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Editing: interval_concept.hpp
// Boost.Polygon library interval_concept.hpp header file // Copyright (c) Intel Corporation 2008. // Copyright (c) 2008-2012 Simonson Lucanus. // Copyright (c) 2012-2012 Andrii Sydorchuk. // See http://www.boost.org for updates, documentation, and revision history. // Use, modification and distribution is subject to the Boost Software License, // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at // http://www.boost.org/LICENSE_1_0.txt) #ifndef BOOST_POLYGON_INTERVAL_CONCEPT_HPP #define BOOST_POLYGON_INTERVAL_CONCEPT_HPP #include "isotropy.hpp" #include "interval_traits.hpp" namespace boost { namespace polygon { struct interval_concept {}; template <typename ConceptType> struct is_interval_concept { typedef gtl_no type; }; template <> struct is_interval_concept<interval_concept> { typedef gtl_yes type; }; template <typename ConceptType> struct is_mutable_interval_concept { typedef gtl_no type; }; template <> struct is_mutable_interval_concept<interval_concept> { typedef gtl_yes type; }; template <typename GeometryType, typename BoolType> struct interval_coordinate_type_by_concept { typedef void type; }; template <typename GeometryType> struct interval_coordinate_type_by_concept<GeometryType, gtl_yes> { typedef typename interval_traits<GeometryType>::coordinate_type type; }; template <typename GeometryType> struct interval_coordinate_type { typedef typename interval_coordinate_type_by_concept< GeometryType, typename is_interval_concept< typename geometry_concept<GeometryType>::type >::type >::type type; }; template <typename GeometryType, typename BoolType> struct interval_difference_type_by_concept { typedef void type; }; template <typename GeometryType> struct interval_difference_type_by_concept<GeometryType, gtl_yes> { typedef typename coordinate_traits< typename interval_traits<GeometryType>::coordinate_type >::coordinate_difference type; }; template <typename GeometryType> struct interval_difference_type { typedef typename interval_difference_type_by_concept< GeometryType, typename is_interval_concept< typename geometry_concept<GeometryType>::type >::type >::type type; }; struct y_i_get : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_get, typename is_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, typename interval_coordinate_type<IntervalType>::type >::type get(const IntervalType& interval, direction_1d dir) { return interval_traits<IntervalType>::get(interval, dir); } struct y_i_set : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_set, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, void >::type set(IntervalType& interval, direction_1d dir, typename interval_mutable_traits<IntervalType>::coordinate_type value) { interval_mutable_traits<IntervalType>::set(interval, dir, value); } struct y_i_construct : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_construct, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type construct( typename interval_mutable_traits<IntervalType>::coordinate_type low, typename interval_mutable_traits<IntervalType>::coordinate_type high) { if (low > high) { (std::swap)(low, high); } return interval_mutable_traits<IntervalType>::construct(low, high); } struct y_i_copy_construct : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_copy_construct, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, IntervalType1 >::type copy_construct(const IntervalType2& interval) { return construct<IntervalType1>(get(interval, LOW), get(interval, HIGH)); } struct y_i_assign : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_assign, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, IntervalType1 >::type& assign(IntervalType1& lvalue, const IntervalType2& rvalue) { set(lvalue, LOW, get(rvalue, LOW)); set(lvalue, HIGH, get(rvalue, HIGH)); return lvalue; } struct y_i_low : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_low, typename is_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, typename interval_coordinate_type<IntervalType>::type >::type low(const IntervalType& interval) { return get(interval, LOW); } struct y_i_high : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_high, typename is_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, typename interval_coordinate_type<IntervalType>::type >::type high(const IntervalType& interval) { return get(interval, HIGH); } struct y_i_low2 : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_low2, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, void >::type low(IntervalType& interval, typename interval_mutable_traits<IntervalType>::coordinate_type value) { set(interval, LOW, value); } struct y_i_high2 : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_high2, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, void >::type high(IntervalType& interval, typename interval_mutable_traits<IntervalType>::coordinate_type value) { set(interval, HIGH, value); } struct y_i_equivalence : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_equivalence, typename is_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, bool >::type equivalence( const IntervalType1& interval1, const IntervalType2& interval2) { return (get(interval1, LOW) == get(interval2, LOW)) && (get(interval1, HIGH) == get(interval2, HIGH)); } struct y_i_contains : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_contains, typename is_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, bool >::type contains( const IntervalType& interval, typename interval_coordinate_type<IntervalType>::type value, bool consider_touch = true ) { if (consider_touch) { return value <= high(interval) && value >= low(interval); } else { return value < high(interval) && value > low(interval); } } struct y_i_contains2 : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_contains2, typename is_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, bool >::type contains( const IntervalType1& interval1, const IntervalType2& interval2, bool consider_touch = true) { return contains(interval1, get(interval2, LOW), consider_touch) && contains(interval1, get(interval2, HIGH), consider_touch); } struct y_i_center : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_center, typename is_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, typename interval_coordinate_type<IntervalType>::type >::type center(const IntervalType& interval) { return (high(interval) + low(interval)) / 2; } struct y_i_delta : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_delta, typename is_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, typename interval_difference_type<IntervalType>::type >::type delta(const IntervalType& interval) { typedef typename interval_difference_type<IntervalType>::type diff_type; return static_cast<diff_type>(high(interval)) - static_cast<diff_type>(low(interval)); } struct y_i_flip : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_flip, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType>::type& flip( IntervalType& interval, typename interval_coordinate_type<IntervalType>::type axis = 0) { typename interval_coordinate_type<IntervalType>::type newLow, newHigh; newLow = 2 * axis - high(interval); newHigh = 2 * axis - low(interval); low(interval, newLow); high(interval, newHigh); return interval; } struct y_i_scale_up : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_scale_up, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& scale_up( IntervalType& interval, typename interval_coordinate_type<IntervalType>::type factor) { typename interval_coordinate_type<IntervalType>::type newHigh = high(interval) * factor; low(interval, low(interval) * factor); high(interval, (newHigh)); return interval; } struct y_i_scale_down : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_scale_down, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& scale_down( IntervalType& interval, typename interval_coordinate_type<IntervalType>::type factor) { typename interval_coordinate_type<IntervalType>::type newHigh = high(interval) / factor; low(interval, low(interval) / factor); high(interval, (newHigh)); return interval; } // TODO(asydorchuk): Deprecated. struct y_i_scale : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_scale, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& scale(IntervalType& interval, double factor) { typedef typename interval_coordinate_type<IntervalType>::type Unit; Unit newHigh = scaling_policy<Unit>::round( static_cast<double>(high(interval)) * factor); low(interval, scaling_policy<Unit>::round( static_cast<double>(low(interval)) * factor)); high(interval, (newHigh)); return interval; } struct y_i_move : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_move, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& move( IntervalType& interval, typename interval_difference_type<IntervalType>::type displacement) { typedef typename interval_coordinate_type<IntervalType>::type ctype; typedef typename coordinate_traits<ctype>::coordinate_difference Unit; low(interval, static_cast<ctype>( static_cast<Unit>(low(interval)) + displacement)); high(interval, static_cast<ctype>( static_cast<Unit>(high(interval)) + displacement)); return interval; } struct y_i_convolve : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_convolve, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& convolve( IntervalType& interval, typename interval_coordinate_type<IntervalType>::type value) { typedef typename interval_coordinate_type<IntervalType>::type Unit; Unit newLow = low(interval) + value; Unit newHigh = high(interval) + value; low(interval, newLow); high(interval, newHigh); return interval; } struct y_i_deconvolve : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_deconvolve, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& deconvolve( IntervalType& interval, typename interval_coordinate_type<IntervalType>::type value) { typedef typename interval_coordinate_type<IntervalType>::type Unit; Unit newLow = low(interval) - value; Unit newHigh = high(interval) - value; low(interval, newLow); high(interval, newHigh); return interval; } struct y_i_convolve2 : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_convolve2, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, IntervalType1 >::type& convolve(IntervalType1& lvalue, const IntervalType2& rvalue) { typedef typename interval_coordinate_type<IntervalType1>::type Unit; Unit newLow = low(lvalue) + low(rvalue); Unit newHigh = high(lvalue) + high(rvalue); low(lvalue, newLow); high(lvalue, newHigh); return lvalue; } struct y_i_deconvolve2 : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_deconvolve2, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, IntervalType1 >::type& deconvolve(IntervalType1& lvalue, const IntervalType2& rvalue) { typedef typename interval_coordinate_type<IntervalType1>::type Unit; Unit newLow = low(lvalue) - low(rvalue); Unit newHigh = high(lvalue) - high(rvalue); low(lvalue, newLow); high(lvalue, newHigh); return lvalue; } struct y_i_reconvolve : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_reconvolve, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, IntervalType1 >::type& reflected_convolve( IntervalType1& lvalue, const IntervalType2& rvalue) { typedef typename interval_coordinate_type<IntervalType1>::type Unit; Unit newLow = low(lvalue) - high(rvalue); Unit newHigh = high(lvalue) - low(rvalue); low(lvalue, newLow); high(lvalue, newHigh); return lvalue; } struct y_i_redeconvolve : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_redeconvolve, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, IntervalType1 >::type& reflected_deconvolve( IntervalType1& lvalue, const IntervalType2& rvalue) { typedef typename interval_coordinate_type<IntervalType1>::type Unit; Unit newLow = low(lvalue) + high(rvalue); Unit newHigh = high(lvalue) + low(rvalue); low(lvalue, newLow); high(lvalue, newHigh); return lvalue; } struct y_i_e_dist1 : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and<y_i_e_dist1, typename is_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, typename interval_difference_type<IntervalType>::type >::type euclidean_distance( const IntervalType& interval, typename interval_coordinate_type<IntervalType>::type position) { typedef typename interval_difference_type<IntervalType>::type Unit; Unit dist[3] = { 0, (Unit)low(interval) - (Unit)position, (Unit)position - (Unit)high(interval) }; return dist[(dist[1] > 0) + ((dist[2] > 0) << 1)]; } struct y_i_e_dist2 : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_e_dist2, typename is_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, typename interval_difference_type<IntervalType1>::type >::type euclidean_distance( const IntervalType1& interval1, const IntervalType2& interval2) { typedef typename interval_difference_type<IntervalType1>::type Unit; Unit dist[3] = { 0, (Unit)low(interval1) - (Unit)high(interval2), (Unit)low(interval2) - (Unit)high(interval1) }; return dist[(dist[1] > 0) + ((dist[2] > 0) << 1)]; } struct y_i_e_intersects : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_e_intersects, typename is_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, bool >::type intersects( const IntervalType1& interval1, const IntervalType2& interval2, bool consider_touch = true) { return consider_touch ? (low(interval1) <= high(interval2)) && (high(interval1) >= low(interval2)) : (low(interval1) < high(interval2)) && (high(interval1) > low(interval2)); } struct y_i_e_bintersect : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_e_bintersect, typename is_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, bool >::type boundaries_intersect( const IntervalType1& interval1, const IntervalType2& interval2, bool consider_touch = true) { return (contains(interval1, low(interval2), consider_touch) || contains(interval1, high(interval2), consider_touch)) && (contains(interval2, low(interval1), consider_touch) || contains(interval2, high(interval1), consider_touch)); } struct y_i_intersect : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_intersect, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, bool >::type intersect( IntervalType1& lvalue, const IntervalType2& rvalue, bool consider_touch = true) { typedef typename interval_coordinate_type<IntervalType1>::type Unit; Unit lowVal = (std::max)(low(lvalue), low(rvalue)); Unit highVal = (std::min)(high(lvalue), high(rvalue)); bool valid = consider_touch ? lowVal <= highVal : lowVal < highVal; if (valid) { low(lvalue, lowVal); high(lvalue, highVal); } return valid; } struct y_i_g_intersect : gtl_yes {}; // TODO(asydorchuk): Deprecated. template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_g_intersect, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, IntervalType1 >::type& generalized_intersect( IntervalType1& lvalue, const IntervalType2& rvalue) { typedef typename interval_coordinate_type<IntervalType1>::type Unit; Unit coords[4] = {low(lvalue), high(lvalue), low(rvalue), high(rvalue)}; // TODO(asydorchuk): consider implementing faster sorting of small // fixed length range. polygon_sort(coords, coords+4); low(lvalue, coords[1]); high(lvalue, coords[2]); return lvalue; } struct y_i_abuts1 : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_abuts1, typename is_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, bool >::type abuts( const IntervalType1& interval1, const IntervalType2& interval2, direction_1d dir) { return dir.to_int() ? low(interval2) == high(interval1) : low(interval1) == high(interval2); } struct y_i_abuts2 : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_abuts2, typename is_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, bool >::type abuts( const IntervalType1& interval1, const IntervalType2& interval2) { return abuts(interval1, interval2, HIGH) || abuts(interval1, interval2, LOW); } struct y_i_bloat : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_bloat, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& bloat( IntervalType& interval, typename interval_coordinate_type<IntervalType>::type bloating) { low(interval, low(interval) - bloating); high(interval, high(interval) + bloating); return interval; } struct y_i_bloat2 : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_bloat2, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& bloat( IntervalType& interval, direction_1d dir, typename interval_coordinate_type<IntervalType>::type bloating) { set(interval, dir, get(interval, dir) + dir.get_sign() * bloating); return interval; } struct y_i_shrink : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_shrink, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& shrink( IntervalType& interval, typename interval_coordinate_type<IntervalType>::type shrinking) { return bloat(interval, -shrinking); } struct y_i_shrink2 : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_shrink2, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type& shrink( IntervalType& interval, direction_1d dir, typename interval_coordinate_type<IntervalType>::type shrinking) { return bloat(interval, dir, -shrinking); } struct y_i_encompass : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_encompass, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type >::type, bool >::type encompass(IntervalType1& interval1, const IntervalType2& interval2) { bool retval = !contains(interval1, interval2, true); low(interval1, (std::min)(low(interval1), low(interval2))); high(interval1, (std::max)(high(interval1), high(interval2))); return retval; } struct y_i_encompass2 : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_encompass2, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, bool >::type encompass( IntervalType& interval, typename interval_coordinate_type<IntervalType>::type value) { bool retval = !contains(interval, value, true); low(interval, (std::min)(low(interval), value)); high(interval, (std::max)(high(interval), value)); return retval; } struct y_i_get_half : gtl_yes {}; template <typename IntervalType> typename enable_if< typename gtl_and< y_i_get_half, typename is_mutable_interval_concept< typename geometry_concept<IntervalType>::type >::type >::type, IntervalType >::type get_half(const IntervalType& interval, direction_1d dir) { typedef typename interval_coordinate_type<IntervalType>::type Unit; Unit c = (get(interval, LOW) + get(interval, HIGH)) / 2; return construct<IntervalType>( (dir == LOW) ? get(interval, LOW) : c, (dir == LOW) ? c : get(interval, HIGH)); } struct y_i_join_with : gtl_yes {}; template <typename IntervalType1, typename IntervalType2> typename enable_if< typename gtl_and_3< y_i_join_with, typename is_mutable_interval_concept< typename geometry_concept<IntervalType1>::type >::type, typename is_interval_concept< typename geometry_concept<IntervalType2>::type >::type>::type, bool >::type join_with(IntervalType1& interval1, const IntervalType2& interval2) { if (abuts(interval1, interval2)) { encompass(interval1, interval2); return true; } return false; } } // polygon } // boost #endif // BOOST_POLYGON_INTERVAL_CONCEPT_HPP
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