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author | upstream source tree <ports@midipix.org> | 2015-03-15 20:14:05 -0400 |
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committer | upstream source tree <ports@midipix.org> | 2015-03-15 20:14:05 -0400 |
commit | 554fd8c5195424bdbcabf5de30fdc183aba391bd (patch) | |
tree | 976dc5ab7fddf506dadce60ae936f43f58787092 /libgo/go/big/nat_test.go | |
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Diffstat (limited to 'libgo/go/big/nat_test.go')
-rw-r--r-- | libgo/go/big/nat_test.go | 358 |
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) + } + } +} |