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curve25519_64.c
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/* Autogenerated: 'src/ExtractionOCaml/bedrock2_unsaturated_solinas' --lang bedrock2 --static --no-wide-int --widen-carry --widen-bytes --split-multiret --no-select --no-field-element-typedefs 25519 64 '(auto)' '2^255 - 19' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax carry_scmul121666 */
/* curve description: 25519 */
/* machine_wordsize = 64 (from "64") */
/* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax, carry_scmul121666 */
/* n = 5 (from "(auto)") */
/* s-c = 2^255 - [(1, 19)] (from "2^255 - 19") */
/* tight_bounds_multiplier = 1 (from "") */
/* */
/* Computed values: */
/* carry_chain = [0, 1, 2, 3, 4, 0, 1] */
/* eval z = z[0] + (z[1] << 51) + (z[2] << 102) + (z[3] << 153) + (z[4] << 204) */
/* 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) */
/* balance = [0xfffffffffffda, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe, 0xffffffffffffe] */
#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 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]]
* in1: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]]
* Output Bounds:
* out0: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
*/
static
void internal_fiat_25519_carry_mul(uintptr_t out0, uintptr_t in0, uintptr_t in1) {
uintptr_t x4, x3, x2, x1, x9, x8, x7, x6, x0, x5, x16, x22, x61, x23, x62, x17, x60, x26, x65, x27, x66, x63, x64, x28, x69, x29, x70, x67, x68, x58, x73, x59, x74, x71, x75, x72, x30, x32, x79, x33, x80, x31, x78, x36, x83, x37, x84, x81, x82, x42, x87, x43, x88, x85, x86, x50, x91, x51, x92, x89, x10, x34, x95, x35, x96, x11, x94, x38, x99, x39, x100, x97, x98, x44, x103, x45, x104, x101, x102, x52, x107, x53, x108, x105, x12, x18, x111, x19, x112, x13, x110, x40, x115, x41, x116, x113, x114, x46, x119, x47, x120, x117, x118, x54, x123, x55, x124, x121, x14, x20, x127, x21, x128, x15, x126, x24, x131, x25, x132, x129, x130, x48, x135, x49, x136, x133, x134, x56, x139, x57, x140, x137, x138, x76, x143, x141, x144, x142, x122, x145, x148, x125, x149, x147, x106, x150, x153, x109, x154, x152, x90, x155, x158, x93, x159, x157, x160, x77, x162, x163, x164, x146, x166, x167, x151, x165, x168, x169, x156, x161, x170, x171, x172, x173, x174;
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));
x4 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
x5 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(0))), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x8 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
x9 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x10 = (x4)*((x9)*((uintptr_t)(UINTMAX_C(19))));
x11 = _br2_mulhuu((x4), ((x9)*((uintptr_t)(UINTMAX_C(19)))));
x12 = (x4)*((x8)*((uintptr_t)(UINTMAX_C(19))));
x13 = _br2_mulhuu((x4), ((x8)*((uintptr_t)(UINTMAX_C(19)))));
x14 = (x4)*((x7)*((uintptr_t)(UINTMAX_C(19))));
x15 = _br2_mulhuu((x4), ((x7)*((uintptr_t)(UINTMAX_C(19)))));
x16 = (x4)*((x6)*((uintptr_t)(UINTMAX_C(19))));
x17 = _br2_mulhuu((x4), ((x6)*((uintptr_t)(UINTMAX_C(19)))));
x18 = (x3)*((x9)*((uintptr_t)(UINTMAX_C(19))));
x19 = _br2_mulhuu((x3), ((x9)*((uintptr_t)(UINTMAX_C(19)))));
x20 = (x3)*((x8)*((uintptr_t)(UINTMAX_C(19))));
x21 = _br2_mulhuu((x3), ((x8)*((uintptr_t)(UINTMAX_C(19)))));
x22 = (x3)*((x7)*((uintptr_t)(UINTMAX_C(19))));
x23 = _br2_mulhuu((x3), ((x7)*((uintptr_t)(UINTMAX_C(19)))));
x24 = (x2)*((x9)*((uintptr_t)(UINTMAX_C(19))));
x25 = _br2_mulhuu((x2), ((x9)*((uintptr_t)(UINTMAX_C(19)))));
x26 = (x2)*((x8)*((uintptr_t)(UINTMAX_C(19))));
x27 = _br2_mulhuu((x2), ((x8)*((uintptr_t)(UINTMAX_C(19)))));
x28 = (x1)*((x9)*((uintptr_t)(UINTMAX_C(19))));
x29 = _br2_mulhuu((x1), ((x9)*((uintptr_t)(UINTMAX_C(19)))));
x30 = (x4)*(x5);
x31 = _br2_mulhuu((x4), (x5));
x32 = (x3)*(x6);
x33 = _br2_mulhuu((x3), (x6));
x34 = (x3)*(x5);
x35 = _br2_mulhuu((x3), (x5));
x36 = (x2)*(x7);
x37 = _br2_mulhuu((x2), (x7));
x38 = (x2)*(x6);
x39 = _br2_mulhuu((x2), (x6));
x40 = (x2)*(x5);
x41 = _br2_mulhuu((x2), (x5));
x42 = (x1)*(x8);
x43 = _br2_mulhuu((x1), (x8));
x44 = (x1)*(x7);
x45 = _br2_mulhuu((x1), (x7));
x46 = (x1)*(x6);
x47 = _br2_mulhuu((x1), (x6));
x48 = (x1)*(x5);
x49 = _br2_mulhuu((x1), (x5));
x50 = (x0)*(x9);
x51 = _br2_mulhuu((x0), (x9));
x52 = (x0)*(x8);
x53 = _br2_mulhuu((x0), (x8));
x54 = (x0)*(x7);
x55 = _br2_mulhuu((x0), (x7));
x56 = (x0)*(x6);
x57 = _br2_mulhuu((x0), (x6));
x58 = (x0)*(x5);
x59 = _br2_mulhuu((x0), (x5));
x60 = (x22)+(x16);
x61 = (uintptr_t)((x60)<(x22));
x62 = (x61)+(x23);
x63 = (x62)+(x17);
x64 = (x26)+(x60);
x65 = (uintptr_t)((x64)<(x26));
x66 = (x65)+(x27);
x67 = (x66)+(x63);
x68 = (x28)+(x64);
x69 = (uintptr_t)((x68)<(x28));
x70 = (x69)+(x29);
x71 = (x70)+(x67);
x72 = (x58)+(x68);
x73 = (uintptr_t)((x72)<(x58));
x74 = (x73)+(x59);
x75 = (x74)+(x71);
x76 = ((x72)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x75)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x77 = (x72)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x78 = (x32)+(x30);
x79 = (uintptr_t)((x78)<(x32));
x80 = (x79)+(x33);
x81 = (x80)+(x31);
x82 = (x36)+(x78);
x83 = (uintptr_t)((x82)<(x36));
x84 = (x83)+(x37);
x85 = (x84)+(x81);
x86 = (x42)+(x82);
x87 = (uintptr_t)((x86)<(x42));
x88 = (x87)+(x43);
x89 = (x88)+(x85);
x90 = (x50)+(x86);
x91 = (uintptr_t)((x90)<(x50));
x92 = (x91)+(x51);
x93 = (x92)+(x89);
x94 = (x34)+(x10);
x95 = (uintptr_t)((x94)<(x34));
x96 = (x95)+(x35);
x97 = (x96)+(x11);
x98 = (x38)+(x94);
x99 = (uintptr_t)((x98)<(x38));
x100 = (x99)+(x39);
x101 = (x100)+(x97);
x102 = (x44)+(x98);
x103 = (uintptr_t)((x102)<(x44));
x104 = (x103)+(x45);
x105 = (x104)+(x101);
x106 = (x52)+(x102);
x107 = (uintptr_t)((x106)<(x52));
x108 = (x107)+(x53);
x109 = (x108)+(x105);
x110 = (x18)+(x12);
x111 = (uintptr_t)((x110)<(x18));
x112 = (x111)+(x19);
x113 = (x112)+(x13);
x114 = (x40)+(x110);
x115 = (uintptr_t)((x114)<(x40));
x116 = (x115)+(x41);
x117 = (x116)+(x113);
x118 = (x46)+(x114);
x119 = (uintptr_t)((x118)<(x46));
x120 = (x119)+(x47);
x121 = (x120)+(x117);
x122 = (x54)+(x118);
x123 = (uintptr_t)((x122)<(x54));
x124 = (x123)+(x55);
x125 = (x124)+(x121);
x126 = (x20)+(x14);
x127 = (uintptr_t)((x126)<(x20));
x128 = (x127)+(x21);
x129 = (x128)+(x15);
x130 = (x24)+(x126);
x131 = (uintptr_t)((x130)<(x24));
x132 = (x131)+(x25);
x133 = (x132)+(x129);
x134 = (x48)+(x130);
x135 = (uintptr_t)((x134)<(x48));
x136 = (x135)+(x49);
x137 = (x136)+(x133);
x138 = (x56)+(x134);
x139 = (uintptr_t)((x138)<(x56));
x140 = (x139)+(x57);
x141 = (x140)+(x137);
x142 = (x76)+(x138);
x143 = (uintptr_t)((x142)<(x76));
x144 = (x143)+(x141);
x145 = ((x142)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x144)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x146 = (x142)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x147 = (x145)+(x122);
x148 = (uintptr_t)((x147)<(x145));
x149 = (x148)+(x125);
x150 = ((x147)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x149)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x151 = (x147)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x152 = (x150)+(x106);
x153 = (uintptr_t)((x152)<(x150));
x154 = (x153)+(x109);
x155 = ((x152)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x154)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x156 = (x152)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x157 = (x155)+(x90);
x158 = (uintptr_t)((x157)<(x155));
x159 = (x158)+(x93);
x160 = ((x157)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x159)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x161 = (x157)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x162 = (x160)*((uintptr_t)(UINTMAX_C(19)));
x163 = (x77)+(x162);
x164 = (x163)>>_br2_shamt((uintptr_t)(UINTMAX_C(51)));
x165 = (x163)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x166 = (x164)+(x146);
x167 = (x166)>>_br2_shamt((uintptr_t)(UINTMAX_C(51)));
x168 = (x166)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x169 = (x167)+(x151);
x170 = x165;
x171 = x168;
x172 = x169;
x173 = x156;
x174 = x161;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x170, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x171, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x172, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), x173, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(32))), x174, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_25519_carry_mul(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) {
internal_fiat_25519_carry_mul((uintptr_t)out1, (uintptr_t)arg1, (uintptr_t)arg2);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]]
* Output Bounds:
* out0: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
*/
static
void internal_fiat_25519_carry_square(uintptr_t out0, uintptr_t in0) {
uintptr_t x4, x5, x3, x8, x9, x2, x6, x1, x7, x10, x11, x12, x0, x21, x25, x44, x26, x45, x22, x43, x41, x48, x42, x49, x46, x50, x47, x23, x27, x54, x28, x55, x24, x53, x33, x58, x34, x59, x56, x13, x29, x62, x30, x63, x14, x61, x35, x66, x36, x67, x64, x15, x31, x70, x32, x71, x16, x69, x37, x74, x38, x75, x72, x17, x19, x78, x20, x79, x18, x77, x39, x82, x40, x83, x80, x81, x51, x86, x84, x87, x85, x73, x88, x91, x76, x92, x90, x65, x93, x96, x68, x97, x95, x57, x98, x101, x60, x102, x100, x103, x52, x105, x106, x107, x89, x109, x110, x94, x108, x111, x112, x99, x104, x113, x114, x115, x116, x117;
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));
x4 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x5 = (x4)*((uintptr_t)(UINTMAX_C(19)));
x6 = (x5)*((uintptr_t)(UINTMAX_C(2)));
x7 = (x4)*((uintptr_t)(UINTMAX_C(2)));
x8 = (x3)*((uintptr_t)(UINTMAX_C(19)));
x9 = (x8)*((uintptr_t)(UINTMAX_C(2)));
x10 = (x3)*((uintptr_t)(UINTMAX_C(2)));
x11 = (x2)*((uintptr_t)(UINTMAX_C(2)));
x12 = (x1)*((uintptr_t)(UINTMAX_C(2)));
x13 = (x4)*(x5);
x14 = _br2_mulhuu((x4), (x5));
x15 = (x3)*(x6);
x16 = _br2_mulhuu((x3), (x6));
x17 = (x3)*(x8);
x18 = _br2_mulhuu((x3), (x8));
x19 = (x2)*(x6);
x20 = _br2_mulhuu((x2), (x6));
x21 = (x2)*(x9);
x22 = _br2_mulhuu((x2), (x9));
x23 = (x2)*(x2);
x24 = _br2_mulhuu((x2), (x2));
x25 = (x1)*(x6);
x26 = _br2_mulhuu((x1), (x6));
x27 = (x1)*(x10);
x28 = _br2_mulhuu((x1), (x10));
x29 = (x1)*(x11);
x30 = _br2_mulhuu((x1), (x11));
x31 = (x1)*(x1);
x32 = _br2_mulhuu((x1), (x1));
x33 = (x0)*(x7);
x34 = _br2_mulhuu((x0), (x7));
x35 = (x0)*(x10);
x36 = _br2_mulhuu((x0), (x10));
x37 = (x0)*(x11);
x38 = _br2_mulhuu((x0), (x11));
x39 = (x0)*(x12);
x40 = _br2_mulhuu((x0), (x12));
x41 = (x0)*(x0);
x42 = _br2_mulhuu((x0), (x0));
x43 = (x25)+(x21);
x44 = (uintptr_t)((x43)<(x25));
x45 = (x44)+(x26);
x46 = (x45)+(x22);
x47 = (x41)+(x43);
x48 = (uintptr_t)((x47)<(x41));
x49 = (x48)+(x42);
x50 = (x49)+(x46);
x51 = ((x47)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x50)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x52 = (x47)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x53 = (x27)+(x23);
x54 = (uintptr_t)((x53)<(x27));
x55 = (x54)+(x28);
x56 = (x55)+(x24);
x57 = (x33)+(x53);
x58 = (uintptr_t)((x57)<(x33));
x59 = (x58)+(x34);
x60 = (x59)+(x56);
x61 = (x29)+(x13);
x62 = (uintptr_t)((x61)<(x29));
x63 = (x62)+(x30);
x64 = (x63)+(x14);
x65 = (x35)+(x61);
x66 = (uintptr_t)((x65)<(x35));
x67 = (x66)+(x36);
x68 = (x67)+(x64);
x69 = (x31)+(x15);
x70 = (uintptr_t)((x69)<(x31));
x71 = (x70)+(x32);
x72 = (x71)+(x16);
x73 = (x37)+(x69);
x74 = (uintptr_t)((x73)<(x37));
x75 = (x74)+(x38);
x76 = (x75)+(x72);
x77 = (x19)+(x17);
x78 = (uintptr_t)((x77)<(x19));
x79 = (x78)+(x20);
x80 = (x79)+(x18);
x81 = (x39)+(x77);
x82 = (uintptr_t)((x81)<(x39));
x83 = (x82)+(x40);
x84 = (x83)+(x80);
x85 = (x51)+(x81);
x86 = (uintptr_t)((x85)<(x51));
x87 = (x86)+(x84);
x88 = ((x85)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x87)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x89 = (x85)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x90 = (x88)+(x73);
x91 = (uintptr_t)((x90)<(x88));
x92 = (x91)+(x76);
x93 = ((x90)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x92)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x94 = (x90)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x95 = (x93)+(x65);
x96 = (uintptr_t)((x95)<(x93));
x97 = (x96)+(x68);
x98 = ((x95)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x97)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x99 = (x95)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x100 = (x98)+(x57);
x101 = (uintptr_t)((x100)<(x98));
x102 = (x101)+(x60);
x103 = ((x100)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))|((x102)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x104 = (x100)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x105 = (x103)*((uintptr_t)(UINTMAX_C(19)));
x106 = (x52)+(x105);
x107 = (x106)>>_br2_shamt((uintptr_t)(UINTMAX_C(51)));
x108 = (x106)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x109 = (x107)+(x89);
x110 = (x109)>>_br2_shamt((uintptr_t)(UINTMAX_C(51)));
x111 = (x109)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x112 = (x110)+(x94);
x113 = x108;
x114 = x111;
x115 = x112;
x116 = x99;
x117 = x104;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x113, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x114, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x115, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), x116, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(32))), x117, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_25519_carry_square(uint64_t out1[5], const uint64_t arg1[5]) {
internal_fiat_25519_carry_square((uintptr_t)out1, (uintptr_t)arg1);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]]
* Output Bounds:
* out0: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
*/
static
void internal_fiat_25519_carry(uintptr_t out0, uintptr_t in0) {
uintptr_t x0, x1, x2, x3, x4, x5, x6, x10, x11, x7, x8, x9, x12, x13, x14, x15, 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));
x4 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x5 = x0;
x6 = ((x5)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+(x1);
x7 = ((x6)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+(x2);
x8 = ((x7)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+(x3);
x9 = ((x8)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+(x4);
x10 = ((x5)&((uintptr_t)(UINTMAX_C(2251799813685247))))+(((x9)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))*((uintptr_t)(UINTMAX_C(19))));
x11 = ((x10)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+((x6)&((uintptr_t)(UINTMAX_C(2251799813685247))));
x12 = (x10)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x13 = (x11)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x14 = ((x11)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+((x7)&((uintptr_t)(UINTMAX_C(2251799813685247))));
x15 = (x8)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x16 = (x9)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x17 = x12;
x18 = x13;
x19 = x14;
x20 = x15;
x21 = 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));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(32))), x21, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_25519_carry(uint64_t out1[5], const uint64_t arg1[5]) {
internal_fiat_25519_carry((uintptr_t)out1, (uintptr_t)arg1);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
* in1: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
* Output Bounds:
* out0: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]]
*/
static
void internal_fiat_25519_add(uintptr_t out0, uintptr_t in0, uintptr_t in1) {
uintptr_t x0, x5, x1, x6, x2, x7, x3, x8, x4, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19;
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));
x4 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
x5 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(0))), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x8 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
x9 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x10 = (x0)+(x5);
x11 = (x1)+(x6);
x12 = (x2)+(x7);
x13 = (x3)+(x8);
x14 = (x4)+(x9);
x15 = x10;
x16 = x11;
x17 = x12;
x18 = x13;
x19 = x14;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x15, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x16, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x17, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), x18, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(32))), x19, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_25519_add(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) {
internal_fiat_25519_add((uintptr_t)out1, (uintptr_t)arg1, (uintptr_t)arg2);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
* in1: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
* Output Bounds:
* out0: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]]
*/
static
void internal_fiat_25519_sub(uintptr_t out0, uintptr_t in0, uintptr_t in1) {
uintptr_t x0, x5, x1, x6, x2, x7, x3, x8, x4, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19;
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));
x4 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
x5 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(0))), sizeof(uintptr_t));
x6 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x7 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x8 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
x9 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x10 = (((uintptr_t)(UINTMAX_C(4503599627370458)))+(x0))-(x5);
x11 = (((uintptr_t)(UINTMAX_C(4503599627370494)))+(x1))-(x6);
x12 = (((uintptr_t)(UINTMAX_C(4503599627370494)))+(x2))-(x7);
x13 = (((uintptr_t)(UINTMAX_C(4503599627370494)))+(x3))-(x8);
x14 = (((uintptr_t)(UINTMAX_C(4503599627370494)))+(x4))-(x9);
x15 = x10;
x16 = x11;
x17 = x12;
x18 = x13;
x19 = x14;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x15, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x16, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x17, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), x18, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(32))), x19, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_25519_sub(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) {
internal_fiat_25519_sub((uintptr_t)out1, (uintptr_t)arg1, (uintptr_t)arg2);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
* Output Bounds:
* out0: [[0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000], [0x0 ~> 0x18000000000000]]
*/
static
void internal_fiat_25519_opp(uintptr_t out0, uintptr_t in0) {
uintptr_t x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14;
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));
x4 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x5 = ((uintptr_t)(UINTMAX_C(4503599627370458)))-(x0);
x6 = ((uintptr_t)(UINTMAX_C(4503599627370494)))-(x1);
x7 = ((uintptr_t)(UINTMAX_C(4503599627370494)))-(x2);
x8 = ((uintptr_t)(UINTMAX_C(4503599627370494)))-(x3);
x9 = ((uintptr_t)(UINTMAX_C(4503599627370494)))-(x4);
x10 = x5;
x11 = x6;
x12 = x7;
x13 = x8;
x14 = x9;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x10, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x11, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x12, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), x13, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(32))), x14, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_25519_opp(uint64_t out1[5], const uint64_t arg1[5]) {
internal_fiat_25519_opp((uintptr_t)out1, (uintptr_t)arg1);
}
/*
* Input Bounds:
* in0: [0x0 ~> 0x1]
* in1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* in2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out0: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static
void internal_fiat_25519_selectznz(uintptr_t out0, uintptr_t in0, uintptr_t in1, uintptr_t in2) {
uintptr_t x5, x10, x0, x11, x6, x13, x1, x14, x7, x16, x2, x17, x8, x19, x3, x20, x9, x22, x4, x23, x12, x15, x18, x21, x24, x25, x26, x27, x28, x29;
/*skip*/
x0 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(0))), sizeof(uintptr_t));
x1 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x2 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x3 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
x4 = _br2_load((in1)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
x5 = _br2_load((in2)+((uintptr_t)(UINTMAX_C(0))), sizeof(uintptr_t));
x6 = _br2_load((in2)+((uintptr_t)(UINTMAX_C(8))), sizeof(uintptr_t));
x7 = _br2_load((in2)+((uintptr_t)(UINTMAX_C(16))), sizeof(uintptr_t));
x8 = _br2_load((in2)+((uintptr_t)(UINTMAX_C(24))), sizeof(uintptr_t));
x9 = _br2_load((in2)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x10 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((in0)==((uintptr_t)(UINTMAX_C(0)))));
x11 = (x10)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x12 = ((x5)&(x10))|((x0)&(x11));
x13 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((in0)==((uintptr_t)(UINTMAX_C(0)))));
x14 = (x13)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x15 = ((x6)&(x13))|((x1)&(x14));
x16 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((in0)==((uintptr_t)(UINTMAX_C(0)))));
x17 = (x16)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x18 = ((x7)&(x16))|((x2)&(x17));
x19 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((in0)==((uintptr_t)(UINTMAX_C(0)))));
x20 = (x19)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x21 = ((x8)&(x19))|((x3)&(x20));
x22 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((in0)==((uintptr_t)(UINTMAX_C(0)))));
x23 = (x22)^((uintptr_t)(UINTMAX_C(18446744073709551615)));
x24 = ((x9)&(x22))|((x4)&(x23));
x25 = x12;
x26 = x15;
x27 = x18;
x28 = x21;
x29 = x24;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x25, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x26, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x27, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), x28, sizeof(uintptr_t));
_br2_store((out0)+((uintptr_t)(UINTMAX_C(32))), x29, sizeof(uintptr_t));
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_25519_selectznz(uint64_t out1[5], uint8_t arg1, const uint64_t arg2[5], const uint64_t arg3[5]) {
internal_fiat_25519_selectznz((uintptr_t)out1, (uintptr_t)arg1, (uintptr_t)arg2, (uintptr_t)arg3);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
* Output Bounds:
* out0: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]]
*/
static
void internal_fiat_25519_to_bytes(uintptr_t out0, uintptr_t in0) {
uintptr_t x0, x6, x5, x1, x8, x9, x10, x12, x13, x11, x2, x15, x16, x17, x19, x20, x18, x3, x22, x23, x24, x26, x27, x25, x4, x29, x30, x31, x33, x34, x32, x36, x7, x38, x39, x41, x14, x42, x43, x45, x44, x46, x48, x21, x49, x50, x52, x51, x53, x55, x28, x56, x57, x59, x58, x60, x62, x35, x63, x37, x64, x65, x61, x54, x47, x40, x71, x73, x75, x77, x79, x69, x81, x82, x84, x86, x88, x90, x92, x68, x94, x95, x97, x99, x101, x103, x105, x107, x67, x109, x110, x112, x114, x116, x118, x120, x66, x122, x123, x125, x127, x129, x131, x133, x70, x72, x74, x76, x78, x80, x83, x85, x87, x89, x91, x93, x96, x98, x100, x102, x104, x106, x108, x111, x113, x115, x117, x119, x121, x124, x126, x128, x130, x132, x134, x135, x136, x137, x138, x139, x140, x141, x142, x143, x144, x145, x146, x147, x148, x149, x150, x151, x152, x153, x154, x155, x156, x157, x158, x159, x160, x161, x162, x163, x164, x165, x166, x167;
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));
x4 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(32))), sizeof(uintptr_t));
/*skip*/
/*skip*/
x5 = (x0)-((uintptr_t)(UINTMAX_C(2251799813685229)));
x6 = (uintptr_t)((x0)<(x5));
x7 = (x5)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x8 = ((x6)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))))-((x5)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))));
x9 = (x1)-((uintptr_t)(UINTMAX_C(2251799813685247)));
x10 = (uintptr_t)((x1)<(x9));
x11 = (x9)-(x8);
x12 = (uintptr_t)((x9)<(x11));
x13 = (x10)+(x12);
x14 = (x11)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x15 = ((x13)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))))-((x11)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))));
x16 = (x2)-((uintptr_t)(UINTMAX_C(2251799813685247)));
x17 = (uintptr_t)((x2)<(x16));
x18 = (x16)-(x15);
x19 = (uintptr_t)((x16)<(x18));
x20 = (x17)+(x19);
x21 = (x18)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x22 = ((x20)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))))-((x18)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))));
x23 = (x3)-((uintptr_t)(UINTMAX_C(2251799813685247)));
x24 = (uintptr_t)((x3)<(x23));
x25 = (x23)-(x22);
x26 = (uintptr_t)((x23)<(x25));
x27 = (x24)+(x26);
x28 = (x25)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x29 = ((x27)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))))-((x25)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))));
x30 = (x4)-((uintptr_t)(UINTMAX_C(2251799813685247)));
x31 = (uintptr_t)((x4)<(x30));
x32 = (x30)-(x29);
x33 = (uintptr_t)((x30)<(x32));
x34 = (x31)+(x33);
x35 = (x32)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x36 = ((x34)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))))-((x32)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))));
x37 = ((uintptr_t)(UINTMAX_C(-1)))+((uintptr_t)((x36)==((uintptr_t)(UINTMAX_C(0)))));
x38 = (x7)+((x37)&((uintptr_t)(UINTMAX_C(2251799813685229))));
x39 = (uintptr_t)((x38)<(x7));
x40 = (x38)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x41 = ((x38)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+((x39)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x42 = (x41)+(x14);
x43 = (uintptr_t)((x42)<(x14));
x44 = (x42)+((x37)&((uintptr_t)(UINTMAX_C(2251799813685247))));
x45 = (uintptr_t)((x44)<((x37)&((uintptr_t)(UINTMAX_C(2251799813685247)))));
x46 = (x43)+(x45);
x47 = (x44)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x48 = ((x44)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+((x46)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x49 = (x48)+(x21);
x50 = (uintptr_t)((x49)<(x21));
x51 = (x49)+((x37)&((uintptr_t)(UINTMAX_C(2251799813685247))));
x52 = (uintptr_t)((x51)<((x37)&((uintptr_t)(UINTMAX_C(2251799813685247)))));
x53 = (x50)+(x52);
x54 = (x51)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x55 = ((x51)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+((x53)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x56 = (x55)+(x28);
x57 = (uintptr_t)((x56)<(x28));
x58 = (x56)+((x37)&((uintptr_t)(UINTMAX_C(2251799813685247))));
x59 = (uintptr_t)((x58)<((x37)&((uintptr_t)(UINTMAX_C(2251799813685247)))));
x60 = (x57)+(x59);
x61 = (x58)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x62 = ((x58)>>_br2_shamt((uintptr_t)(UINTMAX_C(51))))+((x60)<<_br2_shamt((uintptr_t)(UINTMAX_C(13))));
x63 = (x62)+(x35);
x64 = (x63)+((x37)&((uintptr_t)(UINTMAX_C(2251799813685247))));
x65 = (x64)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x66 = (x65)<<_br2_shamt((uintptr_t)(UINTMAX_C(4)));
x67 = (x61)*((uintptr_t)(UINTMAX_C(2)));
x68 = (x54)<<_br2_shamt((uintptr_t)(UINTMAX_C(6)));
x69 = (x47)<<_br2_shamt((uintptr_t)(UINTMAX_C(3)));
x70 = (x40)&((uintptr_t)(UINTMAX_C(255)));
x71 = (x40)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x72 = (x71)&((uintptr_t)(UINTMAX_C(255)));
x73 = (x71)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x74 = (x73)&((uintptr_t)(UINTMAX_C(255)));
x75 = (x73)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x76 = (x75)&((uintptr_t)(UINTMAX_C(255)));
x77 = (x75)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x78 = (x77)&((uintptr_t)(UINTMAX_C(255)));
x79 = (x77)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x80 = (x79)&((uintptr_t)(UINTMAX_C(255)));
x81 = (x79)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x82 = (x69)+(x81);
x83 = (x82)&((uintptr_t)(UINTMAX_C(255)));
x84 = (x82)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x85 = (x84)&((uintptr_t)(UINTMAX_C(255)));
x86 = (x84)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x87 = (x86)&((uintptr_t)(UINTMAX_C(255)));
x88 = (x86)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x89 = (x88)&((uintptr_t)(UINTMAX_C(255)));
x90 = (x88)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x91 = (x90)&((uintptr_t)(UINTMAX_C(255)));
x92 = (x90)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x93 = (x92)&((uintptr_t)(UINTMAX_C(255)));
x94 = (x92)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x95 = (x68)+(x94);
x96 = (x95)&((uintptr_t)(UINTMAX_C(255)));
x97 = (x95)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x98 = (x97)&((uintptr_t)(UINTMAX_C(255)));
x99 = (x97)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x100 = (x99)&((uintptr_t)(UINTMAX_C(255)));
x101 = (x99)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x102 = (x101)&((uintptr_t)(UINTMAX_C(255)));
x103 = (x101)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x104 = (x103)&((uintptr_t)(UINTMAX_C(255)));
x105 = (x103)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x106 = (x105)&((uintptr_t)(UINTMAX_C(255)));
x107 = (x105)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x108 = (x107)&((uintptr_t)(UINTMAX_C(255)));
x109 = (x107)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x110 = (x67)+(x109);
x111 = (x110)&((uintptr_t)(UINTMAX_C(255)));
x112 = (x110)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x113 = (x112)&((uintptr_t)(UINTMAX_C(255)));
x114 = (x112)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x115 = (x114)&((uintptr_t)(UINTMAX_C(255)));
x116 = (x114)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x117 = (x116)&((uintptr_t)(UINTMAX_C(255)));
x118 = (x116)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x119 = (x118)&((uintptr_t)(UINTMAX_C(255)));
x120 = (x118)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x121 = (x120)&((uintptr_t)(UINTMAX_C(255)));
x122 = (x120)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x123 = (x66)+(x122);
x124 = (x123)&((uintptr_t)(UINTMAX_C(255)));
x125 = (x123)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x126 = (x125)&((uintptr_t)(UINTMAX_C(255)));
x127 = (x125)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x128 = (x127)&((uintptr_t)(UINTMAX_C(255)));
x129 = (x127)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x130 = (x129)&((uintptr_t)(UINTMAX_C(255)));
x131 = (x129)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x132 = (x131)&((uintptr_t)(UINTMAX_C(255)));
x133 = (x131)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x134 = (x133)&((uintptr_t)(UINTMAX_C(255)));
x135 = (x133)>>_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x136 = x70;
x137 = x72;
x138 = x74;
x139 = x76;
x140 = x78;
x141 = x80;
x142 = x83;
x143 = x85;
x144 = x87;
x145 = x89;
x146 = x91;
x147 = x93;
x148 = x96;
x149 = x98;
x150 = x100;
x151 = x102;
x152 = x104;
x153 = x106;
x154 = x108;
x155 = x111;
x156 = x113;
x157 = x115;
x158 = x117;
x159 = x119;
x160 = x121;
x161 = x124;
x162 = x126;
x163 = x128;
x164 = x130;
x165 = x132;
x166 = x134;
x167 = x135;
/*skip*/
_br2_store((out0)+((uintptr_t)(UINTMAX_C(0))), x136, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(1))), x137, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(2))), x138, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(3))), x139, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(4))), x140, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(5))), x141, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(6))), x142, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(7))), x143, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(8))), x144, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(9))), x145, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(10))), x146, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(11))), x147, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(12))), x148, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(13))), x149, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(14))), x150, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(15))), x151, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(16))), x152, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(17))), x153, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(18))), x154, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(19))), x155, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(20))), x156, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(21))), x157, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(22))), x158, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(23))), x159, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(24))), x160, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(25))), x161, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(26))), x162, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(27))), x163, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(28))), x164, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(29))), x165, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(30))), x166, 1);
_br2_store((out0)+((uintptr_t)(UINTMAX_C(31))), x167, 1);
/*skip*/
return;
}
/* NOTE: The following wrapper function is not covered by Coq proofs */
static void fiat_25519_to_bytes(uint8_t out1[32], const uint64_t arg1[5]) {
internal_fiat_25519_to_bytes((uintptr_t)out1, (uintptr_t)arg1);
}
/*
* Input Bounds:
* in0: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0x7f]]
* Output Bounds:
* out0: [[0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000], [0x0 ~> 0x8000000000000]]
*/
static
void internal_fiat_25519_from_bytes(uintptr_t out0, uintptr_t in0) {
uintptr_t x31, x30, x29, x28, x27, x26, x25, x24, x23, x22, x21, x20, x19, x18, x17, x16, x15, x14, x13, x12, x11, x10, x9, x8, x7, x6, x5, x4, x3, x2, x1, x0, x62, x63, x61, x64, x60, x65, x59, x66, x58, x67, x57, x68, x69, x56, x71, x55, x72, x54, x73, x53, x74, x52, x75, x51, x76, x77, x50, x79, x49, x80, x48, x81, x47, x82, x46, x83, x45, x84, x44, x85, x86, x43, x88, x42, x89, x41, x90, x40, x91, x39, x92, x38, x93, x94, x37, x96, x36, x97, x35, x98, x34, x99, x33, x100, x32, x101, x70, x78, x87, x95, x102, x103, x104, x105, x106, x107;
x0 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(0))), 1);
x1 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(1))), 1);
x2 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(2))), 1);
x3 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(3))), 1);
x4 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(4))), 1);
x5 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(5))), 1);
x6 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(6))), 1);
x7 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(7))), 1);
x8 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(8))), 1);
x9 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(9))), 1);
x10 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(10))), 1);
x11 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(11))), 1);
x12 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(12))), 1);
x13 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(13))), 1);
x14 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(14))), 1);
x15 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(15))), 1);
x16 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(16))), 1);
x17 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(17))), 1);
x18 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(18))), 1);
x19 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(19))), 1);
x20 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(20))), 1);
x21 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(21))), 1);
x22 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(22))), 1);
x23 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(23))), 1);
x24 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(24))), 1);
x25 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(25))), 1);
x26 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(26))), 1);
x27 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(27))), 1);
x28 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(28))), 1);
x29 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(29))), 1);
x30 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(30))), 1);
x31 = _br2_load((in0)+((uintptr_t)(UINTMAX_C(31))), 1);
/*skip*/
/*skip*/
x32 = (x31)<<_br2_shamt((uintptr_t)(UINTMAX_C(44)));
x33 = (x30)<<_br2_shamt((uintptr_t)(UINTMAX_C(36)));
x34 = (x29)<<_br2_shamt((uintptr_t)(UINTMAX_C(28)));
x35 = (x28)<<_br2_shamt((uintptr_t)(UINTMAX_C(20)));
x36 = (x27)<<_br2_shamt((uintptr_t)(UINTMAX_C(12)));
x37 = (x26)<<_br2_shamt((uintptr_t)(UINTMAX_C(4)));
x38 = (x25)<<_br2_shamt((uintptr_t)(UINTMAX_C(47)));
x39 = (x24)<<_br2_shamt((uintptr_t)(UINTMAX_C(39)));
x40 = (x23)<<_br2_shamt((uintptr_t)(UINTMAX_C(31)));
x41 = (x22)<<_br2_shamt((uintptr_t)(UINTMAX_C(23)));
x42 = (x21)<<_br2_shamt((uintptr_t)(UINTMAX_C(15)));
x43 = (x20)<<_br2_shamt((uintptr_t)(UINTMAX_C(7)));
x44 = (x19)<<_br2_shamt((uintptr_t)(UINTMAX_C(50)));
x45 = (x18)<<_br2_shamt((uintptr_t)(UINTMAX_C(42)));
x46 = (x17)<<_br2_shamt((uintptr_t)(UINTMAX_C(34)));
x47 = (x16)<<_br2_shamt((uintptr_t)(UINTMAX_C(26)));
x48 = (x15)<<_br2_shamt((uintptr_t)(UINTMAX_C(18)));
x49 = (x14)<<_br2_shamt((uintptr_t)(UINTMAX_C(10)));
x50 = (x13)<<_br2_shamt((uintptr_t)(UINTMAX_C(2)));
x51 = (x12)<<_br2_shamt((uintptr_t)(UINTMAX_C(45)));
x52 = (x11)<<_br2_shamt((uintptr_t)(UINTMAX_C(37)));
x53 = (x10)<<_br2_shamt((uintptr_t)(UINTMAX_C(29)));
x54 = (x9)<<_br2_shamt((uintptr_t)(UINTMAX_C(21)));
x55 = (x8)<<_br2_shamt((uintptr_t)(UINTMAX_C(13)));
x56 = (x7)<<_br2_shamt((uintptr_t)(UINTMAX_C(5)));
x57 = (x6)<<_br2_shamt((uintptr_t)(UINTMAX_C(48)));
x58 = (x5)<<_br2_shamt((uintptr_t)(UINTMAX_C(40)));
x59 = (x4)<<_br2_shamt((uintptr_t)(UINTMAX_C(32)));
x60 = (x3)<<_br2_shamt((uintptr_t)(UINTMAX_C(24)));
x61 = (x2)<<_br2_shamt((uintptr_t)(UINTMAX_C(16)));
x62 = (x1)<<_br2_shamt((uintptr_t)(UINTMAX_C(8)));
x63 = x0;
x64 = (x62)+(x63);
x65 = (x61)+(x64);
x66 = (x60)+(x65);
x67 = (x59)+(x66);
x68 = (x58)+(x67);
x69 = (x57)+(x68);
x70 = (x69)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x71 = (x69)>>_br2_shamt((uintptr_t)(UINTMAX_C(51)));
x72 = (x56)+(x71);
x73 = (x55)+(x72);
x74 = (x54)+(x73);
x75 = (x53)+(x74);
x76 = (x52)+(x75);
x77 = (x51)+(x76);
x78 = (x77)&((uintptr_t)(UINTMAX_C(2251799813685247)));
x79 = (x77)>>_br2_shamt((uintptr_t)(UINTMAX_C(51)));
x80 = (x50)+(x79);
x81 = (x49)+(x80);
x82 = (x48)+(x81);
x83 = (x47)+(x82);
x84 = (x46)+(x83);
x85 = (x45)+(x84);
x86 = (x44)+(x85);
x87 = (x86)&((uintptr_t)(UINTMAX_C(2251799813685247)));