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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 ( "runtime" . "sort" stringspkg "strings" "testing" ) func f(a []int, x int) func(int) bool { return func(i int) bool { return a[i] >= x } } var data = []int{0: -10, 1: -5, 2: 0, 3: 1, 4: 2, 5: 3, 6: 5, 7: 7, 8: 11, 9: 100, 10: 100, 11: 100, 12: 1000, 13: 10000} var tests = []struct { name string n int f func(int) bool i int }{ {"empty", 0, nil, 0}, {"1 1", 1, func(i int) bool { return i >= 1 }, 1}, {"1 true", 1, func(i int) bool { return true }, 0}, {"1 false", 1, func(i int) bool { return false }, 1}, {"1e9 991", 1e9, func(i int) bool { return i >= 991 }, 991}, {"1e9 true", 1e9, func(i int) bool { return true }, 0}, {"1e9 false", 1e9, func(i int) bool { return false }, 1e9}, {"data -20", len(data), f(data, -20), 0}, {"data -10", len(data), f(data, -10), 0}, {"data -9", len(data), f(data, -9), 1}, {"data -6", len(data), f(data, -6), 1}, {"data -5", len(data), f(data, -5), 1}, {"data 3", len(data), f(data, 3), 5}, {"data 11", len(data), f(data, 11), 8}, {"data 99", len(data), f(data, 99), 9}, {"data 100", len(data), f(data, 100), 9}, {"data 101", len(data), f(data, 101), 12}, {"data 10000", len(data), f(data, 10000), 13}, {"data 10001", len(data), f(data, 10001), 14}, {"descending a", 7, func(i int) bool { return []int{99, 99, 59, 42, 7, 0, -1, -1}[i] <= 7 }, 4}, {"descending 7", 1e9, func(i int) bool { return 1e9-i <= 7 }, 1e9 - 7}, {"overflow", 2e9, func(i int) bool { return false }, 2e9}, } func TestSearch(t *testing.T) { for _, e := range tests { i := Search(e.n, e.f) if i != e.i { t.Errorf("%s: expected index %d; got %d", e.name, e.i, i) } } } func TestFind(t *testing.T) { str1 := []string{"foo"} str2 := []string{"ab", "ca"} str3 := []string{"mo", "qo", "vo"} str4 := []string{"ab", "ad", "ca", "xy"} // slice with repeating elements strRepeats := []string{"ba", "ca", "da", "da", "da", "ka", "ma", "ma", "ta"} // slice with all element equal strSame := []string{"xx", "xx", "xx"} tests := []struct { data []string target string wantPos int wantFound bool }{ {[]string{}, "foo", 0, false}, {[]string{}, "", 0, false}, {str1, "foo", 0, true}, {str1, "bar", 0, false}, {str1, "zx", 1, false}, {str2, "aa", 0, false}, {str2, "ab", 0, true}, {str2, "ad", 1, false}, {str2, "ca", 1, true}, {str2, "ra", 2, false}, {str3, "bb", 0, false}, {str3, "mo", 0, true}, {str3, "nb", 1, false}, {str3, "qo", 1, true}, {str3, "tr", 2, false}, {str3, "vo", 2, true}, {str3, "xr", 3, false}, {str4, "aa", 0, false}, {str4, "ab", 0, true}, {str4, "ac", 1, false}, {str4, "ad", 1, true}, {str4, "ax", 2, false}, {str4, "ca", 2, true}, {str4, "cc", 3, false}, {str4, "dd", 3, false}, {str4, "xy", 3, true}, {str4, "zz", 4, false}, {strRepeats, "da", 2, true}, {strRepeats, "db", 5, false}, {strRepeats, "ma", 6, true}, {strRepeats, "mb", 8, false}, {strSame, "xx", 0, true}, {strSame, "ab", 0, false}, {strSame, "zz", 3, false}, } for _, tt := range tests { t.Run(tt.target, func(t *testing.T) { cmp := func(i int) int { return stringspkg.Compare(tt.target, tt.data[i]) } pos, found := Find(len(tt.data), cmp) if pos != tt.wantPos || found != tt.wantFound { t.Errorf("Find got (%v, %v), want (%v, %v)", pos, found, tt.wantPos, tt.wantFound) } }) } } // log2 computes the binary logarithm of x, rounded up to the next integer. // (log2(0) == 0, log2(1) == 0, log2(2) == 1, log2(3) == 2, etc.) func log2(x int) int { n := 0 for p := 1; p < x; p += p { // p == 2**n n++ } // p/2 < x <= p == 2**n return n } func TestSearchEfficiency(t *testing.T) { n := 100 step := 1 for exp := 2; exp < 10; exp++ { // n == 10**exp // step == 10**(exp-2) max := log2(n) for x := 0; x < n; x += step { count := 0 i := Search(n, func(i int) bool { count++; return i >= x }) if i != x { t.Errorf("n = %d: expected index %d; got %d", n, x, i) } if count > max { t.Errorf("n = %d, x = %d: expected <= %d calls; got %d", n, x, max, count) } } n *= 10 step *= 10 } } // Smoke tests for convenience wrappers - not comprehensive. var fdata = []float64{0: -3.14, 1: 0, 2: 1, 3: 2, 4: 1000.7} var sdata = []string{0: "f", 1: "foo", 2: "foobar", 3: "x"} var wrappertests = []struct { name string result int i int }{ {"SearchInts", SearchInts(data, 11), 8}, {"SearchFloat64s", SearchFloat64s(fdata, 2.1), 4}, {"SearchStrings", SearchStrings(sdata, ""), 0}, {"IntSlice.Search", IntSlice(data).Search(0), 2}, {"Float64Slice.Search", Float64Slice(fdata).Search(2.0), 3}, {"StringSlice.Search", StringSlice(sdata).Search("x"), 3}, } func TestSearchWrappers(t *testing.T) { for _, e := range wrappertests { if e.result != e.i { t.Errorf("%s: expected index %d; got %d", e.name, e.i, e.result) } } } func runSearchWrappers() { SearchInts(data, 11) SearchFloat64s(fdata, 2.1) SearchStrings(sdata, "") IntSlice(data).Search(0) Float64Slice(fdata).Search(2.0) StringSlice(sdata).Search("x") } func TestSearchWrappersDontAlloc(t *testing.T) { if testing.Short() { t.Skip("skipping malloc count in short mode") } if runtime.GOMAXPROCS(0) > 1 { t.Skip("skipping; GOMAXPROCS>1") } allocs := testing.AllocsPerRun(100, runSearchWrappers) if allocs != 0 { t.Errorf("expected no allocs for runSearchWrappers, got %v", allocs) } } func BenchmarkSearchWrappers(b *testing.B) { for i := 0; i < b.N; i++ { runSearchWrappers() } } // Abstract exhaustive test: all sizes up to 100, // all possible return values. If there are any small // corner cases, this test exercises them. func TestSearchExhaustive(t *testing.T) { for size := 0; size <= 100; size++ { for targ := 0; targ <= size; targ++ { i := Search(size, func(i int) bool { return i >= targ }) if i != targ { t.Errorf("Search(%d, %d) = %d", size, targ, i) } } } } // Abstract exhaustive test for Find. func TestFindExhaustive(t *testing.T) { // Test Find for different sequence sizes and search targets. // For each size, we have a (unmaterialized) sequence of integers: // 2,4...size*2 // And we're looking for every possible integer between 1 and size*2 + 1. for size := 0; size <= 100; size++ { for x := 1; x <= size*2+1; x++ { var wantFound bool var wantPos int cmp := func(i int) int { // Encodes the unmaterialized sequence with elem[i] == (i+1)*2 return x - (i+1)*2 } pos, found := Find(size, cmp) if x%2 == 0 { wantPos = x/2 - 1 wantFound = true } else { wantPos = x / 2 wantFound = false } if found != wantFound || pos != wantPos { t.Errorf("Find(%d, %d): got (%v, %v), want (%v, %v)", size, x, pos, found, wantPos, wantFound) } } } }