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43 lines
1.2 KiB
Go
43 lines
1.2 KiB
Go
// Copyright ©2016 The Gonum 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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package mathext
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import (
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"math"
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"testing"
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)
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func TestZeta(t *testing.T) {
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for i, test := range []struct {
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x, q, want float64
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}{
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// Results computed using scipy.special.zeta
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{1, 1, math.Inf(1)},
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{1.00001, 0.5, 100001.96352290553},
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{1.0001, 25, 9996.8017690244506},
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{1.001, 1, 1000.5772884760117},
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{1.01, 10, 97.773405639173305},
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{1.5, 2, 1.6123753486854886},
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{1.5, 20, 0.45287361712938717},
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{2, -0.7, 14.28618087263834},
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{2.5, 0.5, 6.2471106345688137},
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{5, 2.5, 0.013073166646113805},
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{7.5, 5, 7.9463377443314306e-06},
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{10, -0.5, 2048.0174503557578},
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{10, 0.5, 1024.0174503557578},
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{10, 7.5, 2.5578265694201971e-9},
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{12, 2.5, 1.7089167198843551e-5},
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{17, 0.5, 131072.00101513157},
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{20, -2.5, 2097152.0006014798},
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{20, 0.75, 315.3368689825316},
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{25, 0.25, 1125899906842624.0},
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{30, 1, 1.0000000009313275},
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} {
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if got := Zeta(test.x, test.q); math.Abs(got-test.want) > 1e-10 {
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t.Errorf("test %d Zeta(%g, %g) failed: got %g want %g", i, test.x, test.q, got, test.want)
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}
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}
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}
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