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- /* big.js v3.1.3 https://github.com/MikeMcl/big.js/LICENCE */
- ;(function (global) {
- 'use strict';
- /*
- big.js v3.1.3
- A small, fast, easy-to-use library for arbitrary-precision decimal arithmetic.
- https://github.com/MikeMcl/big.js/
- Copyright (c) 2014 Michael Mclaughlin <M8ch88l@gmail.com>
- MIT Expat Licence
- */
- /***************************** EDITABLE DEFAULTS ******************************/
- // The default values below must be integers within the stated ranges.
- /*
- * The maximum number of decimal places of the results of operations
- * involving division: div and sqrt, and pow with negative exponents.
- */
- var DP = 20, // 0 to MAX_DP
- /*
- * The rounding mode used when rounding to the above decimal places.
- *
- * 0 Towards zero (i.e. truncate, no rounding). (ROUND_DOWN)
- * 1 To nearest neighbour. If equidistant, round up. (ROUND_HALF_UP)
- * 2 To nearest neighbour. If equidistant, to even. (ROUND_HALF_EVEN)
- * 3 Away from zero. (ROUND_UP)
- */
- RM = 1, // 0, 1, 2 or 3
- // The maximum value of DP and Big.DP.
- MAX_DP = 1E6, // 0 to 1000000
- // The maximum magnitude of the exponent argument to the pow method.
- MAX_POWER = 1E6, // 1 to 1000000
- /*
- * The exponent value at and beneath which toString returns exponential
- * notation.
- * JavaScript's Number type: -7
- * -1000000 is the minimum recommended exponent value of a Big.
- */
- E_NEG = -7, // 0 to -1000000
- /*
- * The exponent value at and above which toString returns exponential
- * notation.
- * JavaScript's Number type: 21
- * 1000000 is the maximum recommended exponent value of a Big.
- * (This limit is not enforced or checked.)
- */
- E_POS = 21, // 0 to 1000000
- /******************************************************************************/
- // The shared prototype object.
- P = {},
- isValid = /^-?(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,
- Big;
- /*
- * Create and return a Big constructor.
- *
- */
- function bigFactory() {
- /*
- * The Big constructor and exported function.
- * Create and return a new instance of a Big number object.
- *
- * n {number|string|Big} A numeric value.
- */
- function Big(n) {
- var x = this;
- // Enable constructor usage without new.
- if (!(x instanceof Big)) {
- return n === void 0 ? bigFactory() : new Big(n);
- }
- // Duplicate.
- if (n instanceof Big) {
- x.s = n.s;
- x.e = n.e;
- x.c = n.c.slice();
- } else {
- parse(x, n);
- }
- /*
- * Retain a reference to this Big constructor, and shadow
- * Big.prototype.constructor which points to Object.
- */
- x.constructor = Big;
- }
- Big.prototype = P;
- Big.DP = DP;
- Big.RM = RM;
- Big.E_NEG = E_NEG;
- Big.E_POS = E_POS;
- return Big;
- }
- // Private functions
- /*
- * Return a string representing the value of Big x in normal or exponential
- * notation to dp fixed decimal places or significant digits.
- *
- * x {Big} The Big to format.
- * dp {number} Integer, 0 to MAX_DP inclusive.
- * toE {number} 1 (toExponential), 2 (toPrecision) or undefined (toFixed).
- */
- function format(x, dp, toE) {
- var Big = x.constructor,
- // The index (normal notation) of the digit that may be rounded up.
- i = dp - (x = new Big(x)).e,
- c = x.c;
- // Round?
- if (c.length > ++dp) {
- rnd(x, i, Big.RM);
- }
- if (!c[0]) {
- ++i;
- } else if (toE) {
- i = dp;
- // toFixed
- } else {
- c = x.c;
- // Recalculate i as x.e may have changed if value rounded up.
- i = x.e + i + 1;
- }
- // Append zeros?
- for (; c.length < i; c.push(0)) {
- }
- i = x.e;
- /*
- * toPrecision returns exponential notation if the number of
- * significant digits specified is less than the number of digits
- * necessary to represent the integer part of the value in normal
- * notation.
- */
- return toE === 1 || toE && (dp <= i || i <= Big.E_NEG) ?
- // Exponential notation.
- (x.s < 0 && c[0] ? '-' : '') +
- (c.length > 1 ? c[0] + '.' + c.join('').slice(1) : c[0]) +
- (i < 0 ? 'e' : 'e+') + i
- // Normal notation.
- : x.toString();
- }
- /*
- * Parse the number or string value passed to a Big constructor.
- *
- * x {Big} A Big number instance.
- * n {number|string} A numeric value.
- */
- function parse(x, n) {
- var e, i, nL;
- // Minus zero?
- if (n === 0 && 1 / n < 0) {
- n = '-0';
- // Ensure n is string and check validity.
- } else if (!isValid.test(n += '')) {
- throwErr(NaN);
- }
- // Determine sign.
- x.s = n.charAt(0) == '-' ? (n = n.slice(1), -1) : 1;
- // Decimal point?
- if ((e = n.indexOf('.')) > -1) {
- n = n.replace('.', '');
- }
- // Exponential form?
- if ((i = n.search(/e/i)) > 0) {
- // Determine exponent.
- if (e < 0) {
- e = i;
- }
- e += +n.slice(i + 1);
- n = n.substring(0, i);
- } else if (e < 0) {
- // Integer.
- e = n.length;
- }
- nL = n.length;
- // Determine leading zeros.
- for (i = 0; i < nL && n.charAt(i) == '0'; i++) {
- }
- if (i == nL) {
- // Zero.
- x.c = [ x.e = 0 ];
- } else {
- // Determine trailing zeros.
- for (; nL > 0 && n.charAt(--nL) == '0';) {
- }
- x.e = e - i - 1;
- x.c = [];
- // Convert string to array of digits without leading/trailing zeros.
- //for (e = 0; i <= nL; x.c[e++] = +n.charAt(i++)) {
- for (; i <= nL; x.c.push(+n.charAt(i++))) {
- }
- }
- return x;
- }
- /*
- * Round Big x to a maximum of dp decimal places using rounding mode rm.
- * Called by div, sqrt and round.
- *
- * x {Big} The Big to round.
- * dp {number} Integer, 0 to MAX_DP inclusive.
- * rm {number} 0, 1, 2 or 3 (DOWN, HALF_UP, HALF_EVEN, UP)
- * [more] {boolean} Whether the result of division was truncated.
- */
- function rnd(x, dp, rm, more) {
- var u,
- xc = x.c,
- i = x.e + dp + 1;
- if (rm === 1) {
- // xc[i] is the digit after the digit that may be rounded up.
- more = xc[i] >= 5;
- } else if (rm === 2) {
- more = xc[i] > 5 || xc[i] == 5 &&
- (more || i < 0 || xc[i + 1] !== u || xc[i - 1] & 1);
- } else if (rm === 3) {
- more = more || xc[i] !== u || i < 0;
- } else {
- more = false;
- if (rm !== 0) {
- throwErr('!Big.RM!');
- }
- }
- if (i < 1 || !xc[0]) {
- if (more) {
- // 1, 0.1, 0.01, 0.001, 0.0001 etc.
- x.e = -dp;
- x.c = [1];
- } else {
- // Zero.
- x.c = [x.e = 0];
- }
- } else {
- // Remove any digits after the required decimal places.
- xc.length = i--;
- // Round up?
- if (more) {
- // Rounding up may mean the previous digit has to be rounded up.
- for (; ++xc[i] > 9;) {
- xc[i] = 0;
- if (!i--) {
- ++x.e;
- xc.unshift(1);
- }
- }
- }
- // Remove trailing zeros.
- for (i = xc.length; !xc[--i]; xc.pop()) {
- }
- }
- return x;
- }
- /*
- * Throw a BigError.
- *
- * message {string} The error message.
- */
- function throwErr(message) {
- var err = new Error(message);
- err.name = 'BigError';
- throw err;
- }
- // Prototype/instance methods
- /*
- * Return a new Big whose value is the absolute value of this Big.
- */
- P.abs = function () {
- var x = new this.constructor(this);
- x.s = 1;
- return x;
- };
- /*
- * Return
- * 1 if the value of this Big is greater than the value of Big y,
- * -1 if the value of this Big is less than the value of Big y, or
- * 0 if they have the same value.
- */
- P.cmp = function (y) {
- var xNeg,
- x = this,
- xc = x.c,
- yc = (y = new x.constructor(y)).c,
- i = x.s,
- j = y.s,
- k = x.e,
- l = y.e;
- // Either zero?
- if (!xc[0] || !yc[0]) {
- return !xc[0] ? !yc[0] ? 0 : -j : i;
- }
- // Signs differ?
- if (i != j) {
- return i;
- }
- xNeg = i < 0;
- // Compare exponents.
- if (k != l) {
- return k > l ^ xNeg ? 1 : -1;
- }
- i = -1;
- j = (k = xc.length) < (l = yc.length) ? k : l;
- // Compare digit by digit.
- for (; ++i < j;) {
- if (xc[i] != yc[i]) {
- return xc[i] > yc[i] ^ xNeg ? 1 : -1;
- }
- }
- // Compare lengths.
- return k == l ? 0 : k > l ^ xNeg ? 1 : -1;
- };
- /*
- * Return a new Big whose value is the value of this Big divided by the
- * value of Big y, rounded, if necessary, to a maximum of Big.DP decimal
- * places using rounding mode Big.RM.
- */
- P.div = function (y) {
- var x = this,
- Big = x.constructor,
- // dividend
- dvd = x.c,
- //divisor
- dvs = (y = new Big(y)).c,
- s = x.s == y.s ? 1 : -1,
- dp = Big.DP;
- if (dp !== ~~dp || dp < 0 || dp > MAX_DP) {
- throwErr('!Big.DP!');
- }
- // Either 0?
- if (!dvd[0] || !dvs[0]) {
- // If both are 0, throw NaN
- if (dvd[0] == dvs[0]) {
- throwErr(NaN);
- }
- // If dvs is 0, throw +-Infinity.
- if (!dvs[0]) {
- throwErr(s / 0);
- }
- // dvd is 0, return +-0.
- return new Big(s * 0);
- }
- var dvsL, dvsT, next, cmp, remI, u,
- dvsZ = dvs.slice(),
- dvdI = dvsL = dvs.length,
- dvdL = dvd.length,
- // remainder
- rem = dvd.slice(0, dvsL),
- remL = rem.length,
- // quotient
- q = y,
- qc = q.c = [],
- qi = 0,
- digits = dp + (q.e = x.e - y.e) + 1;
- q.s = s;
- s = digits < 0 ? 0 : digits;
- // Create version of divisor with leading zero.
- dvsZ.unshift(0);
- // Add zeros to make remainder as long as divisor.
- for (; remL++ < dvsL; rem.push(0)) {
- }
- do {
- // 'next' is how many times the divisor goes into current remainder.
- for (next = 0; next < 10; next++) {
- // Compare divisor and remainder.
- if (dvsL != (remL = rem.length)) {
- cmp = dvsL > remL ? 1 : -1;
- } else {
- for (remI = -1, cmp = 0; ++remI < dvsL;) {
- if (dvs[remI] != rem[remI]) {
- cmp = dvs[remI] > rem[remI] ? 1 : -1;
- break;
- }
- }
- }
- // If divisor < remainder, subtract divisor from remainder.
- if (cmp < 0) {
- // Remainder can't be more than 1 digit longer than divisor.
- // Equalise lengths using divisor with extra leading zero?
- for (dvsT = remL == dvsL ? dvs : dvsZ; remL;) {
- if (rem[--remL] < dvsT[remL]) {
- remI = remL;
- for (; remI && !rem[--remI]; rem[remI] = 9) {
- }
- --rem[remI];
- rem[remL] += 10;
- }
- rem[remL] -= dvsT[remL];
- }
- for (; !rem[0]; rem.shift()) {
- }
- } else {
- break;
- }
- }
- // Add the 'next' digit to the result array.
- qc[qi++] = cmp ? next : ++next;
- // Update the remainder.
- if (rem[0] && cmp) {
- rem[remL] = dvd[dvdI] || 0;
- } else {
- rem = [ dvd[dvdI] ];
- }
- } while ((dvdI++ < dvdL || rem[0] !== u) && s--);
- // Leading zero? Do not remove if result is simply zero (qi == 1).
- if (!qc[0] && qi != 1) {
- // There can't be more than one zero.
- qc.shift();
- q.e--;
- }
- // Round?
- if (qi > digits) {
- rnd(q, dp, Big.RM, rem[0] !== u);
- }
- return q;
- };
- /*
- * Return true if the value of this Big is equal to the value of Big y,
- * otherwise returns false.
- */
- P.eq = function (y) {
- return !this.cmp(y);
- };
- /*
- * Return true if the value of this Big is greater than the value of Big y,
- * otherwise returns false.
- */
- P.gt = function (y) {
- return this.cmp(y) > 0;
- };
- /*
- * Return true if the value of this Big is greater than or equal to the
- * value of Big y, otherwise returns false.
- */
- P.gte = function (y) {
- return this.cmp(y) > -1;
- };
- /*
- * Return true if the value of this Big is less than the value of Big y,
- * otherwise returns false.
- */
- P.lt = function (y) {
- return this.cmp(y) < 0;
- };
- /*
- * Return true if the value of this Big is less than or equal to the value
- * of Big y, otherwise returns false.
- */
- P.lte = function (y) {
- return this.cmp(y) < 1;
- };
- /*
- * Return a new Big whose value is the value of this Big minus the value
- * of Big y.
- */
- P.sub = P.minus = function (y) {
- var i, j, t, xLTy,
- x = this,
- Big = x.constructor,
- a = x.s,
- b = (y = new Big(y)).s;
- // Signs differ?
- if (a != b) {
- y.s = -b;
- return x.plus(y);
- }
- var xc = x.c.slice(),
- xe = x.e,
- yc = y.c,
- ye = y.e;
- // Either zero?
- if (!xc[0] || !yc[0]) {
- // y is non-zero? x is non-zero? Or both are zero.
- return yc[0] ? (y.s = -b, y) : new Big(xc[0] ? x : 0);
- }
- // Determine which is the bigger number.
- // Prepend zeros to equalise exponents.
- if (a = xe - ye) {
- if (xLTy = a < 0) {
- a = -a;
- t = xc;
- } else {
- ye = xe;
- t = yc;
- }
- t.reverse();
- for (b = a; b--; t.push(0)) {
- }
- t.reverse();
- } else {
- // Exponents equal. Check digit by digit.
- j = ((xLTy = xc.length < yc.length) ? xc : yc).length;
- for (a = b = 0; b < j; b++) {
- if (xc[b] != yc[b]) {
- xLTy = xc[b] < yc[b];
- break;
- }
- }
- }
- // x < y? Point xc to the array of the bigger number.
- if (xLTy) {
- t = xc;
- xc = yc;
- yc = t;
- y.s = -y.s;
- }
- /*
- * Append zeros to xc if shorter. No need to add zeros to yc if shorter
- * as subtraction only needs to start at yc.length.
- */
- if (( b = (j = yc.length) - (i = xc.length) ) > 0) {
- for (; b--; xc[i++] = 0) {
- }
- }
- // Subtract yc from xc.
- for (b = i; j > a;){
- if (xc[--j] < yc[j]) {
- for (i = j; i && !xc[--i]; xc[i] = 9) {
- }
- --xc[i];
- xc[j] += 10;
- }
- xc[j] -= yc[j];
- }
- // Remove trailing zeros.
- for (; xc[--b] === 0; xc.pop()) {
- }
- // Remove leading zeros and adjust exponent accordingly.
- for (; xc[0] === 0;) {
- xc.shift();
- --ye;
- }
- if (!xc[0]) {
- // n - n = +0
- y.s = 1;
- // Result must be zero.
- xc = [ye = 0];
- }
- y.c = xc;
- y.e = ye;
- return y;
- };
- /*
- * Return a new Big whose value is the value of this Big modulo the
- * value of Big y.
- */
- P.mod = function (y) {
- var yGTx,
- x = this,
- Big = x.constructor,
- a = x.s,
- b = (y = new Big(y)).s;
- if (!y.c[0]) {
- throwErr(NaN);
- }
- x.s = y.s = 1;
- yGTx = y.cmp(x) == 1;
- x.s = a;
- y.s = b;
- if (yGTx) {
- return new Big(x);
- }
- a = Big.DP;
- b = Big.RM;
- Big.DP = Big.RM = 0;
- x = x.div(y);
- Big.DP = a;
- Big.RM = b;
- return this.minus( x.times(y) );
- };
- /*
- * Return a new Big whose value is the value of this Big plus the value
- * of Big y.
- */
- P.add = P.plus = function (y) {
- var t,
- x = this,
- Big = x.constructor,
- a = x.s,
- b = (y = new Big(y)).s;
- // Signs differ?
- if (a != b) {
- y.s = -b;
- return x.minus(y);
- }
- var xe = x.e,
- xc = x.c,
- ye = y.e,
- yc = y.c;
- // Either zero?
- if (!xc[0] || !yc[0]) {
- // y is non-zero? x is non-zero? Or both are zero.
- return yc[0] ? y : new Big(xc[0] ? x : a * 0);
- }
- xc = xc.slice();
- // Prepend zeros to equalise exponents.
- // Note: Faster to use reverse then do unshifts.
- if (a = xe - ye) {
- if (a > 0) {
- ye = xe;
- t = yc;
- } else {
- a = -a;
- t = xc;
- }
- t.reverse();
- for (; a--; t.push(0)) {
- }
- t.reverse();
- }
- // Point xc to the longer array.
- if (xc.length - yc.length < 0) {
- t = yc;
- yc = xc;
- xc = t;
- }
- a = yc.length;
- /*
- * Only start adding at yc.length - 1 as the further digits of xc can be
- * left as they are.
- */
- for (b = 0; a;) {
- b = (xc[--a] = xc[a] + yc[a] + b) / 10 | 0;
- xc[a] %= 10;
- }
- // No need to check for zero, as +x + +y != 0 && -x + -y != 0
- if (b) {
- xc.unshift(b);
- ++ye;
- }
- // Remove trailing zeros.
- for (a = xc.length; xc[--a] === 0; xc.pop()) {
- }
- y.c = xc;
- y.e = ye;
- return y;
- };
- /*
- * Return a Big whose value is the value of this Big raised to the power n.
- * If n is negative, round, if necessary, to a maximum of Big.DP decimal
- * places using rounding mode Big.RM.
- *
- * n {number} Integer, -MAX_POWER to MAX_POWER inclusive.
- */
- P.pow = function (n) {
- var x = this,
- one = new x.constructor(1),
- y = one,
- isNeg = n < 0;
- if (n !== ~~n || n < -MAX_POWER || n > MAX_POWER) {
- throwErr('!pow!');
- }
- n = isNeg ? -n : n;
- for (;;) {
- if (n & 1) {
- y = y.times(x);
- }
- n >>= 1;
- if (!n) {
- break;
- }
- x = x.times(x);
- }
- return isNeg ? one.div(y) : y;
- };
- /*
- * Return a new Big whose value is the value of this Big rounded to a
- * maximum of dp decimal places using rounding mode rm.
- * If dp is not specified, round to 0 decimal places.
- * If rm is not specified, use Big.RM.
- *
- * [dp] {number} Integer, 0 to MAX_DP inclusive.
- * [rm] 0, 1, 2 or 3 (ROUND_DOWN, ROUND_HALF_UP, ROUND_HALF_EVEN, ROUND_UP)
- */
- P.round = function (dp, rm) {
- var x = this,
- Big = x.constructor;
- if (dp == null) {
- dp = 0;
- } else if (dp !== ~~dp || dp < 0 || dp > MAX_DP) {
- throwErr('!round!');
- }
- rnd(x = new Big(x), dp, rm == null ? Big.RM : rm);
- return x;
- };
- /*
- * Return a new Big whose value is the square root of the value of this Big,
- * rounded, if necessary, to a maximum of Big.DP decimal places using
- * rounding mode Big.RM.
- */
- P.sqrt = function () {
- var estimate, r, approx,
- x = this,
- Big = x.constructor,
- xc = x.c,
- i = x.s,
- e = x.e,
- half = new Big('0.5');
- // Zero?
- if (!xc[0]) {
- return new Big(x);
- }
- // If negative, throw NaN.
- if (i < 0) {
- throwErr(NaN);
- }
- // Estimate.
- i = Math.sqrt(x.toString());
- // Math.sqrt underflow/overflow?
- // Pass x to Math.sqrt as integer, then adjust the result exponent.
- if (i === 0 || i === 1 / 0) {
- estimate = xc.join('');
- if (!(estimate.length + e & 1)) {
- estimate += '0';
- }
- r = new Big( Math.sqrt(estimate).toString() );
- r.e = ((e + 1) / 2 | 0) - (e < 0 || e & 1);
- } else {
- r = new Big(i.toString());
- }
- i = r.e + (Big.DP += 4);
- // Newton-Raphson iteration.
- do {
- approx = r;
- r = half.times( approx.plus( x.div(approx) ) );
- } while ( approx.c.slice(0, i).join('') !==
- r.c.slice(0, i).join('') );
- rnd(r, Big.DP -= 4, Big.RM);
- return r;
- };
- /*
- * Return a new Big whose value is the value of this Big times the value of
- * Big y.
- */
- P.mul = P.times = function (y) {
- var c,
- x = this,
- Big = x.constructor,
- xc = x.c,
- yc = (y = new Big(y)).c,
- a = xc.length,
- b = yc.length,
- i = x.e,
- j = y.e;
- // Determine sign of result.
- y.s = x.s == y.s ? 1 : -1;
- // Return signed 0 if either 0.
- if (!xc[0] || !yc[0]) {
- return new Big(y.s * 0);
- }
- // Initialise exponent of result as x.e + y.e.
- y.e = i + j;
- // If array xc has fewer digits than yc, swap xc and yc, and lengths.
- if (a < b) {
- c = xc;
- xc = yc;
- yc = c;
- j = a;
- a = b;
- b = j;
- }
- // Initialise coefficient array of result with zeros.
- for (c = new Array(j = a + b); j--; c[j] = 0) {
- }
- // Multiply.
- // i is initially xc.length.
- for (i = b; i--;) {
- b = 0;
- // a is yc.length.
- for (j = a + i; j > i;) {
- // Current sum of products at this digit position, plus carry.
- b = c[j] + yc[i] * xc[j - i - 1] + b;
- c[j--] = b % 10;
- // carry
- b = b / 10 | 0;
- }
- c[j] = (c[j] + b) % 10;
- }
- // Increment result exponent if there is a final carry.
- if (b) {
- ++y.e;
- }
- // Remove any leading zero.
- if (!c[0]) {
- c.shift();
- }
- // Remove trailing zeros.
- for (i = c.length; !c[--i]; c.pop()) {
- }
- y.c = c;
- return y;
- };
- /*
- * Return a string representing the value of this Big.
- * Return exponential notation if this Big has a positive exponent equal to
- * or greater than Big.E_POS, or a negative exponent equal to or less than
- * Big.E_NEG.
- */
- P.toString = P.valueOf = P.toJSON = function () {
- var x = this,
- Big = x.constructor,
- e = x.e,
- str = x.c.join(''),
- strL = str.length;
- // Exponential notation?
- if (e <= Big.E_NEG || e >= Big.E_POS) {
- str = str.charAt(0) + (strL > 1 ? '.' + str.slice(1) : '') +
- (e < 0 ? 'e' : 'e+') + e;
- // Negative exponent?
- } else if (e < 0) {
- // Prepend zeros.
- for (; ++e; str = '0' + str) {
- }
- str = '0.' + str;
- // Positive exponent?
- } else if (e > 0) {
- if (++e > strL) {
- // Append zeros.
- for (e -= strL; e-- ; str += '0') {
- }
- } else if (e < strL) {
- str = str.slice(0, e) + '.' + str.slice(e);
- }
- // Exponent zero.
- } else if (strL > 1) {
- str = str.charAt(0) + '.' + str.slice(1);
- }
- // Avoid '-0'
- return x.s < 0 && x.c[0] ? '-' + str : str;
- };
- /*
- ***************************************************************************
- * If toExponential, toFixed, toPrecision and format are not required they
- * can safely be commented-out or deleted. No redundant code will be left.
- * format is used only by toExponential, toFixed and toPrecision.
- ***************************************************************************
- */
- /*
- * Return a string representing the value of this Big in exponential
- * notation to dp fixed decimal places and rounded, if necessary, using
- * Big.RM.
- *
- * [dp] {number} Integer, 0 to MAX_DP inclusive.
- */
- P.toExponential = function (dp) {
- if (dp == null) {
- dp = this.c.length - 1;
- } else if (dp !== ~~dp || dp < 0 || dp > MAX_DP) {
- throwErr('!toExp!');
- }
- return format(this, dp, 1);
- };
- /*
- * Return a string representing the value of this Big in normal notation
- * to dp fixed decimal places and rounded, if necessary, using Big.RM.
- *
- * [dp] {number} Integer, 0 to MAX_DP inclusive.
- */
- P.toFixed = function (dp) {
- var str,
- x = this,
- Big = x.constructor,
- neg = Big.E_NEG,
- pos = Big.E_POS;
- // Prevent the possibility of exponential notation.
- Big.E_NEG = -(Big.E_POS = 1 / 0);
- if (dp == null) {
- str = x.toString();
- } else if (dp === ~~dp && dp >= 0 && dp <= MAX_DP) {
- str = format(x, x.e + dp);
- // (-0).toFixed() is '0', but (-0.1).toFixed() is '-0'.
- // (-0).toFixed(1) is '0.0', but (-0.01).toFixed(1) is '-0.0'.
- if (x.s < 0 && x.c[0] && str.indexOf('-') < 0) {
- //E.g. -0.5 if rounded to -0 will cause toString to omit the minus sign.
- str = '-' + str;
- }
- }
- Big.E_NEG = neg;
- Big.E_POS = pos;
- if (!str) {
- throwErr('!toFix!');
- }
- return str;
- };
- /*
- * Return a string representing the value of this Big rounded to sd
- * significant digits using Big.RM. Use exponential notation if sd is less
- * than the number of digits necessary to represent the integer part of the
- * value in normal notation.
- *
- * sd {number} Integer, 1 to MAX_DP inclusive.
- */
- P.toPrecision = function (sd) {
- if (sd == null) {
- return this.toString();
- } else if (sd !== ~~sd || sd < 1 || sd > MAX_DP) {
- throwErr('!toPre!');
- }
- return format(this, sd - 1, 2);
- };
- // Export
- Big = bigFactory();
- //AMD.
- if (typeof define === 'function' && define.amd) {
- define(function () {
- return Big;
- });
- // Node and other CommonJS-like environments that support module.exports.
- } else if (typeof module !== 'undefined' && module.exports) {
- module.exports = Big;
- module.exports.Big = Big;
- //Browser.
- } else {
- global.Big = Big;
- }
- })(this);
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