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/*
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2
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arb.js
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3
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0.1.8
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4
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whats new:
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5
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* refactoring
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6
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*/
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7
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(function (scope) {
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8
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//limits for faster solving
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9
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var limits = {
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10
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decimalDigits: 200,
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11
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integerDigits: 200,
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12
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roundDecimals: 15
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};
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14
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15
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//splice function for string
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16
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function splice(str, start, delCount, newSubStr) {
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return str.slice(0, start) + newSubStr + str.slice(start + Math.abs(delCount));
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}
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20
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//function signFix
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function signFix(n) {
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var sign = "";
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var l = n.length;
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var i;
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for (i = 0; i < l; i++) {
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if (n[i] === "-") {
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if (sign === "") {
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sign = "-";
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} else {
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sign = "";
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}
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} else {
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break;
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}
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}
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return sign + n.replace(/-/g, "");
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}
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//floor function
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40
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function floor(n) {
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if (n.indexOf(".") === -1) {
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return n;
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}
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return n.split(".")[0];
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}
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47
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//removes decimals
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48
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function removeDecimal(str) {
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return str.replace(/\./g, "");
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}
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//returns the sign of the number<string>
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function getSign(a) {
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if (a[0] !== "-") {
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return "";
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}
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return "-";
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}
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//absolute value of a number<string>
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function abs(num) {
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if (getSign(num) === "-") {
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return num.substr(1, num.length);
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}
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return num;
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}
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67
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68
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//pair only decimal
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69
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//forrmats two numbers and returns an array
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function pairDecimal(a, b, skip) {
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a = a.split(".");
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b = b.split(".");
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a[1] = (a.length - 1) === 1 ? a[1] : "0";
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b[1] = (b.length - 1) === 1 ? b[1] : "0";
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if (!skip) {
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var bla = a[1].length;
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var blb = b[1].length;
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while (bla > blb) {
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b[1] += "0";
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blb += 1;
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}
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while (bla < blb) {
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a[1] += "0";
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bla += 1;
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}
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}
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return [a.join("."), b.join(".")];
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}
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93
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//minimum negative
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94
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View Code Duplication |
function minNeg(_a, _b) {
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95
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var al, bl, i;
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_a = removeLeadingZeroes(_a);
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_b = removeLeadingZeroes(_b);
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al = _a.length;
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bl = _b.length;
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if (al > bl) {
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return "-" + _a;
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}
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if (al < bl) {
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return "-" + _b;
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}
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if (al === bl) {
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for (i = 0; i < al; i++) {
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if (_a[i] * 1 < _b[i] * 1) {
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return "-" + _b;
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} else if (_a[i] * 1 > _b[i] * 1) {
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return "-" + _a;
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}
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}
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}
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return _a;
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}
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118
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//minimum
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function min(_a, _b) {
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var signa, signb;
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var al, bl, i;
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_a = removeLeadingZeroes(_a);
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_b = removeLeadingZeroes(_b);
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signa = getSign(_a);
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signb = getSign(_b);
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if (signa === "-" && signb !== "-") {
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return _a;
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}
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if (signa !== "-" && signb === "-") {
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return _b;
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}
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if (signa === "-" && signb === "-") {
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return minNeg(abs(_a), abs(_b));
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}
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al = _a.length;
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bl = _b.length;
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if (al < bl) {
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return _a;
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}
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if (al > bl) {
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return _b;
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}
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if (al === bl) {
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for (i = 0; i < al; i++) {
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if (_a[i] * 1 > _b[i] * 1) {
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return _b;
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} else if (_a[i] * 1 < _b[i] * 1) {
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return _a;
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}
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}
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}
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return _a;
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}
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154
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155
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//maximum neg
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156
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View Code Duplication |
function maxNeg(_a, _b) {
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157
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var al, bl, i;
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_a = removeLeadingZeroes(_a);
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_b = removeLeadingZeroes(_b);
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al = _a.length;
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bl = _b.length;
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if (al < bl) {
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return "-" + _a;
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}
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if (al > bl) {
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return "-" + _b;
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}
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168
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if (al === bl) {
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for (i = 0; i < al; i++) {
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170
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if (_a[i] * 1 > _b[i] * 1) {
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return "-" + _b;
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172
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} else if (_a[i] * 1 < _b[i] * 1) {
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return "-" + _a;
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}
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}
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}
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return _a;
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}
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180
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//maximum
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function max(_a, _b) {
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182
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var signa, signb;
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183
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var al, bl, i;
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184
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_a = removeLeadingZeroes(_a);
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_b = removeLeadingZeroes(_b);
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signa = getSign(_a);
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signb = getSign(_b);
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if (signa === "-" && signb !== "-") {
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return _b;
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190
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}
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191
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if (signa !== "-" && signb === "-") {
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192
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return _a;
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193
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}
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194
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if (signa === "-" && signb === "-") {
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195
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return maxNeg(abs(_a), abs(_b));
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196
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}
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197
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al = _a.length;
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198
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bl = _b.length;
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199
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if (al > bl) {
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200
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return _a;
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201
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}
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202
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if (al < bl) {
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203
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return _b;
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204
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}
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205
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if (al === bl) {
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206
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for (i = 0; i < al; i++) {
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207
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if (_a[i] * 1 < _b[i] * 1) {
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208
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return _b;
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209
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} else if (_a[i] * 1 > _b[i] * 1) {
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210
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return _a;
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211
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}
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212
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}
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213
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}
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214
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return _a;
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215
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}
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216
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217
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//remove leading zeroes
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218
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function removeLeadingZeroes(str) {
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219
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str += "";
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220
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var mark = 0;
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221
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var strl, i;
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222
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str = str.split("");
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223
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strl = str.length;
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224
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for (i = 0; i < strl; i++) {
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225
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if (str[i] !== "0") {
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226
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mark = i;
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227
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break;
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228
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}
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229
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}
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230
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if (str[i] === ".") {
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231
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mark -= 1;
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232
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}
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233
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for (var j = 0; j < mark; j++) {
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234
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str[j] = "";
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235
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}
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236
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return str.join("");
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237
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}
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238
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239
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//remove trailing zeroes
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240
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function removeTrailingZeroes(str) {
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241
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str += "";
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242
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var mark = 0;
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243
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var strl, i;
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244
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str = str.split("").reverse();
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245
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strl = str.length;
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246
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for (i = 0; i < strl; i++) {
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247
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if (str[i] !== "0") {
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248
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mark = i;
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249
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break;
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250
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}
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251
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}
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252
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if (str[i] === ".") {
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253
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mark -= 1;
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254
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}
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255
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for (var j = 0; j < mark; j++) {
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256
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str[j] = "";
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257
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}
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258
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return str.reverse().join("");
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259
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}
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260
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261
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//produce zero <string>
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262
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function zero(i) {
|
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263
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if (i <= 0) {
|
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264
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return "";
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265
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}
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266
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var str = "";
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267
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while (i !== 0) {
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268
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str += "0";
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269
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i--;
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270
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}
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271
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return str;
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|
272
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}
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273
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274
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function isMin(_a, _b, strict) {
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275
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var al, bl, i;
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276
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_a = removeLeadingZeroes(_a);
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277
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_b = removeLeadingZeroes(_b);
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278
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if (_a[0] === "-" && _b[0] !== "-") {
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279
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return true;
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|
280
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}
|
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281
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if (_a[0] !== "-" && _b[0] === "-") {
|
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282
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return false;
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|
283
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}
|
|
284
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if (_a[0] === "-" && _b[0] === "-") {
|
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285
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return isMax(_a.substr(1, _a.length), _b.substr(1, _b.length));
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|
286
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}
|
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287
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al = _a.length;
|
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288
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bl = _b.length;
|
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289
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if (al < bl) {
|
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290
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return true;
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291
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}
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292
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if (al > bl) {
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293
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return false;
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294
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}
|
|
295
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if (al === bl) {
|
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296
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for (i = 0; i < al; i++) {
|
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297
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if (_a[i] * 1 > _b[i] * 1) {
|
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298
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return false;
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|
299
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} else if (_a[i] * 1 < _b[i] * 1) {
|
|
300
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return true;
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|
301
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}
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|
302
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}
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|
303
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}
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|
304
|
|
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if (strict) {
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305
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return false;
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|
306
|
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}
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|
307
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return true;
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|
308
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}
|
|
309
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|
|
|
|
310
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|
|
//maximum
|
|
311
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|
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function isMax(_a, _b, strict) {
|
|
312
|
|
|
var al, bl, i;
|
|
313
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|
|
_a = removeLeadingZeroes(_a);
|
|
314
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|
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_b = removeLeadingZeroes(_b);
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|
315
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|
|
if (_a[0] === "-" && _b[0] !== "-") {
|
|
316
|
|
|
return false;
|
|
317
|
|
|
}
|
|
318
|
|
|
if (_a[0] !== "-" && _b[0] === "-") {
|
|
319
|
|
|
return true;
|
|
320
|
|
|
}
|
|
321
|
|
|
if (_a[0] === "-" && _b[0] === "-") {
|
|
322
|
|
|
return isMin(_a.substr(1, _a.length), _b.substr(1, _b.length));
|
|
323
|
|
|
}
|
|
324
|
|
|
al = _a.length;
|
|
325
|
|
|
bl = _b.length;
|
|
326
|
|
|
if (al > bl) {
|
|
327
|
|
|
return true;
|
|
328
|
|
|
}
|
|
329
|
|
|
if (al < bl) {
|
|
330
|
|
|
return false;
|
|
331
|
|
|
}
|
|
332
|
|
|
if (al === bl) {
|
|
333
|
|
|
for (i = 0; i < al; i++) {
|
|
334
|
|
|
if (_a[i] * 1 < _b[i] * 1) {
|
|
335
|
|
|
return false;
|
|
336
|
|
|
} else if (_a[i] * 1 > _b[i] * 1) {
|
|
337
|
|
|
return true;
|
|
338
|
|
|
}
|
|
339
|
|
|
}
|
|
340
|
|
|
}
|
|
341
|
|
|
if (strict) {
|
|
342
|
|
|
return false;
|
|
343
|
|
|
}
|
|
344
|
|
|
return true;
|
|
345
|
|
|
}
|
|
346
|
|
|
|
|
347
|
|
|
//decimal counter
|
|
348
|
|
|
function decimalCounter(_a, _b) {
|
|
349
|
|
|
_a = removeTrailingZeroes(_a);
|
|
350
|
|
|
_b = removeTrailingZeroes(_b);
|
|
351
|
|
|
var a = _a.split(".");
|
|
352
|
|
|
var b = _b.split(".");
|
|
353
|
|
|
//if zero no decimal movement is needed, add ".0" to the back
|
|
354
|
|
|
var decimalCount = 0;
|
|
355
|
|
|
if (a[1] !== undefined) {
|
|
356
|
|
|
if (a[1] === "0" && a[1].length === 1) {
|
|
357
|
|
|
decimalCount += 0;
|
|
358
|
|
|
} else {
|
|
359
|
|
|
decimalCount += a[1].length;
|
|
360
|
|
|
}
|
|
361
|
|
|
}
|
|
362
|
|
|
|
|
363
|
|
|
if (b[1] !== undefined) {
|
|
364
|
|
|
if (b[1] === "0" && b[1].length === 1) {
|
|
365
|
|
|
decimalCount += 0;
|
|
366
|
|
|
} else {
|
|
367
|
|
|
decimalCount += b[1].length;
|
|
368
|
|
|
}
|
|
369
|
|
|
}
|
|
370
|
|
|
|
|
371
|
|
|
return decimalCount;
|
|
372
|
|
|
}
|
|
373
|
|
|
|
|
374
|
|
|
//fix Clean for addition
|
|
375
|
|
|
function fixAdd(a, b) {
|
|
376
|
|
|
var t;
|
|
377
|
|
|
|
|
378
|
|
|
a = signFix(a);
|
|
379
|
|
|
b = signFix(b);
|
|
380
|
|
|
|
|
381
|
|
|
var signa = getSign(a);
|
|
382
|
|
|
var signb = getSign(b);
|
|
383
|
|
|
|
|
384
|
|
|
a = abs(a);
|
|
385
|
|
|
b = abs(b);
|
|
386
|
|
|
|
|
387
|
|
|
t = pairDecimal(a, b);
|
|
388
|
|
|
a = t[0];
|
|
389
|
|
|
b = t[1];
|
|
390
|
|
|
|
|
391
|
|
|
a = removeLeadingZeroes(a);
|
|
392
|
|
|
b = removeLeadingZeroes(b);
|
|
393
|
|
|
|
|
394
|
|
|
return [a, b, signa, signb];
|
|
395
|
|
|
}
|
|
396
|
|
|
|
|
397
|
|
|
//check fix for mult
|
|
398
|
|
|
function fixMult(a, b) {
|
|
399
|
|
|
var d, signa, signb;
|
|
400
|
|
|
|
|
401
|
|
|
a = signFix(a);
|
|
402
|
|
|
b = signFix(b);
|
|
403
|
|
|
|
|
404
|
|
|
signa = getSign(a);
|
|
405
|
|
|
signb = getSign(b);
|
|
406
|
|
|
|
|
407
|
|
|
a = abs(a);
|
|
408
|
|
|
b = abs(b);
|
|
409
|
|
|
|
|
410
|
|
|
a = (a.indexOf(".") > -1) ? removeTrailingZeroes(a) : a;
|
|
411
|
|
|
b = (b.indexOf(".") > -1) ? removeTrailingZeroes(b) : b;
|
|
412
|
|
|
|
|
413
|
|
|
d = decimalCounter(a, b);
|
|
414
|
|
|
|
|
415
|
|
|
a = (a.slice(-2) === ".0") ? a.slice(0, a.length - 2) : a;
|
|
416
|
|
|
b = (b.slice(-2) === ".0") ? b.slice(0, b.length - 2) : b;
|
|
417
|
|
|
|
|
418
|
|
|
a = removeLeadingZeroes(a);
|
|
419
|
|
|
b = removeLeadingZeroes(b);
|
|
420
|
|
|
|
|
421
|
|
|
return [a, b, signa, signb, d];
|
|
422
|
|
|
|
|
423
|
|
|
}
|
|
424
|
|
|
|
|
425
|
|
|
//a adds the integer part of a string
|
|
426
|
|
View Code Duplication |
function a(_a, _b) {
|
|
|
|
|
|
|
427
|
|
|
var al, bl, i;
|
|
428
|
|
|
//_a and _b are strings
|
|
429
|
|
|
//made of pure integers
|
|
430
|
|
|
al = _a.length;
|
|
431
|
|
|
bl = _b.length;
|
|
432
|
|
|
if (al > bl) {
|
|
433
|
|
|
_b = zero(al - bl) + _b;
|
|
434
|
|
|
} else if (al < bl) {
|
|
435
|
|
|
_a = zero(bl - al) + _a;
|
|
436
|
|
|
}
|
|
437
|
|
|
_a = _a.split("").reverse();
|
|
438
|
|
|
_b = _b.split("").reverse();
|
|
439
|
|
|
|
|
440
|
|
|
var carry = 0,
|
|
441
|
|
|
sum = [],
|
|
442
|
|
|
temp = 0;
|
|
443
|
|
|
al = _a.length;
|
|
444
|
|
|
for (i = 0; i < al; i++) {
|
|
445
|
|
|
temp = _a[i] * 1 + _b[i] * 1 + carry;
|
|
446
|
|
|
if (temp >= 10) {
|
|
447
|
|
|
temp -= 10;
|
|
448
|
|
|
carry = 1;
|
|
449
|
|
|
} else {
|
|
450
|
|
|
carry = 0;
|
|
451
|
|
|
}
|
|
452
|
|
|
sum.push(temp + "");
|
|
453
|
|
|
}
|
|
454
|
|
|
if (carry > 0) {
|
|
455
|
|
|
sum.push("1");
|
|
456
|
|
|
}
|
|
457
|
|
|
return sum.reverse().join("");
|
|
458
|
|
|
}
|
|
459
|
|
|
|
|
460
|
|
|
//ad adds the decimal part of string
|
|
461
|
|
View Code Duplication |
function ad(_a, _b) {
|
|
|
|
|
|
|
462
|
|
|
var al, bl, i;
|
|
463
|
|
|
//_a and _b are are strings
|
|
464
|
|
|
//made of pure integers
|
|
465
|
|
|
al = _a.length;
|
|
466
|
|
|
bl = _b.length;
|
|
467
|
|
|
if (al > bl) {
|
|
468
|
|
|
_b += zero(al - bl);
|
|
469
|
|
|
} else if (al < bl) {
|
|
470
|
|
|
_a += zero(bl - al);
|
|
471
|
|
|
}
|
|
472
|
|
|
_a = _a.split("").reverse();
|
|
473
|
|
|
_b = _b.split("").reverse();
|
|
474
|
|
|
|
|
475
|
|
|
var carry = 0,
|
|
476
|
|
|
sum = [],
|
|
477
|
|
|
temp = 0;
|
|
478
|
|
|
al = _a.length;
|
|
479
|
|
|
for (i = 0; i < al; i++) {
|
|
480
|
|
|
temp = _a[i] * 1 + _b[i] * 1 + carry;
|
|
481
|
|
|
if (temp >= 10) {
|
|
482
|
|
|
temp -= 10;
|
|
483
|
|
|
carry = 1;
|
|
484
|
|
|
} else {
|
|
485
|
|
|
carry = 0;
|
|
486
|
|
|
}
|
|
487
|
|
|
sum.push(temp + "");
|
|
488
|
|
|
}
|
|
489
|
|
|
return [sum.reverse().join(""), carry + ""];
|
|
490
|
|
|
}
|
|
491
|
|
|
|
|
492
|
|
|
//add is a operator
|
|
493
|
|
|
function ADD(_a, _b) {
|
|
494
|
|
|
var aa = _a.split(".");
|
|
495
|
|
|
var bb = _b.split(".");
|
|
496
|
|
|
//now add integer part only
|
|
497
|
|
|
var integerPart = a(aa[0], bb[0]);
|
|
498
|
|
|
//then add decimal part only
|
|
499
|
|
|
var decimalPart = ad(aa[1], bb[1]);
|
|
500
|
|
|
//then join the results
|
|
501
|
|
|
return removeLeadingZeroes(a(integerPart, decimalPart[1])) + "." + removeTrailingZeroes(decimalPart[0]);
|
|
502
|
|
|
}
|
|
503
|
|
|
|
|
504
|
|
|
//s subtracts the integer part of a string
|
|
505
|
|
View Code Duplication |
function s(x, y) {
|
|
|
|
|
|
|
506
|
|
|
var xl, yl, i;
|
|
507
|
|
|
xl = x.length;
|
|
508
|
|
|
yl = y.length;
|
|
509
|
|
|
if (xl < yl) {
|
|
510
|
|
|
x = zero(yl - xl) + x;
|
|
511
|
|
|
} else if (xl > yl) {
|
|
512
|
|
|
y = zero(xl - yl) + y;
|
|
513
|
|
|
}
|
|
514
|
|
|
x = x.split("").reverse();
|
|
515
|
|
|
y = y.split("").reverse();
|
|
516
|
|
|
|
|
517
|
|
|
var borrow = 0,
|
|
518
|
|
|
diff = [],
|
|
519
|
|
|
temp = 0;
|
|
520
|
|
|
xl = x.length;
|
|
521
|
|
|
for (i = 0; i < xl; i++) {
|
|
522
|
|
|
temp = (x[i] * 1) - (y[i] * 1) - borrow;
|
|
523
|
|
|
if (temp < 0) {
|
|
524
|
|
|
temp = (10 + x[i] * 1 - y[i] * 1 - borrow);
|
|
525
|
|
|
borrow = 1;
|
|
526
|
|
|
} else {
|
|
527
|
|
|
borrow = 0;
|
|
528
|
|
|
}
|
|
529
|
|
|
diff.push(temp);
|
|
530
|
|
|
}
|
|
531
|
|
|
return diff.reverse().join("");
|
|
532
|
|
|
}
|
|
533
|
|
|
|
|
534
|
|
|
//sd subtracts the decimal part of string
|
|
535
|
|
View Code Duplication |
function sd(x, y) {
|
|
|
|
|
|
|
536
|
|
|
var xl, yl, i;
|
|
537
|
|
|
xl = x.length;
|
|
538
|
|
|
yl = y.length;
|
|
539
|
|
|
if (xl < yl) {
|
|
540
|
|
|
x += zero(yl - xl);
|
|
541
|
|
|
} else if (xl > yl) {
|
|
542
|
|
|
y += zero(xl - yl);
|
|
543
|
|
|
}
|
|
544
|
|
|
|
|
545
|
|
|
x = x.split("").reverse();
|
|
546
|
|
|
y = y.split("").reverse();
|
|
547
|
|
|
|
|
548
|
|
|
var borrow = 0,
|
|
549
|
|
|
diff = [],
|
|
550
|
|
|
temp = 0;
|
|
551
|
|
|
xl = x.length;
|
|
552
|
|
|
for (i = 0; i < xl; i++) {
|
|
553
|
|
|
temp = (x[i] * 1) - (y[i] * 1) - borrow;
|
|
554
|
|
|
if (temp < 0) {
|
|
555
|
|
|
temp = (10 + x[i] * 1 - y[i] * 1 - borrow);
|
|
556
|
|
|
borrow = 1;
|
|
557
|
|
|
} else {
|
|
558
|
|
|
borrow = 0;
|
|
559
|
|
|
}
|
|
560
|
|
|
diff.push(temp);
|
|
561
|
|
|
}
|
|
562
|
|
|
return [diff.reverse().join(""), borrow + ""];
|
|
563
|
|
|
}
|
|
564
|
|
|
|
|
565
|
|
|
//subtract is a operator
|
|
566
|
|
|
function subtract(_a, _b) {
|
|
567
|
|
|
var aa = _a.split(".");
|
|
568
|
|
|
var bb = _b.split(".");
|
|
569
|
|
|
//now subtract integer part only
|
|
570
|
|
|
var integerPart = s(aa[0], bb[0]);
|
|
571
|
|
|
//then subtract decimal part only
|
|
572
|
|
|
var decimalPart = sd(aa[1], bb[1]);
|
|
573
|
|
|
//then join the results
|
|
574
|
|
|
return removeLeadingZeroes(s(integerPart, decimalPart[1])) + "." + removeTrailingZeroes(decimalPart[0]);
|
|
575
|
|
|
}
|
|
576
|
|
|
|
|
577
|
|
|
//decider
|
|
578
|
|
|
function add(_a, _b) {
|
|
579
|
|
|
var t = fixAdd(_a, _b);
|
|
580
|
|
|
var signa = t[2];
|
|
581
|
|
|
var signb = t[3];
|
|
582
|
|
|
var aa = t[0];
|
|
583
|
|
|
var bb = t[1];
|
|
584
|
|
|
var first = max(aa, bb);
|
|
585
|
|
|
var second = min(aa, bb);
|
|
586
|
|
|
var output = "0.0";
|
|
587
|
|
|
if (getSign(_a) === getSign(_b)) {
|
|
588
|
|
|
return signa + ADD(aa, bb);
|
|
589
|
|
|
}
|
|
590
|
|
|
if (aa === first && bb === first) {
|
|
591
|
|
|
//different sign same numbers? Its zero!
|
|
592
|
|
|
return "0.0";
|
|
593
|
|
|
} else if (aa === first) {
|
|
594
|
|
|
return signa + subtract(first, second);
|
|
595
|
|
|
} else if (bb === first) {
|
|
596
|
|
|
return signb + subtract(first, second);
|
|
597
|
|
|
}
|
|
598
|
|
|
|
|
599
|
|
|
return output;
|
|
600
|
|
|
}
|
|
601
|
|
|
|
|
602
|
|
|
//multiply large integer by a single digit
|
|
603
|
|
|
function m(_a, _b) {
|
|
604
|
|
|
_a = _a.split("").reverse().join("");
|
|
605
|
|
|
var i, temp, carry = 0,
|
|
606
|
|
|
output = "";
|
|
607
|
|
|
var al = _a.length;
|
|
608
|
|
|
for (i = 0; i < al; i++) {
|
|
609
|
|
|
temp = (1 * _a[i]) * (1 * _b) + carry;
|
|
610
|
|
|
output += (temp % 10);
|
|
611
|
|
|
carry = Math.floor(temp / 10);
|
|
612
|
|
|
}
|
|
613
|
|
|
if (carry) {
|
|
614
|
|
|
return carry + output.split("").reverse().join("");
|
|
615
|
|
|
}
|
|
616
|
|
|
return output.split("").reverse().join("");
|
|
617
|
|
|
}
|
|
618
|
|
|
|
|
619
|
|
|
//multiplication operator
|
|
620
|
|
|
function multiply(_a, _b) {
|
|
621
|
|
|
var t = fixMult(_a, _b);
|
|
622
|
|
|
var sign = "-";
|
|
623
|
|
|
var decimal = t[4];
|
|
624
|
|
|
if (t[2] === t[3]) {
|
|
625
|
|
|
sign = "";
|
|
626
|
|
|
}
|
|
627
|
|
|
var aa = removeDecimal(t[0]);
|
|
628
|
|
|
var bb = removeDecimal(t[1].split("").reverse().join(""));
|
|
629
|
|
|
|
|
630
|
|
|
if (aa === "0" || bb === "0") {
|
|
631
|
|
|
return "0.0";
|
|
632
|
|
|
} else if (aa === "1") {
|
|
633
|
|
|
return sign + t[1];
|
|
634
|
|
|
} else if (bb === "1") {
|
|
635
|
|
|
return sign + t[0];
|
|
636
|
|
|
}
|
|
637
|
|
|
|
|
638
|
|
|
var i, output = "0",
|
|
639
|
|
|
tmp;
|
|
640
|
|
|
var bbl = bb.length;
|
|
641
|
|
|
for (i = 0; i < bbl; i++) {
|
|
642
|
|
|
tmp = m(aa, bb[i]);
|
|
643
|
|
|
//console.log(tmp);
|
|
644
|
|
|
output = a(output, tmp + zero(i));
|
|
645
|
|
|
//console.log(output);
|
|
646
|
|
|
}
|
|
647
|
|
|
//console.log(decimal);
|
|
648
|
|
|
if (decimal === 0) {
|
|
649
|
|
|
return sign + removeLeadingZeroes(output + ".0");
|
|
650
|
|
|
}
|
|
651
|
|
|
var d = (output.length) - decimal;
|
|
652
|
|
|
return sign + removeLeadingZeroes(splice(output, d, 0, "."));
|
|
653
|
|
|
}
|
|
654
|
|
|
|
|
655
|
|
|
//integer if decimal is zero
|
|
656
|
|
|
function turnToIntIfDecIsZero(str) {
|
|
657
|
|
|
var a = str.split(".");
|
|
658
|
|
|
if (a[1] === "0" && a[1].length === 1) {
|
|
659
|
|
|
return a[0];
|
|
660
|
|
|
}
|
|
661
|
|
|
return str;
|
|
662
|
|
|
}
|
|
663
|
|
|
|
|
664
|
|
|
//forrmats two numbers and returns an array
|
|
665
|
|
|
function pair(a, b, skip) {
|
|
666
|
|
|
a = a.split(".");
|
|
667
|
|
|
b = b.split(".");
|
|
668
|
|
|
|
|
669
|
|
|
a[1] = (a.length - 1) === 1 ? a[1] : "0";
|
|
670
|
|
|
b[1] = (b.length - 1) === 1 ? b[1] : "0";
|
|
671
|
|
|
|
|
672
|
|
|
if (!skip) {
|
|
673
|
|
|
var ala = a[0].length;
|
|
674
|
|
|
var alb = b[0].length;
|
|
675
|
|
|
var bla = a[1].length;
|
|
676
|
|
|
var blb = b[1].length;
|
|
677
|
|
|
|
|
678
|
|
|
while (ala > alb) {
|
|
679
|
|
|
b[0] = "0" + b[0];
|
|
680
|
|
|
alb += 1;
|
|
681
|
|
|
}
|
|
682
|
|
|
while (ala < alb) {
|
|
683
|
|
|
a[0] = "0" + a[0];
|
|
684
|
|
|
ala += 1;
|
|
685
|
|
|
}
|
|
686
|
|
|
|
|
687
|
|
|
while (bla > blb) {
|
|
688
|
|
|
b[1] += "0";
|
|
689
|
|
|
blb += 1;
|
|
690
|
|
|
}
|
|
691
|
|
|
while (bla < blb) {
|
|
692
|
|
|
a[1] += "0";
|
|
693
|
|
|
bla += 1;
|
|
694
|
|
|
}
|
|
695
|
|
|
}
|
|
696
|
|
|
|
|
697
|
|
|
return [a.join("."), b.join(".")];
|
|
698
|
|
|
}
|
|
699
|
|
|
|
|
700
|
|
|
//move decimal for division
|
|
701
|
|
|
function moveDecimal(_a, _b) {
|
|
702
|
|
|
_a = removeTrailingZeroes(_a);
|
|
703
|
|
|
_b = removeTrailingZeroes(_b);
|
|
704
|
|
|
var decimal = 0;
|
|
705
|
|
|
//var oldIndex = -1;
|
|
706
|
|
|
//var newIndex = -1;
|
|
707
|
|
|
var temp = pair(_a, _b);
|
|
708
|
|
|
//_b is the divisor!
|
|
709
|
|
|
_a = removeLeadingZeroes(temp[0]);
|
|
710
|
|
|
_b = removeTrailingZeroes(removeLeadingZeroes(temp[1]));
|
|
711
|
|
|
decimal = decimalCounter(_b, "0");
|
|
712
|
|
|
|
|
713
|
|
|
//remove decimal of b
|
|
714
|
|
|
_b = removeDecimal(turnToIntIfDecIsZero(_b));
|
|
715
|
|
|
//get the current position
|
|
716
|
|
|
//of the decimal
|
|
717
|
|
|
//oldIndex = _a.indexOf(".");
|
|
718
|
|
|
//remove the decimal
|
|
719
|
|
|
//_a = removeDecimal(_a);
|
|
720
|
|
|
//calculate the new pos
|
|
721
|
|
|
//newIndex = oldIndex + decimal;
|
|
722
|
|
|
//put into place
|
|
723
|
|
|
_a = splice(removeDecimal(_a), _a.indexOf(".") + decimal, 0, ".");
|
|
724
|
|
|
//finish
|
|
725
|
|
|
if (_a[_a.length - 1] === ".") {
|
|
726
|
|
|
_a += "0";
|
|
727
|
|
|
}
|
|
728
|
|
|
_b += ".0";
|
|
729
|
|
|
return [_a, _b];
|
|
730
|
|
|
|
|
731
|
|
|
}
|
|
732
|
|
|
|
|
733
|
|
|
//functio divFix
|
|
734
|
|
|
function divFix(_a, _b) {
|
|
735
|
|
|
var d, signa, signb;
|
|
736
|
|
|
|
|
737
|
|
|
_a = signFix(_a);
|
|
738
|
|
|
_b = signFix(_b);
|
|
739
|
|
|
|
|
740
|
|
|
signa = getSign(_a);
|
|
741
|
|
|
signb = getSign(_b);
|
|
742
|
|
|
|
|
743
|
|
|
_a = abs(_a);
|
|
744
|
|
|
_b = abs(_b);
|
|
745
|
|
|
|
|
746
|
|
|
_a = (_a.indexOf(".") > -1) ? removeTrailingZeroes(_a) : _a + ".0";
|
|
747
|
|
|
_b = (_b.indexOf(".") > -1) ? removeTrailingZeroes(_b) : _b + ".0";
|
|
748
|
|
|
|
|
749
|
|
|
d = moveDecimal(_a, _b);
|
|
750
|
|
|
|
|
751
|
|
|
_a = d[0];
|
|
752
|
|
|
_b = d[1];
|
|
753
|
|
|
|
|
754
|
|
|
_b = (_b.slice(-2) === ".0") ? _b.slice(0, _b.length - 2) : _b;
|
|
755
|
|
|
|
|
756
|
|
|
_a = removeLeadingZeroes(_a);
|
|
757
|
|
|
_b = removeLeadingZeroes(_b);
|
|
758
|
|
|
|
|
759
|
|
|
return [_a, _b, signa, signb];
|
|
760
|
|
|
}
|
|
761
|
|
|
|
|
762
|
|
|
//division for integers
|
|
763
|
|
|
function division(A, B, t) {
|
|
764
|
|
|
var OA = A;
|
|
765
|
|
|
if (A.length < B.length) {
|
|
766
|
|
|
return ["0", A];
|
|
767
|
|
|
} else if (B === "0") {
|
|
768
|
|
|
throw "error!";
|
|
769
|
|
|
}
|
|
770
|
|
|
|
|
771
|
|
|
var i, q, d, z = A.length - B.length;
|
|
772
|
|
|
var stack = [];
|
|
773
|
|
|
var abl = A.length - B.length + 1;
|
|
774
|
|
|
|
|
775
|
|
|
for (i = 0; i < abl; i++) {
|
|
776
|
|
|
d = B + zero(z);
|
|
777
|
|
|
//happens if there is a rmainder eg 956 / 34
|
|
778
|
|
|
if (A.length > d.length) {
|
|
779
|
|
|
q = Math.floor(((A[0] + A[1]) * 1) / (d[0] * 1)) + "";
|
|
780
|
|
|
//happens if we find the real remainder R
|
|
781
|
|
|
} else if (A.length < d.length && i === (abl - 1)) {
|
|
782
|
|
|
q = "0";
|
|
783
|
|
|
stack.push(q);
|
|
784
|
|
|
break;
|
|
785
|
|
|
//happens if the next digit zero ex: 024 / 100
|
|
786
|
|
|
} else if (A.length < d.length) {
|
|
787
|
|
|
q = "0";
|
|
788
|
|
|
stack.push(q);
|
|
789
|
|
|
z = z - 1;
|
|
790
|
|
|
continue;
|
|
791
|
|
|
//happens if length of A === length of D
|
|
792
|
|
|
} else {
|
|
793
|
|
|
q = Math.floor((A[0] * 1) / (d[0] * 1)) + "";
|
|
794
|
|
|
}
|
|
795
|
|
|
if (q.length >= 2) {
|
|
796
|
|
|
q = "9";
|
|
797
|
|
|
}
|
|
798
|
|
|
var temp = m(d, q);
|
|
799
|
|
|
while (isMin(A, temp, true)) {
|
|
800
|
|
|
q = s(q, "1");
|
|
801
|
|
|
temp = m(d, q);
|
|
802
|
|
|
}
|
|
803
|
|
|
stack.push(q);
|
|
804
|
|
|
A = removeLeadingZeroes(s(A, m(d, q)));
|
|
805
|
|
|
z = z - 1;
|
|
806
|
|
|
}
|
|
807
|
|
|
if (t) {
|
|
808
|
|
|
return [zero(OA.length - stack.length) + stack.join(""), A];
|
|
809
|
|
|
}
|
|
810
|
|
|
return [removeLeadingZeroes(stack.join("")), floor(removeLeadingZeroes(A + ".0"))];
|
|
811
|
|
|
}
|
|
812
|
|
|
|
|
813
|
|
|
//function count zeroes
|
|
814
|
|
|
function countZeroes(n) {
|
|
815
|
|
|
var i, nl = n.length;
|
|
816
|
|
|
var output = 0;
|
|
817
|
|
|
for (i = 0; i < nl; i++) {
|
|
818
|
|
|
if (n[i] === "0") {
|
|
819
|
|
|
output += 1;
|
|
820
|
|
|
} else {
|
|
821
|
|
|
break;
|
|
822
|
|
|
}
|
|
823
|
|
|
}
|
|
824
|
|
|
return output;
|
|
825
|
|
|
}
|
|
826
|
|
|
|
|
827
|
|
|
//function division
|
|
828
|
|
|
function Division(_a, _b) {
|
|
829
|
|
|
var temp = divFix(_a, _b);
|
|
830
|
|
|
var A = temp[0];
|
|
831
|
|
|
var B = temp[1];
|
|
832
|
|
|
var signA = temp[2];
|
|
833
|
|
|
var signB = temp[3];
|
|
834
|
|
|
var output = "";
|
|
835
|
|
|
var sign = "-";
|
|
836
|
|
|
var tmp = "";
|
|
837
|
|
|
var t = "";
|
|
838
|
|
|
//var i = 0, h = 0;
|
|
839
|
|
|
var r = "";
|
|
840
|
|
|
var cz = 0;
|
|
841
|
|
|
var rl = 0;
|
|
842
|
|
|
|
|
843
|
|
|
if (signA === signB) {
|
|
844
|
|
|
sign = "";
|
|
845
|
|
|
}
|
|
846
|
|
|
|
|
847
|
|
|
if (B === "0") {
|
|
848
|
|
|
throw "Division Error: Cannot Divide By Zero";
|
|
849
|
|
|
} else if (A === "0.0") {
|
|
850
|
|
|
return "0.0";
|
|
851
|
|
|
}
|
|
852
|
|
|
|
|
853
|
|
|
A = A.split(".");
|
|
854
|
|
|
tmp = division(A[0], B);
|
|
855
|
|
|
output += (tmp[0] + ".");
|
|
856
|
|
|
r = tmp[1];
|
|
857
|
|
|
rl = r.length;
|
|
858
|
|
|
if (r === "0") {
|
|
859
|
|
|
r = "";
|
|
860
|
|
|
rl = 0;
|
|
861
|
|
|
cz = countZeroes(A[1]);
|
|
862
|
|
|
if (A[1] === "0") {
|
|
863
|
|
|
cz = 0;
|
|
864
|
|
|
}
|
|
865
|
|
|
A[1] = removeLeadingZeroes(A[1]);
|
|
866
|
|
|
}
|
|
867
|
|
|
|
|
868
|
|
|
t = r + A[1];
|
|
869
|
|
|
tmp = division(t + zero(limits.decimalDigits - 1), B, true);
|
|
870
|
|
|
output += (zero(cz) + tmp[0].substr(rl, tmp[0].length));
|
|
871
|
|
|
|
|
872
|
|
|
return sign + removeTrailingZeroes(output);
|
|
873
|
|
|
}
|
|
874
|
|
|
|
|
875
|
|
|
//function power
|
|
876
|
|
|
function power(_a, _b) {
|
|
877
|
|
|
//patched for stopping big power
|
|
878
|
|
|
_b = abs(floor(_b));
|
|
879
|
|
|
var i = "1";
|
|
880
|
|
|
var output = _a;
|
|
881
|
|
|
while (isMin(i, _b, true)) {
|
|
882
|
|
|
//this should be slow, but checking for growing digits is adviced
|
|
883
|
|
|
if (abs(floor(output)).length > limits.decimalDigits) {
|
|
884
|
|
|
console.error("Error: Value of the exponent is larger than the predefined limit.");
|
|
885
|
|
|
console.error("Stopped at iteration " + i + " of " + _b + ". Errors may happen due to precision.");
|
|
886
|
|
|
output = output.substr(0, limits.decimalDigits) + zero(output.length - 1 - limits.decimalDigits);
|
|
887
|
|
|
return output;
|
|
888
|
|
|
}
|
|
889
|
|
|
i = a(i, "1");
|
|
890
|
|
|
output = multiply(output, _a);
|
|
891
|
|
|
}
|
|
892
|
|
|
return output;
|
|
893
|
|
|
}
|
|
894
|
|
|
|
|
895
|
|
|
//compare numbers
|
|
896
|
|
|
function equalTo(_a, _b) {
|
|
897
|
|
|
//this is automatic
|
|
898
|
|
|
if (_a === _b) {
|
|
899
|
|
|
return true;
|
|
900
|
|
|
}
|
|
901
|
|
|
var arr = fixAdd(_a, _b);
|
|
902
|
|
|
if (arr[0] === arr[1] && arr[0] === "0.0") {
|
|
903
|
|
|
return true;
|
|
904
|
|
|
}
|
|
905
|
|
|
if (arr[0] === arr[1] && arr[2] === arr[3]) {
|
|
906
|
|
|
return true;
|
|
907
|
|
|
}
|
|
908
|
|
|
return false;
|
|
909
|
|
|
}
|
|
910
|
|
|
|
|
911
|
|
|
function maxTo(_a, _b) {
|
|
912
|
|
|
var arr = fixAdd(_a, _b);
|
|
913
|
|
|
if (arr[0] === arr[1] && arr[0] === "0.0") {
|
|
914
|
|
|
return false;
|
|
915
|
|
|
}
|
|
916
|
|
|
var bool = isMax(arr[2] + arr[0], arr[3] + arr[1], true);
|
|
917
|
|
|
return bool;
|
|
918
|
|
|
}
|
|
919
|
|
|
|
|
920
|
|
|
function minTo(_a, _b) {
|
|
921
|
|
|
var arr = fixAdd(_a, _b);
|
|
922
|
|
|
if (arr[0] === arr[1] && arr[0] === "0.0") {
|
|
923
|
|
|
return false;
|
|
924
|
|
|
}
|
|
925
|
|
|
var bool = isMin(arr[2] + arr[0], arr[3] + arr[1], true);
|
|
926
|
|
|
return bool;
|
|
927
|
|
|
}
|
|
928
|
|
|
|
|
929
|
|
|
function maxEqTo(_a, _b) {
|
|
930
|
|
|
var arr = fixAdd(_a, _b);
|
|
931
|
|
|
if (arr[0] === arr[1] && arr[0] === "0.0") {
|
|
932
|
|
|
return false;
|
|
933
|
|
|
}
|
|
934
|
|
|
var bool = isMax(arr[2] + arr[0], arr[3] + arr[1]);
|
|
935
|
|
|
return bool;
|
|
936
|
|
|
}
|
|
937
|
|
|
|
|
938
|
|
|
function minEqTo(_a, _b) {
|
|
939
|
|
|
var arr = fixAdd(_a, _b);
|
|
940
|
|
|
if (arr[0] === arr[1] && arr[0] === "0.0") {
|
|
941
|
|
|
return false;
|
|
942
|
|
|
}
|
|
943
|
|
|
var bool = isMin(arr[2] + arr[0], arr[3] + arr[1]);
|
|
944
|
|
|
return bool;
|
|
945
|
|
|
}
|
|
946
|
|
|
|
|
947
|
|
|
//create our function constructor for arb
|
|
948
|
|
|
//arb stands for arbitrary
|
|
949
|
|
|
function Arbshell(n) {
|
|
950
|
|
|
//n is string here
|
|
951
|
|
|
//serialize n
|
|
952
|
|
|
this.value = n.replace(/(\t|\s|[a-zA-Z])/g, "");
|
|
953
|
|
|
}
|
|
954
|
|
|
Arbshell.prototype = {
|
|
955
|
|
|
rawAdd: function (n) {
|
|
956
|
|
|
var temp = this.value;
|
|
957
|
|
|
this.value = ADD(temp, n);
|
|
958
|
|
|
return this;
|
|
959
|
|
|
},
|
|
960
|
|
|
rawSubtract: function (n) {
|
|
961
|
|
|
var temp = this.value;
|
|
962
|
|
|
this.value = subtract(temp, n);
|
|
963
|
|
|
return this;
|
|
964
|
|
|
},
|
|
965
|
|
|
rawDivide: function (n) {
|
|
966
|
|
|
var temp = floor(this.value);
|
|
967
|
|
|
this.value = division(temp, floor(n))[0];
|
|
968
|
|
|
return this;
|
|
969
|
|
|
},
|
|
970
|
|
|
add: function (n) {
|
|
971
|
|
|
var temp = this.value;
|
|
972
|
|
|
this.value = add(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
973
|
|
|
return this;
|
|
974
|
|
|
},
|
|
975
|
|
|
sub: function (n) {
|
|
976
|
|
|
var temp = this.value;
|
|
977
|
|
|
this.value = add(temp, "-" + n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
978
|
|
|
return this;
|
|
979
|
|
|
},
|
|
980
|
|
|
mul: function (n) {
|
|
981
|
|
|
var temp = this.value;
|
|
982
|
|
|
this.value = multiply(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
983
|
|
|
return this;
|
|
984
|
|
|
},
|
|
985
|
|
|
div: function (n, o) {
|
|
986
|
|
|
if(typeof o === "number"){
|
|
987
|
|
|
if(o > 0){
|
|
988
|
|
|
limits.decimalDigits = o;
|
|
989
|
|
|
}
|
|
990
|
|
|
}
|
|
991
|
|
|
var temp = this.value;
|
|
992
|
|
|
this.value = Division(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
993
|
|
|
limits.decimalDigits = 200;
|
|
994
|
|
|
return this;
|
|
995
|
|
|
},
|
|
996
|
|
|
pow: function (n,o) {
|
|
997
|
|
|
if(typeof o === "number"){
|
|
998
|
|
|
if(o > 0){
|
|
999
|
|
|
limits.decimalDigits = o;
|
|
1000
|
|
|
}
|
|
1001
|
|
|
}
|
|
1002
|
|
|
var temp = this.value;
|
|
1003
|
|
|
this.value = power(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
1004
|
|
|
limits.decimalDigits = 200;
|
|
1005
|
|
|
return this;
|
|
1006
|
|
|
},
|
|
1007
|
|
|
eq: function (n) {
|
|
1008
|
|
|
var temp = this.value;
|
|
1009
|
|
|
return equalTo(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
1010
|
|
|
},
|
|
1011
|
|
|
lt: function (n) {
|
|
1012
|
|
|
var temp = this.value;
|
|
1013
|
|
|
return minTo(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
1014
|
|
|
},
|
|
1015
|
|
|
gt: function (n) {
|
|
1016
|
|
|
var temp = this.value;
|
|
1017
|
|
|
return maxTo(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
1018
|
|
|
},
|
|
1019
|
|
|
lte: function (n) {
|
|
1020
|
|
|
var temp = this.value;
|
|
1021
|
|
|
return minEqTo(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
1022
|
|
|
},
|
|
1023
|
|
|
gte: function (n) {
|
|
1024
|
|
|
var temp = this.value;
|
|
1025
|
|
|
return maxEqTo(temp, n.replace(/(\t|\s|[a-zA-Z])/g, ""));
|
|
1026
|
|
|
},
|
|
1027
|
|
|
floor: function () {
|
|
1028
|
|
|
var temp = this.value;
|
|
1029
|
|
|
this.value = floor(temp);
|
|
1030
|
|
|
return this;
|
|
1031
|
|
|
},
|
|
1032
|
|
|
abs: function () {
|
|
1033
|
|
|
var temp = this.value;
|
|
1034
|
|
|
this.value = abs(temp);
|
|
1035
|
|
|
return this;
|
|
1036
|
|
|
}
|
|
1037
|
|
|
};
|
|
1038
|
|
|
|
|
1039
|
|
|
//export our object
|
|
1040
|
|
|
/** global: define */
|
|
1041
|
|
|
if (typeof define === 'function' && define.amd) {
|
|
|
|
|
|
|
1042
|
|
|
define([], function (n) {
|
|
1043
|
|
|
return (new Arbshell(n));
|
|
1044
|
|
|
});
|
|
1045
|
|
|
} else if (typeof exports === 'object') {
|
|
1046
|
|
|
module.exports = function (n) {
|
|
1047
|
|
|
return (new Arbshell(n));
|
|
1048
|
|
|
};
|
|
1049
|
|
|
} else {
|
|
1050
|
|
|
scope.arb = function (n) {
|
|
1051
|
|
|
return (new Arbshell(n));
|
|
1052
|
|
|
};
|
|
1053
|
|
|
}
|
|
1054
|
|
|
})(this); |
pvzzombs /
arb
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