/usr/include/dune/grid/io/file/gmshreader.hh is in libdune-grid-dev 2.3.1-1.
This file is owned by root:root, with mode 0o644.
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// vi: set et ts=4 sw=2 sts=2:
#ifndef DUNE_GMSHREADER_HH
#define DUNE_GMSHREADER_HH
#include <cstdarg>
#include <cstdio>
#include <cstring>
#include <fstream>
#include <iostream>
#include <map>
#include <string>
#include <vector>
#include <stdio.h>
#include <dune/common/exceptions.hh>
#include <dune/common/fvector.hh>
#include <dune/geometry/type.hh>
#include <dune/grid/common/boundarysegment.hh>
#include <dune/grid/common/gridfactory.hh>
namespace Dune
{
/**
\ingroup Gmsh
\{
*/
//! Options for read operation
struct GmshReaderOptions
{
enum GeometryOrder {
/** @brief edges are straight lines. */
firstOrder,
/** @brief quadratic boundary approximation. */
secondOrder
};
};
namespace {
// arbitrary dimension, implementation is in specialization
template< int dimension, int dimWorld = dimension >
class GmshReaderQuadraticBoundarySegment
{};
// quadratic boundary segments in 1d
/*
Note the points
(0) (alpha) (1)
are mapped to the points in global coordinates
p0 p2 p1
alpha is determined automatically from the given points.
*/
template< int dimWorld >
struct GmshReaderQuadraticBoundarySegment< 2, dimWorld >
: public Dune::BoundarySegment< 2, dimWorld >
{
typedef Dune::FieldVector< double, dimWorld > GlobalVector;
GmshReaderQuadraticBoundarySegment ( const GlobalVector &p0_, const GlobalVector &p1_, const GlobalVector &p2_)
: p0(p0_), p1(p1_), p2(p2_)
{
GlobalVector d1 = p1;
d1 -= p0;
GlobalVector d2 = p2;
d2 -= p1;
alpha=d1.two_norm()/(d1.two_norm()+d2.two_norm());
if (alpha<1E-6 || alpha>1-1E-6)
DUNE_THROW(Dune::IOError, "ration in quadratic boundary segment bad");
}
virtual GlobalVector operator() ( const Dune::FieldVector<double,1> &local ) const
{
GlobalVector y;
y = 0.0;
y.axpy((local[0]-alpha)*(local[0]-1.0)/alpha,p0);
y.axpy(local[0]*(local[0]-1.0)/(alpha*(alpha-1.0)),p1);
y.axpy(local[0]*(local[0]-alpha)/(1.0-alpha),p2);
return y;
}
private:
GlobalVector p0,p1,p2;
double alpha;
};
// quadratic boundary segments in 2d
/* numbering of points corresponding to gmsh:
2
5 4
0 3 1
Note: The vertices 3, 4, 5 are not necessarily at the edge midpoints but can
be placed with parameters alpha, beta , gamma at the following positions
in local coordinates:
2 = (0,1)
5 = (0,beta) 4 = (1-gamma/sqrt(2),gamma/sqrt(2))
0 = (0,0) 3 = (alpha,0) 1 = (1,0)
The parameters alpha, beta, gamma are determined from the given vertices in
global coordinates.
*/
template<>
class GmshReaderQuadraticBoundarySegment< 3, 3 >
: public Dune::BoundarySegment< 3 >
{
public:
GmshReaderQuadraticBoundarySegment (Dune::FieldVector<double,3> p0_, Dune::FieldVector<double,3> p1_,
Dune::FieldVector<double,3> p2_, Dune::FieldVector<double,3> p3_,
Dune::FieldVector<double,3> p4_, Dune::FieldVector<double,3> p5_)
: p0(p0_), p1(p1_), p2(p2_), p3(p3_), p4(p4_), p5(p5_)
{
sqrt2 = sqrt(2.0);
Dune::FieldVector<double,3> d1,d2;
d1 = p3; d1 -= p0;
d2 = p1; d2 -= p3;
alpha=d1.two_norm()/(d1.two_norm()+d2.two_norm());
if (alpha<1E-6 || alpha>1-1E-6)
DUNE_THROW(Dune::IOError, "alpha in quadratic boundary segment bad");
d1 = p5; d1 -= p0;
d2 = p2; d2 -= p5;
beta=d1.two_norm()/(d1.two_norm()+d2.two_norm());
if (beta<1E-6 || beta>1-1E-6)
DUNE_THROW(Dune::IOError, "beta in quadratic boundary segment bad");
d1 = p4; d1 -= p1;
d2 = p2; d2 -= p4;
gamma=sqrt2*(d1.two_norm()/(d1.two_norm()+d2.two_norm()));
if (gamma<1E-6 || gamma>1-1E-6)
DUNE_THROW(Dune::IOError, "gamma in quadratic boundary segment bad");
}
virtual Dune::FieldVector<double,3> operator() (const Dune::FieldVector<double,2>& local) const
{
Dune::FieldVector<double,3> y;
y = 0.0;
y.axpy(phi0(local),p0);
y.axpy(phi1(local),p1);
y.axpy(phi2(local),p2);
y.axpy(phi3(local),p3);
y.axpy(phi4(local),p4);
y.axpy(phi5(local),p5);
return y;
}
private:
// The six Lagrange basis function on the reference element
// for the points given above
double phi0 (const Dune::FieldVector<double,2>& local) const
{
return (alpha*beta-beta*local[0]-alpha*local[1])*(1-local[0]-local[1])/(alpha*beta);
}
double phi3 (const Dune::FieldVector<double,2>& local) const
{
return local[0]*(1-local[0]-local[1])/(alpha*(1-alpha));
}
double phi1 (const Dune::FieldVector<double,2>& local) const
{
return local[0]*(gamma*local[0]-(sqrt2-gamma-sqrt2*alpha)*local[1]-alpha*gamma)/(gamma*(1-alpha));
}
double phi5 (const Dune::FieldVector<double,2>& local) const
{
return local[1]*(1-local[0]-local[1])/(beta*(1-beta));
}
double phi4 (const Dune::FieldVector<double,2>& local) const
{
return local[0]*local[1]/((1-gamma/sqrt2)*gamma/sqrt2);
}
double phi2 (const Dune::FieldVector<double,2>& local) const
{
return local[1]*(beta*(1-gamma/sqrt2)-local[0]*(beta-gamma/sqrt2)-local[1]*(1-gamma/sqrt2))/((1-gamma/sqrt2)*(beta-1));
}
Dune::FieldVector<double,3> p0,p1,p2,p3,p4,p5;
double alpha,beta,gamma,sqrt2;
};
} // end empty namespace
//! dimension independent parts for GmshReaderParser
template<typename GridType>
class GmshReaderParser
{
protected:
// private data
Dune::GridFactory<GridType>& factory;
bool verbose;
bool insert_boundary_segments;
unsigned int number_of_real_vertices;
int boundary_element_count;
int element_count;
// read buffer
char buf[512];
std::string fileName;
// exported data
std::vector<int> boundary_id_to_physical_entity;
std::vector<int> element_index_to_physical_entity;
// static data
static const int dim = GridType::dimension;
static const int dimWorld = GridType::dimensionworld;
dune_static_assert( (dimWorld <= 3), "GmshReader requires dimWorld <= 3." );
// typedefs
typedef FieldVector< double, dimWorld > GlobalVector;
// don't use something like
// readfile(file, 1, "%s\n", buf);
// to skip the rest of of the line -- that will only skip the next
// whitespace-separated word! Use skipline() instead.
void readfile(FILE * file, int cnt, const char * format,
void* t1, void* t2 = 0, void* t3 = 0, void* t4 = 0,
void* t5 = 0, void* t6 = 0, void* t7 = 0, void* t8 = 0,
void* t9 = 0, void* t10 = 0)
{
off_t pos = ftello(file);
int c = fscanf(file, format, t1, t2, t3, t4, t5, t6, t7, t8, t9, t10);
if (c != cnt)
DUNE_THROW(Dune::IOError, "Error parsing " << fileName << " "
"file pos " << pos
<< ": Expected '" << format << "', only read " << c << " entries instead of " << cnt << ".");
}
// skip over the rest of the line, including the terminating newline
void skipline(FILE * file)
{
int c;
do {
c = std::fgetc(file);
} while(c != '\n' && c != EOF);
}
public:
GmshReaderParser(Dune::GridFactory<GridType>& _factory, bool v, bool i) :
factory(_factory), verbose(v), insert_boundary_segments(i) {}
std::vector<int> & boundaryIdMap()
{
return boundary_id_to_physical_entity;
}
std::vector<int> & elementIndexMap()
{
return element_index_to_physical_entity;
}
void read (const std::string& f)
{
if (verbose) std::cout << "Reading " << dim << "d Gmsh grid..." << std::endl;
// open file name, we use C I/O
fileName = f;
FILE* file = fopen(fileName.c_str(),"r");
if (file==0)
DUNE_THROW(Dune::IOError, "Could not open " << fileName);
//=========================================
// Header: Read vertices into vector
// Check vertices that are needed
//=========================================
number_of_real_vertices = 0;
boundary_element_count = 0;
element_count = 0;
// process header
double version_number;
int file_type, data_size;
readfile(file,1,"%s\n",buf);
if (strcmp(buf,"$MeshFormat")!=0)
DUNE_THROW(Dune::IOError, "expected $MeshFormat in first line");
readfile(file,3,"%lg %d %d\n",&version_number,&file_type,&data_size);
if( (version_number < 2.0) || (version_number > 2.2) )
DUNE_THROW(Dune::IOError, "can only read Gmsh version 2 files");
if (verbose) std::cout << "version " << version_number << " Gmsh file detected" << std::endl;
readfile(file,1,"%s\n",buf);
if (strcmp(buf,"$EndMeshFormat")!=0)
DUNE_THROW(Dune::IOError, "expected $EndMeshFormat");
// node section
int number_of_nodes;
readfile(file,1,"%s\n",buf);
if (strcmp(buf,"$Nodes")!=0)
DUNE_THROW(Dune::IOError, "expected $Nodes");
readfile(file,1,"%d\n",&number_of_nodes);
if (verbose) std::cout << "file contains " << number_of_nodes << " nodes" << std::endl;
// read nodes
std::vector< GlobalVector > nodes( number_of_nodes+1 ); // store positions
{
int id;
double x[ 3 ];
for( int i = 1; i <= number_of_nodes; ++i )
{
readfile(file,4, "%d %lg %lg %lg\n", &id, &x[ 0 ], &x[ 1 ], &x[ 2 ] );
if( id != i )
DUNE_THROW( Dune::IOError, "Expected id " << i << "(got id " << id << "." );
// just store node position
for( int j = 0; j < dimWorld; ++j )
nodes[ i ][ j ] = x[ j ];
}
readfile(file,1,"%s\n",buf);
if (strcmp(buf,"$EndNodes")!=0)
DUNE_THROW(Dune::IOError, "expected $EndNodes");
}
// element section
readfile(file,1,"%s\n",buf);
if (strcmp(buf,"$Elements")!=0)
DUNE_THROW(Dune::IOError, "expected $Elements");
int number_of_elements;
readfile(file,1,"%d\n",&number_of_elements);
if (verbose) std::cout << "file contains " << number_of_elements << " elements" << std::endl;
//=========================================
// Pass 1: Renumber needed vertices
//=========================================
long section_element_offset = ftell(file);
std::map<int,unsigned int> renumber;
for (int i=1; i<=number_of_elements; i++)
{
int id, elm_type, number_of_tags;
readfile(file,3,"%d %d %d ",&id,&elm_type,&number_of_tags);
for (int k=1; k<=number_of_tags; k++)
{
int blub;
readfile(file,1,"%d ",&blub);
// k == 1: physical entity (not used here)
// k == 2: elementary entity (not used here either)
// if version_number < 2.2:
// k == 3: mesh partition 0
// else
// k == 3: number of mesh partitions
// k => 4: mesh partition k-4
}
pass1HandleElement(file, elm_type, renumber, nodes);
}
if (verbose) std::cout << "number of real vertices = " << number_of_real_vertices << std::endl;
if (verbose) std::cout << "number of boundary elements = " << boundary_element_count << std::endl;
if (verbose) std::cout << "number of elements = " << element_count << std::endl;
readfile(file,1,"%s\n",buf);
if (strcmp(buf,"$EndElements")!=0)
DUNE_THROW(Dune::IOError, "expected $EndElements");
boundary_id_to_physical_entity.resize(boundary_element_count);
element_index_to_physical_entity.resize(element_count);
//==============================================
// Pass 2: Insert boundary segments and elements
//==============================================
fseek(file, section_element_offset, SEEK_SET);
boundary_element_count = 0;
element_count = 0;
for (int i=1; i<=number_of_elements; i++)
{
int id, elm_type, number_of_tags;
readfile(file,3,"%d %d %d ",&id,&elm_type,&number_of_tags);
int physical_entity = -1;
std::vector<int> mesh_partitions;
if ( version_number < 2.2 )
{
mesh_partitions.resize(1);
}
for (int k=1; k<=number_of_tags; k++)
{
int blub;
readfile(file,1,"%d ",&blub);
if (k==1) physical_entity = blub;
// k == 2: elementary entity (not used here)
if ( version_number < 2.2 )
{
if (k==3) mesh_partitions[0] = blub;
}
else
{
if (k > 3)
mesh_partitions[k-4] = blub;
else
mesh_partitions.resize(blub);
}
}
pass2HandleElement(file, elm_type, renumber, nodes, physical_entity);
}
readfile(file,1,"%s\n",buf);
if (strcmp(buf,"$EndElements")!=0)
DUNE_THROW(Dune::IOError, "expected $EndElements");
fclose(file);
}
// dimension dependent routines
void pass1HandleElement(FILE* file, const int elm_type,
std::map<int,unsigned int> & renumber,
const std::vector< GlobalVector > & nodes)
{
// some data about gmsh elements
const int nDofs[12] = {-1, 2, 3, 4, 4, 8, 6, 5, 3, 6, -1, 10};
const int nVertices[12] = {-1, 2, 3, 4, 4, 8, 6, 5, 2, 3, -1, 4};
const int elementDim[12] = {-1, 1, 2, 2, 3, 3, 3, 3, 1, 2, -1, 3};
// test whether we support the element type
if ( not (elm_type >= 0 && elm_type < 12 // index in suitable range?
&& (elementDim[elm_type] == dim || elementDim[elm_type] == (dim-1) ) ) ) // real element or boundary element?
{
skipline(file); // skip rest of line if element is unknown
return;
}
// The format string for parsing is n times '%d' in a row
std::string formatString = "%d";
for (int i=1; i<nDofs[elm_type]; i++)
formatString += " %d";
formatString += "\n";
// '10' is the largest number of dofs we may encounter in a .msh file
std::vector<int> elementDofs(10);
readfile(file,nDofs[elm_type], formatString.c_str(),
&(elementDofs[0]),&(elementDofs[1]),&(elementDofs[2]),
&(elementDofs[3]),&(elementDofs[4]),&(elementDofs[5]),
&(elementDofs[6]),&(elementDofs[7]),&(elementDofs[8]),
&(elementDofs[9]));
// insert each vertex if it hasn't been inserted already
for (int i=0; i<nVertices[elm_type]; i++)
if (renumber.find(elementDofs[i])==renumber.end())
{
renumber[elementDofs[i]] = number_of_real_vertices++;
factory.insertVertex(nodes[elementDofs[i]]);
}
// count elements and boundary elements
if (elementDim[elm_type] == dim)
element_count++;
else
boundary_element_count++;
}
// generic-case: This is not supposed to be used at runtime.
template <class E, class V, class V2>
void boundarysegment_insert(
const V& nodes,
const E& elementDofs,
const V2& vertices
)
{
DUNE_THROW(Dune::IOError, "tried to create a 3D boundary segment in a non-3D Grid");
}
// 3d-case:
template <class E, class V>
void boundarysegment_insert(
const std::vector<FieldVector<double, 3> >& nodes,
const E& elementDofs,
const V& vertices
)
{
array<FieldVector<double,dimWorld>, 6> v;
for (int i=0; i<6; i++)
for (int j=0; j<dimWorld; j++)
v[i][j] = nodes[elementDofs[i]][j];
BoundarySegment<dim,dimWorld>* newBoundarySegment
= (BoundarySegment<dim,dimWorld>*) new GmshReaderQuadraticBoundarySegment< 3, 3 >( v[0], v[1], v[2],
v[3], v[4], v[5] );
factory.insertBoundarySegment( vertices,
shared_ptr<BoundarySegment<dim,dimWorld> >(newBoundarySegment) );
}
virtual void pass2HandleElement(FILE* file, const int elm_type,
std::map<int,unsigned int> & renumber,
const std::vector< GlobalVector > & nodes,
const int physical_entity)
{
// some data about gmsh elements
const int nDofs[12] = {-1, 2, 3, 4, 4, 8, 6, 5, 3, 6, -1, 10};
const int nVertices[12] = {-1, 2, 3, 4, 4, 8, 6, 5, 2, 3, -1, 4};
const int elementDim[12] = {-1, 1, 2, 2, 3, 3, 3, 3, 1, 2, -1, 3};
// test whether we support the element type
if ( not (elm_type >= 0 && elm_type < 12 // index in suitable range?
&& (elementDim[elm_type] == dim || elementDim[elm_type] == (dim-1) ) ) ) // real element or boundary element?
{
skipline(file); // skip rest of line if element is unknown
return;
}
// The format string for parsing is n times '%d' in a row
std::string formatString = "%d";
for (int i=1; i<nDofs[elm_type]; i++)
formatString += " %d";
formatString += "\n";
// '10' is the largest number of dofs we may encounter in a .msh file
std::vector<int> elementDofs(10);
readfile(file,nDofs[elm_type], formatString.c_str(),
&(elementDofs[0]),&(elementDofs[1]),&(elementDofs[2]),
&(elementDofs[3]),&(elementDofs[4]),&(elementDofs[5]),
&(elementDofs[6]),&(elementDofs[7]),&(elementDofs[8]),
&(elementDofs[9]));
// correct differences between gmsh and Dune in the local vertex numbering
switch (elm_type)
{
case 3 : // 4-node quadrilateral
std::swap(elementDofs[2],elementDofs[3]);
break;
case 5 : // 8-node hexahedron
std::swap(elementDofs[2],elementDofs[3]);
std::swap(elementDofs[6],elementDofs[7]);
break;
case 7 : // 5-node pyramid
std::swap(elementDofs[2],elementDofs[3]);
break;
}
// renumber corners to account for the explicitly given vertex
// numbering in the file
std::vector<unsigned int> vertices(nVertices[elm_type]);
for (int i=0; i<nVertices[elm_type]; i++)
vertices[i] = renumber[elementDofs[i]];
// If it is an element, insert it as such
if (elementDim[elm_type] == dim) {
switch (elm_type)
{
case 1 : // 2-node line
factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,dim),vertices);
break;
case 2 : // 3-node triangle
factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,dim),vertices);
break;
case 3 : // 4-node quadrilateral
factory.insertElement(Dune::GeometryType(Dune::GeometryType::cube,dim),vertices);
break;
case 4 : // 4-node tetrahedron
factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,dim),vertices);
break;
case 5 : // 8-node hexahedron
factory.insertElement(Dune::GeometryType(Dune::GeometryType::cube,dim),vertices);
break;
case 6 : // 6-node prism
factory.insertElement(Dune::GeometryType(Dune::GeometryType::prism,dim),vertices);
break;
case 7 : // 5-node pyramid
factory.insertElement(Dune::GeometryType(Dune::GeometryType::pyramid,dim),vertices);
break;
case 9 : // 6-node triangle
factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,dim),vertices);
break;
case 11 : // 10-node tetrahedron
factory.insertElement(Dune::GeometryType(Dune::GeometryType::simplex,dim),vertices);
break;
}
} else {
// it must be a boundary segment then
if (insert_boundary_segments) {
switch (elm_type)
{
case 1 : // 2-node line
factory.insertBoundarySegment(vertices);
break;
case 2 : // 3-node triangle
factory.insertBoundarySegment(vertices);
break;
case 8 : { // 3-node line
array<FieldVector<double,dimWorld>, 3> v;
for (int i=0; i<dimWorld; i++) {
v[0][i] = nodes[elementDofs[0]][i];
v[1][i] = nodes[elementDofs[2]][i]; // yes, the renumbering is intended!
v[2][i] = nodes[elementDofs[1]][i];
}
BoundarySegment<dim,dimWorld>* newBoundarySegment
= (BoundarySegment<dim,dimWorld>*) new GmshReaderQuadraticBoundarySegment< 2, dimWorld >(v[0], v[1], v[2]);
factory.insertBoundarySegment(vertices,
shared_ptr<BoundarySegment<dim,dimWorld> >(newBoundarySegment));
break;
}
case 9 : { // 6-node triangle
boundarysegment_insert(nodes, elementDofs, vertices);
break;
}
}
}
}
// count elements and boundary elements
if (elementDim[elm_type] == dim) {
element_index_to_physical_entity[element_count] = physical_entity;
element_count++;
} else {
boundary_id_to_physical_entity[boundary_element_count] = physical_entity;
boundary_element_count++;
}
}
};
/**
\ingroup Gmsh
\brief Read Gmsh mesh file
Read a .msh file generated using Gmsh and construct a grid using the grid factory interface.
The file format used by gmsh can hold grids that are more general than the simplex grids that
the gmsh grid generator is able to construct. We try to read as many grids as possible, as
long as they are valid files. You can test this by checking whether gmsh will load the file
and display its content.
All grids in a gmsh file live in three-dimensional Euclidean space. If the world dimension
of the grid type that you are reading the file into is less than three, the remaining coordinates
are simply ignored.
*/
template<typename GridType>
class GmshReader
{
public:
typedef GridType Grid;
/** \todo doc me */
static Grid* read (const std::string& fileName, bool verbose = true, bool insert_boundary_segments=true)
{
// make a grid factory
Dune::GridFactory<Grid> factory;
// create parse object
GmshReaderParser<Grid> parser(factory,verbose,insert_boundary_segments);
parser.read(fileName);
return factory.createGrid();
}
/** \todo doc me */
static Grid* read (const std::string& fileName,
std::vector<int>& boundary_id_to_physical_entity,
std::vector<int>& element_index_to_physical_entity,
bool verbose = true, bool insert_boundary_segments=true)
{
// make a grid factory
Dune::GridFactory<Grid> factory;
// create parse object
GmshReaderParser<Grid> parser(factory,verbose,insert_boundary_segments);
parser.read(fileName);
boundary_id_to_physical_entity.swap(parser.boundaryIdMap());
element_index_to_physical_entity.swap(parser.elementIndexMap());
return factory.createGrid();
}
/** \todo doc me */
static void read (Dune::GridFactory<Grid>& factory, const std::string& fileName,
bool verbose = true, bool insert_boundary_segments=true)
{
// create parse object
GmshReaderParser<Grid> parser(factory,verbose,insert_boundary_segments);
parser.read(fileName);
}
/** \todo doc me */
static void read (Dune::GridFactory<Grid>& factory,
const std::string& fileName,
std::vector<int>& boundary_id_to_physical_entity,
std::vector<int>& element_index_to_physical_entity,
bool verbose = true, bool insert_boundary_segments=true)
{
// create parse object
GmshReaderParser<Grid> parser(factory,verbose,insert_boundary_segments);
parser.read(fileName);
boundary_id_to_physical_entity.swap(parser.boundaryIdMap());
element_index_to_physical_entity.swap(parser.elementIndexMap());
}
};
/** \} */
} // namespace Dune
#endif
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