| /* Autogenerated: src/ExtractionOCaml/unsaturated_solinas --static 25519 10 '2^255 - 19' 32 carry_mul carry_square carry add sub opp selectznz to_bytes from_bytes carry_scmul121666 */ |
| /* curve description: 25519 */ |
| /* requested operations: carry_mul, carry_square, carry, add, sub, opp, selectznz, to_bytes, from_bytes, carry_scmul121666 */ |
| /* n = 10 (from "10") */ |
| /* s-c = 2^255 - [(1, 19)] (from "2^255 - 19") */ |
| /* machine_wordsize = 32 (from "32") */ |
| |
| /* Computed values: */ |
| /* carry_chain = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1] */ |
| |
| #include <stdint.h> |
| typedef unsigned char fiat_25519_uint1; |
| typedef signed char fiat_25519_int1; |
| |
| #if (-1 & 3) != 3 |
| #error "This code only works on a two's complement system" |
| #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 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 = ((arg1 + arg2) + arg3); |
| uint32_t x2 = (x1 & UINT32_C(0x3ffffff)); |
| fiat_25519_uint1 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 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 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); |
| fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 26); |
| uint32_t 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 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 = ((arg1 + arg2) + arg3); |
| uint32_t x2 = (x1 & UINT32_C(0x1ffffff)); |
| fiat_25519_uint1 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 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 = ((int32_t)(arg2 - arg1) - (int32_t)arg3); |
| fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 25); |
| uint32_t 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 void fiat_25519_cmovznz_u32(uint32_t* out1, fiat_25519_uint1 arg1, uint32_t arg2, uint32_t arg3) { |
| fiat_25519_uint1 x1 = (!(!arg1)); |
| uint32_t x2 = ((fiat_25519_int1)(0x0 - x1) & UINT32_C(0xffffffff)); |
| // Note this line has been patched from the synthesized code to add value |
| // barriers. |
| // |
| // Clang recognizes this pattern as a select. While it usually transforms it |
| // to a cmov, it sometimes further transforms it into a branch, which we do |
| // not want. |
| uint32_t x3 = ((value_barrier_u32(x2) & arg3) | (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 |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] |
| * arg2: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| */ |
| static void fiat_25519_carry_mul(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) { |
| uint64_t x1 = ((uint64_t)(arg1[9]) * ((arg2[9]) * UINT8_C(0x26))); |
| uint64_t x2 = ((uint64_t)(arg1[9]) * ((arg2[8]) * UINT8_C(0x13))); |
| uint64_t x3 = ((uint64_t)(arg1[9]) * ((arg2[7]) * UINT8_C(0x26))); |
| uint64_t x4 = ((uint64_t)(arg1[9]) * ((arg2[6]) * UINT8_C(0x13))); |
| uint64_t x5 = ((uint64_t)(arg1[9]) * ((arg2[5]) * UINT8_C(0x26))); |
| uint64_t x6 = ((uint64_t)(arg1[9]) * ((arg2[4]) * UINT8_C(0x13))); |
| uint64_t x7 = ((uint64_t)(arg1[9]) * ((arg2[3]) * UINT8_C(0x26))); |
| uint64_t x8 = ((uint64_t)(arg1[9]) * ((arg2[2]) * UINT8_C(0x13))); |
| uint64_t x9 = ((uint64_t)(arg1[9]) * ((arg2[1]) * UINT8_C(0x26))); |
| uint64_t x10 = ((uint64_t)(arg1[8]) * ((arg2[9]) * UINT8_C(0x13))); |
| uint64_t x11 = ((uint64_t)(arg1[8]) * ((arg2[8]) * UINT8_C(0x13))); |
| uint64_t x12 = ((uint64_t)(arg1[8]) * ((arg2[7]) * UINT8_C(0x13))); |
| uint64_t x13 = ((uint64_t)(arg1[8]) * ((arg2[6]) * UINT8_C(0x13))); |
| uint64_t x14 = ((uint64_t)(arg1[8]) * ((arg2[5]) * UINT8_C(0x13))); |
| uint64_t x15 = ((uint64_t)(arg1[8]) * ((arg2[4]) * UINT8_C(0x13))); |
| uint64_t x16 = ((uint64_t)(arg1[8]) * ((arg2[3]) * UINT8_C(0x13))); |
| uint64_t x17 = ((uint64_t)(arg1[8]) * ((arg2[2]) * UINT8_C(0x13))); |
| uint64_t x18 = ((uint64_t)(arg1[7]) * ((arg2[9]) * UINT8_C(0x26))); |
| uint64_t x19 = ((uint64_t)(arg1[7]) * ((arg2[8]) * UINT8_C(0x13))); |
| uint64_t x20 = ((uint64_t)(arg1[7]) * ((arg2[7]) * UINT8_C(0x26))); |
| uint64_t x21 = ((uint64_t)(arg1[7]) * ((arg2[6]) * UINT8_C(0x13))); |
| uint64_t x22 = ((uint64_t)(arg1[7]) * ((arg2[5]) * UINT8_C(0x26))); |
| uint64_t x23 = ((uint64_t)(arg1[7]) * ((arg2[4]) * UINT8_C(0x13))); |
| uint64_t x24 = ((uint64_t)(arg1[7]) * ((arg2[3]) * UINT8_C(0x26))); |
| uint64_t x25 = ((uint64_t)(arg1[6]) * ((arg2[9]) * UINT8_C(0x13))); |
| uint64_t x26 = ((uint64_t)(arg1[6]) * ((arg2[8]) * UINT8_C(0x13))); |
| uint64_t x27 = ((uint64_t)(arg1[6]) * ((arg2[7]) * UINT8_C(0x13))); |
| uint64_t x28 = ((uint64_t)(arg1[6]) * ((arg2[6]) * UINT8_C(0x13))); |
| uint64_t x29 = ((uint64_t)(arg1[6]) * ((arg2[5]) * UINT8_C(0x13))); |
| uint64_t x30 = ((uint64_t)(arg1[6]) * ((arg2[4]) * UINT8_C(0x13))); |
| uint64_t x31 = ((uint64_t)(arg1[5]) * ((arg2[9]) * UINT8_C(0x26))); |
| uint64_t x32 = ((uint64_t)(arg1[5]) * ((arg2[8]) * UINT8_C(0x13))); |
| uint64_t x33 = ((uint64_t)(arg1[5]) * ((arg2[7]) * UINT8_C(0x26))); |
| uint64_t x34 = ((uint64_t)(arg1[5]) * ((arg2[6]) * UINT8_C(0x13))); |
| uint64_t x35 = ((uint64_t)(arg1[5]) * ((arg2[5]) * UINT8_C(0x26))); |
| uint64_t x36 = ((uint64_t)(arg1[4]) * ((arg2[9]) * UINT8_C(0x13))); |
| uint64_t x37 = ((uint64_t)(arg1[4]) * ((arg2[8]) * UINT8_C(0x13))); |
| uint64_t x38 = ((uint64_t)(arg1[4]) * ((arg2[7]) * UINT8_C(0x13))); |
| uint64_t x39 = ((uint64_t)(arg1[4]) * ((arg2[6]) * UINT8_C(0x13))); |
| uint64_t x40 = ((uint64_t)(arg1[3]) * ((arg2[9]) * UINT8_C(0x26))); |
| uint64_t x41 = ((uint64_t)(arg1[3]) * ((arg2[8]) * UINT8_C(0x13))); |
| uint64_t x42 = ((uint64_t)(arg1[3]) * ((arg2[7]) * UINT8_C(0x26))); |
| uint64_t x43 = ((uint64_t)(arg1[2]) * ((arg2[9]) * UINT8_C(0x13))); |
| uint64_t x44 = ((uint64_t)(arg1[2]) * ((arg2[8]) * UINT8_C(0x13))); |
| uint64_t x45 = ((uint64_t)(arg1[1]) * ((arg2[9]) * UINT8_C(0x26))); |
| uint64_t x46 = ((uint64_t)(arg1[9]) * (arg2[0])); |
| uint64_t x47 = ((uint64_t)(arg1[8]) * (arg2[1])); |
| uint64_t x48 = ((uint64_t)(arg1[8]) * (arg2[0])); |
| uint64_t x49 = ((uint64_t)(arg1[7]) * (arg2[2])); |
| uint64_t x50 = ((uint64_t)(arg1[7]) * ((arg2[1]) * 0x2)); |
| uint64_t x51 = ((uint64_t)(arg1[7]) * (arg2[0])); |
| uint64_t x52 = ((uint64_t)(arg1[6]) * (arg2[3])); |
| uint64_t x53 = ((uint64_t)(arg1[6]) * (arg2[2])); |
| uint64_t x54 = ((uint64_t)(arg1[6]) * (arg2[1])); |
| uint64_t x55 = ((uint64_t)(arg1[6]) * (arg2[0])); |
| uint64_t x56 = ((uint64_t)(arg1[5]) * (arg2[4])); |
| uint64_t x57 = ((uint64_t)(arg1[5]) * ((arg2[3]) * 0x2)); |
| uint64_t x58 = ((uint64_t)(arg1[5]) * (arg2[2])); |
| uint64_t x59 = ((uint64_t)(arg1[5]) * ((arg2[1]) * 0x2)); |
| uint64_t x60 = ((uint64_t)(arg1[5]) * (arg2[0])); |
| uint64_t x61 = ((uint64_t)(arg1[4]) * (arg2[5])); |
| uint64_t x62 = ((uint64_t)(arg1[4]) * (arg2[4])); |
| uint64_t x63 = ((uint64_t)(arg1[4]) * (arg2[3])); |
| uint64_t x64 = ((uint64_t)(arg1[4]) * (arg2[2])); |
| uint64_t x65 = ((uint64_t)(arg1[4]) * (arg2[1])); |
| uint64_t x66 = ((uint64_t)(arg1[4]) * (arg2[0])); |
| uint64_t x67 = ((uint64_t)(arg1[3]) * (arg2[6])); |
| uint64_t x68 = ((uint64_t)(arg1[3]) * ((arg2[5]) * 0x2)); |
| uint64_t x69 = ((uint64_t)(arg1[3]) * (arg2[4])); |
| uint64_t x70 = ((uint64_t)(arg1[3]) * ((arg2[3]) * 0x2)); |
| uint64_t x71 = ((uint64_t)(arg1[3]) * (arg2[2])); |
| uint64_t x72 = ((uint64_t)(arg1[3]) * ((arg2[1]) * 0x2)); |
| uint64_t x73 = ((uint64_t)(arg1[3]) * (arg2[0])); |
| uint64_t x74 = ((uint64_t)(arg1[2]) * (arg2[7])); |
| uint64_t x75 = ((uint64_t)(arg1[2]) * (arg2[6])); |
| uint64_t x76 = ((uint64_t)(arg1[2]) * (arg2[5])); |
| uint64_t x77 = ((uint64_t)(arg1[2]) * (arg2[4])); |
| uint64_t x78 = ((uint64_t)(arg1[2]) * (arg2[3])); |
| uint64_t x79 = ((uint64_t)(arg1[2]) * (arg2[2])); |
| uint64_t x80 = ((uint64_t)(arg1[2]) * (arg2[1])); |
| uint64_t x81 = ((uint64_t)(arg1[2]) * (arg2[0])); |
| uint64_t x82 = ((uint64_t)(arg1[1]) * (arg2[8])); |
| uint64_t x83 = ((uint64_t)(arg1[1]) * ((arg2[7]) * 0x2)); |
| uint64_t x84 = ((uint64_t)(arg1[1]) * (arg2[6])); |
| uint64_t x85 = ((uint64_t)(arg1[1]) * ((arg2[5]) * 0x2)); |
| uint64_t x86 = ((uint64_t)(arg1[1]) * (arg2[4])); |
| uint64_t x87 = ((uint64_t)(arg1[1]) * ((arg2[3]) * 0x2)); |
| uint64_t x88 = ((uint64_t)(arg1[1]) * (arg2[2])); |
| uint64_t x89 = ((uint64_t)(arg1[1]) * ((arg2[1]) * 0x2)); |
| uint64_t x90 = ((uint64_t)(arg1[1]) * (arg2[0])); |
| uint64_t x91 = ((uint64_t)(arg1[0]) * (arg2[9])); |
| uint64_t x92 = ((uint64_t)(arg1[0]) * (arg2[8])); |
| uint64_t x93 = ((uint64_t)(arg1[0]) * (arg2[7])); |
| uint64_t x94 = ((uint64_t)(arg1[0]) * (arg2[6])); |
| uint64_t x95 = ((uint64_t)(arg1[0]) * (arg2[5])); |
| uint64_t x96 = ((uint64_t)(arg1[0]) * (arg2[4])); |
| uint64_t x97 = ((uint64_t)(arg1[0]) * (arg2[3])); |
| uint64_t x98 = ((uint64_t)(arg1[0]) * (arg2[2])); |
| uint64_t x99 = ((uint64_t)(arg1[0]) * (arg2[1])); |
| uint64_t x100 = ((uint64_t)(arg1[0]) * (arg2[0])); |
| uint64_t x101 = (x100 + (x45 + (x44 + (x42 + (x39 + (x35 + (x30 + (x24 + (x17 + x9))))))))); |
| uint64_t x102 = (x101 >> 26); |
| uint32_t x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff)); |
| uint64_t x104 = (x91 + (x82 + (x74 + (x67 + (x61 + (x56 + (x52 + (x49 + (x47 + x46))))))))); |
| uint64_t x105 = (x92 + (x83 + (x75 + (x68 + (x62 + (x57 + (x53 + (x50 + (x48 + x1))))))))); |
| uint64_t x106 = (x93 + (x84 + (x76 + (x69 + (x63 + (x58 + (x54 + (x51 + (x10 + x2))))))))); |
| uint64_t x107 = (x94 + (x85 + (x77 + (x70 + (x64 + (x59 + (x55 + (x18 + (x11 + x3))))))))); |
| uint64_t x108 = (x95 + (x86 + (x78 + (x71 + (x65 + (x60 + (x25 + (x19 + (x12 + x4))))))))); |
| uint64_t x109 = (x96 + (x87 + (x79 + (x72 + (x66 + (x31 + (x26 + (x20 + (x13 + x5))))))))); |
| uint64_t x110 = (x97 + (x88 + (x80 + (x73 + (x36 + (x32 + (x27 + (x21 + (x14 + x6))))))))); |
| uint64_t x111 = (x98 + (x89 + (x81 + (x40 + (x37 + (x33 + (x28 + (x22 + (x15 + x7))))))))); |
| uint64_t x112 = (x99 + (x90 + (x43 + (x41 + (x38 + (x34 + (x29 + (x23 + (x16 + x8))))))))); |
| uint64_t x113 = (x102 + x112); |
| uint64_t x114 = (x113 >> 25); |
| uint32_t x115 = (uint32_t)(x113 & UINT32_C(0x1ffffff)); |
| uint64_t x116 = (x114 + x111); |
| uint64_t x117 = (x116 >> 26); |
| uint32_t x118 = (uint32_t)(x116 & UINT32_C(0x3ffffff)); |
| uint64_t x119 = (x117 + x110); |
| uint64_t x120 = (x119 >> 25); |
| uint32_t x121 = (uint32_t)(x119 & UINT32_C(0x1ffffff)); |
| uint64_t x122 = (x120 + x109); |
| uint64_t x123 = (x122 >> 26); |
| uint32_t x124 = (uint32_t)(x122 & UINT32_C(0x3ffffff)); |
| uint64_t x125 = (x123 + x108); |
| uint64_t x126 = (x125 >> 25); |
| uint32_t x127 = (uint32_t)(x125 & UINT32_C(0x1ffffff)); |
| uint64_t x128 = (x126 + x107); |
| uint64_t x129 = (x128 >> 26); |
| uint32_t x130 = (uint32_t)(x128 & UINT32_C(0x3ffffff)); |
| uint64_t x131 = (x129 + x106); |
| uint64_t x132 = (x131 >> 25); |
| uint32_t x133 = (uint32_t)(x131 & UINT32_C(0x1ffffff)); |
| uint64_t x134 = (x132 + x105); |
| uint64_t x135 = (x134 >> 26); |
| uint32_t x136 = (uint32_t)(x134 & UINT32_C(0x3ffffff)); |
| uint64_t x137 = (x135 + x104); |
| uint64_t x138 = (x137 >> 25); |
| uint32_t x139 = (uint32_t)(x137 & UINT32_C(0x1ffffff)); |
| uint64_t x140 = (x138 * UINT8_C(0x13)); |
| uint64_t x141 = (x103 + x140); |
| uint32_t x142 = (uint32_t)(x141 >> 26); |
| uint32_t x143 = (uint32_t)(x141 & UINT32_C(0x3ffffff)); |
| uint32_t x144 = (x142 + x115); |
| fiat_25519_uint1 x145 = (fiat_25519_uint1)(x144 >> 25); |
| uint32_t x146 = (x144 & UINT32_C(0x1ffffff)); |
| uint32_t 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 |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| */ |
| static void fiat_25519_carry_square(uint32_t out1[10], const uint32_t arg1[10]) { |
| uint32_t x1 = ((arg1[9]) * UINT8_C(0x13)); |
| uint32_t x2 = (x1 * 0x2); |
| uint32_t x3 = ((arg1[9]) * 0x2); |
| uint32_t x4 = ((arg1[8]) * UINT8_C(0x13)); |
| uint64_t x5 = ((uint64_t)x4 * 0x2); |
| uint32_t x6 = ((arg1[8]) * 0x2); |
| uint32_t x7 = ((arg1[7]) * UINT8_C(0x13)); |
| uint32_t x8 = (x7 * 0x2); |
| uint32_t x9 = ((arg1[7]) * 0x2); |
| uint32_t x10 = ((arg1[6]) * UINT8_C(0x13)); |
| uint64_t x11 = ((uint64_t)x10 * 0x2); |
| uint32_t x12 = ((arg1[6]) * 0x2); |
| uint32_t x13 = ((arg1[5]) * UINT8_C(0x13)); |
| uint32_t x14 = ((arg1[5]) * 0x2); |
| uint32_t x15 = ((arg1[4]) * 0x2); |
| uint32_t x16 = ((arg1[3]) * 0x2); |
| uint32_t x17 = ((arg1[2]) * 0x2); |
| uint32_t x18 = ((arg1[1]) * 0x2); |
| uint64_t x19 = ((uint64_t)(arg1[9]) * (x1 * 0x2)); |
| uint64_t x20 = ((uint64_t)(arg1[8]) * x2); |
| uint64_t x21 = ((uint64_t)(arg1[8]) * x4); |
| uint64_t x22 = ((arg1[7]) * ((uint64_t)x2 * 0x2)); |
| uint64_t x23 = ((arg1[7]) * x5); |
| uint64_t x24 = ((uint64_t)(arg1[7]) * (x7 * 0x2)); |
| uint64_t x25 = ((uint64_t)(arg1[6]) * x2); |
| uint64_t x26 = ((arg1[6]) * x5); |
| uint64_t x27 = ((uint64_t)(arg1[6]) * x8); |
| uint64_t x28 = ((uint64_t)(arg1[6]) * x10); |
| uint64_t x29 = ((arg1[5]) * ((uint64_t)x2 * 0x2)); |
| uint64_t x30 = ((arg1[5]) * x5); |
| uint64_t x31 = ((arg1[5]) * ((uint64_t)x8 * 0x2)); |
| uint64_t x32 = ((arg1[5]) * x11); |
| uint64_t x33 = ((uint64_t)(arg1[5]) * (x13 * 0x2)); |
| uint64_t x34 = ((uint64_t)(arg1[4]) * x2); |
| uint64_t x35 = ((arg1[4]) * x5); |
| uint64_t x36 = ((uint64_t)(arg1[4]) * x8); |
| uint64_t x37 = ((arg1[4]) * x11); |
| uint64_t x38 = ((uint64_t)(arg1[4]) * x14); |
| uint64_t x39 = ((uint64_t)(arg1[4]) * (arg1[4])); |
| uint64_t x40 = ((arg1[3]) * ((uint64_t)x2 * 0x2)); |
| uint64_t x41 = ((arg1[3]) * x5); |
| uint64_t x42 = ((arg1[3]) * ((uint64_t)x8 * 0x2)); |
| uint64_t x43 = ((uint64_t)(arg1[3]) * x12); |
| uint64_t x44 = ((uint64_t)(arg1[3]) * (x14 * 0x2)); |
| uint64_t x45 = ((uint64_t)(arg1[3]) * x15); |
| uint64_t x46 = ((uint64_t)(arg1[3]) * ((arg1[3]) * 0x2)); |
| uint64_t x47 = ((uint64_t)(arg1[2]) * x2); |
| uint64_t x48 = ((arg1[2]) * x5); |
| uint64_t x49 = ((uint64_t)(arg1[2]) * x9); |
| uint64_t x50 = ((uint64_t)(arg1[2]) * x12); |
| uint64_t x51 = ((uint64_t)(arg1[2]) * x14); |
| uint64_t x52 = ((uint64_t)(arg1[2]) * x15); |
| uint64_t x53 = ((uint64_t)(arg1[2]) * x16); |
| uint64_t x54 = ((uint64_t)(arg1[2]) * (arg1[2])); |
| uint64_t x55 = ((arg1[1]) * ((uint64_t)x2 * 0x2)); |
| uint64_t x56 = ((uint64_t)(arg1[1]) * x6); |
| uint64_t x57 = ((uint64_t)(arg1[1]) * (x9 * 0x2)); |
| uint64_t x58 = ((uint64_t)(arg1[1]) * x12); |
| uint64_t x59 = ((uint64_t)(arg1[1]) * (x14 * 0x2)); |
| uint64_t x60 = ((uint64_t)(arg1[1]) * x15); |
| uint64_t x61 = ((uint64_t)(arg1[1]) * (x16 * 0x2)); |
| uint64_t x62 = ((uint64_t)(arg1[1]) * x17); |
| uint64_t x63 = ((uint64_t)(arg1[1]) * ((arg1[1]) * 0x2)); |
| uint64_t x64 = ((uint64_t)(arg1[0]) * x3); |
| uint64_t x65 = ((uint64_t)(arg1[0]) * x6); |
| uint64_t x66 = ((uint64_t)(arg1[0]) * x9); |
| uint64_t x67 = ((uint64_t)(arg1[0]) * x12); |
| uint64_t x68 = ((uint64_t)(arg1[0]) * x14); |
| uint64_t x69 = ((uint64_t)(arg1[0]) * x15); |
| uint64_t x70 = ((uint64_t)(arg1[0]) * x16); |
| uint64_t x71 = ((uint64_t)(arg1[0]) * x17); |
| uint64_t x72 = ((uint64_t)(arg1[0]) * x18); |
| uint64_t x73 = ((uint64_t)(arg1[0]) * (arg1[0])); |
| uint64_t x74 = (x73 + (x55 + (x48 + (x42 + (x37 + x33))))); |
| uint64_t x75 = (x74 >> 26); |
| uint32_t x76 = (uint32_t)(x74 & UINT32_C(0x3ffffff)); |
| uint64_t x77 = (x64 + (x56 + (x49 + (x43 + x38)))); |
| uint64_t x78 = (x65 + (x57 + (x50 + (x44 + (x39 + x19))))); |
| uint64_t x79 = (x66 + (x58 + (x51 + (x45 + x20)))); |
| uint64_t x80 = (x67 + (x59 + (x52 + (x46 + (x22 + x21))))); |
| uint64_t x81 = (x68 + (x60 + (x53 + (x25 + x23)))); |
| uint64_t x82 = (x69 + (x61 + (x54 + (x29 + (x26 + x24))))); |
| uint64_t x83 = (x70 + (x62 + (x34 + (x30 + x27)))); |
| uint64_t x84 = (x71 + (x63 + (x40 + (x35 + (x31 + x28))))); |
| uint64_t x85 = (x72 + (x47 + (x41 + (x36 + x32)))); |
| uint64_t x86 = (x75 + x85); |
| uint64_t x87 = (x86 >> 25); |
| uint32_t x88 = (uint32_t)(x86 & UINT32_C(0x1ffffff)); |
| uint64_t x89 = (x87 + x84); |
| uint64_t x90 = (x89 >> 26); |
| uint32_t x91 = (uint32_t)(x89 & UINT32_C(0x3ffffff)); |
| uint64_t x92 = (x90 + x83); |
| uint64_t x93 = (x92 >> 25); |
| uint32_t x94 = (uint32_t)(x92 & UINT32_C(0x1ffffff)); |
| uint64_t x95 = (x93 + x82); |
| uint64_t x96 = (x95 >> 26); |
| uint32_t x97 = (uint32_t)(x95 & UINT32_C(0x3ffffff)); |
| uint64_t x98 = (x96 + x81); |
| uint64_t x99 = (x98 >> 25); |
| uint32_t x100 = (uint32_t)(x98 & UINT32_C(0x1ffffff)); |
| uint64_t x101 = (x99 + x80); |
| uint64_t x102 = (x101 >> 26); |
| uint32_t x103 = (uint32_t)(x101 & UINT32_C(0x3ffffff)); |
| uint64_t x104 = (x102 + x79); |
| uint64_t x105 = (x104 >> 25); |
| uint32_t x106 = (uint32_t)(x104 & UINT32_C(0x1ffffff)); |
| uint64_t x107 = (x105 + x78); |
| uint64_t x108 = (x107 >> 26); |
| uint32_t x109 = (uint32_t)(x107 & UINT32_C(0x3ffffff)); |
| uint64_t x110 = (x108 + x77); |
| uint64_t x111 = (x110 >> 25); |
| uint32_t x112 = (uint32_t)(x110 & UINT32_C(0x1ffffff)); |
| uint64_t x113 = (x111 * UINT8_C(0x13)); |
| uint64_t x114 = (x76 + x113); |
| uint32_t x115 = (uint32_t)(x114 >> 26); |
| uint32_t x116 = (uint32_t)(x114 & UINT32_C(0x3ffffff)); |
| uint32_t x117 = (x115 + x88); |
| fiat_25519_uint1 x118 = (fiat_25519_uint1)(x117 >> 25); |
| uint32_t x119 = (x117 & UINT32_C(0x1ffffff)); |
| uint32_t 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 |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| */ |
| static void fiat_25519_carry(uint32_t out1[10], const uint32_t arg1[10]) { |
| uint32_t x1 = (arg1[0]); |
| uint32_t x2 = ((x1 >> 26) + (arg1[1])); |
| uint32_t x3 = ((x2 >> 25) + (arg1[2])); |
| uint32_t x4 = ((x3 >> 26) + (arg1[3])); |
| uint32_t x5 = ((x4 >> 25) + (arg1[4])); |
| uint32_t x6 = ((x5 >> 26) + (arg1[5])); |
| uint32_t x7 = ((x6 >> 25) + (arg1[6])); |
| uint32_t x8 = ((x7 >> 26) + (arg1[7])); |
| uint32_t x9 = ((x8 >> 25) + (arg1[8])); |
| uint32_t x10 = ((x9 >> 26) + (arg1[9])); |
| uint32_t x11 = ((x1 & UINT32_C(0x3ffffff)) + ((x10 >> 25) * UINT8_C(0x13))); |
| uint32_t x12 = ((fiat_25519_uint1)(x11 >> 26) + (x2 & UINT32_C(0x1ffffff))); |
| uint32_t x13 = (x11 & UINT32_C(0x3ffffff)); |
| uint32_t x14 = (x12 & UINT32_C(0x1ffffff)); |
| uint32_t x15 = ((fiat_25519_uint1)(x12 >> 25) + (x3 & UINT32_C(0x3ffffff))); |
| uint32_t x16 = (x4 & UINT32_C(0x1ffffff)); |
| uint32_t x17 = (x5 & UINT32_C(0x3ffffff)); |
| uint32_t x18 = (x6 & UINT32_C(0x1ffffff)); |
| uint32_t x19 = (x7 & UINT32_C(0x3ffffff)); |
| uint32_t x20 = (x8 & UINT32_C(0x1ffffff)); |
| uint32_t x21 = (x9 & UINT32_C(0x3ffffff)); |
| uint32_t 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 |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| * arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] |
| */ |
| static void fiat_25519_add(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) { |
| uint32_t x1 = ((arg1[0]) + (arg2[0])); |
| uint32_t x2 = ((arg1[1]) + (arg2[1])); |
| uint32_t x3 = ((arg1[2]) + (arg2[2])); |
| uint32_t x4 = ((arg1[3]) + (arg2[3])); |
| uint32_t x5 = ((arg1[4]) + (arg2[4])); |
| uint32_t x6 = ((arg1[5]) + (arg2[5])); |
| uint32_t x7 = ((arg1[6]) + (arg2[6])); |
| uint32_t x8 = ((arg1[7]) + (arg2[7])); |
| uint32_t x9 = ((arg1[8]) + (arg2[8])); |
| uint32_t 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 |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| * arg2: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] |
| */ |
| static void fiat_25519_sub(uint32_t out1[10], const uint32_t arg1[10], const uint32_t arg2[10]) { |
| uint32_t x1 = ((UINT32_C(0x7ffffda) + (arg1[0])) - (arg2[0])); |
| uint32_t x2 = ((UINT32_C(0x3fffffe) + (arg1[1])) - (arg2[1])); |
| uint32_t x3 = ((UINT32_C(0x7fffffe) + (arg1[2])) - (arg2[2])); |
| uint32_t x4 = ((UINT32_C(0x3fffffe) + (arg1[3])) - (arg2[3])); |
| uint32_t x5 = ((UINT32_C(0x7fffffe) + (arg1[4])) - (arg2[4])); |
| uint32_t x6 = ((UINT32_C(0x3fffffe) + (arg1[5])) - (arg2[5])); |
| uint32_t x7 = ((UINT32_C(0x7fffffe) + (arg1[6])) - (arg2[6])); |
| uint32_t x8 = ((UINT32_C(0x3fffffe) + (arg1[7])) - (arg2[7])); |
| uint32_t x9 = ((UINT32_C(0x7fffffe) + (arg1[8])) - (arg2[8])); |
| uint32_t 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 |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] |
| */ |
| static void fiat_25519_opp(uint32_t out1[10], const uint32_t arg1[10]) { |
| uint32_t x1 = (UINT32_C(0x7ffffda) - (arg1[0])); |
| uint32_t x2 = (UINT32_C(0x3fffffe) - (arg1[1])); |
| uint32_t x3 = (UINT32_C(0x7fffffe) - (arg1[2])); |
| uint32_t x4 = (UINT32_C(0x3fffffe) - (arg1[3])); |
| uint32_t x5 = (UINT32_C(0x7fffffe) - (arg1[4])); |
| uint32_t x6 = (UINT32_C(0x3fffffe) - (arg1[5])); |
| uint32_t x7 = (UINT32_C(0x7fffffe) - (arg1[6])); |
| uint32_t x8 = (UINT32_C(0x3fffffe) - (arg1[7])); |
| uint32_t x9 = (UINT32_C(0x7fffffe) - (arg1[8])); |
| uint32_t 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; |
| fiat_25519_cmovznz_u32(&x1, arg1, (arg2[0]), (arg3[0])); |
| uint32_t x2; |
| fiat_25519_cmovznz_u32(&x2, arg1, (arg2[1]), (arg3[1])); |
| uint32_t x3; |
| fiat_25519_cmovznz_u32(&x3, arg1, (arg2[2]), (arg3[2])); |
| uint32_t x4; |
| fiat_25519_cmovznz_u32(&x4, arg1, (arg2[3]), (arg3[3])); |
| uint32_t x5; |
| fiat_25519_cmovznz_u32(&x5, arg1, (arg2[4]), (arg3[4])); |
| uint32_t x6; |
| fiat_25519_cmovznz_u32(&x6, arg1, (arg2[5]), (arg3[5])); |
| uint32_t x7; |
| fiat_25519_cmovznz_u32(&x7, arg1, (arg2[6]), (arg3[6])); |
| uint32_t x8; |
| fiat_25519_cmovznz_u32(&x8, arg1, (arg2[7]), (arg3[7])); |
| uint32_t x9; |
| fiat_25519_cmovznz_u32(&x9, arg1, (arg2[8]), (arg3[8])); |
| uint32_t x10; |
| 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] |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| * 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 uint32_t arg1[10]) { |
| uint32_t x1; |
| fiat_25519_uint1 x2; |
| fiat_25519_subborrowx_u26(&x1, &x2, 0x0, (arg1[0]), UINT32_C(0x3ffffed)); |
| uint32_t x3; |
| fiat_25519_uint1 x4; |
| fiat_25519_subborrowx_u25(&x3, &x4, x2, (arg1[1]), UINT32_C(0x1ffffff)); |
| uint32_t x5; |
| fiat_25519_uint1 x6; |
| fiat_25519_subborrowx_u26(&x5, &x6, x4, (arg1[2]), UINT32_C(0x3ffffff)); |
| uint32_t x7; |
| fiat_25519_uint1 x8; |
| fiat_25519_subborrowx_u25(&x7, &x8, x6, (arg1[3]), UINT32_C(0x1ffffff)); |
| uint32_t x9; |
| fiat_25519_uint1 x10; |
| fiat_25519_subborrowx_u26(&x9, &x10, x8, (arg1[4]), UINT32_C(0x3ffffff)); |
| uint32_t x11; |
| fiat_25519_uint1 x12; |
| fiat_25519_subborrowx_u25(&x11, &x12, x10, (arg1[5]), UINT32_C(0x1ffffff)); |
| uint32_t x13; |
| fiat_25519_uint1 x14; |
| fiat_25519_subborrowx_u26(&x13, &x14, x12, (arg1[6]), UINT32_C(0x3ffffff)); |
| uint32_t x15; |
| fiat_25519_uint1 x16; |
| fiat_25519_subborrowx_u25(&x15, &x16, x14, (arg1[7]), UINT32_C(0x1ffffff)); |
| uint32_t x17; |
| fiat_25519_uint1 x18; |
| fiat_25519_subborrowx_u26(&x17, &x18, x16, (arg1[8]), UINT32_C(0x3ffffff)); |
| uint32_t x19; |
| fiat_25519_uint1 x20; |
| fiat_25519_subborrowx_u25(&x19, &x20, x18, (arg1[9]), UINT32_C(0x1ffffff)); |
| uint32_t x21; |
| fiat_25519_cmovznz_u32(&x21, x20, 0x0, UINT32_C(0xffffffff)); |
| uint32_t x22; |
| fiat_25519_uint1 x23; |
| fiat_25519_addcarryx_u26(&x22, &x23, 0x0, x1, (x21 & UINT32_C(0x3ffffed))); |
| uint32_t x24; |
| fiat_25519_uint1 x25; |
| fiat_25519_addcarryx_u25(&x24, &x25, x23, x3, (x21 & UINT32_C(0x1ffffff))); |
| uint32_t x26; |
| fiat_25519_uint1 x27; |
| fiat_25519_addcarryx_u26(&x26, &x27, x25, x5, (x21 & UINT32_C(0x3ffffff))); |
| uint32_t x28; |
| fiat_25519_uint1 x29; |
| fiat_25519_addcarryx_u25(&x28, &x29, x27, x7, (x21 & UINT32_C(0x1ffffff))); |
| uint32_t x30; |
| fiat_25519_uint1 x31; |
| fiat_25519_addcarryx_u26(&x30, &x31, x29, x9, (x21 & UINT32_C(0x3ffffff))); |
| uint32_t x32; |
| fiat_25519_uint1 x33; |
| fiat_25519_addcarryx_u25(&x32, &x33, x31, x11, (x21 & UINT32_C(0x1ffffff))); |
| uint32_t x34; |
| fiat_25519_uint1 x35; |
| fiat_25519_addcarryx_u26(&x34, &x35, x33, x13, (x21 & UINT32_C(0x3ffffff))); |
| uint32_t x36; |
| fiat_25519_uint1 x37; |
| fiat_25519_addcarryx_u25(&x36, &x37, x35, x15, (x21 & UINT32_C(0x1ffffff))); |
| uint32_t x38; |
| fiat_25519_uint1 x39; |
| fiat_25519_addcarryx_u26(&x38, &x39, x37, x17, (x21 & UINT32_C(0x3ffffff))); |
| uint32_t x40; |
| fiat_25519_uint1 x41; |
| fiat_25519_addcarryx_u25(&x40, &x41, x39, x19, (x21 & UINT32_C(0x1ffffff))); |
| uint32_t x42 = (x40 << 6); |
| uint32_t x43 = (x38 << 4); |
| uint32_t x44 = (x36 << 3); |
| uint32_t x45 = (x34 * (uint32_t)0x2); |
| uint32_t x46 = (x30 << 6); |
| uint32_t x47 = (x28 << 5); |
| uint32_t x48 = (x26 << 3); |
| uint32_t x49 = (x24 << 2); |
| uint32_t x50 = (x22 >> 8); |
| uint8_t x51 = (uint8_t)(x22 & UINT8_C(0xff)); |
| uint32_t x52 = (x50 >> 8); |
| uint8_t x53 = (uint8_t)(x50 & UINT8_C(0xff)); |
| uint8_t x54 = (uint8_t)(x52 >> 8); |
| uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff)); |
| uint32_t x56 = (x54 + x49); |
| uint32_t x57 = (x56 >> 8); |
| uint8_t x58 = (uint8_t)(x56 & UINT8_C(0xff)); |
| uint32_t x59 = (x57 >> 8); |
| uint8_t x60 = (uint8_t)(x57 & UINT8_C(0xff)); |
| uint8_t x61 = (uint8_t)(x59 >> 8); |
| uint8_t x62 = (uint8_t)(x59 & UINT8_C(0xff)); |
| uint32_t x63 = (x61 + x48); |
| uint32_t x64 = (x63 >> 8); |
| uint8_t x65 = (uint8_t)(x63 & UINT8_C(0xff)); |
| uint32_t x66 = (x64 >> 8); |
| uint8_t x67 = (uint8_t)(x64 & UINT8_C(0xff)); |
| uint8_t x68 = (uint8_t)(x66 >> 8); |
| uint8_t x69 = (uint8_t)(x66 & UINT8_C(0xff)); |
| uint32_t x70 = (x68 + x47); |
| uint32_t x71 = (x70 >> 8); |
| uint8_t x72 = (uint8_t)(x70 & UINT8_C(0xff)); |
| uint32_t x73 = (x71 >> 8); |
| uint8_t x74 = (uint8_t)(x71 & UINT8_C(0xff)); |
| uint8_t x75 = (uint8_t)(x73 >> 8); |
| uint8_t x76 = (uint8_t)(x73 & UINT8_C(0xff)); |
| uint32_t x77 = (x75 + x46); |
| uint32_t x78 = (x77 >> 8); |
| uint8_t x79 = (uint8_t)(x77 & UINT8_C(0xff)); |
| uint32_t x80 = (x78 >> 8); |
| uint8_t x81 = (uint8_t)(x78 & UINT8_C(0xff)); |
| uint8_t x82 = (uint8_t)(x80 >> 8); |
| uint8_t x83 = (uint8_t)(x80 & UINT8_C(0xff)); |
| uint8_t x84 = (uint8_t)(x82 & UINT8_C(0xff)); |
| uint32_t x85 = (x32 >> 8); |
| uint8_t x86 = (uint8_t)(x32 & UINT8_C(0xff)); |
| uint32_t x87 = (x85 >> 8); |
| uint8_t x88 = (uint8_t)(x85 & UINT8_C(0xff)); |
| fiat_25519_uint1 x89 = (fiat_25519_uint1)(x87 >> 8); |
| uint8_t x90 = (uint8_t)(x87 & UINT8_C(0xff)); |
| uint32_t x91 = (x89 + x45); |
| uint32_t x92 = (x91 >> 8); |
| uint8_t x93 = (uint8_t)(x91 & UINT8_C(0xff)); |
| uint32_t x94 = (x92 >> 8); |
| uint8_t x95 = (uint8_t)(x92 & UINT8_C(0xff)); |
| uint8_t x96 = (uint8_t)(x94 >> 8); |
| uint8_t x97 = (uint8_t)(x94 & UINT8_C(0xff)); |
| uint32_t x98 = (x96 + x44); |
| uint32_t x99 = (x98 >> 8); |
| uint8_t x100 = (uint8_t)(x98 & UINT8_C(0xff)); |
| uint32_t x101 = (x99 >> 8); |
| uint8_t x102 = (uint8_t)(x99 & UINT8_C(0xff)); |
| uint8_t x103 = (uint8_t)(x101 >> 8); |
| uint8_t x104 = (uint8_t)(x101 & UINT8_C(0xff)); |
| uint32_t x105 = (x103 + x43); |
| uint32_t x106 = (x105 >> 8); |
| uint8_t x107 = (uint8_t)(x105 & UINT8_C(0xff)); |
| uint32_t x108 = (x106 >> 8); |
| uint8_t x109 = (uint8_t)(x106 & UINT8_C(0xff)); |
| uint8_t x110 = (uint8_t)(x108 >> 8); |
| uint8_t x111 = (uint8_t)(x108 & UINT8_C(0xff)); |
| uint32_t x112 = (x110 + x42); |
| uint32_t x113 = (x112 >> 8); |
| uint8_t x114 = (uint8_t)(x112 & UINT8_C(0xff)); |
| uint32_t x115 = (x113 >> 8); |
| uint8_t x116 = (uint8_t)(x113 & UINT8_C(0xff)); |
| uint8_t x117 = (uint8_t)(x115 >> 8); |
| uint8_t x118 = (uint8_t)(x115 & UINT8_C(0xff)); |
| out1[0] = x51; |
| out1[1] = x53; |
| out1[2] = x55; |
| out1[3] = x58; |
| out1[4] = x60; |
| out1[5] = x62; |
| out1[6] = x65; |
| out1[7] = x67; |
| out1[8] = x69; |
| out1[9] = x72; |
| out1[10] = x74; |
| out1[11] = x76; |
| out1[12] = x79; |
| out1[13] = x81; |
| out1[14] = x83; |
| out1[15] = x84; |
| out1[16] = x86; |
| out1[17] = x88; |
| out1[18] = x90; |
| out1[19] = x93; |
| out1[20] = x95; |
| out1[21] = x97; |
| out1[22] = x100; |
| out1[23] = x102; |
| out1[24] = x104; |
| out1[25] = x107; |
| out1[26] = x109; |
| out1[27] = x111; |
| out1[28] = x114; |
| out1[29] = x116; |
| out1[30] = x118; |
| 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]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| */ |
| static void fiat_25519_from_bytes(uint32_t out1[10], const uint8_t arg1[32]) { |
| uint32_t x1 = ((uint32_t)(arg1[31]) << 18); |
| uint32_t x2 = ((uint32_t)(arg1[30]) << 10); |
| uint32_t x3 = ((uint32_t)(arg1[29]) << 2); |
| uint32_t x4 = ((uint32_t)(arg1[28]) << 20); |
| uint32_t x5 = ((uint32_t)(arg1[27]) << 12); |
| uint32_t x6 = ((uint32_t)(arg1[26]) << 4); |
| uint32_t x7 = ((uint32_t)(arg1[25]) << 21); |
| uint32_t x8 = ((uint32_t)(arg1[24]) << 13); |
| uint32_t x9 = ((uint32_t)(arg1[23]) << 5); |
| uint32_t x10 = ((uint32_t)(arg1[22]) << 23); |
| uint32_t x11 = ((uint32_t)(arg1[21]) << 15); |
| uint32_t x12 = ((uint32_t)(arg1[20]) << 7); |
| uint32_t x13 = ((uint32_t)(arg1[19]) << 24); |
| uint32_t x14 = ((uint32_t)(arg1[18]) << 16); |
| uint32_t x15 = ((uint32_t)(arg1[17]) << 8); |
| uint8_t x16 = (arg1[16]); |
| uint32_t x17 = ((uint32_t)(arg1[15]) << 18); |
| uint32_t x18 = ((uint32_t)(arg1[14]) << 10); |
| uint32_t x19 = ((uint32_t)(arg1[13]) << 2); |
| uint32_t x20 = ((uint32_t)(arg1[12]) << 19); |
| uint32_t x21 = ((uint32_t)(arg1[11]) << 11); |
| uint32_t x22 = ((uint32_t)(arg1[10]) << 3); |
| uint32_t x23 = ((uint32_t)(arg1[9]) << 21); |
| uint32_t x24 = ((uint32_t)(arg1[8]) << 13); |
| uint32_t x25 = ((uint32_t)(arg1[7]) << 5); |
| uint32_t x26 = ((uint32_t)(arg1[6]) << 22); |
| uint32_t x27 = ((uint32_t)(arg1[5]) << 14); |
| uint32_t x28 = ((uint32_t)(arg1[4]) << 6); |
| uint32_t x29 = ((uint32_t)(arg1[3]) << 24); |
| uint32_t x30 = ((uint32_t)(arg1[2]) << 16); |
| uint32_t x31 = ((uint32_t)(arg1[1]) << 8); |
| uint8_t x32 = (arg1[0]); |
| uint32_t x33 = (x32 + (x31 + (x30 + x29))); |
| uint8_t x34 = (uint8_t)(x33 >> 26); |
| uint32_t x35 = (x33 & UINT32_C(0x3ffffff)); |
| uint32_t x36 = (x3 + (x2 + x1)); |
| uint32_t x37 = (x6 + (x5 + x4)); |
| uint32_t x38 = (x9 + (x8 + x7)); |
| uint32_t x39 = (x12 + (x11 + x10)); |
| uint32_t x40 = (x16 + (x15 + (x14 + x13))); |
| uint32_t x41 = (x19 + (x18 + x17)); |
| uint32_t x42 = (x22 + (x21 + x20)); |
| uint32_t x43 = (x25 + (x24 + x23)); |
| uint32_t x44 = (x28 + (x27 + x26)); |
| uint32_t x45 = (x34 + x44); |
| uint8_t x46 = (uint8_t)(x45 >> 25); |
| uint32_t x47 = (x45 & UINT32_C(0x1ffffff)); |
| uint32_t x48 = (x46 + x43); |
| uint8_t x49 = (uint8_t)(x48 >> 26); |
| uint32_t x50 = (x48 & UINT32_C(0x3ffffff)); |
| uint32_t x51 = (x49 + x42); |
| uint8_t x52 = (uint8_t)(x51 >> 25); |
| uint32_t x53 = (x51 & UINT32_C(0x1ffffff)); |
| uint32_t x54 = (x52 + x41); |
| uint32_t x55 = (x54 & UINT32_C(0x3ffffff)); |
| uint8_t x56 = (uint8_t)(x40 >> 25); |
| uint32_t x57 = (x40 & UINT32_C(0x1ffffff)); |
| uint32_t x58 = (x56 + x39); |
| uint8_t x59 = (uint8_t)(x58 >> 26); |
| uint32_t x60 = (x58 & UINT32_C(0x3ffffff)); |
| uint32_t x61 = (x59 + x38); |
| uint8_t x62 = (uint8_t)(x61 >> 25); |
| uint32_t x63 = (x61 & UINT32_C(0x1ffffff)); |
| uint32_t x64 = (x62 + x37); |
| uint8_t x65 = (uint8_t)(x64 >> 26); |
| uint32_t x66 = (x64 & UINT32_C(0x3ffffff)); |
| uint32_t x67 = (x65 + x36); |
| out1[0] = x35; |
| out1[1] = x47; |
| out1[2] = x50; |
| out1[3] = x53; |
| out1[4] = x55; |
| out1[5] = x57; |
| out1[6] = x60; |
| out1[7] = x63; |
| out1[8] = x66; |
| out1[9] = x67; |
| } |
| |
| /* |
| * 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 |
| * |
| * Input Bounds: |
| * arg1: [[0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999], [0x0 ~> 0xd333332], [0x0 ~> 0x6999999]] |
| * Output Bounds: |
| * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] |
| */ |
| static void fiat_25519_carry_scmul_121666(uint32_t out1[10], const uint32_t arg1[10]) { |
| uint64_t x1 = ((uint64_t)UINT32_C(0x1db42) * (arg1[9])); |
| uint64_t x2 = ((uint64_t)UINT32_C(0x1db42) * (arg1[8])); |
| uint64_t x3 = ((uint64_t)UINT32_C(0x1db42) * (arg1[7])); |
| uint64_t x4 = ((uint64_t)UINT32_C(0x1db42) * (arg1[6])); |
| uint64_t x5 = ((uint64_t)UINT32_C(0x1db42) * (arg1[5])); |
| uint64_t x6 = ((uint64_t)UINT32_C(0x1db42) * (arg1[4])); |
| uint64_t x7 = ((uint64_t)UINT32_C(0x1db42) * (arg1[3])); |
| uint64_t x8 = ((uint64_t)UINT32_C(0x1db42) * (arg1[2])); |
| uint64_t x9 = ((uint64_t)UINT32_C(0x1db42) * (arg1[1])); |
| uint64_t x10 = ((uint64_t)UINT32_C(0x1db42) * (arg1[0])); |
| uint32_t x11 = (uint32_t)(x10 >> 26); |
| uint32_t x12 = (uint32_t)(x10 & UINT32_C(0x3ffffff)); |
| uint64_t x13 = (x11 + x9); |
| uint32_t x14 = (uint32_t)(x13 >> 25); |
| uint32_t x15 = (uint32_t)(x13 & UINT32_C(0x1ffffff)); |
| uint64_t x16 = (x14 + x8); |
| uint32_t x17 = (uint32_t)(x16 >> 26); |
| uint32_t x18 = (uint32_t)(x16 & UINT32_C(0x3ffffff)); |
| uint64_t x19 = (x17 + x7); |
| uint32_t x20 = (uint32_t)(x19 >> 25); |
| uint32_t x21 = (uint32_t)(x19 & UINT32_C(0x1ffffff)); |
| uint64_t x22 = (x20 + x6); |
| uint32_t x23 = (uint32_t)(x22 >> 26); |
| uint32_t x24 = (uint32_t)(x22 & UINT32_C(0x3ffffff)); |
| uint64_t x25 = (x23 + x5); |
| uint32_t x26 = (uint32_t)(x25 >> 25); |
| uint32_t x27 = (uint32_t)(x25 & UINT32_C(0x1ffffff)); |
| uint64_t x28 = (x26 + x4); |
| uint32_t x29 = (uint32_t)(x28 >> 26); |
| uint32_t x30 = (uint32_t)(x28 & UINT32_C(0x3ffffff)); |
| uint64_t x31 = (x29 + x3); |
| uint32_t x32 = (uint32_t)(x31 >> 25); |
| uint32_t x33 = (uint32_t)(x31 & UINT32_C(0x1ffffff)); |
| uint64_t x34 = (x32 + x2); |
| uint32_t x35 = (uint32_t)(x34 >> 26); |
| uint32_t x36 = (uint32_t)(x34 & UINT32_C(0x3ffffff)); |
| uint64_t x37 = (x35 + x1); |
| uint32_t x38 = (uint32_t)(x37 >> 25); |
| uint32_t x39 = (uint32_t)(x37 & UINT32_C(0x1ffffff)); |
| uint32_t x40 = (x38 * UINT8_C(0x13)); |
| uint32_t x41 = (x12 + x40); |
| fiat_25519_uint1 x42 = (fiat_25519_uint1)(x41 >> 26); |
| uint32_t x43 = (x41 & UINT32_C(0x3ffffff)); |
| uint32_t x44 = (x42 + x15); |
| fiat_25519_uint1 x45 = (fiat_25519_uint1)(x44 >> 25); |
| uint32_t x46 = (x44 & UINT32_C(0x1ffffff)); |
| uint32_t 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; |
| } |
| |
