@stdlib/math-base-tools-evalrationalf
Version:
Evaluate a rational function using single-precision floating-point arithmetic.
70 lines (59 loc) • 2.11 kB
JavaScript
/**
* @license Apache-2.0
*
* Copyright (c) 2024 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
/**
* Evaluate a rational function using single-precision floating-point arithmetic.
*
* @module @stdlib/math-base-tools-evalrationalf
*
* @example
* var Float32Array = require( '@stdlib/array-float32' );
* var evalrationalf = require( '@stdlib/math-base-tools-evalrationalf' );
*
* // 2x^3 + 4x^2 - 5x^1 - 6x^0 => degree 4
* var P = new Float32Array( [ -6.0, -5.0, 4.0, 2.0 ] );
*
* // 0.5x^1 + 3x^0 => degree 2
* var Q = new Float32Array( [ 3.0, 0.5, 0.0, 0.0 ] ); // zero-padded
*
* var v = evalrationalf( P, Q, 6.0 ); // => ( -6*6^0 - 5*6^1 + 4*6^2 + 2*6^3 ) / ( 3*6^0 + 0.5*6^1 + 0*6^2 + 0*6^3 ) = (-6-30+144+432)/(3+3)
* // returns ~90.0
*
* @example
* var Float32Array = require( '@stdlib/array-float32' );
* var evalrationalf = require( '@stdlib/math-base-tools-evalrationalf' );
*
* var P = new Float32Array( [ 20.0, 8.0, 3.0 ] );
* var Q = new Float32Array( [ 10.0, 9.0, 1.0 ] );
*
* var rational = evalrationalf.factory( P, Q );
*
* var v = rational( 10.0 ); // => (20*10^0 + 8*10^1 + 3*10^2) / (10*10^0 + 9*10^1 + 1*10^2) = (20+80+300)/(10+90+100)
* // returns 2.0
*
* v = rational( 2.0 ); // => (20*2^0 + 8*2^1 + 3*2^2) / (10*2^0 + 9*2^1 + 1*2^2) = (20+16+12)/(10+18+4)
* // returns 1.5
*/
// MODULES //
var setReadOnly = require( '@stdlib/utils-define-nonenumerable-read-only-property' );
var main = require( './main.js' );
var factory = require( './factory.js' );
// MAIN //
setReadOnly( main, 'factory', factory );
// EXPORTS //
module.exports = main;