Step by Step solution about How to resolve the algorithm First-class functions step by step in the Go programming language

The provided Go program demonstrates function composition by applying a sequence of functions to an input value. It defines a funclist containing trigonometric functions and a funclisti containing the inverse trigonometric functions. It then composes each pair of functions and displays the result.

Here's a breakdown of the program:

1. Custom Function:

   • It defines a cube function that calculates the cube of a given float64 value.

2. Function Composition:

   • The compose function takes two ffType functions (functions that take a float64 and return a float64) as input. It returns a new function that applies f to the output of g.

3. Main Function:

   • The main function initializes two lists of ffType functions:
     • funclist: Contains math.Sin, math.Cos, and cube.
     • funclisti: Contains math.Asin, math.Acos, and math.Cbrt.
   • It iterates through each pair of functions in the lists.
   • For each pair, it composes the inverse function (from funclisti) with the original function (from funclist) using the compose function.
   • It prints the result of applying the composed function to the input value 0.5.

The program demonstrates how to compose functions to create a series of transformations that can be applied to data. In this case, it applies trigonometric and inverse trigonometric transformations and displays the results.

package main

import "math"
import "fmt"

// user-defined function, per task.  Other math functions used are built-in.
func cube(x float64) float64 { return math.Pow(x, 3) }

// ffType and compose function taken from Function composition task
type ffType func(float64) float64

func compose(f, g ffType) ffType {
    return func(x float64) float64 {
        return f(g(x))
    }
}

func main() {
    // collection A
    funclist := []ffType{math.Sin, math.Cos, cube}
    // collection B
    funclisti := []ffType{math.Asin, math.Acos, math.Cbrt}
    for i := 0; i < 3; i++ {
        // apply composition and show result
        fmt.Println(compose(funclisti[i], funclist[i])(.5))
    }
}