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/** @file numeric.h
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*
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* Makes the interface to the underlying bignum package available. */
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/*
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* GiNaC Copyright (C) 1999-2000 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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#ifndef __GINAC_NUMERIC_H__
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#define __GINAC_NUMERIC_H__
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#include <strstream>
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#include <ginac/basic.h>
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#include <ginac/ex.h>
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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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#ifndef NO_GINAC_NAMESPACE
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namespace GiNaC {
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#endif // ndef NO_GINAC_NAMESPACE
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#define HASHVALUE_NUMERIC 0x80000001U
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/** 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(const numeric & x);
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friend numeric log(const numeric & x);
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friend numeric sin(const numeric & x);
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friend numeric cos(const numeric & x);
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friend numeric tan(const numeric & x);
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friend numeric asin(const numeric & x);
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friend numeric acos(const numeric & x);
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friend numeric atan(const numeric & x);
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friend numeric atan(const numeric & y, const numeric & x);
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friend numeric sinh(const numeric & x);
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friend numeric cosh(const numeric & x);
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friend numeric tanh(const numeric & x);
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friend numeric asinh(const numeric & x);
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friend numeric acosh(const numeric & x);
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friend numeric atanh(const numeric & x);
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friend numeric zeta(const numeric & x);
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friend numeric bernoulli(const numeric & n);
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friend numeric abs(const numeric & x);
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friend numeric mod(const numeric & a, const numeric & b);
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friend numeric smod(const numeric & a, const numeric & b);
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friend numeric irem(const numeric & a, const numeric & b);
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friend numeric irem(const numeric & a, const numeric & b, numeric & q);
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friend numeric iquo(const numeric & a, const numeric & b);
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friend numeric iquo(const numeric & a, const numeric & b, numeric & r);
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friend numeric sqrt(const numeric & x);
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friend numeric isqrt(const numeric & x);
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friend numeric gcd(const numeric & a, const numeric & b);
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friend numeric lcm(const numeric & a, const numeric & b);
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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(const numeric & other);
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const numeric & operator=(const numeric & other);
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protected:
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void copy(const numeric & 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 print(ostream & os, unsigned precedence=0) 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 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(const numeric &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(const numeric & other) const;
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numeric sub(const numeric & other) const;
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numeric mul(const numeric & other) const;
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numeric div(const numeric & other) const;
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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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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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const numeric & operator=(char const * s);
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numeric inverse(void) const;
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int csgn(void) const;
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int compare(const numeric & other) const;
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bool is_equal(const numeric & 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 is_cinteger(void) const;
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bool is_crational(void) 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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bool operator>=(const numeric & 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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extern _numeric_digits Digits;
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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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numeric exp(const numeric & x);
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numeric log(const numeric & x);
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numeric sin(const numeric & x);
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numeric cos(const numeric & x);
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numeric tan(const numeric & x);
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numeric asin(const numeric & x);
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numeric acos(const numeric & x);
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numeric atan(const numeric & x);
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numeric atan(const numeric & y, const numeric & x);
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numeric sinh(const numeric & x);
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numeric cosh(const numeric & x);
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numeric tanh(const numeric & x);
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numeric asinh(const numeric & x);
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numeric acosh(const numeric & x);
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numeric atanh(const numeric & x);
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numeric zeta(const numeric & x);
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numeric gamma(const numeric & x);
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numeric psi(const numeric & x);
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numeric psi(const numeric & n, const numeric & x);
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numeric factorial(const numeric & n);
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numeric doublefactorial(const numeric & n);
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numeric binomial(const numeric & n, const numeric & k);
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numeric bernoulli(const numeric & n);
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numeric abs(const numeric & x);
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numeric mod(const numeric & a, const numeric & b);
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numeric smod(const numeric & a, const numeric & b);
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numeric irem(const numeric & a, const numeric & b);
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numeric irem(const numeric & a, const numeric & b, numeric & q);
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numeric iquo(const numeric & a, const numeric & b);
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numeric iquo(const numeric & a, const numeric & b, numeric & r);
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numeric sqrt(const numeric & x);
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numeric isqrt(const numeric & x);
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numeric gcd(const numeric & a, const numeric & b);
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numeric lcm(const numeric & a, const numeric & b);
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/** Exception thrown by numeric members to signal failure */
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struct numeric_fail
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{
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int failval;
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numeric_fail(int n) { failval = n; }
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};
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// wrapper functions around member functions
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inline numeric pow(const numeric & x, const numeric & y)
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{ return x.power(y); }
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inline numeric inverse(const numeric & x)
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{ return x.inverse(); }
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inline bool csgn(const numeric & x)
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{ return x.csgn(); }
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inline bool is_zero(const numeric & x)
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{ return x.is_zero(); }
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inline bool is_positive(const numeric & x)
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{ return x.is_positive(); }
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inline bool is_integer(const numeric & x)
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{ return x.is_integer(); }
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inline bool is_pos_integer(const numeric & x)
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{ return x.is_pos_integer(); }
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inline bool is_nonneg_integer(const numeric & x)
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{ return x.is_nonneg_integer(); }
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inline bool is_even(const numeric & x)
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{ return x.is_even(); }
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inline bool is_odd(const numeric & x)
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{ return x.is_odd(); }
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inline bool is_prime(const numeric & x)
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{ return x.is_prime(); }
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inline bool is_rational(const numeric & x)
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{ return x.is_rational(); }
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inline bool is_real(const numeric & x)
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{ return x.is_real(); }
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inline bool is_cinteger(const numeric & x)
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{ return x.is_cinteger(); }
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inline bool is_crational(const numeric & x)
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{ return x.is_crational(); }
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inline numeric real(const numeric & x)
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{ return x.real(); }
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inline numeric imag(const numeric & x)
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{ return x.imag(); }
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inline numeric numer(const numeric & x)
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{ return x.numer(); }
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inline numeric denom(const numeric & x)
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{ return x.denom(); }
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// numeric evaluation functions for class constant objects:
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ex PiEvalf(void);
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ex EulerGammaEvalf(void);
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ex CatalanEvalf(void);
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// utility functions
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inline const numeric &ex_to_numeric(const ex &e)
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{
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return static_cast<const numeric &>(*e.bp);
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}
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#ifndef NO_GINAC_NAMESPACE
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} // namespace GiNaC
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#endif // ndef NO_GINAC_NAMESPACE
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#endif // ndef __GINAC_NUMERIC_H__
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