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minterjs-util

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(function (global, factory) { typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : typeof define === 'function' && define.amd ? define(['exports'], factory) : (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.minterUtil = {})); })(this, (function (exports) { 'use strict'; /* * big.js v6.2.1 * A small, fast, easy-to-use library for arbitrary-precision decimal arithmetic. * Copyright (c) 2022 Michael Mclaughlin * https://github.com/MikeMcl/big.js/LICENCE.md */ /************************************** EDITABLE DEFAULTS *****************************************/ // The default values below must be integers within the stated ranges. /* * The maximum number of decimal places (DP) 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 (RM) 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 negative exponent (NE) at and beneath which toString returns exponential notation. * (JavaScript numbers: -7) * -1000000 is the minimum recommended exponent value of a Big. */ NE = -7, // 0 to -1000000 /* * The positive exponent (PE) at and above which toString returns exponential notation. * (JavaScript numbers: 21) * 1000000 is the maximum recommended exponent value of a Big, but this limit is not enforced. */ PE = 21, // 0 to 1000000 /* * When true, an error will be thrown if a primitive number is passed to the Big constructor, * or if valueOf is called, or if toNumber is called on a Big which cannot be converted to a * primitive number without a loss of precision. */ STRICT = false, // true or false /**************************************************************************************************/ // Error messages. NAME = '[big.js] ', INVALID = NAME + 'Invalid ', INVALID_DP = INVALID + 'decimal places', INVALID_RM = INVALID + 'rounding mode', DIV_BY_ZERO = NAME + 'Division by zero', // The shared prototype object. P = {}, UNDEFINED = void 0, NUMERIC = /^-?(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i; /* * Create and return a Big constructor. */ function _Big_() { /* * 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 === UNDEFINED ? _Big_() : new Big(n); // Duplicate. if (n instanceof Big) { x.s = n.s; x.e = n.e; x.c = n.c.slice(); } else { if (typeof n !== 'string') { if (Big.strict === true && typeof n !== 'bigint') { throw TypeError(INVALID + 'value'); } // Minus zero? n = n === 0 && 1 / n < 0 ? '-0' : String(n); } parse(x, n); } // Retain a reference to this Big constructor. // Shadow Big.prototype.constructor which points to Object. x.constructor = Big; } Big.prototype = P; Big.DP = DP; Big.RM = RM; Big.NE = NE; Big.PE = PE; Big.strict = STRICT; Big.roundDown = 0; Big.roundHalfUp = 1; Big.roundHalfEven = 2; Big.roundUp = 3; return Big; } /* * 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; if (!NUMERIC.test(n)) { throw Error(INVALID + 'number'); } // 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++); } return x; } /* * Round Big x to a maximum of sd significant digits using rounding mode rm. * * x {Big} The Big to round. * sd {number} Significant digits: integer, 0 to MAX_DP inclusive. * rm {number} Rounding mode: 0 (down), 1 (half-up), 2 (half-even) or 3 (up). * [more] {boolean} Whether the result of division was truncated. */ function round(x, sd, rm, more) { var xc = x.c; if (rm === UNDEFINED) rm = x.constructor.RM; if (rm !== 0 && rm !== 1 && rm !== 2 && rm !== 3) { throw Error(INVALID_RM); } if (sd < 1) { more = rm === 3 && (more || !!xc[0]) || sd === 0 && (rm === 1 && xc[0] >= 5 || rm === 2 && (xc[0] > 5 || xc[0] === 5 && (more || xc[1] !== UNDEFINED))); xc.length = 1; if (more) { // 1, 0.1, 0.01, 0.001, 0.0001 etc. x.e = x.e - sd + 1; xc[0] = 1; } else { // Zero. xc[0] = x.e = 0; } } else if (sd < xc.length) { // xc[sd] is the digit after the digit that may be rounded up. more = rm === 1 && xc[sd] >= 5 || rm === 2 && (xc[sd] > 5 || xc[sd] === 5 && (more || xc[sd + 1] !== UNDEFINED || xc[sd - 1] & 1)) || rm === 3 && (more || !!xc[0]); // Remove any digits after the required precision. xc.length = sd; // Round up? if (more) { // Rounding up may mean the previous digit has to be rounded up. for (; ++xc[--sd] > 9;) { xc[sd] = 0; if (sd === 0) { ++x.e; xc.unshift(1); break; } } } // Remove trailing zeros. for (sd = xc.length; !xc[--sd];) xc.pop(); } return x; } /* * Return a string representing the value of Big x in normal or exponential notation. * Handles P.toExponential, P.toFixed, P.toJSON, P.toPrecision, P.toString and P.valueOf. */ function stringify(x, doExponential, isNonzero) { var e = x.e, s = x.c.join(''), n = s.length; // Exponential notation? if (doExponential) { s = s.charAt(0) + (n > 1 ? '.' + s.slice(1) : '') + (e < 0 ? 'e' : 'e+') + e; // Normal notation. } else if (e < 0) { for (; ++e;) s = '0' + s; s = '0.' + s; } else if (e > 0) { if (++e > n) { for (e -= n; e--;) s += '0'; } else if (e < n) { s = s.slice(0, e) + '.' + s.slice(e); } } else if (n > 1) { s = s.charAt(0) + '.' + s.slice(1); } return x.s < 0 && isNonzero ? '-' + s : s; } // 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 isneg, 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; isneg = i < 0; // Compare exponents. if (k != l) return k > l ^ isneg ? 1 : -1; j = (k = xc.length) < (l = yc.length) ? k : l; // Compare digit by digit. for (i = -1; ++i < j;) { if (xc[i] != yc[i]) return xc[i] > yc[i] ^ isneg ? 1 : -1; } // Compare lengths. return k == l ? 0 : k > l ^ isneg ? 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, a = x.c, // dividend b = (y = new Big(y)).c, // divisor k = x.s == y.s ? 1 : -1, dp = Big.DP; if (dp !== ~~dp || dp < 0 || dp > MAX_DP) { throw Error(INVALID_DP); } // Divisor is zero? if (!b[0]) { throw Error(DIV_BY_ZERO); } // Dividend is 0? Return +-0. if (!a[0]) { y.s = k; y.c = [y.e = 0]; return y; } var bl, bt, n, cmp, ri, bz = b.slice(), ai = bl = b.length, al = a.length, r = a.slice(0, bl), // remainder rl = r.length, q = y, // quotient qc = q.c = [], qi = 0, p = dp + (q.e = x.e - y.e) + 1; // precision of the result q.s = k; k = p < 0 ? 0 : p; // Create version of divisor with leading zero. bz.unshift(0); // Add zeros to make remainder as long as divisor. for (; rl++ < bl;) r.push(0); do { // n is how many times the divisor goes into current remainder. for (n = 0; n < 10; n++) { // Compare divisor and remainder. if (bl != (rl = r.length)) { cmp = bl > rl ? 1 : -1; } else { for (ri = -1, cmp = 0; ++ri < bl;) { if (b[ri] != r[ri]) { cmp = b[ri] > r[ri] ? 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 (bt = rl == bl ? b : bz; rl;) { if (r[--rl] < bt[rl]) { ri = rl; for (; ri && !r[--ri];) r[ri] = 9; --r[ri]; r[rl] += 10; } r[rl] -= bt[rl]; } for (; !r[0];) r.shift(); } else { break; } } // Add the digit n to the result array. qc[qi++] = cmp ? n : ++n; // Update the remainder. if (r[0] && cmp) r[rl] = a[ai] || 0;else r = [a[ai]]; } while ((ai++ < al || r[0] !== UNDEFINED) && k--); // 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--; p--; } // Round? if (qi > p) round(q, p, Big.RM, r[0] !== UNDEFINED); return q; }; /* * Return true if the value of this Big is equal to the value of Big y, otherwise return false. */ P.eq = function (y) { return this.cmp(y) === 0; }; /* * Return true if the value of this Big is greater than the value of Big y, otherwise return * 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 * return 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 return 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 * return 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.minus = P.sub = 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]) { if (yc[0]) { y.s = -b; } else if (xc[0]) { y = new Big(x); } else { y.s = 1; } return y; } // 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]) { throw Error(DIV_BY_ZERO); } 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 negated. */ P.neg = function () { var x = new this.constructor(this); x.s = -x.s; return x; }; /* * Return a new Big whose value is the value of this Big plus the value of Big y. */ P.plus = P.add = function (y) { var e, k, t, x = this, Big = x.constructor; y = new Big(y); // Signs differ? if (x.s != y.s) { y.s = -y.s; return x.minus(y); } var xe = x.e, xc = x.c, ye = y.e, yc = y.c; // Either zero? if (!xc[0] || !yc[0]) { if (!yc[0]) { if (xc[0]) { y = new Big(x); } else { y.s = x.s; } } return y; } xc = xc.slice(); // Prepend zeros to equalise exponents. // Note: reverse faster than unshifts. if (e = xe - ye) { if (e > 0) { ye = xe; t = yc; } else { e = -e; t = xc; } t.reverse(); for (; e--;) t.push(0); t.reverse(); } // Point xc to the longer array. if (xc.length - yc.length < 0) { t = yc; yc = xc; xc = t; } e = yc.length; // Only start adding at yc.length - 1 as the further digits of xc can be left as they are. for (k = 0; e; xc[e] %= 10) k = (xc[--e] = xc[e] + yc[e] + k) / 10 | 0; // No need to check for zero, as +x + +y != 0 && -x + -y != 0 if (k) { xc.unshift(k); ++ye; } // Remove trailing zeros. for (e = xc.length; xc[--e] === 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 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) { throw Error(INVALID + 'exponent'); } if (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 precision of sd * significant digits using rounding mode rm, or Big.RM if rm is not specified. * * sd {number} Significant digits: integer, 1 to MAX_DP inclusive. * rm? {number} Rounding mode: 0 (down), 1 (half-up), 2 (half-even) or 3 (up). */ P.prec = function (sd, rm) { if (sd !== ~~sd || sd < 1 || sd > MAX_DP) { throw Error(INVALID + 'precision'); } return round(new this.constructor(this), sd, rm); }; /* * Return a new Big whose value is the value of this Big rounded to a maximum of dp decimal places * using rounding mode rm, or Big.RM if rm is not specified. * If dp is negative, round to an integer which is a multiple of 10**-dp. * If dp is not specified, round to 0 decimal places. * * dp? {number} Integer, -MAX_DP to MAX_DP inclusive. * rm? {number} Rounding mode: 0 (down), 1 (half-up), 2 (half-even) or 3 (up). */ P.round = function (dp, rm) { if (dp === UNDEFINED) dp = 0;else if (dp !== ~~dp || dp < -MAX_DP || dp > MAX_DP) { throw Error(INVALID_DP); } return round(new this.constructor(this), dp + this.e + 1, rm); }; /* * 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 r, c, t, x = this, Big = x.constructor, s = x.s, e = x.e, half = new Big('0.5'); // Zero? if (!x.c[0]) return new Big(x); // Negative? if (s < 0) { throw Error(NAME + 'No square root'); } // Estimate. s = Math.sqrt(x + ''); // Math.sqrt underflow/overflow? // Re-estimate: pass x coefficient to Math.sqrt as integer, then adjust the result exponent. if (s === 0 || s === 1 / 0) { c = x.c.join(''); if (!(c.length + e & 1)) c += '0'; s = Math.sqrt(c); e = ((e + 1) / 2 | 0) - (e < 0 || e & 1); r = new Big((s == 1 / 0 ? '5e' : (s = s.toExponential()).slice(0, s.indexOf('e') + 1)) + e); } else { r = new Big(s + ''); } e = r.e + (Big.DP += 4); // Newton-Raphson iteration. do { t = r; r = half.times(t.plus(x.div(t))); } while (t.c.slice(0, e).join('') !== r.c.slice(0, e).join('')); return round(r, (Big.DP -= 4) + r.e + 1, Big.RM); }; /* * Return a new Big whose value is the value of this Big times the value of Big y. */ P.times = P.mul = 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]) { y.c = [y.e = 0]; return y; } // 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] = b; } // Increment result exponent if there is a final carry, otherwise remove leading zero. if (b) ++y.e;else 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 in exponential notation rounded to dp fixed * decimal places using rounding mode rm, or Big.RM if rm is not specified. * * dp? {number} Decimal places: integer, 0 to MAX_DP inclusive. * rm? {number} Rounding mode: 0 (down), 1 (half-up), 2 (half-even) or 3 (up). */ P.toExponential = function (dp, rm) { var x = this, n = x.c[0]; if (dp !== UNDEFINED) { if (dp !== ~~dp || dp < 0 || dp > MAX_DP) { throw Error(INVALID_DP); } x = round(new x.constructor(x), ++dp, rm); for (; x.c.length < dp;) x.c.push(0); } return stringify(x, true, !!n); }; /* * Return a string representing the value of this Big in normal notation rounded to dp fixed * decimal places using rounding mode rm, or Big.RM if rm is not specified. * * dp? {number} Decimal places: integer, 0 to MAX_DP inclusive. * rm? {number} Rounding mode: 0 (down), 1 (half-up), 2 (half-even) or 3 (up). * * (-0).toFixed(0) is '0', but (-0.1).toFixed(0) is '-0'. * (-0).toFixed(1) is '0.0', but (-0.01).toFixed(1) is '-0.0'. */ P.toFixed = function (dp, rm) { var x = this, n = x.c[0]; if (dp !== UNDEFINED) { if (dp !== ~~dp || dp < 0 || dp > MAX_DP) { throw Error(INVALID_DP); } x = round(new x.constructor(x), dp + x.e + 1, rm); // x.e may have changed if the value is rounded up. for (dp = dp + x.e + 1; x.c.length < dp;) x.c.push(0); } return stringify(x, false, !!n); }; /* * 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.PE, or a negative exponent equal to or less than Big.NE. * Omit the sign for negative zero. */ P[Symbol["for"]('nodejs.util.inspect.custom')] = P.toJSON = P.toString = function () { var x = this, Big = x.constructor; return stringify(x, x.e <= Big.NE || x.e >= Big.PE, !!x.c[0]); }; /* * Return the value of this Big as a primitve number. */ P.toNumber = function () { var n = Number(stringify(this, true, true)); if (this.constructor.strict === true && !this.eq(n.toString())) { throw Error(NAME + 'Imprecise conversion'); } return n; }; /* * Return a string representing the value of this Big rounded to sd significant digits using * rounding mode rm, or Big.RM if rm is not specified. * 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} Significant digits: integer, 1 to MAX_DP inclusive. * rm? {number} Rounding mode: 0 (down), 1 (half-up), 2 (half-even) or 3 (up). */ P.toPrecision = function (sd, rm) { var x = this, Big = x.constructor, n = x.c[0]; if (sd !== UNDEFINED) { if (sd !== ~~sd || sd < 1 || sd > MAX_DP) { throw Error(INVALID + 'precision'); } x = round(new Big(x), sd, rm); for (; x.c.length < sd;) x.c.push(0); } return stringify(x, sd <= x.e || x.e <= Big.NE || x.e >= Big.PE, !!n); }; /* * 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.PE, or a negative exponent equal to or less than Big.NE. * Include the sign for negative zero. */ P.valueOf = function () { var x = this, Big = x.constructor; if (Big.strict === true) { throw Error(NAME + 'valueOf disallowed'); } return stringify(x, x.e <= Big.NE || x.e >= Big.PE, true); }; // Export var Big = _Big_(); /** * Strip unnecessary last zeros after dot * @param {string|number} num * @param {boolean} [keepEnding] - not strip ending zeros * @return {string|number} */ function stripZeros(num, keepEnding) { if (typeof num === 'string') { if (!keepEnding && num.indexOf('.') !== -1) { if (!/[eE]/.test(num)) { // strip ending zeros num = num.replace(/\.?0*$/, ''); } else { // strip ending zeros in exponential notation num = num.replace(/\.?0*(?=[eE])/, ''); } } // strip leading zeros num = num.replace(/^0+(?!\.)(?!$)/, ''); } return num; } var BIG_ROUND_DOWN = 0; var BIG_ROUND_HALF_EVEN = 2; var BIG_ROUND_UP = 3; // support division of 15 whole digits and 18 decimal var COMPUTATION_PRECISION = 15 + 18 + 1; // minter node precision is 34 var VISIBLE_PRECISION = 18; // set defaults // precision Big.DP = COMPUTATION_PRECISION; // ROUND_HALF_EVEN (same as in minter-node) Big.RM = BIG_ROUND_HALF_EVEN; // fix toString method, by default toFixed doesn't consider global Big.DP value Big.prototype.toString = function toString() { var dp = arguments.length > 0 && arguments[0] !== undefined ? arguments[0] : VISIBLE_PRECISION; var rm = arguments.length > 1 && arguments[1] !== undefined ? arguments[1] : Big.RM; return stripZeros(this.toFixed(dp, rm)); }; var global$1 = typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {}; var lookup = []; var revLookup = []; var Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array; var inited = false; function init() { inited = true; var code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'; for (var i = 0, len = code.length; i < len; ++i) { lookup[i] = code[i]; revLookup[code.charCodeAt(i)] = i; } revLookup['-'.charCodeAt(0)] = 62; revLookup['_'.charCodeAt(0)] = 63; } function toByteArray(b64) { if (!inited) { init(); } var i, j, l, tmp, placeHolders, arr; var len = b64.length; if (len % 4 > 0) { throw new Error('Invalid string. Length must be a multiple of 4'); } // the number of equal signs (place holders) // if there are two placeholders, than the two characters before it // represent one byte // if there is only one, then the three characters before it represent 2 bytes // this is just a cheap hack to not do indexOf twice placeHolders = b64[len - 2] === '=' ? 2 : b64[len - 1] === '=' ? 1 : 0; // base64 is 4/3 + up to two characters of the original data arr = new Arr(len * 3 / 4 - placeHolders); // if there are placeholders, only get up to the last complete 4 chars l = placeHolders > 0 ? len - 4 : len; var L = 0; for (i = 0, j = 0; i < l; i += 4, j += 3) { tmp = revLookup[b64.charCodeAt(i)] << 18 | revLookup[b64.charCodeAt(i + 1)] << 12 | revLookup[b64.charCodeAt(i + 2)] << 6 | revLookup[b64.charCodeAt(i + 3)]; arr[L++] = tmp >> 16 & 0xFF; arr[L++] = tmp >> 8 & 0xFF; arr[L++] = tmp & 0xFF; } if (placeHolders === 2) { tmp = revLookup[b64.charCodeAt(i)] << 2 | revLookup[b64.charCodeAt(i + 1)] >> 4; arr[L++] = tmp & 0xFF; } else if (placeHolders === 1) { tmp = revLookup[b64.charCodeAt(i)] << 10 | revLookup[b64.charCodeAt(i + 1)] << 4 | revLookup[b64.charCodeAt(i + 2)] >> 2; arr[L++] = tmp >> 8 & 0xFF; arr[L++] = tmp & 0xFF; } return arr; } function tripletToBase64(num) { return lookup[num >> 18 & 0x3F] + lookup[num >> 12 & 0x3F] + lookup[num >> 6 & 0x3F] + lookup[num & 0x3F]; } function encodeChunk(uint8, start, end) { var tmp; var output = []; for (var i = start; i < end; i += 3) { tmp = (uint8[i] << 16) + (uint8[i + 1] << 8) + uint8[i + 2]; output.push(tripletToBase64(tmp)); } return output.join(''); } function fromByteArray(uint8) { if (!inited) { init(); } var tmp; var len = uint8.length; var extraBytes = len % 3; // if we have 1 byte left, pad 2 bytes var output = ''; var parts = []; var maxChunkLength = 16383; // must be multiple of 3 // go through the array every three bytes, we'll deal with trailing stuff later for (var i = 0, len2 = len - extraBytes; i < len2; i += maxChunkLength) { parts.push(encodeChunk(uint8, i, i + maxChunkLength > len2 ? len2 : i + maxChunkLength)); } // pad the end with zeros, but make sure to not forget the extra bytes if (extraBytes === 1) { tmp = uint8[len - 1]; output += lookup[tmp >> 2]; output += lookup[tmp << 4 & 0x3F]; output += '=='; } else if (extraBytes === 2) { tmp = (uint8[len - 2] << 8) + uint8[len - 1]; output += lookup[tmp >> 10]; output += lookup[tmp >> 4 & 0x3F]; output += lookup[tmp << 2 & 0x3F]; output += '='; } parts.push(output); return parts.join(''); } function read(buffer, offset, isLE, mLen, nBytes) { var e, m; var eLen = nBytes * 8 - mLen - 1; var eMax = (1 << eLen) - 1; var eBias = eMax >> 1; var nBits = -7; var i = isLE ? nBytes - 1 : 0; var d = isLE ? -1 : 1; var s = buffer[offset + i]; i += d; e = s & (1 << -nBits) - 1; s >>= -nBits; nBits += eLen; for (; nBits > 0; e = e * 256 + buffer[offset + i], i += d, nBits -= 8) {} m = e & (1 << -nBits) - 1; e >>= -nBits; nBits += mLen; for (; nBits > 0; m = m * 256 + buffer[offset + i], i += d, nBits -= 8) {} if (e === 0) { e = 1 - eBias; } else if (e === eMax) { return m ? NaN : (s ? -1 : 1) * Infinity; } else { m = m + Math.pow(2, mLen); e = e - eBias; } return (s ? -1 : 1) * m * Math.pow(2, e - mLen); } function write(buffer, value, offset, isLE, mLen, nBytes) { var e, m, c; var eLen = nBytes * 8 - mLen - 1; var eMax = (1 << eLen) - 1; var eBias = eMax >> 1; var rt = mLen === 23 ? Math.pow(2, -24) - Math.pow(2, -77) : 0; var i = isLE ? 0 : nBytes - 1; var d = isLE ? 1 : -1; var s = value < 0 || value === 0 && 1 / value < 0 ? 1 : 0; value = Math.abs(value); if (isNaN(value) || value === Infinity) { m = isNaN(value) ? 1 : 0; e = eMax; } else { e = Math.floor(Math.log(value) / Math.LN2); if (value * (c = Math.pow(2, -e)) < 1) { e--; c *= 2; } if (e + eBias >= 1) { value += rt / c; } else { value += rt * Math.pow(2, 1 - eBias); } if (value * c >= 2) { e++; c /= 2; } if (e + eBias >= eMax) { m = 0; e = eMax; } else if (e + eBias >= 1) { m = (value * c - 1) * Math.pow(2, mLen); e = e + eBias; } else { m = value * Math.pow(2, eBias - 1) * Math.pow(2, mLen); e = 0; } } for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {} e = e << mLen | m; eLen += mLen; for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {} buffer[offset + i - d] |= s * 128; } var toString = {}.toString; var isArray$1 = Array.isArray || function (arr) { return toString.call(arr) == '[object Array]'; }; var INSPECT_MAX_BYTES = 50; /** * If `Buffer.TYPED_ARRAY_SUPPORT`: * === true Use Uint8Array implementation (fastest) * === false Use Object implementation (most compatible, even IE6) * * Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+, * Opera 11.6+, iOS 4.2+. * * Due to various browser bugs, sometimes the Object implementation will be used even * when the browser supports typed arrays. * * Note: * * - Firefox 4-29 lacks support for adding new properties to `Uint8Array` instances, * See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438. * * - Chrome 9-10 is missing the `TypedArray.prototype.subarray` function. * * - IE10 has a broken `TypedArray.prototype.subarray` function which returns arrays of * incorrect length in some situations. * We detect these buggy browsers and set `Buffer.TYPED_ARRAY_SUPPORT` to `false` so they * get the Object implementation, which is slower but behaves correctly. */ Buffer$c.TYPED_ARRAY_SUPPORT = global$1.TYPED_ARRAY_SUPPORT !== undefined ? global$1.TYPED_ARRAY_SUPPORT : true; /* * Export kMaxLength after typed array support is determined. */ var _kMaxLength = kMaxLength(); function kMaxLength() { return Buffer$c.TYPED_ARRAY_SUPPORT ? 0x7fffffff : 0x3fffffff; } function createBuffer(that, length) { if (kMaxLength() < length) { throw new RangeError('Invalid typed array length'); } if (Buffer$c.TYPED_ARRAY_SUPPORT) { // Return an augmented `Uint8Array` instance, for best performance that = new Uint8Array(length); that.__proto__ = Buffer$c.prototype; } else { // Fallback: Return an object instance of the Buffer class if (that === null) { that = new Buffer$c(length); } that.length = length; } return that; } /** * The Buffer constructor returns instances of `Uint8Array` that have their * prototype changed to `Buffer.prototype`. Furthermore, `Buffer` is a subclass of * `Uint8Array`, so the returned instances will have all the node `Buffer` methods * and the `Uint8Array` methods. Square bracket notation works as expected -- it * returns a single octet. * * The `Uint8Array` prototype remains unmodified. */ function Buffer$c(arg, encodingOrOffset, length) { if (!Buffer$c.TYPED_ARRAY_SUPPORT && !(this instanceof Buffer$c)) { return new Buffer$c(arg, encodingOrOffset, length); } // Common case. if (typeof arg === 'number') { if (typeof encodingOrOffset === 'string') { throw new Error('If encoding is specified then the first argument must be a string'); } return allocUnsafe(this, arg); } return from(this, arg, encodingOrOffset, length); } Buffer$c.poolSize = 8192; // not used by this implementation // TODO: Legacy, not needed anymore. Remove in next major version. Buffer$c._augment = function (arr) { arr.__proto__ = Buffer$c.prototype; return arr; }; function from(that, value, encodingOrOffset, length) { if (typeof value === 'number') { throw new TypeError('"value" argument must not be a number'); } if (typeof ArrayBuffer !== 'undefined' && value instanceof ArrayBuffer) { return fromArrayBuffer(that, value, encodingOrOffset, length); } if (typeof value === 'string') { return fromString(that, value, encodingOrOffset); } return fromObject(that, value); } /** * Functionally equivalent to Buffer(arg, encoding) but throws a TypeError * if value is a number. * Buffer.from(str[, encoding]) * Buffer.from(array) * Buffer.from(buffer) * Buffer.from(arrayBuffer[, byteOffset[, length]]) **/ Buffer$c.from = function (value, encodingOrOffset, length) { return from(null, value, encodingOrOffset, length); }; if (Buffer$c.TYPED_ARRAY_SUPPORT) { Buffer$c.prototype.__proto__ = Uint8Array.prototype; Buffer$c.__proto__ = Uint8Array; if (typeof Symbol !== 'undefined' && Symbol.species && Buffer$c[Symbol.species] === Buffer$c) ; } function assertSize(size) { if (typeof size !== 'number') { throw new TypeError('"size" argument must be a number'); } else if (size < 0) { throw new RangeError('"size" argument must not be negative'); } } function alloc(that, size, fill, encoding) { assertSize(size); if (size <= 0) { return createBuffer(that, size); } if (fill !== undefined) { // Only pay attention to encoding if it's a string. This // prevents accidentally sending in a number that would // be interpretted as a start offset. return typeof encoding === 'string' ? createBuffer(that, size).fill(fill, encoding) : createBuffer(that, size).fill(fill); } return createBuffer(that, size); } /** * Creates a new filled Buffer instance. * alloc(size[, fill[, encoding]]) **/ Buffer$c.alloc = function (size, fill, encoding) { return alloc(null, size, fill, encoding); }; function allocUnsafe(that, size) { assertSize(size); that = createBuffer(that, size < 0 ? 0 : checked(size) | 0); if (!Buffer$c.TYPED_ARRAY_SUPPORT) { for (var i = 0; i < size; ++i) { that[i] = 0; } } return that; } /** * Equivalent to Buffer(num), by default creates a non-zero-filled Buffer instance. * */ Buffer$c.allocUnsafe = function (size) { return allocUnsafe(null, size); }; /** * Equivalent to SlowBuffer(num), by default creates a non-zero-filled Buffer instance. */ Buffer$c.allocUnsafeSlow = function (size) { return allocUnsafe(null, size); }; function fromString(that, string, encoding) { if (typeof encoding !== 'string' || encoding === '') { encoding = 'utf8'; } if (!Buffer$c.isEncoding(encoding)) { throw new TypeError('"encoding" must be a valid string encoding'); } var length = byteLength(string, encoding) | 0; that = createBuffer(that, length); var actual = that.write(string, encoding); if (actual !== length) { // Writing a hex string, for example, that contains invalid characters will // cause everything after the first invalid character to be ignored. (e.g. // 'abxxcd' will be treated as 'ab') that = that.slice(0, actual); } return that; } function fromArrayLike(that, array) { var length = array.length < 0 ? 0 : checked(array.length) | 0; that = createBuffer(that, length); for (var i = 0; i < length; i += 1) { that[i] = array[i] & 255; } return that; } function fromArrayBuffer(that, array, byteOffset, length) { array.byteLength; // this throws if `array` is not a valid ArrayBuffer if (byteOffset < 0 || array.byteLength < byteOffset) { throw new RangeError('\'offset\' is out of bounds'); } if (array.byteLength < byteOffset + (length || 0)) { throw new RangeError('\'length\' is out of bounds'); } if (byteOffset === undefined && length === undefined) { array = new Uint8Array(array); } else if (length === undefined) { array = new Uint8Array(array, byteOffset); } else { array = new Uint8Array(array, byteOffset, length); } if (Buffer$c.TYPED_ARRAY_SUPPORT) { // Return an augmented `Uint8Array` instance, for best performance that = array; that.__proto__ = Buffer$c.prototype; } else { // Fallback: Return an object instance of the Buffer class that = fromArrayLike(that, array); } return that; } function fromObject(that, obj) { if (internalIsBuffer(obj)) { var len = checked(obj.length) | 0; that = createBuffer(that, len); if (that.length === 0) { return that; } obj.copy(that, 0, 0, len); return that; } if (obj) { if (typeof ArrayBuffer !== 'undefined' && obj.buffer instanceof ArrayBuffer || 'length' in obj) { if (typeof obj.length !== 'number' || isnan(obj.length)) { return createBuffer(that, 0); } return fromArrayLike(that, obj); } if (obj.type === 'Buffer' && isArray$1(obj.data)) { return fromArrayLike(that, obj.data); } } throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.'); } function checked(length) { // Note: cannot use `length < kMaxLength()` here because that fails when // length is NaN (which is otherwise coerced to zero.) if (length >= kMaxLength()) { throw new RangeError('Attempt to allocate Buffer larger than maximum ' + 'size: 0x' + kMaxLength().toString(16) + ' bytes'); } return length | 0; } function SlowBuffer(length) { if (+length != length) { // eslint-disable-line eqeqeq length = 0; } return Buffer$c.alloc(+length); } Buffer$c.isBuffer = isBuffer$1; function internalIsBuffer(b) { return isBuffer$1(b); } Buffer$c.compare = function compare(a, b) { if (!internalIsBuffer(a) || !internalIsBuffer(b)) { throw new TypeError('Arguments must be Buffers'); } if (a === b) return 0; var x = a.length; var y = b.length; for (var i = 0, len = Math.min(x, y); i < len; ++i) { if (a[i] !== b[i]) { x = a[i]; y = b[i]; break; } } if (x < y) return -1; if (y < x) return 1; return 0; }; Buffer$c.isEncoding = function isEncoding(encoding) { switch (String(encoding).toLowerCase()) { case 'hex': case 'utf8': case 'utf-8': case 'ascii': case 'latin1': case 'binary': case 'base64': case 'ucs2': case 'ucs-2': case 'utf16le': case 'utf-16le': return true; default: return false; } }; Buffer$c.concat = function concat(list, length) { if (!isArray$1(list)) { throw new TypeError('"list" argument must be an Array of Buffers'); } if (list.length === 0) { return Buffer$c.alloc(0); } var i; if (length === undefined) { length = 0; for (i = 0; i < list.length; ++i) { length += list[i].length; } } var buffer = Buffer$c.allocUnsafe(length); var pos = 0; for (i = 0; i < list.length; ++i) { var buf = list[i]; if (!internalIsBuffer(buf)) { throw new TypeError('"list" argument must be an Array of Buffers'); } buf.copy(buffer, pos); pos += buf.length; } return buffer; }; function byteLength(string, encoding) { if (internalIsBuffer(string)) { return string.length; } if (typeof ArrayBuffer !== 'undefined' && typeof ArrayBuffer.isView === 'function' && (ArrayBuffer.isView(string) || string instanceof ArrayBuffer)) { return string.byteLength; } if (typeof string !== 'string') { string = '' + string; } var len = string.length; if (len === 0) return 0; // Use a for loop to avoid recursion var loweredCase = false; for (;;) { switch (encoding) { case 'ascii': case 'latin1': case 'binary': return len; case 'utf8': case 'utf-8': case undefined: return utf8ToBytes(string).length; case 'ucs2': case 'ucs-2': case 'utf16le': case 'utf-16le': return len * 2; case 'hex': return len >>> 1; case 'base64': return base64ToBytes(string).length; default: if (loweredCase) return utf8ToBytes(string).length; // assume utf8 encoding = ('' + encoding).toLowerCase(); loweredCase = true; } } } Buffer$c.byteLength = byteLength; function slowToString(encoding, start, end) { var loweredCase = false; // No need to verify that "this.length <= MAX_UINT32" since it's a read-only // property of a typed array. // This behaves neither like String nor Uint8Array in that we set start/end // to their upper/lower bounds if the value passed is out of range. // undefined is handled specially as per ECMA-262 6th Edition, // Section 13.3.3.7 Runtime Semantics: KeyedBindingInitialization. if (start === undefined || start < 0) { start = 0; } // Return early if start > this.length. Done here to prevent potential uint32 // coercion fail below. if (start > this.length) { return ''; } if (end === undefined || end > this.length) { end = this.length; } if (end <= 0) { return ''; } // Force coersion to uint32. This will also coerce falsey/NaN values to 0. end >>>= 0; start >>>= 0; if (end <= start) { return ''; } if (!encoding) encoding = 'utf8'; while (true) { switch (encoding) { case 'hex': return hexSlice(this, start, end); case 'utf8': case 'utf-8': return utf8Slice(this, start, end); case 'ascii': return asciiSlice(this, start, end); case 'latin1': case 'binary': return latin1Slice(this, start, end); case 'base64': return base64Slice(this, start, end); case 'ucs2': case 'ucs-2': case 'utf16le': case 'utf-16le': return utf16leSlice(this, start, end); default: if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding); encoding = (encoding + '').toLowerCase(); loweredCase = true; } } } // The property is used by `Buffer.isBuffer` and `is-buffer` (in Safari 5-7) to detect // Buffer instances. Buffer$c.prototype._isBuffer = true; function swap(b, n, m) { var i = b[n]; b[n] = b[m]; b[m] = i; } Buffer$c.prototype.swap16 = function swap16() { var len = this.length; if (len % 2 !== 0) { throw new RangeError('Buffer size must be a multiple of 16-bits'); } for (var i = 0; i < len; i += 2) { swap(this, i, i + 1); } return this; }; Buffer$c.prototype.swap32 = function swap32() { var len = this.length; if (len % 4 !== 0) { throw new RangeError('Buffer size must be a multiple of 32-bits'); } for (var i = 0; i < len; i += 4) { swap(this, i, i + 3); swap(this, i + 1, i + 2); } return this; }; Buffer$c.prototype.swap64 = function swap64() { var len = this.length; if (len % 8 !== 0) { throw new RangeError('Buffer size must be a multiple of 64-bits'); } for (var i = 0; i < len; i += 8) { swap(this, i, i + 7); swap(this, i + 1, i + 6); swap(this, i + 2, i + 5); swap(this, i + 3, i + 4); } return this; }; Buffer$c.prototype.toString = function toString() { var length = this.length | 0; if (length === 0) return ''; if (arguments.length === 0) return utf8Slice(this, 0, length); return slowToString.apply(this, arguments); }; Buffer$c.prototype.equals = function equals(b) { if (!internalIsBuffer(b)) throw new TypeError('Argument must be a Buffer'); if (this === b) return true; return Buffer$c.compare(this, b) === 0; }; Buffer$c.prototype.inspect = function inspect() { var str = ''; var max = INSPECT_MAX_BYTES; if (this.length > 0) { str = this.toString('hex', 0, max).match(/.{2}/g).join(' '); if (this.length > max) str += ' ... '; } return '<Buffer ' + str + '>'; }; Buffer$c.prototype.compare = function compare(target, start, end, thisStart, thisEnd) { if (!internalIsBuffer(target)) { throw new TypeError('Argument must be a Buffer'); } if (start === undefined) { start = 0; } if (end === undefined) { end = target ? target.length : 0; } if (thisStart === undefined) { thisStart = 0; } if (thisEnd === undefined) { thisEnd = this.length; } if (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) { throw new RangeError('out of range index'); } if (thisStart >= thisEnd && start >= end) { return 0; } if (thisStart >= thisEnd) { return -1; } if (start >= end) { return 1; } start >>>= 0; end >>>= 0; thisStart >>>= 0; thisEnd >>>= 0; if (this === target) return 0; var x = thisEnd - thisStart; var y = end - start; var len = Math.min(x, y); var thisCopy = this.slice(thisStart, thisEnd); var targetCopy = target.slice(start, end); for (var i = 0; i < len; ++i) { if (thisCopy[i] !== targetCopy[i]) { x = thisCopy[i]; y = targetCopy[i]; break; } } if (x < y) return -1; if (y < x) return 1; return 0; }; // Finds either the first index of `val` in `buffer` at offset >= `byteOffset`, // OR the last index of `val` in `buffer` at offset <= `byteOffset`. // // Arguments: // - buffer - a Buffer to search // - val - a string, Buffer, or number // - byteOffset - an index into `buffer`; will be clamped to an int32 // - encoding - an optional encoding, relevant is val is a string // - dir - true for indexOf, false for lastIndexOf function bidirectionalIndexOf(buffer, val, byteOffset, encoding, dir) { // Empty buffer means no match if (buffer.length === 0) return -1; // Normalize byteOffset if (typeof byteOffset === 'string') { encoding = byteOffset; byteOffset = 0; } else if (byteOffset > 0x7fffffff) { byteOffset = 0x7fffffff; } else if (by