/trunk/composants/statistiques/lib/contour_dev/tri-quad.php |
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New file |
0,0 → 1,790 |
<?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(); |
?> |
/trunk/composants/statistiques/lib/contour_dev/findpolygon.php |
---|
New file |
0,0 → 1,798 |
<?php |
require_once '../jpgraph.php'; |
require_once '../jpgraph_canvas.php'; |
require_once '../jpgraph_canvtools.php'; |
/* |
* To change this template, choose Tools | Templates |
* and open the template in the editor. |
*/ |
/** |
* Description of test_findpolygon |
* |
* @author ljp |
*/ |
class Findpolygon { |
private $nbrContours=-1; |
public $contourCoord=array(); |
private $scale = array(0,6,0,8); |
function flattenEdges($p) { |
$fp=array(); |
for ($i = 0 ; $i < count($p) ; $i++) { |
$fp[] = $p[$i][0]; |
$fp[] = $p[$i][1]; |
} |
return $fp; |
} |
function SetupTestData() { |
// for($i=0; $i<count($this->contourCoord[0]); ++$i) { |
// echo '('.$this->contourCoord[0][$i][0][0].','.$this->contourCoord[0][$i][0][1].') -> '. |
// '('.$this->contourCoord[0][$i][1][0].','.$this->contourCoord[0][$i][1][1].")\n"; |
// } |
// |
$c=0; |
$p[$c] = array(0.6,1, 1,0.5, 2,0.5, 3,0.5, 3.5,1, 3.5,2, 3,2.5, 2,2.5, 1,2.5, 0.5,2, 0.6,1); |
$c++; |
$p[$c] = array(6,0.5, 5.5,1, 5.5,2, 6,2.5); |
$this->nbrContours = $c+1; |
for ($c = 0 ; $c < count($p) ; $c++) { |
$n=count($p[$c]); |
$this->contourCoord[$c][0] = array(array($p[$c][0],$p[$c][1]),array($p[$c][2],$p[$c][3])); |
$k=1; |
for ($i = 0; $i < ($n-4)/2; $i++, $k++) { |
$this->contourCoord[$c][$k] = array($this->contourCoord[$c][$k-1][1], array($p[$c][2*$k+2],$p[$c][2*$k+1+2])); |
} |
// Swap edges order at random |
$n = count($this->contourCoord[$c]); |
for($i=0; $i < floor($n/2); ++$i) { |
$swap1 = rand(0,$n-1); |
$t = $this->contourCoord[$c][$swap1]; |
while( $swap1 == ($swap2 = rand(0,$n-1)) ) |
; |
$this->contourCoord[$c][$swap1] = $this->contourCoord[$c][$swap2]; |
$this->contourCoord[$c][$swap2] = $t; |
} |
// Swap vector direction on 1/3 of the edges |
for ($i = 0 ; $i < floor(count($this->contourCoord[$c])/3) ; $i++) { |
$e = rand(0, count($this->contourCoord[$c])-1); |
$edge = $this->contourCoord[$c][$e]; |
$v1 = $edge[0]; $v2 = $edge[1]; |
$this->contourCoord[$c][$e][0] = $v2; |
$this->contourCoord[$c][$e][1] = $v1; |
} |
} |
$pp = array(); |
for($j=0; $j < count($p); ++$j ) { |
for( $i=0; $i < count($p[$j])/2; ++$i ) { |
$pp[$j][$i] = array($p[$j][2*$i],$p[$j][2*$i+1]); |
} |
} |
return $pp; |
} |
function p_edges($v) { |
for ($i = 0 ; $i < count($v) ; $i++) { |
echo "(".$v[$i][0][0].",".$v[$i][0][1].") -> (".$v[$i][1][0].",".$v[$i][1][1].")\n"; |
} |
echo "\n"; |
} |
function CompareCyclic($a,$b,$forward=true) { |
// We assume disjoint vertices and if last==first this just means |
// that the polygon is closed. For this comparison it must be unique |
// elements |
if( $a[count($a)-1] == $a[0] ) { |
array_pop($a); |
} |
if( $b[count($b)-1] == $b[0] ) { |
array_pop($b); |
} |
$n1 = count($a); $n2 = count($b); |
if( $n1 != $n2 ) |
return false; |
$i=0; |
while( ($i < $n2) && ($a[0] != $b[$i]) ) |
++$i; |
if( $i >= $n2 ) |
return false; |
$j=0; |
if( $forward ) { |
while( ($j < $n1) && ($a[$j] == $b[$i]) ) { |
$i = ($i + 1) % $n2; |
++$j; |
} |
} |
else { |
while( ($j < $n1) && ($a[$j] == $b[$i]) ) { |
--$i; |
if( $i < 0 ) { |
$i = $n2-1; |
} |
++$j; |
} |
} |
return $j >= $n1; |
} |
function dbg($s) { |
// echo $s."\n"; |
} |
function IsVerticeOnBorder($x1,$y1) { |
// Check if the vertice lies on any of the four border |
if( $x1==$this->scale[0] || $x1==$this->scale[1] ) { |
return true; |
} |
if( $y1==$this->scale[2] || $y1==$this->scale[3] ) { |
return true; |
} |
return false; |
} |
function FindPolygons($debug=false) { |
$pol = 0; |
for ($c = 0; $c < $this->nbrContours; $c++) { |
$this->dbg("\n** Searching polygon chain $c ... "); |
$this->dbg("------------------------------------------\n"); |
$edges = $this->contourCoord[$c]; |
while( count($edges) > 0 ) { |
$edge = array_shift($edges); |
list($x1,$y1) = $edge[0]; |
list($x2,$y2) = $edge[1]; |
$polygons[$pol]=array( |
array($x1,$y1),array($x2,$y2) |
); |
$this->dbg("Searching on second vertice."); |
$found=false; |
if( ! $this->IsVerticeOnBorder($x2,$y2) ) { |
do { |
$this->dbg(" --Searching on edge: ($x1,$y1)->($x2,$y2)"); |
$found=false; |
$nn = count($edges); |
for( $i=0; $i < $nn && !$found; ++$i ) { |
$edge = $edges[$i]; |
if( $found = ($x2==$edge[0][0] && $y2==$edge[0][1]) ) { |
$polygons[$pol][] = array($edge[1][0],$edge[1][1]); |
$x1 = $x2; $y1 = $y2; |
$x2 = $edge[1][0]; $y2 = $edge[1][1]; |
} |
elseif( $found = ($x2==$edge[1][0] && $y2==$edge[1][1]) ) { |
$polygons[$pol][] = array($edge[0][0],$edge[0][1]); |
$x1 = $x2; $y1 = $y2; |
$x2 = $edge[0][0]; $y2 = $edge[0][1]; |
} |
if( $found ) { |
$this->dbg(" --Found next edge: [i=$i], (%,%) -> ($x2,$y2)"); |
unset($edges[$i]); |
$edges = array_values($edges); |
} |
} |
} while( $found ); |
} |
if( !$found && count($edges)>0 ) { |
$this->dbg("Searching on first vertice."); |
list($x1,$y1) = $polygons[$pol][0]; |
list($x2,$y2) = $polygons[$pol][1]; |
if( ! $this->IsVerticeOnBorder($x1,$y1) ) { |
do { |
$this->dbg(" --Searching on edge: ($x1,$y1)->($x2,$y2)"); |
$found=false; |
$nn = count($edges); |
for( $i=0; $i < $nn && !$found; ++$i ) { |
$edge = $edges[$i]; |
if( $found = ($x1==$edge[0][0] && $y1==$edge[0][1]) ) { |
array_unshift($polygons[$pol],array($edge[1][0],$edge[1][1])); |
$x2 = $x1; $y2 = $y1; |
$x1 = $edge[1][0]; $y1 = $edge[1][1]; |
} |
elseif( $found = ($x1==$edge[1][0] && $y1==$edge[1][1]) ) { |
array_unshift($polygons[$pol],array($edge[0][0],$edge[0][1])); |
$x2 = $x1; $y2 = $y1; |
$x1 = $edge[0][0]; $y1 = $edge[0][1]; |
} |
if( $found ) { |
$this->dbg(" --Found next edge: [i=$i], ($x1,$y1) -> (%,%)"); |
unset($edges[$i]); |
$edges = array_values($edges); |
} |
} |
} while( $found ); |
} |
} |
$pol++; |
} |
} |
return $polygons; |
} |
} |
define('HORIZ_EDGE',0); |
define('VERT_EDGE',1); |
class FillGridRect { |
private $edges,$dataPoints,$colors,$isoBars; |
private $invert=false; |
function __construct(&$edges,&$dataPoints,$isoBars,$colors) { |
$this->edges = $edges; |
$this->dataPoints = $dataPoints; |
$this->colors = $colors; |
$this->isoBars = $isoBars; |
} |
function GetIsobarColor($val) { |
for ($i = 0 ; $i < count($this->isoBars) ; $i++) { |
if( $val <= $this->isoBars[$i] ) { |
return $this->colors[$i]; |
} |
} |
return $this->colors[$i]; // The color for all values above the highest isobar |
} |
function GetIsobarVal($a,$b) { |
// Get the isobar that is between the values a and b |
// If there are more isobars then return the one with lowest index |
if( $b < $a ) { |
$t=$a; $a=$b; $b=$t; |
} |
$i = 0 ; |
$n = count($this->isoBars); |
while( $i < $n && $this->isoBars[$i] < $a ) { |
++$i; |
} |
if( $i >= $n ) |
die("Internal error. Cannot find isobar values for ($a,$b)"); |
return $this->isoBars[$i]; |
} |
function getCrossingCoord($aRow,$aCol,$aEdgeDir,$aIsobarVal) { |
// In order to avoid numerical problem when two vertices are very close |
// we have to check and avoid dividing by close to zero denumerator. |
if( $aEdgeDir == HORIZ_EDGE ) { |
$d = abs($this->dataPoints[$aRow][$aCol] - $this->dataPoints[$aRow][$aCol+1]); |
if( $d > 0.001 ) { |
$xcoord = $aCol + abs($aIsobarVal - $this->dataPoints[$aRow][$aCol]) / $d; |
} |
else { |
$xcoord = $aCol; |
} |
$ycoord = $aRow; |
} |
else { |
$d = abs($this->dataPoints[$aRow][$aCol] - $this->dataPoints[$aRow+1][$aCol]); |
if( $d > 0.001 ) { |
$ycoord = $aRow + abs($aIsobarVal - $this->dataPoints[$aRow][$aCol]) / $d; |
} |
else { |
$ycoord = $aRow; |
} |
$xcoord = $aCol; |
} |
if( $this->invert ) { |
$ycoord = $this->nbrRows-1 - $ycoord; |
} |
return array($xcoord,$ycoord); |
} |
function Fill(ContCanvas $canvas) { |
$nx_vertices = count($this->dataPoints[0]); |
$ny_vertices = count($this->dataPoints); |
// Loop through all squares in the grid |
for($col=0; $col < $nx_vertices-1; ++$col) { |
for($row=0; $row < $ny_vertices-1; ++$row) { |
$n = 0;$quad_edges=array(); |
if ( $this->edges[VERT_EDGE][$row][$col] ) $quad_edges[$n++] = array($row, $col, VERT_EDGE); |
if ( $this->edges[VERT_EDGE][$row][$col+1] ) $quad_edges[$n++] = array($row, $col+1,VERT_EDGE); |
if ( $this->edges[HORIZ_EDGE][$row][$col] ) $quad_edges[$n++] = array($row, $col, HORIZ_EDGE); |
if ( $this->edges[HORIZ_EDGE][$row+1][$col] ) $quad_edges[$n++] = array($row+1,$col, HORIZ_EDGE); |
if( $n == 0 ) { |
// Easy, fill the entire quadrant with one color since we have no crossings |
// Select the top left datapoint as representing this quadrant |
// color for this quadrant |
$color = $this->GetIsobarColor($this->dataPoints[$row][$col]); |
$polygon = array($col,$row,$col,$row+1,$col+1,$row+1,$col+1,$row,$col,$row); |
$canvas->FilledPolygon($polygon,$color); |
} elseif( $n==2 ) { |
// There is one isobar edge crossing this quadrant. In order to fill we need to |
// find out the orientation of the two areas this edge is separating in order to |
// construct the two polygons that define the two areas to be filled |
// There are six possible variants |
// 0) North-South |
// 1) West-East |
// 2) West-North |
// 3) East-North |
// 4) West-South |
// 5) East-South |
$type=-1; |
if( $this->edges[HORIZ_EDGE][$row][$col] ) { |
if( $this->edges[HORIZ_EDGE][$row+1][$col] ) $type=0; // North-South |
elseif( $this->edges[VERT_EDGE][$row][$col] ) $type=2; |
elseif( $this->edges[VERT_EDGE][$row][$col+1] ) $type=3; |
} |
elseif( $this->edges[HORIZ_EDGE][$row+1][$col] ) { |
if( $this->edges[VERT_EDGE][$row][$col] ) $type=4; |
elseif( $this->edges[VERT_EDGE][$row][$col+1] ) $type=5; |
} |
else { |
$type=1; |
} |
if( $type==-1 ) { |
die('Internal error: n=2 but no edges in the quadrant was find to determine type.'); |
} |
switch( $type ) { |
case 0: //North-South |
// North vertice |
$v1 = $this->dataPoints[$row][$col]; |
$v2 = $this->dataPoints[$row][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x1,$y1) = $this->getCrossingCoord($row, $col,HORIZ_EDGE, $isobarValue); |
// South vertice |
$v1 = $this->dataPoints[$row+1][$col]; |
$v2 = $this->dataPoints[$row+1][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x2,$y2) = $this->getCrossingCoord($row+1, $col,HORIZ_EDGE, $isobarValue); |
$polygon = array($col,$row,$x1,$y1,$x2,$y2,$col,$row+1,$col,$row); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v1)); |
$polygon = array($col+1,$row,$x1,$y1,$x2,$y2,$col+1,$row+1,$col+1,$row); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v2)); |
break; |
case 1: // West-East |
// West vertice |
$v1 = $this->dataPoints[$row][$col]; |
$v2 = $this->dataPoints[$row+1][$col]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x1,$y1) = $this->getCrossingCoord($row, $col,VERT_EDGE, $isobarValue); |
// East vertice |
$v1 = $this->dataPoints[$row][$col+1]; |
$v2 = $this->dataPoints[$row+1][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x2,$y2) = $this->getCrossingCoord($row, $col+1,VERT_EDGE, $isobarValue); |
$polygon = array($col,$row,$x1,$y1,$x2,$y2,$col+1,$row,$col,$row); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v1)); |
$polygon = array($col,$row+1,$x1,$y1,$x2,$y2,$col+1,$row+1,$col,$row+1); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v2)); |
break; |
case 2: // West-North |
// West vertice |
$v1 = $this->dataPoints[$row][$col]; |
$v2 = $this->dataPoints[$row+1][$col]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x1,$y1) = $this->getCrossingCoord($row, $col,VERT_EDGE, $isobarValue); |
// North vertice |
$v1 = $this->dataPoints[$row][$col]; |
$v2 = $this->dataPoints[$row][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x2,$y2) = $this->getCrossingCoord($row, $col,HORIZ_EDGE, $isobarValue); |
$polygon = array($col,$row,$x1,$y1,$x2,$y2,$col,$row); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v1)); |
$polygon = array($x1,$y1,$x2,$y2,$col+1,$row,$col+1,$row+1,$col,$row+1,$x1,$y1); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v2)); |
break; |
case 3: // East-North |
// if( $row==3 && $col==1 && $n==2 ) { |
// echo " ** East-North<br>"; |
// } |
// East vertice |
$v1 = $this->dataPoints[$row][$col+1]; |
$v2 = $this->dataPoints[$row+1][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x1,$y1) = $this->getCrossingCoord($row, $col+1,VERT_EDGE, $isobarValue); |
// |
// if( $row==3 && $col==1 && $n==2 ) { |
// echo " ** E_val($v1,$v2), isobar=$isobarValue<br>"; |
// echo " ** E($x1,$y1)<br>"; |
// } |
// North vertice |
$v1 = $this->dataPoints[$row][$col]; |
$v2 = $this->dataPoints[$row][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x2,$y2) = $this->getCrossingCoord($row, $col,HORIZ_EDGE, $isobarValue); |
// if( $row==3 && $col==1 && $n==2 ) { |
// echo " ** N_val($v1,$v2), isobar=$isobarValue<br>"; |
// echo " ** N($x2,$y2)<br>"; |
// } |
// if( $row==3 && $col==1 && $n==2 ) |
// $canvas->Line($x1,$y1,$x2,$y2,'blue'); |
$polygon = array($x1,$y1,$x2,$y2,$col+1,$row,$x1,$y1); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v2)); |
$polygon = array($col,$row,$x2,$y2,$x1,$y1,$col+1,$row+1,$col,$row+1,$col,$row); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v1)); |
break; |
case 4: // West-South |
// West vertice |
$v1 = $this->dataPoints[$row][$col]; |
$v2 = $this->dataPoints[$row+1][$col]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x1,$y1) = $this->getCrossingCoord($row, $col,VERT_EDGE, $isobarValue); |
// South vertice |
$v1 = $this->dataPoints[$row+1][$col]; |
$v2 = $this->dataPoints[$row+1][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x2,$y2) = $this->getCrossingCoord($row+1, $col,HORIZ_EDGE, $isobarValue); |
$polygon = array($col,$row+1,$x1,$y1,$x2,$y2,$col,$row+1); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v1)); |
$polygon = array($x1,$y1,$x2,$y2,$col+1,$row+1,$col+1,$row,$col,$row,$x1,$y1); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v2)); |
break; |
case 5: // East-South |
// |
// if( $row==1 && $col==1 && $n==2 ) { |
// echo " ** Sout-East<br>"; |
// } |
// East vertice |
$v1 = $this->dataPoints[$row][$col+1]; |
$v2 = $this->dataPoints[$row+1][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x1,$y1) = $this->getCrossingCoord($row, $col+1,VERT_EDGE, $isobarValue); |
// if( $row==1 && $col==1 && $n==2 ) { |
// echo " ** E_val($v1,$v2), isobar=$isobarValue<br>"; |
// echo " ** E($x1,$y1)<br>"; |
// } |
// South vertice |
$v1 = $this->dataPoints[$row+1][$col]; |
$v2 = $this->dataPoints[$row+1][$col+1]; |
$isobarValue = $this->GetIsobarVal($v1, $v2); |
list($x2,$y2) = $this->getCrossingCoord($row+1, $col,HORIZ_EDGE, $isobarValue); |
// if( $row==1 && $col==1 && $n==2 ) { |
// echo " ** S_val($v1,$v2), isobar=$isobarValue<br>"; |
// echo " ** S($x2,$y2)<br>"; |
// } |
$polygon = array($col+1,$row+1,$x1,$y1,$x2,$y2,$col+1,$row+1); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v2)); |
$polygon = array($x1,$y1,$x2,$y2,$col,$row+1,$col,$row,$col+1,$row,$x1,$y1); |
$canvas->FilledPolygon($polygon,$this->GetIsobarColor($v1)); |
break; |
} |
} |
} |
} |
} |
} |
class ContCanvas { |
public $g; |
public $shape,$scale; |
function __construct($xmax=6,$ymax=6,$width=400,$height=400) { |
$this->g = new CanvasGraph($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(5,5,5,5); |
$this->g->SetMarginColor('white@1'); |
$this->g->InitFrame(); |
$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(); |
} |
} |
class PixelFill { |
private $edges,$dataPoints,$colors,$isoBars; |
function __construct(&$edges,&$dataPoints,$isoBars,$colors) { |
$this->edges = $edges; |
$this->dataPoints = $dataPoints; |
$this->colors = $colors; |
$this->isoBars = $isoBars; |
} |
function GetIsobarColor($val) { |
for ($i = 0 ; $i < count($this->isoBars) ; $i++) { |
if( $val <= $this->isoBars[$i] ) { |
return $this->colors[$i]; |
} |
} |
return $this->colors[$i]; // The color for all values above the highest isobar |
} |
function Fill(ContCanvas $canvas) { |
$nx_vertices = count($this->dataPoints[0]); |
$ny_vertices = count($this->dataPoints); |
// Loop through all squares in the grid |
for($col=0; $col < $nx_vertices-1; ++$col) { |
for($row=0; $row < $ny_vertices-1; ++$row) { |
$v=array( |
$this->dataPoints[$row][$col], |
$this->dataPoints[$row][$col+1], |
$this->dataPoints[$row+1][$col+1], |
$this->dataPoints[$row+1][$col], |
); |
list($x1,$y1) = $canvas->scale->Translate($col, $row); |
list($x2,$y2) = $canvas->scale->Translate($col+1, $row+1); |
for( $x=$x1; $x < $x2; ++$x ) { |
for( $y=$y1; $y < $y2; ++$y ) { |
$v1 = $v[0] + ($v[1]-$v[0])*($x-$x1)/($x2-$x1); |
$v2 = $v[3] + ($v[2]-$v[3])*($x-$x1)/($x2-$x1); |
$val = $v1 + ($v2-$v1)*($y-$y1)/($y2-$y1); |
if( $row==2 && $col==2 ) { |
//echo " ($val ($x,$y)) (".$v[0].",".$v[1].",".$v[2].",".$v[3].")<br>"; |
} |
$color = $this->GetIsobarColor($val); |
$canvas->g->img->SetColor($color); |
$canvas->g->img->Point($x, $y); |
} |
} |
} |
} |
} |
} |
$edges=array(array(),array(),array()); |
$datapoints=array(); |
for($col=0; $col<6; $col++) { |
for($row=0; $row<6; $row++) { |
$datapoints[$row][$col]=0; |
$edges[VERT_EDGE][$row][$col] = false; |
$edges[HORIZ_EDGE][$row][$col] = false; |
} |
} |
$datapoints[1][2] = 2; |
$datapoints[2][1] = 1; |
$datapoints[2][2] = 7; |
$datapoints[2][3] = 2; |
$datapoints[3][1] = 2; |
$datapoints[3][2] = 17; |
$datapoints[3][3] = 4; |
$datapoints[4][2] = 3; |
$datapoints[1][4] = 12; |
$edges[VERT_EDGE][1][2] = true; |
$edges[VERT_EDGE][3][2] = true; |
$edges[HORIZ_EDGE][2][1] = true; |
$edges[HORIZ_EDGE][2][2] = true; |
$edges[HORIZ_EDGE][3][1] = true; |
$edges[HORIZ_EDGE][3][2] = true; |
$isobars = array(5,10,15); |
$colors = array('lightgray','lightblue','lightred','red'); |
$engine = new PixelFill($edges, $datapoints, $isobars, $colors); |
$canvas = new ContCanvas(); |
$engine->Fill($canvas); |
$canvas->SetDatapoints($datapoints); |
$canvas->Stroke(); |
die(); |
//$tst = new Findpolygon(); |
//$p1 = $tst->SetupTestData(); |
// |
//$canvas = new ContCanvas(); |
//for ($i = 0 ; $i < count($tst->contourCoord); $i++) { |
// $canvas->DrawLinePolygons($tst->contourCoord[$i]); |
//} |
// |
//$p2 = $tst->FindPolygons(); |
//for ($i = 0 ; $i < count($p2) ; $i++) { |
// $canvas->FilledPolygon($tst->flattenEdges($p2[$i])); |
//} |
// |
//for ($i = 0 ; $i < count($p2) ; $i++) { |
// $canvas->Polygon($tst->flattenEdges($p2[$i])); |
//} |
// |
//$canvas->Stroke(); |
//die(); |
//for( $trial = 0; $trial < 1; ++$trial ) { |
// echo "\nTest $trial:\n"; |
// echo "========================================\n"; |
// $tst = new Findpolygon(); |
// $p1 = $tst->SetupTestData(); |
// |
// // for ($i = 0 ; $i < count($p1) ; $i++) { |
// // echo "Test polygon $i:\n"; |
// // echo "---------------------\n"; |
// // $tst->p_edges($tst->contourCoord[$i]); |
// // echo "\n"; |
// // } |
// // |
// $p2 = $tst->FindPolygons(); |
// $npol = count($p2); |
// //echo "\n** Found $npol separate polygon chains.\n\n"; |
// |
// for( $i=0; $i<$npol; ++$i ) { |
// |
// $res_forward = $tst->CompareCyclic($p1[$i], $p2[$i],true); |
// $res_backward = $tst->CompareCyclic($p1[$i], $p2[$i],false); |
// if( $res_backward || $res_forward ) { |
// // if( $res_forward ) |
// // echo "Forward matches!\n"; |
// // else |
// // echo "Backward matches!\n"; |
// } |
// else { |
// echo "********** NO MATCH!!.\n\n"; |
// echo "\nBefore find:\n"; |
// for ($j = 0 ; $j < count($p1[$i]) ; $j++) { |
// echo "(".$p1[$i][$j][0].','.$p1[$i][$j][1]."), "; |
// } |
// echo "\n"; |
// |
// echo "\nAfter find:\n"; |
// for ($j = 0 ; $j < count($p2[$i]) ; $j++) { |
// echo "(".$p2[$i][$j][0].','.$p2[$i][$j][1]."), "; |
// } |
// echo "\n"; |
// } |
// |
// } |
//} |
// |
//echo "\n\nAll tests ready.\n\n"; |
// |
?> |