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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.
*/
'use strict';
// MODULES //
var isColumnMajor = require( '@stdlib/ndarray/base/assert/is-column-major-string' );
var isLayout = require( '@stdlib/blas/base/assert/is-layout' );
var stride2offset = require( '@stdlib/strided/base/stride2offset' );
var max = require( '@stdlib/math/base/special/fast/max' );
var format = require( '@stdlib/string/format' );
var base = require( './base.js' );
// MAIN //
/**
* Generates a Vandermonde matrix.
*
* @param {string} order - storage layout
* @param {integer} mode - mode indicating whether to generate increasing or decreasing powers
* @param {NonNegativeInteger} M - number of rows in `out`
* @param {NonNegativeInteger} N - number of columns in `out`
* @param {NumericArray} x - input array
* @param {integer} strideX - stride length for `x`
* @param {NumericArray} out - output matrix
* @param {PositiveInteger} ldo - stride of the first dimension of `out` (a.k.a., leading dimension of the matrix `out`)
* @throws {TypeError} first argument must be a valid order
* @throws {RangeError} third argument must be a nonnegative integer
* @throws {RangeError} fourth argument must be a nonnegative integer
* @throws {RangeError} sixth argument must be non-zero
* @throws {RangeError} eighth argument must be a valid stride
* @returns {NumericArray} output matrix
*
* @example
* var x = [ 1.0, 2.0, 3.0 ];
* var out = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];
*
* gvander( 'row-major', 1, 3, 3, x, 1, out, 3 );
* // out => [ 1.0, 1.0, 1.0, 1.0, 2.0, 4.0, 1.0, 3.0, 9.0 ]
*/
function gvander( order, mode, M, N, x, strideX, out, ldo ) {
var iscm;
var sa1;
var sa2;
var ox;
var k;
if ( !isLayout( order ) ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
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 ( strideX === 0 ) {
throw new RangeError( format( 'invalid argument. Sixth argument must be non-zero. Value: `%d`.', strideX ) );
}
iscm = isColumnMajor( order );
if ( iscm ) {
k = M;
} else {
k = N;
}
if ( ldo < max( 1, k ) ) {
throw new RangeError( format( 'invalid argument. Eighth argument must be greater than or equal to max(1,%d). Value: `%d`.', k, ldo ) );
}
if ( M === 0 || N === 0 ) {
return out;
}
ox = stride2offset( M, strideX );
if ( iscm ) {
sa1 = 1;
sa2 = ldo;
} else { // order === 'row-major'
sa1 = ldo;
sa2 = 1;
}
return base( mode, M, N, x, strideX, ox, out, sa1, sa2, 0 );
}
// EXPORTS //
module.exports = gvander;
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