126 lines
7.1 KiB
V
126 lines
7.1 KiB
V
module edwards25519
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import encoding.hex
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const zero_point = Point{fe_zero, fe_zero, fe_zero, fe_zero}
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fn test_invalid_encodings() ? {
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// An invalid point, that also happens to have y > p.
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invalid := 'efffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f'
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inv_bytes := hex.decode(invalid) or { panic(err) }
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mut p := new_generator_point()
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out := p.set_bytes(inv_bytes) or { edwards25519.zero_point }
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assert out == edwards25519.zero_point
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// assert p.equal(bgp) == 1 //not makes sense when error
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assert check_on_curve(p) == true
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}
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fn test_add_sub_neg_on_basepoint() ? {
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bgp := new_generator_point()
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mut idp := new_identity_point()
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mut checklhs := Point{}
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mut checkrhs := Point{}
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checklhs.add(bgp, bgp)
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mut proj_p1 := ProjectiveP1{}
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mut proj_p2 := ProjectiveP2{}
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tmp_p2 := proj_p2.from_p3(bgp)
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tmp_p1 := proj_p1.double(tmp_p2)
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checkrhs.from_p1(tmp_p1)
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assert checklhs.equal(checkrhs) == 1
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assert check_on_curve(checklhs, checkrhs) == true
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checklhs.subtract(bgp, bgp)
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mut p0 := Point{}
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bneg := p0.negate(bgp)
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checkrhs.add(bgp, bneg)
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assert checklhs.equal(checkrhs) == 1
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assert idp.equal(checklhs) == 1
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assert idp.equal(checkrhs) == 1
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assert check_on_curve(checklhs, checkrhs, bneg) == true
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}
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struct NonCanonicalTest {
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name string
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encoding string
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canonical string
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}
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fn test_non_canonical_points() ? {
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tests := [
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// Points with x = 0 and the sign bit set. With x = 0 the curve equation
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// gives y² = 1, so y = ±1. 1 has two valid encodings.
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NonCanonicalTest{'y=1,sign-', '0100000000000000000000000000000000000000000000000000000000000080', '0100000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+1,sign-', 'eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0100000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p-1,sign-', 'ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', 'ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f'},
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// Non-canonical y encodings with values 2²⁵⁵-19 (p) to 2²⁵⁵-1 (p+18).
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NonCanonicalTest{'y=p,sign+', 'edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0000000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p,sign-', 'edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0000000000000000000000000000000000000000000000000000000000000080'},
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NonCanonicalTest{'y=p+1,sign+', 'eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0100000000000000000000000000000000000000000000000000000000000000'},
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// "y=p+1,sign-" is already tested above.
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// p+2 is not a valid y-coordinate.
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NonCanonicalTest{'y=p+3,sign+', 'f0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0300000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+3,sign-', 'f0ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0300000000000000000000000000000000000000000000000000000000000080'},
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NonCanonicalTest{'y=p+4,sign+', 'f1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0400000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+4,sign-', 'f1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0400000000000000000000000000000000000000000000000000000000000080'},
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NonCanonicalTest{'y=p+5,sign+', 'f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0500000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+5,sign-', 'f2ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0500000000000000000000000000000000000000000000000000000000000080'},
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NonCanonicalTest{'y=p+6,sign+', 'f3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0600000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+6,sign-', 'f3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0600000000000000000000000000000000000000000000000000000000000080'},
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// p+7 is not a valid y-coordinate.
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// p+8 is not a valid y-coordinate.
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NonCanonicalTest{'y=p+9,sign+', 'f6ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0900000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+9,sign-', 'f6ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0900000000000000000000000000000000000000000000000000000000000080'},
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NonCanonicalTest{'y=p+10,sign+', 'f7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0a00000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+10,sign-', 'f7ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0a00000000000000000000000000000000000000000000000000000000000080'},
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// p+11 is not a valid y-coordinate.
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// p+12 is not a valid y-coordinate.
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// p+13 is not a valid y-coordinate.
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NonCanonicalTest{'y=p+14,sign+', 'fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0e00000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+14,sign-', 'fbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0e00000000000000000000000000000000000000000000000000000000000080'},
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NonCanonicalTest{'y=p+15,sign+', 'fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '0f00000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+15,sign-', 'fcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '0f00000000000000000000000000000000000000000000000000000000000080'},
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NonCanonicalTest{'y=p+16,sign+', 'fdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '1000000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+16,sign-', 'fdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '1000000000000000000000000000000000000000000000000000000000000080'},
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// p+17 is not a valid y-coordinate.
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NonCanonicalTest{'y=p+18,sign+', 'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', '1200000000000000000000000000000000000000000000000000000000000000'},
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NonCanonicalTest{'y=p+18,sign-', 'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', '1200000000000000000000000000000000000000000000000000000000000080'},
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]
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for tt in tests {
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// t.Run(tt.name, func(t *testing.T) {
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// p1, err := new(Point).SetBytes(decodeHex(tt.encoding))
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mut p1 := Point{}
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p1.set_bytes(hex.decode(tt.encoding)?)?
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// p2, err := new(Point).SetBytes(decodeHex(tt.canonical))
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mut p2 := Point{}
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p2.set_bytes(hex.decode(tt.canonical)?)?
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assert p1.equal(p2) == 1
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assert p1.bytes() == p2.bytes()
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assert hex.encode(p1.bytes()) == tt.canonical // NEED FIX!
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assert check_on_curve(p1, p2) == true
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}
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}
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fn test_generator() {
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// These are the coordinates of B from RFC 8032, Section 5.1, converted to
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// little endian hex.
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x := '1ad5258f602d56c9b2a7259560c72c695cdcd6fd31e2a4c0fe536ecdd3366921'
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y := '5866666666666666666666666666666666666666666666666666666666666666'
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mut b := new_generator_point()
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assert hex.encode(b.x.bytes()) == x
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assert hex.encode(b.y.bytes()) == y
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assert b.z.equal(fe_one) == 1
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// Check that t is correct.
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assert check_on_curve(b) == true
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}
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