How to resolve the algorithm Numerical integration step by step in the Rust programming language

Published on 12 May 2024 09:40 PM
#Rust

How to resolve the algorithm Numerical integration step by step in the Rust programming language

Table of Contents

Problem Statement

Write functions to calculate the definite integral of a function ƒ(x) using all five of the following methods: Your functions should take in the upper and lower bounds (a and b), and the number of approximations to make in that range (n). Assume that your example already has a function that gives values for ƒ(x) . Simpson's method is defined by the following pseudo-code:

Demonstrate your function by showing the results for:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Numerical integration step by step in the Rust programming language

Source code in the rust programming language

fn integral<F>(f: F, range: std::ops::Range<f64>, n_steps: u32) -> f64
    where F: Fn(f64) -> f64
{
    let step_size = (range.end - range.start)/n_steps as f64;

    let mut integral = (f(range.start) + f(range.end))/2.;
    let mut pos = range.start + step_size;
    while pos < range.end {
        integral += f(pos);
        pos += step_size;
    }
    integral * step_size
}

fn main() {
    println!("{}", integral(|x| x.powi(3), 0.0..1.0, 100));
    println!("{}", integral(|x| 1.0/x, 1.0..100.0, 1000));
    println!("{}", integral(|x| x, 0.0..5000.0, 5_000_000));
    println!("{}", integral(|x| x, 0.0..6000.0, 6_000_000));
}

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