Point::generalPolynomialUnitless() - Code Metrics - Inspection of "Allow for coordinate domains to switch mid-concate..." - dvdoug/PHPCoord - Measure and Improve Code Quality continuously with Scrutinizer

Passed

Push — master ( 1c4ceb...50b2e6 )

by Doug

created 2021-05-31 17:51 UTC

Point::generalPolynomialUnitless() A

↳ Parent: Point

Complexity

Conditions	5
Paths	9

Size

Total Lines	41
Code Lines	19

Duplication

Lines	0
Ratio	0 %

Code Coverage

Tests	20
CRAP Score	5

Importance

Changes

Metric	Value
eloc	19
c	0
b	0
f	0
dl	0
loc	41
ccs	20
cts	20
cp	1
rs	9.3222
cc	5
nc	9
nop	11
crap	5

How to fix Many Parameters

<?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\ConvertiblePoint;
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_FORMULA = 1e-12;
    protected const ITERATION_CONVERGENCE_GRID = 0.0001;

    /**
     * @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'])) {
                $sourceCRS = $inReverse ? $operation['target_crs'] : $operation['source_crs'];
                $destCRS = CoordinateReferenceSystem::fromSRID($inReverse ? $operation['source_crs'] : $operation['target_crs']);

                // occasionally the CRS domain switches part way through the sequence (e.g. NAD86 geog to NAD86 geocen)
                if ($point instanceof ConvertiblePoint && $point->getCRS()->getSRID() !== $sourceCRS) {
                    $point = $point->convert(CoordinateReferenceSystem::fromSRID($sourceCRS), true);
                }
            } 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,
            CoordinateOperationMethods::EPSG_NADCON5_2D,
            CoordinateOperationMethods::EPSG_NADCON5_3D,
        ], 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 - $lambdaN) >= static::ITERATION_CONVERGENCE_FORMULA && abs($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_FORMULA);
        }

        $E = sqrt(1 + (($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\ConvertiblePoint;
25		use PHPCoord\CoordinateOperation\CoordinateOperationMethods;
26		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...
27		use PHPCoord\CoordinateOperation\CoordinateOperations;
28		use PHPCoord\CoordinateOperation\GeographicValue;
29		use PHPCoord\CoordinateOperation\GridProvider;
30		use PHPCoord\CoordinateReferenceSystem\CoordinateReferenceSystem;
31		use PHPCoord\CoordinateSystem\Axis;
32		use PHPCoord\Datum\Ellipsoid;
33		use PHPCoord\UnitOfMeasure\Angle\Angle;
34		use PHPCoord\UnitOfMeasure\Length\Length;
35		use PHPCoord\UnitOfMeasure\Length\Metre;
36		use PHPCoord\UnitOfMeasure\Scale\Coefficient;
37		use PHPCoord\UnitOfMeasure\Scale\Scale;
38		use PHPCoord\UnitOfMeasure\UnitOfMeasure;
39		use PHPCoord\UnitOfMeasure\UnitOfMeasureFactory;
40		use function preg_match;
41		use function sin;
42		use function sqrt;
43		use function sscanf;
44		use function str_replace;
45		use Stringable;
46		use function tan;
47		use function ucwords;
48
49		abstract class Point implements Stringable
50		{
51		protected const ITERATION_CONVERGENCE_FORMULA = 1e-12;
52		protected const ITERATION_CONVERGENCE_GRID = 0.0001;
53
54		/**
55		* @internal
56		*/
57	234	public function performOperation(string $srid, CoordinateReferenceSystem $to, bool $inReverse, array $additionalParams = []): self
58		{
59	234	$operations = self::resolveConcatenatedOperations($srid, $inReverse);
60
61	234	$point = $this;
62	234	foreach ($operations as $operationSrid => $operation) {
63	234	$method = CoordinateOperationMethods::getFunctionName($operation['method']);
64	234	if (isset($operation['source_crs'])) {
65		$sourceCRS = $inReverse ? $operation['target_crs'] : $operation['source_crs'];
66		$destCRS = CoordinateReferenceSystem::fromSRID($inReverse ? $operation['source_crs'] : $operation['target_crs']);
67
68		// occasionally the CRS domain switches part way through the sequence (e.g. NAD86 geog to NAD86 geocen)
69		if ($point instanceof ConvertiblePoint && $point->getCRS()->getSRID() !== $sourceCRS) {
70		$point = $point->convert(CoordinateReferenceSystem::fromSRID($sourceCRS), true);
71		}
72		} else {
73	234	$destCRS = $to;
74		}
75
76	234	$params = self::resolveParamsByOperation($operationSrid, $operation['method'], $inReverse);
77
78	234	if ($operation['method'] === CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE) {
79	9	$params['horizontalPoint'] = $additionalParams['horizontalPoint'];
80		}
81
82	234	if (PHP_MAJOR_VERSION >= 8) {
83		$point = $point->$method($destCRS, ...$params);
84		} else {
85	234	$point = $point->$method($destCRS, ...array_values($params));
86		}
87		}
88
89	234	$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
90
91	234	return $point;
92		}
93
94	234	protected static function camelCase(string $string): string
95		{
96	234	$string = str_replace([' ', '-'], '', ucwords($string, ' -'));
97	234	if (!preg_match('/^(EPSG\|[ABC][uv\d])/', $string)) {
98	234	$string = lcfirst($string);
99		}
100
101	234	return $string;
102		}
103
104	234	protected static function resolveConcatenatedOperations(string $operationSrid, bool $inReverse): array
105		{
106	234	$operations = [];
107	234	$operation = CoordinateOperations::getOperationData($operationSrid);
108	234	if (isset($operation['operations'])) {
109	8	foreach ($operation['operations'] as $subOperation) {
110	8	$subOperationData = CoordinateOperations::getOperationData($subOperation['operation']);
111	8	$subOperationData['source_crs'] = $subOperation['source_crs'];
112	8	$subOperationData['target_crs'] = $subOperation['target_crs'];
113	8	$operations[$subOperation['operation']] = $subOperationData;
114		}
115		} else {
116	234	$operations[$operationSrid] = $operation;
117		}
118
119	234	if ($inReverse) {
120	117	$operations = array_reverse($operations, true);
121		}
122
123	234	return $operations;
124		}
125
126	234	protected static function resolveParamsByOperation(string $operationSrid, string $methodSrid, bool $inReverse): array
127		{
128	234	$params = [];
129	234	$powerCoefficients = [];
130	234	foreach (CoordinateOperationParams::getParamData($operationSrid) as $paramName => $paramData) {
131	234	if (isset($paramData['fileProvider'])) {
132		$paramName = static::camelCase($paramName);
133		/** @var GridProvider $provider */
134		$provider = new $paramData['fileProvider']();
135		$params[$paramName] = $provider->provideGrid();
136		} else {
137	234	$value = $paramData['value'];
138	234	if ($inReverse && $paramData['reverses']) {
139	54	$value *= -1;
140		}
141	234	if ($paramData['uom']) {
142	234	$param = UnitOfMeasureFactory::makeUnit($value, $paramData['uom']);
143		} else {
144	9	$param = $paramData['value'];
145		}
146	234	$paramName = static::camelCase($paramName);
147	234	if (preg_match('/^(Au\|Bu)/', $paramName)) {
148	27	$powerCoefficients[$paramName] = $param;
149		} else {
150	234	$params[$paramName] = $param;
151		}
152		}
153		}
154	234	if ($powerCoefficients) {
155	27	$params['powerCoefficients'] = $powerCoefficients;
156		}
157	234	if (in_array($methodSrid, [
158	234	CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION,
159	234	CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION,
160	234	CoordinateOperationMethods::EPSG_NADCON5_2D,
161	234	CoordinateOperationMethods::EPSG_NADCON5_3D,
162	234	], true)) {
163		$params['inReverse'] = $inReverse;
164		}
165
166	234	return $params;
167		}
168
169	2052	protected function getAxisByName(string $name): ?Axis
170		{
171	2052	foreach ($this->getCRS()->getCoordinateSystem()->getAxes() as $axis) {
172	2052	if ($axis->getName() === $name) {
173	2052	return $axis;
174		}
175		}
176
177	1314	return null;
178		}
179
180	90	protected static function sign(float $number): int
181		{
182	90	if ($number < 0) {
183		return -1;
184		}
185
186	90	return 1;
187		}
188
189		/**
190		* Calculate surface distance between two points.
191		*/
192	153	protected static function vincenty(GeographicValue $from, GeographicValue $to, Ellipsoid $ellipsoid): Length
193		{
194	153	$a = $ellipsoid->getSemiMajorAxis()->asMetres()->getValue();
195	153	$b = $ellipsoid->getSemiMinorAxis()->asMetres()->getValue();
196	153	$f = $ellipsoid->getInverseFlattening();
197	153	$U1 = atan((1 - $f) * tan($from->getLatitude()->asRadians()->getValue()));
198	153	$U2 = atan((1 - $f) * tan($to->getLatitude()->asRadians()->getValue()));
199	153	$L = $to->getLongitude()->subtract($from->getLongitude())->asRadians()->getValue();
200
201	153	$lambda = $L;
202		do {
203	153	$lambdaN = $lambda;
204
205	153	$sinSigma = sqrt((cos($U2) * sin($lambda)) ** 2 + (cos($U1) * sin($U2) - sin($U1) * cos($U2) * cos($lambda)) ** 2);
206	153	$cosSigma = sin($U1) * sin($U2) + cos($U1) * cos($U2) * cos($lambda);
207	153	$sigma = atan2($sinSigma, $cosSigma);
208
209	153	$sinAlpha = cos($U1) * cos($U2) * sin($lambda) / $sinSigma;
210	153	$cosSqAlpha = (1 - $sinAlpha ** 2);
211	153	$cos2SigmaM = $cosSqAlpha ? $cosSigma - (2 * sin($U1) * sin($U2) / $cosSqAlpha) : 0;
212	153	$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
213	153	$lambda = $L + (1 - $C) * $f * $sinAlpha * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * $cosSigma * (-1 + 2 * $cos2SigmaM ** 2)));
214	153	} while (abs($lambda - $lambdaN) >= static::ITERATION_CONVERGENCE_FORMULA && abs($lambda) < M_PI);
215
216		// Antipodal case
217	153	if (abs($lambda) >= M_PI) {
218	27	if ($L >= 0) {
219	27	$LPrime = M_PI - $L;
220		} else {
221		$LPrime = -M_PI - $L;
222		}
223
224	27	$lambdaPrime = 0;
225	27	$sigma = M_PI - abs($U1 + $U2);
226	27	$sinSigma = sin($sigma);
227	27	$cosSqAlpha = 0.5;
228	27	$sinAlpha = 0;
229
230		do {
231	27	$sinAlphaN = $sinAlpha;
232
233	27	$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
234	27	$cos2SigmaM = cos($sigma) - 2 * sin($U1) * sin($U2) / $cosSqAlpha;
235	27	$D = (1 - $C) * $f * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * cos($sigma) * (-1 + 2 * $cos2SigmaM ** 2)));
236	27	$sinAlpha = ($LPrime - $lambdaPrime) / $D;
237	27	$cosSqAlpha = (1 - $sinAlpha ** 2);
238	27	$sinLambdaPrime = ($sinAlpha * $sinSigma) / (cos($U1) * cos($U2));
239	27	$lambdaPrime = self::asin($sinLambdaPrime);
240	27	$sinSqSigma = (cos($U2) * $sinLambdaPrime) ** 2 + (cos($U1) * sin($U2) + sin($U1) * cos($U2) * cos($lambdaPrime)) ** 2;
241	27	$sinSigma = sqrt($sinSqSigma);
242	27	} while (abs($sinAlpha - $sinAlphaN) >= static::ITERATION_CONVERGENCE_FORMULA);
243		}
244
245	153	$E = sqrt(1 + (($a 2 - $b 2) / $b ** 2) * $cosSqAlpha);
246	153	$F = ($E - 1) / ($E + 1);
247
248	153	$A = (1 + $F ** 2 / 4) / (1 - $F);
249	153	$B = $F * (1 - 3 / 8 * $F ** 2);
250
251	153	$deltaSigma = $B * $sinSigma * ($cos2SigmaM + $B / 4 * ($cosSigma * (-1 + 2 * $cos2SigmaM ** 2) - $B / 6 * $cos2SigmaM * (-3 + 4 * $sinSigma ** 2) * (-3 + 4 * $cos2SigmaM ** 2)));
252
253	153	return new Metre($b * $A * ($sigma - $deltaSigma));
254		}
255
256		/**
257		* General polynomial.
258		* @param Coefficient[] $powerCoefficients
259		*/
260	18	protected function generalPolynomialUnitless(
261		float $xs,
262		float $ys,
263		UnitOfMeasure $ordinate1OfEvaluationPointInSourceCRS,
264		UnitOfMeasure $ordinate2OfEvaluationPointInSourceCRS,
265		UnitOfMeasure $ordinate1OfEvaluationPointInTargetCRS,
266		UnitOfMeasure $ordinate2OfEvaluationPointInTargetCRS,
267		Scale $scalingFactorForSourceCRSCoordDifferences,
268		Scale $scalingFactorForTargetCRSCoordDifferences,
269		Scale $A0,
270		Scale $B0,
271		array $powerCoefficients
272		): array {
273	18	$xso = $ordinate1OfEvaluationPointInSourceCRS->getValue();
274	18	$yso = $ordinate2OfEvaluationPointInSourceCRS->getValue();
275	18	$xto = $ordinate1OfEvaluationPointInTargetCRS->getValue();
276	18	$yto = $ordinate2OfEvaluationPointInTargetCRS->getValue();
277
278	18	$U = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($xs - $xso);
279	18	$V = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($ys - $yso);
280
281	18	$mTdX = $A0->getValue();
282	18	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
283	18	if ($coefficientName[0] === 'A') {
284	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...
285	18	$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
286		}
287		}
288
289	18	$mTdY = $B0->getValue();
290	18	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
291	18	if ($coefficientName[0] === 'B') {
292	18	sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
293	18	$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
294		}
295		}
296
297	18	$xt = $xs - $xso + $xto + $mTdX / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
298	18	$yt = $ys - $yso + $yto + $mTdY / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
299
300	18	return ['xt' => $xt, 'yt' => $yt];
301		}
302
303		/**
304		* Reversible polynomial.
305		*/
306	36	protected function reversiblePolynomialUnitless(
307		float $xs,
308		float $ys,
309		Angle $ordinate1OfEvaluationPoint,
310		Angle $ordinate2OfEvaluationPoint,
311		Scale $scalingFactorForCoordDifferences,
312		Scale $A0,
313		Scale $B0,
314		array $powerCoefficients
315		): array {
316	36	$xo = $ordinate1OfEvaluationPoint->getValue();
317	36	$yo = $ordinate2OfEvaluationPoint->getValue();
318
319	36	$U = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($xs - $xo);
320	36	$V = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($ys - $yo);
321
322	36	$mTdX = $A0->getValue();
323	36	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
324	36	if ($coefficientName[0] === 'A') {
325	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...
326	36	$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
327		}
328		}
329
330	36	$mTdY = $B0->getValue();
331	36	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
332	36	if ($coefficientName[0] === 'B') {
333	36	sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
334	36	$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
335		}
336		}
337
338	36	$xt = $xs + $mTdX * $scalingFactorForCoordDifferences->asUnity()->getValue();
339	36	$yt = $ys + $mTdY * $scalingFactorForCoordDifferences->asUnity()->getValue();
340
341	36	return ['xt' => $xt, 'yt' => $yt];
342		}
343
344		/**
345		* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
346		* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
347		*/
348		protected static function acos(float $num): float
349		{
350		if ($num > 1.0) {
351		$num = 1.0;
352		} elseif ($num < -1) {
353		$num = -1.0;
354		}
355
356		return acos($num);
357		}
358
359		/**
360		* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
361		* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
362		*/
363	495	protected static function asin(float $num): float
364		{
365	495	if ($num > 1.0) {
366		$num = 1.0;
367	495	} elseif ($num < -1.0) {
368		$num = -1.0;
369		}
370
371	495	return asin($num);
372		}
373
374		abstract public function getCRS(): CoordinateReferenceSystem;
375
376		abstract public function getCoordinateEpoch(): ?DateTimeImmutable;
377
378		abstract public function calculateDistance(self $to): Length;
379		}
380

dvdoug / PHPCoord

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Point::generalPolynomialUnitless() A

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