math-optim/bench/functions.go
leo fa441d8b1f
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chore(bench): res -> sum in Schwefel
2023-02-04 19:24:50 +01:00

85 lines
1.8 KiB
Go

// Copyright 2023 wanderer <a_mirre at utb dot cz>
// SPDX-License-Identifier: GPL-3.0-or-later
package bench
import "math"
// Functions is a string-func map of function names and specific bench funcs
// for easier iterable access.
var Functions = map[string]func([]float64) float64{
"Schwefel": Schwefel,
"De Jong 1st": DeJong1st,
"De Jong 2nd": DeJong2nd,
"Rastrigin": Rastrigin,
}
// FuncNames represents a numbered list of function name.
var FuncNames = map[int]string{
0: "Schwefel",
1: "De Jong 1st",
2: "De Jong 2nd",
3: "Rastrigin",
}
// Function params maps function names to their funcParams for easier iterable
// access.
var FunctionParams = map[string]funcParams{
"Schwefel": SchwefelParams,
"De Jong 1st": DeJong1Params,
"De Jong 2nd": DeJong2Params,
"Rastrigin": RastriginParams,
}
// Schwefel computes the value of the Schwefel function for x.
func Schwefel(x []float64) float64 {
// - Domain is | x_i | < 500
// - Global minimum at fmin = 0 at x_i = 420.9687
var sum float64
for _, val := range x {
sum += val * math.Sin(math.Sqrt(math.Abs(val)))
}
return 418.9829*float64(len(x)) - sum
}
// DeJong1st computes the value of the 1st De Jong function for x.
func DeJong1st(x []float64) float64 {
var res float64
for _, val := range x {
res += math.Pow(val, 2)
}
return res
}
// DeJong2nd computes the value of the 2nd De Jong function for x.
func DeJong2nd(x []float64) float64 {
var res float64
for _, val := range x {
res += math.Floor(val)
}
return res
}
// Rastrigin computes the value of the Rastrigin function for x.
// ref: https://www.sfu.ca/~ssurjano/rastr.html
func Rastrigin(x []float64) float64 {
var sum float64
// dimension of vector x.
d := float64(len(x))
for _, xi := range x {
sum += math.Pow(xi, 2) - 10*(math.Cos(2*math.Pi*xi))
}
y := (10 * d) + sum
return y
}