| 1 |
/** @file numeric.h
|
| 2 |
*
|
| 3 |
* Makes the interface to the underlying bignum package available. */
|
| 4 |
|
| 5 |
/*
|
| 6 |
* GiNaC Copyright (C) 1999-2000 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 |
class cl_N; // We want to include cln.h only in numeric.cpp in order to
|
| 31 |
// avoid namespace pollution and keep compile-time low.
|
| 32 |
|
| 33 |
#ifndef NO_NAMESPACE_GINAC
|
| 34 |
namespace GiNaC {
|
| 35 |
#endif // ndef NO_NAMESPACE_GINAC
|
| 36 |
|
| 37 |
#define HASHVALUE_NUMERIC 0x80000001U
|
| 38 |
|
| 39 |
/** This class is used to instantiate a global object Digits which
|
| 40 |
* behaves just like Maple's Digits. We need an object rather than a
|
| 41 |
* dumber basic type since as a side-effect we let it change
|
| 42 |
* cl_default_float_format when it gets changed. The only other
|
| 43 |
* meaningful thing to do with it is converting it to an unsigned,
|
| 44 |
* for temprary storing its value e.g. The user must not create an
|
| 45 |
* own working object of this class! Since C++ forces us to make the
|
| 46 |
* class definition visible in order to use an object we put in a
|
| 47 |
* flag which prevents other objects of that class to be created. */
|
| 48 |
class _numeric_digits
|
| 49 |
{
|
| 50 |
// member functions
|
| 51 |
public:
|
| 52 |
_numeric_digits();
|
| 53 |
_numeric_digits& operator=(long prec);
|
| 54 |
operator long();
|
| 55 |
void print(std::ostream & os) const;
|
| 56 |
// member variables
|
| 57 |
private:
|
| 58 |
long digits;
|
| 59 |
static bool too_late;
|
| 60 |
};
|
| 61 |
|
| 62 |
/** This class is a wrapper around CLN-numbers within the GiNaC class
|
| 63 |
* hierarchy. Objects of this type may directly be created by the user.*/
|
| 64 |
class numeric : public basic
|
| 65 |
{
|
| 66 |
GINAC_DECLARE_REGISTERED_CLASS(numeric, basic)
|
| 67 |
|
| 68 |
// friends
|
| 69 |
friend const numeric exp(const numeric & x);
|
| 70 |
friend const numeric log(const numeric & x);
|
| 71 |
friend const numeric sin(const numeric & x);
|
| 72 |
friend const numeric cos(const numeric & x);
|
| 73 |
friend const numeric tan(const numeric & x);
|
| 74 |
friend const numeric asin(const numeric & x);
|
| 75 |
friend const numeric acos(const numeric & x);
|
| 76 |
friend const numeric atan(const numeric & x);
|
| 77 |
friend const numeric atan(const numeric & y, const numeric & x);
|
| 78 |
friend const numeric sinh(const numeric & x);
|
| 79 |
friend const numeric cosh(const numeric & x);
|
| 80 |
friend const numeric tanh(const numeric & x);
|
| 81 |
friend const numeric asinh(const numeric & x);
|
| 82 |
friend const numeric acosh(const numeric & x);
|
| 83 |
friend const numeric atanh(const numeric & x);
|
| 84 |
friend const numeric Li2(const numeric & x);
|
| 85 |
friend const numeric zeta(const numeric & x);
|
| 86 |
friend const numeric fibonacci(const numeric & n);
|
| 87 |
friend numeric abs(const numeric & x);
|
| 88 |
friend numeric mod(const numeric & a, const numeric & b);
|
| 89 |
friend numeric smod(const numeric & a, const numeric & b);
|
| 90 |
friend numeric irem(const numeric & a, const numeric & b);
|
| 91 |
friend numeric irem(const numeric & a, const numeric & b, numeric & q);
|
| 92 |
friend numeric iquo(const numeric & a, const numeric & b);
|
| 93 |
friend numeric iquo(const numeric & a, const numeric & b, numeric & r);
|
| 94 |
friend numeric sqrt(const numeric & x);
|
| 95 |
friend numeric isqrt(const numeric & x);
|
| 96 |
friend numeric gcd(const numeric & a, const numeric & b);
|
| 97 |
friend numeric lcm(const numeric & a, const numeric & b);
|
| 98 |
|
| 99 |
// member functions
|
| 100 |
|
| 101 |
// default constructor, destructor, copy constructor assignment
|
| 102 |
// operator and helpers
|
| 103 |
public:
|
| 104 |
numeric();
|
| 105 |
~numeric();
|
| 106 |
numeric(const numeric & other);
|
| 107 |
const numeric & operator=(const numeric & other);
|
| 108 |
protected:
|
| 109 |
void copy(const numeric & other);
|
| 110 |
void destroy(bool call_parent);
|
| 111 |
|
| 112 |
// other constructors
|
| 113 |
public:
|
| 114 |
explicit numeric(int i);
|
| 115 |
explicit numeric(unsigned int i);
|
| 116 |
explicit numeric(long i);
|
| 117 |
explicit numeric(unsigned long i);
|
| 118 |
explicit numeric(long numer, long denom);
|
| 119 |
explicit numeric(double d);
|
| 120 |
explicit numeric(const char *);
|
| 121 |
numeric(const cl_N & z);
|
| 122 |
|
| 123 |
// functions overriding virtual functions from bases classes
|
| 124 |
public:
|
| 125 |
basic * duplicate() const;
|
| 126 |
void print(std::ostream & os, unsigned precedence=0) const;
|
| 127 |
void printraw(std::ostream & os) const;
|
| 128 |
void printtree(std::ostream & os, unsigned indent) const;
|
| 129 |
void printcsrc(std::ostream & os, unsigned type, unsigned precedence=0) const;
|
| 130 |
bool info(unsigned inf) const;
|
| 131 |
bool has(const ex & other) const;
|
| 132 |
ex eval(int level=0) const;
|
| 133 |
ex evalf(int level=0) const;
|
| 134 |
ex normal(lst &sym_lst, lst &repl_lst, int level=0) const;
|
| 135 |
ex to_rational(lst &repl_lst) const;
|
| 136 |
numeric integer_content(void) const;
|
| 137 |
ex smod(const numeric &xi) const;
|
| 138 |
numeric max_coefficient(void) const;
|
| 139 |
protected:
|
| 140 |
ex derivative(const symbol & s) const;
|
| 141 |
int compare_same_type(const basic & other) const;
|
| 142 |
bool is_equal_same_type(const basic & other) const;
|
| 143 |
unsigned calchash(void) const;
|
| 144 |
|
| 145 |
// new virtual functions which can be overridden by derived classes
|
| 146 |
// (none)
|
| 147 |
|
| 148 |
// non-virtual functions in this class
|
| 149 |
public:
|
| 150 |
numeric add(const numeric & other) const;
|
| 151 |
numeric sub(const numeric & other) const;
|
| 152 |
numeric mul(const numeric & other) const;
|
| 153 |
numeric div(const numeric & other) const;
|
| 154 |
numeric power(const numeric & other) const;
|
| 155 |
const numeric & add_dyn(const numeric & other) const;
|
| 156 |
const numeric & sub_dyn(const numeric & other) const;
|
| 157 |
const numeric & mul_dyn(const numeric & other) const;
|
| 158 |
const numeric & div_dyn(const numeric & other) const;
|
| 159 |
const numeric & power_dyn(const numeric & other) const;
|
| 160 |
const numeric & operator=(int i);
|
| 161 |
const numeric & operator=(unsigned int i);
|
| 162 |
const numeric & operator=(long i);
|
| 163 |
const numeric & operator=(unsigned long i);
|
| 164 |
const numeric & operator=(double d);
|
| 165 |
const numeric & operator=(const char * s);
|
| 166 |
numeric inverse(void) const;
|
| 167 |
int csgn(void) const;
|
| 168 |
::cl_N* clnptr(void) const { return value; } /**< ptr to representation. */
|
| 169 |
int compare(const numeric & other) const;
|
| 170 |
bool is_equal(const numeric & other) const;
|
| 171 |
bool is_zero(void) const;
|
| 172 |
bool is_positive(void) const;
|
| 173 |
bool is_negative(void) const;
|
| 174 |
bool is_integer(void) const;
|
| 175 |
bool is_pos_integer(void) const;
|
| 176 |
bool is_nonneg_integer(void) const;
|
| 177 |
bool is_even(void) const;
|
| 178 |
bool is_odd(void) const;
|
| 179 |
bool is_prime(void) const;
|
| 180 |
bool is_rational(void) const;
|
| 181 |
bool is_real(void) const;
|
| 182 |
bool is_cinteger(void) const;
|
| 183 |
bool is_crational(void) const;
|
| 184 |
bool operator==(const numeric & other) const;
|
| 185 |
bool operator!=(const numeric & other) const;
|
| 186 |
bool operator<(const numeric & other) const;
|
| 187 |
bool operator<=(const numeric & other) const;
|
| 188 |
bool operator>(const numeric & other) const;
|
| 189 |
bool operator>=(const numeric & other) const;
|
| 190 |
int to_int(void) const;
|
| 191 |
long to_long(void) const;
|
| 192 |
double to_double(void) const;
|
| 193 |
const numeric real(void) const;
|
| 194 |
const numeric imag(void) const;
|
| 195 |
const numeric numer(void) const;
|
| 196 |
const numeric denom(void) const;
|
| 197 |
int int_length(void) const;
|
| 198 |
|
| 199 |
// member variables
|
| 200 |
|
| 201 |
protected:
|
| 202 |
static unsigned precedence;
|
| 203 |
::cl_N *value;
|
| 204 |
};
|
| 205 |
|
| 206 |
// global constants
|
| 207 |
|
| 208 |
extern const numeric some_numeric;
|
| 209 |
extern const numeric I;
|
| 210 |
extern const type_info & typeid_numeric;
|
| 211 |
extern _numeric_digits Digits;
|
| 212 |
|
| 213 |
//#define is_a_numeric_hash(x) ((x)==HASHVALUE_NUMERIC)
|
| 214 |
// may have to be changed to ((x)>=0x80000000U)
|
| 215 |
|
| 216 |
// has been changed
|
| 217 |
//#define is_a_numeric_hash(x) ((x)&0x80000000U)
|
| 218 |
|
| 219 |
// global functions
|
| 220 |
|
| 221 |
const numeric exp(const numeric & x);
|
| 222 |
const numeric log(const numeric & x);
|
| 223 |
const numeric sin(const numeric & x);
|
| 224 |
const numeric cos(const numeric & x);
|
| 225 |
const numeric tan(const numeric & x);
|
| 226 |
const numeric asin(const numeric & x);
|
| 227 |
const numeric acos(const numeric & x);
|
| 228 |
const numeric atan(const numeric & x);
|
| 229 |
const numeric atan(const numeric & y, const numeric & x);
|
| 230 |
const numeric sinh(const numeric & x);
|
| 231 |
const numeric cosh(const numeric & x);
|
| 232 |
const numeric tanh(const numeric & x);
|
| 233 |
const numeric asinh(const numeric & x);
|
| 234 |
const numeric acosh(const numeric & x);
|
| 235 |
const numeric atanh(const numeric & x);
|
| 236 |
const numeric Li2(const numeric & x);
|
| 237 |
const numeric zeta(const numeric & x);
|
| 238 |
const numeric lgamma(const numeric & x);
|
| 239 |
const numeric tgamma(const numeric & x);
|
| 240 |
const numeric psi(const numeric & x);
|
| 241 |
const numeric psi(const numeric & n, const numeric & x);
|
| 242 |
const numeric factorial(const numeric & n);
|
| 243 |
const numeric doublefactorial(const numeric & n);
|
| 244 |
const numeric binomial(const numeric & n, const numeric & k);
|
| 245 |
const numeric bernoulli(const numeric & n);
|
| 246 |
const numeric fibonacci(const numeric & n);
|
| 247 |
|
| 248 |
numeric abs(const numeric & x);
|
| 249 |
numeric mod(const numeric & a, const numeric & b);
|
| 250 |
numeric smod(const numeric & a, const numeric & b);
|
| 251 |
numeric irem(const numeric & a, const numeric & b);
|
| 252 |
numeric irem(const numeric & a, const numeric & b, numeric & q);
|
| 253 |
numeric iquo(const numeric & a, const numeric & b);
|
| 254 |
numeric iquo(const numeric & a, const numeric & b, numeric & r);
|
| 255 |
numeric sqrt(const numeric & x);
|
| 256 |
numeric isqrt(const numeric & x);
|
| 257 |
|
| 258 |
numeric gcd(const numeric & a, const numeric & b);
|
| 259 |
numeric lcm(const numeric & a, const numeric & b);
|
| 260 |
|
| 261 |
// wrapper functions around member functions
|
| 262 |
inline numeric pow(const numeric & x, const numeric & y)
|
| 263 |
{ return x.power(y); }
|
| 264 |
|
| 265 |
inline numeric inverse(const numeric & x)
|
| 266 |
{ return x.inverse(); }
|
| 267 |
|
| 268 |
inline int csgn(const numeric & x)
|
| 269 |
{ return x.csgn(); }
|
| 270 |
|
| 271 |
inline bool is_zero(const numeric & x)
|
| 272 |
{ return x.is_zero(); }
|
| 273 |
|
| 274 |
inline bool is_positive(const numeric & x)
|
| 275 |
{ return x.is_positive(); }
|
| 276 |
|
| 277 |
inline bool is_integer(const numeric & x)
|
| 278 |
{ return x.is_integer(); }
|
| 279 |
|
| 280 |
inline bool is_pos_integer(const numeric & x)
|
| 281 |
{ return x.is_pos_integer(); }
|
| 282 |
|
| 283 |
inline bool is_nonneg_integer(const numeric & x)
|
| 284 |
{ return x.is_nonneg_integer(); }
|
| 285 |
|
| 286 |
inline bool is_even(const numeric & x)
|
| 287 |
{ return x.is_even(); }
|
| 288 |
|
| 289 |
inline bool is_odd(const numeric & x)
|
| 290 |
{ return x.is_odd(); }
|
| 291 |
|
| 292 |
inline bool is_prime(const numeric & x)
|
| 293 |
{ return x.is_prime(); }
|
| 294 |
|
| 295 |
inline bool is_rational(const numeric & x)
|
| 296 |
{ return x.is_rational(); }
|
| 297 |
|
| 298 |
inline bool is_real(const numeric & x)
|
| 299 |
{ return x.is_real(); }
|
| 300 |
|
| 301 |
inline bool is_cinteger(const numeric & x)
|
| 302 |
{ return x.is_cinteger(); }
|
| 303 |
|
| 304 |
inline bool is_crational(const numeric & x)
|
| 305 |
{ return x.is_crational(); }
|
| 306 |
|
| 307 |
inline const numeric real(const numeric & x)
|
| 308 |
{ return x.real(); }
|
| 309 |
|
| 310 |
inline const numeric imag(const numeric & x)
|
| 311 |
{ return x.imag(); }
|
| 312 |
|
| 313 |
inline const numeric numer(const numeric & x)
|
| 314 |
{ return x.numer(); }
|
| 315 |
|
| 316 |
inline const numeric denom(const numeric & x)
|
| 317 |
{ return x.denom(); }
|
| 318 |
|
| 319 |
// numeric evaluation functions for class constant objects:
|
| 320 |
|
| 321 |
ex PiEvalf(void);
|
| 322 |
ex EulerEvalf(void);
|
| 323 |
ex CatalanEvalf(void);
|
| 324 |
|
| 325 |
|
| 326 |
// utility functions
|
| 327 |
inline const numeric &ex_to_numeric(const ex &e)
|
| 328 |
{
|
| 329 |
return static_cast<const numeric &>(*e.bp);
|
| 330 |
}
|
| 331 |
|
| 332 |
|
| 333 |
#ifndef NO_NAMESPACE_GINAC
|
| 334 |
} // namespace GiNaC
|
| 335 |
#endif // ndef NO_NAMESPACE_GINAC
|
| 336 |
|
| 337 |
#endif // ndef __GINAC_NUMERIC_H__
|
Parent Directory
| 
Revision Log