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24 years ago
Here are some handy routines for rotation and translation of polygons.  Scaling could be added easily as well.



<?php

function translate_point(&$x,&$y,$angle,$about_x,$about_y,$shift_x,$shift_y)

{

    $x -= $about_x;

    $y -= $about_y;

    $angle = ($angle / 180) * M_PI;

/* math:

[x2,y2] = [x,  *  [[cos(a),-sin(a)],

           y]      [sin(a),cos(a)]]

==>

x = x * cos(a) + y*sin(a) 

y = x*-sin(a) + y*cos(a)

*/



    $new_x = $x * cos($angle) - $y * sin($angle);

    $new_y = $x * sin($angle) + $y * cos($angle);

    $x = $new_x+ $about_x + $shift_x ;

    $y = $new_y + $about_y + $shift_y;

}



function translate_poly($point_array, $angle, $about_x, $about_y,$shift_x,$shift_y)

{

    $translated_poly = Array();

    while(count($point_array) > 1)

    {

        $temp_x = array_shift($point_array);

        $temp_y = array_shift($point_array);

        translate_point($temp_x, $temp_y, $angle, $about_x, $about_y,$shift_x, $shift_y);

        array_push($translated_poly, $temp_x);

        array_push($translated_poly, $temp_y);

    }

    return $translated_poly;

}

?>
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