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129 | .\" ======================================================================== | |
130 | .\" | |
131 | .IX Title "bigrat 3" | |
132 | .TH bigrat 3 "2001-09-21" "perl v5.8.8" "Perl Programmers Reference Guide" | |
133 | .SH "NAME" | |
134 | bigrat \- Transparent BigNumber/BigRational support for Perl | |
135 | .SH "SYNOPSIS" | |
136 | .IX Header "SYNOPSIS" | |
137 | .Vb 1 | |
138 | \& use bigrat; | |
139 | .Ve | |
140 | .PP | |
141 | .Vb 2 | |
142 | \& $x = 2 + 4.5,"\en"; # BigFloat 6.5 | |
143 | \& print 1/3 + 1/4,"\en"; # produces 7/12 | |
144 | .Ve | |
145 | .SH "DESCRIPTION" | |
146 | .IX Header "DESCRIPTION" | |
147 | All operators (inlcuding basic math operations) are overloaded. Integer and | |
148 | floating-point constants are created as proper BigInts or BigFloats, | |
149 | respectively. | |
150 | .PP | |
151 | Other than bignum, this module upgrades to Math::BigRat, meaning that | |
152 | instead of 2.5 you will get 2+1/2 as output. | |
153 | .Sh "Modules Used" | |
154 | .IX Subsection "Modules Used" | |
155 | \&\f(CW\*(C`bigrat\*(C'\fR is just a thin wrapper around various modules of the Math::BigInt | |
156 | family. Think of it as the head of the family, who runs the shop, and orders | |
157 | the others to do the work. | |
158 | .PP | |
159 | The following modules are currently used by bignum: | |
160 | .PP | |
161 | .Vb 4 | |
162 | \& Math::BigInt::Lite (for speed, and only if it is loadable) | |
163 | \& Math::BigInt | |
164 | \& Math::BigFloat | |
165 | \& Math::BigRat | |
166 | .Ve | |
167 | .Sh "Math Library" | |
168 | .IX Subsection "Math Library" | |
169 | Math with the numbers is done (by default) by a module called | |
170 | Math::BigInt::Calc. This is equivalent to saying: | |
171 | .PP | |
172 | .Vb 1 | |
173 | \& use bigrat lib => 'Calc'; | |
174 | .Ve | |
175 | .PP | |
176 | You can change this by using: | |
177 | .PP | |
178 | .Vb 1 | |
179 | \& use bigrat lib => 'BitVect'; | |
180 | .Ve | |
181 | .PP | |
182 | The following would first try to find Math::BigInt::Foo, then | |
183 | Math::BigInt::Bar, and when this also fails, revert to Math::BigInt::Calc: | |
184 | .PP | |
185 | .Vb 1 | |
186 | \& use bigrat lib => 'Foo,Math::BigInt::Bar'; | |
187 | .Ve | |
188 | .PP | |
189 | Please see respective module documentation for further details. | |
190 | .Sh "Sign" | |
191 | .IX Subsection "Sign" | |
192 | The sign is either '+', '\-', 'NaN', '+inf' or '\-inf'. | |
193 | .PP | |
194 | A sign of 'NaN' is used to represent the result when input arguments are not | |
195 | numbers or as a result of 0/0. '+inf' and '\-inf' represent plus respectively | |
196 | minus infinity. You will get '+inf' when dividing a positive number by 0, and | |
197 | \&'\-inf' when dividing any negative number by 0. | |
198 | .Sh "Methods" | |
199 | .IX Subsection "Methods" | |
200 | Since all numbers are not objects, you can use all functions that are part of | |
201 | the BigInt or BigFloat \s-1API\s0. It is wise to use only the \fIbxxx()\fR notation, and not | |
202 | the \fIfxxx()\fR notation, though. This makes you independed on the fact that the | |
203 | underlying object might morph into a different class than BigFloat. | |
204 | .Sh "Cavaet" | |
205 | .IX Subsection "Cavaet" | |
206 | But a warning is in order. When using the following to make a copy of a number, | |
207 | only a shallow copy will be made. | |
208 | .PP | |
209 | .Vb 2 | |
210 | \& $x = 9; $y = $x; | |
211 | \& $x = $y = 7; | |
212 | .Ve | |
213 | .PP | |
214 | If you want to make a real copy, use the following: | |
215 | .PP | |
216 | .Vb 1 | |
217 | \& $y = $x->copy(); | |
218 | .Ve | |
219 | .PP | |
220 | Using the copy or the original with overloaded math is okay, e.g. the | |
221 | following work: | |
222 | .PP | |
223 | .Vb 2 | |
224 | \& $x = 9; $y = $x; | |
225 | \& print $x + 1, " ", $y,"\en"; # prints 10 9 | |
226 | .Ve | |
227 | .PP | |
228 | but calling any method that modifies the number directly will result in | |
229 | \&\fBboth\fR the original and the copy beeing destroyed: | |
230 | .PP | |
231 | .Vb 2 | |
232 | \& $x = 9; $y = $x; | |
233 | \& print $x->badd(1), " ", $y,"\en"; # prints 10 10 | |
234 | .Ve | |
235 | .PP | |
236 | .Vb 2 | |
237 | \& $x = 9; $y = $x; | |
238 | \& print $x->binc(1), " ", $y,"\en"; # prints 10 10 | |
239 | .Ve | |
240 | .PP | |
241 | .Vb 2 | |
242 | \& $x = 9; $y = $x; | |
243 | \& print $x->bmul(2), " ", $y,"\en"; # prints 18 18 | |
244 | .Ve | |
245 | .PP | |
246 | Using methods that do not modify, but testthe contents works: | |
247 | .PP | |
248 | .Vb 2 | |
249 | \& $x = 9; $y = $x; | |
250 | \& $z = 9 if $x->is_zero(); # works fine | |
251 | .Ve | |
252 | .PP | |
253 | See the documentation about the copy constructor and \f(CW\*(C`=\*(C'\fR in overload, as | |
254 | well as the documentation in BigInt for further details. | |
255 | .Sh "Options" | |
256 | .IX Subsection "Options" | |
257 | bignum recognizes some options that can be passed while loading it via use. | |
258 | The options can (currently) be either a single letter form, or the long form. | |
259 | The following options exist: | |
260 | .IP "a or accuracy" 2 | |
261 | .IX Item "a or accuracy" | |
262 | This sets the accuracy for all math operations. The argument must be greater | |
263 | than or equal to zero. See Math::BigInt's \fIbround()\fR function for details. | |
264 | .Sp | |
265 | .Vb 1 | |
266 | \& perl -Mbigrat=a,50 -le 'print sqrt(20)' | |
267 | .Ve | |
268 | .IP "p or precision" 2 | |
269 | .IX Item "p or precision" | |
270 | This sets the precision for all math operations. The argument can be any | |
271 | integer. Negative values mean a fixed number of digits after the dot, while | |
272 | a positive value rounds to this digit left from the dot. 0 or 1 mean round to | |
273 | integer. See Math::BigInt's \fIbfround()\fR function for details. | |
274 | .Sp | |
275 | .Vb 1 | |
276 | \& perl -Mbigrat=p,-50 -le 'print sqrt(20)' | |
277 | .Ve | |
278 | .IP "t or trace" 2 | |
279 | .IX Item "t or trace" | |
280 | This enables a trace mode and is primarily for debugging bignum or | |
281 | Math::BigInt/Math::BigFloat. | |
282 | .IP "l or lib" 2 | |
283 | .IX Item "l or lib" | |
284 | Load a different math lib, see \*(L"\s-1MATH\s0 \s-1LIBRARY\s0\*(R". | |
285 | .Sp | |
286 | .Vb 1 | |
287 | \& perl -Mbigrat=l,GMP -e 'print 2 ** 512' | |
288 | .Ve | |
289 | .Sp | |
290 | Currently there is no way to specify more than one library on the command | |
291 | line. This will be hopefully fixed soon ;) | |
292 | .IP "v or version" 2 | |
293 | .IX Item "v or version" | |
294 | This prints out the name and version of all modules used and then exits. | |
295 | .Sp | |
296 | .Vb 1 | |
297 | \& perl -Mbigrat=v | |
298 | .Ve | |
299 | .SH "EXAMPLES" | |
300 | .IX Header "EXAMPLES" | |
301 | .Vb 5 | |
302 | \& perl -Mbigrat -le 'print sqrt(33)' | |
303 | \& perl -Mbigrat -le 'print 2*255' | |
304 | \& perl -Mbigrat -le 'print 4.5+2*255' | |
305 | \& perl -Mbigrat -le 'print 3/7 + 5/7 + 8/3' | |
306 | \& perl -Mbigrat -le 'print 12->is_odd()'; | |
307 | .Ve | |
308 | .SH "LICENSE" | |
309 | .IX Header "LICENSE" | |
310 | This program is free software; you may redistribute it and/or modify it under | |
311 | the same terms as Perl itself. | |
312 | .SH "SEE ALSO" | |
313 | .IX Header "SEE ALSO" | |
314 | Especially bignum. | |
315 | .Sp | |
316 | Math::BigFloat, Math::BigInt, Math::BigRat and Math::Big as well | |
317 | as Math::BigInt::BitVect, Math::BigInt::Pari and Math::BigInt::GMP. | |
318 | .SH "AUTHORS" | |
319 | .IX Header "AUTHORS" | |
320 | (C) by Tels <http://bloodgate.com/> in early 2002 \- 2005. |