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