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July 27, 2019 17:16
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Calculate the mean / average of a set of angles in radians / degrees
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| <?php | |
| /* | |
| From: https://en.wikipedia.org/wiki/Mean_of_circular_quantities | |
| Parameters: | |
| $angles: array | |
| $degrees: boolean. Angles and result in degrees (default) | |
| */ | |
| function mean_of_angles( $angles, $degrees = true ) { | |
| if ( $degrees ) { | |
| $angles = array_map("deg2rad", $angles); // Convert to radians | |
| } | |
| $s_ = 0; | |
| $c_ = 0; | |
| $len = count( $angles ); | |
| for ($i = 0; $i < $len; $i++) { | |
| $s_ += sin( $angles[$i] ); | |
| $c_ += cos( $angles[$i] ); | |
| } | |
| // $s_ /= $len; | |
| // $c_ /= $len; | |
| $mean = atan2( $s_, $c_ ); | |
| if ( $degrees ) { | |
| $mean = rad2deg( $mean ); // Convert to degrees | |
| } | |
| return $mean; | |
| } | |
| /* Usage */ | |
| $angles = [ 355, 5, 15 ]; | |
| echo mean_of_angles( $angles ); // Returns 5 | |
| ?> |
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