This module handles all geometry related concerns. More...

Classes
class	Bembel::Geometry
	this class wraps a GeometryVector and provides some basic functionality, like reading Geometry files More...

class	Bembel::Patch
	handles a single patch More...

Typedefs
typedef std::vector< Bembel::Patch >	Bembel::PatchVector
	typedef for PatchVector More...

typedef Eigen::Matrix< double, 12, 1 >	SurfacePoint
	typedef of SurfacePoint More...

typedef std::vector< SurfacePoint, Eigen::aligned_allocator< SurfacePoint > >	ElementSurfacePoints
	typedef std::vector<SurfacePoint> with aligned allocator of Eigen for compatibility with older compilers.

Functions
std::vector< Patch >	Bembel::LoadGeometryFileIGS (const std::string &file_name) noexcept
	loads geometry from IGES file. Note that the direction of the normals must be consistent. More...

void	Bembel::writeSection (std::string file_name, const std::vector< std::string > &section, const char section_char)
	This function writes a given section to the specified file. More...

int	Bembel::writeParameterSection (std::string file_name, const std::vector< std::string > &section, const int patch_idx, const int start_count)
	This function writes a the parameter section of the IGES file. More...

std::vector< std::string >	Bembel::makeSection (std::vector< std::string > data, const int linewidth=72)
	Transform a vector of Data in a vector of lines with a specific length. More...

void	Bembel::writeIGSHeader (std::string file_name)
	Write the IGES header into the given file. More...

int	Bembel::writeGlobalSection (std::string file_name)
	Write the IGES Global section into the given file. More...

int	Bembel::writeDirectory (std::string file_name, std::vector< int > start_idx, std::vector< int > number_of_lines)
	Write the IGES Directory section into the given file. More...

std::vector< std::string >	Bembel::writePatchData (const Patch &patch, const int precision)
	This Function writes the patch from Bembel into a vector which can be written into an IGES file. More...

void	Bembel::writeIGSFile (const std::vector< Patch > &geometry, std::string file_name, const int precision=6)
	Writes Geometry into an IGES file format. More...

std::vector< Patch >	Bembel::LoadGeometryFileDAT (const std::string &file_name) noexcept
	loads geometry from file with GEOPDE-format. Note that the direction of the normals must be consistent More...

void	Bembel::WriteDATFile (const std::vector< Patch > &Geometry, const std::string &file_name)
	exports a geometry from Bembel to a .dat file. More...

Detailed Description

This module handles all geometry related concerns.

The Geometry class is the interface between geometry description and the remainder of the code. We provide an implementation of NURBS discretized patches via the Patch class, but the code is easily extensible to other parametric descriptions mapping from [0,1]2 to parts of the geometry, as long as the corresponding methods for point evaluation and evaluation of the point wise Jacobian are implemented.

Typedef Documentation

◆ PatchVector

typedef std::vector<Bembel::Patch> Bembel::PatchVector

typedef for PatchVector

This is the default geometry format. If custom parametric mappings were to be implemented, one would need to change Bembel::Patch here to the new format, and the new format must provide an eval(), evalNorma(), evalJacobian() and updateSurfacePoint() method.

Definition at line 24 of file PatchVector.hpp.

◆ SurfacePoint

typedef Eigen::Matrix<double, 12, 1> SurfacePoint

typedef of SurfacePoint

This typedef is essential for any evaluation of a bilinear form. It provides all required geometry information, stored as follows: (0) x-coordinate of the evaluation point in the parameter domain [0,1]^2 of the current element, i.e we map [0,1]^2->element->surface (1) y-coordinate of the evaluation point in the parameter domain [0,1]^2 of the current element, i.e we map [0,1]^2->element->surface (2) a quadrature weight. Can be left empty if not used as part of a quadrature. (3) x-coordinate of patch eval in space (4) y-coordinate of patch eval in space (5) z-coordinate of patch eval in space (6) x-component of derivative in x-dir (7) y-component of derivative in x-dir (8) z-component of derivative in x-dir (9) x-component of derivative in y-dir (10) y-component of derivative in y-dir (11) z-component of derivative in y-dir For application of the pull-back to the reference domain, one requires the jacobian of any point on the surface. Calling eval and evalJacobian of the Patch class introduces work that needs to be done twice. The updateSurdacePoint method is specialized and should be used, since it avoids redundant work.

Definition at line 42 of file SurfacePoint.hpp.

Function Documentation

◆ LoadGeometryFileDAT()

std::vector<Patch> Bembel::LoadGeometryFileDAT ( const std::string & file_name )

inlinenoexcept

loads geometry from file with GEOPDE-format. Note that the direction of the normals must be consistent

Parameters

file_name path/filename pointing to the geometry file

Returns: std::vector of NURBS::Patch describing geometry

Definition at line 25 of file GeometryIO.hpp.

◆ LoadGeometryFileIGS()

std::vector<Patch> Bembel::LoadGeometryFileIGS ( const std::string & file_name )

noexcept

loads geometry from IGES file. Note that the direction of the normals must be consistent.

Parameters

file_name path/filename pointing to the geometry file

Returns: std::vector of NURBS::Patch describing geometry

Definition at line 25 of file GeometryIGS.hpp.

◆ makeSection()

std::vector<std::string> Bembel::makeSection	(	std::vector< std::string >	data,
		const int	linewidth = `72`
	)

Transform a vector of Data in a vector of lines with a specific length.

Parameters

data	vector containing the entries written to the section
linewidth	Maximum length of the lines

Returns: Vector with strings of each line.

Definition at line 205 of file GeometryIGS.hpp.

◆ WriteDATFile()

void Bembel::WriteDATFile	(	const std::vector< Patch > &	Geometry,
		const std::string &	file_name
	)

exports a geometry from Bembel to a .dat file.

Limitation: This functions assumes a p-open knot vector without internal knots.

Parameters

Geometry	std::vector of NURBS::Patch describing geometry
file_name	path/filename to be written to

Definition at line 204 of file GeometryIO.hpp.

◆ writeDirectory()

int Bembel::writeDirectory	(	std::string	file_name,
		std::vector< int >	start_idx,
		std::vector< int >	number_of_lines
	)

Write the IGES Directory section into the given file.

Parameters

file_name	File name to write the section in.
start_idx	Vector containing the start lines of the sections.
number_of_lines	Vector containing the lengths of the sections.

Returns: Number of lines of this section.

Definition at line 336 of file GeometryIGS.hpp.

◆ writeGlobalSection()

int Bembel::writeGlobalSection ( std::string file_name )

Write the IGES Global section into the given file.

Parameters

file_name File name to write the section in.

Returns: Number of lines of this section.

Definition at line 265 of file GeometryIGS.hpp.

◆ writeIGSFile()

void Bembel::writeIGSFile	(	const std::vector< Patch > &	geometry,
		std::string	file_name,
		const int	precision = `6`
	)

Writes Geometry into an IGES file format.

Parameters

geometry	PatchVector which is written to the file.
file_name	File name to write to.
precision	Significant number of digits for writing floats.

Definition at line 481 of file GeometryIGS.hpp.

◆ writeIGSHeader()

void Bembel::writeIGSHeader ( std::string file_name )

Write the IGES header into the given file.

Parameters

file_name File name to write the header in.

Definition at line 236 of file GeometryIGS.hpp.

◆ writeParameterSection()

int Bembel::writeParameterSection	(	std::string	file_name,
		const std::vector< std::string > &	section,
		const int	patch_idx,
		const int	start_count
	)

This function writes a the parameter section of the IGES file.

Parameters

file_name	path/filename pointing to the geometry file
section	vector containing the lines to be written to the file
patch_idx	index counting in uneven number
start_count	Start counting the lines with this index

Returns: Last index of the line

Definition at line 181 of file GeometryIGS.hpp.

◆ writePatchData()

std::vector<std::string> Bembel::writePatchData	(	const Patch &	patch,
		const int	precision
	)

This Function writes the patch from Bembel into a vector which can be written into an IGES file.

This function assumes that the patch knot vectors do not contains internal nodes.

Parameters

patch	Bembel patch containing all information
precision	Number of significant digits to save floats

Returns: Vector with patch data in IGES format.

Definition at line 385 of file GeometryIGS.hpp.

◆ writeSection()

void Bembel::writeSection	(	std::string	file_name,
		const std::vector< std::string > &	section,
		const char	section_char
	)

This function writes a given section to the specified file.

Parameters

file_name	path/filename pointing to the geometry file
section	vector containing the lines to be written to the file
section_char	char to describe the section. Use 'S', 'G' or 'D'

Definition at line 158 of file GeometryIGS.hpp.

Classes

Typedefs

Functions

Detailed Description

Typedef Documentation

◆ PatchVector

◆ SurfacePoint

Function Documentation

◆ LoadGeometryFileDAT()

◆ LoadGeometryFileIGS()

◆ makeSection()

◆ WriteDATFile()

◆ writeDirectory()

◆ writeGlobalSection()

◆ writeIGSFile()

◆ writeIGSHeader()

◆ writeParameterSection()

◆ writePatchData()

◆ writeSection()