Reference documentation for deal.II version Git 091d4db 20180424 17:37:29 0600

Classes  
struct  NumberTraits 
struct  NumberTraits< std::complex< number > > 
Functions  
bool  is_nan (const double x) 
bool  is_finite (const double x) 
bool  is_finite (const std::complex< double > &x) 
bool  is_finite (const std::complex< float > &x) 
bool  is_finite (const std::complex< long double > &x) 
template<class T >  
T  signaling_nan () 
Variables  
static const double  E = 2.7182818284590452354 
static const double  LOG2E = 1.4426950408889634074 
static const double  LOG10E = 0.43429448190325182765 
static const double  LN2 = 0.69314718055994530942 
static const double  LN10 = 2.30258509299404568402 
static const double  PI = 3.14159265358979323846 
static const double  PI_2 = 1.57079632679489661923 
static const double  PI_4 = 0.78539816339744830962 
static const double  SQRT2 = 1.41421356237309504880 
static const double  SQRT1_2 = 0.70710678118654752440 
static const unsigned int  invalid_unsigned_int = static_cast<unsigned int> (1) 
const types::global_dof_index  invalid_size_type = static_cast<types::global_dof_index> (1) 
const types::global_dof_index  invalid_dof_index = static_cast<types::global_dof_index>(1) 
const types::material_id  invalid_material_id = static_cast<types::material_id>(1) 
const types::boundary_id  invalid_boundary_id = static_cast<types::boundary_id>(1) 
const types::boundary_id  internal_face_boundary_id = static_cast<types::boundary_id>(1) 
const types::manifold_id  invalid_manifold_id = static_cast<types::manifold_id>(1) 
const types::manifold_id  flat_manifold_id = static_cast<types::manifold_id>(1) 
const types::subdomain_id  invalid_subdomain_id = static_cast<types::subdomain_id>(1) 
const types::subdomain_id  artificial_subdomain_id = static_cast<types::subdomain_id>(2) 
Namespace for the declaration of universal constants. Since the availability in math.h
is not always guaranteed, we put them here. Since this file is included by base/config.h
, they are available to the whole library.
The constants defined here are a subset of the M_XXX
constants sometimes declared in the system include file math.h
, but without the prefix M_
.
In addition to that, we declare invalid_unsigned_int
to be the largest unsigned integer representable; this value is widely used in the library as a marker for an invalid index, an invalid size of an array, and similar purposes.

inline 
Check whether a value is not a number.
This function uses either std::isnan
, isnan
, or _isnan
, whichever is available on the system and returns the result.
If none of the functions detecting NaN is available, this function returns false.
std::isnan
.

inline 
Return true
if the given value is a finite floating point number, i.e. is neither plus or minus infinity nor NaN (not a number).
Note that the argument type of this function is double
. In other words, if you give a very large number of type long double
, this function may return false
even if the number is finite with respect to type long double
.

inline 

inline 

inline 
T numbers::signaling_nan  (  ) 
Provide an object of type T
filled with a signaling NaN that will cause an exception when used in a computation. The content of these objects is a "signaling NaN" ("NaN" stands for "not a number", and "signaling" implies that at least on platforms where this is supported, any arithmetic operation using them terminates the program). The purpose of such objects is to use them as markers for uninitialized objects and arrays that are required to be filled in other places, and to trigger an error when this later initialization does not happen before the first use.
T  The type of the returned invalid object. This type can either be a scalar, or of type Tensor, SymmetricTensor, or DerivativeForm. Other types may be supported if there is a corresponding specialization of the internal::SignalingNaN::NaNInitializer class for this type. 
T
is not used as a function argument, the compiler cannot deduce it from the type of arguments. Consequently, you have to provide it explicitly. For example, the line Definition at line 219 of file signaling_nan.h.

static 

static 

static 

static 

static 

static 

static 

static 

static 

static 
const types::global_dof_index numbers::invalid_size_type = static_cast<types::global_dof_index> (1) 
Representation of the largest number that can be put into a size_type. This value is used throughout the library as a marker for an invalid size_type value, such as an invalid array index, an invalid array size, and the like. Invalid_size_type is equivalent to invalid_dof_index.
const types::global_dof_index numbers::invalid_dof_index = static_cast<types::global_dof_index>(1) 
const types::material_id numbers::invalid_material_id = static_cast<types::material_id>(1) 
const types::boundary_id numbers::invalid_boundary_id = static_cast<types::boundary_id>(1) 
Invalid boundary_id which we need in several places as a default value. We assume that all valid boundary_ids lie in the range [0, invalid_boundary_id).
const types::boundary_id numbers::internal_face_boundary_id = static_cast<types::boundary_id>(1) 
A boundary indicator number that we reserve for internal faces. We assume that all valid boundary_ids lie in the range [0, internal_face_boundary_id).
This is an indicator that is used internally (by the library) to differentiate between faces that lie at the boundary of the domain and faces that lie in the interior of the domain. You should never try to assign this boundary indicator to anything in user code.
const types::manifold_id numbers::invalid_manifold_id = static_cast<types::manifold_id>(1) 
Invalid manifold_id which we need in several places as a default value. We assume that all valid manifold_ids lie in the range [0, invalid_manifold_id).
const types::manifold_id numbers::flat_manifold_id = static_cast<types::manifold_id>(1) 
A manifold_id we reserve for the default flat Cartesian manifold.
const types::subdomain_id numbers::invalid_subdomain_id = static_cast<types::subdomain_id>(1) 
const types::subdomain_id numbers::artificial_subdomain_id = static_cast<types::subdomain_id>(2) 
The subdomain id assigned to a cell whose true subdomain id we don't know, for example because it resides on a different processor on a mesh that is kept distributed on many processors. Such cells are called "artificial".
See the glossary entries on subdomain ids and artificial cells as well as the Parallel computing with multiple processors using distributed memory module for more information.