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-rw-r--r--src/sort/sort_test.go553
1 files changed, 553 insertions, 0 deletions
diff --git a/src/sort/sort_test.go b/src/sort/sort_test.go
new file mode 100644
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+++ b/src/sort/sort_test.go
@@ -0,0 +1,553 @@
+// 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 sort_test
+
+import (
+ "fmt"
+ "math"
+ "math/rand"
+ . "sort"
+ "strconv"
+ "testing"
+)
+
+var ints = [...]int{74, 59, 238, -784, 9845, 959, 905, 0, 0, 42, 7586, -5467984, 7586}
+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}
+var strings = [...]string{"", "Hello", "foo", "bar", "foo", "f00", "%*&^*&^&", "***"}
+
+func TestSortIntSlice(t *testing.T) {
+ data := ints
+ a := IntSlice(data[0:])
+ Sort(a)
+ if !IsSorted(a) {
+ t.Errorf("sorted %v", ints)
+ t.Errorf(" got %v", data)
+ }
+}
+
+func TestSortFloat64Slice(t *testing.T) {
+ data := float64s
+ a := Float64Slice(data[0:])
+ Sort(a)
+ if !IsSorted(a) {
+ t.Errorf("sorted %v", float64s)
+ t.Errorf(" got %v", data)
+ }
+}
+
+func TestSortStringSlice(t *testing.T) {
+ data := strings
+ a := StringSlice(data[0:])
+ Sort(a)
+ if !IsSorted(a) {
+ t.Errorf("sorted %v", strings)
+ t.Errorf(" got %v", data)
+ }
+}
+
+func TestInts(t *testing.T) {
+ data := ints
+ Ints(data[0:])
+ if !IntsAreSorted(data[0:]) {
+ t.Errorf("sorted %v", ints)
+ t.Errorf(" got %v", data)
+ }
+}
+
+func TestFloat64s(t *testing.T) {
+ data := float64s
+ Float64s(data[0:])
+ if !Float64sAreSorted(data[0:]) {
+ t.Errorf("sorted %v", float64s)
+ t.Errorf(" got %v", data)
+ }
+}
+
+func TestStrings(t *testing.T) {
+ data := strings
+ Strings(data[0:])
+ if !StringsAreSorted(data[0:]) {
+ t.Errorf("sorted %v", strings)
+ t.Errorf(" got %v", data)
+ }
+}
+
+func TestSortLarge_Random(t *testing.T) {
+ n := 1000000
+ if testing.Short() {
+ n /= 100
+ }
+ data := make([]int, n)
+ for i := 0; i < len(data); i++ {
+ data[i] = rand.Intn(100)
+ }
+ if IntsAreSorted(data) {
+ t.Fatalf("terrible rand.rand")
+ }
+ Ints(data)
+ if !IntsAreSorted(data) {
+ t.Errorf("sort didn't sort - 1M ints")
+ }
+}
+
+func TestReverseSortIntSlice(t *testing.T) {
+ data := ints
+ data1 := ints
+ a := IntSlice(data[0:])
+ Sort(a)
+ r := IntSlice(data1[0:])
+ Sort(Reverse(r))
+ for i := 0; i < len(data); i++ {
+ if a[i] != r[len(data)-1-i] {
+ t.Errorf("reverse sort didn't sort")
+ }
+ if i > len(data)/2 {
+ break
+ }
+ }
+}
+
+func BenchmarkSortString1K(b *testing.B) {
+ b.StopTimer()
+ for i := 0; i < b.N; i++ {
+ data := make([]string, 1<<10)
+ for i := 0; i < len(data); i++ {
+ data[i] = strconv.Itoa(i ^ 0x2cc)
+ }
+ b.StartTimer()
+ Strings(data)
+ b.StopTimer()
+ }
+}
+
+func BenchmarkStableString1K(b *testing.B) {
+ b.StopTimer()
+ for i := 0; i < b.N; i++ {
+ data := make([]string, 1<<10)
+ for i := 0; i < len(data); i++ {
+ data[i] = strconv.Itoa(i ^ 0x2cc)
+ }
+ b.StartTimer()
+ Stable(StringSlice(data))
+ b.StopTimer()
+ }
+}
+
+func BenchmarkSortInt1K(b *testing.B) {
+ b.StopTimer()
+ for i := 0; i < b.N; i++ {
+ data := make([]int, 1<<10)
+ for i := 0; i < len(data); i++ {
+ data[i] = i ^ 0x2cc
+ }
+ b.StartTimer()
+ Ints(data)
+ b.StopTimer()
+ }
+}
+
+func BenchmarkStableInt1K(b *testing.B) {
+ b.StopTimer()
+ for i := 0; i < b.N; i++ {
+ data := make([]int, 1<<10)
+ for i := 0; i < len(data); i++ {
+ data[i] = i ^ 0x2cc
+ }
+ b.StartTimer()
+ Stable(IntSlice(data))
+ b.StopTimer()
+ }
+}
+
+func BenchmarkSortInt64K(b *testing.B) {
+ b.StopTimer()
+ for i := 0; i < b.N; i++ {
+ data := make([]int, 1<<16)
+ for i := 0; i < len(data); i++ {
+ data[i] = i ^ 0xcccc
+ }
+ b.StartTimer()
+ Ints(data)
+ b.StopTimer()
+ }
+}
+
+func BenchmarkStableInt64K(b *testing.B) {
+ b.StopTimer()
+ for i := 0; i < b.N; i++ {
+ data := make([]int, 1<<16)
+ for i := 0; i < len(data); i++ {
+ data[i] = i ^ 0xcccc
+ }
+ b.StartTimer()
+ Stable(IntSlice(data))
+ b.StopTimer()
+ }
+}
+
+const (
+ _Sawtooth = iota
+ _Rand
+ _Stagger
+ _Plateau
+ _Shuffle
+ _NDist
+)
+
+const (
+ _Copy = iota
+ _Reverse
+ _ReverseFirstHalf
+ _ReverseSecondHalf
+ _Sorted
+ _Dither
+ _NMode
+)
+
+type testingData struct {
+ desc string
+ t *testing.T
+ data []int
+ maxswap int // number of swaps allowed
+ ncmp, nswap int
+}
+
+func (d *testingData) Len() int { return len(d.data) }
+func (d *testingData) Less(i, j int) bool {
+ d.ncmp++
+ return d.data[i] < d.data[j]
+}
+func (d *testingData) Swap(i, j int) {
+ if d.nswap >= d.maxswap {
+ d.t.Errorf("%s: used %d swaps sorting slice of %d", d.desc, d.nswap, len(d.data))
+ d.t.FailNow()
+ }
+ d.nswap++
+ d.data[i], d.data[j] = d.data[j], d.data[i]
+}
+
+func min(a, b int) int {
+ if a < b {
+ return a
+ }
+ return b
+}
+
+func lg(n int) int {
+ i := 0
+ for 1<<uint(i) < n {
+ i++
+ }
+ return i
+}
+
+func testBentleyMcIlroy(t *testing.T, sort func(Interface), maxswap func(int) int) {
+ sizes := []int{100, 1023, 1024, 1025}
+ if testing.Short() {
+ sizes = []int{100, 127, 128, 129}
+ }
+ dists := []string{"sawtooth", "rand", "stagger", "plateau", "shuffle"}
+ modes := []string{"copy", "reverse", "reverse1", "reverse2", "sort", "dither"}
+ var tmp1, tmp2 [1025]int
+ for _, n := range sizes {
+ for m := 1; m < 2*n; m *= 2 {
+ for dist := 0; dist < _NDist; dist++ {
+ j := 0
+ k := 1
+ data := tmp1[0:n]
+ for i := 0; i < n; i++ {
+ switch dist {
+ case _Sawtooth:
+ data[i] = i % m
+ case _Rand:
+ data[i] = rand.Intn(m)
+ case _Stagger:
+ data[i] = (i*m + i) % n
+ case _Plateau:
+ data[i] = min(i, m)
+ case _Shuffle:
+ if rand.Intn(m) != 0 {
+ j += 2
+ data[i] = j
+ } else {
+ k += 2
+ data[i] = k
+ }
+ }
+ }
+
+ mdata := tmp2[0:n]
+ for mode := 0; mode < _NMode; mode++ {
+ switch mode {
+ case _Copy:
+ for i := 0; i < n; i++ {
+ mdata[i] = data[i]
+ }
+ case _Reverse:
+ for i := 0; i < n; i++ {
+ mdata[i] = data[n-i-1]
+ }
+ case _ReverseFirstHalf:
+ for i := 0; i < n/2; i++ {
+ mdata[i] = data[n/2-i-1]
+ }
+ for i := n / 2; i < n; i++ {
+ mdata[i] = data[i]
+ }
+ case _ReverseSecondHalf:
+ for i := 0; i < n/2; i++ {
+ mdata[i] = data[i]
+ }
+ for i := n / 2; i < n; i++ {
+ mdata[i] = data[n-(i-n/2)-1]
+ }
+ case _Sorted:
+ for i := 0; i < n; i++ {
+ mdata[i] = data[i]
+ }
+ // Ints is known to be correct
+ // because mode Sort runs after mode _Copy.
+ Ints(mdata)
+ case _Dither:
+ for i := 0; i < n; i++ {
+ mdata[i] = data[i] + i%5
+ }
+ }
+
+ desc := fmt.Sprintf("n=%d m=%d dist=%s mode=%s", n, m, dists[dist], modes[mode])
+ d := &testingData{desc: desc, t: t, data: mdata[0:n], maxswap: maxswap(n)}
+ sort(d)
+ // Uncomment if you are trying to improve the number of compares/swaps.
+ //t.Logf("%s: ncmp=%d, nswp=%d", desc, d.ncmp, d.nswap)
+
+ // If we were testing C qsort, we'd have to make a copy
+ // of the slice and sort it ourselves and then compare
+ // x against it, to ensure that qsort was only permuting
+ // the data, not (for example) overwriting it with zeros.
+ //
+ // In go, we don't have to be so paranoid: since the only
+ // mutating method Sort can call is TestingData.swap,
+ // it suffices here just to check that the final slice is sorted.
+ if !IntsAreSorted(mdata) {
+ t.Errorf("%s: ints not sorted", desc)
+ t.Errorf("\t%v", mdata)
+ t.FailNow()
+ }
+ }
+ }
+ }
+ }
+}
+
+func TestSortBM(t *testing.T) {
+ testBentleyMcIlroy(t, Sort, func(n int) int { return n * lg(n) * 12 / 10 })
+}
+
+func TestHeapsortBM(t *testing.T) {
+ testBentleyMcIlroy(t, Heapsort, func(n int) int { return n * lg(n) * 12 / 10 })
+}
+
+func TestStableBM(t *testing.T) {
+ testBentleyMcIlroy(t, Stable, func(n int) int { return n * lg(n) * lg(n) / 3 })
+}
+
+// This is based on the "antiquicksort" implementation by M. Douglas McIlroy.
+// See http://www.cs.dartmouth.edu/~doug/mdmspe.pdf for more info.
+type adversaryTestingData struct {
+ data []int
+ keys map[int]int
+ candidate int
+}
+
+func (d *adversaryTestingData) Len() int { return len(d.data) }
+
+func (d *adversaryTestingData) Less(i, j int) bool {
+ if _, present := d.keys[i]; !present {
+ if _, present := d.keys[j]; !present {
+ if i == d.candidate {
+ d.keys[i] = len(d.keys)
+ } else {
+ d.keys[j] = len(d.keys)
+ }
+ }
+ }
+
+ if _, present := d.keys[i]; !present {
+ d.candidate = i
+ return false
+ }
+ if _, present := d.keys[j]; !present {
+ d.candidate = j
+ return true
+ }
+
+ return d.keys[i] >= d.keys[j]
+}
+
+func (d *adversaryTestingData) Swap(i, j int) {
+ d.data[i], d.data[j] = d.data[j], d.data[i]
+}
+
+func TestAdversary(t *testing.T) {
+ const size = 100
+ data := make([]int, size)
+ for i := 0; i < size; i++ {
+ data[i] = i
+ }
+
+ d := &adversaryTestingData{data, make(map[int]int), 0}
+ Sort(d) // This should degenerate to heapsort.
+}
+
+func TestStableInts(t *testing.T) {
+ data := ints
+ 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 shuffeled sorted %d ints (order)", n)
+ }
+ if !data.inOrder() {
+ t.Errorf("Stable shuffeled 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) {
+ 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") }