+++ /dev/null
-/* -*- C++ -*- ------------------------------------------------------------
-
-Copyright (c) 2007 Jesse Anders and Demian Nave http://cmldev.net/
-
-The Configurable Math Library (CML) is distributed under the terms of the
-Boost Software License, v1.0 (see cml/LICENSE for details).
-
- *-----------------------------------------------------------------------*/
-/** @file
- * @brief
- *
- * @todo The matrix and matrix order operators could probably be combined
- * into a single templated implementation, since the only thing that is
- * different is the access method.
- */
-
-#ifndef matrix_comparison_h
-#define matrix_comparison_h
-
-#include <cml/core/cml_assert.h>
-#include <cml/et/size_checking.h>
-#include <cml/et/scalar_ops.h>
-
-/* This is used below to create a more meaningful compile-time error when
- * matrix_comparison is not provided with matrix or MatrixExpr arguments:
- */
-struct matrix_comparison_expects_matrix_args_error;
-
-#define CML_MAT_MAT_ORDER(_order_, _op_, _OpT_) \
-template<typename E1, class AT1, typename L1, \
- typename E2, class AT2, typename L2, typename BO> \
-inline bool \
-_op_ ( \
- const matrix<E1,AT1,L1,BO>& left, \
- const matrix<E2,AT2,L2,BO>& right) \
-{ \
- return detail::matrix_##_order_ (left, right, _OpT_ <E1,E2>()); \
-}
-
-#define CML_MAT_MATXPR_ORDER(_order_, _op_, _OpT_) \
-template<typename E, class AT, typename L, typename BO, class XprT> \
-inline bool \
-_op_ ( \
- const matrix<E,AT,L,BO>& left, \
- MATXPR_ARG_TYPE right) \
-{ \
- return detail::matrix_##_order_ (left, right, \
- _OpT_ <E, typename XprT::value_type>()); \
-}
-
-#define CML_MATXPR_MAT_ORDER(_order_, _op_, _OpT_) \
-template<class XprT, typename E, class AT, typename L, typename BO> \
-inline bool \
-_op_ ( \
- MATXPR_ARG_TYPE left, \
- const matrix<E,AT,L,BO>& right) \
-{ \
- return detail::matrix_##_order_ (left, right, \
- _OpT_ <typename XprT::value_type, E>()); \
-}
-
-#define CML_MATXPR_MATXPR_ORDER(_order_, _op_, _OpT_) \
-template<class XprT1, class XprT2> \
-inline bool \
-_op_ ( \
- MATXPR_ARG_TYPE_N(1) left, \
- MATXPR_ARG_TYPE_N(2) right) \
-{ \
- return detail::matrix_##_order_ (left, right, \
- _OpT_ < \
- typename XprT1::value_type, \
- typename XprT2::value_type>()); \
-}
-
-
-namespace cml {
-namespace detail {
-
-/** Matrix strict weak ordering relationship.
- *
- * OpT must implement a strict weak order on the matrix element type.
- * operator< and operator> on integer and floating-point types are
- * examples.
- */
-template<typename LeftT, typename RightT, typename OpT>
-inline bool
-matrix_weak_order(const LeftT& left, const RightT& right, OpT)
-{
- /* Shorthand: */
- typedef et::ExprTraits<LeftT> left_traits;
- typedef et::ExprTraits<RightT> right_traits;
-
- /* matrix_comparison() requires matrix expressions: */
- CML_STATIC_REQUIRE_M(
- (et::MatrixExpressions<LeftT,RightT>::is_true),
- matrix_comparison_expects_matrix_args_error);
- /* Note: parens are required here so that the preprocessor ignores the
- * commas:
- */
-
- typedef typename et::MatrixPromote<
- typename left_traits::result_type,
- typename right_traits::result_type
- >::type result_type;
- typedef typename result_type::size_tag size_tag;
-
- /* Verify expression size: */
- matrix_size N = et::CheckedSize(left,right,size_tag());
- for(ssize_t i = 0; i < N.first; ++ i) {
- for(ssize_t j = 0; j < N.second; ++ j) {
- if(OpT().apply(
- left_traits().get(left,i,j),
- right_traits().get(right,i,j)
- ))
- {
- /* If weak order (a < b) is satisfied, return true: */
- return true;
- } else if(OpT().apply(
- right_traits().get(right,i,j),
- left_traits().get(left,i,j)
- ))
- {
- /* If !(b < a), then return false: */
- return false;
- } else {
-
- /* Have !(a < b) && !(b < a) <=> (a >= b && b >= a)
- * <=> (a == b). so need to test next element:
- */
- continue;
- }
- }
- }
- /* XXX Can this be unrolled in any reasonable way? */
-
- /* If we get here, then left == right: */
- return false;
-}
-
-/** Matrix total order relationship.
- *
- * OpT must implement a total order on the matrix element type. operator<=
- * and operator>= on integer and floating-point types are examples.
- */
-template<typename LeftT, typename RightT, typename OpT>
-inline bool
-matrix_total_order(const LeftT& left, const RightT& right, OpT)
-{
- /* Shorthand: */
- typedef et::ExprTraits<LeftT> left_traits;
- typedef et::ExprTraits<RightT> right_traits;
-
- /* matrix_comparison() requires matrix expressions: */
- CML_STATIC_REQUIRE_M(
- (et::MatrixExpressions<LeftT,RightT>::is_true),
- matrix_comparison_expects_matrix_args_error);
- /* Note: parens are required here so that the preprocessor ignores the
- * commas:
- */
-
- typedef typename et::MatrixPromote<
- typename left_traits::result_type,
- typename right_traits::result_type
- >::type result_type;
- typedef typename result_type::size_tag size_tag;
-
- /* Verify expression size: */
- matrix_size N = et::CheckedSize(left,right,size_tag());
- for(ssize_t i = 0; i < N.first; ++ i) {
- for(ssize_t j = 0; j < N.second; ++ j) {
-
- /* Test total order: */
- if(OpT().apply(
- left_traits().get(left,i,j),
- right_traits().get(right,i,j)
- ))
- {
- /* Automatically true if weak order (a <= b) && !(b <= a)
- * <=> (a <= b) && (b > a) <=> (a < b) is satisfied:
- */
- if(!OpT().apply(
- right_traits().get(right,i,j),
- left_traits().get(left,i,j)
- ))
- return true;
-
- /* Otherwise, have equality (a <= b) && (b <= a), so
- * continue to next element:
- */
- else
- continue;
-
- } else {
-
- /* Total order isn't satisfied (a > b), so return false: */
- return false;
- }
- }
- }
- /* XXX Can this be unrolled in any reasonable way? */
-
- /* Total (==) or weak (<) order was satisfied, so return true: */
- return true;
-}
-
-}
-
-} // namespace cml
-
-/* XXX There is a better way to handle these with operator traits... */
-
-CML_MAT_VEC_ORDER( total_order, operator==, et::OpEqual)
-CML_MATXPR_MAT_ORDER( total_order, operator==, et::OpEqual)
-CML_MAT_MATXPR_ORDER( total_order, operator==, et::OpEqual)
-CML_MATXPR_VECXPR_ORDER( total_order, operator==, et::OpEqual)
-
-CML_MAT_VEC_ORDER( weak_order, operator!=, et::OpNotEqual)
-CML_MATXPR_MAT_ORDER( weak_order, operator!=, et::OpNotEqual)
-CML_MAT_MATXPR_ORDER( weak_order, operator!=, et::OpNotEqual)
-CML_MATXPR_VECXPR_ORDER( weak_order, operator!=, et::OpNotEqual)
-
-CML_MAT_VEC_ORDER( weak_order, operator<, et::OpLess)
-CML_MATXPR_MAT_ORDER( weak_order, operator<, et::OpLess)
-CML_MAT_MATXPR_ORDER( weak_order, operator<, et::OpLess)
-CML_MATXPR_VECXPR_ORDER( weak_order, operator<, et::OpLess)
-
-CML_MAT_VEC_ORDER( weak_order, operator>, et::OpGreater)
-CML_MATXPR_MAT_ORDER( weak_order, operator>, et::OpGreater)
-CML_MAT_MATXPR_ORDER( weak_order, operator>, et::OpGreater)
-CML_MATXPR_VECXPR_ORDER( weak_order, operator>, et::OpGreater)
-
-CML_MAT_VEC_ORDER( total_order, operator<=, et::OpLessEqual)
-CML_MATXPR_MAT_ORDER( total_order, operator<=, et::OpLessEqual)
-CML_MAT_MATXPR_ORDER( total_order, operator<=, et::OpLessEqual)
-CML_MATXPR_VECXPR_ORDER( total_order, operator<=, et::OpLessEqual)
-
-CML_MAT_VEC_ORDER( total_order, operator>=, et::OpGreaterEqual)
-CML_MATXPR_MAT_ORDER( total_order, operator>=, et::OpGreaterEqual)
-CML_MAT_MATXPR_ORDER( total_order, operator>=, et::OpGreaterEqual)
-CML_MATXPR_VECXPR_ORDER( total_order, operator>=, et::OpGreaterEqual)
-
-#endif
-
-// -------------------------------------------------------------------------
-// vim:ft=cpp
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