001/*
002 * Licensed to the Apache Software Foundation (ASF) under one or more
003 * contributor license agreements.  See the NOTICE file distributed with
004 * this work for additional information regarding copyright ownership.
005 * The ASF licenses this file to You under the Apache License, Version 2.0
006 * (the "License"); you may not use this file except in compliance with
007 * the License.  You may obtain a copy of the License at
008 *
009 *      http://www.apache.org/licenses/LICENSE-2.0
010 *
011 * Unless required by applicable law or agreed to in writing, software
012 * distributed under the License is distributed on an "AS IS" BASIS,
013 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
014 * See the License for the specific language governing permissions and
015 * limitations under the License.
016 */
017
018package org.apache.commons.math4.legacy.ode.events;
019
020import org.apache.commons.math4.legacy.exception.MathInternalError;
021
022/** Enumerate for {@link EventFilter filtering events}.
023 *
024 * @since 3.2
025 */
026
027public enum FilterType {
028
029    /** Constant for triggering only decreasing events.
030     * <p>When this filter is used, the wrapped {@link EventHandler
031     * event handler} {@link EventHandler#eventOccurred(double, double[],
032     * boolean) eventOccurred} method will be called <em>only</em> with
033     * its {@code increasing} argument set to false.</p>
034     */
035    TRIGGER_ONLY_DECREASING_EVENTS {
036
037        /**  {@inheritDoc} */
038        @Override
039        protected boolean getTriggeredIncreasing() {
040            return false;
041        }
042
043        /** {@inheritDoc}
044         * <p>
045         * states scheduling for computing h(t,y) as an altered version of g(t, y)
046         * <ul>
047         * <li>0 are triggered events for which a zero is produced (here decreasing events)</li>
048         * <li>X are ignored events for which zero is masked (here increasing events)</li>
049         * </ul>
050         * </p>
051         * <pre>
052         *  g(t)
053         *             ___                     ___                     ___
054         *            /   \                   /   \                   /   \
055         *           /     \                 /     \                 /     \
056         *          /  g>0  \               /  g>0  \               /  g>0  \
057         *         /         \             /         \             /         \
058         *  ----- X --------- 0 --------- X --------- 0 --------- X --------- 0 ---
059         *       /             \         /             \         /             \
060         *      /               \ g<0   /               \  g<0  /               \ g<0
061         *     /                 \     /                 \     /                 \     /
062         * ___/                   \___/                   \___/                   \___/
063         * </pre>
064         * <pre>
065         *  h(t,y)) as an alteration of g(t,y)
066         *             ___                                 ___         ___
067         *    \       /   \                               /   \       /   \
068         *     \     /     \ h=+g                        /     \     /     \
069         *      \   /       \      h=min(-s,-g,+g)      /       \   /       \
070         *       \_/         \                         /         \_/         \
071         *  ------ ---------- 0 ----------_---------- 0 --------------------- 0 ---
072         *                     \         / \         /                         \
073         *   h=max(+s,-g,+g)    \       /   \       /       h=max(+s,-g,+g)     \
074         *                       \     /     \     / h=-g                        \     /
075         *                        \___/       \___/                               \___/
076         * </pre>
077         * <p>
078         * As shown by the figure above, several expressions are used to compute h,
079         * depending on the current state:
080         * <ul>
081         *   <li>h = max(+s,-g,+g)</li>
082         *   <li>h = +g</li>
083         *   <li>h = min(-s,-g,+g)</li>
084         *   <li>h = -g</li>
085         * </ul>
086         * where s is a tiny positive value: {@link org.apache.commons.numbers.core.Precision#SAFE_MIN}.
087         * </p>
088         */
089        @Override
090        protected  Transformer selectTransformer(final Transformer previous,
091                                                 final double g, final boolean forward) {
092            if (forward) {
093                switch (previous) {
094                    case UNINITIALIZED :
095                        // we are initializing the first point
096                        if (g > 0) {
097                            // initialize as if previous root (i.e. backward one) was an ignored increasing event
098                            return Transformer.MAX;
099                        } else if (g < 0) {
100                            // initialize as if previous root (i.e. backward one) was a triggered decreasing event
101                            return Transformer.PLUS;
102                        } else {
103                            // we are exactly at a root, we don't know if it is an increasing
104                            // or a decreasing event, we remain in uninitialized state
105                            return Transformer.UNINITIALIZED;
106                        }
107                    case PLUS  :
108                        if (g >= 0) {
109                            // we have crossed the zero line on an ignored increasing event,
110                            // we must change the transformer
111                            return Transformer.MIN;
112                        } else {
113                            // we are still in the same status
114                            return previous;
115                        }
116                    case MINUS :
117                        if (g >= 0) {
118                            // we have crossed the zero line on an ignored increasing event,
119                            // we must change the transformer
120                            return Transformer.MAX;
121                        } else {
122                            // we are still in the same status
123                            return previous;
124                        }
125                    case MIN   :
126                        if (g <= 0) {
127                            // we have crossed the zero line on a triggered decreasing event,
128                            // we must change the transformer
129                            return Transformer.MINUS;
130                        } else {
131                            // we are still in the same status
132                            return previous;
133                        }
134                    case MAX   :
135                        if (g <= 0) {
136                            // we have crossed the zero line on a triggered decreasing event,
137                            // we must change the transformer
138                            return Transformer.PLUS;
139                        } else {
140                            // we are still in the same status
141                            return previous;
142                        }
143                    default    :
144                        // this should never happen
145                        throw new MathInternalError();
146                }
147            } else {
148                switch (previous) {
149                    case UNINITIALIZED :
150                        // we are initializing the first point
151                        if (g > 0) {
152                            // initialize as if previous root (i.e. forward one) was a triggered decreasing event
153                            return Transformer.MINUS;
154                        } else if (g < 0) {
155                            // initialize as if previous root (i.e. forward one) was an ignored increasing event
156                            return Transformer.MIN;
157                        } else {
158                            // we are exactly at a root, we don't know if it is an increasing
159                            // or a decreasing event, we remain in uninitialized state
160                            return Transformer.UNINITIALIZED;
161                        }
162                    case PLUS  :
163                        if (g <= 0) {
164                            // we have crossed the zero line on an ignored increasing event,
165                            // we must change the transformer
166                            return Transformer.MAX;
167                        } else {
168                            // we are still in the same status
169                            return previous;
170                        }
171                    case MINUS :
172                        if (g <= 0) {
173                            // we have crossed the zero line on an ignored increasing event,
174                            // we must change the transformer
175                            return Transformer.MIN;
176                        } else {
177                            // we are still in the same status
178                            return previous;
179                        }
180                    case MIN   :
181                        if (g >= 0) {
182                            // we have crossed the zero line on a triggered decreasing event,
183                            // we must change the transformer
184                            return Transformer.PLUS;
185                        } else {
186                            // we are still in the same status
187                            return previous;
188                        }
189                    case MAX   :
190                        if (g >= 0) {
191                            // we have crossed the zero line on a triggered decreasing event,
192                            // we must change the transformer
193                            return Transformer.MINUS;
194                        } else {
195                            // we are still in the same status
196                            return previous;
197                        }
198                    default    :
199                        // this should never happen
200                        throw new MathInternalError();
201                }
202            }
203        }
204    },
205
206    /** Constant for triggering only increasing events.
207     * <p>When this filter is used, the wrapped {@link EventHandler
208     * event handler} {@link EventHandler#eventOccurred(double, double[],
209     * boolean) eventOccurred} method will be called <em>only</em> with
210     * its {@code increasing} argument set to true.</p>
211     */
212    TRIGGER_ONLY_INCREASING_EVENTS {
213
214        /**  {@inheritDoc} */
215        @Override
216        protected boolean getTriggeredIncreasing() {
217            return true;
218        }
219
220        /** {@inheritDoc}
221         * <p>
222         * states scheduling for computing h(t,y) as an altered version of g(t, y)
223         * <ul>
224         * <li>0 are triggered events for which a zero is produced (here increasing events)</li>
225         * <li>X are ignored events for which zero is masked (here decreasing events)</li>
226         * </ul>
227         * </p>
228         * <pre>
229         *  g(t)
230         *             ___                     ___                     ___
231         *            /   \                   /   \                   /   \
232         *           /     \                 /     \                 /     \
233         *          /  g>0  \               /  g>0  \               /  g>0  \
234         *         /         \             /         \             /         \
235         *  ----- 0 --------- X --------- 0 --------- X --------- 0 --------- X ---
236         *       /             \         /             \         /             \
237         *      /               \ g<0   /               \  g<0  /               \ g<0
238         *     /                 \     /                 \     /                 \     /
239         * ___/                   \___/                   \___/                   \___/
240         * </pre>
241         * <pre>
242         *  h(t,y)) as an alteration of g(t,y)
243         *                                     ___         ___
244         *    \                               /   \       /   \
245         *     \ h=-g                        /     \     /     \ h=-g
246         *      \      h=min(-s,-g,+g)      /       \   /       \      h=min(-s,-g,+g)
247         *       \                         /         \_/         \
248         *  ------0 ----------_---------- 0 --------------------- 0 --------- _ ---
249         *         \         / \         /                         \         / \
250         *          \       /   \       /       h=max(+s,-g,+g)     \       /   \
251         *           \     /     \     / h=+g                        \     /     \     /
252         *            \___/       \___/                               \___/       \___/
253         * </pre>
254         * <p>
255         * As shown by the figure above, several expressions are used to compute h,
256         * depending on the current state:
257         * <ul>
258         *   <li>h = max(+s,-g,+g)</li>
259         *   <li>h = +g</li>
260         *   <li>h = min(-s,-g,+g)</li>
261         *   <li>h = -g</li>
262         * </ul>
263         * where s is a tiny positive value: {@link org.apache.commons.numbers.core.Precision#SAFE_MIN}.
264         * </p>
265         */
266        @Override
267        protected  Transformer selectTransformer(final Transformer previous,
268                                                 final double g, final boolean forward) {
269            if (forward) {
270                switch (previous) {
271                    case UNINITIALIZED :
272                        // we are initializing the first point
273                        if (g > 0) {
274                            // initialize as if previous root (i.e. backward one) was a triggered increasing event
275                            return Transformer.PLUS;
276                        } else if (g < 0) {
277                            // initialize as if previous root (i.e. backward one) was an ignored decreasing event
278                            return Transformer.MIN;
279                        } else {
280                            // we are exactly at a root, we don't know if it is an increasing
281                            // or a decreasing event, we remain in uninitialized state
282                            return Transformer.UNINITIALIZED;
283                        }
284                    case PLUS  :
285                        if (g <= 0) {
286                            // we have crossed the zero line on an ignored decreasing event,
287                            // we must change the transformer
288                            return Transformer.MAX;
289                        } else {
290                            // we are still in the same status
291                            return previous;
292                        }
293                    case MINUS :
294                        if (g <= 0) {
295                            // we have crossed the zero line on an ignored decreasing event,
296                            // we must change the transformer
297                            return Transformer.MIN;
298                        } else {
299                            // we are still in the same status
300                            return previous;
301                        }
302                    case MIN   :
303                        if (g >= 0) {
304                            // we have crossed the zero line on a triggered increasing event,
305                            // we must change the transformer
306                            return Transformer.PLUS;
307                        } else {
308                            // we are still in the same status
309                            return previous;
310                        }
311                    case MAX   :
312                        if (g >= 0) {
313                            // we have crossed the zero line on a triggered increasing event,
314                            // we must change the transformer
315                            return Transformer.MINUS;
316                        } else {
317                            // we are still in the same status
318                            return previous;
319                        }
320                    default    :
321                        // this should never happen
322                        throw new MathInternalError();
323                }
324            } else {
325                switch (previous) {
326                    case UNINITIALIZED :
327                        // we are initializing the first point
328                        if (g > 0) {
329                            // initialize as if previous root (i.e. forward one) was an ignored decreasing event
330                            return Transformer.MAX;
331                        } else if (g < 0) {
332                            // initialize as if previous root (i.e. forward one) was a triggered increasing event
333                            return Transformer.MINUS;
334                        } else {
335                            // we are exactly at a root, we don't know if it is an increasing
336                            // or a decreasing event, we remain in uninitialized state
337                            return Transformer.UNINITIALIZED;
338                        }
339                    case PLUS  :
340                        if (g >= 0) {
341                            // we have crossed the zero line on an ignored decreasing event,
342                            // we must change the transformer
343                            return Transformer.MIN;
344                        } else {
345                            // we are still in the same status
346                            return previous;
347                        }
348                    case MINUS :
349                        if (g >= 0) {
350                            // we have crossed the zero line on an ignored decreasing event,
351                            // we must change the transformer
352                            return Transformer.MAX;
353                        } else {
354                            // we are still in the same status
355                            return previous;
356                        }
357                    case MIN   :
358                        if (g <= 0) {
359                            // we have crossed the zero line on a triggered increasing event,
360                            // we must change the transformer
361                            return Transformer.MINUS;
362                        } else {
363                            // we are still in the same status
364                            return previous;
365                        }
366                    case MAX   :
367                        if (g <= 0) {
368                            // we have crossed the zero line on a triggered increasing event,
369                            // we must change the transformer
370                            return Transformer.PLUS;
371                        } else {
372                            // we are still in the same status
373                            return previous;
374                        }
375                    default    :
376                        // this should never happen
377                        throw new MathInternalError();
378                }
379            }
380        }
381    };
382
383    /** Get the increasing status of triggered events.
384     * @return true if triggered events are increasing events
385     */
386    protected abstract boolean getTriggeredIncreasing();
387
388    /** Get next function transformer in the specified direction.
389     * @param previous transformer active on the previous point with respect
390     * to integration direction (may be null if no previous point is known)
391     * @param g current value of the g function
392     * @param forward true if integration goes forward
393     * @return next transformer transformer
394     */
395    protected abstract Transformer selectTransformer(Transformer previous,
396                                                     double g, boolean forward);
397}