Changeset 267 for trunk/client/modules/Elezioni/grafici/jpgraph_regstat.php
- Timestamp:
- Apr 14, 2019, 2:31:40 PM (5 years ago)
- File:
-
- 1 edited
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trunk/client/modules/Elezioni/grafici/jpgraph_regstat.php
r265 r267 1 <?php 1 <?php 2 2 /*======================================================================= 3 // File:JPGRAPH_REGSTAT.PHP4 5 // Created:2002-12-016 // Ver: $Id: jpgraph_regstat.php 1131 2009-03-11 20:08:24Z ljp $7 8 // Copyright (c) Asial Corporation. All rights reserved.9 10 3 // File: JPGRAPH_REGSTAT.PHP 4 // Description: Regression and statistical analysis helper classes 5 // Created: 2002-12-01 6 // Ver: $Id: jpgraph_regstat.php 781 2006-10-08 08:07:47Z ljp $ 7 // 8 // Copyright (c) Aditus Consulting. All rights reserved. 9 //======================================================================== 10 */ 11 11 12 12 //------------------------------------------------------------------------ … … 19 19 20 20 private $xdata,$ydata; // Data vectors 21 private $y2; // 2:nd derivate of ydata21 private $y2; // 2:nd derivate of ydata 22 22 private $n=0; 23 23 24 function __construct($xdata,$ydata) {25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 $delta[$i] = ($ydata[$i+1]-$ydata[$i])/($xdata[$i+1]-$xdata[$i]) - 52 53 54 55 56 57 58 59 24 function Spline($xdata,$ydata) { 25 $this->y2 = array(); 26 $this->xdata = $xdata; 27 $this->ydata = $ydata; 28 29 $n = count($ydata); 30 $this->n = $n; 31 if( $this->n !== count($xdata) ) { 32 JpGraphError::RaiseL(19001); 33 //('Spline: Number of X and Y coordinates must be the same'); 34 } 35 36 // Natural spline 2:derivate == 0 at endpoints 37 $this->y2[0] = 0.0; 38 $this->y2[$n-1] = 0.0; 39 $delta[0] = 0.0; 40 41 // Calculate 2:nd derivate 42 for($i=1; $i < $n-1; ++$i) { 43 $d = ($xdata[$i+1]-$xdata[$i-1]); 44 if( $d == 0 ) { 45 JpGraphError::RaiseL(19002); 46 //('Invalid input data for spline. Two or more consecutive input X-values are equal. Each input X-value must differ since from a mathematical point of view it must be a one-to-one mapping, i.e. each X-value must correspond to exactly one Y-value.'); 47 } 48 $s = ($xdata[$i]-$xdata[$i-1])/$d; 49 $p = $s*$this->y2[$i-1]+2.0; 50 $this->y2[$i] = ($s-1.0)/$p; 51 $delta[$i] = ($ydata[$i+1]-$ydata[$i])/($xdata[$i+1]-$xdata[$i]) - 52 ($ydata[$i]-$ydata[$i-1])/($xdata[$i]-$xdata[$i-1]); 53 $delta[$i] = (6.0*$delta[$i]/($xdata[$i+1]-$xdata[$i-1])-$s*$delta[$i-1])/$p; 54 } 55 56 // Backward substitution 57 for( $j=$n-2; $j >= 0; --$j ) { 58 $this->y2[$j] = $this->y2[$j]*$this->y2[$j+1] + $delta[$j]; 59 } 60 60 } 61 61 62 62 // Return the two new data vectors 63 63 function Get($num=50) { 64 65 66 67 68 69 70 71 72 73 74 64 $n = $this->n ; 65 $step = ($this->xdata[$n-1]-$this->xdata[0]) / ($num-1); 66 $xnew=array(); 67 $ynew=array(); 68 $xnew[0] = $this->xdata[0]; 69 $ynew[0] = $this->ydata[0]; 70 for( $j=1; $j < $num; ++$j ) { 71 $xnew[$j] = $xnew[0]+$j*$step; 72 $ynew[$j] = $this->Interpolate($xnew[$j]); 73 } 74 return array($xnew,$ynew); 75 75 } 76 76 … … 78 78 function Interpolate($xpoint) { 79 79 80 81 82 83 84 85 86 if( $this->xdata[$k] > $xpoint ) 87 88 else 89 90 } 91 92 93 94 95 96 97 98 99 100 101 102 103 104 80 $max = $this->n-1; 81 $min = 0; 82 83 // Binary search to find interval 84 while( $max-$min > 1 ) { 85 $k = ($max+$min) / 2; 86 if( $this->xdata[$k] > $xpoint ) 87 $max=$k; 88 else 89 $min=$k; 90 } 91 92 // Each interval is interpolated by a 3:degree polynom function 93 $h = $this->xdata[$max]-$this->xdata[$min]; 94 95 if( $h == 0 ) { 96 JpGraphError::RaiseL(19002); 97 //('Invalid input data for spline. Two or more consecutive input X-values are equal. Each input X-value must differ since from a mathematical point of view it must be a one-to-one mapping, i.e. each X-value must correspond to exactly one Y-value.'); 98 } 99 100 101 $a = ($this->xdata[$max]-$xpoint)/$h; 102 $b = ($xpoint-$this->xdata[$min])/$h; 103 return $a*$this->ydata[$min]+$b*$this->ydata[$max]+ 104 (($a*$a*$a-$a)*$this->y2[$min]+($b*$b*$b-$b)*$this->y2[$max])*($h*$h)/6.0; 105 105 } 106 106 } … … 111 111 //------------------------------------------------------------------------ 112 112 class Bezier { 113 114 115 116 117 118 * http://local.wasp.uwa.edu.au/~pbourke/geometry/bezier/index2.html119 113 /** 114 * @author Thomas Despoix, openXtrem company 115 * @license released under QPL 116 * @abstract Bezier interoplated point generation, 117 * computed from control points data sets, based on Paul Bourke algorithm : 118 * http://astronomy.swin.edu.au/~pbourke/curves/bezier/ 119 */ 120 120 private $datax = array(); 121 121 private $datay = array(); 122 122 private $n=0; 123 124 function __construct($datax, $datay, $attraction_factor = 1) { 125 // Adding control point multiple time will raise their attraction power over the curve 126 $this->n = count($datax); 127 if( $this->n !== count($datay) ) { 128 JpGraphError::RaiseL(19003); 129 //('Bezier: Number of X and Y coordinates must be the same'); 130 } 131 $idx=0; 132 foreach($datax as $datumx) { 133 for ($i = 0; $i < $attraction_factor; $i++) { 134 $this->datax[$idx++] = $datumx; 135 } 136 } 137 $idx=0; 138 foreach($datay as $datumy) { 139 for ($i = 0; $i < $attraction_factor; $i++) { 140 $this->datay[$idx++] = $datumy; 141 } 142 } 143 $this->n *= $attraction_factor; 144 } 145 146 /** 147 * Return a set of data points that specifies the bezier curve with $steps points 148 * @param $steps Number of new points to return 149 * @return array($datax, $datay) 150 */ 123 124 function Bezier($datax, $datay, $attraction_factor = 1) { 125 // Adding control point multiple time will raise their attraction power over the curve 126 $this->n = count($datax); 127 if( $this->n !== count($datay) ) { 128 JpGraphError::RaiseL(19003); 129 //('Bezier: Number of X and Y coordinates must be the same'); 130 } 131 $idx=0; 132 foreach($datax as $datumx) { 133 for ($i = 0; $i < $attraction_factor; $i++) { 134 $this->datax[$idx++] = $datumx; 135 } 136 } 137 $idx=0; 138 foreach($datay as $datumy) { 139 for ($i = 0; $i < $attraction_factor; $i++) { 140 $this->datay[$idx++] = $datumy; 141 } 142 } 143 $this->n *= $attraction_factor; 144 } 145 151 146 function Get($steps) { 152 $datax = array(); 153 $datay = array(); 154 for ($i = 0; $i < $steps; $i++) { 155 list($datumx, $datumy) = $this->GetPoint((double) $i / (double) $steps); 156 $datax[$i] = $datumx; 157 $datay[$i] = $datumy; 158 } 159 160 $datax[] = end($this->datax); 161 $datay[] = end($this->datay); 162 163 return array($datax, $datay); 164 } 165 166 /** 167 * Return one point on the bezier curve. $mu is the position on the curve where $mu is in the 168 * range 0 $mu < 1 where 0 is tha start point and 1 is the end point. Note that every newly computed 169 * point depends on all the existing points 170 * 171 * @param $mu Position on the bezier curve 172 * @return array($x, $y) 173 */ 147 $datax = array(); 148 $datay = array(); 149 for ($i = 0; $i < $steps; $i++) { 150 list($datumx, $datumy) = $this->GetPoint((double) $i / (double) $steps); 151 $datax[] = $datumx; 152 $datay[] = $datumy; 153 } 154 155 $datax[] = end($this->datax); 156 $datay[] = end($this->datay); 157 158 return array($datax, $datay); 159 } 160 174 161 function GetPoint($mu) { 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 162 $n = $this->n - 1; 163 $k = 0; 164 $kn = 0; 165 $nn = 0; 166 $nkn = 0; 167 $blend = 0.0; 168 $newx = 0.0; 169 $newy = 0.0; 170 171 $muk = 1.0; 172 $munk = (double) pow(1-$mu,(double) $n); 173 174 for ($k = 0; $k <= $n; $k++) { 175 $nn = $n; 176 $kn = $k; 177 $nkn = $n - $k; 178 $blend = $muk * $munk; 179 $muk *= $mu; 180 $munk /= (1-$mu); 181 while ($nn >= 1) { 182 $blend *= $nn; 183 $nn--; 184 if ($kn > 1) { 185 $blend /= (double) $kn; 186 $kn--; 187 } 188 if ($nkn > 1) { 189 $blend /= (double) $nkn; 190 $nkn--; 191 } 192 } 193 $newx += $this->datax[$k] * $blend; 194 $newy += $this->datay[$k] * $blend; 195 } 196 197 return array($newx, $newy); 211 198 } 212 199 }
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