|
| 1 | +const isOperator = (s) => ["+", "-", "*", "/"].includes(s); |
| 2 | +const parse = (expression) => { |
| 3 | + const tokens = []; |
| 4 | + for (let i = 0; i < expression.length; i++) { |
| 5 | + let token = ""; |
| 6 | + if (isOperator(expression[i]) && isOperator(tokens[tokens.length - 1])) { |
| 7 | + token = expression[i]; |
| 8 | + i++; |
| 9 | + } |
| 10 | + while (/\d/.test(expression[i])) { |
| 11 | + token = token + expression[i]; |
| 12 | + i++; |
| 13 | + } |
| 14 | + if (token) { |
| 15 | + tokens.push(Number(token)); |
| 16 | + i--; |
| 17 | + } else { |
| 18 | + if (expression[i] !== " ") { |
| 19 | + tokens.push(expression[i]); |
| 20 | + } |
| 21 | + } |
| 22 | + } |
| 23 | + return tokens; |
| 24 | +}; |
| 25 | + |
| 26 | +const transform = (tokens) => { |
| 27 | + const operators = []; |
| 28 | + const result = []; |
| 29 | + for (let i = 0; i < tokens.length; i++) { |
| 30 | + const ele = tokens[i]; |
| 31 | + if (typeof ele === "number") { |
| 32 | + result.push(ele); |
| 33 | + } else { |
| 34 | + if (ele === "*" || ele === "/" || ele === "(") { |
| 35 | + operators.push(ele); |
| 36 | + } else if (operators[operators.length - 1] === "(") { |
| 37 | + operators.push(ele); |
| 38 | + } else if (ele === ")") { |
| 39 | + while (operators[operators.length - 1] !== "(") { |
| 40 | + result.push(operators.pop()); |
| 41 | + } |
| 42 | + operators.pop(); |
| 43 | + } else { |
| 44 | + while (operators.length > 0) { |
| 45 | + result.push(operators.pop()); |
| 46 | + } |
| 47 | + operators.push(ele); |
| 48 | + } |
| 49 | + } |
| 50 | + } |
| 51 | + while (operators.length > 0) { |
| 52 | + result.push(operators.pop()); |
| 53 | + } |
| 54 | + return result; |
| 55 | +}; |
| 56 | + |
| 57 | +const calc = (tokens) => { |
| 58 | + let stack = []; |
| 59 | + for (let i = 0; i < tokens.length; i++) { |
| 60 | + const ele = tokens[i]; |
| 61 | + if (typeof ele === "number") { |
| 62 | + stack.push(ele); |
| 63 | + } else { |
| 64 | + const right = stack.pop(); |
| 65 | + const left = stack.pop(); |
| 66 | + switch (ele) { |
| 67 | + case "+": |
| 68 | + stack.push(left + right); |
| 69 | + break; |
| 70 | + case "-": |
| 71 | + stack.push(left - right); |
| 72 | + break; |
| 73 | + case "*": |
| 74 | + stack.push(left * right); |
| 75 | + break; |
| 76 | + case "/": |
| 77 | + stack.push(left / right); |
| 78 | + break; |
| 79 | + } |
| 80 | + } |
| 81 | + } |
| 82 | + return stack[0]; |
| 83 | +}; |
| 84 | +const rpn = (expression) => { |
| 85 | + const tokens = parse(expression); |
| 86 | + const result = transform(tokens); |
| 87 | + const value = calc(result); |
| 88 | + console.log(value); |
| 89 | + return value; |
| 90 | +}; |
| 91 | + |
| 92 | +rpn("12 + (7 - 3) * 2 + 9 / 3"); |
| 93 | + |
| 94 | +rpn("((10 * (6 * ((9 + 3) * 11))) + 17) + 50"); |
| 95 | + |
| 96 | +rpn("2 + 30 * (20 - 10) / (100 / 5)"); |
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