<?php
 /*
     pSpring - class to draw spring graphs

     Version     : 2.1.4
     Made by     : Jean-Damien POGOLOTTI
     Last Update : 19/01/2014

     This file can be distributed under the license you can find at :

                       http://www.pchart.net/license

     You can find the whole class documentation on the pChart web site.
 */

 define("NODE_TYPE_FREE", 690001);
 define("NODE_TYPE_CENTRAL", 690002);

 define("NODE_SHAPE_CIRCLE", 690011);
 define("NODE_SHAPE_TRIANGLE", 690012);
 define("NODE_SHAPE_SQUARE", 690013);

 define("ALGORITHM_RANDOM", 690021);
 define("ALGORITHM_WEIGHTED", 690022);
 define("ALGORITHM_CIRCULAR", 690023);
 define("ALGORITHM_CENTRAL", 690024);

 define("LABEL_CLASSIC", 690031);
 define("LABEL_LIGHT", 690032);

 /* pSpring class definition */
 #[\AllowDynamicProperties]
 class pSpring
 {
     public $History;
     public $pChartObject;
     public $Data;
     public $Links;
     public $X1;
     public $Y1;
     public $X2;
     public $Y2;
     public $AutoComputeFreeZone;
     public $Labels;

     /* Class creator */
     public function __construct()
     {
     /* Initialise data arrays */
     $this->Data = "";
     $this->Links = "";

         /* Set nodes defaults */
         $this->Default["R"]		= 255;
         $this->Default["G"]		= 255;
         $this->Default["B"]		= 255;
         $this->Default["Alpha"]		= 100;
         $this->Default["BorderR"]		= 0;
         $this->Default["BorderG"]		= 0;
         $this->Default["BorderB"]		= 0;
         $this->Default["BorderAlpha"]	= 100;
         $this->Default["Surrounding"]	= null;
         $this->Default["BackgroundR"]	= 255;
         $this->Default["BackgroundG"]	= 255;
         $this->Default["BackgroundB"]	= 255;
         $this->Default["BackgroundAlpha"]	= 0;
         $this->Default["Force"]		= 1;
         $this->Default["NodeType"]		= NODE_TYPE_FREE;
         $this->Default["Size"]		= 5;
         $this->Default["Shape"]		= NODE_SHAPE_CIRCLE;
         $this->Default["FreeZone"]		= 40;
         $this->Default["LinkR"]		= 0;
         $this->Default["LinkG"]		= 0;
         $this->Default["LinkB"]		= 0;
         $this->Default["LinkAlpha"]	= 0;

         $this->Labels["Type"]		= LABEL_CLASSIC;
         $this->Labels["R"]			= 0;
         $this->Labels["G"]			= 0;
         $this->Labels["B"]			= 0;
         $this->Labels["Alpha"]		= 100;

         $this->AutoComputeFreeZone         = false;
     }

     /* Set default links options */
     public function setLinkDefaults($Settings="")
     {
         if (isset($Settings["R"])) {
             $this->Default["LinkR"] = $Settings["R"];
         }
         if (isset($Settings["G"])) {
             $this->Default["LinkG"] = $Settings["G"];
         }
         if (isset($Settings["B"])) {
             $this->Default["LinkB"] = $Settings["B"];
         }
         if (isset($Settings["Alpha"])) {
             $this->Default["LinkAlpha"] = $Settings["Alpha"];
         }
     }

     /* Set default links options */
     public function setLabelsSettings($Settings="")
     {
         if (isset($Settings["Type"])) {
             $this->Labels["Type"] = $Settings["Type"];
         }
         if (isset($Settings["R"])) {
             $this->Labels["R"] = $Settings["R"];
         }
         if (isset($Settings["G"])) {
             $this->Labels["G"] = $Settings["G"];
         }
         if (isset($Settings["B"])) {
             $this->Labels["B"] = $Settings["B"];
         }
         if (isset($Settings["Alpha"])) {
             $this->Labels["Alpha"] = $Settings["Alpha"];
         }
     }

     /* Auto compute the FreeZone size based on the number of connections */
     public function autoFreeZone()
     {
         /* Check connections reciprocity */
         foreach ($this->Data as $Key => $Settings) {
             if (isset($Settings["Connections"])) {
                 $this->Data[$Key]["FreeZone"] = (is_countable($Settings["Connections"]) ? count($Settings["Connections"]) : 0)*10 + 20;
             } else {
                 $this->Data[$Key]["FreeZone"] = 20;
             }
         }
     }

     /* Set link properties */
     public function linkProperties($FromNode, $ToNode, $Settings)
     {
         if (!isset($this->Data[$FromNode])) {
             return(0);
         }
         if (!isset($this->Data[$ToNode])) {
             return(0);
         }

         $R			= isset($Settings["R"]) ? $Settings["R"] : 0;
         $G			= isset($Settings["G"]) ? $Settings["G"] : 0;
         $B			= isset($Settings["B"]) ? $Settings["B"] : 0;
         $Alpha		= isset($Settings["Alpha"]) ? $Settings["Alpha"] : 100;
         $Name		= isset($Settings["Name"]) ? $Settings["Name"] : null;
         $Ticks		= isset($Settings["Ticks"]) ? $Settings["Ticks"] : null;

         $this->Links[$FromNode][$ToNode]["R"] = $R;
         $this->Links[$ToNode][$FromNode]["R"] = $R;
         $this->Links[$FromNode][$ToNode]["G"] = $G;
         $this->Links[$ToNode][$FromNode]["G"] = $G;
         $this->Links[$FromNode][$ToNode]["B"] = $B;
         $this->Links[$ToNode][$FromNode]["B"] = $B;
         $this->Links[$FromNode][$ToNode]["Alpha"] = $Alpha;
         $this->Links[$ToNode][$FromNode]["Alpha"] = $Alpha;
         $this->Links[$FromNode][$ToNode]["Name"] = $Name;
         $this->Links[$ToNode][$FromNode]["Name"] = $Name;
         $this->Links[$FromNode][$ToNode]["Ticks"] = $Ticks;
         $this->Links[$ToNode][$FromNode]["Ticks"] = $Ticks;
     }

     public function setNodeDefaults($Settings="")
     {
         if (isset($Settings["R"])) {
             $this->Default["R"]					= $Settings["R"];
         }
         if (isset($Settings["G"])) {
             $this->Default["G"]					= $Settings["G"];
         }
         if (isset($Settings["B"])) {
             $this->Default["B"]					= $Settings["B"];
         }
         if (isset($Settings["Alpha"])) {
             $this->Default["Alpha"]				= $Settings["Alpha"];
         }
         if (isset($Settings["BorderR"])) {
             $this->Default["BorderR"]			= $Settings["BorderR"];
         }
         if (isset($Settings["BorderG"])) {
             $this->Default["BorderG"]			= $Settings["BorderG"];
         }
         if (isset($Settings["BorderB"])) {
             $this->Default["BorderB"]			= $Settings["BorderB"];
         }
         if (isset($Settings["BorderAlpha"])) {
             $this->Default["BorderAlpha"]		= $Settings["BorderAlpha"];
         }
         if (isset($Settings["Surrounding"])) {
             $this->Default["Surrounding"]		= $Settings["Surrounding"];
         }
         if (isset($Settings["BackgroundR"])) {
             $this->Default["BackgroundR"]		= $Settings["BackgroundR"];
         }
         if (isset($Settings["BackgroundG"])) {
             $this->Default["BackgroundG"]		= $Settings["BackgroundG"];
         }
         if (isset($Settings["BackgroundB"])) {
             $this->Default["BackgroundB"]		= $Settings["BackgroundB"];
         }
         if (isset($Settings["BackgroundAlpha"])) {
             $this->Default["BackgroundAlpha"]	= $Settings["BackgroundAlpha"];
         }
         if (isset($Settings["NodeType"])) {
             $this->Default["NodeType"]			= $Settings["NodeType"];
         }
         if (isset($Settings["Size"])) {
             $this->Default["Size"]				= $Settings["Size"];
         }
         if (isset($Settings["Shape"])) {
             $this->Default["Shape"]				= $Settings["Shape"];
         }
         if (isset($Settings["FreeZone"])) {
             $this->Default["FreeZone"]			= $Settings["FreeZone"];
         }
     }

     /* Add a node */
     public function addNode($NodeID, $Settings="")
     {
         /* if the node already exists, ignore */
         if (isset($this->Data[$NodeID])) {
             return(0);
         }

         $Name		= isset($Settings["Name"]) ? $Settings["Name"] : "Node ".$NodeID;
         $Connections	= isset($Settings["Connections"]) ? $Settings["Connections"] : null;

         $R			= isset($Settings["R"]) ? $Settings["R"] : $this->Default["R"];
         $G			= isset($Settings["G"]) ? $Settings["G"] : $this->Default["G"];
         $B			= isset($Settings["B"]) ? $Settings["B"] : $this->Default["B"];
         $Alpha		= isset($Settings["Alpha"]) ? $Settings["Alpha"] : $this->Default["Alpha"];
         $BorderR		= isset($Settings["BorderR"]) ? $Settings["BorderR"] : $this->Default["BorderR"];
         $BorderG		= isset($Settings["BorderG"]) ? $Settings["BorderG"] : $this->Default["BorderG"];
         $BorderB		= isset($Settings["BorderB"]) ? $Settings["BorderB"] : $this->Default["BorderB"];
         $BorderAlpha	= isset($Settings["BorderAlpha"]) ? $Settings["BorderAlpha"] : $this->Default["BorderAlpha"];
         $Surrounding	= isset($Settings["Surrounding"]) ? $Settings["Surrounding"] : $this->Default["Surrounding"];
         $BackgroundR	= isset($Settings["BackgroundR"]) ? $Settings["BackgroundR"] : $this->Default["BackgroundR"];
         $BackgroundG	= isset($Settings["BackgroundG"]) ? $Settings["BackgroundG"] : $this->Default["BackgroundG"];
         $BackgroundB	= isset($Settings["BackgroundB"]) ? $Settings["BackgroundB"] : $this->Default["BackgroundB"];
         $BackgroundAlpha	= isset($Settings["BackgroundAlpha"]) ? $Settings["BackgroundAlpha"] : $this->Default["BackgroundAlpha"];
         $Force		= isset($Settings["Force"]) ? $Settings["Force"] :  $this->Default["Force"];
         $NodeType		= isset($Settings["NodeType"]) ? $Settings["NodeType"] : $this->Default["NodeType"];
         $Size		= isset($Settings["Size"]) ? $Settings["Size"] : $this->Default["Size"];
         $Shape		= isset($Settings["Shape"]) ? $Settings["Shape"] : $this->Default["Shape"];
         $FreeZone		= isset($Settings["FreeZone"]) ? $Settings["FreeZone"] : $this->Default["FreeZone"];

         if ($Surrounding != null) {
             $BorderR = $R + $Surrounding;
             $BorderG = $G + $Surrounding;
             $BorderB = $B + $Surrounding;
         }

         $this->Data[$NodeID]["R"] = $R;
         $this->Data[$NodeID]["G"] = $G;
         $this->Data[$NodeID]["B"] = $B;
         $this->Data[$NodeID]["Alpha"] = $Alpha;
         $this->Data[$NodeID]["BorderR"] = $BorderR;
         $this->Data[$NodeID]["BorderG"] = $BorderG;
         $this->Data[$NodeID]["BorderB"] = $BorderB;
         $this->Data[$NodeID]["BorderAlpha"] = $BorderAlpha;
         $this->Data[$NodeID]["BackgroundR"]	= $BackgroundR;
         $this->Data[$NodeID]["BackgroundG"] = $BackgroundG;
         $this->Data[$NodeID]["BackgroundB"] = $BackgroundB;
         $this->Data[$NodeID]["BackgroundAlpha"] = $BackgroundAlpha;
         $this->Data[$NodeID]["Name"]		= $Name;
         $this->Data[$NodeID]["Force"]		= $Force;
         $this->Data[$NodeID]["Type"]		= $NodeType;
         $this->Data[$NodeID]["Size"]		= $Size;
         $this->Data[$NodeID]["Shape"]		= $Shape;
         $this->Data[$NodeID]["FreeZone"]		= $FreeZone;
         if ($Connections != null) {
             if (is_array($Connections)) {
                 foreach ($Connections as $Key => $Value) {
                     $this->Data[$NodeID]["Connections"][] = $Value;
                 }
             } else {
                 $this->Data[$NodeID]["Connections"][] = $Connections;
             }
         }
     }

     /* Set color attribute for a list of nodes */
     public function setNodesColor($Nodes, $Settings="")
     {
         $NodeID = [];
         if (is_array($Nodes)) {
             foreach ($Nodes as $Key => $NodeID) {
                 if (isset($this->Data[$NodeID])) {
                     if (isset($Settings["R"])) {
                         $this->Data[$NodeID]["R"] = $Settings["R"];
                     }
                     if (isset($Settings["G"])) {
                         $this->Data[$NodeID]["G"] = $Settings["G"];
                     }
                     if (isset($Settings["B"])) {
                         $this->Data[$NodeID]["B"] = $Settings["B"];
                     }
                     if (isset($Settings["Alpha"])) {
                         $this->Data[$NodeID]["Alpha"] = $Settings["Alpha"];
                     }
                     if (isset($Settings["BorderR"])) {
                         $this->Data[$NodeID]["BorderR"] = $Settings["BorderR"];
                     }
                     if (isset($Settings["BorderG"])) {
                         $this->Data[$NodeID]["BorderG"] = $Settings["BorderG"];
                     }
                     if (isset($Settings["BorderB"])) {
                         $this->Data[$NodeID]["BorderB"] = $Settings["BorderB"];
                     }
                     if (isset($Settings["BorderAlpha"])) {
                         $this->Data[$NodeID]["BorderAlpha"] = $Settings["BorderAlpha"];
                     }
                     if (isset($Settings["Surrounding"])) {
                         $this->Data[$NodeID]["BorderR"] = $this->Data[$NodeID]["R"] + $Settings["Surrounding"];
                         $this->Data[$NodeID]["BorderG"] = $this->Data[$NodeID]["G"] + $Settings["Surrounding"];
                         $this->Data[$NodeID]["BorderB"] = $this->Data[$NodeID]["B"] + $Settings["Surrounding"];
                     }
                 }
             }
         } else {
             if (isset($Settings["R"])) {
                 $this->Data[$Nodes]["R"] = $Settings["R"];
             }
             if (isset($Settings["G"])) {
                 $this->Data[$Nodes]["G"] = $Settings["G"];
             }
             if (isset($Settings["B"])) {
                 $this->Data[$Nodes]["B"] = $Settings["B"];
             }
             if (isset($Settings["Alpha"])) {
                 $this->Data[$Nodes]["Alpha"] = $Settings["Alpha"];
             }
             if (isset($Settings["BorderR"])) {
                 $this->Data[$Nodes]["BorderR"] = $Settings["BorderR"];
             }
             if (isset($Settings["BorderG"])) {
                 $this->Data[$Nodes]["BorderG"] = $Settings["BorderG"];
             }
             if (isset($Settings["BorderB"])) {
                 $this->Data[$Nodes]["BorderB"] = $Settings["BorderB"];
             }
             if (isset($Settings["BorderAlpha"])) {
                 $this->Data[$Nodes]["BorderAlpha"] = $Settings["BorderAlpha"];
             }
             if (isset($Settings["Surrounding"])) {
                 $this->Data[$Nodes]["BorderR"] = $this->Data[$NodeID]["R"] + $Settings["Surrounding"];
                 $this->Data[$NodeID]["BorderG"] = $this->Data[$NodeID]["G"] + $Settings["Surrounding"];
                 $this->Data[$NodeID]["BorderB"] = $this->Data[$NodeID]["B"] + $Settings["Surrounding"];
             }
         }
     }

     /* Returns all the nodes details */
     public function dumpNodes()
     {
         return($this->Data);
     }

     /* Check if a connection exists and create it if required */
     public function checkConnection($SourceID, $TargetID)
     {
         if (isset($this->Data[$SourceID]["Connections"])) {
             foreach ($this->Data[$SourceID]["Connections"] as $Key => $ConnectionID) {
                 if ($TargetID == $ConnectionID) {
                     return(true);
                 }
             }
         }
         $this->Data[$SourceID]["Connections"][] = $TargetID;
     }
     /* Get the median linked nodes position */
     public function getMedianOffset($Key, $X, $Y)
     {
         $Cpt = 1;
         if (isset($this->Data[$Key]["Connections"])) {
             foreach ($this->Data[$Key]["Connections"] as $ID => $NodeID) {
                 if (isset($this->Data[$NodeID]["X"]) && isset($this->Data[$NodeID]["Y"])) {
                     $X = $X + $this->Data[$NodeID]["X"];
                     $Y = $Y + $this->Data[$NodeID]["Y"];
                     $Cpt++;
                 }
             }
         }
         return(array("X"=>$X/$Cpt,"Y"=>$Y/$Cpt));
     }

     /* Return the ID of the attached partner with the biggest weight */
     public function getBiggestPartner($Key)
     {
         if (!isset($this->Data[$Key]["Connections"])) {
             return("");
         }

         $MaxWeight = 0;
         $Result = "";
         foreach ($this->Data[$Key]["Connections"] as $Key => $PeerID) {
             if ($this->Data[$PeerID]["Weight"] > $MaxWeight) {
                 $MaxWeight = $this->Data[$PeerID]["Weight"];
                 $Result = $PeerID;
             }
         }
         return($Result);
     }

     /* Do the initial node positions computing pass */
     public function firstPass($Algorithm)
     {
         $CenterX = ($this->X2 - $this->X1) / 2 + $this->X1;
         $CenterY = ($this->Y2 - $this->Y1) / 2 + $this->Y1;

         /* Check connections reciprocity */
         foreach ($this->Data as $Key => $Settings) {
             if (isset($Settings["Connections"])) {
                 foreach ($Settings["Connections"] as $ID => $ConnectionID) {
                     $this->checkConnection($ConnectionID, $Key);
                 }
             }
         }

         if ($this->AutoComputeFreeZone) {
             $this->autoFreeZone();
         }

         /* Get the max number of connections */
         $MaxConnections = 0;
         foreach ($this->Data as $Key => $Settings) {
             if (isset($Settings["Connections"])) {
                 $connectionCount = is_countable($Settings["Connections"]) ? count($Settings["Connections"]) : 0;
                 if ($MaxConnections < $connectionCount) {
                     $MaxConnections = $connectionCount;
                 }
             }
         }

         if ($Algorithm == ALGORITHM_WEIGHTED) {
             foreach ($this->Data as $Key => $Settings) {
                 if ($Settings["Type"] == NODE_TYPE_CENTRAL) {
                     $this->Data[$Key]["X"] = $CenterX;
                     $this->Data[$Key]["Y"] = $CenterY;
                 }
                 if ($Settings["Type"] == NODE_TYPE_FREE) {
                     if (isset($Settings["Connections"])) {
                         $Connections = is_countable($Settings["Connections"]) ? count($Settings["Connections"]) : 0;
                     } else {
                         $Connections = 0;
                     }

                     $Ring  = $MaxConnections - $Connections;
                     $Angle = mt_rand(0, 360);

                     $this->Data[$Key]["X"] = cos(deg2rad($Angle)) * ($Ring*$this->RingSize) + $CenterX;
                     $this->Data[$Key]["Y"] = sin(deg2rad($Angle)) * ($Ring*$this->RingSize) + $CenterY;
                 }
             }
         } elseif ($Algorithm == ALGORITHM_CENTRAL) {
             /* Put a weight on each nodes */
             foreach ($this->Data as $Key => $Settings) {
                 if (isset($Settings["Connections"])) {
                     $this->Data[$Key]["Weight"] = is_countable($Settings["Connections"]) ? count($Settings["Connections"]) : 0;
                 } else {
                     $this->Data[$Key]["Weight"] = 0;
                 }
             }

             $MaxConnections = $MaxConnections + 1;
             for ($i=$MaxConnections;$i>=0;$i--) {
                 foreach ($this->Data as $Key => $Settings) {
                     if ($Settings["Type"] == NODE_TYPE_CENTRAL) {
                         $this->Data[$Key]["X"] = $CenterX;
                         $this->Data[$Key]["Y"] = $CenterY;
                     }
                     if ($Settings["Type"] == NODE_TYPE_FREE) {
                         if (isset($Settings["Connections"])) {
                             $Connections = is_countable($Settings["Connections"]) ? count($Settings["Connections"]) : 0;
                         } else {
                             $Connections = 0;
                         }

                         if ($Connections === $i) {
                             $BiggestPartner = $this->getBiggestPartner($Key);
                             if ($BiggestPartner != "") {
                                 $Ring          = $this->Data[$BiggestPartner]["FreeZone"];
                                 $Weight        = $this->Data[$BiggestPartner]["Weight"];
                                 $AngleDivision = 360 / $this->Data[$BiggestPartner]["Weight"];
                                 $Done          = false;
                                 $Tries = 0;
                                 while (!$Done && $Tries <= $Weight*2) {
                                     $Tries++;
                                     $Angle = floor(mt_rand(0, $Weight)*$AngleDivision);
                                     if (!isset($this->Data[$BiggestPartner]["Angular"][$Angle]) || !isset($this->Data[$BiggestPartner]["Angular"])) {
                                         $this->Data[$BiggestPartner]["Angular"][$Angle] = $Angle;
                                         $Done = true;
                                     }
                                 }
                                 if (!$Done) {
                                     $Angle = mt_rand(0, 360);
                                     $this->Data[$BiggestPartner]["Angular"][$Angle] = $Angle;
                                 }

                                 $X = cos(deg2rad($Angle)) * ($Ring) + $this->Data[$BiggestPartner]["X"];
                                 $Y = sin(deg2rad($Angle)) * ($Ring) + $this->Data[$BiggestPartner]["Y"];

                                 $this->Data[$Key]["X"] = $X;
                                 $this->Data[$Key]["Y"] = $Y;
                             }
                         }
                     }
                 }
             }
         } elseif ($Algorithm == ALGORITHM_CIRCULAR) {
             $MaxConnections = $MaxConnections + 1;
             for ($i=$MaxConnections;$i>=0;$i--) {
                 foreach ($this->Data as $Key => $Settings) {
                     if ($Settings["Type"] == NODE_TYPE_CENTRAL) {
                         $this->Data[$Key]["X"] = $CenterX;
                         $this->Data[$Key]["Y"] = $CenterY;
                     }
                     if ($Settings["Type"] == NODE_TYPE_FREE) {
                         if (isset($Settings["Connections"])) {
                             $Connections = is_countable($Settings["Connections"]) ? count($Settings["Connections"]) : 0;
                         } else {
                             $Connections = 0;
                         }

                         if ($Connections === $i) {
                             $Ring  = $MaxConnections - $Connections;
                             $Angle = mt_rand(0, 360);

                             $X = cos(deg2rad($Angle)) * ($Ring*$this->RingSize) + $CenterX;
                             $Y = sin(deg2rad($Angle)) * ($Ring*$this->RingSize) + $CenterY;

                             $MedianOffset = $this->getMedianOffset($Key, $X, $Y);

                             $this->Data[$Key]["X"] = $MedianOffset["X"];
                             $this->Data[$Key]["Y"] = $MedianOffset["Y"];
                         }
                     }
                 }
             }
         } elseif ($Algorithm == ALGORITHM_RANDOM) {
             foreach ($this->Data as $Key => $Settings) {
                 if ($Settings["Type"] == NODE_TYPE_FREE) {
                     $this->Data[$Key]["X"] = $CenterX + mt_rand(-20, 20);
                     $this->Data[$Key]["Y"] = $CenterY + mt_rand(-20, 20);
                 }
                 if ($Settings["Type"] == NODE_TYPE_CENTRAL) {
                     $this->Data[$Key]["X"] = $CenterX;
                     $this->Data[$Key]["Y"] = $CenterY;
                 }
             }
         }
     }

     /* Compute one pass */
     public function doPass()
     {
         /* Compute vectors */
         foreach ($this->Data as $Key => $Settings) {
             if ($Settings["Type"] != NODE_TYPE_CENTRAL) {
                 unset($this->Data[$Key]["Vectors"]);

                 $X1 = $Settings["X"];
                 $Y1 = $Settings["Y"];

                 /* Repulsion vectors */
                 foreach ($this->Data as $Key2 => $Settings2) {
                     if ($Key != $Key2) {
                         $X2 = $this->Data[$Key2]["X"];
                         $Y2 = $this->Data[$Key2]["Y"];
                         $FreeZone = $this->Data[$Key2]["FreeZone"];

                         $Distance = $this->getDistance($X1, $Y1, $X2, $Y2);
                         $Angle    = $this->getAngle($X1, $Y1, $X2, $Y2) + 180;

                         /* Nodes too close, repulsion occurs */
                         if ($Distance < $FreeZone) {
                             $Force = log(pow(2, $FreeZone-$Distance));
                             if ($Force > 1) {
                                 $this->Data[$Key]["Vectors"][] = array("Type"=>"R","Angle"=>$Angle % 360,"Force"=>$Force);
                             }
                         }
                     }
                 }

                 /* Attraction vectors */
                 if (isset($Settings["Connections"])) {
                     foreach ($Settings["Connections"] as $ID => $NodeID) {
                         if (isset($this->Data[$NodeID])) {
                             $X2 = $this->Data[$NodeID]["X"];
                             $Y2 = $this->Data[$NodeID]["Y"];
                             $FreeZone = $this->Data[$Key2]["FreeZone"];

                             $Distance = $this->getDistance($X1, $Y1, $X2, $Y2);
                             $Angle    = $this->getAngle($X1, $Y1, $X2, $Y2);

                             if ($Distance > $FreeZone) {
                                 $Force = log(($Distance-$FreeZone)+1);
                             } else {
                                 $Force = log(($FreeZone-$Distance)+1);
                                 ($Angle = $Angle + 180);
                             }

                             if ($Force > 1) {
                                 $this->Data[$Key]["Vectors"][] = array("Type"=>"A","Angle"=>$Angle % 360,"Force"=>$Force);
                             }
                         }
                     }
                 }
             }
         }

         /* Move the nodes accoding to the vectors */
         foreach ($this->Data as $Key => $Settings) {
             $X = $Settings["X"];
             $Y = $Settings["Y"];

             if (isset($Settings["Vectors"]) && $Settings["Type"] != NODE_TYPE_CENTRAL) {
                 foreach ($Settings["Vectors"] as $ID => $Vector) {
                     $Type  = $Vector["Type"];
                     $Force = $Vector["Force"];
                     $Angle = $Vector["Angle"];
                     $Factor = $Type == "A" ? $this->MagneticForceA : $this->MagneticForceR;

                     $X = cos(deg2rad($Angle)) * $Force * $Factor + $X;
                     $Y = sin(deg2rad($Angle)) * $Force * $Factor + $Y;
                 }
             }

             $this->Data[$Key]["X"] = $X;
             $this->Data[$Key]["Y"] = $Y;
         }
     }

     public function lastPass()
     {
         /* Put everything inside the graph area */
         foreach ($this->Data as $Key => $Settings) {
             $X = $Settings["X"];
             $Y = $Settings["Y"];

             if ($X < $this->X1) {
                 $X = $this->X1;
             }
             if ($X > $this->X2) {
                 $X = $this->X2;
             }
             if ($Y < $this->Y1) {
                 $Y = $this->Y1;
             }
             if ($Y > $this->Y2) {
                 $Y = $this->Y2;
             }

             $this->Data[$Key]["X"] = $X;
             $this->Data[$Key]["Y"] = $Y;
         }

         /* Dump all links */
         $Links = [];
         foreach ($this->Data as $Key => $Settings) {
             $X1 = $Settings["X"];
             $Y1 = $Settings["Y"];

             if (isset($Settings["Connections"])) {
                 foreach ($Settings["Connections"] as $ID => $NodeID) {
                     if (isset($this->Data[$NodeID])) {
                         $X2 = $this->Data[$NodeID]["X"];
                         $Y2 = $this->Data[$NodeID]["Y"];

                         $Links[] = array("X1"=>$X1,"Y1"=>$Y1,"X2"=>$X2,"Y2"=>$Y2,"Source"=>$Settings["Name"],"Destination"=>$this->Data[$NodeID]["Name"]);
                     }
                 }
             }
         }

         /* Check collisions */
         $Conflicts = 0;
         foreach ($this->Data as $Key => $Settings) {
             $X1 = $Settings["X"];
             $Y1 = $Settings["Y"];

             if (isset($Settings["Connections"])) {
                 foreach ($Settings["Connections"] as $ID => $NodeID) {
                     if (isset($this->Data[$NodeID])) {
                         $X2 = $this->Data[$NodeID]["X"];
                         $Y2 = $this->Data[$NodeID]["Y"];

                         foreach ($Links as $IDLinks => $Link) {
                             $X3 = $Link["X1"];
                             $Y3 = $Link["Y1"];
                             $X4 = $Link["X2"];
                             $Y4 = $Link["Y2"];

                             if (!($X1 == $X3 && $X2 == $X4 && $Y1 == $Y3 && $Y2 == $Y4)) {
                                 if ($this->intersect($X1, $Y1, $X2, $Y2, $X3, $Y3, $X4, $Y4)) {
                                     if ($Link["Source"] != $Settings["Name"] && $Link["Source"] != $this->Data[$NodeID]["Name"] && $Link["Destination"] != $Settings["Name"] && $Link["Destination"] != $this->Data[$NodeID]["Name"]) {
                                         $Conflicts++;
                                     }
                                 }
                             }
                         }
                     }
                 }
             }
         }
         return($Conflicts/2);
     }

     /* Center the graph */
     public function center()
     {
         /* Determine the real center */
         $TargetCenterX = ($this->X2 - $this->X1) / 2 + $this->X1;
         $TargetCenterY = ($this->Y2 - $this->Y1) / 2 + $this->Y1;

         /* Get current boundaries */
         $XMin = $this->X2;
         $XMax = $this->X1;
         $YMin = $this->Y2;
         $YMax = $this->Y1;
         foreach ($this->Data as $Key => $Settings) {
             $X = $Settings["X"];
             $Y = $Settings["Y"];

             if ($X < $XMin) {
                 $XMin = $X;
             }
             if ($X > $XMax) {
                 $XMax = $X;
             }
             if ($Y < $YMin) {
                 $YMin = $Y;
             }
             if ($Y > $YMax) {
                 $YMax = $Y;
             }
         }
         $CurrentCenterX = ($XMax - $XMin) / 2 + $XMin;
         $CurrentCenterY = ($YMax - $YMin) / 2 + $YMin;

         /* Compute the offset to apply */
         $XOffset = $TargetCenterX - $CurrentCenterX;
         $YOffset = $TargetCenterY - $CurrentCenterY;

         /* Correct the points position */
         foreach ($this->Data as $Key => $Settings) {
             $this->Data[$Key]["X"] = $Settings["X"] + $XOffset;
             $this->Data[$Key]["Y"] = $Settings["Y"] + $YOffset;
         }
     }

     /* Create the encoded string */
     public function drawSpring($Object, $Settings="")
     {
         $this->pChartObject = $Object;

         $Pass			= isset($Settings["Pass"]) ? $Settings["Pass"] : 50;
         $Retries			= isset($Settings["Retry"]) ? $Settings["Retry"] : 10;
         $this->MagneticForceA	= isset($Settings["MagneticForceA"]) ? $Settings["MagneticForceA"] : 1.5;
         $this->MagneticForceR	= isset($Settings["MagneticForceR"]) ? $Settings["MagneticForceR"] : 2;
         $this->RingSize		= isset($Settings["RingSize"]) ? $Settings["RingSize"] : 40;
         $DrawVectors		= isset($Settings["DrawVectors"]) ? $Settings["DrawVectors"] : false;
         $DrawQuietZone		= isset($Settings["DrawQuietZone"]) ? $Settings["DrawQuietZone"] : false;
         $CenterGraph		= isset($Settings["CenterGraph"]) ? $Settings["CenterGraph"] : true;
         $TextPadding		= isset($Settings["TextPadding"]) ? $Settings["TextPadding"] : 4;
         $Algorithm			= isset($Settings["Algorithm"]) ? $Settings["Algorithm"] : ALGORITHM_WEIGHTED;

         $FontSize		= $Object->FontSize;
         $this->X1		= $Object->GraphAreaX1;
         $this->Y1		= $Object->GraphAreaY1;
         $this->X2		= $Object->GraphAreaX2;
         $this->Y2		= $Object->GraphAreaY2;

         $Conflicts = 1;
         $Jobs = 0;
         $this->History["MinimumConflicts"] = -1;
         while ($Conflicts != 0 && $Jobs < $Retries) {
             $Jobs++;

             /* Compute the initial settings */
             $this->firstPass($Algorithm);

             /* Apply the vectors */
             if ($Pass > 0) {
                 for ($i=0; $i<=$Pass; $i++) {
                     $this->doPass();
                 }
             }

             $Conflicts = $this->lastPass();
             if ($this->History["MinimumConflicts"] == -1 || $Conflicts < $this->History["MinimumConflicts"]) {
                 $this->History["MinimumConflicts"] = $Conflicts;
                 $this->History["Result"] = $this->Data;
             }
         }

         $Conflicts  = $this->History["MinimumConflicts"];
         $this->Data = $this->History["Result"];

         if ($CenterGraph) {
             $this->center();
         }

         /* Draw the connections */
         $Drawn = "";
         foreach ($this->Data as $Key => $Settings) {
             $X	= $Settings["X"];
             $Y	= $Settings["Y"];

             if (isset($Settings["Connections"])) {
                 foreach ($Settings["Connections"] as $ID => $NodeID) {
                     if (!isset($Drawn[$Key])) {
                         $Drawn[$Key] = "";
                     }
                     if (!isset($Drawn[$NodeID])) {
                         $Drawn[$NodeID] = "";
                     }

                     if (isset($this->Data[$NodeID]) && !isset($Drawn[$Key][$NodeID]) && !isset($Drawn[$NodeID][$Key])) {
                         $Color = array("R"=>$this->Default["LinkR"],"G"=>$this->Default["LinkG"],"B"=>$this->Default["LinkB"],"Alpha"=>$this->Default["Alpha"]);

                         if ($this->Links != "") {
                             if (isset($this->Links[$Key][$NodeID]["R"])) {
                                 $Color = array("R"=>$this->Links[$Key][$NodeID]["R"],"G"=>$this->Links[$Key][$NodeID]["G"],"B"=>$this->Links[$Key][$NodeID]["B"],"Alpha"=>$this->Links[$Key][$NodeID]["Alpha"]);
                             }

                             if (isset($this->Links[$Key][$NodeID]["Ticks"])) {
                                 $Color["Ticks"] = $this->Links[$Key][$NodeID]["Ticks"];
                             }
                         }

                         $X2 = $this->Data[$NodeID]["X"];
                         $Y2 = $this->Data[$NodeID]["Y"];
                         $this->pChartObject->drawLine($X, $Y, $X2, $Y2, $Color);
                         $Drawn[$Key][$NodeID] = true;

                         if (isset($this->Links) && $this->Links != "") {
                             if (isset($this->Links[$Key][$NodeID]["Name"]) || isset($this->Links[$NodeID][$Key]["Name"])) {
                                 $Name  = isset($this->Links[$Key][$NodeID]["Name"]) ? $this->Links[$Key][$NodeID]["Name"] : $this->Links[$NodeID][$Key]["Name"];
                                 $TxtX  = ($X2 - $X)/2 + $X;
                                 $TxtY  = ($Y2 - $Y)/2 + $Y;

                                 if ($X <= $X2) {
                                     $Angle = (360-$this->getAngle($X, $Y, $X2, $Y2)) % 360;
                                 } else {
                                     $Angle = (360-$this->getAngle($X2, $Y2, $X, $Y)) % 360;
                                 }

                                 $Settings          = $Color;
                                 $Settings["Angle"] = $Angle;
                                 $Settings["Align"] = TEXT_ALIGN_BOTTOMMIDDLE;
                                 $this->pChartObject->drawText($TxtX, $TxtY, $Name, $Settings);
                             }
                         }
                     }
                 }
             }
         }

         /* Draw the quiet zones */
         if ($DrawQuietZone) {
             foreach ($this->Data as $Key => $Settings) {
                 $X	 = $Settings["X"];
                 $Y	 = $Settings["Y"];
                 $FreeZone = $Settings["FreeZone"];

                 $this->pChartObject->drawFilledCircle($X, $Y, $FreeZone, array("R"=>0,"G"=>0,"B"=>0,"Alpha"=>2));
             }
         }


         /* Draw the nodes */
         foreach ($this->Data as $Key => $Settings) {
             $X	 = $Settings["X"];
             $Y	 = $Settings["Y"];
             $Name	 = $Settings["Name"];
             $FreeZone = $Settings["FreeZone"];
             $Shape    = $Settings["Shape"];
             $Size     = $Settings["Size"];

             $Color	 = array("R"=>$Settings["R"],"G"=>$Settings["G"],"B"=>$Settings["B"],"Alpha"=>$Settings["Alpha"],"BorderR"=>$Settings["BorderR"],"BorderG"=>$Settings["BorderG"],"BorderB"=>$Settings["BorderB"],"BorderApha"=>$Settings["BorderAlpha"]);

             if ($Shape == NODE_SHAPE_CIRCLE) {
                 $this->pChartObject->drawFilledCircle($X, $Y, $Size, $Color);
             } elseif ($Shape == NODE_SHAPE_TRIANGLE) {
                 $Points = [];
                 $Points[] = cos(deg2rad(270)) * $Size + $X;
                 $Points[] = sin(deg2rad(270)) * $Size + $Y;
                 $Points[] = cos(deg2rad(45)) * $Size + $X;
                 $Points[] = sin(deg2rad(45)) * $Size + $Y;
                 $Points[] = cos(deg2rad(135)) * $Size + $X;
                 $Points[] = sin(deg2rad(135)) * $Size + $Y;
                 $this->pChartObject->drawPolygon($Points, $Color);
             } elseif ($Shape == NODE_SHAPE_SQUARE) {
                 $Offset = $Size/2;
                 $Size = $Size / 2;
                 $this->pChartObject->drawFilledRectangle($X-$Offset, $Y-$Offset, $X+$Offset, $Y+$Offset, $Color);
             }

             if ($Name != "") {
                 $LabelOptions = array("R"=>$this->Labels["R"],"G"=>$this->Labels["G"],"B"=>$this->Labels["B"],"Alpha"=>$this->Labels["Alpha"]);

                 if ($this->Labels["Type"] == LABEL_LIGHT) {
                     $LabelOptions["Align"] = TEXT_ALIGN_BOTTOMLEFT;
                     $this->pChartObject->drawText($X, $Y, $Name, $LabelOptions);
                 } elseif ($this->Labels["Type"] == LABEL_CLASSIC) {
                     $LabelOptions["Align"]         = TEXT_ALIGN_TOPMIDDLE;
                     $LabelOptions["DrawBox"]       = true;
                     $LabelOptions["BoxAlpha"]      = 50;
                     $LabelOptions["BorderOffset"]  = 4;
                     $LabelOptions["RoundedRadius"] = 3;
                     $LabelOptions["BoxRounded"]    = true;
                     $LabelOptions["NoShadow"]      = true;

                     $this->pChartObject->drawText($X, $Y+$Size+$TextPadding, $Name, $LabelOptions);
                 }
             }
         }

         /* Draw the vectors */
         if ($DrawVectors) {
             foreach ($this->Data as $Key => $Settings) {
                 $X1 = $Settings["X"];
                 $Y1 = $Settings["Y"];

                 if (isset($Settings["Vectors"]) && $Settings["Type"] != NODE_TYPE_CENTRAL) {
                     foreach ($Settings["Vectors"] as $ID => $Vector) {
                         $Type  = $Vector["Type"];
                         $Force = $Vector["Force"];
                         $Angle = $Vector["Angle"];
                         $Factor = $Type == "A" ? $this->MagneticForceA : $this->MagneticForceR;
                         $Color  = $Type == "A" ? array("FillR"=>255,"FillG"=>0,"FillB"=>0) : array("FillR"=>0,"FillG"=>255,"FillB"=>0);

                         $X2 = cos(deg2rad($Angle)) * $Force * $Factor + $X1;
                         $Y2 = sin(deg2rad($Angle)) * $Force * $Factor + $Y1;

                         $this->pChartObject->drawArrow($X1, $Y1, $X2, $Y2, $Color);
                     }
                 }
             }
         }

         return(array("Pass"=>$Jobs,"Conflicts"=>$Conflicts));
     }

     /* Return the distance between two points */
     public function getDistance($X1, $Y1, $X2, $Y2)
     {
         return (sqrt(($X2-$X1)*($X2-$X1)+($Y2-$Y1)*($Y2-$Y1)));
     }

     /* Return the angle made by a line and the X axis */
     public function getAngle($X1, $Y1, $X2, $Y2)
     {
         $Opposite = $Y2 - $Y1;
         $Adjacent = $X2 - $X1;
         $Angle = rad2deg(atan2($Opposite, $Adjacent));
         if ($Angle > 0) {
             return($Angle);
         }
         return(360-abs($Angle));
     }

     public function intersect($X1, $Y1, $X2, $Y2, $X3, $Y3, $X4, $Y4)
     {
         $A = (($X3 * $Y4 - $X4 * $Y3) * ($X1 - $X2) - ($X1 * $Y2 - $X2 * $Y1) * ($X3 - $X4));
         $B = (($Y1 - $Y2) * ($X3 - $X4) - ($Y3 - $Y4) * ($X1 - $X2));

         if ($B == 0) {
             return(false);
         }
         $Xi = $A / $B;

         $C = ($X1 - $X2);
         if ($C == 0) {
             return(false);
         }
         $Yi = $Xi * (($Y1 - $Y2)/$C) + (($X1 * $Y2 - $X2 * $Y1)/$C);

         if ($Xi >= min($X1, $X2) && $Xi >= min($X3, $X4) && $Xi <= max($X1, $X2) && $Xi <= max($X3, $X4)) {
             if ($Yi >= min($Y1, $Y2) && $Yi >= min($Y3, $Y4) && $Yi <= max($Y1, $Y2) && $Yi <= max($Y3, $Y4)) {
                 return(true);
             }
         }

         return(false);
     }
 }
