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aurelien |
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<?php
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require_once '../jpgraph.php';
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require_once '../jpgraph_canvas.php';
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require_once '../jpgraph_canvtools.php';
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class ContCanvas {
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public $g;
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public $shape,$scale;
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function __construct($xmax=5,$ymax=5,$width=350,$height=350) {
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$this->g = new CanvasGraph($width,$height);
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$this->scale = new CanvasScale($this->g, 0, $xmax, 0, $ymax);
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$this->shape = new Shape($this->g, $this->scale);
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//$this->g->SetFrame(true);
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$this->g->SetMargin(2,2,2,2);
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$this->g->SetMarginColor('white@1');
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$this->g->InitFrame();
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}
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function StrokeGrid() {
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list($xmin,$xmax,$ymin,$ymax) = $this->scale->Get();
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$this->shape->SetColor('gray');
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for( $col=1; $col<$xmax; ++$col ) {
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$this->shape->Line($col, 0, $col, $ymax);
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}
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for( $row=1; $row<$ymax; ++$row ) {
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$this->shape->Line(0, $row, $xmax, $row);
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}
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}
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function SetDatapoints($datapoints) {
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$ny=count($datapoints);
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$nx=count($datapoints[0]);
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$t = new Text();
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$t->SetFont(FF_ARIAL,FS_NORMAL,8);
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for( $x=0; $x < $nx; ++$x ) {
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for( $y=0; $y < $ny; ++$y ) {
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list($x1,$y1) = $this->scale->Translate($x,$y);
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if( $datapoints[$y][$x] > 0 )
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$t->SetColor('blue');
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else
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$t->SetColor('black');
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$t->SetFont(FF_ARIAL,FS_BOLD,8);
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$t->Set($datapoints[$y][$x]);
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$t->Stroke($this->g->img,$x1,$y1);
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$t->SetColor('gray');
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$t->SetFont(FF_ARIAL,FS_NORMAL,8);
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$t->Set("($y,$x)");
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$t->Stroke($this->g->img,$x1+10,$y1);
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}
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}
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}
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function DrawLinePolygons($p,$color='red') {
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$this->shape->SetColor($color);
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for ($i = 0 ; $i < count($p) ; $i++) {
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$x1 = $p[$i][0][0]; $y1 = $p[$i][0][1];
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for ($j = 1 ; $j < count($p[$i]) ; $j++) {
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$x2=$p[$i][$j][0]; $y2 = $p[$i][$j][1];
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$this->shape->Line($x1, $y1, $x2, $y2);
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$x1=$x2; $y1=$y2;
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}
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}
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}
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function Line($x1,$y1,$x2,$y2,$color='red') {
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$this->shape->SetColor($color);
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$this->shape->Line($x1, $y1, $x2, $y2);
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}
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function Polygon($p,$color='blue') {
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$this->shape->SetColor($color);
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$this->shape->Polygon($p);
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}
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function FilledPolygon($p,$color='lightblue') {
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$this->shape->SetColor($color);
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$this->shape->FilledPolygon($p);
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}
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function Point($x,$y,$color) {
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list($x1,$y1) = $this->scale->Translate($x, $y);
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$this->shape->SetColor($color);
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$this->g->img->Point($x1,$y1);
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}
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function Stroke() {
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$this->g->Stroke();
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}
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}
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// Calculate the area for a simple polygon. This will not work for
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// non-simple polygons, i.e. self crossing.
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function polygonArea($aX, $aY) {
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$n = count($aX);
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$area = 0 ;
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$j = 0 ;
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for ($i=0; $i < $n; $i++) {
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$j++;
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if ( $j == $n) {
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$j=0;
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}
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$area += ($aX[i]+$aX[j])*($aY[i]-$aY[j]);
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}
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return area*.5;
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}
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class SingleTestTriangle {
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const contval=5;
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static $maxdepth=2;
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static $cnt=0;
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static $t;
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public $g;
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public $shape,$scale;
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public $cont = array(2,4,5);
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public $contcolors = array('yellow','purple','seagreen','green','lightblue','blue','teal','orange','red','darkred','brown');
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public $dofill=false;
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public $showtriangulation=false,$triangulation_color="lightgray";
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public $showannotation=false;
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public $contlinecolor='black',$showcontlines=true;
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private $labels = array(), $showlabels=false;
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private $labelColor='black',$labelFF=FF_ARIAL,$labelFS=FS_BOLD,$labelFSize=9;
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function __construct($width,$height,$nx,$ny) {
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$xmax=$nx+0.1;$ymax=$ny+0.1;
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$this->g = new CanvasGraph($width,$height);
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$this->scale = new CanvasScale($this->g, -0.1, $xmax, -0.1, $ymax);
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$this->shape = new Shape($this->g, $this->scale);
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//$this->g->SetFrame(true);
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$this->g->SetMargin(2,2,2,2);
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$this->g->SetMarginColor('white@1');
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//$this->g->InitFrame();
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self::$t = new Text();
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self::$t->SetColor('black');
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self::$t->SetFont(FF_ARIAL,FS_BOLD,9);
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self::$t->SetAlign('center','center');
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}
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function getPlotSize() {
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return array($this->g->img->width,$this->g->img->height);
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}
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function SetContours($c) {
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$this->cont = $c;
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}
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function ShowLabels($aFlg=true) {
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$this->showlabels = $aFlg;
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}
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function ShowLines($aFlg=true) {
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$this->showcontlines=$aFlg;
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}
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function SetFilled($f=true) {
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$this->dofill = $f;
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}
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function ShowTriangulation($f=true) {
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$this->showtriangulation = $f;
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}
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function Stroke() {
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$this->g->Stroke();
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}
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function FillPolygon($color,&$p) {
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self::$cnt++;
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if( $this->dofill ) {
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$this->shape->SetColor($color);
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$this->shape->FilledPolygon($p);
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}
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if( $this->showtriangulation ) {
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$this->shape->SetColor($this->triangulation_color);
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$this->shape->Polygon($p);
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}
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}
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function GetNextHigherContourIdx($val) {
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for( $i=0; $i < count($this->cont); ++$i ) {
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if( $val < $this->cont[$i] ) return $i;
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}
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return count($this->cont);
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}
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function GetContVal($v1) {
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for( $i=0; $i < count($this->cont); ++$i ) {
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if( $this->cont[$i] > $v1 ) {
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return $this->cont[$i];
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}
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}
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die('No contour value is larger or equal than : '.$v1);
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}
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function GetColor($v) {
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return $this->contcolors[$this->GetNextHigherContourIdx($v)];
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}
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function storeAnnotation($x1,$y1,$v1,$angle) {
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$this->labels[$this->GetNextHigherContourIdx($v1)][] = array($x1,$y1,$v1,$angle);
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}
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function labelProx($x1,$y1,$v1) {
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list($w,$h) = $this->getPlotSize();
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if( $x1 < 20 || $x1 > $w-20 )
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return true;
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if( $y1 < 20 || $y1 > $h-20 )
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return true;
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if( !isset ($this->labels[$this->GetNextHigherContourIdx($v1)]) ) {
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return false;
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}
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$p = $this->labels[$this->GetNextHigherContourIdx($v1)];
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$n = count($p);
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$d = 999999;
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for ($i = 0 ; $i < $n ; $i++) {
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$xp = $p[$i][0];
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$yp = $p[$i][1];
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$d = min($d, ($x1-$xp)*($x1-$xp) + ($y1-$yp)*($y1-$yp));
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}
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$limit = $w*$h/9;
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$limit = max(min($limit,20000),3500);
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if( $d < $limit ) return true;
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else return false;
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}
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function putLabel($x1,$y1,$x2,$y2,$v1) {
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$angle = 0;
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if( $x2 - $x1 != 0 ) {
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$grad = ($y2-$y1)/($x2-$x1);
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$angle = -(atan($grad) * 180/M_PI);
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self::$t->SetAngle($angle);
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}
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$x = $this->scale->TranslateX($x1);
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$y = $this->scale->TranslateY($y1);
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if( !$this->labelProx($x, $y, $v1) ) {
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$this->storeAnnotation($x, $y, $v1, $angle);
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}
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}
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function strokeLabels() {
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$t = new Text();
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$t->SetColor($this->labelColor);
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$t->SetFont($this->labelFF,$this->labelFS,$this->labelFSize);
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$t->SetAlign('center','center');
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foreach ($this->labels as $cont_idx => $pos) {
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if( $cont_idx >= 10 ) return;
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foreach ($pos as $idx => $coord) {
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$t->Set( sprintf("%.1f",$coord[2]) );
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$t->SetAngle($coord[3]);
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$t->Stroke($this->g->img,$coord[0],$coord[1]);
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}
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}
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}
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function annotate($x1,$y1,$x2,$y2,$x1p,$y1p,$v1,$v2,$v1p) {
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if( !$this->showannotation ) return;
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/*
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$this->g->img->SetColor('green');
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$this->g->img->FilledCircle($this->scale->TranslateX($x1),$this->scale->TranslateY($y1), 4);
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$this->g->img->FilledCircle($this->scale->TranslateX($x2),$this->scale->TranslateY($y2), 4);
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277 |
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$this->g->img->SetColor('red');
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$this->g->img->FilledCircle($this->scale->TranslateX($x1p),$this->scale->TranslateY($y1p), 4);
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*/
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//self::$t->Set(sprintf("%.1f",$v1,$this->VC($v1)));
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//self::$t->Stroke($this->g->img,$this->scale->TranslateX($x1),$this->scale->TranslateY($y1));
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//self::$t->Set(sprintf("%.1f",$v2,$this->VC($v2)));
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//self::$t->Stroke($this->g->img,$this->scale->TranslateX($x2),$this->scale->TranslateY($y2));
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285 |
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$x = $this->scale->TranslateX($x1p);
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287 |
$y = $this->scale->TranslateY($y1p);
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288 |
if( !$this->labelProx($x, $y, $v1p) ) {
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289 |
$this->storeAnnotation($x, $y, $v1p);
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290 |
self::$t->Set(sprintf("%.1f",$v1p,$this->VC($v1p)));
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291 |
self::$t->Stroke($this->g->img,$x,$y);
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}
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293 |
}
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294 |
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295 |
function Pertubate(&$v1,&$v2,&$v3,&$v4) {
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296 |
$pert = 0.9999;
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297 |
$n = count($this->cont);
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298 |
for($i=0; $i < $n; ++$i) {
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299 |
if( $v1==$this->cont[$i] ) {
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300 |
$v1 *= $pert;
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301 |
break;
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302 |
}
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303 |
}
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304 |
for($i=0; $i < $n; ++$i) {
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305 |
if( $v2==$this->cont[$i] ) {
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306 |
$v2 *= $pert;
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307 |
break;
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308 |
}
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309 |
}
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310 |
for($i=0; $i < $n; ++$i) {
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311 |
if( $v3==$this->cont[$i] ) {
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312 |
$v3 *= $pert;
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313 |
break;
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314 |
}
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315 |
}
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316 |
for($i=0; $i < $n; ++$i) {
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317 |
if( $v4==$this->cont[$i] ) {
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318 |
$v4 *= $pert;
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319 |
break;
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320 |
}
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321 |
}
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322 |
}
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323 |
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324 |
function interp2($x1,$y1,$x2,$y2,$v1,$v2) {
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325 |
$cv = $this->GetContVal(min($v1,$v2));
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326 |
$alpha = ($v1-$cv)/($v1-$v2);
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327 |
$x1p = $x1*(1-$alpha) + $x2*$alpha;
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328 |
$y1p = $y1*(1-$alpha) + $y2*$alpha;
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329 |
$v1p = $v1 + $alpha*($v2-$v1);
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330 |
return array($x1p,$y1p,$v1p);
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331 |
}
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332 |
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333 |
function RectFill($v1,$v2,$v3,$v4,$x1,$y1,$x2,$y2,$x3,$y3,$x4,$y4,$depth) {
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334 |
if( $depth >= self::$maxdepth ) {
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335 |
// Abort and just appoximate the color of this area
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336 |
// with the average of the three values
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|
|
337 |
$color = $this->GetColor(($v1+$v2+$v3+$v4)/4);
|
|
|
338 |
$p = array($x1, $y1, $x2, $y2, $x3, $y3, $x4, $y4, $x1, $y1);
|
|
|
339 |
$this->FillPolygon($color,$p) ;
|
|
|
340 |
}
|
|
|
341 |
else {
|
|
|
342 |
|
|
|
343 |
$this->Pertubate($v1,$v2,$v3,$v4);
|
|
|
344 |
|
|
|
345 |
$fcnt = 0 ;
|
|
|
346 |
$vv1 = $this->GetNextHigherContourIdx($v1);
|
|
|
347 |
$vv2 = $this->GetNextHigherContourIdx($v2);
|
|
|
348 |
$vv3 = $this->GetNextHigherContourIdx($v3);
|
|
|
349 |
$vv4 = $this->GetNextHigherContourIdx($v4);
|
|
|
350 |
$eps = 0.0001;
|
|
|
351 |
|
|
|
352 |
if( $vv1 == $vv2 && $vv2 == $vv3 && $vv3 == $vv4 ) {
|
|
|
353 |
$color = $this->GetColor($v1);
|
|
|
354 |
$p = array($x1, $y1, $x2, $y2, $x3, $y3, $x4, $y4, $x1, $y1);
|
|
|
355 |
$this->FillPolygon($color,$p) ;
|
|
|
356 |
}
|
|
|
357 |
else {
|
|
|
358 |
|
|
|
359 |
$dv1 = abs($vv1-$vv2);
|
|
|
360 |
$dv2 = abs($vv2-$vv3);
|
|
|
361 |
$dv3 = abs($vv3-$vv4);
|
|
|
362 |
$dv4 = abs($vv1-$vv4);
|
|
|
363 |
|
|
|
364 |
if( $dv1 == 1 ) {
|
|
|
365 |
list($x1p,$y1p,$v1p) = $this->interp2($x1,$y1,$x2,$y2,$v1,$v2);
|
|
|
366 |
$fcnt++;
|
|
|
367 |
}
|
|
|
368 |
|
|
|
369 |
if( $dv2 == 1 ) {
|
|
|
370 |
list($x2p,$y2p,$v2p) = $this->interp2($x2,$y2,$x3,$y3,$v2,$v3);
|
|
|
371 |
$fcnt++;
|
|
|
372 |
}
|
|
|
373 |
|
|
|
374 |
if( $dv3 == 1 ) {
|
|
|
375 |
list($x3p,$y3p,$v3p) = $this->interp2($x3,$y3,$x4,$y4,$v3,$v4);
|
|
|
376 |
$fcnt++;
|
|
|
377 |
}
|
|
|
378 |
|
|
|
379 |
if( $dv4 == 1 ) {
|
|
|
380 |
list($x4p,$y4p,$v4p) = $this->interp2($x4,$y4,$x1,$y1,$v4,$v1);
|
|
|
381 |
$fcnt++;
|
|
|
382 |
}
|
|
|
383 |
|
|
|
384 |
$totdv = $dv1 + $dv2 + $dv3 + $dv4 ;
|
|
|
385 |
|
|
|
386 |
if( ($fcnt == 2 && $totdv==2) || ($fcnt == 4 && $totdv==4) ) {
|
|
|
387 |
|
|
|
388 |
if( $fcnt == 2 && $totdv==2 ) {
|
|
|
389 |
|
|
|
390 |
if( $dv1 == 1 && $dv2 == 1) {
|
|
|
391 |
$color1 = $this->GetColor($v2);
|
|
|
392 |
$p1 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x1p,$y1p);
|
|
|
393 |
$color2 = $this->GetColor($v4);
|
|
|
394 |
$p2 = array($x1,$y1,$x1p,$y1p,$x2p,$y2p,$x3,$y3,$x4,$y4,$x1,$y1);
|
|
|
395 |
|
|
|
396 |
$color = $this->GetColor($v1p);
|
|
|
397 |
$p = array($x1p,$y1p,$x2p,$y2p);
|
|
|
398 |
$v = $v1p;
|
|
|
399 |
}
|
|
|
400 |
elseif( $dv1 == 1 && $dv3 == 1 ) {
|
|
|
401 |
$color1 = $this->GetColor($v2);
|
|
|
402 |
$p1 = array($x1p,$y1p,$x2,$y2,$x3,$y3,$x3p,$y3p,$x1p,$y1p);
|
|
|
403 |
$color2 = $this->GetColor($v4);
|
|
|
404 |
$p2 = array($x1,$y1,$x1p,$y1p,$x3p,$y3p,$x4,$y4,$x1,$y1);
|
|
|
405 |
|
|
|
406 |
$color = $this->GetColor($v1p);
|
|
|
407 |
$p = array($x1p,$y1p,$x3p,$y3p);
|
|
|
408 |
$v = $v1p;
|
|
|
409 |
}
|
|
|
410 |
elseif( $dv1 == 1 && $dv4 == 1 ) {
|
|
|
411 |
$color1 = $this->GetColor($v1);
|
|
|
412 |
$p1 = array($x1,$y1,$x1p,$y1p,$x4p,$y4p,$x1,$y1);
|
|
|
413 |
$color2 = $this->GetColor($v3);
|
|
|
414 |
$p2 = array($x1p,$y1p,$x2,$y2,$x3,$y3,$x4,$y4,$x4p,$y4p,$x1p,$y1p);
|
|
|
415 |
|
|
|
416 |
$color = $this->GetColor($v1p);
|
|
|
417 |
$p = array($x1p,$y1p,$x4p,$y4p);
|
|
|
418 |
$v = $v1p;
|
|
|
419 |
}
|
|
|
420 |
elseif( $dv2 == 1 && $dv4 == 1 ) {
|
|
|
421 |
$color1 = $this->GetColor($v1);
|
|
|
422 |
$p1 = array($x1,$y1,$x2,$y2,$x2p,$y2p,$x4p,$y4p,$x1,$y1);
|
|
|
423 |
$color2 = $this->GetColor($v3);
|
|
|
424 |
$p2 = array($x4p,$y4p,$x2p,$y2p,$x3,$y3,$x4,$y4,$x4p,$y4p);
|
|
|
425 |
|
|
|
426 |
$color = $this->GetColor($v2p);
|
|
|
427 |
$p = array($x2p,$y2p,$x4p,$y4p);
|
|
|
428 |
$v = $v2p;
|
|
|
429 |
}
|
|
|
430 |
elseif( $dv2 == 1 && $dv3 == 1 ) {
|
|
|
431 |
$color1 = $this->GetColor($v1);
|
|
|
432 |
$p1 = array($x1,$y1,$x2,$y2,$x2p,$y2p,$x3p,$y3p,$x4,$y4,$x1,$y1);
|
|
|
433 |
$color2 = $this->GetColor($v3);
|
|
|
434 |
$p2 = array($x2p,$y2p,$x3,$y3,$x3p,$y3p,$x2p,$y2p);
|
|
|
435 |
|
|
|
436 |
$color = $this->GetColor($v2p);
|
|
|
437 |
$p = array($x2p,$y2p,$x3p,$y3p);
|
|
|
438 |
$v = $v2p;
|
|
|
439 |
}
|
|
|
440 |
elseif( $dv3 == 1 && $dv4 == 1 ) {
|
|
|
441 |
$color1 = $this->GetColor($v1);
|
|
|
442 |
$p1 = array($x1,$y1,$x2,$y2,$x3,$y3,$x3p,$y3p,$x4p,$y4p,$x1,$y1);
|
|
|
443 |
$color2 = $this->GetColor($v4);
|
|
|
444 |
$p2 = array($x4p,$y4p,$x3p,$y3p,$x4,$y4,$x4p,$y4p);
|
|
|
445 |
|
|
|
446 |
$color = $this->GetColor($v4p);
|
|
|
447 |
$p = array($x4p,$y4p,$x3p,$y3p);
|
|
|
448 |
$v = $v4p;
|
|
|
449 |
}
|
|
|
450 |
|
|
|
451 |
$this->FillPolygon($color1,$p1);
|
|
|
452 |
$this->FillPolygon($color2,$p2);
|
|
|
453 |
|
|
|
454 |
if( $this->showcontlines ) {
|
|
|
455 |
if( $this->dofill ) {
|
|
|
456 |
$this->shape->SetColor($this->contlinecolor);
|
|
|
457 |
}
|
|
|
458 |
else {
|
|
|
459 |
$this->shape->SetColor($color);
|
|
|
460 |
}
|
|
|
461 |
$this->shape->Line($p[0],$p[1],$p[2],$p[3]);
|
|
|
462 |
}
|
|
|
463 |
if( $this->showlabels ) {
|
|
|
464 |
$this->putLabel( ($p[0]+$p[2])/2, ($p[1]+$p[3])/2, $p[2],$p[3] , $v);
|
|
|
465 |
}
|
|
|
466 |
}
|
|
|
467 |
elseif( $fcnt == 4 && $totdv==4 ) {
|
|
|
468 |
$vc = ($v1+$v2+$v3+$v4)/4;
|
|
|
469 |
|
|
|
470 |
if( $v1p == $v2p && $v2p == $v3p && $v3p == $v4p ) {
|
|
|
471 |
// Four edge crossings (saddle point) of the same contour
|
|
|
472 |
// so we first need to
|
|
|
473 |
// find out how the saddle is crossing "/" or "\"
|
|
|
474 |
|
|
|
475 |
if( $this->GetNextHigherContourIdx($vc) == $this->GetNextHigherContourIdx($v1) ) {
|
|
|
476 |
// "\"
|
|
|
477 |
$color1 = $this->GetColor($v1);
|
|
|
478 |
$p1 = array($x1,$y1,$x1p,$y1p,$x4p,$y4p,$x1,$y1);
|
|
|
479 |
|
|
|
480 |
$color2 = $this->GetColor($v2);
|
|
|
481 |
$p2 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x3p,$y3p,$x4,$y4,$x4p,$y4p,$x1p,$y1p);
|
|
|
482 |
|
|
|
483 |
$color3 = $color1;
|
|
|
484 |
$p3 = array($x2p,$y2p,$x3,$y3,$x3p,$y3p,$x2p,$y2p);
|
|
|
485 |
|
|
|
486 |
$colorl1 = $this->GetColor($v1p);
|
|
|
487 |
$pl1 = array($x1p,$y1p,$x4p,$y4p);
|
|
|
488 |
$colorl2 = $this->GetColor($v2p);
|
|
|
489 |
$pl2 = array($x2p,$y2p,$x3p,$y3p);
|
|
|
490 |
$vl1 = $v1p; $vl2 = $v2p;
|
|
|
491 |
|
|
|
492 |
}
|
|
|
493 |
else {
|
|
|
494 |
// "/"
|
|
|
495 |
$color1 = $this->GetColor($v2);
|
|
|
496 |
$p1 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x1p,$y1p);
|
|
|
497 |
|
|
|
498 |
$color2 = $this->GetColor($v3);
|
|
|
499 |
$p2 = array($x1p,$y1p,$x2p,$y2p,$x3,$y3,$x3p,$y3p,$x4p,$y4p,$x1,$y1,$x1p,$y1p);
|
|
|
500 |
|
|
|
501 |
$color3 = $color1;
|
|
|
502 |
$p3 = array($x4p,$y4p,$x3p,$y3p,$x4,$y4,$x4p,$y4p);
|
|
|
503 |
|
|
|
504 |
$colorl1 = $this->GetColor($v1p);
|
|
|
505 |
$pl1 = array($x1p,$y1p,$x2p,$y2p);
|
|
|
506 |
$colorl2 = $this->GetColor($v4p);
|
|
|
507 |
$pl2 = array($x4p,$y4p,$x3p,$y3p);
|
|
|
508 |
$vl1 = $v1p; $vl2 = $v4p;
|
|
|
509 |
}
|
|
|
510 |
}
|
|
|
511 |
else {
|
|
|
512 |
// There are two different contours crossing so we need to find
|
|
|
513 |
// out which belongs to which
|
|
|
514 |
if( $v1p == $v2p ) {
|
|
|
515 |
// "/"
|
|
|
516 |
$color1 = $this->GetColor($v2);
|
|
|
517 |
$p1 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x1p,$y1p);
|
|
|
518 |
|
|
|
519 |
$color2 = $this->GetColor($v3);
|
|
|
520 |
$p2 = array($x1p,$y1p,$x2p,$y2p,$x3,$y3,$x3p,$y3p,$x4p,$y4p,$x1,$y1,$x1p,$y1p);
|
|
|
521 |
|
|
|
522 |
$color3 = $this->GetColor($v4);
|
|
|
523 |
$p3 = array($x4p,$y4p,$x3p,$y3p,$x4,$y4,$x4p,$y4p);
|
|
|
524 |
|
|
|
525 |
$colorl1 = $this->GetColor($v1p);
|
|
|
526 |
$pl1 = array($x1p,$y1p,$x2p,$y2p);
|
|
|
527 |
$colorl2 = $this->GetColor($v4p);
|
|
|
528 |
$pl2 = array($x4p,$y4p,$x3p,$y3p);
|
|
|
529 |
$vl1 = $v1p; $vl2 = $v4p;
|
|
|
530 |
}
|
|
|
531 |
else { //( $v1p == $v4p )
|
|
|
532 |
// "\"
|
|
|
533 |
$color1 = $this->GetColor($v1);
|
|
|
534 |
$p1 = array($x1,$y1,$x1p,$y1p,$x4p,$y4p,$x1,$y1);
|
|
|
535 |
|
|
|
536 |
$color2 = $this->GetColor($v2);
|
|
|
537 |
$p2 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x3p,$y3p,$x4,$y4,$x4p,$y4p,$x1p,$y1p);
|
|
|
538 |
|
|
|
539 |
$color3 = $this->GetColor($v3);
|
|
|
540 |
$p3 = array($x2p,$y2p,$x3,$y3,$x3p,$y3p,$x2p,$y2p);
|
|
|
541 |
|
|
|
542 |
$colorl1 = $this->GetColor($v1p);
|
|
|
543 |
$pl1 = array($x1p,$y1p,$x4p,$y4p);
|
|
|
544 |
$colorl2 = $this->GetColor($v2p);
|
|
|
545 |
$pl2 = array($x2p,$y2p,$x3p,$y3p);
|
|
|
546 |
$vl1 = $v1p; $vl2 = $v2p;
|
|
|
547 |
}
|
|
|
548 |
}
|
|
|
549 |
$this->FillPolygon($color1,$p1);
|
|
|
550 |
$this->FillPolygon($color2,$p2);
|
|
|
551 |
$this->FillPolygon($color3,$p3);
|
|
|
552 |
|
|
|
553 |
if( $this->showcontlines ) {
|
|
|
554 |
if( $this->dofill ) {
|
|
|
555 |
$this->shape->SetColor($this->contlinecolor);
|
|
|
556 |
$this->shape->Line($pl1[0],$pl1[1],$pl1[2],$pl1[3]);
|
|
|
557 |
$this->shape->Line($pl2[0],$pl2[1],$pl2[2],$pl2[3]);
|
|
|
558 |
}
|
|
|
559 |
else {
|
|
|
560 |
$this->shape->SetColor($colorl1);
|
|
|
561 |
$this->shape->Line($pl1[0],$pl1[1],$pl1[2],$pl1[3]);
|
|
|
562 |
$this->shape->SetColor($colorl2);
|
|
|
563 |
$this->shape->Line($pl2[0],$pl2[1],$pl2[2],$pl2[3]);
|
|
|
564 |
}
|
|
|
565 |
}
|
|
|
566 |
if( $this->showlabels ) {
|
|
|
567 |
$this->putLabel( ($pl1[0]+$pl1[2])/2, ($pl1[1]+$pl1[3])/2, $pl1[2], $pl1[3], $vl1);
|
|
|
568 |
$this->putLabel( ($pl2[0]+$pl2[2])/2, ($pl2[1]+$pl2[3])/2, $pl2[2], $pl2[3],$vl2);
|
|
|
569 |
}
|
|
|
570 |
}
|
|
|
571 |
}
|
|
|
572 |
else {
|
|
|
573 |
$vc = ($v1+$v2+$v3+$v4)/4;
|
|
|
574 |
$xc = ($x1+$x4)/2;
|
|
|
575 |
$yc = ($y1+$y2)/2;
|
|
|
576 |
|
|
|
577 |
// Top left
|
|
|
578 |
$this->RectFill(($v1+$v2)/2, $v2, ($v2+$v3)/2, $vc,
|
|
|
579 |
$x1,$yc, $x2,$y2, $xc,$y2, $xc,$yc, $depth+1);
|
|
|
580 |
// Top right
|
|
|
581 |
$this->RectFill($vc, ($v2+$v3)/2, $v3, ($v3+$v4)/2,
|
|
|
582 |
$xc,$yc, $xc,$y2, $x3,$y3, $x3,$yc, $depth+1);
|
|
|
583 |
|
|
|
584 |
// Bottom left
|
|
|
585 |
$this->RectFill($v1, ($v1+$v2)/2, $vc, ($v1+$v4)/2,
|
|
|
586 |
$x1,$y1, $x1,$yc, $xc,$yc, $xc,$y4, $depth+1);
|
|
|
587 |
|
|
|
588 |
// Bottom right
|
|
|
589 |
$this->RectFill(($v1+$v4)/2, $vc, ($v3+$v4)/2, $v4,
|
|
|
590 |
$xc,$y1, $xc,$yc, $x3,$yc, $x4,$y4, $depth+1);
|
|
|
591 |
|
|
|
592 |
}
|
|
|
593 |
}
|
|
|
594 |
}
|
|
|
595 |
}
|
|
|
596 |
|
|
|
597 |
function TriFill($v1,$v2,$v3,$x1,$y1,$x2,$y2,$x3,$y3,$depth) {
|
|
|
598 |
if( $depth >= self::$maxdepth ) {
|
|
|
599 |
// Abort and just appoximate the color of this area
|
|
|
600 |
// with the average of the three values
|
|
|
601 |
$color = $this->GetColor(($v1+$v2+$v3)/3);
|
|
|
602 |
$p = array($x1, $y1, $x2, $y2, $x3, $y3, $x1, $y1);
|
|
|
603 |
$this->FillPolygon($color,$p) ;
|
|
|
604 |
}
|
|
|
605 |
else {
|
|
|
606 |
// In order to avoid some real unpleasentness in case a vertice is exactly
|
|
|
607 |
// the same value as a contour we pertuberate them so that we do not end up
|
|
|
608 |
// in udefined situation. This will only affect the calculations and not the
|
|
|
609 |
// visual appearance
|
|
|
610 |
|
|
|
611 |
$dummy=0;
|
|
|
612 |
$this->Pertubate($v1,$v2,$v3,$dummy);
|
|
|
613 |
|
|
|
614 |
$fcnt = 0 ;
|
|
|
615 |
$vv1 = $this->GetNextHigherContourIdx($v1);
|
|
|
616 |
$vv2 = $this->GetNextHigherContourIdx($v2);
|
|
|
617 |
$vv3 = $this->GetNextHigherContourIdx($v3);
|
|
|
618 |
$eps = 0.0001;
|
|
|
619 |
|
|
|
620 |
if( $vv1 == $vv2 && $vv2 == $vv3 ) {
|
|
|
621 |
$color = $this->GetColor($v1);
|
|
|
622 |
$p = array($x1, $y1, $x2, $y2, $x3, $y3, $x1, $y1);
|
|
|
623 |
$this->FillPolygon($color,$p) ;
|
|
|
624 |
}
|
|
|
625 |
else {
|
|
|
626 |
$dv1 = abs($vv1-$vv2);
|
|
|
627 |
$dv2 = abs($vv2-$vv3);
|
|
|
628 |
$dv3 = abs($vv1-$vv3);
|
|
|
629 |
|
|
|
630 |
if( $dv1 == 1 ) {
|
|
|
631 |
list($x1p,$y1p,$v1p) = $this->interp2($x1,$y1,$x2,$y2,$v1,$v2);
|
|
|
632 |
$fcnt++;
|
|
|
633 |
}
|
|
|
634 |
else {
|
|
|
635 |
$x1p = ($x1+$x2)/2;
|
|
|
636 |
$y1p = ($y1+$y2)/2;
|
|
|
637 |
$v1p = ($v1+$v2)/2;
|
|
|
638 |
}
|
|
|
639 |
|
|
|
640 |
if( $dv2 == 1 ) {
|
|
|
641 |
list($x2p,$y2p,$v2p) = $this->interp2($x2,$y2,$x3,$y3,$v2,$v3);
|
|
|
642 |
$fcnt++;
|
|
|
643 |
}
|
|
|
644 |
else {
|
|
|
645 |
$x2p = ($x2+$x3)/2;
|
|
|
646 |
$y2p = ($y2+$y3)/2;
|
|
|
647 |
$v2p = ($v2+$v3)/2;
|
|
|
648 |
}
|
|
|
649 |
|
|
|
650 |
if( $dv3 == 1 ) {
|
|
|
651 |
list($x3p,$y3p,$v3p) = $this->interp2($x3,$y3,$x1,$y1,$v3,$v1);
|
|
|
652 |
$fcnt++;
|
|
|
653 |
}
|
|
|
654 |
else {
|
|
|
655 |
$x3p = ($x3+$x1)/2;
|
|
|
656 |
$y3p = ($y3+$y1)/2;
|
|
|
657 |
$v3p = ($v3+$v1)/2;
|
|
|
658 |
}
|
|
|
659 |
|
|
|
660 |
if( $fcnt == 2 &&
|
|
|
661 |
((abs($v1p-$v2p) < $eps && $dv1 ==1 && $dv2==1 ) ||
|
|
|
662 |
(abs($v1p-$v3p) < $eps && $dv1 ==1 && $dv3==1 ) ||
|
|
|
663 |
(abs($v2p-$v3p) < $eps && $dv2 ==1 && $dv3==1 )) ) {
|
|
|
664 |
|
|
|
665 |
// This means that the contour line crosses exactly two sides
|
|
|
666 |
// and that the values of each vertice is such that only this
|
|
|
667 |
// contour line will cross this section.
|
|
|
668 |
// We can now be smart. The cotour line will simply divide the
|
|
|
669 |
// area in two polygons that we can fill and then return. There is no
|
|
|
670 |
// need to recurse.
|
|
|
671 |
|
|
|
672 |
// First find out which two sides the contour is crossing
|
|
|
673 |
if( abs($v1p-$v2p) < $eps ) {
|
|
|
674 |
$p4 = array($x1,$y1,$x1p,$y1p,$x2p,$y2p,$x3,$y3,$x1,$y1);
|
|
|
675 |
$color4 = $this->GetColor($v1);
|
|
|
676 |
|
|
|
677 |
$p3 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x1p,$y1p);
|
|
|
678 |
$color3 = $this->GetColor($v2);
|
|
|
679 |
|
|
|
680 |
$p = array($x1p,$y1p,$x2p,$y2p);
|
|
|
681 |
$color = $this->GetColor($v1p);
|
|
|
682 |
$v = $v1p;
|
|
|
683 |
}
|
|
|
684 |
elseif( abs($v1p-$v3p) < $eps ) {
|
|
|
685 |
$p4 = array($x1p,$y1p,$x2,$y2,$x3,$y3,$x3p,$y3p,$x1p,$y1p);
|
|
|
686 |
$color4 = $this->GetColor($v2);
|
|
|
687 |
|
|
|
688 |
$p3 = array($x1,$y1,$x1p,$y1p,$x3p,$y3p,$x1,$y1);
|
|
|
689 |
$color3 = $this->GetColor($v1);
|
|
|
690 |
|
|
|
691 |
$p = array($x1p,$y1p,$x3p,$y3p);
|
|
|
692 |
$color = $this->GetColor($v1p);
|
|
|
693 |
$v = $v1p;
|
|
|
694 |
}
|
|
|
695 |
else {
|
|
|
696 |
$p4 = array($x1,$y1,$x2,$y2,$x2p,$y2p,$x3p,$y3p,$x1,$y1);
|
|
|
697 |
$color4 = $this->GetColor($v2);
|
|
|
698 |
|
|
|
699 |
$p3 = array($x3p,$y3p,$x2p,$y2p,$x3,$y3,$x3p,$y3p);
|
|
|
700 |
$color3 = $this->GetColor($v3);
|
|
|
701 |
|
|
|
702 |
$p = array($x3p,$y3p,$x2p,$y2p);
|
|
|
703 |
$color = $this->GetColor($v3p);
|
|
|
704 |
$v = $v3p;
|
|
|
705 |
}
|
|
|
706 |
$this->FillPolygon($color4,$p4);
|
|
|
707 |
$this->FillPolygon($color3,$p3);
|
|
|
708 |
|
|
|
709 |
if( $this->showcontlines ) {
|
|
|
710 |
if( $this->dofill ) {
|
|
|
711 |
$this->shape->SetColor($this->contlinecolor);
|
|
|
712 |
}
|
|
|
713 |
else {
|
|
|
714 |
$this->shape->SetColor($color);
|
|
|
715 |
}
|
|
|
716 |
$this->shape->Line($p[0],$p[1],$p[2],$p[3]);
|
|
|
717 |
}
|
|
|
718 |
if( $this->showlabels ) {
|
|
|
719 |
$this->putLabel( ($p[0]+$p[2])/2, ($p[1]+$p[3])/2, $p[2], $p[3], $v);
|
|
|
720 |
}
|
|
|
721 |
}
|
|
|
722 |
else {
|
|
|
723 |
$this->TriFill($v1, $v1p, $v3p, $x1, $y1, $x1p, $y1p, $x3p, $y3p, $depth+1);
|
|
|
724 |
$this->TriFill($v1p, $v2, $v2p, $x1p, $y1p, $x2, $y2, $x2p, $y2p, $depth+1);
|
|
|
725 |
$this->TriFill($v3p, $v1p, $v2p, $x3p, $y3p, $x1p, $y1p, $x2p, $y2p, $depth+1);
|
|
|
726 |
$this->TriFill($v3p, $v2p, $v3, $x3p, $y3p, $x2p, $y2p, $x3, $y3, $depth+1);
|
|
|
727 |
}
|
|
|
728 |
}
|
|
|
729 |
}
|
|
|
730 |
}
|
|
|
731 |
|
|
|
732 |
function Fill($v1,$v2,$v3,$maxdepth) {
|
|
|
733 |
$x1=0; $y1=1;
|
|
|
734 |
$x2=1; $y2=0;
|
|
|
735 |
$x3=1; $y3=1;
|
|
|
736 |
self::$maxdepth = $maxdepth;
|
|
|
737 |
$this->TriFill($v1, $v2, $v3, $x1, $y1, $x2, $y2, $x3, $y3, 0);
|
|
|
738 |
}
|
|
|
739 |
|
|
|
740 |
function Fillmesh($meshdata,$maxdepth,$method='tri') {
|
|
|
741 |
$nx = count($meshdata[0]);
|
|
|
742 |
$ny = count($meshdata);
|
|
|
743 |
self::$maxdepth = $maxdepth;
|
|
|
744 |
for( $x=0; $x < $nx-1; ++$x ) {
|
|
|
745 |
for( $y=0; $y < $ny-1; ++$y ) {
|
|
|
746 |
$v1 = $meshdata[$y][$x];
|
|
|
747 |
$v2 = $meshdata[$y][$x+1];
|
|
|
748 |
$v3 = $meshdata[$y+1][$x+1];
|
|
|
749 |
$v4 = $meshdata[$y+1][$x];
|
|
|
750 |
|
|
|
751 |
if( $method == 'tri' ) {
|
|
|
752 |
// Fill upper and lower triangle
|
|
|
753 |
$this->TriFill($v4, $v1, $v2, $x, $y+1, $x, $y, $x+1, $y, 0);
|
|
|
754 |
$this->TriFill($v4, $v2, $v3, $x, $y+1, $x+1, $y, $x+1, $y+1, 0);
|
|
|
755 |
}
|
|
|
756 |
else {
|
|
|
757 |
$this->RectFill($v4, $v1, $v2, $v3, $x, $y+1, $x, $y, $x+1, $y, $x+1, $y+1, 0);
|
|
|
758 |
}
|
|
|
759 |
}
|
|
|
760 |
}
|
|
|
761 |
if( $this->showlabels ) {
|
|
|
762 |
$this->strokeLabels();
|
|
|
763 |
}
|
|
|
764 |
}
|
|
|
765 |
}
|
|
|
766 |
|
|
|
767 |
$meshdata = array(
|
|
|
768 |
array (12,12,10,10),
|
|
|
769 |
array (10,10,8,14),
|
|
|
770 |
array (7,7,13,17),
|
|
|
771 |
array (4,5,8,12),
|
|
|
772 |
array (10,8,7,8));
|
|
|
773 |
|
|
|
774 |
$tt = new SingleTestTriangle(400,400,count($meshdata[0])-1,count($meshdata)-1);
|
|
|
775 |
$tt->SetContours(array(4.7, 6.0, 7.2, 8.6, 9.9, 11.2, 12.5, 13.8, 15.1, 16.4));
|
|
|
776 |
$tt->SetFilled(true);
|
|
|
777 |
|
|
|
778 |
//$tt->ShowTriangulation(true);
|
|
|
779 |
$tt->ShowLines(true);
|
|
|
780 |
|
|
|
781 |
//$tt->ShowLabels(true);
|
|
|
782 |
$tt->Fillmesh($meshdata, 8, 'rect');
|
|
|
783 |
|
|
|
784 |
//$tt->Fill(4.0,3.0,7.0, 4);
|
|
|
785 |
//$tt->Fill(7,4,1,5);
|
|
|
786 |
//$tt->Fill(1,7,4,5);
|
|
|
787 |
|
|
|
788 |
$tt->Stroke();
|
|
|
789 |
|
|
|
790 |
?>
|