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sm2p256_fiat64.go
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sm2p256_fiat64.go
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// Code generated by Fiat Cryptography. DO NOT EDIT.
//
// Autogenerated: word_by_word_montgomery --lang Go --no-wide-int --cmovznz-by-mul --relax-primitive-carry-to-bitwidth 32,64 --internal-static --public-function-case camelCase --public-type-case camelCase --private-function-case camelCase --private-type-case camelCase --doc-text-before-function-name '' --doc-newline-before-package-declaration --doc-prepend-header 'Code generated by Fiat Cryptography. DO NOT EDIT.' --package-name fiat --no-prefix-fiat sm2p256 64 '2^256 - 2^224 - 2^96 + 2^64 - 1' mul square add sub one from_montgomery to_montgomery selectznz to_bytes from_bytes
//
// curve description: sm2p256
//
// machine_wordsize = 64 (from "64")
//
// requested operations: mul, square, add, sub, one, from_montgomery, to_montgomery, selectznz, to_bytes, from_bytes
//
// m = 0xfffffffeffffffffffffffffffffffffffffffff00000000ffffffffffffffff (from "2^256 - 2^224 - 2^96 + 2^64 - 1")
//
//
//
// NOTE: In addition to the bounds specified above each function, all
//
// functions synthesized for this Montgomery arithmetic require the
//
// input to be strictly less than the prime modulus (m), and also
//
// require the input to be in the unique saturated representation.
//
// All functions also ensure that these two properties are true of
//
// return values.
//
//
//
// Computed values:
//
// eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192)
//
// bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248)
//
// twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in
//
// if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256
package fiat
import "math/bits"
type sm2p256Uint1 uint64 // We use uint64 instead of a more narrow type for performance reasons; see https://github.com/mit-plv/fiat-crypto/pull/1006#issuecomment-892625927
type sm2p256Int1 int64 // We use uint64 instead of a more narrow type for performance reasons; see https://github.com/mit-plv/fiat-crypto/pull/1006#issuecomment-892625927
// The type sm2p256MontgomeryDomainFieldElement is a field element in the Montgomery domain.
//
// Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
type sm2p256MontgomeryDomainFieldElement [4]uint64
// The type sm2p256NonMontgomeryDomainFieldElement is a field element NOT in the Montgomery domain.
//
// Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
type sm2p256NonMontgomeryDomainFieldElement [4]uint64
// sm2p256CmovznzU64 is a single-word conditional move.
//
// Postconditions:
// out1 = (if arg1 = 0 then arg2 else arg3)
//
// Input Bounds:
// arg1: [0x0 ~> 0x1]
// arg2: [0x0 ~> 0xffffffffffffffff]
// arg3: [0x0 ~> 0xffffffffffffffff]
// Output Bounds:
// out1: [0x0 ~> 0xffffffffffffffff]
func sm2p256CmovznzU64(out1 *uint64, arg1 sm2p256Uint1, arg2 uint64, arg3 uint64) {
x1 := (uint64(arg1) * 0xffffffffffffffff)
x2 := ((x1 & arg3) | ((^x1) & arg2))
*out1 = x2
}
// sm2p256Mul multiplies two field elements in the Montgomery domain.
//
// Preconditions:
// 0 ≤ eval arg1 < m
// 0 ≤ eval arg2 < m
// Postconditions:
// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
// 0 ≤ eval out1 < m
//
func sm2p256Mul(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement, arg2 *sm2p256MontgomeryDomainFieldElement) {
x1 := arg1[1]
x2 := arg1[2]
x3 := arg1[3]
x4 := arg1[0]
var x5 uint64
var x6 uint64
x6, x5 = bits.Mul64(x4, arg2[3])
var x7 uint64
var x8 uint64
x8, x7 = bits.Mul64(x4, arg2[2])
var x9 uint64
var x10 uint64
x10, x9 = bits.Mul64(x4, arg2[1])
var x11 uint64
var x12 uint64
x12, x11 = bits.Mul64(x4, arg2[0])
var x13 uint64
var x14 uint64
x13, x14 = bits.Add64(x12, x9, uint64(0x0))
var x15 uint64
var x16 uint64
x15, x16 = bits.Add64(x10, x7, uint64(sm2p256Uint1(x14)))
var x17 uint64
var x18 uint64
x17, x18 = bits.Add64(x8, x5, uint64(sm2p256Uint1(x16)))
x19 := (uint64(sm2p256Uint1(x18)) + x6)
var x20 uint64
var x21 uint64
x21, x20 = bits.Mul64(x11, 0xfffffffeffffffff)
var x22 uint64
var x23 uint64
x23, x22 = bits.Mul64(x11, 0xffffffffffffffff)
var x24 uint64
var x25 uint64
x25, x24 = bits.Mul64(x11, 0xffffffff00000000)
var x26 uint64
var x27 uint64
x27, x26 = bits.Mul64(x11, 0xffffffffffffffff)
var x28 uint64
var x29 uint64
x28, x29 = bits.Add64(x27, x24, uint64(0x0))
var x30 uint64
var x31 uint64
x30, x31 = bits.Add64(x25, x22, uint64(sm2p256Uint1(x29)))
var x32 uint64
var x33 uint64
x32, x33 = bits.Add64(x23, x20, uint64(sm2p256Uint1(x31)))
x34 := (uint64(sm2p256Uint1(x33)) + x21)
var x36 uint64
_, x36 = bits.Add64(x11, x26, uint64(0x0))
var x37 uint64
var x38 uint64
x37, x38 = bits.Add64(x13, x28, uint64(sm2p256Uint1(x36)))
var x39 uint64
var x40 uint64
x39, x40 = bits.Add64(x15, x30, uint64(sm2p256Uint1(x38)))
var x41 uint64
var x42 uint64
x41, x42 = bits.Add64(x17, x32, uint64(sm2p256Uint1(x40)))
var x43 uint64
var x44 uint64
x43, x44 = bits.Add64(x19, x34, uint64(sm2p256Uint1(x42)))
var x45 uint64
var x46 uint64
x46, x45 = bits.Mul64(x1, arg2[3])
var x47 uint64
var x48 uint64
x48, x47 = bits.Mul64(x1, arg2[2])
var x49 uint64
var x50 uint64
x50, x49 = bits.Mul64(x1, arg2[1])
var x51 uint64
var x52 uint64
x52, x51 = bits.Mul64(x1, arg2[0])
var x53 uint64
var x54 uint64
x53, x54 = bits.Add64(x52, x49, uint64(0x0))
var x55 uint64
var x56 uint64
x55, x56 = bits.Add64(x50, x47, uint64(sm2p256Uint1(x54)))
var x57 uint64
var x58 uint64
x57, x58 = bits.Add64(x48, x45, uint64(sm2p256Uint1(x56)))
x59 := (uint64(sm2p256Uint1(x58)) + x46)
var x60 uint64
var x61 uint64
x60, x61 = bits.Add64(x37, x51, uint64(0x0))
var x62 uint64
var x63 uint64
x62, x63 = bits.Add64(x39, x53, uint64(sm2p256Uint1(x61)))
var x64 uint64
var x65 uint64
x64, x65 = bits.Add64(x41, x55, uint64(sm2p256Uint1(x63)))
var x66 uint64
var x67 uint64
x66, x67 = bits.Add64(x43, x57, uint64(sm2p256Uint1(x65)))
var x68 uint64
var x69 uint64
x68, x69 = bits.Add64(uint64(sm2p256Uint1(x44)), x59, uint64(sm2p256Uint1(x67)))
var x70 uint64
var x71 uint64
x71, x70 = bits.Mul64(x60, 0xfffffffeffffffff)
var x72 uint64
var x73 uint64
x73, x72 = bits.Mul64(x60, 0xffffffffffffffff)
var x74 uint64
var x75 uint64
x75, x74 = bits.Mul64(x60, 0xffffffff00000000)
var x76 uint64
var x77 uint64
x77, x76 = bits.Mul64(x60, 0xffffffffffffffff)
var x78 uint64
var x79 uint64
x78, x79 = bits.Add64(x77, x74, uint64(0x0))
var x80 uint64
var x81 uint64
x80, x81 = bits.Add64(x75, x72, uint64(sm2p256Uint1(x79)))
var x82 uint64
var x83 uint64
x82, x83 = bits.Add64(x73, x70, uint64(sm2p256Uint1(x81)))
x84 := (uint64(sm2p256Uint1(x83)) + x71)
var x86 uint64
_, x86 = bits.Add64(x60, x76, uint64(0x0))
var x87 uint64
var x88 uint64
x87, x88 = bits.Add64(x62, x78, uint64(sm2p256Uint1(x86)))
var x89 uint64
var x90 uint64
x89, x90 = bits.Add64(x64, x80, uint64(sm2p256Uint1(x88)))
var x91 uint64
var x92 uint64
x91, x92 = bits.Add64(x66, x82, uint64(sm2p256Uint1(x90)))
var x93 uint64
var x94 uint64
x93, x94 = bits.Add64(x68, x84, uint64(sm2p256Uint1(x92)))
x95 := (uint64(sm2p256Uint1(x94)) + uint64(sm2p256Uint1(x69)))
var x96 uint64
var x97 uint64
x97, x96 = bits.Mul64(x2, arg2[3])
var x98 uint64
var x99 uint64
x99, x98 = bits.Mul64(x2, arg2[2])
var x100 uint64
var x101 uint64
x101, x100 = bits.Mul64(x2, arg2[1])
var x102 uint64
var x103 uint64
x103, x102 = bits.Mul64(x2, arg2[0])
var x104 uint64
var x105 uint64
x104, x105 = bits.Add64(x103, x100, uint64(0x0))
var x106 uint64
var x107 uint64
x106, x107 = bits.Add64(x101, x98, uint64(sm2p256Uint1(x105)))
var x108 uint64
var x109 uint64
x108, x109 = bits.Add64(x99, x96, uint64(sm2p256Uint1(x107)))
x110 := (uint64(sm2p256Uint1(x109)) + x97)
var x111 uint64
var x112 uint64
x111, x112 = bits.Add64(x87, x102, uint64(0x0))
var x113 uint64
var x114 uint64
x113, x114 = bits.Add64(x89, x104, uint64(sm2p256Uint1(x112)))
var x115 uint64
var x116 uint64
x115, x116 = bits.Add64(x91, x106, uint64(sm2p256Uint1(x114)))
var x117 uint64
var x118 uint64
x117, x118 = bits.Add64(x93, x108, uint64(sm2p256Uint1(x116)))
var x119 uint64
var x120 uint64
x119, x120 = bits.Add64(x95, x110, uint64(sm2p256Uint1(x118)))
var x121 uint64
var x122 uint64
x122, x121 = bits.Mul64(x111, 0xfffffffeffffffff)
var x123 uint64
var x124 uint64
x124, x123 = bits.Mul64(x111, 0xffffffffffffffff)
var x125 uint64
var x126 uint64
x126, x125 = bits.Mul64(x111, 0xffffffff00000000)
var x127 uint64
var x128 uint64
x128, x127 = bits.Mul64(x111, 0xffffffffffffffff)
var x129 uint64
var x130 uint64
x129, x130 = bits.Add64(x128, x125, uint64(0x0))
var x131 uint64
var x132 uint64
x131, x132 = bits.Add64(x126, x123, uint64(sm2p256Uint1(x130)))
var x133 uint64
var x134 uint64
x133, x134 = bits.Add64(x124, x121, uint64(sm2p256Uint1(x132)))
x135 := (uint64(sm2p256Uint1(x134)) + x122)
var x137 uint64
_, x137 = bits.Add64(x111, x127, uint64(0x0))
var x138 uint64
var x139 uint64
x138, x139 = bits.Add64(x113, x129, uint64(sm2p256Uint1(x137)))
var x140 uint64
var x141 uint64
x140, x141 = bits.Add64(x115, x131, uint64(sm2p256Uint1(x139)))
var x142 uint64
var x143 uint64
x142, x143 = bits.Add64(x117, x133, uint64(sm2p256Uint1(x141)))
var x144 uint64
var x145 uint64
x144, x145 = bits.Add64(x119, x135, uint64(sm2p256Uint1(x143)))
x146 := (uint64(sm2p256Uint1(x145)) + uint64(sm2p256Uint1(x120)))
var x147 uint64
var x148 uint64
x148, x147 = bits.Mul64(x3, arg2[3])
var x149 uint64
var x150 uint64
x150, x149 = bits.Mul64(x3, arg2[2])
var x151 uint64
var x152 uint64
x152, x151 = bits.Mul64(x3, arg2[1])
var x153 uint64
var x154 uint64
x154, x153 = bits.Mul64(x3, arg2[0])
var x155 uint64
var x156 uint64
x155, x156 = bits.Add64(x154, x151, uint64(0x0))
var x157 uint64
var x158 uint64
x157, x158 = bits.Add64(x152, x149, uint64(sm2p256Uint1(x156)))
var x159 uint64
var x160 uint64
x159, x160 = bits.Add64(x150, x147, uint64(sm2p256Uint1(x158)))
x161 := (uint64(sm2p256Uint1(x160)) + x148)
var x162 uint64
var x163 uint64
x162, x163 = bits.Add64(x138, x153, uint64(0x0))
var x164 uint64
var x165 uint64
x164, x165 = bits.Add64(x140, x155, uint64(sm2p256Uint1(x163)))
var x166 uint64
var x167 uint64
x166, x167 = bits.Add64(x142, x157, uint64(sm2p256Uint1(x165)))
var x168 uint64
var x169 uint64
x168, x169 = bits.Add64(x144, x159, uint64(sm2p256Uint1(x167)))
var x170 uint64
var x171 uint64
x170, x171 = bits.Add64(x146, x161, uint64(sm2p256Uint1(x169)))
var x172 uint64
var x173 uint64
x173, x172 = bits.Mul64(x162, 0xfffffffeffffffff)
var x174 uint64
var x175 uint64
x175, x174 = bits.Mul64(x162, 0xffffffffffffffff)
var x176 uint64
var x177 uint64
x177, x176 = bits.Mul64(x162, 0xffffffff00000000)
var x178 uint64
var x179 uint64
x179, x178 = bits.Mul64(x162, 0xffffffffffffffff)
var x180 uint64
var x181 uint64
x180, x181 = bits.Add64(x179, x176, uint64(0x0))
var x182 uint64
var x183 uint64
x182, x183 = bits.Add64(x177, x174, uint64(sm2p256Uint1(x181)))
var x184 uint64
var x185 uint64
x184, x185 = bits.Add64(x175, x172, uint64(sm2p256Uint1(x183)))
x186 := (uint64(sm2p256Uint1(x185)) + x173)
var x188 uint64
_, x188 = bits.Add64(x162, x178, uint64(0x0))
var x189 uint64
var x190 uint64
x189, x190 = bits.Add64(x164, x180, uint64(sm2p256Uint1(x188)))
var x191 uint64
var x192 uint64
x191, x192 = bits.Add64(x166, x182, uint64(sm2p256Uint1(x190)))
var x193 uint64
var x194 uint64
x193, x194 = bits.Add64(x168, x184, uint64(sm2p256Uint1(x192)))
var x195 uint64
var x196 uint64
x195, x196 = bits.Add64(x170, x186, uint64(sm2p256Uint1(x194)))
x197 := (uint64(sm2p256Uint1(x196)) + uint64(sm2p256Uint1(x171)))
var x198 uint64
var x199 uint64
x198, x199 = bits.Sub64(x189, 0xffffffffffffffff, uint64(0x0))
var x200 uint64
var x201 uint64
x200, x201 = bits.Sub64(x191, 0xffffffff00000000, uint64(sm2p256Uint1(x199)))
var x202 uint64
var x203 uint64
x202, x203 = bits.Sub64(x193, 0xffffffffffffffff, uint64(sm2p256Uint1(x201)))
var x204 uint64
var x205 uint64
x204, x205 = bits.Sub64(x195, 0xfffffffeffffffff, uint64(sm2p256Uint1(x203)))
var x207 uint64
_, x207 = bits.Sub64(x197, uint64(0x0), uint64(sm2p256Uint1(x205)))
var x208 uint64
sm2p256CmovznzU64(&x208, sm2p256Uint1(x207), x198, x189)
var x209 uint64
sm2p256CmovznzU64(&x209, sm2p256Uint1(x207), x200, x191)
var x210 uint64
sm2p256CmovznzU64(&x210, sm2p256Uint1(x207), x202, x193)
var x211 uint64
sm2p256CmovznzU64(&x211, sm2p256Uint1(x207), x204, x195)
out1[0] = x208
out1[1] = x209
out1[2] = x210
out1[3] = x211
}
// sm2p256Square squares a field element in the Montgomery domain.
//
// Preconditions:
// 0 ≤ eval arg1 < m
// Postconditions:
// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
// 0 ≤ eval out1 < m
//
func sm2p256Square(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement) {
x1 := arg1[1]
x2 := arg1[2]
x3 := arg1[3]
x4 := arg1[0]
var x5 uint64
var x6 uint64
x6, x5 = bits.Mul64(x4, arg1[3])
var x7 uint64
var x8 uint64
x8, x7 = bits.Mul64(x4, arg1[2])
var x9 uint64
var x10 uint64
x10, x9 = bits.Mul64(x4, arg1[1])
var x11 uint64
var x12 uint64
x12, x11 = bits.Mul64(x4, arg1[0])
var x13 uint64
var x14 uint64
x13, x14 = bits.Add64(x12, x9, uint64(0x0))
var x15 uint64
var x16 uint64
x15, x16 = bits.Add64(x10, x7, uint64(sm2p256Uint1(x14)))
var x17 uint64
var x18 uint64
x17, x18 = bits.Add64(x8, x5, uint64(sm2p256Uint1(x16)))
x19 := (uint64(sm2p256Uint1(x18)) + x6)
var x20 uint64
var x21 uint64
x21, x20 = bits.Mul64(x11, 0xfffffffeffffffff)
var x22 uint64
var x23 uint64
x23, x22 = bits.Mul64(x11, 0xffffffffffffffff)
var x24 uint64
var x25 uint64
x25, x24 = bits.Mul64(x11, 0xffffffff00000000)
var x26 uint64
var x27 uint64
x27, x26 = bits.Mul64(x11, 0xffffffffffffffff)
var x28 uint64
var x29 uint64
x28, x29 = bits.Add64(x27, x24, uint64(0x0))
var x30 uint64
var x31 uint64
x30, x31 = bits.Add64(x25, x22, uint64(sm2p256Uint1(x29)))
var x32 uint64
var x33 uint64
x32, x33 = bits.Add64(x23, x20, uint64(sm2p256Uint1(x31)))
x34 := (uint64(sm2p256Uint1(x33)) + x21)
var x36 uint64
_, x36 = bits.Add64(x11, x26, uint64(0x0))
var x37 uint64
var x38 uint64
x37, x38 = bits.Add64(x13, x28, uint64(sm2p256Uint1(x36)))
var x39 uint64
var x40 uint64
x39, x40 = bits.Add64(x15, x30, uint64(sm2p256Uint1(x38)))
var x41 uint64
var x42 uint64
x41, x42 = bits.Add64(x17, x32, uint64(sm2p256Uint1(x40)))
var x43 uint64
var x44 uint64
x43, x44 = bits.Add64(x19, x34, uint64(sm2p256Uint1(x42)))
var x45 uint64
var x46 uint64
x46, x45 = bits.Mul64(x1, arg1[3])
var x47 uint64
var x48 uint64
x48, x47 = bits.Mul64(x1, arg1[2])
var x49 uint64
var x50 uint64
x50, x49 = bits.Mul64(x1, arg1[1])
var x51 uint64
var x52 uint64
x52, x51 = bits.Mul64(x1, arg1[0])
var x53 uint64
var x54 uint64
x53, x54 = bits.Add64(x52, x49, uint64(0x0))
var x55 uint64
var x56 uint64
x55, x56 = bits.Add64(x50, x47, uint64(sm2p256Uint1(x54)))
var x57 uint64
var x58 uint64
x57, x58 = bits.Add64(x48, x45, uint64(sm2p256Uint1(x56)))
x59 := (uint64(sm2p256Uint1(x58)) + x46)
var x60 uint64
var x61 uint64
x60, x61 = bits.Add64(x37, x51, uint64(0x0))
var x62 uint64
var x63 uint64
x62, x63 = bits.Add64(x39, x53, uint64(sm2p256Uint1(x61)))
var x64 uint64
var x65 uint64
x64, x65 = bits.Add64(x41, x55, uint64(sm2p256Uint1(x63)))
var x66 uint64
var x67 uint64
x66, x67 = bits.Add64(x43, x57, uint64(sm2p256Uint1(x65)))
var x68 uint64
var x69 uint64
x68, x69 = bits.Add64(uint64(sm2p256Uint1(x44)), x59, uint64(sm2p256Uint1(x67)))
var x70 uint64
var x71 uint64
x71, x70 = bits.Mul64(x60, 0xfffffffeffffffff)
var x72 uint64
var x73 uint64
x73, x72 = bits.Mul64(x60, 0xffffffffffffffff)
var x74 uint64
var x75 uint64
x75, x74 = bits.Mul64(x60, 0xffffffff00000000)
var x76 uint64
var x77 uint64
x77, x76 = bits.Mul64(x60, 0xffffffffffffffff)
var x78 uint64
var x79 uint64
x78, x79 = bits.Add64(x77, x74, uint64(0x0))
var x80 uint64
var x81 uint64
x80, x81 = bits.Add64(x75, x72, uint64(sm2p256Uint1(x79)))
var x82 uint64
var x83 uint64
x82, x83 = bits.Add64(x73, x70, uint64(sm2p256Uint1(x81)))
x84 := (uint64(sm2p256Uint1(x83)) + x71)
var x86 uint64
_, x86 = bits.Add64(x60, x76, uint64(0x0))
var x87 uint64
var x88 uint64
x87, x88 = bits.Add64(x62, x78, uint64(sm2p256Uint1(x86)))
var x89 uint64
var x90 uint64
x89, x90 = bits.Add64(x64, x80, uint64(sm2p256Uint1(x88)))
var x91 uint64
var x92 uint64
x91, x92 = bits.Add64(x66, x82, uint64(sm2p256Uint1(x90)))
var x93 uint64
var x94 uint64
x93, x94 = bits.Add64(x68, x84, uint64(sm2p256Uint1(x92)))
x95 := (uint64(sm2p256Uint1(x94)) + uint64(sm2p256Uint1(x69)))
var x96 uint64
var x97 uint64
x97, x96 = bits.Mul64(x2, arg1[3])
var x98 uint64
var x99 uint64
x99, x98 = bits.Mul64(x2, arg1[2])
var x100 uint64
var x101 uint64
x101, x100 = bits.Mul64(x2, arg1[1])
var x102 uint64
var x103 uint64
x103, x102 = bits.Mul64(x2, arg1[0])
var x104 uint64
var x105 uint64
x104, x105 = bits.Add64(x103, x100, uint64(0x0))
var x106 uint64
var x107 uint64
x106, x107 = bits.Add64(x101, x98, uint64(sm2p256Uint1(x105)))
var x108 uint64
var x109 uint64
x108, x109 = bits.Add64(x99, x96, uint64(sm2p256Uint1(x107)))
x110 := (uint64(sm2p256Uint1(x109)) + x97)
var x111 uint64
var x112 uint64
x111, x112 = bits.Add64(x87, x102, uint64(0x0))
var x113 uint64
var x114 uint64
x113, x114 = bits.Add64(x89, x104, uint64(sm2p256Uint1(x112)))
var x115 uint64
var x116 uint64
x115, x116 = bits.Add64(x91, x106, uint64(sm2p256Uint1(x114)))
var x117 uint64
var x118 uint64
x117, x118 = bits.Add64(x93, x108, uint64(sm2p256Uint1(x116)))
var x119 uint64
var x120 uint64
x119, x120 = bits.Add64(x95, x110, uint64(sm2p256Uint1(x118)))
var x121 uint64
var x122 uint64
x122, x121 = bits.Mul64(x111, 0xfffffffeffffffff)
var x123 uint64
var x124 uint64
x124, x123 = bits.Mul64(x111, 0xffffffffffffffff)
var x125 uint64
var x126 uint64
x126, x125 = bits.Mul64(x111, 0xffffffff00000000)
var x127 uint64
var x128 uint64
x128, x127 = bits.Mul64(x111, 0xffffffffffffffff)
var x129 uint64
var x130 uint64
x129, x130 = bits.Add64(x128, x125, uint64(0x0))
var x131 uint64
var x132 uint64
x131, x132 = bits.Add64(x126, x123, uint64(sm2p256Uint1(x130)))
var x133 uint64
var x134 uint64
x133, x134 = bits.Add64(x124, x121, uint64(sm2p256Uint1(x132)))
x135 := (uint64(sm2p256Uint1(x134)) + x122)
var x137 uint64
_, x137 = bits.Add64(x111, x127, uint64(0x0))
var x138 uint64
var x139 uint64
x138, x139 = bits.Add64(x113, x129, uint64(sm2p256Uint1(x137)))
var x140 uint64
var x141 uint64
x140, x141 = bits.Add64(x115, x131, uint64(sm2p256Uint1(x139)))
var x142 uint64
var x143 uint64
x142, x143 = bits.Add64(x117, x133, uint64(sm2p256Uint1(x141)))
var x144 uint64
var x145 uint64
x144, x145 = bits.Add64(x119, x135, uint64(sm2p256Uint1(x143)))
x146 := (uint64(sm2p256Uint1(x145)) + uint64(sm2p256Uint1(x120)))
var x147 uint64
var x148 uint64
x148, x147 = bits.Mul64(x3, arg1[3])
var x149 uint64
var x150 uint64
x150, x149 = bits.Mul64(x3, arg1[2])
var x151 uint64
var x152 uint64
x152, x151 = bits.Mul64(x3, arg1[1])
var x153 uint64
var x154 uint64
x154, x153 = bits.Mul64(x3, arg1[0])
var x155 uint64
var x156 uint64
x155, x156 = bits.Add64(x154, x151, uint64(0x0))
var x157 uint64
var x158 uint64
x157, x158 = bits.Add64(x152, x149, uint64(sm2p256Uint1(x156)))
var x159 uint64
var x160 uint64
x159, x160 = bits.Add64(x150, x147, uint64(sm2p256Uint1(x158)))
x161 := (uint64(sm2p256Uint1(x160)) + x148)
var x162 uint64
var x163 uint64
x162, x163 = bits.Add64(x138, x153, uint64(0x0))
var x164 uint64
var x165 uint64
x164, x165 = bits.Add64(x140, x155, uint64(sm2p256Uint1(x163)))
var x166 uint64
var x167 uint64
x166, x167 = bits.Add64(x142, x157, uint64(sm2p256Uint1(x165)))
var x168 uint64
var x169 uint64
x168, x169 = bits.Add64(x144, x159, uint64(sm2p256Uint1(x167)))
var x170 uint64
var x171 uint64
x170, x171 = bits.Add64(x146, x161, uint64(sm2p256Uint1(x169)))
var x172 uint64
var x173 uint64
x173, x172 = bits.Mul64(x162, 0xfffffffeffffffff)
var x174 uint64
var x175 uint64
x175, x174 = bits.Mul64(x162, 0xffffffffffffffff)
var x176 uint64
var x177 uint64
x177, x176 = bits.Mul64(x162, 0xffffffff00000000)
var x178 uint64
var x179 uint64
x179, x178 = bits.Mul64(x162, 0xffffffffffffffff)
var x180 uint64
var x181 uint64
x180, x181 = bits.Add64(x179, x176, uint64(0x0))
var x182 uint64
var x183 uint64
x182, x183 = bits.Add64(x177, x174, uint64(sm2p256Uint1(x181)))
var x184 uint64
var x185 uint64
x184, x185 = bits.Add64(x175, x172, uint64(sm2p256Uint1(x183)))
x186 := (uint64(sm2p256Uint1(x185)) + x173)
var x188 uint64
_, x188 = bits.Add64(x162, x178, uint64(0x0))
var x189 uint64
var x190 uint64
x189, x190 = bits.Add64(x164, x180, uint64(sm2p256Uint1(x188)))
var x191 uint64
var x192 uint64
x191, x192 = bits.Add64(x166, x182, uint64(sm2p256Uint1(x190)))
var x193 uint64
var x194 uint64
x193, x194 = bits.Add64(x168, x184, uint64(sm2p256Uint1(x192)))
var x195 uint64
var x196 uint64
x195, x196 = bits.Add64(x170, x186, uint64(sm2p256Uint1(x194)))
x197 := (uint64(sm2p256Uint1(x196)) + uint64(sm2p256Uint1(x171)))
var x198 uint64
var x199 uint64
x198, x199 = bits.Sub64(x189, 0xffffffffffffffff, uint64(0x0))
var x200 uint64
var x201 uint64
x200, x201 = bits.Sub64(x191, 0xffffffff00000000, uint64(sm2p256Uint1(x199)))
var x202 uint64
var x203 uint64
x202, x203 = bits.Sub64(x193, 0xffffffffffffffff, uint64(sm2p256Uint1(x201)))
var x204 uint64
var x205 uint64
x204, x205 = bits.Sub64(x195, 0xfffffffeffffffff, uint64(sm2p256Uint1(x203)))
var x207 uint64
_, x207 = bits.Sub64(x197, uint64(0x0), uint64(sm2p256Uint1(x205)))
var x208 uint64
sm2p256CmovznzU64(&x208, sm2p256Uint1(x207), x198, x189)
var x209 uint64
sm2p256CmovznzU64(&x209, sm2p256Uint1(x207), x200, x191)
var x210 uint64
sm2p256CmovznzU64(&x210, sm2p256Uint1(x207), x202, x193)
var x211 uint64
sm2p256CmovznzU64(&x211, sm2p256Uint1(x207), x204, x195)
out1[0] = x208
out1[1] = x209
out1[2] = x210
out1[3] = x211
}
// sm2p256Add adds two field elements in the Montgomery domain.
//
// Preconditions:
// 0 ≤ eval arg1 < m
// 0 ≤ eval arg2 < m
// Postconditions:
// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
// 0 ≤ eval out1 < m
//
func sm2p256Add(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement, arg2 *sm2p256MontgomeryDomainFieldElement) {
var x1 uint64
var x2 uint64
x1, x2 = bits.Add64(arg1[0], arg2[0], uint64(0x0))
var x3 uint64
var x4 uint64
x3, x4 = bits.Add64(arg1[1], arg2[1], uint64(sm2p256Uint1(x2)))
var x5 uint64
var x6 uint64
x5, x6 = bits.Add64(arg1[2], arg2[2], uint64(sm2p256Uint1(x4)))
var x7 uint64
var x8 uint64
x7, x8 = bits.Add64(arg1[3], arg2[3], uint64(sm2p256Uint1(x6)))
var x9 uint64
var x10 uint64
x9, x10 = bits.Sub64(x1, 0xffffffffffffffff, uint64(0x0))
var x11 uint64
var x12 uint64
x11, x12 = bits.Sub64(x3, 0xffffffff00000000, uint64(sm2p256Uint1(x10)))
var x13 uint64
var x14 uint64
x13, x14 = bits.Sub64(x5, 0xffffffffffffffff, uint64(sm2p256Uint1(x12)))
var x15 uint64
var x16 uint64
x15, x16 = bits.Sub64(x7, 0xfffffffeffffffff, uint64(sm2p256Uint1(x14)))
var x18 uint64
_, x18 = bits.Sub64(uint64(sm2p256Uint1(x8)), uint64(0x0), uint64(sm2p256Uint1(x16)))
var x19 uint64
sm2p256CmovznzU64(&x19, sm2p256Uint1(x18), x9, x1)
var x20 uint64
sm2p256CmovznzU64(&x20, sm2p256Uint1(x18), x11, x3)
var x21 uint64
sm2p256CmovznzU64(&x21, sm2p256Uint1(x18), x13, x5)
var x22 uint64
sm2p256CmovznzU64(&x22, sm2p256Uint1(x18), x15, x7)
out1[0] = x19
out1[1] = x20
out1[2] = x21
out1[3] = x22
}
// sm2p256Sub subtracts two field elements in the Montgomery domain.
//
// Preconditions:
// 0 ≤ eval arg1 < m
// 0 ≤ eval arg2 < m
// Postconditions:
// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
// 0 ≤ eval out1 < m
//
func sm2p256Sub(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement, arg2 *sm2p256MontgomeryDomainFieldElement) {
var x1 uint64
var x2 uint64
x1, x2 = bits.Sub64(arg1[0], arg2[0], uint64(0x0))
var x3 uint64
var x4 uint64
x3, x4 = bits.Sub64(arg1[1], arg2[1], uint64(sm2p256Uint1(x2)))
var x5 uint64
var x6 uint64
x5, x6 = bits.Sub64(arg1[2], arg2[2], uint64(sm2p256Uint1(x4)))
var x7 uint64
var x8 uint64
x7, x8 = bits.Sub64(arg1[3], arg2[3], uint64(sm2p256Uint1(x6)))
var x9 uint64
sm2p256CmovznzU64(&x9, sm2p256Uint1(x8), uint64(0x0), 0xffffffffffffffff)
var x10 uint64
var x11 uint64
x10, x11 = bits.Add64(x1, x9, uint64(0x0))
var x12 uint64
var x13 uint64
x12, x13 = bits.Add64(x3, (x9 & 0xffffffff00000000), uint64(sm2p256Uint1(x11)))
var x14 uint64
var x15 uint64
x14, x15 = bits.Add64(x5, x9, uint64(sm2p256Uint1(x13)))
var x16 uint64
x16, _ = bits.Add64(x7, (x9 & 0xfffffffeffffffff), uint64(sm2p256Uint1(x15)))
out1[0] = x10
out1[1] = x12
out1[2] = x14
out1[3] = x16
}
// sm2p256SetOne returns the field element one in the Montgomery domain.
//
// Postconditions:
// eval (from_montgomery out1) mod m = 1 mod m
// 0 ≤ eval out1 < m
//
func sm2p256SetOne(out1 *sm2p256MontgomeryDomainFieldElement) {
out1[0] = uint64(0x1)
out1[1] = 0xffffffff
out1[2] = uint64(0x0)
out1[3] = 0x100000000
}
// sm2p256FromMontgomery translates a field element out of the Montgomery domain.
//
// Preconditions:
// 0 ≤ eval arg1 < m
// Postconditions:
// eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
// 0 ≤ eval out1 < m
//
func sm2p256FromMontgomery(out1 *sm2p256NonMontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement) {
x1 := arg1[0]
var x2 uint64
var x3 uint64
x3, x2 = bits.Mul64(x1, 0xfffffffeffffffff)
var x4 uint64
var x5 uint64
x5, x4 = bits.Mul64(x1, 0xffffffffffffffff)
var x6 uint64
var x7 uint64
x7, x6 = bits.Mul64(x1, 0xffffffff00000000)
var x8 uint64
var x9 uint64
x9, x8 = bits.Mul64(x1, 0xffffffffffffffff)
var x10 uint64
var x11 uint64
x10, x11 = bits.Add64(x9, x6, uint64(0x0))
var x12 uint64
var x13 uint64
x12, x13 = bits.Add64(x7, x4, uint64(sm2p256Uint1(x11)))
var x14 uint64
var x15 uint64
x14, x15 = bits.Add64(x5, x2, uint64(sm2p256Uint1(x13)))
var x17 uint64
_, x17 = bits.Add64(x1, x8, uint64(0x0))
var x18 uint64
var x19 uint64
x18, x19 = bits.Add64(uint64(0x0), x10, uint64(sm2p256Uint1(x17)))
var x20 uint64
var x21 uint64
x20, x21 = bits.Add64(uint64(0x0), x12, uint64(sm2p256Uint1(x19)))
var x22 uint64
var x23 uint64
x22, x23 = bits.Add64(uint64(0x0), x14, uint64(sm2p256Uint1(x21)))
var x24 uint64
var x25 uint64
x24, x25 = bits.Add64(x18, arg1[1], uint64(0x0))
var x26 uint64
var x27 uint64
x26, x27 = bits.Add64(x20, uint64(0x0), uint64(sm2p256Uint1(x25)))
var x28 uint64
var x29 uint64
x28, x29 = bits.Add64(x22, uint64(0x0), uint64(sm2p256Uint1(x27)))
var x30 uint64
var x31 uint64
x31, x30 = bits.Mul64(x24, 0xfffffffeffffffff)
var x32 uint64
var x33 uint64
x33, x32 = bits.Mul64(x24, 0xffffffffffffffff)
var x34 uint64
var x35 uint64
x35, x34 = bits.Mul64(x24, 0xffffffff00000000)
var x36 uint64
var x37 uint64
x37, x36 = bits.Mul64(x24, 0xffffffffffffffff)
var x38 uint64
var x39 uint64
x38, x39 = bits.Add64(x37, x34, uint64(0x0))
var x40 uint64
var x41 uint64
x40, x41 = bits.Add64(x35, x32, uint64(sm2p256Uint1(x39)))
var x42 uint64
var x43 uint64
x42, x43 = bits.Add64(x33, x30, uint64(sm2p256Uint1(x41)))
var x45 uint64
_, x45 = bits.Add64(x24, x36, uint64(0x0))
var x46 uint64
var x47 uint64
x46, x47 = bits.Add64(x26, x38, uint64(sm2p256Uint1(x45)))
var x48 uint64
var x49 uint64
x48, x49 = bits.Add64(x28, x40, uint64(sm2p256Uint1(x47)))
var x50 uint64
var x51 uint64
x50, x51 = bits.Add64((uint64(sm2p256Uint1(x29)) + (uint64(sm2p256Uint1(x23)) + (uint64(sm2p256Uint1(x15)) + x3))), x42, uint64(sm2p256Uint1(x49)))
var x52 uint64
var x53 uint64
x52, x53 = bits.Add64(x46, arg1[2], uint64(0x0))
var x54 uint64
var x55 uint64
x54, x55 = bits.Add64(x48, uint64(0x0), uint64(sm2p256Uint1(x53)))
var x56 uint64
var x57 uint64
x56, x57 = bits.Add64(x50, uint64(0x0), uint64(sm2p256Uint1(x55)))
var x58 uint64
var x59 uint64
x59, x58 = bits.Mul64(x52, 0xfffffffeffffffff)
var x60 uint64
var x61 uint64
x61, x60 = bits.Mul64(x52, 0xffffffffffffffff)
var x62 uint64
var x63 uint64
x63, x62 = bits.Mul64(x52, 0xffffffff00000000)
var x64 uint64
var x65 uint64
x65, x64 = bits.Mul64(x52, 0xffffffffffffffff)
var x66 uint64
var x67 uint64
x66, x67 = bits.Add64(x65, x62, uint64(0x0))
var x68 uint64
var x69 uint64
x68, x69 = bits.Add64(x63, x60, uint64(sm2p256Uint1(x67)))
var x70 uint64
var x71 uint64
x70, x71 = bits.Add64(x61, x58, uint64(sm2p256Uint1(x69)))
var x73 uint64
_, x73 = bits.Add64(x52, x64, uint64(0x0))
var x74 uint64
var x75 uint64
x74, x75 = bits.Add64(x54, x66, uint64(sm2p256Uint1(x73)))
var x76 uint64
var x77 uint64
x76, x77 = bits.Add64(x56, x68, uint64(sm2p256Uint1(x75)))
var x78 uint64
var x79 uint64
x78, x79 = bits.Add64((uint64(sm2p256Uint1(x57)) + (uint64(sm2p256Uint1(x51)) + (uint64(sm2p256Uint1(x43)) + x31))), x70, uint64(sm2p256Uint1(x77)))
var x80 uint64
var x81 uint64
x80, x81 = bits.Add64(x74, arg1[3], uint64(0x0))
var x82 uint64
var x83 uint64
x82, x83 = bits.Add64(x76, uint64(0x0), uint64(sm2p256Uint1(x81)))
var x84 uint64
var x85 uint64
x84, x85 = bits.Add64(x78, uint64(0x0), uint64(sm2p256Uint1(x83)))
var x86 uint64
var x87 uint64
x87, x86 = bits.Mul64(x80, 0xfffffffeffffffff)
var x88 uint64
var x89 uint64
x89, x88 = bits.Mul64(x80, 0xffffffffffffffff)
var x90 uint64
var x91 uint64
x91, x90 = bits.Mul64(x80, 0xffffffff00000000)
var x92 uint64
var x93 uint64
x93, x92 = bits.Mul64(x80, 0xffffffffffffffff)
var x94 uint64
var x95 uint64
x94, x95 = bits.Add64(x93, x90, uint64(0x0))
var x96 uint64
var x97 uint64
x96, x97 = bits.Add64(x91, x88, uint64(sm2p256Uint1(x95)))
var x98 uint64
var x99 uint64
x98, x99 = bits.Add64(x89, x86, uint64(sm2p256Uint1(x97)))
var x101 uint64
_, x101 = bits.Add64(x80, x92, uint64(0x0))
var x102 uint64
var x103 uint64
x102, x103 = bits.Add64(x82, x94, uint64(sm2p256Uint1(x101)))
var x104 uint64
var x105 uint64
x104, x105 = bits.Add64(x84, x96, uint64(sm2p256Uint1(x103)))
var x106 uint64
var x107 uint64
x106, x107 = bits.Add64((uint64(sm2p256Uint1(x85)) + (uint64(sm2p256Uint1(x79)) + (uint64(sm2p256Uint1(x71)) + x59))), x98, uint64(sm2p256Uint1(x105)))
x108 := (uint64(sm2p256Uint1(x107)) + (uint64(sm2p256Uint1(x99)) + x87))
var x109 uint64
var x110 uint64
x109, x110 = bits.Sub64(x102, 0xffffffffffffffff, uint64(0x0))
var x111 uint64
var x112 uint64
x111, x112 = bits.Sub64(x104, 0xffffffff00000000, uint64(sm2p256Uint1(x110)))
var x113 uint64
var x114 uint64
x113, x114 = bits.Sub64(x106, 0xffffffffffffffff, uint64(sm2p256Uint1(x112)))
var x115 uint64
var x116 uint64
x115, x116 = bits.Sub64(x108, 0xfffffffeffffffff, uint64(sm2p256Uint1(x114)))
var x118 uint64
_, x118 = bits.Sub64(uint64(0x0), uint64(0x0), uint64(sm2p256Uint1(x116)))
var x119 uint64