@ -19,6 +19,7 @@ An arbitrary-precision Decimal type for JavaScript.
- No dependencies
- No dependencies
- Wide platform compatibility: uses JavaScript 1.5 (ECMAScript 3) features only
- Wide platform compatibility: uses JavaScript 1.5 (ECMAScript 3) features only
- Comprehensive [documentation ](https://mikemcl.github.io/decimal.js/ ) and test set
- Comprehensive [documentation ](https://mikemcl.github.io/decimal.js/ ) and test set
- Used under the hood by [math.js ](https://github.com/josdejong/mathjs )
- Includes a TypeScript declaration file: *decimal.d.ts*
- Includes a TypeScript declaration file: *decimal.d.ts*
@ -43,12 +44,10 @@ Browser:
```html
```html
< script src = 'path/to/decimal.js' > < / script > < script src = 'path/to/decimal.js' > < / script >
```
or
```html
< script type = "module" > < script type = "module" >
import Decimal from './path/to/decimal.mjs';
import Decimal from './path/to/decimal.mjs';
...
...
< / script > < / script >
```
```
@ -58,25 +57,19 @@ import Decimal from './path/to/decimal.mjs';
npm install decimal.js
npm install decimal.js
```
```
```js
```js
var Decimal = require('decimal.js');
const Decimal = require('decimal.js');
```
or
```js
import Decimal from 'decimal.js';
import Decimal from 'decimal.js';
```
or
```js
import {Decimal} from 'decimal.js';
import {Decimal} from 'decimal.js';
```
```
## Use
## Use
*In all examples below, `var` , `toString` calls are not shown.
*In all examples below, semicolons and `toString` calls are not shown.
If a commented-out value is in quotes it means `toString` has been called on the preceding expression.*
If a commented-out value is in quotes it means `toString` has been called on the preceding expression.*
The library exports a single function object, `Decimal` , the constructor of Decimal instances.
The library exports a single constructor function, `Decimal` , which expects a single argument that is a number, string or Decimal instance.
It accepts a value of type number, string or Decimal.
```js
```js
x = new Decimal(123.4567)
x = new Decimal(123.4567)
@ -85,7 +78,29 @@ z = new Decimal(x)
x.equals(y) & & y.equals(z) & & x.equals(z) // true
x.equals(y) & & y.equals(z) & & x.equals(z) // true
```
```
A value can also be in binary, hexadecimal or octal if the appropriate prefix is included.
If using values with more than a few digits, it is recommended to pass strings rather than numbers to avoid a potential loss of precision.
```js
// Precision loss from using numeric literals with more than 15 significant digits.
new Decimal(1.0000000000000001) // '1'
new Decimal(88259496234518.57) // '88259496234518.56'
new Decimal(99999999999999999999) // '100000000000000000000'
// Precision loss from using numeric literals outside the range of Number values.
new Decimal(2e+308) // 'Infinity'
new Decimal(1e-324) // '0'
// Precision loss from the unexpected result of arithmetic with Number values.
new Decimal(0.7 + 0.1) // '0.7999999999999999'
```
As with JavaScript numbers, strings can contain underscores as separators to improve readability.
```js
x = new Decimal('2_147_483_647')
```
String values in binary, hexadecimal or octal notation are also accepted if the appropriate prefix is included.
```js
```js
x = new Decimal('0xff.f') // '255.9375'
x = new Decimal('0xff.f') // '255.9375'
@ -94,15 +109,13 @@ z = x.plus(y) // '427.9375'
z.toBinary() // '0b110101011.1111'
z.toBinary() // '0b110101011.1111'
z.toBinary(13) // '0b1.101010111111p+8'
z.toBinary(13) // '0b1.101010111111p+8'
```
Using binary exponential notation to create a Decimal with the value of `Number.MAX_VALUE` :
```js // Using binary exponential notation to create a Decimal with the value of `Number.MAX_VALUE` .
x = new Decimal('0b1.1111111111111111111111111111111111111111111111111111p+1023')
x = new Decimal('0b1.1111111111111111111111111111111111111111111111111111p+1023')
// '1.7976931348623157081e+308'
```
```
A Decimal is immutable in the sense that it is not changed by its methods.Decimal instances are immutable in the sense that they are not changed by their methods.
```js
```js
0.3 - 0.1 // 0.19999999999999998
0.3 - 0.1 // 0.19999999999999998
@ -115,33 +128,34 @@ The methods that return a Decimal can be chained.
```js
```js
x.dividedBy(y).plus(z).times(9).floor()
x.dividedBy(y).plus(z).times(9).floor()
x.times('1.23456780123456789e+9').plus(9876.5432321).dividedBy('4_ 444_ 562_ 598.111772').ceil()
x.times('1.23456780123456789e+9').plus(9876.5432321).dividedBy('4444562598.111772').ceil()
```
```
Many method names have a shorter alias.
Many method names have a shorter alias.
```js
```js
x.squareRoot().dividedBy(y).toPower(3).equals(x.sqrt().div(y).pow(3)) // true
x.squareRoot().dividedBy(y).toPower(3).equals(x.sqrt().div(y).pow(3)) // true
x.cmp(y.mod(z).neg()) == 1 & & x.comparedTo(y.modulo(z).negated()) == 1 // true
x.comparedTo(y.modulo(z).negated() === x.cmp(y.mod(z).neg()) // true
```
```
Like JavaScript's Number type, there are `toExponential` , `toFixed` and `toPrecision` methods, Most of the methods of JavaScript's `Number.prototype` and `Math` objects are replicated.
```js
```js
x = new Decimal(255.5)
x = new Decimal(255.5)
x.toExponential(5) // '2.55500e+2'
x.toExponential(5) // '2.55500e+2'
x.toFixed(5) // '255.50000'
x.toFixed(5) // '255.50000'
x.toPrecision(5) // '255.50'
x.toPrecision(5) // '255.50'
```
and almost all of the methods of JavaScript's Math object are also replicated.
```js
Decimal.sqrt('6.98372465832e+9823') // '8.3568682281821340204e+4911'
Decimal.sqrt('6.98372465832e+9823') // '8.3568682281821340204e+4911'
Decimal.pow(2, 0.0979843) // '1.0702770511687781839'
Decimal.pow(2, 0.0979843) // '1.0702770511687781839'
// Using `toFixed()` to avoid exponential notation:
x = new Decimal('0.0000001')
x.toString() // '1e-7'
x.toFixed() // ''0.0000001'
```
```
There are `isNaN` and `isFinite` methods, as `NaN` and `Infinity` are valid `Decimal` values,
And t here are `isNaN` and `isFinite` methods, as `NaN` and `Infinity` are valid `Decimal` values.
```js
```js
x = new Decimal(NaN) // 'NaN'
x = new Decimal(NaN) // 'NaN'
@ -149,7 +163,7 @@ y = new Decimal(Infinity) // 'Infinity'
x.isNaN() & & !y.isNaN() & & !x.isFinite() & & !y.isFinite() // true
x.isNaN() & & !y.isNaN() & & !x.isFinite() & & !y.isFinite() // true
```
```
and a `toFraction` method with an optional *maximum denominator* argumentThere is also a `toFraction` method with an optional *maximum denominator* argument.
```js
```js
z = new Decimal(355)
z = new Decimal(355)
@ -169,16 +183,16 @@ configuration which applies to all Decimal numbers created from it.
Decimal.set({ precision: 5, rounding: 4 })
Decimal.set({ precision: 5, rounding: 4 })
// Create another Decimal constructor, optionally passing in a configuration object
// Create another Decimal constructor, optionally passing in a configuration object
Decimal9 = Decimal.clone({ precision: 9, rounding: 1 })
Dec = Decimal.clone({ precision: 9, rounding: 1 })
x = new Decimal(5)
x = new Decimal(5)
y = new Decimal9 (5)
y = new Dec(5)
x.div(3) // '1.6667'
x.div(3) // '1.6667'
y.div(3) // '1.66666666'
y.div(3) // '1.66666666'
```
```
The value of a Decimal is stored in a floating point format in terms of its digits, exponent and sign.
The value of a Decimal is stored in a floating point format in terms of its digits, exponent and sign, but these properties should be considered read-only .
```js
```js
x = new Decimal(-12345.67);
x = new Decimal(-12345.67);
@ -191,41 +205,32 @@ For further information see the [API](http://mikemcl.github.io/decimal.js/) refe
## Test
## Test
The library can be tested using Node.js or a browser.
To run the tests using Node.js from the root directory:
The *test* directory contains the file *test.js* which runs all the tests when executed by Node,
and the file *test.html* which runs all the tests when opened in a browser.
To run all the tests, from a command-line at the root directory using npm
```bash
```bash
npm test
npm test
```
```
or at the *test* directory using Node Each separate test module can also be executed individually, for example:
```bash
```bash
node test
node test/modules/toFraction
```
```
Each separate test module can also be executed individually, for example, at the *test/modules* directory
To run the tests in a browser, open *test/test.html* .
```bash
node toFraction
```
## Minify
## Minify
The minified version of *decimal.js* and its associated source map found in this repository was created with
Two minification examples:
[uglify-js ](https://github.com/mishoo/UglifyJS ) using
Using [uglify-js ](https://github.com/mishoo/UglifyJS ) to minify the *decimal.js* file:
```bash
```bash
npm install uglify-js -g
npm install uglify-js -g
uglifyjs decimal.js --source-map url=decimal.min.js.map -- compress -- mangle - -output decimal.min.js
uglifyjs decimal.js --source-map url=decimal.min.js.map -c -m -o decimal.min.js
```
```
The minified version of *decimal.mjs* and its associated source map found in this repository was created with
Using [terser ](https://github.com/terser/terser ) to minify the ES module version, *decimal.mjs* :
[terser ](https://github.com/terser/terser ) using
```bash
```bash
npm install terser -g
npm install terser -g
@ -238,6 +243,4 @@ import Decimal from './decimal.min.mjs';
## Licence
## Licence
MIT.
[The MIT Licence (Expat). ](LICENCE.md )
See *LICENCE.md*
Michael Mclaughlin
3 years ago