test_search_min.cpp

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/**
 * @file test_search_min.c
 * Tests arithmetic search algorithms.
 */

#include <unit_test.h>
#include <float.h>
#include <math.h>

#include <mathlib/math/SearchMin.hpp>

// linear function
float _linear_function(float x)
{
    float slope = 2.0f;
    return slope * x - 1.4f;

}

//linear function without slope
float _linear_function_flat(float x)
{
    return 1.4f;
}

// quadratic function with min at 2
float _quadratic_function(float x)
{
    return ((x - 2.0f) * (x - 2.0f) + 3.0f);
}

class SearchMinTest : public UnitTest
{
public:
    virtual bool run_tests();

private:
    bool _init_inputs();
    bool _init_inputs_flipped();
    bool _init_inputs_negative();
    bool _init_tol_larger_than_range();
    bool _init_tol_larger_than_range_flipped();
    bool _no_extremum();

};


bool SearchMinTest::run_tests()
{
    ut_run_test(_init_inputs);
    ut_run_test(_init_inputs_flipped);
    ut_run_test(_init_inputs_negative);
    ut_run_test(_init_tol_larger_than_range);
    ut_run_test(_init_tol_larger_than_range_flipped);
    ut_run_test(_no_extremum);

    return (_tests_failed == 0);
}

bool SearchMinTest::_init_inputs()
{
    float a = 1.0f;
    float b = 4.0f;
    float tol = 0.001f;
    float (*fun)(float);
    float (*fun2)(float);

    fun = &_linear_function;
    fun2 = &_quadratic_function;

    float opt = math::goldensection(a, b, fun, tol);
    float opt2 = math::goldensection(a, b, fun2, tol);
    ut_assert("linear function opt not equal min ", fabsf(opt - a) <= (tol * 2.0f));
    ut_assert("quad function opt not equal min ", fabsf(opt2 - 2.0f) <= (tol * 2.0f));

    return true;
}

bool SearchMinTest::_init_inputs_flipped()
{
    float a = 4.0f;
    float b = 1.0f;
    float tol = 0.001f;
    float (*fun)(float);
    float (*fun2)(float);

    fun = &_linear_function;
    fun2 = &_quadratic_function;

    float opt = math::goldensection(a, b, fun, tol);
    float opt2 = math::goldensection(a, b, fun2, tol);

    ut_assert("linear function opt not equal min", fabsf(opt - b) <= (tol * 2.0f));
    ut_assert("quad function opt not equal min ", fabsf(opt2 - 2.0f) <= (tol * 2.0f));

    return true;
}

bool SearchMinTest::_init_inputs_negative()
{
    float a = -4.0f;
    float b = -2.0f;
    float tol = 0.001f;
    float (*fun)(float);
    float (*fun2)(float);

    fun = &_linear_function;
    fun2 = &_quadratic_function;

    float opt = math::goldensection(a, b, fun, tol);
    float opt2 = math::goldensection(a, b, fun2, tol);

    ut_assert("linear function opt not equal min", fabsf(opt - a) <= (tol * 2.0f));
    ut_assert("quad function opt not equal min ", fabsf(opt2 - b) <= (tol * 2.0f));

    return true;
}

bool SearchMinTest::_init_tol_larger_than_range()
{
    float a = 1.0f;
    float b = 4.0f;
    float tol = 6.0f;
    float (*fun)(float);
    float (*fun2)(float);

    fun = &_linear_function;
    fun2 = &_quadratic_function;

    float opt = math::goldensection(a, b, fun, tol);
    float opt2 = math::goldensection(a, b, fun2, tol);

    ut_assert("linear function opt not equal min", fabsf(opt - (b + a) / 2.0f) <= (0.001f * 2.0f));
    ut_assert("quad function opt not equal min ", fabsf(opt2 - (b + a) / 2.0f) <= (0.001f * 2.0f));

    return true;
}

bool SearchMinTest::_init_tol_larger_than_range_flipped()
{
    float a = 4.0f;
    float b = 1.0f;
    float tol = 6.0f;
    float (*fun)(float);
    float (*fun2)(float);

    fun = &_linear_function;
    fun2 = &_quadratic_function;

    float opt = math::goldensection(a, b, fun, tol);
    float opt2 = math::goldensection(a, b, fun2, tol);

    ut_assert("linear function opt not equal min", fabsf(opt - (b + a) / 2.0f) <= (0.001f * 2.0f));
    ut_assert("quad function opt not equal min ", fabsf(opt2 - (b + a) / 2.0f) <= (0.001f * 2.0f));

    return true;
}

bool SearchMinTest::_no_extremum()
{
    float a = 1.f;
    float b = 4.0f;
    float tol = 0.001f;
    float (*fun)(float);
    fun = &_linear_function_flat;

    float opt = math::goldensection(a, b, fun, tol);
    ut_assert("linear function function opt not equal min", fabsf(fun(opt) - fun(b)) <= (tol));

    return true;
}

ut_declare_test_c(test_search_min, SearchMinTest)