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p256_64.c
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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 --no-field-element-typedefs 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) */
/* twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in */
/* if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256 */
#include <stdint.h>
#include <string.h>
#include <assert.h>
static __attribute__((constructor)) void _br2_preconditions(void) {
static_assert(~(intptr_t)0 == -(intptr_t)1, "two's complement");
assert(((void)"two's complement", ~(intptr_t)0 == -(intptr_t)1));
uintptr_t u = 1;
assert(((void)"little-endian", 1 == *(unsigned char *)&u));
intptr_t i = 1;
assert(((void)"little-endian", 1 == *(unsigned char *)&i));
}
// We use memcpy to work around -fstrict-aliasing.
// A plain memcpy is enough on clang 10, but not on gcc 10, which fails
// to infer the bounds on an integer loaded by memcpy.
// Adding a range mask after memcpy in turn makes slower code in clang.
// Loading individual bytes, shifting them together, and or-ing is fast
// on clang and sometimes on GCC, but other times GCC inlines individual
// byte operations without reconstructing wider accesses.
// The little-endian idiom below seems fast in gcc 9+ and clang 10.
static inline __attribute__((always_inline, unused))
uintptr_t _br2_load(uintptr_t a, uintptr_t sz) {
switch (sz) {
case 1: { uint8_t r = 0; memcpy(&r, (void*)a, 1); return r; }
case 2: { uint16_t r = 0; memcpy(&r, (void*)a, 2); return r; }
case 4: { uint32_t r = 0; memcpy(&r, (void*)a, 4); return r; }
case 8: { uint64_t r = 0; memcpy(&r, (void*)a, 8); return r; }
default: __builtin_unreachable();
}
}
static inline __attribute__((always_inline, unused))
void _br2_store(uintptr_t a, uintptr_t v, uintptr_t sz) {
memcpy((void*)a, &v, sz);
}
static inline __attribute__((always_inline, unused))
uintptr_t _br2_mulhuu(uintptr_t a, uintptr_t b) {
#if (UINTPTR_MAX == (UINTMAX_C(1)<<31) - 1 + (UINTMAX_C(1)<<31))
return ((uint64_t)a * b) >> 32;
#elif (UINTPTR_MAX == (UINTMAX_C(1)<<63) - 1 + (UINTMAX_C(1)<<63))
return ((unsigned __int128)a * b) >> 64;
#else
#error "32-bit or 64-bit uintptr_t required"
#endif
}
static inline __attribute__((always_inline, unused))
uintptr_t _br2_divu(uintptr_t a, uintptr_t b) {
if (!b) return -1;
return a/b;
}
static inline __attribute__((always_inline, unused))
uintptr_t _br2_remu(uintptr_t a, uintptr_t b) {
if (!b) return a;
return a%b;
}
static inline __attribute__((always_inline, unused))
uintptr_t _br2_shamt(uintptr_t a) {
return a&(sizeof(uintptr_t)*8-1);
}
/*
* 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)(UINTMAX_C(0))), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
x4 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(0))), sizeof(uintptr_t));
x5 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x8 = x1;
x9 = x2;
x10 = x3;
x11 = x0;
x12 = (x11)*(x7);
x13 = _br2_mulhuu((x11), (x7));
x14 = (x11)*(x6);
x15 = _br2_mulhuu((x11), (x6));
x16 = (x11)*(x5);
x17 = _br2_mulhuu((x11), (x5));
x18 = (x11)*(x4);
x19 = _br2_mulhuu((x11), (x4));
x20 = (x19)+(x16);
x21 = (uintptr_t)((x20)<(x19));
x22 = (x21)+(x17);
x23 = (uintptr_t)((x22)<(x17));
x24 = (x22)+(x14);
x25 = (uintptr_t)((x24)<(x14));
x26 = (x23)+(x25);
x27 = (x26)+(x15);
x28 = (uintptr_t)((x27)<(x15));
x29 = (x27)+(x12);
x30 = (uintptr_t)((x29)<(x12));
x31 = (x28)+(x30);
x32 = (x31)+(x13);
x33 = (x18)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x34 = _br2_mulhuu((x18), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x35 = (x18)*((uintptr_t)(UINTMAX_C(4294967295)));
x36 = _br2_mulhuu((x18), ((uintptr_t)(UINTMAX_C(4294967295))));
x37 = (x18)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x38 = _br2_mulhuu((x18), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x39 = (x38)+(x35);
x40 = (uintptr_t)((x39)<(x38));
x41 = (x40)+(x36);
x42 = (x18)+(x37);
x43 = (uintptr_t)((x42)<(x18));
x44 = (x43)+(x20);
x45 = (uintptr_t)((x44)<(x20));
x46 = (x44)+(x39);
x47 = (uintptr_t)((x46)<(x39));
x48 = (x45)+(x47);
x49 = (x48)+(x24);
x50 = (uintptr_t)((x49)<(x24));
x51 = (x49)+(x41);
x52 = (uintptr_t)((x51)<(x41));
x53 = (x50)+(x52);
x54 = (x53)+(x29);
x55 = (uintptr_t)((x54)<(x29));
x56 = (x54)+(x33);
x57 = (uintptr_t)((x56)<(x33));
x58 = (x55)+(x57);
x59 = (x58)+(x32);
x60 = (uintptr_t)((x59)<(x32));
x61 = (x59)+(x34);
x62 = (uintptr_t)((x61)<(x34));
x63 = (x60)+(x62);
x64 = (x8)*(x7);
x65 = _br2_mulhuu((x8), (x7));
x66 = (x8)*(x6);
x67 = _br2_mulhuu((x8), (x6));
x68 = (x8)*(x5);
x69 = _br2_mulhuu((x8), (x5));
x70 = (x8)*(x4);
x71 = _br2_mulhuu((x8), (x4));
x72 = (x71)+(x68);
x73 = (uintptr_t)((x72)<(x71));
x74 = (x73)+(x69);
x75 = (uintptr_t)((x74)<(x69));
x76 = (x74)+(x66);
x77 = (uintptr_t)((x76)<(x66));
x78 = (x75)+(x77);
x79 = (x78)+(x67);
x80 = (uintptr_t)((x79)<(x67));
x81 = (x79)+(x64);
x82 = (uintptr_t)((x81)<(x64));
x83 = (x80)+(x82);
x84 = (x83)+(x65);
x85 = (x46)+(x70);
x86 = (uintptr_t)((x85)<(x46));
x87 = (x86)+(x51);
x88 = (uintptr_t)((x87)<(x51));
x89 = (x87)+(x72);
x90 = (uintptr_t)((x89)<(x72));
x91 = (x88)+(x90);
x92 = (x91)+(x56);
x93 = (uintptr_t)((x92)<(x56));
x94 = (x92)+(x76);
x95 = (uintptr_t)((x94)<(x76));
x96 = (x93)+(x95);
x97 = (x96)+(x61);
x98 = (uintptr_t)((x97)<(x61));
x99 = (x97)+(x81);
x100 = (uintptr_t)((x99)<(x81));
x101 = (x98)+(x100);
x102 = (x101)+(x63);
x103 = (uintptr_t)((x102)<(x63));
x104 = (x102)+(x84);
x105 = (uintptr_t)((x104)<(x84));
x106 = (x103)+(x105);
x107 = (x85)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x108 = _br2_mulhuu((x85), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x109 = (x85)*((uintptr_t)(UINTMAX_C(4294967295)));
x110 = _br2_mulhuu((x85), ((uintptr_t)(UINTMAX_C(4294967295))));
x111 = (x85)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x112 = _br2_mulhuu((x85), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x113 = (x112)+(x109);
x114 = (uintptr_t)((x113)<(x112));
x115 = (x114)+(x110);
x116 = (x85)+(x111);
x117 = (uintptr_t)((x116)<(x85));
x118 = (x117)+(x89);
x119 = (uintptr_t)((x118)<(x89));
x120 = (x118)+(x113);
x121 = (uintptr_t)((x120)<(x113));
x122 = (x119)+(x121);
x123 = (x122)+(x94);
x124 = (uintptr_t)((x123)<(x94));
x125 = (x123)+(x115);
x126 = (uintptr_t)((x125)<(x115));
x127 = (x124)+(x126);
x128 = (x127)+(x99);
x129 = (uintptr_t)((x128)<(x99));
x130 = (x128)+(x107);
x131 = (uintptr_t)((x130)<(x107));
x132 = (x129)+(x131);
x133 = (x132)+(x104);
x134 = (uintptr_t)((x133)<(x104));
x135 = (x133)+(x108);
x136 = (uintptr_t)((x135)<(x108));
x137 = (x134)+(x136);
x138 = (x137)+(x106);
x139 = (x9)*(x7);
x140 = _br2_mulhuu((x9), (x7));
x141 = (x9)*(x6);
x142 = _br2_mulhuu((x9), (x6));
x143 = (x9)*(x5);
x144 = _br2_mulhuu((x9), (x5));
x145 = (x9)*(x4);
x146 = _br2_mulhuu((x9), (x4));
x147 = (x146)+(x143);
x148 = (uintptr_t)((x147)<(x146));
x149 = (x148)+(x144);
x150 = (uintptr_t)((x149)<(x144));
x151 = (x149)+(x141);
x152 = (uintptr_t)((x151)<(x141));
x153 = (x150)+(x152);
x154 = (x153)+(x142);
x155 = (uintptr_t)((x154)<(x142));
x156 = (x154)+(x139);
x157 = (uintptr_t)((x156)<(x139));
x158 = (x155)+(x157);
x159 = (x158)+(x140);
x160 = (x120)+(x145);
x161 = (uintptr_t)((x160)<(x120));
x162 = (x161)+(x125);
x163 = (uintptr_t)((x162)<(x125));
x164 = (x162)+(x147);
x165 = (uintptr_t)((x164)<(x147));
x166 = (x163)+(x165);
x167 = (x166)+(x130);
x168 = (uintptr_t)((x167)<(x130));
x169 = (x167)+(x151);
x170 = (uintptr_t)((x169)<(x151));
x171 = (x168)+(x170);
x172 = (x171)+(x135);
x173 = (uintptr_t)((x172)<(x135));
x174 = (x172)+(x156);
x175 = (uintptr_t)((x174)<(x156));
x176 = (x173)+(x175);
x177 = (x176)+(x138);
x178 = (uintptr_t)((x177)<(x138));
x179 = (x177)+(x159);
x180 = (uintptr_t)((x179)<(x159));
x181 = (x178)+(x180);
x182 = (x160)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x183 = _br2_mulhuu((x160), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x184 = (x160)*((uintptr_t)(UINTMAX_C(4294967295)));
x185 = _br2_mulhuu((x160), ((uintptr_t)(UINTMAX_C(4294967295))));
x186 = (x160)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x187 = _br2_mulhuu((x160), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x188 = (x187)+(x184);
x189 = (uintptr_t)((x188)<(x187));
x190 = (x189)+(x185);
x191 = (x160)+(x186);
x192 = (uintptr_t)((x191)<(x160));
x193 = (x192)+(x164);
x194 = (uintptr_t)((x193)<(x164));
x195 = (x193)+(x188);
x196 = (uintptr_t)((x195)<(x188));
x197 = (x194)+(x196);
x198 = (x197)+(x169);
x199 = (uintptr_t)((x198)<(x169));
x200 = (x198)+(x190);
x201 = (uintptr_t)((x200)<(x190));
x202 = (x199)+(x201);
x203 = (x202)+(x174);
x204 = (uintptr_t)((x203)<(x174));
x205 = (x203)+(x182);
x206 = (uintptr_t)((x205)<(x182));
x207 = (x204)+(x206);
x208 = (x207)+(x179);
x209 = (uintptr_t)((x208)<(x179));
x210 = (x208)+(x183);
x211 = (uintptr_t)((x210)<(x183));
x212 = (x209)+(x211);
x213 = (x212)+(x181);
x214 = (x10)*(x7);
x215 = _br2_mulhuu((x10), (x7));
x216 = (x10)*(x6);
x217 = _br2_mulhuu((x10), (x6));
x218 = (x10)*(x5);
x219 = _br2_mulhuu((x10), (x5));
x220 = (x10)*(x4);
x221 = _br2_mulhuu((x10), (x4));
x222 = (x221)+(x218);
x223 = (uintptr_t)((x222)<(x221));
x224 = (x223)+(x219);
x225 = (uintptr_t)((x224)<(x219));
x226 = (x224)+(x216);
x227 = (uintptr_t)((x226)<(x216));
x228 = (x225)+(x227);
x229 = (x228)+(x217);
x230 = (uintptr_t)((x229)<(x217));
x231 = (x229)+(x214);
x232 = (uintptr_t)((x231)<(x214));
x233 = (x230)+(x232);
x234 = (x233)+(x215);
x235 = (x195)+(x220);
x236 = (uintptr_t)((x235)<(x195));
x237 = (x236)+(x200);
x238 = (uintptr_t)((x237)<(x200));
x239 = (x237)+(x222);
x240 = (uintptr_t)((x239)<(x222));
x241 = (x238)+(x240);
x242 = (x241)+(x205);
x243 = (uintptr_t)((x242)<(x205));
x244 = (x242)+(x226);
x245 = (uintptr_t)((x244)<(x226));
x246 = (x243)+(x245);
x247 = (x246)+(x210);
x248 = (uintptr_t)((x247)<(x210));
x249 = (x247)+(x231);
x250 = (uintptr_t)((x249)<(x231));
x251 = (x248)+(x250);
x252 = (x251)+(x213);
x253 = (uintptr_t)((x252)<(x213));
x254 = (x252)+(x234);
x255 = (uintptr_t)((x254)<(x234));
x256 = (x253)+(x255);
x257 = (x235)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x258 = _br2_mulhuu((x235), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x259 = (x235)*((uintptr_t)(UINTMAX_C(4294967295)));
x260 = _br2_mulhuu((x235), ((uintptr_t)(UINTMAX_C(4294967295))));
x261 = (x235)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x262 = _br2_mulhuu((x235), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x263 = (x262)+(x259);
x264 = (uintptr_t)((x263)<(x262));
x265 = (x264)+(x260);
x266 = (x235)+(x261);
x267 = (uintptr_t)((x266)<(x235));
x268 = (x267)+(x239);
x269 = (uintptr_t)((x268)<(x239));
x270 = (x268)+(x263);
x271 = (uintptr_t)((x270)<(x263));
x272 = (x269)+(x271);
x273 = (x272)+(x244);
x274 = (uintptr_t)((x273)<(x244));
x275 = (x273)+(x265);
x276 = (uintptr_t)((x275)<(x265));
x277 = (x274)+(x276);
x278 = (x277)+(x249);
x279 = (uintptr_t)((x278)<(x249));
x280 = (x278)+(x257);
x281 = (uintptr_t)((x280)<(x257));
x282 = (x279)+(x281);
x283 = (x282)+(x254);
x284 = (uintptr_t)((x283)<(x254));
x285 = (x283)+(x258);
x286 = (uintptr_t)((x285)<(x258));
x287 = (x284)+(x286);
x288 = (x287)+(x256);
x289 = (x270)-((uintptr_t)(UINTMAX_C(18446744073709551615)));
x290 = (uintptr_t)((x270)<(x289));
x291 = (x275)-((uintptr_t)(UINTMAX_C(4294967295)));
x292 = (uintptr_t)((x275)<(x291));
x293 = (x291)-(x290);
x294 = (uintptr_t)((x291)<(x293));
x295 = (x292)+(x294);
x296 = (x280)-(x295);
x297 = (uintptr_t)((x280)<(x296));
x298 = (x285)-((uintptr_t)(UINTMAX_C(18446744069414584321)));
x299 = (uintptr_t)((x285)<(x298));
x300 = (x298)-(x297);
x301 = (uintptr_t)((x298)<(x300));
x302 = (x299)+(x301);
x303 = (x288)-(x302);
x304 = (uintptr_t)((x288)<(x303));
x305 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x304)==((uintptr_t)(UINTMAX_C(0)))));
x306 = (x305)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x307 = ((x270)&(x305))|((x289)&(x306));
x308 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x304)==((uintptr_t)(UINTMAX_C(0)))));
x309 = (x308)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x310 = ((x275)&(x308))|((x293)&(x309));
x311 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x304)==((uintptr_t)(UINTMAX_C(0)))));
x312 = (x311)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x313 = ((x280)&(x311))|((x296)&(x312));
x314 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x304)==((uintptr_t)(UINTMAX_C(0)))));
x315 = (x314)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x316 = ((x285)&(x314))|((x300)&(x315));
x317 = x307;
x318 = x310;
x319 = x313;
x320 = x316;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x317, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x318, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x319, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(UINTMAX_C(0))), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x4 = x1;
x5 = x2;
x6 = x3;
x7 = x0;
x8 = (x7)*(x3);
x9 = _br2_mulhuu((x7), (x3));
x10 = (x7)*(x2);
x11 = _br2_mulhuu((x7), (x2));
x12 = (x7)*(x1);
x13 = _br2_mulhuu((x7), (x1));
x14 = (x7)*(x0);
x15 = _br2_mulhuu((x7), (x0));
x16 = (x15)+(x12);
x17 = (uintptr_t)((x16)<(x15));
x18 = (x17)+(x13);
x19 = (uintptr_t)((x18)<(x13));
x20 = (x18)+(x10);
x21 = (uintptr_t)((x20)<(x10));
x22 = (x19)+(x21);
x23 = (x22)+(x11);
x24 = (uintptr_t)((x23)<(x11));
x25 = (x23)+(x8);
x26 = (uintptr_t)((x25)<(x8));
x27 = (x24)+(x26);
x28 = (x27)+(x9);
x29 = (x14)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x30 = _br2_mulhuu((x14), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x31 = (x14)*((uintptr_t)(UINTMAX_C(4294967295)));
x32 = _br2_mulhuu((x14), ((uintptr_t)(UINTMAX_C(4294967295))));
x33 = (x14)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x34 = _br2_mulhuu((x14), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x35 = (x34)+(x31);
x36 = (uintptr_t)((x35)<(x34));
x37 = (x36)+(x32);
x38 = (x14)+(x33);
x39 = (uintptr_t)((x38)<(x14));
x40 = (x39)+(x16);
x41 = (uintptr_t)((x40)<(x16));
x42 = (x40)+(x35);
x43 = (uintptr_t)((x42)<(x35));
x44 = (x41)+(x43);
x45 = (x44)+(x20);
x46 = (uintptr_t)((x45)<(x20));
x47 = (x45)+(x37);
x48 = (uintptr_t)((x47)<(x37));
x49 = (x46)+(x48);
x50 = (x49)+(x25);
x51 = (uintptr_t)((x50)<(x25));
x52 = (x50)+(x29);
x53 = (uintptr_t)((x52)<(x29));
x54 = (x51)+(x53);
x55 = (x54)+(x28);
x56 = (uintptr_t)((x55)<(x28));
x57 = (x55)+(x30);
x58 = (uintptr_t)((x57)<(x30));
x59 = (x56)+(x58);
x60 = (x4)*(x3);
x61 = _br2_mulhuu((x4), (x3));
x62 = (x4)*(x2);
x63 = _br2_mulhuu((x4), (x2));
x64 = (x4)*(x1);
x65 = _br2_mulhuu((x4), (x1));
x66 = (x4)*(x0);
x67 = _br2_mulhuu((x4), (x0));
x68 = (x67)+(x64);
x69 = (uintptr_t)((x68)<(x67));
x70 = (x69)+(x65);
x71 = (uintptr_t)((x70)<(x65));
x72 = (x70)+(x62);
x73 = (uintptr_t)((x72)<(x62));
x74 = (x71)+(x73);
x75 = (x74)+(x63);
x76 = (uintptr_t)((x75)<(x63));
x77 = (x75)+(x60);
x78 = (uintptr_t)((x77)<(x60));
x79 = (x76)+(x78);
x80 = (x79)+(x61);
x81 = (x42)+(x66);
x82 = (uintptr_t)((x81)<(x42));
x83 = (x82)+(x47);
x84 = (uintptr_t)((x83)<(x47));
x85 = (x83)+(x68);
x86 = (uintptr_t)((x85)<(x68));
x87 = (x84)+(x86);
x88 = (x87)+(x52);
x89 = (uintptr_t)((x88)<(x52));
x90 = (x88)+(x72);
x91 = (uintptr_t)((x90)<(x72));
x92 = (x89)+(x91);
x93 = (x92)+(x57);
x94 = (uintptr_t)((x93)<(x57));
x95 = (x93)+(x77);
x96 = (uintptr_t)((x95)<(x77));
x97 = (x94)+(x96);
x98 = (x97)+(x59);
x99 = (uintptr_t)((x98)<(x59));
x100 = (x98)+(x80);
x101 = (uintptr_t)((x100)<(x80));
x102 = (x99)+(x101);
x103 = (x81)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x104 = _br2_mulhuu((x81), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x105 = (x81)*((uintptr_t)(UINTMAX_C(4294967295)));
x106 = _br2_mulhuu((x81), ((uintptr_t)(UINTMAX_C(4294967295))));
x107 = (x81)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x108 = _br2_mulhuu((x81), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x109 = (x108)+(x105);
x110 = (uintptr_t)((x109)<(x108));
x111 = (x110)+(x106);
x112 = (x81)+(x107);
x113 = (uintptr_t)((x112)<(x81));
x114 = (x113)+(x85);
x115 = (uintptr_t)((x114)<(x85));
x116 = (x114)+(x109);
x117 = (uintptr_t)((x116)<(x109));
x118 = (x115)+(x117);
x119 = (x118)+(x90);
x120 = (uintptr_t)((x119)<(x90));
x121 = (x119)+(x111);
x122 = (uintptr_t)((x121)<(x111));
x123 = (x120)+(x122);
x124 = (x123)+(x95);
x125 = (uintptr_t)((x124)<(x95));
x126 = (x124)+(x103);
x127 = (uintptr_t)((x126)<(x103));
x128 = (x125)+(x127);
x129 = (x128)+(x100);
x130 = (uintptr_t)((x129)<(x100));
x131 = (x129)+(x104);
x132 = (uintptr_t)((x131)<(x104));
x133 = (x130)+(x132);
x134 = (x133)+(x102);
x135 = (x5)*(x3);
x136 = _br2_mulhuu((x5), (x3));
x137 = (x5)*(x2);
x138 = _br2_mulhuu((x5), (x2));
x139 = (x5)*(x1);
x140 = _br2_mulhuu((x5), (x1));
x141 = (x5)*(x0);
x142 = _br2_mulhuu((x5), (x0));
x143 = (x142)+(x139);
x144 = (uintptr_t)((x143)<(x142));
x145 = (x144)+(x140);
x146 = (uintptr_t)((x145)<(x140));
x147 = (x145)+(x137);
x148 = (uintptr_t)((x147)<(x137));
x149 = (x146)+(x148);
x150 = (x149)+(x138);
x151 = (uintptr_t)((x150)<(x138));
x152 = (x150)+(x135);
x153 = (uintptr_t)((x152)<(x135));
x154 = (x151)+(x153);
x155 = (x154)+(x136);
x156 = (x116)+(x141);
x157 = (uintptr_t)((x156)<(x116));
x158 = (x157)+(x121);
x159 = (uintptr_t)((x158)<(x121));
x160 = (x158)+(x143);
x161 = (uintptr_t)((x160)<(x143));
x162 = (x159)+(x161);
x163 = (x162)+(x126);
x164 = (uintptr_t)((x163)<(x126));
x165 = (x163)+(x147);
x166 = (uintptr_t)((x165)<(x147));
x167 = (x164)+(x166);
x168 = (x167)+(x131);
x169 = (uintptr_t)((x168)<(x131));
x170 = (x168)+(x152);
x171 = (uintptr_t)((x170)<(x152));
x172 = (x169)+(x171);
x173 = (x172)+(x134);
x174 = (uintptr_t)((x173)<(x134));
x175 = (x173)+(x155);
x176 = (uintptr_t)((x175)<(x155));
x177 = (x174)+(x176);
x178 = (x156)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x179 = _br2_mulhuu((x156), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x180 = (x156)*((uintptr_t)(UINTMAX_C(4294967295)));
x181 = _br2_mulhuu((x156), ((uintptr_t)(UINTMAX_C(4294967295))));
x182 = (x156)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x183 = _br2_mulhuu((x156), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x184 = (x183)+(x180);
x185 = (uintptr_t)((x184)<(x183));
x186 = (x185)+(x181);
x187 = (x156)+(x182);
x188 = (uintptr_t)((x187)<(x156));
x189 = (x188)+(x160);
x190 = (uintptr_t)((x189)<(x160));
x191 = (x189)+(x184);
x192 = (uintptr_t)((x191)<(x184));
x193 = (x190)+(x192);
x194 = (x193)+(x165);
x195 = (uintptr_t)((x194)<(x165));
x196 = (x194)+(x186);
x197 = (uintptr_t)((x196)<(x186));
x198 = (x195)+(x197);
x199 = (x198)+(x170);
x200 = (uintptr_t)((x199)<(x170));
x201 = (x199)+(x178);
x202 = (uintptr_t)((x201)<(x178));
x203 = (x200)+(x202);
x204 = (x203)+(x175);
x205 = (uintptr_t)((x204)<(x175));
x206 = (x204)+(x179);
x207 = (uintptr_t)((x206)<(x179));
x208 = (x205)+(x207);
x209 = (x208)+(x177);
x210 = (x6)*(x3);
x211 = _br2_mulhuu((x6), (x3));
x212 = (x6)*(x2);
x213 = _br2_mulhuu((x6), (x2));
x214 = (x6)*(x1);
x215 = _br2_mulhuu((x6), (x1));
x216 = (x6)*(x0);
x217 = _br2_mulhuu((x6), (x0));
x218 = (x217)+(x214);
x219 = (uintptr_t)((x218)<(x217));
x220 = (x219)+(x215);
x221 = (uintptr_t)((x220)<(x215));
x222 = (x220)+(x212);
x223 = (uintptr_t)((x222)<(x212));
x224 = (x221)+(x223);
x225 = (x224)+(x213);
x226 = (uintptr_t)((x225)<(x213));
x227 = (x225)+(x210);
x228 = (uintptr_t)((x227)<(x210));
x229 = (x226)+(x228);
x230 = (x229)+(x211);
x231 = (x191)+(x216);
x232 = (uintptr_t)((x231)<(x191));
x233 = (x232)+(x196);
x234 = (uintptr_t)((x233)<(x196));
x235 = (x233)+(x218);
x236 = (uintptr_t)((x235)<(x218));
x237 = (x234)+(x236);
x238 = (x237)+(x201);
x239 = (uintptr_t)((x238)<(x201));
x240 = (x238)+(x222);
x241 = (uintptr_t)((x240)<(x222));
x242 = (x239)+(x241);
x243 = (x242)+(x206);
x244 = (uintptr_t)((x243)<(x206));
x245 = (x243)+(x227);
x246 = (uintptr_t)((x245)<(x227));
x247 = (x244)+(x246);
x248 = (x247)+(x209);
x249 = (uintptr_t)((x248)<(x209));
x250 = (x248)+(x230);
x251 = (uintptr_t)((x250)<(x230));
x252 = (x249)+(x251);
x253 = (x231)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x254 = _br2_mulhuu((x231), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x255 = (x231)*((uintptr_t)(UINTMAX_C(4294967295)));
x256 = _br2_mulhuu((x231), ((uintptr_t)(UINTMAX_C(4294967295))));
x257 = (x231)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x258 = _br2_mulhuu((x231), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x259 = (x258)+(x255);
x260 = (uintptr_t)((x259)<(x258));
x261 = (x260)+(x256);
x262 = (x231)+(x257);
x263 = (uintptr_t)((x262)<(x231));
x264 = (x263)+(x235);
x265 = (uintptr_t)((x264)<(x235));
x266 = (x264)+(x259);
x267 = (uintptr_t)((x266)<(x259));
x268 = (x265)+(x267);
x269 = (x268)+(x240);
x270 = (uintptr_t)((x269)<(x240));
x271 = (x269)+(x261);
x272 = (uintptr_t)((x271)<(x261));
x273 = (x270)+(x272);
x274 = (x273)+(x245);
x275 = (uintptr_t)((x274)<(x245));
x276 = (x274)+(x253);
x277 = (uintptr_t)((x276)<(x253));
x278 = (x275)+(x277);
x279 = (x278)+(x250);
x280 = (uintptr_t)((x279)<(x250));
x281 = (x279)+(x254);
x282 = (uintptr_t)((x281)<(x254));
x283 = (x280)+(x282);
x284 = (x283)+(x252);
x285 = (x266)-((uintptr_t)(UINTMAX_C(18446744073709551615)));
x286 = (uintptr_t)((x266)<(x285));
x287 = (x271)-((uintptr_t)(UINTMAX_C(4294967295)));
x288 = (uintptr_t)((x271)<(x287));
x289 = (x287)-(x286);
x290 = (uintptr_t)((x287)<(x289));
x291 = (x288)+(x290);
x292 = (x276)-(x291);
x293 = (uintptr_t)((x276)<(x292));
x294 = (x281)-((uintptr_t)(UINTMAX_C(18446744069414584321)));
x295 = (uintptr_t)((x281)<(x294));
x296 = (x294)-(x293);
x297 = (uintptr_t)((x294)<(x296));
x298 = (x295)+(x297);
x299 = (x284)-(x298);
x300 = (uintptr_t)((x284)<(x299));
x301 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x300)==((uintptr_t)(UINTMAX_C(0)))));
x302 = (x301)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x303 = ((x266)&(x301))|((x285)&(x302));
x304 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x300)==((uintptr_t)(UINTMAX_C(0)))));
x305 = (x304)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x306 = ((x271)&(x304))|((x289)&(x305));
x307 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x300)==((uintptr_t)(UINTMAX_C(0)))));
x308 = (x307)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x309 = ((x276)&(x307))|((x292)&(x308));
x310 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x300)==((uintptr_t)(UINTMAX_C(0)))));
x311 = (x310)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x312 = ((x281)&(x310))|((x296)&(x311));
x313 = x303;
x314 = x306;
x315 = x309;
x316 = x312;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x313, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x314, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x315, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(UINTMAX_C(0))), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
x4 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(0))), sizeof(uintptr_t));
x5 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x8 = (x0)+(x4);
x9 = ((uintptr_t)((x8)<(x0)))+(x1);
x10 = (x9)+(x5);
x11 = (((uintptr_t)((x9)<(x1)))+((uintptr_t)((x10)<(x5))))+(x2);
x12 = (x11)+(x6);
x13 = (((uintptr_t)((x11)<(x2)))+((uintptr_t)((x12)<(x6))))+(x3);
x14 = (x13)+(x7);
x15 = ((uintptr_t)((x13)<(x3)))+((uintptr_t)((x14)<(x7)));
x16 = (x8)-((uintptr_t)(UINTMAX_C(18446744073709551615)));
x17 = (x10)-((uintptr_t)(UINTMAX_C(4294967295)));
x18 = (x17)-((uintptr_t)((x8)<(x16)));
x19 = (x12)-(((uintptr_t)((x10)<(x17)))+((uintptr_t)((x17)<(x18))));
x20 = (x14)-((uintptr_t)(UINTMAX_C(18446744069414584321)));
x21 = (x20)-((uintptr_t)((x12)<(x19)));
x22 = (uintptr_t)((x15)<((x15)-(((uintptr_t)((x14)<(x20)))+((uintptr_t)((x20)<(x21))))));
x23 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x22)==((uintptr_t)(UINTMAX_C(0)))));
x24 = (x23)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x25 = ((x8)&(x23))|((x16)&(x24));
x26 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x22)==((uintptr_t)(UINTMAX_C(0)))));
x27 = (x26)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x28 = ((x10)&(x26))|((x18)&(x27));
x29 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x22)==((uintptr_t)(UINTMAX_C(0)))));
x30 = (x29)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x31 = ((x12)&(x29))|((x19)&(x30));
x32 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x22)==((uintptr_t)(UINTMAX_C(0)))));
x33 = (x32)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x34 = ((x14)&(x32))|((x21)&(x33));
x35 = x25;
x36 = x28;
x37 = x31;
x38 = x34;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x35, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x36, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x37, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(UINTMAX_C(0))), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
x4 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(0))), sizeof(uintptr_t));
x5 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x8 = (x0)-(x4);
x9 = (x1)-(x5);
x10 = (x9)-((uintptr_t)((x0)<(x8)));
x11 = (x2)-(x6);
x12 = (x11)-(((uintptr_t)((x1)<(x9)))+((uintptr_t)((x9)<(x10))));
x13 = (x3)-(x7);
x14 = (x13)-(((uintptr_t)((x2)<(x11)))+((uintptr_t)((x11)<(x12))));
x15 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((((uintptr_t)((x3)<(x13)))+((uintptr_t)((x13)<(x14))))==((uintptr_t)(UINTMAX_C(0)))));
x16 = (x8)+(x15);
x17 = ((uintptr_t)((x16)<(x8)))+(x10);
x18 = (x17)+((x15)&((uintptr_t)(UINTMAX_C(4294967295))));
x19 = (((uintptr_t)((x17)<(x10)))+((uintptr_t)((x18)<((x15)&((uintptr_t)(UINTMAX_C(4294967295)))))))+(x12);
x20 = (((uintptr_t)((x19)<(x12)))+(x14))+((x15)&((uintptr_t)(UINTMAX_C(18446744069414584321))));
x21 = x16;
x22 = x18;
x23 = x19;
x24 = x20;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x21, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x22, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x23, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(UINTMAX_C(0))), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x4 = ((uintptr_t)(UINTMAX_C(0)))-(x0);
x5 = ((uintptr_t)(UINTMAX_C(0)))-(x1);
x6 = (x5)-((uintptr_t)(((uintptr_t)(UINTMAX_C(0)))<(x4)));
x7 = ((uintptr_t)(UINTMAX_C(0)))-(x2);
x8 = (x7)-(((uintptr_t)(((uintptr_t)(UINTMAX_C(0)))<(x5)))+((uintptr_t)((x5)<(x6))));
x9 = ((uintptr_t)(UINTMAX_C(0)))-(x3);
x10 = (x9)-(((uintptr_t)(((uintptr_t)(UINTMAX_C(0)))<(x7)))+((uintptr_t)((x7)<(x8))));
x11 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((((uintptr_t)(((uintptr_t)(UINTMAX_C(0)))<(x9)))+((uintptr_t)((x9)<(x10))))==((uintptr_t)(UINTMAX_C(0)))));
x12 = (x4)+(x11);
x13 = ((uintptr_t)((x12)<(x4)))+(x6);
x14 = (x13)+((x11)&((uintptr_t)(UINTMAX_C(4294967295))));
x15 = (((uintptr_t)((x13)<(x6)))+((uintptr_t)((x14)<((x11)&((uintptr_t)(UINTMAX_C(4294967295)))))))+(x8);
x16 = (((uintptr_t)((x15)<(x8)))+(x10))+((x11)&((uintptr_t)(UINTMAX_C(18446744069414584321))));
x17 = x12;
x18 = x14;
x19 = x15;
x20 = x16;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x17, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x18, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x19, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(UINTMAX_C(0))), sizeof(uintptr_t));
x1 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x2 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x3 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x4 = x0;
x5 = (x4)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x6 = _br2_mulhuu((x4), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x7 = _br2_mulhuu((x4), ((uintptr_t)(UINTMAX_C(4294967295))));
x8 = _br2_mulhuu((x4), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x9 = (x8)+((x4)*((uintptr_t)(UINTMAX_C(4294967295))));
x10 = (uintptr_t)((x9)<(x8));
x11 = ((uintptr_t)(((x4)+((x4)*((uintptr_t)(UINTMAX_C(18446744073709551615)))))<(x4)))+(x9);
x12 = (uintptr_t)((x11)<(x9));
x13 = (x11)+(x1);
x14 = (uintptr_t)((x13)<(x11));
x15 = (x13)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x16 = _br2_mulhuu((x13), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x17 = _br2_mulhuu((x13), ((uintptr_t)(UINTMAX_C(4294967295))));
x18 = _br2_mulhuu((x13), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x19 = (x18)+((x13)*((uintptr_t)(UINTMAX_C(4294967295))));
x20 = (uintptr_t)((x19)<(x18));
x21 = ((uintptr_t)(((x13)+((x13)*((uintptr_t)(UINTMAX_C(18446744073709551615)))))<(x13)))+((x14)+((x12)+((x10)+(x7))));
x22 = (x21)+(x19);
x23 = (((uintptr_t)((x21)<((x14)+((x12)+((x10)+(x7))))))+((uintptr_t)((x22)<(x19))))+(x5);
x24 = (x23)+((x20)+(x17));
x25 = (((uintptr_t)((x23)<(x5)))+((uintptr_t)((x24)<((x20)+(x17)))))+(x6);
x26 = (x25)+(x15);
x27 = ((uintptr_t)((x25)<(x6)))+((uintptr_t)((x26)<(x15)));
x28 = (x22)+(x2);
x29 = ((uintptr_t)((x28)<(x22)))+(x24);
x30 = ((uintptr_t)((x29)<(x24)))+(x26);
x31 = (uintptr_t)((x30)<(x26));
x32 = (x28)*((uintptr_t)(UINTMAX_C(18446744069414584321)));
x33 = _br2_mulhuu((x28), ((uintptr_t)(UINTMAX_C(18446744069414584321))));
x34 = _br2_mulhuu((x28), ((uintptr_t)(UINTMAX_C(4294967295))));
x35 = _br2_mulhuu((x28), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x36 = (x35)+((x28)*((uintptr_t)(UINTMAX_C(4294967295))));
x37 = (uintptr_t)((x36)<(x35));
x38 = ((uintptr_t)(((x28)+((x28)*((uintptr_t)(UINTMAX_C(18446744073709551615)))))<(x28)))+(x29);
x39 = (x38)+(x36);
x40 = (((uintptr_t)((x38)<(x29)))+((uintptr_t)((x39)<(x36))))+(x30);
x41 = (x40)+((x37)+(x34));
x42 = (((uintptr_t)((x40)<(x30)))+((uintptr_t)((x41)<((x37)+(x34)))))+((x31)+((x27)+(x16)));
x43 = (x42)+(x32);
x44 = ((uintptr_t)((x42)<((x31)+((x27)+(x16)))))+((uintptr_t)((x43)<(x32)));