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Evaluate a Lucas polynomial.
A Lucas polynomial is expressed according to the following recurrence relation
Alternatively, if L(n,k) is the coefficient of x^k in L_n(x), then
We can extend Lucas polynomials to negative n using the identity
npm install @stdlib/math-base-tools-lucaspolyvar lucaspoly = require( '@stdlib/math-base-tools-lucaspoly' );Evaluates a Lucas polynomial at a value x.
var v = lucaspoly( 5, 2.0 ); // => 2^5 + 5*2^3 + 5*2
// returns 82.0Uses code generation to generate a function for evaluating a Lucas polynomial.
var polyval = lucaspoly.factory( 5 );
var v = polyval( 1.0 ); // => 1^5 + 5*1^3 + 5
// returns 11.0
v = polyval( 2.0 ); // => 2^5 + 5*2^3 + 5*2
// returns 82.0- For hot code paths, a compiled function will be more performant than
lucaspoly(). - 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 lucaspoly = require( '@stdlib/math-base-tools-lucaspoly' );
var i;
// Compute the negaLucas and Lucas numbers...
for ( i = -76; i < 77; i++ ) {
console.log( 'L_%d = %d', i, lucaspoly( i, 1.0 ) );
}-
@stdlib/math-base/tools/evalpoly: evaluate a polynomial using double-precision floating-point arithmetic. -
@stdlib/math-base/tools/fibpoly: evaluate a Fibonacci polynomial.
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