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38 lines
1.4 KiB
Go
38 lines
1.4 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 "gonum.org/v1/gonum/mathext/internal/amos"
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// AiryAi returns the value of the Airy function at z. The Airy function here,
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// Ai(z), is one of the two linearly independent solutions to
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// y'' - y*z = 0.
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// See http://mathworld.wolfram.com/AiryFunctions.html for more detailed information.
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func AiryAi(z complex128) complex128 {
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// id specifies the order of the derivative to compute,
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// 0 for the function itself and 1 for the derivative.
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// kode specifies the scaling option. See the function
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// documentation for the exact behavior.
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id := 0
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kode := 1
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air, aii, _ := amos.Zairy(real(z), imag(z), id, kode)
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return complex(air, aii)
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}
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// AiryAiDeriv returns the value of the derivative of the Airy function at z. The
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// Airy function here, Ai(z), is one of the two linearly independent solutions to
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// y'' - y*z = 0.
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// See http://mathworld.wolfram.com/AiryFunctions.html for more detailed information.
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func AiryAiDeriv(z complex128) complex128 {
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// id specifies the order of the derivative to compute,
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// 0 for the function itself and 1 for the derivative.
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// kode specifies the scaling option. See the function
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// documentation for the exact behavior.
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id := 1
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kode := 1
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air, aii, _ := amos.Zairy(real(z), imag(z), id, kode)
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return complex(air, aii)
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}
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