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Diffstat (limited to 'src/math/huge_test.go')
-rw-r--r-- | src/math/huge_test.go | 115 |
1 files changed, 115 insertions, 0 deletions
diff --git a/src/math/huge_test.go b/src/math/huge_test.go new file mode 100644 index 0000000..bc28c6f --- /dev/null +++ b/src/math/huge_test.go @@ -0,0 +1,115 @@ +// Copyright 2018 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. + +// Disabled for s390x because it uses assembly routines that are not +// accurate for huge arguments. + +//go:build !s390x + +package math_test + +import ( + . "math" + "testing" +) + +// Inputs to test trig_reduce +var trigHuge = []float64{ + 1 << 28, + 1 << 29, + 1 << 30, + 1 << 35, + 1 << 120, + 1 << 240, + 1 << 480, + 1234567891234567 << 180, + 1234567891234567 << 300, + MaxFloat64, +} + +// Results for trigHuge[i] calculated with https://github.com/robpike/ivy +// using 4096 bits of working precision. Values requiring less than +// 102 decimal digits (1 << 120, 1 << 240, 1 << 480, 1234567891234567 << 180) +// were confirmed via https://keisan.casio.com/ +var cosHuge = []float64{ + -0.16556897949057876, + -0.94517382606089662, + 0.78670712294118812, + -0.76466301249635305, + -0.92587902285483787, + 0.93601042593353793, + -0.28282777640193788, + -0.14616431394103619, + -0.79456058210671406, + -0.99998768942655994, +} + +var sinHuge = []float64{ + -0.98619821183697566, + 0.32656766301856334, + -0.61732641504604217, + -0.64443035102329113, + 0.37782010936075202, + -0.35197227524865778, + 0.95917070894368716, + 0.98926032637023618, + -0.60718488235646949, + 0.00496195478918406, +} + +var tanHuge = []float64{ + 5.95641897939639421, + -0.34551069233430392, + -0.78469661331920043, + 0.84276385870875983, + -0.40806638884180424, + -0.37603456702698076, + -3.39135965054779932, + -6.76813854009065030, + 0.76417695016604922, + -0.00496201587444489, +} + +// Check that trig values of huge angles return accurate results. +// This confirms that argument reduction works for very large values +// up to MaxFloat64. +func TestHugeCos(t *testing.T) { + for i := 0; i < len(trigHuge); i++ { + f1 := cosHuge[i] + f2 := Cos(trigHuge[i]) + if !close(f1, f2) { + t.Errorf("Cos(%g) = %g, want %g", trigHuge[i], f2, f1) + } + } +} + +func TestHugeSin(t *testing.T) { + for i := 0; i < len(trigHuge); i++ { + f1 := sinHuge[i] + f2 := Sin(trigHuge[i]) + if !close(f1, f2) { + t.Errorf("Sin(%g) = %g, want %g", trigHuge[i], f2, f1) + } + } +} + +func TestHugeSinCos(t *testing.T) { + for i := 0; i < len(trigHuge); i++ { + f1, g1 := sinHuge[i], cosHuge[i] + f2, g2 := Sincos(trigHuge[i]) + if !close(f1, f2) || !close(g1, g2) { + t.Errorf("Sincos(%g) = %g, %g, want %g, %g", trigHuge[i], f2, g2, f1, g1) + } + } +} + +func TestHugeTan(t *testing.T) { + for i := 0; i < len(trigHuge); i++ { + f1 := tanHuge[i] + f2 := Tan(trigHuge[i]) + if !close(f1, f2) { + t.Errorf("Tan(%g) = %g, want %g", trigHuge[i], f2, f1) + } + } +} |