174 files changed, 0 insertions, 4830 deletions

diff --git a/src/crypto/shen_ed25519_ref/Makefile b/src/crypto/crypto_ops_builder/Makefile
index 69b0d3ba3..69b0d3ba3 100755
--- a/src/crypto/shen_ed25519_ref/Makefile
+++ b/src/crypto/crypto_ops_builder/Makefile
diff --git a/src/crypto/shen_ed25519_ref/api.h b/src/crypto/crypto_ops_builder/api.h
index 60339596d..60339596d 100755
--- a/src/crypto/shen_ed25519_ref/api.h
+++ b/src/crypto/crypto_ops_builder/api.h
diff --git a/src/crypto/shen_ed25519_ref/crypto-ops-data.c b/src/crypto/crypto_ops_builder/crypto-ops-data.c
index c26abacca..c26abacca 100644
--- a/src/crypto/shen_ed25519_ref/crypto-ops-data.c
+++ b/src/crypto/crypto_ops_builder/crypto-ops-data.c
diff --git a/src/crypto/shen_ed25519_ref/crypto-ops-old.c b/src/crypto/crypto_ops_builder/crypto-ops-old.c
index 88e6c09ac..88e6c09ac 100644
--- a/src/crypto/shen_ed25519_ref/crypto-ops-old.c
+++ b/src/crypto/crypto_ops_builder/crypto-ops-old.c
diff --git a/src/crypto/shen_ed25519_ref/crypto-ops.h b/src/crypto/crypto_ops_builder/crypto-ops.h
index 6e1eb19a1..6e1eb19a1 100644
--- a/src/crypto/shen_ed25519_ref/crypto-ops.h
+++ b/src/crypto/crypto_ops_builder/crypto-ops.h
diff --git a/src/crypto/shen_ed25519_ref/crypto_int32.h b/src/crypto/crypto_ops_builder/crypto_int32.h
index cae135e6e..cae135e6e 100755
--- a/src/crypto/shen_ed25519_ref/crypto_int32.h
+++ b/src/crypto/crypto_ops_builder/crypto_int32.h
diff --git a/src/crypto/shen_ed25519_ref/crypto_sign.h b/src/crypto/crypto_ops_builder/crypto_sign.h
index afed20821..afed20821 100755
--- a/src/crypto/shen_ed25519_ref/crypto_sign.h
+++ b/src/crypto/crypto_ops_builder/crypto_sign.h
diff --git a/src/crypto/shen_ed25519_ref/crypto_uint32.h b/src/crypto/crypto_ops_builder/crypto_uint32.h
index 21020d7b5..21020d7b5 100755
--- a/src/crypto/shen_ed25519_ref/crypto_uint32.h
+++ b/src/crypto/crypto_ops_builder/crypto_uint32.h
diff --git a/src/crypto/shen_ed25519_ref/crypto_verify_32.h b/src/crypto/crypto_ops_builder/crypto_verify_32.h
index ad265c7a3..ad265c7a3 100755
--- a/src/crypto/shen_ed25519_ref/crypto_verify_32.h
+++ b/src/crypto/crypto_ops_builder/crypto_verify_32.h
diff --git a/src/crypto/shen_ed25519_ref/ietf.txt b/src/crypto/crypto_ops_builder/ietf.txt
index 0736f71ec..0736f71ec 100644
--- a/src/crypto/shen_ed25519_ref/ietf.txt
+++ b/src/crypto/crypto_ops_builder/ietf.txt
diff --git a/src/crypto/shen_ed25519_ref/include/Makefile.am b/src/crypto/crypto_ops_builder/include/Makefile.am
index 894c371a3..894c371a3 100644
--- a/src/crypto/shen_ed25519_ref/include/Makefile.am
+++ b/src/crypto/crypto_ops_builder/include/Makefile.am
diff --git a/src/crypto/shen_ed25519_ref/include/libsodium_LICENSE b/src/crypto/crypto_ops_builder/include/libsodium_LICENSE
index 3edb000f6..3edb000f6 100644
--- a/src/crypto/shen_ed25519_ref/include/libsodium_LICENSE
+++ b/src/crypto/crypto_ops_builder/include/libsodium_LICENSE
diff --git a/src/crypto/shen_ed25519_ref/include/sodium.h b/src/crypto/crypto_ops_builder/include/sodium.h
index 207bdedeb..207bdedeb 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium.h
+++ b/src/crypto/crypto_ops_builder/include/sodium.h
diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_int32.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_int32.h
index a22019d87..a22019d87 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_int32.h
+++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_int32.h
diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_int64.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_int64.h
index f68a28361..f68a28361 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_int64.h
+++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_int64.h
diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint16.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint16.h
index 6be4e347c..6be4e347c 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint16.h
+++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint16.h
diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint32.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint32.h
index ba66cecc6..ba66cecc6 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint32.h
+++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint32.h
diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint64.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint64.h
index 98b3f6d34..98b3f6d34 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint64.h
+++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint64.h
diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint8.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint8.h
index 789613ba5..789613ba5 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_uint8.h
+++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_uint8.h
diff --git a/src/crypto/shen_ed25519_ref/include/sodium/crypto_verify_32.h b/src/crypto/crypto_ops_builder/include/sodium/crypto_verify_32.h
index 58e4d0e82..58e4d0e82 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium/crypto_verify_32.h
+++ b/src/crypto/crypto_ops_builder/include/sodium/crypto_verify_32.h
diff --git a/src/crypto/shen_ed25519_ref/include/sodium/randombytes.h b/src/crypto/crypto_ops_builder/include/sodium/randombytes.h
index 08aff0525..08aff0525 100644
--- a/src/crypto/shen_ed25519_ref/include/sodium/randombytes.h
+++ b/src/crypto/crypto_ops_builder/include/sodium/randombytes.h
diff --git a/src/crypto/shen_ed25519_ref/randombytes.c b/src/crypto/crypto_ops_builder/randombytes.c
index fa7d42149..fa7d42149 100755
--- a/src/crypto/shen_ed25519_ref/randombytes.c
+++ b/src/crypto/crypto_ops_builder/randombytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/Makefile b/src/crypto/crypto_ops_builder/ref10/Makefile
index 9b0ba7ad4..9b0ba7ad4 100644
--- a/src/crypto/shen_ed25519_ref/ref10/Makefile
+++ b/src/crypto/crypto_ops_builder/ref10/Makefile
diff --git a/src/crypto/shen_ed25519_ref/ref10/api.h b/src/crypto/crypto_ops_builder/ref10/api.h
index d88dae0c3..d88dae0c3 100644
--- a/src/crypto/shen_ed25519_ref/ref10/api.h
+++ b/src/crypto/crypto_ops_builder/ref10/api.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/base.h b/src/crypto/crypto_ops_builder/ref10/base.h
index 573bd8a05..573bd8a05 100644
--- a/src/crypto/shen_ed25519_ref/ref10/base.h
+++ b/src/crypto/crypto_ops_builder/ref10/base.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/base.py b/src/crypto/crypto_ops_builder/ref10/base.py
index 84accc858..84accc858 100644
--- a/src/crypto/shen_ed25519_ref/ref10/base.py
+++ b/src/crypto/crypto_ops_builder/ref10/base.py
diff --git a/src/crypto/shen_ed25519_ref/ref10/base2.h b/src/crypto/crypto_ops_builder/ref10/base2.h
index 8c538440f..8c538440f 100644
--- a/src/crypto/shen_ed25519_ref/ref10/base2.h
+++ b/src/crypto/crypto_ops_builder/ref10/base2.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/base2.py b/src/crypto/crypto_ops_builder/ref10/base2.py
index 5e4e8739d..5e4e8739d 100644
--- a/src/crypto/shen_ed25519_ref/ref10/base2.py
+++ b/src/crypto/crypto_ops_builder/ref10/base2.py
diff --git a/src/crypto/shen_ed25519_ref/ref10/d.h b/src/crypto/crypto_ops_builder/ref10/d.h
index e25f57835..e25f57835 100644
--- a/src/crypto/shen_ed25519_ref/ref10/d.h
+++ b/src/crypto/crypto_ops_builder/ref10/d.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/d.py b/src/crypto/crypto_ops_builder/ref10/d.py
index 8995bb86a..8995bb86a 100644
--- a/src/crypto/shen_ed25519_ref/ref10/d.py
+++ b/src/crypto/crypto_ops_builder/ref10/d.py
diff --git a/src/crypto/shen_ed25519_ref/ref10/d2.h b/src/crypto/crypto_ops_builder/ref10/d2.h
index 01aaec751..01aaec751 100644
--- a/src/crypto/shen_ed25519_ref/ref10/d2.h
+++ b/src/crypto/crypto_ops_builder/ref10/d2.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/d2.py b/src/crypto/crypto_ops_builder/ref10/d2.py
index 79841758b..79841758b 100644
--- a/src/crypto/shen_ed25519_ref/ref10/d2.py
+++ b/src/crypto/crypto_ops_builder/ref10/d2.py
diff --git a/src/crypto/shen_ed25519_ref/ref10/description b/src/crypto/crypto_ops_builder/ref10/description
index cbfcb2cba..cbfcb2cba 100644
--- a/src/crypto/shen_ed25519_ref/ref10/description
+++ b/src/crypto/crypto_ops_builder/ref10/description
diff --git a/src/crypto/shen_ed25519_ref/ref10/designers b/src/crypto/crypto_ops_builder/ref10/designers
index 2a3a93a8e..2a3a93a8e 100644
--- a/src/crypto/shen_ed25519_ref/ref10/designers
+++ b/src/crypto/crypto_ops_builder/ref10/designers
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe.h b/src/crypto/crypto_ops_builder/ref10/fe.h
index 60c308ba4..60c308ba4 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe.h
+++ b/src/crypto/crypto_ops_builder/ref10/fe.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_0.c b/src/crypto/crypto_ops_builder/ref10/fe_0.c
index ec879d733..ec879d733 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_0.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_0.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_1.c b/src/crypto/crypto_ops_builder/ref10/fe_1.c
index 8cf778484..8cf778484 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_1.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_1.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_add.c b/src/crypto/crypto_ops_builder/ref10/fe_add.c
index e6a81da20..e6a81da20 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_add.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_add.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_cmov.c b/src/crypto/crypto_ops_builder/ref10/fe_cmov.c
index 8ca584fb1..8ca584fb1 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_cmov.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_cmov.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_copy.c b/src/crypto/crypto_ops_builder/ref10/fe_copy.c
index 9c5bf865a..9c5bf865a 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_copy.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_copy.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_frombytes.c b/src/crypto/crypto_ops_builder/ref10/fe_frombytes.c
index 5c1791748..5c1791748 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_frombytes.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_frombytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_invert.c b/src/crypto/crypto_ops_builder/ref10/fe_invert.c
index bcfdb8ff8..bcfdb8ff8 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_invert.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_invert.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_isnegative.c b/src/crypto/crypto_ops_builder/ref10/fe_isnegative.c
index 3b2c8b8d5..3b2c8b8d5 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_isnegative.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_isnegative.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_isnonzero.c b/src/crypto/crypto_ops_builder/ref10/fe_isnonzero.c
index 47568001c..47568001c 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_isnonzero.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_isnonzero.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_mul.c b/src/crypto/crypto_ops_builder/ref10/fe_mul.c
index 26ca8b368..26ca8b368 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_mul.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_mul.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_neg.c b/src/crypto/crypto_ops_builder/ref10/fe_neg.c
index 2078ce528..2078ce528 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_neg.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_neg.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_pow22523.c b/src/crypto/crypto_ops_builder/ref10/fe_pow22523.c
index 56675a590..56675a590 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_pow22523.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_pow22523.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_sq.c b/src/crypto/crypto_ops_builder/ref10/fe_sq.c
index 8dd119841..8dd119841 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_sq.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_sq.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_sq2.c b/src/crypto/crypto_ops_builder/ref10/fe_sq2.c
index 026ed3aac..026ed3aac 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_sq2.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_sq2.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_sub.c b/src/crypto/crypto_ops_builder/ref10/fe_sub.c
index 6e26b7df8..6e26b7df8 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_sub.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_sub.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/fe_tobytes.c b/src/crypto/crypto_ops_builder/ref10/fe_tobytes.c
index 0a63baf9c..0a63baf9c 100644
--- a/src/crypto/shen_ed25519_ref/ref10/fe_tobytes.c
+++ b/src/crypto/crypto_ops_builder/ref10/fe_tobytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge.h b/src/crypto/crypto_ops_builder/ref10/ge.h
index 55e95f95b..55e95f95b 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge.h
+++ b/src/crypto/crypto_ops_builder/ref10/ge.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_add.c b/src/crypto/crypto_ops_builder/ref10/ge_add.c
index da7ff5d2e..da7ff5d2e 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_add.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_add.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_add.h b/src/crypto/crypto_ops_builder/ref10/ge_add.h
index 7481f8ffb..7481f8ffb 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_add.h
+++ b/src/crypto/crypto_ops_builder/ref10/ge_add.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_add.q b/src/crypto/crypto_ops_builder/ref10/ge_add.q
index a6572ab0f..a6572ab0f 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_add.q
+++ b/src/crypto/crypto_ops_builder/ref10/ge_add.q
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_double_scalarmult.c b/src/crypto/crypto_ops_builder/ref10/ge_double_scalarmult.c
index f8bf4bf77..f8bf4bf77 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_double_scalarmult.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_double_scalarmult.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_frombytes.c b/src/crypto/crypto_ops_builder/ref10/ge_frombytes.c
index 1a059ee93..1a059ee93 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_frombytes.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_frombytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_madd.c b/src/crypto/crypto_ops_builder/ref10/ge_madd.c
index 622571774..622571774 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_madd.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_madd.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_madd.h b/src/crypto/crypto_ops_builder/ref10/ge_madd.h
index ecae84952..ecae84952 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_madd.h
+++ b/src/crypto/crypto_ops_builder/ref10/ge_madd.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_madd.q b/src/crypto/crypto_ops_builder/ref10/ge_madd.q
index aa3db454e..aa3db454e 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_madd.q
+++ b/src/crypto/crypto_ops_builder/ref10/ge_madd.q
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_msub.c b/src/crypto/crypto_ops_builder/ref10/ge_msub.c
index 741ecbf11..741ecbf11 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_msub.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_msub.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_msub.h b/src/crypto/crypto_ops_builder/ref10/ge_msub.h
index 500f986ba..500f986ba 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_msub.h
+++ b/src/crypto/crypto_ops_builder/ref10/ge_msub.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_msub.q b/src/crypto/crypto_ops_builder/ref10/ge_msub.q
index e3cadd882..e3cadd882 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_msub.q
+++ b/src/crypto/crypto_ops_builder/ref10/ge_msub.q
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p2.c b/src/crypto/crypto_ops_builder/ref10/ge_p1p1_to_p2.c
index 9bb5013d6..9bb5013d6 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p2.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p1p1_to_p2.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p3.c b/src/crypto/crypto_ops_builder/ref10/ge_p1p1_to_p3.c
index 2f57b1096..2f57b1096 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p1p1_to_p3.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p1p1_to_p3.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p2_0.c b/src/crypto/crypto_ops_builder/ref10/ge_p2_0.c
index 6191d1e6e..6191d1e6e 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p2_0.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p2_0.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.c b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.c
index 2e332b5ce..2e332b5ce 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.h b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.h
index 128efed90..128efed90 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.h
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.q b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.q
index 170d42f9a..170d42f9a 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p2_dbl.q
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p2_dbl.q
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_0.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_0.c
index 401b2935a..401b2935a 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_0.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_0.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_dbl.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_dbl.c
index 0d8a05915..0d8a05915 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_dbl.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_dbl.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_cached.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_to_cached.c
index bde64228c..bde64228c 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_cached.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_to_cached.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_p2.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_to_p2.c
index e532a9e4c..e532a9e4c 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_to_p2.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_to_p2.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_p3_tobytes.c b/src/crypto/crypto_ops_builder/ref10/ge_p3_tobytes.c
index 21cb2fc65..21cb2fc65 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_p3_tobytes.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_p3_tobytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_precomp_0.c b/src/crypto/crypto_ops_builder/ref10/ge_precomp_0.c
index 2e218861d..2e218861d 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_precomp_0.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_precomp_0.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_scalarmult_base.c b/src/crypto/crypto_ops_builder/ref10/ge_scalarmult_base.c
index 421e4fa0f..421e4fa0f 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_scalarmult_base.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_scalarmult_base.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_sub.c b/src/crypto/crypto_ops_builder/ref10/ge_sub.c
index 69f3d5406..69f3d5406 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_sub.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_sub.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_sub.h b/src/crypto/crypto_ops_builder/ref10/ge_sub.h
index b4ef1f5dd..b4ef1f5dd 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_sub.h
+++ b/src/crypto/crypto_ops_builder/ref10/ge_sub.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_sub.q b/src/crypto/crypto_ops_builder/ref10/ge_sub.q
index 2779a4a20..2779a4a20 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_sub.q
+++ b/src/crypto/crypto_ops_builder/ref10/ge_sub.q
diff --git a/src/crypto/shen_ed25519_ref/ref10/ge_tobytes.c b/src/crypto/crypto_ops_builder/ref10/ge_tobytes.c
index 31b3d33e0..31b3d33e0 100644
--- a/src/crypto/shen_ed25519_ref/ref10/ge_tobytes.c
+++ b/src/crypto/crypto_ops_builder/ref10/ge_tobytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/keypair.c b/src/crypto/crypto_ops_builder/ref10/keypair.c
index ac6cea2b7..ac6cea2b7 100644
--- a/src/crypto/shen_ed25519_ref/ref10/keypair.c
+++ b/src/crypto/crypto_ops_builder/ref10/keypair.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/open.c b/src/crypto/crypto_ops_builder/ref10/open.c
index 1ec4cd2bf..1ec4cd2bf 100644
--- a/src/crypto/shen_ed25519_ref/ref10/open.c
+++ b/src/crypto/crypto_ops_builder/ref10/open.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/pow22523.h b/src/crypto/crypto_ops_builder/ref10/pow22523.h
index 60ffe0d34..60ffe0d34 100644
--- a/src/crypto/shen_ed25519_ref/ref10/pow22523.h
+++ b/src/crypto/crypto_ops_builder/ref10/pow22523.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/pow22523.q b/src/crypto/crypto_ops_builder/ref10/pow22523.q
index 2ce1da9d4..2ce1da9d4 100644
--- a/src/crypto/shen_ed25519_ref/ref10/pow22523.q
+++ b/src/crypto/crypto_ops_builder/ref10/pow22523.q
diff --git a/src/crypto/shen_ed25519_ref/ref10/pow225521.h b/src/crypto/crypto_ops_builder/ref10/pow225521.h
index 109df779a..109df779a 100644
--- a/src/crypto/shen_ed25519_ref/ref10/pow225521.h
+++ b/src/crypto/crypto_ops_builder/ref10/pow225521.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/pow225521.q b/src/crypto/crypto_ops_builder/ref10/pow225521.q
index 45be57c08..45be57c08 100644
--- a/src/crypto/shen_ed25519_ref/ref10/pow225521.q
+++ b/src/crypto/crypto_ops_builder/ref10/pow225521.q
diff --git a/src/crypto/shen_ed25519_ref/ref10/q2h.sh b/src/crypto/crypto_ops_builder/ref10/q2h.sh
index 47ec5110e..47ec5110e 100644
--- a/src/crypto/shen_ed25519_ref/ref10/q2h.sh
+++ b/src/crypto/crypto_ops_builder/ref10/q2h.sh
diff --git a/src/crypto/shen_ed25519_ref/ref10/sc.h b/src/crypto/crypto_ops_builder/ref10/sc.h
index d32ed2e8c..d32ed2e8c 100644
--- a/src/crypto/shen_ed25519_ref/ref10/sc.h
+++ b/src/crypto/crypto_ops_builder/ref10/sc.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/sc_muladd.c b/src/crypto/crypto_ops_builder/ref10/sc_muladd.c
index 6f1e9d02d..6f1e9d02d 100644
--- a/src/crypto/shen_ed25519_ref/ref10/sc_muladd.c
+++ b/src/crypto/crypto_ops_builder/ref10/sc_muladd.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/sc_reduce.c b/src/crypto/crypto_ops_builder/ref10/sc_reduce.c
index d01f5a573..d01f5a573 100644
--- a/src/crypto/shen_ed25519_ref/ref10/sc_reduce.c
+++ b/src/crypto/crypto_ops_builder/ref10/sc_reduce.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/sign.c b/src/crypto/crypto_ops_builder/ref10/sign.c
index de53742a6..de53742a6 100644
--- a/src/crypto/shen_ed25519_ref/ref10/sign.c
+++ b/src/crypto/crypto_ops_builder/ref10/sign.c
diff --git a/src/crypto/shen_ed25519_ref/ref10/sqrtm1.h b/src/crypto/crypto_ops_builder/ref10/sqrtm1.h
index d8caa23b6..d8caa23b6 100644
--- a/src/crypto/shen_ed25519_ref/ref10/sqrtm1.h
+++ b/src/crypto/crypto_ops_builder/ref10/sqrtm1.h
diff --git a/src/crypto/shen_ed25519_ref/ref10/sqrtm1.py b/src/crypto/crypto_ops_builder/ref10/sqrtm1.py
index 9a47fbc12..9a47fbc12 100644
--- a/src/crypto/shen_ed25519_ref/ref10/sqrtm1.py
+++ b/src/crypto/crypto_ops_builder/ref10/sqrtm1.py
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/MakeCryptoOps.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/MakeCryptoOps.py
index a37ddf370..a37ddf370 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/MakeCryptoOps.py
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/MakeCryptoOps.py
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/api.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/api.h
index d88dae0c3..d88dae0c3 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/api.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/api.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.h
index 573bd8a05..573bd8a05 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.py
index 84accc858..84accc858 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.py
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base.py
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.h
index 8c538440f..8c538440f 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.py
index 5e4e8739d..5e4e8739d 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.py
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/base2.py
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/crypto-ops.h
index 0bd1f9f9b..0bd1f9f9b 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/crypto-ops.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.h
index e25f57835..e25f57835 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.py
index 8995bb86a..8995bb86a 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.py
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d.py
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.h
index 01aaec751..01aaec751 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.py
index 79841758b..79841758b 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.py
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/d2.py
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/description b/src/crypto/crypto_ops_builder/ref10CommentedCombined/description
index 07bf45d05..07bf45d05 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/description
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/description
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/designers b/src/crypto/crypto_ops_builder/ref10CommentedCombined/designers
index 63781c08f..63781c08f 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/designers
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/designers
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe.h
index 60c308ba4..60c308ba4 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_0.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_0.c
index ec879d733..ec879d733 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_0.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_0.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_1.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_1.c
index 8cf778484..8cf778484 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_1.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_1.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_add.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_add.c
index e6a81da20..e6a81da20 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_add.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_add.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_cmov.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_cmov.c
index 8ca584fb1..8ca584fb1 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_cmov.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_cmov.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_copy.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_copy.c
index 9c5bf865a..9c5bf865a 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_copy.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_copy.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_frombytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_frombytes.c
index 5c1791748..5c1791748 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_frombytes.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_frombytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_invert.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_invert.c
index bcfdb8ff8..bcfdb8ff8 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_invert.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_invert.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnegative.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnegative.c
index 3b2c8b8d5..3b2c8b8d5 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnegative.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnegative.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnonzero.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnonzero.c
index 47568001c..47568001c 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnonzero.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_isnonzero.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_mul.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_mul.c
index 26ca8b368..26ca8b368 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_mul.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_mul.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_neg.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_neg.c
index 2078ce528..2078ce528 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_neg.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_neg.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_pow22523.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_pow22523.c
index 56675a590..56675a590 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_pow22523.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_pow22523.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq.c
index 8dd119841..8dd119841 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq2.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq2.c
index 026ed3aac..026ed3aac 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq2.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sq2.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sub.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sub.c
index 6e26b7df8..6e26b7df8 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sub.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_sub.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_tobytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_tobytes.c
index 0a63baf9c..0a63baf9c 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_tobytes.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/fe_tobytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge.h
index 55e95f95b..55e95f95b 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.c
index da7ff5d2e..da7ff5d2e 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.h
index 7481f8ffb..7481f8ffb 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.q
index a6572ab0f..a6572ab0f 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.q
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_add.q
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_double_scalarmult.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_double_scalarmult.c
index f8bf4bf77..f8bf4bf77 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_double_scalarmult.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_double_scalarmult.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_frombytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_frombytes.c
index 1a059ee93..1a059ee93 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_frombytes.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_frombytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.c
index 622571774..622571774 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.h
index ecae84952..ecae84952 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.q
index aa3db454e..aa3db454e 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.q
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_madd.q
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.c
index 741ecbf11..741ecbf11 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.h
index 500f986ba..500f986ba 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.q
index e3cadd882..e3cadd882 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.q
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_msub.q
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p2.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p1p1_to_p2.c
index 9bb5013d6..9bb5013d6 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p2.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p1p1_to_p2.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p3.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p1p1_to_p3.c
index 2f57b1096..2f57b1096 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p3.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p1p1_to_p3.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_0.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_0.c
index 6191d1e6e..6191d1e6e 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_0.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_0.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.c
index 2e332b5ce..2e332b5ce 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.h
index 128efed90..128efed90 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.q
index 170d42f9a..170d42f9a 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.q
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p2_dbl.q
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_0.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_0.c
index 401b2935a..401b2935a 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_0.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_0.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_dbl.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_dbl.c
index 0d8a05915..0d8a05915 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_dbl.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_dbl.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_cached.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_cached.c
index bde64228c..bde64228c 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_cached.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_cached.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_p2.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_p2.c
index e532a9e4c..e532a9e4c 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_p2.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_to_p2.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_tobytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_tobytes.c
index 21cb2fc65..21cb2fc65 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_tobytes.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_p3_tobytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_precomp_0.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_precomp_0.c
index 2e218861d..2e218861d 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_precomp_0.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_precomp_0.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_scalarmult_base.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_scalarmult_base.c
index 421e4fa0f..421e4fa0f 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_scalarmult_base.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_scalarmult_base.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.c
index 69f3d5406..69f3d5406 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.h
index b4ef1f5dd..b4ef1f5dd 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.q
index 2779a4a20..2779a4a20 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.q
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_sub.q
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_tobytes.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_tobytes.c
index 31b3d33e0..31b3d33e0 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_tobytes.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/ge_tobytes.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/keypair.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/keypair.c
index ac6cea2b7..ac6cea2b7 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/keypair.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/keypair.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/open.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/open.c
index 1ec4cd2bf..1ec4cd2bf 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/open.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/open.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow22523.h
index 60ffe0d34..60ffe0d34 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow22523.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow22523.q
index 2ce1da9d4..2ce1da9d4 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.q
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow22523.q
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow225521.h
index 109df779a..109df779a 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow225521.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.q b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow225521.q
index 45be57c08..45be57c08 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.q
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/pow225521.q
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/q2h.sh b/src/crypto/crypto_ops_builder/ref10CommentedCombined/q2h.sh
index 47ec5110e..47ec5110e 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/q2h.sh
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/q2h.sh
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc.h
index d32ed2e8c..d32ed2e8c 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_muladd.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_muladd.c
index 6f1e9d02d..6f1e9d02d 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_muladd.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_muladd.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_reduce.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_reduce.c
index d01f5a573..d01f5a573 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_reduce.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_reduce.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_sub.xmr.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_sub.xmr.c
index cd4a50ff0..cd4a50ff0 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_sub.xmr.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sc_sub.xmr.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/scrap.txt b/src/crypto/crypto_ops_builder/ref10CommentedCombined/scrap.txt
index 9a02605db..9a02605db 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/scrap.txt
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/scrap.txt
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sign.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sign.c
index de53742a6..de53742a6 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sign.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sign.c
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.h b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.h
index d8caa23b6..d8caa23b6 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.h
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.h
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.py
index 9a47fbc12..9a47fbc12 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.py
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/sqrtm1.py
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/test.py b/src/crypto/crypto_ops_builder/ref10CommentedCombined/test.py
index 10fa408ce..10fa408ce 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/test.py
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/test.py
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/xmrSpecificOld.c b/src/crypto/crypto_ops_builder/ref10CommentedCombined/xmrSpecificOld.c
index e6567c120..e6567c120 100644
--- a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/xmrSpecificOld.c
+++ b/src/crypto/crypto_ops_builder/ref10CommentedCombined/xmrSpecificOld.c
diff --git a/src/crypto/shen_ed25519_ref/sha512-blocks.c b/src/crypto/crypto_ops_builder/sha512-blocks.c
index c8dbf0d35..c8dbf0d35 100755
--- a/src/crypto/shen_ed25519_ref/sha512-blocks.c
+++ b/src/crypto/crypto_ops_builder/sha512-blocks.c
diff --git a/src/crypto/shen_ed25519_ref/sha512-hash.c b/src/crypto/crypto_ops_builder/sha512-hash.c
index f2f292505..f2f292505 100755
--- a/src/crypto/shen_ed25519_ref/sha512-hash.c
+++ b/src/crypto/crypto_ops_builder/sha512-hash.c
diff --git a/src/crypto/shen_ed25519_ref/sha512.h b/src/crypto/crypto_ops_builder/sha512.h
index 37376b15d..37376b15d 100755
--- a/src/crypto/shen_ed25519_ref/sha512.h
+++ b/src/crypto/crypto_ops_builder/sha512.h
diff --git a/src/crypto/shen_ed25519_ref/verify.c b/src/crypto/crypto_ops_builder/verify.c
index a04186b60..a04186b60 100755
--- a/src/crypto/shen_ed25519_ref/verify.c
+++ b/src/crypto/crypto_ops_builder/verify.c
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 <assert.h>
-#include <stdint.h>
-
-#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<y<1.
-
-  Write r=h-pq.
-  Have 0<=r<=p-1=2^255-20.
-  Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.
-
-  Write x=r+19(2^-255)r+y.
-  Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.
-
-  Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
-  so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q.
-*/
-
-void fe_tobytes(unsigned char *s,const fe h)
-{
-  int32_t h0 = h[0];
-  int32_t h1 = h[1];
-  int32_t h2 = h[2];
-  int32_t h3 = h[3];
-  int32_t h4 = h[4];
-  int32_t h5 = h[5];
-  int32_t h6 = h[6];
-  int32_t h7 = h[7];
-  int32_t h8 = h[8];
-  int32_t h9 = h[9];
-  int32_t q;
-  int32_t carry0;
-  int32_t carry1;
-  int32_t carry2;
-  int32_t carry3;
-  int32_t carry4;
-  int32_t carry5;
-  int32_t carry6;
-  int32_t carry7;
-  int32_t carry8;
-  int32_t carry9;
-
-  q = (19 * h9 + (((int32_t) 1) << 24)) >> 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 },
-  { 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 },
- },
- {
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-  { -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 },
- },
-},
-} ;
-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;
-}