diff options
| author | ShenNoether <Shen.Noether@gmx.com> | 2015-08-23 14:48:50 -0600 |
|---|---|---|
| committer | ShenNoether <Shen.Noether@gmx.com> | 2015-08-23 14:48:50 -0600 |
| commit | 0a4bc84b2f681dfd89b501648f65a951d876e2d8 (patch) | |
| tree | 9f37622b56f26724b4c057dd28f4c9a0ee7ecd74 /src/crypto/shen_ed25519_ref/ref10CommentedCombined | |
| parent | revert to 776b4fc91a821be152f0f23e6873aabb78a72029 (diff) | |
| download | monero-0a4bc84b2f681dfd89b501648f65a951d876e2d8.tar.xz | |
Added ref10 shen_ed25519_ref code, which includes code that can replace crypto-ops with a version straight from Bernstein's ref 10
Diffstat (limited to 'src/crypto/shen_ed25519_ref/ref10CommentedCombined')
77 files changed, 11761 insertions, 0 deletions
diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/MakeCryptoOps.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/MakeCryptoOps.py new file mode 100644 index 000000000..a37ddf370 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/MakeCryptoOps.py @@ -0,0 +1,261 @@ +#assumes you have gnu sed, osx sed might need slight syntax changeo +#c.f. http://unix.stackexchange.com/questions/112023/how-can-i-replace-a-string-in-a-files + +#written by shen-noether monero research labs + +import os #for copying and sed etc. +import glob #for copy files +import textwrap #for comments etc + +print("make sure you have cat and grep installed") +print("also assumes gnu sed syntax, c.f. :http://unix.stackexchange.com/questions/112023/how-can-i-replace-a-string-in-a-files") +print("I believe osx may have slightly different version of sed") +print("maybe someone smart can replace the sed with perl..") + +a = "" + +license = textwrap.dedent("""\ + // Copyright (c) 2014-2015, The Monero Project + // + // All rights reserved. + // + // Redistribution and use in source and binary forms, with or without modification, are + // permitted provided that the following conditions are met: + // + // 1. Redistributions of source code must retain the above copyright notice, this list of + // conditions and the following disclaimer. + // + // 2. Redistributions in binary form must reproduce the above copyright notice, this list + // of conditions and the following disclaimer in the documentation and/or other + // materials provided with the distribution. + // + // 3. Neither the name of the copyright holder nor the names of its contributors may be + // used to endorse or promote products derived from this software without specific + // prior written permission. + // + // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY + // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF + // MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL + // THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, + // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS + // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, + // STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF + // THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + // + // Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers + """) + +crypto_ops_includes = textwrap.dedent("""\ + #include <assert.h> + #include <stdint.h> + + #include "warnings.h" + #include "crypto-ops.h" + + DISABLE_VS_WARNINGS(4146 4244) + """) + +predeclarations = textwrap.dedent("""\ + /* Predeclarations */ + + static void fe_mul(fe, const fe, const fe); + static void fe_sq(fe, const fe); + static void fe_tobytes(unsigned char *, const fe); + static int fe_isnonzero(const fe); + static void ge_madd(ge_p1p1 *, const ge_p3 *, const ge_precomp *); + static void ge_msub(ge_p1p1 *, const ge_p3 *, const ge_precomp *); + static void ge_p2_0(ge_p2 *); + static void ge_p3_dbl(ge_p1p1 *, const ge_p3 *); + static void ge_sub(ge_p1p1 *, const ge_p3 *, const ge_cached *); + static void fe_divpowm1(fe, const fe, const fe); + """) + + + +fe_comments = textwrap.dedent("""\ + /* + fe means field element. + Here the field is \Z/(2^255-19). + An element t, entries t[0]...t[9], represents the integer + t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. + Bounds on each t[i] vary depending on context. + */ + """) + +sc_comments = textwrap.dedent("""\ + /* + * + * sc code + * + * + The set of scalars is \Z/l + where l = 2^252 + 27742317777372353535851937790883648493. + + This is the order of the curve ed25519. + The point is that if a is a scalar and P is a point, + and b is congruent to a mod l, then aP = bP. + Thus, reducing mod l can possibly give you a smaller scalar, + so your elliptic curve operations take less time + */ + """) + +ge_comments = textwrap.dedent("""\ + /* + * + * ge code + * + * + ge means group element. + + Here the group is the set of pairs (x,y) of field elements (see fe.h) + satisfying -x^2 + y^2 = 1 + d x^2y^2 + where d = -121665/121666. + + Representations: + ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z + ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT + ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T + ge_precomp (Duif): (y+x,y-x,2dxy) + */ + """) + +xmr_comments = textwrap.dedent("""\ + /* + * + * xmr specific code + * + * + This code is from the original CryptoNote. + Some additional functions were needed to compute ring signatures + which are not needed for signing. + Note that sc_sub and sc_mulsub have been given their own file + since these have been rewritten + + */ + """) + + + + +def qhasmToC(fi, header, out): + #replaces mentiones of "header" in "fi" with output in "out" + #also removes qhasm comments + out1 = out+".tmp" + rem_qhasm = " |grep -v 'qhasm' |grep -v ' asm'" + com = "sed -e '/#include \""+header+"\"/ {' -e 'r "+header+"' -e 'd' -e '}' "+fi+rem_qhasm+" > "+out1 + com2 = "awk 'NF' "+out1+" > "+out + print(com) + os.system(com) + print(com2) + os.system(com2) + os.remove(out1) #temporary + +while (a != "m") and (a != "m") and (a != "c"): + a = raw_input("Make / Clean/ Quit m / c / q?") + +if a == "m": + print("making crypto-ops.c and crypto-ops.h") + + + #ref10 header files + + #ref10 c files + + #fe things + #still need to do d2, d, sqrtm1 + print("making fe.c") + print(fe_comments) + fe = glob.glob("fe*.c") + for g in fe: + os.system("cp "+g+" "+g.replace("fe", "fe.monero.")) + qhasmToC("fe_pow22523.c", "pow22523.h", "fe.monero._pow22523.c") + qhasmToC("fe_invert.c", "pow225521.h", "fe.monero._invert.c") + os.system("rm fe.monero._isnonzero.c") #since it's modified, it's in xmrSpecificOld + os.system("cat fe.monero.*.c | grep -v '^#include' > fe.monero.c") + + #sc things + print("\nmaking sc.c") + print(sc_comments) + #so you don't get multiple "loads" + os.system("tail -n +24 sc_reduce.c > sc.monero._reduce.c") #also good on linux + os.system("tail -n +24 sc_muladd.c > sc.monero._muladd.c") + os.system("tail -n +31 sc_sub.xmr.c > sc.monero._sub.xmr.c") #careful with the tails if you change these files! + os.system("cat sc.monero.*.c | grep -v '^#include' > sc.monero.c") + + #ge stuff + print("making ge.c") + ge = glob.glob("ge*.c") + for g in ge: + os.system("cp "+g+" "+g.replace("ge", "ge.monero.")) + print(ge_comments) + #need to substitute the below lines for their .h files in the appropriate places + qhasmToC("ge_add.c", "ge_add.h", "ge.monero._add.c") + qhasmToC("ge_madd.c", "ge_madd.h", "ge.monero._madd.c") + qhasmToC("ge_sub.c", "ge_sub.h", "ge.monero._sub.c") + qhasmToC("ge_msub.c", "ge_msub.h", "ge.monero._msub.c") + qhasmToC("ge_p2_dbl.c", "ge_p2_dbl.h", "ge.monero._p2_dbl.c") + qhasmToC("ge_frombytes.c", "d.h", "ge.monero._frombytes.c") + qhasmToC("ge.monero._frombytes.c", "sqrtm1.h", "ge.monero._frombytes.c") + qhasmToC("ge_p3_to_cached.c", "d2.h", "ge.monero._p3_to_cached.c") + + + + #also ge_double_scalarmult needs base2.h for ge_precomp Bi + #note, base2.h is a large file! + #also in ge_scalarmult_base ge_precomp base needs base.h included + + qhasmToC("ge_double_scalarmult.c", "base2.h", "ge.monero._double_scalarmult.c") + qhasmToC("ge_scalarmult_base.c", "base.h", "ge.monero._scalarmult_base.c") + #qhasmToC("ge.monero._scalarmult_base.c", "base.h", "ge.monero._scalarmult_base.c") + os.system("sed -i 's/ cmov/ ge_precomp_cmov/g' ge.monero._scalarmult_base.c") + os.system("cat ge.monero.*.c | grep -v '^#include' > ge.monero.c") + + + print("making crypto-ops.c") + + #sqrtm1 things + + #comments + with open("fe.monero.comments", "w") as text_file: + text_file.write(fe_comments) + with open("ge.monero.comments", "w") as text_file: + text_file.write(ge_comments) + with open("sc.monero.comments", "w") as text_file: + text_file.write(sc_comments) + with open("xmr.monero.comments", "w") as text_file: + text_file.write(xmr_comments) + with open("xmr.monero.predeclarations", "w") as text_file: + text_file.write(predeclarations) + + + #license + with open("monero.license", "w") as text_file: + text_file.write(license) + + #crypto-ops.c includes + with open("crypto-ops.monero.includes", "w") as text_file: + text_file.write(crypto_ops_includes) + + #note you may have duplicates of load_3, load_4 and possibly some other functions ... + os.system("cat monero.license crypto-ops.monero.includes xmr.monero.predeclarations fe.monero.comments fe.monero.c sc.monero.comments sc.monero.c ge.monero.comments ge.monero.c xmr.monero.comments xmrSpecificOld.c > crypto-ops.c") + + #monero specific header files + #print("making crypto-ops-tmp.h") + #os.system("cat fe.h ge.h sc.h |grep -v crypto_sign_ed25519 |grep -v fe.h > crypto-ops-tmp.h") + #we'll just use the old header crypto-ops.h + + #replace crypto_ints + os.system("sed -i 's/crypto_int32/int32_t/g' crypto-ops.c") + os.system("sed -i 's/crypto_int64/int64_t/g' crypto-ops.c") + os.system("sed -i 's/crypto_uint32/uint32_t/g' crypto-ops.c") + os.system("sed -i 's/crypto_uint64/uint64_t/g' crypto-ops.c") + + #cleaning up + os.system("rm *monero*") + + #monero specific c files +if a == "c": + #turn the directory back into ref10 + os.system("rm *monero*") + os.system("rm crypto-ops.c") diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/api.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/api.h new file mode 100644 index 000000000..d88dae0c3 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/api.h @@ -0,0 +1,4 @@ +#define CRYPTO_SECRETKEYBYTES 64 +#define CRYPTO_PUBLICKEYBYTES 32 +#define CRYPTO_BYTES 64 +#define CRYPTO_DETERMINISTIC 1 diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.h new file mode 100644 index 000000000..573bd8a05 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.h @@ -0,0 +1,1344 @@ +{ + { + { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, + { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, + { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, + }, + { + { -12815894,-12976347,-21581243,11784320,-25355658,-2750717,-11717903,-3814571,-358445,-10211303 }, + { -21703237,6903825,27185491,6451973,-29577724,-9554005,-15616551,11189268,-26829678,-5319081 }, + { 26966642,11152617,32442495,15396054,14353839,-12752335,-3128826,-9541118,-15472047,-4166697 }, + }, + { + { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, + { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, + { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, + }, + { + { -17036878,13921892,10945806,-6033431,27105052,-16084379,-28926210,15006023,3284568,-6276540 }, + { 23599295,-8306047,-11193664,-7687416,13236774,10506355,7464579,9656445,13059162,10374397 }, + { 7798556,16710257,3033922,2874086,28997861,2835604,32406664,-3839045,-641708,-101325 }, + }, + { + { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, + { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, + { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, + }, + { + { -15371964,-12862754,32573250,4720197,-26436522,5875511,-19188627,-15224819,-9818940,-12085777 }, + { -8549212,109983,15149363,2178705,22900618,4543417,3044240,-15689887,1762328,14866737 }, + { -18199695,-15951423,-10473290,1707278,-17185920,3916101,-28236412,3959421,27914454,4383652 }, + }, + { + { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, + { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, + { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, + }, + { + { 14499471,-2729599,-33191113,-4254652,28494862,14271267,30290735,10876454,-33154098,2381726 }, + { -7195431,-2655363,-14730155,462251,-27724326,3941372,-6236617,3696005,-32300832,15351955 }, + { 27431194,8222322,16448760,-3907995,-18707002,11938355,-32961401,-2970515,29551813,10109425 }, + }, +}, +{ + { + { -13657040,-13155431,-31283750,11777098,21447386,6519384,-2378284,-1627556,10092783,-4764171 }, + { 27939166,14210322,4677035,16277044,-22964462,-12398139,-32508754,12005538,-17810127,12803510 }, + { 17228999,-15661624,-1233527,300140,-1224870,-11714777,30364213,-9038194,18016357,4397660 }, + }, + { + { -10958843,-7690207,4776341,-14954238,27850028,-15602212,-26619106,14544525,-17477504,982639 }, + { 29253598,15796703,-2863982,-9908884,10057023,3163536,7332899,-4120128,-21047696,9934963 }, + { 5793303,16271923,-24131614,-10116404,29188560,1206517,-14747930,4559895,-30123922,-10897950 }, + }, + { + { -27643952,-11493006,16282657,-11036493,28414021,-15012264,24191034,4541697,-13338309,5500568 }, + { 12650548,-1497113,9052871,11355358,-17680037,-8400164,-17430592,12264343,10874051,13524335 }, + { 25556948,-3045990,714651,2510400,23394682,-10415330,33119038,5080568,-22528059,5376628 }, + }, + { + { -26088264,-4011052,-17013699,-3537628,-6726793,1920897,-22321305,-9447443,4535768,1569007 }, + { -2255422,14606630,-21692440,-8039818,28430649,8775819,-30494562,3044290,31848280,12543772 }, + { -22028579,2943893,-31857513,6777306,13784462,-4292203,-27377195,-2062731,7718482,14474653 }, + }, + { + { 2385315,2454213,-22631320,46603,-4437935,-15680415,656965,-7236665,24316168,-5253567 }, + { 13741529,10911568,-33233417,-8603737,-20177830,-1033297,33040651,-13424532,-20729456,8321686 }, + { 21060490,-2212744,15712757,-4336099,1639040,10656336,23845965,-11874838,-9984458,608372 }, + }, + { + { -13672732,-15087586,-10889693,-7557059,-6036909,11305547,1123968,-6780577,27229399,23887 }, + { -23244140,-294205,-11744728,14712571,-29465699,-2029617,12797024,-6440308,-1633405,16678954 }, + { -29500620,4770662,-16054387,14001338,7830047,9564805,-1508144,-4795045,-17169265,4904953 }, + }, + { + { 24059557,14617003,19037157,-15039908,19766093,-14906429,5169211,16191880,2128236,-4326833 }, + { -16981152,4124966,-8540610,-10653797,30336522,-14105247,-29806336,916033,-6882542,-2986532 }, + { -22630907,12419372,-7134229,-7473371,-16478904,16739175,285431,2763829,15736322,4143876 }, + }, + { + { 2379352,11839345,-4110402,-5988665,11274298,794957,212801,-14594663,23527084,-16458268 }, + { 33431127,-11130478,-17838966,-15626900,8909499,8376530,-32625340,4087881,-15188911,-14416214 }, + { 1767683,7197987,-13205226,-2022635,-13091350,448826,5799055,4357868,-4774191,-16323038 }, + }, +}, +{ + { + { 6721966,13833823,-23523388,-1551314,26354293,-11863321,23365147,-3949732,7390890,2759800 }, + { 4409041,2052381,23373853,10530217,7676779,-12885954,21302353,-4264057,1244380,-12919645 }, + { -4421239,7169619,4982368,-2957590,30256825,-2777540,14086413,9208236,15886429,16489664 }, + }, + { + { 1996075,10375649,14346367,13311202,-6874135,-16438411,-13693198,398369,-30606455,-712933 }, + { -25307465,9795880,-2777414,14878809,-33531835,14780363,13348553,12076947,-30836462,5113182 }, + { -17770784,11797796,31950843,13929123,-25888302,12288344,-30341101,-7336386,13847711,5387222 }, + }, + { + { -18582163,-3416217,17824843,-2340966,22744343,-10442611,8763061,3617786,-19600662,10370991 }, + { 20246567,-14369378,22358229,-543712,18507283,-10413996,14554437,-8746092,32232924,16763880 }, + { 9648505,10094563,26416693,14745928,-30374318,-6472621,11094161,15689506,3140038,-16510092 }, + }, + { + { -16160072,5472695,31895588,4744994,8823515,10365685,-27224800,9448613,-28774454,366295 }, + { 19153450,11523972,-11096490,-6503142,-24647631,5420647,28344573,8041113,719605,11671788 }, + { 8678025,2694440,-6808014,2517372,4964326,11152271,-15432916,-15266516,27000813,-10195553 }, + }, + { + { -15157904,7134312,8639287,-2814877,-7235688,10421742,564065,5336097,6750977,-14521026 }, + { 11836410,-3979488,26297894,16080799,23455045,15735944,1695823,-8819122,8169720,16220347 }, + { -18115838,8653647,17578566,-6092619,-8025777,-16012763,-11144307,-2627664,-5990708,-14166033 }, + }, + { + { -23308498,-10968312,15213228,-10081214,-30853605,-11050004,27884329,2847284,2655861,1738395 }, + { -27537433,-14253021,-25336301,-8002780,-9370762,8129821,21651608,-3239336,-19087449,-11005278 }, + { 1533110,3437855,23735889,459276,29970501,11335377,26030092,5821408,10478196,8544890 }, + }, + { + { 32173121,-16129311,24896207,3921497,22579056,-3410854,19270449,12217473,17789017,-3395995 }, + { 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}, + { + { -25493081,-6962928,32500200,-9419051,-23038724,-2302222,14898637,3848455,20969334,-5157516 }, + { -20384450,-14347713,-18336405,13884722,-33039454,2842114,-21610826,-3649888,11177095,14989547 }, + { -24496721,-11716016,16959896,2278463,12066309,10137771,13515641,2581286,-28487508,9930240 }, + }, + { + { -17751622,-2097826,16544300,-13009300,-15914807,-14949081,18345767,-13403753,16291481,-5314038 }, + { -33229194,2553288,32678213,9875984,8534129,6889387,-9676774,6957617,4368891,9788741 }, + { 16660756,7281060,-10830758,12911820,20108584,-8101676,-21722536,-8613148,16250552,-11111103 }, + }, + { + { -19765507,2390526,-16551031,14161980,1905286,6414907,4689584,10604807,-30190403,4782747 }, + { -1354539,14736941,-7367442,-13292886,7710542,-14155590,-9981571,4383045,22546403,437323 }, + { 31665577,-12180464,-16186830,1491339,-18368625,3294682,27343084,2786261,-30633590,-14097016 }, + }, + { + { -14467279,-683715,-33374107,7448552,19294360,14334329,-19690631,2355319,-19284671,-6114373 }, + { 15121312,-15796162,6377020,-6031361,-10798111,-12957845,18952177,15496498,-29380133,11754228 }, + { -2637277,-13483075,8488727,-14303896,12728761,-1622493,7141596,11724556,22761615,-10134141 }, + }, + { + { 16918416,11729663,-18083579,3022987,-31015732,-13339659,-28741185,-12227393,32851222,11717399 }, + { 11166634,7338049,-6722523,4531520,-29468672,-7302055,31474879,3483633,-1193175,-4030831 }, + { -185635,9921305,31456609,-13536438,-12013818,13348923,33142652,6546660,-19985279,-3948376 }, + }, + { + { -32460596,11266712,-11197107,-7899103,31703694,3855903,-8537131,-12833048,-30772034,-15486313 }, + { -18006477,12709068,3991746,-6479188,-21491523,-10550425,-31135347,-16049879,10928917,3011958 }, + { -6957757,-15594337,31696059,334240,29576716,14796075,-30831056,-12805180,18008031,10258577 }, + }, + { + { -22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 }, + { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 }, + { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 }, + }, +}, diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.py new file mode 100644 index 000000000..84accc858 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base.py @@ -0,0 +1,65 @@ +b = 256 +q = 2**255 - 19 +l = 2**252 + 27742317777372353535851937790883648493 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +d = -121665 * inv(121666) +I = expmod(2,(q-1)/4,q) + +def xrecover(y): + xx = (y*y-1) * inv(d*y*y+1) + x = expmod(xx,(q+3)/8,q) + if (x*x - xx) % q != 0: x = (x*I) % q + if x % 2 != 0: x = q-x + return x + +By = 4 * inv(5) +Bx = xrecover(By) +B = [Bx % q,By % q] + +def edwards(P,Q): + x1 = P[0] + y1 = P[1] + x2 = Q[0] + y2 = Q[1] + x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) + y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) + return [x3 % q,y3 % q] + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +Bi = B +for i in range(32): + print "{" + Bij = Bi + for j in range(8): + print " {" + print " {",radix255(Bij[1]+Bij[0]),"}," + print " {",radix255(Bij[1]-Bij[0]),"}," + print " {",radix255(2*d*Bij[0]*Bij[1]),"}," + Bij = edwards(Bij,Bi) + print " }," + print "}," + for k in range(8): + Bi = edwards(Bi,Bi) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.h new file mode 100644 index 000000000..8c538440f --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.h @@ -0,0 +1,40 @@ + { + { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 }, + { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 }, + { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 }, + }, + { + { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 }, + { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 }, + { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 }, + }, + { + { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 }, + { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 }, + { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 }, + }, + { + { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 }, + { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 }, + { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 }, + }, + { + { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 }, + { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 }, + { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 }, + }, + { + { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 }, + { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 }, + { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 }, + }, + { + { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 }, + { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 }, + { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 }, + }, + { + { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 }, + { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 }, + { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 }, + }, diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.py new file mode 100644 index 000000000..5e4e8739d --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/base2.py @@ -0,0 +1,60 @@ +b = 256 +q = 2**255 - 19 +l = 2**252 + 27742317777372353535851937790883648493 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +d = -121665 * inv(121666) +I = expmod(2,(q-1)/4,q) + +def xrecover(y): + xx = (y*y-1) * inv(d*y*y+1) + x = expmod(xx,(q+3)/8,q) + if (x*x - xx) % q != 0: x = (x*I) % q + if x % 2 != 0: x = q-x + return x + +By = 4 * inv(5) +Bx = xrecover(By) +B = [Bx % q,By % q] + +def edwards(P,Q): + x1 = P[0] + y1 = P[1] + x2 = Q[0] + y2 = Q[1] + x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) + y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) + return [x3 % q,y3 % q] + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +Bi = B + +for i in range(8): + print " {" + print " {",radix255(Bi[1]+Bi[0]),"}," + print " {",radix255(Bi[1]-Bi[0]),"}," + print " {",radix255(2*d*Bi[0]*Bi[1]),"}," + print " }," + Bi = edwards(B,edwards(B,Bi)) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.c new file mode 100644 index 000000000..223224f40 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.c @@ -0,0 +1,4830 @@ +// 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 }, + }, + { + { 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}, + { + { 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; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.h new file mode 100644 index 000000000..0bd1f9f9b --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/crypto-ops.h @@ -0,0 +1,145 @@ +// Copyright (c) 2014-2015, The Monero Project +// +// All rights reserved. +// +// Redistribution and use in source and binary forms, with or without modification, are +// permitted provided that the following conditions are met: +// +// 1. Redistributions of source code must retain the above copyright notice, this list of +// conditions and the following disclaimer. +// +// 2. Redistributions in binary form must reproduce the above copyright notice, this list +// of conditions and the following disclaimer in the documentation and/or other +// materials provided with the distribution. +// +// 3. Neither the name of the copyright holder nor the names of its contributors may be +// used to endorse or promote products derived from this software without specific +// prior written permission. +// +// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY +// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF +// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL +// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, +// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, +// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF +// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +// +// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers + +#pragma once + +/* From fe.h */ + +typedef int32_t fe[10]; + +/* From ge.h */ + +typedef struct { + fe X; + fe Y; + fe Z; +} ge_p2; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p3; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p1p1; + +typedef struct { + fe yplusx; + fe yminusx; + fe xy2d; +} ge_precomp; + +typedef struct { + fe YplusX; + fe YminusX; + fe Z; + fe T2d; +} ge_cached; + +/* From ge_add.c */ + +void ge_add(ge_p1p1 *, const ge_p3 *, const ge_cached *); + +/* From ge_double_scalarmult.c, modified */ + +typedef ge_cached ge_dsmp[8]; +extern const ge_precomp ge_Bi[8]; +void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s); +void ge_double_scalarmult_base_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *); + +/* From ge_frombytes.c, modified */ + +extern const fe fe_sqrtm1; +extern const fe fe_d; +int ge_frombytes_vartime(ge_p3 *, const unsigned char *); + +/* From ge_p1p1_to_p2.c */ + +void ge_p1p1_to_p2(ge_p2 *, const ge_p1p1 *); + +/* From ge_p1p1_to_p3.c */ + +void ge_p1p1_to_p3(ge_p3 *, const ge_p1p1 *); + +/* From ge_p2_dbl.c */ + +void ge_p2_dbl(ge_p1p1 *, const ge_p2 *); + +/* From ge_p3_to_cached.c */ + +extern const fe fe_d2; +void ge_p3_to_cached(ge_cached *, const ge_p3 *); + +/* From ge_p3_to_p2.c */ + +void ge_p3_to_p2(ge_p2 *, const ge_p3 *); + +/* From ge_p3_tobytes.c */ + +void ge_p3_tobytes(unsigned char *, const ge_p3 *); + +/* From ge_scalarmult_base.c */ + +extern const ge_precomp ge_base[32][8]; +void ge_scalarmult_base(ge_p3 *, const unsigned char *); + +/* From ge_tobytes.c */ + +void ge_tobytes(unsigned char *, const ge_p2 *); + +/* From sc_reduce.c */ + +void sc_reduce(unsigned char *); + +/* New code */ + +void ge_scalarmult(ge_p2 *, const unsigned char *, const ge_p3 *); +void ge_double_scalarmult_precomp_vartime(ge_p2 *, const unsigned char *, const ge_p3 *, const unsigned char *, const ge_dsmp); +void ge_mul8(ge_p1p1 *, const ge_p2 *); +extern const fe fe_ma2; +extern const fe fe_ma; +extern const fe fe_fffb1; +extern const fe fe_fffb2; +extern const fe fe_fffb3; +extern const fe fe_fffb4; +void ge_fromfe_frombytes_vartime(ge_p2 *, const unsigned char *); +void sc_0(unsigned char *); +void sc_reduce32(unsigned char *); +void sc_add(unsigned char *, const unsigned char *, const unsigned char *); +void sc_sub(unsigned char *, const unsigned char *, const unsigned char *); +void sc_mulsub(unsigned char *, const unsigned char *, const unsigned char *, const unsigned char *); +int sc_check(const unsigned char *); +int sc_isnonzero(const unsigned char *); /* Doesn't normalize */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.h new file mode 100644 index 000000000..e25f57835 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.h @@ -0,0 +1 @@ +-10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116 diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.py new file mode 100644 index 000000000..8995bb86a --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +d = -121665 * inv(121666) +print radix255(d) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.h new file mode 100644 index 000000000..01aaec751 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.h @@ -0,0 +1 @@ +-21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199 diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.py new file mode 100644 index 000000000..79841758b --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/d2.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +d = -121665 * inv(121666) +print radix255(d*2) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/description b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/description new file mode 100644 index 000000000..07bf45d05 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/description @@ -0,0 +1,7 @@ +shen_ed25519_ref10 +MakeCryptoOps.py makes crypto-ops.c in the monero source from the ref10 implementation + +EdDSA signatures using Curve25519 +from http://hyperelliptic.org/ebats/supercop-20141124.tar.bz2 + +commented / combined by shen noether, monero research labs diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/designers b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/designers new file mode 100644 index 000000000..63781c08f --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/designers @@ -0,0 +1,9 @@ +ref10: +Daniel J. Bernstein +Niels Duif +Tanja Lange +Peter Schwabe +Bo-Yin Yang + +MakeCryptoOps.py +Shen Noether monero research labs diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe.h new file mode 100644 index 000000000..60c308ba4 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe.h @@ -0,0 +1,56 @@ +#ifndef FE_H +#define FE_H + +#include "crypto_int32.h" + +typedef crypto_int32 fe[10]; + +/* +fe means field element. +Here the field is \Z/(2^255-19). +An element t, entries t[0]...t[9], represents the integer +t[0]+2^26 t[1]+2^51 t[2]+2^77 t[3]+2^102 t[4]+...+2^230 t[9]. +Bounds on each t[i] vary depending on context. +*/ + +#define fe_frombytes crypto_sign_ed25519_ref10_fe_frombytes +#define fe_tobytes crypto_sign_ed25519_ref10_fe_tobytes +#define fe_copy crypto_sign_ed25519_ref10_fe_copy +#define fe_isnonzero crypto_sign_ed25519_ref10_fe_isnonzero +#define fe_isnegative crypto_sign_ed25519_ref10_fe_isnegative +#define fe_0 crypto_sign_ed25519_ref10_fe_0 +#define fe_1 crypto_sign_ed25519_ref10_fe_1 +#define fe_cswap crypto_sign_ed25519_ref10_fe_cswap +#define fe_cmov crypto_sign_ed25519_ref10_fe_cmov +#define fe_add crypto_sign_ed25519_ref10_fe_add +#define fe_sub crypto_sign_ed25519_ref10_fe_sub +#define fe_neg crypto_sign_ed25519_ref10_fe_neg +#define fe_mul crypto_sign_ed25519_ref10_fe_mul +#define fe_sq crypto_sign_ed25519_ref10_fe_sq +#define fe_sq2 crypto_sign_ed25519_ref10_fe_sq2 +#define fe_mul121666 crypto_sign_ed25519_ref10_fe_mul121666 +#define fe_invert crypto_sign_ed25519_ref10_fe_invert +#define fe_pow22523 crypto_sign_ed25519_ref10_fe_pow22523 + +extern void fe_frombytes(fe,const unsigned char *); +extern void fe_tobytes(unsigned char *,const fe); + +extern void fe_copy(fe,const fe); +extern int fe_isnonzero(const fe); +extern int fe_isnegative(const fe); +extern void fe_0(fe); +extern void fe_1(fe); +extern void fe_cswap(fe,fe,unsigned int); +extern void fe_cmov(fe,const fe,unsigned int); + +extern void fe_add(fe,const fe,const fe); +extern void fe_sub(fe,const fe,const fe); +extern void fe_neg(fe,const fe); +extern void fe_mul(fe,const fe,const fe); +extern void fe_sq(fe,const fe); +extern void fe_sq2(fe,const fe); +extern void fe_mul121666(fe,const fe); +extern void fe_invert(fe,const fe); +extern void fe_pow22523(fe,const fe); + +#endif diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_0.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_0.c new file mode 100644 index 000000000..ec879d733 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_0.c @@ -0,0 +1,19 @@ +#include "fe.h" + +/* +h = 0 +*/ + +void fe_0(fe h) +{ + h[0] = 0; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_1.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_1.c new file mode 100644 index 000000000..8cf778484 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_1.c @@ -0,0 +1,19 @@ +#include "fe.h" + +/* +h = 1 +*/ + +void fe_1(fe h) +{ + h[0] = 1; + h[1] = 0; + h[2] = 0; + h[3] = 0; + h[4] = 0; + h[5] = 0; + h[6] = 0; + h[7] = 0; + h[8] = 0; + h[9] = 0; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_add.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_add.c new file mode 100644 index 000000000..e6a81da20 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_add.c @@ -0,0 +1,57 @@ +#include "fe.h" + +/* +h = f + g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +void fe_add(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 + g0; + crypto_int32 h1 = f1 + g1; + crypto_int32 h2 = f2 + g2; + crypto_int32 h3 = f3 + g3; + crypto_int32 h4 = f4 + g4; + crypto_int32 h5 = f5 + g5; + crypto_int32 h6 = f6 + g6; + crypto_int32 h7 = f7 + g7; + crypto_int32 h8 = f8 + g8; + crypto_int32 h9 = f9 + g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_cmov.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_cmov.c new file mode 100644 index 000000000..8ca584fb1 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_cmov.c @@ -0,0 +1,63 @@ +#include "fe.h" + +/* +Replace (f,g) with (g,g) if b == 1; +replace (f,g) with (f,g) if b == 0. + +Preconditions: b in {0,1}. +*/ + +void fe_cmov(fe f,const fe g,unsigned int b) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 x0 = f0 ^ g0; + crypto_int32 x1 = f1 ^ g1; + crypto_int32 x2 = f2 ^ g2; + crypto_int32 x3 = f3 ^ g3; + crypto_int32 x4 = f4 ^ g4; + crypto_int32 x5 = f5 ^ g5; + crypto_int32 x6 = f6 ^ g6; + crypto_int32 x7 = f7 ^ g7; + crypto_int32 x8 = f8 ^ g8; + crypto_int32 x9 = f9 ^ g9; + b = -b; + x0 &= b; + x1 &= b; + x2 &= b; + x3 &= b; + x4 &= b; + x5 &= b; + x6 &= b; + x7 &= b; + x8 &= b; + x9 &= b; + f[0] = f0 ^ x0; + f[1] = f1 ^ x1; + f[2] = f2 ^ x2; + f[3] = f3 ^ x3; + f[4] = f4 ^ x4; + f[5] = f5 ^ x5; + f[6] = f6 ^ x6; + f[7] = f7 ^ x7; + f[8] = f8 ^ x8; + f[9] = f9 ^ x9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_copy.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_copy.c new file mode 100644 index 000000000..9c5bf865a --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_copy.c @@ -0,0 +1,29 @@ +#include "fe.h" + +/* +h = f +*/ + +void fe_copy(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + h[0] = f0; + h[1] = f1; + h[2] = f2; + h[3] = f3; + h[4] = f4; + h[5] = f5; + h[6] = f6; + h[7] = f7; + h[8] = f8; + h[9] = f9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_frombytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_frombytes.c new file mode 100644 index 000000000..5c1791748 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_frombytes.c @@ -0,0 +1,73 @@ +#include "fe.h" +#include "crypto_int64.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Ignores top bit of h. +*/ + +void fe_frombytes(fe h,const unsigned char *s) +{ + crypto_int64 h0 = load_4(s); + crypto_int64 h1 = load_3(s + 4) << 6; + crypto_int64 h2 = load_3(s + 7) << 5; + crypto_int64 h3 = load_3(s + 10) << 3; + crypto_int64 h4 = load_3(s + 13) << 2; + crypto_int64 h5 = load_4(s + 16); + crypto_int64 h6 = load_3(s + 20) << 7; + crypto_int64 h7 = load_3(s + 23) << 5; + crypto_int64 h8 = load_3(s + 26) << 4; + crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_invert.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_invert.c new file mode 100644 index 000000000..bcfdb8ff8 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_invert.c @@ -0,0 +1,14 @@ +#include "fe.h" + +void fe_invert(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + fe t3; + int i; + +#include "pow225521.h" + + return; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnegative.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnegative.c new file mode 100644 index 000000000..3b2c8b8d5 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnegative.c @@ -0,0 +1,16 @@ +#include "fe.h" + +/* +return 1 if f is in {1,3,5,...,q-2} +return 0 if f is in {0,2,4,...,q-1} + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +int fe_isnegative(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return s[0] & 1; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnonzero.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnonzero.c new file mode 100644 index 000000000..47568001c --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_isnonzero.c @@ -0,0 +1,19 @@ +#include "fe.h" +#include "crypto_verify_32.h" + +/* +return 1 if f == 0 +return 0 if f != 0 + +Preconditions: + |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +static const unsigned char zero[32]; + +int fe_isnonzero(const fe f) +{ + unsigned char s[32]; + fe_tobytes(s,f); + return crypto_verify_32(s,zero); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_mul.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_mul.c new file mode 100644 index 000000000..26ca8b368 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_mul.c @@ -0,0 +1,253 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = f * g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +Notes on implementation strategy: + +Using schoolbook multiplication. +Karatsuba would save a little in some cost models. + +Most multiplications by 2 and 19 are 32-bit precomputations; +cheaper than 64-bit postcomputations. + +There is one remaining multiplication by 19 in the carry chain; +one *19 precomputation can be merged into this, +but the resulting data flow is considerably less clean. + +There are 12 carries below. +10 of them are 2-way parallelizable and vectorizable. +Can get away with 11 carries, but then data flow is much deeper. + +With tighter constraints on inputs can squeeze carries into int32. +*/ + +void fe_mul(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */ + crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */ + crypto_int32 g3_19 = 19 * g3; + crypto_int32 g4_19 = 19 * g4; + crypto_int32 g5_19 = 19 * g5; + crypto_int32 g6_19 = 19 * g6; + crypto_int32 g7_19 = 19 * g7; + crypto_int32 g8_19 = 19 * g8; + crypto_int32 g9_19 = 19 * g9; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f9_2 = 2 * f9; + crypto_int64 f0g0 = f0 * (crypto_int64) g0; + crypto_int64 f0g1 = f0 * (crypto_int64) g1; + crypto_int64 f0g2 = f0 * (crypto_int64) g2; + crypto_int64 f0g3 = f0 * (crypto_int64) g3; + crypto_int64 f0g4 = f0 * (crypto_int64) g4; + crypto_int64 f0g5 = f0 * (crypto_int64) g5; + crypto_int64 f0g6 = f0 * (crypto_int64) g6; + crypto_int64 f0g7 = f0 * (crypto_int64) g7; + crypto_int64 f0g8 = f0 * (crypto_int64) g8; + crypto_int64 f0g9 = f0 * (crypto_int64) g9; + crypto_int64 f1g0 = f1 * (crypto_int64) g0; + crypto_int64 f1g1_2 = f1_2 * (crypto_int64) g1; + crypto_int64 f1g2 = f1 * (crypto_int64) g2; + crypto_int64 f1g3_2 = f1_2 * (crypto_int64) g3; + crypto_int64 f1g4 = f1 * (crypto_int64) g4; + crypto_int64 f1g5_2 = f1_2 * (crypto_int64) g5; + crypto_int64 f1g6 = f1 * (crypto_int64) g6; + crypto_int64 f1g7_2 = f1_2 * (crypto_int64) g7; + crypto_int64 f1g8 = f1 * (crypto_int64) g8; + crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19; + crypto_int64 f2g0 = f2 * (crypto_int64) g0; + crypto_int64 f2g1 = f2 * (crypto_int64) g1; + crypto_int64 f2g2 = f2 * (crypto_int64) g2; + crypto_int64 f2g3 = f2 * (crypto_int64) g3; + crypto_int64 f2g4 = f2 * (crypto_int64) g4; + crypto_int64 f2g5 = f2 * (crypto_int64) g5; + crypto_int64 f2g6 = f2 * (crypto_int64) g6; + crypto_int64 f2g7 = f2 * (crypto_int64) g7; + crypto_int64 f2g8_19 = f2 * (crypto_int64) g8_19; + crypto_int64 f2g9_19 = f2 * (crypto_int64) g9_19; + crypto_int64 f3g0 = f3 * (crypto_int64) g0; + crypto_int64 f3g1_2 = f3_2 * (crypto_int64) g1; + crypto_int64 f3g2 = f3 * (crypto_int64) g2; + crypto_int64 f3g3_2 = f3_2 * (crypto_int64) g3; + crypto_int64 f3g4 = f3 * (crypto_int64) g4; + crypto_int64 f3g5_2 = f3_2 * (crypto_int64) g5; + crypto_int64 f3g6 = f3 * (crypto_int64) g6; + crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19; + crypto_int64 f3g8_19 = f3 * (crypto_int64) g8_19; + crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19; + crypto_int64 f4g0 = f4 * (crypto_int64) g0; + crypto_int64 f4g1 = f4 * (crypto_int64) g1; + crypto_int64 f4g2 = f4 * (crypto_int64) g2; + crypto_int64 f4g3 = f4 * (crypto_int64) g3; + crypto_int64 f4g4 = f4 * (crypto_int64) g4; + crypto_int64 f4g5 = f4 * (crypto_int64) g5; + crypto_int64 f4g6_19 = f4 * (crypto_int64) g6_19; + crypto_int64 f4g7_19 = f4 * (crypto_int64) g7_19; + crypto_int64 f4g8_19 = f4 * (crypto_int64) g8_19; + crypto_int64 f4g9_19 = f4 * (crypto_int64) g9_19; + crypto_int64 f5g0 = f5 * (crypto_int64) g0; + crypto_int64 f5g1_2 = f5_2 * (crypto_int64) g1; + crypto_int64 f5g2 = f5 * (crypto_int64) g2; + crypto_int64 f5g3_2 = f5_2 * (crypto_int64) g3; + crypto_int64 f5g4 = f5 * (crypto_int64) g4; + crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19; + crypto_int64 f5g6_19 = f5 * (crypto_int64) g6_19; + crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19; + crypto_int64 f5g8_19 = f5 * (crypto_int64) g8_19; + crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19; + crypto_int64 f6g0 = f6 * (crypto_int64) g0; + crypto_int64 f6g1 = f6 * (crypto_int64) g1; + crypto_int64 f6g2 = f6 * (crypto_int64) g2; + crypto_int64 f6g3 = f6 * (crypto_int64) g3; + crypto_int64 f6g4_19 = f6 * (crypto_int64) g4_19; + crypto_int64 f6g5_19 = f6 * (crypto_int64) g5_19; + crypto_int64 f6g6_19 = f6 * (crypto_int64) g6_19; + crypto_int64 f6g7_19 = f6 * (crypto_int64) g7_19; + crypto_int64 f6g8_19 = f6 * (crypto_int64) g8_19; + crypto_int64 f6g9_19 = f6 * (crypto_int64) g9_19; + crypto_int64 f7g0 = f7 * (crypto_int64) g0; + crypto_int64 f7g1_2 = f7_2 * (crypto_int64) g1; + crypto_int64 f7g2 = f7 * (crypto_int64) g2; + crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19; + crypto_int64 f7g4_19 = f7 * (crypto_int64) g4_19; + crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19; + crypto_int64 f7g6_19 = f7 * (crypto_int64) g6_19; + crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19; + crypto_int64 f7g8_19 = f7 * (crypto_int64) g8_19; + crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19; + crypto_int64 f8g0 = f8 * (crypto_int64) g0; + crypto_int64 f8g1 = f8 * (crypto_int64) g1; + crypto_int64 f8g2_19 = f8 * (crypto_int64) g2_19; + crypto_int64 f8g3_19 = f8 * (crypto_int64) g3_19; + crypto_int64 f8g4_19 = f8 * (crypto_int64) g4_19; + crypto_int64 f8g5_19 = f8 * (crypto_int64) g5_19; + crypto_int64 f8g6_19 = f8 * (crypto_int64) g6_19; + crypto_int64 f8g7_19 = f8 * (crypto_int64) g7_19; + crypto_int64 f8g8_19 = f8 * (crypto_int64) g8_19; + crypto_int64 f8g9_19 = f8 * (crypto_int64) g9_19; + crypto_int64 f9g0 = f9 * (crypto_int64) g0; + crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19; + crypto_int64 f9g2_19 = f9 * (crypto_int64) g2_19; + crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19; + crypto_int64 f9g4_19 = f9 * (crypto_int64) g4_19; + crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19; + crypto_int64 f9g6_19 = f9 * (crypto_int64) g6_19; + crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19; + crypto_int64 f9g8_19 = f9 * (crypto_int64) g8_19; + crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19; + crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38; + crypto_int64 h1 = f0g1+f1g0 +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19; + crypto_int64 h2 = f0g2+f1g1_2 +f2g0 +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38; + crypto_int64 h3 = f0g3+f1g2 +f2g1 +f3g0 +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19; + crypto_int64 h4 = f0g4+f1g3_2 +f2g2 +f3g1_2 +f4g0 +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38; + crypto_int64 h5 = f0g5+f1g4 +f2g3 +f3g2 +f4g1 +f5g0 +f6g9_19+f7g8_19+f8g7_19+f9g6_19; + crypto_int64 h6 = f0g6+f1g5_2 +f2g4 +f3g3_2 +f4g2 +f5g1_2 +f6g0 +f7g9_38+f8g8_19+f9g7_38; + crypto_int64 h7 = f0g7+f1g6 +f2g5 +f3g4 +f4g3 +f5g2 +f6g1 +f7g0 +f8g9_19+f9g8_19; + crypto_int64 h8 = f0g8+f1g7_2 +f2g6 +f3g5_2 +f4g4 +f5g3_2 +f6g2 +f7g1_2 +f8g0 +f9g9_38; + crypto_int64 h9 = f0g9+f1g8 +f2g7 +f3g6 +f4g5 +f5g4 +f6g3 +f7g2 +f8g1 +f9g0 ; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + /* + |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38)) + i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8 + |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19)) + i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9 + */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.71*2^59 */ + /* |h5| <= 1.71*2^59 */ + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + /* |h1| <= 2^24; from now on fits into int32 */ + /* |h5| <= 2^24; from now on fits into int32 */ + /* |h2| <= 1.41*2^60 */ + /* |h6| <= 1.41*2^60 */ + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + /* |h2| <= 2^25; from now on fits into int32 unchanged */ + /* |h6| <= 2^25; from now on fits into int32 unchanged */ + /* |h3| <= 1.71*2^59 */ + /* |h7| <= 1.71*2^59 */ + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + /* |h3| <= 2^24; from now on fits into int32 unchanged */ + /* |h7| <= 2^24; from now on fits into int32 unchanged */ + /* |h4| <= 1.72*2^34 */ + /* |h8| <= 1.41*2^60 */ + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + /* |h4| <= 2^25; from now on fits into int32 unchanged */ + /* |h8| <= 2^25; from now on fits into int32 unchanged */ + /* |h5| <= 1.01*2^24 */ + /* |h9| <= 1.71*2^59 */ + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.1*2^39 */ + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_neg.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_neg.c new file mode 100644 index 000000000..2078ce528 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_neg.c @@ -0,0 +1,45 @@ +#include "fe.h" + +/* +h = -f + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +*/ + +void fe_neg(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 h0 = -f0; + crypto_int32 h1 = -f1; + crypto_int32 h2 = -f2; + crypto_int32 h3 = -f3; + crypto_int32 h4 = -f4; + crypto_int32 h5 = -f5; + crypto_int32 h6 = -f6; + crypto_int32 h7 = -f7; + crypto_int32 h8 = -f8; + crypto_int32 h9 = -f9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_pow22523.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_pow22523.c new file mode 100644 index 000000000..56675a590 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_pow22523.c @@ -0,0 +1,13 @@ +#include "fe.h" + +void fe_pow22523(fe out,const fe z) +{ + fe t0; + fe t1; + fe t2; + int i; + +#include "pow22523.h" + + return; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq.c new file mode 100644 index 000000000..8dd119841 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq.c @@ -0,0 +1,149 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +void fe_sq(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq2.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq2.c new file mode 100644 index 000000000..026ed3aac --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sq2.c @@ -0,0 +1,160 @@ +#include "fe.h" +#include "crypto_int64.h" + +/* +h = 2 * f * f +Can overlap h with f. + +Preconditions: + |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. + +Postconditions: + |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +*/ + +/* +See fe_mul.c for discussion of implementation strategy. +*/ + +void fe_sq2(fe h,const fe f) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 f0_2 = 2 * f0; + crypto_int32 f1_2 = 2 * f1; + crypto_int32 f2_2 = 2 * f2; + crypto_int32 f3_2 = 2 * f3; + crypto_int32 f4_2 = 2 * f4; + crypto_int32 f5_2 = 2 * f5; + crypto_int32 f6_2 = 2 * f6; + crypto_int32 f7_2 = 2 * f7; + crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */ + crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */ + crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */ + crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */ + crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */ + crypto_int64 f0f0 = f0 * (crypto_int64) f0; + crypto_int64 f0f1_2 = f0_2 * (crypto_int64) f1; + crypto_int64 f0f2_2 = f0_2 * (crypto_int64) f2; + crypto_int64 f0f3_2 = f0_2 * (crypto_int64) f3; + crypto_int64 f0f4_2 = f0_2 * (crypto_int64) f4; + crypto_int64 f0f5_2 = f0_2 * (crypto_int64) f5; + crypto_int64 f0f6_2 = f0_2 * (crypto_int64) f6; + crypto_int64 f0f7_2 = f0_2 * (crypto_int64) f7; + crypto_int64 f0f8_2 = f0_2 * (crypto_int64) f8; + crypto_int64 f0f9_2 = f0_2 * (crypto_int64) f9; + crypto_int64 f1f1_2 = f1_2 * (crypto_int64) f1; + crypto_int64 f1f2_2 = f1_2 * (crypto_int64) f2; + crypto_int64 f1f3_4 = f1_2 * (crypto_int64) f3_2; + crypto_int64 f1f4_2 = f1_2 * (crypto_int64) f4; + crypto_int64 f1f5_4 = f1_2 * (crypto_int64) f5_2; + crypto_int64 f1f6_2 = f1_2 * (crypto_int64) f6; + crypto_int64 f1f7_4 = f1_2 * (crypto_int64) f7_2; + crypto_int64 f1f8_2 = f1_2 * (crypto_int64) f8; + crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38; + crypto_int64 f2f2 = f2 * (crypto_int64) f2; + crypto_int64 f2f3_2 = f2_2 * (crypto_int64) f3; + crypto_int64 f2f4_2 = f2_2 * (crypto_int64) f4; + crypto_int64 f2f5_2 = f2_2 * (crypto_int64) f5; + crypto_int64 f2f6_2 = f2_2 * (crypto_int64) f6; + crypto_int64 f2f7_2 = f2_2 * (crypto_int64) f7; + crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19; + crypto_int64 f2f9_38 = f2 * (crypto_int64) f9_38; + crypto_int64 f3f3_2 = f3_2 * (crypto_int64) f3; + crypto_int64 f3f4_2 = f3_2 * (crypto_int64) f4; + crypto_int64 f3f5_4 = f3_2 * (crypto_int64) f5_2; + crypto_int64 f3f6_2 = f3_2 * (crypto_int64) f6; + crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38; + crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19; + crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38; + crypto_int64 f4f4 = f4 * (crypto_int64) f4; + crypto_int64 f4f5_2 = f4_2 * (crypto_int64) f5; + crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19; + crypto_int64 f4f7_38 = f4 * (crypto_int64) f7_38; + crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19; + crypto_int64 f4f9_38 = f4 * (crypto_int64) f9_38; + crypto_int64 f5f5_38 = f5 * (crypto_int64) f5_38; + crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19; + crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38; + crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19; + crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38; + crypto_int64 f6f6_19 = f6 * (crypto_int64) f6_19; + crypto_int64 f6f7_38 = f6 * (crypto_int64) f7_38; + crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19; + crypto_int64 f6f9_38 = f6 * (crypto_int64) f9_38; + crypto_int64 f7f7_38 = f7 * (crypto_int64) f7_38; + crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19; + crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38; + crypto_int64 f8f8_19 = f8 * (crypto_int64) f8_19; + crypto_int64 f8f9_38 = f8 * (crypto_int64) f9_38; + crypto_int64 f9f9_38 = f9 * (crypto_int64) f9_38; + crypto_int64 h0 = f0f0 +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38; + crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38; + crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19; + crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38; + crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2 +f5f9_76+f6f8_38+f7f7_38; + crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38; + crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19; + crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38; + crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4 +f9f9_38; + crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + + h0 += h0; + h1 += h1; + h2 += h2; + h3 += h3; + h4 += h4; + h5 += h5; + h6 += h6; + h7 += h7; + h8 += h8; + h9 += h9; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + + carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + + carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + + carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + + carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sub.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sub.c new file mode 100644 index 000000000..6e26b7df8 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_sub.c @@ -0,0 +1,57 @@ +#include "fe.h" + +/* +h = f - g +Can overlap h with f or g. + +Preconditions: + |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. + +Postconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +*/ + +void fe_sub(fe h,const fe f,const fe g) +{ + crypto_int32 f0 = f[0]; + crypto_int32 f1 = f[1]; + crypto_int32 f2 = f[2]; + crypto_int32 f3 = f[3]; + crypto_int32 f4 = f[4]; + crypto_int32 f5 = f[5]; + crypto_int32 f6 = f[6]; + crypto_int32 f7 = f[7]; + crypto_int32 f8 = f[8]; + crypto_int32 f9 = f[9]; + crypto_int32 g0 = g[0]; + crypto_int32 g1 = g[1]; + crypto_int32 g2 = g[2]; + crypto_int32 g3 = g[3]; + crypto_int32 g4 = g[4]; + crypto_int32 g5 = g[5]; + crypto_int32 g6 = g[6]; + crypto_int32 g7 = g[7]; + crypto_int32 g8 = g[8]; + crypto_int32 g9 = g[9]; + crypto_int32 h0 = f0 - g0; + crypto_int32 h1 = f1 - g1; + crypto_int32 h2 = f2 - g2; + crypto_int32 h3 = f3 - g3; + crypto_int32 h4 = f4 - g4; + crypto_int32 h5 = f5 - g5; + crypto_int32 h6 = f6 - g6; + crypto_int32 h7 = f7 - g7; + crypto_int32 h8 = f8 - g8; + crypto_int32 h9 = f9 - g9; + h[0] = h0; + h[1] = h1; + h[2] = h2; + h[3] = h3; + h[4] = h4; + h[5] = h5; + h[6] = h6; + h[7] = h7; + h[8] = h8; + h[9] = h9; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_tobytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_tobytes.c new file mode 100644 index 000000000..0a63baf9c --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/fe_tobytes.c @@ -0,0 +1,119 @@ +#include "fe.h" + +/* +Preconditions: + |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. + +Write p=2^255-19; q=floor(h/p). +Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). + +Proof: + Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. + Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4. + + Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). + Then 0<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) +{ + crypto_int32 h0 = h[0]; + crypto_int32 h1 = h[1]; + crypto_int32 h2 = h[2]; + crypto_int32 h3 = h[3]; + crypto_int32 h4 = h[4]; + crypto_int32 h5 = h[5]; + crypto_int32 h6 = h[6]; + crypto_int32 h7 = h[7]; + crypto_int32 h8 = h[8]; + crypto_int32 h9 = h[9]; + crypto_int32 q; + crypto_int32 carry0; + crypto_int32 carry1; + crypto_int32 carry2; + crypto_int32 carry3; + crypto_int32 carry4; + crypto_int32 carry5; + crypto_int32 carry6; + crypto_int32 carry7; + crypto_int32 carry8; + crypto_int32 carry9; + + q = (19 * h9 + (((crypto_int32) 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; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge.h new file mode 100644 index 000000000..55e95f95b --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge.h @@ -0,0 +1,95 @@ +#ifndef GE_H +#define GE_H + +/* +ge means group element. + +Here the group is the set of pairs (x,y) of field elements (see fe.h) +satisfying -x^2 + y^2 = 1 + d x^2y^2 +where d = -121665/121666. + +Representations: + ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z + ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT + ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T + ge_precomp (Duif): (y+x,y-x,2dxy) +*/ + +#include "fe.h" + +typedef struct { + fe X; + fe Y; + fe Z; +} ge_p2; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p3; + +typedef struct { + fe X; + fe Y; + fe Z; + fe T; +} ge_p1p1; + +typedef struct { + fe yplusx; + fe yminusx; + fe xy2d; +} ge_precomp; + +typedef struct { + fe YplusX; + fe YminusX; + fe Z; + fe T2d; +} ge_cached; + +#define ge_frombytes_negate_vartime crypto_sign_ed25519_ref10_ge_frombytes_negate_vartime +#define ge_tobytes crypto_sign_ed25519_ref10_ge_tobytes +#define ge_p3_tobytes crypto_sign_ed25519_ref10_ge_p3_tobytes + +#define ge_p2_0 crypto_sign_ed25519_ref10_ge_p2_0 +#define ge_p3_0 crypto_sign_ed25519_ref10_ge_p3_0 +#define ge_precomp_0 crypto_sign_ed25519_ref10_ge_precomp_0 +#define ge_p3_to_p2 crypto_sign_ed25519_ref10_ge_p3_to_p2 +#define ge_p3_to_cached crypto_sign_ed25519_ref10_ge_p3_to_cached +#define ge_p1p1_to_p2 crypto_sign_ed25519_ref10_ge_p1p1_to_p2 +#define ge_p1p1_to_p3 crypto_sign_ed25519_ref10_ge_p1p1_to_p3 +#define ge_p2_dbl crypto_sign_ed25519_ref10_ge_p2_dbl +#define ge_p3_dbl crypto_sign_ed25519_ref10_ge_p3_dbl + +#define ge_madd crypto_sign_ed25519_ref10_ge_madd +#define ge_msub crypto_sign_ed25519_ref10_ge_msub +#define ge_add crypto_sign_ed25519_ref10_ge_add +#define ge_sub crypto_sign_ed25519_ref10_ge_sub +#define ge_scalarmult_base crypto_sign_ed25519_ref10_ge_scalarmult_base +#define ge_double_scalarmult_vartime crypto_sign_ed25519_ref10_ge_double_scalarmult_vartime + +extern void ge_tobytes(unsigned char *,const ge_p2 *); +extern void ge_p3_tobytes(unsigned char *,const ge_p3 *); +extern int ge_frombytes_negate_vartime(ge_p3 *,const unsigned char *); + +extern void ge_p2_0(ge_p2 *); +extern void ge_p3_0(ge_p3 *); +extern void ge_precomp_0(ge_precomp *); +extern void ge_p3_to_p2(ge_p2 *,const ge_p3 *); +extern void ge_p3_to_cached(ge_cached *,const ge_p3 *); +extern void ge_p1p1_to_p2(ge_p2 *,const ge_p1p1 *); +extern void ge_p1p1_to_p3(ge_p3 *,const ge_p1p1 *); +extern void ge_p2_dbl(ge_p1p1 *,const ge_p2 *); +extern void ge_p3_dbl(ge_p1p1 *,const ge_p3 *); + +extern void ge_madd(ge_p1p1 *,const ge_p3 *,const ge_precomp *); +extern void ge_msub(ge_p1p1 *,const ge_p3 *,const ge_precomp *); +extern void ge_add(ge_p1p1 *,const ge_p3 *,const ge_cached *); +extern void ge_sub(ge_p1p1 *,const ge_p3 *,const ge_cached *); +extern void ge_scalarmult_base(ge_p3 *,const unsigned char *); +extern void ge_double_scalarmult_vartime(ge_p2 *,const unsigned char *,const ge_p3 *,const unsigned char *); + +#endif diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.c new file mode 100644 index 000000000..da7ff5d2e --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +#include "ge_add.h" +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.h new file mode 100644 index 000000000..7481f8ffb --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.h @@ -0,0 +1,97 @@ + +/* qhasm: enter ge_add */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*YpX2 */ +/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YpX2=fe#15); */ +/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YpX2=q->YplusX); */ +fe_mul(r->Z,r->X,q->YplusX); + +/* qhasm: B = YmX1*YmX2 */ +/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YmX2=fe#16); */ +/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YmX2=q->YminusX); */ +fe_mul(r->Y,r->Y,q->YminusX); + +/* qhasm: C = T2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */ +/* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */ +fe_mul(r->T,q->T2d,p->T); + +/* qhasm: ZZ = Z1*Z2 */ +/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */ +/* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */ +fe_mul(r->X,p->Z,q->Z); + +/* qhasm: D = 2*ZZ */ +/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */ +/* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */ +fe_add(t0,r->X,r->X); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D+C */ +/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */ +fe_add(r->Z,t0,r->T); + +/* qhasm: T3 = D-C */ +/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */ +fe_sub(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.q new file mode 100644 index 000000000..a6572ab0f --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_add.q @@ -0,0 +1,49 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: +return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave: + +h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);: +h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);: +h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);: +h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);: +h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);: + +: + +enter ge_add + +fe X1 +fe Y1 +fe Z1 +fe Z2 +fe T1 +fe ZZ +fe YpX2 +fe YmX2 +fe T2d2 +fe X3 +fe Y3 +fe Z3 +fe T3 +fe YpX1 +fe YmX1 +fe A +fe B +fe C +fe D + +YpX1 = Y1+X1 +YmX1 = Y1-X1 +A = YpX1*YpX2 +B = YmX1*YmX2 +C = T2d2*T1 +ZZ = Z1*Z2 +D = 2*ZZ +X3 = A-B +Y3 = A+B +Z3 = D+C +T3 = D-C + +return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_double_scalarmult.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_double_scalarmult.c new file mode 100644 index 000000000..f8bf4bf77 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_double_scalarmult.c @@ -0,0 +1,96 @@ +#include "ge.h" + +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] = { +#include "base2.h" +} ; + +/* +r = a * A + b * B +where a = a[0]+256*a[1]+...+256^31 a[31]. +and b = b[0]+256*b[1]+...+256^31 b[31]. +B is the Ed25519 base point (x,4/5) with x positive. +*/ + +void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b) +{ + signed char aslide[256]; + signed char bslide[256]; + ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */ + ge_p1p1 t; + ge_p3 u; + ge_p3 A2; + int i; + + slide(aslide,a); + slide(bslide,b); + + ge_p3_to_cached(&Ai[0],A); + ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t); + ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u); + ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u); + ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u); + ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u); + ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u); + ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u); + ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u); + + ge_p2_0(r); + + for (i = 255;i >= 0;--i) { + if (aslide[i] || bslide[i]) break; + } + + for (;i >= 0;--i) { + ge_p2_dbl(&t,r); + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u,&t); + ge_add(&t,&u,&Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u,&t); + ge_sub(&t,&u,&Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u,&t); + ge_madd(&t,&u,&Bi[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u,&t); + ge_msub(&t,&u,&Bi[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r,&t); + } +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_frombytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_frombytes.c new file mode 100644 index 000000000..1a059ee93 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_frombytes.c @@ -0,0 +1,50 @@ +#include "ge.h" + +static const fe d = { +#include "d.h" +} ; + +static const fe sqrtm1 = { +#include "sqrtm1.h" +} ; + +int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s) +{ + fe u; + fe v; + fe v3; + fe vxx; + fe check; + + fe_frombytes(h->Y,s); + fe_1(h->Z); + fe_sq(u,h->Y); + fe_mul(v,u,d); + fe_sub(u,u,h->Z); /* u = y^2-1 */ + fe_add(v,v,h->Z); /* v = dy^2+1 */ + + fe_sq(v3,v); + fe_mul(v3,v3,v); /* v3 = v^3 */ + fe_sq(h->X,v3); + fe_mul(h->X,h->X,v); + fe_mul(h->X,h->X,u); /* x = uv^7 */ + + fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */ + fe_mul(h->X,h->X,v3); + fe_mul(h->X,h->X,u); /* x = uv^3(uv^7)^((q-5)/8) */ + + fe_sq(vxx,h->X); + fe_mul(vxx,vxx,v); + fe_sub(check,vxx,u); /* vx^2-u */ + if (fe_isnonzero(check)) { + fe_add(check,vxx,u); /* vx^2+u */ + if (fe_isnonzero(check)) return -1; + fe_mul(h->X,h->X,sqrtm1); + } + + if (fe_isnegative(h->X) == (s[31] >> 7)) + fe_neg(h->X,h->X); + + fe_mul(h->T,h->X,h->Y); + return 0; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.c new file mode 100644 index 000000000..622571774 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) +{ + fe t0; +#include "ge_madd.h" +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.h new file mode 100644 index 000000000..ecae84952 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.h @@ -0,0 +1,88 @@ + +/* qhasm: enter ge_madd */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ypx2 */ + +/* qhasm: fe ymx2 */ + +/* qhasm: fe xy2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*ypx2 */ +/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ypx2=fe#15); */ +/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ypx2=q->yplusx); */ +fe_mul(r->Z,r->X,q->yplusx); + +/* qhasm: B = YmX1*ymx2 */ +/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ymx2=fe#16); */ +/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ymx2=q->yminusx); */ +fe_mul(r->Y,r->Y,q->yminusx); + +/* qhasm: C = xy2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */ +/* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */ +fe_mul(r->T,q->xy2d,p->T); + +/* qhasm: D = 2*Z1 */ +/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */ +/* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */ +fe_add(t0,p->Z,p->Z); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D+C */ +/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */ +fe_add(r->Z,t0,r->T); + +/* qhasm: T3 = D-C */ +/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */ +fe_sub(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.q new file mode 100644 index 000000000..aa3db454e --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_madd.q @@ -0,0 +1,46 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: +return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave: + +h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);: +h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);: +h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);: +h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);: +h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);: + +: + +enter ge_madd + +fe X1 +fe Y1 +fe Z1 +fe T1 +fe ypx2 +fe ymx2 +fe xy2d2 +fe X3 +fe Y3 +fe Z3 +fe T3 +fe YpX1 +fe YmX1 +fe A +fe B +fe C +fe D + +YpX1 = Y1+X1 +YmX1 = Y1-X1 +A = YpX1*ypx2 +B = YmX1*ymx2 +C = xy2d2*T1 +D = 2*Z1 +X3 = A-B +Y3 = A+B +Z3 = D+C +T3 = D-C + +return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.c new file mode 100644 index 000000000..741ecbf11 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p - q +*/ + +void ge_msub(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q) +{ + fe t0; +#include "ge_msub.h" +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.h new file mode 100644 index 000000000..500f986ba --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.h @@ -0,0 +1,88 @@ + +/* qhasm: enter ge_msub */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ypx2 */ + +/* qhasm: fe ymx2 */ + +/* qhasm: fe xy2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*ymx2 */ +/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ymx2=fe#16); */ +/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ymx2=q->yminusx); */ +fe_mul(r->Z,r->X,q->yminusx); + +/* qhasm: B = YmX1*ypx2 */ +/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ypx2=fe#15); */ +/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ypx2=q->yplusx); */ +fe_mul(r->Y,r->Y,q->yplusx); + +/* qhasm: C = xy2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */ +/* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */ +fe_mul(r->T,q->xy2d,p->T); + +/* qhasm: D = 2*Z1 */ +/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */ +/* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */ +fe_add(t0,p->Z,p->Z); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D-C */ +/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */ +fe_sub(r->Z,t0,r->T); + +/* qhasm: T3 = D+C */ +/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */ +fe_add(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.q new file mode 100644 index 000000000..e3cadd882 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_msub.q @@ -0,0 +1,46 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->yplusx:q->yminusx:q->xy2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>ypx2=fe#15:>ymx2=fe#16:>xy2d2=fe#17: +return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave: + +h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);: +h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);: +h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);: +h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);: +h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);: + +: + +enter ge_msub + +fe X1 +fe Y1 +fe Z1 +fe T1 +fe ypx2 +fe ymx2 +fe xy2d2 +fe X3 +fe Y3 +fe Z3 +fe T3 +fe YpX1 +fe YmX1 +fe A +fe B +fe C +fe D + +YpX1 = Y1+X1 +YmX1 = Y1-X1 +A = YpX1*ymx2 +B = YmX1*ypx2 +C = xy2d2*T1 +D = 2*Z1 +X3 = A-B +Y3 = A+B +Z3 = D-C +T3 = D+C + +return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p2.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p2.c new file mode 100644 index 000000000..9bb5013d6 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p2.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +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); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p3.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p3.c new file mode 100644 index 000000000..2f57b1096 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p1p1_to_p3.c @@ -0,0 +1,13 @@ +#include "ge.h" + +/* +r = p +*/ + +extern void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p) +{ + fe_mul(r->X,p->X,p->T); + fe_mul(r->Y,p->Y,p->Z); + fe_mul(r->Z,p->Z,p->T); + fe_mul(r->T,p->X,p->Y); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_0.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_0.c new file mode 100644 index 000000000..6191d1e6e --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_0.c @@ -0,0 +1,8 @@ +#include "ge.h" + +void ge_p2_0(ge_p2 *h) +{ + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.c new file mode 100644 index 000000000..2e332b5ce --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = 2 * p +*/ + +void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p) +{ + fe t0; +#include "ge_p2_dbl.h" +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.h new file mode 100644 index 000000000..128efed90 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.h @@ -0,0 +1,73 @@ + +/* qhasm: enter ge_p2_dbl */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe A */ + +/* qhasm: fe AA */ + +/* qhasm: fe XX */ + +/* qhasm: fe YY */ + +/* qhasm: fe B */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: XX=X1^2 */ +/* asm 1: fe_sq(>XX=fe#1,<X1=fe#11); */ +/* asm 2: fe_sq(>XX=r->X,<X1=p->X); */ +fe_sq(r->X,p->X); + +/* qhasm: YY=Y1^2 */ +/* asm 1: fe_sq(>YY=fe#3,<Y1=fe#12); */ +/* asm 2: fe_sq(>YY=r->Z,<Y1=p->Y); */ +fe_sq(r->Z,p->Y); + +/* qhasm: B=2*Z1^2 */ +/* asm 1: fe_sq2(>B=fe#4,<Z1=fe#13); */ +/* asm 2: fe_sq2(>B=r->T,<Z1=p->Z); */ +fe_sq2(r->T,p->Z); + +/* qhasm: A=X1+Y1 */ +/* asm 1: fe_add(>A=fe#2,<X1=fe#11,<Y1=fe#12); */ +/* asm 2: fe_add(>A=r->Y,<X1=p->X,<Y1=p->Y); */ +fe_add(r->Y,p->X,p->Y); + +/* qhasm: AA=A^2 */ +/* asm 1: fe_sq(>AA=fe#5,<A=fe#2); */ +/* asm 2: fe_sq(>AA=t0,<A=r->Y); */ +fe_sq(t0,r->Y); + +/* qhasm: Y3=YY+XX */ +/* asm 1: fe_add(>Y3=fe#2,<YY=fe#3,<XX=fe#1); */ +/* asm 2: fe_add(>Y3=r->Y,<YY=r->Z,<XX=r->X); */ +fe_add(r->Y,r->Z,r->X); + +/* qhasm: Z3=YY-XX */ +/* asm 1: fe_sub(>Z3=fe#3,<YY=fe#3,<XX=fe#1); */ +/* asm 2: fe_sub(>Z3=r->Z,<YY=r->Z,<XX=r->X); */ +fe_sub(r->Z,r->Z,r->X); + +/* qhasm: X3=AA-Y3 */ +/* asm 1: fe_sub(>X3=fe#1,<AA=fe#5,<Y3=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<AA=t0,<Y3=r->Y); */ +fe_sub(r->X,t0,r->Y); + +/* qhasm: T3=B-Z3 */ +/* asm 1: fe_sub(>T3=fe#4,<B=fe#4,<Z3=fe#3); */ +/* asm 2: fe_sub(>T3=r->T,<B=r->T,<Z3=r->Z); */ +fe_sub(r->T,r->T,r->Z); + +/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.q new file mode 100644 index 000000000..170d42f9a --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p2_dbl.q @@ -0,0 +1,41 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13: +return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave: + +h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);: +h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);: +h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);: +h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);: +h=2*f^2:<f=fe:>h=fe:asm/fe_sq2(>h,<f);: +h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);: + +: + +enter ge_p2_dbl + +fe X1 +fe Y1 +fe Z1 +fe A +fe AA +fe XX +fe YY +fe B +fe X3 +fe Y3 +fe Z3 +fe T3 + +XX=X1^2 +YY=Y1^2 +B=2*Z1^2 +A=X1+Y1 +AA=A^2 +Y3=YY+XX +Z3=YY-XX +X3=AA-Y3 +T3=B-Z3 + +return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_0.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_0.c new file mode 100644 index 000000000..401b2935a --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_0.c @@ -0,0 +1,9 @@ +#include "ge.h" + +void ge_p3_0(ge_p3 *h) +{ + fe_0(h->X); + fe_1(h->Y); + fe_1(h->Z); + fe_0(h->T); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_dbl.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_dbl.c new file mode 100644 index 000000000..0d8a05915 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_dbl.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = 2 * p +*/ + +void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p) +{ + ge_p2 q; + ge_p3_to_p2(&q,p); + ge_p2_dbl(r,&q); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_cached.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_cached.c new file mode 100644 index 000000000..bde64228c --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_cached.c @@ -0,0 +1,17 @@ +#include "ge.h" + +/* +r = p +*/ + +static const fe d2 = { +#include "d2.h" +} ; + +extern void ge_p3_to_cached(ge_cached *r,const ge_p3 *p) +{ + fe_add(r->YplusX,p->Y,p->X); + fe_sub(r->YminusX,p->Y,p->X); + fe_copy(r->Z,p->Z); + fe_mul(r->T2d,p->T,d2); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_p2.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_p2.c new file mode 100644 index 000000000..e532a9e4c --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_to_p2.c @@ -0,0 +1,12 @@ +#include "ge.h" + +/* +r = p +*/ + +extern void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p) +{ + fe_copy(r->X,p->X); + fe_copy(r->Y,p->Y); + fe_copy(r->Z,p->Z); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_tobytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_tobytes.c new file mode 100644 index 000000000..21cb2fc65 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_p3_tobytes.c @@ -0,0 +1,14 @@ +#include "ge.h" + +void ge_p3_tobytes(unsigned char *s,const ge_p3 *h) +{ + fe recip; + fe x; + fe y; + + fe_invert(recip,h->Z); + fe_mul(x,h->X,recip); + fe_mul(y,h->Y,recip); + fe_tobytes(s,y); + s[31] ^= fe_isnegative(x) << 7; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_precomp_0.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_precomp_0.c new file mode 100644 index 000000000..2e218861d --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_precomp_0.c @@ -0,0 +1,8 @@ +#include "ge.h" + +void ge_precomp_0(ge_precomp *h) +{ + fe_1(h->yplusx); + fe_1(h->yminusx); + fe_0(h->xy2d); +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_scalarmult_base.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_scalarmult_base.c new file mode 100644 index 000000000..421e4fa0f --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_scalarmult_base.c @@ -0,0 +1,105 @@ +#include "ge.h" +#include "crypto_uint32.h" + +static unsigned char equal(signed char b,signed char c) +{ + unsigned char ub = b; + unsigned char uc = c; + unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */ + crypto_uint32 y = x; /* 0: yes; 1..255: no */ + y -= 1; /* 4294967295: yes; 0..254: no */ + y >>= 31; /* 1: yes; 0: no */ + return y; +} + +static unsigned char negative(signed char b) +{ + unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */ + x >>= 63; /* 1: yes; 0: no */ + return x; +} + +static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b) +{ + fe_cmov(t->yplusx,u->yplusx,b); + fe_cmov(t->yminusx,u->yminusx,b); + fe_cmov(t->xy2d,u->xy2d,b); +} + +/* base[i][j] = (j+1)*256^i*B */ +static ge_precomp base[32][8] = { +#include "base.h" +} ; + +static void select(ge_precomp *t,int pos,signed char b) +{ + ge_precomp minust; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 1); + + ge_precomp_0(t); + cmov(t,&base[pos][0],equal(babs,1)); + cmov(t,&base[pos][1],equal(babs,2)); + cmov(t,&base[pos][2],equal(babs,3)); + cmov(t,&base[pos][3],equal(babs,4)); + cmov(t,&base[pos][4],equal(babs,5)); + cmov(t,&base[pos][5],equal(babs,6)); + cmov(t,&base[pos][6],equal(babs,7)); + cmov(t,&base[pos][7],equal(babs,8)); + fe_copy(minust.yplusx,t->yminusx); + fe_copy(minust.yminusx,t->yplusx); + fe_neg(minust.xy2d,t->xy2d); + cmov(t,&minust,bnegative); +} + +/* +h = a * B +where a = a[0]+256*a[1]+...+256^31 a[31] +B is the Ed25519 base point (x,4/5) with x positive. + +Preconditions: + a[31] <= 127 +*/ + +void ge_scalarmult_base(ge_p3 *h,const unsigned char *a) +{ + signed char e[64]; + signed char carry; + ge_p1p1 r; + ge_p2 s; + ge_precomp t; + int i; + + for (i = 0;i < 32;++i) { + e[2 * i + 0] = (a[i] >> 0) & 15; + e[2 * i + 1] = (a[i] >> 4) & 15; + } + /* each e[i] is between 0 and 15 */ + /* e[63] is between 0 and 7 */ + + carry = 0; + for (i = 0;i < 63;++i) { + e[i] += carry; + carry = e[i] + 8; + carry >>= 4; + e[i] -= carry << 4; + } + e[63] += carry; + /* each e[i] is between -8 and 8 */ + + ge_p3_0(h); + for (i = 1;i < 64;i += 2) { + select(&t,i / 2,e[i]); + ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); + } + + ge_p3_dbl(&r,h); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r); + ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r); + + for (i = 0;i < 64;i += 2) { + select(&t,i / 2,e[i]); + ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r); + } +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.c new file mode 100644 index 000000000..69f3d5406 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.c @@ -0,0 +1,11 @@ +#include "ge.h" + +/* +r = p - q +*/ + +void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; +#include "ge_sub.h" +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.h new file mode 100644 index 000000000..b4ef1f5dd --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.h @@ -0,0 +1,97 @@ + +/* qhasm: enter ge_sub */ + +/* qhasm: fe X1 */ + +/* qhasm: fe Y1 */ + +/* qhasm: fe Z1 */ + +/* qhasm: fe Z2 */ + +/* qhasm: fe T1 */ + +/* qhasm: fe ZZ */ + +/* qhasm: fe YpX2 */ + +/* qhasm: fe YmX2 */ + +/* qhasm: fe T2d2 */ + +/* qhasm: fe X3 */ + +/* qhasm: fe Y3 */ + +/* qhasm: fe Z3 */ + +/* qhasm: fe T3 */ + +/* qhasm: fe YpX1 */ + +/* qhasm: fe YmX1 */ + +/* qhasm: fe A */ + +/* qhasm: fe B */ + +/* qhasm: fe C */ + +/* qhasm: fe D */ + +/* qhasm: YpX1 = Y1+X1 */ +/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */ +fe_add(r->X,p->Y,p->X); + +/* qhasm: YmX1 = Y1-X1 */ +/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */ +/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */ +fe_sub(r->Y,p->Y,p->X); + +/* qhasm: A = YpX1*YmX2 */ +/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YmX2=fe#16); */ +/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YmX2=q->YminusX); */ +fe_mul(r->Z,r->X,q->YminusX); + +/* qhasm: B = YmX1*YpX2 */ +/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YpX2=fe#15); */ +/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YpX2=q->YplusX); */ +fe_mul(r->Y,r->Y,q->YplusX); + +/* qhasm: C = T2d2*T1 */ +/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */ +/* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */ +fe_mul(r->T,q->T2d,p->T); + +/* qhasm: ZZ = Z1*Z2 */ +/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */ +/* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */ +fe_mul(r->X,p->Z,q->Z); + +/* qhasm: D = 2*ZZ */ +/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */ +/* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */ +fe_add(t0,r->X,r->X); + +/* qhasm: X3 = A-B */ +/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */ +fe_sub(r->X,r->Z,r->Y); + +/* qhasm: Y3 = A+B */ +/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */ +/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */ +fe_add(r->Y,r->Z,r->Y); + +/* qhasm: Z3 = D-C */ +/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */ +fe_sub(r->Z,t0,r->T); + +/* qhasm: T3 = D+C */ +/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */ +/* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */ +fe_add(r->T,t0,r->T); + +/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.q new file mode 100644 index 000000000..2779a4a20 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_sub.q @@ -0,0 +1,49 @@ +:name:fe:r->X:r->Y:r->Z:r->T:t0:t1:t2:t3:t4:t5:p->X:p->Y:p->Z:p->T:q->YplusX:q->YminusX:q->Z:q->T2d: +fe r:var/r=fe: + +enter f:enter/f:>X1=fe#11:>Y1=fe#12:>Z1=fe#13:>T1=fe#14:>YpX2=fe#15:>YmX2=fe#16:>Z2=fe#17:>T2d2=fe#18: +return:nofallthrough:<X3=fe#1:<Y3=fe#2:<Z3=fe#3:<T3=fe#4:leave: + +h=f+g:<f=fe:<g=fe:>h=fe:asm/fe_add(>h,<f,<g);: +h=f-g:<f=fe:<g=fe:>h=fe:asm/fe_sub(>h,<f,<g);: +h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);: +h=f^2:<f=fe:>h=fe:asm/fe_sq(>h,<f);: +h=2*g:<g=fe:>h=fe:asm/fe_add(>h,<g,<g);: + +: + +enter ge_sub + +fe X1 +fe Y1 +fe Z1 +fe Z2 +fe T1 +fe ZZ +fe YpX2 +fe YmX2 +fe T2d2 +fe X3 +fe Y3 +fe Z3 +fe T3 +fe YpX1 +fe YmX1 +fe A +fe B +fe C +fe D + +YpX1 = Y1+X1 +YmX1 = Y1-X1 +A = YpX1*YmX2 +B = YmX1*YpX2 +C = T2d2*T1 +ZZ = Z1*Z2 +D = 2*ZZ +X3 = A-B +Y3 = A+B +Z3 = D-C +T3 = D+C + +return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_tobytes.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_tobytes.c new file mode 100644 index 000000000..31b3d33e0 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/ge_tobytes.c @@ -0,0 +1,14 @@ +#include "ge.h" + +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; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/keypair.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/keypair.c new file mode 100644 index 000000000..ac6cea2b7 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/keypair.c @@ -0,0 +1,23 @@ +#include <string.h> +#include "randombytes.h" +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "ge.h" + +int crypto_sign_keypair(unsigned char *pk,unsigned char *sk) +{ + unsigned char az[64]; + ge_p3 A; + + randombytes(sk,32); + crypto_hash_sha512(az,sk,32); + az[0] &= 248; + az[31] &= 63; + az[31] |= 64; + + ge_scalarmult_base(&A,az); + ge_p3_tobytes(pk,&A); + + memmove(sk + 32,pk,32); + return 0; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/open.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/open.c new file mode 100644 index 000000000..1ec4cd2bf --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/open.c @@ -0,0 +1,48 @@ +#include <string.h> +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "crypto_verify_32.h" +#include "ge.h" +#include "sc.h" + +int crypto_sign_open( + unsigned char *m,unsigned long long *mlen, + const unsigned char *sm,unsigned long long smlen, + const unsigned char *pk +) +{ + unsigned char pkcopy[32]; + unsigned char rcopy[32]; + unsigned char scopy[32]; + unsigned char h[64]; + unsigned char rcheck[32]; + ge_p3 A; + ge_p2 R; + + if (smlen < 64) goto badsig; + if (sm[63] & 224) goto badsig; + if (ge_frombytes_negate_vartime(&A,pk) != 0) goto badsig; + + memmove(pkcopy,pk,32); + memmove(rcopy,sm,32); + memmove(scopy,sm + 32,32); + + memmove(m,sm,smlen); + memmove(m + 32,pkcopy,32); + crypto_hash_sha512(h,m,smlen); + sc_reduce(h); + + ge_double_scalarmult_vartime(&R,h,&A,scopy); + ge_tobytes(rcheck,&R); + if (crypto_verify_32(rcheck,rcopy) == 0) { + memmove(m,m + 64,smlen - 64); + memset(m + smlen - 64,0,64); + *mlen = smlen - 64; + return 0; + } + +badsig: + *mlen = -1; + memset(m,0,smlen); + return -1; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.h new file mode 100644 index 000000000..60ffe0d34 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.h @@ -0,0 +1,160 @@ + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_252_2 */ + +/* qhasm: fe z_252_3 */ + +/* qhasm: enter pow22523 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */ +/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */ +fe_mul(t1,z,t1); + +/* qhasm: z11 = z2*z9 */ +/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */ +/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */ +fe_mul(t0,t0,t1); + +/* qhasm: z22 = z11^2^1 */ +/* asm 1: fe_sq(>z22=fe#1,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#1,>z22=fe#1); */ +/* asm 2: fe_sq(>z22=t0,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t0,>z22=t0); */ +fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#1,<z9=fe#2,<z22=fe#1); */ +/* asm 2: fe_mul(>z_5_0=t0,<z9=t1,<z22=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_10_5 = z_5_0^2^5 */ +/* asm 1: fe_sq(>z_10_5=fe#2,<z_5_0=fe#1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#2,>z_10_5=fe#2); */ +/* asm 2: fe_sq(>z_10_5=t1,<z_5_0=t0); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t1,>z_10_5=t1); */ +fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#1,<z_10_5=fe#2,<z_5_0=fe#1); */ +/* asm 2: fe_mul(>z_10_0=t0,<z_10_5=t1,<z_5_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_20_10 = z_10_0^2^10 */ +/* asm 1: fe_sq(>z_20_10=fe#2,<z_10_0=fe#1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#2,>z_20_10=fe#2); */ +/* asm 2: fe_sq(>z_20_10=t1,<z_10_0=t0); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t1,>z_20_10=t1); */ +fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#2,<z_20_10=fe#2,<z_10_0=fe#1); */ +/* asm 2: fe_mul(>z_20_0=t1,<z_20_10=t1,<z_10_0=t0); */ +fe_mul(t1,t1,t0); + +/* qhasm: z_40_20 = z_20_0^2^20 */ +/* asm 1: fe_sq(>z_40_20=fe#3,<z_20_0=fe#2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#3,>z_40_20=fe#3); */ +/* asm 2: fe_sq(>z_40_20=t2,<z_20_0=t1); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t2,>z_40_20=t2); */ +fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#2,<z_40_20=fe#3,<z_20_0=fe#2); */ +/* asm 2: fe_mul(>z_40_0=t1,<z_40_20=t2,<z_20_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_50_10 = z_40_0^2^10 */ +/* asm 1: fe_sq(>z_50_10=fe#2,<z_40_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#2,>z_50_10=fe#2); */ +/* asm 2: fe_sq(>z_50_10=t1,<z_40_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t1,>z_50_10=t1); */ +fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#1,<z_50_10=fe#2,<z_10_0=fe#1); */ +/* asm 2: fe_mul(>z_50_0=t0,<z_50_10=t1,<z_10_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_100_50 = z_50_0^2^50 */ +/* asm 1: fe_sq(>z_100_50=fe#2,<z_50_0=fe#1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#2,>z_100_50=fe#2); */ +/* asm 2: fe_sq(>z_100_50=t1,<z_50_0=t0); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t1,>z_100_50=t1); */ +fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#2,<z_100_50=fe#2,<z_50_0=fe#1); */ +/* asm 2: fe_mul(>z_100_0=t1,<z_100_50=t1,<z_50_0=t0); */ +fe_mul(t1,t1,t0); + +/* qhasm: z_200_100 = z_100_0^2^100 */ +/* asm 1: fe_sq(>z_200_100=fe#3,<z_100_0=fe#2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#3,>z_200_100=fe#3); */ +/* asm 2: fe_sq(>z_200_100=t2,<z_100_0=t1); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t2,>z_200_100=t2); */ +fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#2,<z_200_100=fe#3,<z_100_0=fe#2); */ +/* asm 2: fe_mul(>z_200_0=t1,<z_200_100=t2,<z_100_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_250_50 = z_200_0^2^50 */ +/* asm 1: fe_sq(>z_250_50=fe#2,<z_200_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#2,>z_250_50=fe#2); */ +/* asm 2: fe_sq(>z_250_50=t1,<z_200_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t1,>z_250_50=t1); */ +fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#1,<z_250_50=fe#2,<z_50_0=fe#1); */ +/* asm 2: fe_mul(>z_250_0=t0,<z_250_50=t1,<z_50_0=t0); */ +fe_mul(t0,t1,t0); + +/* qhasm: z_252_2 = z_250_0^2^2 */ +/* asm 1: fe_sq(>z_252_2=fe#1,<z_250_0=fe#1); for (i = 1;i < 2;++i) fe_sq(>z_252_2=fe#1,>z_252_2=fe#1); */ +/* asm 2: fe_sq(>z_252_2=t0,<z_250_0=t0); for (i = 1;i < 2;++i) fe_sq(>z_252_2=t0,>z_252_2=t0); */ +fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0); + +/* qhasm: z_252_3 = z_252_2*z1 */ +/* asm 1: fe_mul(>z_252_3=fe#12,<z_252_2=fe#1,<z1=fe#11); */ +/* asm 2: fe_mul(>z_252_3=out,<z_252_2=t0,<z1=z); */ +fe_mul(out,t0,z); + +/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.q new file mode 100644 index 000000000..2ce1da9d4 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow22523.q @@ -0,0 +1,61 @@ +:name:fe:t0:t1:t2:t3:t4:t5:t6:t7:t8:t9:z:out: +fe r:var/r=fe: + +enter f:enter/f:>z1=fe#11: +return:nofallthrough:<z_252_3=fe#12:leave: + +h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);: +h=f^2^k:<f=fe:>h=fe:#k:asm/fe_sq(>h,<f); for (i = 1;i !lt; #k;++i) fe_sq(>h,>h);: + +: + +fe z1 +fe z2 +fe z8 +fe z9 +fe z11 +fe z22 +fe z_5_0 +fe z_10_5 +fe z_10_0 +fe z_20_10 +fe z_20_0 +fe z_40_20 +fe z_40_0 +fe z_50_10 +fe z_50_0 +fe z_100_50 +fe z_100_0 +fe z_200_100 +fe z_200_0 +fe z_250_50 +fe z_250_0 +fe z_252_2 +fe z_252_3 + +enter pow22523 + +z2 = z1^2^1 +z8 = z2^2^2 +z9 = z1*z8 +z11 = z2*z9 +z22 = z11^2^1 +z_5_0 = z9*z22 +z_10_5 = z_5_0^2^5 +z_10_0 = z_10_5*z_5_0 +z_20_10 = z_10_0^2^10 +z_20_0 = z_20_10*z_10_0 +z_40_20 = z_20_0^2^20 +z_40_0 = z_40_20*z_20_0 +z_50_10 = z_40_0^2^10 +z_50_0 = z_50_10*z_10_0 +z_100_50 = z_50_0^2^50 +z_100_0 = z_100_50*z_50_0 +z_200_100 = z_100_0^2^100 +z_200_0 = z_200_100*z_100_0 +z_250_50 = z_200_0^2^50 +z_250_0 = z_250_50*z_50_0 +z_252_2 = z_250_0^2^2 +z_252_3 = z_252_2*z1 + +return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.h new file mode 100644 index 000000000..109df779a --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.h @@ -0,0 +1,160 @@ + +/* qhasm: fe z1 */ + +/* qhasm: fe z2 */ + +/* qhasm: fe z8 */ + +/* qhasm: fe z9 */ + +/* qhasm: fe z11 */ + +/* qhasm: fe z22 */ + +/* qhasm: fe z_5_0 */ + +/* qhasm: fe z_10_5 */ + +/* qhasm: fe z_10_0 */ + +/* qhasm: fe z_20_10 */ + +/* qhasm: fe z_20_0 */ + +/* qhasm: fe z_40_20 */ + +/* qhasm: fe z_40_0 */ + +/* qhasm: fe z_50_10 */ + +/* qhasm: fe z_50_0 */ + +/* qhasm: fe z_100_50 */ + +/* qhasm: fe z_100_0 */ + +/* qhasm: fe z_200_100 */ + +/* qhasm: fe z_200_0 */ + +/* qhasm: fe z_250_50 */ + +/* qhasm: fe z_250_0 */ + +/* qhasm: fe z_255_5 */ + +/* qhasm: fe z_255_21 */ + +/* qhasm: enter pow225521 */ + +/* qhasm: z2 = z1^2^1 */ +/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */ +/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */ +fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0); + +/* qhasm: z8 = z2^2^2 */ +/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */ +/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */ +fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1); + +/* qhasm: z9 = z1*z8 */ +/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */ +/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */ +fe_mul(t1,z,t1); + +/* qhasm: z11 = z2*z9 */ +/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */ +/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */ +fe_mul(t0,t0,t1); + +/* qhasm: z22 = z11^2^1 */ +/* asm 1: fe_sq(>z22=fe#3,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#3,>z22=fe#3); */ +/* asm 2: fe_sq(>z22=t2,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t2,>z22=t2); */ +fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2); + +/* qhasm: z_5_0 = z9*z22 */ +/* asm 1: fe_mul(>z_5_0=fe#2,<z9=fe#2,<z22=fe#3); */ +/* asm 2: fe_mul(>z_5_0=t1,<z9=t1,<z22=t2); */ +fe_mul(t1,t1,t2); + +/* qhasm: z_10_5 = z_5_0^2^5 */ +/* asm 1: fe_sq(>z_10_5=fe#3,<z_5_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#3,>z_10_5=fe#3); */ +/* asm 2: fe_sq(>z_10_5=t2,<z_5_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t2,>z_10_5=t2); */ +fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2); + +/* qhasm: z_10_0 = z_10_5*z_5_0 */ +/* asm 1: fe_mul(>z_10_0=fe#2,<z_10_5=fe#3,<z_5_0=fe#2); */ +/* asm 2: fe_mul(>z_10_0=t1,<z_10_5=t2,<z_5_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_20_10 = z_10_0^2^10 */ +/* asm 1: fe_sq(>z_20_10=fe#3,<z_10_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#3,>z_20_10=fe#3); */ +/* asm 2: fe_sq(>z_20_10=t2,<z_10_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t2,>z_20_10=t2); */ +fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_20_0 = z_20_10*z_10_0 */ +/* asm 1: fe_mul(>z_20_0=fe#3,<z_20_10=fe#3,<z_10_0=fe#2); */ +/* asm 2: fe_mul(>z_20_0=t2,<z_20_10=t2,<z_10_0=t1); */ +fe_mul(t2,t2,t1); + +/* qhasm: z_40_20 = z_20_0^2^20 */ +/* asm 1: fe_sq(>z_40_20=fe#4,<z_20_0=fe#3); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#4,>z_40_20=fe#4); */ +/* asm 2: fe_sq(>z_40_20=t3,<z_20_0=t2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t3,>z_40_20=t3); */ +fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3); + +/* qhasm: z_40_0 = z_40_20*z_20_0 */ +/* asm 1: fe_mul(>z_40_0=fe#3,<z_40_20=fe#4,<z_20_0=fe#3); */ +/* asm 2: fe_mul(>z_40_0=t2,<z_40_20=t3,<z_20_0=t2); */ +fe_mul(t2,t3,t2); + +/* qhasm: z_50_10 = z_40_0^2^10 */ +/* asm 1: fe_sq(>z_50_10=fe#3,<z_40_0=fe#3); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#3,>z_50_10=fe#3); */ +/* asm 2: fe_sq(>z_50_10=t2,<z_40_0=t2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t2,>z_50_10=t2); */ +fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2); + +/* qhasm: z_50_0 = z_50_10*z_10_0 */ +/* asm 1: fe_mul(>z_50_0=fe#2,<z_50_10=fe#3,<z_10_0=fe#2); */ +/* asm 2: fe_mul(>z_50_0=t1,<z_50_10=t2,<z_10_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_100_50 = z_50_0^2^50 */ +/* asm 1: fe_sq(>z_100_50=fe#3,<z_50_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#3,>z_100_50=fe#3); */ +/* asm 2: fe_sq(>z_100_50=t2,<z_50_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t2,>z_100_50=t2); */ +fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_100_0 = z_100_50*z_50_0 */ +/* asm 1: fe_mul(>z_100_0=fe#3,<z_100_50=fe#3,<z_50_0=fe#2); */ +/* asm 2: fe_mul(>z_100_0=t2,<z_100_50=t2,<z_50_0=t1); */ +fe_mul(t2,t2,t1); + +/* qhasm: z_200_100 = z_100_0^2^100 */ +/* asm 1: fe_sq(>z_200_100=fe#4,<z_100_0=fe#3); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#4,>z_200_100=fe#4); */ +/* asm 2: fe_sq(>z_200_100=t3,<z_100_0=t2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t3,>z_200_100=t3); */ +fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3); + +/* qhasm: z_200_0 = z_200_100*z_100_0 */ +/* asm 1: fe_mul(>z_200_0=fe#3,<z_200_100=fe#4,<z_100_0=fe#3); */ +/* asm 2: fe_mul(>z_200_0=t2,<z_200_100=t3,<z_100_0=t2); */ +fe_mul(t2,t3,t2); + +/* qhasm: z_250_50 = z_200_0^2^50 */ +/* asm 1: fe_sq(>z_250_50=fe#3,<z_200_0=fe#3); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#3,>z_250_50=fe#3); */ +/* asm 2: fe_sq(>z_250_50=t2,<z_200_0=t2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t2,>z_250_50=t2); */ +fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2); + +/* qhasm: z_250_0 = z_250_50*z_50_0 */ +/* asm 1: fe_mul(>z_250_0=fe#2,<z_250_50=fe#3,<z_50_0=fe#2); */ +/* asm 2: fe_mul(>z_250_0=t1,<z_250_50=t2,<z_50_0=t1); */ +fe_mul(t1,t2,t1); + +/* qhasm: z_255_5 = z_250_0^2^5 */ +/* asm 1: fe_sq(>z_255_5=fe#2,<z_250_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_255_5=fe#2,>z_255_5=fe#2); */ +/* asm 2: fe_sq(>z_255_5=t1,<z_250_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_255_5=t1,>z_255_5=t1); */ +fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1); + +/* qhasm: z_255_21 = z_255_5*z11 */ +/* asm 1: fe_mul(>z_255_21=fe#12,<z_255_5=fe#2,<z11=fe#1); */ +/* asm 2: fe_mul(>z_255_21=out,<z_255_5=t1,<z11=t0); */ +fe_mul(out,t1,t0); + +/* qhasm: return */ diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.q b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.q new file mode 100644 index 000000000..45be57c08 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/pow225521.q @@ -0,0 +1,61 @@ +:name:fe:t0:t1:t2:t3:t4:t5:t6:t7:t8:t9:z:out: +fe r:var/r=fe: + +enter f:enter/f:>z1=fe#11: +return:nofallthrough:<z_255_21=fe#12:leave: + +h=f*g:<f=fe:<g=fe:>h=fe:asm/fe_mul(>h,<f,<g);: +h=f^2^k:<f=fe:>h=fe:#k:asm/fe_sq(>h,<f); for (i = 1;i !lt; #k;++i) fe_sq(>h,>h);: + +: + +fe z1 +fe z2 +fe z8 +fe z9 +fe z11 +fe z22 +fe z_5_0 +fe z_10_5 +fe z_10_0 +fe z_20_10 +fe z_20_0 +fe z_40_20 +fe z_40_0 +fe z_50_10 +fe z_50_0 +fe z_100_50 +fe z_100_0 +fe z_200_100 +fe z_200_0 +fe z_250_50 +fe z_250_0 +fe z_255_5 +fe z_255_21 + +enter pow225521 + +z2 = z1^2^1 +z8 = z2^2^2 +z9 = z1*z8 +z11 = z2*z9 +z22 = z11^2^1 +z_5_0 = z9*z22 +z_10_5 = z_5_0^2^5 +z_10_0 = z_10_5*z_5_0 +z_20_10 = z_10_0^2^10 +z_20_0 = z_20_10*z_10_0 +z_40_20 = z_20_0^2^20 +z_40_0 = z_40_20*z_20_0 +z_50_10 = z_40_0^2^10 +z_50_0 = z_50_10*z_10_0 +z_100_50 = z_50_0^2^50 +z_100_0 = z_100_50*z_50_0 +z_200_100 = z_100_0^2^100 +z_200_0 = z_200_100*z_100_0 +z_250_50 = z_200_0^2^50 +z_250_0 = z_250_50*z_50_0 +z_255_5 = z_250_0^2^5 +z_255_21 = z_255_5*z11 + +return diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/q2h.sh b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/q2h.sh new file mode 100644 index 000000000..47ec5110e --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/q2h.sh @@ -0,0 +1,4 @@ +#!/bin/sh +sed 's/^#.*//' \ +| qhasm-generic \ +| sed 's_//\(.*\)$_/*\1 */_' diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc.h new file mode 100644 index 000000000..d32ed2e8c --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc.h @@ -0,0 +1,15 @@ +#ifndef SC_H +#define SC_H + +/* +The set of scalars is \Z/l +where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +#define sc_reduce crypto_sign_ed25519_ref10_sc_reduce +#define sc_muladd crypto_sign_ed25519_ref10_sc_muladd + +extern void sc_reduce(unsigned char *); +extern void sc_muladd(unsigned char *,const unsigned char *,const unsigned char *,const unsigned char *); + +#endif diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_muladd.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_muladd.c new file mode 100644 index 000000000..6f1e9d02d --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_muladd.c @@ -0,0 +1,368 @@ +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Input: + a[0]+256*a[1]+...+256^31*a[31] = a + b[0]+256*b[1]+...+256^31*b[31] = b + c[0]+256*c[1]+...+256^31*c[31] = c + +Output: + s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l + where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c) +{ + crypto_int64 a0 = 2097151 & load_3(a); + crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5); + crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2); + crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7); + crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4); + crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1); + crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6); + crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3); + crypto_int64 a8 = 2097151 & load_3(a + 21); + crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5); + crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2); + crypto_int64 a11 = (load_4(a + 28) >> 7); + crypto_int64 b0 = 2097151 & load_3(b); + crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5); + crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2); + crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7); + crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4); + crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1); + crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6); + crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3); + crypto_int64 b8 = 2097151 & load_3(b + 21); + crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5); + crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2); + crypto_int64 b11 = (load_4(b + 28) >> 7); + crypto_int64 c0 = 2097151 & load_3(c); + crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5); + crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2); + crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7); + crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4); + crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1); + crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6); + crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3); + crypto_int64 c8 = 2097151 & load_3(c + 21); + crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5); + crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2); + crypto_int64 c11 = (load_4(c + 28) >> 7); + crypto_int64 s0; + crypto_int64 s1; + crypto_int64 s2; + crypto_int64 s3; + crypto_int64 s4; + crypto_int64 s5; + crypto_int64 s6; + crypto_int64 s7; + crypto_int64 s8; + crypto_int64 s9; + crypto_int64 s10; + crypto_int64 s11; + crypto_int64 s12; + crypto_int64 s13; + crypto_int64 s14; + crypto_int64 s15; + crypto_int64 s16; + crypto_int64 s17; + crypto_int64 s18; + crypto_int64 s19; + crypto_int64 s20; + crypto_int64 s21; + crypto_int64 s22; + crypto_int64 s23; + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + crypto_int64 carry17; + crypto_int64 carry18; + crypto_int64 carry19; + crypto_int64 carry20; + crypto_int64 carry21; + crypto_int64 carry22; + + s0 = c0 + a0*b0; + s1 = c1 + a0*b1 + a1*b0; + s2 = c2 + a0*b2 + a1*b1 + a2*b0; + s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0; + s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0; + s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0; + s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0; + s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0; + s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0; + s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0; + s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0; + s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0; + s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1; + s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2; + s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3; + s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4; + s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5; + s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6; + s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7; + s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8; + s20 = a9*b11 + a10*b10 + a11*b9; + s21 = a10*b11 + a11*b10; + s22 = a11*b11; + s23 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; + carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; + carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; + carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; + carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + s23 = 0; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + s22 = 0; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + s21 = 0; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + s20 = 0; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + s19 = 0; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + s18 = 0; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + s17 = 0; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + s16 = 0; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + s15 = 0; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + s14 = 0; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + s13 = 0; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_reduce.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_reduce.c new file mode 100644 index 000000000..d01f5a573 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_reduce.c @@ -0,0 +1,275 @@ +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +/* +Input: + s[0]+256*s[1]+...+256^63*s[63] = s + +Output: + s[0]+256*s[1]+...+256^31*s[31] = s mod l + where l = 2^252 + 27742317777372353535851937790883648493. + Overwrites s in place. +*/ + +void sc_reduce(unsigned char *s) +{ + crypto_int64 s0 = 2097151 & load_3(s); + crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5); + crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2); + crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7); + crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4); + crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1); + crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6); + crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3); + crypto_int64 s8 = 2097151 & load_3(s + 21); + crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5); + crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2); + crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7); + crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4); + crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1); + crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6); + crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3); + crypto_int64 s16 = 2097151 & load_3(s + 42); + crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5); + crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2); + crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7); + crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4); + crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1); + crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6); + crypto_int64 s23 = (load_4(s + 60) >> 3); + crypto_int64 carry0; + crypto_int64 carry1; + crypto_int64 carry2; + crypto_int64 carry3; + crypto_int64 carry4; + crypto_int64 carry5; + crypto_int64 carry6; + crypto_int64 carry7; + crypto_int64 carry8; + crypto_int64 carry9; + crypto_int64 carry10; + crypto_int64 carry11; + crypto_int64 carry12; + crypto_int64 carry13; + crypto_int64 carry14; + crypto_int64 carry15; + crypto_int64 carry16; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + s23 = 0; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + s22 = 0; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + s21 = 0; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + s20 = 0; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + s19 = 0; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + s18 = 0; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + s17 = 0; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + s16 = 0; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + s15 = 0; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + s14 = 0; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + s13 = 0; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_sub.xmr.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_sub.xmr.c new file mode 100644 index 000000000..cd4a50ff0 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sc_sub.xmr.c @@ -0,0 +1,504 @@ +/* + * sc_sub, sc_mulsub, sc_mul + * + * (These are from the old code as well) + */ + + +#include "sc.h" +#include "crypto_int64.h" +#include "crypto_uint32.h" +#include "crypto_uint64.h" + +static crypto_uint64 load_3(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + return result; +} + +static crypto_uint64 load_4(const unsigned char *in) +{ + crypto_uint64 result; + result = (crypto_uint64) in[0]; + result |= ((crypto_uint64) in[1]) << 8; + result |= ((crypto_uint64) in[2]) << 16; + result |= ((crypto_uint64) in[3]) << 24; + return result; +} + +void sc_sub(unsigned char *s, const unsigned char *a, const unsigned char *b) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t s0 = a0 - b0; + int64_t s1 = a1 - b1; + int64_t s2 = a2 - b2; + int64_t s3 = a3 - b3; + int64_t s4 = a4 - b4; + int64_t s5 = a5 - b5; + int64_t s6 = a6 - b6; + int64_t s7 = a7 - b7; + int64_t s8 = a8 - b8; + int64_t s9 = a9 - b9; + int64_t s10 = a10 - b10; + int64_t s11 = a11 - b11; + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +/* +Input: + a[0]+256*a[1]+...+256^31*a[31] = a + b[0]+256*b[1]+...+256^31*b[31] = b + c[0]+256*c[1]+...+256^31*c[31] = c + +Output: + s[0]+256*s[1]+...+256^31*s[31] = (c-ab) mod l + where l = 2^252 + 27742317777372353535851937790883648493. +*/ + +//x +void sc_mulsub(unsigned char *s, const unsigned char *a, const unsigned char *b, const unsigned char *c) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t c0 = 2097151 & load_3(c); + int64_t c1 = 2097151 & (load_4(c + 2) >> 5); + int64_t c2 = 2097151 & (load_3(c + 5) >> 2); + int64_t c3 = 2097151 & (load_4(c + 7) >> 7); + int64_t c4 = 2097151 & (load_4(c + 10) >> 4); + int64_t c5 = 2097151 & (load_3(c + 13) >> 1); + int64_t c6 = 2097151 & (load_4(c + 15) >> 6); + int64_t c7 = 2097151 & (load_3(c + 18) >> 3); + int64_t c8 = 2097151 & load_3(c + 21); + int64_t c9 = 2097151 & (load_4(c + 23) >> 5); + int64_t c10 = 2097151 & (load_3(c + 26) >> 2); + int64_t c11 = (load_4(c + 28) >> 7); + int64_t s0; + int64_t s1; + int64_t s2; + int64_t s3; + int64_t s4; + int64_t s5; + int64_t s6; + int64_t s7; + int64_t s8; + int64_t s9; + int64_t s10; + int64_t s11; + int64_t s12; + int64_t s13; + int64_t s14; + int64_t s15; + int64_t s16; + int64_t s17; + int64_t s18; + int64_t s19; + int64_t s20; + int64_t s21; + int64_t s22; + int64_t s23; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + int64_t carry12; + int64_t carry13; + int64_t carry14; + int64_t carry15; + int64_t carry16; + int64_t carry17; + int64_t carry18; + int64_t carry19; + int64_t carry20; + int64_t carry21; + int64_t carry22; + + s0 = c0 - a0*b0; + s1 = c1 - (a0*b1 + a1*b0); + s2 = c2 - (a0*b2 + a1*b1 + a2*b0); + s3 = c3 - (a0*b3 + a1*b2 + a2*b1 + a3*b0); + s4 = c4 - (a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0); + s5 = c5 - (a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0); + s6 = c6 - (a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0); + s7 = c7 - (a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0); + s8 = c8 - (a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0); + s9 = c9 - (a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0); + s10 = c10 - (a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0); + s11 = c11 - (a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0); + s12 = -(a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1); + s13 = -(a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2); + s14 = -(a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3); + s15 = -(a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4); + s16 = -(a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5); + s17 = -(a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6); + s18 = -(a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7); + s19 = -(a8*b11 + a9*b10 + a10*b9 + a11*b8); + s20 = -(a9*b11 + a10*b10 + a11*b9); + s21 = -(a10*b11 + a11*b10); + s22 = -a11*b11; + s23 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21; + carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21; + carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21; + carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21; + carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21; + + s11 += s23 * 666643; + s12 += s23 * 470296; + s13 += s23 * 654183; + s14 -= s23 * 997805; + s15 += s23 * 136657; + s16 -= s23 * 683901; + + s10 += s22 * 666643; + s11 += s22 * 470296; + s12 += s22 * 654183; + s13 -= s22 * 997805; + s14 += s22 * 136657; + s15 -= s22 * 683901; + + s9 += s21 * 666643; + s10 += s21 * 470296; + s11 += s21 * 654183; + s12 -= s21 * 997805; + s13 += s21 * 136657; + s14 -= s21 * 683901; + + s8 += s20 * 666643; + s9 += s20 * 470296; + s10 += s20 * 654183; + s11 -= s20 * 997805; + s12 += s20 * 136657; + s13 -= s20 * 683901; + + s7 += s19 * 666643; + s8 += s19 * 470296; + s9 += s19 * 654183; + s10 -= s19 * 997805; + s11 += s19 * 136657; + s12 -= s19 * 683901; + + s6 += s18 * 666643; + s7 += s18 * 470296; + s8 += s18 * 654183; + s9 -= s18 * 997805; + s10 += s18 * 136657; + s11 -= s18 * 683901; + + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21; + carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21; + carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21; + + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21; + carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21; + + s5 += s17 * 666643; + s6 += s17 * 470296; + s7 += s17 * 654183; + s8 -= s17 * 997805; + s9 += s17 * 136657; + s10 -= s17 * 683901; + + s4 += s16 * 666643; + s5 += s16 * 470296; + s6 += s16 * 654183; + s7 -= s16 * 997805; + s8 += s16 * 136657; + s9 -= s16 * 683901; + + s3 += s15 * 666643; + s4 += s15 * 470296; + s5 += s15 * 654183; + s6 -= s15 * 997805; + s7 += s15 * 136657; + s8 -= s15 * 683901; + + s2 += s14 * 666643; + s3 += s14 * 470296; + s4 += s14 * 654183; + s5 -= s14 * 997805; + s6 += s14 * 136657; + s7 -= s14 * 683901; + + s1 += s13 * 666643; + s2 += s13 * 470296; + s3 += s13 * 654183; + s4 -= s13 * 997805; + s5 += s13 * 136657; + s6 -= s13 * 683901; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + + diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/scrap.txt b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/scrap.txt new file mode 100644 index 000000000..9a02605db --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/scrap.txt @@ -0,0 +1,53 @@ +#include "ge.h" + +/* +r = p + q +*/ + +void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q) +{ + fe t0; + + + + + + + + + + + + + + + + + + + + + +fe_add(r->X,p->Y,p->X); + +fe_sub(r->Y,p->Y,p->X); + +fe_mul(r->Z,r->X,q->YplusX); + +fe_mul(r->Y,r->Y,q->YminusX); + +fe_mul(r->T,q->T2d,p->T); + +fe_mul(r->X,p->Z,q->Z); + +fe_add(t0,r->X,r->X); + +fe_sub(r->X,r->Z,r->Y); + +fe_add(r->Y,r->Z,r->Y); + +fe_add(r->Z,t0,r->T); + +fe_sub(r->T,t0,r->T); + +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sign.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sign.c new file mode 100644 index 000000000..de53742a6 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sign.c @@ -0,0 +1,41 @@ +#include <string.h> +#include "crypto_sign.h" +#include "crypto_hash_sha512.h" +#include "ge.h" +#include "sc.h" + +int crypto_sign( + unsigned char *sm,unsigned long long *smlen, + const unsigned char *m,unsigned long long mlen, + const unsigned char *sk +) +{ + unsigned char pk[32]; + unsigned char az[64]; + unsigned char nonce[64]; + unsigned char hram[64]; + ge_p3 R; + + memmove(pk,sk + 32,32); + + crypto_hash_sha512(az,sk,32); + az[0] &= 248; + az[31] &= 63; + az[31] |= 64; + + *smlen = mlen + 64; + memmove(sm + 64,m,mlen); + memmove(sm + 32,az + 32,32); + crypto_hash_sha512(nonce,sm + 32,mlen + 32); + memmove(sm + 32,pk,32); + + sc_reduce(nonce); + ge_scalarmult_base(&R,nonce); + ge_p3_tobytes(sm,&R); + + crypto_hash_sha512(hram,sm,mlen + 64); + sc_reduce(hram); + sc_muladd(sm + 32,hram,az,nonce); + + return 0; +} diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.h b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.h new file mode 100644 index 000000000..d8caa23b6 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.h @@ -0,0 +1 @@ +-32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482 diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.py new file mode 100644 index 000000000..9a47fbc12 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/sqrtm1.py @@ -0,0 +1,28 @@ +q = 2**255 - 19 + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +def radix255(x): + x = x % q + if x + x > q: x -= q + x = [x,0,0,0,0,0,0,0,0,0] + bits = [26,25,26,25,26,25,26,25,26,25] + for i in range(9): + carry = (x[i] + 2**(bits[i]-1)) / 2**bits[i] + x[i] -= carry * 2**bits[i] + x[i + 1] += carry + result = "" + for i in range(9): + result = result+str(x[i])+"," + result = result+str(x[9]) + return result + +I = expmod(2,(q-1)/4,q) +print radix255(I) diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/test.py b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/test.py new file mode 100644 index 000000000..10fa408ce --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/test.py @@ -0,0 +1,5 @@ +import os +l = "(((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1;" + +os.system("sed -i 's/crypto_verify_32(s, zero)/"+l+"/' crypto-ops.c") + diff --git a/src/crypto/shen_ed25519_ref/ref10CommentedCombined/xmrSpecificOld.c b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/xmrSpecificOld.c new file mode 100644 index 000000000..e6567c120 --- /dev/null +++ b/src/crypto/shen_ed25519_ref/ref10CommentedCombined/xmrSpecificOld.c @@ -0,0 +1,776 @@ +/*Code inherited from the original cryptonote (I didn't write these) */ +/*These functions either don't exist in, or are modified from ref10*/ + + +/* From fe_isnonzero.c, modified */ + +//x +static int fe_isnonzero(const fe f) { + unsigned char s[32]; + fe_tobytes(s, f); + return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | + s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | + s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | + s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; +} + +//double scalar mult precomp +void ge_dsm_precomp(ge_dsmp r, const ge_p3 *s) { + ge_p1p1 t; + ge_p3 s2, u; + ge_p3_to_cached(&r[0], s); + ge_p3_dbl(&t, s); ge_p1p1_to_p3(&s2, &t); + ge_add(&t, &s2, &r[0]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[1], &u); + ge_add(&t, &s2, &r[1]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[2], &u); + ge_add(&t, &s2, &r[2]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[3], &u); + ge_add(&t, &s2, &r[3]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[4], &u); + ge_add(&t, &s2, &r[4]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[5], &u); + ge_add(&t, &s2, &r[5]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[6], &u); + ge_add(&t, &s2, &r[6]); ge_p1p1_to_p3(&u, &t); ge_p3_to_cached(&r[7], &u); +} + +/* +r = a * A + b * B +where a = a[0]+256*a[1]+...+256^31 a[31]. +and b = b[0]+256*b[1]+...+256^31 b[31]. +B is the Ed25519 base point (x,4/5) with x positive. +*/ + +void ge_double_scalarmult_base_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b) { + signed char aslide[256]; + signed char bslide[256]; + ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ + ge_p1p1 t; + ge_p3 u; + int i; + + slide(aslide, a); + slide(bslide, b); + ge_dsm_precomp(Ai, A);/* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ + + ge_p2_0(r); + + for (i = 255; i >= 0; --i) { + //so this gets us to the highest i such that both have a nonzero + if (aslide[i] || bslide[i]) break; + } + + for (; i >= 0; --i) { + ge_p2_dbl(&t, r);//simple double and add + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_madd(&t, &u, &ge_Bi[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_msub(&t, &u, &ge_Bi[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r, &t); + } +} + + +/* From ge_frombytes.c, modified */ +//this is like xrecover .. +//x +int ge_frombytes_vartime(ge_p3 *h, const unsigned char *s) { + fe u; + fe v; + fe vxx; + fe check; + + /* From fe_frombytes.c */ + + int64_t h0 = load_4(s); + int64_t h1 = load_3(s + 4) << 6; + int64_t h2 = load_3(s + 7) << 5; + int64_t h3 = load_3(s + 10) << 3; + int64_t h4 = load_3(s + 13) << 2; + int64_t h5 = load_4(s + 16); + int64_t h6 = load_3(s + 20) << 7; + int64_t h7 = load_3(s + 23) << 5; + int64_t h8 = load_3(s + 26) << 4; + int64_t h9 = (load_3(s + 29) & 8388607) << 2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + /* Validate the number to be canonical */ + if (h9 == 33554428 && h8 == 268435440 && h7 == 536870880 && h6 == 2147483520 && + h5 == 4294967295 && h4 == 67108860 && h3 == 134217720 && h2 == 536870880 && + h1 == 1073741760 && h0 >= 4294967277) { + return -1; + } + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + h->Y[0] = h0; + h->Y[1] = h1; + h->Y[2] = h2; + h->Y[3] = h3; + h->Y[4] = h4; + h->Y[5] = h5; + h->Y[6] = h6; + h->Y[7] = h7; + h->Y[8] = h8; + h->Y[9] = h9; + + /* End fe_frombytes.c */ + + fe_1(h->Z); + fe_sq(u, h->Y); + fe_mul(v, u, fe_d); + fe_sub(u, u, h->Z); /* u = y^2-1 */ + fe_add(v, v, h->Z); /* v = dy^2+1 */ + + fe_divpowm1(h->X, u, v); /* x = uv^3(uv^7)^((q-5)/8) */ + + fe_sq(vxx, h->X); + fe_mul(vxx, vxx, v); + fe_sub(check, vxx, u); /* vx^2-u */ + if (fe_isnonzero(check)) { + fe_add(check, vxx, u); /* vx^2+u */ + if (fe_isnonzero(check)) { + return -1; + } + fe_mul(h->X, h->X, fe_sqrtm1); //this is mapping X to X * sqrt(-1) c.f. 3.1 in hisil, dong, etc. + } + + if (fe_isnegative(h->X) != (s[31] >> 7)) { + /* If x = 0, the sign must be positive */ + if (!fe_isnonzero(h->X)) { + return -1; + } + fe_neg(h->X, h->X); + } + + fe_mul(h->T, h->X, h->Y); + return 0; +} + +/* New code */ +/* (u / v)^(m + 1) */ +static void fe_divpowm1(fe r, const fe u, const fe v) { + fe v3, uv7, t0, t1, t2; + int i; + + fe_sq(v3, v); + fe_mul(v3, v3, v); /* v3 = v^3 */ + fe_sq(uv7, v3); + fe_mul(uv7, uv7, v); + fe_mul(uv7, uv7, u); /* uv7 = uv^7 */ + + /*fe_pow22523(uv7, uv7);*/ + + /* From fe_pow22523.c */ + + fe_sq(t0, uv7); + fe_sq(t1, t0); + fe_sq(t1, t1); + fe_mul(t1, uv7, t1); + fe_mul(t0, t0, t1); + fe_sq(t0, t0); + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 4; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 9; ++i) { + fe_sq(t1, t1); + } + fe_mul(t1, t1, t0); + fe_sq(t2, t1); + for (i = 0; i < 19; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + for (i = 0; i < 10; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t1, t0); + for (i = 0; i < 49; ++i) { + fe_sq(t1, t1); + } + fe_mul(t1, t1, t0); + fe_sq(t2, t1); + for (i = 0; i < 99; ++i) { + fe_sq(t2, t2); + } + fe_mul(t1, t2, t1); + for (i = 0; i < 50; ++i) { + fe_sq(t1, t1); + } + fe_mul(t0, t1, t0); + fe_sq(t0, t0); + fe_sq(t0, t0); + fe_mul(t0, t0, uv7); + + /* End fe_pow22523.c */ + /* t0 = (uv^7)^((q-5)/8) */ + fe_mul(t0, t0, v3); + fe_mul(r, t0, u); /* u^(m+1)v^(-(m+1)) */ +} + +static void ge_cached_0(ge_cached *r) { + fe_1(r->YplusX); + fe_1(r->YminusX); + fe_1(r->Z); + fe_0(r->T2d); +} + +static void ge_cached_cmov(ge_cached *t, const ge_cached *u, unsigned char b) { + fe_cmov(t->YplusX, u->YplusX, b); + fe_cmov(t->YminusX, u->YminusX, b); + fe_cmov(t->Z, u->Z, b); + fe_cmov(t->T2d, u->T2d, b); +} + +/* Assumes that a[31] <= 127 */ +void ge_scalarmult(ge_p2 *r, const unsigned char *a, const ge_p3 *A) { + signed char e[64]; + int carry, carry2, i; + ge_cached Ai[8]; /* 1 * A, 2 * A, ..., 8 * A */ + ge_p1p1 t; + ge_p3 u; + + carry = 0; /* 0..1 */ + for (i = 0; i < 31; i++) { + carry += a[i]; /* 0..256 */ + carry2 = (carry + 8) >> 4; /* 0..16 */ + e[2 * i] = carry - (carry2 << 4); /* -8..7 */ + carry = (carry2 + 8) >> 4; /* 0..1 */ + e[2 * i + 1] = carry2 - (carry << 4); /* -8..7 */ + } + carry += a[31]; /* 0..128 */ + carry2 = (carry + 8) >> 4; /* 0..8 */ + e[62] = carry - (carry2 << 4); /* -8..7 */ + e[63] = carry2; /* 0..8 */ + + ge_p3_to_cached(&Ai[0], A); + for (i = 0; i < 7; i++) { + ge_add(&t, A, &Ai[i]); + ge_p1p1_to_p3(&u, &t); + ge_p3_to_cached(&Ai[i + 1], &u); + } + + ge_p2_0(r); + for (i = 63; i >= 0; i--) { + signed char b = e[i]; + unsigned char bnegative = negative(b); + unsigned char babs = b - (((-bnegative) & b) << 1); + ge_cached cur, minuscur; + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p2(r, &t); + ge_p2_dbl(&t, r); + ge_p1p1_to_p3(&u, &t); + ge_cached_0(&cur); + ge_cached_cmov(&cur, &Ai[0], equal(babs, 1)); + ge_cached_cmov(&cur, &Ai[1], equal(babs, 2)); + ge_cached_cmov(&cur, &Ai[2], equal(babs, 3)); + ge_cached_cmov(&cur, &Ai[3], equal(babs, 4)); + ge_cached_cmov(&cur, &Ai[4], equal(babs, 5)); + ge_cached_cmov(&cur, &Ai[5], equal(babs, 6)); + ge_cached_cmov(&cur, &Ai[6], equal(babs, 7)); + ge_cached_cmov(&cur, &Ai[7], equal(babs, 8)); + fe_copy(minuscur.YplusX, cur.YminusX); + fe_copy(minuscur.YminusX, cur.YplusX); + fe_copy(minuscur.Z, cur.Z); + fe_neg(minuscur.T2d, cur.T2d); + ge_cached_cmov(&cur, &minuscur, bnegative); + ge_add(&t, &u, &cur); + ge_p1p1_to_p2(r, &t); + } +} + +//assume Bi has precomputed multiples +void ge_double_scalarmult_precomp_vartime(ge_p2 *r, const unsigned char *a, const ge_p3 *A, const unsigned char *b, const ge_dsmp Bii) { + signed char aslide[256]; + signed char bslide[256]; + ge_dsmp Ai; /* A, 3A, 5A, 7A, 9A, 11A, 13A, 15A */ //precomps + ge_p1p1 t; + ge_p3 u; + int i; + + slide(aslide, a); + slide(bslide, b); + ge_dsm_precomp(Ai, A); + + ge_p2_0(r); + + for (i = 255; i >= 0; --i) { + if (aslide[i] || bslide[i]) break; + } + + for (; i >= 0; --i) { + ge_p2_dbl(&t, r); + + if (aslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Ai[aslide[i]/2]); + } else if (aslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Ai[(-aslide[i])/2]); + } + + if (bslide[i] > 0) { + ge_p1p1_to_p3(&u, &t); + ge_add(&t, &u, &Bii[bslide[i]/2]); + } else if (bslide[i] < 0) { + ge_p1p1_to_p3(&u, &t); + ge_sub(&t, &u, &Bii[(-bslide[i])/2]); + } + + ge_p1p1_to_p2(r, &t); + } +} + +//x +void ge_mul8(ge_p1p1 *r, const ge_p2 *t) { + ge_p2 u; + ge_p2_dbl(r, t); + ge_p1p1_to_p2(&u, r); + ge_p2_dbl(r, &u); + ge_p1p1_to_p2(&u, r); + ge_p2_dbl(r, &u); +} + +//x +void ge_fromfe_frombytes_vartime(ge_p2 *r, const unsigned char *s) { + fe u, v, w, x, y, z; + unsigned char sign; + + /* From fe_frombytes.c */ + + int64_t h0 = load_4(s); + int64_t h1 = load_3(s + 4) << 6; + int64_t h2 = load_3(s + 7) << 5; + int64_t h3 = load_3(s + 10) << 3; + int64_t h4 = load_3(s + 13) << 2; + int64_t h5 = load_4(s + 16); + int64_t h6 = load_3(s + 20) << 7; + int64_t h7 = load_3(s + 23) << 5; + int64_t h8 = load_3(s + 26) << 4; + int64_t h9 = load_3(s + 29) << 2; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + + carry9 = (h9 + (int64_t) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25; + carry1 = (h1 + (int64_t) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25; + carry3 = (h3 + (int64_t) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25; + carry5 = (h5 + (int64_t) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25; + carry7 = (h7 + (int64_t) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25; + + carry0 = (h0 + (int64_t) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26; + carry2 = (h2 + (int64_t) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26; + carry4 = (h4 + (int64_t) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26; + carry6 = (h6 + (int64_t) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26; + carry8 = (h8 + (int64_t) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26; + + u[0] = h0; + u[1] = h1; + u[2] = h2; + u[3] = h3; + u[4] = h4; + u[5] = h5; + u[6] = h6; + u[7] = h7; + u[8] = h8; + u[9] = h9; + + /* End fe_frombytes.c */ + + fe_sq2(v, u); /* 2 * u^2 */ + fe_1(w); + fe_add(w, v, w); /* w = 2 * u^2 + 1 */ + fe_sq(x, w); /* w^2 */ + fe_mul(y, fe_ma2, v); /* -2 * A^2 * u^2 */ + fe_add(x, x, y); /* x = w^2 - 2 * A^2 * u^2 */ + fe_divpowm1(r->X, w, x); /* (w / x)^(m + 1) */ + fe_sq(y, r->X); + fe_mul(x, y, x); + fe_sub(y, w, x); + fe_copy(z, fe_ma); + if (fe_isnonzero(y)) { + fe_add(y, w, x); + if (fe_isnonzero(y)) { + goto negative; + } else { + fe_mul(r->X, r->X, fe_fffb1); + } + } else { + fe_mul(r->X, r->X, fe_fffb2); + } + fe_mul(r->X, r->X, u); /* u * sqrt(2 * A * (A + 2) * w / x) */ + fe_mul(z, z, v); /* -2 * A * u^2 */ + sign = 0; + goto setsign; +negative: + fe_mul(x, x, fe_sqrtm1); + fe_sub(y, w, x); + if (fe_isnonzero(y)) { + assert((fe_add(y, w, x), !fe_isnonzero(y))); + fe_mul(r->X, r->X, fe_fffb3); + } else { + fe_mul(r->X, r->X, fe_fffb4); + } + /* r->X = sqrt(A * (A + 2) * w / x) */ + /* z = -A */ + sign = 1; +setsign: + if (fe_isnegative(r->X) != sign) { + assert(fe_isnonzero(r->X)); + fe_neg(r->X, r->X); + } + fe_add(r->Z, z, w); + fe_sub(r->Y, z, w); + fe_mul(r->X, r->X, r->Z); +#if !defined(NDEBUG) + { + fe check_x, check_y, check_iz, check_v; + fe_invert(check_iz, r->Z); + fe_mul(check_x, r->X, check_iz); + fe_mul(check_y, r->Y, check_iz); + fe_sq(check_x, check_x); + fe_sq(check_y, check_y); + fe_mul(check_v, check_x, check_y); + fe_mul(check_v, fe_d, check_v); + fe_add(check_v, check_v, check_x); + fe_sub(check_v, check_v, check_y); + fe_1(check_x); + fe_add(check_v, check_v, check_x); + assert(!fe_isnonzero(check_v)); + } +#endif +} + +//x +void sc_0(unsigned char *s) { + int i; + for (i = 0; i < 32; i++) { + s[i] = 0; + } +} + +//x +void sc_reduce32(unsigned char *s) { + int64_t s0 = 2097151 & load_3(s); + int64_t s1 = 2097151 & (load_4(s + 2) >> 5); + int64_t s2 = 2097151 & (load_3(s + 5) >> 2); + int64_t s3 = 2097151 & (load_4(s + 7) >> 7); + int64_t s4 = 2097151 & (load_4(s + 10) >> 4); + int64_t s5 = 2097151 & (load_3(s + 13) >> 1); + int64_t s6 = 2097151 & (load_4(s + 15) >> 6); + int64_t s7 = 2097151 & (load_3(s + 18) >> 3); + int64_t s8 = 2097151 & load_3(s + 21); + int64_t s9 = 2097151 & (load_4(s + 23) >> 5); + int64_t s10 = 2097151 & (load_3(s + 26) >> 2); + int64_t s11 = (load_4(s + 28) >> 7); + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +//x +void sc_add(unsigned char *s, const unsigned char *a, const unsigned char *b) { + int64_t a0 = 2097151 & load_3(a); + int64_t a1 = 2097151 & (load_4(a + 2) >> 5); + int64_t a2 = 2097151 & (load_3(a + 5) >> 2); + int64_t a3 = 2097151 & (load_4(a + 7) >> 7); + int64_t a4 = 2097151 & (load_4(a + 10) >> 4); + int64_t a5 = 2097151 & (load_3(a + 13) >> 1); + int64_t a6 = 2097151 & (load_4(a + 15) >> 6); + int64_t a7 = 2097151 & (load_3(a + 18) >> 3); + int64_t a8 = 2097151 & load_3(a + 21); + int64_t a9 = 2097151 & (load_4(a + 23) >> 5); + int64_t a10 = 2097151 & (load_3(a + 26) >> 2); + int64_t a11 = (load_4(a + 28) >> 7); + int64_t b0 = 2097151 & load_3(b); + int64_t b1 = 2097151 & (load_4(b + 2) >> 5); + int64_t b2 = 2097151 & (load_3(b + 5) >> 2); + int64_t b3 = 2097151 & (load_4(b + 7) >> 7); + int64_t b4 = 2097151 & (load_4(b + 10) >> 4); + int64_t b5 = 2097151 & (load_3(b + 13) >> 1); + int64_t b6 = 2097151 & (load_4(b + 15) >> 6); + int64_t b7 = 2097151 & (load_3(b + 18) >> 3); + int64_t b8 = 2097151 & load_3(b + 21); + int64_t b9 = 2097151 & (load_4(b + 23) >> 5); + int64_t b10 = 2097151 & (load_3(b + 26) >> 2); + int64_t b11 = (load_4(b + 28) >> 7); + int64_t s0 = a0 + b0; + int64_t s1 = a1 + b1; + int64_t s2 = a2 + b2; + int64_t s3 = a3 + b3; + int64_t s4 = a4 + b4; + int64_t s5 = a5 + b5; + int64_t s6 = a6 + b6; + int64_t s7 = a7 + b7; + int64_t s8 = a8 + b8; + int64_t s9 = a9 + b9; + int64_t s10 = a10 + b10; + int64_t s11 = a11 + b11; + int64_t s12 = 0; + int64_t carry0; + int64_t carry1; + int64_t carry2; + int64_t carry3; + int64_t carry4; + int64_t carry5; + int64_t carry6; + int64_t carry7; + int64_t carry8; + int64_t carry9; + int64_t carry10; + int64_t carry11; + + carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21; + carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21; + carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21; + carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21; + carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21; + carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21; + + carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21; + carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21; + carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21; + carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21; + carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21; + carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + s12 = 0; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21; + + s0 += s12 * 666643; + s1 += s12 * 470296; + s2 += s12 * 654183; + s3 -= s12 * 997805; + s4 += s12 * 136657; + s5 -= s12 * 683901; + + carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21; + carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21; + carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21; + carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21; + carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21; + carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21; + carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21; + carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21; + carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21; + carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21; + carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21; + + s[0] = s0 >> 0; + s[1] = s0 >> 8; + s[2] = (s0 >> 16) | (s1 << 5); + s[3] = s1 >> 3; + s[4] = s1 >> 11; + s[5] = (s1 >> 19) | (s2 << 2); + s[6] = s2 >> 6; + s[7] = (s2 >> 14) | (s3 << 7); + s[8] = s3 >> 1; + s[9] = s3 >> 9; + s[10] = (s3 >> 17) | (s4 << 4); + s[11] = s4 >> 4; + s[12] = s4 >> 12; + s[13] = (s4 >> 20) | (s5 << 1); + s[14] = s5 >> 7; + s[15] = (s5 >> 15) | (s6 << 6); + s[16] = s6 >> 2; + s[17] = s6 >> 10; + s[18] = (s6 >> 18) | (s7 << 3); + s[19] = s7 >> 5; + s[20] = s7 >> 13; + s[21] = s8 >> 0; + s[22] = s8 >> 8; + s[23] = (s8 >> 16) | (s9 << 5); + s[24] = s9 >> 3; + s[25] = s9 >> 11; + s[26] = (s9 >> 19) | (s10 << 2); + s[27] = s10 >> 6; + s[28] = (s10 >> 14) | (s11 << 7); + s[29] = s11 >> 1; + s[30] = s11 >> 9; + s[31] = s11 >> 17; +} + +/* Assumes that a != INT64_MIN */ +//x c.f. lt in 32 bit ref +static int64_t signum(int64_t a) { + return (a >> 63) - ((-a) >> 63); +} + +//x +int sc_check(const unsigned char *s) { + int64_t s0 = load_4(s); + int64_t s1 = load_4(s + 4); + int64_t s2 = load_4(s + 8); + int64_t s3 = load_4(s + 12); + int64_t s4 = load_4(s + 16); + int64_t s5 = load_4(s + 20); + int64_t s6 = load_4(s + 24); + int64_t s7 = load_4(s + 28); + return (signum(1559614444 - s0) + (signum(1477600026 - s1) << 1) + (signum(2734136534 - s2) << 2) + (signum(350157278 - s3) << 3) + (signum(-s4) << 4) + (signum(-s5) << 5) + (signum(-s6) << 6) + (signum(268435456 - s7) << 7)) >> 8; +} + +//x +int sc_isnonzero(const unsigned char *s) { + return (((int) (s[0] | s[1] | s[2] | s[3] | s[4] | s[5] | s[6] | s[7] | s[8] | + s[9] | s[10] | s[11] | s[12] | s[13] | s[14] | s[15] | s[16] | s[17] | + s[18] | s[19] | s[20] | s[21] | s[22] | s[23] | s[24] | s[25] | s[26] | + s[27] | s[28] | s[29] | s[30] | s[31]) - 1) >> 8) + 1; +} |