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// Copyright ©2016 The Gonum Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package mathext
import (
"math"
"testing"
)
func TestZeta(t *testing.T) {
t.Parallel()
for i, test := range []struct {
x, q, want float64
}{
// Results computed using scipy.special.zeta
{1, 1, math.Inf(1)},
{1.00001, 0.5, 100001.96352290553},
{1.0001, 25, 9996.8017690244506},
{1.001, 1, 1000.5772884760117},
{1.01, 10, 97.773405639173305},
{1.5, 2, 1.6123753486854886},
{1.5, 20, 0.45287361712938717},
{2, -0.7, 14.28618087263834},
{2.5, 0.5, 6.2471106345688137},
{5, 2.5, 0.013073166646113805},
{7.5, 5, 7.9463377443314306e-06},
{10, -0.5, 2048.0174503557578},
{10, 0.5, 1024.0174503557578},
{10, 7.5, 2.5578265694201971e-9},
{12, 2.5, 1.7089167198843551e-5},
{17, 0.5, 131072.00101513157},
{20, -2.5, 2097152.0006014798},
{20, 0.75, 315.3368689825316},
{25, 0.25, 1125899906842624.0},
{30, 1, 1.0000000009313275},
} {
if got := Zeta(test.x, test.q); math.Abs(got-test.want) > 1e-10 {
t.Errorf("test %d Zeta(%g, %g) failed: got %g want %g", i, test.x, test.q, got, test.want)
}
}
}
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