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-<?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;
- }
-
-}
-
-?> \ No newline at end of file
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