/[GiNaC]/ginac/numeric.h
ViewVC logotype

Contents of /ginac/numeric.h

Parent Directory Parent Directory | Revision Log Revision Log


Revision 1.47 - (show annotations)
Sat Feb 17 18:07:08 2001 UTC (13 years, 5 months ago) by kreckel
Branch: MAIN
CVS Tags: release_0-7-2
Changes since 1.46: +2 -2 lines
File MIME type: text/plain
pseries::expand(): do not generate zero terms.
pseries::print(): print trivial case, too.
others: documentation updates.

1 /** @file numeric.h
2 *
3 * Makes the interface to the underlying bignum package available. */
4
5 /*
6 * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
7 *
8 * This program is free software; you can redistribute it and/or modify
9 * it under the terms of the GNU General Public License as published by
10 * the Free Software Foundation; either version 2 of the License, or
11 * (at your option) any later version.
12 *
13 * This program is distributed in the hope that it will be useful,
14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 * GNU General Public License for more details.
17 *
18 * You should have received a copy of the GNU General Public License
19 * along with this program; if not, write to the Free Software
20 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
21 */
22
23 #ifndef __GINAC_NUMERIC_H__
24 #define __GINAC_NUMERIC_H__
25
26 #include <strstream>
27 #include "basic.h"
28 #include "ex.h"
29
30 #include <cln/number.h>
31 // forward decln of cln::cl_N, since cln/complex_class.h is not included:
32 namespace cln { class cl_N; }
33
34 #if defined(G__CINTVERSION) && !defined(__MAKECINT__)
35 // Cint @$#$! doesn't like forward declaring classes used for casting operators
36 // so we have to include the definition of cln::cl_N here, but it is enough to
37 // do so for the compiler, hence the !defined(__MAKECINT__).
38 #include <cln/complex_class.h>
39 #endif
40
41 #ifndef NO_NAMESPACE_GINAC
42 namespace GiNaC {
43 #endif // ndef NO_NAMESPACE_GINAC
44
45 #define HASHVALUE_NUMERIC 0x80000001U
46
47 /** This class is used to instantiate a global object Digits which
48 * behaves just like Maple's Digits. We need an object rather than a
49 * dumber basic type since as a side-effect we let it change
50 * cl_default_float_format when it gets changed. The only other
51 * meaningful thing to do with it is converting it to an unsigned,
52 * for temprary storing its value e.g. The user must not create an
53 * own working object of this class! Since C++ forces us to make the
54 * class definition visible in order to use an object we put in a
55 * flag which prevents other objects of that class to be created. */
56 class _numeric_digits
57 {
58 // member functions
59 public:
60 _numeric_digits();
61 _numeric_digits& operator=(long prec);
62 operator long();
63 void print(std::ostream & os) const;
64 // member variables
65 private:
66 long digits;
67 static bool too_late;
68 };
69
70 /** This class is a wrapper around CLN-numbers within the GiNaC class
71 * hierarchy. Objects of this type may directly be created by the user.*/
72 class numeric : public basic
73 {
74 GINAC_DECLARE_REGISTERED_CLASS(numeric, basic)
75
76 // member functions
77
78 // other constructors
79 public:
80 explicit numeric(int i);
81 explicit numeric(unsigned int i);
82 explicit numeric(long i);
83 explicit numeric(unsigned long i);
84 explicit numeric(long numer, long denom);
85 explicit numeric(double d);
86 explicit numeric(const char *);
87
88 // functions overriding virtual functions from bases classes
89 public:
90 void print(std::ostream & os, unsigned precedence=0) const;
91 void printraw(std::ostream & os) const;
92 void printtree(std::ostream & os, unsigned indent) const;
93 void printcsrc(std::ostream & os, unsigned type, unsigned precedence=0) const;
94 bool info(unsigned inf) const;
95 bool has(const ex & other) const;
96 ex eval(int level = 0) const;
97 ex evalf(int level = 0) const;
98 ex normal(lst &sym_lst, lst &repl_lst, int level=0) const;
99 ex to_rational(lst &repl_lst) const;
100 numeric integer_content(void) const;
101 ex smod(const numeric &xi) const;
102 numeric max_coefficient(void) const;
103 protected:
104 ex derivative(const symbol & s) const;
105 bool is_equal_same_type(const basic & other) const;
106 unsigned calchash(void) const;
107
108 // new virtual functions which can be overridden by derived classes
109 // (none)
110
111 // non-virtual functions in this class
112 public:
113 const numeric add(const numeric & other) const;
114 const numeric sub(const numeric & other) const;
115 const numeric mul(const numeric & other) const;
116 const numeric div(const numeric & other) const;
117 const numeric power(const numeric & other) const;
118 const numeric & add_dyn(const numeric & other) const;
119 const numeric & sub_dyn(const numeric & other) const;
120 const numeric & mul_dyn(const numeric & other) const;
121 const numeric & div_dyn(const numeric & other) const;
122 const numeric & power_dyn(const numeric & other) const;
123 const numeric & operator=(int i);
124 const numeric & operator=(unsigned int i);
125 const numeric & operator=(long i);
126 const numeric & operator=(unsigned long i);
127 const numeric & operator=(double d);
128 const numeric & operator=(const char * s);
129 const numeric inverse(void) const;
130 int csgn(void) const;
131 int compare(const numeric & other) const;
132 bool is_equal(const numeric & other) const;
133 bool is_zero(void) const;
134 bool is_positive(void) const;
135 bool is_negative(void) const;
136 bool is_integer(void) const;
137 bool is_pos_integer(void) const;
138 bool is_nonneg_integer(void) const;
139 bool is_even(void) const;
140 bool is_odd(void) const;
141 bool is_prime(void) const;
142 bool is_rational(void) const;
143 bool is_real(void) const;
144 bool is_cinteger(void) const;
145 bool is_crational(void) const;
146 bool operator==(const numeric & other) const;
147 bool operator!=(const numeric & other) const;
148 bool operator<(const numeric & other) const;
149 bool operator<=(const numeric & other) const;
150 bool operator>(const numeric & other) const;
151 bool operator>=(const numeric & other) const;
152 int to_int(void) const;
153 long to_long(void) const;
154 double to_double(void) const;
155 cln::cl_N to_cl_N(void) const;
156 const numeric real(void) const;
157 const numeric imag(void) const;
158 const numeric numer(void) const;
159 const numeric denom(void) const;
160 int int_length(void) const;
161 // converting routines for interfacing with CLN:
162 numeric(const cln::cl_N & z);
163
164 // member variables
165
166 protected:
167 static unsigned precedence;
168 cln::cl_number value;
169 };
170
171 // global constants
172
173 extern const numeric I;
174 extern _numeric_digits Digits;
175
176 //#define is_a_numeric_hash(x) ((x)==HASHVALUE_NUMERIC)
177 // may have to be changed to ((x)>=0x80000000U)
178
179 // has been changed
180 //#define is_a_numeric_hash(x) ((x)&0x80000000U)
181
182 // global functions
183
184 const numeric exp(const numeric & x);
185 const numeric log(const numeric & x);
186 const numeric sin(const numeric & x);
187 const numeric cos(const numeric & x);
188 const numeric tan(const numeric & x);
189 const numeric asin(const numeric & x);
190 const numeric acos(const numeric & x);
191 const numeric atan(const numeric & x);
192 const numeric atan(const numeric & y, const numeric & x);
193 const numeric sinh(const numeric & x);
194 const numeric cosh(const numeric & x);
195 const numeric tanh(const numeric & x);
196 const numeric asinh(const numeric & x);
197 const numeric acosh(const numeric & x);
198 const numeric atanh(const numeric & x);
199 const numeric Li2(const numeric & x);
200 const numeric zeta(const numeric & x);
201 const numeric lgamma(const numeric & x);
202 const numeric tgamma(const numeric & x);
203 const numeric psi(const numeric & x);
204 const numeric psi(const numeric & n, const numeric & x);
205 const numeric factorial(const numeric & n);
206 const numeric doublefactorial(const numeric & n);
207 const numeric binomial(const numeric & n, const numeric & k);
208 const numeric bernoulli(const numeric & n);
209 const numeric fibonacci(const numeric & n);
210 const numeric abs(const numeric & x);
211 const numeric isqrt(const numeric & x);
212 const numeric sqrt(const numeric & x);
213 const numeric abs(const numeric & x);
214 const numeric mod(const numeric & a, const numeric & b);
215 const numeric smod(const numeric & a, const numeric & b);
216 const numeric irem(const numeric & a, const numeric & b);
217 const numeric irem(const numeric & a, const numeric & b, numeric & q);
218 const numeric iquo(const numeric & a, const numeric & b);
219 const numeric iquo(const numeric & a, const numeric & b, numeric & r);
220 const numeric gcd(const numeric & a, const numeric & b);
221 const numeric lcm(const numeric & a, const numeric & b);
222
223 // wrapper functions around member functions
224 inline const numeric pow(const numeric & x, const numeric & y)
225 { return x.power(y); }
226
227 inline const numeric inverse(const numeric & x)
228 { return x.inverse(); }
229
230 inline int csgn(const numeric & x)
231 { return x.csgn(); }
232
233 inline bool is_zero(const numeric & x)
234 { return x.is_zero(); }
235
236 inline bool is_positive(const numeric & x)
237 { return x.is_positive(); }
238
239 inline bool is_integer(const numeric & x)
240 { return x.is_integer(); }
241
242 inline bool is_pos_integer(const numeric & x)
243 { return x.is_pos_integer(); }
244
245 inline bool is_nonneg_integer(const numeric & x)
246 { return x.is_nonneg_integer(); }
247
248 inline bool is_even(const numeric & x)
249 { return x.is_even(); }
250
251 inline bool is_odd(const numeric & x)
252 { return x.is_odd(); }
253
254 inline bool is_prime(const numeric & x)
255 { return x.is_prime(); }
256
257 inline bool is_rational(const numeric & x)
258 { return x.is_rational(); }
259
260 inline bool is_real(const numeric & x)
261 { return x.is_real(); }
262
263 inline bool is_cinteger(const numeric & x)
264 { return x.is_cinteger(); }
265
266 inline bool is_crational(const numeric & x)
267 { return x.is_crational(); }
268
269 inline int to_int(const numeric & x)
270 { return x.to_int(); }
271
272 inline long to_long(const numeric & x)
273 { return x.to_long(); }
274
275 inline double to_double(const numeric & x)
276 { return x.to_double(); }
277
278 inline const numeric real(const numeric & x)
279 { return x.real(); }
280
281 inline const numeric imag(const numeric & x)
282 { return x.imag(); }
283
284 inline const numeric numer(const numeric & x)
285 { return x.numer(); }
286
287 inline const numeric denom(const numeric & x)
288 { return x.denom(); }
289
290 // numeric evaluation functions for class constant objects:
291
292 ex PiEvalf(void);
293 ex EulerEvalf(void);
294 ex CatalanEvalf(void);
295
296
297 // utility functions
298 inline const numeric &ex_to_numeric(const ex &e)
299 {
300 return static_cast<const numeric &>(*e.bp);
301 }
302
303
304 #ifndef NO_NAMESPACE_GINAC
305 } // namespace GiNaC
306 #endif // ndef NO_NAMESPACE_GINAC
307
308 #ifdef __MAKECINT__
309 #pragma link off defined_in cln/number.h;
310 #pragma link off defined_in cln/complex_class.h;
311 #endif
312
313 #endif // ndef __GINAC_NUMERIC_H__

Christian Bauer">Christian Bauer
ViewVC Help
Powered by ViewVC 1.1.17