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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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#ifndef _NUMERIC_H_
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#define _NUMERIC_H_
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#include <strstream>
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#define HASHVALUE_NUMERIC 0x80000001U
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class numeric; // Forward declaration, so basic doesn't argue...
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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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#include "basic.h"
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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(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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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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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 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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numeric asin(numeric const & x);
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numeric acos(numeric const & x);
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numeric atan(numeric const & x);
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numeric atan(numeric const & y, numeric const & x);
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numeric sinh(numeric const & x);
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numeric cosh(numeric const & x);
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numeric tanh(numeric const & x);
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numeric asinh(numeric const & x);
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numeric acosh(numeric const & x);
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numeric atanh(numeric const & x);
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numeric gamma(numeric const & x);
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numeric factorial(numeric const & n);
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numeric doublefactorial(numeric const & n);
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numeric binomial(numeric const & n, numeric const & k);
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numeric abs(numeric const & x);
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numeric mod(numeric const & a, numeric const & b);
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numeric smod(numeric const & a, numeric const & b);
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numeric irem(numeric const & a, numeric const & b);
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numeric irem(numeric const & a, numeric const & b, numeric & q);
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numeric iquo(numeric const & a, numeric const & b);
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numeric iquo(numeric const & a, numeric const & b, numeric & r);
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numeric sqrt(numeric const & x);
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numeric isqrt(numeric const & x);
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numeric gcd(numeric const & a, numeric const & b);
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numeric lcm(numeric const & a, numeric const & 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 inverse(numeric const & x)
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{ return x.inverse(); }
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inline bool is_zero(numeric const & x)
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{ return x.is_zero(); }
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inline bool is_positive(numeric const & x)
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{ return x.is_positive(); }
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inline bool is_integer(numeric const & x)
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{ return x.is_integer(); }
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inline bool is_pos_integer(numeric const & x)
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{ return x.is_pos_integer(); }
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inline bool is_nonneg_integer(numeric const & x)
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{ return x.is_nonneg_integer(); }
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inline bool is_even(numeric const & x)
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{ return x.is_even(); }
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inline bool is_odd(numeric const & x)
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{ return x.is_odd(); }
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inline bool is_prime(numeric const & x)
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{ return x.is_prime(); }
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inline bool is_rational(numeric const & x)
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{ return x.is_rational(); }
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inline bool is_real(numeric const & x)
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{ return x.is_real(); }
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inline numeric real(numeric const & x)
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{ return x.real(); }
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inline numeric imag(numeric const & x)
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{ return x.imag(); }
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inline numeric numer(numeric const & x)
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{ return x.numer(); }
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inline numeric denom(numeric const & x)
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{ return x.denom(); }
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/* do we need this any more? */
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//inline numeric factorial(int n)
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//{ return factorial(numeric(n)); }
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/* do we need this any more? */
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//inline numeric binomial(int n, int k)
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//{ return binomial(numeric(n), numeric(k)); }
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ex IEvalf(void);
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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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#define ex_to_numeric(X) static_cast<numeric const &>(*(X).bp)
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#endif // ndef _NUMERIC_H_
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