mainwzmaptest.html

Delaunay三角形的网格剖分程序

<TITLE>WZ 1.1: Maps and coordinates</TITLE>

<H1>wzMap</H1>

 <P>There are a lot of predefined standard systems of coordinates
which may be used.  We distinguish two transformations: <B>global</B>
and <B>local</B>.  That means, where are <B>local coordinates</B>
which may be transformed into <B>global coordinates</B> and reverse.
We can always apply additional <B>conform affine transformations</B>
to the global coordinates.

 <P>Coordinates may be used to create grids following this scheme:
<PRE>
#include "coglib.hxx"

void createGridWithCoordinates(wzmap c)
{
  wzBox x;
  for(int i=0;i&lt;c-&gt;dimension();i++){
       	x.min[i] = c-&gt;chart.min[i];
	x.max[i] = c-&gt;chart.max[i];
	if(x.min[i]&lt;-200) x.min[i] = -wzPi/2;
	if(x.max[i]&gt; 200) x.max[i] =  wzPi/2;
  }
  if(c-&gt;dimension()&lt;2) x.max[1]=1;
  cogenOctree ortho = new CogenOctree();
  ortho-&gt;setBorder(x.min[0],x.max[0],x.min[1],x.max[1],x.min[2],x.max[2]);
  ortho-&gt;refinementGlobal(0.2,0.2,0.2);
  cogenChart gen = new CogenChart(ortho-&gt;generator(),c);
  wzgrid grid = (*gen)();
  grid->write("test.sg");
}
</PRE>


<PRE>
int main()
{
  wz3dmap c3;
</PRE>

<H2>3D Coordinates</H2>

 <P>In 3D, we have planar, spherical, and cylinder coordinates currently implemented.
 <P><IMG SRC="spheretest.gif">

<PRE>
  c3 = new wz3Dcoordinates();
  c3 = new wz3Dspherical();
  c3 = new wz3Dcylinder();
</PRE>

 <P>Affine transformations may be added with the following operations:

<PRE>
  c3-&gt;stretch(2.0);
  c3-&gt;switchXY();
  c3-&gt;switchYZ();
  c3-&gt;switchXZ();
  c3-&gt;rotateX(0.25*wzPi);
  c3-&gt;rotateY(0.25*wzPi);
  c3-&gt;rotateZ(0.25*wzPi);
  c3-&gt;shift(0.5,0.5,0.5);
//  c3-&gt;print();
</PRE>

<H2>2D Coordinates</H2>

 <P>In 2D, we have planar, polar, complex exponent, complex elliptic,
coordinates currently implemented:

 <P><IMG SRC="polartest.gif">
 <IMG SRC="wz2dexp.gif">
 <IMG SRC="wz2delliptic.gif">

<PRE>
  wz2dmap c2;
  c2 = new wz2Dcoordinates();
  c2 = new wz2Dpolar();
  c2 = new wz2Dexp();
//  c2 = new wz2Dshukovski();
  c2 = new wz2Dcosh();
  c2 = new wz2Dacosh();
</PRE>

 <P>Affine transformations may be added with the following operations:

<PRE>
  createGridWithCoordinates(&amp;*c2);
  c2-&gt;print();
  c2-&gt;test();
  c2-&gt;stretch(2.0);
  c2-&gt;switchXY();
  c2-&gt;rotate(0.25*wzPi);
  c2-&gt;shift(0.5,0.5);
</PRE>

<H2>1D Coordinates</H2>

 <P>In 1D, we have planar coordinates currently implemented:

<PRE>
  wz1dmap c1;
  c1 = new wz1Dcoordinates();
  c1 = new wz1Dexp();
  c1 = new wz1Dlog();
</PRE>

 <P>Affine transformations may be added with the following operations:

<PRE>
  c1-&gt;stretch(2.0);
  c1-&gt;shift(0.5);
//  c1-&gt;print();
  fine();
}
</PRE>