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			1404 lines
		
	
	
		
			38 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
			
		
		
	
	
			1404 lines
		
	
	
		
			38 KiB
		
	
	
	
		
			Go
		
	
	
	
	
	
| // Copyright 2013 The Gonum Authors. All rights reserved.
 | |
| // Use of this code is governed by a BSD-style
 | |
| // license that can be found in the LICENSE file
 | |
| 
 | |
| package floats
 | |
| 
 | |
| import (
 | |
| 	"math"
 | |
| 	"math/rand"
 | |
| 	"strconv"
 | |
| 	"testing"
 | |
| )
 | |
| 
 | |
| const (
 | |
| 	EqTolerance = 1E-14
 | |
| 	Small       = 10
 | |
| 	Medium      = 1000
 | |
| 	Large       = 100000
 | |
| 	Huge        = 10000000
 | |
| )
 | |
| 
 | |
| func AreSlicesEqual(t *testing.T, truth, comp []float64, str string) {
 | |
| 	if !EqualApprox(comp, truth, EqTolerance) {
 | |
| 		t.Errorf(str+". Expected %v, returned %v", truth, comp)
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func Panics(fun func()) (b bool) {
 | |
| 	defer func() {
 | |
| 		err := recover()
 | |
| 		if err != nil {
 | |
| 			b = true
 | |
| 		}
 | |
| 	}()
 | |
| 	fun()
 | |
| 	return
 | |
| }
 | |
| 
 | |
| func TestAdd(t *testing.T) {
 | |
| 	a := []float64{1, 2, 3}
 | |
| 	b := []float64{4, 5, 6}
 | |
| 	c := []float64{7, 8, 9}
 | |
| 	truth := []float64{12, 15, 18}
 | |
| 	n := make([]float64, len(a))
 | |
| 
 | |
| 	Add(n, a)
 | |
| 	Add(n, b)
 | |
| 	Add(n, c)
 | |
| 	AreSlicesEqual(t, truth, n, "Wrong addition of slices new receiver")
 | |
| 	Add(a, b)
 | |
| 	Add(a, c)
 | |
| 	AreSlicesEqual(t, truth, n, "Wrong addition of slices for no new receiver")
 | |
| 
 | |
| 	// Test that it panics
 | |
| 	if !Panics(func() { Add(make([]float64, 2), make([]float64, 3)) }) {
 | |
| 		t.Errorf("Did not panic with length mismatch")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestAddTo(t *testing.T) {
 | |
| 	a := []float64{1, 2, 3}
 | |
| 	b := []float64{4, 5, 6}
 | |
| 	truth := []float64{5, 7, 9}
 | |
| 	n1 := make([]float64, len(a))
 | |
| 
 | |
| 	n2 := AddTo(n1, a, b)
 | |
| 	AreSlicesEqual(t, truth, n1, "Bad addition from mutator")
 | |
| 	AreSlicesEqual(t, truth, n2, "Bad addition from returned slice")
 | |
| 
 | |
| 	// Test that it panics
 | |
| 	if !Panics(func() { AddTo(make([]float64, 2), make([]float64, 3), make([]float64, 3)) }) {
 | |
| 		t.Errorf("Did not panic with length mismatch")
 | |
| 	}
 | |
| 	if !Panics(func() { AddTo(make([]float64, 3), make([]float64, 3), make([]float64, 2)) }) {
 | |
| 		t.Errorf("Did not panic with length mismatch")
 | |
| 	}
 | |
| 
 | |
| }
 | |
| 
 | |
| func TestAddConst(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	c := 6.0
 | |
| 	truth := []float64{9, 10, 7, 13, 11}
 | |
| 	AddConst(c, s)
 | |
| 	AreSlicesEqual(t, truth, s, "Wrong addition of constant")
 | |
| }
 | |
| 
 | |
| func TestAddScaled(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	alpha := 6.0
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| 	dst := []float64{1, 2, 3, 4, 5}
 | |
| 	ans := []float64{19, 26, 9, 46, 35}
 | |
| 	AddScaled(dst, alpha, s)
 | |
| 	if !EqualApprox(dst, ans, EqTolerance) {
 | |
| 		t.Errorf("Adding scaled did not match")
 | |
| 	}
 | |
| 	short := []float64{1}
 | |
| 	if !Panics(func() { AddScaled(dst, alpha, short) }) {
 | |
| 		t.Errorf("Doesn't panic if s is smaller than dst")
 | |
| 	}
 | |
| 	if !Panics(func() { AddScaled(short, alpha, s) }) {
 | |
| 		t.Errorf("Doesn't panic if dst is smaller than s")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestAddScaledTo(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	alpha := 6.0
 | |
| 	y := []float64{1, 2, 3, 4, 5}
 | |
| 	dst1 := make([]float64, 5)
 | |
| 	ans := []float64{19, 26, 9, 46, 35}
 | |
| 	dst2 := AddScaledTo(dst1, y, alpha, s)
 | |
| 	if !EqualApprox(dst1, ans, EqTolerance) {
 | |
| 		t.Errorf("AddScaledTo did not match for mutator")
 | |
| 	}
 | |
| 	if !EqualApprox(dst2, ans, EqTolerance) {
 | |
| 		t.Errorf("AddScaledTo did not match for returned slice")
 | |
| 	}
 | |
| 	AddScaledTo(dst1, y, alpha, s)
 | |
| 	if !EqualApprox(dst1, ans, EqTolerance) {
 | |
| 		t.Errorf("Reusing dst did not match")
 | |
| 	}
 | |
| 	short := []float64{1}
 | |
| 	if !Panics(func() { AddScaledTo(dst1, y, alpha, short) }) {
 | |
| 		t.Errorf("Doesn't panic if s is smaller than dst")
 | |
| 	}
 | |
| 	if !Panics(func() { AddScaledTo(short, y, alpha, s) }) {
 | |
| 		t.Errorf("Doesn't panic if dst is smaller than s")
 | |
| 	}
 | |
| 	if !Panics(func() { AddScaledTo(dst1, short, alpha, s) }) {
 | |
| 		t.Errorf("Doesn't panic if y is smaller than dst")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestArgsort(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	inds := make([]int, len(s))
 | |
| 
 | |
| 	Argsort(s, inds)
 | |
| 
 | |
| 	sortedS := []float64{1, 3, 4, 5, 7}
 | |
| 	trueInds := []int{2, 0, 1, 4, 3}
 | |
| 
 | |
| 	if !Equal(s, sortedS) {
 | |
| 		t.Error("elements not sorted correctly")
 | |
| 	}
 | |
| 	for i := range trueInds {
 | |
| 		if trueInds[i] != inds[i] {
 | |
| 			t.Error("inds not correct")
 | |
| 		}
 | |
| 	}
 | |
| 
 | |
| 	inds = []int{1, 2}
 | |
| 	if !Panics(func() { Argsort(s, inds) }) {
 | |
| 		t.Error("does not panic if lengths do not match")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestCount(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	f := func(v float64) bool { return v > 3.5 }
 | |
| 	truth := 3
 | |
| 	n := Count(f, s)
 | |
| 	if n != truth {
 | |
| 		t.Errorf("Wrong number of elements counted")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestCumProd(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	receiver := make([]float64, len(s))
 | |
| 	result := CumProd(receiver, s)
 | |
| 	truth := []float64{3, 12, 12, 84, 420}
 | |
| 	AreSlicesEqual(t, truth, receiver, "Wrong cumprod mutated with new receiver")
 | |
| 	AreSlicesEqual(t, truth, result, "Wrong cumprod result with new receiver")
 | |
| 	CumProd(receiver, s)
 | |
| 	AreSlicesEqual(t, truth, receiver, "Wrong cumprod returned with reused receiver")
 | |
| 
 | |
| 	// Test that it panics
 | |
| 	if !Panics(func() { CumProd(make([]float64, 2), make([]float64, 3)) }) {
 | |
| 		t.Errorf("Did not panic with length mismatch")
 | |
| 	}
 | |
| 
 | |
| 	// Test empty CumProd
 | |
| 	emptyReceiver := make([]float64, 0)
 | |
| 	truth = []float64{}
 | |
| 	CumProd(emptyReceiver, emptyReceiver)
 | |
| 	AreSlicesEqual(t, truth, emptyReceiver, "Wrong cumprod returned with empty receiver")
 | |
| 
 | |
| }
 | |
| 
 | |
| func TestCumSum(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	receiver := make([]float64, len(s))
 | |
| 	result := CumSum(receiver, s)
 | |
| 	truth := []float64{3, 7, 8, 15, 20}
 | |
| 	AreSlicesEqual(t, truth, receiver, "Wrong cumsum mutated with new receiver")
 | |
| 	AreSlicesEqual(t, truth, result, "Wrong cumsum returned with new receiver")
 | |
| 	CumSum(receiver, s)
 | |
| 	AreSlicesEqual(t, truth, receiver, "Wrong cumsum returned with reused receiver")
 | |
| 
 | |
| 	// Test that it panics
 | |
| 	if !Panics(func() { CumSum(make([]float64, 2), make([]float64, 3)) }) {
 | |
| 		t.Errorf("Did not panic with length mismatch")
 | |
| 	}
 | |
| 
 | |
| 	// Test empty CumSum
 | |
| 	emptyReceiver := make([]float64, 0)
 | |
| 	truth = []float64{}
 | |
| 	CumSum(emptyReceiver, emptyReceiver)
 | |
| 	AreSlicesEqual(t, truth, emptyReceiver, "Wrong cumsum returned with empty receiver")
 | |
| 
 | |
| }
 | |
| 
 | |
| func TestDistance(t *testing.T) {
 | |
| 	norms := []float64{1, 2, 4, math.Inf(1)}
 | |
| 	slices := []struct {
 | |
| 		s []float64
 | |
| 		t []float64
 | |
| 	}{
 | |
| 		{
 | |
| 			nil,
 | |
| 			nil,
 | |
| 		},
 | |
| 		{
 | |
| 			[]float64{8, 9, 10, -12},
 | |
| 			[]float64{8, 9, 10, -12},
 | |
| 		},
 | |
| 		{
 | |
| 			[]float64{1, 2, 3, -4, -5, 8},
 | |
| 			[]float64{-9.2, -6.8, 9, -3, -2, 1},
 | |
| 		},
 | |
| 	}
 | |
| 
 | |
| 	for j, test := range slices {
 | |
| 		tmp := make([]float64, len(test.s))
 | |
| 		for i, L := range norms {
 | |
| 			dist := Distance(test.s, test.t, L)
 | |
| 			copy(tmp, test.s)
 | |
| 			Sub(tmp, test.t)
 | |
| 			norm := Norm(tmp, L)
 | |
| 			if dist != norm { // Use equality because they should be identical
 | |
| 				t.Errorf("Distance does not match norm for case %v, %v. Expected %v, Found %v.", i, j, norm, dist)
 | |
| 			}
 | |
| 		}
 | |
| 	}
 | |
| 
 | |
| 	if !Panics(func() { Distance([]float64{}, norms, 1) }) {
 | |
| 		t.Errorf("Did not panic with unequal lengths")
 | |
| 	}
 | |
| 
 | |
| }
 | |
| 
 | |
| func TestDiv(t *testing.T) {
 | |
| 	s1 := []float64{5, 12, 27}
 | |
| 	s2 := []float64{1, 2, 3}
 | |
| 	ans := []float64{5, 6, 9}
 | |
| 	Div(s1, s2)
 | |
| 	if !EqualApprox(s1, ans, EqTolerance) {
 | |
| 		t.Errorf("Mul doesn't give correct answer")
 | |
| 	}
 | |
| 	s1short := []float64{1}
 | |
| 	if !Panics(func() { Div(s1short, s2) }) {
 | |
| 		t.Errorf("Did not panic with unequal lengths")
 | |
| 	}
 | |
| 	s2short := []float64{1}
 | |
| 	if !Panics(func() { Div(s1, s2short) }) {
 | |
| 		t.Errorf("Did not panic with unequal lengths")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestDivTo(t *testing.T) {
 | |
| 	s1 := []float64{5, 12, 27}
 | |
| 	s1orig := []float64{5, 12, 27}
 | |
| 	s2 := []float64{1, 2, 3}
 | |
| 	s2orig := []float64{1, 2, 3}
 | |
| 	dst1 := make([]float64, 3)
 | |
| 	ans := []float64{5, 6, 9}
 | |
| 	dst2 := DivTo(dst1, s1, s2)
 | |
| 	if !EqualApprox(dst1, ans, EqTolerance) {
 | |
| 		t.Errorf("DivTo doesn't give correct answer in mutated slice")
 | |
| 	}
 | |
| 	if !EqualApprox(dst2, ans, EqTolerance) {
 | |
| 		t.Errorf("DivTo doesn't give correct answer in returned slice")
 | |
| 	}
 | |
| 	if !EqualApprox(s1, s1orig, EqTolerance) {
 | |
| 		t.Errorf("S1 changes during multo")
 | |
| 	}
 | |
| 	if !EqualApprox(s2, s2orig, EqTolerance) {
 | |
| 		t.Errorf("s2 changes during multo")
 | |
| 	}
 | |
| 	DivTo(dst1, s1, s2)
 | |
| 	if !EqualApprox(dst1, ans, EqTolerance) {
 | |
| 		t.Errorf("DivTo doesn't give correct answer reusing dst")
 | |
| 	}
 | |
| 	dstShort := []float64{1}
 | |
| 	if !Panics(func() { DivTo(dstShort, s1, s2) }) {
 | |
| 		t.Errorf("Did not panic with s1 wrong length")
 | |
| 	}
 | |
| 	s1short := []float64{1}
 | |
| 	if !Panics(func() { DivTo(dst1, s1short, s2) }) {
 | |
| 		t.Errorf("Did not panic with s1 wrong length")
 | |
| 	}
 | |
| 	s2short := []float64{1}
 | |
| 	if !Panics(func() { DivTo(dst1, s1, s2short) }) {
 | |
| 		t.Errorf("Did not panic with s2 wrong length")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestDot(t *testing.T) {
 | |
| 	s1 := []float64{1, 2, 3, 4}
 | |
| 	s2 := []float64{-3, 4, 5, -6}
 | |
| 	truth := -4.0
 | |
| 	ans := Dot(s1, s2)
 | |
| 	if ans != truth {
 | |
| 		t.Errorf("Dot product computed incorrectly")
 | |
| 	}
 | |
| 
 | |
| 	// Test that it panics
 | |
| 	if !Panics(func() { Dot(make([]float64, 2), make([]float64, 3)) }) {
 | |
| 		t.Errorf("Did not panic with length mismatch")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestEquals(t *testing.T) {
 | |
| 	s1 := []float64{1, 2, 3, 4}
 | |
| 	s2 := []float64{1, 2, 3, 4}
 | |
| 	if !Equal(s1, s2) {
 | |
| 		t.Errorf("Equal slices returned as unequal")
 | |
| 	}
 | |
| 	s2 = []float64{1, 2, 3, 4 + 1e-14}
 | |
| 	if Equal(s1, s2) {
 | |
| 		t.Errorf("Unequal slices returned as equal")
 | |
| 	}
 | |
| 	if Equal(s1, []float64{}) {
 | |
| 		t.Errorf("Unequal slice lengths returned as equal")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestEqualApprox(t *testing.T) {
 | |
| 	s1 := []float64{1, 2, 3, 4}
 | |
| 	s2 := []float64{1, 2, 3, 4 + 1e-10}
 | |
| 	if EqualApprox(s1, s2, 1e-13) {
 | |
| 		t.Errorf("Unequal slices returned as equal for absolute")
 | |
| 	}
 | |
| 	if !EqualApprox(s1, s2, 1e-5) {
 | |
| 		t.Errorf("Equal slices returned as unequal for absolute")
 | |
| 	}
 | |
| 	s1 = []float64{1, 2, 3, 1000}
 | |
| 	s2 = []float64{1, 2, 3, 1000 * (1 + 1e-7)}
 | |
| 	if EqualApprox(s1, s2, 1e-8) {
 | |
| 		t.Errorf("Unequal slices returned as equal for relative")
 | |
| 	}
 | |
| 	if !EqualApprox(s1, s2, 1e-5) {
 | |
| 		t.Errorf("Equal slices returned as unequal for relative")
 | |
| 	}
 | |
| 	if EqualApprox(s1, []float64{}, 1e-5) {
 | |
| 		t.Errorf("Unequal slice lengths returned as equal")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestEqualFunc(t *testing.T) {
 | |
| 	s1 := []float64{1, 2, 3, 4}
 | |
| 	s2 := []float64{1, 2, 3, 4}
 | |
| 	eq := func(x, y float64) bool { return x == y }
 | |
| 	if !EqualFunc(s1, s2, eq) {
 | |
| 		t.Errorf("Equal slices returned as unequal")
 | |
| 	}
 | |
| 	s2 = []float64{1, 2, 3, 4 + 1e-14}
 | |
| 	if EqualFunc(s1, s2, eq) {
 | |
| 		t.Errorf("Unequal slices returned as equal")
 | |
| 	}
 | |
| 	if EqualFunc(s1, []float64{}, eq) {
 | |
| 		t.Errorf("Unequal slice lengths returned as equal")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestEqualsRelative(t *testing.T) {
 | |
| 	var equalityTests = []struct {
 | |
| 		a, b  float64
 | |
| 		tol   float64
 | |
| 		equal bool
 | |
| 	}{
 | |
| 		{1000000, 1000001, 0, true},
 | |
| 		{1000001, 1000000, 0, true},
 | |
| 		{10000, 10001, 0, false},
 | |
| 		{10001, 10000, 0, false},
 | |
| 		{-1000000, -1000001, 0, true},
 | |
| 		{-1000001, -1000000, 0, true},
 | |
| 		{-10000, -10001, 0, false},
 | |
| 		{-10001, -10000, 0, false},
 | |
| 		{1.0000001, 1.0000002, 0, true},
 | |
| 		{1.0000002, 1.0000001, 0, true},
 | |
| 		{1.0002, 1.0001, 0, false},
 | |
| 		{1.0001, 1.0002, 0, false},
 | |
| 		{-1.000001, -1.000002, 0, true},
 | |
| 		{-1.000002, -1.000001, 0, true},
 | |
| 		{-1.0001, -1.0002, 0, false},
 | |
| 		{-1.0002, -1.0001, 0, false},
 | |
| 		{0.000000001000001, 0.000000001000002, 0, true},
 | |
| 		{0.000000001000002, 0.000000001000001, 0, true},
 | |
| 		{0.000000000001002, 0.000000000001001, 0, false},
 | |
| 		{0.000000000001001, 0.000000000001002, 0, false},
 | |
| 		{-0.000000001000001, -0.000000001000002, 0, true},
 | |
| 		{-0.000000001000002, -0.000000001000001, 0, true},
 | |
| 		{-0.000000000001002, -0.000000000001001, 0, false},
 | |
| 		{-0.000000000001001, -0.000000000001002, 0, false},
 | |
| 		{0, 0, 0, true},
 | |
| 		{0, -0, 0, true},
 | |
| 		{-0, -0, 0, true},
 | |
| 		{0.00000001, 0, 0, false},
 | |
| 		{0, 0.00000001, 0, false},
 | |
| 		{-0.00000001, 0, 0, false},
 | |
| 		{0, -0.00000001, 0, false},
 | |
| 		{0, 1e-310, 0.01, true},
 | |
| 		{1e-310, 0, 0.01, true},
 | |
| 		{1e-310, 0, 0.000001, false},
 | |
| 		{0, 1e-310, 0.000001, false},
 | |
| 		{0, -1e-310, 0.1, true},
 | |
| 		{-1e-310, 0, 0.1, true},
 | |
| 		{-1e-310, 0, 0.00000001, false},
 | |
| 		{0, -1e-310, 0.00000001, false},
 | |
| 		{math.Inf(1), math.Inf(1), 0, true},
 | |
| 		{math.Inf(-1), math.Inf(-1), 0, true},
 | |
| 		{math.Inf(-1), math.Inf(1), 0, false},
 | |
| 		{math.Inf(1), math.MaxFloat64, 0, false},
 | |
| 		{math.Inf(-1), -math.MaxFloat64, 0, false},
 | |
| 		{math.NaN(), math.NaN(), 0, false},
 | |
| 		{math.NaN(), 0, 0, false},
 | |
| 		{-0, math.NaN(), 0, false},
 | |
| 		{math.NaN(), -0, 0, false},
 | |
| 		{0, math.NaN(), 0, false},
 | |
| 		{math.NaN(), math.Inf(1), 0, false},
 | |
| 		{math.Inf(1), math.NaN(), 0, false},
 | |
| 		{math.NaN(), math.Inf(-1), 0, false},
 | |
| 		{math.Inf(-1), math.NaN(), 0, false},
 | |
| 		{math.NaN(), math.MaxFloat64, 0, false},
 | |
| 		{math.MaxFloat64, math.NaN(), 0, false},
 | |
| 		{math.NaN(), -math.MaxFloat64, 0, false},
 | |
| 		{-math.MaxFloat64, math.NaN(), 0, false},
 | |
| 		{math.NaN(), math.SmallestNonzeroFloat64, 0, false},
 | |
| 		{math.SmallestNonzeroFloat64, math.NaN(), 0, false},
 | |
| 		{math.NaN(), -math.SmallestNonzeroFloat64, 0, false},
 | |
| 		{-math.SmallestNonzeroFloat64, math.NaN(), 0, false},
 | |
| 		{1.000000001, -1.0, 0, false},
 | |
| 		{-1.0, 1.000000001, 0, false},
 | |
| 		{-1.000000001, 1.0, 0, false},
 | |
| 		{1.0, -1.000000001, 0, false},
 | |
| 		{10 * math.SmallestNonzeroFloat64, 10 * -math.SmallestNonzeroFloat64, 0, true},
 | |
| 		{1e11 * math.SmallestNonzeroFloat64, 1e11 * -math.SmallestNonzeroFloat64, 0, false},
 | |
| 		{math.SmallestNonzeroFloat64, -math.SmallestNonzeroFloat64, 0, true},
 | |
| 		{-math.SmallestNonzeroFloat64, math.SmallestNonzeroFloat64, 0, true},
 | |
| 		{math.SmallestNonzeroFloat64, 0, 0, true},
 | |
| 		{0, math.SmallestNonzeroFloat64, 0, true},
 | |
| 		{-math.SmallestNonzeroFloat64, 0, 0, true},
 | |
| 		{0, -math.SmallestNonzeroFloat64, 0, true},
 | |
| 		{0.000000001, -math.SmallestNonzeroFloat64, 0, false},
 | |
| 		{0.000000001, math.SmallestNonzeroFloat64, 0, false},
 | |
| 		{math.SmallestNonzeroFloat64, 0.000000001, 0, false},
 | |
| 		{-math.SmallestNonzeroFloat64, 0.000000001, 0, false},
 | |
| 	}
 | |
| 	for _, ts := range equalityTests {
 | |
| 		if ts.tol == 0 {
 | |
| 			ts.tol = 1e-5
 | |
| 		}
 | |
| 		if equal := EqualWithinRel(ts.a, ts.b, ts.tol); equal != ts.equal {
 | |
| 			t.Errorf("Relative equality of %g and %g with tolerance %g returned: %v. Expected: %v",
 | |
| 				ts.a, ts.b, ts.tol, equal, ts.equal)
 | |
| 		}
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func nextAfterN(x, y float64, n int) float64 {
 | |
| 	for i := 0; i < n; i++ {
 | |
| 		x = math.Nextafter(x, y)
 | |
| 	}
 | |
| 	return x
 | |
| }
 | |
| 
 | |
| func TestEqualsULP(t *testing.T) {
 | |
| 	if f := 67329.242; !EqualWithinULP(f, nextAfterN(f, math.Inf(1), 10), 10) {
 | |
| 		t.Errorf("Equal values returned as unequal")
 | |
| 	}
 | |
| 	if f := 67329.242; EqualWithinULP(f, nextAfterN(f, math.Inf(1), 5), 1) {
 | |
| 		t.Errorf("Unequal values returned as equal")
 | |
| 	}
 | |
| 	if f := 67329.242; EqualWithinULP(nextAfterN(f, math.Inf(1), 5), f, 1) {
 | |
| 		t.Errorf("Unequal values returned as equal")
 | |
| 	}
 | |
| 	if f := nextAfterN(0, math.Inf(1), 2); !EqualWithinULP(f, nextAfterN(f, math.Inf(-1), 5), 10) {
 | |
| 		t.Errorf("Equal values returned as unequal")
 | |
| 	}
 | |
| 	if !EqualWithinULP(67329.242, 67329.242, 10) {
 | |
| 		t.Errorf("Equal float64s not returned as equal")
 | |
| 	}
 | |
| 	if EqualWithinULP(1, math.NaN(), 10) {
 | |
| 		t.Errorf("NaN returned as equal")
 | |
| 	}
 | |
| 
 | |
| }
 | |
| 
 | |
| func TestEqualLengths(t *testing.T) {
 | |
| 	s1 := []float64{1, 2, 3, 4}
 | |
| 	s2 := []float64{1, 2, 3, 4}
 | |
| 	s3 := []float64{1, 2, 3}
 | |
| 	if !EqualLengths(s1, s2) {
 | |
| 		t.Errorf("Equal lengths returned as unequal")
 | |
| 	}
 | |
| 	if EqualLengths(s1, s3) {
 | |
| 		t.Errorf("Unequal lengths returned as equal")
 | |
| 	}
 | |
| 	if !EqualLengths(s1) {
 | |
| 		t.Errorf("Single slice returned as unequal")
 | |
| 	}
 | |
| 	if !EqualLengths() {
 | |
| 		t.Errorf("No slices returned as unequal")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func eqIntSlice(one, two []int) string {
 | |
| 	if len(one) != len(two) {
 | |
| 		return "Length mismatch"
 | |
| 	}
 | |
| 	for i, val := range one {
 | |
| 		if val != two[i] {
 | |
| 			return "Index " + strconv.Itoa(i) + " mismatch"
 | |
| 		}
 | |
| 	}
 | |
| 	return ""
 | |
| }
 | |
| 
 | |
| func TestFind(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	f := func(v float64) bool { return v > 3.5 }
 | |
| 	allTrueInds := []int{1, 3, 4}
 | |
| 
 | |
| 	// Test finding first two elements
 | |
| 	inds, err := Find(nil, f, s, 2)
 | |
| 	if err != nil {
 | |
| 		t.Errorf("Find first two: Improper error return")
 | |
| 	}
 | |
| 	trueInds := allTrueInds[:2]
 | |
| 	str := eqIntSlice(inds, trueInds)
 | |
| 	if str != "" {
 | |
| 		t.Errorf("Find first two: " + str)
 | |
| 	}
 | |
| 
 | |
| 	// Test finding no elements with non nil slice
 | |
| 	inds = []int{1, 2, 3, 4, 5, 6}
 | |
| 	inds, err = Find(inds, f, s, 0)
 | |
| 	if err != nil {
 | |
| 		t.Errorf("Find no elements: Improper error return")
 | |
| 	}
 | |
| 	str = eqIntSlice(inds, []int{})
 | |
| 	if str != "" {
 | |
| 		t.Errorf("Find no non-nil: " + str)
 | |
| 	}
 | |
| 
 | |
| 	// Test finding first two elements with non nil slice
 | |
| 	inds = []int{1, 2, 3, 4, 5, 6}
 | |
| 	inds, err = Find(inds, f, s, 2)
 | |
| 	if err != nil {
 | |
| 		t.Errorf("Find first two non-nil: Improper error return")
 | |
| 	}
 | |
| 	str = eqIntSlice(inds, trueInds)
 | |
| 	if str != "" {
 | |
| 		t.Errorf("Find first two non-nil: " + str)
 | |
| 	}
 | |
| 
 | |
| 	// Test finding too many elements
 | |
| 	inds, err = Find(inds, f, s, 4)
 | |
| 	if err == nil {
 | |
| 		t.Errorf("Request too many: No error returned")
 | |
| 	}
 | |
| 	str = eqIntSlice(inds, allTrueInds)
 | |
| 	if str != "" {
 | |
| 		t.Errorf("Request too many: Does not match all of the inds: " + str)
 | |
| 	}
 | |
| 
 | |
| 	// Test finding all elements
 | |
| 	inds, err = Find(nil, f, s, -1)
 | |
| 	if err != nil {
 | |
| 		t.Errorf("Find all: Improper error returned")
 | |
| 	}
 | |
| 	str = eqIntSlice(inds, allTrueInds)
 | |
| 	if str != "" {
 | |
| 		t.Errorf("Find all: Does not match all of the inds: " + str)
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestHasNaN(t *testing.T) {
 | |
| 	for i, test := range []struct {
 | |
| 		s   []float64
 | |
| 		ans bool
 | |
| 	}{
 | |
| 		{},
 | |
| 		{
 | |
| 			s: []float64{1, 2, 3, 4},
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, math.NaN(), 3, 4},
 | |
| 			ans: true,
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 3, math.NaN()},
 | |
| 			ans: true,
 | |
| 		},
 | |
| 	} {
 | |
| 		b := HasNaN(test.s)
 | |
| 		if b != test.ans {
 | |
| 			t.Errorf("HasNaN mismatch case %d. Expected %v, Found %v", i, test.ans, b)
 | |
| 		}
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestLogSpan(t *testing.T) {
 | |
| 	receiver1 := make([]float64, 6)
 | |
| 	truth := []float64{0.001, 0.01, 0.1, 1, 10, 100}
 | |
| 	receiver2 := LogSpan(receiver1, 0.001, 100)
 | |
| 	tst := make([]float64, 6)
 | |
| 	for i := range truth {
 | |
| 		tst[i] = receiver1[i] / truth[i]
 | |
| 	}
 | |
| 	comp := make([]float64, 6)
 | |
| 	for i := range comp {
 | |
| 		comp[i] = 1
 | |
| 	}
 | |
| 	AreSlicesEqual(t, comp, tst, "Improper logspace from mutator")
 | |
| 
 | |
| 	for i := range truth {
 | |
| 		tst[i] = receiver2[i] / truth[i]
 | |
| 	}
 | |
| 	AreSlicesEqual(t, comp, tst, "Improper logspace from returned slice")
 | |
| 
 | |
| 	if !Panics(func() { LogSpan(nil, 1, 5) }) {
 | |
| 		t.Errorf("Span accepts nil argument")
 | |
| 	}
 | |
| 	if !Panics(func() { LogSpan(make([]float64, 1), 1, 5) }) {
 | |
| 		t.Errorf("Span accepts argument of len = 1")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestLogSumExp(t *testing.T) {
 | |
| 	s := []float64{1, 2, 3, 4, 5}
 | |
| 	val := LogSumExp(s)
 | |
| 	// http://www.wolframalpha.com/input/?i=log%28exp%281%29+%2B+exp%282%29+%2B+exp%283%29+%2B+exp%284%29+%2B+exp%285%29%29
 | |
| 	truth := 5.4519143959375933331957225109748087179338972737576824
 | |
| 	if math.Abs(val-truth) > EqTolerance {
 | |
| 		t.Errorf("Wrong logsumexp for many values")
 | |
| 	}
 | |
| 	s = []float64{1, 2}
 | |
| 	// http://www.wolframalpha.com/input/?i=log%28exp%281%29+%2B+exp%282%29%29
 | |
| 	truth = 2.3132616875182228340489954949678556419152800856703483
 | |
| 	val = LogSumExp(s)
 | |
| 	if math.Abs(val-truth) > EqTolerance {
 | |
| 		t.Errorf("Wrong logsumexp for two values. %v expected, %v found", truth, val)
 | |
| 	}
 | |
| 	// This case would normally underflow
 | |
| 	s = []float64{-1001, -1002, -1003, -1004, -1005}
 | |
| 	// http://www.wolframalpha.com/input/?i=log%28exp%28-1001%29%2Bexp%28-1002%29%2Bexp%28-1003%29%2Bexp%28-1004%29%2Bexp%28-1005%29%29
 | |
| 	truth = -1000.54808560406240666680427748902519128206610272624
 | |
| 	val = LogSumExp(s)
 | |
| 	if math.Abs(val-truth) > EqTolerance {
 | |
| 		t.Errorf("Doesn't match for underflow case. %v expected, %v found", truth, val)
 | |
| 	}
 | |
| 	// positive infinite case
 | |
| 	s = []float64{1, 2, 3, 4, 5, math.Inf(1)}
 | |
| 	val = LogSumExp(s)
 | |
| 	truth = math.Inf(1)
 | |
| 	if val != truth {
 | |
| 		t.Errorf("Doesn't match for pos Infinity case. %v expected, %v found", truth, val)
 | |
| 	}
 | |
| 	// negative infinite case
 | |
| 	s = []float64{1, 2, 3, 4, 5, math.Inf(-1)}
 | |
| 	val = LogSumExp(s)
 | |
| 	truth = 5.4519143959375933331957225109748087179338972737576824 // same as first case
 | |
| 	if math.Abs(val-truth) > EqTolerance {
 | |
| 		t.Errorf("Wrong logsumexp for values with negative infinity")
 | |
| 	}
 | |
| 
 | |
| }
 | |
| 
 | |
| func TestMaxAndIdx(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	ind := MaxIdx(s)
 | |
| 	val := Max(s)
 | |
| 	if val != 7 {
 | |
| 		t.Errorf("Wrong value returned")
 | |
| 	}
 | |
| 	if ind != 3 {
 | |
| 		t.Errorf("Wrong index returned")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestMinAndIdx(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	ind := MinIdx(s)
 | |
| 	val := Min(s)
 | |
| 	if val != 1 {
 | |
| 		t.Errorf("Wrong value returned")
 | |
| 	}
 | |
| 	if ind != 2 {
 | |
| 		t.Errorf("Wrong index returned")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestMul(t *testing.T) {
 | |
| 	s1 := []float64{1, 2, 3}
 | |
| 	s2 := []float64{1, 2, 3}
 | |
| 	ans := []float64{1, 4, 9}
 | |
| 	Mul(s1, s2)
 | |
| 	if !EqualApprox(s1, ans, EqTolerance) {
 | |
| 		t.Errorf("Mul doesn't give correct answer")
 | |
| 	}
 | |
| 	s1short := []float64{1}
 | |
| 	if !Panics(func() { Mul(s1short, s2) }) {
 | |
| 		t.Errorf("Did not panic with unequal lengths")
 | |
| 	}
 | |
| 	s2short := []float64{1}
 | |
| 	if !Panics(func() { Mul(s1, s2short) }) {
 | |
| 		t.Errorf("Did not panic with unequal lengths")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestMulTo(t *testing.T) {
 | |
| 	s1 := []float64{1, 2, 3}
 | |
| 	s1orig := []float64{1, 2, 3}
 | |
| 	s2 := []float64{1, 2, 3}
 | |
| 	s2orig := []float64{1, 2, 3}
 | |
| 	dst1 := make([]float64, 3)
 | |
| 	ans := []float64{1, 4, 9}
 | |
| 	dst2 := MulTo(dst1, s1, s2)
 | |
| 	if !EqualApprox(dst1, ans, EqTolerance) {
 | |
| 		t.Errorf("MulTo doesn't give correct answer in mutated slice")
 | |
| 	}
 | |
| 	if !EqualApprox(dst2, ans, EqTolerance) {
 | |
| 		t.Errorf("MulTo doesn't give correct answer in returned slice")
 | |
| 	}
 | |
| 	if !EqualApprox(s1, s1orig, EqTolerance) {
 | |
| 		t.Errorf("S1 changes during multo")
 | |
| 	}
 | |
| 	if !EqualApprox(s2, s2orig, EqTolerance) {
 | |
| 		t.Errorf("s2 changes during multo")
 | |
| 	}
 | |
| 	MulTo(dst1, s1, s2)
 | |
| 	if !EqualApprox(dst1, ans, EqTolerance) {
 | |
| 		t.Errorf("MulTo doesn't give correct answer reusing dst")
 | |
| 	}
 | |
| 	dstShort := []float64{1}
 | |
| 	if !Panics(func() { MulTo(dstShort, s1, s2) }) {
 | |
| 		t.Errorf("Did not panic with s1 wrong length")
 | |
| 	}
 | |
| 	s1short := []float64{1}
 | |
| 	if !Panics(func() { MulTo(dst1, s1short, s2) }) {
 | |
| 		t.Errorf("Did not panic with s1 wrong length")
 | |
| 	}
 | |
| 	s2short := []float64{1}
 | |
| 	if !Panics(func() { MulTo(dst1, s1, s2short) }) {
 | |
| 		t.Errorf("Did not panic with s2 wrong length")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestNearest(t *testing.T) {
 | |
| 	s := []float64{6.2, 3, 5, 6.2, 8}
 | |
| 	ind := Nearest(s, 2.0)
 | |
| 	if ind != 1 {
 | |
| 		t.Errorf("Wrong index returned when value is less than all of elements")
 | |
| 	}
 | |
| 	ind = Nearest(s, 9.0)
 | |
| 	if ind != 4 {
 | |
| 		t.Errorf("Wrong index returned when value is greater than all of elements")
 | |
| 	}
 | |
| 	ind = Nearest(s, 3.1)
 | |
| 	if ind != 1 {
 | |
| 		t.Errorf("Wrong index returned when value is greater than closest element")
 | |
| 	}
 | |
| 	ind = Nearest(s, 3.1)
 | |
| 	if ind != 1 {
 | |
| 		t.Errorf("Wrong index returned when value is greater than closest element")
 | |
| 	}
 | |
| 	ind = Nearest(s, 2.9)
 | |
| 	if ind != 1 {
 | |
| 		t.Errorf("Wrong index returned when value is less than closest element")
 | |
| 	}
 | |
| 	ind = Nearest(s, 3)
 | |
| 	if ind != 1 {
 | |
| 		t.Errorf("Wrong index returned when value is equal to element")
 | |
| 	}
 | |
| 	ind = Nearest(s, 6.2)
 | |
| 	if ind != 0 {
 | |
| 		t.Errorf("Wrong index returned when value is equal to several elements")
 | |
| 	}
 | |
| 	ind = Nearest(s, 4)
 | |
| 	if ind != 1 {
 | |
| 		t.Errorf("Wrong index returned when value is exactly between two closest elements")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestNearestWithinSpan(t *testing.T) {
 | |
| 	if !Panics(func() { NearestWithinSpan(10, 8, 2, 4.5) }) {
 | |
| 		t.Errorf("Did not panic when upper bound is lower than greater bound")
 | |
| 	}
 | |
| 	for i, test := range []struct {
 | |
| 		length int
 | |
| 		lower  float64
 | |
| 		upper  float64
 | |
| 		value  float64
 | |
| 		idx    int
 | |
| 	}{
 | |
| 		{
 | |
| 			length: 13,
 | |
| 			lower:  7,
 | |
| 			upper:  8.2,
 | |
| 			value:  6,
 | |
| 			idx:    -1,
 | |
| 		},
 | |
| 		{
 | |
| 			length: 13,
 | |
| 			lower:  7,
 | |
| 			upper:  8.2,
 | |
| 			value:  10,
 | |
| 			idx:    -1,
 | |
| 		},
 | |
| 		{
 | |
| 			length: 13,
 | |
| 			lower:  7,
 | |
| 			upper:  8.2,
 | |
| 			value:  7.19,
 | |
| 			idx:    2,
 | |
| 		},
 | |
| 		{
 | |
| 			length: 13,
 | |
| 			lower:  7,
 | |
| 			upper:  8.2,
 | |
| 			value:  7.21,
 | |
| 			idx:    2,
 | |
| 		},
 | |
| 		{
 | |
| 			length: 13,
 | |
| 			lower:  7,
 | |
| 			upper:  8.2,
 | |
| 			value:  7.2,
 | |
| 			idx:    2,
 | |
| 		},
 | |
| 		{
 | |
| 			length: 13,
 | |
| 			lower:  7,
 | |
| 			upper:  8.2,
 | |
| 			value:  7.151,
 | |
| 			idx:    2,
 | |
| 		},
 | |
| 		{
 | |
| 			length: 13,
 | |
| 			lower:  7,
 | |
| 			upper:  8.2,
 | |
| 			value:  7.249,
 | |
| 			idx:    2,
 | |
| 		},
 | |
| 	} {
 | |
| 		if idx := NearestWithinSpan(test.length, test.lower, test.upper, test.value); test.idx != idx {
 | |
| 			t.Errorf("Case %v mismatch: Want: %v, Got: %v", i, test.idx, idx)
 | |
| 		}
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestNorm(t *testing.T) {
 | |
| 	s := []float64{-1, -3.4, 5, -6}
 | |
| 	val := Norm(s, math.Inf(1))
 | |
| 	truth := 6.0
 | |
| 	if math.Abs(val-truth) > EqTolerance {
 | |
| 		t.Errorf("Doesn't match for inf norm. %v expected, %v found", truth, val)
 | |
| 	}
 | |
| 	// http://www.wolframalpha.com/input/?i=%28%28-1%29%5E2+%2B++%28-3.4%29%5E2+%2B+5%5E2%2B++6%5E2%29%5E%281%2F2%29
 | |
| 	val = Norm(s, 2)
 | |
| 	truth = 8.5767126569566267590651614132751986658027271236078592
 | |
| 	if math.Abs(val-truth) > EqTolerance {
 | |
| 		t.Errorf("Doesn't match for inf norm. %v expected, %v found", truth, val)
 | |
| 	}
 | |
| 	// http://www.wolframalpha.com/input/?i=%28%28%7C-1%7C%29%5E3+%2B++%28%7C-3.4%7C%29%5E3+%2B+%7C5%7C%5E3%2B++%7C6%7C%5E3%29%5E%281%2F3%29
 | |
| 	val = Norm(s, 3)
 | |
| 	truth = 7.2514321388020228478109121239004816430071237369356233
 | |
| 	if math.Abs(val-truth) > EqTolerance {
 | |
| 		t.Errorf("Doesn't match for inf norm. %v expected, %v found", truth, val)
 | |
| 	}
 | |
| 
 | |
| 	//http://www.wolframalpha.com/input/?i=%7C-1%7C+%2B+%7C-3.4%7C+%2B+%7C5%7C%2B++%7C6%7C
 | |
| 	val = Norm(s, 1)
 | |
| 	truth = 15.4
 | |
| 	if math.Abs(val-truth) > EqTolerance {
 | |
| 		t.Errorf("Doesn't match for inf norm. %v expected, %v found", truth, val)
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestProd(t *testing.T) {
 | |
| 	s := []float64{}
 | |
| 	val := Prod(s)
 | |
| 	if val != 1 {
 | |
| 		t.Errorf("Val not returned as default when slice length is zero")
 | |
| 	}
 | |
| 	s = []float64{3, 4, 1, 7, 5}
 | |
| 	val = Prod(s)
 | |
| 	if val != 420 {
 | |
| 		t.Errorf("Wrong prod returned. Expected %v returned %v", 420, val)
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestReverse(t *testing.T) {
 | |
| 	for _, s := range [][]float64{
 | |
| 		{0},
 | |
| 		{1, 0},
 | |
| 		{2, 1, 0},
 | |
| 		{3, 2, 1, 0},
 | |
| 		{9, 8, 7, 6, 5, 4, 3, 2, 1, 0},
 | |
| 	} {
 | |
| 		Reverse(s)
 | |
| 		for i, v := range s {
 | |
| 			if v != float64(i) {
 | |
| 				t.Errorf("unexpected values for element %d: got:%v want:%v", i, v, i)
 | |
| 			}
 | |
| 		}
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestRound(t *testing.T) {
 | |
| 	for _, test := range []struct {
 | |
| 		x    float64
 | |
| 		prec int
 | |
| 		want float64
 | |
| 	}{
 | |
| 		{x: 0, prec: 1, want: 0},
 | |
| 		{x: math.Inf(1), prec: 1, want: math.Inf(1)},
 | |
| 		{x: math.NaN(), prec: 1, want: math.NaN()},
 | |
| 		{x: func() float64 { var f float64; return -f }(), prec: 1, want: 0},
 | |
| 		{x: math.MaxFloat64 / 2, prec: 1, want: math.MaxFloat64 / 2},
 | |
| 		{x: 1 << 64, prec: 1, want: 1 << 64},
 | |
| 		{x: 454.4445, prec: 3, want: 454.445},
 | |
| 		{x: 454.44445, prec: 4, want: 454.4445},
 | |
| 		{x: 0.42499, prec: 4, want: 0.425},
 | |
| 		{x: 0.42599, prec: 4, want: 0.426},
 | |
| 		{x: 0.424999999999993, prec: 2, want: 0.42},
 | |
| 		{x: 0.425, prec: 2, want: 0.43},
 | |
| 		{x: 0.425000000000001, prec: 2, want: 0.43},
 | |
| 		{x: 123.4244999999999, prec: 3, want: 123.424},
 | |
| 		{x: 123.4245, prec: 3, want: 123.425},
 | |
| 		{x: 123.4245000000001, prec: 3, want: 123.425},
 | |
| 
 | |
| 		{x: 454.45, prec: 0, want: 454},
 | |
| 		{x: 454.45, prec: 1, want: 454.5},
 | |
| 		{x: 454.45, prec: 2, want: 454.45},
 | |
| 		{x: 454.45, prec: 3, want: 454.45},
 | |
| 		{x: 454.445, prec: 0, want: 454},
 | |
| 		{x: 454.445, prec: 1, want: 454.4},
 | |
| 		{x: 454.445, prec: 2, want: 454.45},
 | |
| 		{x: 454.445, prec: 3, want: 454.445},
 | |
| 		{x: 454.445, prec: 4, want: 454.445},
 | |
| 		{x: 454.55, prec: 0, want: 455},
 | |
| 		{x: 454.55, prec: 1, want: 454.6},
 | |
| 		{x: 454.55, prec: 2, want: 454.55},
 | |
| 		{x: 454.55, prec: 3, want: 454.55},
 | |
| 		{x: 454.455, prec: 0, want: 454},
 | |
| 		{x: 454.455, prec: 1, want: 454.5},
 | |
| 		{x: 454.455, prec: 2, want: 454.46},
 | |
| 		{x: 454.455, prec: 3, want: 454.455},
 | |
| 		{x: 454.455, prec: 4, want: 454.455},
 | |
| 
 | |
| 		// Negative precision.
 | |
| 		{x: 454.45, prec: -1, want: 450},
 | |
| 		{x: 454.45, prec: -2, want: 500},
 | |
| 		{x: 500, prec: -3, want: 1000},
 | |
| 		{x: 500, prec: -4, want: 0},
 | |
| 		{x: 1500, prec: -3, want: 2000},
 | |
| 		{x: 1500, prec: -4, want: 0},
 | |
| 	} {
 | |
| 		for _, sign := range []float64{1, -1} {
 | |
| 			got := Round(sign*test.x, test.prec)
 | |
| 			want := sign * test.want
 | |
| 			if want == 0 {
 | |
| 				want = 0
 | |
| 			}
 | |
| 			if (got != want || math.Signbit(got) != math.Signbit(want)) && !(math.IsNaN(got) && math.IsNaN(want)) {
 | |
| 				t.Errorf("unexpected result for Round(%g, %d): got: %g, want: %g", sign*test.x, test.prec, got, want)
 | |
| 			}
 | |
| 		}
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestRoundEven(t *testing.T) {
 | |
| 	for _, test := range []struct {
 | |
| 		x    float64
 | |
| 		prec int
 | |
| 		want float64
 | |
| 	}{
 | |
| 		{x: 0, prec: 1, want: 0},
 | |
| 		{x: math.Inf(1), prec: 1, want: math.Inf(1)},
 | |
| 		{x: math.NaN(), prec: 1, want: math.NaN()},
 | |
| 		{x: func() float64 { var f float64; return -f }(), prec: 1, want: 0},
 | |
| 		{x: math.MaxFloat64 / 2, prec: 1, want: math.MaxFloat64 / 2},
 | |
| 		{x: 1 << 64, prec: 1, want: 1 << 64},
 | |
| 		{x: 454.4445, prec: 3, want: 454.444},
 | |
| 		{x: 454.44445, prec: 4, want: 454.4444},
 | |
| 		{x: 0.42499, prec: 4, want: 0.425},
 | |
| 		{x: 0.42599, prec: 4, want: 0.426},
 | |
| 		{x: 0.424999999999993, prec: 2, want: 0.42},
 | |
| 		{x: 0.425, prec: 2, want: 0.42},
 | |
| 		{x: 0.425000000000001, prec: 2, want: 0.43},
 | |
| 		{x: 123.4244999999999, prec: 3, want: 123.424},
 | |
| 		{x: 123.4245, prec: 3, want: 123.424},
 | |
| 		{x: 123.4245000000001, prec: 3, want: 123.425},
 | |
| 
 | |
| 		{x: 454.45, prec: 0, want: 454},
 | |
| 		{x: 454.45, prec: 1, want: 454.4},
 | |
| 		{x: 454.45, prec: 2, want: 454.45},
 | |
| 		{x: 454.45, prec: 3, want: 454.45},
 | |
| 		{x: 454.445, prec: 0, want: 454},
 | |
| 		{x: 454.445, prec: 1, want: 454.4},
 | |
| 		{x: 454.445, prec: 2, want: 454.44},
 | |
| 		{x: 454.445, prec: 3, want: 454.445},
 | |
| 		{x: 454.445, prec: 4, want: 454.445},
 | |
| 		{x: 454.55, prec: 0, want: 455},
 | |
| 		{x: 454.55, prec: 1, want: 454.6},
 | |
| 		{x: 454.55, prec: 2, want: 454.55},
 | |
| 		{x: 454.55, prec: 3, want: 454.55},
 | |
| 		{x: 454.455, prec: 0, want: 454},
 | |
| 		{x: 454.455, prec: 1, want: 454.5},
 | |
| 		{x: 454.455, prec: 2, want: 454.46},
 | |
| 		{x: 454.455, prec: 3, want: 454.455},
 | |
| 		{x: 454.455, prec: 4, want: 454.455},
 | |
| 
 | |
| 		// Negative precision.
 | |
| 		{x: 454.45, prec: -1, want: 450},
 | |
| 		{x: 454.45, prec: -2, want: 500},
 | |
| 		{x: 500, prec: -3, want: 0},
 | |
| 		{x: 500, prec: -4, want: 0},
 | |
| 		{x: 1500, prec: -3, want: 2000},
 | |
| 		{x: 1500, prec: -4, want: 0},
 | |
| 	} {
 | |
| 		for _, sign := range []float64{1, -1} {
 | |
| 			got := RoundEven(sign*test.x, test.prec)
 | |
| 			want := sign * test.want
 | |
| 			if want == 0 {
 | |
| 				want = 0
 | |
| 			}
 | |
| 			if (got != want || math.Signbit(got) != math.Signbit(want)) && !(math.IsNaN(got) && math.IsNaN(want)) {
 | |
| 				t.Errorf("unexpected result for RoundEven(%g, %d): got: %g, want: %g", sign*test.x, test.prec, got, want)
 | |
| 			}
 | |
| 		}
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestSame(t *testing.T) {
 | |
| 	s1 := []float64{1, 2, 3, 4}
 | |
| 	s2 := []float64{1, 2, 3, 4}
 | |
| 	if !Same(s1, s2) {
 | |
| 		t.Errorf("Equal slices returned as unequal")
 | |
| 	}
 | |
| 	s2 = []float64{1, 2, 3, 4 + 1e-14}
 | |
| 	if Same(s1, s2) {
 | |
| 		t.Errorf("Unequal slices returned as equal")
 | |
| 	}
 | |
| 	if Same(s1, []float64{}) {
 | |
| 		t.Errorf("Unequal slice lengths returned as equal")
 | |
| 	}
 | |
| 	s1 = []float64{1, 2, math.NaN(), 4}
 | |
| 	s2 = []float64{1, 2, math.NaN(), 4}
 | |
| 	if !Same(s1, s2) {
 | |
| 		t.Errorf("Slices with matching NaN values returned as unequal")
 | |
| 	}
 | |
| 	s1 = []float64{1, 2, math.NaN(), 4}
 | |
| 	s2 = []float64{1, math.NaN(), 3, 4}
 | |
| 	if !Same(s1, s2) {
 | |
| 		t.Errorf("Slices with unmatching NaN values returned as equal")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestScale(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	c := 5.0
 | |
| 	truth := []float64{15, 20, 5, 35, 25}
 | |
| 	Scale(c, s)
 | |
| 	AreSlicesEqual(t, truth, s, "Bad scaling")
 | |
| }
 | |
| 
 | |
| func TestSpan(t *testing.T) {
 | |
| 	receiver1 := make([]float64, 5)
 | |
| 	truth := []float64{1, 2, 3, 4, 5}
 | |
| 	receiver2 := Span(receiver1, 1, 5)
 | |
| 	AreSlicesEqual(t, truth, receiver1, "Improper linspace from mutator")
 | |
| 	AreSlicesEqual(t, truth, receiver2, "Improper linspace from returned slice")
 | |
| 	receiver1 = make([]float64, 6)
 | |
| 	truth = []float64{0, 0.2, 0.4, 0.6, 0.8, 1.0}
 | |
| 	Span(receiver1, 0, 1)
 | |
| 	AreSlicesEqual(t, truth, receiver1, "Improper linspace")
 | |
| 	if !Panics(func() { Span(nil, 1, 5) }) {
 | |
| 		t.Errorf("Span accepts nil argument")
 | |
| 	}
 | |
| 	if !Panics(func() { Span(make([]float64, 1), 1, 5) }) {
 | |
| 		t.Errorf("Span accepts argument of len = 1")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestSub(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	v := []float64{1, 2, 3, 4, 5}
 | |
| 	truth := []float64{2, 2, -2, 3, 0}
 | |
| 	Sub(s, v)
 | |
| 	AreSlicesEqual(t, truth, s, "Bad subtract")
 | |
| 	// Test that it panics
 | |
| 	if !Panics(func() { Sub(make([]float64, 2), make([]float64, 3)) }) {
 | |
| 		t.Errorf("Did not panic with length mismatch")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestSubTo(t *testing.T) {
 | |
| 	s := []float64{3, 4, 1, 7, 5}
 | |
| 	v := []float64{1, 2, 3, 4, 5}
 | |
| 	truth := []float64{2, 2, -2, 3, 0}
 | |
| 	dst1 := make([]float64, len(s))
 | |
| 	dst2 := SubTo(dst1, s, v)
 | |
| 	AreSlicesEqual(t, truth, dst1, "Bad subtract from mutator")
 | |
| 	AreSlicesEqual(t, truth, dst2, "Bad subtract from returned slice")
 | |
| 	// Test that all mismatch combinations panic
 | |
| 	if !Panics(func() { SubTo(make([]float64, 2), make([]float64, 3), make([]float64, 3)) }) {
 | |
| 		t.Errorf("Did not panic with dst different length")
 | |
| 	}
 | |
| 	if !Panics(func() { SubTo(make([]float64, 3), make([]float64, 2), make([]float64, 3)) }) {
 | |
| 		t.Errorf("Did not panic with subtractor different length")
 | |
| 	}
 | |
| 	if !Panics(func() { SubTo(make([]float64, 3), make([]float64, 3), make([]float64, 2)) }) {
 | |
| 		t.Errorf("Did not panic with subtractee different length")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestSum(t *testing.T) {
 | |
| 	s := []float64{}
 | |
| 	val := Sum(s)
 | |
| 	if val != 0 {
 | |
| 		t.Errorf("Val not returned as default when slice length is zero")
 | |
| 	}
 | |
| 	s = []float64{3, 4, 1, 7, 5}
 | |
| 	val = Sum(s)
 | |
| 	if val != 20 {
 | |
| 		t.Errorf("Wrong sum returned")
 | |
| 	}
 | |
| }
 | |
| 
 | |
| func TestWithin(t *testing.T) {
 | |
| 	for i, test := range []struct {
 | |
| 		s      []float64
 | |
| 		v      float64
 | |
| 		idx    int
 | |
| 		panics bool
 | |
| 	}{
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 5, 9},
 | |
| 			v:   1,
 | |
| 			idx: 0,
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 5, 9},
 | |
| 			v:   9,
 | |
| 			idx: -1,
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 5, 9},
 | |
| 			v:   1.5,
 | |
| 			idx: 0,
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 5, 9},
 | |
| 			v:   2,
 | |
| 			idx: 1,
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 5, 9},
 | |
| 			v:   2.5,
 | |
| 			idx: 1,
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 5, 9},
 | |
| 			v:   -3,
 | |
| 			idx: -1,
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 5, 9},
 | |
| 			v:   15,
 | |
| 			idx: -1,
 | |
| 		},
 | |
| 		{
 | |
| 			s:   []float64{1, 2, 5, 9},
 | |
| 			v:   math.NaN(),
 | |
| 			idx: -1,
 | |
| 		},
 | |
| 		{
 | |
| 			s:      []float64{5, 2, 6},
 | |
| 			panics: true,
 | |
| 		},
 | |
| 		{
 | |
| 			panics: true,
 | |
| 		},
 | |
| 		{
 | |
| 			s:      []float64{1},
 | |
| 			panics: true,
 | |
| 		},
 | |
| 	} {
 | |
| 		var idx int
 | |
| 		panics := Panics(func() { idx = Within(test.s, test.v) })
 | |
| 		if panics {
 | |
| 			if !test.panics {
 | |
| 				t.Errorf("Case %v: bad panic", i)
 | |
| 			}
 | |
| 			continue
 | |
| 		}
 | |
| 		if test.panics {
 | |
| 			if !panics {
 | |
| 				t.Errorf("Case %v: did not panic when it should", i)
 | |
| 			}
 | |
| 			continue
 | |
| 		}
 | |
| 		if idx != test.idx {
 | |
| 			t.Errorf("Case %v: Idx mismatch. Want: %v, got: %v", i, test.idx, idx)
 | |
| 		}
 | |
| 	}
 | |
| 
 | |
| }
 | |
| 
 | |
| func randomSlice(l int) []float64 {
 | |
| 	s := make([]float64, l)
 | |
| 	for i := range s {
 | |
| 		s[i] = rand.Float64()
 | |
| 	}
 | |
| 	return s
 | |
| }
 | |
| 
 | |
| func benchmarkMin(b *testing.B, size int) {
 | |
| 	s := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		Min(s)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkMinSmall(b *testing.B) { benchmarkMin(b, Small) }
 | |
| func BenchmarkMinMed(b *testing.B)   { benchmarkMin(b, Medium) }
 | |
| func BenchmarkMinLarge(b *testing.B) { benchmarkMin(b, Large) }
 | |
| func BenchmarkMinHuge(b *testing.B)  { benchmarkMin(b, Huge) }
 | |
| 
 | |
| func benchmarkAdd(b *testing.B, size int) {
 | |
| 	s1 := randomSlice(size)
 | |
| 	s2 := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		Add(s1, s2)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkAddSmall(b *testing.B) { benchmarkAdd(b, Small) }
 | |
| func BenchmarkAddMed(b *testing.B)   { benchmarkAdd(b, Medium) }
 | |
| func BenchmarkAddLarge(b *testing.B) { benchmarkAdd(b, Large) }
 | |
| func BenchmarkAddHuge(b *testing.B)  { benchmarkAdd(b, Huge) }
 | |
| 
 | |
| func benchmarkAddTo(b *testing.B, size int) {
 | |
| 	s1 := randomSlice(size)
 | |
| 	s2 := randomSlice(size)
 | |
| 	dst := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		AddTo(dst, s1, s2)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkAddToSmall(b *testing.B) { benchmarkAddTo(b, Small) }
 | |
| func BenchmarkAddToMed(b *testing.B)   { benchmarkAddTo(b, Medium) }
 | |
| func BenchmarkAddToLarge(b *testing.B) { benchmarkAddTo(b, Large) }
 | |
| func BenchmarkAddToHuge(b *testing.B)  { benchmarkAddTo(b, Huge) }
 | |
| 
 | |
| func benchmarkCumProd(b *testing.B, size int) {
 | |
| 	s := randomSlice(size)
 | |
| 	dst := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		CumProd(dst, s)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkCumProdSmall(b *testing.B) { benchmarkCumProd(b, Small) }
 | |
| func BenchmarkCumProdMed(b *testing.B)   { benchmarkCumProd(b, Medium) }
 | |
| func BenchmarkCumProdLarge(b *testing.B) { benchmarkCumProd(b, Large) }
 | |
| func BenchmarkCumProdHuge(b *testing.B)  { benchmarkCumProd(b, Huge) }
 | |
| 
 | |
| func benchmarkCumSum(b *testing.B, size int) {
 | |
| 	s := randomSlice(size)
 | |
| 	dst := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		CumSum(dst, s)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkCumSumSmall(b *testing.B) { benchmarkCumSum(b, Small) }
 | |
| func BenchmarkCumSumMed(b *testing.B)   { benchmarkCumSum(b, Medium) }
 | |
| func BenchmarkCumSumLarge(b *testing.B) { benchmarkCumSum(b, Large) }
 | |
| func BenchmarkCumSumHuge(b *testing.B)  { benchmarkCumSum(b, Huge) }
 | |
| 
 | |
| func benchmarkDiv(b *testing.B, size int) {
 | |
| 	s := randomSlice(size)
 | |
| 	dst := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		Div(dst, s)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkDivSmall(b *testing.B) { benchmarkDiv(b, Small) }
 | |
| func BenchmarkDivMed(b *testing.B)   { benchmarkDiv(b, Medium) }
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| func BenchmarkDivLarge(b *testing.B) { benchmarkDiv(b, Large) }
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| func BenchmarkDivHuge(b *testing.B)  { benchmarkDiv(b, Huge) }
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| 
 | |
| func benchmarkDivTo(b *testing.B, size int) {
 | |
| 	s1 := randomSlice(size)
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| 	s2 := randomSlice(size)
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| 	dst := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		DivTo(dst, s1, s2)
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| 	}
 | |
| }
 | |
| func BenchmarkDivToSmall(b *testing.B) { benchmarkDivTo(b, Small) }
 | |
| func BenchmarkDivToMed(b *testing.B)   { benchmarkDivTo(b, Medium) }
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| func BenchmarkDivToLarge(b *testing.B) { benchmarkDivTo(b, Large) }
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| func BenchmarkDivToHuge(b *testing.B)  { benchmarkDivTo(b, Huge) }
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| 
 | |
| func benchmarkSub(b *testing.B, size int) {
 | |
| 	s1 := randomSlice(size)
 | |
| 	s2 := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		Sub(s1, s2)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkSubSmall(b *testing.B) { benchmarkSub(b, Small) }
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| func BenchmarkSubMed(b *testing.B)   { benchmarkSub(b, Medium) }
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| func BenchmarkSubLarge(b *testing.B) { benchmarkSub(b, Large) }
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| func BenchmarkSubHuge(b *testing.B)  { benchmarkSub(b, Huge) }
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| 
 | |
| func benchmarkSubTo(b *testing.B, size int) {
 | |
| 	s1 := randomSlice(size)
 | |
| 	s2 := randomSlice(size)
 | |
| 	dst := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		SubTo(dst, s1, s2)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkSubToSmall(b *testing.B) { benchmarkSubTo(b, Small) }
 | |
| func BenchmarkSubToMed(b *testing.B)   { benchmarkSubTo(b, Medium) }
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| func BenchmarkSubToLarge(b *testing.B) { benchmarkSubTo(b, Large) }
 | |
| func BenchmarkSubToHuge(b *testing.B)  { benchmarkSubTo(b, Huge) }
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| 
 | |
| func benchmarkLogSumExp(b *testing.B, size int) {
 | |
| 	s := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		LogSumExp(s)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkLogSumExpSmall(b *testing.B) { benchmarkLogSumExp(b, Small) }
 | |
| func BenchmarkLogSumExpMed(b *testing.B)   { benchmarkLogSumExp(b, Medium) }
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| func BenchmarkLogSumExpLarge(b *testing.B) { benchmarkLogSumExp(b, Large) }
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| func BenchmarkLogSumExpHuge(b *testing.B)  { benchmarkLogSumExp(b, Huge) }
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| 
 | |
| func benchmarkDot(b *testing.B, size int) {
 | |
| 	s1 := randomSlice(size)
 | |
| 	s2 := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		Dot(s1, s2)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkDotSmall(b *testing.B) { benchmarkDot(b, Small) }
 | |
| func BenchmarkDotMed(b *testing.B)   { benchmarkDot(b, Medium) }
 | |
| func BenchmarkDotLarge(b *testing.B) { benchmarkDot(b, Large) }
 | |
| func BenchmarkDotHuge(b *testing.B)  { benchmarkDot(b, Huge) }
 | |
| 
 | |
| func benchmarkAddScaledTo(b *testing.B, size int) {
 | |
| 	dst := randomSlice(size)
 | |
| 	y := randomSlice(size)
 | |
| 	s := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i++ {
 | |
| 		AddScaledTo(dst, y, 2.3, s)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkAddScaledToSmall(b *testing.B)  { benchmarkAddScaledTo(b, Small) }
 | |
| func BenchmarkAddScaledToMedium(b *testing.B) { benchmarkAddScaledTo(b, Medium) }
 | |
| func BenchmarkAddScaledToLarge(b *testing.B)  { benchmarkAddScaledTo(b, Large) }
 | |
| func BenchmarkAddScaledToHuge(b *testing.B)   { benchmarkAddScaledTo(b, Huge) }
 | |
| 
 | |
| func benchmarkScale(b *testing.B, size int) {
 | |
| 	dst := randomSlice(size)
 | |
| 	b.ResetTimer()
 | |
| 	for i := 0; i < b.N; i += 2 {
 | |
| 		Scale(2.0, dst)
 | |
| 		Scale(0.5, dst)
 | |
| 	}
 | |
| }
 | |
| func BenchmarkScaleSmall(b *testing.B)  { benchmarkScale(b, Small) }
 | |
| func BenchmarkScaleMedium(b *testing.B) { benchmarkScale(b, Medium) }
 | |
| func BenchmarkScaleLarge(b *testing.B)  { benchmarkScale(b, Large) }
 | |
| func BenchmarkScaleHuge(b *testing.B)   { benchmarkScale(b, Huge) }
 | 
