src/Chippyash/Math/Matrix/Special/Cauchy.php
<?php
/**
* Math-Matrix
*
* @author Ashley Kitson
* @copyright Ashley Kitson, 2016, UK
* @license BSD 3 Clause See LICENSE.md
*/
namespace Chippyash\Math\Matrix\Special;
use Chippyash\Math\Matrix\Exceptions\MathMatrixException;
use Chippyash\Math\Matrix\NumericMatrix;
use Chippyash\Type\String\StringType;
use Chippyash\Validation\Common\Lambda;
use Chippyash\Validation\Exceptions\InvalidParameterException;
use Chippyash\Validation\Logical\LAnd;
use Chippyash\Validation\Logical\LOr;
use Chippyash\Validation\Pattern\HasTypeMap;
/**
* Cauchy Matrix
* @link https://en.wikipedia.org/wiki/Cauchy_matrix
*/
class Cauchy extends AbstractSpecial
{
const ERR1 = 'x and y must be vectors of same length for cauchy matrix';
const ERR2 = 'x and y must be vectors';
/**
* Map of argument names
* @var array
*/
protected $map = ['x', 'y'];
/**
* @inheritDoc
*/
protected function validateArguments(array $args)
{
$valA = new HasTypeMap([
'x' => 'integer'
]
);
$valB = new HasTypeMap([
'x' => 'Chippyash\Math\Matrix\NumericMatrix',
'y' => 'Chippyash\Math\Matrix\NumericMatrix'
]
);
$valB1 = new Lambda(function($args) {
return $args['x']->is('Vector') && $args['y']->is('Vector');
},
new StringType(self::ERR2));
$valB2 = new Lambda(function($args) {
return $args['x']->vertices() == $args['y']->vertices();
},
new StringType(self::ERR1)
);
$validator = new LOr(
$valA,
new LAnd(
$valB,
new LAnd(
$valB1, $valB2
)
)
);
if (!$validator->isValid($args)) {
throw new InvalidParameterException(implode(':', $validator->getMessages()));
}
}
/**
* @inheritDoc
*/
protected function createMatrix(array $args)
{
if (is_int($args['x'])) {
return $this->createFromInt($args['x']);
}
return $this->createFromMatrices($args['x'], $args['y']);
}
/**
* @param $val
* @return NumericMatrix
*/
protected function createFromInt($val)
{
$mX = new NumericMatrix(range(1, $val));
$mY = clone $mX;
return $this->createFromMatrices($mX, $mY);
}
/**
* @param NumericMatrix $mX Row Vector
* @param NumericMatrix $mY Columnvector
* @return NumericMatrix
* @throws MathMatrixException
*/
protected function createFromMatrices(NumericMatrix $mX, NumericMatrix $mY)
{
$mX = ($mX->is('columnvector') ? $mX : $mX = $mX('Transpose'));
$mY = ($mY->is('rowvector') ? $mY : $mY = $mY('Transpose'));
$ones = new Ones();
$mVertices = $mX->vertices();
$onesRow = $ones->create([1, $mVertices]);
$onesCol = $ones->create([$mVertices, 1]);
//C = x * ones (1, n) + ones (n, 1) * y
$m1 = $mX('Mul\Matrix', $onesRow);
$m2 = $onesCol('Mul\Matrix', $mY);
$mC = $m1('Add\Matrix', $m2);
$onesSquare = $ones->create([$mVertices, $mVertices]);
//C = ones (n) ./ C;
return $onesSquare('Div\Entrywise', $mC);
}
}