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* @license Apache-2.0
*
* Copyright (c) 2025 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 loopOrder = require( '@stdlib/ndarray/base/nullary-loop-interchange-order' );
var blockSize = require( '@stdlib/ndarray/base/nullary-tiling-block-size' );
// MAIN //
/**
* Performs a reduction over elements in a two-dimensional input ndarray via loop blocking.
*
* @private
* @param {Object} x - object containing input ndarray meta data
* @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 {Array<Function>} x.accessors - data buffer accessors
* @param {*} initial - initial value
* @param {Callback} clbk - callback function
* @returns {*} result
*
* @example
* var Complex64Array = require( '@stdlib/array/complex64' );
* var Complex64 = require( '@stdlib/complex/float32/ctor' );
* var realf = require( '@stdlib/complex/float32/real' );
* var imagf = require( '@stdlib/complex/float32/imag' );
*
* function add( acc, z ) {
* return new Complex64( realf(acc)+realf(z), imagf(acc)+imagf(z) );
* }
*
* // Create a data buffer:
* var xbuf = new Complex64Array( [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 ] );
*
* // Define the shape of the input array:
* var shape = [ 2, 2 ];
*
* // Define the array strides:
* var sx = [ 2, 1 ];
*
* // Define the index offset:
* var ox = 0;
*
* // Define getters and setters:
* function getter( buf, idx ) {
* return buf.get( idx );
* }
*
* function setter( buf, idx, value ) {
* buf.set( value, idx );
* }
*
* // Create the input ndarray-like object:
* var x = {
* 'dtype': 'complex64',
* 'data': xbuf,
* 'shape': shape,
* 'strides': sx,
* 'offset': ox,
* 'order': 'row-major',
* 'accessors': [ getter, setter ]
* };
*
* // Compute the sum:
* var v = blockedaccumulate2d( x, new Complex64( 0.0, 0.0 ), add );
* // returns <Complex64>
*
* var re = realf( v );
* // returns 16.0
*
* var im = imagf( v );
* // returns 20.0
*/
function blockedaccumulate2d( x, initial, clbk ) {
var bsize;
var xbuf;
var get;
var dx0;
var dx1;
var ox1;
var acc;
var sh;
var s0;
var s1;
var sx;
var ox;
var ix;
var i0;
var i1;
var j0;
var j1;
var o;
// Note on variable naming convention: s#, dx#, 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 );
sh = o.sh;
sx = o.sx;
// Determine the block size:
bsize = blockSize( x.dtype );
// Cache the index of the first indexed element:
ox = x.offset;
// Cache a reference to the input ndarray buffer:
xbuf = x.data;
// Cache the offset increment for the innermost loop:
dx0 = sx[0];
// Cache the accessor:
get = x.accessors[0];
// Initialize the accumulator:
acc = initial;
// Iterate over blocks...
for ( j1 = sh[1]; j1 > 0; ) {
if ( j1 < bsize ) {
s1 = j1;
j1 = 0;
} else {
s1 = bsize;
j1 -= bsize;
}
ox1 = ox + ( j1*sx[1] );
for ( j0 = sh[0]; j0 > 0; ) {
if ( j0 < bsize ) {
s0 = j0;
j0 = 0;
} else {
s0 = bsize;
j0 -= bsize;
}
// Compute the index offset for the first input ndarray element in the current block:
ix = ox1 + ( j0*sx[0] );
// Compute the loop offset increment:
dx1 = sx[1] - ( s0*sx[0] );
// Iterate over the ndarray dimensions...
for ( i1 = 0; i1 < s1; i1++ ) {
for ( i0 = 0; i0 < s0; i0++ ) {
acc = clbk( acc, get( xbuf, ix ) ); // eslint-disable-line node/callback-return
ix += dx0;
}
ix += dx1;
}
}
}
return acc;
}
// EXPORTS //
module.exports = blockedaccumulate2d;
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