@nexys/math-ts/dist/integral.js

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"use strict";
Object.defineProperty(exports, "__esModule", { value: true });
exports.generic = (f, a, n, method = "simpson") => {
    const dx = (a[1] - a[0]) / n;
    const evalFunc = (f, x, b, dx, g) => {
        if (x > b) {
            return 0;
        }
        else {
            return g(f, x, dx) + evalFunc(f, x + dx, b, dx, g);
        }
    };
    return evalFunc(f, a[0], a[1], dx, getMethod(method));
};
const getMethod = (m) => {
    switch (m) {
        case 'simpson':
            return simpson;
        case 'trapezoidal':
            return trapezoidal;
        default:
            return rectangle;
    }
};
const rectangle = (f, x, dx) => f(x) * dx;
const trapezoidal = (f, x, dx) => (f(x) + f(x + dx)) / 2 * dx;
const simpson = (f, x, dx) => (f(x) + 4 * f((2 * x + dx) / 2) + f(x + dx)) * dx / 6;