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<?php |
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namespace Samsara\Fermat\Values\Geometry\CoordinateSystems; |
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use Samsara\Exceptions\SystemError\LogicalError\IncompatibleObjectState; |
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use Samsara\Exceptions\UsageError\IntegrityConstraint; |
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use Samsara\Fermat\Numbers; |
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use Samsara\Fermat\Types\Base\Interfaces\Coordinates\CoordinateInterface; |
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use Samsara\Fermat\Types\Base\Interfaces\Coordinates\ThreeDCoordinateInterface; |
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use Samsara\Fermat\Types\Base\Interfaces\Coordinates\TwoDCoordinateInterface; |
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use Samsara\Fermat\Types\Coordinate; |
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use Samsara\Fermat\Values\ImmutableDecimal; |
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class CartesianCoordinate extends Coordinate implements TwoDCoordinateInterface, ThreeDCoordinateInterface |
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{ |
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public function __construct($x, $y = null, $z = null) |
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{ |
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$data = [ |
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'x' => $x |
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]; |
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if (!is_null($y)) { |
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$data['y'] = $y; |
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if (!is_null($z)) { |
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$data['z'] = $z; |
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} |
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} else { |
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if (!is_null($z)) { |
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$data['y'] = $z; |
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} |
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} |
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parent::__construct($data); |
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} |
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public function getAxis($axis): ImmutableDecimal |
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{ |
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if (is_int($axis)) { |
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$axisIndex = $axis; |
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} else { |
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$axisIndex = $this->parameters[$axis]; |
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} |
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if (!$this->values->hasIndex($axisIndex)) { |
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return Numbers::makeZero(); |
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} |
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return $this->getAxisByIndex($axisIndex); |
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} |
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public function getDistanceFromOrigin(): ImmutableDecimal |
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{ |
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$x = 0; |
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if ($this->numberOfDimensions() > 1) { |
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$y = 0; |
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} else { |
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$y = null; |
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} |
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if ($this->numberOfDimensions() > 2) { |
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$z = 0; |
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} else { |
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$z = null; |
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} |
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return $this->distanceTo(new CartesianCoordinate($x, $y, $z)); |
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} |
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public function distanceTo(CoordinateInterface $coordinate): ImmutableDecimal |
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{ |
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if (!($coordinate instanceof CartesianCoordinate)) { |
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$coordinate = $coordinate->asCartesian(); |
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} |
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/** @var ImmutableDecimal $n */ |
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$n = Numbers::makeZero(); |
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$firstValues = ($this->numberOfDimensions() >= $coordinate->numberOfDimensions()) ? $this->axesValues() : $coordinate->axesValues(); |
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$secondValues = ($this->numberOfDimensions() >= $coordinate->numberOfDimensions()) ? $coordinate->axesValues() : $this->axesValues(); |
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foreach ($firstValues as $index => $value) { |
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$n = $n->add($secondValues[$index]->subtract($value)->pow(2)); |
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} |
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$n = $n->sqrt(); |
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return $n; |
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} |
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public function asCartesian(): CartesianCoordinate |
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{ |
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return $this; |
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} |
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public function getPolarAngle(): ImmutableDecimal |
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{ |
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if ($this->numberOfDimensions() == 2) { |
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return $this->asPolar()->getAngleOfRotation(); |
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} elseif ($this->numberOfDimensions() == 3) { |
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return $this->asSpherical()->getPolarAngle(); |
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} else { |
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throw new IncompatibleObjectState( |
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'Can only get a polar angle for a CartesianCoordinate of 2 or 3 dimensions.' |
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); |
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} |
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} |
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public function getPlanarAngle(): ImmutableDecimal |
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{ |
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if ($this->numberOfDimensions() == 2) { |
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return $this->getPolarAngle(); |
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} elseif ($this->numberOfDimensions() == 3) { |
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return $this->asSpherical()->getPlanarAngle(); |
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} else { |
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throw new IncompatibleObjectState( |
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'Can only get a planar angle for a CartesianCoordinate of 2 or 3 dimensions.' |
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); |
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} |
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} |
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public function asSpherical(): SphericalCoordinate |
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{ |
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if ($this->numberOfDimensions() != 3) { |
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throw new IncompatibleObjectState( |
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'Attempted to get CartesianCoordinate as SphericalCoordinate without the correct number of dimensions.' |
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); |
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} |
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$rho = $this->getDistanceFromOrigin(); |
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$theta = ''; |
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$phi = ''; |
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return new SphericalCoordinate($rho, $theta, $phi); |
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} |
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public function asCylindrical(): CylindricalCoordinate |
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{ |
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if ($this->numberOfDimensions() != 3) { |
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throw new IncompatibleObjectState( |
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'Attempted to get CartesianCoordinate as CylindricalCoordinate without the correct number of dimensions.' |
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); |
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} |
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$z = $this->values->get(2); |
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$r = $this->distanceTo(new CartesianCoordinate([0, 0, $z])); |
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$theta = $this->values->get(1)->divide($this->values->get(0))->arctan(); |
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return new CylindricalCoordinate($r, $theta, $z); |
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} |
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public function asPolar(): PolarCoordinate |
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{ |
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if ($this->numberOfDimensions() != 2) { |
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throw new IncompatibleObjectState( |
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'Attempted to get CartesianCoordinate as PolarCoordinate without the correct number of dimensions.' |
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); |
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} |
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$rho = $this->getDistanceFromOrigin(); |
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if ($rho->isEqual(0)) { |
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throw new IncompatibleObjectState( |
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'Attempted to convert a CartesianCoordinate at the origin into PolarCoordinate' |
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); |
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} |
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/** @var ImmutableDecimal $theta */ |
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$theta = $this->values->get(0)->divide($rho)->arccos(); |
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if ($this->values->get(1)->isNegative()) { |
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$theta = $theta->multiply(-1); |
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} |
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return new PolarCoordinate($rho, $theta); |
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} |
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} |
JordanRL /
Fermat
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