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67 lines
2.0 KiB
Go
67 lines
2.0 KiB
Go
// Copyright ©2019 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 integrate
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import (
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"math"
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"testing"
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"gonum.org/v1/gonum/floats"
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"gonum.org/v1/gonum/integrate/testquad"
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)
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func TestRomberg(t *testing.T) {
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t.Parallel()
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for i, test := range []struct {
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integral testquad.Integral
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n int
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tol float64
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}{
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{integral: testquad.Constant(0), n: 3, tol: 0},
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{integral: testquad.Constant(0), n: 1<<5 + 1, tol: 0},
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{integral: testquad.Poly(0), n: 3, tol: 1e-14},
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{integral: testquad.Poly(0), n: 1<<5 + 1, tol: 1e-14},
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{integral: testquad.Poly(1), n: 3, tol: 1e-14},
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{integral: testquad.Poly(1), n: 1<<5 + 1, tol: 1e-14},
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{integral: testquad.Poly(2), n: 3, tol: 1e-14},
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{integral: testquad.Poly(2), n: 1<<5 + 1, tol: 1e-14},
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{integral: testquad.Poly(3), n: 3, tol: 1e-14},
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{integral: testquad.Poly(3), n: 1<<5 + 1, tol: 1e-14},
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{integral: testquad.Poly(4), n: 5, tol: 1e-14},
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{integral: testquad.Poly(4), n: 1<<5 + 1, tol: 1e-14},
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{integral: testquad.Poly(5), n: 5, tol: 1e-14},
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{integral: testquad.Poly(5), n: 1<<5 + 1, tol: 1e-14},
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{integral: testquad.Sin(), n: 1<<3 + 1, tol: 1e-10},
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{integral: testquad.Sin(), n: 1<<5 + 1, tol: 1e-14},
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{integral: testquad.XExpMinusX(), n: 1<<3 + 1, tol: 1e-9},
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{integral: testquad.XExpMinusX(), n: 1<<5 + 1, tol: 1e-14},
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{integral: testquad.Sqrt(), n: 1<<10 + 1, tol: 1e-5},
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{integral: testquad.ExpOverX2Plus1(), n: 1<<4 + 1, tol: 1e-7},
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{integral: testquad.ExpOverX2Plus1(), n: 1<<6 + 1, tol: 1e-14},
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} {
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n := test.n
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a := test.integral.A
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b := test.integral.B
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x := make([]float64, n)
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floats.Span(x, a, b)
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y := make([]float64, n)
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for i, xi := range x {
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y[i] = test.integral.F(xi)
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}
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dx := (b - a) / float64(n-1)
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got := Romberg(y, dx)
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want := test.integral.Value
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diff := math.Abs(got - want)
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if diff > test.tol {
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t.Errorf("Test #%d: %v, n=%v: unexpected result; got=%v want=%v diff=%v",
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i, test.integral.Name, n, got, want, diff)
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}
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}
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}
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