1401 lines
41 KiB
Go
1401 lines
41 KiB
Go
// Code generated by Fiat Cryptography. DO NOT EDIT.
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//
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// 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 p256 64 '2^256 - 2^224 + 2^192 + 2^96 - 1' mul square add sub one from_montgomery to_montgomery selectznz to_bytes from_bytes
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//
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// curve description: p256
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//
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// machine_wordsize = 64 (from "64")
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//
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// requested operations: mul, square, add, sub, one, from_montgomery, to_montgomery, selectznz, to_bytes, from_bytes
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//
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// m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1")
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//
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//
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//
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// NOTE: In addition to the bounds specified above each function, all
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//
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// functions synthesized for this Montgomery arithmetic require the
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//
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// input to be strictly less than the prime modulus (m), and also
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//
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// require the input to be in the unique saturated representation.
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//
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// All functions also ensure that these two properties are true of
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//
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// return values.
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//
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//
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//
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// Computed values:
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//
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// eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192)
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//
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// 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)
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//
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// twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in
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//
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// if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256
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package fiat
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import "math/bits"
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type p256Uint1 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
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type p256Int1 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
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// The type p256MontgomeryDomainFieldElement is a field element in the Montgomery domain.
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//
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// Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
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type p256MontgomeryDomainFieldElement [4]uint64
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// The type p256NonMontgomeryDomainFieldElement is a field element NOT in the Montgomery domain.
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//
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// Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
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type p256NonMontgomeryDomainFieldElement [4]uint64
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// p256CmovznzU64 is a single-word conditional move.
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//
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// Postconditions:
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//
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// out1 = (if arg1 = 0 then arg2 else arg3)
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//
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// Input Bounds:
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//
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// arg1: [0x0 ~> 0x1]
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// arg2: [0x0 ~> 0xffffffffffffffff]
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// arg3: [0x0 ~> 0xffffffffffffffff]
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//
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// Output Bounds:
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//
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// out1: [0x0 ~> 0xffffffffffffffff]
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func p256CmovznzU64(out1 *uint64, arg1 p256Uint1, arg2 uint64, arg3 uint64) {
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x1 := (uint64(arg1) * 0xffffffffffffffff)
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x2 := ((x1 & arg3) | ((^x1) & arg2))
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*out1 = x2
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}
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// p256Mul multiplies two field elements in the Montgomery domain.
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//
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// Preconditions:
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//
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// 0 ≤ eval arg1 < m
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// 0 ≤ eval arg2 < m
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//
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// Postconditions:
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//
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// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
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// 0 ≤ eval out1 < m
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func p256Mul(out1 *p256MontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement, arg2 *p256MontgomeryDomainFieldElement) {
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x1 := arg1[1]
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x2 := arg1[2]
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x3 := arg1[3]
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x4 := arg1[0]
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var x5 uint64
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var x6 uint64
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x6, x5 = bits.Mul64(x4, arg2[3])
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var x7 uint64
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var x8 uint64
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x8, x7 = bits.Mul64(x4, arg2[2])
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var x9 uint64
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var x10 uint64
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x10, x9 = bits.Mul64(x4, arg2[1])
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var x11 uint64
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var x12 uint64
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x12, x11 = bits.Mul64(x4, arg2[0])
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var x13 uint64
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var x14 uint64
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x13, x14 = bits.Add64(x12, x9, uint64(0x0))
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var x15 uint64
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var x16 uint64
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x15, x16 = bits.Add64(x10, x7, uint64(p256Uint1(x14)))
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var x17 uint64
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var x18 uint64
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x17, x18 = bits.Add64(x8, x5, uint64(p256Uint1(x16)))
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x19 := (uint64(p256Uint1(x18)) + x6)
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var x20 uint64
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var x21 uint64
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x21, x20 = bits.Mul64(x11, 0xffffffff00000001)
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var x22 uint64
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var x23 uint64
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x23, x22 = bits.Mul64(x11, 0xffffffff)
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var x24 uint64
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var x25 uint64
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x25, x24 = bits.Mul64(x11, 0xffffffffffffffff)
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var x26 uint64
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var x27 uint64
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x26, x27 = bits.Add64(x25, x22, uint64(0x0))
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x28 := (uint64(p256Uint1(x27)) + x23)
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var x30 uint64
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_, x30 = bits.Add64(x11, x24, uint64(0x0))
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var x31 uint64
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var x32 uint64
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x31, x32 = bits.Add64(x13, x26, uint64(p256Uint1(x30)))
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var x33 uint64
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var x34 uint64
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x33, x34 = bits.Add64(x15, x28, uint64(p256Uint1(x32)))
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var x35 uint64
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var x36 uint64
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x35, x36 = bits.Add64(x17, x20, uint64(p256Uint1(x34)))
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var x37 uint64
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var x38 uint64
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x37, x38 = bits.Add64(x19, x21, uint64(p256Uint1(x36)))
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var x39 uint64
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var x40 uint64
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x40, x39 = bits.Mul64(x1, arg2[3])
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var x41 uint64
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var x42 uint64
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x42, x41 = bits.Mul64(x1, arg2[2])
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var x43 uint64
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var x44 uint64
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x44, x43 = bits.Mul64(x1, arg2[1])
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var x45 uint64
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var x46 uint64
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x46, x45 = bits.Mul64(x1, arg2[0])
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var x47 uint64
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var x48 uint64
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x47, x48 = bits.Add64(x46, x43, uint64(0x0))
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var x49 uint64
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var x50 uint64
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x49, x50 = bits.Add64(x44, x41, uint64(p256Uint1(x48)))
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var x51 uint64
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var x52 uint64
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x51, x52 = bits.Add64(x42, x39, uint64(p256Uint1(x50)))
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x53 := (uint64(p256Uint1(x52)) + x40)
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var x54 uint64
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var x55 uint64
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x54, x55 = bits.Add64(x31, x45, uint64(0x0))
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var x56 uint64
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var x57 uint64
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x56, x57 = bits.Add64(x33, x47, uint64(p256Uint1(x55)))
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var x58 uint64
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var x59 uint64
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x58, x59 = bits.Add64(x35, x49, uint64(p256Uint1(x57)))
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var x60 uint64
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var x61 uint64
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x60, x61 = bits.Add64(x37, x51, uint64(p256Uint1(x59)))
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var x62 uint64
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var x63 uint64
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x62, x63 = bits.Add64(uint64(p256Uint1(x38)), x53, uint64(p256Uint1(x61)))
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var x64 uint64
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var x65 uint64
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x65, x64 = bits.Mul64(x54, 0xffffffff00000001)
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var x66 uint64
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var x67 uint64
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x67, x66 = bits.Mul64(x54, 0xffffffff)
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var x68 uint64
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var x69 uint64
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x69, x68 = bits.Mul64(x54, 0xffffffffffffffff)
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var x70 uint64
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var x71 uint64
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x70, x71 = bits.Add64(x69, x66, uint64(0x0))
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x72 := (uint64(p256Uint1(x71)) + x67)
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var x74 uint64
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_, x74 = bits.Add64(x54, x68, uint64(0x0))
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var x75 uint64
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var x76 uint64
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x75, x76 = bits.Add64(x56, x70, uint64(p256Uint1(x74)))
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var x77 uint64
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var x78 uint64
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x77, x78 = bits.Add64(x58, x72, uint64(p256Uint1(x76)))
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var x79 uint64
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var x80 uint64
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x79, x80 = bits.Add64(x60, x64, uint64(p256Uint1(x78)))
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var x81 uint64
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var x82 uint64
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x81, x82 = bits.Add64(x62, x65, uint64(p256Uint1(x80)))
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x83 := (uint64(p256Uint1(x82)) + uint64(p256Uint1(x63)))
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var x84 uint64
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var x85 uint64
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x85, x84 = bits.Mul64(x2, arg2[3])
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var x86 uint64
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var x87 uint64
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x87, x86 = bits.Mul64(x2, arg2[2])
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var x88 uint64
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var x89 uint64
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x89, x88 = bits.Mul64(x2, arg2[1])
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var x90 uint64
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var x91 uint64
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x91, x90 = bits.Mul64(x2, arg2[0])
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var x92 uint64
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var x93 uint64
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x92, x93 = bits.Add64(x91, x88, uint64(0x0))
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var x94 uint64
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var x95 uint64
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x94, x95 = bits.Add64(x89, x86, uint64(p256Uint1(x93)))
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var x96 uint64
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var x97 uint64
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x96, x97 = bits.Add64(x87, x84, uint64(p256Uint1(x95)))
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x98 := (uint64(p256Uint1(x97)) + x85)
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var x99 uint64
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var x100 uint64
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x99, x100 = bits.Add64(x75, x90, uint64(0x0))
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var x101 uint64
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var x102 uint64
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x101, x102 = bits.Add64(x77, x92, uint64(p256Uint1(x100)))
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var x103 uint64
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var x104 uint64
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x103, x104 = bits.Add64(x79, x94, uint64(p256Uint1(x102)))
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var x105 uint64
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var x106 uint64
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x105, x106 = bits.Add64(x81, x96, uint64(p256Uint1(x104)))
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var x107 uint64
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var x108 uint64
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x107, x108 = bits.Add64(x83, x98, uint64(p256Uint1(x106)))
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var x109 uint64
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var x110 uint64
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x110, x109 = bits.Mul64(x99, 0xffffffff00000001)
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var x111 uint64
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var x112 uint64
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x112, x111 = bits.Mul64(x99, 0xffffffff)
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var x113 uint64
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var x114 uint64
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x114, x113 = bits.Mul64(x99, 0xffffffffffffffff)
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var x115 uint64
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var x116 uint64
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x115, x116 = bits.Add64(x114, x111, uint64(0x0))
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x117 := (uint64(p256Uint1(x116)) + x112)
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var x119 uint64
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_, x119 = bits.Add64(x99, x113, uint64(0x0))
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var x120 uint64
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var x121 uint64
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x120, x121 = bits.Add64(x101, x115, uint64(p256Uint1(x119)))
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var x122 uint64
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var x123 uint64
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x122, x123 = bits.Add64(x103, x117, uint64(p256Uint1(x121)))
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var x124 uint64
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var x125 uint64
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x124, x125 = bits.Add64(x105, x109, uint64(p256Uint1(x123)))
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var x126 uint64
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var x127 uint64
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x126, x127 = bits.Add64(x107, x110, uint64(p256Uint1(x125)))
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x128 := (uint64(p256Uint1(x127)) + uint64(p256Uint1(x108)))
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var x129 uint64
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var x130 uint64
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x130, x129 = bits.Mul64(x3, arg2[3])
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var x131 uint64
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var x132 uint64
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x132, x131 = bits.Mul64(x3, arg2[2])
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var x133 uint64
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var x134 uint64
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x134, x133 = bits.Mul64(x3, arg2[1])
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var x135 uint64
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var x136 uint64
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x136, x135 = bits.Mul64(x3, arg2[0])
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var x137 uint64
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var x138 uint64
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x137, x138 = bits.Add64(x136, x133, uint64(0x0))
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var x139 uint64
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var x140 uint64
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x139, x140 = bits.Add64(x134, x131, uint64(p256Uint1(x138)))
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var x141 uint64
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var x142 uint64
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x141, x142 = bits.Add64(x132, x129, uint64(p256Uint1(x140)))
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x143 := (uint64(p256Uint1(x142)) + x130)
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var x144 uint64
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var x145 uint64
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x144, x145 = bits.Add64(x120, x135, uint64(0x0))
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var x146 uint64
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var x147 uint64
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x146, x147 = bits.Add64(x122, x137, uint64(p256Uint1(x145)))
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var x148 uint64
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var x149 uint64
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x148, x149 = bits.Add64(x124, x139, uint64(p256Uint1(x147)))
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var x150 uint64
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var x151 uint64
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x150, x151 = bits.Add64(x126, x141, uint64(p256Uint1(x149)))
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var x152 uint64
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var x153 uint64
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x152, x153 = bits.Add64(x128, x143, uint64(p256Uint1(x151)))
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var x154 uint64
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var x155 uint64
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x155, x154 = bits.Mul64(x144, 0xffffffff00000001)
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var x156 uint64
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var x157 uint64
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x157, x156 = bits.Mul64(x144, 0xffffffff)
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var x158 uint64
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var x159 uint64
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x159, x158 = bits.Mul64(x144, 0xffffffffffffffff)
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var x160 uint64
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var x161 uint64
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x160, x161 = bits.Add64(x159, x156, uint64(0x0))
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x162 := (uint64(p256Uint1(x161)) + x157)
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var x164 uint64
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_, x164 = bits.Add64(x144, x158, uint64(0x0))
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var x165 uint64
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var x166 uint64
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x165, x166 = bits.Add64(x146, x160, uint64(p256Uint1(x164)))
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var x167 uint64
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var x168 uint64
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x167, x168 = bits.Add64(x148, x162, uint64(p256Uint1(x166)))
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var x169 uint64
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var x170 uint64
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x169, x170 = bits.Add64(x150, x154, uint64(p256Uint1(x168)))
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var x171 uint64
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var x172 uint64
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x171, x172 = bits.Add64(x152, x155, uint64(p256Uint1(x170)))
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x173 := (uint64(p256Uint1(x172)) + uint64(p256Uint1(x153)))
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var x174 uint64
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var x175 uint64
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x174, x175 = bits.Sub64(x165, 0xffffffffffffffff, uint64(0x0))
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var x176 uint64
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var x177 uint64
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x176, x177 = bits.Sub64(x167, 0xffffffff, uint64(p256Uint1(x175)))
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var x178 uint64
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var x179 uint64
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x178, x179 = bits.Sub64(x169, uint64(0x0), uint64(p256Uint1(x177)))
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var x180 uint64
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var x181 uint64
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x180, x181 = bits.Sub64(x171, 0xffffffff00000001, uint64(p256Uint1(x179)))
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var x183 uint64
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_, x183 = bits.Sub64(x173, uint64(0x0), uint64(p256Uint1(x181)))
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var x184 uint64
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p256CmovznzU64(&x184, p256Uint1(x183), x174, x165)
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var x185 uint64
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p256CmovznzU64(&x185, p256Uint1(x183), x176, x167)
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var x186 uint64
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p256CmovznzU64(&x186, p256Uint1(x183), x178, x169)
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var x187 uint64
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p256CmovznzU64(&x187, p256Uint1(x183), x180, x171)
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out1[0] = x184
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out1[1] = x185
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out1[2] = x186
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out1[3] = x187
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}
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// p256Square squares a field element in the Montgomery domain.
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//
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// Preconditions:
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//
|
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// 0 ≤ eval arg1 < m
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//
|
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// Postconditions:
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//
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// eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
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// 0 ≤ eval out1 < m
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func p256Square(out1 *p256MontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement) {
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x1 := arg1[1]
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x2 := arg1[2]
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x3 := arg1[3]
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x4 := arg1[0]
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var x5 uint64
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var x6 uint64
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x6, x5 = bits.Mul64(x4, arg1[3])
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var x7 uint64
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var x8 uint64
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x8, x7 = bits.Mul64(x4, arg1[2])
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var x9 uint64
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var x10 uint64
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x10, x9 = bits.Mul64(x4, arg1[1])
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var x11 uint64
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var x12 uint64
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x12, x11 = bits.Mul64(x4, arg1[0])
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var x13 uint64
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var x14 uint64
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x13, x14 = bits.Add64(x12, x9, uint64(0x0))
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var x15 uint64
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var x16 uint64
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x15, x16 = bits.Add64(x10, x7, uint64(p256Uint1(x14)))
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var x17 uint64
|
|
var x18 uint64
|
|
x17, x18 = bits.Add64(x8, x5, uint64(p256Uint1(x16)))
|
|
x19 := (uint64(p256Uint1(x18)) + x6)
|
|
var x20 uint64
|
|
var x21 uint64
|
|
x21, x20 = bits.Mul64(x11, 0xffffffff00000001)
|
|
var x22 uint64
|
|
var x23 uint64
|
|
x23, x22 = bits.Mul64(x11, 0xffffffff)
|
|
var x24 uint64
|
|
var x25 uint64
|
|
x25, x24 = bits.Mul64(x11, 0xffffffffffffffff)
|
|
var x26 uint64
|
|
var x27 uint64
|
|
x26, x27 = bits.Add64(x25, x22, uint64(0x0))
|
|
x28 := (uint64(p256Uint1(x27)) + x23)
|
|
var x30 uint64
|
|
_, x30 = bits.Add64(x11, x24, uint64(0x0))
|
|
var x31 uint64
|
|
var x32 uint64
|
|
x31, x32 = bits.Add64(x13, x26, uint64(p256Uint1(x30)))
|
|
var x33 uint64
|
|
var x34 uint64
|
|
x33, x34 = bits.Add64(x15, x28, uint64(p256Uint1(x32)))
|
|
var x35 uint64
|
|
var x36 uint64
|
|
x35, x36 = bits.Add64(x17, x20, uint64(p256Uint1(x34)))
|
|
var x37 uint64
|
|
var x38 uint64
|
|
x37, x38 = bits.Add64(x19, x21, uint64(p256Uint1(x36)))
|
|
var x39 uint64
|
|
var x40 uint64
|
|
x40, x39 = bits.Mul64(x1, arg1[3])
|
|
var x41 uint64
|
|
var x42 uint64
|
|
x42, x41 = bits.Mul64(x1, arg1[2])
|
|
var x43 uint64
|
|
var x44 uint64
|
|
x44, x43 = bits.Mul64(x1, arg1[1])
|
|
var x45 uint64
|
|
var x46 uint64
|
|
x46, x45 = bits.Mul64(x1, arg1[0])
|
|
var x47 uint64
|
|
var x48 uint64
|
|
x47, x48 = bits.Add64(x46, x43, uint64(0x0))
|
|
var x49 uint64
|
|
var x50 uint64
|
|
x49, x50 = bits.Add64(x44, x41, uint64(p256Uint1(x48)))
|
|
var x51 uint64
|
|
var x52 uint64
|
|
x51, x52 = bits.Add64(x42, x39, uint64(p256Uint1(x50)))
|
|
x53 := (uint64(p256Uint1(x52)) + x40)
|
|
var x54 uint64
|
|
var x55 uint64
|
|
x54, x55 = bits.Add64(x31, x45, uint64(0x0))
|
|
var x56 uint64
|
|
var x57 uint64
|
|
x56, x57 = bits.Add64(x33, x47, uint64(p256Uint1(x55)))
|
|
var x58 uint64
|
|
var x59 uint64
|
|
x58, x59 = bits.Add64(x35, x49, uint64(p256Uint1(x57)))
|
|
var x60 uint64
|
|
var x61 uint64
|
|
x60, x61 = bits.Add64(x37, x51, uint64(p256Uint1(x59)))
|
|
var x62 uint64
|
|
var x63 uint64
|
|
x62, x63 = bits.Add64(uint64(p256Uint1(x38)), x53, uint64(p256Uint1(x61)))
|
|
var x64 uint64
|
|
var x65 uint64
|
|
x65, x64 = bits.Mul64(x54, 0xffffffff00000001)
|
|
var x66 uint64
|
|
var x67 uint64
|
|
x67, x66 = bits.Mul64(x54, 0xffffffff)
|
|
var x68 uint64
|
|
var x69 uint64
|
|
x69, x68 = bits.Mul64(x54, 0xffffffffffffffff)
|
|
var x70 uint64
|
|
var x71 uint64
|
|
x70, x71 = bits.Add64(x69, x66, uint64(0x0))
|
|
x72 := (uint64(p256Uint1(x71)) + x67)
|
|
var x74 uint64
|
|
_, x74 = bits.Add64(x54, x68, uint64(0x0))
|
|
var x75 uint64
|
|
var x76 uint64
|
|
x75, x76 = bits.Add64(x56, x70, uint64(p256Uint1(x74)))
|
|
var x77 uint64
|
|
var x78 uint64
|
|
x77, x78 = bits.Add64(x58, x72, uint64(p256Uint1(x76)))
|
|
var x79 uint64
|
|
var x80 uint64
|
|
x79, x80 = bits.Add64(x60, x64, uint64(p256Uint1(x78)))
|
|
var x81 uint64
|
|
var x82 uint64
|
|
x81, x82 = bits.Add64(x62, x65, uint64(p256Uint1(x80)))
|
|
x83 := (uint64(p256Uint1(x82)) + uint64(p256Uint1(x63)))
|
|
var x84 uint64
|
|
var x85 uint64
|
|
x85, x84 = bits.Mul64(x2, arg1[3])
|
|
var x86 uint64
|
|
var x87 uint64
|
|
x87, x86 = bits.Mul64(x2, arg1[2])
|
|
var x88 uint64
|
|
var x89 uint64
|
|
x89, x88 = bits.Mul64(x2, arg1[1])
|
|
var x90 uint64
|
|
var x91 uint64
|
|
x91, x90 = bits.Mul64(x2, arg1[0])
|
|
var x92 uint64
|
|
var x93 uint64
|
|
x92, x93 = bits.Add64(x91, x88, uint64(0x0))
|
|
var x94 uint64
|
|
var x95 uint64
|
|
x94, x95 = bits.Add64(x89, x86, uint64(p256Uint1(x93)))
|
|
var x96 uint64
|
|
var x97 uint64
|
|
x96, x97 = bits.Add64(x87, x84, uint64(p256Uint1(x95)))
|
|
x98 := (uint64(p256Uint1(x97)) + x85)
|
|
var x99 uint64
|
|
var x100 uint64
|
|
x99, x100 = bits.Add64(x75, x90, uint64(0x0))
|
|
var x101 uint64
|
|
var x102 uint64
|
|
x101, x102 = bits.Add64(x77, x92, uint64(p256Uint1(x100)))
|
|
var x103 uint64
|
|
var x104 uint64
|
|
x103, x104 = bits.Add64(x79, x94, uint64(p256Uint1(x102)))
|
|
var x105 uint64
|
|
var x106 uint64
|
|
x105, x106 = bits.Add64(x81, x96, uint64(p256Uint1(x104)))
|
|
var x107 uint64
|
|
var x108 uint64
|
|
x107, x108 = bits.Add64(x83, x98, uint64(p256Uint1(x106)))
|
|
var x109 uint64
|
|
var x110 uint64
|
|
x110, x109 = bits.Mul64(x99, 0xffffffff00000001)
|
|
var x111 uint64
|
|
var x112 uint64
|
|
x112, x111 = bits.Mul64(x99, 0xffffffff)
|
|
var x113 uint64
|
|
var x114 uint64
|
|
x114, x113 = bits.Mul64(x99, 0xffffffffffffffff)
|
|
var x115 uint64
|
|
var x116 uint64
|
|
x115, x116 = bits.Add64(x114, x111, uint64(0x0))
|
|
x117 := (uint64(p256Uint1(x116)) + x112)
|
|
var x119 uint64
|
|
_, x119 = bits.Add64(x99, x113, uint64(0x0))
|
|
var x120 uint64
|
|
var x121 uint64
|
|
x120, x121 = bits.Add64(x101, x115, uint64(p256Uint1(x119)))
|
|
var x122 uint64
|
|
var x123 uint64
|
|
x122, x123 = bits.Add64(x103, x117, uint64(p256Uint1(x121)))
|
|
var x124 uint64
|
|
var x125 uint64
|
|
x124, x125 = bits.Add64(x105, x109, uint64(p256Uint1(x123)))
|
|
var x126 uint64
|
|
var x127 uint64
|
|
x126, x127 = bits.Add64(x107, x110, uint64(p256Uint1(x125)))
|
|
x128 := (uint64(p256Uint1(x127)) + uint64(p256Uint1(x108)))
|
|
var x129 uint64
|
|
var x130 uint64
|
|
x130, x129 = bits.Mul64(x3, arg1[3])
|
|
var x131 uint64
|
|
var x132 uint64
|
|
x132, x131 = bits.Mul64(x3, arg1[2])
|
|
var x133 uint64
|
|
var x134 uint64
|
|
x134, x133 = bits.Mul64(x3, arg1[1])
|
|
var x135 uint64
|
|
var x136 uint64
|
|
x136, x135 = bits.Mul64(x3, arg1[0])
|
|
var x137 uint64
|
|
var x138 uint64
|
|
x137, x138 = bits.Add64(x136, x133, uint64(0x0))
|
|
var x139 uint64
|
|
var x140 uint64
|
|
x139, x140 = bits.Add64(x134, x131, uint64(p256Uint1(x138)))
|
|
var x141 uint64
|
|
var x142 uint64
|
|
x141, x142 = bits.Add64(x132, x129, uint64(p256Uint1(x140)))
|
|
x143 := (uint64(p256Uint1(x142)) + x130)
|
|
var x144 uint64
|
|
var x145 uint64
|
|
x144, x145 = bits.Add64(x120, x135, uint64(0x0))
|
|
var x146 uint64
|
|
var x147 uint64
|
|
x146, x147 = bits.Add64(x122, x137, uint64(p256Uint1(x145)))
|
|
var x148 uint64
|
|
var x149 uint64
|
|
x148, x149 = bits.Add64(x124, x139, uint64(p256Uint1(x147)))
|
|
var x150 uint64
|
|
var x151 uint64
|
|
x150, x151 = bits.Add64(x126, x141, uint64(p256Uint1(x149)))
|
|
var x152 uint64
|
|
var x153 uint64
|
|
x152, x153 = bits.Add64(x128, x143, uint64(p256Uint1(x151)))
|
|
var x154 uint64
|
|
var x155 uint64
|
|
x155, x154 = bits.Mul64(x144, 0xffffffff00000001)
|
|
var x156 uint64
|
|
var x157 uint64
|
|
x157, x156 = bits.Mul64(x144, 0xffffffff)
|
|
var x158 uint64
|
|
var x159 uint64
|
|
x159, x158 = bits.Mul64(x144, 0xffffffffffffffff)
|
|
var x160 uint64
|
|
var x161 uint64
|
|
x160, x161 = bits.Add64(x159, x156, uint64(0x0))
|
|
x162 := (uint64(p256Uint1(x161)) + x157)
|
|
var x164 uint64
|
|
_, x164 = bits.Add64(x144, x158, uint64(0x0))
|
|
var x165 uint64
|
|
var x166 uint64
|
|
x165, x166 = bits.Add64(x146, x160, uint64(p256Uint1(x164)))
|
|
var x167 uint64
|
|
var x168 uint64
|
|
x167, x168 = bits.Add64(x148, x162, uint64(p256Uint1(x166)))
|
|
var x169 uint64
|
|
var x170 uint64
|
|
x169, x170 = bits.Add64(x150, x154, uint64(p256Uint1(x168)))
|
|
var x171 uint64
|
|
var x172 uint64
|
|
x171, x172 = bits.Add64(x152, x155, uint64(p256Uint1(x170)))
|
|
x173 := (uint64(p256Uint1(x172)) + uint64(p256Uint1(x153)))
|
|
var x174 uint64
|
|
var x175 uint64
|
|
x174, x175 = bits.Sub64(x165, 0xffffffffffffffff, uint64(0x0))
|
|
var x176 uint64
|
|
var x177 uint64
|
|
x176, x177 = bits.Sub64(x167, 0xffffffff, uint64(p256Uint1(x175)))
|
|
var x178 uint64
|
|
var x179 uint64
|
|
x178, x179 = bits.Sub64(x169, uint64(0x0), uint64(p256Uint1(x177)))
|
|
var x180 uint64
|
|
var x181 uint64
|
|
x180, x181 = bits.Sub64(x171, 0xffffffff00000001, uint64(p256Uint1(x179)))
|
|
var x183 uint64
|
|
_, x183 = bits.Sub64(x173, uint64(0x0), uint64(p256Uint1(x181)))
|
|
var x184 uint64
|
|
p256CmovznzU64(&x184, p256Uint1(x183), x174, x165)
|
|
var x185 uint64
|
|
p256CmovznzU64(&x185, p256Uint1(x183), x176, x167)
|
|
var x186 uint64
|
|
p256CmovznzU64(&x186, p256Uint1(x183), x178, x169)
|
|
var x187 uint64
|
|
p256CmovznzU64(&x187, p256Uint1(x183), x180, x171)
|
|
out1[0] = x184
|
|
out1[1] = x185
|
|
out1[2] = x186
|
|
out1[3] = x187
|
|
}
|
|
|
|
// p256Add 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 p256Add(out1 *p256MontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement, arg2 *p256MontgomeryDomainFieldElement) {
|
|
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(p256Uint1(x2)))
|
|
var x5 uint64
|
|
var x6 uint64
|
|
x5, x6 = bits.Add64(arg1[2], arg2[2], uint64(p256Uint1(x4)))
|
|
var x7 uint64
|
|
var x8 uint64
|
|
x7, x8 = bits.Add64(arg1[3], arg2[3], uint64(p256Uint1(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, 0xffffffff, uint64(p256Uint1(x10)))
|
|
var x13 uint64
|
|
var x14 uint64
|
|
x13, x14 = bits.Sub64(x5, uint64(0x0), uint64(p256Uint1(x12)))
|
|
var x15 uint64
|
|
var x16 uint64
|
|
x15, x16 = bits.Sub64(x7, 0xffffffff00000001, uint64(p256Uint1(x14)))
|
|
var x18 uint64
|
|
_, x18 = bits.Sub64(uint64(p256Uint1(x8)), uint64(0x0), uint64(p256Uint1(x16)))
|
|
var x19 uint64
|
|
p256CmovznzU64(&x19, p256Uint1(x18), x9, x1)
|
|
var x20 uint64
|
|
p256CmovznzU64(&x20, p256Uint1(x18), x11, x3)
|
|
var x21 uint64
|
|
p256CmovznzU64(&x21, p256Uint1(x18), x13, x5)
|
|
var x22 uint64
|
|
p256CmovznzU64(&x22, p256Uint1(x18), x15, x7)
|
|
out1[0] = x19
|
|
out1[1] = x20
|
|
out1[2] = x21
|
|
out1[3] = x22
|
|
}
|
|
|
|
// p256Sub 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 p256Sub(out1 *p256MontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement, arg2 *p256MontgomeryDomainFieldElement) {
|
|
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(p256Uint1(x2)))
|
|
var x5 uint64
|
|
var x6 uint64
|
|
x5, x6 = bits.Sub64(arg1[2], arg2[2], uint64(p256Uint1(x4)))
|
|
var x7 uint64
|
|
var x8 uint64
|
|
x7, x8 = bits.Sub64(arg1[3], arg2[3], uint64(p256Uint1(x6)))
|
|
var x9 uint64
|
|
p256CmovznzU64(&x9, p256Uint1(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 & 0xffffffff), uint64(p256Uint1(x11)))
|
|
var x14 uint64
|
|
var x15 uint64
|
|
x14, x15 = bits.Add64(x5, uint64(0x0), uint64(p256Uint1(x13)))
|
|
var x16 uint64
|
|
x16, _ = bits.Add64(x7, (x9 & 0xffffffff00000001), uint64(p256Uint1(x15)))
|
|
out1[0] = x10
|
|
out1[1] = x12
|
|
out1[2] = x14
|
|
out1[3] = x16
|
|
}
|
|
|
|
// p256SetOne returns the field element one in the Montgomery domain.
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval (from_montgomery out1) mod m = 1 mod m
|
|
// 0 ≤ eval out1 < m
|
|
func p256SetOne(out1 *p256MontgomeryDomainFieldElement) {
|
|
out1[0] = uint64(0x1)
|
|
out1[1] = 0xffffffff00000000
|
|
out1[2] = 0xffffffffffffffff
|
|
out1[3] = 0xfffffffe
|
|
}
|
|
|
|
// p256FromMontgomery 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 p256FromMontgomery(out1 *p256NonMontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement) {
|
|
x1 := arg1[0]
|
|
var x2 uint64
|
|
var x3 uint64
|
|
x3, x2 = bits.Mul64(x1, 0xffffffff00000001)
|
|
var x4 uint64
|
|
var x5 uint64
|
|
x5, x4 = bits.Mul64(x1, 0xffffffff)
|
|
var x6 uint64
|
|
var x7 uint64
|
|
x7, x6 = bits.Mul64(x1, 0xffffffffffffffff)
|
|
var x8 uint64
|
|
var x9 uint64
|
|
x8, x9 = bits.Add64(x7, x4, uint64(0x0))
|
|
var x11 uint64
|
|
_, x11 = bits.Add64(x1, x6, uint64(0x0))
|
|
var x12 uint64
|
|
var x13 uint64
|
|
x12, x13 = bits.Add64(uint64(0x0), x8, uint64(p256Uint1(x11)))
|
|
var x14 uint64
|
|
var x15 uint64
|
|
x14, x15 = bits.Add64(x12, arg1[1], uint64(0x0))
|
|
var x16 uint64
|
|
var x17 uint64
|
|
x17, x16 = bits.Mul64(x14, 0xffffffff00000001)
|
|
var x18 uint64
|
|
var x19 uint64
|
|
x19, x18 = bits.Mul64(x14, 0xffffffff)
|
|
var x20 uint64
|
|
var x21 uint64
|
|
x21, x20 = bits.Mul64(x14, 0xffffffffffffffff)
|
|
var x22 uint64
|
|
var x23 uint64
|
|
x22, x23 = bits.Add64(x21, x18, uint64(0x0))
|
|
var x25 uint64
|
|
_, x25 = bits.Add64(x14, x20, uint64(0x0))
|
|
var x26 uint64
|
|
var x27 uint64
|
|
x26, x27 = bits.Add64((uint64(p256Uint1(x15)) + (uint64(p256Uint1(x13)) + (uint64(p256Uint1(x9)) + x5))), x22, uint64(p256Uint1(x25)))
|
|
var x28 uint64
|
|
var x29 uint64
|
|
x28, x29 = bits.Add64(x2, (uint64(p256Uint1(x23)) + x19), uint64(p256Uint1(x27)))
|
|
var x30 uint64
|
|
var x31 uint64
|
|
x30, x31 = bits.Add64(x3, x16, uint64(p256Uint1(x29)))
|
|
var x32 uint64
|
|
var x33 uint64
|
|
x32, x33 = bits.Add64(x26, arg1[2], uint64(0x0))
|
|
var x34 uint64
|
|
var x35 uint64
|
|
x34, x35 = bits.Add64(x28, uint64(0x0), uint64(p256Uint1(x33)))
|
|
var x36 uint64
|
|
var x37 uint64
|
|
x36, x37 = bits.Add64(x30, uint64(0x0), uint64(p256Uint1(x35)))
|
|
var x38 uint64
|
|
var x39 uint64
|
|
x39, x38 = bits.Mul64(x32, 0xffffffff00000001)
|
|
var x40 uint64
|
|
var x41 uint64
|
|
x41, x40 = bits.Mul64(x32, 0xffffffff)
|
|
var x42 uint64
|
|
var x43 uint64
|
|
x43, x42 = bits.Mul64(x32, 0xffffffffffffffff)
|
|
var x44 uint64
|
|
var x45 uint64
|
|
x44, x45 = bits.Add64(x43, x40, uint64(0x0))
|
|
var x47 uint64
|
|
_, x47 = bits.Add64(x32, x42, uint64(0x0))
|
|
var x48 uint64
|
|
var x49 uint64
|
|
x48, x49 = bits.Add64(x34, x44, uint64(p256Uint1(x47)))
|
|
var x50 uint64
|
|
var x51 uint64
|
|
x50, x51 = bits.Add64(x36, (uint64(p256Uint1(x45)) + x41), uint64(p256Uint1(x49)))
|
|
var x52 uint64
|
|
var x53 uint64
|
|
x52, x53 = bits.Add64((uint64(p256Uint1(x37)) + (uint64(p256Uint1(x31)) + x17)), x38, uint64(p256Uint1(x51)))
|
|
var x54 uint64
|
|
var x55 uint64
|
|
x54, x55 = bits.Add64(x48, arg1[3], uint64(0x0))
|
|
var x56 uint64
|
|
var x57 uint64
|
|
x56, x57 = bits.Add64(x50, uint64(0x0), uint64(p256Uint1(x55)))
|
|
var x58 uint64
|
|
var x59 uint64
|
|
x58, x59 = bits.Add64(x52, uint64(0x0), uint64(p256Uint1(x57)))
|
|
var x60 uint64
|
|
var x61 uint64
|
|
x61, x60 = bits.Mul64(x54, 0xffffffff00000001)
|
|
var x62 uint64
|
|
var x63 uint64
|
|
x63, x62 = bits.Mul64(x54, 0xffffffff)
|
|
var x64 uint64
|
|
var x65 uint64
|
|
x65, x64 = bits.Mul64(x54, 0xffffffffffffffff)
|
|
var x66 uint64
|
|
var x67 uint64
|
|
x66, x67 = bits.Add64(x65, x62, uint64(0x0))
|
|
var x69 uint64
|
|
_, x69 = bits.Add64(x54, x64, uint64(0x0))
|
|
var x70 uint64
|
|
var x71 uint64
|
|
x70, x71 = bits.Add64(x56, x66, uint64(p256Uint1(x69)))
|
|
var x72 uint64
|
|
var x73 uint64
|
|
x72, x73 = bits.Add64(x58, (uint64(p256Uint1(x67)) + x63), uint64(p256Uint1(x71)))
|
|
var x74 uint64
|
|
var x75 uint64
|
|
x74, x75 = bits.Add64((uint64(p256Uint1(x59)) + (uint64(p256Uint1(x53)) + x39)), x60, uint64(p256Uint1(x73)))
|
|
x76 := (uint64(p256Uint1(x75)) + x61)
|
|
var x77 uint64
|
|
var x78 uint64
|
|
x77, x78 = bits.Sub64(x70, 0xffffffffffffffff, uint64(0x0))
|
|
var x79 uint64
|
|
var x80 uint64
|
|
x79, x80 = bits.Sub64(x72, 0xffffffff, uint64(p256Uint1(x78)))
|
|
var x81 uint64
|
|
var x82 uint64
|
|
x81, x82 = bits.Sub64(x74, uint64(0x0), uint64(p256Uint1(x80)))
|
|
var x83 uint64
|
|
var x84 uint64
|
|
x83, x84 = bits.Sub64(x76, 0xffffffff00000001, uint64(p256Uint1(x82)))
|
|
var x86 uint64
|
|
_, x86 = bits.Sub64(uint64(0x0), uint64(0x0), uint64(p256Uint1(x84)))
|
|
var x87 uint64
|
|
p256CmovznzU64(&x87, p256Uint1(x86), x77, x70)
|
|
var x88 uint64
|
|
p256CmovznzU64(&x88, p256Uint1(x86), x79, x72)
|
|
var x89 uint64
|
|
p256CmovznzU64(&x89, p256Uint1(x86), x81, x74)
|
|
var x90 uint64
|
|
p256CmovznzU64(&x90, p256Uint1(x86), x83, x76)
|
|
out1[0] = x87
|
|
out1[1] = x88
|
|
out1[2] = x89
|
|
out1[3] = x90
|
|
}
|
|
|
|
// p256ToMontgomery translates a field element into the Montgomery domain.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval (from_montgomery out1) mod m = eval arg1 mod m
|
|
// 0 ≤ eval out1 < m
|
|
func p256ToMontgomery(out1 *p256MontgomeryDomainFieldElement, arg1 *p256NonMontgomeryDomainFieldElement) {
|
|
x1 := arg1[1]
|
|
x2 := arg1[2]
|
|
x3 := arg1[3]
|
|
x4 := arg1[0]
|
|
var x5 uint64
|
|
var x6 uint64
|
|
x6, x5 = bits.Mul64(x4, 0x4fffffffd)
|
|
var x7 uint64
|
|
var x8 uint64
|
|
x8, x7 = bits.Mul64(x4, 0xfffffffffffffffe)
|
|
var x9 uint64
|
|
var x10 uint64
|
|
x10, x9 = bits.Mul64(x4, 0xfffffffbffffffff)
|
|
var x11 uint64
|
|
var x12 uint64
|
|
x12, x11 = bits.Mul64(x4, 0x3)
|
|
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(p256Uint1(x14)))
|
|
var x17 uint64
|
|
var x18 uint64
|
|
x17, x18 = bits.Add64(x8, x5, uint64(p256Uint1(x16)))
|
|
var x19 uint64
|
|
var x20 uint64
|
|
x20, x19 = bits.Mul64(x11, 0xffffffff00000001)
|
|
var x21 uint64
|
|
var x22 uint64
|
|
x22, x21 = bits.Mul64(x11, 0xffffffff)
|
|
var x23 uint64
|
|
var x24 uint64
|
|
x24, x23 = bits.Mul64(x11, 0xffffffffffffffff)
|
|
var x25 uint64
|
|
var x26 uint64
|
|
x25, x26 = bits.Add64(x24, x21, uint64(0x0))
|
|
var x28 uint64
|
|
_, x28 = bits.Add64(x11, x23, uint64(0x0))
|
|
var x29 uint64
|
|
var x30 uint64
|
|
x29, x30 = bits.Add64(x13, x25, uint64(p256Uint1(x28)))
|
|
var x31 uint64
|
|
var x32 uint64
|
|
x31, x32 = bits.Add64(x15, (uint64(p256Uint1(x26)) + x22), uint64(p256Uint1(x30)))
|
|
var x33 uint64
|
|
var x34 uint64
|
|
x33, x34 = bits.Add64(x17, x19, uint64(p256Uint1(x32)))
|
|
var x35 uint64
|
|
var x36 uint64
|
|
x35, x36 = bits.Add64((uint64(p256Uint1(x18)) + x6), x20, uint64(p256Uint1(x34)))
|
|
var x37 uint64
|
|
var x38 uint64
|
|
x38, x37 = bits.Mul64(x1, 0x4fffffffd)
|
|
var x39 uint64
|
|
var x40 uint64
|
|
x40, x39 = bits.Mul64(x1, 0xfffffffffffffffe)
|
|
var x41 uint64
|
|
var x42 uint64
|
|
x42, x41 = bits.Mul64(x1, 0xfffffffbffffffff)
|
|
var x43 uint64
|
|
var x44 uint64
|
|
x44, x43 = bits.Mul64(x1, 0x3)
|
|
var x45 uint64
|
|
var x46 uint64
|
|
x45, x46 = bits.Add64(x44, x41, uint64(0x0))
|
|
var x47 uint64
|
|
var x48 uint64
|
|
x47, x48 = bits.Add64(x42, x39, uint64(p256Uint1(x46)))
|
|
var x49 uint64
|
|
var x50 uint64
|
|
x49, x50 = bits.Add64(x40, x37, uint64(p256Uint1(x48)))
|
|
var x51 uint64
|
|
var x52 uint64
|
|
x51, x52 = bits.Add64(x29, x43, uint64(0x0))
|
|
var x53 uint64
|
|
var x54 uint64
|
|
x53, x54 = bits.Add64(x31, x45, uint64(p256Uint1(x52)))
|
|
var x55 uint64
|
|
var x56 uint64
|
|
x55, x56 = bits.Add64(x33, x47, uint64(p256Uint1(x54)))
|
|
var x57 uint64
|
|
var x58 uint64
|
|
x57, x58 = bits.Add64(x35, x49, uint64(p256Uint1(x56)))
|
|
var x59 uint64
|
|
var x60 uint64
|
|
x60, x59 = bits.Mul64(x51, 0xffffffff00000001)
|
|
var x61 uint64
|
|
var x62 uint64
|
|
x62, x61 = bits.Mul64(x51, 0xffffffff)
|
|
var x63 uint64
|
|
var x64 uint64
|
|
x64, x63 = bits.Mul64(x51, 0xffffffffffffffff)
|
|
var x65 uint64
|
|
var x66 uint64
|
|
x65, x66 = bits.Add64(x64, x61, uint64(0x0))
|
|
var x68 uint64
|
|
_, x68 = bits.Add64(x51, x63, uint64(0x0))
|
|
var x69 uint64
|
|
var x70 uint64
|
|
x69, x70 = bits.Add64(x53, x65, uint64(p256Uint1(x68)))
|
|
var x71 uint64
|
|
var x72 uint64
|
|
x71, x72 = bits.Add64(x55, (uint64(p256Uint1(x66)) + x62), uint64(p256Uint1(x70)))
|
|
var x73 uint64
|
|
var x74 uint64
|
|
x73, x74 = bits.Add64(x57, x59, uint64(p256Uint1(x72)))
|
|
var x75 uint64
|
|
var x76 uint64
|
|
x75, x76 = bits.Add64(((uint64(p256Uint1(x58)) + uint64(p256Uint1(x36))) + (uint64(p256Uint1(x50)) + x38)), x60, uint64(p256Uint1(x74)))
|
|
var x77 uint64
|
|
var x78 uint64
|
|
x78, x77 = bits.Mul64(x2, 0x4fffffffd)
|
|
var x79 uint64
|
|
var x80 uint64
|
|
x80, x79 = bits.Mul64(x2, 0xfffffffffffffffe)
|
|
var x81 uint64
|
|
var x82 uint64
|
|
x82, x81 = bits.Mul64(x2, 0xfffffffbffffffff)
|
|
var x83 uint64
|
|
var x84 uint64
|
|
x84, x83 = bits.Mul64(x2, 0x3)
|
|
var x85 uint64
|
|
var x86 uint64
|
|
x85, x86 = bits.Add64(x84, x81, uint64(0x0))
|
|
var x87 uint64
|
|
var x88 uint64
|
|
x87, x88 = bits.Add64(x82, x79, uint64(p256Uint1(x86)))
|
|
var x89 uint64
|
|
var x90 uint64
|
|
x89, x90 = bits.Add64(x80, x77, uint64(p256Uint1(x88)))
|
|
var x91 uint64
|
|
var x92 uint64
|
|
x91, x92 = bits.Add64(x69, x83, uint64(0x0))
|
|
var x93 uint64
|
|
var x94 uint64
|
|
x93, x94 = bits.Add64(x71, x85, uint64(p256Uint1(x92)))
|
|
var x95 uint64
|
|
var x96 uint64
|
|
x95, x96 = bits.Add64(x73, x87, uint64(p256Uint1(x94)))
|
|
var x97 uint64
|
|
var x98 uint64
|
|
x97, x98 = bits.Add64(x75, x89, uint64(p256Uint1(x96)))
|
|
var x99 uint64
|
|
var x100 uint64
|
|
x100, x99 = bits.Mul64(x91, 0xffffffff00000001)
|
|
var x101 uint64
|
|
var x102 uint64
|
|
x102, x101 = bits.Mul64(x91, 0xffffffff)
|
|
var x103 uint64
|
|
var x104 uint64
|
|
x104, x103 = bits.Mul64(x91, 0xffffffffffffffff)
|
|
var x105 uint64
|
|
var x106 uint64
|
|
x105, x106 = bits.Add64(x104, x101, uint64(0x0))
|
|
var x108 uint64
|
|
_, x108 = bits.Add64(x91, x103, uint64(0x0))
|
|
var x109 uint64
|
|
var x110 uint64
|
|
x109, x110 = bits.Add64(x93, x105, uint64(p256Uint1(x108)))
|
|
var x111 uint64
|
|
var x112 uint64
|
|
x111, x112 = bits.Add64(x95, (uint64(p256Uint1(x106)) + x102), uint64(p256Uint1(x110)))
|
|
var x113 uint64
|
|
var x114 uint64
|
|
x113, x114 = bits.Add64(x97, x99, uint64(p256Uint1(x112)))
|
|
var x115 uint64
|
|
var x116 uint64
|
|
x115, x116 = bits.Add64(((uint64(p256Uint1(x98)) + uint64(p256Uint1(x76))) + (uint64(p256Uint1(x90)) + x78)), x100, uint64(p256Uint1(x114)))
|
|
var x117 uint64
|
|
var x118 uint64
|
|
x118, x117 = bits.Mul64(x3, 0x4fffffffd)
|
|
var x119 uint64
|
|
var x120 uint64
|
|
x120, x119 = bits.Mul64(x3, 0xfffffffffffffffe)
|
|
var x121 uint64
|
|
var x122 uint64
|
|
x122, x121 = bits.Mul64(x3, 0xfffffffbffffffff)
|
|
var x123 uint64
|
|
var x124 uint64
|
|
x124, x123 = bits.Mul64(x3, 0x3)
|
|
var x125 uint64
|
|
var x126 uint64
|
|
x125, x126 = bits.Add64(x124, x121, uint64(0x0))
|
|
var x127 uint64
|
|
var x128 uint64
|
|
x127, x128 = bits.Add64(x122, x119, uint64(p256Uint1(x126)))
|
|
var x129 uint64
|
|
var x130 uint64
|
|
x129, x130 = bits.Add64(x120, x117, uint64(p256Uint1(x128)))
|
|
var x131 uint64
|
|
var x132 uint64
|
|
x131, x132 = bits.Add64(x109, x123, uint64(0x0))
|
|
var x133 uint64
|
|
var x134 uint64
|
|
x133, x134 = bits.Add64(x111, x125, uint64(p256Uint1(x132)))
|
|
var x135 uint64
|
|
var x136 uint64
|
|
x135, x136 = bits.Add64(x113, x127, uint64(p256Uint1(x134)))
|
|
var x137 uint64
|
|
var x138 uint64
|
|
x137, x138 = bits.Add64(x115, x129, uint64(p256Uint1(x136)))
|
|
var x139 uint64
|
|
var x140 uint64
|
|
x140, x139 = bits.Mul64(x131, 0xffffffff00000001)
|
|
var x141 uint64
|
|
var x142 uint64
|
|
x142, x141 = bits.Mul64(x131, 0xffffffff)
|
|
var x143 uint64
|
|
var x144 uint64
|
|
x144, x143 = bits.Mul64(x131, 0xffffffffffffffff)
|
|
var x145 uint64
|
|
var x146 uint64
|
|
x145, x146 = bits.Add64(x144, x141, uint64(0x0))
|
|
var x148 uint64
|
|
_, x148 = bits.Add64(x131, x143, uint64(0x0))
|
|
var x149 uint64
|
|
var x150 uint64
|
|
x149, x150 = bits.Add64(x133, x145, uint64(p256Uint1(x148)))
|
|
var x151 uint64
|
|
var x152 uint64
|
|
x151, x152 = bits.Add64(x135, (uint64(p256Uint1(x146)) + x142), uint64(p256Uint1(x150)))
|
|
var x153 uint64
|
|
var x154 uint64
|
|
x153, x154 = bits.Add64(x137, x139, uint64(p256Uint1(x152)))
|
|
var x155 uint64
|
|
var x156 uint64
|
|
x155, x156 = bits.Add64(((uint64(p256Uint1(x138)) + uint64(p256Uint1(x116))) + (uint64(p256Uint1(x130)) + x118)), x140, uint64(p256Uint1(x154)))
|
|
var x157 uint64
|
|
var x158 uint64
|
|
x157, x158 = bits.Sub64(x149, 0xffffffffffffffff, uint64(0x0))
|
|
var x159 uint64
|
|
var x160 uint64
|
|
x159, x160 = bits.Sub64(x151, 0xffffffff, uint64(p256Uint1(x158)))
|
|
var x161 uint64
|
|
var x162 uint64
|
|
x161, x162 = bits.Sub64(x153, uint64(0x0), uint64(p256Uint1(x160)))
|
|
var x163 uint64
|
|
var x164 uint64
|
|
x163, x164 = bits.Sub64(x155, 0xffffffff00000001, uint64(p256Uint1(x162)))
|
|
var x166 uint64
|
|
_, x166 = bits.Sub64(uint64(p256Uint1(x156)), uint64(0x0), uint64(p256Uint1(x164)))
|
|
var x167 uint64
|
|
p256CmovznzU64(&x167, p256Uint1(x166), x157, x149)
|
|
var x168 uint64
|
|
p256CmovznzU64(&x168, p256Uint1(x166), x159, x151)
|
|
var x169 uint64
|
|
p256CmovznzU64(&x169, p256Uint1(x166), x161, x153)
|
|
var x170 uint64
|
|
p256CmovznzU64(&x170, p256Uint1(x166), x163, x155)
|
|
out1[0] = x167
|
|
out1[1] = x168
|
|
out1[2] = x169
|
|
out1[3] = x170
|
|
}
|
|
|
|
// p256Selectznz is a multi-limb conditional select.
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
|
|
//
|
|
// Input Bounds:
|
|
//
|
|
// arg1: [0x0 ~> 0x1]
|
|
// arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
|
// arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
|
//
|
|
// Output Bounds:
|
|
//
|
|
// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
|
func p256Selectznz(out1 *[4]uint64, arg1 p256Uint1, arg2 *[4]uint64, arg3 *[4]uint64) {
|
|
var x1 uint64
|
|
p256CmovznzU64(&x1, arg1, arg2[0], arg3[0])
|
|
var x2 uint64
|
|
p256CmovznzU64(&x2, arg1, arg2[1], arg3[1])
|
|
var x3 uint64
|
|
p256CmovznzU64(&x3, arg1, arg2[2], arg3[2])
|
|
var x4 uint64
|
|
p256CmovznzU64(&x4, arg1, arg2[3], arg3[3])
|
|
out1[0] = x1
|
|
out1[1] = x2
|
|
out1[2] = x3
|
|
out1[3] = x4
|
|
}
|
|
|
|
// p256ToBytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order.
|
|
//
|
|
// Preconditions:
|
|
//
|
|
// 0 ≤ eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
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//
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// Input Bounds:
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//
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// arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
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//
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// Output Bounds:
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//
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// 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 ~> 0xff]]
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func p256ToBytes(out1 *[32]uint8, arg1 *[4]uint64) {
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x1 := arg1[3]
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x2 := arg1[2]
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x3 := arg1[1]
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x4 := arg1[0]
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x5 := (uint8(x4) & 0xff)
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x6 := (x4 >> 8)
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x7 := (uint8(x6) & 0xff)
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x8 := (x6 >> 8)
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x9 := (uint8(x8) & 0xff)
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x10 := (x8 >> 8)
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x11 := (uint8(x10) & 0xff)
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x12 := (x10 >> 8)
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x13 := (uint8(x12) & 0xff)
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x14 := (x12 >> 8)
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x15 := (uint8(x14) & 0xff)
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x16 := (x14 >> 8)
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x17 := (uint8(x16) & 0xff)
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x18 := uint8((x16 >> 8))
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x19 := (uint8(x3) & 0xff)
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x20 := (x3 >> 8)
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x21 := (uint8(x20) & 0xff)
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x22 := (x20 >> 8)
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x23 := (uint8(x22) & 0xff)
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x24 := (x22 >> 8)
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x25 := (uint8(x24) & 0xff)
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x26 := (x24 >> 8)
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x27 := (uint8(x26) & 0xff)
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x28 := (x26 >> 8)
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x29 := (uint8(x28) & 0xff)
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x30 := (x28 >> 8)
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x31 := (uint8(x30) & 0xff)
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x32 := uint8((x30 >> 8))
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x33 := (uint8(x2) & 0xff)
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x34 := (x2 >> 8)
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x35 := (uint8(x34) & 0xff)
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x36 := (x34 >> 8)
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x37 := (uint8(x36) & 0xff)
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x38 := (x36 >> 8)
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x39 := (uint8(x38) & 0xff)
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x40 := (x38 >> 8)
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x41 := (uint8(x40) & 0xff)
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x42 := (x40 >> 8)
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x43 := (uint8(x42) & 0xff)
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x44 := (x42 >> 8)
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x45 := (uint8(x44) & 0xff)
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x46 := uint8((x44 >> 8))
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x47 := (uint8(x1) & 0xff)
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x48 := (x1 >> 8)
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x49 := (uint8(x48) & 0xff)
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x50 := (x48 >> 8)
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x51 := (uint8(x50) & 0xff)
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x52 := (x50 >> 8)
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x53 := (uint8(x52) & 0xff)
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x54 := (x52 >> 8)
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x55 := (uint8(x54) & 0xff)
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x56 := (x54 >> 8)
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x57 := (uint8(x56) & 0xff)
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x58 := (x56 >> 8)
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x59 := (uint8(x58) & 0xff)
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x60 := uint8((x58 >> 8))
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out1[0] = x5
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out1[1] = x7
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out1[2] = x9
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out1[3] = x11
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out1[4] = x13
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|
out1[5] = x15
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|
out1[6] = x17
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out1[7] = x18
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out1[8] = x19
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out1[9] = x21
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|
out1[10] = x23
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|
out1[11] = x25
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out1[12] = x27
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out1[13] = x29
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out1[14] = x31
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|
out1[15] = x32
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|
out1[16] = x33
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out1[17] = x35
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out1[18] = x37
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out1[19] = x39
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|
out1[20] = x41
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|
out1[21] = x43
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out1[22] = x45
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out1[23] = x46
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out1[24] = x47
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|
out1[25] = x49
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|
out1[26] = x51
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|
out1[27] = x53
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|
out1[28] = x55
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|
out1[29] = x57
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|
out1[30] = x59
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|
out1[31] = x60
|
|
}
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|
|
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// p256FromBytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order.
|
|
//
|
|
// Preconditions:
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|
//
|
|
// 0 ≤ bytes_eval arg1 < m
|
|
//
|
|
// Postconditions:
|
|
//
|
|
// eval out1 mod m = bytes_eval arg1 mod m
|
|
// 0 ≤ eval out1 < m
|
|
//
|
|
// Input Bounds:
|
|
//
|
|
// arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]]
|
|
//
|
|
// Output Bounds:
|
|
//
|
|
// out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
|
|
func p256FromBytes(out1 *[4]uint64, arg1 *[32]uint8) {
|
|
x1 := (uint64(arg1[31]) << 56)
|
|
x2 := (uint64(arg1[30]) << 48)
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|
x3 := (uint64(arg1[29]) << 40)
|
|
x4 := (uint64(arg1[28]) << 32)
|
|
x5 := (uint64(arg1[27]) << 24)
|
|
x6 := (uint64(arg1[26]) << 16)
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|
x7 := (uint64(arg1[25]) << 8)
|
|
x8 := arg1[24]
|
|
x9 := (uint64(arg1[23]) << 56)
|
|
x10 := (uint64(arg1[22]) << 48)
|
|
x11 := (uint64(arg1[21]) << 40)
|
|
x12 := (uint64(arg1[20]) << 32)
|
|
x13 := (uint64(arg1[19]) << 24)
|
|
x14 := (uint64(arg1[18]) << 16)
|
|
x15 := (uint64(arg1[17]) << 8)
|
|
x16 := arg1[16]
|
|
x17 := (uint64(arg1[15]) << 56)
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|
x18 := (uint64(arg1[14]) << 48)
|
|
x19 := (uint64(arg1[13]) << 40)
|
|
x20 := (uint64(arg1[12]) << 32)
|
|
x21 := (uint64(arg1[11]) << 24)
|
|
x22 := (uint64(arg1[10]) << 16)
|
|
x23 := (uint64(arg1[9]) << 8)
|
|
x24 := arg1[8]
|
|
x25 := (uint64(arg1[7]) << 56)
|
|
x26 := (uint64(arg1[6]) << 48)
|
|
x27 := (uint64(arg1[5]) << 40)
|
|
x28 := (uint64(arg1[4]) << 32)
|
|
x29 := (uint64(arg1[3]) << 24)
|
|
x30 := (uint64(arg1[2]) << 16)
|
|
x31 := (uint64(arg1[1]) << 8)
|
|
x32 := arg1[0]
|
|
x33 := (x31 + uint64(x32))
|
|
x34 := (x30 + x33)
|
|
x35 := (x29 + x34)
|
|
x36 := (x28 + x35)
|
|
x37 := (x27 + x36)
|
|
x38 := (x26 + x37)
|
|
x39 := (x25 + x38)
|
|
x40 := (x23 + uint64(x24))
|
|
x41 := (x22 + x40)
|
|
x42 := (x21 + x41)
|
|
x43 := (x20 + x42)
|
|
x44 := (x19 + x43)
|
|
x45 := (x18 + x44)
|
|
x46 := (x17 + x45)
|
|
x47 := (x15 + uint64(x16))
|
|
x48 := (x14 + x47)
|
|
x49 := (x13 + x48)
|
|
x50 := (x12 + x49)
|
|
x51 := (x11 + x50)
|
|
x52 := (x10 + x51)
|
|
x53 := (x9 + x52)
|
|
x54 := (x7 + uint64(x8))
|
|
x55 := (x6 + x54)
|
|
x56 := (x5 + x55)
|
|
x57 := (x4 + x56)
|
|
x58 := (x3 + x57)
|
|
x59 := (x2 + x58)
|
|
x60 := (x1 + x59)
|
|
out1[0] = x39
|
|
out1[1] = x46
|
|
out1[2] = x53
|
|
out1[3] = x60
|
|
}
|