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phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/README.md

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+PHPMatrix
+==========
+
+---
+
+PHP Class for handling Matrices
+
+Master: [![Build Status](https://travis-ci.org/MarkBaker/PHPMatrix.png?branch=master)](http://travis-ci.org/MarkBaker/PHPMatrix)
+
+Develop: [![Build Status](https://travis-ci.org/MarkBaker/PHPMatrix.png?branch=develop)](http://travis-ci.org/MarkBaker/PHPMatrix)
+
+[![Matrix Transform](https://imgs.xkcd.com/comics/matrix_transform.png)](https://xkcd.com/184/)
+
+Matrix Transform
+
+---
+
+This library currently provides the following operations:
+
+ - addition
+ - direct sum
+ - subtraction
+ - multiplication
+ - division (using [A].[B]<sup>-1</sup>)
+    - division by
+    - division into
+
+together with functions for 
+
+ - adjoint
+ - antidiagonal
+ - cofactors
+ - determinant
+ - diagonal
+ - identity
+ - inverse
+ - minors
+ - trace
+ - transpose
+
+
+## TO DO
+
+ - power()
+ - EigenValues
+ - EigenVectors
+ - Decomposition
+
+---
+
+# Usage
+
+To create a new Matrix object, provide an array as the constructor argument
+
+```
+$grid = [
+    [16,  3,  2, 13],
+    [ 5, 10, 11,  8],
+    [ 9,  6,  7, 12],
+    [ 4, 15, 14,  1],
+];
+
+$matrix = new Matrix\Matrix($grid);
+```
+The `Builder` class provides helper methods for creating specific matrices, specifically an identity matrix of a specified size; or a matrix of a specified dimensions, with every cell containing a set value.
+```
+$matrix = new Matrix\Builder::createFilledMatrix(1, 5, 3);
+```
+Will create a matrix of 5 rows and 3 columns, filled with a `1` in every cell; while
+```
+$matrix = new Matrix\Builder::createIdentityMatrix(3);
+```
+will create a 3x3 identity matrix.
+
+
+Matrix objects are immutable: whenever you call a method or pass a grid to a function that returns a matrix value, a new Matrix object will be returned, and the original will remain unchanged. This also allows you to chain multiple methods as you would for a fluent interface (as long as they are methods that will return a Matrix result).
+
+## Performing Mathematical Operations
+
+To perform mathematical operations with Matrices, you can call the appropriate method against a matrix value, passing other values as arguments
+
+```
+$matrix1 = new Matrix([
+    [2, 7, 6],
+    [9, 5, 1],
+    [4, 3, 8],
+]);
+$matrix2 = new Matrix([
+    [1, 2, 3],
+    [4, 5, 6],
+    [7, 8, 9],
+]);
+
+echo $matrix1->multiply($matrix2);
+```
+or pass all values to the appropriate function
+```
+$matrix1 = new Matrix([
+    [2, 7, 6],
+    [9, 5, 1],
+    [4, 3, 8],
+]);
+$matrix2 = new Matrix([
+    [1, 2, 3],
+    [4, 5, 6],
+    [7, 8, 9],
+]);
+
+echo Matrix\multiply($matrix1, $matrix2);
+```
+You can pass in the arguments as Matrix objects, or as arrays.
+
+If you want to perform the same operation against multiple values (e.g. to add three or more matrices), then you can pass multiple arguments to any of the operations.
+
+## Using functions
+
+When calling any of the available functions for a matrix value, you can either call the relevant method for the Matrix object
+```
+$grid = [
+    [16,  3,  2, 13],
+    [ 5, 10, 11,  8],
+    [ 9,  6,  7, 12],
+    [ 4, 15, 14,  1],
+];
+
+$matrix = new Matrix\Matrix($grid);
+
+echo $matrix->trace();
+```
+or you can call the function as you would in procedural code, passing the Matrix object as an argument 
+```
+$grid = [
+    [16,  3,  2, 13],
+    [ 5, 10, 11,  8],
+    [ 9,  6,  7, 12],
+    [ 4, 15, 14,  1],
+];
+
+$matrix = new Matrix\Matrix($grid);
+echo Matrix\trace($matrix);
+```
+When called procedurally using the function, you can pass in the argument as a Matrix object, or as an array.
+```
+$grid = [
+    [16,  3,  2, 13],
+    [ 5, 10, 11,  8],
+    [ 9,  6,  7, 12],
+    [ 4, 15, 14,  1],
+];
+
+echo Matrix\trace($grid);
+```
+As an alternative, it is also possible to call the method directly from the `Functions` class.
+```
+$grid = [
+    [16,  3,  2, 13],
+    [ 5, 10, 11,  8],
+    [ 9,  6,  7, 12],
+    [ 4, 15, 14,  1],
+];
+
+$matrix = new Matrix\Matrix($grid);
+echo Matrix\Functions::trace($matrix);
+```
+Used this way, methods must be called statically, and the argument must be the Matrix object, and cannot be an array.

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/buildPhar.php

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+<?php
+
+# required: PHP 5.3+ and zlib extension
+
+// ini option check
+if (ini_get('phar.readonly')) {
+    echo "php.ini: set the 'phar.readonly' option to 0 to enable phar creation\n";
+    exit(1);
+}
+
+// output name
+$pharName = 'Matrix.phar';
+
+// target folder
+$sourceDir = __DIR__ . DIRECTORY_SEPARATOR . 'classes' . DIRECTORY_SEPARATOR . 'src' . DIRECTORY_SEPARATOR;
+
+// default meta information
+$metaData = array(
+    'Author'      => 'Mark Baker <mark@lange.demon.co.uk>',
+    'Description' => 'PHP Class for working with Matrix numbers',
+    'Copyright'   => 'Mark Baker (c) 2013-' . date('Y'),
+    'Timestamp'   => time(),
+    'Version'     => '0.1.0',
+    'Date'        => date('Y-m-d')
+);
+
+// cleanup
+if (file_exists($pharName)) {
+    echo "Removed: {$pharName}\n";
+    unlink($pharName);
+}
+
+echo "Building phar file...\n";
+
+// the phar object
+$phar = new Phar($pharName, null, 'Matrix');
+$phar->buildFromDirectory($sourceDir);
+$phar->setStub(
+<<<'EOT'
+<?php
+    spl_autoload_register(function ($className) {
+        include 'phar://' . $className . '.php';
+    });
+
+    try {
+        Phar::mapPhar();
+    } catch (PharException $e) {
+        error_log($e->getMessage());
+        exit(1);
+    }
+
+    include 'phar://functions/sqrt.php';
+
+    __HALT_COMPILER();
+EOT
+);
+$phar->setMetadata($metaData);
+$phar->compressFiles(Phar::GZ);
+
+echo "Complete.\n";
+
+exit();

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/Autoloader.php

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+<?php
+
+namespace Matrix;
+
+/**
+ *
+ * Autoloader for Matrix classes
+ *
+ * @package Matrix
+ * @copyright  Copyright (c) 2014 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT          MIT
+ */
+class Autoloader
+{
+    /**
+     * Register the Autoloader with SPL
+     *
+     */
+    public static function Register()
+    {
+        if (function_exists('__autoload')) {
+            //    Register any existing autoloader function with SPL, so we don't get any clashes
+            spl_autoload_register('__autoload');
+        }
+        //    Register ourselves with SPL
+        return spl_autoload_register(['Matrix\\Autoloader', 'Load']);
+    }
+
+
+    /**
+     * Autoload a class identified by name
+     *
+     * @param    string    $pClassName    Name of the object to load
+     */
+    public static function Load($pClassName)
+    {
+        if ((class_exists($pClassName, false)) || (strpos($pClassName, 'Matrix\\') !== 0)) {
+            // Either already loaded, or not a Matrix class request
+            return false;
+        }
+
+        $pClassFilePath = __DIR__ . DIRECTORY_SEPARATOR .
+                          'src' . DIRECTORY_SEPARATOR .
+                          str_replace(['Matrix\\', '\\'], ['', '/'], $pClassName) .
+                          '.php';
+
+        if ((file_exists($pClassFilePath) === false) || (is_readable($pClassFilePath) === false)) {
+            // Can't load
+            return false;
+        }
+        require($pClassFilePath);
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/Bootstrap.php

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+<?php
+
+include_once __DIR__ . '/Autoloader.php';
+
+\Matrix\Autoloader::Register();
+
+
+abstract class FilesystemRegexFilter extends RecursiveRegexIterator
+{
+    protected $regex;
+    public function __construct(RecursiveIterator $it, $regex)
+    {
+        $this->regex = $regex;
+        parent::__construct($it, $regex);
+    }
+}
+
+class FilenameFilter extends FilesystemRegexFilter
+{
+    // Filter files against the regex
+    public function accept()
+    {
+        return (!$this->isFile() || preg_match($this->regex, $this->getFilename()));
+    }
+}
+
+
+$srcFolder = __DIR__ . DIRECTORY_SEPARATOR . 'src';
+$srcDirectory = new RecursiveDirectoryIterator($srcFolder);
+
+$filteredFileList = new FilenameFilter($srcDirectory, '/(?:php)$/i');
+$filteredFileList = new FilenameFilter($filteredFileList, '/^(?!.*(Matrix|Exception)\.php).*$/i');
+
+foreach (new RecursiveIteratorIterator($filteredFileList) as $file) {
+    if ($file->isFile()) {
+        include_once $file;
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Builder.php

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+<?php
+
+/**
+ *
+ * Class for the creating "special" Matrices
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Matrix Builder class.
+ *
+ * @package Matrix
+ */
+class Builder
+{
+    /**
+     * Create a new matrix of specified dimensions, and filled with a specified value
+     * If the column argument isn't provided, then a square matrix will be created
+     *
+     * @param mixed $value
+     * @param int $rows
+     * @param int|null $columns
+     * @return Matrix
+     * @throws Exception
+     */
+    public static function createFilledMatrix($value, $rows, $columns = null)
+    {
+        if ($columns === null) {
+            $columns = $rows;
+        }
+
+        $rows = Matrix::validateRow($rows);
+        $columns = Matrix::validateColumn($columns);
+
+        return new Matrix(
+            array_fill(
+                0,
+                $rows,
+                array_fill(
+                    0,
+                    $columns,
+                    $value
+                )
+            )
+        );
+    }
+
+    /**
+     * Create a new identity matrix of specified dimensions
+     * This will always be a square matrix, with the number of rows and columns matching the provided dimension
+     *
+     * @param int $dimensions
+     * @return Matrix
+     * @throws Exception
+     */
+    public static function createIdentityMatrix($dimensions)
+    {
+        $grid = static::createFilledMatrix(null, $dimensions)->toArray();
+
+        for ($x = 0; $x < $dimensions; ++$x) {
+            $grid[$x][$x] = 1;
+        }
+
+        return new Matrix($grid);
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Exception.php

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+<?php
+
+/**
+ * Exception.
+ *
+ * @copyright  Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+namespace Matrix;
+
+class Exception extends \Exception
+{
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Functions.php

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+<?php
+
+namespace Matrix;
+
+class Functions
+{
+    /**
+     * Calculate the adjoint of the matrix
+     *
+     * @param Matrix $matrix The matrix whose adjoint we wish to calculate
+     * @return Matrix
+     *
+     * @throws Exception
+     */
+    private static function getAdjoint(Matrix $matrix)
+    {
+        return self::transpose(
+            self::getCofactors($matrix)
+        );
+    }
+
+    /**
+     * Return the adjoint of this matrix
+     * The adjugate, classical adjoint, or adjunct of a square matrix is the transpose of its cofactor matrix.
+     * The adjugate has sometimes been called the "adjoint", but today the "adjoint" of a matrix normally refers
+     *     to its corresponding adjoint operator, which is its conjugate transpose.
+     *
+     * @param Matrix $matrix The matrix whose adjoint we wish to calculate
+     * @return Matrix
+     * @throws Exception
+     **/
+    public static function adjoint(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Adjoint can only be calculated for a square matrix');
+        }
+
+        return self::getAdjoint($matrix);
+    }
+
+    /**
+     * Calculate the cofactors of the matrix
+     *
+     * @param Matrix $matrix The matrix whose cofactors we wish to calculate
+     * @return Matrix
+     *
+     * @throws Exception
+     */
+    private static function getCofactors(Matrix $matrix)
+    {
+        $cofactors = self::getMinors($matrix);
+        $dimensions = $matrix->rows;
+
+        $cof = 1;
+        for ($i = 0; $i < $dimensions; ++$i) {
+            $cofs = $cof;
+            for ($j = 0; $j < $dimensions; ++$j) {
+                $cofactors[$i][$j] *= $cofs;
+                $cofs = -$cofs;
+            }
+            $cof = -$cof;
+        }
+
+        return new Matrix($cofactors);
+    }
+
+    /**
+     * Return the cofactors of this matrix
+     *
+     * @param Matrix $matrix The matrix whose cofactors we wish to calculate
+     * @return Matrix
+     *
+     * @throws Exception
+     */
+    public static function cofactors(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Cofactors can only be calculated for a square matrix');
+        }
+
+        return self::getCofactors($matrix);
+    }
+
+    /**
+     * @param Matrix $matrix
+     * @param int $row
+     * @param int $column
+     * @return float
+     * @throws Exception
+     */
+    private static function getDeterminantSegment(Matrix $matrix, $row, $column)
+    {
+        $tmpMatrix = $matrix->toArray();
+        unset($tmpMatrix[$row]);
+        array_walk(
+            $tmpMatrix,
+            function (&$row) use ($column) {
+                unset($row[$column]);
+            }
+        );
+
+        return self::getDeterminant(new Matrix($tmpMatrix));
+    }
+
+    /**
+     * Calculate the determinant of the matrix
+     *
+     * @param Matrix $matrix The matrix whose determinant we wish to calculate
+     * @return float
+     *
+     * @throws Exception
+     */
+    private static function getDeterminant(Matrix $matrix)
+    {
+        $dimensions = $matrix->rows;
+        $determinant = 0;
+
+        switch ($dimensions) {
+            case 1:
+                $determinant = $matrix->getValue(1, 1);
+                break;
+            case 2:
+                $determinant = $matrix->getValue(1, 1) * $matrix->getValue(2, 2) -
+                    $matrix->getValue(1, 2) * $matrix->getValue(2, 1);
+                break;
+            default:
+                for ($i = 1; $i <= $dimensions; ++$i) {
+                    $det = $matrix->getValue(1, $i) * self::getDeterminantSegment($matrix, 0, $i - 1);
+                    if (($i % 2) == 0) {
+                        $determinant -= $det;
+                    } else {
+                        $determinant += $det;
+                    }
+                }
+                break;
+        }
+
+        return $determinant;
+    }
+
+    /**
+     * Return the determinant of this matrix
+     *
+     * @param Matrix $matrix The matrix whose determinant we wish to calculate
+     * @return float
+     * @throws Exception
+     **/
+    public static function determinant(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Determinant can only be calculated for a square matrix');
+        }
+
+        return self::getDeterminant($matrix);
+    }
+
+    /**
+     * Return the diagonal of this matrix
+     *
+     * @param Matrix $matrix The matrix whose diagonal we wish to calculate
+     * @return Matrix
+     * @throws Exception
+     **/
+    public static function diagonal(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Diagonal can only be extracted from a square matrix');
+        }
+
+        $dimensions = $matrix->rows;
+        $grid = Builder::createFilledMatrix(0, $dimensions, $dimensions)
+            ->toArray();
+
+        for ($i = 0; $i < $dimensions; ++$i) {
+            $grid[$i][$i] = $matrix->getValue($i + 1, $i + 1);
+        }
+
+        return new Matrix($grid);
+    }
+
+    /**
+     * Return the antidiagonal of this matrix
+     *
+     * @param Matrix $matrix The matrix whose antidiagonal we wish to calculate
+     * @return Matrix
+     * @throws Exception
+     **/
+    public static function antidiagonal(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Anti-Diagonal can only be extracted from a square matrix');
+        }
+
+        $dimensions = $matrix->rows;
+        $grid = Builder::createFilledMatrix(0, $dimensions, $dimensions)
+            ->toArray();
+
+        for ($i = 0; $i < $dimensions; ++$i) {
+            $grid[$i][$dimensions - $i - 1] = $matrix->getValue($i + 1, $dimensions - $i);
+        }
+
+        return new Matrix($grid);
+    }
+
+    /**
+     * Return the identity matrix
+     * The identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix
+     *   with ones on the main diagonal and zeros elsewhere
+     *
+     * @param Matrix $matrix The matrix whose identity we wish to calculate
+     * @return Matrix
+     * @throws Exception
+     **/
+    public static function identity(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Identity can only be created for a square matrix');
+        }
+
+        $dimensions = $matrix->rows;
+
+        return Builder::createIdentityMatrix($dimensions);
+    }
+
+    /**
+     * Return the inverse of this matrix
+     *
+     * @param Matrix $matrix The matrix whose inverse we wish to calculate
+     * @return Matrix
+     * @throws Exception
+     **/
+    public static function inverse(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Inverse can only be calculated for a square matrix');
+        }
+
+        $determinant = self::getDeterminant($matrix);
+        if ($determinant == 0.0) {
+            throw new Exception('Inverse can only be calculated for a matrix with a non-zero determinant');
+        }
+
+        if ($matrix->rows == 1) {
+            return new Matrix([[1 / $matrix->getValue(1, 1)]]);
+        }
+
+        return self::getAdjoint($matrix)
+            ->multiply(1 / $determinant);
+    }
+
+    /**
+     * Calculate the minors of the matrix
+     *
+     * @param Matrix $matrix The matrix whose minors we wish to calculate
+     * @return array[]
+     *
+     * @throws Exception
+     */
+    protected static function getMinors(Matrix $matrix)
+    {
+        $minors = $matrix->toArray();
+        $dimensions = $matrix->rows;
+        if ($dimensions == 1) {
+            return $minors;
+        }
+
+        for ($i = 0; $i < $dimensions; ++$i) {
+            for ($j = 0; $j < $dimensions; ++$j) {
+                $minors[$i][$j] = self::getDeterminantSegment($matrix, $i, $j);
+            }
+        }
+
+        return $minors;
+    }
+
+    /**
+     * Return the minors of the matrix
+     * The minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or
+     *     more of its rows or columns.
+     * Minors obtained by removing just one row and one column from square matrices (first minors) are required for
+     *     calculating matrix cofactors, which in turn are useful for computing both the determinant and inverse of
+     *     square matrices.
+     *
+     * @param Matrix $matrix The matrix whose minors we wish to calculate
+     * @return Matrix
+     * @throws Exception
+     **/
+    public static function minors(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Minors can only be calculated for a square matrix');
+        }
+
+        return new Matrix(self::getMinors($matrix));
+    }
+
+    /**
+     * Return the trace of this matrix
+     * The trace is defined as the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right)
+     *     of the matrix
+     *
+     * @param Matrix $matrix The matrix whose trace we wish to calculate
+     * @return float
+     * @throws Exception
+     **/
+    public static function trace(Matrix $matrix)
+    {
+        if (!$matrix->isSquare()) {
+            throw new Exception('Trace can only be extracted from a square matrix');
+        }
+
+        $dimensions = $matrix->rows;
+        $result = 0;
+        for ($i = 1; $i <= $dimensions; ++$i) {
+            $result += $matrix->getValue($i, $i);
+        }
+
+        return $result;
+    }
+
+    /**
+     * Return the transpose of this matrix
+     *
+     * @param Matrix $matrix The matrix whose transpose we wish to calculate
+     * @return Matrix
+     **/
+    public static function transpose(Matrix $matrix)
+    {
+        $array = array_values(array_merge([null], $matrix->toArray()));
+        $grid = call_user_func_array(
+            'array_map',
+            $array
+        );
+
+        return new Matrix($grid);
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Matrix.php

@@ -0,0 +1,400 @@
+<?php
+
+/**
+ *
+ * Class for the management of Matrices
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Matrix object.
+ *
+ * @package Matrix
+ *
+ * @property-read int $rows The number of rows in the matrix
+ * @property-read int $columns The number of columns in the matrix
+ * @method Matrix antidiagonal()
+ * @method Matrix adjoint()
+ * @method Matrix cofactors()
+ * @method float determinant()
+ * @method Matrix diagonal()
+ * @method Matrix identity()
+ * @method Matrix inverse()
+ * @method Matrix pseudoInverse()
+ * @method Matrix minors()
+ * @method float trace()
+ * @method Matrix transpose()
+ * @method Matrix add(...$matrices)
+ * @method Matrix subtract(...$matrices)
+ * @method Matrix multiply(...$matrices)
+ * @method Matrix divideby(...$matrices)
+ * @method Matrix divideinto(...$matrices)
+ */
+class Matrix
+{
+    protected $rows;
+    protected $columns;
+    protected $grid = [];
+
+    /*
+     * Create a new Matrix object from an array of values
+     *
+     * @param array $grid
+     */
+    final public function __construct(array $grid)
+    {
+        $this->buildFromArray(array_values($grid));
+    }
+
+    /*
+     * Create a new Matrix object from an array of values
+     *
+     * @param array $grid
+     */
+    protected function buildFromArray(array $grid)
+    {
+        $this->rows = count($grid);
+        $columns = array_reduce(
+            $grid,
+            function ($carry, $value) {
+                return max($carry, is_array($value) ? count($value) : 1);
+            }
+        );
+        $this->columns = $columns;
+
+        array_walk(
+            $grid,
+            function (&$value) use ($columns) {
+                if (!is_array($value)) {
+                    $value = [$value];
+                }
+                $value = array_pad(array_values($value), $columns, null);
+            }
+        );
+
+        $this->grid = $grid;
+    }
+
+    /**
+     * Validate that a row number is a positive integer
+     *
+     * @param int $row
+     * @return int
+     * @throws Exception
+     */
+    public static function validateRow($row)
+    {
+        if ((!is_numeric($row)) || (intval($row) < 1)) {
+            throw new Exception('Invalid Row');
+        }
+
+        return (int)$row;
+    }
+
+    /**
+     * Validate that a column number is a positive integer
+     *
+     * @param int $column
+     * @return int
+     * @throws Exception
+     */
+    public static function validateColumn($column)
+    {
+        if ((!is_numeric($column)) || (intval($column) < 1)) {
+            throw new Exception('Invalid Column');
+        }
+
+        return (int)$column;
+    }
+
+    /**
+     * Validate that a row number falls within the set of rows for this matrix
+     *
+     * @param int $row
+     * @return int
+     * @throws Exception
+     */
+    protected function validateRowInRange($row)
+    {
+        $row = static::validateRow($row);
+        if ($row > $this->rows) {
+            throw new Exception('Requested Row exceeds matrix size');
+        }
+
+        return $row;
+    }
+
+    /**
+     * Validate that a column number falls within the set of columns for this matrix
+     *
+     * @param int $column
+     * @return int
+     * @throws Exception
+     */
+    protected function validateColumnInRange($column)
+    {
+        $column = static::validateColumn($column);
+        if ($column > $this->columns) {
+            throw new Exception('Requested Column exceeds matrix size');
+        }
+
+        return $column;
+    }
+
+    /**
+     * Return a new matrix as a subset of rows from this matrix, starting at row number $row, and $rowCount rows
+     * A $rowCount value of 0 will return all rows of the matrix from $row
+     * A negative $rowCount value will return rows until that many rows from the end of the matrix
+     *
+     * Note that row numbers start from 1, not from 0
+     *
+     * @param int $row
+     * @param int $rowCount
+     * @return static
+     * @throws Exception
+     */
+    public function getRows($row, $rowCount = 1)
+    {
+        $row = $this->validateRowInRange($row);
+        if ($rowCount === 0) {
+            $rowCount = $this->rows - $row + 1;
+        }
+
+        return new static(array_slice($this->grid, $row - 1, (int)$rowCount));
+    }
+
+    /**
+     * Return a new matrix as a subset of columns from this matrix, starting at column number $column, and $columnCount columns
+     * A $columnCount value of 0 will return all columns of the matrix from $column
+     * A negative $columnCount value will return columns until that many columns from the end of the matrix
+     *
+     * Note that column numbers start from 1, not from 0
+     *
+     * @param int $column
+     * @param int $columnCount
+     * @return Matrix
+     * @throws Exception
+     */
+    public function getColumns($column, $columnCount = 1)
+    {
+        $column = $this->validateColumnInRange($column);
+        if ($columnCount < 1) {
+            $columnCount = $this->columns + $columnCount - $column + 1;
+        }
+
+        $grid = [];
+        for ($i = $column - 1; $i < $column + $columnCount - 1; ++$i) {
+            $grid[] = array_column($this->grid, $i);
+        }
+
+        return (new static($grid))->transpose();
+    }
+
+    /**
+     * Return a new matrix as a subset of rows from this matrix, dropping rows starting at row number $row,
+     *     and $rowCount rows
+     * A negative $rowCount value will drop rows until that many rows from the end of the matrix
+     * A $rowCount value of 0 will remove all rows of the matrix from $row
+     *
+     * Note that row numbers start from 1, not from 0
+     *
+     * @param int $row
+     * @param int $rowCount
+     * @return static
+     * @throws Exception
+     */
+    public function dropRows($row, $rowCount = 1)
+    {
+        $this->validateRowInRange($row);
+        if ($rowCount === 0) {
+            $rowCount = $this->rows - $row + 1;
+        }
+
+        $grid = $this->grid;
+        array_splice($grid, $row - 1, (int)$rowCount);
+
+        return new static($grid);
+    }
+
+    /**
+     * Return a new matrix as a subset of columns from this matrix, dropping columns starting at column number $column,
+     *     and $columnCount columns
+     * A negative $columnCount value will drop columns until that many columns from the end of the matrix
+     * A $columnCount value of 0 will remove all columns of the matrix from $column
+     *
+     * Note that column numbers start from 1, not from 0
+     *
+     * @param int $column
+     * @param int $columnCount
+     * @return static
+     * @throws Exception
+     */
+    public function dropColumns($column, $columnCount = 1)
+    {
+        $this->validateColumnInRange($column);
+        if ($columnCount < 1) {
+            $columnCount = $this->columns + $columnCount - $column + 1;
+        }
+
+        $grid = $this->grid;
+        array_walk(
+            $grid,
+            function (&$row) use ($column, $columnCount) {
+                array_splice($row, $column - 1, (int)$columnCount);
+            }
+        );
+
+        return new static($grid);
+    }
+
+    /**
+     * Return a value from this matrix, from the "cell" identified by the row and column numbers
+     * Note that row and column numbers start from 1, not from 0
+     *
+     * @param int $row
+     * @param int $column
+     * @return mixed
+     * @throws Exception
+     */
+    public function getValue($row, $column)
+    {
+        $row = $this->validateRowInRange($row);
+        $column = $this->validateColumnInRange($column);
+
+        return $this->grid[$row - 1][$column - 1];
+    }
+
+    /**
+     * Returns a Generator that will yield each row of the matrix in turn as a vector matrix
+     *     or the value of each cell if the matrix is a vector
+     *
+     * @return \Generator|Matrix[]|mixed[]
+     */
+    public function rows()
+    {
+        foreach ($this->grid as $i => $row) {
+            yield $i + 1 => ($this->columns == 1)
+                ? $row[0]
+                : new static([$row]);
+        }
+    }
+
+    /**
+     * Returns a Generator that will yield each column of the matrix in turn as a vector matrix
+     *     or the value of each cell if the matrix is a vector
+     *
+     * @return \Generator|Matrix[]|mixed[]
+     */
+    public function columns()
+    {
+        for ($i = 0; $i < $this->columns; ++$i) {
+            yield $i + 1 => ($this->rows == 1)
+                ? $this->grid[0][$i]
+                : new static(array_column($this->grid, $i));
+        }
+    }
+
+    /**
+     * Identify if the row and column dimensions of this matrix are equal,
+     *     i.e. if it is a "square" matrix
+     *
+     * @return bool
+     */
+    public function isSquare()
+    {
+        return $this->rows == $this->columns;
+    }
+
+    /**
+     * Identify if this matrix is a vector
+     *     i.e. if it comprises only a single row or a single column
+     *
+     * @return bool
+     */
+    public function isVector()
+    {
+        return $this->rows == 1 || $this->columns == 1;
+    }
+
+    /**
+     * Return the matrix as a 2-dimensional array
+     *
+     * @return array
+     */
+    public function toArray()
+    {
+        return $this->grid;
+    }
+
+    protected static $getters = [
+        'rows',
+        'columns',
+    ];
+
+    /**
+     * Access specific properties as read-only (no setters)
+     *
+     * @param string $propertyName
+     * @return mixed
+     * @throws Exception
+     */
+    public function __get($propertyName)
+    {
+        $propertyName = strtolower($propertyName);
+
+        // Test for function calls
+        if (in_array($propertyName, self::$getters)) {
+            return $this->$propertyName;
+        }
+
+        throw new Exception('Property does not exist');
+    }
+
+    protected static $functions = [
+        'antidiagonal',
+        'adjoint',
+        'cofactors',
+        'determinant',
+        'diagonal',
+        'identity',
+        'inverse',
+        'minors',
+        'trace',
+        'transpose',
+    ];
+
+    protected static $operations = [
+        'add',
+        'subtract',
+        'multiply',
+        'divideby',
+        'divideinto',
+        'directsum',
+    ];
+
+    /**
+     * Returns the result of the function call or operation
+     *
+     * @param string $functionName
+     * @param mixed[] $arguments
+     * @return Matrix|float
+     * @throws Exception
+     */
+    public function __call($functionName, $arguments)
+    {
+        $functionName = strtolower(str_replace('_', '', $functionName));
+
+        if (in_array($functionName, self::$functions) || in_array($functionName, self::$operations)) {
+            $functionName = "\\" . __NAMESPACE__ . "\\{$functionName}";
+            if (is_callable($functionName)) {
+                $arguments = array_values(array_merge([$this], $arguments));
+                return call_user_func_array($functionName, $arguments);
+            }
+        }
+        throw new Exception('Function or Operation does not exist');
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Operators/Addition.php

@@ -0,0 +1,68 @@
+<?php
+
+namespace Matrix\Operators;
+
+use Matrix\Matrix;
+use Matrix\Exception;
+
+class Addition extends Operator
+{
+    /**
+     * Execute the addition
+     *
+     * @param mixed $value The matrix or numeric value to add to the current base value
+     * @throws Exception If the provided argument is not appropriate for the operation
+     * @return $this The operation object, allowing multiple additions to be chained
+     **/
+    public function execute($value)
+    {
+        if (is_array($value)) {
+            $value = new Matrix($value);
+        }
+
+        if (is_object($value) && ($value instanceof Matrix)) {
+            return $this->addMatrix($value);
+        } elseif (is_numeric($value)) {
+            return $this->addScalar($value);
+        }
+
+        throw new Exception('Invalid argument for addition');
+    }
+
+    /**
+     * Execute the addition for a scalar
+     *
+     * @param mixed $value The numeric value to add to the current base value
+     * @return $this The operation object, allowing multiple additions to be chained
+     **/
+    protected function addScalar($value)
+    {
+        for ($row = 0; $row < $this->rows; ++$row) {
+            for ($column = 0; $column < $this->columns; ++$column) {
+                $this->matrix[$row][$column] += $value;
+            }
+        }
+
+        return $this;
+    }
+
+    /**
+     * Execute the addition for a matrix
+     *
+     * @param Matrix $value The numeric value to add to the current base value
+     * @return $this The operation object, allowing multiple additions to be chained
+     * @throws Exception If the provided argument is not appropriate for the operation
+     **/
+    protected function addMatrix(Matrix $value)
+    {
+        $this->validateMatchingDimensions($value);
+
+        for ($row = 0; $row < $this->rows; ++$row) {
+            for ($column = 0; $column < $this->columns; ++$column) {
+                $this->matrix[$row][$column] += $value->getValue($row + 1, $column + 1);
+            }
+        }
+
+        return $this;
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Operators/DirectSum.php

@@ -0,0 +1,64 @@
+<?php
+
+namespace Matrix\Operators;
+
+use Matrix\Matrix;
+use Matrix\Exception;
+
+class DirectSum extends Operator
+{
+    /**
+     * Execute the addition
+     *
+     * @param mixed $value The matrix or numeric value to add to the current base value
+     * @return $this The operation object, allowing multiple additions to be chained
+     * @throws Exception If the provided argument is not appropriate for the operation
+     */
+    public function execute($value)
+    {
+        if (is_array($value)) {
+            $value = new Matrix($value);
+        }
+
+        if ($value instanceof Matrix) {
+            return $this->directSumMatrix($value);
+        }
+
+        throw new Exception('Invalid argument for addition');
+    }
+
+    /**
+     * Execute the direct sum for a matrix
+     *
+     * @param Matrix $value The numeric value to concatenate/direct sum with the current base value
+     * @return $this The operation object, allowing multiple additions to be chained
+     **/
+    private function directSumMatrix($value)
+    {
+        $originalColumnCount = count($this->matrix[0]);
+        $originalRowCount = count($this->matrix);
+        $valColumnCount = $value->columns;
+        $valRowCount = $value->rows;
+        $value = $value->toArray();
+
+        for ($row = 0; $row < $this->rows; ++$row) {
+            $this->matrix[$row] = array_merge($this->matrix[$row], array_fill(0, $valColumnCount, 0));
+        }
+
+        $this->matrix = array_merge(
+            $this->matrix,
+            array_fill(0, $valRowCount, array_fill(0, $originalColumnCount, 0))
+        );
+
+        for ($row = $originalRowCount; $row < $originalRowCount + $valRowCount; ++$row) {
+            array_splice(
+                $this->matrix[$row],
+                $originalColumnCount,
+                $valColumnCount,
+                $value[$row - $originalRowCount]
+            );
+        }
+
+        return $this;
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Operators/Division.php

@@ -0,0 +1,38 @@
+<?php
+
+namespace Matrix\Operators;
+
+use \Matrix\Matrix;
+use \Matrix\Functions;
+use Matrix\Exception;
+
+class Division extends Multiplication
+{
+    /**
+     * Execute the division
+     *
+     * @param mixed $value The matrix or numeric value to divide the current base value by
+     * @throws Exception If the provided argument is not appropriate for the operation
+     * @return $this The operation object, allowing multiple divisions to be chained
+     **/
+    public function execute($value)
+    {
+        if (is_array($value)) {
+            $value = new Matrix($value);
+        }
+
+        if (is_object($value) && ($value instanceof Matrix)) {
+            try {
+                $value = Functions::inverse($value);
+            } catch (Exception $e) {
+                throw new Exception('Division can only be calculated using a matrix with a non-zero determinant');
+            }
+
+            return $this->multiplyMatrix($value);
+        } elseif (is_numeric($value)) {
+            return $this->multiplyScalar(1 / $value);
+        }
+
+        throw new Exception('Invalid argument for division');
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Operators/Multiplication.php

@@ -0,0 +1,77 @@
+<?php
+
+namespace Matrix\Operators;
+
+use Matrix\Matrix;
+use \Matrix\Builder;
+use Matrix\Exception;
+
+class Multiplication extends Operator
+{
+    /**
+     * Execute the multiplication
+     *
+     * @param mixed $value The matrix or numeric value to multiply the current base value by
+     * @throws Exception If the provided argument is not appropriate for the operation
+     * @return $this The operation object, allowing multiple multiplications to be chained
+     **/
+    public function execute($value)
+    {
+        if (is_array($value)) {
+            $value = new Matrix($value);
+        }
+
+        if (is_object($value) && ($value instanceof Matrix)) {
+            return $this->multiplyMatrix($value);
+        } elseif (is_numeric($value)) {
+            return $this->multiplyScalar($value);
+        }
+
+        throw new Exception('Invalid argument for multiplication');
+    }
+
+    /**
+     * Execute the multiplication for a scalar
+     *
+     * @param mixed $value The numeric value to multiply with the current base value
+     * @return $this The operation object, allowing multiple mutiplications to be chained
+     **/
+    protected function multiplyScalar($value)
+    {
+        for ($row = 0; $row < $this->rows; ++$row) {
+            for ($column = 0; $column < $this->columns; ++$column) {
+                $this->matrix[$row][$column] *= $value;
+            }
+        }
+
+        return $this;
+    }
+
+    /**
+     * Execute the multiplication for a matrix
+     *
+     * @param Matrix $value The numeric value to multiply with the current base value
+     * @return $this The operation object, allowing multiple mutiplications to be chained
+     * @throws Exception If the provided argument is not appropriate for the operation
+     **/
+    protected function multiplyMatrix(Matrix $value)
+    {
+        $this->validateReflectingDimensions($value);
+
+        $newRows = $this->rows;
+        $newColumns = $value->columns;
+        $matrix = Builder::createFilledMatrix(0, $newRows, $newColumns)
+            ->toArray();
+        for ($row = 0; $row < $newRows; ++$row) {
+            for ($column = 0; $column < $newColumns; ++$column) {
+                $columnData = $value->getColumns($column + 1)->toArray();
+                foreach ($this->matrix[$row] as $key => $valueData) {
+                    $matrix[$row][$column] += $valueData * $columnData[$key][0];
+                }
+            }
+        }
+        $this->matrix = $matrix;
+
+        return $this;
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Operators/Operator.php

@@ -0,0 +1,78 @@
+<?php
+
+namespace Matrix\Operators;
+
+use Matrix\Matrix;
+use Matrix\Exception;
+
+abstract class Operator
+{
+    /**
+     * Stored internally as a 2-dimension array of values
+     *
+     * @property mixed[][] $matrix
+     **/
+    protected $matrix;
+
+    /**
+     * Number of rows in the matrix
+     *
+     * @property integer $rows
+     **/
+    protected $rows;
+
+    /**
+     * Number of columns in the matrix
+     *
+     * @property integer $columns
+     **/
+    protected $columns;
+
+    /**
+     * Create an new handler object for the operation
+     *
+     * @param Matrix $matrix The base Matrix object on which the operation will be performed
+     */
+    public function __construct(Matrix $matrix)
+    {
+        $this->rows = $matrix->rows;
+        $this->columns = $matrix->columns;
+        $this->matrix = $matrix->toArray();
+    }
+
+    /**
+     * Compare the dimensions of the matrices being operated on to see if they are valid for addition/subtraction
+     *
+     * @param Matrix $matrix The second Matrix object on which the operation will be performed
+     * @throws Exception
+     */
+    protected function validateMatchingDimensions(Matrix $matrix)
+    {
+        if (($this->rows != $matrix->rows) || ($this->columns != $matrix->columns)) {
+            throw new Exception('Matrices have mismatched dimensions');
+        }
+    }
+
+    /**
+     * Compare the dimensions of the matrices being operated on to see if they are valid for multiplication/division
+     *
+     * @param Matrix $matrix The second Matrix object on which the operation will be performed
+     * @throws Exception
+     */
+    protected function validateReflectingDimensions(Matrix $matrix)
+    {
+        if ($this->columns != $matrix->rows) {
+            throw new Exception('Matrices have mismatched dimensions');
+        }
+    }
+
+    /**
+     * Return the result of the operation
+     *
+     * @return Matrix
+     */
+    public function result()
+    {
+        return new Matrix($this->matrix);
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/Operators/Subtraction.php

@@ -0,0 +1,68 @@
+<?php
+
+namespace Matrix\Operators;
+
+use Matrix\Matrix;
+use Matrix\Exception;
+
+class Subtraction extends Operator
+{
+    /**
+     * Execute the subtraction
+     *
+     * @param mixed $value The matrix or numeric value to subtract from the current base value
+     * @throws Exception If the provided argument is not appropriate for the operation
+     * @return $this The operation object, allowing multiple subtractions to be chained
+     **/
+    public function execute($value)
+    {
+        if (is_array($value)) {
+            $value = new Matrix($value);
+        }
+
+        if (is_object($value) && ($value instanceof Matrix)) {
+            return $this->subtractMatrix($value);
+        } elseif (is_numeric($value)) {
+            return $this->subtractScalar($value);
+        }
+
+        throw new Exception('Invalid argument for subtraction');
+    }
+
+    /**
+     * Execute the subtraction for a scalar
+     *
+     * @param mixed $value The numeric value to subtracted from the current base value
+     * @return $this The operation object, allowing multiple additions to be chained
+     **/
+    protected function subtractScalar($value)
+    {
+        for ($row = 0; $row < $this->rows; ++$row) {
+            for ($column = 0; $column < $this->columns; ++$column) {
+                $this->matrix[$row][$column] -= $value;
+            }
+        }
+
+        return $this;
+    }
+
+    /**
+     * Execute the subtraction for a matrix
+     *
+     * @param Matrix $value The numeric value to subtract from the current base value
+     * @return $this The operation object, allowing multiple subtractions to be chained
+     * @throws Exception If the provided argument is not appropriate for the operation
+     **/
+    protected function subtractMatrix(Matrix $value)
+    {
+        $this->validateMatchingDimensions($value);
+
+        for ($row = 0; $row < $this->rows; ++$row) {
+            for ($column = 0; $column < $this->columns; ++$column) {
+                $this->matrix[$row][$column] -= $value->getValue($row + 1, $column + 1);
+            }
+        }
+
+        return $this;
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/adjoint.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix adjoint() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the adjoint of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return Matrix The new matrix
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function adjoint($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::adjoint($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/antidiagonal.php

@@ -0,0 +1,29 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix antidiagonal() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+namespace Matrix;
+
+/**
+ * Returns the antidiagonal of a matrix or an array.
+ *
+ * @param     Matrix|array     $matrix    Matrix or an array to treat as a matrix.
+ * @return    Matrix           The new matrix
+ * @throws    Exception        If argument isn't a valid matrix or array.
+ */
+function antidiagonal($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::antidiagonal($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/cofactors.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix cofactors() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the cofactors of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return Matrix The new matrix
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function cofactors($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::cofactors($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/determinant.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix determinant() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the determinant of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return float Matrix determinant
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function determinant($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::determinant($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/diagonal.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix diagonal() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the diagonal of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return Matrix The new matrix
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function diagonal($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::diagonal($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/identity.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix identity() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the identity of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return Matrix The identity matrix
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function identity($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::identity($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/inverse.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix inverse() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the inverse of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return Matrix The new matrix
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function inverse($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::inverse($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/minors.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix minors() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the minors of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return Matrix The new matrix
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function minors($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::minors($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/trace.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix trace() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the trace of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return float The trace of the matrix
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function trace($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::trace($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/functions/transpose.php

@@ -0,0 +1,30 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix transpose() function
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+/**
+ * Returns the transpose of a matrix or an array.
+ *
+ * @param Matrix|array $matrix Matrix or an array to treat as a matrix.
+ * @return Matrix The transposed matrix
+ * @throws Exception If argument isn't a valid matrix or array.
+ */
+function transpose($matrix)
+{
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Must be Matrix or array');
+    }
+
+    return Functions::transpose($matrix);
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/operations/add.php

@@ -0,0 +1,44 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix addition operation
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+use Matrix\Operators\Addition;
+
+/**
+ * Adds two or more matrices
+ *
+ * @param array<int, mixed> $matrixValues The matrices to add
+ * @return Matrix
+ * @throws Exception
+ */
+function add(...$matrixValues)
+{
+    if (count($matrixValues) < 2) {
+        throw new Exception('Addition operation requires at least 2 arguments');
+    }
+
+    $matrix = array_shift($matrixValues);
+
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Addition arguments must be Matrix or array');
+    }
+
+    $result = new Addition($matrix);
+
+    foreach ($matrixValues as $matrix) {
+        $result->execute($matrix);
+    }
+
+    return $result->result();
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/operations/directsum.php

@@ -0,0 +1,44 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix direct sum operation
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+use Matrix\Operators\DirectSum;
+
+/**
+ * Adds two or more matrices
+ *
+ * @param array<int, mixed> $matrixValues The matrices to add
+ * @return Matrix
+ * @throws Exception
+ */
+function directsum(...$matrixValues)
+{
+    if (count($matrixValues) < 2) {
+        throw new Exception('DirectSum operation requires at least 2 arguments');
+    }
+
+    $matrix = array_shift($matrixValues);
+
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('DirectSum arguments must be Matrix or array');
+    }
+
+    $result = new DirectSum($matrix);
+
+    foreach ($matrixValues as $matrix) {
+        $result->execute($matrix);
+    }
+
+    return $result->result();
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/operations/divideby.php

@@ -0,0 +1,44 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix division operation
+ *
+ * @copyright  Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+use Matrix\Operators\Division;
+
+/**
+ * Divides two or more matrix numbers
+ *
+ * @param array<int, mixed> $matrixValues The matrices to divide
+ * @return Matrix
+ * @throws Exception
+ */
+function divideby(...$matrixValues)
+{
+    if (count($matrixValues) < 2) {
+        throw new Exception('Division operation requires at least 2 arguments');
+    }
+
+    $matrix = array_shift($matrixValues);
+
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Division arguments must be Matrix or array');
+    }
+
+    $result = new Division($matrix);
+
+    foreach ($matrixValues as $matrix) {
+        $result->execute($matrix);
+    }
+
+    return $result->result();
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/operations/divideinto.php

@@ -0,0 +1,44 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix division operation
+ *
+ * @copyright  Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+use Matrix\Operators\Division;
+
+/**
+ * Divides two or more matrix numbers
+ *
+ * @param array<int, mixed> $matrixValues The numbers to divide
+ * @return Matrix
+ * @throws Exception
+ */
+function divideinto(...$matrixValues)
+{
+    if (count($matrixValues) < 2) {
+        throw new Exception('Division operation requires at least 2 arguments');
+    }
+
+    $matrix = array_shift($matrixValues);
+
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Division arguments must be Matrix or array');
+    }
+
+    $result = new Division($matrix);
+
+    foreach ($matrixValues as $matrix) {
+        $result->execute($matrix);
+    }
+
+    return $result->result();
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/operations/multiply.php

@@ -0,0 +1,44 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix multiplication operation
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+use Matrix\Operators\Multiplication;
+
+/**
+ * Multiplies two or more matrices
+ *
+ * @param array<int, mixed> $matrixValues The matrices to multiply
+ * @return Matrix
+ * @throws Exception
+ */
+function multiply(...$matrixValues)
+{
+    if (count($matrixValues) < 2) {
+        throw new Exception('Multiplication operation requires at least 2 arguments');
+    }
+
+    $matrix = array_shift($matrixValues);
+
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Multiplication arguments must be Matrix or array');
+    }
+
+    $result = new Multiplication($matrix);
+
+    foreach ($matrixValues as $matrix) {
+        $result->execute($matrix);
+    }
+
+    return $result->result();
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/classes/src/operations/subtract.php

@@ -0,0 +1,44 @@
+<?php
+
+/**
+ *
+ * Function code for the matrix subtraction operation
+ *
+ * @copyright  Copyright (c) 2018 Mark Baker (https://github.com/MarkBaker/PHPMatrix)
+ * @license    https://opensource.org/licenses/MIT    MIT
+ */
+
+namespace Matrix;
+
+use Matrix\Operators\Subtraction;
+
+/**
+ * Subtracts two or more matrices
+ *
+ * @param array<int, mixed> $matrixValues The matrices to subtract
+ * @return Matrix
+ * @throws Exception
+ */
+function subtract(...$matrixValues)
+{
+    if (count($matrixValues) < 2) {
+        throw new Exception('Subtraction operation requires at least 2 arguments');
+    }
+
+    $matrix = array_shift($matrixValues);
+
+    if (is_array($matrix)) {
+        $matrix = new Matrix($matrix);
+    }
+    if (!$matrix instanceof Matrix) {
+        throw new Exception('Subtraction arguments must be Matrix or array');
+    }
+
+    $result = new Subtraction($matrix);
+
+    foreach ($matrixValues as $matrix) {
+        $result->execute($matrix);
+    }
+
+    return $result->result();
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/composer.7.2.json

@@ -0,0 +1,86 @@
+{
+    "name": "markbaker/matrix",
+    "type": "library",
+    "description": "PHP Class for working with matrices",
+    "keywords": ["matrix", "vector", "mathematics"],
+    "homepage": "https://github.com/MarkBaker/PHPMatrix",
+    "license": "MIT",
+    "authors": [
+        {
+            "name": "Mark Baker",
+            "email": "mark@lange.demon.co.uk"
+        }
+    ],
+    "require": {
+        "php": "^7.2"
+    },
+    "require-dev": {
+        "phpunit/phpunit": "^8.4@dev",
+        "squizlabs/php_codesniffer": "^3.0@dev",
+        "phpmd/phpmd": "dev-master",
+        "infection/infection": "0.13.x-dev",
+        "phpstan/phpstan": "^0.12.0@dev",
+        "sebastian/phpcpd": "^4.1",
+        "phploc/phploc": "^5.0@dev",
+        "phpcompatibility/php-compatibility": "dev-master",
+        "dealerdirect/phpcodesniffer-composer-installer": "dev-master"
+    },
+    "autoload": {
+        "psr-4": {
+            "Matrix\\": "classes/src/"
+        },
+        "files": [
+            "classes/src/functions/adjoint.php",
+            "classes/src/functions/antidiagonal.php",
+            "classes/src/functions/cofactors.php",
+            "classes/src/functions/determinant.php",
+            "classes/src/functions/diagonal.php",
+            "classes/src/functions/identity.php",
+            "classes/src/functions/inverse.php",
+            "classes/src/functions/minors.php",
+            "classes/src/functions/trace.php",
+            "classes/src/functions/transpose.php",
+            "classes/src/operations/add.php",
+            "classes/src/operations/directsum.php",
+            "classes/src/operations/subtract.php",
+            "classes/src/operations/multiply.php",
+            "classes/src/operations/divideby.php",
+            "classes/src/operations/divideinto.php"
+        ]
+    },
+    "autoload-dev": {
+        "psr-4": {
+            "Matrix\\Test\\": "unitTests/classes/src/"
+        },
+        "files": [
+            "unitTests/classes/src/functions/adjointTest.php",
+            "unitTests/classes/src/functions/antidiagonalTest.php",
+            "unitTests/classes/src/functions/cofactorsTest.php",
+            "unitTests/classes/src/functions/determinantTest.php",
+            "unitTests/classes/src/functions/diagonalTest.php",
+            "unitTests/classes/src/functions/identityTest.php",
+            "unitTests/classes/src/functions/inverseTest.php",
+            "unitTests/classes/src/functions/minorsTest.php",
+            "unitTests/classes/src/functions/traceTest.php",
+            "unitTests/classes/src/functions/transposeTest.php",
+            "unitTests/classes/src/operations/addTest.php",
+            "unitTests/classes/src/operations/directsumTest.php",
+            "unitTests/classes/src/operations/subtractTest.php",
+            "unitTests/classes/src/operations/multiplyTest.php",
+            "unitTests/classes/src/operations/dividebyTest.php",
+            "unitTests/classes/src/operations/divideintoTest.php"
+        ]
+    },
+    "scripts": {
+        "style": "phpcs --report-width=200 --report=summary,full -n",
+        "test": "phpunit -c phpunit.xml.dist",
+        "mess": "phpmd classes/src/ xml codesize,unusedcode,design,naming -n",
+        "lines": "phploc classes/src/ -n",
+        "cpd": "phpcpd classes/src/ -n",
+        "versions": "phpcs --report-width=200 --report=summary,full classes/src/ --standard=PHPCompatibility --runtime-set testVersion 5.6- -n",
+        "infection": "infection --min-msi=70 --min-covered-msi=70 --log-verbosity=all",
+        "phpstan": "phpstan analyse classes/src/ -c phpstan.neon --level=7 --no-progress -vvv --memory-limit=1024M",
+        "coverage": "phpunit -c phpunit.xml.dist --coverage-text --coverage-html ./build/coverage"
+    },
+    "minimum-stability": "dev"
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/composer.json

@@ -0,0 +1,81 @@
+{
+    "name": "markbaker/matrix",
+    "type": "library",
+    "description": "PHP Class for working with matrices",
+    "keywords": ["matrix", "vector", "mathematics"],
+    "homepage": "https://github.com/MarkBaker/PHPMatrix",
+    "license": "MIT",
+    "authors": [
+        {
+            "name": "Mark Baker",
+            "email": "mark@lange.demon.co.uk"
+        }
+    ],
+    "require": {
+        "php": "^5.6.0|^7.0.0"
+    },
+    "require-dev": {
+        "phpunit/phpunit": "^5.7",
+        "phpmd/phpmd": "dev-master",
+        "sebastian/phpcpd": "^3.0",
+        "phploc/phploc": "^4",
+        "squizlabs/php_codesniffer": "^3.0@dev",
+        "phpcompatibility/php-compatibility": "dev-master",
+        "dealerdirect/phpcodesniffer-composer-installer": "dev-master"
+    },
+    "autoload": {
+        "psr-4": {
+            "Matrix\\": "classes/src/"
+        },
+        "files": [
+            "classes/src/functions/adjoint.php",
+            "classes/src/functions/antidiagonal.php",
+            "classes/src/functions/cofactors.php",
+            "classes/src/functions/determinant.php",
+            "classes/src/functions/diagonal.php",
+            "classes/src/functions/identity.php",
+            "classes/src/functions/inverse.php",
+            "classes/src/functions/minors.php",
+            "classes/src/functions/trace.php",
+            "classes/src/functions/transpose.php",
+            "classes/src/operations/add.php",
+            "classes/src/operations/directsum.php",
+            "classes/src/operations/subtract.php",
+            "classes/src/operations/multiply.php",
+            "classes/src/operations/divideby.php",
+            "classes/src/operations/divideinto.php"
+        ]
+    },
+    "autoload-dev": {
+        "psr-4": {
+            "Matrix\\Test\\": "unitTests/classes/src/"
+        },
+        "files": [
+            "unitTests/classes/src/functions/adjointTest.php",
+            "unitTests/classes/src/functions/antidiagonalTest.php",
+            "unitTests/classes/src/functions/cofactorsTest.php",
+            "unitTests/classes/src/functions/determinantTest.php",
+            "unitTests/classes/src/functions/diagonalTest.php",
+            "unitTests/classes/src/functions/identityTest.php",
+            "unitTests/classes/src/functions/inverseTest.php",
+            "unitTests/classes/src/functions/minorsTest.php",
+            "unitTests/classes/src/functions/traceTest.php",
+            "unitTests/classes/src/functions/transposeTest.php",
+            "unitTests/classes/src/operations/addTest.php",
+            "unitTests/classes/src/operations/directsumTest.php",
+            "unitTests/classes/src/operations/subtractTest.php",
+            "unitTests/classes/src/operations/multiplyTest.php",
+            "unitTests/classes/src/operations/dividebyTest.php",
+            "unitTests/classes/src/operations/divideintoTest.php"
+        ]
+    },
+    "scripts": {
+        "style": "phpcs --report-width=200 --report=summary,full -n",
+        "test": "phpunit -c phpunit.xml.dist",
+        "mess": "phpmd classes/src/ xml codesize,unusedcode,design,naming -n",
+        "lines": "phploc classes/src/ -n",
+        "cpd": "phpcpd classes/src/ -n",
+        "versions": "phpcs --report-width=200 --report=summary,full classes/src/ --standard=PHPCompatibility --runtime-set testVersion 5.6- -n"
+    },
+    "minimum-stability": "dev"
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/examples/test.php

@@ -0,0 +1,19 @@
+<?php
+
+include __DIR__ . '/../classes/Bootstrap.php';
+
+$grid1 = [
+    [1, 3, 2],
+    [2, 3, 1],
+];
+
+$grid2 = [
+    [1, 6],
+    [0, 1],
+];
+
+$matrix = new Matrix\Matrix($grid1);
+
+$new = $matrix->directsum(new Matrix\Matrix($grid2));
+
+var_dump($new);

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/infection.json.dist

@@ -0,0 +1,17 @@
+{
+    "timeout": 1,
+    "source": {
+        "directories": [
+            "classes\/src"
+        ]
+    },
+    "logs": {
+        "text": "build/infection/text.log",
+        "summary": "build/infection/summary.log",
+        "debug": "build/infection/debug.log",
+        "perMutator": "build/infection/perMutator.md"
+    },
+    "mutators": {
+        "@default": true
+    }
+}

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/license.md

@@ -0,0 +1,25 @@
+The MIT License (MIT)
+=====================
+
+Copyright © `2018` `Mark Baker`
+
+Permission is hereby granted, free of charge, to any person
+obtaining a copy of this software and associated documentation
+files (the “Software”), to deal in the Software without
+restriction, including without limitation the rights to use,
+copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the
+Software is furnished to do so, subject to the following
+conditions:
+
+The above copyright notice and this permission notice shall be
+included in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+OTHER DEALINGS IN THE SOFTWARE.

phpspreadsheet_1.8.1.0/vendor/markbaker/matrix/phpstan.neon

@@ -0,0 +1,4 @@
+parameters:
+    ignoreErrors:
+        - '#Property [A-Za-z\\]+::\$[A-Za-z]+ has no typehint specified#'
+        - '#Method [A-Za-z\\]+::[A-Za-z]+\(\) has no return typehint specified#'