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Update AdvancedMath.js
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+30
-24
@@ -26,8 +26,18 @@ var constants = {
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// Safe evaluation function that handles advanced math
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function evaluate(expression) {
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try {
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// Replace mathematical constants
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var processed = expression
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// Fixes decimal arithmetic
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var cleanExpr = expression.replace(/\s+/g, '').toLowerCase();
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// Allows numbers (including decimals), basic operators, and explicitly permitted math terms only
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var safeRegex = /^(\d*\.?\d+|[+\-*/()^%,]|sin|cos|tan|asin|acos|atan|atan2|sinh|cosh|tanh|asinh|acosh|atanh|log|ln|exp|pow|sqrt|cbrt|abs|floor|ceil|round|trunc|min|max|random|pi|e|sind|cosd|tand)+$/;
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if (!safeRegex.test(cleanExpr)) {
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throw new Error("Invalid characters or unauthorized functions in expression");
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}
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// Replace mathematical constants (Original Structure)
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var processed = cleanExpr
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.replace(/\bpi\b/gi, Math.PI)
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.replace(/\be\b/gi, Math.E);
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@@ -41,7 +51,7 @@ function evaluate(expression) {
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.replace(/\bacos\s*\(/g, 'Math.acos(')
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.replace(/\batan\s*\(/g, 'Math.atan(')
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.replace(/\batan2\s*\(/g, 'Math.atan2(')
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// Hyperbolic functions
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.replace(/\bsinh\s*\(/g, 'Math.sinh(')
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.replace(/\bcosh\s*\(/g, 'Math.cosh(')
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@@ -49,28 +59,28 @@ function evaluate(expression) {
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.replace(/\basinh\s*\(/g, 'Math.asinh(')
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.replace(/\bacosh\s*\(/g, 'Math.acosh(')
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.replace(/\batanh\s*\(/g, 'Math.atanh(')
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// Logarithmic and exponential functions
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.replace(/\blog\s*\(/g, 'Math.log10(')
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.replace(/\bln\s*\(/g, 'Math.log(')
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.replace(/\bexp\s*\(/g, 'Math.exp(')
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.replace(/\bpow\s*\(/g, 'Math.pow(')
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// Root functions
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.replace(/\bsqrt\s*\(/g, 'Math.sqrt(')
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.replace(/\bcbrt\s*\(/g, 'Math.cbrt(')
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// Rounding and absolute
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.replace(/\babs\s*\(/g, 'Math.abs(')
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.replace(/\bfloor\s*\(/g, 'Math.floor(')
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.replace(/\bceil\s*\(/g, 'Math.ceil(')
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.replace(/\bround\s*\(/g, 'Math.round(')
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.replace(/\btrunc\s*\(/g, 'Math.trunc(')
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// Min/Max
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.replace(/\bmin\s*\(/g, 'Math.min(')
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.replace(/\bmax\s*\(/g, 'Math.max(')
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// Random
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.replace(/\brandom\s*\(\s*\)/g, 'Math.random()');
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@@ -83,14 +93,10 @@ function evaluate(expression) {
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// Handle ^ for exponentiation: convert 2^3 to Math.pow(2,3)
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processed = processed.replace(/([\d.]+|\))\^([\d.]+|\([^)]*\))/g, 'Math.pow($1,$2)');
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// Sanitize expression (only allow safe characters)
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if (!/^[0-9+\-*/().\s\w,]+$/.test(processed)) {
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throw new Error("Invalid characters in expression");
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}
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// Replacing eval() with a scoped function constructor
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// This is safe because the strict whitelist guarantees only math reaches this point
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var result = new Function('return ' + processed)();
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// Evaluate the processed expression
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var result = eval(processed);
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if (!isFinite(result) || isNaN(result)) {
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throw new Error("Invalid result");
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}
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@@ -106,12 +112,12 @@ function formatResult(result) {
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if (Number.isInteger(result)) {
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return result.toString();
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}
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// Handle very large or very small numbers
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if (Math.abs(result) >= 1e15 || (Math.abs(result) < 1e-6 && result !== 0)) {
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return result.toExponential(6);
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}
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// Normal decimal formatting
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return parseFloat(result.toFixed(10)).toString();
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}
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@@ -120,35 +126,35 @@ function formatResult(result) {
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function getAvailableFunctions() {
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return [
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// Basic arithmetic: +, -, *, /, %, ^, ()
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// Trigonometric functions
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"sin(x), cos(x), tan(x) - trigonometric functions (radians)",
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"sind(x), cosd(x), tand(x) - trigonometric functions (degrees)",
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"asin(x), acos(x), atan(x) - inverse trigonometric",
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"atan2(y, x) - two-argument arctangent",
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// Hyperbolic functions
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"sinh(x), cosh(x), tanh(x) - hyperbolic functions",
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"asinh(x), acosh(x), atanh(x) - inverse hyperbolic",
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// Logarithmic and exponential
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"log(x) - base 10 logarithm",
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"ln(x) - natural logarithm",
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"exp(x) - e^x",
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"pow(x, y) - x^y",
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// Root functions
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"sqrt(x) - square root",
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"cbrt(x) - cube root",
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// Rounding and absolute
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"abs(x) - absolute value",
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"floor(x), ceil(x), round(x), trunc(x)",
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// Min/Max/Random
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"min(a, b, ...), max(a, b, ...)",
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"random() - random number 0-1",
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// Constants
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"pi, e - mathematical constants"
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];
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