191 lines
4.6 KiB
Markdown
191 lines
4.6 KiB
Markdown
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<!--
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# sub2ind
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> Convert subscripts to a linear index.
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
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<section class="intro">
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</section>
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<!-- /.intro -->
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<!-- Package usage documentation. -->
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<section class="usage">
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## Usage
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```javascript
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var sub2ind = require( '@stdlib/ndarray/sub2ind' );
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```
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#### sub2ind( shape, ...subscripts\[, options] )
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Converts subscripts to a linear index.
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```javascript
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var shape = [ 2, 2 ];
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var idx = sub2ind( shape, 1, 0 );
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// returns 2
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```
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The function supports the following `options`:
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- `mode`: specifies how to handle subscripts which exceed array dimensions. The following modes are supported:
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- `throw`: specifies that the function should throw an error when a subscript exceeds array dimensions.
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- `wrap`: specifies that the function should wrap around subscripts exceeding array dimensions using modulo arithmetic.
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- `clamp`: specifies that the function should set subscripts exceeding array dimensions to either `0` (minimum index) or the maximum index along a particular dimension.
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If provided a `mode` array, each array element corresponds to a dimension. If provided fewer modes than dimensions, the function reuses modes using modulo arithmetic. Default: `[ 'throw' ]`.
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- `order`: specifies whether an array is `row-major` (C-style) or `column-major` (Fortran-style). Default: `'row-major'`.
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By default, the function assumes a row-major array. To return a linear index for a column-major array, set the `order` option.
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```javascript
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var shape = [ 2, 2 ];
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var opts = {};
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opts.order = 'column-major';
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var idx = sub2ind( shape, 1, 0, opts );
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// returns 1
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```
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By default, the function throws an `error` if provided subscripts which exceed array dimensions. To specify alternative behavior, set the `mode` option.
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```javascript
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var shape = [ 2, 2 ];
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var opts = {};
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opts.mode = 'wrap';
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var idx = sub2ind( shape, -2, 0, opts );
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// returns 0
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opts.mode = 'clamp';
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idx = sub2ind( shape, 10, 10, opts );
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// returns 3
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```
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To specify separate modes for each dimension, provide a `mode` array.
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```javascript
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var shape = [ 2, 2, 2 ];
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var opts = {
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'mode': [
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'wrap',
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'clamp'
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]
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};
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var idx = sub2ind( shape, -2, 10, -1, opts );
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// returns 3
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```
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</section>
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<!-- /.usage -->
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<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="notes">
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</section>
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<!-- /.notes -->
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<!-- Package usage examples. -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var numel = require( '@stdlib/ndarray/base/numel' );
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var sub2ind = require( '@stdlib/ndarray/sub2ind' );
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var shape = [ 3, 3, 3 ];
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var len = numel( shape );
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var arr = [];
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var i;
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for ( i = 0; i < len; i++ ) {
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arr.push( i );
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}
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var opts = {
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'order': 'column-major'
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};
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console.log( '' );
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console.log( 'Dimensions: %s.', shape.join( 'x' ) );
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console.log( 'View:' );
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console.log( '' );
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var slice;
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var idx;
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var row;
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var j;
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var k;
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for ( k = 0; k < shape[ 2 ]; k++ ) {
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slice = 'A[:,:,'+k+'] = ';
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console.log( slice );
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for ( i = 0; i < shape[ 0 ]; i++ ) {
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row = ' ';
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for ( j = 0; j < shape[ 1 ]; j++ ) {
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idx = sub2ind( shape, i, j, k, opts );
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row += arr[ idx ];
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if ( j < shape[ 1 ]-1 ) {
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row += ', ';
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}
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}
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console.log( row );
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}
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console.log( '' );
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}
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```
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</section>
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<!-- /.examples -->
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<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="references">
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</section>
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<!-- /.references -->
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<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="links">
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</section>
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<!-- /.links -->
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