UNPKG

numbro

Version:

Format and manipulate numbers.

5,473 lines 177 kB
(function (global, factory) {
	typeof exports === 'object' && typeof module !== 'undefined' ? module.exports = factory() :
	typeof define === 'function' && define.amd ? define(factory) :
	(global = typeof globalThis !== 'undefined' ? globalThis : global || self, global.numbro = factory());
})(this, (function () { 'use strict';

	var commonjsGlobal = typeof globalThis !== 'undefined' ? globalThis : typeof window !== 'undefined' ? window : typeof global !== 'undefined' ? global : typeof self !== 'undefined' ? self : {};

	function getDefaultExportFromCjs (x) {
		return x && x.__esModule && Object.prototype.hasOwnProperty.call(x, 'default') ? x['default'] : x;
	}

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	var enUS;
	var hasRequiredEnUS;

	function requireEnUS () {
		if (hasRequiredEnUS) return enUS;
		hasRequiredEnUS = 1;
		enUS = {
		    languageTag: "en-US",
		    delimiters: {
		        thousands: ",",
		        decimal: "."
		    },
		    abbreviations: {
		        thousand: "k",
		        million: "m",
		        billion: "b",
		        trillion: "t"
		    },
		    spaceSeparated: false,
		    ordinal: function(number) {
		        let b = number % 10;
		        return (~~(number % 100 / 10) === 1) ? "th" : (b === 1) ? "st" : (b === 2) ? "nd" : (b === 3) ? "rd" : "th";
		    },
		    bytes: {
		        binarySuffixes: ["B", "KiB", "MiB", "GiB", "TiB", "PiB", "EiB", "ZiB", "YiB"],
		        decimalSuffixes: ["B", "KB", "MB", "GB", "TB", "PB", "EB", "ZB", "YB"]
		    },
		    currency: {
		        symbol: "$",
		        position: "prefix",
		        code: "USD"
		    },
		    currencyFormat: {
		        thousandSeparated: true,
		        totalLength: 4,
		        spaceSeparated: true,
		        spaceSeparatedCurrency: true
		    },
		    formats: {
		        fourDigits: {
		            totalLength: 4,
		            spaceSeparated: true
		        },
		        fullWithTwoDecimals: {
		            output: "currency",
		            thousandSeparated: true,
		            mantissa: 2
		        },
		        fullWithTwoDecimalsNoCurrency: {
		            thousandSeparated: true,
		            mantissa: 2
		        },
		        fullWithNoDecimals: {
		            output: "currency",
		            thousandSeparated: true,
		            mantissa: 0
		        }
		    }
		};
		return enUS;
	}

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	var unformatting;
	var hasRequiredUnformatting;

	function requireUnformatting () {
		if (hasRequiredUnformatting) return unformatting;
		hasRequiredUnformatting = 1;
		const allSuffixes = [
		    {key: "ZiB", factor: Math.pow(1024, 7)},
		    {key: "ZB", factor: Math.pow(1000, 7)},
		    {key: "YiB", factor: Math.pow(1024, 8)},
		    {key: "YB", factor: Math.pow(1000, 8)},
		    {key: "TiB", factor: Math.pow(1024, 4)},
		    {key: "TB", factor: Math.pow(1000, 4)},
		    {key: "PiB", factor: Math.pow(1024, 5)},
		    {key: "PB", factor: Math.pow(1000, 5)},
		    {key: "MiB", factor: Math.pow(1024, 2)},
		    {key: "MB", factor: Math.pow(1000, 2)},
		    {key: "KiB", factor: Math.pow(1024, 1)},
		    {key: "KB", factor: Math.pow(1000, 1)},
		    {key: "GiB", factor: Math.pow(1024, 3)},
		    {key: "GB", factor: Math.pow(1000, 3)},
		    {key: "EiB", factor: Math.pow(1024, 6)},
		    {key: "EB", factor: Math.pow(1000, 6)},
		    {key: "B", factor: 1}
		];

		/**
		 * Generate a RegExp where S get all RegExp specific characters escaped.
		 *
		 * @param {string} s - string representing a RegExp
		 * @return {string}
		 */
		function escapeRegExp(s) {
		    return s.replace(/[-/\\^$*+?.()|[\]{}]/g, "\\$&");
		}

		/**
		 * Recursively compute the unformatted value.
		 *
		 * @param {string} inputString - string to unformat
		 * @param {*} delimiters - Delimiters used to generate the inputString
		 * @param {string} [currencySymbol] - symbol used for currency while generating the inputString
		 * @param {function} ordinal - function used to generate an ordinal out of a number
		 * @param {string} zeroFormat - string representing zero
		 * @param {*} abbreviations - abbreviations used while generating the inputString
		 * @param {NumbroFormat} format - format used while generating the inputString
		 * @return {number|undefined}
		 */
		function computeUnformattedValue(inputString, delimiters, currencySymbol, ordinal, zeroFormat, abbreviations, format) {
		    if (!isNaN(+inputString)) {
		        return +inputString;
		    }

		    let stripped = "";
		    // Negative

		    let newInput = inputString.replace(/(^[^(]*)\((.*)\)([^)]*$)/, "$1$2$3");

		    if (newInput !== inputString) {
		        return -1 * computeUnformattedValue(newInput, delimiters, currencySymbol, ordinal, zeroFormat, abbreviations);
		    }

		    // Byte

		    for (let i = 0; i < allSuffixes.length; i++) {
		        let suffix = allSuffixes[i];
		        stripped = inputString.replace(RegExp(`([0-9 ])(${suffix.key})$`), "$1");

		        if (stripped !== inputString) {
		            return computeUnformattedValue(stripped, delimiters, currencySymbol, ordinal, zeroFormat, abbreviations) * suffix.factor;
		        }
		    }

		    // Percent

		    stripped = inputString.replace("%", "");

		    if (stripped !== inputString) {
		        return computeUnformattedValue(stripped, delimiters, currencySymbol, ordinal, zeroFormat, abbreviations) / 100;
		    }

		    // Ordinal

		    let possibleOrdinalValue = parseFloat(inputString);

		    if (isNaN(possibleOrdinalValue)) {
		        return undefined;
		    }

		    let ordinalString = ordinal(possibleOrdinalValue);
		    if (ordinalString && ordinalString !== ".") { // if ordinal is "." it will be caught next round in the +inputString
		        stripped = inputString.replace(new RegExp(`${escapeRegExp(ordinalString)}$`), "");

		        if (stripped !== inputString) {
		            return computeUnformattedValue(stripped, delimiters, currencySymbol, ordinal, zeroFormat, abbreviations);
		        }
		    }

		    // Average

		    let inversedAbbreviations = {};
		    Object.keys(abbreviations).forEach((key) => {
		        inversedAbbreviations[abbreviations[key]] = key;
		    });

		    let abbreviationValues = Object.keys(inversedAbbreviations).sort().reverse();
		    let numberOfAbbreviations = abbreviationValues.length;

		    for (let i = 0; i < numberOfAbbreviations; i++) {
		        let value = abbreviationValues[i];
		        let key = inversedAbbreviations[value];

		        stripped = inputString.replace(value, "");
		        if (stripped !== inputString) {
		            let factor = undefined;
		            switch (key) { // eslint-disable-line default-case
		                case "thousand":
		                    factor = Math.pow(10, 3);
		                    break;
		                case "million":
		                    factor = Math.pow(10, 6);
		                    break;
		                case "billion":
		                    factor = Math.pow(10, 9);
		                    break;
		                case "trillion":
		                    factor = Math.pow(10, 12);
		                    break;
		            }
		            return computeUnformattedValue(stripped, delimiters, currencySymbol, ordinal, zeroFormat, abbreviations) * factor;
		        }
		    }

		    return undefined;
		}

		/**
		 * Removes in one pass all formatting symbols.
		 *
		 * @param {string} inputString - string to unformat
		 * @param {*} delimiters - Delimiters used to generate the inputString
		 * @param {string} [currencySymbol] - symbol used for currency while generating the inputString
		 * @return {string}
		 */
		function removeFormattingSymbols(inputString, delimiters, currencySymbol) {
		    // Currency

		    let stripped = inputString.replace(currencySymbol, "");

		    // Thousand separators

		    stripped = stripped.replace(new RegExp(`([0-9])${escapeRegExp(delimiters.thousands)}([0-9])`, "g"), "$1$2");

		    // Decimal

		    stripped = stripped.replace(delimiters.decimal, ".");

		    return stripped;
		}

		/**
		 * Unformat a numbro-generated string to retrieve the original value.
		 *
		 * @param {string} inputString - string to unformat
		 * @param {*} delimiters - Delimiters used to generate the inputString
		 * @param {string} [currencySymbol] - symbol used for currency while generating the inputString
		 * @param {function} ordinal - function used to generate an ordinal out of a number
		 * @param {string} zeroFormat - string representing zero
		 * @param {*} abbreviations - abbreviations used while generating the inputString
		 * @param {NumbroFormat} format - format used while generating the inputString
		 * @return {number|undefined}
		 */
		function unformatValue(inputString, delimiters, currencySymbol = "", ordinal, zeroFormat, abbreviations, format) {
		    if (inputString === "") {
		        return undefined;
		    }

		    // Zero Format

		    if (inputString === zeroFormat) {
		        return 0;
		    }

		    let value = removeFormattingSymbols(inputString, delimiters, currencySymbol);
		    return computeUnformattedValue(value, delimiters, currencySymbol, ordinal, zeroFormat, abbreviations);
		}

		/**
		 * Check if the INPUTSTRING represents a time.
		 *
		 * @param {string} inputString - string to check
		 * @param {*} delimiters - Delimiters used while generating the inputString
		 * @return {boolean}
		 */
		function matchesTime(inputString, delimiters) {
		    let separators = inputString.indexOf(":") && delimiters.thousands !== ":";

		    if (!separators) {
		        return false;
		    }

		    let segments = inputString.split(":");
		    if (segments.length !== 3) {
		        return false;
		    }

		    let hours = +segments[0];
		    let minutes = +segments[1];
		    let seconds = +segments[2];

		    return !isNaN(hours) && !isNaN(minutes) && !isNaN(seconds);
		}

		/**
		 * Unformat a numbro-generated string representing a time to retrieve the original value.
		 *
		 * @param {string} inputString - string to unformat
		 * @return {number}
		 */
		function unformatTime(inputString) {
		    let segments = inputString.split(":");

		    let hours = +segments[0];
		    let minutes = +segments[1];
		    let seconds = +segments[2];

		    return seconds + 60 * minutes + 3600 * hours;
		}

		/**
		 * Unformat a numbro-generated string to retrieve the original value.
		 *
		 * @param {string} inputString - string to unformat
		 * @param {NumbroFormat} format - format used  while generating the inputString
		 * @return {number}
		 */
		function unformat(inputString, format) {
		    // Avoid circular references
		    const globalState = requireGlobalState();

		    let delimiters = globalState.currentDelimiters();
		    let currencySymbol = globalState.currentCurrency().symbol;
		    let ordinal = globalState.currentOrdinal();
		    let zeroFormat = globalState.getZeroFormat();
		    let abbreviations = globalState.currentAbbreviations();

		    let value = undefined;

		    if (typeof inputString === "string") {
		        if (matchesTime(inputString, delimiters)) {
		            value = unformatTime(inputString);
		        } else {
		            value = unformatValue(inputString, delimiters, currencySymbol, ordinal, zeroFormat, abbreviations);
		        }
		    } else if (typeof inputString === "number") {
		        value = inputString;
		    } else {
		        return undefined;
		    }

		    if (value === undefined) {
		        return undefined;
		    }

		    return value;
		}

		unformatting = {
		    unformat
		};
		return unformatting;
	}

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	var validating$1;
	var hasRequiredValidating;

	function requireValidating () {
		if (hasRequiredValidating) return validating$1;
		hasRequiredValidating = 1;
		let unformatter = requireUnformatting();

		// Simplified regexp supporting only `language`, `script`, and `region`
		const bcp47RegExp = /^[a-z]{2,3}(-[a-zA-Z]{4})?(-([A-Z]{2}|[0-9]{3}))?$/;

		const validOutputValues = [
		    "currency",
		    "percent",
		    "byte",
		    "time",
		    "ordinal",
		    "number"
		];

		const validForceAverageValues = [
		    "trillion",
		    "billion",
		    "million",
		    "thousand"
		];

		const validCurrencyPosition = [
		    "prefix",
		    "infix",
		    "postfix"
		];

		const validNegativeValues = [
		    "sign",
		    "parenthesis"
		];

		const validMandatoryAbbreviations = {
		    type: "object",
		    children: {
		        thousand: {
		            type: "string",
		            mandatory: true
		        },
		        million: {
		            type: "string",
		            mandatory: true
		        },
		        billion: {
		            type: "string",
		            mandatory: true
		        },
		        trillion: {
		            type: "string",
		            mandatory: true
		        }
		    },
		    mandatory: true
		};

		const validAbbreviations = {
		    type: "object",
		    children: {
		        thousand: "string",
		        million: "string",
		        billion: "string",
		        trillion: "string"
		    }
		};

		const validBaseValues = [
		    "decimal",
		    "binary",
		    "general"
		];

		const validFormat = {
		    output: {
		        type: "string",
		        validValues: validOutputValues
		    },
		    base: {
		        type: "string",
		        validValues: validBaseValues,
		        restriction: (number, format) => format.output === "byte",
		        message: "`base` must be provided only when the output is `byte`",
		        mandatory: (format) => format.output === "byte"
		    },
		    characteristic: {
		        type: "number",
		        restriction: (number) => number >= 0,
		        message: "value must be positive"
		    },
		    prefix: "string",
		    postfix: "string",
		    forceAverage: {
		        type: "string",
		        validValues: validForceAverageValues
		    },
		    average: "boolean",
		    lowPrecision: {
		        type: "boolean",
		        restriction: (number, format) => format.average === true,
		        message: "`lowPrecision` must be provided only when the option `average` is set"
		    },
		    currencyPosition: {
		        type: "string",
		        validValues: validCurrencyPosition
		    },
		    currencySymbol: "string",
		    totalLength: {
		        type: "number",
		        restrictions: [
		            {
		                restriction: (number) => number >= 0,
		                message: "value must be positive"
		            },
		            {
		                restriction: (number, format) => !format.exponential,
		                message: "`totalLength` is incompatible with `exponential`"
		            }
		        ]
		    },
		    mantissa: {
		        type: "number",
		        restriction: (number) => number >= 0,
		        message: "value must be positive"
		    },
		    optionalMantissa: "boolean",
		    trimMantissa: "boolean",
		    roundingFunction: "function",
		    optionalCharacteristic: "boolean",
		    thousandSeparated: "boolean",
		    spaceSeparated: "boolean",
		    spaceSeparatedCurrency: "boolean",
		    spaceSeparatedAbbreviation: "boolean",
		    abbreviations: validAbbreviations,
		    negative: {
		        type: "string",
		        validValues: validNegativeValues
		    },
		    forceSign: "boolean",
		    exponential: {
		        type: "boolean"
		    },
		    prefixSymbol: {
		        type: "boolean",
		        restriction: (number, format) => format.output === "percent",
		        message: "`prefixSymbol` can be provided only when the output is `percent`"
		    }
		};

		const validLanguage = {
		    languageTag: {
		        type: "string",
		        mandatory: true,
		        restriction: (tag) => {
		            return tag.match(bcp47RegExp);
		        },
		        message: "the language tag must follow the BCP 47 specification (see https://tools.ieft.org/html/bcp47)"
		    },
		    delimiters: {
		        type: "object",
		        children: {
		            thousands: "string",
		            decimal: "string",
		            thousandsSize: "number"
		        },
		        mandatory: true
		    },
		    abbreviations: validMandatoryAbbreviations,
		    spaceSeparated: "boolean",
		    spaceSeparatedCurrency: "boolean",
		    ordinal: {
		        type: "function",
		        mandatory: true
		    },
		    bytes: {
		        type: "object",
		        children: {
		            binarySuffixes: "object",
		            decimalSuffixes: "object"
		        }
		    },
		    currency: {
		        type: "object",
		        children: {
		            symbol: "string",
		            position: "string",
		            code: "string"
		        },
		        mandatory: true
		    },
		    defaults: "format",
		    ordinalFormat: "format",
		    byteFormat: "format",
		    percentageFormat: "format",
		    currencyFormat: "format",
		    timeDefaults: "format",
		    formats: {
		        type: "object",
		        children: {
		            fourDigits: {
		                type: "format",
		                mandatory: true
		            },
		            fullWithTwoDecimals: {
		                type: "format",
		                mandatory: true
		            },
		            fullWithTwoDecimalsNoCurrency: {
		                type: "format",
		                mandatory: true
		            },
		            fullWithNoDecimals: {
		                type: "format",
		                mandatory: true
		            }
		        }
		    }
		};

		/**
		 * Check the validity of the provided input and format.
		 * The check is NOT lazy.
		 *
		 * @param {string|number|Numbro} input - input to check
		 * @param {NumbroFormat} format - format to check
		 * @return {boolean} True when everything is correct
		 */
		function validate(input, format) {
		    let validInput = validateInput(input);
		    let isFormatValid = validateFormat(format);

		    return validInput && isFormatValid;
		}

		/**
		 * Check the validity of the numbro input.
		 *
		 * @param {string|number|Numbro} input - input to check
		 * @return {boolean} True when everything is correct
		 */
		function validateInput(input) {
		    let value = unformatter.unformat(input);

		    return value !== undefined;
		}

		/**
		 * Check the validity of the provided format TOVALIDATE against SPEC.
		 *
		 * @param {NumbroFormat} toValidate - format to check
		 * @param {*} spec - specification against which to check
		 * @param {string} prefix - prefix use for error messages
		 * @param {boolean} skipMandatoryCheck - `true` when the check for mandatory key must be skipped
		 * @return {boolean} True when everything is correct
		 */
		function validateSpec(toValidate, spec, prefix, skipMandatoryCheck = false) {
		    let results = Object.keys(toValidate).map((key) => {
		        if (!spec[key]) {
		            console.error(`${prefix} Invalid key: ${key}`); // eslint-disable-line no-console
		            return false;
		        }

		        let value = toValidate[key];
		        let data = spec[key];

		        if (typeof data === "string") {
		            data = {type: data};
		        }

		        if (data.type === "format") { // all formats are partial (a.k.a will be merged with some default values) thus no need to check mandatory values
		            let valid = validateSpec(value, validFormat, `[Validate ${key}]`, true);

		            if (!valid) {
		                return false;
		            }
		        } else if (typeof value !== data.type) {
		            console.error(`${prefix} ${key} type mismatched: "${data.type}" expected, "${typeof value}" provided`); // eslint-disable-line no-console
		            return false;
		        }

		        if (data.restrictions && data.restrictions.length) {
		            let length = data.restrictions.length;
		            for (let i = 0; i < length; i++) {
		                let {restriction, message} = data.restrictions[i];
		                if (!restriction(value, toValidate)) {
		                    console.error(`${prefix} ${key} invalid value: ${message}`); // eslint-disable-line no-console
		                    return false;
		                }
		            }
		        }

		        if (data.restriction && !data.restriction(value, toValidate)) {
		            console.error(`${prefix} ${key} invalid value: ${data.message}`); // eslint-disable-line no-console
		            return false;
		        }

		        if (data.validValues && data.validValues.indexOf(value) === -1) {
		            console.error(`${prefix} ${key} invalid value: must be among ${JSON.stringify(data.validValues)}, "${value}" provided`); // eslint-disable-line no-console
		            return false;
		        }

		        if (data.children) {
		            let valid = validateSpec(value, data.children, `[Validate ${key}]`);

		            if (!valid) {
		                return false;
		            }
		        }

		        return true;
		    });

		    if (!skipMandatoryCheck) {
		        results.push(...Object.keys(spec).map((key) => {
		            let data = spec[key];
		            if (typeof data === "string") {
		                data = {type: data};
		            }

		            if (data.mandatory) {
		                let mandatory = data.mandatory;
		                if (typeof mandatory === "function") {
		                    mandatory = mandatory(toValidate);
		                }

		                if (mandatory && toValidate[key] === undefined) {
		                    console.error(`${prefix} Missing mandatory key "${key}"`); // eslint-disable-line no-console
		                    return false;
		                }
		            }

		            return true;
		        }));
		    }

		    return results.reduce((acc, current) => {
		        return acc && current;
		    }, true);
		}

		/**
		 * Check the provided FORMAT.
		 *
		 * @param {NumbroFormat} format - format to check
		 * @return {boolean}
		 */
		function validateFormat(format) {
		    return validateSpec(format, validFormat, "[Validate format]");
		}

		/**
		 * Check the provided LANGUAGE.
		 *
		 * @param {NumbroLanguage} language - language to check
		 * @return {boolean}
		 */
		function validateLanguage(language) {
		    return validateSpec(language, validLanguage, "[Validate language]");
		}

		validating$1 = {
		    validate,
		    validateFormat,
		    validateInput,
		    validateLanguage
		};
		return validating$1;
	}

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	/**
	 * Parse the format STRING looking for a prefix. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parsePrefix(string, result) {
	    let match = string.match(/^{([^}]*)}/);
	    if (match) {
	        result.prefix = match[1];
	        return string.slice(match[0].length);
	    }

	    return string;
	}

	/**
	 * Parse the format STRING looking for a postfix. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parsePostfix(string, result) {
	    let match = string.match(/{([^}]*)}$/);
	    if (match) {
	        result.postfix = match[1];

	        return string.slice(0, -match[0].length);
	    }

	    return string;
	}

	/**
	 * Parse the format STRING looking for the output value. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 */
	function parseOutput(string, result) {
	    if (string.indexOf("$") !== -1) {
	        result.output = "currency";
	        return;
	    }

	    if (string.indexOf("%") !== -1) {
	        result.output = "percent";
	        return;
	    }

	    if (string.indexOf("bd") !== -1) {
	        result.output = "byte";
	        result.base = "general";
	        return;
	    }

	    if (string.indexOf("b") !== -1) {
	        result.output = "byte";
	        result.base = "binary";
	        return;

	    }

	    if (string.indexOf("d") !== -1) {
	        result.output = "byte";
	        result.base = "decimal";
	        return;

	    }

	    if (string.indexOf(":") !== -1) {
	        result.output = "time";
	        return;
	    }

	    if (string.indexOf("o") !== -1) {
	        result.output = "ordinal";
	    }
	}

	/**
	 * Parse the format STRING looking for the thousand separated value. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseThousandSeparated(string, result) {
	    if (string.indexOf(",") !== -1) {
	        result.thousandSeparated = true;
	    }
	}

	/**
	 * Parse the format STRING looking for the space separated value. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseSpaceSeparated(string, result) {
	    if (string.indexOf(" ") !== -1) {
	        result.spaceSeparated = true;
	        result.spaceSeparatedCurrency = true;

	        if (result.average || result.forceAverage) {
	            result.spaceSeparatedAbbreviation = true;
	        }
	    }
	}

	/**
	 * Parse the format STRING looking for the total length. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseTotalLength(string, result) {
	    let match = string.match(/[1-9]+[0-9]*/);

	    if (match) {
	        result.totalLength = +match[0];
	    }
	}

	/**
	 * Parse the format STRING looking for the characteristic length. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseCharacteristic(string, result) {
	    let characteristic = string.split(".")[0];
	    let match = characteristic.match(/0+/);
	    if (match) {
	        result.characteristic = match[0].length;
	    }
	}

	/**
	 * Parse the format STRING looking for the mantissa length. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseMantissa(string, result) {
	    let mantissa = string.split(".")[1];
	    if (mantissa) {
	        let match = mantissa.match(/0+/);
	        if (match) {
	            result.mantissa = match[0].length;
	        }
	    }
	}

	/**
	 * Parse the format STRING looking for a trimmed mantissa. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 */
	function parseTrimMantissa(string, result) {
	    const mantissa = string.split(".")[1];
	    if (mantissa) {
	        result.trimMantissa = mantissa.indexOf("[") !== -1;
	    }
	}

	/**
	 * Parse the format STRING looking for the average value. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseAverage(string, result) {
	    if (string.indexOf("a") !== -1) {
	        result.average = true;
	    }
	}

	/**
	 * Parse the format STRING looking for a forced average precision. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseForceAverage(string, result) {
	    if (string.indexOf("K") !== -1) {
	        result.forceAverage = "thousand";
	    } else if (string.indexOf("M") !== -1) {
	        result.forceAverage = "million";
	    } else if (string.indexOf("B") !== -1) {
	        result.forceAverage = "billion";
	    } else if (string.indexOf("T") !== -1) {
	        result.forceAverage = "trillion";
	    }
	}

	/**
	 * Parse the format STRING finding if the mantissa is optional. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseOptionalMantissa(string, result) {
	    if (string.match(/\[\.]/)) {
	        result.optionalMantissa = true;
	    } else if (string.match(/\./)) {
	        result.optionalMantissa = false;
	    }
	}

	/**
	 * Parse the format STRING finding if the characteristic is optional. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseOptionalCharacteristic(string, result) {
	    if (string.indexOf(".") !== -1) {
	        let characteristic = string.split(".")[0];
	        result.optionalCharacteristic = characteristic.indexOf("0") === -1;
	    }
	}

	/**
	 * Parse the format STRING looking for the negative format. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {string} - format
	 */
	function parseNegative(string, result) {
	    if (string.match(/^\+?\([^)]*\)$/)) {
	        result.negative = "parenthesis";
	    }
	    if (string.match(/^\+?-/)) {
	        result.negative = "sign";
	    }
	}

	/**
	 * Parse the format STRING finding if the sign is mandatory. Append it to RESULT when found.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 */
	function parseForceSign(string, result) {
	    if (string.match(/^\+/)) {
	        result.forceSign = true;
	    }
	}

	/**
	 * Parse the format STRING and accumulating the values ie RESULT.
	 *
	 * @param {string} string - format
	 * @param {NumbroFormat} result - Result accumulator
	 * @return {NumbroFormat} - format
	 */
	function parseFormat(string, result = {}) {
	    if (typeof string !== "string") {
	        return string;
	    }

	    string = parsePrefix(string, result);
	    string = parsePostfix(string, result);
	    parseOutput(string, result);
	    parseTotalLength(string, result);
	    parseCharacteristic(string, result);
	    parseOptionalCharacteristic(string, result);
	    parseAverage(string, result);
	    parseForceAverage(string, result);
	    parseMantissa(string, result);
	    parseOptionalMantissa(string, result);
	    parseTrimMantissa(string, result);
	    parseThousandSeparated(string, result);
	    parseSpaceSeparated(string, result);
	    parseNegative(string, result);
	    parseForceSign(string, result);

	    return result;
	}

	var parsing$2 = {
	    parseFormat
	};

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	var globalState$2;
	var hasRequiredGlobalState;

	function requireGlobalState () {
		if (hasRequiredGlobalState) return globalState$2;
		hasRequiredGlobalState = 1;
		const enUS = requireEnUS();
		const validating = requireValidating();
		const parsing = parsing$2;

		let state = {};

		let currentLanguageTag = undefined;
		let languages = {};

		let zeroFormat = null;

		let globalDefaults = {};

		function chooseLanguage(tag) { currentLanguageTag = tag; }

		function currentLanguageData() { return languages[currentLanguageTag]; }

		/**
		 * Return all the register languages
		 *
		 * @return {{}}
		 */
		state.languages = () => Object.assign({}, languages);

		//
		// Current language accessors
		//

		/**
		 * Return the current language tag
		 *
		 * @return {string}
		 */
		state.currentLanguage = () => currentLanguageTag;

		/**
		 * Return the current language bytes data
		 *
		 * @return {{}}
		 */
		state.currentBytes = () => currentLanguageData().bytes || {};

		/**
		 * Return the current language currency data
		 *
		 * @return {{}}
		 */
		state.currentCurrency = () => currentLanguageData().currency;

		/**
		 * Return the current language abbreviations data
		 *
		 * @return {{}}
		 */
		state.currentAbbreviations = () => currentLanguageData().abbreviations;

		/**
		 * Return the current language delimiters data
		 *
		 * @return {{}}
		 */
		state.currentDelimiters = () => currentLanguageData().delimiters;

		/**
		 * Return the current language ordinal function
		 *
		 * @return {function}
		 */
		state.currentOrdinal = () => currentLanguageData().ordinal;

		//
		// Defaults
		//

		/**
		 * Return the current formatting defaults.
		 * First use the current language default, then fallback to the globally defined defaults.
		 *
		 * @return {{}}
		 */
		state.currentDefaults = () => Object.assign({}, currentLanguageData().defaults, globalDefaults);

		/**
		 * Return the ordinal default-format.
		 * First use the current language ordinal default, then fallback to the regular defaults.
		 *
		 * @return {{}}
		 */
		state.currentOrdinalDefaultFormat = () => Object.assign({}, state.currentDefaults(), currentLanguageData().ordinalFormat);

		/**
		 * Return the byte default-format.
		 * First use the current language byte default, then fallback to the regular defaults.
		 *
		 * @return {{}}
		 */
		state.currentByteDefaultFormat = () => Object.assign({}, state.currentDefaults(), currentLanguageData().byteFormat);

		/**
		 * Return the percentage default-format.
		 * First use the current language percentage default, then fallback to the regular defaults.
		 *
		 * @return {{}}
		 */
		state.currentPercentageDefaultFormat = () => Object.assign({}, state.currentDefaults(), currentLanguageData().percentageFormat);

		/**
		 * Return the currency default-format.
		 * First use the current language currency default, then fallback to the regular defaults.
		 *
		 * @return {{}}
		 */
		state.currentCurrencyDefaultFormat = () => Object.assign({}, state.currentDefaults(), currentLanguageData().currencyFormat);

		/**
		 * Return the time default-format.
		 * First use the current language currency default, then fallback to the regular defaults.
		 *
		 * @return {{}}
		 */
		state.currentTimeDefaultFormat = () => Object.assign({}, state.currentDefaults(), currentLanguageData().timeFormat);

		/**
		 * Set the global formatting defaults.
		 *
		 * @param {{}|string} format - formatting options to use as defaults
		 */
		state.setDefaults = (format) => {
		    format = parsing.parseFormat(format);
		    if (validating.validateFormat(format)) {
		        globalDefaults = format;
		    }
		};

		//
		// Zero format
		//

		/**
		 * Return the format string for 0.
		 *
		 * @return {string}
		 */
		state.getZeroFormat = () => zeroFormat;

		/**
		 * Set a STRING to output when the value is 0.
		 *
		 * @param {{}|string} string - string to set
		 */
		state.setZeroFormat = (string) => zeroFormat = typeof(string) === "string" ? string : null;

		/**
		 * Return true if a format for 0 has been set already.
		 *
		 * @return {boolean}
		 */
		state.hasZeroFormat = () => zeroFormat !== null;

		//
		// Getters/Setters
		//

		/**
		 * Return the language data for the provided TAG.
		 * Return the current language data if no tag is provided.
		 *
		 * Throw an error if the tag doesn't match any registered language.
		 *
		 * @param {string} [tag] - language tag of a registered language
		 * @return {{}}
		 */
		state.languageData = (tag) => {
		    if (tag) {
		        if (languages[tag]) {
		            return languages[tag];
		        }
		        throw new Error(`Unknown tag "${tag}"`);
		    }

		    return currentLanguageData();
		};

		/**
		 * Register the provided DATA as a language if and only if the data is valid.
		 * If the data is not valid, an error is thrown.
		 *
		 * When USELANGUAGE is true, the registered language is then used.
		 *
		 * @param {{}} data - language data to register
		 * @param {boolean} [useLanguage] - `true` if the provided data should become the current language
		 */
		state.registerLanguage = (data, useLanguage = false) => {
		    if (!validating.validateLanguage(data)) {
		        throw new Error("Invalid language data");
		    }

		    languages[data.languageTag] = data;

		    if (useLanguage) {
		        chooseLanguage(data.languageTag);
		    }
		};

		/**
		 * Set the current language according to TAG.
		 * If TAG doesn't match a registered language, another language matching
		 * the "language" part of the tag (according to BCP47: https://tools.ietf.org/rfc/bcp/bcp47.txt).
		 * If none, the FALLBACKTAG is used. If the FALLBACKTAG doesn't match a register language,
		 * `en-US` is finally used.
		 *
		 * @param tag
		 * @param fallbackTag
		 */
		state.setLanguage = (tag, fallbackTag = enUS.languageTag) => {
		    if (!languages[tag]) {
		        let suffix = tag.split("-")[0];

		        let matchingLanguageTag = Object.keys(languages).find(each => {
		            return each.split("-")[0] === suffix;
		        });

		        if (!languages[matchingLanguageTag]) {
		            chooseLanguage(fallbackTag);
		            return;
		        }

		        chooseLanguage(matchingLanguageTag);
		        return;
		    }

		    chooseLanguage(tag);
		};

		state.registerLanguage(enUS);
		currentLanguageTag = enUS.languageTag;

		globalState$2 = state;
		return globalState$2;
	}

	function commonjsRequire(path) {
		throw new Error('Could not dynamically require "' + path + '". Please configure the dynamicRequireTargets or/and ignoreDynamicRequires option of @rollup/plugin-commonjs appropriately for this require call to work.');
	}

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	/**
	 * Load languages matching TAGS. Silently pass over the failing load.
	 *
	 * We assume here that we are in a node environment, so we don't check for it.
	 * @param {[String]} tags - list of tags to load
	 * @param {Numbro} numbro - the numbro singleton
	 */
	function loadLanguagesInNode(tags, numbro) {
	    tags.forEach((tag) => {
	        let data = undefined;
	        try {
	            data = commonjsRequire(`../languages/${tag}`);
	        } catch (e) {
	            console.error(`Unable to load "${tag}". No matching language file found.`); // eslint-disable-line no-console
	        }

	        if (data) {
	            numbro.registerLanguage(data);
	        }
	    });
	}

	var loading = (numbro) => ({
	    loadLanguagesInNode: (tags) => loadLanguagesInNode(tags, numbro)
	});

	var bignumber = {exports: {}};

	(function (module) {
	(function (globalObject) {

		/*
		 *      bignumber.js v9.1.2
		 *      A JavaScript library for arbitrary-precision arithmetic.
		 *      https://github.com/MikeMcl/bignumber.js
		 *      Copyright (c) 2022 Michael Mclaughlin <M8ch88l@gmail.com>
		 *      MIT Licensed.
		 *
		 *      BigNumber.prototype methods     |  BigNumber methods
		 *                                      |
		 *      absoluteValue            abs    |  clone
		 *      comparedTo                      |  config               set
		 *      decimalPlaces            dp     |      DECIMAL_PLACES
		 *      dividedBy                div    |      ROUNDING_MODE
		 *      dividedToIntegerBy       idiv   |      EXPONENTIAL_AT
		 *      exponentiatedBy          pow    |      RANGE
		 *      integerValue                    |      CRYPTO
		 *      isEqualTo                eq     |      MODULO_MODE
		 *      isFinite                        |      POW_PRECISION
		 *      isGreaterThan            gt     |      FORMAT
		 *      isGreaterThanOrEqualTo   gte    |      ALPHABET
		 *      isInteger                       |  isBigNumber
		 *      isLessThan               lt     |  maximum              max
		 *      isLessThanOrEqualTo      lte    |  minimum              min
		 *      isNaN                           |  random
		 *      isNegative                      |  sum
		 *      isPositive                      |
		 *      isZero                          |
		 *      minus                           |
		 *      modulo                   mod    |
		 *      multipliedBy             times  |
		 *      negated                         |
		 *      plus                            |
		 *      precision                sd     |
		 *      shiftedBy                       |
		 *      squareRoot               sqrt   |
		 *      toExponential                   |
		 *      toFixed                         |
		 *      toFormat                        |
		 *      toFraction                      |
		 *      toJSON                          |
		 *      toNumber                        |
		 *      toPrecision                     |
		 *      toString                        |
		 *      valueOf                         |
		 *
		 */


		  var BigNumber,
		    isNumeric = /^-?(?:\d+(?:\.\d*)?|\.\d+)(?:e[+-]?\d+)?$/i,
		    mathceil = Math.ceil,
		    mathfloor = Math.floor,

		    bignumberError = '[BigNumber Error] ',
		    tooManyDigits = bignumberError + 'Number primitive has more than 15 significant digits: ',

		    BASE = 1e14,
		    LOG_BASE = 14,
		    MAX_SAFE_INTEGER = 0x1fffffffffffff,         // 2^53 - 1
		    // MAX_INT32 = 0x7fffffff,                   // 2^31 - 1
		    POWS_TEN = [1, 10, 100, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13],
		    SQRT_BASE = 1e7,

		    // EDITABLE
		    // The limit on the value of DECIMAL_PLACES, TO_EXP_NEG, TO_EXP_POS, MIN_EXP, MAX_EXP, and
		    // the arguments to toExponential, toFixed, toFormat, and toPrecision.
		    MAX = 1E9;                                   // 0 to MAX_INT32


		  /*
		   * Create and return a BigNumber constructor.
		   */
		  function clone(configObject) {
		    var div, convertBase, parseNumeric,
		      P = BigNumber.prototype = { constructor: BigNumber, toString: null, valueOf: null },
		      ONE = new BigNumber(1),


		      //----------------------------- EDITABLE CONFIG DEFAULTS -------------------------------


		      // The default values below must be integers within the inclusive ranges stated.
		      // The values can also be changed at run-time using BigNumber.set.

		      // The maximum number of decimal places for operations involving division.
		      DECIMAL_PLACES = 20,                     // 0 to MAX

		      // The rounding mode used when rounding to the above decimal places, and when using
		      // toExponential, toFixed, toFormat and toPrecision, and round (default value).
		      // UP         0 Away from zero.
		      // DOWN       1 Towards zero.
		      // CEIL       2 Towards +Infinity.
		      // FLOOR      3 Towards -Infinity.
		      // HALF_UP    4 Towards nearest neighbour. If equidistant, up.
		      // HALF_DOWN  5 Towards nearest neighbour. If equidistant, down.
		      // HALF_EVEN  6 Towards nearest neighbour. If equidistant, towards even neighbour.
		      // HALF_CEIL  7 Towards nearest neighbour. If equidistant, towards +Infinity.
		      // HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.
		      ROUNDING_MODE = 4,                       // 0 to 8

		      // EXPONENTIAL_AT : [TO_EXP_NEG , TO_EXP_POS]

		      // The exponent value at and beneath which toString returns exponential notation.
		      // Number type: -7
		      TO_EXP_NEG = -7,                         // 0 to -MAX

		      // The exponent value at and above which toString returns exponential notation.
		      // Number type: 21
		      TO_EXP_POS = 21,                         // 0 to MAX

		      // RANGE : [MIN_EXP, MAX_EXP]

		      // The minimum exponent value, beneath which underflow to zero occurs.
		      // Number type: -324  (5e-324)
		      MIN_EXP = -1e7,                          // -1 to -MAX

		      // The maximum exponent value, above which overflow to Infinity occurs.
		      // Number type:  308  (1.7976931348623157e+308)
		      // For MAX_EXP > 1e7, e.g. new BigNumber('1e100000000').plus(1) may be slow.
		      MAX_EXP = 1e7,                           // 1 to MAX

		      // Whether to use cryptographically-secure random number generation, if available.
		      CRYPTO = false,                          // true or false

		      // The modulo mode used when calculating the modulus: a mod n.
		      // The quotient (q = a / n) is calculated according to the corresponding rounding mode.
		      // The remainder (r) is calculated as: r = a - n * q.
		      //
		      // UP        0 The remainder is positive if the dividend is negative, else is negative.
		      // DOWN      1 The remainder has the same sign as the dividend.
		      //             This modulo mode is commonly known as 'truncated division' and is
		      //             equivalent to (a % n) in JavaScript.
		      // FLOOR     3 The remainder has the same sign as the divisor (Python %).
		      // HALF_EVEN 6 This modulo mode implements the IEEE 754 remainder function.
		      // EUCLID    9 Euclidian division. q = sign(n) * floor(a / abs(n)).
		      //             The remainder is always positive.
		      //
		      // The truncated division, floored division, Euclidian division and IEEE 754 remainder
		      // modes are commonly used for the modulus operation.
		      // Although the other rounding modes can also be used, they may not give useful results.
		      MODULO_MODE = 1,                         // 0 to 9

		      // The maximum number of significant digits of the result of the exponentiatedBy operation.
		      // If POW_PRECISION is 0, there will be unlimited significant digits.
		      POW_PRECISION = 0,                       // 0 to MAX

		      // The format specification used by the BigNumber.prototype.toFormat method.
		      FORMAT = {
		        prefix: '',
		        groupSize: 3,
		        secondaryGroupSize: 0,
		        groupSeparator: ',',
		        decimalSeparator: '.',
		        fractionGroupSize: 0,
		        fractionGroupSeparator: '\xA0',        // non-breaking space
		        suffix: ''
		      },

		      // The alphabet used for base conversion. It must be at least 2 characters long, with no '+',
		      // '-', '.', whitespace, or repeated character.
		      // '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_'
		      ALPHABET = '0123456789abcdefghijklmnopqrstuvwxyz',
		      alphabetHasNormalDecimalDigits = true;


		    //------------------------------------------------------------------------------------------


		    // CONSTRUCTOR


		    /*
		     * The BigNumber constructor and exported function.
		     * Create and return a new instance of a BigNumber object.
		     *
		     * v {number|string|BigNumber} A numeric value.
		     * [b] {number} The base of v. Integer, 2 to ALPHABET.length inclusive.
		     */
		    function BigNumber(v, b) {
		      var alphabet, c, caseChanged, e, i, isNum, len, str,
		        x = this;

		      // Enable constructor call without `new`.
		      if (!(x instanceof BigNumber)) return new BigNumber(v, b);

		      if (b == null) {

		        if (v && v._isBigNumber === true) {
		          x.s = v.s;

		          if (!v.c || v.e > MAX_EXP) {
		            x.c = x.e = null;
		          } else if (v.e < MIN_EXP) {
		            x.c = [x.e = 0];
		          } else {
		            x.e = v.e;
		            x.c = v.c.slice();
		          }

		          return;
		        }

		        if ((isNum = typeof v == 'number') && v * 0 == 0) {

		          // Use `1 / n` to handle minus zero also.
		          x.s = 1 / v < 0 ? (v = -v, -1) : 1;

		          // Fast path for integers, where n < 2147483648 (2**31).
		          if (v === ~~v) {
		            for (e = 0, i = v; i >= 10; i /= 10, e++);

		            if (e > MAX_EXP) {
		              x.c = x.e = null;
		            } else {
		              x.e = e;
		              x.c = [v];
		            }

		            return;
		          }

		          str = String(v);
		        } else {

		          if (!isNumeric.test(str = String(v))) return parseNumeric(x, str, isNum);

		          x.s = str.charCodeAt(0) == 45 ? (str = str.slice(1), -1) : 1;
		        }

		        // Decimal point?
		        if ((e = str.indexOf('.')) > -1) str = str.replace('.', '');

		        // Exponential form?
		        if ((i = str.search(/e/i)) > 0) {

		          // Determine exponent.
		          if (e < 0) e = i;
		          e += +str.slice(i + 1);
		          str = str.substring(0, i);
		        } else if (e < 0) {

		          // Integer.
		          e = str.length;
		        }

		      } else {

		        // '[BigNumber Error] Base {not a primitive number|not an integer|out of range}: {b}'
		        intCheck(b, 2, ALPHABET.length, 'Base');

		        // Allow exponential notation to be used with base 10 argument, while
		        // also rounding to DECIMAL_PLACES as with other bases.
		        if (b == 10 && alphabetHasNormalDecimalDigits) {
		          x = new BigNumber(v);
		          return round(x, DECIMAL_PLACES + x.e + 1, ROUNDING_MODE);
		        }

		        str = String(v);

		        if (isNum = typeof v == 'number') {

		          // Avoid potential interpretation of Infinity and NaN as base 44+ values.
		          if (v * 0 != 0) return parseNumeric(x, str, isNum, b);

		          x.s = 1 / v < 0 ? (str = str.slice(1), -1) : 1;

		          // '[BigNumber Error] Number primitive has more than 15 significant digits: {n}'
		          if (BigNumber.DEBUG && str.replace(/^0\.0*|\./, '').length > 15) {
		            throw Error
		             (tooManyDigits + v);
		          }
		        } else {
		          x.s = str.charCodeAt(0) === 45 ? (str = str.slice(1), -1) : 1;
		        }

		        alphabet = ALPHABET.slice(0, b);
		        e = i = 0;

		        // Check that str is a valid base b number.
		        // Don't use RegExp, so alphabet can contain special characters.
		        for (len = str.length; i < len; i++) {
		          if (alphabet.indexOf(c = str.charAt(i)) < 0) {
		            if (c == '.') {

		              // If '.' is not the first character and it has not be found before.
		              if (i > e) {
		                e = len;
		                continue;
		              }
		            } else if (!caseChanged) {

		              // Allow e.g. hexadecimal 'FF' as well as 'ff'.
		              if (str == str.toUpperCase() && (str = str.toLowerCase()) ||
		                  str == str.toLowerCase() && (str = str.toUpperCase())) {
		                caseChanged = true;
		                i = -1;
		                e = 0;
		                continue;
		              }
		            }

		            return parseNumeric(x, String(v), isNum, b);
		          }
		        }

		        // Prevent later check for length on converted number.
		        isNum = false;
		        str = convertBase(str, b, 10, x.s);

		        // Decimal point?
		        if ((e = str.indexOf('.')) > -1) str = str.replace('.', '');
		        else e = str.length;
		      }

		      // Determine leading zeros.
		      for (i = 0; str.charCodeAt(i) === 48; i++);

		      // Determine trailing zeros.
		      for (len = str.length; str.charCodeAt(--len) === 48;);

		      if (str = str.slice(i, ++len)) {
		        len -= i;

		        // '[BigNumber Error] Number primitive has more than 15 significant digits: {n}'
		        if (isNum && BigNumber.DEBUG &&
		          len > 15 && (v > MAX_SAFE_INTEGER || v !== mathfloor(v))) {
		            throw Error
		             (tooManyDigits + (x.s * v));
		        }

		         // Overflow?
		        if ((e = e - i - 1) > MAX_EXP) {

		          // Infinity.
		          x.c = x.e = null;

		        // Underflow?
		        } else if (e < MIN_EXP) {

		          // Zero.
		          x.c = [x.e = 0];
		        } else {
		          x.e = e;
		          x.c = [];

		          // Transform base

		          // e is the base 10 exponent.
		          // i is where to slice str to get the first element of the coefficient array.
		          i = (e + 1) % LOG_BASE;
		          if (e < 0) i += LOG_BASE;  // i < 1

		          if (i < len) {
		            if (i) x.c.push(+str.slice(0, i));

		            for (len -= LOG_BASE; i < len;) {
		              x.c.push(+str.slice(i, i += LOG_BASE));
		            }

		            i = LOG_BASE - (str = str.slice(i)).length;
		          } else {
		            i -= len;
		          }

		          for (; i--; str += '0');
		          x.c.push(+str);
		        }
		      } else {

		        // Zero.
		        x.c = [x.e = 0];
		      }
		    }


		    // CONSTRUCTOR PROPERTIES


		    BigNumber.clone = clone;

		    BigNumber.ROUND_UP = 0;
		    BigNumber.ROUND_DOWN = 1;
		    BigNumber.ROUND_CEIL = 2;
		    BigNumber.ROUND_FLOOR = 3;
		    BigNumber.ROUND_HALF_UP = 4;
		    BigNumber.ROUND_HALF_DOWN = 5;
		    BigNumber.ROUND_HALF_EVEN = 6;
		    BigNumber.ROUND_HALF_CEIL = 7;
		    BigNumber.ROUND_HALF_FLOOR = 8;
		    BigNumber.EUCLID = 9;


		    /*
		     * Configure infrequently-changing library-wide settings.
		     *
		     * Accept an object with the following optional properties (if the value of a property is
		     * a number, it must be an integer within the inclusive range stated):
		     *
		     *   DECIMAL_PLACES   {number}           0 to MAX
		     *   ROUNDING_MODE    {number}           0 to 8
		     *   EXPONENTIAL_AT   {number|number[]}  -MAX to MAX  or  [-MAX to 0, 0 to MAX]
		     *   RANGE            {number|number[]}  -MAX to MAX (not zero)  or  [-MAX to -1, 1 to MAX]
		     *   CRYPTO           {boolean}          true or false
		     *   MODULO_MODE      {number}           0 to 9
		     *   POW_PRECISION       {number}           0 to MAX
		     *   ALPHABET         {string}           A string of two or more unique characters which does
		     *                                       not contain '.'.
		     *   FORMAT           {object}           An object with some of the following properties:
		     *     prefix                 {string}
		     *     groupSize              {number}
		     *     secondaryGroupSize     {number}
		     *     groupSeparator         {string}
		     *     decimalSeparator       {string}
		     *     fractionGroupSize      {number}
		     *     fractionGroupSeparator {string}
		     *     suffix                 {string}
		     *
		     * (The values assigned to the above FORMAT object properties are not checked for validity.)
		     *
		     * E.g.
		     * BigNumber.config({ DECIMAL_PLACES : 20, ROUNDING_MODE : 4 })
		     *
		     * Ignore properties/parameters set to null or undefined, except for ALPHABET.
		     *
		     * Return an object with the properties current values.
		     */
		    BigNumber.config = BigNumber.set = function (obj) {
		      var p, v;

		      if (obj != null) {

		        if (typeof obj == 'object') {

		          // DECIMAL_PLACES {number} Integer, 0 to MAX inclusive.
		          // '[BigNumber Error] DECIMAL_PLACES {not a primitive number|not an integer|out of range}: {v}'
		          if (obj.hasOwnProperty(p = 'DECIMAL_PLACES')) {
		            v = obj[p];
		            intCheck(v, 0, MAX, p);
		            DECIMAL_PLACES = v;
		          }

		          // ROUNDING_MODE {number} Integer, 0 to 8 inclusive.
		          // '[BigNumber Error] ROUNDING_MODE {not a primitive number|not an integer|out of range}: {v}'
		          if (obj.hasOwnProperty(p = 'ROUNDING_MODE')) {
		            v = obj[p];
		            intCheck(v, 0, 8, p);
		            ROUNDING_MODE = v;
		          }

		          // EXPONENTIAL_AT {number|number[]}
		          // Integer, -MAX to MAX inclusive or
		          // [integer -MAX to 0 inclusive, 0 to MAX inclusive].
		          // '[BigNumber Error] EXPONENTIAL_AT {not a primitive number|not an integer|out of range}: {v}'
		          if (obj.hasOwnProperty(p = 'EXPONENTIAL_AT')) {
		            v = obj[p];
		            if (v && v.pop) {
		              intCheck(v[0], -MAX, 0, p);
		              intCheck(v[1], 0, MAX, p);
		              TO_EXP_NEG = v[0];
		              TO_EXP_POS = v[1];
		            } else {
		              intCheck(v, -MAX, MAX, p);
		              TO_EXP_NEG = -(TO_EXP_POS = v < 0 ? -v : v);
		            }
		          }

		          // RANGE {number|number[]} Non-zero integer, -MAX to MAX inclusive or
		          // [integer -MAX to -1 inclusive, integer 1 to MAX inclusive].
		          // '[BigNumber Error] RANGE {not a primitive number|not an integer|out of range|cannot be zero}: {v}'
		          if (obj.hasOwnProperty(p = 'RANGE')) {
		            v = obj[p];
		            if (v && v.pop) {
		              intCheck(v[0], -MAX, -1, p);
		              intCheck(v[1], 1, MAX, p);
		              MIN_EXP = v[0];
		              MAX_EXP = v[1];
		            } else {
		              intCheck(v, -MAX, MAX, p);
		              if (v) {
		                MIN_EXP = -(MAX_EXP = v < 0 ? -v : v);
		              } else {
		                throw Error
		                 (bignumberError + p + ' cannot be zero: ' + v);
		              }
		            }
		          }

		          // CRYPTO {boolean} true or false.
		          // '[BigNumber Error] CRYPTO not true or false: {v}'
		          // '[BigNumber Error] crypto unavailable'
		          if (obj.hasOwnProperty(p = 'CRYPTO')) {
		            v = obj[p];
		            if (v === !!v) {
		              if (v) {
		                if (typeof crypto != 'undefined' && crypto &&
		                 (crypto.getRandomValues || crypto.randomBytes)) {
		                  CRYPTO = v;
		                } else {
		                  CRYPTO = !v;
		                  throw Error
		                   (bignumberError + 'crypto unavailable');
		                }
		              } else {
		                CRYPTO = v;
		              }
		            } else {
		              throw Error
		               (bignumberError + p + ' not true or false: ' + v);
		            }
		          }

		          // MODULO_MODE {number} Integer, 0 to 9 inclusive.
		          // '[BigNumber Error] MODULO_MODE {not a primitive number|not an integer|out of range}: {v}'
		          if (obj.hasOwnProperty(p = 'MODULO_MODE')) {
		            v = obj[p];
		            intCheck(v, 0, 9, p);
		            MODULO_MODE = v;
		          }

		          // POW_PRECISION {number} Integer, 0 to MAX inclusive.
		          // '[BigNumber Error] POW_PRECISION {not a primitive number|not an integer|out of range}: {v}'
		          if (obj.hasOwnProperty(p = 'POW_PRECISION')) {
		            v = obj[p];
		            intCheck(v, 0, MAX, p);
		            POW_PRECISION = v;
		          }

		          // FORMAT {object}
		          // '[BigNumber Error] FORMAT not an object: {v}'
		          if (obj.hasOwnProperty(p = 'FORMAT')) {
		            v = obj[p];
		            if (typeof v == 'object') FORMAT = v;
		            else throw Error
		             (bignumberError + p + ' not an object: ' + v);
		          }

		          // ALPHABET {string}
		          // '[BigNumber Error] ALPHABET invalid: {v}'
		          if (obj.hasOwnProperty(p = 'ALPHABET')) {
		            v = obj[p];

		            // Disallow if less than two characters,
		            // or if it contains '+', '-', '.', whitespace, or a repeated character.
		            if (typeof v == 'string' && !/^.?$|[+\-.\s]|(.).*\1/.test(v)) {
		              alphabetHasNormalDecimalDigits = v.slice(0, 10) == '0123456789';
		              ALPHABET = v;
		            } else {
		              throw Error
		               (bignumberError + p + ' invalid: ' + v);
		            }
		          }

		        } else {

		          // '[BigNumber Error] Object expected: {v}'
		          throw Error
		           (bignumberError + 'Object expected: ' + obj);
		        }
		      }

		      return {
		        DECIMAL_PLACES: DECIMAL_PLACES,
		        ROUNDING_MODE: ROUNDING_MODE,
		        EXPONENTIAL_AT: [TO_EXP_NEG, TO_EXP_POS],
		        RANGE: [MIN_EXP, MAX_EXP],
		        CRYPTO: CRYPTO,
		        MODULO_MODE: MODULO_MODE,
		        POW_PRECISION: POW_PRECISION,
		        FORMAT: FORMAT,
		        ALPHABET: ALPHABET
		      };
		    };


		    /*
		     * Return true if v is a BigNumber instance, otherwise return false.
		     *
		     * If BigNumber.DEBUG is true, throw if a BigNumber instance is not well-formed.
		     *
		     * v {any}
		     *
		     * '[BigNumber Error] Invalid BigNumber: {v}'
		     */
		    BigNumber.isBigNumber = function (v) {
		      if (!v || v._isBigNumber !== true) return false;
		      if (!BigNumber.DEBUG) return true;

		      var i, n,
		        c = v.c,
		        e = v.e,
		        s = v.s;

		      out: if ({}.toString.call(c) == '[object Array]') {

		        if ((s === 1 || s === -1) && e >= -MAX && e <= MAX && e === mathfloor(e)) {

		          // If the first element is zero, the BigNumber value must be zero.
		          if (c[0] === 0) {
		            if (e === 0 && c.length === 1) return true;
		            break out;
		          }

		          // Calculate number of digits that c[0] should have, based on the exponent.
		          i = (e + 1) % LOG_BASE;
		          if (i < 1) i += LOG_BASE;

		          // Calculate number of digits of c[0].
		          //if (Math.ceil(Math.log(c[0] + 1) / Math.LN10) == i) {
		          if (String(c[0]).length == i) {

		            for (i = 0; i < c.length; i++) {
		              n = c[i];
		              if (n < 0 || n >= BASE || n !== mathfloor(n)) break out;
		            }

		            // Last element cannot be zero, unless it is the only element.
		            if (n !== 0) return true;
		          }
		        }

		      // Infinity/NaN
		      } else if (c === null && e === null && (s === null || s === 1 || s === -1)) {
		        return true;
		      }

		      throw Error
		        (bignumberError + 'Invalid BigNumber: ' + v);
		    };


		    /*
		     * Return a new BigNumber whose value is the maximum of the arguments.
		     *
		     * arguments {number|string|BigNumber}
		     */
		    BigNumber.maximum = BigNumber.max = function () {
		      return maxOrMin(arguments, -1);
		    };


		    /*
		     * Return a new BigNumber whose value is the minimum of the arguments.
		     *
		     * arguments {number|string|BigNumber}
		     */
		    BigNumber.minimum = BigNumber.min = function () {
		      return maxOrMin(arguments, 1);
		    };


		    /*
		     * Return a new BigNumber with a random value equal to or greater than 0 and less than 1,
		     * and with dp, or DECIMAL_PLACES if dp is omitted, decimal places (or less if trailing
		     * zeros are produced).
		     *
		     * [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {dp}'
		     * '[BigNumber Error] crypto unavailable'
		     */
		    BigNumber.random = (function () {
		      var pow2_53 = 0x20000000000000;

		      // Return a 53 bit integer n, where 0 <= n < 9007199254740992.
		      // Check if Math.random() produces more than 32 bits of randomness.
		      // If it does, assume at least 53 bits are produced, otherwise assume at least 30 bits.
		      // 0x40000000 is 2^30, 0x800000 is 2^23, 0x1fffff is 2^21 - 1.
		      var random53bitInt = (Math.random() * pow2_53) & 0x1fffff
		       ? function () { return mathfloor(Math.random() * pow2_53); }
		       : function () { return ((Math.random() * 0x40000000 | 0) * 0x800000) +
		         (Math.random() * 0x800000 | 0); };

		      return function (dp) {
		        var a, b, e, k, v,
		          i = 0,
		          c = [],
		          rand = new BigNumber(ONE);

		        if (dp == null) dp = DECIMAL_PLACES;
		        else intCheck(dp, 0, MAX);

		        k = mathceil(dp / LOG_BASE);

		        if (CRYPTO) {

		          // Browsers supporting crypto.getRandomValues.
		          if (crypto.getRandomValues) {

		            a = crypto.getRandomValues(new Uint32Array(k *= 2));

		            for (; i < k;) {

		              // 53 bits:
		              // ((Math.pow(2, 32) - 1) * Math.pow(2, 21)).toString(2)
		              // 11111 11111111 11111111 11111111 11100000 00000000 00000000
		              // ((Math.pow(2, 32) - 1) >>> 11).toString(2)
		              //                                     11111 11111111 11111111
		              // 0x20000 is 2^21.
		              v = a[i] * 0x20000 + (a[i + 1] >>> 11);

		              // Rejection sampling:
		              // 0 <= v < 9007199254740992
		              // Probability that v >= 9e15, is
		              // 7199254740992 / 9007199254740992 ~= 0.0008, i.e. 1 in 1251
		              if (v >= 9e15) {
		                b = crypto.getRandomValues(new Uint32Array(2));
		                a[i] = b[0];
		                a[i + 1] = b[1];
		              } else {

		                // 0 <= v <= 8999999999999999
		                // 0 <= (v % 1e14) <= 99999999999999
		                c.push(v % 1e14);
		                i += 2;
		              }
		            }
		            i = k / 2;

		          // Node.js supporting crypto.randomBytes.
		          } else if (crypto.randomBytes) {

		            // buffer
		            a = crypto.randomBytes(k *= 7);

		            for (; i < k;) {

		              // 0x1000000000000 is 2^48, 0x10000000000 is 2^40
		              // 0x100000000 is 2^32, 0x1000000 is 2^24
		              // 11111 11111111 11111111 11111111 11111111 11111111 11111111
		              // 0 <= v < 9007199254740992
		              v = ((a[i] & 31) * 0x1000000000000) + (a[i + 1] * 0x10000000000) +
		                 (a[i + 2] * 0x100000000) + (a[i + 3] * 0x1000000) +
		                 (a[i + 4] << 16) + (a[i + 5] << 8) + a[i + 6];

		              if (v >= 9e15) {
		                crypto.randomBytes(7).copy(a, i);
		              } else {

		                // 0 <= (v % 1e14) <= 99999999999999
		                c.push(v % 1e14);
		                i += 7;
		              }
		            }
		            i = k / 7;
		          } else {
		            CRYPTO = false;
		            throw Error
		             (bignumberError + 'crypto unavailable');
		          }
		        }

		        // Use Math.random.
		        if (!CRYPTO) {

		          for (; i < k;) {
		            v = random53bitInt();
		            if (v < 9e15) c[i++] = v % 1e14;
		          }
		        }

		        k = c[--i];
		        dp %= LOG_BASE;

		        // Convert trailing digits to zeros according to dp.
		        if (k && dp) {
		          v = POWS_TEN[LOG_BASE - dp];
		          c[i] = mathfloor(k / v) * v;
		        }

		        // Remove trailing elements which are zero.
		        for (; c[i] === 0; c.pop(), i--);

		        // Zero?
		        if (i < 0) {
		          c = [e = 0];
		        } else {

		          // Remove leading elements which are zero and adjust exponent accordingly.
		          for (e = -1 ; c[0] === 0; c.splice(0, 1), e -= LOG_BASE);

		          // Count the digits of the first element of c to determine leading zeros, and...
		          for (i = 1, v = c[0]; v >= 10; v /= 10, i++);

		          // adjust the exponent accordingly.
		          if (i < LOG_BASE) e -= LOG_BASE - i;
		        }

		        rand.e = e;
		        rand.c = c;
		        return rand;
		      };
		    })();


		    /*
		     * Return a BigNumber whose value is the sum of the arguments.
		     *
		     * arguments {number|string|BigNumber}
		     */
		    BigNumber.sum = function () {
		      var i = 1,
		        args = arguments,
		        sum = new BigNumber(args[0]);
		      for (; i < args.length;) sum = sum.plus(args[i++]);
		      return sum;
		    };


		    // PRIVATE FUNCTIONS


		    // Called by BigNumber and BigNumber.prototype.toString.
		    convertBase = (function () {
		      var decimal = '0123456789';

		      /*
		       * Convert string of baseIn to an array of numbers of baseOut.
		       * Eg. toBaseOut('255', 10, 16) returns [15, 15].
		       * Eg. toBaseOut('ff', 16, 10) returns [2, 5, 5].
		       */
		      function toBaseOut(str, baseIn, baseOut, alphabet) {
		        var j,
		          arr = [0],
		          arrL,
		          i = 0,
		          len = str.length;

		        for (; i < len;) {
		          for (arrL = arr.length; arrL--; arr[arrL] *= baseIn);

		          arr[0] += alphabet.indexOf(str.charAt(i++));

		          for (j = 0; j < arr.length; j++) {

		            if (arr[j] > baseOut - 1) {
		              if (arr[j + 1] == null) arr[j + 1] = 0;
		              arr[j + 1] += arr[j] / baseOut | 0;
		              arr[j] %= baseOut;
		            }
		          }
		        }

		        return arr.reverse();
		      }

		      // Convert a numeric string of baseIn to a numeric string of baseOut.
		      // If the caller is toString, we are converting from base 10 to baseOut.
		      // If the caller is BigNumber, we are converting from baseIn to base 10.
		      return function (str, baseIn, baseOut, sign, callerIsToString) {
		        var alphabet, d, e, k, r, x, xc, y,
		          i = str.indexOf('.'),
		          dp = DECIMAL_PLACES,
		          rm = ROUNDING_MODE;

		        // Non-integer.
		        if (i >= 0) {
		          k = POW_PRECISION;

		          // Unlimited precision.
		          POW_PRECISION = 0;
		          str = str.replace('.', '');
		          y = new BigNumber(baseIn);
		          x = y.pow(str.length - i);
		          POW_PRECISION = k;

		          // Convert str as if an integer, then restore the fraction part by dividing the
		          // result by its base raised to a power.

		          y.c = toBaseOut(toFixedPoint(coeffToString(x.c), x.e, '0'),
		           10, baseOut, decimal);
		          y.e = y.c.length;
		        }

		        // Convert the number as integer.

		        xc = toBaseOut(str, baseIn, baseOut, callerIsToString
		         ? (alphabet = ALPHABET, decimal)
		         : (alphabet = decimal, ALPHABET));

		        // xc now represents str as an integer and converted to baseOut. e is the exponent.
		        e = k = xc.length;

		        // Remove trailing zeros.
		        for (; xc[--k] == 0; xc.pop());

		        // Zero?
		        if (!xc[0]) return alphabet.charAt(0);

		        // Does str represent an integer? If so, no need for the division.
		        if (i < 0) {
		          --e;
		        } else {
		          x.c = xc;
		          x.e = e;

		          // The sign is needed for correct rounding.
		          x.s = sign;
		          x = div(x, y, dp, rm, baseOut);
		          xc = x.c;
		          r = x.r;
		          e = x.e;
		        }

		        // xc now represents str converted to baseOut.

		        // THe index of the rounding digit.
		        d = e + dp + 1;

		        // The rounding digit: the digit to the right of the digit that may be rounded up.
		        i = xc[d];

		        // Look at the rounding digits and mode to determine whether to round up.

		        k = baseOut / 2;
		        r = r || d < 0 || xc[d + 1] != null;

		        r = rm < 4 ? (i != null || r) && (rm == 0 || rm == (x.s < 0 ? 3 : 2))
		              : i > k || i == k &&(rm == 4 || r || rm == 6 && xc[d - 1] & 1 ||
		               rm == (x.s < 0 ? 8 : 7));

		        // If the index of the rounding digit is not greater than zero, or xc represents
		        // zero, then the result of the base conversion is zero or, if rounding up, a value
		        // such as 0.00001.
		        if (d < 1 || !xc[0]) {

		          // 1^-dp or 0
		          str = r ? toFixedPoint(alphabet.charAt(1), -dp, alphabet.charAt(0)) : alphabet.charAt(0);
		        } else {

		          // Truncate xc to the required number of decimal places.
		          xc.length = d;

		          // Round up?
		          if (r) {

		            // Rounding up may mean the previous digit has to be rounded up and so on.
		            for (--baseOut; ++xc[--d] > baseOut;) {
		              xc[d] = 0;

		              if (!d) {
		                ++e;
		                xc = [1].concat(xc);
		              }
		            }
		          }

		          // Determine trailing zeros.
		          for (k = xc.length; !xc[--k];);

		          // E.g. [4, 11, 15] becomes 4bf.
		          for (i = 0, str = ''; i <= k; str += alphabet.charAt(xc[i++]));

		          // Add leading zeros, decimal point and trailing zeros as required.
		          str = toFixedPoint(str, e, alphabet.charAt(0));
		        }

		        // The caller will add the sign.
		        return str;
		      };
		    })();


		    // Perform division in the specified base. Called by div and convertBase.
		    div = (function () {

		      // Assume non-zero x and k.
		      function multiply(x, k, base) {
		        var m, temp, xlo, xhi,
		          carry = 0,
		          i = x.length,
		          klo = k % SQRT_BASE,
		          khi = k / SQRT_BASE | 0;

		        for (x = x.slice(); i--;) {
		          xlo = x[i] % SQRT_BASE;
		          xhi = x[i] / SQRT_BASE | 0;
		          m = khi * xlo + xhi * klo;
		          temp = klo * xlo + ((m % SQRT_BASE) * SQRT_BASE) + carry;
		          carry = (temp / base | 0) + (m / SQRT_BASE | 0) + khi * xhi;
		          x[i] = temp % base;
		        }

		        if (carry) x = [carry].concat(x);

		        return x;
		      }

		      function compare(a, b, aL, bL) {
		        var i, cmp;

		        if (aL != bL) {
		          cmp = aL > bL ? 1 : -1;
		        } else {

		          for (i = cmp = 0; i < aL; i++) {

		            if (a[i] != b[i]) {
		              cmp = a[i] > b[i] ? 1 : -1;
		              break;
		            }
		          }
		        }

		        return cmp;
		      }

		      function subtract(a, b, aL, base) {
		        var i = 0;

		        // Subtract b from a.
		        for (; aL--;) {
		          a[aL] -= i;
		          i = a[aL] < b[aL] ? 1 : 0;
		          a[aL] = i * base + a[aL] - b[aL];
		        }

		        // Remove leading zeros.
		        for (; !a[0] && a.length > 1; a.splice(0, 1));
		      }

		      // x: dividend, y: divisor.
		      return function (x, y, dp, rm, base) {
		        var cmp, e, i, more, n, prod, prodL, q, qc, rem, remL, rem0, xi, xL, yc0,
		          yL, yz,
		          s = x.s == y.s ? 1 : -1,
		          xc = x.c,
		          yc = y.c;

		        // Either NaN, Infinity or 0?
		        if (!xc || !xc[0] || !yc || !yc[0]) {

		          return new BigNumber(

		           // Return NaN if either NaN, or both Infinity or 0.
		           !x.s || !y.s || (xc ? yc && xc[0] == yc[0] : !yc) ? NaN :

		            // Return ±0 if x is ±0 or y is ±Infinity, or return ±Infinity as y is ±0.
		            xc && xc[0] == 0 || !yc ? s * 0 : s / 0
		         );
		        }

		        q = new BigNumber(s);
		        qc = q.c = [];
		        e = x.e - y.e;
		        s = dp + e + 1;

		        if (!base) {
		          base = BASE;
		          e = bitFloor(x.e / LOG_BASE) - bitFloor(y.e / LOG_BASE);
		          s = s / LOG_BASE | 0;
		        }

		        // Result exponent may be one less then the current value of e.
		        // The coefficients of the BigNumbers from convertBase may have trailing zeros.
		        for (i = 0; yc[i] == (xc[i] || 0); i++);

		        if (yc[i] > (xc[i] || 0)) e--;

		        if (s < 0) {
		          qc.push(1);
		          more = true;
		        } else {
		          xL = xc.length;
		          yL = yc.length;
		          i = 0;
		          s += 2;

		          // Normalise xc and yc so highest order digit of yc is >= base / 2.

		          n = mathfloor(base / (yc[0] + 1));

		          // Not necessary, but to handle odd bases where yc[0] == (base / 2) - 1.
		          // if (n > 1 || n++ == 1 && yc[0] < base / 2) {
		          if (n > 1) {
		            yc = multiply(yc, n, base);
		            xc = multiply(xc, n, base);
		            yL = yc.length;
		            xL = xc.length;
		          }

		          xi = yL;
		          rem = xc.slice(0, yL);
		          remL = rem.length;

		          // Add zeros to make remainder as long as divisor.
		          for (; remL < yL; rem[remL++] = 0);
		          yz = yc.slice();
		          yz = [0].concat(yz);
		          yc0 = yc[0];
		          if (yc[1] >= base / 2) yc0++;
		          // Not necessary, but to prevent trial digit n > base, when using base 3.
		          // else if (base == 3 && yc0 == 1) yc0 = 1 + 1e-15;

		          do {
		            n = 0;

		            // Compare divisor and remainder.
		            cmp = compare(yc, rem, yL, remL);

		            // If divisor < remainder.
		            if (cmp < 0) {

		              // Calculate trial digit, n.

		              rem0 = rem[0];
		              if (yL != remL) rem0 = rem0 * base + (rem[1] || 0);

		              // n is how many times the divisor goes into the current remainder.
		              n = mathfloor(rem0 / yc0);

		              //  Algorithm:
		              //  product = divisor multiplied by trial digit (n).
		              //  Compare product and remainder.
		              //  If product is greater than remainder:
		              //    Subtract divisor from product, decrement trial digit.
		              //  Subtract product from remainder.
		              //  If product was less than remainder at the last compare:
		              //    Compare new remainder and divisor.
		              //    If remainder is greater than divisor:
		              //      Subtract divisor from remainder, increment trial digit.

		              if (n > 1) {

		                // n may be > base only when base is 3.
		                if (n >= base) n = base - 1;

		                // product = divisor * trial digit.
		                prod = multiply(yc, n, base);
		                prodL = prod.length;
		                remL = rem.length;

		                // Compare product and remainder.
		                // If product > remainder then trial digit n too high.
		                // n is 1 too high about 5% of the time, and is not known to have
		                // ever been more than 1 too high.
		                while (compare(prod, rem, prodL, remL) == 1) {
		                  n--;

		                  // Subtract divisor from product.
		                  subtract(prod, yL < prodL ? yz : yc, prodL, base);
		                  prodL = prod.length;
		                  cmp = 1;
		                }
		              } else {

		                // n is 0 or 1, cmp is -1.
		                // If n is 0, there is no need to compare yc and rem again below,
		                // so change cmp to 1 to avoid it.
		                // If n is 1, leave cmp as -1, so yc and rem are compared again.
		                if (n == 0) {

		                  // divisor < remainder, so n must be at least 1.
		                  cmp = n = 1;
		                }

		                // product = divisor
		                prod = yc.slice();
		                prodL = prod.length;
		              }

		              if (prodL < remL) prod = [0].concat(prod);

		              // Subtract product from remainder.
		              subtract(rem, prod, remL, base);
		              remL = rem.length;

		               // If product was < remainder.
		              if (cmp == -1) {

		                // Compare divisor and new remainder.
		                // If divisor < new remainder, subtract divisor from remainder.
		                // Trial digit n too low.
		                // n is 1 too low about 5% of the time, and very rarely 2 too low.
		                while (compare(yc, rem, yL, remL) < 1) {
		                  n++;

		                  // Subtract divisor from remainder.
		                  subtract(rem, yL < remL ? yz : yc, remL, base);
		                  remL = rem.length;
		                }
		              }
		            } else if (cmp === 0) {
		              n++;
		              rem = [0];
		            } // else cmp === 1 and n will be 0

		            // Add the next digit, n, to the result array.
		            qc[i++] = n;

		            // Update the remainder.
		            if (rem[0]) {
		              rem[remL++] = xc[xi] || 0;
		            } else {
		              rem = [xc[xi]];
		              remL = 1;
		            }
		          } while ((xi++ < xL || rem[0] != null) && s--);

		          more = rem[0] != null;

		          // Leading zero?
		          if (!qc[0]) qc.splice(0, 1);
		        }

		        if (base == BASE) {

		          // To calculate q.e, first get the number of digits of qc[0].
		          for (i = 1, s = qc[0]; s >= 10; s /= 10, i++);

		          round(q, dp + (q.e = i + e * LOG_BASE - 1) + 1, rm, more);

		        // Caller is convertBase.
		        } else {
		          q.e = e;
		          q.r = +more;
		        }

		        return q;
		      };
		    })();


		    /*
		     * Return a string representing the value of BigNumber n in fixed-point or exponential
		     * notation rounded to the specified decimal places or significant digits.
		     *
		     * n: a BigNumber.
		     * i: the index of the last digit required (i.e. the digit that may be rounded up).
		     * rm: the rounding mode.
		     * id: 1 (toExponential) or 2 (toPrecision).
		     */
		    function format(n, i, rm, id) {
		      var c0, e, ne, len, str;

		      if (rm == null) rm = ROUNDING_MODE;
		      else intCheck(rm, 0, 8);

		      if (!n.c) return n.toString();

		      c0 = n.c[0];
		      ne = n.e;

		      if (i == null) {
		        str = coeffToString(n.c);
		        str = id == 1 || id == 2 && (ne <= TO_EXP_NEG || ne >= TO_EXP_POS)
		         ? toExponential(str, ne)
		         : toFixedPoint(str, ne, '0');
		      } else {
		        n = round(new BigNumber(n), i, rm);

		        // n.e may have changed if the value was rounded up.
		        e = n.e;

		        str = coeffToString(n.c);
		        len = str.length;

		        // 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 fixed-point notation.

		        // Exponential notation.
		        if (id == 1 || id == 2 && (i <= e || e <= TO_EXP_NEG)) {

		          // Append zeros?
		          for (; len < i; str += '0', len++);
		          str = toExponential(str, e);

		        // Fixed-point notation.
		        } else {
		          i -= ne;
		          str = toFixedPoint(str, e, '0');

		          // Append zeros?
		          if (e + 1 > len) {
		            if (--i > 0) for (str += '.'; i--; str += '0');
		          } else {
		            i += e - len;
		            if (i > 0) {
		              if (e + 1 == len) str += '.';
		              for (; i--; str += '0');
		            }
		          }
		        }
		      }

		      return n.s < 0 && c0 ? '-' + str : str;
		    }


		    // Handle BigNumber.max and BigNumber.min.
		    // If any number is NaN, return NaN.
		    function maxOrMin(args, n) {
		      var k, y,
		        i = 1,
		        x = new BigNumber(args[0]);

		      for (; i < args.length; i++) {
		        y = new BigNumber(args[i]);
		        if (!y.s || (k = compare(x, y)) === n || k === 0 && x.s === n) {
		          x = y;
		        }
		      }

		      return x;
		    }


		    /*
		     * Strip trailing zeros, calculate base 10 exponent and check against MIN_EXP and MAX_EXP.
		     * Called by minus, plus and times.
		     */
		    function normalise(n, c, e) {
		      var i = 1,
		        j = c.length;

		       // Remove trailing zeros.
		      for (; !c[--j]; c.pop());

		      // Calculate the base 10 exponent. First get the number of digits of c[0].
		      for (j = c[0]; j >= 10; j /= 10, i++);

		      // Overflow?
		      if ((e = i + e * LOG_BASE - 1) > MAX_EXP) {

		        // Infinity.
		        n.c = n.e = null;

		      // Underflow?
		      } else if (e < MIN_EXP) {

		        // Zero.
		        n.c = [n.e = 0];
		      } else {
		        n.e = e;
		        n.c = c;
		      }

		      return n;
		    }


		    // Handle values that fail the validity test in BigNumber.
		    parseNumeric = (function () {
		      var basePrefix = /^(-?)0([xbo])(?=\w[\w.]*$)/i,
		        dotAfter = /^([^.]+)\.$/,
		        dotBefore = /^\.([^.]+)$/,
		        isInfinityOrNaN = /^-?(Infinity|NaN)$/,
		        whitespaceOrPlus = /^\s*\+(?=[\w.])|^\s+|\s+$/g;

		      return function (x, str, isNum, b) {
		        var base,
		          s = isNum ? str : str.replace(whitespaceOrPlus, '');

		        // No exception on ±Infinity or NaN.
		        if (isInfinityOrNaN.test(s)) {
		          x.s = isNaN(s) ? null : s < 0 ? -1 : 1;
		        } else {
		          if (!isNum) {

		            // basePrefix = /^(-?)0([xbo])(?=\w[\w.]*$)/i
		            s = s.replace(basePrefix, function (m, p1, p2) {
		              base = (p2 = p2.toLowerCase()) == 'x' ? 16 : p2 == 'b' ? 2 : 8;
		              return !b || b == base ? p1 : m;
		            });

		            if (b) {
		              base = b;

		              // E.g. '1.' to '1', '.1' to '0.1'
		              s = s.replace(dotAfter, '$1').replace(dotBefore, '0.$1');
		            }

		            if (str != s) return new BigNumber(s, base);
		          }

		          // '[BigNumber Error] Not a number: {n}'
		          // '[BigNumber Error] Not a base {b} number: {n}'
		          if (BigNumber.DEBUG) {
		            throw Error
		              (bignumberError + 'Not a' + (b ? ' base ' + b : '') + ' number: ' + str);
		          }

		          // NaN
		          x.s = null;
		        }

		        x.c = x.e = null;
		      }
		    })();


		    /*
		     * Round x to sd significant digits using rounding mode rm. Check for over/under-flow.
		     * If r is truthy, it is known that there are more digits after the rounding digit.
		     */
		    function round(x, sd, rm, r) {
		      var d, i, j, k, n, ni, rd,
		        xc = x.c,
		        pows10 = POWS_TEN;

		      // if x is not Infinity or NaN...
		      if (xc) {

		        // rd is the rounding digit, i.e. the digit after the digit that may be rounded up.
		        // n is a base 1e14 number, the value of the element of array x.c containing rd.
		        // ni is the index of n within x.c.
		        // d is the number of digits of n.
		        // i is the index of rd within n including leading zeros.
		        // j is the actual index of rd within n (if < 0, rd is a leading zero).
		        out: {

		          // Get the number of digits of the first element of xc.
		          for (d = 1, k = xc[0]; k >= 10; k /= 10, d++);
		          i = sd - d;

		          // If the rounding digit is in the first element of xc...
		          if (i < 0) {
		            i += LOG_BASE;
		            j = sd;
		            n = xc[ni = 0];

		            // Get the rounding digit at index j of n.
		            rd = mathfloor(n / pows10[d - j - 1] % 10);
		          } else {
		            ni = mathceil((i + 1) / LOG_BASE);

		            if (ni >= xc.length) {

		              if (r) {

		                // Needed by sqrt.
		                for (; xc.length <= ni; xc.push(0));
		                n = rd = 0;
		                d = 1;
		                i %= LOG_BASE;
		                j = i - LOG_BASE + 1;
		              } else {
		                break out;
		              }
		            } else {
		              n = k = xc[ni];

		              // Get the number of digits of n.
		              for (d = 1; k >= 10; k /= 10, d++);

		              // Get the index of rd within n.
		              i %= LOG_BASE;

		              // Get the index of rd within n, adjusted for leading zeros.
		              // The number of leading zeros of n is given by LOG_BASE - d.
		              j = i - LOG_BASE + d;

		              // Get the rounding digit at index j of n.
		              rd = j < 0 ? 0 : mathfloor(n / pows10[d - j - 1] % 10);
		            }
		          }

		          r = r || sd < 0 ||

		          // Are there any non-zero digits after the rounding digit?
		          // The expression  n % pows10[d - j - 1]  returns all digits of n to the right
		          // of the digit at j, e.g. if n is 908714 and j is 2, the expression gives 714.
		           xc[ni + 1] != null || (j < 0 ? n : n % pows10[d - j - 1]);

		          r = rm < 4
		           ? (rd || r) && (rm == 0 || rm == (x.s < 0 ? 3 : 2))
		           : rd > 5 || rd == 5 && (rm == 4 || r || rm == 6 &&

		            // Check whether the digit to the left of the rounding digit is odd.
		            ((i > 0 ? j > 0 ? n / pows10[d - j] : 0 : xc[ni - 1]) % 10) & 1 ||
		             rm == (x.s < 0 ? 8 : 7));

		          if (sd < 1 || !xc[0]) {
		            xc.length = 0;

		            if (r) {

		              // Convert sd to decimal places.
		              sd -= x.e + 1;

		              // 1, 0.1, 0.01, 0.001, 0.0001 etc.
		              xc[0] = pows10[(LOG_BASE - sd % LOG_BASE) % LOG_BASE];
		              x.e = -sd || 0;
		            } else {

		              // Zero.
		              xc[0] = x.e = 0;
		            }

		            return x;
		          }

		          // Remove excess digits.
		          if (i == 0) {
		            xc.length = ni;
		            k = 1;
		            ni--;
		          } else {
		            xc.length = ni + 1;
		            k = pows10[LOG_BASE - i];

		            // E.g. 56700 becomes 56000 if 7 is the rounding digit.
		            // j > 0 means i > number of leading zeros of n.
		            xc[ni] = j > 0 ? mathfloor(n / pows10[d - j] % pows10[j]) * k : 0;
		          }

		          // Round up?
		          if (r) {

		            for (; ;) {

		              // If the digit to be rounded up is in the first element of xc...
		              if (ni == 0) {

		                // i will be the length of xc[0] before k is added.
		                for (i = 1, j = xc[0]; j >= 10; j /= 10, i++);
		                j = xc[0] += k;
		                for (k = 1; j >= 10; j /= 10, k++);

		                // if i != k the length has increased.
		                if (i != k) {
		                  x.e++;
		                  if (xc[0] == BASE) xc[0] = 1;
		                }

		                break;
		              } else {
		                xc[ni] += k;
		                if (xc[ni] != BASE) break;
		                xc[ni--] = 0;
		                k = 1;
		              }
		            }
		          }

		          // Remove trailing zeros.
		          for (i = xc.length; xc[--i] === 0; xc.pop());
		        }

		        // Overflow? Infinity.
		        if (x.e > MAX_EXP) {
		          x.c = x.e = null;

		        // Underflow? Zero.
		        } else if (x.e < MIN_EXP) {
		          x.c = [x.e = 0];
		        }
		      }

		      return x;
		    }


		    function valueOf(n) {
		      var str,
		        e = n.e;

		      if (e === null) return n.toString();

		      str = coeffToString(n.c);

		      str = e <= TO_EXP_NEG || e >= TO_EXP_POS
		        ? toExponential(str, e)
		        : toFixedPoint(str, e, '0');

		      return n.s < 0 ? '-' + str : str;
		    }


		    // PROTOTYPE/INSTANCE METHODS


		    /*
		     * Return a new BigNumber whose value is the absolute value of this BigNumber.
		     */
		    P.absoluteValue = P.abs = function () {
		      var x = new BigNumber(this);
		      if (x.s < 0) x.s = 1;
		      return x;
		    };


		    /*
		     * Return
		     *   1 if the value of this BigNumber is greater than the value of BigNumber(y, b),
		     *   -1 if the value of this BigNumber is less than the value of BigNumber(y, b),
		     *   0 if they have the same value,
		     *   or null if the value of either is NaN.
		     */
		    P.comparedTo = function (y, b) {
		      return compare(this, new BigNumber(y, b));
		    };


		    /*
		     * If dp is undefined or null or true or false, return the number of decimal places of the
		     * value of this BigNumber, or null if the value of this BigNumber is ±Infinity or NaN.
		     *
		     * Otherwise, if dp is a number, return a new BigNumber whose value is the value of this
		     * BigNumber rounded to a maximum of dp decimal places using rounding mode rm, or
		     * ROUNDING_MODE if rm is omitted.
		     *
		     * [dp] {number} Decimal places: integer, 0 to MAX inclusive.
		     * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {dp|rm}'
		     */
		    P.decimalPlaces = P.dp = function (dp, rm) {
		      var c, n, v,
		        x = this;

		      if (dp != null) {
		        intCheck(dp, 0, MAX);
		        if (rm == null) rm = ROUNDING_MODE;
		        else intCheck(rm, 0, 8);

		        return round(new BigNumber(x), dp + x.e + 1, rm);
		      }

		      if (!(c = x.c)) return null;
		      n = ((v = c.length - 1) - bitFloor(this.e / LOG_BASE)) * LOG_BASE;

		      // Subtract the number of trailing zeros of the last number.
		      if (v = c[v]) for (; v % 10 == 0; v /= 10, n--);
		      if (n < 0) n = 0;

		      return n;
		    };


		    /*
		     *  n / 0 = I
		     *  n / N = N
		     *  n / I = 0
		     *  0 / n = 0
		     *  0 / 0 = N
		     *  0 / N = N
		     *  0 / I = 0
		     *  N / n = N
		     *  N / 0 = N
		     *  N / N = N
		     *  N / I = N
		     *  I / n = I
		     *  I / 0 = I
		     *  I / N = N
		     *  I / I = N
		     *
		     * Return a new BigNumber whose value is the value of this BigNumber divided by the value of
		     * BigNumber(y, b), rounded according to DECIMAL_PLACES and ROUNDING_MODE.
		     */
		    P.dividedBy = P.div = function (y, b) {
		      return div(this, new BigNumber(y, b), DECIMAL_PLACES, ROUNDING_MODE);
		    };


		    /*
		     * Return a new BigNumber whose value is the integer part of dividing the value of this
		     * BigNumber by the value of BigNumber(y, b).
		     */
		    P.dividedToIntegerBy = P.idiv = function (y, b) {
		      return div(this, new BigNumber(y, b), 0, 1);
		    };


		    /*
		     * Return a BigNumber whose value is the value of this BigNumber exponentiated by n.
		     *
		     * If m is present, return the result modulo m.
		     * If n is negative round according to DECIMAL_PLACES and ROUNDING_MODE.
		     * If POW_PRECISION is non-zero and m is not present, round to POW_PRECISION using ROUNDING_MODE.
		     *
		     * The modular power operation works efficiently when x, n, and m are integers, otherwise it
		     * is equivalent to calculating x.exponentiatedBy(n).modulo(m) with a POW_PRECISION of 0.
		     *
		     * n {number|string|BigNumber} The exponent. An integer.
		     * [m] {number|string|BigNumber} The modulus.
		     *
		     * '[BigNumber Error] Exponent not an integer: {n}'
		     */
		    P.exponentiatedBy = P.pow = function (n, m) {
		      var half, isModExp, i, k, more, nIsBig, nIsNeg, nIsOdd, y,
		        x = this;

		      n = new BigNumber(n);

		      // Allow NaN and ±Infinity, but not other non-integers.
		      if (n.c && !n.isInteger()) {
		        throw Error
		          (bignumberError + 'Exponent not an integer: ' + valueOf(n));
		      }

		      if (m != null) m = new BigNumber(m);

		      // Exponent of MAX_SAFE_INTEGER is 15.
		      nIsBig = n.e > 14;

		      // If x is NaN, ±Infinity, ±0 or ±1, or n is ±Infinity, NaN or ±0.
		      if (!x.c || !x.c[0] || x.c[0] == 1 && !x.e && x.c.length == 1 || !n.c || !n.c[0]) {

		        // The sign of the result of pow when x is negative depends on the evenness of n.
		        // If +n overflows to ±Infinity, the evenness of n would be not be known.
		        y = new BigNumber(Math.pow(+valueOf(x), nIsBig ? n.s * (2 - isOdd(n)) : +valueOf(n)));
		        return m ? y.mod(m) : y;
		      }

		      nIsNeg = n.s < 0;

		      if (m) {

		        // x % m returns NaN if abs(m) is zero, or m is NaN.
		        if (m.c ? !m.c[0] : !m.s) return new BigNumber(NaN);

		        isModExp = !nIsNeg && x.isInteger() && m.isInteger();

		        if (isModExp) x = x.mod(m);

		      // Overflow to ±Infinity: >=2**1e10 or >=1.0000024**1e15.
		      // Underflow to ±0: <=0.79**1e10 or <=0.9999975**1e15.
		      } else if (n.e > 9 && (x.e > 0 || x.e < -1 || (x.e == 0
		        // [1, 240000000]
		        ? x.c[0] > 1 || nIsBig && x.c[1] >= 24e7
		        // [80000000000000]  [99999750000000]
		        : x.c[0] < 8e13 || nIsBig && x.c[0] <= 9999975e7))) {

		        // If x is negative and n is odd, k = -0, else k = 0.
		        k = x.s < 0 && isOdd(n) ? -0 : 0;

		        // If x >= 1, k = ±Infinity.
		        if (x.e > -1) k = 1 / k;

		        // If n is negative return ±0, else return ±Infinity.
		        return new BigNumber(nIsNeg ? 1 / k : k);

		      } else if (POW_PRECISION) {

		        // Truncating each coefficient array to a length of k after each multiplication
		        // equates to truncating significant digits to POW_PRECISION + [28, 41],
		        // i.e. there will be a minimum of 28 guard digits retained.
		        k = mathceil(POW_PRECISION / LOG_BASE + 2);
		      }

		      if (nIsBig) {
		        half = new BigNumber(0.5);
		        if (nIsNeg) n.s = 1;
		        nIsOdd = isOdd(n);
		      } else {
		        i = Math.abs(+valueOf(n));
		        nIsOdd = i % 2;
		      }

		      y = new BigNumber(ONE);

		      // Performs 54 loop iterations for n of 9007199254740991.
		      for (; ;) {

		        if (nIsOdd) {
		          y = y.times(x);
		          if (!y.c) break;

		          if (k) {
		            if (y.c.length > k) y.c.length = k;
		          } else if (isModExp) {
		            y = y.mod(m);    //y = y.minus(div(y, m, 0, MODULO_MODE).times(m));
		          }
		        }

		        if (i) {
		          i = mathfloor(i / 2);
		          if (i === 0) break;
		          nIsOdd = i % 2;
		        } else {
		          n = n.times(half);
		          round(n, n.e + 1, 1);

		          if (n.e > 14) {
		            nIsOdd = isOdd(n);
		          } else {
		            i = +valueOf(n);
		            if (i === 0) break;
		            nIsOdd = i % 2;
		          }
		        }

		        x = x.times(x);

		        if (k) {
		          if (x.c && x.c.length > k) x.c.length = k;
		        } else if (isModExp) {
		          x = x.mod(m);    //x = x.minus(div(x, m, 0, MODULO_MODE).times(m));
		        }
		      }

		      if (isModExp) return y;
		      if (nIsNeg) y = ONE.div(y);

		      return m ? y.mod(m) : k ? round(y, POW_PRECISION, ROUNDING_MODE, more) : y;
		    };


		    /*
		     * Return a new BigNumber whose value is the value of this BigNumber rounded to an integer
		     * using rounding mode rm, or ROUNDING_MODE if rm is omitted.
		     *
		     * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {rm}'
		     */
		    P.integerValue = function (rm) {
		      var n = new BigNumber(this);
		      if (rm == null) rm = ROUNDING_MODE;
		      else intCheck(rm, 0, 8);
		      return round(n, n.e + 1, rm);
		    };


		    /*
		     * Return true if the value of this BigNumber is equal to the value of BigNumber(y, b),
		     * otherwise return false.
		     */
		    P.isEqualTo = P.eq = function (y, b) {
		      return compare(this, new BigNumber(y, b)) === 0;
		    };


		    /*
		     * Return true if the value of this BigNumber is a finite number, otherwise return false.
		     */
		    P.isFinite = function () {
		      return !!this.c;
		    };


		    /*
		     * Return true if the value of this BigNumber is greater than the value of BigNumber(y, b),
		     * otherwise return false.
		     */
		    P.isGreaterThan = P.gt = function (y, b) {
		      return compare(this, new BigNumber(y, b)) > 0;
		    };


		    /*
		     * Return true if the value of this BigNumber is greater than or equal to the value of
		     * BigNumber(y, b), otherwise return false.
		     */
		    P.isGreaterThanOrEqualTo = P.gte = function (y, b) {
		      return (b = compare(this, new BigNumber(y, b))) === 1 || b === 0;

		    };


		    /*
		     * Return true if the value of this BigNumber is an integer, otherwise return false.
		     */
		    P.isInteger = function () {
		      return !!this.c && bitFloor(this.e / LOG_BASE) > this.c.length - 2;
		    };


		    /*
		     * Return true if the value of this BigNumber is less than the value of BigNumber(y, b),
		     * otherwise return false.
		     */
		    P.isLessThan = P.lt = function (y, b) {
		      return compare(this, new BigNumber(y, b)) < 0;
		    };


		    /*
		     * Return true if the value of this BigNumber is less than or equal to the value of
		     * BigNumber(y, b), otherwise return false.
		     */
		    P.isLessThanOrEqualTo = P.lte = function (y, b) {
		      return (b = compare(this, new BigNumber(y, b))) === -1 || b === 0;
		    };


		    /*
		     * Return true if the value of this BigNumber is NaN, otherwise return false.
		     */
		    P.isNaN = function () {
		      return !this.s;
		    };


		    /*
		     * Return true if the value of this BigNumber is negative, otherwise return false.
		     */
		    P.isNegative = function () {
		      return this.s < 0;
		    };


		    /*
		     * Return true if the value of this BigNumber is positive, otherwise return false.
		     */
		    P.isPositive = function () {
		      return this.s > 0;
		    };


		    /*
		     * Return true if the value of this BigNumber is 0 or -0, otherwise return false.
		     */
		    P.isZero = function () {
		      return !!this.c && this.c[0] == 0;
		    };


		    /*
		     *  n - 0 = n
		     *  n - N = N
		     *  n - I = -I
		     *  0 - n = -n
		     *  0 - 0 = 0
		     *  0 - N = N
		     *  0 - I = -I
		     *  N - n = N
		     *  N - 0 = N
		     *  N - N = N
		     *  N - I = N
		     *  I - n = I
		     *  I - 0 = I
		     *  I - N = N
		     *  I - I = N
		     *
		     * Return a new BigNumber whose value is the value of this BigNumber minus the value of
		     * BigNumber(y, b).
		     */
		    P.minus = function (y, b) {
		      var i, j, t, xLTy,
		        x = this,
		        a = x.s;

		      y = new BigNumber(y, b);
		      b = y.s;

		      // Either NaN?
		      if (!a || !b) return new BigNumber(NaN);

		      // Signs differ?
		      if (a != b) {
		        y.s = -b;
		        return x.plus(y);
		      }

		      var xe = x.e / LOG_BASE,
		        ye = y.e / LOG_BASE,
		        xc = x.c,
		        yc = y.c;

		      if (!xe || !ye) {

		        // Either Infinity?
		        if (!xc || !yc) return xc ? (y.s = -b, y) : new BigNumber(yc ? x : NaN);

		        // Either zero?
		        if (!xc[0] || !yc[0]) {

		          // Return y if y is non-zero, x if x is non-zero, or zero if both are zero.
		          return yc[0] ? (y.s = -b, y) : new BigNumber(xc[0] ? x :

		           // IEEE 754 (2008) 6.3: n - n = -0 when rounding to -Infinity
		           ROUNDING_MODE == 3 ? -0 : 0);
		        }
		      }

		      xe = bitFloor(xe);
		      ye = bitFloor(ye);
		      xc = xc.slice();

		      // Determine which is the bigger number.
		      if (a = xe - ye) {

		        if (xLTy = a < 0) {
		          a = -a;
		          t = xc;
		        } else {
		          ye = xe;
		          t = yc;
		        }

		        t.reverse();

		        // Prepend zeros to equalise exponents.
		        for (b = a; b--; t.push(0));
		        t.reverse();
		      } else {

		        // Exponents equal. Check digit by digit.
		        j = (xLTy = (a = xc.length) < (b = yc.length)) ? a : b;

		        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;
		      }

		      b = (j = yc.length) - (i = xc.length);

		      // Append zeros to xc if shorter.
		      // No need to add zeros to yc if shorter as subtract only needs to start at yc.length.
		      if (b > 0) for (; b--; xc[i++] = 0);
		      b = BASE - 1;

		      // Subtract yc from xc.
		      for (; j > a;) {

		        if (xc[--j] < yc[j]) {
		          for (i = j; i && !xc[--i]; xc[i] = b);
		          --xc[i];
		          xc[j] += BASE;
		        }

		        xc[j] -= yc[j];
		      }

		      // Remove leading zeros and adjust exponent accordingly.
		      for (; xc[0] == 0; xc.splice(0, 1), --ye);

		      // Zero?
		      if (!xc[0]) {

		        // Following IEEE 754 (2008) 6.3,
		        // n - n = +0  but  n - n = -0  when rounding towards -Infinity.
		        y.s = ROUNDING_MODE == 3 ? -1 : 1;
		        y.c = [y.e = 0];
		        return y;
		      }

		      // No need to check for Infinity as +x - +y != Infinity && -x - -y != Infinity
		      // for finite x and y.
		      return normalise(y, xc, ye);
		    };


		    /*
		     *   n % 0 =  N
		     *   n % N =  N
		     *   n % I =  n
		     *   0 % n =  0
		     *  -0 % n = -0
		     *   0 % 0 =  N
		     *   0 % N =  N
		     *   0 % I =  0
		     *   N % n =  N
		     *   N % 0 =  N
		     *   N % N =  N
		     *   N % I =  N
		     *   I % n =  N
		     *   I % 0 =  N
		     *   I % N =  N
		     *   I % I =  N
		     *
		     * Return a new BigNumber whose value is the value of this BigNumber modulo the value of
		     * BigNumber(y, b). The result depends on the value of MODULO_MODE.
		     */
		    P.modulo = P.mod = function (y, b) {
		      var q, s,
		        x = this;

		      y = new BigNumber(y, b);

		      // Return NaN if x is Infinity or NaN, or y is NaN or zero.
		      if (!x.c || !y.s || y.c && !y.c[0]) {
		        return new BigNumber(NaN);

		      // Return x if y is Infinity or x is zero.
		      } else if (!y.c || x.c && !x.c[0]) {
		        return new BigNumber(x);
		      }

		      if (MODULO_MODE == 9) {

		        // Euclidian division: q = sign(y) * floor(x / abs(y))
		        // r = x - qy    where  0 <= r < abs(y)
		        s = y.s;
		        y.s = 1;
		        q = div(x, y, 0, 3);
		        y.s = s;
		        q.s *= s;
		      } else {
		        q = div(x, y, 0, MODULO_MODE);
		      }

		      y = x.minus(q.times(y));

		      // To match JavaScript %, ensure sign of zero is sign of dividend.
		      if (!y.c[0] && MODULO_MODE == 1) y.s = x.s;

		      return y;
		    };


		    /*
		     *  n * 0 = 0
		     *  n * N = N
		     *  n * I = I
		     *  0 * n = 0
		     *  0 * 0 = 0
		     *  0 * N = N
		     *  0 * I = N
		     *  N * n = N
		     *  N * 0 = N
		     *  N * N = N
		     *  N * I = N
		     *  I * n = I
		     *  I * 0 = N
		     *  I * N = N
		     *  I * I = I
		     *
		     * Return a new BigNumber whose value is the value of this BigNumber multiplied by the value
		     * of BigNumber(y, b).
		     */
		    P.multipliedBy = P.times = function (y, b) {
		      var c, e, i, j, k, m, xcL, xlo, xhi, ycL, ylo, yhi, zc,
		        base, sqrtBase,
		        x = this,
		        xc = x.c,
		        yc = (y = new BigNumber(y, b)).c;

		      // Either NaN, ±Infinity or ±0?
		      if (!xc || !yc || !xc[0] || !yc[0]) {

		        // Return NaN if either is NaN, or one is 0 and the other is Infinity.
		        if (!x.s || !y.s || xc && !xc[0] && !yc || yc && !yc[0] && !xc) {
		          y.c = y.e = y.s = null;
		        } else {
		          y.s *= x.s;

		          // Return ±Infinity if either is ±Infinity.
		          if (!xc || !yc) {
		            y.c = y.e = null;

		          // Return ±0 if either is ±0.
		          } else {
		            y.c = [0];
		            y.e = 0;
		          }
		        }

		        return y;
		      }

		      e = bitFloor(x.e / LOG_BASE) + bitFloor(y.e / LOG_BASE);
		      y.s *= x.s;
		      xcL = xc.length;
		      ycL = yc.length;

		      // Ensure xc points to longer array and xcL to its length.
		      if (xcL < ycL) {
		        zc = xc;
		        xc = yc;
		        yc = zc;
		        i = xcL;
		        xcL = ycL;
		        ycL = i;
		      }

		      // Initialise the result array with zeros.
		      for (i = xcL + ycL, zc = []; i--; zc.push(0));

		      base = BASE;
		      sqrtBase = SQRT_BASE;

		      for (i = ycL; --i >= 0;) {
		        c = 0;
		        ylo = yc[i] % sqrtBase;
		        yhi = yc[i] / sqrtBase | 0;

		        for (k = xcL, j = i + k; j > i;) {
		          xlo = xc[--k] % sqrtBase;
		          xhi = xc[k] / sqrtBase | 0;
		          m = yhi * xlo + xhi * ylo;
		          xlo = ylo * xlo + ((m % sqrtBase) * sqrtBase) + zc[j] + c;
		          c = (xlo / base | 0) + (m / sqrtBase | 0) + yhi * xhi;
		          zc[j--] = xlo % base;
		        }

		        zc[j] = c;
		      }

		      if (c) {
		        ++e;
		      } else {
		        zc.splice(0, 1);
		      }

		      return normalise(y, zc, e);
		    };


		    /*
		     * Return a new BigNumber whose value is the value of this BigNumber negated,
		     * i.e. multiplied by -1.
		     */
		    P.negated = function () {
		      var x = new BigNumber(this);
		      x.s = -x.s || null;
		      return x;
		    };


		    /*
		     *  n + 0 = n
		     *  n + N = N
		     *  n + I = I
		     *  0 + n = n
		     *  0 + 0 = 0
		     *  0 + N = N
		     *  0 + I = I
		     *  N + n = N
		     *  N + 0 = N
		     *  N + N = N
		     *  N + I = N
		     *  I + n = I
		     *  I + 0 = I
		     *  I + N = N
		     *  I + I = I
		     *
		     * Return a new BigNumber whose value is the value of this BigNumber plus the value of
		     * BigNumber(y, b).
		     */
		    P.plus = function (y, b) {
		      var t,
		        x = this,
		        a = x.s;

		      y = new BigNumber(y, b);
		      b = y.s;

		      // Either NaN?
		      if (!a || !b) return new BigNumber(NaN);

		      // Signs differ?
		       if (a != b) {
		        y.s = -b;
		        return x.minus(y);
		      }

		      var xe = x.e / LOG_BASE,
		        ye = y.e / LOG_BASE,
		        xc = x.c,
		        yc = y.c;

		      if (!xe || !ye) {

		        // Return ±Infinity if either ±Infinity.
		        if (!xc || !yc) return new BigNumber(a / 0);

		        // Either zero?
		        // Return y if y is non-zero, x if x is non-zero, or zero if both are zero.
		        if (!xc[0] || !yc[0]) return yc[0] ? y : new BigNumber(xc[0] ? x : a * 0);
		      }

		      xe = bitFloor(xe);
		      ye = bitFloor(ye);
		      xc = xc.slice();

		      // Prepend zeros to equalise exponents. 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();
		      }

		      a = xc.length;
		      b = yc.length;

		      // Point xc to the longer array, and b to the shorter length.
		      if (a - b < 0) {
		        t = yc;
		        yc = xc;
		        xc = t;
		        b = a;
		      }

		      // Only start adding at yc.length - 1 as the further digits of xc can be ignored.
		      for (a = 0; b;) {
		        a = (xc[--b] = xc[b] + yc[b] + a) / BASE | 0;
		        xc[b] = BASE === xc[b] ? 0 : xc[b] % BASE;
		      }

		      if (a) {
		        xc = [a].concat(xc);
		        ++ye;
		      }

		      // No need to check for zero, as +x + +y != 0 && -x + -y != 0
		      // ye = MAX_EXP + 1 possible
		      return normalise(y, xc, ye);
		    };


		    /*
		     * If sd is undefined or null or true or false, return the number of significant digits of
		     * the value of this BigNumber, or null if the value of this BigNumber is ±Infinity or NaN.
		     * If sd is true include integer-part trailing zeros in the count.
		     *
		     * Otherwise, if sd is a number, return a new BigNumber whose value is the value of this
		     * BigNumber rounded to a maximum of sd significant digits using rounding mode rm, or
		     * ROUNDING_MODE if rm is omitted.
		     *
		     * sd {number|boolean} number: significant digits: integer, 1 to MAX inclusive.
		     *                     boolean: whether to count integer-part trailing zeros: true or false.
		     * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {sd|rm}'
		     */
		    P.precision = P.sd = function (sd, rm) {
		      var c, n, v,
		        x = this;

		      if (sd != null && sd !== !!sd) {
		        intCheck(sd, 1, MAX);
		        if (rm == null) rm = ROUNDING_MODE;
		        else intCheck(rm, 0, 8);

		        return round(new BigNumber(x), sd, rm);
		      }

		      if (!(c = x.c)) return null;
		      v = c.length - 1;
		      n = v * LOG_BASE + 1;

		      if (v = c[v]) {

		        // Subtract the number of trailing zeros of the last element.
		        for (; v % 10 == 0; v /= 10, n--);

		        // Add the number of digits of the first element.
		        for (v = c[0]; v >= 10; v /= 10, n++);
		      }

		      if (sd && x.e + 1 > n) n = x.e + 1;

		      return n;
		    };


		    /*
		     * Return a new BigNumber whose value is the value of this BigNumber shifted by k places
		     * (powers of 10). Shift to the right if n > 0, and to the left if n < 0.
		     *
		     * k {number} Integer, -MAX_SAFE_INTEGER to MAX_SAFE_INTEGER inclusive.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {k}'
		     */
		    P.shiftedBy = function (k) {
		      intCheck(k, -MAX_SAFE_INTEGER, MAX_SAFE_INTEGER);
		      return this.times('1e' + k);
		    };


		    /*
		     *  sqrt(-n) =  N
		     *  sqrt(N) =  N
		     *  sqrt(-I) =  N
		     *  sqrt(I) =  I
		     *  sqrt(0) =  0
		     *  sqrt(-0) = -0
		     *
		     * Return a new BigNumber whose value is the square root of the value of this BigNumber,
		     * rounded according to DECIMAL_PLACES and ROUNDING_MODE.
		     */
		    P.squareRoot = P.sqrt = function () {
		      var m, n, r, rep, t,
		        x = this,
		        c = x.c,
		        s = x.s,
		        e = x.e,
		        dp = DECIMAL_PLACES + 4,
		        half = new BigNumber('0.5');

		      // Negative/NaN/Infinity/zero?
		      if (s !== 1 || !c || !c[0]) {
		        return new BigNumber(!s || s < 0 && (!c || c[0]) ? NaN : c ? x : 1 / 0);
		      }

		      // Initial estimate.
		      s = Math.sqrt(+valueOf(x));

		      // Math.sqrt underflow/overflow?
		      // Pass x to Math.sqrt as integer, then adjust the exponent of the result.
		      if (s == 0 || s == 1 / 0) {
		        n = coeffToString(c);
		        if ((n.length + e) % 2 == 0) n += '0';
		        s = Math.sqrt(+n);
		        e = bitFloor((e + 1) / 2) - (e < 0 || e % 2);

		        if (s == 1 / 0) {
		          n = '5e' + e;
		        } else {
		          n = s.toExponential();
		          n = n.slice(0, n.indexOf('e') + 1) + e;
		        }

		        r = new BigNumber(n);
		      } else {
		        r = new BigNumber(s + '');
		      }

		      // Check for zero.
		      // r could be zero if MIN_EXP is changed after the this value was created.
		      // This would cause a division by zero (x/t) and hence Infinity below, which would cause
		      // coeffToString to throw.
		      if (r.c[0]) {
		        e = r.e;
		        s = e + dp;
		        if (s < 3) s = 0;

		        // Newton-Raphson iteration.
		        for (; ;) {
		          t = r;
		          r = half.times(t.plus(div(x, t, dp, 1)));

		          if (coeffToString(t.c).slice(0, s) === (n = coeffToString(r.c)).slice(0, s)) {

		            // The exponent of r may here be one less than the final result exponent,
		            // e.g 0.0009999 (e-4) --> 0.001 (e-3), so adjust s so the rounding digits
		            // are indexed correctly.
		            if (r.e < e) --s;
		            n = n.slice(s - 3, s + 1);

		            // The 4th rounding digit may be in error by -1 so if the 4 rounding digits
		            // are 9999 or 4999 (i.e. approaching a rounding boundary) continue the
		            // iteration.
		            if (n == '9999' || !rep && n == '4999') {

		              // On the first iteration only, check to see if rounding up gives the
		              // exact result as the nines may infinitely repeat.
		              if (!rep) {
		                round(t, t.e + DECIMAL_PLACES + 2, 0);

		                if (t.times(t).eq(x)) {
		                  r = t;
		                  break;
		                }
		              }

		              dp += 4;
		              s += 4;
		              rep = 1;
		            } else {

		              // If rounding digits are null, 0{0,4} or 50{0,3}, check for exact
		              // result. If not, then there are further digits and m will be truthy.
		              if (!+n || !+n.slice(1) && n.charAt(0) == '5') {

		                // Truncate to the first rounding digit.
		                round(r, r.e + DECIMAL_PLACES + 2, 1);
		                m = !r.times(r).eq(x);
		              }

		              break;
		            }
		          }
		        }
		      }

		      return round(r, r.e + DECIMAL_PLACES + 1, ROUNDING_MODE, m);
		    };


		    /*
		     * Return a string representing the value of this BigNumber in exponential notation and
		     * rounded using ROUNDING_MODE to dp fixed decimal places.
		     *
		     * [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
		     * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {dp|rm}'
		     */
		    P.toExponential = function (dp, rm) {
		      if (dp != null) {
		        intCheck(dp, 0, MAX);
		        dp++;
		      }
		      return format(this, dp, rm, 1);
		    };


		    /*
		     * Return a string representing the value of this BigNumber in fixed-point notation rounding
		     * to dp fixed decimal places using rounding mode rm, or ROUNDING_MODE if rm is omitted.
		     *
		     * Note: as with JavaScript's number type, (-0).toFixed(0) is '0',
		     * but e.g. (-0.00001).toFixed(0) is '-0'.
		     *
		     * [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
		     * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {dp|rm}'
		     */
		    P.toFixed = function (dp, rm) {
		      if (dp != null) {
		        intCheck(dp, 0, MAX);
		        dp = dp + this.e + 1;
		      }
		      return format(this, dp, rm);
		    };


		    /*
		     * Return a string representing the value of this BigNumber in fixed-point notation rounded
		     * using rm or ROUNDING_MODE to dp decimal places, and formatted according to the properties
		     * of the format or FORMAT object (see BigNumber.set).
		     *
		     * The formatting object may contain some or all of the properties shown below.
		     *
		     * FORMAT = {
		     *   prefix: '',
		     *   groupSize: 3,
		     *   secondaryGroupSize: 0,
		     *   groupSeparator: ',',
		     *   decimalSeparator: '.',
		     *   fractionGroupSize: 0,
		     *   fractionGroupSeparator: '\xA0',      // non-breaking space
		     *   suffix: ''
		     * };
		     *
		     * [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
		     * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
		     * [format] {object} Formatting options. See FORMAT pbject above.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {dp|rm}'
		     * '[BigNumber Error] Argument not an object: {format}'
		     */
		    P.toFormat = function (dp, rm, format) {
		      var str,
		        x = this;

		      if (format == null) {
		        if (dp != null && rm && typeof rm == 'object') {
		          format = rm;
		          rm = null;
		        } else if (dp && typeof dp == 'object') {
		          format = dp;
		          dp = rm = null;
		        } else {
		          format = FORMAT;
		        }
		      } else if (typeof format != 'object') {
		        throw Error
		          (bignumberError + 'Argument not an object: ' + format);
		      }

		      str = x.toFixed(dp, rm);

		      if (x.c) {
		        var i,
		          arr = str.split('.'),
		          g1 = +format.groupSize,
		          g2 = +format.secondaryGroupSize,
		          groupSeparator = format.groupSeparator || '',
		          intPart = arr[0],
		          fractionPart = arr[1],
		          isNeg = x.s < 0,
		          intDigits = isNeg ? intPart.slice(1) : intPart,
		          len = intDigits.length;

		        if (g2) {
		          i = g1;
		          g1 = g2;
		          g2 = i;
		          len -= i;
		        }

		        if (g1 > 0 && len > 0) {
		          i = len % g1 || g1;
		          intPart = intDigits.substr(0, i);
		          for (; i < len; i += g1) intPart += groupSeparator + intDigits.substr(i, g1);
		          if (g2 > 0) intPart += groupSeparator + intDigits.slice(i);
		          if (isNeg) intPart = '-' + intPart;
		        }

		        str = fractionPart
		         ? intPart + (format.decimalSeparator || '') + ((g2 = +format.fractionGroupSize)
		          ? fractionPart.replace(new RegExp('\\d{' + g2 + '}\\B', 'g'),
		           '$&' + (format.fractionGroupSeparator || ''))
		          : fractionPart)
		         : intPart;
		      }

		      return (format.prefix || '') + str + (format.suffix || '');
		    };


		    /*
		     * Return an array of two BigNumbers representing the value of this BigNumber as a simple
		     * fraction with an integer numerator and an integer denominator.
		     * The denominator will be a positive non-zero value less than or equal to the specified
		     * maximum denominator. If a maximum denominator is not specified, the denominator will be
		     * the lowest value necessary to represent the number exactly.
		     *
		     * [md] {number|string|BigNumber} Integer >= 1, or Infinity. The maximum denominator.
		     *
		     * '[BigNumber Error] Argument {not an integer|out of range} : {md}'
		     */
		    P.toFraction = function (md) {
		      var d, d0, d1, d2, e, exp, n, n0, n1, q, r, s,
		        x = this,
		        xc = x.c;

		      if (md != null) {
		        n = new BigNumber(md);

		        // Throw if md is less than one or is not an integer, unless it is Infinity.
		        if (!n.isInteger() && (n.c || n.s !== 1) || n.lt(ONE)) {
		          throw Error
		            (bignumberError + 'Argument ' +
		              (n.isInteger() ? 'out of range: ' : 'not an integer: ') + valueOf(n));
		        }
		      }

		      if (!xc) return new BigNumber(x);

		      d = new BigNumber(ONE);
		      n1 = d0 = new BigNumber(ONE);
		      d1 = n0 = new BigNumber(ONE);
		      s = coeffToString(xc);

		      // Determine initial denominator.
		      // d is a power of 10 and the minimum max denominator that specifies the value exactly.
		      e = d.e = s.length - x.e - 1;
		      d.c[0] = POWS_TEN[(exp = e % LOG_BASE) < 0 ? LOG_BASE + exp : exp];
		      md = !md || n.comparedTo(d) > 0 ? (e > 0 ? d : n1) : n;

		      exp = MAX_EXP;
		      MAX_EXP = 1 / 0;
		      n = new BigNumber(s);

		      // n0 = d1 = 0
		      n0.c[0] = 0;

		      for (; ;)  {
		        q = div(n, d, 0, 1);
		        d2 = d0.plus(q.times(d1));
		        if (d2.comparedTo(md) == 1) break;
		        d0 = d1;
		        d1 = d2;
		        n1 = n0.plus(q.times(d2 = n1));
		        n0 = d2;
		        d = n.minus(q.times(d2 = d));
		        n = d2;
		      }

		      d2 = div(md.minus(d0), d1, 0, 1);
		      n0 = n0.plus(d2.times(n1));
		      d0 = d0.plus(d2.times(d1));
		      n0.s = n1.s = x.s;
		      e = e * 2;

		      // Determine which fraction is closer to x, n0/d0 or n1/d1
		      r = div(n1, d1, e, ROUNDING_MODE).minus(x).abs().comparedTo(
		          div(n0, d0, e, ROUNDING_MODE).minus(x).abs()) < 1 ? [n1, d1] : [n0, d0];

		      MAX_EXP = exp;

		      return r;
		    };


		    /*
		     * Return the value of this BigNumber converted to a number primitive.
		     */
		    P.toNumber = function () {
		      return +valueOf(this);
		    };


		    /*
		     * Return a string representing the value of this BigNumber rounded to sd significant digits
		     * using rounding mode rm or ROUNDING_MODE. If sd is less than the number of digits
		     * necessary to represent the integer part of the value in fixed-point notation, then use
		     * exponential notation.
		     *
		     * [sd] {number} Significant digits. Integer, 1 to MAX inclusive.
		     * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
		     *
		     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {sd|rm}'
		     */
		    P.toPrecision = function (sd, rm) {
		      if (sd != null) intCheck(sd, 1, MAX);
		      return format(this, sd, rm, 2);
		    };


		    /*
		     * Return a string representing the value of this BigNumber in base b, or base 10 if b is
		     * omitted. If a base is specified, including base 10, round according to DECIMAL_PLACES and
		     * ROUNDING_MODE. If a base is not specified, and this BigNumber has a positive exponent
		     * that is equal to or greater than TO_EXP_POS, or a negative exponent equal to or less than
		     * TO_EXP_NEG, return exponential notation.
		     *
		     * [b] {number} Integer, 2 to ALPHABET.length inclusive.
		     *
		     * '[BigNumber Error] Base {not a primitive number|not an integer|out of range}: {b}'
		     */
		    P.toString = function (b) {
		      var str,
		        n = this,
		        s = n.s,
		        e = n.e;

		      // Infinity or NaN?
		      if (e === null) {
		        if (s) {
		          str = 'Infinity';
		          if (s < 0) str = '-' + str;
		        } else {
		          str = 'NaN';
		        }
		      } else {
		        if (b == null) {
		          str = e <= TO_EXP_NEG || e >= TO_EXP_POS
		           ? toExponential(coeffToString(n.c), e)
		           : toFixedPoint(coeffToString(n.c), e, '0');
		        } else if (b === 10 && alphabetHasNormalDecimalDigits) {
		          n = round(new BigNumber(n), DECIMAL_PLACES + e + 1, ROUNDING_MODE);
		          str = toFixedPoint(coeffToString(n.c), n.e, '0');
		        } else {
		          intCheck(b, 2, ALPHABET.length, 'Base');
		          str = convertBase(toFixedPoint(coeffToString(n.c), e, '0'), 10, b, s, true);
		        }

		        if (s < 0 && n.c[0]) str = '-' + str;
		      }

		      return str;
		    };


		    /*
		     * Return as toString, but do not accept a base argument, and include the minus sign for
		     * negative zero.
		     */
		    P.valueOf = P.toJSON = function () {
		      return valueOf(this);
		    };


		    P._isBigNumber = true;

		    if (configObject != null) BigNumber.set(configObject);

		    return BigNumber;
		  }


		  // PRIVATE HELPER FUNCTIONS

		  // These functions don't need access to variables,
		  // e.g. DECIMAL_PLACES, in the scope of the `clone` function above.


		  function bitFloor(n) {
		    var i = n | 0;
		    return n > 0 || n === i ? i : i - 1;
		  }


		  // Return a coefficient array as a string of base 10 digits.
		  function coeffToString(a) {
		    var s, z,
		      i = 1,
		      j = a.length,
		      r = a[0] + '';

		    for (; i < j;) {
		      s = a[i++] + '';
		      z = LOG_BASE - s.length;
		      for (; z--; s = '0' + s);
		      r += s;
		    }

		    // Determine trailing zeros.
		    for (j = r.length; r.charCodeAt(--j) === 48;);

		    return r.slice(0, j + 1 || 1);
		  }


		  // Compare the value of BigNumbers x and y.
		  function compare(x, y) {
		    var a, b,
		      xc = x.c,
		      yc = y.c,
		      i = x.s,
		      j = y.s,
		      k = x.e,
		      l = y.e;

		    // Either NaN?
		    if (!i || !j) return null;

		    a = xc && !xc[0];
		    b = yc && !yc[0];

		    // Either zero?
		    if (a || b) return a ? b ? 0 : -j : i;

		    // Signs differ?
		    if (i != j) return i;

		    a = i < 0;
		    b = k == l;

		    // Either Infinity?
		    if (!xc || !yc) return b ? 0 : !xc ^ a ? 1 : -1;

		    // Compare exponents.
		    if (!b) return k > l ^ a ? 1 : -1;

		    j = (k = xc.length) < (l = yc.length) ? k : l;

		    // Compare digit by digit.
		    for (i = 0; i < j; i++) if (xc[i] != yc[i]) return xc[i] > yc[i] ^ a ? 1 : -1;

		    // Compare lengths.
		    return k == l ? 0 : k > l ^ a ? 1 : -1;
		  }


		  /*
		   * Check that n is a primitive number, an integer, and in range, otherwise throw.
		   */
		  function intCheck(n, min, max, name) {
		    if (n < min || n > max || n !== mathfloor(n)) {
		      throw Error
		       (bignumberError + (name || 'Argument') + (typeof n == 'number'
		         ? n < min || n > max ? ' out of range: ' : ' not an integer: '
		         : ' not a primitive number: ') + String(n));
		    }
		  }


		  // Assumes finite n.
		  function isOdd(n) {
		    var k = n.c.length - 1;
		    return bitFloor(n.e / LOG_BASE) == k && n.c[k] % 2 != 0;
		  }


		  function toExponential(str, e) {
		    return (str.length > 1 ? str.charAt(0) + '.' + str.slice(1) : str) +
		     (e < 0 ? 'e' : 'e+') + e;
		  }


		  function toFixedPoint(str, e, z) {
		    var len, zs;

		    // Negative exponent?
		    if (e < 0) {

		      // Prepend zeros.
		      for (zs = z + '.'; ++e; zs += z);
		      str = zs + str;

		    // Positive exponent
		    } else {
		      len = str.length;

		      // Append zeros.
		      if (++e > len) {
		        for (zs = z, e -= len; --e; zs += z);
		        str += zs;
		      } else if (e < len) {
		        str = str.slice(0, e) + '.' + str.slice(e);
		      }
		    }

		    return str;
		  }


		  // EXPORT


		  BigNumber = clone();
		  BigNumber['default'] = BigNumber.BigNumber = BigNumber;

		  // AMD.
		  if (module.exports) {
		    module.exports = BigNumber;

		  // Browser.
		  } else {
		    if (!globalObject) {
		      globalObject = typeof self != 'undefined' && self ? self : window;
		    }

		    globalObject.BigNumber = BigNumber;
		  }
		})(commonjsGlobal); 
	} (bignumber));

	var bignumberExports = bignumber.exports;

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	const globalState$1 = requireGlobalState();
	const validating = requireValidating();
	const parsing$1 = parsing$2;
	const BigNumber$1 = bignumberExports;

	const powers = {
	    trillion: Math.pow(10, 12),
	    billion: Math.pow(10, 9),
	    million: Math.pow(10, 6),
	    thousand: Math.pow(10, 3)
	};

	const defaultOptions = {
	    totalLength: 0,
	    characteristic: 0,
	    forceAverage: false,
	    average: false,
	    mantissa: -1,
	    optionalMantissa: true,
	    thousandSeparated: false,
	    spaceSeparated: false,
	    negative: "sign",
	    forceSign: false,
	    roundingFunction: Math.round,
	    spaceSeparatedAbbreviation: false
	};

	const { binarySuffixes, decimalSuffixes } = globalState$1.currentBytes();

	const bytes = {
	    general: { scale: 1024, suffixes: decimalSuffixes, marker: "bd" },
	    binary: { scale: 1024, suffixes: binarySuffixes, marker: "b" },
	    decimal: { scale: 1000, suffixes: decimalSuffixes, marker: "d" }
	};

	/**
	 * Entry point. Format the provided INSTANCE according to the PROVIDEDFORMAT.
	 * This method ensure the prefix and postfix are added as the last step.
	 *
	 * @param {Numbro} instance - numbro instance to format
	 * @param {NumbroFormat|string} [providedFormat] - specification for formatting
	 * @param numbro - the numbro singleton
	 * @return {string}
	 */
	function format(instance, providedFormat = {}, numbro) {
	    if (typeof providedFormat === "string") {
	        providedFormat = parsing$1.parseFormat(providedFormat);
	    }

	    let valid = validating.validateFormat(providedFormat);

	    if (!valid) {
	        return "ERROR: invalid format";
	    }

	    let prefix = providedFormat.prefix || "";
	    let postfix = providedFormat.postfix || "";

	    let output = formatNumbro(instance, providedFormat, numbro);
	    output = insertPrefix(output, prefix);
	    output = insertPostfix(output, postfix);
	    return output;
	}

	/**
	 * Format the provided INSTANCE according to the PROVIDEDFORMAT.
	 *
	 * @param {Numbro} instance - numbro instance to format
	 * @param {{}} providedFormat - specification for formatting
	 * @param numbro - the numbro singleton
	 * @return {string}
	 */
	function formatNumbro(instance, providedFormat, numbro) {
	    switch (providedFormat.output) {
	        case "currency": {
	            providedFormat = formatOrDefault(providedFormat, globalState$1.currentCurrencyDefaultFormat());
	            return formatCurrency(instance, providedFormat, globalState$1);
	        }
	        case "percent": {
	            providedFormat = formatOrDefault(providedFormat, globalState$1.currentPercentageDefaultFormat());
	            return formatPercentage(instance, providedFormat, globalState$1, numbro);
	        }
	        case "byte":
	            providedFormat = formatOrDefault(providedFormat, globalState$1.currentByteDefaultFormat());
	            return formatByte(instance, providedFormat, globalState$1, numbro);
	        case "time":
	            providedFormat = formatOrDefault(providedFormat, globalState$1.currentTimeDefaultFormat());
	            return formatTime(instance);
	        case "ordinal":
	            providedFormat = formatOrDefault(providedFormat, globalState$1.currentOrdinalDefaultFormat());
	            return formatOrdinal(instance, providedFormat, globalState$1);
	        case "number":
	        default:
	            return formatNumber({
	                instance,
	                providedFormat,
	                numbro
	            });
	    }
	}

	/**
	 * Get the decimal byte unit (MB) for the provided numbro INSTANCE.
	 * We go from one unit to another using the decimal system (1000).
	 *
	 * @param {Numbro} instance - numbro instance to compute
	 * @return {String}
	 */
	function getDecimalByteUnit(instance) {
	    let data = bytes.decimal;
	    return getFormatByteUnits(instance._value, data.suffixes, data.scale).suffix;
	}

	/**
	 * Get the binary byte unit (MiB) for the provided numbro INSTANCE.
	 * We go from one unit to another using the decimal system (1024).
	 *
	 * @param {Numbro} instance - numbro instance to compute
	 * @return {String}
	 */
	function getBinaryByteUnit(instance) {
	    let data = bytes.binary;
	    return getFormatByteUnits(instance._value, data.suffixes, data.scale).suffix;
	}

	/**
	 * Get the decimal byte unit (MB) for the provided numbro INSTANCE.
	 * We go from one unit to another using the decimal system (1024).
	 *
	 * @param {Numbro} instance - numbro instance to compute
	 * @return {String}
	 */
	function getByteUnit(instance) {
	    let data = bytes.general;
	    return getFormatByteUnits(instance._value, data.suffixes, data.scale).suffix;
	}

	/**
	 * Return the value and the suffix computed in byte.
	 * It uses the SUFFIXES and the SCALE provided.
	 *
	 * @param {number} value - Number to format
	 * @param {[String]} suffixes - List of suffixes
	 * @param {number} scale - Number in-between two units
	 * @return {{value: Number, suffix: String}}
	 */
	function getFormatByteUnits(value, suffixes, scale) {
	    let suffix = suffixes[0];
	    let abs = Math.abs(value);

	    if (abs >= scale) {
	        for (let power = 1; power < suffixes.length; ++power) {
	            let min = Math.pow(scale, power);
	            let max = Math.pow(scale, power + 1);

	            if (abs >= min && abs < max) {
	                suffix = suffixes[power];
	                value = value / min;
	                break;
	            }
	        }

	        // values greater than or equal to [scale] YB never set the suffix
	        if (suffix === suffixes[0]) {
	            value = value / Math.pow(scale, suffixes.length - 1);
	            suffix = suffixes[suffixes.length - 1];
	        }
	    }

	    return { value, suffix };
	}

	/**
	 * Format the provided INSTANCE as bytes using the PROVIDEDFORMAT, and STATE.
	 *
	 * @param {Numbro} instance - numbro instance to format
	 * @param {{}} providedFormat - specification for formatting
	 * @param {globalState} state - shared state of the library
	 * @param numbro - the numbro singleton
	 * @return {string}
	 */
	function formatByte(instance, providedFormat, state, numbro) {
	    let base = providedFormat.base || "binary";
	    let options = Object.assign({}, defaultOptions, providedFormat);

	    const { binarySuffixes: localBinarySuffixes, decimalSuffixes: localDecimalSuffixes } = state.currentBytes();

	    const localBytes = {
	        general: { scale: 1024, suffixes: localDecimalSuffixes || decimalSuffixes, marker: "bd" },
	        binary: { scale: 1024, suffixes: localBinarySuffixes || binarySuffixes, marker: "b" },
	        decimal: { scale: 1000, suffixes: localDecimalSuffixes || decimalSuffixes, marker: "d" }
	    };
	    let baseInfo = localBytes[base];

	    let { value, suffix } = getFormatByteUnits(instance._value, baseInfo.suffixes, baseInfo.scale);

	    let output = formatNumber({
	        instance: numbro(value),
	        providedFormat,
	        state,
	        defaults: state.currentByteDefaultFormat()
	    });

	    return `${output}${options.spaceSeparated ? " " : ""}${suffix}`;
	}

	/**
	 * Format the provided INSTANCE as an ordinal using the PROVIDEDFORMAT,
	 * and the STATE.
	 *
	 * @param {Numbro} instance - numbro instance to format
	 * @param {{}} providedFormat - specification for formatting
	 * @param {globalState} state - shared state of the library
	 * @return {string}
	 */
	function formatOrdinal(instance, providedFormat, state) {
	    let ordinalFn = state.currentOrdinal();
	    let options = Object.assign({}, defaultOptions, providedFormat);

	    let output = formatNumber({
	        instance,
	        providedFormat,
	        state
	    });
	    let ordinal = ordinalFn(instance._value);

	    return `${output}${options.spaceSeparated ? " " : ""}${ordinal}`;
	}

	/**
	 * Format the provided INSTANCE as a time HH:MM:SS.
	 *
	 * @param {Numbro} instance - numbro instance to format
	 * @return {string}
	 */
	function formatTime(instance) {
	    let hours = Math.floor(instance._value / 60 / 60);
	    let minutes = Math.floor((instance._value - (hours * 60 * 60)) / 60);
	    let seconds = Math.round(instance._value - (hours * 60 * 60) - (minutes * 60));
	    return `${hours}:${(minutes < 10) ? "0" : ""}${minutes}:${(seconds < 10) ? "0" : ""}${seconds}`;
	}

	/**
	 * Format the provided INSTANCE as a percentage using the PROVIDEDFORMAT,
	 * and the STATE.
	 *
	 * @param {Numbro} instance - numbro instance to format
	 * @param {{}} providedFormat - specification for formatting
	 * @param {globalState} state - shared state of the library
	 * @param numbro - the numbro singleton
	 * @return {string}
	 */
	function formatPercentage(instance, providedFormat, state, numbro) {
	    let prefixSymbol = providedFormat.prefixSymbol;

	    let output = formatNumber({
	        instance: numbro(instance._value * 100),
	        providedFormat,
	        state
	    });
	    let options = Object.assign({}, defaultOptions, providedFormat);

	    if (prefixSymbol) {
	        return `%${options.spaceSeparated ? " " : ""}${output}`;
	    }

	    return `${output}${options.spaceSeparated ? " " : ""}%`;
	}

	/**
	 * Format the provided INSTANCE as a percentage using the PROVIDEDFORMAT,
	 * and the STATE.
	 *
	 * @param {Numbro} instance - numbro instance to format
	 * @param {{}} providedFormat - specification for formatting
	 * @param {globalState} state - shared state of the library
	 * @return {string}
	 */
	function formatCurrency(instance, providedFormat, state) {
	    const currentCurrency = state.currentCurrency();
	    let clonedFormat = Object.assign({}, providedFormat);
	    let options = Object.assign({}, defaultOptions, clonedFormat);
	    let decimalSeparator = undefined;
	    let space = "";
	    let average = !!options.totalLength || !!options.forceAverage || options.average;
	    let position = clonedFormat.currencyPosition || currentCurrency.position;
	    let symbol = clonedFormat.currencySymbol || currentCurrency.symbol;
	    const spaceSeparatedCurrency = options.spaceSeparatedCurrency !== void 0
	        ? options.spaceSeparatedCurrency : options.spaceSeparated;

	    if (clonedFormat.lowPrecision === undefined) {
	        clonedFormat.lowPrecision = false;
	    }

	    if (spaceSeparatedCurrency) {
	        space = " ";
	    }

	    if (position === "infix") {
	        decimalSeparator = space + symbol + space;
	    }

	    let output = formatNumber({
	        instance,
	        providedFormat: clonedFormat,
	        state,
	        decimalSeparator
	    });

	    if (position === "prefix") {
	        if (instance._value < 0 && options.negative === "sign") {
	            output = `-${space}${symbol}${output.slice(1)}`;
	        } else if (instance._value > 0 && options.forceSign) {
	            output = `+${space}${symbol}${output.slice(1)}`;
	        } else {
	            output = symbol + space + output;
	        }
	    }

	    if (!position || position === "postfix") {
	        space = !options.spaceSeparatedAbbreviation && average ? "" : space;
	        output = output + space + symbol;
	    }

	    return output;
	}

	/**
	 * Compute the average value out of VALUE.
	 * The other parameters are computation options.
	 *
	 * @param {number} value - value to compute
	 * @param {string} [forceAverage] - forced unit used to compute
	 * @param {boolean} [lowPrecision=true] - reduce average precision
	 * @param {{}} abbreviations - part of the language specification
	 * @param {boolean} spaceSeparated - `true` if a space must be inserted between the value and the abbreviation
	 * @param {number} [totalLength] - total length of the output including the characteristic and the mantissa
	 * @param {function} roundingFunction - function used to round numbers
	 * @return {{value: number, abbreviation: string, mantissaPrecision: number}}
	 */
	function computeAverage({ value, forceAverage, lowPrecision = true, abbreviations, spaceSeparated = false, totalLength = 0, roundingFunction = Math.round }) {
	    let abbreviation = "";
	    let abs = Math.abs(value);
	    let mantissaPrecision = -1;

	    if (forceAverage && abbreviations[forceAverage] && powers[forceAverage]) {
	        abbreviation = abbreviations[forceAverage];
	        value = value / powers[forceAverage];
	    } else {
	        if (abs >= powers.trillion || (lowPrecision && roundingFunction(abs / powers.trillion) === 1)) {
	            // trillion
	            abbreviation = abbreviations.trillion;
	            value = value / powers.trillion;
	        } else if (abs < powers.trillion && abs >= powers.billion || (lowPrecision && roundingFunction(abs / powers.billion) === 1)) {
	            // billion
	            abbreviation = abbreviations.billion;
	            value = value / powers.billion;
	        } else if (abs < powers.billion && abs >= powers.million || (lowPrecision && roundingFunction(abs / powers.million) === 1)) {
	            // million
	            abbreviation = abbreviations.million;
	            value = value / powers.million;
	        } else if (abs < powers.million && abs >= powers.thousand || (lowPrecision && roundingFunction(abs / powers.thousand) === 1)) {
	            // thousand
	            abbreviation = abbreviations.thousand;
	            value = value / powers.thousand;
	        }
	    }

	    let optionalSpace = spaceSeparated ? " " : "";

	    if (abbreviation) {
	        abbreviation = optionalSpace + abbreviation;
	    }

	    if (totalLength) {
	        let isNegative = value < 0;
	        let characteristic = value.toString().split(".")[0];

	        let characteristicLength = isNegative
	            ? characteristic.length - 1
	            : characteristic.length;

	        mantissaPrecision = Math.max(totalLength - characteristicLength, 0);
	    }

	    return { value, abbreviation, mantissaPrecision };
	}

	/**
	 * Compute an exponential form for VALUE, taking into account CHARACTERISTIC
	 * if provided.
	 * @param {number} value - value to compute
	 * @param {number} [characteristicPrecision] - optional characteristic length
	 * @return {{value: number, abbreviation: string}}
	 */
	function computeExponential({ value, characteristicPrecision }) {
	    let [numberString, exponential] = value.toExponential().split("e");
	    let number = +numberString;

	    if (!characteristicPrecision) {
	        return {
	            value: number,
	            abbreviation: `e${exponential}`
	        };
	    }

	    let characteristicLength = 1; // see `toExponential`

	    if (characteristicLength < characteristicPrecision) {
	        number = number * Math.pow(10, characteristicPrecision - characteristicLength);
	        exponential = +exponential - (characteristicPrecision - characteristicLength);
	        exponential = exponential >= 0 ? `+${exponential}` : exponential;
	    }

	    return {
	        value: number,
	        abbreviation: `e${exponential}`
	    };
	}

	/**
	 * Return a string of NUMBER zero.
	 *
	 * @param {number} number - Length of the output
	 * @return {string}
	 */
	function zeroes(number) {
	    let result = "";
	    for (let i = 0; i < number; i++) {
	        result += "0";
	    }

	    return result;
	}

	/**
	 * Return a string representing VALUE with a PRECISION-long mantissa.
	 * This method is for large/small numbers only (a.k.a. including a "e").
	 *
	 * @param {number} value - number to precise
	 * @param {number} precision - desired length for the mantissa
	 * @return {string}
	 */
	function toFixedLarge(value, precision) {
	    let result = value.toString();

	    let [base, exp] = result.split("e");

	    let [characteristic, mantissa = ""] = base.split(".");

	    if (+exp > 0) {
	        result = characteristic + mantissa + zeroes(exp - mantissa.length);
	    } else {
	        let prefix = ".";

	        if (+characteristic < 0) {
	            prefix = `-0${prefix}`;
	        } else {
	            prefix = `0${prefix}`;
	        }

	        let suffix = (zeroes(-exp - 1) + Math.abs(characteristic) + mantissa).substr(0, precision);
	        if (suffix.length < precision) {
	            suffix += zeroes(precision - suffix.length);
	        }
	        result = prefix + suffix;
	    }

	    if (+exp > 0 && precision > 0) {
	        result += `.${zeroes(precision)}`;
	    }

	    return result;
	}

	/**
	 * Return a string representing VALUE with a PRECISION-long mantissa.
	 *
	 * @param {number} value - number to precise
	 * @param {number} precision - desired length for the mantissa
	 * @param {function} roundingFunction - rounding function to be used
	 * @return {string}
	 */
	function toFixed(value, precision, roundingFunction = Math.round) {
	    if (value.toString().indexOf("e") !== -1) {
	        return toFixedLarge(value, precision);
	    }

	    const n = new BigNumber$1(roundingFunction(+`${value}e+${precision}`) / (Math.pow(10, precision)));
	    return n.toFixed(precision);
	}

	/**
	 * Return the current OUTPUT with a mantissa precision of PRECISION.
	 *
	 * @param {string} output - output being build in the process of formatting
	 * @param {number} value - number being currently formatted
	 * @param {boolean} optionalMantissa - if `true`, the mantissa is omitted when it's only zeroes
	 * @param {number} precision - desired precision of the mantissa
	 * @param {boolean} trim - if `true`, trailing zeroes are removed from the mantissa
	 * @return {string}
	 */
	function setMantissaPrecision(output, value, optionalMantissa, precision, trim, roundingFunction) {
	    if (precision === -1) {
	        return output;
	    }

	    let result = toFixed(value, precision, roundingFunction);
	    let [currentCharacteristic, currentMantissa = ""] = result.toString().split(".");

	    if (currentMantissa.match(/^0+$/) && (optionalMantissa || trim)) {
	        return currentCharacteristic;
	    }

	    let hasTrailingZeroes = currentMantissa.match(/0+$/);
	    if (trim && hasTrailingZeroes) {
	        return `${currentCharacteristic}.${currentMantissa.toString().slice(0, hasTrailingZeroes.index)}`;
	    }

	    return result.toString();
	}

	/**
	 * Return the current OUTPUT with a characteristic precision of PRECISION.
	 *
	 * @param {string} output - output being build in the process of formatting
	 * @param {number} value - number being currently formatted
	 * @param {boolean} optionalCharacteristic - `true` if the characteristic is omitted when it's only zeroes
	 * @param {number} precision - desired precision of the characteristic
	 * @return {string}
	 */
	function setCharacteristicPrecision(output, value, optionalCharacteristic, precision) {
	    let result = output;
	    let [currentCharacteristic, currentMantissa] = result.toString().split(".");

	    if (currentCharacteristic.match(/^-?0$/) && optionalCharacteristic) {
	        if (!currentMantissa) {
	            return currentCharacteristic.replace("0", "");
	        }

	        return `${currentCharacteristic.replace("0", "")}.${currentMantissa}`;
	    }

	    const hasNegativeSign = value < 0 && currentCharacteristic.indexOf("-") === 0;
	    if (hasNegativeSign) {
	            // Remove the negative sign
	            currentCharacteristic = currentCharacteristic.slice(1);
	            result = result.slice(1);
	    }

	    if (currentCharacteristic.length < precision) {
	        let missingZeros = precision - currentCharacteristic.length;
	        for (let i = 0; i < missingZeros; i++) {
	            result = `0${result}`;
	        }
	    }

	    if (hasNegativeSign) {
	        // Add back the minus sign
	        result = `-${result}`;
	    }
	    return result.toString();
	}

	/**
	 * Return the indexes where are the group separations after splitting
	 * `totalLength` in group of `groupSize` size.
	 * Important: we start grouping from the right hand side.
	 *
	 * @param {number} totalLength - total length of the characteristic to split
	 * @param {number} groupSize - length of each group
	 * @return {[number]}
	 */
	function indexesOfGroupSpaces(totalLength, groupSize) {
	    let result = [];
	    let counter = 0;
	    for (let i = totalLength; i > 0; i--) {
	        if (counter === groupSize) {
	            result.unshift(i);
	            counter = 0;
	        }
	        counter++;
	    }

	    return result;
	}

	/**
	 * Replace the decimal separator with DECIMALSEPARATOR and insert thousand
	 * separators.
	 *
	 * @param {string} output - output being build in the process of formatting
	 * @param {number} value - number being currently formatted
	 * @param {boolean} thousandSeparated - `true` if the characteristic must be separated
	 * @param {globalState} state - shared state of the library
	 * @param {string} decimalSeparator - string to use as decimal separator
	 * @return {string}
	 */
	function replaceDelimiters(output, value, thousandSeparated, state, decimalSeparator) {
	    let delimiters = state.currentDelimiters();
	    let thousandSeparator = delimiters.thousands;
	    decimalSeparator = decimalSeparator || delimiters.decimal;
	    let thousandsSize = delimiters.thousandsSize || 3;

	    let result = output.toString();
	    let characteristic = result.split(".")[0];
	    let mantissa = result.split(".")[1];
	    const hasNegativeSign = value < 0 && characteristic.indexOf("-") === 0;

	    if (thousandSeparated) {
	        if (hasNegativeSign) {
	            // Remove the negative sign
	            characteristic = characteristic.slice(1);
	        }

	        let indexesToInsertThousandDelimiters = indexesOfGroupSpaces(characteristic.length, thousandsSize);
	        indexesToInsertThousandDelimiters.forEach((position, index) => {
	            characteristic = characteristic.slice(0, position + index) + thousandSeparator + characteristic.slice(position + index);
	        });

	        if (hasNegativeSign) {
	            // Add back the negative sign
	            characteristic = `-${characteristic}`;
	        }
	    }

	    if (!mantissa) {
	        result = characteristic;
	    } else {
	        result = characteristic + decimalSeparator + mantissa;
	    }
	    return result;
	}

	/**
	 * Insert the provided ABBREVIATION at the end of OUTPUT.
	 *
	 * @param {string} output - output being build in the process of formatting
	 * @param {string} abbreviation - abbreviation to append
	 * @return {*}
	 */
	function insertAbbreviation(output, abbreviation) {
	    return output + abbreviation;
	}

	/**
	 * Insert the positive/negative sign according to the NEGATIVE flag.
	 * If the value is negative but still output as 0, the negative sign is removed.
	 *
	 * @param {string} output - output being build in the process of formatting
	 * @param {number} value - number being currently formatted
	 * @param {string} negative - flag for the negative form ("sign" or "parenthesis")
	 * @return {*}
	 */
	function insertSign(output, value, negative) {
	    if (value === 0) {
	        return output;
	    }

	    if (+output === 0) {
	        return output.replace("-", "");
	    }

	    if (value > 0) {
	        return `+${output}`;
	    }

	    if (negative === "sign") {
	        return output;
	    }

	    return `(${output.replace("-", "")})`;
	}

	/**
	 * Insert the provided PREFIX at the start of OUTPUT.
	 *
	 * @param {string} output - output being build in the process of formatting
	 * @param {string} prefix - abbreviation to prepend
	 * @return {*}
	 */
	function insertPrefix(output, prefix) {
	    return prefix + output;
	}

	/**
	 * Insert the provided POSTFIX at the end of OUTPUT.
	 *
	 * @param {string} output - output being build in the process of formatting
	 * @param {string} postfix - abbreviation to append
	 * @return {*}
	 */
	function insertPostfix(output, postfix) {
	    return output + postfix;
	}

	/**
	 * Format the provided INSTANCE as a number using the PROVIDEDFORMAT,
	 * and the STATE.
	 * This is the key method of the framework!
	 *
	 * @param {Numbro} instance - numbro instance to format
	 * @param {{}} [providedFormat] - specification for formatting
	 * @param {globalState} state - shared state of the library
	 * @param {string} decimalSeparator - string to use as decimal separator
	 * @param {{}} defaults - Set of default values used for formatting
	 * @return {string}
	 */
	function formatNumber({ instance, providedFormat, state = globalState$1, decimalSeparator, defaults = state.currentDefaults() }) {
	    let value = instance._value;

	    if (value === 0 && state.hasZeroFormat()) {
	        return state.getZeroFormat();
	    }

	    if (!isFinite(value)) {
	        return value.toString();
	    }

	    let options = Object.assign({}, defaultOptions, defaults, providedFormat);

	    let totalLength = options.totalLength;
	    let characteristicPrecision = totalLength ? 0 : options.characteristic;
	    let optionalCharacteristic = options.optionalCharacteristic;
	    let forceAverage = options.forceAverage;
	    let lowPrecision = options.lowPrecision;
	    let average = !!totalLength || !!forceAverage || options.average;

	    // default when averaging is to chop off decimals
	    let mantissaPrecision = totalLength ? -1 : (average && providedFormat.mantissa === undefined ? 0 : options.mantissa);
	    let optionalMantissa = totalLength ? false : (providedFormat.optionalMantissa === undefined ? mantissaPrecision === -1 : options.optionalMantissa);
	    let trimMantissa = options.trimMantissa;
	    let thousandSeparated = options.thousandSeparated;
	    let spaceSeparated = options.spaceSeparated;
	    let negative = options.negative;
	    let forceSign = options.forceSign;
	    let exponential = options.exponential;
	    let roundingFunction = options.roundingFunction;

	    let abbreviation = "";
	    if (average) {
	        let data = computeAverage({
	            value,
	            forceAverage,
	            lowPrecision,
	            abbreviations: state.currentAbbreviations(),
	            spaceSeparated,
	            roundingFunction,
	            totalLength
	        });

	        value = data.value;
	        abbreviation += data.abbreviation;

	        if (totalLength) {
	            mantissaPrecision = data.mantissaPrecision;
	        }
	    }

	    if (exponential) {
	        let data = computeExponential({
	            value,
	            characteristicPrecision
	        });

	        value = data.value;
	        abbreviation = data.abbreviation + abbreviation;
	    }

	    let output = setMantissaPrecision(value.toString(), value, optionalMantissa, mantissaPrecision, trimMantissa, roundingFunction);
	    output = setCharacteristicPrecision(output, value, optionalCharacteristic, characteristicPrecision);
	    output = replaceDelimiters(output, value, thousandSeparated, state, decimalSeparator);

	    if (average || exponential) {
	        output = insertAbbreviation(output, abbreviation);
	    }

	    if (forceSign || value < 0) {
	        output = insertSign(output, value, negative);
	    }

	    return output;
	}

	/**
	 * If FORMAT is non-null and not just an output, return FORMAT.
	 * Return DEFAULTFORMAT otherwise.
	 *
	 * @param providedFormat
	 * @param defaultFormat
	 */
	function formatOrDefault(providedFormat, defaultFormat) {
	    if (!providedFormat) {
	        return defaultFormat;
	    }

	    let keys = Object.keys(providedFormat);
	    if (keys.length === 1 && keys[0] === "output") {
	        return defaultFormat;
	    }

	    return providedFormat;
	}

	var formatting = (numbro) => ({
	    format: (...args) => format(...args, numbro),
	    getByteUnit: (...args) => getByteUnit(...args, numbro),
	    getBinaryByteUnit: (...args) => getBinaryByteUnit(...args, numbro),
	    getDecimalByteUnit: (...args) => getDecimalByteUnit(...args, numbro),
	    formatOrDefault
	});

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	const BigNumber = bignumberExports;

	/**
	 * Add a number or a numbro to N.
	 *
	 * @param {Numbro} n - augend
	 * @param {number|Numbro} other - addend
	 * @param {numbro} numbro - numbro singleton
	 * @return {Numbro} n
	 */
	function add(n, other, numbro) {
	    let value = new BigNumber(n._value);
	    let otherValue = other;

	    if (numbro.isNumbro(other)) {
	        otherValue = other._value;
	    }

	    otherValue = new BigNumber(otherValue);

	    n._value = value.plus(otherValue).toNumber();
	    return n;
	}

	/**
	 * Subtract a number or a numbro from N.
	 *
	 * @param {Numbro} n - minuend
	 * @param {number|Numbro} other - subtrahend
	 * @param {numbro} numbro - numbro singleton
	 * @return {Numbro} n
	 */
	function subtract(n, other, numbro) {
	    let value = new BigNumber(n._value);
	    let otherValue = other;

	    if (numbro.isNumbro(other)) {
	        otherValue = other._value;
	    }

	    otherValue = new BigNumber(otherValue);

	    n._value = value.minus(otherValue).toNumber();
	    return n;
	}

	/**
	 * Multiply N by a number or a numbro.
	 *
	 * @param {Numbro} n - multiplicand
	 * @param {number|Numbro} other - multiplier
	 * @param {numbro} numbro - numbro singleton
	 * @return {Numbro} n
	 */
	function multiply(n, other, numbro) {
	    let value = new BigNumber(n._value);
	    let otherValue = other;

	    if (numbro.isNumbro(other)) {
	        otherValue = other._value;
	    }

	    otherValue = new BigNumber(otherValue);

	    n._value = value.times(otherValue).toNumber();
	    return n;
	}

	/**
	 * Divide N by a number or a numbro.
	 *
	 * @param {Numbro} n - dividend
	 * @param {number|Numbro} other - divisor
	 * @param {numbro} numbro - numbro singleton
	 * @return {Numbro} n
	 */
	function divide(n, other, numbro) {
	    let value = new BigNumber(n._value);
	    let otherValue = other;

	    if (numbro.isNumbro(other)) {
	        otherValue = other._value;
	    }

	    otherValue = new BigNumber(otherValue);

	    n._value = value.dividedBy(otherValue).toNumber();
	    return n;
	}

	/**
	 * Set N to the OTHER (or the value of OTHER when it's a numbro instance).
	 *
	 * @param {Numbro} n - numbro instance to mutate
	 * @param {number|Numbro} other - new value to assign to N
	 * @param {numbro} numbro - numbro singleton
	 * @return {Numbro} n
	 */
	function set (n, other, numbro) {
	    let value = other;

	    if (numbro.isNumbro(other)) {
	        value = other._value;
	    }

	    n._value = value;
	    return n;
	}

	/**
	 * Return the distance between N and OTHER.
	 *
	 * @param {Numbro} n
	 * @param {number|Numbro} other
	 * @param {numbro} numbro - numbro singleton
	 * @return {number}
	 */
	function difference(n, other, numbro) {
	    let clone = numbro(n._value);
	    subtract(clone, other, numbro);

	    return Math.abs(clone._value);
	}

	var manipulating = numbro => ({
	    add: (n, other) => add(n, other, numbro),
	    subtract: (n, other) => subtract(n, other, numbro),
	    multiply: (n, other) => multiply(n, other, numbro),
	    divide: (n, other) => divide(n, other, numbro),
	    set: (n, other) => set(n, other, numbro),
	    difference: (n, other) => difference(n, other, numbro),
	    BigNumber: BigNumber
	});

	/*!
	 * Copyright (c) 2017 Benjamin Van Ryseghem<benjamin@vanryseghem.com>
	 *
	 * Permission is hereby granted, free of charge, to any person obtaining a copy
	 * of this software and associated documentation files (the "Software"), to deal
	 * in the Software without restriction, including without limitation the rights
	 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
	 * copies of the Software, and to permit persons to whom the Software is
	 * furnished to do so, subject to the following conditions:
	 *
	 * The above copyright notice and this permission notice shall be included in
	 * all copies or substantial portions of the Software.
	 *
	 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
	 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
	 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
	 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
	 * SOFTWARE.
	 */

	const VERSION = "2.5.0";

	const globalState = requireGlobalState();
	const validator = requireValidating();
	const loader = loading(numbro);
	const unformatter = requireUnformatting();
	let formatter = formatting(numbro);
	let manipulate = manipulating(numbro);
	const parsing = parsing$2;

	class Numbro {
	    constructor(number) {
	        this._value = number;
	    }

	    clone() { return numbro(this._value); }

	    format(format = {}) { return formatter.format(this, format); }

	    formatCurrency(format) {
	        if (typeof format === "string") {
	            format = parsing.parseFormat(format);
	        }
	        format = formatter.formatOrDefault(format, globalState.currentCurrencyDefaultFormat());
	        format.output = "currency";
	        return formatter.format(this, format);
	    }

	    formatTime(format = {}) {
	        format.output = "time";
	        return formatter.format(this, format);
	    }

	    binaryByteUnits() { return formatter.getBinaryByteUnit(this);}

	    decimalByteUnits() { return formatter.getDecimalByteUnit(this);}

	    byteUnits() { return formatter.getByteUnit(this);}

	    difference(other) { return manipulate.difference(this, other); }

	    add(other) { return manipulate.add(this, other); }

	    subtract(other) { return manipulate.subtract(this, other); }

	    multiply(other) { return manipulate.multiply(this, other); }

	    divide(other) { return manipulate.divide(this, other); }

	    set(input) { return manipulate.set(this, normalizeInput(input)); }

	    value() { return this._value; }

	    valueOf() { return this._value; }
	}

	/**
	 * Make its best to convert input into a number.
	 *
	 * @param {numbro|string|number} input - Input to convert
	 * @return {number}
	 */
	function normalizeInput(input) {
	    let result = input;
	    if (numbro.isNumbro(input)) {
	        result = input._value;
	    } else if (typeof input === "string") {
	        result = numbro.unformat(input);
	    } else if (isNaN(input)) {
	        result = NaN;
	    }

	    return result;
	}

	function numbro(input) {
	    return new Numbro(normalizeInput(input));
	}

	numbro.version = VERSION;

	numbro.isNumbro = function(object) {
	    return object instanceof Numbro;
	};

	//
	// `numbro` static methods
	//

	numbro.language = globalState.currentLanguage;
	numbro.registerLanguage = globalState.registerLanguage;
	numbro.setLanguage = globalState.setLanguage;
	numbro.languages = globalState.languages;
	numbro.languageData = globalState.languageData;
	numbro.zeroFormat = globalState.setZeroFormat;
	numbro.defaultFormat = globalState.currentDefaults;
	numbro.setDefaults = globalState.setDefaults;
	numbro.defaultCurrencyFormat = globalState.currentCurrencyDefaultFormat;
	numbro.validate = validator.validate;
	numbro.loadLanguagesInNode = loader.loadLanguagesInNode;
	numbro.unformat = unformatter.unformat;
	numbro.BigNumber = manipulate.BigNumber;

	var numbro_1 = numbro;

	var numbro$1 = /*@__PURE__*/getDefaultExportFromCjs(numbro_1);

	return numbro$1;

}));