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<?php |
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/** |
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* PHPCoord. |
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* |
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* @author Doug Wright |
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*/ |
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declare(strict_types=1); |
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namespace PHPCoord; |
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use DateTimeImmutable; |
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use PHPCoord\CoordinateReferenceSystem\CoordinateReferenceSystem; |
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use PHPCoord\CoordinateSystem\Axis; |
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use PHPCoord\UnitOfMeasure\Angle\Angle; |
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use PHPCoord\UnitOfMeasure\Length\Length; |
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use PHPCoord\UnitOfMeasure\Scale\Coefficient; |
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use PHPCoord\UnitOfMeasure\UnitOfMeasure; |
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use Stringable; |
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abstract class Point implements Stringable |
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{ |
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protected const NEWTON_RAPHSON_CONVERGENCE = 1e-16; |
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abstract public function getCRS(): CoordinateReferenceSystem; |
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abstract public function getCoordinateEpoch(): ?DateTimeImmutable; |
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abstract public function calculateDistance(self $to): Length; |
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186 |
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protected function getAxisByName(string $name): ?Axis |
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{ |
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186 |
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foreach ($this->getCRS()->getCoordinateSystem()->getAxes() as $axis) { |
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186 |
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if ($axis->getName() === $name) { |
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186 |
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return $axis; |
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} |
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} |
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return null; |
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} |
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protected static function sign(float $number): int |
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{ |
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if ($number < 0) { |
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return -1; |
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} |
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return 1; |
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} |
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/** |
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* General polynomial. |
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* @param Coefficient[] $powerCoefficients |
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*/ |
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protected function generalPolynomialUnitless( |
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float $xs, |
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float $ys, |
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UnitOfMeasure $ordinate1OfEvaluationPointInSourceCRS, |
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UnitOfMeasure $ordinate2OfEvaluationPointInSourceCRS, |
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UnitOfMeasure $ordinate1OfEvaluationPointInTargetCRS, |
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UnitOfMeasure $ordinate2OfEvaluationPointInTargetCRS, |
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Coefficient $scalingFactorForSourceCRSCoordDifferences, |
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Coefficient $scalingFactorForTargetCRSCoordDifferences, |
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Coefficient $A0, |
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Coefficient $B0, |
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array $powerCoefficients |
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): array { |
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$xso = $ordinate1OfEvaluationPointInSourceCRS->getValue(); |
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1 |
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$yso = $ordinate2OfEvaluationPointInSourceCRS->getValue(); |
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1 |
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$xto = $ordinate1OfEvaluationPointInTargetCRS->getValue(); |
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1 |
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$yto = $ordinate2OfEvaluationPointInTargetCRS->getValue(); |
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$U = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($xs - $xso); |
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$V = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($ys - $yso); |
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1 |
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$mTdX = $A0->getValue(); |
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1 |
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foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
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if ($coefficientName[0] === 'A') { |
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sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower); |
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$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
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} |
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} |
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1 |
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$mTdY = $B0->getValue(); |
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foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
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if ($coefficientName[0] === 'B') { |
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sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower); |
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$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
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} |
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} |
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$xt = $xs - $xso + $xto + $mTdX / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue(); |
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1 |
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$yt = $ys - $yso + $yto + $mTdY / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue(); |
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return ['xt' => $xt, 'yt' => $yt]; |
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} |
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/** |
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* Reversible polynomial. |
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*/ |
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protected function reversiblePolynomialUnitless( |
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float $xs, |
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float $ys, |
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Angle $ordinate1OfEvaluationPoint, |
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Angle $ordinate2OfEvaluationPoint, |
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Coefficient $scalingFactorForCoordDifferences, |
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Coefficient $A0, |
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Coefficient $B0, |
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array $powerCoefficients |
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): array { |
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$xo = $ordinate1OfEvaluationPoint->getValue(); |
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$yo = $ordinate2OfEvaluationPoint->getValue(); |
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$U = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($xs - $xo); |
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$V = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($ys - $yo); |
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$mTdX = $A0->getValue(); |
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foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
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if ($coefficientName[0] === 'A') { |
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sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower); |
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$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
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} |
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} |
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$mTdY = $B0->getValue(); |
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foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
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if ($coefficientName[0] === 'B') { |
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sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower); |
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$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
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} |
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} |
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$xt = $xs + $mTdX / $scalingFactorForCoordDifferences->asUnity()->getValue(); |
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$yt = $ys + $mTdY / $scalingFactorForCoordDifferences->asUnity()->getValue(); |
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return ['xt' => $xt, 'yt' => $yt]; |
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} |
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} |
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dvdoug /
PHPCoord
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