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1 // Boost.Geometry (aka GGL, Generic Geometry Library)
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2
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3 // Copyright (c) 2012-2014 Barend Gehrels, Amsterdam, the Netherlands.
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4
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5 // Use, modification and distribution is subject to the Boost Software License,
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6 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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7 // http://www.boost.org/LICENSE_1_0.txt)
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8
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9 #ifndef BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP
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10 #define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP
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11
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12 #include <boost/geometry/core/cs.hpp>
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13 #include <boost/geometry/strategies/tags.hpp>
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14 #include <boost/geometry/util/math.hpp>
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15 #include <boost/geometry/util/select_most_precise.hpp>
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16
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17 #include <boost/geometry/strategies/buffer.hpp>
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18
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19
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20 #include <boost/geometry/io/wkt/wkt.hpp>
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21
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22 namespace boost { namespace geometry
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23 {
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24
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25
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26 namespace strategy { namespace buffer
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27 {
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28
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29
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30 /*!
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31 \brief Let the buffer create rounded ends
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32 \ingroup strategies
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33 \details This strategy can be used as EndStrategy for the buffer algorithm.
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34 It creates a rounded end for each linestring-end. It can be applied
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35 for (multi)linestrings. Also it is applicable for spikes in (multi)polygons.
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36 This strategy is only applicable for Cartesian coordinate systems.
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37
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38 \qbk{
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39 [heading Example]
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40 [buffer_end_round]
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41 [heading Output]
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42 [$img/strategies/buffer_end_round.png]
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43 [heading See also]
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44 \* [link geometry.reference.algorithms.buffer.buffer_7_with_strategies buffer (with strategies)]
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45 \* [link geometry.reference.strategies.strategy_buffer_end_flat end_flat]
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46 }
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47 */
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48 class end_round
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49 {
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50 private :
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51 std::size_t m_points_per_circle;
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52
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53 template
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54 <
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55 typename Point,
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56 typename PromotedType,
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57 typename DistanceType,
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58 typename RangeOut
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59 >
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60 inline void generate_points(Point const& point,
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61 PromotedType alpha, // by value
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62 DistanceType const& buffer_distance,
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63 RangeOut& range_out) const
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64 {
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65 PromotedType const two = 2.0;
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66 PromotedType const two_pi = two * geometry::math::pi<PromotedType>();
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67
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68 std::size_t point_buffer_count = m_points_per_circle;
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69
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70 PromotedType const diff = two_pi / PromotedType(point_buffer_count);
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71
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72 // For half circle:
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73 point_buffer_count /= 2;
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74 point_buffer_count++;
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75
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76 for (std::size_t i = 0; i < point_buffer_count; i++, alpha -= diff)
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77 {
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78 typename boost::range_value<RangeOut>::type p;
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79 set<0>(p, get<0>(point) + buffer_distance * cos(alpha));
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80 set<1>(p, get<1>(point) + buffer_distance * sin(alpha));
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81 range_out.push_back(p);
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82 }
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83 }
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84
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85 template <typename T, typename P1, typename P2>
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86 static inline T calculate_angle(P1 const& from_point, P2 const& to_point)
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87 {
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88 typedef P1 vector_type;
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89 vector_type v = from_point;
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90 geometry::subtract_point(v, to_point);
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91 return atan2(geometry::get<1>(v), geometry::get<0>(v));
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92 }
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93
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94 public :
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95
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96 //! \brief Constructs the strategy
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97 //! \param points_per_circle points which would be used for a full circle
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98 //! (if points_per_circle is smaller than 4, it is internally set to 4)
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99 explicit inline end_round(std::size_t points_per_circle = 90)
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100 : m_points_per_circle((points_per_circle < 4u) ? 4u : points_per_circle)
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101 {}
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102
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103 #ifndef DOXYGEN_SHOULD_SKIP_THIS
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104
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105 //! Fills output_range with a flat end
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106 template <typename Point, typename RangeOut, typename DistanceStrategy>
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107 inline void apply(Point const& penultimate_point,
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108 Point const& perp_left_point,
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109 Point const& ultimate_point,
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110 Point const& perp_right_point,
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111 buffer_side_selector side,
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112 DistanceStrategy const& distance,
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113 RangeOut& range_out) const
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114 {
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115 typedef typename coordinate_type<Point>::type coordinate_type;
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116
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117 typedef typename geometry::select_most_precise
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118 <
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119 coordinate_type,
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120 double
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121 >::type promoted_type;
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122
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123 promoted_type const alpha = calculate_angle<promoted_type>(perp_left_point, ultimate_point);
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124
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125 promoted_type const dist_left = distance.apply(penultimate_point, ultimate_point, buffer_side_left);
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126 promoted_type const dist_right = distance.apply(penultimate_point, ultimate_point, buffer_side_right);
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127 if (geometry::math::equals(dist_left, dist_right))
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128 {
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129 generate_points(ultimate_point, alpha, dist_left, range_out);
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130 }
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131 else
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132 {
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133 promoted_type const two = 2.0;
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134 promoted_type dist_half_diff = (dist_left - dist_right) / two;
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135
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136 if (side == buffer_side_right)
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137 {
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138 dist_half_diff = -dist_half_diff;
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139 }
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140
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141 Point shifted_point;
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142 set<0>(shifted_point, get<0>(ultimate_point) + dist_half_diff * cos(alpha));
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143 set<1>(shifted_point, get<1>(ultimate_point) + dist_half_diff * sin(alpha));
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144 generate_points(shifted_point, alpha, (dist_left + dist_right) / two, range_out);
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145 }
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146
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147 if (m_points_per_circle % 2 == 1)
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148 {
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149 // For a half circle, if the number of points is not even,
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150 // we should insert the end point too, to generate a full cap
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151 range_out.push_back(perp_right_point);
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152 }
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153 }
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154
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155 template <typename NumericType>
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156 static inline NumericType max_distance(NumericType const& distance)
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157 {
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158 return distance;
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159 }
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160
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161 //! Returns the piece_type (flat end)
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162 static inline piece_type get_piece_type()
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163 {
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164 return buffered_round_end;
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165 }
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166 #endif // DOXYGEN_SHOULD_SKIP_THIS
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167 };
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168
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169
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170 }} // namespace strategy::buffer
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171
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172 }} // namespace boost::geometry
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173
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174 #endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP
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