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p256_64.c
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/* Autogenerated */
/* curve description: p256 */
/* requested operations: (all) */
/* s = 0x10000000000000000000000000000000000000000000000000000000000000000 (from "2^256") */
/* c = [(26959946667150639794667015087019630673637144422540572481103610249216, 1), (6277101735386680763835789423207666416102355444464034512896, -1), (79228162514264337593543950336, -1), (1, 1)] (from "2^224,1;2^192,-1;2^96,-1;1,1") */
/* 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 (s-c), 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;
/*
* 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;
}
/*
* 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)((fiat_p256_uint128)x1 >> 64);
uint64_t x3 = (uint64_t)(x1 & UINT64_C(0xffffffffffffffff));
*out1 = x3;
*out2 = (fiat_p256_uint1)(0x0 - x2);
}
/*
* 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;
}
/*
* 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;
}
/*
* 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, x9, x12);
uint64_t x15;
fiat_p256_uint1 x16;
fiat_p256_addcarryx_u64(&x15, &x16, x14, x7, x10);
uint64_t x17;
fiat_p256_uint1 x18;
fiat_p256_addcarryx_u64(&x17, &x18, x16, x5, x8);
uint64_t x19;
fiat_p256_uint1 x20;
fiat_p256_addcarryx_u64(&x19, &x20, x18, 0x0, x6);
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, x23, x26);
uint64_t x29;
fiat_p256_uint1 x30;
fiat_p256_addcarryx_u64(&x29, &x30, x28, 0x0, x24);
uint64_t x31;
fiat_p256_uint1 x32;
fiat_p256_addcarryx_u64(&x31, &x32, x30, x21, 0x0);
uint64_t x33;
fiat_p256_uint1 x34;
fiat_p256_addcarryx_u64(&x33, &x34, x32, 0x0, x22);
uint64_t x35;
fiat_p256_uint1 x36;
fiat_p256_addcarryx_u64(&x35, &x36, 0x0, x25, x11);
uint64_t x37;
fiat_p256_uint1 x38;
fiat_p256_addcarryx_u64(&x37, &x38, x36, x27, x13);
uint64_t x39;
fiat_p256_uint1 x40;
fiat_p256_addcarryx_u64(&x39, &x40, x38, x29, x15);
uint64_t x41;
fiat_p256_uint1 x42;
fiat_p256_addcarryx_u64(&x41, &x42, x40, x31, x17);
uint64_t x43;
fiat_p256_uint1 x44;
fiat_p256_addcarryx_u64(&x43, &x44, x42, x33, x19);
uint64_t x45;
fiat_p256_uint1 x46;
fiat_p256_addcarryx_u64(&x45, &x46, x44, 0x0, 0x0);
uint64_t x47;
uint64_t x48;
fiat_p256_mulx_u64(&x47, &x48, x1, (arg2[3]));
uint64_t x49;
uint64_t x50;
fiat_p256_mulx_u64(&x49, &x50, x1, (arg2[2]));
uint64_t x51;
uint64_t x52;
fiat_p256_mulx_u64(&x51, &x52, x1, (arg2[1]));
uint64_t x53;
uint64_t x54;
fiat_p256_mulx_u64(&x53, &x54, x1, (arg2[0]));
uint64_t x55;
fiat_p256_uint1 x56;
fiat_p256_addcarryx_u64(&x55, &x56, 0x0, x51, x54);
uint64_t x57;
fiat_p256_uint1 x58;
fiat_p256_addcarryx_u64(&x57, &x58, x56, x49, x52);
uint64_t x59;
fiat_p256_uint1 x60;
fiat_p256_addcarryx_u64(&x59, &x60, x58, x47, x50);
uint64_t x61;
fiat_p256_uint1 x62;
fiat_p256_addcarryx_u64(&x61, &x62, x60, 0x0, x48);
uint64_t x63;
fiat_p256_uint1 x64;
fiat_p256_addcarryx_u64(&x63, &x64, 0x0, x53, x37);
uint64_t x65;
fiat_p256_uint1 x66;
fiat_p256_addcarryx_u64(&x65, &x66, x64, x55, x39);
uint64_t x67;
fiat_p256_uint1 x68;
fiat_p256_addcarryx_u64(&x67, &x68, x66, x57, x41);
uint64_t x69;
fiat_p256_uint1 x70;
fiat_p256_addcarryx_u64(&x69, &x70, x68, x59, x43);
uint64_t x71;
fiat_p256_uint1 x72;
fiat_p256_addcarryx_u64(&x71, &x72, x70, x61, (fiat_p256_uint1)x45);
uint64_t x73;
uint64_t x74;
fiat_p256_mulx_u64(&x73, &x74, x63, UINT64_C(0xffffffff00000001));
uint64_t x75;
uint64_t x76;
fiat_p256_mulx_u64(&x75, &x76, x63, UINT32_C(0xffffffff));
uint64_t x77;
uint64_t x78;
fiat_p256_mulx_u64(&x77, &x78, x63, UINT64_C(0xffffffffffffffff));
uint64_t x79;
fiat_p256_uint1 x80;
fiat_p256_addcarryx_u64(&x79, &x80, 0x0, x75, x78);
uint64_t x81;
fiat_p256_uint1 x82;
fiat_p256_addcarryx_u64(&x81, &x82, x80, 0x0, x76);
uint64_t x83;
fiat_p256_uint1 x84;
fiat_p256_addcarryx_u64(&x83, &x84, x82, x73, 0x0);
uint64_t x85;
fiat_p256_uint1 x86;
fiat_p256_addcarryx_u64(&x85, &x86, x84, 0x0, x74);
uint64_t x87;
fiat_p256_uint1 x88;
fiat_p256_addcarryx_u64(&x87, &x88, 0x0, x77, x63);
uint64_t x89;
fiat_p256_uint1 x90;
fiat_p256_addcarryx_u64(&x89, &x90, x88, x79, x65);
uint64_t x91;
fiat_p256_uint1 x92;
fiat_p256_addcarryx_u64(&x91, &x92, x90, x81, x67);
uint64_t x93;
fiat_p256_uint1 x94;
fiat_p256_addcarryx_u64(&x93, &x94, x92, x83, x69);
uint64_t x95;
fiat_p256_uint1 x96;
fiat_p256_addcarryx_u64(&x95, &x96, x94, x85, x71);
uint64_t x97;
fiat_p256_uint1 x98;
fiat_p256_addcarryx_u64(&x97, &x98, x96, 0x0, x72);
uint64_t x99;
uint64_t x100;
fiat_p256_mulx_u64(&x99, &x100, x2, (arg2[3]));
uint64_t x101;
uint64_t x102;
fiat_p256_mulx_u64(&x101, &x102, x2, (arg2[2]));
uint64_t x103;
uint64_t x104;
fiat_p256_mulx_u64(&x103, &x104, x2, (arg2[1]));
uint64_t x105;
uint64_t x106;
fiat_p256_mulx_u64(&x105, &x106, x2, (arg2[0]));
uint64_t x107;
fiat_p256_uint1 x108;
fiat_p256_addcarryx_u64(&x107, &x108, 0x0, x103, x106);
uint64_t x109;
fiat_p256_uint1 x110;
fiat_p256_addcarryx_u64(&x109, &x110, x108, x101, x104);
uint64_t x111;
fiat_p256_uint1 x112;
fiat_p256_addcarryx_u64(&x111, &x112, x110, x99, x102);
uint64_t x113;
fiat_p256_uint1 x114;
fiat_p256_addcarryx_u64(&x113, &x114, x112, 0x0, x100);
uint64_t x115;
fiat_p256_uint1 x116;
fiat_p256_addcarryx_u64(&x115, &x116, 0x0, x105, x89);
uint64_t x117;
fiat_p256_uint1 x118;
fiat_p256_addcarryx_u64(&x117, &x118, x116, x107, x91);
uint64_t x119;
fiat_p256_uint1 x120;
fiat_p256_addcarryx_u64(&x119, &x120, x118, x109, x93);
uint64_t x121;
fiat_p256_uint1 x122;
fiat_p256_addcarryx_u64(&x121, &x122, x120, x111, x95);
uint64_t x123;
fiat_p256_uint1 x124;
fiat_p256_addcarryx_u64(&x123, &x124, x122, x113, x97);
uint64_t x125;
uint64_t x126;
fiat_p256_mulx_u64(&x125, &x126, x115, UINT64_C(0xffffffff00000001));
uint64_t x127;
uint64_t x128;
fiat_p256_mulx_u64(&x127, &x128, x115, UINT32_C(0xffffffff));
uint64_t x129;
uint64_t x130;
fiat_p256_mulx_u64(&x129, &x130, x115, UINT64_C(0xffffffffffffffff));
uint64_t x131;
fiat_p256_uint1 x132;
fiat_p256_addcarryx_u64(&x131, &x132, 0x0, x127, x130);
uint64_t x133;
fiat_p256_uint1 x134;
fiat_p256_addcarryx_u64(&x133, &x134, x132, 0x0, x128);
uint64_t x135;
fiat_p256_uint1 x136;
fiat_p256_addcarryx_u64(&x135, &x136, x134, x125, 0x0);
uint64_t x137;
fiat_p256_uint1 x138;
fiat_p256_addcarryx_u64(&x137, &x138, x136, 0x0, x126);
uint64_t x139;
fiat_p256_uint1 x140;
fiat_p256_addcarryx_u64(&x139, &x140, 0x0, x129, x115);
uint64_t x141;
fiat_p256_uint1 x142;
fiat_p256_addcarryx_u64(&x141, &x142, x140, x131, x117);
uint64_t x143;
fiat_p256_uint1 x144;
fiat_p256_addcarryx_u64(&x143, &x144, x142, x133, x119);
uint64_t x145;
fiat_p256_uint1 x146;
fiat_p256_addcarryx_u64(&x145, &x146, x144, x135, x121);
uint64_t x147;
fiat_p256_uint1 x148;
fiat_p256_addcarryx_u64(&x147, &x148, x146, x137, x123);
uint64_t x149;
fiat_p256_uint1 x150;
fiat_p256_addcarryx_u64(&x149, &x150, x148, 0x0, x124);
uint64_t x151;
uint64_t x152;
fiat_p256_mulx_u64(&x151, &x152, x3, (arg2[3]));
uint64_t x153;
uint64_t x154;
fiat_p256_mulx_u64(&x153, &x154, x3, (arg2[2]));
uint64_t x155;
uint64_t x156;
fiat_p256_mulx_u64(&x155, &x156, x3, (arg2[1]));
uint64_t x157;
uint64_t x158;
fiat_p256_mulx_u64(&x157, &x158, x3, (arg2[0]));
uint64_t x159;
fiat_p256_uint1 x160;
fiat_p256_addcarryx_u64(&x159, &x160, 0x0, x155, x158);
uint64_t x161;
fiat_p256_uint1 x162;
fiat_p256_addcarryx_u64(&x161, &x162, x160, x153, x156);
uint64_t x163;
fiat_p256_uint1 x164;
fiat_p256_addcarryx_u64(&x163, &x164, x162, x151, x154);
uint64_t x165;
fiat_p256_uint1 x166;
fiat_p256_addcarryx_u64(&x165, &x166, x164, 0x0, x152);
uint64_t x167;
fiat_p256_uint1 x168;
fiat_p256_addcarryx_u64(&x167, &x168, 0x0, x157, x141);
uint64_t x169;
fiat_p256_uint1 x170;
fiat_p256_addcarryx_u64(&x169, &x170, x168, x159, x143);
uint64_t x171;
fiat_p256_uint1 x172;
fiat_p256_addcarryx_u64(&x171, &x172, x170, x161, x145);
uint64_t x173;
fiat_p256_uint1 x174;
fiat_p256_addcarryx_u64(&x173, &x174, x172, x163, x147);
uint64_t x175;
fiat_p256_uint1 x176;
fiat_p256_addcarryx_u64(&x175, &x176, x174, x165, x149);
uint64_t x177;
uint64_t x178;
fiat_p256_mulx_u64(&x177, &x178, x167, UINT64_C(0xffffffff00000001));
uint64_t x179;
uint64_t x180;
fiat_p256_mulx_u64(&x179, &x180, x167, UINT32_C(0xffffffff));
uint64_t x181;
uint64_t x182;
fiat_p256_mulx_u64(&x181, &x182, x167, UINT64_C(0xffffffffffffffff));
uint64_t x183;
fiat_p256_uint1 x184;
fiat_p256_addcarryx_u64(&x183, &x184, 0x0, x179, x182);
uint64_t x185;
fiat_p256_uint1 x186;
fiat_p256_addcarryx_u64(&x185, &x186, x184, 0x0, x180);
uint64_t x187;
fiat_p256_uint1 x188;
fiat_p256_addcarryx_u64(&x187, &x188, x186, x177, 0x0);
uint64_t x189;
fiat_p256_uint1 x190;
fiat_p256_addcarryx_u64(&x189, &x190, x188, 0x0, x178);
uint64_t x191;
fiat_p256_uint1 x192;
fiat_p256_addcarryx_u64(&x191, &x192, 0x0, x181, x167);
uint64_t x193;
fiat_p256_uint1 x194;
fiat_p256_addcarryx_u64(&x193, &x194, x192, x183, x169);
uint64_t x195;
fiat_p256_uint1 x196;
fiat_p256_addcarryx_u64(&x195, &x196, x194, x185, x171);
uint64_t x197;
fiat_p256_uint1 x198;
fiat_p256_addcarryx_u64(&x197, &x198, x196, x187, x173);
uint64_t x199;
fiat_p256_uint1 x200;
fiat_p256_addcarryx_u64(&x199, &x200, x198, x189, x175);
uint64_t x201;
fiat_p256_uint1 x202;
fiat_p256_addcarryx_u64(&x201, &x202, x200, 0x0, x176);
uint64_t x203;
fiat_p256_uint1 x204;
fiat_p256_subborrowx_u64(&x203, &x204, 0x0, x193, UINT64_C(0xffffffffffffffff));
uint64_t x205;
fiat_p256_uint1 x206;
fiat_p256_subborrowx_u64(&x205, &x206, x204, x195, UINT32_C(0xffffffff));
uint64_t x207;
fiat_p256_uint1 x208;
fiat_p256_subborrowx_u64(&x207, &x208, x206, x197, 0x0);
uint64_t x209;
fiat_p256_uint1 x210;
fiat_p256_subborrowx_u64(&x209, &x210, x208, x199, UINT64_C(0xffffffff00000001));
uint64_t x211;
fiat_p256_uint1 x212;
fiat_p256_subborrowx_u64(&x211, &x212, x210, x201, 0x0);
uint64_t x213;
fiat_p256_cmovznz_u64(&x213, x212, x203, x193);
uint64_t x214;
fiat_p256_cmovznz_u64(&x214, x212, x205, x195);
uint64_t x215;
fiat_p256_cmovznz_u64(&x215, x212, x207, x197);
uint64_t x216;
fiat_p256_cmovznz_u64(&x216, x212, x209, x199);
out1[0] = x213;
out1[1] = x214;
out1[2] = x215;
out1[3] = x216;
}
/*
* 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, x9, x12);
uint64_t x15;
fiat_p256_uint1 x16;
fiat_p256_addcarryx_u64(&x15, &x16, x14, x7, x10);
uint64_t x17;
fiat_p256_uint1 x18;
fiat_p256_addcarryx_u64(&x17, &x18, x16, x5, x8);
uint64_t x19;
fiat_p256_uint1 x20;
fiat_p256_addcarryx_u64(&x19, &x20, x18, 0x0, x6);
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, x23, x26);
uint64_t x29;
fiat_p256_uint1 x30;
fiat_p256_addcarryx_u64(&x29, &x30, x28, 0x0, x24);
uint64_t x31;
fiat_p256_uint1 x32;
fiat_p256_addcarryx_u64(&x31, &x32, x30, x21, 0x0);
uint64_t x33;
fiat_p256_uint1 x34;
fiat_p256_addcarryx_u64(&x33, &x34, x32, 0x0, x22);
uint64_t x35;
fiat_p256_uint1 x36;
fiat_p256_addcarryx_u64(&x35, &x36, 0x0, x25, x11);
uint64_t x37;
fiat_p256_uint1 x38;
fiat_p256_addcarryx_u64(&x37, &x38, x36, x27, x13);
uint64_t x39;
fiat_p256_uint1 x40;
fiat_p256_addcarryx_u64(&x39, &x40, x38, x29, x15);
uint64_t x41;
fiat_p256_uint1 x42;
fiat_p256_addcarryx_u64(&x41, &x42, x40, x31, x17);
uint64_t x43;
fiat_p256_uint1 x44;
fiat_p256_addcarryx_u64(&x43, &x44, x42, x33, x19);
uint64_t x45;
fiat_p256_uint1 x46;
fiat_p256_addcarryx_u64(&x45, &x46, x44, 0x0, 0x0);
uint64_t x47;
uint64_t x48;
fiat_p256_mulx_u64(&x47, &x48, x1, (arg1[3]));
uint64_t x49;
uint64_t x50;
fiat_p256_mulx_u64(&x49, &x50, x1, (arg1[2]));
uint64_t x51;
uint64_t x52;
fiat_p256_mulx_u64(&x51, &x52, x1, (arg1[1]));
uint64_t x53;
uint64_t x54;
fiat_p256_mulx_u64(&x53, &x54, x1, (arg1[0]));
uint64_t x55;
fiat_p256_uint1 x56;
fiat_p256_addcarryx_u64(&x55, &x56, 0x0, x51, x54);
uint64_t x57;
fiat_p256_uint1 x58;
fiat_p256_addcarryx_u64(&x57, &x58, x56, x49, x52);
uint64_t x59;
fiat_p256_uint1 x60;
fiat_p256_addcarryx_u64(&x59, &x60, x58, x47, x50);
uint64_t x61;
fiat_p256_uint1 x62;
fiat_p256_addcarryx_u64(&x61, &x62, x60, 0x0, x48);
uint64_t x63;
fiat_p256_uint1 x64;
fiat_p256_addcarryx_u64(&x63, &x64, 0x0, x53, x37);
uint64_t x65;
fiat_p256_uint1 x66;
fiat_p256_addcarryx_u64(&x65, &x66, x64, x55, x39);
uint64_t x67;
fiat_p256_uint1 x68;
fiat_p256_addcarryx_u64(&x67, &x68, x66, x57, x41);
uint64_t x69;
fiat_p256_uint1 x70;
fiat_p256_addcarryx_u64(&x69, &x70, x68, x59, x43);
uint64_t x71;
fiat_p256_uint1 x72;
fiat_p256_addcarryx_u64(&x71, &x72, x70, x61, (fiat_p256_uint1)x45);
uint64_t x73;
uint64_t x74;
fiat_p256_mulx_u64(&x73, &x74, x63, UINT64_C(0xffffffff00000001));
uint64_t x75;
uint64_t x76;
fiat_p256_mulx_u64(&x75, &x76, x63, UINT32_C(0xffffffff));
uint64_t x77;
uint64_t x78;
fiat_p256_mulx_u64(&x77, &x78, x63, UINT64_C(0xffffffffffffffff));
uint64_t x79;
fiat_p256_uint1 x80;
fiat_p256_addcarryx_u64(&x79, &x80, 0x0, x75, x78);
uint64_t x81;
fiat_p256_uint1 x82;
fiat_p256_addcarryx_u64(&x81, &x82, x80, 0x0, x76);
uint64_t x83;
fiat_p256_uint1 x84;
fiat_p256_addcarryx_u64(&x83, &x84, x82, x73, 0x0);
uint64_t x85;
fiat_p256_uint1 x86;
fiat_p256_addcarryx_u64(&x85, &x86, x84, 0x0, x74);
uint64_t x87;
fiat_p256_uint1 x88;
fiat_p256_addcarryx_u64(&x87, &x88, 0x0, x77, x63);
uint64_t x89;
fiat_p256_uint1 x90;
fiat_p256_addcarryx_u64(&x89, &x90, x88, x79, x65);
uint64_t x91;
fiat_p256_uint1 x92;
fiat_p256_addcarryx_u64(&x91, &x92, x90, x81, x67);
uint64_t x93;
fiat_p256_uint1 x94;
fiat_p256_addcarryx_u64(&x93, &x94, x92, x83, x69);
uint64_t x95;
fiat_p256_uint1 x96;
fiat_p256_addcarryx_u64(&x95, &x96, x94, x85, x71);
uint64_t x97;
fiat_p256_uint1 x98;
fiat_p256_addcarryx_u64(&x97, &x98, x96, 0x0, x72);
uint64_t x99;
uint64_t x100;
fiat_p256_mulx_u64(&x99, &x100, x2, (arg1[3]));
uint64_t x101;
uint64_t x102;
fiat_p256_mulx_u64(&x101, &x102, x2, (arg1[2]));
uint64_t x103;
uint64_t x104;
fiat_p256_mulx_u64(&x103, &x104, x2, (arg1[1]));
uint64_t x105;
uint64_t x106;
fiat_p256_mulx_u64(&x105, &x106, x2, (arg1[0]));
uint64_t x107;
fiat_p256_uint1 x108;
fiat_p256_addcarryx_u64(&x107, &x108, 0x0, x103, x106);
uint64_t x109;
fiat_p256_uint1 x110;
fiat_p256_addcarryx_u64(&x109, &x110, x108, x101, x104);
uint64_t x111;
fiat_p256_uint1 x112;
fiat_p256_addcarryx_u64(&x111, &x112, x110, x99, x102);
uint64_t x113;
fiat_p256_uint1 x114;
fiat_p256_addcarryx_u64(&x113, &x114, x112, 0x0, x100);
uint64_t x115;
fiat_p256_uint1 x116;
fiat_p256_addcarryx_u64(&x115, &x116, 0x0, x105, x89);
uint64_t x117;
fiat_p256_uint1 x118;
fiat_p256_addcarryx_u64(&x117, &x118, x116, x107, x91);
uint64_t x119;
fiat_p256_uint1 x120;
fiat_p256_addcarryx_u64(&x119, &x120, x118, x109, x93);
uint64_t x121;
fiat_p256_uint1 x122;
fiat_p256_addcarryx_u64(&x121, &x122, x120, x111, x95);
uint64_t x123;
fiat_p256_uint1 x124;
fiat_p256_addcarryx_u64(&x123, &x124, x122, x113, x97);
uint64_t x125;
uint64_t x126;
fiat_p256_mulx_u64(&x125, &x126, x115, UINT64_C(0xffffffff00000001));
uint64_t x127;
uint64_t x128;
fiat_p256_mulx_u64(&x127, &x128, x115, UINT32_C(0xffffffff));
uint64_t x129;
uint64_t x130;
fiat_p256_mulx_u64(&x129, &x130, x115, UINT64_C(0xffffffffffffffff));
uint64_t x131;
fiat_p256_uint1 x132;
fiat_p256_addcarryx_u64(&x131, &x132, 0x0, x127, x130);
uint64_t x133;
fiat_p256_uint1 x134;
fiat_p256_addcarryx_u64(&x133, &x134, x132, 0x0, x128);
uint64_t x135;
fiat_p256_uint1 x136;
fiat_p256_addcarryx_u64(&x135, &x136, x134, x125, 0x0);
uint64_t x137;
fiat_p256_uint1 x138;
fiat_p256_addcarryx_u64(&x137, &x138, x136, 0x0, x126);
uint64_t x139;
fiat_p256_uint1 x140;
fiat_p256_addcarryx_u64(&x139, &x140, 0x0, x129, x115);
uint64_t x141;
fiat_p256_uint1 x142;
fiat_p256_addcarryx_u64(&x141, &x142, x140, x131, x117);
uint64_t x143;
fiat_p256_uint1 x144;
fiat_p256_addcarryx_u64(&x143, &x144, x142, x133, x119);
uint64_t x145;
fiat_p256_uint1 x146;
fiat_p256_addcarryx_u64(&x145, &x146, x144, x135, x121);
uint64_t x147;
fiat_p256_uint1 x148;
fiat_p256_addcarryx_u64(&x147, &x148, x146, x137, x123);
uint64_t x149;
fiat_p256_uint1 x150;
fiat_p256_addcarryx_u64(&x149, &x150, x148, 0x0, x124);
uint64_t x151;
uint64_t x152;
fiat_p256_mulx_u64(&x151, &x152, x3, (arg1[3]));
uint64_t x153;
uint64_t x154;
fiat_p256_mulx_u64(&x153, &x154, x3, (arg1[2]));
uint64_t x155;
uint64_t x156;
fiat_p256_mulx_u64(&x155, &x156, x3, (arg1[1]));
uint64_t x157;
uint64_t x158;
fiat_p256_mulx_u64(&x157, &x158, x3, (arg1[0]));
uint64_t x159;
fiat_p256_uint1 x160;
fiat_p256_addcarryx_u64(&x159, &x160, 0x0, x155, x158);
uint64_t x161;
fiat_p256_uint1 x162;
fiat_p256_addcarryx_u64(&x161, &x162, x160, x153, x156);
uint64_t x163;
fiat_p256_uint1 x164;
fiat_p256_addcarryx_u64(&x163, &x164, x162, x151, x154);
uint64_t x165;
fiat_p256_uint1 x166;
fiat_p256_addcarryx_u64(&x165, &x166, x164, 0x0, x152);
uint64_t x167;
fiat_p256_uint1 x168;
fiat_p256_addcarryx_u64(&x167, &x168, 0x0, x157, x141);
uint64_t x169;
fiat_p256_uint1 x170;
fiat_p256_addcarryx_u64(&x169, &x170, x168, x159, x143);
uint64_t x171;
fiat_p256_uint1 x172;
fiat_p256_addcarryx_u64(&x171, &x172, x170, x161, x145);
uint64_t x173;
fiat_p256_uint1 x174;
fiat_p256_addcarryx_u64(&x173, &x174, x172, x163, x147);
uint64_t x175;
fiat_p256_uint1 x176;
fiat_p256_addcarryx_u64(&x175, &x176, x174, x165, x149);
uint64_t x177;
uint64_t x178;
fiat_p256_mulx_u64(&x177, &x178, x167, UINT64_C(0xffffffff00000001));
uint64_t x179;
uint64_t x180;
fiat_p256_mulx_u64(&x179, &x180, x167, UINT32_C(0xffffffff));
uint64_t x181;
uint64_t x182;
fiat_p256_mulx_u64(&x181, &x182, x167, UINT64_C(0xffffffffffffffff));
uint64_t x183;
fiat_p256_uint1 x184;
fiat_p256_addcarryx_u64(&x183, &x184, 0x0, x179, x182);
uint64_t x185;
fiat_p256_uint1 x186;
fiat_p256_addcarryx_u64(&x185, &x186, x184, 0x0, x180);
uint64_t x187;
fiat_p256_uint1 x188;
fiat_p256_addcarryx_u64(&x187, &x188, x186, x177, 0x0);
uint64_t x189;
fiat_p256_uint1 x190;
fiat_p256_addcarryx_u64(&x189, &x190, x188, 0x0, x178);
uint64_t x191;
fiat_p256_uint1 x192;
fiat_p256_addcarryx_u64(&x191, &x192, 0x0, x181, x167);
uint64_t x193;
fiat_p256_uint1 x194;
fiat_p256_addcarryx_u64(&x193, &x194, x192, x183, x169);
uint64_t x195;
fiat_p256_uint1 x196;
fiat_p256_addcarryx_u64(&x195, &x196, x194, x185, x171);
uint64_t x197;
fiat_p256_uint1 x198;
fiat_p256_addcarryx_u64(&x197, &x198, x196, x187, x173);
uint64_t x199;
fiat_p256_uint1 x200;
fiat_p256_addcarryx_u64(&x199, &x200, x198, x189, x175);
uint64_t x201;
fiat_p256_uint1 x202;
fiat_p256_addcarryx_u64(&x201, &x202, x200, 0x0, x176);
uint64_t x203;
fiat_p256_uint1 x204;
fiat_p256_subborrowx_u64(&x203, &x204, 0x0, x193, UINT64_C(0xffffffffffffffff));
uint64_t x205;
fiat_p256_uint1 x206;
fiat_p256_subborrowx_u64(&x205, &x206, x204, x195, UINT32_C(0xffffffff));
uint64_t x207;
fiat_p256_uint1 x208;
fiat_p256_subborrowx_u64(&x207, &x208, x206, x197, 0x0);
uint64_t x209;
fiat_p256_uint1 x210;
fiat_p256_subborrowx_u64(&x209, &x210, x208, x199, UINT64_C(0xffffffff00000001));
uint64_t x211;
fiat_p256_uint1 x212;
fiat_p256_subborrowx_u64(&x211, &x212, x210, x201, 0x0);
uint64_t x213;
fiat_p256_cmovznz_u64(&x213, x212, x203, x193);
uint64_t x214;
fiat_p256_cmovznz_u64(&x214, x212, x205, x195);
uint64_t x215;
fiat_p256_cmovznz_u64(&x215, x212, x207, x197);
uint64_t x216;
fiat_p256_cmovznz_u64(&x216, x212, x209, x199);
out1[0] = x213;
out1[1] = x214;
out1[2] = x215;
out1[3] = x216;
}
/*
* 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, (arg2[0]), (arg1[0]));
uint64_t x3;
fiat_p256_uint1 x4;
fiat_p256_addcarryx_u64(&x3, &x4, x2, (arg2[1]), (arg1[1]));
uint64_t x5;
fiat_p256_uint1 x6;
fiat_p256_addcarryx_u64(&x5, &x6, x4, (arg2[2]), (arg1[2]));
uint64_t x7;
fiat_p256_uint1 x8;
fiat_p256_addcarryx_u64(&x7, &x8, x6, (arg2[3]), (arg1[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;
}
/*
* 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, (x9 & UINT64_C(0xffffffffffffffff)), x1);
uint64_t x12;
fiat_p256_uint1 x13;
fiat_p256_addcarryx_u64(&x12, &x13, x11, (x9 & UINT32_C(0xffffffff)), x3);
uint64_t x14;
fiat_p256_uint1 x15;
fiat_p256_addcarryx_u64(&x14, &x15, x13, 0x0, x5);
uint64_t x16;
fiat_p256_uint1 x17;
fiat_p256_addcarryx_u64(&x16, &x17, x15, (x9 & UINT64_C(0xffffffff00000001)), x7);
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/*
* 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, (x9 & UINT64_C(0xffffffffffffffff)), x1);
uint64_t x12;
fiat_p256_uint1 x13;
fiat_p256_addcarryx_u64(&x12, &x13, x11, (x9 & UINT32_C(0xffffffff)), x3);
uint64_t x14;
fiat_p256_uint1 x15;
fiat_p256_addcarryx_u64(&x14, &x15, x13, 0x0, x5);
uint64_t x16;
fiat_p256_uint1 x17;
fiat_p256_addcarryx_u64(&x16, &x17, x15, (x9 & UINT64_C(0xffffffff00000001)), x7);
out1[0] = x10;
out1[1] = x12;
out1[2] = x14;
out1[3] = x16;
}
/*
* 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, x4, x7);
uint64_t x10;
fiat_p256_uint1 x11;
fiat_p256_addcarryx_u64(&x10, &x11, x9, 0x0, x5);
uint64_t x12;
fiat_p256_uint1 x13;
fiat_p256_addcarryx_u64(&x12, &x13, x11, x2, 0x0);
uint64_t x14;
fiat_p256_uint1 x15;
fiat_p256_addcarryx_u64(&x14, &x15, 0x0, x6, x1);
uint64_t x16;
fiat_p256_uint1 x17;
fiat_p256_addcarryx_u64(&x16, &x17, x15, x8, 0x0);
uint64_t x18;
fiat_p256_uint1 x19;
fiat_p256_addcarryx_u64(&x18, &x19, x17, x10, 0x0);
uint64_t x20;
fiat_p256_uint1 x21;
fiat_p256_addcarryx_u64(&x20, &x21, x19, x12, 0x0);
uint64_t x22;
fiat_p256_uint1 x23;
fiat_p256_addcarryx_u64(&x22, &x23, x13, 0x0, x3);
uint64_t x24;
fiat_p256_uint1 x25;
fiat_p256_addcarryx_u64(&x24, &x25, x21, x22, 0x0);
uint64_t x26;
fiat_p256_uint1 x27;
fiat_p256_addcarryx_u64(&x26, &x27, 0x0, (arg1[1]), x16);
uint64_t x28;
fiat_p256_uint1 x29;
fiat_p256_addcarryx_u64(&x28, &x29, x27, 0x0, x18);
uint64_t x30;
fiat_p256_uint1 x31;
fiat_p256_addcarryx_u64(&x30, &x31, x29, 0x0, x20);
uint64_t x32;
fiat_p256_uint1 x33;
fiat_p256_addcarryx_u64(&x32, &x33, x31, 0x0, x24);
uint64_t x34;
fiat_p256_uint1 x35;
fiat_p256_addcarryx_u64(&x34, &x35, x25, 0x0, 0x0);
uint64_t x36;
fiat_p256_uint1 x37;
fiat_p256_addcarryx_u64(&x36, &x37, x33, 0x0, (fiat_p256_uint1)x34);
uint64_t x38;
uint64_t x39;
fiat_p256_mulx_u64(&x38, &x39, x26, UINT64_C(0xffffffff00000001));
uint64_t x40;
uint64_t x41;
fiat_p256_mulx_u64(&x40, &x41, x26, UINT32_C(0xffffffff));
uint64_t x42;
uint64_t x43;
fiat_p256_mulx_u64(&x42, &x43, x26, UINT64_C(0xffffffffffffffff));
uint64_t x44;
fiat_p256_uint1 x45;
fiat_p256_addcarryx_u64(&x44, &x45, 0x0, x40, x43);
uint64_t x46;
fiat_p256_uint1 x47;
fiat_p256_addcarryx_u64(&x46, &x47, x45, 0x0, x41);
uint64_t x48;
fiat_p256_uint1 x49;
fiat_p256_addcarryx_u64(&x48, &x49, x47, x38, 0x0);
uint64_t x50;
fiat_p256_uint1 x51;
fiat_p256_addcarryx_u64(&x50, &x51, 0x0, x42, x26);
uint64_t x52;
fiat_p256_uint1 x53;
fiat_p256_addcarryx_u64(&x52, &x53, x51, x44, x28);
uint64_t x54;
fiat_p256_uint1 x55;
fiat_p256_addcarryx_u64(&x54, &x55, x53, x46, x30);
uint64_t x56;
fiat_p256_uint1 x57;
fiat_p256_addcarryx_u64(&x56, &x57, x55, x48, x32);
uint64_t x58;
fiat_p256_uint1 x59;
fiat_p256_addcarryx_u64(&x58, &x59, x49, 0x0, x39);
uint64_t x60;
fiat_p256_uint1 x61;
fiat_p256_addcarryx_u64(&x60, &x61, x57, x58, (fiat_p256_uint1)x36);
uint64_t x62;
fiat_p256_uint1 x63;
fiat_p256_addcarryx_u64(&x62, &x63, 0x0, (arg1[2]), x52);
uint64_t x64;
fiat_p256_uint1 x65;
fiat_p256_addcarryx_u64(&x64, &x65, x63, 0x0, x54);
uint64_t x66;
fiat_p256_uint1 x67;
fiat_p256_addcarryx_u64(&x66, &x67, x65, 0x0, x56);
uint64_t x68;
fiat_p256_uint1 x69;
fiat_p256_addcarryx_u64(&x68, &x69, x67, 0x0, x60);
uint64_t x70;