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747 |
jeremybenn |
// Copyright 2010 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package big
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import (
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"bytes"
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"encoding/gob"
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"fmt"
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"testing"
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)
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func TestZeroRat(t *testing.T) {
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var x, y, z Rat
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y.SetFrac64(0, 42)
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if x.Cmp(&y) != 0 {
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t.Errorf("x and y should be both equal and zero")
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}
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if s := x.String(); s != "0/1" {
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t.Errorf("got x = %s, want 0/1", s)
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}
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if s := x.RatString(); s != "0" {
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t.Errorf("got x = %s, want 0", s)
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}
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z.Add(&x, &y)
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if s := z.RatString(); s != "0" {
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t.Errorf("got x+y = %s, want 0", s)
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}
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z.Sub(&x, &y)
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if s := z.RatString(); s != "0" {
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t.Errorf("got x-y = %s, want 0", s)
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}
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z.Mul(&x, &y)
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if s := z.RatString(); s != "0" {
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t.Errorf("got x*y = %s, want 0", s)
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}
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// check for division by zero
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defer func() {
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if s := recover(); s == nil || s.(string) != "division by zero" {
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panic(s)
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}
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}()
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z.Quo(&x, &y)
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}
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var setStringTests = []struct {
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in, out string
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ok bool
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}{
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{"0", "0", true},
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{"-0", "0", true},
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{"1", "1", true},
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{"-1", "-1", true},
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{"1.", "1", true},
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{"1e0", "1", true},
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{"1.e1", "10", true},
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{in: "1e", ok: false},
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{in: "1.e", ok: false},
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{in: "1e+14e-5", ok: false},
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{in: "1e4.5", ok: false},
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{in: "r", ok: false},
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{in: "a/b", ok: false},
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{in: "a.b", ok: false},
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{"-0.1", "-1/10", true},
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{"-.1", "-1/10", true},
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{"2/4", "1/2", true},
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{".25", "1/4", true},
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{"-1/5", "-1/5", true},
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{"8129567.7690E14", "812956776900000000000", true},
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{"78189e+4", "781890000", true},
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{"553019.8935e+8", "55301989350000", true},
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{"98765432109876543210987654321e-10", "98765432109876543210987654321/10000000000", true},
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{"9877861857500000E-7", "3951144743/4", true},
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{"2169378.417e-3", "2169378417/1000000", true},
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{"884243222337379604041632732738665534", "884243222337379604041632732738665534", true},
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{"53/70893980658822810696", "53/70893980658822810696", true},
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{"106/141787961317645621392", "53/70893980658822810696", true},
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{"204211327800791583.81095", "4084226556015831676219/20000", true},
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}
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func TestRatSetString(t *testing.T) {
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for i, test := range setStringTests {
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x, ok := new(Rat).SetString(test.in)
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if ok {
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if !test.ok {
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t.Errorf("#%d SetString(%q) expected failure", i, test.in)
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} else if x.RatString() != test.out {
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t.Errorf("#%d SetString(%q) got %s want %s", i, test.in, x.RatString(), test.out)
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}
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} else if x != nil {
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t.Errorf("#%d SetString(%q) got %p want nil", i, test.in, x)
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}
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}
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}
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func TestRatScan(t *testing.T) {
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var buf bytes.Buffer
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for i, test := range setStringTests {
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x := new(Rat)
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buf.Reset()
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buf.WriteString(test.in)
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_, err := fmt.Fscanf(&buf, "%v", x)
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if err == nil != test.ok {
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if test.ok {
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t.Errorf("#%d error: %s", i, err)
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} else {
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t.Errorf("#%d expected error", i)
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}
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continue
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}
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if err == nil && x.RatString() != test.out {
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t.Errorf("#%d got %s want %s", i, x.RatString(), test.out)
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}
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}
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}
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var floatStringTests = []struct {
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in string
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prec int
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out string
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}{
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{"0", 0, "0"},
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{"0", 4, "0.0000"},
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{"1", 0, "1"},
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{"1", 2, "1.00"},
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{"-1", 0, "-1"},
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{".25", 2, "0.25"},
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{".25", 1, "0.3"},
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{".25", 3, "0.250"},
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{"-1/3", 3, "-0.333"},
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{"-2/3", 4, "-0.6667"},
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{"0.96", 1, "1.0"},
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{"0.999", 2, "1.00"},
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{"0.9", 0, "1"},
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{".25", -1, "0"},
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{".55", -1, "1"},
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}
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func TestFloatString(t *testing.T) {
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for i, test := range floatStringTests {
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x, _ := new(Rat).SetString(test.in)
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if x.FloatString(test.prec) != test.out {
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t.Errorf("#%d got %s want %s", i, x.FloatString(test.prec), test.out)
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}
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}
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}
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func TestRatSign(t *testing.T) {
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zero := NewRat(0, 1)
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for _, a := range setStringTests {
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x, ok := new(Rat).SetString(a.in)
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if !ok {
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continue
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}
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s := x.Sign()
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e := x.Cmp(zero)
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if s != e {
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t.Errorf("got %d; want %d for z = %v", s, e, &x)
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}
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}
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}
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var ratCmpTests = []struct {
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rat1, rat2 string
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out int
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}{
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{"0", "0/1", 0},
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{"1/1", "1", 0},
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{"-1", "-2/2", 0},
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{"1", "0", 1},
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{"0/1", "1/1", -1},
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{"-5/1434770811533343057144", "-5/1434770811533343057145", -1},
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{"49832350382626108453/8964749413", "49832350382626108454/8964749413", -1},
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{"-37414950961700930/7204075375675961", "37414950961700930/7204075375675961", -1},
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{"37414950961700930/7204075375675961", "74829901923401860/14408150751351922", 0},
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}
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func TestRatCmp(t *testing.T) {
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for i, test := range ratCmpTests {
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x, _ := new(Rat).SetString(test.rat1)
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y, _ := new(Rat).SetString(test.rat2)
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out := x.Cmp(y)
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if out != test.out {
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t.Errorf("#%d got out = %v; want %v", i, out, test.out)
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}
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}
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}
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func TestIsInt(t *testing.T) {
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one := NewInt(1)
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for _, a := range setStringTests {
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x, ok := new(Rat).SetString(a.in)
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if !ok {
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continue
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}
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i := x.IsInt()
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e := x.Denom().Cmp(one) == 0
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if i != e {
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t.Errorf("got IsInt(%v) == %v; want %v", x, i, e)
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}
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}
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}
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func TestRatAbs(t *testing.T) {
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zero := new(Rat)
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for _, a := range setStringTests {
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x, ok := new(Rat).SetString(a.in)
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if !ok {
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continue
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}
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e := new(Rat).Set(x)
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if e.Cmp(zero) < 0 {
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e.Sub(zero, e)
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}
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z := new(Rat).Abs(x)
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if z.Cmp(e) != 0 {
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t.Errorf("got Abs(%v) = %v; want %v", x, z, e)
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}
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}
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}
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func TestRatNeg(t *testing.T) {
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zero := new(Rat)
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for _, a := range setStringTests {
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x, ok := new(Rat).SetString(a.in)
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if !ok {
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continue
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}
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e := new(Rat).Sub(zero, x)
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z := new(Rat).Neg(x)
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if z.Cmp(e) != 0 {
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t.Errorf("got Neg(%v) = %v; want %v", x, z, e)
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}
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}
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}
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func TestRatInv(t *testing.T) {
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zero := new(Rat)
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for _, a := range setStringTests {
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x, ok := new(Rat).SetString(a.in)
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if !ok {
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continue
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}
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if x.Cmp(zero) == 0 {
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continue // avoid division by zero
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}
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e := new(Rat).SetFrac(x.Denom(), x.Num())
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z := new(Rat).Inv(x)
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if z.Cmp(e) != 0 {
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t.Errorf("got Inv(%v) = %v; want %v", x, z, e)
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}
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}
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}
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type ratBinFun func(z, x, y *Rat) *Rat
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type ratBinArg struct {
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x, y, z string
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}
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func testRatBin(t *testing.T, i int, name string, f ratBinFun, a ratBinArg) {
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x, _ := new(Rat).SetString(a.x)
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y, _ := new(Rat).SetString(a.y)
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z, _ := new(Rat).SetString(a.z)
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| 276 |
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out := f(new(Rat), x, y)
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if out.Cmp(z) != 0 {
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t.Errorf("%s #%d got %s want %s", name, i, out, z)
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}
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| 281 |
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}
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| 282 |
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| 283 |
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var ratBinTests = []struct {
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| 284 |
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x, y string
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| 285 |
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sum, prod string
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| 286 |
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}{
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| 287 |
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{"0", "0", "0", "0"},
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| 288 |
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{"0", "1", "1", "0"},
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| 289 |
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{"-1", "0", "-1", "0"},
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| 290 |
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{"-1", "1", "0", "-1"},
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| 291 |
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{"1", "1", "2", "1"},
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| 292 |
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{"1/2", "1/2", "1", "1/4"},
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| 293 |
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{"1/4", "1/3", "7/12", "1/12"},
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| 294 |
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{"2/5", "-14/3", "-64/15", "-28/15"},
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| 295 |
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{"4707/49292519774798173060", "-3367/70976135186689855734", "84058377121001851123459/1749296273614329067191168098769082663020", "-1760941/388732505247628681598037355282018369560"},
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| 296 |
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{"-61204110018146728334/3", "-31052192278051565633/2", "-215564796870448153567/6", "950260896245257153059642991192710872711/3"},
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| 297 |
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{"-854857841473707320655/4237645934602118692642972629634714039", "-18/31750379913563777419", "-27/133467566250814981", "15387441146526731771790/134546868362786310073779084329032722548987800600710485341"},
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| 298 |
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{"618575745270541348005638912139/19198433543745179392300736", "-19948846211000086/637313996471", "27674141753240653/30123979153216", "-6169936206128396568797607742807090270137721977/6117715203873571641674006593837351328"},
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| 299 |
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{"-3/26206484091896184128", "5/2848423294177090248", "15310893822118706237/9330894968229805033368778458685147968", "-5/24882386581946146755650075889827061248"},
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{"26946729/330400702820", "41563965/225583428284", "1238218672302860271/4658307703098666660055", "224002580204097/14906584649915733312176"},
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{"-8259900599013409474/7", "-84829337473700364773/56707961321161574960", "-468402123685491748914621885145127724451/396955729248131024720", "350340947706464153265156004876107029701/198477864624065512360"},
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{"575775209696864/1320203974639986246357", "29/712593081308", "410331716733912717985762465/940768218243776489278275419794956", "808/45524274987585732633"},
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{"1786597389946320496771/2066653520653241", "6269770/1992362624741777", "3559549865190272133656109052308126637/4117523232840525481453983149257", "8967230/3296219033"},
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| 304 |
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{"-36459180403360509753/32150500941194292113930", "9381566963714/9633539", "301622077145533298008420642898530153/309723104686531919656937098270", "-3784609207827/3426986245"},
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| 305 |
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}
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| 306 |
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| 307 |
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func TestRatBin(t *testing.T) {
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| 308 |
|
|
for i, test := range ratBinTests {
|
| 309 |
|
|
arg := ratBinArg{test.x, test.y, test.sum}
|
| 310 |
|
|
testRatBin(t, i, "Add", (*Rat).Add, arg)
|
| 311 |
|
|
|
| 312 |
|
|
arg = ratBinArg{test.y, test.x, test.sum}
|
| 313 |
|
|
testRatBin(t, i, "Add symmetric", (*Rat).Add, arg)
|
| 314 |
|
|
|
| 315 |
|
|
arg = ratBinArg{test.sum, test.x, test.y}
|
| 316 |
|
|
testRatBin(t, i, "Sub", (*Rat).Sub, arg)
|
| 317 |
|
|
|
| 318 |
|
|
arg = ratBinArg{test.sum, test.y, test.x}
|
| 319 |
|
|
testRatBin(t, i, "Sub symmetric", (*Rat).Sub, arg)
|
| 320 |
|
|
|
| 321 |
|
|
arg = ratBinArg{test.x, test.y, test.prod}
|
| 322 |
|
|
testRatBin(t, i, "Mul", (*Rat).Mul, arg)
|
| 323 |
|
|
|
| 324 |
|
|
arg = ratBinArg{test.y, test.x, test.prod}
|
| 325 |
|
|
testRatBin(t, i, "Mul symmetric", (*Rat).Mul, arg)
|
| 326 |
|
|
|
| 327 |
|
|
if test.x != "0" {
|
| 328 |
|
|
arg = ratBinArg{test.prod, test.x, test.y}
|
| 329 |
|
|
testRatBin(t, i, "Quo", (*Rat).Quo, arg)
|
| 330 |
|
|
}
|
| 331 |
|
|
|
| 332 |
|
|
if test.y != "0" {
|
| 333 |
|
|
arg = ratBinArg{test.prod, test.y, test.x}
|
| 334 |
|
|
testRatBin(t, i, "Quo symmetric", (*Rat).Quo, arg)
|
| 335 |
|
|
}
|
| 336 |
|
|
}
|
| 337 |
|
|
}
|
| 338 |
|
|
|
| 339 |
|
|
func TestIssue820(t *testing.T) {
|
| 340 |
|
|
x := NewRat(3, 1)
|
| 341 |
|
|
y := NewRat(2, 1)
|
| 342 |
|
|
z := y.Quo(x, y)
|
| 343 |
|
|
q := NewRat(3, 2)
|
| 344 |
|
|
if z.Cmp(q) != 0 {
|
| 345 |
|
|
t.Errorf("got %s want %s", z, q)
|
| 346 |
|
|
}
|
| 347 |
|
|
|
| 348 |
|
|
y = NewRat(3, 1)
|
| 349 |
|
|
x = NewRat(2, 1)
|
| 350 |
|
|
z = y.Quo(x, y)
|
| 351 |
|
|
q = NewRat(2, 3)
|
| 352 |
|
|
if z.Cmp(q) != 0 {
|
| 353 |
|
|
t.Errorf("got %s want %s", z, q)
|
| 354 |
|
|
}
|
| 355 |
|
|
|
| 356 |
|
|
x = NewRat(3, 1)
|
| 357 |
|
|
z = x.Quo(x, x)
|
| 358 |
|
|
q = NewRat(3, 3)
|
| 359 |
|
|
if z.Cmp(q) != 0 {
|
| 360 |
|
|
t.Errorf("got %s want %s", z, q)
|
| 361 |
|
|
}
|
| 362 |
|
|
}
|
| 363 |
|
|
|
| 364 |
|
|
var setFrac64Tests = []struct {
|
| 365 |
|
|
a, b int64
|
| 366 |
|
|
out string
|
| 367 |
|
|
}{
|
| 368 |
|
|
{0, 1, "0"},
|
| 369 |
|
|
{0, -1, "0"},
|
| 370 |
|
|
{1, 1, "1"},
|
| 371 |
|
|
{-1, 1, "-1"},
|
| 372 |
|
|
{1, -1, "-1"},
|
| 373 |
|
|
{-1, -1, "1"},
|
| 374 |
|
|
{-9223372036854775808, -9223372036854775808, "1"},
|
| 375 |
|
|
}
|
| 376 |
|
|
|
| 377 |
|
|
func TestRatSetFrac64Rat(t *testing.T) {
|
| 378 |
|
|
for i, test := range setFrac64Tests {
|
| 379 |
|
|
x := new(Rat).SetFrac64(test.a, test.b)
|
| 380 |
|
|
if x.RatString() != test.out {
|
| 381 |
|
|
t.Errorf("#%d got %s want %s", i, x.RatString(), test.out)
|
| 382 |
|
|
}
|
| 383 |
|
|
}
|
| 384 |
|
|
}
|
| 385 |
|
|
|
| 386 |
|
|
func TestRatGobEncoding(t *testing.T) {
|
| 387 |
|
|
var medium bytes.Buffer
|
| 388 |
|
|
enc := gob.NewEncoder(&medium)
|
| 389 |
|
|
dec := gob.NewDecoder(&medium)
|
| 390 |
|
|
for i, test := range gobEncodingTests {
|
| 391 |
|
|
for j := 0; j < 4; j++ {
|
| 392 |
|
|
medium.Reset() // empty buffer for each test case (in case of failures)
|
| 393 |
|
|
stest := test
|
| 394 |
|
|
if j&1 != 0 {
|
| 395 |
|
|
// negative numbers
|
| 396 |
|
|
stest = "-" + test
|
| 397 |
|
|
}
|
| 398 |
|
|
if j%2 != 0 {
|
| 399 |
|
|
// fractions
|
| 400 |
|
|
stest = stest + "." + test
|
| 401 |
|
|
}
|
| 402 |
|
|
var tx Rat
|
| 403 |
|
|
tx.SetString(stest)
|
| 404 |
|
|
if err := enc.Encode(&tx); err != nil {
|
| 405 |
|
|
t.Errorf("#%d%c: encoding failed: %s", i, 'a'+j, err)
|
| 406 |
|
|
}
|
| 407 |
|
|
var rx Rat
|
| 408 |
|
|
if err := dec.Decode(&rx); err != nil {
|
| 409 |
|
|
t.Errorf("#%d%c: decoding failed: %s", i, 'a'+j, err)
|
| 410 |
|
|
}
|
| 411 |
|
|
if rx.Cmp(&tx) != 0 {
|
| 412 |
|
|
t.Errorf("#%d%c: transmission failed: got %s want %s", i, 'a'+j, &rx, &tx)
|
| 413 |
|
|
}
|
| 414 |
|
|
}
|
| 415 |
|
|
}
|
| 416 |
|
|
}
|
| 417 |
|
|
|
| 418 |
|
|
func TestIssue2379(t *testing.T) {
|
| 419 |
|
|
// 1) no aliasing
|
| 420 |
|
|
q := NewRat(3, 2)
|
| 421 |
|
|
x := new(Rat)
|
| 422 |
|
|
x.SetFrac(NewInt(3), NewInt(2))
|
| 423 |
|
|
if x.Cmp(q) != 0 {
|
| 424 |
|
|
t.Errorf("1) got %s want %s", x, q)
|
| 425 |
|
|
}
|
| 426 |
|
|
|
| 427 |
|
|
// 2) aliasing of numerator
|
| 428 |
|
|
x = NewRat(2, 3)
|
| 429 |
|
|
x.SetFrac(NewInt(3), x.Num())
|
| 430 |
|
|
if x.Cmp(q) != 0 {
|
| 431 |
|
|
t.Errorf("2) got %s want %s", x, q)
|
| 432 |
|
|
}
|
| 433 |
|
|
|
| 434 |
|
|
// 3) aliasing of denominator
|
| 435 |
|
|
x = NewRat(2, 3)
|
| 436 |
|
|
x.SetFrac(x.Denom(), NewInt(2))
|
| 437 |
|
|
if x.Cmp(q) != 0 {
|
| 438 |
|
|
t.Errorf("3) got %s want %s", x, q)
|
| 439 |
|
|
}
|
| 440 |
|
|
|
| 441 |
|
|
// 4) aliasing of numerator and denominator
|
| 442 |
|
|
x = NewRat(2, 3)
|
| 443 |
|
|
x.SetFrac(x.Denom(), x.Num())
|
| 444 |
|
|
if x.Cmp(q) != 0 {
|
| 445 |
|
|
t.Errorf("4) got %s want %s", x, q)
|
| 446 |
|
|
}
|
| 447 |
|
|
|
| 448 |
|
|
// 5) numerator and denominator are the same
|
| 449 |
|
|
q = NewRat(1, 1)
|
| 450 |
|
|
x = new(Rat)
|
| 451 |
|
|
n := NewInt(7)
|
| 452 |
|
|
x.SetFrac(n, n)
|
| 453 |
|
|
if x.Cmp(q) != 0 {
|
| 454 |
|
|
t.Errorf("5) got %s want %s", x, q)
|
| 455 |
|
|
}
|
| 456 |
|
|
}
|
