DGtal 1.3.0
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ArithmeticalDSLKernel.ih
1/**
2 * This program is free software: you can redistribute it and/or modify
3 * it under the terms of the GNU Lesser General Public License as
4 * published by the Free Software Foundation, either version 3 of the
5 * License, or (at your option) any later version.
6 *
7 * This program is distributed in the hope that it will be useful,
8 * but WITHOUT ANY WARRANTY; without even the implied warranty of
9 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
10 * GNU General Public License for more details.
11 *
12 * You should have received a copy of the GNU General Public License
13 * along with this program. If not, see <http://www.gnu.org/licenses/>.
14 *
15 **/
16
17/**
18 * @file ArithmeticalDSLKernel.ih
19 * @author Tristan Roussillon (\c tristan.roussillon@liris.cnrs.fr )
20 * Laboratoire d'InfoRmatique en Image et Systèmes d'information - LIRIS (CNRS, UMR 5205), CNRS, France
21 *
22 * @date 2013/07/02
23 *
24 * Implementation of inline methods defined in ArithmeticalDSLKernel.h
25 *
26 * This file is part of the DGtal library.
27 */
28
29
30//////////////////////////////////////////////////////////////////////////////
31#include <cstdlib>
32//////////////////////////////////////////////////////////////////////////////
33
34///////////////////////////////////////////////////////////////////////////////
35// IMPLEMENTATION of inline methods.
36///////////////////////////////////////////////////////////////////////////////
37
38///////////////////////////////////////////////////////////////////////////////
39// ----------------------------------------------------------------------------
40template <typename TCoordinate, unsigned short adjacency>
41template <typename TInteger>
42inline
43typename DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::Vector
44DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>
45::shift(const TInteger& a, const TInteger& b)
46{
47 Vector res;
48 if (b == NumberTraits<TInteger>::ZERO)
49 {
50 if (a == NumberTraits<TInteger>::ZERO) //no octant
51 res = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
52 else if (a > NumberTraits<TInteger>::ZERO) //octant 2
53 res = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
54 else // (a < 0) //octant 6
55 res = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
56 }
57 else if (b > NumberTraits<TInteger>::ZERO)
58 {
59 if (a == NumberTraits<TInteger>::ZERO) //octant 0
60 res = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
61 else if (a > NumberTraits<TInteger>::ZERO)
62 {
63 if (b > a) //octant 0
64 res = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
65 else //octant 1
66 res = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
67 }
68 else // (a < 0)
69 {
70 if (b >= -a) //octant 7
71 res = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
72 else //octant 6
73 res = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
74 }
75 }
76 else // (b < 0)
77 {
78 if (a == NumberTraits<TInteger>::ZERO) //octant 4
79 res = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
80 else if (a > NumberTraits<TInteger>::ZERO)
81 {
82 if (-b >= a) //octant 3
83 res = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
84 else //octant 2
85 res = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
86 }
87 else // (a < 0)
88 {
89 if (-b > -a) //octant 4
90 res = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
91 else //octant 5
92 res = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
93 }
94 }
95 return res;
96}
97
98// ----------------------------------------------------------------------------
99template <typename TCoordinate, unsigned short adjacency>
100template <typename TInteger>
101inline
102typename DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>::Steps
103DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>
104::steps(const TInteger& a, const TInteger& b)
105{
106 Steps steps;
107 if (b == NumberTraits<TInteger>::ZERO)
108 {
109 if (a == NumberTraits<TInteger>::ZERO)
110 { //no octant
111 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
112 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
113 }
114 else if (a > NumberTraits<TInteger>::ZERO)
115 { //octant 2
116 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
117 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
118 }
119 else // (a < 0)
120 { //octant 6
121 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
122 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
123 }
124 }
125 else if (b > NumberTraits<TInteger>::ZERO)
126 {
127 if (a == NumberTraits<TInteger>::ZERO)
128 { //octant 0
129 steps.first = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
130 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
131 }
132 else if (a > NumberTraits<TInteger>::ZERO)
133 {
134 if (b == a)
135 {
136 steps.first = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
137 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
138 }
139 else if (b > a)
140 { //octant 0
141 steps.first = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
142 steps.second = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
143 }
144 else // (b < a)
145 { //octant 1
146 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
147 steps.first = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
148 }
149 }
150 else //(a < 0)
151 {
152 if (b == -a)
153 {
154 steps.first = Vector(NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
155 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
156 }
157 else if (b > -a)
158 { //octant 7
159 steps.second = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
160 steps.first = Vector(NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
161 }
162 else // (b < -a)
163 { //octant 6
164 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
165 steps.second = Vector(NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
166 }
167 }
168 }
169 else // (b < 0)
170 {
171 if (a == NumberTraits<TInteger>::ZERO)
172 { //octant 4
173 steps.first = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
174 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
175 }
176 else if (a > NumberTraits<TInteger>::ZERO)
177 {
178 if (-b == a)
179 {
180 steps.first = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
181 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
182 }
183 else if (-b > a)
184 { //octant 3
185 steps.second = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
186 steps.first = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
187 }
188 else // (-b < a)
189 { //octant 2
190 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
191 steps.second = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
192 }
193 }
194 else // (a < 0)
195 {
196 if (-b == -a)
197 {
198 steps.first = Vector(-NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
199 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
200 }
201 else if (-b > -a)
202 { //octant 4
203 steps.first = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
204 steps.second = Vector(-NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
205 }
206 else // (-b < -a)
207 { //octant 5
208 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
209 steps.first = Vector(-NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
210 }
211 }
212 }
213 return steps;
214}
215
216// ----------------------------------------------------------------------------
217template <typename TCoordinate, unsigned short adjacency>
218template <typename TInteger>
219inline
220TInteger
221DGtal::ArithmeticalDSLKernel<TCoordinate,adjacency>
222::norm(const TInteger& a, const TInteger& b)
223{
224 if (b >= NumberTraits<TInteger>::ZERO)
225 {
226 if (a >= NumberTraits<TInteger>::ZERO)
227 {
228 if (b >= a)
229 return b;
230 else
231 return a;
232 }
233 else
234 {
235 if (b >= -a)
236 return b;
237 else
238 return -a;
239 }
240 }
241 else
242 {
243 if (a >= NumberTraits<TInteger>::ZERO)
244 {
245 if (-b >= a)
246 return -b;
247 else
248 return a;
249 }
250 else
251 {
252 if (-b >= -a)
253 return -b;
254 else
255 return -a;
256 }
257 }
258}
259
260// ----------------------------------------------------------------------------
261template <typename TCoordinate>
262template <typename TInteger>
263inline
264typename DGtal::ArithmeticalDSLKernel<TCoordinate,4>::Vector
265DGtal::ArithmeticalDSLKernel<TCoordinate,4>
266::shift(const TInteger& a, const TInteger& b)
267{
268 Vector res;
269 if (b == NumberTraits<TInteger>::ZERO)
270 {
271 if (a == NumberTraits<TInteger>::ZERO)
272 { //no quadrant
273 res = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
274 }
275 else if (a > NumberTraits<TInteger>::ZERO)
276 { //quadrant 1
277 res = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
278 }
279 else // (a < 0)
280 { //quadrant 3
281 res = Vector(-NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
282 }
283 }
284 else if (b > NumberTraits<TInteger>::ZERO)
285 {
286 if (a >= NumberTraits<TInteger>::ZERO)
287 { //quadrant 0
288 res = Vector(NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
289 }
290 else // (a < 0)
291 { //quadrant 3
292 res = Vector(-NumberTraits<TCoordinate>::ONE,-NumberTraits<TCoordinate>::ONE);
293 }
294 }
295 else // (b < 0)
296 {
297 if (a > NumberTraits<TInteger>::ZERO)
298 { //quadrant 1
299 res = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
300 }
301 else // (a <= 0)
302 { //quadrant 2
303 res = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ONE);
304 }
305 }
306 return res;
307}
308
309// ----------------------------------------------------------------------------
310template <typename TCoordinate>
311template <typename TInteger>
312inline
313typename DGtal::ArithmeticalDSLKernel<TCoordinate,4>::Steps
314DGtal::ArithmeticalDSLKernel<TCoordinate,4>
315::steps(const TInteger& a, const TInteger& b)
316{
317 Steps steps;
318 if (b == NumberTraits<TInteger>::ZERO)
319 {
320 if (a == NumberTraits<TInteger>::ZERO)
321 { //no quadrant
322 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
323 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
324 }
325 else if (a > NumberTraits<TInteger>::ZERO)
326 {
327 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
328 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
329 }
330 else // (a < 0)
331 {
332 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
333 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
334 }
335 }
336 else if (b > NumberTraits<TInteger>::ZERO)
337 {
338 if (a == NumberTraits<TInteger>::ZERO)
339 {
340 steps.first = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
341 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
342 }
343 else if (a > NumberTraits<TInteger>::ZERO)
344 { //quadrant 0
345 steps.first = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
346 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
347 }
348 else // (a < 0)
349 { //quadrant 3
350 steps.second = Vector(NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
351 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
352 }
353 }
354 else // (b < 0)
355 {
356 if (a == NumberTraits<TInteger>::ZERO)
357 {
358 steps.first = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
359 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ZERO);
360 }
361 else if (a > NumberTraits<TInteger>::ZERO)
362 { //quadrant 1
363 steps.second = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
364 steps.first = Vector(NumberTraits<TCoordinate>::ZERO,NumberTraits<TCoordinate>::ONE);
365 }
366 else // (a < 0)
367 { //quadrant 2
368 steps.first = Vector(-NumberTraits<TCoordinate>::ONE,NumberTraits<TCoordinate>::ZERO);
369 steps.second = Vector(NumberTraits<TCoordinate>::ZERO,-NumberTraits<TCoordinate>::ONE);
370 }
371 }
372 return steps;
373}
374
375// ----------------------------------------------------------------------------
376template <typename TCoordinate>
377template <typename TInteger>
378inline
379TInteger
380DGtal::ArithmeticalDSLKernel<TCoordinate,4>
381::norm(const TInteger& a, const TInteger& b)
382{
383 if (b >= NumberTraits<TInteger>::ZERO)
384 {
385 if (a >= NumberTraits<TInteger>::ZERO)
386 return b+a;
387 else
388 return b-a;
389 }
390 else
391 {
392 if (a >= NumberTraits<TInteger>::ZERO)
393 return -b+a;
394 else
395 return -b-a;
396 }
397}
398
399
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