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Complex64

NPM versionBuild StatusCoverage Status

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

varComplex64=require('@stdlib/complex-float32-ctor');

Complex64( real, imag )

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

varz=newComplex64(5.0,3.0);// returns <Complex64>

Properties

Complex64.name

Static property returning the constructor name.

varstr=Complex64.name;// returns 'Complex64'

Complex64.BYTES_PER_ELEMENT

Size (in bytes) of each component.

varnbytes=Complex64.BYTES_PER_ELEMENT;// returns 4

Complex64.prototype.BYTES_PER_ELEMENT

Size (in bytes) of each component.

varz=newComplex64(5.0,3.0);varnbytes=z.BYTES_PER_ELEMENT;// returns 4

Complex64.prototype.byteLength

Length (in bytes) of a complex number.

varz=newComplex64(5.0,3.0);varnbytes=z.byteLength;// returns 8

Instance

A Complex64 instance has the following properties...

re

A read-only property returning the real component.

varz=newComplex64(5.0,3.0);varre=z.re;// returns 5.0

im

A read-only property returning the imaginary component.

varz=newComplex64(5.0,-3.0);varim=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.

varz=newComplex64(5.0,3.0);varstr=z.toString();// returns '5 + 3i'z=newComplex64(-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.

varz=newComplex64(5.0,-3.0);varo=z.toJSON();/* { "type": "Complex64", "re": 5.0, "im": -3.0 }*/

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


Notes

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

Examples

varComplex64=require('@stdlib/complex-float32-ctor');varz=newComplex64(3.0,-2.0);console.log('type: %s',typeofz);// => '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_tz=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.

floatrealf( conststdlib_complex64_tz ) {
stdlib_complex64_parts_tv;
// Assign a single-precision complex floating-point number:v.value=z;
// Extract the real component:floatre=v.parts[ 0 ];
returnre;
}
// ...// Create a complex number:stdlib_complex64_tz=stdlib_complex64( 5.0f, 2.0f );
// ...// Access the real component:floatre=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.

stdlib_complex64( real, imag )

Returns a single-precision complex floating-point number.

stdlib_complex64_tz=stdlib_complex64( 5.0f, 2.0f );

The function accepts the following arguments:

  • real: [in] float real component.
  • imag: [in] float imaginary component.
stdlib_complex64_tstdlib_complex64( constfloatreal, constfloatimag );

stdlib_complex64_from_float32( real )

Converts a single-precision floating-point number to a single-precision complex floating-point number.

stdlib_complex64_tz=stdlib_complex64_from_float32( 5.0f );

The function accepts the following arguments:

  • real: [in] float real component.
stdlib_complex64_tstdlib_complex64_from_float32( constfloatreal );

stdlib_complex64_from_float64( real )

Converts a double-precision floating-point number to a single-precision complex floating-point number.

stdlib_complex64_tz=stdlib_complex64_from_float64( 5.0 );

The function accepts the following arguments:

  • real: [in] double real component.
stdlib_complex64_tstdlib_complex64_from_float64( constdoublereal );

stdlib_complex64_from_complex64( z )

Converts (copies) a single-precision complex floating-point number to a single-precision complex floating-point number.

stdlib_complex64_tz1=stdlib_complex64( 5.0f, 3.0f );
stdlib_complex64_tz2=stdlib_complex64_from_complex64( z1 );

The function accepts the following arguments:

  • z: [in] stdlib_complex64_t single-precision complex floating-point number.
stdlib_complex64_tstdlib_complex64_from_complex64( conststdlib_complex64_tz );

stdlib_complex64_from_int8( real )

Converts a signed 8-bit integer to a single-precision complex floating-point number.

stdlib_complex64_tz=stdlib_complex64_from_int8( 5 );

The function accepts the following arguments:

  • real: [in] int8_t real component.
stdlib_complex64_tstdlib_complex64_from_int8( constint8_treal );

stdlib_complex64_from_uint8( real )

Converts an unsigned 8-bit integer to a single-precision complex floating-point number.

stdlib_complex64_tz=stdlib_complex64_from_uint8( 5 );

The function accepts the following arguments:

  • real: [in] uint8_t real component.
stdlib_complex64_tstdlib_complex64_from_uint8( constuint8_treal );

stdlib_complex64_from_int16( real )

Converts a signed 16-bit integer to a single-precision complex floating-point number.

stdlib_complex64_tz=stdlib_complex64_from_int16( 5 );

The function accepts the following arguments:

  • real: [in] int16_t real component.
stdlib_complex64_tstdlib_complex64_from_int16( constint16_treal );

stdlib_complex64_from_uint16( real )

Converts an unsigned 16-bit integer to a single-precision complex floating-point number.

stdlib_complex64_tz=stdlib_complex64_from_uint16( 5 );

The function accepts the following arguments:

  • real: [in] uint16_t real component.
stdlib_complex64_tstdlib_complex64_from_uint16( constuint16_treal );

Examples

#include"stdlib/complex/float32/ctor.h"#include<stdint.h>#include<stdio.h>/*** Return the real component of a single-precision complex floating-point number.** @param z complex number* @return real component*/staticfloatreal( conststdlib_complex64_tz ) {
stdlib_complex64_parts_tv;
// Assign a single-precision complex floating-point number:v.value=z;
// Extract the real component:floatre=v.parts[ 0 ];
returnre;
}
/*** Return the imaginary component of a single-precision complex floating-point number.** @param z complex number* @return imaginary component*/staticfloatimag( conststdlib_complex64_tz ) {
stdlib_complex64_parts_tv;
// Assign a single-precision complex floating-point number:v.value=z;
// Extract the imaginary component:floatim=v.parts[ 1 ];
returnim;
}
intmain( void ) {
conststdlib_complex64_tx[] = {
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_tv;
inti;
for ( i=0; i<4; i++ ) {
v=x[ i ];
printf( "%f + %fi\n", real( v ), imag( v ) );
}
}

See Also


Notice

This package is part of 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, see the main project repository.

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License

See LICENSE.

Copyright

Copyright © 2016-2026. The Stdlib Authors.

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