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math: special cases for Fmod
Added special case tests to all_test.go for Fmod. Fixed Fmod [hung for Fmod(+/-Inf, <finite>)]. Also added test for Ceil in all_test.go. R=rsc CC=golang-dev https://golang.org/cl/186076
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@ -1,4 +1,4 @@
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// Copyright 2009 The Go Authors. All rights reserved.
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// Copyright 2009-2010 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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@ -58,6 +58,18 @@ var atan = []float64{
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1.0696031952318783e+00,
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-1.4561721938838085e+00,
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}
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var ceil = []float64{
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5.0000000000000000e+00,
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8.0000000000000000e+00,
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0.0000000000000000e+00,
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-5.0000000000000000e+00,
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1.0000000000000000e+01,
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3.0000000000000000e+00,
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6.0000000000000000e+00,
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3.0000000000000000e+00,
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2.0000000000000000e+00,
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-8.0000000000000000e+00,
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}
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var exp = []float64{
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1.4533071302642137e+02,
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2.2958822575694450e+03,
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@ -82,6 +94,18 @@ var floor = []float64{
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1.0000000000000000e+00,
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-9.0000000000000000e+00,
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}
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var fmod = []float64{
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4.1976150232653000e-02,
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2.2611275254218955e+00,
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3.2317941087942760e-02,
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4.9893963817289251e+00,
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3.6370629280158270e-01,
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1.2208682822681062e+00,
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4.7709165685406934e+00,
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1.8161802686919694e+00,
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8.7345954159572500e-01,
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1.3140752314243987e+00,
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}
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var log = []float64{
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1.6052314626930630e+00,
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2.0462560018708768e+00,
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@ -185,6 +209,72 @@ var vfatanSC = []float64{
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var atanSC = []float64{
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NaN(),
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}
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var vffmodSC = [][2]float64{
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[2]float64{Inf(-1), Inf(-1)},
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[2]float64{Inf(-1), -Pi},
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[2]float64{Inf(-1), 0},
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[2]float64{Inf(-1), Pi},
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[2]float64{Inf(-1), Inf(1)},
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[2]float64{Inf(-1), NaN()},
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[2]float64{-Pi, Inf(-1)},
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[2]float64{-Pi, 0},
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[2]float64{-Pi, Inf(1)},
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[2]float64{-Pi, NaN()},
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[2]float64{0, Inf(-1)},
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[2]float64{0, 0},
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[2]float64{0, Inf(1)},
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[2]float64{0, NaN()},
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[2]float64{Pi, Inf(-1)},
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[2]float64{Pi, 0},
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[2]float64{Pi, Inf(1)},
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[2]float64{Pi, NaN()},
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[2]float64{Inf(1), Inf(-1)},
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[2]float64{Inf(1), -Pi},
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[2]float64{Inf(1), 0},
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[2]float64{Inf(1), Pi},
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[2]float64{Inf(1), Inf(1)},
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[2]float64{Inf(1), NaN()},
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[2]float64{NaN(), Inf(-1)},
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[2]float64{NaN(), -Pi},
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[2]float64{NaN(), 0},
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[2]float64{NaN(), Pi},
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[2]float64{NaN(), Inf(1)},
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[2]float64{NaN(), NaN()},
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}
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var fmodSC = []float64{
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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-Pi,
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NaN(),
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-Pi,
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NaN(),
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0,
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NaN(),
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0,
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NaN(),
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Pi,
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NaN(),
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Pi,
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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NaN(),
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}
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var vfpowSC = [][2]float64{
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[2]float64{-Pi, Pi},
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[2]float64{-Pi, -Pi},
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@ -344,6 +434,14 @@ func TestAtan(t *testing.T) {
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}
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}
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func TestCeil(t *testing.T) {
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for i := 0; i < len(vf); i++ {
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if f := Ceil(vf[i]); ceil[i] != f {
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t.Errorf("Ceil(%g) = %g, want %g\n", vf[i], f, ceil[i])
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}
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}
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}
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func TestExp(t *testing.T) {
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for i := 0; i < len(vf); i++ {
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if f := Exp(vf[i]); !veryclose(exp[i], f) {
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@ -360,6 +458,19 @@ func TestFloor(t *testing.T) {
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}
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}
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func TestFmod(t *testing.T) {
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for i := 0; i < len(vf); i++ {
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if f := Fmod(10, vf[i]); !close(fmod[i], f) {
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t.Errorf("Fmod(10, %.17g) = %.17g, want %.17g\n", vf[i], f, fmod[i])
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}
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}
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for i := 0; i < len(vffmodSC); i++ {
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if f := Fmod(vffmodSC[i][0], vffmodSC[i][1]); !alike(fmodSC[i], f) {
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t.Errorf("Fmod(%.17g, %.17g) = %.17g, want %.17g\n", vffmodSC[i][0], vffmodSC[i][1], f, fmodSC[i])
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}
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}
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}
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func TestLog(t *testing.T) {
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for i := 0; i < len(vf); i++ {
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a := Fabs(vf[i])
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@ -1,4 +1,4 @@
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// Copyright 2009 The Go Authors. All rights reserved.
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// Copyright 2009-2010 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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@ -6,13 +6,21 @@ package math
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/*
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Floating-point mod func without infinity or NaN checking
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Floating-point mod function.
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*/
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// Fmod returns the floating-point remainder of x/y.
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// The magnitude of the result is less than y and its
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// sign agrees with that of x.
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//
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// Special cases are:
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// if x is not finite, Fmod returns NaN
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// if y is 0 or NaN, Fmod returns NaN
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func Fmod(x, y float64) float64 {
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if y == 0 {
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return x
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// TODO(rsc): Remove manual inlining of IsNaN, IsInf
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// when compiler does it for us.
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if y == 0 || x > MaxFloat64 || x < -MaxFloat64 || x != x || y != y { // y == 0 || IsInf(x, 0) || IsNaN(x) || IsNan(y)
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return NaN()
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}
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if y < 0 {
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y = -y
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