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* @license Apache-2.0
*
* Copyright (c) 2026 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-params */
'use strict';
// MODULES //
var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' );
var realf = require( '@stdlib/complex/float32/real' );
var imagf = require( '@stdlib/complex/float32/imag' );
var format = require( '@stdlib/string/format' );
var base = require( './base.js' );
// MAIN //
/**
* Performs one of the matrix-vector operations `y = α*A*x + β*y` or `y = α*A^T*x + β*y` or `y = α*A^H*x + β*y`, where `α` and `β` are complex scalars, `x` and `y` are complex vectors, and `A` is an `M` by `N` complex band matrix with `KL` sub-diagonals and `KU` super-diagonals.
*
* @private
* @param {string} trans - specifies whether `A` should be transposed, conjugate-transposed, or not transposed
* @param {NonNegativeInteger} M - number of rows in the matrix `A`
* @param {NonNegativeInteger} N - number of columns in the matrix `A`
* @param {NonNegativeInteger} KL - number of sub-diagonals of matrix `A`
* @param {NonNegativeInteger} KU - number of super-diagonals of matrix `A`
* @param {Complex64} alpha - complex scalar constant
* @param {Complex64Array} A - input banded complex matrix (compact band storage)
* @param {integer} strideA1 - stride of first dimension of `A`
* @param {integer} strideA2 - stride of second dimension of `A`
* @param {NonNegativeInteger} offsetA - starting index into `A`
* @param {Complex64Array} x - first input complex vector `x`
* @param {integer} strideX - `x` stride length
* @param {NonNegativeInteger} offsetX - starting index for `x`
* @param {Complex64} beta - complex scalar constant
* @param {Complex64Array} y - second input complex vector y
* @param {integer} strideY - `y` stride length
* @param {NonNegativeInteger} offsetY - starting index for `y`
* @throws {TypeError} first argument must be a valid transpose operation
* @throws {RangeError} second argument must be a nonnegative integer
* @throws {RangeError} third argument must be a nonnegative integer
* @throws {RangeError} eighth argument must be non-zero
* @throws {RangeError} ninth argument must be non-zero
* @throws {RangeError} fourteenth argument must be non-zero
* @returns {Complex64Array} `y`
*
* @example
* var Complex64Array = require( '@stdlib/array/complex64' );
* var Complex64 = require( '@stdlib/complex/float32/ctor' );
*
* var A = new Complex64Array( [ 0.0, 0.0, 1.0, 1.0, 3.0, 3.0, 2.0, 2.0, 4.0, 4.0, 6.0, 6.0, 5.0, 5.0, 7.0, 7.0, 0.0, 0.0 ] );
* var x = new Complex64Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
* var y = new Complex64Array( [ 3.0, 3.0, 2.0, 2.0, 1.0, 1.0 ] );
* var alpha = new Complex64( 0.5, 0.5 );
* var beta = new Complex64( 0.5, -0.5 );
*
* cgbmv( 'no-transpose', 3, 3, 1, 1, alpha, A, 3, 1, 0, x, 1, 0, beta, y, 1, 0 );
* // y => <Complex64Array>[ -4.0, 7.0, -26.0, 28.0, -30.0, 31.0 ]
*/
function cgbmv( trans, M, N, KL, KU, alpha, A, strideA1, strideA2, offsetA, x, strideX, offsetX, beta, y, strideY, offsetY ) { // eslint-disable-line max-len
var realpha;
var imalpha;
var rebeta;
var imbeta;
if ( !isMatrixTranspose( trans ) ) {
throw new TypeError( format( 'invalid argument. Second argument must be a valid transpose operation. Value: `%s`.', trans ) );
}
if ( M < 0 ) {
throw new RangeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%d`.', M ) );
}
if ( N < 0 ) {
throw new RangeError( format( 'invalid argument. Fourth argument must be a nonnegative integer. Value: `%d`.', N ) );
}
if ( KL < 0 ) {
throw new RangeError( format( 'invalid argument. Fifth argument must be a nonnegative integer. Value: `%d`.', KL ) );
}
if ( KU < 0 ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be a nonnegative integer. Value: `%d`.', KU ) );
}
if ( strideA1 === 0 ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be non-zero. Value: `%d`.', strideA1 ) );
}
if ( strideA2 === 0 ) {
throw new RangeError( format( 'invalid argument. Ninth argument must be non-zero. Value: `%d`.', strideA2 ) );
}
if ( strideX === 0 ) {
throw new RangeError( format( 'invalid argument. Thirtheenth argument must be non-zero. Value: `%d`.', strideX ) );
}
if ( strideY === 0 ) {
throw new RangeError( format( 'invalid argument. Seventeenth argument must be non-zero. Value: `%d`.', strideY ) );
}
rebeta = realf( beta );
imbeta = imagf( beta );
realpha = realf( alpha );
imalpha = imagf( alpha );
// Check if we can early return...
if ( M === 0 || N === 0 || ( realpha === 0.0 && imalpha === 0.0 && rebeta === 1.0 && imbeta === 0.0 ) ) { // eslint-disable-line max-len
return y;
}
return base( trans, M, N, KL, KU, alpha, A, strideA1, strideA2, offsetA, x, strideX, offsetX, beta, y, strideY, offsetY ); // eslint-disable-line max-len
}
// EXPORTS //
module.exports = cgbmv;
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