LUDecomposition::getL() - Code Metrics - Inspection of "Linear Discrimant Analysis (LDA) (#82)" - php-ai/php-ml - Measure and Improve Code Quality continuously with Scrutinizer

Passed

Push — master ( 12b8b1...5b373f )

by Arkadiusz

created 2017-04-25 06:58 UTC

LUDecomposition::getL() B

↳ Parent: LUDecomposition

Complexity

Conditions	5
Paths	5

Size

Total Lines	16
Code Lines	11

Duplication

Lines	0
Ratio	0 %

Importance

Changes

Metric	Value
dl	0
loc	16
rs	8.8571
c	0
b	0
f	0
cc	5
eloc	11
nc	5
nop	0

<?php declare(strict_types=1);
/**
 *	@package JAMA
 *
 *	For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-n
 *	unit lower triangular matrix L, an n-by-n upper triangular matrix U,
 *	and a permutation vector piv of length m so that A(piv,:) = L*U.
 *	If m < n, then L is m-by-m and U is m-by-n.
 *
 *	The LU decompostion with pivoting always exists, even if the matrix is
 *	singular, so the constructor will never fail. The primary use of the
 *	LU decomposition is in the solution of square systems of simultaneous
 *	linear equations. This will fail if isNonsingular() returns false.
 *
 *	@author Paul Meagher
 *	@author Bartosz Matosiuk
 *	@author Michael Bommarito
 *	@version 1.1
 *	@license PHP v3.0
 *
 *  Slightly changed to adapt the original code to PHP-ML library
 *  @date 2017/04/24
 *  @author Mustafa Karabulut
 */

namespace Phpml\Math\LinearAlgebra;

use Phpml\Math\Matrix;
use Phpml\Exception\MatrixException;

class LUDecomposition
{
    /**
     *	Decomposition storage
     *	@var array
     */
    private $LU = [];

    /**
     *	Row dimension.
     *	@var int
     */
    private $m;

    /**
     *	Column dimension.
     *	@var int
     */
    private $n;

    /**
     *	Pivot sign.
     *	@var int
     */
    private $pivsign;

    /**
     *	Internal storage of pivot vector.
     *	@var array
     */
    private $piv = [];


    /**
     *	LU Decomposition constructor.
     *
     *	@param $A Rectangular matrix
     *	@return Structure to access L, U and piv.

     */
    public function __construct(Matrix $A)
    {
        if ($A->getRows() != $A->getColumns()) {
            throw MatrixException::notSquareMatrix();
        }

        // Use a "left-looking", dot-product, Crout/Doolittle algorithm.
        $this->LU = $A->toArray();
        $this->m  = $A->getRows();
        $this->n  = $A->getColumns();
        for ($i = 0; $i < $this->m; ++$i) {
            $this->piv[$i] = $i;
        }
        $this->pivsign = 1;
        $LUrowi = $LUcolj = [];
$myVar = 'Value';
$higher = false;

if (rand(1, 6) > 3) {
    $higher = true;
} else {
    $higher = false;
}

        // Outer loop.
        for ($j = 0; $j < $this->n; ++$j) {
            // Make a copy of the j-th column to localize references.
            for ($i = 0; $i < $this->m; ++$i) {

                $LUcolj[$i] = &$this->LU[$i][$j];
            }
            // Apply previous transformations.
            for ($i = 0; $i < $this->m; ++$i) {
                $LUrowi = $this->LU[$i];
                // Most of the time is spent in the following dot product.
                $kmax = min($i, $j);
                $s = 0.0;
                for ($k = 0; $k < $kmax; ++$k) {
                    $s += $LUrowi[$k] * $LUcolj[$k];
                }
                $LUrowi[$j] = $LUcolj[$i] -= $s;
            }
            // Find pivot and exchange if necessary.
            $p = $j;
            for ($i = $j+1; $i < $this->m; ++$i) {
                if (abs($LUcolj[$i]) > abs($LUcolj[$p])) {
                    $p = $i;
                }
            }
            if ($p != $j) {
                for ($k = 0; $k < $this->n; ++$k) {

                    $t = $this->LU[$p][$k];
                    $this->LU[$p][$k] = $this->LU[$j][$k];
                    $this->LU[$j][$k] = $t;
                }
                $k = $this->piv[$p];
                $this->piv[$p] = $this->piv[$j];
                $this->piv[$j] = $k;
                $this->pivsign = $this->pivsign * -1;
            }
            // Compute multipliers.
            if (($j < $this->m) && ($this->LU[$j][$j] != 0.0)) {
                for ($i = $j+1; $i < $this->m; ++$i) {

                    $this->LU[$i][$j] /= $this->LU[$j][$j];
                }
            }
        }
    }    //	function __construct()



    /**
     *	Get lower triangular factor.
     *
     *	@return array Lower triangular factor
     */
    public function getL()
    {
        $L = [];
        for ($i = 0; $i < $this->m; ++$i) {
            for ($j = 0; $j < $this->n; ++$j) {
                if ($i > $j) {
                    $L[$i][$j] = $this->LU[$i][$j];
                } elseif ($i == $j) {
                    $L[$i][$j] = 1.0;
                } else {
                    $L[$i][$j] = 0.0;
                }
            }
        }
        return new Matrix($L);
    }    //	function getL()



    /**
     *	Get upper triangular factor.
     *
     *	@return array Upper triangular factor
     */
    public function getU()
    {
        $U = [];
        for ($i = 0; $i < $this->n; ++$i) {
            for ($j = 0; $j < $this->n; ++$j) {
                if ($i <= $j) {
                    $U[$i][$j] = $this->LU[$i][$j];
                } else {
                    $U[$i][$j] = 0.0;
                }
            }
        }
        return new Matrix($U);
    }    //	function getU()



    /**
     *	Return pivot permutation vector.
     *
     *	@return array Pivot vector
     */
    public function getPivot()
    {
        return $this->piv;
    }    //	function getPivot()



    /**
     *	Alias for getPivot
     *
     *	@see getPivot
     */
    public function getDoublePivot()
    {
        return $this->getPivot();
    }    //	function getDoublePivot()



    /**
     *	Is the matrix nonsingular?
     *
     *	@return true if U, and hence A, is nonsingular.
     */
    public function isNonsingular()
    {
        for ($j = 0; $j < $this->n; ++$j) {

            if ($this->LU[$j][$j] == 0) {
                return false;
            }
        }
        return true;
    }    //	function isNonsingular()



    /**
     *	Count determinants
     *
     *	@return array d matrix deterninat
     */
    public function det()
    {
        if ($this->m == $this->n) {
            $d = $this->pivsign;
            for ($j = 0; $j < $this->n; ++$j) {

                $d *= $this->LU[$j][$j];
            }
            return $d;
        } else {
            throw MatrixException::notSquareMatrix();
        }
    }    //	function det()



    /**
     *	Solve A*X = B
     *
     * @param Matrix $B A Matrix with as many rows as A and any number of columns.
     *
     * @return array X so that L*U*X = B(piv,:)
     *
     * @throws MatrixException
     */
    public function solve(Matrix $B)
    {
        if ($B->getRows() != $this->m) {
            throw MatrixException::notSquareMatrix();
        }

        if (! $this->isNonsingular()) {
            throw MatrixException::singularMatrix();
        }

        // Copy right hand side with pivoting
        $nx = $B->getColumns();
        $X  = $this->getSubMatrix($B->toArray(), $this->piv, 0, $nx-1);
        // Solve L*Y = B(piv,:)
        for ($k = 0; $k < $this->n; ++$k) {
            for ($i = $k+1; $i < $this->n; ++$i) {

                for ($j = 0; $j < $nx; ++$j) {
                    $X[$i][$j] -= $X[$k][$j] * $this->LU[$i][$k];
                }
            }
        }
        // Solve U*X = Y;
        for ($k = $this->n-1; $k >= 0; --$k) {
            for ($j = 0; $j < $nx; ++$j) {
                $X[$k][$j] /= $this->LU[$k][$k];
            }
            for ($i = 0; $i < $k; ++$i) {

                for ($j = 0; $j < $nx; ++$j) {
                    $X[$i][$j] -= $X[$k][$j] * $this->LU[$i][$k];
                }
            }
        }
        return $X;
    }    //	function solve()


    /**
     * @param Matrix $matrix
     * @param int $j0
     * @param int $jF
     *
     * @return array
     */
    protected function getSubMatrix(array $matrix, array $RL, int $j0, int $jF)
    {
        $m = count($RL);
        $n = $jF - $j0;
        $R = array_fill(0, $m, array_fill(0, $n+1, 0.0));

        for ($i = 0; $i < $m; ++$i) {
            for ($j = $j0; $j <= $jF; ++$j) {
                $R[$i][$j - $j0]= $matrix[ $RL[$i] ][$j];
            }
        }

        return $R;
    }
}    //	class LUDecomposition


1		<?php declare(strict_types=1);
2		/**
3		* @package JAMA
4		*
5		* For an m-by-n matrix A with m >= n, the LU decomposition is an m-by-n
6		* unit lower triangular matrix L, an n-by-n upper triangular matrix U,
7		* and a permutation vector piv of length m so that A(piv,:) = L*U.
8		* If m < n, then L is m-by-m and U is m-by-n.
9		*
10		* The LU decompostion with pivoting always exists, even if the matrix is
11		* singular, so the constructor will never fail. The primary use of the
12		* LU decomposition is in the solution of square systems of simultaneous
13		* linear equations. This will fail if isNonsingular() returns false.
14		*
15		* @author Paul Meagher
16		* @author Bartosz Matosiuk
17		* @author Michael Bommarito
18		* @version 1.1
19		* @license PHP v3.0
20		*
21		* Slightly changed to adapt the original code to PHP-ML library
22		* @date 2017/04/24
23		* @author Mustafa Karabulut
24		*/
25
26		namespace Phpml\Math\LinearAlgebra;
27
28		use Phpml\Math\Matrix;
29		use Phpml\Exception\MatrixException;
30
31		class LUDecomposition
32		{
33		/**
34		* Decomposition storage
35		* @var array
36		*/
37		private $LU = [];
38
39		/**
40		* Row dimension.
41		* @var int
42		*/
43		private $m;
44
45		/**
46		* Column dimension.
47		* @var int
48		*/
49		private $n;
50
51		/**
52		* Pivot sign.
53		* @var int
54		*/
55		private $pivsign;
56
57		/**
58		* Internal storage of pivot vector.
59		* @var array
60		*/
61		private $piv = [];
62
63
64		/**
65		* LU Decomposition constructor.
66		*
67		* @param $A Rectangular matrix
68		* @return Structure to access L, U and piv.
		0 ignored issues – show Comprehensibility Best Practice introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report Adding a `@return` annotation to constructors is generally not recommended as a constructor does not have a meaningful return value. Adding a `@return` annotation to a constructor is not recommended, since a constructor does not have a meaningful return value. Please refer to the PHP core documentation on constructors. Loading history...
69		*/
70		public function __construct(Matrix $A)
71		{
72		if ($A->getRows() != $A->getColumns()) {
73		throw MatrixException::notSquareMatrix();
74		}
75
76		// Use a "left-looking", dot-product, Crout/Doolittle algorithm.
77		$this->LU = $A->toArray();
78		$this->m = $A->getRows();
79		$this->n = $A->getColumns();
80		for ($i = 0; $i < $this->m; ++$i) {
81		$this->piv[$i] = $i;
82		}
83		$this->pivsign = 1;
84		$LUrowi = $LUcolj = [];
		0 ignored issues – show Unused Code introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `$LUrowi` is not used, you could remove the assignment. This check looks for variable assignements that are either overwritten by other assignments or where the variable is not used subsequently. $myVar = 'Value'; $higher = false; if (rand(1, 6) > 3) { $higher = true; } else { $higher = false; } Both the `$myVar` assignment in line 1 and the `$higher` assignment in line 2 are dead. The first because `$myVar` is never used and the second because `$higher` is always overwritten for every possible time line. Loading history...
85
86		// Outer loop.
87		for ($j = 0; $j < $this->n; ++$j) {
88		// Make a copy of the j-th column to localize references.
89	View Code Duplication	for ($i = 0; $i < $this->m; ++$i) {
		0 ignored issues – show Duplication introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report This code seems to be duplicated across your project. Duplicated code is one of the most pungent code smells. If you need to duplicate the same code in three or more different places, we strongly encourage you to look into extracting the code into a single class or operation. You can also find more detailed suggestions in the “Code” section of your repository. Loading history...
90		$LUcolj[$i] = &$this->LU[$i][$j];
91		}
92		// Apply previous transformations.
93		for ($i = 0; $i < $this->m; ++$i) {
94		$LUrowi = $this->LU[$i];
95		// Most of the time is spent in the following dot product.
96		$kmax = min($i, $j);
97		$s = 0.0;
98		for ($k = 0; $k < $kmax; ++$k) {
99		$s += $LUrowi[$k] * $LUcolj[$k];
100		}
101		$LUrowi[$j] = $LUcolj[$i] -= $s;
102		}
103		// Find pivot and exchange if necessary.
104		$p = $j;
105		for ($i = $j+1; $i < $this->m; ++$i) {
106		if (abs($LUcolj[$i]) > abs($LUcolj[$p])) {
107		$p = $i;
108		}
109		}
110		if ($p != $j) {
111	View Code Duplication	for ($k = 0; $k < $this->n; ++$k) {
		0 ignored issues – show Duplication introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report This code seems to be duplicated across your project. Duplicated code is one of the most pungent code smells. If you need to duplicate the same code in three or more different places, we strongly encourage you to look into extracting the code into a single class or operation. You can also find more detailed suggestions in the “Code” section of your repository. Loading history...
112		$t = $this->LU[$p][$k];
113		$this->LU[$p][$k] = $this->LU[$j][$k];
114		$this->LU[$j][$k] = $t;
115		}
116		$k = $this->piv[$p];
117		$this->piv[$p] = $this->piv[$j];
118		$this->piv[$j] = $k;
119		$this->pivsign = $this->pivsign * -1;
120		}
121		// Compute multipliers.
122		if (($j < $this->m) && ($this->LU[$j][$j] != 0.0)) {
123	View Code Duplication	for ($i = $j+1; $i < $this->m; ++$i) {
		0 ignored issues – show Duplication introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report This code seems to be duplicated across your project. Duplicated code is one of the most pungent code smells. If you need to duplicate the same code in three or more different places, we strongly encourage you to look into extracting the code into a single class or operation. You can also find more detailed suggestions in the “Code” section of your repository. Loading history...
124		$this->LU[$i][$j] /= $this->LU[$j][$j];
125		}
126		}
127		}
128		} // function __construct()
		0 ignored issues – show Unused Code Comprehensibility introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `50%` of this comment could be valid code. Did you maybe forget this after debugging? Sometimes obsolete code just ends up commented out instead of removed. In this case it is better to remove the code once you have checked you do not need it. The code might also have been commented out for debugging purposes. In this case it is vital that someone uncomments it again or your project may behave in very unexpected ways in production. This check looks for comments that seem to be mostly valid code and reports them. Loading history...
129
130
131		/**
132		* Get lower triangular factor.
133		*
134		* @return array Lower triangular factor
135		*/
136		public function getL()
137		{
138		$L = [];
139		for ($i = 0; $i < $this->m; ++$i) {
140		for ($j = 0; $j < $this->n; ++$j) {
141		if ($i > $j) {
142		$L[$i][$j] = $this->LU[$i][$j];
143		} elseif ($i == $j) {
144		$L[$i][$j] = 1.0;
145		} else {
146		$L[$i][$j] = 0.0;
147		}
148		}
149		}
150		return new Matrix($L);
151		} // function getL()
		0 ignored issues – show Unused Code Comprehensibility introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `50%` of this comment could be valid code. Did you maybe forget this after debugging? Sometimes obsolete code just ends up commented out instead of removed. In this case it is better to remove the code once you have checked you do not need it. The code might also have been commented out for debugging purposes. In this case it is vital that someone uncomments it again or your project may behave in very unexpected ways in production. This check looks for comments that seem to be mostly valid code and reports them. Loading history...
152
153
154		/**
155		* Get upper triangular factor.
156		*
157		* @return array Upper triangular factor
158		*/
159		public function getU()
160		{
161		$U = [];
162		for ($i = 0; $i < $this->n; ++$i) {
163		for ($j = 0; $j < $this->n; ++$j) {
164		if ($i <= $j) {
165		$U[$i][$j] = $this->LU[$i][$j];
166		} else {
167		$U[$i][$j] = 0.0;
168		}
169		}
170		}
171		return new Matrix($U);
172		} // function getU()
		0 ignored issues – show Unused Code Comprehensibility introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `50%` of this comment could be valid code. Did you maybe forget this after debugging? Sometimes obsolete code just ends up commented out instead of removed. In this case it is better to remove the code once you have checked you do not need it. The code might also have been commented out for debugging purposes. In this case it is vital that someone uncomments it again or your project may behave in very unexpected ways in production. This check looks for comments that seem to be mostly valid code and reports them. Loading history...
173
174
175		/**
176		* Return pivot permutation vector.
177		*
178		* @return array Pivot vector
179		*/
180		public function getPivot()
181		{
182		return $this->piv;
183		} // function getPivot()
		0 ignored issues – show Unused Code Comprehensibility introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `50%` of this comment could be valid code. Did you maybe forget this after debugging? Sometimes obsolete code just ends up commented out instead of removed. In this case it is better to remove the code once you have checked you do not need it. The code might also have been commented out for debugging purposes. In this case it is vital that someone uncomments it again or your project may behave in very unexpected ways in production. This check looks for comments that seem to be mostly valid code and reports them. Loading history...
184
185
186		/**
187		* Alias for getPivot
188		*
189		* @see getPivot
190		*/
191		public function getDoublePivot()
192		{
193		return $this->getPivot();
194		} // function getDoublePivot()
		0 ignored issues – show Unused Code Comprehensibility introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `50%` of this comment could be valid code. Did you maybe forget this after debugging? Sometimes obsolete code just ends up commented out instead of removed. In this case it is better to remove the code once you have checked you do not need it. The code might also have been commented out for debugging purposes. In this case it is vital that someone uncomments it again or your project may behave in very unexpected ways in production. This check looks for comments that seem to be mostly valid code and reports them. Loading history...
195
196
197		/**
198		* Is the matrix nonsingular?
199		*
200		* @return true if U, and hence A, is nonsingular.
201		*/
202		public function isNonsingular()
203		{
204	View Code Duplication	for ($j = 0; $j < $this->n; ++$j) {
		0 ignored issues – show Duplication introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report This code seems to be duplicated across your project. Duplicated code is one of the most pungent code smells. If you need to duplicate the same code in three or more different places, we strongly encourage you to look into extracting the code into a single class or operation. You can also find more detailed suggestions in the “Code” section of your repository. Loading history...
205		if ($this->LU[$j][$j] == 0) {
206		return false;
207		}
208		}
209		return true;
210		} // function isNonsingular()
		0 ignored issues – show Unused Code Comprehensibility introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `50%` of this comment could be valid code. Did you maybe forget this after debugging? Sometimes obsolete code just ends up commented out instead of removed. In this case it is better to remove the code once you have checked you do not need it. The code might also have been commented out for debugging purposes. In this case it is vital that someone uncomments it again or your project may behave in very unexpected ways in production. This check looks for comments that seem to be mostly valid code and reports them. Loading history...
211
212
213		/**
214		* Count determinants
215		*
216		* @return array d matrix deterninat
217		*/
218		public function det()
219		{
220		if ($this->m == $this->n) {
221		$d = $this->pivsign;
222	View Code Duplication	for ($j = 0; $j < $this->n; ++$j) {
		0 ignored issues – show Duplication introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report This code seems to be duplicated across your project. Duplicated code is one of the most pungent code smells. If you need to duplicate the same code in three or more different places, we strongly encourage you to look into extracting the code into a single class or operation. You can also find more detailed suggestions in the “Code” section of your repository. Loading history...
223		$d *= $this->LU[$j][$j];
224		}
225		return $d;
226		} else {
227		throw MatrixException::notSquareMatrix();
228		}
229		} // function det()
		0 ignored issues – show Unused Code Comprehensibility introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `50%` of this comment could be valid code. Did you maybe forget this after debugging? Sometimes obsolete code just ends up commented out instead of removed. In this case it is better to remove the code once you have checked you do not need it. The code might also have been commented out for debugging purposes. In this case it is vital that someone uncomments it again or your project may behave in very unexpected ways in production. This check looks for comments that seem to be mostly valid code and reports them. Loading history...
230
231
232		/**
233		* Solve A*X = B
234		*
235		* @param Matrix $B A Matrix with as many rows as A and any number of columns.
236		*
237		* @return array X so that LUX = B(piv,:)
238		*
239		* @throws MatrixException
240		*/
241		public function solve(Matrix $B)
242		{
243		if ($B->getRows() != $this->m) {
244		throw MatrixException::notSquareMatrix();
245		}
246
247		if (! $this->isNonsingular()) {
248		throw MatrixException::singularMatrix();
249		}
250
251		// Copy right hand side with pivoting
252		$nx = $B->getColumns();
253		$X = $this->getSubMatrix($B->toArray(), $this->piv, 0, $nx-1);
254		// Solve L*Y = B(piv,:)
255		for ($k = 0; $k < $this->n; ++$k) {
256	View Code Duplication	for ($i = $k+1; $i < $this->n; ++$i) {
		0 ignored issues – show Duplication introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report This code seems to be duplicated across your project. Duplicated code is one of the most pungent code smells. If you need to duplicate the same code in three or more different places, we strongly encourage you to look into extracting the code into a single class or operation. You can also find more detailed suggestions in the “Code” section of your repository. Loading history...
257		for ($j = 0; $j < $nx; ++$j) {
258		$X[$i][$j] -= $X[$k][$j] * $this->LU[$i][$k];
259		}
260		}
261		}
262		// Solve U*X = Y;
263		for ($k = $this->n-1; $k >= 0; --$k) {
264		for ($j = 0; $j < $nx; ++$j) {
265		$X[$k][$j] /= $this->LU[$k][$k];
266		}
267	View Code Duplication	for ($i = 0; $i < $k; ++$i) {
		0 ignored issues – show Duplication introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report This code seems to be duplicated across your project. Duplicated code is one of the most pungent code smells. If you need to duplicate the same code in three or more different places, we strongly encourage you to look into extracting the code into a single class or operation. You can also find more detailed suggestions in the “Code” section of your repository. Loading history...
268		for ($j = 0; $j < $nx; ++$j) {
269		$X[$i][$j] -= $X[$k][$j] * $this->LU[$i][$k];
270		}
271		}
272		}
273		return $X;
274		} // function solve()
		0 ignored issues – show Unused Code Comprehensibility introduced 2017-04-24 14:04 UTC by Report Bug Copy Issue Report `50%` of this comment could be valid code. Did you maybe forget this after debugging? Sometimes obsolete code just ends up commented out instead of removed. In this case it is better to remove the code once you have checked you do not need it. The code might also have been commented out for debugging purposes. In this case it is vital that someone uncomments it again or your project may behave in very unexpected ways in production. This check looks for comments that seem to be mostly valid code and reports them. Loading history...
275
276		/**
277		* @param Matrix $matrix
278		* @param int $j0
279		* @param int $jF
280		*
281		* @return array
282		*/
283		protected function getSubMatrix(array $matrix, array $RL, int $j0, int $jF)
284		{
285		$m = count($RL);
286		$n = $jF - $j0;
287		$R = array_fill(0, $m, array_fill(0, $n+1, 0.0));
288
289		for ($i = 0; $i < $m; ++$i) {
290		for ($j = $j0; $j <= $jF; ++$j) {
291		$R[$i][$j - $j0]= $matrix[ $RL[$i] ][$j];
292		}
293		}
294
295		return $R;
296		}
297		} // class LUDecomposition
298

php-ai / php-ml

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LUDecomposition::getL() B

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