2022-02-15 20:28:14 +01:00
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module edwards25519
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import os
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import rand
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import encoding.hex
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const github_job = os.getenv('GITHUB_JOB')
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fn testsuite_begin() {
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if edwards25519.github_job != '' {
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// ensure that the CI does not run flaky tests:
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rand.seed([u32(0xffff24), 0xabcd])
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}
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}
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// test_bytes_montgomery tests the set_bytes_with_clamping+bytes_montgomery path
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// equivalence to curve25519.X25519 for basepoint scalar multiplications.
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//
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// Note that you can't actually implement X25519 with this package because
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// there is no SetBytesMontgomery, and it would not be possible to implement
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// it properly: points on the twist would get rejected, and the Scalar returned
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// by set_bytes_with_clamping does not preserve its cofactor-clearing properties.
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//
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// Disabled curve25519 not available yet, but maybe can use own curve25519
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/*
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2022-04-15 17:35:56 +02:00
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fn fn_mon(scalar [32]u8) bool {
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2022-02-15 20:28:14 +01:00
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mut s := new_scalar().set_bytes_with_clamping(scalar[..])
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p := (&Point{}).scalar_base_mult(s)
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got := p.bytes_montgomery()
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want, _ := curve25519.X25519(scalar[..], curve25519.Basepoint)
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return bytes.equal(got, want)
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}
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fn test_bytes_montgomery() {
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2022-04-15 17:35:56 +02:00
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/* f := fn(scalar [32]u8) bool {
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2022-02-15 20:28:14 +01:00
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s := new_scalar().set_bytes_with_clamping(scalar[..])
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p := (&Point{}).scalar_base_mult(s)
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got := p.bytes_montgomery()
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want, _ := curve25519.X25519(scalar[..], curve25519.Basepoint)
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return bytes.equal(got, want)
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} */
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if err := quick.Check(f, nil); err != nil {
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t.Error(err)
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}
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}*/
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fn test_bytes_montgomery_sodium() ? {
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// Generated with libsodium.js 1.0.18
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// crypto_sign_keypair().pubkey
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pubkey := '3bf918ffc2c955dc895bf145f566fb96623c1cadbe040091175764b5fde322c0'
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mut p := Point{}
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2022-05-13 05:56:21 +02:00
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p.set_bytes(hex.decode(pubkey)?)?
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2022-02-15 20:28:14 +01:00
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// crypto_sign_ed25519_pk_to_curve25519(pubkey)
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want := 'efc6c9d0738e9ea18d738ad4a2653631558931b0f1fde4dd58c436d19686dc28'
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got := hex.encode(p.bytes_montgomery())
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assert got == want
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}
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fn test_bytes_montgomery_infinity() {
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mut p := new_identity_point()
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want := '0000000000000000000000000000000000000000000000000000000000000000'
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got := hex.encode(p.bytes_montgomery())
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assert got == want
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}
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const (
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loworder_string = '26e8958fc2b227b045c3f489f2ef98f0d5dfac05d3c63339b13802886d53fc85'
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2022-04-12 12:38:40 +02:00
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loworder_bytes = hex.decode(loworder_string) or { panic(err) }
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2022-02-15 20:28:14 +01:00
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)
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2022-04-15 14:35:35 +02:00
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fn fn_cofactor(mut data []u8) bool {
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2022-02-15 20:28:14 +01:00
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if data.len != 64 {
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panic('data.len should be 64')
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2022-02-15 20:28:14 +01:00
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}
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mut loworder := Point{}
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2022-04-12 12:38:40 +02:00
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loworder.set_bytes(edwards25519.loworder_bytes) or { panic(err) }
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2022-02-15 20:28:14 +01:00
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mut s := new_scalar()
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mut p := Point{}
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mut p8 := Point{}
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2022-04-12 12:38:40 +02:00
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s.set_uniform_bytes(data) or { panic(err) }
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2022-02-15 20:28:14 +01:00
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p.scalar_base_mult(mut s)
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p8.mult_by_cofactor(p)
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assert check_on_curve(p8) == true
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// 8 * p == (8 * s) * B
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mut sc := Scalar{
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2022-04-15 17:35:56 +02:00
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s: [32]u8{}
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2022-02-15 20:28:14 +01:00
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}
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2022-04-15 13:58:56 +02:00
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sc.s[0] = u8(0x08)
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2022-02-15 20:28:14 +01:00
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s.multiply(s, sc)
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mut pp := Point{}
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pp.scalar_base_mult(mut s)
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if p8.equal(pp) != 1 {
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return false
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}
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// 8 * p == 8 * (loworder + p)
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pp.add(p, loworder)
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pp.mult_by_cofactor(pp)
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if p8.equal(pp) != 1 {
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return false
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}
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// 8 * p == p + p + p + p + p + p + p + p
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pp.set(new_identity_point())
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for i := 0; i < 8; i++ {
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pp.add(pp, p)
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}
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return p8.equal(pp) == 1
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}
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fn test_mult_by_cofactor() ? {
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mut loworder := Point{}
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2022-05-13 05:56:21 +02:00
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mut data := rand.bytes(64)?
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2022-02-15 20:28:14 +01:00
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assert fn_cofactor(mut data) == true
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}
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fn invert_works(mut xinv Scalar, x NotZeroScalar) bool {
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xinv.invert(x)
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mut check := Scalar{}
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check.multiply(x, xinv)
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return check == sc_one && is_reduced(xinv)
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}
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fn test_scalar_invert() {
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nsc := generate_notzero_scalar(5) or { panic(err) }
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mut xsc := generate_scalar(5) or { panic(err) }
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2022-02-15 20:28:14 +01:00
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assert invert_works(mut xsc, nsc) == true
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mut zero := new_scalar()
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mut xx := new_scalar()
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xx.invert(zero)
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assert xx.equal(zero) == 1
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}
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fn test_multiscalarmultmatchesbasemult() {
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for i in 0 .. 6 {
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2022-04-12 12:38:40 +02:00
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x := generate_scalar(100) or { panic(err) }
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y := generate_scalar(5) or { panic(err) }
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z := generate_scalar(2) or { panic(err) }
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2022-02-15 20:28:14 +01:00
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assert multiscalarmultmatchesbasemult(x, y, z) == true
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}
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}
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fn multiscalarmultmatchesbasemult(xx Scalar, yy Scalar, zz Scalar) bool {
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mut x := xx
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mut y := yy
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mut z := zz
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mut p := Point{}
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mut q1 := Point{}
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mut q2 := Point{}
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mut q3 := Point{}
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mut check := Point{}
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mut b := new_generator_point()
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p.multi_scalar_mult([x, y, z], [b, b, b])
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q1.scalar_base_mult(mut x)
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q2.scalar_base_mult(mut y)
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q3.scalar_base_mult(mut z)
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check.add(q1, q2)
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check.add(check, q3)
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check_on_curve(p, check, q1, q2, q3)
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return p.equal(check) == 1
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}
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fn vartime_multiscala_rmultmatches_basemult(xx Scalar, yy Scalar, zz Scalar) bool {
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mut x := xx
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mut y := yy
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mut z := zz
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mut p := Point{}
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mut q1 := Point{}
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mut q2 := Point{}
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mut q3 := Point{}
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mut check := Point{}
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mut b := new_generator_point()
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p.vartime_multiscalar_mult([x, y, z], [b, b, b])
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q1.scalar_base_mult(mut x)
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q2.scalar_base_mult(mut y)
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q3.scalar_base_mult(mut z)
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check.add(q1, q2)
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check.add(check, q3)
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check_on_curve(p, check, q1, q2, q3)
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return p.equal(check) == 1
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}
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fn test_vartimemultiscalarmultmatchesbasemult() {
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for i in 0 .. 5 {
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2022-04-12 12:38:40 +02:00
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x := generate_scalar(100) or { panic(err) }
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y := generate_scalar(5) or { panic(err) }
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z := generate_scalar(2) or { panic(err) }
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2022-02-15 20:28:14 +01:00
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assert vartime_multiscala_rmultmatches_basemult(x, y, z) == true
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}
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}
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