Fix warnings about RAND_MAX when using single precision.
Introduce an inline function `real_t rand_real()` that returns a
random number in the interval [0,1) using rand(). This function
handles better the case of single precision where the expression
`real_t(rand())/(real_t(RAND_MAX)+1)` can return 1.0f due to round-off
when rand() returns a number close to RAND_MAX.
Use `rand_real()` in a few places that before used code similar to
`real_t(rand())/(real_t(RAND_MAX)+1)`.
Caused since GeometryRefiner::FindInRGeom was not properly finding the cached
refined geometries for points or segments, because of an inconsistent ETimes
value.
List of changes and additions:
* In class Mesh:
* Replaced the data fields BaseGeom, BaseBdrGeom, and BaseFaceGeom
with a new data field: mesh_geoms that is a bitwise mask for all
Geometry::Types found in the (local) Mesh including entities of
lower dimensions.
* The new data field mesh_geoms is set by the method SetMeshGen.
* Removed the (protected) method InitBaseGeom.
* Add new methods: HasGeometry, GetNumGeometries, and GetGeometries
that can be used to query the content of mesh_geoms. Also, added
class Mesh::GeometryList that can simplify such queries too.
* The methods GetFaceBaseGeometry, GetElementBaseGeometry, and
GetBdrElementBaseGeometry no longer have a default value for
their input parameter (the entity index) and accept only values
within their respective ranges.
* Removed the parameter of the method GetRefinementTransforms.
* Updated the methods PrepareNodeReorder and DoNodeReorder to
support mixed meshes.
* In parallel, the data field meshgen is now required to represent
information about the global mesh - updated relevant ParMesh
methods.
* Made any required changes outside of class Mesh due to the above
changes.
* Made various tweaks and improvements in the following methods:
CheckBdrElementOrientation, Mixed2DUniformRefinement,
Mixed3DUniformRefinement, UniformRefinement, and
GeneralRefinement.
* Updated the method PrintCharacteristics to print the types of
elements, boundary elements and faces used in the mesh.
* In the method ReadInlineMesh, replace remaining "pri" strings
with "wedge".
* In the mesh reader method ReadGmshMesh, recover the term "prism"
in the comments - it was replaced, unintentionally, I assume,
by "wedge".
* Add support for refinement of curvilinear mixed meshes:
* In class FiniteElementSpace, updated the methods:
GetLocalRefinementMatrices, GetLocalDerefinementMatrices,
RefinementMatrix, RefinementMatrix_main, as well as class
RefinementOperator to support mixed meshes.
* Add two new meshes: star-mixed-p2.mesh and fichera-mixed-p2.mesh
which represent examples of quadratic mixed meshes in 2D and 3D,
respectively.
* Add sample runs in ex1/ex1p using the new quadratic mixed meshes.
* In class Geometry:
* In the enumeration Type: removed the constant MIXED and added
new constant: NUM_GEOMETRIES.
* Add new static data field: DimStart[] that indexes the Types by
dimension: the Types of dimension 'd' are given by the range
[ DimStart[d], DimStart[d+1] ).
* In class ParNCMesh, added method GetGhostFaceGeometry that,
for now, returns Geometry::SQUARE.
* Update the return type of the method DofOrderForOrientation in
class FiniteElementCollection (and all derived classes) from
'int *' to 'const int *'.
* Removed the virtual method Element::GetRefinementFlag and made
the only relevant derived version (in class Tetrahedron),
non-virtual.
* In class Tetrahedron, added method Init.
* Added FIXME comments for some outstanding issues.
* In the mesh-explorer miniapp:
* Added option to enable or disable the 'refine' parameter when
reading a mesh from file.
* In the 'jitter' menu option, ask the user if the boundary
nodes should be moved or not.
* In the 'Print sub-element stats' menu option, count and print
bad/inverted elements by their Geometry::Type as well.
* Removed the fixed low-order finite element classes for wedges.
* Replace more cases of 'int' variables with 'Geometry::Type',
mainly in class FiniteElement and its derived classes.
* Use constants from BasisType (instead of Quadrature1D) in the
parameters of the *WedgeElement finite element classes.
* Impose ordering on the construction of some global objects by
moving them into the same translation unit: specifically, moved
the objects 'TriangleFE', 'TetrahedronFE', 'WedgeFE', and
'Geometries' into fem/fe.cpp.
* In switchs on 'Geometry::Type', move the 'Geometry::PRISM' case
last - just to follow the order in the enumeration.
* Add a new method CoarseFineTransformations::GetPointMatrices
that simplifies some code that uses CoarseFineTransformations.
* Removed the 'INVALID' and 'MIXED' constants from the enum
Element::Type.
* Remove the static method Element::GeometryType.
* Tweak some doxygen comments in the classes Embedding and
CoarseFineTransformations.
* Generate an error if the method Wedge::GetNFaces is called:
its parameter 'nFaceVertices' does not make sense for wedges.
Andrew Ho