Point::vincenty() - Code Metrics - Inspection of "Bypass intermediate CRS calculations where possibl..." - dvdoug/PHPCoord - Measure and Improve Code Quality continuously with Scrutinizer

Passed

Push — master ( 9abb61...fb6dbd )

by Doug

created 2021-02-25 01:40 UTC

Point::vincenty() B

↳ Parent: Point

Complexity

Conditions	7
Paths	6

Size

Total Lines	62
Code Lines	46

Duplication

Lines	0
Ratio	0 %

Code Coverage

Tests	43
CRAP Score	7.0005

Importance

Changes

Metric	Value
cc	7
eloc	46
c	0
b	0
f	0
nc	6
nop	3
dl	0
loc	62
ccs	43
cts	44
cp	0.9773
crap	7.0005
rs	8.2448

How to fix Long Method

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

dvdoug / PHPCoord

Push — master ( 9abb61...fb6dbd )

Point::vincenty() B

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