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/**
* @file indicators_test.cpp
* @author Nanubala Gnana Sai
*
* Test file for all the indicators: Epsilon, IGD+, IGD.
*
* ensmallen is free software; you may redistribute it and/or modify it under
* the terms of the 3-clause BSD license. You should have received a copy of
* the 3-clause BSD license along with ensmallen. If not, see
* http://www.opensource.org/licenses/BSD-3-Clause for more information.
*/
#include <ensmallen.hpp>
#include "catch.hpp"
using namespace ens;
using namespace ens::test;
/**
* Calculates the Epsilon performance indicator for the pair of fronts.
* Tests for data of type double.
* The reference numerical results have been taken from hand calculated values.
* Refer the IPynb notebook in https://github.com/mlpack/ensmallen/pull/285
* for more.
*/
TEST_CASE("EpsilonDoubleTest", "[IndicatorsTest]")
{
arma::cube referenceFront(2, 1, 3);
double tol = 1e-10;
referenceFront.slice(0) = arma::vec{0.01010101, 0.89949622};
referenceFront.slice(1) = arma::vec{0.02020202, 0.85786619};
referenceFront.slice(2) = arma::vec{0.03030303, 0.82592234};
arma::cube front = referenceFront * 1.1;
double eps = Epsilon::Evaluate(front, referenceFront);
REQUIRE(eps == Approx(1.1).margin(tol));
}
/**
* Calculates the Epsilon performance indicator for the pair of fronts.
* Tests for data of type float.
* The reference numerical results have been taken from hand calculated values.
* Refer the IPynb notebook in https://github.com/mlpack/ensmallen/pull/285
* for more.
*/
TEST_CASE("EpsilonFloatTest", "[IndicatorsTest]")
{
arma::fcube referenceFront(2, 1, 3);
float tol = 1e-10;
referenceFront.slice(0) = arma::fvec{0.01010101f, 0.89949622f};
referenceFront.slice(1) = arma::fvec{0.02020202f, 0.85786619f};
referenceFront.slice(2) = arma::fvec{0.03030303f, 0.82592234f};
arma::fcube front = referenceFront * 1.1;
double eps = Epsilon::Evaluate(front, referenceFront);
REQUIRE(eps == Approx(1.1).margin(tol));
}
/**
* Calculates the IGD performance indicator for the pair of fronts.
* Tests for data of type double.
* The reference numerical results have been taken from hand calculated values.
* Refer the IPynb notebook in https://github.com/mlpack/ensmallen/pull/
* for more.
*/
TEST_CASE("IGDDoubleTest", "[IndicatorsTest]")
{
arma::cube referenceFront(2, 1, 3);
double tol = 1e-10;
referenceFront.slice(0) = arma::vec{0.11111111, 0.75039705};
referenceFront.slice(1) = arma::vec{0.22222222, 0.60558677};
referenceFront.slice(2) = arma::vec{0.33333333, 0.49446993};
arma::cube front = referenceFront * 1.1;
double igd = IGD::Evaluate(front, referenceFront, 1);
REQUIRE(igd == Approx(0.06666608265617857).margin(tol));
}
/**
* Calculates the IGD performance indicator for the pair of fronts.
* Tests for data of type float.
* The reference numerical results have been taken from hand calculated values.
* Refer the IPynb notebook in https://github.com/mlpack/ensmallen/pull/399
* for more.
*/
TEST_CASE("IGDFloatTest", "[IndicatorsTest]")
{
arma::fcube referenceFront(2, 1, 3);
float tol = 1e-10;
referenceFront.slice(0) = arma::fvec{0.11111111f, 0.75039705f};
referenceFront.slice(1) = arma::fvec{0.22222222f, 0.60558677f};
referenceFront.slice(2) = arma::fvec{0.33333333f, 0.49446993f};
arma::fcube front = referenceFront * 1.1;
float igd = IGD::Evaluate(front, referenceFront, 1);
REQUIRE(igd == Approx(0.06666608265617857).margin(tol));
}
/**
* Calculates the IGD+ performance indicator for the pair of fronts.
* Tests for data of type double.
* The reference numerical results have been taken from hand calculated values.
* Refer the IPynb notebook in https://github.com/mlpack/ensmallen/pull/399
* for more.
*/
TEST_CASE("IGDPlusDoubleTest", "[IndicatorsTest]")
{
arma::cube referenceFront(2, 1, 3);
double tol = 1e-10;
referenceFront.slice(0) = arma::vec{0.01010101, 0.89949622};
referenceFront.slice(1) = arma::vec{0.02020202, 0.85786619};
referenceFront.slice(2) = arma::vec{0.03030303, 0.82592234};
arma::cube front = referenceFront * 1.1;
double igdPlus = IGDPlus::Evaluate(front, referenceFront);
REQUIRE(igdPlus == Approx(0.05329735411078149).margin(tol));
}
/**
* Calculates the IGD+ performance indicator for the pair of fronts.
* Tests for data of type float.
* The reference numerical results have been taken from hand calculated values.
* Refer the IPynb notebook in https://github.com/mlpack/ensmallen/pull/285
* for more.
*/
TEST_CASE("IGDPlusFloatTest", "[IndicatorsTest]")
{
arma::fcube referenceFront(2, 1, 3);
float tol = 1e-10;
referenceFront.slice(0) = arma::fvec{0.01010101f, 0.89949622f};
referenceFront.slice(1) = arma::fvec{0.02020202f, 0.85786619f};
referenceFront.slice(2) = arma::fvec{0.03030303f, 0.82592234f};
arma::fcube front = referenceFront * 1.1;
float igdPlus = IGDPlus::Evaluate(front, referenceFront);
REQUIRE(igdPlus == Approx(0.05329735411078149).margin(tol));
}
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