791 lines
30 KiB
PHP
791 lines
30 KiB
PHP
<?php
|
|
require_once '../jpgraph.php';
|
|
require_once '../jpgraph_canvas.php';
|
|
require_once '../jpgraph_canvtools.php';
|
|
|
|
|
|
class ContCanvas {
|
|
public $g;
|
|
public $shape,$scale;
|
|
function __construct($xmax=5,$ymax=5,$width=350,$height=350) {
|
|
|
|
$this->g = new CanvasGraph($width,$height);
|
|
$this->scale = new CanvasScale($this->g, 0, $xmax, 0, $ymax);
|
|
$this->shape = new Shape($this->g, $this->scale);
|
|
|
|
//$this->g->SetFrame(true);
|
|
$this->g->SetMargin(2,2,2,2);
|
|
$this->g->SetMarginColor('white@1');
|
|
$this->g->InitFrame();
|
|
}
|
|
|
|
function StrokeGrid() {
|
|
list($xmin,$xmax,$ymin,$ymax) = $this->scale->Get();
|
|
$this->shape->SetColor('gray');
|
|
for( $col=1; $col<$xmax; ++$col ) {
|
|
$this->shape->Line($col, 0, $col, $ymax);
|
|
}
|
|
for( $row=1; $row<$ymax; ++$row ) {
|
|
$this->shape->Line(0, $row, $xmax, $row);
|
|
}
|
|
}
|
|
|
|
function SetDatapoints($datapoints) {
|
|
$ny=count($datapoints);
|
|
$nx=count($datapoints[0]);
|
|
$t = new Text();
|
|
$t->SetFont(FF_ARIAL,FS_NORMAL,8);
|
|
for( $x=0; $x < $nx; ++$x ) {
|
|
for( $y=0; $y < $ny; ++$y ) {
|
|
list($x1,$y1) = $this->scale->Translate($x,$y);
|
|
|
|
if( $datapoints[$y][$x] > 0 )
|
|
$t->SetColor('blue');
|
|
else
|
|
$t->SetColor('black');
|
|
$t->SetFont(FF_ARIAL,FS_BOLD,8);
|
|
$t->Set($datapoints[$y][$x]);
|
|
$t->Stroke($this->g->img,$x1,$y1);
|
|
|
|
$t->SetColor('gray');
|
|
$t->SetFont(FF_ARIAL,FS_NORMAL,8);
|
|
$t->Set("($y,$x)");
|
|
$t->Stroke($this->g->img,$x1+10,$y1);
|
|
|
|
}
|
|
}
|
|
}
|
|
|
|
function DrawLinePolygons($p,$color='red') {
|
|
$this->shape->SetColor($color);
|
|
for ($i = 0 ; $i < count($p) ; $i++) {
|
|
$x1 = $p[$i][0][0]; $y1 = $p[$i][0][1];
|
|
for ($j = 1 ; $j < count($p[$i]) ; $j++) {
|
|
$x2=$p[$i][$j][0]; $y2 = $p[$i][$j][1];
|
|
$this->shape->Line($x1, $y1, $x2, $y2);
|
|
$x1=$x2; $y1=$y2;
|
|
}
|
|
}
|
|
}
|
|
|
|
function Line($x1,$y1,$x2,$y2,$color='red') {
|
|
$this->shape->SetColor($color);
|
|
$this->shape->Line($x1, $y1, $x2, $y2);
|
|
}
|
|
function Polygon($p,$color='blue') {
|
|
$this->shape->SetColor($color);
|
|
$this->shape->Polygon($p);
|
|
}
|
|
|
|
function FilledPolygon($p,$color='lightblue') {
|
|
$this->shape->SetColor($color);
|
|
$this->shape->FilledPolygon($p);
|
|
}
|
|
|
|
function Point($x,$y,$color) {
|
|
list($x1,$y1) = $this->scale->Translate($x, $y);
|
|
$this->shape->SetColor($color);
|
|
$this->g->img->Point($x1,$y1);
|
|
}
|
|
|
|
function Stroke() {
|
|
$this->g->Stroke();
|
|
}
|
|
|
|
}
|
|
|
|
// Calculate the area for a simple polygon. This will not work for
|
|
// non-simple polygons, i.e. self crossing.
|
|
function polygonArea($aX, $aY) {
|
|
$n = count($aX);
|
|
$area = 0 ;
|
|
$j = 0 ;
|
|
for ($i=0; $i < $n; $i++) {
|
|
$j++;
|
|
if ( $j == $n) {
|
|
$j=0;
|
|
}
|
|
$area += ($aX[i]+$aX[j])*($aY[i]-$aY[j]);
|
|
}
|
|
return area*.5;
|
|
}
|
|
|
|
class SingleTestTriangle {
|
|
const contval=5;
|
|
static $maxdepth=2;
|
|
static $cnt=0;
|
|
static $t;
|
|
public $g;
|
|
public $shape,$scale;
|
|
public $cont = array(2,4,5);
|
|
public $contcolors = array('yellow','purple','seagreen','green','lightblue','blue','teal','orange','red','darkred','brown');
|
|
public $dofill=false;
|
|
public $showtriangulation=false,$triangulation_color="lightgray";
|
|
public $showannotation=false;
|
|
public $contlinecolor='black',$showcontlines=true;
|
|
private $labels = array(), $showlabels=false;
|
|
private $labelColor='black',$labelFF=FF_ARIAL,$labelFS=FS_BOLD,$labelFSize=9;
|
|
|
|
function __construct($width,$height,$nx,$ny) {
|
|
$xmax=$nx+0.1;$ymax=$ny+0.1;
|
|
$this->g = new CanvasGraph($width,$height);
|
|
$this->scale = new CanvasScale($this->g, -0.1, $xmax, -0.1, $ymax);
|
|
$this->shape = new Shape($this->g, $this->scale);
|
|
|
|
//$this->g->SetFrame(true);
|
|
$this->g->SetMargin(2,2,2,2);
|
|
$this->g->SetMarginColor('white@1');
|
|
//$this->g->InitFrame();
|
|
|
|
self::$t = new Text();
|
|
self::$t->SetColor('black');
|
|
self::$t->SetFont(FF_ARIAL,FS_BOLD,9);
|
|
self::$t->SetAlign('center','center');
|
|
}
|
|
|
|
function getPlotSize() {
|
|
return array($this->g->img->width,$this->g->img->height);
|
|
}
|
|
|
|
function SetContours($c) {
|
|
$this->cont = $c;
|
|
}
|
|
|
|
function ShowLabels($aFlg=true) {
|
|
$this->showlabels = $aFlg;
|
|
}
|
|
|
|
function ShowLines($aFlg=true) {
|
|
$this->showcontlines=$aFlg;
|
|
}
|
|
|
|
function SetFilled($f=true) {
|
|
$this->dofill = $f;
|
|
}
|
|
|
|
function ShowTriangulation($f=true) {
|
|
$this->showtriangulation = $f;
|
|
}
|
|
|
|
function Stroke() {
|
|
$this->g->Stroke();
|
|
}
|
|
|
|
function FillPolygon($color,&$p) {
|
|
self::$cnt++;
|
|
if( $this->dofill ) {
|
|
$this->shape->SetColor($color);
|
|
$this->shape->FilledPolygon($p);
|
|
}
|
|
if( $this->showtriangulation ) {
|
|
$this->shape->SetColor($this->triangulation_color);
|
|
$this->shape->Polygon($p);
|
|
}
|
|
}
|
|
|
|
function GetNextHigherContourIdx($val) {
|
|
for( $i=0; $i < count($this->cont); ++$i ) {
|
|
if( $val < $this->cont[$i] ) return $i;
|
|
}
|
|
return count($this->cont);
|
|
}
|
|
|
|
function GetContVal($v1) {
|
|
for( $i=0; $i < count($this->cont); ++$i ) {
|
|
if( $this->cont[$i] > $v1 ) {
|
|
return $this->cont[$i];
|
|
}
|
|
}
|
|
die('No contour value is larger or equal than : '.$v1);
|
|
}
|
|
|
|
function GetColor($v) {
|
|
return $this->contcolors[$this->GetNextHigherContourIdx($v)];
|
|
}
|
|
|
|
function storeAnnotation($x1,$y1,$v1,$angle) {
|
|
$this->labels[$this->GetNextHigherContourIdx($v1)][] = array($x1,$y1,$v1,$angle);
|
|
}
|
|
|
|
function labelProx($x1,$y1,$v1) {
|
|
|
|
list($w,$h) = $this->getPlotSize();
|
|
|
|
|
|
if( $x1 < 20 || $x1 > $w-20 )
|
|
return true;
|
|
|
|
if( $y1 < 20 || $y1 > $h-20 )
|
|
return true;
|
|
|
|
if( !isset ($this->labels[$this->GetNextHigherContourIdx($v1)]) ) {
|
|
return false;
|
|
}
|
|
$p = $this->labels[$this->GetNextHigherContourIdx($v1)];
|
|
$n = count($p);
|
|
$d = 999999;
|
|
for ($i = 0 ; $i < $n ; $i++) {
|
|
$xp = $p[$i][0];
|
|
$yp = $p[$i][1];
|
|
$d = min($d, ($x1-$xp)*($x1-$xp) + ($y1-$yp)*($y1-$yp));
|
|
}
|
|
|
|
$limit = $w*$h/9;
|
|
$limit = max(min($limit,20000),3500);
|
|
if( $d < $limit ) return true;
|
|
else return false;
|
|
}
|
|
|
|
function putLabel($x1,$y1,$x2,$y2,$v1) {
|
|
|
|
$angle = 0;
|
|
if( $x2 - $x1 != 0 ) {
|
|
$grad = ($y2-$y1)/($x2-$x1);
|
|
$angle = -(atan($grad) * 180/M_PI);
|
|
self::$t->SetAngle($angle);
|
|
}
|
|
|
|
$x = $this->scale->TranslateX($x1);
|
|
$y = $this->scale->TranslateY($y1);
|
|
if( !$this->labelProx($x, $y, $v1) ) {
|
|
$this->storeAnnotation($x, $y, $v1, $angle);
|
|
}
|
|
}
|
|
|
|
function strokeLabels() {
|
|
$t = new Text();
|
|
$t->SetColor($this->labelColor);
|
|
$t->SetFont($this->labelFF,$this->labelFS,$this->labelFSize);
|
|
$t->SetAlign('center','center');
|
|
|
|
foreach ($this->labels as $cont_idx => $pos) {
|
|
if( $cont_idx >= 10 ) return;
|
|
foreach ($pos as $idx => $coord) {
|
|
$t->Set( sprintf("%.1f",$coord[2]) );
|
|
$t->SetAngle($coord[3]);
|
|
$t->Stroke($this->g->img,$coord[0],$coord[1]);
|
|
}
|
|
}
|
|
}
|
|
|
|
function annotate($x1,$y1,$x2,$y2,$x1p,$y1p,$v1,$v2,$v1p) {
|
|
if( !$this->showannotation ) return;
|
|
/*
|
|
$this->g->img->SetColor('green');
|
|
$this->g->img->FilledCircle($this->scale->TranslateX($x1),$this->scale->TranslateY($y1), 4);
|
|
$this->g->img->FilledCircle($this->scale->TranslateX($x2),$this->scale->TranslateY($y2), 4);
|
|
|
|
$this->g->img->SetColor('red');
|
|
$this->g->img->FilledCircle($this->scale->TranslateX($x1p),$this->scale->TranslateY($y1p), 4);
|
|
*/
|
|
//self::$t->Set(sprintf("%.1f",$v1,$this->VC($v1)));
|
|
//self::$t->Stroke($this->g->img,$this->scale->TranslateX($x1),$this->scale->TranslateY($y1));
|
|
//self::$t->Set(sprintf("%.1f",$v2,$this->VC($v2)));
|
|
//self::$t->Stroke($this->g->img,$this->scale->TranslateX($x2),$this->scale->TranslateY($y2));
|
|
|
|
$x = $this->scale->TranslateX($x1p);
|
|
$y = $this->scale->TranslateY($y1p);
|
|
if( !$this->labelProx($x, $y, $v1p) ) {
|
|
$this->storeAnnotation($x, $y, $v1p);
|
|
self::$t->Set(sprintf("%.1f",$v1p,$this->VC($v1p)));
|
|
self::$t->Stroke($this->g->img,$x,$y);
|
|
}
|
|
}
|
|
|
|
function Pertubate(&$v1,&$v2,&$v3,&$v4) {
|
|
$pert = 0.9999;
|
|
$n = count($this->cont);
|
|
for($i=0; $i < $n; ++$i) {
|
|
if( $v1==$this->cont[$i] ) {
|
|
$v1 *= $pert;
|
|
break;
|
|
}
|
|
}
|
|
for($i=0; $i < $n; ++$i) {
|
|
if( $v2==$this->cont[$i] ) {
|
|
$v2 *= $pert;
|
|
break;
|
|
}
|
|
}
|
|
for($i=0; $i < $n; ++$i) {
|
|
if( $v3==$this->cont[$i] ) {
|
|
$v3 *= $pert;
|
|
break;
|
|
}
|
|
}
|
|
for($i=0; $i < $n; ++$i) {
|
|
if( $v4==$this->cont[$i] ) {
|
|
$v4 *= $pert;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
function interp2($x1,$y1,$x2,$y2,$v1,$v2) {
|
|
$cv = $this->GetContVal(min($v1,$v2));
|
|
$alpha = ($v1-$cv)/($v1-$v2);
|
|
$x1p = $x1*(1-$alpha) + $x2*$alpha;
|
|
$y1p = $y1*(1-$alpha) + $y2*$alpha;
|
|
$v1p = $v1 + $alpha*($v2-$v1);
|
|
return array($x1p,$y1p,$v1p);
|
|
}
|
|
|
|
function RectFill($v1,$v2,$v3,$v4,$x1,$y1,$x2,$y2,$x3,$y3,$x4,$y4,$depth) {
|
|
if( $depth >= self::$maxdepth ) {
|
|
// Abort and just appoximate the color of this area
|
|
// with the average of the three values
|
|
$color = $this->GetColor(($v1+$v2+$v3+$v4)/4);
|
|
$p = array($x1, $y1, $x2, $y2, $x3, $y3, $x4, $y4, $x1, $y1);
|
|
$this->FillPolygon($color,$p) ;
|
|
}
|
|
else {
|
|
|
|
$this->Pertubate($v1,$v2,$v3,$v4);
|
|
|
|
$fcnt = 0 ;
|
|
$vv1 = $this->GetNextHigherContourIdx($v1);
|
|
$vv2 = $this->GetNextHigherContourIdx($v2);
|
|
$vv3 = $this->GetNextHigherContourIdx($v3);
|
|
$vv4 = $this->GetNextHigherContourIdx($v4);
|
|
$eps = 0.0001;
|
|
|
|
if( $vv1 == $vv2 && $vv2 == $vv3 && $vv3 == $vv4 ) {
|
|
$color = $this->GetColor($v1);
|
|
$p = array($x1, $y1, $x2, $y2, $x3, $y3, $x4, $y4, $x1, $y1);
|
|
$this->FillPolygon($color,$p) ;
|
|
}
|
|
else {
|
|
|
|
$dv1 = abs($vv1-$vv2);
|
|
$dv2 = abs($vv2-$vv3);
|
|
$dv3 = abs($vv3-$vv4);
|
|
$dv4 = abs($vv1-$vv4);
|
|
|
|
if( $dv1 == 1 ) {
|
|
list($x1p,$y1p,$v1p) = $this->interp2($x1,$y1,$x2,$y2,$v1,$v2);
|
|
$fcnt++;
|
|
}
|
|
|
|
if( $dv2 == 1 ) {
|
|
list($x2p,$y2p,$v2p) = $this->interp2($x2,$y2,$x3,$y3,$v2,$v3);
|
|
$fcnt++;
|
|
}
|
|
|
|
if( $dv3 == 1 ) {
|
|
list($x3p,$y3p,$v3p) = $this->interp2($x3,$y3,$x4,$y4,$v3,$v4);
|
|
$fcnt++;
|
|
}
|
|
|
|
if( $dv4 == 1 ) {
|
|
list($x4p,$y4p,$v4p) = $this->interp2($x4,$y4,$x1,$y1,$v4,$v1);
|
|
$fcnt++;
|
|
}
|
|
|
|
$totdv = $dv1 + $dv2 + $dv3 + $dv4 ;
|
|
|
|
if( ($fcnt == 2 && $totdv==2) || ($fcnt == 4 && $totdv==4) ) {
|
|
|
|
if( $fcnt == 2 && $totdv==2 ) {
|
|
|
|
if( $dv1 == 1 && $dv2 == 1) {
|
|
$color1 = $this->GetColor($v2);
|
|
$p1 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x1p,$y1p);
|
|
$color2 = $this->GetColor($v4);
|
|
$p2 = array($x1,$y1,$x1p,$y1p,$x2p,$y2p,$x3,$y3,$x4,$y4,$x1,$y1);
|
|
|
|
$color = $this->GetColor($v1p);
|
|
$p = array($x1p,$y1p,$x2p,$y2p);
|
|
$v = $v1p;
|
|
}
|
|
elseif( $dv1 == 1 && $dv3 == 1 ) {
|
|
$color1 = $this->GetColor($v2);
|
|
$p1 = array($x1p,$y1p,$x2,$y2,$x3,$y3,$x3p,$y3p,$x1p,$y1p);
|
|
$color2 = $this->GetColor($v4);
|
|
$p2 = array($x1,$y1,$x1p,$y1p,$x3p,$y3p,$x4,$y4,$x1,$y1);
|
|
|
|
$color = $this->GetColor($v1p);
|
|
$p = array($x1p,$y1p,$x3p,$y3p);
|
|
$v = $v1p;
|
|
}
|
|
elseif( $dv1 == 1 && $dv4 == 1 ) {
|
|
$color1 = $this->GetColor($v1);
|
|
$p1 = array($x1,$y1,$x1p,$y1p,$x4p,$y4p,$x1,$y1);
|
|
$color2 = $this->GetColor($v3);
|
|
$p2 = array($x1p,$y1p,$x2,$y2,$x3,$y3,$x4,$y4,$x4p,$y4p,$x1p,$y1p);
|
|
|
|
$color = $this->GetColor($v1p);
|
|
$p = array($x1p,$y1p,$x4p,$y4p);
|
|
$v = $v1p;
|
|
}
|
|
elseif( $dv2 == 1 && $dv4 == 1 ) {
|
|
$color1 = $this->GetColor($v1);
|
|
$p1 = array($x1,$y1,$x2,$y2,$x2p,$y2p,$x4p,$y4p,$x1,$y1);
|
|
$color2 = $this->GetColor($v3);
|
|
$p2 = array($x4p,$y4p,$x2p,$y2p,$x3,$y3,$x4,$y4,$x4p,$y4p);
|
|
|
|
$color = $this->GetColor($v2p);
|
|
$p = array($x2p,$y2p,$x4p,$y4p);
|
|
$v = $v2p;
|
|
}
|
|
elseif( $dv2 == 1 && $dv3 == 1 ) {
|
|
$color1 = $this->GetColor($v1);
|
|
$p1 = array($x1,$y1,$x2,$y2,$x2p,$y2p,$x3p,$y3p,$x4,$y4,$x1,$y1);
|
|
$color2 = $this->GetColor($v3);
|
|
$p2 = array($x2p,$y2p,$x3,$y3,$x3p,$y3p,$x2p,$y2p);
|
|
|
|
$color = $this->GetColor($v2p);
|
|
$p = array($x2p,$y2p,$x3p,$y3p);
|
|
$v = $v2p;
|
|
}
|
|
elseif( $dv3 == 1 && $dv4 == 1 ) {
|
|
$color1 = $this->GetColor($v1);
|
|
$p1 = array($x1,$y1,$x2,$y2,$x3,$y3,$x3p,$y3p,$x4p,$y4p,$x1,$y1);
|
|
$color2 = $this->GetColor($v4);
|
|
$p2 = array($x4p,$y4p,$x3p,$y3p,$x4,$y4,$x4p,$y4p);
|
|
|
|
$color = $this->GetColor($v4p);
|
|
$p = array($x4p,$y4p,$x3p,$y3p);
|
|
$v = $v4p;
|
|
}
|
|
|
|
$this->FillPolygon($color1,$p1);
|
|
$this->FillPolygon($color2,$p2);
|
|
|
|
if( $this->showcontlines ) {
|
|
if( $this->dofill ) {
|
|
$this->shape->SetColor($this->contlinecolor);
|
|
}
|
|
else {
|
|
$this->shape->SetColor($color);
|
|
}
|
|
$this->shape->Line($p[0],$p[1],$p[2],$p[3]);
|
|
}
|
|
if( $this->showlabels ) {
|
|
$this->putLabel( ($p[0]+$p[2])/2, ($p[1]+$p[3])/2, $p[2],$p[3] , $v);
|
|
}
|
|
}
|
|
elseif( $fcnt == 4 && $totdv==4 ) {
|
|
$vc = ($v1+$v2+$v3+$v4)/4;
|
|
|
|
if( $v1p == $v2p && $v2p == $v3p && $v3p == $v4p ) {
|
|
// Four edge crossings (saddle point) of the same contour
|
|
// so we first need to
|
|
// find out how the saddle is crossing "/" or "\"
|
|
|
|
if( $this->GetNextHigherContourIdx($vc) == $this->GetNextHigherContourIdx($v1) ) {
|
|
// "\"
|
|
$color1 = $this->GetColor($v1);
|
|
$p1 = array($x1,$y1,$x1p,$y1p,$x4p,$y4p,$x1,$y1);
|
|
|
|
$color2 = $this->GetColor($v2);
|
|
$p2 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x3p,$y3p,$x4,$y4,$x4p,$y4p,$x1p,$y1p);
|
|
|
|
$color3 = $color1;
|
|
$p3 = array($x2p,$y2p,$x3,$y3,$x3p,$y3p,$x2p,$y2p);
|
|
|
|
$colorl1 = $this->GetColor($v1p);
|
|
$pl1 = array($x1p,$y1p,$x4p,$y4p);
|
|
$colorl2 = $this->GetColor($v2p);
|
|
$pl2 = array($x2p,$y2p,$x3p,$y3p);
|
|
$vl1 = $v1p; $vl2 = $v2p;
|
|
|
|
}
|
|
else {
|
|
// "/"
|
|
$color1 = $this->GetColor($v2);
|
|
$p1 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x1p,$y1p);
|
|
|
|
$color2 = $this->GetColor($v3);
|
|
$p2 = array($x1p,$y1p,$x2p,$y2p,$x3,$y3,$x3p,$y3p,$x4p,$y4p,$x1,$y1,$x1p,$y1p);
|
|
|
|
$color3 = $color1;
|
|
$p3 = array($x4p,$y4p,$x3p,$y3p,$x4,$y4,$x4p,$y4p);
|
|
|
|
$colorl1 = $this->GetColor($v1p);
|
|
$pl1 = array($x1p,$y1p,$x2p,$y2p);
|
|
$colorl2 = $this->GetColor($v4p);
|
|
$pl2 = array($x4p,$y4p,$x3p,$y3p);
|
|
$vl1 = $v1p; $vl2 = $v4p;
|
|
}
|
|
}
|
|
else {
|
|
// There are two different contours crossing so we need to find
|
|
// out which belongs to which
|
|
if( $v1p == $v2p ) {
|
|
// "/"
|
|
$color1 = $this->GetColor($v2);
|
|
$p1 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x1p,$y1p);
|
|
|
|
$color2 = $this->GetColor($v3);
|
|
$p2 = array($x1p,$y1p,$x2p,$y2p,$x3,$y3,$x3p,$y3p,$x4p,$y4p,$x1,$y1,$x1p,$y1p);
|
|
|
|
$color3 = $this->GetColor($v4);
|
|
$p3 = array($x4p,$y4p,$x3p,$y3p,$x4,$y4,$x4p,$y4p);
|
|
|
|
$colorl1 = $this->GetColor($v1p);
|
|
$pl1 = array($x1p,$y1p,$x2p,$y2p);
|
|
$colorl2 = $this->GetColor($v4p);
|
|
$pl2 = array($x4p,$y4p,$x3p,$y3p);
|
|
$vl1 = $v1p; $vl2 = $v4p;
|
|
}
|
|
else { //( $v1p == $v4p )
|
|
// "\"
|
|
$color1 = $this->GetColor($v1);
|
|
$p1 = array($x1,$y1,$x1p,$y1p,$x4p,$y4p,$x1,$y1);
|
|
|
|
$color2 = $this->GetColor($v2);
|
|
$p2 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x3p,$y3p,$x4,$y4,$x4p,$y4p,$x1p,$y1p);
|
|
|
|
$color3 = $this->GetColor($v3);
|
|
$p3 = array($x2p,$y2p,$x3,$y3,$x3p,$y3p,$x2p,$y2p);
|
|
|
|
$colorl1 = $this->GetColor($v1p);
|
|
$pl1 = array($x1p,$y1p,$x4p,$y4p);
|
|
$colorl2 = $this->GetColor($v2p);
|
|
$pl2 = array($x2p,$y2p,$x3p,$y3p);
|
|
$vl1 = $v1p; $vl2 = $v2p;
|
|
}
|
|
}
|
|
$this->FillPolygon($color1,$p1);
|
|
$this->FillPolygon($color2,$p2);
|
|
$this->FillPolygon($color3,$p3);
|
|
|
|
if( $this->showcontlines ) {
|
|
if( $this->dofill ) {
|
|
$this->shape->SetColor($this->contlinecolor);
|
|
$this->shape->Line($pl1[0],$pl1[1],$pl1[2],$pl1[3]);
|
|
$this->shape->Line($pl2[0],$pl2[1],$pl2[2],$pl2[3]);
|
|
}
|
|
else {
|
|
$this->shape->SetColor($colorl1);
|
|
$this->shape->Line($pl1[0],$pl1[1],$pl1[2],$pl1[3]);
|
|
$this->shape->SetColor($colorl2);
|
|
$this->shape->Line($pl2[0],$pl2[1],$pl2[2],$pl2[3]);
|
|
}
|
|
}
|
|
if( $this->showlabels ) {
|
|
$this->putLabel( ($pl1[0]+$pl1[2])/2, ($pl1[1]+$pl1[3])/2, $pl1[2], $pl1[3], $vl1);
|
|
$this->putLabel( ($pl2[0]+$pl2[2])/2, ($pl2[1]+$pl2[3])/2, $pl2[2], $pl2[3],$vl2);
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
$vc = ($v1+$v2+$v3+$v4)/4;
|
|
$xc = ($x1+$x4)/2;
|
|
$yc = ($y1+$y2)/2;
|
|
|
|
// Top left
|
|
$this->RectFill(($v1+$v2)/2, $v2, ($v2+$v3)/2, $vc,
|
|
$x1,$yc, $x2,$y2, $xc,$y2, $xc,$yc, $depth+1);
|
|
// Top right
|
|
$this->RectFill($vc, ($v2+$v3)/2, $v3, ($v3+$v4)/2,
|
|
$xc,$yc, $xc,$y2, $x3,$y3, $x3,$yc, $depth+1);
|
|
|
|
// Bottom left
|
|
$this->RectFill($v1, ($v1+$v2)/2, $vc, ($v1+$v4)/2,
|
|
$x1,$y1, $x1,$yc, $xc,$yc, $xc,$y4, $depth+1);
|
|
|
|
// Bottom right
|
|
$this->RectFill(($v1+$v4)/2, $vc, ($v3+$v4)/2, $v4,
|
|
$xc,$y1, $xc,$yc, $x3,$yc, $x4,$y4, $depth+1);
|
|
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
function TriFill($v1,$v2,$v3,$x1,$y1,$x2,$y2,$x3,$y3,$depth) {
|
|
if( $depth >= self::$maxdepth ) {
|
|
// Abort and just appoximate the color of this area
|
|
// with the average of the three values
|
|
$color = $this->GetColor(($v1+$v2+$v3)/3);
|
|
$p = array($x1, $y1, $x2, $y2, $x3, $y3, $x1, $y1);
|
|
$this->FillPolygon($color,$p) ;
|
|
}
|
|
else {
|
|
// In order to avoid some real unpleasentness in case a vertice is exactly
|
|
// the same value as a contour we pertuberate them so that we do not end up
|
|
// in udefined situation. This will only affect the calculations and not the
|
|
// visual appearance
|
|
|
|
$dummy=0;
|
|
$this->Pertubate($v1,$v2,$v3,$dummy);
|
|
|
|
$fcnt = 0 ;
|
|
$vv1 = $this->GetNextHigherContourIdx($v1);
|
|
$vv2 = $this->GetNextHigherContourIdx($v2);
|
|
$vv3 = $this->GetNextHigherContourIdx($v3);
|
|
$eps = 0.0001;
|
|
|
|
if( $vv1 == $vv2 && $vv2 == $vv3 ) {
|
|
$color = $this->GetColor($v1);
|
|
$p = array($x1, $y1, $x2, $y2, $x3, $y3, $x1, $y1);
|
|
$this->FillPolygon($color,$p) ;
|
|
}
|
|
else {
|
|
$dv1 = abs($vv1-$vv2);
|
|
$dv2 = abs($vv2-$vv3);
|
|
$dv3 = abs($vv1-$vv3);
|
|
|
|
if( $dv1 == 1 ) {
|
|
list($x1p,$y1p,$v1p) = $this->interp2($x1,$y1,$x2,$y2,$v1,$v2);
|
|
$fcnt++;
|
|
}
|
|
else {
|
|
$x1p = ($x1+$x2)/2;
|
|
$y1p = ($y1+$y2)/2;
|
|
$v1p = ($v1+$v2)/2;
|
|
}
|
|
|
|
if( $dv2 == 1 ) {
|
|
list($x2p,$y2p,$v2p) = $this->interp2($x2,$y2,$x3,$y3,$v2,$v3);
|
|
$fcnt++;
|
|
}
|
|
else {
|
|
$x2p = ($x2+$x3)/2;
|
|
$y2p = ($y2+$y3)/2;
|
|
$v2p = ($v2+$v3)/2;
|
|
}
|
|
|
|
if( $dv3 == 1 ) {
|
|
list($x3p,$y3p,$v3p) = $this->interp2($x3,$y3,$x1,$y1,$v3,$v1);
|
|
$fcnt++;
|
|
}
|
|
else {
|
|
$x3p = ($x3+$x1)/2;
|
|
$y3p = ($y3+$y1)/2;
|
|
$v3p = ($v3+$v1)/2;
|
|
}
|
|
|
|
if( $fcnt == 2 &&
|
|
((abs($v1p-$v2p) < $eps && $dv1 ==1 && $dv2==1 ) ||
|
|
(abs($v1p-$v3p) < $eps && $dv1 ==1 && $dv3==1 ) ||
|
|
(abs($v2p-$v3p) < $eps && $dv2 ==1 && $dv3==1 )) ) {
|
|
|
|
// This means that the contour line crosses exactly two sides
|
|
// and that the values of each vertice is such that only this
|
|
// contour line will cross this section.
|
|
// We can now be smart. The cotour line will simply divide the
|
|
// area in two polygons that we can fill and then return. There is no
|
|
// need to recurse.
|
|
|
|
// First find out which two sides the contour is crossing
|
|
if( abs($v1p-$v2p) < $eps ) {
|
|
$p4 = array($x1,$y1,$x1p,$y1p,$x2p,$y2p,$x3,$y3,$x1,$y1);
|
|
$color4 = $this->GetColor($v1);
|
|
|
|
$p3 = array($x1p,$y1p,$x2,$y2,$x2p,$y2p,$x1p,$y1p);
|
|
$color3 = $this->GetColor($v2);
|
|
|
|
$p = array($x1p,$y1p,$x2p,$y2p);
|
|
$color = $this->GetColor($v1p);
|
|
$v = $v1p;
|
|
}
|
|
elseif( abs($v1p-$v3p) < $eps ) {
|
|
$p4 = array($x1p,$y1p,$x2,$y2,$x3,$y3,$x3p,$y3p,$x1p,$y1p);
|
|
$color4 = $this->GetColor($v2);
|
|
|
|
$p3 = array($x1,$y1,$x1p,$y1p,$x3p,$y3p,$x1,$y1);
|
|
$color3 = $this->GetColor($v1);
|
|
|
|
$p = array($x1p,$y1p,$x3p,$y3p);
|
|
$color = $this->GetColor($v1p);
|
|
$v = $v1p;
|
|
}
|
|
else {
|
|
$p4 = array($x1,$y1,$x2,$y2,$x2p,$y2p,$x3p,$y3p,$x1,$y1);
|
|
$color4 = $this->GetColor($v2);
|
|
|
|
$p3 = array($x3p,$y3p,$x2p,$y2p,$x3,$y3,$x3p,$y3p);
|
|
$color3 = $this->GetColor($v3);
|
|
|
|
$p = array($x3p,$y3p,$x2p,$y2p);
|
|
$color = $this->GetColor($v3p);
|
|
$v = $v3p;
|
|
}
|
|
$this->FillPolygon($color4,$p4);
|
|
$this->FillPolygon($color3,$p3);
|
|
|
|
if( $this->showcontlines ) {
|
|
if( $this->dofill ) {
|
|
$this->shape->SetColor($this->contlinecolor);
|
|
}
|
|
else {
|
|
$this->shape->SetColor($color);
|
|
}
|
|
$this->shape->Line($p[0],$p[1],$p[2],$p[3]);
|
|
}
|
|
if( $this->showlabels ) {
|
|
$this->putLabel( ($p[0]+$p[2])/2, ($p[1]+$p[3])/2, $p[2], $p[3], $v);
|
|
}
|
|
}
|
|
else {
|
|
$this->TriFill($v1, $v1p, $v3p, $x1, $y1, $x1p, $y1p, $x3p, $y3p, $depth+1);
|
|
$this->TriFill($v1p, $v2, $v2p, $x1p, $y1p, $x2, $y2, $x2p, $y2p, $depth+1);
|
|
$this->TriFill($v3p, $v1p, $v2p, $x3p, $y3p, $x1p, $y1p, $x2p, $y2p, $depth+1);
|
|
$this->TriFill($v3p, $v2p, $v3, $x3p, $y3p, $x2p, $y2p, $x3, $y3, $depth+1);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
function Fill($v1,$v2,$v3,$maxdepth) {
|
|
$x1=0; $y1=1;
|
|
$x2=1; $y2=0;
|
|
$x3=1; $y3=1;
|
|
self::$maxdepth = $maxdepth;
|
|
$this->TriFill($v1, $v2, $v3, $x1, $y1, $x2, $y2, $x3, $y3, 0);
|
|
}
|
|
|
|
function Fillmesh($meshdata,$maxdepth,$method='tri') {
|
|
$nx = count($meshdata[0]);
|
|
$ny = count($meshdata);
|
|
self::$maxdepth = $maxdepth;
|
|
for( $x=0; $x < $nx-1; ++$x ) {
|
|
for( $y=0; $y < $ny-1; ++$y ) {
|
|
$v1 = $meshdata[$y][$x];
|
|
$v2 = $meshdata[$y][$x+1];
|
|
$v3 = $meshdata[$y+1][$x+1];
|
|
$v4 = $meshdata[$y+1][$x];
|
|
|
|
if( $method == 'tri' ) {
|
|
// Fill upper and lower triangle
|
|
$this->TriFill($v4, $v1, $v2, $x, $y+1, $x, $y, $x+1, $y, 0);
|
|
$this->TriFill($v4, $v2, $v3, $x, $y+1, $x+1, $y, $x+1, $y+1, 0);
|
|
}
|
|
else {
|
|
$this->RectFill($v4, $v1, $v2, $v3, $x, $y+1, $x, $y, $x+1, $y, $x+1, $y+1, 0);
|
|
}
|
|
}
|
|
}
|
|
if( $this->showlabels ) {
|
|
$this->strokeLabels();
|
|
}
|
|
}
|
|
}
|
|
|
|
$meshdata = array(
|
|
array (12,12,10,10),
|
|
array (10,10,8,14),
|
|
array (7,7,13,17),
|
|
array (4,5,8,12),
|
|
array (10,8,7,8));
|
|
|
|
$tt = new SingleTestTriangle(400,400,count($meshdata[0])-1,count($meshdata)-1);
|
|
$tt->SetContours(array(4.7, 6.0, 7.2, 8.6, 9.9, 11.2, 12.5, 13.8, 15.1, 16.4));
|
|
$tt->SetFilled(true);
|
|
|
|
//$tt->ShowTriangulation(true);
|
|
$tt->ShowLines(true);
|
|
|
|
//$tt->ShowLabels(true);
|
|
$tt->Fillmesh($meshdata, 8, 'rect');
|
|
|
|
//$tt->Fill(4.0,3.0,7.0, 4);
|
|
//$tt->Fill(7,4,1,5);
|
|
//$tt->Fill(1,7,4,5);
|
|
|
|
$tt->Stroke();
|
|
|
|
?>
|