#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.
+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
{
// member functions
public:
- _numeric_digits();
- _numeric_digits& operator=(long prec);
- operator long();
- void print(ostream & os) const;
+ _numeric_digits();
+ _numeric_digits& operator=(long prec);
+ operator long();
+ void print(std::ostream & os) const;
// member variables
private:
- long digits;
- static bool too_late;
+ long digits;
+ static bool too_late;
};
/** This class is a wrapper around CLN-numbers within the GiNaC class
* hierarchy. Objects of this type may directly be created by the user.*/
class numeric : public basic
{
- GINAC_DECLARE_REGISTERED_CLASS(numeric, basic)
+ GINAC_DECLARE_REGISTERED_CLASS(numeric, basic)
// friends
- 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 zeta(const numeric & x);
- friend const numeric bernoulli(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);
+ 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
- // default constructor, destructor, copy constructor assignment
- // operator and helpers
+ // default constructor, destructor, copy constructor assignment
+ // operator and helpers
public:
- numeric();
- ~numeric();
- numeric(const numeric & other);
- const numeric & operator=(const numeric & other);
+ numeric();
+ ~numeric();
+ numeric(const numeric & other);
+ const numeric & operator=(const numeric & other);
protected:
- void copy(const numeric & other);
- void destroy(bool call_parent);
+ void copy(const numeric & other);
+ void destroy(bool call_parent);
- // other constructors
+ // other constructors
public:
- explicit numeric(int i);
- explicit numeric(unsigned int i);
- explicit numeric(long i);
- explicit numeric(unsigned long i);
- explicit numeric(long numer, long denom);
- explicit numeric(double d);
- explicit numeric(const char *);
- numeric(cl_N const & z);
-
- // functions overriding virtual functions from bases classes
+ explicit numeric(int i);
+ explicit numeric(unsigned int i);
+ explicit numeric(long i);
+ explicit numeric(unsigned long i);
+ explicit numeric(long numer, long denom);
+ explicit numeric(double d);
+ 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;
- bool info(unsigned inf) const;
- ex evalf(int level=0) const;
- ex diff(const symbol & s) const;
- ex normal(lst &sym_lst, lst &repl_lst, int level=0) const;
- numeric integer_content(void) const;
- ex smod(const numeric &xi) const;
- numeric max_coefficient(void) const;
+ basic * duplicate() 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 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(const numeric &xi) const;
+ numeric max_coefficient(void) const;
protected:
- int compare_same_type(const basic & other) const;
- bool is_equal_same_type(const basic & 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)
+ // new virtual functions which can be overridden by derived classes
+ // (none)
- // non-virtual functions in this class
+ // non-virtual functions in this class
public:
- 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(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_integer(void) const;
- bool is_pos_integer(void) const;
- bool is_nonneg_integer(void) const;
- bool is_even(void) const;
- bool is_odd(void) const;
- bool is_prime(void) const;
- bool is_rational(void) const;
- bool is_real(void) const;
- bool is_cinteger(void) const;
- bool is_crational(void) 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;
- int int_length(void) const;
+ 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;
+ ::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_integer(void) const;
+ bool is_pos_integer(void) const;
+ bool is_nonneg_integer(void) const;
+ bool is_even(void) const;
+ bool is_odd(void) const;
+ bool is_prime(void) const;
+ bool is_rational(void) const;
+ bool is_real(void) const;
+ bool is_cinteger(void) const;
+ bool is_crational(void) 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;
+ 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;
+ static unsigned precedence;
+ ::cl_N *value;
};
// global constants
extern const numeric some_numeric;
extern const numeric I;
-extern const type_info & typeid_numeric;
+extern const std::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
const numeric exp(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 gamma(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);
numeric gcd(const numeric & a, const numeric & b);
numeric lcm(const numeric & a, const numeric & b);
-/** Exception thrown by numeric members to signal failure */
-struct numeric_fail
-{
- int failval;
- numeric_fail(int n) { failval = n; }
-};
-
// wrapper functions around member functions
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(const numeric & x)
+inline int csgn(const numeric & x)
{ return x.csgn(); }
inline bool is_zero(const numeric & x)
inline bool is_crational(const numeric & x)
{ return x.is_crational(); }
-inline numeric real(const numeric & x)
+inline const numeric real(const numeric & x)
{ return x.real(); }
-inline numeric imag(const numeric & x)
+inline const numeric imag(const numeric & x)
{ return x.imag(); }
-inline numeric numer(const numeric & x)
+inline const numeric numer(const numeric & x)
{ return x.numer(); }
-inline numeric denom(const numeric & 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);
+ 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__