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JPolynome3D+2D.cc File Reference

Example program to test multi-dimensional interpolation with multi-dimensional function objects. More...

#include <string>
#include <iostream>
#include <iomanip>
#include "TRandom3.h"
#include "JTools/JMapList.hh"
#include "JTools/JFunction1D_t.hh"
#include "JTools/JFunctionalMap_t.hh"
#include "JTools/JMultiFunction.hh"
#include "JTools/JQuantile.hh"
#include "Jeep/JTimer.hh"
#include "Jeep/JParser.hh"
#include "Jeep/JMessage.hh"

Go to the source code of this file.

Functions

double f5 (const double x0, const double x1, const double x2, const double x3, const double x4)
 5D function. More...
 
int main (int argc, char **argv)
 

Detailed Description

Example program to test multi-dimensional interpolation with multi-dimensional function objects.

Author
mdejong

Definition in file JPolynome3D+2D.cc.

Function Documentation

◆ f5()

double f5 ( const double  x0,
const double  x1,
const double  x2,
const double  x3,
const double  x4 
)
inline

5D function.

Definition at line 22 of file JPolynome3D+2D.cc.

27 {
28  static const double a = 1.0;
29  static const double b = 1.0;
30  static const double c = 1.0;
31 
32  return
33  x0 * (a + x0 * (b + c*x0)) *
34  x1 * (a + x1 * (b + c*x1)) *
35  x2 * (a + x2 * (b + c*x2)) *
36  x3 * (a + x3 * (b + c*x3)) *
37  x4 * (a + x4 * (b + c*x4));
38 }
const double a
Definition: JQuadrature.cc:42

◆ main()

int main ( int  argc,
char **  argv 
)

Definition at line 46 of file JPolynome3D+2D.cc.

47 {
48  using namespace std;
49 
50  int numberOfEvents;
51  int numberOfBins;
52  int debug;
53 
54  try {
55 
56  JParser<> zap("Example program to test multi-dimensional interpolation with multi-dimensional function objects.");
57 
58  zap['n'] = make_field(numberOfEvents) = 1000;
59  zap['N'] = make_field(numberOfBins) = 11;
60  zap['d'] = make_field(debug) = 3;
61 
62  zap(argc, argv);
63  }
64  catch(const exception &error) {
65  FATAL(error.what() << endl);
66  }
67 
68 
69  using namespace JPP;
70 
71 
72  const double xmin = -1.0;
73  const double xmax = +1.0;
74  const double dx = (xmax - xmin) / (numberOfBins - 1);
75 
76 
77  typedef JGridPolint3Function1D_t JFunction1D_t;
78 
80 
83  JPolint3FunctionalGridMap>::maplist JMaplist3D_t;
84 
85  typedef JMultiFunction<JFunction1D_t, JMaplist1D_t> JFunction2D_t;
86  typedef JMultiFunction<JFunction2D_t, JMaplist3D_t> JFunction5D_t;
87 
88  JFunction5D_t g5;
89 
90 
91  for (double x0 = xmin; x0 <= xmax + 0.5*dx; x0 += dx) {
92  for (double x1 = xmin; x1 <= xmax + 0.5*dx; x1 += dx) {
93  for (double x2 = xmin; x2 <= xmax + 0.5*dx; x2 += dx) {
94  for (double x3 = xmin; x3 <= xmax + 0.5*dx; x3 += dx) {
95  for (double x4 = xmin; x4 <= xmax + 0.5*dx; x4 += dx) {
96  g5[x0][x1][x2][x3][x4] = f5(x0, x1, x2, x3, x4);
97  }
98  }
99  }
100  }
101  }
102 
103  g5.compile();
104  g5.setExceptionHandler(new JFunction1D_t::JDefaultResult(JMATH::zero));
105 
106 
107  if (numberOfEvents > 0) {
108 
109  JTimer timer;
110 
111  JQuantile Q;
112 
113  for (int i = 0; i != numberOfEvents; ++i) {
114 
115  const double x0 = gRandom->Uniform(xmin, xmax);
116  const double x1 = gRandom->Uniform(xmin, xmax);
117  const double x2 = gRandom->Uniform(xmin, xmax);
118  const double x3 = gRandom->Uniform(xmin, xmax);
119  const double x4 = gRandom->Uniform(xmin, xmax);
120 
121  const double v = f5(x0,x1,x2,x3,x4);
122 
123  timer.start();
124 
125  const double w = g5(x0,x1,x2,x3,x4);
126 
127  timer.stop();
128 
129  Q.put(v - w);
130  }
131 
132  Q.print(cout);
133 
134  timer.print(cout, 1.0 / numberOfEvents);
135  }
136 }
#define FATAL(A)
Definition: JMessage.hh:67
int debug
debug level
Definition: JSirene.cc:69
#define make_field(A,...)
macro to convert parameter to JParserTemplateElement object
Definition: JParser.hh:2158
double f5(const double x0, const double x1, const double x2, const double x3, const double x4)
5D function.
int numberOfBins
number of bins for average CDF integral of optical module
Definition: JSirene.cc:70
Auxiliary class for CPU timing and usage.
Definition: JTimer.hh:33
void print(std::ostream &out, const JScale_t scale=milli_t) const
Print timer data.
Definition: JTimer.hh:172
void stop()
Stop timer.
Definition: JTimer.hh:127
void start()
Start timer.
Definition: JTimer.hh:106
Utility class to parse command line options.
Definition: JParser.hh:1714
Multidimensional interpolation method.
const double xmax
Definition: JQuadrature.cc:24
const double xmin
Definition: JQuadrature.cc:23
static const JZero zero
Function object to assign zero value.
Definition: JZero.hh:105
This name space includes all other name spaces (except KM3NETDAQ, KM3NET and ANTARES).
data_type w[N+1][M+1]
Definition: JPolint.hh:867
data_type v[N+1][M+1]
Definition: JPolint.hh:866
Definition: JSTDTypes.hh:14
Type definition of a 3rd degree polynomial interpolation based on a JGridCollection with result type ...
Auxiliary class for recursive map list generation.
Definition: JMapList.hh:109
Map list.
Definition: JMapList.hh:25
Type definition of a 3rd degree polynomial interpolation based on a JGridMap implementation.
Auxiliary data structure for running average, standard deviation and quantiles.
Definition: JQuantile.hh:46
std::ostream & print(std::ostream &out, bool lpr=true) const
Print quantile.
Definition: JQuantile.hh:382
void put(const double x, const double w=1.0)
Put value.
Definition: JQuantile.hh:133