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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 max = require( '@stdlib/math/base/special/fast/max' );
var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' );
var isRowMajor = require( '@stdlib/ndarray/base/assert/is-row-major-string' );
var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
var format = require( '@stdlib/string/format' );
var base = require( './base.js' );
// MAIN //
/**
* Performs the matrix-matrix operation `C = α*op(A)*op(B) + β*C` where `op(X)` is either `op(X) = X` or `op(X) = X^T`, `α` and `β` are scalars, `A`, `B`, and `C` are matrices, with `op(A)` an `M` by `K` matrix, `op(B)` a `K` by `N` matrix, and `C` an `M` by `N` matrix.
*
* @param {string} order - storage layout
* @param {string} transA - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
* @param {string} transB - specifies whether `B` should be transposed, conjugate-transposed, or not transposed
* @param {NonNegativeInteger} M - number of rows in the matrix `op(A)` and in the matrix `C`
* @param {NonNegativeInteger} N - number of columns in the matrix `op(B)` and in the matrix `C`
* @param {NonNegativeInteger} K - number of columns in the matrix `op(A)` and number of rows in the matrix `op(B)`
* @param {number} alpha - scalar constant
* @param {NumericArray} A - first matrix
* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @param {NumericArray} B - second matrix
* @param {PositiveInteger} LDB - stride of the first dimension of `B` (a.k.a., leading dimension of the matrix `B`)
* @param {number} beta - scalar constant
* @param {NumericArray} C - third matrix
* @param {PositiveInteger} LDC - stride of the first dimension of `C` (a.k.a., leading dimension of the matrix `C`)
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} second argument must be a valid transpose operation
* @throws {TypeError} third argument must be a valid transpose operation
* @throws {RangeError} fourth argument must be a nonnegative integer
* @throws {RangeError} fifth argument must be a nonnegative integer
* @throws {RangeError} sixth argument must be a nonnegative integer
* @throws {RangeError} ninth argument must be greater than or equal to max(1,M) when `A` is not transposed and max(1,K) otherwise
* @throws {RangeError} eleventh argument must be greater than or equal to max(1,K) when `B` is not transposed and max(1,N) otherwise
* @throws {RangeError} fourteenth argument must be greater than or equal to max(1,M)
* @returns {NumericArray} `C`
*
* @example
* var A = [ 1.0, 2.0, 3.0, 4.0 ];
* var B = [ 1.0, 1.0, 0.0, 1.0 ];
* var C = [ 1.0, 2.0, 3.0, 4.0 ];
*
* dgemm( 'row-major', 'no-transpose', 'no-transpose', 2, 2, 2, 1.0, A, 2, B, 2, 1.0, C, 2 );
* // C => [ 2.0, 5.0, 6.0, 11.0 ]
*/
function dgemm( order, transA, transB, M, N, K, alpha, A, LDA, B, LDB, beta, C, LDC ) { // eslint-disable-line max-params, max-len
var nrowsa;
var nrowsb;
var valc;
var isrm;
var iscm;
var sa1;
var sa2;
var sb1;
var sb2;
var sc1;
var sc2;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( !isMatrixTranspose( transA ) ) {
throw new TypeError( format( 'invalid argument. Second argument must be a valid transpose operation. Value: `%s`.', transA ) );
}
if ( !isMatrixTranspose( transB ) ) {
throw new TypeError( format( 'invalid argument. Third argument must be a valid transpose operation. Value: `%s`.', transB ) );
}
if ( M < 0 ) {
throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', M ) );
}
if ( N < 0 ) {
throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', M ) );
}
if ( K < 0 ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be a nonnegative integer. Value: `%d`.', K ) );
}
isrm = isRowMajor( order );
iscm = isColumnMajor( order );
if (
( isrm && transA === 'no-transpose' ) ||
( iscm && transA === 'transpose' )
) {
nrowsa = K;
} else {
nrowsa = M;
}
if (
( isrm && transB === 'no-transpose' ) ||
( iscm && transB === 'transpose' )
) {
nrowsb = N;
} else {
nrowsb = K;
}
if ( LDA < max( 1, nrowsa ) ) {
throw new RangeError( format( 'invalid argument. Ninth argument must be greater than or equal to max(1,%d). Value: `%d`.', nrowsa, LDA ) );
}
if ( LDB < max( 1, nrowsb ) ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be greater than or equal to max(1,%d). Value: `%d`.', nrowsb, LDB ) );
}
if ( isrm ) {
valc = N;
} else {
valc = M;
}
if ( LDC < max( 1, valc ) ) {
throw new RangeError( format( 'invalid argument. Fourteenth argument must be greater than or equal to max(1,%d). Value: `%d`.', valc, LDC ) );
}
if ( iscm ) {
sa1 = 1;
sa2 = LDA;
sb1 = 1;
sb2 = LDB;
sc1 = 1;
sc2 = LDC;
} else { // order === 'row-major'
sa1 = LDA;
sa2 = 1;
sb1 = LDB;
sb2 = 1;
sc1 = LDC;
sc2 = 1;
}
return base( transA, transB, M, N, K, alpha, A, sa1, sa2, 0, B, sb1, sb2, 0, beta, C, sc1, sc2, 0 ); // eslint-disable-line max-len
}
// EXPORTS //
module.exports = dgemm;
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