/* Autogenerated: 'src/ExtractionOCaml/unsaturated_solinas' --inline --static --use-value-barrier 25519 32 '(auto)' '2^255 - 19' carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes relax carry_scmul121666 */ /* curve description: 25519 */ /* machine_wordsize = 32 (from "32") */ /* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, relax, carry_scmul121666 */ /* n = 10 (from "(auto)") */ /* s-c = 2^255 - [(1, 19)] (from "2^255 - 19") */ /* tight_bounds_multiplier = 1 (from "") */ /* */ /* Computed values: */ /* carry_chain = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1] */ /* eval z = z[0] + (z[1] << 26) + (z[2] << 51) + (z[3] << 77) + (z[4] << 102) + (z[5] << 128) + (z[6] << 153) + (z[7] << 179) + (z[8] << 204) + (z[9] << 230) */ /* bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) */ /* balance = [0x7ffffda, 0x3fffffe, 0x7fffffe, 0x3fffffe, 0x7fffffe, 0x3fffffe, 0x7fffffe, 0x3fffffe, 0x7fffffe, 0x3fffffe] */ #include typedef unsigned char fiat_25519_uint1; typedef signed char fiat_25519_int1; #if defined(__GNUC__) || defined(__clang__) # 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 FIAT_25519_FIAT_INLINE 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 FIAT_25519_FIAT_INLINE 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 FIAT_25519_FIAT_INLINE 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 FIAT_25519_FIAT_INLINE 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 FIAT_25519_FIAT_INLINE 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 FIAT_25519_FIAT_INLINE 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 FIAT_25519_FIAT_INLINE 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 FIAT_25519_FIAT_INLINE 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; uint32_t x7; fiat_25519_uint1 x8; uint32_t x9; fiat_25519_uint1 x10; uint32_t x11; fiat_25519_uint1 x12; uint32_t x13; fiat_25519_uint1 x14; uint32_t x15; fiat_25519_uint1 x16; uint32_t x17; fiat_25519_uint1 x18; uint32_t x19; fiat_25519_uint1 x20; uint32_t x21; uint32_t x22; fiat_25519_uint1 x23; uint32_t x24; fiat_25519_uint1 x25; uint32_t x26; fiat_25519_uint1 x27; uint32_t x28; fiat_25519_uint1 x29; uint32_t x30; fiat_25519_uint1 x31; uint32_t x32; fiat_25519_uint1 x33; uint32_t x34; fiat_25519_uint1 x35; uint32_t x36; fiat_25519_uint1 x37; uint32_t x38; fiat_25519_uint1 x39; uint32_t x40; fiat_25519_uint1 x41; uint32_t x42; uint32_t x43; uint32_t x44; uint32_t x45; uint32_t x46; uint32_t x47; uint32_t x48; uint32_t x49; uint8_t x50; uint32_t x51; uint8_t x52; uint32_t x53; uint8_t x54; uint8_t x55; uint32_t x56; uint8_t x57; uint32_t x58; uint8_t x59; uint32_t x60; uint8_t x61; uint8_t x62; uint32_t x63; uint8_t x64; uint32_t x65; uint8_t x66; uint32_t x67; uint8_t x68; uint8_t x69; uint32_t x70; uint8_t x71; uint32_t x72; uint8_t x73; uint32_t x74; uint8_t x75; uint8_t x76; uint32_t x77; uint8_t x78; uint32_t x79; uint8_t x80; uint32_t x81; uint8_t x82; uint8_t x83; uint8_t x84; uint32_t x85; uint8_t x86; uint32_t x87; uint8_t x88; fiat_25519_uint1 x89; uint32_t x90; uint8_t x91; uint32_t x92; uint8_t x93; uint32_t x94; uint8_t x95; uint8_t x96; uint32_t x97; uint8_t x98; uint32_t x99; uint8_t x100; uint32_t x101; uint8_t x102; uint8_t x103; uint32_t x104; uint8_t x105; uint32_t x106; uint8_t x107; uint32_t x108; uint8_t x109; uint8_t x110; uint32_t x111; uint8_t x112; uint32_t x113; uint8_t x114; uint32_t x115; uint8_t x116; uint8_t x117; fiat_25519_subborrowx_u26(&x1, &x2, 0x0, (arg1[0]), UINT32_C(0x3ffffed)); fiat_25519_subborrowx_u25(&x3, &x4, x2, (arg1[1]), UINT32_C(0x1ffffff)); fiat_25519_subborrowx_u26(&x5, &x6, x4, (arg1[2]), UINT32_C(0x3ffffff)); fiat_25519_subborrowx_u25(&x7, &x8, x6, (arg1[3]), UINT32_C(0x1ffffff)); fiat_25519_subborrowx_u26(&x9, &x10, x8, (arg1[4]), UINT32_C(0x3ffffff)); fiat_25519_subborrowx_u25(&x11, &x12, x10, (arg1[5]), UINT32_C(0x1ffffff)); fiat_25519_subborrowx_u26(&x13, &x14, x12, (arg1[6]), UINT32_C(0x3ffffff)); fiat_25519_subborrowx_u25(&x15, &x16, x14, (arg1[7]), UINT32_C(0x1ffffff)); fiat_25519_subborrowx_u26(&x17, &x18, x16, (arg1[8]), UINT32_C(0x3ffffff)); fiat_25519_subborrowx_u25(&x19, &x20, x18, (arg1[9]), UINT32_C(0x1ffffff)); fiat_25519_cmovznz_u32(&x21, x20, 0x0, UINT32_C(0xffffffff)); fiat_25519_addcarryx_u26(&x22, &x23, 0x0, x1, (x21 & UINT32_C(0x3ffffed))); fiat_25519_addcarryx_u25(&x24, &x25, x23, x3, (x21 & UINT32_C(0x1ffffff))); fiat_25519_addcarryx_u26(&x26, &x27, x25, x5, (x21 & UINT32_C(0x3ffffff))); fiat_25519_addcarryx_u25(&x28, &x29, x27, x7, (x21 & UINT32_C(0x1ffffff))); fiat_25519_addcarryx_u26(&x30, &x31, x29, x9, (x21 & UINT32_C(0x3ffffff))); fiat_25519_addcarryx_u25(&x32, &x33, x31, x11, (x21 & UINT32_C(0x1ffffff))); fiat_25519_addcarryx_u26(&x34, &x35, x33, x13, (x21 & UINT32_C(0x3ffffff))); fiat_25519_addcarryx_u25(&x36, &x37, x35, x15, (x21 & UINT32_C(0x1ffffff))); fiat_25519_addcarryx_u26(&x38, &x39, x37, x17, (x21 & UINT32_C(0x3ffffff))); fiat_25519_addcarryx_u25(&x40, &x41, x39, x19, (x21 & UINT32_C(0x1ffffff))); x42 = (x40 << 6); x43 = (x38 << 4); x44 = (x36 << 3); x45 = (x34 * (uint32_t)0x2); x46 = (x30 << 6); x47 = (x28 << 5); x48 = (x26 << 3); x49 = (x24 << 2); x50 = (uint8_t)(x22 & UINT8_C(0xff)); x51 = (x22 >> 8); x52 = (uint8_t)(x51 & UINT8_C(0xff)); x53 = (x51 >> 8); x54 = (uint8_t)(x53 & UINT8_C(0xff)); x55 = (uint8_t)(x53 >> 8); x56 = (x49 + (uint32_t)x55); x57 = (uint8_t)(x56 & UINT8_C(0xff)); x58 = (x56 >> 8); x59 = (uint8_t)(x58 & UINT8_C(0xff)); x60 = (x58 >> 8); x61 = (uint8_t)(x60 & UINT8_C(0xff)); x62 = (uint8_t)(x60 >> 8); x63 = (x48 + (uint32_t)x62); x64 = (uint8_t)(x63 & UINT8_C(0xff)); x65 = (x63 >> 8); x66 = (uint8_t)(x65 & UINT8_C(0xff)); x67 = (x65 >> 8); x68 = (uint8_t)(x67 & UINT8_C(0xff)); x69 = (uint8_t)(x67 >> 8); x70 = (x47 + (uint32_t)x69); x71 = (uint8_t)(x70 & UINT8_C(0xff)); x72 = (x70 >> 8); x73 = (uint8_t)(x72 & UINT8_C(0xff)); x74 = (x72 >> 8); x75 = (uint8_t)(x74 & UINT8_C(0xff)); x76 = (uint8_t)(x74 >> 8); x77 = (x46 + (uint32_t)x76); x78 = (uint8_t)(x77 & UINT8_C(0xff)); x79 = (x77 >> 8); x80 = (uint8_t)(x79 & UINT8_C(0xff)); x81 = (x79 >> 8); x82 = (uint8_t)(x81 & UINT8_C(0xff)); x83 = (uint8_t)(x81 >> 8); x84 = (uint8_t)(x32 & UINT8_C(0xff)); x85 = (x32 >> 8); x86 = (uint8_t)(x85 & UINT8_C(0xff)); x87 = (x85 >> 8); x88 = (uint8_t)(x87 & UINT8_C(0xff)); x89 = (fiat_25519_uint1)(x87 >> 8); x90 = (x45 + (uint32_t)x89); x91 = (uint8_t)(x90 & UINT8_C(0xff)); x92 = (x90 >> 8); x93 = (uint8_t)(x92 & UINT8_C(0xff)); x94 = (x92 >> 8); x95 = (uint8_t)(x94 & UINT8_C(0xff)); x96 = (uint8_t)(x94 >> 8); x97 = (x44 + (uint32_t)x96); x98 = (uint8_t)(x97 & UINT8_C(0xff)); x99 = (x97 >> 8); x100 = (uint8_t)(x99 & UINT8_C(0xff)); x101 = (x99 >> 8); x102 = (uint8_t)(x101 & UINT8_C(0xff)); x103 = (uint8_t)(x101 >> 8); x104 = (x43 + (uint32_t)x103); x105 = (uint8_t)(x104 & UINT8_C(0xff)); x106 = (x104 >> 8); x107 = (uint8_t)(x106 & UINT8_C(0xff)); x108 = (x106 >> 8); x109 = (uint8_t)(x108 & UINT8_C(0xff)); x110 = (uint8_t)(x108 >> 8); x111 = (x42 + (uint32_t)x110); x112 = (uint8_t)(x111 & UINT8_C(0xff)); x113 = (x111 >> 8); x114 = (uint8_t)(x113 & UINT8_C(0xff)); x115 = (x113 >> 8); x116 = (uint8_t)(x115 & UINT8_C(0xff)); x117 = (uint8_t)(x115 >> 8); out1[0] = x50; out1[1] = x52; out1[2] = x54; out1[3] = x57; out1[4] = x59; out1[5] = x61; out1[6] = x64; out1[7] = x66; out1[8] = x68; out1[9] = x71; out1[10] = x73; out1[11] = x75; out1[12] = x78; out1[13] = x80; out1[14] = x82; out1[15] = x83; out1[16] = x84; out1[17] = x86; out1[18] = x88; out1[19] = x91; out1[20] = x93; out1[21] = x95; out1[22] = x98; out1[23] = x100; out1[24] = x102; out1[25] = x105; out1[26] = x107; out1[27] = x109; out1[28] = x112; out1[29] = x114; out1[30] = x116; out1[31] = x117; } /* * The function fiat_25519_from_bytes deserializes a field element from bytes in little-endian order. * * Postconditions: * eval out1 mod m = bytes_eval arg1 mod 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 ~> 0x7f]] */ static FIAT_25519_FIAT_INLINE void fiat_25519_from_bytes(fiat_25519_tight_field_element out1, const uint8_t arg1[32]) { 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; uint8_t x16; uint32_t x17; uint32_t x18; uint32_t x19; uint32_t x20; uint32_t x21; uint32_t x22; uint32_t x23; uint32_t x24; uint32_t x25; uint32_t x26; uint32_t x27; uint32_t x28; uint32_t x29; uint32_t x30; uint32_t x31; uint8_t x32; uint32_t x33; uint32_t x34; uint32_t x35; uint32_t x36; uint8_t x37; uint32_t x38; uint32_t x39; uint32_t x40; uint32_t x41; uint8_t x42; uint32_t x43; uint32_t x44; uint32_t x45; uint32_t x46; uint8_t x47; uint32_t x48; uint32_t x49; uint32_t x50; uint32_t x51; uint8_t x52; uint32_t x53; uint32_t x54; uint32_t x55; uint32_t x56; uint32_t x57; uint32_t x58; uint32_t x59; uint8_t x60; uint32_t x61; uint32_t x62; uint32_t x63; uint32_t x64; uint8_t x65; uint32_t x66; uint32_t x67; uint32_t x68; uint32_t x69; uint8_t x70; uint32_t x71; uint32_t x72; uint32_t x73; uint32_t x74; uint8_t x75; uint32_t x76; uint32_t x77; uint32_t x78; x1 = ((uint32_t)(arg1[31]) << 18); x2 = ((uint32_t)(arg1[30]) << 10); x3 = ((uint32_t)(arg1[29]) << 2); x4 = ((uint32_t)(arg1[28]) << 20); x5 = ((uint32_t)(arg1[27]) << 12); x6 = ((uint32_t)(arg1[26]) << 4); x7 = ((uint32_t)(arg1[25]) << 21); x8 = ((uint32_t)(arg1[24]) << 13); x9 = ((uint32_t)(arg1[23]) << 5); x10 = ((uint32_t)(arg1[22]) << 23); x11 = ((uint32_t)(arg1[21]) << 15); x12 = ((uint32_t)(arg1[20]) << 7); x13 = ((uint32_t)(arg1[19]) << 24); x14 = ((uint32_t)(arg1[18]) << 16); x15 = ((uint32_t)(arg1[17]) << 8); x16 = (arg1[16]); x17 = ((uint32_t)(arg1[15]) << 18); x18 = ((uint32_t)(arg1[14]) << 10); x19 = ((uint32_t)(arg1[13]) << 2); x20 = ((uint32_t)(arg1[12]) << 19); x21 = ((uint32_t)(arg1[11]) << 11); x22 = ((uint32_t)(arg1[10]) << 3); x23 = ((uint32_t)(arg1[9]) << 21); x24 = ((uint32_t)(arg1[8]) << 13); x25 = ((uint32_t)(arg1[7]) << 5); x26 = ((uint32_t)(arg1[6]) << 22); x27 = ((uint32_t)(arg1[5]) << 14); x28 = ((uint32_t)(arg1[4]) << 6); x29 = ((uint32_t)(arg1[3]) << 24); x30 = ((uint32_t)(arg1[2]) << 16); x31 = ((uint32_t)(arg1[1]) << 8); x32 = (arg1[0]); x33 = (x31 + (uint32_t)x32); x34 = (x30 + x33); x35 = (x29 + x34); x36 = (x35 & UINT32_C(0x3ffffff)); x37 = (uint8_t)(x35 >> 26); x38 = (x28 + (uint32_t)x37); x39 = (x27 + x38); x40 = (x26 + x39); x41 = (x40 & UINT32_C(0x1ffffff)); x42 = (uint8_t)(x40 >> 25); x43 = (x25 + (uint32_t)x42); x44 = (x24 + x43); x45 = (x23 + x44); x46 = (x45 & UINT32_C(0x3ffffff)); x47 = (uint8_t)(x45 >> 26); x48 = (x22 + (uint32_t)x47); x49 = (x21 + x48); x50 = (x20 + x49); x51 = (x50 & UINT32_C(0x1ffffff)); x52 = (uint8_t)(x50 >> 25); x53 = (x19 + (uint32_t)x52); x54 = (x18 + x53); x55 = (x17 + x54); x56 = (x15 + (uint32_t)x16); x57 = (x14 + x56); x58 = (x13 + x57); x59 = (x58 & UINT32_C(0x1ffffff)); x60 = (uint8_t)(x58 >> 25); x61 = (x12 + (uint32_t)x60); x62 = (x11 + x61); x63 = (x10 + x62); x64 = (x63 & UINT32_C(0x3ffffff)); x65 = (uint8_t)(x63 >> 26); x66 = (x9 + (uint32_t)x65); x67 = (x8 + x66); x68 = (x7 + x67); x69 = (x68 & UINT32_C(0x1ffffff)); x70 = (uint8_t)(x68 >> 25); x71 = (x6 + (uint32_t)x70); x72 = (x5 + x71); x73 = (x4 + x72); x74 = (x73 & UINT32_C(0x3ffffff)); x75 = (uint8_t)(x73 >> 26); x76 = (x3 + (uint32_t)x75); x77 = (x2 + x76); x78 = (x1 + x77); out1[0] = x36; out1[1] = x41; out1[2] = x46; out1[3] = x51; out1[4] = x55; out1[5] = x59; out1[6] = x64; out1[7] = x69; out1[8] = x74; out1[9] = x78; } /* * The function fiat_25519_relax is the identity function converting from tight field elements to loose field elements. * * Postconditions: * out1 = arg1 * */ static FIAT_25519_FIAT_INLINE void fiat_25519_relax(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 = (arg1[0]); x2 = (arg1[1]); x3 = (arg1[2]); x4 = (arg1[3]); x5 = (arg1[4]); x6 = (arg1[5]); x7 = (arg1[6]); x8 = (arg1[7]); x9 = (arg1[8]); x10 = (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_carry_scmul_121666 multiplies a field element by 121666 and reduces the result. * * Postconditions: * eval out1 mod m = (121666 * eval arg1) mod m * */ static FIAT_25519_FIAT_INLINE void fiat_25519_carry_scmul_121666(fiat_25519_tight_field_element out1, const fiat_25519_loose_field_element arg1) { 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; uint32_t x11; uint32_t x12; uint64_t x13; uint32_t x14; uint32_t x15; uint64_t x16; uint32_t x17; uint32_t x18; uint64_t x19; uint32_t x20; uint32_t x21; uint64_t x22; uint32_t x23; uint32_t x24; uint64_t x25; uint32_t x26; uint32_t x27; uint64_t x28; uint32_t x29; uint32_t x30; uint64_t x31; uint32_t x32; uint32_t x33; uint64_t x34; uint32_t x35; uint32_t x36; uint64_t x37; uint32_t x38; uint32_t x39; uint32_t x40; uint32_t x41; fiat_25519_uint1 x42; uint32_t x43; uint32_t x44; fiat_25519_uint1 x45; uint32_t x46; uint32_t x47; x1 = ((uint64_t)UINT32_C(0x1db42) * (arg1[9])); x2 = ((uint64_t)UINT32_C(0x1db42) * (arg1[8])); x3 = ((uint64_t)UINT32_C(0x1db42) * (arg1[7])); x4 = ((uint64_t)UINT32_C(0x1db42) * (arg1[6])); x5 = ((uint64_t)UINT32_C(0x1db42) * (arg1[5])); x6 = ((uint64_t)UINT32_C(0x1db42) * (arg1[4])); x7 = ((uint64_t)UINT32_C(0x1db42) * (arg1[3])); x8 = ((uint64_t)UINT32_C(0x1db42) * (arg1[2])); x9 = ((uint64_t)UINT32_C(0x1db42) * (arg1[1])); x10 = ((uint64_t)UINT32_C(0x1db42) * (arg1[0])); x11 = (uint32_t)(x10 >> 26); x12 = (uint32_t)(x10 & UINT32_C(0x3ffffff)); x13 = (x11 + x9); x14 = (uint32_t)(x13 >> 25); x15 = (uint32_t)(x13 & UINT32_C(0x1ffffff)); x16 = (x14 + x8); x17 = (uint32_t)(x16 >> 26); x18 = (uint32_t)(x16 & UINT32_C(0x3ffffff)); x19 = (x17 + x7); x20 = (uint32_t)(x19 >> 25); x21 = (uint32_t)(x19 & UINT32_C(0x1ffffff)); x22 = (x20 + x6); x23 = (uint32_t)(x22 >> 26); x24 = (uint32_t)(x22 & UINT32_C(0x3ffffff)); x25 = (x23 + x5); x26 = (uint32_t)(x25 >> 25); x27 = (uint32_t)(x25 & UINT32_C(0x1ffffff)); x28 = (x26 + x4); x29 = (uint32_t)(x28 >> 26); x30 = (uint32_t)(x28 & UINT32_C(0x3ffffff)); x31 = (x29 + x3); x32 = (uint32_t)(x31 >> 25); x33 = (uint32_t)(x31 & UINT32_C(0x1ffffff)); x34 = (x32 + x2); x35 = (uint32_t)(x34 >> 26); x36 = (uint32_t)(x34 & UINT32_C(0x3ffffff)); x37 = (x35 + x1); x38 = (uint32_t)(x37 >> 25); x39 = (uint32_t)(x37 & UINT32_C(0x1ffffff)); x40 = (x38 * UINT8_C(0x13)); x41 = (x12 + x40); x42 = (fiat_25519_uint1)(x41 >> 26); x43 = (x41 & UINT32_C(0x3ffffff)); x44 = (x42 + x15); x45 = (fiat_25519_uint1)(x44 >> 25); x46 = (x44 & UINT32_C(0x1ffffff)); x47 = (x45 + x18); out1[0] = x43; out1[1] = x46; out1[2] = x47; out1[3] = x21; out1[4] = x24; out1[5] = x27; out1[6] = x30; out1[7] = x33; out1[8] = x36; out1[9] = x39; }