--- /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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