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README.md

Complex64Array

64-bit complex number array.

Usage

var Complex64Array = require( '@stdlib/array/complex64' );

Complex64Array()

Creates a 64-bit complex number array.

var arr = new Complex64Array();
// returns <Complex64Array>

Complex64Array( length )

Creates a 64-bit complex number array having a specified length.

var arr = new Complex64Array( 10 );
// returns <Complex64Array>

var len = arr.length;
// returns 10

Complex64Array( typedarray )

Creates a 64-bit complex number array from a typed array containing interleaves real and imaginary components.

var Float32Array = require( '@stdlib/array/float32' );

var buf = new Float32Array( [ 1.0, -1.0, 2.0, -2.0 ] ); // [ re, im, re, im ]
// returns <Float32Array>[ 1.0, -1.0, 2.0, -2.0 ]

var arr = new Complex64Array( buf );
// returns <Complex64Array>

var len = arr.length;
// returns 2

Complex64Array( obj )

Creates a 64-bit complex number array from an array-like object or iterable.

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

// From an array of interleaved real and imaginary components:
var arr1 = new Complex64Array( [ 1.0, -1.0, 2.0, -2.0 ] );
// returns <Complex64Array>

var len = arr1.length;
// returns 2

// From an array containing complex numbers:
var buf = [ new Complex64( 1.0, -1.0 ), new Complex64( 2.0, -2.0 ) ];
var arr2 = new Complex64Array( buf );

len = arr2.length;
// returns 2

Complex64Array( buffer[, byteOffset[, length]] )

Returns a 64-bit complex number array view of an ArrayBuffer.

var ArrayBuffer = require( '@stdlib/array/buffer' );
var buf = new ArrayBuffer( 240 );

var arr1 = new Complex64Array( buf );
// returns <Complex64Array>

var len = arr1.length;
// returns 30

var arr2 = new Complex64Array( buf, 8 );
// returns <Complex64Array>

len = arr2.length;
// returns 29

var arr3 = new Complex64Array( buf, 8, 20 );
// returns <Complex64Array>

len = arr3.length;
// returns 20

Properties

Complex64Array.BYTES_PER_ELEMENT

Static property returning the size (in bytes) of each array element.

var nbytes = Complex64Array.BYTES_PER_ELEMENT;
// returns 8

Complex64Array.name

Static property returning the constructor name.

var str = Complex64Array.name;
// returns 'Complex64Array'

Complex64Array.prototype.buffer

Pointer to the underlying data buffer.

var arr = new Complex64Array( 2 );
// returns <Complex64Array>

var buf = arr.buffer;
// returns <ArrayBuffer>

Complex64Array.prototype.byteLength

Size (in bytes) of the array.

var arr = new Complex64Array( 10 );
// returns <Complex64Array>

var nbytes = arr.byteLength;
// returns 80

Complex64Array.prototype.byteOffset

Offset (in bytes) of the array from the start of its underlying ArrayBuffer.

var ArrayBuffer = require( '@stdlib/array/buffer' );

var arr = new Complex64Array( 10 );
// returns <Complex64Array>

var offset = arr.byteOffset;
// returns 0

var buf = new ArrayBuffer( 240 );
arr = new Complex64Array( buf, 64 );
// returns <Complex64Array>

offset = arr.byteOffset;
// returns 64

Complex64Array.prototype.BYTES_PER_ELEMENT

Size (in bytes) of each array element.

var arr = new Complex64Array( 10 );
// returns <Complex64Array>

var nbytes = arr.BYTES_PER_ELEMENT;
// returns 8

Complex64Array.prototype.length

Number of array elements.

var arr = new Complex64Array( 10 );
// returns <Complex64Array>

var len = arr.length;
// returns 10

Methods

Complex64Array.from( src[, clbk[, thisArg]] )

Creates a new 64-bit complex number array from an array-like object or an iterable.

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

// Create an array from interleaved real and imaginary components:
var arr = Complex64Array.from( [ 1.0, -1.0 ] );
// returns <Complex64Array>

var len = arr.length;
// returns 1

// Create an array from an array of complex numbers:
arr = Complex64Array.from( [ new Complex64( 1.0, -1.0 ) ] );
// returns <Complex64Array>

len = arr.length;
// returns 1

The iterator returned by an iterable must return either a complex number or an array-like object containing a real and imaginary component.

var ITERATOR_SYMBOL = require( '@stdlib/symbol/iterator' );
var Float32Array = require( '@stdlib/array/float32' );
var realf = require( '@stdlib/complex/realf' );
var imagf = require( '@stdlib/complex/imagf' );

var iter;
var arr;
var len;
var re;
var im;
var z;

// Define a function which returns an iterator protocol-compliant object...
function iterable() {
    var buf = new Float32Array( 2 );
    var i = 0;
    return {
        'next': next
    };

    function next() {
        i += 1;
        if ( i < 3 ) {
            // Reuse allocated memory...
            buf[ 0 ] = i;
            buf[ 1 ] = -i;
            return {
                'value': buf
            };
        }
        return {
            'done': true
        };
    }
}

if ( ITERATOR_SYMBOL === null ) {
    console.error( 'Environment does not support iterables.' );
} else {
    // Create an iterable:
    iter = {};
    iter[ ITERATOR_SYMBOL ] = iterable;

    // Generate a complex number array:
    arr = Complex64Array.from( iter );
    // returns <Complex64Array>

    len = arr.length;
    // returns 2

    z = arr.get( 0 );
    // returns <Complex64>

    re = realf( z );
    // returns 1.0

    im = imagf( z );
    // returns -1.0
}

To invoke a function for each src value, provide a callback function. If src is an iterable or an array-like object containing complex numbers, the callback must return either a complex number

var Complex64 = require( '@stdlib/complex/float32' );
var realf = require( '@stdlib/complex/realf' );
var imagf = require( '@stdlib/complex/imagf' );

function map( z ) {
    return new Complex64( realf(z)*2.0, imagf(z)*2.0 );
}

// Create a source array:
var src = [ new Complex64( 1.0, -1.0 ) ];

// Create a new complex number array by scaling the source array:
var arr = Complex64Array.from( src, map );
// returns <Complex64Array>

var len = arr.length;
// returns 1

var z = arr.get( 0 );
// returns <Complex64>

var re = realf( z );
// returns 2.0

var im = imagf( z );
// returns -2.0

or an array-like object containing real and imaginary components

var Float32Array = require( '@stdlib/array/float32' );
var Complex64 = require( '@stdlib/complex/float32' );
var realf = require( '@stdlib/complex/realf' );
var imagf = require( '@stdlib/complex/imagf' );

// Return a callback which reuses allocated memory...
function mapFcn() {
    var buf = new Float32Array( 2 );
    return map;

    function map( z ) {
        buf[ 0 ] = realf( z ) * 2.0;
        buf[ 1 ] = imagf( z ) * 2.0;
        return buf;
    }
}

// Create a source array:
var src = [ new Complex64( 1.0, -1.0 ), new Complex64( 2.0, -2.0 ) ];

// Create a new complex number array by scaling the source array:
var arr = Complex64Array.from( src, mapFcn() );
// returns <Complex64Array>

var len = arr.length;
// returns 2

var z = arr.get( 0 );
// returns <Complex64>

var re = realf( z );
// returns 2.0

var im = imagf( z );
// returns -2.0

z = arr.get( 1 );
// returns <Complex64>

re = realf( z );
// returns 4.0

im = imagf( z );
// returns -4.0

If src is an array-like object containing interleaved real and imaginary components, the callback is invoked for each component and should return the transformed component value.

var Float32Array = require( '@stdlib/array/float32' );
var Complex64 = require( '@stdlib/complex/float32' );
var realf = require( '@stdlib/complex/realf' );
var imagf = require( '@stdlib/complex/imagf' );

function map( v ) {
    return v * 2.0;
}

// Create a source array:
var src = new Float32Array( [ 1.0, -1.0 ] );

// Create a new complex number array by scaling the source array:
var arr = Complex64Array.from( src, map );
// returns <Complex64Array>

var len = arr.length;
// returns 1

var z = arr.get( 0 );
// returns <Complex64>

var re = realf( z );
// returns 2.0

var im = imagf( z );
// returns -2.0

A callback function is provided two arguments:

  • value: source value
  • index: source index

To set the callback execution context, provide a thisArg.

var Complex64 = require( '@stdlib/complex/float32' );
var realf = require( '@stdlib/complex/realf' );
var imagf = require( '@stdlib/complex/imagf' );

function map( z ) {
    this.count += 1;
    return new Complex64( realf(z)*2.0, imagf(z)*2.0 );
}

// Create a source array:
var src = [ new Complex64( 1.0, -1.0 ), new Complex64( 1.0, -1.0 ) ];

// Define an execution context:
var ctx = {
    'count': 0
};

// Create a new complex number array by scaling the source array:
var arr = Complex64Array.from( src, map, ctx );
// returns <Complex64Array>

var len = arr.length;
// returns 2

var n = ctx.count;
// returns 2

Complex64Array.of( element0[, element1[, ...elementN]] )

Creates a new 64-bit complex number array from a variable number of arguments.

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

var arr = Complex64Array.of( 1.0, -1.0, 2.0, -2.0 );
// returns <Complex64Array>

var len = arr.length;
// returns 2

var z1 = new Complex64( 1.0, -1.0 );
var z2 = new Complex64( 2.0, -2.0 );

arr = Complex64Array.of( z1, z2 );
// returns <Complex64Array>

len = arr.length;
// returns 2

Complex64Array.prototype.copyWithin( target, start[, end] )

Copies a sequence of elements within the array starting at start and ending at end (non-inclusive) to the position starting at target.

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

var arr = new Complex64Array( 4 );

// Set the array elements:
arr.set( new Complex64( 1.0, -1.0 ), 0 );
arr.set( new Complex64( 2.0, -2.0 ), 1 );
arr.set( new Complex64( 3.0, -3.0 ), 2 );
arr.set( new Complex64( 4.0, -4.0 ), 3 );

// Get the first array element:
var z = arr.get( [ 0.0, 0.0 ], 0 );
// returns [ 1.0, -1.0 ]

// Get the second array element:
z = arr.get( [ 0.0, 0.0 ], 1 );
// returns [ 2.0, -2.0 ]

// Copy the last two elements to the first two elements:
arr.copyWithin( 0, 2 );

// Get the first array element:
z = arr.get( [ 0.0, 0.0 ], 0 );
// returns [ 3.0, -3.0 ]

// Get the second array element:
z = arr.get( [ 0.0, 0.0 ], 1 );
// returns [ 4.0, -4.0 ]

By default, end equals the number of array elements (i.e., one more than the last array index). To limit the sequence length, provide an end argument.

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

var arr = new Complex64Array( 4 );

// Set the array elements:
arr.set( new Complex64( 1.0, -1.0 ), 0 );
arr.set( new Complex64( 2.0, -2.0 ), 1 );
arr.set( new Complex64( 3.0, -3.0 ), 2 );
arr.set( new Complex64( 4.0, -4.0 ), 3 );

// Get the third array element:
var z = arr.get( [ 0.0, 0.0 ], 2 );
// returns [ 3.0, -3.0 ]

// Get the last array element:
z = arr.get( [ 0.0, 0.0 ], 3 );
// returns [ 4.0, -4.0 ]

// Copy the first two elements to the last two elements:
arr.copyWithin( 2, 0, 2 );

// Get the third array element:
z = arr.get( [ 0.0, 0.0 ], 2 );
// returns [ 1.0, -1.0 ]

// Get the last array element:
z = arr.get( [ 0.0, 0.0 ], 3 );
// returns [ 2.0, -2.0 ]

When a target, start, and/or end index is negative, the respective index is determined relative to the last array element. The following example achieves the same behavior as the previous example:

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

var arr = new Complex64Array( 4 );

// Set the array elements:
arr.set( new Complex64( 1.0, -1.0 ), 0 );
arr.set( new Complex64( 2.0, -2.0 ), 1 );
arr.set( new Complex64( 3.0, -3.0 ), 2 );
arr.set( new Complex64( 4.0, -4.0 ), 3 );

// Get the third array element:
var z = arr.get( [ 0.0, 0.0 ], 2 );
// returns [ 3.0, -3.0 ]

// Get the last array element:
z = arr.get( [ 0.0, 0.0 ], 3 );
// returns [ 4.0, -4.0 ]

// Copy the first two elements to the last two elements using negative indices:
arr.copyWithin( -2, -4, -2 );

// Get the third array element:
z = arr.get( [ 0.0, 0.0 ], 2 );
// returns [ 1.0, -1.0 ]

// Get the last array element:
z = arr.get( [ 0.0, 0.0 ], 3 );
// returns [ 2.0, -2.0 ]

Complex64Array.prototype.entries()

Returns an iterator for iterating over array key-value pairs.

var Complex64 = require( '@stdlib/complex/float32' );
var realf = require( '@stdlib/complex/realf' );
var imagf = require( '@stdlib/complex/imagf' );

var arr = [
    new Complex64( 1.0, -1.0 ),
    new Complex64( 2.0, -2.0 ),
    new Complex64( 3.0, -3.0 )
];
arr = new Complex64Array( arr );

// Create an iterator:
var it = arr.entries();

// Iterate over the key-value pairs...
var v = it.next().value;
// returns [ 0, <Complex64> ]

var re = realf( v[ 1 ] );
// returns 1.0

var im = imagf( v[ 1 ] );
// returns -1.0

v = it.next().value;
// returns [ 1, <Complex64> ]

re = realf( v[ 1 ] );
// returns 2.0

im = imagf( v[ 1 ] );
// returns -2.0

v = it.next().value;
// returns [ 2, <Complex64> ]

re = realf( v[ 1 ] );
// returns 3.0

im = imagf( v[ 1 ] );
// returns -3.0

var bool = it.next().done;
// returns true

Complex64Array.prototype.get( [out,] i )

Returns an array element located at position (index) i.

var realf = require( '@stdlib/complex/realf' );
var imagf = require( '@stdlib/complex/imagf' );

var arr = new Complex64Array( 10 );

// Set the first element:
arr.set( [ 1.0, -1.0 ], 0 );

// Get the first element:
var z = arr.get( 0 );
// returns <Complex64>

var re = realf( z );
// returns 1.0

var im = imagf( z );
// returns -1.0

By default, the method returns a 64-bit complex number. To return real and imaginary components separately, provide an array-like object as the first argument.

var arr = new Complex64Array( 10 );

// Set the first element:
arr.set( [ 1.0, -1.0 ], 0 );

// Define an output array:
var out = [ 0.0, 0.0 ];

// Get the first element:
var z = arr.get( out, 0 );
// returns [ 1.0, -1.0 ]

var bool = ( out === z );
// returns true

If provided an out-of-bounds index, the method returns undefined.

var arr = new Complex64Array( 10 );

var z = arr.get( 100 );
// returns undefined

var out = [ 0.0, 0.0 ];

z = arr.get( out, 100 );
// returns undefined

var bool = ( out === z );
// returns false

Complex64Array.prototype.set( z[, i] )

Sets one or more array elements.

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

var arr = new Complex64Array( 10 );

// Get the first element:
var z = arr.get( [ 0.0, 0.0 ], 0 );
// returns [ 0.0, 0.0 ]

// Set the first element:
arr.set( new Complex64( 1.0, -1.0 ) );

// Get the first element:
z = arr.get( [ 0.0, 0.0 ], 0 );
// returns [ 1.0, -1.0 ]

By default, the method sets array elements starting at position (index) i = 0. To set elements starting elsewhere in the array, provide an index argument i.

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

var arr = new Complex64Array( 10 );

// Get the fifth element:
var z = arr.get( [ 0.0, 0.0 ], 4 );
// returns [ 0.0, 0.0 ]

// Set the fifth element:
arr.set( new Complex64( 1.0, -1.0 ), 4 );

// Get the fifth element:
z = arr.get( [ 0.0, 0.0 ], 4 );
// returns [ 1.0, -1.0 ]

In addition to providing a complex number, to set one or more array elements, provide an array-like object containing either complex numbers

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

var arr = new Complex64Array( 10 );

// Define an array of complex numbers:
var buf = [
    new Complex64( 1.0, -1.0 ),
    new Complex64( 2.0, -2.0 ),
    new Complex64( 3.0, -3.0 )
];

// Set the fifth, sixth, and seventh elements:
arr.set( buf, 4 );

// Get the sixth element:
var z = arr.get( [ 0.0, 0.0 ], 5 );
// returns [ 2.0, -2.0 ]

or interleaved real and imaginary components

var Float32Array = require( '@stdlib/array/float32' );

var arr = new Complex64Array( 10 );

// Define an interleaved array of real and imaginary components:
var buf = new Float32Array( [ 1.0, -1.0, 2.0, -2.0, 3.0, -3.0 ] );

// Set the fifth, sixth, and seventh elements:
arr.set( buf, 4 );

// Get the sixth element:
var z = arr.get( [ 0.0, 0.0 ], 5 );
// returns [ 2.0, -2.0 ]

A few notes:

  • If i is out-of-bounds, the method throws an error.
  • If a target array cannot accommodate all values (i.e., the length of source array plus i exceeds the target array length), the method throws an error.
  • If provided a typed array which shares an ArrayBuffer with the target array, the method will intelligently copy the source range to the destination range.

Notes

  • While a Complex64Array strives to maintain (but does not guarantee) consistency with typed arrays, significant deviations from ECMAScript-defined typed array behavior are as follows:

    • The constructor does not require the new operator.
    • The constructor and associated methods support a broader variety of input argument types in order to better accommodate complex number input.
    • Accessing array elements using bracket syntax (e.g., Z[i]) is not supported. Instead, one must use the .get() method which returns a value compatible with complex number output.
    • The set method has extended behavior in order to support complex numbers.

Examples

var Complex64 = require( '@stdlib/complex/float32' );
var Float32Array = require( '@stdlib/array/float32' );
var Complex64Array = require( '@stdlib/array/complex64' );

var arr;
var out;

// Create a complex array by specifying a length:
out = new Complex64Array( 3 );
console.log( out );

// Create a complex array from an array of complex numbers:
arr = [
    new Complex64( 1.0, -1.0 ),
    new Complex64( -3.14, 3.14 ),
    new Complex64( 0.5, 0.5 )
];
out = new Complex64Array( arr );
console.log( out );

// Create a complex array from an interleaved typed array:
arr = new Float32Array( [ 1.0, -1.0, -3.14, 3.14, 0.5, 0.5 ] );
out = new Complex64Array( arr );
console.log( out );

// Create a complex array from an array buffer:
arr = new Float32Array( [ 1.0, -1.0, -3.14, 3.14, 0.5, 0.5 ] );
out = new Complex64Array( arr.buffer );
console.log( out );

// Create a complex array from an array buffer view:
arr = new Float32Array( [ 1.0, -1.0, -3.14, 3.14, 0.5, 0.5 ] );
out = new Complex64Array( arr.buffer, 8, 2 );
console.log( out );

See Also