Point::asin() - Code Metrics - Inspection of "Update EPSG data" - dvdoug/PHPCoord - Measure and Improve Code Quality continuously with Scrutinizer

Passed

Push — master ( 3e5121...8c57bf )

by Doug

created 2021-09-16 15:47 UTC

Point::asin() A

↳ Parent: Point

Complexity

Conditions	3
Paths	3

Size

Total Lines	9
Code Lines	5

Duplication

Lines	0
Ratio	0 %

Code Coverage

Tests	4
CRAP Score	3.3332

Importance

Changes

Metric	Value
cc	3
eloc	5
nc	3
nop	1
dl	0
loc	9
ccs	4
cts	6
cp	0.6667
crap	3.3332
rs	10
c	0
b	0
f	0

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

namespace PHPCoord;

use function abs;
use function acos;
use function array_values;
use function asin;
use function atan;
use function atan2;
use function cos;
use DateTimeImmutable;
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\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 function str_starts_with;
use Stringable;
use function tan;
use function ucwords;

abstract class Point implements Stringable
{
    protected const ITERATION_CONVERGENCE_FORMULA = 1e-10;
    protected const ITERATION_CONVERGENCE_GRID = 0.0001;
    protected const METHODS_REQUIRING_HORIZONTAL_POINT = [
        CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE,
        CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX,
        CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019 => CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019,
    ];
    protected const METHODS_THAT_REQUIRE_DIRECTION = [
        CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION => CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION,
        CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION => CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION,
        CoordinateOperationMethods::EPSG_NADCON5_2D => CoordinateOperationMethods::EPSG_NADCON5_2D,
        CoordinateOperationMethods::EPSG_NADCON5_3D => CoordinateOperationMethods::EPSG_NADCON5_3D,
        CoordinateOperationMethods::EPSG_NTV2 => CoordinateOperationMethods::EPSG_NTV2,
        CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019 => CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019,
        CoordinateOperationMethods::EPSG_GEOCENTRIC_TRANSLATION_BY_GRID_INTERPOLATION_IGN => CoordinateOperationMethods::EPSG_GEOCENTRIC_TRANSLATION_BY_GRID_INTERPOLATION_IGN,
        CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX,
    ];

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

        $operation = CoordinateOperations::getOperationData($srid);
        $method = CoordinateOperationMethods::getFunctionName($operation['method']);
        $params = self::resolveParamsByOperation($srid, $operation['method'], $inReverse);

        if (isset(self::METHODS_REQUIRING_HORIZONTAL_POINT[$operation['method']])) {
            $params['horizontalPoint'] = $additionalParams['horizontalPoint'];
        }

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

        return $point;
    }

    /**
     * @deprecated
     */
    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 resolveParamsByOperation(string $operationSrid, string $methodSrid, bool $inReverse): array
    {
        $params = [];
        $powerCoefficients = [];
        foreach (CoordinateOperationParams::getParamData($operationSrid) as $paramName => $paramData) {
            if (isset($paramData['fileProvider'])) {
                $params[$paramName] = (new $paramData['fileProvider']())->provideGrid();
            } else {
                if ($inReverse && $paramData['reverses']) {
                    $paramData['value'] *= -1;
                }
                if ($paramData['uom']) {
                    $param = UnitOfMeasureFactory::makeUnit($paramData['value'], $paramData['uom']);
                } else {
                    $param = $paramData['value'];
                }
                if (str_starts_with($paramName, 'Au') || str_starts_with($paramName, 'Bu')) {
                    $powerCoefficients[$paramName] = $param;
                } else {
                    $params[$paramName] = $param;
                }
            }
        }
        if ($powerCoefficients) {
            $params['powerCoefficients'] = $powerCoefficients;
        }
        if (isset(self::METHODS_THAT_REQUIRE_DIRECTION[$methodSrid])) {
            $params['inReverse'] = $inReverse;
        }

        return $params;
    }

    /**
     * @deprecated
     */
    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_values;
14		use function asin;
15		use function atan;
16		use function atan2;
17		use function cos;
18		use DateTimeImmutable;
19		use function lcfirst;
20		use const M_PI;
21		use const PHP_MAJOR_VERSION;
22		use PHPCoord\CoordinateOperation\CoordinateOperationMethods;
23		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...
24		use PHPCoord\CoordinateOperation\CoordinateOperations;
25		use PHPCoord\CoordinateOperation\GeographicValue;
26		use PHPCoord\CoordinateReferenceSystem\CoordinateReferenceSystem;
27		use PHPCoord\CoordinateSystem\Axis;
28		use PHPCoord\Datum\Ellipsoid;
29		use PHPCoord\UnitOfMeasure\Angle\Angle;
30		use PHPCoord\UnitOfMeasure\Length\Length;
31		use PHPCoord\UnitOfMeasure\Length\Metre;
32		use PHPCoord\UnitOfMeasure\Scale\Coefficient;
33		use PHPCoord\UnitOfMeasure\Scale\Scale;
34		use PHPCoord\UnitOfMeasure\UnitOfMeasure;
35		use PHPCoord\UnitOfMeasure\UnitOfMeasureFactory;
36		use function preg_match;
37		use function sin;
38		use function sqrt;
39		use function sscanf;
40		use function str_replace;
41		use function str_starts_with;
42		use Stringable;
43		use function tan;
44		use function ucwords;
45
46		abstract class Point implements Stringable
47		{
48		protected const ITERATION_CONVERGENCE_FORMULA = 1e-10;
49		protected const ITERATION_CONVERGENCE_GRID = 0.0001;
50		protected const METHODS_REQUIRING_HORIZONTAL_POINT = [
51		CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_AND_SLOPE,
52		CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX,
53		CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019 => CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019,
54		];
55		protected const METHODS_THAT_REQUIRE_DIRECTION = [
56		CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION => CoordinateOperationMethods::EPSG_SIMILARITY_TRANSFORMATION,
57		CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION => CoordinateOperationMethods::EPSG_AFFINE_PARAMETRIC_TRANSFORMATION,
58		CoordinateOperationMethods::EPSG_NADCON5_2D => CoordinateOperationMethods::EPSG_NADCON5_2D,
59		CoordinateOperationMethods::EPSG_NADCON5_3D => CoordinateOperationMethods::EPSG_NADCON5_3D,
60		CoordinateOperationMethods::EPSG_NTV2 => CoordinateOperationMethods::EPSG_NTV2,
61		CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019 => CoordinateOperationMethods::EPSG_ZERO_TIDE_HEIGHT_TO_MEAN_TIDE_HEIGHT_EVRF2019,
62		CoordinateOperationMethods::EPSG_GEOCENTRIC_TRANSLATION_BY_GRID_INTERPOLATION_IGN => CoordinateOperationMethods::EPSG_GEOCENTRIC_TRANSLATION_BY_GRID_INTERPOLATION_IGN,
63		CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX => CoordinateOperationMethods::EPSG_VERTICAL_OFFSET_BY_GRID_INTERPOLATION_GTX,
64		];
65
66		/**
67		* @internal
68		*/
69	254	public function performOperation(string $srid, CoordinateReferenceSystem $to, bool $inReverse, array $additionalParams = []): self
70		{
71	254	$point = $this;
72
73	254	$operation = CoordinateOperations::getOperationData($srid);
74	254	$method = CoordinateOperationMethods::getFunctionName($operation['method']);
75	254	$params = self::resolveParamsByOperation($srid, $operation['method'], $inReverse);
76
77	254	if (isset(self::METHODS_REQUIRING_HORIZONTAL_POINT[$operation['method']])) {
78	9	$params['horizontalPoint'] = $additionalParams['horizontalPoint'];
79		}
80
81	254	if (PHP_MAJOR_VERSION >= 8) {
82	254	$point = $point->$method($to, ...$params);
83		} else {
84		$point = $point->$method($to, ...array_values($params));
85		}
86
87	254	return $point;
88		}
89
90		/**
91		* @deprecated
92		*/
93		protected static function camelCase(string $string): string
94		{
95		$string = str_replace([' ', '-', '(', ')'], '', ucwords($string, ' -()'));
96		if (!preg_match('/^(EPSG\|[ABC][uv\d])/', $string)) {
97		$string = lcfirst($string);
98		}
99
100		return $string;
101		}
102
103	254	protected static function resolveParamsByOperation(string $operationSrid, string $methodSrid, bool $inReverse): array
104		{
105	254	$params = [];
106	254	$powerCoefficients = [];
107	254	foreach (CoordinateOperationParams::getParamData($operationSrid) as $paramName => $paramData) {
108	254	if (isset($paramData['fileProvider'])) {
109	7	$params[$paramName] = (new $paramData['fileProvider']())->provideGrid();
110		} else {
111	254	if ($inReverse && $paramData['reverses']) {
112	68	$paramData['value'] *= -1;
113		}
114	254	if ($paramData['uom']) {
115	254	$param = UnitOfMeasureFactory::makeUnit($paramData['value'], $paramData['uom']);
116		} else {
117	10	$param = $paramData['value'];
118		}
119	254	if (str_starts_with($paramName, 'Au') \|\| str_starts_with($paramName, 'Bu')) {
120	27	$powerCoefficients[$paramName] = $param;
121		} else {
122	254	$params[$paramName] = $param;
123		}
124		}
125		}
126	254	if ($powerCoefficients) {
127	27	$params['powerCoefficients'] = $powerCoefficients;
128		}
129	254	if (isset(self::METHODS_THAT_REQUIRE_DIRECTION[$methodSrid])) {
130	3	$params['inReverse'] = $inReverse;
131		}
132
133	254	return $params;
134		}
135
136		/**
137		* @deprecated
138		*/
139		protected function getAxisByName(string $name): ?Axis
140		{
141		foreach ($this->getCRS()->getCoordinateSystem()->getAxes() as $axis) {
142		if ($axis->getName() === $name) {
143		return $axis;
144		}
145		}
146
147		return null;
148		}
149
150	90	protected static function sign(float $number): int
151		{
152	90	if ($number < 0) {
153		return -1;
154		}
155
156	90	return 1;
157		}
158
159		/**
160		* Calculate surface distance between two points.
161		*/
162	153	protected static function vincenty(GeographicValue $from, GeographicValue $to, Ellipsoid $ellipsoid): Length
163		{
164	153	$a = $ellipsoid->getSemiMajorAxis()->asMetres()->getValue();
165	153	$b = $ellipsoid->getSemiMinorAxis()->asMetres()->getValue();
166	153	$f = $ellipsoid->getInverseFlattening();
167	153	$U1 = atan((1 - $f) * tan($from->getLatitude()->asRadians()->getValue()));
168	153	$U2 = atan((1 - $f) * tan($to->getLatitude()->asRadians()->getValue()));
169	153	$L = $to->getLongitude()->subtract($from->getLongitude())->asRadians()->getValue();
170
171	153	$lambda = $L;
172		do {
173	153	$lambdaN = $lambda;
174
175	153	$sinSigma = sqrt((cos($U2) * sin($lambda)) ** 2 + (cos($U1) * sin($U2) - sin($U1) * cos($U2) * cos($lambda)) ** 2);
176	153	$cosSigma = sin($U1) * sin($U2) + cos($U1) * cos($U2) * cos($lambda);
177	153	$sigma = atan2($sinSigma, $cosSigma);
178
179	153	$sinAlpha = cos($U1) * cos($U2) * sin($lambda) / $sinSigma;
180	153	$cosSqAlpha = (1 - $sinAlpha ** 2);
181	153	$cos2SigmaM = $cosSqAlpha ? $cosSigma - (2 * sin($U1) * sin($U2) / $cosSqAlpha) : 0;
182	153	$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
183	153	$lambda = $L + (1 - $C) * $f * $sinAlpha * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * $cosSigma * (-1 + 2 * $cos2SigmaM ** 2)));
184	153	} while (abs($lambda - $lambdaN) >= static::ITERATION_CONVERGENCE_FORMULA && abs($lambda) < M_PI);
185
186		// Antipodal case
187	153	if (abs($lambda) >= M_PI) {
188	27	if ($L >= 0) {
189	27	$LPrime = M_PI - $L;
190		} else {
191		$LPrime = -M_PI - $L;
192		}
193
194	27	$lambdaPrime = 0;
195	27	$sigma = M_PI - abs($U1 + $U2);
196	27	$sinSigma = sin($sigma);
197	27	$cosSqAlpha = 0.5;
198	27	$sinAlpha = 0;
199
200		do {
201	27	$sinAlphaN = $sinAlpha;
202
203	27	$C = $f / 16 * $cosSqAlpha * (4 + $f * (4 - 3 * $cosSqAlpha));
204	27	$cos2SigmaM = cos($sigma) - 2 * sin($U1) * sin($U2) / $cosSqAlpha;
205	27	$D = (1 - $C) * $f * ($sigma + $C * $sinSigma * ($cos2SigmaM + $C * cos($sigma) * (-1 + 2 * $cos2SigmaM ** 2)));
206	27	$sinAlpha = ($LPrime - $lambdaPrime) / $D;
207	27	$cosSqAlpha = (1 - $sinAlpha ** 2);
208	27	$sinLambdaPrime = ($sinAlpha * $sinSigma) / (cos($U1) * cos($U2));
209	27	$lambdaPrime = self::asin($sinLambdaPrime);
210	27	$sinSqSigma = (cos($U2) * $sinLambdaPrime) ** 2 + (cos($U1) * sin($U2) + sin($U1) * cos($U2) * cos($lambdaPrime)) ** 2;
211	27	$sinSigma = sqrt($sinSqSigma);
212	27	} while (abs($sinAlpha - $sinAlphaN) >= static::ITERATION_CONVERGENCE_FORMULA);
213		}
214
215	153	$E = sqrt(1 + (($a 2 - $b 2) / $b ** 2) * $cosSqAlpha);
216	153	$F = ($E - 1) / ($E + 1);
217
218	153	$A = (1 + $F ** 2 / 4) / (1 - $F);
219	153	$B = $F * (1 - 3 / 8 * $F ** 2);
220
221	153	$deltaSigma = $B * $sinSigma * ($cos2SigmaM + $B / 4 * ($cosSigma * (-1 + 2 * $cos2SigmaM ** 2) - $B / 6 * $cos2SigmaM * (-3 + 4 * $sinSigma ** 2) * (-3 + 4 * $cos2SigmaM ** 2)));
222
223	153	return new Metre($b * $A * ($sigma - $deltaSigma));
224		}
225
226		/**
227		* General polynomial.
228		* @param Coefficient[] $powerCoefficients
229		*/
230	18	protected function generalPolynomialUnitless(
231		float $xs,
232		float $ys,
233		UnitOfMeasure $ordinate1OfEvaluationPointInSourceCRS,
234		UnitOfMeasure $ordinate2OfEvaluationPointInSourceCRS,
235		UnitOfMeasure $ordinate1OfEvaluationPointInTargetCRS,
236		UnitOfMeasure $ordinate2OfEvaluationPointInTargetCRS,
237		Scale $scalingFactorForSourceCRSCoordDifferences,
238		Scale $scalingFactorForTargetCRSCoordDifferences,
239		Scale $A0,
240		Scale $B0,
241		array $powerCoefficients
242		): array {
243	18	$xso = $ordinate1OfEvaluationPointInSourceCRS->getValue();
244	18	$yso = $ordinate2OfEvaluationPointInSourceCRS->getValue();
245	18	$xto = $ordinate1OfEvaluationPointInTargetCRS->getValue();
246	18	$yto = $ordinate2OfEvaluationPointInTargetCRS->getValue();
247
248	18	$U = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($xs - $xso);
249	18	$V = $scalingFactorForSourceCRSCoordDifferences->asUnity()->getValue() * ($ys - $yso);
250
251	18	$mTdX = $A0->getValue();
252	18	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
253	18	if ($coefficientName[0] === 'A') {
254	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...
255	18	$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
256		}
257		}
258
259	18	$mTdY = $B0->getValue();
260	18	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
261	18	if ($coefficientName[0] === 'B') {
262	18	sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
263	18	$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
264		}
265		}
266
267	18	$xt = $xs - $xso + $xto + $mTdX / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
268	18	$yt = $ys - $yso + $yto + $mTdY / $scalingFactorForTargetCRSCoordDifferences->asUnity()->getValue();
269
270	18	return ['xt' => $xt, 'yt' => $yt];
271		}
272
273		/**
274		* Reversible polynomial.
275		*/
276	36	protected function reversiblePolynomialUnitless(
277		float $xs,
278		float $ys,
279		Angle $ordinate1OfEvaluationPoint,
280		Angle $ordinate2OfEvaluationPoint,
281		Scale $scalingFactorForCoordDifferences,
282		Scale $A0,
283		Scale $B0,
284		array $powerCoefficients
285		): array {
286	36	$xo = $ordinate1OfEvaluationPoint->getValue();
287	36	$yo = $ordinate2OfEvaluationPoint->getValue();
288
289	36	$U = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($xs - $xo);
290	36	$V = $scalingFactorForCoordDifferences->asUnity()->getValue() * ($ys - $yo);
291
292	36	$mTdX = $A0->getValue();
293	36	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
294	36	if ($coefficientName[0] === 'A') {
295	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...
296	36	$mTdX += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
297		}
298		}
299
300	36	$mTdY = $B0->getValue();
301	36	foreach ($powerCoefficients as $coefficientName => $coefficientValue) {
302	36	if ($coefficientName[0] === 'B') {
303	36	sscanf($coefficientName, 'Bu%dv%d', $uPower, $vPower);
304	36	$mTdY += $coefficientValue->getValue() * $U ** $uPower * $V ** $vPower;
305		}
306		}
307
308	36	$xt = $xs + $mTdX * $scalingFactorForCoordDifferences->asUnity()->getValue();
309	36	$yt = $ys + $mTdY * $scalingFactorForCoordDifferences->asUnity()->getValue();
310
311	36	return ['xt' => $xt, 'yt' => $yt];
312		}
313
314		/**
315		* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
316		* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
317		*/
318		protected static function acos(float $num): float
319		{
320		if ($num > 1.0) {
321		$num = 1.0;
322		} elseif ($num < -1) {
323		$num = -1.0;
324		}
325
326		return acos($num);
327		}
328
329		/**
330		* Floating point vagaries mean that it's possible for inputs to be e.g. 1.00000000000001 which makes PHP give a
331		* silent NaN as output so inputs need to be capped. atan/atan2 are not affected, they seem to cap internally.
332		*/
333	500	protected static function asin(float $num): float
334		{
335	500	if ($num > 1.0) {
336		$num = 1.0;
337	500	} elseif ($num < -1.0) {
338		$num = -1.0;
339		}
340
341	500	return asin($num);
342		}
343
344		abstract public function getCRS(): CoordinateReferenceSystem;
345
346		abstract public function getCoordinateEpoch(): ?DateTimeImmutable;
347
348		abstract public function calculateDistance(self $to): Length;
349		}
350

dvdoug / PHPCoord

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Point::asin() A

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