main.js (3333B)
1 /** 2 * @license Apache-2.0 3 * 4 * Copyright (c) 2018 The Stdlib Authors. 5 * 6 * Licensed under the Apache License, Version 2.0 (the "License"); 7 * you may not use this file except in compliance with the License. 8 * You may obtain a copy of the License at 9 * 10 * http://www.apache.org/licenses/LICENSE-2.0 11 * 12 * Unless required by applicable law or agreed to in writing, software 13 * distributed under the License is distributed on an "AS IS" BASIS, 14 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 15 * See the License for the specific language governing permissions and 16 * limitations under the License. 17 */ 18 19 'use strict'; 20 21 // MODULES // 22 23 var join = require( 'path' ).join; 24 var readFile = require( '@stdlib/fs/read-file' ).sync; 25 var replace = require( '@stdlib/string/replace' ); 26 var isInteger = require( '@stdlib/assert/is-integer' ).isPrimitive; 27 28 29 // VARIABLES // 30 31 var opts = { 32 'encoding': 'utf8' 33 }; 34 var dir = join( __dirname, 'templates' ); 35 36 // Templates: 37 var SINGLE_COEFFICIENT_TEMPLATE = readFile( join( dir, 'single_coefficient.js.txt' ), opts ); // eslint-disable-line id-length 38 var EVALPOLY_TEMPLATE = readFile( join( dir, 'evalpoly.js.txt' ), opts ); 39 var EMPTY_TEMPLATE = readFile( join( dir, 'empty.js.txt' ), opts ); 40 var LOOP_TEMPLATE = readFile( join( dir, 'loop.js.txt' ), opts ); 41 var MAX_CHARS = 68; // max-len (80) - chars already in line ('tab': 4, 'return ': 7, ';': 1) 42 43 44 // MAIN // 45 46 /** 47 * Compiles a module string which exports a function for evaluating a polynomial. 48 * 49 * @param {NumericArray} c - polynomial coefficients sorted in ascending degree 50 * @returns {string} module string exporting a function for evaluating a polynomial 51 * 52 * @example 53 * var str = compile( [ 3.0, 2.0, 1.0 ] ); 54 * // returns <string> 55 */ 56 function compile( c ) { 57 var horner; 58 var str; 59 var n; 60 var m; 61 var i; 62 63 n = c.length; 64 65 // If no coefficients, the function always returns 0... 66 if ( n === 0 ) { 67 return EMPTY_TEMPLATE; 68 } 69 // If only one coefficient, the function always returns that coefficient... 70 if ( n === 1 ) { 71 str = c[ 0 ].toString(); 72 if ( isInteger( c[ 0 ] ) ) { 73 str += '.0'; 74 } 75 return replace( SINGLE_COEFFICIENT_TEMPLATE, '{{coefficient}}', str ); 76 } 77 m = n - 1; 78 79 // Avoid exceeding the maximum stack size on V8 by using a simple loop :(. Note that the choice of `500` was empirically determined... 80 if ( n > 500 ) { 81 str = ''; 82 for ( i = 0; i < n; i++ ) { 83 str += '\t' + c[ i ].toString(); 84 if ( isInteger( c[ i ] ) ) { 85 str += '.0'; 86 } 87 if ( i < m ) { 88 str += ',\n'; 89 } 90 } 91 return replace( LOOP_TEMPLATE, '{{coefficients}}', str ); 92 } 93 // If more than one coefficient, apply Horner's method... 94 horner = c[ 0 ].toString(); 95 if ( isInteger( c[ 0 ] ) ) { 96 horner += '.0'; 97 } 98 for ( i = 1; i < n; i++ ) { 99 horner += ' + (x * '; 100 if ( i < m ) { 101 horner += '('; 102 } 103 horner += c[ i ].toString(); 104 if ( isInteger( c[ i ] ) ) { 105 horner += '.0'; 106 } 107 } 108 // Close all the parentheses... 109 for ( i = 0; i < (2*(n-1))-1; i++ ) { 110 horner += ')'; 111 } 112 str = c[ 0 ].toString(); 113 if ( isInteger( c[ 0 ] ) ) { 114 str += '.0'; 115 } 116 str = replace( EVALPOLY_TEMPLATE, '{{coefficient}}', str ); 117 str = replace( str, '{{horner}}', horner ); 118 return replace( str, '{{eslint}}', ( horner.length > MAX_CHARS ) ? ' // eslint-disable-line max-len' : '' ); 119 } 120 121 122 // EXPORTS // 123 124 module.exports = compile;