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<?php |
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declare(strict_types=1); |
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namespace Ctefan\Kiwi; |
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use Ctefan\Kiwi\Exception\NonlinearExpressionException; |
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class Symbolics |
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{ |
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/** |
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* Symbolics constructor. |
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*/ |
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protected function __construct() |
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{ |
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} |
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/** |
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* @param mixed $a |
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* @param mixed $b |
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* @return mixed |
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*/ |
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static public function multiply($a, $b) |
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{ |
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return self::_callMethodForArguments($a, $b, 'multiply%sWith%s'); |
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} |
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/** |
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* @param mixed $a |
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* @param mixed $b |
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* @return mixed |
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*/ |
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static public function divide($a, $b) |
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{ |
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return self::_callMethodForArguments($a, $b, 'divide%2$sBy$1$s'); |
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} |
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/** |
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* @param mixed $subject |
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* @return mixed |
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*/ |
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static public function negate($subject) |
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{ |
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return self::_callMethodForArguments($subject, null, 'negate%s'); |
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} |
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/** |
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* @param mixed $a |
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* @param mixed $b |
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* @return Expression |
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*/ |
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static public function add($a, $b): Expression |
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{ |
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return self::_callMethodForArguments($a, $b, 'add%2$sTo%1$s'); |
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} |
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/** |
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* @param mixed $a |
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* @param mixed $b |
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* @return Expression |
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*/ |
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static public function subtract($a, $b): Expression |
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{ |
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return self::_callMethodForArguments($a, $b, 'subtract$2$sFrom%1$s'); |
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} |
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/** |
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* @param mixed $a |
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* @param mixed $b |
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* @return Constraint |
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*/ |
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static public function equals($a, $b): Constraint |
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{ |
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return self::_callMethodForArguments($a, $b, 'equals%s%s'); |
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} |
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/** |
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* @param mixed $a |
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* @param mixed $b |
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* @return Constraint |
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*/ |
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static public function lessThanOrEquals($a, $b): Constraint |
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{ |
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return self::_callMethodForArguments($a, $b, 'lessThanOrEquals%s%s'); |
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} |
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/** |
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* @param mixed $a |
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* @param mixed $b |
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* @return Constraint |
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*/ |
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static public function greaterThanOrEquals($a, $b): Constraint |
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{ |
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return self::_callMethodForArguments($a, $b, 'greaterThanOrEquals%s%s'); |
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} |
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/** |
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* @var array |
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*/ |
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static private $names = [ |
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Expression::class => 'Expression', |
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Term::class => 'Term', |
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Variable::class => 'Variable', |
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'double' => 'Constant', |
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'integer' => 'Constant', |
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'NULL' => '', |
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]; |
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/** |
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* @param mixed $a |
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* @param mixed $b |
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* @param string $format |
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* @return mixed |
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*/ |
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static private function _callMethodForArguments($a, $b, string $format) |
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{ |
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// TODO check for invalid argument types |
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$methodName = sprintf( |
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$format, |
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self::$names[is_object($a) ? get_class($a) : gettype($a)], |
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self::$names[is_object($b) ? get_class($b) : gettype($b)] |
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); |
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if (false === method_exists(self::class, $methodName)) { |
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throw new \InvalidArgumentException("Method $methodName does not exist."); |
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} |
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return self::$methodName($a, $b); |
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} |
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/* |
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* Term factory methods. |
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*/ |
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/** |
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* @param Variable $variable |
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* @param float $coefficient |
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* @return Term |
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*/ |
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static public function multiplyVariableWithConstant(Variable $variable, float $coefficient): Term |
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{ |
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return new Term($variable, $coefficient); |
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} |
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/** |
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* @param Variable $variable |
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* @param float $denominator |
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* @return Term |
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*/ |
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static public function divideVariableByConstant(Variable $variable, float $denominator): Term |
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{ |
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return self::multiplyVariableWithConstant($variable, 1.0 / $denominator); |
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} |
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/** |
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* @param Variable $variable |
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* @return Term |
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*/ |
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static public function negateVariable(Variable $variable): Term |
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{ |
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return self::multiply($variable, -1.0); |
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} |
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/** |
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* @param Term $term |
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* @param float $coefficient |
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* @return Term |
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*/ |
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static public function multiplyTermWithConstant(Term $term, float $coefficient): Term |
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{ |
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return new Term($term->getVariable(), $term->getCoefficient() * $coefficient); |
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} |
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/** |
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* @param Term $term |
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* @param float $denominator |
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* @return Term |
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*/ |
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static public function divideTermByConstant(Term $term, float $denominator): Term |
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{ |
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return self::multiplyTermWithConstant($term, 1.0 / $denominator); |
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} |
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/** |
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* @param Term $term |
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* @return Term |
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*/ |
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static public function negateTerm(Term $term): Term |
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{ |
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return self::multiplyTermWithConstant($term, -1.0); |
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} |
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/* |
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* Expression factory methods. |
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*/ |
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/** |
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* @param Expression $expression |
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* @param float $coefficient |
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* @return Expression |
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*/ |
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static public function multiplyExpressionWithConstant(Expression $expression, float $coefficient): Expression |
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{ |
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$terms = []; |
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foreach ($expression->getTerms() as $term) { |
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$terms[] = self::multiplyTermWithConstant($term, $coefficient); |
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} |
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return new Expression($terms, $expression->getConstant() * $coefficient); |
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} |
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/** |
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* @param Expression $a |
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* @param Expression $b |
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* @return Expression |
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* @throws NonlinearExpressionException |
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*/ |
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static public function multiplyExpressionWithExpression(Expression $a, Expression $b): Expression |
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{ |
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if (true === $a->isConstant()) { |
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return self::multiplyExpressionWithConstant($b, $a->getConstant()); |
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} elseif (true === $b->isConstant()) { |
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return self::multiplyExpressionWithConstant($a, $b->getConstant()); |
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} else { |
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throw new NonlinearExpressionException(); |
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} |
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} |
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/** |
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* @param Expression $expression |
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* @param float $denominator |
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* @return Expression |
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*/ |
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static public function divideExpressioByConstant(Expression $expression, float $denominator): Expression |
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{ |
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return self::multiplyExpressionWithConstant($expression, 1.0 / $denominator); |
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} |
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/** |
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* @param Expression $a |
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* @param Expression $b |
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* @return Expression |
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* @throws NonlinearExpressionException |
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*/ |
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static public function divideExpressionByExpression(Expression $a, Expression $b): Expression |
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{ |
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if (true === $b->isConstant()) { |
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return self::divideExpressioByConstant($a, $b->getConstant()); |
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} else { |
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throw new NonlinearExpressionException(); |
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} |
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} |
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/** |
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* @param Expression $expression |
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* @return Expression |
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*/ |
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static public function negateExpression(Expression $expression): Expression |
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{ |
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return self::multiplyExpressionWithConstant($expression, -1.0); |
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} |
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/** |
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* @param Expression $a |
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* @param Expression $b |
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* @return Expression |
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*/ |
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static public function addExpressionToExpression(Expression $a, Expression $b): Expression |
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{ |
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$terms = array_merge($a->getTerms(), $b->getTerms()); |
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return new Expression($terms, $a->getConstant() + $b->getConstant()); |
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} |
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/** |
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* @param Expression $expression |
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* @param Term $term |
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* @return Expression |
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*/ |
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static public function addTermToExpression(Expression $expression, Term $term): Expression |
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{ |
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$terms = $expression->getTerms(); |
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$terms[] = $term; |
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return new Expression($terms, $expression->getConstant()); |
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} |
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/** |
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* @param Expression $expression |
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* @param Variable $variable |
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* @return Expression |
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*/ |
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static public function addVariableToExpression(Expression $expression, Variable $variable): Expression |
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{ |
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return self::addTermToExpression($expression, new Term($variable)); |
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} |
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/** |
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* @param Expression $expression |
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* @param float $constant |
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* @return Expression |
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*/ |
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static public function addConstantToExpression(Expression $expression, float $constant): Expression |
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{ |
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return new Expression($expression->getTerms(), $expression->getConstant() + $constant); |
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} |
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/** |
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* @param Expression $a |
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* @param Expression $b |
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* @return Expression |
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*/ |
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21 |
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static public function subtractExpressionFromExpression(Expression $a, Expression $b): Expression |
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{ |
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21 |
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return self::addExpressionToExpression($a, self::negateExpression($b)); |
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} |
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/** |
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* @param Expression $expression |
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* @param Term $term |
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* @return Expression |
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*/ |
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static public function subtractTermFromExpression(Expression $expression, Term $term): Expression |
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{ |
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return self::addTermToExpression($expression, self::negateTerm($term)); |
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} |
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/** |
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* @param Expression $expression |
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* @param Variable $variable |
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* @return Expression |
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*/ |
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static public function subtractVariableFromExpression(Expression $expression, Variable $variable): Expression |
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{ |
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return self::addTermToExpression($expression, self::negateVariable($variable)); |
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} |
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/** |
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* @param Expression $expression |
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337
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* @param float $constant |
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338
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* @return Expression |
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339
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*/ |
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340
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static public function subtractConstantFromExpression(Expression $expression, float $constant): Expression |
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341
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{ |
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342
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return self::addConstantToExpression($expression, -$constant); |
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343
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} |
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345
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/** |
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* @param Term $term |
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347
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* @param Expression $expression |
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348
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|
* @return Expression |
|
349
|
|
|
*/ |
|
350
|
|
|
static public function addExpressionToTerm(Term $term, Expression $expression): Expression |
|
351
|
|
|
{ |
|
352
|
|
|
return self::addTermToExpression($expression, $term); |
|
353
|
|
|
} |
|
354
|
|
|
|
|
355
|
|
|
/** |
|
356
|
|
|
* @param Term $a |
|
357
|
|
|
* @param Term $b |
|
358
|
|
|
* @return Expression |
|
359
|
|
|
*/ |
|
360
|
|
|
static public function addTermToTerm(Term $a, Term $b): Expression |
|
361
|
|
|
{ |
|
362
|
|
|
$terms = [$a, $b]; |
|
363
|
|
|
return new Expression($terms); |
|
364
|
|
|
} |
|
365
|
|
|
|
|
366
|
|
|
/** |
|
367
|
|
|
* @param Term $term |
|
368
|
|
|
* @param Variable $variable |
|
369
|
|
|
* @return Expression |
|
370
|
|
|
*/ |
|
371
|
|
|
static public function addVariableToTerm(Term $term, Variable $variable): Expression |
|
372
|
|
|
{ |
|
373
|
|
|
return self::addTermToTerm($term, new Term($variable)); |
|
374
|
|
|
} |
|
375
|
|
|
|
|
376
|
|
|
/** |
|
377
|
|
|
* @param Term $term |
|
378
|
|
|
* @param float $constant |
|
379
|
|
|
* @return Expression |
|
380
|
|
|
*/ |
|
381
|
3 |
|
static public function addConstantToTerm(Term $term, float $constant): Expression |
|
382
|
|
|
{ |
|
383
|
3 |
|
return new Expression([$term], $constant); |
|
384
|
|
|
} |
|
385
|
|
|
|
|
386
|
|
|
/** |
|
387
|
|
|
* @param Term $term |
|
388
|
|
|
* @param Expression $expression |
|
389
|
|
|
* @return Expression |
|
390
|
|
|
*/ |
|
391
|
|
|
static public function subtractExpressionFromTerm(Term $term, Expression $expression): Expression |
|
392
|
|
|
{ |
|
393
|
|
|
return self::addTermToExpression(self::negateExpression($expression), $term); |
|
394
|
|
|
} |
|
395
|
|
|
|
|
396
|
|
|
/** |
|
397
|
|
|
* @param Term $a |
|
398
|
|
|
* @param Term $b |
|
399
|
|
|
* @return Expression |
|
400
|
|
|
*/ |
|
401
|
|
|
static public function subtractTermFromTerm(Term $a, Term $b): Expression |
|
402
|
|
|
{ |
|
403
|
|
|
return self::addTermToTerm($a, self::negateTerm($b)); |
|
404
|
|
|
} |
|
405
|
|
|
|
|
406
|
|
|
/** |
|
407
|
|
|
* @param Term $term |
|
408
|
|
|
* @param Variable $variable |
|
409
|
|
|
* @return Expression |
|
410
|
|
|
*/ |
|
411
|
|
|
static public function subtractVariableFromTerm(Term $term, Variable $variable): Expression |
|
412
|
|
|
{ |
|
413
|
|
|
return self::addTermToTerm($term, self::negateVariable($variable)); |
|
414
|
|
|
} |
|
415
|
|
|
|
|
416
|
|
|
/** |
|
417
|
|
|
* @param Term $term |
|
418
|
|
|
* @param float $constant |
|
419
|
|
|
* @return Expression |
|
420
|
|
|
*/ |
|
421
|
|
|
static public function subtractConstantFromTerm(Term $term, float $constant): Expression |
|
422
|
|
|
{ |
|
423
|
|
|
return self::addConstantToTerm($term, -$constant); |
|
424
|
|
|
} |
|
425
|
|
|
|
|
426
|
|
|
/** |
|
427
|
|
|
* @param Variable $variable |
|
428
|
|
|
* @param Expression $expression |
|
429
|
|
|
* @return Expression |
|
430
|
|
|
*/ |
|
431
|
|
|
static public function addExpressionToVariable(Variable $variable, Expression $expression): Expression |
|
432
|
|
|
{ |
|
433
|
|
|
return self::addVariableToExpression($expression, $variable); |
|
434
|
|
|
} |
|
435
|
|
|
|
|
436
|
|
|
/** |
|
437
|
|
|
* @param Variable $variable |
|
438
|
|
|
* @param Term $term |
|
439
|
|
|
* @return Expression |
|
440
|
|
|
*/ |
|
441
|
|
|
static public function addTermToVariable(Variable $variable, Term $term): Expression |
|
442
|
|
|
{ |
|
443
|
|
|
return self::addVariableToTerm($term, $variable); |
|
444
|
|
|
} |
|
445
|
|
|
|
|
446
|
|
|
/** |
|
447
|
|
|
* @param Variable $a |
|
448
|
|
|
* @param Variable $b |
|
449
|
|
|
* @return Expression |
|
450
|
|
|
*/ |
|
451
|
|
|
static public function addVariableToVariable(Variable $a, Variable $b): Expression |
|
452
|
|
|
{ |
|
453
|
|
|
return self::addVariableToTerm(new Term($a), $b); |
|
454
|
|
|
} |
|
455
|
|
|
|
|
456
|
|
|
/** |
|
457
|
|
|
* @param Variable $variable |
|
458
|
|
|
* @param float $constant |
|
459
|
|
|
* @return Expression |
|
460
|
|
|
*/ |
|
461
|
3 |
|
static public function addConstantToVariable(Variable $variable, float $constant): Expression |
|
462
|
|
|
{ |
|
463
|
3 |
|
return self::addConstantToTerm(new Term($variable), $constant); |
|
464
|
|
|
} |
|
465
|
|
|
|
|
466
|
|
|
/** |
|
467
|
|
|
* @param Variable $variable |
|
468
|
|
|
* @param Expression $expression |
|
469
|
|
|
* @return Expression |
|
470
|
|
|
*/ |
|
471
|
|
|
static public function subtractExpressionFromVariable(Variable $variable, Expression $expression): Expression |
|
472
|
|
|
{ |
|
473
|
|
|
return self::addExpressionToVariable($variable, self::negateExpression($expression)); |
|
474
|
|
|
} |
|
475
|
|
|
|
|
476
|
|
|
/** |
|
477
|
|
|
* @param Variable $variable |
|
478
|
|
|
* @param Term $term |
|
479
|
|
|
* @return Expression |
|
480
|
|
|
*/ |
|
481
|
|
|
static public function subtractTermFromVariable(Variable $variable, Term $term): Expression |
|
482
|
|
|
{ |
|
483
|
|
|
return self::addTermToVariable($variable, self::negateTerm($term)); |
|
484
|
|
|
} |
|
485
|
|
|
|
|
486
|
|
|
/** |
|
487
|
|
|
* @param Variable $a |
|
488
|
|
|
* @param Variable $b |
|
489
|
|
|
* @return Expression |
|
490
|
|
|
*/ |
|
491
|
|
|
static public function subtractVariableFromVariable(Variable $a, Variable $b): Expression |
|
492
|
|
|
{ |
|
493
|
|
|
return self::addTermToVariable($a, self::negateVariable($b)); |
|
494
|
|
|
} |
|
495
|
|
|
|
|
496
|
|
|
/** |
|
497
|
|
|
* @param Variable $variable |
|
498
|
|
|
* @param float $constant |
|
499
|
|
|
* @return Expression |
|
500
|
|
|
*/ |
|
501
|
|
|
static public function subtractConstantFromVariable(Variable $variable, float $constant): Expression |
|
502
|
|
|
{ |
|
503
|
|
|
return self::addConstantToVariable($variable, -$constant); |
|
504
|
|
|
} |
|
505
|
|
|
|
|
506
|
|
|
/** |
|
507
|
|
|
* @param float $constant |
|
508
|
|
|
* @param Expression $expression |
|
509
|
|
|
* @return Expression |
|
510
|
|
|
*/ |
|
511
|
|
|
static public function addExpressionToConstant(float $constant, Expression $expression): Expression |
|
512
|
|
|
{ |
|
513
|
|
|
return self::addConstantToExpression($expression, $constant); |
|
514
|
|
|
} |
|
515
|
|
|
|
|
516
|
|
|
/** |
|
517
|
|
|
* @param float $constant |
|
518
|
|
|
* @param Term $term |
|
519
|
|
|
* @return Expression |
|
520
|
|
|
*/ |
|
521
|
|
|
static public function addTermToConstant(float $constant, Term $term): Expression |
|
522
|
|
|
{ |
|
523
|
|
|
return self::addConstantToTerm($term, $constant); |
|
524
|
|
|
} |
|
525
|
|
|
|
|
526
|
|
|
/** |
|
527
|
|
|
* @param float $constant |
|
528
|
|
|
* @param Variable $variable |
|
529
|
|
|
* @return Expression |
|
530
|
|
|
*/ |
|
531
|
|
|
static public function addVariableToConstant(float $constant, Variable $variable): Expression |
|
532
|
|
|
{ |
|
533
|
|
|
return self::addConstantToVariable($variable, $constant); |
|
534
|
|
|
} |
|
535
|
|
|
|
|
536
|
|
|
/** |
|
537
|
|
|
* @param float $constant |
|
538
|
|
|
* @param Expression $expression |
|
539
|
|
|
* @return Expression |
|
540
|
|
|
*/ |
|
541
|
|
|
static public function subtractExpressionFromConstant(float $constant, Expression $expression): Expression |
|
542
|
|
|
{ |
|
543
|
|
|
return self::addConstantToExpression(self::negateExpression($expression), $constant); |
|
544
|
|
|
} |
|
545
|
|
|
|
|
546
|
|
|
/** |
|
547
|
|
|
* @param float $constant |
|
548
|
|
|
* @param Term $term |
|
549
|
|
|
* @return Expression |
|
550
|
|
|
*/ |
|
551
|
|
|
static public function subtractTermFromConstant(float $constant, Term $term): Expression |
|
552
|
|
|
{ |
|
553
|
|
|
return self::addConstantToTerm(self::negateTerm($term), $constant); |
|
554
|
|
|
} |
|
555
|
|
|
|
|
556
|
|
|
/** |
|
557
|
|
|
* @param float $constant |
|
558
|
|
|
* @param Variable $variable |
|
559
|
|
|
* @return Expression |
|
560
|
|
|
*/ |
|
561
|
|
|
static public function subtractVariableFromConstant(float $constant, Variable $variable): Expression |
|
562
|
|
|
{ |
|
563
|
|
|
return self::addConstantToTerm(self::negateVariable($variable), $constant); |
|
564
|
|
|
} |
|
565
|
|
|
|
|
566
|
|
|
|
|
567
|
|
|
/* |
|
568
|
|
|
* Constraint factory methods. |
|
569
|
|
|
*/ |
|
570
|
|
|
|
|
571
|
|
|
/** |
|
572
|
|
|
* @param Expression $a |
|
573
|
|
|
* @param Expression $b |
|
574
|
|
|
* @return Constraint |
|
575
|
|
|
*/ |
|
576
|
18 |
|
static public function equalsExpressionExpression(Expression $a, Expression $b): Constraint |
|
577
|
|
|
{ |
|
578
|
18 |
|
return new Constraint(self::subtractExpressionFromExpression($a, $b), RelationalOperator::EQ); |
|
579
|
|
|
} |
|
580
|
|
|
|
|
581
|
|
|
/** |
|
582
|
|
|
* @param Expression $expression |
|
583
|
|
|
* @param Term $term |
|
584
|
|
|
* @return Constraint |
|
585
|
|
|
*/ |
|
586
|
3 |
|
static public function equalsExpressionTerm(Expression $expression, Term $term): Constraint |
|
587
|
|
|
{ |
|
588
|
3 |
|
return self::equalsExpressionExpression($expression, Expression::createFromTerm($term)); |
|
589
|
|
|
} |
|
590
|
|
|
|
|
591
|
|
|
/** |
|
592
|
|
|
* @param Expression $expression |
|
593
|
|
|
* @param Variable $variable |
|
594
|
|
|
* @return Constraint |
|
595
|
|
|
*/ |
|
596
|
3 |
|
static public function equalsExpressionVariable(Expression $expression, Variable $variable): Constraint |
|
597
|
|
|
{ |
|
598
|
3 |
|
return self::equalsExpressionTerm($expression, new Term($variable)); |
|
599
|
|
|
} |
|
600
|
|
|
|
|
601
|
|
|
/** |
|
602
|
|
|
* @param Expression $expression |
|
603
|
|
|
* @param float $constant |
|
604
|
|
|
* @return Constraint |
|
605
|
|
|
*/ |
|
606
|
17 |
|
static public function equalsExpressionConstant(Expression $expression, float $constant): Constraint |
|
607
|
|
|
{ |
|
608
|
17 |
|
return self::equalsExpressionExpression($expression, new Expression([], $constant)); |
|
609
|
|
|
} |
|
610
|
|
|
|
|
611
|
|
|
/** |
|
612
|
|
|
* @param Expression $a |
|
613
|
|
|
* @param Expression $b |
|
614
|
|
|
* @return Constraint |
|
615
|
|
|
*/ |
|
616
|
11 |
|
static public function lessThanOrEqualsExpressionExpression(Expression $a, Expression $b): Constraint |
|
617
|
|
|
{ |
|
618
|
11 |
|
return new Constraint(self::subtractExpressionFromExpression($a, $b), RelationalOperator::LE); |
|
619
|
|
|
} |
|
620
|
|
|
|
|
621
|
|
|
/** |
|
622
|
|
|
* @param Expression $expression |
|
623
|
|
|
* @param Term $term |
|
624
|
|
|
* @return Constraint |
|
625
|
|
|
*/ |
|
626
|
5 |
|
static public function lessThanOrEqualsExpressionTerm(Expression $expression, Term $term): Constraint |
|
627
|
|
|
{ |
|
628
|
5 |
|
return self::lessThanOrEqualsExpressionExpression($expression, Expression::createFromTerm($term)); |
|
629
|
|
|
} |
|
630
|
|
|
|
|
631
|
|
|
/** |
|
632
|
|
|
* @param Expression $expression |
|
633
|
|
|
* @param Variable $variable |
|
634
|
|
|
* @return Constraint |
|
635
|
|
|
*/ |
|
636
|
5 |
|
static public function lessThanOrEqualsExpressionVariable(Expression $expression, Variable $variable): Constraint |
|
637
|
|
|
{ |
|
638
|
5 |
|
return self::lessThanOrEqualsExpressionTerm($expression, new Term($variable)); |
|
639
|
|
|
} |
|
640
|
|
|
|
|
641
|
|
|
/** |
|
642
|
|
|
* @param Expression $expression |
|
643
|
|
|
* @param float $constant |
|
644
|
|
|
* @return Constraint |
|
645
|
|
|
*/ |
|
646
|
6 |
|
static public function lessThanOrEqualsExpressionConstant(Expression $expression, float $constant): Constraint |
|
647
|
|
|
{ |
|
648
|
6 |
|
return self::lessThanOrEqualsExpressionExpression($expression, new Expression([], $constant)); |
|
649
|
|
|
} |
|
650
|
|
|
|
|
651
|
|
|
/** |
|
652
|
|
|
* @param Expression $a |
|
653
|
|
|
* @param Expression $b |
|
654
|
|
|
* @return Constraint |
|
655
|
|
|
*/ |
|
656
|
8 |
|
static public function greaterThanOrEqualsExpressionExpression(Expression $a, Expression $b): Constraint |
|
657
|
|
|
{ |
|
658
|
8 |
|
return new Constraint(self::subtractExpressionFromExpression($a, $b), RelationalOperator::GE); |
|
659
|
|
|
} |
|
660
|
|
|
|
|
661
|
|
|
/** |
|
662
|
|
|
* @param Expression $expression |
|
663
|
|
|
* @param Term $term |
|
664
|
|
|
* @return Constraint |
|
665
|
|
|
*/ |
|
666
|
5 |
|
static public function greaterThanOrEqualsExpressionTerm(Expression $expression, Term $term): Constraint |
|
667
|
|
|
{ |
|
668
|
5 |
|
return self::greaterThanOrEqualsExpressionExpression($expression, Expression::createFromTerm($term)); |
|
669
|
|
|
} |
|
670
|
|
|
|
|
671
|
|
|
/** |
|
672
|
|
|
* @param Expression $expression |
|
673
|
|
|
* @param Variable $variable |
|
674
|
|
|
* @return Constraint |
|
675
|
|
|
*/ |
|
676
|
5 |
|
static public function greaterThanOrEqualsExpressionVariable(Expression $expression, Variable $variable): Constraint |
|
677
|
|
|
{ |
|
678
|
5 |
|
return self::greaterThanOrEqualsExpressionTerm($expression, new Term($variable)); |
|
679
|
|
|
} |
|
680
|
|
|
|
|
681
|
|
|
/** |
|
682
|
|
|
* @param Expression $expression |
|
683
|
|
|
* @param float $constant |
|
684
|
|
|
* @return Constraint |
|
685
|
|
|
*/ |
|
686
|
4 |
|
static public function greaterThanOrEqualsExpressionConstant(Expression $expression, float $constant): Constraint |
|
687
|
|
|
{ |
|
688
|
4 |
|
return self::greaterThanOrEqualsExpressionExpression($expression, new Expression([], $constant)); |
|
689
|
|
|
} |
|
690
|
|
|
|
|
691
|
|
|
/** |
|
692
|
|
|
* @param Term $term |
|
693
|
|
|
* @param Expression $expression |
|
694
|
|
|
* @return Constraint |
|
695
|
|
|
*/ |
|
696
|
|
|
static public function equalsTermExpression(Term $term, Expression $expression): Constraint |
|
697
|
|
|
{ |
|
698
|
|
|
return self::equalsExpressionExpression(Expression::createFromTerm($term), $expression); |
|
699
|
|
|
} |
|
700
|
|
|
|
|
701
|
|
|
/** |
|
702
|
|
|
* @param Term $a |
|
703
|
|
|
* @param Term $b |
|
704
|
|
|
* @return Constraint |
|
705
|
|
|
*/ |
|
706
|
|
|
static public function equalsTermTerm(Term $a, Term $b): Constraint |
|
707
|
|
|
{ |
|
708
|
|
|
return self::equalsExpressionTerm(Expression::createFromTerm($a), $b); |
|
709
|
|
|
} |
|
710
|
|
|
|
|
711
|
|
|
/** |
|
712
|
|
|
* @param Term $term |
|
713
|
|
|
* @param Variable $variable |
|
714
|
|
|
* @return Constraint |
|
715
|
|
|
*/ |
|
716
|
2 |
|
static public function equalsTermVariable(Term $term, Variable $variable): Constraint |
|
717
|
|
|
{ |
|
718
|
2 |
|
return self::equalsExpressionVariable(Expression::createFromTerm($term), $variable); |
|
719
|
|
|
} |
|
720
|
|
|
|
|
721
|
|
|
/** |
|
722
|
|
|
* @param Term $term |
|
723
|
|
|
* @param float $constant |
|
724
|
|
|
* @return Constraint |
|
725
|
|
|
*/ |
|
726
|
16 |
|
static public function equalsTermConstant(Term $term, float $constant): Constraint |
|
727
|
|
|
{ |
|
728
|
16 |
|
return self::equalsExpressionConstant(Expression::createFromTerm($term), $constant); |
|
729
|
|
|
} |
|
730
|
|
|
|
|
731
|
|
|
/** |
|
732
|
|
|
* @param Term $term |
|
733
|
|
|
* @param Expression $expression |
|
734
|
|
|
* @return Constraint |
|
735
|
|
|
*/ |
|
736
|
|
|
static public function lessThanOrEqualsTermExpression(Term $term, Expression $expression): Constraint |
|
737
|
|
|
{ |
|
738
|
|
|
return self::lessThanOrEqualsExpressionExpression(Expression::createFromTerm($term), $expression); |
|
739
|
|
|
} |
|
740
|
|
|
|
|
741
|
|
|
/** |
|
742
|
|
|
* @param Term $a |
|
743
|
|
|
* @param Term $b |
|
744
|
|
|
* @return Constraint |
|
745
|
|
|
*/ |
|
746
|
|
|
static public function lessThanOrEqualsTermTerm(Term $a, Term $b): Constraint |
|
747
|
|
|
{ |
|
748
|
|
|
return self::lessThanOrEqualsExpressionTerm(Expression::createFromTerm($a), $b); |
|
749
|
|
|
} |
|
750
|
|
|
|
|
751
|
|
|
/** |
|
752
|
|
|
* @param Term $term |
|
753
|
|
|
* @param Variable $variable |
|
754
|
|
|
* @return Constraint |
|
755
|
|
|
*/ |
|
756
|
1 |
|
static public function lessThanOrEqualsTermVariable(Term $term, Variable $variable): Constraint |
|
757
|
|
|
{ |
|
758
|
1 |
|
return self::lessThanOrEqualsExpressionVariable(Expression::createFromTerm($term), $variable); |
|
759
|
|
|
} |
|
760
|
|
|
|
|
761
|
|
|
/** |
|
762
|
|
|
* @param Term $term |
|
763
|
|
|
* @param float $constant |
|
764
|
|
|
* @return Constraint |
|
765
|
|
|
*/ |
|
766
|
6 |
|
static public function lessThanOrEqualsTermConstant(Term $term, float $constant): Constraint |
|
767
|
|
|
{ |
|
768
|
6 |
|
return self::lessThanOrEqualsExpressionConstant(Expression::createFromTerm($term), $constant); |
|
769
|
|
|
} |
|
770
|
|
|
|
|
771
|
|
|
/** |
|
772
|
|
|
* @param Term $term |
|
773
|
|
|
* @param Expression $expression |
|
774
|
|
|
* @return Constraint |
|
775
|
|
|
*/ |
|
776
|
|
|
static public function greaterThanOrEqualsTermExpression(Term $term, Expression $expression): Constraint |
|
777
|
|
|
{ |
|
778
|
|
|
return self::greaterThanOrEqualsExpressionExpression(Expression::createFromTerm($term), $expression); |
|
779
|
|
|
} |
|
780
|
|
|
|
|
781
|
|
|
/** |
|
782
|
|
|
* @param Term $a |
|
783
|
|
|
* @param Term $b |
|
784
|
|
|
* @return Constraint |
|
785
|
|
|
*/ |
|
786
|
|
|
static public function greaterThanOrEqualsTermTerm(Term $a, Term $b): Constraint |
|
787
|
|
|
{ |
|
788
|
|
|
return self::greaterThanOrEqualsExpressionTerm(Expression::createFromTerm($a), $b); |
|
789
|
|
|
} |
|
790
|
|
|
|
|
791
|
|
|
/** |
|
792
|
|
|
* @param Term $term |
|
793
|
|
|
* @param Variable $variable |
|
794
|
|
|
* @return Constraint |
|
795
|
|
|
*/ |
|
796
|
1 |
|
static public function greaterThanOrEqualsTermVariable(Term $term, Variable $variable): Constraint |
|
797
|
|
|
{ |
|
798
|
1 |
|
return self::greaterThanOrEqualsExpressionVariable(Expression::createFromTerm($term), $variable); |
|
799
|
|
|
} |
|
800
|
|
|
|
|
801
|
|
|
/** |
|
802
|
|
|
* @param Term $term |
|
803
|
|
|
* @param float $constant |
|
804
|
|
|
* @return Constraint |
|
805
|
|
|
*/ |
|
806
|
4 |
|
static public function greaterThanOrEqualsTermConstant(Term $term, float $constant): Constraint |
|
807
|
|
|
{ |
|
808
|
4 |
|
return self::greaterThanOrEqualsExpressionConstant(Expression::createFromTerm($term), $constant); |
|
809
|
|
|
} |
|
810
|
|
|
|
|
811
|
|
|
/** |
|
812
|
|
|
* @param Variable $variable |
|
813
|
|
|
* @param Expression $expression |
|
814
|
|
|
* @return Constraint |
|
815
|
|
|
*/ |
|
816
|
1 |
|
static public function equalsVariableExpression(Variable $variable, Expression $expression): Constraint |
|
817
|
|
|
{ |
|
818
|
1 |
|
return self::equalsExpressionVariable($expression, $variable); |
|
819
|
|
|
} |
|
820
|
|
|
|
|
821
|
|
|
/** |
|
822
|
|
|
* @param Variable $variable |
|
823
|
|
|
* @param Term $term |
|
824
|
|
|
* @return Constraint |
|
825
|
|
|
*/ |
|
826
|
|
|
static public function equalsVariableTerm(Variable $variable, Term $term): Constraint |
|
827
|
|
|
{ |
|
828
|
|
|
return self::equalsTermVariable($term, $variable); |
|
829
|
|
|
} |
|
830
|
|
|
|
|
831
|
|
|
/** |
|
832
|
|
|
* @param Variable $a |
|
833
|
|
|
* @param Variable $b |
|
834
|
|
|
* @return Constraint |
|
835
|
|
|
*/ |
|
836
|
1 |
|
static public function equalsVariableVariable(Variable $a, Variable $b): Constraint |
|
837
|
|
|
{ |
|
838
|
1 |
|
return self::equalsTermVariable(new Term($a), $b); |
|
839
|
|
|
} |
|
840
|
|
|
|
|
841
|
|
|
/** |
|
842
|
|
|
* @param Variable $variable |
|
843
|
|
|
* @param float $constant |
|
844
|
|
|
* @return Constraint |
|
845
|
|
|
*/ |
|
846
|
16 |
|
static public function equalsVariableConstant(Variable $variable, float $constant): Constraint |
|
847
|
|
|
{ |
|
848
|
16 |
|
return self::equalsTermConstant(new Term($variable), $constant); |
|
849
|
|
|
} |
|
850
|
|
|
|
|
851
|
|
|
/** |
|
852
|
|
|
* @param Variable $variable |
|
853
|
|
|
* @param Expression $expression |
|
854
|
|
|
* @return Constraint |
|
855
|
|
|
*/ |
|
856
|
|
|
static public function lessThanOrEqualsVariableExpression(Variable $variable, Expression $expression): Constraint |
|
857
|
|
|
{ |
|
858
|
|
|
return self::lessThanOrEqualsTermExpression(new Term($variable), $expression); |
|
859
|
|
|
} |
|
860
|
|
|
|
|
861
|
|
|
/** |
|
862
|
|
|
* @param Variable $variable |
|
863
|
|
|
* @param Term $term |
|
864
|
|
|
* @return Constraint |
|
865
|
|
|
*/ |
|
866
|
|
|
static public function lessThanOrEqualsVariableTerm(Variable $variable, Term $term): Constraint |
|
867
|
|
|
{ |
|
868
|
|
|
return self::lessThanOrEqualsTermTerm(new Term($variable), $term); |
|
869
|
|
|
} |
|
870
|
|
|
|
|
871
|
|
|
/** |
|
872
|
|
|
* @param Variable $a |
|
873
|
|
|
* @param Variable $b |
|
874
|
|
|
* @return Constraint |
|
875
|
|
|
*/ |
|
876
|
1 |
|
static public function lessThanOrEqualsVariableVariable(Variable $a, Variable $b): Constraint |
|
877
|
|
|
{ |
|
878
|
1 |
|
return self::lessThanOrEqualsTermVariable(new Term($a), $b); |
|
879
|
|
|
} |
|
880
|
|
|
|
|
881
|
|
|
/** |
|
882
|
|
|
* @param Variable $variable |
|
883
|
|
|
* @param float $constant |
|
884
|
|
|
* @return Constraint |
|
885
|
|
|
*/ |
|
886
|
6 |
|
static public function lessThanOrEqualsVariableConstant(Variable $variable, float $constant): Constraint |
|
887
|
|
|
{ |
|
888
|
6 |
|
return self::lessThanOrEqualsTermConstant(new Term($variable), $constant); |
|
889
|
|
|
} |
|
890
|
|
|
|
|
891
|
|
|
/** |
|
892
|
|
|
* @param Variable $variable |
|
893
|
|
|
* @param Expression $expression |
|
894
|
|
|
* @return Constraint |
|
895
|
|
|
*/ |
|
896
|
|
|
static public function greaterThanOrEqualsVariableExpression(Variable $variable, Expression $expression): Constraint |
|
897
|
|
|
{ |
|
898
|
|
|
return self::greaterThanOrEqualsTermExpression(new Term($variable), $expression); |
|
899
|
|
|
} |
|
900
|
|
|
|
|
901
|
|
|
/** |
|
902
|
|
|
* @param Variable $variable |
|
903
|
|
|
* @param Term $term |
|
904
|
|
|
* @return Constraint |
|
905
|
|
|
*/ |
|
906
|
|
|
static public function greaterThanOrEqualsVariabeTerm(Variable $variable, Term $term): Constraint |
|
907
|
|
|
{ |
|
908
|
|
|
return self::greaterThanOrEqualsTermTerm(new Term($variable), $term); |
|
909
|
|
|
} |
|
910
|
|
|
|
|
911
|
|
|
/** |
|
912
|
|
|
* @param Variable $a |
|
913
|
|
|
* @param Variable $b |
|
914
|
|
|
* @return Constraint |
|
915
|
|
|
*/ |
|
916
|
1 |
|
static public function greaterThanOrEqualsVariableVariable(Variable $a, Variable $b): Constraint |
|
917
|
|
|
{ |
|
918
|
1 |
|
return self::greaterThanOrEqualsTermVariable(new Term($a), $b); |
|
919
|
|
|
} |
|
920
|
|
|
|
|
921
|
|
|
/** |
|
922
|
|
|
* @param Variable $variable |
|
923
|
|
|
* @param float $constant |
|
924
|
|
|
* @return Constraint |
|
925
|
|
|
*/ |
|
926
|
4 |
|
static public function greaterThanOrEqualsVariableConstant(Variable $variable, float $constant): Constraint |
|
927
|
|
|
{ |
|
928
|
4 |
|
return self::greaterThanOrEqualsTermConstant(new Term($variable), $constant); |
|
929
|
|
|
} |
|
930
|
|
|
|
|
931
|
|
|
/** |
|
932
|
|
|
* @param float $constant |
|
933
|
|
|
* @param Expression $expression |
|
934
|
|
|
* @return Constraint |
|
935
|
|
|
*/ |
|
936
|
|
|
static public function equalsConstantExpression(float $constant, Expression $expression): Constraint |
|
937
|
|
|
{ |
|
938
|
|
|
return self::equalsExpressionConstant($expression, $constant); |
|
939
|
|
|
} |
|
940
|
|
|
|
|
941
|
|
|
/** |
|
942
|
|
|
* @param float $constant |
|
943
|
|
|
* @param Term $term |
|
944
|
|
|
* @return Constraint |
|
945
|
|
|
*/ |
|
946
|
|
|
static public function equalsConstantTerm(float $constant, Term $term): Constraint |
|
947
|
|
|
{ |
|
948
|
|
|
return self::equalsTermConstant($term, $constant); |
|
949
|
|
|
} |
|
950
|
|
|
|
|
951
|
|
|
/** |
|
952
|
|
|
* @param float $constant |
|
953
|
|
|
* @param Variable $variable |
|
954
|
|
|
* @return Constraint |
|
955
|
|
|
*/ |
|
956
|
|
|
static public function equalsConstantVariable(float $constant, Variable $variable): Constraint |
|
957
|
|
|
{ |
|
958
|
|
|
return self::equalsVariableConstant($variable, $constant); |
|
959
|
|
|
} |
|
960
|
|
|
|
|
961
|
|
|
/** |
|
962
|
|
|
* @param float $constant |
|
963
|
|
|
* @param Expression $expression |
|
964
|
|
|
* @return Constraint |
|
965
|
|
|
*/ |
|
966
|
|
|
static public function lessThanOrEqualsConstantExpression(float $constant, Expression $expression): Constraint |
|
967
|
|
|
{ |
|
968
|
|
|
return self::lessThanOrEqualsExpressionExpression(new Expression([], $constant), $expression); |
|
969
|
|
|
} |
|
970
|
|
|
|
|
971
|
|
|
/** |
|
972
|
|
|
* @param float $constant |
|
973
|
|
|
* @param Term $term |
|
974
|
|
|
* @return Constraint |
|
975
|
|
|
*/ |
|
976
|
|
|
static public function lessThanOrEqualsConstantTerm(float $constant, Term $term): Constraint |
|
977
|
|
|
{ |
|
978
|
|
|
return self::lessThanOrEqualsExpressionTerm(new Expression([], $constant), $term); |
|
979
|
|
|
} |
|
980
|
|
|
|
|
981
|
|
|
/** |
|
982
|
|
|
* @param float $constant |
|
983
|
|
|
* @param Variable $variable |
|
984
|
|
|
* @return Constraint |
|
985
|
|
|
*/ |
|
986
|
2 |
|
static public function lessThanOrEqualsConstantVariable(float $constant, Variable $variable): Constraint |
|
987
|
|
|
{ |
|
988
|
2 |
|
return self::lessThanOrEqualsExpressionVariable(new Expression([], $constant), $variable); |
|
989
|
|
|
} |
|
990
|
|
|
|
|
991
|
|
|
/** |
|
992
|
|
|
* @param float $constant |
|
993
|
|
|
* @param Expression $expression |
|
994
|
|
|
* @return Constraint |
|
995
|
|
|
*/ |
|
996
|
|
|
static public function greaterThanOrEqualsConstantExpression(float $constant, Expression $expression): Constraint |
|
997
|
|
|
{ |
|
998
|
|
|
return self::greaterThanOrEqualsExpressionExpression(new Expression([], $constant), $expression); |
|
999
|
|
|
} |
|
1000
|
|
|
|
|
1001
|
|
|
/** |
|
1002
|
|
|
* @param float $constant |
|
1003
|
|
|
* @param Term $term |
|
1004
|
|
|
* @return Constraint |
|
1005
|
|
|
*/ |
|
1006
|
|
|
static public function greaterThanOrEqualsConstantTerm(float $constant, Term $term): Constraint |
|
1007
|
|
|
{ |
|
1008
|
|
|
return self::greaterThanOrEqualsExpressionTerm(new Expression([], $constant), $term); |
|
1009
|
|
|
} |
|
1010
|
|
|
|
|
1011
|
|
|
/** |
|
1012
|
|
|
* @param float $constant |
|
1013
|
|
|
* @param Variable $variable |
|
1014
|
|
|
* @return Constraint |
|
1015
|
|
|
*/ |
|
1016
|
2 |
|
static public function greaterThanOrEqualsConstantVariable(float $constant, Variable $variable): Constraint |
|
1017
|
|
|
{ |
|
1018
|
2 |
|
return self::greaterThanOrEqualsExpressionVariable(new Expression([], $constant), $variable); |
|
1019
|
|
|
} |
|
1020
|
|
|
|
|
1021
|
|
|
/** |
|
1022
|
|
|
* @param Constraint $constraint |
|
1023
|
|
|
* @param float $strength |
|
1024
|
|
|
* @return Constraint |
|
1025
|
|
|
*/ |
|
1026
|
|
|
static public function modifyStrength(Constraint $constraint, float $strength): Constraint |
|
1027
|
|
|
{ |
|
1028
|
|
|
return Constraint::createFromConstraint($constraint, $strength); |
|
1029
|
|
|
} |
|
1030
|
|
|
} |