Merge branch 'master' of gitee.com:yizhangss/magtet
This commit is contained in:
commit
d810b054b4
3
.gitignore
vendored
3
.gitignore
vendored
@ -32,4 +32,5 @@
|
||||
*.app
|
||||
|
||||
.DS_Store
|
||||
build/
|
||||
build/
|
||||
*.nc
|
17
config.sh
17
config.sh
@ -1,9 +1,16 @@
|
||||
#!/bin/bash
|
||||
|
||||
if [[ ${1} == "configure" && ! -d "build/" ]]; then
|
||||
mkdir build && cd build && rm -rf * && cmake ..
|
||||
elif [[ ${1} == "configure" ]]; then
|
||||
cd build && rm -rf * && cmake ..
|
||||
elif [[ ${1} == "build" ]]; then
|
||||
cmd=${1}
|
||||
package=yzToys
|
||||
address=/opt
|
||||
|
||||
if [[ ${cmd} == "configure" && ! -d "build/" ]]; then
|
||||
mkdir build && cd build && cmake .. -DCMAKE_INSTALL_PREFIX=${address}/stow/${package} -DCMAKE_BUILD_TYPE=Release
|
||||
elif [[ ${cmd} == "configure" ]]; then
|
||||
cd build && rm -rf * && cmake .. -DCMAKE_INSTALL_PREFIX=${address}/stow/${package} -DCMAKE_BUILD_TYPE=Release
|
||||
elif [[ ${cmd} == "build" ]]; then
|
||||
cd build && make
|
||||
elif [[ ${cmd} == "install" ]]; then
|
||||
cd build && sudo make install
|
||||
sudo stow --dir=${address}/stow --target=${address} ${package}
|
||||
fi
|
Binary file not shown.
Binary file not shown.
Binary file not shown.
@ -1,4 +1,4 @@
|
||||
#!/bin/bash
|
||||
#!/bin/zsh
|
||||
|
||||
xyz2nc -t prism_mag_pot.txt -o prism_V -r -30/30/-30/30 -i 0.75/0.75 -c 0,1,3 -l x,y,V
|
||||
xyz2nc -t prism_mag_grad.txt -o prism_B -r -30/30/-30/30 -i 0.75/0.75 -c 0,1,3,4,5 -l x,y,Bx,By,Bz
|
||||
|
File diff suppressed because it is too large
Load Diff
14
job.sh
14
job.sh
@ -1,10 +1,15 @@
|
||||
#!/bin/bash
|
||||
|
||||
# tet-file needs both .node and .ele files generated by Tetgen. No file extension is needed
|
||||
# mag-file: magnetization vectors. format1: <filename> format2: (<magz-x>,<magz-y>,<magz-z>)
|
||||
# mag-file: line format: <magz-x> <magz-y> <magz-z>
|
||||
# site-file format: 1. <filename> 2. <xmin>/<xmax>/<ymin>/<ymax>/<z>/<xnum>/<ynum>
|
||||
# site-file line format: <x> <y> <z>
|
||||
# mag-file: magnetization vectors.
|
||||
# mag-file format:
|
||||
# 1. <filename>. Line format: <magz-x> <magz-y> <magz-z>
|
||||
# 2: (<magz-x>,<magz-y>,<magz-z>)
|
||||
# site-file: observation positions.
|
||||
# site-file format:
|
||||
# 1. <filename>. Line format: <x> <y> <z>
|
||||
# 2. <xmin>/<xmax>/<ymin>/<ymax>/<z>/<xnum>/<ynum>
|
||||
# 3. (<x1>,<y1>,<z1>)/(<x2>,<y2>,<z2>)/<num>
|
||||
# obs-file needs only the output file's name with no file extension
|
||||
# available calculating types: potential, gradient and tensor
|
||||
|
||||
@ -20,6 +25,7 @@ cat <<- EOF > ${logfile}
|
||||
tet-file = data/prism/prism.1
|
||||
mag-file = (0,0,200)
|
||||
site-file = -30/30/-30/30/10/81/81
|
||||
#site-file = (-30,-30,10)/(30,30,10)/51
|
||||
obs-file = data/prism/prism
|
||||
cal-type = potential gradient tensor
|
||||
EOF
|
||||
|
9
m3d/README.txt
Normal file
9
m3d/README.txt
Normal file
@ -0,0 +1,9 @@
|
||||
Closed-form formula of magnetic gradient tensor
|
||||
for a homogeneous polyhedral magnetic target:
|
||||
a tetrahedral grid example
|
||||
|
||||
http://software.seg.org/2017/0006
|
||||
|
||||
https://doi.org/10.1190/geo2016-0470.1
|
||||
|
||||
Please read and accept disclaimer.txt before using this code.
|
68
m3d/disclaimer.txt
Normal file
68
m3d/disclaimer.txt
Normal file
@ -0,0 +1,68 @@
|
||||
This document may be found at:
|
||||
|
||||
http://software.seg.org/disclaimer.txt
|
||||
|
||||
MAKE SURE YOU READ AND UNDERSTAND THIS DOCUMENT FULLY.
|
||||
By using material from the software.seg.org GEOPHYSICS
|
||||
source-code archive, you agree to abide by these terms.
|
||||
|
||||
TERMS OF USAGE.
|
||||
---------------
|
||||
The Society of Exploration Geophysicists (SEG) owns worldwide copyright
|
||||
to all material posted on the software.seg.org GEOPHYSICS source-code
|
||||
archive unless the documentation associated with portions of it
|
||||
specifically states otherwise. All material to which SEG owns copyright
|
||||
may be used freely under the following terms of use:
|
||||
|
||||
1) If the software is used in the creation of a publication or software
|
||||
distribution, or in any substantive way in a formal presentation, the
|
||||
GEOPHYSICS paper associated with the software must be referenced, and
|
||||
the URL for the code at software.seg.org must be referenced.
|
||||
|
||||
2) Notices in the source code indicating the origin of the code may not be
|
||||
removed. Disclaimers, copyright, and patent notices in the code may not
|
||||
be removed.
|
||||
Source-code files should contain:
|
||||
A one-line SEG copyright notice.
|
||||
A link to this disclaimer online at software.seg.org.
|
||||
A link to the URL for the source code at software.seg.org.
|
||||
|
||||
3) If any portion of a code from software.seg.org is imported into another
|
||||
routine in either its original form or in modified form, the block of
|
||||
code containing that material must be clearly noted and attributed.
|
||||
The attribution must include, at a minimum, a reference to the
|
||||
GEOPHYSICS paper associated with the software, the URL for the
|
||||
code at software.seg.org, and a pointer to this disclaimer
|
||||
(http://software.seg.org/disclaimer.txt). If any part of the algorithm
|
||||
is restricted in its use by patents, the patents must be referenced
|
||||
and the terms of use documented.
|
||||
|
||||
4) If any material from the software.seg.org GEOPHYSICS source-code
|
||||
archive is modified and then redistributed, clear notice must be
|
||||
included indicating that the code has been modified. The notice
|
||||
should include the nature of the modification, the extent of the
|
||||
modification, the purpose of the modification, when the modification
|
||||
was done, who made the modification, and the affiliation of the party
|
||||
that made the modification.
|
||||
Such notices should not be removed during successive redistributions.
|
||||
|
||||
NO WARRANTIES.
|
||||
--------------
|
||||
You accept all the materials provided "as is."
|
||||
You assume all responsibility for the results or use of the materials.
|
||||
SEG makes no representations or warranties of any kind including, but
|
||||
not limited to, the accuracy, reliability, or usability of these materials.
|
||||
Any use that you make of the materials is at your own risk.
|
||||
|
||||
DISCLAIMER.
|
||||
-----------
|
||||
SEG provides no warranties to you, expressed, implied, or statutory,
|
||||
including any implied warranties of fitness for a particular purpose.
|
||||
|
||||
DAMAGE WAIVER.
|
||||
--------------
|
||||
In no event will SEG be liable for any damages, including direct,
|
||||
indirect, special, incidental, or consequential damages, arising out of
|
||||
anyone's use of or inability to use these materials, or any copies prepared
|
||||
from these materials, even if SEG has been advised as to the possibility
|
||||
of such damages.
|
166
m3d/src/grid.cpp
Executable file
166
m3d/src/grid.cpp
Executable file
@ -0,0 +1,166 @@
|
||||
#include "grid.h"
|
||||
|
||||
Grid::Grid (std::string node_file, std::string tet_file):
|
||||
_node_file (node_file),
|
||||
_tet_file (tet_file)
|
||||
{
|
||||
// do the job
|
||||
this->read_node();
|
||||
this->read_tet();
|
||||
}
|
||||
|
||||
|
||||
Grid::~Grid ()
|
||||
{
|
||||
// delete tets
|
||||
for(unsigned int i=0;i<(_elements.size());++i)
|
||||
if(_elements[i]!=NULL) {
|
||||
delete _elements[i]; _elements[i]=NULL;
|
||||
}
|
||||
this->_elements.clear();
|
||||
|
||||
// delete the nodes.
|
||||
for(unsigned int i=0;i<(_nodes.size());++i) {
|
||||
if(_nodes[i]!=NULL) {
|
||||
delete _nodes[i]; _nodes[i]=NULL;
|
||||
}
|
||||
}
|
||||
this->_nodes.clear();
|
||||
return;
|
||||
}
|
||||
|
||||
/*
|
||||
get the i-th element
|
||||
*/
|
||||
Tet& Grid::get_elem (const unsigned int i)
|
||||
{
|
||||
assert (i < this->n_elems());
|
||||
assert (_elements[i] != NULL);
|
||||
return *this->_elements[i];
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
read nodes or sites
|
||||
*/
|
||||
void Grid::read_node()
|
||||
{
|
||||
// Check input buffer
|
||||
std::ifstream node_stream(this->_node_file.c_str());
|
||||
assert(node_stream.good());
|
||||
|
||||
unsigned int n_nodes=0;
|
||||
node_stream >> n_nodes;
|
||||
assert(n_nodes>0);
|
||||
this->_nodes.clear();
|
||||
this->_nodes.resize(n_nodes);
|
||||
|
||||
for (unsigned int i=0; i<n_nodes; i++) {
|
||||
unsigned int node_lab=0;
|
||||
Point xyz;
|
||||
node_stream >> node_lab
|
||||
>> xyz(0) // x-coordinate value
|
||||
>> xyz(1) // y-coordinate value
|
||||
>> xyz(2); // z-coordinate value
|
||||
Node* newnode = new Node(xyz, node_lab);
|
||||
this->_nodes[i]= newnode;
|
||||
}
|
||||
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
read elements and magnetization vector M
|
||||
*/
|
||||
void Grid::read_tet ()
|
||||
{
|
||||
// Check input buffer
|
||||
std::ifstream ele_stream(this->_tet_file.c_str());
|
||||
assert (ele_stream.good());
|
||||
assert (this->_nodes.size()>0);
|
||||
|
||||
unsigned int n_elems=0;
|
||||
ele_stream >> n_elems;
|
||||
assert(n_elems>0);
|
||||
this->_elements.clear();
|
||||
this->_elements.resize(n_elems);
|
||||
|
||||
for(unsigned int i=0; i<n_elems; i++) {
|
||||
unsigned int element_id;
|
||||
Node* v[4];
|
||||
ele_stream >> element_id;
|
||||
for (unsigned int j=0; j<4; j++) {
|
||||
unsigned int node_id;
|
||||
ele_stream >> node_id;
|
||||
v[j] = this->_nodes[node_id];
|
||||
}
|
||||
double mx, my, mz;
|
||||
ele_stream >> mx >> my >> mz;
|
||||
Tet* tet = new Tet(element_id, v, Point(mx,my,mz));
|
||||
this->_elements[i] = tet;
|
||||
}
|
||||
|
||||
this->_number_elems = n_elems;
|
||||
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
std::ostream& operator <<(std::ostream& os, Grid& mesh)
|
||||
{
|
||||
os << "n_nodes()=" << mesh.n_nodes()
|
||||
<< " \nn_elems()=" << mesh.n_elems()
|
||||
<< " \n";
|
||||
return os;
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
Write the tetrahedral elements into VTk format so that
|
||||
the grid can be shown by Paraview softeware.
|
||||
|
||||
*/
|
||||
void Grid::write_out_vtk(const std::string name)
|
||||
{
|
||||
// Open the of stream
|
||||
std::ofstream vtk_mesh((name+".vtk").c_str());
|
||||
if(!vtk_mesh.good()) {
|
||||
std::cerr<<"Can not open file:\t"<<name+".vtk"
|
||||
<<std::endl;
|
||||
} else {
|
||||
vtk_mesh<<"# vtk DataFile Version 3.0\n" //File version and identifier
|
||||
<<"Zhengyong Ren\n"
|
||||
<<"ASCII\n";
|
||||
vtk_mesh<<"DATASET UNSTRUCTURED_GRID\n";
|
||||
vtk_mesh<<"\nPOINTS\t"<<this->_nodes.size()<<"\tdouble\n";
|
||||
for(unsigned int i=0; i<this->_nodes.size(); i++) {
|
||||
const Node& temp_node= (*this->_nodes[i]);
|
||||
vtk_mesh<<temp_node(0)<<"\t"
|
||||
<<temp_node(1)<<"\t"
|
||||
<<temp_node(2)<<"\n";
|
||||
}
|
||||
vtk_mesh<<"\nCELLS\t"<<this->n_elems()<<"\t"<<this->n_elems()*5<<"\n";
|
||||
for(unsigned int i=0; i<this->n_elems(); i++) {
|
||||
Tet& temp_elem= this->get_elem(i);
|
||||
vtk_mesh<<(unsigned int)4<<"\t"
|
||||
<<temp_elem.get_node_id(0)<<"\t"
|
||||
<<temp_elem.get_node_id(1)<<"\t"
|
||||
<<temp_elem.get_node_id(2)<<"\t"
|
||||
<<temp_elem.get_node_id(3)<<"\n";
|
||||
}
|
||||
vtk_mesh<<"\nCELL_TYPES\t"<<this->n_elems()<<"\n";
|
||||
for(unsigned int i=0; i<this->n_elems(); i++) {
|
||||
vtk_mesh<<(unsigned int)10<<"\n"; // 10--tet
|
||||
}
|
||||
vtk_mesh<<"\n";
|
||||
|
||||
}
|
||||
|
||||
vtk_mesh.close();
|
||||
// done
|
||||
}
|
||||
|
||||
|
37
m3d/src/grid.h
Executable file
37
m3d/src/grid.h
Executable file
@ -0,0 +1,37 @@
|
||||
#ifndef _GRID_H
|
||||
#define _GRID_H
|
||||
|
||||
#include <vector>
|
||||
#include <string>
|
||||
#include <cassert>
|
||||
#include <iostream>
|
||||
#include <fstream>
|
||||
#include "node.h"
|
||||
#include "tet.h"
|
||||
|
||||
class Grid
|
||||
{
|
||||
public:
|
||||
Grid(std::string node_file, std::string tet_file);
|
||||
~Grid();
|
||||
|
||||
// tets
|
||||
unsigned int n_nodes() { return _nodes.size(); }
|
||||
unsigned int n_elems() { return _number_elems; }
|
||||
Tet& get_elem (unsigned int i);
|
||||
|
||||
void read_node();
|
||||
void read_tet ();
|
||||
|
||||
friend std::ostream& operator <<(std::ostream& os, const Grid& mesh);
|
||||
void write_out_vtk(const std::string name);
|
||||
|
||||
public:
|
||||
std::string _node_file;
|
||||
std::string _tet_file;
|
||||
std::vector<Node*> _nodes;
|
||||
std::vector<Tet*> _elements;
|
||||
unsigned int _number_elems;
|
||||
};
|
||||
|
||||
#endif // _GRID_H
|
365
m3d/src/m3d.cpp
Executable file
365
m3d/src/m3d.cpp
Executable file
@ -0,0 +1,365 @@
|
||||
// C++ includes
|
||||
#include "m3d.h"
|
||||
#include <iostream>
|
||||
/* m3d
|
||||
* These files may be found at:
|
||||
* http://software.seg.org/2017/0006
|
||||
*
|
||||
* Please first read and accept:
|
||||
* http://software.seg.org/disclaimer.txt
|
||||
*/
|
||||
/*
|
||||
Input: a tetrahedon and an observation site
|
||||
Output: ni (outgoing normal vector of 4 surfaces)
|
||||
wi0 (heights from site to 4 surfaces
|
||||
Rij_minus and Rij_plus
|
||||
oi (projection point of site on 4 surfaces)
|
||||
Sij_minus and Sij_plus
|
||||
Rij0 (distance from site to edges of 4 surfaces)
|
||||
tij (tangential normal vector on edges)
|
||||
mij (outgoing normal vector of edges)
|
||||
*/
|
||||
M3D::M3D(Tet& tet_, Point r_):
|
||||
tet (tet_),
|
||||
r (r_),
|
||||
TOL (1e-10),
|
||||
Cm (1e-07)
|
||||
{
|
||||
// calculate variables for facets and edges
|
||||
for(int i=0; i<4; i++) {
|
||||
Point n;
|
||||
this->tet.get_facet_normal_vector(n, i);
|
||||
ni[i] = n;
|
||||
double w0;
|
||||
for(int j=0; j<3; j++) {
|
||||
Node* a[2];
|
||||
this->tet.get_facet_edge_ends (a, i, j);
|
||||
Rij_minus[i][j] = (this->r-(*a[0])).size();
|
||||
Rij_plus[i][j] = (this->r-(*a[1])).size();
|
||||
if(j==0) { w0 = (r-(*a[0]))*n;}
|
||||
}
|
||||
wi0[i]=w0;
|
||||
|
||||
Point o = r - n*w0;
|
||||
oi[i] = o;
|
||||
for(int j=0; j<3; j++) {
|
||||
Point m, t; Node* a[2];
|
||||
this->tet.get_facet_edge_normal(m, i, j);
|
||||
this->tet.get_facet_edge_tangential(t, i, j);
|
||||
this->tet.get_facet_edge_ends (a, i, j);
|
||||
Sij_minus[i][j] = ((*a[0])-o)*t;
|
||||
Sij_plus[i][j] = ((*a[1])-o)*t;
|
||||
mij0[i][j]= ((*a[0])-o)*m;
|
||||
Rij0[i][j] = std::sqrt(w0*w0+mij0[i][j]*mij0[i][j]);
|
||||
mij[i][j] = m;
|
||||
tij[i][j] = t;
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
/*
|
||||
Input: surface index i
|
||||
Output: k0=\iint_{T_{i}} 1/R which is given in equations (24) and (25)
|
||||
*/
|
||||
void M3D::compute_1_R(unsigned int i, double &k0)
|
||||
{
|
||||
double w0 = wi0[i];
|
||||
double temp_k=0.;
|
||||
|
||||
for(int j=0; j<3; j++) {
|
||||
double part1=0, part2=0;
|
||||
if(std::abs(w0)>TOL) {
|
||||
double beta = std::atan((mij0[i][j]*Sij_plus[i][j])/(Rij0[i][j]*Rij0[i][j]+std::abs(w0)*Rij_plus[i][j]))
|
||||
- std::atan((mij0[i][j]*Sij_minus[i][j])/(Rij0[i][j]*Rij0[i][j]+std::abs(w0)*Rij_minus[i][j]));
|
||||
part2 = std::abs(w0)*beta;
|
||||
}
|
||||
double mj0 = mij0[i][j];
|
||||
if(std::abs(mj0)>TOL) {
|
||||
part1 = mj0*std::log((Rij_plus[i][j]+Sij_plus[i][j])/(Rij_minus[i][j]+Sij_minus[i][j]));
|
||||
}
|
||||
temp_k += part1 - part2;
|
||||
}
|
||||
|
||||
k0 = temp_k;
|
||||
|
||||
return;
|
||||
|
||||
}
|
||||
|
||||
/*
|
||||
Input: surface index i
|
||||
Output: k3=\iint_{T_{i}} 1/R^3 which is given in equations (10), (17), (18) and (19)
|
||||
*/
|
||||
void M3D::compute_1_R3(unsigned int i, double &k3)
|
||||
{
|
||||
double w0 = wi0[i];
|
||||
double w0_not_zero_k3=0.;
|
||||
double w0_is_zero_k3 =0.;
|
||||
|
||||
// 1_R3!=0
|
||||
if(std::abs(w0)>TOL) {
|
||||
for(int j=0; j<3; j++) {
|
||||
double beta = std::atan((mij0[i][j]*Sij_plus[i][j])/(Rij0[i][j]*Rij0[i][j]+std::abs(w0)*Rij_plus[i][j]))
|
||||
- std::atan((mij0[i][j]*Sij_minus[i][j])/(Rij0[i][j]*Rij0[i][j]+std::abs(w0)*Rij_minus[i][j]));
|
||||
w0_not_zero_k3 += (1.0/std::abs(w0))*beta;
|
||||
}
|
||||
}
|
||||
|
||||
if(std::abs(w0)<TOL) {
|
||||
// when w0==0, site r must be outside the triangle
|
||||
// otherwise, there is a singularity in calculating 1/R3 over triangle
|
||||
for(int j=0; j<3; j++) {
|
||||
double m0 = mij0[i][j];
|
||||
if(std::abs(m0)>TOL) {
|
||||
double temp = (Sij_plus[i][j]/Rij_plus[i][j]-Sij_minus[i][j]/Rij_minus[i][j]);
|
||||
w0_is_zero_k3 += temp*(-1.0/m0);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
if(std::abs(w0)>TOL) k3 = w0_not_zero_k3;
|
||||
else k3 = w0_is_zero_k3;
|
||||
|
||||
|
||||
return;
|
||||
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
Input: surface index i
|
||||
Output: Ki=\iint_{T_{i}} \nabla 1/ R which is given in equations (5)
|
||||
where \nabla is on the observation site r
|
||||
*/
|
||||
void M3D::compute_grad_1_R(unsigned int i, Point &Ki)
|
||||
{
|
||||
Point n = ni[i];
|
||||
double w0 = wi0[i];
|
||||
Point temp_k_minus;
|
||||
|
||||
for(int j=0; j<3; j++) {
|
||||
Point part1, part2;
|
||||
if(std::abs(w0)>TOL) {
|
||||
// betaij see equation (11)
|
||||
double betaij= atan((mij0[i][j]*Sij_plus[i][j])/(Rij0[i][j]*Rij0[i][j]+std::abs(w0)*Rij_plus[i][j]))
|
||||
- atan((mij0[i][j]*Sij_minus[i][j])/(Rij0[i][j]*Rij0[i][j]+std::abs(w0)*Rij_minus[i][j]));
|
||||
part2 = n*sgn(w0)*betaij;
|
||||
}
|
||||
double Aij=0.; // see equations (20-22)
|
||||
if(std::abs(Rij0[i][j])>TOL) {
|
||||
Aij = std::log((long double)(Rij_plus[i][j]+Sij_plus[i][j])) - std::log((long double)(Rij_minus[i][j]+Sij_minus[i][j]));
|
||||
}else if(Sij_plus[i][j]>0.&&Sij_minus[i][j]>0.) {
|
||||
Aij = std::log(Sij_plus[i][j]) - std::log(Sij_minus[i][j]);
|
||||
}else if(Sij_plus[i][j]<0.&&Sij_minus[i][j]<0.) {
|
||||
Aij = std::log(Sij_minus[i][j]*-1.0)- std::log(Sij_plus[i][j]*-1.0);
|
||||
}else {
|
||||
std::cout<<"site must not on edge!\n";
|
||||
std::abort();
|
||||
}
|
||||
part1 = mij[i][j]*Aij;
|
||||
temp_k_minus = temp_k_minus + part1 + part2;
|
||||
}
|
||||
|
||||
Ki = temp_k_minus*-1.0;
|
||||
|
||||
return;
|
||||
|
||||
}
|
||||
|
||||
|
||||
|
||||
/*
|
||||
Input: 4 nodes in vector T
|
||||
Output: volume(size) of tetrahedron
|
||||
*/
|
||||
double M3D::get_tri_size(std::vector<Point>& T)
|
||||
{
|
||||
assert(T.size()==3);
|
||||
Point a=T[1]+(T[0]*-1.0);
|
||||
Point b=T[2]+(T[0]*-1.0);
|
||||
Point c=a.cross(b);
|
||||
|
||||
return c.size()*0.5;
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
Input: surface index i
|
||||
Output: k2=\iint_{T_{i}} \nabla \nabla 1/ R which is given in equations (25)
|
||||
where \nabla is on the observation site r
|
||||
*/
|
||||
void M3D::compute_grad_grad_1_R(unsigned int i, double k2[3][3])
|
||||
{
|
||||
this->set(k2, 0.);
|
||||
double temp_k2[3][3];
|
||||
this->set(temp_k2, 0.);
|
||||
double w0 = wi0[i];
|
||||
Point n = ni[i];
|
||||
|
||||
for(int j=0; j<3; j++) {
|
||||
Point grad_Aij(0,0,0); // see equations (37) and (38)
|
||||
if(std::abs(Rij0[i][j])>TOL) {
|
||||
double factor_n_mij = (Sij_plus[i][j]/(Rij0[i][j]*Rij0[i][j]*Rij_plus[i][j]) -
|
||||
Sij_minus[i][j]/(Rij0[i][j]*Rij0[i][j]*Rij_minus[i][j]))*-1.0;
|
||||
double factor_tij = (1.0/Rij_plus[i][j]-1.0/Rij_minus[i][j])*-1.0;
|
||||
grad_Aij = n*(w0*factor_n_mij) + tij[i][j]*factor_tij - mij[i][j]*(mij0[i][j]*factor_n_mij);
|
||||
}else {
|
||||
double factor_tij = (-1.0/Rij_plus[i][j]+1.0/Rij_minus[i][j]);
|
||||
grad_Aij = tij[i][j]*factor_tij;
|
||||
}
|
||||
|
||||
|
||||
Point m = mij[i][j];
|
||||
for(int l=0; l<3; l++) {
|
||||
for(int k=0; k<3; k++) {
|
||||
double temp1 = grad_Aij(l)*m(k)*-1.0;
|
||||
temp_k2[l][k] += temp1;
|
||||
}
|
||||
}
|
||||
|
||||
if(std::abs(w0)>TOL) {
|
||||
Node* a[2];
|
||||
tet.get_facet_edge_ends (a, i, j);
|
||||
Point grad_Rij_plus = (r - (*a[1]))*(1.0/Rij_plus[i][j]);
|
||||
Point grad_Rij_minus = (r - (*a[0]))*(1.0/Rij_minus[i][j]);
|
||||
Point grad_Sij_plus = tij[i][j]*-1.0;
|
||||
Point grad_Sij_minus = tij[i][j]*-1.0;
|
||||
Point grad_w0 = this->ni[i];
|
||||
Point grad_mij0 = this->mij[i][j]*-1.0;
|
||||
Point grad_Rij0 = (n*w0-mij[i][j]*mij0[i][j])*(1.0/Rij0[i][j]);
|
||||
Point grad_abs_wi0 = n*this->sgn(w0);
|
||||
double a_plus = Rij0[i][j]*Rij0[i][j]+std::abs(w0)*Rij_plus[i][j];
|
||||
double b_plus = mij0[i][j]*Sij_plus[i][j];
|
||||
Point grad_a_plus = grad_Rij0*(Rij0[i][j]*2.0) + grad_abs_wi0*Rij_plus[i][j]+grad_Rij_plus*std::abs(w0);
|
||||
Point grad_b_plus = grad_mij0*Sij_plus[i][j]+grad_Sij_plus*mij0[i][j];
|
||||
double a_minus = Rij0[i][j]*Rij0[i][j]+std::abs(w0)*Rij_minus[i][j];
|
||||
double b_minus = mij0[i][j]*Sij_minus[i][j];
|
||||
Point grad_a_minus = grad_Rij0*(Rij0[i][j]*2.0) + grad_abs_wi0*Rij_minus[i][j]+grad_Rij_minus*std::abs(w0);
|
||||
Point grad_b_minus = grad_mij0*Sij_minus[i][j]+grad_Sij_minus*mij0[i][j];
|
||||
Point grad_betaij_plus = (grad_b_plus*a_plus-grad_a_plus*b_plus)*(1.0/(a_plus*a_plus+b_plus*b_plus));
|
||||
Point grad_betaij_minus = (grad_b_minus*a_minus-grad_a_minus*b_minus)*(1.0/(a_minus*a_minus+b_minus*b_minus));
|
||||
|
||||
Point grad_betaij = grad_betaij_plus - grad_betaij_minus; // see equation (11)
|
||||
|
||||
for(int l=0; l<3; l++)
|
||||
for(int k=0; k<3; k++) {
|
||||
double temp2 = this->sgn(w0)*grad_betaij(l)*n(k)*-1.0;
|
||||
temp_k2[l][k] += temp2;
|
||||
}
|
||||
}
|
||||
|
||||
} // loop each facets ends
|
||||
|
||||
if(std::abs(w0)<TOL) {
|
||||
double k3 =0.;
|
||||
this->compute_1_R3(i, k3);
|
||||
for(int l=0; l<3; l++) {
|
||||
for(int k=0; k<3; k++) {
|
||||
double temp3 = k3*n(l)*n(k)*-1.0; // only need for w0=0
|
||||
temp_k2[l][k]+= temp3;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// copy k2 = temp_k2
|
||||
for(int l=0; l<3; l++)
|
||||
for(int k=0; k<3; k++)
|
||||
k2[l][k] = temp_k2[l][k];
|
||||
|
||||
|
||||
return;
|
||||
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
a=b
|
||||
*/
|
||||
void M3D::set(double a[3][3], double b)
|
||||
{
|
||||
for(int i=0; i<3; i++)
|
||||
for(int j=0; j<3; j++) a[i][j]=b;
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
sign of real number m
|
||||
*/
|
||||
double M3D::sgn(const double m)
|
||||
{
|
||||
if (std::abs(m)<TOL) return 0.;
|
||||
else return m/std::abs(m);
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
calculate the magnetic potential V in equation (24)
|
||||
*/
|
||||
void M3D::V(double& v)
|
||||
{
|
||||
double temp_V=0.;
|
||||
Point M = this->tet.get_M();
|
||||
|
||||
for(int i=0; i<4; i++) {
|
||||
double k0;
|
||||
this->compute_1_R(i, k0);
|
||||
double mdotn = M*ni[i];
|
||||
temp_V+= k0*mdotn;
|
||||
}
|
||||
v = temp_V*Cm;
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
/*
|
||||
calculate the magnetic field B in equation (4)
|
||||
*/
|
||||
void M3D::B(Point& b)
|
||||
{
|
||||
Point temp_B(0,0,0);
|
||||
Point M = this->tet.get_M();
|
||||
|
||||
for(int i=0; i<4; i++) {
|
||||
Point k1(0,0,0);
|
||||
this->compute_grad_1_R(i, k1);
|
||||
double mdotn = M*ni[i];
|
||||
temp_B = temp_B + k1*mdotn;
|
||||
}
|
||||
b = temp_B*(Cm*-1.0);
|
||||
|
||||
return ;
|
||||
}
|
||||
|
||||
/*
|
||||
calculate the magnetic gradient tensor T in equation (26)
|
||||
*/
|
||||
void M3D::T(double tb[3][3])
|
||||
{
|
||||
double temp_tb[3][3];
|
||||
this->set(temp_tb, 0);
|
||||
Point M = this->tet.get_M();
|
||||
|
||||
for(int i=0; i<4; i++) {
|
||||
double k2[3][3];
|
||||
this->compute_grad_grad_1_R(i, k2);
|
||||
double mdotn = M*ni[i];
|
||||
for(int l=0; l<3; l++) {
|
||||
for(int k=0; k<3; k++) {
|
||||
temp_tb[l][k] += k2[l][k]*mdotn*Cm*-1.0;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// tb = temp_tb
|
||||
for(int i=0; i<3; i++)
|
||||
for(int j=0; j<3; j++)
|
||||
tb[i][j] = temp_tb[i][j];
|
||||
|
||||
return ;
|
||||
|
||||
|
||||
}
|
||||
|
58
m3d/src/m3d.h
Executable file
58
m3d/src/m3d.h
Executable file
@ -0,0 +1,58 @@
|
||||
#ifndef _M3D_H
|
||||
#define _M3D_H
|
||||
|
||||
// C++ includes
|
||||
#include <vector>
|
||||
#include <cassert>
|
||||
#include <cmath>
|
||||
#include <iostream>
|
||||
#include <fstream>
|
||||
#include <string>
|
||||
#include <iomanip>
|
||||
|
||||
#include "node.h"
|
||||
#include "tet.h"
|
||||
#include "grid.h"
|
||||
|
||||
class M3D
|
||||
{
|
||||
public:
|
||||
M3D(Tet& tet, Point r);
|
||||
|
||||
void V(double& v);
|
||||
void B(Point& b);
|
||||
void T(double tb[3][3]);
|
||||
|
||||
double sgn(const double m);
|
||||
void set(double a[3][3], double b);
|
||||
void compute_1_R(unsigned int i, double &k0);
|
||||
void compute_grad_1_R(unsigned int i, Point &k1);
|
||||
void compute_grad_grad_1_R(unsigned int i, double k2[3][3]);
|
||||
void compute_1_R3(unsigned int i, double &k3);
|
||||
const double TOL;
|
||||
const double Cm ;
|
||||
double get_tri_size(std::vector<Point>& T);
|
||||
|
||||
private:
|
||||
// variables for edges
|
||||
double Rij_minus[4][3]; // equation (15)
|
||||
double Rij_plus [4][3]; // equation (14)
|
||||
double Sij_minus[4][3]; // equation (8)
|
||||
double Sij_plus [4][3]; // equation (9)
|
||||
double Rij0 [4][3]; // equation (13)
|
||||
double mij0 [4][3]; // mij0 is constant along edge eij
|
||||
Point mij [4][3]; // mij is the outgoing normal vector of edge eij
|
||||
Point tij [4][3]; // tij is the tangential normal vector of edge eij
|
||||
// variables for facets
|
||||
Point ni [4]; // ni is the outgoing normal vector of surface Ti
|
||||
double wi0 [4]; // equation (8)
|
||||
Point oi [4]; // oi is the projection point of site r on surface Ti
|
||||
// observation site and source element
|
||||
Tet& tet; // a tetrahedron
|
||||
Point r; // an observation site
|
||||
};
|
||||
|
||||
|
||||
#endif // _M3D_H
|
||||
|
||||
|
110
m3d/src/node.h
Executable file
110
m3d/src/node.h
Executable file
@ -0,0 +1,110 @@
|
||||
#ifndef _NODE_H
|
||||
#define _NODE_H
|
||||
|
||||
// C++ includes
|
||||
#include <iomanip>
|
||||
#include <string>
|
||||
#include "point.h"
|
||||
|
||||
#define INVALID_UNIT
|
||||
class Node : public Point
|
||||
{
|
||||
public:
|
||||
Node (const double x=.0,
|
||||
const double y=.0,
|
||||
const double z=.0,
|
||||
const unsigned int id=0);
|
||||
Node (const Node& n);
|
||||
Node (const Point p,
|
||||
const unsigned int id =0);
|
||||
~Node ();
|
||||
|
||||
friend std::ostream& operator <<(std::ostream& os, const Node& node);
|
||||
|
||||
// Overload operators.
|
||||
Node& operator= (const Node& node);
|
||||
bool operator == (const Node& node);
|
||||
bool operator < (const Node& v) const;
|
||||
|
||||
void set_id(const unsigned int id) { _id=id; }
|
||||
unsigned int get_id() { return _id; }
|
||||
public:
|
||||
unsigned int _id;
|
||||
};
|
||||
|
||||
|
||||
//-----------------------------------------------------------------------
|
||||
inline
|
||||
Node::Node (const double x, const double y,const double z,
|
||||
const unsigned int id) :
|
||||
Point (x,y,z),
|
||||
_id (id)
|
||||
{
|
||||
}
|
||||
|
||||
inline
|
||||
Node::Node (const Node& n):
|
||||
Point (n),
|
||||
_id (n._id)
|
||||
{
|
||||
}
|
||||
|
||||
inline
|
||||
Node::Node (const Point p,
|
||||
const unsigned int id ):
|
||||
Point(p),
|
||||
_id (id)
|
||||
{
|
||||
}
|
||||
|
||||
inline
|
||||
Node::~Node ()
|
||||
{
|
||||
}
|
||||
|
||||
|
||||
|
||||
inline
|
||||
Node & Node::operator= (const Node& node)
|
||||
{
|
||||
(*this)(0) = node(0);
|
||||
(*this)(1) = node(1);
|
||||
(*this)(2) = node(2);
|
||||
_id = node._id;
|
||||
|
||||
return *this;
|
||||
}
|
||||
|
||||
inline
|
||||
bool Node::operator== (const Node& node)
|
||||
{
|
||||
if(_id!=node._id)
|
||||
return false;
|
||||
else
|
||||
{
|
||||
//compare the coordinates.
|
||||
return Point(*this)==Point(node);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
bool Node::operator < (const Node& rhs) const
|
||||
{
|
||||
// Only compare xyz location.
|
||||
return (Point)(*this)<(Point)(rhs);
|
||||
}
|
||||
|
||||
|
||||
|
||||
inline
|
||||
std::ostream& operator <<(std::ostream& os, const Node& node)
|
||||
{
|
||||
os<<node._id
|
||||
<<"\t"<<node._coords[0]
|
||||
<<"\t"<<node._coords[1]
|
||||
<<"\t"<<node._coords[2];
|
||||
return os;
|
||||
}
|
||||
|
||||
#endif // NODE_H
|
218
m3d/src/point.h
Executable file
218
m3d/src/point.h
Executable file
@ -0,0 +1,218 @@
|
||||
#ifndef _POINT_H
|
||||
#define _POINT_H
|
||||
|
||||
// C++ includes
|
||||
#include <cmath>
|
||||
#include <cassert>
|
||||
#include <iostream>
|
||||
|
||||
|
||||
class Point
|
||||
{
|
||||
public:
|
||||
Point (const double x=0., const double y=0., const double z=0.);
|
||||
Point (const Point& p);
|
||||
virtual ~Point ();
|
||||
|
||||
friend std::ostream& operator <<(std::ostream& os, const Point& point);
|
||||
|
||||
// Overload operators.
|
||||
Point& operator=(const Point& p);
|
||||
double operator () (const unsigned int i) const;
|
||||
double & operator () (const unsigned int i);
|
||||
Point operator + (const Point& v) const;
|
||||
Point operator - (const Point& v) const;
|
||||
Point operator * (const double a) const;
|
||||
double operator *(const Point& v) const;
|
||||
bool operator == (const Point& v) const;
|
||||
bool operator < (const Point& v) const;
|
||||
void operator = (const double a);
|
||||
|
||||
// Math functions
|
||||
Point cross(const Point& v) const;
|
||||
Point unit() const;
|
||||
double size() const;
|
||||
void zero();
|
||||
double* get_xyz() { return _coords; }
|
||||
|
||||
protected:
|
||||
double _coords[3];
|
||||
const double TOL ;
|
||||
|
||||
};
|
||||
|
||||
|
||||
//-----------------------------------------------------------------------
|
||||
inline
|
||||
Point::Point (const double x,
|
||||
const double y,
|
||||
const double z):
|
||||
TOL (1e-10)
|
||||
{
|
||||
_coords[0] = x; _coords[1] = y; _coords[2] = z;
|
||||
}
|
||||
|
||||
inline
|
||||
Point::Point (const Point &p):
|
||||
TOL (1e-10)
|
||||
{
|
||||
for (unsigned int i=0; i<3; i++)
|
||||
_coords[i] = p._coords[i];
|
||||
}
|
||||
|
||||
inline
|
||||
Point& Point::operator=(const Point& p)
|
||||
{
|
||||
_coords[0] = p._coords[0];
|
||||
_coords[1] = p._coords[1];
|
||||
_coords[2] = p._coords[2];
|
||||
|
||||
return (*this);
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
Point::~Point ()
|
||||
{
|
||||
//no space is allocated by the new operator.
|
||||
//so,there is no delete [].
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
double Point::operator ()(const unsigned int i) const
|
||||
{
|
||||
assert (i<3);
|
||||
return _coords[i];
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
double & Point::operator () (const unsigned int i)
|
||||
{
|
||||
assert (i<3);
|
||||
return _coords[i];
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
Point Point::operator + (const Point &p) const
|
||||
{
|
||||
return Point(_coords[0] + p._coords[0],
|
||||
_coords[1] + p._coords[1],
|
||||
_coords[2] + p._coords[2]);
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
inline
|
||||
Point Point::operator - (const Point& p) const
|
||||
{
|
||||
return Point(_coords[0] - p._coords[0],
|
||||
_coords[1] - p._coords[1],
|
||||
_coords[2] - p._coords[2]);
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
Point Point::operator * (const double factor) const
|
||||
{
|
||||
return Point(_coords[0]*factor, _coords[1]*factor,_coords[2]*factor);
|
||||
}
|
||||
|
||||
|
||||
|
||||
inline
|
||||
double Point::operator * (const Point&p) const
|
||||
{
|
||||
return (_coords[0]*p(0) + _coords[1]*p(1) + _coords[2]*p(2));
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
inline
|
||||
bool Point::operator == (const Point& rhs) const
|
||||
{
|
||||
return ((fabs(_coords[0] - rhs._coords[0]) +
|
||||
fabs(_coords[1] - rhs._coords[1]) +
|
||||
fabs(_coords[2] - rhs._coords[2])) < 3*TOL);
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
bool Point::operator < (const Point& rhs) const
|
||||
{
|
||||
//First we assume (this)<rhs true
|
||||
if (*this == rhs) return false;
|
||||
if ((*this)(0) < rhs(0)) return true; // <
|
||||
else if ((*this)(0) > rhs(0)) return false;// >
|
||||
else if (std::abs((*this)(0)-rhs(0))<1e-6){//vx=rhsx
|
||||
if ((*this)(1) < rhs(1)) return true;
|
||||
else if ((*this)(1) > rhs(1)) return false;
|
||||
else if (std::abs((*this)(1)-rhs(1))<1e-6){//vy=rhsy
|
||||
if ((*this)(2) < rhs(2)) return true;
|
||||
else if ((*this)(2) > rhs(2)) return false;
|
||||
}
|
||||
}
|
||||
return false;
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
void Point::operator = (const double a)
|
||||
{
|
||||
_coords[0] = a; _coords[1] = a; _coords[2] = a;
|
||||
}
|
||||
|
||||
|
||||
|
||||
inline
|
||||
Point Point::cross(const Point& p) const
|
||||
{
|
||||
return Point(_coords[1]*p._coords[2] - _coords[2]*p._coords[1],
|
||||
-_coords[0]*p._coords[2] + _coords[2]*p._coords[0],
|
||||
_coords[0]*p._coords[1] - _coords[1]*p._coords[0]);
|
||||
}
|
||||
|
||||
|
||||
|
||||
inline
|
||||
Point Point::unit() const
|
||||
{
|
||||
const double length = size();
|
||||
return Point(_coords[0]/length,
|
||||
_coords[1]/length,
|
||||
_coords[2]/length);
|
||||
}
|
||||
|
||||
inline
|
||||
double Point::size() const
|
||||
{
|
||||
double value= std::pow(_coords[0],2)+
|
||||
std::pow(_coords[1],2)+
|
||||
std::pow(_coords[2],2);
|
||||
|
||||
return std::sqrt(value);
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
void Point::zero()
|
||||
{
|
||||
_coords[0]=0.;
|
||||
_coords[1]=0.;
|
||||
_coords[2]=0.;
|
||||
|
||||
}
|
||||
|
||||
inline
|
||||
std::ostream& operator <<(std::ostream& os, const Point& point)
|
||||
{
|
||||
os<<point(0)<<"\t"<<point(1)<<"\t"<<point(2);
|
||||
return os;
|
||||
}
|
||||
|
||||
|
||||
#endif // _POINT_H
|
239
m3d/src/tet.h
Executable file
239
m3d/src/tet.h
Executable file
@ -0,0 +1,239 @@
|
||||
/*
|
||||
0
|
||||
TET
|
||||
/|\
|
||||
0 / | \
|
||||
/ | \2
|
||||
/ 1| \
|
||||
1 ..4.|....3
|
||||
\ | /
|
||||
\ | /
|
||||
3 \ | /5
|
||||
\|/
|
||||
|
||||
2
|
||||
*/
|
||||
|
||||
|
||||
#ifndef _TET_H
|
||||
#define _TET_H
|
||||
|
||||
#include <cstdlib>
|
||||
#include "node.h"
|
||||
|
||||
class Tet
|
||||
{
|
||||
public:
|
||||
Tet (unsigned int id, Node* v[4], Point M);
|
||||
unsigned int get_id () { return _id;}
|
||||
Point get_M() { return _M;}
|
||||
unsigned int get_node_id(unsigned int i);
|
||||
void get_nodes(Node* nodes[4]);
|
||||
void get_facet(Node* facet[3], unsigned int i);
|
||||
void get_facet_normal_vector(Point& n,unsigned int i);
|
||||
void get_facet_edge_nodes(Node* v[2], unsigned int i, unsigned int j);
|
||||
void get_facet_edge_normal(Point& m, unsigned int i, unsigned int j);
|
||||
void get_facet_edge_tangential(Point& t, unsigned int i, unsigned int j);
|
||||
void get_facet_edge_ends (Node* a[2], unsigned int i, unsigned int j);
|
||||
double get_size();
|
||||
private:
|
||||
unsigned int _id;
|
||||
Node* _v[4];
|
||||
Point _M;
|
||||
};
|
||||
|
||||
|
||||
|
||||
|
||||
inline
|
||||
Tet::Tet(unsigned int id,
|
||||
Node* v[4],
|
||||
Point M)
|
||||
{
|
||||
this->_id = id;
|
||||
for(unsigned int i=0; i<4; i++) this->_v[i]=v[i];
|
||||
this->_M = M;
|
||||
|
||||
}
|
||||
|
||||
inline double Tet::get_size()
|
||||
{
|
||||
const Point & a=(*_v[1])+((*_v[0])*-1.0);
|
||||
const Point & b=(*_v[1])+((*_v[2])*-1.0);
|
||||
const Point & c=(*_v[1])+((*_v[3])*-1.0);
|
||||
return std::abs( a*(c.cross(b)) )/6.;
|
||||
}
|
||||
|
||||
inline
|
||||
unsigned int Tet::get_node_id(unsigned int i)
|
||||
{
|
||||
assert(i<4);
|
||||
return this->_v[i]->get_id();
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
void Tet::get_nodes(Node* nodes[4])
|
||||
{
|
||||
for(int i=0; i<4; i++) nodes[i] = this->_v[i];
|
||||
return;
|
||||
}
|
||||
|
||||
inline
|
||||
void Tet::get_facet(Node* facet[3], unsigned int i)
|
||||
{
|
||||
assert(i<4);
|
||||
switch(i) {
|
||||
case 0:
|
||||
facet[0] = _v[1]; facet[1] = _v[2]; facet[2] = _v[3];
|
||||
break;
|
||||
case 1:
|
||||
facet[0] = _v[0]; facet[1] = _v[2]; facet[2] = _v[3];
|
||||
break;
|
||||
case 2:
|
||||
facet[0] = _v[0]; facet[1] = _v[1]; facet[2] = _v[3];
|
||||
break;
|
||||
case 3:
|
||||
facet[0] = _v[0]; facet[1] = _v[1]; facet[2] = _v[2];
|
||||
break;
|
||||
default:
|
||||
std::abort();
|
||||
}
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
void Tet::get_facet_normal_vector(Point& n,unsigned int i)
|
||||
{
|
||||
Point normal, facet_center;
|
||||
assert(i<4);
|
||||
switch(i) {
|
||||
case 0:
|
||||
normal = ((*_v[3])-(*_v[2])).cross((*_v[1])-(*_v[2])).unit();
|
||||
facet_center = ((*_v[1])+(*_v[2])+(*_v[3]))*(1.0/3.0);
|
||||
break;
|
||||
case 1:
|
||||
normal = ((*_v[0])-(*_v[3])).cross((*_v[2])-(*_v[3])).unit();
|
||||
facet_center = ((*_v[0])+(*_v[2])+(*_v[3]))*(1.0/3.0);
|
||||
break;
|
||||
case 2:
|
||||
normal = ((*_v[3])-(*_v[0])).cross((*_v[1])-(*_v[0])).unit();
|
||||
facet_center = ((*_v[0])+(*_v[1])+(*_v[3]))*(1.0/3.0);
|
||||
break;
|
||||
case 3:
|
||||
normal = ((*_v[2])-(*_v[1])).cross((*_v[0])-(*_v[1])).unit();
|
||||
facet_center = ((*_v[0])+(*_v[1])+(*_v[2]))*(1.0/3.0);
|
||||
break;
|
||||
default:
|
||||
std::abort();
|
||||
}
|
||||
|
||||
Point center = ((*_v[0])+(*_v[1])+(*_v[2])+(*_v[3]))*(0.25);
|
||||
// we need outgoing normal vector
|
||||
if(normal*(facet_center-center)<0.0) normal= normal*-1.0;
|
||||
|
||||
n = normal;
|
||||
return;
|
||||
|
||||
}
|
||||
|
||||
|
||||
/* 1
|
||||
0---------2
|
||||
\ /
|
||||
\ /
|
||||
2 \ / 0
|
||||
\/
|
||||
1
|
||||
*/
|
||||
inline
|
||||
void Tet::get_facet_edge_nodes(Node* v[2], unsigned int i, unsigned int j)
|
||||
{
|
||||
assert(i<4);
|
||||
assert(j<3);
|
||||
Node* facet[3];
|
||||
this->get_facet(facet, i);
|
||||
switch(j) {
|
||||
case 0:
|
||||
v[0] = facet[1]; v[1] = facet[2];
|
||||
break;
|
||||
case 1:
|
||||
v[0] = facet[2]; v[1] = facet[0];
|
||||
break;
|
||||
case 2:
|
||||
v[0] = facet[0]; v[1] = facet[1];
|
||||
break;
|
||||
default:
|
||||
std::abort();
|
||||
}
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
inline
|
||||
void Tet::get_facet_edge_normal(Point& m, unsigned int i, unsigned int j)
|
||||
{
|
||||
assert(i<4);
|
||||
assert(j<3);
|
||||
Node* v[2];
|
||||
this->get_facet_edge_nodes(v, i, j);
|
||||
Point t = ((*v[1])-(*v[0])).unit();
|
||||
Point n;
|
||||
this->get_facet_normal_vector(n, i);
|
||||
Point temp_m = t.cross(n);
|
||||
// we need outgoing normal on edge
|
||||
Node* facet[3];
|
||||
this->get_facet(facet, i);
|
||||
Point facet_center = ((*facet[0])+(*facet[1])+(*facet[2]))*(1.0/3.0);
|
||||
Point edge_center = ((*v[1])+(*v[0]))*0.5;
|
||||
if(temp_m*(edge_center-facet_center)<0.0) temp_m= temp_m*-1.0;
|
||||
|
||||
m = temp_m;
|
||||
return;
|
||||
}
|
||||
|
||||
inline
|
||||
void Tet::get_facet_edge_tangential(Point& t, unsigned int i, unsigned int j)
|
||||
{
|
||||
assert(i<4);
|
||||
assert(j<3);
|
||||
Point m;
|
||||
this->get_facet_edge_normal(m, i, j);
|
||||
Point n;
|
||||
this->get_facet_normal_vector(n, i);
|
||||
t = n.cross(m);
|
||||
}
|
||||
|
||||
|
||||
|
||||
/*
|
||||
a[0]-----------a[1]
|
||||
(a-) (a+)
|
||||
*/
|
||||
inline
|
||||
void Tet::get_facet_edge_ends (Node* a[2], unsigned int i, unsigned int j)
|
||||
{
|
||||
assert(i<4);
|
||||
assert(j<3);
|
||||
Point t;
|
||||
this->get_facet_edge_tangential(t, i, j);
|
||||
Node* v[2];
|
||||
this->get_facet_edge_nodes(v, i, j);
|
||||
|
||||
Point temp_t = ((*v[1])-(*v[0])).unit();
|
||||
if(t*temp_t>0.0) {
|
||||
a[0] = v[0];
|
||||
a[1] = v[1];
|
||||
}else if(t*temp_t<0.) {
|
||||
a[0] = v[1];
|
||||
a[1] = v[0];
|
||||
}
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
|
||||
#endif // _Tet_h
|
||||
|
||||
|
65
m3d/test/Readme
Executable file
65
m3d/test/Readme
Executable file
@ -0,0 +1,65 @@
|
||||
1. Compile the code
|
||||
cd test
|
||||
make m3d
|
||||
|
||||
2. Run examples
|
||||
cd prism
|
||||
../m3d cube.node cube.ele site.dat
|
||||
cd pipeline
|
||||
../m3d pipeline.node pipeline.ele site.dat
|
||||
|
||||
3. Plot results using matlab (higer version of matlab is needed)
|
||||
cd prism
|
||||
run plot_profile.m
|
||||
cd pipeline
|
||||
run plot_contour.m
|
||||
|
||||
4. files in package m3d
|
||||
src/------------------contains all source files
|
||||
test/m3d--------------the main program
|
||||
test/test_m3d.cpp-----main file to generate the m3d program
|
||||
test/makefile---------makefile to compile the package "m3d"
|
||||
test/prism ---------prism example
|
||||
test/prism/cube.node--the input node file
|
||||
test/prism/cube.ele---the input element file
|
||||
test/prism/site.dat---the input observation site file
|
||||
test/prism/V.dat------the output magnetic potential file
|
||||
test/prism/B.dat------the output magnetic field file in unit of nT
|
||||
test/prism/T.dat------the output magnetic gradient tensor file in unit of nT/m
|
||||
test/prism/xyz.dat----the output coordinates of observation sites file
|
||||
test/prism/heath2005_results.dat---the closed-form solutions given by Heath et al.(2005,
|
||||
Modelling gravity and magnetic gradient tensor responses for
|
||||
exploration within the regolith: Exploration Geophysics, 36,
|
||||
357–364), in unit of nT/m
|
||||
test/prism/plot_profile.m ---matlab file to generate the figures of the draft
|
||||
|
||||
test/pipeline ---------pipeline example
|
||||
test/pipeline/pipeline.node--the input node file
|
||||
test/pipeline/pipeline.ele---the input element file
|
||||
test/pipeline/site.dat---the input observation site file
|
||||
test/pipeline/V.dat------the output magnetic potential file
|
||||
test/pipeline/B.dat------the output magnetic field file in unit of nT
|
||||
test/pipeline/T.dat------the output magnetic gradient tensor file in unit of nT/m
|
||||
test/pipeline/xyz.dat----the output coordinates of observation sites file
|
||||
test/pipeline/plot_contour.m and test/pipeline/xyz2XYZ.m ---two matlab files to
|
||||
generate the figures.
|
||||
|
||||
|
||||
5. format for input files
|
||||
5.1 node file and site file
|
||||
the number of 3D points
|
||||
each line is id, x, y, z
|
||||
5.2 element file
|
||||
the number of elements
|
||||
each line is element id, id of 4 nodes(id is defined in node file), magnetization vector M(Mx,My,Mz)
|
||||
|
||||
6. format for output file. Please see the main body of the article (section Implementation)
|
||||
|
||||
|
||||
Zhengyong Ren
|
||||
Central south university, changsha, China
|
||||
renzhengyong@csu.edu.cn
|
||||
2017-02-26
|
||||
|
||||
These files may be found in:
|
||||
http://software.seg.org/2017/0006
|
BIN
m3d/test/m3d
Executable file
BIN
m3d/test/m3d
Executable file
Binary file not shown.
21
m3d/test/makefile
Executable file
21
m3d/test/makefile
Executable file
@ -0,0 +1,21 @@
|
||||
|
||||
CXX := g++
|
||||
CXXFLAGS := -Xpreprocessor -fopenmp -O2 -lomp
|
||||
M3DINCLUDE := -I../src
|
||||
|
||||
INCS:= $(wildcard ../src/*.h)
|
||||
SRCS:= $(wildcard ../src/*.cpp)
|
||||
OBJS:= $(patsubst %.cpp, %.o, $(SRCS))
|
||||
|
||||
|
||||
# How to compile C++
|
||||
%.o : %.cpp
|
||||
$(CXX) $(CXXFLAGS) $(M3DINCLUDE) -c $< -o $@
|
||||
|
||||
|
||||
#--------------------------------------------------------------
|
||||
m3d: $(OBJS) $(INCS) test_m3d.o
|
||||
$(CXX) $(CXXFLAGS) -o m3d test_m3d.o $(OBJS)
|
||||
clean:
|
||||
@rm -rf *.o *~ $(OBJS) *.vtk m3d
|
||||
|
441
m3d/test/pipeline/B.dat
Normal file
441
m3d/test/pipeline/B.dat
Normal file
@ -0,0 +1,441 @@
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
-2.71274204790929 -4.280248460428405e-05 -2.664384077871143
|
||||
-2.572992097003047 0.3857463398832708 -2.610830216331364
|
||||
-2.216278141950328 0.6557897799764911 -2.459823993267467
|
||||
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|
||||
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|
||||
-1.009375528965734 0.695645430273823 -1.718221094773899
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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441
m3d/test/pipeline/T.dat
Normal file
441
m3d/test/pipeline/T.dat
Normal file
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||||
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0.1107354687468149 -1.141905031407236e-06 -28.05564392604436 -1.139202335906703e-06 27.77837446431248 -2.548154304117562e-05 -28.05564392549207 -2.54803985959769e-05 -27.88910993364254
|
||||
0.08749076106715385 -11.96802724527715 -14.08166788691026 -11.9680273467498 3.536380187116984 -19.5813289485722 -14.08166782784988 -19.58132895426448 -3.623870948866672
|
||||
0.0635838673239302 -7.37001140044447 -2.554545748861938 -7.370011395640835 -6.962002489256149 -6.962005384208312 -2.554545755895351 -6.962005383279985 6.898418619318949
|
||||
0.05155949010588545 -3.270246283498258 0.09809226928190405 -3.270246285488787 -4.66353092808713 -0.9292434786824463 0.09809227137450448 -0.9292434783938154 4.611971432711932
|
||||
0.04303045098840578 -1.474031268067178 0.4203962825401731 -1.474031270497189 -2.450925971602763 0.4221513994042782 0.4203962868685927 0.4221513999903746 2.407895518414973
|
||||
0.03553485490284438 -0.7182126019976878 0.3480497241042133 -0.718212507979352 -1.297217839199422 0.5675207652631141 0.3480494734654817 0.5675207453841536 1.261683041543083
|
||||
0.02883932544387523 -0.3778715497753291 0.2459529560515899 -0.3778715497749968 -0.7231446492690622 0.4740174512533504 0.2459529556221372 0.4740174518056502 0.6943053230036562
|
||||
0.02305488552252165 -0.2119657698571807 0.1685465779102145 -0.2119657704753101 -0.4259686364220304 0.3603619935362103 0.1685465810433799 0.3603619929949893 0.4029137503293763
|
||||
0.01823145831146926 -0.1252132689844764 0.1157208352128281 -0.125213268364318 -0.2635088657116856 0.2682673514553767 0.1157208334046742 0.2682673513535448 0.2452774083603105
|
||||
0.01432049777330259 -0.07713460057757009 0.08041890168556544 -0.07713460048770117 -0.169921570169084 0.1999939794290977 0.08041890135735921 0.1999939791273462 0.1556010765564269
|
||||
0.01121238682223039 -0.04919054307147983 0.05674407850174978 -0.04919054387358873 -0.1134656339311074 0.1504827599579237 0.05674408365045813 0.1504827595271848 0.1022532488015433
|
441
m3d/test/pipeline/V.dat
Normal file
441
m3d/test/pipeline/V.dat
Normal file
@ -0,0 +1,441 @@
|
||||
1.628921066230654e-09
|
||||
1.807097944213176e-09
|
||||
1.998204429587379e-09
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||||
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||||
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||||
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-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
|
||||
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -24 0
|
||||
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
|
||||
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
|
||||
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
|
||||
-24 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
|
||||
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
|
||||
-23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0 -23 0
|
||||
-24 0 0 0 0 23 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 23 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 23 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 2851 332 300 MP stroke
|
||||
0 22 0 22 0 1 24 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 24 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 24 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 24 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 23 0 23 0
|
||||
23 0 23 0 23 0 23 0 23 0 23 0 570 287 103 MP stroke
|
||||
/c9 { 0.000000 0.000000 1.000000 sr} bdef
|
||||
c9
|
||||
-23 -16 -2 -1 -22 -12 -23 -8 -6 -2 -17 -6 -23 -9 -21 -7
|
||||
-2 -1 -23 -10 -23 -6 -17 -5 -6 -2 -23 -8 -23 -8 -20 -5
|
||||
-3 0 -23 -3 -23 -5 -23 -5 -23 -5 -23 -3 -8 -1 -15 -1
|
||||
-23 -2 -23 -2 -23 -3 -23 -1 -23 -1 -23 0 -23 -1 -23 -1
|
||||
-24 0 -23 1 -23 0 -23 1 -23 1 -23 2 -23 1 -23 2
|
||||
-23 3 -12 1 -11 2 -23 3 -23 3 -23 4 -23 6 -20 4
|
||||
-3 1 -23 5 -23 7 -23 9 -1 1 -22 6 -23 8 -20 8
|
||||
-3 1 -23 6 -23 6 -23 8 -2 1 -22 14 0 8 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 23 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 23
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 8 2851 986 100 MP
|
||||
23 6 23 4 19 2 4 0 23 2 23 2 23 3 23 2
|
||||
23 0 23 1 23 1 23 1 24 0 23 -1 23 0 23 -1
|
||||
23 -1 23 -1 23 -1 23 -2 23 -2 23 -3 1 0 22 -3
|
||||
23 -3 23 -4 23 -5 23 -5 9 -2 14 -4 23 -5 23 -9
|
||||
13 -5 10 -3 23 -7 23 -8 8 -4 15 -4 23 -6 23 -6
|
||||
13 -6 10 -6 24 -13 8 -3 15 -5 23 -15 2 -2 20 -22
|
||||
1 -1 23 -15 6 -6 17 -15 12 -7 11 -6 23 -13 2 -3
|
||||
11 -22 10 -22 0 0 17 -22 6 -13 4 -9 10 -22 9 -19
|
||||
2 -4 11 -22 5 -22 5 -17 1 -5 6 -22 3 -22 2 -22
|
||||
-1 -22 -5 -22 -5 -22 -1 -4 -4 -18 -2 -22 -8 -22 -9 -18
|
||||
-3 -4 -11 -23 -9 -17 -2 -5 -11 -22 -10 -14 -6 -8 -17 -18
|
||||
-4 -4 -19 -20 -2 -2 -20 -22 -1 -1 -23 -21 -1 0 -22 -16
|
||||
-9 -6 -14 -11 -17 -11 -6 -5 100 AP
|
||||
24 8 18 6 5 2 23 8 23 9 8 3 15 8 23 6
|
||||
23 7 6 1 17 6 23 8 23 8 7 1 16 2 23 4
|
||||
23 4 17 AP
|
||||
PP
|
||||
0 sg
|
||||
0 0 24 8 18 6 5 2 23 8 23 9 8 3 15 8
|
||||
23 6 23 7 6 1 17 6 23 8 23 8 7 1 16 2
|
||||
23 4 23 4 23 6 23 4 19 2 4 0 23 2 23 2
|
||||
23 3 23 2 23 0 23 1 23 1 23 1 24 0 23 -1
|
||||
23 0 23 -1 23 -1 23 -1 23 -1 23 -2 23 -2 23 -3
|
||||
1 0 22 -3 23 -3 23 -4 23 -5 23 -5 9 -2 14 -4
|
||||
23 -5 23 -9 13 -5 10 -3 23 -7 23 -8 8 -4 15 -4
|
||||
23 -6 23 -6 13 -6 10 -6 24 -13 8 -3 15 -5 23 -15
|
||||
2 -2 20 -22 1 -1 23 -15 6 -6 17 -15 12 -7 11 -6
|
||||
23 -13 2 -3 11 -22 10 -22 0 0 17 -22 6 -13 4 -9
|
||||
10 -22 9 -19 2 -4 11 -22 5 -22 5 -17 1 -5 6 -22
|
||||
3 -22 2 -22 -1 -22 -5 -22 -5 -22 -1 -4 -4 -18 -2 -22
|
||||
-8 -22 -9 -18 -3 -4 -11 -23 -9 -17 -2 -5 -11 -22 -10 -14
|
||||
-6 -8 -17 -18 -4 -4 -19 -20 -2 -2 -20 -22 -1 -1 -23 -21
|
||||
-1 0 -22 -16 -9 -6 -14 -11 -17 -11 -6 -5 -23 -16 -2 -1
|
||||
-22 -12 -23 -8 -6 -2 -17 -6 -23 -9 -21 -7 -2 -1 -23 -10
|
||||
-23 -6 -17 -5 -6 -2 -23 -8 -23 -8 -20 -5 -3 0 -23 -3
|
||||
-23 -5 -23 -5 -23 -5 -23 -3 -8 -1 -15 -1 -23 -2 -23 -2
|
||||
-23 -3 -23 -1 -23 -1 -23 0 -23 -1 -23 -1 -24 0 -23 1
|
||||
-23 0 -23 1 -23 1 -23 2 -23 1 -23 2 -23 3 -12 1
|
||||
-11 2 -23 3 -23 3 -23 4 -23 6 -20 4 -3 1 -23 5
|
||||
-23 7 -23 9 -1 1 -22 6 -23 8 -20 8 -3 1 -23 6
|
||||
-23 6 -23 8 -2 1 -22 14 0 8 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 23
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 23 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 8 2851 986 218 MP stroke
|
||||
/c10 { 0.000000 0.500000 1.000000 sr} bdef
|
||||
c10
|
||||
-8 -22 -7 -22 -7 -22 0 -2 -6 -20 -14 -22 -3 -5 -16 -17
|
||||
-7 -9 -12 -14 -11 -12 -9 -10 -14 -16 -6 -6 -17 -16 -9 -6
|
||||
-15 -9 -23 -10 -5 -3 -18 -10 -22 -12 -1 0 -23 -13 -23 -9
|
||||
0 0 -23 -5 -23 -5 -23 -5 -23 -5 -10 -2 -13 -4 -23 -3
|
||||
-23 -4 -23 -4 -23 -4 -23 -2 -17 -1 -6 -1 -23 -2 -23 -3
|
||||
-23 -2 -23 -1 -23 -1 -23 -1 -23 0 -23 -1 -24 0 -23 1
|
||||
-23 1 -23 0 -23 1 -23 2 -23 2 -23 2 -23 3 0 0
|
||||
-23 2 -23 2 -23 4 -23 4 -23 4 -23 4 -8 2 -15 3
|
||||
-23 4 -23 4 -23 5 -18 6 -5 2 -23 7 -23 6 -19 7
|
||||
-4 2 -23 19 -2 1 -22 18 0 4 0 22 0 22 0 22
|
||||
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
|
||||
0 22 0 22 0 4 2851 1144 100 MP
|
||||
24 10 15 8 8 3 23 13 10 6 13 7 23 12 12 3
|
||||
11 2 23 5 23 5 23 6 18 4 5 2 23 3 23 4
|
||||
23 4 23 4 23 3 23 2 5 0 18 2 23 2 23 3
|
||||
23 2 23 0 23 1 23 1 23 1 24 0 23 0 23 -1
|
||||
23 -1 23 -1 23 -1 23 -2 23 -2 23 -3 12 -1 11 -1
|
||||
23 -2 23 -3 23 -4 23 -4 23 -4 19 -4 4 -1 23 -4
|
||||
23 -4 23 -4 23 -7 7 -2 16 -6 23 -6 23 -6 8 -4
|
||||
15 -12 13 -10 10 -8 23 -14 1 0 23 -19 3 -3 20 -10
|
||||
23 -12 0 0 10 -22 10 -23 3 -5 11 -17 9 -22 3 -12
|
||||
4 -10 9 -22 8 -22 2 -11 1 -11 -1 -11 -1 -11 79 AP
|
||||
PP
|
||||
0 sg
|
||||
0 0 24 10 15 8 8 3 23 13 10 6 13 7 23 12
|
||||
12 3 11 2 23 5 23 5 23 6 18 4 5 2 23 3
|
||||
23 4 23 4 23 4 23 3 23 2 5 0 18 2 23 2
|
||||
23 3 23 2 23 0 23 1 23 1 23 1 24 0 23 0
|
||||
23 -1 23 -1 23 -1 23 -1 23 -2 23 -2 23 -3 12 -1
|
||||
11 -1 23 -2 23 -3 23 -4 23 -4 23 -4 19 -4 4 -1
|
||||
23 -4 23 -4 23 -4 23 -7 7 -2 16 -6 23 -6 23 -6
|
||||
8 -4 15 -12 13 -10 10 -8 23 -14 1 0 23 -19 3 -3
|
||||
20 -10 23 -12 0 0 10 -22 10 -23 3 -5 11 -17 9 -22
|
||||
3 -12 4 -10 9 -22 8 -22 2 -11 1 -11 -1 -11 -1 -11
|
||||
-8 -22 -7 -22 -7 -22 0 -2 -6 -20 -14 -22 -3 -5 -16 -17
|
||||
-7 -9 -12 -14 -11 -12 -9 -10 -14 -16 -6 -6 -17 -16 -9 -6
|
||||
-15 -9 -23 -10 -5 -3 -18 -10 -22 -12 -1 0 -23 -13 -23 -9
|
||||
0 0 -23 -5 -23 -5 -23 -5 -23 -5 -10 -2 -13 -4 -23 -3
|
||||
-23 -4 -23 -4 -23 -4 -23 -2 -17 -1 -6 -1 -23 -2 -23 -3
|
||||
-23 -2 -23 -1 -23 -1 -23 -1 -23 0 -23 -1 -24 0 -23 1
|
||||
-23 1 -23 0 -23 1 -23 2 -23 2 -23 2 -23 3 0 0
|
||||
-23 2 -23 2 -23 4 -23 4 -23 4 -23 4 -8 2 -15 3
|
||||
-23 4 -23 4 -23 5 -18 6 -5 2 -23 7 -23 6 -19 7
|
||||
-4 2 -23 19 -2 1 -22 18 0 4 0 22 0 22 0 22
|
||||
0 23 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 23 0 22
|
||||
0 22 0 22 0 4 2851 1144 180 MP stroke
|
||||
/c11 { 0.000000 1.000000 1.000000 sr} bdef
|
||||
c11
|
||||
13 -4 10 -6 18 -16 5 -6 21 -17 3 -1 20 -21 3 -5
|
||||
9 -17 14 -21 0 -1 10 -22 4 -22 4 -22 -3 -22 -10 -22
|
||||
-5 -12 -5 -10 -8 -22 -5 -22 -5 -8 -10 -14 -13 -15 -10 -7
|
||||
-14 -11 -22 -12 -1 0 -23 -12 -19 -10 -4 -2 -23 -14 -12 -6
|
||||
-11 -5 -23 -7 -23 -6 -11 -4 -12 -4 -23 -7 -23 -5 -23 -3
|
||||
-15 -3 -8 -1 -23 -4 -23 -5 -23 -2 -23 -1 -23 -2 -23 -2
|
||||
-23 -2 -23 -1 -23 0 -23 0 -23 -1 -23 -1 -24 0 -23 1
|
||||
-23 0 -23 1 -23 1 -23 1 -23 1 -23 2 -23 2 -23 2
|
||||
-23 2 -23 3 -23 4 -11 2 -12 3 -23 4 -23 5 -23 8
|
||||
-7 2 -16 5 -23 7 -23 8 -6 2 -17 6 -23 8 -23 8
|
||||
-1 0 -22 16 -6 6 -18 18 0 5 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 5 2851 1232 100 MP
|
||||
24 12 11 6 12 6 23 12 5 4 18 10 19 12 4 2
|
||||
23 6 23 7 23 7 0 0 23 8 23 7 23 3 23 3
|
||||
4 1 19 3 23 4 23 4 23 2 23 1 23 2 23 2
|
||||
23 1 23 1 23 0 23 1 23 0 24 1 23 -1 23 0
|
||||
23 -1 23 0 23 -1 23 -1 23 -2 23 -2 23 -2 23 -2
|
||||
23 -2 23 -4 22 -4 1 0 23 -5 23 -4 23 -6 18 -7
|
||||
5 -2 23 -6 23 -7 17 -7 6 -3 23 -7 23 -8 55 AP
|
||||
PP
|
||||
0 sg
|
||||
0 0 24 12 11 6 12 6 23 12 5 4 18 10 19 12
|
||||
4 2 23 6 23 7 23 7 0 0 23 8 23 7 23 3
|
||||
23 3 4 1 19 3 23 4 23 4 23 2 23 1 23 2
|
||||
23 2 23 1 23 1 23 0 23 1 23 0 24 1 23 -1
|
||||
23 0 23 -1 23 0 23 -1 23 -1 23 -2 23 -2 23 -2
|
||||
23 -2 23 -2 23 -4 22 -4 1 0 23 -5 23 -4 23 -6
|
||||
18 -7 5 -2 23 -6 23 -7 17 -7 6 -3 23 -7 23 -8
|
||||
13 -4 10 -6 18 -16 5 -6 21 -17 3 -1 20 -21 3 -5
|
||||
9 -17 14 -21 0 -1 10 -22 4 -22 4 -22 -3 -22 -10 -22
|
||||
-5 -12 -5 -10 -8 -22 -5 -22 -5 -8 -10 -14 -13 -15 -10 -7
|
||||
-14 -11 -22 -12 -1 0 -23 -12 -19 -10 -4 -2 -23 -14 -12 -6
|
||||
-11 -5 -23 -7 -23 -6 -11 -4 -12 -4 -23 -7 -23 -5 -23 -3
|
||||
-15 -3 -8 -1 -23 -4 -23 -5 -23 -2 -23 -1 -23 -2 -23 -2
|
||||
-23 -2 -23 -1 -23 0 -23 0 -23 -1 -23 -1 -24 0 -23 1
|
||||
-23 0 -23 1 -23 1 -23 1 -23 1 -23 2 -23 2 -23 2
|
||||
-23 2 -23 3 -23 4 -11 2 -12 3 -23 4 -23 5 -23 8
|
||||
-7 2 -16 5 -23 7 -23 8 -6 2 -17 6 -23 8 -23 8
|
||||
-1 0 -22 16 -6 6 -18 18 0 5 0 22 0 22 0 22
|
||||
0 22 0 22 0 22 0 22 0 22 0 22 0 22 0 22
|
||||
0 22 0 22 0 5 2851 1232 156 MP stroke
|
||||
/c12 { 0.500000 1.000000 0.500000 sr} bdef
|
||||
c12
|
||||
23 -2 23 -3 23 -2 23 -3 23 -3 23 -5 4 0 19 -4
|
||||
23 -5 23 -7 17 -6 6 -3 23 -9 23 -8 5 -3 18 -18
|
||||
4 -4 19 -19 3 -3 16 -22 4 -9 8 -13 12 -22 4 -7
|
||||
7 -15 -4 -22 -3 -8 -8 -14 -12 -22 -4 -7 -10 -15 -13 -20
|
||||
-1 -2 -22 -20 -2 -2 -21 -14 -12 -8 -11 -8 -23 -10 -20 -5
|
||||
-3 0 -23 -6 -23 -7 -23 -8 -3 -1 -20 -4 -23 -3 -23 -2
|
||||
-23 -3 -23 -3 -23 -2 -23 -2 -23 -1 -23 -1 -8 -1 -15 -1
|
||||
-23 -1 -23 0 -23 -1 -23 0 -23 -1 -24 1 -23 0 -23 1
|
||||
-23 0 -23 0 -23 2 -6 0 -17 1 -23 1 -23 2 -23 1
|
||||
-23 3 -23 2 -23 3 -23 3 -23 3 -15 3 -8 2 -23 5
|
||||
-23 5 -23 8 -5 2 -18 8 -23 8 -14 7 -9 6 -15 16
|
||||
-8 8 -15 14 -8 10 -8 12 -10 22 -6 11 0 11 0 22
|
||||
0 22 0 22 0 11 2851 1336 100 MP
|
||||
8 11 14 22 2 3 12 19 11 10 14 12 9 6 23 16
|
||||
1 0 22 15 23 5 9 3 14 3 23 7 23 7 14 5
|
||||
9 3 23 2 23 3 23 3 23 3 23 3 23 1 23 1
|
||||
23 2 20 1 3 0 23 1 23 1 23 0 23 1 23 0
|
||||
24 1 23 -1 23 0 23 -1 23 0 23 -1 17 -1 6 -1
|
||||
23 -1 23 -1 23 -1 43 AP
|
||||
PP
|
||||
0 sg
|
||||
0 0 8 11 14 22 2 3 12 19 11 10 14 12 9 6
|
||||
23 16 1 0 22 15 23 5 9 3 14 3 23 7 23 7
|
||||
14 5 9 3 23 2 23 3 23 3 23 3 23 3 23 1
|
||||
23 1 23 2 20 1 3 0 23 1 23 1 23 0 23 1
|
||||
23 0 24 1 23 -1 23 0 23 -1 23 0 23 -1 17 -1
|
||||
6 -1 23 -1 23 -1 23 -1 23 -2 23 -3 23 -2 23 -3
|
||||
23 -3 23 -5 4 0 19 -4 23 -5 23 -7 17 -6 6 -3
|
||||
23 -9 23 -8 5 -3 18 -18 4 -4 19 -19 3 -3 16 -22
|
||||
4 -9 8 -13 12 -22 4 -7 7 -15 -4 -22 -3 -8 -8 -14
|
||||
-12 -22 -4 -7 -10 -15 -13 -20 -1 -2 -22 -20 -2 -2 -21 -14
|
||||
-12 -8 -11 -8 -23 -10 -20 -5 -3 0 -23 -6 -23 -7 -23 -8
|
||||
-3 -1 -20 -4 -23 -3 -23 -2 -23 -3 -23 -3 -23 -2 -23 -2
|
||||
-23 -1 -23 -1 -8 -1 -15 -1 -23 -1 -23 0 -23 -1 -23 0
|
||||
-23 -1 -24 1 -23 0 -23 1 -23 0 -23 0 -23 2 -6 0
|
||||
-17 1 -23 1 -23 2 -23 1 -23 3 -23 2 -23 3 -23 3
|
||||
-23 3 -15 3 -8 2 -23 5 -23 5 -23 8 -5 2 -18 8
|
||||
-23 8 -14 7 -9 6 -15 16 -8 8 -15 14 -8 10 -8 12
|
||||
-10 22 -6 11 0 11 0 22 0 22 0 22 0 11 2851 1336 144 MP stroke
|
||||
/c13 { 1.000000 1.000000 0.000000 sr} bdef
|
||||
c13
|
||||
23 1 23 0 23 0 23 1 24 0 23 0 23 -1 23 0
|
||||
23 -1 23 0 23 -2 23 -1 11 0 12 -1 23 -2 23 -2
|
||||
23 -3 23 -3 23 -3 23 -5 22 -4 1 0 23 -5 23 -9
|
||||
17 -8 6 -2 23 -11 14 -9 9 -7 15 -15 8 -7 15 -15
|
||||
8 -12 5 -10 11 -22 -4 -22 -12 -16 -4 -6 -17 -22 -2 -3
|
||||
-15 -19 -8 -11 -12 -11 -11 -8 -23 -10 -11 -4 -12 -5 -23 -8
|
||||
-23 -8 -8 -1 -15 -4 -23 -2 -23 -4 -23 -4 -23 -4 -23 -2
|
||||
-23 -1 -23 -1 -4 -1 -19 -1 -23 -2 -23 0 -23 -1 -23 0
|
||||
-23 -1 -23 0 -24 0 -23 0 -23 1 -23 0 -23 1 -23 1
|
||||
-23 1 -23 1 0 0 -23 2 -23 2 -23 2 -23 3 -23 3
|
||||
-23 5 -23 4 -10 2 -13 2 -23 8 -23 9 -6 3 -17 8
|
||||
-23 11 -4 3 -19 18 -4 4 -19 19 -3 3 -14 22 -6 14
|
||||
-4 8 3 22 1 1 2804 1368 100 MP
|
||||
16 21 7 9 9 13 14 18 3 4 17 22 3 3 23 10
|
||||
22 9 1 0 23 9 23 8 17 5 6 2 23 3 23 3
|
||||
23 4 23 4 23 3 23 1 23 2 14 1 9 0 23 2
|
||||
23 1 25 AP
|
||||
PP
|
||||
0 sg
|
||||
0 0 16 21 7 9 9 13 14 18 3 4 17 22 3 3
|
||||
23 10 22 9 1 0 23 9 23 8 17 5 6 2 23 3
|
||||
23 3 23 4 23 4 23 3 23 1 23 2 14 1 9 0
|
||||
23 2 23 1 23 1 23 0 23 0 23 1 24 0 23 0
|
||||
23 -1 23 0 23 -1 23 0 23 -2 23 -1 11 0 12 -1
|
||||
23 -2 23 -2 23 -3 23 -3 23 -3 23 -5 22 -4 1 0
|
||||
23 -5 23 -9 17 -8 6 -2 23 -11 14 -9 9 -7 15 -15
|
||||
8 -7 15 -15 8 -12 5 -10 11 -22 -4 -22 -12 -16 -4 -6
|
||||
-17 -22 -2 -3 -15 -19 -8 -11 -12 -11 -11 -8 -23 -10 -11 -4
|
||||
-12 -5 -23 -8 -23 -8 -8 -1 -15 -4 -23 -2 -23 -4 -23 -4
|
||||
-23 -4 -23 -2 -23 -1 -23 -1 -4 -1 -19 -1 -23 -2 -23 0
|
||||
-23 -1 -23 0 -23 -1 -23 0 -24 0 -23 0 -23 1 -23 0
|
||||
-23 1 -23 1 -23 1 -23 1 0 0 -23 2 -23 2 -23 2
|
||||
-23 3 -23 3 -23 5 -23 4 -10 2 -13 2 -23 8 -23 9
|
||||
-6 3 -17 8 -23 11 -4 3 -19 18 -4 4 -19 19 -3 3
|
||||
-14 22 -6 14 -4 8 3 22 1 1 2804 1368 126 MP stroke
|
||||
/c14 { 1.000000 0.500000 0.000000 sr} bdef
|
||||
c14
|
||||
23 14 12 3 11 2 23 5 23 4 23 5 23 4 23 2
|
||||
7 0 16 2 23 1 23 2 23 1 23 1 23 0 23 1
|
||||
23 0 24 0 23 0 23 -1 23 0 23 0 23 -1 23 -2
|
||||
23 -1 23 -2 8 -1 15 -1 23 -2 23 -5 23 -4 23 -5
|
||||
23 -5 1 0 22 -8 23 -12 3 -2 20 -10 19 -12 4 -3
|
||||
23 -17 2 -2 21 -18 3 -4 -2 -22 -1 0 -23 -22 0 0
|
||||
-23 -14 -14 -8 -9 -5 -23 -15 -4 -2 -19 -13 -23 -9 -1 0
|
||||
-22 -5 -23 -4 -23 -5 -23 -4 -23 -3 -18 -1 -5 -1 -23 -1
|
||||
-23 -2 -23 -2 -23 0 -23 -1 -23 0 -23 -1 -23 0 -24 0
|
||||
-23 0 -23 1 -23 0 -23 1 -23 1 -23 1 -23 2 -19 2
|
||||
-4 0 -23 2 -23 3 -23 5 -23 5 -23 4 -12 3 -11 3
|
||||
-23 11 -15 8 -8 4 -23 13 -8 5 -15 12 -14 10 -9 7
|
||||
-14 15 2 22 12 15 2735 1354 100 MP
|
||||
12 7 11 7 23 13 2 2 21 13 15 9 8 5 7 AP
|
||||
PP
|
||||
0 sg
|
||||
0 0 12 7 11 7 23 13 2 2 21 13 15 9 8 5
|
||||
23 14 12 3 11 2 23 5 23 4 23 5 23 4 23 2
|
||||
7 0 16 2 23 1 23 2 23 1 23 1 23 0 23 1
|
||||
23 0 24 0 23 0 23 -1 23 0 23 0 23 -1 23 -2
|
||||
23 -1 23 -2 8 -1 15 -1 23 -2 23 -5 23 -4 23 -5
|
||||
23 -5 1 0 22 -8 23 -12 3 -2 20 -10 19 -12 4 -3
|
||||
23 -17 2 -2 21 -18 3 -4 -2 -22 -1 0 -23 -22 0 0
|
||||
-23 -14 -14 -8 -9 -5 -23 -15 -4 -2 -19 -13 -23 -9 -1 0
|
||||
-22 -5 -23 -4 -23 -5 -23 -4 -23 -3 -18 -1 -5 -1 -23 -1
|
||||
-23 -2 -23 -2 -23 0 -23 -1 -23 0 -23 -1 -23 0 -24 0
|
||||
-23 0 -23 1 -23 0 -23 1 -23 1 -23 1 -23 2 -19 2
|
||||
-4 0 -23 2 -23 3 -23 5 -23 5 -23 4 -12 3 -11 3
|
||||
-23 11 -15 8 -8 4 -23 13 -8 5 -15 12 -14 10 -9 7
|
||||
-14 15 2 22 12 15 2735 1354 108 MP stroke
|
||||
/c15 { 1.000000 0.000000 0.000000 sr} bdef
|
||||
c15
|
||||
23 14 11 3 12 3 23 6 23 7 23 6 0 0 23 6
|
||||
23 3 23 2 23 3 23 2 23 3 23 1 23 0 23 1
|
||||
23 1 24 0 23 -1 23 0 23 -1 23 -1 23 -1 23 -3
|
||||
23 -2 23 -3 23 -2 23 -4 15 -4 8 -2 23 -6 23 -6
|
||||
23 -7 2 -1 21 -8 22 -14 -2 -22 -20 -13 -23 -9 0 0
|
||||
-23 -6 -23 -6 -23 -7 -11 -3 -12 -4 -23 -3 -23 -3 -23 -2
|
||||
-23 -3 -23 -3 -23 -1 -23 -1 -23 -1 -23 0 -23 -1 -24 0
|
||||
-23 1 -23 1 -23 0 -23 1 -23 2 -23 3 -23 2 -23 3
|
||||
-23 3 -23 5 -4 1 -19 5 -23 6 -23 7 -14 4 -9 3
|
||||
-23 12 -11 7 3 22 8 5 2643 1364 77 MP
|
||||
PP
|
||||
0 sg
|
||||
0 0 23 14 11 3 12 3 23 6 23 7 23 6 0 0
|
||||
23 6 23 3 23 2 23 3 23 2 23 3 23 1 23 0
|
||||
23 1 23 1 24 0 23 -1 23 0 23 -1 23 -1 23 -1
|
||||
23 -3 23 -2 23 -3 23 -2 23 -4 15 -4 8 -2 23 -6
|
||||
23 -6 23 -7 2 -1 21 -8 22 -14 -2 -22 -20 -13 -23 -9
|
||||
0 0 -23 -6 -23 -6 -23 -7 -11 -3 -12 -4 -23 -3 -23 -3
|
||||
-23 -2 -23 -3 -23 -3 -23 -1 -23 -1 -23 -1 -23 0 -23 -1
|
||||
-24 0 -23 1 -23 1 -23 0 -23 1 -23 2 -23 3 -23 2
|
||||
-23 3 -23 3 -23 5 -4 1 -19 5 -23 6 -23 7 -14 4
|
||||
-9 3 -23 12 -11 7 3 22 8 5 2643 1364 78 MP stroke
|
||||
/c16 { 0.500000 0.000000 0.000000 sr} bdef
|
||||
c16
|
||||
23 0 23 1 23 1 23 1 24 0 23 -1 23 -1 23 0
|
||||
23 -1 16 -1 -1 -22 -15 -1 -23 -1 -23 0 -23 -1 -23 -1
|
||||
-24 0 -23 1 -23 1 -23 1 -23 0 -5 1 0 22 5 1
|
||||
2390 1368 25 MP
|
||||
PP
|
||||
0 sg
|
||||
0 0 23 0 23 1 23 1 23 1 24 0 23 -1 23 -1
|
||||
23 0 23 -1 16 -1 -1 -22 -15 -1 -23 -1 -23 0 -23 -1
|
||||
-23 -1 -24 0 -23 1 -23 1 -23 1 -23 0 -5 1 0 22
|
||||
5 1 2390 1368 26 MP stroke
|
||||
gr
|
||||
|
||||
0 sg
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 168 FMSR
|
||||
|
||||
1541 2841 mt
|
||||
(x\(m\)) s
|
||||
159 1549 mt -90 rotate
|
||||
(y\(m\)) s
|
||||
90 rotate
|
||||
1654 156 mt
|
||||
(V) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 120 FMSR
|
||||
|
||||
553 2516 mt
|
||||
( ) s
|
||||
2835 330 mt
|
||||
( ) s
|
||||
4 w
|
||||
DO
|
||||
SO
|
||||
6 w
|
||||
570 2473 mt 2851 2473 L
|
||||
570 288 mt 2851 288 L
|
||||
570 2473 mt 570 288 L
|
||||
2851 2473 mt 2851 288 L
|
||||
570 2473 mt 2851 2473 L
|
||||
570 2473 mt 570 288 L
|
||||
570 2473 mt 570 2450 L
|
||||
570 288 mt 570 310 L
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 168 FMSR
|
||||
|
||||
379 2663 mt
|
||||
(-20) s
|
||||
1140 2473 mt 1140 2450 L
|
||||
1140 288 mt 1140 310 L
|
||||
949 2663 mt
|
||||
(-10) s
|
||||
1710 2473 mt 1710 2450 L
|
||||
1710 288 mt 1710 310 L
|
||||
1664 2663 mt
|
||||
(0) s
|
||||
2280 2473 mt 2280 2450 L
|
||||
2280 288 mt 2280 310 L
|
||||
2187 2663 mt
|
||||
(10) s
|
||||
2851 2473 mt 2851 2450 L
|
||||
2851 288 mt 2851 310 L
|
||||
2758 2663 mt
|
||||
(20) s
|
||||
570 2473 mt 592 2473 L
|
||||
2851 2473 mt 2828 2473 L
|
||||
251 2535 mt
|
||||
(-20) s
|
||||
570 1926 mt 592 1926 L
|
||||
2851 1926 mt 2828 1926 L
|
||||
251 1988 mt
|
||||
(-10) s
|
||||
570 1380 mt 592 1380 L
|
||||
2851 1380 mt 2828 1380 L
|
||||
442 1442 mt
|
||||
(0) s
|
||||
570 834 mt 592 834 L
|
||||
2851 834 mt 2828 834 L
|
||||
349 896 mt
|
||||
(10) s
|
||||
570 288 mt 592 288 L
|
||||
2851 288 mt 2828 288 L
|
||||
349 350 mt
|
||||
(20) s
|
||||
570 2473 mt 2851 2473 L
|
||||
570 288 mt 2851 288 L
|
||||
570 2473 mt 570 288 L
|
||||
2851 2473 mt 2851 288 L
|
||||
1 sg
|
||||
0 2186 240 0 0 -2186 3032 2474 4 MP
|
||||
PP
|
||||
-240 0 0 2186 240 0 0 -2186 3032 2474 5 MP stroke
|
||||
gs 3032 288 241 2187 rc
|
||||
/mwscm { [/Indexed /DeviceRGB 63
|
||||
<
|
||||
00008f 00009f 0000af 0000bf 0000cf 0000df 0000ef 0000ff 000fff 001fff
|
||||
002fff 003fff 004fff 005fff 006fff 007fff 008fff 009fff 00afff 00bfff
|
||||
00cfff 00dfff 00efff 00ffff 0fffef 1fffdf 2fffcf 3fffbf 4fffaf 5fff9f
|
||||
6fff8f 7fff7f 8fff6f 9fff5f afff4f bfff3f cfff2f dfff1f efff0f ffff00
|
||||
ffef00 ffdf00 ffcf00 ffbf00 ffaf00 ff9f00 ff8f00 ff7f00 ff6f00 ff5f00
|
||||
ff4f00 ff3f00 ff2f00 ff1f00 ff0f00 ff0000 ef0000 df0000 cf0000 bf0000
|
||||
af0000 9f0000 8f0000 7f0000
|
||||
>
|
||||
] setcolorspace } bdef mwscm
|
||||
gs np 3032 288 mt 0 2186 rl 240 0 rl 0 -2186 rl cp c np
|
||||
[240 0 0 2186 3032 288] cc
|
||||
<< % Image dictionary
|
||||
/ImageType 1
|
||||
/Width 1 /Height 64
|
||||
/BitsPerComponent 8
|
||||
/Decode [0 255]
|
||||
/ImageMatrix [1.000000 0 0 64.000000 0 0]
|
||||
/DataSource currentfile
|
||||
/ASCII85Decode filter
|
||||
/RunLengthDecode filter
|
||||
>>
|
||||
image
|
||||
5<h=p4?GSa3&``Q1c$mA0J>%1/1W2!-mp>f,U4KV+<MXF*#fe6(`*r&'GD)k&.]6[$k!CK#R:P;"9S]+
|
||||
!.Y
|
||||
~>
|
||||
gr
|
||||
gr
|
||||
|
||||
0 sg
|
||||
2815 156 mt
|
||||
(NA) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
3048 72 mt
|
||||
(-1) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 168 FMSR
|
||||
|
||||
3198 156 mt
|
||||
(m) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
3337 72 mt
|
||||
(-3) s
|
||||
4 w
|
||||
DO
|
||||
SO
|
||||
6 w
|
||||
3032 2474 mt 3272 2474 L
|
||||
3032 288 mt 3272 288 L
|
||||
3032 2474 mt 3032 288 L
|
||||
3272 2474 mt 3272 288 L
|
||||
3032 2474 mt 3272 2474 L
|
||||
3272 2474 mt 3272 288 L
|
||||
3272 2208 mt 3250 2208 L
|
||||
3032 2208 mt 3053 2208 L
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 168 FMSR
|
||||
|
||||
3306 2270 mt
|
||||
(0.5) s
|
||||
3272 1934 mt 3250 1934 L
|
||||
3032 1934 mt 3053 1934 L
|
||||
3306 1996 mt
|
||||
(1) s
|
||||
3272 1659 mt 3250 1659 L
|
||||
3032 1659 mt 3053 1659 L
|
||||
3306 1721 mt
|
||||
(1.5) s
|
||||
3272 1385 mt 3250 1385 L
|
||||
3032 1385 mt 3053 1385 L
|
||||
3306 1447 mt
|
||||
(2) s
|
||||
3272 1111 mt 3250 1111 L
|
||||
3032 1111 mt 3053 1111 L
|
||||
3306 1173 mt
|
||||
(2.5) s
|
||||
3272 836 mt 3250 836 L
|
||||
3032 836 mt 3053 836 L
|
||||
3306 898 mt
|
||||
(3) s
|
||||
3272 562 mt 3250 562 L
|
||||
3032 562 mt 3053 562 L
|
||||
3306 624 mt
|
||||
(3.5) s
|
||||
3272 288 mt 3250 288 L
|
||||
3032 288 mt 3053 288 L
|
||||
3306 350 mt
|
||||
(4) s
|
||||
3272 234 mt
|
||||
(x 10) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 112 FMSR
|
||||
|
||||
3589 130 mt
|
||||
(-7) s
|
||||
3032 2474 mt 3272 2474 L
|
||||
3032 288 mt 3272 288 L
|
||||
3032 2474 mt 3032 288 L
|
||||
3272 2474 mt 3272 288 L
|
||||
|
||||
end %%Color Dict
|
||||
|
||||
eplot
|
||||
%%EndObject
|
||||
|
||||
epage
|
||||
end
|
||||
|
||||
showpage
|
||||
|
||||
%%Trailer
|
||||
%%EOF
|
108
m3d/test/pipeline/plot_contour.m
Executable file
108
m3d/test/pipeline/plot_contour.m
Executable file
@ -0,0 +1,108 @@
|
||||
clear all;
|
||||
%% load closed-form from prism
|
||||
xyz = load('xyz.dat');
|
||||
x = xyz(:,1);
|
||||
y = xyz(:,2);
|
||||
|
||||
%% solution
|
||||
V = load('V.dat');
|
||||
B = load('B.dat');
|
||||
T = load('T.dat');
|
||||
|
||||
|
||||
|
||||
lsize=1.5;
|
||||
fsize=14;
|
||||
msize= 6;
|
||||
|
||||
|
||||
%% plot potential
|
||||
figure('Position',[0 0 400 300]);
|
||||
[X,Y,Z0] = xyz2XYZ(x, y, V);
|
||||
contourf(X,Y,Z0);
|
||||
hcb= colorbar;
|
||||
xlabel('x(m)','fontsize',fsize);
|
||||
ylabel('y(m)','fontsize',fsize);
|
||||
set(gca, 'FontSize', fsize);
|
||||
title(hcb,'NA^{-1}m^{-3}','fontsize',fsize);
|
||||
colormap(jet)
|
||||
title('V','fontsize',fsize);
|
||||
|
||||
%% plot field
|
||||
figure('Position',[0 0 900 200 ]);
|
||||
for i=1:3
|
||||
subplot(1,3,i);
|
||||
[X,Y,Z0] = xyz2XYZ(x, y, B(:,i));
|
||||
contourf(X,Y,Z0);
|
||||
hcb=colorbar;
|
||||
xlabel('x(m)','fontsize',fsize);
|
||||
set(gca, 'FontSize', fsize);
|
||||
title(hcb,'nT','fontsize',fsize);
|
||||
if(i==1)
|
||||
title('B_{x}','fontsize',fsize);
|
||||
ylabel('y(m)','fontsize',fsize);
|
||||
end
|
||||
if(i==2)
|
||||
title('B_{y}','fontsize',fsize);
|
||||
end
|
||||
if(i==3)
|
||||
title('B_{z}','fontsize',fsize);
|
||||
end
|
||||
colormap(jet);
|
||||
caxis([-60, 60])
|
||||
|
||||
end
|
||||
|
||||
%% (xx,xy,xz,yx,yy,yz,zx,zy,zz)
|
||||
%% plot tensor
|
||||
figure('Position',[0 0 900 600]);
|
||||
for i=1:9
|
||||
if (i==1||i==2||i==3||i==5||i==6||i==9)
|
||||
subplot(3,3,i);
|
||||
[X,Y,Z0] = xyz2XYZ(x, y, T(:,i));
|
||||
contourf(X,Y,Z0);
|
||||
hcb=colorbar;
|
||||
title(hcb,'nT/m','fontsize',fsize);
|
||||
colormap(jet);
|
||||
caxis([-50, 50])
|
||||
|
||||
end
|
||||
if(i==1)
|
||||
xlabel('x(m)','fontsize',fsize);
|
||||
ylabel('y(m)','fontsize',fsize);
|
||||
set(gca, 'FontSize', fsize);
|
||||
title('T_{xx}','fontsize',fsize);
|
||||
end
|
||||
|
||||
if(i==2)
|
||||
set(gca, 'FontSize', fsize);
|
||||
title('T_{xy}','fontsize',fsize);
|
||||
end
|
||||
|
||||
if(i==3)
|
||||
set(gca, 'FontSize', fsize);
|
||||
title('T_{xz}','fontsize',fsize);
|
||||
end
|
||||
|
||||
|
||||
if(i==5)
|
||||
xlabel('x(m)','fontsize',fsize);
|
||||
ylabel('y(m)','fontsize',fsize);
|
||||
set(gca, 'FontSize', fsize);
|
||||
title('T_{yy}','fontsize',fsize);
|
||||
end
|
||||
|
||||
if(i==6)
|
||||
set(gca, 'FontSize', fsize);
|
||||
title('T_{yz}','fontsize',fsize);
|
||||
end
|
||||
|
||||
if(i==9)
|
||||
xlabel('x(m)','fontsize',fsize);
|
||||
ylabel('y(m)','fontsize',fsize);
|
||||
set(gca, 'FontSize', fsize);
|
||||
title('T_{zz}','fontsize',fsize);
|
||||
end
|
||||
|
||||
end
|
||||
|
442
m3d/test/pipeline/site.dat
Executable file
442
m3d/test/pipeline/site.dat
Executable file
@ -0,0 +1,442 @@
|
||||
441
|
||||
0 -20 -20 4
|
||||
1 -20 -18 4
|
||||
2 -20 -16 4
|
||||
3 -20 -14 4
|
||||
4 -20 -12 4
|
||||
5 -20 -10 4
|
||||
6 -20 -8 4
|
||||
7 -20 -6 4
|
||||
8 -20 -4 4
|
||||
9 -20 -2 4
|
||||
10 -20 0 4
|
||||
11 -20 2 4
|
||||
12 -20 4 4
|
||||
13 -20 6 4
|
||||
14 -20 8 4
|
||||
15 -20 10 4
|
||||
16 -20 12 4
|
||||
17 -20 14 4
|
||||
18 -20 16 4
|
||||
19 -20 18 4
|
||||
20 -20 20 4
|
||||
21 -18 -20 4
|
||||
22 -18 -18 4
|
||||
23 -18 -16 4
|
||||
24 -18 -14 4
|
||||
25 -18 -12 4
|
||||
26 -18 -10 4
|
||||
27 -18 -8 4
|
||||
28 -18 -6 4
|
||||
29 -18 -4 4
|
||||
30 -18 -2 4
|
||||
31 -18 0 4
|
||||
32 -18 2 4
|
||||
33 -18 4 4
|
||||
34 -18 6 4
|
||||
35 -18 8 4
|
||||
36 -18 10 4
|
||||
37 -18 12 4
|
||||
38 -18 14 4
|
||||
39 -18 16 4
|
||||
40 -18 18 4
|
||||
41 -18 20 4
|
||||
42 -16 -20 4
|
||||
43 -16 -18 4
|
||||
44 -16 -16 4
|
||||
45 -16 -14 4
|
||||
46 -16 -12 4
|
||||
47 -16 -10 4
|
||||
48 -16 -8 4
|
||||
49 -16 -6 4
|
||||
50 -16 -4 4
|
||||
51 -16 -2 4
|
||||
52 -16 0 4
|
||||
53 -16 2 4
|
||||
54 -16 4 4
|
||||
55 -16 6 4
|
||||
56 -16 8 4
|
||||
57 -16 10 4
|
||||
58 -16 12 4
|
||||
59 -16 14 4
|
||||
60 -16 16 4
|
||||
61 -16 18 4
|
||||
62 -16 20 4
|
||||
63 -14 -20 4
|
||||
64 -14 -18 4
|
||||
65 -14 -16 4
|
||||
66 -14 -14 4
|
||||
67 -14 -12 4
|
||||
68 -14 -10 4
|
||||
69 -14 -8 4
|
||||
70 -14 -6 4
|
||||
71 -14 -4 4
|
||||
72 -14 -2 4
|
||||
73 -14 0 4
|
||||
74 -14 2 4
|
||||
75 -14 4 4
|
||||
76 -14 6 4
|
||||
77 -14 8 4
|
||||
78 -14 10 4
|
||||
79 -14 12 4
|
||||
80 -14 14 4
|
||||
81 -14 16 4
|
||||
82 -14 18 4
|
||||
83 -14 20 4
|
||||
84 -12 -20 4
|
||||
85 -12 -18 4
|
||||
86 -12 -16 4
|
||||
87 -12 -14 4
|
||||
88 -12 -12 4
|
||||
89 -12 -10 4
|
||||
90 -12 -8 4
|
||||
91 -12 -6 4
|
||||
92 -12 -4 4
|
||||
93 -12 -2 4
|
||||
94 -12 0 4
|
||||
95 -12 2 4
|
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96 -12 4 4
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97 -12 6 4
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98 -12 8 4
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99 -12 10 4
|
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100 -12 12 4
|
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101 -12 14 4
|
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102 -12 16 4
|
||||
103 -12 18 4
|
||||
104 -12 20 4
|
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105 -10 -20 4
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106 -10 -18 4
|
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107 -10 -16 4
|
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108 -10 -14 4
|
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109 -10 -12 4
|
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110 -10 -10 4
|
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111 -10 -8 4
|
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112 -10 -6 4
|
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113 -10 -4 4
|
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114 -10 -2 4
|
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115 -10 0 4
|
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116 -10 2 4
|
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117 -10 4 4
|
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118 -10 6 4
|
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119 -10 8 4
|
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120 -10 10 4
|
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121 -10 12 4
|
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122 -10 14 4
|
||||
123 -10 16 4
|
||||
124 -10 18 4
|
||||
125 -10 20 4
|
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126 -8 -20 4
|
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127 -8 -18 4
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128 -8 -16 4
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129 -8 -14 4
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130 -8 -12 4
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131 -8 -10 4
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133 -8 -6 4
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134 -8 -4 4
|
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135 -8 -2 4
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|
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143 -8 14 4
|
||||
144 -8 16 4
|
||||
145 -8 18 4
|
||||
146 -8 20 4
|
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147 -6 -20 4
|
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|
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149 -6 -16 4
|
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150 -6 -14 4
|
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151 -6 -12 4
|
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152 -6 -10 4
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153 -6 -8 4
|
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154 -6 -6 4
|
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155 -6 -4 4
|
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156 -6 -2 4
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157 -6 0 4
|
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158 -6 2 4
|
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159 -6 4 4
|
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160 -6 6 4
|
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161 -6 8 4
|
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162 -6 10 4
|
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163 -6 12 4
|
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164 -6 14 4
|
||||
165 -6 16 4
|
||||
166 -6 18 4
|
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167 -6 20 4
|
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168 -4 -20 4
|
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169 -4 -18 4
|
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170 -4 -16 4
|
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171 -4 -14 4
|
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172 -4 -12 4
|
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173 -4 -10 4
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174 -4 -8 4
|
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175 -4 -6 4
|
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176 -4 -4 4
|
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177 -4 -2 4
|
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178 -4 0 4
|
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179 -4 2 4
|
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180 -4 4 4
|
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|
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184 -4 12 4
|
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|
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187 -4 18 4
|
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188 -4 20 4
|
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189 -2 -20 4
|
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190 -2 -18 4
|
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191 -2 -16 4
|
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192 -2 -14 4
|
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193 -2 -12 4
|
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|
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|
||||
196 -2 -6 4
|
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197 -2 -4 4
|
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198 -2 -2 4
|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
215 0 -10 4
|
||||
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|
||||
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|
||||
218 0 -4 4
|
||||
219 0 -2 4
|
||||
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|
||||
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|
||||
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|
||||
223 0 6 4
|
||||
224 0 8 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
236 2 -10 4
|
||||
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|
||||
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|
||||
239 2 -4 4
|
||||
240 2 -2 4
|
||||
241 2 0 4
|
||||
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|
||||
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|
||||
244 2 6 4
|
||||
245 2 8 4
|
||||
246 2 10 4
|
||||
247 2 12 4
|
||||
248 2 14 4
|
||||
249 2 16 4
|
||||
250 2 18 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
260 4 -4 4
|
||||
261 4 -2 4
|
||||
262 4 0 4
|
||||
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|
||||
264 4 4 4
|
||||
265 4 6 4
|
||||
266 4 8 4
|
||||
267 4 10 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
275 6 -16 4
|
||||
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|
||||
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|
||||
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|
||||
279 6 -8 4
|
||||
280 6 -6 4
|
||||
281 6 -4 4
|
||||
282 6 -2 4
|
||||
283 6 0 4
|
||||
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|
||||
285 6 4 4
|
||||
286 6 6 4
|
||||
287 6 8 4
|
||||
288 6 10 4
|
||||
289 6 12 4
|
||||
290 6 14 4
|
||||
291 6 16 4
|
||||
292 6 18 4
|
||||
293 6 20 4
|
||||
294 8 -20 4
|
||||
295 8 -18 4
|
||||
296 8 -16 4
|
||||
297 8 -14 4
|
||||
298 8 -12 4
|
||||
299 8 -10 4
|
||||
300 8 -8 4
|
||||
301 8 -6 4
|
||||
302 8 -4 4
|
||||
303 8 -2 4
|
||||
304 8 0 4
|
||||
305 8 2 4
|
||||
306 8 4 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
313 8 18 4
|
||||
314 8 20 4
|
||||
315 10 -20 4
|
||||
316 10 -18 4
|
||||
317 10 -16 4
|
||||
318 10 -14 4
|
||||
319 10 -12 4
|
||||
320 10 -10 4
|
||||
321 10 -8 4
|
||||
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|
||||
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|
||||
324 10 -2 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
330 10 10 4
|
||||
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|
||||
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|
||||
333 10 16 4
|
||||
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|
||||
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|
||||
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|
||||
337 12 -18 4
|
||||
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|
||||
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|
||||
340 12 -12 4
|
||||
341 12 -10 4
|
||||
342 12 -8 4
|
||||
343 12 -6 4
|
||||
344 12 -4 4
|
||||
345 12 -2 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
350 12 8 4
|
||||
351 12 10 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
365 14 -4 4
|
||||
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|
||||
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|
||||
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|
||||
369 14 4 4
|
||||
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|
||||
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|
||||
372 14 10 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
379 16 -18 4
|
||||
380 16 -16 4
|
||||
381 16 -14 4
|
||||
382 16 -12 4
|
||||
383 16 -10 4
|
||||
384 16 -8 4
|
||||
385 16 -6 4
|
||||
386 16 -4 4
|
||||
387 16 -2 4
|
||||
388 16 0 4
|
||||
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|
||||
390 16 4 4
|
||||
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|
||||
392 16 8 4
|
||||
393 16 10 4
|
||||
394 16 12 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
400 18 -18 4
|
||||
401 18 -16 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
406 18 -6 4
|
||||
407 18 -4 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
413 18 8 4
|
||||
414 18 10 4
|
||||
415 18 12 4
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
420 20 -20 4
|
||||
421 20 -18 4
|
||||
422 20 -16 4
|
||||
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|
||||
424 20 -12 4
|
||||
425 20 -10 4
|
||||
426 20 -8 4
|
||||
427 20 -6 4
|
||||
428 20 -4 4
|
||||
429 20 -2 4
|
||||
430 20 0 4
|
||||
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|
||||
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|
||||
433 20 6 4
|
||||
434 20 8 4
|
||||
435 20 10 4
|
||||
436 20 12 4
|
||||
437 20 14 4
|
||||
438 20 16 4
|
||||
439 20 18 4
|
||||
440 20 20 4
|
441
m3d/test/pipeline/xyz.dat
Executable file
441
m3d/test/pipeline/xyz.dat
Executable file
@ -0,0 +1,441 @@
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
0 -6 4
|
||||
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|
||||
0 -2 4
|
||||
0 0 4
|
||||
0 2 4
|
||||
0 4 4
|
||||
0 6 4
|
||||
0 8 4
|
||||
0 10 4
|
||||
0 12 4
|
||||
0 14 4
|
||||
0 16 4
|
||||
0 18 4
|
||||
0 20 4
|
||||
2 -20 4
|
||||
2 -18 4
|
||||
2 -16 4
|
||||
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|
||||
2 -12 4
|
||||
2 -10 4
|
||||
2 -8 4
|
||||
2 -6 4
|
||||
2 -4 4
|
||||
2 -2 4
|
||||
2 0 4
|
||||
2 2 4
|
||||
2 4 4
|
||||
2 6 4
|
||||
2 8 4
|
||||
2 10 4
|
||||
2 12 4
|
||||
2 14 4
|
||||
2 16 4
|
||||
2 18 4
|
||||
2 20 4
|
||||
4 -20 4
|
||||
4 -18 4
|
||||
4 -16 4
|
||||
4 -14 4
|
||||
4 -12 4
|
||||
4 -10 4
|
||||
4 -8 4
|
||||
4 -6 4
|
||||
4 -4 4
|
||||
4 -2 4
|
||||
4 0 4
|
||||
4 2 4
|
||||
4 4 4
|
||||
4 6 4
|
||||
4 8 4
|
||||
4 10 4
|
||||
4 12 4
|
||||
4 14 4
|
||||
4 16 4
|
||||
4 18 4
|
||||
4 20 4
|
||||
6 -20 4
|
||||
6 -18 4
|
||||
6 -16 4
|
||||
6 -14 4
|
||||
6 -12 4
|
||||
6 -10 4
|
||||
6 -8 4
|
||||
6 -6 4
|
||||
6 -4 4
|
||||
6 -2 4
|
||||
6 0 4
|
||||
6 2 4
|
||||
6 4 4
|
||||
6 6 4
|
||||
6 8 4
|
||||
6 10 4
|
||||
6 12 4
|
||||
6 14 4
|
||||
6 16 4
|
||||
6 18 4
|
||||
6 20 4
|
||||
8 -20 4
|
||||
8 -18 4
|
||||
8 -16 4
|
||||
8 -14 4
|
||||
8 -12 4
|
||||
8 -10 4
|
||||
8 -8 4
|
||||
8 -6 4
|
||||
8 -4 4
|
||||
8 -2 4
|
||||
8 0 4
|
||||
8 2 4
|
||||
8 4 4
|
||||
8 6 4
|
||||
8 8 4
|
||||
8 10 4
|
||||
8 12 4
|
||||
8 14 4
|
||||
8 16 4
|
||||
8 18 4
|
||||
8 20 4
|
||||
10 -20 4
|
||||
10 -18 4
|
||||
10 -16 4
|
||||
10 -14 4
|
||||
10 -12 4
|
||||
10 -10 4
|
||||
10 -8 4
|
||||
10 -6 4
|
||||
10 -4 4
|
||||
10 -2 4
|
||||
10 0 4
|
||||
10 2 4
|
||||
10 4 4
|
||||
10 6 4
|
||||
10 8 4
|
||||
10 10 4
|
||||
10 12 4
|
||||
10 14 4
|
||||
10 16 4
|
||||
10 18 4
|
||||
10 20 4
|
||||
12 -20 4
|
||||
12 -18 4
|
||||
12 -16 4
|
||||
12 -14 4
|
||||
12 -12 4
|
||||
12 -10 4
|
||||
12 -8 4
|
||||
12 -6 4
|
||||
12 -4 4
|
||||
12 -2 4
|
||||
12 0 4
|
||||
12 2 4
|
||||
12 4 4
|
||||
12 6 4
|
||||
12 8 4
|
||||
12 10 4
|
||||
12 12 4
|
||||
12 14 4
|
||||
12 16 4
|
||||
12 18 4
|
||||
12 20 4
|
||||
14 -20 4
|
||||
14 -18 4
|
||||
14 -16 4
|
||||
14 -14 4
|
||||
14 -12 4
|
||||
14 -10 4
|
||||
14 -8 4
|
||||
14 -6 4
|
||||
14 -4 4
|
||||
14 -2 4
|
||||
14 0 4
|
||||
14 2 4
|
||||
14 4 4
|
||||
14 6 4
|
||||
14 8 4
|
||||
14 10 4
|
||||
14 12 4
|
||||
14 14 4
|
||||
14 16 4
|
||||
14 18 4
|
||||
14 20 4
|
||||
16 -20 4
|
||||
16 -18 4
|
||||
16 -16 4
|
||||
16 -14 4
|
||||
16 -12 4
|
||||
16 -10 4
|
||||
16 -8 4
|
||||
16 -6 4
|
||||
16 -4 4
|
||||
16 -2 4
|
||||
16 0 4
|
||||
16 2 4
|
||||
16 4 4
|
||||
16 6 4
|
||||
16 8 4
|
||||
16 10 4
|
||||
16 12 4
|
||||
16 14 4
|
||||
16 16 4
|
||||
16 18 4
|
||||
16 20 4
|
||||
18 -20 4
|
||||
18 -18 4
|
||||
18 -16 4
|
||||
18 -14 4
|
||||
18 -12 4
|
||||
18 -10 4
|
||||
18 -8 4
|
||||
18 -6 4
|
||||
18 -4 4
|
||||
18 -2 4
|
||||
18 0 4
|
||||
18 2 4
|
||||
18 4 4
|
||||
18 6 4
|
||||
18 8 4
|
||||
18 10 4
|
||||
18 12 4
|
||||
18 14 4
|
||||
18 16 4
|
||||
18 18 4
|
||||
18 20 4
|
||||
20 -20 4
|
||||
20 -18 4
|
||||
20 -16 4
|
||||
20 -14 4
|
||||
20 -12 4
|
||||
20 -10 4
|
||||
20 -8 4
|
||||
20 -6 4
|
||||
20 -4 4
|
||||
20 -2 4
|
||||
20 0 4
|
||||
20 2 4
|
||||
20 4 4
|
||||
20 6 4
|
||||
20 8 4
|
||||
20 10 4
|
||||
20 12 4
|
||||
20 14 4
|
||||
20 16 4
|
||||
20 18 4
|
||||
20 20 4
|
6
m3d/test/pipeline/xyz2XYZ.m
Executable file
6
m3d/test/pipeline/xyz2XYZ.m
Executable file
@ -0,0 +1,6 @@
|
||||
function [X,Y,Z] = xyz2XYZ(x,y,z)
|
||||
F = TriScatteredInterp(x,y,z);
|
||||
%% 1D x,y,z to 2D X,Y,Z
|
||||
[X,Y]= meshgrid(linspace(min(x),max(x),100), linspace(min(y),max(y),100));
|
||||
Z = F(X, Y);
|
||||
end
|
21
m3d/test/prism/B.dat
Normal file
21
m3d/test/prism/B.dat
Normal file
@ -0,0 +1,21 @@
|
||||
1.737757574463652e-10 -635.4085370474393 -212.8584696131428
|
||||
7.100187505910168e-11 -863.7006228547203 -200.1092298959717
|
||||
6.971809074841938e-11 -1189.007890611924 -141.7214283010672
|
||||
-4.39596864735181e-11 -1651.918543074786 10.78045214147956
|
||||
8.561650212168858e-11 -2298.687469671002 350.1488193308566
|
||||
9.076487425421862e-11 -3154.961236659576 1043.789659412136
|
||||
7.697411908173454e-11 -4144.066208409773 2353.372919599165
|
||||
7.003903682608996e-11 -4918.860355559848 4545.864439676168
|
||||
6.215104250478429e-11 -4754.740298994076 7508.666465817736
|
||||
-3.176373552203626e-12 -3007.689004117421 10265.02007584552
|
||||
-3.970466940254533e-11 -1.092672501958047e-10 11400.03318745997
|
||||
-5.331013611781753e-11 3007.689004117223 10265.02007584555
|
||||
-1.222374422006362e-10 4754.740298993823 7508.666465817816
|
||||
-5.878938049536878e-11 4918.860355559699 4545.864439676241
|
||||
-1.449220433192904e-10 4144.066208409641 2353.372919599243
|
||||
-1.796900988261193e-10 3154.961236659423 1043.789659412213
|
||||
-1.849774373015583e-10 2298.687469670839 350.1488193309253
|
||||
1.524659305057741e-11 1651.918543074769 10.78045214151214
|
||||
-2.047205841619739e-10 1189.007890611837 -141.7214283009593
|
||||
-7.065611356305452e-11 863.7006228546859 -200.1092298958737
|
||||
-2.23121216888216e-10 635.4085370473767 -212.8584696130135
|
21
m3d/test/prism/T.dat
Normal file
21
m3d/test/prism/T.dat
Normal file
@ -0,0 +1,21 @@
|
||||
21.12231754000101 -3.019209235818551e-14 -6.886278599503955e-14 3.474158572722716e-14 -63.54910194478789 -0.1839987196832902 1.013296250377459e-14 -0.1839987196833266 42.42678440478725
|
||||
31.87138101262279 5.624828165360588e-14 6.617444900424221e-14 -1.985233470127266e-14 -90.30444582602237 9.99293632784965 5.004442705945817e-14 9.992936327849796 58.4330648134002
|
||||
49.29453097814596 1.108422020821057e-13 1.19114008207636e-13 -9.347140921849213e-14 -128.8385075423322 31.51421540285394 2.183756817139993e-13 31.5142154028544 79.5439765641856
|
||||
78.12325569581066 -3.805030817743927e-14 -1.621274000603934e-13 -1.48892510259545e-13 -182.4574255685077 75.12864161221496 4.880365614062863e-14 75.12864161221508 104.334169872696
|
||||
126.4986335395693 -1.224227306578481e-13 -2.216844041642114e-13 -8.271806125530277e-14 -250.5577297032963 160.2435924801685 1.753622898612419e-13 160.2435924801684 124.0590961637267
|
||||
207.6337869138934 -9.595295105615121e-14 -8.106370003019671e-14 -4.367513634279986e-13 -317.0213860559829 317.0213860559825 9.098986738083304e-14 317.0213860559826 109.3875991420891
|
||||
339.6486195020142 -1.323488980084844e-14 0 -8.602678370551488e-14 -324.2013637302235 572.972272004424 -3.110199103199384e-13 572.9722720044236 -15.44725577179146
|
||||
536.5279311516452 2.051407919131509e-13 1.323488980084844e-13 1.522012327097571e-13 -149.7675027828188 886.3048081641168 -5.161607022330893e-13 886.3048081641166 -386.7604283688267
|
||||
780.8632702299377 1.455837878093329e-13 2.646977960169689e-14 6.617444900424221e-14 301.7336734016437 1032.383272758852 6.617444900424221e-14 1032.383272758853 -1082.596943631582
|
||||
997.1209753131577 3.308722450212111e-15 -1.058791184067875e-13 8.271806125530277e-14 844.5477841780263 717.9269806455579 1.323488980084844e-13 717.9269806455579 -1841.668759491184
|
||||
1084.557107935641 0 -1.588186776101813e-13 4.301339185275744e-14 1084.557107935641 2.249931266144235e-13 -2.911675756186657e-13 1.852884572118782e-13 -2169.114215871282
|
||||
997.1209753131577 -1.257314531080602e-13 -6.617444900424221e-14 -6.617444900424221e-14 844.5477841780263 -717.9269806455578 -2.646977960169689e-13 -717.9269806455573 -1841.668759491184
|
||||
780.8632702299373 -1.654361225106055e-13 -9.26442286059391e-14 3.970466940254533e-14 301.7336734016437 -1032.383272758852 -1.058791184067875e-13 -1032.383272758853 -1082.596943631582
|
||||
536.5279311516449 -1.78671012311454e-13 2.845501307182415e-13 2.249931266144235e-13 -149.7675027828188 -886.3048081641169 3.639594695233322e-13 -886.3048081641166 -386.7604283688262
|
||||
339.6486195020144 -1.919059021123024e-13 1.422750653591208e-13 -6.28657265540301e-14 -324.2013637302236 -572.9722720044241 1.985233470127266e-13 -572.9722720044239 -15.44725577179121
|
||||
207.6337869138933 1.654361225106055e-14 -1.20768369432742e-13 0 -317.0213860559826 -317.0213860559829 -2.804142276554764e-13 -317.0213860559826 109.3875991420888
|
||||
126.4986335395695 -1.058791184067875e-13 1.712263867984767e-13 -1.48892510259545e-14 -250.5577297032962 -160.2435924801688 -1.745351092486888e-13 -160.2435924801684 124.0590961637264
|
||||
78.12325569581127 8.271806125530277e-16 2.067951531382569e-14 -1.455837878093329e-13 -182.4574255685078 -75.12864161221478 1.77843831698901e-13 -75.12864161221437 104.3341698726953
|
||||
49.29453097814511 1.079470699381701e-13 -4.264116057710858e-13 -1.468245587281624e-13 -128.8385075423318 -31.51421540285424 1.294537658645488e-13 -31.51421540285419 79.54397656418534
|
||||
31.8713810126225 -1.137373342260413e-13 1.178732372888064e-13 -1.364848010712496e-14 -90.30444582602198 -9.992936327849893 7.320548421094295e-14 -9.992936327850073 58.43306481340039
|
||||
21.12231754000106 -6.369290716658313e-14 9.822769774067204e-14 3.019209235818551e-14 -63.54910194478767 0.1839987196831578 2.460862322345257e-14 0.1839987196832273 42.4267844047873
|
21
m3d/test/prism/V.dat
Normal file
21
m3d/test/prism/V.dat
Normal file
@ -0,0 +1,21 @@
|
||||
7.945192481831718e-06
|
||||
1.017383329478892e-05
|
||||
1.322404102437235e-05
|
||||
1.744522272350393e-05
|
||||
2.331989022427822e-05
|
||||
3.144984660923422e-05
|
||||
4.239139532730504e-05
|
||||
5.611494310888429e-05
|
||||
7.096632415803106e-05
|
||||
8.302285058871522e-05
|
||||
8.771664564788265e-05
|
||||
8.302285058871541e-05
|
||||
7.096632415803139e-05
|
||||
5.611494310888459e-05
|
||||
4.239139532730563e-05
|
||||
3.144984660923555e-05
|
||||
2.331989022428026e-05
|
||||
1.744522272350437e-05
|
||||
1.322404102437398e-05
|
||||
1.017383329478864e-05
|
||||
7.94519248183215e-06
|
7
m3d/test/prism/cube.ele
Executable file
7
m3d/test/prism/cube.ele
Executable file
@ -0,0 +1,7 @@
|
||||
6
|
||||
0 2 0 3 7 0 0 200
|
||||
1 2 0 7 6 0 0 200
|
||||
2 5 4 0 6 0 0 200
|
||||
3 0 4 7 6 0 0 200
|
||||
4 0 2 1 6 0 0 200
|
||||
5 5 0 1 6 0 0 200
|
10
m3d/test/prism/cube.node
Executable file
10
m3d/test/prism/cube.node
Executable file
@ -0,0 +1,10 @@
|
||||
8
|
||||
0 -5 5 0
|
||||
1 -5 -5 0
|
||||
2 5 -5 0
|
||||
3 5 5 0
|
||||
4 -5 5 -10
|
||||
5 -5 -5 -10
|
||||
6 5 -5 -10
|
||||
7 5 5 -10
|
||||
|
21
m3d/test/prism/heath2005_result.dat
Normal file
21
m3d/test/prism/heath2005_result.dat
Normal file
@ -0,0 +1,21 @@
|
||||
0 -30 0 21.122317540001099 0 0 0 -63.549101944787999 -0.18399871968333148 0 -0.18399871968333148 42.4267844047869
|
||||
0 -27 0 31.871381012622496 0 0 0 -90.304445826022018 9.992936327849824 0 9.992936327849824 58.433064813399525
|
||||
0 -24 0 49.29453097814573 0 0 0 -128.8385075423322 31.51421540285429 0 31.51421540285429 79.543976564186465
|
||||
0 -21 0 78.123255695811622 0 0 0 -182.45742556850811 75.12864161221475 0 75.12864161221475 104.33416987269649
|
||||
0 -18 0 126.49863353956923 0 0 0 -250.55772970329625 160.24359248016859 0 160.24359248016859 124.05909616372702
|
||||
0 -15 0 207.6337869138932 0 0 0 -317.02138605598282 317.02138605598282 0 317.02138605598282 109.38759914208961
|
||||
0 -12 0 339.64861950201418 0 0 0 -324.20136373022308 572.97227200442421 0 572.97227200442421 -15.447255771791106
|
||||
0 -9 0 536.52793115164491 0 0 0 -149.76750278281909 886.30480816411728 0 886.30480816411728 -386.76042836882584
|
||||
0 -6 0 780.86327022993771 0 0 0 301.73367340164367 1032.3832727588522 0 1032.3832727588522 -1082.5969436315813
|
||||
0 -3 0 997.12097531315806 0 0 0 844.54778417802595 717.92698064555793 0 717.92698064555793 -1841.6687594911841
|
||||
0 0 0 1084.5571079356412 0 0 0 1084.5571079356412 0 0 0 -2169.1142158712823
|
||||
0 3 0 997.12097531315771 0 0 0 844.54778417802595 -717.92698064555793 0 -717.92698064555793 -1841.6687594911837
|
||||
0 6 0 780.86327022993726 0 0 0 301.73367340164378 -1032.3832727588526 0 -1032.3832727588526 -1082.5969436315811
|
||||
0 9 0 536.52793115164468 0 0 0 -149.76750278281909 -886.3048081641175 0 -886.3048081641175 -386.76042836882561
|
||||
0 12 0 339.64861950201595 0 0 0 -324.20136373022308 -572.97227200442421 0 -572.97227200442421 -15.447255771792868
|
||||
0 15 0 207.63378691389613 0 0 0 -317.02138605598282 -317.02138605598282 0 -317.02138605598282 109.38759914208669
|
||||
0 18 0 126.4986335395718 0 0 0 -250.55772970329625 -160.24359248016853 0 -160.24359248016853 124.05909616372445
|
||||
0 21 0 78.123255695812801 0 0 0 -182.45742556850811 -75.128641612214707 0 -75.128641612214707 104.33416987269531
|
||||
0 24 0 49.294530978142291 0 0 0 -128.83850754233234 -31.514215402854362 0 -31.514215402854362 79.543976564190046
|
||||
0 27 0 31.871381012621434 0 0 0 -90.304445826022018 -9.9929363278497902 0 -9.9929363278497902 58.433064813400584
|
||||
0 30 0 21.122317539998271 0 0 0 -63.549101944787999 0.18399871968336617 0 0.18399871968336617 42.426784404789728
|
77
m3d/test/prism/plot_profile.m
Normal file
77
m3d/test/prism/plot_profile.m
Normal file
@ -0,0 +1,77 @@
|
||||
clear all;
|
||||
%% load closed-form from prism
|
||||
xyz = load('xyz.dat');
|
||||
x = xyz(:,1);
|
||||
y = xyz(:,2);
|
||||
|
||||
%% solution
|
||||
T = load('T.dat'); %% our solutions
|
||||
T2 = load('heath2005_result.dat'); %% reference solutions from prism
|
||||
|
||||
|
||||
lsize=1.5;
|
||||
fsize=11;
|
||||
msize= 4;
|
||||
|
||||
|
||||
%% (xx,xy,xz,yx,yy,yz,zx,zy,zz) in T.dat
|
||||
%% plot tensor (xx,yy,zz)
|
||||
|
||||
figure('Position',[0 0 800 600]);
|
||||
subplot(3,2,1);
|
||||
plot(y, T(:,1),'ko', y, T2(:,4), 'k-', 'MarkerSize', msize, 'LineWidth', lsize);
|
||||
ylabel('T_{xx}(nT/m)','FontSize', fsize);
|
||||
set(gca,'fontsize',fsize);
|
||||
|
||||
subplot(3,2,2);
|
||||
plot(y, (T(:,1)-T2(:,4))./T2(:,4)*100, 'ko', 'MarkerSize', msize, 'LineWidth', lsize);
|
||||
ylabel('Relative error of T_{xx} (%)','FontSize', fsize);
|
||||
set(gca,'fontsize',fsize);
|
||||
|
||||
subplot(3,2,3);
|
||||
plot(y, T(:,5), 'ko', y, T2(:,8), 'k-', 'MarkerSize', msize, 'LineWidth', lsize);
|
||||
ylabel({'T_{yy}(nT/m)'},'FontSize', fsize);
|
||||
set(gca,'fontsize',fsize);
|
||||
|
||||
subplot(3,2,4);
|
||||
plot(y, (T(:,5)-T2(:,8))./T2(:,8)*100, 'ko', 'MarkerSize', msize, 'LineWidth', lsize);
|
||||
ylabel('Relative error of T_{yy} (%)','FontSize', fsize);
|
||||
set(gca,'fontsize',fsize);
|
||||
|
||||
subplot(3,2,5);
|
||||
plot(y, T(:,9), 'ko', y, T2(:,12), 'k-', 'MarkerSize', msize, 'LineWidth', lsize);
|
||||
xlabel('y(m)','FontSize', fsize);
|
||||
ylabel({'T_{zz}(nT/m)'},'FontSize', fsize);
|
||||
ylim([-5000,1000]);
|
||||
hl=legend('Our closed-form solutions', 'Closed-form solutions for prism');
|
||||
set(hl, 'Box', 'off', 'location', 'Best','FontSize', fsize) ;
|
||||
set(gca,'fontsize',fsize);
|
||||
|
||||
subplot(3,2,6);
|
||||
plot(y, (T(:,9)-T2(:,12))./T2(:,12)*100, 'ko', 'MarkerSize', msize, 'LineWidth', lsize);
|
||||
xlabel('y(m)','FontSize', fsize);
|
||||
ylabel('Relative error of T_{zz} (%)','FontSize', fsize);
|
||||
set(gca,'fontsize',fsize);
|
||||
|
||||
|
||||
%% plot tensor (yz)
|
||||
figure('Position',[0 0 800 250]);
|
||||
subplot(1,2,1);
|
||||
plot(y, T(:,6),'ko', y, T2(:,9), 'k-', 'MarkerSize', msize, 'LineWidth', lsize);
|
||||
ylabel({'T_{yz}(nT/m)'},'FontSize', fsize);
|
||||
ylim([-1500,2000]);
|
||||
hl=legend('Our closed-form solutions', 'Closed-form solutions for prism');
|
||||
set(hl, 'Box', 'off', 'location', 'Best','FontSize', fsize) ;
|
||||
xlabel('y(m)','FontSize', fsize);
|
||||
set(gca,'fontsize',fsize);
|
||||
|
||||
subplot(1,2,2);
|
||||
plot(y, (T(:,6)-T2(:,9))./T2(:,9)*100, 'ko', 'MarkerSize', msize, 'LineWidth', lsize);
|
||||
ylabel('Relative error of T_{yz} (%)','FontSize', fsize);
|
||||
xlabel('y(m)','FontSize', fsize);
|
||||
set(gca,'fontsize',fsize);
|
||||
|
||||
|
||||
|
||||
|
||||
|
23
m3d/test/prism/site.dat
Executable file
23
m3d/test/prism/site.dat
Executable file
@ -0,0 +1,23 @@
|
||||
21
|
||||
0 0 -30 10
|
||||
1 0 -27 10
|
||||
2 0 -24 10
|
||||
3 0 -21 10
|
||||
4 0 -18 10
|
||||
5 0 -15 10
|
||||
6 0 -12 10
|
||||
7 0 -9 10
|
||||
8 0 -6 10
|
||||
9 0 -3 10
|
||||
10 0 0 10
|
||||
11 0 3 10
|
||||
12 0 6 10
|
||||
13 0 9 10
|
||||
14 0 12 10
|
||||
15 0 15 10
|
||||
16 0 18 10
|
||||
17 0 21 10
|
||||
18 0 24 10
|
||||
19 0 27 10
|
||||
20 0 30 10
|
||||
|
950
m3d/test/prism/solution_one_profile.eps
Normal file
950
m3d/test/prism/solution_one_profile.eps
Normal file
@ -0,0 +1,950 @@
|
||||
%!PS-Adobe-3.0 EPSF-3.0
|
||||
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|
||||
%%Title: /home/renzh/code/m3d2geophysics/m3d/test/prism/solution_one_profile.eps
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|
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998 1675 mt 998 475 L
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3568 1675 mt 3568 475 L
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1277 1831 mt
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1705 1831 mt
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||||
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||||
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|
||||
2247 1831 mt
|
||||
(0) s
|
||||
2711 1675 mt 2711 1649 L
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||||
2711 475 mt 2711 500 L
|
||||
2638 1831 mt
|
||||
(10) s
|
||||
3139 1675 mt 3139 1649 L
|
||||
3139 475 mt 3139 500 L
|
||||
3066 1831 mt
|
||||
(20) s
|
||||
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|
||||
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|
||||
3495 1831 mt
|
||||
(30) s
|
||||
998 1675 mt 1023 1675 L
|
||||
3568 1675 mt 3542 1675 L
|
||||
890 1723 mt
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
3568 875 mt 3542 875 L
|
||||
670 923 mt
|
||||
(1000) s
|
||||
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|
||||
3568 475 mt 3542 475 L
|
||||
670 523 mt
|
||||
(1500) s
|
||||
998 1675 mt 3568 1675 L
|
||||
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|
||||
998 1675 mt 998 475 L
|
||||
3568 1675 mt 3568 475 L
|
||||
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|
||||
18 w
|
||||
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|
||||
|
||||
18 w
|
||||
gs 930 739 2707 988 rc
|
||||
24 24 998 1658 FO
|
||||
24 24 1126 1649 FO
|
||||
24 24 1255 1635 FO
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
24 24 2154 877 FO
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
24 24 2797 1403 FO
|
||||
24 24 2925 1508 FO
|
||||
24 24 3054 1573 FO
|
||||
24 24 3182 1612 FO
|
||||
24 24 3311 1635 FO
|
||||
24 24 3439 1649 FO
|
||||
24 24 3568 1658 FO
|
||||
gr
|
||||
|
||||
gs 998 475 2571 1201 rc
|
||||
129 9 128 14 129 23 128 39 129 65 128 105 129 158 128 195
|
||||
129 173 128 70 129 -70 128 -173 129 -195 128 -158 129 -105 128 -65
|
||||
129 -39 128 -23 129 -14 128 -9 998 1658 21 MP stroke
|
||||
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|
||||
|
||||
528 1356 mt -90 rotate
|
||||
(T) s
|
||||
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|
||||
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|
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|
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|
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|
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|
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|
||||
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|
||||
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|
||||
6 w
|
||||
1 sg
|
||||
0 1200 2569 0 0 -1200 4380 1675 4 MP
|
||||
PP
|
||||
-2569 0 0 1200 2569 0 0 -1200 4380 1675 5 MP stroke
|
||||
4 w
|
||||
DO
|
||||
SO
|
||||
6 w
|
||||
0 sg
|
||||
4380 1675 mt 6949 1675 L
|
||||
4380 475 mt 6949 475 L
|
||||
4380 1675 mt 4380 475 L
|
||||
6949 1675 mt 6949 475 L
|
||||
4380 1675 mt 6949 1675 L
|
||||
4380 1675 mt 4380 475 L
|
||||
4380 1675 mt 4380 1649 L
|
||||
4380 475 mt 4380 500 L
|
||||
4231 1831 mt
|
||||
(-30) s
|
||||
4808 1675 mt 4808 1649 L
|
||||
4808 475 mt 4808 500 L
|
||||
4659 1831 mt
|
||||
(-20) s
|
||||
5236 1675 mt 5236 1649 L
|
||||
5236 475 mt 5236 500 L
|
||||
5087 1831 mt
|
||||
(-10) s
|
||||
5664 1675 mt 5664 1649 L
|
||||
5664 475 mt 5664 500 L
|
||||
5628 1831 mt
|
||||
(0) s
|
||||
6092 1675 mt 6092 1649 L
|
||||
6092 475 mt 6092 500 L
|
||||
6019 1831 mt
|
||||
(10) s
|
||||
6520 1675 mt 6520 1649 L
|
||||
6520 475 mt 6520 500 L
|
||||
6447 1831 mt
|
||||
(20) s
|
||||
6949 1675 mt 6949 1649 L
|
||||
6949 475 mt 6949 500 L
|
||||
6876 1831 mt
|
||||
(30) s
|
||||
4380 1675 mt 4405 1675 L
|
||||
6949 1675 mt 6923 1675 L
|
||||
4195 1723 mt
|
||||
(-5) s
|
||||
4380 1375 mt 4405 1375 L
|
||||
6949 1375 mt 6923 1375 L
|
||||
4272 1423 mt
|
||||
(0) s
|
||||
4380 1075 mt 4405 1075 L
|
||||
6949 1075 mt 6923 1075 L
|
||||
4272 1123 mt
|
||||
(5) s
|
||||
4380 775 mt 4405 775 L
|
||||
6949 775 mt 6923 775 L
|
||||
4199 823 mt
|
||||
(10) s
|
||||
4380 475 mt 4405 475 L
|
||||
6949 475 mt 6923 475 L
|
||||
4199 523 mt
|
||||
(15) s
|
||||
4380 421 mt
|
||||
(x 10) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 88 FMSR
|
||||
|
||||
4629 340 mt
|
||||
(-12) s
|
||||
4380 1675 mt 6949 1675 L
|
||||
4380 475 mt 6949 475 L
|
||||
4380 1675 mt 4380 475 L
|
||||
6949 1675 mt 6949 475 L
|
||||
gs 4380 475 2570 1201 rc
|
||||
18 w
|
||||
gr
|
||||
|
||||
18 w
|
||||
gs 4312 514 2706 1047 rc
|
||||
24 24 4380 1400 FO
|
||||
24 24 4508 1319 FO
|
||||
24 24 4636 1347 FO
|
||||
24 24 4765 1449 FO
|
||||
24 24 4893 1371 FO
|
||||
24 24 5022 1369 FO
|
||||
24 24 5150 1375 FO
|
||||
24 24 5279 1371 FO
|
||||
24 24 5407 1375 FO
|
||||
24 24 5536 1377 FO
|
||||
24 24 5664 1376 FO
|
||||
24 24 5792 1375 FO
|
||||
24 24 5921 1375 FO
|
||||
24 24 6049 1372 FO
|
||||
24 24 6178 1402 FO
|
||||
24 24 6306 1457 FO
|
||||
24 24 6435 1484 FO
|
||||
24 24 6563 1492 FO
|
||||
24 24 6692 1031 FO
|
||||
24 24 6820 1174 FO
|
||||
24 24 6949 582 FO
|
||||
gr
|
||||
|
||||
gs 4380 475 2570 1201 rc
|
||||
gr
|
||||
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
4053 1767 mt -90 rotate
|
||||
(Relative error of T) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 96 FMSR
|
||||
|
||||
4119 721 mt -90 rotate
|
||||
(xx) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
4053 625 mt -90 rotate
|
||||
( \(%\)) s
|
||||
90 rotate
|
||||
6 w
|
||||
1 sg
|
||||
0 1200 2570 0 0 -1200 998 3401 4 MP
|
||||
PP
|
||||
-2570 0 0 1200 2570 0 0 -1200 998 3401 5 MP stroke
|
||||
4 w
|
||||
DO
|
||||
SO
|
||||
6 w
|
||||
0 sg
|
||||
998 3401 mt 3568 3401 L
|
||||
998 2201 mt 3568 2201 L
|
||||
998 3401 mt 998 2201 L
|
||||
3568 3401 mt 3568 2201 L
|
||||
998 3401 mt 3568 3401 L
|
||||
998 3401 mt 998 2201 L
|
||||
998 3401 mt 998 3375 L
|
||||
998 2201 mt 998 2226 L
|
||||
849 3557 mt
|
||||
(-30) s
|
||||
1426 3401 mt 1426 3375 L
|
||||
1426 2201 mt 1426 2226 L
|
||||
1277 3557 mt
|
||||
(-20) s
|
||||
1854 3401 mt 1854 3375 L
|
||||
1854 2201 mt 1854 2226 L
|
||||
1705 3557 mt
|
||||
(-10) s
|
||||
2283 3401 mt 2283 3375 L
|
||||
2283 2201 mt 2283 2226 L
|
||||
2247 3557 mt
|
||||
(0) s
|
||||
2711 3401 mt 2711 3375 L
|
||||
2711 2201 mt 2711 2226 L
|
||||
2638 3557 mt
|
||||
(10) s
|
||||
3139 3401 mt 3139 3375 L
|
||||
3139 2201 mt 3139 2226 L
|
||||
3066 3557 mt
|
||||
(20) s
|
||||
3568 3401 mt 3568 3375 L
|
||||
3568 2201 mt 3568 2226 L
|
||||
3495 3557 mt
|
||||
(30) s
|
||||
998 3401 mt 1023 3401 L
|
||||
3568 3401 mt 3542 3401 L
|
||||
666 3449 mt
|
||||
(-500) s
|
||||
998 3101 mt 1023 3101 L
|
||||
3568 3101 mt 3542 3101 L
|
||||
890 3149 mt
|
||||
(0) s
|
||||
998 2801 mt 1023 2801 L
|
||||
3568 2801 mt 3542 2801 L
|
||||
743 2849 mt
|
||||
(500) s
|
||||
998 2501 mt 1023 2501 L
|
||||
3568 2501 mt 3542 2501 L
|
||||
670 2549 mt
|
||||
(1000) s
|
||||
998 2201 mt 1023 2201 L
|
||||
3568 2201 mt 3542 2201 L
|
||||
670 2249 mt
|
||||
(1500) s
|
||||
998 3401 mt 3568 3401 L
|
||||
998 2201 mt 3568 2201 L
|
||||
998 3401 mt 998 2201 L
|
||||
3568 3401 mt 3568 2201 L
|
||||
gs 998 2201 2571 1201 rc
|
||||
18 w
|
||||
gr
|
||||
|
||||
18 w
|
||||
gs 930 2382 2707 982 rc
|
||||
24 24 998 3139 FO
|
||||
24 24 1126 3155 FO
|
||||
24 24 1255 3178 FO
|
||||
24 24 1383 3210 FO
|
||||
24 24 1512 3251 FO
|
||||
24 24 1640 3291 FO
|
||||
24 24 1769 3295 FO
|
||||
24 24 1897 3190 FO
|
||||
24 24 2026 2919 FO
|
||||
24 24 2154 2594 FO
|
||||
24 24 2283 2450 FO
|
||||
24 24 2411 2594 FO
|
||||
24 24 2540 2919 FO
|
||||
24 24 2668 3190 FO
|
||||
24 24 2797 3295 FO
|
||||
24 24 2925 3291 FO
|
||||
24 24 3054 3251 FO
|
||||
24 24 3182 3210 FO
|
||||
24 24 3311 3178 FO
|
||||
24 24 3439 3155 FO
|
||||
24 24 3568 3139 FO
|
||||
gr
|
||||
|
||||
gs 998 2201 2571 1201 rc
|
||||
129 -16 128 -23 129 -32 128 -41 129 -40 128 -4 129 105 128 271
|
||||
129 325 128 144 129 -144 128 -325 129 -271 128 -105 129 4 128 40
|
||||
129 41 128 32 129 23 128 16 998 3139 21 MP stroke
|
||||
gr
|
||||
|
||||
524 3082 mt -90 rotate
|
||||
(T) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 96 FMSR
|
||||
|
||||
590 3002 mt -90 rotate
|
||||
(yy) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
524 2906 mt -90 rotate
|
||||
(\(nT/m\)) s
|
||||
90 rotate
|
||||
6 w
|
||||
1 sg
|
||||
0 1200 2569 0 0 -1200 4380 3401 4 MP
|
||||
PP
|
||||
-2569 0 0 1200 2569 0 0 -1200 4380 3401 5 MP stroke
|
||||
4 w
|
||||
DO
|
||||
SO
|
||||
6 w
|
||||
0 sg
|
||||
4380 3401 mt 6949 3401 L
|
||||
4380 2201 mt 6949 2201 L
|
||||
4380 3401 mt 4380 2201 L
|
||||
6949 3401 mt 6949 2201 L
|
||||
4380 3401 mt 6949 3401 L
|
||||
4380 3401 mt 4380 2201 L
|
||||
4380 3401 mt 4380 3375 L
|
||||
4380 2201 mt 4380 2226 L
|
||||
4231 3557 mt
|
||||
(-30) s
|
||||
4808 3401 mt 4808 3375 L
|
||||
4808 2201 mt 4808 2226 L
|
||||
4659 3557 mt
|
||||
(-20) s
|
||||
5236 3401 mt 5236 3375 L
|
||||
5236 2201 mt 5236 2226 L
|
||||
5087 3557 mt
|
||||
(-10) s
|
||||
5664 3401 mt 5664 3375 L
|
||||
5664 2201 mt 5664 2226 L
|
||||
5628 3557 mt
|
||||
(0) s
|
||||
6092 3401 mt 6092 3375 L
|
||||
6092 2201 mt 6092 2226 L
|
||||
6019 3557 mt
|
||||
(10) s
|
||||
6520 3401 mt 6520 3375 L
|
||||
6520 2201 mt 6520 2226 L
|
||||
6447 3557 mt
|
||||
(20) s
|
||||
6949 3401 mt 6949 3375 L
|
||||
6949 2201 mt 6949 2226 L
|
||||
6876 3557 mt
|
||||
(30) s
|
||||
4380 3401 mt 4405 3401 L
|
||||
6949 3401 mt 6923 3401 L
|
||||
4122 3449 mt
|
||||
(-10) s
|
||||
4380 3001 mt 4405 3001 L
|
||||
6949 3001 mt 6923 3001 L
|
||||
4195 3049 mt
|
||||
(-5) s
|
||||
4380 2601 mt 4405 2601 L
|
||||
6949 2601 mt 6923 2601 L
|
||||
4272 2649 mt
|
||||
(0) s
|
||||
4380 2201 mt 4405 2201 L
|
||||
6949 2201 mt 6923 2201 L
|
||||
4272 2249 mt
|
||||
(5) s
|
||||
4380 2147 mt
|
||||
(x 10) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 88 FMSR
|
||||
|
||||
4629 2066 mt
|
||||
(-13) s
|
||||
4380 3401 mt 6949 3401 L
|
||||
4380 2201 mt 6949 2201 L
|
||||
4380 3401 mt 4380 2201 L
|
||||
6949 3401 mt 6949 2201 L
|
||||
gs 4380 2201 2570 1201 rc
|
||||
18 w
|
||||
gr
|
||||
|
||||
18 w
|
||||
gs 4312 2218 2706 863 rc
|
||||
24 24 4380 2735 FO
|
||||
24 24 4508 2286 FO
|
||||
24 24 4636 2601 FO
|
||||
24 24 4765 2787 FO
|
||||
24 24 4893 2582 FO
|
||||
24 24 5022 2586 FO
|
||||
24 24 5150 2502 FO
|
||||
24 24 5279 2752 FO
|
||||
24 24 5407 2585 FO
|
||||
24 24 5536 2568 FO
|
||||
24 24 5664 2617 FO
|
||||
24 24 5792 2568 FO
|
||||
24 24 5921 2616 FO
|
||||
24 24 6049 2752 FO
|
||||
24 24 6178 2474 FO
|
||||
24 24 6306 2658 FO
|
||||
24 24 6435 2619 FO
|
||||
24 24 6563 2738 FO
|
||||
24 24 6692 2936 FO
|
||||
24 24 6820 2638 FO
|
||||
24 24 6949 3012 FO
|
||||
gr
|
||||
|
||||
gs 4380 2201 2570 1201 rc
|
||||
gr
|
||||
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
3980 3493 mt -90 rotate
|
||||
(Relative error of T) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 96 FMSR
|
||||
|
||||
4046 2447 mt -90 rotate
|
||||
(yy) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
3980 2351 mt -90 rotate
|
||||
( \(%\)) s
|
||||
90 rotate
|
||||
6 w
|
||||
1 sg
|
||||
0 1199 2570 0 0 -1199 998 5126 4 MP
|
||||
PP
|
||||
-2570 0 0 1199 2570 0 0 -1199 998 5126 5 MP stroke
|
||||
4 w
|
||||
DO
|
||||
SO
|
||||
6 w
|
||||
0 sg
|
||||
998 5126 mt 3568 5126 L
|
||||
998 3927 mt 3568 3927 L
|
||||
998 5126 mt 998 3927 L
|
||||
3568 5126 mt 3568 3927 L
|
||||
998 5126 mt 3568 5126 L
|
||||
998 5126 mt 998 3927 L
|
||||
998 5126 mt 998 5100 L
|
||||
998 3927 mt 998 3952 L
|
||||
849 5282 mt
|
||||
(-30) s
|
||||
1426 5126 mt 1426 5100 L
|
||||
1426 3927 mt 1426 3952 L
|
||||
1277 5282 mt
|
||||
(-20) s
|
||||
1854 5126 mt 1854 5100 L
|
||||
1854 3927 mt 1854 3952 L
|
||||
1705 5282 mt
|
||||
(-10) s
|
||||
2283 5126 mt 2283 5100 L
|
||||
2283 3927 mt 2283 3952 L
|
||||
2247 5282 mt
|
||||
(0) s
|
||||
2711 5126 mt 2711 5100 L
|
||||
2711 3927 mt 2711 3952 L
|
||||
2638 5282 mt
|
||||
(10) s
|
||||
3139 5126 mt 3139 5100 L
|
||||
3139 3927 mt 3139 3952 L
|
||||
3066 5282 mt
|
||||
(20) s
|
||||
3568 5126 mt 3568 5100 L
|
||||
3568 3927 mt 3568 3952 L
|
||||
3495 5282 mt
|
||||
(30) s
|
||||
998 4926 mt 1023 4926 L
|
||||
3568 4926 mt 3542 4926 L
|
||||
593 4974 mt
|
||||
(-4000) s
|
||||
998 4526 mt 1023 4526 L
|
||||
3568 4526 mt 3542 4526 L
|
||||
593 4574 mt
|
||||
(-2000) s
|
||||
998 4126 mt 1023 4126 L
|
||||
3568 4126 mt 3542 4126 L
|
||||
890 4174 mt
|
||||
(0) s
|
||||
998 5126 mt 3568 5126 L
|
||||
998 3927 mt 3568 3927 L
|
||||
998 5126 mt 998 3927 L
|
||||
3568 5126 mt 3568 3927 L
|
||||
gs 998 3927 2571 1200 rc
|
||||
18 w
|
||||
gr
|
||||
|
||||
18 w
|
||||
gs 930 4034 2707 595 rc
|
||||
24 24 998 4118 FO
|
||||
24 24 1126 4115 FO
|
||||
24 24 1255 4110 FO
|
||||
24 24 1383 4105 FO
|
||||
24 24 1512 4102 FO
|
||||
24 24 1640 4104 FO
|
||||
24 24 1769 4129 FO
|
||||
24 24 1897 4204 FO
|
||||
24 24 2026 4343 FO
|
||||
24 24 2154 4494 FO
|
||||
24 24 2283 4560 FO
|
||||
24 24 2411 4494 FO
|
||||
24 24 2540 4343 FO
|
||||
24 24 2668 4204 FO
|
||||
24 24 2797 4129 FO
|
||||
24 24 2925 4104 FO
|
||||
24 24 3054 4102 FO
|
||||
24 24 3182 4105 FO
|
||||
24 24 3311 4110 FO
|
||||
24 24 3439 4115 FO
|
||||
24 24 3568 4118 FO
|
||||
gr
|
||||
|
||||
gs 998 3927 2571 1200 rc
|
||||
129 3 128 5 129 5 128 3 129 -2 128 -25 129 -75 128 -139
|
||||
129 -151 128 -66 129 66 128 151 129 139 128 75 129 25 128 2
|
||||
129 -3 128 -5 129 -5 128 -3 998 4118 21 MP stroke
|
||||
gr
|
||||
|
||||
2150 5434 mt
|
||||
(y\(m\)) s
|
||||
451 4807 mt -90 rotate
|
||||
(T) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 96 FMSR
|
||||
|
||||
517 4727 mt -90 rotate
|
||||
(zz) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
451 4631 mt -90 rotate
|
||||
(\(nT/m\)) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 120 FMSR
|
||||
|
||||
962 5187 mt
|
||||
( ) s
|
||||
3533 3987 mt
|
||||
( ) s
|
||||
6 w
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
1712 4783 mt
|
||||
(Our closed-form solutions) s
|
||||
gs 1201 4630 2363 381 rc
|
||||
18 w
|
||||
gs 1407 4667 137 137 rc
|
||||
24 24 1475 4735 FO
|
||||
gr
|
||||
|
||||
gr
|
||||
|
||||
18 w
|
||||
1712 4952 mt
|
||||
(Closed-form solutions for prism) s
|
||||
gs 1201 4630 2363 381 rc
|
||||
393 0 1279 4904 2 MP stroke
|
||||
6 w
|
||||
gr
|
||||
|
||||
6 w
|
||||
1 sg
|
||||
0 1199 2569 0 0 -1199 4380 5126 4 MP
|
||||
PP
|
||||
-2569 0 0 1199 2569 0 0 -1199 4380 5126 5 MP stroke
|
||||
4 w
|
||||
DO
|
||||
SO
|
||||
6 w
|
||||
0 sg
|
||||
4380 5126 mt 6949 5126 L
|
||||
4380 3927 mt 6949 3927 L
|
||||
4380 5126 mt 4380 3927 L
|
||||
6949 5126 mt 6949 3927 L
|
||||
4380 5126 mt 6949 5126 L
|
||||
4380 5126 mt 4380 3927 L
|
||||
4380 5126 mt 4380 5100 L
|
||||
4380 3927 mt 4380 3952 L
|
||||
4231 5282 mt
|
||||
(-30) s
|
||||
4808 5126 mt 4808 5100 L
|
||||
4808 3927 mt 4808 3952 L
|
||||
4659 5282 mt
|
||||
(-20) s
|
||||
5236 5126 mt 5236 5100 L
|
||||
5236 3927 mt 5236 3952 L
|
||||
5087 5282 mt
|
||||
(-10) s
|
||||
5664 5126 mt 5664 5100 L
|
||||
5664 3927 mt 5664 3952 L
|
||||
5628 5282 mt
|
||||
(0) s
|
||||
6092 5126 mt 6092 5100 L
|
||||
6092 3927 mt 6092 3952 L
|
||||
6019 5282 mt
|
||||
(10) s
|
||||
6520 5126 mt 6520 5100 L
|
||||
6520 3927 mt 6520 3952 L
|
||||
6447 5282 mt
|
||||
(20) s
|
||||
6949 5126 mt 6949 5100 L
|
||||
6949 3927 mt 6949 3952 L
|
||||
6876 5282 mt
|
||||
(30) s
|
||||
4380 5126 mt 4405 5126 L
|
||||
6949 5126 mt 6923 5126 L
|
||||
4122 5174 mt
|
||||
(-15) s
|
||||
4380 4826 mt 4405 4826 L
|
||||
6949 4826 mt 6923 4826 L
|
||||
4122 4874 mt
|
||||
(-10) s
|
||||
4380 4526 mt 4405 4526 L
|
||||
6949 4526 mt 6923 4526 L
|
||||
4195 4574 mt
|
||||
(-5) s
|
||||
4380 4226 mt 4405 4226 L
|
||||
6949 4226 mt 6923 4226 L
|
||||
4272 4274 mt
|
||||
(0) s
|
||||
4380 3927 mt 4405 3927 L
|
||||
6949 3927 mt 6923 3927 L
|
||||
4272 3975 mt
|
||||
(5) s
|
||||
4380 3873 mt
|
||||
(x 10) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 88 FMSR
|
||||
|
||||
4629 3792 mt
|
||||
(-12) s
|
||||
4380 5126 mt 6949 5126 L
|
||||
4380 3927 mt 6949 3927 L
|
||||
4380 5126 mt 4380 3927 L
|
||||
6949 5126 mt 6949 3927 L
|
||||
gs 4380 3927 2570 1200 rc
|
||||
18 w
|
||||
gr
|
||||
|
||||
18 w
|
||||
gs 4312 4021 2706 917 rc
|
||||
24 24 4380 4177 FO
|
||||
24 24 4508 4157 FO
|
||||
24 24 4636 4292 FO
|
||||
24 24 4765 4255 FO
|
||||
24 24 4893 4242 FO
|
||||
24 24 5022 4254 FO
|
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||||
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|
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||||
6949 217 mt 6923 217 L
|
||||
4272 265 mt
|
||||
(2) s
|
||||
4380 162 mt
|
||||
(x 10) s
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 88 FMSR
|
||||
|
||||
4629 81 mt
|
||||
(-11) s
|
||||
4380 2062 mt 6949 2062 L
|
||||
4380 216 mt 6949 216 L
|
||||
4380 2062 mt 4380 216 L
|
||||
6949 2062 mt 6949 216 L
|
||||
gs 4380 217 2570 1846 rc
|
||||
18 w
|
||||
gr
|
||||
|
||||
18 w
|
||||
gs 4312 398 2706 1643 rc
|
||||
24 24 4380 776 FO
|
||||
24 24 4508 503 FO
|
||||
24 24 4636 495 FO
|
||||
24 24 4765 476 FO
|
||||
24 24 4893 481 FO
|
||||
24 24 5022 481 FO
|
||||
24 24 5150 481 FO
|
||||
24 24 5279 481 FO
|
||||
24 24 5407 480 FO
|
||||
24 24 5536 480 FO
|
||||
gr
|
||||
|
||||
gs 4380 217 2570 1846 rc
|
||||
gr
|
||||
|
||||
gs 4312 398 2706 1643 rc
|
||||
24 24 5792 480 FO
|
||||
24 24 5921 481 FO
|
||||
24 24 6049 481 FO
|
||||
24 24 6178 480 FO
|
||||
24 24 6306 480 FO
|
||||
24 24 6435 478 FO
|
||||
24 24 6563 479 FO
|
||||
24 24 6692 485 FO
|
||||
24 24 6820 466 FO
|
||||
24 24 6949 1972 FO
|
||||
gr
|
||||
|
||||
gs 4380 217 2570 1846 rc
|
||||
gr
|
||||
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
3980 1831 mt -90 rotate
|
||||
(Relative error of T) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 96 FMSR
|
||||
|
||||
4046 785 mt -90 rotate
|
||||
(yz) s
|
||||
90 rotate
|
||||
%%IncludeResource: font Helvetica
|
||||
/Helvetica /ISOLatin1Encoding 132 FMSR
|
||||
|
||||
3980 689 mt -90 rotate
|
||||
( \(%\)) s
|
||||
90 rotate
|
||||
5531 2370 mt
|
||||
(y\(m\)) s
|
||||
6 w
|
||||
|
||||
end %%Color Dict
|
||||
|
||||
eplot
|
||||
%%EndObject
|
||||
|
||||
epage
|
||||
end
|
||||
|
||||
showpage
|
||||
|
||||
%%Trailer
|
||||
%%EOF
|
21
m3d/test/prism/xyz.dat
Executable file
21
m3d/test/prism/xyz.dat
Executable file
@ -0,0 +1,21 @@
|
||||
0 -30 10
|
||||
0 -27 10
|
||||
0 -24 10
|
||||
0 -21 10
|
||||
0 -18 10
|
||||
0 -15 10
|
||||
0 -12 10
|
||||
0 -9 10
|
||||
0 -6 10
|
||||
0 -3 10
|
||||
0 0 10
|
||||
0 3 10
|
||||
0 6 10
|
||||
0 9 10
|
||||
0 12 10
|
||||
0 15 10
|
||||
0 18 10
|
||||
0 21 10
|
||||
0 24 10
|
||||
0 27 10
|
||||
0 30 10
|
155
m3d/test/test_m3d.cpp
Executable file
155
m3d/test/test_m3d.cpp
Executable file
@ -0,0 +1,155 @@
|
||||
#define NDEBUG
|
||||
#include <algorithm>
|
||||
#include <omp.h>
|
||||
#include <iostream>
|
||||
#include <fstream>
|
||||
#include "grid.h"
|
||||
#include "m3d.h"
|
||||
|
||||
|
||||
//------------------read----------------------------------------------
|
||||
void read_sites(std::string site_file, std::vector<Point>& sites)
|
||||
{
|
||||
std::ifstream site_stream(site_file.c_str());
|
||||
unsigned int n_sites=0;
|
||||
site_stream >> n_sites;
|
||||
assert(n_sites>0);
|
||||
sites.clear();
|
||||
sites.resize(n_sites);
|
||||
for (unsigned int i=0; i<n_sites; i++) {
|
||||
unsigned int site_id=0;
|
||||
Point xyz;
|
||||
site_stream >> site_id
|
||||
>> xyz(0) // x-coordinate value
|
||||
>> xyz(1) // y-coordinate value
|
||||
>> xyz(2); // z-coordinate value
|
||||
sites[i]= xyz;
|
||||
}
|
||||
return;
|
||||
}
|
||||
|
||||
//------------------write----------------------------------------------
|
||||
void write_vector(std::string name, std::vector<double>& v)
|
||||
{
|
||||
// Open the of stream
|
||||
std::ofstream out(name.c_str());
|
||||
if(!out.good()) {
|
||||
std::cerr<<"Can not open file:\t"<<name
|
||||
<<std::endl;
|
||||
} else {
|
||||
for(unsigned int i=0; i<v.size(); i++)
|
||||
out<<std::setprecision(16)<<v[i]<<"\n";
|
||||
}
|
||||
out.close();
|
||||
|
||||
}
|
||||
|
||||
void write_vector(std::string name, std::vector<Point>& v)
|
||||
{
|
||||
// Open the of stream
|
||||
std::ofstream out(name.c_str());
|
||||
if(!out.good()) {
|
||||
std::cerr<<"Can not open file:\t"<<name
|
||||
<<std::endl;
|
||||
} else {
|
||||
for(unsigned int i=0; i<v.size(); i++)
|
||||
out<<std::setprecision(16)<<v[i](0)<<"\t"<<v[i](1)<<"\t"<<v[i](2)<<"\n";
|
||||
}
|
||||
out.close();
|
||||
|
||||
}
|
||||
|
||||
void write_vector(std::string name, std::vector<Point> & TBx,
|
||||
std::vector<Point> & TBy,
|
||||
std::vector<Point> & TBz)
|
||||
{
|
||||
// Open the of stream
|
||||
std::ofstream out(name.c_str());
|
||||
if(!out.good()) {
|
||||
std::cerr<<"Can not open file:\t"<<name
|
||||
<<std::endl;
|
||||
} else {
|
||||
for(unsigned int i=0; i<TBx.size(); i++) {
|
||||
out<<std::setprecision(16)<<TBx[i](0)<<"\t"<<TBx[i](1)<<"\t"<<TBx[i](2)<<"\t";
|
||||
out<<std::setprecision(16)<<TBy[i](0)<<"\t"<<TBy[i](1)<<"\t"<<TBy[i](2)<<"\t";
|
||||
out<<std::setprecision(16)<<TBz[i](0)<<"\t"<<TBz[i](1)<<"\t"<<TBz[i](2)<<"\n";
|
||||
}
|
||||
}
|
||||
out.close();
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
|
||||
//---------------------------------------------------------------------------
|
||||
int main(int argc, char *argv[])
|
||||
{
|
||||
if (argc != 4) {
|
||||
printf("Usage: %s node_file tet_file site_fie\n",argv[0]);
|
||||
return 1;
|
||||
}
|
||||
std::string node_file(argv[1]);
|
||||
std::string tet_file (argv[2]);
|
||||
std::string site_file(argv[3]);
|
||||
|
||||
// read grid
|
||||
Grid grid(node_file, tet_file);
|
||||
// read sites
|
||||
std::vector<Point> sites;
|
||||
read_sites(site_file, sites);
|
||||
write_vector("xyz.dat", sites);
|
||||
|
||||
// loop each site and tet pair
|
||||
const int n_sites = sites.size();
|
||||
std::vector<double> Vs;
|
||||
std::vector<Point> Bs;
|
||||
std::vector<Point> Tx, Ty, Tz;
|
||||
Vs.resize(n_sites);
|
||||
Bs.resize(n_sites);
|
||||
Tx.resize(n_sites);
|
||||
Ty.resize(n_sites);
|
||||
Tz.resize(n_sites);
|
||||
|
||||
// closed-form solutions
|
||||
#pragma omp parallel for
|
||||
for(int i=0; i<n_sites; i++) {
|
||||
Point& r = sites[i];
|
||||
double temp_v; Point temp_b(0,0,0); double temp_tb[3][3];
|
||||
temp_v=0;
|
||||
for(int l=0; l<3; l++)
|
||||
for(int k=0; k<3; k++)
|
||||
temp_tb[l][k]=0.;
|
||||
|
||||
for(int j=0; j<grid.n_elems(); j++) {
|
||||
Tet& tet = grid.get_elem(j);
|
||||
M3D m3d(tet, r);
|
||||
double v; Point b; double tb[3][3];
|
||||
m3d.V(v);
|
||||
m3d.B(b);
|
||||
m3d.T(tb);
|
||||
temp_v += v;
|
||||
temp_b = temp_b + b;
|
||||
for(int l=0; l<3; l++)
|
||||
for(int k=0; k<3; k++)
|
||||
temp_tb[l][k] += tb[l][k];
|
||||
}
|
||||
Vs[i] = temp_v;
|
||||
Bs[i] = temp_b*1e9;
|
||||
Tx[i]= Point(temp_tb[0][0], temp_tb[0][1], temp_tb[0][2])*1e9;
|
||||
Ty[i]= Point(temp_tb[1][0], temp_tb[1][1], temp_tb[1][2])*1e9;
|
||||
Tz[i]= Point(temp_tb[2][0], temp_tb[2][1], temp_tb[2][2])*1e9;
|
||||
} // done.
|
||||
|
||||
|
||||
write_vector("V.dat", Vs); // NA-1m-3
|
||||
write_vector("B.dat", Bs); // nT
|
||||
write_vector("T.dat", Tx, Ty, Tz); // nT/m
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
@ -1,6 +1,6 @@
|
||||
aux_source_directory(. SRC_DIR)
|
||||
|
||||
include_directories(/usr/local/include)
|
||||
include_directories(/opt/include)
|
||||
|
||||
set(EXECUTABLE_OUTPUT_PATH ${PROJECT_BINARY_DIR}/bin)
|
||||
|
||||
@ -17,4 +17,7 @@ if (OpenMP_CXX_FOUND)
|
||||
set (CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${OpenMP_CXX_FLAGS}")
|
||||
set (CMAKE_EXE_LINKER_FLAGS "${CMAKE_EXE_LINKER_FLAGS} ${OpenMP_EXE_LINKER_FLAGS}")
|
||||
target_link_libraries(magtet PUBLIC OpenMP::OpenMP_CXX)
|
||||
endif()
|
||||
endif()
|
||||
|
||||
# 将可执行程序安装到/opt/stow/yzToys
|
||||
install(TARGETS magtet RUNTIME DESTINATION bin)
|
Loading…
Reference in New Issue
Block a user