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.
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Evaluate a Fibonacci polynomial.
A Fibonacci polynomial is expressed according to the following recurrence relation
Alternatively, if F(n,k) is the coefficient of x^k in F_n(x), then
where
We can extend Fibonacci polynomials to negative n using the identity
npm install @stdlib/math-base-tools-fibpolyvar fibpoly = require( '@stdlib/math-base-tools-fibpoly' );Evaluates a Fibonacci polynomial at a value x.
var v = fibpoly( 5, 2.0 ); // => 2^4 + 3*2^2 + 1
// returns 29.0Uses code generation to generate a function for evaluating a Fibonacci polynomial.
var polyval = fibpoly.factory( 5 );
var v = polyval( 1.0 ); // => 1^4 + 3*1^2 + 1
// returns 5.0
v = polyval( 2.0 ); // => 2^4 + 3*2^2 + 1
// returns 29.0- For hot code paths, a compiled function will be more performant than
fibpoly(). - While code generation can boost performance, its use may be problematic in browser contexts enforcing a strict content security policy (CSP). If running in or targeting an environment with a CSP, avoid using code generation.
var fibpoly = require( '@stdlib/math-base-tools-fibpoly' );
var i;
// Compute the negaFibonacci and Fibonacci numbers...
for ( i = -77; i < 78; i++ ) {
console.log( 'F_%d = %d', i, fibpoly( i, 1.0 ) );
}-
@stdlib/math-base/tools/evalpoly: evaluate a polynomial using double-precision floating-point arithmetic. -
@stdlib/math-base/tools/lucaspoly: evaluate a Lucas polynomial.
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.
See LICENSE.
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