From cbdf197db08ba8a8edd925d6811c1c9bf8e0b6be Mon Sep 17 00:00:00 2001 From: Riccardo Spagni Date: Mon, 24 Aug 2015 19:34:10 +0200 Subject: renamed folder --- src/crypto/crypto_ops_builder/Makefile | 10 + src/crypto/crypto_ops_builder/api.h | 2 + src/crypto/crypto_ops_builder/crypto-ops-data.c | 872 ++++ src/crypto/crypto_ops_builder/crypto-ops-old.c | 3008 ++++++++++++ src/crypto/crypto_ops_builder/crypto-ops.h | 148 + src/crypto/crypto_ops_builder/crypto_int32.h | 6 + src/crypto/crypto_ops_builder/crypto_sign.h | 13 + src/crypto/crypto_ops_builder/crypto_uint32.h | 6 + src/crypto/crypto_ops_builder/crypto_verify_32.h | 7 + src/crypto/crypto_ops_builder/ietf.txt | 1402 ++++++ src/crypto/crypto_ops_builder/include/Makefile.am | 62 + .../crypto_ops_builder/include/libsodium_LICENSE | 16 + src/crypto/crypto_ops_builder/include/sodium.h | 50 + .../include/sodium/crypto_int32.h | 8 + .../include/sodium/crypto_int64.h | 8 + .../include/sodium/crypto_uint16.h | 8 + .../include/sodium/crypto_uint32.h | 8 + .../include/sodium/crypto_uint64.h | 8 + .../include/sodium/crypto_uint8.h | 8 + .../include/sodium/crypto_verify_32.h | 22 + .../include/sodium/randombytes.h | 58 + src/crypto/crypto_ops_builder/randombytes.c | 52 + src/crypto/crypto_ops_builder/ref10/Makefile | 41 + src/crypto/crypto_ops_builder/ref10/api.h | 4 + src/crypto/crypto_ops_builder/ref10/base.h | 1344 ++++++ src/crypto/crypto_ops_builder/ref10/base.py | 65 + src/crypto/crypto_ops_builder/ref10/base2.h | 40 + src/crypto/crypto_ops_builder/ref10/base2.py | 60 + src/crypto/crypto_ops_builder/ref10/d.h | 1 + src/crypto/crypto_ops_builder/ref10/d.py | 28 + src/crypto/crypto_ops_builder/ref10/d2.h | 1 + src/crypto/crypto_ops_builder/ref10/d2.py | 28 + src/crypto/crypto_ops_builder/ref10/description | 2 + src/crypto/crypto_ops_builder/ref10/designers | 5 + src/crypto/crypto_ops_builder/ref10/fe.h | 56 + src/crypto/crypto_ops_builder/ref10/fe_0.c | 19 + src/crypto/crypto_ops_builder/ref10/fe_1.c | 19 + src/crypto/crypto_ops_builder/ref10/fe_add.c | 57 + src/crypto/crypto_ops_builder/ref10/fe_cmov.c | 63 + src/crypto/crypto_ops_builder/ref10/fe_copy.c | 29 + src/crypto/crypto_ops_builder/ref10/fe_frombytes.c | 73 + src/crypto/crypto_ops_builder/ref10/fe_invert.c | 14 + .../crypto_ops_builder/ref10/fe_isnegative.c | 16 + src/crypto/crypto_ops_builder/ref10/fe_isnonzero.c | 19 + src/crypto/crypto_ops_builder/ref10/fe_mul.c | 253 + src/crypto/crypto_ops_builder/ref10/fe_neg.c | 45 + src/crypto/crypto_ops_builder/ref10/fe_pow22523.c | 13 + src/crypto/crypto_ops_builder/ref10/fe_sq.c | 149 + src/crypto/crypto_ops_builder/ref10/fe_sq2.c | 160 + src/crypto/crypto_ops_builder/ref10/fe_sub.c | 57 + src/crypto/crypto_ops_builder/ref10/fe_tobytes.c | 119 + src/crypto/crypto_ops_builder/ref10/ge.h | 95 + src/crypto/crypto_ops_builder/ref10/ge_add.c | 11 + src/crypto/crypto_ops_builder/ref10/ge_add.h | 97 + src/crypto/crypto_ops_builder/ref10/ge_add.q | 49 + .../ref10/ge_double_scalarmult.c | 96 + src/crypto/crypto_ops_builder/ref10/ge_frombytes.c | 50 + src/crypto/crypto_ops_builder/ref10/ge_madd.c | 11 + src/crypto/crypto_ops_builder/ref10/ge_madd.h | 88 + src/crypto/crypto_ops_builder/ref10/ge_madd.q | 46 + src/crypto/crypto_ops_builder/ref10/ge_msub.c | 11 + src/crypto/crypto_ops_builder/ref10/ge_msub.h | 88 + src/crypto/crypto_ops_builder/ref10/ge_msub.q | 46 + .../crypto_ops_builder/ref10/ge_p1p1_to_p2.c | 12 + .../crypto_ops_builder/ref10/ge_p1p1_to_p3.c | 13 + src/crypto/crypto_ops_builder/ref10/ge_p2_0.c | 8 + src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.c | 11 + src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.h | 73 + src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.q | 41 + src/crypto/crypto_ops_builder/ref10/ge_p3_0.c | 9 + src/crypto/crypto_ops_builder/ref10/ge_p3_dbl.c | 12 + .../crypto_ops_builder/ref10/ge_p3_to_cached.c | 17 + src/crypto/crypto_ops_builder/ref10/ge_p3_to_p2.c | 12 + .../crypto_ops_builder/ref10/ge_p3_tobytes.c | 14 + src/crypto/crypto_ops_builder/ref10/ge_precomp_0.c | 8 + .../crypto_ops_builder/ref10/ge_scalarmult_base.c | 105 + src/crypto/crypto_ops_builder/ref10/ge_sub.c | 11 + src/crypto/crypto_ops_builder/ref10/ge_sub.h | 97 + src/crypto/crypto_ops_builder/ref10/ge_sub.q | 49 + src/crypto/crypto_ops_builder/ref10/ge_tobytes.c | 14 + src/crypto/crypto_ops_builder/ref10/keypair.c | 23 + src/crypto/crypto_ops_builder/ref10/open.c | 48 + src/crypto/crypto_ops_builder/ref10/pow22523.h | 160 + src/crypto/crypto_ops_builder/ref10/pow22523.q | 61 + src/crypto/crypto_ops_builder/ref10/pow225521.h | 160 + src/crypto/crypto_ops_builder/ref10/pow225521.q | 61 + src/crypto/crypto_ops_builder/ref10/q2h.sh | 4 + src/crypto/crypto_ops_builder/ref10/sc.h | 15 + src/crypto/crypto_ops_builder/ref10/sc_muladd.c | 368 ++ src/crypto/crypto_ops_builder/ref10/sc_reduce.c | 275 ++ src/crypto/crypto_ops_builder/ref10/sign.c | 41 + src/crypto/crypto_ops_builder/ref10/sqrtm1.h | 1 + src/crypto/crypto_ops_builder/ref10/sqrtm1.py | 28 + .../ref10CommentedCombined/MakeCryptoOps.py | 261 ++ .../ref10CommentedCombined/api.h | 4 + .../ref10CommentedCombined/base.h | 1344 ++++++ .../ref10CommentedCombined/base.py | 65 + .../ref10CommentedCombined/base2.h | 40 + .../ref10CommentedCombined/base2.py | 60 + .../ref10CommentedCombined/crypto-ops.h | 145 + .../crypto_ops_builder/ref10CommentedCombined/d.h | 1 + .../crypto_ops_builder/ref10CommentedCombined/d.py | 28 + .../crypto_ops_builder/ref10CommentedCombined/d2.h | 1 + .../ref10CommentedCombined/d2.py | 28 + .../ref10CommentedCombined/description | 7 + .../ref10CommentedCombined/designers | 9 + .../crypto_ops_builder/ref10CommentedCombined/fe.h | 56 + .../ref10CommentedCombined/fe_0.c | 19 + .../ref10CommentedCombined/fe_1.c | 19 + .../ref10CommentedCombined/fe_add.c | 57 + .../ref10CommentedCombined/fe_cmov.c | 63 + .../ref10CommentedCombined/fe_copy.c | 29 + .../ref10CommentedCombined/fe_frombytes.c | 73 + .../ref10CommentedCombined/fe_invert.c | 14 + .../ref10CommentedCombined/fe_isnegative.c | 16 + .../ref10CommentedCombined/fe_isnonzero.c | 19 + .../ref10CommentedCombined/fe_mul.c | 253 + .../ref10CommentedCombined/fe_neg.c | 45 + .../ref10CommentedCombined/fe_pow22523.c | 13 + .../ref10CommentedCombined/fe_sq.c | 149 + .../ref10CommentedCombined/fe_sq2.c | 160 + .../ref10CommentedCombined/fe_sub.c | 57 + .../ref10CommentedCombined/fe_tobytes.c | 119 + .../crypto_ops_builder/ref10CommentedCombined/ge.h | 95 + .../ref10CommentedCombined/ge_add.c | 11 + .../ref10CommentedCombined/ge_add.h | 97 + .../ref10CommentedCombined/ge_add.q | 49 + .../ref10CommentedCombined/ge_double_scalarmult.c | 96 + .../ref10CommentedCombined/ge_frombytes.c | 50 + .../ref10CommentedCombined/ge_madd.c | 11 + .../ref10CommentedCombined/ge_madd.h | 88 + .../ref10CommentedCombined/ge_madd.q | 46 + .../ref10CommentedCombined/ge_msub.c | 11 + .../ref10CommentedCombined/ge_msub.h | 88 + .../ref10CommentedCombined/ge_msub.q | 46 + .../ref10CommentedCombined/ge_p1p1_to_p2.c | 12 + .../ref10CommentedCombined/ge_p1p1_to_p3.c | 13 + .../ref10CommentedCombined/ge_p2_0.c | 8 + .../ref10CommentedCombined/ge_p2_dbl.c | 11 + .../ref10CommentedCombined/ge_p2_dbl.h | 73 + .../ref10CommentedCombined/ge_p2_dbl.q | 41 + .../ref10CommentedCombined/ge_p3_0.c | 9 + .../ref10CommentedCombined/ge_p3_dbl.c | 12 + .../ref10CommentedCombined/ge_p3_to_cached.c | 17 + .../ref10CommentedCombined/ge_p3_to_p2.c | 12 + .../ref10CommentedCombined/ge_p3_tobytes.c | 14 + .../ref10CommentedCombined/ge_precomp_0.c | 8 + .../ref10CommentedCombined/ge_scalarmult_base.c | 105 + .../ref10CommentedCombined/ge_sub.c | 11 + .../ref10CommentedCombined/ge_sub.h | 97 + .../ref10CommentedCombined/ge_sub.q | 49 + .../ref10CommentedCombined/ge_tobytes.c | 14 + .../ref10CommentedCombined/keypair.c | 23 + .../ref10CommentedCombined/open.c | 48 + .../ref10CommentedCombined/pow22523.h | 160 + .../ref10CommentedCombined/pow22523.q | 61 + .../ref10CommentedCombined/pow225521.h | 160 + .../ref10CommentedCombined/pow225521.q | 61 + .../ref10CommentedCombined/q2h.sh | 4 + .../crypto_ops_builder/ref10CommentedCombined/sc.h | 15 + .../ref10CommentedCombined/sc_muladd.c | 368 ++ .../ref10CommentedCombined/sc_reduce.c | 275 ++ .../ref10CommentedCombined/sc_sub.xmr.c | 504 ++ .../ref10CommentedCombined/scrap.txt | 53 + .../ref10CommentedCombined/sign.c | 41 + .../ref10CommentedCombined/sqrtm1.h | 1 + .../ref10CommentedCombined/sqrtm1.py | 28 + .../ref10CommentedCombined/test.py | 5 + .../ref10CommentedCombined/xmrSpecificOld.c | 776 ++++ src/crypto/crypto_ops_builder/sha512-blocks.c | 239 + src/crypto/crypto_ops_builder/sha512-hash.c | 72 + src/crypto/crypto_ops_builder/sha512.h | 4 + src/crypto/crypto_ops_builder/verify.c | 40 + src/crypto/shen_ed25519_ref/Makefile | 10 - src/crypto/shen_ed25519_ref/api.h | 2 - src/crypto/shen_ed25519_ref/crypto-ops-data.c | 872 ---- src/crypto/shen_ed25519_ref/crypto-ops-old.c | 3008 ------------ src/crypto/shen_ed25519_ref/crypto-ops.h | 148 - src/crypto/shen_ed25519_ref/crypto_int32.h | 6 - src/crypto/shen_ed25519_ref/crypto_sign.h | 13 - src/crypto/shen_ed25519_ref/crypto_uint32.h | 6 - src/crypto/shen_ed25519_ref/crypto_verify_32.h | 7 - src/crypto/shen_ed25519_ref/ietf.txt | 1402 ------ src/crypto/shen_ed25519_ref/include/Makefile.am | 62 - .../shen_ed25519_ref/include/libsodium_LICENSE | 16 - src/crypto/shen_ed25519_ref/include/sodium.h | 50 - .../shen_ed25519_ref/include/sodium/crypto_int32.h | 8 - .../shen_ed25519_ref/include/sodium/crypto_int64.h | 8 - .../include/sodium/crypto_uint16.h | 8 - .../include/sodium/crypto_uint32.h | 8 - .../include/sodium/crypto_uint64.h | 8 - .../shen_ed25519_ref/include/sodium/crypto_uint8.h | 8 - .../include/sodium/crypto_verify_32.h | 22 - .../shen_ed25519_ref/include/sodium/randombytes.h | 58 - src/crypto/shen_ed25519_ref/randombytes.c | 52 - src/crypto/shen_ed25519_ref/ref10/Makefile | 41 - src/crypto/shen_ed25519_ref/ref10/api.h | 4 - src/crypto/shen_ed25519_ref/ref10/base.h | 1344 ------ src/crypto/shen_ed25519_ref/ref10/base.py | 65 - src/crypto/shen_ed25519_ref/ref10/base2.h | 40 - src/crypto/shen_ed25519_ref/ref10/base2.py | 60 - src/crypto/shen_ed25519_ref/ref10/d.h | 1 - src/crypto/shen_ed25519_ref/ref10/d.py | 28 - src/crypto/shen_ed25519_ref/ref10/d2.h | 1 - src/crypto/shen_ed25519_ref/ref10/d2.py | 28 - src/crypto/shen_ed25519_ref/ref10/description | 2 - src/crypto/shen_ed25519_ref/ref10/designers | 5 - src/crypto/shen_ed25519_ref/ref10/fe.h | 56 - src/crypto/shen_ed25519_ref/ref10/fe_0.c | 19 - src/crypto/shen_ed25519_ref/ref10/fe_1.c | 19 - src/crypto/shen_ed25519_ref/ref10/fe_add.c | 57 - src/crypto/shen_ed25519_ref/ref10/fe_cmov.c | 63 - src/crypto/shen_ed25519_ref/ref10/fe_copy.c | 29 - src/crypto/shen_ed25519_ref/ref10/fe_frombytes.c | 73 - src/crypto/shen_ed25519_ref/ref10/fe_invert.c | 14 - src/crypto/shen_ed25519_ref/ref10/fe_isnegative.c | 16 - src/crypto/shen_ed25519_ref/ref10/fe_isnonzero.c | 19 - src/crypto/shen_ed25519_ref/ref10/fe_mul.c | 253 - src/crypto/shen_ed25519_ref/ref10/fe_neg.c | 45 - src/crypto/shen_ed25519_ref/ref10/fe_pow22523.c | 13 - src/crypto/shen_ed25519_ref/ref10/fe_sq.c | 149 - src/crypto/shen_ed25519_ref/ref10/fe_sq2.c | 160 - src/crypto/shen_ed25519_ref/ref10/fe_sub.c | 57 - src/crypto/shen_ed25519_ref/ref10/fe_tobytes.c | 119 - src/crypto/shen_ed25519_ref/ref10/ge.h | 95 - src/crypto/shen_ed25519_ref/ref10/ge_add.c | 11 - src/crypto/shen_ed25519_ref/ref10/ge_add.h | 97 - src/crypto/shen_ed25519_ref/ref10/ge_add.q | 49 - .../shen_ed25519_ref/ref10/ge_double_scalarmult.c | 96 - src/crypto/shen_ed25519_ref/ref10/ge_frombytes.c | 50 - src/crypto/shen_ed25519_ref/ref10/ge_madd.c | 11 - src/crypto/shen_ed25519_ref/ref10/ge_madd.h | 88 - src/crypto/shen_ed25519_ref/ref10/ge_madd.q | 46 - src/crypto/shen_ed25519_ref/ref10/ge_msub.c | 11 - src/crypto/shen_ed25519_ref/ref10/ge_msub.h | 88 - src/crypto/shen_ed25519_ref/ref10/ge_msub.q | 46 - src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p2.c | 12 - src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p3.c | 13 - src/crypto/shen_ed25519_ref/ref10/ge_p2_0.c | 8 - src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.c | 11 - src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.h | 73 - src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.q | 41 - src/crypto/shen_ed25519_ref/ref10/ge_p3_0.c | 9 - src/crypto/shen_ed25519_ref/ref10/ge_p3_dbl.c | 12 - .../shen_ed25519_ref/ref10/ge_p3_to_cached.c | 17 - src/crypto/shen_ed25519_ref/ref10/ge_p3_to_p2.c | 12 - src/crypto/shen_ed25519_ref/ref10/ge_p3_tobytes.c | 14 - src/crypto/shen_ed25519_ref/ref10/ge_precomp_0.c | 8 - .../shen_ed25519_ref/ref10/ge_scalarmult_base.c | 105 - src/crypto/shen_ed25519_ref/ref10/ge_sub.c | 11 - src/crypto/shen_ed25519_ref/ref10/ge_sub.h | 97 - src/crypto/shen_ed25519_ref/ref10/ge_sub.q | 49 - src/crypto/shen_ed25519_ref/ref10/ge_tobytes.c | 14 - src/crypto/shen_ed25519_ref/ref10/keypair.c | 23 - src/crypto/shen_ed25519_ref/ref10/open.c | 48 - src/crypto/shen_ed25519_ref/ref10/pow22523.h | 160 - src/crypto/shen_ed25519_ref/ref10/pow22523.q | 61 - src/crypto/shen_ed25519_ref/ref10/pow225521.h | 160 - src/crypto/shen_ed25519_ref/ref10/pow225521.q | 61 - src/crypto/shen_ed25519_ref/ref10/q2h.sh | 4 - src/crypto/shen_ed25519_ref/ref10/sc.h | 15 - src/crypto/shen_ed25519_ref/ref10/sc_muladd.c | 368 -- src/crypto/shen_ed25519_ref/ref10/sc_reduce.c | 275 -- src/crypto/shen_ed25519_ref/ref10/sign.c | 41 - src/crypto/shen_ed25519_ref/ref10/sqrtm1.h | 1 - src/crypto/shen_ed25519_ref/ref10/sqrtm1.py | 28 - .../ref10CommentedCombined/MakeCryptoOps.py | 261 -- .../shen_ed25519_ref/ref10CommentedCombined/api.h | 4 - .../shen_ed25519_ref/ref10CommentedCombined/base.h | 1344 ------ .../ref10CommentedCombined/base.py | 65 - .../ref10CommentedCombined/base2.h | 40 - .../ref10CommentedCombined/base2.py | 60 - .../ref10CommentedCombined/crypto-ops.c | 4830 -------------------- .../ref10CommentedCombined/crypto-ops.h | 145 - .../shen_ed25519_ref/ref10CommentedCombined/d.h | 1 - .../shen_ed25519_ref/ref10CommentedCombined/d.py | 28 - .../shen_ed25519_ref/ref10CommentedCombined/d2.h | 1 - .../shen_ed25519_ref/ref10CommentedCombined/d2.py | 28 - .../ref10CommentedCombined/description | 7 - .../ref10CommentedCombined/designers | 9 - .../shen_ed25519_ref/ref10CommentedCombined/fe.h | 56 - .../shen_ed25519_ref/ref10CommentedCombined/fe_0.c | 19 - .../shen_ed25519_ref/ref10CommentedCombined/fe_1.c | 19 - .../ref10CommentedCombined/fe_add.c | 57 - .../ref10CommentedCombined/fe_cmov.c | 63 - .../ref10CommentedCombined/fe_copy.c | 29 - .../ref10CommentedCombined/fe_frombytes.c | 73 - .../ref10CommentedCombined/fe_invert.c | 14 - .../ref10CommentedCombined/fe_isnegative.c | 16 - .../ref10CommentedCombined/fe_isnonzero.c | 19 - .../ref10CommentedCombined/fe_mul.c | 253 - .../ref10CommentedCombined/fe_neg.c | 45 - .../ref10CommentedCombined/fe_pow22523.c | 13 - .../ref10CommentedCombined/fe_sq.c | 149 - .../ref10CommentedCombined/fe_sq2.c | 160 - .../ref10CommentedCombined/fe_sub.c | 57 - .../ref10CommentedCombined/fe_tobytes.c | 119 - .../shen_ed25519_ref/ref10CommentedCombined/ge.h | 95 - .../ref10CommentedCombined/ge_add.c | 11 - .../ref10CommentedCombined/ge_add.h | 97 - .../ref10CommentedCombined/ge_add.q | 49 - .../ref10CommentedCombined/ge_double_scalarmult.c | 96 - .../ref10CommentedCombined/ge_frombytes.c | 50 - .../ref10CommentedCombined/ge_madd.c | 11 - .../ref10CommentedCombined/ge_madd.h | 88 - .../ref10CommentedCombined/ge_madd.q | 46 - .../ref10CommentedCombined/ge_msub.c | 11 - .../ref10CommentedCombined/ge_msub.h | 88 - .../ref10CommentedCombined/ge_msub.q | 46 - .../ref10CommentedCombined/ge_p1p1_to_p2.c | 12 - .../ref10CommentedCombined/ge_p1p1_to_p3.c | 13 - .../ref10CommentedCombined/ge_p2_0.c | 8 - .../ref10CommentedCombined/ge_p2_dbl.c | 11 - .../ref10CommentedCombined/ge_p2_dbl.h | 73 - .../ref10CommentedCombined/ge_p2_dbl.q | 41 - .../ref10CommentedCombined/ge_p3_0.c | 9 - .../ref10CommentedCombined/ge_p3_dbl.c | 12 - .../ref10CommentedCombined/ge_p3_to_cached.c | 17 - .../ref10CommentedCombined/ge_p3_to_p2.c | 12 - .../ref10CommentedCombined/ge_p3_tobytes.c | 14 - .../ref10CommentedCombined/ge_precomp_0.c | 8 - .../ref10CommentedCombined/ge_scalarmult_base.c | 105 - .../ref10CommentedCombined/ge_sub.c | 11 - .../ref10CommentedCombined/ge_sub.h | 97 - .../ref10CommentedCombined/ge_sub.q | 49 - .../ref10CommentedCombined/ge_tobytes.c | 14 - .../ref10CommentedCombined/keypair.c | 23 - .../shen_ed25519_ref/ref10CommentedCombined/open.c | 48 - .../ref10CommentedCombined/pow22523.h | 160 - .../ref10CommentedCombined/pow22523.q | 61 - .../ref10CommentedCombined/pow225521.h | 160 - .../ref10CommentedCombined/pow225521.q | 61 - .../shen_ed25519_ref/ref10CommentedCombined/q2h.sh | 4 - .../shen_ed25519_ref/ref10CommentedCombined/sc.h | 15 - .../ref10CommentedCombined/sc_muladd.c | 368 -- .../ref10CommentedCombined/sc_reduce.c | 275 -- .../ref10CommentedCombined/sc_sub.xmr.c | 504 -- .../ref10CommentedCombined/scrap.txt | 53 - .../shen_ed25519_ref/ref10CommentedCombined/sign.c | 41 - .../ref10CommentedCombined/sqrtm1.h | 1 - .../ref10CommentedCombined/sqrtm1.py | 28 - .../ref10CommentedCombined/test.py | 5 - .../ref10CommentedCombined/xmrSpecificOld.c | 776 ---- src/crypto/shen_ed25519_ref/sha512-blocks.c | 239 - src/crypto/shen_ed25519_ref/sha512-hash.c | 72 - src/crypto/shen_ed25519_ref/sha512.h | 4 - src/crypto/shen_ed25519_ref/verify.c | 40 - 347 files changed, 18287 insertions(+), 23117 deletions(-) create mode 100755 src/crypto/crypto_ops_builder/Makefile create mode 100755 src/crypto/crypto_ops_builder/api.h create mode 100644 src/crypto/crypto_ops_builder/crypto-ops-data.c create mode 100644 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index 000000000..60339596d --- /dev/null +++ b/src/crypto/crypto_ops_builder/api.h @@ -0,0 +1,2 @@ +#define CRYPTO_BYTES 32 +#define CRYPTO_SCALARBYTES 32 diff --git a/src/crypto/crypto_ops_builder/crypto-ops-data.c b/src/crypto/crypto_ops_builder/crypto-ops-data.c new file mode 100644 index 000000000..c26abacca --- /dev/null +++ b/src/crypto/crypto_ops_builder/crypto-ops-data.c @@ -0,0 +1,872 @@ +// Copyright (c) 2014-2015, The Monero Project +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers + +#include + +#include "crypto-ops.h" + +/* sqrt(x) is such an integer y that 0 <= y <= p - 1, y % 2 = 0, and y^2 = x (mod p). */ +/* d = -121665 / 121666 */ +const fe fe_d = {-10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116}; /* d */ +const fe fe_sqrtm1 = {-32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482}; /* sqrt(-1) */ +const fe fe_d2 = {-21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199}; /* 2 * d */ + +/* base[i][j] = (j+1)*256^i*B */ +const ge_precomp ge_base[32][8] = { + { + {{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, + {-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, + {-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}}, + {{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303}, + {-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081}, + {26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697}}, + {{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, + {16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, + {30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}}, + {{-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540}, + {23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397}, + {7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325}}, + {{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, + {4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, + {19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}}, + {{-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777}, + {-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737}, + {-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652}}, + {{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, + {-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, + {28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}}, + {{14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726}, + {-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955}, + {27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425}} + }, { + {{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171}, + {27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510}, + {17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660}}, + {{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639}, + {29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963}, + {5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950}}, + {{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568}, + {12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335}, + {25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628}}, + {{-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007}, + {-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772}, + {-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653}}, + {{2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567}, + {13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686}, + {21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372}}, + {{-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887}, + {-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954}, + {-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953}}, + {{24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833}, + {-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532}, + {-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876}}, + {{2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268}, + {33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214}, + {1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038}} + }, { + {{6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800}, + {4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645}, + {-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664}}, + {{1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933}, + {-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182}, + {-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222}}, + {{-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991}, + {20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880}, + {9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092}}, + {{-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295}, + {19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788}, + {8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553}}, + {{-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026}, + {11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347}, + {-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033}}, + {{-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395}, + {-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278}, + {1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890}}, + {{32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995}, + {-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596}, + {-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891}}, + {{31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060}, + {11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608}, + {-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606}} + }, { + {{7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389}, + {-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016}, + {-11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341}}, + {{-22472376, -11568741, -27682020, 1146375, 18956691, 16640559, 1192730, -3714199, 15123619, 10811505}, + {14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363, 15776356, -28886779, -11974553}, + {-28241164, -8072475, -4978962, -5315317, 29416931, 1847569, -20654173, -16484855, 4714547, -9600655}}, + {{15200332, 8368572, 19679101, 15970074, -31872674, 1959451, 24611599, -4543832, -11745876, 12340220}, + {12876937, -10480056, 33134381, 6590940, -6307776, 14872440, 9613953, 8241152, 15370987, 9608631}, + {-4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868, 15866074, -28210621, -8814099}}, + {{26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233, 858697, 20571223, 8420556}, + {14620715, 13067227, -15447274, 8264467, 14106269, 15080814, 33531827, 12516406, -21574435, -12476749}, + {236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519, 7256740, 8791136, 15069930}}, + {{1276410, -9371918, 22949635, -16322807, -23493039, -5702186, 14711875, 4874229, -30663140, -2331391}, + {5855666, 4990204, -13711848, 7294284, -7804282, 1924647, -1423175, -7912378, -33069337, 9234253}, + {20590503, -9018988, 31529744, -7352666, -2706834, 10650548, 31559055, -11609587, 18979186, 13396066}}, + {{24474287, 4968103, 22267082, 4407354, 24063882, -8325180, -18816887, 13594782, 33514650, 7021958}, + {-11566906, -6565505, -21365085, 15928892, -26158305, 4315421, -25948728, -3916677, -21480480, 12868082}, + {-28635013, 13504661, 19988037, -2132761, 21078225, 6443208, -21446107, 2244500, -12455797, -8089383}}, + {{-30595528, 13793479, -5852820, 319136, -25723172, -6263899, 33086546, 8957937, -15233648, 5540521}, + {-11630176, -11503902, -8119500, -7643073, 2620056, 1022908, -23710744, -1568984, -16128528, -14962807}, + {23152971, 775386, 27395463, 14006635, -9701118, 4649512, 1689819, 892185, -11513277, -15205948}}, + {{9770129, 9586738, 26496094, 4324120, 1556511, -3550024, 27453819, 4763127, -19179614, 5867134}, + {-32765025, 1927590, 31726409, -4753295, 23962434, -16019500, 27846559, 5931263, -29749703, -16108455}, + {27461885, -2977536, 22380810, 1815854, -23033753, -3031938, 7283490, -15148073, -19526700, 7734629}} + }, { + {{-8010264, -9590817, -11120403, 6196038, 29344158, -13430885, 7585295, -3176626, 18549497, 15302069}, + {-32658337, -6171222, -7672793, -11051681, 6258878, 13504381, 10458790, -6418461, -8872242, 8424746}, + {24687205, 8613276, -30667046, -3233545, 1863892, -1830544, 19206234, 7134917, -11284482, -828919}}, + {{11334899, -9218022, 8025293, 12707519, 17523892, -10476071, 10243738, -14685461, -5066034, 16498837}, + {8911542, 6887158, -9584260, -6958590, 11145641, -9543680, 17303925, -14124238, 6536641, 10543906}, + {-28946384, 15479763, -17466835, 568876, -1497683, 11223454, -2669190, -16625574, -27235709, 8876771}}, + {{-25742899, -12566864, 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13403813, 11052904, 5219329}} + }, { + {{20678546, -8375738, -32671898, 8849123, -5009758, 14574752, 31186971, -3973730, 9014762, -8579056}, + {-13644050, -10350239, -15962508, 5075808, -1514661, -11534600, -33102500, 9160280, 8473550, -3256838}, + {24900749, 14435722, 17209120, -15292541, -22592275, 9878983, -7689309, -16335821, -24568481, 11788948}}, + {{-3118155, -11395194, -13802089, 14797441, 9652448, -6845904, -20037437, 10410733, -24568470, -1458691}, + {-15659161, 16736706, -22467150, 10215878, -9097177, 7563911, 11871841, -12505194, -18513325, 8464118}, + {-23400612, 8348507, -14585951, -861714, -3950205, -6373419, 14325289, 8628612, 33313881, -8370517}}, + {{-20186973, -4967935, 22367356, 5271547, -1097117, -4788838, -24805667, -10236854, -8940735, -5818269}, + {-6948785, -1795212, -32625683, -16021179, 32635414, -7374245, 15989197, -12838188, 28358192, -4253904}, + {-23561781, -2799059, -32351682, -1661963, -9147719, 10429267, -16637684, 4072016, -5351664, 5596589}}, + {{-28236598, -3390048, 12312896, 6213178, 3117142, 16078565, 29266239, 2557221, 1768301, 15373193}, + {-7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -4504991, -24660491, 3442910}, + {-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930}}, + {{-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667}, + {25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481}, + {-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876}}, + {{22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640}, + {-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278}, + {-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112}}, + {{26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272}, + {17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012}, + {-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221}}, + {{30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046}, + {13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345}, + {-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310}} + }, { + {{19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937}, + {31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636}, + {-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008}}, + {{-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429}, + {-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576}, + {31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066}}, + {{-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490}, + {-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104}, + {33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053}}, + {{31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275}, + {-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511}, + {22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095}}, + {{-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439}, + {23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939}, + {-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424}}, + {{2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310}, + {3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608}, + {-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079}}, + {{-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101}, + {21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418}, + {18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576}}, + {{30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356}, + {9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996}, + {-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099}} + }, { + {{-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728}, + {-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658}, + {-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242}}, + {{-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001}, + {-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766}, + {18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373}}, + {{26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458}, + {-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628}, + {-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657}}, + {{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062}, + {25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616}, + {31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014}}, + {{24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383}, + {-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814}, + {-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718}}, + {{30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417}, + {2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222}, + {33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444}}, + {{-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597}, + {23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970}, + {1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799}}, + {{-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647}, + {13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511}, + {-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032}} + }, { + {{9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834}, + {-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461}, + {29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062}}, + {{-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516}, + {-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547}, + {-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240}}, + {{-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038}, + {-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741}, + {16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103}}, + {{-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747}, + {-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323}, + {31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016}}, + {{-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373}, + {15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228}, + {-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141}}, + {{16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399}, + {11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831}, + {-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376}}, + {{-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313}, + {-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958}, + {-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577}}, + {{-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743}, + {29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684}, + {-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476}} + } +}; + +const ge_precomp ge_Bi[8] = { + {{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, + {-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, + {-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}}, {{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, + {16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, + {30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}}, {{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, + {4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, + {19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}}, {{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, + {-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, + {28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}}, {{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877}, + {-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951}, + {4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784}}, {{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436}, + {25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918}, + {23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877}}, {{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800}, + {-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305}, + {-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300}}, {{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876}, + {-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619}, + {-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683}} +}; + +/* A = 2 * (1 - d) / (1 + d) = 486662 */ +const fe fe_ma2 = {-12721188, -3529, 0, 0, 0, 0, 0, 0, 0, 0}; /* -A^2 */ +const fe fe_ma = {-486662, 0, 0, 0, 0, 0, 0, 0, 0, 0}; /* -A */ +const fe fe_fffb1 = {-31702527, -2466483, -26106795, -12203692, -12169197, -321052, 14850977, -10296299, -16929438, -407568}; /* sqrt(-2 * A * (A + 2)) */ +const fe fe_fffb2 = {8166131, -6741800, -17040804, 3154616, 21461005, 1466302, -30876704, -6368709, 10503587, -13363080}; /* sqrt(2 * A * (A + 2)) */ +const fe fe_fffb3 = {-13620103, 14639558, 4532995, 7679154, 16815101, -15883539, -22863840, -14813421, 13716513, -6477756}; /* sqrt(-sqrt(-1) * A * (A + 2)) */ +const fe fe_fffb4 = {-21786234, -12173074, 21573800, 4524538, -4645904, 16204591, 8012863, -8444712, 3212926, 6885324}; /* sqrt(sqrt(-1) * A * (A + 2)) */ diff --git a/src/crypto/crypto_ops_builder/crypto-ops-old.c b/src/crypto/crypto_ops_builder/crypto-ops-old.c new file mode 100644 index 000000000..88e6c09ac --- /dev/null +++ b/src/crypto/crypto_ops_builder/crypto-ops-old.c @@ -0,0 +1,3008 @@ +// Copyright (c) 2014-2015, The Monero Project +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers + + +#include //standard +#include //standard + +//#include "warnings.h" //where is this?? +#include "crypto-ops.h" //fine + +//DISABLE_VS_WARNINGS(4146 4244) + +/* Predeclarations */ + +static void fe_mul(fe, const fe, const fe); +static void fe_sq(fe, const fe); +static void fe_tobytes(unsigned char *, const fe); +static void ge_madd(ge_p1p1 *, const ge_p3 *, const ge_precomp *); +static void ge_msub(ge_p1p1 *, const ge_p3 *, const ge_precomp *); +static void ge_p2_0(ge_p2 *); +static void ge_p3_dbl(ge_p1p1 *, const ge_p3 *); +static void ge_sub(ge_p1p1 *, const ge_p3 *, const ge_cached *); +static void fe_divpowm1(fe, const fe, const fe); + +/* Common functions */ + +//x +//u +static uint64_t load_3(const unsigned char *in) { + uint64_t result; + result = (uint64_t) in[0]; + result |= ((uint64_t) in[1]) << 8; + result |= ((uint64_t) in[2]) << 16; + return result; +} + +//x +//u +static uint64_t load_4(const unsigned char *in) +{ + uint64_t result; + result = (uint64_t) in[0]; + result |= ((uint64_t) in[1]) << 8; + result |= ((uint64_t) in[2]) << 16; + result |= ((uint64_t) in[3]) << 24; + return result; +} + +/* From fe_0.c */ + +/* +h = 0 +*/ + +//x +static void fe_0(fe h) { + h[0] = 0; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} + +/* From fe_1.c */ + +/* +h = 1 +*/ + +//x +static void fe_1(fe h) { + h[0] = 1; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} + +/* From fe_add.c */ + +/* +h = f + g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +static void fe_add(fe h, const fe f, const fe g) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t h0 = f0 + g0; + int32_t h1 = f1 + g1; + int32_t h2 = f2 + g2; + int32_t h3 = f3 + g3; + int32_t h4 = f4 + g4; + int32_t h5 = f5 + g5; + int32_t h6 = f6 + g6; + int32_t h7 = f7 + g7; + int32_t h8 = f8 + g8; + int32_t h9 = f9 + g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* From fe_cmov.c */ + +/* +Replace (f,g) with (g,g) if b == 1; +replace (f,g) with (f,g) if b == 0. + +Preconditions: b in {0,1}. +*/ + +//x +static void fe_cmov(fe f, const fe g, unsigned int b) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t x0 = f0 ^ g0; + int32_t x1 = f1 ^ g1; + int32_t x2 = f2 ^ g2; + int32_t x3 = f3 ^ g3; + int32_t x4 = f4 ^ g4; + int32_t x5 = f5 ^ g5; + int32_t x6 = f6 ^ g6; + int32_t x7 = f7 ^ g7; + int32_t x8 = f8 ^ g8; + int32_t x9 = f9 ^ g9; + assert((((b - 1) & ~b) | ((b - 2) & ~(b - 1))) == (unsigned int) -1); + b = -b; + x0 &= b; + x1 &= b; + x2 &= b; + x3 &= b; + x4 &= b; + x5 &= b; + x6 &= b; + x7 &= b; + x8 &= b; + x9 &= b; + f[0] = f0 ^ x0; + f[1] = f1 ^ x1; + f[2] = f2 ^ x2; + f[3] = f3 ^ x3; + f[4] = f4 ^ x4; + f[5] = f5 ^ x5; + f[6] = f6 ^ x6; + f[7] = f7 ^ x7; + f[8] = f8 ^ x8; + f[9] = f9 ^ x9; +} + +/* From fe_copy.c */ + +/* +h = f +*/ + +//x +static void fe_copy(fe h, const fe f) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + h[0] = f0; + h[1] = f1; + h[2] = f2; + h[3] = f3; + h[4] = f4; + h[5] = f5; + h[6] = f6; + h[7] = f7; + h[8] = f8; + h[9] = f9; +} + +/* From fe_invert.c */ + +//x using fermat +static void fe_invert(fe out, const fe z) { + fe t0; + fe t1; + fe t2; + fe t3; + int i; + + fe_sq(t0, z); + fe_sq(t1, t0); + fe_sq(t1, t1); + fe_mul(t1, z, t1); + fe_mul(t0, t0, t1); + fe_sq(t2, t0); + fe_mul(t1, t1, t2); + fe_sq(t2, t1); + for (i = 0; i < 4; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + fe_sq(t2, t1); + for (i = 0; i < 9; ++i) { + fe_sq(t2, t2); + } + fe_mul(t2, t2, t1); + fe_sq(t3, t2); + for (i = 0; i < 19; ++i) { + fe_sq(t3, t3); + } + fe_mul(t2, t3, t2); + fe_sq(t2, t2); + for (i = 0; i < 9; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + fe_sq(t2, t1); + for (i = 0; i < 49; ++i) { + fe_sq(t2, t2); + } + fe_mul(t2, t2, t1); + fe_sq(t3, t2); + for (i = 0; i < 99; ++i) { + fe_sq(t3, t3); + } + fe_mul(t2, t3, t2); + fe_sq(t2, t2); + for (i = 0; i < 49; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + fe_sq(t1, t1); + for (i = 0; i < 4; ++i) { + fe_sq(t1, t1); + } + fe_mul(out, t1, t0); + + return; +} + +/* From fe_isnegative.c */ + +/* +return 1 if f is in {1,3,5,...,q-2} +return 0 if f is in {0,2,4,...,q-1} + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +//x +static int fe_isnegative(const fe f) { + unsigned char s[32]; + fe_tobytes(s, f); + return s[0] & 1; +} + +/* From fe_isnonzero.c, modified */ + +//x +static int fe_isnonzero(const fe f) { + unsigned char s[32]; + fe_tobytes(s, f); + return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | + s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | + s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | + s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; +} + +/* From fe_mul.c */ + +/* +h = f * g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +Notes on implementation strategy: + +Using schoolbook multiplication. +Karatsuba would save a little in some cost models. + +Most multiplications by 2 and 19 are 32-bit precomputations; +cheaper than 64-bit postcomputations. + +There is one remaining multiplication by 19 in the carry chain; +one *19 precomputation can be merged into this, +but the resulting data flow is considerably less clean. + +There are 12 carries below. +10 of them are 2-way parallelizable and vectorizable. +Can get away with 11 carries, but then data flow is much deeper. + +With tighter constraints on inputs can squeeze carries into int32. +*/ + +static void fe_mul(fe h, const fe f, const fe g) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */ + int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ + int32_t g3_19 = 19 * g3; + int32_t g4_19 = 19 * g4; + int32_t g5_19 = 19 * g5; + int32_t g6_19 = 19 * g6; + int32_t g7_19 = 19 * g7; + int32_t g8_19 = 19 * g8; + int32_t g9_19 = 19 * g9; + int32_t f1_2 = 2 * f1; + int32_t f3_2 = 2 * f3; + int32_t f5_2 = 2 * f5; + int32_t f7_2 = 2 * f7; + int32_t f9_2 = 2 * f9; + int64_t f0g0 = f0 * (int64_t) g0; + int64_t f0g1 = f0 * (int64_t) g1; + int64_t f0g2 = f0 * (int64_t) g2; + int64_t f0g3 = f0 * (int64_t) g3; + int64_t f0g4 = f0 * (int64_t) g4; + int64_t f0g5 = f0 * (int64_t) g5; + int64_t f0g6 = f0 * (int64_t) g6; + int64_t f0g7 = f0 * (int64_t) g7; + int64_t f0g8 = f0 * (int64_t) g8; + int64_t f0g9 = f0 * (int64_t) g9; + int64_t f1g0 = f1 * (int64_t) g0; + int64_t f1g1_2 = f1_2 * (int64_t) g1; + int64_t f1g2 = f1 * (int64_t) g2; + int64_t f1g3_2 = f1_2 * (int64_t) g3; + int64_t f1g4 = f1 * (int64_t) g4; + int64_t f1g5_2 = f1_2 * (int64_t) g5; + int64_t f1g6 = f1 * (int64_t) g6; + int64_t f1g7_2 = f1_2 * (int64_t) g7; + int64_t f1g8 = f1 * (int64_t) g8; + int64_t f1g9_38 = f1_2 * (int64_t) g9_19; + int64_t f2g0 = f2 * (int64_t) g0; + int64_t f2g1 = f2 * (int64_t) g1; + int64_t f2g2 = f2 * (int64_t) g2; + int64_t f2g3 = f2 * (int64_t) g3; + int64_t f2g4 = f2 * (int64_t) g4; + int64_t f2g5 = f2 * (int64_t) g5; + int64_t f2g6 = f2 * (int64_t) g6; + int64_t f2g7 = f2 * (int64_t) g7; + int64_t f2g8_19 = f2 * (int64_t) g8_19; + int64_t f2g9_19 = f2 * (int64_t) g9_19; + int64_t f3g0 = f3 * (int64_t) g0; + int64_t f3g1_2 = f3_2 * (int64_t) g1; + int64_t f3g2 = f3 * (int64_t) g2; + int64_t f3g3_2 = f3_2 * (int64_t) g3; + int64_t f3g4 = f3 * (int64_t) g4; + int64_t f3g5_2 = f3_2 * (int64_t) g5; + int64_t f3g6 = f3 * (int64_t) g6; + int64_t f3g7_38 = f3_2 * (int64_t) g7_19; + int64_t f3g8_19 = f3 * (int64_t) g8_19; + int64_t f3g9_38 = f3_2 * (int64_t) g9_19; + int64_t f4g0 = f4 * (int64_t) g0; + int64_t f4g1 = f4 * (int64_t) g1; + int64_t f4g2 = f4 * (int64_t) g2; + int64_t f4g3 = f4 * (int64_t) g3; + int64_t f4g4 = f4 * (int64_t) g4; + int64_t f4g5 = f4 * (int64_t) g5; + int64_t f4g6_19 = f4 * (int64_t) g6_19; + int64_t f4g7_19 = f4 * (int64_t) g7_19; + int64_t f4g8_19 = f4 * (int64_t) g8_19; + int64_t f4g9_19 = f4 * (int64_t) g9_19; + int64_t f5g0 = f5 * (int64_t) g0; + int64_t f5g1_2 = f5_2 * (int64_t) g1; + int64_t f5g2 = f5 * (int64_t) g2; + int64_t f5g3_2 = f5_2 * (int64_t) g3; + int64_t f5g4 = f5 * (int64_t) g4; + int64_t f5g5_38 = f5_2 * (int64_t) g5_19; + int64_t f5g6_19 = f5 * (int64_t) g6_19; + int64_t f5g7_38 = f5_2 * (int64_t) g7_19; + int64_t f5g8_19 = f5 * (int64_t) g8_19; + int64_t f5g9_38 = f5_2 * (int64_t) g9_19; + int64_t f6g0 = f6 * (int64_t) g0; + int64_t f6g1 = f6 * (int64_t) g1; + int64_t f6g2 = f6 * (int64_t) g2; + int64_t f6g3 = f6 * (int64_t) g3; + int64_t f6g4_19 = f6 * (int64_t) g4_19; + int64_t f6g5_19 = f6 * (int64_t) g5_19; + int64_t f6g6_19 = f6 * (int64_t) g6_19; + int64_t f6g7_19 = f6 * (int64_t) g7_19; + int64_t f6g8_19 = f6 * (int64_t) g8_19; + int64_t f6g9_19 = f6 * (int64_t) g9_19; + int64_t f7g0 = f7 * (int64_t) g0; + int64_t f7g1_2 = f7_2 * (int64_t) g1; + int64_t f7g2 = f7 * (int64_t) g2; + int64_t f7g3_38 = f7_2 * (int64_t) g3_19; + int64_t f7g4_19 = f7 * (int64_t) g4_19; + int64_t f7g5_38 = f7_2 * (int64_t) g5_19; + int64_t f7g6_19 = f7 * (int64_t) g6_19; + int64_t f7g7_38 = f7_2 * (int64_t) g7_19; + int64_t f7g8_19 = f7 * (int64_t) g8_19; + int64_t f7g9_38 = f7_2 * (int64_t) g9_19; + int64_t f8g0 = f8 * (int64_t) g0; + int64_t f8g1 = f8 * (int64_t) g1; + int64_t f8g2_19 = f8 * (int64_t) g2_19; + int64_t f8g3_19 = f8 * (int64_t) g3_19; + int64_t f8g4_19 = f8 * (int64_t) g4_19; + int64_t f8g5_19 = f8 * (int64_t) g5_19; + int64_t f8g6_19 = f8 * (int64_t) g6_19; + int64_t f8g7_19 = f8 * (int64_t) g7_19; + int64_t f8g8_19 = f8 * (int64_t) g8_19; + int64_t f8g9_19 = f8 * (int64_t) g9_19; + int64_t f9g0 = f9 * (int64_t) g0; + int64_t f9g1_38 = f9_2 * (int64_t) g1_19; + int64_t f9g2_19 = f9 * (int64_t) g2_19; + int64_t f9g3_38 = f9_2 * (int64_t) g3_19; + int64_t f9g4_19 = f9 * (int64_t) g4_19; + int64_t f9g5_38 = f9_2 * (int64_t) g5_19; + int64_t f9g6_19 = f9 * (int64_t) g6_19; + int64_t f9g7_38 = f9_2 * (int64_t) g7_19; + int64_t f9g8_19 = f9 * (int64_t) g8_19; + int64_t f9g9_38 = f9_2 * (int64_t) g9_19; + int64_t h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; + int64_t h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; + int64_t h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; + int64_t h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; + int64_t h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; + int64_t h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; + int64_t h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; + int64_t h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; + int64_t h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; + int64_t h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + /* + |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) + i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 + |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) + i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 + */ + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.71*2^59 */ + /* |h5| <= 1.71*2^59 */ + + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + /* |h1| <= 2^24; from now on fits into int32 */ + /* |h5| <= 2^24; from now on fits into int32 */ + /* |h2| <= 1.41*2^60 */ + /* |h6| <= 1.41*2^60 */ + + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + /* |h2| <= 2^25; from now on fits into int32 unchanged */ + /* |h6| <= 2^25; from now on fits into int32 unchanged */ + /* |h3| <= 1.71*2^59 */ + /* |h7| <= 1.71*2^59 */ + + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + /* |h3| <= 2^24; from now on fits into int32 unchanged */ + /* |h7| <= 2^24; from now on fits into int32 unchanged */ + /* |h4| <= 1.72*2^34 */ + /* |h8| <= 1.41*2^60 */ + + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + /* |h4| <= 2^25; from now on fits into int32 unchanged */ + /* |h8| <= 2^25; from now on fits into int32 unchanged */ + /* |h5| <= 1.01*2^24 */ + /* |h9| <= 1.71*2^59 */ + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.1*2^39 */ + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* From fe_neg.c */ + +/* +h = -f + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +*/ + +//x +static void fe_neg(fe h, const fe f) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t h0 = -f0; + int32_t h1 = -f1; + int32_t h2 = -f2; + int32_t h3 = -f3; + int32_t h4 = -f4; + int32_t h5 = -f5; + int32_t h6 = -f6; + int32_t h7 = -f7; + int32_t h8 = -f8; + int32_t h9 = -f9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* From fe_sq.c */ + +/* +h = f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +static void fe_sq(fe h, const fe f) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t f0_2 = 2 * f0; + int32_t f1_2 = 2 * f1; + int32_t f2_2 = 2 * f2; + int32_t f3_2 = 2 * f3; + int32_t f4_2 = 2 * f4; + int32_t f5_2 = 2 * f5; + int32_t f6_2 = 2 * f6; + int32_t f7_2 = 2 * f7; + int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ + int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ + int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ + int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ + int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ + int64_t f0f0 = f0 * (int64_t) f0; + int64_t f0f1_2 = f0_2 * (int64_t) f1; + int64_t f0f2_2 = f0_2 * (int64_t) f2; + int64_t f0f3_2 = f0_2 * (int64_t) f3; + int64_t f0f4_2 = f0_2 * (int64_t) f4; + int64_t f0f5_2 = f0_2 * (int64_t) f5; + int64_t f0f6_2 = f0_2 * (int64_t) f6; + int64_t f0f7_2 = f0_2 * (int64_t) f7; + int64_t f0f8_2 = f0_2 * (int64_t) f8; + int64_t f0f9_2 = f0_2 * (int64_t) f9; + int64_t f1f1_2 = f1_2 * (int64_t) f1; + int64_t f1f2_2 = f1_2 * (int64_t) f2; + int64_t f1f3_4 = f1_2 * (int64_t) f3_2; + int64_t f1f4_2 = f1_2 * (int64_t) f4; + int64_t f1f5_4 = f1_2 * (int64_t) f5_2; + int64_t f1f6_2 = f1_2 * (int64_t) f6; + int64_t f1f7_4 = f1_2 * (int64_t) f7_2; + int64_t f1f8_2 = f1_2 * (int64_t) f8; + int64_t f1f9_76 = f1_2 * (int64_t) f9_38; + int64_t f2f2 = f2 * (int64_t) f2; + int64_t f2f3_2 = f2_2 * (int64_t) f3; + int64_t f2f4_2 = f2_2 * (int64_t) f4; + int64_t f2f5_2 = f2_2 * (int64_t) f5; + int64_t f2f6_2 = f2_2 * (int64_t) f6; + int64_t f2f7_2 = f2_2 * (int64_t) f7; + int64_t f2f8_38 = f2_2 * (int64_t) f8_19; + int64_t f2f9_38 = f2 * (int64_t) f9_38; + int64_t f3f3_2 = f3_2 * (int64_t) f3; + int64_t f3f4_2 = f3_2 * (int64_t) f4; + int64_t f3f5_4 = f3_2 * (int64_t) f5_2; + int64_t f3f6_2 = f3_2 * (int64_t) f6; + int64_t f3f7_76 = f3_2 * (int64_t) f7_38; + int64_t f3f8_38 = f3_2 * (int64_t) f8_19; + int64_t f3f9_76 = f3_2 * (int64_t) f9_38; + int64_t f4f4 = f4 * (int64_t) f4; + int64_t f4f5_2 = f4_2 * (int64_t) f5; + int64_t f4f6_38 = f4_2 * (int64_t) f6_19; + int64_t f4f7_38 = f4 * (int64_t) f7_38; + int64_t f4f8_38 = f4_2 * (int64_t) f8_19; + int64_t f4f9_38 = f4 * (int64_t) f9_38; + int64_t f5f5_38 = f5 * (int64_t) f5_38; + int64_t f5f6_38 = f5_2 * (int64_t) f6_19; + int64_t f5f7_76 = f5_2 * (int64_t) f7_38; + int64_t f5f8_38 = f5_2 * (int64_t) f8_19; + int64_t f5f9_76 = f5_2 * (int64_t) f9_38; + int64_t f6f6_19 = f6 * (int64_t) f6_19; + int64_t f6f7_38 = f6 * (int64_t) f7_38; + int64_t f6f8_38 = f6_2 * (int64_t) f8_19; + int64_t f6f9_38 = f6 * (int64_t) f9_38; + int64_t f7f7_38 = f7 * (int64_t) f7_38; + int64_t f7f8_38 = f7_2 * (int64_t) f8_19; + int64_t f7f9_76 = f7_2 * (int64_t) f9_38; + int64_t f8f8_19 = f8 * (int64_t) f8_19; + int64_t f8f9_38 = f8 * (int64_t) f9_38; + int64_t f9f9_38 = f9 * (int64_t) f9_38; + int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* From fe_sq2.c */ + +/* +h = 2 * f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +static void fe_sq2(fe h, const fe f) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t f0_2 = 2 * f0; + int32_t f1_2 = 2 * f1; + int32_t f2_2 = 2 * f2; + int32_t f3_2 = 2 * f3; + int32_t f4_2 = 2 * f4; + int32_t f5_2 = 2 * f5; + int32_t f6_2 = 2 * f6; + int32_t f7_2 = 2 * f7; + int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ + int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ + int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ + int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ + int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ + int64_t f0f0 = f0 * (int64_t) f0; + int64_t f0f1_2 = f0_2 * (int64_t) f1; + int64_t f0f2_2 = f0_2 * (int64_t) f2; + int64_t f0f3_2 = f0_2 * (int64_t) f3; + int64_t f0f4_2 = f0_2 * (int64_t) f4; + int64_t f0f5_2 = f0_2 * (int64_t) f5; + int64_t f0f6_2 = f0_2 * (int64_t) f6; + int64_t f0f7_2 = f0_2 * (int64_t) f7; + int64_t f0f8_2 = f0_2 * (int64_t) f8; + int64_t f0f9_2 = f0_2 * (int64_t) f9; + int64_t f1f1_2 = f1_2 * (int64_t) f1; + int64_t f1f2_2 = f1_2 * (int64_t) f2; + int64_t f1f3_4 = f1_2 * (int64_t) f3_2; + int64_t f1f4_2 = f1_2 * (int64_t) f4; + int64_t f1f5_4 = f1_2 * (int64_t) f5_2; + int64_t f1f6_2 = f1_2 * (int64_t) f6; + int64_t f1f7_4 = f1_2 * (int64_t) f7_2; + int64_t f1f8_2 = f1_2 * (int64_t) f8; + int64_t f1f9_76 = f1_2 * (int64_t) f9_38; + int64_t f2f2 = f2 * (int64_t) f2; + int64_t f2f3_2 = f2_2 * (int64_t) f3; + int64_t f2f4_2 = f2_2 * (int64_t) f4; + int64_t f2f5_2 = f2_2 * (int64_t) f5; + int64_t f2f6_2 = f2_2 * (int64_t) f6; + int64_t f2f7_2 = f2_2 * (int64_t) f7; + int64_t f2f8_38 = f2_2 * (int64_t) f8_19; + int64_t f2f9_38 = f2 * (int64_t) f9_38; + int64_t f3f3_2 = f3_2 * (int64_t) f3; + int64_t f3f4_2 = f3_2 * (int64_t) f4; + int64_t f3f5_4 = f3_2 * (int64_t) f5_2; + int64_t f3f6_2 = f3_2 * (int64_t) f6; + int64_t f3f7_76 = f3_2 * (int64_t) f7_38; + int64_t f3f8_38 = f3_2 * (int64_t) f8_19; + int64_t f3f9_76 = f3_2 * (int64_t) f9_38; + int64_t f4f4 = f4 * (int64_t) f4; + int64_t f4f5_2 = f4_2 * (int64_t) f5; + int64_t f4f6_38 = f4_2 * (int64_t) f6_19; + int64_t f4f7_38 = f4 * (int64_t) f7_38; + int64_t f4f8_38 = f4_2 * (int64_t) f8_19; + int64_t f4f9_38 = f4 * (int64_t) f9_38; + int64_t f5f5_38 = f5 * (int64_t) f5_38; + int64_t f5f6_38 = f5_2 * (int64_t) f6_19; + int64_t f5f7_76 = f5_2 * (int64_t) f7_38; + int64_t f5f8_38 = f5_2 * (int64_t) f8_19; + int64_t f5f9_76 = f5_2 * (int64_t) f9_38; + int64_t f6f6_19 = f6 * (int64_t) f6_19; + int64_t f6f7_38 = f6 * (int64_t) f7_38; + int64_t f6f8_38 = f6_2 * (int64_t) f8_19; + int64_t f6f9_38 = f6 * (int64_t) f9_38; + int64_t f7f7_38 = f7 * (int64_t) f7_38; + int64_t f7f8_38 = f7_2 * (int64_t) f8_19; + int64_t f7f9_76 = f7_2 * (int64_t) f9_38; + int64_t f8f8_19 = f8 * (int64_t) f8_19; + int64_t f8f9_38 = f8 * (int64_t) f9_38; + int64_t f9f9_38 = f9 * (int64_t) f9_38; + int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + h0 += h0; + h1 += h1; + h2 += h2; + h3 += h3; + h4 += h4; + h5 += h5; + h6 += h6; + h7 += h7; + h8 += h8; + h9 += h9; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* From fe_sub.c */ + +/* +h = f - g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +//x +static void fe_sub(fe h, const fe f, const fe g) { + int32_t f0 = f[0]; + int32_t f1 = f[1]; + int32_t f2 = f[2]; + int32_t f3 = f[3]; + int32_t f4 = f[4]; + int32_t f5 = f[5]; + int32_t f6 = f[6]; + int32_t f7 = f[7]; + int32_t f8 = f[8]; + int32_t f9 = f[9]; + int32_t g0 = g[0]; + int32_t g1 = g[1]; + int32_t g2 = g[2]; + int32_t g3 = g[3]; + int32_t g4 = g[4]; + int32_t g5 = g[5]; + int32_t g6 = g[6]; + int32_t g7 = g[7]; + int32_t g8 = g[8]; + int32_t g9 = g[9]; + int32_t h0 = f0 - g0; + int32_t h1 = f1 - g1; + int32_t h2 = f2 - g2; + int32_t h3 = f3 - g3; + int32_t h4 = f4 - g4; + int32_t h5 = f5 - g5; + int32_t h6 = f6 - g6; + int32_t h7 = f7 - g7; + int32_t h8 = f8 - g8; + int32_t h9 = f9 - g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} + +/* From fe_tobytes.c */ + +/* +Preconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + +Write p=2^255-19; q=floor(h/p). +Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). + +Proof: + Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. + Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. + + Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). + Then 0> 25; + q = (h0 + q) >> 26; + q = (h1 + q) >> 25; + q = (h2 + q) >> 26; + q = (h3 + q) >> 25; + q = (h4 + q) >> 26; + q = (h5 + q) >> 25; + q = (h6 + q) >> 26; + q = (h7 + q) >> 25; + q = (h8 + q) >> 26; + q = (h9 + q) >> 25; + + /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ + h0 += 19 * q; + /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ + + carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26; + carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; + carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; + carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; + carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; + carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; + carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; + carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; + carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; + carry9 = h9 >> 25; h9 -= carry9 << 25; + /* h10 = carry9 */ + + /* + Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. + Have h0+...+2^230 h9 between 0 and 2^255-1; + evidently 2^255 h10-2^255 q = 0. + Goal: Output h0+...+2^230 h9. + */ + + s[0] = h0 >> 0; + s[1] = h0 >> 8; + s[2] = h0 >> 16; + s[3] = (h0 >> 24) | (h1 << 2); + s[4] = h1 >> 6; + s[5] = h1 >> 14; + s[6] = (h1 >> 22) | (h2 << 3); + s[7] = h2 >> 5; + s[8] = h2 >> 13; + s[9] = (h2 >> 21) | (h3 << 5); + s[10] = h3 >> 3; + s[11] = h3 >> 11; + s[12] = (h3 >> 19) | (h4 << 6); + s[13] = h4 >> 2; + s[14] = h4 >> 10; + s[15] = h4 >> 18; + s[16] = h5 >> 0; + s[17] = h5 >> 8; + s[18] = h5 >> 16; + s[19] = (h5 >> 24) | (h6 << 1); + s[20] = h6 >> 7; + s[21] = h6 >> 15; + s[22] = (h6 >> 23) | (h7 << 3); + s[23] = h7 >> 5; + s[24] = h7 >> 13; + s[25] = (h7 >> 21) | (h8 << 4); + s[26] = h8 >> 4; + s[27] = h8 >> 12; + s[28] = (h8 >> 20) | (h9 << 6); + s[29] = h9 >> 2; + s[30] = h9 >> 10; + s[31] = h9 >> 18; +} + +/* From ge_add.c */ + +//x +void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { + fe t0; + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->YplusX); + fe_mul(r->Y, r->Y, q->YminusX); + fe_mul(r->T, q->T2d, p->T); + fe_mul(r->X, p->Z, q->Z); + fe_add(t0, r->X, r->X); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_add(r->Z, t0, r->T); + fe_sub(r->T, t0, r->T); +} + +/* From ge_double_scalarmult.c, modified */ + +static void slide(signed char *r, const unsigned char *a) { + int i; + int b; + int k; + + //this loop just makes a binary string out of a + //e.g. a = {3, 0, 0, ...} then r = 110000.... + for (i = 0; i < 256; ++i) { + r[i] = 1 & (a[i >> 3] >> (i & 7)); + } + + for (i = 0; i < 256; ++i) { + if (r[i]) { + for (b = 1; b <= 6 && i + b < 256; ++b) { + if (r[i + b]) { + if (r[i] + (r[i + b] << b) <= 15) { + r[i] += r[i + b] << b; r[i + b] = 0; + } else if (r[i] - (r[i + b] << b) >= -15) { + r[i] -= r[i + b] << b; + for (k = i + b; k < 256; ++k) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else + break; + } + } + } + } +} + +//double scalar mult precomp +void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s) { + ge_p1p1 t; + ge_p3 s2, u; + ge_p3_to_cached(&r[0], s); + ge_p3_dbl(&t, s); ge_p1p1_to_p3(&s2, &t); + ge_add(&t, &s2, &r[0]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[1], &u); + ge_add(&t, &s2, &r[1]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[2], &u); + ge_add(&t, &s2, &r[2]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[3], &u); + ge_add(&t, &s2, &r[3]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[4], &u); + ge_add(&t, &s2, &r[4]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[5], &u); + ge_add(&t, &s2, &r[5]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[6], &u); + ge_add(&t, &s2, &r[6]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[7], &u); +} + +/* +r = a * A + b * B +where a = a[0]+256*a[1]+...+256^31 a[31]. +and b = b[0]+256*b[1]+...+256^31 b[31]. +B is the Ed25519 base point (x,4/5) with x positive. +*/ + +//this is a really simple alg. actually +void ge_double_scalarmult_base_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b) { + signed char aslide[256]; + signed char bslide[256]; + ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ + ge_p1p1 t; + ge_p3 u; + int i; + + slide(aslide, a); + slide(bslide, b); + ge_dsm_precomp(Ai, A);/* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ + + ge_p2_0(r); + + for (i = 255; i >= 0; --i) { + //so this gets us to the highest i such that both have a nonzero + if (aslide[i] || bslide[i]) break; + } + + for (; i >= 0; --i) { + ge_p2_dbl(&t, r);//simple double and add + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_madd(&t, &u, &ge_Bi[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_msub(&t, &u, &ge_Bi[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r, &t); + } +} + +/* From ge_frombytes.c, modified */ +//this is like xrecover .. +//x +int ge_frombytes_vartime(ge_p3 *h, const unsigned char *s) { + fe u; + fe v; + fe vxx; + fe check; + + /* From fe_frombytes.c */ + + int64_t h0 = load_4(s); + int64_t h1 = load_3(s + 4) << 6; + int64_t h2 = load_3(s + 7) << 5; + int64_t h3 = load_3(s + 10) << 3; + int64_t h4 = load_3(s + 13) << 2; + int64_t h5 = load_4(s + 16); + int64_t h6 = load_3(s + 20) << 7; + int64_t h7 = load_3(s + 23) << 5; + int64_t h8 = load_3(s + 26) << 4; + int64_t h9 = (load_3(s + 29) & 8388607) << 2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + /* Validate the number to be canonical */ + if (h9 == 33554428 && h8 == 268435440 && h7 == 536870880 && h6 == 2147483520 && + h5 == 4294967295 && h4 == 67108860 && h3 == 134217720 && h2 == 536870880 && + h1 == 1073741760 && h0 >= 4294967277) { + return -1; + } + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h->Y[0] = h0; + h->Y[1] = h1; + h->Y[2] = h2; + h->Y[3] = h3; + h->Y[4] = h4; + h->Y[5] = h5; + h->Y[6] = h6; + h->Y[7] = h7; + h->Y[8] = h8; + h->Y[9] = h9; + + /* End fe_frombytes.c */ + + fe_1(h->Z); + fe_sq(u, h->Y); + fe_mul(v, u, fe_d); + fe_sub(u, u, h->Z); /* u = y^2-1 */ + fe_add(v, v, h->Z); /* v = dy^2+1 */ + + fe_divpowm1(h->X, u, v); /* x = uv^3(uv^7)^((q-5)/8) */ + + fe_sq(vxx, h->X); + fe_mul(vxx, vxx, v); + fe_sub(check, vxx, u); /* vx^2-u */ + if (fe_isnonzero(check)) { + fe_add(check, vxx, u); /* vx^2+u */ + if (fe_isnonzero(check)) { + return -1; + } + fe_mul(h->X, h->X, fe_sqrtm1); //this is mapping X to X * sqrt(-1) c.f. 3.1 in hisil, dong, etc. + } + + if (fe_isnegative(h->X) != (s[31] >> 7)) { + /* If x = 0, the sign must be positive */ + if (!fe_isnonzero(h->X)) { + return -1; + } + fe_neg(h->X, h->X); + } + + fe_mul(h->T, h->X, h->Y); + return 0; +} + +/* From ge_madd.c */ + +/* +r = p + q +*/ + +//x +static void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { + fe t0; + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->yplusx); + fe_mul(r->Y, r->Y, q->yminusx); + fe_mul(r->T, q->xy2d, p->T); + fe_add(t0, p->Z, p->Z); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_add(r->Z, t0, r->T); + fe_sub(r->T, t0, r->T); +} + +/* From ge_msub.c */ + +/* +r = p - q +*/ + +//x +static void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { + fe t0; + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->yminusx); + fe_mul(r->Y, r->Y, q->yplusx); + fe_mul(r->T, q->xy2d, p->T); + fe_add(t0, p->Z, p->Z); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_sub(r->Z, t0, r->T); + fe_add(r->T, t0, r->T); +} + +/* From ge_p1p1_to_p2.c */ + +/* +r = p +*/ + +//x +void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p) { + fe_mul(r->X, p->X, p->T); + fe_mul(r->Y, p->Y, p->Z); + fe_mul(r->Z, p->Z, p->T); +} + +/* From ge_p1p1_to_p3.c */ + +/* +r = p +*/ + +//x +void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p) { + fe_mul(r->X, p->X, p->T); + fe_mul(r->Y, p->Y, p->Z); + fe_mul(r->Z, p->Z, p->T); + fe_mul(r->T, p->X, p->Y); +} + +/* From ge_p2_0.c */ + +//x +static void ge_p2_0(ge_p2 *h) { + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); +} + +/* From ge_p2_dbl.c */ + +/* +r = 2 * p +*/ + +//x +void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p) { + fe t0; + fe_sq(r->X, p->X); + fe_sq(r->Z, p->Y); + fe_sq2(r->T, p->Z); + fe_add(r->Y, p->X, p->Y); + fe_sq(t0, r->Y); + fe_add(r->Y, r->Z, r->X); + fe_sub(r->Z, r->Z, r->X); + fe_sub(r->X, t0, r->Y); + fe_sub(r->T, r->T, r->Z); +} + +/* From ge_p3_0.c */ + +//x +static void ge_p3_0(ge_p3 *h) { + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); + fe_0(h->T); +} + +/* From ge_p3_dbl.c */ + +/* +r = 2 * p +*/ + +//x +static void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p) { + ge_p2 q; + ge_p3_to_p2(&q, p); + ge_p2_dbl(r, &q); +} + +/* From ge_p3_to_cached.c */ + +/* +r = p +*/ + +//x +void ge_p3_to_cached(ge_cached *r, const ge_p3 *p) { + fe_add(r->YplusX, p->Y, p->X); + fe_sub(r->YminusX, p->Y, p->X); + fe_copy(r->Z, p->Z); + fe_mul(r->T2d, p->T, fe_d2); +} + +/* From ge_p3_to_p2.c */ + +/* +r = p +*/ + +//x +void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p) { + fe_copy(r->X, p->X); + fe_copy(r->Y, p->Y); + fe_copy(r->Z, p->Z); +} + +/* From ge_p3_tobytes.c */ + +//x +void ge_p3_tobytes(unsigned char *s, const ge_p3 *h) { + fe recip; + fe x; + fe y; + + fe_invert(recip, h->Z); + fe_mul(x, h->X, recip); + fe_mul(y, h->Y, recip); + fe_tobytes(s, y); + s[31] ^= fe_isnegative(x) << 7; +} + +/* From ge_precomp_0.c */ + +//x +static void ge_precomp_0(ge_precomp *h) { + fe_1(h->yplusx); + fe_1(h->yminusx); + fe_0(h->xy2d); +} + +/* From ge_scalarmult_base.c */ + +//x +static unsigned char equal(signed char b, signed char c) { + unsigned char ub = b; + unsigned char uc = c; + unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ + uint32_t y = x; /* 0: yes; 1..255: no */ + y -= 1; /* 4294967295: yes; 0..254: no */ + y >>= 31; /* 1: yes; 0: no */ + return y; +} + +static unsigned char negative(signed char b) { + unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ + x >>= 63; /* 1: yes; 0: no */ + return x; +} + +static void ge_precomp_cmov(ge_precomp *t, const ge_precomp *u, unsigned char b) { + fe_cmov(t->yplusx, u->yplusx, b); + fe_cmov(t->yminusx, u->yminusx, b); + fe_cmov(t->xy2d, u->xy2d, b); +} + +static void select(ge_precomp *t, int pos, signed char b) { + ge_precomp minust; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 1); + + ge_precomp_0(t); + ge_precomp_cmov(t, &ge_base[pos][0], equal(babs, 1)); + ge_precomp_cmov(t, &ge_base[pos][1], equal(babs, 2)); + ge_precomp_cmov(t, &ge_base[pos][2], equal(babs, 3)); + ge_precomp_cmov(t, &ge_base[pos][3], equal(babs, 4)); + ge_precomp_cmov(t, &ge_base[pos][4], equal(babs, 5)); + ge_precomp_cmov(t, &ge_base[pos][5], equal(babs, 6)); + ge_precomp_cmov(t, &ge_base[pos][6], equal(babs, 7)); + ge_precomp_cmov(t, &ge_base[pos][7], equal(babs, 8)); + fe_copy(minust.yplusx, t->yminusx); + fe_copy(minust.yminusx, t->yplusx); + fe_neg(minust.xy2d, t->xy2d); + ge_precomp_cmov(t, &minust, bnegative); +} + +/* +h = a * B +where a = a[0]+256*a[1]+...+256^31 a[31] +B is the Ed25519 base point (x,4/5) with x positive. + +Preconditions: + a[31] <= 127 +*/ + +void ge_scalarmult_base(ge_p3 *h, const unsigned char *a) { + signed char e[64]; + signed char carry; + ge_p1p1 r; + ge_p2 s; + ge_precomp t; + int i; + + for (i = 0; i < 32; ++i) { + e[2 * i + 0] = (a[i] >> 0) & 15; + e[2 * i + 1] = (a[i] >> 4) & 15; + } + /* each e[i] is between 0 and 15 */ + /* e[63] is between 0 and 7 */ + + carry = 0; + for (i = 0; i < 63; ++i) { + e[i] += carry; + carry = e[i] + 8; + carry >>= 4; + e[i] -= carry << 4; + } + e[63] += carry; + /* each e[i] is between -8 and 8 */ + + ge_p3_0(h); + //note, these are indexing from 1, 3, 5, etc. + for (i = 1; i < 64; i += 2) { + select(&t, i / 2, e[i]); //here's where you grab multiples of the basepoint .. + //so must be doing e P = (e[0] (2^4)^0 P + e[1] (2^4)^1 P + e[2] (2^4)^2 P + ...) + //except, probably writing in big-endian to make more sense.. + //and the e[i] P are going to be pre-computed... + //so have to wonder if by precomputing more, if can save time?? + ge_madd(&r, h, &t); ge_p1p1_to_p3(h, &r); + } + + ge_p3_dbl(&r, h); ge_p1p1_to_p2(&s, &r); + ge_p2_dbl(&r, &s); ge_p1p1_to_p2(&s, &r); + ge_p2_dbl(&r, &s); ge_p1p1_to_p2(&s, &r); + ge_p2_dbl(&r, &s); ge_p1p1_to_p3(h, &r); + + //note, these are indexing from 0, 2, 4, etc. + for (i = 0; i < 64; i += 2) { + select(&t, i / 2, e[i]); + ge_madd(&r, h, &t); ge_p1p1_to_p3(h, &r); + } +} + +/* From ge_sub.c */ + +/* +r = p - q +*/ + +//x +static void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { + fe t0; + fe_add(r->X, p->Y, p->X); + fe_sub(r->Y, p->Y, p->X); + fe_mul(r->Z, r->X, q->YminusX); + fe_mul(r->Y, r->Y, q->YplusX); + fe_mul(r->T, q->T2d, p->T); + fe_mul(r->X, p->Z, q->Z); + fe_add(t0, r->X, r->X); + fe_sub(r->X, r->Z, r->Y); + fe_add(r->Y, r->Z, r->Y); + fe_sub(r->Z, t0, r->T); + fe_add(r->T, t0, r->T); +} + +/* From ge_tobytes.c */ + +//x +void ge_tobytes(unsigned char *s, const ge_p2 *h) { + fe recip; + fe x; + fe y; + + fe_invert(recip, h->Z); + fe_mul(x, h->X, recip); + fe_mul(y, h->Y, recip); + fe_tobytes(s, y); + s[31] ^= fe_isnegative(x) << 7; +} + +/* From sc_reduce.c */ + +/* +Input: + s[0]+256*s[1]+...+256^63*s[63] = s + +Output: + s[0]+256*s[1]+...+256^31*s[31] = s mod l + where l = 2^252 + 27742317777372353535851937790883648493. + Overwrites s in place. +*/ + +//x +void sc_reduce(unsigned char *s) { + //the point is to load in 21 bits at a time.. + //Mininero should give you the ints 2097151, the shifts below, and either load 3 or 4 + int64_t s0 = 2097151 & load_3(s); //2097151 is 21 1's in binary, so there are possible 5 bits left over.. + int64_t s1 = 2097151 & (load_4(s + 2) >> 5); //now you start at 2^16, so you have to move right 5 bits to 2^21.., the 2 comes from the fact that you loaded 3 last time.. + int64_t s2 = 2097151 & (load_3(s + 5) >> 2); //in last one you had bits 22 ->42, you are starting at (2^8)^5 = 2^40, so need to move right 2 bits... + int64_t s3 = 2097151 & (load_4(s + 7) >> 7); //etc... + int64_t s4 = 2097151 & (load_4(s + 10) >> 4); //ahh, these are "int 64;s" + int64_t s5 = 2097151 & (load_3(s + 13) >> 1); //not uint 64s + int64_t s6 = 2097151 & (load_4(s + 15) >> 6); + int64_t s7 = 2097151 & (load_3(s + 18) >> 3); + int64_t s8 = 2097151 & load_3(s + 21); + int64_t s9 = 2097151 & (load_4(s + 23) >> 5); + int64_t s10 = 2097151 & (load_3(s + 26) >> 2); + int64_t s11 = 2097151 & (load_4(s + 28) >> 7); + int64_t s12 = 2097151 & (load_4(s + 31) >> 4); + int64_t s13 = 2097151 & (load_3(s + 34) >> 1); + int64_t s14 = 2097151 & (load_4(s + 36) >> 6); + int64_t s15 = 2097151 & (load_3(s + 39) >> 3); + int64_t s16 = 2097151 & load_3(s + 42); + int64_t s17 = 2097151 & (load_4(s + 44) >> 5); + int64_t s18 = 2097151 & (load_3(s + 47) >> 2); + int64_t s19 = 2097151 & (load_4(s + 49) >> 7); + int64_t s20 = 2097151 & (load_4(s + 52) >> 4); + int64_t s21 = 2097151 & (load_3(s + 55) >> 1); + int64_t s22 = 2097151 & (load_4(s + 57) >> 6); + int64_t s23 = (load_4(s + 60) >> 3); //note no &2097151 here .. + //so rather than doing 24 = 512 + //we've done 23 = 504 + //so curve size rather than + //size of s + //this should be handled + //at the end with those + //two extra reductions + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + int64_t carry12; + int64_t carry13; + int64_t carry14; + int64_t carry15; + int64_t carry16; + //17 carries because 11, 12, ... 16 = #digits in l + + //reduce first 105 bits.. to go from 504 to 399 + //Note that 683901 * 2^(5*21) - 136657 * 2^(4 * 21) + ... - 66643 = 27742317777372353535851937790883648493, which is c in the curve order.. + s11 += s23 * 666643; // =1430509 - 2 ^ 21 //note there is a 12 step difference, 12^21 = 252 + //so you subtract q 12^21 and then add c at each step.. + //just have to be careful of the carries .. + //If you are using unsigned int's, you had better carry at each step + //so the first step is to factorize 252 and whatever radix + //must be in those factors.. + s12 += s23 * 470296; // = 1626855 - 2^21 - 1 + s13 += s23 * 654183; // = 1442968 - 2 ^ 21 - 1? + s14 -= s23 * 997805; //note the negative ones are same as result from toDigits + s15 += s23 * 136657; // 1960495 - 2 ** 21 + s16 -= s23 * 683901; //note negative ones are same + + s10 += s22 * 666643; //22 - 10 = 12, 12 * 21 = 252 + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + + s9 += s21 * 666643; //21 - 9 = 12 + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + //so we repeat this until we get down to s11 + //note that 11 * 21 = 231 + + //1st carry... + //note span = 6 here + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;//take parts that are more than 21 bits in new s6 and add to s7.. + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + //span = 5 here + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + //reduce 105 bits to go from 399 to 294 + s5 += s17 * 666643; //17 - 5 = 12 = 252/21 + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + + s0 += s12 * 666643; //12 - 0 = 12.. + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + //2nd carry + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + //reduce another 21 bits... go from 294 to 273 + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + //3rd carry + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + //reduce last 21 bits to go from 273 to get to 2^252.. + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + //carry + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + //go from 2^[256/12]'s to 2^[256/32]'s + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); // | since there is no overlap + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +/* New code */ +/* (u / v)^(m + 1) */ +static void fe_divpowm1(fe r, const fe u, const fe v) { + fe v3, uv7, t0, t1, t2; + int i; + + fe_sq(v3, v); + fe_mul(v3, v3, v); /* v3 = v^3 */ + fe_sq(uv7, v3); + fe_mul(uv7, uv7, v); + fe_mul(uv7, uv7, u); /* uv7 = uv^7 */ + + /*fe_pow22523(uv7, uv7);*/ + + /* From fe_pow22523.c */ + + fe_sq(t0, uv7); + fe_sq(t1, t0); + fe_sq(t1, t1); + fe_mul(t1, uv7, t1); + fe_mul(t0, t0, t1); + fe_sq(t0, t0); + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 4; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 9; ++i) { + fe_sq(t1, t1); + } + fe_mul(t1, t1, t0); + fe_sq(t2, t1); + for (i = 0; i < 19; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + for (i = 0; i < 10; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 49; ++i) { + fe_sq(t1, t1); + } + fe_mul(t1, t1, t0); + fe_sq(t2, t1); + for (i = 0; i < 99; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + for (i = 0; i < 50; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t0, t0); + fe_sq(t0, t0); + fe_mul(t0, t0, uv7); + + /* End fe_pow22523.c */ + /* t0 = (uv^7)^((q-5)/8) */ + fe_mul(t0, t0, v3); + fe_mul(r, t0, u); /* u^(m+1)v^(-(m+1)) */ +} + +static void ge_cached_0(ge_cached *r) { + fe_1(r->YplusX); + fe_1(r->YminusX); + fe_1(r->Z); + fe_0(r->T2d); +} + +static void ge_cached_cmov(ge_cached *t, const ge_cached *u, unsigned char b) { + fe_cmov(t->YplusX, u->YplusX, b); + fe_cmov(t->YminusX, u->YminusX, b); + fe_cmov(t->Z, u->Z, b); + fe_cmov(t->T2d, u->T2d, b); +} + +/* Assumes that a[31] <= 127 */ +void ge_scalarmult(ge_p2 *r, const unsigned char *a, const ge_p3 *A) { + signed char e[64]; + int carry, carry2, i; + ge_cached Ai[8]; /* 1 * A, 2 * A, ..., 8 * A */ + ge_p1p1 t; + ge_p3 u; + + carry = 0; /* 0..1 */ + for (i = 0; i < 31; i++) { + carry += a[i]; /* 0..256 */ + carry2 = (carry + 8) >> 4; /* 0..16 */ + e[2 * i] = carry - (carry2 << 4); /* -8..7 */ + carry = (carry2 + 8) >> 4; /* 0..1 */ + e[2 * i + 1] = carry2 - (carry << 4); /* -8..7 */ + } + carry += a[31]; /* 0..128 */ + carry2 = (carry + 8) >> 4; /* 0..8 */ + e[62] = carry - (carry2 << 4); /* -8..7 */ + e[63] = carry2; /* 0..8 */ + + ge_p3_to_cached(&Ai[0], A); + for (i = 0; i < 7; i++) { + ge_add(&t, A, &Ai[i]); + ge_p1p1_to_p3(&u, &t); + ge_p3_to_cached(&Ai[i + 1], &u); + } + + ge_p2_0(r); + for (i = 63; i >= 0; i--) { + signed char b = e[i]; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 1); + ge_cached cur, minuscur; + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p3(&u, &t); + ge_cached_0(&cur); + ge_cached_cmov(&cur, &Ai[0], equal(babs, 1)); + ge_cached_cmov(&cur, &Ai[1], equal(babs, 2)); + ge_cached_cmov(&cur, &Ai[2], equal(babs, 3)); + ge_cached_cmov(&cur, &Ai[3], equal(babs, 4)); + ge_cached_cmov(&cur, &Ai[4], equal(babs, 5)); + ge_cached_cmov(&cur, &Ai[5], equal(babs, 6)); + ge_cached_cmov(&cur, &Ai[6], equal(babs, 7)); + ge_cached_cmov(&cur, &Ai[7], equal(babs, 8)); + fe_copy(minuscur.YplusX, cur.YminusX); + fe_copy(minuscur.YminusX, cur.YplusX); + fe_copy(minuscur.Z, cur.Z); + fe_neg(minuscur.T2d, cur.T2d); + ge_cached_cmov(&cur, &minuscur, bnegative); + ge_add(&t, &u, &cur); + ge_p1p1_to_p2(r, &t); + } +} + +//assume Bi has precomputed multiples +void ge_double_scalarmult_precomp_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b, const ge_dsmp Bi) { + signed char aslide[256]; + signed char bslide[256]; + ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ //precomps + ge_p1p1 t; + ge_p3 u; + int i; + + slide(aslide, a); + slide(bslide, b); + ge_dsm_precomp(Ai, A); + + ge_p2_0(r); + + for (i = 255; i >= 0; --i) { + if (aslide[i] || bslide[i]) break; + } + + for (; i >= 0; --i) { + ge_p2_dbl(&t, r); + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Bi[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Bi[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r, &t); + } +} + +//x +void ge_mul8(ge_p1p1 *r, const ge_p2 *t) { + ge_p2 u; + ge_p2_dbl(r, t); + ge_p1p1_to_p2(&u, r); + ge_p2_dbl(r, &u); + ge_p1p1_to_p2(&u, r); + ge_p2_dbl(r, &u); +} + +//x +void ge_fromfe_frombytes_vartime(ge_p2 *r, const unsigned char *s) { + fe u, v, w, x, y, z; + unsigned char sign; + + /* From fe_frombytes.c */ + + int64_t h0 = load_4(s); + int64_t h1 = load_3(s + 4) << 6; + int64_t h2 = load_3(s + 7) << 5; + int64_t h3 = load_3(s + 10) << 3; + int64_t h4 = load_3(s + 13) << 2; + int64_t h5 = load_4(s + 16); + int64_t h6 = load_3(s + 20) << 7; + int64_t h7 = load_3(s + 23) << 5; + int64_t h8 = load_3(s + 26) << 4; + int64_t h9 = load_3(s + 29) << 2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + u[0] = h0; + u[1] = h1; + u[2] = h2; + u[3] = h3; + u[4] = h4; + u[5] = h5; + u[6] = h6; + u[7] = h7; + u[8] = h8; + u[9] = h9; + + /* End fe_frombytes.c */ + + fe_sq2(v, u); /* 2 * u^2 */ + fe_1(w); + fe_add(w, v, w); /* w = 2 * u^2 + 1 */ + fe_sq(x, w); /* w^2 */ + fe_mul(y, fe_ma2, v); /* -2 * A^2 * u^2 */ + fe_add(x, x, y); /* x = w^2 - 2 * A^2 * u^2 */ + fe_divpowm1(r->X, w, x); /* (w / x)^(m + 1) */ + fe_sq(y, r->X); + fe_mul(x, y, x); + fe_sub(y, w, x); + fe_copy(z, fe_ma); + if (fe_isnonzero(y)) { + fe_add(y, w, x); + if (fe_isnonzero(y)) { + goto negative; + } else { + fe_mul(r->X, r->X, fe_fffb1); + } + } else { + fe_mul(r->X, r->X, fe_fffb2); + } + fe_mul(r->X, r->X, u); /* u * sqrt(2 * A * (A + 2) * w / x) */ + fe_mul(z, z, v); /* -2 * A * u^2 */ + sign = 0; + goto setsign; +negative: + fe_mul(x, x, fe_sqrtm1); + fe_sub(y, w, x); + if (fe_isnonzero(y)) { + assert((fe_add(y, w, x), !fe_isnonzero(y))); + fe_mul(r->X, r->X, fe_fffb3); + } else { + fe_mul(r->X, r->X, fe_fffb4); + } + /* r->X = sqrt(A * (A + 2) * w / x) */ + /* z = -A */ + sign = 1; +setsign: + if (fe_isnegative(r->X) != sign) { + assert(fe_isnonzero(r->X)); + fe_neg(r->X, r->X); + } + fe_add(r->Z, z, w); + fe_sub(r->Y, z, w); + fe_mul(r->X, r->X, r->Z); +#if !defined(NDEBUG) + { + fe check_x, check_y, check_iz, check_v; + fe_invert(check_iz, r->Z); + fe_mul(check_x, r->X, check_iz); + fe_mul(check_y, r->Y, check_iz); + fe_sq(check_x, check_x); + fe_sq(check_y, check_y); + fe_mul(check_v, check_x, check_y); + fe_mul(check_v, fe_d, check_v); + fe_add(check_v, check_v, check_x); + fe_sub(check_v, check_v, check_y); + fe_1(check_x); + fe_add(check_v, check_v, check_x); + assert(!fe_isnonzero(check_v)); + } +#endif +} + +//x +void sc_0(unsigned char *s) { + int i; + for (i = 0; i < 32; i++) { + s[i] = 0; + } +} + +//x +void sc_reduce32(unsigned char *s) { + int64_t s0 = 2097151 & load_3(s); + int64_t s1 = 2097151 & (load_4(s + 2) >> 5); + int64_t s2 = 2097151 & (load_3(s + 5) >> 2); + int64_t s3 = 2097151 & (load_4(s + 7) >> 7); + int64_t s4 = 2097151 & (load_4(s + 10) >> 4); + int64_t s5 = 2097151 & (load_3(s + 13) >> 1); + int64_t s6 = 2097151 & (load_4(s + 15) >> 6); + int64_t s7 = 2097151 & (load_3(s + 18) >> 3); + int64_t s8 = 2097151 & load_3(s + 21); + int64_t s9 = 2097151 & (load_4(s + 23) >> 5); + int64_t s10 = 2097151 & (load_3(s + 26) >> 2); + int64_t s11 = (load_4(s + 28) >> 7); + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +//x +void sc_add(unsigned char *s, const unsigned char *a, const unsigned char *b) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t s0 = a0 + b0; + int64_t s1 = a1 + b1; + int64_t s2 = a2 + b2; + int64_t s3 = a3 + b3; + int64_t s4 = a4 + b4; + int64_t s5 = a5 + b5; + int64_t s6 = a6 + b6; + int64_t s7 = a7 + b7; + int64_t s8 = a8 + b8; + int64_t s9 = a9 + b9; + int64_t s10 = a10 + b10; + int64_t s11 = a11 + b11; + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +//x +void sc_sub(unsigned char *s, const unsigned char *a, const unsigned char *b) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t s0 = a0 - b0; + int64_t s1 = a1 - b1; + int64_t s2 = a2 - b2; + int64_t s3 = a3 - b3; + int64_t s4 = a4 - b4; + int64_t s5 = a5 - b5; + int64_t s6 = a6 - b6; + int64_t s7 = a7 - b7; + int64_t s8 = a8 - b8; + int64_t s9 = a9 - b9; + int64_t s10 = a10 - b10; + int64_t s11 = a11 - b11; + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +/* +Input: + a[0]+256*a[1]+...+256^31*a[31] = a + b[0]+256*b[1]+...+256^31*b[31] = b + c[0]+256*c[1]+...+256^31*c[31] = c + +Output: + s[0]+256*s[1]+...+256^31*s[31] = (c-ab) mod l + where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +//x +void sc_mulsub(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t c0 = 2097151 & load_3(c); + int64_t c1 = 2097151 & (load_4(c + 2) >> 5); + int64_t c2 = 2097151 & (load_3(c + 5) >> 2); + int64_t c3 = 2097151 & (load_4(c + 7) >> 7); + int64_t c4 = 2097151 & (load_4(c + 10) >> 4); + int64_t c5 = 2097151 & (load_3(c + 13) >> 1); + int64_t c6 = 2097151 & (load_4(c + 15) >> 6); + int64_t c7 = 2097151 & (load_3(c + 18) >> 3); + int64_t c8 = 2097151 & load_3(c + 21); + int64_t c9 = 2097151 & (load_4(c + 23) >> 5); + int64_t c10 = 2097151 & (load_3(c + 26) >> 2); + int64_t c11 = (load_4(c + 28) >> 7); + int64_t s0; + int64_t s1; + int64_t s2; + int64_t s3; + int64_t s4; + int64_t s5; + int64_t s6; + int64_t s7; + int64_t s8; + int64_t s9; + int64_t s10; + int64_t s11; + int64_t s12; + int64_t s13; + int64_t s14; + int64_t s15; + int64_t s16; + int64_t s17; + int64_t s18; + int64_t s19; + int64_t s20; + int64_t s21; + int64_t s22; + int64_t s23; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + int64_t carry12; + int64_t carry13; + int64_t carry14; + int64_t carry15; + int64_t carry16; + int64_t carry17; + int64_t carry18; + int64_t carry19; + int64_t carry20; + int64_t carry21; + int64_t carry22; + + s0 = c0 - a0*b0; + s1 = c1 - (a0*b1 + a1*b0); + s2 = c2 - (a0*b2 + a1*b1 + a2*b0); + s3 = c3 - (a0*b3 + a1*b2 + a2*b1 + a3*b0); + s4 = c4 - (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0); + s5 = c5 - (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0); + s6 = c6 - (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0); + s7 = c7 - (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0); + s8 = c8 - (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0); + s9 = c9 - (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0); + s10 = c10 - (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0); + s11 = c11 - (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0); + s12 = -(a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1); + s13 = -(a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2); + s14 = -(a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3); + s15 = -(a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4); + s16 = -(a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5); + s17 = -(a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6); + s18 = -(a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7); + s19 = -(a8*b11 + a9*b10 + a10*b9 + a11*b8); + s20 = -(a9*b11 + a10*b10 + a11*b9); + s21 = -(a10*b11 + a11*b10); + s22 = -a11*b11; + s23 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; + carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; + carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; + carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; + carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +/* Assumes that a != INT64_MIN */ +//x c.f. lt in 32 bit ref +static int64_t signum(int64_t a) { + return (a >> 63) - ((-a) >> 63); +} + +//x +int sc_check(const unsigned char *s) { + int64_t s0 = load_4(s); + int64_t s1 = load_4(s + 4); + int64_t s2 = load_4(s + 8); + int64_t s3 = load_4(s + 12); + int64_t s4 = load_4(s + 16); + int64_t s5 = load_4(s + 20); + int64_t s6 = load_4(s + 24); + int64_t s7 = load_4(s + 28); + return (signum(1559614444 - s0) + (signum(1477600026 - s1) << 1) + (signum(2734136534 - s2) << 2) + (signum(350157278 - s3) << 3) + (signum(-s4) << 4) + (signum(-s5) << 5) + (signum(-s6) << 6) + (signum(268435456 - s7) << 7)) >> 8; +} + +//x +int sc_isnonzero(const unsigned char *s) { + return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | + s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | + s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | + s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; +} diff --git a/src/crypto/crypto_ops_builder/crypto-ops.h b/src/crypto/crypto_ops_builder/crypto-ops.h new file mode 100644 index 000000000..6e1eb19a1 --- /dev/null +++ b/src/crypto/crypto_ops_builder/crypto-ops.h @@ -0,0 +1,148 @@ +// Copyright (c) 2014-2015, The Monero Project +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers +#include + +#pragma once + + +/* From fe.h */ + +//this guy may throw errors in windows +typedef int32_t fe[10]; + +/* From ge.h */ + +typedef struct { + fe X; + fe Y; + fe Z; +} ge_p2; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p3; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p1p1; + +typedef struct { + fe yplusx; + fe yminusx; + fe xy2d; +} ge_precomp; + +typedef struct { + fe YplusX; + fe YminusX; + fe Z; + fe T2d; +} ge_cached; + +/* From ge_add.c */ + +void ge_add(ge_p1p1 *, const ge_p3 *, const ge_cached *); + +/* From ge_double_scalarmult.c, modified */ + +typedef ge_cached ge_dsmp[8]; +extern const ge_precomp ge_Bi[8]; +void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s); +void ge_double_scalarmult_base_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *); + +/* From ge_frombytes.c, modified */ + +extern const fe fe_sqrtm1; +extern const fe fe_d; +int ge_frombytes_vartime(ge_p3 *, const unsigned char *); + +/* From ge_p1p1_to_p2.c */ + +void ge_p1p1_to_p2(ge_p2 *, const ge_p1p1 *); + +/* From ge_p1p1_to_p3.c */ + +void ge_p1p1_to_p3(ge_p3 *, const ge_p1p1 *); + +/* From ge_p2_dbl.c */ + +void ge_p2_dbl(ge_p1p1 *, const ge_p2 *); + +/* From ge_p3_to_cached.c */ + +extern const fe fe_d2; +void ge_p3_to_cached(ge_cached *, const ge_p3 *); + +/* From ge_p3_to_p2.c */ + +void ge_p3_to_p2(ge_p2 *, const ge_p3 *); + +/* From ge_p3_tobytes.c */ + +void ge_p3_tobytes(unsigned char *, const ge_p3 *); + +/* From ge_scalarmult_base.c */ + +extern const ge_precomp ge_base[32][8]; +void ge_scalarmult_base(ge_p3 *, const unsigned char *); + +/* From ge_tobytes.c */ + +void ge_tobytes(unsigned char *, const ge_p2 *); + +/* From sc_reduce.c */ + +void sc_reduce(unsigned char *); + +/* New code */ + +void ge_scalarmult(ge_p2 *, const unsigned char *, const ge_p3 *); +void ge_double_scalarmult_precomp_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *, const ge_dsmp); +void ge_mul8(ge_p1p1 *, const ge_p2 *); +extern const fe fe_ma2; +extern const fe fe_ma; +extern const fe fe_fffb1; +extern const fe fe_fffb2; +extern const fe fe_fffb3; +extern const fe fe_fffb4; +void ge_fromfe_frombytes_vartime(ge_p2 *, const unsigned char *); +void sc_0(unsigned char *); +void sc_reduce32(unsigned char *); +void sc_add(unsigned char *, const unsigned char *, const unsigned char *); +void sc_sub(unsigned char *, const unsigned char *, const unsigned char *); +void sc_mulsub(unsigned char *, const unsigned char *, const unsigned char *, const unsigned char *); +int sc_check(const unsigned char *); +int sc_isnonzero(const unsigned char *); /* Doesn't normalize */ diff --git a/src/crypto/crypto_ops_builder/crypto_int32.h b/src/crypto/crypto_ops_builder/crypto_int32.h new file mode 100755 index 000000000..cae135e6e --- /dev/null +++ b/src/crypto/crypto_ops_builder/crypto_int32.h @@ -0,0 +1,6 @@ +#ifndef crypto_int32_h +#define crypto_int32_h + +typedef int crypto_int32; + +#endif diff --git a/src/crypto/crypto_ops_builder/crypto_sign.h b/src/crypto/crypto_ops_builder/crypto_sign.h new file mode 100755 index 000000000..afed20821 --- /dev/null +++ b/src/crypto/crypto_ops_builder/crypto_sign.h @@ -0,0 +1,13 @@ +#ifndef crypto_sign_edwards25519sha512batch_H +#define crypto_sign_edwards25519sha512batch_H + +#define SECRETKEYBYTES 64 +#define PUBLICKEYBYTES 32 +#define SIGNATUREBYTES 64 + +extern int crypto_sign(unsigned char *,unsigned long long *,const unsigned char *,unsigned long long,const unsigned char *); +extern int crypto_sign_open(unsigned char *,unsigned long long *,const unsigned char *,unsigned long long,const unsigned char *); +extern int crypto_sign_keypair(unsigned char *,unsigned char *); +extern int crypto_sign_publickey(unsigned char *pk, unsigned char *sk, unsigned char *seed); + +#endif diff --git a/src/crypto/crypto_ops_builder/crypto_uint32.h b/src/crypto/crypto_ops_builder/crypto_uint32.h new file mode 100755 index 000000000..21020d7b5 --- /dev/null +++ b/src/crypto/crypto_ops_builder/crypto_uint32.h @@ -0,0 +1,6 @@ +#ifndef crypto_uint32_h +#define crypto_uint32_h + +typedef unsigned int crypto_uint32; + +#endif diff --git a/src/crypto/crypto_ops_builder/crypto_verify_32.h b/src/crypto/crypto_ops_builder/crypto_verify_32.h new file mode 100755 index 000000000..ad265c7a3 --- /dev/null +++ b/src/crypto/crypto_ops_builder/crypto_verify_32.h @@ -0,0 +1,7 @@ +#ifndef crypto_verify_32_H +#define crypto_verify_32_H + +#define crypto_verify_32_ref_BYTES 32 +extern int crypto_verify_32(const unsigned char *,const unsigned char *); + +#endif diff --git a/src/crypto/crypto_ops_builder/ietf.txt b/src/crypto/crypto_ops_builder/ietf.txt new file mode 100644 index 000000000..0736f71ec --- /dev/null +++ b/src/crypto/crypto_ops_builder/ietf.txt @@ -0,0 +1,1402 @@ + + +[Docs] [txt|pdf] [Tracker] [Email] [Diff1] [Diff2] [Nits] + +Versions: 00 01 02 + +Network Working Group S. Josefsson +Internet-Draft SJD AB +Intended status: Informational N. Moeller +Expires: August 26, 2015 + February 22, 2015 + + + EdDSA and Ed25519 + + draft-josefsson-eddsa-ed25519-02 + + +Abstract + + The elliptic curve signature scheme EdDSA and one instance of it + called Ed25519 is described. An example implementation and test + vectors are provided. + +Status of This Memo + + This Internet-Draft is submitted in full conformance with the + provisions of BCP 78 and BCP 79. + + Internet-Drafts are working documents of the Internet Engineering + Task Force (IETF). Note that other groups may also distribute + working documents as Internet-Drafts. The list of current Internet- + Drafts is at http://datatracker.ietf.org/drafts/current/. + + Internet-Drafts are draft documents valid for a maximum of six months + and may be updated, replaced, or obsoleted by other documents at any + time. It is inappropriate to use Internet-Drafts as reference + material or to cite them other than as "work in progress." + + This Internet-Draft will expire on August 26, 2015. + +Copyright Notice + + Copyright (c) 2015 IETF Trust and the persons identified as the + document authors. All rights reserved. + + This document is subject to BCP 78 and the IETF Trust's Legal + Provisions Relating to IETF Documents + (http://trustee.ietf.org/license-info) in effect on the date of + publication of this document. Please review these documents + carefully, as they describe your rights and restrictions with respect + to this document. Code Components extracted from this document must + include Simplified BSD License text as described in Section 4.e of + the Trust Legal Provisions and are provided without warranty as + described in the Simplified BSD License. + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 1] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + +Table of Contents + + 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2 + 2. Notation . . . . . . . . . . . . . . . . . . . . . . . . . . 3 + 3. Background . . . . . . . . . . . . . . . . . . . . . . . . . 3 + 4. EdDSA . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 + 4.1. Encoding . . . . . . . . . . . . . . . . . . . . . . . . 4 + 4.2. Keys . . . . . . . . . . . . . . . . . . . . . . . . . . 5 + 4.3. Sign . . . . . . . . . . . . . . . . . . . . . . . . . . 5 + 4.4. Verify . . . . . . . . . . . . . . . . . . . . . . . . . 5 + 5. Ed25519 . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 + 5.1. Modular arithmetic . . . . . . . . . . . . . . . . . . . 6 + 5.2. Encoding . . . . . . . . . . . . . . . . . . . . . . . . 6 + 5.3. Decoding . . . . . . . . . . . . . . . . . . . . . . . . 6 + 5.4. Point addition . . . . . . . . . . . . . . . . . . . . . 7 + 5.5. Key Generation . . . . . . . . . . . . . . . . . . . . . 8 + 5.6. Sign . . . . . . . . . . . . . . . . . . . . . . . . . . 8 + 5.7. Verify . . . . . . . . . . . . . . . . . . . . . . . . . 9 + 5.8. Python illustration . . . . . . . . . . . . . . . . . . . 9 + 6. Test Vectors for Ed25519 . . . . . . . . . . . . . . . . . . 14 + 7. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . 17 + 8. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 18 + 9. Security Considerations . . . . . . . . . . . . . . . . . . . 18 + 9.1. Side-channel leaks . . . . . . . . . . . . . . . . . . . 18 + 10. References . . . . . . . . . . . . . . . . . . . . . . . . . 18 + 10.1. Normative References . . . . . . . . . . . . . . . . . . 18 + 10.2. Informative References . . . . . . . . . . . . . . . . . 18 + Appendix A. Ed25519 Python Library . . . . . . . . . . . . . . . 19 + Appendix B. Library driver . . . . . . . . . . . . . . . . . . . 23 + Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 24 + +1. Introduction + + + The Edwards-curve Digital Signature Algorithm (EdDSA) is a variant of + Schnorr's signature system with Twisted Edwards curves. EdDSA needs + to be instantiated with certain parameters and this document describe + Ed25519 - an instantiation of EdDSA in a curve over GF(2^255-19). To + facilitate adoption in the Internet community of Ed25519, this + document describe the signature scheme in an implementation-oriented + way, and we provide sample code and test vectors. + + The advantages with EdDSA and Ed25519 include: + + 1. High-performance on a variety of platforms. + + 2. Does not require the use of a unique random number for each + signature. + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 2] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + 3. More resilient to side-channel attacks. + + 4. Small public keys (32 bytes) and signatures (64 bytes). + + 5. The formulas are "strongly unified", i.e., they are valid for all + points on the curve, with no exceptions. This obviates the need + for EdDSA to perform expensive point validation on untrusted + public values. + + 6. Collision resilience, meaning that hash-function collisions do + not break this system. + + For further background, see the original EdDSA paper [EDDSA]. + +2. Notation + + + The following notation is used throughout the document: + + GF(p) finite field with p elements + + x^y x multiplied by itself y times + + B generator of the group or subgroup of interest + + n B B added to itself n times. + + h_i the i'th bit of h + + a || b (bit-)string a concatenated with (bit-)string b + +3. Background + + + EdDSA is defined using an elliptic curve over GF(p) of the form + + -x^2 + y^2 = 1 + d x^2 y^2 + + In general, p could be a prime power, but it is usually chosen as a + prime number. It is required that p = 1 modulo 4 (which implies that + -1 is a square modulo p) and that d is a non-square modulo p. For + Ed25519, the curve used is equivalent to Curve25519 [CURVE25519], + under a change of coordinates, which means that the difficulty of the + discrete logarithm problem is the same as for Curve25519. + + Points on this curve form a group under addition, (x3, y3) = (x1, y1) + + (x2, y2), with the formulas + + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 3] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + x1 y2 + x2 y1 y1 y2 + x1 x2 + x3 = -------------------, y3 = ------------------- + 1 + d x1 x2 y1 y2 1 - d x1 x2 y1 y2 + + The neutral element in the group is (0, 1). + + Unlike manyy other curves used for cryptographic applications, these + formulas are "strongly unified": they are valid for all points on the + curve, with no exceptions. In particular, the denominators are non- + zero for all input points. + + There are more efficient formulas, which are still strongly unified, + which use homogeneous coordinates to avoid the expensive modulo p + inversions. See [Faster-ECC] and [Edwards-revisited]. + +4. EdDSA + + + EdDSA is a digital signature system with several parameters. The + generic EdDSA digital signature system is normally not implemented + directly, but instead a particular instance of EdDSA (like Ed25519) + is implemented. A precise explanation of the generic EdDSA is thus + not particulary useful for implementers, but for background and + completeness, a succint description of the generic EdDSA algorithm is + given here. + + EdDSA has seven parameters: + + 1. an integer b >= 10. + + 2. a cryptographic hash function H producing 2b-bit outputs. + + 3. a prime power p congruent to 1 modulo 4. + + 4. a (b-1)-bit encoding of elements of the finite field GF(p). + + 5. a non-square element d of GF(p) + + 6. an element B != (0,1) of the set E = { (x,y) is a member of GF(p) + x GF(p) such that -x^2 + y^2 = 1 + dx^2y^2 }. + + 7. a prime q, of size b-3 bits, such that qB = (0, 1), i.e., q is + the order of B or a multiple thereof. + +4.1. Encoding + + + An element (x,y) of E is encoded as a b-bit string called ENC(x,y) + which is the (b-1)-bit encoding of y concatenated with one bit that + is 1 if x is negative and 0 if x is not negative. Negative elements + + + +Josefsson & Moeller Expires August 26, 2015 [Page 4] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + of GF(q) are those x which the (b-1)-bit encoding of x is + lexicographically larger than the (b-1)-bit encoding of -x. + +4.2. Keys + + + An EdDSA secret key is a b-bit string k. Let the hash H(k) = (h_0, + h_1, ..., h_(2b-1)) determine an integer a which is 2^(b-2) plus the + sum of m = 2^i * h_i for all i equal or larger than 3 and equal to or + less than b-3 such that m is a member of the set { 2^(b-2), 2^(b-2) + + 8, ..., 2^(b-1) - 8 }. The EdDSA public key is ENC(A) = ENC(aB). + The bits h_b, ..., h_(2b-1) is used below during signing. + +4.3. Sign + + + The signature of a message M under a secret key k is the 2b-bit + string ENC(R) || ENC'(S), where ENC'(S) is defined as the b-bit + little-endian encoding of S. R and S are derived as follows. First + define r = H(h_b, ... h_(2b-1)), M) interpreting 2b-bit strings in + little-endian form as integers in {0, 1, ..., 2^(2b)-1}. Let R=rB + and S=(r+H(ENC(R) || ENC(A) || M)a) mod l. + +4.4. Verify + + + To verify a signature ENC(R) || ENC'(S) on a message M under a public + key ENC(A), proceed as follows. Parse the inputs so that A and R is + an element of E, and S is a member of the set {0, 1, ..., l-1 }. + Compute H' = H(ENC(R) || ENC(A) || M) and check the group equation + 8SB = 8R + 8H'A in E. Verification is rejected if parsing fails or + the group equation does not hold. + +5. Ed25519 + + + Theoretically, Ed25519 is EdDSA instantiated with b=256, H being + SHA-512 [RFC4634], p is the prime 2^255-19, the 255-bit encoding of + GF(2^255-19) being the little-endian encoding of {0, 1, ..., + 2^255-20}, q is the prime 2^252 + 0x14def9dea2f79cd65812631a5cf5d3ed, + d = -121665/121666 which is a member of GF(p), and B is the unique + point (x, 4/5) in E for which x is "positive", which with the + encoding used simply means that the least significant bit of x is 0. + The curve p, prime q, d and B follows from [I-D.irtf-cfrg-curves]. + + Written out explicitly, B is the point (15112221349535400772501151409 + 588531511454012693041857206046113283949847762202, 4631683569492647816 + 9428394003475163141307993866256225615783033603165251855960). + + + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 5] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + +5.1. Modular arithmetic + + + For advise on how to implement arithmetic modulo p = 2^255 - 1 + efficiently and securely, see Curve25519 [CURVE25519]. For inversion + modulo p, it is recommended to use the identity x^-1 = x^(p-2) (mod + p). + + For point decoding or "decompression", square roots modulo p are + needed. They can be computed using the Tonelli-Shanks algorithm, or + the special case for p = 5 (mod 8). To find a square root of a, + first compute the candidate root x = a^((p+3)/8) (mod p). Then there + are three cases: + + x^2 = a (mod p). Then x is a square root. + + x^2 = -a (mod p). Then 2^((p-1)/4) x is a square root. + + a is not a square modulo p. + +5.2. Encoding + + + All values are coded as octet strings, and integers are coded using + little endian convention. I.e., a 32-octet string h h[0],...h[31] + represents the integer h[0] + 2^8 h[1] + ... + 2^248 h[31]. + + A curve point (x,y), with coordiantes in the range 0 <= x,y < p, is + coded as follows. First encode the y-coordinate as a little-endian + string of 32 octets. The most significant bit of the final octet is + always zero. To form the encoding of the point, copy the least + significant bit of the x-coordinate to the most significant bit of + the final octet. + +5.3. Decoding + + + Decoding a point, given as a 32-octet string, is a little more + complicated. + + 1. First interpret the string as an integer in little-endian + representation. Bit 255 of this number is the least significant + bit of the x-coordinate, and denote this value x_0. The + y-coordinate is recovered simply by clearing this bit. If the + resulting value is >= p, decoding fails. + + 2. To recover the x coordinate, the curve equation implies x^2 = + (y^2 - 1) / (d y^2 + 1) (mod p). Since d is a non-square and -1 + is a square, the numerator, (d y^2 + 1), is always invertible + modulo p. Let u = y^2 - 1 and v = d y^2 + 1. To compute the + square root of (u/v), the first step is to compute the candidate + + + +Josefsson & Moeller Expires August 26, 2015 [Page 6] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + root x = (u/v)^((p+3)/8). This can be done using the following + trick, to use a single modular powering for both the inversion of + v and the square root: + + (p+3)/8 3 (p-5)/8 + x = (u/v) = u v (u v^7) (mod p) + + 3. Again, there are three cases: + + 1. If v x^2 = u (mod p), x is a square root. + + 2. If v x^2 = -u (mod p), set x <-- x 2^((p-1)/4), which is a + square root. + + 3. Otherwise, no square root exists modulo p, and decoding + fails. + + 4. Finally, use the x_0 bit to select the right square root. If x = + 0, and x_0 = 1, decoding fails. Otherwise, if x_0 != x mod 2, + set x <-- p - x. Return the decoded point (x,y). + +5.4. Point addition + + + For point addition, the following method is recommended. A point + (x,y) is represented in extended homogeneous coordinates (X, Y, Z, + T), with x = X/Z, y = Y/Z, x y = T/Z. + + The following formulas for adding two points, (x3,y3) = + (x1,y1)+(x2,y2) are described in [Edwards-revisited], section 3.1. + They are strongly unified, i.e., they work for any pair of valid + input points. + + A = (Y1-X1)*(Y2-X2) + B = (Y1+X1)*(Y2+X2) + C = T1*2*d*T2 + D = Z1*2*Z2 + E = B-A + F = D-C + G = D+C + H = B+A + X3 = E*F + Y3 = G*H + T3 = E*H + Z3 = F*G + + + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 7] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + +5.5. Key Generation + + + The secret is 32 octets (256 bits, corresponding to b) of + cryptographically-secure random data. See [RFC4086] for a discussion + about randomness. + + The 32-byte public key is generated by the following steps. + + 1. Hash the 32-byte secret using SHA-512, storing the digest in a + 64-octet large buffer, denoted h. Only the lower 32 bytes are + used for generating the public key. + + 2. Prune the buffer. In C terminology: + + h[0] &= ~0x07; + h[31] &= 0x7F; + h[31] |= 0x40; + + 3. Interpret the buffer as the little-endian integer, forming a + secret scalar a. Perform a known-base-point scalar + multiplication a B. + + 4. The public key A is the encoding of the point aB. First encode + the y coordinate (in the range 0 <= y < p) as a little-endian + string of 32 octets. The most significant bit of the final octet + is always zero. To form the encoding of the point aB, copy the + least significant bit of the x coordinate to the most significant + bit of the final octet. The result is the public key. + +5.6. Sign + + + The imputs to the signing procedure is the secret key, a 32-octet + string, and a message M of arbitrary size. + + 1. Hash the secret key, 32-octets, using SHA-512. Let h denote the + resulting digest. Construct the secret scalar a from the first + half of the digest, and the corresponding public key A, as + described in the previous section. Let prefix denote the second + half of the hash digest, h[32],...,h[63]. + + 2. Compute SHA-512(prefix || M), where M is the message to be + signed. Interpret the 64-octet digest as a little-endian integer + r. + + 3. Compute the point rB. For efficiency, do this by first reducing + r modulo q, the group order of B. Let the string R be the + encoding of this point. + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 8] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + 4. Compute SHA512(R || A || M), and interpret the 64-octet digest as + a little-endian integer k. + + 5. Compute s = (r + k a) mod q. For efficiency, again reduce k + modulo q first. + + 6. Form the signature of the concatenation of R (32 octets) and the + little-endian encoding of s (32 octets, three most significant + bits of the final octets always zero). + +5.7. Verify + + + 1. To verify a signature on a message M, first split the signature + into two 32-octet halves. Decode the first half as a point R, + and the second half as an integer s, in the range 0 <= s < q. If + the decoding fails, the signature is invalid. + + 2. Compute SHA512(R || A || M), and interpret the 64-octet digest as + a little-endian integer k. + + 3. Check the group equation 8s B = 8 R + 8k A. It's sufficient, but + not required, to instead check s B = R + k A. + +5.8. Python illustration + + + The rest of this section describes how Ed25519 can be implemented in + Python (version 3.2 or later) for illustration. See appendix A for + the complete implementation and appendix B for a test-driver to run + it through some test vectors. + + First some preliminaries that will be needed. + + + + + + + + + + + + + + + + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 9] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + import hashlib + + def sha512(s): + return hashlib.sha512(s).digest() + + # Base field Z_p + p = 2**255 - 19 + + def modp_inv(x): + return pow(x, p-2, p) + + # Curve constant + d = -121665 * modp_inv(121666) % p + + # Group order + q = 2**252 + 27742317777372353535851937790883648493 + + def sha512_modq(s): + return int.from_bytes(sha512(s), "little") % q + + Then follows functions to perform point operations. + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 10] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + +# Points are represented as tuples (X, Y, Z, T) of extended coordinates, +# with x = X/Z, y = Y/Z, x*y = T/Z + +def point_add(P, Q): + A = (P[1]-P[0])*(Q[1]-Q[0]) % p + B = (P[1]+P[0])*(Q[1]+Q[0]) % p + C = 2 * P[3] * Q[3] * d % p + D = 2 * P[2] * Q[2] % p + E = B-A + F = D-C + G = D+C + H = B+A + return (E*F, G*H, F*G, E*H) + +# Computes Q = s * Q +def point_mul(s, P): + Q = (0, 1, 1, 0) # Neutral element + while s > 0: + # Is there any bit-set predicate? + if s & 1: + Q = point_add(Q, P) + P = point_add(P, P) + s >>= 1 + return Q + +def point_equal(P, Q): + # x1 / z1 == x2 / z2 <==> x1 * z2 == x2 * z1 + if (P[0] * Q[2] - Q[0] * P[2]) % p != 0: + return False + if (P[1] * Q[2] - Q[1] * P[2]) % p != 0: + return False + return True + + Now follows functions for point compression. + + + + + + + + + + + + + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 11] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + +# Square root of -1 +modp_sqrt_m1 = pow(2, (p-1) // 4, p) + +# Compute corresponding x coordinate, with low bit corresponding to sign, +# or return None on failure +def recover_x(y, sign): + x2 = (y*y-1) * modp_inv(d*y*y+1) + if x2 == 0: + if sign: + return None + else: + return 0 + + # Compute square root of x2 + x = pow(x2, (p+3) // 8, p) + if (x*x - x2) % p != 0: + x = x * modp_sqrt_m1 % p + if (x*x - x2) % p != 0: + return None + + if (x & 1) != sign: + x = p - x + return x + +# Base point +g_y = 4 * modp_inv(5) % p +g_x = recover_x(g_y, 0) +G = (g_x, g_y, 1, g_x * g_y % p) + +def point_compress(P): + zinv = modp_inv(P[2]) + x = P[0] * zinv % p + y = P[1] * zinv % p + return int.to_bytes(y | ((x & 1) << 255), 32, "little") + +def point_decompress(s): + if len(s) != 32: + raise Exception("Invalid input length for decompression") + y = int.from_bytes(s, "little") + sign = y >> 255 + y &= (1 << 255) - 1 + + x = recover_x(y, sign) + if x is None: + return None + else: + return (x, y, 1, x*y % p) + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 12] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + These are functions for manipulating the secret. + + def secret_expand(secret): + if len(secret) != 32: + raise Exception("Bad size of private key") + h = sha512(secret) + a = int.from_bytes(h[:32], "little") + a &= (1 << 254) - 8 + a |= (1 << 254) + return (a, h[32:]) + + def secret_to_public(secret): + (a, dummy) = secret_expand(secret) + return point_compress(point_mul(a, G)) + + The signature function works as below. + + def sign(secret, msg): + a, prefix = secret_expand(secret) + A = point_compress(point_mul(a, G)) + r = sha512_modq(prefix + msg) + R = point_mul(r, G) + Rs = point_compress(R) + h = sha512_modq(Rs + A + msg) + s = (r + h * a) % q + return Rs + int.to_bytes(s, 32, "little") + + And finally the verification function. + + def verify(public, msg, signature): + if len(public) != 32: + raise Exception("Bad public-key length") + if len(signature) != 64: + Exception("Bad signature length") + A = point_decompress(public) + if not A: + return False + Rs = signature[:32] + R = point_decompress(Rs) + if not R: + return False + s = int.from_bytes(signature[32:], "little") + h = sha512_modq(Rs + public + msg) + sB = point_mul(s, G) + hA = point_mul(h, A) + return point_equal(sB, point_add(R, hA)) + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 13] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + +6. Test Vectors for Ed25519 + + + Below is a sequence of octets with test vectors for the the Ed25519 + signature algorithm. The octets are hex encoded and whitespace is + inserted for readability. Private keys are 64 bytes, public keys 32 + bytes, message of arbitrary length, and signatures are 64 bytes. The + test vectors are taken from [ED25519-TEST-VECTORS] (but we removed + the public key as a suffix of the secret key, and removed the message + from the signature) and [ED25519-LIBGCRYPT-TEST-VECTORS]. + + -----TEST 1 + SECRET KEY: + 9d61b19deffd5a60ba844af492ec2cc4 + 4449c5697b326919703bac031cae7f60 + + PUBLIC KEY: + d75a980182b10ab7d54bfed3c964073a + 0ee172f3daa62325af021a68f707511a + + MESSAGE (length 0 bytes): + + SIGNATURE: + e5564300c360ac729086e2cc806e828a + 84877f1eb8e5d974d873e06522490155 + 5fb8821590a33bacc61e39701cf9b46b + d25bf5f0595bbe24655141438e7a100b + + -----TEST 2 + SECRET KEY: + 4ccd089b28ff96da9db6c346ec114e0f + 5b8a319f35aba624da8cf6ed4fb8a6fb + + PUBLIC KEY: + 3d4017c3e843895a92b70aa74d1b7ebc + 9c982ccf2ec4968cc0cd55f12af4660c + + MESSAGE (length 1 byte): + 72 + + SIGNATURE: + 92a009a9f0d4cab8720e820b5f642540 + a2b27b5416503f8fb3762223ebdb69da + 085ac1e43e15996e458f3613d0f11d8c + 387b2eaeb4302aeeb00d291612bb0c00 + + -----TEST 3 + SECRET KEY: + c5aa8df43f9f837bedb7442f31dcb7b1 + + + +Josefsson & Moeller Expires August 26, 2015 [Page 14] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + 66d38535076f094b85ce3a2e0b4458f7 + + PUBLIC KEY: + fc51cd8e6218a1a38da47ed00230f058 + 0816ed13ba3303ac5deb911548908025 + + MESSAGE (length 2 bytes): + af82 + + SIGNATURE: + 6291d657deec24024827e69c3abe01a3 + 0ce548a284743a445e3680d7db5ac3ac + 18ff9b538d16f290ae67f760984dc659 + 4a7c15e9716ed28dc027beceea1ec40a + + -----TEST 1024 + SECRET KEY: + f5e5767cf153319517630f226876b86c + 8160cc583bc013744c6bf255f5cc0ee5 + + PUBLIC KEY: + 278117fc144c72340f67d0f2316e8386 + ceffbf2b2428c9c51fef7c597f1d426e + + MESSAGE: + 08b8b2b733424243760fe426a4b54908 + 632110a66c2f6591eabd3345e3e4eb98 + fa6e264bf09efe12ee50f8f54e9f77b1 + e355f6c50544e23fb1433ddf73be84d8 + 79de7c0046dc4996d9e773f4bc9efe57 + 38829adb26c81b37c93a1b270b20329d + 658675fc6ea534e0810a4432826bf58c + 941efb65d57a338bbd2e26640f89ffbc + 1a858efcb8550ee3a5e1998bd177e93a + 7363c344fe6b199ee5d02e82d522c4fe + ba15452f80288a821a579116ec6dad2b + 3b310da903401aa62100ab5d1a36553e + 06203b33890cc9b832f79ef80560ccb9 + a39ce767967ed628c6ad573cb116dbef + efd75499da96bd68a8a97b928a8bbc10 + 3b6621fcde2beca1231d206be6cd9ec7 + aff6f6c94fcd7204ed3455c68c83f4a4 + 1da4af2b74ef5c53f1d8ac70bdcb7ed1 + 85ce81bd84359d44254d95629e9855a9 + 4a7c1958d1f8ada5d0532ed8a5aa3fb2 + d17ba70eb6248e594e1a2297acbbb39d + 502f1a8c6eb6f1ce22b3de1a1f40cc24 + 554119a831a9aad6079cad88425de6bd + + + +Josefsson & Moeller Expires August 26, 2015 [Page 15] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + e1a9187ebb6092cf67bf2b13fd65f270 + 88d78b7e883c8759d2c4f5c65adb7553 + 878ad575f9fad878e80a0c9ba63bcbcc + 2732e69485bbc9c90bfbd62481d9089b + eccf80cfe2df16a2cf65bd92dd597b07 + 07e0917af48bbb75fed413d238f5555a + 7a569d80c3414a8d0859dc65a46128ba + b27af87a71314f318c782b23ebfe808b + 82b0ce26401d2e22f04d83d1255dc51a + ddd3b75a2b1ae0784504df543af8969b + e3ea7082ff7fc9888c144da2af58429e + c96031dbcad3dad9af0dcbaaaf268cb8 + fcffead94f3c7ca495e056a9b47acdb7 + 51fb73e666c6c655ade8297297d07ad1 + ba5e43f1bca32301651339e22904cc8c + 42f58c30c04aafdb038dda0847dd988d + cda6f3bfd15c4b4c4525004aa06eeff8 + ca61783aacec57fb3d1f92b0fe2fd1a8 + 5f6724517b65e614ad6808d6f6ee34df + f7310fdc82aebfd904b01e1dc54b2927 + 094b2db68d6f903b68401adebf5a7e08 + d78ff4ef5d63653a65040cf9bfd4aca7 + 984a74d37145986780fc0b16ac451649 + de6188a7dbdf191f64b5fc5e2ab47b57 + f7f7276cd419c17a3ca8e1b939ae49e4 + 88acba6b965610b5480109c8b17b80e1 + b7b750dfc7598d5d5011fd2dcc5600a3 + 2ef5b52a1ecc820e308aa342721aac09 + 43bf6686b64b2579376504ccc493d97e + 6aed3fb0f9cd71a43dd497f01f17c0e2 + cb3797aa2a2f256656168e6c496afc5f + b93246f6b1116398a346f1a641f3b041 + e989f7914f90cc2c7fff357876e506b5 + 0d334ba77c225bc307ba537152f3f161 + 0e4eafe595f6d9d90d11faa933a15ef1 + 369546868a7f3a45a96768d40fd9d034 + 12c091c6315cf4fde7cb68606937380d + b2eaaa707b4c4185c32eddcdd306705e + 4dc1ffc872eeee475a64dfac86aba41c + 0618983f8741c5ef68d3a101e8a3b8ca + c60c905c15fc910840b94c00a0b9d0 + + SIGNATURE: + 0aab4c900501b3e24d7cdf4663326a3a + 87df5e4843b2cbdb67cbf6e460fec350 + aa5371b1508f9f4528ecea23c436d94b + 5e8fcd4f681e30a6ac00a9704a188a03 + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 16] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + -----TEST 1A + -----An additional test with the data from test 1 but using an + -----uncompressed public key. + SECRET KEY: + 9d61b19deffd5a60ba844af492ec2cc4 + 4449c5697b326919703bac031cae7f60 + + PUBLIC KEY: + 0455d0e09a2b9d34292297e08d60d0f6 + 20c513d47253187c24b12786bd777645 + ce1a5107f7681a02af2523a6daf372e1 + 0e3a0764c9d3fe4bd5b70ab18201985a + d7 + + MSG (length 0 bytes): + + SIGNATURE: + e5564300c360ac729086e2cc806e828a + 84877f1eb8e5d974d873e06522490155 + 5fb8821590a33bacc61e39701cf9b46b + d25bf5f0595bbe24655141438e7a100b + + -----TEST 1B + -----An additional test with the data from test 1 but using an + -----compressed prefix. + SECRET KEY: + 9d61b19deffd5a60ba844af492ec2cc4 + 4449c5697b326919703bac031cae7f60 + + PUBLIC KEY: + 40d75a980182b10ab7d54bfed3c96407 + 3a0ee172f3daa62325af021a68f70751 + 1a + + MESSAGE (length 0 bytes): + + SIGNATURE: + e5564300c360ac729086e2cc806e828a + 84877f1eb8e5d974d873e06522490155 + 5fb8821590a33bacc61e39701cf9b46b + d25bf5f0595bbe24655141438e7a100b + ----- + +7. Acknowledgements + + + Feedback on this document was received from Werner Koch and Damien + Miller. + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 17] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + +8. IANA Considerations + + + None. + +9. Security Considerations + + +9.1. Side-channel leaks + + + For implementations performing signatures, secrecy of the key is + fundamental. It is possible to protect against some side-channel + attacks by ensuring that the implementation executes exactly the same + sequence of instructions and performs exactly the same memory + accesses, for any value of the secret key. + + To make an implementation side-channel silent in this way, the modulo + p arithmetic must not use any data-dependent branches, e.g., related + to carry propagation. Side channel-silent point addition is + straight-forward, thanks to the unified formulas. + + Scalar multiplication, multiplying a point by an integer, needs some + additional effort to implement in a side-channel silent manner. One + simple approach is to implement a side-channel silent conditional + assignment, and use together with the binary algorithm to examine one + bit of the integer at a time. + + Note that the example implementation in this document does not + attempt to be side-channel silent. + +10. References + + +10.1. Normative References + + + [RFC4634] Eastlake, D. and T. Hansen, "US Secure Hash Algorithms + (SHA and HMAC-SHA)", RFC 4634, July 2006. + + [I-D.irtf-cfrg-curves] + Langley, A., Salz, R., and S. Turner, "Elliptic Curves for + Security", draft-irtf-cfrg-curves-01 (work in progress), + January 2015. + +10.2. Informative References + + + [RFC4086] Eastlake, D., Schiller, J., and S. Crocker, "Randomness + Requirements for Security", BCP 106, RFC 4086, June 2005. + + + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 18] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + [EDDSA] Bernstein, D., Duif, N., Lange, T., Schwabe, P., and B. + Yang, "High-speed high-security signatures", WWW + http://ed25519.cr.yp.to/ed25519-20110926.pdf, September + 2011. + + [Faster-ECC] + Bernstein, D. and T. Lange, "Faster addition and doubling + on elliptic curves", WWW http://eprint.iacr.org/2007/286, + July 2007. + + [Edwards-revisited] + Hisil, H., Wong, K., Carter, G., and E. Dawson, "Twisted + Edwards Curves Revisited", WWW + http://eprint.iacr.org/2008/522, December 2008. + + [CURVE25519] + Bernstein, D., "Curve25519: new Diffie-Hellman speed + records", WWW http://cr.yp.to/ecdh.html, February 2006. + + [ED25519-TEST-VECTORS] + Bernstein, D., Duif, N., Lange, T., Schwabe, P., and B. + Yang, "Ed25519 test vectors", WWW + http://ed25519.cr.yp.to/python/sign.input, July 2011. + + [ED25519-LIBGCRYPT-TEST-VECTORS] + Koch, W., "Ed25519 Libgcrypt test vectors", WWW + http://git.gnupg.org/cgi- + bin/gitweb.cgi?p=libgcrypt.git;a=blob;f=tests/t-ed25519.in + p;h=e13566f826321eece65e02c593bc7d885b3dbe23;hb=refs/ + heads/master, July 2014. + +Appendix A. Ed25519 Python Library + + + Below is an example implementation of Ed25519 written in Python, + version 3.2 or higher is required. + +# Loosely based on the public domain code at +# http://ed25519.cr.yp.to/software.html +# +# Needs python-3.2 + +import hashlib + + +def sha512(s): + return hashlib.sha512(s).digest() + +# Base field Z_p + + + +Josefsson & Moeller Expires August 26, 2015 [Page 19] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + +p = 2**255 - 19 + + +def modp_inv(x): + return pow(x, p-2, p) + +# Curve constant +d = -121665 * modp_inv(121666) % p + +# Group order +q = 2**252 + 27742317777372353535851937790883648493 + + +def sha512_modq(s): + return int.from_bytes(sha512(s), "little") % q + +# Points are represented as tuples (X, Y, Z, T) of extended coordinates, +# with x = X/Z, y = Y/Z, x*y = T/Z + + +def point_add(P, Q): + A = (P[1]-P[0])*(Q[1]-Q[0]) % p + B = (P[1]+P[0])*(Q[1]+Q[0]) % p + C = 2 * P[3] * Q[3] * d % p + D = 2 * P[2] * Q[2] % p + E = B-A + F = D-C + G = D+C + H = B+A + return (E*F, G*H, F*G, E*H) + + +# Computes Q = s * Q +def point_mul(s, P): + Q = (0, 1, 1, 0) # Neutral element + while s > 0: + # Is there any bit-set predicate? + if s & 1: + Q = point_add(Q, P) + P = point_add(P, P) + s >>= 1 + return Q + + +def point_equal(P, Q): + # x1 / z1 == x2 / z2 <==> x1 * z2 == x2 * z1 + if (P[0] * Q[2] - Q[0] * P[2]) % p != 0: + return False + + + +Josefsson & Moeller Expires August 26, 2015 [Page 20] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + if (P[1] * Q[2] - Q[1] * P[2]) % p != 0: + return False + return True + +# Square root of -1 +modp_sqrt_m1 = pow(2, (p-1) // 4, p) + + +# Compute corresponding x coordinate, with low bit corresponding to sign, +# or return None on failure +def recover_x(y, sign): + x2 = (y*y-1) * modp_inv(d*y*y+1) + if x2 == 0: + if sign: + return None + else: + return 0 + + # Compute square root of x2 + x = pow(x2, (p+3) // 8, p) + if (x*x - x2) % p != 0: + x = x * modp_sqrt_m1 % p + if (x*x - x2) % p != 0: + return None + + if (x & 1) != sign: + x = p - x + return x + +# Base point +g_y = 4 * modp_inv(5) % p +g_x = recover_x(g_y, 0) +G = (g_x, g_y, 1, g_x * g_y % p) + + +def point_compress(P): + zinv = modp_inv(P[2]) + x = P[0] * zinv % p + y = P[1] * zinv % p + return int.to_bytes(y | ((x & 1) << 255), 32, "little") + + +def point_decompress(s): + if len(s) != 32: + raise Exception("Invalid input length for decompression") + y = int.from_bytes(s, "little") + sign = y >> 255 + y &= (1 << 255) - 1 + + + +Josefsson & Moeller Expires August 26, 2015 [Page 21] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + x = recover_x(y, sign) + if x is None: + return None + else: + return (x, y, 1, x*y % p) + + +def secret_expand(secret): + if len(secret) != 32: + raise Exception("Bad size of private key") + h = sha512(secret) + a = int.from_bytes(h[:32], "little") + a &= (1 << 254) - 8 + a |= (1 << 254) + return (a, h[32:]) + + +def secret_to_public(secret): + (a, dummy) = secret_expand(secret) + return point_compress(point_mul(a, G)) + + +def sign(secret, msg): + a, prefix = secret_expand(secret) + A = point_compress(point_mul(a, G)) + r = sha512_modq(prefix + msg) + R = point_mul(r, G) + Rs = point_compress(R) + h = sha512_modq(Rs + A + msg) + s = (r + h * a) % q + return Rs + int.to_bytes(s, 32, "little") + + +def verify(public, msg, signature): + if len(public) != 32: + raise Exception("Bad public-key length") + if len(signature) != 64: + Exception("Bad signature length") + A = point_decompress(public) + if not A: + return False + Rs = signature[:32] + R = point_decompress(Rs) + if not R: + return False + s = int.from_bytes(signature[32:], "little") + h = sha512_modq(Rs + public + msg) + sB = point_mul(s, G) + + + +Josefsson & Moeller Expires August 26, 2015 [Page 22] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + hA = point_mul(h, A) + return point_equal(sB, point_add(R, hA)) + +Appendix B. Library driver + + + Below is a command-line tool that uses the library above to perform + computations, for interactive use or for self-checking. + + import sys + import binascii + + from ed25519 import * + + def point_valid(P): + zinv = modp_inv(P[2]) + x = P[0] * zinv % p + y = P[1] * zinv % p + assert (x*y - P[3]*zinv) % p == 0 + return (-x*x + y*y - 1 - d*x*x*y*y) % p == 0 + + assert point_valid(G) + Z = (0, 1, 1, 0) + assert point_valid(Z) + + assert point_equal(Z, point_add(Z, Z)) + assert point_equal(G, point_add(Z, G)) + assert point_equal(Z, point_mul(0, G)) + assert point_equal(G, point_mul(1, G)) + assert point_equal(point_add(G, G), point_mul(2, G)) + for i in range(0, 100): + assert point_valid(point_mul(i, G)) + assert point_equal(Z, point_mul(q, G)) + + def munge_string(s, pos, change): + return (s[:pos] + + int.to_bytes(s[pos] ^ change, 1, "little") + + s[pos+1:]) + + # Read a file in the format of + # http://ed25519.cr.yp.to/python/sign.input + lineno = 0 + while True: + line = sys.stdin.readline() + if not line: + break + lineno = lineno + 1 + print(lineno) + fields = line.split(":") + + + +Josefsson & Moeller Expires August 26, 2015 [Page 23] + + +Internet-Draft EdDSA & Ed25519 February 2015 + + + secret = (binascii.unhexlify(fields[0]))[:32] + public = binascii.unhexlify(fields[1]) + msg = binascii.unhexlify(fields[2]) + signature = binascii.unhexlify(fields[3])[:64] + + assert public == secret_to_public(secret) + assert signature == sign(secret, msg) + assert verify(public, msg, signature) + if len(msg) == 0: + bad_msg = b"x" + else: + bad_msg = munge_string(msg, len(msg) // 3, 4) + assert not verify(public, bad_msg, signature) + bad_signature = munge_string(signature, 20, 8) + assert not verify(public, msg, bad_signature) + bad_signature = munge_string(signature, 40, 16) + assert not verify(public, msg, bad_signature) + +Authors' Addresses + + Simon Josefsson + SJD AB + + Email: simon@josefsson.org + URI: http://josefsson.org/ + + + Niels Moeller + + Email: nisse@lysator.liu.se + + + + + + + + + + + + + + + + + + + + + +Josefsson & Moeller Expires August 26, 2015 [Page 24] + + + +Html markup produced by rfcmarkup 1.113, available from https://tools.ietf.org/tools/rfcmarkup/ diff --git a/src/crypto/crypto_ops_builder/include/Makefile.am b/src/crypto/crypto_ops_builder/include/Makefile.am new file mode 100644 index 000000000..894c371a3 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/Makefile.am @@ -0,0 +1,62 @@ + +SODIUM_EXPORT = \ + sodium.h \ + sodium/core.h \ + sodium/crypto_aead_chacha20poly1305.h \ + sodium/crypto_auth.h \ + sodium/crypto_auth_hmacsha256.h \ + sodium/crypto_auth_hmacsha512.h \ + sodium/crypto_auth_hmacsha512256.h \ + sodium/crypto_box.h \ + sodium/crypto_box_curve25519xsalsa20poly1305.h \ + sodium/crypto_core_hsalsa20.h \ + sodium/crypto_core_salsa20.h \ + sodium/crypto_core_salsa2012.h \ + sodium/crypto_core_salsa208.h \ + sodium/crypto_generichash.h \ + sodium/crypto_generichash_blake2b.h \ + sodium/crypto_hash.h \ + sodium/crypto_hash_sha256.h \ + sodium/crypto_hash_sha512.h \ + sodium/crypto_onetimeauth.h \ + sodium/crypto_onetimeauth_poly1305.h \ + sodium/crypto_pwhash_scryptsalsa208sha256.h \ + sodium/crypto_scalarmult.h \ + sodium/crypto_scalarmult_curve25519.h \ + sodium/crypto_secretbox.h \ + sodium/crypto_secretbox_xsalsa20poly1305.h \ + sodium/crypto_shorthash.h \ + sodium/crypto_shorthash_siphash24.h \ + sodium/crypto_sign.h \ + sodium/crypto_sign_ed25519.h \ + sodium/crypto_sign_edwards25519sha512batch.h \ + sodium/crypto_stream.h \ + sodium/crypto_stream_aes128ctr.h \ + sodium/crypto_stream_chacha20.h \ + sodium/crypto_stream_salsa20.h \ + sodium/crypto_stream_salsa2012.h \ + sodium/crypto_stream_salsa208.h \ + sodium/crypto_stream_xsalsa20.h \ + sodium/crypto_int32.h \ + sodium/crypto_int64.h \ + sodium/crypto_uint16.h \ + sodium/crypto_uint32.h \ + sodium/crypto_uint64.h \ + sodium/crypto_uint8.h \ + sodium/crypto_verify_16.h \ + sodium/crypto_verify_32.h \ + sodium/crypto_verify_64.h \ + sodium/export.h \ + sodium/randombytes.h \ + sodium/randombytes_salsa20_random.h \ + sodium/randombytes_sysrandom.h \ + sodium/runtime.h \ + sodium/utils.h + +EXTRA_SRC = $(SODIUM_EXPORT) \ + sodium/version.h.in + +nobase_include_HEADERS = $(SODIUM_EXPORT) + +nobase_nodist_include_HEADERS = \ + sodium/version.h diff --git a/src/crypto/crypto_ops_builder/include/libsodium_LICENSE b/src/crypto/crypto_ops_builder/include/libsodium_LICENSE new file mode 100644 index 000000000..3edb000f6 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/libsodium_LICENSE @@ -0,0 +1,16 @@ +/* + * Copyright (c) 2013-2015 + * Frank Denis + * + * Permission to use, copy, modify, and/or distribute this software for any + * purpose with or without fee is hereby granted, provided that the above + * copyright notice and this permission notice appear in all copies. + * + * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES + * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF + * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR + * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES + * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN + * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF + * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. + */ diff --git a/src/crypto/crypto_ops_builder/include/sodium.h b/src/crypto/crypto_ops_builder/include/sodium.h new file mode 100644 index 000000000..207bdedeb --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium.h @@ -0,0 +1,50 @@ + +#ifndef sodium_H +#define sodium_H + +#include "sodium/core.h" +#include "sodium/crypto_aead_chacha20poly1305.h" +#include "sodium/crypto_auth.h" +#include "sodium/crypto_auth_hmacsha256.h" +#include "sodium/crypto_auth_hmacsha512.h" +#include "sodium/crypto_auth_hmacsha512256.h" +#include "sodium/crypto_box.h" +#include "sodium/crypto_box_curve25519xsalsa20poly1305.h" +#include "sodium/crypto_core_hsalsa20.h" +#include "sodium/crypto_core_salsa20.h" +#include "sodium/crypto_core_salsa2012.h" +#include "sodium/crypto_core_salsa208.h" +#include "sodium/crypto_generichash.h" +#include "sodium/crypto_generichash_blake2b.h" +#include "sodium/crypto_hash.h" +#include "sodium/crypto_hash_sha256.h" +#include "sodium/crypto_hash_sha512.h" +#include "sodium/crypto_onetimeauth.h" +#include "sodium/crypto_onetimeauth_poly1305.h" +#include "sodium/crypto_pwhash_scryptsalsa208sha256.h" +#include "sodium/crypto_scalarmult.h" +#include "sodium/crypto_scalarmult_curve25519.h" +#include "sodium/crypto_secretbox.h" +#include "sodium/crypto_secretbox_xsalsa20poly1305.h" +#include "sodium/crypto_shorthash.h" +#include "sodium/crypto_shorthash_siphash24.h" +#include "sodium/crypto_sign.h" +#include "sodium/crypto_sign_ed25519.h" +#include "sodium/crypto_stream.h" +#include "sodium/crypto_stream_aes128ctr.h" +#include "sodium/crypto_stream_chacha20.h" +#include "sodium/crypto_stream_salsa20.h" +#include "sodium/crypto_stream_salsa2012.h" +#include "sodium/crypto_stream_salsa208.h" +#include "sodium/crypto_stream_xsalsa20.h" +#include "sodium/crypto_verify_16.h" +#include "sodium/crypto_verify_32.h" +#include "sodium/crypto_verify_64.h" +#include "sodium/randombytes.h" +#include "sodium/randombytes_salsa20_random.h" +#include "sodium/randombytes_sysrandom.h" +#include "sodium/runtime.h" +#include "sodium/utils.h" +#include "sodium/version.h" + +#endif diff --git a/src/crypto/crypto_ops_builder/include/sodium/crypto_int32.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_int32.h new file mode 100644 index 000000000..a22019d87 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_int32.h @@ -0,0 +1,8 @@ +#ifndef crypto_int32_H +#define crypto_int32_H + +#include + +typedef int32_t crypto_int32; + +#endif diff --git a/src/crypto/crypto_ops_builder/include/sodium/crypto_int64.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_int64.h new file mode 100644 index 000000000..f68a28361 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_int64.h @@ -0,0 +1,8 @@ +#ifndef crypto_int64_H +#define crypto_int64_H + +#include + +typedef int64_t crypto_int64; + +#endif diff --git a/src/crypto/crypto_ops_builder/include/sodium/crypto_uint16.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint16.h new file mode 100644 index 000000000..6be4e347c --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint16.h @@ -0,0 +1,8 @@ +#ifndef crypto_uint16_H +#define crypto_uint16_H + +#include + +typedef uint16_t crypto_uint16; + +#endif diff --git a/src/crypto/crypto_ops_builder/include/sodium/crypto_uint32.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint32.h new file mode 100644 index 000000000..ba66cecc6 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint32.h @@ -0,0 +1,8 @@ +#ifndef crypto_uint32_H +#define crypto_uint32_H + +#include + +typedef uint32_t crypto_uint32; + +#endif diff --git a/src/crypto/crypto_ops_builder/include/sodium/crypto_uint64.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint64.h new file mode 100644 index 000000000..98b3f6d34 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint64.h @@ -0,0 +1,8 @@ +#ifndef crypto_uint64_H +#define crypto_uint64_H + +#include + +typedef uint64_t crypto_uint64; + +#endif diff --git a/src/crypto/crypto_ops_builder/include/sodium/crypto_uint8.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint8.h new file mode 100644 index 000000000..789613ba5 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint8.h @@ -0,0 +1,8 @@ +#ifndef crypto_uint8_H +#define crypto_uint8_H + +#include + +typedef uint8_t crypto_uint8; + +#endif diff --git a/src/crypto/crypto_ops_builder/include/sodium/crypto_verify_32.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_verify_32.h new file mode 100644 index 000000000..58e4d0e82 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_verify_32.h @@ -0,0 +1,22 @@ +#ifndef crypto_verify_32_H +#define crypto_verify_32_H + +#include +#include "export.h" + +#ifdef __cplusplus +extern "C" { +#endif + +#define crypto_verify_32_BYTES 32U +SODIUM_EXPORT +size_t crypto_verify_32_bytes(void); + +SODIUM_EXPORT +int crypto_verify_32(const unsigned char *x, const unsigned char *y); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/src/crypto/crypto_ops_builder/include/sodium/randombytes.h b/src/crypto/crypto_ops_builder/include/sodium/randombytes.h new file mode 100644 index 000000000..08aff0525 --- /dev/null +++ b/src/crypto/crypto_ops_builder/include/sodium/randombytes.h @@ -0,0 +1,58 @@ + +#ifndef randombytes_H +#define randombytes_H + +#include + +#include +#include + +#include "export.h" + +#ifdef __cplusplus +# if __GNUC__ +# pragma GCC diagnostic ignored "-Wlong-long" +# endif +extern "C" { +#endif + +typedef struct randombytes_implementation { + const char *(*implementation_name)(void); /* required */ + uint32_t (*random)(void); /* required */ + void (*stir)(void); /* optional */ + uint32_t (*uniform)(const uint32_t upper_bound); /* optional, a default implementation will be used if NULL */ + void (*buf)(void * const buf, const size_t size); /* required */ + int (*close)(void); /* optional */ +} randombytes_implementation; + +SODIUM_EXPORT +void randombytes_buf(void * const buf, const size_t size); + +SODIUM_EXPORT +uint32_t randombytes_random(void); + +SODIUM_EXPORT +uint32_t randombytes_uniform(const uint32_t upper_bound); + +SODIUM_EXPORT +void randombytes_stir(void); + +SODIUM_EXPORT +int randombytes_close(void); + +SODIUM_EXPORT +int randombytes_set_implementation(randombytes_implementation *impl); + +SODIUM_EXPORT +const char *randombytes_implementation_name(void); + +/* -- NaCl compatibility interface -- */ + +SODIUM_EXPORT +void randombytes(unsigned char * const buf, const unsigned long long buf_len); + +#ifdef __cplusplus +} +#endif + +#endif diff --git a/src/crypto/crypto_ops_builder/randombytes.c b/src/crypto/crypto_ops_builder/randombytes.c new file mode 100755 index 000000000..fa7d42149 --- /dev/null +++ b/src/crypto/crypto_ops_builder/randombytes.c @@ -0,0 +1,52 @@ +#ifndef _WIN32 +#include +#include +#include +#include + +/* it's really stupid that there isn't a syscall for this */ + +static int ed25519_random_fd = -1; + +static inline void ed25519_randombytes(unsigned char *x,unsigned long long xlen) +{ + int i; + + if (ed25519_random_fd == -1) { + for (;;) { + ed25519_random_fd = open("/dev/urandom",O_RDONLY); + if (ed25519_random_fd != -1) break; + sleep(1); + } + } + + while (xlen > 0) { + if (xlen < 1048576) i = xlen; else i = 1048576; + + i = read(ed25519_random_fd,x,i); + if (i < 1) { + sleep(1); + continue; + } + + x += i; + xlen -= i; + } +} + +#else +#include +#include + +static inline void ed25519_randombytes(unsigned char *x,unsigned long long xlen) +{ + HCRYPTPROV prov = 0; + + CryptAcquireContextW(&prov, NULL, NULL, + PROV_RSA_FULL, CRYPT_VERIFYCONTEXT | CRYPT_SILENT); + + CryptGenRandom(prov, xlen, x); + CryptReleaseContext(prov, 0); +} + +#endif /* _WIN32 */ diff --git a/src/crypto/crypto_ops_builder/ref10/Makefile b/src/crypto/crypto_ops_builder/ref10/Makefile new file mode 100644 index 000000000..9b0ba7ad4 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/Makefile @@ -0,0 +1,41 @@ +all: d.h d2.h sqrtm1.h base.h base2.h \ +ge_add.h ge_sub.h \ +ge_madd.h ge_msub.h \ +ge_p2_dbl.h \ +pow225521.h pow22523.h + +d.h: d.py + python d.py > d.h + +d2.h: d2.py + python d2.py > d2.h + +sqrtm1.h: sqrtm1.py + python sqrtm1.py > sqrtm1.h + +base.h: base.py + python base.py > base.h + +base2.h: base2.py + python base2.py > base2.h + +ge_add.h: ge_add.q q2h.sh + ./q2h.sh < ge_add.q > ge_add.h + +ge_sub.h: ge_sub.q q2h.sh + ./q2h.sh < ge_sub.q > ge_sub.h + +ge_madd.h: ge_madd.q q2h.sh + ./q2h.sh < ge_madd.q > ge_madd.h + +ge_msub.h: ge_msub.q q2h.sh + ./q2h.sh < ge_msub.q > ge_msub.h + +ge_p2_dbl.h: ge_p2_dbl.q q2h.sh + ./q2h.sh < ge_p2_dbl.q > ge_p2_dbl.h + +pow22523.h: pow22523.q q2h.sh + ./q2h.sh < pow22523.q > pow22523.h + +pow225521.h: pow225521.q q2h.sh + ./q2h.sh < pow225521.q > pow225521.h diff --git a/src/crypto/crypto_ops_builder/ref10/api.h b/src/crypto/crypto_ops_builder/ref10/api.h new file mode 100644 index 000000000..d88dae0c3 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/api.h @@ -0,0 +1,4 @@ +#define CRYPTO_SECRETKEYBYTES 64 +#define CRYPTO_PUBLICKEYBYTES 32 +#define CRYPTO_BYTES 64 +#define CRYPTO_DETERMINISTIC 1 diff --git a/src/crypto/crypto_ops_builder/ref10/base.h b/src/crypto/crypto_ops_builder/ref10/base.h new file mode 100644 index 000000000..573bd8a05 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/base.h @@ -0,0 +1,1344 @@ +{ + { + { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, + { 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-18006477,12709068,3991746,-6479188,-21491523,-10550425,-31135347,-16049879,10928917,3011958 }, + { -6957757,-15594337,31696059,334240,29576716,14796075,-30831056,-12805180,18008031,10258577 }, + }, + { + { -22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 }, + { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 }, + { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 }, + }, +}, diff --git a/src/crypto/crypto_ops_builder/ref10/base.py b/src/crypto/crypto_ops_builder/ref10/base.py new file mode 100644 index 000000000..84accc858 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/base.py @@ -0,0 +1,65 @@ +b = 256 +q = 2**255 - 19 +l = 2**252 + 27742317777372353535851937790883648493 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +d = -121665 * inv(121666) +I = expmod(2,(q-1)/4,q) + +def xrecover(y): + xx = (y*y-1) * inv(d*y*y+1) + x = expmod(xx,(q+3)/8,q) + if (x*x - xx) % q != 0: x = (x*I) % q + if x % 2 != 0: x = q-x + return x + +By = 4 * inv(5) +Bx = xrecover(By) +B = [Bx % q,By % q] + +def edwards(P,Q): + x1 = P[0] + y1 = P[1] + x2 = Q[0] + y2 = Q[1] + x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) + y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) + return [x3 % q,y3 % q] + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +Bi = B +for i in range(32): + print "{" + Bij = Bi + for j in range(8): + print " {" + print " {",radix255(Bij[1]+Bij[0]),"}," + print " {",radix255(Bij[1]-Bij[0]),"}," + print " {",radix255(2*d*Bij[0]*Bij[1]),"}," + Bij = edwards(Bij,Bi) + print " }," + print "}," + for k in range(8): + Bi = edwards(Bi,Bi) diff --git a/src/crypto/crypto_ops_builder/ref10/base2.h b/src/crypto/crypto_ops_builder/ref10/base2.h new file mode 100644 index 000000000..8c538440f --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/base2.h @@ -0,0 +1,40 @@ + { + { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, + { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, + { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, + }, + { + { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, + { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, + { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, + }, + { + { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, + { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, + { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, + }, + { + { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, + { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, + { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, + }, + { + { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 }, + { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 }, + { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 }, + }, + { + { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 }, + { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 }, + { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 }, + }, + { + { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 }, + { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 }, + { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 }, + }, + { + { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 }, + { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 }, + { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 }, + }, diff --git a/src/crypto/crypto_ops_builder/ref10/base2.py b/src/crypto/crypto_ops_builder/ref10/base2.py new file mode 100644 index 000000000..5e4e8739d --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/base2.py @@ -0,0 +1,60 @@ +b = 256 +q = 2**255 - 19 +l = 2**252 + 27742317777372353535851937790883648493 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +d = -121665 * inv(121666) +I = expmod(2,(q-1)/4,q) + +def xrecover(y): + xx = (y*y-1) * inv(d*y*y+1) + x = expmod(xx,(q+3)/8,q) + if (x*x - xx) % q != 0: x = (x*I) % q + if x % 2 != 0: x = q-x + return x + +By = 4 * inv(5) +Bx = xrecover(By) +B = [Bx % q,By % q] + +def edwards(P,Q): + x1 = P[0] + y1 = P[1] + x2 = Q[0] + y2 = Q[1] + x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) + y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) + return [x3 % q,y3 % q] + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +Bi = B + +for i in range(8): + print " {" + print " {",radix255(Bi[1]+Bi[0]),"}," + print " {",radix255(Bi[1]-Bi[0]),"}," + print " {",radix255(2*d*Bi[0]*Bi[1]),"}," + print " }," + Bi = edwards(B,edwards(B,Bi)) diff --git a/src/crypto/crypto_ops_builder/ref10/d.h b/src/crypto/crypto_ops_builder/ref10/d.h new file mode 100644 index 000000000..e25f57835 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/d.h @@ -0,0 +1 @@ +-10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116 diff --git a/src/crypto/crypto_ops_builder/ref10/d.py b/src/crypto/crypto_ops_builder/ref10/d.py new file mode 100644 index 000000000..8995bb86a --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/d.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +d = -121665 * inv(121666) +print radix255(d) diff --git a/src/crypto/crypto_ops_builder/ref10/d2.h b/src/crypto/crypto_ops_builder/ref10/d2.h new file mode 100644 index 000000000..01aaec751 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/d2.h @@ -0,0 +1 @@ +-21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 diff --git a/src/crypto/crypto_ops_builder/ref10/d2.py b/src/crypto/crypto_ops_builder/ref10/d2.py new file mode 100644 index 000000000..79841758b --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/d2.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +d = -121665 * inv(121666) +print radix255(d*2) diff --git a/src/crypto/crypto_ops_builder/ref10/description b/src/crypto/crypto_ops_builder/ref10/description new file mode 100644 index 000000000..cbfcb2cba --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/description @@ -0,0 +1,2 @@ +EdDSA signatures using Curve25519 +from http://hyperelliptic.org/ebats/supercop-20141124.tar.bz2 diff --git a/src/crypto/crypto_ops_builder/ref10/designers b/src/crypto/crypto_ops_builder/ref10/designers new file mode 100644 index 000000000..2a3a93a8e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/designers @@ -0,0 +1,5 @@ +Daniel J. Bernstein +Niels Duif +Tanja Lange +Peter Schwabe +Bo-Yin Yang diff --git a/src/crypto/crypto_ops_builder/ref10/fe.h b/src/crypto/crypto_ops_builder/ref10/fe.h new file mode 100644 index 000000000..60c308ba4 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe.h @@ -0,0 +1,56 @@ +#ifndef FE_H +#define FE_H + +#include "crypto_int32.h" + +typedef crypto_int32 fe[10]; + +/* +fe means field element. +Here the field is \Z/(2^255-19). +An element t, entries t[0]...t[9], represents the integer +t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. +Bounds on each t[i] vary depending on context. +*/ + +#define fe_frombytes crypto_sign_ed25519_ref10_fe_frombytes +#define fe_tobytes crypto_sign_ed25519_ref10_fe_tobytes +#define fe_copy crypto_sign_ed25519_ref10_fe_copy +#define fe_isnonzero crypto_sign_ed25519_ref10_fe_isnonzero +#define fe_isnegative crypto_sign_ed25519_ref10_fe_isnegative +#define fe_0 crypto_sign_ed25519_ref10_fe_0 +#define fe_1 crypto_sign_ed25519_ref10_fe_1 +#define fe_cswap crypto_sign_ed25519_ref10_fe_cswap +#define fe_cmov crypto_sign_ed25519_ref10_fe_cmov +#define fe_add crypto_sign_ed25519_ref10_fe_add +#define fe_sub crypto_sign_ed25519_ref10_fe_sub +#define fe_neg crypto_sign_ed25519_ref10_fe_neg +#define fe_mul crypto_sign_ed25519_ref10_fe_mul +#define fe_sq crypto_sign_ed25519_ref10_fe_sq +#define fe_sq2 crypto_sign_ed25519_ref10_fe_sq2 +#define fe_mul121666 crypto_sign_ed25519_ref10_fe_mul121666 +#define fe_invert crypto_sign_ed25519_ref10_fe_invert +#define fe_pow22523 crypto_sign_ed25519_ref10_fe_pow22523 + +extern void fe_frombytes(fe,const unsigned char *); +extern void fe_tobytes(unsigned char *,const fe); + +extern void fe_copy(fe,const fe); +extern int fe_isnonzero(const fe); +extern int fe_isnegative(const fe); +extern void fe_0(fe); +extern void fe_1(fe); +extern void fe_cswap(fe,fe,unsigned int); +extern void fe_cmov(fe,const fe,unsigned int); + +extern void fe_add(fe,const fe,const fe); +extern void fe_sub(fe,const fe,const fe); +extern void fe_neg(fe,const fe); +extern void fe_mul(fe,const fe,const fe); +extern void fe_sq(fe,const fe); +extern void fe_sq2(fe,const fe); +extern void fe_mul121666(fe,const fe); +extern void fe_invert(fe,const fe); +extern void fe_pow22523(fe,const fe); + +#endif diff --git a/src/crypto/crypto_ops_builder/ref10/fe_0.c b/src/crypto/crypto_ops_builder/ref10/fe_0.c new file mode 100644 index 000000000..ec879d733 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_0.c @@ -0,0 +1,19 @@ +#include "fe.h" + +/* +h = 0 +*/ + +void fe_0(fe h) +{ + h[0] = 0; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_1.c b/src/crypto/crypto_ops_builder/ref10/fe_1.c new file mode 100644 index 000000000..8cf778484 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_1.c @@ -0,0 +1,19 @@ +#include "fe.h" + +/* +h = 1 +*/ + +void fe_1(fe h) +{ + h[0] = 1; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_add.c b/src/crypto/crypto_ops_builder/ref10/fe_add.c new file mode 100644 index 000000000..e6a81da20 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_add.c @@ -0,0 +1,57 @@ +#include "fe.h" + +/* +h = f + g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +void fe_add(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 + g0; + crypto_int32 h1 = f1 + g1; + crypto_int32 h2 = f2 + g2; + crypto_int32 h3 = f3 + g3; + crypto_int32 h4 = f4 + g4; + crypto_int32 h5 = f5 + g5; + crypto_int32 h6 = f6 + g6; + crypto_int32 h7 = f7 + g7; + crypto_int32 h8 = f8 + g8; + crypto_int32 h9 = f9 + g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_cmov.c b/src/crypto/crypto_ops_builder/ref10/fe_cmov.c new file mode 100644 index 000000000..8ca584fb1 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_cmov.c @@ -0,0 +1,63 @@ +#include "fe.h" + +/* +Replace (f,g) with (g,g) if b == 1; +replace (f,g) with (f,g) if b == 0. + +Preconditions: b in {0,1}. +*/ + +void fe_cmov(fe f,const fe g,unsigned int b) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 x0 = f0 ^ g0; + crypto_int32 x1 = f1 ^ g1; + crypto_int32 x2 = f2 ^ g2; + crypto_int32 x3 = f3 ^ g3; + crypto_int32 x4 = f4 ^ g4; + crypto_int32 x5 = f5 ^ g5; + crypto_int32 x6 = f6 ^ g6; + crypto_int32 x7 = f7 ^ g7; + crypto_int32 x8 = f8 ^ g8; + crypto_int32 x9 = f9 ^ g9; + b = -b; + x0 &= b; + x1 &= b; + x2 &= b; + x3 &= b; + x4 &= b; + x5 &= b; + x6 &= b; + x7 &= b; + x8 &= b; + x9 &= b; + f[0] = f0 ^ x0; + f[1] = f1 ^ x1; + f[2] = f2 ^ x2; + f[3] = f3 ^ x3; + f[4] = f4 ^ x4; + f[5] = f5 ^ x5; + f[6] = f6 ^ x6; + f[7] = f7 ^ x7; + f[8] = f8 ^ x8; + f[9] = f9 ^ x9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_copy.c b/src/crypto/crypto_ops_builder/ref10/fe_copy.c new file mode 100644 index 000000000..9c5bf865a --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_copy.c @@ -0,0 +1,29 @@ +#include "fe.h" + +/* +h = f +*/ + +void fe_copy(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + h[0] = f0; + h[1] = f1; + h[2] = f2; + h[3] = f3; + h[4] = f4; + h[5] = f5; + h[6] = f6; + h[7] = f7; + h[8] = f8; + h[9] = f9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_frombytes.c b/src/crypto/crypto_ops_builder/ref10/fe_frombytes.c new file mode 100644 index 000000000..5c1791748 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_frombytes.c @@ -0,0 +1,73 @@ +#include "fe.h" +#include "crypto_int64.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Ignores top bit of h. +*/ + +void fe_frombytes(fe h,const unsigned char *s) +{ + crypto_int64 h0 = load_4(s); + crypto_int64 h1 = load_3(s + 4) << 6; + crypto_int64 h2 = load_3(s + 7) << 5; + crypto_int64 h3 = load_3(s + 10) << 3; + crypto_int64 h4 = load_3(s + 13) << 2; + crypto_int64 h5 = load_4(s + 16); + crypto_int64 h6 = load_3(s + 20) << 7; + crypto_int64 h7 = load_3(s + 23) << 5; + crypto_int64 h8 = load_3(s + 26) << 4; + crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_invert.c b/src/crypto/crypto_ops_builder/ref10/fe_invert.c new file mode 100644 index 000000000..bcfdb8ff8 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_invert.c @@ -0,0 +1,14 @@ +#include "fe.h" + +void fe_invert(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + fe t3; + int i; + +#include "pow225521.h" + + return; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_isnegative.c b/src/crypto/crypto_ops_builder/ref10/fe_isnegative.c new file mode 100644 index 000000000..3b2c8b8d5 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_isnegative.c @@ -0,0 +1,16 @@ +#include "fe.h" + +/* +return 1 if f is in {1,3,5,...,q-2} +return 0 if f is in {0,2,4,...,q-1} + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +int fe_isnegative(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return s[0] & 1; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_isnonzero.c b/src/crypto/crypto_ops_builder/ref10/fe_isnonzero.c new file mode 100644 index 000000000..47568001c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_isnonzero.c @@ -0,0 +1,19 @@ +#include "fe.h" +#include "crypto_verify_32.h" + +/* +return 1 if f == 0 +return 0 if f != 0 + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +static const unsigned char zero[32]; + +int fe_isnonzero(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return crypto_verify_32(s,zero); +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_mul.c b/src/crypto/crypto_ops_builder/ref10/fe_mul.c new file mode 100644 index 000000000..26ca8b368 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_mul.c @@ -0,0 +1,253 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = f * g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +Notes on implementation strategy: + +Using schoolbook multiplication. +Karatsuba would save a little in some cost models. + +Most multiplications by 2 and 19 are 32-bit precomputations; +cheaper than 64-bit postcomputations. + +There is one remaining multiplication by 19 in the carry chain; +one *19 precomputation can be merged into this, +but the resulting data flow is considerably less clean. + +There are 12 carries below. +10 of them are 2-way parallelizable and vectorizable. +Can get away with 11 carries, but then data flow is much deeper. + +With tighter constraints on inputs can squeeze carries into int32. +*/ + +void fe_mul(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */ + crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ + crypto_int32 g3_19 = 19 * g3; + crypto_int32 g4_19 = 19 * g4; + crypto_int32 g5_19 = 19 * g5; + crypto_int32 g6_19 = 19 * g6; + crypto_int32 g7_19 = 19 * g7; + crypto_int32 g8_19 = 19 * g8; + crypto_int32 g9_19 = 19 * g9; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f9_2 = 2 * f9; + crypto_int64 f0g0 = f0 * (crypto_int64) g0; + crypto_int64 f0g1 = f0 * (crypto_int64) g1; + crypto_int64 f0g2 = f0 * (crypto_int64) g2; + crypto_int64 f0g3 = f0 * (crypto_int64) g3; + crypto_int64 f0g4 = f0 * (crypto_int64) g4; + crypto_int64 f0g5 = f0 * (crypto_int64) g5; + crypto_int64 f0g6 = f0 * (crypto_int64) g6; + crypto_int64 f0g7 = f0 * (crypto_int64) g7; + crypto_int64 f0g8 = f0 * (crypto_int64) g8; + crypto_int64 f0g9 = f0 * (crypto_int64) g9; + crypto_int64 f1g0 = f1 * (crypto_int64) g0; + crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; + crypto_int64 f1g2 = f1 * (crypto_int64) g2; + crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; + crypto_int64 f1g4 = f1 * (crypto_int64) g4; + crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; + crypto_int64 f1g6 = f1 * (crypto_int64) g6; + crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; + crypto_int64 f1g8 = f1 * (crypto_int64) g8; + crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; + crypto_int64 f2g0 = f2 * (crypto_int64) g0; + crypto_int64 f2g1 = f2 * (crypto_int64) g1; + crypto_int64 f2g2 = f2 * (crypto_int64) g2; + crypto_int64 f2g3 = f2 * (crypto_int64) g3; + crypto_int64 f2g4 = f2 * (crypto_int64) g4; + crypto_int64 f2g5 = f2 * (crypto_int64) g5; + crypto_int64 f2g6 = f2 * (crypto_int64) g6; + crypto_int64 f2g7 = f2 * (crypto_int64) g7; + crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; + crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; + crypto_int64 f3g0 = f3 * (crypto_int64) g0; + crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; + crypto_int64 f3g2 = f3 * (crypto_int64) g2; + crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; + crypto_int64 f3g4 = f3 * (crypto_int64) g4; + crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; + crypto_int64 f3g6 = f3 * (crypto_int64) g6; + crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; + crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; + crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; + crypto_int64 f4g0 = f4 * (crypto_int64) g0; + crypto_int64 f4g1 = f4 * (crypto_int64) g1; + crypto_int64 f4g2 = f4 * (crypto_int64) g2; + crypto_int64 f4g3 = f4 * (crypto_int64) g3; + crypto_int64 f4g4 = f4 * (crypto_int64) g4; + crypto_int64 f4g5 = f4 * (crypto_int64) g5; + crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; + crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; + crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; + crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; + crypto_int64 f5g0 = f5 * (crypto_int64) g0; + crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; + crypto_int64 f5g2 = f5 * (crypto_int64) g2; + crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; + crypto_int64 f5g4 = f5 * (crypto_int64) g4; + crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; + crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; + crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; + crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; + crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; + crypto_int64 f6g0 = f6 * (crypto_int64) g0; + crypto_int64 f6g1 = f6 * (crypto_int64) g1; + crypto_int64 f6g2 = f6 * (crypto_int64) g2; + crypto_int64 f6g3 = f6 * (crypto_int64) g3; + crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; + crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; + crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; + crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; + crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; + crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; + crypto_int64 f7g0 = f7 * (crypto_int64) g0; + crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; + crypto_int64 f7g2 = f7 * (crypto_int64) g2; + crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; + crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; + crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; + crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; + crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; + crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; + crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; + crypto_int64 f8g0 = f8 * (crypto_int64) g0; + crypto_int64 f8g1 = f8 * (crypto_int64) g1; + crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; + crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; + crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; + crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; + crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; + crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; + crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; + crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; + crypto_int64 f9g0 = f9 * (crypto_int64) g0; + crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; + crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; + crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; + crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; + crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; + crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; + crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; + crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; + crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; + crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; + crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; + crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; + crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; + crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; + crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; + crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; + crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; + crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; + crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + /* + |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) + i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 + |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) + i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 + */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.71*2^59 */ + /* |h5| <= 1.71*2^59 */ + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + /* |h1| <= 2^24; from now on fits into int32 */ + /* |h5| <= 2^24; from now on fits into int32 */ + /* |h2| <= 1.41*2^60 */ + /* |h6| <= 1.41*2^60 */ + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + /* |h2| <= 2^25; from now on fits into int32 unchanged */ + /* |h6| <= 2^25; from now on fits into int32 unchanged */ + /* |h3| <= 1.71*2^59 */ + /* |h7| <= 1.71*2^59 */ + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + /* |h3| <= 2^24; from now on fits into int32 unchanged */ + /* |h7| <= 2^24; from now on fits into int32 unchanged */ + /* |h4| <= 1.72*2^34 */ + /* |h8| <= 1.41*2^60 */ + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + /* |h4| <= 2^25; from now on fits into int32 unchanged */ + /* |h8| <= 2^25; from now on fits into int32 unchanged */ + /* |h5| <= 1.01*2^24 */ + /* |h9| <= 1.71*2^59 */ + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.1*2^39 */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_neg.c b/src/crypto/crypto_ops_builder/ref10/fe_neg.c new file mode 100644 index 000000000..2078ce528 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_neg.c @@ -0,0 +1,45 @@ +#include "fe.h" + +/* +h = -f + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +*/ + +void fe_neg(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 h0 = -f0; + crypto_int32 h1 = -f1; + crypto_int32 h2 = -f2; + crypto_int32 h3 = -f3; + crypto_int32 h4 = -f4; + crypto_int32 h5 = -f5; + crypto_int32 h6 = -f6; + crypto_int32 h7 = -f7; + crypto_int32 h8 = -f8; + crypto_int32 h9 = -f9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_pow22523.c b/src/crypto/crypto_ops_builder/ref10/fe_pow22523.c new file mode 100644 index 000000000..56675a590 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_pow22523.c @@ -0,0 +1,13 @@ +#include "fe.h" + +void fe_pow22523(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + int i; + +#include "pow22523.h" + + return; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_sq.c b/src/crypto/crypto_ops_builder/ref10/fe_sq.c new file mode 100644 index 000000000..8dd119841 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_sq.c @@ -0,0 +1,149 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +void fe_sq(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_sq2.c b/src/crypto/crypto_ops_builder/ref10/fe_sq2.c new file mode 100644 index 000000000..026ed3aac --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_sq2.c @@ -0,0 +1,160 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = 2 * f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +void fe_sq2(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + h0 += h0; + h1 += h1; + h2 += h2; + h3 += h3; + h4 += h4; + h5 += h5; + h6 += h6; + h7 += h7; + h8 += h8; + h9 += h9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_sub.c b/src/crypto/crypto_ops_builder/ref10/fe_sub.c new file mode 100644 index 000000000..6e26b7df8 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_sub.c @@ -0,0 +1,57 @@ +#include "fe.h" + +/* +h = f - g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +void fe_sub(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 - g0; + crypto_int32 h1 = f1 - g1; + crypto_int32 h2 = f2 - g2; + crypto_int32 h3 = f3 - g3; + crypto_int32 h4 = f4 - g4; + crypto_int32 h5 = f5 - g5; + crypto_int32 h6 = f6 - g6; + crypto_int32 h7 = f7 - g7; + crypto_int32 h8 = f8 - g8; + crypto_int32 h9 = f9 - g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10/fe_tobytes.c b/src/crypto/crypto_ops_builder/ref10/fe_tobytes.c new file mode 100644 index 000000000..0a63baf9c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/fe_tobytes.c @@ -0,0 +1,119 @@ +#include "fe.h" + +/* +Preconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + +Write p=2^255-19; q=floor(h/p). +Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). + +Proof: + Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. + Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. + + Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). + Then 0> 25; + q = (h0 + q) >> 26; + q = (h1 + q) >> 25; + q = (h2 + q) >> 26; + q = (h3 + q) >> 25; + q = (h4 + q) >> 26; + q = (h5 + q) >> 25; + q = (h6 + q) >> 26; + q = (h7 + q) >> 25; + q = (h8 + q) >> 26; + q = (h9 + q) >> 25; + + /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ + h0 += 19 * q; + /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ + + carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26; + carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; + carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; + carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; + carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; + carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; + carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; + carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; + carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; + carry9 = h9 >> 25; h9 -= carry9 << 25; + /* h10 = carry9 */ + + /* + Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. + Have h0+...+2^230 h9 between 0 and 2^255-1; + evidently 2^255 h10-2^255 q = 0. + Goal: Output h0+...+2^230 h9. + */ + + s[0] = h0 >> 0; + s[1] = h0 >> 8; + s[2] = h0 >> 16; + s[3] = (h0 >> 24) | (h1 << 2); + s[4] = h1 >> 6; + s[5] = h1 >> 14; + s[6] = (h1 >> 22) | (h2 << 3); + s[7] = h2 >> 5; + s[8] = h2 >> 13; + s[9] = (h2 >> 21) | (h3 << 5); + s[10] = h3 >> 3; + s[11] = h3 >> 11; + s[12] = (h3 >> 19) | (h4 << 6); + s[13] = h4 >> 2; + s[14] = h4 >> 10; + s[15] = h4 >> 18; + s[16] = h5 >> 0; + s[17] = h5 >> 8; + s[18] = h5 >> 16; + s[19] = (h5 >> 24) | (h6 << 1); + s[20] = h6 >> 7; + s[21] = h6 >> 15; + s[22] = (h6 >> 23) | (h7 << 3); + s[23] = h7 >> 5; + s[24] = h7 >> 13; + s[25] = (h7 >> 21) | (h8 << 4); + s[26] = h8 >> 4; + s[27] = h8 >> 12; + s[28] = (h8 >> 20) | (h9 << 6); + s[29] = h9 >> 2; + s[30] = h9 >> 10; + s[31] = h9 >> 18; +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge.h b/src/crypto/crypto_ops_builder/ref10/ge.h new file mode 100644 index 000000000..55e95f95b --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge.h @@ -0,0 +1,95 @@ +#ifndef GE_H +#define GE_H + +/* +ge means group element. + +Here the group is the set of pairs (x,y) of field elements (see fe.h) +satisfying -x^2 + y^2 = 1 + d x^2y^2 +where d = -121665/121666. + +Representations: + ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z + ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT + ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T + ge_precomp (Duif): (y+x,y-x,2dxy) +*/ + +#include "fe.h" + +typedef struct { + fe X; + fe Y; + fe Z; +} ge_p2; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p3; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p1p1; + +typedef struct { + fe yplusx; + fe yminusx; + fe xy2d; +} ge_precomp; + +typedef struct { + fe YplusX; + fe YminusX; + fe Z; + fe T2d; +} ge_cached; + +#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime +#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes +#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes + +#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0 +#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0 +#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0 +#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2 +#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached +#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2 +#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3 +#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl +#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl + +#define ge_madd crypto_sign_ed25519_ref10_ge_madd +#define ge_msub crypto_sign_ed25519_ref10_ge_msub +#define ge_add crypto_sign_ed25519_ref10_ge_add +#define ge_sub crypto_sign_ed25519_ref10_ge_sub +#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base +#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime + +extern void ge_tobytes(unsigned char *,const ge_p2 *); +extern void ge_p3_tobytes(unsigned char *,const ge_p3 *); +extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); + +extern void ge_p2_0(ge_p2 *); +extern void ge_p3_0(ge_p3 *); +extern void ge_precomp_0(ge_precomp *); +extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *); +extern void ge_p3_to_cached(ge_cached *,const ge_p3 *); +extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); +extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); +extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); +extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); + +extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); +extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); +extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); +extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); +extern void ge_scalarmult_base(ge_p3 *,const unsigned char *); +extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *); + +#endif diff --git a/src/crypto/crypto_ops_builder/ref10/ge_add.c b/src/crypto/crypto_ops_builder/ref10/ge_add.c new file mode 100644 index 000000000..da7ff5d2e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_add.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +#include "ge_add.h" +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_add.h b/src/crypto/crypto_ops_builder/ref10/ge_add.h new file mode 100644 index 000000000..7481f8ffb --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_add.h @@ -0,0 +1,97 @@ + +/* qhasm: enter ge_add */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*YpX2 */ +/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YplusX); */ +fe_mul(r->Z,r->X,q->YplusX); + +/* qhasm: B = YmX1*YmX2 */ +/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YminusX); */ +fe_mul(r->Y,r->Y,q->YminusX); + +/* qhasm: C = T2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ +fe_mul(r->T,q->T2d,p->T); + +/* qhasm: ZZ = Z1*Z2 */ +/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ +fe_mul(r->X,p->Z,q->Z); + +/* qhasm: D = 2*ZZ */ +/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ +fe_add(t0,r->X,r->X); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D+C */ +/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ +fe_add(r->Z,t0,r->T); + +/* qhasm: T3 = D-C */ +/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ +fe_sub(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10/ge_add.q b/src/crypto/crypto_ops_builder/ref10/ge_add.q new file mode 100644 index 000000000..a6572ab0f --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_add.q @@ -0,0 +1,49 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,> 3] >> (i & 7)); + + for (i = 0;i < 256;++i) + if (r[i]) { + for (b = 1;b <= 6 && i + b < 256;++b) { + if (r[i + b]) { + if (r[i] + (r[i + b] << b) <= 15) { + r[i] += r[i + b] << b; r[i + b] = 0; + } else if (r[i] - (r[i + b] << b) >= -15) { + r[i] -= r[i + b] << b; + for (k = i + b;k < 256;++k) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else + break; + } + } + } + +} + +static ge_precomp Bi[8] = { +#include "base2.h" +} ; + +/* +r = a * A + b * B +where a = a[0]+256*a[1]+...+256^31 a[31]. +and b = b[0]+256*b[1]+...+256^31 b[31]. +B is the Ed25519 base point (x,4/5) with x positive. +*/ + +void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b) +{ + signed char aslide[256]; + signed char bslide[256]; + ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ + ge_p1p1 t; + ge_p3 u; + ge_p3 A2; + int i; + + slide(aslide,a); + slide(bslide,b); + + ge_p3_to_cached(&Ai[0],A); + ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); + ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); + ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); + ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); + ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); + ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); + ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); + ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); + + ge_p2_0(r); + + for (i = 255;i >= 0;--i) { + if (aslide[i] || bslide[i]) break; + } + + for (;i >= 0;--i) { + ge_p2_dbl(&t,r); + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u,&t); + ge_add(&t,&u,&Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u,&t); + ge_sub(&t,&u,&Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u,&t); + ge_madd(&t,&u,&Bi[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u,&t); + ge_msub(&t,&u,&Bi[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r,&t); + } +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_frombytes.c b/src/crypto/crypto_ops_builder/ref10/ge_frombytes.c new file mode 100644 index 000000000..1a059ee93 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_frombytes.c @@ -0,0 +1,50 @@ +#include "ge.h" + +static const fe d = { +#include "d.h" +} ; + +static const fe sqrtm1 = { +#include "sqrtm1.h" +} ; + +int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) +{ + fe u; + fe v; + fe v3; + fe vxx; + fe check; + + fe_frombytes(h->Y,s); + fe_1(h->Z); + fe_sq(u,h->Y); + fe_mul(v,u,d); + fe_sub(u,u,h->Z); /* u = y^2-1 */ + fe_add(v,v,h->Z); /* v = dy^2+1 */ + + fe_sq(v3,v); + fe_mul(v3,v3,v); /* v3 = v^3 */ + fe_sq(h->X,v3); + fe_mul(h->X,h->X,v); + fe_mul(h->X,h->X,u); /* x = uv^7 */ + + fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ + fe_mul(h->X,h->X,v3); + fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ + + fe_sq(vxx,h->X); + fe_mul(vxx,vxx,v); + fe_sub(check,vxx,u); /* vx^2-u */ + if (fe_isnonzero(check)) { + fe_add(check,vxx,u); /* vx^2+u */ + if (fe_isnonzero(check)) return -1; + fe_mul(h->X,h->X,sqrtm1); + } + + if (fe_isnegative(h->X) == (s[31] >> 7)) + fe_neg(h->X,h->X); + + fe_mul(h->T,h->X,h->Y); + return 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_madd.c b/src/crypto/crypto_ops_builder/ref10/ge_madd.c new file mode 100644 index 000000000..622571774 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_madd.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) +{ + fe t0; +#include "ge_madd.h" +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_madd.h b/src/crypto/crypto_ops_builder/ref10/ge_madd.h new file mode 100644 index 000000000..ecae84952 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_madd.h @@ -0,0 +1,88 @@ + +/* qhasm: enter ge_madd */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ypx2 */ + +/* qhasm: fe ymx2 */ + +/* qhasm: fe xy2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*ypx2 */ +/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yplusx); */ +fe_mul(r->Z,r->X,q->yplusx); + +/* qhasm: B = YmX1*ymx2 */ +/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yminusx); */ +fe_mul(r->Y,r->Y,q->yminusx); + +/* qhasm: C = xy2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ +fe_mul(r->T,q->xy2d,p->T); + +/* qhasm: D = 2*Z1 */ +/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ +fe_add(t0,p->Z,p->Z); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D+C */ +/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ +fe_add(r->Z,t0,r->T); + +/* qhasm: T3 = D-C */ +/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ +fe_sub(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10/ge_madd.q b/src/crypto/crypto_ops_builder/ref10/ge_madd.q new file mode 100644 index 000000000..aa3db454e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_madd.q @@ -0,0 +1,46 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,YpX1=fe#1,YpX1=r->X,Y,X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*ymx2 */ +/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yminusx); */ +fe_mul(r->Z,r->X,q->yminusx); + +/* qhasm: B = YmX1*ypx2 */ +/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yplusx); */ +fe_mul(r->Y,r->Y,q->yplusx); + +/* qhasm: C = xy2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ +fe_mul(r->T,q->xy2d,p->T); + +/* qhasm: D = 2*Z1 */ +/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ +fe_add(t0,p->Z,p->Z); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D-C */ +/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ +fe_sub(r->Z,t0,r->T); + +/* qhasm: T3 = D+C */ +/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ +fe_add(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10/ge_msub.q b/src/crypto/crypto_ops_builder/ref10/ge_msub.q new file mode 100644 index 000000000..e3cadd882 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_msub.q @@ -0,0 +1,46 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,X,p->X,p->T); + fe_mul(r->Y,p->Y,p->Z); + fe_mul(r->Z,p->Z,p->T); +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p1p1_to_p3.c b/src/crypto/crypto_ops_builder/ref10/ge_p1p1_to_p3.c new file mode 100644 index 000000000..2f57b1096 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p1p1_to_p3.c @@ -0,0 +1,13 @@ +#include "ge.h" + +/* +r = p +*/ + +extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p) +{ + fe_mul(r->X,p->X,p->T); + fe_mul(r->Y,p->Y,p->Z); + fe_mul(r->Z,p->Z,p->T); + fe_mul(r->T,p->X,p->Y); +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p2_0.c b/src/crypto/crypto_ops_builder/ref10/ge_p2_0.c new file mode 100644 index 000000000..6191d1e6e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p2_0.c @@ -0,0 +1,8 @@ +#include "ge.h" + +void ge_p2_0(ge_p2 *h) +{ + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.c b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.c new file mode 100644 index 000000000..2e332b5ce --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = 2 * p +*/ + +void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) +{ + fe t0; +#include "ge_p2_dbl.h" +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.h b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.h new file mode 100644 index 000000000..128efed90 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.h @@ -0,0 +1,73 @@ + +/* qhasm: enter ge_p2_dbl */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe A */ + +/* qhasm: fe AA */ + +/* qhasm: fe XX */ + +/* qhasm: fe YY */ + +/* qhasm: fe B */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: XX=X1^2 */ +/* asm 1: fe_sq(>XX=fe#1,XX=r->X,X); */ +fe_sq(r->X,p->X); + +/* qhasm: YY=Y1^2 */ +/* asm 1: fe_sq(>YY=fe#3,YY=r->Z,Y); */ +fe_sq(r->Z,p->Y); + +/* qhasm: B=2*Z1^2 */ +/* asm 1: fe_sq2(>B=fe#4,B=r->T,Z); */ +fe_sq2(r->T,p->Z); + +/* qhasm: A=X1+Y1 */ +/* asm 1: fe_add(>A=fe#2,A=r->Y,X,Y); */ +fe_add(r->Y,p->X,p->Y); + +/* qhasm: AA=A^2 */ +/* asm 1: fe_sq(>AA=fe#5,AA=t0,Y); */ +fe_sq(t0,r->Y); + +/* qhasm: Y3=YY+XX */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,X); */ +fe_add(r->Y,r->Z,r->X); + +/* qhasm: Z3=YY-XX */ +/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,Z,X); */ +fe_sub(r->Z,r->Z,r->X); + +/* qhasm: X3=AA-Y3 */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Y); */ +fe_sub(r->X,t0,r->Y); + +/* qhasm: T3=B-Z3 */ +/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T,Z); */ +fe_sub(r->T,r->T,r->Z); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.q b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.q new file mode 100644 index 000000000..170d42f9a --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.q @@ -0,0 +1,41 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_sq2(>h,h=fe:asm/fe_add(>h,X); + fe_1(h->Y); + fe_1(h->Z); + fe_0(h->T); +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p3_dbl.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_dbl.c new file mode 100644 index 000000000..0d8a05915 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_dbl.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = 2 * p +*/ + +void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p) +{ + ge_p2 q; + ge_p3_to_p2(&q,p); + ge_p2_dbl(r,&q); +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p3_to_cached.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_to_cached.c new file mode 100644 index 000000000..bde64228c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_to_cached.c @@ -0,0 +1,17 @@ +#include "ge.h" + +/* +r = p +*/ + +static const fe d2 = { +#include "d2.h" +} ; + +extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p) +{ + fe_add(r->YplusX,p->Y,p->X); + fe_sub(r->YminusX,p->Y,p->X); + fe_copy(r->Z,p->Z); + fe_mul(r->T2d,p->T,d2); +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p3_to_p2.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_to_p2.c new file mode 100644 index 000000000..e532a9e4c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_to_p2.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = p +*/ + +extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p) +{ + fe_copy(r->X,p->X); + fe_copy(r->Y,p->Y); + fe_copy(r->Z,p->Z); +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_p3_tobytes.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_tobytes.c new file mode 100644 index 000000000..21cb2fc65 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_tobytes.c @@ -0,0 +1,14 @@ +#include "ge.h" + +void ge_p3_tobytes(unsigned char *s,const ge_p3 *h) +{ + fe recip; + fe x; + fe y; + + fe_invert(recip,h->Z); + fe_mul(x,h->X,recip); + fe_mul(y,h->Y,recip); + fe_tobytes(s,y); + s[31] ^= fe_isnegative(x) << 7; +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_precomp_0.c b/src/crypto/crypto_ops_builder/ref10/ge_precomp_0.c new file mode 100644 index 000000000..2e218861d --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_precomp_0.c @@ -0,0 +1,8 @@ +#include "ge.h" + +void ge_precomp_0(ge_precomp *h) +{ + fe_1(h->yplusx); + fe_1(h->yminusx); + fe_0(h->xy2d); +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_scalarmult_base.c b/src/crypto/crypto_ops_builder/ref10/ge_scalarmult_base.c new file mode 100644 index 000000000..421e4fa0f --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_scalarmult_base.c @@ -0,0 +1,105 @@ +#include "ge.h" +#include "crypto_uint32.h" + +static unsigned char equal(signed char b,signed char c) +{ + unsigned char ub = b; + unsigned char uc = c; + unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ + crypto_uint32 y = x; /* 0: yes; 1..255: no */ + y -= 1; /* 4294967295: yes; 0..254: no */ + y >>= 31; /* 1: yes; 0: no */ + return y; +} + +static unsigned char negative(signed char b) +{ + unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ + x >>= 63; /* 1: yes; 0: no */ + return x; +} + +static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b) +{ + fe_cmov(t->yplusx,u->yplusx,b); + fe_cmov(t->yminusx,u->yminusx,b); + fe_cmov(t->xy2d,u->xy2d,b); +} + +/* base[i][j] = (j+1)*256^i*B */ +static ge_precomp base[32][8] = { +#include "base.h" +} ; + +static void select(ge_precomp *t,int pos,signed char b) +{ + ge_precomp minust; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 1); + + ge_precomp_0(t); + cmov(t,&base[pos][0],equal(babs,1)); + cmov(t,&base[pos][1],equal(babs,2)); + cmov(t,&base[pos][2],equal(babs,3)); + cmov(t,&base[pos][3],equal(babs,4)); + cmov(t,&base[pos][4],equal(babs,5)); + cmov(t,&base[pos][5],equal(babs,6)); + cmov(t,&base[pos][6],equal(babs,7)); + cmov(t,&base[pos][7],equal(babs,8)); + fe_copy(minust.yplusx,t->yminusx); + fe_copy(minust.yminusx,t->yplusx); + fe_neg(minust.xy2d,t->xy2d); + cmov(t,&minust,bnegative); +} + +/* +h = a * B +where a = a[0]+256*a[1]+...+256^31 a[31] +B is the Ed25519 base point (x,4/5) with x positive. + +Preconditions: + a[31] <= 127 +*/ + +void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) +{ + signed char e[64]; + signed char carry; + ge_p1p1 r; + ge_p2 s; + ge_precomp t; + int i; + + for (i = 0;i < 32;++i) { + e[2 * i + 0] = (a[i] >> 0) & 15; + e[2 * i + 1] = (a[i] >> 4) & 15; + } + /* each e[i] is between 0 and 15 */ + /* e[63] is between 0 and 7 */ + + carry = 0; + for (i = 0;i < 63;++i) { + e[i] += carry; + carry = e[i] + 8; + carry >>= 4; + e[i] -= carry << 4; + } + e[63] += carry; + /* each e[i] is between -8 and 8 */ + + ge_p3_0(h); + for (i = 1;i < 64;i += 2) { + select(&t,i / 2,e[i]); + ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); + } + + ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r); + + for (i = 0;i < 64;i += 2) { + select(&t,i / 2,e[i]); + ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); + } +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_sub.c b/src/crypto/crypto_ops_builder/ref10/ge_sub.c new file mode 100644 index 000000000..69f3d5406 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_sub.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p - q +*/ + +void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +#include "ge_sub.h" +} diff --git a/src/crypto/crypto_ops_builder/ref10/ge_sub.h b/src/crypto/crypto_ops_builder/ref10/ge_sub.h new file mode 100644 index 000000000..b4ef1f5dd --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_sub.h @@ -0,0 +1,97 @@ + +/* qhasm: enter ge_sub */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*YmX2 */ +/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YminusX); */ +fe_mul(r->Z,r->X,q->YminusX); + +/* qhasm: B = YmX1*YpX2 */ +/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YplusX); */ +fe_mul(r->Y,r->Y,q->YplusX); + +/* qhasm: C = T2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ +fe_mul(r->T,q->T2d,p->T); + +/* qhasm: ZZ = Z1*Z2 */ +/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ +fe_mul(r->X,p->Z,q->Z); + +/* qhasm: D = 2*ZZ */ +/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ +fe_add(t0,r->X,r->X); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D-C */ +/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ +fe_sub(r->Z,t0,r->T); + +/* qhasm: T3 = D+C */ +/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ +fe_add(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10/ge_sub.q b/src/crypto/crypto_ops_builder/ref10/ge_sub.q new file mode 100644 index 000000000..2779a4a20 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/ge_sub.q @@ -0,0 +1,49 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,Z); + fe_mul(x,h->X,recip); + fe_mul(y,h->Y,recip); + fe_tobytes(s,y); + s[31] ^= fe_isnegative(x) << 7; +} diff --git a/src/crypto/crypto_ops_builder/ref10/keypair.c b/src/crypto/crypto_ops_builder/ref10/keypair.c new file mode 100644 index 000000000..ac6cea2b7 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/keypair.c @@ -0,0 +1,23 @@ +#include +#include "randombytes.h" +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "ge.h" + +int crypto_sign_keypair(unsigned char *pk,unsigned char *sk) +{ + unsigned char az[64]; + ge_p3 A; + + randombytes(sk,32); + crypto_hash_sha512(az,sk,32); + az[0] &= 248; + az[31] &= 63; + az[31] |= 64; + + ge_scalarmult_base(&A,az); + ge_p3_tobytes(pk,&A); + + memmove(sk + 32,pk,32); + return 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10/open.c b/src/crypto/crypto_ops_builder/ref10/open.c new file mode 100644 index 000000000..1ec4cd2bf --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/open.c @@ -0,0 +1,48 @@ +#include +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "crypto_verify_32.h" +#include "ge.h" +#include "sc.h" + +int crypto_sign_open( + unsigned char *m,unsigned long long *mlen, + const unsigned char *sm,unsigned long long smlen, + const unsigned char *pk +) +{ + unsigned char pkcopy[32]; + unsigned char rcopy[32]; + unsigned char scopy[32]; + unsigned char h[64]; + unsigned char rcheck[32]; + ge_p3 A; + ge_p2 R; + + if (smlen < 64) goto badsig; + if (sm[63] & 224) goto badsig; + if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig; + + memmove(pkcopy,pk,32); + memmove(rcopy,sm,32); + memmove(scopy,sm + 32,32); + + memmove(m,sm,smlen); + memmove(m + 32,pkcopy,32); + crypto_hash_sha512(h,m,smlen); + sc_reduce(h); + + ge_double_scalarmult_vartime(&R,h,&A,scopy); + ge_tobytes(rcheck,&R); + if (crypto_verify_32(rcheck,rcopy) == 0) { + memmove(m,m + 64,smlen - 64); + memset(m + smlen - 64,0,64); + *mlen = smlen - 64; + return 0; + } + +badsig: + *mlen = -1; + memset(m,0,smlen); + return -1; +} diff --git a/src/crypto/crypto_ops_builder/ref10/pow22523.h b/src/crypto/crypto_ops_builder/ref10/pow22523.h new file mode 100644 index 000000000..60ffe0d34 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/pow22523.h @@ -0,0 +1,160 @@ + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_252_2 */ + +/* qhasm: fe z_252_3 */ + +/* qhasm: enter pow22523 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#1,z22=fe#1,>z22=fe#1); */ +/* asm 2: fe_sq(>z22=t0,z22=t0,>z22=t0); */ +fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#1,z_5_0=t0,z_10_5=fe#2,z_10_5=fe#2,>z_10_5=fe#2); */ +/* asm 2: fe_sq(>z_10_5=t1,z_10_5=t1,>z_10_5=t1); */ +fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#1,z_10_0=t0,z_20_10=fe#2,z_20_10=fe#2,>z_20_10=fe#2); */ +/* asm 2: fe_sq(>z_20_10=t1,z_20_10=t1,>z_20_10=t1); */ +fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#2,z_20_0=t1,z_40_20=fe#3,z_40_20=fe#3,>z_40_20=fe#3); */ +/* asm 2: fe_sq(>z_40_20=t2,z_40_20=t2,>z_40_20=t2); */ +fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#2,z_40_0=t1,z_50_10=fe#2,z_50_10=fe#2,>z_50_10=fe#2); */ +/* asm 2: fe_sq(>z_50_10=t1,z_50_10=t1,>z_50_10=t1); */ +fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#1,z_50_0=t0,z_100_50=fe#2,z_100_50=fe#2,>z_100_50=fe#2); */ +/* asm 2: fe_sq(>z_100_50=t1,z_100_50=t1,>z_100_50=t1); */ +fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#2,z_100_0=t1,z_200_100=fe#3,z_200_100=fe#3,>z_200_100=fe#3); */ +/* asm 2: fe_sq(>z_200_100=t2,z_200_100=t2,>z_200_100=t2); */ +fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#2,z_200_0=t1,z_250_50=fe#2,z_250_50=fe#2,>z_250_50=fe#2); */ +/* asm 2: fe_sq(>z_250_50=t1,z_250_50=t1,>z_250_50=t1); */ +fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#1,z_250_0=t0,z_252_2=fe#1,z_252_2=fe#1,>z_252_2=fe#1); */ +/* asm 2: fe_sq(>z_252_2=t0,z_252_2=t0,>z_252_2=t0); */ +fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); + +/* qhasm: z_252_3 = z_252_2*z1 */ +/* asm 1: fe_mul(>z_252_3=fe#12,z_252_3=out,z1=fe#11: +return:nofallthrough:h=fe:asm/fe_mul(>h,h=fe:#k:asm/fe_sq(>h,h,>h);: + +: + +fe z1 +fe z2 +fe z8 +fe z9 +fe z11 +fe z22 +fe z_5_0 +fe z_10_5 +fe z_10_0 +fe z_20_10 +fe z_20_0 +fe z_40_20 +fe z_40_0 +fe z_50_10 +fe z_50_0 +fe z_100_50 +fe z_100_0 +fe z_200_100 +fe z_200_0 +fe z_250_50 +fe z_250_0 +fe z_252_2 +fe z_252_3 + +enter pow22523 + +z2 = z1^2^1 +z8 = z2^2^2 +z9 = z1*z8 +z11 = z2*z9 +z22 = z11^2^1 +z_5_0 = z9*z22 +z_10_5 = z_5_0^2^5 +z_10_0 = z_10_5*z_5_0 +z_20_10 = z_10_0^2^10 +z_20_0 = z_20_10*z_10_0 +z_40_20 = z_20_0^2^20 +z_40_0 = z_40_20*z_20_0 +z_50_10 = z_40_0^2^10 +z_50_0 = z_50_10*z_10_0 +z_100_50 = z_50_0^2^50 +z_100_0 = z_100_50*z_50_0 +z_200_100 = z_100_0^2^100 +z_200_0 = z_200_100*z_100_0 +z_250_50 = z_200_0^2^50 +z_250_0 = z_250_50*z_50_0 +z_252_2 = z_250_0^2^2 +z_252_3 = z_252_2*z1 + +return diff --git a/src/crypto/crypto_ops_builder/ref10/pow225521.h b/src/crypto/crypto_ops_builder/ref10/pow225521.h new file mode 100644 index 000000000..109df779a --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/pow225521.h @@ -0,0 +1,160 @@ + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_255_5 */ + +/* qhasm: fe z_255_21 */ + +/* qhasm: enter pow225521 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#3,z22=fe#3,>z22=fe#3); */ +/* asm 2: fe_sq(>z22=t2,z22=t2,>z22=t2); */ +fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#2,z_5_0=t1,z_10_5=fe#3,z_10_5=fe#3,>z_10_5=fe#3); */ +/* asm 2: fe_sq(>z_10_5=t2,z_10_5=t2,>z_10_5=t2); */ +fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#2,z_10_0=t1,z_20_10=fe#3,z_20_10=fe#3,>z_20_10=fe#3); */ +/* asm 2: fe_sq(>z_20_10=t2,z_20_10=t2,>z_20_10=t2); */ +fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#3,z_20_0=t2,z_40_20=fe#4,z_40_20=fe#4,>z_40_20=fe#4); */ +/* asm 2: fe_sq(>z_40_20=t3,z_40_20=t3,>z_40_20=t3); */ +fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#3,z_40_0=t2,z_50_10=fe#3,z_50_10=fe#3,>z_50_10=fe#3); */ +/* asm 2: fe_sq(>z_50_10=t2,z_50_10=t2,>z_50_10=t2); */ +fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#2,z_50_0=t1,z_100_50=fe#3,z_100_50=fe#3,>z_100_50=fe#3); */ +/* asm 2: fe_sq(>z_100_50=t2,z_100_50=t2,>z_100_50=t2); */ +fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#3,z_100_0=t2,z_200_100=fe#4,z_200_100=fe#4,>z_200_100=fe#4); */ +/* asm 2: fe_sq(>z_200_100=t3,z_200_100=t3,>z_200_100=t3); */ +fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#3,z_200_0=t2,z_250_50=fe#3,z_250_50=fe#3,>z_250_50=fe#3); */ +/* asm 2: fe_sq(>z_250_50=t2,z_250_50=t2,>z_250_50=t2); */ +fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#2,z_250_0=t1,z_255_5=fe#2,z_255_5=fe#2,>z_255_5=fe#2); */ +/* asm 2: fe_sq(>z_255_5=t1,z_255_5=t1,>z_255_5=t1); */ +fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_255_21 = z_255_5*z11 */ +/* asm 1: fe_mul(>z_255_21=fe#12,z_255_21=out,z1=fe#11: +return:nofallthrough:h=fe:asm/fe_mul(>h,h=fe:#k:asm/fe_sq(>h,h,>h);: + +: + +fe z1 +fe z2 +fe z8 +fe z9 +fe z11 +fe z22 +fe z_5_0 +fe z_10_5 +fe z_10_0 +fe z_20_10 +fe z_20_0 +fe z_40_20 +fe z_40_0 +fe z_50_10 +fe z_50_0 +fe z_100_50 +fe z_100_0 +fe z_200_100 +fe z_200_0 +fe z_250_50 +fe z_250_0 +fe z_255_5 +fe z_255_21 + +enter pow225521 + +z2 = z1^2^1 +z8 = z2^2^2 +z9 = z1*z8 +z11 = z2*z9 +z22 = z11^2^1 +z_5_0 = z9*z22 +z_10_5 = z_5_0^2^5 +z_10_0 = z_10_5*z_5_0 +z_20_10 = z_10_0^2^10 +z_20_0 = z_20_10*z_10_0 +z_40_20 = z_20_0^2^20 +z_40_0 = z_40_20*z_20_0 +z_50_10 = z_40_0^2^10 +z_50_0 = z_50_10*z_10_0 +z_100_50 = z_50_0^2^50 +z_100_0 = z_100_50*z_50_0 +z_200_100 = z_100_0^2^100 +z_200_0 = z_200_100*z_100_0 +z_250_50 = z_200_0^2^50 +z_250_0 = z_250_50*z_50_0 +z_255_5 = z_250_0^2^5 +z_255_21 = z_255_5*z11 + +return diff --git a/src/crypto/crypto_ops_builder/ref10/q2h.sh b/src/crypto/crypto_ops_builder/ref10/q2h.sh new file mode 100644 index 000000000..47ec5110e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/q2h.sh @@ -0,0 +1,4 @@ +#!/bin/sh +sed 's/^#.*//' \ +| qhasm-generic \ +| sed 's_//\(.*\)$_/*\1 */_' diff --git a/src/crypto/crypto_ops_builder/ref10/sc.h b/src/crypto/crypto_ops_builder/ref10/sc.h new file mode 100644 index 000000000..d32ed2e8c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/sc.h @@ -0,0 +1,15 @@ +#ifndef SC_H +#define SC_H + +/* +The set of scalars is \Z/l +where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +#define sc_reduce crypto_sign_ed25519_ref10_sc_reduce +#define sc_muladd crypto_sign_ed25519_ref10_sc_muladd + +extern void sc_reduce(unsigned char *); +extern void sc_muladd(unsigned char *,const unsigned char *,const unsigned char *,const unsigned char *); + +#endif diff --git a/src/crypto/crypto_ops_builder/ref10/sc_muladd.c b/src/crypto/crypto_ops_builder/ref10/sc_muladd.c new file mode 100644 index 000000000..6f1e9d02d --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/sc_muladd.c @@ -0,0 +1,368 @@ +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Input: + a[0]+256*a[1]+...+256^31*a[31] = a + b[0]+256*b[1]+...+256^31*b[31] = b + c[0]+256*c[1]+...+256^31*c[31] = c + +Output: + s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l + where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c) +{ + crypto_int64 a0 = 2097151 & load_3(a); + crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5); + crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2); + crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7); + crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4); + crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1); + crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6); + crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3); + crypto_int64 a8 = 2097151 & load_3(a + 21); + crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5); + crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2); + crypto_int64 a11 = (load_4(a + 28) >> 7); + crypto_int64 b0 = 2097151 & load_3(b); + crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5); + crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2); + crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7); + crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4); + crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1); + crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6); + crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3); + crypto_int64 b8 = 2097151 & load_3(b + 21); + crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5); + crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2); + crypto_int64 b11 = (load_4(b + 28) >> 7); + crypto_int64 c0 = 2097151 & load_3(c); + crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5); + crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2); + crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7); + crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4); + crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1); + crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6); + crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3); + crypto_int64 c8 = 2097151 & load_3(c + 21); + crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5); + crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2); + crypto_int64 c11 = (load_4(c + 28) >> 7); + crypto_int64 s0; + crypto_int64 s1; + crypto_int64 s2; + crypto_int64 s3; + crypto_int64 s4; + crypto_int64 s5; + crypto_int64 s6; + crypto_int64 s7; + crypto_int64 s8; + crypto_int64 s9; + crypto_int64 s10; + crypto_int64 s11; + crypto_int64 s12; + crypto_int64 s13; + crypto_int64 s14; + crypto_int64 s15; + crypto_int64 s16; + crypto_int64 s17; + crypto_int64 s18; + crypto_int64 s19; + crypto_int64 s20; + crypto_int64 s21; + crypto_int64 s22; + crypto_int64 s23; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + crypto_int64 carry17; + crypto_int64 carry18; + crypto_int64 carry19; + crypto_int64 carry20; + crypto_int64 carry21; + crypto_int64 carry22; + + s0 = c0 + a0*b0; + s1 = c1 + a0*b1 + a1*b0; + s2 = c2 + a0*b2 + a1*b1 + a2*b0; + s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0; + s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0; + s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0; + s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0; + s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0; + s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0; + s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0; + s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0; + s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0; + s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1; + s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2; + s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3; + s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4; + s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5; + s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6; + s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7; + s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8; + s20 = a9*b11 + a10*b10 + a11*b9; + s21 = a10*b11 + a11*b10; + s22 = a11*b11; + s23 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; + carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; + carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; + carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; + carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + s23 = 0; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + s22 = 0; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + s21 = 0; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + s20 = 0; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + s19 = 0; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + s18 = 0; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + s17 = 0; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + s16 = 0; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + s15 = 0; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + s14 = 0; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + s13 = 0; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} diff --git a/src/crypto/crypto_ops_builder/ref10/sc_reduce.c b/src/crypto/crypto_ops_builder/ref10/sc_reduce.c new file mode 100644 index 000000000..d01f5a573 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/sc_reduce.c @@ -0,0 +1,275 @@ +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Input: + s[0]+256*s[1]+...+256^63*s[63] = s + +Output: + s[0]+256*s[1]+...+256^31*s[31] = s mod l + where l = 2^252 + 27742317777372353535851937790883648493. + Overwrites s in place. +*/ + +void sc_reduce(unsigned char *s) +{ + crypto_int64 s0 = 2097151 & load_3(s); + crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5); + crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2); + crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7); + crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4); + crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1); + crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6); + crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3); + crypto_int64 s8 = 2097151 & load_3(s + 21); + crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5); + crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2); + crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7); + crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4); + crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1); + crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6); + crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3); + crypto_int64 s16 = 2097151 & load_3(s + 42); + crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5); + crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2); + crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7); + crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4); + crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1); + crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6); + crypto_int64 s23 = (load_4(s + 60) >> 3); + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + s23 = 0; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + s22 = 0; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + s21 = 0; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + s20 = 0; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + s19 = 0; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + s18 = 0; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + s17 = 0; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + s16 = 0; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + s15 = 0; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + s14 = 0; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + s13 = 0; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} diff --git a/src/crypto/crypto_ops_builder/ref10/sign.c b/src/crypto/crypto_ops_builder/ref10/sign.c new file mode 100644 index 000000000..de53742a6 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/sign.c @@ -0,0 +1,41 @@ +#include +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "ge.h" +#include "sc.h" + +int crypto_sign( + unsigned char *sm,unsigned long long *smlen, + const unsigned char *m,unsigned long long mlen, + const unsigned char *sk +) +{ + unsigned char pk[32]; + unsigned char az[64]; + unsigned char nonce[64]; + unsigned char hram[64]; + ge_p3 R; + + memmove(pk,sk + 32,32); + + crypto_hash_sha512(az,sk,32); + az[0] &= 248; + az[31] &= 63; + az[31] |= 64; + + *smlen = mlen + 64; + memmove(sm + 64,m,mlen); + memmove(sm + 32,az + 32,32); + crypto_hash_sha512(nonce,sm + 32,mlen + 32); + memmove(sm + 32,pk,32); + + sc_reduce(nonce); + ge_scalarmult_base(&R,nonce); + ge_p3_tobytes(sm,&R); + + crypto_hash_sha512(hram,sm,mlen + 64); + sc_reduce(hram); + sc_muladd(sm + 32,hram,az,nonce); + + return 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10/sqrtm1.h b/src/crypto/crypto_ops_builder/ref10/sqrtm1.h new file mode 100644 index 000000000..d8caa23b6 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/sqrtm1.h @@ -0,0 +1 @@ +-32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482 diff --git a/src/crypto/crypto_ops_builder/ref10/sqrtm1.py b/src/crypto/crypto_ops_builder/ref10/sqrtm1.py new file mode 100644 index 000000000..9a47fbc12 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10/sqrtm1.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +I = expmod(2,(q-1)/4,q) +print radix255(I) diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/MakeCryptoOps.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/MakeCryptoOps.py new file mode 100644 index 000000000..a37ddf370 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/MakeCryptoOps.py @@ -0,0 +1,261 @@ +#assumes you have gnu sed, osx sed might need slight syntax changeo +#c.f. http://unix.stackexchange.com/questions/112023/how-can-i-replace-a-string-in-a-files + +#written by shen-noether monero research labs + +import os #for copying and sed etc. +import glob #for copy files +import textwrap #for comments etc + +print("make sure you have cat and grep installed") +print("also assumes gnu sed syntax, c.f. :http://unix.stackexchange.com/questions/112023/how-can-i-replace-a-string-in-a-files") +print("I believe osx may have slightly different version of sed") +print("maybe someone smart can replace the sed with perl..") + +a = "" + +license = textwrap.dedent("""\ + // Copyright (c) 2014-2015, The Monero Project + // + // All rights reserved. + // + // Redistribution and use in source and binary forms, with or without modification, are + // permitted provided that the following conditions are met: + // + // 1. Redistributions of source code must retain the above copyright notice, this list of + // conditions and the following disclaimer. + // + // 2. Redistributions in binary form must reproduce the above copyright notice, this list + // of conditions and the following disclaimer in the documentation and/or other + // materials provided with the distribution. + // + // 3. Neither the name of the copyright holder nor the names of its contributors may be + // used to endorse or promote products derived from this software without specific + // prior written permission. + // + // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY + // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF + // MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL + // THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, + // STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF + // THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + // + // Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers + """) + +crypto_ops_includes = textwrap.dedent("""\ + #include + #include + + #include "warnings.h" + #include "crypto-ops.h" + + DISABLE_VS_WARNINGS(4146 4244) + """) + +predeclarations = textwrap.dedent("""\ + /* Predeclarations */ + + static void fe_mul(fe, const fe, const fe); + static void fe_sq(fe, const fe); + static void fe_tobytes(unsigned char *, const fe); + static int fe_isnonzero(const fe); + static void ge_madd(ge_p1p1 *, const ge_p3 *, const ge_precomp *); + static void ge_msub(ge_p1p1 *, const ge_p3 *, const ge_precomp *); + static void ge_p2_0(ge_p2 *); + static void ge_p3_dbl(ge_p1p1 *, const ge_p3 *); + static void ge_sub(ge_p1p1 *, const ge_p3 *, const ge_cached *); + static void fe_divpowm1(fe, const fe, const fe); + """) + + + +fe_comments = textwrap.dedent("""\ + /* + fe means field element. + Here the field is \Z/(2^255-19). + An element t, entries t[0]...t[9], represents the integer + t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. + Bounds on each t[i] vary depending on context. + */ + """) + +sc_comments = textwrap.dedent("""\ + /* + * + * sc code + * + * + The set of scalars is \Z/l + where l = 2^252 + 27742317777372353535851937790883648493. + + This is the order of the curve ed25519. + The point is that if a is a scalar and P is a point, + and b is congruent to a mod l, then aP = bP. + Thus, reducing mod l can possibly give you a smaller scalar, + so your elliptic curve operations take less time + */ + """) + +ge_comments = textwrap.dedent("""\ + /* + * + * ge code + * + * + ge means group element. + + Here the group is the set of pairs (x,y) of field elements (see fe.h) + satisfying -x^2 + y^2 = 1 + d x^2y^2 + where d = -121665/121666. + + Representations: + ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z + ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT + ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T + ge_precomp (Duif): (y+x,y-x,2dxy) + */ + """) + +xmr_comments = textwrap.dedent("""\ + /* + * + * xmr specific code + * + * + This code is from the original CryptoNote. + Some additional functions were needed to compute ring signatures + which are not needed for signing. + Note that sc_sub and sc_mulsub have been given their own file + since these have been rewritten + + */ + """) + + + + +def qhasmToC(fi, header, out): + #replaces mentiones of "header" in "fi" with output in "out" + #also removes qhasm comments + out1 = out+".tmp" + rem_qhasm = " |grep -v 'qhasm' |grep -v ' asm'" + com = "sed -e '/#include \""+header+"\"/ {' -e 'r "+header+"' -e 'd' -e '}' "+fi+rem_qhasm+" > "+out1 + com2 = "awk 'NF' "+out1+" > "+out + print(com) + os.system(com) + print(com2) + os.system(com2) + os.remove(out1) #temporary + +while (a != "m") and (a != "m") and (a != "c"): + a = raw_input("Make / Clean/ Quit m / c / q?") + +if a == "m": + print("making crypto-ops.c and crypto-ops.h") + + + #ref10 header files + + #ref10 c files + + #fe things + #still need to do d2, d, sqrtm1 + print("making fe.c") + print(fe_comments) + fe = glob.glob("fe*.c") + for g in fe: + os.system("cp "+g+" "+g.replace("fe", "fe.monero.")) + qhasmToC("fe_pow22523.c", "pow22523.h", "fe.monero._pow22523.c") + qhasmToC("fe_invert.c", "pow225521.h", "fe.monero._invert.c") + os.system("rm fe.monero._isnonzero.c") #since it's modified, it's in xmrSpecificOld + os.system("cat fe.monero.*.c | grep -v '^#include' > fe.monero.c") + + #sc things + print("\nmaking sc.c") + print(sc_comments) + #so you don't get multiple "loads" + os.system("tail -n +24 sc_reduce.c > sc.monero._reduce.c") #also good on linux + os.system("tail -n +24 sc_muladd.c > sc.monero._muladd.c") + os.system("tail -n +31 sc_sub.xmr.c > sc.monero._sub.xmr.c") #careful with the tails if you change these files! + os.system("cat sc.monero.*.c | grep -v '^#include' > sc.monero.c") + + #ge stuff + print("making ge.c") + ge = glob.glob("ge*.c") + for g in ge: + os.system("cp "+g+" "+g.replace("ge", "ge.monero.")) + print(ge_comments) + #need to substitute the below lines for their .h files in the appropriate places + qhasmToC("ge_add.c", "ge_add.h", "ge.monero._add.c") + qhasmToC("ge_madd.c", "ge_madd.h", "ge.monero._madd.c") + qhasmToC("ge_sub.c", "ge_sub.h", "ge.monero._sub.c") + qhasmToC("ge_msub.c", "ge_msub.h", "ge.monero._msub.c") + qhasmToC("ge_p2_dbl.c", "ge_p2_dbl.h", "ge.monero._p2_dbl.c") + qhasmToC("ge_frombytes.c", "d.h", "ge.monero._frombytes.c") + qhasmToC("ge.monero._frombytes.c", "sqrtm1.h", "ge.monero._frombytes.c") + qhasmToC("ge_p3_to_cached.c", "d2.h", "ge.monero._p3_to_cached.c") + + + + #also ge_double_scalarmult needs base2.h for ge_precomp Bi + #note, base2.h is a large file! + #also in ge_scalarmult_base ge_precomp base needs base.h included + + qhasmToC("ge_double_scalarmult.c", "base2.h", "ge.monero._double_scalarmult.c") + qhasmToC("ge_scalarmult_base.c", "base.h", "ge.monero._scalarmult_base.c") + #qhasmToC("ge.monero._scalarmult_base.c", "base.h", "ge.monero._scalarmult_base.c") + os.system("sed -i 's/ cmov/ ge_precomp_cmov/g' ge.monero._scalarmult_base.c") + os.system("cat ge.monero.*.c | grep -v '^#include' > ge.monero.c") + + + print("making crypto-ops.c") + + #sqrtm1 things + + #comments + with open("fe.monero.comments", "w") as text_file: + text_file.write(fe_comments) + with open("ge.monero.comments", "w") as text_file: + text_file.write(ge_comments) + with open("sc.monero.comments", "w") as text_file: + text_file.write(sc_comments) + with open("xmr.monero.comments", "w") as text_file: + text_file.write(xmr_comments) + with open("xmr.monero.predeclarations", "w") as text_file: + text_file.write(predeclarations) + + + #license + with open("monero.license", "w") as text_file: + text_file.write(license) + + #crypto-ops.c includes + with open("crypto-ops.monero.includes", "w") as text_file: + text_file.write(crypto_ops_includes) + + #note you may have duplicates of load_3, load_4 and possibly some other functions ... + os.system("cat monero.license crypto-ops.monero.includes xmr.monero.predeclarations fe.monero.comments fe.monero.c sc.monero.comments sc.monero.c ge.monero.comments ge.monero.c xmr.monero.comments xmrSpecificOld.c > crypto-ops.c") + + #monero specific header files + #print("making crypto-ops-tmp.h") + #os.system("cat fe.h ge.h sc.h |grep -v crypto_sign_ed25519 |grep -v fe.h > crypto-ops-tmp.h") + #we'll just use the old header crypto-ops.h + + #replace crypto_ints + os.system("sed -i 's/crypto_int32/int32_t/g' crypto-ops.c") + os.system("sed -i 's/crypto_int64/int64_t/g' crypto-ops.c") + os.system("sed -i 's/crypto_uint32/uint32_t/g' crypto-ops.c") + os.system("sed -i 's/crypto_uint64/uint64_t/g' crypto-ops.c") + + #cleaning up + os.system("rm *monero*") + + #monero specific c files +if a == "c": + #turn the directory back into ref10 + os.system("rm *monero*") + os.system("rm crypto-ops.c") diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/api.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/api.h new file mode 100644 index 000000000..d88dae0c3 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/api.h @@ -0,0 +1,4 @@ +#define CRYPTO_SECRETKEYBYTES 64 +#define CRYPTO_PUBLICKEYBYTES 32 +#define CRYPTO_BYTES 64 +#define CRYPTO_DETERMINISTIC 1 diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.h new file mode 100644 index 000000000..573bd8a05 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.h @@ -0,0 +1,1344 @@ +{ + { + { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, + { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, + { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, + }, + { + { -12815894,-12976347,-21581243,11784320,-25355658,-2750717,-11717903,-3814571,-358445,-10211303 }, + { -21703237,6903825,27185491,6451973,-29577724,-9554005,-15616551,11189268,-26829678,-5319081 }, + { 26966642,11152617,32442495,15396054,14353839,-12752335,-3128826,-9541118,-15472047,-4166697 }, + }, + { + { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, + { 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-22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 }, + { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 }, + { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 }, + }, +}, diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.py new file mode 100644 index 000000000..84accc858 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.py @@ -0,0 +1,65 @@ +b = 256 +q = 2**255 - 19 +l = 2**252 + 27742317777372353535851937790883648493 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +d = -121665 * inv(121666) +I = expmod(2,(q-1)/4,q) + +def xrecover(y): + xx = (y*y-1) * inv(d*y*y+1) + x = expmod(xx,(q+3)/8,q) + if (x*x - xx) % q != 0: x = (x*I) % q + if x % 2 != 0: x = q-x + return x + +By = 4 * inv(5) +Bx = xrecover(By) +B = [Bx % q,By % q] + +def edwards(P,Q): + x1 = P[0] + y1 = P[1] + x2 = Q[0] + y2 = Q[1] + x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) + y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) + return [x3 % q,y3 % q] + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +Bi = B +for i in range(32): + print "{" + Bij = Bi + for j in range(8): + print " {" + print " {",radix255(Bij[1]+Bij[0]),"}," + print " {",radix255(Bij[1]-Bij[0]),"}," + print " {",radix255(2*d*Bij[0]*Bij[1]),"}," + Bij = edwards(Bij,Bi) + print " }," + print "}," + for k in range(8): + Bi = edwards(Bi,Bi) diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.h new file mode 100644 index 000000000..8c538440f --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.h @@ -0,0 +1,40 @@ + { + { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, + { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, + { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, + }, + { + { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, + { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, + { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, + }, + { + { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, + { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, + { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, + }, + { + { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, + { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, + { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, + }, + { + { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 }, + { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 }, + { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 }, + }, + { + { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 }, + { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 }, + { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 }, + }, + { + { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 }, + { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 }, + { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 }, + }, + { + { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 }, + { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 }, + { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 }, + }, diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.py new file mode 100644 index 000000000..5e4e8739d --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.py @@ -0,0 +1,60 @@ +b = 256 +q = 2**255 - 19 +l = 2**252 + 27742317777372353535851937790883648493 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +d = -121665 * inv(121666) +I = expmod(2,(q-1)/4,q) + +def xrecover(y): + xx = (y*y-1) * inv(d*y*y+1) + x = expmod(xx,(q+3)/8,q) + if (x*x - xx) % q != 0: x = (x*I) % q + if x % 2 != 0: x = q-x + return x + +By = 4 * inv(5) +Bx = xrecover(By) +B = [Bx % q,By % q] + +def edwards(P,Q): + x1 = P[0] + y1 = P[1] + x2 = Q[0] + y2 = Q[1] + x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) + y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) + return [x3 % q,y3 % q] + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +Bi = B + +for i in range(8): + print " {" + print " {",radix255(Bi[1]+Bi[0]),"}," + print " {",radix255(Bi[1]-Bi[0]),"}," + print " {",radix255(2*d*Bi[0]*Bi[1]),"}," + print " }," + Bi = edwards(B,edwards(B,Bi)) diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/crypto-ops.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/crypto-ops.h new file mode 100644 index 000000000..0bd1f9f9b --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/crypto-ops.h @@ -0,0 +1,145 @@ +// Copyright (c) 2014-2015, The Monero Project +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers + +#pragma once + +/* From fe.h */ + +typedef int32_t fe[10]; + +/* From ge.h */ + +typedef struct { + fe X; + fe Y; + fe Z; +} ge_p2; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p3; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p1p1; + +typedef struct { + fe yplusx; + fe yminusx; + fe xy2d; +} ge_precomp; + +typedef struct { + fe YplusX; + fe YminusX; + fe Z; + fe T2d; +} ge_cached; + +/* From ge_add.c */ + +void ge_add(ge_p1p1 *, const ge_p3 *, const ge_cached *); + +/* From ge_double_scalarmult.c, modified */ + +typedef ge_cached ge_dsmp[8]; +extern const ge_precomp ge_Bi[8]; +void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s); +void ge_double_scalarmult_base_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *); + +/* From ge_frombytes.c, modified */ + +extern const fe fe_sqrtm1; +extern const fe fe_d; +int ge_frombytes_vartime(ge_p3 *, const unsigned char *); + +/* From ge_p1p1_to_p2.c */ + +void ge_p1p1_to_p2(ge_p2 *, const ge_p1p1 *); + +/* From ge_p1p1_to_p3.c */ + +void ge_p1p1_to_p3(ge_p3 *, const ge_p1p1 *); + +/* From ge_p2_dbl.c */ + +void ge_p2_dbl(ge_p1p1 *, const ge_p2 *); + +/* From ge_p3_to_cached.c */ + +extern const fe fe_d2; +void ge_p3_to_cached(ge_cached *, const ge_p3 *); + +/* From ge_p3_to_p2.c */ + +void ge_p3_to_p2(ge_p2 *, const ge_p3 *); + +/* From ge_p3_tobytes.c */ + +void ge_p3_tobytes(unsigned char *, const ge_p3 *); + +/* From ge_scalarmult_base.c */ + +extern const ge_precomp ge_base[32][8]; +void ge_scalarmult_base(ge_p3 *, const unsigned char *); + +/* From ge_tobytes.c */ + +void ge_tobytes(unsigned char *, const ge_p2 *); + +/* From sc_reduce.c */ + +void sc_reduce(unsigned char *); + +/* New code */ + +void ge_scalarmult(ge_p2 *, const unsigned char *, const ge_p3 *); +void ge_double_scalarmult_precomp_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *, const ge_dsmp); +void ge_mul8(ge_p1p1 *, const ge_p2 *); +extern const fe fe_ma2; +extern const fe fe_ma; +extern const fe fe_fffb1; +extern const fe fe_fffb2; +extern const fe fe_fffb3; +extern const fe fe_fffb4; +void ge_fromfe_frombytes_vartime(ge_p2 *, const unsigned char *); +void sc_0(unsigned char *); +void sc_reduce32(unsigned char *); +void sc_add(unsigned char *, const unsigned char *, const unsigned char *); +void sc_sub(unsigned char *, const unsigned char *, const unsigned char *); +void sc_mulsub(unsigned char *, const unsigned char *, const unsigned char *, const unsigned char *); +int sc_check(const unsigned char *); +int sc_isnonzero(const unsigned char *); /* Doesn't normalize */ diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.h new file mode 100644 index 000000000..e25f57835 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.h @@ -0,0 +1 @@ +-10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116 diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.py new file mode 100644 index 000000000..8995bb86a --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +d = -121665 * inv(121666) +print radix255(d) diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.h new file mode 100644 index 000000000..01aaec751 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.h @@ -0,0 +1 @@ +-21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.py new file mode 100644 index 000000000..79841758b --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +d = -121665 * inv(121666) +print radix255(d*2) diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/description b/src/crypto/crypto_ops_builder/ref10CommentedCombined/description new file mode 100644 index 000000000..07bf45d05 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/description @@ -0,0 +1,7 @@ +shen_ed25519_ref10 +MakeCryptoOps.py makes crypto-ops.c in the monero source from the ref10 implementation + +EdDSA signatures using Curve25519 +from http://hyperelliptic.org/ebats/supercop-20141124.tar.bz2 + +commented / combined by shen noether, monero research labs diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/designers b/src/crypto/crypto_ops_builder/ref10CommentedCombined/designers new file mode 100644 index 000000000..63781c08f --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/designers @@ -0,0 +1,9 @@ +ref10: +Daniel J. Bernstein +Niels Duif +Tanja Lange +Peter Schwabe +Bo-Yin Yang + +MakeCryptoOps.py +Shen Noether monero research labs diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe.h new file mode 100644 index 000000000..60c308ba4 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe.h @@ -0,0 +1,56 @@ +#ifndef FE_H +#define FE_H + +#include "crypto_int32.h" + +typedef crypto_int32 fe[10]; + +/* +fe means field element. +Here the field is \Z/(2^255-19). +An element t, entries t[0]...t[9], represents the integer +t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. +Bounds on each t[i] vary depending on context. +*/ + +#define fe_frombytes crypto_sign_ed25519_ref10_fe_frombytes +#define fe_tobytes crypto_sign_ed25519_ref10_fe_tobytes +#define fe_copy crypto_sign_ed25519_ref10_fe_copy +#define fe_isnonzero crypto_sign_ed25519_ref10_fe_isnonzero +#define fe_isnegative crypto_sign_ed25519_ref10_fe_isnegative +#define fe_0 crypto_sign_ed25519_ref10_fe_0 +#define fe_1 crypto_sign_ed25519_ref10_fe_1 +#define fe_cswap crypto_sign_ed25519_ref10_fe_cswap +#define fe_cmov crypto_sign_ed25519_ref10_fe_cmov +#define fe_add crypto_sign_ed25519_ref10_fe_add +#define fe_sub crypto_sign_ed25519_ref10_fe_sub +#define fe_neg crypto_sign_ed25519_ref10_fe_neg +#define fe_mul crypto_sign_ed25519_ref10_fe_mul +#define fe_sq crypto_sign_ed25519_ref10_fe_sq +#define fe_sq2 crypto_sign_ed25519_ref10_fe_sq2 +#define fe_mul121666 crypto_sign_ed25519_ref10_fe_mul121666 +#define fe_invert crypto_sign_ed25519_ref10_fe_invert +#define fe_pow22523 crypto_sign_ed25519_ref10_fe_pow22523 + +extern void fe_frombytes(fe,const unsigned char *); +extern void fe_tobytes(unsigned char *,const fe); + +extern void fe_copy(fe,const fe); +extern int fe_isnonzero(const fe); +extern int fe_isnegative(const fe); +extern void fe_0(fe); +extern void fe_1(fe); +extern void fe_cswap(fe,fe,unsigned int); +extern void fe_cmov(fe,const fe,unsigned int); + +extern void fe_add(fe,const fe,const fe); +extern void fe_sub(fe,const fe,const fe); +extern void fe_neg(fe,const fe); +extern void fe_mul(fe,const fe,const fe); +extern void fe_sq(fe,const fe); +extern void fe_sq2(fe,const fe); +extern void fe_mul121666(fe,const fe); +extern void fe_invert(fe,const fe); +extern void fe_pow22523(fe,const fe); + +#endif diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_0.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_0.c new file mode 100644 index 000000000..ec879d733 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_0.c @@ -0,0 +1,19 @@ +#include "fe.h" + +/* +h = 0 +*/ + +void fe_0(fe h) +{ + h[0] = 0; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_1.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_1.c new file mode 100644 index 000000000..8cf778484 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_1.c @@ -0,0 +1,19 @@ +#include "fe.h" + +/* +h = 1 +*/ + +void fe_1(fe h) +{ + h[0] = 1; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_add.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_add.c new file mode 100644 index 000000000..e6a81da20 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_add.c @@ -0,0 +1,57 @@ +#include "fe.h" + +/* +h = f + g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +void fe_add(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 + g0; + crypto_int32 h1 = f1 + g1; + crypto_int32 h2 = f2 + g2; + crypto_int32 h3 = f3 + g3; + crypto_int32 h4 = f4 + g4; + crypto_int32 h5 = f5 + g5; + crypto_int32 h6 = f6 + g6; + crypto_int32 h7 = f7 + g7; + crypto_int32 h8 = f8 + g8; + crypto_int32 h9 = f9 + g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_cmov.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_cmov.c new file mode 100644 index 000000000..8ca584fb1 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_cmov.c @@ -0,0 +1,63 @@ +#include "fe.h" + +/* +Replace (f,g) with (g,g) if b == 1; +replace (f,g) with (f,g) if b == 0. + +Preconditions: b in {0,1}. +*/ + +void fe_cmov(fe f,const fe g,unsigned int b) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 x0 = f0 ^ g0; + crypto_int32 x1 = f1 ^ g1; + crypto_int32 x2 = f2 ^ g2; + crypto_int32 x3 = f3 ^ g3; + crypto_int32 x4 = f4 ^ g4; + crypto_int32 x5 = f5 ^ g5; + crypto_int32 x6 = f6 ^ g6; + crypto_int32 x7 = f7 ^ g7; + crypto_int32 x8 = f8 ^ g8; + crypto_int32 x9 = f9 ^ g9; + b = -b; + x0 &= b; + x1 &= b; + x2 &= b; + x3 &= b; + x4 &= b; + x5 &= b; + x6 &= b; + x7 &= b; + x8 &= b; + x9 &= b; + f[0] = f0 ^ x0; + f[1] = f1 ^ x1; + f[2] = f2 ^ x2; + f[3] = f3 ^ x3; + f[4] = f4 ^ x4; + f[5] = f5 ^ x5; + f[6] = f6 ^ x6; + f[7] = f7 ^ x7; + f[8] = f8 ^ x8; + f[9] = f9 ^ x9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_copy.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_copy.c new file mode 100644 index 000000000..9c5bf865a --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_copy.c @@ -0,0 +1,29 @@ +#include "fe.h" + +/* +h = f +*/ + +void fe_copy(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + h[0] = f0; + h[1] = f1; + h[2] = f2; + h[3] = f3; + h[4] = f4; + h[5] = f5; + h[6] = f6; + h[7] = f7; + h[8] = f8; + h[9] = f9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_frombytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_frombytes.c new file mode 100644 index 000000000..5c1791748 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_frombytes.c @@ -0,0 +1,73 @@ +#include "fe.h" +#include "crypto_int64.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Ignores top bit of h. +*/ + +void fe_frombytes(fe h,const unsigned char *s) +{ + crypto_int64 h0 = load_4(s); + crypto_int64 h1 = load_3(s + 4) << 6; + crypto_int64 h2 = load_3(s + 7) << 5; + crypto_int64 h3 = load_3(s + 10) << 3; + crypto_int64 h4 = load_3(s + 13) << 2; + crypto_int64 h5 = load_4(s + 16); + crypto_int64 h6 = load_3(s + 20) << 7; + crypto_int64 h7 = load_3(s + 23) << 5; + crypto_int64 h8 = load_3(s + 26) << 4; + crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_invert.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_invert.c new file mode 100644 index 000000000..bcfdb8ff8 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_invert.c @@ -0,0 +1,14 @@ +#include "fe.h" + +void fe_invert(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + fe t3; + int i; + +#include "pow225521.h" + + return; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnegative.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnegative.c new file mode 100644 index 000000000..3b2c8b8d5 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnegative.c @@ -0,0 +1,16 @@ +#include "fe.h" + +/* +return 1 if f is in {1,3,5,...,q-2} +return 0 if f is in {0,2,4,...,q-1} + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +int fe_isnegative(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return s[0] & 1; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnonzero.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnonzero.c new file mode 100644 index 000000000..47568001c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnonzero.c @@ -0,0 +1,19 @@ +#include "fe.h" +#include "crypto_verify_32.h" + +/* +return 1 if f == 0 +return 0 if f != 0 + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +static const unsigned char zero[32]; + +int fe_isnonzero(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return crypto_verify_32(s,zero); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_mul.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_mul.c new file mode 100644 index 000000000..26ca8b368 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_mul.c @@ -0,0 +1,253 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = f * g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +Notes on implementation strategy: + +Using schoolbook multiplication. +Karatsuba would save a little in some cost models. + +Most multiplications by 2 and 19 are 32-bit precomputations; +cheaper than 64-bit postcomputations. + +There is one remaining multiplication by 19 in the carry chain; +one *19 precomputation can be merged into this, +but the resulting data flow is considerably less clean. + +There are 12 carries below. +10 of them are 2-way parallelizable and vectorizable. +Can get away with 11 carries, but then data flow is much deeper. + +With tighter constraints on inputs can squeeze carries into int32. +*/ + +void fe_mul(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */ + crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ + crypto_int32 g3_19 = 19 * g3; + crypto_int32 g4_19 = 19 * g4; + crypto_int32 g5_19 = 19 * g5; + crypto_int32 g6_19 = 19 * g6; + crypto_int32 g7_19 = 19 * g7; + crypto_int32 g8_19 = 19 * g8; + crypto_int32 g9_19 = 19 * g9; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f9_2 = 2 * f9; + crypto_int64 f0g0 = f0 * (crypto_int64) g0; + crypto_int64 f0g1 = f0 * (crypto_int64) g1; + crypto_int64 f0g2 = f0 * (crypto_int64) g2; + crypto_int64 f0g3 = f0 * (crypto_int64) g3; + crypto_int64 f0g4 = f0 * (crypto_int64) g4; + crypto_int64 f0g5 = f0 * (crypto_int64) g5; + crypto_int64 f0g6 = f0 * (crypto_int64) g6; + crypto_int64 f0g7 = f0 * (crypto_int64) g7; + crypto_int64 f0g8 = f0 * (crypto_int64) g8; + crypto_int64 f0g9 = f0 * (crypto_int64) g9; + crypto_int64 f1g0 = f1 * (crypto_int64) g0; + crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; + crypto_int64 f1g2 = f1 * (crypto_int64) g2; + crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; + crypto_int64 f1g4 = f1 * (crypto_int64) g4; + crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; + crypto_int64 f1g6 = f1 * (crypto_int64) g6; + crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; + crypto_int64 f1g8 = f1 * (crypto_int64) g8; + crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; + crypto_int64 f2g0 = f2 * (crypto_int64) g0; + crypto_int64 f2g1 = f2 * (crypto_int64) g1; + crypto_int64 f2g2 = f2 * (crypto_int64) g2; + crypto_int64 f2g3 = f2 * (crypto_int64) g3; + crypto_int64 f2g4 = f2 * (crypto_int64) g4; + crypto_int64 f2g5 = f2 * (crypto_int64) g5; + crypto_int64 f2g6 = f2 * (crypto_int64) g6; + crypto_int64 f2g7 = f2 * (crypto_int64) g7; + crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; + crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; + crypto_int64 f3g0 = f3 * (crypto_int64) g0; + crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; + crypto_int64 f3g2 = f3 * (crypto_int64) g2; + crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; + crypto_int64 f3g4 = f3 * (crypto_int64) g4; + crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; + crypto_int64 f3g6 = f3 * (crypto_int64) g6; + crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; + crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; + crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; + crypto_int64 f4g0 = f4 * (crypto_int64) g0; + crypto_int64 f4g1 = f4 * (crypto_int64) g1; + crypto_int64 f4g2 = f4 * (crypto_int64) g2; + crypto_int64 f4g3 = f4 * (crypto_int64) g3; + crypto_int64 f4g4 = f4 * (crypto_int64) g4; + crypto_int64 f4g5 = f4 * (crypto_int64) g5; + crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; + crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; + crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; + crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; + crypto_int64 f5g0 = f5 * (crypto_int64) g0; + crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; + crypto_int64 f5g2 = f5 * (crypto_int64) g2; + crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; + crypto_int64 f5g4 = f5 * (crypto_int64) g4; + crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; + crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; + crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; + crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; + crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; + crypto_int64 f6g0 = f6 * (crypto_int64) g0; + crypto_int64 f6g1 = f6 * (crypto_int64) g1; + crypto_int64 f6g2 = f6 * (crypto_int64) g2; + crypto_int64 f6g3 = f6 * (crypto_int64) g3; + crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; + crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; + crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; + crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; + crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; + crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; + crypto_int64 f7g0 = f7 * (crypto_int64) g0; + crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; + crypto_int64 f7g2 = f7 * (crypto_int64) g2; + crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; + crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; + crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; + crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; + crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; + crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; + crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; + crypto_int64 f8g0 = f8 * (crypto_int64) g0; + crypto_int64 f8g1 = f8 * (crypto_int64) g1; + crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; + crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; + crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; + crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; + crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; + crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; + crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; + crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; + crypto_int64 f9g0 = f9 * (crypto_int64) g0; + crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; + crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; + crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; + crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; + crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; + crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; + crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; + crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; + crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; + crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; + crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; + crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; + crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; + crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; + crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; + crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; + crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; + crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; + crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + /* + |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) + i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 + |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) + i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 + */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.71*2^59 */ + /* |h5| <= 1.71*2^59 */ + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + /* |h1| <= 2^24; from now on fits into int32 */ + /* |h5| <= 2^24; from now on fits into int32 */ + /* |h2| <= 1.41*2^60 */ + /* |h6| <= 1.41*2^60 */ + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + /* |h2| <= 2^25; from now on fits into int32 unchanged */ + /* |h6| <= 2^25; from now on fits into int32 unchanged */ + /* |h3| <= 1.71*2^59 */ + /* |h7| <= 1.71*2^59 */ + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + /* |h3| <= 2^24; from now on fits into int32 unchanged */ + /* |h7| <= 2^24; from now on fits into int32 unchanged */ + /* |h4| <= 1.72*2^34 */ + /* |h8| <= 1.41*2^60 */ + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + /* |h4| <= 2^25; from now on fits into int32 unchanged */ + /* |h8| <= 2^25; from now on fits into int32 unchanged */ + /* |h5| <= 1.01*2^24 */ + /* |h9| <= 1.71*2^59 */ + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.1*2^39 */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_neg.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_neg.c new file mode 100644 index 000000000..2078ce528 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_neg.c @@ -0,0 +1,45 @@ +#include "fe.h" + +/* +h = -f + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +*/ + +void fe_neg(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 h0 = -f0; + crypto_int32 h1 = -f1; + crypto_int32 h2 = -f2; + crypto_int32 h3 = -f3; + crypto_int32 h4 = -f4; + crypto_int32 h5 = -f5; + crypto_int32 h6 = -f6; + crypto_int32 h7 = -f7; + crypto_int32 h8 = -f8; + crypto_int32 h9 = -f9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_pow22523.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_pow22523.c new file mode 100644 index 000000000..56675a590 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_pow22523.c @@ -0,0 +1,13 @@ +#include "fe.h" + +void fe_pow22523(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + int i; + +#include "pow22523.h" + + return; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq.c new file mode 100644 index 000000000..8dd119841 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq.c @@ -0,0 +1,149 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +void fe_sq(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq2.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq2.c new file mode 100644 index 000000000..026ed3aac --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq2.c @@ -0,0 +1,160 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = 2 * f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +void fe_sq2(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + h0 += h0; + h1 += h1; + h2 += h2; + h3 += h3; + h4 += h4; + h5 += h5; + h6 += h6; + h7 += h7; + h8 += h8; + h9 += h9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sub.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sub.c new file mode 100644 index 000000000..6e26b7df8 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sub.c @@ -0,0 +1,57 @@ +#include "fe.h" + +/* +h = f - g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +void fe_sub(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 - g0; + crypto_int32 h1 = f1 - g1; + crypto_int32 h2 = f2 - g2; + crypto_int32 h3 = f3 - g3; + crypto_int32 h4 = f4 - g4; + crypto_int32 h5 = f5 - g5; + crypto_int32 h6 = f6 - g6; + crypto_int32 h7 = f7 - g7; + crypto_int32 h8 = f8 - g8; + crypto_int32 h9 = f9 - g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_tobytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_tobytes.c new file mode 100644 index 000000000..0a63baf9c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_tobytes.c @@ -0,0 +1,119 @@ +#include "fe.h" + +/* +Preconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + +Write p=2^255-19; q=floor(h/p). +Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). + +Proof: + Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. + Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. + + Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). + Then 0> 25; + q = (h0 + q) >> 26; + q = (h1 + q) >> 25; + q = (h2 + q) >> 26; + q = (h3 + q) >> 25; + q = (h4 + q) >> 26; + q = (h5 + q) >> 25; + q = (h6 + q) >> 26; + q = (h7 + q) >> 25; + q = (h8 + q) >> 26; + q = (h9 + q) >> 25; + + /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ + h0 += 19 * q; + /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ + + carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26; + carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; + carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; + carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; + carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; + carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; + carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; + carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; + carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; + carry9 = h9 >> 25; h9 -= carry9 << 25; + /* h10 = carry9 */ + + /* + Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. + Have h0+...+2^230 h9 between 0 and 2^255-1; + evidently 2^255 h10-2^255 q = 0. + Goal: Output h0+...+2^230 h9. + */ + + s[0] = h0 >> 0; + s[1] = h0 >> 8; + s[2] = h0 >> 16; + s[3] = (h0 >> 24) | (h1 << 2); + s[4] = h1 >> 6; + s[5] = h1 >> 14; + s[6] = (h1 >> 22) | (h2 << 3); + s[7] = h2 >> 5; + s[8] = h2 >> 13; + s[9] = (h2 >> 21) | (h3 << 5); + s[10] = h3 >> 3; + s[11] = h3 >> 11; + s[12] = (h3 >> 19) | (h4 << 6); + s[13] = h4 >> 2; + s[14] = h4 >> 10; + s[15] = h4 >> 18; + s[16] = h5 >> 0; + s[17] = h5 >> 8; + s[18] = h5 >> 16; + s[19] = (h5 >> 24) | (h6 << 1); + s[20] = h6 >> 7; + s[21] = h6 >> 15; + s[22] = (h6 >> 23) | (h7 << 3); + s[23] = h7 >> 5; + s[24] = h7 >> 13; + s[25] = (h7 >> 21) | (h8 << 4); + s[26] = h8 >> 4; + s[27] = h8 >> 12; + s[28] = (h8 >> 20) | (h9 << 6); + s[29] = h9 >> 2; + s[30] = h9 >> 10; + s[31] = h9 >> 18; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge.h new file mode 100644 index 000000000..55e95f95b --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge.h @@ -0,0 +1,95 @@ +#ifndef GE_H +#define GE_H + +/* +ge means group element. + +Here the group is the set of pairs (x,y) of field elements (see fe.h) +satisfying -x^2 + y^2 = 1 + d x^2y^2 +where d = -121665/121666. + +Representations: + ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z + ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT + ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T + ge_precomp (Duif): (y+x,y-x,2dxy) +*/ + +#include "fe.h" + +typedef struct { + fe X; + fe Y; + fe Z; +} ge_p2; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p3; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p1p1; + +typedef struct { + fe yplusx; + fe yminusx; + fe xy2d; +} ge_precomp; + +typedef struct { + fe YplusX; + fe YminusX; + fe Z; + fe T2d; +} ge_cached; + +#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime +#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes +#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes + +#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0 +#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0 +#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0 +#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2 +#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached +#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2 +#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3 +#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl +#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl + +#define ge_madd crypto_sign_ed25519_ref10_ge_madd +#define ge_msub crypto_sign_ed25519_ref10_ge_msub +#define ge_add crypto_sign_ed25519_ref10_ge_add +#define ge_sub crypto_sign_ed25519_ref10_ge_sub +#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base +#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime + +extern void ge_tobytes(unsigned char *,const ge_p2 *); +extern void ge_p3_tobytes(unsigned char *,const ge_p3 *); +extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); + +extern void ge_p2_0(ge_p2 *); +extern void ge_p3_0(ge_p3 *); +extern void ge_precomp_0(ge_precomp *); +extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *); +extern void ge_p3_to_cached(ge_cached *,const ge_p3 *); +extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); +extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); +extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); +extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); + +extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); +extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); +extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); +extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); +extern void ge_scalarmult_base(ge_p3 *,const unsigned char *); +extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *); + +#endif diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.c new file mode 100644 index 000000000..da7ff5d2e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +#include "ge_add.h" +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.h new file mode 100644 index 000000000..7481f8ffb --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.h @@ -0,0 +1,97 @@ + +/* qhasm: enter ge_add */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*YpX2 */ +/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YplusX); */ +fe_mul(r->Z,r->X,q->YplusX); + +/* qhasm: B = YmX1*YmX2 */ +/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YminusX); */ +fe_mul(r->Y,r->Y,q->YminusX); + +/* qhasm: C = T2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ +fe_mul(r->T,q->T2d,p->T); + +/* qhasm: ZZ = Z1*Z2 */ +/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ +fe_mul(r->X,p->Z,q->Z); + +/* qhasm: D = 2*ZZ */ +/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ +fe_add(t0,r->X,r->X); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D+C */ +/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ +fe_add(r->Z,t0,r->T); + +/* qhasm: T3 = D-C */ +/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ +fe_sub(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.q new file mode 100644 index 000000000..a6572ab0f --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.q @@ -0,0 +1,49 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,> 3] >> (i & 7)); + + for (i = 0;i < 256;++i) + if (r[i]) { + for (b = 1;b <= 6 && i + b < 256;++b) { + if (r[i + b]) { + if (r[i] + (r[i + b] << b) <= 15) { + r[i] += r[i + b] << b; r[i + b] = 0; + } else if (r[i] - (r[i + b] << b) >= -15) { + r[i] -= r[i + b] << b; + for (k = i + b;k < 256;++k) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else + break; + } + } + } + +} + +static ge_precomp Bi[8] = { +#include "base2.h" +} ; + +/* +r = a * A + b * B +where a = a[0]+256*a[1]+...+256^31 a[31]. +and b = b[0]+256*b[1]+...+256^31 b[31]. +B is the Ed25519 base point (x,4/5) with x positive. +*/ + +void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b) +{ + signed char aslide[256]; + signed char bslide[256]; + ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ + ge_p1p1 t; + ge_p3 u; + ge_p3 A2; + int i; + + slide(aslide,a); + slide(bslide,b); + + ge_p3_to_cached(&Ai[0],A); + ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); + ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); + ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); + ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); + ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); + ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); + ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); + ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); + + ge_p2_0(r); + + for (i = 255;i >= 0;--i) { + if (aslide[i] || bslide[i]) break; + } + + for (;i >= 0;--i) { + ge_p2_dbl(&t,r); + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u,&t); + ge_add(&t,&u,&Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u,&t); + ge_sub(&t,&u,&Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u,&t); + ge_madd(&t,&u,&Bi[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u,&t); + ge_msub(&t,&u,&Bi[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r,&t); + } +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_frombytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_frombytes.c new file mode 100644 index 000000000..1a059ee93 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_frombytes.c @@ -0,0 +1,50 @@ +#include "ge.h" + +static const fe d = { +#include "d.h" +} ; + +static const fe sqrtm1 = { +#include "sqrtm1.h" +} ; + +int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) +{ + fe u; + fe v; + fe v3; + fe vxx; + fe check; + + fe_frombytes(h->Y,s); + fe_1(h->Z); + fe_sq(u,h->Y); + fe_mul(v,u,d); + fe_sub(u,u,h->Z); /* u = y^2-1 */ + fe_add(v,v,h->Z); /* v = dy^2+1 */ + + fe_sq(v3,v); + fe_mul(v3,v3,v); /* v3 = v^3 */ + fe_sq(h->X,v3); + fe_mul(h->X,h->X,v); + fe_mul(h->X,h->X,u); /* x = uv^7 */ + + fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ + fe_mul(h->X,h->X,v3); + fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ + + fe_sq(vxx,h->X); + fe_mul(vxx,vxx,v); + fe_sub(check,vxx,u); /* vx^2-u */ + if (fe_isnonzero(check)) { + fe_add(check,vxx,u); /* vx^2+u */ + if (fe_isnonzero(check)) return -1; + fe_mul(h->X,h->X,sqrtm1); + } + + if (fe_isnegative(h->X) == (s[31] >> 7)) + fe_neg(h->X,h->X); + + fe_mul(h->T,h->X,h->Y); + return 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.c new file mode 100644 index 000000000..622571774 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) +{ + fe t0; +#include "ge_madd.h" +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.h new file mode 100644 index 000000000..ecae84952 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.h @@ -0,0 +1,88 @@ + +/* qhasm: enter ge_madd */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ypx2 */ + +/* qhasm: fe ymx2 */ + +/* qhasm: fe xy2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*ypx2 */ +/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yplusx); */ +fe_mul(r->Z,r->X,q->yplusx); + +/* qhasm: B = YmX1*ymx2 */ +/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yminusx); */ +fe_mul(r->Y,r->Y,q->yminusx); + +/* qhasm: C = xy2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ +fe_mul(r->T,q->xy2d,p->T); + +/* qhasm: D = 2*Z1 */ +/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ +fe_add(t0,p->Z,p->Z); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D+C */ +/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ +fe_add(r->Z,t0,r->T); + +/* qhasm: T3 = D-C */ +/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ +fe_sub(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.q new file mode 100644 index 000000000..aa3db454e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.q @@ -0,0 +1,46 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,YpX1=fe#1,YpX1=r->X,Y,X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*ymx2 */ +/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yminusx); */ +fe_mul(r->Z,r->X,q->yminusx); + +/* qhasm: B = YmX1*ypx2 */ +/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yplusx); */ +fe_mul(r->Y,r->Y,q->yplusx); + +/* qhasm: C = xy2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ +fe_mul(r->T,q->xy2d,p->T); + +/* qhasm: D = 2*Z1 */ +/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ +fe_add(t0,p->Z,p->Z); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D-C */ +/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ +fe_sub(r->Z,t0,r->T); + +/* qhasm: T3 = D+C */ +/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ +fe_add(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.q new file mode 100644 index 000000000..e3cadd882 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.q @@ -0,0 +1,46 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,X,p->X,p->T); + fe_mul(r->Y,p->Y,p->Z); + fe_mul(r->Z,p->Z,p->T); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p1p1_to_p3.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p1p1_to_p3.c new file mode 100644 index 000000000..2f57b1096 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p1p1_to_p3.c @@ -0,0 +1,13 @@ +#include "ge.h" + +/* +r = p +*/ + +extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p) +{ + fe_mul(r->X,p->X,p->T); + fe_mul(r->Y,p->Y,p->Z); + fe_mul(r->Z,p->Z,p->T); + fe_mul(r->T,p->X,p->Y); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_0.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_0.c new file mode 100644 index 000000000..6191d1e6e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_0.c @@ -0,0 +1,8 @@ +#include "ge.h" + +void ge_p2_0(ge_p2 *h) +{ + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.c new file mode 100644 index 000000000..2e332b5ce --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = 2 * p +*/ + +void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) +{ + fe t0; +#include "ge_p2_dbl.h" +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.h new file mode 100644 index 000000000..128efed90 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.h @@ -0,0 +1,73 @@ + +/* qhasm: enter ge_p2_dbl */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe A */ + +/* qhasm: fe AA */ + +/* qhasm: fe XX */ + +/* qhasm: fe YY */ + +/* qhasm: fe B */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: XX=X1^2 */ +/* asm 1: fe_sq(>XX=fe#1,XX=r->X,X); */ +fe_sq(r->X,p->X); + +/* qhasm: YY=Y1^2 */ +/* asm 1: fe_sq(>YY=fe#3,YY=r->Z,Y); */ +fe_sq(r->Z,p->Y); + +/* qhasm: B=2*Z1^2 */ +/* asm 1: fe_sq2(>B=fe#4,B=r->T,Z); */ +fe_sq2(r->T,p->Z); + +/* qhasm: A=X1+Y1 */ +/* asm 1: fe_add(>A=fe#2,A=r->Y,X,Y); */ +fe_add(r->Y,p->X,p->Y); + +/* qhasm: AA=A^2 */ +/* asm 1: fe_sq(>AA=fe#5,AA=t0,Y); */ +fe_sq(t0,r->Y); + +/* qhasm: Y3=YY+XX */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,X); */ +fe_add(r->Y,r->Z,r->X); + +/* qhasm: Z3=YY-XX */ +/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,Z,X); */ +fe_sub(r->Z,r->Z,r->X); + +/* qhasm: X3=AA-Y3 */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Y); */ +fe_sub(r->X,t0,r->Y); + +/* qhasm: T3=B-Z3 */ +/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T,Z); */ +fe_sub(r->T,r->T,r->Z); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.q new file mode 100644 index 000000000..170d42f9a --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.q @@ -0,0 +1,41 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_sq2(>h,h=fe:asm/fe_add(>h,X); + fe_1(h->Y); + fe_1(h->Z); + fe_0(h->T); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_dbl.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_dbl.c new file mode 100644 index 000000000..0d8a05915 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_dbl.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = 2 * p +*/ + +void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p) +{ + ge_p2 q; + ge_p3_to_p2(&q,p); + ge_p2_dbl(r,&q); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_cached.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_cached.c new file mode 100644 index 000000000..bde64228c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_cached.c @@ -0,0 +1,17 @@ +#include "ge.h" + +/* +r = p +*/ + +static const fe d2 = { +#include "d2.h" +} ; + +extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p) +{ + fe_add(r->YplusX,p->Y,p->X); + fe_sub(r->YminusX,p->Y,p->X); + fe_copy(r->Z,p->Z); + fe_mul(r->T2d,p->T,d2); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_p2.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_p2.c new file mode 100644 index 000000000..e532a9e4c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_p2.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = p +*/ + +extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p) +{ + fe_copy(r->X,p->X); + fe_copy(r->Y,p->Y); + fe_copy(r->Z,p->Z); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_tobytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_tobytes.c new file mode 100644 index 000000000..21cb2fc65 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_tobytes.c @@ -0,0 +1,14 @@ +#include "ge.h" + +void ge_p3_tobytes(unsigned char *s,const ge_p3 *h) +{ + fe recip; + fe x; + fe y; + + fe_invert(recip,h->Z); + fe_mul(x,h->X,recip); + fe_mul(y,h->Y,recip); + fe_tobytes(s,y); + s[31] ^= fe_isnegative(x) << 7; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_precomp_0.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_precomp_0.c new file mode 100644 index 000000000..2e218861d --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_precomp_0.c @@ -0,0 +1,8 @@ +#include "ge.h" + +void ge_precomp_0(ge_precomp *h) +{ + fe_1(h->yplusx); + fe_1(h->yminusx); + fe_0(h->xy2d); +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_scalarmult_base.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_scalarmult_base.c new file mode 100644 index 000000000..421e4fa0f --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_scalarmult_base.c @@ -0,0 +1,105 @@ +#include "ge.h" +#include "crypto_uint32.h" + +static unsigned char equal(signed char b,signed char c) +{ + unsigned char ub = b; + unsigned char uc = c; + unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ + crypto_uint32 y = x; /* 0: yes; 1..255: no */ + y -= 1; /* 4294967295: yes; 0..254: no */ + y >>= 31; /* 1: yes; 0: no */ + return y; +} + +static unsigned char negative(signed char b) +{ + unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ + x >>= 63; /* 1: yes; 0: no */ + return x; +} + +static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b) +{ + fe_cmov(t->yplusx,u->yplusx,b); + fe_cmov(t->yminusx,u->yminusx,b); + fe_cmov(t->xy2d,u->xy2d,b); +} + +/* base[i][j] = (j+1)*256^i*B */ +static ge_precomp base[32][8] = { +#include "base.h" +} ; + +static void select(ge_precomp *t,int pos,signed char b) +{ + ge_precomp minust; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 1); + + ge_precomp_0(t); + cmov(t,&base[pos][0],equal(babs,1)); + cmov(t,&base[pos][1],equal(babs,2)); + cmov(t,&base[pos][2],equal(babs,3)); + cmov(t,&base[pos][3],equal(babs,4)); + cmov(t,&base[pos][4],equal(babs,5)); + cmov(t,&base[pos][5],equal(babs,6)); + cmov(t,&base[pos][6],equal(babs,7)); + cmov(t,&base[pos][7],equal(babs,8)); + fe_copy(minust.yplusx,t->yminusx); + fe_copy(minust.yminusx,t->yplusx); + fe_neg(minust.xy2d,t->xy2d); + cmov(t,&minust,bnegative); +} + +/* +h = a * B +where a = a[0]+256*a[1]+...+256^31 a[31] +B is the Ed25519 base point (x,4/5) with x positive. + +Preconditions: + a[31] <= 127 +*/ + +void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) +{ + signed char e[64]; + signed char carry; + ge_p1p1 r; + ge_p2 s; + ge_precomp t; + int i; + + for (i = 0;i < 32;++i) { + e[2 * i + 0] = (a[i] >> 0) & 15; + e[2 * i + 1] = (a[i] >> 4) & 15; + } + /* each e[i] is between 0 and 15 */ + /* e[63] is between 0 and 7 */ + + carry = 0; + for (i = 0;i < 63;++i) { + e[i] += carry; + carry = e[i] + 8; + carry >>= 4; + e[i] -= carry << 4; + } + e[63] += carry; + /* each e[i] is between -8 and 8 */ + + ge_p3_0(h); + for (i = 1;i < 64;i += 2) { + select(&t,i / 2,e[i]); + ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); + } + + ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r); + + for (i = 0;i < 64;i += 2) { + select(&t,i / 2,e[i]); + ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); + } +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.c new file mode 100644 index 000000000..69f3d5406 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p - q +*/ + +void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +#include "ge_sub.h" +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.h new file mode 100644 index 000000000..b4ef1f5dd --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.h @@ -0,0 +1,97 @@ + +/* qhasm: enter ge_sub */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*YmX2 */ +/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YminusX); */ +fe_mul(r->Z,r->X,q->YminusX); + +/* qhasm: B = YmX1*YpX2 */ +/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YplusX); */ +fe_mul(r->Y,r->Y,q->YplusX); + +/* qhasm: C = T2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ +fe_mul(r->T,q->T2d,p->T); + +/* qhasm: ZZ = Z1*Z2 */ +/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ +fe_mul(r->X,p->Z,q->Z); + +/* qhasm: D = 2*ZZ */ +/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ +fe_add(t0,r->X,r->X); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D-C */ +/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ +fe_sub(r->Z,t0,r->T); + +/* qhasm: T3 = D+C */ +/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ +fe_add(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.q new file mode 100644 index 000000000..2779a4a20 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.q @@ -0,0 +1,49 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: +return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,Z); + fe_mul(x,h->X,recip); + fe_mul(y,h->Y,recip); + fe_tobytes(s,y); + s[31] ^= fe_isnegative(x) << 7; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/keypair.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/keypair.c new file mode 100644 index 000000000..ac6cea2b7 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/keypair.c @@ -0,0 +1,23 @@ +#include +#include "randombytes.h" +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "ge.h" + +int crypto_sign_keypair(unsigned char *pk,unsigned char *sk) +{ + unsigned char az[64]; + ge_p3 A; + + randombytes(sk,32); + crypto_hash_sha512(az,sk,32); + az[0] &= 248; + az[31] &= 63; + az[31] |= 64; + + ge_scalarmult_base(&A,az); + ge_p3_tobytes(pk,&A); + + memmove(sk + 32,pk,32); + return 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/open.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/open.c new file mode 100644 index 000000000..1ec4cd2bf --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/open.c @@ -0,0 +1,48 @@ +#include +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "crypto_verify_32.h" +#include "ge.h" +#include "sc.h" + +int crypto_sign_open( + unsigned char *m,unsigned long long *mlen, + const unsigned char *sm,unsigned long long smlen, + const unsigned char *pk +) +{ + unsigned char pkcopy[32]; + unsigned char rcopy[32]; + unsigned char scopy[32]; + unsigned char h[64]; + unsigned char rcheck[32]; + ge_p3 A; + ge_p2 R; + + if (smlen < 64) goto badsig; + if (sm[63] & 224) goto badsig; + if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig; + + memmove(pkcopy,pk,32); + memmove(rcopy,sm,32); + memmove(scopy,sm + 32,32); + + memmove(m,sm,smlen); + memmove(m + 32,pkcopy,32); + crypto_hash_sha512(h,m,smlen); + sc_reduce(h); + + ge_double_scalarmult_vartime(&R,h,&A,scopy); + ge_tobytes(rcheck,&R); + if (crypto_verify_32(rcheck,rcopy) == 0) { + memmove(m,m + 64,smlen - 64); + memset(m + smlen - 64,0,64); + *mlen = smlen - 64; + return 0; + } + +badsig: + *mlen = -1; + memset(m,0,smlen); + return -1; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow22523.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow22523.h new file mode 100644 index 000000000..60ffe0d34 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow22523.h @@ -0,0 +1,160 @@ + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_252_2 */ + +/* qhasm: fe z_252_3 */ + +/* qhasm: enter pow22523 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#1,z22=fe#1,>z22=fe#1); */ +/* asm 2: fe_sq(>z22=t0,z22=t0,>z22=t0); */ +fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#1,z_5_0=t0,z_10_5=fe#2,z_10_5=fe#2,>z_10_5=fe#2); */ +/* asm 2: fe_sq(>z_10_5=t1,z_10_5=t1,>z_10_5=t1); */ +fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#1,z_10_0=t0,z_20_10=fe#2,z_20_10=fe#2,>z_20_10=fe#2); */ +/* asm 2: fe_sq(>z_20_10=t1,z_20_10=t1,>z_20_10=t1); */ +fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#2,z_20_0=t1,z_40_20=fe#3,z_40_20=fe#3,>z_40_20=fe#3); */ +/* asm 2: fe_sq(>z_40_20=t2,z_40_20=t2,>z_40_20=t2); */ +fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#2,z_40_0=t1,z_50_10=fe#2,z_50_10=fe#2,>z_50_10=fe#2); */ +/* asm 2: fe_sq(>z_50_10=t1,z_50_10=t1,>z_50_10=t1); */ +fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#1,z_50_0=t0,z_100_50=fe#2,z_100_50=fe#2,>z_100_50=fe#2); */ +/* asm 2: fe_sq(>z_100_50=t1,z_100_50=t1,>z_100_50=t1); */ +fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#2,z_100_0=t1,z_200_100=fe#3,z_200_100=fe#3,>z_200_100=fe#3); */ +/* asm 2: fe_sq(>z_200_100=t2,z_200_100=t2,>z_200_100=t2); */ +fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#2,z_200_0=t1,z_250_50=fe#2,z_250_50=fe#2,>z_250_50=fe#2); */ +/* asm 2: fe_sq(>z_250_50=t1,z_250_50=t1,>z_250_50=t1); */ +fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#1,z_250_0=t0,z_252_2=fe#1,z_252_2=fe#1,>z_252_2=fe#1); */ +/* asm 2: fe_sq(>z_252_2=t0,z_252_2=t0,>z_252_2=t0); */ +fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); + +/* qhasm: z_252_3 = z_252_2*z1 */ +/* asm 1: fe_mul(>z_252_3=fe#12,z_252_3=out,z1=fe#11: +return:nofallthrough:h=fe:asm/fe_mul(>h,h=fe:#k:asm/fe_sq(>h,h,>h);: + +: + +fe z1 +fe z2 +fe z8 +fe z9 +fe z11 +fe z22 +fe z_5_0 +fe z_10_5 +fe z_10_0 +fe z_20_10 +fe z_20_0 +fe z_40_20 +fe z_40_0 +fe z_50_10 +fe z_50_0 +fe z_100_50 +fe z_100_0 +fe z_200_100 +fe z_200_0 +fe z_250_50 +fe z_250_0 +fe z_252_2 +fe z_252_3 + +enter pow22523 + +z2 = z1^2^1 +z8 = z2^2^2 +z9 = z1*z8 +z11 = z2*z9 +z22 = z11^2^1 +z_5_0 = z9*z22 +z_10_5 = z_5_0^2^5 +z_10_0 = z_10_5*z_5_0 +z_20_10 = z_10_0^2^10 +z_20_0 = z_20_10*z_10_0 +z_40_20 = z_20_0^2^20 +z_40_0 = z_40_20*z_20_0 +z_50_10 = z_40_0^2^10 +z_50_0 = z_50_10*z_10_0 +z_100_50 = z_50_0^2^50 +z_100_0 = z_100_50*z_50_0 +z_200_100 = z_100_0^2^100 +z_200_0 = z_200_100*z_100_0 +z_250_50 = z_200_0^2^50 +z_250_0 = z_250_50*z_50_0 +z_252_2 = z_250_0^2^2 +z_252_3 = z_252_2*z1 + +return diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow225521.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow225521.h new file mode 100644 index 000000000..109df779a --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow225521.h @@ -0,0 +1,160 @@ + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_255_5 */ + +/* qhasm: fe z_255_21 */ + +/* qhasm: enter pow225521 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#3,z22=fe#3,>z22=fe#3); */ +/* asm 2: fe_sq(>z22=t2,z22=t2,>z22=t2); */ +fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#2,z_5_0=t1,z_10_5=fe#3,z_10_5=fe#3,>z_10_5=fe#3); */ +/* asm 2: fe_sq(>z_10_5=t2,z_10_5=t2,>z_10_5=t2); */ +fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#2,z_10_0=t1,z_20_10=fe#3,z_20_10=fe#3,>z_20_10=fe#3); */ +/* asm 2: fe_sq(>z_20_10=t2,z_20_10=t2,>z_20_10=t2); */ +fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#3,z_20_0=t2,z_40_20=fe#4,z_40_20=fe#4,>z_40_20=fe#4); */ +/* asm 2: fe_sq(>z_40_20=t3,z_40_20=t3,>z_40_20=t3); */ +fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#3,z_40_0=t2,z_50_10=fe#3,z_50_10=fe#3,>z_50_10=fe#3); */ +/* asm 2: fe_sq(>z_50_10=t2,z_50_10=t2,>z_50_10=t2); */ +fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#2,z_50_0=t1,z_100_50=fe#3,z_100_50=fe#3,>z_100_50=fe#3); */ +/* asm 2: fe_sq(>z_100_50=t2,z_100_50=t2,>z_100_50=t2); */ +fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#3,z_100_0=t2,z_200_100=fe#4,z_200_100=fe#4,>z_200_100=fe#4); */ +/* asm 2: fe_sq(>z_200_100=t3,z_200_100=t3,>z_200_100=t3); */ +fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#3,z_200_0=t2,z_250_50=fe#3,z_250_50=fe#3,>z_250_50=fe#3); */ +/* asm 2: fe_sq(>z_250_50=t2,z_250_50=t2,>z_250_50=t2); */ +fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#2,z_250_0=t1,z_255_5=fe#2,z_255_5=fe#2,>z_255_5=fe#2); */ +/* asm 2: fe_sq(>z_255_5=t1,z_255_5=t1,>z_255_5=t1); */ +fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_255_21 = z_255_5*z11 */ +/* asm 1: fe_mul(>z_255_21=fe#12,z_255_21=out,z1=fe#11: +return:nofallthrough:h=fe:asm/fe_mul(>h,h=fe:#k:asm/fe_sq(>h,h,>h);: + +: + +fe z1 +fe z2 +fe z8 +fe z9 +fe z11 +fe z22 +fe z_5_0 +fe z_10_5 +fe z_10_0 +fe z_20_10 +fe z_20_0 +fe z_40_20 +fe z_40_0 +fe z_50_10 +fe z_50_0 +fe z_100_50 +fe z_100_0 +fe z_200_100 +fe z_200_0 +fe z_250_50 +fe z_250_0 +fe z_255_5 +fe z_255_21 + +enter pow225521 + +z2 = z1^2^1 +z8 = z2^2^2 +z9 = z1*z8 +z11 = z2*z9 +z22 = z11^2^1 +z_5_0 = z9*z22 +z_10_5 = z_5_0^2^5 +z_10_0 = z_10_5*z_5_0 +z_20_10 = z_10_0^2^10 +z_20_0 = z_20_10*z_10_0 +z_40_20 = z_20_0^2^20 +z_40_0 = z_40_20*z_20_0 +z_50_10 = z_40_0^2^10 +z_50_0 = z_50_10*z_10_0 +z_100_50 = z_50_0^2^50 +z_100_0 = z_100_50*z_50_0 +z_200_100 = z_100_0^2^100 +z_200_0 = z_200_100*z_100_0 +z_250_50 = z_200_0^2^50 +z_250_0 = z_250_50*z_50_0 +z_255_5 = z_250_0^2^5 +z_255_21 = z_255_5*z11 + +return diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/q2h.sh b/src/crypto/crypto_ops_builder/ref10CommentedCombined/q2h.sh new file mode 100644 index 000000000..47ec5110e --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/q2h.sh @@ -0,0 +1,4 @@ +#!/bin/sh +sed 's/^#.*//' \ +| qhasm-generic \ +| sed 's_//\(.*\)$_/*\1 */_' diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc.h new file mode 100644 index 000000000..d32ed2e8c --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc.h @@ -0,0 +1,15 @@ +#ifndef SC_H +#define SC_H + +/* +The set of scalars is \Z/l +where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +#define sc_reduce crypto_sign_ed25519_ref10_sc_reduce +#define sc_muladd crypto_sign_ed25519_ref10_sc_muladd + +extern void sc_reduce(unsigned char *); +extern void sc_muladd(unsigned char *,const unsigned char *,const unsigned char *,const unsigned char *); + +#endif diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_muladd.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_muladd.c new file mode 100644 index 000000000..6f1e9d02d --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_muladd.c @@ -0,0 +1,368 @@ +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Input: + a[0]+256*a[1]+...+256^31*a[31] = a + b[0]+256*b[1]+...+256^31*b[31] = b + c[0]+256*c[1]+...+256^31*c[31] = c + +Output: + s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l + where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c) +{ + crypto_int64 a0 = 2097151 & load_3(a); + crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5); + crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2); + crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7); + crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4); + crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1); + crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6); + crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3); + crypto_int64 a8 = 2097151 & load_3(a + 21); + crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5); + crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2); + crypto_int64 a11 = (load_4(a + 28) >> 7); + crypto_int64 b0 = 2097151 & load_3(b); + crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5); + crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2); + crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7); + crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4); + crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1); + crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6); + crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3); + crypto_int64 b8 = 2097151 & load_3(b + 21); + crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5); + crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2); + crypto_int64 b11 = (load_4(b + 28) >> 7); + crypto_int64 c0 = 2097151 & load_3(c); + crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5); + crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2); + crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7); + crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4); + crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1); + crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6); + crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3); + crypto_int64 c8 = 2097151 & load_3(c + 21); + crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5); + crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2); + crypto_int64 c11 = (load_4(c + 28) >> 7); + crypto_int64 s0; + crypto_int64 s1; + crypto_int64 s2; + crypto_int64 s3; + crypto_int64 s4; + crypto_int64 s5; + crypto_int64 s6; + crypto_int64 s7; + crypto_int64 s8; + crypto_int64 s9; + crypto_int64 s10; + crypto_int64 s11; + crypto_int64 s12; + crypto_int64 s13; + crypto_int64 s14; + crypto_int64 s15; + crypto_int64 s16; + crypto_int64 s17; + crypto_int64 s18; + crypto_int64 s19; + crypto_int64 s20; + crypto_int64 s21; + crypto_int64 s22; + crypto_int64 s23; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + crypto_int64 carry17; + crypto_int64 carry18; + crypto_int64 carry19; + crypto_int64 carry20; + crypto_int64 carry21; + crypto_int64 carry22; + + s0 = c0 + a0*b0; + s1 = c1 + a0*b1 + a1*b0; + s2 = c2 + a0*b2 + a1*b1 + a2*b0; + s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0; + s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0; + s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0; + s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0; + s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0; + s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0; + s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0; + s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0; + s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0; + s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1; + s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2; + s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3; + s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4; + s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5; + s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6; + s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7; + s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8; + s20 = a9*b11 + a10*b10 + a11*b9; + s21 = a10*b11 + a11*b10; + s22 = a11*b11; + s23 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; + carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; + carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; + carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; + carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + s23 = 0; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + s22 = 0; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + s21 = 0; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + s20 = 0; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + s19 = 0; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + s18 = 0; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + s17 = 0; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + s16 = 0; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + s15 = 0; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + s14 = 0; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + s13 = 0; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_reduce.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_reduce.c new file mode 100644 index 000000000..d01f5a573 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_reduce.c @@ -0,0 +1,275 @@ +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Input: + s[0]+256*s[1]+...+256^63*s[63] = s + +Output: + s[0]+256*s[1]+...+256^31*s[31] = s mod l + where l = 2^252 + 27742317777372353535851937790883648493. + Overwrites s in place. +*/ + +void sc_reduce(unsigned char *s) +{ + crypto_int64 s0 = 2097151 & load_3(s); + crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5); + crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2); + crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7); + crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4); + crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1); + crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6); + crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3); + crypto_int64 s8 = 2097151 & load_3(s + 21); + crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5); + crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2); + crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7); + crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4); + crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1); + crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6); + crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3); + crypto_int64 s16 = 2097151 & load_3(s + 42); + crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5); + crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2); + crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7); + crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4); + crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1); + crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6); + crypto_int64 s23 = (load_4(s + 60) >> 3); + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + s23 = 0; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + s22 = 0; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + s21 = 0; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + s20 = 0; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + s19 = 0; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + s18 = 0; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + s17 = 0; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + s16 = 0; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + s15 = 0; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + s14 = 0; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + s13 = 0; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_sub.xmr.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_sub.xmr.c new file mode 100644 index 000000000..cd4a50ff0 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_sub.xmr.c @@ -0,0 +1,504 @@ +/* + * sc_sub, sc_mulsub, sc_mul + * + * (These are from the old code as well) + */ + + +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +void sc_sub(unsigned char *s, const unsigned char *a, const unsigned char *b) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t s0 = a0 - b0; + int64_t s1 = a1 - b1; + int64_t s2 = a2 - b2; + int64_t s3 = a3 - b3; + int64_t s4 = a4 - b4; + int64_t s5 = a5 - b5; + int64_t s6 = a6 - b6; + int64_t s7 = a7 - b7; + int64_t s8 = a8 - b8; + int64_t s9 = a9 - b9; + int64_t s10 = a10 - b10; + int64_t s11 = a11 - b11; + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +/* +Input: + a[0]+256*a[1]+...+256^31*a[31] = a + b[0]+256*b[1]+...+256^31*b[31] = b + c[0]+256*c[1]+...+256^31*c[31] = c + +Output: + s[0]+256*s[1]+...+256^31*s[31] = (c-ab) mod l + where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +//x +void sc_mulsub(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t c0 = 2097151 & load_3(c); + int64_t c1 = 2097151 & (load_4(c + 2) >> 5); + int64_t c2 = 2097151 & (load_3(c + 5) >> 2); + int64_t c3 = 2097151 & (load_4(c + 7) >> 7); + int64_t c4 = 2097151 & (load_4(c + 10) >> 4); + int64_t c5 = 2097151 & (load_3(c + 13) >> 1); + int64_t c6 = 2097151 & (load_4(c + 15) >> 6); + int64_t c7 = 2097151 & (load_3(c + 18) >> 3); + int64_t c8 = 2097151 & load_3(c + 21); + int64_t c9 = 2097151 & (load_4(c + 23) >> 5); + int64_t c10 = 2097151 & (load_3(c + 26) >> 2); + int64_t c11 = (load_4(c + 28) >> 7); + int64_t s0; + int64_t s1; + int64_t s2; + int64_t s3; + int64_t s4; + int64_t s5; + int64_t s6; + int64_t s7; + int64_t s8; + int64_t s9; + int64_t s10; + int64_t s11; + int64_t s12; + int64_t s13; + int64_t s14; + int64_t s15; + int64_t s16; + int64_t s17; + int64_t s18; + int64_t s19; + int64_t s20; + int64_t s21; + int64_t s22; + int64_t s23; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + int64_t carry12; + int64_t carry13; + int64_t carry14; + int64_t carry15; + int64_t carry16; + int64_t carry17; + int64_t carry18; + int64_t carry19; + int64_t carry20; + int64_t carry21; + int64_t carry22; + + s0 = c0 - a0*b0; + s1 = c1 - (a0*b1 + a1*b0); + s2 = c2 - (a0*b2 + a1*b1 + a2*b0); + s3 = c3 - (a0*b3 + a1*b2 + a2*b1 + a3*b0); + s4 = c4 - (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0); + s5 = c5 - (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0); + s6 = c6 - (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0); + s7 = c7 - (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0); + s8 = c8 - (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0); + s9 = c9 - (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0); + s10 = c10 - (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0); + s11 = c11 - (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0); + s12 = -(a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1); + s13 = -(a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2); + s14 = -(a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3); + s15 = -(a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4); + s16 = -(a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5); + s17 = -(a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6); + s18 = -(a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7); + s19 = -(a8*b11 + a9*b10 + a10*b9 + a11*b8); + s20 = -(a9*b11 + a10*b10 + a11*b9); + s21 = -(a10*b11 + a11*b10); + s22 = -a11*b11; + s23 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; + carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; + carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; + carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; + carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + + diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/scrap.txt b/src/crypto/crypto_ops_builder/ref10CommentedCombined/scrap.txt new file mode 100644 index 000000000..9a02605db --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/scrap.txt @@ -0,0 +1,53 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; + + + + + + + + + + + + + + + + + + + + + +fe_add(r->X,p->Y,p->X); + +fe_sub(r->Y,p->Y,p->X); + +fe_mul(r->Z,r->X,q->YplusX); + +fe_mul(r->Y,r->Y,q->YminusX); + +fe_mul(r->T,q->T2d,p->T); + +fe_mul(r->X,p->Z,q->Z); + +fe_add(t0,r->X,r->X); + +fe_sub(r->X,r->Z,r->Y); + +fe_add(r->Y,r->Z,r->Y); + +fe_add(r->Z,t0,r->T); + +fe_sub(r->T,t0,r->T); + +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/sign.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sign.c new file mode 100644 index 000000000..de53742a6 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sign.c @@ -0,0 +1,41 @@ +#include +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "ge.h" +#include "sc.h" + +int crypto_sign( + unsigned char *sm,unsigned long long *smlen, + const unsigned char *m,unsigned long long mlen, + const unsigned char *sk +) +{ + unsigned char pk[32]; + unsigned char az[64]; + unsigned char nonce[64]; + unsigned char hram[64]; + ge_p3 R; + + memmove(pk,sk + 32,32); + + crypto_hash_sha512(az,sk,32); + az[0] &= 248; + az[31] &= 63; + az[31] |= 64; + + *smlen = mlen + 64; + memmove(sm + 64,m,mlen); + memmove(sm + 32,az + 32,32); + crypto_hash_sha512(nonce,sm + 32,mlen + 32); + memmove(sm + 32,pk,32); + + sc_reduce(nonce); + ge_scalarmult_base(&R,nonce); + ge_p3_tobytes(sm,&R); + + crypto_hash_sha512(hram,sm,mlen + 64); + sc_reduce(hram); + sc_muladd(sm + 32,hram,az,nonce); + + return 0; +} diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.h new file mode 100644 index 000000000..d8caa23b6 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.h @@ -0,0 +1 @@ +-32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482 diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.py new file mode 100644 index 000000000..9a47fbc12 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +I = expmod(2,(q-1)/4,q) +print radix255(I) diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/test.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/test.py new file mode 100644 index 000000000..10fa408ce --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/test.py @@ -0,0 +1,5 @@ +import os +l = "(((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1;" + +os.system("sed -i 's/crypto_verify_32(s, zero)/"+l+"/' crypto-ops.c") + diff --git a/src/crypto/crypto_ops_builder/ref10CommentedCombined/xmrSpecificOld.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/xmrSpecificOld.c new file mode 100644 index 000000000..e6567c120 --- /dev/null +++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/xmrSpecificOld.c @@ -0,0 +1,776 @@ +/*Code inherited from the original cryptonote (I didn't write these) */ +/*These functions either don't exist in, or are modified from ref10*/ + + +/* From fe_isnonzero.c, modified */ + +//x +static int fe_isnonzero(const fe f) { + unsigned char s[32]; + fe_tobytes(s, f); + return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | + s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | + s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | + s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; +} + +//double scalar mult precomp +void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s) { + ge_p1p1 t; + ge_p3 s2, u; + ge_p3_to_cached(&r[0], s); + ge_p3_dbl(&t, s); ge_p1p1_to_p3(&s2, &t); + ge_add(&t, &s2, &r[0]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[1], &u); + ge_add(&t, &s2, &r[1]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[2], &u); + ge_add(&t, &s2, &r[2]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[3], &u); + ge_add(&t, &s2, &r[3]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[4], &u); + ge_add(&t, &s2, &r[4]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[5], &u); + ge_add(&t, &s2, &r[5]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[6], &u); + ge_add(&t, &s2, &r[6]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[7], &u); +} + +/* +r = a * A + b * B +where a = a[0]+256*a[1]+...+256^31 a[31]. +and b = b[0]+256*b[1]+...+256^31 b[31]. +B is the Ed25519 base point (x,4/5) with x positive. +*/ + +void ge_double_scalarmult_base_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b) { + signed char aslide[256]; + signed char bslide[256]; + ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ + ge_p1p1 t; + ge_p3 u; + int i; + + slide(aslide, a); + slide(bslide, b); + ge_dsm_precomp(Ai, A);/* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ + + ge_p2_0(r); + + for (i = 255; i >= 0; --i) { + //so this gets us to the highest i such that both have a nonzero + if (aslide[i] || bslide[i]) break; + } + + for (; i >= 0; --i) { + ge_p2_dbl(&t, r);//simple double and add + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_madd(&t, &u, &ge_Bi[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_msub(&t, &u, &ge_Bi[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r, &t); + } +} + + +/* From ge_frombytes.c, modified */ +//this is like xrecover .. +//x +int ge_frombytes_vartime(ge_p3 *h, const unsigned char *s) { + fe u; + fe v; + fe vxx; + fe check; + + /* From fe_frombytes.c */ + + int64_t h0 = load_4(s); + int64_t h1 = load_3(s + 4) << 6; + int64_t h2 = load_3(s + 7) << 5; + int64_t h3 = load_3(s + 10) << 3; + int64_t h4 = load_3(s + 13) << 2; + int64_t h5 = load_4(s + 16); + int64_t h6 = load_3(s + 20) << 7; + int64_t h7 = load_3(s + 23) << 5; + int64_t h8 = load_3(s + 26) << 4; + int64_t h9 = (load_3(s + 29) & 8388607) << 2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + /* Validate the number to be canonical */ + if (h9 == 33554428 && h8 == 268435440 && h7 == 536870880 && h6 == 2147483520 && + h5 == 4294967295 && h4 == 67108860 && h3 == 134217720 && h2 == 536870880 && + h1 == 1073741760 && h0 >= 4294967277) { + return -1; + } + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h->Y[0] = h0; + h->Y[1] = h1; + h->Y[2] = h2; + h->Y[3] = h3; + h->Y[4] = h4; + h->Y[5] = h5; + h->Y[6] = h6; + h->Y[7] = h7; + h->Y[8] = h8; + h->Y[9] = h9; + + /* End fe_frombytes.c */ + + fe_1(h->Z); + fe_sq(u, h->Y); + fe_mul(v, u, fe_d); + fe_sub(u, u, h->Z); /* u = y^2-1 */ + fe_add(v, v, h->Z); /* v = dy^2+1 */ + + fe_divpowm1(h->X, u, v); /* x = uv^3(uv^7)^((q-5)/8) */ + + fe_sq(vxx, h->X); + fe_mul(vxx, vxx, v); + fe_sub(check, vxx, u); /* vx^2-u */ + if (fe_isnonzero(check)) { + fe_add(check, vxx, u); /* vx^2+u */ + if (fe_isnonzero(check)) { + return -1; + } + fe_mul(h->X, h->X, fe_sqrtm1); //this is mapping X to X * sqrt(-1) c.f. 3.1 in hisil, dong, etc. + } + + if (fe_isnegative(h->X) != (s[31] >> 7)) { + /* If x = 0, the sign must be positive */ + if (!fe_isnonzero(h->X)) { + return -1; + } + fe_neg(h->X, h->X); + } + + fe_mul(h->T, h->X, h->Y); + return 0; +} + +/* New code */ +/* (u / v)^(m + 1) */ +static void fe_divpowm1(fe r, const fe u, const fe v) { + fe v3, uv7, t0, t1, t2; + int i; + + fe_sq(v3, v); + fe_mul(v3, v3, v); /* v3 = v^3 */ + fe_sq(uv7, v3); + fe_mul(uv7, uv7, v); + fe_mul(uv7, uv7, u); /* uv7 = uv^7 */ + + /*fe_pow22523(uv7, uv7);*/ + + /* From fe_pow22523.c */ + + fe_sq(t0, uv7); + fe_sq(t1, t0); + fe_sq(t1, t1); + fe_mul(t1, uv7, t1); + fe_mul(t0, t0, t1); + fe_sq(t0, t0); + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 4; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 9; ++i) { + fe_sq(t1, t1); + } + fe_mul(t1, t1, t0); + fe_sq(t2, t1); + for (i = 0; i < 19; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + for (i = 0; i < 10; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 49; ++i) { + fe_sq(t1, t1); + } + fe_mul(t1, t1, t0); + fe_sq(t2, t1); + for (i = 0; i < 99; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + for (i = 0; i < 50; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t0, t0); + fe_sq(t0, t0); + fe_mul(t0, t0, uv7); + + /* End fe_pow22523.c */ + /* t0 = (uv^7)^((q-5)/8) */ + fe_mul(t0, t0, v3); + fe_mul(r, t0, u); /* u^(m+1)v^(-(m+1)) */ +} + +static void ge_cached_0(ge_cached *r) { + fe_1(r->YplusX); + fe_1(r->YminusX); + fe_1(r->Z); + fe_0(r->T2d); +} + +static void ge_cached_cmov(ge_cached *t, const ge_cached *u, unsigned char b) { + fe_cmov(t->YplusX, u->YplusX, b); + fe_cmov(t->YminusX, u->YminusX, b); + fe_cmov(t->Z, u->Z, b); + fe_cmov(t->T2d, u->T2d, b); +} + +/* Assumes that a[31] <= 127 */ +void ge_scalarmult(ge_p2 *r, const unsigned char *a, const ge_p3 *A) { + signed char e[64]; + int carry, carry2, i; + ge_cached Ai[8]; /* 1 * A, 2 * A, ..., 8 * A */ + ge_p1p1 t; + ge_p3 u; + + carry = 0; /* 0..1 */ + for (i = 0; i < 31; i++) { + carry += a[i]; /* 0..256 */ + carry2 = (carry + 8) >> 4; /* 0..16 */ + e[2 * i] = carry - (carry2 << 4); /* -8..7 */ + carry = (carry2 + 8) >> 4; /* 0..1 */ + e[2 * i + 1] = carry2 - (carry << 4); /* -8..7 */ + } + carry += a[31]; /* 0..128 */ + carry2 = (carry + 8) >> 4; /* 0..8 */ + e[62] = carry - (carry2 << 4); /* -8..7 */ + e[63] = carry2; /* 0..8 */ + + ge_p3_to_cached(&Ai[0], A); + for (i = 0; i < 7; i++) { + ge_add(&t, A, &Ai[i]); + ge_p1p1_to_p3(&u, &t); + ge_p3_to_cached(&Ai[i + 1], &u); + } + + ge_p2_0(r); + for (i = 63; i >= 0; i--) { + signed char b = e[i]; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 1); + ge_cached cur, minuscur; + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p3(&u, &t); + ge_cached_0(&cur); + ge_cached_cmov(&cur, &Ai[0], equal(babs, 1)); + ge_cached_cmov(&cur, &Ai[1], equal(babs, 2)); + ge_cached_cmov(&cur, &Ai[2], equal(babs, 3)); + ge_cached_cmov(&cur, &Ai[3], equal(babs, 4)); + ge_cached_cmov(&cur, &Ai[4], equal(babs, 5)); + ge_cached_cmov(&cur, &Ai[5], equal(babs, 6)); + ge_cached_cmov(&cur, &Ai[6], equal(babs, 7)); + ge_cached_cmov(&cur, &Ai[7], equal(babs, 8)); + fe_copy(minuscur.YplusX, cur.YminusX); + fe_copy(minuscur.YminusX, cur.YplusX); + fe_copy(minuscur.Z, cur.Z); + fe_neg(minuscur.T2d, cur.T2d); + ge_cached_cmov(&cur, &minuscur, bnegative); + ge_add(&t, &u, &cur); + ge_p1p1_to_p2(r, &t); + } +} + +//assume Bi has precomputed multiples +void ge_double_scalarmult_precomp_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b, const ge_dsmp Bii) { + signed char aslide[256]; + signed char bslide[256]; + ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ //precomps + ge_p1p1 t; + ge_p3 u; + int i; + + slide(aslide, a); + slide(bslide, b); + ge_dsm_precomp(Ai, A); + + ge_p2_0(r); + + for (i = 255; i >= 0; --i) { + if (aslide[i] || bslide[i]) break; + } + + for (; i >= 0; --i) { + ge_p2_dbl(&t, r); + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Bii[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Bii[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r, &t); + } +} + +//x +void ge_mul8(ge_p1p1 *r, const ge_p2 *t) { + ge_p2 u; + ge_p2_dbl(r, t); + ge_p1p1_to_p2(&u, r); + ge_p2_dbl(r, &u); + ge_p1p1_to_p2(&u, r); + ge_p2_dbl(r, &u); +} + +//x +void ge_fromfe_frombytes_vartime(ge_p2 *r, const unsigned char *s) { + fe u, v, w, x, y, z; + unsigned char sign; + + /* From fe_frombytes.c */ + + int64_t h0 = load_4(s); + int64_t h1 = load_3(s + 4) << 6; + int64_t h2 = load_3(s + 7) << 5; + int64_t h3 = load_3(s + 10) << 3; + int64_t h4 = load_3(s + 13) << 2; + int64_t h5 = load_4(s + 16); + int64_t h6 = load_3(s + 20) << 7; + int64_t h7 = load_3(s + 23) << 5; + int64_t h8 = load_3(s + 26) << 4; + int64_t h9 = load_3(s + 29) << 2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + u[0] = h0; + u[1] = h1; + u[2] = h2; + u[3] = h3; + u[4] = h4; + u[5] = h5; + u[6] = h6; + u[7] = h7; + u[8] = h8; + u[9] = h9; + + /* End fe_frombytes.c */ + + fe_sq2(v, u); /* 2 * u^2 */ + fe_1(w); + fe_add(w, v, w); /* w = 2 * u^2 + 1 */ + fe_sq(x, w); /* w^2 */ + fe_mul(y, fe_ma2, v); /* -2 * A^2 * u^2 */ + fe_add(x, x, y); /* x = w^2 - 2 * A^2 * u^2 */ + fe_divpowm1(r->X, w, x); /* (w / x)^(m + 1) */ + fe_sq(y, r->X); + fe_mul(x, y, x); + fe_sub(y, w, x); + fe_copy(z, fe_ma); + if (fe_isnonzero(y)) { + fe_add(y, w, x); + if (fe_isnonzero(y)) { + goto negative; + } else { + fe_mul(r->X, r->X, fe_fffb1); + } + } else { + fe_mul(r->X, r->X, fe_fffb2); + } + fe_mul(r->X, r->X, u); /* u * sqrt(2 * A * (A + 2) * w / x) */ + fe_mul(z, z, v); /* -2 * A * u^2 */ + sign = 0; + goto setsign; +negative: + fe_mul(x, x, fe_sqrtm1); + fe_sub(y, w, x); + if (fe_isnonzero(y)) { + assert((fe_add(y, w, x), !fe_isnonzero(y))); + fe_mul(r->X, r->X, fe_fffb3); + } else { + fe_mul(r->X, r->X, fe_fffb4); + } + /* r->X = sqrt(A * (A + 2) * w / x) */ + /* z = -A */ + sign = 1; +setsign: + if (fe_isnegative(r->X) != sign) { + assert(fe_isnonzero(r->X)); + fe_neg(r->X, r->X); + } + fe_add(r->Z, z, w); + fe_sub(r->Y, z, w); + fe_mul(r->X, r->X, r->Z); +#if !defined(NDEBUG) + { + fe check_x, check_y, check_iz, check_v; + fe_invert(check_iz, r->Z); + fe_mul(check_x, r->X, check_iz); + fe_mul(check_y, r->Y, check_iz); + fe_sq(check_x, check_x); + fe_sq(check_y, check_y); + fe_mul(check_v, check_x, check_y); + fe_mul(check_v, fe_d, check_v); + fe_add(check_v, check_v, check_x); + fe_sub(check_v, check_v, check_y); + fe_1(check_x); + fe_add(check_v, check_v, check_x); + assert(!fe_isnonzero(check_v)); + } +#endif +} + +//x +void sc_0(unsigned char *s) { + int i; + for (i = 0; i < 32; i++) { + s[i] = 0; + } +} + +//x +void sc_reduce32(unsigned char *s) { + int64_t s0 = 2097151 & load_3(s); + int64_t s1 = 2097151 & (load_4(s + 2) >> 5); + int64_t s2 = 2097151 & (load_3(s + 5) >> 2); + int64_t s3 = 2097151 & (load_4(s + 7) >> 7); + int64_t s4 = 2097151 & (load_4(s + 10) >> 4); + int64_t s5 = 2097151 & (load_3(s + 13) >> 1); + int64_t s6 = 2097151 & (load_4(s + 15) >> 6); + int64_t s7 = 2097151 & (load_3(s + 18) >> 3); + int64_t s8 = 2097151 & load_3(s + 21); + int64_t s9 = 2097151 & (load_4(s + 23) >> 5); + int64_t s10 = 2097151 & (load_3(s + 26) >> 2); + int64_t s11 = (load_4(s + 28) >> 7); + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +//x +void sc_add(unsigned char *s, const unsigned char *a, const unsigned char *b) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t s0 = a0 + b0; + int64_t s1 = a1 + b1; + int64_t s2 = a2 + b2; + int64_t s3 = a3 + b3; + int64_t s4 = a4 + b4; + int64_t s5 = a5 + b5; + int64_t s6 = a6 + b6; + int64_t s7 = a7 + b7; + int64_t s8 = a8 + b8; + int64_t s9 = a9 + b9; + int64_t s10 = a10 + b10; + int64_t s11 = a11 + b11; + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +/* Assumes that a != INT64_MIN */ +//x c.f. lt in 32 bit ref +static int64_t signum(int64_t a) { + return (a >> 63) - ((-a) >> 63); +} + +//x +int sc_check(const unsigned char *s) { + int64_t s0 = load_4(s); + int64_t s1 = load_4(s + 4); + int64_t s2 = load_4(s + 8); + int64_t s3 = load_4(s + 12); + int64_t s4 = load_4(s + 16); + int64_t s5 = load_4(s + 20); + int64_t s6 = load_4(s + 24); + int64_t s7 = load_4(s + 28); + return (signum(1559614444 - s0) + (signum(1477600026 - s1) << 1) + (signum(2734136534 - s2) << 2) + (signum(350157278 - s3) << 3) + (signum(-s4) << 4) + (signum(-s5) << 5) + (signum(-s6) << 6) + (signum(268435456 - s7) << 7)) >> 8; +} + +//x +int sc_isnonzero(const unsigned char *s) { + return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | + s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | + s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | + s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; +} diff --git a/src/crypto/crypto_ops_builder/sha512-blocks.c b/src/crypto/crypto_ops_builder/sha512-blocks.c new file mode 100755 index 000000000..c8dbf0d35 --- /dev/null +++ b/src/crypto/crypto_ops_builder/sha512-blocks.c @@ -0,0 +1,239 @@ +//#include "crypto_hashblocks.h" + +typedef unsigned long long uint64; + +static uint64 load_bigendian(const unsigned char *x) +{ + return + (uint64) (x[7]) \ + | (((uint64) (x[6])) << 8) \ + | (((uint64) (x[5])) << 16) \ + | (((uint64) (x[4])) << 24) \ + | (((uint64) (x[3])) << 32) \ + | (((uint64) (x[2])) << 40) \ + | (((uint64) (x[1])) << 48) \ + | (((uint64) (x[0])) << 56) + ; +} + +static void store_bigendian(unsigned char *x,uint64 u) +{ + x[7] = u; u >>= 8; + x[6] = u; u >>= 8; + x[5] = u; u >>= 8; + x[4] = u; u >>= 8; + x[3] = u; u >>= 8; + x[2] = u; u >>= 8; + x[1] = u; u >>= 8; + x[0] = u; +} + +#define SHR(x,c) ((x) >> (c)) +#define ROTR(x,c) (((x) >> (c)) | ((x) << (64 - (c)))) + +#define Ch(x,y,z) ((x & y) ^ (~x & z)) +#define Maj(x,y,z) ((x & y) ^ (x & z) ^ (y & z)) +#define Sigma0(x) (ROTR(x,28) ^ ROTR(x,34) ^ ROTR(x,39)) +#define Sigma1(x) (ROTR(x,14) ^ ROTR(x,18) ^ ROTR(x,41)) +#define sigma0(x) (ROTR(x, 1) ^ ROTR(x, 8) ^ SHR(x,7)) +#define sigma1(x) (ROTR(x,19) ^ ROTR(x,61) ^ SHR(x,6)) + +#define M(w0,w14,w9,w1) w0 = sigma1(w14) + w9 + sigma0(w1) + w0; + +#define EXPAND \ + M(w0 ,w14,w9 ,w1 ) \ + M(w1 ,w15,w10,w2 ) \ + M(w2 ,w0 ,w11,w3 ) \ + M(w3 ,w1 ,w12,w4 ) \ + M(w4 ,w2 ,w13,w5 ) \ + M(w5 ,w3 ,w14,w6 ) \ + M(w6 ,w4 ,w15,w7 ) \ + M(w7 ,w5 ,w0 ,w8 ) \ + M(w8 ,w6 ,w1 ,w9 ) \ + M(w9 ,w7 ,w2 ,w10) \ + M(w10,w8 ,w3 ,w11) \ + M(w11,w9 ,w4 ,w12) \ + M(w12,w10,w5 ,w13) \ + M(w13,w11,w6 ,w14) \ + M(w14,w12,w7 ,w15) \ + M(w15,w13,w8 ,w0 ) + +#define F(w,k) \ + T1 = h + Sigma1(e) + Ch(e,f,g) + k + w; \ + T2 = Sigma0(a) + Maj(a,b,c); \ + h = g; \ + g = f; \ + f = e; \ + e = d + T1; \ + d = c; \ + c = b; \ + b = a; \ + a = T1 + T2; + +int crypto_hashblocks(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen) +{ + uint64 state[8]; + uint64 a; + uint64 b; + uint64 c; + uint64 d; + uint64 e; + uint64 f; + uint64 g; + uint64 h; + uint64 T1; + uint64 T2; + + a = load_bigendian(statebytes + 0); state[0] = a; + b = load_bigendian(statebytes + 8); state[1] = b; + c = load_bigendian(statebytes + 16); state[2] = c; + d = load_bigendian(statebytes + 24); state[3] = d; + e = load_bigendian(statebytes + 32); state[4] = e; + f = load_bigendian(statebytes + 40); state[5] = f; + g = load_bigendian(statebytes + 48); state[6] = g; + h = load_bigendian(statebytes + 56); state[7] = h; + + while (inlen >= 128) { + uint64 w0 = load_bigendian(in + 0); + uint64 w1 = load_bigendian(in + 8); + uint64 w2 = load_bigendian(in + 16); + uint64 w3 = load_bigendian(in + 24); + uint64 w4 = load_bigendian(in + 32); + uint64 w5 = load_bigendian(in + 40); + uint64 w6 = load_bigendian(in + 48); + uint64 w7 = load_bigendian(in + 56); + uint64 w8 = load_bigendian(in + 64); + uint64 w9 = load_bigendian(in + 72); + uint64 w10 = load_bigendian(in + 80); + uint64 w11 = load_bigendian(in + 88); + uint64 w12 = load_bigendian(in + 96); + uint64 w13 = load_bigendian(in + 104); + uint64 w14 = load_bigendian(in + 112); + uint64 w15 = load_bigendian(in + 120); + + F(w0 ,0x428a2f98d728ae22ULL) + F(w1 ,0x7137449123ef65cdULL) + F(w2 ,0xb5c0fbcfec4d3b2fULL) + F(w3 ,0xe9b5dba58189dbbcULL) + F(w4 ,0x3956c25bf348b538ULL) + F(w5 ,0x59f111f1b605d019ULL) + F(w6 ,0x923f82a4af194f9bULL) + F(w7 ,0xab1c5ed5da6d8118ULL) + F(w8 ,0xd807aa98a3030242ULL) + F(w9 ,0x12835b0145706fbeULL) + F(w10,0x243185be4ee4b28cULL) + F(w11,0x550c7dc3d5ffb4e2ULL) + F(w12,0x72be5d74f27b896fULL) + F(w13,0x80deb1fe3b1696b1ULL) + F(w14,0x9bdc06a725c71235ULL) + F(w15,0xc19bf174cf692694ULL) + + EXPAND + + F(w0 ,0xe49b69c19ef14ad2ULL) + F(w1 ,0xefbe4786384f25e3ULL) + F(w2 ,0x0fc19dc68b8cd5b5ULL) + F(w3 ,0x240ca1cc77ac9c65ULL) + F(w4 ,0x2de92c6f592b0275ULL) + F(w5 ,0x4a7484aa6ea6e483ULL) + F(w6 ,0x5cb0a9dcbd41fbd4ULL) + F(w7 ,0x76f988da831153b5ULL) + F(w8 ,0x983e5152ee66dfabULL) + F(w9 ,0xa831c66d2db43210ULL) + F(w10,0xb00327c898fb213fULL) + F(w11,0xbf597fc7beef0ee4ULL) + F(w12,0xc6e00bf33da88fc2ULL) + F(w13,0xd5a79147930aa725ULL) + F(w14,0x06ca6351e003826fULL) + F(w15,0x142929670a0e6e70ULL) + + EXPAND + + F(w0 ,0x27b70a8546d22ffcULL) + F(w1 ,0x2e1b21385c26c926ULL) + F(w2 ,0x4d2c6dfc5ac42aedULL) + F(w3 ,0x53380d139d95b3dfULL) + F(w4 ,0x650a73548baf63deULL) + F(w5 ,0x766a0abb3c77b2a8ULL) + F(w6 ,0x81c2c92e47edaee6ULL) + F(w7 ,0x92722c851482353bULL) + F(w8 ,0xa2bfe8a14cf10364ULL) + F(w9 ,0xa81a664bbc423001ULL) + F(w10,0xc24b8b70d0f89791ULL) + F(w11,0xc76c51a30654be30ULL) + F(w12,0xd192e819d6ef5218ULL) + F(w13,0xd69906245565a910ULL) + F(w14,0xf40e35855771202aULL) + F(w15,0x106aa07032bbd1b8ULL) + + EXPAND + + F(w0 ,0x19a4c116b8d2d0c8ULL) + F(w1 ,0x1e376c085141ab53ULL) + F(w2 ,0x2748774cdf8eeb99ULL) + F(w3 ,0x34b0bcb5e19b48a8ULL) + F(w4 ,0x391c0cb3c5c95a63ULL) + F(w5 ,0x4ed8aa4ae3418acbULL) + F(w6 ,0x5b9cca4f7763e373ULL) + F(w7 ,0x682e6ff3d6b2b8a3ULL) + F(w8 ,0x748f82ee5defb2fcULL) + F(w9 ,0x78a5636f43172f60ULL) + F(w10,0x84c87814a1f0ab72ULL) + F(w11,0x8cc702081a6439ecULL) + F(w12,0x90befffa23631e28ULL) + F(w13,0xa4506cebde82bde9ULL) + F(w14,0xbef9a3f7b2c67915ULL) + F(w15,0xc67178f2e372532bULL) + + EXPAND + + F(w0 ,0xca273eceea26619cULL) + F(w1 ,0xd186b8c721c0c207ULL) + F(w2 ,0xeada7dd6cde0eb1eULL) + F(w3 ,0xf57d4f7fee6ed178ULL) + F(w4 ,0x06f067aa72176fbaULL) + F(w5 ,0x0a637dc5a2c898a6ULL) + F(w6 ,0x113f9804bef90daeULL) + F(w7 ,0x1b710b35131c471bULL) + F(w8 ,0x28db77f523047d84ULL) + F(w9 ,0x32caab7b40c72493ULL) + F(w10,0x3c9ebe0a15c9bebcULL) + F(w11,0x431d67c49c100d4cULL) + F(w12,0x4cc5d4becb3e42b6ULL) + F(w13,0x597f299cfc657e2aULL) + F(w14,0x5fcb6fab3ad6faecULL) + F(w15,0x6c44198c4a475817ULL) + + a += state[0]; + b += state[1]; + c += state[2]; + d += state[3]; + e += state[4]; + f += state[5]; + g += state[6]; + h += state[7]; + + state[0] = a; + state[1] = b; + state[2] = c; + state[3] = d; + state[4] = e; + state[5] = f; + state[6] = g; + state[7] = h; + + in += 128; + inlen -= 128; + } + + store_bigendian(statebytes + 0,state[0]); + store_bigendian(statebytes + 8,state[1]); + store_bigendian(statebytes + 16,state[2]); + store_bigendian(statebytes + 24,state[3]); + store_bigendian(statebytes + 32,state[4]); + store_bigendian(statebytes + 40,state[5]); + store_bigendian(statebytes + 48,state[6]); + store_bigendian(statebytes + 56,state[7]); + + return inlen; +} diff --git a/src/crypto/crypto_ops_builder/sha512-hash.c b/src/crypto/crypto_ops_builder/sha512-hash.c new file mode 100755 index 000000000..f2f292505 --- /dev/null +++ b/src/crypto/crypto_ops_builder/sha512-hash.c @@ -0,0 +1,72 @@ +/* +20080913 +D. J. Bernstein +Public domain. +*/ + +#include "sha512.h" + +extern int crypto_hashblocks(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen); + +#define blocks crypto_hashblocks + +static const unsigned char iv[64] = { + 0x6a,0x09,0xe6,0x67,0xf3,0xbc,0xc9,0x08, + 0xbb,0x67,0xae,0x85,0x84,0xca,0xa7,0x3b, + 0x3c,0x6e,0xf3,0x72,0xfe,0x94,0xf8,0x2b, + 0xa5,0x4f,0xf5,0x3a,0x5f,0x1d,0x36,0xf1, + 0x51,0x0e,0x52,0x7f,0xad,0xe6,0x82,0xd1, + 0x9b,0x05,0x68,0x8c,0x2b,0x3e,0x6c,0x1f, + 0x1f,0x83,0xd9,0xab,0xfb,0x41,0xbd,0x6b, + 0x5b,0xe0,0xcd,0x19,0x13,0x7e,0x21,0x79 +} ; + +typedef unsigned long long uint64; + +int crypto_hash_sha512(unsigned char *out,const unsigned char *in,unsigned long long inlen) +{ + unsigned char h[64]; + unsigned char padded[256]; + int i; + unsigned long long bytes = inlen; + + for (i = 0;i < 64;++i) h[i] = iv[i]; + + blocks(h,in,inlen); + in += inlen; + inlen &= 127; + in -= inlen; + + for (i = 0;i < inlen;++i) padded[i] = in[i]; + padded[inlen] = 0x80; + + if (inlen < 112) { + for (i = inlen + 1;i < 119;++i) padded[i] = 0; + padded[119] = bytes >> 61; + padded[120] = bytes >> 53; + padded[121] = bytes >> 45; + padded[122] = bytes >> 37; + padded[123] = bytes >> 29; + padded[124] = bytes >> 21; + padded[125] = bytes >> 13; + padded[126] = bytes >> 5; + padded[127] = bytes << 3; + blocks(h,padded,128); + } else { + for (i = inlen + 1;i < 247;++i) padded[i] = 0; + padded[247] = bytes >> 61; + padded[248] = bytes >> 53; + padded[249] = bytes >> 45; + padded[250] = bytes >> 37; + padded[251] = bytes >> 29; + padded[252] = bytes >> 21; + padded[253] = bytes >> 13; + padded[254] = bytes >> 5; + padded[255] = bytes << 3; + blocks(h,padded,256); + } + + for (i = 0;i < 64;++i) out[i] = h[i]; + + return 0; +} diff --git a/src/crypto/crypto_ops_builder/sha512.h b/src/crypto/crypto_ops_builder/sha512.h new file mode 100755 index 000000000..37376b15d --- /dev/null +++ b/src/crypto/crypto_ops_builder/sha512.h @@ -0,0 +1,4 @@ +extern int crypto_hashblocks(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen); +extern int crypto_hash_sha512(unsigned char *out,const unsigned char *in,unsigned long long inlen); + +#define crypto_hash_sha512_BYTES 64 diff --git a/src/crypto/crypto_ops_builder/verify.c b/src/crypto/crypto_ops_builder/verify.c new file mode 100755 index 000000000..a04186b60 --- /dev/null +++ b/src/crypto/crypto_ops_builder/verify.c @@ -0,0 +1,40 @@ +#include "crypto_verify_32.h" + +int crypto_verify_32(const unsigned char *x,const unsigned char *y) +{ + unsigned int differentbits = 0; +#define F(i) differentbits |= x[i] ^ y[i]; + F(0) + F(1) + F(2) + F(3) + F(4) + F(5) + F(6) + F(7) + F(8) + F(9) + F(10) + F(11) + F(12) + F(13) + F(14) + F(15) + F(16) + F(17) + F(18) + F(19) + F(20) + F(21) + F(22) + F(23) + F(24) + F(25) + F(26) + F(27) + F(28) + F(29) + F(30) + F(31) + return (1 & ((differentbits - 1) >> 8)) - 1; +} diff --git a/src/crypto/shen_ed25519_ref/Makefile b/src/crypto/shen_ed25519_ref/Makefile deleted file mode 100755 index 69b0d3ba3..000000000 --- a/src/crypto/shen_ed25519_ref/Makefile +++ /dev/null @@ -1,10 +0,0 @@ - -CC=gcc -CFLAGS=-O2 -Wall - -OBJS= fe25519.o ge25519.o sc25519.o sha512-blocks.o sha512-hash.o ed25519.o randombytes.o verify.o -test: test.o $(OBJS) - gcc -o $@ $^ - -clean: - rm -f *.o test diff --git a/src/crypto/shen_ed25519_ref/api.h b/src/crypto/shen_ed25519_ref/api.h deleted file mode 100755 index 60339596d..000000000 --- a/src/crypto/shen_ed25519_ref/api.h +++ /dev/null @@ -1,2 +0,0 @@ -#define CRYPTO_BYTES 32 -#define CRYPTO_SCALARBYTES 32 diff --git a/src/crypto/shen_ed25519_ref/crypto-ops-data.c b/src/crypto/shen_ed25519_ref/crypto-ops-data.c deleted file mode 100644 index c26abacca..000000000 --- a/src/crypto/shen_ed25519_ref/crypto-ops-data.c +++ /dev/null @@ -1,872 +0,0 @@ -// Copyright (c) 2014-2015, The Monero Project -// -// All rights reserved. -// -// Redistribution and use in source and binary forms, with or without modification, are -// permitted provided that the following conditions are met: -// -// 1. Redistributions of source code must retain the above copyright notice, this list of -// conditions and the following disclaimer. -// -// 2. Redistributions in binary form must reproduce the above copyright notice, this list -// of conditions and the following disclaimer in the documentation and/or other -// materials provided with the distribution. -// -// 3. Neither the name of the copyright holder nor the names of its contributors may be -// used to endorse or promote products derived from this software without specific -// prior written permission. -// -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY -// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF -// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL -// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, -// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, -// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF -// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -// -// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers - -#include - -#include "crypto-ops.h" - -/* sqrt(x) is such an integer y that 0 <= y <= p - 1, y % 2 = 0, and y^2 = x (mod p). */ -/* d = -121665 / 121666 */ -const fe fe_d = {-10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116}; /* d */ -const fe fe_sqrtm1 = {-32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482}; /* sqrt(-1) */ -const fe fe_d2 = {-21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199}; /* 2 * d */ - -/* base[i][j] = (j+1)*256^i*B */ -const ge_precomp ge_base[32][8] = { - { - {{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, - {-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, - {-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}}, - {{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303}, - {-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081}, - {26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697}}, - {{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, - {16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, - {30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}}, - {{-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540}, - {23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397}, - {7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325}}, - {{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, - {4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, - {19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}}, - {{-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777}, - {-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737}, - {-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652}}, - {{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, - {-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, - {28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}}, - {{14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726}, - {-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955}, - {27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425}} - }, { - {{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171}, - {27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510}, - {17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660}}, - {{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639}, - {29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963}, - {5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950}}, - {{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568}, - {12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335}, - {25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628}}, - {{-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007}, - {-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772}, - {-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653}}, - {{2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567}, - {13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686}, - {21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372}}, - 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{-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099}} - }, { - {{-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728}, - {-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658}, - {-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242}}, - {{-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001}, - {-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766}, - {18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373}}, - {{26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458}, - {-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628}, - {-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657}}, - {{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062}, - {25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616}, - {31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014}}, - {{24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383}, - {-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814}, - {-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718}}, - {{30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417}, - {2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222}, - {33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444}}, - {{-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597}, - {23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970}, - {1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799}}, - {{-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647}, - {13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511}, - {-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032}} - }, { - {{9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834}, - {-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461}, - {29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062}}, - {{-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516}, - {-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547}, - {-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240}}, - {{-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038}, - {-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741}, - {16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103}}, - {{-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747}, - {-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323}, - {31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016}}, - {{-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373}, - {15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228}, - {-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141}}, - {{16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399}, - {11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831}, - {-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376}}, - {{-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313}, - {-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958}, - {-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577}}, - {{-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743}, - {29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684}, - {-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476}} - } -}; - -const ge_precomp ge_Bi[8] = { - {{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, - {-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, - {-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}}, {{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, - {16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, - {30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}}, {{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, - {4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, - {19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}}, {{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, - {-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, - {28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}}, {{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877}, - {-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951}, - {4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784}}, {{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436}, - {25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918}, - {23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877}}, {{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800}, - {-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305}, - {-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300}}, {{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876}, - {-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619}, - {-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683}} -}; - -/* A = 2 * (1 - d) / (1 + d) = 486662 */ -const fe fe_ma2 = {-12721188, -3529, 0, 0, 0, 0, 0, 0, 0, 0}; /* -A^2 */ -const fe fe_ma = {-486662, 0, 0, 0, 0, 0, 0, 0, 0, 0}; /* -A */ -const fe fe_fffb1 = {-31702527, -2466483, -26106795, -12203692, -12169197, -321052, 14850977, -10296299, -16929438, -407568}; /* sqrt(-2 * A * (A + 2)) */ -const fe fe_fffb2 = {8166131, -6741800, -17040804, 3154616, 21461005, 1466302, -30876704, -6368709, 10503587, -13363080}; /* sqrt(2 * A * (A + 2)) */ -const fe fe_fffb3 = {-13620103, 14639558, 4532995, 7679154, 16815101, -15883539, -22863840, -14813421, 13716513, -6477756}; /* sqrt(-sqrt(-1) * A * (A + 2)) */ -const fe fe_fffb4 = {-21786234, -12173074, 21573800, 4524538, -4645904, 16204591, 8012863, -8444712, 3212926, 6885324}; /* sqrt(sqrt(-1) * A * (A + 2)) */ diff --git a/src/crypto/shen_ed25519_ref/crypto-ops-old.c b/src/crypto/shen_ed25519_ref/crypto-ops-old.c deleted file mode 100644 index 88e6c09ac..000000000 --- a/src/crypto/shen_ed25519_ref/crypto-ops-old.c +++ /dev/null @@ -1,3008 +0,0 @@ -// Copyright (c) 2014-2015, The Monero Project -// -// All rights reserved. -// -// Redistribution and use in source and binary forms, with or without modification, are -// permitted provided that the following conditions are met: -// -// 1. Redistributions of source code must retain the above copyright notice, this list of -// conditions and the following disclaimer. -// -// 2. Redistributions in binary form must reproduce the above copyright notice, this list -// of conditions and the following disclaimer in the documentation and/or other -// materials provided with the distribution. -// -// 3. Neither the name of the copyright holder nor the names of its contributors may be -// used to endorse or promote products derived from this software without specific -// prior written permission. -// -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY -// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF -// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL -// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, -// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, -// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF -// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -// -// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers - - -#include //standard -#include //standard - -//#include "warnings.h" //where is this?? -#include "crypto-ops.h" //fine - -//DISABLE_VS_WARNINGS(4146 4244) - -/* Predeclarations */ - -static void fe_mul(fe, const fe, const fe); -static void fe_sq(fe, const fe); -static void fe_tobytes(unsigned char *, const fe); -static void ge_madd(ge_p1p1 *, const ge_p3 *, const ge_precomp *); -static void ge_msub(ge_p1p1 *, const ge_p3 *, const ge_precomp *); -static void ge_p2_0(ge_p2 *); -static void ge_p3_dbl(ge_p1p1 *, const ge_p3 *); -static void ge_sub(ge_p1p1 *, const ge_p3 *, const ge_cached *); -static void fe_divpowm1(fe, const fe, const fe); - -/* Common functions */ - -//x -//u -static uint64_t load_3(const unsigned char *in) { - uint64_t result; - result = (uint64_t) in[0]; - result |= ((uint64_t) in[1]) << 8; - result |= ((uint64_t) in[2]) << 16; - return result; -} - -//x -//u -static uint64_t load_4(const unsigned char *in) -{ - uint64_t result; - result = (uint64_t) in[0]; - result |= ((uint64_t) in[1]) << 8; - result |= ((uint64_t) in[2]) << 16; - result |= ((uint64_t) in[3]) << 24; - return result; -} - -/* From fe_0.c */ - -/* -h = 0 -*/ - -//x -static void fe_0(fe h) { - h[0] = 0; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} - -/* From fe_1.c */ - -/* -h = 1 -*/ - -//x -static void fe_1(fe h) { - h[0] = 1; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} - -/* From fe_add.c */ - -/* -h = f + g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -static void fe_add(fe h, const fe f, const fe g) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t h0 = f0 + g0; - int32_t h1 = f1 + g1; - int32_t h2 = f2 + g2; - int32_t h3 = f3 + g3; - int32_t h4 = f4 + g4; - int32_t h5 = f5 + g5; - int32_t h6 = f6 + g6; - int32_t h7 = f7 + g7; - int32_t h8 = f8 + g8; - int32_t h9 = f9 + g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* From fe_cmov.c */ - -/* -Replace (f,g) with (g,g) if b == 1; -replace (f,g) with (f,g) if b == 0. - -Preconditions: b in {0,1}. -*/ - -//x -static void fe_cmov(fe f, const fe g, unsigned int b) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t x0 = f0 ^ g0; - int32_t x1 = f1 ^ g1; - int32_t x2 = f2 ^ g2; - int32_t x3 = f3 ^ g3; - int32_t x4 = f4 ^ g4; - int32_t x5 = f5 ^ g5; - int32_t x6 = f6 ^ g6; - int32_t x7 = f7 ^ g7; - int32_t x8 = f8 ^ g8; - int32_t x9 = f9 ^ g9; - assert((((b - 1) & ~b) | ((b - 2) & ~(b - 1))) == (unsigned int) -1); - b = -b; - x0 &= b; - x1 &= b; - x2 &= b; - x3 &= b; - x4 &= b; - x5 &= b; - x6 &= b; - x7 &= b; - x8 &= b; - x9 &= b; - f[0] = f0 ^ x0; - f[1] = f1 ^ x1; - f[2] = f2 ^ x2; - f[3] = f3 ^ x3; - f[4] = f4 ^ x4; - f[5] = f5 ^ x5; - f[6] = f6 ^ x6; - f[7] = f7 ^ x7; - f[8] = f8 ^ x8; - f[9] = f9 ^ x9; -} - -/* From fe_copy.c */ - -/* -h = f -*/ - -//x -static void fe_copy(fe h, const fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - h[0] = f0; - h[1] = f1; - h[2] = f2; - h[3] = f3; - h[4] = f4; - h[5] = f5; - h[6] = f6; - h[7] = f7; - h[8] = f8; - h[9] = f9; -} - -/* From fe_invert.c */ - -//x using fermat -static void fe_invert(fe out, const fe z) { - fe t0; - fe t1; - fe t2; - fe t3; - int i; - - fe_sq(t0, z); - fe_sq(t1, t0); - fe_sq(t1, t1); - fe_mul(t1, z, t1); - fe_mul(t0, t0, t1); - fe_sq(t2, t0); - fe_mul(t1, t1, t2); - fe_sq(t2, t1); - for (i = 0; i < 4; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - fe_sq(t2, t1); - for (i = 0; i < 9; ++i) { - fe_sq(t2, t2); - } - fe_mul(t2, t2, t1); - fe_sq(t3, t2); - for (i = 0; i < 19; ++i) { - fe_sq(t3, t3); - } - fe_mul(t2, t3, t2); - fe_sq(t2, t2); - for (i = 0; i < 9; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - fe_sq(t2, t1); - for (i = 0; i < 49; ++i) { - fe_sq(t2, t2); - } - fe_mul(t2, t2, t1); - fe_sq(t3, t2); - for (i = 0; i < 99; ++i) { - fe_sq(t3, t3); - } - fe_mul(t2, t3, t2); - fe_sq(t2, t2); - for (i = 0; i < 49; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - fe_sq(t1, t1); - for (i = 0; i < 4; ++i) { - fe_sq(t1, t1); - } - fe_mul(out, t1, t0); - - return; -} - -/* From fe_isnegative.c */ - -/* -return 1 if f is in {1,3,5,...,q-2} -return 0 if f is in {0,2,4,...,q-1} - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -//x -static int fe_isnegative(const fe f) { - unsigned char s[32]; - fe_tobytes(s, f); - return s[0] & 1; -} - -/* From fe_isnonzero.c, modified */ - -//x -static int fe_isnonzero(const fe f) { - unsigned char s[32]; - fe_tobytes(s, f); - return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | - s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | - s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | - s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; -} - -/* From fe_mul.c */ - -/* -h = f * g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -Notes on implementation strategy: - -Using schoolbook multiplication. -Karatsuba would save a little in some cost models. - -Most multiplications by 2 and 19 are 32-bit precomputations; -cheaper than 64-bit postcomputations. - -There is one remaining multiplication by 19 in the carry chain; -one *19 precomputation can be merged into this, -but the resulting data flow is considerably less clean. - -There are 12 carries below. -10 of them are 2-way parallelizable and vectorizable. -Can get away with 11 carries, but then data flow is much deeper. - -With tighter constraints on inputs can squeeze carries into int32. -*/ - -static void fe_mul(fe h, const fe f, const fe g) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */ - int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ - int32_t g3_19 = 19 * g3; - int32_t g4_19 = 19 * g4; - int32_t g5_19 = 19 * g5; - int32_t g6_19 = 19 * g6; - int32_t g7_19 = 19 * g7; - int32_t g8_19 = 19 * g8; - int32_t g9_19 = 19 * g9; - int32_t f1_2 = 2 * f1; - int32_t f3_2 = 2 * f3; - int32_t f5_2 = 2 * f5; - int32_t f7_2 = 2 * f7; - int32_t f9_2 = 2 * f9; - int64_t f0g0 = f0 * (int64_t) g0; - int64_t f0g1 = f0 * (int64_t) g1; - int64_t f0g2 = f0 * (int64_t) g2; - int64_t f0g3 = f0 * (int64_t) g3; - int64_t f0g4 = f0 * (int64_t) g4; - int64_t f0g5 = f0 * (int64_t) g5; - int64_t f0g6 = f0 * (int64_t) g6; - int64_t f0g7 = f0 * (int64_t) g7; - int64_t f0g8 = f0 * (int64_t) g8; - int64_t f0g9 = f0 * (int64_t) g9; - int64_t f1g0 = f1 * (int64_t) g0; - int64_t f1g1_2 = f1_2 * (int64_t) g1; - int64_t f1g2 = f1 * (int64_t) g2; - int64_t f1g3_2 = f1_2 * (int64_t) g3; - int64_t f1g4 = f1 * (int64_t) g4; - int64_t f1g5_2 = f1_2 * (int64_t) g5; - int64_t f1g6 = f1 * (int64_t) g6; - int64_t f1g7_2 = f1_2 * (int64_t) g7; - int64_t f1g8 = f1 * (int64_t) g8; - int64_t f1g9_38 = f1_2 * (int64_t) g9_19; - int64_t f2g0 = f2 * (int64_t) g0; - int64_t f2g1 = f2 * (int64_t) g1; - int64_t f2g2 = f2 * (int64_t) g2; - int64_t f2g3 = f2 * (int64_t) g3; - int64_t f2g4 = f2 * (int64_t) g4; - int64_t f2g5 = f2 * (int64_t) g5; - int64_t f2g6 = f2 * (int64_t) g6; - int64_t f2g7 = f2 * (int64_t) g7; - int64_t f2g8_19 = f2 * (int64_t) g8_19; - int64_t f2g9_19 = f2 * (int64_t) g9_19; - int64_t f3g0 = f3 * (int64_t) g0; - int64_t f3g1_2 = f3_2 * (int64_t) g1; - int64_t f3g2 = f3 * (int64_t) g2; - int64_t f3g3_2 = f3_2 * (int64_t) g3; - int64_t f3g4 = f3 * (int64_t) g4; - int64_t f3g5_2 = f3_2 * (int64_t) g5; - int64_t f3g6 = f3 * (int64_t) g6; - int64_t f3g7_38 = f3_2 * (int64_t) g7_19; - int64_t f3g8_19 = f3 * (int64_t) g8_19; - int64_t f3g9_38 = f3_2 * (int64_t) g9_19; - int64_t f4g0 = f4 * (int64_t) g0; - int64_t f4g1 = f4 * (int64_t) g1; - int64_t f4g2 = f4 * (int64_t) g2; - int64_t f4g3 = f4 * (int64_t) g3; - int64_t f4g4 = f4 * (int64_t) g4; - int64_t f4g5 = f4 * (int64_t) g5; - int64_t f4g6_19 = f4 * (int64_t) g6_19; - int64_t f4g7_19 = f4 * (int64_t) g7_19; - int64_t f4g8_19 = f4 * (int64_t) g8_19; - int64_t f4g9_19 = f4 * (int64_t) g9_19; - int64_t f5g0 = f5 * (int64_t) g0; - int64_t f5g1_2 = f5_2 * (int64_t) g1; - int64_t f5g2 = f5 * (int64_t) g2; - int64_t f5g3_2 = f5_2 * (int64_t) g3; - int64_t f5g4 = f5 * (int64_t) g4; - int64_t f5g5_38 = f5_2 * (int64_t) g5_19; - int64_t f5g6_19 = f5 * (int64_t) g6_19; - int64_t f5g7_38 = f5_2 * (int64_t) g7_19; - int64_t f5g8_19 = f5 * (int64_t) g8_19; - int64_t f5g9_38 = f5_2 * (int64_t) g9_19; - int64_t f6g0 = f6 * (int64_t) g0; - int64_t f6g1 = f6 * (int64_t) g1; - int64_t f6g2 = f6 * (int64_t) g2; - int64_t f6g3 = f6 * (int64_t) g3; - int64_t f6g4_19 = f6 * (int64_t) g4_19; - int64_t f6g5_19 = f6 * (int64_t) g5_19; - int64_t f6g6_19 = f6 * (int64_t) g6_19; - int64_t f6g7_19 = f6 * (int64_t) g7_19; - int64_t f6g8_19 = f6 * (int64_t) g8_19; - int64_t f6g9_19 = f6 * (int64_t) g9_19; - int64_t f7g0 = f7 * (int64_t) g0; - int64_t f7g1_2 = f7_2 * (int64_t) g1; - int64_t f7g2 = f7 * (int64_t) g2; - int64_t f7g3_38 = f7_2 * (int64_t) g3_19; - int64_t f7g4_19 = f7 * (int64_t) g4_19; - int64_t f7g5_38 = f7_2 * (int64_t) g5_19; - int64_t f7g6_19 = f7 * (int64_t) g6_19; - int64_t f7g7_38 = f7_2 * (int64_t) g7_19; - int64_t f7g8_19 = f7 * (int64_t) g8_19; - int64_t f7g9_38 = f7_2 * (int64_t) g9_19; - int64_t f8g0 = f8 * (int64_t) g0; - int64_t f8g1 = f8 * (int64_t) g1; - int64_t f8g2_19 = f8 * (int64_t) g2_19; - int64_t f8g3_19 = f8 * (int64_t) g3_19; - int64_t f8g4_19 = f8 * (int64_t) g4_19; - int64_t f8g5_19 = f8 * (int64_t) g5_19; - int64_t f8g6_19 = f8 * (int64_t) g6_19; - int64_t f8g7_19 = f8 * (int64_t) g7_19; - int64_t f8g8_19 = f8 * (int64_t) g8_19; - int64_t f8g9_19 = f8 * (int64_t) g9_19; - int64_t f9g0 = f9 * (int64_t) g0; - int64_t f9g1_38 = f9_2 * (int64_t) g1_19; - int64_t f9g2_19 = f9 * (int64_t) g2_19; - int64_t f9g3_38 = f9_2 * (int64_t) g3_19; - int64_t f9g4_19 = f9 * (int64_t) g4_19; - int64_t f9g5_38 = f9_2 * (int64_t) g5_19; - int64_t f9g6_19 = f9 * (int64_t) g6_19; - int64_t f9g7_38 = f9_2 * (int64_t) g7_19; - int64_t f9g8_19 = f9 * (int64_t) g8_19; - int64_t f9g9_38 = f9_2 * (int64_t) g9_19; - int64_t h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; - int64_t h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; - int64_t h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; - int64_t h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; - int64_t h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; - int64_t h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; - int64_t h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; - int64_t h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; - int64_t h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; - int64_t h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - /* - |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) - i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 - |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) - i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 - */ - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - /* |h0| <= 2^25 */ - /* |h4| <= 2^25 */ - /* |h1| <= 1.71*2^59 */ - /* |h5| <= 1.71*2^59 */ - - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - /* |h1| <= 2^24; from now on fits into int32 */ - /* |h5| <= 2^24; from now on fits into int32 */ - /* |h2| <= 1.41*2^60 */ - /* |h6| <= 1.41*2^60 */ - - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - /* |h2| <= 2^25; from now on fits into int32 unchanged */ - /* |h6| <= 2^25; from now on fits into int32 unchanged */ - /* |h3| <= 1.71*2^59 */ - /* |h7| <= 1.71*2^59 */ - - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - /* |h3| <= 2^24; from now on fits into int32 unchanged */ - /* |h7| <= 2^24; from now on fits into int32 unchanged */ - /* |h4| <= 1.72*2^34 */ - /* |h8| <= 1.41*2^60 */ - - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - /* |h4| <= 2^25; from now on fits into int32 unchanged */ - /* |h8| <= 2^25; from now on fits into int32 unchanged */ - /* |h5| <= 1.01*2^24 */ - /* |h9| <= 1.71*2^59 */ - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - /* |h9| <= 2^24; from now on fits into int32 unchanged */ - /* |h0| <= 1.1*2^39 */ - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - /* |h0| <= 2^25; from now on fits into int32 unchanged */ - /* |h1| <= 1.01*2^24 */ - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* From fe_neg.c */ - -/* -h = -f - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. -*/ - -//x -static void fe_neg(fe h, const fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t h0 = -f0; - int32_t h1 = -f1; - int32_t h2 = -f2; - int32_t h3 = -f3; - int32_t h4 = -f4; - int32_t h5 = -f5; - int32_t h6 = -f6; - int32_t h7 = -f7; - int32_t h8 = -f8; - int32_t h9 = -f9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* From fe_sq.c */ - -/* -h = f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -static void fe_sq(fe h, const fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t f0_2 = 2 * f0; - int32_t f1_2 = 2 * f1; - int32_t f2_2 = 2 * f2; - int32_t f3_2 = 2 * f3; - int32_t f4_2 = 2 * f4; - int32_t f5_2 = 2 * f5; - int32_t f6_2 = 2 * f6; - int32_t f7_2 = 2 * f7; - int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ - int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ - int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ - int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ - int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ - int64_t f0f0 = f0 * (int64_t) f0; - int64_t f0f1_2 = f0_2 * (int64_t) f1; - int64_t f0f2_2 = f0_2 * (int64_t) f2; - int64_t f0f3_2 = f0_2 * (int64_t) f3; - int64_t f0f4_2 = f0_2 * (int64_t) f4; - int64_t f0f5_2 = f0_2 * (int64_t) f5; - int64_t f0f6_2 = f0_2 * (int64_t) f6; - int64_t f0f7_2 = f0_2 * (int64_t) f7; - int64_t f0f8_2 = f0_2 * (int64_t) f8; - int64_t f0f9_2 = f0_2 * (int64_t) f9; - int64_t f1f1_2 = f1_2 * (int64_t) f1; - int64_t f1f2_2 = f1_2 * (int64_t) f2; - int64_t f1f3_4 = f1_2 * (int64_t) f3_2; - int64_t f1f4_2 = f1_2 * (int64_t) f4; - int64_t f1f5_4 = f1_2 * (int64_t) f5_2; - int64_t f1f6_2 = f1_2 * (int64_t) f6; - int64_t f1f7_4 = f1_2 * (int64_t) f7_2; - int64_t f1f8_2 = f1_2 * (int64_t) f8; - int64_t f1f9_76 = f1_2 * (int64_t) f9_38; - int64_t f2f2 = f2 * (int64_t) f2; - int64_t f2f3_2 = f2_2 * (int64_t) f3; - int64_t f2f4_2 = f2_2 * (int64_t) f4; - int64_t f2f5_2 = f2_2 * (int64_t) f5; - int64_t f2f6_2 = f2_2 * (int64_t) f6; - int64_t f2f7_2 = f2_2 * (int64_t) f7; - int64_t f2f8_38 = f2_2 * (int64_t) f8_19; - int64_t f2f9_38 = f2 * (int64_t) f9_38; - int64_t f3f3_2 = f3_2 * (int64_t) f3; - int64_t f3f4_2 = f3_2 * (int64_t) f4; - int64_t f3f5_4 = f3_2 * (int64_t) f5_2; - int64_t f3f6_2 = f3_2 * (int64_t) f6; - int64_t f3f7_76 = f3_2 * (int64_t) f7_38; - int64_t f3f8_38 = f3_2 * (int64_t) f8_19; - int64_t f3f9_76 = f3_2 * (int64_t) f9_38; - int64_t f4f4 = f4 * (int64_t) f4; - int64_t f4f5_2 = f4_2 * (int64_t) f5; - int64_t f4f6_38 = f4_2 * (int64_t) f6_19; - int64_t f4f7_38 = f4 * (int64_t) f7_38; - int64_t f4f8_38 = f4_2 * (int64_t) f8_19; - int64_t f4f9_38 = f4 * (int64_t) f9_38; - int64_t f5f5_38 = f5 * (int64_t) f5_38; - int64_t f5f6_38 = f5_2 * (int64_t) f6_19; - int64_t f5f7_76 = f5_2 * (int64_t) f7_38; - int64_t f5f8_38 = f5_2 * (int64_t) f8_19; - int64_t f5f9_76 = f5_2 * (int64_t) f9_38; - int64_t f6f6_19 = f6 * (int64_t) f6_19; - int64_t f6f7_38 = f6 * (int64_t) f7_38; - int64_t f6f8_38 = f6_2 * (int64_t) f8_19; - int64_t f6f9_38 = f6 * (int64_t) f9_38; - int64_t f7f7_38 = f7 * (int64_t) f7_38; - int64_t f7f8_38 = f7_2 * (int64_t) f8_19; - int64_t f7f9_76 = f7_2 * (int64_t) f9_38; - int64_t f8f8_19 = f8 * (int64_t) f8_19; - int64_t f8f9_38 = f8 * (int64_t) f9_38; - int64_t f9f9_38 = f9 * (int64_t) f9_38; - int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* From fe_sq2.c */ - -/* -h = 2 * f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -static void fe_sq2(fe h, const fe f) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t f0_2 = 2 * f0; - int32_t f1_2 = 2 * f1; - int32_t f2_2 = 2 * f2; - int32_t f3_2 = 2 * f3; - int32_t f4_2 = 2 * f4; - int32_t f5_2 = 2 * f5; - int32_t f6_2 = 2 * f6; - int32_t f7_2 = 2 * f7; - int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ - int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ - int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ - int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ - int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ - int64_t f0f0 = f0 * (int64_t) f0; - int64_t f0f1_2 = f0_2 * (int64_t) f1; - int64_t f0f2_2 = f0_2 * (int64_t) f2; - int64_t f0f3_2 = f0_2 * (int64_t) f3; - int64_t f0f4_2 = f0_2 * (int64_t) f4; - int64_t f0f5_2 = f0_2 * (int64_t) f5; - int64_t f0f6_2 = f0_2 * (int64_t) f6; - int64_t f0f7_2 = f0_2 * (int64_t) f7; - int64_t f0f8_2 = f0_2 * (int64_t) f8; - int64_t f0f9_2 = f0_2 * (int64_t) f9; - int64_t f1f1_2 = f1_2 * (int64_t) f1; - int64_t f1f2_2 = f1_2 * (int64_t) f2; - int64_t f1f3_4 = f1_2 * (int64_t) f3_2; - int64_t f1f4_2 = f1_2 * (int64_t) f4; - int64_t f1f5_4 = f1_2 * (int64_t) f5_2; - int64_t f1f6_2 = f1_2 * (int64_t) f6; - int64_t f1f7_4 = f1_2 * (int64_t) f7_2; - int64_t f1f8_2 = f1_2 * (int64_t) f8; - int64_t f1f9_76 = f1_2 * (int64_t) f9_38; - int64_t f2f2 = f2 * (int64_t) f2; - int64_t f2f3_2 = f2_2 * (int64_t) f3; - int64_t f2f4_2 = f2_2 * (int64_t) f4; - int64_t f2f5_2 = f2_2 * (int64_t) f5; - int64_t f2f6_2 = f2_2 * (int64_t) f6; - int64_t f2f7_2 = f2_2 * (int64_t) f7; - int64_t f2f8_38 = f2_2 * (int64_t) f8_19; - int64_t f2f9_38 = f2 * (int64_t) f9_38; - int64_t f3f3_2 = f3_2 * (int64_t) f3; - int64_t f3f4_2 = f3_2 * (int64_t) f4; - int64_t f3f5_4 = f3_2 * (int64_t) f5_2; - int64_t f3f6_2 = f3_2 * (int64_t) f6; - int64_t f3f7_76 = f3_2 * (int64_t) f7_38; - int64_t f3f8_38 = f3_2 * (int64_t) f8_19; - int64_t f3f9_76 = f3_2 * (int64_t) f9_38; - int64_t f4f4 = f4 * (int64_t) f4; - int64_t f4f5_2 = f4_2 * (int64_t) f5; - int64_t f4f6_38 = f4_2 * (int64_t) f6_19; - int64_t f4f7_38 = f4 * (int64_t) f7_38; - int64_t f4f8_38 = f4_2 * (int64_t) f8_19; - int64_t f4f9_38 = f4 * (int64_t) f9_38; - int64_t f5f5_38 = f5 * (int64_t) f5_38; - int64_t f5f6_38 = f5_2 * (int64_t) f6_19; - int64_t f5f7_76 = f5_2 * (int64_t) f7_38; - int64_t f5f8_38 = f5_2 * (int64_t) f8_19; - int64_t f5f9_76 = f5_2 * (int64_t) f9_38; - int64_t f6f6_19 = f6 * (int64_t) f6_19; - int64_t f6f7_38 = f6 * (int64_t) f7_38; - int64_t f6f8_38 = f6_2 * (int64_t) f8_19; - int64_t f6f9_38 = f6 * (int64_t) f9_38; - int64_t f7f7_38 = f7 * (int64_t) f7_38; - int64_t f7f8_38 = f7_2 * (int64_t) f8_19; - int64_t f7f9_76 = f7_2 * (int64_t) f9_38; - int64_t f8f8_19 = f8 * (int64_t) f8_19; - int64_t f8f9_38 = f8 * (int64_t) f9_38; - int64_t f9f9_38 = f9 * (int64_t) f9_38; - int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - h0 += h0; - h1 += h1; - h2 += h2; - h3 += h3; - h4 += h4; - h5 += h5; - h6 += h6; - h7 += h7; - h8 += h8; - h9 += h9; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* From fe_sub.c */ - -/* -h = f - g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -//x -static void fe_sub(fe h, const fe f, const fe g) { - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t h0 = f0 - g0; - int32_t h1 = f1 - g1; - int32_t h2 = f2 - g2; - int32_t h3 = f3 - g3; - int32_t h4 = f4 - g4; - int32_t h5 = f5 - g5; - int32_t h6 = f6 - g6; - int32_t h7 = f7 - g7; - int32_t h8 = f8 - g8; - int32_t h9 = f9 - g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* From fe_tobytes.c */ - -/* -Preconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. - -Write p=2^255-19; q=floor(h/p). -Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). - -Proof: - Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. - Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. - - Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). - Then 0> 25; - q = (h0 + q) >> 26; - q = (h1 + q) >> 25; - q = (h2 + q) >> 26; - q = (h3 + q) >> 25; - q = (h4 + q) >> 26; - q = (h5 + q) >> 25; - q = (h6 + q) >> 26; - q = (h7 + q) >> 25; - q = (h8 + q) >> 26; - q = (h9 + q) >> 25; - - /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ - h0 += 19 * q; - /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ - - carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26; - carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; - carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; - carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; - carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; - carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; - carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; - carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; - carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; - carry9 = h9 >> 25; h9 -= carry9 << 25; - /* h10 = carry9 */ - - /* - Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. - Have h0+...+2^230 h9 between 0 and 2^255-1; - evidently 2^255 h10-2^255 q = 0. - Goal: Output h0+...+2^230 h9. - */ - - s[0] = h0 >> 0; - s[1] = h0 >> 8; - s[2] = h0 >> 16; - s[3] = (h0 >> 24) | (h1 << 2); - s[4] = h1 >> 6; - s[5] = h1 >> 14; - s[6] = (h1 >> 22) | (h2 << 3); - s[7] = h2 >> 5; - s[8] = h2 >> 13; - s[9] = (h2 >> 21) | (h3 << 5); - s[10] = h3 >> 3; - s[11] = h3 >> 11; - s[12] = (h3 >> 19) | (h4 << 6); - s[13] = h4 >> 2; - s[14] = h4 >> 10; - s[15] = h4 >> 18; - s[16] = h5 >> 0; - s[17] = h5 >> 8; - s[18] = h5 >> 16; - s[19] = (h5 >> 24) | (h6 << 1); - s[20] = h6 >> 7; - s[21] = h6 >> 15; - s[22] = (h6 >> 23) | (h7 << 3); - s[23] = h7 >> 5; - s[24] = h7 >> 13; - s[25] = (h7 >> 21) | (h8 << 4); - s[26] = h8 >> 4; - s[27] = h8 >> 12; - s[28] = (h8 >> 20) | (h9 << 6); - s[29] = h9 >> 2; - s[30] = h9 >> 10; - s[31] = h9 >> 18; -} - -/* From ge_add.c */ - -//x -void ge_add(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { - fe t0; - fe_add(r->X, p->Y, p->X); - fe_sub(r->Y, p->Y, p->X); - fe_mul(r->Z, r->X, q->YplusX); - fe_mul(r->Y, r->Y, q->YminusX); - fe_mul(r->T, q->T2d, p->T); - fe_mul(r->X, p->Z, q->Z); - fe_add(t0, r->X, r->X); - fe_sub(r->X, r->Z, r->Y); - fe_add(r->Y, r->Z, r->Y); - fe_add(r->Z, t0, r->T); - fe_sub(r->T, t0, r->T); -} - -/* From ge_double_scalarmult.c, modified */ - -static void slide(signed char *r, const unsigned char *a) { - int i; - int b; - int k; - - //this loop just makes a binary string out of a - //e.g. a = {3, 0, 0, ...} then r = 110000.... - for (i = 0; i < 256; ++i) { - r[i] = 1 & (a[i >> 3] >> (i & 7)); - } - - for (i = 0; i < 256; ++i) { - if (r[i]) { - for (b = 1; b <= 6 && i + b < 256; ++b) { - if (r[i + b]) { - if (r[i] + (r[i + b] << b) <= 15) { - r[i] += r[i + b] << b; r[i + b] = 0; - } else if (r[i] - (r[i + b] << b) >= -15) { - r[i] -= r[i + b] << b; - for (k = i + b; k < 256; ++k) { - if (!r[k]) { - r[k] = 1; - break; - } - r[k] = 0; - } - } else - break; - } - } - } - } -} - -//double scalar mult precomp -void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s) { - ge_p1p1 t; - ge_p3 s2, u; - ge_p3_to_cached(&r[0], s); - ge_p3_dbl(&t, s); ge_p1p1_to_p3(&s2, &t); - ge_add(&t, &s2, &r[0]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[1], &u); - ge_add(&t, &s2, &r[1]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[2], &u); - ge_add(&t, &s2, &r[2]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[3], &u); - ge_add(&t, &s2, &r[3]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[4], &u); - ge_add(&t, &s2, &r[4]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[5], &u); - ge_add(&t, &s2, &r[5]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[6], &u); - ge_add(&t, &s2, &r[6]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[7], &u); -} - -/* -r = a * A + b * B -where a = a[0]+256*a[1]+...+256^31 a[31]. -and b = b[0]+256*b[1]+...+256^31 b[31]. -B is the Ed25519 base point (x,4/5) with x positive. -*/ - -//this is a really simple alg. actually -void ge_double_scalarmult_base_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b) { - signed char aslide[256]; - signed char bslide[256]; - ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ - ge_p1p1 t; - ge_p3 u; - int i; - - slide(aslide, a); - slide(bslide, b); - ge_dsm_precomp(Ai, A);/* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ - - ge_p2_0(r); - - for (i = 255; i >= 0; --i) { - //so this gets us to the highest i such that both have a nonzero - if (aslide[i] || bslide[i]) break; - } - - for (; i >= 0; --i) { - ge_p2_dbl(&t, r);//simple double and add - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_madd(&t, &u, &ge_Bi[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_msub(&t, &u, &ge_Bi[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r, &t); - } -} - -/* From ge_frombytes.c, modified */ -//this is like xrecover .. -//x -int ge_frombytes_vartime(ge_p3 *h, const unsigned char *s) { - fe u; - fe v; - fe vxx; - fe check; - - /* From fe_frombytes.c */ - - int64_t h0 = load_4(s); - int64_t h1 = load_3(s + 4) << 6; - int64_t h2 = load_3(s + 7) << 5; - int64_t h3 = load_3(s + 10) << 3; - int64_t h4 = load_3(s + 13) << 2; - int64_t h5 = load_4(s + 16); - int64_t h6 = load_3(s + 20) << 7; - int64_t h7 = load_3(s + 23) << 5; - int64_t h8 = load_3(s + 26) << 4; - int64_t h9 = (load_3(s + 29) & 8388607) << 2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - /* Validate the number to be canonical */ - if (h9 == 33554428 && h8 == 268435440 && h7 == 536870880 && h6 == 2147483520 && - h5 == 4294967295 && h4 == 67108860 && h3 == 134217720 && h2 == 536870880 && - h1 == 1073741760 && h0 >= 4294967277) { - return -1; - } - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - h->Y[0] = h0; - h->Y[1] = h1; - h->Y[2] = h2; - h->Y[3] = h3; - h->Y[4] = h4; - h->Y[5] = h5; - h->Y[6] = h6; - h->Y[7] = h7; - h->Y[8] = h8; - h->Y[9] = h9; - - /* End fe_frombytes.c */ - - fe_1(h->Z); - fe_sq(u, h->Y); - fe_mul(v, u, fe_d); - fe_sub(u, u, h->Z); /* u = y^2-1 */ - fe_add(v, v, h->Z); /* v = dy^2+1 */ - - fe_divpowm1(h->X, u, v); /* x = uv^3(uv^7)^((q-5)/8) */ - - fe_sq(vxx, h->X); - fe_mul(vxx, vxx, v); - fe_sub(check, vxx, u); /* vx^2-u */ - if (fe_isnonzero(check)) { - fe_add(check, vxx, u); /* vx^2+u */ - if (fe_isnonzero(check)) { - return -1; - } - fe_mul(h->X, h->X, fe_sqrtm1); //this is mapping X to X * sqrt(-1) c.f. 3.1 in hisil, dong, etc. - } - - if (fe_isnegative(h->X) != (s[31] >> 7)) { - /* If x = 0, the sign must be positive */ - if (!fe_isnonzero(h->X)) { - return -1; - } - fe_neg(h->X, h->X); - } - - fe_mul(h->T, h->X, h->Y); - return 0; -} - -/* From ge_madd.c */ - -/* -r = p + q -*/ - -//x -static void ge_madd(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { - fe t0; - fe_add(r->X, p->Y, p->X); - fe_sub(r->Y, p->Y, p->X); - fe_mul(r->Z, r->X, q->yplusx); - fe_mul(r->Y, r->Y, q->yminusx); - fe_mul(r->T, q->xy2d, p->T); - fe_add(t0, p->Z, p->Z); - fe_sub(r->X, r->Z, r->Y); - fe_add(r->Y, r->Z, r->Y); - fe_add(r->Z, t0, r->T); - fe_sub(r->T, t0, r->T); -} - -/* From ge_msub.c */ - -/* -r = p - q -*/ - -//x -static void ge_msub(ge_p1p1 *r, const ge_p3 *p, const ge_precomp *q) { - fe t0; - fe_add(r->X, p->Y, p->X); - fe_sub(r->Y, p->Y, p->X); - fe_mul(r->Z, r->X, q->yminusx); - fe_mul(r->Y, r->Y, q->yplusx); - fe_mul(r->T, q->xy2d, p->T); - fe_add(t0, p->Z, p->Z); - fe_sub(r->X, r->Z, r->Y); - fe_add(r->Y, r->Z, r->Y); - fe_sub(r->Z, t0, r->T); - fe_add(r->T, t0, r->T); -} - -/* From ge_p1p1_to_p2.c */ - -/* -r = p -*/ - -//x -void ge_p1p1_to_p2(ge_p2 *r, const ge_p1p1 *p) { - fe_mul(r->X, p->X, p->T); - fe_mul(r->Y, p->Y, p->Z); - fe_mul(r->Z, p->Z, p->T); -} - -/* From ge_p1p1_to_p3.c */ - -/* -r = p -*/ - -//x -void ge_p1p1_to_p3(ge_p3 *r, const ge_p1p1 *p) { - fe_mul(r->X, p->X, p->T); - fe_mul(r->Y, p->Y, p->Z); - fe_mul(r->Z, p->Z, p->T); - fe_mul(r->T, p->X, p->Y); -} - -/* From ge_p2_0.c */ - -//x -static void ge_p2_0(ge_p2 *h) { - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); -} - -/* From ge_p2_dbl.c */ - -/* -r = 2 * p -*/ - -//x -void ge_p2_dbl(ge_p1p1 *r, const ge_p2 *p) { - fe t0; - fe_sq(r->X, p->X); - fe_sq(r->Z, p->Y); - fe_sq2(r->T, p->Z); - fe_add(r->Y, p->X, p->Y); - fe_sq(t0, r->Y); - fe_add(r->Y, r->Z, r->X); - fe_sub(r->Z, r->Z, r->X); - fe_sub(r->X, t0, r->Y); - fe_sub(r->T, r->T, r->Z); -} - -/* From ge_p3_0.c */ - -//x -static void ge_p3_0(ge_p3 *h) { - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); - fe_0(h->T); -} - -/* From ge_p3_dbl.c */ - -/* -r = 2 * p -*/ - -//x -static void ge_p3_dbl(ge_p1p1 *r, const ge_p3 *p) { - ge_p2 q; - ge_p3_to_p2(&q, p); - ge_p2_dbl(r, &q); -} - -/* From ge_p3_to_cached.c */ - -/* -r = p -*/ - -//x -void ge_p3_to_cached(ge_cached *r, const ge_p3 *p) { - fe_add(r->YplusX, p->Y, p->X); - fe_sub(r->YminusX, p->Y, p->X); - fe_copy(r->Z, p->Z); - fe_mul(r->T2d, p->T, fe_d2); -} - -/* From ge_p3_to_p2.c */ - -/* -r = p -*/ - -//x -void ge_p3_to_p2(ge_p2 *r, const ge_p3 *p) { - fe_copy(r->X, p->X); - fe_copy(r->Y, p->Y); - fe_copy(r->Z, p->Z); -} - -/* From ge_p3_tobytes.c */ - -//x -void ge_p3_tobytes(unsigned char *s, const ge_p3 *h) { - fe recip; - fe x; - fe y; - - fe_invert(recip, h->Z); - fe_mul(x, h->X, recip); - fe_mul(y, h->Y, recip); - fe_tobytes(s, y); - s[31] ^= fe_isnegative(x) << 7; -} - -/* From ge_precomp_0.c */ - -//x -static void ge_precomp_0(ge_precomp *h) { - fe_1(h->yplusx); - fe_1(h->yminusx); - fe_0(h->xy2d); -} - -/* From ge_scalarmult_base.c */ - -//x -static unsigned char equal(signed char b, signed char c) { - unsigned char ub = b; - unsigned char uc = c; - unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ - uint32_t y = x; /* 0: yes; 1..255: no */ - y -= 1; /* 4294967295: yes; 0..254: no */ - y >>= 31; /* 1: yes; 0: no */ - return y; -} - -static unsigned char negative(signed char b) { - unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ - x >>= 63; /* 1: yes; 0: no */ - return x; -} - -static void ge_precomp_cmov(ge_precomp *t, const ge_precomp *u, unsigned char b) { - fe_cmov(t->yplusx, u->yplusx, b); - fe_cmov(t->yminusx, u->yminusx, b); - fe_cmov(t->xy2d, u->xy2d, b); -} - -static void select(ge_precomp *t, int pos, signed char b) { - ge_precomp minust; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - - ge_precomp_0(t); - ge_precomp_cmov(t, &ge_base[pos][0], equal(babs, 1)); - ge_precomp_cmov(t, &ge_base[pos][1], equal(babs, 2)); - ge_precomp_cmov(t, &ge_base[pos][2], equal(babs, 3)); - ge_precomp_cmov(t, &ge_base[pos][3], equal(babs, 4)); - ge_precomp_cmov(t, &ge_base[pos][4], equal(babs, 5)); - ge_precomp_cmov(t, &ge_base[pos][5], equal(babs, 6)); - ge_precomp_cmov(t, &ge_base[pos][6], equal(babs, 7)); - ge_precomp_cmov(t, &ge_base[pos][7], equal(babs, 8)); - fe_copy(minust.yplusx, t->yminusx); - fe_copy(minust.yminusx, t->yplusx); - fe_neg(minust.xy2d, t->xy2d); - ge_precomp_cmov(t, &minust, bnegative); -} - -/* -h = a * B -where a = a[0]+256*a[1]+...+256^31 a[31] -B is the Ed25519 base point (x,4/5) with x positive. - -Preconditions: - a[31] <= 127 -*/ - -void ge_scalarmult_base(ge_p3 *h, const unsigned char *a) { - signed char e[64]; - signed char carry; - ge_p1p1 r; - ge_p2 s; - ge_precomp t; - int i; - - for (i = 0; i < 32; ++i) { - e[2 * i + 0] = (a[i] >> 0) & 15; - e[2 * i + 1] = (a[i] >> 4) & 15; - } - /* each e[i] is between 0 and 15 */ - /* e[63] is between 0 and 7 */ - - carry = 0; - for (i = 0; i < 63; ++i) { - e[i] += carry; - carry = e[i] + 8; - carry >>= 4; - e[i] -= carry << 4; - } - e[63] += carry; - /* each e[i] is between -8 and 8 */ - - ge_p3_0(h); - //note, these are indexing from 1, 3, 5, etc. - for (i = 1; i < 64; i += 2) { - select(&t, i / 2, e[i]); //here's where you grab multiples of the basepoint .. - //so must be doing e P = (e[0] (2^4)^0 P + e[1] (2^4)^1 P + e[2] (2^4)^2 P + ...) - //except, probably writing in big-endian to make more sense.. - //and the e[i] P are going to be pre-computed... - //so have to wonder if by precomputing more, if can save time?? - ge_madd(&r, h, &t); ge_p1p1_to_p3(h, &r); - } - - ge_p3_dbl(&r, h); ge_p1p1_to_p2(&s, &r); - ge_p2_dbl(&r, &s); ge_p1p1_to_p2(&s, &r); - ge_p2_dbl(&r, &s); ge_p1p1_to_p2(&s, &r); - ge_p2_dbl(&r, &s); ge_p1p1_to_p3(h, &r); - - //note, these are indexing from 0, 2, 4, etc. - for (i = 0; i < 64; i += 2) { - select(&t, i / 2, e[i]); - ge_madd(&r, h, &t); ge_p1p1_to_p3(h, &r); - } -} - -/* From ge_sub.c */ - -/* -r = p - q -*/ - -//x -static void ge_sub(ge_p1p1 *r, const ge_p3 *p, const ge_cached *q) { - fe t0; - fe_add(r->X, p->Y, p->X); - fe_sub(r->Y, p->Y, p->X); - fe_mul(r->Z, r->X, q->YminusX); - fe_mul(r->Y, r->Y, q->YplusX); - fe_mul(r->T, q->T2d, p->T); - fe_mul(r->X, p->Z, q->Z); - fe_add(t0, r->X, r->X); - fe_sub(r->X, r->Z, r->Y); - fe_add(r->Y, r->Z, r->Y); - fe_sub(r->Z, t0, r->T); - fe_add(r->T, t0, r->T); -} - -/* From ge_tobytes.c */ - -//x -void ge_tobytes(unsigned char *s, const ge_p2 *h) { - fe recip; - fe x; - fe y; - - fe_invert(recip, h->Z); - fe_mul(x, h->X, recip); - fe_mul(y, h->Y, recip); - fe_tobytes(s, y); - s[31] ^= fe_isnegative(x) << 7; -} - -/* From sc_reduce.c */ - -/* -Input: - s[0]+256*s[1]+...+256^63*s[63] = s - -Output: - s[0]+256*s[1]+...+256^31*s[31] = s mod l - where l = 2^252 + 27742317777372353535851937790883648493. - Overwrites s in place. -*/ - -//x -void sc_reduce(unsigned char *s) { - //the point is to load in 21 bits at a time.. - //Mininero should give you the ints 2097151, the shifts below, and either load 3 or 4 - int64_t s0 = 2097151 & load_3(s); //2097151 is 21 1's in binary, so there are possible 5 bits left over.. - int64_t s1 = 2097151 & (load_4(s + 2) >> 5); //now you start at 2^16, so you have to move right 5 bits to 2^21.., the 2 comes from the fact that you loaded 3 last time.. - int64_t s2 = 2097151 & (load_3(s + 5) >> 2); //in last one you had bits 22 ->42, you are starting at (2^8)^5 = 2^40, so need to move right 2 bits... - int64_t s3 = 2097151 & (load_4(s + 7) >> 7); //etc... - int64_t s4 = 2097151 & (load_4(s + 10) >> 4); //ahh, these are "int 64;s" - int64_t s5 = 2097151 & (load_3(s + 13) >> 1); //not uint 64s - int64_t s6 = 2097151 & (load_4(s + 15) >> 6); - int64_t s7 = 2097151 & (load_3(s + 18) >> 3); - int64_t s8 = 2097151 & load_3(s + 21); - int64_t s9 = 2097151 & (load_4(s + 23) >> 5); - int64_t s10 = 2097151 & (load_3(s + 26) >> 2); - int64_t s11 = 2097151 & (load_4(s + 28) >> 7); - int64_t s12 = 2097151 & (load_4(s + 31) >> 4); - int64_t s13 = 2097151 & (load_3(s + 34) >> 1); - int64_t s14 = 2097151 & (load_4(s + 36) >> 6); - int64_t s15 = 2097151 & (load_3(s + 39) >> 3); - int64_t s16 = 2097151 & load_3(s + 42); - int64_t s17 = 2097151 & (load_4(s + 44) >> 5); - int64_t s18 = 2097151 & (load_3(s + 47) >> 2); - int64_t s19 = 2097151 & (load_4(s + 49) >> 7); - int64_t s20 = 2097151 & (load_4(s + 52) >> 4); - int64_t s21 = 2097151 & (load_3(s + 55) >> 1); - int64_t s22 = 2097151 & (load_4(s + 57) >> 6); - int64_t s23 = (load_4(s + 60) >> 3); //note no &2097151 here .. - //so rather than doing 24 = 512 - //we've done 23 = 504 - //so curve size rather than - //size of s - //this should be handled - //at the end with those - //two extra reductions - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - int64_t carry12; - int64_t carry13; - int64_t carry14; - int64_t carry15; - int64_t carry16; - //17 carries because 11, 12, ... 16 = #digits in l - - //reduce first 105 bits.. to go from 504 to 399 - //Note that 683901 * 2^(5*21) - 136657 * 2^(4 * 21) + ... - 66643 = 27742317777372353535851937790883648493, which is c in the curve order.. - s11 += s23 * 666643; // =1430509 - 2 ^ 21 //note there is a 12 step difference, 12^21 = 252 - //so you subtract q 12^21 and then add c at each step.. - //just have to be careful of the carries .. - //If you are using unsigned int's, you had better carry at each step - //so the first step is to factorize 252 and whatever radix - //must be in those factors.. - s12 += s23 * 470296; // = 1626855 - 2^21 - 1 - s13 += s23 * 654183; // = 1442968 - 2 ^ 21 - 1? - s14 -= s23 * 997805; //note the negative ones are same as result from toDigits - s15 += s23 * 136657; // 1960495 - 2 ** 21 - s16 -= s23 * 683901; //note negative ones are same - - s10 += s22 * 666643; //22 - 10 = 12, 12 * 21 = 252 - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - - s9 += s21 * 666643; //21 - 9 = 12 - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - //so we repeat this until we get down to s11 - //note that 11 * 21 = 231 - - //1st carry... - //note span = 6 here - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;//take parts that are more than 21 bits in new s6 and add to s7.. - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - //span = 5 here - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - //reduce 105 bits to go from 399 to 294 - s5 += s17 * 666643; //17 - 5 = 12 = 252/21 - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - - s0 += s12 * 666643; //12 - 0 = 12.. - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - //2nd carry - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - //reduce another 21 bits... go from 294 to 273 - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - //3rd carry - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - //reduce last 21 bits to go from 273 to get to 2^252.. - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - //carry - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - //go from 2^[256/12]'s to 2^[256/32]'s - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); // | since there is no overlap - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -/* New code */ -/* (u / v)^(m + 1) */ -static void fe_divpowm1(fe r, const fe u, const fe v) { - fe v3, uv7, t0, t1, t2; - int i; - - fe_sq(v3, v); - fe_mul(v3, v3, v); /* v3 = v^3 */ - fe_sq(uv7, v3); - fe_mul(uv7, uv7, v); - fe_mul(uv7, uv7, u); /* uv7 = uv^7 */ - - /*fe_pow22523(uv7, uv7);*/ - - /* From fe_pow22523.c */ - - fe_sq(t0, uv7); - fe_sq(t1, t0); - fe_sq(t1, t1); - fe_mul(t1, uv7, t1); - fe_mul(t0, t0, t1); - fe_sq(t0, t0); - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 4; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 9; ++i) { - fe_sq(t1, t1); - } - fe_mul(t1, t1, t0); - fe_sq(t2, t1); - for (i = 0; i < 19; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - for (i = 0; i < 10; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 49; ++i) { - fe_sq(t1, t1); - } - fe_mul(t1, t1, t0); - fe_sq(t2, t1); - for (i = 0; i < 99; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - for (i = 0; i < 50; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t0, t0); - fe_sq(t0, t0); - fe_mul(t0, t0, uv7); - - /* End fe_pow22523.c */ - /* t0 = (uv^7)^((q-5)/8) */ - fe_mul(t0, t0, v3); - fe_mul(r, t0, u); /* u^(m+1)v^(-(m+1)) */ -} - -static void ge_cached_0(ge_cached *r) { - fe_1(r->YplusX); - fe_1(r->YminusX); - fe_1(r->Z); - fe_0(r->T2d); -} - -static void ge_cached_cmov(ge_cached *t, const ge_cached *u, unsigned char b) { - fe_cmov(t->YplusX, u->YplusX, b); - fe_cmov(t->YminusX, u->YminusX, b); - fe_cmov(t->Z, u->Z, b); - fe_cmov(t->T2d, u->T2d, b); -} - -/* Assumes that a[31] <= 127 */ -void ge_scalarmult(ge_p2 *r, const unsigned char *a, const ge_p3 *A) { - signed char e[64]; - int carry, carry2, i; - ge_cached Ai[8]; /* 1 * A, 2 * A, ..., 8 * A */ - ge_p1p1 t; - ge_p3 u; - - carry = 0; /* 0..1 */ - for (i = 0; i < 31; i++) { - carry += a[i]; /* 0..256 */ - carry2 = (carry + 8) >> 4; /* 0..16 */ - e[2 * i] = carry - (carry2 << 4); /* -8..7 */ - carry = (carry2 + 8) >> 4; /* 0..1 */ - e[2 * i + 1] = carry2 - (carry << 4); /* -8..7 */ - } - carry += a[31]; /* 0..128 */ - carry2 = (carry + 8) >> 4; /* 0..8 */ - e[62] = carry - (carry2 << 4); /* -8..7 */ - e[63] = carry2; /* 0..8 */ - - ge_p3_to_cached(&Ai[0], A); - for (i = 0; i < 7; i++) { - ge_add(&t, A, &Ai[i]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[i + 1], &u); - } - - ge_p2_0(r); - for (i = 63; i >= 0; i--) { - signed char b = e[i]; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - ge_cached cur, minuscur; - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p3(&u, &t); - ge_cached_0(&cur); - ge_cached_cmov(&cur, &Ai[0], equal(babs, 1)); - ge_cached_cmov(&cur, &Ai[1], equal(babs, 2)); - ge_cached_cmov(&cur, &Ai[2], equal(babs, 3)); - ge_cached_cmov(&cur, &Ai[3], equal(babs, 4)); - ge_cached_cmov(&cur, &Ai[4], equal(babs, 5)); - ge_cached_cmov(&cur, &Ai[5], equal(babs, 6)); - ge_cached_cmov(&cur, &Ai[6], equal(babs, 7)); - ge_cached_cmov(&cur, &Ai[7], equal(babs, 8)); - fe_copy(minuscur.YplusX, cur.YminusX); - fe_copy(minuscur.YminusX, cur.YplusX); - fe_copy(minuscur.Z, cur.Z); - fe_neg(minuscur.T2d, cur.T2d); - ge_cached_cmov(&cur, &minuscur, bnegative); - ge_add(&t, &u, &cur); - ge_p1p1_to_p2(r, &t); - } -} - -//assume Bi has precomputed multiples -void ge_double_scalarmult_precomp_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b, const ge_dsmp Bi) { - signed char aslide[256]; - signed char bslide[256]; - ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ //precomps - ge_p1p1 t; - ge_p3 u; - int i; - - slide(aslide, a); - slide(bslide, b); - ge_dsm_precomp(Ai, A); - - ge_p2_0(r); - - for (i = 255; i >= 0; --i) { - if (aslide[i] || bslide[i]) break; - } - - for (; i >= 0; --i) { - ge_p2_dbl(&t, r); - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Bi[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Bi[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r, &t); - } -} - -//x -void ge_mul8(ge_p1p1 *r, const ge_p2 *t) { - ge_p2 u; - ge_p2_dbl(r, t); - ge_p1p1_to_p2(&u, r); - ge_p2_dbl(r, &u); - ge_p1p1_to_p2(&u, r); - ge_p2_dbl(r, &u); -} - -//x -void ge_fromfe_frombytes_vartime(ge_p2 *r, const unsigned char *s) { - fe u, v, w, x, y, z; - unsigned char sign; - - /* From fe_frombytes.c */ - - int64_t h0 = load_4(s); - int64_t h1 = load_3(s + 4) << 6; - int64_t h2 = load_3(s + 7) << 5; - int64_t h3 = load_3(s + 10) << 3; - int64_t h4 = load_3(s + 13) << 2; - int64_t h5 = load_4(s + 16); - int64_t h6 = load_3(s + 20) << 7; - int64_t h7 = load_3(s + 23) << 5; - int64_t h8 = load_3(s + 26) << 4; - int64_t h9 = load_3(s + 29) << 2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - u[0] = h0; - u[1] = h1; - u[2] = h2; - u[3] = h3; - u[4] = h4; - u[5] = h5; - u[6] = h6; - u[7] = h7; - u[8] = h8; - u[9] = h9; - - /* End fe_frombytes.c */ - - fe_sq2(v, u); /* 2 * u^2 */ - fe_1(w); - fe_add(w, v, w); /* w = 2 * u^2 + 1 */ - fe_sq(x, w); /* w^2 */ - fe_mul(y, fe_ma2, v); /* -2 * A^2 * u^2 */ - fe_add(x, x, y); /* x = w^2 - 2 * A^2 * u^2 */ - fe_divpowm1(r->X, w, x); /* (w / x)^(m + 1) */ - fe_sq(y, r->X); - fe_mul(x, y, x); - fe_sub(y, w, x); - fe_copy(z, fe_ma); - if (fe_isnonzero(y)) { - fe_add(y, w, x); - if (fe_isnonzero(y)) { - goto negative; - } else { - fe_mul(r->X, r->X, fe_fffb1); - } - } else { - fe_mul(r->X, r->X, fe_fffb2); - } - fe_mul(r->X, r->X, u); /* u * sqrt(2 * A * (A + 2) * w / x) */ - fe_mul(z, z, v); /* -2 * A * u^2 */ - sign = 0; - goto setsign; -negative: - fe_mul(x, x, fe_sqrtm1); - fe_sub(y, w, x); - if (fe_isnonzero(y)) { - assert((fe_add(y, w, x), !fe_isnonzero(y))); - fe_mul(r->X, r->X, fe_fffb3); - } else { - fe_mul(r->X, r->X, fe_fffb4); - } - /* r->X = sqrt(A * (A + 2) * w / x) */ - /* z = -A */ - sign = 1; -setsign: - if (fe_isnegative(r->X) != sign) { - assert(fe_isnonzero(r->X)); - fe_neg(r->X, r->X); - } - fe_add(r->Z, z, w); - fe_sub(r->Y, z, w); - fe_mul(r->X, r->X, r->Z); -#if !defined(NDEBUG) - { - fe check_x, check_y, check_iz, check_v; - fe_invert(check_iz, r->Z); - fe_mul(check_x, r->X, check_iz); - fe_mul(check_y, r->Y, check_iz); - fe_sq(check_x, check_x); - fe_sq(check_y, check_y); - fe_mul(check_v, check_x, check_y); - fe_mul(check_v, fe_d, check_v); - fe_add(check_v, check_v, check_x); - fe_sub(check_v, check_v, check_y); - fe_1(check_x); - fe_add(check_v, check_v, check_x); - assert(!fe_isnonzero(check_v)); - } -#endif -} - -//x -void sc_0(unsigned char *s) { - int i; - for (i = 0; i < 32; i++) { - s[i] = 0; - } -} - -//x -void sc_reduce32(unsigned char *s) { - int64_t s0 = 2097151 & load_3(s); - int64_t s1 = 2097151 & (load_4(s + 2) >> 5); - int64_t s2 = 2097151 & (load_3(s + 5) >> 2); - int64_t s3 = 2097151 & (load_4(s + 7) >> 7); - int64_t s4 = 2097151 & (load_4(s + 10) >> 4); - int64_t s5 = 2097151 & (load_3(s + 13) >> 1); - int64_t s6 = 2097151 & (load_4(s + 15) >> 6); - int64_t s7 = 2097151 & (load_3(s + 18) >> 3); - int64_t s8 = 2097151 & load_3(s + 21); - int64_t s9 = 2097151 & (load_4(s + 23) >> 5); - int64_t s10 = 2097151 & (load_3(s + 26) >> 2); - int64_t s11 = (load_4(s + 28) >> 7); - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -//x -void sc_add(unsigned char *s, const unsigned char *a, const unsigned char *b) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t s0 = a0 + b0; - int64_t s1 = a1 + b1; - int64_t s2 = a2 + b2; - int64_t s3 = a3 + b3; - int64_t s4 = a4 + b4; - int64_t s5 = a5 + b5; - int64_t s6 = a6 + b6; - int64_t s7 = a7 + b7; - int64_t s8 = a8 + b8; - int64_t s9 = a9 + b9; - int64_t s10 = a10 + b10; - int64_t s11 = a11 + b11; - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -//x -void sc_sub(unsigned char *s, const unsigned char *a, const unsigned char *b) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t s0 = a0 - b0; - int64_t s1 = a1 - b1; - int64_t s2 = a2 - b2; - int64_t s3 = a3 - b3; - int64_t s4 = a4 - b4; - int64_t s5 = a5 - b5; - int64_t s6 = a6 - b6; - int64_t s7 = a7 - b7; - int64_t s8 = a8 - b8; - int64_t s9 = a9 - b9; - int64_t s10 = a10 - b10; - int64_t s11 = a11 - b11; - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -/* -Input: - a[0]+256*a[1]+...+256^31*a[31] = a - b[0]+256*b[1]+...+256^31*b[31] = b - c[0]+256*c[1]+...+256^31*c[31] = c - -Output: - s[0]+256*s[1]+...+256^31*s[31] = (c-ab) mod l - where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -//x -void sc_mulsub(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t c0 = 2097151 & load_3(c); - int64_t c1 = 2097151 & (load_4(c + 2) >> 5); - int64_t c2 = 2097151 & (load_3(c + 5) >> 2); - int64_t c3 = 2097151 & (load_4(c + 7) >> 7); - int64_t c4 = 2097151 & (load_4(c + 10) >> 4); - int64_t c5 = 2097151 & (load_3(c + 13) >> 1); - int64_t c6 = 2097151 & (load_4(c + 15) >> 6); - int64_t c7 = 2097151 & (load_3(c + 18) >> 3); - int64_t c8 = 2097151 & load_3(c + 21); - int64_t c9 = 2097151 & (load_4(c + 23) >> 5); - int64_t c10 = 2097151 & (load_3(c + 26) >> 2); - int64_t c11 = (load_4(c + 28) >> 7); - int64_t s0; - int64_t s1; - int64_t s2; - int64_t s3; - int64_t s4; - int64_t s5; - int64_t s6; - int64_t s7; - int64_t s8; - int64_t s9; - int64_t s10; - int64_t s11; - int64_t s12; - int64_t s13; - int64_t s14; - int64_t s15; - int64_t s16; - int64_t s17; - int64_t s18; - int64_t s19; - int64_t s20; - int64_t s21; - int64_t s22; - int64_t s23; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - int64_t carry12; - int64_t carry13; - int64_t carry14; - int64_t carry15; - int64_t carry16; - int64_t carry17; - int64_t carry18; - int64_t carry19; - int64_t carry20; - int64_t carry21; - int64_t carry22; - - s0 = c0 - a0*b0; - s1 = c1 - (a0*b1 + a1*b0); - s2 = c2 - (a0*b2 + a1*b1 + a2*b0); - s3 = c3 - (a0*b3 + a1*b2 + a2*b1 + a3*b0); - s4 = c4 - (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0); - s5 = c5 - (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0); - s6 = c6 - (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0); - s7 = c7 - (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0); - s8 = c8 - (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0); - s9 = c9 - (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0); - s10 = c10 - (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0); - s11 = c11 - (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0); - s12 = -(a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1); - s13 = -(a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2); - s14 = -(a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3); - s15 = -(a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4); - s16 = -(a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5); - s17 = -(a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6); - s18 = -(a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7); - s19 = -(a8*b11 + a9*b10 + a10*b9 + a11*b8); - s20 = -(a9*b11 + a10*b10 + a11*b9); - s21 = -(a10*b11 + a11*b10); - s22 = -a11*b11; - s23 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; - carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; - carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; - carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; - carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -/* Assumes that a != INT64_MIN */ -//x c.f. lt in 32 bit ref -static int64_t signum(int64_t a) { - return (a >> 63) - ((-a) >> 63); -} - -//x -int sc_check(const unsigned char *s) { - int64_t s0 = load_4(s); - int64_t s1 = load_4(s + 4); - int64_t s2 = load_4(s + 8); - int64_t s3 = load_4(s + 12); - int64_t s4 = load_4(s + 16); - int64_t s5 = load_4(s + 20); - int64_t s6 = load_4(s + 24); - int64_t s7 = load_4(s + 28); - return (signum(1559614444 - s0) + (signum(1477600026 - s1) << 1) + (signum(2734136534 - s2) << 2) + (signum(350157278 - s3) << 3) + (signum(-s4) << 4) + (signum(-s5) << 5) + (signum(-s6) << 6) + (signum(268435456 - s7) << 7)) >> 8; -} - -//x -int sc_isnonzero(const unsigned char *s) { - return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | - s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | - s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | - s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; -} diff --git a/src/crypto/shen_ed25519_ref/crypto-ops.h b/src/crypto/shen_ed25519_ref/crypto-ops.h deleted file mode 100644 index 6e1eb19a1..000000000 --- a/src/crypto/shen_ed25519_ref/crypto-ops.h +++ /dev/null @@ -1,148 +0,0 @@ -// Copyright (c) 2014-2015, The Monero Project -// -// All rights reserved. -// -// Redistribution and use in source and binary forms, with or without modification, are -// permitted provided that the following conditions are met: -// -// 1. Redistributions of source code must retain the above copyright notice, this list of -// conditions and the following disclaimer. -// -// 2. Redistributions in binary form must reproduce the above copyright notice, this list -// of conditions and the following disclaimer in the documentation and/or other -// materials provided with the distribution. -// -// 3. Neither the name of the copyright holder nor the names of its contributors may be -// used to endorse or promote products derived from this software without specific -// prior written permission. -// -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY -// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF -// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL -// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, -// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, -// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF -// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -// -// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers -#include - -#pragma once - - -/* From fe.h */ - -//this guy may throw errors in windows -typedef int32_t fe[10]; - -/* From ge.h */ - -typedef struct { - fe X; - fe Y; - fe Z; -} ge_p2; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p3; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p1p1; - -typedef struct { - fe yplusx; - fe yminusx; - fe xy2d; -} ge_precomp; - -typedef struct { - fe YplusX; - fe YminusX; - fe Z; - fe T2d; -} ge_cached; - -/* From ge_add.c */ - -void ge_add(ge_p1p1 *, const ge_p3 *, const ge_cached *); - -/* From ge_double_scalarmult.c, modified */ - -typedef ge_cached ge_dsmp[8]; -extern const ge_precomp ge_Bi[8]; -void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s); -void ge_double_scalarmult_base_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *); - -/* From ge_frombytes.c, modified */ - -extern const fe fe_sqrtm1; -extern const fe fe_d; -int ge_frombytes_vartime(ge_p3 *, const unsigned char *); - -/* From ge_p1p1_to_p2.c */ - -void ge_p1p1_to_p2(ge_p2 *, const ge_p1p1 *); - -/* From ge_p1p1_to_p3.c */ - -void ge_p1p1_to_p3(ge_p3 *, const ge_p1p1 *); - -/* From ge_p2_dbl.c */ - -void ge_p2_dbl(ge_p1p1 *, const ge_p2 *); - -/* From ge_p3_to_cached.c */ - -extern const fe fe_d2; -void ge_p3_to_cached(ge_cached *, const ge_p3 *); - -/* From ge_p3_to_p2.c */ - -void ge_p3_to_p2(ge_p2 *, const ge_p3 *); - -/* From ge_p3_tobytes.c */ - -void ge_p3_tobytes(unsigned char *, const ge_p3 *); - -/* From ge_scalarmult_base.c */ - -extern const ge_precomp ge_base[32][8]; -void ge_scalarmult_base(ge_p3 *, const unsigned char *); - -/* From ge_tobytes.c */ - -void ge_tobytes(unsigned char *, const ge_p2 *); - -/* From sc_reduce.c */ - -void sc_reduce(unsigned char *); - -/* New code */ - -void ge_scalarmult(ge_p2 *, const unsigned char *, const ge_p3 *); -void ge_double_scalarmult_precomp_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *, const ge_dsmp); -void ge_mul8(ge_p1p1 *, const ge_p2 *); -extern const fe fe_ma2; -extern const fe fe_ma; -extern const fe fe_fffb1; -extern const fe fe_fffb2; -extern const fe fe_fffb3; -extern const fe fe_fffb4; -void ge_fromfe_frombytes_vartime(ge_p2 *, const unsigned char *); -void sc_0(unsigned char *); -void sc_reduce32(unsigned char *); -void sc_add(unsigned char *, const unsigned char *, const unsigned char *); -void sc_sub(unsigned char *, const unsigned char *, const unsigned char *); -void sc_mulsub(unsigned char *, const unsigned char *, const unsigned char *, const unsigned char *); -int sc_check(const unsigned char *); -int sc_isnonzero(const unsigned char *); /* Doesn't normalize */ diff --git a/src/crypto/shen_ed25519_ref/crypto_int32.h b/src/crypto/shen_ed25519_ref/crypto_int32.h deleted file mode 100755 index cae135e6e..000000000 --- a/src/crypto/shen_ed25519_ref/crypto_int32.h +++ /dev/null @@ -1,6 +0,0 @@ -#ifndef crypto_int32_h -#define crypto_int32_h - -typedef int crypto_int32; - -#endif diff --git a/src/crypto/shen_ed25519_ref/crypto_sign.h b/src/crypto/shen_ed25519_ref/crypto_sign.h deleted file mode 100755 index afed20821..000000000 --- a/src/crypto/shen_ed25519_ref/crypto_sign.h +++ /dev/null @@ -1,13 +0,0 @@ -#ifndef crypto_sign_edwards25519sha512batch_H -#define crypto_sign_edwards25519sha512batch_H - -#define SECRETKEYBYTES 64 -#define PUBLICKEYBYTES 32 -#define SIGNATUREBYTES 64 - -extern int crypto_sign(unsigned char *,unsigned long long *,const unsigned char *,unsigned long long,const unsigned char *); -extern int crypto_sign_open(unsigned char *,unsigned long long *,const unsigned char *,unsigned long long,const unsigned char *); -extern int crypto_sign_keypair(unsigned char *,unsigned char *); -extern int crypto_sign_publickey(unsigned char *pk, unsigned char *sk, unsigned char *seed); - -#endif diff --git a/src/crypto/shen_ed25519_ref/crypto_uint32.h b/src/crypto/shen_ed25519_ref/crypto_uint32.h deleted file mode 100755 index 21020d7b5..000000000 --- a/src/crypto/shen_ed25519_ref/crypto_uint32.h +++ /dev/null @@ -1,6 +0,0 @@ -#ifndef crypto_uint32_h -#define crypto_uint32_h - -typedef unsigned int crypto_uint32; - -#endif diff --git a/src/crypto/shen_ed25519_ref/crypto_verify_32.h b/src/crypto/shen_ed25519_ref/crypto_verify_32.h deleted file mode 100755 index ad265c7a3..000000000 --- a/src/crypto/shen_ed25519_ref/crypto_verify_32.h +++ /dev/null @@ -1,7 +0,0 @@ -#ifndef crypto_verify_32_H -#define crypto_verify_32_H - -#define crypto_verify_32_ref_BYTES 32 -extern int crypto_verify_32(const unsigned char *,const unsigned char *); - -#endif diff --git a/src/crypto/shen_ed25519_ref/ietf.txt b/src/crypto/shen_ed25519_ref/ietf.txt deleted file mode 100644 index 0736f71ec..000000000 --- a/src/crypto/shen_ed25519_ref/ietf.txt +++ /dev/null @@ -1,1402 +0,0 @@ - - -[Docs] [txt|pdf] [Tracker] [Email] [Diff1] [Diff2] [Nits] - -Versions: 00 01 02 - -Network Working Group S. Josefsson -Internet-Draft SJD AB -Intended status: Informational N. Moeller -Expires: August 26, 2015 - February 22, 2015 - - - EdDSA and Ed25519 - - draft-josefsson-eddsa-ed25519-02 - - -Abstract - - The elliptic curve signature scheme EdDSA and one instance of it - called Ed25519 is described. An example implementation and test - vectors are provided. - -Status of This Memo - - This Internet-Draft is submitted in full conformance with the - provisions of BCP 78 and BCP 79. - - Internet-Drafts are working documents of the Internet Engineering - Task Force (IETF). Note that other groups may also distribute - working documents as Internet-Drafts. The list of current Internet- - Drafts is at http://datatracker.ietf.org/drafts/current/. - - Internet-Drafts are draft documents valid for a maximum of six months - and may be updated, replaced, or obsoleted by other documents at any - time. It is inappropriate to use Internet-Drafts as reference - material or to cite them other than as "work in progress." - - This Internet-Draft will expire on August 26, 2015. - -Copyright Notice - - Copyright (c) 2015 IETF Trust and the persons identified as the - document authors. All rights reserved. - - This document is subject to BCP 78 and the IETF Trust's Legal - Provisions Relating to IETF Documents - (http://trustee.ietf.org/license-info) in effect on the date of - publication of this document. Please review these documents - carefully, as they describe your rights and restrictions with respect - to this document. Code Components extracted from this document must - include Simplified BSD License text as described in Section 4.e of - the Trust Legal Provisions and are provided without warranty as - described in the Simplified BSD License. - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 1] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - -Table of Contents - - 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2 - 2. Notation . . . . . . . . . . . . . . . . . . . . . . . . . . 3 - 3. Background . . . . . . . . . . . . . . . . . . . . . . . . . 3 - 4. EdDSA . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 - 4.1. Encoding . . . . . . . . . . . . . . . . . . . . . . . . 4 - 4.2. Keys . . . . . . . . . . . . . . . . . . . . . . . . . . 5 - 4.3. Sign . . . . . . . . . . . . . . . . . . . . . . . . . . 5 - 4.4. Verify . . . . . . . . . . . . . . . . . . . . . . . . . 5 - 5. Ed25519 . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 - 5.1. Modular arithmetic . . . . . . . . . . . . . . . . . . . 6 - 5.2. Encoding . . . . . . . . . . . . . . . . . . . . . . . . 6 - 5.3. Decoding . . . . . . . . . . . . . . . . . . . . . . . . 6 - 5.4. Point addition . . . . . . . . . . . . . . . . . . . . . 7 - 5.5. Key Generation . . . . . . . . . . . . . . . . . . . . . 8 - 5.6. Sign . . . . . . . . . . . . . . . . . . . . . . . . . . 8 - 5.7. Verify . . . . . . . . . . . . . . . . . . . . . . . . . 9 - 5.8. Python illustration . . . . . . . . . . . . . . . . . . . 9 - 6. Test Vectors for Ed25519 . . . . . . . . . . . . . . . . . . 14 - 7. Acknowledgements . . . . . . . . . . . . . . . . . . . . . . 17 - 8. IANA Considerations . . . . . . . . . . . . . . . . . . . . . 18 - 9. Security Considerations . . . . . . . . . . . . . . . . . . . 18 - 9.1. Side-channel leaks . . . . . . . . . . . . . . . . . . . 18 - 10. References . . . . . . . . . . . . . . . . . . . . . . . . . 18 - 10.1. Normative References . . . . . . . . . . . . . . . . . . 18 - 10.2. Informative References . . . . . . . . . . . . . . . . . 18 - Appendix A. Ed25519 Python Library . . . . . . . . . . . . . . . 19 - Appendix B. Library driver . . . . . . . . . . . . . . . . . . . 23 - Authors' Addresses . . . . . . . . . . . . . . . . . . . . . . . 24 - -1. Introduction - - - The Edwards-curve Digital Signature Algorithm (EdDSA) is a variant of - Schnorr's signature system with Twisted Edwards curves. EdDSA needs - to be instantiated with certain parameters and this document describe - Ed25519 - an instantiation of EdDSA in a curve over GF(2^255-19). To - facilitate adoption in the Internet community of Ed25519, this - document describe the signature scheme in an implementation-oriented - way, and we provide sample code and test vectors. - - The advantages with EdDSA and Ed25519 include: - - 1. High-performance on a variety of platforms. - - 2. Does not require the use of a unique random number for each - signature. - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 2] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - 3. More resilient to side-channel attacks. - - 4. Small public keys (32 bytes) and signatures (64 bytes). - - 5. The formulas are "strongly unified", i.e., they are valid for all - points on the curve, with no exceptions. This obviates the need - for EdDSA to perform expensive point validation on untrusted - public values. - - 6. Collision resilience, meaning that hash-function collisions do - not break this system. - - For further background, see the original EdDSA paper [EDDSA]. - -2. Notation - - - The following notation is used throughout the document: - - GF(p) finite field with p elements - - x^y x multiplied by itself y times - - B generator of the group or subgroup of interest - - n B B added to itself n times. - - h_i the i'th bit of h - - a || b (bit-)string a concatenated with (bit-)string b - -3. Background - - - EdDSA is defined using an elliptic curve over GF(p) of the form - - -x^2 + y^2 = 1 + d x^2 y^2 - - In general, p could be a prime power, but it is usually chosen as a - prime number. It is required that p = 1 modulo 4 (which implies that - -1 is a square modulo p) and that d is a non-square modulo p. For - Ed25519, the curve used is equivalent to Curve25519 [CURVE25519], - under a change of coordinates, which means that the difficulty of the - discrete logarithm problem is the same as for Curve25519. - - Points on this curve form a group under addition, (x3, y3) = (x1, y1) - + (x2, y2), with the formulas - - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 3] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - x1 y2 + x2 y1 y1 y2 + x1 x2 - x3 = -------------------, y3 = ------------------- - 1 + d x1 x2 y1 y2 1 - d x1 x2 y1 y2 - - The neutral element in the group is (0, 1). - - Unlike manyy other curves used for cryptographic applications, these - formulas are "strongly unified": they are valid for all points on the - curve, with no exceptions. In particular, the denominators are non- - zero for all input points. - - There are more efficient formulas, which are still strongly unified, - which use homogeneous coordinates to avoid the expensive modulo p - inversions. See [Faster-ECC] and [Edwards-revisited]. - -4. EdDSA - - - EdDSA is a digital signature system with several parameters. The - generic EdDSA digital signature system is normally not implemented - directly, but instead a particular instance of EdDSA (like Ed25519) - is implemented. A precise explanation of the generic EdDSA is thus - not particulary useful for implementers, but for background and - completeness, a succint description of the generic EdDSA algorithm is - given here. - - EdDSA has seven parameters: - - 1. an integer b >= 10. - - 2. a cryptographic hash function H producing 2b-bit outputs. - - 3. a prime power p congruent to 1 modulo 4. - - 4. a (b-1)-bit encoding of elements of the finite field GF(p). - - 5. a non-square element d of GF(p) - - 6. an element B != (0,1) of the set E = { (x,y) is a member of GF(p) - x GF(p) such that -x^2 + y^2 = 1 + dx^2y^2 }. - - 7. a prime q, of size b-3 bits, such that qB = (0, 1), i.e., q is - the order of B or a multiple thereof. - -4.1. Encoding - - - An element (x,y) of E is encoded as a b-bit string called ENC(x,y) - which is the (b-1)-bit encoding of y concatenated with one bit that - is 1 if x is negative and 0 if x is not negative. Negative elements - - - -Josefsson & Moeller Expires August 26, 2015 [Page 4] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - of GF(q) are those x which the (b-1)-bit encoding of x is - lexicographically larger than the (b-1)-bit encoding of -x. - -4.2. Keys - - - An EdDSA secret key is a b-bit string k. Let the hash H(k) = (h_0, - h_1, ..., h_(2b-1)) determine an integer a which is 2^(b-2) plus the - sum of m = 2^i * h_i for all i equal or larger than 3 and equal to or - less than b-3 such that m is a member of the set { 2^(b-2), 2^(b-2) + - 8, ..., 2^(b-1) - 8 }. The EdDSA public key is ENC(A) = ENC(aB). - The bits h_b, ..., h_(2b-1) is used below during signing. - -4.3. Sign - - - The signature of a message M under a secret key k is the 2b-bit - string ENC(R) || ENC'(S), where ENC'(S) is defined as the b-bit - little-endian encoding of S. R and S are derived as follows. First - define r = H(h_b, ... h_(2b-1)), M) interpreting 2b-bit strings in - little-endian form as integers in {0, 1, ..., 2^(2b)-1}. Let R=rB - and S=(r+H(ENC(R) || ENC(A) || M)a) mod l. - -4.4. Verify - - - To verify a signature ENC(R) || ENC'(S) on a message M under a public - key ENC(A), proceed as follows. Parse the inputs so that A and R is - an element of E, and S is a member of the set {0, 1, ..., l-1 }. - Compute H' = H(ENC(R) || ENC(A) || M) and check the group equation - 8SB = 8R + 8H'A in E. Verification is rejected if parsing fails or - the group equation does not hold. - -5. Ed25519 - - - Theoretically, Ed25519 is EdDSA instantiated with b=256, H being - SHA-512 [RFC4634], p is the prime 2^255-19, the 255-bit encoding of - GF(2^255-19) being the little-endian encoding of {0, 1, ..., - 2^255-20}, q is the prime 2^252 + 0x14def9dea2f79cd65812631a5cf5d3ed, - d = -121665/121666 which is a member of GF(p), and B is the unique - point (x, 4/5) in E for which x is "positive", which with the - encoding used simply means that the least significant bit of x is 0. - The curve p, prime q, d and B follows from [I-D.irtf-cfrg-curves]. - - Written out explicitly, B is the point (15112221349535400772501151409 - 588531511454012693041857206046113283949847762202, 4631683569492647816 - 9428394003475163141307993866256225615783033603165251855960). - - - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 5] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - -5.1. Modular arithmetic - - - For advise on how to implement arithmetic modulo p = 2^255 - 1 - efficiently and securely, see Curve25519 [CURVE25519]. For inversion - modulo p, it is recommended to use the identity x^-1 = x^(p-2) (mod - p). - - For point decoding or "decompression", square roots modulo p are - needed. They can be computed using the Tonelli-Shanks algorithm, or - the special case for p = 5 (mod 8). To find a square root of a, - first compute the candidate root x = a^((p+3)/8) (mod p). Then there - are three cases: - - x^2 = a (mod p). Then x is a square root. - - x^2 = -a (mod p). Then 2^((p-1)/4) x is a square root. - - a is not a square modulo p. - -5.2. Encoding - - - All values are coded as octet strings, and integers are coded using - little endian convention. I.e., a 32-octet string h h[0],...h[31] - represents the integer h[0] + 2^8 h[1] + ... + 2^248 h[31]. - - A curve point (x,y), with coordiantes in the range 0 <= x,y < p, is - coded as follows. First encode the y-coordinate as a little-endian - string of 32 octets. The most significant bit of the final octet is - always zero. To form the encoding of the point, copy the least - significant bit of the x-coordinate to the most significant bit of - the final octet. - -5.3. Decoding - - - Decoding a point, given as a 32-octet string, is a little more - complicated. - - 1. First interpret the string as an integer in little-endian - representation. Bit 255 of this number is the least significant - bit of the x-coordinate, and denote this value x_0. The - y-coordinate is recovered simply by clearing this bit. If the - resulting value is >= p, decoding fails. - - 2. To recover the x coordinate, the curve equation implies x^2 = - (y^2 - 1) / (d y^2 + 1) (mod p). Since d is a non-square and -1 - is a square, the numerator, (d y^2 + 1), is always invertible - modulo p. Let u = y^2 - 1 and v = d y^2 + 1. To compute the - square root of (u/v), the first step is to compute the candidate - - - -Josefsson & Moeller Expires August 26, 2015 [Page 6] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - root x = (u/v)^((p+3)/8). This can be done using the following - trick, to use a single modular powering for both the inversion of - v and the square root: - - (p+3)/8 3 (p-5)/8 - x = (u/v) = u v (u v^7) (mod p) - - 3. Again, there are three cases: - - 1. If v x^2 = u (mod p), x is a square root. - - 2. If v x^2 = -u (mod p), set x <-- x 2^((p-1)/4), which is a - square root. - - 3. Otherwise, no square root exists modulo p, and decoding - fails. - - 4. Finally, use the x_0 bit to select the right square root. If x = - 0, and x_0 = 1, decoding fails. Otherwise, if x_0 != x mod 2, - set x <-- p - x. Return the decoded point (x,y). - -5.4. Point addition - - - For point addition, the following method is recommended. A point - (x,y) is represented in extended homogeneous coordinates (X, Y, Z, - T), with x = X/Z, y = Y/Z, x y = T/Z. - - The following formulas for adding two points, (x3,y3) = - (x1,y1)+(x2,y2) are described in [Edwards-revisited], section 3.1. - They are strongly unified, i.e., they work for any pair of valid - input points. - - A = (Y1-X1)*(Y2-X2) - B = (Y1+X1)*(Y2+X2) - C = T1*2*d*T2 - D = Z1*2*Z2 - E = B-A - F = D-C - G = D+C - H = B+A - X3 = E*F - Y3 = G*H - T3 = E*H - Z3 = F*G - - - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 7] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - -5.5. Key Generation - - - The secret is 32 octets (256 bits, corresponding to b) of - cryptographically-secure random data. See [RFC4086] for a discussion - about randomness. - - The 32-byte public key is generated by the following steps. - - 1. Hash the 32-byte secret using SHA-512, storing the digest in a - 64-octet large buffer, denoted h. Only the lower 32 bytes are - used for generating the public key. - - 2. Prune the buffer. In C terminology: - - h[0] &= ~0x07; - h[31] &= 0x7F; - h[31] |= 0x40; - - 3. Interpret the buffer as the little-endian integer, forming a - secret scalar a. Perform a known-base-point scalar - multiplication a B. - - 4. The public key A is the encoding of the point aB. First encode - the y coordinate (in the range 0 <= y < p) as a little-endian - string of 32 octets. The most significant bit of the final octet - is always zero. To form the encoding of the point aB, copy the - least significant bit of the x coordinate to the most significant - bit of the final octet. The result is the public key. - -5.6. Sign - - - The imputs to the signing procedure is the secret key, a 32-octet - string, and a message M of arbitrary size. - - 1. Hash the secret key, 32-octets, using SHA-512. Let h denote the - resulting digest. Construct the secret scalar a from the first - half of the digest, and the corresponding public key A, as - described in the previous section. Let prefix denote the second - half of the hash digest, h[32],...,h[63]. - - 2. Compute SHA-512(prefix || M), where M is the message to be - signed. Interpret the 64-octet digest as a little-endian integer - r. - - 3. Compute the point rB. For efficiency, do this by first reducing - r modulo q, the group order of B. Let the string R be the - encoding of this point. - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 8] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - 4. Compute SHA512(R || A || M), and interpret the 64-octet digest as - a little-endian integer k. - - 5. Compute s = (r + k a) mod q. For efficiency, again reduce k - modulo q first. - - 6. Form the signature of the concatenation of R (32 octets) and the - little-endian encoding of s (32 octets, three most significant - bits of the final octets always zero). - -5.7. Verify - - - 1. To verify a signature on a message M, first split the signature - into two 32-octet halves. Decode the first half as a point R, - and the second half as an integer s, in the range 0 <= s < q. If - the decoding fails, the signature is invalid. - - 2. Compute SHA512(R || A || M), and interpret the 64-octet digest as - a little-endian integer k. - - 3. Check the group equation 8s B = 8 R + 8k A. It's sufficient, but - not required, to instead check s B = R + k A. - -5.8. Python illustration - - - The rest of this section describes how Ed25519 can be implemented in - Python (version 3.2 or later) for illustration. See appendix A for - the complete implementation and appendix B for a test-driver to run - it through some test vectors. - - First some preliminaries that will be needed. - - - - - - - - - - - - - - - - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 9] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - import hashlib - - def sha512(s): - return hashlib.sha512(s).digest() - - # Base field Z_p - p = 2**255 - 19 - - def modp_inv(x): - return pow(x, p-2, p) - - # Curve constant - d = -121665 * modp_inv(121666) % p - - # Group order - q = 2**252 + 27742317777372353535851937790883648493 - - def sha512_modq(s): - return int.from_bytes(sha512(s), "little") % q - - Then follows functions to perform point operations. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 10] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - -# Points are represented as tuples (X, Y, Z, T) of extended coordinates, -# with x = X/Z, y = Y/Z, x*y = T/Z - -def point_add(P, Q): - A = (P[1]-P[0])*(Q[1]-Q[0]) % p - B = (P[1]+P[0])*(Q[1]+Q[0]) % p - C = 2 * P[3] * Q[3] * d % p - D = 2 * P[2] * Q[2] % p - E = B-A - F = D-C - G = D+C - H = B+A - return (E*F, G*H, F*G, E*H) - -# Computes Q = s * Q -def point_mul(s, P): - Q = (0, 1, 1, 0) # Neutral element - while s > 0: - # Is there any bit-set predicate? - if s & 1: - Q = point_add(Q, P) - P = point_add(P, P) - s >>= 1 - return Q - -def point_equal(P, Q): - # x1 / z1 == x2 / z2 <==> x1 * z2 == x2 * z1 - if (P[0] * Q[2] - Q[0] * P[2]) % p != 0: - return False - if (P[1] * Q[2] - Q[1] * P[2]) % p != 0: - return False - return True - - Now follows functions for point compression. - - - - - - - - - - - - - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 11] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - -# Square root of -1 -modp_sqrt_m1 = pow(2, (p-1) // 4, p) - -# Compute corresponding x coordinate, with low bit corresponding to sign, -# or return None on failure -def recover_x(y, sign): - x2 = (y*y-1) * modp_inv(d*y*y+1) - if x2 == 0: - if sign: - return None - else: - return 0 - - # Compute square root of x2 - x = pow(x2, (p+3) // 8, p) - if (x*x - x2) % p != 0: - x = x * modp_sqrt_m1 % p - if (x*x - x2) % p != 0: - return None - - if (x & 1) != sign: - x = p - x - return x - -# Base point -g_y = 4 * modp_inv(5) % p -g_x = recover_x(g_y, 0) -G = (g_x, g_y, 1, g_x * g_y % p) - -def point_compress(P): - zinv = modp_inv(P[2]) - x = P[0] * zinv % p - y = P[1] * zinv % p - return int.to_bytes(y | ((x & 1) << 255), 32, "little") - -def point_decompress(s): - if len(s) != 32: - raise Exception("Invalid input length for decompression") - y = int.from_bytes(s, "little") - sign = y >> 255 - y &= (1 << 255) - 1 - - x = recover_x(y, sign) - if x is None: - return None - else: - return (x, y, 1, x*y % p) - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 12] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - These are functions for manipulating the secret. - - def secret_expand(secret): - if len(secret) != 32: - raise Exception("Bad size of private key") - h = sha512(secret) - a = int.from_bytes(h[:32], "little") - a &= (1 << 254) - 8 - a |= (1 << 254) - return (a, h[32:]) - - def secret_to_public(secret): - (a, dummy) = secret_expand(secret) - return point_compress(point_mul(a, G)) - - The signature function works as below. - - def sign(secret, msg): - a, prefix = secret_expand(secret) - A = point_compress(point_mul(a, G)) - r = sha512_modq(prefix + msg) - R = point_mul(r, G) - Rs = point_compress(R) - h = sha512_modq(Rs + A + msg) - s = (r + h * a) % q - return Rs + int.to_bytes(s, 32, "little") - - And finally the verification function. - - def verify(public, msg, signature): - if len(public) != 32: - raise Exception("Bad public-key length") - if len(signature) != 64: - Exception("Bad signature length") - A = point_decompress(public) - if not A: - return False - Rs = signature[:32] - R = point_decompress(Rs) - if not R: - return False - s = int.from_bytes(signature[32:], "little") - h = sha512_modq(Rs + public + msg) - sB = point_mul(s, G) - hA = point_mul(h, A) - return point_equal(sB, point_add(R, hA)) - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 13] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - -6. Test Vectors for Ed25519 - - - Below is a sequence of octets with test vectors for the the Ed25519 - signature algorithm. The octets are hex encoded and whitespace is - inserted for readability. Private keys are 64 bytes, public keys 32 - bytes, message of arbitrary length, and signatures are 64 bytes. The - test vectors are taken from [ED25519-TEST-VECTORS] (but we removed - the public key as a suffix of the secret key, and removed the message - from the signature) and [ED25519-LIBGCRYPT-TEST-VECTORS]. - - -----TEST 1 - SECRET KEY: - 9d61b19deffd5a60ba844af492ec2cc4 - 4449c5697b326919703bac031cae7f60 - - PUBLIC KEY: - d75a980182b10ab7d54bfed3c964073a - 0ee172f3daa62325af021a68f707511a - - MESSAGE (length 0 bytes): - - SIGNATURE: - e5564300c360ac729086e2cc806e828a - 84877f1eb8e5d974d873e06522490155 - 5fb8821590a33bacc61e39701cf9b46b - d25bf5f0595bbe24655141438e7a100b - - -----TEST 2 - SECRET KEY: - 4ccd089b28ff96da9db6c346ec114e0f - 5b8a319f35aba624da8cf6ed4fb8a6fb - - PUBLIC KEY: - 3d4017c3e843895a92b70aa74d1b7ebc - 9c982ccf2ec4968cc0cd55f12af4660c - - MESSAGE (length 1 byte): - 72 - - SIGNATURE: - 92a009a9f0d4cab8720e820b5f642540 - a2b27b5416503f8fb3762223ebdb69da - 085ac1e43e15996e458f3613d0f11d8c - 387b2eaeb4302aeeb00d291612bb0c00 - - -----TEST 3 - SECRET KEY: - c5aa8df43f9f837bedb7442f31dcb7b1 - - - -Josefsson & Moeller Expires August 26, 2015 [Page 14] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - 66d38535076f094b85ce3a2e0b4458f7 - - PUBLIC KEY: - fc51cd8e6218a1a38da47ed00230f058 - 0816ed13ba3303ac5deb911548908025 - - MESSAGE (length 2 bytes): - af82 - - SIGNATURE: - 6291d657deec24024827e69c3abe01a3 - 0ce548a284743a445e3680d7db5ac3ac - 18ff9b538d16f290ae67f760984dc659 - 4a7c15e9716ed28dc027beceea1ec40a - - -----TEST 1024 - SECRET KEY: - f5e5767cf153319517630f226876b86c - 8160cc583bc013744c6bf255f5cc0ee5 - - PUBLIC KEY: - 278117fc144c72340f67d0f2316e8386 - ceffbf2b2428c9c51fef7c597f1d426e - - MESSAGE: - 08b8b2b733424243760fe426a4b54908 - 632110a66c2f6591eabd3345e3e4eb98 - fa6e264bf09efe12ee50f8f54e9f77b1 - e355f6c50544e23fb1433ddf73be84d8 - 79de7c0046dc4996d9e773f4bc9efe57 - 38829adb26c81b37c93a1b270b20329d - 658675fc6ea534e0810a4432826bf58c - 941efb65d57a338bbd2e26640f89ffbc - 1a858efcb8550ee3a5e1998bd177e93a - 7363c344fe6b199ee5d02e82d522c4fe - ba15452f80288a821a579116ec6dad2b - 3b310da903401aa62100ab5d1a36553e - 06203b33890cc9b832f79ef80560ccb9 - a39ce767967ed628c6ad573cb116dbef - efd75499da96bd68a8a97b928a8bbc10 - 3b6621fcde2beca1231d206be6cd9ec7 - aff6f6c94fcd7204ed3455c68c83f4a4 - 1da4af2b74ef5c53f1d8ac70bdcb7ed1 - 85ce81bd84359d44254d95629e9855a9 - 4a7c1958d1f8ada5d0532ed8a5aa3fb2 - d17ba70eb6248e594e1a2297acbbb39d - 502f1a8c6eb6f1ce22b3de1a1f40cc24 - 554119a831a9aad6079cad88425de6bd - - - -Josefsson & Moeller Expires August 26, 2015 [Page 15] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - e1a9187ebb6092cf67bf2b13fd65f270 - 88d78b7e883c8759d2c4f5c65adb7553 - 878ad575f9fad878e80a0c9ba63bcbcc - 2732e69485bbc9c90bfbd62481d9089b - eccf80cfe2df16a2cf65bd92dd597b07 - 07e0917af48bbb75fed413d238f5555a - 7a569d80c3414a8d0859dc65a46128ba - b27af87a71314f318c782b23ebfe808b - 82b0ce26401d2e22f04d83d1255dc51a - ddd3b75a2b1ae0784504df543af8969b - e3ea7082ff7fc9888c144da2af58429e - c96031dbcad3dad9af0dcbaaaf268cb8 - fcffead94f3c7ca495e056a9b47acdb7 - 51fb73e666c6c655ade8297297d07ad1 - ba5e43f1bca32301651339e22904cc8c - 42f58c30c04aafdb038dda0847dd988d - cda6f3bfd15c4b4c4525004aa06eeff8 - ca61783aacec57fb3d1f92b0fe2fd1a8 - 5f6724517b65e614ad6808d6f6ee34df - f7310fdc82aebfd904b01e1dc54b2927 - 094b2db68d6f903b68401adebf5a7e08 - d78ff4ef5d63653a65040cf9bfd4aca7 - 984a74d37145986780fc0b16ac451649 - de6188a7dbdf191f64b5fc5e2ab47b57 - f7f7276cd419c17a3ca8e1b939ae49e4 - 88acba6b965610b5480109c8b17b80e1 - b7b750dfc7598d5d5011fd2dcc5600a3 - 2ef5b52a1ecc820e308aa342721aac09 - 43bf6686b64b2579376504ccc493d97e - 6aed3fb0f9cd71a43dd497f01f17c0e2 - cb3797aa2a2f256656168e6c496afc5f - b93246f6b1116398a346f1a641f3b041 - e989f7914f90cc2c7fff357876e506b5 - 0d334ba77c225bc307ba537152f3f161 - 0e4eafe595f6d9d90d11faa933a15ef1 - 369546868a7f3a45a96768d40fd9d034 - 12c091c6315cf4fde7cb68606937380d - b2eaaa707b4c4185c32eddcdd306705e - 4dc1ffc872eeee475a64dfac86aba41c - 0618983f8741c5ef68d3a101e8a3b8ca - c60c905c15fc910840b94c00a0b9d0 - - SIGNATURE: - 0aab4c900501b3e24d7cdf4663326a3a - 87df5e4843b2cbdb67cbf6e460fec350 - aa5371b1508f9f4528ecea23c436d94b - 5e8fcd4f681e30a6ac00a9704a188a03 - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 16] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - -----TEST 1A - -----An additional test with the data from test 1 but using an - -----uncompressed public key. - SECRET KEY: - 9d61b19deffd5a60ba844af492ec2cc4 - 4449c5697b326919703bac031cae7f60 - - PUBLIC KEY: - 0455d0e09a2b9d34292297e08d60d0f6 - 20c513d47253187c24b12786bd777645 - ce1a5107f7681a02af2523a6daf372e1 - 0e3a0764c9d3fe4bd5b70ab18201985a - d7 - - MSG (length 0 bytes): - - SIGNATURE: - e5564300c360ac729086e2cc806e828a - 84877f1eb8e5d974d873e06522490155 - 5fb8821590a33bacc61e39701cf9b46b - d25bf5f0595bbe24655141438e7a100b - - -----TEST 1B - -----An additional test with the data from test 1 but using an - -----compressed prefix. - SECRET KEY: - 9d61b19deffd5a60ba844af492ec2cc4 - 4449c5697b326919703bac031cae7f60 - - PUBLIC KEY: - 40d75a980182b10ab7d54bfed3c96407 - 3a0ee172f3daa62325af021a68f70751 - 1a - - MESSAGE (length 0 bytes): - - SIGNATURE: - e5564300c360ac729086e2cc806e828a - 84877f1eb8e5d974d873e06522490155 - 5fb8821590a33bacc61e39701cf9b46b - d25bf5f0595bbe24655141438e7a100b - ----- - -7. Acknowledgements - - - Feedback on this document was received from Werner Koch and Damien - Miller. - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 17] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - -8. IANA Considerations - - - None. - -9. Security Considerations - - -9.1. Side-channel leaks - - - For implementations performing signatures, secrecy of the key is - fundamental. It is possible to protect against some side-channel - attacks by ensuring that the implementation executes exactly the same - sequence of instructions and performs exactly the same memory - accesses, for any value of the secret key. - - To make an implementation side-channel silent in this way, the modulo - p arithmetic must not use any data-dependent branches, e.g., related - to carry propagation. Side channel-silent point addition is - straight-forward, thanks to the unified formulas. - - Scalar multiplication, multiplying a point by an integer, needs some - additional effort to implement in a side-channel silent manner. One - simple approach is to implement a side-channel silent conditional - assignment, and use together with the binary algorithm to examine one - bit of the integer at a time. - - Note that the example implementation in this document does not - attempt to be side-channel silent. - -10. References - - -10.1. Normative References - - - [RFC4634] Eastlake, D. and T. Hansen, "US Secure Hash Algorithms - (SHA and HMAC-SHA)", RFC 4634, July 2006. - - [I-D.irtf-cfrg-curves] - Langley, A., Salz, R., and S. Turner, "Elliptic Curves for - Security", draft-irtf-cfrg-curves-01 (work in progress), - January 2015. - -10.2. Informative References - - - [RFC4086] Eastlake, D., Schiller, J., and S. Crocker, "Randomness - Requirements for Security", BCP 106, RFC 4086, June 2005. - - - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 18] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - [EDDSA] Bernstein, D., Duif, N., Lange, T., Schwabe, P., and B. - Yang, "High-speed high-security signatures", WWW - http://ed25519.cr.yp.to/ed25519-20110926.pdf, September - 2011. - - [Faster-ECC] - Bernstein, D. and T. Lange, "Faster addition and doubling - on elliptic curves", WWW http://eprint.iacr.org/2007/286, - July 2007. - - [Edwards-revisited] - Hisil, H., Wong, K., Carter, G., and E. Dawson, "Twisted - Edwards Curves Revisited", WWW - http://eprint.iacr.org/2008/522, December 2008. - - [CURVE25519] - Bernstein, D., "Curve25519: new Diffie-Hellman speed - records", WWW http://cr.yp.to/ecdh.html, February 2006. - - [ED25519-TEST-VECTORS] - Bernstein, D., Duif, N., Lange, T., Schwabe, P., and B. - Yang, "Ed25519 test vectors", WWW - http://ed25519.cr.yp.to/python/sign.input, July 2011. - - [ED25519-LIBGCRYPT-TEST-VECTORS] - Koch, W., "Ed25519 Libgcrypt test vectors", WWW - http://git.gnupg.org/cgi- - bin/gitweb.cgi?p=libgcrypt.git;a=blob;f=tests/t-ed25519.in - p;h=e13566f826321eece65e02c593bc7d885b3dbe23;hb=refs/ - heads/master, July 2014. - -Appendix A. Ed25519 Python Library - - - Below is an example implementation of Ed25519 written in Python, - version 3.2 or higher is required. - -# Loosely based on the public domain code at -# http://ed25519.cr.yp.to/software.html -# -# Needs python-3.2 - -import hashlib - - -def sha512(s): - return hashlib.sha512(s).digest() - -# Base field Z_p - - - -Josefsson & Moeller Expires August 26, 2015 [Page 19] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - -p = 2**255 - 19 - - -def modp_inv(x): - return pow(x, p-2, p) - -# Curve constant -d = -121665 * modp_inv(121666) % p - -# Group order -q = 2**252 + 27742317777372353535851937790883648493 - - -def sha512_modq(s): - return int.from_bytes(sha512(s), "little") % q - -# Points are represented as tuples (X, Y, Z, T) of extended coordinates, -# with x = X/Z, y = Y/Z, x*y = T/Z - - -def point_add(P, Q): - A = (P[1]-P[0])*(Q[1]-Q[0]) % p - B = (P[1]+P[0])*(Q[1]+Q[0]) % p - C = 2 * P[3] * Q[3] * d % p - D = 2 * P[2] * Q[2] % p - E = B-A - F = D-C - G = D+C - H = B+A - return (E*F, G*H, F*G, E*H) - - -# Computes Q = s * Q -def point_mul(s, P): - Q = (0, 1, 1, 0) # Neutral element - while s > 0: - # Is there any bit-set predicate? - if s & 1: - Q = point_add(Q, P) - P = point_add(P, P) - s >>= 1 - return Q - - -def point_equal(P, Q): - # x1 / z1 == x2 / z2 <==> x1 * z2 == x2 * z1 - if (P[0] * Q[2] - Q[0] * P[2]) % p != 0: - return False - - - -Josefsson & Moeller Expires August 26, 2015 [Page 20] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - if (P[1] * Q[2] - Q[1] * P[2]) % p != 0: - return False - return True - -# Square root of -1 -modp_sqrt_m1 = pow(2, (p-1) // 4, p) - - -# Compute corresponding x coordinate, with low bit corresponding to sign, -# or return None on failure -def recover_x(y, sign): - x2 = (y*y-1) * modp_inv(d*y*y+1) - if x2 == 0: - if sign: - return None - else: - return 0 - - # Compute square root of x2 - x = pow(x2, (p+3) // 8, p) - if (x*x - x2) % p != 0: - x = x * modp_sqrt_m1 % p - if (x*x - x2) % p != 0: - return None - - if (x & 1) != sign: - x = p - x - return x - -# Base point -g_y = 4 * modp_inv(5) % p -g_x = recover_x(g_y, 0) -G = (g_x, g_y, 1, g_x * g_y % p) - - -def point_compress(P): - zinv = modp_inv(P[2]) - x = P[0] * zinv % p - y = P[1] * zinv % p - return int.to_bytes(y | ((x & 1) << 255), 32, "little") - - -def point_decompress(s): - if len(s) != 32: - raise Exception("Invalid input length for decompression") - y = int.from_bytes(s, "little") - sign = y >> 255 - y &= (1 << 255) - 1 - - - -Josefsson & Moeller Expires August 26, 2015 [Page 21] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - x = recover_x(y, sign) - if x is None: - return None - else: - return (x, y, 1, x*y % p) - - -def secret_expand(secret): - if len(secret) != 32: - raise Exception("Bad size of private key") - h = sha512(secret) - a = int.from_bytes(h[:32], "little") - a &= (1 << 254) - 8 - a |= (1 << 254) - return (a, h[32:]) - - -def secret_to_public(secret): - (a, dummy) = secret_expand(secret) - return point_compress(point_mul(a, G)) - - -def sign(secret, msg): - a, prefix = secret_expand(secret) - A = point_compress(point_mul(a, G)) - r = sha512_modq(prefix + msg) - R = point_mul(r, G) - Rs = point_compress(R) - h = sha512_modq(Rs + A + msg) - s = (r + h * a) % q - return Rs + int.to_bytes(s, 32, "little") - - -def verify(public, msg, signature): - if len(public) != 32: - raise Exception("Bad public-key length") - if len(signature) != 64: - Exception("Bad signature length") - A = point_decompress(public) - if not A: - return False - Rs = signature[:32] - R = point_decompress(Rs) - if not R: - return False - s = int.from_bytes(signature[32:], "little") - h = sha512_modq(Rs + public + msg) - sB = point_mul(s, G) - - - -Josefsson & Moeller Expires August 26, 2015 [Page 22] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - hA = point_mul(h, A) - return point_equal(sB, point_add(R, hA)) - -Appendix B. Library driver - - - Below is a command-line tool that uses the library above to perform - computations, for interactive use or for self-checking. - - import sys - import binascii - - from ed25519 import * - - def point_valid(P): - zinv = modp_inv(P[2]) - x = P[0] * zinv % p - y = P[1] * zinv % p - assert (x*y - P[3]*zinv) % p == 0 - return (-x*x + y*y - 1 - d*x*x*y*y) % p == 0 - - assert point_valid(G) - Z = (0, 1, 1, 0) - assert point_valid(Z) - - assert point_equal(Z, point_add(Z, Z)) - assert point_equal(G, point_add(Z, G)) - assert point_equal(Z, point_mul(0, G)) - assert point_equal(G, point_mul(1, G)) - assert point_equal(point_add(G, G), point_mul(2, G)) - for i in range(0, 100): - assert point_valid(point_mul(i, G)) - assert point_equal(Z, point_mul(q, G)) - - def munge_string(s, pos, change): - return (s[:pos] + - int.to_bytes(s[pos] ^ change, 1, "little") + - s[pos+1:]) - - # Read a file in the format of - # http://ed25519.cr.yp.to/python/sign.input - lineno = 0 - while True: - line = sys.stdin.readline() - if not line: - break - lineno = lineno + 1 - print(lineno) - fields = line.split(":") - - - -Josefsson & Moeller Expires August 26, 2015 [Page 23] - - -Internet-Draft EdDSA & Ed25519 February 2015 - - - secret = (binascii.unhexlify(fields[0]))[:32] - public = binascii.unhexlify(fields[1]) - msg = binascii.unhexlify(fields[2]) - signature = binascii.unhexlify(fields[3])[:64] - - assert public == secret_to_public(secret) - assert signature == sign(secret, msg) - assert verify(public, msg, signature) - if len(msg) == 0: - bad_msg = b"x" - else: - bad_msg = munge_string(msg, len(msg) // 3, 4) - assert not verify(public, bad_msg, signature) - bad_signature = munge_string(signature, 20, 8) - assert not verify(public, msg, bad_signature) - bad_signature = munge_string(signature, 40, 16) - assert not verify(public, msg, bad_signature) - -Authors' Addresses - - Simon Josefsson - SJD AB - - Email: simon@josefsson.org - URI: http://josefsson.org/ - - - Niels Moeller - - Email: nisse@lysator.liu.se - - - - - - - - - - - - - - - - - - - - - -Josefsson & Moeller Expires August 26, 2015 [Page 24] - - - -Html markup produced by rfcmarkup 1.113, available from https://tools.ietf.org/tools/rfcmarkup/ diff --git a/src/crypto/shen_ed25519_ref/include/Makefile.am b/src/crypto/shen_ed25519_ref/include/Makefile.am deleted file mode 100644 index 894c371a3..000000000 --- a/src/crypto/shen_ed25519_ref/include/Makefile.am +++ /dev/null @@ -1,62 +0,0 @@ - -SODIUM_EXPORT = \ - sodium.h \ - sodium/core.h \ - sodium/crypto_aead_chacha20poly1305.h \ - sodium/crypto_auth.h \ - sodium/crypto_auth_hmacsha256.h \ - sodium/crypto_auth_hmacsha512.h \ - sodium/crypto_auth_hmacsha512256.h \ - sodium/crypto_box.h \ - sodium/crypto_box_curve25519xsalsa20poly1305.h \ - sodium/crypto_core_hsalsa20.h \ - sodium/crypto_core_salsa20.h \ - sodium/crypto_core_salsa2012.h \ - sodium/crypto_core_salsa208.h \ - sodium/crypto_generichash.h \ - sodium/crypto_generichash_blake2b.h \ - sodium/crypto_hash.h \ - sodium/crypto_hash_sha256.h \ - sodium/crypto_hash_sha512.h \ - sodium/crypto_onetimeauth.h \ - sodium/crypto_onetimeauth_poly1305.h \ - sodium/crypto_pwhash_scryptsalsa208sha256.h \ - sodium/crypto_scalarmult.h \ - sodium/crypto_scalarmult_curve25519.h \ - sodium/crypto_secretbox.h \ - sodium/crypto_secretbox_xsalsa20poly1305.h \ - sodium/crypto_shorthash.h \ - sodium/crypto_shorthash_siphash24.h \ - sodium/crypto_sign.h \ - sodium/crypto_sign_ed25519.h \ - sodium/crypto_sign_edwards25519sha512batch.h \ - sodium/crypto_stream.h \ - sodium/crypto_stream_aes128ctr.h \ - sodium/crypto_stream_chacha20.h \ - sodium/crypto_stream_salsa20.h \ - sodium/crypto_stream_salsa2012.h \ - sodium/crypto_stream_salsa208.h \ - sodium/crypto_stream_xsalsa20.h \ - sodium/crypto_int32.h \ - sodium/crypto_int64.h \ - sodium/crypto_uint16.h \ - sodium/crypto_uint32.h \ - sodium/crypto_uint64.h \ - sodium/crypto_uint8.h \ - sodium/crypto_verify_16.h \ - sodium/crypto_verify_32.h \ - sodium/crypto_verify_64.h \ - sodium/export.h \ - sodium/randombytes.h \ - sodium/randombytes_salsa20_random.h \ - sodium/randombytes_sysrandom.h \ - sodium/runtime.h \ - sodium/utils.h - -EXTRA_SRC = $(SODIUM_EXPORT) \ - sodium/version.h.in - -nobase_include_HEADERS = $(SODIUM_EXPORT) - -nobase_nodist_include_HEADERS = \ - sodium/version.h diff --git a/src/crypto/shen_ed25519_ref/include/libsodium_LICENSE b/src/crypto/shen_ed25519_ref/include/libsodium_LICENSE deleted file mode 100644 index 3edb000f6..000000000 --- a/src/crypto/shen_ed25519_ref/include/libsodium_LICENSE +++ /dev/null @@ -1,16 +0,0 @@ -/* - * Copyright (c) 2013-2015 - * Frank Denis - * - * Permission to use, copy, modify, and/or distribute this software for any - * purpose with or without fee is hereby granted, provided that the above - * copyright notice and this permission notice appear in all copies. - * - * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES - * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF - * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR - * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES - * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN - * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF - * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. - */ diff --git a/src/crypto/shen_ed25519_ref/include/sodium.h b/src/crypto/shen_ed25519_ref/include/sodium.h deleted file mode 100644 index 207bdedeb..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium.h +++ /dev/null @@ -1,50 +0,0 @@ - -#ifndef sodium_H -#define sodium_H - -#include "sodium/core.h" -#include "sodium/crypto_aead_chacha20poly1305.h" -#include "sodium/crypto_auth.h" -#include "sodium/crypto_auth_hmacsha256.h" -#include "sodium/crypto_auth_hmacsha512.h" -#include "sodium/crypto_auth_hmacsha512256.h" -#include "sodium/crypto_box.h" -#include "sodium/crypto_box_curve25519xsalsa20poly1305.h" -#include "sodium/crypto_core_hsalsa20.h" -#include "sodium/crypto_core_salsa20.h" -#include "sodium/crypto_core_salsa2012.h" -#include "sodium/crypto_core_salsa208.h" -#include "sodium/crypto_generichash.h" -#include "sodium/crypto_generichash_blake2b.h" -#include "sodium/crypto_hash.h" -#include "sodium/crypto_hash_sha256.h" -#include "sodium/crypto_hash_sha512.h" -#include "sodium/crypto_onetimeauth.h" -#include "sodium/crypto_onetimeauth_poly1305.h" -#include "sodium/crypto_pwhash_scryptsalsa208sha256.h" -#include "sodium/crypto_scalarmult.h" -#include "sodium/crypto_scalarmult_curve25519.h" -#include "sodium/crypto_secretbox.h" -#include "sodium/crypto_secretbox_xsalsa20poly1305.h" -#include "sodium/crypto_shorthash.h" -#include "sodium/crypto_shorthash_siphash24.h" -#include "sodium/crypto_sign.h" -#include "sodium/crypto_sign_ed25519.h" -#include "sodium/crypto_stream.h" -#include "sodium/crypto_stream_aes128ctr.h" -#include "sodium/crypto_stream_chacha20.h" -#include "sodium/crypto_stream_salsa20.h" -#include "sodium/crypto_stream_salsa2012.h" -#include "sodium/crypto_stream_salsa208.h" -#include "sodium/crypto_stream_xsalsa20.h" -#include "sodium/crypto_verify_16.h" -#include "sodium/crypto_verify_32.h" -#include "sodium/crypto_verify_64.h" -#include "sodium/randombytes.h" -#include "sodium/randombytes_salsa20_random.h" -#include "sodium/randombytes_sysrandom.h" -#include "sodium/runtime.h" -#include "sodium/utils.h" -#include "sodium/version.h" - -#endif diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_int32.h b/src/crypto/shen_ed25519_ref/include/sodium/crypto_int32.h deleted file mode 100644 index a22019d87..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_int32.h +++ /dev/null @@ -1,8 +0,0 @@ -#ifndef crypto_int32_H -#define crypto_int32_H - -#include - -typedef int32_t crypto_int32; - -#endif diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_int64.h b/src/crypto/shen_ed25519_ref/include/sodium/crypto_int64.h deleted file mode 100644 index f68a28361..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_int64.h +++ /dev/null @@ -1,8 +0,0 @@ -#ifndef crypto_int64_H -#define crypto_int64_H - -#include - -typedef int64_t crypto_int64; - -#endif diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint16.h b/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint16.h deleted file mode 100644 index 6be4e347c..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint16.h +++ /dev/null @@ -1,8 +0,0 @@ -#ifndef crypto_uint16_H -#define crypto_uint16_H - -#include - -typedef uint16_t crypto_uint16; - -#endif diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint32.h b/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint32.h deleted file mode 100644 index ba66cecc6..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint32.h +++ /dev/null @@ -1,8 +0,0 @@ -#ifndef crypto_uint32_H -#define crypto_uint32_H - -#include - -typedef uint32_t crypto_uint32; - -#endif diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint64.h b/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint64.h deleted file mode 100644 index 98b3f6d34..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint64.h +++ /dev/null @@ -1,8 +0,0 @@ -#ifndef crypto_uint64_H -#define crypto_uint64_H - -#include - -typedef uint64_t crypto_uint64; - -#endif diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint8.h b/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint8.h deleted file mode 100644 index 789613ba5..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint8.h +++ /dev/null @@ -1,8 +0,0 @@ -#ifndef crypto_uint8_H -#define crypto_uint8_H - -#include - -typedef uint8_t crypto_uint8; - -#endif diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_verify_32.h b/src/crypto/shen_ed25519_ref/include/sodium/crypto_verify_32.h deleted file mode 100644 index 58e4d0e82..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_verify_32.h +++ /dev/null @@ -1,22 +0,0 @@ -#ifndef crypto_verify_32_H -#define crypto_verify_32_H - -#include -#include "export.h" - -#ifdef __cplusplus -extern "C" { -#endif - -#define crypto_verify_32_BYTES 32U -SODIUM_EXPORT -size_t crypto_verify_32_bytes(void); - -SODIUM_EXPORT -int crypto_verify_32(const unsigned char *x, const unsigned char *y); - -#ifdef __cplusplus -} -#endif - -#endif diff --git a/src/crypto/shen_ed25519_ref/include/sodium/randombytes.h b/src/crypto/shen_ed25519_ref/include/sodium/randombytes.h deleted file mode 100644 index 08aff0525..000000000 --- a/src/crypto/shen_ed25519_ref/include/sodium/randombytes.h +++ /dev/null @@ -1,58 +0,0 @@ - -#ifndef randombytes_H -#define randombytes_H - -#include - -#include -#include - -#include "export.h" - -#ifdef __cplusplus -# if __GNUC__ -# pragma GCC diagnostic ignored "-Wlong-long" -# endif -extern "C" { -#endif - -typedef struct randombytes_implementation { - const char *(*implementation_name)(void); /* required */ - uint32_t (*random)(void); /* required */ - void (*stir)(void); /* optional */ - uint32_t (*uniform)(const uint32_t upper_bound); /* optional, a default implementation will be used if NULL */ - void (*buf)(void * const buf, const size_t size); /* required */ - int (*close)(void); /* optional */ -} randombytes_implementation; - -SODIUM_EXPORT -void randombytes_buf(void * const buf, const size_t size); - -SODIUM_EXPORT -uint32_t randombytes_random(void); - -SODIUM_EXPORT -uint32_t randombytes_uniform(const uint32_t upper_bound); - -SODIUM_EXPORT -void randombytes_stir(void); - -SODIUM_EXPORT -int randombytes_close(void); - -SODIUM_EXPORT -int randombytes_set_implementation(randombytes_implementation *impl); - -SODIUM_EXPORT -const char *randombytes_implementation_name(void); - -/* -- NaCl compatibility interface -- */ - -SODIUM_EXPORT -void randombytes(unsigned char * const buf, const unsigned long long buf_len); - -#ifdef __cplusplus -} -#endif - -#endif diff --git a/src/crypto/shen_ed25519_ref/randombytes.c b/src/crypto/shen_ed25519_ref/randombytes.c deleted file mode 100755 index fa7d42149..000000000 --- a/src/crypto/shen_ed25519_ref/randombytes.c +++ /dev/null @@ -1,52 +0,0 @@ -#ifndef _WIN32 -#include -#include -#include -#include - -/* it's really stupid that there isn't a syscall for this */ - -static int ed25519_random_fd = -1; - -static inline void ed25519_randombytes(unsigned char *x,unsigned long long xlen) -{ - int i; - - if (ed25519_random_fd == -1) { - for (;;) { - ed25519_random_fd = open("/dev/urandom",O_RDONLY); - if (ed25519_random_fd != -1) break; - sleep(1); - } - } - - while (xlen > 0) { - if (xlen < 1048576) i = xlen; else i = 1048576; - - i = read(ed25519_random_fd,x,i); - if (i < 1) { - sleep(1); - continue; - } - - x += i; - xlen -= i; - } -} - -#else -#include -#include - -static inline void ed25519_randombytes(unsigned char *x,unsigned long long xlen) -{ - HCRYPTPROV prov = 0; - - CryptAcquireContextW(&prov, NULL, NULL, - PROV_RSA_FULL, CRYPT_VERIFYCONTEXT | CRYPT_SILENT); - - CryptGenRandom(prov, xlen, x); - CryptReleaseContext(prov, 0); -} - -#endif /* _WIN32 */ diff --git a/src/crypto/shen_ed25519_ref/ref10/Makefile b/src/crypto/shen_ed25519_ref/ref10/Makefile deleted file mode 100644 index 9b0ba7ad4..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/Makefile +++ /dev/null @@ -1,41 +0,0 @@ -all: d.h d2.h sqrtm1.h base.h base2.h \ -ge_add.h ge_sub.h \ -ge_madd.h ge_msub.h \ -ge_p2_dbl.h \ -pow225521.h pow22523.h - -d.h: d.py - python d.py > d.h - -d2.h: d2.py - python d2.py > d2.h - -sqrtm1.h: sqrtm1.py - python sqrtm1.py > sqrtm1.h - -base.h: base.py - python base.py > base.h - -base2.h: base2.py - python base2.py > base2.h - -ge_add.h: ge_add.q q2h.sh - ./q2h.sh < ge_add.q > ge_add.h - -ge_sub.h: ge_sub.q q2h.sh - ./q2h.sh < ge_sub.q > ge_sub.h - -ge_madd.h: ge_madd.q q2h.sh - ./q2h.sh < ge_madd.q > ge_madd.h - -ge_msub.h: ge_msub.q q2h.sh - ./q2h.sh < ge_msub.q > ge_msub.h - -ge_p2_dbl.h: ge_p2_dbl.q q2h.sh - ./q2h.sh < ge_p2_dbl.q > ge_p2_dbl.h - -pow22523.h: pow22523.q q2h.sh - ./q2h.sh < pow22523.q > pow22523.h - -pow225521.h: pow225521.q q2h.sh - ./q2h.sh < pow225521.q > pow225521.h diff --git a/src/crypto/shen_ed25519_ref/ref10/api.h b/src/crypto/shen_ed25519_ref/ref10/api.h deleted file mode 100644 index d88dae0c3..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/api.h +++ /dev/null @@ -1,4 +0,0 @@ -#define CRYPTO_SECRETKEYBYTES 64 -#define CRYPTO_PUBLICKEYBYTES 32 -#define CRYPTO_BYTES 64 -#define CRYPTO_DETERMINISTIC 1 diff --git a/src/crypto/shen_ed25519_ref/ref10/base.h b/src/crypto/shen_ed25519_ref/ref10/base.h deleted file mode 100644 index 573bd8a05..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/base.h +++ /dev/null @@ -1,1344 +0,0 @@ -{ - { - { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, - { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, - { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, - }, - { - { -12815894,-12976347,-21581243,11784320,-25355658,-2750717,-11717903,-3814571,-358445,-10211303 }, - { -21703237,6903825,27185491,6451973,-29577724,-9554005,-15616551,11189268,-26829678,-5319081 }, - { 26966642,11152617,32442495,15396054,14353839,-12752335,-3128826,-9541118,-15472047,-4166697 }, - }, - { - { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, - { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, - { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, - }, - { - { -17036878,13921892,10945806,-6033431,27105052,-16084379,-28926210,15006023,3284568,-6276540 }, - { 23599295,-8306047,-11193664,-7687416,13236774,10506355,7464579,9656445,13059162,10374397 }, - 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}, - { - { -32460596,11266712,-11197107,-7899103,31703694,3855903,-8537131,-12833048,-30772034,-15486313 }, - { -18006477,12709068,3991746,-6479188,-21491523,-10550425,-31135347,-16049879,10928917,3011958 }, - { -6957757,-15594337,31696059,334240,29576716,14796075,-30831056,-12805180,18008031,10258577 }, - }, - { - { -22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 }, - { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 }, - { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 }, - }, -}, diff --git a/src/crypto/shen_ed25519_ref/ref10/base.py b/src/crypto/shen_ed25519_ref/ref10/base.py deleted file mode 100644 index 84accc858..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/base.py +++ /dev/null @@ -1,65 +0,0 @@ -b = 256 -q = 2**255 - 19 -l = 2**252 + 27742317777372353535851937790883648493 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -d = -121665 * inv(121666) -I = expmod(2,(q-1)/4,q) - -def xrecover(y): - xx = (y*y-1) * inv(d*y*y+1) - x = expmod(xx,(q+3)/8,q) - if (x*x - xx) % q != 0: x = (x*I) % q - if x % 2 != 0: x = q-x - return x - -By = 4 * inv(5) -Bx = xrecover(By) -B = [Bx % q,By % q] - -def edwards(P,Q): - x1 = P[0] - y1 = P[1] - x2 = Q[0] - y2 = Q[1] - x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) - y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) - return [x3 % q,y3 % q] - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -Bi = B -for i in range(32): - print "{" - Bij = Bi - for j in range(8): - print " {" - print " {",radix255(Bij[1]+Bij[0]),"}," - print " {",radix255(Bij[1]-Bij[0]),"}," - print " {",radix255(2*d*Bij[0]*Bij[1]),"}," - Bij = edwards(Bij,Bi) - print " }," - print "}," - for k in range(8): - Bi = edwards(Bi,Bi) diff --git a/src/crypto/shen_ed25519_ref/ref10/base2.h b/src/crypto/shen_ed25519_ref/ref10/base2.h deleted file mode 100644 index 8c538440f..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/base2.h +++ /dev/null @@ -1,40 +0,0 @@ - { - { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, - { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, - { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, - }, - { - { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, - { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, - { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, - }, - { - { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, - { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, - { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, - }, - { - { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, - { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, - { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, - }, - { - { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 }, - { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 }, - { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 }, - }, - { - { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 }, - { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 }, - { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 }, - }, - { - { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 }, - { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 }, - { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 }, - }, - { - { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 }, - { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 }, - { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 }, - }, diff --git a/src/crypto/shen_ed25519_ref/ref10/base2.py b/src/crypto/shen_ed25519_ref/ref10/base2.py deleted file mode 100644 index 5e4e8739d..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/base2.py +++ /dev/null @@ -1,60 +0,0 @@ -b = 256 -q = 2**255 - 19 -l = 2**252 + 27742317777372353535851937790883648493 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -d = -121665 * inv(121666) -I = expmod(2,(q-1)/4,q) - -def xrecover(y): - xx = (y*y-1) * inv(d*y*y+1) - x = expmod(xx,(q+3)/8,q) - if (x*x - xx) % q != 0: x = (x*I) % q - if x % 2 != 0: x = q-x - return x - -By = 4 * inv(5) -Bx = xrecover(By) -B = [Bx % q,By % q] - -def edwards(P,Q): - x1 = P[0] - y1 = P[1] - x2 = Q[0] - y2 = Q[1] - x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) - y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) - return [x3 % q,y3 % q] - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -Bi = B - -for i in range(8): - print " {" - print " {",radix255(Bi[1]+Bi[0]),"}," - print " {",radix255(Bi[1]-Bi[0]),"}," - print " {",radix255(2*d*Bi[0]*Bi[1]),"}," - print " }," - Bi = edwards(B,edwards(B,Bi)) diff --git a/src/crypto/shen_ed25519_ref/ref10/d.h b/src/crypto/shen_ed25519_ref/ref10/d.h deleted file mode 100644 index e25f57835..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/d.h +++ /dev/null @@ -1 +0,0 @@ --10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116 diff --git a/src/crypto/shen_ed25519_ref/ref10/d.py b/src/crypto/shen_ed25519_ref/ref10/d.py deleted file mode 100644 index 8995bb86a..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/d.py +++ /dev/null @@ -1,28 +0,0 @@ -q = 2**255 - 19 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -d = -121665 * inv(121666) -print radix255(d) diff --git a/src/crypto/shen_ed25519_ref/ref10/d2.h b/src/crypto/shen_ed25519_ref/ref10/d2.h deleted file mode 100644 index 01aaec751..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/d2.h +++ /dev/null @@ -1 +0,0 @@ --21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 diff --git a/src/crypto/shen_ed25519_ref/ref10/d2.py b/src/crypto/shen_ed25519_ref/ref10/d2.py deleted file mode 100644 index 79841758b..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/d2.py +++ /dev/null @@ -1,28 +0,0 @@ -q = 2**255 - 19 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -d = -121665 * inv(121666) -print radix255(d*2) diff --git a/src/crypto/shen_ed25519_ref/ref10/description b/src/crypto/shen_ed25519_ref/ref10/description deleted file mode 100644 index cbfcb2cba..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/description +++ /dev/null @@ -1,2 +0,0 @@ -EdDSA signatures using Curve25519 -from http://hyperelliptic.org/ebats/supercop-20141124.tar.bz2 diff --git a/src/crypto/shen_ed25519_ref/ref10/designers b/src/crypto/shen_ed25519_ref/ref10/designers deleted file mode 100644 index 2a3a93a8e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/designers +++ /dev/null @@ -1,5 +0,0 @@ -Daniel J. Bernstein -Niels Duif -Tanja Lange -Peter Schwabe -Bo-Yin Yang diff --git a/src/crypto/shen_ed25519_ref/ref10/fe.h b/src/crypto/shen_ed25519_ref/ref10/fe.h deleted file mode 100644 index 60c308ba4..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe.h +++ /dev/null @@ -1,56 +0,0 @@ -#ifndef FE_H -#define FE_H - -#include "crypto_int32.h" - -typedef crypto_int32 fe[10]; - -/* -fe means field element. -Here the field is \Z/(2^255-19). -An element t, entries t[0]...t[9], represents the integer -t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. -Bounds on each t[i] vary depending on context. -*/ - -#define fe_frombytes crypto_sign_ed25519_ref10_fe_frombytes -#define fe_tobytes crypto_sign_ed25519_ref10_fe_tobytes -#define fe_copy crypto_sign_ed25519_ref10_fe_copy -#define fe_isnonzero crypto_sign_ed25519_ref10_fe_isnonzero -#define fe_isnegative crypto_sign_ed25519_ref10_fe_isnegative -#define fe_0 crypto_sign_ed25519_ref10_fe_0 -#define fe_1 crypto_sign_ed25519_ref10_fe_1 -#define fe_cswap crypto_sign_ed25519_ref10_fe_cswap -#define fe_cmov crypto_sign_ed25519_ref10_fe_cmov -#define fe_add crypto_sign_ed25519_ref10_fe_add -#define fe_sub crypto_sign_ed25519_ref10_fe_sub -#define fe_neg crypto_sign_ed25519_ref10_fe_neg -#define fe_mul crypto_sign_ed25519_ref10_fe_mul -#define fe_sq crypto_sign_ed25519_ref10_fe_sq -#define fe_sq2 crypto_sign_ed25519_ref10_fe_sq2 -#define fe_mul121666 crypto_sign_ed25519_ref10_fe_mul121666 -#define fe_invert crypto_sign_ed25519_ref10_fe_invert -#define fe_pow22523 crypto_sign_ed25519_ref10_fe_pow22523 - -extern void fe_frombytes(fe,const unsigned char *); -extern void fe_tobytes(unsigned char *,const fe); - -extern void fe_copy(fe,const fe); -extern int fe_isnonzero(const fe); -extern int fe_isnegative(const fe); -extern void fe_0(fe); -extern void fe_1(fe); -extern void fe_cswap(fe,fe,unsigned int); -extern void fe_cmov(fe,const fe,unsigned int); - -extern void fe_add(fe,const fe,const fe); -extern void fe_sub(fe,const fe,const fe); -extern void fe_neg(fe,const fe); -extern void fe_mul(fe,const fe,const fe); -extern void fe_sq(fe,const fe); -extern void fe_sq2(fe,const fe); -extern void fe_mul121666(fe,const fe); -extern void fe_invert(fe,const fe); -extern void fe_pow22523(fe,const fe); - -#endif diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_0.c b/src/crypto/shen_ed25519_ref/ref10/fe_0.c deleted file mode 100644 index ec879d733..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_0.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" - -/* -h = 0 -*/ - -void fe_0(fe h) -{ - h[0] = 0; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_1.c b/src/crypto/shen_ed25519_ref/ref10/fe_1.c deleted file mode 100644 index 8cf778484..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_1.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" - -/* -h = 1 -*/ - -void fe_1(fe h) -{ - h[0] = 1; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_add.c b/src/crypto/shen_ed25519_ref/ref10/fe_add.c deleted file mode 100644 index e6a81da20..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_add.c +++ /dev/null @@ -1,57 +0,0 @@ -#include "fe.h" - -/* -h = f + g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_add(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 h0 = f0 + g0; - crypto_int32 h1 = f1 + g1; - crypto_int32 h2 = f2 + g2; - crypto_int32 h3 = f3 + g3; - crypto_int32 h4 = f4 + g4; - crypto_int32 h5 = f5 + g5; - crypto_int32 h6 = f6 + g6; - crypto_int32 h7 = f7 + g7; - crypto_int32 h8 = f8 + g8; - crypto_int32 h9 = f9 + g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_cmov.c b/src/crypto/shen_ed25519_ref/ref10/fe_cmov.c deleted file mode 100644 index 8ca584fb1..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_cmov.c +++ /dev/null @@ -1,63 +0,0 @@ -#include "fe.h" - -/* -Replace (f,g) with (g,g) if b == 1; -replace (f,g) with (f,g) if b == 0. - -Preconditions: b in {0,1}. -*/ - -void fe_cmov(fe f,const fe g,unsigned int b) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 x0 = f0 ^ g0; - crypto_int32 x1 = f1 ^ g1; - crypto_int32 x2 = f2 ^ g2; - crypto_int32 x3 = f3 ^ g3; - crypto_int32 x4 = f4 ^ g4; - crypto_int32 x5 = f5 ^ g5; - crypto_int32 x6 = f6 ^ g6; - crypto_int32 x7 = f7 ^ g7; - crypto_int32 x8 = f8 ^ g8; - crypto_int32 x9 = f9 ^ g9; - b = -b; - x0 &= b; - x1 &= b; - x2 &= b; - x3 &= b; - x4 &= b; - x5 &= b; - x6 &= b; - x7 &= b; - x8 &= b; - x9 &= b; - f[0] = f0 ^ x0; - f[1] = f1 ^ x1; - f[2] = f2 ^ x2; - f[3] = f3 ^ x3; - f[4] = f4 ^ x4; - f[5] = f5 ^ x5; - f[6] = f6 ^ x6; - f[7] = f7 ^ x7; - f[8] = f8 ^ x8; - f[9] = f9 ^ x9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_copy.c b/src/crypto/shen_ed25519_ref/ref10/fe_copy.c deleted file mode 100644 index 9c5bf865a..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_copy.c +++ /dev/null @@ -1,29 +0,0 @@ -#include "fe.h" - -/* -h = f -*/ - -void fe_copy(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - h[0] = f0; - h[1] = f1; - h[2] = f2; - h[3] = f3; - h[4] = f4; - h[5] = f5; - h[6] = f6; - h[7] = f7; - h[8] = f8; - h[9] = f9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_frombytes.c b/src/crypto/shen_ed25519_ref/ref10/fe_frombytes.c deleted file mode 100644 index 5c1791748..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_frombytes.c +++ /dev/null @@ -1,73 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -/* -Ignores top bit of h. -*/ - -void fe_frombytes(fe h,const unsigned char *s) -{ - crypto_int64 h0 = load_4(s); - crypto_int64 h1 = load_3(s + 4) << 6; - crypto_int64 h2 = load_3(s + 7) << 5; - crypto_int64 h3 = load_3(s + 10) << 3; - crypto_int64 h4 = load_3(s + 13) << 2; - crypto_int64 h5 = load_4(s + 16); - crypto_int64 h6 = load_3(s + 20) << 7; - crypto_int64 h7 = load_3(s + 23) << 5; - crypto_int64 h8 = load_3(s + 26) << 4; - crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_invert.c b/src/crypto/shen_ed25519_ref/ref10/fe_invert.c deleted file mode 100644 index bcfdb8ff8..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_invert.c +++ /dev/null @@ -1,14 +0,0 @@ -#include "fe.h" - -void fe_invert(fe out,const fe z) -{ - fe t0; - fe t1; - fe t2; - fe t3; - int i; - -#include "pow225521.h" - - return; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_isnegative.c b/src/crypto/shen_ed25519_ref/ref10/fe_isnegative.c deleted file mode 100644 index 3b2c8b8d5..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_isnegative.c +++ /dev/null @@ -1,16 +0,0 @@ -#include "fe.h" - -/* -return 1 if f is in {1,3,5,...,q-2} -return 0 if f is in {0,2,4,...,q-1} - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -int fe_isnegative(const fe f) -{ - unsigned char s[32]; - fe_tobytes(s,f); - return s[0] & 1; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_isnonzero.c b/src/crypto/shen_ed25519_ref/ref10/fe_isnonzero.c deleted file mode 100644 index 47568001c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_isnonzero.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" -#include "crypto_verify_32.h" - -/* -return 1 if f == 0 -return 0 if f != 0 - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -static const unsigned char zero[32]; - -int fe_isnonzero(const fe f) -{ - unsigned char s[32]; - fe_tobytes(s,f); - return crypto_verify_32(s,zero); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_mul.c b/src/crypto/shen_ed25519_ref/ref10/fe_mul.c deleted file mode 100644 index 26ca8b368..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_mul.c +++ /dev/null @@ -1,253 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = f * g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -Notes on implementation strategy: - -Using schoolbook multiplication. -Karatsuba would save a little in some cost models. - -Most multiplications by 2 and 19 are 32-bit precomputations; -cheaper than 64-bit postcomputations. - -There is one remaining multiplication by 19 in the carry chain; -one *19 precomputation can be merged into this, -but the resulting data flow is considerably less clean. - -There are 12 carries below. -10 of them are 2-way parallelizable and vectorizable. -Can get away with 11 carries, but then data flow is much deeper. - -With tighter constraints on inputs can squeeze carries into int32. -*/ - -void fe_mul(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */ - crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ - crypto_int32 g3_19 = 19 * g3; - crypto_int32 g4_19 = 19 * g4; - crypto_int32 g5_19 = 19 * g5; - crypto_int32 g6_19 = 19 * g6; - crypto_int32 g7_19 = 19 * g7; - crypto_int32 g8_19 = 19 * g8; - crypto_int32 g9_19 = 19 * g9; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f9_2 = 2 * f9; - crypto_int64 f0g0 = f0 * (crypto_int64) g0; - crypto_int64 f0g1 = f0 * (crypto_int64) g1; - crypto_int64 f0g2 = f0 * (crypto_int64) g2; - crypto_int64 f0g3 = f0 * (crypto_int64) g3; - crypto_int64 f0g4 = f0 * (crypto_int64) g4; - crypto_int64 f0g5 = f0 * (crypto_int64) g5; - crypto_int64 f0g6 = f0 * (crypto_int64) g6; - crypto_int64 f0g7 = f0 * (crypto_int64) g7; - crypto_int64 f0g8 = f0 * (crypto_int64) g8; - crypto_int64 f0g9 = f0 * (crypto_int64) g9; - crypto_int64 f1g0 = f1 * (crypto_int64) g0; - crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; - crypto_int64 f1g2 = f1 * (crypto_int64) g2; - crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; - crypto_int64 f1g4 = f1 * (crypto_int64) g4; - crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; - crypto_int64 f1g6 = f1 * (crypto_int64) g6; - crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; - crypto_int64 f1g8 = f1 * (crypto_int64) g8; - crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; - crypto_int64 f2g0 = f2 * (crypto_int64) g0; - crypto_int64 f2g1 = f2 * (crypto_int64) g1; - crypto_int64 f2g2 = f2 * (crypto_int64) g2; - crypto_int64 f2g3 = f2 * (crypto_int64) g3; - crypto_int64 f2g4 = f2 * (crypto_int64) g4; - crypto_int64 f2g5 = f2 * (crypto_int64) g5; - crypto_int64 f2g6 = f2 * (crypto_int64) g6; - crypto_int64 f2g7 = f2 * (crypto_int64) g7; - crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; - crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; - crypto_int64 f3g0 = f3 * (crypto_int64) g0; - crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; - crypto_int64 f3g2 = f3 * (crypto_int64) g2; - crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; - crypto_int64 f3g4 = f3 * (crypto_int64) g4; - crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; - crypto_int64 f3g6 = f3 * (crypto_int64) g6; - crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; - crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; - crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; - crypto_int64 f4g0 = f4 * (crypto_int64) g0; - crypto_int64 f4g1 = f4 * (crypto_int64) g1; - crypto_int64 f4g2 = f4 * (crypto_int64) g2; - crypto_int64 f4g3 = f4 * (crypto_int64) g3; - crypto_int64 f4g4 = f4 * (crypto_int64) g4; - crypto_int64 f4g5 = f4 * (crypto_int64) g5; - crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; - crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; - crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; - crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; - crypto_int64 f5g0 = f5 * (crypto_int64) g0; - crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; - crypto_int64 f5g2 = f5 * (crypto_int64) g2; - crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; - crypto_int64 f5g4 = f5 * (crypto_int64) g4; - crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; - crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; - crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; - crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; - crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; - crypto_int64 f6g0 = f6 * (crypto_int64) g0; - crypto_int64 f6g1 = f6 * (crypto_int64) g1; - crypto_int64 f6g2 = f6 * (crypto_int64) g2; - crypto_int64 f6g3 = f6 * (crypto_int64) g3; - crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; - crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; - crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; - crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; - crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; - crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; - crypto_int64 f7g0 = f7 * (crypto_int64) g0; - crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; - crypto_int64 f7g2 = f7 * (crypto_int64) g2; - crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; - crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; - crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; - crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; - crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; - crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; - crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; - crypto_int64 f8g0 = f8 * (crypto_int64) g0; - crypto_int64 f8g1 = f8 * (crypto_int64) g1; - crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; - crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; - crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; - crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; - crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; - crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; - crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; - crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; - crypto_int64 f9g0 = f9 * (crypto_int64) g0; - crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; - crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; - crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; - crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; - crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; - crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; - crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; - crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; - crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; - crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; - crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; - crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; - crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; - crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; - crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; - crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; - crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; - crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; - crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - /* - |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) - i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 - |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) - i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 - */ - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - /* |h0| <= 2^25 */ - /* |h4| <= 2^25 */ - /* |h1| <= 1.71*2^59 */ - /* |h5| <= 1.71*2^59 */ - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - /* |h1| <= 2^24; from now on fits into int32 */ - /* |h5| <= 2^24; from now on fits into int32 */ - /* |h2| <= 1.41*2^60 */ - /* |h6| <= 1.41*2^60 */ - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - /* |h2| <= 2^25; from now on fits into int32 unchanged */ - /* |h6| <= 2^25; from now on fits into int32 unchanged */ - /* |h3| <= 1.71*2^59 */ - /* |h7| <= 1.71*2^59 */ - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - /* |h3| <= 2^24; from now on fits into int32 unchanged */ - /* |h7| <= 2^24; from now on fits into int32 unchanged */ - /* |h4| <= 1.72*2^34 */ - /* |h8| <= 1.41*2^60 */ - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - /* |h4| <= 2^25; from now on fits into int32 unchanged */ - /* |h8| <= 2^25; from now on fits into int32 unchanged */ - /* |h5| <= 1.01*2^24 */ - /* |h9| <= 1.71*2^59 */ - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - /* |h9| <= 2^24; from now on fits into int32 unchanged */ - /* |h0| <= 1.1*2^39 */ - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - /* |h0| <= 2^25; from now on fits into int32 unchanged */ - /* |h1| <= 1.01*2^24 */ - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_neg.c b/src/crypto/shen_ed25519_ref/ref10/fe_neg.c deleted file mode 100644 index 2078ce528..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_neg.c +++ /dev/null @@ -1,45 +0,0 @@ -#include "fe.h" - -/* -h = -f - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. -*/ - -void fe_neg(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 h0 = -f0; - crypto_int32 h1 = -f1; - crypto_int32 h2 = -f2; - crypto_int32 h3 = -f3; - crypto_int32 h4 = -f4; - crypto_int32 h5 = -f5; - crypto_int32 h6 = -f6; - crypto_int32 h7 = -f7; - crypto_int32 h8 = -f8; - crypto_int32 h9 = -f9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_pow22523.c b/src/crypto/shen_ed25519_ref/ref10/fe_pow22523.c deleted file mode 100644 index 56675a590..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_pow22523.c +++ /dev/null @@ -1,13 +0,0 @@ -#include "fe.h" - -void fe_pow22523(fe out,const fe z) -{ - fe t0; - fe t1; - fe t2; - int i; - -#include "pow22523.h" - - return; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_sq.c b/src/crypto/shen_ed25519_ref/ref10/fe_sq.c deleted file mode 100644 index 8dd119841..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_sq.c +++ /dev/null @@ -1,149 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 f0_2 = 2 * f0; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f2_2 = 2 * f2; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f4_2 = 2 * f4; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f6_2 = 2 * f6; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ - crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ - crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ - crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ - crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ - crypto_int64 f0f0 = f0 * (crypto_int64) f0; - crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; - crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; - crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; - crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; - crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; - crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; - crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; - crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; - crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; - crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; - crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; - crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; - crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; - crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; - crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; - crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; - crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; - crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; - crypto_int64 f2f2 = f2 * (crypto_int64) f2; - crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; - crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; - crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; - crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; - crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; - crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; - crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; - crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; - crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; - crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; - crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; - crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; - crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; - crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; - crypto_int64 f4f4 = f4 * (crypto_int64) f4; - crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; - crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; - crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; - crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; - crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; - crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; - crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; - crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; - crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; - crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; - crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; - crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; - crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; - crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; - crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; - crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; - crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; - crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; - crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; - crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; - crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_sq2.c b/src/crypto/shen_ed25519_ref/ref10/fe_sq2.c deleted file mode 100644 index 026ed3aac..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_sq2.c +++ /dev/null @@ -1,160 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = 2 * f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq2(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 f0_2 = 2 * f0; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f2_2 = 2 * f2; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f4_2 = 2 * f4; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f6_2 = 2 * f6; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ - crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ - crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ - crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ - crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ - crypto_int64 f0f0 = f0 * (crypto_int64) f0; - crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; - crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; - crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; - crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; - crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; - crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; - crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; - crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; - crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; - crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; - crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; - crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; - crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; - crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; - crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; - crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; - crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; - crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; - crypto_int64 f2f2 = f2 * (crypto_int64) f2; - crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; - crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; - crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; - crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; - crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; - crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; - crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; - crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; - crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; - crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; - crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; - crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; - crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; - crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; - crypto_int64 f4f4 = f4 * (crypto_int64) f4; - crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; - crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; - crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; - crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; - crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; - crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; - crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; - crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; - crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; - crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; - crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; - crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; - crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; - crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; - crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; - crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; - crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; - crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; - crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; - crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; - crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - h0 += h0; - h1 += h1; - h2 += h2; - h3 += h3; - h4 += h4; - h5 += h5; - h6 += h6; - h7 += h7; - h8 += h8; - h9 += h9; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_sub.c b/src/crypto/shen_ed25519_ref/ref10/fe_sub.c deleted file mode 100644 index 6e26b7df8..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_sub.c +++ /dev/null @@ -1,57 +0,0 @@ -#include "fe.h" - -/* -h = f - g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_sub(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 h0 = f0 - g0; - crypto_int32 h1 = f1 - g1; - crypto_int32 h2 = f2 - g2; - crypto_int32 h3 = f3 - g3; - crypto_int32 h4 = f4 - g4; - crypto_int32 h5 = f5 - g5; - crypto_int32 h6 = f6 - g6; - crypto_int32 h7 = f7 - g7; - crypto_int32 h8 = f8 - g8; - crypto_int32 h9 = f9 - g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_tobytes.c b/src/crypto/shen_ed25519_ref/ref10/fe_tobytes.c deleted file mode 100644 index 0a63baf9c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/fe_tobytes.c +++ /dev/null @@ -1,119 +0,0 @@ -#include "fe.h" - -/* -Preconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. - -Write p=2^255-19; q=floor(h/p). -Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). - -Proof: - Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. - Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. - - Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). - Then 0> 25; - q = (h0 + q) >> 26; - q = (h1 + q) >> 25; - q = (h2 + q) >> 26; - q = (h3 + q) >> 25; - q = (h4 + q) >> 26; - q = (h5 + q) >> 25; - q = (h6 + q) >> 26; - q = (h7 + q) >> 25; - q = (h8 + q) >> 26; - q = (h9 + q) >> 25; - - /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ - h0 += 19 * q; - /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ - - carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26; - carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; - carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; - carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; - carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; - carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; - carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; - carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; - carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; - carry9 = h9 >> 25; h9 -= carry9 << 25; - /* h10 = carry9 */ - - /* - Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. - Have h0+...+2^230 h9 between 0 and 2^255-1; - evidently 2^255 h10-2^255 q = 0. - Goal: Output h0+...+2^230 h9. - */ - - s[0] = h0 >> 0; - s[1] = h0 >> 8; - s[2] = h0 >> 16; - s[3] = (h0 >> 24) | (h1 << 2); - s[4] = h1 >> 6; - s[5] = h1 >> 14; - s[6] = (h1 >> 22) | (h2 << 3); - s[7] = h2 >> 5; - s[8] = h2 >> 13; - s[9] = (h2 >> 21) | (h3 << 5); - s[10] = h3 >> 3; - s[11] = h3 >> 11; - s[12] = (h3 >> 19) | (h4 << 6); - s[13] = h4 >> 2; - s[14] = h4 >> 10; - s[15] = h4 >> 18; - s[16] = h5 >> 0; - s[17] = h5 >> 8; - s[18] = h5 >> 16; - s[19] = (h5 >> 24) | (h6 << 1); - s[20] = h6 >> 7; - s[21] = h6 >> 15; - s[22] = (h6 >> 23) | (h7 << 3); - s[23] = h7 >> 5; - s[24] = h7 >> 13; - s[25] = (h7 >> 21) | (h8 << 4); - s[26] = h8 >> 4; - s[27] = h8 >> 12; - s[28] = (h8 >> 20) | (h9 << 6); - s[29] = h9 >> 2; - s[30] = h9 >> 10; - s[31] = h9 >> 18; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge.h b/src/crypto/shen_ed25519_ref/ref10/ge.h deleted file mode 100644 index 55e95f95b..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge.h +++ /dev/null @@ -1,95 +0,0 @@ -#ifndef GE_H -#define GE_H - -/* -ge means group element. - -Here the group is the set of pairs (x,y) of field elements (see fe.h) -satisfying -x^2 + y^2 = 1 + d x^2y^2 -where d = -121665/121666. - -Representations: - ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z - ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT - ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T - ge_precomp (Duif): (y+x,y-x,2dxy) -*/ - -#include "fe.h" - -typedef struct { - fe X; - fe Y; - fe Z; -} ge_p2; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p3; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p1p1; - -typedef struct { - fe yplusx; - fe yminusx; - fe xy2d; -} ge_precomp; - -typedef struct { - fe YplusX; - fe YminusX; - fe Z; - fe T2d; -} ge_cached; - -#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime -#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes -#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes - -#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0 -#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0 -#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0 -#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2 -#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached -#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2 -#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3 -#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl -#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl - -#define ge_madd crypto_sign_ed25519_ref10_ge_madd -#define ge_msub crypto_sign_ed25519_ref10_ge_msub -#define ge_add crypto_sign_ed25519_ref10_ge_add -#define ge_sub crypto_sign_ed25519_ref10_ge_sub -#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base -#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime - -extern void ge_tobytes(unsigned char *,const ge_p2 *); -extern void ge_p3_tobytes(unsigned char *,const ge_p3 *); -extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); - -extern void ge_p2_0(ge_p2 *); -extern void ge_p3_0(ge_p3 *); -extern void ge_precomp_0(ge_precomp *); -extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *); -extern void ge_p3_to_cached(ge_cached *,const ge_p3 *); -extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); -extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); -extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); -extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); - -extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); -extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); -extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); -extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); -extern void ge_scalarmult_base(ge_p3 *,const unsigned char *); -extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *); - -#endif diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_add.c b/src/crypto/shen_ed25519_ref/ref10/ge_add.c deleted file mode 100644 index da7ff5d2e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_add.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p + q -*/ - -void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; -#include "ge_add.h" -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_add.h b/src/crypto/shen_ed25519_ref/ref10/ge_add.h deleted file mode 100644 index 7481f8ffb..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_add.h +++ /dev/null @@ -1,97 +0,0 @@ - -/* qhasm: enter ge_add */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe Z2 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ZZ */ - -/* qhasm: fe YpX2 */ - -/* qhasm: fe YmX2 */ - -/* qhasm: fe T2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*YpX2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YplusX); */ -fe_mul(r->Z,r->X,q->YplusX); - -/* qhasm: B = YmX1*YmX2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YminusX); */ -fe_mul(r->Y,r->Y,q->YminusX); - -/* qhasm: C = T2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ -fe_mul(r->T,q->T2d,p->T); - -/* qhasm: ZZ = Z1*Z2 */ -/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ -fe_mul(r->X,p->Z,q->Z); - -/* qhasm: D = 2*ZZ */ -/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ -fe_add(t0,r->X,r->X); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D+C */ -/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ -fe_add(r->Z,t0,r->T); - -/* qhasm: T3 = D-C */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ -fe_sub(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_add.q b/src/crypto/shen_ed25519_ref/ref10/ge_add.q deleted file mode 100644 index a6572ab0f..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_add.q +++ /dev/null @@ -1,49 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,> 3] >> (i & 7)); - - for (i = 0;i < 256;++i) - if (r[i]) { - for (b = 1;b <= 6 && i + b < 256;++b) { - if (r[i + b]) { - if (r[i] + (r[i + b] << b) <= 15) { - r[i] += r[i + b] << b; r[i + b] = 0; - } else if (r[i] - (r[i + b] << b) >= -15) { - r[i] -= r[i + b] << b; - for (k = i + b;k < 256;++k) { - if (!r[k]) { - r[k] = 1; - break; - } - r[k] = 0; - } - } else - break; - } - } - } - -} - -static ge_precomp Bi[8] = { -#include "base2.h" -} ; - -/* -r = a * A + b * B -where a = a[0]+256*a[1]+...+256^31 a[31]. -and b = b[0]+256*b[1]+...+256^31 b[31]. -B is the Ed25519 base point (x,4/5) with x positive. -*/ - -void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b) -{ - signed char aslide[256]; - signed char bslide[256]; - ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ - ge_p1p1 t; - ge_p3 u; - ge_p3 A2; - int i; - - slide(aslide,a); - slide(bslide,b); - - ge_p3_to_cached(&Ai[0],A); - ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); - ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); - ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); - ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); - ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); - ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); - ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); - ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); - - ge_p2_0(r); - - for (i = 255;i >= 0;--i) { - if (aslide[i] || bslide[i]) break; - } - - for (;i >= 0;--i) { - ge_p2_dbl(&t,r); - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u,&t); - ge_add(&t,&u,&Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u,&t); - ge_sub(&t,&u,&Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u,&t); - ge_madd(&t,&u,&Bi[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u,&t); - ge_msub(&t,&u,&Bi[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r,&t); - } -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_frombytes.c b/src/crypto/shen_ed25519_ref/ref10/ge_frombytes.c deleted file mode 100644 index 1a059ee93..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_frombytes.c +++ /dev/null @@ -1,50 +0,0 @@ -#include "ge.h" - -static const fe d = { -#include "d.h" -} ; - -static const fe sqrtm1 = { -#include "sqrtm1.h" -} ; - -int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) -{ - fe u; - fe v; - fe v3; - fe vxx; - fe check; - - fe_frombytes(h->Y,s); - fe_1(h->Z); - fe_sq(u,h->Y); - fe_mul(v,u,d); - fe_sub(u,u,h->Z); /* u = y^2-1 */ - fe_add(v,v,h->Z); /* v = dy^2+1 */ - - fe_sq(v3,v); - fe_mul(v3,v3,v); /* v3 = v^3 */ - fe_sq(h->X,v3); - fe_mul(h->X,h->X,v); - fe_mul(h->X,h->X,u); /* x = uv^7 */ - - fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ - fe_mul(h->X,h->X,v3); - fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ - - fe_sq(vxx,h->X); - fe_mul(vxx,vxx,v); - fe_sub(check,vxx,u); /* vx^2-u */ - if (fe_isnonzero(check)) { - fe_add(check,vxx,u); /* vx^2+u */ - if (fe_isnonzero(check)) return -1; - fe_mul(h->X,h->X,sqrtm1); - } - - if (fe_isnegative(h->X) == (s[31] >> 7)) - fe_neg(h->X,h->X); - - fe_mul(h->T,h->X,h->Y); - return 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_madd.c b/src/crypto/shen_ed25519_ref/ref10/ge_madd.c deleted file mode 100644 index 622571774..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_madd.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p + q -*/ - -void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) -{ - fe t0; -#include "ge_madd.h" -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_madd.h b/src/crypto/shen_ed25519_ref/ref10/ge_madd.h deleted file mode 100644 index ecae84952..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_madd.h +++ /dev/null @@ -1,88 +0,0 @@ - -/* qhasm: enter ge_madd */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ypx2 */ - -/* qhasm: fe ymx2 */ - -/* qhasm: fe xy2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*ypx2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yplusx); */ -fe_mul(r->Z,r->X,q->yplusx); - -/* qhasm: B = YmX1*ymx2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yminusx); */ -fe_mul(r->Y,r->Y,q->yminusx); - -/* qhasm: C = xy2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ -fe_mul(r->T,q->xy2d,p->T); - -/* qhasm: D = 2*Z1 */ -/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ -fe_add(t0,p->Z,p->Z); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D+C */ -/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ -fe_add(r->Z,t0,r->T); - -/* qhasm: T3 = D-C */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ -fe_sub(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_madd.q b/src/crypto/shen_ed25519_ref/ref10/ge_madd.q deleted file mode 100644 index aa3db454e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_madd.q +++ /dev/null @@ -1,46 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*ymx2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yminusx); */ -fe_mul(r->Z,r->X,q->yminusx); - -/* qhasm: B = YmX1*ypx2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yplusx); */ -fe_mul(r->Y,r->Y,q->yplusx); - -/* qhasm: C = xy2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ -fe_mul(r->T,q->xy2d,p->T); - -/* qhasm: D = 2*Z1 */ -/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ -fe_add(t0,p->Z,p->Z); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D-C */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ -fe_sub(r->Z,t0,r->T); - -/* qhasm: T3 = D+C */ -/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ -fe_add(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_msub.q b/src/crypto/shen_ed25519_ref/ref10/ge_msub.q deleted file mode 100644 index e3cadd882..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_msub.q +++ /dev/null @@ -1,46 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,X,p->X,p->T); - fe_mul(r->Y,p->Y,p->Z); - fe_mul(r->Z,p->Z,p->T); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p3.c b/src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p3.c deleted file mode 100644 index 2f57b1096..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p3.c +++ /dev/null @@ -1,13 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p) -{ - fe_mul(r->X,p->X,p->T); - fe_mul(r->Y,p->Y,p->Z); - fe_mul(r->Z,p->Z,p->T); - fe_mul(r->T,p->X,p->Y); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p2_0.c b/src/crypto/shen_ed25519_ref/ref10/ge_p2_0.c deleted file mode 100644 index 6191d1e6e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p2_0.c +++ /dev/null @@ -1,8 +0,0 @@ -#include "ge.h" - -void ge_p2_0(ge_p2 *h) -{ - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.c b/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.c deleted file mode 100644 index 2e332b5ce..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = 2 * p -*/ - -void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) -{ - fe t0; -#include "ge_p2_dbl.h" -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.h b/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.h deleted file mode 100644 index 128efed90..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.h +++ /dev/null @@ -1,73 +0,0 @@ - -/* qhasm: enter ge_p2_dbl */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe A */ - -/* qhasm: fe AA */ - -/* qhasm: fe XX */ - -/* qhasm: fe YY */ - -/* qhasm: fe B */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: XX=X1^2 */ -/* asm 1: fe_sq(>XX=fe#1,XX=r->X,X); */ -fe_sq(r->X,p->X); - -/* qhasm: YY=Y1^2 */ -/* asm 1: fe_sq(>YY=fe#3,YY=r->Z,Y); */ -fe_sq(r->Z,p->Y); - -/* qhasm: B=2*Z1^2 */ -/* asm 1: fe_sq2(>B=fe#4,B=r->T,Z); */ -fe_sq2(r->T,p->Z); - -/* qhasm: A=X1+Y1 */ -/* asm 1: fe_add(>A=fe#2,A=r->Y,X,Y); */ -fe_add(r->Y,p->X,p->Y); - -/* qhasm: AA=A^2 */ -/* asm 1: fe_sq(>AA=fe#5,AA=t0,Y); */ -fe_sq(t0,r->Y); - -/* qhasm: Y3=YY+XX */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,X); */ -fe_add(r->Y,r->Z,r->X); - -/* qhasm: Z3=YY-XX */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,Z,X); */ -fe_sub(r->Z,r->Z,r->X); - -/* qhasm: X3=AA-Y3 */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Y); */ -fe_sub(r->X,t0,r->Y); - -/* qhasm: T3=B-Z3 */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T,Z); */ -fe_sub(r->T,r->T,r->Z); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.q b/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.q deleted file mode 100644 index 170d42f9a..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.q +++ /dev/null @@ -1,41 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_sq2(>h,h=fe:asm/fe_add(>h,X); - fe_1(h->Y); - fe_1(h->Z); - fe_0(h->T); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_dbl.c b/src/crypto/shen_ed25519_ref/ref10/ge_p3_dbl.c deleted file mode 100644 index 0d8a05915..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_dbl.c +++ /dev/null @@ -1,12 +0,0 @@ -#include "ge.h" - -/* -r = 2 * p -*/ - -void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p) -{ - ge_p2 q; - ge_p3_to_p2(&q,p); - ge_p2_dbl(r,&q); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_cached.c b/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_cached.c deleted file mode 100644 index bde64228c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_cached.c +++ /dev/null @@ -1,17 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -static const fe d2 = { -#include "d2.h" -} ; - -extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p) -{ - fe_add(r->YplusX,p->Y,p->X); - fe_sub(r->YminusX,p->Y,p->X); - fe_copy(r->Z,p->Z); - fe_mul(r->T2d,p->T,d2); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_p2.c b/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_p2.c deleted file mode 100644 index e532a9e4c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_p2.c +++ /dev/null @@ -1,12 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p) -{ - fe_copy(r->X,p->X); - fe_copy(r->Y,p->Y); - fe_copy(r->Z,p->Z); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_tobytes.c b/src/crypto/shen_ed25519_ref/ref10/ge_p3_tobytes.c deleted file mode 100644 index 21cb2fc65..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_tobytes.c +++ /dev/null @@ -1,14 +0,0 @@ -#include "ge.h" - -void ge_p3_tobytes(unsigned char *s,const ge_p3 *h) -{ - fe recip; - fe x; - fe y; - - fe_invert(recip,h->Z); - fe_mul(x,h->X,recip); - fe_mul(y,h->Y,recip); - fe_tobytes(s,y); - s[31] ^= fe_isnegative(x) << 7; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_precomp_0.c b/src/crypto/shen_ed25519_ref/ref10/ge_precomp_0.c deleted file mode 100644 index 2e218861d..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_precomp_0.c +++ /dev/null @@ -1,8 +0,0 @@ -#include "ge.h" - -void ge_precomp_0(ge_precomp *h) -{ - fe_1(h->yplusx); - fe_1(h->yminusx); - fe_0(h->xy2d); -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_scalarmult_base.c b/src/crypto/shen_ed25519_ref/ref10/ge_scalarmult_base.c deleted file mode 100644 index 421e4fa0f..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_scalarmult_base.c +++ /dev/null @@ -1,105 +0,0 @@ -#include "ge.h" -#include "crypto_uint32.h" - -static unsigned char equal(signed char b,signed char c) -{ - unsigned char ub = b; - unsigned char uc = c; - unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ - crypto_uint32 y = x; /* 0: yes; 1..255: no */ - y -= 1; /* 4294967295: yes; 0..254: no */ - y >>= 31; /* 1: yes; 0: no */ - return y; -} - -static unsigned char negative(signed char b) -{ - unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ - x >>= 63; /* 1: yes; 0: no */ - return x; -} - -static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b) -{ - fe_cmov(t->yplusx,u->yplusx,b); - fe_cmov(t->yminusx,u->yminusx,b); - fe_cmov(t->xy2d,u->xy2d,b); -} - -/* base[i][j] = (j+1)*256^i*B */ -static ge_precomp base[32][8] = { -#include "base.h" -} ; - -static void select(ge_precomp *t,int pos,signed char b) -{ - ge_precomp minust; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - - ge_precomp_0(t); - cmov(t,&base[pos][0],equal(babs,1)); - cmov(t,&base[pos][1],equal(babs,2)); - cmov(t,&base[pos][2],equal(babs,3)); - cmov(t,&base[pos][3],equal(babs,4)); - cmov(t,&base[pos][4],equal(babs,5)); - cmov(t,&base[pos][5],equal(babs,6)); - cmov(t,&base[pos][6],equal(babs,7)); - cmov(t,&base[pos][7],equal(babs,8)); - fe_copy(minust.yplusx,t->yminusx); - fe_copy(minust.yminusx,t->yplusx); - fe_neg(minust.xy2d,t->xy2d); - cmov(t,&minust,bnegative); -} - -/* -h = a * B -where a = a[0]+256*a[1]+...+256^31 a[31] -B is the Ed25519 base point (x,4/5) with x positive. - -Preconditions: - a[31] <= 127 -*/ - -void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) -{ - signed char e[64]; - signed char carry; - ge_p1p1 r; - ge_p2 s; - ge_precomp t; - int i; - - for (i = 0;i < 32;++i) { - e[2 * i + 0] = (a[i] >> 0) & 15; - e[2 * i + 1] = (a[i] >> 4) & 15; - } - /* each e[i] is between 0 and 15 */ - /* e[63] is between 0 and 7 */ - - carry = 0; - for (i = 0;i < 63;++i) { - e[i] += carry; - carry = e[i] + 8; - carry >>= 4; - e[i] -= carry << 4; - } - e[63] += carry; - /* each e[i] is between -8 and 8 */ - - ge_p3_0(h); - for (i = 1;i < 64;i += 2) { - select(&t,i / 2,e[i]); - ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); - } - - ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r); - - for (i = 0;i < 64;i += 2) { - select(&t,i / 2,e[i]); - ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); - } -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_sub.c b/src/crypto/shen_ed25519_ref/ref10/ge_sub.c deleted file mode 100644 index 69f3d5406..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_sub.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p - q -*/ - -void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; -#include "ge_sub.h" -} diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_sub.h b/src/crypto/shen_ed25519_ref/ref10/ge_sub.h deleted file mode 100644 index b4ef1f5dd..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_sub.h +++ /dev/null @@ -1,97 +0,0 @@ - -/* qhasm: enter ge_sub */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe Z2 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ZZ */ - -/* qhasm: fe YpX2 */ - -/* qhasm: fe YmX2 */ - -/* qhasm: fe T2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*YmX2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YminusX); */ -fe_mul(r->Z,r->X,q->YminusX); - -/* qhasm: B = YmX1*YpX2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YplusX); */ -fe_mul(r->Y,r->Y,q->YplusX); - -/* qhasm: C = T2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ -fe_mul(r->T,q->T2d,p->T); - -/* qhasm: ZZ = Z1*Z2 */ -/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ -fe_mul(r->X,p->Z,q->Z); - -/* qhasm: D = 2*ZZ */ -/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ -fe_add(t0,r->X,r->X); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D-C */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ -fe_sub(r->Z,t0,r->T); - -/* qhasm: T3 = D+C */ -/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ -fe_add(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_sub.q b/src/crypto/shen_ed25519_ref/ref10/ge_sub.q deleted file mode 100644 index 2779a4a20..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/ge_sub.q +++ /dev/null @@ -1,49 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,Z); - fe_mul(x,h->X,recip); - fe_mul(y,h->Y,recip); - fe_tobytes(s,y); - s[31] ^= fe_isnegative(x) << 7; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/keypair.c b/src/crypto/shen_ed25519_ref/ref10/keypair.c deleted file mode 100644 index ac6cea2b7..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/keypair.c +++ /dev/null @@ -1,23 +0,0 @@ -#include -#include "randombytes.h" -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "ge.h" - -int crypto_sign_keypair(unsigned char *pk,unsigned char *sk) -{ - unsigned char az[64]; - ge_p3 A; - - randombytes(sk,32); - crypto_hash_sha512(az,sk,32); - az[0] &= 248; - az[31] &= 63; - az[31] |= 64; - - ge_scalarmult_base(&A,az); - ge_p3_tobytes(pk,&A); - - memmove(sk + 32,pk,32); - return 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/open.c b/src/crypto/shen_ed25519_ref/ref10/open.c deleted file mode 100644 index 1ec4cd2bf..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/open.c +++ /dev/null @@ -1,48 +0,0 @@ -#include -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "crypto_verify_32.h" -#include "ge.h" -#include "sc.h" - -int crypto_sign_open( - unsigned char *m,unsigned long long *mlen, - const unsigned char *sm,unsigned long long smlen, - const unsigned char *pk -) -{ - unsigned char pkcopy[32]; - unsigned char rcopy[32]; - unsigned char scopy[32]; - unsigned char h[64]; - unsigned char rcheck[32]; - ge_p3 A; - ge_p2 R; - - if (smlen < 64) goto badsig; - if (sm[63] & 224) goto badsig; - if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig; - - memmove(pkcopy,pk,32); - memmove(rcopy,sm,32); - memmove(scopy,sm + 32,32); - - memmove(m,sm,smlen); - memmove(m + 32,pkcopy,32); - crypto_hash_sha512(h,m,smlen); - sc_reduce(h); - - ge_double_scalarmult_vartime(&R,h,&A,scopy); - ge_tobytes(rcheck,&R); - if (crypto_verify_32(rcheck,rcopy) == 0) { - memmove(m,m + 64,smlen - 64); - memset(m + smlen - 64,0,64); - *mlen = smlen - 64; - return 0; - } - -badsig: - *mlen = -1; - memset(m,0,smlen); - return -1; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/pow22523.h b/src/crypto/shen_ed25519_ref/ref10/pow22523.h deleted file mode 100644 index 60ffe0d34..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/pow22523.h +++ /dev/null @@ -1,160 +0,0 @@ - -/* qhasm: fe z1 */ - -/* qhasm: fe z2 */ - -/* qhasm: fe z8 */ - -/* qhasm: fe z9 */ - -/* qhasm: fe z11 */ - -/* qhasm: fe z22 */ - -/* qhasm: fe z_5_0 */ - -/* qhasm: fe z_10_5 */ - -/* qhasm: fe z_10_0 */ - -/* qhasm: fe z_20_10 */ - -/* qhasm: fe z_20_0 */ - -/* qhasm: fe z_40_20 */ - -/* qhasm: fe z_40_0 */ - -/* qhasm: fe z_50_10 */ - -/* qhasm: fe z_50_0 */ - -/* qhasm: fe z_100_50 */ - -/* qhasm: fe z_100_0 */ - -/* qhasm: fe z_200_100 */ - -/* qhasm: fe z_200_0 */ - -/* qhasm: fe z_250_50 */ - -/* qhasm: fe z_250_0 */ - -/* qhasm: fe z_252_2 */ - -/* qhasm: fe z_252_3 */ - -/* qhasm: enter pow22523 */ - -/* qhasm: z2 = z1^2^1 */ -/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ -/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ -fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z8 = z2^2^2 */ -/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ -/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ -fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); - -/* qhasm: z9 = z1*z8 */ -/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#1,z22=fe#1,>z22=fe#1); */ -/* asm 2: fe_sq(>z22=t0,z22=t0,>z22=t0); */ -fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z_5_0 = z9*z22 */ -/* asm 1: fe_mul(>z_5_0=fe#1,z_5_0=t0,z_10_5=fe#2,z_10_5=fe#2,>z_10_5=fe#2); */ -/* asm 2: fe_sq(>z_10_5=t1,z_10_5=t1,>z_10_5=t1); */ -fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); - -/* qhasm: z_10_0 = z_10_5*z_5_0 */ -/* asm 1: fe_mul(>z_10_0=fe#1,z_10_0=t0,z_20_10=fe#2,z_20_10=fe#2,>z_20_10=fe#2); */ -/* asm 2: fe_sq(>z_20_10=t1,z_20_10=t1,>z_20_10=t1); */ -fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); - -/* qhasm: z_20_0 = z_20_10*z_10_0 */ -/* asm 1: fe_mul(>z_20_0=fe#2,z_20_0=t1,z_40_20=fe#3,z_40_20=fe#3,>z_40_20=fe#3); */ -/* asm 2: fe_sq(>z_40_20=t2,z_40_20=t2,>z_40_20=t2); */ -fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); - -/* qhasm: z_40_0 = z_40_20*z_20_0 */ -/* asm 1: fe_mul(>z_40_0=fe#2,z_40_0=t1,z_50_10=fe#2,z_50_10=fe#2,>z_50_10=fe#2); */ -/* asm 2: fe_sq(>z_50_10=t1,z_50_10=t1,>z_50_10=t1); */ -fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); - -/* qhasm: z_50_0 = z_50_10*z_10_0 */ -/* asm 1: fe_mul(>z_50_0=fe#1,z_50_0=t0,z_100_50=fe#2,z_100_50=fe#2,>z_100_50=fe#2); */ -/* asm 2: fe_sq(>z_100_50=t1,z_100_50=t1,>z_100_50=t1); */ -fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); - -/* qhasm: z_100_0 = z_100_50*z_50_0 */ -/* asm 1: fe_mul(>z_100_0=fe#2,z_100_0=t1,z_200_100=fe#3,z_200_100=fe#3,>z_200_100=fe#3); */ -/* asm 2: fe_sq(>z_200_100=t2,z_200_100=t2,>z_200_100=t2); */ -fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); - -/* qhasm: z_200_0 = z_200_100*z_100_0 */ -/* asm 1: fe_mul(>z_200_0=fe#2,z_200_0=t1,z_250_50=fe#2,z_250_50=fe#2,>z_250_50=fe#2); */ -/* asm 2: fe_sq(>z_250_50=t1,z_250_50=t1,>z_250_50=t1); */ -fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); - -/* qhasm: z_250_0 = z_250_50*z_50_0 */ -/* asm 1: fe_mul(>z_250_0=fe#1,z_250_0=t0,z_252_2=fe#1,z_252_2=fe#1,>z_252_2=fe#1); */ -/* asm 2: fe_sq(>z_252_2=t0,z_252_2=t0,>z_252_2=t0); */ -fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); - -/* qhasm: z_252_3 = z_252_2*z1 */ -/* asm 1: fe_mul(>z_252_3=fe#12,z_252_3=out,z1=fe#11: -return:nofallthrough:h=fe:asm/fe_mul(>h,h=fe:#k:asm/fe_sq(>h,h,>h);: - -: - -fe z1 -fe z2 -fe z8 -fe z9 -fe z11 -fe z22 -fe z_5_0 -fe z_10_5 -fe z_10_0 -fe z_20_10 -fe z_20_0 -fe z_40_20 -fe z_40_0 -fe z_50_10 -fe z_50_0 -fe z_100_50 -fe z_100_0 -fe z_200_100 -fe z_200_0 -fe z_250_50 -fe z_250_0 -fe z_252_2 -fe z_252_3 - -enter pow22523 - -z2 = z1^2^1 -z8 = z2^2^2 -z9 = z1*z8 -z11 = z2*z9 -z22 = z11^2^1 -z_5_0 = z9*z22 -z_10_5 = z_5_0^2^5 -z_10_0 = z_10_5*z_5_0 -z_20_10 = z_10_0^2^10 -z_20_0 = z_20_10*z_10_0 -z_40_20 = z_20_0^2^20 -z_40_0 = z_40_20*z_20_0 -z_50_10 = z_40_0^2^10 -z_50_0 = z_50_10*z_10_0 -z_100_50 = z_50_0^2^50 -z_100_0 = z_100_50*z_50_0 -z_200_100 = z_100_0^2^100 -z_200_0 = z_200_100*z_100_0 -z_250_50 = z_200_0^2^50 -z_250_0 = z_250_50*z_50_0 -z_252_2 = z_250_0^2^2 -z_252_3 = z_252_2*z1 - -return diff --git a/src/crypto/shen_ed25519_ref/ref10/pow225521.h b/src/crypto/shen_ed25519_ref/ref10/pow225521.h deleted file mode 100644 index 109df779a..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/pow225521.h +++ /dev/null @@ -1,160 +0,0 @@ - -/* qhasm: fe z1 */ - -/* qhasm: fe z2 */ - -/* qhasm: fe z8 */ - -/* qhasm: fe z9 */ - -/* qhasm: fe z11 */ - -/* qhasm: fe z22 */ - -/* qhasm: fe z_5_0 */ - -/* qhasm: fe z_10_5 */ - -/* qhasm: fe z_10_0 */ - -/* qhasm: fe z_20_10 */ - -/* qhasm: fe z_20_0 */ - -/* qhasm: fe z_40_20 */ - -/* qhasm: fe z_40_0 */ - -/* qhasm: fe z_50_10 */ - -/* qhasm: fe z_50_0 */ - -/* qhasm: fe z_100_50 */ - -/* qhasm: fe z_100_0 */ - -/* qhasm: fe z_200_100 */ - -/* qhasm: fe z_200_0 */ - -/* qhasm: fe z_250_50 */ - -/* qhasm: fe z_250_0 */ - -/* qhasm: fe z_255_5 */ - -/* qhasm: fe z_255_21 */ - -/* qhasm: enter pow225521 */ - -/* qhasm: z2 = z1^2^1 */ -/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ -/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ -fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z8 = z2^2^2 */ -/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ -/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ -fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); - -/* qhasm: z9 = z1*z8 */ -/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#3,z22=fe#3,>z22=fe#3); */ -/* asm 2: fe_sq(>z22=t2,z22=t2,>z22=t2); */ -fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); - -/* qhasm: z_5_0 = z9*z22 */ -/* asm 1: fe_mul(>z_5_0=fe#2,z_5_0=t1,z_10_5=fe#3,z_10_5=fe#3,>z_10_5=fe#3); */ -/* asm 2: fe_sq(>z_10_5=t2,z_10_5=t2,>z_10_5=t2); */ -fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); - -/* qhasm: z_10_0 = z_10_5*z_5_0 */ -/* asm 1: fe_mul(>z_10_0=fe#2,z_10_0=t1,z_20_10=fe#3,z_20_10=fe#3,>z_20_10=fe#3); */ -/* asm 2: fe_sq(>z_20_10=t2,z_20_10=t2,>z_20_10=t2); */ -fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); - -/* qhasm: z_20_0 = z_20_10*z_10_0 */ -/* asm 1: fe_mul(>z_20_0=fe#3,z_20_0=t2,z_40_20=fe#4,z_40_20=fe#4,>z_40_20=fe#4); */ -/* asm 2: fe_sq(>z_40_20=t3,z_40_20=t3,>z_40_20=t3); */ -fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); - -/* qhasm: z_40_0 = z_40_20*z_20_0 */ -/* asm 1: fe_mul(>z_40_0=fe#3,z_40_0=t2,z_50_10=fe#3,z_50_10=fe#3,>z_50_10=fe#3); */ -/* asm 2: fe_sq(>z_50_10=t2,z_50_10=t2,>z_50_10=t2); */ -fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); - -/* qhasm: z_50_0 = z_50_10*z_10_0 */ -/* asm 1: fe_mul(>z_50_0=fe#2,z_50_0=t1,z_100_50=fe#3,z_100_50=fe#3,>z_100_50=fe#3); */ -/* asm 2: fe_sq(>z_100_50=t2,z_100_50=t2,>z_100_50=t2); */ -fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); - -/* qhasm: z_100_0 = z_100_50*z_50_0 */ -/* asm 1: fe_mul(>z_100_0=fe#3,z_100_0=t2,z_200_100=fe#4,z_200_100=fe#4,>z_200_100=fe#4); */ -/* asm 2: fe_sq(>z_200_100=t3,z_200_100=t3,>z_200_100=t3); */ -fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); - -/* qhasm: z_200_0 = z_200_100*z_100_0 */ -/* asm 1: fe_mul(>z_200_0=fe#3,z_200_0=t2,z_250_50=fe#3,z_250_50=fe#3,>z_250_50=fe#3); */ -/* asm 2: fe_sq(>z_250_50=t2,z_250_50=t2,>z_250_50=t2); */ -fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); - -/* qhasm: z_250_0 = z_250_50*z_50_0 */ -/* asm 1: fe_mul(>z_250_0=fe#2,z_250_0=t1,z_255_5=fe#2,z_255_5=fe#2,>z_255_5=fe#2); */ -/* asm 2: fe_sq(>z_255_5=t1,z_255_5=t1,>z_255_5=t1); */ -fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); - -/* qhasm: z_255_21 = z_255_5*z11 */ -/* asm 1: fe_mul(>z_255_21=fe#12,z_255_21=out,z1=fe#11: -return:nofallthrough:h=fe:asm/fe_mul(>h,h=fe:#k:asm/fe_sq(>h,h,>h);: - -: - -fe z1 -fe z2 -fe z8 -fe z9 -fe z11 -fe z22 -fe z_5_0 -fe z_10_5 -fe z_10_0 -fe z_20_10 -fe z_20_0 -fe z_40_20 -fe z_40_0 -fe z_50_10 -fe z_50_0 -fe z_100_50 -fe z_100_0 -fe z_200_100 -fe z_200_0 -fe z_250_50 -fe z_250_0 -fe z_255_5 -fe z_255_21 - -enter pow225521 - -z2 = z1^2^1 -z8 = z2^2^2 -z9 = z1*z8 -z11 = z2*z9 -z22 = z11^2^1 -z_5_0 = z9*z22 -z_10_5 = z_5_0^2^5 -z_10_0 = z_10_5*z_5_0 -z_20_10 = z_10_0^2^10 -z_20_0 = z_20_10*z_10_0 -z_40_20 = z_20_0^2^20 -z_40_0 = z_40_20*z_20_0 -z_50_10 = z_40_0^2^10 -z_50_0 = z_50_10*z_10_0 -z_100_50 = z_50_0^2^50 -z_100_0 = z_100_50*z_50_0 -z_200_100 = z_100_0^2^100 -z_200_0 = z_200_100*z_100_0 -z_250_50 = z_200_0^2^50 -z_250_0 = z_250_50*z_50_0 -z_255_5 = z_250_0^2^5 -z_255_21 = z_255_5*z11 - -return diff --git a/src/crypto/shen_ed25519_ref/ref10/q2h.sh b/src/crypto/shen_ed25519_ref/ref10/q2h.sh deleted file mode 100644 index 47ec5110e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/q2h.sh +++ /dev/null @@ -1,4 +0,0 @@ -#!/bin/sh -sed 's/^#.*//' \ -| qhasm-generic \ -| sed 's_//\(.*\)$_/*\1 */_' diff --git a/src/crypto/shen_ed25519_ref/ref10/sc.h b/src/crypto/shen_ed25519_ref/ref10/sc.h deleted file mode 100644 index d32ed2e8c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/sc.h +++ /dev/null @@ -1,15 +0,0 @@ -#ifndef SC_H -#define SC_H - -/* -The set of scalars is \Z/l -where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -#define sc_reduce crypto_sign_ed25519_ref10_sc_reduce -#define sc_muladd crypto_sign_ed25519_ref10_sc_muladd - -extern void sc_reduce(unsigned char *); -extern void sc_muladd(unsigned char *,const unsigned char *,const unsigned char *,const unsigned char *); - -#endif diff --git a/src/crypto/shen_ed25519_ref/ref10/sc_muladd.c b/src/crypto/shen_ed25519_ref/ref10/sc_muladd.c deleted file mode 100644 index 6f1e9d02d..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/sc_muladd.c +++ /dev/null @@ -1,368 +0,0 @@ -#include "sc.h" -#include "crypto_int64.h" -#include "crypto_uint32.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -/* -Input: - a[0]+256*a[1]+...+256^31*a[31] = a - b[0]+256*b[1]+...+256^31*b[31] = b - c[0]+256*c[1]+...+256^31*c[31] = c - -Output: - s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l - where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c) -{ - crypto_int64 a0 = 2097151 & load_3(a); - crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5); - crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2); - crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7); - crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4); - crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1); - crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6); - crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3); - crypto_int64 a8 = 2097151 & load_3(a + 21); - crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5); - crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2); - crypto_int64 a11 = (load_4(a + 28) >> 7); - crypto_int64 b0 = 2097151 & load_3(b); - crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5); - crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2); - crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7); - crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4); - crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1); - crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6); - crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3); - crypto_int64 b8 = 2097151 & load_3(b + 21); - crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5); - crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2); - crypto_int64 b11 = (load_4(b + 28) >> 7); - crypto_int64 c0 = 2097151 & load_3(c); - crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5); - crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2); - crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7); - crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4); - crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1); - crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6); - crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3); - crypto_int64 c8 = 2097151 & load_3(c + 21); - crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5); - crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2); - crypto_int64 c11 = (load_4(c + 28) >> 7); - crypto_int64 s0; - crypto_int64 s1; - crypto_int64 s2; - crypto_int64 s3; - crypto_int64 s4; - crypto_int64 s5; - crypto_int64 s6; - crypto_int64 s7; - crypto_int64 s8; - crypto_int64 s9; - crypto_int64 s10; - crypto_int64 s11; - crypto_int64 s12; - crypto_int64 s13; - crypto_int64 s14; - crypto_int64 s15; - crypto_int64 s16; - crypto_int64 s17; - crypto_int64 s18; - crypto_int64 s19; - crypto_int64 s20; - crypto_int64 s21; - crypto_int64 s22; - crypto_int64 s23; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - crypto_int64 carry10; - crypto_int64 carry11; - crypto_int64 carry12; - crypto_int64 carry13; - crypto_int64 carry14; - crypto_int64 carry15; - crypto_int64 carry16; - crypto_int64 carry17; - crypto_int64 carry18; - crypto_int64 carry19; - crypto_int64 carry20; - crypto_int64 carry21; - crypto_int64 carry22; - - s0 = c0 + a0*b0; - s1 = c1 + a0*b1 + a1*b0; - s2 = c2 + a0*b2 + a1*b1 + a2*b0; - s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0; - s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0; - s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0; - s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0; - s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0; - s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0; - s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0; - s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0; - s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0; - s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1; - s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2; - s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3; - s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4; - s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5; - s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6; - s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7; - s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8; - s20 = a9*b11 + a10*b10 + a11*b9; - s21 = a10*b11 + a11*b10; - s22 = a11*b11; - s23 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; - carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; - carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; - carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; - carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/sc_reduce.c b/src/crypto/shen_ed25519_ref/ref10/sc_reduce.c deleted file mode 100644 index d01f5a573..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/sc_reduce.c +++ /dev/null @@ -1,275 +0,0 @@ -#include "sc.h" -#include "crypto_int64.h" -#include "crypto_uint32.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -/* -Input: - s[0]+256*s[1]+...+256^63*s[63] = s - -Output: - s[0]+256*s[1]+...+256^31*s[31] = s mod l - where l = 2^252 + 27742317777372353535851937790883648493. - Overwrites s in place. -*/ - -void sc_reduce(unsigned char *s) -{ - crypto_int64 s0 = 2097151 & load_3(s); - crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5); - crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2); - crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7); - crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4); - crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1); - crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6); - crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3); - crypto_int64 s8 = 2097151 & load_3(s + 21); - crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5); - crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2); - crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7); - crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4); - crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1); - crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6); - crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3); - crypto_int64 s16 = 2097151 & load_3(s + 42); - crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5); - crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2); - crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7); - crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4); - crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1); - crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6); - crypto_int64 s23 = (load_4(s + 60) >> 3); - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - crypto_int64 carry10; - crypto_int64 carry11; - crypto_int64 carry12; - crypto_int64 carry13; - crypto_int64 carry14; - crypto_int64 carry15; - crypto_int64 carry16; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/sign.c b/src/crypto/shen_ed25519_ref/ref10/sign.c deleted file mode 100644 index de53742a6..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/sign.c +++ /dev/null @@ -1,41 +0,0 @@ -#include -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "ge.h" -#include "sc.h" - -int crypto_sign( - unsigned char *sm,unsigned long long *smlen, - const unsigned char *m,unsigned long long mlen, - const unsigned char *sk -) -{ - unsigned char pk[32]; - unsigned char az[64]; - unsigned char nonce[64]; - unsigned char hram[64]; - ge_p3 R; - - memmove(pk,sk + 32,32); - - crypto_hash_sha512(az,sk,32); - az[0] &= 248; - az[31] &= 63; - az[31] |= 64; - - *smlen = mlen + 64; - memmove(sm + 64,m,mlen); - memmove(sm + 32,az + 32,32); - crypto_hash_sha512(nonce,sm + 32,mlen + 32); - memmove(sm + 32,pk,32); - - sc_reduce(nonce); - ge_scalarmult_base(&R,nonce); - ge_p3_tobytes(sm,&R); - - crypto_hash_sha512(hram,sm,mlen + 64); - sc_reduce(hram); - sc_muladd(sm + 32,hram,az,nonce); - - return 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10/sqrtm1.h b/src/crypto/shen_ed25519_ref/ref10/sqrtm1.h deleted file mode 100644 index d8caa23b6..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/sqrtm1.h +++ /dev/null @@ -1 +0,0 @@ --32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482 diff --git a/src/crypto/shen_ed25519_ref/ref10/sqrtm1.py b/src/crypto/shen_ed25519_ref/ref10/sqrtm1.py deleted file mode 100644 index 9a47fbc12..000000000 --- a/src/crypto/shen_ed25519_ref/ref10/sqrtm1.py +++ /dev/null @@ -1,28 +0,0 @@ -q = 2**255 - 19 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -I = expmod(2,(q-1)/4,q) -print radix255(I) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/MakeCryptoOps.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/MakeCryptoOps.py deleted file mode 100644 index a37ddf370..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/MakeCryptoOps.py +++ /dev/null @@ -1,261 +0,0 @@ -#assumes you have gnu sed, osx sed might need slight syntax changeo -#c.f. http://unix.stackexchange.com/questions/112023/how-can-i-replace-a-string-in-a-files - -#written by shen-noether monero research labs - -import os #for copying and sed etc. -import glob #for copy files -import textwrap #for comments etc - -print("make sure you have cat and grep installed") -print("also assumes gnu sed syntax, c.f. :http://unix.stackexchange.com/questions/112023/how-can-i-replace-a-string-in-a-files") -print("I believe osx may have slightly different version of sed") -print("maybe someone smart can replace the sed with perl..") - -a = "" - -license = textwrap.dedent("""\ - // Copyright (c) 2014-2015, The Monero Project - // - // All rights reserved. - // - // Redistribution and use in source and binary forms, with or without modification, are - // permitted provided that the following conditions are met: - // - // 1. Redistributions of source code must retain the above copyright notice, this list of - // conditions and the following disclaimer. - // - // 2. Redistributions in binary form must reproduce the above copyright notice, this list - // of conditions and the following disclaimer in the documentation and/or other - // materials provided with the distribution. - // - // 3. Neither the name of the copyright holder nor the names of its contributors may be - // used to endorse or promote products derived from this software without specific - // prior written permission. - // - // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY - // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF - // MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL - // THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, - // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS - // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - // STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF - // THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. - // - // Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers - """) - -crypto_ops_includes = textwrap.dedent("""\ - #include - #include - - #include "warnings.h" - #include "crypto-ops.h" - - DISABLE_VS_WARNINGS(4146 4244) - """) - -predeclarations = textwrap.dedent("""\ - /* Predeclarations */ - - static void fe_mul(fe, const fe, const fe); - static void fe_sq(fe, const fe); - static void fe_tobytes(unsigned char *, const fe); - static int fe_isnonzero(const fe); - static void ge_madd(ge_p1p1 *, const ge_p3 *, const ge_precomp *); - static void ge_msub(ge_p1p1 *, const ge_p3 *, const ge_precomp *); - static void ge_p2_0(ge_p2 *); - static void ge_p3_dbl(ge_p1p1 *, const ge_p3 *); - static void ge_sub(ge_p1p1 *, const ge_p3 *, const ge_cached *); - static void fe_divpowm1(fe, const fe, const fe); - """) - - - -fe_comments = textwrap.dedent("""\ - /* - fe means field element. - Here the field is \Z/(2^255-19). - An element t, entries t[0]...t[9], represents the integer - t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. - Bounds on each t[i] vary depending on context. - */ - """) - -sc_comments = textwrap.dedent("""\ - /* - * - * sc code - * - * - The set of scalars is \Z/l - where l = 2^252 + 27742317777372353535851937790883648493. - - This is the order of the curve ed25519. - The point is that if a is a scalar and P is a point, - and b is congruent to a mod l, then aP = bP. - Thus, reducing mod l can possibly give you a smaller scalar, - so your elliptic curve operations take less time - */ - """) - -ge_comments = textwrap.dedent("""\ - /* - * - * ge code - * - * - ge means group element. - - Here the group is the set of pairs (x,y) of field elements (see fe.h) - satisfying -x^2 + y^2 = 1 + d x^2y^2 - where d = -121665/121666. - - Representations: - ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z - ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT - ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T - ge_precomp (Duif): (y+x,y-x,2dxy) - */ - """) - -xmr_comments = textwrap.dedent("""\ - /* - * - * xmr specific code - * - * - This code is from the original CryptoNote. - Some additional functions were needed to compute ring signatures - which are not needed for signing. - Note that sc_sub and sc_mulsub have been given their own file - since these have been rewritten - - */ - """) - - - - -def qhasmToC(fi, header, out): - #replaces mentiones of "header" in "fi" with output in "out" - #also removes qhasm comments - out1 = out+".tmp" - rem_qhasm = " |grep -v 'qhasm' |grep -v ' asm'" - com = "sed -e '/#include \""+header+"\"/ {' -e 'r "+header+"' -e 'd' -e '}' "+fi+rem_qhasm+" > "+out1 - com2 = "awk 'NF' "+out1+" > "+out - print(com) - os.system(com) - print(com2) - os.system(com2) - os.remove(out1) #temporary - -while (a != "m") and (a != "m") and (a != "c"): - a = raw_input("Make / Clean/ Quit m / c / q?") - -if a == "m": - print("making crypto-ops.c and crypto-ops.h") - - - #ref10 header files - - #ref10 c files - - #fe things - #still need to do d2, d, sqrtm1 - print("making fe.c") - print(fe_comments) - fe = glob.glob("fe*.c") - for g in fe: - os.system("cp "+g+" "+g.replace("fe", "fe.monero.")) - qhasmToC("fe_pow22523.c", "pow22523.h", "fe.monero._pow22523.c") - qhasmToC("fe_invert.c", "pow225521.h", "fe.monero._invert.c") - os.system("rm fe.monero._isnonzero.c") #since it's modified, it's in xmrSpecificOld - os.system("cat fe.monero.*.c | grep -v '^#include' > fe.monero.c") - - #sc things - print("\nmaking sc.c") - print(sc_comments) - #so you don't get multiple "loads" - os.system("tail -n +24 sc_reduce.c > sc.monero._reduce.c") #also good on linux - os.system("tail -n +24 sc_muladd.c > sc.monero._muladd.c") - os.system("tail -n +31 sc_sub.xmr.c > sc.monero._sub.xmr.c") #careful with the tails if you change these files! - os.system("cat sc.monero.*.c | grep -v '^#include' > sc.monero.c") - - #ge stuff - print("making ge.c") - ge = glob.glob("ge*.c") - for g in ge: - os.system("cp "+g+" "+g.replace("ge", "ge.monero.")) - print(ge_comments) - #need to substitute the below lines for their .h files in the appropriate places - qhasmToC("ge_add.c", "ge_add.h", "ge.monero._add.c") - qhasmToC("ge_madd.c", "ge_madd.h", "ge.monero._madd.c") - qhasmToC("ge_sub.c", "ge_sub.h", "ge.monero._sub.c") - qhasmToC("ge_msub.c", "ge_msub.h", "ge.monero._msub.c") - qhasmToC("ge_p2_dbl.c", "ge_p2_dbl.h", "ge.monero._p2_dbl.c") - qhasmToC("ge_frombytes.c", "d.h", "ge.monero._frombytes.c") - qhasmToC("ge.monero._frombytes.c", "sqrtm1.h", "ge.monero._frombytes.c") - qhasmToC("ge_p3_to_cached.c", "d2.h", "ge.monero._p3_to_cached.c") - - - - #also ge_double_scalarmult needs base2.h for ge_precomp Bi - #note, base2.h is a large file! - #also in ge_scalarmult_base ge_precomp base needs base.h included - - qhasmToC("ge_double_scalarmult.c", "base2.h", "ge.monero._double_scalarmult.c") - qhasmToC("ge_scalarmult_base.c", "base.h", "ge.monero._scalarmult_base.c") - #qhasmToC("ge.monero._scalarmult_base.c", "base.h", "ge.monero._scalarmult_base.c") - os.system("sed -i 's/ cmov/ ge_precomp_cmov/g' ge.monero._scalarmult_base.c") - os.system("cat ge.monero.*.c | grep -v '^#include' > ge.monero.c") - - - print("making crypto-ops.c") - - #sqrtm1 things - - #comments - with open("fe.monero.comments", "w") as text_file: - text_file.write(fe_comments) - with open("ge.monero.comments", "w") as text_file: - text_file.write(ge_comments) - with open("sc.monero.comments", "w") as text_file: - text_file.write(sc_comments) - with open("xmr.monero.comments", "w") as text_file: - text_file.write(xmr_comments) - with open("xmr.monero.predeclarations", "w") as text_file: - text_file.write(predeclarations) - - - #license - with open("monero.license", "w") as text_file: - text_file.write(license) - - #crypto-ops.c includes - with open("crypto-ops.monero.includes", "w") as text_file: - text_file.write(crypto_ops_includes) - - #note you may have duplicates of load_3, load_4 and possibly some other functions ... - os.system("cat monero.license crypto-ops.monero.includes xmr.monero.predeclarations fe.monero.comments fe.monero.c sc.monero.comments sc.monero.c ge.monero.comments ge.monero.c xmr.monero.comments xmrSpecificOld.c > crypto-ops.c") - - #monero specific header files - #print("making crypto-ops-tmp.h") - #os.system("cat fe.h ge.h sc.h |grep -v crypto_sign_ed25519 |grep -v fe.h > crypto-ops-tmp.h") - #we'll just use the old header crypto-ops.h - - #replace crypto_ints - os.system("sed -i 's/crypto_int32/int32_t/g' crypto-ops.c") - os.system("sed -i 's/crypto_int64/int64_t/g' crypto-ops.c") - os.system("sed -i 's/crypto_uint32/uint32_t/g' crypto-ops.c") - os.system("sed -i 's/crypto_uint64/uint64_t/g' crypto-ops.c") - - #cleaning up - os.system("rm *monero*") - - #monero specific c files -if a == "c": - #turn the directory back into ref10 - os.system("rm *monero*") - os.system("rm crypto-ops.c") diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/api.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/api.h deleted file mode 100644 index d88dae0c3..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/api.h +++ /dev/null @@ -1,4 +0,0 @@ -#define CRYPTO_SECRETKEYBYTES 64 -#define CRYPTO_PUBLICKEYBYTES 32 -#define CRYPTO_BYTES 64 -#define CRYPTO_DETERMINISTIC 1 diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.h deleted file mode 100644 index 573bd8a05..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.h +++ /dev/null @@ -1,1344 +0,0 @@ -{ - { - { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, - 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}, -}, -{ - { - { -26016874,-219943,21339191,-41388,19745256,-2878700,-29637280,2227040,21612326,-545728 }, - { -13077387,1184228,23562814,-5970442,-20351244,-6348714,25764461,12243797,-20856566,11649658 }, - { -10031494,11262626,27384172,2271902,26947504,-15997771,39944,6114064,33514190,2333242 }, - }, - { - { -21433588,-12421821,8119782,7219913,-21830522,-9016134,-6679750,-12670638,24350578,-13450001 }, - { -4116307,-11271533,-23886186,4843615,-30088339,690623,-31536088,-10406836,8317860,12352766 }, - { 18200138,-14475911,-33087759,-2696619,-23702521,-9102511,-23552096,-2287550,20712163,6719373 }, - }, - { - { 26656208,6075253,-7858556,1886072,-28344043,4262326,11117530,-3763210,26224235,-3297458 }, - { -17168938,-14854097,-3395676,-16369877,-19954045,14050420,21728352,9493610,18620611,-16428628 }, - { -13323321,13325349,11432106,5964811,18609221,6062965,-5269471,-9725556,-30701573,-16479657 }, - }, - { - { -23860538,-11233159,26961357,1640861,-32413112,-16737940,12248509,-5240639,13735342,1934062 }, - { 25089769,6742589,17081145,-13406266,21909293,-16067981,-15136294,-3765346,-21277997,5473616 }, - { 31883677,-7961101,1083432,-11572403,22828471,13290673,-7125085,12469656,29111212,-5451014 }, - }, - { - { 24244947,-15050407,-26262976,2791540,-14997599,16666678,24367466,6388839,-10295587,452383 }, - { -25640782,-3417841,5217916,16224624,19987036,-4082269,-24236251,-5915248,15766062,8407814 }, - { -20406999,13990231,15495425,16395525,5377168,15166495,-8917023,-4388953,-8067909,2276718 }, - }, - { - { 30157918,12924066,-17712050,9245753,19895028,3368142,-23827587,5096219,22740376,-7303417 }, - { 2041139,-14256350,7783687,13876377,-25946985,-13352459,24051124,13742383,-15637599,13295222 }, - { 33338237,-8505733,12532113,7977527,9106186,-1715251,-17720195,-4612972,-4451357,-14669444 }, - }, - { - { -20045281,5454097,-14346548,6447146,28862071,1883651,-2469266,-4141880,7770569,9620597 }, - { 23208068,7979712,33071466,8149229,1758231,-10834995,30945528,-1694323,-33502340,-14767970 }, - { 1439958,-16270480,-1079989,-793782,4625402,10647766,-5043801,1220118,30494170,-11440799 }, - }, - { - { -5037580,-13028295,-2970559,-3061767,15640974,-6701666,-26739026,926050,-1684339,-13333647 }, - { 13908495,-3549272,30919928,-6273825,-21521863,7989039,9021034,9078865,3353509,4033511 }, - { -29663431,-15113610,32259991,-344482,24295849,-12912123,23161163,8839127,27485041,7356032 }, - }, -}, -{ - { - { 9661027,705443,11980065,-5370154,-1628543,14661173,-6346142,2625015,28431036,-16771834 }, - { -23839233,-8311415,-25945511,7480958,-17681669,-8354183,-22545972,14150565,15970762,4099461 }, - { 29262576,16756590,26350592,-8793563,8529671,-11208050,13617293,-9937143,11465739,8317062 }, - }, - { - { -25493081,-6962928,32500200,-9419051,-23038724,-2302222,14898637,3848455,20969334,-5157516 }, - { -20384450,-14347713,-18336405,13884722,-33039454,2842114,-21610826,-3649888,11177095,14989547 }, - { -24496721,-11716016,16959896,2278463,12066309,10137771,13515641,2581286,-28487508,9930240 }, - }, - { - { -17751622,-2097826,16544300,-13009300,-15914807,-14949081,18345767,-13403753,16291481,-5314038 }, - { -33229194,2553288,32678213,9875984,8534129,6889387,-9676774,6957617,4368891,9788741 }, - { 16660756,7281060,-10830758,12911820,20108584,-8101676,-21722536,-8613148,16250552,-11111103 }, - }, - { - { -19765507,2390526,-16551031,14161980,1905286,6414907,4689584,10604807,-30190403,4782747 }, - { -1354539,14736941,-7367442,-13292886,7710542,-14155590,-9981571,4383045,22546403,437323 }, - { 31665577,-12180464,-16186830,1491339,-18368625,3294682,27343084,2786261,-30633590,-14097016 }, - }, - { - { -14467279,-683715,-33374107,7448552,19294360,14334329,-19690631,2355319,-19284671,-6114373 }, - { 15121312,-15796162,6377020,-6031361,-10798111,-12957845,18952177,15496498,-29380133,11754228 }, - { -2637277,-13483075,8488727,-14303896,12728761,-1622493,7141596,11724556,22761615,-10134141 }, - }, - { - { 16918416,11729663,-18083579,3022987,-31015732,-13339659,-28741185,-12227393,32851222,11717399 }, - { 11166634,7338049,-6722523,4531520,-29468672,-7302055,31474879,3483633,-1193175,-4030831 }, - { -185635,9921305,31456609,-13536438,-12013818,13348923,33142652,6546660,-19985279,-3948376 }, - }, - { - { -32460596,11266712,-11197107,-7899103,31703694,3855903,-8537131,-12833048,-30772034,-15486313 }, - { -18006477,12709068,3991746,-6479188,-21491523,-10550425,-31135347,-16049879,10928917,3011958 }, - { -6957757,-15594337,31696059,334240,29576716,14796075,-30831056,-12805180,18008031,10258577 }, - }, - { - { -22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 }, - { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 }, - { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 }, - }, -}, diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.py deleted file mode 100644 index 84accc858..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.py +++ /dev/null @@ -1,65 +0,0 @@ -b = 256 -q = 2**255 - 19 -l = 2**252 + 27742317777372353535851937790883648493 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -d = -121665 * inv(121666) -I = expmod(2,(q-1)/4,q) - -def xrecover(y): - xx = (y*y-1) * inv(d*y*y+1) - x = expmod(xx,(q+3)/8,q) - if (x*x - xx) % q != 0: x = (x*I) % q - if x % 2 != 0: x = q-x - return x - -By = 4 * inv(5) -Bx = xrecover(By) -B = [Bx % q,By % q] - -def edwards(P,Q): - x1 = P[0] - y1 = P[1] - x2 = Q[0] - y2 = Q[1] - x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) - y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) - return [x3 % q,y3 % q] - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -Bi = B -for i in range(32): - print "{" - Bij = Bi - for j in range(8): - print " {" - print " {",radix255(Bij[1]+Bij[0]),"}," - print " {",radix255(Bij[1]-Bij[0]),"}," - print " {",radix255(2*d*Bij[0]*Bij[1]),"}," - Bij = edwards(Bij,Bi) - print " }," - print "}," - for k in range(8): - Bi = edwards(Bi,Bi) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.h deleted file mode 100644 index 8c538440f..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.h +++ /dev/null @@ -1,40 +0,0 @@ - { - { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, - { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, - { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, - }, - { - { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, - { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, - { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, - }, - { - { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, - { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, - { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, - }, - { - { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, - { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, - { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, - }, - { - { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 }, - { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 }, - { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 }, - }, - { - { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 }, - { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 }, - { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 }, - }, - { - { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 }, - { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 }, - { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 }, - }, - { - { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 }, - { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 }, - { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 }, - }, diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.py deleted file mode 100644 index 5e4e8739d..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.py +++ /dev/null @@ -1,60 +0,0 @@ -b = 256 -q = 2**255 - 19 -l = 2**252 + 27742317777372353535851937790883648493 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -d = -121665 * inv(121666) -I = expmod(2,(q-1)/4,q) - -def xrecover(y): - xx = (y*y-1) * inv(d*y*y+1) - x = expmod(xx,(q+3)/8,q) - if (x*x - xx) % q != 0: x = (x*I) % q - if x % 2 != 0: x = q-x - return x - -By = 4 * inv(5) -Bx = xrecover(By) -B = [Bx % q,By % q] - -def edwards(P,Q): - x1 = P[0] - y1 = P[1] - x2 = Q[0] - y2 = Q[1] - x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) - y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) - return [x3 % q,y3 % q] - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -Bi = B - -for i in range(8): - print " {" - print " {",radix255(Bi[1]+Bi[0]),"}," - print " {",radix255(Bi[1]-Bi[0]),"}," - print " {",radix255(2*d*Bi[0]*Bi[1]),"}," - print " }," - Bi = edwards(B,edwards(B,Bi)) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.c deleted file mode 100644 index 223224f40..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.c +++ /dev/null @@ -1,4830 +0,0 @@ -// Copyright (c) 2014-2015, The Monero Project -// -// All rights reserved. -// -// Redistribution and use in source and binary forms, with or without modification, are -// permitted provided that the following conditions are met: -// -// 1. Redistributions of source code must retain the above copyright notice, this list of -// conditions and the following disclaimer. -// -// 2. Redistributions in binary form must reproduce the above copyright notice, this list -// of conditions and the following disclaimer in the documentation and/or other -// materials provided with the distribution. -// -// 3. Neither the name of the copyright holder nor the names of its contributors may be -// used to endorse or promote products derived from this software without specific -// prior written permission. -// -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY -// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF -// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL -// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, -// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, -// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF -// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -// -// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers -#include -#include - -#include "warnings.h" -#include "crypto-ops.h" - -DISABLE_VS_WARNINGS(4146 4244) -/* Predeclarations */ - -static void fe_mul(fe, const fe, const fe); -static void fe_sq(fe, const fe); -static void fe_tobytes(unsigned char *, const fe); -static int fe_isnonzero(const fe); -static void ge_madd(ge_p1p1 *, const ge_p3 *, const ge_precomp *); -static void ge_msub(ge_p1p1 *, const ge_p3 *, const ge_precomp *); -static void ge_p2_0(ge_p2 *); -static void ge_p3_dbl(ge_p1p1 *, const ge_p3 *); -static void ge_sub(ge_p1p1 *, const ge_p3 *, const ge_cached *); -static void fe_divpowm1(fe, const fe, const fe); -/* -fe means field element. -Here the field is \Z/(2^255-19). -An element t, entries t[0]...t[9], represents the integer -t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. -Bounds on each t[i] vary depending on context. -*/ - -/* -h = 0 -*/ - -void fe_0(fe h) -{ - h[0] = 0; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} - -/* -h = 1 -*/ - -void fe_1(fe h) -{ - h[0] = 1; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} - -/* -h = f + g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_add(fe h,const fe f,const fe g) -{ - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t h0 = f0 + g0; - int32_t h1 = f1 + g1; - int32_t h2 = f2 + g2; - int32_t h3 = f3 + g3; - int32_t h4 = f4 + g4; - int32_t h5 = f5 + g5; - int32_t h6 = f6 + g6; - int32_t h7 = f7 + g7; - int32_t h8 = f8 + g8; - int32_t h9 = f9 + g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* -Replace (f,g) with (g,g) if b == 1; -replace (f,g) with (f,g) if b == 0. - -Preconditions: b in {0,1}. -*/ - -void fe_cmov(fe f,const fe g,unsigned int b) -{ - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t x0 = f0 ^ g0; - int32_t x1 = f1 ^ g1; - int32_t x2 = f2 ^ g2; - int32_t x3 = f3 ^ g3; - int32_t x4 = f4 ^ g4; - int32_t x5 = f5 ^ g5; - int32_t x6 = f6 ^ g6; - int32_t x7 = f7 ^ g7; - int32_t x8 = f8 ^ g8; - int32_t x9 = f9 ^ g9; - b = -b; - x0 &= b; - x1 &= b; - x2 &= b; - x3 &= b; - x4 &= b; - x5 &= b; - x6 &= b; - x7 &= b; - x8 &= b; - x9 &= b; - f[0] = f0 ^ x0; - f[1] = f1 ^ x1; - f[2] = f2 ^ x2; - f[3] = f3 ^ x3; - f[4] = f4 ^ x4; - f[5] = f5 ^ x5; - f[6] = f6 ^ x6; - f[7] = f7 ^ x7; - f[8] = f8 ^ x8; - f[9] = f9 ^ x9; -} - -/* -h = f -*/ - -void fe_copy(fe h,const fe f) -{ - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - h[0] = f0; - h[1] = f1; - h[2] = f2; - h[3] = f3; - h[4] = f4; - h[5] = f5; - h[6] = f6; - h[7] = f7; - h[8] = f8; - h[9] = f9; -} - -static uint64_t load_3(const unsigned char *in) -{ - uint64_t result; - result = (uint64_t) in[0]; - result |= ((uint64_t) in[1]) << 8; - result |= ((uint64_t) in[2]) << 16; - return result; -} - -static uint64_t load_4(const unsigned char *in) -{ - uint64_t result; - result = (uint64_t) in[0]; - result |= ((uint64_t) in[1]) << 8; - result |= ((uint64_t) in[2]) << 16; - result |= ((uint64_t) in[3]) << 24; - return result; -} - -/* -Ignores top bit of h. -*/ - -void fe_frombytes(fe h,const unsigned char *s) -{ - int64_t h0 = load_4(s); - int64_t h1 = load_3(s + 4) << 6; - int64_t h2 = load_3(s + 7) << 5; - int64_t h3 = load_3(s + 10) << 3; - int64_t h4 = load_3(s + 13) << 2; - int64_t h5 = load_4(s + 16); - int64_t h6 = load_3(s + 20) << 7; - int64_t h7 = load_3(s + 23) << 5; - int64_t h8 = load_3(s + 26) << 4; - int64_t h9 = (load_3(s + 29) & 8388607) << 2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} -void fe_invert(fe out,const fe z) -{ - fe t0; - fe t1; - fe t2; - fe t3; - int i; -fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); -fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); -fe_mul(t1,z,t1); -fe_mul(t0,t0,t1); -fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); -fe_mul(t1,t1,t2); -fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); -fe_mul(t1,t2,t1); -fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); -fe_mul(t2,t2,t1); -fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); -fe_mul(t2,t3,t2); -fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); -fe_mul(t1,t2,t1); -fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); -fe_mul(t2,t2,t1); -fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); -fe_mul(t2,t3,t2); -fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); -fe_mul(t1,t2,t1); -fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); -fe_mul(out,t1,t0); - return; -} - -/* -return 1 if f is in {1,3,5,...,q-2} -return 0 if f is in {0,2,4,...,q-1} - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -int fe_isnegative(const fe f) -{ - unsigned char s[32]; - fe_tobytes(s,f); - return s[0] & 1; -} - -/* -h = f * g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -Notes on implementation strategy: - -Using schoolbook multiplication. -Karatsuba would save a little in some cost models. - -Most multiplications by 2 and 19 are 32-bit precomputations; -cheaper than 64-bit postcomputations. - -There is one remaining multiplication by 19 in the carry chain; -one *19 precomputation can be merged into this, -but the resulting data flow is considerably less clean. - -There are 12 carries below. -10 of them are 2-way parallelizable and vectorizable. -Can get away with 11 carries, but then data flow is much deeper. - -With tighter constraints on inputs can squeeze carries into int32. -*/ - -void fe_mul(fe h,const fe f,const fe g) -{ - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t g1_19 = 19 * g1; /* 1.959375*2^29 */ - int32_t g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ - int32_t g3_19 = 19 * g3; - int32_t g4_19 = 19 * g4; - int32_t g5_19 = 19 * g5; - int32_t g6_19 = 19 * g6; - int32_t g7_19 = 19 * g7; - int32_t g8_19 = 19 * g8; - int32_t g9_19 = 19 * g9; - int32_t f1_2 = 2 * f1; - int32_t f3_2 = 2 * f3; - int32_t f5_2 = 2 * f5; - int32_t f7_2 = 2 * f7; - int32_t f9_2 = 2 * f9; - int64_t f0g0 = f0 * (int64_t) g0; - int64_t f0g1 = f0 * (int64_t) g1; - int64_t f0g2 = f0 * (int64_t) g2; - int64_t f0g3 = f0 * (int64_t) g3; - int64_t f0g4 = f0 * (int64_t) g4; - int64_t f0g5 = f0 * (int64_t) g5; - int64_t f0g6 = f0 * (int64_t) g6; - int64_t f0g7 = f0 * (int64_t) g7; - int64_t f0g8 = f0 * (int64_t) g8; - int64_t f0g9 = f0 * (int64_t) g9; - int64_t f1g0 = f1 * (int64_t) g0; - int64_t f1g1_2 = f1_2 * (int64_t) g1; - int64_t f1g2 = f1 * (int64_t) g2; - int64_t f1g3_2 = f1_2 * (int64_t) g3; - int64_t f1g4 = f1 * (int64_t) g4; - int64_t f1g5_2 = f1_2 * (int64_t) g5; - int64_t f1g6 = f1 * (int64_t) g6; - int64_t f1g7_2 = f1_2 * (int64_t) g7; - int64_t f1g8 = f1 * (int64_t) g8; - int64_t f1g9_38 = f1_2 * (int64_t) g9_19; - int64_t f2g0 = f2 * (int64_t) g0; - int64_t f2g1 = f2 * (int64_t) g1; - int64_t f2g2 = f2 * (int64_t) g2; - int64_t f2g3 = f2 * (int64_t) g3; - int64_t f2g4 = f2 * (int64_t) g4; - int64_t f2g5 = f2 * (int64_t) g5; - int64_t f2g6 = f2 * (int64_t) g6; - int64_t f2g7 = f2 * (int64_t) g7; - int64_t f2g8_19 = f2 * (int64_t) g8_19; - int64_t f2g9_19 = f2 * (int64_t) g9_19; - int64_t f3g0 = f3 * (int64_t) g0; - int64_t f3g1_2 = f3_2 * (int64_t) g1; - int64_t f3g2 = f3 * (int64_t) g2; - int64_t f3g3_2 = f3_2 * (int64_t) g3; - int64_t f3g4 = f3 * (int64_t) g4; - int64_t f3g5_2 = f3_2 * (int64_t) g5; - int64_t f3g6 = f3 * (int64_t) g6; - int64_t f3g7_38 = f3_2 * (int64_t) g7_19; - int64_t f3g8_19 = f3 * (int64_t) g8_19; - int64_t f3g9_38 = f3_2 * (int64_t) g9_19; - int64_t f4g0 = f4 * (int64_t) g0; - int64_t f4g1 = f4 * (int64_t) g1; - int64_t f4g2 = f4 * (int64_t) g2; - int64_t f4g3 = f4 * (int64_t) g3; - int64_t f4g4 = f4 * (int64_t) g4; - int64_t f4g5 = f4 * (int64_t) g5; - int64_t f4g6_19 = f4 * (int64_t) g6_19; - int64_t f4g7_19 = f4 * (int64_t) g7_19; - int64_t f4g8_19 = f4 * (int64_t) g8_19; - int64_t f4g9_19 = f4 * (int64_t) g9_19; - int64_t f5g0 = f5 * (int64_t) g0; - int64_t f5g1_2 = f5_2 * (int64_t) g1; - int64_t f5g2 = f5 * (int64_t) g2; - int64_t f5g3_2 = f5_2 * (int64_t) g3; - int64_t f5g4 = f5 * (int64_t) g4; - int64_t f5g5_38 = f5_2 * (int64_t) g5_19; - int64_t f5g6_19 = f5 * (int64_t) g6_19; - int64_t f5g7_38 = f5_2 * (int64_t) g7_19; - int64_t f5g8_19 = f5 * (int64_t) g8_19; - int64_t f5g9_38 = f5_2 * (int64_t) g9_19; - int64_t f6g0 = f6 * (int64_t) g0; - int64_t f6g1 = f6 * (int64_t) g1; - int64_t f6g2 = f6 * (int64_t) g2; - int64_t f6g3 = f6 * (int64_t) g3; - int64_t f6g4_19 = f6 * (int64_t) g4_19; - int64_t f6g5_19 = f6 * (int64_t) g5_19; - int64_t f6g6_19 = f6 * (int64_t) g6_19; - int64_t f6g7_19 = f6 * (int64_t) g7_19; - int64_t f6g8_19 = f6 * (int64_t) g8_19; - int64_t f6g9_19 = f6 * (int64_t) g9_19; - int64_t f7g0 = f7 * (int64_t) g0; - int64_t f7g1_2 = f7_2 * (int64_t) g1; - int64_t f7g2 = f7 * (int64_t) g2; - int64_t f7g3_38 = f7_2 * (int64_t) g3_19; - int64_t f7g4_19 = f7 * (int64_t) g4_19; - int64_t f7g5_38 = f7_2 * (int64_t) g5_19; - int64_t f7g6_19 = f7 * (int64_t) g6_19; - int64_t f7g7_38 = f7_2 * (int64_t) g7_19; - int64_t f7g8_19 = f7 * (int64_t) g8_19; - int64_t f7g9_38 = f7_2 * (int64_t) g9_19; - int64_t f8g0 = f8 * (int64_t) g0; - int64_t f8g1 = f8 * (int64_t) g1; - int64_t f8g2_19 = f8 * (int64_t) g2_19; - int64_t f8g3_19 = f8 * (int64_t) g3_19; - int64_t f8g4_19 = f8 * (int64_t) g4_19; - int64_t f8g5_19 = f8 * (int64_t) g5_19; - int64_t f8g6_19 = f8 * (int64_t) g6_19; - int64_t f8g7_19 = f8 * (int64_t) g7_19; - int64_t f8g8_19 = f8 * (int64_t) g8_19; - int64_t f8g9_19 = f8 * (int64_t) g9_19; - int64_t f9g0 = f9 * (int64_t) g0; - int64_t f9g1_38 = f9_2 * (int64_t) g1_19; - int64_t f9g2_19 = f9 * (int64_t) g2_19; - int64_t f9g3_38 = f9_2 * (int64_t) g3_19; - int64_t f9g4_19 = f9 * (int64_t) g4_19; - int64_t f9g5_38 = f9_2 * (int64_t) g5_19; - int64_t f9g6_19 = f9 * (int64_t) g6_19; - int64_t f9g7_38 = f9_2 * (int64_t) g7_19; - int64_t f9g8_19 = f9 * (int64_t) g8_19; - int64_t f9g9_38 = f9_2 * (int64_t) g9_19; - int64_t h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; - int64_t h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; - int64_t h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; - int64_t h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; - int64_t h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; - int64_t h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; - int64_t h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; - int64_t h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; - int64_t h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; - int64_t h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - /* - |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) - i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 - |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) - i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 - */ - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - /* |h0| <= 2^25 */ - /* |h4| <= 2^25 */ - /* |h1| <= 1.71*2^59 */ - /* |h5| <= 1.71*2^59 */ - - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - /* |h1| <= 2^24; from now on fits into int32 */ - /* |h5| <= 2^24; from now on fits into int32 */ - /* |h2| <= 1.41*2^60 */ - /* |h6| <= 1.41*2^60 */ - - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - /* |h2| <= 2^25; from now on fits into int32 unchanged */ - /* |h6| <= 2^25; from now on fits into int32 unchanged */ - /* |h3| <= 1.71*2^59 */ - /* |h7| <= 1.71*2^59 */ - - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - /* |h3| <= 2^24; from now on fits into int32 unchanged */ - /* |h7| <= 2^24; from now on fits into int32 unchanged */ - /* |h4| <= 1.72*2^34 */ - /* |h8| <= 1.41*2^60 */ - - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - /* |h4| <= 2^25; from now on fits into int32 unchanged */ - /* |h8| <= 2^25; from now on fits into int32 unchanged */ - /* |h5| <= 1.01*2^24 */ - /* |h9| <= 1.71*2^59 */ - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - /* |h9| <= 2^24; from now on fits into int32 unchanged */ - /* |h0| <= 1.1*2^39 */ - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - /* |h0| <= 2^25; from now on fits into int32 unchanged */ - /* |h1| <= 1.01*2^24 */ - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* -h = -f - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. -*/ - -void fe_neg(fe h,const fe f) -{ - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t h0 = -f0; - int32_t h1 = -f1; - int32_t h2 = -f2; - int32_t h3 = -f3; - int32_t h4 = -f4; - int32_t h5 = -f5; - int32_t h6 = -f6; - int32_t h7 = -f7; - int32_t h8 = -f8; - int32_t h9 = -f9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} -void fe_pow22523(fe out,const fe z) -{ - fe t0; - fe t1; - fe t2; - int i; -fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); -fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); -fe_mul(t1,z,t1); -fe_mul(t0,t0,t1); -fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); -fe_mul(t0,t1,t0); -fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); -fe_mul(t0,t1,t0); -fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); -fe_mul(t1,t1,t0); -fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); -fe_mul(t1,t2,t1); -fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); -fe_mul(t0,t1,t0); -fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); -fe_mul(t1,t1,t0); -fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); -fe_mul(t1,t2,t1); -fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); -fe_mul(t0,t1,t0); -fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); -fe_mul(out,t0,z); - return; -} - -/* -h = f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq(fe h,const fe f) -{ - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t f0_2 = 2 * f0; - int32_t f1_2 = 2 * f1; - int32_t f2_2 = 2 * f2; - int32_t f3_2 = 2 * f3; - int32_t f4_2 = 2 * f4; - int32_t f5_2 = 2 * f5; - int32_t f6_2 = 2 * f6; - int32_t f7_2 = 2 * f7; - int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ - int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ - int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ - int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ - int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ - int64_t f0f0 = f0 * (int64_t) f0; - int64_t f0f1_2 = f0_2 * (int64_t) f1; - int64_t f0f2_2 = f0_2 * (int64_t) f2; - int64_t f0f3_2 = f0_2 * (int64_t) f3; - int64_t f0f4_2 = f0_2 * (int64_t) f4; - int64_t f0f5_2 = f0_2 * (int64_t) f5; - int64_t f0f6_2 = f0_2 * (int64_t) f6; - int64_t f0f7_2 = f0_2 * (int64_t) f7; - int64_t f0f8_2 = f0_2 * (int64_t) f8; - int64_t f0f9_2 = f0_2 * (int64_t) f9; - int64_t f1f1_2 = f1_2 * (int64_t) f1; - int64_t f1f2_2 = f1_2 * (int64_t) f2; - int64_t f1f3_4 = f1_2 * (int64_t) f3_2; - int64_t f1f4_2 = f1_2 * (int64_t) f4; - int64_t f1f5_4 = f1_2 * (int64_t) f5_2; - int64_t f1f6_2 = f1_2 * (int64_t) f6; - int64_t f1f7_4 = f1_2 * (int64_t) f7_2; - int64_t f1f8_2 = f1_2 * (int64_t) f8; - int64_t f1f9_76 = f1_2 * (int64_t) f9_38; - int64_t f2f2 = f2 * (int64_t) f2; - int64_t f2f3_2 = f2_2 * (int64_t) f3; - int64_t f2f4_2 = f2_2 * (int64_t) f4; - int64_t f2f5_2 = f2_2 * (int64_t) f5; - int64_t f2f6_2 = f2_2 * (int64_t) f6; - int64_t f2f7_2 = f2_2 * (int64_t) f7; - int64_t f2f8_38 = f2_2 * (int64_t) f8_19; - int64_t f2f9_38 = f2 * (int64_t) f9_38; - int64_t f3f3_2 = f3_2 * (int64_t) f3; - int64_t f3f4_2 = f3_2 * (int64_t) f4; - int64_t f3f5_4 = f3_2 * (int64_t) f5_2; - int64_t f3f6_2 = f3_2 * (int64_t) f6; - int64_t f3f7_76 = f3_2 * (int64_t) f7_38; - int64_t f3f8_38 = f3_2 * (int64_t) f8_19; - int64_t f3f9_76 = f3_2 * (int64_t) f9_38; - int64_t f4f4 = f4 * (int64_t) f4; - int64_t f4f5_2 = f4_2 * (int64_t) f5; - int64_t f4f6_38 = f4_2 * (int64_t) f6_19; - int64_t f4f7_38 = f4 * (int64_t) f7_38; - int64_t f4f8_38 = f4_2 * (int64_t) f8_19; - int64_t f4f9_38 = f4 * (int64_t) f9_38; - int64_t f5f5_38 = f5 * (int64_t) f5_38; - int64_t f5f6_38 = f5_2 * (int64_t) f6_19; - int64_t f5f7_76 = f5_2 * (int64_t) f7_38; - int64_t f5f8_38 = f5_2 * (int64_t) f8_19; - int64_t f5f9_76 = f5_2 * (int64_t) f9_38; - int64_t f6f6_19 = f6 * (int64_t) f6_19; - int64_t f6f7_38 = f6 * (int64_t) f7_38; - int64_t f6f8_38 = f6_2 * (int64_t) f8_19; - int64_t f6f9_38 = f6 * (int64_t) f9_38; - int64_t f7f7_38 = f7 * (int64_t) f7_38; - int64_t f7f8_38 = f7_2 * (int64_t) f8_19; - int64_t f7f9_76 = f7_2 * (int64_t) f9_38; - int64_t f8f8_19 = f8 * (int64_t) f8_19; - int64_t f8f9_38 = f8 * (int64_t) f9_38; - int64_t f9f9_38 = f9 * (int64_t) f9_38; - int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* -h = 2 * f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq2(fe h,const fe f) -{ - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t f0_2 = 2 * f0; - int32_t f1_2 = 2 * f1; - int32_t f2_2 = 2 * f2; - int32_t f3_2 = 2 * f3; - int32_t f4_2 = 2 * f4; - int32_t f5_2 = 2 * f5; - int32_t f6_2 = 2 * f6; - int32_t f7_2 = 2 * f7; - int32_t f5_38 = 38 * f5; /* 1.959375*2^30 */ - int32_t f6_19 = 19 * f6; /* 1.959375*2^30 */ - int32_t f7_38 = 38 * f7; /* 1.959375*2^30 */ - int32_t f8_19 = 19 * f8; /* 1.959375*2^30 */ - int32_t f9_38 = 38 * f9; /* 1.959375*2^30 */ - int64_t f0f0 = f0 * (int64_t) f0; - int64_t f0f1_2 = f0_2 * (int64_t) f1; - int64_t f0f2_2 = f0_2 * (int64_t) f2; - int64_t f0f3_2 = f0_2 * (int64_t) f3; - int64_t f0f4_2 = f0_2 * (int64_t) f4; - int64_t f0f5_2 = f0_2 * (int64_t) f5; - int64_t f0f6_2 = f0_2 * (int64_t) f6; - int64_t f0f7_2 = f0_2 * (int64_t) f7; - int64_t f0f8_2 = f0_2 * (int64_t) f8; - int64_t f0f9_2 = f0_2 * (int64_t) f9; - int64_t f1f1_2 = f1_2 * (int64_t) f1; - int64_t f1f2_2 = f1_2 * (int64_t) f2; - int64_t f1f3_4 = f1_2 * (int64_t) f3_2; - int64_t f1f4_2 = f1_2 * (int64_t) f4; - int64_t f1f5_4 = f1_2 * (int64_t) f5_2; - int64_t f1f6_2 = f1_2 * (int64_t) f6; - int64_t f1f7_4 = f1_2 * (int64_t) f7_2; - int64_t f1f8_2 = f1_2 * (int64_t) f8; - int64_t f1f9_76 = f1_2 * (int64_t) f9_38; - int64_t f2f2 = f2 * (int64_t) f2; - int64_t f2f3_2 = f2_2 * (int64_t) f3; - int64_t f2f4_2 = f2_2 * (int64_t) f4; - int64_t f2f5_2 = f2_2 * (int64_t) f5; - int64_t f2f6_2 = f2_2 * (int64_t) f6; - int64_t f2f7_2 = f2_2 * (int64_t) f7; - int64_t f2f8_38 = f2_2 * (int64_t) f8_19; - int64_t f2f9_38 = f2 * (int64_t) f9_38; - int64_t f3f3_2 = f3_2 * (int64_t) f3; - int64_t f3f4_2 = f3_2 * (int64_t) f4; - int64_t f3f5_4 = f3_2 * (int64_t) f5_2; - int64_t f3f6_2 = f3_2 * (int64_t) f6; - int64_t f3f7_76 = f3_2 * (int64_t) f7_38; - int64_t f3f8_38 = f3_2 * (int64_t) f8_19; - int64_t f3f9_76 = f3_2 * (int64_t) f9_38; - int64_t f4f4 = f4 * (int64_t) f4; - int64_t f4f5_2 = f4_2 * (int64_t) f5; - int64_t f4f6_38 = f4_2 * (int64_t) f6_19; - int64_t f4f7_38 = f4 * (int64_t) f7_38; - int64_t f4f8_38 = f4_2 * (int64_t) f8_19; - int64_t f4f9_38 = f4 * (int64_t) f9_38; - int64_t f5f5_38 = f5 * (int64_t) f5_38; - int64_t f5f6_38 = f5_2 * (int64_t) f6_19; - int64_t f5f7_76 = f5_2 * (int64_t) f7_38; - int64_t f5f8_38 = f5_2 * (int64_t) f8_19; - int64_t f5f9_76 = f5_2 * (int64_t) f9_38; - int64_t f6f6_19 = f6 * (int64_t) f6_19; - int64_t f6f7_38 = f6 * (int64_t) f7_38; - int64_t f6f8_38 = f6_2 * (int64_t) f8_19; - int64_t f6f9_38 = f6 * (int64_t) f9_38; - int64_t f7f7_38 = f7 * (int64_t) f7_38; - int64_t f7f8_38 = f7_2 * (int64_t) f8_19; - int64_t f7f9_76 = f7_2 * (int64_t) f9_38; - int64_t f8f8_19 = f8 * (int64_t) f8_19; - int64_t f8f9_38 = f8 * (int64_t) f9_38; - int64_t f9f9_38 = f9 * (int64_t) f9_38; - int64_t h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - int64_t h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - int64_t h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - int64_t h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - int64_t h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - int64_t h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - int64_t h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - int64_t h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - int64_t h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - int64_t h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - h0 += h0; - h1 += h1; - h2 += h2; - h3 += h3; - h4 += h4; - h5 += h5; - h6 += h6; - h7 += h7; - h8 += h8; - h9 += h9; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* -h = f - g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_sub(fe h,const fe f,const fe g) -{ - int32_t f0 = f[0]; - int32_t f1 = f[1]; - int32_t f2 = f[2]; - int32_t f3 = f[3]; - int32_t f4 = f[4]; - int32_t f5 = f[5]; - int32_t f6 = f[6]; - int32_t f7 = f[7]; - int32_t f8 = f[8]; - int32_t f9 = f[9]; - int32_t g0 = g[0]; - int32_t g1 = g[1]; - int32_t g2 = g[2]; - int32_t g3 = g[3]; - int32_t g4 = g[4]; - int32_t g5 = g[5]; - int32_t g6 = g[6]; - int32_t g7 = g[7]; - int32_t g8 = g[8]; - int32_t g9 = g[9]; - int32_t h0 = f0 - g0; - int32_t h1 = f1 - g1; - int32_t h2 = f2 - g2; - int32_t h3 = f3 - g3; - int32_t h4 = f4 - g4; - int32_t h5 = f5 - g5; - int32_t h6 = f6 - g6; - int32_t h7 = f7 - g7; - int32_t h8 = f8 - g8; - int32_t h9 = f9 - g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} - -/* -Preconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. - -Write p=2^255-19; q=floor(h/p). -Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). - -Proof: - Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. - Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. - - Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). - Then 0> 25; - q = (h0 + q) >> 26; - q = (h1 + q) >> 25; - q = (h2 + q) >> 26; - q = (h3 + q) >> 25; - q = (h4 + q) >> 26; - q = (h5 + q) >> 25; - q = (h6 + q) >> 26; - q = (h7 + q) >> 25; - q = (h8 + q) >> 26; - q = (h9 + q) >> 25; - - /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ - h0 += 19 * q; - /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ - - carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26; - carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; - carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; - carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; - carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; - carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; - carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; - carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; - carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; - carry9 = h9 >> 25; h9 -= carry9 << 25; - /* h10 = carry9 */ - - /* - Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. - Have h0+...+2^230 h9 between 0 and 2^255-1; - evidently 2^255 h10-2^255 q = 0. - Goal: Output h0+...+2^230 h9. - */ - - s[0] = h0 >> 0; - s[1] = h0 >> 8; - s[2] = h0 >> 16; - s[3] = (h0 >> 24) | (h1 << 2); - s[4] = h1 >> 6; - s[5] = h1 >> 14; - s[6] = (h1 >> 22) | (h2 << 3); - s[7] = h2 >> 5; - s[8] = h2 >> 13; - s[9] = (h2 >> 21) | (h3 << 5); - s[10] = h3 >> 3; - s[11] = h3 >> 11; - s[12] = (h3 >> 19) | (h4 << 6); - s[13] = h4 >> 2; - s[14] = h4 >> 10; - s[15] = h4 >> 18; - s[16] = h5 >> 0; - s[17] = h5 >> 8; - s[18] = h5 >> 16; - s[19] = (h5 >> 24) | (h6 << 1); - s[20] = h6 >> 7; - s[21] = h6 >> 15; - s[22] = (h6 >> 23) | (h7 << 3); - s[23] = h7 >> 5; - s[24] = h7 >> 13; - s[25] = (h7 >> 21) | (h8 << 4); - s[26] = h8 >> 4; - s[27] = h8 >> 12; - s[28] = (h8 >> 20) | (h9 << 6); - s[29] = h9 >> 2; - s[30] = h9 >> 10; - s[31] = h9 >> 18; -} -/* - * - * sc code - * - * -The set of scalars is \Z/l -where l = 2^252 + 27742317777372353535851937790883648493. - -This is the order of the curve ed25519. -The point is that if a is a scalar and P is a point, -and b is congruent to a mod l, then aP = bP. -Thus, reducing mod l can possibly give you a smaller scalar, -so your elliptic curve operations take less time -*/ - -/* -Input: - a[0]+256*a[1]+...+256^31*a[31] = a - b[0]+256*b[1]+...+256^31*b[31] = b - c[0]+256*c[1]+...+256^31*c[31] = c - -Output: - s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l - where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c) -{ - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t c0 = 2097151 & load_3(c); - int64_t c1 = 2097151 & (load_4(c + 2) >> 5); - int64_t c2 = 2097151 & (load_3(c + 5) >> 2); - int64_t c3 = 2097151 & (load_4(c + 7) >> 7); - int64_t c4 = 2097151 & (load_4(c + 10) >> 4); - int64_t c5 = 2097151 & (load_3(c + 13) >> 1); - int64_t c6 = 2097151 & (load_4(c + 15) >> 6); - int64_t c7 = 2097151 & (load_3(c + 18) >> 3); - int64_t c8 = 2097151 & load_3(c + 21); - int64_t c9 = 2097151 & (load_4(c + 23) >> 5); - int64_t c10 = 2097151 & (load_3(c + 26) >> 2); - int64_t c11 = (load_4(c + 28) >> 7); - int64_t s0; - int64_t s1; - int64_t s2; - int64_t s3; - int64_t s4; - int64_t s5; - int64_t s6; - int64_t s7; - int64_t s8; - int64_t s9; - int64_t s10; - int64_t s11; - int64_t s12; - int64_t s13; - int64_t s14; - int64_t s15; - int64_t s16; - int64_t s17; - int64_t s18; - int64_t s19; - int64_t s20; - int64_t s21; - int64_t s22; - int64_t s23; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - int64_t carry12; - int64_t carry13; - int64_t carry14; - int64_t carry15; - int64_t carry16; - int64_t carry17; - int64_t carry18; - int64_t carry19; - int64_t carry20; - int64_t carry21; - int64_t carry22; - - s0 = c0 + a0*b0; - s1 = c1 + a0*b1 + a1*b0; - s2 = c2 + a0*b2 + a1*b1 + a2*b0; - s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0; - s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0; - s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0; - s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0; - s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0; - s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0; - s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0; - s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0; - s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0; - s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1; - s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2; - s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3; - s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4; - s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5; - s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6; - s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7; - s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8; - s20 = a9*b11 + a10*b10 + a11*b9; - s21 = a10*b11 + a11*b10; - s22 = a11*b11; - s23 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; - carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; - carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; - carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; - carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -/* -Input: - s[0]+256*s[1]+...+256^63*s[63] = s - -Output: - s[0]+256*s[1]+...+256^31*s[31] = s mod l - where l = 2^252 + 27742317777372353535851937790883648493. - Overwrites s in place. -*/ - -void sc_reduce(unsigned char *s) -{ - int64_t s0 = 2097151 & load_3(s); - int64_t s1 = 2097151 & (load_4(s + 2) >> 5); - int64_t s2 = 2097151 & (load_3(s + 5) >> 2); - int64_t s3 = 2097151 & (load_4(s + 7) >> 7); - int64_t s4 = 2097151 & (load_4(s + 10) >> 4); - int64_t s5 = 2097151 & (load_3(s + 13) >> 1); - int64_t s6 = 2097151 & (load_4(s + 15) >> 6); - int64_t s7 = 2097151 & (load_3(s + 18) >> 3); - int64_t s8 = 2097151 & load_3(s + 21); - int64_t s9 = 2097151 & (load_4(s + 23) >> 5); - int64_t s10 = 2097151 & (load_3(s + 26) >> 2); - int64_t s11 = 2097151 & (load_4(s + 28) >> 7); - int64_t s12 = 2097151 & (load_4(s + 31) >> 4); - int64_t s13 = 2097151 & (load_3(s + 34) >> 1); - int64_t s14 = 2097151 & (load_4(s + 36) >> 6); - int64_t s15 = 2097151 & (load_3(s + 39) >> 3); - int64_t s16 = 2097151 & load_3(s + 42); - int64_t s17 = 2097151 & (load_4(s + 44) >> 5); - int64_t s18 = 2097151 & (load_3(s + 47) >> 2); - int64_t s19 = 2097151 & (load_4(s + 49) >> 7); - int64_t s20 = 2097151 & (load_4(s + 52) >> 4); - int64_t s21 = 2097151 & (load_3(s + 55) >> 1); - int64_t s22 = 2097151 & (load_4(s + 57) >> 6); - int64_t s23 = (load_4(s + 60) >> 3); - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - int64_t carry12; - int64_t carry13; - int64_t carry14; - int64_t carry15; - int64_t carry16; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -void sc_sub(unsigned char *s, const unsigned char *a, const unsigned char *b) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t s0 = a0 - b0; - int64_t s1 = a1 - b1; - int64_t s2 = a2 - b2; - int64_t s3 = a3 - b3; - int64_t s4 = a4 - b4; - int64_t s5 = a5 - b5; - int64_t s6 = a6 - b6; - int64_t s7 = a7 - b7; - int64_t s8 = a8 - b8; - int64_t s9 = a9 - b9; - int64_t s10 = a10 - b10; - int64_t s11 = a11 - b11; - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -/* -Input: - a[0]+256*a[1]+...+256^31*a[31] = a - b[0]+256*b[1]+...+256^31*b[31] = b - c[0]+256*c[1]+...+256^31*c[31] = c - -Output: - s[0]+256*s[1]+...+256^31*s[31] = (c-ab) mod l - where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -//x -void sc_mulsub(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t c0 = 2097151 & load_3(c); - int64_t c1 = 2097151 & (load_4(c + 2) >> 5); - int64_t c2 = 2097151 & (load_3(c + 5) >> 2); - int64_t c3 = 2097151 & (load_4(c + 7) >> 7); - int64_t c4 = 2097151 & (load_4(c + 10) >> 4); - int64_t c5 = 2097151 & (load_3(c + 13) >> 1); - int64_t c6 = 2097151 & (load_4(c + 15) >> 6); - int64_t c7 = 2097151 & (load_3(c + 18) >> 3); - int64_t c8 = 2097151 & load_3(c + 21); - int64_t c9 = 2097151 & (load_4(c + 23) >> 5); - int64_t c10 = 2097151 & (load_3(c + 26) >> 2); - int64_t c11 = (load_4(c + 28) >> 7); - int64_t s0; - int64_t s1; - int64_t s2; - int64_t s3; - int64_t s4; - int64_t s5; - int64_t s6; - int64_t s7; - int64_t s8; - int64_t s9; - int64_t s10; - int64_t s11; - int64_t s12; - int64_t s13; - int64_t s14; - int64_t s15; - int64_t s16; - int64_t s17; - int64_t s18; - int64_t s19; - int64_t s20; - int64_t s21; - int64_t s22; - int64_t s23; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - int64_t carry12; - int64_t carry13; - int64_t carry14; - int64_t carry15; - int64_t carry16; - int64_t carry17; - int64_t carry18; - int64_t carry19; - int64_t carry20; - int64_t carry21; - int64_t carry22; - - s0 = c0 - a0*b0; - s1 = c1 - (a0*b1 + a1*b0); - s2 = c2 - (a0*b2 + a1*b1 + a2*b0); - s3 = c3 - (a0*b3 + a1*b2 + a2*b1 + a3*b0); - s4 = c4 - (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0); - s5 = c5 - (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0); - s6 = c6 - (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0); - s7 = c7 - (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0); - s8 = c8 - (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0); - s9 = c9 - (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0); - s10 = c10 - (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0); - s11 = c11 - (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0); - s12 = -(a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1); - s13 = -(a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2); - s14 = -(a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3); - s15 = -(a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4); - s16 = -(a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5); - s17 = -(a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6); - s18 = -(a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7); - s19 = -(a8*b11 + a9*b10 + a10*b9 + a11*b8); - s20 = -(a9*b11 + a10*b10 + a11*b9); - s21 = -(a10*b11 + a11*b10); - s22 = -a11*b11; - s23 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; - carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; - carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; - carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; - carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - - -/* - * - * ge code - * - * -ge means group element. - -Here the group is the set of pairs (x,y) of field elements (see fe.h) -satisfying -x^2 + y^2 = 1 + d x^2y^2 -where d = -121665/121666. - -Representations: - ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z - ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT - ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T - ge_precomp (Duif): (y+x,y-x,2dxy) -*/ -/* -r = p + q -*/ -void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; -fe_add(r->X,p->Y,p->X); -fe_sub(r->Y,p->Y,p->X); -fe_mul(r->Z,r->X,q->YplusX); -fe_mul(r->Y,r->Y,q->YminusX); -fe_mul(r->T,q->T2d,p->T); -fe_mul(r->X,p->Z,q->Z); -fe_add(t0,r->X,r->X); -fe_sub(r->X,r->Z,r->Y); -fe_add(r->Y,r->Z,r->Y); -fe_add(r->Z,t0,r->T); -fe_sub(r->T,t0,r->T); -} -static void slide(signed char *r,const unsigned char *a) -{ - int i; - int b; - int k; - for (i = 0;i < 256;++i) - r[i] = 1 & (a[i >> 3] >> (i & 7)); - for (i = 0;i < 256;++i) - if (r[i]) { - for (b = 1;b <= 6 && i + b < 256;++b) { - if (r[i + b]) { - if (r[i] + (r[i + b] << b) <= 15) { - r[i] += r[i + b] << b; r[i + b] = 0; - } else if (r[i] - (r[i + b] << b) >= -15) { - r[i] -= r[i + b] << b; - for (k = i + b;k < 256;++k) { - if (!r[k]) { - r[k] = 1; - break; - } - r[k] = 0; - } - } else - break; - } - } - } -} -static ge_precomp Bi[8] = { - { - { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, - { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, - { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, - }, - { - { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, - { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, - { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, - }, - { - { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, - { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, - { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, - }, - { - { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, - { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, - { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, - }, - { - { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 }, - { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 }, - { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 }, - }, - { - { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 }, - { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 }, - { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 }, - }, - { - { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 }, - { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 }, - { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 }, - }, - { - { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 }, - { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 }, - { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 }, - }, -} ; -/* -r = a * A + b * B -where a = a[0]+256*a[1]+...+256^31 a[31]. -and b = b[0]+256*b[1]+...+256^31 b[31]. -B is the Ed25519 base point (x,4/5) with x positive. -*/ -void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b) -{ - signed char aslide[256]; - signed char bslide[256]; - ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ - ge_p1p1 t; - ge_p3 u; - ge_p3 A2; - int i; - slide(aslide,a); - slide(bslide,b); - ge_p3_to_cached(&Ai[0],A); - ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); - ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); - ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); - ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); - ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); - ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); - ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); - ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); - ge_p2_0(r); - for (i = 255;i >= 0;--i) { - if (aslide[i] || bslide[i]) break; - } - for (;i >= 0;--i) { - ge_p2_dbl(&t,r); - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u,&t); - ge_add(&t,&u,&Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u,&t); - ge_sub(&t,&u,&Ai[(-aslide[i])/2]); - } - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u,&t); - ge_madd(&t,&u,&Bi[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u,&t); - ge_msub(&t,&u,&Bi[(-bslide[i])/2]); - } - ge_p1p1_to_p2(r,&t); - } -} -static const fe d = { --10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116 -} ; -static const fe sqrtm1 = { --32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482 -} ; -int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) -{ - fe u; - fe v; - fe v3; - fe vxx; - fe check; - fe_frombytes(h->Y,s); - fe_1(h->Z); - fe_sq(u,h->Y); - fe_mul(v,u,d); - fe_sub(u,u,h->Z); /* u = y^2-1 */ - fe_add(v,v,h->Z); /* v = dy^2+1 */ - fe_sq(v3,v); - fe_mul(v3,v3,v); /* v3 = v^3 */ - fe_sq(h->X,v3); - fe_mul(h->X,h->X,v); - fe_mul(h->X,h->X,u); /* x = uv^7 */ - fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ - fe_mul(h->X,h->X,v3); - fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ - fe_sq(vxx,h->X); - fe_mul(vxx,vxx,v); - fe_sub(check,vxx,u); /* vx^2-u */ - if (fe_isnonzero(check)) { - fe_add(check,vxx,u); /* vx^2+u */ - if (fe_isnonzero(check)) return -1; - fe_mul(h->X,h->X,sqrtm1); - } - if (fe_isnegative(h->X) == (s[31] >> 7)) - fe_neg(h->X,h->X); - fe_mul(h->T,h->X,h->Y); - return 0; -} -/* -r = p + q -*/ -void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) -{ - fe t0; -fe_add(r->X,p->Y,p->X); -fe_sub(r->Y,p->Y,p->X); -fe_mul(r->Z,r->X,q->yplusx); -fe_mul(r->Y,r->Y,q->yminusx); -fe_mul(r->T,q->xy2d,p->T); -fe_add(t0,p->Z,p->Z); -fe_sub(r->X,r->Z,r->Y); -fe_add(r->Y,r->Z,r->Y); -fe_add(r->Z,t0,r->T); -fe_sub(r->T,t0,r->T); -} -/* -r = p - q -*/ -void ge_msub(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) -{ - fe t0; -fe_add(r->X,p->Y,p->X); -fe_sub(r->Y,p->Y,p->X); -fe_mul(r->Z,r->X,q->yminusx); -fe_mul(r->Y,r->Y,q->yplusx); -fe_mul(r->T,q->xy2d,p->T); -fe_add(t0,p->Z,p->Z); -fe_sub(r->X,r->Z,r->Y); -fe_add(r->Y,r->Z,r->Y); -fe_sub(r->Z,t0,r->T); -fe_add(r->T,t0,r->T); -} - -/* -r = p -*/ - -extern void ge_p1p1_to_p2(ge_p2 *r,const ge_p1p1 *p) -{ - fe_mul(r->X,p->X,p->T); - fe_mul(r->Y,p->Y,p->Z); - fe_mul(r->Z,p->Z,p->T); -} - -/* -r = p -*/ - -extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p) -{ - fe_mul(r->X,p->X,p->T); - fe_mul(r->Y,p->Y,p->Z); - fe_mul(r->Z,p->Z,p->T); - fe_mul(r->T,p->X,p->Y); -} - -void ge_p2_0(ge_p2 *h) -{ - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); -} -/* -r = 2 * p -*/ -void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) -{ - fe t0; -fe_sq(r->X,p->X); -fe_sq(r->Z,p->Y); -fe_sq2(r->T,p->Z); -fe_add(r->Y,p->X,p->Y); -fe_sq(t0,r->Y); -fe_add(r->Y,r->Z,r->X); -fe_sub(r->Z,r->Z,r->X); -fe_sub(r->X,t0,r->Y); -fe_sub(r->T,r->T,r->Z); -} - -void ge_p3_0(ge_p3 *h) -{ - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); - fe_0(h->T); -} - -/* -r = 2 * p -*/ - -void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p) -{ - ge_p2 q; - ge_p3_to_p2(&q,p); - ge_p2_dbl(r,&q); -} -/* -r = p -*/ -static const fe d2 = { --21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 -} ; -extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p) -{ - fe_add(r->YplusX,p->Y,p->X); - fe_sub(r->YminusX,p->Y,p->X); - fe_copy(r->Z,p->Z); - fe_mul(r->T2d,p->T,d2); -} - -/* -r = p -*/ - -extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p) -{ - fe_copy(r->X,p->X); - fe_copy(r->Y,p->Y); - fe_copy(r->Z,p->Z); -} - -void ge_p3_tobytes(unsigned char *s,const ge_p3 *h) -{ - fe recip; - fe x; - fe y; - - fe_invert(recip,h->Z); - fe_mul(x,h->X,recip); - fe_mul(y,h->Y,recip); - fe_tobytes(s,y); - s[31] ^= fe_isnegative(x) << 7; -} - -void ge_precomp_0(ge_precomp *h) -{ - fe_1(h->yplusx); - fe_1(h->yminusx); - fe_0(h->xy2d); -} -static unsigned char equal(signed char b,signed char c) -{ - unsigned char ub = b; - unsigned char uc = c; - unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ - uint32_t y = x; /* 0: yes; 1..255: no */ - y -= 1; /* 4294967295: yes; 0..254: no */ - y >>= 31; /* 1: yes; 0: no */ - return y; -} -static unsigned char negative(signed char b) -{ - unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ - x >>= 63; /* 1: yes; 0: no */ - return x; -} -static void ge_precomp_cmov(ge_precomp *t,ge_precomp *u,unsigned char b) -{ - fe_cmov(t->yplusx,u->yplusx,b); - fe_cmov(t->yminusx,u->yminusx,b); - fe_cmov(t->xy2d,u->xy2d,b); -} -/* base[i][j] = (j+1)*256^i*B */ -static ge_precomp base[32][8] = { -{ - { - { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, - { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, - { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, - }, - { - { -12815894,-12976347,-21581243,11784320,-25355658,-2750717,-11717903,-3814571,-358445,-10211303 }, - { -21703237,6903825,27185491,6451973,-29577724,-9554005,-15616551,11189268,-26829678,-5319081 }, - { 26966642,11152617,32442495,15396054,14353839,-12752335,-3128826,-9541118,-15472047,-4166697 }, - }, - { - { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, - { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, - { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, - }, - { - { -17036878,13921892,10945806,-6033431,27105052,-16084379,-28926210,15006023,3284568,-6276540 }, - { 23599295,-8306047,-11193664,-7687416,13236774,10506355,7464579,9656445,13059162,10374397 }, - { 7798556,16710257,3033922,2874086,28997861,2835604,32406664,-3839045,-641708,-101325 }, - }, - { - { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, - { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, - { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, - }, - { - { -15371964,-12862754,32573250,4720197,-26436522,5875511,-19188627,-15224819,-9818940,-12085777 }, - { -8549212,109983,15149363,2178705,22900618,4543417,3044240,-15689887,1762328,14866737 }, - { -18199695,-15951423,-10473290,1707278,-17185920,3916101,-28236412,3959421,27914454,4383652 }, - }, - { - { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, - { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, - { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, - }, - { - { 14499471,-2729599,-33191113,-4254652,28494862,14271267,30290735,10876454,-33154098,2381726 }, - { -7195431,-2655363,-14730155,462251,-27724326,3941372,-6236617,3696005,-32300832,15351955 }, - { 27431194,8222322,16448760,-3907995,-18707002,11938355,-32961401,-2970515,29551813,10109425 }, - }, -}, -{ - { - { -13657040,-13155431,-31283750,11777098,21447386,6519384,-2378284,-1627556,10092783,-4764171 }, - { 27939166,14210322,4677035,16277044,-22964462,-12398139,-32508754,12005538,-17810127,12803510 }, - { 17228999,-15661624,-1233527,300140,-1224870,-11714777,30364213,-9038194,18016357,4397660 }, - }, - { - { -10958843,-7690207,4776341,-14954238,27850028,-15602212,-26619106,14544525,-17477504,982639 }, - 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{ -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 }, - }, -}, -} ; -static void select(ge_precomp *t,int pos,signed char b) -{ - ge_precomp minust; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - ge_precomp_0(t); - ge_precomp_cmov(t,&base[pos][0],equal(babs,1)); - ge_precomp_cmov(t,&base[pos][1],equal(babs,2)); - ge_precomp_cmov(t,&base[pos][2],equal(babs,3)); - ge_precomp_cmov(t,&base[pos][3],equal(babs,4)); - ge_precomp_cmov(t,&base[pos][4],equal(babs,5)); - ge_precomp_cmov(t,&base[pos][5],equal(babs,6)); - ge_precomp_cmov(t,&base[pos][6],equal(babs,7)); - ge_precomp_cmov(t,&base[pos][7],equal(babs,8)); - fe_copy(minust.yplusx,t->yminusx); - fe_copy(minust.yminusx,t->yplusx); - fe_neg(minust.xy2d,t->xy2d); - ge_precomp_cmov(t,&minust,bnegative); -} -/* -h = a * B -where a = a[0]+256*a[1]+...+256^31 a[31] -B is the Ed25519 base point (x,4/5) with x positive. -Preconditions: - a[31] <= 127 -*/ -void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) -{ - signed char e[64]; - signed char carry; - ge_p1p1 r; - ge_p2 s; - ge_precomp t; - int i; - for (i = 0;i < 32;++i) { - e[2 * i + 0] = (a[i] >> 0) & 15; - e[2 * i + 1] = (a[i] >> 4) & 15; - } - /* each e[i] is between 0 and 15 */ - /* e[63] is between 0 and 7 */ - carry = 0; - for (i = 0;i < 63;++i) { - e[i] += carry; - carry = e[i] + 8; - carry >>= 4; - e[i] -= carry << 4; - } - e[63] += carry; - /* each e[i] is between -8 and 8 */ - ge_p3_0(h); - for (i = 1;i < 64;i += 2) { - select(&t,i / 2,e[i]); - ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); - } - ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r); - for (i = 0;i < 64;i += 2) { - select(&t,i / 2,e[i]); - ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); - } -} -/* -r = p - q -*/ -void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; -fe_add(r->X,p->Y,p->X); -fe_sub(r->Y,p->Y,p->X); -fe_mul(r->Z,r->X,q->YminusX); -fe_mul(r->Y,r->Y,q->YplusX); -fe_mul(r->T,q->T2d,p->T); -fe_mul(r->X,p->Z,q->Z); -fe_add(t0,r->X,r->X); -fe_sub(r->X,r->Z,r->Y); -fe_add(r->Y,r->Z,r->Y); -fe_sub(r->Z,t0,r->T); -fe_add(r->T,t0,r->T); -} - -void ge_tobytes(unsigned char *s,const ge_p2 *h) -{ - fe recip; - fe x; - fe y; - - fe_invert(recip,h->Z); - fe_mul(x,h->X,recip); - fe_mul(y,h->Y,recip); - fe_tobytes(s,y); - s[31] ^= fe_isnegative(x) << 7; -} -/* - * - * xmr specific code - * - * -This code is from the original CryptoNote. -Some additional functions were needed to compute ring signatures -which are not needed for signing. -Note that sc_sub and sc_mulsub have been given their own file -since these have been rewritten - -*/ -/*Code inherited from the original cryptonote (I didn't write these) */ -/*These functions either don't exist in, or are modified from ref10*/ - - -/* From fe_isnonzero.c, modified */ - -//x -static int fe_isnonzero(const fe f) { - unsigned char s[32]; - fe_tobytes(s, f); - return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | - s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | - s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | - s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; -} - -//double scalar mult precomp -void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s) { - ge_p1p1 t; - ge_p3 s2, u; - ge_p3_to_cached(&r[0], s); - ge_p3_dbl(&t, s); ge_p1p1_to_p3(&s2, &t); - ge_add(&t, &s2, &r[0]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[1], &u); - ge_add(&t, &s2, &r[1]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[2], &u); - ge_add(&t, &s2, &r[2]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[3], &u); - ge_add(&t, &s2, &r[3]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[4], &u); - ge_add(&t, &s2, &r[4]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[5], &u); - ge_add(&t, &s2, &r[5]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[6], &u); - ge_add(&t, &s2, &r[6]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[7], &u); -} - -/* -r = a * A + b * B -where a = a[0]+256*a[1]+...+256^31 a[31]. -and b = b[0]+256*b[1]+...+256^31 b[31]. -B is the Ed25519 base point (x,4/5) with x positive. -*/ - -void ge_double_scalarmult_base_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b) { - signed char aslide[256]; - signed char bslide[256]; - ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ - ge_p1p1 t; - ge_p3 u; - int i; - - slide(aslide, a); - slide(bslide, b); - ge_dsm_precomp(Ai, A);/* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ - - ge_p2_0(r); - - for (i = 255; i >= 0; --i) { - //so this gets us to the highest i such that both have a nonzero - if (aslide[i] || bslide[i]) break; - } - - for (; i >= 0; --i) { - ge_p2_dbl(&t, r);//simple double and add - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_madd(&t, &u, &ge_Bi[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_msub(&t, &u, &ge_Bi[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r, &t); - } -} - - -/* From ge_frombytes.c, modified */ -//this is like xrecover .. -//x -int ge_frombytes_vartime(ge_p3 *h, const unsigned char *s) { - fe u; - fe v; - fe vxx; - fe check; - - /* From fe_frombytes.c */ - - int64_t h0 = load_4(s); - int64_t h1 = load_3(s + 4) << 6; - int64_t h2 = load_3(s + 7) << 5; - int64_t h3 = load_3(s + 10) << 3; - int64_t h4 = load_3(s + 13) << 2; - int64_t h5 = load_4(s + 16); - int64_t h6 = load_3(s + 20) << 7; - int64_t h7 = load_3(s + 23) << 5; - int64_t h8 = load_3(s + 26) << 4; - int64_t h9 = (load_3(s + 29) & 8388607) << 2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - /* Validate the number to be canonical */ - if (h9 == 33554428 && h8 == 268435440 && h7 == 536870880 && h6 == 2147483520 && - h5 == 4294967295 && h4 == 67108860 && h3 == 134217720 && h2 == 536870880 && - h1 == 1073741760 && h0 >= 4294967277) { - return -1; - } - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - h->Y[0] = h0; - h->Y[1] = h1; - h->Y[2] = h2; - h->Y[3] = h3; - h->Y[4] = h4; - h->Y[5] = h5; - h->Y[6] = h6; - h->Y[7] = h7; - h->Y[8] = h8; - h->Y[9] = h9; - - /* End fe_frombytes.c */ - - fe_1(h->Z); - fe_sq(u, h->Y); - fe_mul(v, u, fe_d); - fe_sub(u, u, h->Z); /* u = y^2-1 */ - fe_add(v, v, h->Z); /* v = dy^2+1 */ - - fe_divpowm1(h->X, u, v); /* x = uv^3(uv^7)^((q-5)/8) */ - - fe_sq(vxx, h->X); - fe_mul(vxx, vxx, v); - fe_sub(check, vxx, u); /* vx^2-u */ - if (fe_isnonzero(check)) { - fe_add(check, vxx, u); /* vx^2+u */ - if (fe_isnonzero(check)) { - return -1; - } - fe_mul(h->X, h->X, fe_sqrtm1); //this is mapping X to X * sqrt(-1) c.f. 3.1 in hisil, dong, etc. - } - - if (fe_isnegative(h->X) != (s[31] >> 7)) { - /* If x = 0, the sign must be positive */ - if (!fe_isnonzero(h->X)) { - return -1; - } - fe_neg(h->X, h->X); - } - - fe_mul(h->T, h->X, h->Y); - return 0; -} - -/* New code */ -/* (u / v)^(m + 1) */ -static void fe_divpowm1(fe r, const fe u, const fe v) { - fe v3, uv7, t0, t1, t2; - int i; - - fe_sq(v3, v); - fe_mul(v3, v3, v); /* v3 = v^3 */ - fe_sq(uv7, v3); - fe_mul(uv7, uv7, v); - fe_mul(uv7, uv7, u); /* uv7 = uv^7 */ - - /*fe_pow22523(uv7, uv7);*/ - - /* From fe_pow22523.c */ - - fe_sq(t0, uv7); - fe_sq(t1, t0); - fe_sq(t1, t1); - fe_mul(t1, uv7, t1); - fe_mul(t0, t0, t1); - fe_sq(t0, t0); - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 4; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 9; ++i) { - fe_sq(t1, t1); - } - fe_mul(t1, t1, t0); - fe_sq(t2, t1); - for (i = 0; i < 19; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - for (i = 0; i < 10; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 49; ++i) { - fe_sq(t1, t1); - } - fe_mul(t1, t1, t0); - fe_sq(t2, t1); - for (i = 0; i < 99; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - for (i = 0; i < 50; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t0, t0); - fe_sq(t0, t0); - fe_mul(t0, t0, uv7); - - /* End fe_pow22523.c */ - /* t0 = (uv^7)^((q-5)/8) */ - fe_mul(t0, t0, v3); - fe_mul(r, t0, u); /* u^(m+1)v^(-(m+1)) */ -} - -static void ge_cached_0(ge_cached *r) { - fe_1(r->YplusX); - fe_1(r->YminusX); - fe_1(r->Z); - fe_0(r->T2d); -} - -static void ge_cached_cmov(ge_cached *t, const ge_cached *u, unsigned char b) { - fe_cmov(t->YplusX, u->YplusX, b); - fe_cmov(t->YminusX, u->YminusX, b); - fe_cmov(t->Z, u->Z, b); - fe_cmov(t->T2d, u->T2d, b); -} - -/* Assumes that a[31] <= 127 */ -void ge_scalarmult(ge_p2 *r, const unsigned char *a, const ge_p3 *A) { - signed char e[64]; - int carry, carry2, i; - ge_cached Ai[8]; /* 1 * A, 2 * A, ..., 8 * A */ - ge_p1p1 t; - ge_p3 u; - - carry = 0; /* 0..1 */ - for (i = 0; i < 31; i++) { - carry += a[i]; /* 0..256 */ - carry2 = (carry + 8) >> 4; /* 0..16 */ - e[2 * i] = carry - (carry2 << 4); /* -8..7 */ - carry = (carry2 + 8) >> 4; /* 0..1 */ - e[2 * i + 1] = carry2 - (carry << 4); /* -8..7 */ - } - carry += a[31]; /* 0..128 */ - carry2 = (carry + 8) >> 4; /* 0..8 */ - e[62] = carry - (carry2 << 4); /* -8..7 */ - e[63] = carry2; /* 0..8 */ - - ge_p3_to_cached(&Ai[0], A); - for (i = 0; i < 7; i++) { - ge_add(&t, A, &Ai[i]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[i + 1], &u); - } - - ge_p2_0(r); - for (i = 63; i >= 0; i--) { - signed char b = e[i]; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - ge_cached cur, minuscur; - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p3(&u, &t); - ge_cached_0(&cur); - ge_cached_cmov(&cur, &Ai[0], equal(babs, 1)); - ge_cached_cmov(&cur, &Ai[1], equal(babs, 2)); - ge_cached_cmov(&cur, &Ai[2], equal(babs, 3)); - ge_cached_cmov(&cur, &Ai[3], equal(babs, 4)); - ge_cached_cmov(&cur, &Ai[4], equal(babs, 5)); - ge_cached_cmov(&cur, &Ai[5], equal(babs, 6)); - ge_cached_cmov(&cur, &Ai[6], equal(babs, 7)); - ge_cached_cmov(&cur, &Ai[7], equal(babs, 8)); - fe_copy(minuscur.YplusX, cur.YminusX); - fe_copy(minuscur.YminusX, cur.YplusX); - fe_copy(minuscur.Z, cur.Z); - fe_neg(minuscur.T2d, cur.T2d); - ge_cached_cmov(&cur, &minuscur, bnegative); - ge_add(&t, &u, &cur); - ge_p1p1_to_p2(r, &t); - } -} - -//assume Bi has precomputed multiples -void ge_double_scalarmult_precomp_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b, const ge_dsmp Bii) { - signed char aslide[256]; - signed char bslide[256]; - ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ //precomps - ge_p1p1 t; - ge_p3 u; - int i; - - slide(aslide, a); - slide(bslide, b); - ge_dsm_precomp(Ai, A); - - ge_p2_0(r); - - for (i = 255; i >= 0; --i) { - if (aslide[i] || bslide[i]) break; - } - - for (; i >= 0; --i) { - ge_p2_dbl(&t, r); - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Bii[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Bii[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r, &t); - } -} - -//x -void ge_mul8(ge_p1p1 *r, const ge_p2 *t) { - ge_p2 u; - ge_p2_dbl(r, t); - ge_p1p1_to_p2(&u, r); - ge_p2_dbl(r, &u); - ge_p1p1_to_p2(&u, r); - ge_p2_dbl(r, &u); -} - -//x -void ge_fromfe_frombytes_vartime(ge_p2 *r, const unsigned char *s) { - fe u, v, w, x, y, z; - unsigned char sign; - - /* From fe_frombytes.c */ - - int64_t h0 = load_4(s); - int64_t h1 = load_3(s + 4) << 6; - int64_t h2 = load_3(s + 7) << 5; - int64_t h3 = load_3(s + 10) << 3; - int64_t h4 = load_3(s + 13) << 2; - int64_t h5 = load_4(s + 16); - int64_t h6 = load_3(s + 20) << 7; - int64_t h7 = load_3(s + 23) << 5; - int64_t h8 = load_3(s + 26) << 4; - int64_t h9 = load_3(s + 29) << 2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - u[0] = h0; - u[1] = h1; - u[2] = h2; - u[3] = h3; - u[4] = h4; - u[5] = h5; - u[6] = h6; - u[7] = h7; - u[8] = h8; - u[9] = h9; - - /* End fe_frombytes.c */ - - fe_sq2(v, u); /* 2 * u^2 */ - fe_1(w); - fe_add(w, v, w); /* w = 2 * u^2 + 1 */ - fe_sq(x, w); /* w^2 */ - fe_mul(y, fe_ma2, v); /* -2 * A^2 * u^2 */ - fe_add(x, x, y); /* x = w^2 - 2 * A^2 * u^2 */ - fe_divpowm1(r->X, w, x); /* (w / x)^(m + 1) */ - fe_sq(y, r->X); - fe_mul(x, y, x); - fe_sub(y, w, x); - fe_copy(z, fe_ma); - if (fe_isnonzero(y)) { - fe_add(y, w, x); - if (fe_isnonzero(y)) { - goto negative; - } else { - fe_mul(r->X, r->X, fe_fffb1); - } - } else { - fe_mul(r->X, r->X, fe_fffb2); - } - fe_mul(r->X, r->X, u); /* u * sqrt(2 * A * (A + 2) * w / x) */ - fe_mul(z, z, v); /* -2 * A * u^2 */ - sign = 0; - goto setsign; -negative: - fe_mul(x, x, fe_sqrtm1); - fe_sub(y, w, x); - if (fe_isnonzero(y)) { - assert((fe_add(y, w, x), !fe_isnonzero(y))); - fe_mul(r->X, r->X, fe_fffb3); - } else { - fe_mul(r->X, r->X, fe_fffb4); - } - /* r->X = sqrt(A * (A + 2) * w / x) */ - /* z = -A */ - sign = 1; -setsign: - if (fe_isnegative(r->X) != sign) { - assert(fe_isnonzero(r->X)); - fe_neg(r->X, r->X); - } - fe_add(r->Z, z, w); - fe_sub(r->Y, z, w); - fe_mul(r->X, r->X, r->Z); -#if !defined(NDEBUG) - { - fe check_x, check_y, check_iz, check_v; - fe_invert(check_iz, r->Z); - fe_mul(check_x, r->X, check_iz); - fe_mul(check_y, r->Y, check_iz); - fe_sq(check_x, check_x); - fe_sq(check_y, check_y); - fe_mul(check_v, check_x, check_y); - fe_mul(check_v, fe_d, check_v); - fe_add(check_v, check_v, check_x); - fe_sub(check_v, check_v, check_y); - fe_1(check_x); - fe_add(check_v, check_v, check_x); - assert(!fe_isnonzero(check_v)); - } -#endif -} - -//x -void sc_0(unsigned char *s) { - int i; - for (i = 0; i < 32; i++) { - s[i] = 0; - } -} - -//x -void sc_reduce32(unsigned char *s) { - int64_t s0 = 2097151 & load_3(s); - int64_t s1 = 2097151 & (load_4(s + 2) >> 5); - int64_t s2 = 2097151 & (load_3(s + 5) >> 2); - int64_t s3 = 2097151 & (load_4(s + 7) >> 7); - int64_t s4 = 2097151 & (load_4(s + 10) >> 4); - int64_t s5 = 2097151 & (load_3(s + 13) >> 1); - int64_t s6 = 2097151 & (load_4(s + 15) >> 6); - int64_t s7 = 2097151 & (load_3(s + 18) >> 3); - int64_t s8 = 2097151 & load_3(s + 21); - int64_t s9 = 2097151 & (load_4(s + 23) >> 5); - int64_t s10 = 2097151 & (load_3(s + 26) >> 2); - int64_t s11 = (load_4(s + 28) >> 7); - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -//x -void sc_add(unsigned char *s, const unsigned char *a, const unsigned char *b) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t s0 = a0 + b0; - int64_t s1 = a1 + b1; - int64_t s2 = a2 + b2; - int64_t s3 = a3 + b3; - int64_t s4 = a4 + b4; - int64_t s5 = a5 + b5; - int64_t s6 = a6 + b6; - int64_t s7 = a7 + b7; - int64_t s8 = a8 + b8; - int64_t s9 = a9 + b9; - int64_t s10 = a10 + b10; - int64_t s11 = a11 + b11; - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -/* Assumes that a != INT64_MIN */ -//x c.f. lt in 32 bit ref -static int64_t signum(int64_t a) { - return (a >> 63) - ((-a) >> 63); -} - -//x -int sc_check(const unsigned char *s) { - int64_t s0 = load_4(s); - int64_t s1 = load_4(s + 4); - int64_t s2 = load_4(s + 8); - int64_t s3 = load_4(s + 12); - int64_t s4 = load_4(s + 16); - int64_t s5 = load_4(s + 20); - int64_t s6 = load_4(s + 24); - int64_t s7 = load_4(s + 28); - return (signum(1559614444 - s0) + (signum(1477600026 - s1) << 1) + (signum(2734136534 - s2) << 2) + (signum(350157278 - s3) << 3) + (signum(-s4) << 4) + (signum(-s5) << 5) + (signum(-s6) << 6) + (signum(268435456 - s7) << 7)) >> 8; -} - -//x -int sc_isnonzero(const unsigned char *s) { - return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | - s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | - s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | - s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.h deleted file mode 100644 index 0bd1f9f9b..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.h +++ /dev/null @@ -1,145 +0,0 @@ -// Copyright (c) 2014-2015, The Monero Project -// -// All rights reserved. -// -// Redistribution and use in source and binary forms, with or without modification, are -// permitted provided that the following conditions are met: -// -// 1. Redistributions of source code must retain the above copyright notice, this list of -// conditions and the following disclaimer. -// -// 2. Redistributions in binary form must reproduce the above copyright notice, this list -// of conditions and the following disclaimer in the documentation and/or other -// materials provided with the distribution. -// -// 3. Neither the name of the copyright holder nor the names of its contributors may be -// used to endorse or promote products derived from this software without specific -// prior written permission. -// -// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY -// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF -// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL -// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, -// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, -// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS -// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, -// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF -// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. -// -// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers - -#pragma once - -/* From fe.h */ - -typedef int32_t fe[10]; - -/* From ge.h */ - -typedef struct { - fe X; - fe Y; - fe Z; -} ge_p2; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p3; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p1p1; - -typedef struct { - fe yplusx; - fe yminusx; - fe xy2d; -} ge_precomp; - -typedef struct { - fe YplusX; - fe YminusX; - fe Z; - fe T2d; -} ge_cached; - -/* From ge_add.c */ - -void ge_add(ge_p1p1 *, const ge_p3 *, const ge_cached *); - -/* From ge_double_scalarmult.c, modified */ - -typedef ge_cached ge_dsmp[8]; -extern const ge_precomp ge_Bi[8]; -void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s); -void ge_double_scalarmult_base_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *); - -/* From ge_frombytes.c, modified */ - -extern const fe fe_sqrtm1; -extern const fe fe_d; -int ge_frombytes_vartime(ge_p3 *, const unsigned char *); - -/* From ge_p1p1_to_p2.c */ - -void ge_p1p1_to_p2(ge_p2 *, const ge_p1p1 *); - -/* From ge_p1p1_to_p3.c */ - -void ge_p1p1_to_p3(ge_p3 *, const ge_p1p1 *); - -/* From ge_p2_dbl.c */ - -void ge_p2_dbl(ge_p1p1 *, const ge_p2 *); - -/* From ge_p3_to_cached.c */ - -extern const fe fe_d2; -void ge_p3_to_cached(ge_cached *, const ge_p3 *); - -/* From ge_p3_to_p2.c */ - -void ge_p3_to_p2(ge_p2 *, const ge_p3 *); - -/* From ge_p3_tobytes.c */ - -void ge_p3_tobytes(unsigned char *, const ge_p3 *); - -/* From ge_scalarmult_base.c */ - -extern const ge_precomp ge_base[32][8]; -void ge_scalarmult_base(ge_p3 *, const unsigned char *); - -/* From ge_tobytes.c */ - -void ge_tobytes(unsigned char *, const ge_p2 *); - -/* From sc_reduce.c */ - -void sc_reduce(unsigned char *); - -/* New code */ - -void ge_scalarmult(ge_p2 *, const unsigned char *, const ge_p3 *); -void ge_double_scalarmult_precomp_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *, const ge_dsmp); -void ge_mul8(ge_p1p1 *, const ge_p2 *); -extern const fe fe_ma2; -extern const fe fe_ma; -extern const fe fe_fffb1; -extern const fe fe_fffb2; -extern const fe fe_fffb3; -extern const fe fe_fffb4; -void ge_fromfe_frombytes_vartime(ge_p2 *, const unsigned char *); -void sc_0(unsigned char *); -void sc_reduce32(unsigned char *); -void sc_add(unsigned char *, const unsigned char *, const unsigned char *); -void sc_sub(unsigned char *, const unsigned char *, const unsigned char *); -void sc_mulsub(unsigned char *, const unsigned char *, const unsigned char *, const unsigned char *); -int sc_check(const unsigned char *); -int sc_isnonzero(const unsigned char *); /* Doesn't normalize */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.h deleted file mode 100644 index e25f57835..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.h +++ /dev/null @@ -1 +0,0 @@ --10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116 diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.py deleted file mode 100644 index 8995bb86a..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.py +++ /dev/null @@ -1,28 +0,0 @@ -q = 2**255 - 19 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -d = -121665 * inv(121666) -print radix255(d) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.h deleted file mode 100644 index 01aaec751..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.h +++ /dev/null @@ -1 +0,0 @@ --21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.py deleted file mode 100644 index 79841758b..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.py +++ /dev/null @@ -1,28 +0,0 @@ -q = 2**255 - 19 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -d = -121665 * inv(121666) -print radix255(d*2) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/description b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/description deleted file mode 100644 index 07bf45d05..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/description +++ /dev/null @@ -1,7 +0,0 @@ -shen_ed25519_ref10 -MakeCryptoOps.py makes crypto-ops.c in the monero source from the ref10 implementation - -EdDSA signatures using Curve25519 -from http://hyperelliptic.org/ebats/supercop-20141124.tar.bz2 - -commented / combined by shen noether, monero research labs diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/designers b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/designers deleted file mode 100644 index 63781c08f..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/designers +++ /dev/null @@ -1,9 +0,0 @@ -ref10: -Daniel J. Bernstein -Niels Duif -Tanja Lange -Peter Schwabe -Bo-Yin Yang - -MakeCryptoOps.py -Shen Noether monero research labs diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe.h deleted file mode 100644 index 60c308ba4..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe.h +++ /dev/null @@ -1,56 +0,0 @@ -#ifndef FE_H -#define FE_H - -#include "crypto_int32.h" - -typedef crypto_int32 fe[10]; - -/* -fe means field element. -Here the field is \Z/(2^255-19). -An element t, entries t[0]...t[9], represents the integer -t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. -Bounds on each t[i] vary depending on context. -*/ - -#define fe_frombytes crypto_sign_ed25519_ref10_fe_frombytes -#define fe_tobytes crypto_sign_ed25519_ref10_fe_tobytes -#define fe_copy crypto_sign_ed25519_ref10_fe_copy -#define fe_isnonzero crypto_sign_ed25519_ref10_fe_isnonzero -#define fe_isnegative crypto_sign_ed25519_ref10_fe_isnegative -#define fe_0 crypto_sign_ed25519_ref10_fe_0 -#define fe_1 crypto_sign_ed25519_ref10_fe_1 -#define fe_cswap crypto_sign_ed25519_ref10_fe_cswap -#define fe_cmov crypto_sign_ed25519_ref10_fe_cmov -#define fe_add crypto_sign_ed25519_ref10_fe_add -#define fe_sub crypto_sign_ed25519_ref10_fe_sub -#define fe_neg crypto_sign_ed25519_ref10_fe_neg -#define fe_mul crypto_sign_ed25519_ref10_fe_mul -#define fe_sq crypto_sign_ed25519_ref10_fe_sq -#define fe_sq2 crypto_sign_ed25519_ref10_fe_sq2 -#define fe_mul121666 crypto_sign_ed25519_ref10_fe_mul121666 -#define fe_invert crypto_sign_ed25519_ref10_fe_invert -#define fe_pow22523 crypto_sign_ed25519_ref10_fe_pow22523 - -extern void fe_frombytes(fe,const unsigned char *); -extern void fe_tobytes(unsigned char *,const fe); - -extern void fe_copy(fe,const fe); -extern int fe_isnonzero(const fe); -extern int fe_isnegative(const fe); -extern void fe_0(fe); -extern void fe_1(fe); -extern void fe_cswap(fe,fe,unsigned int); -extern void fe_cmov(fe,const fe,unsigned int); - -extern void fe_add(fe,const fe,const fe); -extern void fe_sub(fe,const fe,const fe); -extern void fe_neg(fe,const fe); -extern void fe_mul(fe,const fe,const fe); -extern void fe_sq(fe,const fe); -extern void fe_sq2(fe,const fe); -extern void fe_mul121666(fe,const fe); -extern void fe_invert(fe,const fe); -extern void fe_pow22523(fe,const fe); - -#endif diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_0.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_0.c deleted file mode 100644 index ec879d733..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_0.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" - -/* -h = 0 -*/ - -void fe_0(fe h) -{ - h[0] = 0; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_1.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_1.c deleted file mode 100644 index 8cf778484..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_1.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" - -/* -h = 1 -*/ - -void fe_1(fe h) -{ - h[0] = 1; - h[1] = 0; - h[2] = 0; - h[3] = 0; - h[4] = 0; - h[5] = 0; - h[6] = 0; - h[7] = 0; - h[8] = 0; - h[9] = 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_add.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_add.c deleted file mode 100644 index e6a81da20..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_add.c +++ /dev/null @@ -1,57 +0,0 @@ -#include "fe.h" - -/* -h = f + g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_add(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 h0 = f0 + g0; - crypto_int32 h1 = f1 + g1; - crypto_int32 h2 = f2 + g2; - crypto_int32 h3 = f3 + g3; - crypto_int32 h4 = f4 + g4; - crypto_int32 h5 = f5 + g5; - crypto_int32 h6 = f6 + g6; - crypto_int32 h7 = f7 + g7; - crypto_int32 h8 = f8 + g8; - crypto_int32 h9 = f9 + g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_cmov.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_cmov.c deleted file mode 100644 index 8ca584fb1..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_cmov.c +++ /dev/null @@ -1,63 +0,0 @@ -#include "fe.h" - -/* -Replace (f,g) with (g,g) if b == 1; -replace (f,g) with (f,g) if b == 0. - -Preconditions: b in {0,1}. -*/ - -void fe_cmov(fe f,const fe g,unsigned int b) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 x0 = f0 ^ g0; - crypto_int32 x1 = f1 ^ g1; - crypto_int32 x2 = f2 ^ g2; - crypto_int32 x3 = f3 ^ g3; - crypto_int32 x4 = f4 ^ g4; - crypto_int32 x5 = f5 ^ g5; - crypto_int32 x6 = f6 ^ g6; - crypto_int32 x7 = f7 ^ g7; - crypto_int32 x8 = f8 ^ g8; - crypto_int32 x9 = f9 ^ g9; - b = -b; - x0 &= b; - x1 &= b; - x2 &= b; - x3 &= b; - x4 &= b; - x5 &= b; - x6 &= b; - x7 &= b; - x8 &= b; - x9 &= b; - f[0] = f0 ^ x0; - f[1] = f1 ^ x1; - f[2] = f2 ^ x2; - f[3] = f3 ^ x3; - f[4] = f4 ^ x4; - f[5] = f5 ^ x5; - f[6] = f6 ^ x6; - f[7] = f7 ^ x7; - f[8] = f8 ^ x8; - f[9] = f9 ^ x9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_copy.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_copy.c deleted file mode 100644 index 9c5bf865a..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_copy.c +++ /dev/null @@ -1,29 +0,0 @@ -#include "fe.h" - -/* -h = f -*/ - -void fe_copy(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - h[0] = f0; - h[1] = f1; - h[2] = f2; - h[3] = f3; - h[4] = f4; - h[5] = f5; - h[6] = f6; - h[7] = f7; - h[8] = f8; - h[9] = f9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_frombytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_frombytes.c deleted file mode 100644 index 5c1791748..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_frombytes.c +++ /dev/null @@ -1,73 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -/* -Ignores top bit of h. -*/ - -void fe_frombytes(fe h,const unsigned char *s) -{ - crypto_int64 h0 = load_4(s); - crypto_int64 h1 = load_3(s + 4) << 6; - crypto_int64 h2 = load_3(s + 7) << 5; - crypto_int64 h3 = load_3(s + 10) << 3; - crypto_int64 h4 = load_3(s + 13) << 2; - crypto_int64 h5 = load_4(s + 16); - crypto_int64 h6 = load_3(s + 20) << 7; - crypto_int64 h7 = load_3(s + 23) << 5; - crypto_int64 h8 = load_3(s + 26) << 4; - crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_invert.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_invert.c deleted file mode 100644 index bcfdb8ff8..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_invert.c +++ /dev/null @@ -1,14 +0,0 @@ -#include "fe.h" - -void fe_invert(fe out,const fe z) -{ - fe t0; - fe t1; - fe t2; - fe t3; - int i; - -#include "pow225521.h" - - return; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnegative.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnegative.c deleted file mode 100644 index 3b2c8b8d5..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnegative.c +++ /dev/null @@ -1,16 +0,0 @@ -#include "fe.h" - -/* -return 1 if f is in {1,3,5,...,q-2} -return 0 if f is in {0,2,4,...,q-1} - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -int fe_isnegative(const fe f) -{ - unsigned char s[32]; - fe_tobytes(s,f); - return s[0] & 1; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnonzero.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnonzero.c deleted file mode 100644 index 47568001c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnonzero.c +++ /dev/null @@ -1,19 +0,0 @@ -#include "fe.h" -#include "crypto_verify_32.h" - -/* -return 1 if f == 0 -return 0 if f != 0 - -Preconditions: - |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -static const unsigned char zero[32]; - -int fe_isnonzero(const fe f) -{ - unsigned char s[32]; - fe_tobytes(s,f); - return crypto_verify_32(s,zero); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_mul.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_mul.c deleted file mode 100644 index 26ca8b368..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_mul.c +++ /dev/null @@ -1,253 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = f * g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -Notes on implementation strategy: - -Using schoolbook multiplication. -Karatsuba would save a little in some cost models. - -Most multiplications by 2 and 19 are 32-bit precomputations; -cheaper than 64-bit postcomputations. - -There is one remaining multiplication by 19 in the carry chain; -one *19 precomputation can be merged into this, -but the resulting data flow is considerably less clean. - -There are 12 carries below. -10 of them are 2-way parallelizable and vectorizable. -Can get away with 11 carries, but then data flow is much deeper. - -With tighter constraints on inputs can squeeze carries into int32. -*/ - -void fe_mul(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */ - crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ - crypto_int32 g3_19 = 19 * g3; - crypto_int32 g4_19 = 19 * g4; - crypto_int32 g5_19 = 19 * g5; - crypto_int32 g6_19 = 19 * g6; - crypto_int32 g7_19 = 19 * g7; - crypto_int32 g8_19 = 19 * g8; - crypto_int32 g9_19 = 19 * g9; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f9_2 = 2 * f9; - crypto_int64 f0g0 = f0 * (crypto_int64) g0; - crypto_int64 f0g1 = f0 * (crypto_int64) g1; - crypto_int64 f0g2 = f0 * (crypto_int64) g2; - crypto_int64 f0g3 = f0 * (crypto_int64) g3; - crypto_int64 f0g4 = f0 * (crypto_int64) g4; - crypto_int64 f0g5 = f0 * (crypto_int64) g5; - crypto_int64 f0g6 = f0 * (crypto_int64) g6; - crypto_int64 f0g7 = f0 * (crypto_int64) g7; - crypto_int64 f0g8 = f0 * (crypto_int64) g8; - crypto_int64 f0g9 = f0 * (crypto_int64) g9; - crypto_int64 f1g0 = f1 * (crypto_int64) g0; - crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; - crypto_int64 f1g2 = f1 * (crypto_int64) g2; - crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; - crypto_int64 f1g4 = f1 * (crypto_int64) g4; - crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; - crypto_int64 f1g6 = f1 * (crypto_int64) g6; - crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; - crypto_int64 f1g8 = f1 * (crypto_int64) g8; - crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; - crypto_int64 f2g0 = f2 * (crypto_int64) g0; - crypto_int64 f2g1 = f2 * (crypto_int64) g1; - crypto_int64 f2g2 = f2 * (crypto_int64) g2; - crypto_int64 f2g3 = f2 * (crypto_int64) g3; - crypto_int64 f2g4 = f2 * (crypto_int64) g4; - crypto_int64 f2g5 = f2 * (crypto_int64) g5; - crypto_int64 f2g6 = f2 * (crypto_int64) g6; - crypto_int64 f2g7 = f2 * (crypto_int64) g7; - crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; - crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; - crypto_int64 f3g0 = f3 * (crypto_int64) g0; - crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; - crypto_int64 f3g2 = f3 * (crypto_int64) g2; - crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; - crypto_int64 f3g4 = f3 * (crypto_int64) g4; - crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; - crypto_int64 f3g6 = f3 * (crypto_int64) g6; - crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; - crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; - crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; - crypto_int64 f4g0 = f4 * (crypto_int64) g0; - crypto_int64 f4g1 = f4 * (crypto_int64) g1; - crypto_int64 f4g2 = f4 * (crypto_int64) g2; - crypto_int64 f4g3 = f4 * (crypto_int64) g3; - crypto_int64 f4g4 = f4 * (crypto_int64) g4; - crypto_int64 f4g5 = f4 * (crypto_int64) g5; - crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; - crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; - crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; - crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; - crypto_int64 f5g0 = f5 * (crypto_int64) g0; - crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; - crypto_int64 f5g2 = f5 * (crypto_int64) g2; - crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; - crypto_int64 f5g4 = f5 * (crypto_int64) g4; - crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; - crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; - crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; - crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; - crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; - crypto_int64 f6g0 = f6 * (crypto_int64) g0; - crypto_int64 f6g1 = f6 * (crypto_int64) g1; - crypto_int64 f6g2 = f6 * (crypto_int64) g2; - crypto_int64 f6g3 = f6 * (crypto_int64) g3; - crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; - crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; - crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; - crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; - crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; - crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; - crypto_int64 f7g0 = f7 * (crypto_int64) g0; - crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; - crypto_int64 f7g2 = f7 * (crypto_int64) g2; - crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; - crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; - crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; - crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; - crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; - crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; - crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; - crypto_int64 f8g0 = f8 * (crypto_int64) g0; - crypto_int64 f8g1 = f8 * (crypto_int64) g1; - crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; - crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; - crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; - crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; - crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; - crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; - crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; - crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; - crypto_int64 f9g0 = f9 * (crypto_int64) g0; - crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; - crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; - crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; - crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; - crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; - crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; - crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; - crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; - crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; - crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; - crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; - crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; - crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; - crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; - crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; - crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; - crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; - crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; - crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - /* - |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) - i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 - |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) - i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 - */ - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - /* |h0| <= 2^25 */ - /* |h4| <= 2^25 */ - /* |h1| <= 1.71*2^59 */ - /* |h5| <= 1.71*2^59 */ - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - /* |h1| <= 2^24; from now on fits into int32 */ - /* |h5| <= 2^24; from now on fits into int32 */ - /* |h2| <= 1.41*2^60 */ - /* |h6| <= 1.41*2^60 */ - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - /* |h2| <= 2^25; from now on fits into int32 unchanged */ - /* |h6| <= 2^25; from now on fits into int32 unchanged */ - /* |h3| <= 1.71*2^59 */ - /* |h7| <= 1.71*2^59 */ - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - /* |h3| <= 2^24; from now on fits into int32 unchanged */ - /* |h7| <= 2^24; from now on fits into int32 unchanged */ - /* |h4| <= 1.72*2^34 */ - /* |h8| <= 1.41*2^60 */ - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - /* |h4| <= 2^25; from now on fits into int32 unchanged */ - /* |h8| <= 2^25; from now on fits into int32 unchanged */ - /* |h5| <= 1.01*2^24 */ - /* |h9| <= 1.71*2^59 */ - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - /* |h9| <= 2^24; from now on fits into int32 unchanged */ - /* |h0| <= 1.1*2^39 */ - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - /* |h0| <= 2^25; from now on fits into int32 unchanged */ - /* |h1| <= 1.01*2^24 */ - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_neg.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_neg.c deleted file mode 100644 index 2078ce528..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_neg.c +++ /dev/null @@ -1,45 +0,0 @@ -#include "fe.h" - -/* -h = -f - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. -*/ - -void fe_neg(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 h0 = -f0; - crypto_int32 h1 = -f1; - crypto_int32 h2 = -f2; - crypto_int32 h3 = -f3; - crypto_int32 h4 = -f4; - crypto_int32 h5 = -f5; - crypto_int32 h6 = -f6; - crypto_int32 h7 = -f7; - crypto_int32 h8 = -f8; - crypto_int32 h9 = -f9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_pow22523.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_pow22523.c deleted file mode 100644 index 56675a590..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_pow22523.c +++ /dev/null @@ -1,13 +0,0 @@ -#include "fe.h" - -void fe_pow22523(fe out,const fe z) -{ - fe t0; - fe t1; - fe t2; - int i; - -#include "pow22523.h" - - return; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq.c deleted file mode 100644 index 8dd119841..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq.c +++ /dev/null @@ -1,149 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 f0_2 = 2 * f0; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f2_2 = 2 * f2; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f4_2 = 2 * f4; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f6_2 = 2 * f6; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ - crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ - crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ - crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ - crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ - crypto_int64 f0f0 = f0 * (crypto_int64) f0; - crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; - crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; - crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; - crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; - crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; - crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; - crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; - crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; - crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; - crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; - crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; - crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; - crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; - crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; - crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; - crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; - crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; - crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; - crypto_int64 f2f2 = f2 * (crypto_int64) f2; - crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; - crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; - crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; - crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; - crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; - crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; - crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; - crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; - crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; - crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; - crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; - crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; - crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; - crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; - crypto_int64 f4f4 = f4 * (crypto_int64) f4; - crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; - crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; - crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; - crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; - crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; - crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; - crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; - crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; - crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; - crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; - crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; - crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; - crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; - crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; - crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; - crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; - crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; - crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; - crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; - crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; - crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq2.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq2.c deleted file mode 100644 index 026ed3aac..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq2.c +++ /dev/null @@ -1,160 +0,0 @@ -#include "fe.h" -#include "crypto_int64.h" - -/* -h = 2 * f * f -Can overlap h with f. - -Preconditions: - |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. - -Postconditions: - |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. -*/ - -/* -See fe_mul.c for discussion of implementation strategy. -*/ - -void fe_sq2(fe h,const fe f) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 f0_2 = 2 * f0; - crypto_int32 f1_2 = 2 * f1; - crypto_int32 f2_2 = 2 * f2; - crypto_int32 f3_2 = 2 * f3; - crypto_int32 f4_2 = 2 * f4; - crypto_int32 f5_2 = 2 * f5; - crypto_int32 f6_2 = 2 * f6; - crypto_int32 f7_2 = 2 * f7; - crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ - crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ - crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ - crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ - crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ - crypto_int64 f0f0 = f0 * (crypto_int64) f0; - crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; - crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; - crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; - crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; - crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; - crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; - crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; - crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; - crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; - crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; - crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; - crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; - crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; - crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; - crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; - crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; - crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; - crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; - crypto_int64 f2f2 = f2 * (crypto_int64) f2; - crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; - crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; - crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; - crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; - crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; - crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; - crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; - crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; - crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; - crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; - crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; - crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; - crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; - crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; - crypto_int64 f4f4 = f4 * (crypto_int64) f4; - crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; - crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; - crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; - crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; - crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; - crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; - crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; - crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; - crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; - crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; - crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; - crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; - crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; - crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; - crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; - crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; - crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; - crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; - crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; - crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; - crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; - crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; - crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; - crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; - crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; - crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; - crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; - crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; - crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; - crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - - h0 += h0; - h1 += h1; - h2 += h2; - h3 += h3; - h4 += h4; - h5 += h5; - h6 += h6; - h7 += h7; - h8 += h8; - h9 += h9; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - - carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - - carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - - carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - - carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sub.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sub.c deleted file mode 100644 index 6e26b7df8..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sub.c +++ /dev/null @@ -1,57 +0,0 @@ -#include "fe.h" - -/* -h = f - g -Can overlap h with f or g. - -Preconditions: - |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. - -Postconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. -*/ - -void fe_sub(fe h,const fe f,const fe g) -{ - crypto_int32 f0 = f[0]; - crypto_int32 f1 = f[1]; - crypto_int32 f2 = f[2]; - crypto_int32 f3 = f[3]; - crypto_int32 f4 = f[4]; - crypto_int32 f5 = f[5]; - crypto_int32 f6 = f[6]; - crypto_int32 f7 = f[7]; - crypto_int32 f8 = f[8]; - crypto_int32 f9 = f[9]; - crypto_int32 g0 = g[0]; - crypto_int32 g1 = g[1]; - crypto_int32 g2 = g[2]; - crypto_int32 g3 = g[3]; - crypto_int32 g4 = g[4]; - crypto_int32 g5 = g[5]; - crypto_int32 g6 = g[6]; - crypto_int32 g7 = g[7]; - crypto_int32 g8 = g[8]; - crypto_int32 g9 = g[9]; - crypto_int32 h0 = f0 - g0; - crypto_int32 h1 = f1 - g1; - crypto_int32 h2 = f2 - g2; - crypto_int32 h3 = f3 - g3; - crypto_int32 h4 = f4 - g4; - crypto_int32 h5 = f5 - g5; - crypto_int32 h6 = f6 - g6; - crypto_int32 h7 = f7 - g7; - crypto_int32 h8 = f8 - g8; - crypto_int32 h9 = f9 - g9; - h[0] = h0; - h[1] = h1; - h[2] = h2; - h[3] = h3; - h[4] = h4; - h[5] = h5; - h[6] = h6; - h[7] = h7; - h[8] = h8; - h[9] = h9; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_tobytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_tobytes.c deleted file mode 100644 index 0a63baf9c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_tobytes.c +++ /dev/null @@ -1,119 +0,0 @@ -#include "fe.h" - -/* -Preconditions: - |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. - -Write p=2^255-19; q=floor(h/p). -Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). - -Proof: - Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. - Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. - - Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). - Then 0> 25; - q = (h0 + q) >> 26; - q = (h1 + q) >> 25; - q = (h2 + q) >> 26; - q = (h3 + q) >> 25; - q = (h4 + q) >> 26; - q = (h5 + q) >> 25; - q = (h6 + q) >> 26; - q = (h7 + q) >> 25; - q = (h8 + q) >> 26; - q = (h9 + q) >> 25; - - /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */ - h0 += 19 * q; - /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */ - - carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26; - carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25; - carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26; - carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25; - carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26; - carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25; - carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26; - carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25; - carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26; - carry9 = h9 >> 25; h9 -= carry9 << 25; - /* h10 = carry9 */ - - /* - Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. - Have h0+...+2^230 h9 between 0 and 2^255-1; - evidently 2^255 h10-2^255 q = 0. - Goal: Output h0+...+2^230 h9. - */ - - s[0] = h0 >> 0; - s[1] = h0 >> 8; - s[2] = h0 >> 16; - s[3] = (h0 >> 24) | (h1 << 2); - s[4] = h1 >> 6; - s[5] = h1 >> 14; - s[6] = (h1 >> 22) | (h2 << 3); - s[7] = h2 >> 5; - s[8] = h2 >> 13; - s[9] = (h2 >> 21) | (h3 << 5); - s[10] = h3 >> 3; - s[11] = h3 >> 11; - s[12] = (h3 >> 19) | (h4 << 6); - s[13] = h4 >> 2; - s[14] = h4 >> 10; - s[15] = h4 >> 18; - s[16] = h5 >> 0; - s[17] = h5 >> 8; - s[18] = h5 >> 16; - s[19] = (h5 >> 24) | (h6 << 1); - s[20] = h6 >> 7; - s[21] = h6 >> 15; - s[22] = (h6 >> 23) | (h7 << 3); - s[23] = h7 >> 5; - s[24] = h7 >> 13; - s[25] = (h7 >> 21) | (h8 << 4); - s[26] = h8 >> 4; - s[27] = h8 >> 12; - s[28] = (h8 >> 20) | (h9 << 6); - s[29] = h9 >> 2; - s[30] = h9 >> 10; - s[31] = h9 >> 18; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge.h deleted file mode 100644 index 55e95f95b..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge.h +++ /dev/null @@ -1,95 +0,0 @@ -#ifndef GE_H -#define GE_H - -/* -ge means group element. - -Here the group is the set of pairs (x,y) of field elements (see fe.h) -satisfying -x^2 + y^2 = 1 + d x^2y^2 -where d = -121665/121666. - -Representations: - ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z - ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT - ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T - ge_precomp (Duif): (y+x,y-x,2dxy) -*/ - -#include "fe.h" - -typedef struct { - fe X; - fe Y; - fe Z; -} ge_p2; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p3; - -typedef struct { - fe X; - fe Y; - fe Z; - fe T; -} ge_p1p1; - -typedef struct { - fe yplusx; - fe yminusx; - fe xy2d; -} ge_precomp; - -typedef struct { - fe YplusX; - fe YminusX; - fe Z; - fe T2d; -} ge_cached; - -#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime -#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes -#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes - -#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0 -#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0 -#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0 -#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2 -#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached -#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2 -#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3 -#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl -#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl - -#define ge_madd crypto_sign_ed25519_ref10_ge_madd -#define ge_msub crypto_sign_ed25519_ref10_ge_msub -#define ge_add crypto_sign_ed25519_ref10_ge_add -#define ge_sub crypto_sign_ed25519_ref10_ge_sub -#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base -#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime - -extern void ge_tobytes(unsigned char *,const ge_p2 *); -extern void ge_p3_tobytes(unsigned char *,const ge_p3 *); -extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); - -extern void ge_p2_0(ge_p2 *); -extern void ge_p3_0(ge_p3 *); -extern void ge_precomp_0(ge_precomp *); -extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *); -extern void ge_p3_to_cached(ge_cached *,const ge_p3 *); -extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); -extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); -extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); -extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); - -extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); -extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); -extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); -extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); -extern void ge_scalarmult_base(ge_p3 *,const unsigned char *); -extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *); - -#endif diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.c deleted file mode 100644 index da7ff5d2e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p + q -*/ - -void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; -#include "ge_add.h" -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.h deleted file mode 100644 index 7481f8ffb..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.h +++ /dev/null @@ -1,97 +0,0 @@ - -/* qhasm: enter ge_add */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe Z2 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ZZ */ - -/* qhasm: fe YpX2 */ - -/* qhasm: fe YmX2 */ - -/* qhasm: fe T2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*YpX2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YplusX); */ -fe_mul(r->Z,r->X,q->YplusX); - -/* qhasm: B = YmX1*YmX2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YminusX); */ -fe_mul(r->Y,r->Y,q->YminusX); - -/* qhasm: C = T2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ -fe_mul(r->T,q->T2d,p->T); - -/* qhasm: ZZ = Z1*Z2 */ -/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ -fe_mul(r->X,p->Z,q->Z); - -/* qhasm: D = 2*ZZ */ -/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ -fe_add(t0,r->X,r->X); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D+C */ -/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ -fe_add(r->Z,t0,r->T); - -/* qhasm: T3 = D-C */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ -fe_sub(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.q deleted file mode 100644 index a6572ab0f..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.q +++ /dev/null @@ -1,49 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,> 3] >> (i & 7)); - - for (i = 0;i < 256;++i) - if (r[i]) { - for (b = 1;b <= 6 && i + b < 256;++b) { - if (r[i + b]) { - if (r[i] + (r[i + b] << b) <= 15) { - r[i] += r[i + b] << b; r[i + b] = 0; - } else if (r[i] - (r[i + b] << b) >= -15) { - r[i] -= r[i + b] << b; - for (k = i + b;k < 256;++k) { - if (!r[k]) { - r[k] = 1; - break; - } - r[k] = 0; - } - } else - break; - } - } - } - -} - -static ge_precomp Bi[8] = { -#include "base2.h" -} ; - -/* -r = a * A + b * B -where a = a[0]+256*a[1]+...+256^31 a[31]. -and b = b[0]+256*b[1]+...+256^31 b[31]. -B is the Ed25519 base point (x,4/5) with x positive. -*/ - -void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b) -{ - signed char aslide[256]; - signed char bslide[256]; - ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ - ge_p1p1 t; - ge_p3 u; - ge_p3 A2; - int i; - - slide(aslide,a); - slide(bslide,b); - - ge_p3_to_cached(&Ai[0],A); - ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); - ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); - ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); - ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); - ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); - ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); - ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); - ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); - - ge_p2_0(r); - - for (i = 255;i >= 0;--i) { - if (aslide[i] || bslide[i]) break; - } - - for (;i >= 0;--i) { - ge_p2_dbl(&t,r); - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u,&t); - ge_add(&t,&u,&Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u,&t); - ge_sub(&t,&u,&Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u,&t); - ge_madd(&t,&u,&Bi[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u,&t); - ge_msub(&t,&u,&Bi[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r,&t); - } -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_frombytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_frombytes.c deleted file mode 100644 index 1a059ee93..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_frombytes.c +++ /dev/null @@ -1,50 +0,0 @@ -#include "ge.h" - -static const fe d = { -#include "d.h" -} ; - -static const fe sqrtm1 = { -#include "sqrtm1.h" -} ; - -int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) -{ - fe u; - fe v; - fe v3; - fe vxx; - fe check; - - fe_frombytes(h->Y,s); - fe_1(h->Z); - fe_sq(u,h->Y); - fe_mul(v,u,d); - fe_sub(u,u,h->Z); /* u = y^2-1 */ - fe_add(v,v,h->Z); /* v = dy^2+1 */ - - fe_sq(v3,v); - fe_mul(v3,v3,v); /* v3 = v^3 */ - fe_sq(h->X,v3); - fe_mul(h->X,h->X,v); - fe_mul(h->X,h->X,u); /* x = uv^7 */ - - fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ - fe_mul(h->X,h->X,v3); - fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ - - fe_sq(vxx,h->X); - fe_mul(vxx,vxx,v); - fe_sub(check,vxx,u); /* vx^2-u */ - if (fe_isnonzero(check)) { - fe_add(check,vxx,u); /* vx^2+u */ - if (fe_isnonzero(check)) return -1; - fe_mul(h->X,h->X,sqrtm1); - } - - if (fe_isnegative(h->X) == (s[31] >> 7)) - fe_neg(h->X,h->X); - - fe_mul(h->T,h->X,h->Y); - return 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.c deleted file mode 100644 index 622571774..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p + q -*/ - -void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) -{ - fe t0; -#include "ge_madd.h" -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.h deleted file mode 100644 index ecae84952..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.h +++ /dev/null @@ -1,88 +0,0 @@ - -/* qhasm: enter ge_madd */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ypx2 */ - -/* qhasm: fe ymx2 */ - -/* qhasm: fe xy2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*ypx2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yplusx); */ -fe_mul(r->Z,r->X,q->yplusx); - -/* qhasm: B = YmX1*ymx2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yminusx); */ -fe_mul(r->Y,r->Y,q->yminusx); - -/* qhasm: C = xy2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ -fe_mul(r->T,q->xy2d,p->T); - -/* qhasm: D = 2*Z1 */ -/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ -fe_add(t0,p->Z,p->Z); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D+C */ -/* asm 1: fe_add(>Z3=fe#3,Z3=r->Z,T); */ -fe_add(r->Z,t0,r->T); - -/* qhasm: T3 = D-C */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T); */ -fe_sub(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.q deleted file mode 100644 index aa3db454e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.q +++ /dev/null @@ -1,46 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*ymx2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,yminusx); */ -fe_mul(r->Z,r->X,q->yminusx); - -/* qhasm: B = YmX1*ypx2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,yplusx); */ -fe_mul(r->Y,r->Y,q->yplusx); - -/* qhasm: C = xy2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,xy2d,T); */ -fe_mul(r->T,q->xy2d,p->T); - -/* qhasm: D = 2*Z1 */ -/* asm 1: fe_add(>D=fe#5,D=t0,Z,Z); */ -fe_add(t0,p->Z,p->Z); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D-C */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ -fe_sub(r->Z,t0,r->T); - -/* qhasm: T3 = D+C */ -/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ -fe_add(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.q deleted file mode 100644 index e3cadd882..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.q +++ /dev/null @@ -1,46 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,X,p->X,p->T); - fe_mul(r->Y,p->Y,p->Z); - fe_mul(r->Z,p->Z,p->T); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p3.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p3.c deleted file mode 100644 index 2f57b1096..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p3.c +++ /dev/null @@ -1,13 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p) -{ - fe_mul(r->X,p->X,p->T); - fe_mul(r->Y,p->Y,p->Z); - fe_mul(r->Z,p->Z,p->T); - fe_mul(r->T,p->X,p->Y); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_0.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_0.c deleted file mode 100644 index 6191d1e6e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_0.c +++ /dev/null @@ -1,8 +0,0 @@ -#include "ge.h" - -void ge_p2_0(ge_p2 *h) -{ - fe_0(h->X); - fe_1(h->Y); - fe_1(h->Z); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.c deleted file mode 100644 index 2e332b5ce..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = 2 * p -*/ - -void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) -{ - fe t0; -#include "ge_p2_dbl.h" -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.h deleted file mode 100644 index 128efed90..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.h +++ /dev/null @@ -1,73 +0,0 @@ - -/* qhasm: enter ge_p2_dbl */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe A */ - -/* qhasm: fe AA */ - -/* qhasm: fe XX */ - -/* qhasm: fe YY */ - -/* qhasm: fe B */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: XX=X1^2 */ -/* asm 1: fe_sq(>XX=fe#1,XX=r->X,X); */ -fe_sq(r->X,p->X); - -/* qhasm: YY=Y1^2 */ -/* asm 1: fe_sq(>YY=fe#3,YY=r->Z,Y); */ -fe_sq(r->Z,p->Y); - -/* qhasm: B=2*Z1^2 */ -/* asm 1: fe_sq2(>B=fe#4,B=r->T,Z); */ -fe_sq2(r->T,p->Z); - -/* qhasm: A=X1+Y1 */ -/* asm 1: fe_add(>A=fe#2,A=r->Y,X,Y); */ -fe_add(r->Y,p->X,p->Y); - -/* qhasm: AA=A^2 */ -/* asm 1: fe_sq(>AA=fe#5,AA=t0,Y); */ -fe_sq(t0,r->Y); - -/* qhasm: Y3=YY+XX */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,X); */ -fe_add(r->Y,r->Z,r->X); - -/* qhasm: Z3=YY-XX */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,Z,X); */ -fe_sub(r->Z,r->Z,r->X); - -/* qhasm: X3=AA-Y3 */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Y); */ -fe_sub(r->X,t0,r->Y); - -/* qhasm: T3=B-Z3 */ -/* asm 1: fe_sub(>T3=fe#4,T3=r->T,T,Z); */ -fe_sub(r->T,r->T,r->Z); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.q deleted file mode 100644 index 170d42f9a..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.q +++ /dev/null @@ -1,41 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_sq2(>h,h=fe:asm/fe_add(>h,X); - fe_1(h->Y); - fe_1(h->Z); - fe_0(h->T); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_dbl.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_dbl.c deleted file mode 100644 index 0d8a05915..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_dbl.c +++ /dev/null @@ -1,12 +0,0 @@ -#include "ge.h" - -/* -r = 2 * p -*/ - -void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p) -{ - ge_p2 q; - ge_p3_to_p2(&q,p); - ge_p2_dbl(r,&q); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_cached.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_cached.c deleted file mode 100644 index bde64228c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_cached.c +++ /dev/null @@ -1,17 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -static const fe d2 = { -#include "d2.h" -} ; - -extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p) -{ - fe_add(r->YplusX,p->Y,p->X); - fe_sub(r->YminusX,p->Y,p->X); - fe_copy(r->Z,p->Z); - fe_mul(r->T2d,p->T,d2); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_p2.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_p2.c deleted file mode 100644 index e532a9e4c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_p2.c +++ /dev/null @@ -1,12 +0,0 @@ -#include "ge.h" - -/* -r = p -*/ - -extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p) -{ - fe_copy(r->X,p->X); - fe_copy(r->Y,p->Y); - fe_copy(r->Z,p->Z); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_tobytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_tobytes.c deleted file mode 100644 index 21cb2fc65..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_tobytes.c +++ /dev/null @@ -1,14 +0,0 @@ -#include "ge.h" - -void ge_p3_tobytes(unsigned char *s,const ge_p3 *h) -{ - fe recip; - fe x; - fe y; - - fe_invert(recip,h->Z); - fe_mul(x,h->X,recip); - fe_mul(y,h->Y,recip); - fe_tobytes(s,y); - s[31] ^= fe_isnegative(x) << 7; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_precomp_0.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_precomp_0.c deleted file mode 100644 index 2e218861d..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_precomp_0.c +++ /dev/null @@ -1,8 +0,0 @@ -#include "ge.h" - -void ge_precomp_0(ge_precomp *h) -{ - fe_1(h->yplusx); - fe_1(h->yminusx); - fe_0(h->xy2d); -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_scalarmult_base.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_scalarmult_base.c deleted file mode 100644 index 421e4fa0f..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_scalarmult_base.c +++ /dev/null @@ -1,105 +0,0 @@ -#include "ge.h" -#include "crypto_uint32.h" - -static unsigned char equal(signed char b,signed char c) -{ - unsigned char ub = b; - unsigned char uc = c; - unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ - crypto_uint32 y = x; /* 0: yes; 1..255: no */ - y -= 1; /* 4294967295: yes; 0..254: no */ - y >>= 31; /* 1: yes; 0: no */ - return y; -} - -static unsigned char negative(signed char b) -{ - unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ - x >>= 63; /* 1: yes; 0: no */ - return x; -} - -static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b) -{ - fe_cmov(t->yplusx,u->yplusx,b); - fe_cmov(t->yminusx,u->yminusx,b); - fe_cmov(t->xy2d,u->xy2d,b); -} - -/* base[i][j] = (j+1)*256^i*B */ -static ge_precomp base[32][8] = { -#include "base.h" -} ; - -static void select(ge_precomp *t,int pos,signed char b) -{ - ge_precomp minust; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - - ge_precomp_0(t); - cmov(t,&base[pos][0],equal(babs,1)); - cmov(t,&base[pos][1],equal(babs,2)); - cmov(t,&base[pos][2],equal(babs,3)); - cmov(t,&base[pos][3],equal(babs,4)); - cmov(t,&base[pos][4],equal(babs,5)); - cmov(t,&base[pos][5],equal(babs,6)); - cmov(t,&base[pos][6],equal(babs,7)); - cmov(t,&base[pos][7],equal(babs,8)); - fe_copy(minust.yplusx,t->yminusx); - fe_copy(minust.yminusx,t->yplusx); - fe_neg(minust.xy2d,t->xy2d); - cmov(t,&minust,bnegative); -} - -/* -h = a * B -where a = a[0]+256*a[1]+...+256^31 a[31] -B is the Ed25519 base point (x,4/5) with x positive. - -Preconditions: - a[31] <= 127 -*/ - -void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) -{ - signed char e[64]; - signed char carry; - ge_p1p1 r; - ge_p2 s; - ge_precomp t; - int i; - - for (i = 0;i < 32;++i) { - e[2 * i + 0] = (a[i] >> 0) & 15; - e[2 * i + 1] = (a[i] >> 4) & 15; - } - /* each e[i] is between 0 and 15 */ - /* e[63] is between 0 and 7 */ - - carry = 0; - for (i = 0;i < 63;++i) { - e[i] += carry; - carry = e[i] + 8; - carry >>= 4; - e[i] -= carry << 4; - } - e[63] += carry; - /* each e[i] is between -8 and 8 */ - - ge_p3_0(h); - for (i = 1;i < 64;i += 2) { - select(&t,i / 2,e[i]); - ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); - } - - ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); - ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r); - - for (i = 0;i < 64;i += 2) { - select(&t,i / 2,e[i]); - ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); - } -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.c deleted file mode 100644 index 69f3d5406..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.c +++ /dev/null @@ -1,11 +0,0 @@ -#include "ge.h" - -/* -r = p - q -*/ - -void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; -#include "ge_sub.h" -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.h deleted file mode 100644 index b4ef1f5dd..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.h +++ /dev/null @@ -1,97 +0,0 @@ - -/* qhasm: enter ge_sub */ - -/* qhasm: fe X1 */ - -/* qhasm: fe Y1 */ - -/* qhasm: fe Z1 */ - -/* qhasm: fe Z2 */ - -/* qhasm: fe T1 */ - -/* qhasm: fe ZZ */ - -/* qhasm: fe YpX2 */ - -/* qhasm: fe YmX2 */ - -/* qhasm: fe T2d2 */ - -/* qhasm: fe X3 */ - -/* qhasm: fe Y3 */ - -/* qhasm: fe Z3 */ - -/* qhasm: fe T3 */ - -/* qhasm: fe YpX1 */ - -/* qhasm: fe YmX1 */ - -/* qhasm: fe A */ - -/* qhasm: fe B */ - -/* qhasm: fe C */ - -/* qhasm: fe D */ - -/* qhasm: YpX1 = Y1+X1 */ -/* asm 1: fe_add(>YpX1=fe#1,YpX1=r->X,Y,X); */ -fe_add(r->X,p->Y,p->X); - -/* qhasm: YmX1 = Y1-X1 */ -/* asm 1: fe_sub(>YmX1=fe#2,YmX1=r->Y,Y,X); */ -fe_sub(r->Y,p->Y,p->X); - -/* qhasm: A = YpX1*YmX2 */ -/* asm 1: fe_mul(>A=fe#3,A=r->Z,X,YminusX); */ -fe_mul(r->Z,r->X,q->YminusX); - -/* qhasm: B = YmX1*YpX2 */ -/* asm 1: fe_mul(>B=fe#2,B=r->Y,Y,YplusX); */ -fe_mul(r->Y,r->Y,q->YplusX); - -/* qhasm: C = T2d2*T1 */ -/* asm 1: fe_mul(>C=fe#4,C=r->T,T2d,T); */ -fe_mul(r->T,q->T2d,p->T); - -/* qhasm: ZZ = Z1*Z2 */ -/* asm 1: fe_mul(>ZZ=fe#1,ZZ=r->X,Z,Z); */ -fe_mul(r->X,p->Z,q->Z); - -/* qhasm: D = 2*ZZ */ -/* asm 1: fe_add(>D=fe#5,D=t0,X,X); */ -fe_add(t0,r->X,r->X); - -/* qhasm: X3 = A-B */ -/* asm 1: fe_sub(>X3=fe#1,X3=r->X,Z,Y); */ -fe_sub(r->X,r->Z,r->Y); - -/* qhasm: Y3 = A+B */ -/* asm 1: fe_add(>Y3=fe#2,Y3=r->Y,Z,Y); */ -fe_add(r->Y,r->Z,r->Y); - -/* qhasm: Z3 = D-C */ -/* asm 1: fe_sub(>Z3=fe#3,Z3=r->Z,T); */ -fe_sub(r->Z,t0,r->T); - -/* qhasm: T3 = D+C */ -/* asm 1: fe_add(>T3=fe#4,T3=r->T,T); */ -fe_add(r->T,t0,r->T); - -/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.q deleted file mode 100644 index 2779a4a20..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.q +++ /dev/null @@ -1,49 +0,0 @@ -:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: -fe r:var/r=fe: - -enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: -return:nofallthrough:h=fe:asm/fe_add(>h,h=fe:asm/fe_sub(>h,h=fe:asm/fe_mul(>h,h=fe:asm/fe_sq(>h,h=fe:asm/fe_add(>h,Z); - fe_mul(x,h->X,recip); - fe_mul(y,h->Y,recip); - fe_tobytes(s,y); - s[31] ^= fe_isnegative(x) << 7; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/keypair.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/keypair.c deleted file mode 100644 index ac6cea2b7..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/keypair.c +++ /dev/null @@ -1,23 +0,0 @@ -#include -#include "randombytes.h" -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "ge.h" - -int crypto_sign_keypair(unsigned char *pk,unsigned char *sk) -{ - unsigned char az[64]; - ge_p3 A; - - randombytes(sk,32); - crypto_hash_sha512(az,sk,32); - az[0] &= 248; - az[31] &= 63; - az[31] |= 64; - - ge_scalarmult_base(&A,az); - ge_p3_tobytes(pk,&A); - - memmove(sk + 32,pk,32); - return 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/open.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/open.c deleted file mode 100644 index 1ec4cd2bf..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/open.c +++ /dev/null @@ -1,48 +0,0 @@ -#include -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "crypto_verify_32.h" -#include "ge.h" -#include "sc.h" - -int crypto_sign_open( - unsigned char *m,unsigned long long *mlen, - const unsigned char *sm,unsigned long long smlen, - const unsigned char *pk -) -{ - unsigned char pkcopy[32]; - unsigned char rcopy[32]; - unsigned char scopy[32]; - unsigned char h[64]; - unsigned char rcheck[32]; - ge_p3 A; - ge_p2 R; - - if (smlen < 64) goto badsig; - if (sm[63] & 224) goto badsig; - if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig; - - memmove(pkcopy,pk,32); - memmove(rcopy,sm,32); - memmove(scopy,sm + 32,32); - - memmove(m,sm,smlen); - memmove(m + 32,pkcopy,32); - crypto_hash_sha512(h,m,smlen); - sc_reduce(h); - - ge_double_scalarmult_vartime(&R,h,&A,scopy); - ge_tobytes(rcheck,&R); - if (crypto_verify_32(rcheck,rcopy) == 0) { - memmove(m,m + 64,smlen - 64); - memset(m + smlen - 64,0,64); - *mlen = smlen - 64; - return 0; - } - -badsig: - *mlen = -1; - memset(m,0,smlen); - return -1; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.h deleted file mode 100644 index 60ffe0d34..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.h +++ /dev/null @@ -1,160 +0,0 @@ - -/* qhasm: fe z1 */ - -/* qhasm: fe z2 */ - -/* qhasm: fe z8 */ - -/* qhasm: fe z9 */ - -/* qhasm: fe z11 */ - -/* qhasm: fe z22 */ - -/* qhasm: fe z_5_0 */ - -/* qhasm: fe z_10_5 */ - -/* qhasm: fe z_10_0 */ - -/* qhasm: fe z_20_10 */ - -/* qhasm: fe z_20_0 */ - -/* qhasm: fe z_40_20 */ - -/* qhasm: fe z_40_0 */ - -/* qhasm: fe z_50_10 */ - -/* qhasm: fe z_50_0 */ - -/* qhasm: fe z_100_50 */ - -/* qhasm: fe z_100_0 */ - -/* qhasm: fe z_200_100 */ - -/* qhasm: fe z_200_0 */ - -/* qhasm: fe z_250_50 */ - -/* qhasm: fe z_250_0 */ - -/* qhasm: fe z_252_2 */ - -/* qhasm: fe z_252_3 */ - -/* qhasm: enter pow22523 */ - -/* qhasm: z2 = z1^2^1 */ -/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ -/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ -fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z8 = z2^2^2 */ -/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ -/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ -fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); - -/* qhasm: z9 = z1*z8 */ -/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#1,z22=fe#1,>z22=fe#1); */ -/* asm 2: fe_sq(>z22=t0,z22=t0,>z22=t0); */ -fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z_5_0 = z9*z22 */ -/* asm 1: fe_mul(>z_5_0=fe#1,z_5_0=t0,z_10_5=fe#2,z_10_5=fe#2,>z_10_5=fe#2); */ -/* asm 2: fe_sq(>z_10_5=t1,z_10_5=t1,>z_10_5=t1); */ -fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); - -/* qhasm: z_10_0 = z_10_5*z_5_0 */ -/* asm 1: fe_mul(>z_10_0=fe#1,z_10_0=t0,z_20_10=fe#2,z_20_10=fe#2,>z_20_10=fe#2); */ -/* asm 2: fe_sq(>z_20_10=t1,z_20_10=t1,>z_20_10=t1); */ -fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); - -/* qhasm: z_20_0 = z_20_10*z_10_0 */ -/* asm 1: fe_mul(>z_20_0=fe#2,z_20_0=t1,z_40_20=fe#3,z_40_20=fe#3,>z_40_20=fe#3); */ -/* asm 2: fe_sq(>z_40_20=t2,z_40_20=t2,>z_40_20=t2); */ -fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); - -/* qhasm: z_40_0 = z_40_20*z_20_0 */ -/* asm 1: fe_mul(>z_40_0=fe#2,z_40_0=t1,z_50_10=fe#2,z_50_10=fe#2,>z_50_10=fe#2); */ -/* asm 2: fe_sq(>z_50_10=t1,z_50_10=t1,>z_50_10=t1); */ -fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); - -/* qhasm: z_50_0 = z_50_10*z_10_0 */ -/* asm 1: fe_mul(>z_50_0=fe#1,z_50_0=t0,z_100_50=fe#2,z_100_50=fe#2,>z_100_50=fe#2); */ -/* asm 2: fe_sq(>z_100_50=t1,z_100_50=t1,>z_100_50=t1); */ -fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); - -/* qhasm: z_100_0 = z_100_50*z_50_0 */ -/* asm 1: fe_mul(>z_100_0=fe#2,z_100_0=t1,z_200_100=fe#3,z_200_100=fe#3,>z_200_100=fe#3); */ -/* asm 2: fe_sq(>z_200_100=t2,z_200_100=t2,>z_200_100=t2); */ -fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); - -/* qhasm: z_200_0 = z_200_100*z_100_0 */ -/* asm 1: fe_mul(>z_200_0=fe#2,z_200_0=t1,z_250_50=fe#2,z_250_50=fe#2,>z_250_50=fe#2); */ -/* asm 2: fe_sq(>z_250_50=t1,z_250_50=t1,>z_250_50=t1); */ -fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); - -/* qhasm: z_250_0 = z_250_50*z_50_0 */ -/* asm 1: fe_mul(>z_250_0=fe#1,z_250_0=t0,z_252_2=fe#1,z_252_2=fe#1,>z_252_2=fe#1); */ -/* asm 2: fe_sq(>z_252_2=t0,z_252_2=t0,>z_252_2=t0); */ -fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); - -/* qhasm: z_252_3 = z_252_2*z1 */ -/* asm 1: fe_mul(>z_252_3=fe#12,z_252_3=out,z1=fe#11: -return:nofallthrough:h=fe:asm/fe_mul(>h,h=fe:#k:asm/fe_sq(>h,h,>h);: - -: - -fe z1 -fe z2 -fe z8 -fe z9 -fe z11 -fe z22 -fe z_5_0 -fe z_10_5 -fe z_10_0 -fe z_20_10 -fe z_20_0 -fe z_40_20 -fe z_40_0 -fe z_50_10 -fe z_50_0 -fe z_100_50 -fe z_100_0 -fe z_200_100 -fe z_200_0 -fe z_250_50 -fe z_250_0 -fe z_252_2 -fe z_252_3 - -enter pow22523 - -z2 = z1^2^1 -z8 = z2^2^2 -z9 = z1*z8 -z11 = z2*z9 -z22 = z11^2^1 -z_5_0 = z9*z22 -z_10_5 = z_5_0^2^5 -z_10_0 = z_10_5*z_5_0 -z_20_10 = z_10_0^2^10 -z_20_0 = z_20_10*z_10_0 -z_40_20 = z_20_0^2^20 -z_40_0 = z_40_20*z_20_0 -z_50_10 = z_40_0^2^10 -z_50_0 = z_50_10*z_10_0 -z_100_50 = z_50_0^2^50 -z_100_0 = z_100_50*z_50_0 -z_200_100 = z_100_0^2^100 -z_200_0 = z_200_100*z_100_0 -z_250_50 = z_200_0^2^50 -z_250_0 = z_250_50*z_50_0 -z_252_2 = z_250_0^2^2 -z_252_3 = z_252_2*z1 - -return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.h deleted file mode 100644 index 109df779a..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.h +++ /dev/null @@ -1,160 +0,0 @@ - -/* qhasm: fe z1 */ - -/* qhasm: fe z2 */ - -/* qhasm: fe z8 */ - -/* qhasm: fe z9 */ - -/* qhasm: fe z11 */ - -/* qhasm: fe z22 */ - -/* qhasm: fe z_5_0 */ - -/* qhasm: fe z_10_5 */ - -/* qhasm: fe z_10_0 */ - -/* qhasm: fe z_20_10 */ - -/* qhasm: fe z_20_0 */ - -/* qhasm: fe z_40_20 */ - -/* qhasm: fe z_40_0 */ - -/* qhasm: fe z_50_10 */ - -/* qhasm: fe z_50_0 */ - -/* qhasm: fe z_100_50 */ - -/* qhasm: fe z_100_0 */ - -/* qhasm: fe z_200_100 */ - -/* qhasm: fe z_200_0 */ - -/* qhasm: fe z_250_50 */ - -/* qhasm: fe z_250_0 */ - -/* qhasm: fe z_255_5 */ - -/* qhasm: fe z_255_21 */ - -/* qhasm: enter pow225521 */ - -/* qhasm: z2 = z1^2^1 */ -/* asm 1: fe_sq(>z2=fe#1,z2=fe#1,>z2=fe#1); */ -/* asm 2: fe_sq(>z2=t0,z2=t0,>z2=t0); */ -fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); - -/* qhasm: z8 = z2^2^2 */ -/* asm 1: fe_sq(>z8=fe#2,z8=fe#2,>z8=fe#2); */ -/* asm 2: fe_sq(>z8=t1,z8=t1,>z8=t1); */ -fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); - -/* qhasm: z9 = z1*z8 */ -/* asm 1: fe_mul(>z9=fe#2,z9=t1,z11=fe#1,z11=t0,z22=fe#3,z22=fe#3,>z22=fe#3); */ -/* asm 2: fe_sq(>z22=t2,z22=t2,>z22=t2); */ -fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); - -/* qhasm: z_5_0 = z9*z22 */ -/* asm 1: fe_mul(>z_5_0=fe#2,z_5_0=t1,z_10_5=fe#3,z_10_5=fe#3,>z_10_5=fe#3); */ -/* asm 2: fe_sq(>z_10_5=t2,z_10_5=t2,>z_10_5=t2); */ -fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); - -/* qhasm: z_10_0 = z_10_5*z_5_0 */ -/* asm 1: fe_mul(>z_10_0=fe#2,z_10_0=t1,z_20_10=fe#3,z_20_10=fe#3,>z_20_10=fe#3); */ -/* asm 2: fe_sq(>z_20_10=t2,z_20_10=t2,>z_20_10=t2); */ -fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); - -/* qhasm: z_20_0 = z_20_10*z_10_0 */ -/* asm 1: fe_mul(>z_20_0=fe#3,z_20_0=t2,z_40_20=fe#4,z_40_20=fe#4,>z_40_20=fe#4); */ -/* asm 2: fe_sq(>z_40_20=t3,z_40_20=t3,>z_40_20=t3); */ -fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); - -/* qhasm: z_40_0 = z_40_20*z_20_0 */ -/* asm 1: fe_mul(>z_40_0=fe#3,z_40_0=t2,z_50_10=fe#3,z_50_10=fe#3,>z_50_10=fe#3); */ -/* asm 2: fe_sq(>z_50_10=t2,z_50_10=t2,>z_50_10=t2); */ -fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); - -/* qhasm: z_50_0 = z_50_10*z_10_0 */ -/* asm 1: fe_mul(>z_50_0=fe#2,z_50_0=t1,z_100_50=fe#3,z_100_50=fe#3,>z_100_50=fe#3); */ -/* asm 2: fe_sq(>z_100_50=t2,z_100_50=t2,>z_100_50=t2); */ -fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); - -/* qhasm: z_100_0 = z_100_50*z_50_0 */ -/* asm 1: fe_mul(>z_100_0=fe#3,z_100_0=t2,z_200_100=fe#4,z_200_100=fe#4,>z_200_100=fe#4); */ -/* asm 2: fe_sq(>z_200_100=t3,z_200_100=t3,>z_200_100=t3); */ -fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); - -/* qhasm: z_200_0 = z_200_100*z_100_0 */ -/* asm 1: fe_mul(>z_200_0=fe#3,z_200_0=t2,z_250_50=fe#3,z_250_50=fe#3,>z_250_50=fe#3); */ -/* asm 2: fe_sq(>z_250_50=t2,z_250_50=t2,>z_250_50=t2); */ -fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); - -/* qhasm: z_250_0 = z_250_50*z_50_0 */ -/* asm 1: fe_mul(>z_250_0=fe#2,z_250_0=t1,z_255_5=fe#2,z_255_5=fe#2,>z_255_5=fe#2); */ -/* asm 2: fe_sq(>z_255_5=t1,z_255_5=t1,>z_255_5=t1); */ -fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); - -/* qhasm: z_255_21 = z_255_5*z11 */ -/* asm 1: fe_mul(>z_255_21=fe#12,z_255_21=out,z1=fe#11: -return:nofallthrough:h=fe:asm/fe_mul(>h,h=fe:#k:asm/fe_sq(>h,h,>h);: - -: - -fe z1 -fe z2 -fe z8 -fe z9 -fe z11 -fe z22 -fe z_5_0 -fe z_10_5 -fe z_10_0 -fe z_20_10 -fe z_20_0 -fe z_40_20 -fe z_40_0 -fe z_50_10 -fe z_50_0 -fe z_100_50 -fe z_100_0 -fe z_200_100 -fe z_200_0 -fe z_250_50 -fe z_250_0 -fe z_255_5 -fe z_255_21 - -enter pow225521 - -z2 = z1^2^1 -z8 = z2^2^2 -z9 = z1*z8 -z11 = z2*z9 -z22 = z11^2^1 -z_5_0 = z9*z22 -z_10_5 = z_5_0^2^5 -z_10_0 = z_10_5*z_5_0 -z_20_10 = z_10_0^2^10 -z_20_0 = z_20_10*z_10_0 -z_40_20 = z_20_0^2^20 -z_40_0 = z_40_20*z_20_0 -z_50_10 = z_40_0^2^10 -z_50_0 = z_50_10*z_10_0 -z_100_50 = z_50_0^2^50 -z_100_0 = z_100_50*z_50_0 -z_200_100 = z_100_0^2^100 -z_200_0 = z_200_100*z_100_0 -z_250_50 = z_200_0^2^50 -z_250_0 = z_250_50*z_50_0 -z_255_5 = z_250_0^2^5 -z_255_21 = z_255_5*z11 - -return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/q2h.sh b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/q2h.sh deleted file mode 100644 index 47ec5110e..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/q2h.sh +++ /dev/null @@ -1,4 +0,0 @@ -#!/bin/sh -sed 's/^#.*//' \ -| qhasm-generic \ -| sed 's_//\(.*\)$_/*\1 */_' diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc.h deleted file mode 100644 index d32ed2e8c..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc.h +++ /dev/null @@ -1,15 +0,0 @@ -#ifndef SC_H -#define SC_H - -/* -The set of scalars is \Z/l -where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -#define sc_reduce crypto_sign_ed25519_ref10_sc_reduce -#define sc_muladd crypto_sign_ed25519_ref10_sc_muladd - -extern void sc_reduce(unsigned char *); -extern void sc_muladd(unsigned char *,const unsigned char *,const unsigned char *,const unsigned char *); - -#endif diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_muladd.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_muladd.c deleted file mode 100644 index 6f1e9d02d..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_muladd.c +++ /dev/null @@ -1,368 +0,0 @@ -#include "sc.h" -#include "crypto_int64.h" -#include "crypto_uint32.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -/* -Input: - a[0]+256*a[1]+...+256^31*a[31] = a - b[0]+256*b[1]+...+256^31*b[31] = b - c[0]+256*c[1]+...+256^31*c[31] = c - -Output: - s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l - where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c) -{ - crypto_int64 a0 = 2097151 & load_3(a); - crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5); - crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2); - crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7); - crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4); - crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1); - crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6); - crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3); - crypto_int64 a8 = 2097151 & load_3(a + 21); - crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5); - crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2); - crypto_int64 a11 = (load_4(a + 28) >> 7); - crypto_int64 b0 = 2097151 & load_3(b); - crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5); - crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2); - crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7); - crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4); - crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1); - crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6); - crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3); - crypto_int64 b8 = 2097151 & load_3(b + 21); - crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5); - crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2); - crypto_int64 b11 = (load_4(b + 28) >> 7); - crypto_int64 c0 = 2097151 & load_3(c); - crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5); - crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2); - crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7); - crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4); - crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1); - crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6); - crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3); - crypto_int64 c8 = 2097151 & load_3(c + 21); - crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5); - crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2); - crypto_int64 c11 = (load_4(c + 28) >> 7); - crypto_int64 s0; - crypto_int64 s1; - crypto_int64 s2; - crypto_int64 s3; - crypto_int64 s4; - crypto_int64 s5; - crypto_int64 s6; - crypto_int64 s7; - crypto_int64 s8; - crypto_int64 s9; - crypto_int64 s10; - crypto_int64 s11; - crypto_int64 s12; - crypto_int64 s13; - crypto_int64 s14; - crypto_int64 s15; - crypto_int64 s16; - crypto_int64 s17; - crypto_int64 s18; - crypto_int64 s19; - crypto_int64 s20; - crypto_int64 s21; - crypto_int64 s22; - crypto_int64 s23; - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - crypto_int64 carry10; - crypto_int64 carry11; - crypto_int64 carry12; - crypto_int64 carry13; - crypto_int64 carry14; - crypto_int64 carry15; - crypto_int64 carry16; - crypto_int64 carry17; - crypto_int64 carry18; - crypto_int64 carry19; - crypto_int64 carry20; - crypto_int64 carry21; - crypto_int64 carry22; - - s0 = c0 + a0*b0; - s1 = c1 + a0*b1 + a1*b0; - s2 = c2 + a0*b2 + a1*b1 + a2*b0; - s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0; - s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0; - s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0; - s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0; - s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0; - s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0; - s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0; - s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0; - s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0; - s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1; - s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2; - s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3; - s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4; - s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5; - s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6; - s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7; - s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8; - s20 = a9*b11 + a10*b10 + a11*b9; - s21 = a10*b11 + a11*b10; - s22 = a11*b11; - s23 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; - carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; - carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; - carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; - carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_reduce.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_reduce.c deleted file mode 100644 index d01f5a573..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_reduce.c +++ /dev/null @@ -1,275 +0,0 @@ -#include "sc.h" -#include "crypto_int64.h" -#include "crypto_uint32.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -/* -Input: - s[0]+256*s[1]+...+256^63*s[63] = s - -Output: - s[0]+256*s[1]+...+256^31*s[31] = s mod l - where l = 2^252 + 27742317777372353535851937790883648493. - Overwrites s in place. -*/ - -void sc_reduce(unsigned char *s) -{ - crypto_int64 s0 = 2097151 & load_3(s); - crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5); - crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2); - crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7); - crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4); - crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1); - crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6); - crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3); - crypto_int64 s8 = 2097151 & load_3(s + 21); - crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5); - crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2); - crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7); - crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4); - crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1); - crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6); - crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3); - crypto_int64 s16 = 2097151 & load_3(s + 42); - crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5); - crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2); - crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7); - crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4); - crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1); - crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6); - crypto_int64 s23 = (load_4(s + 60) >> 3); - crypto_int64 carry0; - crypto_int64 carry1; - crypto_int64 carry2; - crypto_int64 carry3; - crypto_int64 carry4; - crypto_int64 carry5; - crypto_int64 carry6; - crypto_int64 carry7; - crypto_int64 carry8; - crypto_int64 carry9; - crypto_int64 carry10; - crypto_int64 carry11; - crypto_int64 carry12; - crypto_int64 carry13; - crypto_int64 carry14; - crypto_int64 carry15; - crypto_int64 carry16; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - s23 = 0; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - s22 = 0; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - s21 = 0; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - s20 = 0; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - s19 = 0; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - s18 = 0; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - s17 = 0; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - s16 = 0; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - s15 = 0; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - s14 = 0; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - s13 = 0; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_sub.xmr.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_sub.xmr.c deleted file mode 100644 index cd4a50ff0..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_sub.xmr.c +++ /dev/null @@ -1,504 +0,0 @@ -/* - * sc_sub, sc_mulsub, sc_mul - * - * (These are from the old code as well) - */ - - -#include "sc.h" -#include "crypto_int64.h" -#include "crypto_uint32.h" -#include "crypto_uint64.h" - -static crypto_uint64 load_3(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - return result; -} - -static crypto_uint64 load_4(const unsigned char *in) -{ - crypto_uint64 result; - result = (crypto_uint64) in[0]; - result |= ((crypto_uint64) in[1]) << 8; - result |= ((crypto_uint64) in[2]) << 16; - result |= ((crypto_uint64) in[3]) << 24; - return result; -} - -void sc_sub(unsigned char *s, const unsigned char *a, const unsigned char *b) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t s0 = a0 - b0; - int64_t s1 = a1 - b1; - int64_t s2 = a2 - b2; - int64_t s3 = a3 - b3; - int64_t s4 = a4 - b4; - int64_t s5 = a5 - b5; - int64_t s6 = a6 - b6; - int64_t s7 = a7 - b7; - int64_t s8 = a8 - b8; - int64_t s9 = a9 - b9; - int64_t s10 = a10 - b10; - int64_t s11 = a11 - b11; - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -/* -Input: - a[0]+256*a[1]+...+256^31*a[31] = a - b[0]+256*b[1]+...+256^31*b[31] = b - c[0]+256*c[1]+...+256^31*c[31] = c - -Output: - s[0]+256*s[1]+...+256^31*s[31] = (c-ab) mod l - where l = 2^252 + 27742317777372353535851937790883648493. -*/ - -//x -void sc_mulsub(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t c0 = 2097151 & load_3(c); - int64_t c1 = 2097151 & (load_4(c + 2) >> 5); - int64_t c2 = 2097151 & (load_3(c + 5) >> 2); - int64_t c3 = 2097151 & (load_4(c + 7) >> 7); - int64_t c4 = 2097151 & (load_4(c + 10) >> 4); - int64_t c5 = 2097151 & (load_3(c + 13) >> 1); - int64_t c6 = 2097151 & (load_4(c + 15) >> 6); - int64_t c7 = 2097151 & (load_3(c + 18) >> 3); - int64_t c8 = 2097151 & load_3(c + 21); - int64_t c9 = 2097151 & (load_4(c + 23) >> 5); - int64_t c10 = 2097151 & (load_3(c + 26) >> 2); - int64_t c11 = (load_4(c + 28) >> 7); - int64_t s0; - int64_t s1; - int64_t s2; - int64_t s3; - int64_t s4; - int64_t s5; - int64_t s6; - int64_t s7; - int64_t s8; - int64_t s9; - int64_t s10; - int64_t s11; - int64_t s12; - int64_t s13; - int64_t s14; - int64_t s15; - int64_t s16; - int64_t s17; - int64_t s18; - int64_t s19; - int64_t s20; - int64_t s21; - int64_t s22; - int64_t s23; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - int64_t carry12; - int64_t carry13; - int64_t carry14; - int64_t carry15; - int64_t carry16; - int64_t carry17; - int64_t carry18; - int64_t carry19; - int64_t carry20; - int64_t carry21; - int64_t carry22; - - s0 = c0 - a0*b0; - s1 = c1 - (a0*b1 + a1*b0); - s2 = c2 - (a0*b2 + a1*b1 + a2*b0); - s3 = c3 - (a0*b3 + a1*b2 + a2*b1 + a3*b0); - s4 = c4 - (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0); - s5 = c5 - (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0); - s6 = c6 - (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0); - s7 = c7 - (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0); - s8 = c8 - (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0); - s9 = c9 - (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0); - s10 = c10 - (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0); - s11 = c11 - (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0); - s12 = -(a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1); - s13 = -(a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2); - s14 = -(a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3); - s15 = -(a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4); - s16 = -(a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5); - s17 = -(a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6); - s18 = -(a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7); - s19 = -(a8*b11 + a9*b10 + a10*b9 + a11*b8); - s20 = -(a9*b11 + a10*b10 + a11*b9); - s21 = -(a10*b11 + a11*b10); - s22 = -a11*b11; - s23 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; - carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; - carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; - carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; - carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; - - s11 += s23 * 666643; - s12 += s23 * 470296; - s13 += s23 * 654183; - s14 -= s23 * 997805; - s15 += s23 * 136657; - s16 -= s23 * 683901; - - s10 += s22 * 666643; - s11 += s22 * 470296; - s12 += s22 * 654183; - s13 -= s22 * 997805; - s14 += s22 * 136657; - s15 -= s22 * 683901; - - s9 += s21 * 666643; - s10 += s21 * 470296; - s11 += s21 * 654183; - s12 -= s21 * 997805; - s13 += s21 * 136657; - s14 -= s21 * 683901; - - s8 += s20 * 666643; - s9 += s20 * 470296; - s10 += s20 * 654183; - s11 -= s20 * 997805; - s12 += s20 * 136657; - s13 -= s20 * 683901; - - s7 += s19 * 666643; - s8 += s19 * 470296; - s9 += s19 * 654183; - s10 -= s19 * 997805; - s11 += s19 * 136657; - s12 -= s19 * 683901; - - s6 += s18 * 666643; - s7 += s18 * 470296; - s8 += s18 * 654183; - s9 -= s18 * 997805; - s10 += s18 * 136657; - s11 -= s18 * 683901; - - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; - carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; - carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; - - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; - carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; - - s5 += s17 * 666643; - s6 += s17 * 470296; - s7 += s17 * 654183; - s8 -= s17 * 997805; - s9 += s17 * 136657; - s10 -= s17 * 683901; - - s4 += s16 * 666643; - s5 += s16 * 470296; - s6 += s16 * 654183; - s7 -= s16 * 997805; - s8 += s16 * 136657; - s9 -= s16 * 683901; - - s3 += s15 * 666643; - s4 += s15 * 470296; - s5 += s15 * 654183; - s6 -= s15 * 997805; - s7 += s15 * 136657; - s8 -= s15 * 683901; - - s2 += s14 * 666643; - s3 += s14 * 470296; - s4 += s14 * 654183; - s5 -= s14 * 997805; - s6 += s14 * 136657; - s7 -= s14 * 683901; - - s1 += s13 * 666643; - s2 += s13 * 470296; - s3 += s13 * 654183; - s4 -= s13 * 997805; - s5 += s13 * 136657; - s6 -= s13 * 683901; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - - diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/scrap.txt b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/scrap.txt deleted file mode 100644 index 9a02605db..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/scrap.txt +++ /dev/null @@ -1,53 +0,0 @@ -#include "ge.h" - -/* -r = p + q -*/ - -void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) -{ - fe t0; - - - - - - - - - - - - - - - - - - - - - -fe_add(r->X,p->Y,p->X); - -fe_sub(r->Y,p->Y,p->X); - -fe_mul(r->Z,r->X,q->YplusX); - -fe_mul(r->Y,r->Y,q->YminusX); - -fe_mul(r->T,q->T2d,p->T); - -fe_mul(r->X,p->Z,q->Z); - -fe_add(t0,r->X,r->X); - -fe_sub(r->X,r->Z,r->Y); - -fe_add(r->Y,r->Z,r->Y); - -fe_add(r->Z,t0,r->T); - -fe_sub(r->T,t0,r->T); - -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sign.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sign.c deleted file mode 100644 index de53742a6..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sign.c +++ /dev/null @@ -1,41 +0,0 @@ -#include -#include "crypto_sign.h" -#include "crypto_hash_sha512.h" -#include "ge.h" -#include "sc.h" - -int crypto_sign( - unsigned char *sm,unsigned long long *smlen, - const unsigned char *m,unsigned long long mlen, - const unsigned char *sk -) -{ - unsigned char pk[32]; - unsigned char az[64]; - unsigned char nonce[64]; - unsigned char hram[64]; - ge_p3 R; - - memmove(pk,sk + 32,32); - - crypto_hash_sha512(az,sk,32); - az[0] &= 248; - az[31] &= 63; - az[31] |= 64; - - *smlen = mlen + 64; - memmove(sm + 64,m,mlen); - memmove(sm + 32,az + 32,32); - crypto_hash_sha512(nonce,sm + 32,mlen + 32); - memmove(sm + 32,pk,32); - - sc_reduce(nonce); - ge_scalarmult_base(&R,nonce); - ge_p3_tobytes(sm,&R); - - crypto_hash_sha512(hram,sm,mlen + 64); - sc_reduce(hram); - sc_muladd(sm + 32,hram,az,nonce); - - return 0; -} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.h deleted file mode 100644 index d8caa23b6..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.h +++ /dev/null @@ -1 +0,0 @@ --32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482 diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.py deleted file mode 100644 index 9a47fbc12..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.py +++ /dev/null @@ -1,28 +0,0 @@ -q = 2**255 - 19 - -def expmod(b,e,m): - if e == 0: return 1 - t = expmod(b,e/2,m)**2 % m - if e & 1: t = (t*b) % m - return t - -def inv(x): - return expmod(x,q-2,q) - -def radix255(x): - x = x % q - if x + x > q: x -= q - x = [x,0,0,0,0,0,0,0,0,0] - bits = [26,25,26,25,26,25,26,25,26,25] - for i in range(9): - carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] - x[i] -= carry * 2**bits[i] - x[i + 1] += carry - result = "" - for i in range(9): - result = result+str(x[i])+"," - result = result+str(x[9]) - return result - -I = expmod(2,(q-1)/4,q) -print radix255(I) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/test.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/test.py deleted file mode 100644 index 10fa408ce..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/test.py +++ /dev/null @@ -1,5 +0,0 @@ -import os -l = "(((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1;" - -os.system("sed -i 's/crypto_verify_32(s, zero)/"+l+"/' crypto-ops.c") - diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/xmrSpecificOld.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/xmrSpecificOld.c deleted file mode 100644 index e6567c120..000000000 --- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/xmrSpecificOld.c +++ /dev/null @@ -1,776 +0,0 @@ -/*Code inherited from the original cryptonote (I didn't write these) */ -/*These functions either don't exist in, or are modified from ref10*/ - - -/* From fe_isnonzero.c, modified */ - -//x -static int fe_isnonzero(const fe f) { - unsigned char s[32]; - fe_tobytes(s, f); - return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | - s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | - s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | - s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; -} - -//double scalar mult precomp -void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s) { - ge_p1p1 t; - ge_p3 s2, u; - ge_p3_to_cached(&r[0], s); - ge_p3_dbl(&t, s); ge_p1p1_to_p3(&s2, &t); - ge_add(&t, &s2, &r[0]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[1], &u); - ge_add(&t, &s2, &r[1]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[2], &u); - ge_add(&t, &s2, &r[2]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[3], &u); - ge_add(&t, &s2, &r[3]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[4], &u); - ge_add(&t, &s2, &r[4]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[5], &u); - ge_add(&t, &s2, &r[5]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[6], &u); - ge_add(&t, &s2, &r[6]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[7], &u); -} - -/* -r = a * A + b * B -where a = a[0]+256*a[1]+...+256^31 a[31]. -and b = b[0]+256*b[1]+...+256^31 b[31]. -B is the Ed25519 base point (x,4/5) with x positive. -*/ - -void ge_double_scalarmult_base_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b) { - signed char aslide[256]; - signed char bslide[256]; - ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ - ge_p1p1 t; - ge_p3 u; - int i; - - slide(aslide, a); - slide(bslide, b); - ge_dsm_precomp(Ai, A);/* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ - - ge_p2_0(r); - - for (i = 255; i >= 0; --i) { - //so this gets us to the highest i such that both have a nonzero - if (aslide[i] || bslide[i]) break; - } - - for (; i >= 0; --i) { - ge_p2_dbl(&t, r);//simple double and add - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_madd(&t, &u, &ge_Bi[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_msub(&t, &u, &ge_Bi[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r, &t); - } -} - - -/* From ge_frombytes.c, modified */ -//this is like xrecover .. -//x -int ge_frombytes_vartime(ge_p3 *h, const unsigned char *s) { - fe u; - fe v; - fe vxx; - fe check; - - /* From fe_frombytes.c */ - - int64_t h0 = load_4(s); - int64_t h1 = load_3(s + 4) << 6; - int64_t h2 = load_3(s + 7) << 5; - int64_t h3 = load_3(s + 10) << 3; - int64_t h4 = load_3(s + 13) << 2; - int64_t h5 = load_4(s + 16); - int64_t h6 = load_3(s + 20) << 7; - int64_t h7 = load_3(s + 23) << 5; - int64_t h8 = load_3(s + 26) << 4; - int64_t h9 = (load_3(s + 29) & 8388607) << 2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - /* Validate the number to be canonical */ - if (h9 == 33554428 && h8 == 268435440 && h7 == 536870880 && h6 == 2147483520 && - h5 == 4294967295 && h4 == 67108860 && h3 == 134217720 && h2 == 536870880 && - h1 == 1073741760 && h0 >= 4294967277) { - return -1; - } - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - h->Y[0] = h0; - h->Y[1] = h1; - h->Y[2] = h2; - h->Y[3] = h3; - h->Y[4] = h4; - h->Y[5] = h5; - h->Y[6] = h6; - h->Y[7] = h7; - h->Y[8] = h8; - h->Y[9] = h9; - - /* End fe_frombytes.c */ - - fe_1(h->Z); - fe_sq(u, h->Y); - fe_mul(v, u, fe_d); - fe_sub(u, u, h->Z); /* u = y^2-1 */ - fe_add(v, v, h->Z); /* v = dy^2+1 */ - - fe_divpowm1(h->X, u, v); /* x = uv^3(uv^7)^((q-5)/8) */ - - fe_sq(vxx, h->X); - fe_mul(vxx, vxx, v); - fe_sub(check, vxx, u); /* vx^2-u */ - if (fe_isnonzero(check)) { - fe_add(check, vxx, u); /* vx^2+u */ - if (fe_isnonzero(check)) { - return -1; - } - fe_mul(h->X, h->X, fe_sqrtm1); //this is mapping X to X * sqrt(-1) c.f. 3.1 in hisil, dong, etc. - } - - if (fe_isnegative(h->X) != (s[31] >> 7)) { - /* If x = 0, the sign must be positive */ - if (!fe_isnonzero(h->X)) { - return -1; - } - fe_neg(h->X, h->X); - } - - fe_mul(h->T, h->X, h->Y); - return 0; -} - -/* New code */ -/* (u / v)^(m + 1) */ -static void fe_divpowm1(fe r, const fe u, const fe v) { - fe v3, uv7, t0, t1, t2; - int i; - - fe_sq(v3, v); - fe_mul(v3, v3, v); /* v3 = v^3 */ - fe_sq(uv7, v3); - fe_mul(uv7, uv7, v); - fe_mul(uv7, uv7, u); /* uv7 = uv^7 */ - - /*fe_pow22523(uv7, uv7);*/ - - /* From fe_pow22523.c */ - - fe_sq(t0, uv7); - fe_sq(t1, t0); - fe_sq(t1, t1); - fe_mul(t1, uv7, t1); - fe_mul(t0, t0, t1); - fe_sq(t0, t0); - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 4; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 9; ++i) { - fe_sq(t1, t1); - } - fe_mul(t1, t1, t0); - fe_sq(t2, t1); - for (i = 0; i < 19; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - for (i = 0; i < 10; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t1, t0); - for (i = 0; i < 49; ++i) { - fe_sq(t1, t1); - } - fe_mul(t1, t1, t0); - fe_sq(t2, t1); - for (i = 0; i < 99; ++i) { - fe_sq(t2, t2); - } - fe_mul(t1, t2, t1); - for (i = 0; i < 50; ++i) { - fe_sq(t1, t1); - } - fe_mul(t0, t1, t0); - fe_sq(t0, t0); - fe_sq(t0, t0); - fe_mul(t0, t0, uv7); - - /* End fe_pow22523.c */ - /* t0 = (uv^7)^((q-5)/8) */ - fe_mul(t0, t0, v3); - fe_mul(r, t0, u); /* u^(m+1)v^(-(m+1)) */ -} - -static void ge_cached_0(ge_cached *r) { - fe_1(r->YplusX); - fe_1(r->YminusX); - fe_1(r->Z); - fe_0(r->T2d); -} - -static void ge_cached_cmov(ge_cached *t, const ge_cached *u, unsigned char b) { - fe_cmov(t->YplusX, u->YplusX, b); - fe_cmov(t->YminusX, u->YminusX, b); - fe_cmov(t->Z, u->Z, b); - fe_cmov(t->T2d, u->T2d, b); -} - -/* Assumes that a[31] <= 127 */ -void ge_scalarmult(ge_p2 *r, const unsigned char *a, const ge_p3 *A) { - signed char e[64]; - int carry, carry2, i; - ge_cached Ai[8]; /* 1 * A, 2 * A, ..., 8 * A */ - ge_p1p1 t; - ge_p3 u; - - carry = 0; /* 0..1 */ - for (i = 0; i < 31; i++) { - carry += a[i]; /* 0..256 */ - carry2 = (carry + 8) >> 4; /* 0..16 */ - e[2 * i] = carry - (carry2 << 4); /* -8..7 */ - carry = (carry2 + 8) >> 4; /* 0..1 */ - e[2 * i + 1] = carry2 - (carry << 4); /* -8..7 */ - } - carry += a[31]; /* 0..128 */ - carry2 = (carry + 8) >> 4; /* 0..8 */ - e[62] = carry - (carry2 << 4); /* -8..7 */ - e[63] = carry2; /* 0..8 */ - - ge_p3_to_cached(&Ai[0], A); - for (i = 0; i < 7; i++) { - ge_add(&t, A, &Ai[i]); - ge_p1p1_to_p3(&u, &t); - ge_p3_to_cached(&Ai[i + 1], &u); - } - - ge_p2_0(r); - for (i = 63; i >= 0; i--) { - signed char b = e[i]; - unsigned char bnegative = negative(b); - unsigned char babs = b - (((-bnegative) & b) << 1); - ge_cached cur, minuscur; - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p2(r, &t); - ge_p2_dbl(&t, r); - ge_p1p1_to_p3(&u, &t); - ge_cached_0(&cur); - ge_cached_cmov(&cur, &Ai[0], equal(babs, 1)); - ge_cached_cmov(&cur, &Ai[1], equal(babs, 2)); - ge_cached_cmov(&cur, &Ai[2], equal(babs, 3)); - ge_cached_cmov(&cur, &Ai[3], equal(babs, 4)); - ge_cached_cmov(&cur, &Ai[4], equal(babs, 5)); - ge_cached_cmov(&cur, &Ai[5], equal(babs, 6)); - ge_cached_cmov(&cur, &Ai[6], equal(babs, 7)); - ge_cached_cmov(&cur, &Ai[7], equal(babs, 8)); - fe_copy(minuscur.YplusX, cur.YminusX); - fe_copy(minuscur.YminusX, cur.YplusX); - fe_copy(minuscur.Z, cur.Z); - fe_neg(minuscur.T2d, cur.T2d); - ge_cached_cmov(&cur, &minuscur, bnegative); - ge_add(&t, &u, &cur); - ge_p1p1_to_p2(r, &t); - } -} - -//assume Bi has precomputed multiples -void ge_double_scalarmult_precomp_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b, const ge_dsmp Bii) { - signed char aslide[256]; - signed char bslide[256]; - ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ //precomps - ge_p1p1 t; - ge_p3 u; - int i; - - slide(aslide, a); - slide(bslide, b); - ge_dsm_precomp(Ai, A); - - ge_p2_0(r); - - for (i = 255; i >= 0; --i) { - if (aslide[i] || bslide[i]) break; - } - - for (; i >= 0; --i) { - ge_p2_dbl(&t, r); - - if (aslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Ai[aslide[i]/2]); - } else if (aslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Ai[(-aslide[i])/2]); - } - - if (bslide[i] > 0) { - ge_p1p1_to_p3(&u, &t); - ge_add(&t, &u, &Bii[bslide[i]/2]); - } else if (bslide[i] < 0) { - ge_p1p1_to_p3(&u, &t); - ge_sub(&t, &u, &Bii[(-bslide[i])/2]); - } - - ge_p1p1_to_p2(r, &t); - } -} - -//x -void ge_mul8(ge_p1p1 *r, const ge_p2 *t) { - ge_p2 u; - ge_p2_dbl(r, t); - ge_p1p1_to_p2(&u, r); - ge_p2_dbl(r, &u); - ge_p1p1_to_p2(&u, r); - ge_p2_dbl(r, &u); -} - -//x -void ge_fromfe_frombytes_vartime(ge_p2 *r, const unsigned char *s) { - fe u, v, w, x, y, z; - unsigned char sign; - - /* From fe_frombytes.c */ - - int64_t h0 = load_4(s); - int64_t h1 = load_3(s + 4) << 6; - int64_t h2 = load_3(s + 7) << 5; - int64_t h3 = load_3(s + 10) << 3; - int64_t h4 = load_3(s + 13) << 2; - int64_t h5 = load_4(s + 16); - int64_t h6 = load_3(s + 20) << 7; - int64_t h7 = load_3(s + 23) << 5; - int64_t h8 = load_3(s + 26) << 4; - int64_t h9 = load_3(s + 29) << 2; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - - carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; - carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; - carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; - carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; - carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; - - carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; - carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; - carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; - carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; - carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; - - u[0] = h0; - u[1] = h1; - u[2] = h2; - u[3] = h3; - u[4] = h4; - u[5] = h5; - u[6] = h6; - u[7] = h7; - u[8] = h8; - u[9] = h9; - - /* End fe_frombytes.c */ - - fe_sq2(v, u); /* 2 * u^2 */ - fe_1(w); - fe_add(w, v, w); /* w = 2 * u^2 + 1 */ - fe_sq(x, w); /* w^2 */ - fe_mul(y, fe_ma2, v); /* -2 * A^2 * u^2 */ - fe_add(x, x, y); /* x = w^2 - 2 * A^2 * u^2 */ - fe_divpowm1(r->X, w, x); /* (w / x)^(m + 1) */ - fe_sq(y, r->X); - fe_mul(x, y, x); - fe_sub(y, w, x); - fe_copy(z, fe_ma); - if (fe_isnonzero(y)) { - fe_add(y, w, x); - if (fe_isnonzero(y)) { - goto negative; - } else { - fe_mul(r->X, r->X, fe_fffb1); - } - } else { - fe_mul(r->X, r->X, fe_fffb2); - } - fe_mul(r->X, r->X, u); /* u * sqrt(2 * A * (A + 2) * w / x) */ - fe_mul(z, z, v); /* -2 * A * u^2 */ - sign = 0; - goto setsign; -negative: - fe_mul(x, x, fe_sqrtm1); - fe_sub(y, w, x); - if (fe_isnonzero(y)) { - assert((fe_add(y, w, x), !fe_isnonzero(y))); - fe_mul(r->X, r->X, fe_fffb3); - } else { - fe_mul(r->X, r->X, fe_fffb4); - } - /* r->X = sqrt(A * (A + 2) * w / x) */ - /* z = -A */ - sign = 1; -setsign: - if (fe_isnegative(r->X) != sign) { - assert(fe_isnonzero(r->X)); - fe_neg(r->X, r->X); - } - fe_add(r->Z, z, w); - fe_sub(r->Y, z, w); - fe_mul(r->X, r->X, r->Z); -#if !defined(NDEBUG) - { - fe check_x, check_y, check_iz, check_v; - fe_invert(check_iz, r->Z); - fe_mul(check_x, r->X, check_iz); - fe_mul(check_y, r->Y, check_iz); - fe_sq(check_x, check_x); - fe_sq(check_y, check_y); - fe_mul(check_v, check_x, check_y); - fe_mul(check_v, fe_d, check_v); - fe_add(check_v, check_v, check_x); - fe_sub(check_v, check_v, check_y); - fe_1(check_x); - fe_add(check_v, check_v, check_x); - assert(!fe_isnonzero(check_v)); - } -#endif -} - -//x -void sc_0(unsigned char *s) { - int i; - for (i = 0; i < 32; i++) { - s[i] = 0; - } -} - -//x -void sc_reduce32(unsigned char *s) { - int64_t s0 = 2097151 & load_3(s); - int64_t s1 = 2097151 & (load_4(s + 2) >> 5); - int64_t s2 = 2097151 & (load_3(s + 5) >> 2); - int64_t s3 = 2097151 & (load_4(s + 7) >> 7); - int64_t s4 = 2097151 & (load_4(s + 10) >> 4); - int64_t s5 = 2097151 & (load_3(s + 13) >> 1); - int64_t s6 = 2097151 & (load_4(s + 15) >> 6); - int64_t s7 = 2097151 & (load_3(s + 18) >> 3); - int64_t s8 = 2097151 & load_3(s + 21); - int64_t s9 = 2097151 & (load_4(s + 23) >> 5); - int64_t s10 = 2097151 & (load_3(s + 26) >> 2); - int64_t s11 = (load_4(s + 28) >> 7); - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -//x -void sc_add(unsigned char *s, const unsigned char *a, const unsigned char *b) { - int64_t a0 = 2097151 & load_3(a); - int64_t a1 = 2097151 & (load_4(a + 2) >> 5); - int64_t a2 = 2097151 & (load_3(a + 5) >> 2); - int64_t a3 = 2097151 & (load_4(a + 7) >> 7); - int64_t a4 = 2097151 & (load_4(a + 10) >> 4); - int64_t a5 = 2097151 & (load_3(a + 13) >> 1); - int64_t a6 = 2097151 & (load_4(a + 15) >> 6); - int64_t a7 = 2097151 & (load_3(a + 18) >> 3); - int64_t a8 = 2097151 & load_3(a + 21); - int64_t a9 = 2097151 & (load_4(a + 23) >> 5); - int64_t a10 = 2097151 & (load_3(a + 26) >> 2); - int64_t a11 = (load_4(a + 28) >> 7); - int64_t b0 = 2097151 & load_3(b); - int64_t b1 = 2097151 & (load_4(b + 2) >> 5); - int64_t b2 = 2097151 & (load_3(b + 5) >> 2); - int64_t b3 = 2097151 & (load_4(b + 7) >> 7); - int64_t b4 = 2097151 & (load_4(b + 10) >> 4); - int64_t b5 = 2097151 & (load_3(b + 13) >> 1); - int64_t b6 = 2097151 & (load_4(b + 15) >> 6); - int64_t b7 = 2097151 & (load_3(b + 18) >> 3); - int64_t b8 = 2097151 & load_3(b + 21); - int64_t b9 = 2097151 & (load_4(b + 23) >> 5); - int64_t b10 = 2097151 & (load_3(b + 26) >> 2); - int64_t b11 = (load_4(b + 28) >> 7); - int64_t s0 = a0 + b0; - int64_t s1 = a1 + b1; - int64_t s2 = a2 + b2; - int64_t s3 = a3 + b3; - int64_t s4 = a4 + b4; - int64_t s5 = a5 + b5; - int64_t s6 = a6 + b6; - int64_t s7 = a7 + b7; - int64_t s8 = a8 + b8; - int64_t s9 = a9 + b9; - int64_t s10 = a10 + b10; - int64_t s11 = a11 + b11; - int64_t s12 = 0; - int64_t carry0; - int64_t carry1; - int64_t carry2; - int64_t carry3; - int64_t carry4; - int64_t carry5; - int64_t carry6; - int64_t carry7; - int64_t carry8; - int64_t carry9; - int64_t carry10; - int64_t carry11; - - carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; - carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; - carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; - carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; - carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; - carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; - - carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; - carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; - carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; - carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; - carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; - carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - s12 = 0; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; - - s0 += s12 * 666643; - s1 += s12 * 470296; - s2 += s12 * 654183; - s3 -= s12 * 997805; - s4 += s12 * 136657; - s5 -= s12 * 683901; - - carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; - carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; - carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; - carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; - carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; - carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; - carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; - carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; - carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; - carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; - carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; - - s[0] = s0 >> 0; - s[1] = s0 >> 8; - s[2] = (s0 >> 16) | (s1 << 5); - s[3] = s1 >> 3; - s[4] = s1 >> 11; - s[5] = (s1 >> 19) | (s2 << 2); - s[6] = s2 >> 6; - s[7] = (s2 >> 14) | (s3 << 7); - s[8] = s3 >> 1; - s[9] = s3 >> 9; - s[10] = (s3 >> 17) | (s4 << 4); - s[11] = s4 >> 4; - s[12] = s4 >> 12; - s[13] = (s4 >> 20) | (s5 << 1); - s[14] = s5 >> 7; - s[15] = (s5 >> 15) | (s6 << 6); - s[16] = s6 >> 2; - s[17] = s6 >> 10; - s[18] = (s6 >> 18) | (s7 << 3); - s[19] = s7 >> 5; - s[20] = s7 >> 13; - s[21] = s8 >> 0; - s[22] = s8 >> 8; - s[23] = (s8 >> 16) | (s9 << 5); - s[24] = s9 >> 3; - s[25] = s9 >> 11; - s[26] = (s9 >> 19) | (s10 << 2); - s[27] = s10 >> 6; - s[28] = (s10 >> 14) | (s11 << 7); - s[29] = s11 >> 1; - s[30] = s11 >> 9; - s[31] = s11 >> 17; -} - -/* Assumes that a != INT64_MIN */ -//x c.f. lt in 32 bit ref -static int64_t signum(int64_t a) { - return (a >> 63) - ((-a) >> 63); -} - -//x -int sc_check(const unsigned char *s) { - int64_t s0 = load_4(s); - int64_t s1 = load_4(s + 4); - int64_t s2 = load_4(s + 8); - int64_t s3 = load_4(s + 12); - int64_t s4 = load_4(s + 16); - int64_t s5 = load_4(s + 20); - int64_t s6 = load_4(s + 24); - int64_t s7 = load_4(s + 28); - return (signum(1559614444 - s0) + (signum(1477600026 - s1) << 1) + (signum(2734136534 - s2) << 2) + (signum(350157278 - s3) << 3) + (signum(-s4) << 4) + (signum(-s5) << 5) + (signum(-s6) << 6) + (signum(268435456 - s7) << 7)) >> 8; -} - -//x -int sc_isnonzero(const unsigned char *s) { - return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | - s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | - s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | - s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; -} diff --git a/src/crypto/shen_ed25519_ref/sha512-blocks.c b/src/crypto/shen_ed25519_ref/sha512-blocks.c deleted file mode 100755 index c8dbf0d35..000000000 --- a/src/crypto/shen_ed25519_ref/sha512-blocks.c +++ /dev/null @@ -1,239 +0,0 @@ -//#include "crypto_hashblocks.h" - -typedef unsigned long long uint64; - -static uint64 load_bigendian(const unsigned char *x) -{ - return - (uint64) (x[7]) \ - | (((uint64) (x[6])) << 8) \ - | (((uint64) (x[5])) << 16) \ - | (((uint64) (x[4])) << 24) \ - | (((uint64) (x[3])) << 32) \ - | (((uint64) (x[2])) << 40) \ - | (((uint64) (x[1])) << 48) \ - | (((uint64) (x[0])) << 56) - ; -} - -static void store_bigendian(unsigned char *x,uint64 u) -{ - x[7] = u; u >>= 8; - x[6] = u; u >>= 8; - x[5] = u; u >>= 8; - x[4] = u; u >>= 8; - x[3] = u; u >>= 8; - x[2] = u; u >>= 8; - x[1] = u; u >>= 8; - x[0] = u; -} - -#define SHR(x,c) ((x) >> (c)) -#define ROTR(x,c) (((x) >> (c)) | ((x) << (64 - (c)))) - -#define Ch(x,y,z) ((x & y) ^ (~x & z)) -#define Maj(x,y,z) ((x & y) ^ (x & z) ^ (y & z)) -#define Sigma0(x) (ROTR(x,28) ^ ROTR(x,34) ^ ROTR(x,39)) -#define Sigma1(x) (ROTR(x,14) ^ ROTR(x,18) ^ ROTR(x,41)) -#define sigma0(x) (ROTR(x, 1) ^ ROTR(x, 8) ^ SHR(x,7)) -#define sigma1(x) (ROTR(x,19) ^ ROTR(x,61) ^ SHR(x,6)) - -#define M(w0,w14,w9,w1) w0 = sigma1(w14) + w9 + sigma0(w1) + w0; - -#define EXPAND \ - M(w0 ,w14,w9 ,w1 ) \ - M(w1 ,w15,w10,w2 ) \ - M(w2 ,w0 ,w11,w3 ) \ - M(w3 ,w1 ,w12,w4 ) \ - M(w4 ,w2 ,w13,w5 ) \ - M(w5 ,w3 ,w14,w6 ) \ - M(w6 ,w4 ,w15,w7 ) \ - M(w7 ,w5 ,w0 ,w8 ) \ - M(w8 ,w6 ,w1 ,w9 ) \ - M(w9 ,w7 ,w2 ,w10) \ - M(w10,w8 ,w3 ,w11) \ - M(w11,w9 ,w4 ,w12) \ - M(w12,w10,w5 ,w13) \ - M(w13,w11,w6 ,w14) \ - M(w14,w12,w7 ,w15) \ - M(w15,w13,w8 ,w0 ) - -#define F(w,k) \ - T1 = h + Sigma1(e) + Ch(e,f,g) + k + w; \ - T2 = Sigma0(a) + Maj(a,b,c); \ - h = g; \ - g = f; \ - f = e; \ - e = d + T1; \ - d = c; \ - c = b; \ - b = a; \ - a = T1 + T2; - -int crypto_hashblocks(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen) -{ - uint64 state[8]; - uint64 a; - uint64 b; - uint64 c; - uint64 d; - uint64 e; - uint64 f; - uint64 g; - uint64 h; - uint64 T1; - uint64 T2; - - a = load_bigendian(statebytes + 0); state[0] = a; - b = load_bigendian(statebytes + 8); state[1] = b; - c = load_bigendian(statebytes + 16); state[2] = c; - d = load_bigendian(statebytes + 24); state[3] = d; - e = load_bigendian(statebytes + 32); state[4] = e; - f = load_bigendian(statebytes + 40); state[5] = f; - g = load_bigendian(statebytes + 48); state[6] = g; - h = load_bigendian(statebytes + 56); state[7] = h; - - while (inlen >= 128) { - uint64 w0 = load_bigendian(in + 0); - uint64 w1 = load_bigendian(in + 8); - uint64 w2 = load_bigendian(in + 16); - uint64 w3 = load_bigendian(in + 24); - uint64 w4 = load_bigendian(in + 32); - uint64 w5 = load_bigendian(in + 40); - uint64 w6 = load_bigendian(in + 48); - uint64 w7 = load_bigendian(in + 56); - uint64 w8 = load_bigendian(in + 64); - uint64 w9 = load_bigendian(in + 72); - uint64 w10 = load_bigendian(in + 80); - uint64 w11 = load_bigendian(in + 88); - uint64 w12 = load_bigendian(in + 96); - uint64 w13 = load_bigendian(in + 104); - uint64 w14 = load_bigendian(in + 112); - uint64 w15 = load_bigendian(in + 120); - - F(w0 ,0x428a2f98d728ae22ULL) - F(w1 ,0x7137449123ef65cdULL) - F(w2 ,0xb5c0fbcfec4d3b2fULL) - F(w3 ,0xe9b5dba58189dbbcULL) - F(w4 ,0x3956c25bf348b538ULL) - F(w5 ,0x59f111f1b605d019ULL) - F(w6 ,0x923f82a4af194f9bULL) - F(w7 ,0xab1c5ed5da6d8118ULL) - F(w8 ,0xd807aa98a3030242ULL) - F(w9 ,0x12835b0145706fbeULL) - F(w10,0x243185be4ee4b28cULL) - F(w11,0x550c7dc3d5ffb4e2ULL) - F(w12,0x72be5d74f27b896fULL) - F(w13,0x80deb1fe3b1696b1ULL) - F(w14,0x9bdc06a725c71235ULL) - F(w15,0xc19bf174cf692694ULL) - - EXPAND - - F(w0 ,0xe49b69c19ef14ad2ULL) - F(w1 ,0xefbe4786384f25e3ULL) - F(w2 ,0x0fc19dc68b8cd5b5ULL) - F(w3 ,0x240ca1cc77ac9c65ULL) - F(w4 ,0x2de92c6f592b0275ULL) - F(w5 ,0x4a7484aa6ea6e483ULL) - F(w6 ,0x5cb0a9dcbd41fbd4ULL) - F(w7 ,0x76f988da831153b5ULL) - F(w8 ,0x983e5152ee66dfabULL) - F(w9 ,0xa831c66d2db43210ULL) - F(w10,0xb00327c898fb213fULL) - F(w11,0xbf597fc7beef0ee4ULL) - F(w12,0xc6e00bf33da88fc2ULL) - F(w13,0xd5a79147930aa725ULL) - F(w14,0x06ca6351e003826fULL) - F(w15,0x142929670a0e6e70ULL) - - EXPAND - - F(w0 ,0x27b70a8546d22ffcULL) - F(w1 ,0x2e1b21385c26c926ULL) - F(w2 ,0x4d2c6dfc5ac42aedULL) - F(w3 ,0x53380d139d95b3dfULL) - F(w4 ,0x650a73548baf63deULL) - F(w5 ,0x766a0abb3c77b2a8ULL) - F(w6 ,0x81c2c92e47edaee6ULL) - F(w7 ,0x92722c851482353bULL) - F(w8 ,0xa2bfe8a14cf10364ULL) - F(w9 ,0xa81a664bbc423001ULL) - F(w10,0xc24b8b70d0f89791ULL) - F(w11,0xc76c51a30654be30ULL) - F(w12,0xd192e819d6ef5218ULL) - F(w13,0xd69906245565a910ULL) - F(w14,0xf40e35855771202aULL) - F(w15,0x106aa07032bbd1b8ULL) - - EXPAND - - F(w0 ,0x19a4c116b8d2d0c8ULL) - F(w1 ,0x1e376c085141ab53ULL) - F(w2 ,0x2748774cdf8eeb99ULL) - F(w3 ,0x34b0bcb5e19b48a8ULL) - F(w4 ,0x391c0cb3c5c95a63ULL) - F(w5 ,0x4ed8aa4ae3418acbULL) - F(w6 ,0x5b9cca4f7763e373ULL) - F(w7 ,0x682e6ff3d6b2b8a3ULL) - F(w8 ,0x748f82ee5defb2fcULL) - F(w9 ,0x78a5636f43172f60ULL) - F(w10,0x84c87814a1f0ab72ULL) - F(w11,0x8cc702081a6439ecULL) - F(w12,0x90befffa23631e28ULL) - F(w13,0xa4506cebde82bde9ULL) - F(w14,0xbef9a3f7b2c67915ULL) - F(w15,0xc67178f2e372532bULL) - - EXPAND - - F(w0 ,0xca273eceea26619cULL) - F(w1 ,0xd186b8c721c0c207ULL) - F(w2 ,0xeada7dd6cde0eb1eULL) - F(w3 ,0xf57d4f7fee6ed178ULL) - F(w4 ,0x06f067aa72176fbaULL) - F(w5 ,0x0a637dc5a2c898a6ULL) - F(w6 ,0x113f9804bef90daeULL) - F(w7 ,0x1b710b35131c471bULL) - F(w8 ,0x28db77f523047d84ULL) - F(w9 ,0x32caab7b40c72493ULL) - F(w10,0x3c9ebe0a15c9bebcULL) - F(w11,0x431d67c49c100d4cULL) - F(w12,0x4cc5d4becb3e42b6ULL) - F(w13,0x597f299cfc657e2aULL) - F(w14,0x5fcb6fab3ad6faecULL) - F(w15,0x6c44198c4a475817ULL) - - a += state[0]; - b += state[1]; - c += state[2]; - d += state[3]; - e += state[4]; - f += state[5]; - g += state[6]; - h += state[7]; - - state[0] = a; - state[1] = b; - state[2] = c; - state[3] = d; - state[4] = e; - state[5] = f; - state[6] = g; - state[7] = h; - - in += 128; - inlen -= 128; - } - - store_bigendian(statebytes + 0,state[0]); - store_bigendian(statebytes + 8,state[1]); - store_bigendian(statebytes + 16,state[2]); - store_bigendian(statebytes + 24,state[3]); - store_bigendian(statebytes + 32,state[4]); - store_bigendian(statebytes + 40,state[5]); - store_bigendian(statebytes + 48,state[6]); - store_bigendian(statebytes + 56,state[7]); - - return inlen; -} diff --git a/src/crypto/shen_ed25519_ref/sha512-hash.c b/src/crypto/shen_ed25519_ref/sha512-hash.c deleted file mode 100755 index f2f292505..000000000 --- a/src/crypto/shen_ed25519_ref/sha512-hash.c +++ /dev/null @@ -1,72 +0,0 @@ -/* -20080913 -D. J. Bernstein -Public domain. -*/ - -#include "sha512.h" - -extern int crypto_hashblocks(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen); - -#define blocks crypto_hashblocks - -static const unsigned char iv[64] = { - 0x6a,0x09,0xe6,0x67,0xf3,0xbc,0xc9,0x08, - 0xbb,0x67,0xae,0x85,0x84,0xca,0xa7,0x3b, - 0x3c,0x6e,0xf3,0x72,0xfe,0x94,0xf8,0x2b, - 0xa5,0x4f,0xf5,0x3a,0x5f,0x1d,0x36,0xf1, - 0x51,0x0e,0x52,0x7f,0xad,0xe6,0x82,0xd1, - 0x9b,0x05,0x68,0x8c,0x2b,0x3e,0x6c,0x1f, - 0x1f,0x83,0xd9,0xab,0xfb,0x41,0xbd,0x6b, - 0x5b,0xe0,0xcd,0x19,0x13,0x7e,0x21,0x79 -} ; - -typedef unsigned long long uint64; - -int crypto_hash_sha512(unsigned char *out,const unsigned char *in,unsigned long long inlen) -{ - unsigned char h[64]; - unsigned char padded[256]; - int i; - unsigned long long bytes = inlen; - - for (i = 0;i < 64;++i) h[i] = iv[i]; - - blocks(h,in,inlen); - in += inlen; - inlen &= 127; - in -= inlen; - - for (i = 0;i < inlen;++i) padded[i] = in[i]; - padded[inlen] = 0x80; - - if (inlen < 112) { - for (i = inlen + 1;i < 119;++i) padded[i] = 0; - padded[119] = bytes >> 61; - padded[120] = bytes >> 53; - padded[121] = bytes >> 45; - padded[122] = bytes >> 37; - padded[123] = bytes >> 29; - padded[124] = bytes >> 21; - padded[125] = bytes >> 13; - padded[126] = bytes >> 5; - padded[127] = bytes << 3; - blocks(h,padded,128); - } else { - for (i = inlen + 1;i < 247;++i) padded[i] = 0; - padded[247] = bytes >> 61; - padded[248] = bytes >> 53; - padded[249] = bytes >> 45; - padded[250] = bytes >> 37; - padded[251] = bytes >> 29; - padded[252] = bytes >> 21; - padded[253] = bytes >> 13; - padded[254] = bytes >> 5; - padded[255] = bytes << 3; - blocks(h,padded,256); - } - - for (i = 0;i < 64;++i) out[i] = h[i]; - - return 0; -} diff --git a/src/crypto/shen_ed25519_ref/sha512.h b/src/crypto/shen_ed25519_ref/sha512.h deleted file mode 100755 index 37376b15d..000000000 --- a/src/crypto/shen_ed25519_ref/sha512.h +++ /dev/null @@ -1,4 +0,0 @@ -extern int crypto_hashblocks(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen); -extern int crypto_hash_sha512(unsigned char *out,const unsigned char *in,unsigned long long inlen); - -#define crypto_hash_sha512_BYTES 64 diff --git a/src/crypto/shen_ed25519_ref/verify.c b/src/crypto/shen_ed25519_ref/verify.c deleted file mode 100755 index a04186b60..000000000 --- a/src/crypto/shen_ed25519_ref/verify.c +++ /dev/null @@ -1,40 +0,0 @@ -#include "crypto_verify_32.h" - -int crypto_verify_32(const unsigned char *x,const unsigned char *y) -{ - unsigned int differentbits = 0; -#define F(i) differentbits |= x[i] ^ y[i]; - F(0) - F(1) - F(2) - F(3) - F(4) - F(5) - F(6) - F(7) - F(8) - F(9) - F(10) - F(11) - F(12) - F(13) - F(14) - F(15) - F(16) - F(17) - F(18) - F(19) - F(20) - F(21) - F(22) - F(23) - F(24) - F(25) - F(26) - F(27) - F(28) - F(29) - F(30) - F(31) - return (1 & ((differentbits - 1) >> 8)) - 1; -} -- cgit v1.2.3