64-bit complex number.
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> 64-bit complex number.
``bash`
npm install @stdlib/complex-float32-ctor
`javascript`
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.
`javascript`
var z = new Complex64( 5.0, 3.0 );
// returns
*
#### Complex64.name
Static property returning the constructor name.
`javascript`
var str = Complex64.name;
// returns 'Complex64'
#### Complex64.BYTES_PER_ELEMENT
Size (in bytes) of each component.
`javascript`
var nbytes = Complex64.BYTES_PER_ELEMENT;
// returns 4
#### Complex64.prototype.BYTES_PER_ELEMENT
Size (in bytes) of each component.
`javascript
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.
`javascript
var z = new Complex64( 5.0, 3.0 );
var nbytes = z.byteLength;
// returns 8
`
A Complex64 instance has the following properties...
#### re
A read-only property returning the real component.
`javascript
var z = new Complex64( 5.0, 3.0 );
var re = z.re;
// returns 5.0
`
#### im
A read-only property returning the imaginary component.
`javascript
var z = new Complex64( 5.0, -3.0 );
var im = z.im;
// returns -3.0
`
*
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.
`javascript
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][json] representation of a Complex64 instance. [JSON.stringify()][mdn-json-stringify] implicitly calls this method when stringifying a Complex64 instance.
`javascript
var z = new Complex64( 5.0, -3.0 );
var o = z.toJSON();
/*
{
"type": "Complex64",
"re": 5.0,
"im": -3.0
}
*/
`
To [revive][mdn-json-parse] a Complex64 number from a [JSON][json] string, see [@stdlib/complex/float32/reviver][@stdlib/complex/float32/reviver].
*
- Both the real and imaginary components are stored as single-precision floating-point numbers.
*
`javascript
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`
#include "stdlib/complex/float32/ctor.h"
#### stdlib_complex64_t
An opaque type definition for a single-precision complex floating-point number.
`c`
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.
`c
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.float
- 1: imaginary component.
#### stdlib_complex64( real, imag )
Returns a single-precision complex floating-point number.
`c`
stdlib_complex64_t z = stdlib_complex64( 5.0f, 2.0f );
The function accepts the following arguments:
- real: [in] float real component.[in] float
- imag: imaginary component.
`c`
stdlib_complex64_t stdlib_complex64( const float real, const float imag );
#### stdlib_complex64_from_float32( real )
Converts a single-precision floating-point number to a single-precision complex floating-point number.
`c`
stdlib_complex64_t z = stdlib_complex64_from_float32( 5.0f );
The function accepts the following arguments:
- real: [in] float real component.
`c`
stdlib_complex64_t stdlib_complex64_from_float32( const float real );
#### stdlib_complex64_from_float64( real )
Converts a double-precision floating-point number to a single-precision complex floating-point number.
`c`
stdlib_complex64_t z = stdlib_complex64_from_float64( 5.0 );
The function accepts the following arguments:
- real: [in] double real component.
`c`
stdlib_complex64_t stdlib_complex64_from_float64( const double real );
#### stdlib_complex64_from_complex64( z )
Converts (copies) a single-precision complex floating-point number to a single-precision complex floating-point number.
`c`
stdlib_complex64_t z1 = stdlib_complex64( 5.0f, 3.0f );
stdlib_complex64_t z2 = stdlib_complex64_from_complex64( z1 );
The function accepts the following arguments:
- z: [in] stdlib_complex64_t single-precision complex floating-point number.
`c`
stdlib_complex64_t stdlib_complex64_from_complex64( const stdlib_complex64_t z );
#### stdlib_complex64_from_int8( real )
Converts a signed 8-bit integer to a single-precision complex floating-point number.
`c`
stdlib_complex64_t z = stdlib_complex64_from_int8( 5 );
The function accepts the following arguments:
- real: [in] int8_t real component.
`c`
stdlib_complex64_t stdlib_complex64_from_int8( const int8_t real );
#### stdlib_complex64_from_uint8( real )
Converts an unsigned 8-bit integer to a single-precision complex floating-point number.
`c`
stdlib_complex64_t z = stdlib_complex64_from_uint8( 5 );
The function accepts the following arguments:
- real: [in] uint8_t real component.
`c`
stdlib_complex64_t stdlib_complex64_from_uint8( const uint8_t real );
#### stdlib_complex64_from_int16( real )
Converts a signed 16-bit integer to a single-precision complex floating-point number.
`c`
stdlib_complex64_t z = stdlib_complex64_from_int16( 5 );
The function accepts the following arguments:
- real: [in] int16_t real component.
`c`
stdlib_complex64_t stdlib_complex64_from_int16( const int16_t real );
#### stdlib_complex64_from_uint16( real )
Converts an unsigned 16-bit integer to a single-precision complex floating-point number.
`c`
stdlib_complex64_t z = stdlib_complex64_from_uint16( 5 );
The function accepts the following arguments:
- real: [in] uint16_t real component.
`c`
stdlib_complex64_t stdlib_complex64_from_uint16( const uint16_t real );
`c
#include "stdlib/complex/float32/ctor.h"
#include
#include
/**
* Return the real component of a single-precision complex floating-point number.
*
* @param z complex number
* @return real component
*/
static float real( 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;
}
/**
* Return the imaginary component of a single-precision complex floating-point number.
*
* @param z complex number
* @return imaginary component
*/
static float imag( const stdlib_complex64_t z ) {
stdlib_complex64_parts_t v;
// Assign a single-precision complex floating-point number:
v.value = z;
// Extract the imaginary component:
float im = v.parts[ 1 ];
return im;
}
int main( void ) {
const stdlib_complex64_t x[] = {
stdlib_complex64( 5.0f, 2.0f ),
stdlib_complex64( -2.0f, 1.0f ),
stdlib_complex64( 0.0f, -0.0f ),
stdlib_complex64( 0.0f/0.0f, 0.0f/0.0f )
};
stdlib_complex64_t v;
int i;
for ( i = 0; i < 4; i++ ) {
v = x[ i ];
printf( "%f + %fi\n", real( v ), imag( v ) );
}
}
`
*
- [@stdlib/complex-cmplx][@stdlib/complex/cmplx]: create a complex number.
- [@stdlib/complex-float64/ctor][@stdlib/complex/float64/ctor]: 128-bit complex number.
*
This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.
For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].
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---
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Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[@stdlib/complex/float32/reviver]: https://www.npmjs.com/package/@stdlib/complex-float32-reviver
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[@stdlib/complex/float64/ctor]: https://www.npmjs.com/package/@stdlib/complex-float64-ctor