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-rwxr-xr-xsrc/pkg/big/int_test.go1372
1 files changed, 0 insertions, 1372 deletions
diff --git a/src/pkg/big/int_test.go b/src/pkg/big/int_test.go
deleted file mode 100755
index 7f33c9522..000000000
--- a/src/pkg/big/int_test.go
+++ /dev/null
@@ -1,1372 +0,0 @@
-// Copyright 2009 The Go Authors. All rights reserved.
-// Use of this source code is governed by a BSD-style
-// license that can be found in the LICENSE file.
-
-package big
-
-import (
- "bytes"
- "encoding/hex"
- "fmt"
- "gob"
- "testing"
- "testing/quick"
-)
-
-
-func isNormalized(x *Int) bool {
- if len(x.abs) == 0 {
- return !x.neg
- }
- // len(x.abs) > 0
- return x.abs[len(x.abs)-1] != 0
-}
-
-
-type funZZ func(z, x, y *Int) *Int
-type argZZ struct {
- z, x, y *Int
-}
-
-
-var sumZZ = []argZZ{
- {NewInt(0), NewInt(0), NewInt(0)},
- {NewInt(1), NewInt(1), NewInt(0)},
- {NewInt(1111111110), NewInt(123456789), NewInt(987654321)},
- {NewInt(-1), NewInt(-1), NewInt(0)},
- {NewInt(864197532), NewInt(-123456789), NewInt(987654321)},
- {NewInt(-1111111110), NewInt(-123456789), NewInt(-987654321)},
-}
-
-
-var prodZZ = []argZZ{
- {NewInt(0), NewInt(0), NewInt(0)},
- {NewInt(0), NewInt(1), NewInt(0)},
- {NewInt(1), NewInt(1), NewInt(1)},
- {NewInt(-991 * 991), NewInt(991), NewInt(-991)},
- // TODO(gri) add larger products
-}
-
-
-func TestSignZ(t *testing.T) {
- var zero Int
- for _, a := range sumZZ {
- s := a.z.Sign()
- e := a.z.Cmp(&zero)
- if s != e {
- t.Errorf("got %d; want %d for z = %v", s, e, a.z)
- }
- }
-}
-
-
-func TestSetZ(t *testing.T) {
- for _, a := range sumZZ {
- var z Int
- z.Set(a.z)
- if !isNormalized(&z) {
- t.Errorf("%v is not normalized", z)
- }
- if (&z).Cmp(a.z) != 0 {
- t.Errorf("got z = %v; want %v", z, a.z)
- }
- }
-}
-
-
-func TestAbsZ(t *testing.T) {
- var zero Int
- for _, a := range sumZZ {
- var z Int
- z.Abs(a.z)
- var e Int
- e.Set(a.z)
- if e.Cmp(&zero) < 0 {
- e.Sub(&zero, &e)
- }
- if z.Cmp(&e) != 0 {
- t.Errorf("got z = %v; want %v", z, e)
- }
- }
-}
-
-
-func testFunZZ(t *testing.T, msg string, f funZZ, a argZZ) {
- var z Int
- f(&z, a.x, a.y)
- if !isNormalized(&z) {
- t.Errorf("%s%v is not normalized", z, msg)
- }
- if (&z).Cmp(a.z) != 0 {
- t.Errorf("%s%+v\n\tgot z = %v; want %v", msg, a, &z, a.z)
- }
-}
-
-
-func TestSumZZ(t *testing.T) {
- AddZZ := func(z, x, y *Int) *Int { return z.Add(x, y) }
- SubZZ := func(z, x, y *Int) *Int { return z.Sub(x, y) }
- for _, a := range sumZZ {
- arg := a
- testFunZZ(t, "AddZZ", AddZZ, arg)
-
- arg = argZZ{a.z, a.y, a.x}
- testFunZZ(t, "AddZZ symmetric", AddZZ, arg)
-
- arg = argZZ{a.x, a.z, a.y}
- testFunZZ(t, "SubZZ", SubZZ, arg)
-
- arg = argZZ{a.y, a.z, a.x}
- testFunZZ(t, "SubZZ symmetric", SubZZ, arg)
- }
-}
-
-
-func TestProdZZ(t *testing.T) {
- MulZZ := func(z, x, y *Int) *Int { return z.Mul(x, y) }
- for _, a := range prodZZ {
- arg := a
- testFunZZ(t, "MulZZ", MulZZ, arg)
-
- arg = argZZ{a.z, a.y, a.x}
- testFunZZ(t, "MulZZ symmetric", MulZZ, arg)
- }
-}
-
-
-// mulBytes returns x*y via grade school multiplication. Both inputs
-// and the result are assumed to be in big-endian representation (to
-// match the semantics of Int.Bytes and Int.SetBytes).
-func mulBytes(x, y []byte) []byte {
- z := make([]byte, len(x)+len(y))
-
- // multiply
- k0 := len(z) - 1
- for j := len(y) - 1; j >= 0; j-- {
- d := int(y[j])
- if d != 0 {
- k := k0
- carry := 0
- for i := len(x) - 1; i >= 0; i-- {
- t := int(z[k]) + int(x[i])*d + carry
- z[k], carry = byte(t), t>>8
- k--
- }
- z[k] = byte(carry)
- }
- k0--
- }
-
- // normalize (remove leading 0's)
- i := 0
- for i < len(z) && z[i] == 0 {
- i++
- }
-
- return z[i:]
-}
-
-
-func checkMul(a, b []byte) bool {
- var x, y, z1 Int
- x.SetBytes(a)
- y.SetBytes(b)
- z1.Mul(&x, &y)
-
- var z2 Int
- z2.SetBytes(mulBytes(a, b))
-
- return z1.Cmp(&z2) == 0
-}
-
-
-func TestMul(t *testing.T) {
- if err := quick.Check(checkMul, nil); err != nil {
- t.Error(err)
- }
-}
-
-
-var mulRangesZ = []struct {
- a, b int64
- prod string
-}{
- // entirely positive ranges are covered by mulRangesN
- {-1, 1, "0"},
- {-2, -1, "2"},
- {-3, -2, "6"},
- {-3, -1, "-6"},
- {1, 3, "6"},
- {-10, -10, "-10"},
- {0, -1, "1"}, // empty range
- {-1, -100, "1"}, // empty range
- {-1, 1, "0"}, // range includes 0
- {-1e9, 0, "0"}, // range includes 0
- {-1e9, 1e9, "0"}, // range includes 0
- {-10, -1, "3628800"}, // 10!
- {-20, -2, "-2432902008176640000"}, // -20!
- {-99, -1,
- "-933262154439441526816992388562667004907159682643816214685929" +
- "638952175999932299156089414639761565182862536979208272237582" +
- "511852109168640000000000000000000000", // -99!
- },
-}
-
-
-func TestMulRangeZ(t *testing.T) {
- var tmp Int
- // test entirely positive ranges
- for i, r := range mulRangesN {
- prod := tmp.MulRange(int64(r.a), int64(r.b)).String()
- if prod != r.prod {
- t.Errorf("#%da: got %s; want %s", i, prod, r.prod)
- }
- }
- // test other ranges
- for i, r := range mulRangesZ {
- prod := tmp.MulRange(r.a, r.b).String()
- if prod != r.prod {
- t.Errorf("#%db: got %s; want %s", i, prod, r.prod)
- }
- }
-}
-
-
-var stringTests = []struct {
- in string
- out string
- base int
- val int64
- ok bool
-}{
- {in: "", ok: false},
- {in: "a", ok: false},
- {in: "z", ok: false},
- {in: "+", ok: false},
- {in: "-", ok: false},
- {in: "0b", ok: false},
- {in: "0x", ok: false},
- {in: "2", base: 2, ok: false},
- {in: "0b2", base: 0, ok: false},
- {in: "08", ok: false},
- {in: "8", base: 8, ok: false},
- {in: "0xg", base: 0, ok: false},
- {in: "g", base: 16, ok: false},
- {"0", "0", 0, 0, true},
- {"0", "0", 10, 0, true},
- {"0", "0", 16, 0, true},
- {"+0", "0", 0, 0, true},
- {"-0", "0", 0, 0, true},
- {"10", "10", 0, 10, true},
- {"10", "10", 10, 10, true},
- {"10", "10", 16, 16, true},
- {"-10", "-10", 16, -16, true},
- {"+10", "10", 16, 16, true},
- {"0x10", "16", 0, 16, true},
- {in: "0x10", base: 16, ok: false},
- {"-0x10", "-16", 0, -16, true},
- {"+0x10", "16", 0, 16, true},
- {"00", "0", 0, 0, true},
- {"0", "0", 8, 0, true},
- {"07", "7", 0, 7, true},
- {"7", "7", 8, 7, true},
- {"023", "19", 0, 19, true},
- {"23", "23", 8, 19, true},
- {"cafebabe", "cafebabe", 16, 0xcafebabe, true},
- {"0b0", "0", 0, 0, true},
- {"-111", "-111", 2, -7, true},
- {"-0b111", "-7", 0, -7, true},
- {"0b1001010111", "599", 0, 0x257, true},
- {"1001010111", "1001010111", 2, 0x257, true},
-}
-
-
-func format(base int) string {
- switch base {
- case 2:
- return "%b"
- case 8:
- return "%o"
- case 16:
- return "%x"
- }
- return "%d"
-}
-
-
-func TestGetString(t *testing.T) {
- z := new(Int)
- for i, test := range stringTests {
- if !test.ok {
- continue
- }
- z.SetInt64(test.val)
-
- if test.base == 10 {
- s := z.String()
- if s != test.out {
- t.Errorf("#%da got %s; want %s", i, s, test.out)
- }
- }
-
- s := fmt.Sprintf(format(test.base), z)
- if s != test.out {
- t.Errorf("#%db got %s; want %s", i, s, test.out)
- }
- }
-}
-
-
-func TestSetString(t *testing.T) {
- tmp := new(Int)
- for i, test := range stringTests {
- n1, ok1 := new(Int).SetString(test.in, test.base)
- n2, ok2 := tmp.SetString(test.in, test.base)
- expected := NewInt(test.val)
- if ok1 != test.ok || ok2 != test.ok {
- t.Errorf("#%d (input '%s') ok incorrect (should be %t)", i, test.in, test.ok)
- continue
- }
- if !ok1 || !ok2 {
- continue
- }
-
- if ok1 && !isNormalized(n1) {
- t.Errorf("#%d (input '%s'): %v is not normalized", i, test.in, *n1)
- }
- if ok2 && !isNormalized(n2) {
- t.Errorf("#%d (input '%s'): %v is not normalized", i, test.in, *n2)
- }
-
- if n1.Cmp(expected) != 0 {
- t.Errorf("#%d (input '%s') got: %s want: %d", i, test.in, n1, test.val)
- }
- if n2.Cmp(expected) != 0 {
- t.Errorf("#%d (input '%s') got: %s want: %d", i, test.in, n2, test.val)
- }
- }
-}
-
-
-var formatTests = []struct {
- input string
- format string
- output string
-}{
- {"<nil>", "%x", "<nil>"},
- {"<nil>", "%#x", "<nil>"},
- {"<nil>", "%#y", "%!y(big.Int=<nil>)"},
-
- {"10", "%b", "1010"},
- {"10", "%o", "12"},
- {"10", "%d", "10"},
- {"10", "%v", "10"},
- {"10", "%x", "a"},
- {"10", "%X", "A"},
- {"-10", "%X", "-A"},
- {"10", "%y", "%!y(big.Int=10)"},
- {"-10", "%y", "%!y(big.Int=-10)"},
-
- {"10", "%#b", "1010"},
- {"10", "%#o", "012"},
- {"10", "%#d", "10"},
- {"10", "%#v", "10"},
- {"10", "%#x", "0xa"},
- {"10", "%#X", "0XA"},
- {"-10", "%#X", "-0XA"},
- {"10", "%#y", "%!y(big.Int=10)"},
- {"-10", "%#y", "%!y(big.Int=-10)"},
-
- {"1234", "%d", "1234"},
- {"1234", "%3d", "1234"},
- {"1234", "%4d", "1234"},
- {"-1234", "%d", "-1234"},
- {"1234", "% 5d", " 1234"},
- {"1234", "%+5d", "+1234"},
- {"1234", "%-5d", "1234 "},
- {"1234", "%x", "4d2"},
- {"1234", "%X", "4D2"},
- {"1234", "% x", "4 d2"},
- {"-1234", "%3x", "-4d2"},
- {"-1234", "%4x", "-4d2"},
- {"-1234", "%5x", " -4d2"},
- {"-1234", "%-5x", "-4d2 "},
- {"-1234", "% x", "-4 d2"},
- {"1234", "%03d", "1234"},
- {"1234", "%04d", "1234"},
- {"1234", "%05d", "01234"},
- {"1234", "%06d", "001234"},
- {"-1234", "%06d", "-01234"},
- {"1234", "%+06d", "+01234"},
- {"1234", "% 06d", " 01234"},
- {"1234", "%-6d", "1234 "},
- {"1234", "%-06d", "001234"},
- {"-1234", "%-06d", "-01234"},
- {"10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", // 10**100
- "% x",
- "12 49 ad 25 94 c3 7c eb 0b 27 84 c4 ce 0b f3 8a ce 40 8e 21 1a 7c aa b2 43 08 a8 2e 8f 10 00 00 00 00 00 00 00 00 00 00 00 00"},
-}
-
-
-func TestFormat(t *testing.T) {
- for i, test := range formatTests {
- var x *Int
- if test.input != "<nil>" {
- var ok bool
- x, ok = new(Int).SetString(test.input, 0)
- if !ok {
- t.Errorf("#%d failed reading input %s", i, test.input)
- }
- }
- output := fmt.Sprintf(test.format, x)
- if output != test.output {
- t.Errorf("#%d got %q; want %q", i, output, test.output)
- }
- }
-}
-
-
-var scanTests = []struct {
- input string
- format string
- output string
- remaining int
-}{
- {"1010", "%b", "10", 0},
- {"0b1010", "%v", "10", 0},
- {"12", "%o", "10", 0},
- {"012", "%v", "10", 0},
- {"10", "%d", "10", 0},
- {"10", "%v", "10", 0},
- {"a", "%x", "10", 0},
- {"0xa", "%v", "10", 0},
- {"A", "%X", "10", 0},
- {"-A", "%X", "-10", 0},
- {"+0b1011001", "%v", "89", 0},
- {"0xA", "%v", "10", 0},
- {"0 ", "%v", "0", 1},
- {"2+3", "%v", "2", 2},
- {"0XABC 12", "%v", "2748", 3},
-}
-
-
-func TestScan(t *testing.T) {
- var buf bytes.Buffer
- for i, test := range scanTests {
- x := new(Int)
- buf.Reset()
- buf.WriteString(test.input)
- if _, err := fmt.Fscanf(&buf, test.format, x); err != nil {
- t.Errorf("#%d error: %s", i, err.String())
- }
- if x.String() != test.output {
- t.Errorf("#%d got %s; want %s", i, x.String(), test.output)
- }
- if buf.Len() != test.remaining {
- t.Errorf("#%d got %d bytes remaining; want %d", i, buf.Len(), test.remaining)
- }
- }
-}
-
-
-// Examples from the Go Language Spec, section "Arithmetic operators"
-var divisionSignsTests = []struct {
- x, y int64
- q, r int64 // T-division
- d, m int64 // Euclidian division
-}{
- {5, 3, 1, 2, 1, 2},
- {-5, 3, -1, -2, -2, 1},
- {5, -3, -1, 2, -1, 2},
- {-5, -3, 1, -2, 2, 1},
- {1, 2, 0, 1, 0, 1},
- {8, 4, 2, 0, 2, 0},
-}
-
-
-func TestDivisionSigns(t *testing.T) {
- for i, test := range divisionSignsTests {
- x := NewInt(test.x)
- y := NewInt(test.y)
- q := NewInt(test.q)
- r := NewInt(test.r)
- d := NewInt(test.d)
- m := NewInt(test.m)
-
- q1 := new(Int).Quo(x, y)
- r1 := new(Int).Rem(x, y)
- if !isNormalized(q1) {
- t.Errorf("#%d Quo: %v is not normalized", i, *q1)
- }
- if !isNormalized(r1) {
- t.Errorf("#%d Rem: %v is not normalized", i, *r1)
- }
- if q1.Cmp(q) != 0 || r1.Cmp(r) != 0 {
- t.Errorf("#%d QuoRem: got (%s, %s), want (%s, %s)", i, q1, r1, q, r)
- }
-
- q2, r2 := new(Int).QuoRem(x, y, new(Int))
- if !isNormalized(q2) {
- t.Errorf("#%d Quo: %v is not normalized", i, *q2)
- }
- if !isNormalized(r2) {
- t.Errorf("#%d Rem: %v is not normalized", i, *r2)
- }
- if q2.Cmp(q) != 0 || r2.Cmp(r) != 0 {
- t.Errorf("#%d QuoRem: got (%s, %s), want (%s, %s)", i, q2, r2, q, r)
- }
-
- d1 := new(Int).Div(x, y)
- m1 := new(Int).Mod(x, y)
- if !isNormalized(d1) {
- t.Errorf("#%d Div: %v is not normalized", i, *d1)
- }
- if !isNormalized(m1) {
- t.Errorf("#%d Mod: %v is not normalized", i, *m1)
- }
- if d1.Cmp(d) != 0 || m1.Cmp(m) != 0 {
- t.Errorf("#%d DivMod: got (%s, %s), want (%s, %s)", i, d1, m1, d, m)
- }
-
- d2, m2 := new(Int).DivMod(x, y, new(Int))
- if !isNormalized(d2) {
- t.Errorf("#%d Div: %v is not normalized", i, *d2)
- }
- if !isNormalized(m2) {
- t.Errorf("#%d Mod: %v is not normalized", i, *m2)
- }
- if d2.Cmp(d) != 0 || m2.Cmp(m) != 0 {
- t.Errorf("#%d DivMod: got (%s, %s), want (%s, %s)", i, d2, m2, d, m)
- }
- }
-}
-
-
-func checkSetBytes(b []byte) bool {
- hex1 := hex.EncodeToString(new(Int).SetBytes(b).Bytes())
- hex2 := hex.EncodeToString(b)
-
- for len(hex1) < len(hex2) {
- hex1 = "0" + hex1
- }
-
- for len(hex1) > len(hex2) {
- hex2 = "0" + hex2
- }
-
- return hex1 == hex2
-}
-
-
-func TestSetBytes(t *testing.T) {
- if err := quick.Check(checkSetBytes, nil); err != nil {
- t.Error(err)
- }
-}
-
-
-func checkBytes(b []byte) bool {
- b2 := new(Int).SetBytes(b).Bytes()
- return bytes.Compare(b, b2) == 0
-}
-
-
-func TestBytes(t *testing.T) {
- if err := quick.Check(checkSetBytes, nil); err != nil {
- t.Error(err)
- }
-}
-
-
-func checkQuo(x, y []byte) bool {
- u := new(Int).SetBytes(x)
- v := new(Int).SetBytes(y)
-
- if len(v.abs) == 0 {
- return true
- }
-
- r := new(Int)
- q, r := new(Int).QuoRem(u, v, r)
-
- if r.Cmp(v) >= 0 {
- return false
- }
-
- uprime := new(Int).Set(q)
- uprime.Mul(uprime, v)
- uprime.Add(uprime, r)
-
- return uprime.Cmp(u) == 0
-}
-
-
-var quoTests = []struct {
- x, y string
- q, r string
-}{
- {
- "476217953993950760840509444250624797097991362735329973741718102894495832294430498335824897858659711275234906400899559094370964723884706254265559534144986498357",
- "9353930466774385905609975137998169297361893554149986716853295022578535724979483772383667534691121982974895531435241089241440253066816724367338287092081996",
- "50911",
- "1",
- },
- {
- "11510768301994997771168",
- "1328165573307167369775",
- "8",
- "885443715537658812968",
- },
-}
-
-
-func TestQuo(t *testing.T) {
- if err := quick.Check(checkQuo, nil); err != nil {
- t.Error(err)
- }
-
- for i, test := range quoTests {
- x, _ := new(Int).SetString(test.x, 10)
- y, _ := new(Int).SetString(test.y, 10)
- expectedQ, _ := new(Int).SetString(test.q, 10)
- expectedR, _ := new(Int).SetString(test.r, 10)
-
- r := new(Int)
- q, r := new(Int).QuoRem(x, y, r)
-
- if q.Cmp(expectedQ) != 0 || r.Cmp(expectedR) != 0 {
- t.Errorf("#%d got (%s, %s) want (%s, %s)", i, q, r, expectedQ, expectedR)
- }
- }
-}
-
-
-func TestQuoStepD6(t *testing.T) {
- // See Knuth, Volume 2, section 4.3.1, exercise 21. This code exercises
- // a code path which only triggers 1 in 10^{-19} cases.
-
- u := &Int{false, nat{0, 0, 1 + 1<<(_W-1), _M ^ (1 << (_W - 1))}}
- v := &Int{false, nat{5, 2 + 1<<(_W-1), 1 << (_W - 1)}}
-
- r := new(Int)
- q, r := new(Int).QuoRem(u, v, r)
- const expectedQ64 = "18446744073709551613"
- const expectedR64 = "3138550867693340382088035895064302439801311770021610913807"
- const expectedQ32 = "4294967293"
- const expectedR32 = "39614081266355540837921718287"
- if q.String() != expectedQ64 && q.String() != expectedQ32 ||
- r.String() != expectedR64 && r.String() != expectedR32 {
- t.Errorf("got (%s, %s) want (%s, %s) or (%s, %s)", q, r, expectedQ64, expectedR64, expectedQ32, expectedR32)
- }
-}
-
-
-var bitLenTests = []struct {
- in string
- out int
-}{
- {"-1", 1},
- {"0", 0},
- {"1", 1},
- {"2", 2},
- {"4", 3},
- {"0xabc", 12},
- {"0x8000", 16},
- {"0x80000000", 32},
- {"0x800000000000", 48},
- {"0x8000000000000000", 64},
- {"0x80000000000000000000", 80},
- {"-0x4000000000000000000000", 87},
-}
-
-
-func TestBitLen(t *testing.T) {
- for i, test := range bitLenTests {
- x, ok := new(Int).SetString(test.in, 0)
- if !ok {
- t.Errorf("#%d test input invalid: %s", i, test.in)
- continue
- }
-
- if n := x.BitLen(); n != test.out {
- t.Errorf("#%d got %d want %d", i, n, test.out)
- }
- }
-}
-
-
-var expTests = []struct {
- x, y, m string
- out string
-}{
- {"5", "0", "", "1"},
- {"-5", "0", "", "-1"},
- {"5", "1", "", "5"},
- {"-5", "1", "", "-5"},
- {"-2", "3", "2", "0"},
- {"5", "2", "", "25"},
- {"1", "65537", "2", "1"},
- {"0x8000000000000000", "2", "", "0x40000000000000000000000000000000"},
- {"0x8000000000000000", "2", "6719", "4944"},
- {"0x8000000000000000", "3", "6719", "5447"},
- {"0x8000000000000000", "1000", "6719", "1603"},
- {"0x8000000000000000", "1000000", "6719", "3199"},
- {
- "2938462938472983472983659726349017249287491026512746239764525612965293865296239471239874193284792387498274256129746192347",
- "298472983472983471903246121093472394872319615612417471234712061",
- "29834729834729834729347290846729561262544958723956495615629569234729836259263598127342374289365912465901365498236492183464",
- "23537740700184054162508175125554701713153216681790245129157191391322321508055833908509185839069455749219131480588829346291",
- },
-}
-
-
-func TestExp(t *testing.T) {
- for i, test := range expTests {
- x, ok1 := new(Int).SetString(test.x, 0)
- y, ok2 := new(Int).SetString(test.y, 0)
- out, ok3 := new(Int).SetString(test.out, 0)
-
- var ok4 bool
- var m *Int
-
- if len(test.m) == 0 {
- m, ok4 = nil, true
- } else {
- m, ok4 = new(Int).SetString(test.m, 0)
- }
-
- if !ok1 || !ok2 || !ok3 || !ok4 {
- t.Errorf("#%d: error in input", i)
- continue
- }
-
- z := y.Exp(x, y, m)
- if !isNormalized(z) {
- t.Errorf("#%d: %v is not normalized", i, *z)
- }
- if z.Cmp(out) != 0 {
- t.Errorf("#%d: got %s want %s", i, z, out)
- }
- }
-}
-
-
-func checkGcd(aBytes, bBytes []byte) bool {
- a := new(Int).SetBytes(aBytes)
- b := new(Int).SetBytes(bBytes)
-
- x := new(Int)
- y := new(Int)
- d := new(Int)
-
- GcdInt(d, x, y, a, b)
- x.Mul(x, a)
- y.Mul(y, b)
- x.Add(x, y)
-
- return x.Cmp(d) == 0
-}
-
-
-var gcdTests = []struct {
- a, b int64
- d, x, y int64
-}{
- {120, 23, 1, -9, 47},
-}
-
-
-func TestGcd(t *testing.T) {
- for i, test := range gcdTests {
- a := NewInt(test.a)
- b := NewInt(test.b)
-
- x := new(Int)
- y := new(Int)
- d := new(Int)
-
- expectedX := NewInt(test.x)
- expectedY := NewInt(test.y)
- expectedD := NewInt(test.d)
-
- GcdInt(d, x, y, a, b)
-
- if expectedX.Cmp(x) != 0 ||
- expectedY.Cmp(y) != 0 ||
- expectedD.Cmp(d) != 0 {
- t.Errorf("#%d got (%s %s %s) want (%s %s %s)", i, x, y, d, expectedX, expectedY, expectedD)
- }
- }
-
- quick.Check(checkGcd, nil)
-}
-
-
-var primes = []string{
- "2",
- "3",
- "5",
- "7",
- "11",
-
- "13756265695458089029",
- "13496181268022124907",
- "10953742525620032441",
- "17908251027575790097",
-
- // http://code.google.com/p/go/issues/detail?id=638
- "18699199384836356663",
-
- "98920366548084643601728869055592650835572950932266967461790948584315647051443",
- "94560208308847015747498523884063394671606671904944666360068158221458669711639",
-
- // http://primes.utm.edu/lists/small/small3.html
- "449417999055441493994709297093108513015373787049558499205492347871729927573118262811508386655998299074566974373711472560655026288668094291699357843464363003144674940345912431129144354948751003607115263071543163",
- "230975859993204150666423538988557839555560243929065415434980904258310530753006723857139742334640122533598517597674807096648905501653461687601339782814316124971547968912893214002992086353183070342498989426570593",
- "5521712099665906221540423207019333379125265462121169655563495403888449493493629943498064604536961775110765377745550377067893607246020694972959780839151452457728855382113555867743022746090187341871655890805971735385789993",
- "203956878356401977405765866929034577280193993314348263094772646453283062722701277632936616063144088173312372882677123879538709400158306567338328279154499698366071906766440037074217117805690872792848149112022286332144876183376326512083574821647933992961249917319836219304274280243803104015000563790123",
-}
-
-
-var composites = []string{
- "21284175091214687912771199898307297748211672914763848041968395774954376176754",
- "6084766654921918907427900243509372380954290099172559290432744450051395395951",
- "84594350493221918389213352992032324280367711247940675652888030554255915464401",
- "82793403787388584738507275144194252681",
-}
-
-
-func TestProbablyPrime(t *testing.T) {
- nreps := 20
- if testing.Short() {
- nreps = 1
- }
- for i, s := range primes {
- p, _ := new(Int).SetString(s, 10)
- if !ProbablyPrime(p, nreps) {
- t.Errorf("#%d prime found to be non-prime (%s)", i, s)
- }
- }
-
- for i, s := range composites {
- c, _ := new(Int).SetString(s, 10)
- if ProbablyPrime(c, nreps) {
- t.Errorf("#%d composite found to be prime (%s)", i, s)
- }
- if testing.Short() {
- break
- }
- }
-}
-
-
-type intShiftTest struct {
- in string
- shift uint
- out string
-}
-
-
-var rshTests = []intShiftTest{
- {"0", 0, "0"},
- {"-0", 0, "0"},
- {"0", 1, "0"},
- {"0", 2, "0"},
- {"1", 0, "1"},
- {"1", 1, "0"},
- {"1", 2, "0"},
- {"2", 0, "2"},
- {"2", 1, "1"},
- {"-1", 0, "-1"},
- {"-1", 1, "-1"},
- {"-1", 10, "-1"},
- {"-100", 2, "-25"},
- {"-100", 3, "-13"},
- {"-100", 100, "-1"},
- {"4294967296", 0, "4294967296"},
- {"4294967296", 1, "2147483648"},
- {"4294967296", 2, "1073741824"},
- {"18446744073709551616", 0, "18446744073709551616"},
- {"18446744073709551616", 1, "9223372036854775808"},
- {"18446744073709551616", 2, "4611686018427387904"},
- {"18446744073709551616", 64, "1"},
- {"340282366920938463463374607431768211456", 64, "18446744073709551616"},
- {"340282366920938463463374607431768211456", 128, "1"},
-}
-
-
-func TestRsh(t *testing.T) {
- for i, test := range rshTests {
- in, _ := new(Int).SetString(test.in, 10)
- expected, _ := new(Int).SetString(test.out, 10)
- out := new(Int).Rsh(in, test.shift)
-
- if !isNormalized(out) {
- t.Errorf("#%d: %v is not normalized", i, *out)
- }
- if out.Cmp(expected) != 0 {
- t.Errorf("#%d: got %s want %s", i, out, expected)
- }
- }
-}
-
-
-func TestRshSelf(t *testing.T) {
- for i, test := range rshTests {
- z, _ := new(Int).SetString(test.in, 10)
- expected, _ := new(Int).SetString(test.out, 10)
- z.Rsh(z, test.shift)
-
- if !isNormalized(z) {
- t.Errorf("#%d: %v is not normalized", i, *z)
- }
- if z.Cmp(expected) != 0 {
- t.Errorf("#%d: got %s want %s", i, z, expected)
- }
- }
-}
-
-
-var lshTests = []intShiftTest{
- {"0", 0, "0"},
- {"0", 1, "0"},
- {"0", 2, "0"},
- {"1", 0, "1"},
- {"1", 1, "2"},
- {"1", 2, "4"},
- {"2", 0, "2"},
- {"2", 1, "4"},
- {"2", 2, "8"},
- {"-87", 1, "-174"},
- {"4294967296", 0, "4294967296"},
- {"4294967296", 1, "8589934592"},
- {"4294967296", 2, "17179869184"},
- {"18446744073709551616", 0, "18446744073709551616"},
- {"9223372036854775808", 1, "18446744073709551616"},
- {"4611686018427387904", 2, "18446744073709551616"},
- {"1", 64, "18446744073709551616"},
- {"18446744073709551616", 64, "340282366920938463463374607431768211456"},
- {"1", 128, "340282366920938463463374607431768211456"},
-}
-
-
-func TestLsh(t *testing.T) {
- for i, test := range lshTests {
- in, _ := new(Int).SetString(test.in, 10)
- expected, _ := new(Int).SetString(test.out, 10)
- out := new(Int).Lsh(in, test.shift)
-
- if !isNormalized(out) {
- t.Errorf("#%d: %v is not normalized", i, *out)
- }
- if out.Cmp(expected) != 0 {
- t.Errorf("#%d: got %s want %s", i, out, expected)
- }
- }
-}
-
-
-func TestLshSelf(t *testing.T) {
- for i, test := range lshTests {
- z, _ := new(Int).SetString(test.in, 10)
- expected, _ := new(Int).SetString(test.out, 10)
- z.Lsh(z, test.shift)
-
- if !isNormalized(z) {
- t.Errorf("#%d: %v is not normalized", i, *z)
- }
- if z.Cmp(expected) != 0 {
- t.Errorf("#%d: got %s want %s", i, z, expected)
- }
- }
-}
-
-
-func TestLshRsh(t *testing.T) {
- for i, test := range rshTests {
- in, _ := new(Int).SetString(test.in, 10)
- out := new(Int).Lsh(in, test.shift)
- out = out.Rsh(out, test.shift)
-
- if !isNormalized(out) {
- t.Errorf("#%d: %v is not normalized", i, *out)
- }
- if in.Cmp(out) != 0 {
- t.Errorf("#%d: got %s want %s", i, out, in)
- }
- }
- for i, test := range lshTests {
- in, _ := new(Int).SetString(test.in, 10)
- out := new(Int).Lsh(in, test.shift)
- out.Rsh(out, test.shift)
-
- if !isNormalized(out) {
- t.Errorf("#%d: %v is not normalized", i, *out)
- }
- if in.Cmp(out) != 0 {
- t.Errorf("#%d: got %s want %s", i, out, in)
- }
- }
-}
-
-
-var int64Tests = []int64{
- 0,
- 1,
- -1,
- 4294967295,
- -4294967295,
- 4294967296,
- -4294967296,
- 9223372036854775807,
- -9223372036854775807,
- -9223372036854775808,
-}
-
-
-func TestInt64(t *testing.T) {
- for i, testVal := range int64Tests {
- in := NewInt(testVal)
- out := in.Int64()
-
- if out != testVal {
- t.Errorf("#%d got %d want %d", i, out, testVal)
- }
- }
-}
-
-
-var bitwiseTests = []struct {
- x, y string
- and, or, xor, andNot string
-}{
- {"0x00", "0x00", "0x00", "0x00", "0x00", "0x00"},
- {"0x00", "0x01", "0x00", "0x01", "0x01", "0x00"},
- {"0x01", "0x00", "0x00", "0x01", "0x01", "0x01"},
- {"-0x01", "0x00", "0x00", "-0x01", "-0x01", "-0x01"},
- {"-0xaf", "-0x50", "-0xf0", "-0x0f", "0xe1", "0x41"},
- {"0x00", "-0x01", "0x00", "-0x01", "-0x01", "0x00"},
- {"0x01", "0x01", "0x01", "0x01", "0x00", "0x00"},
- {"-0x01", "-0x01", "-0x01", "-0x01", "0x00", "0x00"},
- {"0x07", "0x08", "0x00", "0x0f", "0x0f", "0x07"},
- {"0x05", "0x0f", "0x05", "0x0f", "0x0a", "0x00"},
- {"0x013ff6", "0x9a4e", "0x1a46", "0x01bffe", "0x01a5b8", "0x0125b0"},
- {"-0x013ff6", "0x9a4e", "0x800a", "-0x0125b2", "-0x01a5bc", "-0x01c000"},
- {"-0x013ff6", "-0x9a4e", "-0x01bffe", "-0x1a46", "0x01a5b8", "0x8008"},
- {
- "0x1000009dc6e3d9822cba04129bcbe3401",
- "0xb9bd7d543685789d57cb918e833af352559021483cdb05cc21fd",
- "0x1000001186210100001000009048c2001",
- "0xb9bd7d543685789d57cb918e8bfeff7fddb2ebe87dfbbdfe35fd",
- "0xb9bd7d543685789d57ca918e8ae69d6fcdb2eae87df2b97215fc",
- "0x8c40c2d8822caa04120b8321400",
- },
- {
- "0x1000009dc6e3d9822cba04129bcbe3401",
- "-0xb9bd7d543685789d57cb918e833af352559021483cdb05cc21fd",
- "0x8c40c2d8822caa04120b8321401",
- "-0xb9bd7d543685789d57ca918e82229142459020483cd2014001fd",
- "-0xb9bd7d543685789d57ca918e8ae69d6fcdb2eae87df2b97215fe",
- "0x1000001186210100001000009048c2000",
- },
- {
- "-0x1000009dc6e3d9822cba04129bcbe3401",
- "-0xb9bd7d543685789d57cb918e833af352559021483cdb05cc21fd",
- "-0xb9bd7d543685789d57cb918e8bfeff7fddb2ebe87dfbbdfe35fd",
- "-0x1000001186210100001000009048c2001",
- "0xb9bd7d543685789d57ca918e8ae69d6fcdb2eae87df2b97215fc",
- "0xb9bd7d543685789d57ca918e82229142459020483cd2014001fc",
- },
-}
-
-
-type bitFun func(z, x, y *Int) *Int
-
-func testBitFun(t *testing.T, msg string, f bitFun, x, y *Int, exp string) {
- expected := new(Int)
- expected.SetString(exp, 0)
-
- out := f(new(Int), x, y)
- if out.Cmp(expected) != 0 {
- t.Errorf("%s: got %s want %s", msg, out, expected)
- }
-}
-
-
-func testBitFunSelf(t *testing.T, msg string, f bitFun, x, y *Int, exp string) {
- self := new(Int)
- self.Set(x)
- expected := new(Int)
- expected.SetString(exp, 0)
-
- self = f(self, self, y)
- if self.Cmp(expected) != 0 {
- t.Errorf("%s: got %s want %s", msg, self, expected)
- }
-}
-
-
-func altBit(x *Int, i int) uint {
- z := new(Int).Rsh(x, uint(i))
- z = z.And(z, NewInt(1))
- if z.Cmp(new(Int)) != 0 {
- return 1
- }
- return 0
-}
-
-
-func altSetBit(z *Int, x *Int, i int, b uint) *Int {
- one := NewInt(1)
- m := one.Lsh(one, uint(i))
- switch b {
- case 1:
- return z.Or(x, m)
- case 0:
- return z.AndNot(x, m)
- }
- panic("set bit is not 0 or 1")
-}
-
-
-func testBitset(t *testing.T, x *Int) {
- n := x.BitLen()
- z := new(Int).Set(x)
- z1 := new(Int).Set(x)
- for i := 0; i < n+10; i++ {
- old := z.Bit(i)
- old1 := altBit(z1, i)
- if old != old1 {
- t.Errorf("bitset: inconsistent value for Bit(%s, %d), got %v want %v", z1, i, old, old1)
- }
- z := new(Int).SetBit(z, i, 1)
- z1 := altSetBit(new(Int), z1, i, 1)
- if z.Bit(i) == 0 {
- t.Errorf("bitset: bit %d of %s got 0 want 1", i, x)
- }
- if z.Cmp(z1) != 0 {
- t.Errorf("bitset: inconsistent value after SetBit 1, got %s want %s", z, z1)
- }
- z.SetBit(z, i, 0)
- altSetBit(z1, z1, i, 0)
- if z.Bit(i) != 0 {
- t.Errorf("bitset: bit %d of %s got 1 want 0", i, x)
- }
- if z.Cmp(z1) != 0 {
- t.Errorf("bitset: inconsistent value after SetBit 0, got %s want %s", z, z1)
- }
- altSetBit(z1, z1, i, old)
- z.SetBit(z, i, old)
- if z.Cmp(z1) != 0 {
- t.Errorf("bitset: inconsistent value after SetBit old, got %s want %s", z, z1)
- }
- }
- if z.Cmp(x) != 0 {
- t.Errorf("bitset: got %s want %s", z, x)
- }
-}
-
-
-var bitsetTests = []struct {
- x string
- i int
- b uint
-}{
- {"0", 0, 0},
- {"0", 200, 0},
- {"1", 0, 1},
- {"1", 1, 0},
- {"-1", 0, 1},
- {"-1", 200, 1},
- {"0x2000000000000000000000000000", 108, 0},
- {"0x2000000000000000000000000000", 109, 1},
- {"0x2000000000000000000000000000", 110, 0},
- {"-0x2000000000000000000000000001", 108, 1},
- {"-0x2000000000000000000000000001", 109, 0},
- {"-0x2000000000000000000000000001", 110, 1},
-}
-
-
-func TestBitSet(t *testing.T) {
- for _, test := range bitwiseTests {
- x := new(Int)
- x.SetString(test.x, 0)
- testBitset(t, x)
- x = new(Int)
- x.SetString(test.y, 0)
- testBitset(t, x)
- }
- for i, test := range bitsetTests {
- x := new(Int)
- x.SetString(test.x, 0)
- b := x.Bit(test.i)
- if b != test.b {
-
- t.Errorf("#%d want %v got %v", i, test.b, b)
- }
- }
-}
-
-
-func BenchmarkBitset(b *testing.B) {
- z := new(Int)
- z.SetBit(z, 512, 1)
- b.ResetTimer()
- b.StartTimer()
- for i := b.N - 1; i >= 0; i-- {
- z.SetBit(z, i&512, 1)
- }
-}
-
-
-func BenchmarkBitsetNeg(b *testing.B) {
- z := NewInt(-1)
- z.SetBit(z, 512, 0)
- b.ResetTimer()
- b.StartTimer()
- for i := b.N - 1; i >= 0; i-- {
- z.SetBit(z, i&512, 0)
- }
-}
-
-
-func BenchmarkBitsetOrig(b *testing.B) {
- z := new(Int)
- altSetBit(z, z, 512, 1)
- b.ResetTimer()
- b.StartTimer()
- for i := b.N - 1; i >= 0; i-- {
- altSetBit(z, z, i&512, 1)
- }
-}
-
-
-func BenchmarkBitsetNegOrig(b *testing.B) {
- z := NewInt(-1)
- altSetBit(z, z, 512, 0)
- b.ResetTimer()
- b.StartTimer()
- for i := b.N - 1; i >= 0; i-- {
- altSetBit(z, z, i&512, 0)
- }
-}
-
-
-func TestBitwise(t *testing.T) {
- x := new(Int)
- y := new(Int)
- for _, test := range bitwiseTests {
- x.SetString(test.x, 0)
- y.SetString(test.y, 0)
-
- testBitFun(t, "and", (*Int).And, x, y, test.and)
- testBitFunSelf(t, "and", (*Int).And, x, y, test.and)
- testBitFun(t, "andNot", (*Int).AndNot, x, y, test.andNot)
- testBitFunSelf(t, "andNot", (*Int).AndNot, x, y, test.andNot)
- testBitFun(t, "or", (*Int).Or, x, y, test.or)
- testBitFunSelf(t, "or", (*Int).Or, x, y, test.or)
- testBitFun(t, "xor", (*Int).Xor, x, y, test.xor)
- testBitFunSelf(t, "xor", (*Int).Xor, x, y, test.xor)
- }
-}
-
-
-var notTests = []struct {
- in string
- out string
-}{
- {"0", "-1"},
- {"1", "-2"},
- {"7", "-8"},
- {"0", "-1"},
- {"-81910", "81909"},
- {
- "298472983472983471903246121093472394872319615612417471234712061",
- "-298472983472983471903246121093472394872319615612417471234712062",
- },
-}
-
-
-func TestNot(t *testing.T) {
- in := new(Int)
- out := new(Int)
- expected := new(Int)
- for i, test := range notTests {
- in.SetString(test.in, 10)
- expected.SetString(test.out, 10)
- out = out.Not(in)
- if out.Cmp(expected) != 0 {
- t.Errorf("#%d: got %s want %s", i, out, expected)
- }
- out = out.Not(out)
- if out.Cmp(in) != 0 {
- t.Errorf("#%d: got %s want %s", i, out, in)
- }
- }
-}
-
-
-var modInverseTests = []struct {
- element string
- prime string
-}{
- {"1", "7"},
- {"1", "13"},
- {"239487239847", "2410312426921032588552076022197566074856950548502459942654116941958108831682612228890093858261341614673227141477904012196503648957050582631942730706805009223062734745341073406696246014589361659774041027169249453200378729434170325843778659198143763193776859869524088940195577346119843545301547043747207749969763750084308926339295559968882457872412993810129130294592999947926365264059284647209730384947211681434464714438488520940127459844288859336526896320919633919"},
-}
-
-
-func TestModInverse(t *testing.T) {
- var element, prime Int
- one := NewInt(1)
- for i, test := range modInverseTests {
- (&element).SetString(test.element, 10)
- (&prime).SetString(test.prime, 10)
- inverse := new(Int).ModInverse(&element, &prime)
- inverse.Mul(inverse, &element)
- inverse.Mod(inverse, &prime)
- if inverse.Cmp(one) != 0 {
- t.Errorf("#%d: failed (e·e^(-1)=%s)", i, inverse)
- }
- }
-}
-
-
-// used by TestIntGobEncoding and TestRatGobEncoding
-var gobEncodingTests = []string{
- "0",
- "1",
- "2",
- "10",
- "42",
- "1234567890",
- "298472983472983471903246121093472394872319615612417471234712061",
-}
-
-func TestIntGobEncoding(t *testing.T) {
- var medium bytes.Buffer
- enc := gob.NewEncoder(&medium)
- dec := gob.NewDecoder(&medium)
- for i, test := range gobEncodingTests {
- for j := 0; j < 2; j++ {
- medium.Reset() // empty buffer for each test case (in case of failures)
- stest := test
- if j != 0 {
- // negative numbers
- stest = "-" + test
- }
- var tx Int
- tx.SetString(stest, 10)
- if err := enc.Encode(&tx); err != nil {
- t.Errorf("#%d%c: encoding failed: %s", i, 'a'+j, err)
- }
- var rx Int
- if err := dec.Decode(&rx); err != nil {
- t.Errorf("#%d%c: decoding failed: %s", i, 'a'+j, err)
- }
- if rx.Cmp(&tx) != 0 {
- t.Errorf("#%d%c: transmission failed: got %s want %s", i, 'a'+j, &rx, &tx)
- }
- }
- }
-}
generated by cgit v1.2.3 (git 2.46.0) at 2025-10-15 17:32:29 +0000