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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 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 | 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 3x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 24x 48x 48x 48x 48x 96x 96x 96x 96x 48x 48x 48x 24x 24x 3x 3x 3x 3x 3x | /**
* @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';
// MAIN //
/**
* Generates a Cauchy matrix.
*
* @private
* @param {NonNegativeInteger} M - number of indexed elements in `x`
* @param {NonNegativeInteger} N - number of indexed elements in `y`
* @param {Object} x - input array object
* @param {Collection} x.data - input array data
* @param {Array<Function>} x.accessors - array element accessors
* @param {integer} strideX - stride length for `x`
* @param {NonNegativeInteger} offsetX - starting index for `x`
* @param {Object} y - input array object
* @param {Collection} y.data - input array data
* @param {Array<Function>} y.accessors - array element accessors
* @param {integer} strideY - stride length for `y`
* @param {NonNegativeInteger} offsetY - starting index for `y`
* @param {Object} out - output array object
* @param {Collection} out.data - output array data
* @param {Array<Function>} out.accessors - array element accessors
* @param {integer} strideOut1 - stride length for the first dimension of `out`
* @param {integer} strideOut2 - stride length for the second dimension of `out`
* @param {NonNegativeInteger} offsetOut - starting index for `out`
* @returns {Object} output array object
*
* @example
* var toAccessorArray = require( '@stdlib/array/base/to-accessor-array' );
* var arraylike2object = require( '@stdlib/array/base/arraylike2object' );
*
* var x = [ 3.0, 5.0 ];
* var y = [ 1.0, 4.0 ];
* var out = [ 0.0, 0.0, 0.0, 0.0 ];
*
* gcauchyMatrix( 2, 2, arraylike2object( toAccessorArray( x ) ), 1, 0, arraylike2object( toAccessorArray( y ) ), 1, 0, arraylike2object( toAccessorArray( out ) ), 2, 1, 0 );
* // out => [ 0.5, -1.0, 0.25, 1.0 ]
*/
function gcauchyMatrix( M, N, x, strideX, offsetX, y, strideY, offsetY, out, strideOut1, strideOut2, offsetOut ) { // eslint-disable-line max-len
var xbuf;
var ybuf;
var obuf;
var getX;
var getY;
var oset;
var ix;
var iy;
var io;
var ij;
var v;
var i;
var j;
// Cache references to array data:
xbuf = x.data;
ybuf = y.data;
obuf = out.data;
// Cache references to element accessors:
getX = x.accessors[ 0 ];
getY = y.accessors[ 0 ];
oset = out.accessors[ 1 ];
ix = offsetX;
io = offsetOut;
for ( i = 0; i < M; i++ ) {
v = getX( xbuf, ix );
iy = offsetY;
ij = io;
for ( j = 0; j < N; j++ ) {
oset( obuf, ij, 1.0 / ( v - getY( ybuf, iy ) ) );
iy += strideY;
ij += strideOut2;
}
ix += strideX;
io += strideOut1;
}
return out;
}
// EXPORTS //
module.exports = gcauchyMatrix;
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