Complex64

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Complex64

64-bit complex number.

Installation

npm install @stdlib/complex-float32-ctor

Alternatively,

To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
If you are using Deno, visit the deno branch (see README for usage intructions).
For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

Usage

var Complex64 = require( '@stdlib/complex-float32-ctor' );

Complex64( real, imag )

64-bit complex number constructor, where real and imag are the real and imaginary components, respectively.

var z = new Complex64( 5.0, 3.0 );
// returns <Complex64>

Properties

Complex64.BYTES_PER_ELEMENT

Size (in bytes) of each component.

var nbytes = Complex64.BYTES_PER_ELEMENT;
// returns 4

Complex64.prototype.BYTES_PER_ELEMENT

Size (in bytes) of each component.

var z = new Complex64( 5.0, 3.0 );

var nbytes = z.BYTES_PER_ELEMENT;
// returns 4

Complex64.prototype.byteLength

Length (in bytes) of a complex number.

var z = new Complex64( 5.0, 3.0 );

var nbytes = z.byteLength;
// returns 8

Instance

A Complex64 instance has the following properties...

re

A read-only property returning the real component.

var z = new Complex64( 5.0, 3.0 );

var re = z.re;
// returns 5.0

im

A read-only property returning the imaginary component.

var z = new Complex64( 5.0, -3.0 );

var im = z.im;
// returns -3.0

Methods

Accessor Methods

These methods do not mutate a Complex64 instance and, instead, return a complex number representation.

Complex64.prototype.toString()

Returns a string representation of a Complex64 instance.

var z = new Complex64( 5.0, 3.0 );
var str = z.toString();
// returns '5 + 3i'

z = new Complex64( -5.0, -3.0 );
str = z.toString();
// returns '-5 - 3i'

Complex64.prototype.toJSON()

Returns a JSON representation of a Complex64 instance. JSON.stringify() implicitly calls this method when stringifying a Complex64 instance.

var z = new Complex64( 5.0, -3.0 );

var o = z.toJSON();
/*
  {
    "type": "Complex64",
    "re": 5.0,
    "im": -3.0
  }
*/

To revive a Complex64 number from a JSON string, see @stdlib/complex/float32/reviver.

Notes

Both the real and imaginary components are stored as single-precision floating-point numbers.

Examples

var Complex64 = require( '@stdlib/complex-float32-ctor' );

var z = new Complex64( 3.0, -2.0 );

console.log( 'type: %s', typeof z );
// => 'type: object'

console.log( 'str: %s', z );
// => 'str: 3 - 2i'

console.log( 'real: %d', z.re );
// => 'real: 3'

console.log( 'imaginary: %d', z.im );
// => 'imaginary: -2'

console.log( 'JSON: %s', JSON.stringify( z ) );
// => 'JSON: {"type":"Complex64","re":3,"im":-2}'

C APIs

Usage

#include "stdlib/complex/float32/ctor.h"

stdlib_complex64_t

An opaque type definition for a single-precision complex floating-point number.

stdlib_complex64_t z = stdlib_complex64( 5.0f, 2.0f );

stdlib_complex64_parts_t

An opaque type definition for a union for accessing the real and imaginary parts of a single-precision complex floating-point number.

float realf( const stdlib_complex64_t z ) {
    stdlib_complex64_parts_t v;

    // Assign a single-precision complex floating-point number:
    v.value = z;

    // Extract the real component:
    float re = v.parts[ 0 ];

    return re;
}

// ...

// Create a complex number:
stdlib_complex64_t z = stdlib_complex64( 5.0f, 2.0f );

// ...

// Access the real component:
float re = realf( z );
// returns 5.0f

The union has the following members:

value: stdlib_complex64_t single-precision complex floating-point number.
parts: float[] array having the following elements:
- 0: float real component.
- 1: float imaginary component.