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<?php
/*=======================================================================
// File:        JPGRAPH_PIE.PHP
// Description: Pie plot extension for JpGraph
// Created:     2001-02-14
// Ver:         $Id: jpgraph_pie.php 781 2006-10-08 08:07:47Z ljp $
//
// Copyright (c) Aditus Consulting. All rights reserved.
//========================================================================
*/


// Defines for PiePlot::SetLabelType()
DEFINE("PIE_VALUE_ABS",1);
DEFINE("PIE_VALUE_PER",0);
DEFINE("PIE_VALUE_PERCENTAGE",0);
DEFINE("PIE_VALUE_ADJPERCENTAGE",2);
DEFINE("PIE_VALUE_ADJPER",2);

//===================================================
// CLASS PiePlot
// Description: Draws a pie plot
//===================================================
class PiePlot {
    public $posx=0.5,$posy=0.5;
    protected $radius=0.3;
    protected $explode_radius=array(),$explode_all=false,$explode_r=20;
    protected $labels=null, $legends=null;
    protected $csimtargets=null;  // Array of targets for CSIM
    protected $csimareas='';            // Generated CSIM text  
    protected $csimalts=null;           // ALT tags for corresponding target
    protected $data=null;
    public $title;
    protected $startangle=0;
    protected $weight=1, $color="black";
    protected $legend_margin=6,$show_labels=true;
    protected $themearr = array(
        "earth"         => array(136,34,40,45,46,62,63,134,74,10,120,136,141,168,180,77,209,218,346,395,89,430),
        "pastel" => array(27,415,128,59,66,79,105,110,42,147,152,230,236,240,331,337,405,38),
        "water"  => array(8,370,24,40,335,56,213,237,268,14,326,387,10,388),
        "sand"   => array(27,168,34,170,19,50,65,72,131,209,46,393));
    protected $theme="earth";
    protected $setslicecolors=array();
    protected $labeltype=0; // Default to percentage
    protected $pie_border=true,$pie_interior_border=true;
    public $value;
    protected $ishadowcolor='',$ishadowdrop=4;
    protected $ilabelposadj=1;
    protected $legendcsimtargets = array();
    protected $legendcsimalts = array();
    protected $adjusted_data = array();
    public $guideline = null;
    protected $guidelinemargin=10,$iShowGuideLineForSingle = false;
    protected $iGuideLineCurve = false,$iGuideVFactor=1.4,$iGuideLineRFactor=0.8;
        
//---------------
// CONSTRUCTOR
    function PiePlot($data) {
        $this->data = array_reverse($data);
        $this->title = new Text("");
        $this->title->SetFont(FF_FONT1,FS_BOLD);
        $this->value = new DisplayValue();
        $this->value->Show();
        $this->value->SetFormat('%.1f%%');
        $this->guideline = new LineProperty();
    }

//---------------
// PUBLIC METHODS       
    function SetCenter($x,$y=0.5) {
        $this->posx = $x;
        $this->posy = $y;
    }

    // Enable guideline and set drwaing policy
    function SetGuideLines($aFlg=true,$aCurved=true,$aAlways=false) {
        $this->guideline->Show($aFlg);
        $this->iShowGuideLineForSingle = $aAlways;
        $this->iGuideLineCurve = $aCurved;
    }

    // Adjuste the distance between labels and labels and pie
    function SetGuideLinesAdjust($aVFactor,$aRFactor=0.8) {
        $this->iGuideVFactor=$aVFactor;
        $this->iGuideLineRFactor=$aRFactor;
    }

    function SetColor($aColor) {
        $this->color = $aColor;
    }
        
    function SetSliceColors($aColors) {
        $this->setslicecolors = $aColors;
    }
        
    function SetShadow($aColor='darkgray',$aDropWidth=4) {
        $this->ishadowcolor = $aColor;
        $this->ishadowdrop = $aDropWidth;
    }

    function SetCSIMTargets($targets,$alts=null) {
        $this->csimtargets=array_reverse($targets);
        if( is_array($alts) )
            $this->csimalts=array_reverse($alts);
    }
        
    function GetCSIMareas() {
        return $this->csimareas;
    }

    function AddSliceToCSIM($i,$xc,$yc,$radius,$sa,$ea) {  
        //Slice number, ellipse centre (x,y), height, width, start angle, end angle
        while( $sa > 2*M_PI ) $sa = $sa - 2*M_PI;
        while( $ea > 2*M_PI ) $ea = $ea - 2*M_PI;

        $sa = 2*M_PI - $sa;
        $ea = 2*M_PI - $ea;

        // Special case when we have only one slice since then both start and end
        // angle will be == 0
        if( abs($sa - $ea) < 0.0001 ) {
            $sa=2*M_PI; $ea=0;
        }

        //add coordinates of the centre to the map
        $xc = floor($xc);$yc=floor($yc);
        $coords = "$xc, $yc";

        //add coordinates of the first point on the arc to the map
        $xp = floor(($radius*cos($ea))+$xc);
        $yp = floor($yc-$radius*sin($ea));
        $coords.= ", $xp, $yp";
        
        //add coordinates every 0.2 radians
        $a=$ea+0.2;

        // If we cross the 360-limit with a slice we need to handle
        // the fact that end angle is smaller than start
        if( $sa < $ea ) {
            while ($a <= 2*M_PI) {
                $xp = floor($radius*cos($a)+$xc);
                $yp = floor($yc-$radius*sin($a));
                $coords.= ", $xp, $yp";
                $a += 0.2;
            }
            $a -= 2*M_PI;
        }


        while ($a < $sa) {
            $xp = floor($radius*cos($a)+$xc);
            $yp = floor($yc-$radius*sin($a));
            $coords.= ", $xp, $yp";
            $a += 0.2;
        }
                
        //Add the last point on the arc
        $xp = floor($radius*cos($sa)+$xc);
        $yp = floor($yc-$radius*sin($sa));
        $coords.= ", $xp, $yp";
        if( !empty($this->csimtargets[$i]) ) {
            $this->csimareas .= "<area shape=\"poly\" coords=\"$coords\" href=\"".$this->csimtargets[$i]."\"";
            $tmp="";
            if( !empty($this->csimalts[$i]) ) {
                $tmp=sprintf($this->csimalts[$i],$this->data[$i]);
                $this->csimareas .= " title=\"$tmp\"";
            }
            $this->csimareas .= " alt=\"$tmp\" />\n";
        }
    }

        
    function SetTheme($aTheme) {
        if( in_array($aTheme,array_keys($this->themearr)) )
            $this->theme = $aTheme;
        else
            JpGraphError::RaiseL(15001,$aTheme);//("PiePLot::SetTheme() Unknown theme: $aTheme");
    }
        
    function ExplodeSlice($e,$radius=20) {
        if( ! is_integer($e) ) 
            JpGraphError::RaiseL(15002);//('Argument to PiePlot::ExplodeSlice() must be an integer');
        $this->explode_radius[$e]=$radius;
    }

    function ExplodeAll($radius=20) {
        $this->explode_all=true;
        $this->explode_r = $radius;
    }

    function Explode($aExplodeArr) {
        if( !is_array($aExplodeArr) ) {
            JpGraphError::RaiseL(15003);
//("Argument to PiePlot::Explode() must be an array with integer distances.");
        }
        $this->explode_radius = $aExplodeArr;
    }

    function SetStartAngle($aStart) {
        if( $aStart < 0 || $aStart > 360 ) {
            JpGraphError::RaiseL(15004);//('Slice start angle must be between 0 and 360 degrees.');
        }
        $this->startangle = 360-$aStart;
        $this->startangle *= M_PI/180;
    }
        
    function SetFont($family,$style=FS_NORMAL,$size=10) {
        JpGraphError::RaiseL(15005);//('PiePlot::SetFont() is deprecated. Use PiePlot->value->SetFont() instead.');
    }
        
    // Size in percentage
    function SetSize($aSize) {
        if( ($aSize>0 && $aSize<=0.5) || ($aSize>10 && $aSize<1000) )
            $this->radius = $aSize;
        else
            JpGraphError::RaiseL(15006);
//("PiePlot::SetSize() Radius for pie must either be specified as a fraction [0, 0.5] of the size of the image or as an absolute size in pixels  in the range [10, 1000]");
    }
        
    function SetFontColor($aColor) {
        JpGraphError::RaiseL(15007);
//('PiePlot::SetFontColor() is deprecated. Use PiePlot->value->SetColor() instead.');
    }
        
    // Set label arrays
    function SetLegends($aLegend) {
        $this->legends = $aLegend;
    }

    // Set text labels for slices 
    function SetLabels($aLabels,$aLblPosAdj="auto") {
        $this->labels = array_reverse($aLabels);
        $this->ilabelposadj=$aLblPosAdj;
    }

    function SetLabelPos($aLblPosAdj) {
        $this->ilabelposadj=$aLblPosAdj;
    }
        
    // Should we display actual value or percentage?
    function SetLabelType($t) {
        if( $t < 0 || $t > 2 ) 
            JpGraphError::RaiseL(15008,$t);
//("PiePlot::SetLabelType() Type for pie plots must be 0 or 1 (not $t).");
        $this->labeltype=$t;
    }

    // Deprecated. 
    function SetValueType($aType) {
        $this->SetLabelType($aType);
    }

    // Should the circle around a pie plot be displayed
    function ShowBorder($exterior=true,$interior=true) {
        $this->pie_border = $exterior;
        $this->pie_interior_border = $interior;
    }
        
    // Setup the legends
    function Legend($graph) {
        $colors = array_keys($graph->img->rgb->rgb_table);
        sort($colors);  
        $ta=$this->themearr[$this->theme];      
        $n = count($this->data);

        if( $this->setslicecolors==null ) {
            $numcolors=count($ta);
            if( class_exists('PiePlot3D',false) && ($this instanceof PiePlot3D) ) {
                $ta = array_reverse(array_slice($ta,0,$n));
            }
        }
        else {
            $this->setslicecolors = array_slice($this->setslicecolors,0,$n);
            $numcolors=count($this->setslicecolors); 
            if( $graph->pieaa && ($this instanceof PiePlot) ) { 
                $this->setslicecolors = array_reverse($this->setslicecolors);
            }
        }
                
        $sum=0;
        for($i=0; $i < $n; ++$i)
            $sum += $this->data[$i];

        // Bail out with error if the sum is 0
        if( $sum==0 )
            JpGraphError::RaiseL(15009);//("Illegal pie plot. Sum of all data is zero for Pie!");

        // Make sure we don't plot more values than data points
        // (in case the user added more legends than data points)
        $n = min(count($this->legends),count($this->data));
        if( $this->legends != "" ) {
            $this->legends = array_reverse(array_slice($this->legends,0,$n));
        }
        for( $i=$n-1; $i >= 0; --$i ) {
            $l = $this->legends[$i];
            // Replace possible format with actual values
            if( count($this->csimalts) > $i ) {
                $fmt = $this->csimalts[$i];
            }
            else {
                $fmt = "%d"; // Deafult Alt if no other has been specified
            }
            if( $this->labeltype==0 ) {
                $l = sprintf($l,100*$this->data[$i]/$sum);
                $alt = sprintf($fmt,$this->data[$i]);
                
            }
            elseif( $this->labeltype == 1)  {
                $l = sprintf($l,$this->data[$i]);
                $alt = sprintf($fmt,$this->data[$i]);
                
            }
            else {
                $l = sprintf($l,$this->adjusted_data[$i]);
                $alt = sprintf($fmt,$this->adjusted_data[$i]);
            }

            if( $this->setslicecolors==null ) {
                $graph->legend->Add($l,$colors[$ta[$i%$numcolors]],"",0,$this->csimtargets[$i],$alt);
            }
            else {
                $graph->legend->Add($l,$this->setslicecolors[$i%$numcolors],"",0,$this->csimtargets[$i],$alt);
            }
        }
    }
        
    // Adjust the rounded percetage value so that the sum of
    // of the pie slices are always 100%
    // Using the Hare/Niemeyer method
    function AdjPercentage($aData,$aPrec=0) {
        $mul=100;
        if( $aPrec > 0 && $aPrec < 3 ) {
            if( $aPrec == 1 ) 
                $mul=1000;
                else
                    $mul=10000;
        }
        
        $tmp = array();
        $result = array();
        $quote_sum=0;
        $n = count($aData) ;
        for( $i=0, $sum=0; $i < $n; ++$i )
            $sum+=$aData[$i];
        foreach($aData as $index => $value) {
            $tmp_percentage=$value/$sum*$mul;
            $result[$index]=floor($tmp_percentage);
            $tmp[$index]=$tmp_percentage-$result[$index];
            $quote_sum+=$result[$index];
        }
        if( $quote_sum == $mul) {
            if( $mul > 100 ) {
                $tmp = $mul / 100;
                for( $i=0; $i < $n; ++$i ) {
                    $result[$i] /= $tmp ;
                }
            }
            return $result;
        }
        arsort($tmp,SORT_NUMERIC);
        reset($tmp);
        for($i=0; $i < $mul-$quote_sum; $i++)
        {
            $result[key($tmp)]++;
            next($tmp);
        }
        if( $mul > 100 ) {
            $tmp = $mul / 100;
            for( $i=0; $i < $n; ++$i ) {
                $result[$i] /= $tmp ;
            }
        }
        return $result;
    }


    function Stroke($img,$aaoption=0) {
        // aaoption is used to handle antialias
        // aaoption == 0 a normal pie
        // aaoption == 1 just the body
        // aaoption == 2 just the values

        // Explode scaling. If anti anti alias we scale the image
        // twice and we also need to scale the exploding distance
        $expscale = $aaoption === 1 ? 2 : 1;

        if( $this->labeltype == 2 ) {
            // Adjust the data so that it will add up to 100%
            $this->adjusted_data = $this->AdjPercentage($this->data);
        }

        $colors = array_keys($img->rgb->rgb_table);
        sort($colors);  
        $ta=$this->themearr[$this->theme];      
        $n = count($this->data);
        
        if( $this->setslicecolors==null ) {
            $numcolors=count($ta);
        }
        else {
            // We need to create an array of colors as long as the data
            // since we need to reverse it to get the colors in the right order
            $numcolors=count($this->setslicecolors); 
            if( $n > $numcolors ) {
                $i = 2*$numcolors;
                while( $n > $i ) {
                    $this->setslicecolors = array_merge($this->setslicecolors,$this->setslicecolors);
                    $i += $n;
                }
                $tt = array_slice($this->setslicecolors,0,$n % $numcolors);
                $this->setslicecolors = array_merge($this->setslicecolors,$tt);
                $this->setslicecolors = array_reverse($this->setslicecolors);
            }
        }

        // Draw the slices
        $sum=0;
        for($i=0; $i < $n; ++$i)
            $sum += $this->data[$i];
        
        // Bail out with error if the sum is 0
        if( $sum==0 )
            JpGraphError::RaiseL(15009);//("Sum of all data is 0 for Pie.");
        
        // Set up the pie-circle
        if( $this->radius <= 1 )
            $radius = floor($this->radius*min($img->width,$img->height));
        else {
            $radius = $aaoption === 1 ? $this->radius*2 : $this->radius;
        }

        if( $this->posx <= 1 && $this->posx > 0 )
            $xc = round($this->posx*$img->width);
        else
            $xc = $this->posx ;
        
        if( $this->posy <= 1 && $this->posy > 0 )
            $yc = round($this->posy*$img->height);
        else
            $yc = $this->posy ;
                
        $n = count($this->data);

        if( $this->explode_all )
            for($i=0; $i < $n; ++$i)
                $this->explode_radius[$i]=$this->explode_r;

        if( $this->ishadowcolor != "" && $aaoption !== 2) {
            $accsum=0;
            $angle2 = $this->startangle;
            $img->SetColor($this->ishadowcolor);
            for($i=0; $sum > 0 && $i < $n; ++$i) {
                $j = $n-$i-1;
                $d = $this->data[$i];
                $angle1 = $angle2;
                $accsum += $d;
                $angle2 = $this->startangle+2*M_PI*$accsum/$sum;
                if( empty($this->explode_radius[$j]) )
                    $this->explode_radius[$j]=0;

                $la = 2*M_PI - (abs($angle2-$angle1)/2.0+$angle1);

                $xcm = $xc + $this->explode_radius[$j]*cos($la)*$expscale;
                $ycm = $yc - $this->explode_radius[$j]*sin($la)*$expscale;
                
                $xcm += $this->ishadowdrop*$expscale;
                $ycm += $this->ishadowdrop*$expscale;

                $img->CakeSlice($xcm,$ycm,$radius,$radius,
                                $angle1*180/M_PI,$angle2*180/M_PI,$this->ishadowcolor);
                
            }
        }

        $accsum=0;
        $angle2 = $this->startangle;
        $img->SetColor($this->color);
        for($i=0; $sum>0 && $i < $n; ++$i) {
            $j = $n-$i-1;
            if( empty($this->explode_radius[$j]) )
                $this->explode_radius[$j]=0;
            $d = $this->data[$i];
            $angle1 = $angle2;
            $accsum += $d;
            $angle2 = $this->startangle+2*M_PI*$accsum/$sum;
            $this->la[$i] = 2*M_PI - (abs($angle2-$angle1)/2.0+$angle1);

            if( $d == 0 ) continue;

            if( $this->setslicecolors==null )
                $slicecolor=$colors[$ta[$i%$numcolors]];
            else
                $slicecolor=$this->setslicecolors[$i%$numcolors];

            if( $this->pie_interior_border && $aaoption===0 )
                $img->SetColor($this->color);
            else
                $img->SetColor($slicecolor);

            $arccolor = $this->pie_border && $aaoption===0 ? $this->color : "";

            $xcm = $xc + $this->explode_radius[$j]*cos($this->la[$i])*$expscale;
            $ycm = $yc - $this->explode_radius[$j]*sin($this->la[$i])*$expscale;

            if( $aaoption !== 2 ) {
                $img->CakeSlice($xcm,$ycm,$radius-1,$radius-1,
                                $angle1*180/M_PI,$angle2*180/M_PI,$slicecolor,$arccolor);
            }

            if( $this->csimtargets && $aaoption !== 1 ) {
                $this->AddSliceToCSIM($i,$xcm,$ycm,$radius,$angle1,$angle2);
            }
        }

        // Format the titles for each slice
        if( $aaoption !== 2 ) {
            for( $i=0; $i < $n; ++$i) {
                if( $this->labeltype==0 ) {
                    if( $sum != 0 )
                        $l = 100.0*$this->data[$i]/$sum;
                    else
                        $l = 0.0;
                }
                elseif( $this->labeltype==1 ) {
                    $l = $this->data[$i]*1.0;
                }
                else {
                    $l = $this->adjusted_data[$i];
                }
                if( isset($this->labels[$i]) && is_string($this->labels[$i]) )
                    $this->labels[$i]=sprintf($this->labels[$i],$l);
                else
                    $this->labels[$i]=$l;
            }
        }

        if( $this->value->show && $aaoption !== 1 ) {
            $this->StrokeAllLabels($img,$xc,$yc,$radius);
        }

        // Adjust title position
        if( $aaoption !== 1 ) {
            $this->title->SetPos($xc,
                          $yc-$this->title->GetFontHeight($img)-$radius-$this->title->margin,
                          "center","bottom");
            $this->title->Stroke($img);
        }

    }

//---------------
// PRIVATE METHODS      

    function NormAngle($a) {
        while( $a < 0 ) $a += 2*M_PI;
        while( $a > 2*M_PI ) $a -= 2*M_PI;
        return $a;
    }

    function Quadrant($a) {
        $a=$this->NormAngle($a);
        if( $a > 0 && $a <= M_PI/2 )
            return 0;
        if( $a > M_PI/2 && $a <= M_PI )
            return 1;
        if( $a > M_PI && $a <= 1.5*M_PI )
            return 2;
        if( $a > 1.5*M_PI )
            return 3;
    }

    function StrokeGuideLabels($img,$xc,$yc,$radius) {
        $n = count($this->labels);

        //-----------------------------------------------------------------------
        // Step 1 of the algorithm is to construct a number of clusters
        // a cluster is defined as all slices within the same quadrant (almost)
        // that has an angualr distance less than the treshold
        //-----------------------------------------------------------------------
        $tresh_hold=25 * M_PI/180; // 25 degrees difference to be in a cluster
        $incluster=false;       // flag if we are currently in a cluster or not
        $clusters = array();    // array of clusters
        $cidx=-1;               // running cluster index

        // Go through all the labels and construct a number of clusters
        for($i=0; $i < $n-1; ++$i) {
            // Calc the angle distance between two consecutive slices
            $a1=$this->la[$i];
            $a2=$this->la[$i+1];
            $q1 = $this->Quadrant($a1);
            $q2 = $this->Quadrant($a2);
            $diff = abs($a1-$a2);
            if( $diff < $tresh_hold ) {
                if( $incluster ) {
                    $clusters[$cidx][1]++;
                    // Each cluster can only cover one quadrant
                    // Do we cross a quadrant ( and must break the cluster)
                    if( $q1 !=  $q2 ) {
                        // If we cross a quadrant boundary we normally start a 
                        // new cluster. However we need to take the 12'a clock
                        // and 6'a clock positions into a special consideration.
                        // Case 1: WE go from q=1 to q=2 if the last slice on
                        // the cluster for q=1 is close to 12'a clock and the 
                        // first slice in q=0 is small we extend the previous
                        // cluster
                        if( $q1 == 1 && $q2 == 0 && $a2 > (90-15)*M_PI/180 ) {
                            if( $i < $n-2 ) {
                                $a3 = $this->la[$i+2];
                                // If there isn't a cluster coming up with the next-next slice
                                // we extend the previous cluster to cover this slice as well
                                if( abs($a3-$a2) >= $tresh_hold ) {
                                    $clusters[$cidx][1]++;
                                    $i++;
                                }
                            }
                        }
                        elseif( $q1 == 3 && $q2 == 2 && $a2 > (270-15)*M_PI/180 ) {
                            if( $i < $n-2 ) {
                                $a3 = $this->la[$i+2];
                                // If there isn't a cluster coming up with the next-next slice
                                // we extend the previous cluster to cover this slice as well
                                if( abs($a3-$a2) >= $tresh_hold ) {
                                    $clusters[$cidx][1]++;
                                    $i++;
                                }
                            }
                        }

                        if( $q1==2 && $q2==1 && $a2 > (180-15)*M_PI/180 ) {
                            $clusters[$cidx][1]++;
                            $i++;                           
                        }
                        
                        $incluster = false;
                    }
                }
                elseif( $q1 == $q2)  {
                    $incluster = true;
                    // Now we have a special case for quadrant 0. If we previously
                    // have a cluster of one in quadrant 0 we just extend that
                    // cluster. If we don't do this then we risk that the label
                    // for the cluster of one will cross the guide-line
                    if( $q1 == 0 && $cidx > -1 && 
                        $clusters[$cidx][1] == 1 && 
                        $this->Quadrant($this->la[$clusters[$cidx][0]]) == 0 ) {
                        $clusters[$cidx][1]++;
                    }
                    else {
                        $cidx++;
                        $clusters[$cidx][0] = $i;
                        $clusters[$cidx][1] = 1;
                    }
                }
                else {  
                    // Create a "cluster" of one since we are just crossing
                    // a quadrant
                    $cidx++;
                    $clusters[$cidx][0] = $i;
                    $clusters[$cidx][1] = 1;        
                }
            }
            else {
                if( $incluster ) {
                    // Add the last slice
                    $clusters[$cidx][1]++;
                    $incluster = false;
                }
                else { // Create a "cluster" of one
                    $cidx++;
                    $clusters[$cidx][0] = $i;
                    $clusters[$cidx][1] = 1;        
                }
            }
        }
        // Handle the very last slice
        if( $incluster ) {
            $clusters[$cidx][1]++;
        }
        else { // Create a "cluster" of one
            $cidx++;
            $clusters[$cidx][0] = $i;
            $clusters[$cidx][1] = 1;        
        }

        /*
        if( true ) { 
            // Debug printout in labels
            for( $i=0; $i <= $cidx; ++$i ) {
                for( $j=0; $j < $clusters[$i][1]; ++$j ) {
                    $a = $this->la[$clusters[$i][0]+$j];
                    $aa = round($a*180/M_PI);
                    $q = $this->Quadrant($a);
                    $this->labels[$clusters[$i][0]+$j]="[$q:$aa] $i:$j";
                }
            }
        }
        */

        //-----------------------------------------------------------------------
        // Step 2 of the algorithm is use the clusters and draw the labels
        // and guidelines
        //-----------------------------------------------------------------------

        // We use the font height as the base factor for how far we need to
        // spread the labels in the Y-direction.
        $this->value->ApplyFont($img);
        $fh = $img->GetFontHeight();
        $origvstep=$fh*$this->iGuideVFactor;
        $this->value->SetMargin(0);

        // Number of clusters found
        $nc = count($clusters);

        // Walk through all the clusters
        for($i=0; $i < $nc; ++$i) {

            // Start angle and number of slices in this cluster
            $csize = $clusters[$i][1];
            $a = $this->la[$clusters[$i][0]];
            $q = $this->Quadrant($a);

            // Now set up the start and end conditions to make sure that
            // in each cluster we walk through the all the slices starting with the slice
            // closest to the equator. Since all slices are numbered clockwise from "3'a clock"
            // we have different conditions depending on in which quadrant the slice lies within.
            if( $q == 0 ) {
                $start = $csize-1; $idx = $start; $step = -1; $vstep = -$origvstep;
            }
            elseif( $q == 1 ) {
                $start = 0; $idx = $start; $step = 1; $vstep = -$origvstep;
            }
            elseif( $q == 2 ) {
                $start = $csize-1; $idx = $start; $step = -1; $vstep = $origvstep;
            }
            elseif( $q == 3 ) {
                $start = 0; $idx = $start; $step = 1; $vstep = $origvstep;
            }

            // Walk through all slices within this cluster
            for($j=0; $j < $csize; ++$j) {   
                // Now adjust the position of the labels in each cluster starting
                // with the slice that is closest to the equator of the pie
                $a = $this->la[$clusters[$i][0]+$idx];
                    
                // Guide line start in the center of the arc of the slice
                $r = $radius+$this->explode_radius[$n-1-($clusters[$i][0]+$idx)];
                $x = round($r*cos($a)+$xc);
                $y = round($yc-$r*sin($a));
                
                // The distance from the arc depends on chosen font and the "R-Factor"
                $r += $fh*$this->iGuideLineRFactor;

                // Should the labels be placed curved along the pie or in straight columns
                // outside the pie?
                if( $this->iGuideLineCurve )
                    $xt=round($r*cos($a)+$xc);

                // If this is the first slice in the cluster we need some first time
                // proessing
                if( $idx == $start ) {
                    if( ! $this->iGuideLineCurve )
                        $xt=round($r*cos($a)+$xc);
                    $yt=round($yc-$r*sin($a));

                    // Some special consideration in case this cluster starts
                    // in quadrant 1 or 3 very close to the "equator" (< 20 degrees) 
                    // and the previous clusters last slice is within the tolerance. 
                    // In that case we add a font height to this labels Y-position 
                    // so it doesn't collide with
                    // the slice in the previous cluster
                    $prevcluster = ($i + ($nc-1) ) % $nc;
                    $previdx=$clusters[$prevcluster][0]+$clusters[$prevcluster][1]-1;
                    if( $q == 1 && $a > 160*M_PI/180 ) {
                        // Get the angle for the previous clusters last slice
                        $diff = abs($a-$this->la[$previdx]);
                         if( $diff < $tresh_hold ) {
                             $yt -= $fh;
                         }
                    }
                    elseif( $q == 3 && $a > 340*M_PI/180 ) {
                        // We need to subtract 360 to compare angle distance between
                        // q=0 and q=3
                        $diff = abs($a-$this->la[$previdx]-360*M_PI/180);
                        if( $diff < $tresh_hold ) {
                             $yt += $fh;
                        }
                    }

                }
                else {
                    // The step is at minimum $vstep but if the slices are relatively large
                    // we make sure that we add at least a step that corresponds to the vertical
                    // distance between the centers at the arc on the slice
                    $prev_a = $this->la[$clusters[$i][0]+($idx-$step)];
                    $dy = abs($radius*(sin($a)-sin($prev_a))*1.2);
                    if( $vstep > 0 )
                        $yt += max($vstep,$dy);
                    else
                        $yt += min($vstep,-$dy);
                }

                $label = $this->labels[$clusters[$i][0]+$idx];

                if( $csize == 1 ) {
                    // A "meta" cluster with only one slice
                    $r = $radius+$this->explode_radius[$n-1-($clusters[$i][0]+$idx)];
                    $rr = $r+$img->GetFontHeight()/2;
                    $xt=round($rr*cos($a)+$xc);
                    $yt=round($yc-$rr*sin($a));
                    $this->StrokeLabel($label,$img,$xc,$yc,$a,$r); 
                    if( $this->iShowGuideLineForSingle ) 
                        $this->guideline->Stroke($img,$x,$y,$xt,$yt);
                }
                else {
                    $this->guideline->Stroke($img,$x,$y,$xt,$yt);
                    if( $q==1 || $q==2 ) {
                        // Left side of Pie
                        $this->guideline->Stroke($img,$xt,$yt,$xt-$this->guidelinemargin,$yt);
                        $lbladj = -$this->guidelinemargin-5;
                        $this->value->halign = "right";
                        $this->value->valign = "center";
                    }
                    else {
                        // Right side of pie
                        $this->guideline->Stroke($img,$xt,$yt,$xt+$this->guidelinemargin,$yt);
                        $lbladj = $this->guidelinemargin+5;
                        $this->value->halign = "left";
                        $this->value->valign = "center";
                    }
                    $this->value->Stroke($img,$label,$xt+$lbladj,$yt);
                }

                // Udate idx to point to next slice in the cluster to process
                $idx += $step;
            }
        }
    }

    function StrokeAllLabels($img,$xc,$yc,$radius) {
        // First normalize all angles for labels
        $n = count($this->la);
        for($i=0; $i < $n; ++$i) {
            $this->la[$i] = $this->NormAngle($this->la[$i]);
        }
        if( $this->guideline->iShow ) {
            $this->StrokeGuideLabels($img,$xc,$yc,$radius);
        }
        else {
            $n = count($this->labels);
            for($i=0; $i < $n; ++$i) {
                $this->StrokeLabel($this->labels[$i],$img,$xc,$yc,
                                   $this->la[$i],
                                   $radius + $this->explode_radius[$n-1-$i]); 
            }
        }
    }

    // Position the labels of each slice
    function StrokeLabel($label,$img,$xc,$yc,$a,$r) {

        // Default value
        if( $this->ilabelposadj === 'auto' )
            $this->ilabelposadj = 0.65;

        // We position the values diferently depending on if they are inside
        // or outside the pie
        if( $this->ilabelposadj < 1.0 ) {

            $this->value->SetAlign('center','center');
            $this->value->margin = 0;
            
            $xt=round($this->ilabelposadj*$r*cos($a)+$xc);
            $yt=round($yc-$this->ilabelposadj*$r*sin($a));
            
            $this->value->Stroke($img,$label,$xt,$yt);
        }
        else {

            $this->value->halign = "left";
            $this->value->valign = "top";
            $this->value->margin = 0;
                    
            // Position the axis title. 
            // dx, dy is the offset from the top left corner of the bounding box that sorrounds the text
            // that intersects with the extension of the corresponding axis. The code looks a little
            // bit messy but this is really the only way of having a reasonable position of the
            // axis titles.
            $this->value->ApplyFont($img);
            $h=$img->GetTextHeight($label);
            // For numeric values the format of the display value
            // must be taken into account
            if( is_numeric($label) ) {
                if( $label > 0 )
                    $w=$img->GetTextWidth(sprintf($this->value->format,$label));
                else
                    $w=$img->GetTextWidth(sprintf($this->value->negformat,$label));
            }
            else
                $w=$img->GetTextWidth($label);

            if( $this->ilabelposadj > 1.0 && $this->ilabelposadj < 5.0) {
                $r *= $this->ilabelposadj;
            }
            
            $r += $img->GetFontHeight()/1.5;

            $xt=round($r*cos($a)+$xc);
            $yt=round($yc-$r*sin($a));

            // Normalize angle
            while( $a < 0 ) $a += 2*M_PI;
            while( $a > 2*M_PI ) $a -= 2*M_PI;

            if( $a>=7*M_PI/4 || $a <= M_PI/4 ) $dx=0;
            if( $a>=M_PI/4 && $a <= 3*M_PI/4 ) $dx=($a-M_PI/4)*2/M_PI; 
            if( $a>=3*M_PI/4 && $a <= 5*M_PI/4 ) $dx=1;
            if( $a>=5*M_PI/4 && $a <= 7*M_PI/4 ) $dx=(1-($a-M_PI*5/4)*2/M_PI);
            
            if( $a>=7*M_PI/4 ) $dy=(($a-M_PI)-3*M_PI/4)*2/M_PI;
            if( $a<=M_PI/4 ) $dy=(1-$a*2/M_PI);
            if( $a>=M_PI/4 && $a <= 3*M_PI/4 ) $dy=1;
            if( $a>=3*M_PI/4 && $a <= 5*M_PI/4 ) $dy=(1-($a-3*M_PI/4)*2/M_PI);
            if( $a>=5*M_PI/4 && $a <= 7*M_PI/4 ) $dy=0;
            
            $this->value->Stroke($img,$label,$xt-$dx*$w,$yt-$dy*$h);
        }
    }   
} // Class


//===================================================
// CLASS PiePlotC
// Description: Same as a normal pie plot but with a 
// filled circle in the center
//===================================================
class PiePlotC extends PiePlot {
    private $imidsize=0.5;              // Fraction of total width
    private $imidcolor='white';
    public $midtitle='';
    private $middlecsimtarget="",$middlecsimalt="";

    function PiePlotC($data,$aCenterTitle='') {
        parent::PiePlot($data);
        $this->midtitle = new Text();
        $this->midtitle->ParagraphAlign('center');
    }

    function SetMid($aTitle,$aColor='white',$aSize=0.5) {
        $this->midtitle->Set($aTitle);

        $this->imidsize = $aSize ; 
        $this->imidcolor = $aColor ; 
    }

    function SetMidTitle($aTitle) {
        $this->midtitle->Set($aTitle);
    }

    function SetMidSize($aSize) {
        $this->imidsize = $aSize ; 
    }

    function SetMidColor($aColor) {
        $this->imidcolor = $aColor ; 
    }

    function SetMidCSIM($aTarget,$aAlt) {
        $this->middlecsimtarget = $aTarget;
        $this->middlecsimalt = $aAlt;
    }

    function AddSliceToCSIM($i,$xc,$yc,$radius,$sa,$ea) {  
        //Slice number, ellipse centre (x,y), radius, start angle, end angle
        while( $sa > 2*M_PI ) $sa = $sa - 2*M_PI;
        while( $ea > 2*M_PI ) $ea = $ea - 2*M_PI;

        $sa = 2*M_PI - $sa;
        $ea = 2*M_PI - $ea;

        // Special case when we have only one slice since then both start and end
        // angle will be == 0
        if( abs($sa - $ea) < 0.0001 ) {
            $sa=2*M_PI; $ea=0;
        }

        // Add inner circle first point
        $xp = floor(($this->imidsize*$radius*cos($ea))+$xc);
        $yp = floor($yc-($this->imidsize*$radius*sin($ea)));
        $coords = "$xp, $yp";
        
        //add coordinates every 0.25 radians
        $a=$ea+0.25;

        // If we cross the 360-limit with a slice we need to handle
        // the fact that end angle is smaller than start
        if( $sa < $ea ) {
            while ($a <= 2*M_PI) {
                $xp = floor($radius*cos($a)+$xc);
                $yp = floor($yc-$radius*sin($a));
                $coords.= ", $xp, $yp";
                $a += 0.25;
            }
            $a -= 2*M_PI;
        }

        while ($a < $sa) {
            $xp = floor(($this->imidsize*$radius*cos($a)+$xc));
            $yp = floor($yc-($this->imidsize*$radius*sin($a)));
            $coords.= ", $xp, $yp";
            $a += 0.25;
        }

        // Make sure we end at the last point
        $xp = floor(($this->imidsize*$radius*cos($sa)+$xc));
        $yp = floor($yc-($this->imidsize*$radius*sin($sa)));
        $coords.= ", $xp, $yp";

        // Straight line to outer circle
        $xp = floor($radius*cos($sa)+$xc);
        $yp = floor($yc-$radius*sin($sa));
        $coords.= ", $xp, $yp"; 

        //add coordinates every 0.25 radians
        $a=$sa - 0.25;
        while ($a > $ea) {
            $xp = floor($radius*cos($a)+$xc);
            $yp = floor($yc-$radius*sin($a));
            $coords.= ", $xp, $yp";
            $a -= 0.25;
        }
                
        //Add the last point on the arc
        $xp = floor($radius*cos($ea)+$xc);
        $yp = floor($yc-$radius*sin($ea));
        $coords.= ", $xp, $yp";

        // Close the arc
        $xp = floor(($this->imidsize*$radius*cos($ea))+$xc);
        $yp = floor($yc-($this->imidsize*$radius*sin($ea)));
        $coords .= ", $xp, $yp";

        if( !empty($this->csimtargets[$i]) ) {
            $this->csimareas .= "<area shape=\"poly\" coords=\"$coords\" href=\"".
                $this->csimtargets[$i]."\"";
            if( !empty($this->csimalts[$i]) ) {
                $tmp=sprintf($this->csimalts[$i],$this->data[$i]);
                $this->csimareas .= " title=\"$tmp\"";
            }
            $this->csimareas .= " alt=\"$tmp\" />\n";
        }
    }


    function Stroke($img,$aaoption=0) {

        // Stroke the pie but don't stroke values
        $tmp =  $this->value->show;
        $this->value->show = false;
        parent::Stroke($img,$aaoption);
        $this->value->show = $tmp;

        $xc = round($this->posx*$img->width);
        $yc = round($this->posy*$img->height);

        $radius = floor($this->radius * min($img->width,$img->height)) ;


        if( $this->imidsize > 0 && $aaoption !== 2 ) {

            if( $this->ishadowcolor != "" ) {
                $img->SetColor($this->ishadowcolor);
                $img->FilledCircle($xc+$this->ishadowdrop,$yc+$this->ishadowdrop,
                                   round($radius*$this->imidsize));
            }

            $img->SetColor($this->imidcolor);
            $img->FilledCircle($xc,$yc,round($radius*$this->imidsize));

            if(  $this->pie_border && $aaoption === 0 ) {
                $img->SetColor($this->color);
                $img->Circle($xc,$yc,round($radius*$this->imidsize));
            }

            if( !empty($this->middlecsimtarget) )
                $this->AddMiddleCSIM($xc,$yc,round($radius*$this->imidsize));

        }

        if( $this->value->show && $aaoption !== 1) {
            $this->StrokeAllLabels($img,$xc,$yc,$radius);
            $this->midtitle->SetPos($xc,$yc,'center','center');
            $this->midtitle->Stroke($img);
        }

    }

    function AddMiddleCSIM($xc,$yc,$r) {
        $xc=round($xc);$yc=round($yc);$r=round($r);
        $this->csimareas .= "<area shape=\"circle\" coords=\"$xc,$yc,$r\" href=\"".
            $this->middlecsimtarget."\"";
        if( !empty($this->middlecsimalt) ) {
            $tmp = $this->middlecsimalt;
            $this->csimareas .= " title=\"$tmp\"";
        }
        $this->csimareas .= " alt=\"$tmp\" />\n";
    }

    function StrokeLabel($label,$img,$xc,$yc,$a,$r) {

        if( $this->ilabelposadj === 'auto' )
            $this->ilabelposadj = (1-$this->imidsize)/2+$this->imidsize;

        parent::StrokeLabel($label,$img,$xc,$yc,$a,$r);

    }

}


//===================================================
// CLASS PieGraph
// Description: 
//===================================================
class PieGraph extends Graph {
    private $posx, $posy, $radius;              
    private $legends=array();   
    public $plots=array();
    public $pieaa = false ;
//---------------
// CONSTRUCTOR
    function PieGraph($width=300,$height=200,$cachedName="",$timeout=0,$inline=1) {
        $this->Graph($width,$height,$cachedName,$timeout,$inline);
        $this->posx=$width/2;
        $this->posy=$height/2;
        $this->SetColor(array(255,255,255));            
    }

//---------------
// PUBLIC METHODS       
    function Add($aObj) {

        if( is_array($aObj) && count($aObj) > 0 )
            $cl = $aObj[0];
        else
            $cl = $aObj;

        if( $cl instanceof Text ) 
            $this->AddText($aObj);
        elseif( class_exists('IconPlot',false) && ($cl instanceof IconPlot) ) 
            $this->AddIcon($aObj);
        else {
            if( is_array($aObj) ) {
                $n = count($aObj);
                for($i=0; $i < $n; ++$i ) {
                    $this->plots[] = $aObj[$i];
                }
            }
            else {
                $this->plots[] = $aObj;
            }
        }
    }

    function SetAntiAliasing($aFlg=true) {
        $this->pieaa = $aFlg;
    }
        
    function SetColor($c) {
        $this->SetMarginColor($c);
    }


    function DisplayCSIMAreas() {
            $csim="";
            foreach($this->plots as $p ) {
                $csim .= $p->GetCSIMareas();
            }
            //$csim.= $this->legend->GetCSIMareas();
            if (preg_match_all("/area shape=\"(\w+)\" coords=\"([0-9\, ]+)\"/", $csim, $coords)) {
                $this->img->SetColor($this->csimcolor);
                $n = count($coords[0]);
                for ($i=0; $i < $n; $i++) {
                    if ($coords[1][$i]=="poly") {
                        preg_match_all('/\s*([0-9]+)\s*,\s*([0-9]+)\s*,*/',$coords[2][$i],$pts);
                        $this->img->SetStartPoint($pts[1][count($pts[0])-1],$pts[2][count($pts[0])-1]);
                        $m = count($pts[0]);
                        for ($j=0; $j < $m; $j++) {
                            $this->img->LineTo($pts[1][$j],$pts[2][$j]);
                        }
                    } else if ($coords[1][$i]=="rect") {
                        $pts = preg_split('/,/', $coords[2][$i]);
                        $this->img->SetStartPoint($pts[0],$pts[1]);
                        $this->img->LineTo($pts[2],$pts[1]);
                        $this->img->LineTo($pts[2],$pts[3]);
                        $this->img->LineTo($pts[0],$pts[3]);
                        $this->img->LineTo($pts[0],$pts[1]);
                                                
                    }
                }
            }
    }

    // Method description
    function Stroke($aStrokeFileName="") {
        // If the filename is the predefined value = '_csim_special_'
        // we assume that the call to stroke only needs to do enough
        // to correctly generate the CSIM maps.
        // We use this variable to skip things we don't strictly need
        // to do to generate the image map to improve performance
        // a best we can. Therefor you will see a lot of tests !$_csim in the
        // code below.
        $_csim = ($aStrokeFileName===_CSIM_SPECIALFILE);

        // We need to know if we have stroked the plot in the
        // GetCSIMareas. Otherwise the CSIM hasn't been generated
        // and in the case of GetCSIM called before stroke to generate
        // CSIM without storing an image to disk GetCSIM must call Stroke.
        $this->iHasStroked = true;

        $n = count($this->plots);

        if( $this->pieaa ) {

            if( !$_csim ) {
                if( $this->background_image != "" ) {
                    $this->StrokeFrameBackground();             
                }
                else {
                    $this->StrokeFrame();               
                    $this->StrokeBackgroundGrad();
                }
            }


            $w = $this->img->width;
            $h = $this->img->height;
            $oldimg = $this->img->img;

            $this->img->CreateImgCanvas(2*$w,2*$h);
            
            $this->img->SetColor( $this->margin_color );
            $this->img->FilledRectangle(0,0,2*$w-1,2*$h-1);

            // Make all icons *2 i size since we will be scaling down the
            // imahe to do the anti aliasing
            $ni = count($this->iIcons);
            for($i=0; $i < $ni; ++$i) {
                $this->iIcons[$i]->iScale *= 2 ;
                if( $this->iIcons[$i]->iX > 1 ) 
                    $this->iIcons[$i]->iX *= 2 ;
                if( $this->iIcons[$i]->iY > 1 ) 
                    $this->iIcons[$i]->iY *= 2 ;
            }

            $this->StrokeIcons();

            for($i=0; $i < $n; ++$i) {
                if( $this->plots[$i]->posx > 1 ) 
                    $this->plots[$i]->posx *= 2 ;
                if( $this->plots[$i]->posy > 1 ) 
                    $this->plots[$i]->posy *= 2 ;

                $this->plots[$i]->Stroke($this->img,1);

                if( $this->plots[$i]->posx > 1 ) 
                    $this->plots[$i]->posx /= 2 ;
                if( $this->plots[$i]->posy > 1 ) 
                    $this->plots[$i]->posy /= 2 ;
            }

            $indent = $this->doframe ? ($this->frame_weight + ($this->doshadow ? $this->shadow_width : 0 )) : 0 ;
            $indent += $this->framebevel ? $this->framebeveldepth + 1 : 0 ;
            $this->img->CopyCanvasH($oldimg,$this->img->img,$indent,$indent,$indent,$indent,
                                    $w-2*$indent,$h-2*$indent,2*($w-$indent),2*($h-$indent));

            $this->img->img = $oldimg ;
            $this->img->width = $w ;
            $this->img->height = $h ;

            for($i=0; $i < $n; ++$i) {
                $this->plots[$i]->Stroke($this->img,2); // Stroke labels
                $this->plots[$i]->Legend($this);
            }

        }
        else {

            if( !$_csim ) {
                if( $this->background_image != "" ) {
                    $this->StrokeFrameBackground();             
                }
                else {
                    $this->StrokeFrame();               
                }
            }

            $this->StrokeIcons();

            for($i=0; $i < $n; ++$i) {
                $this->plots[$i]->Stroke($this->img);
                $this->plots[$i]->Legend($this);
            }
        }

        $this->legend->Stroke($this->img);
        $this->footer->Stroke($this->img);
        $this->StrokeTitles();

        if( !$_csim ) { 

            // Stroke texts
            if( $this->texts != null ) {
                $n = count($this->texts);
                for($i=0; $i < $n; ++$i ) {
                    $this->texts[$i]->Stroke($this->img);
                }
            }

            if( _JPG_DEBUG ) {
                $this->DisplayCSIMAreas();
            }

            // Should we do any final image transformation
            if( $this->iImgTrans ) {
                if( !class_exists('ImgTrans',false) ) {
                    require_once('jpgraph_imgtrans.php');
                    //JpGraphError::Raise('In order to use image transformation you must include the file jpgraph_imgtrans.php in your script.');
                }
               
                $tform = new ImgTrans($this->img->img);
                $this->img->img = $tform->Skew3D($this->iImgTransHorizon,$this->iImgTransSkewDist,
                                                 $this->iImgTransDirection,$this->iImgTransHighQ,
                                                 $this->iImgTransMinSize,$this->iImgTransFillColor,
                                                 $this->iImgTransBorder);
            }


            // If the filename is given as the special "__handle"
            // then the image handler is returned and the image is NOT
            // streamed back
            if( $aStrokeFileName == _IMG_HANDLER ) {
                return $this->img->img;
            }
            else {
                // Finally stream the generated picture                                 
                $this->cache->PutAndStream($this->img,$this->cache_name,$this->inline,
                                           $aStrokeFileName);           
            }
        }
    }
} // Class

/* EOF */
?>