// are defined in utils.h and not visible from outside.
extern const ex & _ex0(void); // single ex(numeric(0))
-// typedef vector<ex> exvector;
-
#define INLINE_EX_CONSTRUCTORS
/** Lightweight wrapper for GiNaC's symbolic objects. Basically all it does is
* provide methods for manipulation of these objects. */
class ex
{
- friend class basic;
+ friend class basic;
// member functions
- // default constructor, destructor, copy constructor assignment operator and helpers
+ // default constructor, destructor, copy constructor assignment operator and helpers
public:
- ex()
+ ex()
#ifdef INLINE_EX_CONSTRUCTORS
- : bp(_ex0().bp)
- {
- GINAC_ASSERT(_ex0().bp!=0);
- GINAC_ASSERT(_ex0().bp->flags & status_flags::dynallocated);
- GINAC_ASSERT(bp!=0);
- ++bp->refcount;
+ : bp(_ex0().bp)
+ {
+ GINAC_ASSERT(_ex0().bp!=0);
+ GINAC_ASSERT(_ex0().bp->flags & status_flags::dynallocated);
+ GINAC_ASSERT(bp!=0);
+ ++bp->refcount;
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
- ~ex()
+ ~ex()
#ifdef INLINE_EX_CONSTRUCTORS
- {
- GINAC_ASSERT(bp!=0);
- GINAC_ASSERT(bp->flags & status_flags::dynallocated);
- if (--bp->refcount == 0) {
- delete bp;
- }
- }
+ {
+ GINAC_ASSERT(bp!=0);
+ GINAC_ASSERT(bp->flags & status_flags::dynallocated);
+ if (--bp->refcount == 0) {
+ delete bp;
+ }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
-
- ex(const ex & other)
+
+ ex(const ex & other)
#ifdef INLINE_EX_CONSTRUCTORS
- : bp(other.bp)
- {
- GINAC_ASSERT(bp!=0);
- GINAC_ASSERT((bp->flags) & status_flags::dynallocated);
- ++bp->refcount;
+ : bp(other.bp)
+ {
+ GINAC_ASSERT(bp!=0);
+ GINAC_ASSERT((bp->flags) & status_flags::dynallocated);
+ ++bp->refcount;
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
-
- const ex & operator=(const ex & other)
+
+ const ex & operator=(const ex & other)
#ifdef INLINE_EX_CONSTRUCTORS
- {
- GINAC_ASSERT(bp!=0);
- GINAC_ASSERT(bp->flags & status_flags::dynallocated);
- GINAC_ASSERT(other.bp!=0);
- GINAC_ASSERT(other.bp->flags & status_flags::dynallocated);
- ++other.bp->refcount;
- basic * tmpbp=other.bp;
- if (--bp->refcount==0) {
- delete bp;
- }
- bp=tmpbp;
+ {
+ GINAC_ASSERT(bp!=0);
+ GINAC_ASSERT(bp->flags & status_flags::dynallocated);
+ GINAC_ASSERT(other.bp!=0);
+ GINAC_ASSERT(other.bp->flags & status_flags::dynallocated);
+ ++other.bp->refcount;
+ basic * tmpbp=other.bp;
+ if (--bp->refcount==0) {
+ delete bp;
+ }
+ bp=tmpbp;
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- return *this;
- }
+ return *this;
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
- // other constructors
+
+ // other constructors
public:
- ex(const basic & other)
+ ex(const basic & other)
#ifdef INLINE_EX_CONSTRUCTORS
- {
- construct_from_basic(other);
+ {
+ construct_from_basic(other);
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
-
- ex(int i)
+
+ ex(int i)
#ifdef INLINE_EX_CONSTRUCTORS
- {
- construct_from_int(i);
+ {
+ construct_from_int(i);
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
- ex(unsigned int i)
+ ex(unsigned int i)
#ifdef INLINE_EX_CONSTRUCTORS
- {
- construct_from_uint(i);
+ {
+ construct_from_uint(i);
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
-
- ex(long i)
+
+ ex(long i)
#ifdef INLINE_EX_CONSTRUCTORS
- {
- construct_from_long(i);
+ {
+ construct_from_long(i);
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
- ex(unsigned long i)
+ ex(unsigned long i)
+#ifdef INLINE_EX_CONSTRUCTORS
+ {
+ construct_from_ulong(i);
+#ifdef OBSCURE_CINT_HACK
+ update_last_created_or_assigned_bp();
+#endif // def OBSCURE_CINT_HACK
+ }
+#else
+;
+#endif // def INLINE_EX_CONSTRUCTORS
+
+ ex(double const d)
#ifdef INLINE_EX_CONSTRUCTORS
- {
- construct_from_ulong(i);
+ {
+ construct_from_double(d);
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
-
- ex(double const d)
+
+ /** Construct ex from string and a list of symbols. The input grammar is
+ * similar to the GiNaC output format. All symbols to be used in the
+ * expression must be specified in a lst in the second argument. Undefined
+ * symbols and other parser errors will throw an exception. */
+ ex(const std::string &s, const ex &l)
#ifdef INLINE_EX_CONSTRUCTORS
- {
- construct_from_double(d);
+ {
+ construct_from_string_and_lst(s, l);
#ifdef OBSCURE_CINT_HACK
- update_last_created_or_assigned_bp();
+ update_last_created_or_assigned_bp();
#endif // def OBSCURE_CINT_HACK
- }
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
-
- // functions overriding virtual functions from bases classes
- // none
-
- // new virtual functions which can be overridden by derived classes
- // none
+
+ // functions overriding virtual functions from bases 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:
- void swap(ex & other);
- void printraw(ostream & os) const;
- void printtree(ostream & os, unsigned indent=0) const;
- void print(ostream & os, unsigned upper_precedence=0) const;
- void printcsrc(ostream & os, unsigned type, const char *var_name) const;
- void dbgprint(void) const;
- void dbgprinttree(void) const;
- bool info(unsigned inf) const;
- unsigned nops() const;
- ex expand(unsigned options=0) const;
- bool has(const ex & other) const;
- int degree(const symbol & s) const;
- int ldegree(const symbol & s) const;
- ex coeff(const symbol & s, int n=1) const;
- ex lcoeff(const symbol & s) const { return coeff(s, degree(s)); }
- ex tcoeff(const symbol & s) const { return coeff(s, ldegree(s)); }
- ex numer(bool normalize = true) const;
- ex denom(bool normalize = true) const;
- ex unit(const symbol &x) const;
- ex content(const symbol &x) const;
- numeric integer_content(void) const;
- ex primpart(const symbol &x) const;
- ex primpart(const symbol &x, const ex &cont) const;
- ex normal(int level = 0) const;
- ex smod(const numeric &xi) const;
- numeric max_coefficient(void) const;
- ex collect(const symbol & s) const;
- ex eval(int level = 0) const;
- ex evalf(int level = 0) const;
- ex diff(const symbol & s, unsigned nth = 1) const;
- ex series(const symbol & s, const ex & point, int order = 6) const;
- ex subs(const lst & ls, const lst & lr) const;
- ex subs(const ex & e) const;
- exvector get_indices(void) const;
- ex simplify_ncmul(const exvector & v) const;
- ex operator[](const ex & index) const;
- ex operator[](int i) const;
- ex op(int i) const;
- ex & let_op(int i);
- int compare(const ex & other) const
+ void swap(ex & other);
+ void printraw(std::ostream & os) const;
+ void printtree(std::ostream & os, unsigned indent=0) const;
+ void print(std::ostream & os, unsigned upper_precedence=0) const;
+ void printcsrc(std::ostream & os, unsigned type, const char *var_name) const;
+ void dbgprint(void) const;
+ void dbgprinttree(void) const;
+ bool info(unsigned inf) const;
+ unsigned nops() const;
+ ex expand(unsigned options=0) const;
+ bool has(const ex & other) const;
+ int degree(const symbol & s) const;
+ int ldegree(const symbol & s) const;
+ ex coeff(const symbol & s, int n=1) const;
+ ex lcoeff(const symbol & s) const { return coeff(s, degree(s)); }
+ ex tcoeff(const symbol & s) const { return coeff(s, ldegree(s)); }
+ ex numer(void) const;
+ ex denom(void) const;
+ ex unit(const symbol &x) const;
+ ex content(const symbol &x) const;
+ numeric integer_content(void) const;
+ ex primpart(const symbol &x) const;
+ ex primpart(const symbol &x, const ex &cont) const;
+ ex normal(int level = 0) const;
+ ex to_rational(lst &repl_lst) const;
+ ex smod(const numeric &xi) const;
+ numeric max_coefficient(void) const;
+ ex collect(const symbol & s) const;
+ ex eval(int level = 0) const;
+ ex evalf(int level = 0) const;
+ ex diff(const symbol & s, unsigned nth = 1) const;
+ ex series(const ex & r, int order, unsigned options = 0) const;
+ ex subs(const lst & ls, const lst & lr) const;
+ ex subs(const ex & e) const;
+ exvector get_indices(void) const;
+ ex simplify_ncmul(const exvector & v) const;
+ ex operator[](const ex & index) const;
+ ex operator[](int i) const;
+ ex op(int i) const;
+ ex & let_op(int i);
+ ex lhs(void) const;
+ ex rhs(void) const;
+ int compare(const ex & other) const
#ifdef INLINE_EX_CONSTRUCTORS
- {
- GINAC_ASSERT(bp!=0);
- GINAC_ASSERT(other.bp!=0);
- if (bp==other.bp) {
- // special case: both expression point to same basic, trivially equal
- return 0;
- }
- return bp->compare(*other.bp);
- }
+ {
+ GINAC_ASSERT(bp!=0);
+ GINAC_ASSERT(other.bp!=0);
+ if (bp==other.bp) {
+ // special case: both expression point to same basic, trivially equal
+ return 0;
+ }
+ return bp->compare(*other.bp);
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
- bool is_equal(const ex & other) const
+ bool is_equal(const ex & other) const
#ifdef INLINE_EX_CONSTRUCTORS
- {
- GINAC_ASSERT(bp!=0);
- GINAC_ASSERT(other.bp!=0);
- if (bp==other.bp) {
- // special case: both expression point to same basic, trivially equal
- return true;
- }
- return bp->is_equal(*other.bp);
- }
+ {
+ GINAC_ASSERT(bp!=0);
+ GINAC_ASSERT(other.bp!=0);
+ if (bp==other.bp) {
+ // special case: both expression point to same basic, trivially equal
+ return true;
+ }
+ return bp->is_equal(*other.bp);
+ }
#else
;
#endif // def INLINE_EX_CONSTRUCTORS
- bool is_zero(void) const {return compare(_ex0())==0;};
-
- unsigned return_type(void) const;
- unsigned return_type_tinfo(void) const;
- unsigned gethash(void) const;
-
- ex exadd(const ex & rh) const;
- ex exmul(const ex & rh) const;
- ex exncmul(const ex & rh) const;
+ bool is_zero(void) const {return compare(_ex0())==0;};
+
+ unsigned return_type(void) const;
+ unsigned return_type_tinfo(void) const;
+ unsigned gethash(void) const;
+
+ ex exadd(const ex & rh) const;
+ ex exmul(const ex & rh) const;
+ ex exncmul(const ex & rh) const;
private:
- void construct_from_basic(const basic & other);
- void construct_from_int(int i);
- void construct_from_uint(unsigned int i);
- void construct_from_long(long i);
- void construct_from_ulong(unsigned long i);
- void construct_from_double(double d);
- void makewriteable();
+ void construct_from_basic(const basic & other);
+ void construct_from_int(int i);
+ void construct_from_uint(unsigned int i);
+ void construct_from_long(long i);
+ void construct_from_ulong(unsigned long i);
+ void construct_from_double(double d);
+ void construct_from_string_and_lst(const std::string &s, const ex &l);
+ void makewriteable();
#ifdef OBSCURE_CINT_HACK
public:
- static bool last_created_or_assigned_bp_can_be_converted_to_ex(void)
- {
- 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;
- }
+ static bool last_created_or_assigned_bp_can_be_converted_to_ex(void)
+ {
+ 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(void)
- {
- if (last_created_or_assigned_bp!=0) {
- if (--last_created_or_assigned_bp->refcount == 0) {
- delete last_created_or_assigned_bp;
- }
- }
- last_created_or_assigned_bp=bp;
- ++last_created_or_assigned_bp->refcount;
- }
+ void update_last_created_or_assigned_bp(void)
+ {
+ if (last_created_or_assigned_bp!=0) {
+ if (--last_created_or_assigned_bp->refcount == 0) {
+ delete last_created_or_assigned_bp;
+ }
+ }
+ last_created_or_assigned_bp=bp;
+ ++last_created_or_assigned_bp->refcount;
+ last_created_or_assigned_exp=(long)(void *)(this);
+ }
#endif // def OBSCURE_CINT_HACK
// member variables
public:
- basic *bp;
+ basic *bp;
#ifdef OBSCURE_CINT_HACK
- static basic *last_created_or_assigned_bp;
+ static basic * last_created_or_assigned_bp;
+ static basic * dummy_bp;
+ static long last_created_or_assigned_exp;
#endif // def OBSCURE_CINT_HACK
};
inline ex coeff(const ex & thisex, const symbol & s, int n=1)
{ return thisex.coeff(s, n); }
-inline ex numer(const ex & thisex, bool normalize = true)
-{ return thisex.numer(normalize); }
+inline ex numer(const ex & thisex)
+{ return thisex.numer(); }
-inline ex denom(const ex & thisex, bool normalize = true)
-{ return thisex.denom(normalize); }
+inline ex denom(const ex & thisex)
+{ return thisex.denom(); }
inline ex normal(const ex & thisex, int level=0)
{ return thisex.normal(level); }
+inline ex to_rational(const ex & thisex, lst & repl_lst)
+{ return thisex.to_rational(repl_lst); }
+
inline ex collect(const ex & thisex, const symbol & s)
{ return thisex.collect(s); }
inline ex diff(const ex & thisex, const symbol & s, unsigned nth = 1)
{ return thisex.diff(s, nth); }
-inline ex series(const ex & thisex, const symbol & s, const ex & point, int order = 6)
-{ return thisex.series(s, point, order); }
+inline ex series(const ex & thisex, const ex & r, int order, unsigned options = 0)
+{ return thisex.series(r, order, options); }
inline ex subs(const ex & thisex, const ex & e)
{ return thisex.subs(e); }
inline ex subs(const ex & thisex, const lst & ls, const lst & lr)
{ return thisex.subs(ls, lr); }
+inline ex op(const ex & thisex, int i)
+{ return thisex.op(i); }
+
+inline ex lhs(const ex & thisex)
+{ return thisex.lhs(); }
+
+inline ex rhs(const ex & thisex)
+{ return thisex.rhs(); }
+
+inline bool is_zero(const ex & thisex)
+{ return thisex.is_zero(); }
+
inline void swap(ex & e1, ex & e2)
{ e1.swap(e2); }
git://www.ginac.de / ginac.git / blobdiff