From 1454f60765ea516c38e19c5cec61837a8c287d10 Mon Sep 17 00:00:00 2001 From: Jason Gross Date: Fri, 29 Jun 2018 20:46:35 -0400 Subject: update c --- curve25519_32.c | 985 +++++++++++++++++++++++++++++++++++++++++++++++++------- curve25519_64.c | 547 ++++++++++++++++++++++++++++--- 2 files changed, 1373 insertions(+), 159 deletions(-) diff --git a/curve25519_32.c b/curve25519_32.c index 70ab9c0af..56c29e6d3 100644 --- a/curve25519_32.c +++ b/curve25519_32.c @@ -1,4 +1,3 @@ -check_args /* Autogenerated */ /* curve description: 25519 */ /* requested operations: carry_mul, carry_square, carry_scmul121666, carry, add, sub, opp, selectznz, to_bytes, from_bytes */ @@ -12,18 +11,263 @@ typedef unsigned char fiat_25519_uint1; typedef signed char fiat_25519_int1; +/* + * 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; +} + +/* + * 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); +} + +/* + * 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; +} + +/* + * 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); +} + +/* + * 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)); + uint32_t x3 = ((x2 & arg3) | (uint32_t)((uint64_t)(~x2) & arg2)); + *out1 = x3; +} -In fiat_25519_carry_square: -Computed bounds (Some [Some [0x0 ~> 0x3ffffff], Some [0x0 ~> 0x1ffffff], Some [0x0 ~> 0xcee8f59cf0a40c7a3d673c28f96ba3d673c29031e8f59d30a3e5a], Some [0x0 ~> 0x1ffffff], Some [0x0 ~> 0x3ffffff], Some [0x0 ~> 0x1ffffff], Some [0x0 ~> 0x3ffffff], Some [0x0 ~> 0x1ffffff], Some [0x0 ~> 0x3ffffff], Some [0x0 ~> 0x1ffffff]]) are not tight enough (expected bounds not looser than (Some [Some [0x0 ~> 0x4666666], Some [0x0 ~> 0x2333333], Some [0x0 ~> 0x4666666], Some [0x0 ~> 0x2333333], Some [0x0 ~> 0x4666666], Some [0x0 ~> 0x2333333], Some [0x0 ~> 0x4666666], Some [0x0 ~> 0x2333333], Some [0x0 ~> 0x4666666], Some [0x0 ~> 0x2333333]])). -The bounds [0x0 ~> 0xcee8f59cf0a40c7a3d673c28f96ba3d673c29031e8f59d30a3e5a] are looser than the expected bounds [0x0 ~> 0x4666666] -When doing bounds analysis on the syntax tree: /* * 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: None + * out1: [[0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333], [0x0 ~> 0x4666666], [0x0 ~> 0x2333333]] */ -void f(uint256 out1[10], const uint32_t arg1[10]) { +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]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x2 = ((uint64_t)(arg1[9]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x3 = ((uint64_t)(arg1[9]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x4 = ((uint64_t)(arg1[9]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x5 = ((uint64_t)(arg1[9]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x6 = ((uint64_t)(arg1[9]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); + uint64_t x7 = ((uint64_t)(arg1[9]) * ((arg2[3]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x8 = ((uint64_t)(arg1[9]) * ((arg2[2]) * (uint32_t)UINT8_C(0x13))); + uint64_t x9 = ((uint64_t)(arg1[9]) * ((arg2[1]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x10 = ((uint64_t)(arg1[8]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); + uint64_t x11 = ((uint64_t)(arg1[8]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x12 = ((uint64_t)(arg1[8]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); + uint64_t x13 = ((uint64_t)(arg1[8]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x14 = ((uint64_t)(arg1[8]) * ((arg2[5]) * (uint32_t)UINT8_C(0x13))); + uint64_t x15 = ((uint64_t)(arg1[8]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); + uint64_t x16 = ((uint64_t)(arg1[8]) * ((arg2[3]) * (uint32_t)UINT8_C(0x13))); + uint64_t x17 = ((uint64_t)(arg1[8]) * ((arg2[2]) * (uint32_t)UINT8_C(0x13))); + uint64_t x18 = ((uint64_t)(arg1[7]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x19 = ((uint64_t)(arg1[7]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x20 = ((uint64_t)(arg1[7]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x21 = ((uint64_t)(arg1[7]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x22 = ((uint64_t)(arg1[7]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x23 = ((uint64_t)(arg1[7]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); + uint64_t x24 = ((uint64_t)(arg1[7]) * ((arg2[3]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x25 = ((uint64_t)(arg1[6]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); + uint64_t x26 = ((uint64_t)(arg1[6]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x27 = ((uint64_t)(arg1[6]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); + uint64_t x28 = ((uint64_t)(arg1[6]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x29 = ((uint64_t)(arg1[6]) * ((arg2[5]) * (uint32_t)UINT8_C(0x13))); + uint64_t x30 = ((uint64_t)(arg1[6]) * ((arg2[4]) * (uint32_t)UINT8_C(0x13))); + uint64_t x31 = ((uint64_t)(arg1[5]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x32 = ((uint64_t)(arg1[5]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x33 = ((uint64_t)(arg1[5]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x34 = ((uint64_t)(arg1[5]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x35 = ((uint64_t)(arg1[5]) * ((arg2[5]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x36 = ((uint64_t)(arg1[4]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); + uint64_t x37 = ((uint64_t)(arg1[4]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x38 = ((uint64_t)(arg1[4]) * ((arg2[7]) * (uint32_t)UINT8_C(0x13))); + uint64_t x39 = ((uint64_t)(arg1[4]) * ((arg2[6]) * (uint32_t)UINT8_C(0x13))); + uint64_t x40 = ((uint64_t)(arg1[3]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x41 = ((uint64_t)(arg1[3]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x42 = ((uint64_t)(arg1[3]) * ((arg2[7]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + uint64_t x43 = ((uint64_t)(arg1[2]) * ((arg2[9]) * (uint32_t)UINT8_C(0x13))); + uint64_t x44 = ((uint64_t)(arg1[2]) * ((arg2[8]) * (uint32_t)UINT8_C(0x13))); + uint64_t x45 = ((uint64_t)(arg1[1]) * ((arg2[9]) * ((uint32_t)0x2 * UINT8_C(0x13)))); + 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]) * (uint32_t)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]) * (uint32_t)0x2)); + uint64_t x58 = ((uint64_t)(arg1[5]) * (arg2[2])); + uint64_t x59 = ((uint64_t)(arg1[5]) * ((arg2[1]) * (uint32_t)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]) * (uint32_t)0x2)); + uint64_t x69 = ((uint64_t)(arg1[3]) * (arg2[4])); + uint64_t x70 = ((uint64_t)(arg1[3]) * ((arg2[3]) * (uint32_t)0x2)); + uint64_t x71 = ((uint64_t)(arg1[3]) * (arg2[2])); + uint64_t x72 = ((uint64_t)(arg1[3]) * ((arg2[1]) * (uint32_t)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]) * (uint32_t)0x2)); + uint64_t x84 = ((uint64_t)(arg1[1]) * (arg2[6])); + uint64_t x85 = ((uint64_t)(arg1[1]) * ((arg2[5]) * (uint32_t)0x2)); + uint64_t x86 = ((uint64_t)(arg1[1]) * (arg2[4])); + uint64_t x87 = ((uint64_t)(arg1[1]) * ((arg2[3]) * (uint32_t)0x2)); + uint64_t x88 = ((uint64_t)(arg1[1]) * (arg2[2])); + uint64_t x89 = ((uint64_t)(arg1[1]) * ((arg2[1]) * (uint32_t)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 * (uint64_t)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); + uint32_t x145 = (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; +} + +/* + * 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]) * (uint32_t)UINT8_C(0x13)); uint32_t x2 = (x1 * (uint32_t)0x2); uint32_t x3 = ((arg1[9]) * (uint32_t)0x2); @@ -36,125 +280,630 @@ void f(uint256 out1[10], const uint32_t arg1[10]) { uint32_t x10 = ((arg1[6]) * (uint32_t)UINT8_C(0x13)); uint64_t x11 = (x10 * (uint64_t)0x2); uint32_t x12 = ((arg1[6]) * (uint32_t)0x2); - uint32_t x13 = ((arg1[5]) * (uint32_t)0x2); - uint32_t x14 = ((arg1[4]) * (uint32_t)0x2); - uint32_t x15 = ((arg1[3]) * (uint32_t)0x2); - uint32_t x16 = ((arg1[2]) * (uint32_t)0x2); - uint32_t x17 = ((arg1[1]) * (uint32_t)0x2); - uint512 x18 = ((uint512)((uint64_t)(arg1[9]) * (arg1[9])) << 230); - uint64_t x19 = ((uint64_t)(arg1[8]) * x2); - uint256 x20 = ((uint256)((uint64_t)(arg1[8]) * (arg1[8])) << 178); - uint64_t x21 = ((arg1[7]) * (x2 * (uint64_t)0x2)); - uint64_t x22 = ((arg1[7]) * x5); - uint256 x23 = ((uint256)((uint64_t)(arg1[7]) * (arg1[7])) << 128); - uint64_t x24 = ((uint64_t)(arg1[6]) * x2); - uint64_t x25 = ((arg1[6]) * x5); - uint64_t x26 = ((uint64_t)(arg1[6]) * x8); - uint256 x27 = ((uint256)((uint64_t)(arg1[6]) * (arg1[6])) << 76); - uint64_t x28 = ((arg1[5]) * (x2 * (uint64_t)0x2)); - uint64_t x29 = ((arg1[5]) * x5); - uint64_t x30 = ((arg1[5]) * (x8 * (uint64_t)0x2)); - uint64_t x31 = ((arg1[5]) * x11); - uint128 x32 = ((uint128)((uint64_t)(arg1[5]) * (arg1[5])) << 26); - uint64_t x33 = ((uint64_t)(arg1[4]) * x2); - uint64_t x34 = ((arg1[4]) * x5); - uint64_t x35 = ((uint64_t)(arg1[4]) * x8); - uint64_t x36 = ((arg1[4]) * x11); - uint64_t x37 = ((uint64_t)(arg1[4]) * x13); - uint64_t x38 = ((uint64_t)(arg1[4]) * (arg1[4])); - uint64_t x39 = ((arg1[3]) * (x2 * (uint64_t)0x2)); - uint64_t x40 = ((arg1[3]) * x5); - uint64_t x41 = ((arg1[3]) * (x8 * (uint64_t)0x2)); - uint64_t x42 = ((uint64_t)(arg1[3]) * x12); - uint64_t x43 = ((uint64_t)(arg1[3]) * (x13 * (uint32_t)0x2)); - uint64_t x44 = ((uint64_t)(arg1[3]) * x14); - uint64_t x45 = ((uint64_t)(arg1[3]) * ((arg1[3]) * (uint32_t)0x2)); - uint64_t x46 = ((uint64_t)(arg1[2]) * x2); - uint64_t x47 = ((arg1[2]) * x5); - uint64_t x48 = ((uint64_t)(arg1[2]) * x9); - uint64_t x49 = ((uint64_t)(arg1[2]) * x12); - uint64_t x50 = ((uint64_t)(arg1[2]) * x13); + uint32_t x13 = ((arg1[5]) * (uint32_t)UINT8_C(0x13)); + uint32_t x14 = ((arg1[5]) * (uint32_t)0x2); + uint32_t x15 = ((arg1[4]) * (uint32_t)0x2); + uint32_t x16 = ((arg1[3]) * (uint32_t)0x2); + uint32_t x17 = ((arg1[2]) * (uint32_t)0x2); + uint32_t x18 = ((arg1[1]) * (uint32_t)0x2); + uint64_t x19 = ((uint64_t)(arg1[9]) * (x1 * (uint32_t)0x2)); + uint64_t x20 = ((uint64_t)(arg1[8]) * x2); + uint64_t x21 = ((uint64_t)(arg1[8]) * x4); + uint64_t x22 = ((arg1[7]) * (x2 * (uint64_t)0x2)); + uint64_t x23 = ((arg1[7]) * x5); + uint64_t x24 = ((uint64_t)(arg1[7]) * (x7 * (uint32_t)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]) * (x2 * (uint64_t)0x2)); + uint64_t x30 = ((arg1[5]) * x5); + uint64_t x31 = ((arg1[5]) * (x8 * (uint64_t)0x2)); + uint64_t x32 = ((arg1[5]) * x11); + uint64_t x33 = ((uint64_t)(arg1[5]) * (x13 * (uint32_t)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]) * (x2 * (uint64_t)0x2)); + uint64_t x41 = ((arg1[3]) * x5); + uint64_t x42 = ((arg1[3]) * (x8 * (uint64_t)0x2)); + uint64_t x43 = ((uint64_t)(arg1[3]) * x12); + uint64_t x44 = ((uint64_t)(arg1[3]) * (x14 * (uint32_t)0x2)); + uint64_t x45 = ((uint64_t)(arg1[3]) * x15); + uint64_t x46 = ((uint64_t)(arg1[3]) * ((arg1[3]) * (uint32_t)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]) * (arg1[2])); - uint64_t x54 = ((arg1[1]) * (x2 * (uint64_t)0x2)); - uint64_t x55 = ((uint64_t)(arg1[1]) * x6); - uint64_t x56 = ((uint64_t)(arg1[1]) * (x9 * (uint32_t)0x2)); - uint64_t x57 = ((uint64_t)(arg1[1]) * x12); - uint64_t x58 = ((uint64_t)(arg1[1]) * (x13 * (uint32_t)0x2)); - uint64_t x59 = ((uint64_t)(arg1[1]) * x14); - uint64_t x60 = ((uint64_t)(arg1[1]) * (x15 * (uint32_t)0x2)); - uint64_t x61 = ((uint64_t)(arg1[1]) * x16); - uint64_t x62 = ((uint64_t)(arg1[1]) * ((arg1[1]) * (uint32_t)0x2)); - uint64_t x63 = ((uint64_t)(arg1[0]) * x3); - uint64_t x64 = ((uint64_t)(arg1[0]) * x6); - uint64_t x65 = ((uint64_t)(arg1[0]) * x9); - uint64_t x66 = ((uint64_t)(arg1[0]) * x12); - uint64_t x67 = ((uint64_t)(arg1[0]) * x13); + uint64_t x53 = ((uint64_t)(arg1[2]) * x16); + uint64_t x54 = ((uint64_t)(arg1[2]) * (arg1[2])); + uint64_t x55 = ((arg1[1]) * (x2 * (uint64_t)0x2)); + uint64_t x56 = ((uint64_t)(arg1[1]) * x6); + uint64_t x57 = ((uint64_t)(arg1[1]) * (x9 * (uint32_t)0x2)); + uint64_t x58 = ((uint64_t)(arg1[1]) * x12); + uint64_t x59 = ((uint64_t)(arg1[1]) * (x14 * (uint32_t)0x2)); + uint64_t x60 = ((uint64_t)(arg1[1]) * x15); + uint64_t x61 = ((uint64_t)(arg1[1]) * (x16 * (uint32_t)0x2)); + uint64_t x62 = ((uint64_t)(arg1[1]) * x17); + uint64_t x63 = ((uint64_t)(arg1[1]) * ((arg1[1]) * (uint32_t)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]) * (arg1[0])); - uint64_t x73 = (x72 + (x54 + (x47 + (x41 + x36)))); - uint64_t x74 = (x73 >> 26); - uint32_t x75 = (uint32_t)(x73 & UINT32_C(0x3ffffff)); - uint512 x76 = (x63 + (x55 + (x48 + (x42 + (x37 + (x32 + (x27 + (x23 + (x20 + x18))))))))); + 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 + x19)))); - uint64_t x79 = (x66 + (x58 + (x51 + (x45 + x21)))); - uint64_t x80 = (x67 + (x59 + (x52 + (x24 + x22)))); - uint64_t x81 = (x68 + (x60 + (x53 + (x28 + x25)))); - uint64_t x82 = (x69 + (x61 + (x33 + (x29 + x26)))); - uint64_t x83 = (x70 + (x62 + (x39 + (x34 + x30)))); - uint64_t x84 = (x71 + (x46 + (x40 + (x35 + x31)))); - uint64_t x85 = (x74 + x84); - uint64_t x86 = (x85 >> 25); - uint32_t x87 = (uint32_t)(x85 & UINT32_C(0x1ffffff)); - uint64_t x88 = (x86 + x83); - uint64_t x89 = (x88 >> 26); - uint32_t x90 = (uint32_t)(x88 & UINT32_C(0x3ffffff)); - uint64_t x91 = (x89 + x82); - uint64_t x92 = (x91 >> 25); - uint32_t x93 = (uint32_t)(x91 & UINT32_C(0x1ffffff)); - uint64_t x94 = (x92 + x81); - uint64_t x95 = (x94 >> 26); - uint32_t x96 = (uint32_t)(x94 & UINT32_C(0x3ffffff)); - uint64_t x97 = (x95 + x80); - uint64_t x98 = (x97 >> 25); - uint32_t x99 = (uint32_t)(x97 & UINT32_C(0x1ffffff)); - uint64_t x100 = (x98 + x79); - uint64_t x101 = (x100 >> 26); - uint32_t x102 = (uint32_t)(x100 & UINT32_C(0x3ffffff)); - uint64_t x103 = (x101 + x78); - uint64_t x104 = (x103 >> 25); - uint32_t x105 = (uint32_t)(x103 & UINT32_C(0x1ffffff)); - uint64_t x106 = (x104 + x77); - uint64_t x107 = (x106 >> 26); - uint32_t x108 = (uint32_t)(x106 & UINT32_C(0x3ffffff)); - uint512 x109 = (x107 + x76); - uint512 x110 = (x109 >> 25); - uint32_t x111 = (uint32_t)(x109 & UINT32_C(0x1ffffff)); - uint512 x112 = (x110 * (uint512)UINT8_C(0x13)); - uint512 x113 = (x75 + x112); - uint256 x114 = (uint256)(x113 >> 26); - uint32_t x115 = (uint32_t)(x113 & UINT32_C(0x3ffffff)); - uint256 x116 = (x114 + x87); - uint256 x117 = (x116 >> 25); - uint32_t x118 = (uint32_t)(x116 & UINT32_C(0x1ffffff)); - uint256 x119 = (x117 + x90); - out1[0] = x115; - out1[1] = x118; - out1[2] = x119; - out1[3] = x93; - out1[4] = x96; - out1[5] = x99; - out1[6] = x102; - out1[7] = x105; - out1[8] = x108; - out1[9] = x111; + 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 * (uint64_t)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); + uint32_t x118 = (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; +} + +/* + * 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 * (uint32_t)UINT8_C(0x13)); + uint32_t x41 = (x12 + x40); + uint32_t x42 = (x41 >> 26); + uint32_t x43 = (x41 & UINT32_C(0x3ffffff)); + uint32_t x44 = (x42 + x15); + uint32_t x45 = (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; +} + +/* + * 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) * (uint32_t)UINT8_C(0x13))); + uint32_t x12 = ((x11 >> 26) + (x2 & UINT32_C(0x1ffffff))); + uint32_t x13 = (x11 & UINT32_C(0x3ffffff)); + uint32_t x14 = (x12 & UINT32_C(0x1ffffff)); + uint32_t x15 = ((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; +} + +/* + * 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; +} + +/* + * 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; +} + +/* + * 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; } -with input bounds (Some [Some [0x0 ~> 0xd333332], Some [0x0 ~> 0x6999999], Some [0x0 ~> 0xd333332], Some [0x0 ~> 0x6999999], Some [0x0 ~> 0xd333332], Some [0x0 ~> 0x6999999], Some [0x0 ~> 0xd333332], Some [0x0 ~> 0x6999999], Some [0x0 ~> 0xd333332], Some [0x0 ~> 0x6999999]], tt). +/* + * 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; +} +/* + * 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, (x21 & UINT32_C(0x3ffffed)), x1); + uint32_t x24; + fiat_25519_uint1 x25; + fiat_25519_addcarryx_u25(&x24, &x25, x23, (x21 & UINT32_C(0x1ffffff)), x3); + uint32_t x26; + fiat_25519_uint1 x27; + fiat_25519_addcarryx_u26(&x26, &x27, x25, (x21 & UINT32_C(0x3ffffff)), x5); + uint32_t x28; + fiat_25519_uint1 x29; + fiat_25519_addcarryx_u25(&x28, &x29, x27, (x21 & UINT32_C(0x1ffffff)), x7); + uint32_t x30; + fiat_25519_uint1 x31; + fiat_25519_addcarryx_u26(&x30, &x31, x29, (x21 & UINT32_C(0x3ffffff)), x9); + uint32_t x32; + fiat_25519_uint1 x33; + fiat_25519_addcarryx_u25(&x32, &x33, x31, (x21 & UINT32_C(0x1ffffff)), x11); + uint32_t x34; + fiat_25519_uint1 x35; + fiat_25519_addcarryx_u26(&x34, &x35, x33, (x21 & UINT32_C(0x3ffffff)), x13); + uint32_t x36; + fiat_25519_uint1 x37; + fiat_25519_addcarryx_u25(&x36, &x37, x35, (x21 & UINT32_C(0x1ffffff)), x15); + uint32_t x38; + fiat_25519_uint1 x39; + fiat_25519_addcarryx_u26(&x38, &x39, x37, (x21 & UINT32_C(0x3ffffff)), x17); + uint32_t x40; + fiat_25519_uint1 x41; + fiat_25519_addcarryx_u25(&x40, &x41, x39, (x21 & UINT32_C(0x1ffffff)), x19); + 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)); + fiat_25519_uint1 x84 = (fiat_25519_uint1)(x82 >> 8); + uint8_t x85 = (uint8_t)(x82 & UINT8_C(0xff)); + uint32_t x86 = (x84 + x32); + uint32_t x87 = (x86 >> 8); + uint8_t x88 = (uint8_t)(x86 & UINT8_C(0xff)); + uint32_t x89 = (x87 >> 8); + uint8_t x90 = (uint8_t)(x87 & UINT8_C(0xff)); + fiat_25519_uint1 x91 = (fiat_25519_uint1)(x89 >> 8); + uint8_t x92 = (uint8_t)(x89 & UINT8_C(0xff)); + uint32_t x93 = (x91 + x45); + uint32_t x94 = (x93 >> 8); + uint8_t x95 = (uint8_t)(x93 & UINT8_C(0xff)); + uint32_t x96 = (x94 >> 8); + uint8_t x97 = (uint8_t)(x94 & UINT8_C(0xff)); + uint8_t x98 = (uint8_t)(x96 >> 8); + uint8_t x99 = (uint8_t)(x96 & UINT8_C(0xff)); + uint32_t x100 = (x98 + x44); + uint32_t x101 = (x100 >> 8); + uint8_t x102 = (uint8_t)(x100 & UINT8_C(0xff)); + uint32_t x103 = (x101 >> 8); + uint8_t x104 = (uint8_t)(x101 & UINT8_C(0xff)); + uint8_t x105 = (uint8_t)(x103 >> 8); + uint8_t x106 = (uint8_t)(x103 & UINT8_C(0xff)); + uint32_t x107 = (x105 + x43); + uint32_t x108 = (x107 >> 8); + uint8_t x109 = (uint8_t)(x107 & UINT8_C(0xff)); + uint32_t x110 = (x108 >> 8); + uint8_t x111 = (uint8_t)(x108 & UINT8_C(0xff)); + uint8_t x112 = (uint8_t)(x110 >> 8); + uint8_t x113 = (uint8_t)(x110 & UINT8_C(0xff)); + uint32_t x114 = (x112 + x42); + uint32_t x115 = (x114 >> 8); + uint8_t x116 = (uint8_t)(x114 & UINT8_C(0xff)); + uint32_t x117 = (x115 >> 8); + uint8_t x118 = (uint8_t)(x115 & UINT8_C(0xff)); + uint8_t x119 = (uint8_t)(x117 >> 8); + uint8_t x120 = (uint8_t)(x117 & 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] = x85; + out1[16] = x88; + out1[17] = x90; + out1[18] = x92; + out1[19] = x95; + out1[20] = x97; + out1[21] = x99; + out1[22] = x102; + out1[23] = x104; + out1[24] = x106; + out1[25] = x109; + out1[26] = x111; + out1[27] = x113; + out1[28] = x116; + out1[29] = x118; + out1[30] = x120; + out1[31] = x119; +} + +/* + * 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); + fiat_25519_uint1 x55 = (fiat_25519_uint1)(x54 >> 26); + uint32_t x56 = (x54 & UINT32_C(0x3ffffff)); + uint32_t x57 = (x55 + x40); + uint8_t x58 = (uint8_t)(x57 >> 25); + uint32_t x59 = (x57 & UINT32_C(0x1ffffff)); + uint32_t x60 = (x58 + x39); + uint8_t x61 = (uint8_t)(x60 >> 26); + uint32_t x62 = (x60 & UINT32_C(0x3ffffff)); + uint32_t x63 = (x61 + x38); + uint8_t x64 = (uint8_t)(x63 >> 25); + uint32_t x65 = (x63 & UINT32_C(0x1ffffff)); + uint32_t x66 = (x64 + x37); + uint8_t x67 = (uint8_t)(x66 >> 26); + uint32_t x68 = (x66 & UINT32_C(0x3ffffff)); + uint32_t x69 = (x67 + x36); + out1[0] = x35; + out1[1] = x47; + out1[2] = x50; + out1[3] = x53; + out1[4] = x56; + out1[5] = x59; + out1[6] = x62; + out1[7] = x65; + out1[8] = x68; + out1[9] = x69; +} diff --git a/curve25519_64.c b/curve25519_64.c index fbeac1509..cb16fdecd 100644 --- a/curve25519_64.c +++ b/curve25519_64.c @@ -1,4 +1,3 @@ -check_args /* Autogenerated */ /* curve description: 25519 */ /* requested operations: carry_mul, carry_square, carry_scmul121666, carry, add, sub, opp, selectznz, to_bytes, from_bytes */ @@ -14,18 +13,129 @@ typedef signed __int128 fiat_25519_int128; typedef unsigned __int128 fiat_25519_uint128; +/* + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [0x0 ~> 0x7ffffffffffff] + * arg3: [0x0 ~> 0x7ffffffffffff] + * Output Bounds: + * out1: [0x0 ~> 0x7ffffffffffff] + * out2: [0x0 ~> 0x1] + */ +static void fiat_25519_addcarryx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { + uint64_t x1 = ((arg1 + arg2) + arg3); + uint64_t x2 = (x1 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint1 x3 = (fiat_25519_uint1)(x1 >> 51); + *out1 = x2; + *out2 = x3; +} + +/* + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [0x0 ~> 0x7ffffffffffff] + * arg3: [0x0 ~> 0x7ffffffffffff] + * Output Bounds: + * out1: [0x0 ~> 0x7ffffffffffff] + * out2: [0x0 ~> 0x1] + */ +static void fiat_25519_subborrowx_u51(uint64_t* out1, fiat_25519_uint1* out2, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { + int64_t x1 = ((int64_t)(arg2 - (int64_t)arg1) - (int64_t)arg3); + fiat_25519_int1 x2 = (fiat_25519_int1)(x1 >> 51); + uint64_t x3 = (x1 & UINT64_C(0x7ffffffffffff)); + *out1 = x3; + *out2 = (fiat_25519_uint1)(0x0 - x2); +} + +/* + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [0x0 ~> 0xffffffffffffffff] + * arg3: [0x0 ~> 0xffffffffffffffff] + * Output Bounds: + * out1: [0x0 ~> 0xffffffffffffffff] + */ +static void fiat_25519_cmovznz_u64(uint64_t* out1, fiat_25519_uint1 arg1, uint64_t arg2, uint64_t arg3) { + fiat_25519_uint1 x1 = (!(!arg1)); + uint64_t x2 = ((fiat_25519_int1)(0x0 - x1) & UINT64_C(0xffffffffffffffff)); + uint64_t x3 = ((x2 & arg3) | (uint64_t)((fiat_25519_uint128)(~x2) & arg2)); + *out1 = x3; +} + +/* + * Input Bounds: + * arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + * arg2: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + * Output Bounds: + * out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + */ +static void fiat_25519_carry_mul(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { + fiat_25519_uint128 x1 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x2 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x3 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[2]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x4 = ((fiat_25519_uint128)(arg1[4]) * ((arg2[1]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x5 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x6 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x7 = ((fiat_25519_uint128)(arg1[3]) * ((arg2[2]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x8 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x9 = ((fiat_25519_uint128)(arg1[2]) * ((arg2[3]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x10 = ((fiat_25519_uint128)(arg1[1]) * ((arg2[4]) * (uint64_t)UINT8_C(0x13))); + fiat_25519_uint128 x11 = ((fiat_25519_uint128)(arg1[4]) * (arg2[0])); + fiat_25519_uint128 x12 = ((fiat_25519_uint128)(arg1[3]) * (arg2[1])); + fiat_25519_uint128 x13 = ((fiat_25519_uint128)(arg1[3]) * (arg2[0])); + fiat_25519_uint128 x14 = ((fiat_25519_uint128)(arg1[2]) * (arg2[2])); + fiat_25519_uint128 x15 = ((fiat_25519_uint128)(arg1[2]) * (arg2[1])); + fiat_25519_uint128 x16 = ((fiat_25519_uint128)(arg1[2]) * (arg2[0])); + fiat_25519_uint128 x17 = ((fiat_25519_uint128)(arg1[1]) * (arg2[3])); + fiat_25519_uint128 x18 = ((fiat_25519_uint128)(arg1[1]) * (arg2[2])); + fiat_25519_uint128 x19 = ((fiat_25519_uint128)(arg1[1]) * (arg2[1])); + fiat_25519_uint128 x20 = ((fiat_25519_uint128)(arg1[1]) * (arg2[0])); + fiat_25519_uint128 x21 = ((fiat_25519_uint128)(arg1[0]) * (arg2[4])); + fiat_25519_uint128 x22 = ((fiat_25519_uint128)(arg1[0]) * (arg2[3])); + fiat_25519_uint128 x23 = ((fiat_25519_uint128)(arg1[0]) * (arg2[2])); + fiat_25519_uint128 x24 = ((fiat_25519_uint128)(arg1[0]) * (arg2[1])); + fiat_25519_uint128 x25 = ((fiat_25519_uint128)(arg1[0]) * (arg2[0])); + fiat_25519_uint128 x26 = (x25 + (x10 + (x9 + (x7 + x4)))); + uint64_t x27 = (uint64_t)(x26 >> 51); + uint64_t x28 = (uint64_t)(x26 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint128 x29 = (x21 + (x17 + (x14 + (x12 + x11)))); + fiat_25519_uint128 x30 = (x22 + (x18 + (x15 + (x13 + x1)))); + fiat_25519_uint128 x31 = (x23 + (x19 + (x16 + (x5 + x2)))); + fiat_25519_uint128 x32 = (x24 + (x20 + (x8 + (x6 + x3)))); + fiat_25519_uint128 x33 = (x27 + x32); + uint64_t x34 = (uint64_t)(x33 >> 51); + uint64_t x35 = (uint64_t)(x33 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint128 x36 = (x34 + x31); + uint64_t x37 = (uint64_t)(x36 >> 51); + uint64_t x38 = (uint64_t)(x36 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint128 x39 = (x37 + x30); + uint64_t x40 = (uint64_t)(x39 >> 51); + uint64_t x41 = (uint64_t)(x39 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint128 x42 = (x40 + x29); + uint64_t x43 = (uint64_t)(x42 >> 51); + uint64_t x44 = (uint64_t)(x42 & UINT64_C(0x7ffffffffffff)); + uint64_t x45 = (x43 * (uint64_t)UINT8_C(0x13)); + uint64_t x46 = (x28 + x45); + uint64_t x47 = (x46 >> 51); + uint64_t x48 = (x46 & UINT64_C(0x7ffffffffffff)); + uint64_t x49 = (x47 + x35); + uint64_t x50 = (x49 >> 51); + uint64_t x51 = (x49 & UINT64_C(0x7ffffffffffff)); + uint64_t x52 = (x50 + x38); + out1[0] = x48; + out1[1] = x51; + out1[2] = x52; + out1[3] = x41; + out1[4] = x44; +} -In fiat_25519_carry_square: -Computed bounds (Some [Some [0x0 ~> 0x7ffffffffffff], Some [0x0 ~> 0x7ffffffffffff], Some [0x0 ~> 0x19dd1eb851eb806ae147ae147b7ff47ae147ae01a], Some [0x0 ~> 0x7ffffffffffff], Some [0x0 ~> 0x7ffffffffffff]]) are not tight enough (expected bounds not looser than (Some [Some [0x0 ~> 0x8cccccccccccc], Some [0x0 ~> 0x8cccccccccccc], Some [0x0 ~> 0x8cccccccccccc], Some [0x0 ~> 0x8cccccccccccc], Some [0x0 ~> 0x8cccccccccccc]])). -The bounds [0x0 ~> 0x19dd1eb851eb806ae147ae147b7ff47ae147ae01a] are looser than the expected bounds [0x0 ~> 0x8cccccccccccc] -When doing bounds analysis on the syntax tree: /* * Input Bounds: * arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] * Output Bounds: - * out1: None + * out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] */ -void f(uint256 out1[5], const uint64_t arg1[5]) { +static void fiat_25519_carry_square(uint64_t out1[5], const uint64_t arg1[5]) { uint64_t x1 = ((arg1[4]) * (uint64_t)UINT8_C(0x13)); uint64_t x2 = (x1 * (uint64_t)0x2); uint64_t x3 = ((arg1[4]) * (uint64_t)0x2); @@ -34,48 +144,48 @@ void f(uint256 out1[5], const uint64_t arg1[5]) { uint64_t x6 = ((arg1[3]) * (uint64_t)0x2); uint64_t x7 = ((arg1[2]) * (uint64_t)0x2); uint64_t x8 = ((arg1[1]) * (uint64_t)0x2); - uint512 x9 = ((uint512)((uint128)(arg1[4]) * (arg1[4])) << 204); - uint128 x10 = ((uint128)(arg1[3]) * x2); - uint256 x11 = ((uint256)((uint128)(arg1[3]) * (arg1[3])) << 102); - uint128 x12 = ((uint128)(arg1[2]) * x2); - uint128 x13 = ((uint128)(arg1[2]) * x5); - uint128 x14 = ((uint128)(arg1[2]) * (arg1[2])); - uint128 x15 = ((uint128)(arg1[1]) * x2); - uint128 x16 = ((uint128)(arg1[1]) * x6); - uint128 x17 = ((uint128)(arg1[1]) * x7); - uint128 x18 = ((uint128)(arg1[1]) * (arg1[1])); - uint128 x19 = ((uint128)(arg1[0]) * x3); - uint128 x20 = ((uint128)(arg1[0]) * x6); - uint128 x21 = ((uint128)(arg1[0]) * x7); - uint128 x22 = ((uint128)(arg1[0]) * x8); - uint128 x23 = ((uint128)(arg1[0]) * (arg1[0])); - uint128 x24 = (x23 + (x15 + x13)); + fiat_25519_uint128 x9 = ((fiat_25519_uint128)(arg1[4]) * x1); + fiat_25519_uint128 x10 = ((fiat_25519_uint128)(arg1[3]) * x2); + fiat_25519_uint128 x11 = ((fiat_25519_uint128)(arg1[3]) * x4); + fiat_25519_uint128 x12 = ((fiat_25519_uint128)(arg1[2]) * x2); + fiat_25519_uint128 x13 = ((fiat_25519_uint128)(arg1[2]) * x5); + fiat_25519_uint128 x14 = ((fiat_25519_uint128)(arg1[2]) * (arg1[2])); + fiat_25519_uint128 x15 = ((fiat_25519_uint128)(arg1[1]) * x2); + fiat_25519_uint128 x16 = ((fiat_25519_uint128)(arg1[1]) * x6); + fiat_25519_uint128 x17 = ((fiat_25519_uint128)(arg1[1]) * x7); + fiat_25519_uint128 x18 = ((fiat_25519_uint128)(arg1[1]) * (arg1[1])); + fiat_25519_uint128 x19 = ((fiat_25519_uint128)(arg1[0]) * x3); + fiat_25519_uint128 x20 = ((fiat_25519_uint128)(arg1[0]) * x6); + fiat_25519_uint128 x21 = ((fiat_25519_uint128)(arg1[0]) * x7); + fiat_25519_uint128 x22 = ((fiat_25519_uint128)(arg1[0]) * x8); + fiat_25519_uint128 x23 = ((fiat_25519_uint128)(arg1[0]) * (arg1[0])); + fiat_25519_uint128 x24 = (x23 + (x15 + x13)); uint64_t x25 = (uint64_t)(x24 >> 51); uint64_t x26 = (uint64_t)(x24 & UINT64_C(0x7ffffffffffff)); - uint512 x27 = (x19 + (x16 + (x14 + (x11 + x9)))); - uint128 x28 = (x20 + x17); - uint128 x29 = (x21 + (x18 + x10)); - uint128 x30 = (x22 + x12); - uint128 x31 = (x25 + x30); + fiat_25519_uint128 x27 = (x19 + (x16 + x14)); + fiat_25519_uint128 x28 = (x20 + (x17 + x9)); + fiat_25519_uint128 x29 = (x21 + (x18 + x10)); + fiat_25519_uint128 x30 = (x22 + (x12 + x11)); + fiat_25519_uint128 x31 = (x25 + x30); uint64_t x32 = (uint64_t)(x31 >> 51); uint64_t x33 = (uint64_t)(x31 & UINT64_C(0x7ffffffffffff)); - uint128 x34 = (x32 + x29); + fiat_25519_uint128 x34 = (x32 + x29); uint64_t x35 = (uint64_t)(x34 >> 51); uint64_t x36 = (uint64_t)(x34 & UINT64_C(0x7ffffffffffff)); - uint128 x37 = (x35 + x28); + fiat_25519_uint128 x37 = (x35 + x28); uint64_t x38 = (uint64_t)(x37 >> 51); uint64_t x39 = (uint64_t)(x37 & UINT64_C(0x7ffffffffffff)); - uint512 x40 = (x38 + x27); - uint512 x41 = (x40 >> 51); + fiat_25519_uint128 x40 = (x38 + x27); + uint64_t x41 = (uint64_t)(x40 >> 51); uint64_t x42 = (uint64_t)(x40 & UINT64_C(0x7ffffffffffff)); - uint512 x43 = (x41 * (uint512)UINT8_C(0x13)); - uint512 x44 = (x26 + x43); - uint256 x45 = (uint256)(x44 >> 51); - uint64_t x46 = (uint64_t)(x44 & UINT64_C(0x7ffffffffffff)); - uint256 x47 = (x45 + x33); - uint256 x48 = (x47 >> 51); - uint64_t x49 = (uint64_t)(x47 & UINT64_C(0x7ffffffffffff)); - uint256 x50 = (x48 + x36); + uint64_t x43 = (x41 * (uint64_t)UINT8_C(0x13)); + uint64_t x44 = (x26 + x43); + uint64_t x45 = (x44 >> 51); + uint64_t x46 = (x44 & UINT64_C(0x7ffffffffffff)); + uint64_t x47 = (x45 + x33); + uint64_t x48 = (x47 >> 51); + uint64_t x49 = (x47 & UINT64_C(0x7ffffffffffff)); + uint64_t x50 = (x48 + x36); out1[0] = x46; out1[1] = x49; out1[2] = x50; @@ -83,6 +193,361 @@ void f(uint256 out1[5], const uint64_t arg1[5]) { out1[4] = x42; } -with input bounds (Some [Some [0x0 ~> 0x1a666666666664], Some [0x0 ~> 0x1a666666666664], Some [0x0 ~> 0x1a666666666664], Some [0x0 ~> 0x1a666666666664], Some [0x0 ~> 0x1a666666666664]], tt). +/* + * Input Bounds: + * arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + * Output Bounds: + * out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + */ +static void fiat_25519_carry_scmul_121666(uint64_t out1[5], const uint64_t arg1[5]) { + fiat_25519_uint128 x1 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[4])); + fiat_25519_uint128 x2 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[3])); + fiat_25519_uint128 x3 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[2])); + fiat_25519_uint128 x4 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[1])); + fiat_25519_uint128 x5 = (UINT32_C(0x1db42) * (fiat_25519_uint128)(arg1[0])); + uint64_t x6 = (uint64_t)(x5 >> 51); + uint64_t x7 = (uint64_t)(x5 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint128 x8 = (x6 + x4); + uint64_t x9 = (uint64_t)(x8 >> 51); + uint64_t x10 = (uint64_t)(x8 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint128 x11 = (x9 + x3); + uint64_t x12 = (uint64_t)(x11 >> 51); + uint64_t x13 = (uint64_t)(x11 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint128 x14 = (x12 + x2); + uint64_t x15 = (uint64_t)(x14 >> 51); + uint64_t x16 = (uint64_t)(x14 & UINT64_C(0x7ffffffffffff)); + fiat_25519_uint128 x17 = (x15 + x1); + uint64_t x18 = (uint64_t)(x17 >> 51); + uint64_t x19 = (uint64_t)(x17 & UINT64_C(0x7ffffffffffff)); + uint64_t x20 = (x18 * (uint64_t)UINT8_C(0x13)); + uint64_t x21 = (x7 + x20); + uint64_t x22 = (x21 >> 51); + uint64_t x23 = (x21 & UINT64_C(0x7ffffffffffff)); + uint64_t x24 = (x22 + x10); + uint64_t x25 = (x24 >> 51); + uint64_t x26 = (x24 & UINT64_C(0x7ffffffffffff)); + uint64_t x27 = (x25 + x13); + out1[0] = x23; + out1[1] = x26; + out1[2] = x27; + out1[3] = x16; + out1[4] = x19; +} + +/* + * Input Bounds: + * arg1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + * Output Bounds: + * out1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + */ +static void fiat_25519_carry(uint64_t out1[5], const uint64_t arg1[5]) { + uint64_t x1 = (arg1[0]); + uint64_t x2 = ((x1 >> 51) + (arg1[1])); + uint64_t x3 = ((x2 >> 51) + (arg1[2])); + uint64_t x4 = ((x3 >> 51) + (arg1[3])); + uint64_t x5 = ((x4 >> 51) + (arg1[4])); + uint64_t x6 = ((x1 & UINT64_C(0x7ffffffffffff)) + ((x5 >> 51) * (uint64_t)UINT8_C(0x13))); + uint64_t x7 = ((x6 >> 51) + (x2 & UINT64_C(0x7ffffffffffff))); + uint64_t x8 = (x6 & UINT64_C(0x7ffffffffffff)); + uint64_t x9 = (x7 & UINT64_C(0x7ffffffffffff)); + uint64_t x10 = ((x7 >> 51) + (x3 & UINT64_C(0x7ffffffffffff))); + uint64_t x11 = (x4 & UINT64_C(0x7ffffffffffff)); + uint64_t x12 = (x5 & UINT64_C(0x7ffffffffffff)); + out1[0] = x8; + out1[1] = x9; + out1[2] = x10; + out1[3] = x11; + out1[4] = x12; +} + +/* + * Input Bounds: + * arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * arg2: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * Output Bounds: + * out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + */ +static void fiat_25519_add(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { + uint64_t x1 = ((arg1[0]) + (arg2[0])); + uint64_t x2 = ((arg1[1]) + (arg2[1])); + uint64_t x3 = ((arg1[2]) + (arg2[2])); + uint64_t x4 = ((arg1[3]) + (arg2[3])); + uint64_t x5 = ((arg1[4]) + (arg2[4])); + out1[0] = x1; + out1[1] = x2; + out1[2] = x3; + out1[3] = x4; + out1[4] = x5; +} + +/* + * Input Bounds: + * arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * arg2: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * Output Bounds: + * out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + */ +static void fiat_25519_sub(uint64_t out1[5], const uint64_t arg1[5], const uint64_t arg2[5]) { + uint64_t x1 = ((UINT64_C(0xfffffffffffda) + (arg1[0])) - (arg2[0])); + uint64_t x2 = ((UINT64_C(0xffffffffffffe) + (arg1[1])) - (arg2[1])); + uint64_t x3 = ((UINT64_C(0xffffffffffffe) + (arg1[2])) - (arg2[2])); + uint64_t x4 = ((UINT64_C(0xffffffffffffe) + (arg1[3])) - (arg2[3])); + uint64_t x5 = ((UINT64_C(0xffffffffffffe) + (arg1[4])) - (arg2[4])); + out1[0] = x1; + out1[1] = x2; + out1[2] = x3; + out1[3] = x4; + out1[4] = x5; +} + +/* + * Input Bounds: + * arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * Output Bounds: + * out1: [[0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664], [0x0 ~> 0x1a666666666664]] + */ +static void fiat_25519_opp(uint64_t out1[5], const uint64_t arg1[5]) { + uint64_t x1 = (UINT64_C(0xfffffffffffda) - (arg1[0])); + uint64_t x2 = (UINT64_C(0xffffffffffffe) - (arg1[1])); + uint64_t x3 = (UINT64_C(0xffffffffffffe) - (arg1[2])); + uint64_t x4 = (UINT64_C(0xffffffffffffe) - (arg1[3])); + uint64_t x5 = (UINT64_C(0xffffffffffffe) - (arg1[4])); + out1[0] = x1; + out1[1] = x2; + out1[2] = x3; + out1[3] = x4; + out1[4] = x5; +} + +/* + * Input Bounds: + * arg1: [0x0 ~> 0x1] + * arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] + * arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] + * Output Bounds: + * out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] + */ +static void fiat_25519_selectznz(uint64_t out1[5], fiat_25519_uint1 arg1, const uint64_t arg2[5], const uint64_t arg3[5]) { + uint64_t x1; + fiat_25519_cmovznz_u64(&x1, arg1, (arg2[0]), (arg3[0])); + uint64_t x2; + fiat_25519_cmovznz_u64(&x2, arg1, (arg2[1]), (arg3[1])); + uint64_t x3; + fiat_25519_cmovznz_u64(&x3, arg1, (arg2[2]), (arg3[2])); + uint64_t x4; + fiat_25519_cmovznz_u64(&x4, arg1, (arg2[3]), (arg3[3])); + uint64_t x5; + fiat_25519_cmovznz_u64(&x5, arg1, (arg2[4]), (arg3[4])); + out1[0] = x1; + out1[1] = x2; + out1[2] = x3; + out1[3] = x4; + out1[4] = x5; +} + +/* + * Input Bounds: + * arg1: [[0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + * 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 uint64_t arg1[5]) { + uint64_t x1; + fiat_25519_uint1 x2; + fiat_25519_subborrowx_u51(&x1, &x2, 0x0, (arg1[0]), UINT64_C(0x7ffffffffffed)); + uint64_t x3; + fiat_25519_uint1 x4; + fiat_25519_subborrowx_u51(&x3, &x4, x2, (arg1[1]), UINT64_C(0x7ffffffffffff)); + uint64_t x5; + fiat_25519_uint1 x6; + fiat_25519_subborrowx_u51(&x5, &x6, x4, (arg1[2]), UINT64_C(0x7ffffffffffff)); + uint64_t x7; + fiat_25519_uint1 x8; + fiat_25519_subborrowx_u51(&x7, &x8, x6, (arg1[3]), UINT64_C(0x7ffffffffffff)); + uint64_t x9; + fiat_25519_uint1 x10; + fiat_25519_subborrowx_u51(&x9, &x10, x8, (arg1[4]), UINT64_C(0x7ffffffffffff)); + uint64_t x11; + fiat_25519_cmovznz_u64(&x11, x10, 0x0, UINT64_C(0xffffffffffffffff)); + uint64_t x12; + fiat_25519_uint1 x13; + fiat_25519_addcarryx_u51(&x12, &x13, 0x0, (x11 & UINT64_C(0x7ffffffffffed)), x1); + uint64_t x14; + fiat_25519_uint1 x15; + fiat_25519_addcarryx_u51(&x14, &x15, x13, (x11 & UINT64_C(0x7ffffffffffff)), x3); + uint64_t x16; + fiat_25519_uint1 x17; + fiat_25519_addcarryx_u51(&x16, &x17, x15, (x11 & UINT64_C(0x7ffffffffffff)), x5); + uint64_t x18; + fiat_25519_uint1 x19; + fiat_25519_addcarryx_u51(&x18, &x19, x17, (x11 & UINT64_C(0x7ffffffffffff)), x7); + uint64_t x20; + fiat_25519_uint1 x21; + fiat_25519_addcarryx_u51(&x20, &x21, x19, (x11 & UINT64_C(0x7ffffffffffff)), x9); + uint64_t x22 = (x20 << 4); + uint64_t x23 = (x18 * (uint64_t)0x2); + uint64_t x24 = (x16 << 6); + uint64_t x25 = (x14 << 3); + uint64_t x26 = (x12 >> 8); + uint8_t x27 = (uint8_t)(x12 & UINT8_C(0xff)); + uint64_t x28 = (x26 >> 8); + uint8_t x29 = (uint8_t)(x26 & UINT8_C(0xff)); + uint64_t x30 = (x28 >> 8); + uint8_t x31 = (uint8_t)(x28 & UINT8_C(0xff)); + uint64_t x32 = (x30 >> 8); + uint8_t x33 = (uint8_t)(x30 & UINT8_C(0xff)); + uint64_t x34 = (x32 >> 8); + uint8_t x35 = (uint8_t)(x32 & UINT8_C(0xff)); + uint8_t x36 = (uint8_t)(x34 >> 8); + uint8_t x37 = (uint8_t)(x34 & UINT8_C(0xff)); + uint64_t x38 = (x36 + x25); + uint64_t x39 = (x38 >> 8); + uint8_t x40 = (uint8_t)(x38 & UINT8_C(0xff)); + uint64_t x41 = (x39 >> 8); + uint8_t x42 = (uint8_t)(x39 & UINT8_C(0xff)); + uint64_t x43 = (x41 >> 8); + uint8_t x44 = (uint8_t)(x41 & UINT8_C(0xff)); + uint64_t x45 = (x43 >> 8); + uint8_t x46 = (uint8_t)(x43 & UINT8_C(0xff)); + uint64_t x47 = (x45 >> 8); + uint8_t x48 = (uint8_t)(x45 & UINT8_C(0xff)); + uint8_t x49 = (uint8_t)(x47 >> 8); + uint8_t x50 = (uint8_t)(x47 & UINT8_C(0xff)); + uint64_t x51 = (x49 + x24); + uint64_t x52 = (x51 >> 8); + uint8_t x53 = (uint8_t)(x51 & UINT8_C(0xff)); + uint64_t x54 = (x52 >> 8); + uint8_t x55 = (uint8_t)(x52 & UINT8_C(0xff)); + uint64_t x56 = (x54 >> 8); + uint8_t x57 = (uint8_t)(x54 & UINT8_C(0xff)); + uint64_t x58 = (x56 >> 8); + uint8_t x59 = (uint8_t)(x56 & UINT8_C(0xff)); + uint64_t x60 = (x58 >> 8); + uint8_t x61 = (uint8_t)(x58 & UINT8_C(0xff)); + uint64_t x62 = (x60 >> 8); + uint8_t x63 = (uint8_t)(x60 & UINT8_C(0xff)); + fiat_25519_uint1 x64 = (fiat_25519_uint1)(x62 >> 8); + uint8_t x65 = (uint8_t)(x62 & UINT8_C(0xff)); + uint64_t x66 = (x64 + x23); + uint64_t x67 = (x66 >> 8); + uint8_t x68 = (uint8_t)(x66 & UINT8_C(0xff)); + uint64_t x69 = (x67 >> 8); + uint8_t x70 = (uint8_t)(x67 & UINT8_C(0xff)); + uint64_t x71 = (x69 >> 8); + uint8_t x72 = (uint8_t)(x69 & UINT8_C(0xff)); + uint64_t x73 = (x71 >> 8); + uint8_t x74 = (uint8_t)(x71 & UINT8_C(0xff)); + uint64_t x75 = (x73 >> 8); + uint8_t x76 = (uint8_t)(x73 & UINT8_C(0xff)); + uint8_t x77 = (uint8_t)(x75 >> 8); + uint8_t x78 = (uint8_t)(x75 & UINT8_C(0xff)); + uint64_t x79 = (x77 + x22); + uint64_t x80 = (x79 >> 8); + uint8_t x81 = (uint8_t)(x79 & UINT8_C(0xff)); + uint64_t x82 = (x80 >> 8); + uint8_t x83 = (uint8_t)(x80 & UINT8_C(0xff)); + uint64_t x84 = (x82 >> 8); + uint8_t x85 = (uint8_t)(x82 & UINT8_C(0xff)); + uint64_t x86 = (x84 >> 8); + uint8_t x87 = (uint8_t)(x84 & UINT8_C(0xff)); + uint64_t x88 = (x86 >> 8); + uint8_t x89 = (uint8_t)(x86 & UINT8_C(0xff)); + uint8_t x90 = (uint8_t)(x88 >> 8); + uint8_t x91 = (uint8_t)(x88 & UINT8_C(0xff)); + out1[0] = x27; + out1[1] = x29; + out1[2] = x31; + out1[3] = x33; + out1[4] = x35; + out1[5] = x37; + out1[6] = x40; + out1[7] = x42; + out1[8] = x44; + out1[9] = x46; + out1[10] = x48; + out1[11] = x50; + out1[12] = x53; + out1[13] = x55; + out1[14] = x57; + out1[15] = x59; + out1[16] = x61; + out1[17] = x63; + out1[18] = x65; + out1[19] = x68; + out1[20] = x70; + out1[21] = x72; + out1[22] = x74; + out1[23] = x76; + out1[24] = x78; + out1[25] = x81; + out1[26] = x83; + out1[27] = x85; + out1[28] = x87; + out1[29] = x89; + out1[30] = x91; + out1[31] = x90; +} +/* + * 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 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc], [0x0 ~> 0x8cccccccccccc]] + */ +static void fiat_25519_from_bytes(uint64_t out1[5], const uint8_t arg1[32]) { + uint64_t x1 = ((uint64_t)(arg1[31]) << 44); + uint64_t x2 = ((uint64_t)(arg1[30]) << 36); + uint64_t x3 = ((uint64_t)(arg1[29]) << 28); + uint64_t x4 = ((uint64_t)(arg1[28]) << 20); + uint64_t x5 = ((uint64_t)(arg1[27]) << 12); + uint64_t x6 = ((uint64_t)(arg1[26]) << 4); + uint64_t x7 = ((uint64_t)(arg1[25]) << 47); + uint64_t x8 = ((uint64_t)(arg1[24]) << 39); + uint64_t x9 = ((uint64_t)(arg1[23]) << 31); + uint64_t x10 = ((uint64_t)(arg1[22]) << 23); + uint64_t x11 = ((uint64_t)(arg1[21]) << 15); + uint64_t x12 = ((uint64_t)(arg1[20]) << 7); + uint64_t x13 = ((uint64_t)(arg1[19]) << 50); + uint64_t x14 = ((uint64_t)(arg1[18]) << 42); + uint64_t x15 = ((uint64_t)(arg1[17]) << 34); + uint64_t x16 = ((uint64_t)(arg1[16]) << 26); + uint64_t x17 = ((uint64_t)(arg1[15]) << 18); + uint64_t x18 = ((uint64_t)(arg1[14]) << 10); + uint64_t x19 = ((uint64_t)(arg1[13]) << 2); + uint64_t x20 = ((uint64_t)(arg1[12]) << 45); + uint64_t x21 = ((uint64_t)(arg1[11]) << 37); + uint64_t x22 = ((uint64_t)(arg1[10]) << 29); + uint64_t x23 = ((uint64_t)(arg1[9]) << 21); + uint64_t x24 = ((uint64_t)(arg1[8]) << 13); + uint64_t x25 = ((uint64_t)(arg1[7]) << 5); + uint64_t x26 = ((uint64_t)(arg1[6]) << 48); + uint64_t x27 = ((uint64_t)(arg1[5]) << 40); + uint64_t x28 = ((uint64_t)(arg1[4]) << 32); + uint64_t x29 = ((uint64_t)(arg1[3]) << 24); + uint64_t x30 = ((uint64_t)(arg1[2]) << 16); + uint64_t x31 = ((uint64_t)(arg1[1]) << 8); + uint8_t x32 = (arg1[0]); + uint64_t x33 = (x32 + (x31 + (x30 + (x29 + (x28 + (x27 + x26)))))); + uint8_t x34 = (uint8_t)(x33 >> 51); + uint64_t x35 = (x33 & UINT64_C(0x7ffffffffffff)); + uint64_t x36 = (x6 + (x5 + (x4 + (x3 + (x2 + x1))))); + uint64_t x37 = (x12 + (x11 + (x10 + (x9 + (x8 + x7))))); + uint64_t x38 = (x19 + (x18 + (x17 + (x16 + (x15 + (x14 + x13)))))); + uint64_t x39 = (x25 + (x24 + (x23 + (x22 + (x21 + x20))))); + uint64_t x40 = (x34 + x39); + uint8_t x41 = (uint8_t)(x40 >> 51); + uint64_t x42 = (x40 & UINT64_C(0x7ffffffffffff)); + uint64_t x43 = (x41 + x38); + uint8_t x44 = (uint8_t)(x43 >> 51); + uint64_t x45 = (x43 & UINT64_C(0x7ffffffffffff)); + uint64_t x46 = (x44 + x37); + uint8_t x47 = (uint8_t)(x46 >> 51); + uint64_t x48 = (x46 & UINT64_C(0x7ffffffffffff)); + uint64_t x49 = (x47 + x36); + out1[0] = x35; + out1[1] = x42; + out1[2] = x45; + out1[3] = x48; + out1[4] = x49; +} -- cgit v1.2.3