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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\Point; |
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use DateTimeImmutable; |
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use PHPCoord\CoordinateOperation\CoordinateOperationMethods; |
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use PHPCoord\CoordinateOperation\CoordinateOperations; |
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use PHPCoord\CoordinateOperation\Grid; |
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use PHPCoord\CoordinateOperation\GridProvider; |
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use PHPCoord\CoordinateReferenceSystem\Compound; |
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use PHPCoord\CoordinateReferenceSystem\CoordinateReferenceSystem; |
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use PHPCoord\CoordinateReferenceSystem\Geocentric; |
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use PHPCoord\CoordinateReferenceSystem\Geographic2D; |
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use PHPCoord\CoordinateReferenceSystem\Geographic3D; |
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use PHPCoord\CoordinateReferenceSystem\Projected; |
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use PHPCoord\CoordinateReferenceSystem\Vertical; |
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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\Scale\Scale; |
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use PHPCoord\UnitOfMeasure\UnitOfMeasure; |
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use Stringable; |
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use function acos; |
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use function asin; |
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use function assert; |
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use function atan; |
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use function atan2; |
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use function class_exists; |
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use function is_string; |
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use function property_exists; |
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use function sscanf; |
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use function str_ends_with; |
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use function str_starts_with; |
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abstract class Point implements Stringable |
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{ |
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protected const ITERATION_CONVERGENCE_FORMULA = 1e-10; |
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protected const ITERATION_CONVERGENCE_GRID = 0.0001; |
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protected const METHODS_REQUIRING_HORIZONTAL_POINT = [ |
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CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE, |
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CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019 => CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019, |
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CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX, |
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CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_PL_TXT => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_PL_TXT, |
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CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_BEV_AT => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_BEV_AT, |
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CoordinateOperationMethods::EPSG_VERTICAL_CHANGE_BY_GEOID_GRID_DIFFERENCE_NRCAN => CoordinateOperationMethods::EPSG_VERTICAL_CHANGE_BY_GEOID_GRID_DIFFERENCE_NRCAN, |
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]; |
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protected const METHODS_THAT_REQUIRE_DIRECTION = [ |
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CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION => CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION, |
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CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION => CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION, |
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CoordinateOperationMethods::EPSG_NADCON5_2D => CoordinateOperationMethods::EPSG_NADCON5_2D, |
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CoordinateOperationMethods::EPSG_NADCON5_3D => CoordinateOperationMethods::EPSG_NADCON5_3D, |
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CoordinateOperationMethods::EPSG_NTV2 => CoordinateOperationMethods::EPSG_NTV2, |
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CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019 => CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019, |
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CoordinateOperationMethods::EPSG_GEOCENTRIC_TRANSLATION_BY_GRID_INTERPOLATION_IGN => CoordinateOperationMethods::EPSG_GEOCENTRIC_TRANSLATION_BY_GRID_INTERPOLATION_IGN, |
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CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX, |
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CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_PL_TXT => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_PL_TXT, |
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CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_BEV_AT => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_BEV_AT, |
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CoordinateOperationMethods::EPSG_VERTICAL_CHANGE_BY_GEOID_GRID_DIFFERENCE_NRCAN => CoordinateOperationMethods::EPSG_VERTICAL_CHANGE_BY_GEOID_GRID_DIFFERENCE_NRCAN, |
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CoordinateOperationMethods::EPSG_GENERAL_POLYNOMIAL_OF_DEGREE_2 => CoordinateOperationMethods::EPSG_GENERAL_POLYNOMIAL_OF_DEGREE_2, |
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CoordinateOperationMethods::EPSG_GENERAL_POLYNOMIAL_OF_DEGREE_6 => CoordinateOperationMethods::EPSG_GENERAL_POLYNOMIAL_OF_DEGREE_6, |
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]; |
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/** |
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* @var array<class-string, Grid> |
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*/ |
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protected static array $gridCache = []; |
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/** |
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* @internal |
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* @param array{horizontalPoint?: Point} $additionalParams |
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*/ |
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public function performOperation(string $srid, Compound|Geocentric|Geographic2D|Geographic3D|Projected|Vertical $to, bool $inReverse, array $additionalParams = []): self |
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{ |
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$operation = CoordinateOperations::getOperationData($srid); |
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if ($operation['method'] === CoordinateOperationMethods::EPSG_ALIAS) { |
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$point = clone $this; |
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assert(property_exists($point, 'crs')); |
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$point->crs = $to; |
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return $point; |
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} else { |
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$method = CoordinateOperationMethods::getFunctionName($operation['method']); |
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$params = self::resolveParamsByOperation($srid, $operation['method'], $inReverse); |
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if (isset(self::METHODS_REQUIRING_HORIZONTAL_POINT[$operation['method']]) && isset($additionalParams['horizontalPoint'])) { |
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$params['horizontalPoint'] = $additionalParams['horizontalPoint']; |
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} |
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return $this->$method($to, ...$params); |
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} |
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} |
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/** |
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* @return array<string, mixed> |
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*/ |
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protected static function resolveParamsByOperation(string $operationSrid, string $methodSrid, bool $inReverse): array |
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{ |
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$methodData = CoordinateOperationMethods::getMethodData($methodSrid); |
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$params = []; |
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$powerCoefficients = []; |
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foreach (CoordinateOperations::getParamData($operationSrid) as $paramName => $paramValue) { |
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if (str_ends_with($paramName, 'File') && is_string($paramValue) && class_exists($paramValue) && new $paramValue() instanceof GridProvider) { |
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$params[$paramName] = static::$gridCache[$paramValue] ??= (new $paramValue())->provideGrid(); |
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} else { |
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if ($inReverse && isset($methodData['paramData'][$paramName]) && $methodData['paramData'][$paramName]['reverses']) { |
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$paramValue = $paramValue->multiply(-1); |
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} |
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if (str_starts_with($paramName, 'Au') || str_starts_with($paramName, 'Bu')) { |
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$powerCoefficients[$paramName] = $paramValue; |
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} else { |
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$params[$paramName] = $paramValue; |
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} |
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} |
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} |
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if ($powerCoefficients) { |
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$params['powerCoefficients'] = $powerCoefficients; |
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} |
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if (isset(self::METHODS_THAT_REQUIRE_DIRECTION[$methodSrid])) { |
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if ($methodSrid === CoordinateOperationMethods::EPSG_VERTICAL_CHANGE_BY_GEOID_GRID_DIFFERENCE_NRCAN) { |
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$inReverse = !$inReverse; // has a reversed grid |
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} |
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$params['inReverse'] = $inReverse; |
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} |
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return $params; |
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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 array<string, Coefficient> $powerCoefficients |
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* @return array{xt: float, yt: float} |
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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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Scale $scalingFactorForSourceCRSCoordDifferences, |
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Scale $scalingFactorForTargetCRSCoordDifferences, |
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Scale $A0, |
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Scale $B0, |
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array $powerCoefficients, |
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bool $inReverse |
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): array { |
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if (!$inReverse) { |
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return $this->generalPolynomialUnitlessForward( |
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$xs, |
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$ys, |
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$ordinate1OfEvaluationPointInSourceCRS, |
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$ordinate2OfEvaluationPointInSourceCRS, |
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$ordinate1OfEvaluationPointInTargetCRS, |
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$ordinate2OfEvaluationPointInTargetCRS, |
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$scalingFactorForSourceCRSCoordDifferences, |
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$scalingFactorForTargetCRSCoordDifferences, |
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$A0, |
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$B0, |
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$powerCoefficients, |
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); |
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} else { |
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return $this->generalPolynomialUnitlessReverse( |
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$xs, |
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$ys, |
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$ordinate1OfEvaluationPointInSourceCRS, |
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$ordinate2OfEvaluationPointInSourceCRS, |
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$ordinate1OfEvaluationPointInTargetCRS, |
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$ordinate2OfEvaluationPointInTargetCRS, |
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$scalingFactorForSourceCRSCoordDifferences, |
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$scalingFactorForTargetCRSCoordDifferences, |
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$A0, |
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$B0, |
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$powerCoefficients, |
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); |
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} |
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} |
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protected function generalPolynomialUnitlessForward( |
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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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Scale $scalingFactorForSourceCRSCoordDifferences, |
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Scale $scalingFactorForTargetCRSCoordDifferences, |
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Scale $A0, |
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Scale $B0, |
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array $powerCoefficients |
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): array { |
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$xso = $ordinate1OfEvaluationPointInSourceCRS->getValue(); |
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$yso = $ordinate2OfEvaluationPointInSourceCRS->getValue(); |
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$xto = $ordinate1OfEvaluationPointInTargetCRS->getValue(); |
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$yto = $ordinate2OfEvaluationPointInTargetCRS->getValue(); |
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$U = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($xs - $xso); |
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$V = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($ys - $yso); |
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$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 - $xso + $xto + $mTdX / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue(); |
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$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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protected function generalPolynomialUnitlessReverse( |
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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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Scale $scalingFactorForSourceCRSCoordDifferences, |
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Scale $scalingFactorForTargetCRSCoordDifferences, |
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Scale $A0, |
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Scale $B0, |
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array $powerCoefficients |
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): array { |
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$result = ['xt' => $xs, 'yt' => $ys]; |
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for ($i = 0; $i <= 15; ++$i) { |
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$forwardShiftedCoordinates = $this->generalPolynomialUnitlessForward( |
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$result['xt'], |
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$result['yt'], |
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$ordinate1OfEvaluationPointInSourceCRS, |
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$ordinate2OfEvaluationPointInSourceCRS, |
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$ordinate1OfEvaluationPointInTargetCRS, |
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$ordinate2OfEvaluationPointInTargetCRS, |
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$scalingFactorForSourceCRSCoordDifferences, |
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$scalingFactorForTargetCRSCoordDifferences, |
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$A0, |
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$B0, |
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$powerCoefficients |
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); |
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$deltaError = [ |
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'xt' => $forwardShiftedCoordinates['xt'] - $xs, |
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'yt' => $forwardShiftedCoordinates['yt'] - $ys, |
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]; |
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$result['xt'] -= $deltaError['xt']; |
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$result['yt'] -= $deltaError['yt']; |
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} |
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275
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return $result; |
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} |
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278
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/** |
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279
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* Reversible polynomial. |
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280
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* @param array<string, Coefficient> $powerCoefficients |
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281
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* @return array{xt: float, yt: float} |
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*/ |
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protected function reversiblePolynomialUnitless( |
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float $xs, |
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285
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float $ys, |
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286
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Angle $ordinate1OfEvaluationPoint, |
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287
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Angle $ordinate2OfEvaluationPoint, |
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288
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Scale $scalingFactorForCoordDifferences, |
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289
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Scale $A0, |
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290
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Scale $B0, |
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array $powerCoefficients |
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292
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): array { |
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293
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$xo = $ordinate1OfEvaluationPoint->getValue(); |
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294
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$yo = $ordinate2OfEvaluationPoint->getValue(); |
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295
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|
296
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$U = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($xs - $xo); |
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297
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$V = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($ys - $yo); |
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298
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|
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|
299
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$mTdX = $A0->getValue(); |
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300
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foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
|
301
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if ($coefficientName[0] === 'A') { |
|
302
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sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower); |
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303
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$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
|
304
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|
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} |
|
305
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} |
|
306
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|
|
|
|
307
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|
|
$mTdY = $B0->getValue(); |
|
308
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|
|
foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
|
309
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|
|
if ($coefficientName[0] === 'B') { |
|
310
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|
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sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower); |
|
311
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|
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$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
|
312
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|
|
} |
|
313
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|
|
} |
|
314
|
|
|
|
|
315
|
|
|
$xt = $xs + $mTdX * $scalingFactorForCoordDifferences->asUnity()->getValue(); |
|
316
|
|
|
$yt = $ys + $mTdY * $scalingFactorForCoordDifferences->asUnity()->getValue(); |
|
317
|
|
|
|
|
318
|
|
|
return ['xt' => $xt, 'yt' => $yt]; |
|
319
|
|
|
} |
|
320
|
|
|
|
|
321
|
|
|
/** |
|
322
|
|
|
* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a |
|
323
|
|
|
* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally. |
|
324
|
|
|
*/ |
|
325
|
|
|
protected static function acos(float $num): float |
|
326
|
|
|
{ |
|
327
|
|
|
if ($num > 1.0) { |
|
328
|
|
|
$num = 1.0; |
|
329
|
|
|
} elseif ($num < -1) { |
|
330
|
|
|
$num = -1.0; |
|
331
|
|
|
} |
|
332
|
|
|
|
|
333
|
|
|
return acos($num); |
|
334
|
|
|
} |
|
335
|
|
|
|
|
336
|
|
|
/** |
|
337
|
|
|
* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a |
|
338
|
|
|
* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally. |
|
339
|
|
|
*/ |
|
340
|
|
|
protected static function asin(float $num): float |
|
341
|
|
|
{ |
|
342
|
|
|
if ($num > 1.0) { |
|
343
|
|
|
$num = 1.0; |
|
344
|
|
|
} elseif ($num < -1.0) { |
|
345
|
|
|
$num = -1.0; |
|
346
|
|
|
} |
|
347
|
|
|
|
|
348
|
|
|
return asin($num); |
|
349
|
|
|
} |
|
350
|
|
|
|
|
351
|
|
|
abstract public function getCRS(): CoordinateReferenceSystem; |
|
352
|
|
|
|
|
353
|
|
|
abstract public function getCoordinateEpoch(): ?DateTimeImmutable; |
|
354
|
|
|
|
|
355
|
|
|
abstract public function calculateDistance(self $to): Length; |
|
356
|
|
|
} |
|
357
|
|
|
|
The issue could also be caused by a filter entry in the build configuration. If the path has been excluded in your configuration, e.g.
excluded_paths: ["lib/*"], you can move it to the dependency path list as follows:For further information see https://scrutinizer-ci.com/docs/tools/php/php-scrutinizer/#list-dependency-paths