https://github.com/mit-plv/fiat-crypto
Tip revision: 0b1ebe16c40ae1bb3a37ee4b09a88ac177df1dc7 authored by Jason Gross on 28 June 2021, 17:28:42 UTC
Fix perf.csv generation
Fix perf.csv generation
Tip revision: 0b1ebe1
p256_64.c
/* Autogenerated */
/* curve description: p256 */
/* requested operations: (all) */
/* m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1") */
/* machine_wordsize = 64 (from "64") */
/* */
/* 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. */
#include <stdint.h>
typedef unsigned char fiat_p256_uint1;
typedef signed char fiat_p256_int1;
typedef signed __int128 fiat_p256_int128;
typedef unsigned __int128 fiat_p256_uint128;
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
/*
* The function fiat_p256_addcarryx_u64 is an addition with carry.
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^64
* out2 = ⌊(arg1 + arg2 + arg3) / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffffffffffff]
* arg3: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static void fiat_p256_addcarryx_u64(uint64_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_p256_uint128 x1 = ((arg1 + (fiat_p256_uint128)arg2) + arg3);
uint64_t x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
fiat_p256_uint1 x3 = (fiat_p256_uint1)(x1 >> 64);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p256_subborrowx_u64 is a subtraction with borrow.
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^64
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffffffffffff]
* arg3: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0x1]
*/
static void fiat_p256_subborrowx_u64(uint64_t* out1, fiat_p256_uint1* out2, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_p256_int128 x1 = ((arg2 - (fiat_p256_int128)arg1) - arg3);
fiat_p256_int1 x2 = (fiat_p256_int1)(x1 >> 64);
uint64_t x3 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
*out1 = x3;
*out2 = (fiat_p256_uint1)(0x0 - x2);
}
/*
* The function fiat_p256_mulx_u64 is a multiplication, returning the full double-width result.
* Postconditions:
* out1 = (arg1 * arg2) mod 2^64
* out2 = ⌊arg1 * arg2 / 2^64⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0xffffffffffffffff]
* arg2: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
* out2: [0x0 ~> 0xffffffffffffffff]
*/
static void fiat_p256_mulx_u64(uint64_t* out1, uint64_t* out2, uint64_t arg1, uint64_t arg2) {
fiat_p256_uint128 x1 = ((fiat_p256_uint128)arg1 * arg2);
uint64_t x2 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
uint64_t x3 = (uint64_t)(x1 >> 64);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_p256_cmovznz_u64 is a single-word conditional move.
* Postconditions:
* out1 = (if arg1 = 0 then arg2 else arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffffffffffff]
* arg3: [0x0 ~> 0xffffffffffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
*/
static void fiat_p256_cmovznz_u64(uint64_t* out1, fiat_p256_uint1 arg1, uint64_t arg2, uint64_t arg3) {
fiat_p256_uint1 x1 = (!(!arg1));
uint64_t x2 = ((fiat_p256_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff));
uint64_t x3 = ((x2 & arg3) | ((~x2) & arg2));
*out1 = x3;
}
/*
* The function fiat_p256_mul multiplies two field elements in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_p256_mul(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
uint64_t x1 = (arg1[1]);
uint64_t x2 = (arg1[2]);
uint64_t x3 = (arg1[3]);
uint64_t x4 = (arg1[0]);
uint64_t x5;
uint64_t x6;
fiat_p256_mulx_u64(&x5, &x6, x4, (arg2[3]));
uint64_t x7;
uint64_t x8;
fiat_p256_mulx_u64(&x7, &x8, x4, (arg2[2]));
uint64_t x9;
uint64_t x10;
fiat_p256_mulx_u64(&x9, &x10, x4, (arg2[1]));
uint64_t x11;
uint64_t x12;
fiat_p256_mulx_u64(&x11, &x12, x4, (arg2[0]));
uint64_t x13;
fiat_p256_uint1 x14;
fiat_p256_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
uint64_t x15;
fiat_p256_uint1 x16;
fiat_p256_addcarryx_u64(&x15, &x16, x14, x10, x7);
uint64_t x17;
fiat_p256_uint1 x18;
fiat_p256_addcarryx_u64(&x17, &x18, x16, x8, x5);
uint64_t x19;
fiat_p256_uint1 x20;
fiat_p256_addcarryx_u64(&x19, &x20, x18, x6, 0x0);
uint64_t x21;
uint64_t x22;
fiat_p256_mulx_u64(&x21, &x22, x11, UINT64_C(0xffffffff00000001));
uint64_t x23;
uint64_t x24;
fiat_p256_mulx_u64(&x23, &x24, x11, UINT32_C(0xffffffff));
uint64_t x25;
uint64_t x26;
fiat_p256_mulx_u64(&x25, &x26, x11, UINT64_C(0xffffffffffffffff));
uint64_t x27;
fiat_p256_uint1 x28;
fiat_p256_addcarryx_u64(&x27, &x28, 0x0, x26, x23);
uint64_t x29;
fiat_p256_uint1 x30;
fiat_p256_addcarryx_u64(&x29, &x30, x28, x24, 0x0);
uint64_t x31;
fiat_p256_uint1 x32;
fiat_p256_addcarryx_u64(&x31, &x32, 0x0, x11, x25);
uint64_t x33;
fiat_p256_uint1 x34;
fiat_p256_addcarryx_u64(&x33, &x34, x32, x13, x27);
uint64_t x35;
fiat_p256_uint1 x36;
fiat_p256_addcarryx_u64(&x35, &x36, x34, x15, x29);
uint64_t x37;
fiat_p256_uint1 x38;
fiat_p256_addcarryx_u64(&x37, &x38, x36, x17, x21);
uint64_t x39;
fiat_p256_uint1 x40;
fiat_p256_addcarryx_u64(&x39, &x40, x38, x19, x22);
uint64_t x41;
fiat_p256_uint1 x42;
fiat_p256_addcarryx_u64(&x41, &x42, x40, 0x0, 0x0);
uint64_t x43;
uint64_t x44;
fiat_p256_mulx_u64(&x43, &x44, x1, (arg2[3]));
uint64_t x45;
uint64_t x46;
fiat_p256_mulx_u64(&x45, &x46, x1, (arg2[2]));
uint64_t x47;
uint64_t x48;
fiat_p256_mulx_u64(&x47, &x48, x1, (arg2[1]));
uint64_t x49;
uint64_t x50;
fiat_p256_mulx_u64(&x49, &x50, x1, (arg2[0]));
uint64_t x51;
fiat_p256_uint1 x52;
fiat_p256_addcarryx_u64(&x51, &x52, 0x0, x50, x47);
uint64_t x53;
fiat_p256_uint1 x54;
fiat_p256_addcarryx_u64(&x53, &x54, x52, x48, x45);
uint64_t x55;
fiat_p256_uint1 x56;
fiat_p256_addcarryx_u64(&x55, &x56, x54, x46, x43);
uint64_t x57;
fiat_p256_uint1 x58;
fiat_p256_addcarryx_u64(&x57, &x58, x56, x44, 0x0);
uint64_t x59;
fiat_p256_uint1 x60;
fiat_p256_addcarryx_u64(&x59, &x60, 0x0, x33, x49);
uint64_t x61;
fiat_p256_uint1 x62;
fiat_p256_addcarryx_u64(&x61, &x62, x60, x35, x51);
uint64_t x63;
fiat_p256_uint1 x64;
fiat_p256_addcarryx_u64(&x63, &x64, x62, x37, x53);
uint64_t x65;
fiat_p256_uint1 x66;
fiat_p256_addcarryx_u64(&x65, &x66, x64, x39, x55);
uint64_t x67;
fiat_p256_uint1 x68;
fiat_p256_addcarryx_u64(&x67, &x68, x66, (fiat_p256_uint1)x41, x57);
uint64_t x69;
uint64_t x70;
fiat_p256_mulx_u64(&x69, &x70, x59, UINT64_C(0xffffffff00000001));
uint64_t x71;
uint64_t x72;
fiat_p256_mulx_u64(&x71, &x72, x59, UINT32_C(0xffffffff));
uint64_t x73;
uint64_t x74;
fiat_p256_mulx_u64(&x73, &x74, x59, UINT64_C(0xffffffffffffffff));
uint64_t x75;
fiat_p256_uint1 x76;
fiat_p256_addcarryx_u64(&x75, &x76, 0x0, x74, x71);
uint64_t x77;
fiat_p256_uint1 x78;
fiat_p256_addcarryx_u64(&x77, &x78, x76, x72, 0x0);
uint64_t x79;
fiat_p256_uint1 x80;
fiat_p256_addcarryx_u64(&x79, &x80, 0x0, x59, x73);
uint64_t x81;
fiat_p256_uint1 x82;
fiat_p256_addcarryx_u64(&x81, &x82, x80, x61, x75);
uint64_t x83;
fiat_p256_uint1 x84;
fiat_p256_addcarryx_u64(&x83, &x84, x82, x63, x77);
uint64_t x85;
fiat_p256_uint1 x86;
fiat_p256_addcarryx_u64(&x85, &x86, x84, x65, x69);
uint64_t x87;
fiat_p256_uint1 x88;
fiat_p256_addcarryx_u64(&x87, &x88, x86, x67, x70);
uint64_t x89;
fiat_p256_uint1 x90;
fiat_p256_addcarryx_u64(&x89, &x90, x88, x68, 0x0);
uint64_t x91;
uint64_t x92;
fiat_p256_mulx_u64(&x91, &x92, x2, (arg2[3]));
uint64_t x93;
uint64_t x94;
fiat_p256_mulx_u64(&x93, &x94, x2, (arg2[2]));
uint64_t x95;
uint64_t x96;
fiat_p256_mulx_u64(&x95, &x96, x2, (arg2[1]));
uint64_t x97;
uint64_t x98;
fiat_p256_mulx_u64(&x97, &x98, x2, (arg2[0]));
uint64_t x99;
fiat_p256_uint1 x100;
fiat_p256_addcarryx_u64(&x99, &x100, 0x0, x98, x95);
uint64_t x101;
fiat_p256_uint1 x102;
fiat_p256_addcarryx_u64(&x101, &x102, x100, x96, x93);
uint64_t x103;
fiat_p256_uint1 x104;
fiat_p256_addcarryx_u64(&x103, &x104, x102, x94, x91);
uint64_t x105;
fiat_p256_uint1 x106;
fiat_p256_addcarryx_u64(&x105, &x106, x104, x92, 0x0);
uint64_t x107;
fiat_p256_uint1 x108;
fiat_p256_addcarryx_u64(&x107, &x108, 0x0, x81, x97);
uint64_t x109;
fiat_p256_uint1 x110;
fiat_p256_addcarryx_u64(&x109, &x110, x108, x83, x99);
uint64_t x111;
fiat_p256_uint1 x112;
fiat_p256_addcarryx_u64(&x111, &x112, x110, x85, x101);
uint64_t x113;
fiat_p256_uint1 x114;
fiat_p256_addcarryx_u64(&x113, &x114, x112, x87, x103);
uint64_t x115;
fiat_p256_uint1 x116;
fiat_p256_addcarryx_u64(&x115, &x116, x114, x89, x105);
uint64_t x117;
uint64_t x118;
fiat_p256_mulx_u64(&x117, &x118, x107, UINT64_C(0xffffffff00000001));
uint64_t x119;
uint64_t x120;
fiat_p256_mulx_u64(&x119, &x120, x107, UINT32_C(0xffffffff));
uint64_t x121;
uint64_t x122;
fiat_p256_mulx_u64(&x121, &x122, x107, UINT64_C(0xffffffffffffffff));
uint64_t x123;
fiat_p256_uint1 x124;
fiat_p256_addcarryx_u64(&x123, &x124, 0x0, x122, x119);
uint64_t x125;
fiat_p256_uint1 x126;
fiat_p256_addcarryx_u64(&x125, &x126, x124, x120, 0x0);
uint64_t x127;
fiat_p256_uint1 x128;
fiat_p256_addcarryx_u64(&x127, &x128, 0x0, x107, x121);
uint64_t x129;
fiat_p256_uint1 x130;
fiat_p256_addcarryx_u64(&x129, &x130, x128, x109, x123);
uint64_t x131;
fiat_p256_uint1 x132;
fiat_p256_addcarryx_u64(&x131, &x132, x130, x111, x125);
uint64_t x133;
fiat_p256_uint1 x134;
fiat_p256_addcarryx_u64(&x133, &x134, x132, x113, x117);
uint64_t x135;
fiat_p256_uint1 x136;
fiat_p256_addcarryx_u64(&x135, &x136, x134, x115, x118);
uint64_t x137;
fiat_p256_uint1 x138;
fiat_p256_addcarryx_u64(&x137, &x138, x136, x116, 0x0);
uint64_t x139;
uint64_t x140;
fiat_p256_mulx_u64(&x139, &x140, x3, (arg2[3]));
uint64_t x141;
uint64_t x142;
fiat_p256_mulx_u64(&x141, &x142, x3, (arg2[2]));
uint64_t x143;
uint64_t x144;
fiat_p256_mulx_u64(&x143, &x144, x3, (arg2[1]));
uint64_t x145;
uint64_t x146;
fiat_p256_mulx_u64(&x145, &x146, x3, (arg2[0]));
uint64_t x147;
fiat_p256_uint1 x148;
fiat_p256_addcarryx_u64(&x147, &x148, 0x0, x146, x143);
uint64_t x149;
fiat_p256_uint1 x150;
fiat_p256_addcarryx_u64(&x149, &x150, x148, x144, x141);
uint64_t x151;
fiat_p256_uint1 x152;
fiat_p256_addcarryx_u64(&x151, &x152, x150, x142, x139);
uint64_t x153;
fiat_p256_uint1 x154;
fiat_p256_addcarryx_u64(&x153, &x154, x152, x140, 0x0);
uint64_t x155;
fiat_p256_uint1 x156;
fiat_p256_addcarryx_u64(&x155, &x156, 0x0, x129, x145);
uint64_t x157;
fiat_p256_uint1 x158;
fiat_p256_addcarryx_u64(&x157, &x158, x156, x131, x147);
uint64_t x159;
fiat_p256_uint1 x160;
fiat_p256_addcarryx_u64(&x159, &x160, x158, x133, x149);
uint64_t x161;
fiat_p256_uint1 x162;
fiat_p256_addcarryx_u64(&x161, &x162, x160, x135, x151);
uint64_t x163;
fiat_p256_uint1 x164;
fiat_p256_addcarryx_u64(&x163, &x164, x162, x137, x153);
uint64_t x165;
uint64_t x166;
fiat_p256_mulx_u64(&x165, &x166, x155, UINT64_C(0xffffffff00000001));
uint64_t x167;
uint64_t x168;
fiat_p256_mulx_u64(&x167, &x168, x155, UINT32_C(0xffffffff));
uint64_t x169;
uint64_t x170;
fiat_p256_mulx_u64(&x169, &x170, x155, UINT64_C(0xffffffffffffffff));
uint64_t x171;
fiat_p256_uint1 x172;
fiat_p256_addcarryx_u64(&x171, &x172, 0x0, x170, x167);
uint64_t x173;
fiat_p256_uint1 x174;
fiat_p256_addcarryx_u64(&x173, &x174, x172, x168, 0x0);
uint64_t x175;
fiat_p256_uint1 x176;
fiat_p256_addcarryx_u64(&x175, &x176, 0x0, x155, x169);
uint64_t x177;
fiat_p256_uint1 x178;
fiat_p256_addcarryx_u64(&x177, &x178, x176, x157, x171);
uint64_t x179;
fiat_p256_uint1 x180;
fiat_p256_addcarryx_u64(&x179, &x180, x178, x159, x173);
uint64_t x181;
fiat_p256_uint1 x182;
fiat_p256_addcarryx_u64(&x181, &x182, x180, x161, x165);
uint64_t x183;
fiat_p256_uint1 x184;
fiat_p256_addcarryx_u64(&x183, &x184, x182, x163, x166);
uint64_t x185;
fiat_p256_uint1 x186;
fiat_p256_addcarryx_u64(&x185, &x186, x184, x164, 0x0);
uint64_t x187;
fiat_p256_uint1 x188;
fiat_p256_subborrowx_u64(&x187, &x188, 0x0, x177, UINT64_C(0xffffffffffffffff));
uint64_t x189;
fiat_p256_uint1 x190;
fiat_p256_subborrowx_u64(&x189, &x190, x188, x179, UINT32_C(0xffffffff));
uint64_t x191;
fiat_p256_uint1 x192;
fiat_p256_subborrowx_u64(&x191, &x192, x190, x181, 0x0);
uint64_t x193;
fiat_p256_uint1 x194;
fiat_p256_subborrowx_u64(&x193, &x194, x192, x183, UINT64_C(0xffffffff00000001));
uint64_t x195;
fiat_p256_uint1 x196;
fiat_p256_subborrowx_u64(&x195, &x196, x194, x185, 0x0);
uint64_t x197;
fiat_p256_cmovznz_u64(&x197, x196, x187, x177);
uint64_t x198;
fiat_p256_cmovznz_u64(&x198, x196, x189, x179);
uint64_t x199;
fiat_p256_cmovznz_u64(&x199, x196, x191, x181);
uint64_t x200;
fiat_p256_cmovznz_u64(&x200, x196, x193, x183);
out1[0] = x197;
out1[1] = x198;
out1[2] = x199;
out1[3] = x200;
}
/*
* The function fiat_p256_square squares a field element in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_p256_square(uint64_t out1[4], const uint64_t arg1[4]) {
uint64_t x1 = (arg1[1]);
uint64_t x2 = (arg1[2]);
uint64_t x3 = (arg1[3]);
uint64_t x4 = (arg1[0]);
uint64_t x5;
uint64_t x6;
fiat_p256_mulx_u64(&x5, &x6, x4, (arg1[3]));
uint64_t x7;
uint64_t x8;
fiat_p256_mulx_u64(&x7, &x8, x4, (arg1[2]));
uint64_t x9;
uint64_t x10;
fiat_p256_mulx_u64(&x9, &x10, x4, (arg1[1]));
uint64_t x11;
uint64_t x12;
fiat_p256_mulx_u64(&x11, &x12, x4, (arg1[0]));
uint64_t x13;
fiat_p256_uint1 x14;
fiat_p256_addcarryx_u64(&x13, &x14, 0x0, x12, x9);
uint64_t x15;
fiat_p256_uint1 x16;
fiat_p256_addcarryx_u64(&x15, &x16, x14, x10, x7);
uint64_t x17;
fiat_p256_uint1 x18;
fiat_p256_addcarryx_u64(&x17, &x18, x16, x8, x5);
uint64_t x19;
fiat_p256_uint1 x20;
fiat_p256_addcarryx_u64(&x19, &x20, x18, x6, 0x0);
uint64_t x21;
uint64_t x22;
fiat_p256_mulx_u64(&x21, &x22, x11, UINT64_C(0xffffffff00000001));
uint64_t x23;
uint64_t x24;
fiat_p256_mulx_u64(&x23, &x24, x11, UINT32_C(0xffffffff));
uint64_t x25;
uint64_t x26;
fiat_p256_mulx_u64(&x25, &x26, x11, UINT64_C(0xffffffffffffffff));
uint64_t x27;
fiat_p256_uint1 x28;
fiat_p256_addcarryx_u64(&x27, &x28, 0x0, x26, x23);
uint64_t x29;
fiat_p256_uint1 x30;
fiat_p256_addcarryx_u64(&x29, &x30, x28, x24, 0x0);
uint64_t x31;
fiat_p256_uint1 x32;
fiat_p256_addcarryx_u64(&x31, &x32, 0x0, x11, x25);
uint64_t x33;
fiat_p256_uint1 x34;
fiat_p256_addcarryx_u64(&x33, &x34, x32, x13, x27);
uint64_t x35;
fiat_p256_uint1 x36;
fiat_p256_addcarryx_u64(&x35, &x36, x34, x15, x29);
uint64_t x37;
fiat_p256_uint1 x38;
fiat_p256_addcarryx_u64(&x37, &x38, x36, x17, x21);
uint64_t x39;
fiat_p256_uint1 x40;
fiat_p256_addcarryx_u64(&x39, &x40, x38, x19, x22);
uint64_t x41;
fiat_p256_uint1 x42;
fiat_p256_addcarryx_u64(&x41, &x42, x40, 0x0, 0x0);
uint64_t x43;
uint64_t x44;
fiat_p256_mulx_u64(&x43, &x44, x1, (arg1[3]));
uint64_t x45;
uint64_t x46;
fiat_p256_mulx_u64(&x45, &x46, x1, (arg1[2]));
uint64_t x47;
uint64_t x48;
fiat_p256_mulx_u64(&x47, &x48, x1, (arg1[1]));
uint64_t x49;
uint64_t x50;
fiat_p256_mulx_u64(&x49, &x50, x1, (arg1[0]));
uint64_t x51;
fiat_p256_uint1 x52;
fiat_p256_addcarryx_u64(&x51, &x52, 0x0, x50, x47);
uint64_t x53;
fiat_p256_uint1 x54;
fiat_p256_addcarryx_u64(&x53, &x54, x52, x48, x45);
uint64_t x55;
fiat_p256_uint1 x56;
fiat_p256_addcarryx_u64(&x55, &x56, x54, x46, x43);
uint64_t x57;
fiat_p256_uint1 x58;
fiat_p256_addcarryx_u64(&x57, &x58, x56, x44, 0x0);
uint64_t x59;
fiat_p256_uint1 x60;
fiat_p256_addcarryx_u64(&x59, &x60, 0x0, x33, x49);
uint64_t x61;
fiat_p256_uint1 x62;
fiat_p256_addcarryx_u64(&x61, &x62, x60, x35, x51);
uint64_t x63;
fiat_p256_uint1 x64;
fiat_p256_addcarryx_u64(&x63, &x64, x62, x37, x53);
uint64_t x65;
fiat_p256_uint1 x66;
fiat_p256_addcarryx_u64(&x65, &x66, x64, x39, x55);
uint64_t x67;
fiat_p256_uint1 x68;
fiat_p256_addcarryx_u64(&x67, &x68, x66, (fiat_p256_uint1)x41, x57);
uint64_t x69;
uint64_t x70;
fiat_p256_mulx_u64(&x69, &x70, x59, UINT64_C(0xffffffff00000001));
uint64_t x71;
uint64_t x72;
fiat_p256_mulx_u64(&x71, &x72, x59, UINT32_C(0xffffffff));
uint64_t x73;
uint64_t x74;
fiat_p256_mulx_u64(&x73, &x74, x59, UINT64_C(0xffffffffffffffff));
uint64_t x75;
fiat_p256_uint1 x76;
fiat_p256_addcarryx_u64(&x75, &x76, 0x0, x74, x71);
uint64_t x77;
fiat_p256_uint1 x78;
fiat_p256_addcarryx_u64(&x77, &x78, x76, x72, 0x0);
uint64_t x79;
fiat_p256_uint1 x80;
fiat_p256_addcarryx_u64(&x79, &x80, 0x0, x59, x73);
uint64_t x81;
fiat_p256_uint1 x82;
fiat_p256_addcarryx_u64(&x81, &x82, x80, x61, x75);
uint64_t x83;
fiat_p256_uint1 x84;
fiat_p256_addcarryx_u64(&x83, &x84, x82, x63, x77);
uint64_t x85;
fiat_p256_uint1 x86;
fiat_p256_addcarryx_u64(&x85, &x86, x84, x65, x69);
uint64_t x87;
fiat_p256_uint1 x88;
fiat_p256_addcarryx_u64(&x87, &x88, x86, x67, x70);
uint64_t x89;
fiat_p256_uint1 x90;
fiat_p256_addcarryx_u64(&x89, &x90, x88, x68, 0x0);
uint64_t x91;
uint64_t x92;
fiat_p256_mulx_u64(&x91, &x92, x2, (arg1[3]));
uint64_t x93;
uint64_t x94;
fiat_p256_mulx_u64(&x93, &x94, x2, (arg1[2]));
uint64_t x95;
uint64_t x96;
fiat_p256_mulx_u64(&x95, &x96, x2, (arg1[1]));
uint64_t x97;
uint64_t x98;
fiat_p256_mulx_u64(&x97, &x98, x2, (arg1[0]));
uint64_t x99;
fiat_p256_uint1 x100;
fiat_p256_addcarryx_u64(&x99, &x100, 0x0, x98, x95);
uint64_t x101;
fiat_p256_uint1 x102;
fiat_p256_addcarryx_u64(&x101, &x102, x100, x96, x93);
uint64_t x103;
fiat_p256_uint1 x104;
fiat_p256_addcarryx_u64(&x103, &x104, x102, x94, x91);
uint64_t x105;
fiat_p256_uint1 x106;
fiat_p256_addcarryx_u64(&x105, &x106, x104, x92, 0x0);
uint64_t x107;
fiat_p256_uint1 x108;
fiat_p256_addcarryx_u64(&x107, &x108, 0x0, x81, x97);
uint64_t x109;
fiat_p256_uint1 x110;
fiat_p256_addcarryx_u64(&x109, &x110, x108, x83, x99);
uint64_t x111;
fiat_p256_uint1 x112;
fiat_p256_addcarryx_u64(&x111, &x112, x110, x85, x101);
uint64_t x113;
fiat_p256_uint1 x114;
fiat_p256_addcarryx_u64(&x113, &x114, x112, x87, x103);
uint64_t x115;
fiat_p256_uint1 x116;
fiat_p256_addcarryx_u64(&x115, &x116, x114, x89, x105);
uint64_t x117;
uint64_t x118;
fiat_p256_mulx_u64(&x117, &x118, x107, UINT64_C(0xffffffff00000001));
uint64_t x119;
uint64_t x120;
fiat_p256_mulx_u64(&x119, &x120, x107, UINT32_C(0xffffffff));
uint64_t x121;
uint64_t x122;
fiat_p256_mulx_u64(&x121, &x122, x107, UINT64_C(0xffffffffffffffff));
uint64_t x123;
fiat_p256_uint1 x124;
fiat_p256_addcarryx_u64(&x123, &x124, 0x0, x122, x119);
uint64_t x125;
fiat_p256_uint1 x126;
fiat_p256_addcarryx_u64(&x125, &x126, x124, x120, 0x0);
uint64_t x127;
fiat_p256_uint1 x128;
fiat_p256_addcarryx_u64(&x127, &x128, 0x0, x107, x121);
uint64_t x129;
fiat_p256_uint1 x130;
fiat_p256_addcarryx_u64(&x129, &x130, x128, x109, x123);
uint64_t x131;
fiat_p256_uint1 x132;
fiat_p256_addcarryx_u64(&x131, &x132, x130, x111, x125);
uint64_t x133;
fiat_p256_uint1 x134;
fiat_p256_addcarryx_u64(&x133, &x134, x132, x113, x117);
uint64_t x135;
fiat_p256_uint1 x136;
fiat_p256_addcarryx_u64(&x135, &x136, x134, x115, x118);
uint64_t x137;
fiat_p256_uint1 x138;
fiat_p256_addcarryx_u64(&x137, &x138, x136, x116, 0x0);
uint64_t x139;
uint64_t x140;
fiat_p256_mulx_u64(&x139, &x140, x3, (arg1[3]));
uint64_t x141;
uint64_t x142;
fiat_p256_mulx_u64(&x141, &x142, x3, (arg1[2]));
uint64_t x143;
uint64_t x144;
fiat_p256_mulx_u64(&x143, &x144, x3, (arg1[1]));
uint64_t x145;
uint64_t x146;
fiat_p256_mulx_u64(&x145, &x146, x3, (arg1[0]));
uint64_t x147;
fiat_p256_uint1 x148;
fiat_p256_addcarryx_u64(&x147, &x148, 0x0, x146, x143);
uint64_t x149;
fiat_p256_uint1 x150;
fiat_p256_addcarryx_u64(&x149, &x150, x148, x144, x141);
uint64_t x151;
fiat_p256_uint1 x152;
fiat_p256_addcarryx_u64(&x151, &x152, x150, x142, x139);
uint64_t x153;
fiat_p256_uint1 x154;
fiat_p256_addcarryx_u64(&x153, &x154, x152, x140, 0x0);
uint64_t x155;
fiat_p256_uint1 x156;
fiat_p256_addcarryx_u64(&x155, &x156, 0x0, x129, x145);
uint64_t x157;
fiat_p256_uint1 x158;
fiat_p256_addcarryx_u64(&x157, &x158, x156, x131, x147);
uint64_t x159;
fiat_p256_uint1 x160;
fiat_p256_addcarryx_u64(&x159, &x160, x158, x133, x149);
uint64_t x161;
fiat_p256_uint1 x162;
fiat_p256_addcarryx_u64(&x161, &x162, x160, x135, x151);
uint64_t x163;
fiat_p256_uint1 x164;
fiat_p256_addcarryx_u64(&x163, &x164, x162, x137, x153);
uint64_t x165;
uint64_t x166;
fiat_p256_mulx_u64(&x165, &x166, x155, UINT64_C(0xffffffff00000001));
uint64_t x167;
uint64_t x168;
fiat_p256_mulx_u64(&x167, &x168, x155, UINT32_C(0xffffffff));
uint64_t x169;
uint64_t x170;
fiat_p256_mulx_u64(&x169, &x170, x155, UINT64_C(0xffffffffffffffff));
uint64_t x171;
fiat_p256_uint1 x172;
fiat_p256_addcarryx_u64(&x171, &x172, 0x0, x170, x167);
uint64_t x173;
fiat_p256_uint1 x174;
fiat_p256_addcarryx_u64(&x173, &x174, x172, x168, 0x0);
uint64_t x175;
fiat_p256_uint1 x176;
fiat_p256_addcarryx_u64(&x175, &x176, 0x0, x155, x169);
uint64_t x177;
fiat_p256_uint1 x178;
fiat_p256_addcarryx_u64(&x177, &x178, x176, x157, x171);
uint64_t x179;
fiat_p256_uint1 x180;
fiat_p256_addcarryx_u64(&x179, &x180, x178, x159, x173);
uint64_t x181;
fiat_p256_uint1 x182;
fiat_p256_addcarryx_u64(&x181, &x182, x180, x161, x165);
uint64_t x183;
fiat_p256_uint1 x184;
fiat_p256_addcarryx_u64(&x183, &x184, x182, x163, x166);
uint64_t x185;
fiat_p256_uint1 x186;
fiat_p256_addcarryx_u64(&x185, &x186, x184, x164, 0x0);
uint64_t x187;
fiat_p256_uint1 x188;
fiat_p256_subborrowx_u64(&x187, &x188, 0x0, x177, UINT64_C(0xffffffffffffffff));
uint64_t x189;
fiat_p256_uint1 x190;
fiat_p256_subborrowx_u64(&x189, &x190, x188, x179, UINT32_C(0xffffffff));
uint64_t x191;
fiat_p256_uint1 x192;
fiat_p256_subborrowx_u64(&x191, &x192, x190, x181, 0x0);
uint64_t x193;
fiat_p256_uint1 x194;
fiat_p256_subborrowx_u64(&x193, &x194, x192, x183, UINT64_C(0xffffffff00000001));
uint64_t x195;
fiat_p256_uint1 x196;
fiat_p256_subborrowx_u64(&x195, &x196, x194, x185, 0x0);
uint64_t x197;
fiat_p256_cmovznz_u64(&x197, x196, x187, x177);
uint64_t x198;
fiat_p256_cmovznz_u64(&x198, x196, x189, x179);
uint64_t x199;
fiat_p256_cmovznz_u64(&x199, x196, x191, x181);
uint64_t x200;
fiat_p256_cmovznz_u64(&x200, x196, x193, x183);
out1[0] = x197;
out1[1] = x198;
out1[2] = x199;
out1[3] = x200;
}
/*
* The function fiat_p256_add adds two field elements in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_p256_add(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
uint64_t x1;
fiat_p256_uint1 x2;
fiat_p256_addcarryx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
uint64_t x3;
fiat_p256_uint1 x4;
fiat_p256_addcarryx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
uint64_t x5;
fiat_p256_uint1 x6;
fiat_p256_addcarryx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
uint64_t x7;
fiat_p256_uint1 x8;
fiat_p256_addcarryx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
uint64_t x9;
fiat_p256_uint1 x10;
fiat_p256_subborrowx_u64(&x9, &x10, 0x0, x1, UINT64_C(0xffffffffffffffff));
uint64_t x11;
fiat_p256_uint1 x12;
fiat_p256_subborrowx_u64(&x11, &x12, x10, x3, UINT32_C(0xffffffff));
uint64_t x13;
fiat_p256_uint1 x14;
fiat_p256_subborrowx_u64(&x13, &x14, x12, x5, 0x0);
uint64_t x15;
fiat_p256_uint1 x16;
fiat_p256_subborrowx_u64(&x15, &x16, x14, x7, UINT64_C(0xffffffff00000001));
uint64_t x17;
fiat_p256_uint1 x18;
fiat_p256_subborrowx_u64(&x17, &x18, x16, x8, 0x0);
uint64_t x19;
fiat_p256_cmovznz_u64(&x19, x18, x9, x1);
uint64_t x20;
fiat_p256_cmovznz_u64(&x20, x18, x11, x3);
uint64_t x21;
fiat_p256_cmovznz_u64(&x21, x18, x13, x5);
uint64_t x22;
fiat_p256_cmovznz_u64(&x22, x18, x15, x7);
out1[0] = x19;
out1[1] = x20;
out1[2] = x21;
out1[3] = x22;
}
/*
* The function fiat_p256_sub subtracts two field elements in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* 0 ≤ eval arg2 < m
* Postconditions:
* eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_p256_sub(uint64_t out1[4], const uint64_t arg1[4], const uint64_t arg2[4]) {
uint64_t x1;
fiat_p256_uint1 x2;
fiat_p256_subborrowx_u64(&x1, &x2, 0x0, (arg1[0]), (arg2[0]));
uint64_t x3;
fiat_p256_uint1 x4;
fiat_p256_subborrowx_u64(&x3, &x4, x2, (arg1[1]), (arg2[1]));
uint64_t x5;
fiat_p256_uint1 x6;
fiat_p256_subborrowx_u64(&x5, &x6, x4, (arg1[2]), (arg2[2]));
uint64_t x7;
fiat_p256_uint1 x8;
fiat_p256_subborrowx_u64(&x7, &x8, x6, (arg1[3]), (arg2[3]));
uint64_t x9;
fiat_p256_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff));
uint64_t x10;
fiat_p256_uint1 x11;
fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, (x9 & UINT64_C(0xffffffffffffffff)));
uint64_t x12;
fiat_p256_uint1 x13;
fiat_p256_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT32_C(0xffffffff)));
uint64_t x14;
fiat_p256_uint1 x15;
fiat_p256_addcarryx_u64(&x14, &x15, x13, x5, 0x0);
uint64_t x16;
fiat_p256_uint1 x17;
fiat_p256_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0xffffffff00000001)));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/*
* The function fiat_p256_opp negates a field element in the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_p256_opp(uint64_t out1[4], const uint64_t arg1[4]) {
uint64_t x1;
fiat_p256_uint1 x2;
fiat_p256_subborrowx_u64(&x1, &x2, 0x0, 0x0, (arg1[0]));
uint64_t x3;
fiat_p256_uint1 x4;
fiat_p256_subborrowx_u64(&x3, &x4, x2, 0x0, (arg1[1]));
uint64_t x5;
fiat_p256_uint1 x6;
fiat_p256_subborrowx_u64(&x5, &x6, x4, 0x0, (arg1[2]));
uint64_t x7;
fiat_p256_uint1 x8;
fiat_p256_subborrowx_u64(&x7, &x8, x6, 0x0, (arg1[3]));
uint64_t x9;
fiat_p256_cmovznz_u64(&x9, x8, 0x0, UINT64_C(0xffffffffffffffff));
uint64_t x10;
fiat_p256_uint1 x11;
fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, (x9 & UINT64_C(0xffffffffffffffff)));
uint64_t x12;
fiat_p256_uint1 x13;
fiat_p256_addcarryx_u64(&x12, &x13, x11, x3, (x9 & UINT32_C(0xffffffff)));
uint64_t x14;
fiat_p256_uint1 x15;
fiat_p256_addcarryx_u64(&x14, &x15, x13, x5, 0x0);
uint64_t x16;
fiat_p256_uint1 x17;
fiat_p256_addcarryx_u64(&x16, &x17, x15, x7, (x9 & UINT64_C(0xffffffff00000001)));
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/*
* The function fiat_p256_from_montgomery translates a field element out of the Montgomery domain.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_p256_from_montgomery(uint64_t out1[4], const uint64_t arg1[4]) {
uint64_t x1 = (arg1[0]);
uint64_t x2;
uint64_t x3;
fiat_p256_mulx_u64(&x2, &x3, x1, UINT64_C(0xffffffff00000001));
uint64_t x4;
uint64_t x5;
fiat_p256_mulx_u64(&x4, &x5, x1, UINT32_C(0xffffffff));
uint64_t x6;
uint64_t x7;
fiat_p256_mulx_u64(&x6, &x7, x1, UINT64_C(0xffffffffffffffff));
uint64_t x8;
fiat_p256_uint1 x9;
fiat_p256_addcarryx_u64(&x8, &x9, 0x0, x7, x4);
uint64_t x10;
fiat_p256_uint1 x11;
fiat_p256_addcarryx_u64(&x10, &x11, 0x0, x1, x6);
uint64_t x12;
fiat_p256_uint1 x13;
fiat_p256_addcarryx_u64(&x12, &x13, x11, 0x0, x8);
uint64_t x14;
fiat_p256_uint1 x15;
fiat_p256_addcarryx_u64(&x14, &x15, 0x0, x12, (arg1[1]));
uint64_t x16;
uint64_t x17;
fiat_p256_mulx_u64(&x16, &x17, x14, UINT64_C(0xffffffff00000001));
uint64_t x18;
uint64_t x19;
fiat_p256_mulx_u64(&x18, &x19, x14, UINT32_C(0xffffffff));
uint64_t x20;
uint64_t x21;
fiat_p256_mulx_u64(&x20, &x21, x14, UINT64_C(0xffffffffffffffff));
uint64_t x22;
fiat_p256_uint1 x23;
fiat_p256_addcarryx_u64(&x22, &x23, 0x0, x21, x18);
uint64_t x24;
fiat_p256_uint1 x25;
fiat_p256_addcarryx_u64(&x24, &x25, x9, x5, 0x0);
uint64_t x26;
fiat_p256_uint1 x27;
fiat_p256_addcarryx_u64(&x26, &x27, x13, 0x0, x24);
uint64_t x28;
fiat_p256_uint1 x29;
fiat_p256_addcarryx_u64(&x28, &x29, x15, x26, 0x0);
uint64_t x30;
fiat_p256_uint1 x31;
fiat_p256_addcarryx_u64(&x30, &x31, 0x0, x14, x20);
uint64_t x32;
fiat_p256_uint1 x33;
fiat_p256_addcarryx_u64(&x32, &x33, x31, x28, x22);
uint64_t x34;
fiat_p256_uint1 x35;
fiat_p256_addcarryx_u64(&x34, &x35, x23, x19, 0x0);
uint64_t x36;
fiat_p256_uint1 x37;
fiat_p256_addcarryx_u64(&x36, &x37, x33, x2, x34);
uint64_t x38;
fiat_p256_uint1 x39;
fiat_p256_addcarryx_u64(&x38, &x39, x37, x3, x16);
uint64_t x40;
fiat_p256_uint1 x41;
fiat_p256_addcarryx_u64(&x40, &x41, 0x0, x32, (arg1[2]));
uint64_t x42;
fiat_p256_uint1 x43;
fiat_p256_addcarryx_u64(&x42, &x43, x41, x36, 0x0);
uint64_t x44;
fiat_p256_uint1 x45;
fiat_p256_addcarryx_u64(&x44, &x45, x43, x38, 0x0);
uint64_t x46;
uint64_t x47;
fiat_p256_mulx_u64(&x46, &x47, x40, UINT64_C(0xffffffff00000001));
uint64_t x48;
uint64_t x49;
fiat_p256_mulx_u64(&x48, &x49, x40, UINT32_C(0xffffffff));
uint64_t x50;
uint64_t x51;
fiat_p256_mulx_u64(&x50, &x51, x40, UINT64_C(0xffffffffffffffff));
uint64_t x52;
fiat_p256_uint1 x53;
fiat_p256_addcarryx_u64(&x52, &x53, 0x0, x51, x48);
uint64_t x54;
fiat_p256_uint1 x55;
fiat_p256_addcarryx_u64(&x54, &x55, 0x0, x40, x50);
uint64_t x56;
fiat_p256_uint1 x57;
fiat_p256_addcarryx_u64(&x56, &x57, x55, x42, x52);
uint64_t x58;
fiat_p256_uint1 x59;
fiat_p256_addcarryx_u64(&x58, &x59, x53, x49, 0x0);
uint64_t x60;
fiat_p256_uint1 x61;
fiat_p256_addcarryx_u64(&x60, &x61, x57, x44, x58);
uint64_t x62;
fiat_p256_uint1 x63;
fiat_p256_addcarryx_u64(&x62, &x63, x39, 0x0, x17);
uint64_t x64;
fiat_p256_uint1 x65;
fiat_p256_addcarryx_u64(&x64, &x65, x45, x62, 0x0);
uint64_t x66;
fiat_p256_uint1 x67;
fiat_p256_addcarryx_u64(&x66, &x67, x61, x64, x46);
uint64_t x68;
fiat_p256_uint1 x69;
fiat_p256_addcarryx_u64(&x68, &x69, 0x0, x56, (arg1[3]));
uint64_t x70;
fiat_p256_uint1 x71;
fiat_p256_addcarryx_u64(&x70, &x71, x69, x60, 0x0);
uint64_t x72;
fiat_p256_uint1 x73;
fiat_p256_addcarryx_u64(&x72, &x73, x71, x66, 0x0);
uint64_t x74;
uint64_t x75;
fiat_p256_mulx_u64(&x74, &x75, x68, UINT64_C(0xffffffff00000001));
uint64_t x76;
uint64_t x77;
fiat_p256_mulx_u64(&x76, &x77, x68, UINT32_C(0xffffffff));
uint64_t x78;
uint64_t x79;
fiat_p256_mulx_u64(&x78, &x79, x68, UINT64_C(0xffffffffffffffff));
uint64_t x80;
fiat_p256_uint1 x81;
fiat_p256_addcarryx_u64(&x80, &x81, 0x0, x79, x76);
uint64_t x82;
fiat_p256_uint1 x83;
fiat_p256_addcarryx_u64(&x82, &x83, 0x0, x68, x78);
uint64_t x84;
fiat_p256_uint1 x85;
fiat_p256_addcarryx_u64(&x84, &x85, x83, x70, x80);
uint64_t x86;
fiat_p256_uint1 x87;
fiat_p256_addcarryx_u64(&x86, &x87, x81, x77, 0x0);
uint64_t x88;
fiat_p256_uint1 x89;
fiat_p256_addcarryx_u64(&x88, &x89, x85, x72, x86);
uint64_t x90;
fiat_p256_uint1 x91;
fiat_p256_addcarryx_u64(&x90, &x91, x67, 0x0, x47);
uint64_t x92;
fiat_p256_uint1 x93;
fiat_p256_addcarryx_u64(&x92, &x93, x73, x90, 0x0);
uint64_t x94;
fiat_p256_uint1 x95;
fiat_p256_addcarryx_u64(&x94, &x95, x89, x92, x74);
uint64_t x96;
fiat_p256_uint1 x97;
fiat_p256_addcarryx_u64(&x96, &x97, x95, 0x0, x75);
uint64_t x98;
fiat_p256_uint1 x99;
fiat_p256_subborrowx_u64(&x98, &x99, 0x0, x84, UINT64_C(0xffffffffffffffff));
uint64_t x100;
fiat_p256_uint1 x101;
fiat_p256_subborrowx_u64(&x100, &x101, x99, x88, UINT32_C(0xffffffff));
uint64_t x102;
fiat_p256_uint1 x103;
fiat_p256_subborrowx_u64(&x102, &x103, x101, x94, 0x0);
uint64_t x104;
fiat_p256_uint1 x105;
fiat_p256_subborrowx_u64(&x104, &x105, x103, x96, UINT64_C(0xffffffff00000001));
uint64_t x106;
fiat_p256_uint1 x107;
fiat_p256_subborrowx_u64(&x106, &x107, x105, 0x0, 0x0);
uint64_t x108;
fiat_p256_cmovznz_u64(&x108, x107, x98, x84);
uint64_t x109;
fiat_p256_cmovznz_u64(&x109, x107, x100, x88);
uint64_t x110;
fiat_p256_cmovznz_u64(&x110, x107, x102, x94);
uint64_t x111;
fiat_p256_cmovznz_u64(&x111, x107, x104, x96);
out1[0] = x108;
out1[1] = x109;
out1[2] = x110;
out1[3] = x111;
}
/*
* The function fiat_p256_nonzero outputs a single non-zero word if the input is non-zero and zero otherwise.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [0x0 ~> 0xffffffffffffffff]
*/
static void fiat_p256_nonzero(uint64_t* out1, const uint64_t arg1[4]) {
uint64_t x1 = ((arg1[0]) | ((arg1[1]) | ((arg1[2]) | ((arg1[3]) | (uint64_t)0x0))));
*out1 = x1;
}
/*
* The function fiat_p256_selectznz is a multi-limb conditional select.
* Postconditions:
* eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_p256_selectznz(uint64_t out1[4], fiat_p256_uint1 arg1, const uint64_t arg2[4], const uint64_t arg3[4]) {
uint64_t x1;
fiat_p256_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0]));
uint64_t x2;
fiat_p256_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1]));
uint64_t x3;
fiat_p256_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2]));
uint64_t x4;
fiat_p256_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
}
/*
* The function fiat_p256_to_bytes serializes a field element in the Montgomery domain to bytes in little-endian order.
* Preconditions:
* 0 ≤ eval arg1 < m
* Postconditions:
* out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
*
* Input Bounds:
* arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
* Output Bounds:
* out1: [[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 ~> 0xff]]
*/
static void fiat_p256_to_bytes(uint8_t out1[32], const uint64_t arg1[4]) {
uint64_t x1 = (arg1[3]);
uint64_t x2 = (arg1[2]);
uint64_t x3 = (arg1[1]);
uint64_t x4 = (arg1[0]);
uint64_t x5 = (x4 >> 8);
uint8_t x6 = (uint8_t)(x4 & UINT8_C(0xff));
uint64_t x7 = (x5 >> 8);
uint8_t x8 = (uint8_t)(x5 & UINT8_C(0xff));
uint64_t x9 = (x7 >> 8);
uint8_t x10 = (uint8_t)(x7 & UINT8_C(0xff));
uint64_t x11 = (x9 >> 8);
uint8_t x12 = (uint8_t)(x9 & UINT8_C(0xff));
uint64_t x13 = (x11 >> 8);
uint8_t x14 = (uint8_t)(x11 & UINT8_C(0xff));
uint64_t x15 = (x13 >> 8);
uint8_t x16 = (uint8_t)(x13 & UINT8_C(0xff));
uint8_t x17 = (uint8_t)(x15 >> 8);
uint8_t x18 = (uint8_t)(x15 & UINT8_C(0xff));
uint8_t x19 = (uint8_t)(x17 & UINT8_C(0xff));
uint64_t x20 = (x3 >> 8);
uint8_t x21 = (uint8_t)(x3 & UINT8_C(0xff));
uint64_t x22 = (x20 >> 8);
uint8_t x23 = (uint8_t)(x20 & UINT8_C(0xff));
uint64_t x24 = (x22 >> 8);
uint8_t x25 = (uint8_t)(x22 & UINT8_C(0xff));
uint64_t x26 = (x24 >> 8);
uint8_t x27 = (uint8_t)(x24 & UINT8_C(0xff));
uint64_t x28 = (x26 >> 8);
uint8_t x29 = (uint8_t)(x26 & UINT8_C(0xff));
uint64_t x30 = (x28 >> 8);
uint8_t x31 = (uint8_t)(x28 & UINT8_C(0xff));
uint8_t x32 = (uint8_t)(x30 >> 8);
uint8_t x33 = (uint8_t)(x30 & UINT8_C(0xff));
uint8_t x34 = (uint8_t)(x32 & UINT8_C(0xff));
uint64_t x35 = (x2 >> 8);
uint8_t x36 = (uint8_t)(x2 & UINT8_C(0xff));
uint64_t x37 = (x35 >> 8);
uint8_t x38 = (uint8_t)(x35 & UINT8_C(0xff));
uint64_t x39 = (x37 >> 8);
uint8_t x40 = (uint8_t)(x37 & UINT8_C(0xff));
uint64_t x41 = (x39 >> 8);
uint8_t x42 = (uint8_t)(x39 & UINT8_C(0xff));
uint64_t x43 = (x41 >> 8);
uint8_t x44 = (uint8_t)(x41 & UINT8_C(0xff));
uint64_t x45 = (x43 >> 8);
uint8_t x46 = (uint8_t)(x43 & UINT8_C(0xff));
uint8_t x47 = (uint8_t)(x45 >> 8);
uint8_t x48 = (uint8_t)(x45 & UINT8_C(0xff));
uint8_t x49 = (uint8_t)(x47 & UINT8_C(0xff));
uint64_t x50 = (x1 >> 8);
uint8_t x51 = (uint8_t)(x1 & UINT8_C(0xff));
uint64_t x52 = (x50 >> 8);
uint8_t x53 = (uint8_t)(x50 & UINT8_C(0xff));
uint64_t x54 = (x52 >> 8);
uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff));
uint64_t x56 = (x54 >> 8);
uint8_t x57 = (uint8_t)(x54 & UINT8_C(0xff));
uint64_t x58 = (x56 >> 8);
uint8_t x59 = (uint8_t)(x56 & UINT8_C(0xff));
uint64_t x60 = (x58 >> 8);
uint8_t x61 = (uint8_t)(x58 & UINT8_C(0xff));
uint8_t x62 = (uint8_t)(x60 >> 8);
uint8_t x63 = (uint8_t)(x60 & UINT8_C(0xff));
out1[0] = x6;
out1[1] = x8;
out1[2] = x10;
out1[3] = x12;
out1[4] = x14;
out1[5] = x16;
out1[6] = x18;
out1[7] = x19;
out1[8] = x21;
out1[9] = x23;
out1[10] = x25;
out1[11] = x27;
out1[12] = x29;
out1[13] = x31;
out1[14] = x33;
out1[15] = x34;
out1[16] = x36;
out1[17] = x38;
out1[18] = x40;
out1[19] = x42;
out1[20] = x44;
out1[21] = x46;
out1[22] = x48;
out1[23] = x49;
out1[24] = x51;
out1[25] = x53;
out1[26] = x55;
out1[27] = x57;
out1[28] = x59;
out1[29] = x61;
out1[30] = x63;
out1[31] = x62;
}
/*
* The function fiat_p256_from_bytes deserializes a field element in the Montgomery domain from bytes in little-endian order.
* Preconditions:
* 0 ≤ bytes_eval arg1 < m
* Postconditions:
* eval out1 mod m = bytes_eval arg1 mod m
* 0 ≤ eval out1 < m
*
* Input Bounds:
* arg1: [[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 ~> 0xff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
*/
static void fiat_p256_from_bytes(uint64_t out1[4], const uint8_t arg1[32]) {
uint64_t x1 = ((uint64_t)(arg1[31]) << 56);
uint64_t x2 = ((uint64_t)(arg1[30]) << 48);
uint64_t x3 = ((uint64_t)(arg1[29]) << 40);
uint64_t x4 = ((uint64_t)(arg1[28]) << 32);
uint64_t x5 = ((uint64_t)(arg1[27]) << 24);
uint64_t x6 = ((uint64_t)(arg1[26]) << 16);
uint64_t x7 = ((uint64_t)(arg1[25]) << 8);
uint8_t x8 = (arg1[24]);
uint64_t x9 = ((uint64_t)(arg1[23]) << 56);
uint64_t x10 = ((uint64_t)(arg1[22]) << 48);
uint64_t x11 = ((uint64_t)(arg1[21]) << 40);
uint64_t x12 = ((uint64_t)(arg1[20]) << 32);
uint64_t x13 = ((uint64_t)(arg1[19]) << 24);
uint64_t x14 = ((uint64_t)(arg1[18]) << 16);
uint64_t x15 = ((uint64_t)(arg1[17]) << 8);
uint8_t x16 = (arg1[16]);
uint64_t x17 = ((uint64_t)(arg1[15]) << 56);
uint64_t x18 = ((uint64_t)(arg1[14]) << 48);
uint64_t x19 = ((uint64_t)(arg1[13]) << 40);
uint64_t x20 = ((uint64_t)(arg1[12]) << 32);
uint64_t x21 = ((uint64_t)(arg1[11]) << 24);
uint64_t x22 = ((uint64_t)(arg1[10]) << 16);
uint64_t x23 = ((uint64_t)(arg1[9]) << 8);
uint8_t x24 = (arg1[8]);
uint64_t x25 = ((uint64_t)(arg1[7]) << 56);
uint64_t x26 = ((uint64_t)(arg1[6]) << 48);
uint64_t x27 = ((uint64_t)(arg1[5]) << 40);
uint64_t x28 = ((uint64_t)(arg1[4]) << 32);
uint64_t x29 = ((uint64_t)(arg1[3]) << 24);
uint64_t x30 = ((uint64_t)(arg1[2]) << 16);
uint64_t x31 = ((uint64_t)(arg1[1]) << 8);
uint8_t x32 = (arg1[0]);
uint64_t x33 = (x32 + (x31 + (x30 + (x29 + (x28 + (x27 + (x26 + x25)))))));
uint64_t x34 = (x33 & UINT64_C(0xffffffffffffffff));
uint64_t x35 = (x8 + (x7 + (x6 + (x5 + (x4 + (x3 + (x2 + x1)))))));
uint64_t x36 = (x16 + (x15 + (x14 + (x13 + (x12 + (x11 + (x10 + x9)))))));
uint64_t x37 = (x24 + (x23 + (x22 + (x21 + (x20 + (x19 + (x18 + x17)))))));
uint64_t x38 = (x37 & UINT64_C(0xffffffffffffffff));
uint64_t x39 = (x36 & UINT64_C(0xffffffffffffffff));
out1[0] = x34;
out1[1] = x38;
out1[2] = x39;
out1[3] = x35;
}
