// 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" func TestCmpNN(t *testing.T) { // TODO(gri) write this test - all other tests depends on it } type funNN func(z, x, y []Word) []Word type argNN struct { z, x, y []Word } var sumNN = []argNN{ argNN{}, argNN{[]Word{1}, nil, []Word{1}}, argNN{[]Word{1111111110}, []Word{123456789}, []Word{987654321}}, argNN{[]Word{0, 0, 0, 1}, nil, []Word{0, 0, 0, 1}}, argNN{[]Word{0, 0, 0, 1111111110}, []Word{0, 0, 0, 123456789}, []Word{0, 0, 0, 987654321}}, argNN{[]Word{0, 0, 0, 1}, []Word{0, 0, _M}, []Word{0, 0, 1}}, } var prodNN = []argNN{ argNN{}, argNN{nil, nil, nil}, argNN{nil, []Word{991}, nil}, argNN{[]Word{991}, []Word{991}, []Word{1}}, argNN{[]Word{991 * 991}, []Word{991}, []Word{991}}, argNN{[]Word{0, 0, 991 * 991}, []Word{0, 991}, []Word{0, 991}}, argNN{[]Word{1 * 991, 2 * 991, 3 * 991, 4 * 991}, []Word{1, 2, 3, 4}, []Word{991}}, argNN{[]Word{4, 11, 20, 30, 20, 11, 4}, []Word{1, 2, 3, 4}, []Word{4, 3, 2, 1}}, } func TestSetN(t *testing.T) { for _, a := range sumNN { z := setN(nil, a.z) if cmpNN(z, 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 cmpNN(z, 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, "addNN", addNN, arg) arg = argNN{a.z, a.y, a.x} testFunNN(t, "addNN symmetric", addNN, arg) arg = argNN{a.x, a.z, a.y} testFunNN(t, "subNN", subNN, arg) arg = argNN{a.y, a.z, a.x} testFunNN(t, "subNN symmetric", subNN, arg) } for _, a := range prodNN { arg := a testFunNN(t, "mulNN", mulNN, arg) arg = argNN{a.z, a.y, a.x} testFunNN(t, "mulNN symmetric", mulNN, arg) } } type strN struct { x []Word b int s string } var tabN = []strN{ strN{nil, 10, "0"}, strN{[]Word{1}, 10, "1"}, strN{[]Word{10}, 10, "10"}, strN{[]Word{1234567890}, 10, "1234567890"}, } func TestStringN(t *testing.T) { for _, a := range tabN { s := stringN(a.x, a.b) if s != a.s { t.Errorf("stringN%+v\n\tgot s = %s; want %s", a, s, a.s) } x, b, n := scanN(nil, a.s, a.b) if cmpNN(x, a.x) != 0 { t.Errorf("scanN%+v\n\tgot z = %v; want %v", a, x, a.x) } if b != a.b { t.Errorf("scanN%+v\n\tgot b = %d; want %d", a, b, a.b) } if n != len(a.s) { t.Errorf("scanN%+v\n\tgot n = %d; want %d", a, n, len(a.s)) } } } func TestLeadingZeroBits(t *testing.T) { var x Word = 1 << (_W - 1) for i := 0; i <= _W; i++ { if leadingZeroBits(x) != i { t.Errorf("failed at %x: got %d want %d", x, leadingZeroBits(x), i) } x >>= 1 } } type shiftTest struct { in []Word shift uint out []Word } var leftShiftTests = []shiftTest{ shiftTest{nil, 0, nil}, shiftTest{nil, 1, nil}, shiftTest{[]Word{0}, 0, []Word{0}}, shiftTest{[]Word{1}, 0, []Word{1}}, shiftTest{[]Word{1}, 1, []Word{2}}, shiftTest{[]Word{1 << (_W - 1)}, 1, []Word{0}}, shiftTest{[]Word{1 << (_W - 1), 0}, 1, []Word{0, 1}}, } func TestShiftLeft(t *testing.T) { for i, test := range leftShiftTests { dst := make([]Word, len(test.out)) shiftLeft(dst, test.in, test.shift) for j, v := range dst { if test.out[j] != v { t.Errorf("#%d: got: %v want: %v", i, dst, test.out) break } } } } var rightShiftTests = []shiftTest{ shiftTest{nil, 0, nil}, shiftTest{nil, 1, nil}, shiftTest{[]Word{0}, 0, []Word{0}}, shiftTest{[]Word{1}, 0, []Word{1}}, shiftTest{[]Word{1}, 1, []Word{0}}, shiftTest{[]Word{2}, 1, []Word{1}}, shiftTest{[]Word{0, 1}, 1, []Word{1 << (_W - 1), 0}}, shiftTest{[]Word{2, 1, 1}, 1, []Word{1<<(_W-1) + 1, 1 << (_W - 1), 0}}, } func TestShiftRight(t *testing.T) { for i, test := range rightShiftTests { dst := make([]Word, len(test.out)) shiftRight(dst, test.in, test.shift) for j, v := range dst { if test.out[j] != v { t.Errorf("#%d: got: %v want: %v", i, dst, test.out) break } } } } type modNWTest struct { in string dividend string out string } var modNWTests32 = []modNWTest{ modNWTest{"23492635982634928349238759823742", "252341", "220170"}, } var modNWTests64 = []modNWTest{ modNWTest{"6527895462947293856291561095690465243862946", "524326975699234", "375066989628668"}, } func runModNWTests(t *testing.T, tests []modNWTest) { 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 := modNW(in.abs, d.abs[0]) if r != out.abs[0] { t.Errorf("#%d failed: got %s want %s\n", i, r, out) } } } func TestModNW(t *testing.T) { if _W >= 32 { runModNWTests(t, modNWTests32) } if _W >= 64 { runModNWTests(t, modNWTests32) } } 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\n", i, x, trailingZeroBits(x)) } x <<= 1 } } type expNNNTest struct { x, y, m string out string } var expNNNTests = []expNNNTest{ expNNNTest{"0x8000000000000000", "2", "", "0x40000000000000000000000000000000"}, expNNNTest{"0x8000000000000000", "2", "6719", "4944"}, expNNNTest{"0x8000000000000000", "3", "6719", "5447"}, expNNNTest{"0x8000000000000000", "1000", "6719", "1603"}, expNNNTest{"0x8000000000000000", "1000000", "6719", "3199"}, expNNNTest{ "2938462938472983472983659726349017249287491026512746239764525612965293865296239471239874193284792387498274256129746192347", "298472983472983471903246121093472394872319615612417471234712061", "29834729834729834729347290846729561262544958723956495615629569234729836259263598127342374289365912465901365498236492183464", "23537740700184054162508175125554701713153216681790245129157191391322321508055833908509185839069455749219131480588829346291", }, } func TestExpNNN(t *testing.T) { for i, test := range expNNNTests { x, _, _ := scanN(nil, test.x, 0) y, _, _ := scanN(nil, test.y, 0) out, _, _ := scanN(nil, test.out, 0) var m []Word if len(test.m) > 0 { m, _, _ = scanN(nil, test.m, 0) } z := expNNN(nil, x, y, m) if cmpNN(z, out) != 0 { t.Errorf("#%d got %v want %v", i, z, out) } } }