Point::reversiblePolynomialUnitless() - Code Metrics - Inspection of "PHP7.3 compat" - dvdoug/PHPCoord - Measure and Improve Code Quality continuously with Scrutinizer

Passed

Push — 4.0.x ( 9ec284...cc1a77 )

by Doug

created 2021-03-03 22:57 UTC

Point::reversiblePolynomialUnitless() A

↳ Parent: Point

Complexity

Conditions	5
Paths	9

Size

Total Lines	36
Code Lines	17

Duplication

Lines	0
Ratio	0 %

Code Coverage

Tests	18
CRAP Score	5

Importance

Changes

Metric	Value
eloc	17
c	0
b	0
f	0
dl	0
loc	36
ccs	18
cts	18
cp	1
rs	9.3888
cc	5
nc	9
nop	8
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\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, 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) {
            $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();

    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	24	public function performOperation(string $srid, CoordinateReferenceSystem $to, bool $inReverse, array $additionalParams = []): self
55		{
56	24	$operations = self::resolveConcatenatedOperations($srid, $inReverse);
57
58	24	$point = $this;
59	24	foreach ($operations as $operationSrid => $operation) {
60	24	$method = CoordinateOperationMethods::getFunctionName($operation['method']);
61	24	if (isset($operation['source_crs'])) {
62		$destCRS = CoordinateReferenceSystem::fromSRID($inReverse ? $operation['source_crs'] : $operation['target_crs']);
63		} else {
64	24	$destCRS = $to;
65		}
66
67	24	$params = self::resolveParamsByOperation($operationSrid, $operation['method'], $inReverse);
68
69	24	if ($operation['method'] === CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE) {
70	1	$params['horizontalPoint'] = $additionalParams['horizontalPoint'];
71		}
72
73	24	if (PHP_MAJOR_VERSION >= 8) {
74		$point = $point->$method($destCRS, ...$params);
75		} else {
76	24	$point = $point->$method($destCRS, ...array_values($params));
77		}
78		}
79
80	24	$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
81
82	24	return $point;
83		}
84
85	24	protected static function camelCase(string $string): string
86		{
87	24	$string = str_replace([' ', '-'], '', ucwords($string, ' -'));
88	24	if (!preg_match('/^(EPSG\|[ABC][uv\d])/', $string)) {
89	24	$string = lcfirst($string);
90		}
91
92	24	return $string;
93		}
94
95	25	protected static function resolveConcatenatedOperations(string $operationSrid, bool $inReverse): array
96		{
97	25	$operations = [];
98	25	$operation = CoordinateOperations::getOperationData($operationSrid);
99	25	if (isset($operation['operations'])) {
100	1	foreach ($operation['operations'] as $subOperation) {
101	1	$subOperationData = CoordinateOperations::getOperationData($subOperation['operation']);
102	1	$subOperationData['source_crs'] = $subOperation['source_crs'];
103	1	$subOperationData['target_crs'] = $subOperation['target_crs'];
104	1	$operations[$subOperation['operation']] = $subOperationData;
105		}
106		} else {
107	25	$operations[$operationSrid] = $operation;
108		}
109
110	25	if ($inReverse) {
111	11	$operations = array_reverse($operations, true);
112		}
113
114	25	return $operations;
115		}
116
117	24	protected static function resolveParamsByOperation(string $operationSrid, string $methodSrid, bool $inReverse): array
118		{
119	24	$params = [];
120	24	$powerCoefficients = [];
121	24	foreach (CoordinateOperationParams::getParamData($operationSrid) as $paramName => $paramData) {
122	24	$value = $paramData['value'];
123	24	if ($inReverse && $paramData['reverses']) {
124	4	$value *= -1;
125		}
126	24	if ($paramData['uom']) {
127	24	$param = UnitOfMeasureFactory::makeUnit($value, $paramData['uom']);
128		} else {
129	1	$param = $paramData['value'];
130		}
131	24	$paramName = static::camelCase($paramName);
132	24	if (preg_match('/^(Au\|Bu)/', $paramName)) {
133	3	$powerCoefficients[$paramName] = $param;
134		} else {
135	24	$params[$paramName] = $param;
136		}
137		}
138	24	if ($powerCoefficients) {
139	3	$params['powerCoefficients'] = $powerCoefficients;
140		}
141	24	if (in_array($methodSrid, [
142	24	CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION,
143	24	CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION,
144	24	], true)) {
145		$params['inReverse'] = $inReverse;
146		}
147
148	24	return $params;
149		}
150
151	226	protected function getAxisByName(string $name): ?Axis
152		{
153	226	foreach ($this->getCRS()->getCoordinateSystem()->getAxes() as $axis) {
154	226	if ($axis->getName() === $name) {
155	226	return $axis;
156		}
157		}
158
159	145	return null;
160		}
161
162	10	protected static function sign(float $number): int
163		{
164	10	if ($number < 0) {
165		return -1;
166		}
167
168	10	return 1;
169		}
170
171		/**
172		* Calculate surface distance between two points.
173		*/
174	17	protected static function vincenty(GeographicValue $from, GeographicValue $to, Ellipsoid $ellipsoid): Length
175		{
176	17	$a = $ellipsoid->getSemiMajorAxis()->asMetres()->getValue();
177	17	$b = $ellipsoid->getSemiMinorAxis()->asMetres()->getValue();
178	17	$f = $ellipsoid->getInverseFlattening();
179	17	$U1 = atan((1 - $f) * tan($from->getLatitude()->asRadians()->getValue()));
180	17	$U2 = atan((1 - $f) * tan($to->getLatitude()->asRadians()->getValue()));
181	17	$L = $to->getLongitude()->subtract($from->getLongitude())->asRadians()->getValue();
182
183	17	$lambda = $L;
184		do {
185	17	$lambdaN = $lambda;
186
187	17	$sinSigma = sqrt((cos($U2) * sin($lambda)) ** 2 + (cos($U1) * sin($U2) - sin($U1) * cos($U2) * cos($lambda)) ** 2);
188	17	$cosSigma = sin($U1) * sin($U2) + cos($U1) * cos($U2) * cos($lambda);
189	17	$sigma = atan2($sinSigma, $cosSigma);
190
191	17	$sinAlpha = cos($U1) * cos($U2) * sin($lambda) / $sinSigma;
192	17	$cosSqAlpha = (1 - $sinAlpha ** 2);
193	17	$cos2SigmaM = $cosSqAlpha ? $cosSigma - (2 * sin($U1) * sin($U2) / $cosSqAlpha) : 0;
194	17	$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
195	17	$lambda = $L + (1 - $C) * $f * $sinAlpha * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * $cosSigma * (-1 + 2 * $cos2SigmaM ** 2)));
196	17	} while (abs($lambda - $lambdaN) >= static::ITERATION_CONVERGENCE && abs($lambda) < M_PI);
197
198		// Antipodal case
199	17	if (abs($lambda) >= M_PI) {
200	3	if ($L >= 0) {
201	3	$LPrime = M_PI - $L;
202		} else {
203		$LPrime = -M_PI - $L;
204		}
205
206	3	$lambdaPrime = 0;
207	3	$sigma = M_PI - abs($U1 + $U2);
208	3	$sinSigma = sin($sigma);
209	3	$cosSqAlpha = 0.5;
210	3	$sinAlpha = 0;
211
212		do {
213	3	$sinAlphaN = $sinAlpha;
214
215	3	$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
216	3	$cos2SigmaM = cos($sigma) - 2 * sin($U1) * sin($U2) / $cosSqAlpha;
217	3	$D = (1 - $C) * $f * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * cos($sigma) * (-1 + 2 * $cos2SigmaM ** 2)));
218	3	$sinAlpha = ($LPrime - $lambdaPrime) / $D;
219	3	$cosSqAlpha = (1 - $sinAlpha ** 2);
220	3	$sinLambdaPrime = ($sinAlpha * $sinSigma) / (cos($U1) * cos($U2));
221	3	$lambdaPrime = self::asin($sinLambdaPrime);
222	3	$sinSqSigma = (cos($U2) * $sinLambdaPrime) ** 2 + (cos($U1) * sin($U2) + sin($U1) * cos($U2) * cos($lambdaPrime)) ** 2;
223	3	$sinSigma = sqrt($sinSqSigma);
224	3	} while (abs($sinAlpha - $sinAlphaN) >= static::ITERATION_CONVERGENCE);
225		}
226
227	17	$E = sqrt(1 + (($a 2 - $b 2) / $b ** 2) * $cosSqAlpha);
228	17	$F = ($E - 1) / ($E + 1);
229
230	17	$A = (1 + $F ** 2 / 4) / (1 - $F);
231	17	$B = $F * (1 - 3 / 8 * $F ** 2);
232
233	17	$deltaSigma = $B * $sinSigma * ($cos2SigmaM + $B / 4 * ($cosSigma * (-1 + 2 * $cos2SigmaM ** 2) - $B / 6 * $cos2SigmaM * (-3 + 4 * $sinSigma ** 2) * (-3 + 4 * $cos2SigmaM ** 2)));
234
235	17	return new Metre($b * $A * ($sigma - $deltaSigma));
236		}
237
238		/**
239		* General polynomial.
240		* @param Coefficient[] $powerCoefficients
241		*/
242	2	protected function generalPolynomialUnitless(
243		float $xs,
244		float $ys,
245		UnitOfMeasure $ordinate1OfEvaluationPointInSourceCRS,
246		UnitOfMeasure $ordinate2OfEvaluationPointInSourceCRS,
247		UnitOfMeasure $ordinate1OfEvaluationPointInTargetCRS,
248		UnitOfMeasure $ordinate2OfEvaluationPointInTargetCRS,
249		Scale $scalingFactorForSourceCRSCoordDifferences,
250		Scale $scalingFactorForTargetCRSCoordDifferences,
251		Scale $A0,
252		Scale $B0,
253		array $powerCoefficients
254		): array {
255	2	$xso = $ordinate1OfEvaluationPointInSourceCRS->getValue();
256	2	$yso = $ordinate2OfEvaluationPointInSourceCRS->getValue();
257	2	$xto = $ordinate1OfEvaluationPointInTargetCRS->getValue();
258	2	$yto = $ordinate2OfEvaluationPointInTargetCRS->getValue();
259
260	2	$U = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($xs - $xso);
261	2	$V = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($ys - $yso);
262
263	2	$mTdX = $A0->getValue();
264	2	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
265	2	if ($coefficientName[0] === 'A') {
266	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...
267	2	$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
268		}
269		}
270
271	2	$mTdY = $B0->getValue();
272	2	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
273	2	if ($coefficientName[0] === 'B') {
274	2	sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
275	2	$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
276		}
277		}
278
279	2	$xt = $xs - $xso + $xto + $mTdX / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
280	2	$yt = $ys - $yso + $yto + $mTdY / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
281
282	2	return ['xt' => $xt, 'yt' => $yt];
283		}
284
285		/**
286		* Reversible polynomial.
287		*/
288	4	protected function reversiblePolynomialUnitless(
289		float $xs,
290		float $ys,
291		Angle $ordinate1OfEvaluationPoint,
292		Angle $ordinate2OfEvaluationPoint,
293		Scale $scalingFactorForCoordDifferences,
294		Scale $A0,
295		Scale $B0,
296		array $powerCoefficients
297		): array {
298	4	$xo = $ordinate1OfEvaluationPoint->getValue();
299	4	$yo = $ordinate2OfEvaluationPoint->getValue();
300
301	4	$U = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($xs - $xo);
302	4	$V = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($ys - $yo);
303
304	4	$mTdX = $A0->getValue();
305	4	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
306	4	if ($coefficientName[0] === 'A') {
307	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...
308	4	$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
309		}
310		}
311
312	4	$mTdY = $B0->getValue();
313	4	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
314	4	if ($coefficientName[0] === 'B') {
315	4	sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
316	4	$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
317		}
318		}
319
320	4	$xt = $xs + $mTdX * $scalingFactorForCoordDifferences->asUnity()->getValue();
321	4	$yt = $ys + $mTdY * $scalingFactorForCoordDifferences->asUnity()->getValue();
322
323	4	return ['xt' => $xt, 'yt' => $yt];
324		}
325
326		/**
327		* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
328		* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
329		*/
330		protected static function acos(float $num): float
331		{
332		if ($num > 1.0) {
333		$num = 1.0;
334		} elseif ($num < -1) {
335		$num = -1.0;
336		}
337
338		return acos($num);
339		}
340
341		/**
342		* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
343		* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
344		*/
345	54	protected static function asin(float $num): float
346		{
347	54	if ($num > 1.0) {
348		$num = 1.0;
349	54	} elseif ($num < -1.0) {
350		$num = -1.0;
351		}
352
353	54	return asin($num);
354		}
355
356		abstract public function getCRS();
357
358		abstract public function getCoordinateEpoch(): ?DateTimeImmutable;
359
360		abstract public function calculateDistance(self $to): Length;
361		}
362

dvdoug / PHPCoord

Push — 4.0.x ( 9ec284...cc1a77 )

Point::reversiblePolynomialUnitless() A

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