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p224_64.c
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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 --no-field-element-typedefs 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) */
/* 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_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)(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(18446744073709551615)));
x34 = (x33)*((uintptr_t)(UINTMAX_C(4294967295)));
x35 = _br2_mulhuu((x33), ((uintptr_t)(UINTMAX_C(4294967295))));
x36 = (x33)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x37 = _br2_mulhuu((x33), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x38 = (x33)*((uintptr_t)(UINTMAX_C(18446744069414584320)));
x39 = _br2_mulhuu((x33), ((uintptr_t)(UINTMAX_C(18446744069414584320))));
x40 = (x39)+(x36);
x41 = (uintptr_t)((x40)<(x39));
x42 = (x41)+(x37);
x43 = (uintptr_t)((x42)<(x37));
x44 = (x42)+(x34);
x45 = (uintptr_t)((x44)<(x34));
x46 = (x43)+(x45);
x47 = (x46)+(x35);
x48 = (x18)+(x33);
x49 = (uintptr_t)((x48)<(x18));
x50 = (x49)+(x20);
x51 = (uintptr_t)((x50)<(x20));
x52 = (x50)+(x38);
x53 = (uintptr_t)((x52)<(x38));
x54 = (x51)+(x53);
x55 = (x54)+(x24);
x56 = (uintptr_t)((x55)<(x24));
x57 = (x55)+(x40);
x58 = (uintptr_t)((x57)<(x40));
x59 = (x56)+(x58);
x60 = (x59)+(x29);
x61 = (uintptr_t)((x60)<(x29));
x62 = (x60)+(x44);
x63 = (uintptr_t)((x62)<(x44));
x64 = (x61)+(x63);
x65 = (x64)+(x32);
x66 = (uintptr_t)((x65)<(x32));
x67 = (x65)+(x47);
x68 = (uintptr_t)((x67)<(x47));
x69 = (x66)+(x68);
x70 = (x8)*(x7);
x71 = _br2_mulhuu((x8), (x7));
x72 = (x8)*(x6);
x73 = _br2_mulhuu((x8), (x6));
x74 = (x8)*(x5);
x75 = _br2_mulhuu((x8), (x5));
x76 = (x8)*(x4);
x77 = _br2_mulhuu((x8), (x4));
x78 = (x77)+(x74);
x79 = (uintptr_t)((x78)<(x77));
x80 = (x79)+(x75);
x81 = (uintptr_t)((x80)<(x75));
x82 = (x80)+(x72);
x83 = (uintptr_t)((x82)<(x72));
x84 = (x81)+(x83);
x85 = (x84)+(x73);
x86 = (uintptr_t)((x85)<(x73));
x87 = (x85)+(x70);
x88 = (uintptr_t)((x87)<(x70));
x89 = (x86)+(x88);
x90 = (x89)+(x71);
x91 = (x52)+(x76);
x92 = (uintptr_t)((x91)<(x52));
x93 = (x92)+(x57);
x94 = (uintptr_t)((x93)<(x57));
x95 = (x93)+(x78);
x96 = (uintptr_t)((x95)<(x78));
x97 = (x94)+(x96);
x98 = (x97)+(x62);
x99 = (uintptr_t)((x98)<(x62));
x100 = (x98)+(x82);
x101 = (uintptr_t)((x100)<(x82));
x102 = (x99)+(x101);
x103 = (x102)+(x67);
x104 = (uintptr_t)((x103)<(x67));
x105 = (x103)+(x87);
x106 = (uintptr_t)((x105)<(x87));
x107 = (x104)+(x106);
x108 = (x107)+(x69);
x109 = (uintptr_t)((x108)<(x69));
x110 = (x108)+(x90);
x111 = (uintptr_t)((x110)<(x90));
x112 = (x109)+(x111);
x113 = (x91)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x114 = (x113)*((uintptr_t)(UINTMAX_C(4294967295)));
x115 = _br2_mulhuu((x113), ((uintptr_t)(UINTMAX_C(4294967295))));
x116 = (x113)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x117 = _br2_mulhuu((x113), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x118 = (x113)*((uintptr_t)(UINTMAX_C(18446744069414584320)));
x119 = _br2_mulhuu((x113), ((uintptr_t)(UINTMAX_C(18446744069414584320))));
x120 = (x119)+(x116);
x121 = (uintptr_t)((x120)<(x119));
x122 = (x121)+(x117);
x123 = (uintptr_t)((x122)<(x117));
x124 = (x122)+(x114);
x125 = (uintptr_t)((x124)<(x114));
x126 = (x123)+(x125);
x127 = (x126)+(x115);
x128 = (x91)+(x113);
x129 = (uintptr_t)((x128)<(x91));
x130 = (x129)+(x95);
x131 = (uintptr_t)((x130)<(x95));
x132 = (x130)+(x118);
x133 = (uintptr_t)((x132)<(x118));
x134 = (x131)+(x133);
x135 = (x134)+(x100);
x136 = (uintptr_t)((x135)<(x100));
x137 = (x135)+(x120);
x138 = (uintptr_t)((x137)<(x120));
x139 = (x136)+(x138);
x140 = (x139)+(x105);
x141 = (uintptr_t)((x140)<(x105));
x142 = (x140)+(x124);
x143 = (uintptr_t)((x142)<(x124));
x144 = (x141)+(x143);
x145 = (x144)+(x110);
x146 = (uintptr_t)((x145)<(x110));
x147 = (x145)+(x127);
x148 = (uintptr_t)((x147)<(x127));
x149 = (x146)+(x148);
x150 = (x149)+(x112);
x151 = (x9)*(x7);
x152 = _br2_mulhuu((x9), (x7));
x153 = (x9)*(x6);
x154 = _br2_mulhuu((x9), (x6));
x155 = (x9)*(x5);
x156 = _br2_mulhuu((x9), (x5));
x157 = (x9)*(x4);
x158 = _br2_mulhuu((x9), (x4));
x159 = (x158)+(x155);
x160 = (uintptr_t)((x159)<(x158));
x161 = (x160)+(x156);
x162 = (uintptr_t)((x161)<(x156));
x163 = (x161)+(x153);
x164 = (uintptr_t)((x163)<(x153));
x165 = (x162)+(x164);
x166 = (x165)+(x154);
x167 = (uintptr_t)((x166)<(x154));
x168 = (x166)+(x151);
x169 = (uintptr_t)((x168)<(x151));
x170 = (x167)+(x169);
x171 = (x170)+(x152);
x172 = (x132)+(x157);
x173 = (uintptr_t)((x172)<(x132));
x174 = (x173)+(x137);
x175 = (uintptr_t)((x174)<(x137));
x176 = (x174)+(x159);
x177 = (uintptr_t)((x176)<(x159));
x178 = (x175)+(x177);
x179 = (x178)+(x142);
x180 = (uintptr_t)((x179)<(x142));
x181 = (x179)+(x163);
x182 = (uintptr_t)((x181)<(x163));
x183 = (x180)+(x182);
x184 = (x183)+(x147);
x185 = (uintptr_t)((x184)<(x147));
x186 = (x184)+(x168);
x187 = (uintptr_t)((x186)<(x168));
x188 = (x185)+(x187);
x189 = (x188)+(x150);
x190 = (uintptr_t)((x189)<(x150));
x191 = (x189)+(x171);
x192 = (uintptr_t)((x191)<(x171));
x193 = (x190)+(x192);
x194 = (x172)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x195 = (x194)*((uintptr_t)(UINTMAX_C(4294967295)));
x196 = _br2_mulhuu((x194), ((uintptr_t)(UINTMAX_C(4294967295))));
x197 = (x194)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x198 = _br2_mulhuu((x194), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x199 = (x194)*((uintptr_t)(UINTMAX_C(18446744069414584320)));
x200 = _br2_mulhuu((x194), ((uintptr_t)(UINTMAX_C(18446744069414584320))));
x201 = (x200)+(x197);
x202 = (uintptr_t)((x201)<(x200));
x203 = (x202)+(x198);
x204 = (uintptr_t)((x203)<(x198));
x205 = (x203)+(x195);
x206 = (uintptr_t)((x205)<(x195));
x207 = (x204)+(x206);
x208 = (x207)+(x196);
x209 = (x172)+(x194);
x210 = (uintptr_t)((x209)<(x172));
x211 = (x210)+(x176);
x212 = (uintptr_t)((x211)<(x176));
x213 = (x211)+(x199);
x214 = (uintptr_t)((x213)<(x199));
x215 = (x212)+(x214);
x216 = (x215)+(x181);
x217 = (uintptr_t)((x216)<(x181));
x218 = (x216)+(x201);
x219 = (uintptr_t)((x218)<(x201));
x220 = (x217)+(x219);
x221 = (x220)+(x186);
x222 = (uintptr_t)((x221)<(x186));
x223 = (x221)+(x205);
x224 = (uintptr_t)((x223)<(x205));
x225 = (x222)+(x224);
x226 = (x225)+(x191);
x227 = (uintptr_t)((x226)<(x191));
x228 = (x226)+(x208);
x229 = (uintptr_t)((x228)<(x208));
x230 = (x227)+(x229);
x231 = (x230)+(x193);
x232 = (x10)*(x7);
x233 = _br2_mulhuu((x10), (x7));
x234 = (x10)*(x6);
x235 = _br2_mulhuu((x10), (x6));
x236 = (x10)*(x5);
x237 = _br2_mulhuu((x10), (x5));
x238 = (x10)*(x4);
x239 = _br2_mulhuu((x10), (x4));
x240 = (x239)+(x236);
x241 = (uintptr_t)((x240)<(x239));
x242 = (x241)+(x237);
x243 = (uintptr_t)((x242)<(x237));
x244 = (x242)+(x234);
x245 = (uintptr_t)((x244)<(x234));
x246 = (x243)+(x245);
x247 = (x246)+(x235);
x248 = (uintptr_t)((x247)<(x235));
x249 = (x247)+(x232);
x250 = (uintptr_t)((x249)<(x232));
x251 = (x248)+(x250);
x252 = (x251)+(x233);
x253 = (x213)+(x238);
x254 = (uintptr_t)((x253)<(x213));
x255 = (x254)+(x218);
x256 = (uintptr_t)((x255)<(x218));
x257 = (x255)+(x240);
x258 = (uintptr_t)((x257)<(x240));
x259 = (x256)+(x258);
x260 = (x259)+(x223);
x261 = (uintptr_t)((x260)<(x223));
x262 = (x260)+(x244);
x263 = (uintptr_t)((x262)<(x244));
x264 = (x261)+(x263);
x265 = (x264)+(x228);
x266 = (uintptr_t)((x265)<(x228));
x267 = (x265)+(x249);
x268 = (uintptr_t)((x267)<(x249));
x269 = (x266)+(x268);
x270 = (x269)+(x231);
x271 = (uintptr_t)((x270)<(x231));
x272 = (x270)+(x252);
x273 = (uintptr_t)((x272)<(x252));
x274 = (x271)+(x273);
x275 = (x253)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x276 = (x275)*((uintptr_t)(UINTMAX_C(4294967295)));
x277 = _br2_mulhuu((x275), ((uintptr_t)(UINTMAX_C(4294967295))));
x278 = (x275)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x279 = _br2_mulhuu((x275), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x280 = (x275)*((uintptr_t)(UINTMAX_C(18446744069414584320)));
x281 = _br2_mulhuu((x275), ((uintptr_t)(UINTMAX_C(18446744069414584320))));
x282 = (x281)+(x278);
x283 = (uintptr_t)((x282)<(x281));
x284 = (x283)+(x279);
x285 = (uintptr_t)((x284)<(x279));
x286 = (x284)+(x276);
x287 = (uintptr_t)((x286)<(x276));
x288 = (x285)+(x287);
x289 = (x288)+(x277);
x290 = (x253)+(x275);
x291 = (uintptr_t)((x290)<(x253));
x292 = (x291)+(x257);
x293 = (uintptr_t)((x292)<(x257));
x294 = (x292)+(x280);
x295 = (uintptr_t)((x294)<(x280));
x296 = (x293)+(x295);
x297 = (x296)+(x262);
x298 = (uintptr_t)((x297)<(x262));
x299 = (x297)+(x282);
x300 = (uintptr_t)((x299)<(x282));
x301 = (x298)+(x300);
x302 = (x301)+(x267);
x303 = (uintptr_t)((x302)<(x267));
x304 = (x302)+(x286);
x305 = (uintptr_t)((x304)<(x286));
x306 = (x303)+(x305);
x307 = (x306)+(x272);
x308 = (uintptr_t)((x307)<(x272));
x309 = (x307)+(x289);
x310 = (uintptr_t)((x309)<(x289));
x311 = (x308)+(x310);
x312 = (x311)+(x274);
x313 = (x294)-((uintptr_t)(UINTMAX_C(1)));
x314 = (uintptr_t)((x294)<(x313));
x315 = (x299)-((uintptr_t)(UINTMAX_C(18446744069414584320)));
x316 = (uintptr_t)((x299)<(x315));
x317 = (x315)-(x314);
x318 = (uintptr_t)((x315)<(x317));
x319 = (x316)+(x318);
x320 = (x304)-((uintptr_t)(UINTMAX_C(18446744073709551615)));
x321 = (uintptr_t)((x304)<(x320));
x322 = (x320)-(x319);
x323 = (uintptr_t)((x320)<(x322));
x324 = (x321)+(x323);
x325 = (x309)-((uintptr_t)(UINTMAX_C(4294967295)));
x326 = (uintptr_t)((x309)<(x325));
x327 = (x325)-(x324);
x328 = (uintptr_t)((x325)<(x327));
x329 = (x326)+(x328);
x330 = (x312)-(x329);
x331 = (uintptr_t)((x312)<(x330));
x332 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x331)==((uintptr_t)(UINTMAX_C(0)))));
x333 = (x332)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x334 = ((x294)&(x332))|((x313)&(x333));
x335 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x331)==((uintptr_t)(UINTMAX_C(0)))));
x336 = (x335)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x337 = ((x299)&(x335))|((x317)&(x336));
x338 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x331)==((uintptr_t)(UINTMAX_C(0)))));
x339 = (x338)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x340 = ((x304)&(x338))|((x322)&(x339));
x341 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x331)==((uintptr_t)(UINTMAX_C(0)))));
x342 = (x341)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x343 = ((x309)&(x341))|((x327)&(x342));
x344 = x334;
x345 = x337;
x346 = x340;
x347 = x343;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x344, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x345, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x346, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(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(18446744073709551615)));
x30 = (x29)*((uintptr_t)(UINTMAX_C(4294967295)));
x31 = _br2_mulhuu((x29), ((uintptr_t)(UINTMAX_C(4294967295))));
x32 = (x29)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x33 = _br2_mulhuu((x29), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x34 = (x29)*((uintptr_t)(UINTMAX_C(18446744069414584320)));
x35 = _br2_mulhuu((x29), ((uintptr_t)(UINTMAX_C(18446744069414584320))));
x36 = (x35)+(x32);
x37 = (uintptr_t)((x36)<(x35));
x38 = (x37)+(x33);
x39 = (uintptr_t)((x38)<(x33));
x40 = (x38)+(x30);
x41 = (uintptr_t)((x40)<(x30));
x42 = (x39)+(x41);
x43 = (x42)+(x31);
x44 = (x14)+(x29);
x45 = (uintptr_t)((x44)<(x14));
x46 = (x45)+(x16);
x47 = (uintptr_t)((x46)<(x16));
x48 = (x46)+(x34);
x49 = (uintptr_t)((x48)<(x34));
x50 = (x47)+(x49);
x51 = (x50)+(x20);
x52 = (uintptr_t)((x51)<(x20));
x53 = (x51)+(x36);
x54 = (uintptr_t)((x53)<(x36));
x55 = (x52)+(x54);
x56 = (x55)+(x25);
x57 = (uintptr_t)((x56)<(x25));
x58 = (x56)+(x40);
x59 = (uintptr_t)((x58)<(x40));
x60 = (x57)+(x59);
x61 = (x60)+(x28);
x62 = (uintptr_t)((x61)<(x28));
x63 = (x61)+(x43);
x64 = (uintptr_t)((x63)<(x43));
x65 = (x62)+(x64);
x66 = (x4)*(x3);
x67 = _br2_mulhuu((x4), (x3));
x68 = (x4)*(x2);
x69 = _br2_mulhuu((x4), (x2));
x70 = (x4)*(x1);
x71 = _br2_mulhuu((x4), (x1));
x72 = (x4)*(x0);
x73 = _br2_mulhuu((x4), (x0));
x74 = (x73)+(x70);
x75 = (uintptr_t)((x74)<(x73));
x76 = (x75)+(x71);
x77 = (uintptr_t)((x76)<(x71));
x78 = (x76)+(x68);
x79 = (uintptr_t)((x78)<(x68));
x80 = (x77)+(x79);
x81 = (x80)+(x69);
x82 = (uintptr_t)((x81)<(x69));
x83 = (x81)+(x66);
x84 = (uintptr_t)((x83)<(x66));
x85 = (x82)+(x84);
x86 = (x85)+(x67);
x87 = (x48)+(x72);
x88 = (uintptr_t)((x87)<(x48));
x89 = (x88)+(x53);
x90 = (uintptr_t)((x89)<(x53));
x91 = (x89)+(x74);
x92 = (uintptr_t)((x91)<(x74));
x93 = (x90)+(x92);
x94 = (x93)+(x58);
x95 = (uintptr_t)((x94)<(x58));
x96 = (x94)+(x78);
x97 = (uintptr_t)((x96)<(x78));
x98 = (x95)+(x97);
x99 = (x98)+(x63);
x100 = (uintptr_t)((x99)<(x63));
x101 = (x99)+(x83);
x102 = (uintptr_t)((x101)<(x83));
x103 = (x100)+(x102);
x104 = (x103)+(x65);
x105 = (uintptr_t)((x104)<(x65));
x106 = (x104)+(x86);
x107 = (uintptr_t)((x106)<(x86));
x108 = (x105)+(x107);
x109 = (x87)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x110 = (x109)*((uintptr_t)(UINTMAX_C(4294967295)));
x111 = _br2_mulhuu((x109), ((uintptr_t)(UINTMAX_C(4294967295))));
x112 = (x109)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x113 = _br2_mulhuu((x109), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x114 = (x109)*((uintptr_t)(UINTMAX_C(18446744069414584320)));
x115 = _br2_mulhuu((x109), ((uintptr_t)(UINTMAX_C(18446744069414584320))));
x116 = (x115)+(x112);
x117 = (uintptr_t)((x116)<(x115));
x118 = (x117)+(x113);
x119 = (uintptr_t)((x118)<(x113));
x120 = (x118)+(x110);
x121 = (uintptr_t)((x120)<(x110));
x122 = (x119)+(x121);
x123 = (x122)+(x111);
x124 = (x87)+(x109);
x125 = (uintptr_t)((x124)<(x87));
x126 = (x125)+(x91);
x127 = (uintptr_t)((x126)<(x91));
x128 = (x126)+(x114);
x129 = (uintptr_t)((x128)<(x114));
x130 = (x127)+(x129);
x131 = (x130)+(x96);
x132 = (uintptr_t)((x131)<(x96));
x133 = (x131)+(x116);
x134 = (uintptr_t)((x133)<(x116));
x135 = (x132)+(x134);
x136 = (x135)+(x101);
x137 = (uintptr_t)((x136)<(x101));
x138 = (x136)+(x120);
x139 = (uintptr_t)((x138)<(x120));
x140 = (x137)+(x139);
x141 = (x140)+(x106);
x142 = (uintptr_t)((x141)<(x106));
x143 = (x141)+(x123);
x144 = (uintptr_t)((x143)<(x123));
x145 = (x142)+(x144);
x146 = (x145)+(x108);
x147 = (x5)*(x3);
x148 = _br2_mulhuu((x5), (x3));
x149 = (x5)*(x2);
x150 = _br2_mulhuu((x5), (x2));
x151 = (x5)*(x1);
x152 = _br2_mulhuu((x5), (x1));
x153 = (x5)*(x0);
x154 = _br2_mulhuu((x5), (x0));
x155 = (x154)+(x151);
x156 = (uintptr_t)((x155)<(x154));
x157 = (x156)+(x152);
x158 = (uintptr_t)((x157)<(x152));
x159 = (x157)+(x149);
x160 = (uintptr_t)((x159)<(x149));
x161 = (x158)+(x160);
x162 = (x161)+(x150);
x163 = (uintptr_t)((x162)<(x150));
x164 = (x162)+(x147);
x165 = (uintptr_t)((x164)<(x147));
x166 = (x163)+(x165);
x167 = (x166)+(x148);
x168 = (x128)+(x153);
x169 = (uintptr_t)((x168)<(x128));
x170 = (x169)+(x133);
x171 = (uintptr_t)((x170)<(x133));
x172 = (x170)+(x155);
x173 = (uintptr_t)((x172)<(x155));
x174 = (x171)+(x173);
x175 = (x174)+(x138);
x176 = (uintptr_t)((x175)<(x138));
x177 = (x175)+(x159);
x178 = (uintptr_t)((x177)<(x159));
x179 = (x176)+(x178);
x180 = (x179)+(x143);
x181 = (uintptr_t)((x180)<(x143));
x182 = (x180)+(x164);
x183 = (uintptr_t)((x182)<(x164));
x184 = (x181)+(x183);
x185 = (x184)+(x146);
x186 = (uintptr_t)((x185)<(x146));
x187 = (x185)+(x167);
x188 = (uintptr_t)((x187)<(x167));
x189 = (x186)+(x188);
x190 = (x168)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x191 = (x190)*((uintptr_t)(UINTMAX_C(4294967295)));
x192 = _br2_mulhuu((x190), ((uintptr_t)(UINTMAX_C(4294967295))));
x193 = (x190)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x194 = _br2_mulhuu((x190), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x195 = (x190)*((uintptr_t)(UINTMAX_C(18446744069414584320)));
x196 = _br2_mulhuu((x190), ((uintptr_t)(UINTMAX_C(18446744069414584320))));
x197 = (x196)+(x193);
x198 = (uintptr_t)((x197)<(x196));
x199 = (x198)+(x194);
x200 = (uintptr_t)((x199)<(x194));
x201 = (x199)+(x191);
x202 = (uintptr_t)((x201)<(x191));
x203 = (x200)+(x202);
x204 = (x203)+(x192);
x205 = (x168)+(x190);
x206 = (uintptr_t)((x205)<(x168));
x207 = (x206)+(x172);
x208 = (uintptr_t)((x207)<(x172));
x209 = (x207)+(x195);
x210 = (uintptr_t)((x209)<(x195));
x211 = (x208)+(x210);
x212 = (x211)+(x177);
x213 = (uintptr_t)((x212)<(x177));
x214 = (x212)+(x197);
x215 = (uintptr_t)((x214)<(x197));
x216 = (x213)+(x215);
x217 = (x216)+(x182);
x218 = (uintptr_t)((x217)<(x182));
x219 = (x217)+(x201);
x220 = (uintptr_t)((x219)<(x201));
x221 = (x218)+(x220);
x222 = (x221)+(x187);
x223 = (uintptr_t)((x222)<(x187));
x224 = (x222)+(x204);
x225 = (uintptr_t)((x224)<(x204));
x226 = (x223)+(x225);
x227 = (x226)+(x189);
x228 = (x6)*(x3);
x229 = _br2_mulhuu((x6), (x3));
x230 = (x6)*(x2);
x231 = _br2_mulhuu((x6), (x2));
x232 = (x6)*(x1);
x233 = _br2_mulhuu((x6), (x1));
x234 = (x6)*(x0);
x235 = _br2_mulhuu((x6), (x0));
x236 = (x235)+(x232);
x237 = (uintptr_t)((x236)<(x235));
x238 = (x237)+(x233);
x239 = (uintptr_t)((x238)<(x233));
x240 = (x238)+(x230);
x241 = (uintptr_t)((x240)<(x230));
x242 = (x239)+(x241);
x243 = (x242)+(x231);
x244 = (uintptr_t)((x243)<(x231));
x245 = (x243)+(x228);
x246 = (uintptr_t)((x245)<(x228));
x247 = (x244)+(x246);
x248 = (x247)+(x229);
x249 = (x209)+(x234);
x250 = (uintptr_t)((x249)<(x209));
x251 = (x250)+(x214);
x252 = (uintptr_t)((x251)<(x214));
x253 = (x251)+(x236);
x254 = (uintptr_t)((x253)<(x236));
x255 = (x252)+(x254);
x256 = (x255)+(x219);
x257 = (uintptr_t)((x256)<(x219));
x258 = (x256)+(x240);
x259 = (uintptr_t)((x258)<(x240));
x260 = (x257)+(x259);
x261 = (x260)+(x224);
x262 = (uintptr_t)((x261)<(x224));
x263 = (x261)+(x245);
x264 = (uintptr_t)((x263)<(x245));
x265 = (x262)+(x264);
x266 = (x265)+(x227);
x267 = (uintptr_t)((x266)<(x227));
x268 = (x266)+(x248);
x269 = (uintptr_t)((x268)<(x248));
x270 = (x267)+(x269);
x271 = (x249)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x272 = (x271)*((uintptr_t)(UINTMAX_C(4294967295)));
x273 = _br2_mulhuu((x271), ((uintptr_t)(UINTMAX_C(4294967295))));
x274 = (x271)*((uintptr_t)(UINTMAX_C(18446744073709551615)));
x275 = _br2_mulhuu((x271), ((uintptr_t)(UINTMAX_C(18446744073709551615))));
x276 = (x271)*((uintptr_t)(UINTMAX_C(18446744069414584320)));
x277 = _br2_mulhuu((x271), ((uintptr_t)(UINTMAX_C(18446744069414584320))));
x278 = (x277)+(x274);
x279 = (uintptr_t)((x278)<(x277));
x280 = (x279)+(x275);
x281 = (uintptr_t)((x280)<(x275));
x282 = (x280)+(x272);
x283 = (uintptr_t)((x282)<(x272));
x284 = (x281)+(x283);
x285 = (x284)+(x273);
x286 = (x249)+(x271);
x287 = (uintptr_t)((x286)<(x249));
x288 = (x287)+(x253);
x289 = (uintptr_t)((x288)<(x253));
x290 = (x288)+(x276);
x291 = (uintptr_t)((x290)<(x276));
x292 = (x289)+(x291);
x293 = (x292)+(x258);
x294 = (uintptr_t)((x293)<(x258));
x295 = (x293)+(x278);
x296 = (uintptr_t)((x295)<(x278));
x297 = (x294)+(x296);
x298 = (x297)+(x263);
x299 = (uintptr_t)((x298)<(x263));
x300 = (x298)+(x282);
x301 = (uintptr_t)((x300)<(x282));
x302 = (x299)+(x301);
x303 = (x302)+(x268);
x304 = (uintptr_t)((x303)<(x268));
x305 = (x303)+(x285);
x306 = (uintptr_t)((x305)<(x285));
x307 = (x304)+(x306);
x308 = (x307)+(x270);
x309 = (x290)-((uintptr_t)(UINTMAX_C(1)));
x310 = (uintptr_t)((x290)<(x309));
x311 = (x295)-((uintptr_t)(UINTMAX_C(18446744069414584320)));
x312 = (uintptr_t)((x295)<(x311));
x313 = (x311)-(x310);
x314 = (uintptr_t)((x311)<(x313));
x315 = (x312)+(x314);
x316 = (x300)-((uintptr_t)(UINTMAX_C(18446744073709551615)));
x317 = (uintptr_t)((x300)<(x316));
x318 = (x316)-(x315);
x319 = (uintptr_t)((x316)<(x318));
x320 = (x317)+(x319);
x321 = (x305)-((uintptr_t)(UINTMAX_C(4294967295)));
x322 = (uintptr_t)((x305)<(x321));
x323 = (x321)-(x320);
x324 = (uintptr_t)((x321)<(x323));
x325 = (x322)+(x324);
x326 = (x308)-(x325);
x327 = (uintptr_t)((x308)<(x326));
x328 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x327)==((uintptr_t)(UINTMAX_C(0)))));
x329 = (x328)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x330 = ((x290)&(x328))|((x309)&(x329));
x331 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x327)==((uintptr_t)(UINTMAX_C(0)))));
x332 = (x331)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x333 = ((x295)&(x331))|((x313)&(x332));
x334 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x327)==((uintptr_t)(UINTMAX_C(0)))));
x335 = (x334)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x336 = ((x300)&(x334))|((x318)&(x335));
x337 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x327)==((uintptr_t)(UINTMAX_C(0)))));
x338 = (x337)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x339 = ((x305)&(x337))|((x323)&(x338));
x340 = x330;
x341 = x333;
x342 = x336;
x343 = x339;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x340, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x341, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x342, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(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(1)));
x17 = (x10)-((uintptr_t)(UINTMAX_C(18446744069414584320)));
x18 = (x17)-((uintptr_t)((x8)<(x16)));
x19 = (x12)-((uintptr_t)(UINTMAX_C(18446744073709551615)));
x20 = (x19)-(((uintptr_t)((x10)<(x17)))+((uintptr_t)((x17)<(x18))));
x21 = (x14)-((uintptr_t)(UINTMAX_C(4294967295)));
x22 = (x21)-(((uintptr_t)((x12)<(x19)))+((uintptr_t)((x19)<(x20))));
x23 = (uintptr_t)((x15)<((x15)-(((uintptr_t)((x14)<(x21)))+((uintptr_t)((x21)<(x22))))));
x24 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x23)==((uintptr_t)(UINTMAX_C(0)))));
x25 = (x24)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x26 = ((x8)&(x24))|((x16)&(x25));
x27 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x23)==((uintptr_t)(UINTMAX_C(0)))));
x28 = (x27)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x29 = ((x10)&(x27))|((x18)&(x28));
x30 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x23)==((uintptr_t)(UINTMAX_C(0)))));
x31 = (x30)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x32 = ((x12)&(x30))|((x20)&(x31));
x33 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x23)==((uintptr_t)(UINTMAX_C(0)))));
x34 = (x33)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x35 = ((x14)&(x33))|((x22)&(x34));
x36 = x26;
x37 = x29;
x38 = x32;
x39 = x35;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x36, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x37, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x38, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(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)&((uintptr_t)(UINTMAX_C(1))));
x17 = ((uintptr_t)((x16)<(x8)))+(x10);
x18 = (x17)+((x15)&((uintptr_t)(UINTMAX_C(18446744069414584320))));
x19 = (((uintptr_t)((x17)<(x10)))+((uintptr_t)((x18)<((x15)&((uintptr_t)(UINTMAX_C(18446744069414584320)))))))+(x12);
x20 = (x19)+(x15);
x21 = ((((uintptr_t)((x19)<(x12)))+((uintptr_t)((x20)<(x15))))+(x14))+((x15)&((uintptr_t)(UINTMAX_C(4294967295))));
x22 = x16;
x23 = x18;
x24 = x20;
x25 = x21;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x22, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x23, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x24, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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)(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)&((uintptr_t)(UINTMAX_C(1))));
x13 = ((uintptr_t)((x12)<(x4)))+(x6);
x14 = (x13)+((x11)&((uintptr_t)(UINTMAX_C(18446744069414584320))));
x15 = (((uintptr_t)((x13)<(x6)))+((uintptr_t)((x14)<((x11)&((uintptr_t)(UINTMAX_C(18446744069414584320)))))))+(x8);
x16 = (x15)+(x11);
x17 = ((((uintptr_t)((x15)<(x8)))+((uintptr_t)((x16)<(x11))))+(x10))+((x11)&((uintptr_t)(UINTMAX_C(4294967295))));
x18 = x12;
x19 = x14;
x20 = x16;
x21 = x17;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x18, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x19, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x20, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), 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);
}