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p224_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 p224 64 '2^224 - 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: p224 */
/* 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 = 0xffffffffffffffffffffffffffffffff000000000000000000000001 (from "2^224 - 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) */
#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_p224_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, x36, x39, x41, x37, x42, x34, x43, x45, x46, x35, x33, x48, x18, x49, x20, x50, x38, x51, x53, x54, x24, x55, x40, x56, x58, x59, x29, x60, x44, x61, x63, x64, x32, x65, x47, x66, x68, x8, x74, x77, x79, x75, x80, x72, x81, x83, x84, x73, x85, x70, x86, x88, x89, x71, x76, x52, x92, x57, x93, x78, x94, x96, x97, x62, x98, x82, x99, x101, x102, x67, x103, x87, x104, x106, x107, x69, x108, x90, x109, x111, x116, x119, x121, x117, x122, x114, x123, x125, x126, x115, x113, x128, x91, x129, x95, x130, x118, x131, x133, x134, x100, x135, x120, x136, x138, x139, x105, x140, x124, x141, x143, x144, x110, x145, x127, x146, x148, x149, x112, x9, x155, x158, x160, x156, x161, x153, x162, x164, x165, x154, x166, x151, x167, x169, x170, x152, x157, x132, x173, x137, x174, x159, x175, x177, x178, x142, x179, x163, x180, x182, x183, x147, x184, x168, x185, x187, x188, x150, x189, x171, x190, x192, x197, x200, x202, x198, x203, x195, x204, x206, x207, x196, x194, x209, x172, x210, x176, x211, x199, x212, x214, x215, x181, x216, x201, x217, x219, x220, x186, x221, x205, x222, x224, x225, x191, x226, x208, x227, x229, x230, x193, x7, x6, x5, x10, x4, x236, x239, x241, x237, x242, x234, x243, x245, x246, x235, x247, x232, x248, x250, x251, x233, x238, x213, x254, x218, x255, x240, x256, x258, x259, x223, x260, x244, x261, x263, x264, x228, x265, x249, x266, x268, x269, x231, x270, x252, x271, x273, x278, x281, x283, x279, x284, x276, x285, x287, x288, x277, x275, x290, x253, x291, x257, x292, x280, x293, x295, x296, x262, x297, x282, x298, x300, x301, x267, x302, x286, x303, x305, x306, x272, x307, x289, x308, x310, x311, x274, x314, x315, x316, x318, x319, x320, x321, x323, x324, x325, x326, x328, x329, x312, x330, x294, x332, x313, x333, x299, x335, x317, x336, x304, x338, x322, x339, x331, x309, x341, x327, x342, x334, x337, x340, x343, x344, x345, x346, x347;
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)18446744073709551615ULL);
x34 = (x33)*((uintptr_t)4294967295ULL);
x35 = sizeof(intptr_t) == 4 ? ((uint64_t)(x33)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x33)*((uintptr_t)4294967295ULL))>>64;
x36 = (x33)*((uintptr_t)18446744073709551615ULL);
x37 = sizeof(intptr_t) == 4 ? ((uint64_t)(x33)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x33)*((uintptr_t)18446744073709551615ULL))>>64;
x38 = (x33)*((uintptr_t)18446744069414584320ULL);
x39 = sizeof(intptr_t) == 4 ? ((uint64_t)(x33)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x33)*((uintptr_t)18446744069414584320ULL))>>64;
x40 = (x39)+(x36);
x41 = (x40)<(x39);
x42 = (x41)+(x37);
x43 = (x42)<(x37);
x44 = (x42)+(x34);
x45 = (x44)<(x34);
x46 = (x43)+(x45);
x47 = (x46)+(x35);
x48 = (x18)+(x33);
x49 = (x48)<(x18);
x50 = (x49)+(x20);
x51 = (x50)<(x20);
x52 = (x50)+(x38);
x53 = (x52)<(x38);
x54 = (x51)+(x53);
x55 = (x54)+(x24);
x56 = (x55)<(x24);
x57 = (x55)+(x40);
x58 = (x57)<(x40);
x59 = (x56)+(x58);
x60 = (x59)+(x29);
x61 = (x60)<(x29);
x62 = (x60)+(x44);
x63 = (x62)<(x44);
x64 = (x61)+(x63);
x65 = (x64)+(x32);
x66 = (x65)<(x32);
x67 = (x65)+(x47);
x68 = (x67)<(x47);
x69 = (x66)+(x68);
x70 = (x8)*(x7);
x71 = sizeof(intptr_t) == 4 ? ((uint64_t)(x8)*(x7))>>32 : ((__uint128_t)(x8)*(x7))>>64;
x72 = (x8)*(x6);
x73 = sizeof(intptr_t) == 4 ? ((uint64_t)(x8)*(x6))>>32 : ((__uint128_t)(x8)*(x6))>>64;
x74 = (x8)*(x5);
x75 = sizeof(intptr_t) == 4 ? ((uint64_t)(x8)*(x5))>>32 : ((__uint128_t)(x8)*(x5))>>64;
x76 = (x8)*(x4);
x77 = sizeof(intptr_t) == 4 ? ((uint64_t)(x8)*(x4))>>32 : ((__uint128_t)(x8)*(x4))>>64;
x78 = (x77)+(x74);
x79 = (x78)<(x77);
x80 = (x79)+(x75);
x81 = (x80)<(x75);
x82 = (x80)+(x72);
x83 = (x82)<(x72);
x84 = (x81)+(x83);
x85 = (x84)+(x73);
x86 = (x85)<(x73);
x87 = (x85)+(x70);
x88 = (x87)<(x70);
x89 = (x86)+(x88);
x90 = (x89)+(x71);
x91 = (x52)+(x76);
x92 = (x91)<(x52);
x93 = (x92)+(x57);
x94 = (x93)<(x57);
x95 = (x93)+(x78);
x96 = (x95)<(x78);
x97 = (x94)+(x96);
x98 = (x97)+(x62);
x99 = (x98)<(x62);
x100 = (x98)+(x82);
x101 = (x100)<(x82);
x102 = (x99)+(x101);
x103 = (x102)+(x67);
x104 = (x103)<(x67);
x105 = (x103)+(x87);
x106 = (x105)<(x87);
x107 = (x104)+(x106);
x108 = (x107)+(x69);
x109 = (x108)<(x69);
x110 = (x108)+(x90);
x111 = (x110)<(x90);
x112 = (x109)+(x111);
x113 = (x91)*((uintptr_t)18446744073709551615ULL);
x114 = (x113)*((uintptr_t)4294967295ULL);
x115 = sizeof(intptr_t) == 4 ? ((uint64_t)(x113)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x113)*((uintptr_t)4294967295ULL))>>64;
x116 = (x113)*((uintptr_t)18446744073709551615ULL);
x117 = sizeof(intptr_t) == 4 ? ((uint64_t)(x113)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x113)*((uintptr_t)18446744073709551615ULL))>>64;
x118 = (x113)*((uintptr_t)18446744069414584320ULL);
x119 = sizeof(intptr_t) == 4 ? ((uint64_t)(x113)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x113)*((uintptr_t)18446744069414584320ULL))>>64;
x120 = (x119)+(x116);
x121 = (x120)<(x119);
x122 = (x121)+(x117);
x123 = (x122)<(x117);
x124 = (x122)+(x114);
x125 = (x124)<(x114);
x126 = (x123)+(x125);
x127 = (x126)+(x115);
x128 = (x91)+(x113);
x129 = (x128)<(x91);
x130 = (x129)+(x95);
x131 = (x130)<(x95);
x132 = (x130)+(x118);
x133 = (x132)<(x118);
x134 = (x131)+(x133);
x135 = (x134)+(x100);
x136 = (x135)<(x100);
x137 = (x135)+(x120);
x138 = (x137)<(x120);
x139 = (x136)+(x138);
x140 = (x139)+(x105);
x141 = (x140)<(x105);
x142 = (x140)+(x124);
x143 = (x142)<(x124);
x144 = (x141)+(x143);
x145 = (x144)+(x110);
x146 = (x145)<(x110);
x147 = (x145)+(x127);
x148 = (x147)<(x127);
x149 = (x146)+(x148);
x150 = (x149)+(x112);
x151 = (x9)*(x7);
x152 = sizeof(intptr_t) == 4 ? ((uint64_t)(x9)*(x7))>>32 : ((__uint128_t)(x9)*(x7))>>64;
x153 = (x9)*(x6);
x154 = sizeof(intptr_t) == 4 ? ((uint64_t)(x9)*(x6))>>32 : ((__uint128_t)(x9)*(x6))>>64;
x155 = (x9)*(x5);
x156 = sizeof(intptr_t) == 4 ? ((uint64_t)(x9)*(x5))>>32 : ((__uint128_t)(x9)*(x5))>>64;
x157 = (x9)*(x4);
x158 = sizeof(intptr_t) == 4 ? ((uint64_t)(x9)*(x4))>>32 : ((__uint128_t)(x9)*(x4))>>64;
x159 = (x158)+(x155);
x160 = (x159)<(x158);
x161 = (x160)+(x156);
x162 = (x161)<(x156);
x163 = (x161)+(x153);
x164 = (x163)<(x153);
x165 = (x162)+(x164);
x166 = (x165)+(x154);
x167 = (x166)<(x154);
x168 = (x166)+(x151);
x169 = (x168)<(x151);
x170 = (x167)+(x169);
x171 = (x170)+(x152);
x172 = (x132)+(x157);
x173 = (x172)<(x132);
x174 = (x173)+(x137);
x175 = (x174)<(x137);
x176 = (x174)+(x159);
x177 = (x176)<(x159);
x178 = (x175)+(x177);
x179 = (x178)+(x142);
x180 = (x179)<(x142);
x181 = (x179)+(x163);
x182 = (x181)<(x163);
x183 = (x180)+(x182);
x184 = (x183)+(x147);
x185 = (x184)<(x147);
x186 = (x184)+(x168);
x187 = (x186)<(x168);
x188 = (x185)+(x187);
x189 = (x188)+(x150);
x190 = (x189)<(x150);
x191 = (x189)+(x171);
x192 = (x191)<(x171);
x193 = (x190)+(x192);
x194 = (x172)*((uintptr_t)18446744073709551615ULL);
x195 = (x194)*((uintptr_t)4294967295ULL);
x196 = sizeof(intptr_t) == 4 ? ((uint64_t)(x194)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x194)*((uintptr_t)4294967295ULL))>>64;
x197 = (x194)*((uintptr_t)18446744073709551615ULL);
x198 = sizeof(intptr_t) == 4 ? ((uint64_t)(x194)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x194)*((uintptr_t)18446744073709551615ULL))>>64;
x199 = (x194)*((uintptr_t)18446744069414584320ULL);
x200 = sizeof(intptr_t) == 4 ? ((uint64_t)(x194)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x194)*((uintptr_t)18446744069414584320ULL))>>64;
x201 = (x200)+(x197);
x202 = (x201)<(x200);
x203 = (x202)+(x198);
x204 = (x203)<(x198);
x205 = (x203)+(x195);
x206 = (x205)<(x195);
x207 = (x204)+(x206);
x208 = (x207)+(x196);
x209 = (x172)+(x194);
x210 = (x209)<(x172);
x211 = (x210)+(x176);
x212 = (x211)<(x176);
x213 = (x211)+(x199);
x214 = (x213)<(x199);
x215 = (x212)+(x214);
x216 = (x215)+(x181);
x217 = (x216)<(x181);
x218 = (x216)+(x201);
x219 = (x218)<(x201);
x220 = (x217)+(x219);
x221 = (x220)+(x186);
x222 = (x221)<(x186);
x223 = (x221)+(x205);
x224 = (x223)<(x205);
x225 = (x222)+(x224);
x226 = (x225)+(x191);
x227 = (x226)<(x191);
x228 = (x226)+(x208);
x229 = (x228)<(x208);
x230 = (x227)+(x229);
x231 = (x230)+(x193);
x232 = (x10)*(x7);
x233 = sizeof(intptr_t) == 4 ? ((uint64_t)(x10)*(x7))>>32 : ((__uint128_t)(x10)*(x7))>>64;
x234 = (x10)*(x6);
x235 = sizeof(intptr_t) == 4 ? ((uint64_t)(x10)*(x6))>>32 : ((__uint128_t)(x10)*(x6))>>64;
x236 = (x10)*(x5);
x237 = sizeof(intptr_t) == 4 ? ((uint64_t)(x10)*(x5))>>32 : ((__uint128_t)(x10)*(x5))>>64;
x238 = (x10)*(x4);
x239 = sizeof(intptr_t) == 4 ? ((uint64_t)(x10)*(x4))>>32 : ((__uint128_t)(x10)*(x4))>>64;
x240 = (x239)+(x236);
x241 = (x240)<(x239);
x242 = (x241)+(x237);
x243 = (x242)<(x237);
x244 = (x242)+(x234);
x245 = (x244)<(x234);
x246 = (x243)+(x245);
x247 = (x246)+(x235);
x248 = (x247)<(x235);
x249 = (x247)+(x232);
x250 = (x249)<(x232);
x251 = (x248)+(x250);
x252 = (x251)+(x233);
x253 = (x213)+(x238);
x254 = (x253)<(x213);
x255 = (x254)+(x218);
x256 = (x255)<(x218);
x257 = (x255)+(x240);
x258 = (x257)<(x240);
x259 = (x256)+(x258);
x260 = (x259)+(x223);
x261 = (x260)<(x223);
x262 = (x260)+(x244);
x263 = (x262)<(x244);
x264 = (x261)+(x263);
x265 = (x264)+(x228);
x266 = (x265)<(x228);
x267 = (x265)+(x249);
x268 = (x267)<(x249);
x269 = (x266)+(x268);
x270 = (x269)+(x231);
x271 = (x270)<(x231);
x272 = (x270)+(x252);
x273 = (x272)<(x252);
x274 = (x271)+(x273);
x275 = (x253)*((uintptr_t)18446744073709551615ULL);
x276 = (x275)*((uintptr_t)4294967295ULL);
x277 = sizeof(intptr_t) == 4 ? ((uint64_t)(x275)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x275)*((uintptr_t)4294967295ULL))>>64;
x278 = (x275)*((uintptr_t)18446744073709551615ULL);
x279 = sizeof(intptr_t) == 4 ? ((uint64_t)(x275)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x275)*((uintptr_t)18446744073709551615ULL))>>64;
x280 = (x275)*((uintptr_t)18446744069414584320ULL);
x281 = sizeof(intptr_t) == 4 ? ((uint64_t)(x275)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x275)*((uintptr_t)18446744069414584320ULL))>>64;
x282 = (x281)+(x278);
x283 = (x282)<(x281);
x284 = (x283)+(x279);
x285 = (x284)<(x279);
x286 = (x284)+(x276);
x287 = (x286)<(x276);
x288 = (x285)+(x287);
x289 = (x288)+(x277);
x290 = (x253)+(x275);
x291 = (x290)<(x253);
x292 = (x291)+(x257);
x293 = (x292)<(x257);
x294 = (x292)+(x280);
x295 = (x294)<(x280);
x296 = (x293)+(x295);
x297 = (x296)+(x262);
x298 = (x297)<(x262);
x299 = (x297)+(x282);
x300 = (x299)<(x282);
x301 = (x298)+(x300);
x302 = (x301)+(x267);
x303 = (x302)<(x267);
x304 = (x302)+(x286);
x305 = (x304)<(x286);
x306 = (x303)+(x305);
x307 = (x306)+(x272);
x308 = (x307)<(x272);
x309 = (x307)+(x289);
x310 = (x309)<(x289);
x311 = (x308)+(x310);
x312 = (x311)+(x274);
x313 = (x294)-((uintptr_t)1ULL);
x314 = (x294)<(x313);
x315 = (x299)-((uintptr_t)18446744069414584320ULL);
x316 = (x299)<(x315);
x317 = (x315)-(x314);
x318 = (x315)<(x317);
x319 = (x316)+(x318);
x320 = (x304)-((uintptr_t)18446744073709551615ULL);
x321 = (x304)<(x320);
x322 = (x320)-(x319);
x323 = (x320)<(x322);
x324 = (x321)+(x323);
x325 = (x309)-((uintptr_t)4294967295ULL);
x326 = (x309)<(x325);
x327 = (x325)-(x324);
x328 = (x325)<(x327);
x329 = (x326)+(x328);
x330 = (x312)-(x329);
x331 = (x312)<(x330);
x332 = ((uintptr_t)-1ULL)+((x331)==((uintptr_t)0ULL));
x333 = (x332)^((uintptr_t)18446744073709551615ULL);
x334 = ((x294)&(x332))|((x313)&(x333));
x335 = ((uintptr_t)-1ULL)+((x331)==((uintptr_t)0ULL));
x336 = (x335)^((uintptr_t)18446744073709551615ULL);
x337 = ((x299)&(x335))|((x317)&(x336));
x338 = ((uintptr_t)-1ULL)+((x331)==((uintptr_t)0ULL));
x339 = (x338)^((uintptr_t)18446744073709551615ULL);
x340 = ((x304)&(x338))|((x322)&(x339));
x341 = ((uintptr_t)-1ULL)+((x331)==((uintptr_t)0ULL));
x342 = (x341)^((uintptr_t)18446744073709551615ULL);
x343 = ((x309)&(x341))|((x327)&(x342));
x344 = x334;
x345 = x337;
x346 = x340;
x347 = x343;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x344, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x345, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x346, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x347, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p224_mul(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
internal_fiat_p224_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_p224_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, x32, x35, x37, x33, x38, x30, x39, x41, x42, x31, x29, x44, x14, x45, x16, x46, x34, x47, x49, x50, x20, x51, x36, x52, x54, x55, x25, x56, x40, x57, x59, x60, x28, x61, x43, x62, x64, x4, x70, x73, x75, x71, x76, x68, x77, x79, x80, x69, x81, x66, x82, x84, x85, x67, x72, x48, x88, x53, x89, x74, x90, x92, x93, x58, x94, x78, x95, x97, x98, x63, x99, x83, x100, x102, x103, x65, x104, x86, x105, x107, x112, x115, x117, x113, x118, x110, x119, x121, x122, x111, x109, x124, x87, x125, x91, x126, x114, x127, x129, x130, x96, x131, x116, x132, x134, x135, x101, x136, x120, x137, x139, x140, x106, x141, x123, x142, x144, x145, x108, x5, x151, x154, x156, x152, x157, x149, x158, x160, x161, x150, x162, x147, x163, x165, x166, x148, x153, x128, x169, x133, x170, x155, x171, x173, x174, x138, x175, x159, x176, x178, x179, x143, x180, x164, x181, x183, x184, x146, x185, x167, x186, x188, x193, x196, x198, x194, x199, x191, x200, x202, x203, x192, x190, x205, x168, x206, x172, x207, x195, x208, x210, x211, x177, x212, x197, x213, x215, x216, x182, x217, x201, x218, x220, x221, x187, x222, x204, x223, x225, x226, x189, x3, x2, x1, x6, x0, x232, x235, x237, x233, x238, x230, x239, x241, x242, x231, x243, x228, x244, x246, x247, x229, x234, x209, x250, x214, x251, x236, x252, x254, x255, x219, x256, x240, x257, x259, x260, x224, x261, x245, x262, x264, x265, x227, x266, x248, x267, x269, x274, x277, x279, x275, x280, x272, x281, x283, x284, x273, x271, x286, x249, x287, x253, x288, x276, x289, x291, x292, x258, x293, x278, x294, x296, x297, x263, x298, x282, x299, x301, x302, x268, x303, x285, x304, x306, x307, x270, x310, x311, x312, x314, x315, x316, x317, x319, x320, x321, x322, x324, x325, x308, x326, x290, x328, x309, x329, x295, x331, x313, x332, x300, x334, x318, x335, x327, x305, x337, x323, x338, x330, x333, x336, x339, x340, x341, x342, x343;
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)18446744073709551615ULL);
x30 = (x29)*((uintptr_t)4294967295ULL);
x31 = sizeof(intptr_t) == 4 ? ((uint64_t)(x29)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x29)*((uintptr_t)4294967295ULL))>>64;
x32 = (x29)*((uintptr_t)18446744073709551615ULL);
x33 = sizeof(intptr_t) == 4 ? ((uint64_t)(x29)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x29)*((uintptr_t)18446744073709551615ULL))>>64;
x34 = (x29)*((uintptr_t)18446744069414584320ULL);
x35 = sizeof(intptr_t) == 4 ? ((uint64_t)(x29)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x29)*((uintptr_t)18446744069414584320ULL))>>64;
x36 = (x35)+(x32);
x37 = (x36)<(x35);
x38 = (x37)+(x33);
x39 = (x38)<(x33);
x40 = (x38)+(x30);
x41 = (x40)<(x30);
x42 = (x39)+(x41);
x43 = (x42)+(x31);
x44 = (x14)+(x29);
x45 = (x44)<(x14);
x46 = (x45)+(x16);
x47 = (x46)<(x16);
x48 = (x46)+(x34);
x49 = (x48)<(x34);
x50 = (x47)+(x49);
x51 = (x50)+(x20);
x52 = (x51)<(x20);
x53 = (x51)+(x36);
x54 = (x53)<(x36);
x55 = (x52)+(x54);
x56 = (x55)+(x25);
x57 = (x56)<(x25);
x58 = (x56)+(x40);
x59 = (x58)<(x40);
x60 = (x57)+(x59);
x61 = (x60)+(x28);
x62 = (x61)<(x28);
x63 = (x61)+(x43);
x64 = (x63)<(x43);
x65 = (x62)+(x64);
x66 = (x4)*(x3);
x67 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*(x3))>>32 : ((__uint128_t)(x4)*(x3))>>64;
x68 = (x4)*(x2);
x69 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*(x2))>>32 : ((__uint128_t)(x4)*(x2))>>64;
x70 = (x4)*(x1);
x71 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*(x1))>>32 : ((__uint128_t)(x4)*(x1))>>64;
x72 = (x4)*(x0);
x73 = sizeof(intptr_t) == 4 ? ((uint64_t)(x4)*(x0))>>32 : ((__uint128_t)(x4)*(x0))>>64;
x74 = (x73)+(x70);
x75 = (x74)<(x73);
x76 = (x75)+(x71);
x77 = (x76)<(x71);
x78 = (x76)+(x68);
x79 = (x78)<(x68);
x80 = (x77)+(x79);
x81 = (x80)+(x69);
x82 = (x81)<(x69);
x83 = (x81)+(x66);
x84 = (x83)<(x66);
x85 = (x82)+(x84);
x86 = (x85)+(x67);
x87 = (x48)+(x72);
x88 = (x87)<(x48);
x89 = (x88)+(x53);
x90 = (x89)<(x53);
x91 = (x89)+(x74);
x92 = (x91)<(x74);
x93 = (x90)+(x92);
x94 = (x93)+(x58);
x95 = (x94)<(x58);
x96 = (x94)+(x78);
x97 = (x96)<(x78);
x98 = (x95)+(x97);
x99 = (x98)+(x63);
x100 = (x99)<(x63);
x101 = (x99)+(x83);
x102 = (x101)<(x83);
x103 = (x100)+(x102);
x104 = (x103)+(x65);
x105 = (x104)<(x65);
x106 = (x104)+(x86);
x107 = (x106)<(x86);
x108 = (x105)+(x107);
x109 = (x87)*((uintptr_t)18446744073709551615ULL);
x110 = (x109)*((uintptr_t)4294967295ULL);
x111 = sizeof(intptr_t) == 4 ? ((uint64_t)(x109)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x109)*((uintptr_t)4294967295ULL))>>64;
x112 = (x109)*((uintptr_t)18446744073709551615ULL);
x113 = sizeof(intptr_t) == 4 ? ((uint64_t)(x109)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x109)*((uintptr_t)18446744073709551615ULL))>>64;
x114 = (x109)*((uintptr_t)18446744069414584320ULL);
x115 = sizeof(intptr_t) == 4 ? ((uint64_t)(x109)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x109)*((uintptr_t)18446744069414584320ULL))>>64;
x116 = (x115)+(x112);
x117 = (x116)<(x115);
x118 = (x117)+(x113);
x119 = (x118)<(x113);
x120 = (x118)+(x110);
x121 = (x120)<(x110);
x122 = (x119)+(x121);
x123 = (x122)+(x111);
x124 = (x87)+(x109);
x125 = (x124)<(x87);
x126 = (x125)+(x91);
x127 = (x126)<(x91);
x128 = (x126)+(x114);
x129 = (x128)<(x114);
x130 = (x127)+(x129);
x131 = (x130)+(x96);
x132 = (x131)<(x96);
x133 = (x131)+(x116);
x134 = (x133)<(x116);
x135 = (x132)+(x134);
x136 = (x135)+(x101);
x137 = (x136)<(x101);
x138 = (x136)+(x120);
x139 = (x138)<(x120);
x140 = (x137)+(x139);
x141 = (x140)+(x106);
x142 = (x141)<(x106);
x143 = (x141)+(x123);
x144 = (x143)<(x123);
x145 = (x142)+(x144);
x146 = (x145)+(x108);
x147 = (x5)*(x3);
x148 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*(x3))>>32 : ((__uint128_t)(x5)*(x3))>>64;
x149 = (x5)*(x2);
x150 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*(x2))>>32 : ((__uint128_t)(x5)*(x2))>>64;
x151 = (x5)*(x1);
x152 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*(x1))>>32 : ((__uint128_t)(x5)*(x1))>>64;
x153 = (x5)*(x0);
x154 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*(x0))>>32 : ((__uint128_t)(x5)*(x0))>>64;
x155 = (x154)+(x151);
x156 = (x155)<(x154);
x157 = (x156)+(x152);
x158 = (x157)<(x152);
x159 = (x157)+(x149);
x160 = (x159)<(x149);
x161 = (x158)+(x160);
x162 = (x161)+(x150);
x163 = (x162)<(x150);
x164 = (x162)+(x147);
x165 = (x164)<(x147);
x166 = (x163)+(x165);
x167 = (x166)+(x148);
x168 = (x128)+(x153);
x169 = (x168)<(x128);
x170 = (x169)+(x133);
x171 = (x170)<(x133);
x172 = (x170)+(x155);
x173 = (x172)<(x155);
x174 = (x171)+(x173);
x175 = (x174)+(x138);
x176 = (x175)<(x138);
x177 = (x175)+(x159);
x178 = (x177)<(x159);
x179 = (x176)+(x178);
x180 = (x179)+(x143);
x181 = (x180)<(x143);
x182 = (x180)+(x164);
x183 = (x182)<(x164);
x184 = (x181)+(x183);
x185 = (x184)+(x146);
x186 = (x185)<(x146);
x187 = (x185)+(x167);
x188 = (x187)<(x167);
x189 = (x186)+(x188);
x190 = (x168)*((uintptr_t)18446744073709551615ULL);
x191 = (x190)*((uintptr_t)4294967295ULL);
x192 = sizeof(intptr_t) == 4 ? ((uint64_t)(x190)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x190)*((uintptr_t)4294967295ULL))>>64;
x193 = (x190)*((uintptr_t)18446744073709551615ULL);
x194 = sizeof(intptr_t) == 4 ? ((uint64_t)(x190)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x190)*((uintptr_t)18446744073709551615ULL))>>64;
x195 = (x190)*((uintptr_t)18446744069414584320ULL);
x196 = sizeof(intptr_t) == 4 ? ((uint64_t)(x190)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x190)*((uintptr_t)18446744069414584320ULL))>>64;
x197 = (x196)+(x193);
x198 = (x197)<(x196);
x199 = (x198)+(x194);
x200 = (x199)<(x194);
x201 = (x199)+(x191);
x202 = (x201)<(x191);
x203 = (x200)+(x202);
x204 = (x203)+(x192);
x205 = (x168)+(x190);
x206 = (x205)<(x168);
x207 = (x206)+(x172);
x208 = (x207)<(x172);
x209 = (x207)+(x195);
x210 = (x209)<(x195);
x211 = (x208)+(x210);
x212 = (x211)+(x177);
x213 = (x212)<(x177);
x214 = (x212)+(x197);
x215 = (x214)<(x197);
x216 = (x213)+(x215);
x217 = (x216)+(x182);
x218 = (x217)<(x182);
x219 = (x217)+(x201);
x220 = (x219)<(x201);
x221 = (x218)+(x220);
x222 = (x221)+(x187);
x223 = (x222)<(x187);
x224 = (x222)+(x204);
x225 = (x224)<(x204);
x226 = (x223)+(x225);
x227 = (x226)+(x189);
x228 = (x6)*(x3);
x229 = sizeof(intptr_t) == 4 ? ((uint64_t)(x6)*(x3))>>32 : ((__uint128_t)(x6)*(x3))>>64;
x230 = (x6)*(x2);
x231 = sizeof(intptr_t) == 4 ? ((uint64_t)(x6)*(x2))>>32 : ((__uint128_t)(x6)*(x2))>>64;
x232 = (x6)*(x1);
x233 = sizeof(intptr_t) == 4 ? ((uint64_t)(x6)*(x1))>>32 : ((__uint128_t)(x6)*(x1))>>64;
x234 = (x6)*(x0);
x235 = sizeof(intptr_t) == 4 ? ((uint64_t)(x6)*(x0))>>32 : ((__uint128_t)(x6)*(x0))>>64;
x236 = (x235)+(x232);
x237 = (x236)<(x235);
x238 = (x237)+(x233);
x239 = (x238)<(x233);
x240 = (x238)+(x230);
x241 = (x240)<(x230);
x242 = (x239)+(x241);
x243 = (x242)+(x231);
x244 = (x243)<(x231);
x245 = (x243)+(x228);
x246 = (x245)<(x228);
x247 = (x244)+(x246);
x248 = (x247)+(x229);
x249 = (x209)+(x234);
x250 = (x249)<(x209);
x251 = (x250)+(x214);
x252 = (x251)<(x214);
x253 = (x251)+(x236);
x254 = (x253)<(x236);
x255 = (x252)+(x254);
x256 = (x255)+(x219);
x257 = (x256)<(x219);
x258 = (x256)+(x240);
x259 = (x258)<(x240);
x260 = (x257)+(x259);
x261 = (x260)+(x224);
x262 = (x261)<(x224);
x263 = (x261)+(x245);
x264 = (x263)<(x245);
x265 = (x262)+(x264);
x266 = (x265)+(x227);
x267 = (x266)<(x227);
x268 = (x266)+(x248);
x269 = (x268)<(x248);
x270 = (x267)+(x269);
x271 = (x249)*((uintptr_t)18446744073709551615ULL);
x272 = (x271)*((uintptr_t)4294967295ULL);
x273 = sizeof(intptr_t) == 4 ? ((uint64_t)(x271)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x271)*((uintptr_t)4294967295ULL))>>64;
x274 = (x271)*((uintptr_t)18446744073709551615ULL);
x275 = sizeof(intptr_t) == 4 ? ((uint64_t)(x271)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x271)*((uintptr_t)18446744073709551615ULL))>>64;
x276 = (x271)*((uintptr_t)18446744069414584320ULL);
x277 = sizeof(intptr_t) == 4 ? ((uint64_t)(x271)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x271)*((uintptr_t)18446744069414584320ULL))>>64;
x278 = (x277)+(x274);
x279 = (x278)<(x277);
x280 = (x279)+(x275);
x281 = (x280)<(x275);
x282 = (x280)+(x272);
x283 = (x282)<(x272);
x284 = (x281)+(x283);
x285 = (x284)+(x273);
x286 = (x249)+(x271);
x287 = (x286)<(x249);
x288 = (x287)+(x253);
x289 = (x288)<(x253);
x290 = (x288)+(x276);
x291 = (x290)<(x276);
x292 = (x289)+(x291);
x293 = (x292)+(x258);
x294 = (x293)<(x258);
x295 = (x293)+(x278);
x296 = (x295)<(x278);
x297 = (x294)+(x296);
x298 = (x297)+(x263);
x299 = (x298)<(x263);
x300 = (x298)+(x282);
x301 = (x300)<(x282);
x302 = (x299)+(x301);
x303 = (x302)+(x268);
x304 = (x303)<(x268);
x305 = (x303)+(x285);
x306 = (x305)<(x285);
x307 = (x304)+(x306);
x308 = (x307)+(x270);
x309 = (x290)-((uintptr_t)1ULL);
x310 = (x290)<(x309);
x311 = (x295)-((uintptr_t)18446744069414584320ULL);
x312 = (x295)<(x311);
x313 = (x311)-(x310);
x314 = (x311)<(x313);
x315 = (x312)+(x314);
x316 = (x300)-((uintptr_t)18446744073709551615ULL);
x317 = (x300)<(x316);
x318 = (x316)-(x315);
x319 = (x316)<(x318);
x320 = (x317)+(x319);
x321 = (x305)-((uintptr_t)4294967295ULL);
x322 = (x305)<(x321);
x323 = (x321)-(x320);
x324 = (x321)<(x323);
x325 = (x322)+(x324);
x326 = (x308)-(x325);
x327 = (x308)<(x326);
x328 = ((uintptr_t)-1ULL)+((x327)==((uintptr_t)0ULL));
x329 = (x328)^((uintptr_t)18446744073709551615ULL);
x330 = ((x290)&(x328))|((x309)&(x329));
x331 = ((uintptr_t)-1ULL)+((x327)==((uintptr_t)0ULL));
x332 = (x331)^((uintptr_t)18446744073709551615ULL);
x333 = ((x295)&(x331))|((x313)&(x332));
x334 = ((uintptr_t)-1ULL)+((x327)==((uintptr_t)0ULL));
x335 = (x334)^((uintptr_t)18446744073709551615ULL);
x336 = ((x300)&(x334))|((x318)&(x335));
x337 = ((uintptr_t)-1ULL)+((x327)==((uintptr_t)0ULL));
x338 = (x337)^((uintptr_t)18446744073709551615ULL);
x339 = ((x305)&(x337))|((x323)&(x338));
x340 = x330;
x341 = x333;
x342 = x336;
x343 = x339;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x340, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x341, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x342, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x343, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p224_square(uint64_t out1[4], const uint64_t arg1[4]) {
internal_fiat_p224_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_p224_add(uintptr_t out0, uintptr_t in0, uintptr_t in1) {
uintptr_t x4, x0, x9, x1, x5, x11, x2, x6, x13, x3, x7, x17, x19, x15, x21, x8, x24, x16, x25, x10, x27, x18, x28, x12, x30, x20, x31, x23, x14, x33, x22, x34, x26, x29, x32, x35, x36, x37, x38, x39;
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)1ULL);
x17 = (x10)-((uintptr_t)18446744069414584320ULL);
x18 = (x17)-((x8)<(x16));
x19 = (x12)-((uintptr_t)18446744073709551615ULL);
x20 = (x19)-(((x10)<(x17))+((x17)<(x18)));
x21 = (x14)-((uintptr_t)4294967295ULL);
x22 = (x21)-(((x12)<(x19))+((x19)<(x20)));
x23 = (x15)<((x15)-(((x14)<(x21))+((x21)<(x22))));
x24 = ((uintptr_t)-1ULL)+((x23)==((uintptr_t)0ULL));
x25 = (x24)^((uintptr_t)18446744073709551615ULL);
x26 = ((x8)&(x24))|((x16)&(x25));
x27 = ((uintptr_t)-1ULL)+((x23)==((uintptr_t)0ULL));
x28 = (x27)^((uintptr_t)18446744073709551615ULL);
x29 = ((x10)&(x27))|((x18)&(x28));
x30 = ((uintptr_t)-1ULL)+((x23)==((uintptr_t)0ULL));
x31 = (x30)^((uintptr_t)18446744073709551615ULL);
x32 = ((x12)&(x30))|((x20)&(x31));
x33 = ((uintptr_t)-1ULL)+((x23)==((uintptr_t)0ULL));
x34 = (x33)^((uintptr_t)18446744073709551615ULL);
x35 = ((x14)&(x33))|((x22)&(x34));
x36 = x26;
x37 = x29;
x38 = x32;
x39 = x35;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x36, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x37, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x38, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x39, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p224_add(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
internal_fiat_p224_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_p224_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, x19, x12, x14, x15, x16, x18, x20, x21, x22, x23, x24, x25;
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)&((uintptr_t)1ULL));
x17 = ((x16)<(x8))+(x10);
x18 = (x17)+((x15)&((uintptr_t)18446744069414584320ULL));
x19 = (((x17)<(x10))+((x18)<((x15)&((uintptr_t)18446744069414584320ULL))))+(x12);
x20 = (x19)+(x15);
x21 = ((((x19)<(x12))+((x20)<(x15)))+(x14))+((x15)&((uintptr_t)4294967295ULL));
x22 = x16;
x23 = x18;
x24 = x20;
x25 = x21;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x22, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x23, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x24, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x25, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p224_sub(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
internal_fiat_p224_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_p224_opp(uintptr_t out0, uintptr_t in0) {
uintptr_t x0, x1, x2, x5, x3, x7, x9, x4, x13, x6, x15, x8, x10, x11, x12, x14, x16, x17, x18, x19, x20, x21;
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)&((uintptr_t)1ULL));
x13 = ((x12)<(x4))+(x6);
x14 = (x13)+((x11)&((uintptr_t)18446744069414584320ULL));
x15 = (((x13)<(x6))+((x14)<((x11)&((uintptr_t)18446744069414584320ULL))))+(x8);
x16 = (x15)+(x11);
x17 = ((((x15)<(x8))+((x16)<(x11)))+(x10))+((x11)&((uintptr_t)4294967295ULL));
x18 = x12;
x19 = x14;
x20 = x16;
x21 = x17;
/*skip*/
_br2_store((out0)+((uintptr_t)0ULL), x18, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)8ULL), x19, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)16ULL), x20, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)24ULL), x21, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_p224_opp(uint64_t out1[4], const uint64_t arg1[4]) {
internal_fiat_p224_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_p224_from_montgomery(uintptr_t out0, uintptr_t in0) {
uintptr_t x0, x10, x12, x8, x6, x5, x4, x9, x11, x13, x1, x15, x16, x17, x28, x30, x26, x24, x23, x19, x33, x20, x27, x35, x21, x29, x37, x22, x18, x14, x7, x31, x2, x34, x36, x38, x49, x51, x47, x45, x44, x40, x54, x41, x48, x56, x42, x50, x58, x43, x39, x32, x25, x52, x3, x55, x57, x59, x69, x61, x73, x62, x68, x75, x63, x70, x77, x64, x60, x53, x46, x71, x67, x72, x66, x65, x81, x83, x85, x74, x88, x80, x89, x76, x91, x82, x92, x78, x94, x84, x95, x87, x79, x97, x86, x98, x90, x93, x96, x99, x100, x101, x102, x103;
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)18446744073709551615ULL);
x6 = (x5)*((uintptr_t)4294967295ULL);
x7 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x5)*((uintptr_t)4294967295ULL))>>64;
x8 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x5)*((uintptr_t)18446744073709551615ULL))>>64;
x9 = (x5)*((uintptr_t)18446744069414584320ULL);
x10 = sizeof(intptr_t) == 4 ? ((uint64_t)(x5)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x5)*((uintptr_t)18446744069414584320ULL))>>64;
x11 = (x10)+((x5)*((uintptr_t)18446744073709551615ULL));
x12 = ((x11)<(x10))+(x8);
x13 = (x12)+(x6);
x14 = ((x12)<(x8))+((x13)<(x6));
x15 = (((x4)+(x5))<(x4))+(x9);
x16 = ((x15)<(x9))+(x11);
x17 = ((x16)<(x11))+(x13);
x18 = (x17)<(x13);
x19 = (x15)+(x1);
x20 = ((x19)<(x15))+(x16);
x21 = ((x20)<(x16))+(x17);
x22 = (x21)<(x17);
x23 = (x19)*((uintptr_t)18446744073709551615ULL);
x24 = (x23)*((uintptr_t)4294967295ULL);
x25 = sizeof(intptr_t) == 4 ? ((uint64_t)(x23)*((uintptr_t)4294967295ULL))>>32 : ((__uint128_t)(x23)*((uintptr_t)4294967295ULL))>>64;
x26 = sizeof(intptr_t) == 4 ? ((uint64_t)(x23)*((uintptr_t)18446744073709551615ULL))>>32 : ((__uint128_t)(x23)*((uintptr_t)18446744073709551615ULL))>>64;
x27 = (x23)*((uintptr_t)18446744069414584320ULL);
x28 = sizeof(intptr_t) == 4 ? ((uint64_t)(x23)*((uintptr_t)18446744069414584320ULL))>>32 : ((__uint128_t)(x23)*((uintptr_t)18446744069414584320ULL))>>64;
x29 = (x28)+((x23)*((uintptr_t)18446744073709551615ULL));
x30 = ((x29)<(x28))+(x26);
x31 = (x30)+(x24);
x32 = ((x30)<(x26))+((x31)<(x24));
x33 = (((x19)+(x23))<(x19))+(x20);
x34 = (x33)+(x27);
x35 = (((x33)<(x20))+((x34)<(x27)))+(x21);
x36 = (x35)+(x29);
x37 = (((x35)<(x21))+((x36)<(x29)))+((x22)+((x18)+((x14)+(x7))));
x38 = (x37)+(x31);