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Prad Nukala
@@ -0,0 +1,207 @@
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//
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// Copyright Coinbase, Inc. All Rights Reserved.
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//
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// SPDX-License-Identifier: Apache-2.0
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//
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package fp
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import (
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"math/big"
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"sync"
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"github.com/sonr-io/sonr/crypto/core/curves/native"
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)
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var (
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k256FpInitonce sync.Once
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k256FpParams native.FieldParams
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)
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func K256FpNew() *native.Field {
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return &native.Field{
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Value: [native.FieldLimbs]uint64{},
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Params: getK256FpParams(),
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Arithmetic: k256FpArithmetic{},
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}
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}
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func k256FpParamsInit() {
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k256FpParams = native.FieldParams{
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R: [native.FieldLimbs]uint64{
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0x00000001000003d1,
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0x0000000000000000,
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0x0000000000000000,
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0x0000000000000000,
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},
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R2: [native.FieldLimbs]uint64{
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0x000007a2000e90a1,
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0x0000000000000001,
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0x0000000000000000,
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0x0000000000000000,
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},
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R3: [native.FieldLimbs]uint64{
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0x002bb1e33795f671,
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0x0000000100000b73,
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0x0000000000000000,
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0x0000000000000000,
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},
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Modulus: [native.FieldLimbs]uint64{
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0xfffffffefffffc2f,
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0xffffffffffffffff,
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0xffffffffffffffff,
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0xffffffffffffffff,
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},
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BiModulus: new(big.Int).SetBytes([]byte{
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0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xfc, 0x2f,
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}),
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}
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}
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func getK256FpParams() *native.FieldParams {
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k256FpInitonce.Do(k256FpParamsInit)
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return &k256FpParams
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}
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// k256FpArithmetic is a struct with all the methods needed for working
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// in mod p
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type k256FpArithmetic struct{}
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// ToMontgomery converts this field to montgomery form
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func (f k256FpArithmetic) ToMontgomery(out, arg *[native.FieldLimbs]uint64) {
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ToMontgomery((*MontgomeryDomainFieldElement)(out), (*NonMontgomeryDomainFieldElement)(arg))
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}
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// FromMontgomery converts this field from montgomery form
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func (f k256FpArithmetic) FromMontgomery(out, arg *[native.FieldLimbs]uint64) {
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FromMontgomery((*NonMontgomeryDomainFieldElement)(out), (*MontgomeryDomainFieldElement)(arg))
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}
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// Neg performs modular negation
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func (f k256FpArithmetic) Neg(out, arg *[native.FieldLimbs]uint64) {
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Opp((*MontgomeryDomainFieldElement)(out), (*MontgomeryDomainFieldElement)(arg))
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}
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// Square performs modular square
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func (f k256FpArithmetic) Square(out, arg *[native.FieldLimbs]uint64) {
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Square((*MontgomeryDomainFieldElement)(out), (*MontgomeryDomainFieldElement)(arg))
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}
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// Mul performs modular multiplication
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func (f k256FpArithmetic) Mul(out, arg1, arg2 *[native.FieldLimbs]uint64) {
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Mul(
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(*MontgomeryDomainFieldElement)(out),
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(*MontgomeryDomainFieldElement)(arg1),
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(*MontgomeryDomainFieldElement)(arg2),
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)
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}
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// Add performs modular addition
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func (f k256FpArithmetic) Add(out, arg1, arg2 *[native.FieldLimbs]uint64) {
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Add(
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(*MontgomeryDomainFieldElement)(out),
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(*MontgomeryDomainFieldElement)(arg1),
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(*MontgomeryDomainFieldElement)(arg2),
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)
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}
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// Sub performs modular subtraction
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func (f k256FpArithmetic) Sub(out, arg1, arg2 *[native.FieldLimbs]uint64) {
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Sub(
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(*MontgomeryDomainFieldElement)(out),
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(*MontgomeryDomainFieldElement)(arg1),
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(*MontgomeryDomainFieldElement)(arg2),
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)
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}
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// Sqrt performs modular square root
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func (f k256FpArithmetic) Sqrt(wasSquare *int, out, arg *[native.FieldLimbs]uint64) {
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// p is congruent to 3 mod 4 we can compute
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// sqrt using elem^(p+1)/4 mod p
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// 0x3fffffffffffffffffffffffffffffffffffffffffffffffffffffffbfffff0c
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var s, t [native.FieldLimbs]uint64
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params := getK256FpParams()
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native.Pow(&s, arg, &[native.FieldLimbs]uint64{
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0xffffffffbfffff0c,
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0xffffffffffffffff,
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0xffffffffffffffff,
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0x3fffffffffffffff,
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}, params, f)
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f.Square(&t, &s)
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tv1 := &native.Field{Value: t, Params: params, Arithmetic: f}
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tv2 := &native.Field{Value: *arg, Params: params, Arithmetic: f}
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*wasSquare = tv1.Equal(tv2)
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f.Selectznz(out, out, &s, *wasSquare)
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}
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// Invert performs modular inverse
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func (f k256FpArithmetic) Invert(wasInverted *int, out, arg *[native.FieldLimbs]uint64) {
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// The binary representation of (p - 2) has 5 groups of 1s, with lengths in
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// { 1, 2, 22, 223 }. Use an addition chain to calculate 2^n - 1 for each group:
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// [1], [2], 3, 6, 9, 11, [22], 44, 88, 176, 220, [223]
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var s, x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223 [native.FieldLimbs]uint64
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native.Pow2k(&x2, arg, 1, f)
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f.Mul(&x2, &x2, arg)
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native.Pow2k(&x3, &x2, 1, f)
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f.Mul(&x3, &x3, arg)
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native.Pow2k(&x6, &x3, 3, f)
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f.Mul(&x6, &x6, &x3)
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native.Pow2k(&x9, &x6, 3, f)
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f.Mul(&x9, &x9, &x3)
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native.Pow2k(&x11, &x9, 2, f)
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f.Mul(&x11, &x11, &x2)
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native.Pow2k(&x22, &x11, 11, f)
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f.Mul(&x22, &x22, &x11)
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native.Pow2k(&x44, &x22, 22, f)
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f.Mul(&x44, &x44, &x22)
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native.Pow2k(&x88, &x44, 44, f)
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f.Mul(&x88, &x88, &x44)
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native.Pow2k(&x176, &x88, 88, f)
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f.Mul(&x176, &x176, &x88)
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native.Pow2k(&x220, &x176, 44, f)
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f.Mul(&x220, &x220, &x44)
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native.Pow2k(&x223, &x220, 3, f)
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f.Mul(&x223, &x223, &x3)
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// Use sliding window over the group
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native.Pow2k(&s, &x223, 23, f)
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f.Mul(&s, &s, &x22)
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native.Pow2k(&s, &s, 5, f)
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f.Mul(&s, &s, arg)
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native.Pow2k(&s, &s, 3, f)
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f.Mul(&s, &s, &x2)
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native.Pow2k(&s, &s, 2, f)
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f.Mul(&s, &s, arg)
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tv := &native.Field{Value: *arg, Params: getK256FpParams(), Arithmetic: f}
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*wasInverted = tv.IsNonZero()
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f.Selectznz(out, out, &s, *wasInverted)
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}
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// FromBytes converts a little endian byte array into a field element
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func (f k256FpArithmetic) FromBytes(out *[native.FieldLimbs]uint64, arg *[native.FieldBytes]byte) {
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FromBytes(out, arg)
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}
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// ToBytes converts a field element to a little endian byte array
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func (f k256FpArithmetic) ToBytes(out *[native.FieldBytes]byte, arg *[native.FieldLimbs]uint64) {
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ToBytes(out, arg)
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}
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// Selectznz performs conditional select.
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// selects arg1 if choice == 0 and arg2 if choice == 1
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func (f k256FpArithmetic) Selectznz(out, arg1, arg2 *[native.FieldLimbs]uint64, choice int) {
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Selectznz(out, uint1(choice), arg1, arg2)
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}
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@@ -0,0 +1,330 @@
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//
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// Copyright Coinbase, Inc. All Rights Reserved.
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//
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// SPDX-License-Identifier: Apache-2.0
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//
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package fp
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import (
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crand "crypto/rand"
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"math/big"
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"math/rand"
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"testing"
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"github.com/stretchr/testify/require"
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"github.com/sonr-io/sonr/crypto/core/curves/native"
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"github.com/sonr-io/sonr/crypto/internal"
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)
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func TestFpSetOne(t *testing.T) {
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fp := K256FpNew().SetOne()
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require.NotNil(t, fp)
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require.Equal(t, fp.Value, getK256FpParams().R)
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}
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func TestFpSetUint64(t *testing.T) {
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act := K256FpNew().SetUint64(1 << 60)
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require.NotNil(t, act)
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// Remember it will be in montgomery form
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require.Equal(t, act.Value[0], uint64(0x1000000000000000))
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}
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func TestFpAdd(t *testing.T) {
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lhs := K256FpNew().SetOne()
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rhs := K256FpNew().SetOne()
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exp := K256FpNew().SetUint64(2)
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res := K256FpNew().Add(lhs, rhs)
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require.NotNil(t, res)
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require.Equal(t, res.Equal(exp), 1)
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// Fuzz test
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for i := 0; i < 25; i++ {
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// Divide by 4 to prevent overflow false errors
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l := rand.Uint64() >> 2
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r := rand.Uint64() >> 2
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e := l + r
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lhs.SetUint64(l)
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rhs.SetUint64(r)
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exp.SetUint64(e)
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a := K256FpNew().Add(lhs, rhs)
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require.NotNil(t, a)
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require.Equal(t, exp, a)
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}
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}
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func TestFpSub(t *testing.T) {
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lhs := K256FpNew().SetOne()
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rhs := K256FpNew().SetOne()
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exp := K256FpNew().SetZero()
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res := K256FpNew().Sub(lhs, rhs)
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require.NotNil(t, res)
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require.Equal(t, 1, res.Equal(exp))
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// Fuzz test
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for i := 0; i < 25; i++ {
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// Divide by 4 to prevent overflow false errors
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l := rand.Uint64() >> 2
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r := rand.Uint64() >> 2
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if l < r {
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l, r = r, l
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}
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e := l - r
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lhs.SetUint64(l)
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rhs.SetUint64(r)
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exp.SetUint64(e)
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a := K256FpNew().Sub(lhs, rhs)
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require.NotNil(t, a)
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require.Equal(t, exp, a)
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}
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}
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func TestFpMul(t *testing.T) {
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lhs := K256FpNew().SetOne()
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rhs := K256FpNew().SetOne()
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exp := K256FpNew().SetOne()
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res := K256FpNew().Mul(lhs, rhs)
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require.NotNil(t, res)
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require.Equal(t, 1, res.Equal(exp))
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// Fuzz test
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for i := 0; i < 25; i++ {
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// Divide by 4 to prevent overflow false errors
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l := rand.Uint32()
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r := rand.Uint32()
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e := uint64(l) * uint64(r)
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lhs.SetUint64(uint64(l))
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rhs.SetUint64(uint64(r))
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exp.SetUint64(e)
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a := K256FpNew().Mul(lhs, rhs)
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require.NotNil(t, a)
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require.Equal(t, exp, a)
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}
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}
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func TestFpDouble(t *testing.T) {
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a := K256FpNew().SetUint64(2)
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e := K256FpNew().SetUint64(4)
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require.Equal(t, e, K256FpNew().Double(a))
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for i := 0; i < 25; i++ {
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tv := rand.Uint32()
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ttv := uint64(tv) * 2
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a = K256FpNew().SetUint64(uint64(tv))
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e = K256FpNew().SetUint64(ttv)
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require.Equal(t, e, K256FpNew().Double(a))
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}
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}
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func TestFpSquare(t *testing.T) {
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a := K256FpNew().SetUint64(4)
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e := K256FpNew().SetUint64(16)
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require.Equal(t, e, a.Square(a))
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for i := 0; i < 25; i++ {
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j := rand.Uint32()
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exp := uint64(j) * uint64(j)
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e.SetUint64(exp)
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a.SetUint64(uint64(j))
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require.Equal(t, e, a.Square(a))
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}
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}
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func TestFpNeg(t *testing.T) {
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a := K256FpNew().SetOne()
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a.Neg(a)
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e := K256FpNew().SetRaw(&[native.FieldLimbs]uint64{0xfffffffdfffff85e, 0xffffffffffffffff, 0xffffffffffffffff, 0xffffffffffffffff})
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require.Equal(t, e, a)
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}
|
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|
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func TestFpExp(t *testing.T) {
|
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e := K256FpNew().SetUint64(8)
|
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a := K256FpNew().SetUint64(2)
|
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by := K256FpNew().SetUint64(3)
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require.Equal(t, e, a.Exp(a, by))
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}
|
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|
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func TestFpSqrt(t *testing.T) {
|
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t1 := K256FpNew().SetUint64(2)
|
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t2 := K256FpNew().Neg(t1)
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t3 := K256FpNew().Square(t1)
|
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_, wasSquare := t3.Sqrt(t3)
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require.True(t, wasSquare)
|
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require.Equal(t, 1, t1.Equal(t3)|t2.Equal(t3))
|
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t1.SetUint64(5)
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_, wasSquare = K256FpNew().Sqrt(t1)
|
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require.False(t, wasSquare)
|
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}
|
||||
|
||||
func TestFpInvert(t *testing.T) {
|
||||
twoInv := K256FpNew().SetLimbs(&[native.FieldLimbs]uint64{
|
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0xffffffff7ffffe18,
|
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0xffffffffffffffff,
|
||||
0xffffffffffffffff,
|
||||
0x7fffffffffffffff,
|
||||
})
|
||||
two := K256FpNew().SetUint64(2)
|
||||
a, inverted := K256FpNew().Invert(two)
|
||||
require.True(t, inverted)
|
||||
require.Equal(t, a, twoInv)
|
||||
|
||||
seven := K256FpNew().SetUint64(7)
|
||||
sevenInv := K256FpNew().SetRaw(&[native.FieldLimbs]uint64{0xdb6db6dab6db6afd, 0x6db6db6db6db6db6, 0xb6db6db6db6db6db, 0xdb6db6db6db6db6d})
|
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a, inverted = K256FpNew().Invert(seven)
|
||||
require.True(t, inverted)
|
||||
require.Equal(t, a, sevenInv)
|
||||
|
||||
lhs := K256FpNew().SetUint64(9)
|
||||
rhs := K256FpNew().SetUint64(3)
|
||||
rhsInv, inverted := K256FpNew().Invert(rhs)
|
||||
require.True(t, inverted)
|
||||
require.Equal(t, rhs, K256FpNew().Mul(lhs, rhsInv))
|
||||
|
||||
rhs.SetZero()
|
||||
_, inverted = K256FpNew().Invert(rhs)
|
||||
require.False(t, inverted)
|
||||
}
|
||||
|
||||
func TestFpCMove(t *testing.T) {
|
||||
t1 := K256FpNew().SetUint64(5)
|
||||
t2 := K256FpNew().SetUint64(10)
|
||||
require.Equal(t, t1, K256FpNew().CMove(t1, t2, 0))
|
||||
require.Equal(t, t2, K256FpNew().CMove(t1, t2, 1))
|
||||
}
|
||||
|
||||
func TestFpBytes(t *testing.T) {
|
||||
t1 := K256FpNew().SetUint64(99)
|
||||
seq := t1.Bytes()
|
||||
t2, err := K256FpNew().SetBytes(&seq)
|
||||
require.NoError(t, err)
|
||||
require.Equal(t, t1, t2)
|
||||
|
||||
for i := 0; i < 25; i++ {
|
||||
t1.SetUint64(rand.Uint64())
|
||||
seq = t1.Bytes()
|
||||
_, err = t2.SetBytes(&seq)
|
||||
require.NoError(t, err)
|
||||
require.Equal(t, t1, t2)
|
||||
}
|
||||
}
|
||||
|
||||
func TestFpCmp(t *testing.T) {
|
||||
tests := []struct {
|
||||
a *native.Field
|
||||
b *native.Field
|
||||
e int
|
||||
}{
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{2731658267414164836, 14655288906067898431, 6537465423330262322, 8306191141697566219}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{6472764012681988529, 10848812988401906064, 2961825807536828898, 4282183981941645679}),
|
||||
e: 1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{8023004109510539223, 4652004072850285717, 1877219145646046927, 383214385093921911}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{10099384440823804262, 16139476942229308465, 8636966320777393798, 5435928725024696785}),
|
||||
e: -1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{3741840066202388211, 12165774400417314871, 16619312580230515379, 16195032234110087705}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{3905865991286066744, 543690822309071825, 17963103015950210055, 3745476720756119742}),
|
||||
e: 1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{16660853697936147788, 7799793619412111108, 13515141085171033220, 2641079731236069032}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{17790588295388238399, 571847801379669440, 14537208974498222469, 12792570372087452754}),
|
||||
e: -1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{3912839285384959186, 2701177075110484070, 6453856448115499033, 6475797457962597458}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{1282566391665688512, 13503640416992806563, 2962240104675990153, 3374904770947067689}),
|
||||
e: 1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{5716631803409360103, 7859567470082614154, 12747956220853330146, 18434584096087315020}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{16317076441459028418, 12854146980376319601, 2258436689269031143, 9531877130792223752}),
|
||||
e: 1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{17955191469941083403, 10350326247207200880, 17263512235150705075, 12700328451238078022}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{6767595547459644695, 7146403825494928147, 12269344038346710612, 9122477829383225603}),
|
||||
e: 1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{17099388671847024438, 6426264987820696548, 10641143464957227405, 7709745403700754098}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{10799154372990268556, 17178492485719929374, 5705777922258988797, 8051037767683567782}),
|
||||
e: -1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{4567139260680454325, 1629385880182139061, 16607020832317899145, 1261011562621553200}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{13487234491304534488, 17872642955936089265, 17651026784972590233, 9468934643333871559}),
|
||||
e: -1,
|
||||
},
|
||||
{
|
||||
a: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{18071070103467571798, 11787850505799426140, 10631355976141928593, 4867785203635092610}),
|
||||
b: K256FpNew().SetRaw(&[native.FieldLimbs]uint64{12596443599426461624, 10176122686151524591, 17075755296887483439, 6726169532695070719}),
|
||||
e: -1,
|
||||
},
|
||||
}
|
||||
|
||||
for _, test := range tests {
|
||||
require.Equal(t, test.e, test.a.Cmp(test.b))
|
||||
require.Equal(t, -test.e, test.b.Cmp(test.a))
|
||||
require.Equal(t, 0, test.a.Cmp(test.a))
|
||||
require.Equal(t, 0, test.b.Cmp(test.b))
|
||||
}
|
||||
}
|
||||
|
||||
func TestFpBigInt(t *testing.T) {
|
||||
t1 := K256FpNew().SetBigInt(big.NewInt(9999))
|
||||
t2 := K256FpNew().SetBigInt(t1.BigInt())
|
||||
require.Equal(t, t1, t2)
|
||||
|
||||
e := K256FpNew().SetRaw(&[native.FieldLimbs]uint64{0xc6c6c6c63939371d, 0xc6c6c6c6c6c6c6c6, 0x8d8d8dd28485081d, 0x8484848484848484})
|
||||
b := new(
|
||||
big.Int,
|
||||
).SetBytes([]byte{9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9})
|
||||
t1.SetBigInt(b)
|
||||
require.Equal(t, e, t1)
|
||||
e.Value[0] = 0x39393938c6c6c512
|
||||
e.Value[1] = 0x3939393939393939
|
||||
e.Value[2] = 0x7272722d7b7af7e2
|
||||
e.Value[3] = 0x7b7b7b7b7b7b7b7b
|
||||
b.Neg(b)
|
||||
t1.SetBigInt(b)
|
||||
require.Equal(t, e, t1)
|
||||
}
|
||||
|
||||
func TestFpSetBytesWide(t *testing.T) {
|
||||
e := K256FpNew().SetRaw(&[native.FieldLimbs]uint64{0x6aa784623e2d641e, 0x7c40617d755bae27, 0x206b7be66ed7b71b, 0x6d1e4fc581e19dc2})
|
||||
|
||||
a := K256FpNew().SetBytesWide(&[64]byte{
|
||||
0x69, 0x23, 0x5a, 0x0b, 0xce, 0x0c, 0xa8, 0x64,
|
||||
0x3c, 0x78, 0xbc, 0x01, 0x05, 0xef, 0xf2, 0x84,
|
||||
0xde, 0xbb, 0x6b, 0xc8, 0x63, 0x5e, 0x6e, 0x69,
|
||||
0x62, 0xcc, 0xc6, 0x2d, 0xf5, 0x72, 0x40, 0x92,
|
||||
0x28, 0x11, 0xd6, 0xc8, 0x07, 0xa5, 0x88, 0x82,
|
||||
0xfe, 0xe3, 0x97, 0xf6, 0x1e, 0xfb, 0x2e, 0x3b,
|
||||
0x27, 0x5f, 0x85, 0x06, 0x8d, 0x99, 0xa4, 0x75,
|
||||
0xc0, 0x2c, 0x71, 0x69, 0x9e, 0x58, 0xea, 0x52,
|
||||
})
|
||||
require.Equal(t, e, a)
|
||||
}
|
||||
|
||||
func TestFpSetBytesWideBigInt(t *testing.T) {
|
||||
params := getK256FpParams()
|
||||
var tv2 [64]byte
|
||||
for i := 0; i < 25; i++ {
|
||||
_, _ = crand.Read(tv2[:])
|
||||
e := new(big.Int).SetBytes(tv2[:])
|
||||
e.Mod(e, params.BiModulus)
|
||||
|
||||
tv := internal.ReverseScalarBytes(tv2[:])
|
||||
copy(tv2[:], tv)
|
||||
a := K256FpNew().SetBytesWide(&tv2)
|
||||
require.Equal(t, 0, e.Cmp(a.BigInt()))
|
||||
}
|
||||
}
|
||||
Executable
+1942
File diff suppressed because it is too large
Load Diff
Reference in New Issue
Block a user