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atuy
2026-06-27 13:11:58 +07:00
commit c32764f514
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vendor/autoload.php
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<?php
// autoload.php @generated by Composer
if (PHP_VERSION_ID < 50600) {
if (!headers_sent()) {
header('HTTP/1.1 500 Internal Server Error');
}
$err = 'Composer 2.3.0 dropped support for autoloading on PHP <5.6 and you are running '.PHP_VERSION.', please upgrade PHP or use Composer 2.2 LTS via "composer self-update --2.2". Aborting.'.PHP_EOL;
if (!ini_get('display_errors')) {
if (PHP_SAPI === 'cli' || PHP_SAPI === 'phpdbg') {
fwrite(STDERR, $err);
} elseif (!headers_sent()) {
echo $err;
}
}
trigger_error(
$err,
E_USER_ERROR
);
}
require_once __DIR__ . '/composer/autoload_real.php';
return ComposerAutoloaderInitc99e1ebe1b175553975f215ab50693d2::getLoader();
vendor/composer/ClassLoader.php
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+579
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<?php
/*
* This file is part of Composer.
*
* (c) Nils Adermann <naderman@naderman.de>
* Jordi Boggiano <j.boggiano@seld.be>
*
* For the full copyright and license information, please view the LICENSE
* file that was distributed with this source code.
*/
namespace Composer\Autoload;
/**
* ClassLoader implements a PSR-0, PSR-4 and classmap class loader.
*
* $loader = new \Composer\Autoload\ClassLoader();
*
* // register classes with namespaces
* $loader->add('Symfony\Component', __DIR__.'/component');
* $loader->add('Symfony', __DIR__.'/framework');
*
* // activate the autoloader
* $loader->register();
*
* // to enable searching the include path (eg. for PEAR packages)
* $loader->setUseIncludePath(true);
*
* In this example, if you try to use a class in the Symfony\Component
* namespace or one of its children (Symfony\Component\Console for instance),
* the autoloader will first look for the class under the component/
* directory, and it will then fallback to the framework/ directory if not
* found before giving up.
*
* This class is loosely based on the Symfony UniversalClassLoader.
*
* @author Fabien Potencier <fabien@symfony.com>
* @author Jordi Boggiano <j.boggiano@seld.be>
* @see https://www.php-fig.org/psr/psr-0/
* @see https://www.php-fig.org/psr/psr-4/
*/
class ClassLoader
{
/** @var \Closure(string):void */
private static $includeFile;
/** @var string|null */
private $vendorDir;
// PSR-4
/**
* @var array<string, array<string, int>>
*/
private $prefixLengthsPsr4 = array();
/**
* @var array<string, list<string>>
*/
private $prefixDirsPsr4 = array();
/**
* @var list<string>
*/
private $fallbackDirsPsr4 = array();
// PSR-0
/**
* List of PSR-0 prefixes
*
* Structured as array('F (first letter)' => array('Foo\Bar (full prefix)' => array('path', 'path2')))
*
* @var array<string, array<string, list<string>>>
*/
private $prefixesPsr0 = array();
/**
* @var list<string>
*/
private $fallbackDirsPsr0 = array();
/** @var bool */
private $useIncludePath = false;
/**
* @var array<string, string>
*/
private $classMap = array();
/** @var bool */
private $classMapAuthoritative = false;
/**
* @var array<string, bool>
*/
private $missingClasses = array();
/** @var string|null */
private $apcuPrefix;
/**
* @var array<string, self>
*/
private static $registeredLoaders = array();
/**
* @param string|null $vendorDir
*/
public function __construct($vendorDir = null)
{
$this->vendorDir = $vendorDir;
self::initializeIncludeClosure();
}
/**
* @return array<string, list<string>>
*/
public function getPrefixes()
{
if (!empty($this->prefixesPsr0)) {
return call_user_func_array('array_merge', array_values($this->prefixesPsr0));
}
return array();
}
/**
* @return array<string, list<string>>
*/
public function getPrefixesPsr4()
{
return $this->prefixDirsPsr4;
}
/**
* @return list<string>
*/
public function getFallbackDirs()
{
return $this->fallbackDirsPsr0;
}
/**
* @return list<string>
*/
public function getFallbackDirsPsr4()
{
return $this->fallbackDirsPsr4;
}
/**
* @return array<string, string> Array of classname => path
*/
public function getClassMap()
{
return $this->classMap;
}
/**
* @param array<string, string> $classMap Class to filename map
*
* @return void
*/
public function addClassMap(array $classMap)
{
if ($this->classMap) {
$this->classMap = array_merge($this->classMap, $classMap);
} else {
$this->classMap = $classMap;
}
}
/**
* Registers a set of PSR-0 directories for a given prefix, either
* appending or prepending to the ones previously set for this prefix.
*
* @param string $prefix The prefix
* @param list<string>|string $paths The PSR-0 root directories
* @param bool $prepend Whether to prepend the directories
*
* @return void
*/
public function add($prefix, $paths, $prepend = false)
{
$paths = (array) $paths;
if (!$prefix) {
if ($prepend) {
$this->fallbackDirsPsr0 = array_merge(
$paths,
$this->fallbackDirsPsr0
);
} else {
$this->fallbackDirsPsr0 = array_merge(
$this->fallbackDirsPsr0,
$paths
);
}
return;
}
$first = $prefix[0];
if (!isset($this->prefixesPsr0[$first][$prefix])) {
$this->prefixesPsr0[$first][$prefix] = $paths;
return;
}
if ($prepend) {
$this->prefixesPsr0[$first][$prefix] = array_merge(
$paths,
$this->prefixesPsr0[$first][$prefix]
);
} else {
$this->prefixesPsr0[$first][$prefix] = array_merge(
$this->prefixesPsr0[$first][$prefix],
$paths
);
}
}
/**
* Registers a set of PSR-4 directories for a given namespace, either
* appending or prepending to the ones previously set for this namespace.
*
* @param string $prefix The prefix/namespace, with trailing '\\'
* @param list<string>|string $paths The PSR-4 base directories
* @param bool $prepend Whether to prepend the directories
*
* @throws \InvalidArgumentException
*
* @return void
*/
public function addPsr4($prefix, $paths, $prepend = false)
{
$paths = (array) $paths;
if (!$prefix) {
// Register directories for the root namespace.
if ($prepend) {
$this->fallbackDirsPsr4 = array_merge(
$paths,
$this->fallbackDirsPsr4
);
} else {
$this->fallbackDirsPsr4 = array_merge(
$this->fallbackDirsPsr4,
$paths
);
}
} elseif (!isset($this->prefixDirsPsr4[$prefix])) {
// Register directories for a new namespace.
$length = strlen($prefix);
if ('\\' !== $prefix[$length - 1]) {
throw new \InvalidArgumentException("A non-empty PSR-4 prefix must end with a namespace separator.");
}
$this->prefixLengthsPsr4[$prefix[0]][$prefix] = $length;
$this->prefixDirsPsr4[$prefix] = $paths;
} elseif ($prepend) {
// Prepend directories for an already registered namespace.
$this->prefixDirsPsr4[$prefix] = array_merge(
$paths,
$this->prefixDirsPsr4[$prefix]
);
} else {
// Append directories for an already registered namespace.
$this->prefixDirsPsr4[$prefix] = array_merge(
$this->prefixDirsPsr4[$prefix],
$paths
);
}
}
/**
* Registers a set of PSR-0 directories for a given prefix,
* replacing any others previously set for this prefix.
*
* @param string $prefix The prefix
* @param list<string>|string $paths The PSR-0 base directories
*
* @return void
*/
public function set($prefix, $paths)
{
if (!$prefix) {
$this->fallbackDirsPsr0 = (array) $paths;
} else {
$this->prefixesPsr0[$prefix[0]][$prefix] = (array) $paths;
}
}
/**
* Registers a set of PSR-4 directories for a given namespace,
* replacing any others previously set for this namespace.
*
* @param string $prefix The prefix/namespace, with trailing '\\'
* @param list<string>|string $paths The PSR-4 base directories
*
* @throws \InvalidArgumentException
*
* @return void
*/
public function setPsr4($prefix, $paths)
{
if (!$prefix) {
$this->fallbackDirsPsr4 = (array) $paths;
} else {
$length = strlen($prefix);
if ('\\' !== $prefix[$length - 1]) {
throw new \InvalidArgumentException("A non-empty PSR-4 prefix must end with a namespace separator.");
}
$this->prefixLengthsPsr4[$prefix[0]][$prefix] = $length;
$this->prefixDirsPsr4[$prefix] = (array) $paths;
}
}
/**
* Turns on searching the include path for class files.
*
* @param bool $useIncludePath
*
* @return void
*/
public function setUseIncludePath($useIncludePath)
{
$this->useIncludePath = $useIncludePath;
}
/**
* Can be used to check if the autoloader uses the include path to check
* for classes.
*
* @return bool
*/
public function getUseIncludePath()
{
return $this->useIncludePath;
}
/**
* Turns off searching the prefix and fallback directories for classes
* that have not been registered with the class map.
*
* @param bool $classMapAuthoritative
*
* @return void
*/
public function setClassMapAuthoritative($classMapAuthoritative)
{
$this->classMapAuthoritative = $classMapAuthoritative;
}
/**
* Should class lookup fail if not found in the current class map?
*
* @return bool
*/
public function isClassMapAuthoritative()
{
return $this->classMapAuthoritative;
}
/**
* APCu prefix to use to cache found/not-found classes, if the extension is enabled.
*
* @param string|null $apcuPrefix
*
* @return void
*/
public function setApcuPrefix($apcuPrefix)
{
$this->apcuPrefix = function_exists('apcu_fetch') && filter_var(ini_get('apc.enabled'), FILTER_VALIDATE_BOOLEAN) ? $apcuPrefix : null;
}
/**
* The APCu prefix in use, or null if APCu caching is not enabled.
*
* @return string|null
*/
public function getApcuPrefix()
{
return $this->apcuPrefix;
}
/**
* Registers this instance as an autoloader.
*
* @param bool $prepend Whether to prepend the autoloader or not
*
* @return void
*/
public function register($prepend = false)
{
spl_autoload_register(array($this, 'loadClass'), true, $prepend);
if (null === $this->vendorDir) {
return;
}
if ($prepend) {
self::$registeredLoaders = array($this->vendorDir => $this) + self::$registeredLoaders;
} else {
unset(self::$registeredLoaders[$this->vendorDir]);
self::$registeredLoaders[$this->vendorDir] = $this;
}
}
/**
* Unregisters this instance as an autoloader.
*
* @return void
*/
public function unregister()
{
spl_autoload_unregister(array($this, 'loadClass'));
if (null !== $this->vendorDir) {
unset(self::$registeredLoaders[$this->vendorDir]);
}
}
/**
* Loads the given class or interface.
*
* @param string $class The name of the class
* @return true|null True if loaded, null otherwise
*/
public function loadClass($class)
{
if ($file = $this->findFile($class)) {
$includeFile = self::$includeFile;
$includeFile($file);
return true;
}
return null;
}
/**
* Finds the path to the file where the class is defined.
*
* @param string $class The name of the class
*
* @return string|false The path if found, false otherwise
*/
public function findFile($class)
{
// class map lookup
if (isset($this->classMap[$class])) {
return $this->classMap[$class];
}
if ($this->classMapAuthoritative || isset($this->missingClasses[$class])) {
return false;
}
if (null !== $this->apcuPrefix) {
$file = apcu_fetch($this->apcuPrefix.$class, $hit);
if ($hit) {
return $file;
}
}
$file = $this->findFileWithExtension($class, '.php');
// Search for Hack files if we are running on HHVM
if (false === $file && defined('HHVM_VERSION')) {
$file = $this->findFileWithExtension($class, '.hh');
}
if (null !== $this->apcuPrefix) {
apcu_add($this->apcuPrefix.$class, $file);
}
if (false === $file) {
// Remember that this class does not exist.
$this->missingClasses[$class] = true;
}
return $file;
}
/**
* Returns the currently registered loaders keyed by their corresponding vendor directories.
*
* @return array<string, self>
*/
public static function getRegisteredLoaders()
{
return self::$registeredLoaders;
}
/**
* @param string $class
* @param string $ext
* @return string|false
*/
private function findFileWithExtension($class, $ext)
{
// PSR-4 lookup
$logicalPathPsr4 = strtr($class, '\\', DIRECTORY_SEPARATOR) . $ext;
$first = $class[0];
if (isset($this->prefixLengthsPsr4[$first])) {
$subPath = $class;
while (false !== $lastPos = strrpos($subPath, '\\')) {
$subPath = substr($subPath, 0, $lastPos);
$search = $subPath . '\\';
if (isset($this->prefixDirsPsr4[$search])) {
$pathEnd = DIRECTORY_SEPARATOR . substr($logicalPathPsr4, $lastPos + 1);
foreach ($this->prefixDirsPsr4[$search] as $dir) {
if (file_exists($file = $dir . $pathEnd)) {
return $file;
}
}
}
}
}
// PSR-4 fallback dirs
foreach ($this->fallbackDirsPsr4 as $dir) {
if (file_exists($file = $dir . DIRECTORY_SEPARATOR . $logicalPathPsr4)) {
return $file;
}
}
// PSR-0 lookup
if (false !== $pos = strrpos($class, '\\')) {
// namespaced class name
$logicalPathPsr0 = substr($logicalPathPsr4, 0, $pos + 1)
. strtr(substr($logicalPathPsr4, $pos + 1), '_', DIRECTORY_SEPARATOR);
} else {
// PEAR-like class name
$logicalPathPsr0 = strtr($class, '_', DIRECTORY_SEPARATOR) . $ext;
}
if (isset($this->prefixesPsr0[$first])) {
foreach ($this->prefixesPsr0[$first] as $prefix => $dirs) {
if (0 === strpos($class, $prefix)) {
foreach ($dirs as $dir) {
if (file_exists($file = $dir . DIRECTORY_SEPARATOR . $logicalPathPsr0)) {
return $file;
}
}
}
}
}
// PSR-0 fallback dirs
foreach ($this->fallbackDirsPsr0 as $dir) {
if (file_exists($file = $dir . DIRECTORY_SEPARATOR . $logicalPathPsr0)) {
return $file;
}
}
// PSR-0 include paths.
if ($this->useIncludePath && $file = stream_resolve_include_path($logicalPathPsr0)) {
return $file;
}
return false;
}
/**
* @return void
*/
private static function initializeIncludeClosure()
{
if (self::$includeFile !== null) {
return;
}
/**
* Scope isolated include.
*
* Prevents access to $this/self from included files.
*
* @param string $file
* @return void
*/
self::$includeFile = \Closure::bind(static function($file) {
include $file;
}, null, null);
}
}
vendor/composer/InstalledVersions.php
Vendored
+359
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<?php
/*
* This file is part of Composer.
*
* (c) Nils Adermann <naderman@naderman.de>
* Jordi Boggiano <j.boggiano@seld.be>
*
* For the full copyright and license information, please view the LICENSE
* file that was distributed with this source code.
*/
namespace Composer;
use Composer\Autoload\ClassLoader;
use Composer\Semver\VersionParser;
/**
* This class is copied in every Composer installed project and available to all
*
* See also https://getcomposer.org/doc/07-runtime.md#installed-versions
*
* To require its presence, you can require `composer-runtime-api ^2.0`
*
* @final
*/
class InstalledVersions
{
/**
* @var mixed[]|null
* @psalm-var array{root: array{name: string, pretty_version: string, version: string, reference: string|null, type: string, install_path: string, aliases: string[], dev: bool}, versions: array<string, array{pretty_version?: string, version?: string, reference?: string|null, type?: string, install_path?: string, aliases?: string[], dev_requirement: bool, replaced?: string[], provided?: string[]}>}|array{}|null
*/
private static $installed;
/**
* @var bool|null
*/
private static $canGetVendors;
/**
* @var array[]
* @psalm-var array<string, array{root: array{name: string, pretty_version: string, version: string, reference: string|null, type: string, install_path: string, aliases: string[], dev: bool}, versions: array<string, array{pretty_version?: string, version?: string, reference?: string|null, type?: string, install_path?: string, aliases?: string[], dev_requirement: bool, replaced?: string[], provided?: string[]}>}>
*/
private static $installedByVendor = array();
/**
* Returns a list of all package names which are present, either by being installed, replaced or provided
*
* @return string[]
* @psalm-return list<string>
*/
public static function getInstalledPackages()
{
$packages = array();
foreach (self::getInstalled() as $installed) {
$packages[] = array_keys($installed['versions']);
}
if (1 === \count($packages)) {
return $packages[0];
}
return array_keys(array_flip(\call_user_func_array('array_merge', $packages)));
}
/**
* Returns a list of all package names with a specific type e.g. 'library'
*
* @param string $type
* @return string[]
* @psalm-return list<string>
*/
public static function getInstalledPackagesByType($type)
{
$packagesByType = array();
foreach (self::getInstalled() as $installed) {
foreach ($installed['versions'] as $name => $package) {
if (isset($package['type']) && $package['type'] === $type) {
$packagesByType[] = $name;
}
}
}
return $packagesByType;
}
/**
* Checks whether the given package is installed
*
* This also returns true if the package name is provided or replaced by another package
*
* @param string $packageName
* @param bool $includeDevRequirements
* @return bool
*/
public static function isInstalled($packageName, $includeDevRequirements = true)
{
foreach (self::getInstalled() as $installed) {
if (isset($installed['versions'][$packageName])) {
return $includeDevRequirements || !isset($installed['versions'][$packageName]['dev_requirement']) || $installed['versions'][$packageName]['dev_requirement'] === false;
}
}
return false;
}
/**
* Checks whether the given package satisfies a version constraint
*
* e.g. If you want to know whether version 2.3+ of package foo/bar is installed, you would call:
*
* Composer\InstalledVersions::satisfies(new VersionParser, 'foo/bar', '^2.3')
*
* @param VersionParser $parser Install composer/semver to have access to this class and functionality
* @param string $packageName
* @param string|null $constraint A version constraint to check for, if you pass one you have to make sure composer/semver is required by your package
* @return bool
*/
public static function satisfies(VersionParser $parser, $packageName, $constraint)
{
$constraint = $parser->parseConstraints((string) $constraint);
$provided = $parser->parseConstraints(self::getVersionRanges($packageName));
return $provided->matches($constraint);
}
/**
* Returns a version constraint representing all the range(s) which are installed for a given package
*
* It is easier to use this via isInstalled() with the $constraint argument if you need to check
* whether a given version of a package is installed, and not just whether it exists
*
* @param string $packageName
* @return string Version constraint usable with composer/semver
*/
public static function getVersionRanges($packageName)
{
foreach (self::getInstalled() as $installed) {
if (!isset($installed['versions'][$packageName])) {
continue;
}
$ranges = array();
if (isset($installed['versions'][$packageName]['pretty_version'])) {
$ranges[] = $installed['versions'][$packageName]['pretty_version'];
}
if (array_key_exists('aliases', $installed['versions'][$packageName])) {
$ranges = array_merge($ranges, $installed['versions'][$packageName]['aliases']);
}
if (array_key_exists('replaced', $installed['versions'][$packageName])) {
$ranges = array_merge($ranges, $installed['versions'][$packageName]['replaced']);
}
if (array_key_exists('provided', $installed['versions'][$packageName])) {
$ranges = array_merge($ranges, $installed['versions'][$packageName]['provided']);
}
return implode(' || ', $ranges);
}
throw new \OutOfBoundsException('Package "' . $packageName . '" is not installed');
}
/**
* @param string $packageName
* @return string|null If the package is being replaced or provided but is not really installed, null will be returned as version, use satisfies or getVersionRanges if you need to know if a given version is present
*/
public static function getVersion($packageName)
{
foreach (self::getInstalled() as $installed) {
if (!isset($installed['versions'][$packageName])) {
continue;
}
if (!isset($installed['versions'][$packageName]['version'])) {
return null;
}
return $installed['versions'][$packageName]['version'];
}
throw new \OutOfBoundsException('Package "' . $packageName . '" is not installed');
}
/**
* @param string $packageName
* @return string|null If the package is being replaced or provided but is not really installed, null will be returned as version, use satisfies or getVersionRanges if you need to know if a given version is present
*/
public static function getPrettyVersion($packageName)
{
foreach (self::getInstalled() as $installed) {
if (!isset($installed['versions'][$packageName])) {
continue;
}
if (!isset($installed['versions'][$packageName]['pretty_version'])) {
return null;
}
return $installed['versions'][$packageName]['pretty_version'];
}
throw new \OutOfBoundsException('Package "' . $packageName . '" is not installed');
}
/**
* @param string $packageName
* @return string|null If the package is being replaced or provided but is not really installed, null will be returned as reference
*/
public static function getReference($packageName)
{
foreach (self::getInstalled() as $installed) {
if (!isset($installed['versions'][$packageName])) {
continue;
}
if (!isset($installed['versions'][$packageName]['reference'])) {
return null;
}
return $installed['versions'][$packageName]['reference'];
}
throw new \OutOfBoundsException('Package "' . $packageName . '" is not installed');
}
/**
* @param string $packageName
* @return string|null If the package is being replaced or provided but is not really installed, null will be returned as install path. Packages of type metapackages also have a null install path.
*/
public static function getInstallPath($packageName)
{
foreach (self::getInstalled() as $installed) {
if (!isset($installed['versions'][$packageName])) {
continue;
}
return isset($installed['versions'][$packageName]['install_path']) ? $installed['versions'][$packageName]['install_path'] : null;
}
throw new \OutOfBoundsException('Package "' . $packageName . '" is not installed');
}
/**
* @return array
* @psalm-return array{name: string, pretty_version: string, version: string, reference: string|null, type: string, install_path: string, aliases: string[], dev: bool}
*/
public static function getRootPackage()
{
$installed = self::getInstalled();
return $installed[0]['root'];
}
/**
* Returns the raw installed.php data for custom implementations
*
* @deprecated Use getAllRawData() instead which returns all datasets for all autoloaders present in the process. getRawData only returns the first dataset loaded, which may not be what you expect.
* @return array[]
* @psalm-return array{root: array{name: string, pretty_version: string, version: string, reference: string|null, type: string, install_path: string, aliases: string[], dev: bool}, versions: array<string, array{pretty_version?: string, version?: string, reference?: string|null, type?: string, install_path?: string, aliases?: string[], dev_requirement: bool, replaced?: string[], provided?: string[]}>}
*/
public static function getRawData()
{
@trigger_error('getRawData only returns the first dataset loaded, which may not be what you expect. Use getAllRawData() instead which returns all datasets for all autoloaders present in the process.', E_USER_DEPRECATED);
if (null === self::$installed) {
// only require the installed.php file if this file is loaded from its dumped location,
// and not from its source location in the composer/composer package, see https://github.com/composer/composer/issues/9937
if (substr(__DIR__, -8, 1) !== 'C') {
self::$installed = include __DIR__ . '/installed.php';
} else {
self::$installed = array();
}
}
return self::$installed;
}
/**
* Returns the raw data of all installed.php which are currently loaded for custom implementations
*
* @return array[]
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Copyright (c) Nils Adermann, Jordi Boggiano
Permission is hereby granted, free of charge, to any person obtaining a copy
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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
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'eef6fa3879d3efa347cd24d5eb348f85' => __DIR__ . '/..' . '/markbaker/matrix/classes/src/Operations/divideinto.php',
);
public static $prefixLengthsPsr4 = array (
'P' =>
array (
'Psr\\SimpleCache\\' => 16,
'PhpOffice\\PhpSpreadsheet\\' => 25,
),
'M' =>
array (
'Matrix\\' => 7,
),
'C' =>
array (
'Complex\\' => 8,
),
);
public static $prefixDirsPsr4 = array (
'Psr\\SimpleCache\\' =>
array (
0 => __DIR__ . '/..' . '/psr/simple-cache/src',
),
'PhpOffice\\PhpSpreadsheet\\' =>
array (
0 => __DIR__ . '/..' . '/phpoffice/phpspreadsheet/src/PhpSpreadsheet',
),
'Matrix\\' =>
array (
0 => __DIR__ . '/..' . '/markbaker/matrix/classes/src',
),
'Complex\\' =>
array (
0 => __DIR__ . '/..' . '/markbaker/complex/classes/src',
),
);
public static $classMap = array (
'Composer\\InstalledVersions' => __DIR__ . '/..' . '/composer/InstalledVersions.php',
);
public static function getInitializer(ClassLoader $loader)
{
return \Closure::bind(function () use ($loader) {
$loader->prefixLengthsPsr4 = ComposerStaticInitc99e1ebe1b175553975f215ab50693d2::$prefixLengthsPsr4;
$loader->prefixDirsPsr4 = ComposerStaticInitc99e1ebe1b175553975f215ab50693d2::$prefixDirsPsr4;
$loader->classMap = ComposerStaticInitc99e1ebe1b175553975f215ab50693d2::$classMap;
}, null, ClassLoader::class);
}
}
vendor/composer/installed.json
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+338
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@@ -0,0 +1,338 @@
{
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"version_normalized": "1.5.0.0",
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],
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},
"notification-url": "https://packagist.org/downloads/",
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],
"authors": [
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"email": "mark@lange.demon.co.uk"
}
],
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"shasum": ""
},
"require": {
"php": "^5.6.0|^7.0.0"
},
"require-dev": {
"dealerdirect/phpcodesniffer-composer-installer": "dev-master",
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"phploc/phploc": "^4",
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"time": "2021-01-26T14:36:01+00:00",
"type": "library",
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"autoload": {
"files": [
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"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"
],
"psr-4": {
"Matrix\\": "classes/src/"
}
},
"notification-url": "https://packagist.org/downloads/",
"license": [
"MIT"
],
"authors": [
{
"name": "Mark Baker",
"email": "mark@lange.demon.co.uk"
}
],
"description": "PHP Class for working with matrices",
"homepage": "https://github.com/MarkBaker/PHPMatrix",
"keywords": [
"mathematics",
"matrix",
"vector"
],
"support": {
"issues": "https://github.com/MarkBaker/PHPMatrix/issues",
"source": "https://github.com/MarkBaker/PHPMatrix/tree/1.2.3"
},
"install-path": "../markbaker/matrix"
},
{
"name": "phpoffice/phpspreadsheet",
"version": "1.12.0",
"version_normalized": "1.12.0.0",
"source": {
"type": "git",
"url": "https://github.com/PHPOffice/PhpSpreadsheet.git",
"reference": "f79611d6dc1f6b7e8e30b738fc371b392001dbfd"
},
"dist": {
"type": "zip",
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"reference": "f79611d6dc1f6b7e8e30b738fc371b392001dbfd",
"shasum": ""
},
"require": {
"ext-ctype": "*",
"ext-dom": "*",
"ext-fileinfo": "*",
"ext-gd": "*",
"ext-iconv": "*",
"ext-libxml": "*",
"ext-mbstring": "*",
"ext-simplexml": "*",
"ext-xml": "*",
"ext-xmlreader": "*",
"ext-xmlwriter": "*",
"ext-zip": "*",
"ext-zlib": "*",
"markbaker/complex": "^1.4",
"markbaker/matrix": "^1.2",
"php": "^7.1",
"psr/simple-cache": "^1.0"
},
"require-dev": {
"dompdf/dompdf": "^0.8.3",
"friendsofphp/php-cs-fixer": "^2.16",
"jpgraph/jpgraph": "^4.0",
"mpdf/mpdf": "^8.0",
"phpcompatibility/php-compatibility": "^9.3",
"phpunit/phpunit": "^7.5",
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},
"suggest": {
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"mpdf/mpdf": "Option for rendering PDF with PDF Writer",
"tecnickcom/tcpdf": "Option for rendering PDF with PDF Writer"
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"time": "2020-04-27T08:12:48+00:00",
"type": "library",
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"PhpOffice\\PhpSpreadsheet\\": "src/PhpSpreadsheet"
}
},
"notification-url": "https://packagist.org/downloads/",
"license": [
"MIT"
],
"authors": [
{
"name": "Maarten Balliauw",
"homepage": "https://blog.maartenballiauw.be"
},
{
"name": "Mark Baker",
"homepage": "https://markbakeruk.net"
},
{
"name": "Franck Lefevre",
"homepage": "https://rootslabs.net"
},
{
"name": "Erik Tilt"
},
{
"name": "Adrien Crivelli"
}
],
"description": "PHPSpreadsheet - Read, Create and Write Spreadsheet documents in PHP - Spreadsheet engine",
"homepage": "https://github.com/PHPOffice/PhpSpreadsheet",
"keywords": [
"OpenXML",
"excel",
"gnumeric",
"ods",
"php",
"spreadsheet",
"xls",
"xlsx"
],
"support": {
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"source": "https://github.com/PHPOffice/PhpSpreadsheet/tree/1.12.0"
},
"install-path": "../phpoffice/phpspreadsheet"
},
{
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"version": "1.0.1",
"version_normalized": "1.0.1.0",
"source": {
"type": "git",
"url": "https://github.com/php-fig/simple-cache.git",
"reference": "408d5eafb83c57f6365a3ca330ff23aa4a5fa39b"
},
"dist": {
"type": "zip",
"url": "https://api.github.com/repos/php-fig/simple-cache/zipball/408d5eafb83c57f6365a3ca330ff23aa4a5fa39b",
"reference": "408d5eafb83c57f6365a3ca330ff23aa4a5fa39b",
"shasum": ""
},
"require": {
"php": ">=5.3.0"
},
"time": "2017-10-23T01:57:42+00:00",
"type": "library",
"extra": {
"branch-alias": {
"dev-master": "1.0.x-dev"
}
},
"installation-source": "dist",
"autoload": {
"psr-4": {
"Psr\\SimpleCache\\": "src/"
}
},
"notification-url": "https://packagist.org/downloads/",
"license": [
"MIT"
],
"authors": [
{
"name": "PHP-FIG",
"homepage": "http://www.php-fig.org/"
}
],
"description": "Common interfaces for simple caching",
"keywords": [
"cache",
"caching",
"psr",
"psr-16",
"simple-cache"
],
"support": {
"source": "https://github.com/php-fig/simple-cache/tree/master"
},
"install-path": "../psr/simple-cache"
}
],
"dev": false,
"dev-package-names": []
}
vendor/composer/installed.php
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+59
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@@ -0,0 +1,59 @@
<?php return array(
'root' => array(
'name' => 'codeigniter/framework',
'pretty_version' => 'dev-master',
'version' => 'dev-master',
'reference' => 'c54282bd3ecbc74a33f404e18b245dac50f42049',
'type' => 'project',
'install_path' => __DIR__ . '/../../',
'aliases' => array(),
'dev' => false,
),
'versions' => array(
'codeigniter/framework' => array(
'pretty_version' => 'dev-master',
'version' => 'dev-master',
'reference' => 'c54282bd3ecbc74a33f404e18b245dac50f42049',
'type' => 'project',
'install_path' => __DIR__ . '/../../',
'aliases' => array(),
'dev_requirement' => false,
),
'markbaker/complex' => array(
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'version' => '1.5.0.0',
'reference' => 'c3131244e29c08d44fefb49e0dd35021e9e39dd2',
'type' => 'library',
'install_path' => __DIR__ . '/../markbaker/complex',
'aliases' => array(),
'dev_requirement' => false,
),
'markbaker/matrix' => array(
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'version' => '1.2.3.0',
'reference' => '44bb1ab01811116f01fe216ab37d921dccc6c10d',
'type' => 'library',
'install_path' => __DIR__ . '/../markbaker/matrix',
'aliases' => array(),
'dev_requirement' => false,
),
'phpoffice/phpspreadsheet' => array(
'pretty_version' => '1.12.0',
'version' => '1.12.0.0',
'reference' => 'f79611d6dc1f6b7e8e30b738fc371b392001dbfd',
'type' => 'library',
'install_path' => __DIR__ . '/../phpoffice/phpspreadsheet',
'aliases' => array(),
'dev_requirement' => false,
),
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'version' => '1.0.1.0',
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'type' => 'library',
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'aliases' => array(),
'dev_requirement' => false,
),
),
);
vendor/composer/platform_check.php
Vendored
+26
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@@ -0,0 +1,26 @@
<?php
// platform_check.php @generated by Composer
$issues = array();
if (!(PHP_VERSION_ID >= 70100)) {
$issues[] = 'Your Composer dependencies require a PHP version ">= 7.1.0". You are running ' . PHP_VERSION . '.';
}
if ($issues) {
if (!headers_sent()) {
header('HTTP/1.1 500 Internal Server Error');
}
if (!ini_get('display_errors')) {
if (PHP_SAPI === 'cli' || PHP_SAPI === 'phpdbg') {
fwrite(STDERR, 'Composer detected issues in your platform:' . PHP_EOL.PHP_EOL . implode(PHP_EOL, $issues) . PHP_EOL.PHP_EOL);
} elseif (!headers_sent()) {
echo 'Composer detected issues in your platform:' . PHP_EOL.PHP_EOL . str_replace('You are running '.PHP_VERSION.'.', '', implode(PHP_EOL, $issues)) . PHP_EOL.PHP_EOL;
}
}
trigger_error(
'Composer detected issues in your platform: ' . implode(' ', $issues),
E_USER_ERROR
);
}
vendor/markbaker/complex/README.md
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PHPComplex
==========
---
PHP Class for handling Complex numbers
Master: [![Build Status](https://travis-ci.org/MarkBaker/PHPComplex.png?branch=master)](http://travis-ci.org/MarkBaker/PHPComplex)
Develop: [![Build Status](https://travis-ci.org/MarkBaker/PHPComplex.png?branch=develop)](http://travis-ci.org/MarkBaker/PHPComplex)
[![Complex Numbers](https://imgs.xkcd.com/comics/complex_numbers_2x.png)](https://xkcd.com/2028/)
---
The library currently provides the following operations:
- addition
- subtraction
- multiplication
- division
- division by
- division into
together with functions for
- theta (polar theta angle)
- rho (polar distance/radius)
- conjugate
* negative
- inverse (1 / complex)
- cos (cosine)
- acos (inverse cosine)
- cosh (hyperbolic cosine)
- acosh (inverse hyperbolic cosine)
- sin (sine)
- asin (inverse sine)
- sinh (hyperbolic sine)
- asinh (inverse hyperbolic sine)
- sec (secant)
- asec (inverse secant)
- sech (hyperbolic secant)
- asech (inverse hyperbolic secant)
- csc (cosecant)
- acsc (inverse cosecant)
- csch (hyperbolic secant)
- acsch (inverse hyperbolic secant)
- tan (tangent)
- atan (inverse tangent)
- tanh (hyperbolic tangent)
- atanh (inverse hyperbolic tangent)
- cot (cotangent)
- acot (inverse cotangent)
- coth (hyperbolic cotangent)
- acoth (inverse hyperbolic cotangent)
- sqrt (square root)
- exp (exponential)
- ln (natural log)
- log10 (base-10 log)
- log2 (base-2 log)
- pow (raised to the power of a real number)
---
# Usage
To create a new complex object, you can provide either the real, imaginary and suffix parts as individual values, or as an array of values passed passed to the constructor; or a string representing the value. e.g
```
$real = 1.23;
$imaginary = -4.56;
$suffix = 'i';
$complexObject = new Complex\Complex($real, $imaginary, $suffix);
```
or
```
$real = 1.23;
$imaginary = -4.56;
$suffix = 'i';
$arguments = [$real, $imaginary, $suffix];
$complexObject = new Complex\Complex($arguments);
```
or
```
$complexString = '1.23-4.56i';
$complexObject = new Complex\Complex($complexString);
```
Complex objects are immutable: whenever you call a method or pass a complex value to a function that returns a complex value, a new Complex 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 Complex result).
## Performing Mathematical Operations
To perform mathematical operations with Complex values, you can call the appropriate method against a complex value, passing other values as arguments
```
$complexString1 = '1.23-4.56i';
$complexString2 = '2.34+5.67i';
$complexObject = new Complex\Complex($complexString1);
echo $complexObject->add($complexString2);
```
or pass all values to the appropriate function
```
$complexString1 = '1.23-4.56i';
$complexString2 = '2.34+5.67i';
echo Complex\add($complexString1, $complexString2);
```
If you want to perform the same operation against multiple values (e.g. to add three or more complex numbers), then you can pass multiple arguments to any of the operations.
You can pass these arguments as Complex objects, or as an array or string that will parse to a complex object.
## Using functions
When calling any of the available functions for a complex value, you can either call the relevant method for the Complex object
```
$complexString = '1.23-4.56i';
$complexObject = new Complex\Complex($complexString);
echo $complexObject->sinh();
```
or you can call the function as you would in procedural code, passing the Complex object as an argument
```
$complexString = '1.23-4.56i';
$complexObject = new Complex\Complex($complexString);
echo Complex\sinh($complexObject);
```
When called procedurally using the function, you can pass in the argument as a Complex object, or as an array or string that will parse to a complex object.
```
$complexString = '1.23-4.56i';
echo Complex\sinh($complexString);
```
In the case of the `pow()` function (the only implemented function that requires an additional argument) you need to pass both arguments when calling the function procedurally
```
$complexString = '1.23-4.56i';
$complexObject = new Complex\Complex($complexString);
echo Complex\pow($complexObject, 2);
```
or pass the additional argument when calling the method
```
$complexString = '1.23-4.56i';
$complexObject = new Complex\Complex($complexString);
echo $complexObject->pow(2);
```
vendor/markbaker/complex/classes/Autoloader.php
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+53
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<?php
namespace Complex;
/**
*
* Autoloader for Complex classes
*
* @package Complex
* @copyright Copyright (c) 2014 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @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(['Complex\\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, 'Complex\\') !== 0)) {
// Either already loaded, or not a Complex class request
return false;
}
$pClassFilePath = __DIR__ . DIRECTORY_SEPARATOR .
'src' . DIRECTORY_SEPARATOR .
str_replace(['Complex\\', '\\'], ['', '/'], $pClassName) .
'.php';
if ((file_exists($pClassFilePath) === false) || (is_readable($pClassFilePath) === false)) {
// Can't load
return false;
}
require($pClassFilePath);
}
}
vendor/markbaker/complex/classes/Bootstrap.php
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+38
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<?php
include_once __DIR__ . '/Autoloader.php';
\Complex\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, '/^(?!.*(Complex|Exception)\.php).*$/i');
foreach (new RecursiveIteratorIterator($filteredFileList) as $file) {
if ($file->isFile()) {
include_once $file;
}
}
vendor/markbaker/complex/classes/src/Complex.php
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+390
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@@ -0,0 +1,390 @@
<?php
/**
*
* Class for the management of Complex numbers
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Complex Number object.
*
* @package Complex
*
* @method float abs()
* @method Complex acos()
* @method Complex acosh()
* @method Complex acot()
* @method Complex acoth()
* @method Complex acsc()
* @method Complex acsch()
* @method float argument()
* @method Complex asec()
* @method Complex asech()
* @method Complex asin()
* @method Complex asinh()
* @method Complex atan()
* @method Complex atanh()
* @method Complex conjugate()
* @method Complex cos()
* @method Complex cosh()
* @method Complex cot()
* @method Complex coth()
* @method Complex csc()
* @method Complex csch()
* @method Complex exp()
* @method Complex inverse()
* @method Complex ln()
* @method Complex log2()
* @method Complex log10()
* @method Complex negative()
* @method Complex pow(int|float $power)
* @method float rho()
* @method Complex sec()
* @method Complex sech()
* @method Complex sin()
* @method Complex sinh()
* @method Complex sqrt()
* @method Complex tan()
* @method Complex tanh()
* @method float theta()
* @method Complex add(...$complexValues)
* @method Complex subtract(...$complexValues)
* @method Complex multiply(...$complexValues)
* @method Complex divideby(...$complexValues)
* @method Complex divideinto(...$complexValues)
*/
class Complex
{
/**
* @constant Euler's Number.
*/
const EULER = 2.7182818284590452353602874713526624977572;
/**
* @constant Regexp to split an input string into real and imaginary components and suffix
*/
const NUMBER_SPLIT_REGEXP =
'` ^
( # Real part
[-+]?(\d+\.?\d*|\d*\.?\d+) # Real value (integer or float)
([Ee][-+]?[0-2]?\d{1,3})? # Optional real exponent for scientific format
)
( # Imaginary part
[-+]?(\d+\.?\d*|\d*\.?\d+) # Imaginary value (integer or float)
([Ee][-+]?[0-2]?\d{1,3})? # Optional imaginary exponent for scientific format
)?
( # Imaginary part is optional
([-+]?) # Imaginary (implicit 1 or -1) only
([ij]?) # Imaginary i or j - depending on whether mathematical or engineering
)
$`uix';
/**
* @var float $realPart The value of of this complex number on the real plane.
*/
protected $realPart = 0.0;
/**
* @var float $imaginaryPart The value of of this complex number on the imaginary plane.
*/
protected $imaginaryPart = 0.0;
/**
* @var string $suffix The suffix for this complex number (i or j).
*/
protected $suffix;
/**
* Validates whether the argument is a valid complex number, converting scalar or array values if possible
*
* @param mixed $complexNumber The value to parse
* @return array
* @throws Exception If the argument isn't a Complex number or cannot be converted to one
*/
private static function parseComplex($complexNumber)
{
// Test for real number, with no imaginary part
if (is_numeric($complexNumber)) {
return [$complexNumber, 0, null];
}
// Fix silly human errors
$complexNumber = str_replace(
['+-', '-+', '++', '--'],
['-', '-', '+', '+'],
$complexNumber
);
// Basic validation of string, to parse out real and imaginary parts, and any suffix
$validComplex = preg_match(
self::NUMBER_SPLIT_REGEXP,
$complexNumber,
$complexParts
);
if (!$validComplex) {
// Neither real nor imaginary part, so test to see if we actually have a suffix
$validComplex = preg_match('/^([\-\+]?)([ij])$/ui', $complexNumber, $complexParts);
if (!$validComplex) {
throw new Exception('Invalid complex number');
}
// We have a suffix, so set the real to 0, the imaginary to either 1 or -1 (as defined by the sign)
$imaginary = 1;
if ($complexParts[1] === '-') {
$imaginary = 0 - $imaginary;
}
return [0, $imaginary, $complexParts[2]];
}
// If we don't have an imaginary part, identify whether it should be +1 or -1...
if (($complexParts[4] === '') && ($complexParts[9] !== '')) {
if ($complexParts[7] !== $complexParts[9]) {
$complexParts[4] = 1;
if ($complexParts[8] === '-') {
$complexParts[4] = -1;
}
} else {
// ... or if we have only the real and no imaginary part
// (in which case our real should be the imaginary)
$complexParts[4] = $complexParts[1];
$complexParts[1] = 0;
}
}
// Return real and imaginary parts and suffix as an array, and set a default suffix if user input lazily
return [
$complexParts[1],
$complexParts[4],
!empty($complexParts[9]) ? $complexParts[9] : 'i'
];
}
public function __construct($realPart = 0.0, $imaginaryPart = null, $suffix = 'i')
{
if ($imaginaryPart === null) {
if (is_array($realPart)) {
// We have an array of (potentially) real and imaginary parts, and any suffix
list ($realPart, $imaginaryPart, $suffix) = array_values($realPart) + [0.0, 0.0, 'i'];
} elseif ((is_string($realPart)) || (is_numeric($realPart))) {
// We've been given a string to parse to extract the real and imaginary parts, and any suffix
list($realPart, $imaginaryPart, $suffix) = self::parseComplex($realPart);
}
}
if ($imaginaryPart != 0.0 && empty($suffix)) {
$suffix = 'i';
} elseif ($imaginaryPart == 0.0 && !empty($suffix)) {
$suffix = '';
}
// Set parsed values in our properties
$this->realPart = (float) $realPart;
$this->imaginaryPart = (float) $imaginaryPart;
$this->suffix = strtolower($suffix);
}
/**
* Gets the real part of this complex number
*
* @return Float
*/
public function getReal()
{
return $this->realPart;
}
/**
* Gets the imaginary part of this complex number
*
* @return Float
*/
public function getImaginary()
{
return $this->imaginaryPart;
}
/**
* Gets the suffix of this complex number
*
* @return String
*/
public function getSuffix()
{
return $this->suffix;
}
/**
* Returns true if this is a real value, false if a complex value
*
* @return Bool
*/
public function isReal()
{
return $this->imaginaryPart == 0.0;
}
/**
* Returns true if this is a complex value, false if a real value
*
* @return Bool
*/
public function isComplex()
{
return !$this->isReal();
}
public function format()
{
$str = "";
if ($this->imaginaryPart != 0.0) {
if (\abs($this->imaginaryPart) != 1.0) {
$str .= $this->imaginaryPart . $this->suffix;
} else {
$str .= (($this->imaginaryPart < 0.0) ? '-' : '') . $this->suffix;
}
}
if ($this->realPart != 0.0) {
if (($str) && ($this->imaginaryPart > 0.0)) {
$str = "+" . $str;
}
$str = $this->realPart . $str;
}
if (!$str) {
$str = "0.0";
}
return $str;
}
public function __toString()
{
return $this->format();
}
/**
* Validates whether the argument is a valid complex number, converting scalar or array values if possible
*
* @param mixed $complex The value to validate
* @return Complex
* @throws Exception If the argument isn't a Complex number or cannot be converted to one
*/
public static function validateComplexArgument($complex)
{
if (is_scalar($complex) || is_array($complex)) {
$complex = new Complex($complex);
} elseif (!is_object($complex) || !($complex instanceof Complex)) {
throw new Exception('Value is not a valid complex number');
}
return $complex;
}
/**
* Returns the reverse of this complex number
*
* @return Complex
*/
public function reverse()
{
return new Complex(
$this->imaginaryPart,
$this->realPart,
($this->realPart == 0.0) ? null : $this->suffix
);
}
public function invertImaginary()
{
return new Complex(
$this->realPart,
$this->imaginaryPart * -1,
($this->imaginaryPart == 0.0) ? null : $this->suffix
);
}
public function invertReal()
{
return new Complex(
$this->realPart * -1,
$this->imaginaryPart,
($this->imaginaryPart == 0.0) ? null : $this->suffix
);
}
protected static $functions = [
'abs',
'acos',
'acosh',
'acot',
'acoth',
'acsc',
'acsch',
'argument',
'asec',
'asech',
'asin',
'asinh',
'atan',
'atanh',
'conjugate',
'cos',
'cosh',
'cot',
'coth',
'csc',
'csch',
'exp',
'inverse',
'ln',
'log2',
'log10',
'negative',
'pow',
'rho',
'sec',
'sech',
'sin',
'sinh',
'sqrt',
'tan',
'tanh',
'theta',
];
protected static $operations = [
'add',
'subtract',
'multiply',
'divideby',
'divideinto',
];
/**
* Returns the result of the function call or operation
*
* @return Complex|float
* @throws Exception|\InvalidArgumentException
*/
public function __call($functionName, $arguments)
{
$functionName = strtolower(str_replace('_', '', $functionName));
// Test for function calls
if (in_array($functionName, self::$functions, true)) {
$functionName = "\\" . __NAMESPACE__ . "\\{$functionName}";
return $functionName($this, ...$arguments);
}
// Test for operation calls
if (in_array($functionName, self::$operations, true)) {
$functionName = "\\" . __NAMESPACE__ . "\\{$functionName}";
return $functionName($this, ...$arguments);
}
throw new Exception('Function or Operation does not exist');
}
}
vendor/markbaker/complex/classes/src/Exception.php
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<?php
/**
* Exception.
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
class Exception extends \Exception
{
}
vendor/markbaker/complex/classes/src/functions/abs.php
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<?php
/**
*
* Function code for the complex abs() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the absolute value (modulus) of a complex number.
* Also known as the rho of the complex number, i.e. the distance/radius
* from the centrepoint to the representation of the number in polar coordinates.
*
* This function is a synonym for rho()
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return float The absolute (or rho) value of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*
* @see rho
*
*/
function abs($complex)
{
return rho($complex);
}
vendor/markbaker/complex/classes/src/functions/acos.php
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<?php
/**
*
* Function code for the complex acos() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse cosine of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse cosine of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function acos($complex)
{
$complex = Complex::validateComplexArgument($complex);
$square = clone $complex;
$square = multiply($square, $complex);
$invsqrt = new Complex(1.0);
$invsqrt = subtract($invsqrt, $square);
$invsqrt = sqrt($invsqrt);
$adjust = new Complex(
$complex->getReal() - $invsqrt->getImaginary(),
$complex->getImaginary() + $invsqrt->getReal()
);
$log = ln($adjust);
return new Complex(
$log->getImaginary(),
-1 * $log->getReal()
);
}
vendor/markbaker/complex/classes/src/functions/acosh.php
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<?php
/**
*
* Function code for the complex acosh() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse hyperbolic cosine of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse hyperbolic cosine of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function acosh($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal() && ($complex->getReal() > 1)) {
return new Complex(\acosh($complex->getReal()));
}
$acosh = acos($complex)
->reverse();
if ($acosh->getReal() < 0.0) {
$acosh = $acosh->invertReal();
}
return $acosh;
}
vendor/markbaker/complex/classes/src/functions/acot.php
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<?php
/**
*
* Function code for the complex acot() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse cotangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse cotangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function acot($complex)
{
$complex = Complex::validateComplexArgument($complex);
return atan(inverse($complex));
}
vendor/markbaker/complex/classes/src/functions/acoth.php
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<?php
/**
*
* Function code for the complex acoth() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse hyperbolic cotangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse hyperbolic cotangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function acoth($complex)
{
$complex = Complex::validateComplexArgument($complex);
return atanh(inverse($complex));
}
vendor/markbaker/complex/classes/src/functions/acsc.php
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<?php
/**
*
* Function code for the complex acsc() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse cosecant of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse cosecant of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function acsc($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
return INF;
}
return asin(inverse($complex));
}
vendor/markbaker/complex/classes/src/functions/acsch.php
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<?php
/**
*
* Function code for the complex acsch() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse hyperbolic cosecant of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse hyperbolic cosecant of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function acsch($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
return INF;
}
return asinh(inverse($complex));
}
vendor/markbaker/complex/classes/src/functions/argument.php
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<?php
/**
*
* Function code for the complex argument() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the argument of a complex number.
* Also known as the theta of the complex number, i.e. the angle in radians
* from the real axis to the representation of the number in polar coordinates.
*
* This function is a synonym for theta()
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return float The argument (or theta) value of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*
* @see theta
*/
function argument($complex)
{
return theta($complex);
}
vendor/markbaker/complex/classes/src/functions/asec.php
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<?php
/**
*
* Function code for the complex asec() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse secant of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse secant of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function asec($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
return INF;
}
return acos(inverse($complex));
}
vendor/markbaker/complex/classes/src/functions/asech.php
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<?php
/**
*
* Function code for the complex asech() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse hyperbolic secant of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse hyperbolic secant of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function asech($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
return INF;
}
return acosh(inverse($complex));
}
vendor/markbaker/complex/classes/src/functions/asin.php
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<?php
/**
*
* Function code for the complex asin() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse sine of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse sine of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function asin($complex)
{
$complex = Complex::validateComplexArgument($complex);
$square = multiply($complex, $complex);
$invsqrt = new Complex(1.0);
$invsqrt = subtract($invsqrt, $square);
$invsqrt = sqrt($invsqrt);
$adjust = new Complex(
$invsqrt->getReal() - $complex->getImaginary(),
$invsqrt->getImaginary() + $complex->getReal()
);
$log = ln($adjust);
return new Complex(
$log->getImaginary(),
-1 * $log->getReal()
);
}
vendor/markbaker/complex/classes/src/functions/asinh.php
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<?php
/**
*
* Function code for the complex asinh() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse hyperbolic sine of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse hyperbolic sine of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function asinh($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal() && ($complex->getReal() > 1)) {
return new Complex(\asinh($complex->getReal()));
}
$asinh = clone $complex;
$asinh = $asinh->reverse()
->invertReal();
$asinh = asin($asinh);
return $asinh->reverse()
->invertImaginary();
}
vendor/markbaker/complex/classes/src/functions/atan.php
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<?php
/**
*
* Function code for the complex atan() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
//include_once 'Math/Complex.php';
//include_once 'Math/ComplexOp.php';
/**
* Returns the inverse tangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse tangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function atan($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
return new Complex(\atan($complex->getReal()));
}
$t1Value = new Complex(-1 * $complex->getImaginary(), $complex->getReal());
$uValue = new Complex(1, 0);
$d1Value = clone $uValue;
$d1Value = subtract($d1Value, $t1Value);
$d2Value = add($t1Value, $uValue);
$uResult = $d1Value->divideBy($d2Value);
$uResult = ln($uResult);
return new Complex(
(($uResult->getImaginary() == M_PI) ? -M_PI : $uResult->getImaginary()) * -0.5,
$uResult->getReal() * 0.5,
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/atanh.php
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<?php
/**
*
* Function code for the complex atanh() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse hyperbolic tangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse hyperbolic tangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function atanh($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
$real = $complex->getReal();
if ($real >= -1.0 && $real <= 1.0) {
return new Complex(\atanh($real));
} else {
return new Complex(\atanh(1 / $real), (($real < 0.0) ? M_PI_2 : -1 * M_PI_2));
}
}
$iComplex = clone $complex;
$iComplex = $iComplex->invertImaginary()
->reverse();
return atan($iComplex)
->invertReal()
->reverse();
}
vendor/markbaker/complex/classes/src/functions/conjugate.php
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<?php
/**
*
* Function code for the complex conjugate() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the complex conjugate of a complex number
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The conjugate of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function conjugate($complex)
{
$complex = Complex::validateComplexArgument($complex);
return new Complex(
$complex->getReal(),
-1 * $complex->getImaginary(),
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/cos.php
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<?php
/**
*
* Function code for the complex cos() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the cosine of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The cosine of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function cos($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
return new Complex(\cos($complex->getReal()));
}
return conjugate(
new Complex(
\cos($complex->getReal()) * \cosh($complex->getImaginary()),
\sin($complex->getReal()) * \sinh($complex->getImaginary()),
$complex->getSuffix()
)
);
}
vendor/markbaker/complex/classes/src/functions/cosh.php
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<?php
/**
*
* Function code for the complex cosh() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the hyperbolic cosine of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The hyperbolic cosine of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function cosh($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
return new Complex(\cosh($complex->getReal()));
}
return new Complex(
\cosh($complex->getReal()) * \cos($complex->getImaginary()),
\sinh($complex->getReal()) * \sin($complex->getImaginary()),
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/cot.php
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<?php
/**
*
* Function code for the complex cot() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the cotangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The cotangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function cot($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
return new Complex(INF);
}
return inverse(tan($complex));
}
vendor/markbaker/complex/classes/src/functions/coth.php
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<?php
/**
*
* Function code for the complex coth() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the hyperbolic cotangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The hyperbolic cotangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function coth($complex)
{
$complex = Complex::validateComplexArgument($complex);
return inverse(tanh($complex));
}
vendor/markbaker/complex/classes/src/functions/csc.php
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<?php
/**
*
* Function code for the complex csc() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the cosecant of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The cosecant of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function csc($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
return INF;
}
return inverse(sin($complex));
}
vendor/markbaker/complex/classes/src/functions/csch.php
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<?php
/**
*
* Function code for the complex csch() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the hyperbolic cosecant of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The hyperbolic cosecant of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function csch($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
return INF;
}
return inverse(sinh($complex));
}
vendor/markbaker/complex/classes/src/functions/exp.php
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<?php
/**
*
* Function code for the complex exp() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the exponential of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The exponential of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function exp($complex)
{
$complex = Complex::validateComplexArgument($complex);
if (($complex->getReal() == 0.0) && (\abs($complex->getImaginary()) == M_PI)) {
return new Complex(-1.0, 0.0);
}
$rho = \exp($complex->getReal());
return new Complex(
$rho * \cos($complex->getImaginary()),
$rho * \sin($complex->getImaginary()),
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/inverse.php
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<?php
/**
*
* Function code for the complex inverse() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the inverse of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The inverse of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function inverse($complex)
{
$complex = clone Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
throw new \InvalidArgumentException('Division by zero');
}
return $complex->divideInto(1.0);
}
vendor/markbaker/complex/classes/src/functions/ln.php
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<?php
/**
*
* Function code for the complex ln() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the natural logarithm of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The natural logarithm of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If the real and the imaginary parts are both zero
*/
function ln($complex)
{
$complex = Complex::validateComplexArgument($complex);
if (($complex->getReal() == 0.0) && ($complex->getImaginary() == 0.0)) {
throw new \InvalidArgumentException();
}
return new Complex(
\log(rho($complex)),
theta($complex),
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/log10.php
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<?php
/**
*
* Function code for the complex log10() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the common logarithm (base 10) of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The common logarithm (base 10) of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If the real and the imaginary parts are both zero
*/
function log10($complex)
{
$complex = Complex::validateComplexArgument($complex);
if (($complex->getReal() == 0.0) && ($complex->getImaginary() == 0.0)) {
throw new \InvalidArgumentException();
} elseif (($complex->getReal() > 0.0) && ($complex->getImaginary() == 0.0)) {
return new Complex(\log10($complex->getReal()), 0.0, $complex->getSuffix());
}
return ln($complex)
->multiply(\log10(Complex::EULER));
}
vendor/markbaker/complex/classes/src/functions/log2.php
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<?php
/**
*
* Function code for the complex log2() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the base-2 logarithm of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The base-2 logarithm of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If the real and the imaginary parts are both zero
*/
function log2($complex)
{
$complex = Complex::validateComplexArgument($complex);
if (($complex->getReal() == 0.0) && ($complex->getImaginary() == 0.0)) {
throw new \InvalidArgumentException();
} elseif (($complex->getReal() > 0.0) && ($complex->getImaginary() == 0.0)) {
return new Complex(\log($complex->getReal(), 2), 0.0, $complex->getSuffix());
}
return ln($complex)
->multiply(\log(Complex::EULER, 2));
}
vendor/markbaker/complex/classes/src/functions/negative.php
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<?php
/**
*
* Function code for the complex negative() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the negative of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return float The negative value of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*
* @see rho
*
*/
function negative($complex)
{
$complex = Complex::validateComplexArgument($complex);
return new Complex(
-1 * $complex->getReal(),
-1 * $complex->getImaginary(),
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/pow.php
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<?php
/**
*
* Function code for the complex pow() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns a complex number raised to a power.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @param float|integer $power The power to raise this value to
* @return Complex The complex argument raised to the real power.
* @throws Exception If the power argument isn't a valid real
*/
function pow($complex, $power)
{
$complex = Complex::validateComplexArgument($complex);
if (!is_numeric($power)) {
throw new Exception('Power argument must be a real number');
}
if ($complex->getImaginary() == 0.0 && $complex->getReal() >= 0.0) {
return new Complex(\pow($complex->getReal(), $power));
}
$rValue = \sqrt(($complex->getReal() * $complex->getReal()) + ($complex->getImaginary() * $complex->getImaginary()));
$rPower = \pow($rValue, $power);
$theta = $complex->argument() * $power;
if ($theta == 0) {
return new Complex(1);
}
return new Complex($rPower * \cos($theta), $rPower * \sin($theta), $complex->getSuffix());
}
vendor/markbaker/complex/classes/src/functions/rho.php
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<?php
/**
*
* Function code for the complex rho() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the rho of a complex number.
* This is the distance/radius from the centrepoint to the representation of the number in polar coordinates.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return float The rho value of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function rho($complex)
{
$complex = Complex::validateComplexArgument($complex);
return \sqrt(
($complex->getReal() * $complex->getReal()) +
($complex->getImaginary() * $complex->getImaginary())
);
}
vendor/markbaker/complex/classes/src/functions/sec.php
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<?php
/**
*
* Function code for the complex sec() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the secant of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The secant of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function sec($complex)
{
$complex = Complex::validateComplexArgument($complex);
return inverse(cos($complex));
}
vendor/markbaker/complex/classes/src/functions/sech.php
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<?php
/**
*
* Function code for the complex sech() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the hyperbolic secant of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The hyperbolic secant of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function sech($complex)
{
$complex = Complex::validateComplexArgument($complex);
return inverse(cosh($complex));
}
vendor/markbaker/complex/classes/src/functions/sin.php
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<?php
/**
*
* Function code for the complex sin() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the sine of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The sine of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function sin($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
return new Complex(\sin($complex->getReal()));
}
return new Complex(
\sin($complex->getReal()) * \cosh($complex->getImaginary()),
\cos($complex->getReal()) * \sinh($complex->getImaginary()),
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/sinh.php
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<?php
/**
*
* Function code for the complex sinh() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the hyperbolic sine of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The hyperbolic sine of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function sinh($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
return new Complex(\sinh($complex->getReal()));
}
return new Complex(
\sinh($complex->getReal()) * \cos($complex->getImaginary()),
\cosh($complex->getReal()) * \sin($complex->getImaginary()),
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/sqrt.php
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<?php
/**
*
* Function code for the complex sqrt() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the square root of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The Square root of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function sqrt($complex)
{
$complex = Complex::validateComplexArgument($complex);
$theta = theta($complex);
$delta1 = \cos($theta / 2);
$delta2 = \sin($theta / 2);
$rho = \sqrt(rho($complex));
return new Complex($delta1 * $rho, $delta2 * $rho, $complex->getSuffix());
}
vendor/markbaker/complex/classes/src/functions/tan.php
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<?php
/**
*
* Function code for the complex tan() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the tangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The tangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function tan($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->isReal()) {
return new Complex(\tan($complex->getReal()));
}
$real = $complex->getReal();
$imaginary = $complex->getImaginary();
$divisor = 1 + \pow(\tan($real), 2) * \pow(\tanh($imaginary), 2);
if ($divisor == 0.0) {
throw new \InvalidArgumentException('Division by zero');
}
return new Complex(
\pow(sech($imaginary)->getReal(), 2) * \tan($real) / $divisor,
\pow(sec($real)->getReal(), 2) * \tanh($imaginary) / $divisor,
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/tanh.php
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<?php
/**
*
* Function code for the complex tanh() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the hyperbolic tangent of a complex number.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return Complex The hyperbolic tangent of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
* @throws \InvalidArgumentException If function would result in a division by zero
*/
function tanh($complex)
{
$complex = Complex::validateComplexArgument($complex);
$real = $complex->getReal();
$imaginary = $complex->getImaginary();
$divisor = \cos($imaginary) * \cos($imaginary) + \sinh($real) * \sinh($real);
if ($divisor == 0.0) {
throw new \InvalidArgumentException('Division by zero');
}
return new Complex(
\sinh($real) * \cosh($real) / $divisor,
0.5 * \sin(2 * $imaginary) / $divisor,
$complex->getSuffix()
);
}
vendor/markbaker/complex/classes/src/functions/theta.php
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<?php
/**
*
* Function code for the complex theta() function
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Returns the theta of a complex number.
* This is the angle in radians from the real axis to the representation of the number in polar coordinates.
*
* @param Complex|mixed $complex Complex number or a numeric value.
* @return float The theta value of the complex argument.
* @throws Exception If argument isn't a valid real or complex number.
*/
function theta($complex)
{
$complex = Complex::validateComplexArgument($complex);
if ($complex->getReal() == 0.0) {
if ($complex->isReal()) {
return 0.0;
} elseif ($complex->getImaginary() < 0.0) {
return M_PI / -2;
}
return M_PI / 2;
} elseif ($complex->getReal() > 0.0) {
return \atan($complex->getImaginary() / $complex->getReal());
} elseif ($complex->getImaginary() < 0.0) {
return -(M_PI - \atan(\abs($complex->getImaginary()) / \abs($complex->getReal())));
}
return M_PI - \atan($complex->getImaginary() / \abs($complex->getReal()));
}
vendor/markbaker/complex/classes/src/operations/add.php
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<?php
/**
*
* Function code for the complex addition operation
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Adds two or more complex numbers
*
* @param array of string|integer|float|Complex $complexValues The numbers to add
* @return Complex
*/
function add(...$complexValues)
{
if (count($complexValues) < 2) {
throw new \Exception('This function requires at least 2 arguments');
}
$base = array_shift($complexValues);
$result = clone Complex::validateComplexArgument($base);
foreach ($complexValues as $complex) {
$complex = Complex::validateComplexArgument($complex);
if ($result->isComplex() && $complex->isComplex() &&
$result->getSuffix() !== $complex->getSuffix()) {
throw new Exception('Suffix Mismatch');
}
$real = $result->getReal() + $complex->getReal();
$imaginary = $result->getImaginary() + $complex->getImaginary();
$result = new Complex(
$real,
$imaginary,
($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
);
}
return $result;
}
vendor/markbaker/complex/classes/src/operations/divideby.php
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<?php
/**
*
* Function code for the complex division operation
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Divides two or more complex numbers
*
* @param array of string|integer|float|Complex $complexValues The numbers to divide
* @return Complex
*/
function divideby(...$complexValues)
{
if (count($complexValues) < 2) {
throw new \Exception('This function requires at least 2 arguments');
}
$base = array_shift($complexValues);
$result = clone Complex::validateComplexArgument($base);
foreach ($complexValues as $complex) {
$complex = Complex::validateComplexArgument($complex);
if ($result->isComplex() && $complex->isComplex() &&
$result->getSuffix() !== $complex->getSuffix()) {
throw new Exception('Suffix Mismatch');
}
if ($complex->getReal() == 0.0 && $complex->getImaginary() == 0.0) {
throw new \InvalidArgumentException('Division by zero');
}
$delta1 = ($result->getReal() * $complex->getReal()) +
($result->getImaginary() * $complex->getImaginary());
$delta2 = ($result->getImaginary() * $complex->getReal()) -
($result->getReal() * $complex->getImaginary());
$delta3 = ($complex->getReal() * $complex->getReal()) +
($complex->getImaginary() * $complex->getImaginary());
$real = $delta1 / $delta3;
$imaginary = $delta2 / $delta3;
$result = new Complex(
$real,
$imaginary,
($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
);
}
return $result;
}
vendor/markbaker/complex/classes/src/operations/divideinto.php
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<?php
/**
*
* Function code for the complex division operation
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Divides two or more complex numbers
*
* @param array of string|integer|float|Complex $complexValues The numbers to divide
* @return Complex
*/
function divideinto(...$complexValues)
{
if (count($complexValues) < 2) {
throw new \Exception('This function requires at least 2 arguments');
}
$base = array_shift($complexValues);
$result = clone Complex::validateComplexArgument($base);
foreach ($complexValues as $complex) {
$complex = Complex::validateComplexArgument($complex);
if ($result->isComplex() && $complex->isComplex() &&
$result->getSuffix() !== $complex->getSuffix()) {
throw new Exception('Suffix Mismatch');
}
if ($result->getReal() == 0.0 && $result->getImaginary() == 0.0) {
throw new \InvalidArgumentException('Division by zero');
}
$delta1 = ($complex->getReal() * $result->getReal()) +
($complex->getImaginary() * $result->getImaginary());
$delta2 = ($complex->getImaginary() * $result->getReal()) -
($complex->getReal() * $result->getImaginary());
$delta3 = ($result->getReal() * $result->getReal()) +
($result->getImaginary() * $result->getImaginary());
$real = $delta1 / $delta3;
$imaginary = $delta2 / $delta3;
$result = new Complex(
$real,
$imaginary,
($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
);
}
return $result;
}
vendor/markbaker/complex/classes/src/operations/multiply.php
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<?php
/**
*
* Function code for the complex multiplication operation
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Multiplies two or more complex numbers
*
* @param array of string|integer|float|Complex $complexValues The numbers to multiply
* @return Complex
*/
function multiply(...$complexValues)
{
if (count($complexValues) < 2) {
throw new \Exception('This function requires at least 2 arguments');
}
$base = array_shift($complexValues);
$result = clone Complex::validateComplexArgument($base);
foreach ($complexValues as $complex) {
$complex = Complex::validateComplexArgument($complex);
if ($result->isComplex() && $complex->isComplex() &&
$result->getSuffix() !== $complex->getSuffix()) {
throw new Exception('Suffix Mismatch');
}
$real = ($result->getReal() * $complex->getReal()) -
($result->getImaginary() * $complex->getImaginary());
$imaginary = ($result->getReal() * $complex->getImaginary()) +
($result->getImaginary() * $complex->getReal());
$result = new Complex(
$real,
$imaginary,
($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
);
}
return $result;
}
vendor/markbaker/complex/classes/src/operations/subtract.php
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<?php
/**
*
* Function code for the complex subtraction operation
*
* @copyright Copyright (c) 2013-2018 Mark Baker (https://github.com/MarkBaker/PHPComplex)
* @license https://opensource.org/licenses/MIT MIT
*/
namespace Complex;
/**
* Subtracts two or more complex numbers
*
* @param array of string|integer|float|Complex $complexValues The numbers to subtract
* @return Complex
*/
function subtract(...$complexValues)
{
if (count($complexValues) < 2) {
throw new \Exception('This function requires at least 2 arguments');
}
$base = array_shift($complexValues);
$result = clone Complex::validateComplexArgument($base);
foreach ($complexValues as $complex) {
$complex = Complex::validateComplexArgument($complex);
if ($result->isComplex() && $complex->isComplex() &&
$result->getSuffix() !== $complex->getSuffix()) {
throw new Exception('Suffix Mismatch');
}
$real = $result->getReal() - $complex->getReal();
$imaginary = $result->getImaginary() - $complex->getImaginary();
$result = new Complex(
$real,
$imaginary,
($imaginary == 0.0) ? null : max($result->getSuffix(), $complex->getSuffix())
);
}
return $result;
}
vendor/markbaker/complex/composer.json
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{
"name": "markbaker/complex",
"type": "library",
"description": "PHP Class for working with complex numbers",
"keywords": ["complex", "mathematics"],
"homepage": "https://github.com/MarkBaker/PHPComplex",
"license": "MIT",
"authors": [
{
"name": "Mark Baker",
"email": "mark@lange.demon.co.uk"
}
],
"require": {
"php": "^5.6.0|^7.0"
},
"require-dev": {
"phpunit/phpunit": "^4.8.35|^5.0|^6.0|^7.0",
"phpdocumentor/phpdocumentor":"2.*",
"phpmd/phpmd": "2.*",
"sebastian/phpcpd": "2.*",
"phploc/phploc": "^4.0|^5.0|^6.0|^7.0",
"squizlabs/php_codesniffer": "^3.4.0",
"phpcompatibility/php-compatibility": "^9.0",
"dealerdirect/phpcodesniffer-composer-installer": "^0.5.0"
},
"autoload": {
"psr-4": {
"Complex\\": "classes/src/"
},
"files": [
"classes/src/functions/abs.php",
"classes/src/functions/acos.php",
"classes/src/functions/acosh.php",
"classes/src/functions/acot.php",
"classes/src/functions/acoth.php",
"classes/src/functions/acsc.php",
"classes/src/functions/acsch.php",
"classes/src/functions/argument.php",
"classes/src/functions/asec.php",
"classes/src/functions/asech.php",
"classes/src/functions/asin.php",
"classes/src/functions/asinh.php",
"classes/src/functions/atan.php",
"classes/src/functions/atanh.php",
"classes/src/functions/conjugate.php",
"classes/src/functions/cos.php",
"classes/src/functions/cosh.php",
"classes/src/functions/cot.php",
"classes/src/functions/coth.php",
"classes/src/functions/csc.php",
"classes/src/functions/csch.php",
"classes/src/functions/exp.php",
"classes/src/functions/inverse.php",
"classes/src/functions/ln.php",
"classes/src/functions/log2.php",
"classes/src/functions/log10.php",
"classes/src/functions/negative.php",
"classes/src/functions/pow.php",
"classes/src/functions/rho.php",
"classes/src/functions/sec.php",
"classes/src/functions/sech.php",
"classes/src/functions/sin.php",
"classes/src/functions/sinh.php",
"classes/src/functions/sqrt.php",
"classes/src/functions/tan.php",
"classes/src/functions/tanh.php",
"classes/src/functions/theta.php",
"classes/src/operations/add.php",
"classes/src/operations/subtract.php",
"classes/src/operations/multiply.php",
"classes/src/operations/divideby.php",
"classes/src/operations/divideinto.php"
]
},
"scripts": {
"style": [
"phpcs --report-width=200 --report=summary,full -n"
],
"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"
}
vendor/markbaker/complex/examples/complexTest.php
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<?php
use Complex\Complex as Complex;
include('../classes/Bootstrap.php');
echo 'Create', PHP_EOL;
$x = new Complex(123);
echo $x, PHP_EOL;
$x = new Complex(123, 456);
echo $x, PHP_EOL;
$x = new Complex(array(123,456,'j'));
echo $x, PHP_EOL;
$x = new Complex('1.23e-4--2.34e-5i');
echo $x, PHP_EOL;
echo PHP_EOL, 'Add', PHP_EOL;
$x = new Complex(123);
$x->add(456);
echo $x, PHP_EOL;
$x = new Complex(123.456);
$x->add(789.012);
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->add(new Complex(-987.654, -32.1));
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->add(-987.654);
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->add(new Complex(0, 1));
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->add(new Complex(0, -1));
echo $x, PHP_EOL;
echo PHP_EOL, 'Subtract', PHP_EOL;
$x = new Complex(123);
$x->subtract(456);
echo $x, PHP_EOL;
$x = new Complex(123.456);
$x->subtract(789.012);
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->subtract(new Complex(-987.654, -32.1));
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->subtract(-987.654);
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->subtract(new Complex(0, 1));
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->subtract(new Complex(0, -1));
echo $x, PHP_EOL;
echo PHP_EOL, 'Multiply', PHP_EOL;
$x = new Complex(123);
$x->multiply(456);
echo $x, PHP_EOL;
$x = new Complex(123.456);
$x->multiply(789.012);
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->multiply(new Complex(-987.654, -32.1));
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->multiply(-987.654);
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->multiply(new Complex(0, 1));
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->multiply(new Complex(0, -1));
echo $x, PHP_EOL;
echo PHP_EOL, 'Divide By', PHP_EOL;
$x = new Complex(123);
$x->divideBy(456);
echo $x, PHP_EOL;
$x = new Complex(123.456);
$x->divideBy(789.012);
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->divideBy(new Complex(-987.654, -32.1));
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->divideBy(-987.654);
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->divideBy(new Complex(0, 1));
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->divideBy(new Complex(0, -1));
echo $x, PHP_EOL;
echo PHP_EOL, 'Divide Into', PHP_EOL;
$x = new Complex(123);
$x->divideInto(456);
echo $x, PHP_EOL;
$x = new Complex(123.456);
$x->divideInto(789.012);
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->divideInto(new Complex(-987.654, -32.1));
echo $x, PHP_EOL;
$x = new Complex(123.456, 78.90);
$x->divideInto(-987.654);
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->divideInto(new Complex(0, 1));
echo $x, PHP_EOL;
$x = new Complex(-987.654, -32.1);
$x->divideInto(new Complex(0, -1));
echo $x, PHP_EOL;
vendor/markbaker/complex/examples/testFunctions.php
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<?php
namespace Complex;
include('../classes/Bootstrap.php');
echo 'Function Examples', PHP_EOL;
$functions = array(
'abs',
'acos',
'acosh',
'acsc',
'acsch',
'argument',
'asec',
'asech',
'asin',
'asinh',
'conjugate',
'cos',
'cosh',
'csc',
'csch',
'exp',
'inverse',
'ln',
'log2',
'log10',
'rho',
'sec',
'sech',
'sin',
'sinh',
'sqrt',
'theta'
);
for ($real = -3.5; $real <= 3.5; $real += 0.5) {
for ($imaginary = -3.5; $imaginary <= 3.5; $imaginary += 0.5) {
foreach ($functions as $function) {
$complexFunction = __NAMESPACE__ . '\\' . $function;
$complex = new Complex($real, $imaginary);
try {
echo $function, '(', $complex, ') = ', $complexFunction($complex), PHP_EOL;
} catch (\Exception $e) {
echo $function, '(', $complex, ') ERROR: ', $e->getMessage(), PHP_EOL;
}
}
echo PHP_EOL;
}
}
vendor/markbaker/complex/examples/testOperations.php
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<?php
use Complex\Complex as Complex;
include('../classes/Bootstrap.php');
$values = [
new Complex(123),
new Complex(456, 123),
new Complex(0.0, 456),
];
foreach ($values as $value) {
echo $value, PHP_EOL;
}
echo 'Addition', PHP_EOL;
$result = \Complex\add(...$values);
echo '=> ', $result, PHP_EOL;
echo PHP_EOL;
echo 'Subtraction', PHP_EOL;
$result = \Complex\subtract(...$values);
echo '=> ', $result, PHP_EOL;
echo PHP_EOL;
echo 'Multiplication', PHP_EOL;
$result = \Complex\multiply(...$values);
echo '=> ', $result, PHP_EOL;
vendor/markbaker/complex/license.md
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The MIT License (MIT)
=====================
Copyright © `2017` `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.
vendor/markbaker/matrix/.github/workflows/main.yaml
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name: main
on: [ push, pull_request ]
jobs:
test:
runs-on: ubuntu-latest
strategy:
matrix:
php-version:
- '5.6'
- '7.0'
- '7.1'
- '7.2'
- '7.3'
- '7.4'
name: PHP ${{ matrix.php-version }}
steps:
- name: Checkout
uses: actions/checkout@v2
- name: Setup PHP, with composer and extensions
uses: shivammathur/setup-php@v2
with:
php-version: ${{ matrix.php-version }}
extensions: ctype, dom, gd, iconv, fileinfo, libxml, mbstring, simplexml, xml, xmlreader, xmlwriter, zip, zlib
coverage: none
- name: Get composer cache directory
id: composer-cache
run: echo "::set-output name=dir::$(composer config cache-files-dir)"
- name: Cache composer dependencies
uses: actions/cache@v2
with:
path: ${{ steps.composer-cache.outputs.dir }}
key: ${{ runner.os }}-composer-${{ hashFiles('**/composer.lock') }}
restore-keys: ${{ runner.os }}-composer-
- name: Install dependencies
run: composer install --no-progress --prefer-dist --optimize-autoloader ${{ steps.composer-lock.outputs.flags }}
- name: Setup problem matchers for PHP
run: echo "::add-matcher::${{ runner.tool_cache }}/php.json"
- name: Setup problem matchers for PHPUnit
run: echo "::add-matcher::${{ runner.tool_cache }}/phpunit.json"
- name: Test with PHPUnit
run: ./vendor/bin/phpunit
phpcs:
runs-on: ubuntu-latest
steps:
- name: Checkout
uses: actions/checkout@v2
- name: Setup PHP, with composer and extensions
uses: shivammathur/setup-php@v2
with:
php-version: 7.4
extensions: ctype, dom, gd, iconv, fileinfo, libxml, mbstring, simplexml, xml, xmlreader, xmlwriter, zip, zlib
coverage: none
tools: cs2pr
- name: Get composer cache directory
id: composer-cache
run: echo "::set-output name=dir::$(composer config cache-files-dir)"
- name: Cache composer dependencies
uses: actions/cache@v2
with:
path: ${{ steps.composer-cache.outputs.dir }}
key: ${{ runner.os }}-composer-${{ hashFiles('**/composer.lock') }}
restore-keys: ${{ runner.os }}-composer-
- name: Install dependencies
run: composer install --no-progress --prefer-dist --optimize-autoloader
- name: Code style with PHP_CodeSniffer
run: ./vendor/bin/phpcs -q --report=checkstyle | cs2pr --graceful-warnings --colorize
coverage:
runs-on: ubuntu-latest
steps:
- name: Checkout
uses: actions/checkout@v2
- name: Setup PHP, with composer and extensions
uses: shivammathur/setup-php@v2
with:
php-version: 7.4
extensions: ctype, dom, gd, iconv, fileinfo, libxml, mbstring, simplexml, xml, xmlreader, xmlwriter, zip, zlib
coverage: pcov
- name: Get composer cache directory
id: composer-cache
run: echo "::set-output name=dir::$(composer config cache-files-dir)"
- name: Cache composer dependencies
uses: actions/cache@v2
with:
path: ${{ steps.composer-cache.outputs.dir }}
key: ${{ runner.os }}-composer-${{ hashFiles('**/composer.lock') }}
restore-keys: ${{ runner.os }}-composer-
- name: Install dependencies
run: composer install --no-progress --prefer-dist --optimize-autoloader
- name: Coverage
run: |
./vendor/bin/phpunit --coverage-text
vendor/markbaker/matrix/README.md
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PHPMatrix
==========
---
PHP Class for handling Matrices
[![Build Status](https://travis-ci.org/MarkBaker/PHPMatrix.png?branch=1.2)](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
- solve
Given Matrices A and B, calculate X for A.X = B
and classes for
- Decomposition
- LU Decomposition with partial row pivoting,
such that [P].[A] = [L].[U] and [A] = [P]<sup>|</sup>.[L].[U]
- QR Decomposition
such that [A] = [Q].[R]
## TO DO
- power() function
- Decomposition
- Cholesky Decomposition
- EigenValue Decomposition
- EigenValues
- EigenVectors
---
# Usage
To create a new Matrix object, provide an array as the constructor argument
```php
$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.
```php
$matrix = Matrix\Builder::createFilledMatrix(1, 5, 3);
```
Will create a matrix of 5 rows and 3 columns, filled with a `1` in every cell; while
```php
$matrix = 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
```php
$matrix1 = new Matrix\Matrix([
[2, 7, 6],
[9, 5, 1],
[4, 3, 8],
]);
$matrix2 = new Matrix\Matrix([
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
]);
var_dump($matrix1->multiply($matrix2)->toArray());
```
or pass all values to the appropriate function
```php
$matrix1 = new Matrix\Matrix([
[2, 7, 6],
[9, 5, 1],
[4, 3, 8],
]);
$matrix2 = new Matrix\Matrix([
[1, 2, 3],
[4, 5, 6],
[7, 8, 9],
]);
var_dump(Matrix\multiply($matrix1, $matrix2)->toArray());
```
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
```php
$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
```php
$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.
```php
$grid = [
[16, 3, 2, 13],
[ 5, 10, 11, 8],
[ 9, 6, 7, 12],
[ 4, 15, 14, 1],
];
echo Matrix\trace($grid);
```
As an alternative, it is also possible to call the method directly from the `Functions` class.
```php
$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.
## Decomposition
The library also provides classes for matrix decomposition. You can access these using
```php
$grid = [
[1, 2],
[3, 4],
];
$matrix = new Matrix\Matrix($grid);
$decomposition = new Matrix\Decomposition\QR($matrix);
$Q = $decomposition->getQ();
$R = $decomposition->getR();
```
or alternatively us the `Decomposition` factory, identifying which form of decomposition you want to use
```php
$grid = [
[1, 2],
[3, 4],
];
$matrix = new Matrix\Matrix($grid);
$decomposition = Matrix\Decomposition\Decomposition::decomposition(Matrix\Decomposition\Decomposition::QR, $matrix);
$Q = $decomposition->getQ();
$R = $decomposition->getR();
```
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();
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);
}
}
vendor/markbaker/matrix/classes/src/Decomposition/Decomposition.php
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<?php
namespace Matrix\Decomposition;
use Matrix\Exception;
use Matrix\Matrix;
class Decomposition
{
const LU = 'LU';
const QR = 'QR';
/**
* @throws Exception
*/
public static function decomposition($type, Matrix $matrix)
{
switch (strtoupper($type)) {
case self::LU:
return new LU($matrix);
case self::QR:
return new QR($matrix);
default:
throw new Exception('Invalid Decomposition');
}
}
}
vendor/markbaker/matrix/classes/src/Decomposition/LU.php
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<?php
namespace Matrix\Decomposition;
use Matrix\Exception;
use Matrix\Matrix;
class LU
{
private $luMatrix;
private $rows;
private $columns;
private $pivot = [];
public function __construct(Matrix $matrix)
{
$this->luMatrix = $matrix->toArray();
$this->rows = $matrix->rows;
$this->columns = $matrix->columns;
$this->buildPivot();
}
/**
* Get lower triangular factor.
*
* @return Matrix Lower triangular factor
*/
public function getL()
{
$lower = [];
$columns = min($this->rows, $this->columns);
for ($row = 0; $row < $this->rows; ++$row) {
for ($column = 0; $column < $columns; ++$column) {
if ($row > $column) {
$lower[$row][$column] = $this->luMatrix[$row][$column];
} elseif ($row === $column) {
$lower[$row][$column] = 1.0;
} else {
$lower[$row][$column] = 0.0;
}
}
}
return new Matrix($lower);
}
/**
* Get upper triangular factor.
*
* @return Matrix Upper triangular factor
*/
public function getU()
{
$upper = [];
$rows = min($this->rows, $this->columns);
for ($row = 0; $row < $rows; ++$row) {
for ($column = 0; $column < $this->columns; ++$column) {
if ($row <= $column) {
$upper[$row][$column] = $this->luMatrix[$row][$column];
} else {
$upper[$row][$column] = 0.0;
}
}
}
return new Matrix($upper);
}
/**
* Return pivot permutation vector.
*
* @return Matrix Pivot matrix
*/
public function getP()
{
$pMatrix = [];
$pivots = $this->pivot;
$pivotCount = count($pivots);
foreach ($pivots as $row => $pivot) {
$pMatrix[$row] = array_fill(0, $pivotCount, 0);
$pMatrix[$row][$pivot] = 1;
}
return new Matrix($pMatrix);
}
/**
* Return pivot permutation vector.
*
* @return array Pivot vector
*/
public function getPivot()
{
return $this->pivot;
}
/**
* Is the matrix nonsingular?
*
* @return bool true if U, and hence A, is nonsingular
*/
public function isNonsingular()
{
for ($diagonal = 0; $diagonal < $this->columns; ++$diagonal) {
if ($this->luMatrix[$diagonal][$diagonal] === 0.0) {
return false;
}
}
return true;
}
private function buildPivot()
{
for ($row = 0; $row < $this->rows; ++$row) {
$this->pivot[$row] = $row;
}
for ($column = 0; $column < $this->columns; ++$column) {
$luColumn = $this->localisedReferenceColumn($column);
$this->applyTransformations($column, $luColumn);
$pivot = $this->findPivot($column, $luColumn);
if ($pivot !== $column) {
$this->pivotExchange($pivot, $column);
}
$this->computeMultipliers($column);
unset($luColumn);
}
}
private function localisedReferenceColumn($column)
{
$luColumn = [];
for ($row = 0; $row < $this->rows; ++$row) {
$luColumn[$row] = &$this->luMatrix[$row][$column];
}
return $luColumn;
}
private function applyTransformations($column, array $luColumn)
{
for ($row = 0; $row < $this->rows; ++$row) {
$luRow = $this->luMatrix[$row];
// Most of the time is spent in the following dot product.
$kmax = min($row, $column);
$sValue = 0.0;
for ($kValue = 0; $kValue < $kmax; ++$kValue) {
$sValue += $luRow[$kValue] * $luColumn[$kValue];
}
$luRow[$column] = $luColumn[$row] -= $sValue;
}
}
private function findPivot($column, array $luColumn)
{
$pivot = $column;
for ($row = $column + 1; $row < $this->rows; ++$row) {
if (abs($luColumn[$row]) > abs($luColumn[$pivot])) {
$pivot = $row;
}
}
return $pivot;
}
private function pivotExchange($pivot, $column)
{
for ($kValue = 0; $kValue < $this->columns; ++$kValue) {
$tValue = $this->luMatrix[$pivot][$kValue];
$this->luMatrix[$pivot][$kValue] = $this->luMatrix[$column][$kValue];
$this->luMatrix[$column][$kValue] = $tValue;
}
$lValue = $this->pivot[$pivot];
$this->pivot[$pivot] = $this->pivot[$column];
$this->pivot[$column] = $lValue;
}
private function computeMultipliers($diagonal)
{
if (($diagonal < $this->rows) && ($this->luMatrix[$diagonal][$diagonal] != 0.0)) {
for ($row = $diagonal + 1; $row < $this->rows; ++$row) {
$this->luMatrix[$row][$diagonal] /= $this->luMatrix[$diagonal][$diagonal];
}
}
}
private function pivotB(Matrix $B)
{
$X = [];
foreach ($this->pivot as $rowId) {
$row = $B->getRows($rowId + 1)->toArray();
$X[] = array_pop($row);
}
return $X;
}
/**
* Solve A*X = B.
*
* @param Matrix $B a Matrix with as many rows as A and any number of columns
*
* @throws Exception
*
* @return Matrix X so that L*U*X = B(piv,:)
*/
public function solve(Matrix $B)
{
if ($B->rows !== $this->rows) {
throw new Exception('Matrix row dimensions are not equal');
}
if ($this->rows !== $this->columns) {
throw new Exception('LU solve() only works on square matrices');
}
if (!$this->isNonsingular()) {
throw new Exception('Can only perform operation on singular matrix');
}
// Copy right hand side with pivoting
$nx = $B->columns;
$X = $this->pivotB($B);
// Solve L*Y = B(piv,:)
for ($k = 0; $k < $this->columns; ++$k) {
for ($i = $k + 1; $i < $this->columns; ++$i) {
for ($j = 0; $j < $nx; ++$j) {
$X[$i][$j] -= $X[$k][$j] * $this->luMatrix[$i][$k];
}
}
}
// Solve U*X = Y;
for ($k = $this->columns - 1; $k >= 0; --$k) {
for ($j = 0; $j < $nx; ++$j) {
$X[$k][$j] /= $this->luMatrix[$k][$k];
}
for ($i = 0; $i < $k; ++$i) {
for ($j = 0; $j < $nx; ++$j) {
$X[$i][$j] -= $X[$k][$j] * $this->luMatrix[$i][$k];
}
}
}
return new Matrix($X);
}
}
vendor/markbaker/matrix/classes/src/Decomposition/QR.php
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<?php
namespace Matrix\Decomposition;
use Matrix\Exception;
use Matrix\Matrix;
class QR
{
private $qrMatrix;
private $rows;
private $columns;
private $rDiagonal = [];
public function __construct(Matrix $matrix)
{
$this->qrMatrix = $matrix->toArray();
$this->rows = $matrix->rows;
$this->columns = $matrix->columns;
$this->decompose();
}
public function getHouseholdVectors()
{
$householdVectors = [];
for ($row = 0; $row < $this->rows; ++$row) {
for ($column = 0; $column < $this->columns; ++$column) {
if ($row >= $column) {
$householdVectors[$row][$column] = $this->qrMatrix[$row][$column];
} else {
$householdVectors[$row][$column] = 0.0;
}
}
}
return new Matrix($householdVectors);
}
public function getQ()
{
$qGrid = [];
$rowCount = $this->rows;
for ($k = $this->columns - 1; $k >= 0; --$k) {
for ($i = 0; $i < $this->rows; ++$i) {
$qGrid[$i][$k] = 0.0;
}
$qGrid[$k][$k] = 1.0;
if ($this->columns > $this->rows) {
$qGrid = array_slice($qGrid, 0, $this->rows);
}
for ($j = $k; $j < $this->columns; ++$j) {
if (isset($this->qrMatrix[$k], $this->qrMatrix[$k][$k]) && $this->qrMatrix[$k][$k] != 0.0) {
$s = 0.0;
for ($i = $k; $i < $this->rows; ++$i) {
$s += $this->qrMatrix[$i][$k] * $qGrid[$i][$j];
}
$s = -$s / $this->qrMatrix[$k][$k];
for ($i = $k; $i < $this->rows; ++$i) {
$qGrid[$i][$j] += $s * $this->qrMatrix[$i][$k];
}
}
}
}
array_walk(
$qGrid,
function (&$row) use ($rowCount) {
$row = array_reverse($row);
$row = array_slice($row, 0, $rowCount);
}
);
return new Matrix($qGrid);
}
public function getR()
{
$rGrid = [];
for ($row = 0; $row < $this->columns; ++$row) {
for ($column = 0; $column < $this->columns; ++$column) {
if ($row < $column) {
$rGrid[$row][$column] = isset($this->qrMatrix[$row][$column]) ? $this->qrMatrix[$row][$column] : 0.0;
} elseif ($row === $column) {
$rGrid[$row][$column] = isset($this->rDiagonal[$row]) ? $this->rDiagonal[$row] : 0.0;
} else {
$rGrid[$row][$column] = 0.0;
}
}
}
if ($this->columns > $this->rows) {
$rGrid = array_slice($rGrid, 0, $this->rows);
}
return new Matrix($rGrid);
}
private function hypo($a, $b)
{
if (abs($a) > abs($b)) {
$r = $b / $a;
$r = abs($a) * sqrt(1 + $r * $r);
} elseif ($b != 0.0) {
$r = $a / $b;
$r = abs($b) * sqrt(1 + $r * $r);
} else {
$r = 0.0;
}
return $r;
}
/**
* QR Decomposition computed by Householder reflections.
*/
private function decompose()
{
for ($k = 0; $k < $this->columns; ++$k) {
// Compute 2-norm of k-th column without under/overflow.
$norm = 0.0;
for ($i = $k; $i < $this->rows; ++$i) {
$norm = $this->hypo($norm, $this->qrMatrix[$i][$k]);
}
if ($norm != 0.0) {
// Form k-th Householder vector.
if ($this->qrMatrix[$k][$k] < 0.0) {
$norm = -$norm;
}
for ($i = $k; $i < $this->rows; ++$i) {
$this->qrMatrix[$i][$k] /= $norm;
}
$this->qrMatrix[$k][$k] += 1.0;
// Apply transformation to remaining columns.
for ($j = $k + 1; $j < $this->columns; ++$j) {
$s = 0.0;
for ($i = $k; $i < $this->rows; ++$i) {
$s += $this->qrMatrix[$i][$k] * $this->qrMatrix[$i][$j];
}
$s = -$s / $this->qrMatrix[$k][$k];
for ($i = $k; $i < $this->rows; ++$i) {
$this->qrMatrix[$i][$j] += $s * $this->qrMatrix[$i][$k];
}
}
}
$this->rDiagonal[$k] = -$norm;
}
}
/**
* @return bool
*/
public function isFullRank()
{
for ($j = 0; $j < $this->columns; ++$j) {
if ($this->rDiagonal[$j] == 0.0) {
return false;
}
}
return true;
}
/**
* Least squares solution of A*X = B.
*
* @param Matrix $B a Matrix with as many rows as A and any number of columns
*
* @throws Exception
*
* @return Matrix matrix that minimizes the two norm of Q*R*X-B
*/
public function solve(Matrix $B)
{
if ($B->rows !== $this->rows) {
throw new Exception('Matrix row dimensions are not equal');
}
if (!$this->isFullRank()) {
throw new Exception('Can only perform this operation on a full-rank matrix');
}
// Compute Y = transpose(Q)*B
$Y = $this->getQ()->transpose()
->multiply($B);
// Solve R*X = Y;
return $this->getR()->inverse()
->multiply($Y);
}
}
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
{
}
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);
}
}
vendor/markbaker/matrix/classes/src/Functions/adjoint.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/antidiagonal.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/cofactors.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/determinant.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/diagonal.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/identity.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/inverse.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/minors.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/trace.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Functions/transpose.php
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<?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);
}
vendor/markbaker/matrix/classes/src/Matrix.php
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<?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;
use Generator;
use Matrix\Decomposition\LU;
use Matrix\Decomposition\QR;
/**
* 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)
* @method Matrix directsum(...$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][$column - 1];
}
/**
* Returns a Generator that will yield each row of the matrix in turn as a vector matrix
* or the value of each cell if the matrix is a column vector
*
* @return Generator|Matrix[]|mixed[]
*/
public function rows()
{
foreach ($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 row 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;
}
/**
* Solve A*X = B.
*
* @param Matrix $B Right hand side
*
* @throws Exception
*
* @return Matrix ... Solution if A is square, least squares solution otherwise
*/
public function solve(Matrix $B)
{
if ($this->columns === $this->rows) {
return (new LU($this))->solve($B);
}
return (new QR($this))->solve($B);
}
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::$functions, true) || in_array($functionName, self::$operations, true)) {
$functionName = "\\" . __NAMESPACE__ . "\\{$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');
}
}
vendor/markbaker/matrix/classes/src/Operations/add.php
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<?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();
}
vendor/markbaker/matrix/classes/src/Operations/directsum.php
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<?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();
}
vendor/markbaker/matrix/classes/src/Operations/divideby.php
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<?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();
}
vendor/markbaker/matrix/classes/src/Operations/divideinto.php
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<?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');
}
$matrix = array_pop($matrixValues);
$matrixValues = array_reverse($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();
}
vendor/markbaker/matrix/classes/src/Operations/multiply.php
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<?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();
}
vendor/markbaker/matrix/classes/src/Operations/subtract.php
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<?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();
}
vendor/markbaker/matrix/classes/src/Operators/Addition.php
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<?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;
}
}
vendor/markbaker/matrix/classes/src/Operators/DirectSum.php
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<?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;
}
}
vendor/markbaker/matrix/classes/src/Operators/Division.php
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<?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');
}
}
vendor/markbaker/matrix/classes/src/Operators/Multiplication.php
Vendored
+77
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<?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;
}
}
vendor/markbaker/matrix/classes/src/Operators/Operator.php
Vendored
+78
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<?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);
}
}
vendor/markbaker/matrix/classes/src/Operators/Subtraction.php
Vendored
+68
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<?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;
}
}
vendor/markbaker/matrix/composer.json
Vendored
+82
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@@ -0,0 +1,82 @@
{
"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|^6.0|7.0",
"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": {
"MatrixTest\\": "unitTests/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"
]
},
"scripts": {
"style": "phpcs --standard=PSR2 --report-width=200 --report=summary,full classes/src/ unitTests/classes/src -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",
"coverage": "phpunit -c phpunit.xml.dist --coverage-text --coverage-html ./build/coverage"
},
"minimum-stability": "dev"
}
vendor/markbaker/matrix/examples/test.php
Vendored
+19
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@@ -0,0 +1,19 @@
<?php
include __DIR__ . '/../vendor/autoload.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);
vendor/markbaker/matrix/infection.json.dist
Vendored
+17
View File
@@ -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
}
}

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