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IntegratorMultiDim.h
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1// @(#)root/mathcore:$Id$
2// Authors: M. Slawinska 08/2007
3
4/**********************************************************************
5 * *
6 * Copyright (c) 2007 , LCG ROOT MathLib Team *
7 * *
8 * *
9 **********************************************************************/
10
11// Header source file for class IntegratorMultiDim
12
13
14#ifndef ROOT_Math_IntegratorMultiDim
15#define ROOT_Math_IntegratorMultiDim
16
17
18#include "Math/IFunctionfwd.h"
19
21
23
25
26#ifndef __CINT__
27
29
30#endif
31
32#include <memory>
33
34namespace ROOT {
35namespace Math {
36
37//___________________________________________________________________________________________
38/**
39 User class for performing multidimensional integration
40
41 By default uses adaptive multi-dimensional integration using the algorithm from Genz Mallik
42 implemented in the class ROOT::Math::AdaptiveIntegratorMultiDim otherwise it can uses via the
43 plug-in manager the MC integration class (ROOT::Math::GSLMCIntegration) from MathMore.
44
45 @ingroup Integration
46
47
48 */
49
51
52public:
53
54 typedef IntegrationMultiDim::Type Type; // for the enumerations defining the types
55
56
57 /** Generic constructor of multi dimensional Integrator. By default uses the Adaptive integration method
58
59 @param type integration type (adaptive, MC methods, etc..)
60 @param absTol desired absolute Error
61 @param relTol desired relative Error
62 @param size maximum number of sub-intervals
63
64 In case no parameter values are passed the default ones used in IntegratorMultiDimOptions are used
65 */
66 explicit
67 IntegratorMultiDim(IntegrationMultiDim::Type type = IntegrationMultiDim::kDEFAULT, double absTol = -1, double relTol = -1, unsigned int ncall = 0) :
69 {
70 fIntegrator = CreateIntegrator(type, absTol, relTol, ncall);
71 }
72
73 /** Generic Constructor of multi dimensional Integrator passing a function. By default uses the adaptive integration method
74
75 @param f integration function (multi-dim interface)
76 @param type integration type (adaptive, MC methods, etc..)
77 @param absTol desired absolute Error
78 @param relTol desired relative Error
79 @param ncall number of function calls (apply only to MC integratioon methods)
80 */
81 explicit
82 IntegratorMultiDim(const IMultiGenFunction &f, IntegrationMultiDim::Type type = IntegrationMultiDim::kDEFAULT, double absTol = -1, double relTol = -1, unsigned int ncall = 0) :
84 {
85 fIntegrator = CreateIntegrator(type, absTol, relTol, ncall);
87 }
88
89 // remove template constructor since is ambigous
90
91 /** Template Constructor of multi dimensional Integrator passing a generic function. By default uses the adaptive integration method
92
93 @param f integration function (generic function implementin operator()(const double *)
94 @param dim function dimension
95 @param type integration type (adaptive, MC methods, etc..)
96 @param absTol desired absolute Error
97 @param relTol desired relative Error
98 @param ncall number of function calls (apply only to MC integratioon methods)
99 */
100// this is ambigous
101// template<class Function>
102// IntegratorMultiDim(Function & f, unsigned int dim, IntegrationMultiDim::Type type = IntegrationMultiDim::kADAPTIVE, double absTol = 1.E-9, double relTol = 1E-6, unsigned int ncall = 100000) {
103// fIntegrator = CreateIntegrator(type, absTol, relTol, ncall);
104// SetFunction(f, dim);
105// }
106
107 /// destructor
109 if (fIntegrator) delete fIntegrator;
110 }
111
112
113 // disable copy constructur and assignment operator
114
115private:
118
119public:
120
121
122 /**
123 evaluate the integral with the previously given function between xmin[] and xmax[]
124 */
125 double Integral(const double* xmin, const double * xmax) {
126 return fIntegrator == 0 ? 0 : fIntegrator->Integral(xmin,xmax);
127 }
128
129 /// evaluate the integral passing a new function
130 double Integral(const IMultiGenFunction &f, const double* xmin, const double * xmax) {
131 SetFunction(f);
132 return Integral(xmin,xmax);
133 }
134
135 /// evaluate the integral passing a new generic function
136 template<class Function>
137 double Integral(Function & f , unsigned int dim, const double* xmin, const double * xmax) {
138 SetFunction<Function>(f,dim);
139 return Integral(xmin, xmax);
140 }
141
142
143 /**
144 set integration function using a generic function implementing the operator()(double *x)
145 The dimension of the function is in this case required
146 */
147 template <class Function>
148 void SetFunction(Function & f, unsigned int dim) {
149 fFunc.reset(new WrappedMultiFunction<Function &> (f, dim) );
151 }
152
153 // set the function without cloning it
156 }
157
158 /// return result of last integration
159 double Result() const { return fIntegrator == 0 ? 0 : fIntegrator->Result(); }
160
161 /// return integration error
162 double Error() const { return fIntegrator == 0 ? 0 : fIntegrator->Error(); }
163
164 /// return the Error Status of the last Integral calculation
165 int Status() const { return fIntegrator == 0 ? -1 : fIntegrator->Status(); }
166
167 // return number of function evaluations in calculating the integral
168 //unsigned int NEval() const { return fNEval; }
169
170 /// set the relative tolerance
171 void SetRelTolerance(double relTol) { if (fIntegrator) fIntegrator->SetRelTolerance(relTol); }
172
173 /// set absolute tolerance
174 void SetAbsTolerance(double absTol) { if (fIntegrator) fIntegrator->SetAbsTolerance(absTol); }
175
176 /// set the options
178
179 /// retrieve the options
181
182 /// return a pointer to integrator object
184
185 /// return name of integrator
186 std::string Name() const { return (fIntegrator) ? Options().Integrator() : std::string(""); }
187
188 /// static function to get the enumeration from a string
189 static IntegrationMultiDim::Type GetType(const char * name);
190
191 /// static function to get a string from the enumeration
192 static std::string GetName(IntegrationMultiDim::Type);
193
194protected:
195
196 VirtualIntegratorMultiDim * CreateIntegrator(IntegrationMultiDim::Type type , double absTol, double relTol, unsigned int ncall);
197
198 private:
199
200 VirtualIntegratorMultiDim * fIntegrator; // pointer to multi-dimensional integrator base class
201 std::unique_ptr<IMultiGenFunction> fFunc; // pointer to owned function
202
203
204};
205
206}//namespace Math
207}//namespace ROOT
208
209#endif /* ROOT_Math_IntegratorMultiDim */
#define f(i)
Definition: RSha256.hxx:104
char name[80]
Definition: TGX11.cxx:109
int type
Definition: TGX11.cxx:120
float xmin
Definition: THbookFile.cxx:93
float xmax
Definition: THbookFile.cxx:93
Double_t(* Function)(Double_t)
Definition: Functor.C:4
Documentation for the abstract class IBaseFunctionMultiDim.
Definition: IFunction.h:62
Numerical multi dimensional integration options.
std::string Integrator() const
name of multi-dim integrator
User class for performing multidimensional integration.
double Integral(const double *xmin, const double *xmax)
evaluate the integral with the previously given function between xmin[] and xmax[]
IntegratorMultiDim(const IMultiGenFunction &f, IntegrationMultiDim::Type type=IntegrationMultiDim::kDEFAULT, double absTol=-1, double relTol=-1, unsigned int ncall=0)
Generic Constructor of multi dimensional Integrator passing a function.
static std::string GetName(IntegrationMultiDim::Type)
static function to get a string from the enumeration
Definition: Integrator.cxx:90
void SetOptions(const ROOT::Math::IntegratorMultiDimOptions &opt)
set the options
IntegrationMultiDim::Type Type
double Integral(const IMultiGenFunction &f, const double *xmin, const double *xmax)
evaluate the integral passing a new function
void SetFunction(Function &f, unsigned int dim)
set integration function using a generic function implementing the operator()(double *x) The dimensio...
static IntegrationMultiDim::Type GetType(const char *name)
static function to get the enumeration from a string
Definition: Integrator.cxx:78
VirtualIntegratorMultiDim * fIntegrator
double Result() const
return result of last integration
virtual ~IntegratorMultiDim()
Template Constructor of multi dimensional Integrator passing a generic function.
int Status() const
return the Error Status of the last Integral calculation
void SetRelTolerance(double relTol)
set the relative tolerance
VirtualIntegratorMultiDim * GetIntegrator()
return a pointer to integrator object
IntegratorMultiDim(IntegrationMultiDim::Type type=IntegrationMultiDim::kDEFAULT, double absTol=-1, double relTol=-1, unsigned int ncall=0)
Generic constructor of multi dimensional Integrator.
std::string Name() const
return name of integrator
std::unique_ptr< IMultiGenFunction > fFunc
IntegratorMultiDim & operator=(const IntegratorMultiDim &)
VirtualIntegratorMultiDim * CreateIntegrator(IntegrationMultiDim::Type type, double absTol, double relTol, unsigned int ncall)
Definition: Integrator.cxx:178
void SetFunction(const IMultiGenFunction &f)
ROOT::Math::IntegratorMultiDimOptions Options() const
retrieve the options
double Error() const
return integration error
IntegratorMultiDim(const IntegratorMultiDim &)
double Integral(Function &f, unsigned int dim, const double *xmin, const double *xmax)
evaluate the integral passing a new generic function
void SetAbsTolerance(double absTol)
set absolute tolerance
Interface (abstract) class for multi numerical integration It must be implemented by the concrete Int...
virtual void SetOptions(const ROOT::Math::IntegratorMultiDimOptions &opt)
set the options (if needed must be re-implemented by derived classes)
virtual double Integral(const double *, const double *)=0
evaluate multi-dim integral
virtual ROOT::Math::IntegratorMultiDimOptions Options() const =0
get the option used for the integration impelement by derived class otherwise return default ones
virtual void SetFunction(const IMultiGenFunction &)=0
setting a multi-dim function
virtual void SetRelTolerance(double)=0
set the desired relative Error
virtual void SetAbsTolerance(double)=0
set the desired absolute Error
virtual double Error() const =0
return the estimate of the absolute Error of the last Integral calculation
virtual double Result() const =0
return the Result of the last Integral calculation
virtual int Status() const =0
return the Error Status of the last Integral calculation
Template class to wrap any C++ callable object implementing operator() (const double * x) in a multi-...
Type
enumeration specifying the integration types.
Namespace for new Math classes and functions.
VSD Structures.
Definition: StringConv.hxx:21