libs/icl/test/test_interval_quantifier_shared.hpp

/*-----------------------------------------------------------------------------+    
Copyright (c) 2008-2009: Joachim Faulhaber
+------------------------------------------------------------------------------+
   Distributed under the Boost Software License, Version 1.0.
      (See accompanying file LICENCE.txt or copy at
           http://www.boost.org/LICENSE_1_0.txt)
+-----------------------------------------------------------------------------*/
#ifndef __TEST_INTERVAL_QUANTIFIER_SHARED_H_JOFA_090119__
#define __TEST_INTERVAL_QUANTIFIER_SHARED_H_JOFA_090119__

#include "portability.hpp"
    
template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void make_3_itv_maps_and_derivatives_1
                   (ICL_PORT_msvc_7_1_IntervalMap(T,U,Trt)& itv_map_a, 
                    ICL_PORT_msvc_7_1_IntervalMap(T,U,Trt)& itv_map_b, 
                    ICL_PORT_msvc_7_1_IntervalMap(T,U,Trt)& itv_map_c, 
                    typename ICL_PORT_msvc_7_1_IntervalMap(T,U,Trt)::interval_mapping_type& val_pair,
                    mapping_pair<T,U>& map_pair)
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;

    itv_map_a.add(IDv(3,6,1)).add(IIv(5,7,1));
    itv_map_b.add(CDv(1,3,1)).add(IDv(8,9,1));
    itv_map_c.add(IDv(0,9,2)).add(IIv(3,6,1)).add(IDv(5,7,1));

    val_pair = IDv(6,9,1);
    map_pair = K_v(5,1);
}


//------------------------------------------------------------------------------
// Monoid EAN
//------------------------------------------------------------------------------
template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_monoid_plus_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    CHECK_MONOID_INSTANCE_WRT(plus) (map_a, map_b, map_c, val_pair, map_pair);
    CHECK_MONOID_INSTANCE_WRT(pipe) (map_a, map_b, map_c, val_pair, map_pair);
}


template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_monoid_et_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    CHECK_MONOID_INSTANCE_WRT(et)   (map_a, map_b, map_c, val_pair, map_pair);
    CHECK_MONOID_INSTANCE_WRT(caret)(map_a, map_b, map_c, val_pair, map_pair);
}

//------------------------------------------------------------------------------
// Abelian monoid EANC
//------------------------------------------------------------------------------

template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_abelian_monoid_plus_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    CHECK_ABELIAN_MONOID_INSTANCE_WRT(plus) (map_a, map_b, map_c, val_pair, map_pair);
    CHECK_ABELIAN_MONOID_INSTANCE_WRT(pipe) (map_a, map_b, map_c, val_pair, map_pair);
}


template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_abelian_monoid_et_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    CHECK_ABELIAN_MONOID_INSTANCE_WRT(et)   (map_a, map_b, map_c, val_pair, map_pair);
    CHECK_ABELIAN_MONOID_INSTANCE_WRT(caret)(map_a, map_b, map_c, val_pair, map_pair);
}


//------------------------------------------------------------------------------
// Abelian partial invertive monoid 
//------------------------------------------------------------------------------
template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_partial_invertive_monoid_plus_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    CHECK_PARTIAL_INVERTIVE_MONOID_INSTANCE_WRT(plus) (map_a, map_b, map_c, val_pair, map_pair);
    CHECK_PARTIAL_INVERTIVE_MONOID_INSTANCE_WRT(pipe) (map_a, map_b, map_c, val_pair, map_pair);
}

//------------------------------------------------------------------------------
// Abelian partial invertive monoid with distinct equality for inversion
//------------------------------------------------------------------------------
template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_partial_invertive_monoid_plus_prot_inv_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    CHECK_ABELIAN_MONOID_INSTANCE_WRT(plus)(map_a, map_b, map_c, val_pair, map_pair);
    CHECK_ABELIAN_MONOID_INSTANCE_WRT(pipe)(map_a, map_b, map_c, val_pair, map_pair);

#if !defined(_MSC_VER) || (_MSC_VER >= 1400) // 1310==MSVC-7.1  1400 ==MSVC-8.0
    CHECK_PARTIAL_INVERTIVE_MONOID_INSTANCE_WRT_EQUAL(plus)(is_distinct_equal, map_a, map_b, map_c, val_pair, map_pair);
    CHECK_PARTIAL_INVERTIVE_MONOID_INSTANCE_WRT_EQUAL(pipe)(is_distinct_equal, map_a, map_b, map_c, val_pair, map_pair);
#endif
}


//------------------------------------------------------------------------------
// Abelian group EANIC
//------------------------------------------------------------------------------
template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_abelian_group_plus_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    CHECK_ABELIAN_GROUP_INSTANCE_WRT(plus) (map_a, map_b, map_c, val_pair, map_pair);
    CHECK_ABELIAN_GROUP_INSTANCE_WRT(pipe) (map_a, map_b, map_c, val_pair, map_pair);
}

//------------------------------------------------------------------------------
// (0 - x) + x =d= 0 
//------------------------------------------------------------------------------
template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_abelian_group_plus_prot_inv_4_bicremental_types()
{
    // check abelian group wrt. + and inverability wrt. distinct equality =d= :
    // (1) (IntervalMapT, +) is an abelian group and
    // (2) The inverability law: (0 - x) + x =d= 0 holds.
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    CHECK_ABELIAN_MONOID_INSTANCE_WRT(plus) (map_a, map_b, map_c, val_pair, map_pair);
    CHECK_ABELIAN_MONOID_INSTANCE_WRT(pipe) (map_a, map_b, map_c, val_pair, map_pair);

#if !defined(_MSC_VER) || (_MSC_VER >= 1400) // 1310==MSVC-7.1  1400 ==MSVC-8.0
    CHECK_ABELIAN_GROUP_INSTANCE_WRT_EQUAL(plus) (is_distinct_equal, map_a, map_b, map_c, val_pair, map_pair);
    CHECK_ABELIAN_GROUP_INSTANCE_WRT_EQUAL(pipe) (is_distinct_equal, map_a, map_b, map_c, val_pair, map_pair);
#endif
}


//------------------------------------------------------------------------------
// Inner complement
//------------------------------------------------------------------------------
template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_inner_complementarity_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    typedef typename IntervalMap<T,U,Trt>::set_type IntervalSetT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    has_inner_complementarity<IntervalMapT,IntervalSetT>(map_a);
    has_inner_complementarity<IntervalMapT,IntervalSetT>(map_b);
    has_inner_complementarity<IntervalMapT,IntervalSetT>(map_c);
}

template 
<
    class T, class U, class Trt, 
#if (defined(__GNUC__) && (__GNUC__ < 4)) //MEMO Can be simplified, if gcc-3.4 is obsolete
    ICL_IntervalMap_TEMPLATE(T,U,Traits,Trt) IntervalMap
#else
    ICL_IntervalMap_TEMPLATE(_T,_U,Traits,Trt) IntervalMap
#endif
>
void itv_quantifier_check_length_complementarity_4_bicremental_types()
{
    typedef IntervalMap<T,U,Trt> IntervalMapT;
    typedef typename IntervalMap<T,U,Trt>::set_type IntervalSetT;
    IntervalMapT map_a, map_b, map_c;
    typename IntervalMapT::interval_mapping_type val_pair;
    mapping_pair<T,U> map_pair;
    make_3_itv_maps_and_derivatives_1(map_a, map_b, map_c, val_pair, map_pair);

    has_length_complementarity(map_a);
    has_length_complementarity(map_b);
    has_length_complementarity(map_c);

    has_length_as_distance<IntervalMapT,IntervalSetT>(map_a);
    has_length_as_distance<IntervalMapT,IntervalSetT>(map_b);
    has_length_as_distance<IntervalMapT,IntervalSetT>(map_c);
}



#endif // __TEST_INTERVAL_QUANTIFIER_SHARED_H_JOFA_090119__