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cbauer |
1.1 |
/** @file numeric.h
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*
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cbauer |
1.4 |
* Makes the interface to the underlying bignum package available. */
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/*
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kreckel |
1.60 |
* GiNaC Copyright (C) 1999-2002 Johannes Gutenberg University Mainz, Germany
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cbauer |
1.2 |
*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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*/
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cbauer |
1.1 |
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cbauer |
1.2 |
#ifndef __GINAC_NUMERIC_H__
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#define __GINAC_NUMERIC_H__
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cbauer |
1.1 |
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cbauer |
1.21 |
#include "basic.h"
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#include "ex.h"
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cbauer |
1.1 |
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kreckel |
1.41 |
#include <cln/number.h>
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// forward decln of cln::cl_N, since cln/complex_class.h is not included:
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namespace cln { class cl_N; }
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#if defined(G__CINTVERSION) && !defined(__MAKECINT__)
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// Cint @$#$! doesn't like forward declaring classes used for casting operators
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// so we have to include the definition of cln::cl_N here, but it is enough to
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// do so for the compiler, hence the !defined(__MAKECINT__).
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#include <cln/complex_class.h>
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#endif
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cbauer |
1.1 |
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cbauer |
1.5 |
namespace GiNaC {
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kreckel |
1.48 |
/** This class is used to instantiate a global singleton object Digits
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* which behaves just like Maple's Digits. We need an object rather
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* than a dumber basic type since as a side-effect we let it change
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cbauer |
1.1 |
* cl_default_float_format when it gets changed. The only other
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* meaningful thing to do with it is converting it to an unsigned,
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* for temprary storing its value e.g. The user must not create an
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* own working object of this class! Since C++ forces us to make the
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* class definition visible in order to use an object we put in a
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* flag which prevents other objects of that class to be created. */
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class _numeric_digits
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{
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// member functions
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public:
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cbauer |
1.38 |
_numeric_digits();
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_numeric_digits& operator=(long prec);
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operator long();
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kreckel |
1.48 |
void print(std::ostream &os) const;
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cbauer |
1.1 |
// member variables
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private:
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kreckel |
1.48 |
long digits; ///< Number of decimal digits
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static bool too_late; ///< Already one object present
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cbauer |
1.1 |
};
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/** This class is a wrapper around CLN-numbers within the GiNaC class
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* hierarchy. Objects of this type may directly be created by the user.*/
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class numeric : public basic
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{
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cbauer |
1.38 |
GINAC_DECLARE_REGISTERED_CLASS(numeric, basic)
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kreckel |
1.48 |
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cbauer |
1.1 |
// member functions
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kreckel |
1.48 |
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// other ctors
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cbauer |
1.1 |
public:
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kreckel |
1.56 |
numeric(int i);
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numeric(unsigned int i);
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numeric(long i);
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numeric(unsigned long i);
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numeric(long numer, long denom);
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numeric(double d);
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numeric(const char *);
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cbauer |
1.38 |
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cbauer |
1.57 |
// functions overriding virtual functions from base classes
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cbauer |
1.1 |
public:
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cbauer |
1.49 |
void print(const print_context & c, unsigned level = 0) const;
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cbauer |
1.51 |
unsigned precedence(void) const {return 30;}
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cbauer |
1.38 |
bool info(unsigned inf) const;
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cbauer |
1.61 |
int degree(const ex & s) const;
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int ldegree(const ex & s) const;
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ex coeff(const ex & s, int n = 1) const;
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kreckel |
1.48 |
bool has(const ex &other) const;
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kreckel |
1.47 |
ex eval(int level = 0) const;
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ex evalf(int level = 0) const;
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kreckel |
1.48 |
ex normal(lst &sym_lst, lst &repl_lst, int level = 0) const;
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cbauer |
1.38 |
ex to_rational(lst &repl_lst) const;
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numeric integer_content(void) const;
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ex smod(const numeric &xi) const;
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numeric max_coefficient(void) const;
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cbauer |
1.1 |
protected:
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kreckel |
1.48 |
/** Implementation of ex::diff for a numeric always returns 0.
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* @see ex::diff */
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kreckel |
1.59 |
ex derivative(const symbol &s) const { return 0; }
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kreckel |
1.48 |
bool is_equal_same_type(const basic &other) const;
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cbauer |
1.38 |
unsigned calchash(void) const;
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kreckel |
1.48 |
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cbauer |
1.38 |
// new virtual functions which can be overridden by derived classes
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// (none)
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kreckel |
1.48 |
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cbauer |
1.38 |
// non-virtual functions in this class
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cbauer |
1.1 |
public:
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kreckel |
1.48 |
const numeric add(const numeric &other) const;
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const numeric sub(const numeric &other) const;
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const numeric mul(const numeric &other) const;
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const numeric div(const numeric &other) const;
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const numeric power(const numeric &other) const;
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const numeric & add_dyn(const numeric &other) const;
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const numeric & sub_dyn(const numeric &other) const;
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const numeric & mul_dyn(const numeric &other) const;
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const numeric & div_dyn(const numeric &other) const;
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const numeric & power_dyn(const numeric &other) const;
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cbauer |
1.38 |
const numeric & operator=(int i);
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const numeric & operator=(unsigned int i);
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const numeric & operator=(long i);
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const numeric & operator=(unsigned long i);
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const numeric & operator=(double d);
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kreckel |
1.48 |
const numeric & operator=(const char *s);
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kreckel |
1.41 |
const numeric inverse(void) const;
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cbauer |
1.38 |
int csgn(void) const;
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kreckel |
1.48 |
int compare(const numeric &other) const;
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bool is_equal(const numeric &other) const;
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cbauer |
1.38 |
bool is_zero(void) const;
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bool is_positive(void) const;
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bool is_negative(void) const;
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bool is_integer(void) const;
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bool is_pos_integer(void) const;
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bool is_nonneg_integer(void) const;
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bool is_even(void) const;
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bool is_odd(void) const;
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bool is_prime(void) const;
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bool is_rational(void) const;
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bool is_real(void) const;
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bool is_cinteger(void) const;
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bool is_crational(void) const;
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kreckel |
1.48 |
bool operator==(const numeric &other) const;
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bool operator!=(const numeric &other) const;
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bool operator<(const numeric &other) const;
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bool operator<=(const numeric &other) const;
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bool operator>(const numeric &other) const;
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bool operator>=(const numeric &other) const;
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cbauer |
1.38 |
int to_int(void) const;
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long to_long(void) const;
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double to_double(void) const;
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kreckel |
1.42 |
cln::cl_N to_cl_N(void) const;
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cbauer |
1.38 |
const numeric real(void) const;
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const numeric imag(void) const;
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const numeric numer(void) const;
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const numeric denom(void) const;
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int int_length(void) const;
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kreckel |
1.41 |
// converting routines for interfacing with CLN:
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kreckel |
1.48 |
numeric(const cln::cl_N &z);
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cbauer |
1.1 |
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// member variables
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protected:
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kreckel |
1.41 |
cln::cl_number value;
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cbauer |
1.1 |
};
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// global constants
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extern const numeric I;
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extern _numeric_digits Digits;
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kreckel |
1.48 |
// deprecated macro, for internal use only
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#define is_a_numeric_hash(x) ((x)&0x80000000U)
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cbauer |
1.1 |
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// global functions
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kreckel |
1.48 |
const numeric exp(const numeric &x);
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const numeric log(const numeric &x);
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const numeric sin(const numeric &x);
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const numeric cos(const numeric &x);
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const numeric tan(const numeric &x);
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const numeric asin(const numeric &x);
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const numeric acos(const numeric &x);
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const numeric atan(const numeric &x);
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const numeric atan(const numeric &y, const numeric &x);
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| 187 |
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const numeric sinh(const numeric &x);
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const numeric cosh(const numeric &x);
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| 189 |
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const numeric tanh(const numeric &x);
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| 190 |
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const numeric asinh(const numeric &x);
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const numeric acosh(const numeric &x);
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| 192 |
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const numeric atanh(const numeric &x);
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| 193 |
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const numeric Li2(const numeric &x);
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| 194 |
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const numeric zeta(const numeric &x);
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| 195 |
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const numeric lgamma(const numeric &x);
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| 196 |
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const numeric tgamma(const numeric &x);
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const numeric psi(const numeric &x);
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| 198 |
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const numeric psi(const numeric &n, const numeric &x);
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const numeric factorial(const numeric &n);
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const numeric doublefactorial(const numeric &n);
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const numeric binomial(const numeric &n, const numeric &k);
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| 202 |
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const numeric bernoulli(const numeric &n);
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| 203 |
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const numeric fibonacci(const numeric &n);
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| 204 |
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const numeric isqrt(const numeric &x);
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| 205 |
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const numeric sqrt(const numeric &x);
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| 206 |
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const numeric abs(const numeric &x);
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const numeric mod(const numeric &a, const numeric &b);
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| 208 |
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const numeric smod(const numeric &a, const numeric &b);
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const numeric irem(const numeric &a, const numeric &b);
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const numeric irem(const numeric &a, const numeric &b, numeric &q);
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| 211 |
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const numeric iquo(const numeric &a, const numeric &b);
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| 212 |
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const numeric iquo(const numeric &a, const numeric &b, numeric &r);
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| 213 |
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const numeric gcd(const numeric &a, const numeric &b);
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| 214 |
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const numeric lcm(const numeric &a, const numeric &b);
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| 215 |
cbauer |
1.1 |
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| 216 |
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// wrapper functions around member functions
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| 217 |
kreckel |
1.48 |
inline const numeric pow(const numeric &x, const numeric &y)
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| 218 |
kreckel |
1.16 |
{ return x.power(y); }
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| 219 |
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| 220 |
kreckel |
1.48 |
inline const numeric inverse(const numeric &x)
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| 221 |
cbauer |
1.1 |
{ return x.inverse(); }
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| 222 |
kreckel |
1.6 |
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| 223 |
kreckel |
1.48 |
inline int csgn(const numeric &x)
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| 224 |
kreckel |
1.6 |
{ return x.csgn(); }
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| 225 |
cbauer |
1.1 |
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| 226 |
kreckel |
1.48 |
inline bool is_zero(const numeric &x)
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| 227 |
cbauer |
1.1 |
{ return x.is_zero(); }
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| 228 |
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| 229 |
kreckel |
1.48 |
inline bool is_positive(const numeric &x)
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| 230 |
cbauer |
1.1 |
{ return x.is_positive(); }
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| 231 |
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| 232 |
kreckel |
1.48 |
inline bool is_integer(const numeric &x)
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| 233 |
cbauer |
1.1 |
{ return x.is_integer(); }
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| 234 |
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| 235 |
kreckel |
1.48 |
inline bool is_pos_integer(const numeric &x)
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| 236 |
cbauer |
1.1 |
{ return x.is_pos_integer(); }
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| 237 |
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| 238 |
kreckel |
1.48 |
inline bool is_nonneg_integer(const numeric &x)
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| 239 |
cbauer |
1.1 |
{ return x.is_nonneg_integer(); }
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| 240 |
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| 241 |
kreckel |
1.48 |
inline bool is_even(const numeric &x)
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| 242 |
cbauer |
1.1 |
{ return x.is_even(); }
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| 243 |
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| 244 |
kreckel |
1.48 |
inline bool is_odd(const numeric &x)
|
| 245 |
cbauer |
1.1 |
{ return x.is_odd(); }
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| 246 |
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| 247 |
kreckel |
1.48 |
inline bool is_prime(const numeric &x)
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| 248 |
cbauer |
1.1 |
{ return x.is_prime(); }
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| 249 |
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| 250 |
kreckel |
1.48 |
inline bool is_rational(const numeric &x)
|
| 251 |
cbauer |
1.1 |
{ return x.is_rational(); }
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| 252 |
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| 253 |
kreckel |
1.48 |
inline bool is_real(const numeric &x)
|
| 254 |
cbauer |
1.1 |
{ return x.is_real(); }
|
| 255 |
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| 256 |
kreckel |
1.48 |
inline bool is_cinteger(const numeric &x)
|
| 257 |
kreckel |
1.14 |
{ return x.is_cinteger(); }
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| 258 |
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| 259 |
kreckel |
1.48 |
inline bool is_crational(const numeric &x)
|
| 260 |
kreckel |
1.14 |
{ return x.is_crational(); }
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| 261 |
kreckel |
1.42 |
|
| 262 |
kreckel |
1.48 |
inline int to_int(const numeric &x)
|
| 263 |
kreckel |
1.42 |
{ return x.to_int(); }
|
| 264 |
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| 265 |
kreckel |
1.48 |
inline long to_long(const numeric &x)
|
| 266 |
kreckel |
1.42 |
{ return x.to_long(); }
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| 267 |
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| 268 |
kreckel |
1.48 |
inline double to_double(const numeric &x)
|
| 269 |
kreckel |
1.42 |
{ return x.to_double(); }
|
| 270 |
kreckel |
1.14 |
|
| 271 |
kreckel |
1.48 |
inline const numeric real(const numeric &x)
|
| 272 |
cbauer |
1.1 |
{ return x.real(); }
|
| 273 |
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| 274 |
kreckel |
1.48 |
inline const numeric imag(const numeric &x)
|
| 275 |
cbauer |
1.1 |
{ return x.imag(); }
|
| 276 |
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| 277 |
kreckel |
1.48 |
inline const numeric numer(const numeric &x)
|
| 278 |
cbauer |
1.1 |
{ return x.numer(); }
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| 279 |
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|
| 280 |
kreckel |
1.48 |
inline const numeric denom(const numeric &x)
|
| 281 |
cbauer |
1.1 |
{ return x.denom(); }
|
| 282 |
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|
| 283 |
kreckel |
1.11 |
// numeric evaluation functions for class constant objects:
|
| 284 |
|
|
|
| 285 |
cbauer |
1.1 |
ex PiEvalf(void);
|
| 286 |
kreckel |
1.31 |
ex EulerEvalf(void);
|
| 287 |
cbauer |
1.1 |
ex CatalanEvalf(void);
|
| 288 |
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|
| 289 |
kreckel |
1.23 |
|
| 290 |
cbauer |
1.5 |
// utility functions
|
| 291 |
kreckel |
1.54 |
|
| 292 |
|
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/** Specialization of is_exactly_a<numeric>(obj) for numeric objects. */
|
| 293 |
|
|
template<> inline bool is_exactly_a<numeric>(const basic & obj)
|
| 294 |
|
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{
|
| 295 |
|
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return obj.tinfo()==TINFO_numeric;
|
| 296 |
kreckel |
1.23 |
}
|
| 297 |
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| 298 |
cbauer |
1.5 |
} // namespace GiNaC
|
| 299 |
kreckel |
1.41 |
|
| 300 |
|
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#ifdef __MAKECINT__
|
| 301 |
|
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#pragma link off defined_in cln/number.h;
|
| 302 |
|
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#pragma link off defined_in cln/complex_class.h;
|
| 303 |
|
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#endif
|
| 304 |
cbauer |
1.1 |
|
| 305 |
cbauer |
1.2 |
#endif // ndef __GINAC_NUMERIC_H__
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