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Diffstat (limited to 'config/dspam/pear/Image/Graph/Tool.php')
| -rw-r--r-- | config/dspam/pear/Image/Graph/Tool.php | 291 |
1 files changed, 291 insertions, 0 deletions
diff --git a/config/dspam/pear/Image/Graph/Tool.php b/config/dspam/pear/Image/Graph/Tool.php new file mode 100644 index 00000000..cf245685 --- /dev/null +++ b/config/dspam/pear/Image/Graph/Tool.php @@ -0,0 +1,291 @@ +<?php + +/* vim: set expandtab tabstop=4 shiftwidth=4 softtabstop=4: */ + +/** + * Image_Graph - Main class for the graph creation. + * + * PHP versions 4 and 5 + * + * LICENSE: This library is free software; you can redistribute it and/or modify + * it under the terms of the GNU Lesser General Public License as published by + * the Free Software Foundation; either version 2.1 of the License, or (at your + * option) any later version. This library is distributed in the hope that it + * will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty + * of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser + * General Public License for more details. You should have received a copy of + * the GNU Lesser General Public License along with this library; if not, write + * to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA + * 02111-1307 USA + * + * @category Images + * @package Image_Graph + * @author Jesper Veggerby <pear.nosey@veggerby.dk> + * @copyright Copyright (C) 2003, 2004 Jesper Veggerby Hansen + * @license http://www.gnu.org/copyleft/lesser.html LGPL License 2.1 + * @version CVS: $Id$ + * @link http://pear.php.net/package/Image_Graph + */ + +/** + * This class contains a set of tool-functions. + * + * These functions are all to be called statically + * + * @category Images + * @package Image_Graph + * @author Jesper Veggerby <pear.nosey@veggerby.dk> + * @copyright Copyright (C) 2003, 2004 Jesper Veggerby Hansen + * @license http://www.gnu.org/copyleft/lesser.html LGPL License 2.1 + * @version Release: @package_version@ + * @link http://pear.php.net/package/Image_Graph + */ +class Image_Graph_Tool +{ + + /** + * Return the average of 2 points + * + * @param double P1 1st point + * @param double P2 2nd point + * @return double The average of P1 and P2 + * @static + */ + function mid($p1, $p2) + { + return ($p1 + $p2) / 2; + } + + /** + * Mirrors P1 in P2 by a amount of Factor + * + * @param double $p1 1st point, point to mirror + * @param double $o2 2nd point, mirror point + * @param double $factor Mirror factor, 0 returns $p2, 1 returns a pure + * mirror, ie $p1 on the exact other side of $p2 + * @return double $p1 mirrored in $p2 by Factor + * @static + */ + function mirror($p1, $p2, $factor = 1) + { + return $p2 + $factor * ($p2 - $p1); + } + + /** + * Calculates a Bezier control point, this function must be called for BOTH + * X and Y coordinates (will it work for 3D coordinates!?) + * + * @param double $p1 1st point + * @param double $p2 Point to + * @param double $factor Mirror factor, 0 returns P2, 1 returns a pure + * mirror, i.e. P1 on the exact other side of P2 + * @return double P1 mirrored in P2 by Factor + * @static + */ + function controlPoint($p1, $p2, $factor, $smoothFactor = 0.75) + { + $sa = Image_Graph_Tool::mirror($p1, $p2, $smoothFactor); + $sb = Image_Graph_Tool::mid($p2, $sa); + + $m = Image_Graph_Tool::mid($p2, $factor); + + $pC = Image_Graph_Tool::mid($sb, $m); + + return $pC; + } + + /** + * Calculates a Bezier point, this function must be called for BOTH X and Y + * coordinates (will it work for 3D coordinates!?) + * + * @param double $t A position between $p2 and $p3, value between 0 and 1 + * @param double $p1 Point to use for calculating control points + * @param double $p2 Point 1 to calculate bezier curve between + * @param double $p3 Point 2 to calculate bezier curve between + * @param double $p4 Point to use for calculating control points + * @return double The bezier value of the point t between $p2 and $p3 using + * $p1 and $p4 to calculate control points + * @static + */ + function bezier($t, $p1, $p2, $p3, $p4) + { + // (1-t)^3*p1 + 3*(1-t)^2*t*p2 + 3*(1-t)*t^2*p3 + t^3*p4 + return pow(1 - $t, 3) * $p1 + + 3 * pow(1 - $t, 2) * $t * $p2 + + 3 * (1 - $t) * pow($t, 2) * $p3 + + pow($t, 3) * $p4; + } + + /** + * For a given point (x,y) return a point rotated by a given angle aroung the center (xy,yc) + * + * @param int $x x coordinate of the point to rotate + * @param int $y y coordinate of the point to rotate + * @param int $xc x coordinate of the center of the rotation + * @param int $yc y coordinate of the center of the rotation + * @param int $angle angle of the rotation + * @return array the coordinate of the new point + * @static + */ + function rotate($x, $y, $xc, $yc, $angle) + { + $cos = cos(deg2rad($angle)); + $sin = sin(deg2rad($angle)); + $xr= $x - $xc; + $yr= $y - $yc; + $x1= $xc + $cos * $xr - $sin * $yr; + $y1= $yc + $sin * $xr + $cos * $yr; + return array((int) $x1,(int) $y1); + } + + /** + * If a number is close 0 zero (i.e. 0 within $decimal decimals) it is rounded down to zero + * + * @param double $value The value to round + * @param int $decimal The number of decimals + * @return double The value or zero if "close enough" to zero + * @static + */ + function close2zero($value, $decimal) + { + if (abs($value) < pow(10, -$decimal)) { + return 0; + } + else { + return $value; + } + } + + /** + * Calculate the dimensions and center point (of gravity) for an arc + * + * @param int $v1 The angle at which the arc starts + * @param int $v2 The angle at which the arc ends + * @return array An array with the dimensions in a fraction of a circle width radius 1 'rx', 'ry' and the + * center point of gravity ('cx', 'cy') + * @static + */ + function calculateArcDimensionAndCenter($v1, $v2) + { + // $v2 always larger than $v1 + $r1x = Image_Graph_Tool::close2zero(cos(deg2rad($v1)), 3); + $r2x = Image_Graph_Tool::close2zero(cos(deg2rad($v2)), 3); + + $r1y = Image_Graph_Tool::close2zero(sin(deg2rad($v1)), 3); + $r2y = Image_Graph_Tool::close2zero(sin(deg2rad($v2)), 3); + + // $rx = how many percent of the x-diameter of the entire ellipse does the arc x-diameter occupy: 1 entire width, 0 no width + // $cx = at what percentage of the diameter does the center lie + + // if the arc passes through 0/360 degrees the "highest" of r1x and r2x is replaced by 1! + if ((($v1 <= 0) && ($v2 >= 0)) || (($v1 <= 360) && ($v2 >= 360))) { + $r1x = min($r1x, $r2x); + $r2x = 1; + } + + // if the arc passes through 180 degrees the "lowest" of r1x and r2x is replaced by -1! + if ((($v1 <= 180) && ($v2 >= 180)) || (($v1 <= 540) && ($v2 >= 540))) { + $r1x = max($r1x, $r2x); + $r2x = -1; + } + + if ($r1x >= 0) { // start between [270; 360] or [0; 90] + if ($r2x >= 0) { + $rx = max($r1x, $r2x) / 2; + $cx = 0; // center lies 0 percent along this "vector" + } + else { + $rx = abs($r1x - $r2x) / 2; + $cx = abs($r2x / 2) / $rx; + } + } + else { // start between ]90; 270[ + if ($r2x < 0) { + $rx = max(abs($r1x), abs($r2x)) / 2; + $cx = $rx; + } + else { + $rx = abs($r1x - $r2x) / 2; + $cx = abs($r1x / 2) / $rx; + } + } + + // $ry = how many percent of the y-diameter of the entire ellipse does the arc y-diameter occupy: 1 entire, 0 none + // $cy = at what percentage of the y-diameter does the center lie + + // if the arc passes through 90 degrees the "lowest" of r1x and r2x is replaced by -1! + if ((($v1 <= 90) && ($v2 >= 90)) || (($v1 <= 450) && ($v2 >= 450))) { + $r1y = min($r1y, $r2y); + $r2y = 1; + } + + // if the arc passes through 270 degrees the "highest" of r1y and r2y is replaced by -1! + if ((($v1 <= 270) && ($v2 >= 270)) || (($v1 <= 630) && ($v2 >= 630))) { + $r1y = max($r1y, $r2y); + $r2y = -1; + } + + if ($r1y >= 0) { // start between [0; 180] + if ($r2y >= 0) { + $ry = max($r1y, $r2y) / 2; + $cy = 0; // center lies 0 percent along this "vector" + } + else { + $ry = abs($r1y - $r2y) / 2; + $cy = abs($r2y / 2) / $ry; + } + } + else { // start between ]180; 360[ + if ($r2y < 0) { + $ry = max(abs($r1y), abs($r2y)) / 2; + $cy = $ry; + } + else { + $ry = abs($r1y - $r2y) / 2; + $cy = abs($r1y / 2) / $ry; + } + } + + return array( + 'rx' => $rx, + 'cx' => $cx, + 'ry' => $ry, + 'cy' => $cy + ); + } + + /** + * Calculate linear regression on a dataset + * @param array $data The data to calculate regression upon + * @return array The slope and intersection of the "best-fit" line + * @static + */ + function calculateLinearRegression(&$data) + { + $sumX = 0; + $sumY = 0; + foreach ($data as $point) { + $sumX += $point['X']; + $sumY += $point['Y']; + } + $meanX = $sumX / count($data); + $meanY = $sumY / count($data); + + $sumXX = 0; + $sumYY = 0; + $sumXY = 0; + foreach ($data as $point) { + $sumXX += ($point['X'] - $meanX) * ($point['X'] - $meanX); + $sumYY += ($point['Y'] - $meanY) * ($point['Y'] - $meanY); + $sumXY += ($point['X'] - $meanX) * ($point['Y'] - $meanY); + } + + $result = array(); + $result['slope'] = ($sumXY / $sumXX); + $result['intersection'] = $meanY - ($result['slope'] * $meanX); + return $result; + } + +} + +?>
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