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/*
* ViSP, open source Visual Servoing Platform software.
* Copyright (C) 2005 - 2024 by Inria. All rights reserved.
*
* This software is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
* See the file LICENSE.txt at the root directory of this source
* distribution for additional information about the GNU GPL.
*
* For using ViSP with software that can not be combined with the GNU
* GPL, please contact Inria about acquiring a ViSP Professional
* Edition License.
*
* See https://visp.inria.fr for more information.
*
* This software was developed at:
* Inria Rennes - Bretagne Atlantique
* Campus Universitaire de Beaulieu
* 35042 Rennes Cedex
* France
*
* If you have questions regarding the use of this file, please contact
* Inria at visp@inria.fr
*
* This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
* WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
*
* Description:
* Test various Statistical Process Control methods.
*/
/*!
\example testSPC.cpp
\brief Test various Statistical Process Control methods.
*/
#include <iostream>
#include <string>
#include <visp3/core/vpStatisticalTestEWMA.h>
#include <visp3/core/vpStatisticalTestHinkley.h>
#include <visp3/core/vpStatisticalTestMeanAdjustedCUSUM.h>
#include <visp3/core/vpStatisticalTestShewhart.h>
#include <visp3/core/vpStatisticalTestSigma.h>
#ifdef ENABLE_VISP_NAMESPACE
using namespace VISP_NAMESPACE_NAME;
#endif
bool initializeShewhartTest(const float &mean, const float &stdev, const bool &verbose, const std::string &testName, vpStatisticalTestShewhart &tester);
void usage(const char *name);
bool getOptions(int argc, const char **argv, float &opt_mean, float &opt_stdev, bool &opt_verbose);
bool initializeShewhartTest(const float &mean, const float &stdev, const bool &verbose, const std::string &testName, vpStatisticalTestShewhart &tester)
{
const bool activateWECOrules = true;
tester.init(activateWECOrules, vpStatisticalTestShewhart::CONST_ALL_WECO_ACTIVATED, mean, stdev);
bool isInitOK = true;
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT_INIT = vpStatisticalTestAbstract::MEAN_DRIFT_NONE;
vpStatisticalTestAbstract::vpMeanDriftType drift;
unsigned int i = 0;
while ((i < vpStatisticalTestShewhart::NB_DATA_SIGNAL - 1) && isInitOK) {
drift = tester.testDownUpwardMeanDrift(mean);
isInitOK = (drift == EXPECTED_DRIFT_INIT);
if (isInitOK) {
++i;
}
}
if (!isInitOK) {
if (verbose) {
std::cerr << "\t" << testName << " test initialization failed: " << std::endl;
std::cerr << "\t\ts(t) = " << tester.getSignal() << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_- = " << limitDown << std::endl;
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT_INIT) << std::endl;
}
}
return isInitOK;
}
void usage(const char *name)
{
std::cout << "SYNOPSIS " << std::endl;
std::cout << name << "[--mean <value>] [--stdev <value>] [-v, --verbose] [-h, --help]" << std::endl;
std::cout << "\nOPTIONS" << std::endl;
std::cout << " --mean" << std::endl;
std::cout << " Permits to set the mean of the input signal." << std::endl;
std::cout << std::endl;
std::cout << " --stdev" << std::endl;
std::cout << " Permits to set the standard deviation of the input signal." << std::endl;
std::cout << std::endl;
std::cout << " -v, --verbose" << std::endl;
std::cout << " Activate verbose mode." << std::endl;
std::cout << std::endl;
std::cout << " -h, --help" << std::endl;
std::cout << " Display the help." << std::endl;
std::cout << std::endl;
}
bool getOptions(int argc, const char **argv, float &opt_mean, float &opt_stdev, bool &opt_verbose)
{
int i = 1;
while (i < argc) {
std::string argname(argv[i]);
if ((argname == "--mean") && ((i + 1) < argc)) {
opt_mean = static_cast<float>(std::atof(argv[i + 1]));
++i;
}
else if ((argname == "--stdev") && ((i + 1) < argc)) {
opt_stdev = static_cast<float>(std::atof(argv[i + 1]));
++i;
}
else if ((argname == "-v") || (argname == "--verbose")) {
opt_verbose = true;
}
else if ((argname == "-h") || (argname == "--help")) {
usage(argv[0]);
return false;
}
else if ((argname == "-c") || (argname == "-d")) {
// Arguments given by CTest by default, do nothing
}
else {
usage(argv[0]);
std::cerr << "Error: unrecognised argument \"" << argv[i] << "\"" << std::endl;
return false;
}
++i;
}
return true;
}
int main(int argc, const char **argv)
{
float opt_mean = 0.f;
float opt_stdev = 1.f;
bool opt_verbose = false;
bool isParsingOk = getOptions(argc, argv, opt_mean, opt_stdev, opt_verbose);
if (!isParsingOk) {
return EXIT_FAILURE;
}
bool success = true;
// vpStatisticalTestEWMA tests
{
if (opt_verbose) {
std::cout << "------ vpStatisticalTestEWMA tests ------" << std::endl;
}
const float alpha = 0.1f;
vpStatisticalTestEWMA tester(alpha);
// ---- Upward drift test ----
{
tester.init(alpha, opt_mean, opt_stdev);
// w(t = 1) >= mu + 3 sigma sqrt(alpha / (2 - alpha))
// <=> alpha s(t=1) + (1 - alpha) mu >= mu + 3 sigma sqrt(alpha / (2 - alpha))
// <=> s(t=1) >= (1 / alpha) (alpha mu + 3 sigma sqrt(alpha / (2 - alpha))
float signal = (1.f / alpha) * (alpha * opt_mean + 3.f * opt_stdev * std::sqrt(alpha / (2.f - alpha)));
signal += 0.5f; // To be sure we are greater than the threshold
vpStatisticalTestAbstract::vpMeanDriftType drift = tester.testDownUpwardMeanDrift(signal);
if (drift != vpStatisticalTestAbstract::MEAN_DRIFT_UPWARD) {
success = false;
if (opt_verbose) {
std::cerr << "Upward drift test failed: " << std::endl;
std::cerr << "\tw(t) = " << tester.getWt() << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\tlimit_up = " << limitUp << std::endl;
}
}
else if (opt_verbose) {
std::cout << "Upward drift test succeeded." << std::endl;
}
}
// ---- Downward drift test ----
{
tester.init(alpha, opt_mean, opt_stdev);
// w(t = 1) <= mu - 3 sigma sqrt(alpha / (2 - alpha))
// <=> alpha s(t=1) + (1 - alpha) mu <= mu - 3 sigma sqrt(alpha / (2 - alpha))
// <=> s(t=1) <= (1 / alpha) (alpha mu - 3 sigma sqrt(alpha / (2 - alpha))
float signal = (1.f / alpha) * (alpha * opt_mean - 3.f * opt_stdev * std::sqrt(alpha / (2.f - alpha)));
signal -= 0.5f; // To be sure we are greater than the threshold
vpStatisticalTestAbstract::vpMeanDriftType drift = tester.testDownUpwardMeanDrift(signal);
if (drift != vpStatisticalTestAbstract::MEAN_DRIFT_DOWNWARD) {
success = false;
if (opt_verbose) {
std::cerr << "Downward drift test failed: " << std::endl;
std::cerr << "\tw(t) = " << tester.getWt() << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\tlimit_down = " << limitDown << std::endl;
}
}
else if (opt_verbose) {
std::cout << "Downward drift test succeeded." << std::endl;
}
}
}
// vpStatisticalTestHinkley tests
{
if (opt_verbose) {
std::cout << "------ vpStatisticalTestHinkley tests ------" << std::endl;
}
const float h = 4.76f, k = 1.f;
vpStatisticalTestHinkley tester(h, k, opt_mean, opt_stdev);
const unsigned int HINKLEY_NB_DATA = 4;
const float HINKLEY_SAMPLE = 2.f * opt_stdev;
// Hinkley's test upward drift
{
const float HINKLEY_DATA[HINKLEY_NB_DATA] = { HINKLEY_SAMPLE, HINKLEY_SAMPLE, HINKLEY_SAMPLE, HINKLEY_SAMPLE };
const vpStatisticalTestAbstract::vpMeanDriftType HINKLEY_EXPECTED_RES[HINKLEY_NB_DATA] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_UPWARD };
bool isTestOk = true;
unsigned int id = 0;
vpStatisticalTestAbstract::vpMeanDriftType drift;
while ((id < HINKLEY_NB_DATA) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(HINKLEY_DATA[id]);
isTestOk = (drift == HINKLEY_EXPECTED_RES[id]);
if (isTestOk) {
++id;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "Upward drift test failed: " << std::endl;
float Tk = tester.getTk(), Nk = tester.getNk();
std::cerr << "T(k) = " << Tk << " | N(k) = " << Nk << " => S+(k) = " << Tk - Nk << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "lim_+ = " << limitUp << std::endl;
std::cerr << "drift type : " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "expected drift type : " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(HINKLEY_EXPECTED_RES[id]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "Upward drift test succeeded." << std::endl;
}
}
// Hinkley's test downward drift
{
const float HINKLEY_DATA[HINKLEY_NB_DATA] = { -1.f * HINKLEY_SAMPLE, -1.f * HINKLEY_SAMPLE, -1.f * HINKLEY_SAMPLE, -1.f * HINKLEY_SAMPLE };
const vpStatisticalTestAbstract::vpMeanDriftType HINKLEY_EXPECTED_RES[HINKLEY_NB_DATA] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_DOWNWARD };
bool isTestOk = true;
unsigned int id = 0;
vpStatisticalTestAbstract::vpMeanDriftType drift;
while ((id < HINKLEY_NB_DATA) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(HINKLEY_DATA[id]);
isTestOk = (drift == HINKLEY_EXPECTED_RES[id]);
if (isTestOk) {
++id;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "Downward drift test failed: " << std::endl;
float Sk = tester.getSk(), Mk = tester.getMk();
std::cerr << "S(k) = " << Sk << " | M(k) = " << Mk << " => S+(k) = " << Mk - Sk << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "lim_- = " << limitDown << std::endl;
std::cerr << "drift type : " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "expected drift type : " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(HINKLEY_EXPECTED_RES[id]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "Downward drift test succeeded." << std::endl;
}
}
}
// vpStatisticalTestMeanAdjustedCUSUM tests
{
if (opt_verbose) {
std::cout << "------ vpStatisticalTestMeanAdjustedCUSUM tests ------" << std::endl;
}
const float h = 4.76f, k = 1.f;
vpStatisticalTestMeanAdjustedCUSUM tester(h, k);
tester.init(h, k, opt_mean, opt_stdev);
const unsigned int CUSUM_NB_DATA = 4;
const float CUSUM_SAMPLE = 2.f * opt_stdev;
// Mean adjusted CUSUM test upward drift
{
const float CUSUM_DATA[CUSUM_NB_DATA] = { CUSUM_SAMPLE, CUSUM_SAMPLE, CUSUM_SAMPLE, CUSUM_SAMPLE };
const vpStatisticalTestAbstract::vpMeanDriftType CUSUM_EXPECTED_RES[CUSUM_NB_DATA] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_UPWARD };
bool isTestOk = true;
unsigned int id = 0;
vpStatisticalTestAbstract::vpMeanDriftType drift;
while ((id < CUSUM_NB_DATA) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(CUSUM_DATA[id]);
isTestOk = (drift == CUSUM_EXPECTED_RES[id]);
if (isTestOk) {
++id;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "Upward drift test failed: " << std::endl;
std::cerr << "\tS+(k) = " << tester.getTestSignalPlus() << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\tlim_+ = " << limitUp << std::endl;
std::cerr << "\tdrift type : " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\texpected drift type : " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(CUSUM_EXPECTED_RES[id]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "Upward drift test succeeded." << std::endl;
}
}
// Mean adjusted CUSUM test upward drift
{
const float CUSUM_DATA[CUSUM_NB_DATA] = { -1.f * CUSUM_SAMPLE, -1.f * CUSUM_SAMPLE, -1.f * CUSUM_SAMPLE, -1.f * CUSUM_SAMPLE };
const vpStatisticalTestAbstract::vpMeanDriftType CUSUM_EXPECTED_RES[CUSUM_NB_DATA] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_DOWNWARD };
bool isTestOk = true;
unsigned int id = 0;
vpStatisticalTestAbstract::vpMeanDriftType drift;
while ((id < CUSUM_NB_DATA) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(CUSUM_DATA[id]);
isTestOk = (drift == CUSUM_EXPECTED_RES[id]);
if (isTestOk) {
++id;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "Downward drift test failed: " << std::endl;
std::cerr << "\tS-(k) = " << tester.getTestSignalMinus() << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\tlim_- = " << limitDown << std::endl;
std::cerr << "\tdrift type : " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\texpected drift type : " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(CUSUM_EXPECTED_RES[id]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "Downward drift test succeeded." << std::endl;
}
}
}
// vpStatisticalTestShewhart tests
{
if (opt_verbose) {
std::cout << "------ vpStatisticalTestShewhart tests ------" << std::endl;
}
const bool activateWECOrules = true;
vpStatisticalTestShewhart tester(activateWECOrules, vpStatisticalTestShewhart::CONST_ALL_WECO_ACTIVATED, opt_mean, opt_stdev);
// Upward drift test
{
if (opt_verbose) {
std::cout << "Upward drift tests" << std::endl;
}
// 3-sigma test
{
bool isInitOK = initializeShewhartTest(opt_mean, opt_stdev, opt_verbose, "3-sigma", tester);
if (!isInitOK) {
success = false;
}
else {
const float signal = 3.5f * opt_stdev;
vpStatisticalTestAbstract::vpMeanDriftType drift = tester.testDownUpwardMeanDrift(signal);
vpStatisticalTestShewhart::vpWecoRulesAlarm alarm = tester.getAlarm();
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT = vpStatisticalTestAbstract::MEAN_DRIFT_UPWARD;
const vpStatisticalTestShewhart::vpWecoRulesAlarm EXPECTED_ALARM = vpStatisticalTestShewhart::THREE_SIGMA_WECO;
if ((drift != EXPECTED_DRIFT) || (alarm != EXPECTED_ALARM)) {
success = false;
if (opt_verbose) {
std::cerr << "\t3-sigma test failed: " << std::endl;
std::vector<float> s = tester.getSignals();
std::cerr << "\t\ts(t) = [ ";
for (size_t i = 0; i < s.size(); ++i) {
std::cerr << s[i] << " ";
}
std::cerr << "]" << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT) << std::endl;
std::cerr << "\t\tdetected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(alarm) << std::endl;
std::cerr << "\t\texpected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(EXPECTED_ALARM) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "\t3-sigma test succeeded " << std::endl;
}
}
}
// 2-sigma test
{
bool isInitOK = initializeShewhartTest(opt_mean, opt_stdev, opt_verbose, "2-sigma", tester);
if (!isInitOK) {
success = false;
}
else {
const unsigned int NB_SAMPLES = 3;
const float DATA[NB_SAMPLES] = { 2.75f * opt_stdev, 1.5f * opt_stdev, 2.5f * opt_stdev };
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT[NB_SAMPLES] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_UPWARD };
const vpStatisticalTestShewhart::vpWecoRulesAlarm EXPECTED_ALARM[NB_SAMPLES] = { vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::TWO_SIGMA_WECO };
vpStatisticalTestAbstract::vpMeanDriftType drift;
vpStatisticalTestShewhart::vpWecoRulesAlarm alarm = tester.getAlarm();
unsigned int i = 0;
bool isTestOk = true;
while ((i < NB_SAMPLES) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(DATA[i]);
alarm = tester.getAlarm();
isTestOk = ((drift == EXPECTED_DRIFT[i]) && (alarm == EXPECTED_ALARM[i]));
if (isTestOk) {
++i;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "\t2-sigma test failed: " << std::endl;
std::vector<float> s = tester.getSignals();
std::cerr << "\t\ts(t) = [ ";
for (size_t j = 0; j < s.size(); ++j) {
std::cerr << s[j] << " ";
}
std::cerr << "]" << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT[i]) << std::endl;
std::cerr << "\t\tdetected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(alarm) << std::endl;
std::cerr << "\t\texpected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(EXPECTED_ALARM[i]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "\t2-sigma test succeeded " << std::endl;
}
}
}
// 1-sigma test
{
bool isInitOK = initializeShewhartTest(opt_mean, opt_stdev, opt_verbose, "1-sigma", tester);
if (!isInitOK) {
success = false;
}
else {
const unsigned int NB_SAMPLES = 5;
const float DATA[NB_SAMPLES] = { 2.75f * opt_stdev, 1.5f * opt_stdev, 0.5f * opt_stdev, 1.5f * opt_stdev, 2.5f * opt_stdev };
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT[NB_SAMPLES] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_UPWARD };
const vpStatisticalTestShewhart::vpWecoRulesAlarm EXPECTED_ALARM[NB_SAMPLES] = { vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::ONE_SIGMA_WECO };
vpStatisticalTestAbstract::vpMeanDriftType drift;
vpStatisticalTestShewhart::vpWecoRulesAlarm alarm = tester.getAlarm();
unsigned int i = 0;
bool isTestOk = true;
while ((i < NB_SAMPLES) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(DATA[i]);
alarm = tester.getAlarm();
isTestOk = ((drift == EXPECTED_DRIFT[i]) && (alarm == EXPECTED_ALARM[i]));
if (isTestOk) {
++i;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "\t1-sigma test failed: " << std::endl;
std::vector<float> s = tester.getSignals();
std::cerr << "\t\ts(t) = [ ";
for (size_t j = 0; j < s.size(); ++j) {
std::cerr << s[j] << " ";
}
std::cerr << "]" << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT[i]) << std::endl;
std::cerr << "\t\tdetected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(alarm) << std::endl;
std::cerr << "\t\texpected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(EXPECTED_ALARM[i]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "\t1-sigma test succeeded " << std::endl;
}
}
}
// Same-side test
{
bool isInitOK = initializeShewhartTest(opt_mean, opt_stdev, opt_verbose, "Same-side", tester);
if (!isInitOK) {
success = false;
}
else {
const unsigned int NB_SAMPLES = 8;
const float DATA[NB_SAMPLES] = { 2.75f * opt_stdev, 0.5f * opt_stdev, 1.5f * opt_stdev, 0.5f * opt_stdev, 2.75f * opt_stdev, 0.5f * opt_stdev, 1.5f * opt_stdev, 0.5f * opt_stdev };
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT[NB_SAMPLES] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_UPWARD };
const vpStatisticalTestShewhart::vpWecoRulesAlarm EXPECTED_ALARM[NB_SAMPLES] = { vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::SAME_SIDE_WECO };
vpStatisticalTestAbstract::vpMeanDriftType drift;
vpStatisticalTestShewhart::vpWecoRulesAlarm alarm = tester.getAlarm();
unsigned int i = 0;
bool isTestOk = true;
while ((i < NB_SAMPLES) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(DATA[i]);
alarm = tester.getAlarm();
isTestOk = ((drift == EXPECTED_DRIFT[i]) && (alarm == EXPECTED_ALARM[i]));
if (isTestOk) {
++i;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "\tSame-side test failed: " << std::endl;
std::vector<float> s = tester.getSignals();
std::cerr << "\t\ts(t) = [ ";
for (size_t j = 0; j < s.size(); ++j) {
std::cerr << s[j] << " ";
}
std::cerr << "]" << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT[i]) << std::endl;
std::cerr << "\t\tdetected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(alarm) << std::endl;
std::cerr << "\t\texpected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(EXPECTED_ALARM[i]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "\tSame-side test succeeded " << std::endl;
}
}
}
}
// Downward drift test
{
if (opt_verbose) {
std::cout << "Downward drift tests" << std::endl;
}
// 3-sigma test
{
bool isInitOK = initializeShewhartTest(opt_mean, opt_stdev, opt_verbose, "3-sigma", tester);
if (!isInitOK) {
success = false;
}
else {
const float signal = -3.5f * opt_stdev;
vpStatisticalTestAbstract::vpMeanDriftType drift = tester.testDownUpwardMeanDrift(signal);
vpStatisticalTestShewhart::vpWecoRulesAlarm alarm = tester.getAlarm();
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT = vpStatisticalTestAbstract::MEAN_DRIFT_DOWNWARD;
const vpStatisticalTestShewhart::vpWecoRulesAlarm EXPECTED_ALARM = vpStatisticalTestShewhart::THREE_SIGMA_WECO;
if ((drift != EXPECTED_DRIFT) || (alarm != EXPECTED_ALARM)) {
success = false;
if (opt_verbose) {
std::cerr << "\t3-sigma test failed: " << std::endl;
std::vector<float> s = tester.getSignals();
std::cerr << "\t\ts(t) = [ ";
for (size_t j = 0; j < s.size(); ++j) {
std::cerr << s[j] << " ";
}
std::cerr << "]" << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_- = " << limitDown << std::endl;
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT) << std::endl;
std::cerr << "\t\tdetected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(alarm) << std::endl;
std::cerr << "\t\texpected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(EXPECTED_ALARM) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "\t3-sigma test succeeded " << std::endl;
}
}
}
// 2-sigma test
{
bool isInitOK = initializeShewhartTest(opt_mean, opt_stdev, opt_verbose, "2-sigma", tester);
if (!isInitOK) {
success = false;
}
else {
const unsigned int NB_SAMPLES = 3;
const float DATA[NB_SAMPLES] = { -2.75f * opt_stdev, -1.5f * opt_stdev, -2.5f * opt_stdev };
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT[NB_SAMPLES] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_DOWNWARD };
const vpStatisticalTestShewhart::vpWecoRulesAlarm EXPECTED_ALARM[NB_SAMPLES] = { vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::TWO_SIGMA_WECO };
vpStatisticalTestAbstract::vpMeanDriftType drift;
vpStatisticalTestShewhart::vpWecoRulesAlarm alarm = tester.getAlarm();
unsigned int i = 0;
bool isTestOk = true;
while ((i < NB_SAMPLES) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(DATA[i]);
alarm = tester.getAlarm();
isTestOk = ((drift == EXPECTED_DRIFT[i]) && (alarm == EXPECTED_ALARM[i]));
if (isTestOk) {
++i;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "\t2-sigma test failed: " << std::endl;
std::vector<float> s = tester.getSignals();
std::cerr << "\t\ts(t) = [ ";
for (size_t j = 0; j < s.size(); ++j) {
std::cerr << s[j] << " ";
}
std::cerr << "]" << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_- = " << limitDown << std::endl;
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT[i]) << std::endl;
std::cerr << "\t\tdetected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(alarm) << std::endl;
std::cerr << "\t\texpected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(EXPECTED_ALARM[i]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "\t2-sigma test succeeded " << std::endl;
}
}
}
// 1-sigma test
{
bool isInitOK = initializeShewhartTest(opt_mean, opt_stdev, opt_verbose, "1-sigma", tester);
if (!isInitOK) {
success = false;
}
else {
const unsigned int NB_SAMPLES = 5;
const float DATA[NB_SAMPLES] = { -2.75f * opt_stdev, -1.5f * opt_stdev, 1.5f * opt_stdev, -1.5f * opt_stdev, -2.5f * opt_stdev };
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT[NB_SAMPLES] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_DOWNWARD };
const vpStatisticalTestShewhart::vpWecoRulesAlarm EXPECTED_ALARM[NB_SAMPLES] = { vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::ONE_SIGMA_WECO };
vpStatisticalTestAbstract::vpMeanDriftType drift;
vpStatisticalTestShewhart::vpWecoRulesAlarm alarm = tester.getAlarm();
unsigned int i = 0;
bool isTestOk = true;
while ((i < NB_SAMPLES) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(DATA[i]);
alarm = tester.getAlarm();
isTestOk = ((drift == EXPECTED_DRIFT[i]) && (alarm == EXPECTED_ALARM[i]));
if (isTestOk) {
++i;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "\t1-sigma test failed: " << std::endl;
std::vector<float> s = tester.getSignals();
std::cerr << "\t\ts(t) = [ ";
for (size_t j = 0; j < s.size(); ++j) {
std::cerr << s[j] << " ";
}
std::cerr << "]" << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_- = " << limitDown << std::endl;
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT[i]) << std::endl;
std::cerr << "\t\tdetected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(alarm) << std::endl;
std::cerr << "\t\texpected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(EXPECTED_ALARM[i]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "\t1-sigma test succeeded " << std::endl;
}
}
}
// Same-side test
{
bool isInitOK = initializeShewhartTest(opt_mean, opt_stdev, opt_verbose, "Same-side", tester);
if (!isInitOK) {
success = false;
}
else {
const unsigned int NB_SAMPLES = 8;
const float DATA[NB_SAMPLES] = { -2.75f * opt_stdev, -0.5f * opt_stdev, -1.5f * opt_stdev, -0.5f * opt_stdev, -2.75f * opt_stdev, -0.5f * opt_stdev, -1.5f * opt_stdev, -0.5f * opt_stdev };
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT[NB_SAMPLES] = { vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_NONE, vpStatisticalTestAbstract::MEAN_DRIFT_DOWNWARD };
const vpStatisticalTestShewhart::vpWecoRulesAlarm EXPECTED_ALARM[NB_SAMPLES] = { vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::NONE_WECO, vpStatisticalTestShewhart::SAME_SIDE_WECO };
vpStatisticalTestAbstract::vpMeanDriftType drift;
vpStatisticalTestShewhart::vpWecoRulesAlarm alarm = tester.getAlarm();
unsigned int i = 0;
bool isTestOk = true;
while ((i < NB_SAMPLES) && isTestOk) {
drift = tester.testDownUpwardMeanDrift(DATA[i]);
alarm = tester.getAlarm();
isTestOk = ((drift == EXPECTED_DRIFT[i]) && (alarm == EXPECTED_ALARM[i]));
if (isTestOk) {
++i;
}
}
if (!isTestOk) {
success = false;
if (opt_verbose) {
std::cerr << "\tSame-side test failed: " << std::endl;
std::vector<float> s = tester.getSignals();
std::cerr << "\t\ts(t) = [ ";
for (size_t j = 0; j < s.size(); ++j) {
std::cerr << s[j] << " ";
}
std::cerr << "]" << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\t\tlim_+ = " << limitUp << std::endl;
std::cerr << "\t\tlim_- = " << limitDown << std::endl;
std::cerr << "\t\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\t\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT[i]) << std::endl;
std::cerr << "\t\tdetected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(alarm) << std::endl;
std::cerr << "\t\texpected alarm = " << vpStatisticalTestShewhart::vpWecoRulesAlarmToString(EXPECTED_ALARM[i]) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "\tSame-side test succeeded " << std::endl;
}
}
}
}
}
// vpStatisticalTestSigma tests
{
if (opt_verbose) {
std::cout << "------ vpStatisticalTestSigma tests ------" << std::endl;
}
const float h = 3.f;
vpStatisticalTestSigma tester(h, opt_mean, opt_stdev);
// Upward drift test
{
const float signal = 3.5f * opt_stdev;
vpStatisticalTestAbstract::vpMeanDriftType drift = tester.testDownUpwardMeanDrift(signal);
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT = vpStatisticalTestAbstract::MEAN_DRIFT_UPWARD;
if (drift != EXPECTED_DRIFT) {
success = false;
if (opt_verbose) {
std::cerr << "Upward drift test failed: " << std::endl;
std::cerr << "\ts(t) = " << tester.getSignal() << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\tlim_+ = " << limitUp << std::endl;
std::cerr << "\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "Upward drift test succeeded " << std::endl;
}
}
// Downward drift test
{
const float signal = -3.5f * opt_stdev;
vpStatisticalTestAbstract::vpMeanDriftType drift = tester.testDownUpwardMeanDrift(signal);
const vpStatisticalTestAbstract::vpMeanDriftType EXPECTED_DRIFT = vpStatisticalTestAbstract::MEAN_DRIFT_DOWNWARD;
if (drift != EXPECTED_DRIFT) {
success = false;
if (opt_verbose) {
std::cerr << "Downward drift test failed: " << std::endl;
std::cerr << "\ts(t) = " << tester.getSignal() << std::endl;
float limitDown = 0.f, limitUp = 0.f;
tester.getLimits(limitDown, limitUp);
std::cerr << "\tlim_- = " << limitDown << std::endl;
std::cerr << "\tdetected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(drift) << std::endl;
std::cerr << "\texpected drift = " << vpStatisticalTestAbstract::vpMeanDriftTypeToString(EXPECTED_DRIFT) << std::endl;
}
}
else if (opt_verbose) {
std::cout << "Downward drift test succeeded " << std::endl;
}
}
}
if (success) {
std::cout << "Test succeed" << std::endl;
}
else {
std::cout << "Test failed" << std::endl;
return EXIT_FAILURE;
}
return EXIT_SUCCESS;
}
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