* Makes the interface to the underlying bignum package available. */
/*
- * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
#define __GINAC_NUMERIC_H__
#include <strstream>
-#include <ginac/basic.h>
-#include <ginac/ex.h>
+#include "basic.h"
+#include "ex.h"
class cl_N; // We want to include cln.h only in numeric.cpp in order to
// avoid namespace pollution and keep compile-time low.
-#ifndef NO_GINAC_NAMESPACE
+#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_GINAC_NAMESPACE
+#endif // ndef NO_NAMESPACE_GINAC
#define HASHVALUE_NUMERIC 0x80000001U
_numeric_digits();
_numeric_digits& operator=(long prec);
operator long();
- void print(ostream & os) const;
+ void print(std::ostream & os) const;
// member variables
private:
long digits;
* hierarchy. Objects of this type may directly be created by the user.*/
class numeric : public basic
{
+ GINAC_DECLARE_REGISTERED_CLASS(numeric, basic)
+
// friends
- friend numeric exp(numeric const & x);
- friend numeric log(numeric const & x);
- friend numeric sin(numeric const & x);
- friend numeric cos(numeric const & x);
- friend numeric tan(numeric const & x);
- friend numeric asin(numeric const & x);
- friend numeric acos(numeric const & x);
- friend numeric atan(numeric const & x);
- friend numeric atan(numeric const & y, numeric const & x);
- friend numeric sinh(numeric const & x);
- friend numeric cosh(numeric const & x);
- friend numeric tanh(numeric const & x);
- friend numeric asinh(numeric const & x);
- friend numeric acosh(numeric const & x);
- friend numeric atanh(numeric const & x);
- friend numeric zeta(numeric const & x);
- friend numeric bernoulli(numeric const & n);
- friend numeric abs(numeric const & x);
- friend numeric mod(numeric const & a, numeric const & b);
- friend numeric smod(numeric const & a, numeric const & b);
- friend numeric irem(numeric const & a, numeric const & b);
- friend numeric irem(numeric const & a, numeric const & b, numeric & q);
- friend numeric iquo(numeric const & a, numeric const & b);
- friend numeric iquo(numeric const & a, numeric const & b, numeric & r);
- friend numeric sqrt(numeric const & x);
- friend numeric isqrt(numeric const & x);
- friend numeric gcd(numeric const & a, numeric const & b);
- friend numeric lcm(numeric const & a, numeric const & b);
- friend numeric const & numZERO(void);
- friend numeric const & numONE(void);
- friend numeric const & numTWO(void);
- friend numeric const & numTHREE(void);
- friend numeric const & numMINUSONE(void);
- friend numeric const & numHALF(void);
+ friend const numeric exp(const numeric & x);
+ friend const numeric log(const numeric & x);
+ friend const numeric sin(const numeric & x);
+ friend const numeric cos(const numeric & x);
+ friend const numeric tan(const numeric & x);
+ friend const numeric asin(const numeric & x);
+ friend const numeric acos(const numeric & x);
+ friend const numeric atan(const numeric & x);
+ friend const numeric atan(const numeric & y, const numeric & x);
+ friend const numeric sinh(const numeric & x);
+ friend const numeric cosh(const numeric & x);
+ friend const numeric tanh(const numeric & x);
+ friend const numeric asinh(const numeric & x);
+ friend const numeric acosh(const numeric & x);
+ friend const numeric atanh(const numeric & x);
+ friend const numeric Li2(const numeric & x);
+ friend const numeric zeta(const numeric & x);
+ friend const numeric fibonacci(const numeric & n);
+ friend numeric abs(const numeric & x);
+ friend numeric mod(const numeric & a, const numeric & b);
+ friend numeric smod(const numeric & a, const numeric & b);
+ friend numeric irem(const numeric & a, const numeric & b);
+ friend numeric irem(const numeric & a, const numeric & b, numeric & q);
+ friend numeric iquo(const numeric & a, const numeric & b);
+ friend numeric iquo(const numeric & a, const numeric & b, numeric & r);
+ friend numeric sqrt(const numeric & x);
+ friend numeric isqrt(const numeric & x);
+ friend numeric gcd(const numeric & a, const numeric & b);
+ friend numeric lcm(const numeric & a, const numeric & b);
// member functions
public:
numeric();
~numeric();
- numeric(numeric const & other);
- numeric const & operator=(numeric const & other);
+ numeric(const numeric & other);
+ const numeric & operator=(const numeric & other);
protected:
- void copy(numeric const & other);
+ void copy(const numeric & other);
void destroy(bool call_parent);
// other constructors
explicit numeric(unsigned long i);
explicit numeric(long numer, long denom);
explicit numeric(double d);
- explicit numeric(char const *);
- numeric(cl_N const & z);
-
+ explicit numeric(const char *);
+ numeric(const cl_N & z);
+
// functions overriding virtual functions from bases classes
public:
basic * duplicate() const;
- void print(ostream & os, unsigned precedence=0) const;
- void printraw(ostream & os) const;
- void printtree(ostream & os, unsigned indent) const;
- void printcsrc(ostream & os, unsigned type, unsigned precedence=0) const;
+ void print(std::ostream & os, unsigned precedence=0) const;
+ void printraw(std::ostream & os) const;
+ void printtree(std::ostream & os, unsigned indent) const;
+ void printcsrc(std::ostream & os, unsigned type, unsigned precedence=0) const;
bool info(unsigned inf) const;
+ bool has(const ex & other) const;
+ ex eval(int level=0) const;
ex evalf(int level=0) const;
- ex diff(symbol const & s) const;
ex normal(lst &sym_lst, lst &repl_lst, int level=0) const;
+ ex to_rational(lst &repl_lst) const;
numeric integer_content(void) const;
- ex smod(numeric const &xi) const;
+ ex smod(const numeric &xi) const;
numeric max_coefficient(void) const;
protected:
- int compare_same_type(basic const & other) const;
- bool is_equal_same_type(basic const & other) const;
- unsigned calchash(void) const {
- hashvalue=HASHVALUE_NUMERIC;
- return HASHVALUE_NUMERIC;
- }
+ ex derivative(const symbol & s) const;
+ int compare_same_type(const basic & other) const;
+ bool is_equal_same_type(const basic & other) const;
+ unsigned calchash(void) const;
// new virtual functions which can be overridden by derived classes
// (none)
// non-virtual functions in this class
public:
- numeric add(numeric const & other) const;
- numeric sub(numeric const & other) const;
- numeric mul(numeric const & other) const;
- numeric div(numeric const & other) const;
- numeric power(numeric const & other) const;
- numeric const & add_dyn(numeric const & other) const;
- numeric const & sub_dyn(numeric const & other) const;
- numeric const & mul_dyn(numeric const & other) const;
- numeric const & div_dyn(numeric const & other) const;
- numeric const & power_dyn(numeric const & other) const;
- numeric const & operator=(int i);
- numeric const & operator=(unsigned int i);
- numeric const & operator=(long i);
- numeric const & operator=(unsigned long i);
- numeric const & operator=(double d);
- numeric const & operator=(char const * s);
- /*
- numeric add_dyn(numeric const & other) const { return add(other); }
- numeric sub_dyn(numeric const & other) const { return sub(other); }
- numeric mul_dyn(numeric const & other) const { return mul(other); }
- numeric div_dyn(numeric const & other) const { return div(other); }
- numeric power_dyn(numeric const & other) const { return power(other); }
- */
+ numeric add(const numeric & other) const;
+ numeric sub(const numeric & other) const;
+ numeric mul(const numeric & other) const;
+ numeric div(const numeric & other) const;
+ numeric power(const numeric & other) const;
+ const numeric & add_dyn(const numeric & other) const;
+ const numeric & sub_dyn(const numeric & other) const;
+ const numeric & mul_dyn(const numeric & other) const;
+ const numeric & div_dyn(const numeric & other) const;
+ const numeric & power_dyn(const numeric & other) const;
+ const numeric & operator=(int i);
+ const numeric & operator=(unsigned int i);
+ const numeric & operator=(long i);
+ const numeric & operator=(unsigned long i);
+ const numeric & operator=(double d);
+ const numeric & operator=(const char * s);
numeric inverse(void) const;
int csgn(void) const;
- int compare(numeric const & other) const;
- bool is_equal(numeric const & other) const;
+ ::cl_N* clnptr(void) const { return value; } /**< ptr to representation. */
+ int compare(const numeric & other) const;
+ bool is_equal(const numeric & other) const;
bool is_zero(void) const;
bool is_positive(void) const;
bool is_negative(void) const;
bool is_real(void) const;
bool is_cinteger(void) const;
bool is_crational(void) const;
- bool operator==(numeric const & other) const;
- bool operator!=(numeric const & other) const;
- bool operator<(numeric const & other) const;
- bool operator<=(numeric const & other) const;
- bool operator>(numeric const & other) const;
- bool operator>=(numeric const & other) const;
+ bool operator==(const numeric & other) const;
+ bool operator!=(const numeric & other) const;
+ bool operator<(const numeric & other) const;
+ bool operator<=(const numeric & other) const;
+ bool operator>(const numeric & other) const;
+ bool operator>=(const numeric & other) const;
int to_int(void) const;
+ long to_long(void) const;
double to_double(void) const;
- numeric real(void) const;
- numeric imag(void) const;
- numeric numer(void) const;
- numeric denom(void) const;
+ const numeric real(void) const;
+ const numeric imag(void) const;
+ const numeric numer(void) const;
+ const numeric denom(void) const;
int int_length(void) const;
// member variables
protected:
static unsigned precedence;
- cl_N *value;
+ ::cl_N *value;
};
// global constants
extern const numeric some_numeric;
extern const numeric I;
-extern type_info const & typeid_numeric;
+extern const type_info & typeid_numeric;
extern _numeric_digits Digits;
-#define is_a_numeric_hash(x) ((x)==HASHVALUE_NUMERIC)
+//#define is_a_numeric_hash(x) ((x)==HASHVALUE_NUMERIC)
// may have to be changed to ((x)>=0x80000000U)
+// has been changed
+//#define is_a_numeric_hash(x) ((x)&0x80000000U)
+
// global functions
-numeric const & numZERO(void);
-numeric const & numONE(void);
-numeric const & numTWO(void);
-numeric const & numMINUSONE(void);
-numeric const & numHALF(void);
-
-numeric exp(numeric const & x);
-numeric log(numeric const & x);
-numeric sin(numeric const & x);
-numeric cos(numeric const & x);
-numeric tan(numeric const & x);
-numeric asin(numeric const & x);
-numeric acos(numeric const & x);
-numeric atan(numeric const & x);
-numeric atan(numeric const & y, numeric const & x);
-numeric sinh(numeric const & x);
-numeric cosh(numeric const & x);
-numeric tanh(numeric const & x);
-numeric asinh(numeric const & x);
-numeric acosh(numeric const & x);
-numeric atanh(numeric const & x);
-numeric zeta(numeric const & x);
-numeric gamma(numeric const & x);
-numeric psi(numeric const & x);
-numeric psi(numeric const & n, numeric const & x);
-numeric factorial(numeric const & n);
-numeric doublefactorial(numeric const & n);
-numeric binomial(numeric const & n, numeric const & k);
-numeric bernoulli(numeric const & n);
-
-numeric abs(numeric const & x);
-numeric mod(numeric const & a, numeric const & b);
-numeric smod(numeric const & a, numeric const & b);
-numeric irem(numeric const & a, numeric const & b);
-numeric irem(numeric const & a, numeric const & b, numeric & q);
-numeric iquo(numeric const & a, numeric const & b);
-numeric iquo(numeric const & a, numeric const & b, numeric & r);
-numeric sqrt(numeric const & x);
-numeric isqrt(numeric const & x);
-
-numeric gcd(numeric const & a, numeric const & b);
-numeric lcm(numeric const & a, numeric const & b);
-
-/** Exception thrown by numeric members to signal failure */
-struct numeric_fail
-{
- int failval;
- numeric_fail(int n) { failval = n; }
-};
+const numeric exp(const numeric & x);
+const numeric log(const numeric & x);
+const numeric sin(const numeric & x);
+const numeric cos(const numeric & x);
+const numeric tan(const numeric & x);
+const numeric asin(const numeric & x);
+const numeric acos(const numeric & x);
+const numeric atan(const numeric & x);
+const numeric atan(const numeric & y, const numeric & x);
+const numeric sinh(const numeric & x);
+const numeric cosh(const numeric & x);
+const numeric tanh(const numeric & x);
+const numeric asinh(const numeric & x);
+const numeric acosh(const numeric & x);
+const numeric atanh(const numeric & x);
+const numeric Li2(const numeric & x);
+const numeric zeta(const numeric & x);
+const numeric lgamma(const numeric & x);
+const numeric tgamma(const numeric & x);
+const numeric psi(const numeric & x);
+const numeric psi(const numeric & n, const numeric & x);
+const numeric factorial(const numeric & n);
+const numeric doublefactorial(const numeric & n);
+const numeric binomial(const numeric & n, const numeric & k);
+const numeric bernoulli(const numeric & n);
+const numeric fibonacci(const numeric & n);
+
+numeric abs(const numeric & x);
+numeric mod(const numeric & a, const numeric & b);
+numeric smod(const numeric & a, const numeric & b);
+numeric irem(const numeric & a, const numeric & b);
+numeric irem(const numeric & a, const numeric & b, numeric & q);
+numeric iquo(const numeric & a, const numeric & b);
+numeric iquo(const numeric & a, const numeric & b, numeric & r);
+numeric sqrt(const numeric & x);
+numeric isqrt(const numeric & x);
+
+numeric gcd(const numeric & a, const numeric & b);
+numeric lcm(const numeric & a, const numeric & b);
// wrapper functions around member functions
-inline numeric inverse(numeric const & x)
+inline numeric pow(const numeric & x, const numeric & y)
+{ return x.power(y); }
+
+inline numeric inverse(const numeric & x)
{ return x.inverse(); }
-inline bool csgn(numeric const & x)
+inline int csgn(const numeric & x)
{ return x.csgn(); }
-inline bool is_zero(numeric const & x)
+inline bool is_zero(const numeric & x)
{ return x.is_zero(); }
-inline bool is_positive(numeric const & x)
+inline bool is_positive(const numeric & x)
{ return x.is_positive(); }
-inline bool is_integer(numeric const & x)
+inline bool is_integer(const numeric & x)
{ return x.is_integer(); }
-inline bool is_pos_integer(numeric const & x)
+inline bool is_pos_integer(const numeric & x)
{ return x.is_pos_integer(); }
-inline bool is_nonneg_integer(numeric const & x)
+inline bool is_nonneg_integer(const numeric & x)
{ return x.is_nonneg_integer(); }
-inline bool is_even(numeric const & x)
+inline bool is_even(const numeric & x)
{ return x.is_even(); }
-inline bool is_odd(numeric const & x)
+inline bool is_odd(const numeric & x)
{ return x.is_odd(); }
-inline bool is_prime(numeric const & x)
+inline bool is_prime(const numeric & x)
{ return x.is_prime(); }
-inline bool is_rational(numeric const & x)
+inline bool is_rational(const numeric & x)
{ return x.is_rational(); }
-inline bool is_real(numeric const & x)
+inline bool is_real(const numeric & x)
{ return x.is_real(); }
-inline bool is_cinteger(numeric const & x)
+inline bool is_cinteger(const numeric & x)
{ return x.is_cinteger(); }
-inline bool is_crational(numeric const & x)
+inline bool is_crational(const numeric & x)
{ return x.is_crational(); }
-inline numeric real(numeric const & x)
+inline const numeric real(const numeric & x)
{ return x.real(); }
-inline numeric imag(numeric const & x)
+inline const numeric imag(const numeric & x)
{ return x.imag(); }
-inline numeric numer(numeric const & x)
+inline const numeric numer(const numeric & x)
{ return x.numer(); }
-inline numeric denom(numeric const & x)
+inline const numeric denom(const numeric & x)
{ return x.denom(); }
// numeric evaluation functions for class constant objects:
ex PiEvalf(void);
-ex EulerGammaEvalf(void);
+ex EulerEvalf(void);
ex CatalanEvalf(void);
+
// utility functions
inline const numeric &ex_to_numeric(const ex &e)
{
return static_cast<const numeric &>(*e.bp);
}
-#ifndef NO_GINAC_NAMESPACE
+
+#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_GINAC_NAMESPACE
+#endif // ndef NO_NAMESPACE_GINAC
#endif // ndef __GINAC_NUMERIC_H__
git://www.ginac.de / ginac.git / blobdiff