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curve25519_32.h
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curve25519_32.h
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/*
* Copyright (c) 2015-2020 the fiat-crypto authors.
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
#include <stdint.h>
typedef unsigned char fiat_25519_uint1;
typedef signed char fiat_25519_int1;
#ifdef __GNUC__
# define FIAT_25519_FIAT_INLINE __inline__
#else
# define FIAT_25519_FIAT_INLINE
#endif
/* The type fiat_25519_loose_field_element is a field element with loose bounds. */
/* Bounds: [[0x0 ~> 0xc000000], [0x0 ~> 0x6000000], [0x0 ~> 0xc000000], [0x0 ~> 0x6000000], [0x0 ~> 0xc000000], [0x0 ~> 0x6000000], [0x0 ~> 0xc000000], [0x0 ~> 0x6000000], [0x0 ~> 0xc000000], [0x0 ~> 0x6000000]] */
typedef uint32_t fiat_25519_loose_field_element[10];
/* The type fiat_25519_tight_field_element is a field element with tight bounds. */
/* Bounds: [[0x0 ~> 0x4000000], [0x0 ~> 0x2000000], [0x0 ~> 0x4000000], [0x0 ~> 0x2000000], [0x0 ~> 0x4000000], [0x0 ~> 0x2000000], [0x0 ~> 0x4000000], [0x0 ~> 0x2000000], [0x0 ~> 0x4000000], [0x0 ~> 0x2000000]] */
typedef uint32_t fiat_25519_tight_field_element[10];
#if (-1 & 3) != 3
#error "This code only works on a two's complement system"
#endif
#if !defined(FIAT_25519_NO_ASM) && (defined(__GNUC__) || defined(__clang__))
static __inline__ uint32_t fiat_25519_value_barrier_u32(uint32_t a) {
__asm__("" : "+r"(a) : /* no inputs */);
return a;
}
#else
# define fiat_25519_value_barrier_u32(x) (x)
#endif
/*
* The function fiat_25519_addcarryx_u26 is an addition with carry.
*
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^26
* out2 = ⌊(arg1 + arg2 + arg3) / 2^26⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x3ffffff]
* arg3: [0x0 ~> 0x3ffffff]
* Output Bounds:
* out1: [0x0 ~> 0x3ffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u26(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
uint32_t x1;
uint32_t x2;
fiat_25519_uint1 x3;
x1 = ((arg1 + arg2) + arg3);
x2 = (x1 & UINT32_C(0x3ffffff));
x3 = (fiat_25519_uint1)(x1 >> 26);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_25519_subborrowx_u26 is a subtraction with borrow.
*
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^26
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^26⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x3ffffff]
* arg3: [0x0 ~> 0x3ffffff]
* Output Bounds:
* out1: [0x0 ~> 0x3ffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u26(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
int32_t x1;
fiat_25519_int1 x2;
uint32_t x3;
x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3);
x2 = (fiat_25519_int1)(x1 >> 26);
x3 = (x1 & UINT32_C(0x3ffffff));
*out1 = x3;
*out2 = (fiat_25519_uint1)(0x0 - x2);
}
/*
* The function fiat_25519_addcarryx_u25 is an addition with carry.
*
* Postconditions:
* out1 = (arg1 + arg2 + arg3) mod 2^25
* out2 = ⌊(arg1 + arg2 + arg3) / 2^25⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x1ffffff]
* arg3: [0x0 ~> 0x1ffffff]
* Output Bounds:
* out1: [0x0 ~> 0x1ffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_25519_FIAT_INLINE void fiat_25519_addcarryx_u25(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
uint32_t x1;
uint32_t x2;
fiat_25519_uint1 x3;
x1 = ((arg1 + arg2) + arg3);
x2 = (x1 & UINT32_C(0x1ffffff));
x3 = (fiat_25519_uint1)(x1 >> 25);
*out1 = x2;
*out2 = x3;
}
/*
* The function fiat_25519_subborrowx_u25 is a subtraction with borrow.
*
* Postconditions:
* out1 = (-arg1 + arg2 + -arg3) mod 2^25
* out2 = -⌊(-arg1 + arg2 + -arg3) / 2^25⌋
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0x1ffffff]
* arg3: [0x0 ~> 0x1ffffff]
* Output Bounds:
* out1: [0x0 ~> 0x1ffffff]
* out2: [0x0 ~> 0x1]
*/
static FIAT_25519_FIAT_INLINE void fiat_25519_subborrowx_u25(uint32_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
int32_t x1;
fiat_25519_int1 x2;
uint32_t x3;
x1 = ((int32_t)(arg2 - arg1) - (int32_t)arg3);
x2 = (fiat_25519_int1)(x1 >> 25);
x3 = (x1 & UINT32_C(0x1ffffff));
*out1 = x3;
*out2 = (fiat_25519_uint1)(0x0 - x2);
}
/*
* The function fiat_25519_cmovznz_u32 is a single-word conditional move.
*
* Postconditions:
* out1 = (if arg1 = 0 then arg2 else arg3)
*
* Input Bounds:
* arg1: [0x0 ~> 0x1]
* arg2: [0x0 ~> 0xffffffff]
* arg3: [0x0 ~> 0xffffffff]
* Output Bounds:
* out1: [0x0 ~> 0xffffffff]
*/
static FIAT_25519_FIAT_INLINE void fiat_25519_cmovznz_u32(uint32_t* out1, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) {
fiat_25519_uint1 x1;
uint32_t x2;
uint32_t x3;
x1 = (!(!arg1));
x2 = ((fiat_25519_int1)(0x0 - x1) & UINT32_C(0xffffffff));
x3 = ((fiat_25519_value_barrier_u32(x2) & arg3) | (fiat_25519_value_barrier_u32((~x2)) & arg2));
*out1 = x3;
}
/*
* The function fiat_25519_carry_mul multiplies two field elements and reduces the result.
*
* Postconditions:
* eval out1 mod m = (eval arg1 * eval arg2) mod m
*
*/
static void fiat_25519_carry_mul(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1, const fiat_25519_loose_field_element arg2) {
uint64_t x1;
uint64_t x2;
uint64_t x3;
uint64_t x4;
uint64_t x5;
uint64_t x6;
uint64_t x7;
uint64_t x8;
uint64_t x9;
uint64_t x10;
uint64_t x11;
uint64_t x12;
uint64_t x13;
uint64_t x14;
uint64_t x15;
uint64_t x16;
uint64_t x17;
uint64_t x18;
uint64_t x19;
uint64_t x20;
uint64_t x21;
uint64_t x22;
uint64_t x23;
uint64_t x24;
uint64_t x25;
uint64_t x26;
uint64_t x27;
uint64_t x28;
uint64_t x29;
uint64_t x30;
uint64_t x31;
uint64_t x32;
uint64_t x33;
uint64_t x34;
uint64_t x35;
uint64_t x36;
uint64_t x37;
uint64_t x38;
uint64_t x39;
uint64_t x40;
uint64_t x41;
uint64_t x42;
uint64_t x43;
uint64_t x44;
uint64_t x45;
uint64_t x46;
uint64_t x47;
uint64_t x48;
uint64_t x49;
uint64_t x50;
uint64_t x51;
uint64_t x52;
uint64_t x53;
uint64_t x54;
uint64_t x55;
uint64_t x56;
uint64_t x57;
uint64_t x58;
uint64_t x59;
uint64_t x60;
uint64_t x61;
uint64_t x62;
uint64_t x63;
uint64_t x64;
uint64_t x65;
uint64_t x66;
uint64_t x67;
uint64_t x68;
uint64_t x69;
uint64_t x70;
uint64_t x71;
uint64_t x72;
uint64_t x73;
uint64_t x74;
uint64_t x75;
uint64_t x76;
uint64_t x77;
uint64_t x78;
uint64_t x79;
uint64_t x80;
uint64_t x81;
uint64_t x82;
uint64_t x83;
uint64_t x84;
uint64_t x85;
uint64_t x86;
uint64_t x87;
uint64_t x88;
uint64_t x89;
uint64_t x90;
uint64_t x91;
uint64_t x92;
uint64_t x93;
uint64_t x94;
uint64_t x95;
uint64_t x96;
uint64_t x97;
uint64_t x98;
uint64_t x99;
uint64_t x100;
uint64_t x101;
uint64_t x102;
uint32_t x103;
uint64_t x104;
uint64_t x105;
uint64_t x106;
uint64_t x107;
uint64_t x108;
uint64_t x109;
uint64_t x110;
uint64_t x111;
uint64_t x112;
uint64_t x113;
uint64_t x114;
uint32_t x115;
uint64_t x116;
uint64_t x117;
uint32_t x118;
uint64_t x119;
uint64_t x120;
uint32_t x121;
uint64_t x122;
uint64_t x123;
uint32_t x124;
uint64_t x125;
uint64_t x126;
uint32_t x127;
uint64_t x128;
uint64_t x129;
uint32_t x130;
uint64_t x131;
uint64_t x132;
uint32_t x133;
uint64_t x134;
uint64_t x135;
uint32_t x136;
uint64_t x137;
uint64_t x138;
uint32_t x139;
uint64_t x140;
uint64_t x141;
uint32_t x142;
uint32_t x143;
uint32_t x144;
fiat_25519_uint1 x145;
uint32_t x146;
uint32_t x147;
x1 = ((uint64_t)(arg1[9]) * ((arg2[9]) * UINT8_C(0x26)));
x2 = ((uint64_t)(arg1[9]) * ((arg2[8]) * UINT8_C(0x13)));
x3 = ((uint64_t)(arg1[9]) * ((arg2[7]) * UINT8_C(0x26)));
x4 = ((uint64_t)(arg1[9]) * ((arg2[6]) * UINT8_C(0x13)));
x5 = ((uint64_t)(arg1[9]) * ((arg2[5]) * UINT8_C(0x26)));
x6 = ((uint64_t)(arg1[9]) * ((arg2[4]) * UINT8_C(0x13)));
x7 = ((uint64_t)(arg1[9]) * ((arg2[3]) * UINT8_C(0x26)));
x8 = ((uint64_t)(arg1[9]) * ((arg2[2]) * UINT8_C(0x13)));
x9 = ((uint64_t)(arg1[9]) * ((arg2[1]) * UINT8_C(0x26)));
x10 = ((uint64_t)(arg1[8]) * ((arg2[9]) * UINT8_C(0x13)));
x11 = ((uint64_t)(arg1[8]) * ((arg2[8]) * UINT8_C(0x13)));
x12 = ((uint64_t)(arg1[8]) * ((arg2[7]) * UINT8_C(0x13)));
x13 = ((uint64_t)(arg1[8]) * ((arg2[6]) * UINT8_C(0x13)));
x14 = ((uint64_t)(arg1[8]) * ((arg2[5]) * UINT8_C(0x13)));
x15 = ((uint64_t)(arg1[8]) * ((arg2[4]) * UINT8_C(0x13)));
x16 = ((uint64_t)(arg1[8]) * ((arg2[3]) * UINT8_C(0x13)));
x17 = ((uint64_t)(arg1[8]) * ((arg2[2]) * UINT8_C(0x13)));
x18 = ((uint64_t)(arg1[7]) * ((arg2[9]) * UINT8_C(0x26)));
x19 = ((uint64_t)(arg1[7]) * ((arg2[8]) * UINT8_C(0x13)));
x20 = ((uint64_t)(arg1[7]) * ((arg2[7]) * UINT8_C(0x26)));
x21 = ((uint64_t)(arg1[7]) * ((arg2[6]) * UINT8_C(0x13)));
x22 = ((uint64_t)(arg1[7]) * ((arg2[5]) * UINT8_C(0x26)));
x23 = ((uint64_t)(arg1[7]) * ((arg2[4]) * UINT8_C(0x13)));
x24 = ((uint64_t)(arg1[7]) * ((arg2[3]) * UINT8_C(0x26)));
x25 = ((uint64_t)(arg1[6]) * ((arg2[9]) * UINT8_C(0x13)));
x26 = ((uint64_t)(arg1[6]) * ((arg2[8]) * UINT8_C(0x13)));
x27 = ((uint64_t)(arg1[6]) * ((arg2[7]) * UINT8_C(0x13)));
x28 = ((uint64_t)(arg1[6]) * ((arg2[6]) * UINT8_C(0x13)));
x29 = ((uint64_t)(arg1[6]) * ((arg2[5]) * UINT8_C(0x13)));
x30 = ((uint64_t)(arg1[6]) * ((arg2[4]) * UINT8_C(0x13)));
x31 = ((uint64_t)(arg1[5]) * ((arg2[9]) * UINT8_C(0x26)));
x32 = ((uint64_t)(arg1[5]) * ((arg2[8]) * UINT8_C(0x13)));
x33 = ((uint64_t)(arg1[5]) * ((arg2[7]) * UINT8_C(0x26)));
x34 = ((uint64_t)(arg1[5]) * ((arg2[6]) * UINT8_C(0x13)));
x35 = ((uint64_t)(arg1[5]) * ((arg2[5]) * UINT8_C(0x26)));
x36 = ((uint64_t)(arg1[4]) * ((arg2[9]) * UINT8_C(0x13)));
x37 = ((uint64_t)(arg1[4]) * ((arg2[8]) * UINT8_C(0x13)));
x38 = ((uint64_t)(arg1[4]) * ((arg2[7]) * UINT8_C(0x13)));
x39 = ((uint64_t)(arg1[4]) * ((arg2[6]) * UINT8_C(0x13)));
x40 = ((uint64_t)(arg1[3]) * ((arg2[9]) * UINT8_C(0x26)));
x41 = ((uint64_t)(arg1[3]) * ((arg2[8]) * UINT8_C(0x13)));
x42 = ((uint64_t)(arg1[3]) * ((arg2[7]) * UINT8_C(0x26)));
x43 = ((uint64_t)(arg1[2]) * ((arg2[9]) * UINT8_C(0x13)));
x44 = ((uint64_t)(arg1[2]) * ((arg2[8]) * UINT8_C(0x13)));
x45 = ((uint64_t)(arg1[1]) * ((arg2[9]) * UINT8_C(0x26)));
x46 = ((uint64_t)(arg1[9]) * (arg2[0]));
x47 = ((uint64_t)(arg1[8]) * (arg2[1]));
x48 = ((uint64_t)(arg1[8]) * (arg2[0]));
x49 = ((uint64_t)(arg1[7]) * (arg2[2]));
x50 = ((uint64_t)(arg1[7]) * ((arg2[1]) * 0x2));
x51 = ((uint64_t)(arg1[7]) * (arg2[0]));
x52 = ((uint64_t)(arg1[6]) * (arg2[3]));
x53 = ((uint64_t)(arg1[6]) * (arg2[2]));
x54 = ((uint64_t)(arg1[6]) * (arg2[1]));
x55 = ((uint64_t)(arg1[6]) * (arg2[0]));
x56 = ((uint64_t)(arg1[5]) * (arg2[4]));
x57 = ((uint64_t)(arg1[5]) * ((arg2[3]) * 0x2));
x58 = ((uint64_t)(arg1[5]) * (arg2[2]));
x59 = ((uint64_t)(arg1[5]) * ((arg2[1]) * 0x2));
x60 = ((uint64_t)(arg1[5]) * (arg2[0]));
x61 = ((uint64_t)(arg1[4]) * (arg2[5]));
x62 = ((uint64_t)(arg1[4]) * (arg2[4]));
x63 = ((uint64_t)(arg1[4]) * (arg2[3]));
x64 = ((uint64_t)(arg1[4]) * (arg2[2]));
x65 = ((uint64_t)(arg1[4]) * (arg2[1]));
x66 = ((uint64_t)(arg1[4]) * (arg2[0]));
x67 = ((uint64_t)(arg1[3]) * (arg2[6]));
x68 = ((uint64_t)(arg1[3]) * ((arg2[5]) * 0x2));
x69 = ((uint64_t)(arg1[3]) * (arg2[4]));
x70 = ((uint64_t)(arg1[3]) * ((arg2[3]) * 0x2));
x71 = ((uint64_t)(arg1[3]) * (arg2[2]));
x72 = ((uint64_t)(arg1[3]) * ((arg2[1]) * 0x2));
x73 = ((uint64_t)(arg1[3]) * (arg2[0]));
x74 = ((uint64_t)(arg1[2]) * (arg2[7]));
x75 = ((uint64_t)(arg1[2]) * (arg2[6]));
x76 = ((uint64_t)(arg1[2]) * (arg2[5]));
x77 = ((uint64_t)(arg1[2]) * (arg2[4]));
x78 = ((uint64_t)(arg1[2]) * (arg2[3]));
x79 = ((uint64_t)(arg1[2]) * (arg2[2]));
x80 = ((uint64_t)(arg1[2]) * (arg2[1]));
x81 = ((uint64_t)(arg1[2]) * (arg2[0]));
x82 = ((uint64_t)(arg1[1]) * (arg2[8]));
x83 = ((uint64_t)(arg1[1]) * ((arg2[7]) * 0x2));
x84 = ((uint64_t)(arg1[1]) * (arg2[6]));
x85 = ((uint64_t)(arg1[1]) * ((arg2[5]) * 0x2));
x86 = ((uint64_t)(arg1[1]) * (arg2[4]));
x87 = ((uint64_t)(arg1[1]) * ((arg2[3]) * 0x2));
x88 = ((uint64_t)(arg1[1]) * (arg2[2]));
x89 = ((uint64_t)(arg1[1]) * ((arg2[1]) * 0x2));
x90 = ((uint64_t)(arg1[1]) * (arg2[0]));
x91 = ((uint64_t)(arg1[0]) * (arg2[9]));
x92 = ((uint64_t)(arg1[0]) * (arg2[8]));
x93 = ((uint64_t)(arg1[0]) * (arg2[7]));
x94 = ((uint64_t)(arg1[0]) * (arg2[6]));
x95 = ((uint64_t)(arg1[0]) * (arg2[5]));
x96 = ((uint64_t)(arg1[0]) * (arg2[4]));
x97 = ((uint64_t)(arg1[0]) * (arg2[3]));
x98 = ((uint64_t)(arg1[0]) * (arg2[2]));
x99 = ((uint64_t)(arg1[0]) * (arg2[1]));
x100 = ((uint64_t)(arg1[0]) * (arg2[0]));
x101 = (x100 + (x45 + (x44 + (x42 + (x39 + (x35 + (x30 + (x24 + (x17 + x9)))))))));
x102 = (x101 >> 26);
x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff));
x104 = (x91 + (x82 + (x74 + (x67 + (x61 + (x56 + (x52 + (x49 + (x47 + x46)))))))));
x105 = (x92 + (x83 + (x75 + (x68 + (x62 + (x57 + (x53 + (x50 + (x48 + x1)))))))));
x106 = (x93 + (x84 + (x76 + (x69 + (x63 + (x58 + (x54 + (x51 + (x10 + x2)))))))));
x107 = (x94 + (x85 + (x77 + (x70 + (x64 + (x59 + (x55 + (x18 + (x11 + x3)))))))));
x108 = (x95 + (x86 + (x78 + (x71 + (x65 + (x60 + (x25 + (x19 + (x12 + x4)))))))));
x109 = (x96 + (x87 + (x79 + (x72 + (x66 + (x31 + (x26 + (x20 + (x13 + x5)))))))));
x110 = (x97 + (x88 + (x80 + (x73 + (x36 + (x32 + (x27 + (x21 + (x14 + x6)))))))));
x111 = (x98 + (x89 + (x81 + (x40 + (x37 + (x33 + (x28 + (x22 + (x15 + x7)))))))));
x112 = (x99 + (x90 + (x43 + (x41 + (x38 + (x34 + (x29 + (x23 + (x16 + x8)))))))));
x113 = (x102 + x112);
x114 = (x113 >> 25);
x115 = (uint32_t)(x113 & UINT32_C(0x1ffffff));
x116 = (x114 + x111);
x117 = (x116 >> 26);
x118 = (uint32_t)(x116 & UINT32_C(0x3ffffff));
x119 = (x117 + x110);
x120 = (x119 >> 25);
x121 = (uint32_t)(x119 & UINT32_C(0x1ffffff));
x122 = (x120 + x109);
x123 = (x122 >> 26);
x124 = (uint32_t)(x122 & UINT32_C(0x3ffffff));
x125 = (x123 + x108);
x126 = (x125 >> 25);
x127 = (uint32_t)(x125 & UINT32_C(0x1ffffff));
x128 = (x126 + x107);
x129 = (x128 >> 26);
x130 = (uint32_t)(x128 & UINT32_C(0x3ffffff));
x131 = (x129 + x106);
x132 = (x131 >> 25);
x133 = (uint32_t)(x131 & UINT32_C(0x1ffffff));
x134 = (x132 + x105);
x135 = (x134 >> 26);
x136 = (uint32_t)(x134 & UINT32_C(0x3ffffff));
x137 = (x135 + x104);
x138 = (x137 >> 25);
x139 = (uint32_t)(x137 & UINT32_C(0x1ffffff));
x140 = (x138 * UINT8_C(0x13));
x141 = (x103 + x140);
x142 = (uint32_t)(x141 >> 26);
x143 = (uint32_t)(x141 & UINT32_C(0x3ffffff));
x144 = (x142 + x115);
x145 = (fiat_25519_uint1)(x144 >> 25);
x146 = (x144 & UINT32_C(0x1ffffff));
x147 = (x145 + x118);
out1[0] = x143;
out1[1] = x146;
out1[2] = x147;
out1[3] = x121;
out1[4] = x124;
out1[5] = x127;
out1[6] = x130;
out1[7] = x133;
out1[8] = x136;
out1[9] = x139;
}
/*
* The function fiat_25519_carry_square squares a field element and reduces the result.
*
* Postconditions:
* eval out1 mod m = (eval arg1 * eval arg1) mod m
*
*/
static void fiat_25519_carry_square(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint64_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
uint64_t x11;
uint32_t x12;
uint32_t x13;
uint32_t x14;
uint32_t x15;
uint32_t x16;
uint32_t x17;
uint32_t x18;
uint64_t x19;
uint64_t x20;
uint64_t x21;
uint64_t x22;
uint64_t x23;
uint64_t x24;
uint64_t x25;
uint64_t x26;
uint64_t x27;
uint64_t x28;
uint64_t x29;
uint64_t x30;
uint64_t x31;
uint64_t x32;
uint64_t x33;
uint64_t x34;
uint64_t x35;
uint64_t x36;
uint64_t x37;
uint64_t x38;
uint64_t x39;
uint64_t x40;
uint64_t x41;
uint64_t x42;
uint64_t x43;
uint64_t x44;
uint64_t x45;
uint64_t x46;
uint64_t x47;
uint64_t x48;
uint64_t x49;
uint64_t x50;
uint64_t x51;
uint64_t x52;
uint64_t x53;
uint64_t x54;
uint64_t x55;
uint64_t x56;
uint64_t x57;
uint64_t x58;
uint64_t x59;
uint64_t x60;
uint64_t x61;
uint64_t x62;
uint64_t x63;
uint64_t x64;
uint64_t x65;
uint64_t x66;
uint64_t x67;
uint64_t x68;
uint64_t x69;
uint64_t x70;
uint64_t x71;
uint64_t x72;
uint64_t x73;
uint64_t x74;
uint64_t x75;
uint32_t x76;
uint64_t x77;
uint64_t x78;
uint64_t x79;
uint64_t x80;
uint64_t x81;
uint64_t x82;
uint64_t x83;
uint64_t x84;
uint64_t x85;
uint64_t x86;
uint64_t x87;
uint32_t x88;
uint64_t x89;
uint64_t x90;
uint32_t x91;
uint64_t x92;
uint64_t x93;
uint32_t x94;
uint64_t x95;
uint64_t x96;
uint32_t x97;
uint64_t x98;
uint64_t x99;
uint32_t x100;
uint64_t x101;
uint64_t x102;
uint32_t x103;
uint64_t x104;
uint64_t x105;
uint32_t x106;
uint64_t x107;
uint64_t x108;
uint32_t x109;
uint64_t x110;
uint64_t x111;
uint32_t x112;
uint64_t x113;
uint64_t x114;
uint32_t x115;
uint32_t x116;
uint32_t x117;
fiat_25519_uint1 x118;
uint32_t x119;
uint32_t x120;
x1 = ((arg1[9]) * UINT8_C(0x13));
x2 = (x1 * 0x2);
x3 = ((arg1[9]) * 0x2);
x4 = ((arg1[8]) * UINT8_C(0x13));
x5 = ((uint64_t)x4 * 0x2);
x6 = ((arg1[8]) * 0x2);
x7 = ((arg1[7]) * UINT8_C(0x13));
x8 = (x7 * 0x2);
x9 = ((arg1[7]) * 0x2);
x10 = ((arg1[6]) * UINT8_C(0x13));
x11 = ((uint64_t)x10 * 0x2);
x12 = ((arg1[6]) * 0x2);
x13 = ((arg1[5]) * UINT8_C(0x13));
x14 = ((arg1[5]) * 0x2);
x15 = ((arg1[4]) * 0x2);
x16 = ((arg1[3]) * 0x2);
x17 = ((arg1[2]) * 0x2);
x18 = ((arg1[1]) * 0x2);
x19 = ((uint64_t)(arg1[9]) * (x1 * 0x2));
x20 = ((uint64_t)(arg1[8]) * x2);
x21 = ((uint64_t)(arg1[8]) * x4);
x22 = ((arg1[7]) * ((uint64_t)x2 * 0x2));
x23 = ((arg1[7]) * x5);
x24 = ((uint64_t)(arg1[7]) * (x7 * 0x2));
x25 = ((uint64_t)(arg1[6]) * x2);
x26 = ((arg1[6]) * x5);
x27 = ((uint64_t)(arg1[6]) * x8);
x28 = ((uint64_t)(arg1[6]) * x10);
x29 = ((arg1[5]) * ((uint64_t)x2 * 0x2));
x30 = ((arg1[5]) * x5);
x31 = ((arg1[5]) * ((uint64_t)x8 * 0x2));
x32 = ((arg1[5]) * x11);
x33 = ((uint64_t)(arg1[5]) * (x13 * 0x2));
x34 = ((uint64_t)(arg1[4]) * x2);
x35 = ((arg1[4]) * x5);
x36 = ((uint64_t)(arg1[4]) * x8);
x37 = ((arg1[4]) * x11);
x38 = ((uint64_t)(arg1[4]) * x14);
x39 = ((uint64_t)(arg1[4]) * (arg1[4]));
x40 = ((arg1[3]) * ((uint64_t)x2 * 0x2));
x41 = ((arg1[3]) * x5);
x42 = ((arg1[3]) * ((uint64_t)x8 * 0x2));
x43 = ((uint64_t)(arg1[3]) * x12);
x44 = ((uint64_t)(arg1[3]) * (x14 * 0x2));
x45 = ((uint64_t)(arg1[3]) * x15);
x46 = ((uint64_t)(arg1[3]) * ((arg1[3]) * 0x2));
x47 = ((uint64_t)(arg1[2]) * x2);
x48 = ((arg1[2]) * x5);
x49 = ((uint64_t)(arg1[2]) * x9);
x50 = ((uint64_t)(arg1[2]) * x12);
x51 = ((uint64_t)(arg1[2]) * x14);
x52 = ((uint64_t)(arg1[2]) * x15);
x53 = ((uint64_t)(arg1[2]) * x16);
x54 = ((uint64_t)(arg1[2]) * (arg1[2]));
x55 = ((arg1[1]) * ((uint64_t)x2 * 0x2));
x56 = ((uint64_t)(arg1[1]) * x6);
x57 = ((uint64_t)(arg1[1]) * (x9 * 0x2));
x58 = ((uint64_t)(arg1[1]) * x12);
x59 = ((uint64_t)(arg1[1]) * (x14 * 0x2));
x60 = ((uint64_t)(arg1[1]) * x15);
x61 = ((uint64_t)(arg1[1]) * (x16 * 0x2));
x62 = ((uint64_t)(arg1[1]) * x17);
x63 = ((uint64_t)(arg1[1]) * ((arg1[1]) * 0x2));
x64 = ((uint64_t)(arg1[0]) * x3);
x65 = ((uint64_t)(arg1[0]) * x6);
x66 = ((uint64_t)(arg1[0]) * x9);
x67 = ((uint64_t)(arg1[0]) * x12);
x68 = ((uint64_t)(arg1[0]) * x14);
x69 = ((uint64_t)(arg1[0]) * x15);
x70 = ((uint64_t)(arg1[0]) * x16);
x71 = ((uint64_t)(arg1[0]) * x17);
x72 = ((uint64_t)(arg1[0]) * x18);
x73 = ((uint64_t)(arg1[0]) * (arg1[0]));
x74 = (x73 + (x55 + (x48 + (x42 + (x37 + x33)))));
x75 = (x74 >> 26);
x76 = (uint32_t)(x74 & UINT32_C(0x3ffffff));
x77 = (x64 + (x56 + (x49 + (x43 + x38))));
x78 = (x65 + (x57 + (x50 + (x44 + (x39 + x19)))));
x79 = (x66 + (x58 + (x51 + (x45 + x20))));
x80 = (x67 + (x59 + (x52 + (x46 + (x22 + x21)))));
x81 = (x68 + (x60 + (x53 + (x25 + x23))));
x82 = (x69 + (x61 + (x54 + (x29 + (x26 + x24)))));
x83 = (x70 + (x62 + (x34 + (x30 + x27))));
x84 = (x71 + (x63 + (x40 + (x35 + (x31 + x28)))));
x85 = (x72 + (x47 + (x41 + (x36 + x32))));
x86 = (x75 + x85);
x87 = (x86 >> 25);
x88 = (uint32_t)(x86 & UINT32_C(0x1ffffff));
x89 = (x87 + x84);
x90 = (x89 >> 26);
x91 = (uint32_t)(x89 & UINT32_C(0x3ffffff));
x92 = (x90 + x83);
x93 = (x92 >> 25);
x94 = (uint32_t)(x92 & UINT32_C(0x1ffffff));
x95 = (x93 + x82);
x96 = (x95 >> 26);
x97 = (uint32_t)(x95 & UINT32_C(0x3ffffff));
x98 = (x96 + x81);
x99 = (x98 >> 25);
x100 = (uint32_t)(x98 & UINT32_C(0x1ffffff));
x101 = (x99 + x80);
x102 = (x101 >> 26);
x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff));
x104 = (x102 + x79);
x105 = (x104 >> 25);
x106 = (uint32_t)(x104 & UINT32_C(0x1ffffff));
x107 = (x105 + x78);
x108 = (x107 >> 26);
x109 = (uint32_t)(x107 & UINT32_C(0x3ffffff));
x110 = (x108 + x77);
x111 = (x110 >> 25);
x112 = (uint32_t)(x110 & UINT32_C(0x1ffffff));
x113 = (x111 * UINT8_C(0x13));
x114 = (x76 + x113);
x115 = (uint32_t)(x114 >> 26);
x116 = (uint32_t)(x114 & UINT32_C(0x3ffffff));
x117 = (x115 + x88);
x118 = (fiat_25519_uint1)(x117 >> 25);
x119 = (x117 & UINT32_C(0x1ffffff));
x120 = (x118 + x91);
out1[0] = x116;
out1[1] = x119;
out1[2] = x120;
out1[3] = x94;
out1[4] = x97;
out1[5] = x100;
out1[6] = x103;
out1[7] = x106;
out1[8] = x109;
out1[9] = x112;
}
/*
* The function fiat_25519_carry reduces a field element.
*
* Postconditions:
* eval out1 mod m = eval arg1 mod m
*
*/
static void fiat_25519_carry(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
uint32_t x11;
uint32_t x12;
uint32_t x13;
uint32_t x14;
uint32_t x15;
uint32_t x16;
uint32_t x17;
uint32_t x18;
uint32_t x19;
uint32_t x20;
uint32_t x21;
uint32_t x22;
x1 = (arg1[0]);
x2 = ((x1 >> 26) + (arg1[1]));
x3 = ((x2 >> 25) + (arg1[2]));
x4 = ((x3 >> 26) + (arg1[3]));
x5 = ((x4 >> 25) + (arg1[4]));
x6 = ((x5 >> 26) + (arg1[5]));
x7 = ((x6 >> 25) + (arg1[6]));
x8 = ((x7 >> 26) + (arg1[7]));
x9 = ((x8 >> 25) + (arg1[8]));
x10 = ((x9 >> 26) + (arg1[9]));
x11 = ((x1 & UINT32_C(0x3ffffff)) + ((x10 >> 25) * UINT8_C(0x13)));
x12 = ((fiat_25519_uint1)(x11 >> 26) + (x2 & UINT32_C(0x1ffffff)));
x13 = (x11 & UINT32_C(0x3ffffff));
x14 = (x12 & UINT32_C(0x1ffffff));
x15 = ((fiat_25519_uint1)(x12 >> 25) + (x3 & UINT32_C(0x3ffffff)));
x16 = (x4 & UINT32_C(0x1ffffff));
x17 = (x5 & UINT32_C(0x3ffffff));
x18 = (x6 & UINT32_C(0x1ffffff));
x19 = (x7 & UINT32_C(0x3ffffff));
x20 = (x8 & UINT32_C(0x1ffffff));
x21 = (x9 & UINT32_C(0x3ffffff));
x22 = (x10 & UINT32_C(0x1ffffff));
out1[0] = x13;
out1[1] = x14;
out1[2] = x15;
out1[3] = x16;
out1[4] = x17;
out1[5] = x18;
out1[6] = x19;
out1[7] = x20;
out1[8] = x21;
out1[9] = x22;
}
/*
* The function fiat_25519_add adds two field elements.
*
* Postconditions:
* eval out1 mod m = (eval arg1 + eval arg2) mod m
*
*/
static void fiat_25519_add(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
x1 = ((arg1[0]) + (arg2[0]));
x2 = ((arg1[1]) + (arg2[1]));
x3 = ((arg1[2]) + (arg2[2]));
x4 = ((arg1[3]) + (arg2[3]));
x5 = ((arg1[4]) + (arg2[4]));
x6 = ((arg1[5]) + (arg2[5]));
x7 = ((arg1[6]) + (arg2[6]));
x8 = ((arg1[7]) + (arg2[7]));
x9 = ((arg1[8]) + (arg2[8]));
x10 = ((arg1[9]) + (arg2[9]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
out1[9] = x10;
}
/*
* The function fiat_25519_sub subtracts two field elements.
*
* Postconditions:
* eval out1 mod m = (eval arg1 - eval arg2) mod m
*
*/
static void fiat_25519_sub(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1, const fiat_25519_tight_field_element arg2) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
x1 = ((UINT32_C(0x7ffffda) + (arg1[0])) - (arg2[0]));
x2 = ((UINT32_C(0x3fffffe) + (arg1[1])) - (arg2[1]));
x3 = ((UINT32_C(0x7fffffe) + (arg1[2])) - (arg2[2]));
x4 = ((UINT32_C(0x3fffffe) + (arg1[3])) - (arg2[3]));
x5 = ((UINT32_C(0x7fffffe) + (arg1[4])) - (arg2[4]));
x6 = ((UINT32_C(0x3fffffe) + (arg1[5])) - (arg2[5]));
x7 = ((UINT32_C(0x7fffffe) + (arg1[6])) - (arg2[6]));
x8 = ((UINT32_C(0x3fffffe) + (arg1[7])) - (arg2[7]));
x9 = ((UINT32_C(0x7fffffe) + (arg1[8])) - (arg2[8]));
x10 = ((UINT32_C(0x3fffffe) + (arg1[9])) - (arg2[9]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
out1[9] = x10;
}
/*
* The function fiat_25519_opp negates a field element.
*
* Postconditions:
* eval out1 mod m = -eval arg1 mod m
*
*/
static void fiat_25519_opp(fiat_25519_loose_field_element out1, const fiat_25519_tight_field_element arg1) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
x1 = (UINT32_C(0x7ffffda) - (arg1[0]));
x2 = (UINT32_C(0x3fffffe) - (arg1[1]));
x3 = (UINT32_C(0x7fffffe) - (arg1[2]));
x4 = (UINT32_C(0x3fffffe) - (arg1[3]));
x5 = (UINT32_C(0x7fffffe) - (arg1[4]));
x6 = (UINT32_C(0x3fffffe) - (arg1[5]));
x7 = (UINT32_C(0x7fffffe) - (arg1[6]));
x8 = (UINT32_C(0x3fffffe) - (arg1[7]));
x9 = (UINT32_C(0x7fffffe) - (arg1[8]));
x10 = (UINT32_C(0x3fffffe) - (arg1[9]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
out1[9] = x10;
}
/*
* The function fiat_25519_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 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* arg3: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
* Output Bounds:
* out1: [[0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff], [0x0 ~> 0xffffffff]]
*/
static void fiat_25519_selectznz(uint32_t out1[10], fiat_25519_uint1 arg1, const uint32_t arg2[10], const uint32_t arg3[10]) {
uint32_t x1;
uint32_t x2;
uint32_t x3;
uint32_t x4;
uint32_t x5;
uint32_t x6;
uint32_t x7;
uint32_t x8;
uint32_t x9;
uint32_t x10;
fiat_25519_cmovznz_u32(&x1, arg1, (arg2[0]), (arg3[0]));
fiat_25519_cmovznz_u32(&x2, arg1, (arg2[1]), (arg3[1]));
fiat_25519_cmovznz_u32(&x3, arg1, (arg2[2]), (arg3[2]));
fiat_25519_cmovznz_u32(&x4, arg1, (arg2[3]), (arg3[3]));
fiat_25519_cmovznz_u32(&x5, arg1, (arg2[4]), (arg3[4]));
fiat_25519_cmovznz_u32(&x6, arg1, (arg2[5]), (arg3[5]));
fiat_25519_cmovznz_u32(&x7, arg1, (arg2[6]), (arg3[6]));
fiat_25519_cmovznz_u32(&x8, arg1, (arg2[7]), (arg3[7]));
fiat_25519_cmovznz_u32(&x9, arg1, (arg2[8]), (arg3[8]));
fiat_25519_cmovznz_u32(&x10, arg1, (arg2[9]), (arg3[9]));
out1[0] = x1;
out1[1] = x2;
out1[2] = x3;
out1[3] = x4;
out1[4] = x5;
out1[5] = x6;
out1[6] = x7;
out1[7] = x8;
out1[8] = x9;
out1[9] = x10;
}
/*
* The function fiat_25519_to_bytes serializes a field element to bytes in little-endian order.
*
* Postconditions:
* out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
*
* 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 ~> 0x7f]]
*/
static void fiat_25519_to_bytes(uint8_t out1[32], const fiat_25519_tight_field_element arg1) {
uint32_t x1;
fiat_25519_uint1 x2;
uint32_t x3;
fiat_25519_uint1 x4;
uint32_t x5;
fiat_25519_uint1 x6;