mirror of https://github.com/octoleo/restic.git
425 lines
7.1 KiB
Go
425 lines
7.1 KiB
Go
package chunker
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import (
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"strconv"
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"testing"
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)
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var polAddTests = []struct {
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x, y Pol
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sum Pol
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}{
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{23, 16, 23 ^ 16},
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{0x9a7e30d1e855e0a0, 0x670102a1f4bcd414, 0xfd7f32701ce934b4},
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{0x9a7e30d1e855e0a0, 0x9a7e30d1e855e0a0, 0},
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}
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func TestPolAdd(t *testing.T) {
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for i, test := range polAddTests {
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if test.sum != test.x.Add(test.y) {
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t.Errorf("test %d failed: sum != x+y", i)
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}
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if test.sum != test.y.Add(test.x) {
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t.Errorf("test %d failed: sum != y+x", i)
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}
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}
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}
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func parseBin(s string) Pol {
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i, err := strconv.ParseUint(s, 2, 64)
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if err != nil {
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panic(err)
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}
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return Pol(i)
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}
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var polMulTests = []struct {
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x, y Pol
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res Pol
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}{
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{1, 2, 2},
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{
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parseBin("1101"),
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parseBin("10"),
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parseBin("11010"),
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},
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{
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parseBin("1101"),
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parseBin("11"),
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parseBin("10111"),
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},
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{
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0x40000000,
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0x40000000,
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0x1000000000000000,
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},
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{
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parseBin("1010"),
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parseBin("100100"),
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parseBin("101101000"),
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},
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{
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parseBin("100"),
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parseBin("11"),
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parseBin("1100"),
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},
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{
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parseBin("11"),
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parseBin("110101"),
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parseBin("1011111"),
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},
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{
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parseBin("10011"),
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parseBin("110101"),
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parseBin("1100001111"),
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},
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}
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func TestPolMul(t *testing.T) {
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for i, test := range polMulTests {
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m := test.x.Mul(test.y)
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if test.res != m {
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t.Errorf("TestPolMul failed for test %d: %v * %v: want %v, got %v",
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i, test.x, test.y, test.res, m)
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}
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m = test.y.Mul(test.x)
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if test.res != test.y.Mul(test.x) {
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t.Errorf("TestPolMul failed for %d: %v * %v: want %v, got %v",
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i, test.x, test.y, test.res, m)
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}
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}
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}
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func TestPolMulOverflow(t *testing.T) {
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defer func() {
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// try to recover overflow error
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err := recover()
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if e, ok := err.(string); ok && e == "multiplication would overflow uint64" {
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return
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}
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t.Logf("invalid error raised: %v", err)
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// re-raise error if not overflow
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panic(err)
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}()
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x := Pol(1 << 63)
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x.Mul(2)
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t.Fatal("overflow test did not panic")
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}
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var polDivTests = []struct {
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x, y Pol
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res Pol
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}{
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{10, 50, 0},
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{0, 1, 0},
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{
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parseBin("101101000"), // 0x168
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parseBin("1010"), // 0xa
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parseBin("100100"), // 0x24
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},
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{2, 2, 1},
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{
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0x8000000000000000,
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0x8000000000000000,
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1,
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},
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{
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parseBin("1100"),
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parseBin("100"),
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parseBin("11"),
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},
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{
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parseBin("1100001111"),
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parseBin("10011"),
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parseBin("110101"),
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},
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}
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func TestPolDiv(t *testing.T) {
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for i, test := range polDivTests {
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m := test.x.Div(test.y)
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if test.res != m {
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t.Errorf("TestPolDiv failed for test %d: %v * %v: want %v, got %v",
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i, test.x, test.y, test.res, m)
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}
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}
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}
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func TestPolDeg(t *testing.T) {
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var x Pol
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if x.Deg() != -1 {
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t.Errorf("deg(0) is not -1: %v", x.Deg())
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}
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x = 1
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if x.Deg() != 0 {
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t.Errorf("deg(1) is not 0: %v", x.Deg())
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}
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for i := 0; i < 64; i++ {
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x = 1 << uint(i)
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if x.Deg() != i {
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t.Errorf("deg(1<<%d) is not %d: %v", i, i, x.Deg())
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}
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}
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}
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var polModTests = []struct {
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x, y Pol
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res Pol
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}{
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{10, 50, 10},
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{0, 1, 0},
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{
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parseBin("101101001"),
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parseBin("1010"),
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parseBin("1"),
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},
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{2, 2, 0},
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{
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0x8000000000000000,
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0x8000000000000000,
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0,
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},
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{
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parseBin("1100"),
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parseBin("100"),
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parseBin("0"),
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},
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{
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parseBin("1100001111"),
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parseBin("10011"),
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parseBin("0"),
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},
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}
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func TestPolModt(t *testing.T) {
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for i, test := range polModTests {
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res := test.x.Mod(test.y)
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if test.res != res {
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t.Errorf("test %d failed: want %v, got %v", i, test.res, res)
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}
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}
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}
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func BenchmarkPolDivMod(t *testing.B) {
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f := Pol(0x2482734cacca49)
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g := Pol(0x3af4b284899)
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for i := 0; i < t.N; i++ {
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g.DivMod(f)
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}
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}
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func BenchmarkPolDiv(t *testing.B) {
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f := Pol(0x2482734cacca49)
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g := Pol(0x3af4b284899)
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for i := 0; i < t.N; i++ {
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g.Div(f)
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}
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}
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func BenchmarkPolMod(t *testing.B) {
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f := Pol(0x2482734cacca49)
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g := Pol(0x3af4b284899)
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for i := 0; i < t.N; i++ {
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g.Mod(f)
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}
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}
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func BenchmarkPolDeg(t *testing.B) {
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f := Pol(0x3af4b284899)
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d := f.Deg()
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if d != 41 {
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t.Fatalf("BenchmalPolDeg: Wrong degree %d returned, expected %d",
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d, 41)
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}
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for i := 0; i < t.N; i++ {
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f.Deg()
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}
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}
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func TestRandomPolynomial(t *testing.T) {
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_, err := RandomPolynomial()
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if err != nil {
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t.Fatal(err)
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}
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}
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func BenchmarkRandomPolynomial(t *testing.B) {
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for i := 0; i < t.N; i++ {
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_, err := RandomPolynomial()
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if err != nil {
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t.Fatal(err)
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}
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}
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}
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func TestExpandPolynomial(t *testing.T) {
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pol := Pol(0x3DA3358B4DC173)
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s := pol.Expand()
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if s != "x^53+x^52+x^51+x^50+x^48+x^47+x^45+x^41+x^40+x^37+x^36+x^34+x^32+x^31+x^27+x^25+x^24+x^22+x^19+x^18+x^16+x^15+x^14+x^8+x^6+x^5+x^4+x+1" {
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t.Fatal("wrong result")
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}
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}
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var polIrredTests = []struct {
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f Pol
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irred bool
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}{
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{0x38f1e565e288df, false},
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{0x3DA3358B4DC173, true},
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{0x30a8295b9d5c91, false},
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{0x255f4350b962cb, false},
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{0x267f776110a235, false},
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{0x2f4dae10d41227, false},
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{0x2482734cacca49, true},
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{0x312daf4b284899, false},
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{0x29dfb6553d01d1, false},
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{0x3548245eb26257, false},
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{0x3199e7ef4211b3, false},
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{0x362f39017dae8b, false},
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{0x200d57aa6fdacb, false},
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{0x35e0a4efa1d275, false},
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{0x2ced55b026577f, false},
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{0x260b012010893d, false},
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{0x2df29cbcd59e9d, false},
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{0x3f2ac7488bd429, false},
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{0x3e5cb1711669fb, false},
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{0x226d8de57a9959, false},
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{0x3c8de80aaf5835, false},
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{0x2026a59efb219b, false},
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{0x39dfa4d13fb231, false},
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{0x3143d0464b3299, false},
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}
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func TestPolIrreducible(t *testing.T) {
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for _, test := range polIrredTests {
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if test.f.Irreducible() != test.irred {
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t.Errorf("Irreducibility test for Polynomial %v failed: got %v, wanted %v",
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test.f, test.f.Irreducible(), test.irred)
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}
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}
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}
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func BenchmarkPolIrreducible(b *testing.B) {
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// find first irreducible polynomial
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var pol Pol
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for _, test := range polIrredTests {
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if test.irred {
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pol = test.f
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break
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}
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}
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for i := 0; i < b.N; i++ {
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if !pol.Irreducible() {
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b.Errorf("Irreducibility test for Polynomial %v failed", pol)
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}
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}
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}
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var polGCDTests = []struct {
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f1 Pol
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f2 Pol
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gcd Pol
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}{
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{10, 50, 2},
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{0, 1, 1},
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{
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parseBin("101101001"),
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parseBin("1010"),
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parseBin("1"),
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},
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{2, 2, 2},
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{
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parseBin("1010"),
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parseBin("11"),
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parseBin("11"),
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},
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{
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0x8000000000000000,
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0x8000000000000000,
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0x8000000000000000,
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},
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{
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parseBin("1100"),
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parseBin("101"),
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parseBin("11"),
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},
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{
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parseBin("1100001111"),
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parseBin("10011"),
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parseBin("10011"),
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},
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{
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0x3DA3358B4DC173,
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0x3DA3358B4DC173,
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0x3DA3358B4DC173,
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},
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{
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0x3DA3358B4DC173,
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0x230d2259defd,
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1,
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},
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{
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0x230d2259defd,
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0x51b492b3eff2,
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parseBin("10011"),
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},
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}
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func TestPolGCD(t *testing.T) {
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for i, test := range polGCDTests {
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gcd := test.f1.GCD(test.f2)
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if test.gcd != gcd {
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t.Errorf("GCD test %d (%+v) failed: got %v, wanted %v",
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i, test, gcd, test.gcd)
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}
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gcd = test.f2.GCD(test.f1)
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if test.gcd != gcd {
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t.Errorf("GCD test %d (%+v) failed: got %v, wanted %v",
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i, test, gcd, test.gcd)
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}
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}
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}
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var polMulModTests = []struct {
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f1 Pol
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f2 Pol
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g Pol
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mod Pol
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}{
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{
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0x1230,
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0x230,
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0x55,
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0x22,
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},
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{
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0x0eae8c07dbbb3026,
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0xd5d6db9de04771de,
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0xdd2bda3b77c9,
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0x425ae8595b7a,
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},
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}
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func TestPolMulMod(t *testing.T) {
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for i, test := range polMulModTests {
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mod := test.f1.MulMod(test.f2, test.g)
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if mod != test.mod {
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t.Errorf("MulMod test %d (%+v) failed: got %v, wanted %v",
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i, test, mod, test.mod)
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}
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}
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}
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