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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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cbauer |
1.2 |
* GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
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*
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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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#include <strstream>
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cbauer |
1.3 |
#include <ginac/basic.h>
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cbauer |
1.5 |
#include <ginac/ex.h>
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cbauer |
1.1 |
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class cl_N; // We want to include cln.h only in numeric.cpp in order to
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// avoid namespace pollution and keep compile-time low.
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cbauer |
1.5 |
namespace GiNaC {
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#define HASHVALUE_NUMERIC 0x80000001U
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cbauer |
1.1 |
/** This class is used to instantiate a global object Digits which
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* behaves just like Maple's Digits. We need an object rather than a
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* dumber basic type since as a side-effect we let it change
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* 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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_numeric_digits();
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_numeric_digits& operator=(long prec);
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operator long();
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void print(ostream & os) const;
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// member variables
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private:
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long digits;
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static bool too_late;
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};
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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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// friends
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friend numeric exp(numeric const & x);
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friend numeric log(numeric const & x);
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friend numeric sin(numeric const & x);
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friend numeric cos(numeric const & x);
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friend numeric tan(numeric const & x);
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friend numeric asin(numeric const & x);
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friend numeric acos(numeric const & x);
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friend numeric atan(numeric const & x);
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friend numeric atan(numeric const & y, numeric const & x);
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friend numeric sinh(numeric const & x);
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friend numeric cosh(numeric const & x);
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friend numeric tanh(numeric const & x);
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friend numeric asinh(numeric const & x);
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friend numeric acosh(numeric const & x);
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friend numeric atanh(numeric const & x);
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friend numeric abs(numeric const & x);
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friend numeric mod(numeric const & a, numeric const & b);
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friend numeric smod(numeric const & a, numeric const & b);
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friend numeric irem(numeric const & a, numeric const & b);
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friend numeric irem(numeric const & a, numeric const & b, numeric & q);
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friend numeric iquo(numeric const & a, numeric const & b);
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friend numeric iquo(numeric const & a, numeric const & b, numeric & r);
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friend numeric sqrt(numeric const & x);
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friend numeric isqrt(numeric const & x);
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friend numeric gcd(numeric const & a, numeric const & b);
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friend numeric lcm(numeric const & a, numeric const & b);
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friend numeric const & numZERO(void);
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friend numeric const & numONE(void);
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friend numeric const & numTWO(void);
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friend numeric const & numTHREE(void);
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friend numeric const & numMINUSONE(void);
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friend numeric const & numHALF(void);
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// member functions
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// default constructor, destructor, copy constructor assignment
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// operator and helpers
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public:
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numeric();
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~numeric();
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numeric(numeric const & other);
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numeric const & operator=(numeric const & other);
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protected:
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void copy(numeric const & other);
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void destroy(bool call_parent);
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// other constructors
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public:
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explicit numeric(int i);
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explicit numeric(unsigned int i);
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explicit numeric(long i);
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explicit numeric(unsigned long i);
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explicit numeric(long numer, long denom);
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explicit numeric(double d);
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explicit numeric(char const *);
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numeric(cl_N const & z);
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// functions overriding virtual functions from bases classes
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public:
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basic * duplicate() const;
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void printraw(ostream & os) const;
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void printtree(ostream & os, unsigned indent) const;
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void print(ostream & os, unsigned precedence=0) const;
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void printcsrc(ostream & os, unsigned type, unsigned precedence=0) const;
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bool info(unsigned inf) const;
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ex evalf(int level=0) const;
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ex diff(symbol const & s) const;
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ex normal(lst &sym_lst, lst &repl_lst, int level=0) const;
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numeric integer_content(void) const;
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ex smod(numeric const &xi) const;
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numeric max_coefficient(void) const;
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protected:
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int compare_same_type(basic const & other) const;
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bool is_equal_same_type(basic const & other) const;
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unsigned calchash(void) const {
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hashvalue=HASHVALUE_NUMERIC;
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return HASHVALUE_NUMERIC;
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}
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// new virtual functions which can be overridden by derived classes
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// (none)
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// non-virtual functions in this class
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public:
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numeric add(numeric const & other) const;
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numeric sub(numeric const & other) const;
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numeric mul(numeric const & other) const;
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numeric div(numeric const & other) const;
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numeric power(numeric const & other) const;
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numeric const & add_dyn(numeric const & other) const;
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numeric const & sub_dyn(numeric const & other) const;
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numeric const & mul_dyn(numeric const & other) const;
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numeric const & div_dyn(numeric const & other) const;
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numeric const & power_dyn(numeric const & other) const;
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numeric const & operator=(int i);
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numeric const & operator=(unsigned int i);
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numeric const & operator=(long i);
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numeric const & operator=(unsigned long i);
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numeric const & operator=(double d);
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numeric const & operator=(char const * s);
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/*
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numeric add_dyn(numeric const & other) const { return add(other); }
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numeric sub_dyn(numeric const & other) const { return sub(other); }
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numeric mul_dyn(numeric const & other) const { return mul(other); }
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numeric div_dyn(numeric const & other) const { return div(other); }
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numeric power_dyn(numeric const & other) const { return power(other); }
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*/
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numeric inverse(void) const;
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kreckel |
1.6 |
int csgn(void) const;
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cbauer |
1.1 |
int compare(numeric const & other) const;
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bool is_equal(numeric const & other) const;
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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 operator==(numeric const & other) const;
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bool operator!=(numeric const & other) const;
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bool operator<(numeric const & other) const;
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bool operator<=(numeric const & other) const;
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bool operator>(numeric const & other) const;
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bool operator>=(numeric const & other) const;
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int to_int(void) const;
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double to_double(void) const;
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numeric real(void) const;
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numeric imag(void) const;
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numeric numer(void) const;
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numeric denom(void) const;
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int int_length(void) const;
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// member variables
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protected:
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static unsigned precedence;
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cl_N *value;
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};
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// global constants
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extern const numeric some_numeric;
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extern const numeric I;
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extern type_info const & typeid_numeric;
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| 213 |
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extern _numeric_digits Digits;
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| 215 |
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#define is_a_numeric_hash(x) ((x)==HASHVALUE_NUMERIC)
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// may have to be changed to ((x)>=0x80000000U)
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// global functions
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| 220 |
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numeric const & numZERO(void);
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numeric const & numONE(void);
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numeric const & numTWO(void);
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numeric const & numMINUSONE(void);
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numeric const & numHALF(void);
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numeric exp(numeric const & x);
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numeric log(numeric const & x);
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numeric sin(numeric const & x);
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numeric cos(numeric const & x);
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numeric tan(numeric const & x);
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| 231 |
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numeric asin(numeric const & x);
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| 232 |
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numeric acos(numeric const & x);
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| 233 |
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numeric atan(numeric const & x);
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| 234 |
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numeric atan(numeric const & y, numeric const & x);
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| 235 |
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numeric sinh(numeric const & x);
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| 236 |
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numeric cosh(numeric const & x);
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| 237 |
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numeric tanh(numeric const & x);
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| 238 |
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numeric asinh(numeric const & x);
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| 239 |
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numeric acosh(numeric const & x);
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| 240 |
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numeric atanh(numeric const & x);
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| 241 |
kreckel |
1.7 |
numeric zeta(numeric const & x);
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| 242 |
cbauer |
1.1 |
numeric gamma(numeric const & x);
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| 243 |
kreckel |
1.7 |
numeric psi(numeric const & n, numeric const & x);
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| 244 |
cbauer |
1.1 |
numeric factorial(numeric const & n);
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| 245 |
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numeric doublefactorial(numeric const & n);
|
| 246 |
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numeric binomial(numeric const & n, numeric const & k);
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| 247 |
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| 248 |
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numeric abs(numeric const & x);
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| 249 |
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numeric mod(numeric const & a, numeric const & b);
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| 250 |
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numeric smod(numeric const & a, numeric const & b);
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| 251 |
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numeric irem(numeric const & a, numeric const & b);
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| 252 |
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numeric irem(numeric const & a, numeric const & b, numeric & q);
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| 253 |
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numeric iquo(numeric const & a, numeric const & b);
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| 254 |
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numeric iquo(numeric const & a, numeric const & b, numeric & r);
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| 255 |
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numeric sqrt(numeric const & x);
|
| 256 |
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numeric isqrt(numeric const & x);
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| 257 |
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| 258 |
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numeric gcd(numeric const & a, numeric const & b);
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| 259 |
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numeric lcm(numeric const & a, numeric const & b);
|
| 260 |
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| 261 |
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/** Exception thrown by numeric members to signal failure */
|
| 262 |
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struct numeric_fail
|
| 263 |
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{
|
| 264 |
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int failval;
|
| 265 |
|
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numeric_fail(int n) { failval = n; }
|
| 266 |
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};
|
| 267 |
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| 268 |
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// wrapper functions around member functions
|
| 269 |
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inline numeric inverse(numeric const & x)
|
| 270 |
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{ return x.inverse(); }
|
| 271 |
kreckel |
1.6 |
|
| 272 |
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inline bool csgn(numeric const & x)
|
| 273 |
|
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{ return x.csgn(); }
|
| 274 |
cbauer |
1.1 |
|
| 275 |
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inline bool is_zero(numeric const & x)
|
| 276 |
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{ return x.is_zero(); }
|
| 277 |
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| 278 |
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inline bool is_positive(numeric const & x)
|
| 279 |
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{ return x.is_positive(); }
|
| 280 |
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| 281 |
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inline bool is_integer(numeric const & x)
|
| 282 |
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{ return x.is_integer(); }
|
| 283 |
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| 284 |
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inline bool is_pos_integer(numeric const & x)
|
| 285 |
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{ return x.is_pos_integer(); }
|
| 286 |
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| 287 |
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inline bool is_nonneg_integer(numeric const & x)
|
| 288 |
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{ return x.is_nonneg_integer(); }
|
| 289 |
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| 290 |
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inline bool is_even(numeric const & x)
|
| 291 |
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{ return x.is_even(); }
|
| 292 |
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| 293 |
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inline bool is_odd(numeric const & x)
|
| 294 |
|
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{ return x.is_odd(); }
|
| 295 |
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| 296 |
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inline bool is_prime(numeric const & x)
|
| 297 |
|
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{ return x.is_prime(); }
|
| 298 |
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| 299 |
|
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inline bool is_rational(numeric const & x)
|
| 300 |
|
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{ return x.is_rational(); }
|
| 301 |
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|
| 302 |
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inline bool is_real(numeric const & x)
|
| 303 |
|
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{ return x.is_real(); }
|
| 304 |
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| 305 |
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inline numeric real(numeric const & x)
|
| 306 |
|
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{ return x.real(); }
|
| 307 |
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| 308 |
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inline numeric imag(numeric const & x)
|
| 309 |
|
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{ return x.imag(); }
|
| 310 |
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| 311 |
|
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inline numeric numer(numeric const & x)
|
| 312 |
|
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{ return x.numer(); }
|
| 313 |
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| 314 |
|
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inline numeric denom(numeric const & x)
|
| 315 |
|
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{ return x.denom(); }
|
| 316 |
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|
| 317 |
|
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/* do we need this any more? */
|
| 318 |
|
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//inline numeric factorial(int n)
|
| 319 |
|
|
//{ return factorial(numeric(n)); }
|
| 320 |
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|
| 321 |
|
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/* do we need this any more? */
|
| 322 |
|
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//inline numeric binomial(int n, int k)
|
| 323 |
|
|
//{ return binomial(numeric(n), numeric(k)); }
|
| 324 |
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|
| 325 |
|
|
ex IEvalf(void);
|
| 326 |
|
|
ex PiEvalf(void);
|
| 327 |
|
|
ex EulerGammaEvalf(void);
|
| 328 |
|
|
ex CatalanEvalf(void);
|
| 329 |
|
|
|
| 330 |
cbauer |
1.5 |
// utility functions
|
| 331 |
|
|
inline const numeric &ex_to_numeric(const ex &e)
|
| 332 |
|
|
{
|
| 333 |
|
|
return static_cast<const numeric &>(*e.bp);
|
| 334 |
|
|
}
|
| 335 |
cbauer |
1.1 |
|
| 336 |
cbauer |
1.5 |
} // namespace GiNaC
|
| 337 |
cbauer |
1.1 |
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| 338 |
cbauer |
1.2 |
#endif // ndef __GINAC_NUMERIC_H__
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