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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 stride2offset = require( '@stdlib/strided/base/stride2offset' );
var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
var isMatrixTranspose = require( '@stdlib/blas/base/assert/is-transpose-operation' );
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 scalars, `x` and `y` are vectors, and `A` is an `M` by `N` band matrix with `KL` sub-diagonals and `KU` super-diagonals.
*
* @private
* @param {string} order - storage layout
* @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 {Complex128} alpha - scalar constant
* @param {Complex128Array} A - input banded matrix (compact band storage)
* @param {PositiveInteger} LDA - stride of the first dimension of `A` (a.k.a., leading dimension of the matrix `A`)
* @param {Complex128Array} x - first input vector `x`
* @param {integer} strideX - `x` stride length
* @param {Complex128} beta - scalar constant
* @param {Complex128Array} y - second input vector y
* @param {integer} strideY - `y` stride length
* @throws {TypeError} first argument must be a valid order
* @throws {TypeError} second argument must be a valid transpose operation
* @throws {RangeError} third argument must be a nonnegative integer
* @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 KL + KU + 1
* @throws {RangeError} ninth argument must be non-zero
* @throws {RangeError} eleventh argument must be non-zero
* @throws {RangeError} fourteenth argument must be non-zero
* @returns {Complex128Array} `y`
*
* @example
* var Complex128Array = require( '@stdlib/array/complex128' );
* var Complex128 = require( '@stdlib/complex/float64/ctor' );
*
* var A = new Complex128Array( [ 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 Complex128Array( [ 1.0, 1.0, 2.0, 2.0, 3.0, 3.0 ] );
* var y = new Complex128Array( [ 3.0, 3.0, 2.0, 2.0, 1.0, 1.0 ] );
* var alpha = new Complex128( 0.5, 0.5 );
* var beta = new Complex128( 0.5, -0.5 );
*
* zgbmv( 'row-major', 'no-transpose', 3, 3, 1, 1, alpha, A, 3, x, 1, beta, y, 1 );
* // y => <Complex128Array>[ -4.0, 7.0, -26.0, 28.0, -30.0, 31.0 ]
*/
function zgbmv( order, trans, M, N, KL, KU, alpha, A, LDA, x, strideX, beta, y, strideY ) { // eslint-disable-line max-len
var xlen;
var ylen;
var sa1;
var sa2;
var ox;
var oy;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
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 ( LDA < ( KL + KU + 1 ) ) {
throw new RangeError( format( 'invalid argument. ninth argument is not a valid integer. Value: `%d`.', ( KL + KU + 1 ) ) );
}
if ( strideX === 0 ) {
throw new RangeError( format( 'invalid argument. Eleventh argument must be non-zero.' ) );
}
if ( strideY === 0 ) {
throw new RangeError( format( 'invalid argument. Fourteenth argument must be non-zero.' ) );
}
// Check if we can early return...
if ( M === 0 || N === 0 ) {
return y;
}
if ( trans === 'no-transpose' ) {
xlen = N;
ylen = M;
} else {
xlen = M;
ylen = N;
}
ox = stride2offset( xlen, strideX );
oy = stride2offset( ylen, strideY );
if ( order === 'column-major' ) {
sa1 = 1;
sa2 = LDA;
} else { // order === 'row-major'
sa1 = LDA;
sa2 = 1;
}
return base( trans, M, N, KL, KU, alpha, A, sa1, sa2, 0, x, strideX, ox, beta, y, strideY, oy ); // eslint-disable-line max-len
}
// EXPORTS //
module.exports = zgbmv;
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