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/*
This file is part of TALER
(C) 2018 GNUnet e.V. and INRIA
TALER is free software; you can redistribute it and/or modify it under the
terms of the GNU General Public License as published by the Free Software
Foundation; either version 3, or (at your option) any later version.
TALER is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with
TALER; see the file COPYING. If not, see <http://www.gnu.org/licenses/>
*/
/**
* Types and helper functions for dealing with Taler amounts.
*/
/**
* Imports.
*/
import { Checkable } from "./checkable";
/**
* Number of fractional units that one value unit represents.
*/
export const fractionalBase = 1e8;
/**
* How many digits behind the comma are required to represent the
* fractional value in human readable decimal format? Must match
* lg(fractionalBase)
*/
export const fractionalLength = 8;
/**
* Maximum allowed value field of an amount.
*/
export const maxAmountValue = 2 ** 52;
/**
* Non-negative financial amount. Fractional values are expressed as multiples
* of 1e-8.
*/
@Checkable.Class()
export class AmountJson {
/**
* Value, must be an integer.
*/
@Checkable.Number()
readonly value: number;
/**
* Fraction, must be an integer. Represent 1/1e8 of a unit.
*/
@Checkable.Number()
readonly fraction: number;
/**
* Currency of the amount.
*/
@Checkable.String()
readonly currency: string;
/**
* Verify that a value matches the schema of this class and convert it into a
* member.
*/
static checked: (obj: any) => AmountJson;
}
/**
* Result of a possibly overflowing operation.
*/
export interface Result {
/**
* Resulting, possibly saturated amount.
*/
amount: AmountJson;
/**
* Was there an over-/underflow?
*/
saturated: boolean;
}
/**
* Get an amount that represents zero units of a currency.
*/
export function getZero(currency: string): AmountJson {
return {
currency,
fraction: 0,
value: 0,
};
}
export function sum(amounts: AmountJson[]) {
if (amounts.length <= 0) {
throw Error("can't sum zero amounts");
}
return add(amounts[0], ...amounts.slice(1));
}
/**
* Add two amounts. Return the result and whether
* the addition overflowed. The overflow is always handled
* by saturating and never by wrapping.
*
* Throws when currencies don't match.
*/
export function add(first: AmountJson, ...rest: AmountJson[]): Result {
const currency = first.currency;
let value = first.value + Math.floor(first.fraction / fractionalBase);
if (value > maxAmountValue) {
return {
amount: { currency, value: maxAmountValue, fraction: fractionalBase - 1 },
saturated: true
};
}
let fraction = first.fraction % fractionalBase;
for (const x of rest) {
if (x.currency !== currency) {
throw Error(`Mismatched currency: ${x.currency} and ${currency}`);
}
value = value + x.value + Math.floor((fraction + x.fraction) / fractionalBase);
fraction = Math.floor((fraction + x.fraction) % fractionalBase);
if (value > maxAmountValue) {
return {
amount: { currency, value: maxAmountValue, fraction: fractionalBase - 1 },
saturated: true
};
}
}
return { amount: { currency, value, fraction }, saturated: false };
}
/**
* Subtract two amounts. Return the result and whether
* the subtraction overflowed. The overflow is always handled
* by saturating and never by wrapping.
*
* Throws when currencies don't match.
*/
export function sub(a: AmountJson, ...rest: AmountJson[]): Result {
const currency = a.currency;
let value = a.value;
let fraction = a.fraction;
for (const b of rest) {
if (b.currency !== currency) {
throw Error(`Mismatched currency: ${b.currency} and ${currency}`);
}
if (fraction < b.fraction) {
if (value < 1) {
return { amount: { currency, value: 0, fraction: 0 }, saturated: true };
}
value--;
fraction += fractionalBase;
}
console.assert(fraction >= b.fraction);
fraction -= b.fraction;
if (value < b.value) {
return { amount: { currency, value: 0, fraction: 0 }, saturated: true };
}
value -= b.value;
}
return { amount: { currency, value, fraction }, saturated: false };
}
/**
* Compare two amounts. Returns 0 when equal, -1 when a < b
* and +1 when a > b. Throws when currencies don't match.
*/
export function cmp(a: AmountJson, b: AmountJson): number {
if (a.currency !== b.currency) {
throw Error(`Mismatched currency: ${a.currency} and ${b.currency}`);
}
const av = a.value + Math.floor(a.fraction / fractionalBase);
const af = a.fraction % fractionalBase;
const bv = b.value + Math.floor(b.fraction / fractionalBase);
const bf = b.fraction % fractionalBase;
switch (true) {
case av < bv:
return -1;
case av > bv:
return 1;
case af < bf:
return -1;
case af > bf:
return 1;
case af === bf:
return 0;
default:
throw Error("assertion failed");
}
}
/**
* Create a copy of an amount.
*/
export function copy(a: AmountJson): AmountJson {
return {
currency: a.currency,
fraction: a.fraction,
value: a.value,
};
}
/**
* Divide an amount. Throws on division by zero.
*/
export function divide(a: AmountJson, n: number): AmountJson {
if (n === 0) {
throw Error(`Division by 0`);
}
if (n === 1) {
return {value: a.value, fraction: a.fraction, currency: a.currency};
}
const r = a.value % n;
return {
currency: a.currency,
fraction: Math.floor(((r * fractionalBase) + a.fraction) / n),
value: Math.floor(a.value / n),
};
}
/**
* Check if an amount is non-zero.
*/
export function isNonZero(a: AmountJson): boolean {
return a.value > 0 || a.fraction > 0;
}
/**
* Parse an amount like 'EUR:20.5' for 20 Euros and 50 ct.
*/
export function parse(s: string): AmountJson|undefined {
const res = s.match(/^([a-zA-Z0-9_*-]+):([0-9]+)([.][0-9]+)?$/);
if (!res) {
return undefined;
}
const tail = res[3] || ".0";
if (tail.length > fractionalLength + 1) {
return undefined;
}
let value = Number.parseInt(res[2]);
if (value > maxAmountValue) {
return undefined;
}
return {
currency: res[1],
fraction: Math.round(fractionalBase * Number.parseFloat(tail)),
value,
};
}
/**
* Parse amount in standard string form (like 'EUR:20.5'),
* throw if the input is not a valid amount.
*/
export function parseOrThrow(s: string): AmountJson {
const res = parse(s);
if (!res) {
throw Error(`Can't parse amount: "${s}"`);
}
return res;
}
/**
* Convert a float to a Taler amount.
* Loss of precision possible.
*/
export function fromFloat(floatVal: number, currency: string) {
return {
currency,
fraction: Math.floor((floatVal - Math.floor(floatVal)) * fractionalBase),
value: Math.floor(floatVal),
};
}
/**
* Convert to standard human-readable string representation that's
* also used in JSON formats.
*/
export function toString(a: AmountJson): string {
const av = a.value + Math.floor(a.fraction / fractionalBase);
const af = a.fraction % fractionalBase;
let s = av.toString()
if (af) {
s = s + ".";
let n = af;
for (let i = 0; i < fractionalLength; i++) {
if (!n) {
break;
}
s = s + Math.floor(n / fractionalBase * 10).toString();
n = (n * 10) % fractionalBase;
}
}
return `${a.currency}:${s}`;
}
/**
* Check if the argument is a valid amount in string form.
*/
export function check(a: any): boolean {
if (typeof a !== "string") {
return false;
}
try {
const parsedAmount = parse(a);
return !!parsedAmount;
} catch {
return false;
}
}
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