v1.0

.gitignore

@@ -0,0 +1,16 @@
+# 模块依赖文件
+node_modules/
+amd_modules/
+
+# 系统缓存和日志文件
+issue.info
+.DS_Store
+*.swp
+*.log
+core.*
+
+# 编辑器配置
+.idea/
+.vscode
+.env
+talos/dev.config.js

package-lock.json

@@ -0,0 +1,6763 @@
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+  "requires": true,
+  "packages": {
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+      "license": "ISC",
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+      "dev": true,
+      "license": "Apache-2.0",
+      "dependencies": {
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+        "@jridgewell/trace-mapping": "^0.3.9"
+      },
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+      "resolved": "http://registry.npm.baidu-int.com/ansi-styles/-/ansi-styles-3.2.1.tgz",
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+      "resolved": "http://registry.npm.baidu-int.com/update-browserslist-db/-/update-browserslist-db-1.0.13.tgz",
+      "integrity": "sha512-xebP81SNcPuNpPP3uzeW1NYXxI3rxyJzF3pD6sH4jE7o/IX+WtSpwnVU+qIsDPyk0d3hmFQ7mjqc6AtV604hbg==",
+      "dev": true,
+      "requires": {
+        "escalade": "^3.1.1",
+        "picocolors": "^1.0.0"
+      }
+    },
+    "v8-to-istanbul": {
+      "version": "9.1.3",
+      "resolved": "http://registry.npm.baidu-int.com/v8-to-istanbul/-/v8-to-istanbul-9.1.3.tgz",
+      "integrity": "sha512-9lDD+EVI2fjFsMWXc6dy5JJzBsVTcQ2fVkfBvncZ6xJWG9wtBhOldG+mHkSL0+V1K/xgZz0JDO5UT5hFwHUghg==",
+      "dev": true,
+      "requires": {
+        "@jridgewell/trace-mapping": "^0.3.12",
+        "@types/istanbul-lib-coverage": "^2.0.1",
+        "convert-source-map": "^2.0.0"
+      }
+    },
+    "walker": {
+      "version": "1.0.8",
+      "resolved": "http://registry.npm.baidu-int.com/walker/-/walker-1.0.8.tgz",
+      "integrity": "sha1-vUmNtHev5XPcBBhfAR06uKjXZT8=",
+      "dev": true,
+      "requires": {
+        "makeerror": "1.0.12"
+      }
+    },
+    "which": {
+      "version": "2.0.2",
+      "resolved": "http://registry.npm.baidu-int.com/which/-/which-2.0.2.tgz",
+      "integrity": "sha1-fGqN0KY2oDJ+ELWckobu6T8/UbE=",
+      "dev": true,
+      "requires": {
+        "isexe": "^2.0.0"
+      }
+    },
+    "wrap-ansi": {
+      "version": "7.0.0",
+      "resolved": "http://registry.npm.baidu-int.com/wrap-ansi/-/wrap-ansi-7.0.0.tgz",
+      "integrity": "sha1-Z+FFz/UQpqaYS98RUpEdadLrnkM=",
+      "dev": true,
+      "requires": {
+        "ansi-styles": "^4.0.0",
+        "string-width": "^4.1.0",
+        "strip-ansi": "^6.0.0"
+      }
+    },
+    "wrappy": {
+      "version": "1.0.2",
+      "resolved": "http://registry.npm.baidu-int.com/wrappy/-/wrappy-1.0.2.tgz",
+      "integrity": "sha1-tSQ9jz7BqjXxNkYFvA0QNuMKtp8=",
+      "dev": true
+    },
+    "write-file-atomic": {
+      "version": "4.0.2",
+      "resolved": "http://registry.npm.baidu-int.com/write-file-atomic/-/write-file-atomic-4.0.2.tgz",
+      "integrity": "sha512-7KxauUdBmSdWnmpaGFg+ppNjKF8uNLry8LyzjauQDOVONfFLNKrKvQOxZ/VuTIcS/gge/YNahf5RIIQWTSarlg==",
+      "dev": true,
+      "requires": {
+        "imurmurhash": "^0.1.4",
+        "signal-exit": "^3.0.7"
+      }
+    },
+    "y18n": {
+      "version": "5.0.8",
+      "resolved": "http://registry.npm.baidu-int.com/y18n/-/y18n-5.0.8.tgz",
+      "integrity": "sha1-f0k00PfKjFb5UxSTndzS3ZHOHVU=",
+      "dev": true
+    },
+    "yallist": {
+      "version": "3.1.1",
+      "resolved": "http://registry.npm.baidu-int.com/yallist/-/yallist-3.1.1.tgz",
+      "integrity": "sha1-27fa+b/YusmrRev2ArjLrQ1dCP0=",
+      "dev": true
+    },
+    "yargs": {
+      "version": "17.7.2",
+      "resolved": "http://registry.npm.baidu-int.com/yargs/-/yargs-17.7.2.tgz",
+      "integrity": "sha512-7dSzzRQ++CKnNI/krKnYRV7JKKPUXMEh61soaHKg9mrWEhzFWhFnxPxGl+69cD1Ou63C13NUPCnmIcrvqCuM6w==",
+      "dev": true,
+      "requires": {
+        "cliui": "^8.0.1",
+        "escalade": "^3.1.1",
+        "get-caller-file": "^2.0.5",
+        "require-directory": "^2.1.1",
+        "string-width": "^4.2.3",
+        "y18n": "^5.0.5",
+        "yargs-parser": "^21.1.1"
+      }
+    },
+    "yargs-parser": {
+      "version": "21.1.1",
+      "resolved": "http://registry.npm.baidu-int.com/yargs-parser/-/yargs-parser-21.1.1.tgz",
+      "integrity": "sha512-tVpsJW7DdjecAiFpbIB1e3qxIQsE6NoPc5/eTdrbbIC4h0LVsWhnoa3g+m2HclBIujHzsxZ4VJVA+GUuc2/LBw==",
+      "dev": true
+    },
+    "yocto-queue": {
+      "version": "0.1.0",
+      "resolved": "http://registry.npm.baidu-int.com/yocto-queue/-/yocto-queue-0.1.0.tgz",
+      "integrity": "sha1-ApTrPe4FAo0x7hpfosVWpqrxChs=",
+      "dev": true
+    }
+  }
+}

package.json

@@ -0,0 +1,19 @@
+{
+  "name": "calc",
+  "version": "1.0.0",
+  "description": "",
+  "main": "app.js",
+  "scripts": {
+    "make": "cd src && jison jison/calculator.jison",
+    "start": "cd src && node app.js",
+    "test": "jest"
+  },
+  "author": "",
+  "license": "ISC",
+  "dependencies": {
+    "jison": "^0.4.18"
+  },
+  "devDependencies": {
+    "jest": "^29.7.0"
+  }
+}

src/app.js

@@ -0,0 +1,49 @@
+const calculator = require('./calculator.js');
+const tests = require('./test_cases.js');
+const {handlePrecision} = require('./utils.js');
+
+const parser = new calculator.Parser();
+
+function calc(exp, isDeg = false) {
+    parser.parse(`isDeg(${isDeg * 1})`);
+
+    const stack = [];
+    let res = [];
+    for (let i = 0; i < exp.length; i++) {
+        const val = exp[i];
+        if (val !== ')') {
+            stack.push(val);
+        } else {
+            let v = stack.pop();
+            while (v !== '(') {
+                res.unshift(v);
+                v = stack.pop();
+            }
+            stack.push(' ');
+            const resNum = res.join('');
+            if (res.length === 1 || !isNaN(resNum)) {
+                stack.push(resNum);
+            } else {
+                // console.log(resNum, +parser.parse(resNum));
+                stack.push(parser.parse(resNum));
+            }
+            res = [];
+        }
+    }
+
+    return handlePrecision(parser.parse(stack.join('')));
+}
+
+const prints = [];
+tests.forEach(v => {
+    const ans = +calc(v.value, v.isDeg);
+    const print = {
+        isDeg: v.isDeg ? 1 : 0,
+        exp: v.value,
+        result: ans,
+        expect: v.result,
+        correct: ans === v.result,
+    };
+    prints.push(print);
+});
+console.table(prints);

src/app.test.js

@@ -0,0 +1,41 @@
+const calculator = require('./calculator.js');
+const tests = require('./test_cases.js');
+const {handlePrecision} = require('./utils.js');
+
+const parser = new calculator.Parser();
+
+function calc(exp, isDeg = false) {
+    parser.parse(`isDeg(${isDeg * 1})`);
+
+    const stack = [];
+    let res = [];
+    for (let i = 0; i < exp.length; i++) {
+        const val = exp[i];
+        if (val !== ')') {
+            stack.push(val);
+        } else {
+            let v = stack.pop();
+            while (v !== '(') {
+                res.unshift(v);
+                v = stack.pop();
+            }
+            stack.push(' ');
+            const resNum = res.join('');
+            if (res.length === 1 || !isNaN(resNum)) {
+                stack.push(resNum);
+            } else {
+                // console.log(resNum, +parser.parse(resNum));
+                stack.push(parser.parse(resNum));
+            }
+            res = [];
+        }
+    }
+
+    return handlePrecision(parser.parse(stack.join('')));
+}
+
+tests.forEach(v => {
+    test(`${v.value} = ${v.result} isDeg=${v.isDeg}`, () => {
+        expect(calc(v.value, v.isDeg)).toBe(v.result + '');
+    });
+});

src/jison/calculator.jison

@@ -0,0 +1,237 @@
+
+/* description: Parses and executes mathematical expressions. */
+%{
+
+let isDeg = false;
+
+var setIsDeg = function (e) {
+    isDeg = e;
+    return e;
+}
+
+var fac = function (v) {
+    var str = String(v);
+    var reg = /^[0-9]\d*$/;
+    if (v === Infinity) {
+        return Infinity;
+    }
+    if (!reg.test(str)) {
+        throw new Error('阶乘只支持正整数或0');
+    } else {
+        if (v === 1 || v === 0) {
+            return 1;
+        } else if (v > 170) {
+            return Infinity;
+        } else {
+            return v * fac(v - 1);
+        }
+    }
+}
+
+
+var tan = function (v) {
+    var res;
+
+    if (isDeg && v % 90 === 0 && v !== 0) {
+        throw new Error();
+    }
+
+    if (isDeg) {
+        res = Math.tan(v / 180 * Math.PI);
+    } else {
+        res = Math.tan(v);
+    }
+    res = parseFloat(res.toFixed(15));
+
+    if (!isDeg && res > 1.63e16) {
+        throw new Error();
+    }
+
+    return res;
+};
+
+
+var cos = function (v) {
+    var res;
+
+    if (isDeg) {
+        res = Math.cos(v / 180 * Math.PI);
+    } else {
+        res = Math.cos(v);
+    }
+    res = parseFloat(res.toFixed(15));
+
+    return res;
+};
+
+
+var sin = function (v) {
+    var res;
+
+    if (isDeg) {
+        res = Math.sin(v / 180 * Math.PI);
+    } else {
+        res = Math.sin(v);
+    }
+    res = parseFloat(res.toFixed(15));
+
+    return res;
+};
+
+
+var atan = function (v) {
+    var res;
+    if (isDeg) {
+        res = Math.atan(v) / Math.PI * 180;
+    } else {
+        res = Math.atan(v);
+    }
+    res = parseFloat(res.toFixed(13));
+    return res;
+};
+
+
+var acos = function (v) {
+    var res;
+    if (isDeg) {
+        res = Math.acos(v) / Math.PI * 180;
+    } else {
+        res = Math.acos(v);
+    }
+    res = parseFloat(res.toFixed(13));
+    return res;
+};
+
+
+var asin = function (v) {
+    var res;
+    if (isDeg) {
+        res = Math.asin(v) / Math.PI * 180;
+    } else {
+        res = Math.asin(v);
+    }
+    res = parseFloat(res.toFixed(13));
+    return res;
+};
+
+
+var dComp = function (v) {
+    if (v === 0) {
+        throw new Error('divided by 0');
+    }
+    return v;
+}
+%}
+
+/* lexical grammar */
+%lex
+%%
+
+\s+                   /* skip whitespace */
+[0-9]+("."[0-9]+)?("e""-"?[0-9]+)?\b  return 'NUMBER';
+"*"                   return '*';
+"×"                   return '*';
+"/"                   return '/';
+"÷"                   return '/';
+"-"                   return '-';
+"+"                   return '+';
+"^"                   return '^';
+"√"                   return 'SQRT';
+"sin"                 return 'sin';
+"tan"                 return 'tan';
+"cos"                 return 'cos';
+"atan"                return 'atan';
+"acos"                return 'acos';
+"asin"                return 'asin';
+"ln"                  return 'ln';
+"log"                 return 'log';
+"!"                   return '!';
+"isDeg"               return 'isDeg';
+"%"                   return '%';
+"("                   return '(';
+")"                   return ')';
+"π"                   return 'PI';
+"E"                   return 'EXP';
+"e"                   return 'E';
+<<EOF>>               return 'EOF';
+.                     return 'INVALID';
+
+/lex
+
+/* operator associations and precedence */
+
+%left '+' '-'
+%left 'sin' 'cos' 'tan' 'asin' 'acos' 'atan' 'ln' 'log'
+%left 'SQRT' '*' '/'
+%right '%'
+%left '^'
+%right '!'
+%left UMINUS
+%token INVALID
+
+%start expressions
+
+%% /* language grammar */
+
+expressions
+    : e EOF
+        { return $1; }
+    ;
+
+e
+    : '-' e     %prec UMINUS
+        {$$ = -$2;}
+    | NUMBER
+        {$$ = Number(yytext);}
+    | 'E'
+        {$$ = Math.E;}
+    | 'PI'
+        {$$ = Math.PI;}
+    | e '%'
+        {$$ = $1 / 100;}
+    | e '^' e
+        {$$ = Math.pow($1, $3);}
+    | e '*' e
+        {$$ = $1 * $3;}
+    | e '/' e
+        {$$ = $1 / $3;}
+    | e '+' e
+        {$$ = $1 + $3;}
+    | e '-' e
+        {$$ = $1 - $3;}
+    | e '!'
+        {{
+          $$ = (
+            function fact(n) {
+                if (!Number.isSafeInteger(n)) {
+                    return n;
+                }
+                return n == 0 ? 1 : fact(n - 1) * n;
+            })($1);
+        }}
+    | 'ln' e
+        {$$ = Math.log($2);}
+    | 'log' e
+        {$$ = Math.log10($2);}
+    | 'SQRT' e
+        {$$ = Math.sqrt($2);}
+    | 'isDeg' e
+        {$$ = setIsDeg($2);}
+    | e 'EXP' e
+        {$$ = $1 * Math.pow(10, $3);}
+    | 'sin' e
+        {$$ = sin($2);}
+    | 'cos' e
+        {$$ = cos($2);}
+    | 'tan' e
+        {$$ = tan($2);}
+    | 'asin' e
+        {$$ = asin($2);}
+    | 'acos' e
+        {$$ = acos($2);}
+    | 'atan' e
+        {$$ = atan($2);}
+    | '(' e ')'
+        {$$ = $2;}
+    ;
+

src/test_cases.js

@@ -0,0 +1,91 @@
+module.exports = [
+    {
+        value: '100 + 200',
+        result: 300,
+    },
+    {
+        value: 'π - 3',
+        result: 0.14159265359,
+    },
+    {
+        value: '1 + 2 × 3',
+        result: 7,
+    },
+    {
+        value: '1 + 2 × (3 - 4) ÷ 5',
+        result: 0.6,
+    },
+    {
+        value: '1 ÷ 100 %',
+        result: 1,
+    },
+    {
+        value: '0.1 * 100 %',
+        result: 0.1,
+    },
+    {
+        value: '3 ^ 4',
+        result: 81,
+    },
+    {
+        value: '√(2)',
+        result: 1.41421356237,
+    },
+    {
+        value: 'ln(e)',
+        result: 1,
+    },
+    {
+        value: 'log(1 E 5)',
+        result: 5,
+    },
+    {
+        value: 'sin(π / 2)',
+        result: 1,
+    },
+    {
+        value: 'cos(π / 2)',
+        result: 0,
+    },
+    {
+        value: 'tan(π / 4)',
+        result: 1,
+    },
+    {
+        value: 'asin(1 / 2)',
+        result: 30,
+        isDeg: true
+    },
+    {
+        value: 'acos(1 / 2)',
+        result: 60,
+        isDeg: true
+    },
+    {
+        value: 'atan(√(3))',
+        result: 60,
+        isDeg: true
+    },
+    {
+        value: 'asin(1 / 2)',
+        result: 0.5235987756,
+    },
+    {
+        value: 'acos(1 / 2)',
+        result: 1.0471975512,
+    },
+    {
+        value: 'atan(√(3) / 3)',
+        result: 0.5235987756,
+    },
+    {
+        value: '((((100 ÷ 50%)% × 2 × sin(90))% × e)% ^ 2) ÷ 99.5',
+        result: 1.18818993e-8,
+        isDeg: true
+    },
+    {
+        value: 'sin(30 + cos(30 * tan(60)))',
+        result: 0.50928462191,
+        isDeg: true
+    }
+];

src/utils.js

@@ -0,0 +1,72 @@
+const removeTrail = value => String(parseFloat(value));
+
+module.exports.handlePrecision = value => {
+    if (typeof value !== 'number') {
+        value = +value;
+    }
+
+    // 12位精度
+    const VALID_NUMBER = 12;
+
+    const E_PRECISION = 8;
+    const HANDLE_E_INDEX = E_PRECISION + 3;
+
+    // 非科学计数法的模版
+    let temp = String(value);
+    let symbol = '';
+
+    if (temp.startsWith('-')) {
+        temp = temp.slice(1);
+        symbol = '-';
+    }
+    const dotIndex = temp.indexOf('.');
+    const eIndex = temp.indexOf('e');
+
+    // 科学计数法的模版
+    let eTemp = '';
+
+    // 处理科学技术法
+    if (eIndex > -1) {
+        if (eIndex >= HANDLE_E_INDEX) {
+            eTemp = value.toExponential(E_PRECISION);
+        }
+
+        // 处理非科学技术法
+    } else {
+        // 带小数
+        if (dotIndex > -1) {
+            // 匹配到e-7的情况
+            const eReg = /0\.00000/;
+            const match = eReg.exec(temp);
+
+            // >e+12的情况
+            if (dotIndex >= VALID_NUMBER) {
+                eTemp = value.toExponential(E_PRECISION);
+
+                // <e-7的情况
+            } else if (match) {
+                const fixed = Math.min(E_PRECISION, temp.length - match.index);
+                eTemp = value.toExponential(fixed);
+
+                // 保留有效位数
+            } else if (temp.length > VALID_NUMBER) {
+                const fixed = VALID_NUMBER - dotIndex; // 不包含.
+                const newValue = Number(temp).toFixed(fixed);
+                temp = removeTrail(newValue);
+            }
+
+            // 整数
+        } else {
+            if (temp.length >= VALID_NUMBER) {
+                eTemp = value.toExponential(E_PRECISION);
+            }
+        }
+    }
+
+    // 对科学计数法前置数去尾0
+    if (eTemp) {
+        const eValueIndex = eTemp.indexOf('e');
+        return removeTrail(eTemp.slice(0, eValueIndex)) + eTemp.slice(eValueIndex);
+    }
+    return symbol + temp;
+};