You are here

pSpring.class.php in Visitors 7.2

Same filename and directory in other branches
  1. 7 pChart/class/pSpring.class.php

File

pChart/class/pSpring.class.php
View source
<?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 */
class pSpring {
  var $History;
  var $pChartObject;
  var $Data;
  var $Links;
  var $X1;
  var $Y1;
  var $X2;
  var $Y2;
  var $AutoComputeFreeZone;
  var $Labels;

  /* Class creator */
  function pSpring() {

    /* 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 */
  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 */
  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 */
  function autoFreeZone() {

    /* Check connections reciprocity */
    foreach ($this->Data as $Key => $Settings) {
      if (isset($Settings["Connections"])) {
        $this->Data[$Key]["FreeZone"] = count($Settings["Connections"]) * 10 + 20;
      }
      else {
        $this->Data[$Key]["FreeZone"] = 20;
      }
    }
  }

  /* Set link properties */
  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"] = $Ticks;
  }
  function setNodeDefaults($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 */
  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 */
  function setNodesColor($Nodes, $Settings = "") {
    if (is_array($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 */
  function dumpNodes() {
    return $this->Data;
  }

  /* Check if a connection exists and create it if required */
  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 */
  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 */
  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 */
  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"])) {
        if ($MaxConnections < count($Settings["Connections"])) {
          $MaxConnections = count($Settings["Connections"]);
        }
      }
    }
    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"])) {
            $Connections = count($Settings["Connections"]);
          }
          else {
            $Connections = 0;
          }
          $Ring = $MaxConnections - $Connections;
          $Angle = 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"] = count($Settings["Connections"]);
        }
        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"])) {
              $Connections = count($Settings["Connections"]);
            }
            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(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 = 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"])) {
              $Connections = count($Settings["Connections"]);
            }
            else {
              $Connections = 0;
            }
            if ($Connections == $i) {
              $Ring = $MaxConnections - $Connections;
              $Angle = 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 + rand(-20, 20);
          $this->Data[$Key]["Y"] = $CenterY + rand(-20, 20);
        }
        if ($Settings["Type"] == NODE_TYPE_CENTRAL) {
          $this->Data[$Key]["X"] = $CenterX;
          $this->Data[$Key]["Y"] = $CenterY;
        }
      }
    }
  }

  /* Compute one pass */
  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;
    }
  }
  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 */
  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 */
  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 */
  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 */
  function getAngle($X1, $Y1, $X2, $Y2) {
    $Opposite = $Y2 - $Y1;
    $Adjacent = $X2 - $X1;
    $Angle = rad2deg(atan2($Opposite, $Adjacent));
    if ($Angle > 0) {
      return $Angle;
    }
    else {
      return 360 - abs($Angle);
    }
  }
  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;
  }

}