View Javadoc
1   /*
2    * Licensed to the Apache Software Foundation (ASF) under one or more
3    * contributor license agreements.  See the NOTICE file distributed with
4    * this work for additional information regarding copyright ownership.
5    * The ASF licenses this file to You under the Apache License, Version 2.0
6    * (the "License"); you may not use this file except in compliance with
7    * the License.  You may obtain a copy of the License at
8    *
9    *      http://www.apache.org/licenses/LICENSE-2.0
10   *
11   * Unless required by applicable law or agreed to in writing, software
12   * distributed under the License is distributed on an "AS IS" BASIS,
13   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14   * See the License for the specific language governing permissions and
15   * limitations under the License.
16   */
17  package org.apache.commons.geometry.euclidean.twod;
18  
19  import org.apache.commons.geometry.core.RegionLocation;
20  import org.apache.commons.geometry.core.Transform;
21  import org.apache.commons.geometry.core.partitioning.Split;
22  import org.apache.commons.numbers.core.Precision;
23  
24  /** Class representing a line segment in 2D Euclidean space. A line segment is a portion of
25   * a line with finite start and end points.
26   *
27   * <p>Instances of this class are guaranteed to be immutable.</p>
28   * @see Lines
29   * @see <a href="https://en.wikipedia.org/wiki/Line_segment">Line Segment</a>
30   */
31  public final class Segment extends LineConvexSubset {
32  
33      /** Start point for the segment. */
34      private final Vector2D startPoint;
35  
36      /** End point for the segment. */
37      private final Vector2D endPoint;
38  
39      /** Construct a new instance from a line and two points on the line. Callers are responsible for
40       * ensuring that the given points lie on the line and are in order of increasing abscissa.
41       * No validation is performed.
42       * @param line line for the segment
43       * @param startPoint segment start point
44       * @param endPoint segment end point
45       */
46      Segment(final Line line, final Vector2D startPoint, final Vector2D endPoint) {
47          super(line);
48  
49          this.startPoint = startPoint;
50          this.endPoint = endPoint;
51      }
52  
53      /** {@inheritDoc}
54       *
55       * <p>This method always returns {@code false}.</p>
56       */
57      @Override
58      public boolean isFull() {
59          return false;
60      }
61  
62      /** {@inheritDoc}
63       *
64       * <p>This method always returns {@code false}.</p>
65       */
66      @Override
67      public boolean isInfinite() {
68          return false;
69      }
70  
71      /** {@inheritDoc}
72       *
73       * <p>This method always returns {@code true}.</p>
74       */
75      @Override
76      public boolean isFinite() {
77          return true;
78      }
79  
80      /** {@inheritDoc} */
81      @Override
82      public double getSize() {
83          return startPoint.distance(endPoint);
84      }
85  
86      /** {@inheritDoc} */
87      @Override
88      public Vector2D getCentroid() {
89          return startPoint.lerp(endPoint, 0.5);
90      }
91  
92      /** {@inheritDoc} */
93      @Override
94      public Vector2D getStartPoint() {
95          return startPoint;
96      }
97  
98      /** {@inheritDoc} */
99      @Override
100     public double getSubspaceStart() {
101         return getLine().abscissa(startPoint);
102     }
103 
104     /** {@inheritDoc} */
105     @Override
106     public Vector2D getEndPoint() {
107         return endPoint;
108     }
109 
110     /** {@inheritDoc} */
111     @Override
112     public double getSubspaceEnd() {
113         return getLine().abscissa(endPoint);
114     }
115 
116     /** {@inheritDoc} */
117     @Override
118     public Bounds2D getBounds() {
119         return Bounds2D.builder()
120                 .add(startPoint)
121                 .add(endPoint)
122                 .build();
123     }
124 
125     /** {@inheritDoc} */
126     @Override
127     public Segment transform(final Transform<Vector2D> transform) {
128         final Vector2D t1 = transform.apply(getStartPoint());
129         final Vector2D t2 = transform.apply(getEndPoint());
130 
131         final Line tLine = getLine().transform(transform);
132 
133         return new Segment(tLine, t1, t2);
134     }
135 
136     /** {@inheritDoc} */
137     @Override
138     public Segment reverse() {
139         return new Segment(getLine().reverse(), endPoint, startPoint);
140     }
141 
142     /** {@inheritDoc} */
143     @Override
144     public String toString() {
145         final StringBuilder sb = new StringBuilder();
146         sb.append(getClass().getSimpleName())
147             .append("[startPoint= ")
148             .append(getStartPoint())
149             .append(", endPoint= ")
150             .append(getEndPoint())
151             .append(']');
152 
153         return sb.toString();
154     }
155 
156     /** {@inheritDoc} */
157     @Override
158     RegionLocation classifyAbscissa(final double abscissa) {
159         final Precision.DoubleEquivalence precision = getPrecision();
160         final int startCmp = precision.compare(abscissa, getSubspaceStart());
161         if (startCmp > 0) {
162             final int endCmp = precision.compare(abscissa, getSubspaceEnd());
163             if (endCmp < 0) {
164                 return RegionLocation.INSIDE;
165             } else if (endCmp == 0) {
166                 return RegionLocation.BOUNDARY;
167             }
168         } else if (startCmp == 0) {
169             return RegionLocation.BOUNDARY;
170         }
171 
172         return RegionLocation.OUTSIDE;
173     }
174 
175     /** {@inheritDoc} */
176     @Override
177     double closestAbscissa(final double abscissa) {
178         return Math.max(getSubspaceStart(), Math.min(getSubspaceEnd(), abscissa));
179     }
180 
181     /** {@inheritDoc} */
182     @Override
183     Split<LineConvexSubset> splitOnIntersection(final Line splitter, final Vector2D intersection) {
184         final Line line = getLine();
185 
186         final Precision.DoubleEquivalence splitterPrecision = splitter.getPrecision();
187 
188         final int startCmp = splitterPrecision.compare(splitter.offset(startPoint), 0.0);
189         final int endCmp = splitterPrecision.compare(splitter.offset(endPoint), 0.0);
190 
191         if (startCmp == 0 && endCmp == 0) {
192             // the entire segment is directly on the splitter line
193             return new Split<>(null, null);
194         } else if (startCmp < 1 && endCmp < 1) {
195             // the entire segment is on the minus side
196             return new Split<>(this, null);
197         } else if (startCmp > -1 && endCmp > -1) {
198             // the entire segment is on the plus side
199             return new Split<>(null, this);
200         }
201 
202         // we need to split the line
203         final Segment startSegment = new Segment(line, startPoint, intersection);
204         final Segment endSegment = new Segment(line, intersection, endPoint);
205 
206         final Segment minus = (startCmp > 0) ? endSegment : startSegment;
207         final Segment plus = (startCmp > 0) ? startSegment : endSegment;
208 
209         return new Split<>(minus, plus);
210     }
211 }