The Math namespace includes the declaration of some useful mathematical functions. More...
Namespaces | |
Functions | |
This namespace introduces some useful function classes with known primitive and inverse primitive functions. | |
Classes | |
struct | MathType |
MathType is an empty non-polymorphic base class for all mathematical function types. More... | |
struct | Power |
Templated class for calculating integer powers. More... | |
struct | Power< 0, false > |
Struct for powers. More... | |
struct | Power< 0, true > |
Struct for powers. More... | |
struct | Power< N, false > |
Struct for powers. More... | |
struct | Power< N, true > |
Struct for powers. More... | |
Functions | |
double | exp1m (double x) |
Return , with highest possible precision for . More... | |
double | log1m (double) |
Return , with highest possible precision for . More... | |
double | powi (double x, int p) |
Return x rased to the integer power p, using recursion. More... | |
double | pIntegrate (double p, double xl, double xu) |
Return the integral of between xl and xu. More... | |
double | pIntegrate (int p, double xl, double xu) |
Return the integral of between xl and xu. More... | |
double | pXIntegrate (double e, double xl, double dx) |
Return the integral of between xl and xl+dx with highest possible precision for and/or . More... | |
double | pGenerate (double p, double xl, double xu, double rnd) |
Generate an x between xl and xu distributed as . More... | |
double | pGenerate (int p, double xl, double xu, double rnd) |
Generate an x between xl and xu distributed as . More... | |
double | pXGenerate (double e, double xl, double dx, double rnd) |
Generate an x between xl and xl + dx distributed as with highest possible precision for and/or * . More... | |
template<typename FloatType > | |
double | relativeError (FloatType x, FloatType y) |
Returns (x - y)/(|x| + |y|). More... | |
template<typename T > | |
T | absmin (const T &x, const T &y) |
Return x if |x|<|y|, else return y. More... | |
template<typename T > | |
T | absmax (const T &x, const T &y) |
Return x if |x|>|y|, else return y. More... | |
template<typename T , typename U > | |
T | sign (T x, U y) |
Transfer the sign of the second argument to the first. More... | |
template<int N> | |
double | Pow (double x) |
Templated function to calculate integer powers known at compile-time. More... | |
The Math namespace includes the declaration of some useful mathematical functions.
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double ThePEG::Math::exp1m | ( | double | x | ) |
Return , with highest possible precision for .
Referenced by ThePEG::PartonBinInstance::eps(), pXGenerate(), and pXIntegrate().
double ThePEG::Math::log1m | ( | double | ) |
Return , with highest possible precision for .
Referenced by pXGenerate(), and pXIntegrate().
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double ThePEG::Math::powi | ( | double | x, |
int | p | ||
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Return x rased to the integer power p, using recursion.
Referenced by pGenerate(), and pIntegrate().
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Returns (x - y)/(|x| + |y|).
Definition at line 80 of file Maths.h.
Referenced by ThePEG::Lorentz5Vector< Length >::energyError(), ThePEG::Lorentz5Vector< Length >::massError(), and ThePEG::Lorentz5Vector< Length >::rhoError().