2024-08-23 14:42:49 +08:00
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//go:build s390x && !purego
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package sm2ec
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import (
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2024-08-23 16:50:23 +08:00
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"crypto/rand"
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"io"
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2024-08-23 14:42:49 +08:00
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"math/big"
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"testing"
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"time"
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2024-08-23 14:42:49 +08:00
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)
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var bigOne = big.NewInt(1)
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// fromBig converts a *big.Int into a format used by this code.
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func fromBig(out *[4]uint64, big *big.Int) {
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for i := range out {
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out[i] = 0
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}
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for i, v := range big.Bits() {
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out[i] = uint64(v)
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}
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}
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func montFromBig(out *[4]uint64, n *big.Int) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF", 16)
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r := new(big.Int).Lsh(bigOne, 256)
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// out = big * R mod P
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outBig := new(big.Int).Mul(n, r)
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outBig.Mod(outBig, p)
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fromBig(out, outBig)
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}
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func toBigInt(in *p256Element) *big.Int {
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var valBytes [32]byte
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p256LittleToBig(&valBytes, in)
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return new(big.Int).SetBytes(valBytes[:])
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}
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func ordElmToBigInt(in *p256OrdElement) *big.Int {
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var valBytes [32]byte
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p256OrdLittleToBig(&valBytes, in)
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return new(big.Int).SetBytes(valBytes[:])
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}
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func testP256FromMont(v *big.Int, t *testing.T) {
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val := new(p256Element)
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montFromBig((*[4]uint64)(val), v)
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res := new(p256Element)
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p256FromMont(res, val)
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if toBigInt(res).Cmp(v) != 0 {
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2024-08-23 15:29:36 +08:00
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t.Errorf("p256FromMont failed for %x", v.Bytes())
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}
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}
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func TestP256FromMont(t *testing.T) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF", 16)
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for i := 0; i < 20; i++ {
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bigVal := big.NewInt(int64(i))
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testP256FromMont(bigVal, t)
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if i != 0 {
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bigVal = new(big.Int).Sub(p, big.NewInt(int64(i)))
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testP256FromMont(bigVal, t)
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}
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2024-08-23 14:42:49 +08:00
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}
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}
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2024-08-23 15:25:42 +08:00
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func testP256OrderReduce(v, expected *big.Int, t *testing.T) {
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val := new(p256OrdElement)
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fromBig((*[4]uint64)(val), v)
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p256OrdReduce(val)
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if ordElmToBigInt(val).Cmp(expected) != 0 {
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t.Errorf("p256OrdReduce failed for %x, expected %x", v.Bytes(), expected.Bytes())
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}
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}
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func TestP256OrderReduce(t *testing.T) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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for i := 0; i < 20; i++ {
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bigVal := big.NewInt(int64(i))
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testP256OrderReduce(bigVal, bigVal, t)
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bigVal = new(big.Int).Add(p, big.NewInt(int64(i)))
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testP256OrderReduce(bigVal, big.NewInt(int64(i)), t)
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}
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testP256OrderReduce(p, big.NewInt(0), t)
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for i := 1; i < 20; i++ {
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bigVal := new(big.Int).Sub(p, big.NewInt(int64(i)))
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testP256OrderReduce(bigVal, bigVal, t)
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}
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}
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func p256OrderFromMont(in *p256OrdElement) []byte {
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// Montgomery multiplication by R⁻¹, or 1 outside the domain as R⁻¹×R = 1,
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// converts a Montgomery value out of the domain.
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one := &p256OrdElement{1}
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p256OrdMul(in, in, one)
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var xOut [32]byte
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p256OrdLittleToBig(&xOut, in)
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return xOut[:]
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}
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func p256OrdMulTest(t *testing.T, x, y, p, r *big.Int) {
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x1 := new(big.Int).Mul(x, r)
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x1 = x1.Mod(x1, p)
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y1 := new(big.Int).Mul(y, r)
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y1 = y1.Mod(y1, p)
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ax := new(p256OrdElement)
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ay := new(p256OrdElement)
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res2 := new(p256OrdElement)
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fromBig((*[4]uint64)(ax), x1)
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fromBig((*[4]uint64)(ay), y1)
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p256OrdMul(res2, ax, ay)
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resInt := new(big.Int).SetBytes(p256OrderFromMont(res2))
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expected := new(big.Int).Mul(x, y)
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expected = expected.Mod(expected, p)
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if resInt.Cmp(expected) != 0 {
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t.FailNow()
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}
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}
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func TestP256OrdMulOrdMinus1(t *testing.T) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
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pMinus1 := new(big.Int).Sub(p, big.NewInt(1))
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p256OrdMulTest(t, pMinus1, pMinus1, p, r)
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}
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func TestFuzzyP256OrdMul(t *testing.T) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
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var scalar1 [32]byte
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var scalar2 [32]byte
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var timeout *time.Timer
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if testing.Short() {
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timeout = time.NewTimer(10 * time.Millisecond)
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} else {
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timeout = time.NewTimer(2 * time.Second)
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}
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for {
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select {
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case <-timeout.C:
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return
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default:
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}
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io.ReadFull(rand.Reader, scalar1[:])
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io.ReadFull(rand.Reader, scalar2[:])
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x := new(big.Int).SetBytes(scalar1[:])
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y := new(big.Int).SetBytes(scalar2[:])
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p256OrdMulTest(t, x, y, p, r)
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}
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}
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