91 lines
1.9 KiB
Go
91 lines
1.9 KiB
Go
package gf127
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import (
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"testing"
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"github.com/stretchr/testify/require"
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)
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const maxUint64 = ^uint64(0)
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func TestAdd(t *testing.T) {
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var (
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a = Random()
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b = Random()
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e = &GF127{a[0] ^ b[0], a[1] ^ b[1]}
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c = new(GF127)
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)
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c.Add(a, b)
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require.Equal(t, e, c)
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}
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var testCasesMul = [][3]*GF127{
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// (x+1)*(x^63+x^62+...+1) == x^64+1
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{&GF127{3, 0}, &GF127{maxUint64, 0}, &GF127{1, 1}},
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// x^126 * x^2 == x^128 == x^64 + x
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{&GF127{0, 1 << 62}, &GF127{4, 0}, &GF127{2, 1}},
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// (x^64+x^63+1) * (x^64+x) == x^128+x^65+x^127+x^64+x^64+x == x^65+x^64+x^63+1
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{&GF127{1 + 1<<63, 1}, &GF127{2, 1}, &GF127{0x8000000000000001, 3}},
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}
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func TestMul(t *testing.T) {
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c := new(GF127)
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for _, tc := range testCasesMul {
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Mul(tc[0], tc[1], c)
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require.Equal(t, tc[2], c)
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}
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}
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var testCasesMul10 = [][2]*GF127{
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{&GF127{123, 0}, &GF127{246, 0}},
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{&GF127{maxUint64, 2}, &GF127{maxUint64 - 1, 5}},
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{&GF127{0, maxUint64 >> 1}, &GF127{1 + 1<<63, maxUint64>>1 - 1}},
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}
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func TestMul10(t *testing.T) {
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c := new(GF127)
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for _, tc := range testCasesMul10 {
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Mul10(tc[0], c)
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require.Equal(t, tc[1], c)
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}
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}
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var testCasesMul11 = [][2]*GF127{
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{&GF127{123, 0}, &GF127{141, 0}},
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{&GF127{maxUint64, 2}, &GF127{1, 7}},
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{&GF127{0, maxUint64 >> 1}, &GF127{1 + 1<<63, 1}},
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}
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func TestMul11(t *testing.T) {
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c := new(GF127)
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for _, tc := range testCasesMul11 {
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Mul11(tc[0], c)
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require.Equal(t, tc[1], c)
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}
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}
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var testCasesInv = [][2]*GF127{
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{&GF127{1, 0}, &GF127{1, 0}},
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{&GF127{3, 0}, &GF127{msb64, ^msb64}},
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{&GF127{54321, 12345}, &GF127{8230555108620784737, 3929873967650665114}},
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}
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func TestInv(t *testing.T) {
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var a, b, c = new(GF127), new(GF127), new(GF127)
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for _, tc := range testCasesInv {
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Inv(tc[0], c)
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require.Equal(t, tc[1], c)
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}
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for i := 0; i < 3; i++ {
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// 0 has no inverse
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if a = Random(); a.Equals(&GF127{0, 0}) {
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continue
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}
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Inv(a, b)
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Mul(a, b, c)
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require.Equal(t, &GF127{1, 0}, c)
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}
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}
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