"use strict"; import { arrayify, BytesLike, hexZeroPad, isBytes } from "@ethersproject/bytes"; import { Logger } from "@ethersproject/logger"; import { version } from "./_version"; const logger = new Logger(version); import { BigNumber, BigNumberish, isBigNumberish } from "./bignumber"; const _constructorGuard = { }; const Zero = BigNumber.from(0); const NegativeOne = BigNumber.from(-1); function throwFault(message: string, fault: string, operation: string, value?: any): never { const params: any = { fault: fault, operation: operation }; if (value !== undefined) { params.value = value; } return logger.throwError(message, Logger.errors.NUMERIC_FAULT, params); } // Constant to pull zeros from for multipliers let zeros = "0"; while (zeros.length < 256) { zeros += zeros; } // Returns a string "1" followed by decimal "0"s function getMultiplier(decimals: BigNumberish): string { if (typeof(decimals) !== "number") { try { decimals = BigNumber.from(decimals).toNumber(); } catch (e) { } } if (typeof(decimals) === "number" && decimals >= 0 && decimals <= 256 && !(decimals % 1)) { return ("1" + zeros.substring(0, decimals)); } return logger.throwArgumentError("invalid decimal size", "decimals", decimals); } export function formatFixed(value: BigNumberish, decimals?: string | BigNumberish): string { if (decimals == null) { decimals = 0; } const multiplier = getMultiplier(decimals); // Make sure wei is a big number (convert as necessary) value = BigNumber.from(value); const negative = value.lt(Zero); if (negative) { value = value.mul(NegativeOne); } let fraction = value.mod(multiplier).toString(); while (fraction.length < multiplier.length - 1) { fraction = "0" + fraction; } // Strip training 0 fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1]; const whole = value.div(multiplier).toString(); if (multiplier.length === 1) { value = whole; } else { value = whole + "." + fraction; } if (negative) { value = "-" + value; } return value; } export function parseFixed(value: string, decimals?: BigNumberish): BigNumber { if (decimals == null) { decimals = 0; } const multiplier = getMultiplier(decimals); if (typeof(value) !== "string" || !value.match(/^-?[0-9.]+$/)) { logger.throwArgumentError("invalid decimal value", "value", value); } // Is it negative? const negative = (value.substring(0, 1) === "-"); if (negative) { value = value.substring(1); } if (value === ".") { logger.throwArgumentError("missing value", "value", value); } // Split it into a whole and fractional part const comps = value.split("."); if (comps.length > 2) { logger.throwArgumentError("too many decimal points", "value", value); } let whole = comps[0], fraction = comps[1]; if (!whole) { whole = "0"; } if (!fraction) { fraction = "0"; } // Trim trailing zeros while (fraction[fraction.length - 1] === "0") { fraction = fraction.substring(0, fraction.length - 1); } // Check the fraction doesn't exceed our decimals size if (fraction.length > multiplier.length - 1) { throwFault("fractional component exceeds decimals", "underflow", "parseFixed"); } // If decimals is 0, we have an empty string for fraction if (fraction === "") { fraction = "0"; } // Fully pad the string with zeros to get to wei while (fraction.length < multiplier.length - 1) { fraction += "0"; } const wholeValue = BigNumber.from(whole); const fractionValue = BigNumber.from(fraction); let wei = (wholeValue.mul(multiplier)).add(fractionValue); if (negative) { wei = wei.mul(NegativeOne); } return wei; } export class FixedFormat { readonly signed: boolean; readonly width: number; readonly decimals: number; readonly name: string; readonly _multiplier: string; constructor(constructorGuard: any, signed: boolean, width: number, decimals: number) { if (constructorGuard !== _constructorGuard) { logger.throwError("cannot use FixedFormat constructor; use FixedFormat.from", Logger.errors.UNSUPPORTED_OPERATION, { operation: "new FixedFormat" }); } this.signed = signed; this.width = width; this.decimals = decimals; this.name = (signed ? "": "u") + "fixed" + String(width) + "x" + String(decimals); this._multiplier = getMultiplier(decimals); Object.freeze(this); } static from(value: any): FixedFormat { if (value instanceof FixedFormat) { return value; } if (typeof(value) === "number") { value = `fixed128x${value}` } let signed = true; let width = 128; let decimals = 18; if (typeof(value) === "string") { if (value === "fixed") { // defaults... } else if (value === "ufixed") { signed = false; } else { const match = value.match(/^(u?)fixed([0-9]+)x([0-9]+)$/); if (!match) { logger.throwArgumentError("invalid fixed format", "format", value); } signed = (match[1] !== "u"); width = parseInt(match[2]); decimals = parseInt(match[3]); } } else if (value) { const check = (key: string, type: string, defaultValue: any): any => { if (value[key] == null) { return defaultValue; } if (typeof(value[key]) !== type) { logger.throwArgumentError("invalid fixed format (" + key + " not " + type +")", "format." + key, value[key]); } return value[key]; } signed = check("signed", "boolean", signed); width = check("width", "number", width); decimals = check("decimals", "number", decimals); } if (width % 8) { logger.throwArgumentError("invalid fixed format width (not byte aligned)", "format.width", width); } if (decimals > 80) { logger.throwArgumentError("invalid fixed format (decimals too large)", "format.decimals", decimals); } return new FixedFormat(_constructorGuard, signed, width, decimals); } } export class FixedNumber { readonly format: FixedFormat; readonly _hex: string; readonly _value: string; readonly _isFixedNumber: boolean; constructor(constructorGuard: any, hex: string, value: string, format?: FixedFormat) { logger.checkNew(new.target, FixedNumber); if (constructorGuard !== _constructorGuard) { logger.throwError("cannot use FixedNumber constructor; use FixedNumber.from", Logger.errors.UNSUPPORTED_OPERATION, { operation: "new FixedFormat" }); } this.format = format; this._hex = hex; this._value = value; this._isFixedNumber = true; Object.freeze(this); } _checkFormat(other: FixedNumber): void { if (this.format.name !== other.format.name) { logger.throwArgumentError("incompatible format; use fixedNumber.toFormat", "other", other); } } addUnsafe(other: FixedNumber): FixedNumber { this._checkFormat(other); const a = parseFixed(this._value, this.format.decimals); const b = parseFixed(other._value, other.format.decimals); return FixedNumber.fromValue(a.add(b), this.format.decimals, this.format); } subUnsafe(other: FixedNumber): FixedNumber { this._checkFormat(other); const a = parseFixed(this._value, this.format.decimals); const b = parseFixed(other._value, other.format.decimals); return FixedNumber.fromValue(a.sub(b), this.format.decimals, this.format); } mulUnsafe(other: FixedNumber): FixedNumber { this._checkFormat(other); const a = parseFixed(this._value, this.format.decimals); const b = parseFixed(other._value, other.format.decimals); return FixedNumber.fromValue(a.mul(b).div(this.format._multiplier), this.format.decimals, this.format); } divUnsafe(other: FixedNumber): FixedNumber { this._checkFormat(other); const a = parseFixed(this._value, this.format.decimals); const b = parseFixed(other._value, other.format.decimals); return FixedNumber.fromValue(a.mul(this.format._multiplier).div(b), this.format.decimals, this.format); } floor(): FixedNumber { const comps = this.toString().split("."); if (comps.length === 1) { comps.push("0"); } let result = FixedNumber.from(comps[0], this.format); const hasFraction = !comps[1].match(/^(0*)$/); if (this.isNegative() && hasFraction) { result = result.subUnsafe(ONE.toFormat(result.format)); } return result; } ceiling(): FixedNumber { const comps = this.toString().split("."); if (comps.length === 1) { comps.push("0"); } let result = FixedNumber.from(comps[0], this.format); const hasFraction = !comps[1].match(/^(0*)$/); if (!this.isNegative() && hasFraction) { result = result.addUnsafe(ONE.toFormat(result.format)); } return result; } // @TODO: Support other rounding algorithms round(decimals?: number): FixedNumber { if (decimals == null) { decimals = 0; } // If we are already in range, we're done const comps = this.toString().split("."); if (comps.length === 1) { comps.push("0"); } if (decimals < 0 || decimals > 80 || (decimals % 1)) { logger.throwArgumentError("invalid decimal count", "decimals", decimals); } if (comps[1].length <= decimals) { return this; } const factor = FixedNumber.from("1" + zeros.substring(0, decimals), this.format); const bump = BUMP.toFormat(this.format); return this.mulUnsafe(factor).addUnsafe(bump).floor().divUnsafe(factor); } isZero(): boolean { return (this._value === "0.0" || this._value === "0"); } isNegative(): boolean { return (this._value[0] === "-"); } toString(): string { return this._value; } toHexString(width?: number): string { if (width == null) { return this._hex; } if (width % 8) { logger.throwArgumentError("invalid byte width", "width", width); } const hex = BigNumber.from(this._hex).fromTwos(this.format.width).toTwos(width).toHexString(); return hexZeroPad(hex, width / 8); } toUnsafeFloat(): number { return parseFloat(this.toString()); } toFormat(format: FixedFormat | string): FixedNumber { return FixedNumber.fromString(this._value, format); } static fromValue(value: BigNumber, decimals?: BigNumberish, format?: FixedFormat | string | number): FixedNumber { // If decimals looks more like a format, and there is no format, shift the parameters if (format == null && decimals != null && !isBigNumberish(decimals)) { format = decimals; decimals = null; } if (decimals == null) { decimals = 0; } if (format == null) { format = "fixed"; } return FixedNumber.fromString(formatFixed(value, decimals), FixedFormat.from(format)); } static fromString(value: string, format?: FixedFormat | string | number): FixedNumber { if (format == null) { format = "fixed"; } const fixedFormat = FixedFormat.from(format); const numeric = parseFixed(value, fixedFormat.decimals); if (!fixedFormat.signed && numeric.lt(Zero)) { throwFault("unsigned value cannot be negative", "overflow", "value", value); } let hex: string = null; if (fixedFormat.signed) { hex = numeric.toTwos(fixedFormat.width).toHexString(); } else { hex = numeric.toHexString(); hex = hexZeroPad(hex, fixedFormat.width / 8); } const decimal = formatFixed(numeric, fixedFormat.decimals); return new FixedNumber(_constructorGuard, hex, decimal, fixedFormat); } static fromBytes(value: BytesLike, format?: FixedFormat | string | number): FixedNumber { if (format == null) { format = "fixed"; } const fixedFormat = FixedFormat.from(format); if (arrayify(value).length > fixedFormat.width / 8) { throw new Error("overflow"); } let numeric = BigNumber.from(value); if (fixedFormat.signed) { numeric = numeric.fromTwos(fixedFormat.width); } const hex = numeric.toTwos((fixedFormat.signed ? 0: 1) + fixedFormat.width).toHexString(); const decimal = formatFixed(numeric, fixedFormat.decimals); return new FixedNumber(_constructorGuard, hex, decimal, fixedFormat); } static from(value: any, format?: FixedFormat | string | number) { if (typeof(value) === "string") { return FixedNumber.fromString(value, format); } if (isBytes(value)) { return FixedNumber.fromBytes(value, format); } try { return FixedNumber.fromValue(value, 0, format); } catch (error) { // Allow NUMERIC_FAULT to bubble up if (error.code !== Logger.errors.INVALID_ARGUMENT) { throw error; } } return logger.throwArgumentError("invalid FixedNumber value", "value", value); } static isFixedNumber(value: any): value is FixedNumber { return !!(value && value._isFixedNumber); } } const ONE = FixedNumber.from(1); const BUMP = FixedNumber.from("0.5");