Geo-Search (Distance) Optimization in PHP/MySQL
When performing distance-based queries on large tables containing latitude-longitude pairs, optimizing query performance becomes crucial. Consider the following challenges faced by a MySQL query:
Bound the Search Area
An efficient solution is to define a bounding box around the area of interest. The query can then select rows within this bounded region, reducing the number of distance calculations significantly. The Movable Type article provides a detailed guide on building bounding boxes and using them in SQL queries.
Vincenty Formula for More Accurate Results
If the Haversine formula is insufficient for accuracy, the Vincenty formula can be deployed. This JavaScript example demonstrates its implementation for calculating great-circle distances:
// Vincenty formula to calculate great circle distance between 2 locations expressed as Lat/Long in KM function VincentyDistance($lat1,$lat2,$lon1,$lon2){ $a = 6378137 - 21 * sin($lat1); $b = 6356752.3142; $f = 1/298.257223563; $p1_lat = $lat1/57.29577951; $p2_lat = $lat2/57.29577951; $p1_lon = $lon1/57.29577951; $p2_lon = $lon2/57.29577951; $L = $p2_lon - $p1_lon; $U1 = atan((1-$f) * tan($p1_lat)); $U2 = atan((1-$f) * tan($p2_lat)); $sinU1 = sin($U1); $cosU1 = cos($U1); $sinU2 = sin($U2); $cosU2 = cos($U2); $lambda = $L; $lambdaP = 2*M_PI; $iterLimit = 20; while(abs($lambda-$lambdaP) > 1e-12 && $iterLimit>0) { $sinLambda = sin($lambda); $cosLambda = cos($lambda); $sinSigma = sqrt(($cosU2*$sinLambda) * ($cosU2*$sinLambda) + ($cosU1*$sinU2-$sinU1*$cosU2*$cosLambda) * ($cosU1*$sinU2-$sinU1*$cosU2*$cosLambda)); //if ($sinSigma==0){return 0;} // co-incident points $cosSigma = $sinU1*$sinU2 + $cosU1*$cosU2*$cosLambda; $sigma = atan2($sinSigma, $cosSigma); $alpha = asin($cosU1 * $cosU2 * $sinLambda / $sinSigma); $cosSqAlpha = cos($alpha) * cos($alpha); $cos2SigmaM = $cosSigma - 2*$sinU1*$sinU2/$cosSqAlpha; $C = $f/16*$cosSqAlpha*(4+$f*(4-3*$cosSqAlpha)); $lambdaP = $lambda; $lambda = $L + (1-$C) * $f * sin($alpha) * ($sigma + $C*$sinSigma*($cos2SigmaM+$C*$cosSigma*(-1+2*$cos2SigmaM*$cos2SigmaM))); } $uSq = $cosSqAlpha*($a*$a-$b*$b)/($b*$b); $A = 1 + $uSq/16384*(4096+$uSq*(-768+$uSq*(320-175*$uSq))); $B = $uSq/1024 * (256+$uSq*(-128+$uSq*(74-47*$uSq))); $deltaSigma = $B*$sinSigma*($cos2SigmaM+$B/4*($cosSigma*(-1+2*$cos2SigmaM*$cos2SigmaM)- $B/6*$cos2SigmaM*(-3+4*$sinSigma*$sinSigma)*(-3+4*$cos2SigmaM*$cos2SigmaM))); $s = $b*$A*($sigma-$deltaSigma); return $s/1000; } echo VincentyDistance($lat1,$lat2,$lon1,$lon2);
Conclusion
By leveraging bounding boxes and considering alternative distance calculation methods, you can significantly improve the performance of your geo-search queries on MySQL. Whether it's a large-scale search or a critical component of your web application, these optimizations will enhance the user experience and ensure efficient database operations.
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