#include <Teuchos_ScalarTraits.hpp>
Public Types | |
typedef T | magnitudeType |
Madatory typedef for result of magnitude. | |
Static Public Member Functions | |
static magnitudeType | eps () |
Returns relative machine precision. | |
static magnitudeType | sfmin () |
Returns safe minimum (sfmin), such that 1/sfmin does not overflow. | |
static magnitudeType | base () |
Returns the base of the machine. | |
static magnitudeType | prec () |
Returns eps*base . | |
static magnitudeType | t () |
Returns the number of (base) digits in the mantissa. | |
static magnitudeType | rnd () |
Returns 1.0 when rounding occurs in addition, 0.0 otherwise. | |
static magnitudeType | emin () |
Returns the minimum exponent before (gradual) underflow. | |
static magnitudeType | rmin () |
Returns the underflow threshold - base^ (emin-1). | |
static magnitudeType | emax () |
Returns the largest exponent before overflow. | |
static magnitudeType | rmax () |
Overflow theshold - (base^emax)*(1-eps). | |
static magnitudeType | magnitude (T a) |
Returns the magnitudeType of the scalar type a . | |
static T | zero () |
Returns representation of zero for this scalar type. | |
static T | one () |
Returns representation of one for this scalar type. | |
static magnitudeType | real (T a) |
Returns the real part of the scalar type a . | |
static magnitudeType | imag (T a) |
Returns the imaginary part of the scalar type a . | |
static T | conjugate (T a) |
Returns the conjugate of the scalar type a . | |
static T | nan () |
Returns a number that represents NaN. | |
static bool | isnaninf (const T &x) |
Returns true if x is NaN or Inf. | |
static void | seedrandom (unsigned int s) |
Seed the random number generator returned by random() . | |
static T | random () |
Returns a random number (between -one() and +one()) of this scalar type. | |
static std::string | name () |
Returns the name of this scalar type. | |
static T | squareroot (T x) |
Returns a number of magnitudeType that is the square root of this scalar type x . | |
static T | pow (T x, T y) |
Returns the result of raising one scalar x to the power y . | |
Static Public Attributes | |
static const bool | isComplex = false |
Determines if scalar type is std::complex. | |
static const bool | isComparable = false |
Determines if scalar type supports relational operators such as <, >, <=, >=. | |
static const bool | hasMachineParameters = false |
Determines if scalar type have machine-specific parameters (i.e. eps(), sfmin(), base(), prec(), t(), rnd(), emin(), rmin(), emax(), rmax() are supported). |
Scalar traits are an essential part of templated codes. This structure offers the basic traits of the templated scalar type, like defining zero and one, and basic functions on the templated scalar type, like performing a square root.
The functions in the templated base unspecialized struct are designed not to compile (giving a nice compile-time error message) and therefore specializations must be written for Scalar types actually used.
int
, float
, and double
. http://crd.lbl.gov/~dhbailey/mpdist/
) by configuring Teuchos with --enable-teuchos-arprec
and giving the appropriate paths to ARPREC. Then ScalarTraits has the specialization: mp_real
. --enable-teuchos-stdcomplex
then ScalarTraits also has a parital specialization for all std::complex numbers of the form std::complex<T>
. Definition at line 97 of file Teuchos_ScalarTraits.hpp.
typedef T Teuchos::ScalarTraits< T >::magnitudeType |
static magnitudeType Teuchos::ScalarTraits< T >::base | ( | ) | [inline, static] |
static T Teuchos::ScalarTraits< T >::conjugate | ( | T | a | ) | [inline, static] |
Returns the conjugate of the scalar type a
.
Definition at line 138 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::emax | ( | ) | [inline, static] |
Returns the largest exponent before overflow.
Definition at line 124 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::emin | ( | ) | [inline, static] |
Returns the minimum exponent before (gradual) underflow.
Definition at line 120 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::eps | ( | ) | [inline, static] |
static magnitudeType Teuchos::ScalarTraits< T >::imag | ( | T | a | ) | [inline, static] |
Returns the imaginary part of the scalar type a
.
Definition at line 136 of file Teuchos_ScalarTraits.hpp.
static bool Teuchos::ScalarTraits< T >::isnaninf | ( | const T & | x | ) | [inline, static] |
static magnitudeType Teuchos::ScalarTraits< T >::magnitude | ( | T | a | ) | [inline, static] |
Returns the magnitudeType of the scalar type a
.
Definition at line 128 of file Teuchos_ScalarTraits.hpp.
static std::string Teuchos::ScalarTraits< T >::name | ( | ) | [inline, static] |
static T Teuchos::ScalarTraits< T >::nan | ( | ) | [inline, static] |
static T Teuchos::ScalarTraits< T >::one | ( | ) | [inline, static] |
Returns representation of one for this scalar type.
Definition at line 132 of file Teuchos_ScalarTraits.hpp.
static T Teuchos::ScalarTraits< T >::pow | ( | T | x, | |
T | y | |||
) | [inline, static] |
Returns the result of raising one scalar x
to the power y
.
Definition at line 152 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::prec | ( | ) | [inline, static] |
static T Teuchos::ScalarTraits< T >::random | ( | ) | [inline, static] |
Returns a random number (between -one() and +one()) of this scalar type.
Definition at line 146 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::real | ( | T | a | ) | [inline, static] |
Returns the real part of the scalar type a
.
Definition at line 134 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::rmax | ( | ) | [inline, static] |
static magnitudeType Teuchos::ScalarTraits< T >::rmin | ( | ) | [inline, static] |
Returns the underflow threshold - base^
(emin-1).
Definition at line 122 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::rnd | ( | ) | [inline, static] |
Returns 1.0 when rounding occurs in addition, 0.0 otherwise.
Definition at line 118 of file Teuchos_ScalarTraits.hpp.
static void Teuchos::ScalarTraits< T >::seedrandom | ( | unsigned int | s | ) | [inline, static] |
Seed the random number generator returned by random()
.
Definition at line 144 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::sfmin | ( | ) | [inline, static] |
Returns safe minimum (sfmin), such that 1/sfmin does not overflow.
Definition at line 110 of file Teuchos_ScalarTraits.hpp.
static T Teuchos::ScalarTraits< T >::squareroot | ( | T | x | ) | [inline, static] |
Returns a number of magnitudeType that is the square root of this scalar type x
.
Definition at line 150 of file Teuchos_ScalarTraits.hpp.
static magnitudeType Teuchos::ScalarTraits< T >::t | ( | ) | [inline, static] |
Returns the number of (base) digits in the mantissa.
Definition at line 116 of file Teuchos_ScalarTraits.hpp.
static T Teuchos::ScalarTraits< T >::zero | ( | ) | [inline, static] |
Returns representation of zero for this scalar type.
Definition at line 130 of file Teuchos_ScalarTraits.hpp.
const bool Teuchos::ScalarTraits< T >::hasMachineParameters = false [static] |
const bool Teuchos::ScalarTraits< T >::isComparable = false [static] |
Determines if scalar type supports relational operators such as <, >, <=, >=.
Definition at line 104 of file Teuchos_ScalarTraits.hpp.
const bool Teuchos::ScalarTraits< T >::isComplex = false [static] |