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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 isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major' );
// MAIN //
/**
* Performs the rank 1 operation `A = α*x*y^T + A`, where `α` is a scalar, `x` is an `M` element vector, `y` is an `N` element vector, and `A` is an `M` by `N` matrix.
*
* @private
* @param {NonNegativeInteger} M - number of rows in the matrix `A`
* @param {NonNegativeInteger} N - number of columns in the matrix `A`
* @param {number} alpha - scalar constant
* @param {Object} x - first input vector object
* @param {Collection} x.data - first input vector data
* @param {Array<Function>} x.accessors - array element accessors
* @param {integer} strideX - `x` stride length
* @param {NonNegativeInteger} offsetX - starting index for `x`
* @param {Object} y - second input vector object
* @param {Collection} y.data - second input vector data
* @param {Array<Function>} y.accessors - array element accessors
* @param {integer} strideY - `y` stride length
* @param {NonNegativeInteger} offsetY - starting index for `y`
* @param {Object} A - output matrix object
* @param {Collection} A.data - output matrix data
* @param {Array<Function>} A.accessors - array element accessors
* @param {integer} strideA1 - stride of the first dimension of `A`
* @param {integer} strideA2 - stride of the second dimension of `A`
* @param {NonNegativeInteger} offsetA - starting index for `A`
* @returns {Object} output array object
*
* @example
* var toAccessorArray = require( '@stdlib/array/base/to-accessor-array' );
* var arraylike2object = require( '@stdlib/array/base/arraylike2object' );
*
* var A = [ 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 ];
* var x = [ 1.0, 1.0 ];
* var y = [ 1.0, 1.0, 1.0 ];
*
* gger( 2, 3, 1.0, arraylike2object( toAccessorArray( x ) ), 1, 0, arraylike2object( toAccessorArray( y ) ), 1, 0, arraylike2object( toAccessorArray( A ) ), 3, 1, 0 );
* // A => [ 2.0, 3.0, 4.0, 5.0, 6.0, 7.0 ]
*/
function gger( M, N, alpha, x, strideX, offsetX, y, strideY, offsetY, A, strideA1, strideA2, offsetA ) { // eslint-disable-line max-params, max-len
var getX;
var getY;
var getA;
var setA;
var xbuf;
var ybuf;
var Abuf;
var tmp;
var da0;
var da1;
var S0;
var S1;
var sx;
var sy;
var ia;
var ix;
var iy;
var i0;
var i1;
var v;
// Cache references to array data:
xbuf = x.data;
ybuf = y.data;
Abuf = A.data;
// Cache references to element accessors:
getX = x.accessors[ 0 ];
getY = y.accessors[ 0 ];
getA = A.accessors[ 0 ];
setA = A.accessors[ 1 ];
// Note on variable naming convention: S#, da#, ia#, i# where # corresponds to the loop number, with `0` being the innermost loop...
// Extract loop variables for purposes of loop interchange: dimensions and loop offset (pointer) increments...
if ( isRowMajor( [ strideA1, strideA2 ] ) ) {
// For row-major matrices, the last dimension has the fastest changing index...
S0 = N;
S1 = M;
da0 = strideA2; // offset increment for innermost loop
da1 = strideA1 - ( S0*strideA2 ); // offset increment for outermost loop
// Swap the vectors...
tmp = xbuf;
xbuf = ybuf;
ybuf = tmp;
tmp = strideX;
strideX = strideY;
strideY = tmp;
tmp = offsetX;
offsetX = offsetY;
offsetY = tmp;
} else { // order === 'column-major'
// For column-major matrices, the first dimension has the fastest changing index...
S0 = M;
S1 = N;
da0 = strideA1; // offset increment for innermost loop
da1 = strideA2 - ( S0*strideA1 ); // offset increment for outermost loop
}
sx = strideX;
sy = strideY;
ix = offsetX;
iy = offsetY;
ia = offsetA;
for ( i1 = 0; i1 < S1; i1++ ) {
// Check whether we can avoid the inner loop entirely...
if ( getY( ybuf, iy ) === 0.0 ) {
ia += da0 * S0;
} else {
tmp = alpha * getY( ybuf, iy );
ix = offsetX;
for ( i0 = 0; i0 < S0; i0++ ) {
v = getX( xbuf, ix ) * tmp;
setA( Abuf, ia, getA( Abuf, ia ) + v );
ix += sx;
ia += da0;
}
}
iy += sy;
ia += da1;
}
return A;
}
// EXPORTS //
module.exports = gger;
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