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constructor() {
this.history = [];
this.memory = 0;
this.precision = 10;
this.constants = {
PI: 3.141592653589793,
E: 2.718281828459045,
GOLDEN_RATIO: 1.618033988749895
};
}
add(a, b) {
const result = parseFloat((a + b).toFixed(this.precision));
this.history.push(`${a} + ${b} = ${result}`);
return result;
}
subtract(a, b) {
const result = parseFloat((a - b).toFixed(this.precision));
this.history.push(`${a} - ${b} = ${result}`);
return result;
}
multiply(a, b) {
const result = parseFloat((a * b).toFixed(this.precision));
this.history.push(`${a} * ${b} = ${result}`);
return result;
}
divide(a, b) {
if (b === 0) {
throw new Error('Division by zero is not allowed');
}
const result = parseFloat((a / b).toFixed(this.precision));
this.history.push(`${a} / ${b} = ${result}`);
return result;
}
power(base, exponent) {
const result = parseFloat(Math.pow(base, exponent).toFixed(this.precision));
this.history.push(`${base} ^ ${exponent} = ${result}`);
return result;
}
sqrt(number) {
if (number < 0) {
throw new Error('Cannot calculate square root of negative number');
}
const result = parseFloat(Math.sqrt(number).toFixed(this.precision));
this.history.push(`${number} = ${result}`);
return result;
}
factorial(n) {
if (n < 0 || !Number.isInteger(n)) {
throw new Error('Factorial is only defined for non-negative integers');
}
let result = 1;
for (let i = 2; i <= n; i++) {
result *= i;
}
this.history.push(`${n}! = ${result}`);
return result;
}
fibonacci(n) {
if (n < 0 || !Number.isInteger(n)) {
throw new Error('Fibonacci is only defined for non-negative integers');
}
if (n <= 1) return n;
let a = 0, b = 1;
for (let i = 2; i <= n; i++) {
[a, b] = [b, a + b];
}
this.history.push(`fib(${n}) = ${b}`);
return b;
}
sine(angle, degrees = true) {
const radians = degrees ? angle * (Math.PI / 180) : angle;
const result = parseFloat(Math.sin(radians).toFixed(this.precision));
this.history.push(`sin(${angle}${degrees ? '°' : ' rad'}) = ${result}`);
return result;
}
cosine(angle, degrees = true) {
const radians = degrees ? angle * (Math.PI / 180) : angle;
const result = parseFloat(Math.cos(radians).toFixed(this.precision));
this.history.push(`cos(${angle}${degrees ? '°' : ' rad'}) = ${result}`);
return result;
}
tangent(angle, degrees = true) {
const radians = degrees ? angle * (Math.PI / 180) : angle;
const result = parseFloat(Math.tan(radians).toFixed(this.precision));
this.history.push(`tan(${angle}${degrees ? '°' : ' rad'}) = ${result}`);
return result;
}
logarithm(number, base = Math.E) {
if (number <= 0) {
throw new Error('Logarithm is only defined for positive numbers');
}
const result = parseFloat((Math.log(number) / Math.log(base)).toFixed(this.precision));
this.history.push(`log${base === Math.E ? '' : '_' + base}(${number}) = ${result}`);
return result;
}
gcd(a, b) {
a = Math.abs(a);
b = Math.abs(b);
while (b !== 0) {
[a, b] = [b, a % b];
}
this.history.push(`gcd(${arguments[0]}, ${arguments[1]}) = ${a}`);
return a;
}
lcm(a, b) {
const result = Math.abs(a * b) / this.gcd(a, b);
this.history.push(`lcm(${a}, ${b}) = ${result}`);
return result;
}
isPrime(n) {
if (n < 2 || !Number.isInteger(n)) return false;
if (n === 2) return true;
if (n % 2 === 0) return false;
for (let i = 3; i <= Math.sqrt(n); i += 2) {
if (n % i === 0) return false;
}
this.history.push(`isPrime(${n}) = true`);
return true;
}
generatePrimes(limit) {
const primes = [];
const sieve = new Array(limit + 1).fill(true);
sieve[0] = sieve[1] = false;
for (let i = 2; i <= Math.sqrt(limit); i++) {
if (sieve[i]) {
for (let j = i * i; j <= limit; j += i) {
sieve[j] = false;
}
}
}
for (let i = 2; i <= limit; i++) {
if (sieve[i]) primes.push(i);
}
this.history.push(`Generated ${primes.length} primes up to ${limit}`);
return primes;
}
quadraticSolver(a, b, c) {
if (a === 0) {
throw new Error('Coefficient a cannot be zero in quadratic equation');
}
const discriminant = b * b - 4 * a * c;
if (discriminant < 0) {
const realPart = parseFloat((-b / (2 * a)).toFixed(this.precision));
const imaginaryPart = parseFloat((Math.sqrt(-discriminant) / (2 * a)).toFixed(this.precision));
const result = {
x1: `${realPart} + ${imaginaryPart}i`,
x2: `${realPart} - ${imaginaryPart}i`
};
this.history.push(`Quadratic ${a}x² + ${b}x + ${c} = 0 has complex roots`);
return result;
} else if (discriminant === 0) {
const x = parseFloat((-b / (2 * a)).toFixed(this.precision));
this.history.push(`Quadratic ${a}x² + ${b}x + ${c} = 0 has double root x = ${x}`);
return { x1: x, x2: x };
} else {
const x1 = parseFloat(((-b + Math.sqrt(discriminant)) / (2 * a)).toFixed(this.precision));
const x2 = parseFloat(((-b - Math.sqrt(discriminant)) / (2 * a)).toFixed(this.precision));
this.history.push(`Quadratic ${a}x² + ${b}x + ${c} = 0 has roots x1 = ${x1}, x2 = ${x2}`);
return { x1, x2 };
}
}
memoryStore(value) {
this.memory = value;
this.history.push(`Memory stored: ${value}`);
}
memoryRecall() {
this.history.push(`Memory recalled: ${this.memory}`);
return this.memory;
}
memoryClear() {
this.memory = 0;
this.history.push('Memory cleared');
}
memoryAdd(value) {
this.memory += value;
this.history.push(`Memory added: ${value}, new total: ${this.memory}`);
}
statistics(numbers) {
if (!Array.isArray(numbers) || numbers.length === 0) {
throw new Error('Input must be a non-empty array of numbers');
}
const n = numbers.length;
const sum = numbers.reduce((acc, num) => acc + num, 0);
const mean = sum / n;
const sortedNumbers = [...numbers].sort((a, b) => a - b);
const median = n % 2 === 0
? (sortedNumbers[n / 2 - 1] + sortedNumbers[n / 2]) / 2
: sortedNumbers[Math.floor(n / 2)];
const variance = numbers.reduce((acc, num) => acc + Math.pow(num - mean, 2), 0) / n;
const standardDeviation = Math.sqrt(variance);
const mode = this.calculateMode(numbers);
const stats = {
count: n,
sum: parseFloat(sum.toFixed(this.precision)),
mean: parseFloat(mean.toFixed(this.precision)),
median: parseFloat(median.toFixed(this.precision)),
mode: mode,
variance: parseFloat(variance.toFixed(this.precision)),
standardDeviation: parseFloat(standardDeviation.toFixed(this.precision)),
min: Math.min(...numbers),
max: Math.max(...numbers)
};
this.history.push(`Statistics calculated for ${n} numbers`);
return stats;
}
calculateMode(numbers) {
const frequency = {};
let maxFreq = 0;
numbers.forEach(num => {
frequency[num] = (frequency[num] || 0) + 1;
maxFreq = Math.max(maxFreq, frequency[num]);
});
const modes = Object.keys(frequency)
.filter(key => frequency[key] === maxFreq)
.map(Number);
return modes.length === numbers.length ? null : modes;
}
matrixMultiply(matrixA, matrixB) {
if (!Array.isArray(matrixA) || !Array.isArray(matrixB)) {
throw new Error('Both inputs must be arrays (matrices)');
}
const rowsA = matrixA.length;
const colsA = matrixA[0].length;
const rowsB = matrixB.length;
const colsB = matrixB[0].length;
if (colsA !== rowsB) {
throw new Error('Matrix dimensions are incompatible for multiplication');
}
const result = Array(rowsA).fill().map(() => Array(colsB).fill(0));
for (let i = 0; i < rowsA; i++) {
for (let j = 0; j < colsB; j++) {
for (let k = 0; k < colsA; k++) {
result[i][j] += matrixA[i][k] * matrixB[k][j];
}
result[i][j] = parseFloat(result[i][j].toFixed(this.precision));
}
}
this.history.push(`Matrix multiplication: ${rowsA}x${colsA} * ${rowsB}x${colsB}`);
return result;
}
convertBase(number, fromBase, toBase) {
if (fromBase < 2 || fromBase > 36 || toBase < 2 || toBase > 36) {
throw new Error('Base must be between 2 and 36');
}
const decimal = parseInt(number.toString(), fromBase);
const result = decimal.toString(toBase).toUpperCase();
this.history.push(`Base conversion: ${number} (base ${fromBase}) = ${result} (base ${toBase})`);
return result;
}
clearHistory() {
this.history = [];
}
getHistory() {
return [...this.history];
}
setPrecision(precision) {
if (precision < 0 || precision > 20) {
throw new Error('Precision must be between 0 and 20');
}
this.precision = precision;
this.history.push(`Precision set to ${precision} decimal places`);
}
}
function runCalculatorDemo() {
const calc = new AdvancedCalculator();
console.log('Advanced Calculator Demo');
console.log('========================');
try {
console.log('Basic operations:');
console.log('5 + 3 =', calc.add(5, 3));
console.log('10 - 4 =', calc.subtract(10, 4));
console.log('6 * 7 =', calc.multiply(6, 7));
console.log('15 / 3 =', calc.divide(15, 3));
console.log('\nAdvanced operations:');
console.log('2^8 =', calc.power(2, 8));
console.log('16 =', calc.sqrt(16));
console.log('5! =', calc.factorial(5));
console.log('fib(10) =', calc.fibonacci(10));
console.log('\nTrigonometric functions:');
console.log('sin(30°) =', calc.sine(30));
console.log('cos(60°) =', calc.cosine(60));
console.log('tan(45°) =', calc.tangent(45));
console.log('\nNumber theory:');
console.log('gcd(48, 18) =', calc.gcd(48, 18));
console.log('lcm(12, 15) =', calc.lcm(12, 15));
console.log('isPrime(17) =', calc.isPrime(17));
console.log('\nQuadratic equation solver:');
console.log('x² - 5x + 6 = 0:', calc.quadraticSolver(1, -5, 6));
console.log('\nStatistics:');
const data = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10];
console.log('Data:', data);
console.log('Stats:', calc.statistics(data));
console.log('\nMatrix multiplication:');
const matrixA = [[1, 2], [3, 4]];
const matrixB = [[5, 6], [7, 8]];
console.log('Matrix A:', matrixA);
console.log('Matrix B:', matrixB);
console.log('A * B =', calc.matrixMultiply(matrixA, matrixB));
console.log('\nBase conversion:');
console.log('255 (decimal) to binary:', calc.convertBase(255, 10, 2));
console.log('FF (hex) to decimal:', calc.convertBase('FF', 16, 10));
console.log('\nCalculation history:');
calc.getHistory().forEach((entry, index) => {
console.log(`${index + 1}. ${entry}`);
});
} catch (error) {
console.error('Error:', error.message);
}
}
if (typeof module !== 'undefined' && module.exports) {
module.exports = AdvancedCalculator;
} else {
runCalculatorDemo();
} |