@stdlib/math-strided-special-ahavercos-by
TypeScript icon, indicating that this package has built-in type declarations

0.2.2 • Public • Published
About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

ahavercosBy

NPM version Build Status Coverage Status

Compute the inverse half-value versed cosine of each element retrieved from an input strided array via a callback function.

Installation

npm install @stdlib/math-strided-special-ahavercos-by

Usage

var ahavercosBy = require( '@stdlib/math-strided-special-ahavercos-by' );

ahavercosBy( N, x, strideX, y, strideY, clbk[, thisArg] )

Computes the inverse half-value versed cosine of each element retrieved from an input strided array x via a callback function and assigns each result to an element in an output strided array y.

function accessor( v ) {
    return v;
}

var x = [ 0.0, 0.5, 1.0, 0.25, 0.75 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

ahavercosBy( x.length, x, 1, y, 1, accessor );
// y => [ ~3.142, ~1.571, 0.0, ~2.094, ~1.047 ]

The function accepts the following arguments:

  • N: number of indexed elements.
  • x: input Array, typed array, or an array-like object (excluding strings and functions).
  • strideX: index increment for x.
  • y: output Array, typed array, or an array-like object (excluding strings and functions).
  • strideY: index increment for y.
  • clbk: callback function.
  • thisArg: execution context (optional).

The invoked callback function is provided six arguments:

  • value: input array element.
  • idx: iteration index (zero-based).
  • xi: input array strided index (offsetX + idx*strideX).
  • yi: output array strided index (offsetY + idx*strideY).
  • x: input array/collection.
  • y: output array/collection.

To set the callback execution context, provide a thisArg.

function accessor( v ) {
    this.count += 1;
    return v;
}

var context = {
    'count': 0
};

var x = [ 0.0, 0.5, 1.0, 0.25, 0.75 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

ahavercosBy( x.length, x, 1, y, 1, accessor, context );
// y => [ ~3.142, ~1.571, 0.0, ~2.094, ~1.047 ]

var cnt = context.count;
// returns 5

The N and stride parameters determine which elements in x and y are accessed at runtime. For example, to index every other value in x and to index the first N elements of y in reverse order,

function accessor( v ) {
    return v;
}

var x = [ 0.0, 0.5, 1.0, 0.25, 0.75, 0.68 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];

ahavercosBy( 3, x, 2, y, -1, accessor );
// y => [ ~1.047, 0.0, ~3.142, 0.0, 0.0, 0.0 ]

Note that indexing is relative to the first index. To introduce an offset, use typed array views.

var Float64Array = require( '@stdlib/array-float64' );

function accessor( v ) {
    return v;
}

// Initial arrays...
var x0 = new Float64Array( [ 0.0, 0.5, 1.0, 0.25, 0.75, 0.68 ] );
var y0 = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] );

// Create offset views...
var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*3 ); // start at 4th element

ahavercosBy( 3, x1, -2, y1, 1, accessor );
// y0 => <Float64Array>[ 0.0, 0.0, 0.0, ~1.203, ~2.094, ~1.571 ]

ahavercosBy.ndarray( N, x, strideX, offsetX, y, strideY, offsetY, clbk[, thisArg] )

Computes the inverse half-value versed cosine of each element retrieved from an input strided array x via a callback function and assigns each result to an element in an output strided array y using alternative indexing semantics.

function accessor( v ) {
    return v;
}

var x = [ 0.0, 0.5, 1.0, 0.25, 0.75 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];

ahavercosBy.ndarray( x.length, x, 1, 0, y, 1, 0, accessor );
// y => [ ~3.142, ~1.571, 0.0, ~2.094, ~1.047 ]

The function accepts the following additional arguments:

  • offsetX: starting index for x.
  • offsetY: starting index for y.

While typed array views mandate a view offset based on the underlying buffer, the offsetX and offsetY parameters support indexing semantics based on starting indices. For example, to index every other value in x starting from the second value and to index the last N elements in y,

function accessor( v ) {
    return v;
}

var x = [ 0.0, 0.5, 1.0, 0.25, 0.75, 0.68 ];
var y = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];

ahavercosBy.ndarray( 3, x, 2, 1, y, -1, y.length-1, accessor );
// y => [ 0.0, 0.0, 0.0, ~1.203, ~2.094, ~1.571 ]

Notes

  • If a provided callback function does not return any value (or equivalently, explicitly returns undefined), the value is ignored.

    function accessor() {
        // No-op...
    }
    
    var x = [ 0.0, 0.5, 1.0, 0.25, 0.75 ];
    var y = [ 0.0, 0.0, 0.0, 0.0, 0.0 ];
    
    ahavercosBy( x.length, x, 1, y, 1, accessor );
    // y => [ 0.0, 0.0, 0.0, 0.0, 0.0 ]

Examples

var uniform = require( '@stdlib/random-base-uniform' ).factory;
var filledarray = require( '@stdlib/array-filled' );
var filledarrayBy = require( '@stdlib/array-filled-by' );
var ahavercosBy = require( '@stdlib/math-strided-special-ahavercos-by' );

function accessor( v, i ) {
    if ( (i%3) === 0 ) {
        // Simulate a "missing" value...
        return;
    }
    return v;
}

var x = filledarrayBy( 10, 'generic', uniform( 0.0, 1.0 ) );
console.log( x );

var y = filledarray( null, 10, 'generic' );
console.log( y );

ahavercosBy.ndarray( x.length, x, 1, 0, y, -1, y.length-1, accessor );
console.log( y );

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.

Community

Chat


License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.

Package Sidebar

Install

npm i @stdlib/math-strided-special-ahavercos-by

Homepage

stdlib.io

Weekly Downloads

6

Version

0.2.2

License

Apache-2.0

Unpacked Size

43.5 kB

Total Files

12

Last publish

Collaborators

  • stdlib-bot
  • kgryte
  • planeshifter
  • rreusser