项目作者: stdlib-js

项目描述 :
Evaluate a polynomial.
高级语言: JavaScript
项目地址: git://github.com/stdlib-js/math-base-tools-evalpoly.git
创建时间: 2021-06-07T16:51:25Z
项目社区:https://github.com/stdlib-js/math-base-tools-evalpoly

开源协议:Apache License 2.0

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evalpoly

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

Evaluate a [polynomial][polynomial] using double-precision floating-point arithmetic.



A [polynomial][polynomial] in a variable x can be expressed as



math c_nx^n + c_{n-1}x^{n-1} + \ldots + c_1x^1 + c_0 = \sum_{i=0}^{n} c_ix^i





where c_n, c_{n-1}, ..., c_0 are constants.



## Installation

bash npm install @stdlib/math-base-tools-evalpoly

Alternatively,

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

The [branches.md][branches-url] 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

javascript var evalpoly = require( '@stdlib/math-base-tools-evalpoly' );

#### evalpoly( c, x )

Evaluates a [polynomial][polynomial] having coefficients c and degree n at a value x, where n = c.length-1.

javascript var v = evalpoly( [ 3.0, 2.0, 1.0 ], 10 ); // => 3*10^0 + 2*10^1 + 1*10^2 // returns 123.0

The coefficients should be ordered in ascending degree, thus matching summation notation.

#### evalpoly.factory( c )

Uses code generation to in-line coefficients and return a function for evaluating a [polynomial][polynomial] using double-precision floating-point arithmetic.

javascript var polyval = evalpoly.factory( [ 3.0, 2.0, 1.0 ] ); var v = polyval( 10.0 ); // => 3*10^0 + 2*10^1 + 1*10^2 // returns 123.0 v = polyval( 5.0 ); // => 3*5^0 + 2*5^1 + 1*5^2 // returns 38.0



## Notes

- For hot code paths in which coefficients are invariant, a compiled function will be more performant than evalpoly().
- While code generation can boost performance, its use may be problematic in browser contexts enforcing a strict [content security policy][mdn-csp] (CSP). If running in or targeting an environment with a CSP, avoid using code generation.



## Examples



javascript var discreteUniform = require( '@stdlib/random-array-discrete-uniform' ); var uniform = require( '@stdlib/random-base-uniform' ); var evalpoly = require( '@stdlib/math-base-tools-evalpoly' ); // Create an array of random coefficients: var coef = discreteUniform( 10, -100, 100 ); // Evaluate the polynomial at random values: var v; var i; for ( i = 0; i < 100; i++ ) { v = uniform( 0.0, 100.0 ); console.log( 'f(%d) = %d', v, evalpoly( coef, v ) ); } // Generate an `evalpoly` function: var polyval = evalpoly.factory( coef ); for ( i = 0; i < 100; i++ ) { v = uniform( -50.0, 50.0 ); console.log( 'f(%d) = %d', v, polyval( v ) ); }



*

## Notice

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].

#### Community

[![Chat][chat-image]][chat-url]

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## License

See [LICENSE][stdlib-license].


## Copyright

Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].