Eigen::NumTraits< T > Class Template Reference

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Detailed Description

template<typename T>
class Eigen::NumTraits< T >

Holds information about the various numeric (i.e.

scalar) types allowed by Eigen.

Parameters:

T	the numeric type at hand

This class stores enums, typedefs and static methods giving information about a numeric type.

The provided data consists of:

• A typedef Real, giving the "real part" type of T. If T is already real, then Real is just a typedef to T. If T is std::complex<U> then Real is a typedef to U.
• A typedef NonInteger, giving the type that should be used for operations producing non-integral values, such as quotients, square roots, etc. If T is a floating-point type, then this typedef just gives T again. Note however that many Eigen functions such as internal::sqrt simply refuse to take integers. Outside of a few cases, Eigen doesn't do automatic type promotion. Thus, this typedef is only intended as a helper for code that needs to explicitly promote types.
• A typedef Nested giving the type to use to nest a value inside of the expression tree. If you don't know what this means, just use T here.
• An enum value IsComplex. It is equal to 1 if T is a std::complex type, and to 0 otherwise.
• An enum value IsInteger. It is equal to 1 if T is an integer type such as int, and to 0 otherwise.
• Enum values ReadCost, AddCost and MulCost representing a rough estimate of the number of CPU cycles needed to by move / add / mul instructions respectively, assuming the data is already stored in CPU registers. Stay vague here. No need to do architecture-specific stuff.
• An enum value IsSigned. It is equal to 1 if T is a signed type and to 0 if T is unsigned.
• An enum value RequireInitialization. It is equal to 1 if the constructor of the numeric type T must be called, and to 0 if it is safe not to call it. Default is 0 if T is an arithmetic type, and 1 otherwise.
• An epsilon() function which, unlike std::numeric_limits::epsilon(), returns a Real instead of a T.
• A dummy_precision() function returning a weak epsilon value. It is mainly used as a default value by the fuzzy comparison operators.
• highest() and lowest() functions returning the highest and lowest possible values respectively.

Definition at line 102 of file Core.

Inheritance diagram for Eigen::NumTraits< T >:

List of all members.

Public Types
enum	{   IsInteger = std::numeric_limits<T>::is_integer, IsSigned = std::numeric_limits<T>::is_signed, IsComplex = 0, RequireInitialization = internal::is_arithmetic<T>::value ? 0 : 1,   ReadCost = 1, AddCost = 1, MulCost = 1 }
typedef T	Real

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Member Typedef Documentation

template<typename T>

typedef T Eigen::GenericNumTraits< T >::Real [inherited]

Reimplemented in Eigen::NumTraits< std::complex< _Real > >, and Eigen::NumTraits< mpfr::mpreal >.

Definition at line 77 of file Core.

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Member Enumeration Documentation

template<typename T>

anonymous enum [inherited]

Enumerator:

IsInteger
IsSigned
IsComplex
RequireInitialization
ReadCost
AddCost
MulCost

Definition at line 67 of file Core.