@coffeeandfun/maths-captcha/src/question-types/power.js

Maths-Captcha is a simple Node.js module that generates random math questions to verify human interaction. It creates math problems like addition, subtraction, multiplication, division, powers, percentages, sequences, and algebra, and checks if the user's

import { randomInt, randomChoice } from '../random.js';

const POWER_STYLES = ['square', 'cube', 'sqrt'];

export function generatePower(config, options = {}) {
  const style = options.style ?? randomChoice(POWER_STYLES);

  if (style === 'square') return buildSquare();
  if (style === 'cube') return buildCube();
  return buildSquareRoot();
}

function buildSquare() {
  const base = randomInt(2, 12);
  const result = base * base;
  return {
    question: `${base}^2`,
    answer: result.toString(),
    numericAnswer: result,
    operation: '^',
    operands: [base, 2],
    type: 'power',
    style: 'square',
  };
}

function buildCube() {
  const base = randomInt(2, 6);
  const result = base * base * base;
  return {
    question: `${base}^3`,
    answer: result.toString(),
    numericAnswer: result,
    operation: '^',
    operands: [base, 3],
    type: 'power',
    style: 'cube',
  };
}

function buildSquareRoot() {
  const root = randomInt(2, 15);
  const radicand = root * root;
  return {
    question: `√${radicand}`,
    answer: root.toString(),
    numericAnswer: root,
    operation: '√',
    operands: [radicand],
    type: 'power',
    style: 'sqrt',
  };
}