144 lines
3.4 KiB
JavaScript
144 lines
3.4 KiB
JavaScript
|
/**
|
||
|
* @license Apache-2.0
|
||
|
*
|
||
|
* Copyright (c) 2018 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';
|
||
|
|
||
|
// MODULES //
|
||
|
|
||
|
var trunc = require( '@stdlib/math/base/special/trunc' );
|
||
|
|
||
|
|
||
|
// MAIN //
|
||
|
|
||
|
/**
|
||
|
* Converts a linear index to an array of subscripts.
|
||
|
*
|
||
|
* @param {NonNegativeIntegerArray} shape - array shape
|
||
|
* @param {IntegerArray} strides - stride array
|
||
|
* @param {NonNegativeInteger} offset - location of the first indexed value **based** on the stride array
|
||
|
* @param {string} order - specifies whether an array is row-major (C-style) or column-major (Fortran-style)
|
||
|
* @param {integer} idx - linear index
|
||
|
* @param {string} mode - specifies how to handle a linear index which exceeds array dimensions
|
||
|
* @param {(Array|TypedArray|Object)} out - destination object
|
||
|
* @throws {RangeError} linear index must not exceed array dimensions
|
||
|
* @returns {(Array|TypedArray|Object)} subscripts
|
||
|
*
|
||
|
* @example
|
||
|
* var shape = [ 3, 3, 3 ];
|
||
|
* var strides = [ 9, 6, 1 ];
|
||
|
* var offset = 0;
|
||
|
* var order = 'row-major';
|
||
|
*
|
||
|
* var s = [ 0, 0, 0 ];
|
||
|
* var out = ind2sub( shape, strides, offset, order, 17, 'throw', s );
|
||
|
* // returns [ 1, 2, 2 ]
|
||
|
*
|
||
|
* var bool = ( out === s );
|
||
|
* // returns true
|
||
|
*/
|
||
|
function ind2sub( shape, strides, offset, order, idx, mode, out ) {
|
||
|
var ndims;
|
||
|
var len;
|
||
|
var k;
|
||
|
var s;
|
||
|
var i;
|
||
|
|
||
|
ndims = shape.length;
|
||
|
len = 1;
|
||
|
for ( i = 0; i < ndims; i++ ) {
|
||
|
len *= shape[ i ];
|
||
|
}
|
||
|
if ( mode === 'clamp' ) {
|
||
|
if ( idx < 0 ) {
|
||
|
idx = 0;
|
||
|
} else if ( idx >= len ) {
|
||
|
idx = len - 1;
|
||
|
}
|
||
|
} else if ( mode === 'wrap' ) {
|
||
|
if ( idx < 0 ) {
|
||
|
idx += len; // slight optimization to avoid modulo arithmetic when |idx| <= len
|
||
|
if ( idx < 0 ) {
|
||
|
idx %= len;
|
||
|
if ( idx !== 0 ) {
|
||
|
idx += len;
|
||
|
}
|
||
|
}
|
||
|
} else if ( idx >= len ) {
|
||
|
idx -= len; // slight optimization to avoid modulo arithmetic when len < idx <= 2*len
|
||
|
if ( idx >= len ) {
|
||
|
idx %= len;
|
||
|
}
|
||
|
}
|
||
|
} else if ( idx < 0 || idx >= len ) {
|
||
|
throw new RangeError( 'invalid argument. Linear index must not exceed array dimensions. Number of array elements: ' + len + '. Value: `' + idx + '`.' );
|
||
|
}
|
||
|
if ( offset === 0 ) {
|
||
|
if ( order === 'column-major' ) {
|
||
|
for ( i = 0; i < ndims; i++ ) {
|
||
|
s = idx % shape[ i ];
|
||
|
idx -= s;
|
||
|
idx /= shape[ i ];
|
||
|
out[ i ] = s;
|
||
|
}
|
||
|
return out;
|
||
|
}
|
||
|
// Case: row-major
|
||
|
for ( i = ndims-1; i >= 0; i-- ) {
|
||
|
s = idx % shape[ i ];
|
||
|
idx -= s;
|
||
|
idx /= shape[ i ];
|
||
|
out[ i ] = s;
|
||
|
}
|
||
|
return out;
|
||
|
}
|
||
|
if ( order === 'column-major' ) {
|
||
|
for ( i = ndims-1; i >= 0; i-- ) {
|
||
|
s = strides[ i ];
|
||
|
if ( s < 0 ) {
|
||
|
k = trunc( idx/s );
|
||
|
idx -= k * s;
|
||
|
out[ i ] = shape[ i ] - 1 + k;
|
||
|
} else {
|
||
|
k = trunc( idx/s );
|
||
|
idx -= k * s;
|
||
|
out[ i ] = k;
|
||
|
}
|
||
|
}
|
||
|
return out;
|
||
|
}
|
||
|
// Case: row-major
|
||
|
for ( i = 0; i < ndims; i++ ) {
|
||
|
s = strides[ i ];
|
||
|
if ( s < 0 ) {
|
||
|
k = trunc( idx/s );
|
||
|
idx -= k * s;
|
||
|
out[ i ] = shape[ i ] - 1 + k;
|
||
|
} else {
|
||
|
k = trunc( idx/s );
|
||
|
idx -= k * s;
|
||
|
out[ i ] = k;
|
||
|
}
|
||
|
}
|
||
|
return out;
|
||
|
}
|
||
|
|
||
|
|
||
|
// EXPORTS //
|
||
|
|
||
|
module.exports = ind2sub;
|