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p256_64.c
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/* Autogenerated: src/ExtractionOCaml/bedrock2_word_by_word_montgomery --lang bedrock2 --static --no-wide-int --widen-carry --widen-bytes --split-multiret --no-select p256 64 '2^256 - 2^224 + 2^192 + 2^96 - 1' mul square add sub opp from_montgomery to_montgomery nonzero selectznz to_bytes from_bytes one msat divstep divstep_precomp */
/* curve description: p256 */
/* machine_wordsize = 64 (from "64") */
/* requested operations: mul, square, add, sub, opp, from_montgomery, to_montgomery, nonzero, selectznz, to_bytes, from_bytes, one, msat, divstep, divstep_precomp */
/* m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1") */
/* */
/* NOTE: In addition to the bounds specified above each function, all */
/* functions synthesized for this Montgomery arithmetic require the */
/* input to be strictly less than the prime modulus (m), and also */
/* require the input to be in the unique saturated representation. */
/* All functions also ensure that these two properties are true of */
/* return values. */
/* */
/* Computed values: */
/* eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) */
/* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */
#include <stdint.h>
#include <memory.h>
// LITTLE-ENDIAN memory access is REQUIRED
// the following two functions are required to work around -fstrict-aliasing
static inline uintptr_t _br2_load(uintptr_t a, size_t sz) {
uintptr_t r = 0;
memcpy(&r, (void*)a, sz);
return r;
}
static inline void _br2_store(uintptr_t a, uintptr_t v, size_t sz) {
memcpy((void*)a, &v, sz);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* in1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static
void internal_fiat_p256_mul(uintptr_t out0, uintptr_t in0, uintptr_t in1) {
uintptr_t x1, x2, x3, x0, x11, x16, x19, x21, x17, x22, x14, x23, x25, x26, x15, x27, x12, x28, x30, x31, x13, x35, x38, x40, x36, x37, x42, x18, x43, x20, x44, x39, x45, x47, x48, x24, x49, x41, x50, x52, x53, x29, x54, x33, x55, x57, x58, x32, x59, x34, x60, x62, x8, x68, x71, x73, x69, x74, x66, x75, x77, x78, x67, x79, x64, x80, x82, x83, x65, x70, x46, x86, x51, x87, x72, x88, x90, x91, x56, x92, x76, x93, x95, x96, x61, x97, x81, x98, x100, x101, x63, x102, x84, x103, x105, x109, x112, x114, x110, x111, x116, x85, x117, x89, x118, x113, x119, x121, x122, x94, x123, x115, x124, x126, x127, x99, x128, x107, x129, x131, x132, x104, x133, x108, x134, x136, x137, x106, x9, x143, x146, x148, x144, x149, x141, x150, x152, x153, x142, x154, x139, x155, x157, x158, x140, x145, x120, x161, x125, x162, x147, x163, x165, x166, x130, x167, x151, x168, x170, x171, x135, x172, x156, x173, x175, x176, x138, x177, x159, x178, x180, x184, x187, x189, x185, x186, x191, x160, x192, x164, x193, x188, x194, x196, x197, x169, x198, x190, x199, x201, x202, x174, x203, x182, x204, x206, x207, x179, x208, x183, x209, x211, x212, x181, x7, x6, x5, x10, x4, x218, x221, x223, x219, x224, x216, x225, x227, x228, x217, x229, x214, x230, x232, x233, x215, x220, x195, x236, x200, x237, x222, x238, x240, x241, x205, x242, x226, x243, x245, x246, x210, x247, x231, x248, x250, x251, x213, x252, x234, x253, x255, x259, x262, x264, x260, x261, x266, x235, x267, x239, x268, x263, x269, x271, x272, x244, x273, x265, x274, x276, x277, x249, x278, x257, x279, x281, x282, x254, x283, x258, x284, x286, x287, x256, x290, x291, x292, x294, x295, x297, x298, x299, x301, x302, x288, x303, x270, x305, x289, x306, x275, x308, x293, x309, x280, x311, x296, x312, x304, x285, x314, x300, x315, x307, x310, x313, x316, x317, x318, x319, x320;
x0 = _br2_load((in0)+((uintptr_t)0ULL), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)8ULL), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)16ULL), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
x4 = _br2_load((in1)+((uintptr_t)0ULL), sizeof(uintptr_t));
x5 = _br2_load((in1)+((uintptr_t)8ULL), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)16ULL), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
/*skip*/
x8 = x1;
x9 = x2;
x10 = x3;
x11 = x0;
x12 = (x11)*(x7);
x13 = sizeof(intptr_t) == 4 ? ((uint64_t)(x11)*(x7))>>32 : ((__uint128_t)(x11)*(x7))>>64;
x14 = (x11)*(x6);
x15 = sizeof(intptr_t) == 4 ? ((uint64_t)(x11)*(x6))>>32 : ((__uint128_t)(x11)*(x6))>>64;
x16 = (x11)*(x5);
x17 = sizeof(intptr_t) == 4 ? ((uint64_t)(x11)*(x5))>>32 : ((__uint128_t)(x11)*(x5))>>64;
x18 = (x11)*(x4);
x19 = sizeof(intptr_t) == 4 ? ((uint64_t)(x11)*(x4))>>32 : ((__uint128_t)(x11)*(x4))>>64;
x20 = (x19)+(x16);
x21 = (x20)<(x19);
x22 = (x21)+(x17);
x23 = (x22)<(x17);
x24 = (x22)+(x14);
x25 = (x24)<(x14);
x26 = (x23)+(x25);
x27 = (x26)+(x15);
x28 = (x27)<(x15);
x29 = (x27)+(x12);
x30 = (x29)<(x12);
x31 = (x28)+(x30);
x32 = (x31)+(x13);
x33 = (x18)*((uintptr_t)18446744069414584321ULL);
x34 = sizeof(intptr_t) == 4 ? ((uint64_t)(x18)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x18)*((uintptr_t)18446744069414584321ULL))>>64;
x35 = (x18)*((uintptr_t)4294967295ULL);
x36 = sizeof(intptr_t) == 4 ? ((uint64_t)(x18)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x18)*((uintptr_t)4294967295ULL))>>64;
x37 = (x18)*((uintptr_t)18446744073709551615ULL);
x38 = sizeof(intptr_t) == 4 ? ((uint64_t)(x18)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x18)*((uintptr_t)18446744073709551615ULL))>>64;
x39 = (x38)+(x35);
x40 = (x39)<(x38);
x41 = (x40)+(x36);
x42 = (x18)+(x37);
x43 = (x42)<(x18);
x44 = (x43)+(x20);
x45 = (x44)<(x20);
x46 = (x44)+(x39);
x47 = (x46)<(x39);
x48 = (x45)+(x47);
x49 = (x48)+(x24);
x50 = (x49)<(x24);
x51 = (x49)+(x41);
x52 = (x51)<(x41);
x53 = (x50)+(x52);
x54 = (x53)+(x29);
x55 = (x54)<(x29);
x56 = (x54)+(x33);
x57 = (x56)<(x33);
x58 = (x55)+(x57);
x59 = (x58)+(x32);
x60 = (x59)<(x32);
x61 = (x59)+(x34);
x62 = (x61)<(x34);
x63 = (x60)+(x62);
x64 = (x8)*(x7);
x65 = sizeof(intptr_t) == 4 ? ((uint64_t)(x8)*(x7))>>32 : ((__uint128_t)(x8)*(x7))>>64;
x66 = (x8)*(x6);
x67 = sizeof(intptr_t) == 4 ? ((uint64_t)(x8)*(x6))>>32 : ((__uint128_t)(x8)*(x6))>>64;
x68 = (x8)*(x5);
x69 = sizeof(intptr_t) == 4 ? ((uint64_t)(x8)*(x5))>>32 : ((__uint128_t)(x8)*(x5))>>64;
x70 = (x8)*(x4);
x71 = sizeof(intptr_t) == 4 ? ((uint64_t)(x8)*(x4))>>32 : ((__uint128_t)(x8)*(x4))>>64;
x72 = (x71)+(x68);
x73 = (x72)<(x71);
x74 = (x73)+(x69);
x75 = (x74)<(x69);
x76 = (x74)+(x66);
x77 = (x76)<(x66);
x78 = (x75)+(x77);
x79 = (x78)+(x67);
x80 = (x79)<(x67);
x81 = (x79)+(x64);
x82 = (x81)<(x64);
x83 = (x80)+(x82);
x84 = (x83)+(x65);
x85 = (x46)+(x70);
x86 = (x85)<(x46);
x87 = (x86)+(x51);
x88 = (x87)<(x51);
x89 = (x87)+(x72);
x90 = (x89)<(x72);
x91 = (x88)+(x90);
x92 = (x91)+(x56);
x93 = (x92)<(x56);
x94 = (x92)+(x76);
x95 = (x94)<(x76);
x96 = (x93)+(x95);
x97 = (x96)+(x61);
x98 = (x97)<(x61);
x99 = (x97)+(x81);
x100 = (x99)<(x81);
x101 = (x98)+(x100);
x102 = (x101)+(x63);
x103 = (x102)<(x63);
x104 = (x102)+(x84);
x105 = (x104)<(x84);
x106 = (x103)+(x105);
x107 = (x85)*((uintptr_t)18446744069414584321ULL);
x108 = sizeof(intptr_t) == 4 ? ((uint64_t)(x85)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x85)*((uintptr_t)18446744069414584321ULL))>>64;
x109 = (x85)*((uintptr_t)4294967295ULL);
x110 = sizeof(intptr_t) == 4 ? ((uint64_t)(x85)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x85)*((uintptr_t)4294967295ULL))>>64;
x111 = (x85)*((uintptr_t)18446744073709551615ULL);
x112 = sizeof(intptr_t) == 4 ? ((uint64_t)(x85)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x85)*((uintptr_t)18446744073709551615ULL))>>64;
x113 = (x112)+(x109);
x114 = (x113)<(x112);
x115 = (x114)+(x110);
x116 = (x85)+(x111);
x117 = (x116)<(x85);
x118 = (x117)+(x89);
x119 = (x118)<(x89);
x120 = (x118)+(x113);
x121 = (x120)<(x113);
x122 = (x119)+(x121);
x123 = (x122)+(x94);
x124 = (x123)<(x94);
x125 = (x123)+(x115);
x126 = (x125)<(x115);
x127 = (x124)+(x126);
x128 = (x127)+(x99);
x129 = (x128)<(x99);
x130 = (x128)+(x107);
x131 = (x130)<(x107);
x132 = (x129)+(x131);
x133 = (x132)+(x104);
x134 = (x133)<(x104);
x135 = (x133)+(x108);
x136 = (x135)<(x108);
x137 = (x134)+(x136);
x138 = (x137)+(x106);
x139 = (x9)*(x7);
x140 = sizeof(intptr_t) == 4 ? ((uint64_t)(x9)*(x7))>>32 : ((__uint128_t)(x9)*(x7))>>64;
x141 = (x9)*(x6);
x142 = sizeof(intptr_t) == 4 ? ((uint64_t)(x9)*(x6))>>32 : ((__uint128_t)(x9)*(x6))>>64;
x143 = (x9)*(x5);
x144 = sizeof(intptr_t) == 4 ? ((uint64_t)(x9)*(x5))>>32 : ((__uint128_t)(x9)*(x5))>>64;
x145 = (x9)*(x4);
x146 = sizeof(intptr_t) == 4 ? ((uint64_t)(x9)*(x4))>>32 : ((__uint128_t)(x9)*(x4))>>64;
x147 = (x146)+(x143);
x148 = (x147)<(x146);
x149 = (x148)+(x144);
x150 = (x149)<(x144);
x151 = (x149)+(x141);
x152 = (x151)<(x141);
x153 = (x150)+(x152);
x154 = (x153)+(x142);
x155 = (x154)<(x142);
x156 = (x154)+(x139);
x157 = (x156)<(x139);
x158 = (x155)+(x157);
x159 = (x158)+(x140);
x160 = (x120)+(x145);
x161 = (x160)<(x120);
x162 = (x161)+(x125);
x163 = (x162)<(x125);
x164 = (x162)+(x147);
x165 = (x164)<(x147);
x166 = (x163)+(x165);
x167 = (x166)+(x130);
x168 = (x167)<(x130);
x169 = (x167)+(x151);
x170 = (x169)<(x151);
x171 = (x168)+(x170);
x172 = (x171)+(x135);
x173 = (x172)<(x135);
x174 = (x172)+(x156);
x175 = (x174)<(x156);
x176 = (x173)+(x175);
x177 = (x176)+(x138);
x178 = (x177)<(x138);
x179 = (x177)+(x159);
x180 = (x179)<(x159);
x181 = (x178)+(x180);
x182 = (x160)*((uintptr_t)18446744069414584321ULL);
x183 = sizeof(intptr_t) == 4 ? ((uint64_t)(x160)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x160)*((uintptr_t)18446744069414584321ULL))>>64;
x184 = (x160)*((uintptr_t)4294967295ULL);
x185 = sizeof(intptr_t) == 4 ? ((uint64_t)(x160)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x160)*((uintptr_t)4294967295ULL))>>64;
x186 = (x160)*((uintptr_t)18446744073709551615ULL);
x187 = sizeof(intptr_t) == 4 ? ((uint64_t)(x160)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x160)*((uintptr_t)18446744073709551615ULL))>>64;
x188 = (x187)+(x184);
x189 = (x188)<(x187);
x190 = (x189)+(x185);
x191 = (x160)+(x186);
x192 = (x191)<(x160);
x193 = (x192)+(x164);
x194 = (x193)<(x164);
x195 = (x193)+(x188);
x196 = (x195)<(x188);
x197 = (x194)+(x196);
x198 = (x197)+(x169);
x199 = (x198)<(x169);
x200 = (x198)+(x190);
x201 = (x200)<(x190);
x202 = (x199)+(x201);
x203 = (x202)+(x174);
x204 = (x203)<(x174);
x205 = (x203)+(x182);
x206 = (x205)<(x182);
x207 = (x204)+(x206);
x208 = (x207)+(x179);
x209 = (x208)<(x179);
x210 = (x208)+(x183);
x211 = (x210)<(x183);
x212 = (x209)+(x211);
x213 = (x212)+(x181);
x214 = (x10)*(x7);
x215 = sizeof(intptr_t) == 4 ? ((uint64_t)(x10)*(x7))>>32 : ((__uint128_t)(x10)*(x7))>>64;
x216 = (x10)*(x6);
x217 = sizeof(intptr_t) == 4 ? ((uint64_t)(x10)*(x6))>>32 : ((__uint128_t)(x10)*(x6))>>64;
x218 = (x10)*(x5);
x219 = sizeof(intptr_t) == 4 ? ((uint64_t)(x10)*(x5))>>32 : ((__uint128_t)(x10)*(x5))>>64;
x220 = (x10)*(x4);
x221 = sizeof(intptr_t) == 4 ? ((uint64_t)(x10)*(x4))>>32 : ((__uint128_t)(x10)*(x4))>>64;
x222 = (x221)+(x218);
x223 = (x222)<(x221);
x224 = (x223)+(x219);
x225 = (x224)<(x219);
x226 = (x224)+(x216);
x227 = (x226)<(x216);
x228 = (x225)+(x227);
x229 = (x228)+(x217);
x230 = (x229)<(x217);
x231 = (x229)+(x214);
x232 = (x231)<(x214);
x233 = (x230)+(x232);
x234 = (x233)+(x215);
x235 = (x195)+(x220);
x236 = (x235)<(x195);
x237 = (x236)+(x200);
x238 = (x237)<(x200);
x239 = (x237)+(x222);
x240 = (x239)<(x222);
x241 = (x238)+(x240);
x242 = (x241)+(x205);
x243 = (x242)<(x205);
x244 = (x242)+(x226);
x245 = (x244)<(x226);
x246 = (x243)+(x245);
x247 = (x246)+(x210);
x248 = (x247)<(x210);
x249 = (x247)+(x231);
x250 = (x249)<(x231);
x251 = (x248)+(x250);
x252 = (x251)+(x213);
x253 = (x252)<(x213);
x254 = (x252)+(x234);
x255 = (x254)<(x234);
x256 = (x253)+(x255);
x257 = (x235)*((uintptr_t)18446744069414584321ULL);
x258 = sizeof(intptr_t) == 4 ? ((uint64_t)(x235)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x235)*((uintptr_t)18446744069414584321ULL))>>64;
x259 = (x235)*((uintptr_t)4294967295ULL);
x260 = sizeof(intptr_t) == 4 ? ((uint64_t)(x235)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x235)*((uintptr_t)4294967295ULL))>>64;
x261 = (x235)*((uintptr_t)18446744073709551615ULL);
x262 = sizeof(intptr_t) == 4 ? ((uint64_t)(x235)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x235)*((uintptr_t)18446744073709551615ULL))>>64;
x263 = (x262)+(x259);
x264 = (x263)<(x262);
x265 = (x264)+(x260);
x266 = (x235)+(x261);
x267 = (x266)<(x235);
x268 = (x267)+(x239);
x269 = (x268)<(x239);
x270 = (x268)+(x263);
x271 = (x270)<(x263);
x272 = (x269)+(x271);
x273 = (x272)+(x244);
x274 = (x273)<(x244);
x275 = (x273)+(x265);
x276 = (x275)<(x265);
x277 = (x274)+(x276);
x278 = (x277)+(x249);
x279 = (x278)<(x249);
x280 = (x278)+(x257);
x281 = (x280)<(x257);
x282 = (x279)+(x281);
x283 = (x282)+(x254);
x284 = (x283)<(x254);
x285 = (x283)+(x258);
x286 = (x285)<(x258);
x287 = (x284)+(x286);
x288 = (x287)+(x256);
x289 = (x270)-((uintptr_t)18446744073709551615ULL);
x290 = (x270)<(x289);
x291 = (x275)-((uintptr_t)4294967295ULL);
x292 = (x275)<(x291);
x293 = (x291)-(x290);
x294 = (x291)<(x293);
x295 = (x292)+(x294);
x296 = (x280)-(x295);
x297 = (x280)<(x296);
x298 = (x285)-((uintptr_t)18446744069414584321ULL);
x299 = (x285)<(x298);
x300 = (x298)-(x297);
x301 = (x298)<(x300);
x302 = (x299)+(x301);
x303 = (x288)-(x302);
x304 = (x288)<(x303);
x305 = ((uintptr_t)-1ULL)+((x304)==((uintptr_t)0ULL));
x306 = (x305)^((uintptr_t)18446744073709551615ULL);
x307 = ((x270)&(x305))|((x289)&(x306));
x308 = ((uintptr_t)-1ULL)+((x304)==((uintptr_t)0ULL));
x309 = (x308)^((uintptr_t)18446744073709551615ULL);
x310 = ((x275)&(x308))|((x293)&(x309));
x311 = ((uintptr_t)-1ULL)+((x304)==((uintptr_t)0ULL));
x312 = (x311)^((uintptr_t)18446744073709551615ULL);
x313 = ((x280)&(x311))|((x296)&(x312));
x314 = ((uintptr_t)-1ULL)+((x304)==((uintptr_t)0ULL));
x315 = (x314)^((uintptr_t)18446744073709551615ULL);
x316 = ((x285)&(x314))|((x300)&(x315));
x317 = x307;
x318 = x310;
x319 = x313;
x320 = x316;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x317, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x318, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x319, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x320, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p256_mul(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
internal_fiat_p256_mul((uintptr_t)out1, (uintptr_t)arg1, (uintptr_t)arg2);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static
void internal_fiat_p256_square(uintptr_t out0, uintptr_t in0) {
uintptr_t x7, x12, x15, x17, x13, x18, x10, x19, x21, x22, x11, x23, x8, x24, x26, x27, x9, x31, x34, x36, x32, x33, x38, x14, x39, x16, x40, x35, x41, x43, x44, x20, x45, x37, x46, x48, x49, x25, x50, x29, x51, x53, x54, x28, x55, x30, x56, x58, x4, x64, x67, x69, x65, x70, x62, x71, x73, x74, x63, x75, x60, x76, x78, x79, x61, x66, x42, x82, x47, x83, x68, x84, x86, x87, x52, x88, x72, x89, x91, x92, x57, x93, x77, x94, x96, x97, x59, x98, x80, x99, x101, x105, x108, x110, x106, x107, x112, x81, x113, x85, x114, x109, x115, x117, x118, x90, x119, x111, x120, x122, x123, x95, x124, x103, x125, x127, x128, x100, x129, x104, x130, x132, x133, x102, x5, x139, x142, x144, x140, x145, x137, x146, x148, x149, x138, x150, x135, x151, x153, x154, x136, x141, x116, x157, x121, x158, x143, x159, x161, x162, x126, x163, x147, x164, x166, x167, x131, x168, x152, x169, x171, x172, x134, x173, x155, x174, x176, x180, x183, x185, x181, x182, x187, x156, x188, x160, x189, x184, x190, x192, x193, x165, x194, x186, x195, x197, x198, x170, x199, x178, x200, x202, x203, x175, x204, x179, x205, x207, x208, x177, x3, x2, x1, x6, x0, x214, x217, x219, x215, x220, x212, x221, x223, x224, x213, x225, x210, x226, x228, x229, x211, x216, x191, x232, x196, x233, x218, x234, x236, x237, x201, x238, x222, x239, x241, x242, x206, x243, x227, x244, x246, x247, x209, x248, x230, x249, x251, x255, x258, x260, x256, x257, x262, x231, x263, x235, x264, x259, x265, x267, x268, x240, x269, x261, x270, x272, x273, x245, x274, x253, x275, x277, x278, x250, x279, x254, x280, x282, x283, x252, x286, x287, x288, x290, x291, x293, x294, x295, x297, x298, x284, x299, x266, x301, x285, x302, x271, x304, x289, x305, x276, x307, x292, x308, x300, x281, x310, x296, x311, x303, x306, x309, x312, x313, x314, x315, x316;
x0 = _br2_load((in0)+((uintptr_t)0ULL), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)8ULL), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)16ULL), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
/*skip*/
x4 = x1;
x5 = x2;
x6 = x3;
x7 = x0;
x8 = (x7)*(x3);
x9 = sizeof(intptr_t) == 4 ? ((uint64_t)(x7)*(x3))>>32 : ((__uint128_t)(x7)*(x3))>>64;
x10 = (x7)*(x2);
x11 = sizeof(intptr_t) == 4 ? ((uint64_t)(x7)*(x2))>>32 : ((__uint128_t)(x7)*(x2))>>64;
x12 = (x7)*(x1);
x13 = sizeof(intptr_t) == 4 ? ((uint64_t)(x7)*(x1))>>32 : ((__uint128_t)(x7)*(x1))>>64;
x14 = (x7)*(x0);
x15 = sizeof(intptr_t) == 4 ? ((uint64_t)(x7)*(x0))>>32 : ((__uint128_t)(x7)*(x0))>>64;
x16 = (x15)+(x12);
x17 = (x16)<(x15);
x18 = (x17)+(x13);
x19 = (x18)<(x13);
x20 = (x18)+(x10);
x21 = (x20)<(x10);
x22 = (x19)+(x21);
x23 = (x22)+(x11);
x24 = (x23)<(x11);
x25 = (x23)+(x8);
x26 = (x25)<(x8);
x27 = (x24)+(x26);
x28 = (x27)+(x9);
x29 = (x14)*((uintptr_t)18446744069414584321ULL);
x30 = sizeof(intptr_t) == 4 ? ((uint64_t)(x14)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x14)*((uintptr_t)18446744069414584321ULL))>>64;
x31 = (x14)*((uintptr_t)4294967295ULL);
x32 = sizeof(intptr_t) == 4 ? ((uint64_t)(x14)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x14)*((uintptr_t)4294967295ULL))>>64;
x33 = (x14)*((uintptr_t)18446744073709551615ULL);
x34 = sizeof(intptr_t) == 4 ? ((uint64_t)(x14)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x14)*((uintptr_t)18446744073709551615ULL))>>64;
x35 = (x34)+(x31);
x36 = (x35)<(x34);
x37 = (x36)+(x32);
x38 = (x14)+(x33);
x39 = (x38)<(x14);
x40 = (x39)+(x16);
x41 = (x40)<(x16);
x42 = (x40)+(x35);
x43 = (x42)<(x35);
x44 = (x41)+(x43);
x45 = (x44)+(x20);
x46 = (x45)<(x20);
x47 = (x45)+(x37);
x48 = (x47)<(x37);
x49 = (x46)+(x48);
x50 = (x49)+(x25);
x51 = (x50)<(x25);
x52 = (x50)+(x29);
x53 = (x52)<(x29);
x54 = (x51)+(x53);
x55 = (x54)+(x28);
x56 = (x55)<(x28);
x57 = (x55)+(x30);
x58 = (x57)<(x30);
x59 = (x56)+(x58);
x60 = (x4)*(x3);
x61 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*(x3))>>32 : ((__uint128_t)(x4)*(x3))>>64;
x62 = (x4)*(x2);
x63 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*(x2))>>32 : ((__uint128_t)(x4)*(x2))>>64;
x64 = (x4)*(x1);
x65 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*(x1))>>32 : ((__uint128_t)(x4)*(x1))>>64;
x66 = (x4)*(x0);
x67 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*(x0))>>32 : ((__uint128_t)(x4)*(x0))>>64;
x68 = (x67)+(x64);
x69 = (x68)<(x67);
x70 = (x69)+(x65);
x71 = (x70)<(x65);
x72 = (x70)+(x62);
x73 = (x72)<(x62);
x74 = (x71)+(x73);
x75 = (x74)+(x63);
x76 = (x75)<(x63);
x77 = (x75)+(x60);
x78 = (x77)<(x60);
x79 = (x76)+(x78);
x80 = (x79)+(x61);
x81 = (x42)+(x66);
x82 = (x81)<(x42);
x83 = (x82)+(x47);
x84 = (x83)<(x47);
x85 = (x83)+(x68);
x86 = (x85)<(x68);
x87 = (x84)+(x86);
x88 = (x87)+(x52);
x89 = (x88)<(x52);
x90 = (x88)+(x72);
x91 = (x90)<(x72);
x92 = (x89)+(x91);
x93 = (x92)+(x57);
x94 = (x93)<(x57);
x95 = (x93)+(x77);
x96 = (x95)<(x77);
x97 = (x94)+(x96);
x98 = (x97)+(x59);
x99 = (x98)<(x59);
x100 = (x98)+(x80);
x101 = (x100)<(x80);
x102 = (x99)+(x101);
x103 = (x81)*((uintptr_t)18446744069414584321ULL);
x104 = sizeof(intptr_t) == 4 ? ((uint64_t)(x81)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x81)*((uintptr_t)18446744069414584321ULL))>>64;
x105 = (x81)*((uintptr_t)4294967295ULL);
x106 = sizeof(intptr_t) == 4 ? ((uint64_t)(x81)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x81)*((uintptr_t)4294967295ULL))>>64;
x107 = (x81)*((uintptr_t)18446744073709551615ULL);
x108 = sizeof(intptr_t) == 4 ? ((uint64_t)(x81)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x81)*((uintptr_t)18446744073709551615ULL))>>64;
x109 = (x108)+(x105);
x110 = (x109)<(x108);
x111 = (x110)+(x106);
x112 = (x81)+(x107);
x113 = (x112)<(x81);
x114 = (x113)+(x85);
x115 = (x114)<(x85);
x116 = (x114)+(x109);
x117 = (x116)<(x109);
x118 = (x115)+(x117);
x119 = (x118)+(x90);
x120 = (x119)<(x90);
x121 = (x119)+(x111);
x122 = (x121)<(x111);
x123 = (x120)+(x122);
x124 = (x123)+(x95);
x125 = (x124)<(x95);
x126 = (x124)+(x103);
x127 = (x126)<(x103);
x128 = (x125)+(x127);
x129 = (x128)+(x100);
x130 = (x129)<(x100);
x131 = (x129)+(x104);
x132 = (x131)<(x104);
x133 = (x130)+(x132);
x134 = (x133)+(x102);
x135 = (x5)*(x3);
x136 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*(x3))>>32 : ((__uint128_t)(x5)*(x3))>>64;
x137 = (x5)*(x2);
x138 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*(x2))>>32 : ((__uint128_t)(x5)*(x2))>>64;
x139 = (x5)*(x1);
x140 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*(x1))>>32 : ((__uint128_t)(x5)*(x1))>>64;
x141 = (x5)*(x0);
x142 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*(x0))>>32 : ((__uint128_t)(x5)*(x0))>>64;
x143 = (x142)+(x139);
x144 = (x143)<(x142);
x145 = (x144)+(x140);
x146 = (x145)<(x140);
x147 = (x145)+(x137);
x148 = (x147)<(x137);
x149 = (x146)+(x148);
x150 = (x149)+(x138);
x151 = (x150)<(x138);
x152 = (x150)+(x135);
x153 = (x152)<(x135);
x154 = (x151)+(x153);
x155 = (x154)+(x136);
x156 = (x116)+(x141);
x157 = (x156)<(x116);
x158 = (x157)+(x121);
x159 = (x158)<(x121);
x160 = (x158)+(x143);
x161 = (x160)<(x143);
x162 = (x159)+(x161);
x163 = (x162)+(x126);
x164 = (x163)<(x126);
x165 = (x163)+(x147);
x166 = (x165)<(x147);
x167 = (x164)+(x166);
x168 = (x167)+(x131);
x169 = (x168)<(x131);
x170 = (x168)+(x152);
x171 = (x170)<(x152);
x172 = (x169)+(x171);
x173 = (x172)+(x134);
x174 = (x173)<(x134);
x175 = (x173)+(x155);
x176 = (x175)<(x155);
x177 = (x174)+(x176);
x178 = (x156)*((uintptr_t)18446744069414584321ULL);
x179 = sizeof(intptr_t) == 4 ? ((uint64_t)(x156)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x156)*((uintptr_t)18446744069414584321ULL))>>64;
x180 = (x156)*((uintptr_t)4294967295ULL);
x181 = sizeof(intptr_t) == 4 ? ((uint64_t)(x156)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x156)*((uintptr_t)4294967295ULL))>>64;
x182 = (x156)*((uintptr_t)18446744073709551615ULL);
x183 = sizeof(intptr_t) == 4 ? ((uint64_t)(x156)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x156)*((uintptr_t)18446744073709551615ULL))>>64;
x184 = (x183)+(x180);
x185 = (x184)<(x183);
x186 = (x185)+(x181);
x187 = (x156)+(x182);
x188 = (x187)<(x156);
x189 = (x188)+(x160);
x190 = (x189)<(x160);
x191 = (x189)+(x184);
x192 = (x191)<(x184);
x193 = (x190)+(x192);
x194 = (x193)+(x165);
x195 = (x194)<(x165);
x196 = (x194)+(x186);
x197 = (x196)<(x186);
x198 = (x195)+(x197);
x199 = (x198)+(x170);
x200 = (x199)<(x170);
x201 = (x199)+(x178);
x202 = (x201)<(x178);
x203 = (x200)+(x202);
x204 = (x203)+(x175);
x205 = (x204)<(x175);
x206 = (x204)+(x179);
x207 = (x206)<(x179);
x208 = (x205)+(x207);
x209 = (x208)+(x177);
x210 = (x6)*(x3);
x211 = sizeof(intptr_t) == 4 ? ((uint64_t)(x6)*(x3))>>32 : ((__uint128_t)(x6)*(x3))>>64;
x212 = (x6)*(x2);
x213 = sizeof(intptr_t) == 4 ? ((uint64_t)(x6)*(x2))>>32 : ((__uint128_t)(x6)*(x2))>>64;
x214 = (x6)*(x1);
x215 = sizeof(intptr_t) == 4 ? ((uint64_t)(x6)*(x1))>>32 : ((__uint128_t)(x6)*(x1))>>64;
x216 = (x6)*(x0);
x217 = sizeof(intptr_t) == 4 ? ((uint64_t)(x6)*(x0))>>32 : ((__uint128_t)(x6)*(x0))>>64;
x218 = (x217)+(x214);
x219 = (x218)<(x217);
x220 = (x219)+(x215);
x221 = (x220)<(x215);
x222 = (x220)+(x212);
x223 = (x222)<(x212);
x224 = (x221)+(x223);
x225 = (x224)+(x213);
x226 = (x225)<(x213);
x227 = (x225)+(x210);
x228 = (x227)<(x210);
x229 = (x226)+(x228);
x230 = (x229)+(x211);
x231 = (x191)+(x216);
x232 = (x231)<(x191);
x233 = (x232)+(x196);
x234 = (x233)<(x196);
x235 = (x233)+(x218);
x236 = (x235)<(x218);
x237 = (x234)+(x236);
x238 = (x237)+(x201);
x239 = (x238)<(x201);
x240 = (x238)+(x222);
x241 = (x240)<(x222);
x242 = (x239)+(x241);
x243 = (x242)+(x206);
x244 = (x243)<(x206);
x245 = (x243)+(x227);
x246 = (x245)<(x227);
x247 = (x244)+(x246);
x248 = (x247)+(x209);
x249 = (x248)<(x209);
x250 = (x248)+(x230);
x251 = (x250)<(x230);
x252 = (x249)+(x251);
x253 = (x231)*((uintptr_t)18446744069414584321ULL);
x254 = sizeof(intptr_t) == 4 ? ((uint64_t)(x231)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x231)*((uintptr_t)18446744069414584321ULL))>>64;
x255 = (x231)*((uintptr_t)4294967295ULL);
x256 = sizeof(intptr_t) == 4 ? ((uint64_t)(x231)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x231)*((uintptr_t)4294967295ULL))>>64;
x257 = (x231)*((uintptr_t)18446744073709551615ULL);
x258 = sizeof(intptr_t) == 4 ? ((uint64_t)(x231)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x231)*((uintptr_t)18446744073709551615ULL))>>64;
x259 = (x258)+(x255);
x260 = (x259)<(x258);
x261 = (x260)+(x256);
x262 = (x231)+(x257);
x263 = (x262)<(x231);
x264 = (x263)+(x235);
x265 = (x264)<(x235);
x266 = (x264)+(x259);
x267 = (x266)<(x259);
x268 = (x265)+(x267);
x269 = (x268)+(x240);
x270 = (x269)<(x240);
x271 = (x269)+(x261);
x272 = (x271)<(x261);
x273 = (x270)+(x272);
x274 = (x273)+(x245);
x275 = (x274)<(x245);
x276 = (x274)+(x253);
x277 = (x276)<(x253);
x278 = (x275)+(x277);
x279 = (x278)+(x250);
x280 = (x279)<(x250);
x281 = (x279)+(x254);
x282 = (x281)<(x254);
x283 = (x280)+(x282);
x284 = (x283)+(x252);
x285 = (x266)-((uintptr_t)18446744073709551615ULL);
x286 = (x266)<(x285);
x287 = (x271)-((uintptr_t)4294967295ULL);
x288 = (x271)<(x287);
x289 = (x287)-(x286);
x290 = (x287)<(x289);
x291 = (x288)+(x290);
x292 = (x276)-(x291);
x293 = (x276)<(x292);
x294 = (x281)-((uintptr_t)18446744069414584321ULL);
x295 = (x281)<(x294);
x296 = (x294)-(x293);
x297 = (x294)<(x296);
x298 = (x295)+(x297);
x299 = (x284)-(x298);
x300 = (x284)<(x299);
x301 = ((uintptr_t)-1ULL)+((x300)==((uintptr_t)0ULL));
x302 = (x301)^((uintptr_t)18446744073709551615ULL);
x303 = ((x266)&(x301))|((x285)&(x302));
x304 = ((uintptr_t)-1ULL)+((x300)==((uintptr_t)0ULL));
x305 = (x304)^((uintptr_t)18446744073709551615ULL);
x306 = ((x271)&(x304))|((x289)&(x305));
x307 = ((uintptr_t)-1ULL)+((x300)==((uintptr_t)0ULL));
x308 = (x307)^((uintptr_t)18446744073709551615ULL);
x309 = ((x276)&(x307))|((x292)&(x308));
x310 = ((uintptr_t)-1ULL)+((x300)==((uintptr_t)0ULL));
x311 = (x310)^((uintptr_t)18446744073709551615ULL);
x312 = ((x281)&(x310))|((x296)&(x311));
x313 = x303;
x314 = x306;
x315 = x309;
x316 = x312;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x313, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x314, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x315, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x316, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p256_square(uint64_t out1[4], const uint64_t arg1[4]) {
internal_fiat_p256_square((uintptr_t)out1, (uintptr_t)arg1);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* in1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static
void internal_fiat_p256_add(uintptr_t out0, uintptr_t in0, uintptr_t in1) {
uintptr_t x4, x0, x9, x1, x5, x11, x2, x6, x13, x3, x7, x17, x15, x20, x8, x23, x16, x24, x10, x26, x18, x27, x12, x29, x19, x30, x22, x14, x32, x21, x33, x25, x28, x31, x34, x35, x36, x37, x38;
x0 = _br2_load((in0)+((uintptr_t)0ULL), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)8ULL), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)16ULL), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
x4 = _br2_load((in1)+((uintptr_t)0ULL), sizeof(uintptr_t));
x5 = _br2_load((in1)+((uintptr_t)8ULL), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)16ULL), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
/*skip*/
x8 = (x0)+(x4);
x9 = ((x8)<(x0))+(x1);
x10 = (x9)+(x5);
x11 = (((x9)<(x1))+((x10)<(x5)))+(x2);
x12 = (x11)+(x6);
x13 = (((x11)<(x2))+((x12)<(x6)))+(x3);
x14 = (x13)+(x7);
x15 = ((x13)<(x3))+((x14)<(x7));
x16 = (x8)-((uintptr_t)18446744073709551615ULL);
x17 = (x10)-((uintptr_t)4294967295ULL);
x18 = (x17)-((x8)<(x16));
x19 = (x12)-(((x10)<(x17))+((x17)<(x18)));
x20 = (x14)-((uintptr_t)18446744069414584321ULL);
x21 = (x20)-((x12)<(x19));
x22 = (x15)<((x15)-(((x14)<(x20))+((x20)<(x21))));
x23 = ((uintptr_t)-1ULL)+((x22)==((uintptr_t)0ULL));
x24 = (x23)^((uintptr_t)18446744073709551615ULL);
x25 = ((x8)&(x23))|((x16)&(x24));
x26 = ((uintptr_t)-1ULL)+((x22)==((uintptr_t)0ULL));
x27 = (x26)^((uintptr_t)18446744073709551615ULL);
x28 = ((x10)&(x26))|((x18)&(x27));
x29 = ((uintptr_t)-1ULL)+((x22)==((uintptr_t)0ULL));
x30 = (x29)^((uintptr_t)18446744073709551615ULL);
x31 = ((x12)&(x29))|((x19)&(x30));
x32 = ((uintptr_t)-1ULL)+((x22)==((uintptr_t)0ULL));
x33 = (x32)^((uintptr_t)18446744073709551615ULL);
x34 = ((x14)&(x32))|((x21)&(x33));
x35 = x25;
x36 = x28;
x37 = x31;
x38 = x34;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x35, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x36, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x37, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x38, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p256_add(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
internal_fiat_p256_add((uintptr_t)out1, (uintptr_t)arg1, (uintptr_t)arg2);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* in1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static
void internal_fiat_p256_sub(uintptr_t out0, uintptr_t in0, uintptr_t in1) {
uintptr_t x4, x5, x0, x6, x1, x9, x7, x2, x11, x3, x13, x8, x17, x10, x12, x14, x15, x16, x18, x19, x20, x21, x22, x23, x24;
x0 = _br2_load((in0)+((uintptr_t)0ULL), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)8ULL), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)16ULL), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
x4 = _br2_load((in1)+((uintptr_t)0ULL), sizeof(uintptr_t));
x5 = _br2_load((in1)+((uintptr_t)8ULL), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)16ULL), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
/*skip*/
x8 = (x0)-(x4);
x9 = (x1)-(x5);
x10 = (x9)-((x0)<(x8));
x11 = (x2)-(x6);
x12 = (x11)-(((x1)<(x9))+((x9)<(x10)));
x13 = (x3)-(x7);
x14 = (x13)-(((x2)<(x11))+((x11)<(x12)));
x15 = ((uintptr_t)-1ULL)+((((x3)<(x13))+((x13)<(x14)))==((uintptr_t)0ULL));
x16 = (x8)+(x15);
x17 = ((x16)<(x8))+(x10);
x18 = (x17)+((x15)&((uintptr_t)4294967295ULL));
x19 = (((x17)<(x10))+((x18)<((x15)&((uintptr_t)4294967295ULL))))+(x12);
x20 = (((x19)<(x12))+(x14))+((x15)&((uintptr_t)18446744069414584321ULL));
x21 = x16;
x22 = x18;
x23 = x19;
x24 = x20;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x21, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x22, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x23, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x24, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p256_sub(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
internal_fiat_p256_sub((uintptr_t)out1, (uintptr_t)arg1, (uintptr_t)arg2);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static
void internal_fiat_p256_opp(uintptr_t out0, uintptr_t in0) {
uintptr_t x0, x1, x2, x5, x3, x7, x9, x4, x13, x6, x8, x10, x11, x12, x14, x15, x16, x17, x18, x19, x20;
x0 = _br2_load((in0)+((uintptr_t)0ULL), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)8ULL), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)16ULL), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
/*skip*/
x4 = ((uintptr_t)0ULL)-(x0);
x5 = ((uintptr_t)0ULL)-(x1);
x6 = (x5)-(((uintptr_t)0ULL)<(x4));
x7 = ((uintptr_t)0ULL)-(x2);
x8 = (x7)-((((uintptr_t)0ULL)<(x5))+((x5)<(x6)));
x9 = ((uintptr_t)0ULL)-(x3);
x10 = (x9)-((((uintptr_t)0ULL)<(x7))+((x7)<(x8)));
x11 = ((uintptr_t)-1ULL)+(((((uintptr_t)0ULL)<(x9))+((x9)<(x10)))==((uintptr_t)0ULL));
x12 = (x4)+(x11);
x13 = ((x12)<(x4))+(x6);
x14 = (x13)+((x11)&((uintptr_t)4294967295ULL));
x15 = (((x13)<(x6))+((x14)<((x11)&((uintptr_t)4294967295ULL))))+(x8);
x16 = (((x15)<(x8))+(x10))+((x11)&((uintptr_t)18446744069414584321ULL));
x17 = x12;
x18 = x14;
x19 = x15;
x20 = x16;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x17, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x18, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x19, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x20, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p256_opp(uint64_t out1[4], const uint64_t arg1[4]) {
internal_fiat_p256_opp((uintptr_t)out1, (uintptr_t)arg1);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static
void internal_fiat_p256_from_montgomery(uintptr_t out0, uintptr_t in0) {
uintptr_t x0, x8, x4, x9, x1, x11, x18, x13, x21, x14, x12, x10, x7, x19, x23, x5, x20, x17, x25, x6, x15, x2, x22, x24, x26, x35, x28, x38, x29, x36, x40, x30, x37, x34, x42, x31, x27, x16, x32, x3, x39, x41, x43, x51, x54, x46, x52, x56, x47, x53, x50, x58, x48, x44, x33, x49, x45, x62, x65, x55, x68, x61, x69, x57, x71, x63, x72, x59, x74, x64, x75, x67, x60, x77, x66, x78, x70, x73, x76, x79, x80, x81, x82, x83;
x0 = _br2_load((in0)+((uintptr_t)0ULL), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)8ULL), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)16ULL), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)24ULL), sizeof(uintptr_t));
/*skip*/
/*skip*/
x4 = x0;
x5 = (x4)*((uintptr_t)18446744069414584321ULL);
x6 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x4)*((uintptr_t)18446744069414584321ULL))>>64;
x7 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x4)*((uintptr_t)4294967295ULL))>>64;
x8 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x4)*((uintptr_t)18446744073709551615ULL))>>64;
x9 = (x8)+((x4)*((uintptr_t)4294967295ULL));
x10 = (x9)<(x8);
x11 = (((x4)+((x4)*((uintptr_t)18446744073709551615ULL)))<(x4))+(x9);
x12 = (x11)<(x9);
x13 = (x11)+(x1);
x14 = (x13)<(x11);
x15 = (x13)*((uintptr_t)18446744069414584321ULL);
x16 = sizeof(intptr_t) == 4 ? ((uint64_t)(x13)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x13)*((uintptr_t)18446744069414584321ULL))>>64;
x17 = sizeof(intptr_t) == 4 ? ((uint64_t)(x13)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x13)*((uintptr_t)4294967295ULL))>>64;
x18 = sizeof(intptr_t) == 4 ? ((uint64_t)(x13)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x13)*((uintptr_t)18446744073709551615ULL))>>64;
x19 = (x18)+((x13)*((uintptr_t)4294967295ULL));
x20 = (x19)<(x18);
x21 = (((x13)+((x13)*((uintptr_t)18446744073709551615ULL)))<(x13))+((x14)+((x12)+((x10)+(x7))));
x22 = (x21)+(x19);
x23 = (((x21)<((x14)+((x12)+((x10)+(x7)))))+((x22)<(x19)))+(x5);
x24 = (x23)+((x20)+(x17));
x25 = (((x23)<(x5))+((x24)<((x20)+(x17))))+(x6);
x26 = (x25)+(x15);
x27 = ((x25)<(x6))+((x26)<(x15));
x28 = (x22)+(x2);
x29 = ((x28)<(x22))+(x24);
x30 = ((x29)<(x24))+(x26);
x31 = (x30)<(x26);
x32 = (x28)*((uintptr_t)18446744069414584321ULL);
x33 = sizeof(intptr_t) == 4 ? ((uint64_t)(x28)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x28)*((uintptr_t)18446744069414584321ULL))>>64;
x34 = sizeof(intptr_t) == 4 ? ((uint64_t)(x28)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x28)*((uintptr_t)4294967295ULL))>>64;
x35 = sizeof(intptr_t) == 4 ? ((uint64_t)(x28)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x28)*((uintptr_t)18446744073709551615ULL))>>64;
x36 = (x35)+((x28)*((uintptr_t)4294967295ULL));
x37 = (x36)<(x35);
x38 = (((x28)+((x28)*((uintptr_t)18446744073709551615ULL)))<(x28))+(x29);
x39 = (x38)+(x36);
x40 = (((x38)<(x29))+((x39)<(x36)))+(x30);
x41 = (x40)+((x37)+(x34));
x42 = (((x40)<(x30))+((x41)<((x37)+(x34))))+((x31)+((x27)+(x16)));
x43 = (x42)+(x32);
x44 = ((x42)<((x31)+((x27)+(x16))))+((x43)<(x32));
x45 = (x39)+(x3);
x46 = ((x45)<(x39))+(x41);
x47 = ((x46)<(x41))+(x43);
x48 = (x47)<(x43);
x49 = (x45)*((uintptr_t)18446744069414584321ULL);
x50 = sizeof(intptr_t) == 4 ? ((uint64_t)(x45)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x45)*((uintptr_t)4294967295ULL))>>64;
x51 = sizeof(intptr_t) == 4 ? ((uint64_t)(x45)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x45)*((uintptr_t)18446744073709551615ULL))>>64;
x52 = (x51)+((x45)*((uintptr_t)4294967295ULL));
x53 = (x52)<(x51);
x54 = (((x45)+((x45)*((uintptr_t)18446744073709551615ULL)))<(x45))+(x46);
x55 = (x54)+(x52);
x56 = (((x54)<(x46))+((x55)<(x52)))+(x47);
x57 = (x56)+((x53)+(x50));
x58 = (((x56)<(x47))+((x57)<((x53)+(x50))))+((x48)+((x44)+(x33)));
x59 = (x58)+(x49);
x60 = (((x58)<((x48)+((x44)+(x33))))+((x59)<(x49)))+(sizeof(intptr_t) == 4 ? ((uint64_t)(x45)*((uintptr_t)18446744069414584321ULL))>>32 : ((__uint128_t)(x45)*((uintptr_t)18446744069414584321ULL))>>64);
x61 = (x55)-((uintptr_t)18446744073709551615ULL);
x62 = (x57)-((uintptr_t)4294967295ULL);
x63 = (x62)-((x55)<(x61));
x64 = (x59)-(((x57)<(x62))+((x62)<(x63)));
x65 = (x60)-((uintptr_t)18446744069414584321ULL);
x66 = (x65)-((x59)<(x64));
x67 = ((uintptr_t)0ULL)<(((uintptr_t)0ULL)-(((x60)<(x65))+((x65)<(x66))));
x68 = ((uintptr_t)-1ULL)+((x67)==((uintptr_t)0ULL));
x69 = (x68)^((uintptr_t)18446744073709551615ULL);
x70 = ((x55)&(x68))|((x61)&(x69));
x71 = ((uintptr_t)-1ULL)+((x67)==((uintptr_t)0ULL));
x72 = (x71)^((uintptr_t)18446744073709551615ULL);
x73 = ((x57)&(x71))|((x63)&(x72));
x74 = ((uintptr_t)-1ULL)+((x67)==((uintptr_t)0ULL));
x75 = (x74)^((uintptr_t)18446744073709551615ULL);
x76 = ((x59)&(x74))|((x64)&(x75));
x77 = ((uintptr_t)-1ULL)+((x67)==((uintptr_t)0ULL));
x78 = (x77)^((uintptr_t)18446744073709551615ULL);
x79 = ((x60)&(x77))|((x66)&(x78));
x80 = x70;
x81 = x73;
x82 = x76;
x83 = x79;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x80, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x81, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x82, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x83, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p256_from_montgomery(uint64_t out1[4], const uint64_t arg1[4]) {
internal_fiat_p256_from_montgomery((uintptr_t)out1, (uintptr_t)arg1);