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 * https://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
18 /*
19 * This is not the original file distributed by the Apache Software Foundation
20 * It has been modified by the Hipparchus project
21 */
22
23 package org.hipparchus.complex;
24
25 import java.text.FieldPosition;
26 import java.text.NumberFormat;
27 import java.text.ParsePosition;
28 import java.util.Locale;
29
30 import org.hipparchus.exception.LocalizedCoreFormats;
31 import org.hipparchus.exception.MathIllegalArgumentException;
32 import org.hipparchus.exception.MathIllegalStateException;
33 import org.hipparchus.exception.NullArgumentException;
34 import org.hipparchus.util.CompositeFormat;
35 import org.hipparchus.util.MathUtils;
36
37 /**
38 * Formats a Complex number in cartesian format "Re(c) + Im(c)i". 'i' can
39 * be replaced with 'j' (or anything else), and the number format for both real
40 * and imaginary parts can be configured.
41 */
42 public class ComplexFormat {
43
44 /** The default imaginary character. */
45 private static final String DEFAULT_IMAGINARY_CHARACTER = "i";
46 /** The notation used to signify the imaginary part of the complex number. */
47 private final String imaginaryCharacter;
48 /** The format used for the imaginary part. */
49 private final NumberFormat imaginaryFormat;
50 /** The format used for the real part. */
51 private final NumberFormat realFormat;
52
53 /**
54 * Create an instance with the default imaginary character, 'i', and the
55 * default number format for both real and imaginary parts.
56 */
57 public ComplexFormat() {
58 this.imaginaryCharacter = DEFAULT_IMAGINARY_CHARACTER;
59 this.imaginaryFormat = CompositeFormat.getDefaultNumberFormat();
60 this.realFormat = imaginaryFormat;
61 }
62
63 /**
64 * Create an instance with a custom number format for both real and
65 * imaginary parts.
66 * @param format the custom format for both real and imaginary parts.
67 * @throws NullArgumentException if {@code realFormat} is {@code null}.
68 */
69 public ComplexFormat(NumberFormat format) throws NullArgumentException {
70 MathUtils.checkNotNull(format, LocalizedCoreFormats.IMAGINARY_FORMAT);
71 this.imaginaryCharacter = DEFAULT_IMAGINARY_CHARACTER;
72 this.imaginaryFormat = format;
73 this.realFormat = format;
74 }
75
76 /**
77 * Create an instance with a custom number format for the real part and a
78 * custom number format for the imaginary part.
79 * @param realFormat the custom format for the real part.
80 * @param imaginaryFormat the custom format for the imaginary part.
81 * @throws NullArgumentException if {@code imaginaryFormat} is {@code null}.
82 * @throws NullArgumentException if {@code realFormat} is {@code null}.
83 */
84 public ComplexFormat(NumberFormat realFormat, NumberFormat imaginaryFormat)
85 throws NullArgumentException {
86 MathUtils.checkNotNull(imaginaryFormat, LocalizedCoreFormats.IMAGINARY_FORMAT);
87 MathUtils.checkNotNull(realFormat, LocalizedCoreFormats.REAL_FORMAT);
88
89 this.imaginaryCharacter = DEFAULT_IMAGINARY_CHARACTER;
90 this.imaginaryFormat = imaginaryFormat;
91 this.realFormat = realFormat;
92 }
93
94 /**
95 * Create an instance with a custom imaginary character, and the default
96 * number format for both real and imaginary parts.
97 * @param imaginaryCharacter The custom imaginary character.
98 * @throws NullArgumentException if {@code imaginaryCharacter} is
99 * {@code null}.
100 * @throws MathIllegalArgumentException if {@code imaginaryCharacter} is an
101 * empty string.
102 */
103 public ComplexFormat(String imaginaryCharacter)
104 throws MathIllegalArgumentException, NullArgumentException {
105 this(imaginaryCharacter, CompositeFormat.getDefaultNumberFormat());
106 }
107
108 /**
109 * Create an instance with a custom imaginary character, and a custom number
110 * format for both real and imaginary parts.
111 * @param imaginaryCharacter The custom imaginary character.
112 * @param format the custom format for both real and imaginary parts.
113 * @throws NullArgumentException if {@code imaginaryCharacter} is
114 * {@code null}.
115 * @throws MathIllegalArgumentException if {@code imaginaryCharacter} is an
116 * empty string.
117 * @throws NullArgumentException if {@code format} is {@code null}.
118 */
119 public ComplexFormat(String imaginaryCharacter, NumberFormat format)
120 throws MathIllegalArgumentException, NullArgumentException {
121 this(imaginaryCharacter, format, format);
122 }
123
124 /**
125 * Create an instance with a custom imaginary character, a custom number
126 * format for the real part, and a custom number format for the imaginary
127 * part.
128 *
129 * @param imaginaryCharacter The custom imaginary character.
130 * @param realFormat the custom format for the real part.
131 * @param imaginaryFormat the custom format for the imaginary part.
132 * @throws NullArgumentException if {@code imaginaryCharacter} is
133 * {@code null}.
134 * @throws MathIllegalArgumentException if {@code imaginaryCharacter} is an
135 * empty string.
136 * @throws NullArgumentException if {@code imaginaryFormat} is {@code null}.
137 * @throws NullArgumentException if {@code realFormat} is {@code null}.
138 */
139 public ComplexFormat(String imaginaryCharacter,
140 NumberFormat realFormat,
141 NumberFormat imaginaryFormat)
142 throws MathIllegalArgumentException, NullArgumentException {
143 if (imaginaryCharacter == null) {
144 throw new NullArgumentException();
145 }
146 if (imaginaryCharacter.isEmpty()) {
147 throw new MathIllegalArgumentException(LocalizedCoreFormats.NO_DATA);
148 }
149 MathUtils.checkNotNull(imaginaryFormat, LocalizedCoreFormats.IMAGINARY_FORMAT);
150 MathUtils.checkNotNull(realFormat, LocalizedCoreFormats.REAL_FORMAT);
151
152 this.imaginaryCharacter = imaginaryCharacter;
153 this.imaginaryFormat = imaginaryFormat;
154 this.realFormat = realFormat;
155 }
156
157 /**
158 * Get the set of locales for which complex formats are available.
159 * <p>This is the same set as the {@link NumberFormat} set.</p>
160 * @return available complex format locales.
161 */
162 public static Locale[] getAvailableLocales() {
163 return NumberFormat.getAvailableLocales();
164 }
165
166 /**
167 * This method calls {@link #format(Object,StringBuffer,FieldPosition)}.
168 *
169 * @param c Complex object to format.
170 * @return A formatted number in the form "Re(c) + Im(c)i".
171 */
172 public String format(Complex c) {
173 return format(c, new StringBuffer(), new FieldPosition(0)).toString();
174 }
175
176 /**
177 * This method calls {@link #format(Object,StringBuffer,FieldPosition)}.
178 *
179 * @param c Double object to format.
180 * @return A formatted number.
181 */
182 public String format(Double c) {
183 return format(new Complex(c, 0), new StringBuffer(), new FieldPosition(0)).toString();
184 }
185
186 /**
187 * Formats a {@link Complex} object to produce a string.
188 *
189 * @param complex the object to format.
190 * @param toAppendTo where the text is to be appended
191 * @param pos On input: an alignment field, if desired. On output: the
192 * offsets of the alignment field
193 * @return the value passed in as toAppendTo.
194 */
195 public StringBuffer format(Complex complex, StringBuffer toAppendTo,
196 FieldPosition pos) {
197 pos.setBeginIndex(0);
198 pos.setEndIndex(0);
199
200 // format real
201 double re = complex.getReal();
202 CompositeFormat.formatDouble(re, getRealFormat(), toAppendTo, pos);
203
204 // format sign and imaginary
205 double im = complex.getImaginary();
206 StringBuffer imAppendTo;
207 if (im < 0.0) {
208 toAppendTo.append(" - ");
209 imAppendTo = formatImaginary(-im, new StringBuffer(), pos);
210 toAppendTo.append(imAppendTo).append(getImaginaryCharacter());
211 } else if (im > 0.0 || Double.isNaN(im)) {
212 toAppendTo.append(" + ");
213 imAppendTo = formatImaginary(im, new StringBuffer(), pos);
214 toAppendTo.append(imAppendTo).append(getImaginaryCharacter());
215 }
216
217 return toAppendTo;
218 }
219
220 /**
221 * Format the absolute value of the imaginary part.
222 *
223 * @param absIm Absolute value of the imaginary part of a complex number.
224 * @param toAppendTo where the text is to be appended.
225 * @param pos On input: an alignment field, if desired. On output: the
226 * offsets of the alignment field.
227 * @return the value passed in as toAppendTo.
228 */
229 private StringBuffer formatImaginary(double absIm,
230 StringBuffer toAppendTo,
231 FieldPosition pos) {
232 pos.setBeginIndex(0);
233 pos.setEndIndex(0);
234
235 CompositeFormat.formatDouble(absIm, getImaginaryFormat(), toAppendTo, pos);
236 if ("1".equals(toAppendTo.toString())) {
237 // Remove the character "1" if it is the only one.
238 toAppendTo.setLength(0);
239 }
240
241 return toAppendTo;
242 }
243
244 /**
245 * Formats a object to produce a string. {@code obj} must be either a
246 * {@link Complex} object or a {@link Number} object. Any other type of
247 * object will result in an {@link IllegalArgumentException} being thrown.
248 *
249 * @param obj the object to format.
250 * @param toAppendTo where the text is to be appended
251 * @param pos On input: an alignment field, if desired. On output: the
252 * offsets of the alignment field
253 * @return the value passed in as toAppendTo.
254 * @see java.text.Format#format(java.lang.Object, java.lang.StringBuffer, java.text.FieldPosition)
255 * @throws MathIllegalArgumentException is {@code obj} is not a valid type.
256 */
257 public StringBuffer format(Object obj, StringBuffer toAppendTo,
258 FieldPosition pos)
259 throws MathIllegalArgumentException {
260
261 if (obj instanceof Complex) {
262 return format( (Complex)obj, toAppendTo, pos);
263 } else if (obj instanceof Number) {
264 return format(new Complex(((Number)obj).doubleValue(), 0.0), toAppendTo, pos);
265 } else {
266 throw new MathIllegalArgumentException(LocalizedCoreFormats.CANNOT_FORMAT_INSTANCE_AS_COMPLEX,
267 obj.getClass().getName());
268 }
269
270 }
271
272 /**
273 * Access the imaginaryCharacter.
274 * @return the imaginaryCharacter.
275 */
276 public String getImaginaryCharacter() {
277 return imaginaryCharacter;
278 }
279
280 /**
281 * Access the imaginaryFormat.
282 * @return the imaginaryFormat.
283 */
284 public NumberFormat getImaginaryFormat() {
285 return imaginaryFormat;
286 }
287
288 /**
289 * Returns the default complex format for the current locale.
290 * @return the default complex format.
291 * @since 1.4
292 */
293 public static ComplexFormat getComplexFormat() {
294 return getComplexFormat(Locale.getDefault());
295 }
296
297 /**
298 * Returns the default complex format for the given locale.
299 * @param locale the specific locale used by the format.
300 * @return the complex format specific to the given locale.
301 * @since 1.4
302 */
303 public static ComplexFormat getComplexFormat(Locale locale) {
304 NumberFormat f = CompositeFormat.getDefaultNumberFormat(locale);
305 return new ComplexFormat(f);
306 }
307
308 /**
309 * Returns the default complex format for the given locale.
310 * @param locale the specific locale used by the format.
311 * @param imaginaryCharacter Imaginary character.
312 * @return the complex format specific to the given locale.
313 * @throws NullArgumentException if {@code imaginaryCharacter} is
314 * {@code null}.
315 * @throws MathIllegalArgumentException if {@code imaginaryCharacter} is an
316 * empty string.
317 * @since 1.4
318 */
319 public static ComplexFormat getComplexFormat(String imaginaryCharacter, Locale locale)
320 throws MathIllegalArgumentException, NullArgumentException {
321 NumberFormat f = CompositeFormat.getDefaultNumberFormat(locale);
322 return new ComplexFormat(imaginaryCharacter, f);
323 }
324
325 /**
326 * Access the realFormat.
327 * @return the realFormat.
328 */
329 public NumberFormat getRealFormat() {
330 return realFormat;
331 }
332
333 /**
334 * Parses a string to produce a {@link Complex} object.
335 *
336 * @param source the string to parse.
337 * @return the parsed {@link Complex} object.
338 * @throws MathIllegalStateException if the beginning of the specified string
339 * cannot be parsed.
340 */
341 public Complex parse(String source) throws MathIllegalStateException {
342 ParsePosition parsePosition = new ParsePosition(0);
343 Complex result = parse(source, parsePosition);
344 if (parsePosition.getIndex() == 0) {
345 throw new MathIllegalStateException(LocalizedCoreFormats.CANNOT_PARSE_AS_TYPE,
346 source, parsePosition.getErrorIndex(),
347 Complex.class);
348 }
349 return result;
350 }
351
352 /**
353 * Parses a string to produce a {@link Complex} object.
354 *
355 * @param source the string to parse
356 * @param pos input/ouput parsing parameter.
357 * @return the parsed {@link Complex} object.
358 */
359 public Complex parse(String source, ParsePosition pos) {
360 int initialIndex = pos.getIndex();
361
362 // parse whitespace
363 CompositeFormat.parseAndIgnoreWhitespace(source, pos);
364
365 // parse real
366 Number re = CompositeFormat.parseNumber(source, getRealFormat(), pos);
367 if (re == null) {
368 // invalid real number
369 // set index back to initial, error index should already be set
370 pos.setIndex(initialIndex);
371 return null;
372 }
373
374 // parse sign
375 int startIndex = pos.getIndex();
376 char c = CompositeFormat.parseNextCharacter(source, pos);
377 int sign;
378 switch (c) {
379 case 0 :
380 // no sign
381 // return real only complex number
382 return new Complex(re.doubleValue(), 0.0);
383 case '-' :
384 sign = -1;
385 break;
386 case '+' :
387 sign = 1;
388 break;
389 default :
390 // invalid sign
391 // set index back to initial, error index should be the last
392 // character examined.
393 pos.setIndex(initialIndex);
394 pos.setErrorIndex(startIndex);
395 return null;
396 }
397
398 // parse whitespace
399 CompositeFormat.parseAndIgnoreWhitespace(source, pos);
400
401 // parse imaginary
402 Number im = CompositeFormat.parseNumber(source, getRealFormat(), pos);
403 if (im == null) {
404 // invalid imaginary number
405 // set index back to initial, error index should already be set
406 pos.setIndex(initialIndex);
407 return null;
408 }
409
410 // parse imaginary character
411 if (!CompositeFormat.parseFixedstring(source, getImaginaryCharacter(), pos)) {
412 return null;
413 }
414
415 return new Complex(re.doubleValue(), im.doubleValue() * sign);
416
417 }
418 }