* Interface to GiNaC's light-weight expression handles. */
/*
- * GiNaC Copyright (C) 1999-2005 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2006 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
/** For construction of flyweights, etc. */
static library_init library_initializer;
+/** Rotate bits of unsigned value by one bit to the left.
+ * This can be necesary if the user wants to define its own hashes. */
+inline unsigned rotate_left(unsigned n)
+{
+ return (n & 0x80000000U) ? (n << 1 | 0x00000001U) : (n << 1);
+}
class scalar_products;
class const_iterator;
class const_postorder_iterator;
-/** Lightweight wrapper for GiNaC's symbolic objects. Basically all it does is
- * to hold a pointer to the other objects, manage the reference counting and
- * provide methods for manipulation of these objects. (Some people call such
- * a thing a proxy class.) */
+/** Lightweight wrapper for GiNaC's symbolic objects. It holds a pointer to
+ * the other object in order to do garbage collection by the method of
+ * reference counting. I.e., it is a smart pointer. Also, the constructor
+ * ex::ex(const basic & other) calls the methods that do automatic
+ * evaluation. E.g., x-x turns automatically into 0. */
class ex {
friend class archive_node;
friend inline bool are_ex_trivially_equal(const ex &, const ex &);
// default constructor, copy constructor and assignment operator
public:
ex() throw();
-#ifdef OBSCURE_CINT_HACK
- ex(const ex & other);
- ex & operator=(const ex & other);
-#endif
// other constructors
public:
ex lhs() const;
ex rhs() const;
- // complex conjugation
+ // function for complex expressions
ex conjugate() const { return bp->conjugate(); }
+ ex real_part() const { return bp->real_part(); }
+ ex imag_part() const { return bp->imag_part(); }
// pattern matching
- bool has(const ex & pattern) const { return bp->has(pattern); }
+ bool has(const ex & pattern, unsigned options = 0) const { return bp->has(pattern, options); }
bool find(const ex & pattern, lst & found) const;
bool match(const ex & pattern) const;
bool match(const ex & pattern, lst & repl_lst) const { return bp->match(pattern, repl_lst); }
void traverse(visitor & v) const { traverse_preorder(v); }
// degree/coeff
+ bool is_polynomial(const ex & vars) const;
int degree(const ex & s) const { return bp->degree(s); }
int ldegree(const ex & s) const { return bp->ldegree(s); }
ex coeff(const ex & s, int n = 1) const { return bp->coeff(s, n); }
int compare(const ex & other) const;
bool is_equal(const ex & other) const;
bool is_zero() const { extern const ex _ex0; return is_equal(_ex0); }
+ bool is_zero_matrix() const;
// symmetry
ex symmetrize() const;
// noncommutativity
unsigned return_type() const { return bp->return_type(); }
- unsigned return_type_tinfo() const { return bp->return_type_tinfo(); }
+ tinfo_t return_type_tinfo() const { return bp->return_type_tinfo(); }
unsigned gethash() const { return bp->gethash(); }
void makewriteable();
void share(const ex & other) const;
-#ifdef OBSCURE_CINT_HACK
-public:
- static bool last_created_or_assigned_bp_can_be_converted_to_ex()
- {
- if (last_created_or_assigned_bp==0) return false;
- if ((last_created_or_assigned_bp->flags &
- status_flags::dynallocated)==0) return false;
- if ((last_created_or_assigned_bp->flags &
- status_flags::evaluated)==0) return false;
- return true;
- }
-protected:
- void update_last_created_or_assigned_bp()
- {
- last_created_or_assigned_bp = bp;
- last_created_or_assigned_exp = (long)(void *)(this);
- }
-#endif // def OBSCURE_CINT_HACK
-
// member variables
private:
mutable ptr<basic> bp; ///< pointer to basic object managed by this
-
-#ifdef OBSCURE_CINT_HACK
-public:
- static ptr<basic> last_created_or_assigned_bp;
- static basic * dummy_bp;
- static long last_created_or_assigned_exp;
-#endif // def OBSCURE_CINT_HACK
};
ex::ex() throw() : bp(*const_cast<basic *>(_num0_bp))
{
GINAC_ASSERT(bp->flags & status_flags::dynallocated);
-#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
-#endif // def OBSCURE_CINT_HACK
-}
-
-#ifdef OBSCURE_CINT_HACK
-inline
-ex::ex(const ex & other) : bp(other.bp)
-{
- GINAC_ASSERT((bp->flags) & status_flags::dynallocated);
- update_last_created_or_assigned_bp();
-}
-
-inline
-ex & ex::operator=(const ex & other)
-{
- GINAC_ASSERT(bp->flags & status_flags::dynallocated);
- GINAC_ASSERT(other.bp->flags & status_flags::dynallocated);
- bp = other.bp;
- update_last_created_or_assigned_bp();
- return *this;
}
-#endif // def OBSCURE_CINT_HACK
inline
ex::ex(const basic & other) : bp(construct_from_basic(other))
{
GINAC_ASSERT(bp->flags & status_flags::dynallocated);
-#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
-#endif // def OBSCURE_CINT_HACK
}
inline
ex::ex(int i) : bp(construct_from_int(i))
{
GINAC_ASSERT(bp->flags & status_flags::dynallocated);
-#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
-#endif // def OBSCURE_CINT_HACK
}
inline
ex::ex(unsigned int i) : bp(construct_from_uint(i))
{
GINAC_ASSERT(bp->flags & status_flags::dynallocated);
-#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
-#endif // def OBSCURE_CINT_HACK
}
inline
ex::ex(long i) : bp(construct_from_long(i))
{
GINAC_ASSERT(bp->flags & status_flags::dynallocated);
-#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
-#endif // def OBSCURE_CINT_HACK
}
inline
ex::ex(unsigned long i) : bp(construct_from_ulong(i))
{
GINAC_ASSERT(bp->flags & status_flags::dynallocated);
-#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
-#endif // def OBSCURE_CINT_HACK
}
inline
ex::ex(double const d) : bp(construct_from_double(d))
{
GINAC_ASSERT(bp->flags & status_flags::dynallocated);
-#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
-#endif // def OBSCURE_CINT_HACK
}
inline
ex::ex(const std::string &s, const ex &l) : bp(construct_from_string_and_lst(s, l))
{
GINAC_ASSERT(bp->flags & status_flags::dynallocated);
-#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
-#endif // def OBSCURE_CINT_HACK
}
inline
#ifdef GINAC_COMPARE_STATISTICS
compare_statistics.nontrivial_is_equals++;
#endif
- const bool equal = bp->is_equal(*other.bp);
+ const bool equal = bp->is_equal(*other.bp);
#if 0
if (equal) {
// Expressions point to different, but equal, trees: conserve
void operator() (ex &lh, ex &rh) const { lh.swap(rh); }
};
+// Make it possible to print exvectors and exmaps
+std::ostream & operator<<(std::ostream & os, const exvector & e);
+std::ostream & operator<<(std::ostream & os, const exmap & e);
+
// wrapper functions around member functions
inline size_t nops(const ex & thisex)
{ return thisex.nops(); }
inline ex conjugate(const ex & thisex)
{ return thisex.conjugate(); }
-inline bool has(const ex & thisex, const ex & pattern)
-{ return thisex.has(pattern); }
+inline ex real_part(const ex & thisex)
+{ return thisex.real_part(); }
+
+inline ex imag_part(const ex & thisex)
+{ return thisex.imag_part(); }
+
+inline bool has(const ex & thisex, const ex & pattern, unsigned options = 0)
+{ return thisex.has(pattern, options); }
inline bool find(const ex & thisex, const ex & pattern, lst & found)
{ return thisex.find(pattern, found); }
+inline bool is_polynomial(const ex & thisex, const ex & vars)
+{ return thisex.is_polynomial(vars); }
+
inline int degree(const ex & thisex, const ex & s)
{ return thisex.degree(s); }
ex operator()(const ex & e) { return ptr(e, arg1, arg2, arg3); }
};
+template<class C>
+class pointer_to_member_to_map_function : public map_function {
+protected:
+ ex (C::*ptr)(const ex &);
+ C &c;
+public:
+ explicit pointer_to_member_to_map_function(ex (C::*member)(const ex &), C &obj) : ptr(member), c(obj) {}
+ ex operator()(const ex & e) { return (c.*ptr)(e); }
+};
+
+template<class C, class T1>
+class pointer_to_member_to_map_function_1arg : public map_function {
+protected:
+ ex (C::*ptr)(const ex &, T1);
+ C &c;
+ T1 arg1;
+public:
+ explicit pointer_to_member_to_map_function_1arg(ex (C::*member)(const ex &, T1), C &obj, T1 a1) : ptr(member), c(obj), arg1(a1) {}
+ ex operator()(const ex & e) { return (c.*ptr)(e, arg1); }
+};
+
+template<class C, class T1, class T2>
+class pointer_to_member_to_map_function_2args : public map_function {
+protected:
+ ex (C::*ptr)(const ex &, T1, T2);
+ C &c;
+ T1 arg1;
+ T2 arg2;
+public:
+ explicit pointer_to_member_to_map_function_2args(ex (C::*member)(const ex&, T1, T2), C &obj, T1 a1, T2 a2) : ptr(member), c(obj), arg1(a1), arg2(a2) {}
+ ex operator()(const ex & e) { return (c.*ptr)(e, arg1, arg2); }
+};
+
+template<class C, class T1, class T2, class T3>
+class pointer_to_member_to_map_function_3args : public map_function {
+protected:
+ ex (C::*ptr)(const ex &, T1, T2, T3);
+ C &c;
+ T1 arg1;
+ T2 arg2;
+ T3 arg3;
+public:
+ explicit pointer_to_member_to_map_function_3args(ex (C::*member)(const ex &, T1, T2, T3), C &obj, T1 a1, T2 a2, T3 a3) : ptr(member), c(obj), arg1(a1), arg2(a2), arg3(a3) {}
+ ex operator()(const ex & e) { return (c.*ptr)(e, arg1, arg2, arg3); }
+};
+
inline ex ex::map(ex f(const ex &)) const
{
pointer_to_map_function fcn(f);
git://www.ginac.de / ginac.git / blobdiff