MathGPT-like interface with problem solving for Mathspace
Tính đến
// ==UserScript==
// @name MathSpace MathGPT Integration
// @namespace http://tampermonkey.net/
// @version 1.69420
// @description MathGPT-like interface with problem solving for Mathspace
// @author PrimeMinisteModiji1111111111
// @match https://*.mathspace.co/*
// @grant GM_addStyle
// @grant GM_xmlhttpRequest
// ==/UserScript==
(function() {
'use strict';
GM_addStyle(`
.mathgpt-container {
position: fixed;
right: 20px;
top: 20px;
width: 400px;
background: white;
border-radius: 10px;
box-shadow: 0 2px 10px rgba(0,0,0,0.1);
z-index: 9999;
padding: 20px;
font-family: Arial, sans-serif;
}
.mathgpt-header {
display: flex;
align-items: center;
gap: 10px;
margin-bottom: 15px;
}
.mathgpt-title {
font-size: 20px;
font-weight: bold;
color: #1a73e8;
}
.mathgpt-input {
width: 100%;
min-height: 60px;
border: 1px solid #ddd;
border-radius: 10px;
padding: 10px;
margin-bottom: 10px;
resize: none;
font-size: 14px;
}
.mathgpt-button {
background: #1a73e8;
color: white;
border: none;
padding: 8px 15px;
border-radius: 5px;
cursor: pointer;
font-size: 14px;
transition: background 0.3s;
}
.mathgpt-button:hover {
background: #1557b0;
}
.mathgpt-solution {
margin-top: 15px;
padding: 15px;
background: #f8f9fa;
border-radius: 10px;
display: none;
}
.mathgpt-step {
background: white;
padding: 10px;
margin: 5px 0;
border-radius: 5px;
border: 1px solid #eee;
}
.mathgpt-error {
color: #dc3545;
padding: 10px;
background: #ffe6e6;
border-radius: 5px;
margin-top: 10px;
}
`);
class MathSolver {
solve(problem) {
problem = this.prepareProblem(problem);
const type = this.identifyProblemType(problem);
try {
switch(type) {
case 'arithmetic':
return this.solveArithmetic(problem);
case 'algebraic':
return this.solveAlgebraic(problem);
case 'quadratic':
return this.solveQuadratic(problem);
default:
return this.solveBasic(problem);
}
} catch (error) {
throw new Error('Unable to solve problem: ' + error.message);
}
}
prepareProblem(problem) {
return problem
.replace(/÷/g, '/')
.replace(/×/g, '*')
.replace(/\^/g, '**')
.trim();
}
identifyProblemType(problem) {
const cleanProblem = problem.replace(/\s+/g, '');
if (cleanProblem.includes('x²') ||
cleanProblem.includes('x**2') ||
cleanProblem.match(/x\^2/)) {
return 'quadratic';
}
if (cleanProblem.includes('x') || cleanProblem.includes('=')) {
return 'algebraic';
}
return 'arithmetic';
}
solveArithmetic(problem) {
const result = this.safeEval(problem);
return {
steps: [
`Original expression: ${problem}`,
`Simplified result: ${result}`
],
result: result,
type: 'arithmetic'
};
}
solveAlgebraic(problem) {
if (!problem.includes('=')) {
throw new Error('Algebraic equations must contain an equals sign');
}
const [left, right] = problem.split('=').map(side => side.trim());
// Simple linear equation solver
if (left.includes('x')) {
const coefficient = this.getCoefficient(left);
const constant = this.getConstant(right);
const solution = constant / coefficient;
return {
steps: [
`Original equation: ${problem}`,
`Isolating x term: ${left} = ${right}`,
`Solving for x: x = ${solution}`
],
result: solution,
type: 'algebraic'
};
}
throw new Error('Cannot solve this type of algebraic equation');
}
solveQuadratic(problem) {
// Remove spaces and convert to standard form
let equation = problem.replace(/\s+/g, '');
// Handle equations with = 0
if (equation.includes('=')) {
const [left, right] = equation.split('=').map(side => side.trim());
equation = left + '-(' + right + ')';
}
// Parse coefficients
let a = 0, b = 0, c = 0;
// Convert equation to standard form
equation = equation
.replace(/-x²/g, '-1x²')
.replace(/\+x²/g, '+1x²')
.replace(/^x²/, '1x²')
.replace(/-x(?!²)/g, '-1x')
.replace(/\+x(?!²)/g, '+1x')
.replace(/^x(?!²)/, '1x');
// Extract a (coefficient of x²)
const aMatch = equation.match(/([-+]?\d*\.?\d*)x²/);
if (aMatch && aMatch[1]) {
a = aMatch[1] === '-' ? -1 : (aMatch[1] === '' ? 1 : parseFloat(aMatch[1]));
}
// Extract b (coefficient of x)
const bMatch = equation.match(/(?<!x)([-+]?\d*\.?\d*)x(?!²)/);
if (bMatch && bMatch[1]) {
b = bMatch[1] === '-' ? -1 : (bMatch[1] === '+' || bMatch[1] === '' ? 1 : parseFloat(bMatch[1]));
}
// Extract c (constant term)
let cTerms = equation.match(/(?<!x)([-+]?\d+\.?\d*)(?!x)/g);
if (cTerms) {
c = cTerms.reduce((sum, term) => sum + parseFloat(term), 0);
}
// Validate coefficients
if (isNaN(a) || isNaN(b) || isNaN(c)) {
throw new Error('Invalid coefficients found in the equation');
}
if (a === 0) {
throw new Error('This is not a quadratic equation (coefficient of x² is 0)');
}
// Calculate discriminant
const discriminant = b * b - 4 * a * c;
if (discriminant < 0) {
throw new Error('This equation has no real solutions (discriminant < 0)');
}
// Calculate solutions
const x1 = (-b + Math.sqrt(discriminant)) / (2 * a);
const x2 = (-b - Math.sqrt(discriminant)) / (2 * a);
return {
steps: [
`Original equation: ${problem}`,
`Standard form: ${a}x² ${b >= 0 ? '+' : ''}${b}x ${c >= 0 ? '+' : ''}${c} = 0`,
`Using quadratic formula: x = (-b ± √(b² - 4ac)) / 2a`,
`a = ${a}, b = ${b}, c = ${c}`,
`Discriminant = b² - 4ac = (${b})² - 4(${a})(${c}) = ${discriminant}`,
`x₁ = (-${b} + √${discriminant}) / (2 × ${a}) = ${x1.toFixed(4)}`,
`x₂ = (-${b} - √${discriminant}) / (2 × ${a}) = ${x2.toFixed(4)}`
],
result: `x = ${x1.toFixed(4)} or x = ${x2.toFixed(4)}`,
type: 'quadratic'
};
}
solveBasic(problem) {
const result = this.safeEval(problem);
return {
steps: [
`Expression: ${problem}`,
`Result: ${result}`
],
result: result,
type: 'basic'
};
}
safeEval(expr) {
// Basic safety checks
if (expr.includes('function') || expr.includes(';')) {
throw new Error('Invalid expression');
}
try {
return Function('"use strict";return (' + expr + ')')();
} catch (e) {
throw new Error('Invalid expression');
}
}
getCoefficient(expr) {
const match = expr.match(/-?\d*x/);
if (!match) return 1;
const coeff = match[0].replace('x', '');
return coeff === '-' ? -1 : coeff === '' ? 1 : Number(coeff);
}
getConstant(expr) {
return Number(expr);
}
}
function createInterface() {
const container = document.createElement('div');
container.className = 'mathgpt-container';
container.innerHTML = `
<div class="mathgpt-header">
<div class="mathgpt-title">MathGPT Solver</div>
</div>
<textarea class="mathgpt-input" placeholder="Enter your math problem here...
Examples:
- 2 + 2
- 3x = 9
- x² + 5x + 6 = 0
- 2x² - 7x + 3 = 0"></textarea>
<button class="mathgpt-button" id="solve-button">Solve</button>
<div class="mathgpt-solution" id="solution-area"></div>
`;
document.body.appendChild(container);
const solver = new MathSolver();
const button = container.querySelector('#solve-button');
const input = container.querySelector('.mathgpt-input');
const solutionArea = container.querySelector('#solution-area');
button.addEventListener('click', () => {
const problem = input.value;
if (!problem) return;
try {
const solution = solver.solve(problem);
solutionArea.style.display = 'block';
solutionArea.innerHTML = `
<h3>Solution:</h3>
${solution.steps.map(step => `
<div class="mathgpt-step">${step}</div>
`).join('')}
<div class="mathgpt-step">
<strong>Final Answer:</strong> ${solution.result}
</div>
`;
} catch (error) {
solutionArea.style.display = 'block';
solutionArea.innerHTML = `
<div class="mathgpt-error">
${error.message}
</div>
`;
}
});
// Allow Enter key to trigger solve
input.addEventListener('keypress', (e) => {
if (e.key === 'Enter' && !e.shiftKey) {
e.preventDefault();
button.click();
}
});
}
// Initialize when page loads
if (window.location.hostname.includes('mathspace.co')) {
createInterface();
}
})();