675 lines
15 KiB
Go
675 lines
15 KiB
Go
// Copyright 2009 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 sort_test
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import (
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"fmt"
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"internal/testenv"
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"math"
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"math/rand"
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. "sort"
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"strconv"
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stringspkg "strings"
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"testing"
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)
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var ints = [...]int{74, 59, 238, -784, 9845, 959, 905, 0, 0, 42, 7586, -5467984, 7586}
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var float64s = [...]float64{74.3, 59.0, math.Inf(1), 238.2, -784.0, 2.3, math.NaN(), math.NaN(), math.Inf(-1), 9845.768, -959.7485, 905, 7.8, 7.8}
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var strings = [...]string{"", "Hello", "foo", "bar", "foo", "f00", "%*&^*&^&", "***"}
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func TestSortIntSlice(t *testing.T) {
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data := ints
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a := IntSlice(data[0:])
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Sort(a)
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if !IsSorted(a) {
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t.Errorf("sorted %v", ints)
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t.Errorf(" got %v", data)
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}
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}
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func TestSortFloat64Slice(t *testing.T) {
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data := float64s
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a := Float64Slice(data[0:])
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Sort(a)
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if !IsSorted(a) {
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t.Errorf("sorted %v", float64s)
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t.Errorf(" got %v", data)
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}
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}
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func TestSortStringSlice(t *testing.T) {
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data := strings
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a := StringSlice(data[0:])
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Sort(a)
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if !IsSorted(a) {
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t.Errorf("sorted %v", strings)
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t.Errorf(" got %v", data)
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}
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}
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func TestInts(t *testing.T) {
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data := ints
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Ints(data[0:])
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if !IntsAreSorted(data[0:]) {
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t.Errorf("sorted %v", ints)
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t.Errorf(" got %v", data)
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}
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}
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func TestFloat64s(t *testing.T) {
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data := float64s
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Float64s(data[0:])
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if !Float64sAreSorted(data[0:]) {
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t.Errorf("sorted %v", float64s)
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t.Errorf(" got %v", data)
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}
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}
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func TestStrings(t *testing.T) {
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data := strings
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Strings(data[0:])
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if !StringsAreSorted(data[0:]) {
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t.Errorf("sorted %v", strings)
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t.Errorf(" got %v", data)
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}
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}
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func TestSlice(t *testing.T) {
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data := strings
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Slice(data[:], func(i, j int) bool {
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return data[i] < data[j]
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})
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if !SliceIsSorted(data[:], func(i, j int) bool { return data[i] < data[j] }) {
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t.Errorf("sorted %v", strings)
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t.Errorf(" got %v", data)
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}
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}
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func TestSortLarge_Random(t *testing.T) {
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n := 1000000
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if testing.Short() {
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n /= 100
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}
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data := make([]int, n)
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for i := 0; i < len(data); i++ {
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data[i] = rand.Intn(100)
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}
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if IntsAreSorted(data) {
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t.Fatalf("terrible rand.rand")
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}
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Ints(data)
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if !IntsAreSorted(data) {
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t.Errorf("sort didn't sort - 1M ints")
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}
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}
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func TestReverseSortIntSlice(t *testing.T) {
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data := ints
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data1 := ints
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a := IntSlice(data[0:])
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Sort(a)
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r := IntSlice(data1[0:])
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Sort(Reverse(r))
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for i := 0; i < len(data); i++ {
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if a[i] != r[len(data)-1-i] {
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t.Errorf("reverse sort didn't sort")
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}
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if i > len(data)/2 {
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break
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}
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}
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}
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type nonDeterministicTestingData struct {
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r *rand.Rand
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}
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func (t *nonDeterministicTestingData) Len() int {
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return 500
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}
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func (t *nonDeterministicTestingData) Less(i, j int) bool {
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if i < 0 || j < 0 || i >= t.Len() || j >= t.Len() {
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panic("nondeterministic comparison out of bounds")
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}
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return t.r.Float32() < 0.5
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}
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func (t *nonDeterministicTestingData) Swap(i, j int) {
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if i < 0 || j < 0 || i >= t.Len() || j >= t.Len() {
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panic("nondeterministic comparison out of bounds")
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}
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}
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func TestNonDeterministicComparison(t *testing.T) {
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// Ensure that sort.Sort does not panic when Less returns inconsistent results.
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// See https://golang.org/issue/14377.
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defer func() {
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if r := recover(); r != nil {
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t.Error(r)
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}
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}()
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td := &nonDeterministicTestingData{
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r: rand.New(rand.NewSource(0)),
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}
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for i := 0; i < 10; i++ {
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Sort(td)
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}
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}
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func BenchmarkSortString1K(b *testing.B) {
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b.StopTimer()
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unsorted := make([]string, 1<<10)
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for i := range unsorted {
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unsorted[i] = strconv.Itoa(i ^ 0x2cc)
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}
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data := make([]string, len(unsorted))
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for i := 0; i < b.N; i++ {
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copy(data, unsorted)
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b.StartTimer()
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Strings(data)
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b.StopTimer()
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}
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}
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func BenchmarkSortString1K_Slice(b *testing.B) {
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b.StopTimer()
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unsorted := make([]string, 1<<10)
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for i := range unsorted {
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unsorted[i] = strconv.Itoa(i ^ 0x2cc)
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}
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data := make([]string, len(unsorted))
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for i := 0; i < b.N; i++ {
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copy(data, unsorted)
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b.StartTimer()
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Slice(data, func(i, j int) bool { return data[i] < data[j] })
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b.StopTimer()
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}
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}
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func BenchmarkStableString1K(b *testing.B) {
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b.StopTimer()
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unsorted := make([]string, 1<<10)
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for i := range unsorted {
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unsorted[i] = strconv.Itoa(i ^ 0x2cc)
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}
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data := make([]string, len(unsorted))
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for i := 0; i < b.N; i++ {
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copy(data, unsorted)
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b.StartTimer()
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Stable(StringSlice(data))
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b.StopTimer()
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}
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}
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func BenchmarkSortInt1K(b *testing.B) {
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b.StopTimer()
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for i := 0; i < b.N; i++ {
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data := make([]int, 1<<10)
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for i := 0; i < len(data); i++ {
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data[i] = i ^ 0x2cc
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}
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b.StartTimer()
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Ints(data)
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b.StopTimer()
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}
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}
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func BenchmarkStableInt1K(b *testing.B) {
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b.StopTimer()
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unsorted := make([]int, 1<<10)
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for i := range unsorted {
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unsorted[i] = i ^ 0x2cc
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}
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data := make([]int, len(unsorted))
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for i := 0; i < b.N; i++ {
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copy(data, unsorted)
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b.StartTimer()
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Stable(IntSlice(data))
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b.StopTimer()
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}
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}
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func BenchmarkStableInt1K_Slice(b *testing.B) {
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b.StopTimer()
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unsorted := make([]int, 1<<10)
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for i := range unsorted {
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unsorted[i] = i ^ 0x2cc
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}
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data := make([]int, len(unsorted))
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for i := 0; i < b.N; i++ {
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copy(data, unsorted)
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b.StartTimer()
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SliceStable(data, func(i, j int) bool { return data[i] < data[j] })
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b.StopTimer()
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}
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}
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func BenchmarkSortInt64K(b *testing.B) {
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b.StopTimer()
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for i := 0; i < b.N; i++ {
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data := make([]int, 1<<16)
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for i := 0; i < len(data); i++ {
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data[i] = i ^ 0xcccc
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}
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b.StartTimer()
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Ints(data)
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b.StopTimer()
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}
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}
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func BenchmarkSortInt64K_Slice(b *testing.B) {
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b.StopTimer()
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for i := 0; i < b.N; i++ {
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data := make([]int, 1<<16)
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for i := 0; i < len(data); i++ {
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data[i] = i ^ 0xcccc
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}
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b.StartTimer()
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Slice(data, func(i, j int) bool { return data[i] < data[j] })
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b.StopTimer()
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}
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}
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func BenchmarkStableInt64K(b *testing.B) {
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b.StopTimer()
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for i := 0; i < b.N; i++ {
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data := make([]int, 1<<16)
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for i := 0; i < len(data); i++ {
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data[i] = i ^ 0xcccc
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}
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b.StartTimer()
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Stable(IntSlice(data))
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b.StopTimer()
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}
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}
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const (
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_Sawtooth = iota
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_Rand
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_Stagger
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_Plateau
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_Shuffle
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_NDist
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)
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const (
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_Copy = iota
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_Reverse
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_ReverseFirstHalf
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_ReverseSecondHalf
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_Sorted
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_Dither
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_NMode
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)
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type testingData struct {
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desc string
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t *testing.T
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data []int
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maxswap int // number of swaps allowed
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ncmp, nswap int
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}
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func (d *testingData) Len() int { return len(d.data) }
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func (d *testingData) Less(i, j int) bool {
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d.ncmp++
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return d.data[i] < d.data[j]
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}
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func (d *testingData) Swap(i, j int) {
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if d.nswap >= d.maxswap {
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d.t.Fatalf("%s: used %d swaps sorting slice of %d", d.desc, d.nswap, len(d.data))
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}
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d.nswap++
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d.data[i], d.data[j] = d.data[j], d.data[i]
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}
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func min(a, b int) int {
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if a < b {
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return a
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}
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return b
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}
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func lg(n int) int {
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i := 0
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for 1<<uint(i) < n {
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i++
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}
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return i
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}
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func testBentleyMcIlroy(t *testing.T, sort func(Interface), maxswap func(int) int) {
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sizes := []int{100, 1023, 1024, 1025}
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if testing.Short() {
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sizes = []int{100, 127, 128, 129}
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}
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dists := []string{"sawtooth", "rand", "stagger", "plateau", "shuffle"}
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modes := []string{"copy", "reverse", "reverse1", "reverse2", "sort", "dither"}
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var tmp1, tmp2 [1025]int
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for _, n := range sizes {
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for m := 1; m < 2*n; m *= 2 {
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for dist := 0; dist < _NDist; dist++ {
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j := 0
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k := 1
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data := tmp1[0:n]
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for i := 0; i < n; i++ {
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switch dist {
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case _Sawtooth:
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data[i] = i % m
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case _Rand:
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data[i] = rand.Intn(m)
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case _Stagger:
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data[i] = (i*m + i) % n
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case _Plateau:
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data[i] = min(i, m)
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case _Shuffle:
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if rand.Intn(m) != 0 {
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j += 2
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data[i] = j
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} else {
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k += 2
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data[i] = k
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}
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}
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}
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mdata := tmp2[0:n]
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for mode := 0; mode < _NMode; mode++ {
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switch mode {
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case _Copy:
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for i := 0; i < n; i++ {
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mdata[i] = data[i]
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}
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case _Reverse:
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for i := 0; i < n; i++ {
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mdata[i] = data[n-i-1]
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}
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case _ReverseFirstHalf:
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for i := 0; i < n/2; i++ {
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mdata[i] = data[n/2-i-1]
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}
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for i := n / 2; i < n; i++ {
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mdata[i] = data[i]
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}
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case _ReverseSecondHalf:
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for i := 0; i < n/2; i++ {
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mdata[i] = data[i]
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}
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for i := n / 2; i < n; i++ {
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mdata[i] = data[n-(i-n/2)-1]
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}
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case _Sorted:
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for i := 0; i < n; i++ {
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mdata[i] = data[i]
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}
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// Ints is known to be correct
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// because mode Sort runs after mode _Copy.
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Ints(mdata)
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case _Dither:
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for i := 0; i < n; i++ {
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mdata[i] = data[i] + i%5
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}
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}
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desc := fmt.Sprintf("n=%d m=%d dist=%s mode=%s", n, m, dists[dist], modes[mode])
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d := &testingData{desc: desc, t: t, data: mdata[0:n], maxswap: maxswap(n)}
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sort(d)
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// Uncomment if you are trying to improve the number of compares/swaps.
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//t.Logf("%s: ncmp=%d, nswp=%d", desc, d.ncmp, d.nswap)
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// If we were testing C qsort, we'd have to make a copy
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// of the slice and sort it ourselves and then compare
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// x against it, to ensure that qsort was only permuting
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// the data, not (for example) overwriting it with zeros.
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//
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// In go, we don't have to be so paranoid: since the only
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// mutating method Sort can call is TestingData.swap,
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// it suffices here just to check that the final slice is sorted.
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if !IntsAreSorted(mdata) {
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t.Fatalf("%s: ints not sorted\n\t%v", desc, mdata)
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}
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}
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}
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}
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}
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}
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func TestSortBM(t *testing.T) {
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testBentleyMcIlroy(t, Sort, func(n int) int { return n * lg(n) * 12 / 10 })
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}
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func TestHeapsortBM(t *testing.T) {
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testBentleyMcIlroy(t, Heapsort, func(n int) int { return n * lg(n) * 12 / 10 })
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}
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func TestStableBM(t *testing.T) {
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testBentleyMcIlroy(t, Stable, func(n int) int { return n * lg(n) * lg(n) / 3 })
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}
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// This is based on the "antiquicksort" implementation by M. Douglas McIlroy.
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// See https://www.cs.dartmouth.edu/~doug/mdmspe.pdf for more info.
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type adversaryTestingData struct {
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t *testing.T
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data []int // item values, initialized to special gas value and changed by Less
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maxcmp int // number of comparisons allowed
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ncmp int // number of comparisons (calls to Less)
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nsolid int // number of elements that have been set to non-gas values
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candidate int // guess at current pivot
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gas int // special value for unset elements, higher than everything else
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}
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func (d *adversaryTestingData) Len() int { return len(d.data) }
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func (d *adversaryTestingData) Less(i, j int) bool {
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if d.ncmp >= d.maxcmp {
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d.t.Fatalf("used %d comparisons sorting adversary data with size %d", d.ncmp, len(d.data))
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}
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d.ncmp++
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if d.data[i] == d.gas && d.data[j] == d.gas {
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if i == d.candidate {
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// freeze i
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d.data[i] = d.nsolid
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d.nsolid++
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} else {
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// freeze j
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d.data[j] = d.nsolid
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d.nsolid++
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}
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}
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if d.data[i] == d.gas {
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d.candidate = i
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} else if d.data[j] == d.gas {
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d.candidate = j
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}
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return d.data[i] < d.data[j]
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}
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func (d *adversaryTestingData) Swap(i, j int) {
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d.data[i], d.data[j] = d.data[j], d.data[i]
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}
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func newAdversaryTestingData(t *testing.T, size int, maxcmp int) *adversaryTestingData {
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gas := size - 1
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data := make([]int, size)
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for i := 0; i < size; i++ {
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data[i] = gas
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}
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return &adversaryTestingData{t: t, data: data, maxcmp: maxcmp, gas: gas}
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}
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func TestAdversary(t *testing.T) {
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const size = 10000 // large enough to distinguish between O(n^2) and O(n*log(n))
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maxcmp := size * lg(size) * 4 // the factor 4 was found by trial and error
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d := newAdversaryTestingData(t, size, maxcmp)
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Sort(d) // This should degenerate to heapsort.
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// Check data is fully populated and sorted.
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for i, v := range d.data {
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if v != i {
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t.Fatalf("adversary data not fully sorted")
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}
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}
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}
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func TestStableInts(t *testing.T) {
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data := ints
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Stable(IntSlice(data[0:]))
|
|
if !IntsAreSorted(data[0:]) {
|
|
t.Errorf("nsorted %v\n got %v", ints, data)
|
|
}
|
|
}
|
|
|
|
type intPairs []struct {
|
|
a, b int
|
|
}
|
|
|
|
// IntPairs compare on a only.
|
|
func (d intPairs) Len() int { return len(d) }
|
|
func (d intPairs) Less(i, j int) bool { return d[i].a < d[j].a }
|
|
func (d intPairs) Swap(i, j int) { d[i], d[j] = d[j], d[i] }
|
|
|
|
// Record initial order in B.
|
|
func (d intPairs) initB() {
|
|
for i := range d {
|
|
d[i].b = i
|
|
}
|
|
}
|
|
|
|
// InOrder checks if a-equal elements were not reordered.
|
|
func (d intPairs) inOrder() bool {
|
|
lastA, lastB := -1, 0
|
|
for i := 0; i < len(d); i++ {
|
|
if lastA != d[i].a {
|
|
lastA = d[i].a
|
|
lastB = d[i].b
|
|
continue
|
|
}
|
|
if d[i].b <= lastB {
|
|
return false
|
|
}
|
|
lastB = d[i].b
|
|
}
|
|
return true
|
|
}
|
|
|
|
func TestStability(t *testing.T) {
|
|
n, m := 100000, 1000
|
|
if testing.Short() {
|
|
n, m = 1000, 100
|
|
}
|
|
data := make(intPairs, n)
|
|
|
|
// random distribution
|
|
for i := 0; i < len(data); i++ {
|
|
data[i].a = rand.Intn(m)
|
|
}
|
|
if IsSorted(data) {
|
|
t.Fatalf("terrible rand.rand")
|
|
}
|
|
data.initB()
|
|
Stable(data)
|
|
if !IsSorted(data) {
|
|
t.Errorf("Stable didn't sort %d ints", n)
|
|
}
|
|
if !data.inOrder() {
|
|
t.Errorf("Stable wasn't stable on %d ints", n)
|
|
}
|
|
|
|
// already sorted
|
|
data.initB()
|
|
Stable(data)
|
|
if !IsSorted(data) {
|
|
t.Errorf("Stable shuffled sorted %d ints (order)", n)
|
|
}
|
|
if !data.inOrder() {
|
|
t.Errorf("Stable shuffled sorted %d ints (stability)", n)
|
|
}
|
|
|
|
// sorted reversed
|
|
for i := 0; i < len(data); i++ {
|
|
data[i].a = len(data) - i
|
|
}
|
|
data.initB()
|
|
Stable(data)
|
|
if !IsSorted(data) {
|
|
t.Errorf("Stable didn't sort %d ints", n)
|
|
}
|
|
if !data.inOrder() {
|
|
t.Errorf("Stable wasn't stable on %d ints", n)
|
|
}
|
|
}
|
|
|
|
var countOpsSizes = []int{1e2, 3e2, 1e3, 3e3, 1e4, 3e4, 1e5, 3e5, 1e6}
|
|
|
|
func countOps(t *testing.T, algo func(Interface), name string) {
|
|
sizes := countOpsSizes
|
|
if testing.Short() {
|
|
sizes = sizes[:5]
|
|
}
|
|
if !testing.Verbose() {
|
|
t.Skip("Counting skipped as non-verbose mode.")
|
|
}
|
|
for _, n := range sizes {
|
|
td := testingData{
|
|
desc: name,
|
|
t: t,
|
|
data: make([]int, n),
|
|
maxswap: 1<<31 - 1,
|
|
}
|
|
for i := 0; i < n; i++ {
|
|
td.data[i] = rand.Intn(n / 5)
|
|
}
|
|
algo(&td)
|
|
t.Logf("%s %8d elements: %11d Swap, %10d Less", name, n, td.nswap, td.ncmp)
|
|
}
|
|
}
|
|
|
|
func TestCountStableOps(t *testing.T) { countOps(t, Stable, "Stable") }
|
|
func TestCountSortOps(t *testing.T) { countOps(t, Sort, "Sort ") }
|
|
|
|
func bench(b *testing.B, size int, algo func(Interface), name string) {
|
|
if stringspkg.HasSuffix(testenv.Builder(), "-race") && size > 1e4 {
|
|
b.Skip("skipping slow benchmark on race builder")
|
|
}
|
|
b.StopTimer()
|
|
data := make(intPairs, size)
|
|
x := ^uint32(0)
|
|
for i := 0; i < b.N; i++ {
|
|
for n := size - 3; n <= size+3; n++ {
|
|
for i := 0; i < len(data); i++ {
|
|
x += x
|
|
x ^= 1
|
|
if int32(x) < 0 {
|
|
x ^= 0x88888eef
|
|
}
|
|
data[i].a = int(x % uint32(n/5))
|
|
}
|
|
data.initB()
|
|
b.StartTimer()
|
|
algo(data)
|
|
b.StopTimer()
|
|
if !IsSorted(data) {
|
|
b.Errorf("%s did not sort %d ints", name, n)
|
|
}
|
|
if name == "Stable" && !data.inOrder() {
|
|
b.Errorf("%s unstable on %d ints", name, n)
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
func BenchmarkSort1e2(b *testing.B) { bench(b, 1e2, Sort, "Sort") }
|
|
func BenchmarkStable1e2(b *testing.B) { bench(b, 1e2, Stable, "Stable") }
|
|
func BenchmarkSort1e4(b *testing.B) { bench(b, 1e4, Sort, "Sort") }
|
|
func BenchmarkStable1e4(b *testing.B) { bench(b, 1e4, Stable, "Stable") }
|
|
func BenchmarkSort1e6(b *testing.B) { bench(b, 1e6, Sort, "Sort") }
|
|
func BenchmarkStable1e6(b *testing.B) { bench(b, 1e6, Stable, "Stable") }
|