Source Code Cross Referenced for ArithmeticEngine.java in  » Template-Engine » freemarker-2.3.10 » freemarker » core » Java Source Code / Java DocumentationJava Source Code and Java Documentation

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Java Source Code / Java Documentation » Template Engine » freemarker 2.3.10 » freemarker.core 
Source Cross Referenced  Class Diagram Java Document (Java Doc) 


001:        /*
002:         * Copyright (c) 2003 The Visigoth Software Society. All rights
003:         * reserved.
004:         *
005:         * Redistribution and use in source and binary forms, with or without
006:         * modification, are permitted provided that the following conditions
007:         * are met:
008:         *
009:         * 1. Redistributions of source code must retain the above copyright
010:         *    notice, this list of conditions and the following disclaimer.
011:         *
012:         * 2. Redistributions in binary form must reproduce the above copyright
013:         *    notice, this list of conditions and the following disclaimer in
014:         *    the documentation and/or other materials provided with the
015:         *    distribution.
016:         *
017:         * 3. The end-user documentation included with the redistribution, if
018:         *    any, must include the following acknowledgement:
019:         *       "This product includes software developed by the
020:         *        Visigoth Software Society (http://www.visigoths.org/)."
021:         *    Alternately, this acknowledgement may appear in the software itself,
022:         *    if and wherever such third-party acknowledgements normally appear.
023:         *
024:         * 4. Neither the name "FreeMarker", "Visigoth", nor any of the names of the 
025:         *    project contributors may be used to endorse or promote products derived
026:         *    from this software without prior written permission. For written
027:         *    permission, please contact visigoths@visigoths.org.
028:         *
029:         * 5. Products derived from this software may not be called "FreeMarker" or "Visigoth"
030:         *    nor may "FreeMarker" or "Visigoth" appear in their names
031:         *    without prior written permission of the Visigoth Software Society.
032:         *
033:         * THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESSED OR IMPLIED
034:         * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
035:         * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
036:         * DISCLAIMED.  IN NO EVENT SHALL THE VISIGOTH SOFTWARE SOCIETY OR
037:         * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
038:         * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
039:         * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF
040:         * USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
041:         * ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
042:         * OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
043:         * OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
044:         * SUCH DAMAGE.
045:         * ====================================================================
046:         *
047:         * This software consists of voluntary contributions made by many
048:         * individuals on behalf of the Visigoth Software Society. For more
049:         * information on the Visigoth Software Society, please see
050:         * http://www.visigoths.org/
051:         */
052:
053:        package freemarker.core;
054:
055:        import java.math.*;
056:        import java.util.HashMap;
057:        import java.util.Map;
058:
059:        import freemarker.template.*;
060:        import freemarker.template.utility.OptimizerUtil;
061:
062:        /**
063:         * Class to perform arithmetic operations.
064:         * @author <a href="mailto:jon@revusky.com">Jonathan Revusky</a>
065:         * @author Attila Szegedi
066:         */
067:
068:        public abstract class ArithmeticEngine {
069:
070:            /**
071:             * Arithmetic engine that converts all numbers to {@link BigDecimal} and
072:             * then operates on them. This is FreeMarker's default arithmetic engine.
073:             */
074:            public static final BigDecimalEngine BIGDECIMAL_ENGINE = new BigDecimalEngine();
075:            /**
076:             * Arithmetic engine that uses (more-or-less) the widening conversions of
077:             * Java language to determine the type of result of operation, instead of
078:             * converting everything to BigDecimal up front.
079:             */
080:            public static final ConservativeEngine CONSERVATIVE_ENGINE = new ConservativeEngine();
081:
082:            public abstract int compareNumbers(Number first, Number second)
083:                    throws TemplateException;
084:
085:            public abstract Number add(Number first, Number second)
086:                    throws TemplateException;
087:
088:            public abstract Number subtract(Number first, Number second)
089:                    throws TemplateException;
090:
091:            public abstract Number multiply(Number first, Number second)
092:                    throws TemplateException;
093:
094:            public abstract Number divide(Number first, Number second)
095:                    throws TemplateException;
096:
097:            public abstract Number modulus(Number first, Number second)
098:                    throws TemplateException;
099:
100:            public abstract Number toNumber(String s);
101:
102:            protected int minScale = 12;
103:            protected int maxScale = 12;
104:            protected int roundingPolicy = BigDecimal.ROUND_HALF_UP;
105:
106:            /**
107:             * Sets the minimal scale to use when dividing BigDecimal numbers. Default
108:             * value is 12.
109:             */
110:            public void setMinScale(int minScale) {
111:                if (minScale < 0) {
112:                    throw new IllegalArgumentException("minScale < 0");
113:                }
114:                this .minScale = minScale;
115:            }
116:
117:            /**
118:             * Sets the maximal scale to use when multiplying BigDecimal numbers. 
119:             * Default value is 100.
120:             */
121:            public void setMaxScale(int maxScale) {
122:                if (maxScale < minScale) {
123:                    throw new IllegalArgumentException("maxScale < minScale");
124:                }
125:                this .maxScale = maxScale;
126:            }
127:
128:            public void setRoundingPolicy(int roundingPolicy) {
129:                if (roundingPolicy != BigDecimal.ROUND_CEILING
130:                        && roundingPolicy != BigDecimal.ROUND_DOWN
131:                        && roundingPolicy != BigDecimal.ROUND_FLOOR
132:                        && roundingPolicy != BigDecimal.ROUND_HALF_DOWN
133:                        && roundingPolicy != BigDecimal.ROUND_HALF_EVEN
134:                        && roundingPolicy != BigDecimal.ROUND_HALF_UP
135:                        && roundingPolicy != BigDecimal.ROUND_UNNECESSARY
136:                        && roundingPolicy != BigDecimal.ROUND_UP) {
137:                    throw new IllegalArgumentException(
138:                            "invalid rounding policy");
139:                }
140:
141:                this .roundingPolicy = roundingPolicy;
142:            }
143:
144:            /**
145:             * This is the default arithmetic engine in FreeMarker. It converts every
146:             * number it receives into {@link BigDecimal}, then operates on these
147:             * converted {@link BigDecimal}s.
148:             */
149:            public static class BigDecimalEngine extends ArithmeticEngine {
150:                public int compareNumbers(Number first, Number second) {
151:                    BigDecimal left = toBigDecimal(first);
152:                    BigDecimal right = toBigDecimal(second);
153:                    return left.compareTo(right);
154:                }
155:
156:                public Number add(Number first, Number second) {
157:                    BigDecimal left = toBigDecimal(first);
158:                    BigDecimal right = toBigDecimal(second);
159:                    return left.add(right);
160:                }
161:
162:                public Number subtract(Number first, Number second) {
163:                    BigDecimal left = toBigDecimal(first);
164:                    BigDecimal right = toBigDecimal(second);
165:                    return left.subtract(right);
166:                }
167:
168:                public Number multiply(Number first, Number second) {
169:                    BigDecimal left = toBigDecimal(first);
170:                    BigDecimal right = toBigDecimal(second);
171:                    BigDecimal result = left.multiply(right);
172:                    if (result.scale() > maxScale) {
173:                        result = result.setScale(maxScale, roundingPolicy);
174:                    }
175:                    return result;
176:                }
177:
178:                public Number divide(Number first, Number second) {
179:                    BigDecimal left = toBigDecimal(first);
180:                    BigDecimal right = toBigDecimal(second);
181:                    return divide(left, right);
182:                }
183:
184:                public Number modulus(Number first, Number second) {
185:                    long left = first.longValue();
186:                    long right = second.longValue();
187:                    return new Long(left % right);
188:                }
189:
190:                public Number toNumber(String s) {
191:                    return new BigDecimal(s);
192:                }
193:
194:                private BigDecimal divide(BigDecimal left, BigDecimal right) {
195:                    int scale1 = left.scale();
196:                    int scale2 = right.scale();
197:                    int scale = Math.max(scale1, scale2);
198:                    scale = Math.max(minScale, scale);
199:                    return left.divide(right, scale, roundingPolicy);
200:                }
201:            }
202:
203:            /**
204:             * An arithmetic engine that conservatively widens the operation arguments
205:             * to extent that they can hold the result of the operation. Widening 
206:             * conversions occur in following situations:
207:             * <ul>
208:             * <li>byte and short are always widened to int (alike to Java language).</li>
209:             * <li>To preserve magnitude: when operands are of different types, the 
210:             * result type is the type of the wider operand.</li>
211:             * <li>to avoid overflows: if add, subtract, or multiply would overflow on
212:             * integer types, the result is widened from int to long, or from long to 
213:             * BigInteger.</li>
214:             * <li>to preserve fractional part: if a division of integer types would 
215:             * have a fractional part, int and long are converted to double, and 
216:             * BigInteger is converted to BigDecimal. An operation on a float and a 
217:             * long results in a double. An operation on a float or double and a
218:             * BigInteger results in a BigDecimal.</li>
219:             * </ul>
220:             */
221:            public static class ConservativeEngine extends ArithmeticEngine {
222:                private static final int INTEGER = 0;
223:                private static final int LONG = 1;
224:                private static final int FLOAT = 2;
225:                private static final int DOUBLE = 3;
226:                private static final int BIGINTEGER = 4;
227:                private static final int BIGDECIMAL = 5;
228:
229:                private static final Map classCodes = createClassCodesMap();
230:
231:                public int compareNumbers(Number first, Number second)
232:                        throws TemplateException {
233:                    switch (getCommonClassCode(first, second)) {
234:                    case INTEGER: {
235:                        int n1 = first.intValue();
236:                        int n2 = second.intValue();
237:                        return n1 < n2 ? -1 : (n1 == n2 ? 0 : 1);
238:                    }
239:                    case LONG: {
240:                        long n1 = first.longValue();
241:                        long n2 = second.longValue();
242:                        return n1 < n2 ? -1 : (n1 == n2 ? 0 : 1);
243:                    }
244:                    case FLOAT: {
245:                        float n1 = first.floatValue();
246:                        float n2 = second.floatValue();
247:                        return n1 < n2 ? -1 : (n1 == n2 ? 0 : 1);
248:                    }
249:                    case DOUBLE: {
250:                        double n1 = first.doubleValue();
251:                        double n2 = second.doubleValue();
252:                        return n1 < n2 ? -1 : (n1 == n2 ? 0 : 1);
253:                    }
254:                    case BIGINTEGER: {
255:                        BigInteger n1 = toBigInteger(first);
256:                        BigInteger n2 = toBigInteger(second);
257:                        return n1.compareTo(n2);
258:                    }
259:                    case BIGDECIMAL: {
260:                        BigDecimal n1 = toBigDecimal(first);
261:                        BigDecimal n2 = toBigDecimal(second);
262:                        return n1.compareTo(n2);
263:                    }
264:                    }
265:                    // Make the compiler happy. getCommonClassCode() is guaranteed to 
266:                    // return only above codes, or throw an exception.
267:                    throw new Error();
268:                }
269:
270:                public Number add(Number first, Number second)
271:                        throws TemplateException {
272:                    switch (getCommonClassCode(first, second)) {
273:                    case INTEGER: {
274:                        int n1 = first.intValue();
275:                        int n2 = second.intValue();
276:                        int n = n1 + n2;
277:                        return ((n ^ n1) < 0 && (n ^ n2) < 0) // overflow check
278:                        ? (Number) new Long(((long) n1) + n2)
279:                                : (Number) new Integer(n);
280:                    }
281:                    case LONG: {
282:                        long n1 = first.longValue();
283:                        long n2 = second.longValue();
284:                        long n = n1 + n2;
285:                        return ((n ^ n1) < 0 && (n ^ n2) < 0) // overflow check
286:                        ? (Number) toBigInteger(first)
287:                                .add(toBigInteger(second))
288:                                : (Number) new Long(n);
289:                    }
290:                    case FLOAT: {
291:                        return new Float(first.floatValue()
292:                                + second.floatValue());
293:                    }
294:                    case DOUBLE: {
295:                        return new Double(first.doubleValue()
296:                                + second.doubleValue());
297:                    }
298:                    case BIGINTEGER: {
299:                        BigInteger n1 = toBigInteger(first);
300:                        BigInteger n2 = toBigInteger(second);
301:                        return n1.add(n2);
302:                    }
303:                    case BIGDECIMAL: {
304:                        BigDecimal n1 = toBigDecimal(first);
305:                        BigDecimal n2 = toBigDecimal(second);
306:                        return n1.add(n2);
307:                    }
308:                    }
309:                    // Make the compiler happy. getCommonClassCode() is guaranteed to 
310:                    // return only above codes, or throw an exception.
311:                    throw new Error();
312:                }
313:
314:                public Number subtract(Number first, Number second)
315:                        throws TemplateException {
316:                    switch (getCommonClassCode(first, second)) {
317:                    case INTEGER: {
318:                        int n1 = first.intValue();
319:                        int n2 = second.intValue();
320:                        int n = n1 - n2;
321:                        return ((n ^ n1) < 0 && (n ^ ~n2) < 0) // overflow check
322:                        ? (Number) new Long(((long) n1) - n2)
323:                                : (Number) new Integer(n);
324:                    }
325:                    case LONG: {
326:                        long n1 = first.longValue();
327:                        long n2 = second.longValue();
328:                        long n = n1 - n2;
329:                        return ((n ^ n1) < 0 && (n ^ ~n2) < 0) // overflow check
330:                        ? (Number) toBigInteger(first).subtract(
331:                                toBigInteger(second))
332:                                : (Number) new Long(n);
333:                    }
334:                    case FLOAT: {
335:                        return new Float(first.floatValue()
336:                                - second.floatValue());
337:                    }
338:                    case DOUBLE: {
339:                        return new Double(first.doubleValue()
340:                                - second.doubleValue());
341:                    }
342:                    case BIGINTEGER: {
343:                        BigInteger n1 = toBigInteger(first);
344:                        BigInteger n2 = toBigInteger(second);
345:                        return n1.subtract(n2);
346:                    }
347:                    case BIGDECIMAL: {
348:                        BigDecimal n1 = toBigDecimal(first);
349:                        BigDecimal n2 = toBigDecimal(second);
350:                        return n1.subtract(n2);
351:                    }
352:                    }
353:                    // Make the compiler happy. getCommonClassCode() is guaranteed to 
354:                    // return only above codes, or throw an exception.
355:                    throw new Error();
356:                }
357:
358:                public Number multiply(Number first, Number second)
359:                        throws TemplateException {
360:                    switch (getCommonClassCode(first, second)) {
361:                    case INTEGER: {
362:                        int n1 = first.intValue();
363:                        int n2 = second.intValue();
364:                        int n = n1 * n2;
365:                        return n1 == 0 || n / n1 == n2 // overflow check
366:                        ? (Number) new Integer(n) : (Number) new Long(
367:                                ((long) n1) * n2);
368:                    }
369:                    case LONG: {
370:                        long n1 = first.longValue();
371:                        long n2 = second.longValue();
372:                        long n = n1 * n2;
373:                        return n1 == 0L || n / n1 == n2 // overflow check
374:                        ? (Number) new Long(n) : (Number) toBigInteger(first)
375:                                .multiply(toBigInteger(second));
376:                    }
377:                    case FLOAT: {
378:                        return new Float(first.floatValue()
379:                                * second.floatValue());
380:                    }
381:                    case DOUBLE: {
382:                        return new Double(first.doubleValue()
383:                                * second.doubleValue());
384:                    }
385:                    case BIGINTEGER: {
386:                        BigInteger n1 = toBigInteger(first);
387:                        BigInteger n2 = toBigInteger(second);
388:                        return n1.multiply(n2);
389:                    }
390:                    case BIGDECIMAL: {
391:                        BigDecimal n1 = toBigDecimal(first);
392:                        BigDecimal n2 = toBigDecimal(second);
393:                        BigDecimal r = n1.multiply(n2);
394:                        return r.scale() > maxScale ? r.setScale(maxScale,
395:                                roundingPolicy) : r;
396:                    }
397:                    }
398:                    // Make the compiler happy. getCommonClassCode() is guaranteed to 
399:                    // return only above codes, or throw an exception.
400:                    throw new Error();
401:                }
402:
403:                public Number divide(Number first, Number second)
404:                        throws TemplateException {
405:                    switch (getCommonClassCode(first, second)) {
406:                    case INTEGER: {
407:                        int n1 = first.intValue();
408:                        int n2 = second.intValue();
409:                        if (n1 % n2 == 0) {
410:                            return new Integer(n1 / n2);
411:                        }
412:                        return new Double(((double) n1) / n2);
413:                    }
414:                    case LONG: {
415:                        long n1 = first.longValue();
416:                        long n2 = second.longValue();
417:                        if (n1 % n2 == 0) {
418:                            return new Long(n1 / n2);
419:                        }
420:                        return new Double(((double) n1) / n2);
421:                    }
422:                    case FLOAT: {
423:                        return new Float(first.floatValue()
424:                                / second.floatValue());
425:                    }
426:                    case DOUBLE: {
427:                        return new Double(first.doubleValue()
428:                                / second.doubleValue());
429:                    }
430:                    case BIGINTEGER: {
431:                        BigInteger n1 = toBigInteger(first);
432:                        BigInteger n2 = toBigInteger(second);
433:                        BigInteger[] divmod = n1.divideAndRemainder(n2);
434:                        if (divmod[1].equals(BigInteger.ZERO)) {
435:                            return divmod[0];
436:                        } else {
437:                            BigDecimal bd1 = new BigDecimal(n1);
438:                            BigDecimal bd2 = new BigDecimal(n2);
439:                            return bd1.divide(bd2, minScale, roundingPolicy);
440:                        }
441:                    }
442:                    case BIGDECIMAL: {
443:                        BigDecimal n1 = toBigDecimal(first);
444:                        BigDecimal n2 = toBigDecimal(second);
445:                        int scale1 = n1.scale();
446:                        int scale2 = n2.scale();
447:                        int scale = Math.max(scale1, scale2);
448:                        scale = Math.max(minScale, scale);
449:                        return n1.divide(n2, scale, roundingPolicy);
450:                    }
451:                    }
452:                    // Make the compiler happy. getCommonClassCode() is guaranteed to 
453:                    // return only above codes, or throw an exception.
454:                    throw new Error();
455:                }
456:
457:                public Number modulus(Number first, Number second)
458:                        throws TemplateException {
459:                    switch (getCommonClassCode(first, second)) {
460:                    case INTEGER: {
461:                        return new Integer(first.intValue() % second.intValue());
462:                    }
463:                    case LONG: {
464:                        return new Long(first.longValue() % second.longValue());
465:                    }
466:                    case FLOAT: {
467:                        return new Float(first.floatValue()
468:                                % second.floatValue());
469:                    }
470:                    case DOUBLE: {
471:                        return new Double(first.doubleValue()
472:                                % second.doubleValue());
473:                    }
474:                    case BIGINTEGER: {
475:                        BigInteger n1 = toBigInteger(first);
476:                        BigInteger n2 = toBigInteger(second);
477:                        return n1.mod(n2);
478:                    }
479:                    case BIGDECIMAL: {
480:                        throw new TemplateException(
481:                                "Can't calculate remainder on BigDecimals",
482:                                Environment.getCurrentEnvironment());
483:                    }
484:                    }
485:                    // Make the compiler happy. getCommonClassCode() is guaranteed to 
486:                    // return only above codes, or throw an exception.
487:                    throw new Error();
488:                }
489:
490:                public Number toNumber(String s) {
491:                    return OptimizerUtil
492:                            .optimizeNumberRepresentation(new BigDecimal(s));
493:                }
494:
495:                private static Map createClassCodesMap() {
496:                    Map map = new HashMap(17);
497:                    Integer intcode = new Integer(INTEGER);
498:                    map.put(Byte.class, intcode);
499:                    map.put(Short.class, intcode);
500:                    map.put(Integer.class, intcode);
501:                    map.put(Long.class, new Integer(LONG));
502:                    map.put(Float.class, new Integer(FLOAT));
503:                    map.put(Double.class, new Integer(DOUBLE));
504:                    map.put(BigInteger.class, new Integer(BIGINTEGER));
505:                    map.put(BigDecimal.class, new Integer(BIGDECIMAL));
506:                    return map;
507:                }
508:
509:                private static int getClassCode(Number num)
510:                        throws TemplateException {
511:                    try {
512:                        return ((Integer) classCodes.get(num.getClass()))
513:                                .intValue();
514:                    } catch (NullPointerException e) {
515:                        if (num == null) {
516:                            throw new TemplateException(
517:                                    "Unknown number type null", Environment
518:                                            .getCurrentEnvironment());
519:                        }
520:                        throw new TemplateException("Unknown number type "
521:                                + num.getClass().getName(), Environment
522:                                .getCurrentEnvironment());
523:                    }
524:                }
525:
526:                private static int getCommonClassCode(Number num1, Number num2)
527:                        throws TemplateException {
528:                    int c1 = getClassCode(num1);
529:                    int c2 = getClassCode(num2);
530:                    int c = c1 > c2 ? c1 : c2;
531:                    // If BigInteger is combined with a Float or Double, the result is a
532:                    // BigDecimal instead of BigInteger in order not to lose the 
533:                    // fractional parts. If Float is combined with Long, the result is a
534:                    // Double instead of Float to preserve the bigger bit width.
535:                    switch (c) {
536:                    case FLOAT: {
537:                        if ((c1 < c2 ? c1 : c2) == LONG) {
538:                            return DOUBLE;
539:                        }
540:                        break;
541:                    }
542:                    case BIGINTEGER: {
543:                        int min = c1 < c2 ? c1 : c2;
544:                        if (min == DOUBLE || min == FLOAT) {
545:                            return BIGDECIMAL;
546:                        }
547:                        break;
548:                    }
549:                    }
550:                    return c;
551:                }
552:
553:                private static BigInteger toBigInteger(Number num) {
554:                    return num instanceof  BigInteger ? (BigInteger) num
555:                            : new BigInteger(num.toString());
556:                }
557:            }
558:
559:            private static BigDecimal toBigDecimal(Number num) {
560:                return num instanceof  BigDecimal ? (BigDecimal) num
561:                        : new BigDecimal(num.toString());
562:            }
563:        }
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