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* @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.
*/
/* eslint-disable max-depth */
'use strict';
// MODULES //
var loopOrder = require( '@stdlib/ndarray/base/unary-loop-interchange-order' );
var blockSize = require( '@stdlib/ndarray/base/unary-tiling-block-size' );
var take = require( '@stdlib/array/base/take-indexed' );
var reverse = require( '@stdlib/array/base/reverse' );
// MAIN //
/**
* Applies a callback function to elements in a three-dimensional input ndarray and assigns results to elements in an equivalently shaped output ndarray via loop blocking.
*
* @private
* @param {Object} x - object containing ndarray meta data
* @param {ndarrayLike} x.ref - reference to the original ndarray-like object
* @param {string} x.dtype - data type
* @param {Collection} x.data - data buffer
* @param {NonNegativeIntegerArray} x.shape - dimensions
* @param {IntegerArray} x.strides - stride lengths
* @param {NonNegativeInteger} x.offset - index offset
* @param {string} x.order - specifies whether `x` is row-major (C-style) or column-major (Fortran-style)
* @param {Object} y - object containing output ndarray meta data
* @param {string} y.dtype - data type
* @param {Collection} y.data - data buffer
* @param {NonNegativeIntegerArray} y.shape - dimensions
* @param {IntegerArray} y.strides - stride lengths
* @param {NonNegativeInteger} y.offset - index offset
* @param {string} y.order - specifies whether `y` is row-major (C-style) or column-major (Fortran-style)
* @param {Callback} fcn - callback function
* @param {*} thisArg - callback execution context
* @returns {void}
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* function scale( x ) {
* return x * 10.0;
* }
*
* // Create data buffers:
* var xbuf = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0 ] );
* var ybuf = new Float64Array( 6 );
*
* // Define the shape of the input and output arrays:
* var shape = [ 3, 1, 2 ];
*
* // Define the array strides:
* var sx = [ 4, 4, 1 ];
* var sy = [ 2, 2, 1 ];
*
* // Define the index offsets:
* var ox = 1;
* var oy = 0;
*
* // Create the input and output ndarray-like objects:
* var x = {
* 'ref': null,
* 'dtype': 'float64',
* 'data': xbuf,
* 'shape': shape,
* 'strides': sx,
* 'offset': ox,
* 'order': 'row-major'
* };
* var y = {
* 'dtype': 'float64',
* 'data': ybuf,
* 'shape': shape,
* 'strides': sy,
* 'offset': oy,
* 'order': 'row-major'
* };
*
* // Apply the map function:
* blockedmap3d( x, y, scale, {} );
*
* console.log( y.data );
* // => <Float64Array>[ 20.0, 30.0, 60.0, 70.0, 100.0, 110.0 ]
*/
function blockedmap3d( x, y, fcn, thisArg ) {
var bsize;
var xbuf;
var ybuf;
var dx0;
var dx1;
var dx2;
var dy0;
var dy1;
var dy2;
var ox1;
var ox2;
var oy1;
var oy2;
var idx;
var sh;
var s0;
var s1;
var s2;
var sx;
var sy;
var ox;
var oy;
var ix;
var iy;
var i0;
var i1;
var i2;
var j0;
var j1;
var j2;
var o;
// Note on variable naming convention: s#, dx#, dy#, i#, j# where # corresponds to the loop number, with `0` being the innermost loop...
// Resolve the loop interchange order:
o = loopOrder( x.shape, x.strides, y.strides );
sh = o.sh;
sx = o.sx;
sy = o.sy;
idx = reverse( o.idx );
// Determine the block size:
bsize = blockSize( x.dtype, y.dtype );
// Cache the indices of the first indexed elements in the respective ndarrays...
ox = x.offset;
oy = y.offset;
// Cache references to the input and output ndarray buffers...
xbuf = x.data;
ybuf = y.data;
// Cache offset increments for the innermost loop...
dx0 = sx[0];
dy0 = sy[0];
// Iterate over blocks...
for ( j2 = sh[2]; j2 > 0; ) {
if ( j2 < bsize ) {
s2 = j2;
j2 = 0;
} else {
s2 = bsize;
j2 -= bsize;
}
ox2 = ox + ( j2*sx[2] );
oy2 = oy + ( j2*sy[2] );
for ( j1 = sh[1]; j1 > 0; ) {
if ( j1 < bsize ) {
s1 = j1;
j1 = 0;
} else {
s1 = bsize;
j1 -= bsize;
}
dx2 = sx[2] - ( s1*sx[1] );
dy2 = sy[2] - ( s1*sy[1] );
ox1 = ox2 + ( j1*sx[1] );
oy1 = oy2 + ( j1*sy[1] );
for ( j0 = sh[0]; j0 > 0; ) {
if ( j0 < bsize ) {
s0 = j0;
j0 = 0;
} else {
s0 = bsize;
j0 -= bsize;
}
// Compute index offsets for the first input and output ndarray elements in the current block...
ix = ox1 + ( j0*sx[0] );
iy = oy1 + ( j0*sy[0] );
// Compute loop offset increments...
dx1 = sx[1] - ( s0*sx[0] );
dy1 = sy[1] - ( s0*sy[0] );
// Iterate over the ndarray dimensions...
for ( i2 = 0; i2 < s2; i2++ ) {
for ( i1 = 0; i1 < s1; i1++ ) {
for ( i0 = 0; i0 < s0; i0++ ) {
ybuf[ iy ] = fcn.call( thisArg, xbuf[ ix ], take( [ i2, i1, i0 ], idx ), x.ref ); // eslint-disable-line max-len
ix += dx0;
iy += dy0;
}
ix += dx1;
iy += dy1;
}
ix += dx2;
iy += dy2;
}
}
}
}
}
// EXPORTS //
module.exports = blockedmap3d;
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