Point::resolveParamsByOperation() - Code Metrics - Inspection of "PHP7.4 compat" - dvdoug/PHPCoord - Measure and Improve Code Quality continuously with Scrutinizer

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Push — master ( aca036...b09582 )

by Doug

created 2021-05-13 20:08 UTC

Point::resolveParamsByOperation() B

↳ Parent: Point

Complexity

Conditions	9
Paths	40

Size

Total Lines	39
Code Lines	28

Duplication

Lines	0
Ratio	0 %

Code Coverage

Tests	22
CRAP Score	9.2946

Importance

Changes	2
Bugs	0	Features	0

Metric	Value
cc	9
eloc	28
c	2
b	0
f	0
nc	40
nop	3
dl	0
loc	39
ccs	22
cts	26
cp	0.8462
crap	9.2946
rs	8.0555

<?php
/**
 * PHPCoord.
 *
 * @author Doug Wright
 */
declare(strict_types=1);

namespace PHPCoord;

use function abs;
use function acos;
use function array_reverse;
use function array_values;
use function asin;
use function atan;
use function atan2;
use function cos;
use DateTimeImmutable;
use function in_array;
use function lcfirst;
use const M_PI;
use const PHP_MAJOR_VERSION;
use PHPCoord\CoordinateOperation\CoordinateOperationMethods;
use PHPCoord\CoordinateOperation\CoordinateOperationParams;
filter:
    dependency_paths: ["lib/*"]
use PHPCoord\CoordinateOperation\CoordinateOperations;
use PHPCoord\CoordinateOperation\GeographicValue;
use PHPCoord\CoordinateOperation\GridProvider;
use PHPCoord\CoordinateReferenceSystem\CoordinateReferenceSystem;
use PHPCoord\CoordinateSystem\Axis;
use PHPCoord\Datum\Ellipsoid;
use PHPCoord\UnitOfMeasure\Angle\Angle;
use PHPCoord\UnitOfMeasure\Length\Length;
use PHPCoord\UnitOfMeasure\Length\Metre;
use PHPCoord\UnitOfMeasure\Scale\Coefficient;
use PHPCoord\UnitOfMeasure\Scale\Scale;
use PHPCoord\UnitOfMeasure\UnitOfMeasure;
use PHPCoord\UnitOfMeasure\UnitOfMeasureFactory;
use function preg_match;
use function sin;
use function sqrt;
use function sscanf;
use function str_replace;
use Stringable;
use function tan;
use function ucwords;

abstract class Point implements Stringable
{
    protected const ITERATION_CONVERGENCE = 1e-12;

    /**
     * @internal
     */
    public function performOperation(string $srid, CoordinateReferenceSystem $to, bool $inReverse, array $additionalParams = []): self
    {
        $operations = self::resolveConcatenatedOperations($srid, $inReverse);

        $point = $this;
        foreach ($operations as $operationSrid => $operation) {
            $method = CoordinateOperationMethods::getFunctionName($operation['method']);
            if (isset($operation['source_crs'])) {
                $destCRS = CoordinateReferenceSystem::fromSRID($inReverse ? $operation['source_crs'] : $operation['target_crs']);
            } else {
                $destCRS = $to;
            }

            $params = self::resolveParamsByOperation($operationSrid, $operation['method'], $inReverse);

            if ($operation['method'] === CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE) {
                $params['horizontalPoint'] = $additionalParams['horizontalPoint'];
            }

            if (PHP_MAJOR_VERSION >= 8) {
                $point = $point->$method($destCRS, ...$params);
            } else {
                $point = $point->$method($destCRS, ...array_values($params));
            }
        }

        $point->crs = $to; //some operations are reused across CRSses (e.g. ETRS89 and WGS84), so the $destCRS of the final suboperation might not be the intended target

        return $point;
    }

    protected static function camelCase(string $string): string
    {
        $string = str_replace([' ', '-'], '', ucwords($string, ' -'));
        if (!preg_match('/^(EPSG|[ABC][uv\d])/', $string)) {
            $string = lcfirst($string);
        }

        return $string;
    }

    protected static function resolveConcatenatedOperations(string $operationSrid, bool $inReverse): array
    {
        $operations = [];
        $operation = CoordinateOperations::getOperationData($operationSrid);
        if (isset($operation['operations'])) {
            foreach ($operation['operations'] as $subOperation) {
                $subOperationData = CoordinateOperations::getOperationData($subOperation['operation']);
                $subOperationData['source_crs'] = $subOperation['source_crs'];
                $subOperationData['target_crs'] = $subOperation['target_crs'];
                $operations[$subOperation['operation']] = $subOperationData;
            }
        } else {
            $operations[$operationSrid] = $operation;
        }

        if ($inReverse) {
            $operations = array_reverse($operations, true);
        }

        return $operations;
    }

    protected static function resolveParamsByOperation(string $operationSrid, string $methodSrid, bool $inReverse): array
    {
        $params = [];
        $powerCoefficients = [];
        foreach (CoordinateOperationParams::getParamData($operationSrid) as $paramName => $paramData) {
            if (isset($paramData['fileProvider'])) {
                $paramName = static::camelCase($paramName);
                /** @var GridProvider $provider */
                $provider = new $paramData['fileProvider']();
                $params[$paramName] = $provider->provideGrid();
            } else {
                $value = $paramData['value'];
                if ($inReverse && $paramData['reverses']) {
                    $value *= -1;
                }
                if ($paramData['uom']) {
                    $param = UnitOfMeasureFactory::makeUnit($value, $paramData['uom']);
                } else {
                    $param = $paramData['value'];
                }
                $paramName = static::camelCase($paramName);
                if (preg_match('/^(Au|Bu)/', $paramName)) {
                    $powerCoefficients[$paramName] = $param;
                } else {
                    $params[$paramName] = $param;
                }
            }
        }
        if ($powerCoefficients) {
            $params['powerCoefficients'] = $powerCoefficients;
        }
        if (in_array($methodSrid, [
            CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION,
            CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION,
        ], true)) {
            $params['inReverse'] = $inReverse;
        }

        return $params;
    }

    protected function getAxisByName(string $name): ?Axis
    {
        foreach ($this->getCRS()->getCoordinateSystem()->getAxes() as $axis) {
            if ($axis->getName() === $name) {
                return $axis;
            }
        }

        return null;
    }

    protected static function sign(float $number): int
    {
        if ($number < 0) {
            return -1;
        }

        return 1;
    }

    /**
     * Calculate surface distance between two points.
     */
    protected static function vincenty(GeographicValue $from, GeographicValue $to, Ellipsoid $ellipsoid): Length
    {
        $a = $ellipsoid->getSemiMajorAxis()->asMetres()->getValue();
        $b = $ellipsoid->getSemiMinorAxis()->asMetres()->getValue();
        $f = $ellipsoid->getInverseFlattening();
        $U1 = atan((1 - $f) * tan($from->getLatitude()->asRadians()->getValue()));
        $U2 = atan((1 - $f) * tan($to->getLatitude()->asRadians()->getValue()));
        $L = $to->getLongitude()->subtract($from->getLongitude())->asRadians()->getValue();

        $lambda = $L;
        do {
            $lambdaN = $lambda;

            $sinSigma = sqrt((cos($U2) * sin($lambda)) ** 2 + (cos($U1) * sin($U2) - sin($U1) * cos($U2) * cos($lambda)) ** 2);
            $cosSigma = sin($U1) * sin($U2) + cos($U1) * cos($U2) * cos($lambda);
            $sigma = atan2($sinSigma, $cosSigma);

            $sinAlpha = cos($U1) * cos($U2) * sin($lambda) / $sinSigma;
            $cosSqAlpha = (1 - $sinAlpha ** 2);
            $cos2SigmaM = $cosSqAlpha ? $cosSigma - (2 * sin($U1) * sin($U2) / $cosSqAlpha) : 0;
            $C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
            $lambda = $L + (1 - $C) * $f * $sinAlpha * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * $cosSigma * (-1 + 2 * $cos2SigmaM ** 2)));
        } while (abs($lambda - $lambdaN) >= static::ITERATION_CONVERGENCE && abs($lambda) < M_PI);

        // Antipodal case
        if (abs($lambda) >= M_PI) {
            if ($L >= 0) {
                $LPrime = M_PI - $L;
            } else {
                $LPrime = -M_PI - $L;
            }

            $lambdaPrime = 0;
            $sigma = M_PI - abs($U1 + $U2);
            $sinSigma = sin($sigma);
            $cosSqAlpha = 0.5;
            $sinAlpha = 0;

            do {
                $sinAlphaN = $sinAlpha;

                $C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
                $cos2SigmaM = cos($sigma) - 2 * sin($U1) * sin($U2) / $cosSqAlpha;
                $D = (1 - $C) * $f * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * cos($sigma) * (-1 + 2 * $cos2SigmaM ** 2)));
                $sinAlpha = ($LPrime - $lambdaPrime) / $D;
                $cosSqAlpha = (1 - $sinAlpha ** 2);
                $sinLambdaPrime = ($sinAlpha * $sinSigma) / (cos($U1) * cos($U2));
                $lambdaPrime = self::asin($sinLambdaPrime);
                $sinSqSigma = (cos($U2) * $sinLambdaPrime) ** 2 + (cos($U1) * sin($U2) + sin($U1) * cos($U2) * cos($lambdaPrime)) ** 2;
                $sinSigma = sqrt($sinSqSigma);
            } while (abs($sinAlpha - $sinAlphaN) >= static::ITERATION_CONVERGENCE);
        }

        $E = sqrt(1 + (($a ** 2 - $b ** 2) / $b ** 2) * $cosSqAlpha);
        $F = ($E - 1) / ($E + 1);

        $A = (1 + $F ** 2 / 4) / (1 - $F);
        $B = $F * (1 - 3 / 8 * $F ** 2);

        $deltaSigma = $B * $sinSigma * ($cos2SigmaM + $B / 4 * ($cosSigma * (-1 + 2 * $cos2SigmaM ** 2) - $B / 6 * $cos2SigmaM * (-3 + 4 * $sinSigma ** 2) * (-3 + 4 * $cos2SigmaM ** 2)));

        return new Metre($b * $A * ($sigma - $deltaSigma));
    }

    /**
     * General polynomial.
     * @param Coefficient[] $powerCoefficients
     */
    protected function generalPolynomialUnitless(
        float $xs,
        float $ys,
        UnitOfMeasure $ordinate1OfEvaluationPointInSourceCRS,
        UnitOfMeasure $ordinate2OfEvaluationPointInSourceCRS,
        UnitOfMeasure $ordinate1OfEvaluationPointInTargetCRS,
        UnitOfMeasure $ordinate2OfEvaluationPointInTargetCRS,
        Scale $scalingFactorForSourceCRSCoordDifferences,
        Scale $scalingFactorForTargetCRSCoordDifferences,
        Scale $A0,
        Scale $B0,
        array $powerCoefficients
    ): array {
        $xso = $ordinate1OfEvaluationPointInSourceCRS->getValue();
        $yso = $ordinate2OfEvaluationPointInSourceCRS->getValue();
        $xto = $ordinate1OfEvaluationPointInTargetCRS->getValue();
        $yto = $ordinate2OfEvaluationPointInTargetCRS->getValue();

        $U = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($xs - $xso);
        $V = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($ys - $yso);

        $mTdX = $A0->getValue();
        foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
            if ($coefficientName[0] === 'A') {
                sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower);

                $mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
            }
        }

        $mTdY = $B0->getValue();
        foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
            if ($coefficientName[0] === 'B') {
                sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
                $mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
            }
        }

        $xt = $xs - $xso + $xto + $mTdX / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
        $yt = $ys - $yso + $yto + $mTdY / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();

        return ['xt' => $xt, 'yt' => $yt];
    }

    /**
     * Reversible polynomial.
     */
    protected function reversiblePolynomialUnitless(
        float $xs,
        float $ys,
        Angle $ordinate1OfEvaluationPoint,
        Angle $ordinate2OfEvaluationPoint,
        Scale $scalingFactorForCoordDifferences,
        Scale $A0,
        Scale $B0,
        array $powerCoefficients
    ): array {
        $xo = $ordinate1OfEvaluationPoint->getValue();
        $yo = $ordinate2OfEvaluationPoint->getValue();

        $U = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($xs - $xo);
        $V = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($ys - $yo);

        $mTdX = $A0->getValue();
        foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
            if ($coefficientName[0] === 'A') {
                sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower);

                $mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
            }
        }

        $mTdY = $B0->getValue();
        foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
            if ($coefficientName[0] === 'B') {
                sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
                $mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
            }
        }

        $xt = $xs + $mTdX * $scalingFactorForCoordDifferences->asUnity()->getValue();
        $yt = $ys + $mTdY * $scalingFactorForCoordDifferences->asUnity()->getValue();

        return ['xt' => $xt, 'yt' => $yt];
    }

    /**
     * Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
     * silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
     */
    protected static function acos(float $num): float
    {
        if ($num > 1.0) {
            $num = 1.0;
        } elseif ($num < -1) {
            $num = -1.0;
        }

        return acos($num);
    }

    /**
     * Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
     * silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
     */
    protected static function asin(float $num): float
    {
        if ($num > 1.0) {
            $num = 1.0;
        } elseif ($num < -1.0) {
            $num = -1.0;
        }

        return asin($num);
    }

    abstract public function getCRS(): CoordinateReferenceSystem;

    abstract public function getCoordinateEpoch(): ?DateTimeImmutable;

    abstract public function calculateDistance(self $to): Length;
}


1		<?php
2		/**
3		* PHPCoord.
4		*
5		* @author Doug Wright
6		*/
7		declare(strict_types=1);
8
9		namespace PHPCoord;
10
11		use function abs;
12		use function acos;
13		use function array_reverse;
14		use function array_values;
15		use function asin;
16		use function atan;
17		use function atan2;
18		use function cos;
19		use DateTimeImmutable;
20		use function in_array;
21		use function lcfirst;
22		use const M_PI;
23		use const PHP_MAJOR_VERSION;
24		use PHPCoord\CoordinateOperation\CoordinateOperationMethods;
25		use PHPCoord\CoordinateOperation\CoordinateOperationParams;
		0 ignored issues – show Bug introduced 2021-01-03 21:47 UTC by Report Bug Copy Issue Report The type `PHPCoord\CoordinateOpera...ordinateOperationParams` was not found. Maybe you did not declare it correctly or list all dependencies? 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: filter: dependency_paths: ["lib/"] For further information see https://scrutinizer-ci.com/docs/tools/php/php-scrutinizer/#list-dependency-paths Loading history...
26		use PHPCoord\CoordinateOperation\CoordinateOperations;
27		use PHPCoord\CoordinateOperation\GeographicValue;
28		use PHPCoord\CoordinateOperation\GridProvider;
29		use PHPCoord\CoordinateReferenceSystem\CoordinateReferenceSystem;
30		use PHPCoord\CoordinateSystem\Axis;
31		use PHPCoord\Datum\Ellipsoid;
32		use PHPCoord\UnitOfMeasure\Angle\Angle;
33		use PHPCoord\UnitOfMeasure\Length\Length;
34		use PHPCoord\UnitOfMeasure\Length\Metre;
35		use PHPCoord\UnitOfMeasure\Scale\Coefficient;
36		use PHPCoord\UnitOfMeasure\Scale\Scale;
37		use PHPCoord\UnitOfMeasure\UnitOfMeasure;
38		use PHPCoord\UnitOfMeasure\UnitOfMeasureFactory;
39		use function preg_match;
40		use function sin;
41		use function sqrt;
42		use function sscanf;
43		use function str_replace;
44		use Stringable;
45		use function tan;
46		use function ucwords;
47
48		abstract class Point implements Stringable
49		{
50		protected const ITERATION_CONVERGENCE = 1e-12;
51
52		/**
53		* @internal
54		*/
55	225	public function performOperation(string $srid, CoordinateReferenceSystem $to, bool $inReverse, array $additionalParams = []): self
56		{
57	225	$operations = self::resolveConcatenatedOperations($srid, $inReverse);
58
59	225	$point = $this;
60	225	foreach ($operations as $operationSrid => $operation) {
61	225	$method = CoordinateOperationMethods::getFunctionName($operation['method']);
62	225	if (isset($operation['source_crs'])) {
63		$destCRS = CoordinateReferenceSystem::fromSRID($inReverse ? $operation['source_crs'] : $operation['target_crs']);
64		} else {
65	225	$destCRS = $to;
66		}
67
68	225	$params = self::resolveParamsByOperation($operationSrid, $operation['method'], $inReverse);
69
70	225	if ($operation['method'] === CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE) {
71	9	$params['horizontalPoint'] = $additionalParams['horizontalPoint'];
72		}
73
74	225	if (PHP_MAJOR_VERSION >= 8) {
75		$point = $point->$method($destCRS, ...$params);
76		} else {
77	225	$point = $point->$method($destCRS, ...array_values($params));
78		}
79		}
80
81	225	$point->crs = $to; //some operations are reused across CRSses (e.g. ETRS89 and WGS84), so the $destCRS of the final suboperation might not be the intended target
82
83	225	return $point;
84		}
85
86	225	protected static function camelCase(string $string): string
87		{
88	225	$string = str_replace([' ', '-'], '', ucwords($string, ' -'));
89	225	if (!preg_match('/^(EPSG\|[ABC][uv\d])/', $string)) {
90	225	$string = lcfirst($string);
91		}
92
93	225	return $string;
94		}
95
96	225	protected static function resolveConcatenatedOperations(string $operationSrid, bool $inReverse): array
97		{
98	225	$operations = [];
99	225	$operation = CoordinateOperations::getOperationData($operationSrid);
100	225	if (isset($operation['operations'])) {
101	8	foreach ($operation['operations'] as $subOperation) {
102	8	$subOperationData = CoordinateOperations::getOperationData($subOperation['operation']);
103	8	$subOperationData['source_crs'] = $subOperation['source_crs'];
104	8	$subOperationData['target_crs'] = $subOperation['target_crs'];
105	8	$operations[$subOperation['operation']] = $subOperationData;
106		}
107		} else {
108	225	$operations[$operationSrid] = $operation;
109		}
110
111	225	if ($inReverse) {
112	108	$operations = array_reverse($operations, true);
113		}
114
115	225	return $operations;
116		}
117
118	225	protected static function resolveParamsByOperation(string $operationSrid, string $methodSrid, bool $inReverse): array
119		{
120	225	$params = [];
121	225	$powerCoefficients = [];
122	225	foreach (CoordinateOperationParams::getParamData($operationSrid) as $paramName => $paramData) {
123	225	if (isset($paramData['fileProvider'])) {
124		$paramName = static::camelCase($paramName);
125		/** @var GridProvider $provider */
126		$provider = new $paramData['fileProvider']();
127		$params[$paramName] = $provider->provideGrid();
128		} else {
129	225	$value = $paramData['value'];
130	225	if ($inReverse && $paramData['reverses']) {
131	45	$value *= -1;
132		}
133	225	if ($paramData['uom']) {
134	225	$param = UnitOfMeasureFactory::makeUnit($value, $paramData['uom']);
135		} else {
136	9	$param = $paramData['value'];
137		}
138	225	$paramName = static::camelCase($paramName);
139	225	if (preg_match('/^(Au\|Bu)/', $paramName)) {
140	27	$powerCoefficients[$paramName] = $param;
141		} else {
142	225	$params[$paramName] = $param;
143		}
144		}
145		}
146	225	if ($powerCoefficients) {
147	27	$params['powerCoefficients'] = $powerCoefficients;
148		}
149	225	if (in_array($methodSrid, [
150	225	CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION,
151	225	CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION,
152	225	], true)) {
153		$params['inReverse'] = $inReverse;
154		}
155
156	225	return $params;
157		}
158
159	2043	protected function getAxisByName(string $name): ?Axis
160		{
161	2043	foreach ($this->getCRS()->getCoordinateSystem()->getAxes() as $axis) {
162	2043	if ($axis->getName() === $name) {
163	2043	return $axis;
164		}
165		}
166
167	1314	return null;
168		}
169
170	90	protected static function sign(float $number): int
171		{
172	90	if ($number < 0) {
173		return -1;
174		}
175
176	90	return 1;
177		}
178
179		/**
180		* Calculate surface distance between two points.
181		*/
182	153	protected static function vincenty(GeographicValue $from, GeographicValue $to, Ellipsoid $ellipsoid): Length
183		{
184	153	$a = $ellipsoid->getSemiMajorAxis()->asMetres()->getValue();
185	153	$b = $ellipsoid->getSemiMinorAxis()->asMetres()->getValue();
186	153	$f = $ellipsoid->getInverseFlattening();
187	153	$U1 = atan((1 - $f) * tan($from->getLatitude()->asRadians()->getValue()));
188	153	$U2 = atan((1 - $f) * tan($to->getLatitude()->asRadians()->getValue()));
189	153	$L = $to->getLongitude()->subtract($from->getLongitude())->asRadians()->getValue();
190
191	153	$lambda = $L;
192		do {
193	153	$lambdaN = $lambda;
194
195	153	$sinSigma = sqrt((cos($U2) * sin($lambda)) ** 2 + (cos($U1) * sin($U2) - sin($U1) * cos($U2) * cos($lambda)) ** 2);
196	153	$cosSigma = sin($U1) * sin($U2) + cos($U1) * cos($U2) * cos($lambda);
197	153	$sigma = atan2($sinSigma, $cosSigma);
198
199	153	$sinAlpha = cos($U1) * cos($U2) * sin($lambda) / $sinSigma;
200	153	$cosSqAlpha = (1 - $sinAlpha ** 2);
201	153	$cos2SigmaM = $cosSqAlpha ? $cosSigma - (2 * sin($U1) * sin($U2) / $cosSqAlpha) : 0;
202	153	$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
203	153	$lambda = $L + (1 - $C) * $f * $sinAlpha * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * $cosSigma * (-1 + 2 * $cos2SigmaM ** 2)));
204	153	} while (abs($lambda - $lambdaN) >= static::ITERATION_CONVERGENCE && abs($lambda) < M_PI);
205
206		// Antipodal case
207	153	if (abs($lambda) >= M_PI) {
208	27	if ($L >= 0) {
209	27	$LPrime = M_PI - $L;
210		} else {
211		$LPrime = -M_PI - $L;
212		}
213
214	27	$lambdaPrime = 0;
215	27	$sigma = M_PI - abs($U1 + $U2);
216	27	$sinSigma = sin($sigma);
217	27	$cosSqAlpha = 0.5;
218	27	$sinAlpha = 0;
219
220		do {
221	27	$sinAlphaN = $sinAlpha;
222
223	27	$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
224	27	$cos2SigmaM = cos($sigma) - 2 * sin($U1) * sin($U2) / $cosSqAlpha;
225	27	$D = (1 - $C) * $f * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * cos($sigma) * (-1 + 2 * $cos2SigmaM ** 2)));
226	27	$sinAlpha = ($LPrime - $lambdaPrime) / $D;
227	27	$cosSqAlpha = (1 - $sinAlpha ** 2);
228	27	$sinLambdaPrime = ($sinAlpha * $sinSigma) / (cos($U1) * cos($U2));
229	27	$lambdaPrime = self::asin($sinLambdaPrime);
230	27	$sinSqSigma = (cos($U2) * $sinLambdaPrime) ** 2 + (cos($U1) * sin($U2) + sin($U1) * cos($U2) * cos($lambdaPrime)) ** 2;
231	27	$sinSigma = sqrt($sinSqSigma);
232	27	} while (abs($sinAlpha - $sinAlphaN) >= static::ITERATION_CONVERGENCE);
233		}
234
235	153	$E = sqrt(1 + (($a 2 - $b 2) / $b ** 2) * $cosSqAlpha);
236	153	$F = ($E - 1) / ($E + 1);
237
238	153	$A = (1 + $F ** 2 / 4) / (1 - $F);
239	153	$B = $F * (1 - 3 / 8 * $F ** 2);
240
241	153	$deltaSigma = $B * $sinSigma * ($cos2SigmaM + $B / 4 * ($cosSigma * (-1 + 2 * $cos2SigmaM ** 2) - $B / 6 * $cos2SigmaM * (-3 + 4 * $sinSigma ** 2) * (-3 + 4 * $cos2SigmaM ** 2)));
242
243	153	return new Metre($b * $A * ($sigma - $deltaSigma));
244		}
245
246		/**
247		* General polynomial.
248		* @param Coefficient[] $powerCoefficients
249		*/
250	18	protected function generalPolynomialUnitless(
251		float $xs,
252		float $ys,
253		UnitOfMeasure $ordinate1OfEvaluationPointInSourceCRS,
254		UnitOfMeasure $ordinate2OfEvaluationPointInSourceCRS,
255		UnitOfMeasure $ordinate1OfEvaluationPointInTargetCRS,
256		UnitOfMeasure $ordinate2OfEvaluationPointInTargetCRS,
257		Scale $scalingFactorForSourceCRSCoordDifferences,
258		Scale $scalingFactorForTargetCRSCoordDifferences,
259		Scale $A0,
260		Scale $B0,
261		array $powerCoefficients
262		): array {
263	18	$xso = $ordinate1OfEvaluationPointInSourceCRS->getValue();
264	18	$yso = $ordinate2OfEvaluationPointInSourceCRS->getValue();
265	18	$xto = $ordinate1OfEvaluationPointInTargetCRS->getValue();
266	18	$yto = $ordinate2OfEvaluationPointInTargetCRS->getValue();
267
268	18	$U = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($xs - $xso);
269	18	$V = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($ys - $yso);
270
271	18	$mTdX = $A0->getValue();
272	18	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
273	18	if ($coefficientName[0] === 'A') {
274	18	sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower);
		1 ignored issue – show Comprehensibility Best Practice introduced 2020-12-24 20:47 UTC by Report Bug Copy Issue Report The variable `$vPower` seems to be never defined. Loading history...
275	18	$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
276		}
277		}
278
279	18	$mTdY = $B0->getValue();
280	18	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
281	18	if ($coefficientName[0] === 'B') {
282	18	sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
283	18	$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
284		}
285		}
286
287	18	$xt = $xs - $xso + $xto + $mTdX / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
288	18	$yt = $ys - $yso + $yto + $mTdY / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
289
290	18	return ['xt' => $xt, 'yt' => $yt];
291		}
292
293		/**
294		* Reversible polynomial.
295		*/
296	36	protected function reversiblePolynomialUnitless(
297		float $xs,
298		float $ys,
299		Angle $ordinate1OfEvaluationPoint,
300		Angle $ordinate2OfEvaluationPoint,
301		Scale $scalingFactorForCoordDifferences,
302		Scale $A0,
303		Scale $B0,
304		array $powerCoefficients
305		): array {
306	36	$xo = $ordinate1OfEvaluationPoint->getValue();
307	36	$yo = $ordinate2OfEvaluationPoint->getValue();
308
309	36	$U = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($xs - $xo);
310	36	$V = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($ys - $yo);
311
312	36	$mTdX = $A0->getValue();
313	36	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
314	36	if ($coefficientName[0] === 'A') {
315	36	sscanf($coefficientName, 'Au%dv%d', $uPower, $vPower);
		1 ignored issue – show Comprehensibility Best Practice introduced 2020-12-24 20:47 UTC by Report Bug Copy Issue Report The variable `$vPower` seems to be never defined. Loading history...
316	36	$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
317		}
318		}
319
320	36	$mTdY = $B0->getValue();
321	36	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
322	36	if ($coefficientName[0] === 'B') {
323	36	sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
324	36	$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
325		}
326		}
327
328	36	$xt = $xs + $mTdX * $scalingFactorForCoordDifferences->asUnity()->getValue();
329	36	$yt = $ys + $mTdY * $scalingFactorForCoordDifferences->asUnity()->getValue();
330
331	36	return ['xt' => $xt, 'yt' => $yt];
332		}
333
334		/**
335		* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
336		* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
337		*/
338		protected static function acos(float $num): float
339		{
340		if ($num > 1.0) {
341		$num = 1.0;
342		} elseif ($num < -1) {
343		$num = -1.0;
344		}
345
346		return acos($num);
347		}
348
349		/**
350		* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
351		* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
352		*/
353	495	protected static function asin(float $num): float
354		{
355	495	if ($num > 1.0) {
356		$num = 1.0;
357	495	} elseif ($num < -1.0) {
358		$num = -1.0;
359		}
360
361	495	return asin($num);
362		}
363
364		abstract public function getCRS(): CoordinateReferenceSystem;
365
366		abstract public function getCoordinateEpoch(): ?DateTimeImmutable;
367
368		abstract public function calculateDistance(self $to): Length;
369		}
370

dvdoug / PHPCoord

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Point::resolveParamsByOperation() B

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