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00001 #ifndef PhysicsTools_Utilities_Convolution_h
00002 #define PhysicsTools_Utilities_Convolution_h
00003 #include "FWCore/Utilities/interface/EDMException.h"
00004 #include "PhysicsTools/Utilities/interface/NumericalIntegration.h"
00005 
00006 namespace funct {
00007   template<typename A, typename B, typename Integrator>
00008   class ConvolutionStruct {
00009   public:
00010     // min and max are defined in the domain of b
00011     ConvolutionStruct(const A& a, const B& b, 
00012                       double min, double max, const Integrator & integrator) : 
00013       f_(a, b), min_(min), max_(max), integrator_(integrator) { 
00014       if(max < min)
00015         throw edm::Exception(edm::errors::Configuration)
00016           << "Convolution: min must be smaller than max\n"; 
00017     }
00018     double operator()(double x) const {
00019       f_.setX(x);
00020       return integrator_(f_, x - max_, x - min_);
00021     }
00022    private:
00023     struct function {
00024       function(const A& a, const B& b) : _1(a), _2(b) { }
00025       void setX(double x) const { x_ = x; }
00026       double operator()(double y) const {
00027         return _1(y) * _2(x_ - y);
00028       }
00029     private:
00030       A _1;
00031       B _2;
00032       mutable double x_;
00033     };
00034     function f_;
00035     double min_, max_, delta_;
00036     Integrator integrator_;
00037   };
00038 
00039   template<typename A, typename B, typename Integrator>
00040   struct Convolution {
00041     typedef ConvolutionStruct<A, B, Integrator> type;
00042     static type compose(const A& a, const B& b, double min, double max, const Integrator& i) {
00043       return type(a, b, min, max, i);
00044     }
00045   };
00046 
00047   template<typename A, typename B, typename Integrator>
00048   inline typename funct::Convolution<A, B, Integrator>::type conv(const A& a, const B& b, double min, double max, const Integrator& i) {
00049     return funct::Convolution<A, B, Integrator>::compose(a, b, min, max, i);
00050   }
00051 
00052 }
00053 
00054 
00055 
00056 #endif