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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 function abs; |
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use function acos; |
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use function array_reverse; |
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use function array_values; |
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use function asin; |
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use function atan; |
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use function atan2; |
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use function cos; |
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use DateTimeImmutable; |
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use function lcfirst; |
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use const M_PI; |
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use const PHP_MAJOR_VERSION; |
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use PHPCoord\CoordinateOperation\ConvertiblePoint; |
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use PHPCoord\CoordinateOperation\CoordinateOperationMethods; |
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use PHPCoord\CoordinateOperation\CoordinateOperationParams; |
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use PHPCoord\CoordinateOperation\CoordinateOperations; |
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use PHPCoord\CoordinateOperation\GeographicValue; |
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use PHPCoord\CoordinateReferenceSystem\CoordinateReferenceSystem; |
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use PHPCoord\CoordinateSystem\Axis; |
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use PHPCoord\Datum\Ellipsoid; |
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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\Length\Metre; |
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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 PHPCoord\UnitOfMeasure\UnitOfMeasureFactory; |
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use function preg_match; |
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use function sin; |
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use function sqrt; |
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use function sscanf; |
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use function str_replace; |
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use function str_starts_with; |
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use Stringable; |
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use function tan; |
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use function ucwords; |
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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_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX, |
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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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]; |
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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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]; |
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/** |
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* @internal |
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*/ |
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245 |
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public function performOperation(string $srid, CoordinateReferenceSystem $to, bool $inReverse, array $additionalParams = []): self |
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{ |
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$operations = self::resolveConcatenatedOperations($srid, $inReverse); |
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245 |
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$point = $this; |
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foreach ($operations as $operationSrid => $operation) { |
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$method = CoordinateOperationMethods::getFunctionName($operation['method']); |
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245 |
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if (isset($operation['source_crs'])) { |
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$sourceCRS = $inReverse ? $operation['target_crs'] : $operation['source_crs']; |
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$destCRS = CoordinateReferenceSystem::fromSRID($inReverse ? $operation['source_crs'] : $operation['target_crs']); |
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// occasionally the CRS domain switches part way through the sequence (e.g. NAD86 geog to NAD86 geocen) |
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if ($point instanceof ConvertiblePoint && $point->getCRS()->getSRID() !== $sourceCRS) { |
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$point = $point->convert(CoordinateReferenceSystem::fromSRID($sourceCRS), true); |
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} |
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} else { |
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$destCRS = $to; |
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} |
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$params = self::resolveParamsByOperation($operationSrid, $operation['method'], $inReverse); |
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if (isset(self::METHODS_REQUIRING_HORIZONTAL_POINT[$operation['method']])) { |
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$params['horizontalPoint'] = $additionalParams['horizontalPoint']; |
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} |
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if (PHP_MAJOR_VERSION >= 8) { |
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$point = $point->$method($destCRS, ...$params); |
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} else { |
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$point = $point->$method($destCRS, ...array_values($params)); |
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} |
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} |
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// some operations are reused across CRSses (e.g. ETRS89 and WGS84), so the $destCRS of the final suboperation might not be the intended target |
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if ($point instanceof ConvertiblePoint && !$point->getCRS() instanceof $to) {// occasionally the CRS domain switches part way through the sequence (e.g. NAD86 geog to NAD86 geocen) |
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$point = $point->convert($to, true); |
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} |
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$point->crs = $to; |
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return $point; |
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} |
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/** |
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* @deprecated |
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*/ |
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protected static function camelCase(string $string): string |
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{ |
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$string = str_replace([' ', '-', '(', ')'], '', ucwords($string, ' -()')); |
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if (!preg_match('/^(EPSG|[ABC][uv\d])/', $string)) { |
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$string = lcfirst($string); |
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} |
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return $string; |
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} |
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protected static function resolveConcatenatedOperations(string $operationSrid, bool $inReverse): array |
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{ |
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$operations = []; |
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$operation = CoordinateOperations::getOperationData($operationSrid); |
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if (isset($operation['operations'])) { |
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foreach ($operation['operations'] as $subOperation) { |
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$subOperationData = CoordinateOperations::getOperationData($subOperation['operation']); |
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$subOperationData['source_crs'] = $subOperation['source_crs']; |
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$subOperationData['target_crs'] = $subOperation['target_crs']; |
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$operations[$subOperation['operation']] = $subOperationData; |
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} |
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} else { |
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$operations[$operationSrid] = $operation; |
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} |
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if ($inReverse) { |
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$operations = array_reverse($operations, true); |
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} |
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return $operations; |
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} |
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protected static function resolveParamsByOperation(string $operationSrid, string $methodSrid, bool $inReverse): array |
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{ |
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$params = []; |
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$powerCoefficients = []; |
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foreach (CoordinateOperationParams::getParamData($operationSrid) as $paramName => $paramData) { |
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if (isset($paramData['fileProvider'])) { |
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$params[$paramName] = (new $paramData['fileProvider']())->provideGrid(); |
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} else { |
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if ($inReverse && $paramData['reverses']) { |
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$paramData['value'] *= -1; |
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} |
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if ($paramData['uom']) { |
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$param = UnitOfMeasureFactory::makeUnit($paramData['value'], $paramData['uom']); |
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} else { |
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$param = $paramData['value']; |
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} |
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if (str_starts_with($paramName, 'Au') || str_starts_with($paramName, 'Bu')) { |
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$powerCoefficients[$paramName] = $param; |
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} else { |
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$params[$paramName] = $param; |
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} |
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} |
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} |
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if ($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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$params['inReverse'] = $inReverse; |
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} |
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return $params; |
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} |
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/** |
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* @deprecated |
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*/ |
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protected function getAxisByName(string $name): ?Axis |
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{ |
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foreach ($this->getCRS()->getCoordinateSystem()->getAxes() as $axis) { |
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if ($axis->getName() === $name) { |
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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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* Calculate surface distance between two points. |
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*/ |
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protected static function vincenty(GeographicValue $from, GeographicValue $to, Ellipsoid $ellipsoid): Length |
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{ |
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$a = $ellipsoid->getSemiMajorAxis()->asMetres()->getValue(); |
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$b = $ellipsoid->getSemiMinorAxis()->asMetres()->getValue(); |
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$f = $ellipsoid->getInverseFlattening(); |
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$U1 = atan((1 - $f) * tan($from->getLatitude()->asRadians()->getValue())); |
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$U2 = atan((1 - $f) * tan($to->getLatitude()->asRadians()->getValue())); |
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$L = $to->getLongitude()->subtract($from->getLongitude())->asRadians()->getValue(); |
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$lambda = $L; |
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do { |
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153 |
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$lambdaN = $lambda; |
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$sinSigma = sqrt((cos($U2) * sin($lambda)) ** 2 + (cos($U1) * sin($U2) - sin($U1) * cos($U2) * cos($lambda)) ** 2); |
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$cosSigma = sin($U1) * sin($U2) + cos($U1) * cos($U2) * cos($lambda); |
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$sigma = atan2($sinSigma, $cosSigma); |
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$sinAlpha = cos($U1) * cos($U2) * sin($lambda) / $sinSigma; |
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$cosSqAlpha = (1 - $sinAlpha ** 2); |
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$cos2SigmaM = $cosSqAlpha ? $cosSigma - (2 * sin($U1) * sin($U2) / $cosSqAlpha) : 0; |
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153 |
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$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha)); |
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$lambda = $L + (1 - $C) * $f * $sinAlpha * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * $cosSigma * (-1 + 2 * $cos2SigmaM ** 2))); |
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153 |
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} while (abs($lambda - $lambdaN) >= static::ITERATION_CONVERGENCE_FORMULA && abs($lambda) < M_PI); |
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// Antipodal case |
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if (abs($lambda) >= M_PI) { |
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27 |
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if ($L >= 0) { |
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$LPrime = M_PI - $L; |
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} else { |
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$LPrime = -M_PI - $L; |
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} |
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27 |
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$lambdaPrime = 0; |
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27 |
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$sigma = M_PI - abs($U1 + $U2); |
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27 |
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$sinSigma = sin($sigma); |
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27 |
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$cosSqAlpha = 0.5; |
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27 |
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$sinAlpha = 0; |
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do { |
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27 |
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$sinAlphaN = $sinAlpha; |
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27 |
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$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha)); |
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27 |
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$cos2SigmaM = cos($sigma) - 2 * sin($U1) * sin($U2) / $cosSqAlpha; |
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27 |
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$D = (1 - $C) * $f * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * cos($sigma) * (-1 + 2 * $cos2SigmaM ** 2))); |
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27 |
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$sinAlpha = ($LPrime - $lambdaPrime) / $D; |
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27 |
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$cosSqAlpha = (1 - $sinAlpha ** 2); |
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27 |
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$sinLambdaPrime = ($sinAlpha * $sinSigma) / (cos($U1) * cos($U2)); |
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27 |
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$lambdaPrime = self::asin($sinLambdaPrime); |
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27 |
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$sinSqSigma = (cos($U2) * $sinLambdaPrime) ** 2 + (cos($U1) * sin($U2) + sin($U1) * cos($U2) * cos($lambdaPrime)) ** 2; |
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255
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27 |
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$sinSigma = sqrt($sinSqSigma); |
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} while (abs($sinAlpha - $sinAlphaN) >= static::ITERATION_CONVERGENCE_FORMULA); |
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} |
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153 |
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$E = sqrt(1 + (($a ** 2 - $b ** 2) / $b ** 2) * $cosSqAlpha); |
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153 |
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$F = ($E - 1) / ($E + 1); |
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153 |
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$A = (1 + $F ** 2 / 4) / (1 - $F); |
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153 |
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$B = $F * (1 - 3 / 8 * $F ** 2); |
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153 |
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$deltaSigma = $B * $sinSigma * ($cos2SigmaM + $B / 4 * ($cosSigma * (-1 + 2 * $cos2SigmaM ** 2) - $B / 6 * $cos2SigmaM * (-3 + 4 * $sinSigma ** 2) * (-3 + 4 * $cos2SigmaM ** 2))); |
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267
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153 |
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return new Metre($b * $A * ($sigma - $deltaSigma)); |
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268
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} |
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269
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270
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/** |
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271
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* General polynomial. |
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272
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* @param Coefficient[] $powerCoefficients |
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*/ |
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274
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18 |
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protected function generalPolynomialUnitless( |
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float $xs, |
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276
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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 $powerCoefficients |
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286
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): array { |
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287
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18 |
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$xso = $ordinate1OfEvaluationPointInSourceCRS->getValue(); |
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288
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18 |
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$yso = $ordinate2OfEvaluationPointInSourceCRS->getValue(); |
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289
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18 |
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$xto = $ordinate1OfEvaluationPointInTargetCRS->getValue(); |
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290
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18 |
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$yto = $ordinate2OfEvaluationPointInTargetCRS->getValue(); |
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292
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18 |
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$U = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($xs - $xso); |
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293
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$V = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($ys - $yso); |
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294
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295
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$mTdX = $A0->getValue(); |
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18 |
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foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
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297
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18 |
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if ($coefficientName[0] === 'A') { |
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298
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18 |
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sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower); |
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299
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18 |
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$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
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300
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} |
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301
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} |
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302
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303
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18 |
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$mTdY = $B0->getValue(); |
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304
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18 |
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foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
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305
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18 |
|
if ($coefficientName[0] === 'B') { |
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306
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18 |
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sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower); |
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307
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18 |
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$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
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308
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} |
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309
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} |
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310
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|
311
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18 |
|
$xt = $xs - $xso + $xto + $mTdX / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue(); |
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312
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18 |
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$yt = $ys - $yso + $yto + $mTdY / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue(); |
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313
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|
314
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18 |
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return ['xt' => $xt, 'yt' => $yt]; |
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315
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} |
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316
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|
317
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/** |
|
318
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* Reversible polynomial. |
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319
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*/ |
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320
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36 |
|
protected function reversiblePolynomialUnitless( |
|
321
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float $xs, |
|
322
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|
float $ys, |
|
323
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|
Angle $ordinate1OfEvaluationPoint, |
|
324
|
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|
Angle $ordinate2OfEvaluationPoint, |
|
325
|
|
|
Scale $scalingFactorForCoordDifferences, |
|
326
|
|
|
Scale $A0, |
|
327
|
|
|
Scale $B0, |
|
328
|
|
|
array $powerCoefficients |
|
329
|
|
|
): array { |
|
330
|
36 |
|
$xo = $ordinate1OfEvaluationPoint->getValue(); |
|
331
|
36 |
|
$yo = $ordinate2OfEvaluationPoint->getValue(); |
|
332
|
|
|
|
|
333
|
36 |
|
$U = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($xs - $xo); |
|
334
|
36 |
|
$V = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($ys - $yo); |
|
335
|
|
|
|
|
336
|
36 |
|
$mTdX = $A0->getValue(); |
|
337
|
36 |
|
foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
|
338
|
36 |
|
if ($coefficientName[0] === 'A') { |
|
339
|
36 |
|
sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower); |
|
|
|
|
|
|
340
|
36 |
|
$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
|
341
|
|
|
} |
|
342
|
|
|
} |
|
343
|
|
|
|
|
344
|
36 |
|
$mTdY = $B0->getValue(); |
|
345
|
36 |
|
foreach ($powerCoefficients as $coefficientName => $coefficientValue) { |
|
346
|
36 |
|
if ($coefficientName[0] === 'B') { |
|
347
|
36 |
|
sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower); |
|
348
|
36 |
|
$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower; |
|
349
|
|
|
} |
|
350
|
|
|
} |
|
351
|
|
|
|
|
352
|
36 |
|
$xt = $xs + $mTdX * $scalingFactorForCoordDifferences->asUnity()->getValue(); |
|
353
|
36 |
|
$yt = $ys + $mTdY * $scalingFactorForCoordDifferences->asUnity()->getValue(); |
|
354
|
|
|
|
|
355
|
36 |
|
return ['xt' => $xt, 'yt' => $yt]; |
|
356
|
|
|
} |
|
357
|
|
|
|
|
358
|
|
|
/** |
|
359
|
|
|
* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a |
|
360
|
|
|
* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally. |
|
361
|
|
|
*/ |
|
362
|
|
|
protected static function acos(float $num): float |
|
363
|
|
|
{ |
|
364
|
|
|
if ($num > 1.0) { |
|
365
|
|
|
$num = 1.0; |
|
366
|
|
|
} elseif ($num < -1) { |
|
367
|
|
|
$num = -1.0; |
|
368
|
|
|
} |
|
369
|
|
|
|
|
370
|
|
|
return acos($num); |
|
371
|
|
|
} |
|
372
|
|
|
|
|
373
|
|
|
/** |
|
374
|
|
|
* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a |
|
375
|
|
|
* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally. |
|
376
|
|
|
*/ |
|
377
|
500 |
|
protected static function asin(float $num): float |
|
378
|
|
|
{ |
|
379
|
500 |
|
if ($num > 1.0) { |
|
380
|
|
|
$num = 1.0; |
|
381
|
500 |
|
} elseif ($num < -1.0) { |
|
382
|
|
|
$num = -1.0; |
|
383
|
|
|
} |
|
384
|
|
|
|
|
385
|
500 |
|
return asin($num); |
|
386
|
|
|
} |
|
387
|
|
|
|
|
388
|
|
|
abstract public function getCRS(): CoordinateReferenceSystem; |
|
389
|
|
|
|
|
390
|
|
|
abstract public function getCoordinateEpoch(): ?DateTimeImmutable; |
|
391
|
|
|
|
|
392
|
|
|
abstract public function calculateDistance(self $to): Length; |
|
393
|
|
|
} |
|
394
|
|
|
|
dvdoug /
PHPCoord
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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