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| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 | 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 33x 33x 33x 33x 33x 33x 33x 33x 8x 8x 33x 12x 12x 33x 2x 2x 11x 33x 4x 4x 33x 7x 7x 7x 11x 33x 2x 2x 2x 2x 2x | /**
* @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 resolveLayout = require( '@stdlib/blas/base/layout-resolve-str' );
var max = require( '@stdlib/math/base/special/fast/max' );
var format = require( '@stdlib/string/format' );
var ndarray = require( './ndarray.js' );
// MAIN //
/**
* Generates a Hilbert matrix.
*
* @param {(integer|string)} order - storage layout
* @param {NonNegativeInteger} N - number of rows and columns of the output matrix
* @param {Collection} out - output array
* @param {PositiveInteger} ldo - stride between successive contiguous vectors of the matrix `out` (a.k.a., leading dimension of the matrix `out`)
* @throws {TypeError} first argument must be a valid order
* @throws {RangeError} fourth argument must be a valid stride
* @returns {Collection} output matrix
*
* @example
* var out = [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ];
*
* ghilbert( 'row-major', 3, out, 3 );
* // out => [ 1.0, 0.5, ~0.3333, 0.5, ~0.3333, 0.25, ~0.3333, 0.25, 0.2 ]
*/
function ghilbert( order, N, out, ldo ) {
var iscm;
var sa1;
var sa2;
var l;
l = resolveLayout( order );
if ( l === null ) {
throw new TypeError( format( 'invalid argument. First argument must be a valid order. Value: `%s`.', order ) );
}
if ( ldo < max( 1, N ) ) {
throw new RangeError( format( 'invalid argument. Fourth argument must be greater than or equal to max(1,%d). Value: `%d`.', N, ldo ) );
}
if ( N <= 0 ) {
return out;
}
iscm = isColumnMajor( l );
if ( iscm ) {
sa1 = 1;
sa2 = ldo;
} else { // order === 'row-major'
sa1 = ldo;
sa2 = 1;
}
return ndarray( N, out, sa1, sa2, 0 );
}
// EXPORTS //
module.exports = ghilbert;
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