assign.js (3530B)
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 trunc = require( '@stdlib/math/base/special/trunc' ); 24 25 26 // MAIN // 27 28 /** 29 * Converts a linear index to an array of subscripts. 30 * 31 * @param {NonNegativeIntegerArray} shape - array shape 32 * @param {IntegerArray} strides - stride array 33 * @param {NonNegativeInteger} offset - location of the first indexed value **based** on the stride array 34 * @param {string} order - specifies whether an array is row-major (C-style) or column-major (Fortran-style) 35 * @param {integer} idx - linear index 36 * @param {string} mode - specifies how to handle a linear index which exceeds array dimensions 37 * @param {(Array|TypedArray|Object)} out - destination object 38 * @throws {RangeError} linear index must not exceed array dimensions 39 * @returns {(Array|TypedArray|Object)} subscripts 40 * 41 * @example 42 * var shape = [ 3, 3, 3 ]; 43 * var strides = [ 9, 6, 1 ]; 44 * var offset = 0; 45 * var order = 'row-major'; 46 * 47 * var s = [ 0, 0, 0 ]; 48 * var out = ind2sub( shape, strides, offset, order, 17, 'throw', s ); 49 * // returns [ 1, 2, 2 ] 50 * 51 * var bool = ( out === s ); 52 * // returns true 53 */ 54 function ind2sub( shape, strides, offset, order, idx, mode, out ) { 55 var ndims; 56 var len; 57 var k; 58 var s; 59 var i; 60 61 ndims = shape.length; 62 len = 1; 63 for ( i = 0; i < ndims; i++ ) { 64 len *= shape[ i ]; 65 } 66 if ( mode === 'clamp' ) { 67 if ( idx < 0 ) { 68 idx = 0; 69 } else if ( idx >= len ) { 70 idx = len - 1; 71 } 72 } else if ( mode === 'wrap' ) { 73 if ( idx < 0 ) { 74 idx += len; // slight optimization to avoid modulo arithmetic when |idx| <= len 75 if ( idx < 0 ) { 76 idx %= len; 77 if ( idx !== 0 ) { 78 idx += len; 79 } 80 } 81 } else if ( idx >= len ) { 82 idx -= len; // slight optimization to avoid modulo arithmetic when len < idx <= 2*len 83 if ( idx >= len ) { 84 idx %= len; 85 } 86 } 87 } else if ( idx < 0 || idx >= len ) { 88 throw new RangeError( 'invalid argument. Linear index must not exceed array dimensions. Number of array elements: ' + len + '. Value: `' + idx + '`.' ); 89 } 90 if ( offset === 0 ) { 91 if ( order === 'column-major' ) { 92 for ( i = 0; i < ndims; i++ ) { 93 s = idx % shape[ i ]; 94 idx -= s; 95 idx /= shape[ i ]; 96 out[ i ] = s; 97 } 98 return out; 99 } 100 // Case: row-major 101 for ( i = ndims-1; i >= 0; i-- ) { 102 s = idx % shape[ i ]; 103 idx -= s; 104 idx /= shape[ i ]; 105 out[ i ] = s; 106 } 107 return out; 108 } 109 if ( order === 'column-major' ) { 110 for ( i = ndims-1; i >= 0; i-- ) { 111 s = strides[ i ]; 112 if ( s < 0 ) { 113 k = trunc( idx/s ); 114 idx -= k * s; 115 out[ i ] = shape[ i ] - 1 + k; 116 } else { 117 k = trunc( idx/s ); 118 idx -= k * s; 119 out[ i ] = k; 120 } 121 } 122 return out; 123 } 124 // Case: row-major 125 for ( i = 0; i < ndims; i++ ) { 126 s = strides[ i ]; 127 if ( s < 0 ) { 128 k = trunc( idx/s ); 129 idx -= k * s; 130 out[ i ] = shape[ i ] - 1 + k; 131 } else { 132 k = trunc( idx/s ); 133 idx -= k * s; 134 out[ i ] = k; 135 } 136 } 137 return out; 138 } 139 140 141 // EXPORTS // 142 143 module.exports = ind2sub;