summaryrefslogtreecommitdiff
path: root/libgo/go/big/nat_test.go
diff options
context:
space:
mode:
Diffstat (limited to 'libgo/go/big/nat_test.go')
-rw-r--r--libgo/go/big/nat_test.go358
1 files changed, 358 insertions, 0 deletions
diff --git a/libgo/go/big/nat_test.go b/libgo/go/big/nat_test.go
new file mode 100644
index 000000000..0bcb94554
--- /dev/null
+++ b/libgo/go/big/nat_test.go
@@ -0,0 +1,358 @@
+// 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 "testing"
+
+var cmpTests = []struct {
+ x, y nat
+ r int
+}{
+ {nil, nil, 0},
+ {nil, nat{}, 0},
+ {nat{}, nil, 0},
+ {nat{}, nat{}, 0},
+ {nat{0}, nat{0}, 0},
+ {nat{0}, nat{1}, -1},
+ {nat{1}, nat{0}, 1},
+ {nat{1}, nat{1}, 0},
+ {nat{0, _M}, nat{1}, 1},
+ {nat{1}, nat{0, _M}, -1},
+ {nat{1, _M}, nat{0, _M}, 1},
+ {nat{0, _M}, nat{1, _M}, -1},
+ {nat{16, 571956, 8794, 68}, nat{837, 9146, 1, 754489}, -1},
+ {nat{34986, 41, 105, 1957}, nat{56, 7458, 104, 1957}, 1},
+}
+
+
+func TestCmp(t *testing.T) {
+ for i, a := range cmpTests {
+ r := a.x.cmp(a.y)
+ if r != a.r {
+ t.Errorf("#%d got r = %v; want %v", i, r, a.r)
+ }
+ }
+}
+
+
+type funNN func(z, x, y nat) nat
+type argNN struct {
+ z, x, y nat
+}
+
+
+var sumNN = []argNN{
+ {},
+ {nat{1}, nil, nat{1}},
+ {nat{1111111110}, nat{123456789}, nat{987654321}},
+ {nat{0, 0, 0, 1}, nil, nat{0, 0, 0, 1}},
+ {nat{0, 0, 0, 1111111110}, nat{0, 0, 0, 123456789}, nat{0, 0, 0, 987654321}},
+ {nat{0, 0, 0, 1}, nat{0, 0, _M}, nat{0, 0, 1}},
+}
+
+
+var prodNN = []argNN{
+ {},
+ {nil, nil, nil},
+ {nil, nat{991}, nil},
+ {nat{991}, nat{991}, nat{1}},
+ {nat{991 * 991}, nat{991}, nat{991}},
+ {nat{0, 0, 991 * 991}, nat{0, 991}, nat{0, 991}},
+ {nat{1 * 991, 2 * 991, 3 * 991, 4 * 991}, nat{1, 2, 3, 4}, nat{991}},
+ {nat{4, 11, 20, 30, 20, 11, 4}, nat{1, 2, 3, 4}, nat{4, 3, 2, 1}},
+}
+
+
+func TestSet(t *testing.T) {
+ for _, a := range sumNN {
+ z := nat(nil).set(a.z)
+ if z.cmp(a.z) != 0 {
+ t.Errorf("got z = %v; want %v", z, a.z)
+ }
+ }
+}
+
+
+func testFunNN(t *testing.T, msg string, f funNN, a argNN) {
+ z := f(nil, a.x, a.y)
+ if z.cmp(a.z) != 0 {
+ t.Errorf("%s%+v\n\tgot z = %v; want %v", msg, a, z, a.z)
+ }
+}
+
+
+func TestFunNN(t *testing.T) {
+ for _, a := range sumNN {
+ arg := a
+ testFunNN(t, "add", nat.add, arg)
+
+ arg = argNN{a.z, a.y, a.x}
+ testFunNN(t, "add symmetric", nat.add, arg)
+
+ arg = argNN{a.x, a.z, a.y}
+ testFunNN(t, "sub", nat.sub, arg)
+
+ arg = argNN{a.y, a.z, a.x}
+ testFunNN(t, "sub symmetric", nat.sub, arg)
+ }
+
+ for _, a := range prodNN {
+ arg := a
+ testFunNN(t, "mul", nat.mul, arg)
+
+ arg = argNN{a.z, a.y, a.x}
+ testFunNN(t, "mul symmetric", nat.mul, arg)
+ }
+}
+
+
+var mulRangesN = []struct {
+ a, b uint64
+ prod string
+}{
+ {0, 0, "0"},
+ {1, 1, "1"},
+ {1, 2, "2"},
+ {1, 3, "6"},
+ {10, 10, "10"},
+ {0, 100, "0"},
+ {0, 1e9, "0"},
+ {1, 0, "1"}, // empty range
+ {100, 1, "1"}, // empty range
+ {1, 10, "3628800"}, // 10!
+ {1, 20, "2432902008176640000"}, // 20!
+ {1, 100,
+ "933262154439441526816992388562667004907159682643816214685929" +
+ "638952175999932299156089414639761565182862536979208272237582" +
+ "51185210916864000000000000000000000000", // 100!
+ },
+}
+
+
+func TestMulRangeN(t *testing.T) {
+ for i, r := range mulRangesN {
+ prod := nat(nil).mulRange(r.a, r.b).string(10)
+ if prod != r.prod {
+ t.Errorf("#%d: got %s; want %s", i, prod, r.prod)
+ }
+ }
+}
+
+
+var mulArg, mulTmp nat
+
+func init() {
+ const n = 1000
+ mulArg = make(nat, n)
+ for i := 0; i < n; i++ {
+ mulArg[i] = _M
+ }
+}
+
+
+func benchmarkMulLoad() {
+ for j := 1; j <= 10; j++ {
+ x := mulArg[0 : j*100]
+ mulTmp.mul(x, x)
+ }
+}
+
+
+func BenchmarkMul(b *testing.B) {
+ for i := 0; i < b.N; i++ {
+ benchmarkMulLoad()
+ }
+}
+
+
+var tab = []struct {
+ x nat
+ b int
+ s string
+}{
+ {nil, 10, "0"},
+ {nat{1}, 10, "1"},
+ {nat{10}, 10, "10"},
+ {nat{1234567890}, 10, "1234567890"},
+}
+
+
+func TestString(t *testing.T) {
+ for _, a := range tab {
+ s := a.x.string(a.b)
+ if s != a.s {
+ t.Errorf("string%+v\n\tgot s = %s; want %s", a, s, a.s)
+ }
+
+ x, b, n := nat(nil).scan(a.s, a.b)
+ if x.cmp(a.x) != 0 {
+ t.Errorf("scan%+v\n\tgot z = %v; want %v", a, x, a.x)
+ }
+ if b != a.b {
+ t.Errorf("scan%+v\n\tgot b = %d; want %d", a, b, a.b)
+ }
+ if n != len(a.s) {
+ t.Errorf("scan%+v\n\tgot n = %d; want %d", a, n, len(a.s))
+ }
+ }
+}
+
+
+func TestLeadingZeros(t *testing.T) {
+ var x Word = _B >> 1
+ for i := 0; i <= _W; i++ {
+ if int(leadingZeros(x)) != i {
+ t.Errorf("failed at %x: got %d want %d", x, leadingZeros(x), i)
+ }
+ x >>= 1
+ }
+}
+
+
+type shiftTest struct {
+ in nat
+ shift uint
+ out nat
+}
+
+
+var leftShiftTests = []shiftTest{
+ {nil, 0, nil},
+ {nil, 1, nil},
+ {natOne, 0, natOne},
+ {natOne, 1, natTwo},
+ {nat{1 << (_W - 1)}, 1, nat{0}},
+ {nat{1 << (_W - 1), 0}, 1, nat{0, 1}},
+}
+
+
+func TestShiftLeft(t *testing.T) {
+ for i, test := range leftShiftTests {
+ var z nat
+ z = z.shl(test.in, test.shift)
+ for j, d := range test.out {
+ if j >= len(z) || z[j] != d {
+ t.Errorf("#%d: got: %v want: %v", i, z, test.out)
+ break
+ }
+ }
+ }
+}
+
+
+var rightShiftTests = []shiftTest{
+ {nil, 0, nil},
+ {nil, 1, nil},
+ {natOne, 0, natOne},
+ {natOne, 1, nil},
+ {natTwo, 1, natOne},
+ {nat{0, 1}, 1, nat{1 << (_W - 1)}},
+ {nat{2, 1, 1}, 1, nat{1<<(_W-1) + 1, 1 << (_W - 1)}},
+}
+
+
+func TestShiftRight(t *testing.T) {
+ for i, test := range rightShiftTests {
+ var z nat
+ z = z.shr(test.in, test.shift)
+ for j, d := range test.out {
+ if j >= len(z) || z[j] != d {
+ t.Errorf("#%d: got: %v want: %v", i, z, test.out)
+ break
+ }
+ }
+ }
+}
+
+
+type modWTest struct {
+ in string
+ dividend string
+ out string
+}
+
+
+var modWTests32 = []modWTest{
+ {"23492635982634928349238759823742", "252341", "220170"},
+}
+
+
+var modWTests64 = []modWTest{
+ {"6527895462947293856291561095690465243862946", "524326975699234", "375066989628668"},
+}
+
+
+func runModWTests(t *testing.T, tests []modWTest) {
+ for i, test := range tests {
+ in, _ := new(Int).SetString(test.in, 10)
+ d, _ := new(Int).SetString(test.dividend, 10)
+ out, _ := new(Int).SetString(test.out, 10)
+
+ r := in.abs.modW(d.abs[0])
+ if r != out.abs[0] {
+ t.Errorf("#%d failed: got %s want %s", i, r, out)
+ }
+ }
+}
+
+
+func TestModW(t *testing.T) {
+ if _W >= 32 {
+ runModWTests(t, modWTests32)
+ }
+ if _W >= 64 {
+ runModWTests(t, modWTests64)
+ }
+}
+
+
+func TestTrailingZeroBits(t *testing.T) {
+ var x Word
+ x--
+ for i := 0; i < _W; i++ {
+ if trailingZeroBits(x) != i {
+ t.Errorf("Failed at step %d: x: %x got: %d", i, x, trailingZeroBits(x))
+ }
+ x <<= 1
+ }
+}
+
+
+var expNNTests = []struct {
+ x, y, m string
+ out string
+}{
+ {"0x8000000000000000", "2", "", "0x40000000000000000000000000000000"},
+ {"0x8000000000000000", "2", "6719", "4944"},
+ {"0x8000000000000000", "3", "6719", "5447"},
+ {"0x8000000000000000", "1000", "6719", "1603"},
+ {"0x8000000000000000", "1000000", "6719", "3199"},
+ {
+ "2938462938472983472983659726349017249287491026512746239764525612965293865296239471239874193284792387498274256129746192347",
+ "298472983472983471903246121093472394872319615612417471234712061",
+ "29834729834729834729347290846729561262544958723956495615629569234729836259263598127342374289365912465901365498236492183464",
+ "23537740700184054162508175125554701713153216681790245129157191391322321508055833908509185839069455749219131480588829346291",
+ },
+}
+
+
+func TestExpNN(t *testing.T) {
+ for i, test := range expNNTests {
+ x, _, _ := nat(nil).scan(test.x, 0)
+ y, _, _ := nat(nil).scan(test.y, 0)
+ out, _, _ := nat(nil).scan(test.out, 0)
+
+ var m nat
+
+ if len(test.m) > 0 {
+ m, _, _ = nat(nil).scan(test.m, 0)
+ }
+
+ z := nat(nil).expNN(x, y, m)
+ if z.cmp(out) != 0 {
+ t.Errorf("#%d got %v want %v", i, z, out)
+ }
+ }
+}