Mercurial > dive4elements > river
comparison flys-artifacts/src/main/java/de/intevation/flys/artifacts/model/QRangeTree.java @ 3468:f37e7e8907cb
merged flys-artifacts/2.8.1
author | Thomas Arendsen Hein <thomas@intevation.de> |
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date | Fri, 28 Sep 2012 12:14:39 +0200 |
parents | 5642a83420f2 |
children | 51f76225823b |
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3387:5ffad8bde8ad | 3468:f37e7e8907cb |
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1 package de.intevation.flys.artifacts.model; | |
2 | |
3 import java.io.Serializable; | |
4 | |
5 import java.util.List; | |
6 import java.util.ArrayList; | |
7 | |
8 import org.apache.log4j.Logger; | |
9 | |
10 public class QRangeTree | |
11 implements Serializable | |
12 { | |
13 private static Logger log = Logger.getLogger(QRangeTree.class); | |
14 | |
15 public static final double EPSILON = 1e-4; | |
16 | |
17 public static class Node | |
18 implements Serializable | |
19 { | |
20 Node left; | |
21 Node right; | |
22 Node prev; | |
23 Node next; | |
24 | |
25 double a; | |
26 double b; | |
27 double q; | |
28 | |
29 public Node() { | |
30 } | |
31 | |
32 public Node(double a, double b, double q) { | |
33 this.a = a; | |
34 this.b = b; | |
35 this.q = q; | |
36 } | |
37 | |
38 protected final double interpolatePrev(double pos) { | |
39 /* | |
40 f(prev.b) = prev.q | |
41 f(a) = q | |
42 | |
43 prev.q = m*prev.b + n | |
44 q = m*a + n <=> n = q - m*a | |
45 | |
46 q - prev.q = m*(a - prev.b) | |
47 | |
48 m = (q - prev.q)/(a - prev.b) # a != prev.b | |
49 */ | |
50 | |
51 if (a == prev.b) { | |
52 return 0.5*(q + prev.q); | |
53 } | |
54 double m = (q - prev.q)/(a - prev.b); | |
55 double n = q - m*a; | |
56 return m*pos + n; | |
57 } | |
58 | |
59 protected final double interpolateNext(double pos) { | |
60 /* | |
61 f(next.a) = next.q | |
62 f(b) = q | |
63 | |
64 next.q = m*next.a + n | |
65 q = m*b + n <=> n = q - m*b | |
66 | |
67 q - next.q = m*(b - next.a) | |
68 m = (q - next.q)/(b - next.a) # b != next.a | |
69 */ | |
70 | |
71 if (b == next.a) { | |
72 return 0.5*(q + next.q); | |
73 } | |
74 double m = (q - next.q)/(b - next.a); | |
75 double n = q - m*b; | |
76 return m*pos + n; | |
77 } | |
78 | |
79 public double findQ(double pos) { | |
80 | |
81 Node current = this; | |
82 for (;;) { | |
83 if (pos < current.a) { | |
84 if (current.left != null) { | |
85 current = current.left; | |
86 continue; | |
87 } | |
88 return current.prev != null | |
89 ? current.interpolatePrev(pos) | |
90 : Double.NaN; | |
91 } | |
92 if (pos > current.b) { | |
93 if (current.right != null) { | |
94 current = current.right; | |
95 continue; | |
96 } | |
97 return current.next != null | |
98 ? current.interpolateNext(pos) | |
99 : Double.NaN; | |
100 } | |
101 return current.q; | |
102 } | |
103 } | |
104 } // class Node | |
105 | |
106 protected Node root; | |
107 | |
108 public QRangeTree() { | |
109 } | |
110 | |
111 public static final class AccessQAB { | |
112 private int startIndex; | |
113 | |
114 public AccessQAB(int startIndex) { | |
115 this.startIndex = startIndex; | |
116 } | |
117 | |
118 public Double getQ(Object [] row) { | |
119 return (Double)row[startIndex]; | |
120 } | |
121 | |
122 public Double getA(Object [] row) { | |
123 return (Double)row[startIndex+1]; | |
124 } | |
125 | |
126 public Double getB(Object [] row) { | |
127 return (Double)row[startIndex+2]; | |
128 } | |
129 } | |
130 | |
131 public static final AccessQAB WITH_COLUMN = new AccessQAB(1); | |
132 public static final AccessQAB WITHOUT_COLUMN = new AccessQAB(0); | |
133 | |
134 /** wstQRanges need to be sorted by range.a */ | |
135 public QRangeTree(List<Object []> qRanges, int start, int stop) { | |
136 this(qRanges, WITH_COLUMN, start, stop); | |
137 } | |
138 | |
139 public QRangeTree( | |
140 List<Object []> qRanges, | |
141 AccessQAB accessQAB, | |
142 int start, | |
143 int stop | |
144 ) { | |
145 if (stop <= start) { | |
146 return; | |
147 } | |
148 | |
149 int N = stop-start; | |
150 | |
151 List<Node> nodes = new ArrayList<Node>(N); | |
152 | |
153 Node last = null; | |
154 | |
155 for (int i = 0; i < N; ++i) { | |
156 Object [] qRange = qRanges.get(start + i); | |
157 Double q = accessQAB.getQ(qRange); | |
158 Double a = accessQAB.getA(qRange); | |
159 Double b = accessQAB.getB(qRange); | |
160 | |
161 double av = a != null ? a.doubleValue() : -Double.MAX_VALUE; | |
162 double bv = b != null ? b.doubleValue() : Double.MAX_VALUE; | |
163 double qv = q.doubleValue(); | |
164 | |
165 // If nodes are directly neighbored and Qs are the same | |
166 // join them. | |
167 if (last != null | |
168 && Math.abs(last.b - av) < EPSILON | |
169 && Math.abs(last.q - qv) < EPSILON) { | |
170 last.b = bv; | |
171 } | |
172 else { | |
173 nodes.add(last = new Node(av, bv, qv)); | |
174 } | |
175 } | |
176 | |
177 if (log.isDebugEnabled()) { | |
178 log.debug("Before/after nodes join: " + | |
179 N + "/" + nodes.size()); | |
180 } | |
181 | |
182 root = wireTree(nodes); | |
183 } | |
184 | |
185 protected static Node wireTree(List<Node> nodes) { | |
186 int N = nodes.size(); | |
187 for (int i = 0; i < N; ++i) { | |
188 Node node = nodes.get(i); | |
189 if (i > 0 ) node.prev = nodes.get(i-1); | |
190 if (i < N-1) node.next = nodes.get(i+1); | |
191 } | |
192 | |
193 return buildTree(nodes, 0, N-1); | |
194 } | |
195 | |
196 protected static Node buildTree(List<Node> nodes, int lo, int hi) { | |
197 | |
198 if (lo > hi) { | |
199 return null; | |
200 } | |
201 | |
202 int mid = (lo + hi) >> 1; | |
203 Node parent = nodes.get(mid); | |
204 | |
205 parent.left = buildTree(nodes, lo, mid-1); | |
206 parent.right = buildTree(nodes, mid+1, hi); | |
207 | |
208 return parent; | |
209 } | |
210 | |
211 public double findQ(double pos) { | |
212 return root != null ? root.findQ(pos) : Double.NaN; | |
213 } | |
214 | |
215 @Override | |
216 public String toString() { | |
217 StringBuilder sb = new StringBuilder(); | |
218 inorder(root, sb); | |
219 return sb.toString(); | |
220 } | |
221 | |
222 protected static void inorder(Node node, StringBuilder sb) { | |
223 if (node != null) { | |
224 inorder(node.left, sb); | |
225 sb.append('[') | |
226 .append(node.a) | |
227 .append(", ") | |
228 .append(node.b) | |
229 .append(": ") | |
230 .append(node.q) | |
231 .append(']'); | |
232 inorder(node.right, sb); | |
233 } | |
234 } | |
235 | |
236 private static final String name(Object o) { | |
237 return String.valueOf(System.identityHashCode(o) & 0xffffffffL); | |
238 } | |
239 | |
240 public String toGraph() { | |
241 StringBuilder sb = new StringBuilder(); | |
242 sb.append("subgraph c"); | |
243 sb.append(name(this)); | |
244 sb.append(" {\n"); | |
245 if (root != null) { | |
246 java.util.Deque<Node> stack = new java.util.ArrayDeque<Node>(); | |
247 stack.push(root); | |
248 while (!stack.isEmpty()) { | |
249 Node current = stack.pop(); | |
250 String name = "n" + name(current); | |
251 sb.append(name); | |
252 sb.append(" [label=\""); | |
253 sb.append(current.a).append(", ").append(current.b); | |
254 sb.append(": ").append(current.q).append("\"]\n"); | |
255 if (current.left != null) { | |
256 String leftName = name(current.left); | |
257 sb.append(name).append(" -- n").append(leftName).append("\n"); | |
258 stack.push(current.left); | |
259 } | |
260 if (current.right != null) { | |
261 String rightName = name(current.right); | |
262 sb.append(name).append(" -- n").append(rightName).append("\n"); | |
263 stack.push(current.right); | |
264 } | |
265 } | |
266 } | |
267 sb.append("}\n"); | |
268 return sb.toString(); | |
269 } | |
270 } | |
271 // vim:set ts=4 sw=4 si et sta sts=4 fenc=utf8 : |