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ex-5: add header to the results table

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This commit is contained in:
Michele Guerini Rocco 2020-05-24 22:04:31 +02:00
parent f6e048496f
commit f73c9b14b3
3 changed files with 30 additions and 34 deletions
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27
README.md
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@ -155,27 +155,10 @@ and `-b`.
### Exercise 5
`ex-5/main` compute estimations of the integral of exp(x) between 0 and 1
with the methods plain MC, MISER and VEGAS with different number of points.
It takes no arguments in input.
It prints out eight columns:
1. the number of points;
2. the integral estimation with plain MC;
3. its uncertainty;
4. the integral estimation with MISER;
5. its uncertainty;
6. the integral estimation with VEGAS;
7. its uncertainty;
8. its χ².
To plot the results do:
using several methods: a plain Monte Carlo, the MISER and VEGAS algorithms
with different number of samples. The program takes no arguments and prints
a table of the result and its error for each method.
To visualise the results, you can plot the table by doing:
$ ex-5/main | ex-5/plot.py
@ -214,7 +197,7 @@ The program accepts some parameters to control the histogram and number of
events, run it with `-h` to see their usage.
(optional) `ex-6/plots/emd.py` makes the plots of the EMD statistics of the RL
deconvolution (shown in excercies.pdf, section 6.6) as a function of the number
deconvolution (shown in exercises.pdf, section 6.6) as a function of the number
of rounds. The programs sources its data from two files in the same directory,
these were obtained by running `ex-6/bin/test`. Do:

20
ex-5/main.c
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@ -5,7 +5,7 @@
#include <math.h>
// Wrapper for the gsl_function.
// exp() wrapper for the gsl_function structure
//
double function (double * x, size_t dim, void * params)
{
@ -19,13 +19,13 @@ void results (size_t calls, double result, double error, double chi)
{
if (calls != 0)
{
printf ("%.0e\t", (double)calls);
printf ("%6.0e | ", (double)calls);
}
printf ("%.10f\t", result);
printf ("%.10f\t", error);
printf ("%5f | ", result);
printf ("%5f | ", error);
if (chi != 0)
{
printf ("%.3f\t", chi);
printf ("%5f", chi);
}
}
@ -52,6 +52,12 @@ int main(int argc, char** argv)
expo.dim = 1;
expo.params = NULL;
// Print the results table header
printf(" Calls | Plain | Error | MISER |"
" Error | VEGAS | Error | χ²\n");
printf(" ------|----------|----------|----------|"
"----------|----------|----------|---------\n");
// Compute the integral for the following number of function calls:
// 50
// 500
@ -62,7 +68,7 @@ int main(int argc, char** argv)
// 50'000'000
// with the three MC methods: plain MC, MISER and VEGAS.
//
while (calls < 50000001)
while (calls <= 5000000)
{
// Plain MC
gsl_monte_plain_state *sMC = gsl_monte_plain_alloc (dims);
@ -82,7 +88,7 @@ int main(int argc, char** argv)
gsl_monte_vegas_state *sVE = gsl_monte_vegas_alloc (dims);
gsl_monte_vegas_integrate (&expo, lower, upper, dims, calls,
r, sVE, &integral, &error);
// In order to see the parameters of the VEGAS integration, decomment this
// paragraph:
//

17
ex-5/plot.py
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@ -4,19 +4,26 @@ import matplotlib.pyplot as plt
import numpy as np
import sys
calls, I_MC, σ_MC, I_MI, σ_MI, I_VE, σ_VE, chi = np.loadtxt(sys.stdin, unpack=True)
table = np.loadtxt(sys.stdin, unpack=True, skiprows=2, delimiter='|')
calls, I_MC, σ_MC, I_MI, σ_MI, I_VE, σ_VE, chi = table
exact = 1.7182818285
plt.rcParams['font.size'] = 17
plt.figure()
plt.title('Plain MC', loc='right')
plt.ylabel('$I^{oss}$')
plt.xlabel('calls')
plt.axhline(y=exact, color='#c556ea', linestyle='-', label='Exact value')
plt.xscale('log')
plt.errorbar(calls, I_MC, linestyle='', marker='o', yerr=σ_MC, color='#92182b', label='Plain MC')
plt.errorbar(calls, I_MI, linestyle='', marker='o', yerr=σ_MI, color='black', label='MISER')
plt.errorbar(calls, I_VE, linestyle='', marker='o', yerr=σ_VE, color='gray', label='VEGAS')
plt.axhline(y=exact, color='#c556ea', linestyle='-',
label='Exact value')
plt.errorbar(calls, I_MC, linestyle='', marker='o',
yerr=σ_MC, color='#92182b', label='Plain MC')
plt.errorbar(calls, I_MI, linestyle='', marker='o',
yerr=σ_MI, color='black', label='MISER')
plt.errorbar(calls, I_VE, linestyle='', marker='o',
yerr=σ_VE, color='gray', label='VEGAS')
plt.legend()
plt.show()