Skip to Content.
Sympa Menu

cgal-discuss - [cgal-discuss] write out and read in (Delauney) triangulation

Subject: CGAL users discussion list

List archive

[cgal-discuss] write out and read in (Delauney) triangulation


Chronological Thread 
  • From: Tom Van Doorsselaere <>
  • To:
  • Subject: [cgal-discuss] write out and read in (Delauney) triangulation
  • Date: Fri, 08 May 2015 17:27:41 +0200
Dear CGAL enthousiasts,

I'm building a program for the rendering of emission of solar coronal
models. For that I'm doing simulations first, computing the
triangulation, which I then render onto artificial images. Since it is
the bottleneck of the computation, I would like to store the
triangulation, to be read in again for the rendering stage.

I have attached a minimal representation of my code, with test data. I
have compiled the code with gcc version 4.4.7:
g++ -frounding-math -std=gnu++0x -g -Wall -lCGAL -lgmp -o testreadin
testreadinwriteout.cpp

and then run it with

-----------------------
> ./testreadin --write
writing out triangulationGelukt
-----------------------

and

-----------------------
>./testreadin --read
terminate called after throwing an instance of 'CGAL::Assertion_exception'
what(): CGAL ERROR: assertion violation!
Expr: false
File: /usr/include/CGAL/Triangulation_3.h
Line: 5321
reading in triangulationAborted
-----------------------

I have no idea what can cause this issue, because I have checked the
validity of the triangulation in the write stage, and I would expect a
written valid triangulation to be read in again as one.

Even more confusing is that when I remove the conversion from
cylindrical coordinates in the data file to cartesian coordinates in the
code (i.e. line 82 and 83 in the attached program), then the reading in
and writing out is no issue and both stages work as expected.

What important issue am I missing here?

Thanks for your input!

Tom
#include <fstream>
#include <sstream>
#include <cstdlib>
#include <cmath>

#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_3.h>
#include <CGAL/interpolation_functions.h>

using namespace std;

typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Delaunay_triangulation_3<K, CGAL::Fast_location> Delaunay_triangulation_3;
typedef K::Point_3                                    Point;

Delaunay_triangulation_3 DT_global;

void writetriangulation(const string snapsave, const Delaunay_triangulation_3 *DTpointer)
{
		ofstream out(snapsave,ios::binary|ios::ate|ios::trunc);
		if (out.is_open())
		{
			if (DTpointer!=NULL) out << *DTpointer;
			out.close();
		}
		else cout << "Unable to write to " << snapsave << endl;
}

void readtriangulation(const string snapsave, Delaunay_triangulation_3 *DTpointer)
{
		ifstream in(snapsave,ios::binary);
		if (in.is_open())
		{
			if (!in.eof() && (DTpointer!=NULL)) 
			{
				in >> *DTpointer;
				// Check is this is a valid Delaunay triangulation
				//assert(DTpointer->is_valid());
			}
			in.close();
		}
}

int main(int argc, char* argv[])
{
	stringstream ss;
	ss << "vae2_delta1_t=0.test2";
	string filename=ss.str();
	ss.str("");
	ss << "emissionsave";
	string snapsave=ss.str();
	ss.str("");

	if (strcmp(argv[1],"--write")==0)
	{
		cout << "writing out triangulation";
		int dim=3;
		int ng = 500/2;
		int nvars = 5; // \rho, T, vx, vy, vz
		vector<double> * grid=new vector<double>[dim];
		vector<vector<double>> allvar;
		allvar.resize(nvars);
		double r, theta;
		
		ifstream in(filename,ios::binary);
		if (in.is_open())
		{
			for (int i=0; i<dim; i++)
			{
				grid[i].resize(ng);
			}
			for (int i=0; i<nvars; i++)
			{
				allvar[i].resize(ng);
			}
			for (int j=0; j<ng; j++)
			{
				for (int i=0; i<dim; i++) in >> grid[i][j];
				for (int i=0; i<nvars; i++) in >> allvar[i][j];
				r=grid[0][j];
				theta=grid[1][j];
			//	grid[0][j]=r*cos(theta);
			//	grid[1][j]=r*sin(theta);
			}
			in.close();
		}

		vector<Point> delaunaygrid;
		delaunaygrid.resize(ng);

		for (int i=0; i<ng; i++)
		{	
			delaunaygrid[i]=Point(grid[0][i],grid[1][i],grid[2][i]);
		}

		DT_global.insert(delaunaygrid.begin(),delaunaygrid.end());
	        assert(DT_global.is_valid());
	        assert(DT_global.dimension()==3);
		
		writetriangulation(snapsave,&DT_global);
	}
	else
	{
		Delaunay_triangulation_3  DT;
		cout << "reading in triangulation";
		readtriangulation(snapsave,&DT);
		assert(DT_global.is_valid());
	}
	cout << "Gelukt\n" ;
	return EXIT_SUCCESS;
}
0.033330176 0.00000 -15.000000 1.0001896 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332939 0.00000 -14.800000 1.0000239 1.0000000
-0.0000000 0.0000000 0.0000000
0.033335350 0.00000 -14.600000 0.99987924 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337417 0.00000 -14.400000 0.99975514 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339161 0.00000 -14.200000 0.99965055 1.0000000
-0.0000000 0.0000000 0.0000000
0.033340528 0.00000 -14.000000 0.99956864 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341439 0.00000 -13.800000 0.99951397 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341886 0.00000 -13.600000 0.99948710 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341939 0.00000 -13.400000 0.99948385 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341646 0.00000 -13.200000 0.99950151 1.0000000
-0.0000000 0.0000000 0.0000000
0.033340901 0.00000 -13.000000 0.99954642 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339442 0.00000 -12.800000 0.99963409 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337043 0.00000 -12.600000 0.99977800 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333774 0.00000 -12.400000 0.99997382 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330128 0.00000 -12.200000 1.0001920 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326860 0.00000 -12.000000 1.0003877 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324614 0.00000 -11.800000 1.0005224 1.0000000
-0.0000000 0.0000000 0.0000000
0.033323618 0.00000 -11.600000 1.0005822 1.0000000
-0.0000000 0.0000000 0.0000000
0.033323664 0.00000 -11.400000 1.0005798 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324363 0.00000 -11.200000 1.0005380 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325445 0.00000 -11.000000 1.0004731 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326854 0.00000 -10.800000 1.0003886 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328609 0.00000 -10.600000 1.0002833 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330635 0.00000 -10.400000 1.0001619 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332748 0.00000 -10.200000 1.0000352 1.0000000
-0.0000000 0.0000000 0.0000000
0.033334807 0.00000 -10.000000 0.99991161 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336834 0.00000 -9.8000000 0.99978990 1.0000000
-0.0000000 0.0000000 0.0000000
0.033338942 0.00000 -9.6000000 0.99966344 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341106 0.00000 -9.4000000 0.99953380 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343001 0.00000 -9.2000000 0.99942044 1.0000000
-0.0000000 0.0000000 0.0000000
0.033344080 0.00000 -9.0000000 0.99935603 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343865 0.00000 -8.8000000 0.99936901 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342245 0.00000 -8.6000000 0.99946603 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339555 0.00000 -8.4000000 0.99962700 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336406 0.00000 -8.2000000 0.99981551 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333385 0.00000 -8.0000000 0.99999656 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330828 0.00000 -7.8000000 1.0001500 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328787 0.00000 -7.6000000 1.0002725 1.0000000
-0.0000000 0.0000000 0.0000000
0.033327168 0.00000 -7.4000000 1.0003697 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325906 0.00000 -7.2000000 1.0004454 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325045 0.00000 -7.0000000 1.0004970 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324672 0.00000 -6.8000000 1.0005194 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324806 0.00000 -6.6000000 1.0005114 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325377 0.00000 -6.4000000 1.0004772 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326332 0.00000 -6.2000000 1.0004197 1.0000000
-0.0000000 0.0000000 0.0000000
0.033327777 0.00000 -6.0000000 1.0003329 1.0000000
-0.0000000 0.0000000 0.0000000
0.033329937 0.00000 -5.8000000 1.0002033 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332917 0.00000 -5.6000000 1.0000246 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336437 0.00000 -5.4000000 0.99981388 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339813 0.00000 -5.2000000 0.99961177 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342281 0.00000 -5.0000000 0.99946396 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343418 0.00000 -4.8000000 0.99939568 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343327 0.00000 -4.6000000 0.99940092 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342435 0.00000 -4.4000000 0.99945416 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341133 0.00000 -4.2000000 0.99953218 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339566 0.00000 -4.0000000 0.99962620 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337724 0.00000 -3.8000000 0.99973669 1.0000000
-0.0000000 0.0000000 0.0000000
0.033335642 0.00000 -3.6000000 0.99986155 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333459 0.00000 -3.4000000 0.99999247 1.0000000
-0.0000000 0.0000000 0.0000000
0.033331281 0.00000 -3.2000000 1.0001231 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328997 0.00000 -3.0000000 1.0002601 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326146 0.00000 -2.8000000 1.0004310 1.0000000
-0.0000000 0.0000000 0.0000000
0.033321700 0.00000 -2.6000000 1.0006974 1.0000000
-0.0000000 0.0000000 0.0000000
0.033313431 0.00000 -2.4000000 1.0011925 1.0000000
-0.0000000 0.0000000 0.0000000
0.033296596 0.00000 -2.2000000 1.0022003 1.0000000
-0.0000000 0.0000000 0.0000000
0.033261968 0.00000 -2.0000000 1.0042734 1.0000000
-0.0000000 0.0000000 0.0000000
0.033193832 0.00000 -1.8000000 1.0083530 1.0000000
-0.0000000 0.0000000 0.0000000
0.033069260 0.00000 -1.6000000 1.0158119 1.0000000
-0.0000000 0.0000000 0.0000000
0.032860724 0.00000 -1.4000000 1.0282981 1.0000000
-0.0000000 0.0000000 0.0000000
0.032543849 0.00000 -1.2000000 1.0472710 1.0000000
-0.0000000 0.0000000 0.0000000
0.032110140 0.00000 -1.0000000 1.0732392 1.0000000
-0.0000000 0.0000000 0.0000000
0.031580794 0.00000 -0.80000000 1.1049336 1.0000000
-0.0000000 0.0000000 0.0000000
0.031014299 0.00000 -0.60000000 1.1388522 1.0000000
-0.0000000 0.0000000 0.0000000
0.030500542 0.00000 -0.40000000 1.1696134 1.0000000
-0.0000000 0.0000000 0.0000000
0.030139220 0.00000 -0.20000000 1.1912476 1.0000000
-0.0000000 0.0000000 0.0000000
0.030008837 0.00000 0.0000000 1.1990543 1.0000000
-0.0000000 0.0000000 0.0000000
0.030139220 0.00000 0.20000000 1.1912476 1.0000000
-0.0000000 0.0000000 0.0000000
0.030500542 0.00000 0.40000000 1.1696134 1.0000000
-0.0000000 0.0000000 0.0000000
0.031014299 0.00000 0.60000000 1.1388522 1.0000000
-0.0000000 0.0000000 0.0000000
0.031580794 0.00000 0.80000000 1.1049336 1.0000000
-0.0000000 0.0000000 0.0000000
0.032110140 0.00000 1.0000000 1.0732392 1.0000000
-0.0000000 0.0000000 0.0000000
0.032543849 0.00000 1.2000000 1.0472710 1.0000000
-0.0000000 0.0000000 0.0000000
0.032860724 0.00000 1.4000000 1.0282981 1.0000000
-0.0000000 0.0000000 0.0000000
0.033069260 0.00000 1.6000000 1.0158119 1.0000000
-0.0000000 0.0000000 0.0000000
0.033193832 0.00000 1.8000000 1.0083530 1.0000000
-0.0000000 0.0000000 0.0000000
0.033261968 0.00000 2.0000000 1.0042734 1.0000000
-0.0000000 0.0000000 0.0000000
0.033296596 0.00000 2.2000000 1.0022003 1.0000000
-0.0000000 0.0000000 0.0000000
0.033313431 0.00000 2.4000000 1.0011925 1.0000000
-0.0000000 0.0000000 0.0000000
0.033321700 0.00000 2.6000000 1.0006974 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326146 0.00000 2.8000000 1.0004310 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328997 0.00000 3.0000000 1.0002601 1.0000000
-0.0000000 0.0000000 0.0000000
0.033331281 0.00000 3.2000000 1.0001231 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333459 0.00000 3.4000000 0.99999247 1.0000000
-0.0000000 0.0000000 0.0000000
0.033335642 0.00000 3.6000000 0.99986155 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337724 0.00000 3.8000000 0.99973669 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339566 0.00000 4.0000000 0.99962620 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341133 0.00000 4.2000000 0.99953218 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342435 0.00000 4.4000000 0.99945416 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343327 0.00000 4.6000000 0.99940092 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343418 0.00000 4.8000000 0.99939568 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342281 0.00000 5.0000000 0.99946396 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339813 0.00000 5.2000000 0.99961177 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336437 0.00000 5.4000000 0.99981388 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332917 0.00000 5.6000000 1.0000246 1.0000000
-0.0000000 0.0000000 0.0000000
0.033329937 0.00000 5.8000000 1.0002033 1.0000000
-0.0000000 0.0000000 0.0000000
0.033327777 0.00000 6.0000000 1.0003329 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326332 0.00000 6.2000000 1.0004197 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325377 0.00000 6.4000000 1.0004772 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324806 0.00000 6.6000000 1.0005114 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324672 0.00000 6.8000000 1.0005194 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325045 0.00000 7.0000000 1.0004970 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325906 0.00000 7.2000000 1.0004454 1.0000000
-0.0000000 0.0000000 0.0000000
0.033327168 0.00000 7.4000000 1.0003697 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328787 0.00000 7.6000000 1.0002725 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330828 0.00000 7.8000000 1.0001500 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333385 0.00000 8.0000000 0.99999656 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336406 0.00000 8.2000000 0.99981551 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339555 0.00000 8.4000000 0.99962700 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342245 0.00000 8.6000000 0.99946603 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343865 0.00000 8.8000000 0.99936901 1.0000000
-0.0000000 0.0000000 0.0000000
0.033344080 0.00000 9.0000000 0.99935603 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343001 0.00000 9.2000000 0.99942044 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341106 0.00000 9.4000000 0.99953380 1.0000000
-0.0000000 0.0000000 0.0000000
0.033338942 0.00000 9.6000000 0.99966344 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336834 0.00000 9.8000000 0.99978990 1.0000000
-0.0000000 0.0000000 0.0000000
0.033334807 0.00000 10.000000 0.99991161 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332748 0.00000 10.200000 1.0000352 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330635 0.00000 10.400000 1.0001619 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328609 0.00000 10.600000 1.0002833 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326854 0.00000 10.800000 1.0003886 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325445 0.00000 11.000000 1.0004731 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324363 0.00000 11.200000 1.0005380 1.0000000
-0.0000000 0.0000000 0.0000000
0.033323664 0.00000 11.400000 1.0005798 1.0000000
-0.0000000 0.0000000 0.0000000
0.033323618 0.00000 11.600000 1.0005822 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324614 0.00000 11.800000 1.0005224 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326860 0.00000 12.000000 1.0003877 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330128 0.00000 12.200000 1.0001920 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333774 0.00000 12.400000 0.99997382 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337043 0.00000 12.600000 0.99977800 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339442 0.00000 12.800000 0.99963409 1.0000000
-0.0000000 0.0000000 0.0000000
0.033340901 0.00000 13.000000 0.99954642 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341646 0.00000 13.200000 0.99950151 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341939 0.00000 13.400000 0.99948385 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341886 0.00000 13.600000 0.99948710 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341439 0.00000 13.800000 0.99951397 1.0000000
-0.0000000 0.0000000 0.0000000
0.033340528 0.00000 14.000000 0.99956864 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339161 0.00000 14.200000 0.99965055 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337417 0.00000 14.400000 0.99975514 1.0000000
-0.0000000 0.0000000 0.0000000
0.033335350 0.00000 14.600000 0.99987924 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332939 0.00000 14.800000 1.0000239 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330176 0.00000 15.000000 1.0001896 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330176 0.0628319 -15.000000 1.0001896 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332939 0.0628319 -14.800000 1.0000239 1.0000000
-0.0000000 0.0000000 0.0000000
0.033335350 0.0628319 -14.600000 0.99987924 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337417 0.0628319 -14.400000 0.99975514 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339161 0.0628319 -14.200000 0.99965055 1.0000000
-0.0000000 0.0000000 0.0000000
0.033340528 0.0628319 -14.000000 0.99956864 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341439 0.0628319 -13.800000 0.99951397 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341886 0.0628319 -13.600000 0.99948710 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341939 0.0628319 -13.400000 0.99948385 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341646 0.0628319 -13.200000 0.99950151 1.0000000
-0.0000000 0.0000000 0.0000000
0.033340901 0.0628319 -13.000000 0.99954642 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339442 0.0628319 -12.800000 0.99963409 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337043 0.0628319 -12.600000 0.99977800 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333774 0.0628319 -12.400000 0.99997382 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330128 0.0628319 -12.200000 1.0001920 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326860 0.0628319 -12.000000 1.0003877 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324614 0.0628319 -11.800000 1.0005224 1.0000000
-0.0000000 0.0000000 0.0000000
0.033323618 0.0628319 -11.600000 1.0005822 1.0000000
-0.0000000 0.0000000 0.0000000
0.033323664 0.0628319 -11.400000 1.0005798 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324363 0.0628319 -11.200000 1.0005380 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325445 0.0628319 -11.000000 1.0004731 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326854 0.0628319 -10.800000 1.0003886 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328609 0.0628319 -10.600000 1.0002833 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330635 0.0628319 -10.400000 1.0001619 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332748 0.0628319 -10.200000 1.0000352 1.0000000
-0.0000000 0.0000000 0.0000000
0.033334807 0.0628319 -10.000000 0.99991161 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336834 0.0628319 -9.8000000 0.99978990 1.0000000
-0.0000000 0.0000000 0.0000000
0.033338942 0.0628319 -9.6000000 0.99966344 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341106 0.0628319 -9.4000000 0.99953380 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343001 0.0628319 -9.2000000 0.99942044 1.0000000
-0.0000000 0.0000000 0.0000000
0.033344080 0.0628319 -9.0000000 0.99935603 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343865 0.0628319 -8.8000000 0.99936901 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342245 0.0628319 -8.6000000 0.99946603 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339555 0.0628319 -8.4000000 0.99962700 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336406 0.0628319 -8.2000000 0.99981551 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333385 0.0628319 -8.0000000 0.99999656 1.0000000
-0.0000000 0.0000000 0.0000000
0.033330828 0.0628319 -7.8000000 1.0001500 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328787 0.0628319 -7.6000000 1.0002725 1.0000000
-0.0000000 0.0000000 0.0000000
0.033327168 0.0628319 -7.4000000 1.0003697 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325906 0.0628319 -7.2000000 1.0004454 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325045 0.0628319 -7.0000000 1.0004970 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324672 0.0628319 -6.8000000 1.0005194 1.0000000
-0.0000000 0.0000000 0.0000000
0.033324806 0.0628319 -6.6000000 1.0005114 1.0000000
-0.0000000 0.0000000 0.0000000
0.033325377 0.0628319 -6.4000000 1.0004772 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326332 0.0628319 -6.2000000 1.0004197 1.0000000
-0.0000000 0.0000000 0.0000000
0.033327777 0.0628319 -6.0000000 1.0003329 1.0000000
-0.0000000 0.0000000 0.0000000
0.033329937 0.0628319 -5.8000000 1.0002033 1.0000000
-0.0000000 0.0000000 0.0000000
0.033332917 0.0628319 -5.6000000 1.0000246 1.0000000
-0.0000000 0.0000000 0.0000000
0.033336437 0.0628319 -5.4000000 0.99981388 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339813 0.0628319 -5.2000000 0.99961177 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342281 0.0628319 -5.0000000 0.99946396 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343418 0.0628319 -4.8000000 0.99939568 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343327 0.0628319 -4.6000000 0.99940092 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342435 0.0628319 -4.4000000 0.99945416 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341133 0.0628319 -4.2000000 0.99953218 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339566 0.0628319 -4.0000000 0.99962620 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337724 0.0628319 -3.8000000 0.99973669 1.0000000
-0.0000000 0.0000000 0.0000000
0.033335642 0.0628319 -3.6000000 0.99986155 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333459 0.0628319 -3.4000000 0.99999247 1.0000000
-0.0000000 0.0000000 0.0000000
0.033331281 0.0628319 -3.2000000 1.0001231 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328997 0.0628319 -3.0000000 1.0002601 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326146 0.0628319 -2.8000000 1.0004310 1.0000000
-0.0000000 0.0000000 0.0000000
0.033321700 0.0628319 -2.6000000 1.0006974 1.0000000
-0.0000000 0.0000000 0.0000000
0.033313431 0.0628319 -2.4000000 1.0011925 1.0000000
-0.0000000 0.0000000 0.0000000
0.033296596 0.0628319 -2.2000000 1.0022003 1.0000000
-0.0000000 0.0000000 0.0000000
0.033261968 0.0628319 -2.0000000 1.0042734 1.0000000
-0.0000000 0.0000000 0.0000000
0.033193832 0.0628319 -1.8000000 1.0083530 1.0000000
-0.0000000 0.0000000 0.0000000
0.033069260 0.0628319 -1.6000000 1.0158119 1.0000000
-0.0000000 0.0000000 0.0000000
0.032860724 0.0628319 -1.4000000 1.0282981 1.0000000
-0.0000000 0.0000000 0.0000000
0.032543849 0.0628319 -1.2000000 1.0472710 1.0000000
-0.0000000 0.0000000 0.0000000
0.032110140 0.0628319 -1.0000000 1.0732392 1.0000000
-0.0000000 0.0000000 0.0000000
0.031580794 0.0628319 -0.80000000 1.1049336 1.0000000
-0.0000000 0.0000000 0.0000000
0.031014299 0.0628319 -0.60000000 1.1388522 1.0000000
-0.0000000 0.0000000 0.0000000
0.030500542 0.0628319 -0.40000000 1.1696134 1.0000000
-0.0000000 0.0000000 0.0000000
0.030139220 0.0628319 -0.20000000 1.1912476 1.0000000
-0.0000000 0.0000000 0.0000000
0.030008837 0.0628319 0.0000000 1.1990543 1.0000000
-0.0000000 0.0000000 0.0000000
0.030139220 0.0628319 0.20000000 1.1912476 1.0000000
-0.0000000 0.0000000 0.0000000
0.030500542 0.0628319 0.40000000 1.1696134 1.0000000
-0.0000000 0.0000000 0.0000000
0.031014299 0.0628319 0.60000000 1.1388522 1.0000000
-0.0000000 0.0000000 0.0000000
0.031580794 0.0628319 0.80000000 1.1049336 1.0000000
-0.0000000 0.0000000 0.0000000
0.032110140 0.0628319 1.0000000 1.0732392 1.0000000
-0.0000000 0.0000000 0.0000000
0.032543849 0.0628319 1.2000000 1.0472710 1.0000000
-0.0000000 0.0000000 0.0000000
0.032860724 0.0628319 1.4000000 1.0282981 1.0000000
-0.0000000 0.0000000 0.0000000
0.033069260 0.0628319 1.6000000 1.0158119 1.0000000
-0.0000000 0.0000000 0.0000000
0.033193832 0.0628319 1.8000000 1.0083530 1.0000000
-0.0000000 0.0000000 0.0000000
0.033261968 0.0628319 2.0000000 1.0042734 1.0000000
-0.0000000 0.0000000 0.0000000
0.033296596 0.0628319 2.2000000 1.0022003 1.0000000
-0.0000000 0.0000000 0.0000000
0.033313431 0.0628319 2.4000000 1.0011925 1.0000000
-0.0000000 0.0000000 0.0000000
0.033321700 0.0628319 2.6000000 1.0006974 1.0000000
-0.0000000 0.0000000 0.0000000
0.033326146 0.0628319 2.8000000 1.0004310 1.0000000
-0.0000000 0.0000000 0.0000000
0.033328997 0.0628319 3.0000000 1.0002601 1.0000000
-0.0000000 0.0000000 0.0000000
0.033331281 0.0628319 3.2000000 1.0001231 1.0000000
-0.0000000 0.0000000 0.0000000
0.033333459 0.0628319 3.4000000 0.99999247 1.0000000
-0.0000000 0.0000000 0.0000000
0.033335642 0.0628319 3.6000000 0.99986155 1.0000000
-0.0000000 0.0000000 0.0000000
0.033337724 0.0628319 3.8000000 0.99973669 1.0000000
-0.0000000 0.0000000 0.0000000
0.033339566 0.0628319 4.0000000 0.99962620 1.0000000
-0.0000000 0.0000000 0.0000000
0.033341133 0.0628319 4.2000000 0.99953218 1.0000000
-0.0000000 0.0000000 0.0000000
0.033342435 0.0628319 4.4000000 0.99945416 1.0000000
-0.0000000 0.0000000 0.0000000
0.033343327 0.0628319 4.6000000 0.99940092 1.0000000
-0.0000000 0.0000000 0.0000000

Archive powered by MHonArc 2.6.18.

Top of Page