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JPolynome5D.cc
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1 
2 #include <string>
3 #include <iostream>
4 #include <iomanip>
5 
6 #include "TRandom3.h"
7 
8 #include "JTools/JMapList.hh"
11 #include "JTools/JMultiFunction.hh"
12 #include "JTools/JQuantile.hh"
13 
14 #include "Jeep/JTimer.hh"
15 #include "Jeep/JParser.hh"
16 #include "Jeep/JMessage.hh"
17 
18 
19 /**
20  * 5D function.
21  */
22 inline double f5(const double x0,
23  const double x1,
24  const double x2,
25  const double x3,
26  const double x4)
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 }
39 
40 
41 /**
42  * \file
43  * Example program to test multi-dimensional interpolation.
44  * \author mdejong
45  */
46 int main(int argc, char **argv)
47 {
48  using namespace std;
49 
50  int numberOfEvents;
51  int numberOfBins;
52  double precision;
53  int debug;
54 
55  try {
56 
57  JParser<> zap("Example program to test multi-dimensional interpolation.");
58 
59  zap['n'] = make_field(numberOfEvents) = 1000;
60  zap['N'] = make_field(numberOfBins) = 11;
61  zap['e'] = make_field(precision) = 1.0e-14;
62  zap['d'] = make_field(debug) = 3;
63 
64  zap(argc, argv);
65  }
66  catch(const exception &error) {
67  FATAL(error.what() << endl);
68  }
69 
70 
71  using namespace JPP;
72 
73 
74  const double xmin = -1.0;
75  const double xmax = +1.0;
76  const double dx = (xmax - xmin) / (numberOfBins - 1);
77 
78 
79  typedef JGridPolint3Function1D_t JFunction1D_t;
80 
81  typedef JMAPLIST<JPolint3FunctionalGridMap,
82  JPolint3FunctionalGridMap,
83  JPolint3FunctionalGridMap,
84  JPolint3FunctionalGridMap>::maplist JMaplist_t;
85 
86  typedef JMultiFunction<JFunction1D_t, JMaplist_t> JMultiFunction_t;
87 
88 
89  JMultiFunction_t g5;
90 
91 
92  for (double x0 = xmin; x0 <= xmax + 0.5*dx; x0 += dx) {
93  for (double x1 = xmin; x1 <= xmax + 0.5*dx; x1 += dx) {
94  for (double x2 = xmin; x2 <= xmax + 0.5*dx; x2 += dx) {
95  for (double x3 = xmin; x3 <= xmax + 0.5*dx; x3 += dx) {
96  for (double x4 = xmin; x4 <= xmax + 0.5*dx; x4 += dx) {
97  g5[x0][x1][x2][x3][x4] = f5(x0, x1, x2, x3, x4);
98  }
99  }
100  }
101  }
102  }
103 
104  g5.compile();
105  g5.setExceptionHandler(new JFunction1D_t::JDefaultResult(JMATH::zero));
106 
107 
108  ASSERT(numberOfEvents > 0);
109 
110  JTimer timer;
111 
112  JQuantile Q;
113 
114  for (int i = 0; i != numberOfEvents; ++i) {
115 
116  const double x0 = gRandom->Uniform(xmin, xmax);
117  const double x1 = gRandom->Uniform(xmin, xmax);
118  const double x2 = gRandom->Uniform(xmin, xmax);
119  const double x3 = gRandom->Uniform(xmin, xmax);
120  const double x4 = gRandom->Uniform(xmin, xmax);
121 
122  const double v = f5(x0,x1,x2,x3,x4);
123 
124  timer.start();
125 
126  const double w = g5(x0,x1,x2,x3,x4);
127 
128  timer.stop();
129 
130  Q.put(v - w);
131  }
132 
133  if (debug >- debug_t) {
134 
135  Q.print(cout);
136 
137  timer.print(cout, 1.0 / numberOfEvents);
138  }
139 
140  ASSERT(Q.getMean() <= precision);
141  ASSERT(Q.getSTDev() <= precision);
142 
143  return 0;
144 }
Utility class to parse command line options.
Definition: JParser.hh:1500
data_type w[N+1][M+1]
Definition: JPolint.hh:741
Q(UTCMax_s-UTCMin_s)-livetime_s
debug
Definition: JMessage.hh:29
int main(int argc, char *argv[])
Definition: Main.cc:15
static const JZero zero
Function object to assign zero value.
Definition: JZero.hh:105
Various implementations of functional maps.
#define ASSERT(A,...)
Assert macro.
Definition: JMessage.hh:90
#define make_field(A,...)
macro to convert parameter to JParserTemplateElement object
Definition: JParser.hh:1961
int debug
debug level
Definition: JSirene.cc:63
General purpose messaging.
#define FATAL(A)
Definition: JMessage.hh:67
then JCalibrateToT a
Definition: JTuneHV.sh:116
Utility class to parse command line options.
double f5(const double x0, const double x1, const double x2, const double x3, const double x4)
5D function.
data_type v[N+1][M+1]
Definition: JPolint.hh:740
int numberOfBins
number of bins for average CDF integral of optical module
Definition: JSirene.cc:64