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36 lines
937 B
Go
36 lines
937 B
Go
// Copyright ©2018 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 hyperdual_test
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import (
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"fmt"
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"gonum.org/v1/gonum/num/hyperdual"
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)
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func ExampleNumber_fike() {
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// Calculate the value and first and second derivatives
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// of the function e^x/(sqrt(sin(x)^3 + cos(x)^3)).
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fn := func(x hyperdual.Number) hyperdual.Number {
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return hyperdual.Mul(
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hyperdual.Exp(x),
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hyperdual.Inv(hyperdual.Sqrt(
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hyperdual.Add(
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hyperdual.PowReal(hyperdual.Sin(x), 3),
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hyperdual.PowReal(hyperdual.Cos(x), 3)))))
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}
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v := fn(hyperdual.Number{Real: 1.5, E1mag: 1, E2mag: 1})
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fmt.Printf("v=%.4f\n", v)
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fmt.Printf("fn(1.5)=%.4f\nfn'(1.5)=%.4f\nfn''(1.5)=%.4f\n", v.Real, v.E1mag, v.E1E2mag)
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// Output:
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//
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// v=(4.4978+4.0534ϵ₁+4.0534ϵ₂+9.4631ϵ₁ϵ₂)
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// fn(1.5)=4.4978
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// fn'(1.5)=4.0534
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// fn''(1.5)=9.4631
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}
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