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- /*-----------------------------------------------------------------------------+
- Copyright (c) 2008-2010: 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 BOOST_LIBS_ICL_TEST_ICL_LAWS_HPP_JOFA_090119
- #define BOOST_LIBS_ICL_TEST_ICL_LAWS_HPP_JOFA_090119
- #include <boost/icl/type_traits/identity_element.hpp>
- #include <boost/icl/associative_interval_container.hpp>
- namespace boost{namespace icl
- {
- template<class Type>
- struct equality
- {
- typedef Type first_argument_type;
- typedef Type second_argument_type;
- typedef bool result_type;
- typedef bool (type)(const Type&, const Type&);
- };
- //------------------------------------------------------------------------------
- // Associativity
- //------------------------------------------------------------------------------
- // The definition of a boost test via a macro, that allows to be instantiated for
- // different operator signs 'op_sign'. For every 'op_sign' a separate function
- // template is generated by appending the suffic 'op_tag' to the function
- // name.
- // So this is the function template via macro that checks the law
- // associativity for an operator 'op_sign'
- #define DEFINE_ASSOCIATIVITY_CHECK_WRT(op_tag, op_sign) \
- template<class Type, class TypeB, class TypeC> \
- void check_associativity_wrt_##op_tag(const Type& a, const TypeB& b, const TypeC& c) \
- { \
- Type left = (a op_sign b) op_sign c; \
- Type right = a op_sign (b op_sign c); \
- BOOST_CHECK(left==right); \
- }
- #define DEFINE_ASSOCIATIVITY_CHECK_WRT_EQUAL(op_tag, op_sign) \
- template<class Type, class TypeB, class TypeC> \
- void check_associativity_wrt_equal_##op_tag \
- (typename equality<Type>::type* equal, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- Type left = (a op_sign b) op_sign c; \
- Type right = a op_sign (b op_sign c); \
- BOOST_CHECK((*equal)(left,right)); \
- }
- // Here we define the call of the test function thats definition
- // template has been generated by the macro above.
- #define CHECK_ASSOCIATIVITY_WRT(op_tag) check_associativity_wrt_##op_tag
- #define CHECK_ASSOCIATIVITY_WRT_EQUAL(op_tag) check_associativity_wrt_equal_##op_tag
- // Here we actually generate function templates by calling the defining
- // macros.
- DEFINE_ASSOCIATIVITY_CHECK_WRT (plus, + )
- DEFINE_ASSOCIATIVITY_CHECK_WRT_EQUAL(plus, + )
- DEFINE_ASSOCIATIVITY_CHECK_WRT (pipe, | )
- DEFINE_ASSOCIATIVITY_CHECK_WRT_EQUAL(pipe, | )
- DEFINE_ASSOCIATIVITY_CHECK_WRT (et, & )
- DEFINE_ASSOCIATIVITY_CHECK_WRT_EQUAL(et, & )
- DEFINE_ASSOCIATIVITY_CHECK_WRT (caret, ^ )
- DEFINE_ASSOCIATIVITY_CHECK_WRT_EQUAL(caret, ^ )
- //------------------------------------------------------------------------------
- // Neutrality
- //------------------------------------------------------------------------------
- #define DEFINE_RIGHT_NEUTRALITY_CHECK_WRT_EQUAL(op_tag, op_sign) \
- template<class Type> \
- void check_right_neutrality_wrt_equal_##op_tag \
- (typename equality<Type>::type* equal, const Type& a, const Type& identity_element) \
- { \
- Type left = a op_sign identity_element; \
- Type right = identity_element; \
- BOOST_CHECK((*equal)(left,right)); \
- }
- #define DEFINE_RIGHT_NEUTRALITY_CHECK_WRT(op_tag, op_sign) \
- template<class Type> \
- void check_right_neutrality_wrt_##op_tag \
- (typename equality<Type>::type* equal, const Type& a, const Type& identity_element) \
- { \
- Type left = a op_sign identity_element; \
- Type right = identity_element; \
- BOOST_CHECK(left==right); \
- }
- #define DEFINE_NEUTRALITY_CHECK_WRT_EQUAL(op_tag, op_sign) \
- template<class Type> \
- void check_neutrality_wrt_equal_##op_tag \
- (typename equality<Type>::type* equal, const Type& a, const Type& identity_element) \
- { \
- Type left = a op_sign identity_element; \
- Type right = identity_element op_sign a; \
- BOOST_CHECK((*equal)(left,right)); \
- }
- #define DEFINE_NEUTRALITY_CHECK_WRT(op_tag, op_sign) \
- template<class Type> \
- void check_neutrality_wrt_##op_tag \
- (const Type& a, const Type& identity_element) \
- { \
- Type left = a op_sign identity_element; \
- Type right = identity_element op_sign a; \
- BOOST_CHECK(left==right); \
- }
- #define CHECK_NEUTRALITY_WRT(op_tag) check_neutrality_wrt_##op_tag
- #define CHECK_NEUTRALITY_WRT_EQUAL(op_tag) check_neutrality_wrt_equal_##op_tag
- DEFINE_NEUTRALITY_CHECK_WRT (plus, + )
- DEFINE_NEUTRALITY_CHECK_WRT_EQUAL(plus, + )
- DEFINE_NEUTRALITY_CHECK_WRT (pipe, | )
- DEFINE_NEUTRALITY_CHECK_WRT_EQUAL(pipe, | )
- DEFINE_NEUTRALITY_CHECK_WRT (minus, - )
- DEFINE_NEUTRALITY_CHECK_WRT_EQUAL(minus, - )
- DEFINE_NEUTRALITY_CHECK_WRT (et, & )
- DEFINE_NEUTRALITY_CHECK_WRT_EQUAL(et, & )
- DEFINE_NEUTRALITY_CHECK_WRT (caret, ^ )
- DEFINE_NEUTRALITY_CHECK_WRT_EQUAL(caret, ^ )
- //------------------------------------------------------------------------------
- // Commutativity
- //------------------------------------------------------------------------------
- #define DEFINE_COMMUTATIVITY_CHECK_WRT_EQUAL(op_tag, op_sign) \
- template<class Type, class TypeB> \
- void check_commutativity_wrt_equal_##op_tag \
- (typename equality<Type>::type* equal, const Type& a, const TypeB& b) \
- { \
- Type left = a op_sign b; \
- Type right = b op_sign a; \
- BOOST_CHECK((*equal)(left,right)); \
- }
- #define DEFINE_COMMUTATIVITY_CHECK_WRT(op_tag, op_sign) \
- template<class Type, class TypeB> \
- void check_commutativity_wrt_##op_tag(const Type& a, const TypeB& b) \
- { \
- Type left = a op_sign b; \
- Type right = b op_sign a; \
- BOOST_CHECK(left==right); \
- }
- #define CHECK_COMMUTATIVITY_WRT_EQUAL(op_tag) check_commutativity_wrt_equal_##op_tag
- #define CHECK_COMMUTATIVITY_WRT(op_tag) check_commutativity_wrt_##op_tag
- DEFINE_COMMUTATIVITY_CHECK_WRT (plus, + )
- DEFINE_COMMUTATIVITY_CHECK_WRT_EQUAL(plus, + )
- DEFINE_COMMUTATIVITY_CHECK_WRT (pipe, | )
- DEFINE_COMMUTATIVITY_CHECK_WRT_EQUAL(pipe, | )
- DEFINE_COMMUTATIVITY_CHECK_WRT (et, & )
- DEFINE_COMMUTATIVITY_CHECK_WRT_EQUAL(et, & )
- DEFINE_COMMUTATIVITY_CHECK_WRT (caret, ^ )
- DEFINE_COMMUTATIVITY_CHECK_WRT_EQUAL(caret, ^ )
- //------------------------------------------------------------------------------
- // Natural inversion
- //------------------------------------------------------------------------------
- #define DEFINE_PARTIAL_INVERSION_CHECK_WRT_EQUAL(plus_tag, plus_sign) \
- template<class Type> \
- void check_partial_inversion_wrt_equal_##plus_tag \
- (typename equality<Type>::type* equal, const Type& identity_element, const Type& var_a) \
- { \
- Type positive_difference = var_a - var_a; \
- BOOST_CHECK((*equal)(positive_difference, identity_element)); \
- }
- #define DEFINE_PARTIAL_INVERSION_CHECK_WRT(plus_tag, plus_sign) \
- template<class Type> \
- void check_partial_inversion_wrt_##plus_tag \
- (const Type& identity_element, const Type& var_a) \
- { \
- Type positive_difference = var_a - var_a; \
- BOOST_CHECK(positive_difference==identity_element); \
- }
- #define CHECK_PARTIAL_INVERSION_WRT_EQUAL(plus_tag) check_partial_inversion_wrt_equal_##plus_tag
- #define CHECK_PARTIAL_INVERSION_WRT(plus_tag) check_partial_inversion_wrt_##plus_tag
- DEFINE_PARTIAL_INVERSION_CHECK_WRT (plus, + )
- DEFINE_PARTIAL_INVERSION_CHECK_WRT_EQUAL(plus, + )
- DEFINE_PARTIAL_INVERSION_CHECK_WRT (pipe, | )
- DEFINE_PARTIAL_INVERSION_CHECK_WRT_EQUAL(pipe, | )
- //------------------------------------------------------------------------------
- // Inverse
- //------------------------------------------------------------------------------
- #define DEFINE_INVERSE_CHECK_WRT_EQUAL(plus_tag, plus_sign) \
- template<class Type> \
- void check_inverse_wrt_equal_##plus_tag \
- (typename equality<Type>::type* equal, const Type& identity_element, const Type& var_a) \
- { \
- Type positive_difference = var_a - var_a; \
- BOOST_CHECK((*equal)(positive_difference, identity_element)); \
- Type negative_difference = (identity_element - var_a) plus_sign var_a; \
- BOOST_CHECK((*equal)(negative_difference, identity_element)); \
- }
- #define DEFINE_INVERSE_CHECK_WRT(plus_tag, plus_sign) \
- template<class Type> \
- void check_inverse_wrt_##plus_tag \
- (const Type& identity_element, const Type& var_a) \
- { \
- Type positive_difference = var_a - var_a; \
- BOOST_CHECK(positive_difference==identity_element); \
- Type negative_difference = (identity_element - var_a) plus_sign var_a; \
- BOOST_CHECK(negative_difference==identity_element); \
- }
- #define CHECK_INVERSE_WRT_EQUAL(plus_tag) check_inverse_wrt_equal_##plus_tag
- #define CHECK_INVERSE_WRT(plus_tag) check_inverse_wrt_##plus_tag
- DEFINE_INVERSE_CHECK_WRT (plus, + )
- DEFINE_INVERSE_CHECK_WRT_EQUAL(plus, + )
- DEFINE_INVERSE_CHECK_WRT (pipe, | )
- DEFINE_INVERSE_CHECK_WRT_EQUAL(pipe, | )
- //------------------------------------------------------------------------------
- // Containedness laws (Valid for sets, NOT for maps)
- //------------------------------------------------------------------------------
- template<class Type, class TypeB>
- void check_intersection_containedness(const Type& a, const TypeB& b)
- {
- BOOST_CHECK_EQUAL(contains(a, a & b), true);
- BOOST_CHECK_EQUAL(contains(a, b & a), true);
- BOOST_CHECK_EQUAL(within(a & b, a), true);
- BOOST_CHECK_EQUAL(within(b & a, a), true);
- }
- template<class Type, class TypeB>
- void check_union_containedness(const Type& a, const TypeB& b)
- {
- BOOST_CHECK_EQUAL(within(a, a + b), true);
- BOOST_CHECK_EQUAL(within(a, b + a), true);
- BOOST_CHECK_EQUAL(contains(a + b, a), true);
- BOOST_CHECK_EQUAL(contains(b + a, a), true);
- }
- template<class MapT>
- void check_domain_containedness(const MapT& a)
- {
- typedef typename MapT::set_type set_type;
- set_type dom;
- domain(dom, a);
- BOOST_CHECK_EQUAL(within(dom, a), true);
- BOOST_CHECK_EQUAL(contains(a, dom), true);
- if(!dom.empty())
- {
- typename MapT::domain_type a1 = *dom.begin();
- BOOST_CHECK_EQUAL(within(a1, a), true);
- BOOST_CHECK_EQUAL(contains(a, a1), true);
- }
- }
- //------------------------------------------------------------------------------
- // Laws on inner complement, between and distance
- //------------------------------------------------------------------------------
- template<class Type, class SetT>
- bool check_length_as_distance( const Type& object
- , SetT& in_between
- , typename Type::difference_type& between_len
- , typename Type::difference_type& obj_dist )
- {
- //LAW LengthAsDistance: distance(x) == length(between(x))
- icl::between(in_between, object);
- between_len = icl::length(in_between);
- obj_dist = icl::distance(object);
- BOOST_CHECK_EQUAL(obj_dist, between_len);
- return obj_dist == between_len;
- }
- template<class Type, class SetT>
- bool has_length_as_distance(const Type& object)
- {
- typedef typename Type::difference_type DiffT;
- SetT in_between; DiffT between_len, obj_dist;
- return check_length_as_distance(object, in_between, between_len, obj_dist);
- }
- template<class Type>
- bool check_length_complementarity( const Type& object
- , typename Type::difference_type& obj_len
- , typename Type::difference_type& obj_dist
- , typename Type::difference_type& hull_len )
- {
- //LAW Length Complementarity: length(x) + distance(x) == length(hull(x))
- obj_len = icl::length(object);
- obj_dist = icl::distance(object);
- hull_len = icl::length(hull(object));
- BOOST_CHECK_EQUAL(obj_len + obj_dist, hull_len);
- return obj_len + obj_dist == hull_len;
- }
- template<class Type>
- bool has_length_complementarity(const Type& object)
- {
- typedef typename Type::difference_type DiffT;
- DiffT obj_len, obj_dist, hull_len;
- return check_length_complementarity(object, obj_len, obj_dist, hull_len);
- }
- template<class Type, class SetT>
- bool check_inner_complementarity(const Type& object, SetT& in_between, SetT& lhs, SetT& rhs)
- {
- //LAW Inner Complementarity1: domain(x) + between(x) =e= hull(x)
- //LAW Inner Complementarity2: join(domain(x) + between(x)) == hull(x)
- SetT dom;
- icl::domain(dom, object);
- lhs = dom + between(in_between, object);
- join(lhs);
- rhs = SetT(hull(object));
- BOOST_CHECK_EQUAL(lhs, rhs);
- return lhs == rhs;
- }
- template<class Type, class SetT>
- bool has_inner_complementarity(const Type& object)
- {
- SetT in_between, lhs, rhs;
- return check_inner_complementarity(object, in_between, lhs, rhs);
- }
- //==============================================================================
- // Law tests are now combined to test algebraic concepts.
- //------------------------------------------------------------------------------
- // Monodid EAN
- //------------------------------------------------------------------------------
- #define DEFINE_MONOID_CHECK_WRT_EQUAL(op_tag) \
- template<class Type, class TypeB, class TypeC> \
- void check_monoid_wrt_equal_##op_tag \
- (typename equality<Type>::type* equal, const Type& identity_element, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- CHECK_ASSOCIATIVITY_WRT_EQUAL(op_tag)(equal,a,b,c); \
- CHECK_NEUTRALITY_WRT_EQUAL(op_tag)(equal,a,identity_element); \
- }
- #define DEFINE_MONOID_CHECK_WRT(op_tag) \
- template<class Type, class TypeB, class TypeC> \
- void check_monoid_wrt_##op_tag \
- (const Type& identity_element, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- CHECK_ASSOCIATIVITY_WRT(op_tag)(a,b,c); \
- CHECK_NEUTRALITY_WRT(op_tag)(a,identity_element); \
- }
- DEFINE_MONOID_CHECK_WRT (plus)
- DEFINE_MONOID_CHECK_WRT_EQUAL(plus)
- DEFINE_MONOID_CHECK_WRT (pipe)
- DEFINE_MONOID_CHECK_WRT_EQUAL(pipe)
- DEFINE_MONOID_CHECK_WRT (et)
- DEFINE_MONOID_CHECK_WRT_EQUAL(et)
- DEFINE_MONOID_CHECK_WRT (caret)
- DEFINE_MONOID_CHECK_WRT_EQUAL(caret)
- #define CHECK_MONOID_WRT(op_tag) check_monoid_wrt_##op_tag
- #define CHECK_MONOID_WRT_EQUAL(op_tag) check_monoid_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Commutative or Abelian monodid EANC
- //------------------------------------------------------------------------------
- #define DEFINE_ABELIAN_MONOID_CHECK_WRT_EQUAL(op_tag) \
- template<class Type, class TypeB, class TypeC> \
- void check_abelian_monoid_wrt_equal_##op_tag \
- (typename equality<Type>::type* equal, const Type& identity_element, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- CHECK_ASSOCIATIVITY_WRT_EQUAL(op_tag)(equal,a,b,c); \
- CHECK_NEUTRALITY_WRT_EQUAL(op_tag)(equal,a,identity_element); \
- CHECK_COMMUTATIVITY_WRT_EQUAL(op_tag)(equal,a,b); \
- CHECK_COMMUTATIVITY_WRT_EQUAL(op_tag)(equal,a,c); \
- }
- #define DEFINE_ABELIAN_MONOID_CHECK_WRT(op_tag) \
- template<class Type, class TypeB, class TypeC> \
- void check_abelian_monoid_wrt_##op_tag \
- (const Type& identity_element, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- CHECK_ASSOCIATIVITY_WRT(op_tag)(a,b,c); \
- CHECK_NEUTRALITY_WRT(op_tag)(a,identity_element); \
- CHECK_COMMUTATIVITY_WRT(op_tag)(a,b); \
- CHECK_COMMUTATIVITY_WRT(op_tag)(a,c); \
- }
- DEFINE_ABELIAN_MONOID_CHECK_WRT (plus)
- DEFINE_ABELIAN_MONOID_CHECK_WRT_EQUAL(plus)
- DEFINE_ABELIAN_MONOID_CHECK_WRT (pipe)
- DEFINE_ABELIAN_MONOID_CHECK_WRT_EQUAL(pipe)
- DEFINE_ABELIAN_MONOID_CHECK_WRT (et)
- DEFINE_ABELIAN_MONOID_CHECK_WRT_EQUAL(et)
- DEFINE_ABELIAN_MONOID_CHECK_WRT (caret)
- DEFINE_ABELIAN_MONOID_CHECK_WRT_EQUAL(caret)
- #define CHECK_ABELIAN_MONOID_WRT(op_tag) check_abelian_monoid_wrt_##op_tag
- #define CHECK_ABELIAN_MONOID_WRT_EQUAL(op_tag) check_abelian_monoid_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Abelian monodid EANC with partial inversion
- //------------------------------------------------------------------------------
- #define DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT_EQUAL(op_tag) \
- template<class Type, class TypeB, class TypeC> \
- void check_partial_invertive_monoid_wrt_equal_##op_tag \
- (typename equality<Type>::type* equal, const Type& identity_element, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- CHECK_ABELIAN_MONOID_WRT_EQUAL(op_tag)(equal,identity_element,a,b,c); \
- CHECK_PARTIAL_INVERSION_WRT_EQUAL(op_tag)(equal,identity_element,a); \
- }
- #define DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT(op_tag) \
- template<class Type, class TypeB, class TypeC> \
- void check_partial_invertive_monoid_wrt_##op_tag \
- (const Type& identity_element, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- CHECK_ABELIAN_MONOID_WRT(op_tag)(identity_element,a,b,c); \
- CHECK_PARTIAL_INVERSION_WRT(op_tag)(identity_element,a); \
- }
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT (plus)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT_EQUAL(plus)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT (pipe)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT_EQUAL(pipe)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT (et)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT_EQUAL(et)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT (caret)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_WRT_EQUAL(caret)
- #define CHECK_PARTIAL_INVERTIVE_MONOID_WRT(op_tag) check_partial_invertive_monoid_wrt_##op_tag
- #define CHECK_PARTIAL_INVERTIVE_MONOID_WRT_EQUAL(op_tag) check_partial_invertive_monoid_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Abelian group EANIC
- //------------------------------------------------------------------------------
- #define DEFINE_ABELIAN_GROUP_CHECK_WRT_EQUAL(op_tag) \
- template<class Type, class TypeB, class TypeC> \
- void check_abelian_group_wrt_equal_##op_tag \
- (typename equality<Type>::type* equal, const Type& identity_element, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- CHECK_ABELIAN_MONOID_WRT_EQUAL(op_tag)(equal,identity_element,a,b,c); \
- CHECK_INVERSE_WRT_EQUAL(op_tag)(equal,identity_element,a); \
- }
- #define DEFINE_ABELIAN_GROUP_CHECK_WRT(op_tag) \
- template<class Type, class TypeB, class TypeC> \
- void check_abelian_group_wrt_##op_tag \
- (const Type& identity_element, \
- const Type& a, const TypeB& b, const TypeC& c) \
- { \
- CHECK_ABELIAN_MONOID_WRT(op_tag)(identity_element,a,b,c); \
- CHECK_INVERSE_WRT(op_tag)(identity_element,a); \
- }
- DEFINE_ABELIAN_GROUP_CHECK_WRT (plus)
- DEFINE_ABELIAN_GROUP_CHECK_WRT_EQUAL(plus)
- DEFINE_ABELIAN_GROUP_CHECK_WRT (pipe)
- DEFINE_ABELIAN_GROUP_CHECK_WRT_EQUAL(pipe)
- #define CHECK_ABELIAN_GROUP_WRT(op_tag) check_abelian_group_wrt_##op_tag
- #define CHECK_ABELIAN_GROUP_WRT_EQUAL(op_tag) check_abelian_group_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Modoid permuted
- //------------------------------------------------------------------------------
- #define DEFINE_MONOID_CHECK_PERMUTED_WRT_EQUAL(op_tag) \
- template<class TypeA, class TypeB, class Assoc> \
- void check_monoid_permuted_wrt_equal_##op_tag \
- (typename equality<TypeA>::type* equal, const TypeA& var_a, const TypeB& var_b, const Assoc& assoc) \
- { \
- CHECK_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeA>::value(), var_a, var_b, assoc);\
- CHECK_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeA>::value(), var_a, assoc, var_b);\
- CHECK_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeB>::value(), var_b, var_a, assoc);\
- CHECK_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeB>::value(), var_b, assoc, var_a);\
- }
- #define DEFINE_MONOID_CHECK_PERMUTED_WRT(op_tag) \
- template<class TypeA, class TypeB, class Assoc> \
- void check_monoid_permuted_wrt_##op_tag \
- (const TypeA& var_a, const TypeB& var_b, const Assoc& assoc) \
- { \
- CHECK_MONOID_WRT(op_tag)(icl::identity_element<TypeA>::value(), var_a, var_b, assoc);\
- CHECK_MONOID_WRT(op_tag)(icl::identity_element<TypeA>::value(), var_a, assoc, var_b);\
- CHECK_MONOID_WRT(op_tag)(icl::identity_element<TypeB>::value(), var_b, var_a, assoc);\
- CHECK_MONOID_WRT(op_tag)(icl::identity_element<TypeB>::value(), var_b, assoc, var_a);\
- }
- DEFINE_MONOID_CHECK_PERMUTED_WRT (plus)
- DEFINE_MONOID_CHECK_PERMUTED_WRT_EQUAL(plus)
- DEFINE_MONOID_CHECK_PERMUTED_WRT (pipe)
- DEFINE_MONOID_CHECK_PERMUTED_WRT_EQUAL(pipe)
- DEFINE_MONOID_CHECK_PERMUTED_WRT (et)
- DEFINE_MONOID_CHECK_PERMUTED_WRT_EQUAL(et)
- DEFINE_MONOID_CHECK_PERMUTED_WRT (caret)
- DEFINE_MONOID_CHECK_PERMUTED_WRT_EQUAL(caret)
- #define CHECK_MONOID_PERMUTED_WRT(op_tag) check_monoid_permuted_wrt_##op_tag
- #define CHECK_MONOID_PERMUTED_WRT_EQUAL(op_tag) check_monoid_permuted_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Abelian modoid permuted
- //------------------------------------------------------------------------------
- #define DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT_EQUAL(op_tag) \
- template<class TypeA, class TypeB, class Assoc> \
- void check_abelian_monoid_permuted_wrt_equal_##op_tag \
- (typename equality<TypeA>::type* equal, const TypeA& var_a, const TypeB& var_b, const Assoc& assoc) \
- { \
- CHECK_ABELIAN_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeA>::value(), var_a, var_b, assoc);\
- CHECK_ABELIAN_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeA>::value(), var_a, assoc, var_b);\
- CHECK_ABELIAN_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeB>::value(), var_b, var_a, assoc);\
- CHECK_ABELIAN_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeB>::value(), var_b, assoc, var_a);\
- }
- #define DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT(op_tag) \
- template<class TypeA, class TypeB, class Assoc> \
- void check_abelian_monoid_permuted_wrt_##op_tag \
- (const TypeA& var_a, const TypeB& var_b, const Assoc& assoc) \
- { \
- CHECK_ABELIAN_MONOID_WRT(op_tag)(icl::identity_element<TypeA>::value(), var_a, var_b, assoc);\
- CHECK_ABELIAN_MONOID_WRT(op_tag)(icl::identity_element<TypeA>::value(), var_a, assoc, var_b);\
- CHECK_ABELIAN_MONOID_WRT(op_tag)(icl::identity_element<TypeB>::value(), var_b, var_a, assoc);\
- CHECK_ABELIAN_MONOID_WRT(op_tag)(icl::identity_element<TypeB>::value(), var_b, assoc, var_a);\
- }
- DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT (plus)
- DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT_EQUAL(plus)
- DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT (pipe)
- DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT_EQUAL(pipe)
- DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT (et)
- DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT_EQUAL(et)
- DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT (caret)
- DEFINE_ABELIAN_MONOID_CHECK_PERMUTED_WRT_EQUAL(caret)
- #define CHECK_ABELIAN_MONOID_PERMUTED_WRT(op_tag) check_abelian_monoid_permuted_wrt_##op_tag
- #define CHECK_ABELIAN_MONOID_PERMUTED_WRT_EQUAL(op_tag) check_abelian_monoid_permuted_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Abelian modoid with partial inversion permuted
- //------------------------------------------------------------------------------
- #define DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT_EQUAL(op_tag) \
- template<class TypeA, class TypeB, class Assoc> \
- void check_partial_invertive_monoid_permuted_wrt_equal_##op_tag \
- (typename equality<TypeA>::type* equal, const TypeA& var_a, const TypeB& var_b, const Assoc& assoc) \
- { \
- CHECK_PARTIAL_INVERTIVE_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeA>::value(), var_a, var_b, assoc);\
- CHECK_PARTIAL_INVERTIVE_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeA>::value(), var_a, assoc, var_b);\
- CHECK_PARTIAL_INVERTIVE_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeB>::value(), var_b, var_a, assoc);\
- CHECK_PARTIAL_INVERTIVE_MONOID_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeB>::value(), var_b, assoc, var_a);\
- }
- #define DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT(op_tag) \
- template<class TypeA, class TypeB, class Assoc> \
- void check_partial_invertive_monoid_permuted_wrt_##op_tag \
- (const TypeA& var_a, const TypeB& var_b, const Assoc& assoc) \
- { \
- CHECK_PARTIAL_INVERTIVE_MONOID_WRT(op_tag)(icl::identity_element<TypeA>::value(), var_a, var_b, assoc);\
- CHECK_PARTIAL_INVERTIVE_MONOID_WRT(op_tag)(icl::identity_element<TypeA>::value(), var_a, assoc, var_b);\
- CHECK_PARTIAL_INVERTIVE_MONOID_WRT(op_tag)(icl::identity_element<TypeB>::value(), var_b, var_a, assoc);\
- CHECK_PARTIAL_INVERTIVE_MONOID_WRT(op_tag)(icl::identity_element<TypeB>::value(), var_b, assoc, var_a);\
- }
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT (plus)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT_EQUAL(plus)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT (pipe)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT_EQUAL(pipe)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT (et)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT_EQUAL(et)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT (caret)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_PERMUTED_WRT_EQUAL(caret)
- #define CHECK_PARTIAL_INVERTIVE_MONOID_PERMUTED_WRT(op_tag) check_partial_invertive_monoid_permuted_wrt_##op_tag
- #define CHECK_PARTIAL_INVERTIVE_MONOID_PERMUTED_WRT_EQUAL(op_tag) check_partial_invertive_monoid_permuted_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Abelian group permuted
- //------------------------------------------------------------------------------
- #define DEFINE_ABELIAN_GROUP_CHECK_PERMUTED_WRT_EQUAL(op_tag) \
- template<class TypeA, class TypeB, class Assoc> \
- void check_abelian_group_permuted_wrt_equal_##op_tag \
- (typename equality<TypeA>::type* equal, const TypeA& var_a, const TypeB& var_b, const Assoc& assoc) \
- { \
- CHECK_ABELIAN_GROUP_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeA>::value(), var_a, var_b, assoc);\
- CHECK_ABELIAN_GROUP_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeA>::value(), var_a, assoc, var_b);\
- CHECK_ABELIAN_GROUP_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeB>::value(), var_b, var_a, assoc);\
- CHECK_ABELIAN_GROUP_WRT_EQUAL(op_tag)(equal, icl::identity_element<TypeB>::value(), var_b, assoc, var_a);\
- }
- #define DEFINE_ABELIAN_GROUP_CHECK_PERMUTED_WRT(op_tag) \
- template<class TypeA, class TypeB, class Assoc> \
- void check_abelian_group_permuted_wrt_##op_tag \
- (const TypeA& var_a, const TypeB& var_b, const Assoc& assoc) \
- { \
- CHECK_ABELIAN_GROUP_WRT(op_tag)(icl::identity_element<TypeA>::value(), var_a, var_b, assoc);\
- CHECK_ABELIAN_GROUP_WRT(op_tag)(icl::identity_element<TypeA>::value(), var_a, assoc, var_b);\
- CHECK_ABELIAN_GROUP_WRT(op_tag)(icl::identity_element<TypeB>::value(), var_b, var_a, assoc);\
- CHECK_ABELIAN_GROUP_WRT(op_tag)(icl::identity_element<TypeB>::value(), var_b, assoc, var_a);\
- }
- DEFINE_ABELIAN_GROUP_CHECK_PERMUTED_WRT (plus)
- DEFINE_ABELIAN_GROUP_CHECK_PERMUTED_WRT_EQUAL(plus)
- DEFINE_ABELIAN_GROUP_CHECK_PERMUTED_WRT (pipe)
- DEFINE_ABELIAN_GROUP_CHECK_PERMUTED_WRT_EQUAL(pipe)
- #define CHECK_ABELIAN_GROUP_PERMUTED_WRT(op_tag) check_abelian_group_permuted_wrt_##op_tag
- #define CHECK_ABELIAN_GROUP_PERMUTED_WRT_EQUAL(op_tag) check_abelian_group_permuted_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Modoid instance
- //------------------------------------------------------------------------------
- #define DEFINE_MONOID_CHECK_INSTANCE_WRT_EQUAL(op_tag) \
- template<class TypeA, class TypeB, class TypeC, class AssocA, class AssocB> \
- void check_monoid_instance_wrt_equal_##op_tag \
- (typename equality<TypeA>::type* equal, const TypeA& var_a, const TypeB& var_b, const TypeC& var_c, \
- const AssocA& ass_a, const AssocB& ass_b) \
- { \
- CHECK_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, var_c);\
- CHECK_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, ass_a);\
- CHECK_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, ass_b);\
- }
- #define DEFINE_MONOID_CHECK_INSTANCE_WRT(op_tag) \
- template<class TypeA, class TypeB, class TypeC, class AssocA, class AssocB> \
- void check_monoid_instance_wrt_##op_tag \
- (const TypeA& var_a, const TypeB& var_b, const TypeC& var_c, \
- const AssocA& ass_a, const AssocB& ass_b) \
- { \
- CHECK_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, var_c);\
- CHECK_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, ass_a);\
- CHECK_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, ass_b);\
- }
- DEFINE_MONOID_CHECK_INSTANCE_WRT (plus)
- DEFINE_MONOID_CHECK_INSTANCE_WRT_EQUAL(plus)
- DEFINE_MONOID_CHECK_INSTANCE_WRT (pipe)
- DEFINE_MONOID_CHECK_INSTANCE_WRT_EQUAL(pipe)
- DEFINE_MONOID_CHECK_INSTANCE_WRT (et)
- DEFINE_MONOID_CHECK_INSTANCE_WRT_EQUAL(et)
- DEFINE_MONOID_CHECK_INSTANCE_WRT (caret)
- DEFINE_MONOID_CHECK_INSTANCE_WRT_EQUAL(caret)
- #define CHECK_MONOID_INSTANCE_WRT(op_tag) check_monoid_instance_wrt_##op_tag
- #define CHECK_MONOID_INSTANCE_WRT_EQUAL(op_tag) check_monoid_instance_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Abelian modoid instance
- //------------------------------------------------------------------------------
- #define DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT_EQUAL(op_tag) \
- template<class TypeA, class TypeB, class TypeC, class AssocA, class AssocB> \
- void check_abelian_monoid_instance_wrt_equal_##op_tag \
- (typename equality<TypeA>::type* equal, const TypeA& var_a, const TypeB& var_b, const TypeC& var_c, \
- const AssocA& ass_a, const AssocB& ass_b) \
- { \
- CHECK_ABELIAN_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, var_c);\
- CHECK_ABELIAN_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, ass_a);\
- CHECK_ABELIAN_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, ass_b);\
- }
- #define DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT(op_tag) \
- template<class TypeA, class TypeB, class TypeC, class AssocA, class AssocB> \
- void check_abelian_monoid_instance_wrt_##op_tag \
- (const TypeA& var_a, const TypeB& var_b, const TypeC& var_c, \
- const AssocA& ass_a, const AssocB& ass_b) \
- { \
- CHECK_ABELIAN_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, var_c);\
- CHECK_ABELIAN_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, ass_a);\
- CHECK_ABELIAN_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, ass_b);\
- }
- DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT (plus)
- DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT_EQUAL(plus)
- DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT (pipe)
- DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT_EQUAL(pipe)
- DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT (et)
- DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT_EQUAL(et)
- DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT (caret)
- DEFINE_ABELIAN_MONOID_CHECK_INSTANCE_WRT_EQUAL(caret)
- #define CHECK_ABELIAN_MONOID_INSTANCE_WRT(op_tag) check_abelian_monoid_instance_wrt_##op_tag
- #define CHECK_ABELIAN_MONOID_INSTANCE_WRT_EQUAL(op_tag) check_abelian_monoid_instance_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Abelian partial invertive modoid instance
- //------------------------------------------------------------------------------
- #define DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT_EQUAL(op_tag) \
- template<class TypeA, class TypeB, class TypeC, class AssocA, class AssocB> \
- void check_partial_invertive_monoid_instance_wrt_equal_##op_tag \
- (typename equality<TypeA>::type* equal, const TypeA& var_a, const TypeB& var_b, const TypeC& var_c, \
- const AssocA& ass_a, const AssocB& ass_b) \
- { \
- CHECK_PARTIAL_INVERTIVE_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, var_c);\
- CHECK_PARTIAL_INVERTIVE_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, ass_a);\
- CHECK_PARTIAL_INVERTIVE_MONOID_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, ass_b);\
- }
- #define DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT(op_tag) \
- template<class TypeA, class TypeB, class TypeC, class AssocA, class AssocB> \
- void check_partial_invertive_monoid_instance_wrt_##op_tag \
- (const TypeA& var_a, const TypeB& var_b, const TypeC& var_c, \
- const AssocA& ass_a, const AssocB& ass_b) \
- { \
- CHECK_PARTIAL_INVERTIVE_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, var_c);\
- CHECK_PARTIAL_INVERTIVE_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, ass_a);\
- CHECK_PARTIAL_INVERTIVE_MONOID_PERMUTED_WRT(op_tag)(var_a, var_b, ass_b);\
- }
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT (plus)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT_EQUAL(plus)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT (pipe)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT_EQUAL(pipe)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT (et)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT_EQUAL(et)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT (caret)
- DEFINE_PARTIAL_INVERTIVE_MONOID_CHECK_INSTANCE_WRT_EQUAL(caret)
- #define CHECK_PARTIAL_INVERTIVE_MONOID_INSTANCE_WRT(op_tag) check_partial_invertive_monoid_instance_wrt_##op_tag
- #define CHECK_PARTIAL_INVERTIVE_MONOID_INSTANCE_WRT_EQUAL(op_tag) check_partial_invertive_monoid_instance_wrt_equal_##op_tag
- //------------------------------------------------------------------------------
- // Abelian group instance
- //------------------------------------------------------------------------------
- #define DEFINE_ABELIAN_GROUP_CHECK_INSTANCE_WRT_EQUAL(op_tag) \
- template<class TypeA, class TypeB, class TypeC, class AssocA, class AssocB> \
- void check_abelian_group_instance_wrt_equal_##op_tag \
- (typename equality<TypeA>::type* equal, const TypeA& var_a, const TypeB& var_b, const TypeC& var_c, \
- const AssocA& ass_a, const AssocB& ass_b) \
- { \
- CHECK_ABELIAN_GROUP_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, var_c);\
- CHECK_ABELIAN_GROUP_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, ass_a);\
- CHECK_ABELIAN_GROUP_PERMUTED_WRT_EQUAL(op_tag)(equal, var_a, var_b, ass_b);\
- }
- #define DEFINE_ABELIAN_GROUP_CHECK_INSTANCE_WRT(op_tag) \
- template<class TypeA, class TypeB, class TypeC, class AssocA, class AssocB> \
- void check_abelian_group_instance_wrt_##op_tag \
- (const TypeA& var_a, const TypeB& var_b, const TypeC& var_c, \
- const AssocA& ass_a, const AssocB& ass_b) \
- { \
- CHECK_ABELIAN_GROUP_PERMUTED_WRT(op_tag)(var_a, var_b, var_c);\
- CHECK_ABELIAN_GROUP_PERMUTED_WRT(op_tag)(var_a, var_b, ass_a);\
- CHECK_ABELIAN_GROUP_PERMUTED_WRT(op_tag)(var_a, var_b, ass_b);\
- }
- DEFINE_ABELIAN_GROUP_CHECK_INSTANCE_WRT (plus)
- DEFINE_ABELIAN_GROUP_CHECK_INSTANCE_WRT_EQUAL(plus)
- DEFINE_ABELIAN_GROUP_CHECK_INSTANCE_WRT (pipe)
- DEFINE_ABELIAN_GROUP_CHECK_INSTANCE_WRT_EQUAL(pipe)
- #define CHECK_ABELIAN_GROUP_INSTANCE_WRT(op_tag) check_abelian_group_instance_wrt_##op_tag
- #define CHECK_ABELIAN_GROUP_INSTANCE_WRT_EQUAL(op_tag) check_abelian_group_instance_wrt_equal_##op_tag
- }} // namespace icl boost
- #endif // BOOST_LIBS_ICL_TEST_ICL_LAWS_HPP_JOFA_090119
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