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<?php |
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namespace Bavix\Geo; |
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use Bavix\Geo\Geometry\Line; |
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use Bavix\Geo\Geometry\Quadrangle; |
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use Bavix\Geo\Unit\Distance; |
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class Metrical |
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{ |
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/** |
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* @param Coordinate $center |
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* @param Distance $unit |
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* |
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* @return Quadrangle |
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*/ |
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public function squareByHypotenuse(Coordinate $center, Distance $unit): Quadrangle |
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{ |
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$item = clone $unit; |
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$item->miles /= \sqrt(2); |
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return $this->square($center, $item); |
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} |
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/** |
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* @param Coordinate $center |
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* @param Distance $unit |
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* |
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* @return Quadrangle |
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*/ |
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public function square(Coordinate $center, Distance $unit): Quadrangle |
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{ |
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return $this->rectangle($center, $unit, $unit); |
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} |
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/** |
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* @param Coordinate $center |
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* @param Distance $unitX |
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* @param Distance $unitY |
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* |
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* @return Quadrangle |
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*/ |
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public function rectangle(Coordinate $center, Distance $unitX, Distance $unitY): Quadrangle |
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{ |
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$vx = \rad2deg($unitX->nauticalMiles / 60.); |
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$vy = \rad2deg($unitY->nauticalMiles / 60.); |
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$dx = \deg2rad(\hypot($vx, $vx) / 2.); |
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$dy = \deg2rad(\hypot(0, $vy)); |
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$computedX = $center->plus($dx, 0); |
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$computedY = $center->plus(0, $dy); |
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$lineX = new Line(); |
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$lineX->push($center); |
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$lineY = clone $lineX; |
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$lineX->push($computedX); |
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$lineY->push($computedY); |
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$latitude = $this->axisComputed($lineX, $unitX); |
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$longitude = $this->axisComputed($lineY, $unitY, false); |
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return Quadrangle::makeWithXY( |
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$center, |
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$unitX->miles * $latitude, |
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$unitY->miles * $longitude |
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); |
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} |
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/** |
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* @param Line $line |
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* @param Distance $unit |
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* @param bool $isAxisX |
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* |
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* @return float |
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*/ |
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protected function axisComputed(Line $line, Distance $unit, bool $isAxisX = true): float |
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{ |
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$computed = $line->pop(); |
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$center = $line->pop(); |
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$iterator = 0; |
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$eps = $this->computedEps($unit); |
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$computed = $computed->plus( |
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$eps * $isAxisX, |
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$eps * !$isAxisX |
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); |
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while ($iterator < 256) { |
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$distance = $center->distanceTo($computed); |
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$eps += $this->computedEps($distance); |
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if ($distance->compareTo($unit)->greaterThanOrEqual()) { |
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break; |
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} |
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$computed = $computed->plus( |
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$eps * $isAxisX, |
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$eps * !$isAxisX |
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); |
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$iterator++; |
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} |
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if ($isAxisX) { |
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$result = $center->latitude->degrees - $computed->latitude->degrees; |
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} else { |
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$result = $center->longitude->degrees - $computed->longitude->degrees; |
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} |
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return \abs($result) / $unit->miles; |
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} |
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/** |
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* @param Distance $axis |
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* |
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* @return float |
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*/ |
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protected function computedEps(Distance $axis): float |
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{ |
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return \max( |
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\round($axis->miles, 5) / 1e5, |
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1e-7 |
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); |
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} |
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} |
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bavix /
geo
