* Implementation of GiNaC's sums of expressions. */
/*
- * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2003 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
#include "add.h"
#include "mul.h"
-#include "debugmsg.h"
+#include "archive.h"
+#include "operators.h"
+#include "matrix.h"
+#include "utils.h"
namespace GiNaC {
+GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(add, expairseq,
+ print_func<print_context>(&add::do_print).
+ print_func<print_latex>(&add::do_print_latex).
+ print_func<print_csrc>(&add::do_print_csrc).
+ print_func<print_tree>(&inherited::do_print_tree).
+ print_func<print_python_repr>(&add::do_print_python_repr))
+
//////////
-// default constructor, destructor, copy constructor assignment operator and helpers
+// default constructor
//////////
-// public
-
add::add()
{
- debugmsg("add default constructor",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_add;
-}
-
-add::~add()
-{
- debugmsg("add destructor",LOGLEVEL_DESTRUCT);
- destroy(0);
-}
-
-add::add(add const & other)
-{
- debugmsg("add copy constructor",LOGLEVEL_CONSTRUCT);
- copy(other);
-}
-
-add const & add::operator=(add const & other)
-{
- debugmsg("add operator=",LOGLEVEL_ASSIGNMENT);
- if (this != &other) {
- destroy(1);
- copy(other);
- }
- return *this;
-}
-
-// protected
-
-void add::copy(add const & other)
-{
- expairseq::copy(other);
-}
-
-void add::destroy(bool call_parent)
-{
- if (call_parent) expairseq::destroy(call_parent);
+ tinfo_key = TINFO_add;
}
//////////
// public
-add::add(ex const & lh, ex const & rh)
+add::add(const ex & lh, const ex & rh)
{
- debugmsg("add constructor from ex,ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_add;
- overall_coeff=exZERO();
- construct_from_2_ex(lh,rh);
- GINAC_ASSERT(is_canonical());
+ tinfo_key = TINFO_add;
+ overall_coeff = _ex0;
+ construct_from_2_ex(lh,rh);
+ GINAC_ASSERT(is_canonical());
}
-add::add(exvector const & v)
+add::add(const exvector & v)
{
- debugmsg("add constructor from exvector",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_add;
- overall_coeff=exZERO();
- construct_from_exvector(v);
- GINAC_ASSERT(is_canonical());
+ tinfo_key = TINFO_add;
+ overall_coeff = _ex0;
+ construct_from_exvector(v);
+ GINAC_ASSERT(is_canonical());
}
-/*
-add::add(epvector const & v, bool do_not_canonicalize)
+add::add(const epvector & v)
{
- debugmsg("add constructor from epvector,bool",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_add;
- if (do_not_canonicalize) {
- seq=v;
-#ifdef EXPAIRSEQ_USE_HASHTAB
- combine_same_terms(); // to build hashtab
-#endif // def EXPAIRSEQ_USE_HASHTAB
- } else {
- construct_from_epvector(v);
- }
- GINAC_ASSERT(is_canonical());
+ tinfo_key = TINFO_add;
+ overall_coeff = _ex0;
+ construct_from_epvector(v);
+ GINAC_ASSERT(is_canonical());
}
-*/
-add::add(epvector const & v)
+add::add(const epvector & v, const ex & oc)
{
- debugmsg("add constructor from epvector",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_add;
- overall_coeff=exZERO();
- construct_from_epvector(v);
- GINAC_ASSERT(is_canonical());
+ tinfo_key = TINFO_add;
+ overall_coeff = oc;
+ construct_from_epvector(v);
+ GINAC_ASSERT(is_canonical());
}
-add::add(epvector const & v, ex const & oc)
+add::add(std::auto_ptr<epvector> vp, const ex & oc)
{
- debugmsg("add constructor from epvector,ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_add;
- overall_coeff=oc;
- construct_from_epvector(v);
- GINAC_ASSERT(is_canonical());
+ tinfo_key = TINFO_add;
+ GINAC_ASSERT(vp!=0);
+ overall_coeff = oc;
+ construct_from_epvector(*vp);
+ GINAC_ASSERT(is_canonical());
}
-add::add(epvector * vp, ex const & oc)
-{
- debugmsg("add constructor from epvector *,ex",LOGLEVEL_CONSTRUCT);
- tinfo_key = TINFO_add;
- GINAC_ASSERT(vp!=0);
- overall_coeff=oc;
- construct_from_epvector(*vp);
- delete vp;
- GINAC_ASSERT(is_canonical());
-}
+//////////
+// archiving
+//////////
+
+DEFAULT_ARCHIVING(add)
//////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
//////////
// public
-basic * add::duplicate() const
-{
- debugmsg("add duplicate",LOGLEVEL_DUPLICATE);
- return new add(*this);
+void add::print_add(const print_context & c, const char *openbrace, const char *closebrace, const char *mul_sym, unsigned level) const
+{
+ if (precedence() <= level)
+ c.s << openbrace << '(';
+
+ numeric coeff;
+ bool first = true;
+
+ // First print the overall numeric coefficient, if present
+ if (!overall_coeff.is_zero()) {
+ overall_coeff.print(c, 0);
+ first = false;
+ }
+
+ // Then proceed with the remaining factors
+ epvector::const_iterator it = seq.begin(), itend = seq.end();
+ while (it != itend) {
+ coeff = ex_to<numeric>(it->coeff);
+ if (!first) {
+ if (coeff.csgn() == -1) c.s << '-'; else c.s << '+';
+ } else {
+ if (coeff.csgn() == -1) c.s << '-';
+ first = false;
+ }
+ if (!coeff.is_equal(_num1) &&
+ !coeff.is_equal(_num_1)) {
+ if (coeff.is_rational()) {
+ if (coeff.is_negative())
+ (-coeff).print(c);
+ else
+ coeff.print(c);
+ } else {
+ if (coeff.csgn() == -1)
+ (-coeff).print(c, precedence());
+ else
+ coeff.print(c, precedence());
+ }
+ c.s << mul_sym;
+ }
+ it->rest.print(c, precedence());
+ ++it;
+ }
+
+ if (precedence() <= level)
+ c.s << ')' << closebrace;
+}
+
+void add::do_print(const print_context & c, unsigned level) const
+{
+ print_add(c, "", "", "*", level);
+}
+
+void add::do_print_latex(const print_latex & c, unsigned level) const
+{
+ print_add(c, "{", "}", " ", level);
+}
+
+void add::do_print_csrc(const print_csrc & c, unsigned level) const
+{
+ if (precedence() <= level)
+ c.s << "(";
+
+ // Print arguments, separated by "+"
+ epvector::const_iterator it = seq.begin(), itend = seq.end();
+ while (it != itend) {
+
+ // If the coefficient is -1, it is replaced by a single minus sign
+ if (it->coeff.is_equal(_ex1)) {
+ it->rest.print(c, precedence());
+ } else if (it->coeff.is_equal(_ex_1)) {
+ c.s << "-";
+ it->rest.print(c, precedence());
+ } else if (ex_to<numeric>(it->coeff).numer().is_equal(_num1)) {
+ it->rest.print(c, precedence());
+ c.s << "/";
+ ex_to<numeric>(it->coeff).denom().print(c, precedence());
+ } else if (ex_to<numeric>(it->coeff).numer().is_equal(_num_1)) {
+ c.s << "-";
+ it->rest.print(c, precedence());
+ c.s << "/";
+ ex_to<numeric>(it->coeff).denom().print(c, precedence());
+ } else {
+ it->coeff.print(c, precedence());
+ c.s << "*";
+ it->rest.print(c, precedence());
+ }
+
+ // Separator is "+", except if the following expression would have a leading minus sign or the sign is sitting in parenthesis (as in a ctor)
+ ++it;
+ if (it != itend
+ && (is_a<print_csrc_cl_N>(c) || !it->coeff.info(info_flags::real) // sign inside ctor arguments
+ || !(it->coeff.info(info_flags::negative) || (it->coeff.is_equal(_num1) && is_exactly_a<numeric>(it->rest) && it->rest.info(info_flags::negative)))))
+ c.s << "+";
+ }
+
+ if (!overall_coeff.is_zero()) {
+ if (overall_coeff.info(info_flags::positive)
+ || is_a<print_csrc_cl_N>(c) || !overall_coeff.info(info_flags::real)) // sign inside ctor argument
+ c.s << '+';
+ overall_coeff.print(c, precedence());
+ }
+
+ if (precedence() <= level)
+ c.s << ")";
+}
+
+void add::do_print_python_repr(const print_python_repr & c, unsigned level) const
+{
+ c.s << class_name() << '(';
+ op(0).print(c);
+ for (size_t i=1; i<nops(); ++i) {
+ c.s << ',';
+ op(i).print(c);
+ }
+ c.s << ')';
}
bool add::info(unsigned inf) const
{
- // TODO: optimize
- if (inf==info_flags::polynomial || inf==info_flags::integer_polynomial || inf==info_flags::rational_polynomial || inf==info_flags::rational_function) {
- for (epvector::const_iterator it=seq.begin(); it!=seq.end(); ++it) {
- if (!(recombine_pair_to_ex(*it).info(inf)))
- return false;
- }
- return true;
- } else {
- return expairseq::info(inf);
- }
-}
-
-int add::degree(symbol const & s) const
-{
- int deg=INT_MIN;
- if (!overall_coeff.is_equal(exZERO())) {
- deg=0;
- }
- int cur_deg;
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- cur_deg=(*cit).rest.degree(s);
- if (cur_deg>deg) deg=cur_deg;
- }
- return deg;
-}
-
-int add::ldegree(symbol const & s) const
-{
- int deg=INT_MAX;
- if (!overall_coeff.is_equal(exZERO())) {
- deg=0;
- }
- int cur_deg;
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- cur_deg=(*cit).rest.ldegree(s);
- if (cur_deg<deg) deg=cur_deg;
- }
- return deg;
-}
-
-ex add::coeff(symbol const & s, int const n) const
-{
- epvector coeffseq;
- coeffseq.reserve(seq.size());
-
- epvector::const_iterator it=seq.begin();
- while (it!=seq.end()) {
- coeffseq.push_back(combine_ex_with_coeff_to_pair((*it).rest.coeff(s,n),
- (*it).coeff));
- ++it;
- }
- if (n==0) {
- return (new add(coeffseq,overall_coeff))->setflag(status_flags::dynallocated);
- }
- return (new add(coeffseq))->setflag(status_flags::dynallocated);
-}
-
-/*
-ex add::eval(int level) const
-{
- // simplifications: +(...,x,c1,c2) -> +(...,x,c1+c2) (c1, c2 numeric())
- // +(...,(c1,c2)) -> (...,(c1*c2,1)) (normalize)
- // +(...,x,0) -> +(...,x)
- // +(x) -> x
- // +() -> 0
-
- debugmsg("add eval",LOGLEVEL_MEMBER_FUNCTION);
-
- epvector newseq=seq;
- epvector::iterator it1,it2;
-
- // +(...,x,c1,c2) -> +(...,x,c1+c2) (c1, c2 numeric())
- it2=newseq.end()-1;
- it1=it2-1;
- while ((newseq.size()>=2)&&is_exactly_of_type(*(*it1).rest.bp,numeric)&&
- is_exactly_of_type(*(*it2).rest.bp,numeric)) {
- *it1=expair(ex_to_numeric((*it1).rest).mul(ex_to_numeric((*it1).coeff))
- .add(ex_to_numeric((*it2).rest).mul(ex_to_numeric((*it2).coeff))),exONE());
- newseq.pop_back();
- it2=newseq.end()-1;
- it1=it2-1;
- }
-
- if ((newseq.size()>=1)&&is_exactly_of_type(*(*it2).rest.bp,numeric)) {
- // +(...,(c1,c2)) -> (...,(c1*c2,1)) (normalize)
- *it2=expair(ex_to_numeric((*it2).rest).mul(ex_to_numeric((*it2).coeff)),exONE());
- // +(...,x,0) -> +(...,x)
- if (ex_to_numeric((*it2).rest).compare(0)==0) {
- newseq.pop_back();
- }
- }
-
- if (newseq.size()==0) {
- // +() -> 0
- return exZERO();
- } else if (newseq.size()==1) {
- // +(x) -> x
- return recombine_pair_to_ex(*(newseq.begin()));
- }
-
- return (new add(newseq,1))->setflag(status_flags::dynallocated |
- status_flags::evaluated );
-}
-*/
-
-/*
-ex add::eval(int level) const
-{
- // simplifications: +(...,x,c1,c2) -> +(...,x,c1+c2) (c1, c2 numeric())
- // +(...,(c1,c2)) -> (...,(c1*c2,1)) (normalize)
- // +(...,x,0) -> +(...,x)
- // +(x) -> x
- // +() -> 0
-
- debugmsg("add eval",LOGLEVEL_MEMBER_FUNCTION);
-
- if ((level==1)&&(flags & status_flags::evaluated)) {
-#ifdef DO_GINAC_ASSERT
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,add));
- GINAC_ASSERT(!(is_ex_exactly_of_type((*cit).rest,numeric)&&
- (ex_to_numeric((*cit).coeff).compare(numONE())!=0)));
- }
-#endif // def DO_GINAC_ASSERT
- return *this;
- }
-
- epvector newseq;
- epvector::iterator it1,it2;
- bool seq_copied=false;
-
- epvector * evaled_seqp=evalchildren(level);
- if (evaled_seqp!=0) {
- // do more evaluation later
- return (new add(evaled_seqp))->setflag(status_flags::dynallocated);
- }
-
-#ifdef DO_GINAC_ASSERT
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,add));
- GINAC_ASSERT(!(is_ex_exactly_of_type((*cit).rest,numeric)&&
- (ex_to_numeric((*cit).coeff).compare(numONE())!=0)));
- }
-#endif // def DO_GINAC_ASSERT
-
- if (flags & status_flags::evaluated) {
- return *this;
- }
-
- expair const & last_expair=*(seq.end()-1);
- expair const & next_to_last_expair=*(seq.end()-2);
- int seq_size = seq.size();
-
- // +(...,x,c1,c2) -> +(...,x,c1+c2) (c1, c2 numeric())
- if ((!seq_copied)&&(seq_size>=2)&&
- is_ex_exactly_of_type(last_expair.rest,numeric)&&
- is_ex_exactly_of_type(next_to_last_expair.rest,numeric)) {
- newseq=seq;
- seq_copied=true;
- it2=newseq.end()-1;
- it1=it2-1;
- }
- while (seq_copied&&(newseq.size()>=2)&&
- is_ex_exactly_of_type((*it1).rest,numeric)&&
- is_ex_exactly_of_type((*it2).rest,numeric)) {
- *it1=expair(ex_to_numeric((*it1).rest).mul(ex_to_numeric((*it1).coeff))
- .add_dyn(ex_to_numeric((*it2).rest).mul(ex_to_numeric((*it2).coeff))),exONE());
- newseq.pop_back();
- it2=newseq.end()-1;
- it1=it2-1;
- }
-
- // +(...,(c1,c2)) -> (...,(c1*c2,1)) (normalize)
- if ((!seq_copied)&&(seq_size>=1)&&
- (is_ex_exactly_of_type(last_expair.rest,numeric))&&
- (ex_to_numeric(last_expair.coeff).compare(numONE())!=0)) {
- newseq=seq;
- seq_copied=true;
- it2=newseq.end()-1;
- }
- if (seq_copied&&(newseq.size()>=1)&&
- (is_ex_exactly_of_type((*it2).rest,numeric))&&
- (ex_to_numeric((*it2).coeff).compare(numONE())!=0)) {
- *it2=expair(ex_to_numeric((*it2).rest).mul_dyn(ex_to_numeric((*it2).coeff)),exONE());
- }
-
- // +(...,x,0) -> +(...,x)
- if ((!seq_copied)&&(seq_size>=1)&&
- (is_ex_exactly_of_type(last_expair.rest,numeric))&&
- (ex_to_numeric(last_expair.rest).is_zero())) {
- newseq=seq;
- seq_copied=true;
- it2=newseq.end()-1;
- }
- if (seq_copied&&(newseq.size()>=1)&&
- (is_ex_exactly_of_type((*it2).rest,numeric))&&
- (ex_to_numeric((*it2).rest).is_zero())) {
- newseq.pop_back();
- }
-
- // +() -> 0
- if ((!seq_copied)&&(seq_size==0)) {
- return exZERO();
- } else if (seq_copied&&(newseq.size()==0)) {
- return exZERO();
- }
-
- // +(x) -> x
- if ((!seq_copied)&&(seq_size==1)) {
- return recombine_pair_to_ex(*(seq.begin()));
- } else if (seq_copied&&(newseq.size()==1)) {
- return recombine_pair_to_ex(*(newseq.begin()));
- }
-
- if (!seq_copied) return this->hold();
-
- return (new add(newseq,1))->setflag(status_flags::dynallocated |
- status_flags::evaluated );
-}
-*/
-
+ switch (inf) {
+ case info_flags::polynomial:
+ case info_flags::integer_polynomial:
+ case info_flags::cinteger_polynomial:
+ case info_flags::rational_polynomial:
+ case info_flags::crational_polynomial:
+ case info_flags::rational_function: {
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ if (!(recombine_pair_to_ex(*i).info(inf)))
+ return false;
+ ++i;
+ }
+ return overall_coeff.info(inf);
+ }
+ case info_flags::algebraic: {
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ if ((recombine_pair_to_ex(*i).info(inf)))
+ return true;
+ ++i;
+ }
+ return false;
+ }
+ }
+ return inherited::info(inf);
+}
+
+int add::degree(const ex & s) const
+{
+ int deg = INT_MIN;
+ if (!overall_coeff.is_zero())
+ deg = 0;
+
+ // Find maximum of degrees of individual terms
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ int cur_deg = i->rest.degree(s);
+ if (cur_deg > deg)
+ deg = cur_deg;
+ ++i;
+ }
+ return deg;
+}
+
+int add::ldegree(const ex & s) const
+{
+ int deg = INT_MAX;
+ if (!overall_coeff.is_zero())
+ deg = 0;
+
+ // Find minimum of degrees of individual terms
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ int cur_deg = i->rest.ldegree(s);
+ if (cur_deg < deg)
+ deg = cur_deg;
+ ++i;
+ }
+ return deg;
+}
+
+ex add::coeff(const ex & s, int n) const
+{
+ std::auto_ptr<epvector> coeffseq(new epvector);
+
+ // Calculate sum of coefficients in each term
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ ex restcoeff = i->rest.coeff(s, n);
+ if (!restcoeff.is_zero())
+ coeffseq->push_back(combine_ex_with_coeff_to_pair(restcoeff, i->coeff));
+ ++i;
+ }
+
+ return (new add(coeffseq, n==0 ? overall_coeff : _ex0))->setflag(status_flags::dynallocated);
+}
+
+/** Perform automatic term rewriting rules in this class. In the following
+ * x stands for a symbolic variables of type ex and c stands for such
+ * an expression that contain a plain number.
+ * - +(;c) -> c
+ * - +(x;0) -> x
+ *
+ * @param level cut-off in recursive evaluation */
ex add::eval(int level) const
{
- // simplifications: +(;c) -> c
- // +(x;1) -> x
-
- debugmsg("add eval",LOGLEVEL_MEMBER_FUNCTION);
-
- epvector * evaled_seqp=evalchildren(level);
- if (evaled_seqp!=0) {
- // do more evaluation later
- return (new add(evaled_seqp,overall_coeff))->
- setflag(status_flags::dynallocated);
- }
-
+ std::auto_ptr<epvector> evaled_seqp = evalchildren(level);
+ if (evaled_seqp.get()) {
+ // do more evaluation later
+ return (new add(evaled_seqp, overall_coeff))->
+ setflag(status_flags::dynallocated);
+ }
+
#ifdef DO_GINAC_ASSERT
- for (epvector::const_iterator cit=seq.begin(); cit!=seq.end(); ++cit) {
- GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,add));
- if (is_ex_exactly_of_type((*cit).rest,numeric)) {
- dbgprint();
- }
- GINAC_ASSERT(!is_ex_exactly_of_type((*cit).rest,numeric));
- }
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ GINAC_ASSERT(!is_exactly_a<add>(i->rest));
+ if (is_exactly_a<numeric>(i->rest))
+ dbgprint();
+ GINAC_ASSERT(!is_exactly_a<numeric>(i->rest));
+ ++i;
+ }
#endif // def DO_GINAC_ASSERT
-
- if (flags & status_flags::evaluated) {
- GINAC_ASSERT(seq.size()>0);
- GINAC_ASSERT((seq.size()>1)||!overall_coeff.is_equal(exZERO()));
- return *this;
- }
-
- int seq_size=seq.size();
- if (seq_size==0) {
- // +(;c) -> c
- return overall_coeff;
- } else if ((seq_size==1)&&overall_coeff.is_equal(exZERO())) {
- // +(x;0) -> x
- return recombine_pair_to_ex(*(seq.begin()));
- }
- return this->hold();
-}
-
-exvector add::get_indices(void) const
-{
- // FIXME: all terms in the sum should have the same indices (compatible
- // tensors) however this is not checked, since there is no function yet
- // which compares indices (idxvector can be unsorted)
- if (seq.size()==0) {
- return exvector();
- }
- return (seq.begin())->rest.get_indices();
-}
-
-ex add::simplify_ncmul(exvector const & v) const
-{
- if (seq.size()==0) {
- return expairseq::simplify_ncmul(v);
- }
- return (*seq.begin()).rest.simplify_ncmul(v);
+
+ if (flags & status_flags::evaluated) {
+ GINAC_ASSERT(seq.size()>0);
+ GINAC_ASSERT(seq.size()>1 || !overall_coeff.is_zero());
+ return *this;
+ }
+
+ int seq_size = seq.size();
+ if (seq_size == 0) {
+ // +(;c) -> c
+ return overall_coeff;
+ } else if (seq_size == 1 && overall_coeff.is_zero()) {
+ // +(x;0) -> x
+ return recombine_pair_to_ex(*(seq.begin()));
+ } else if (!overall_coeff.is_zero() && seq[0].rest.return_type() != return_types::commutative) {
+ throw (std::logic_error("add::eval(): sum of non-commutative objects has non-zero numeric term"));
+ }
+ return this->hold();
+}
+
+ex add::evalm() const
+{
+ // Evaluate children first and add up all matrices. Stop if there's one
+ // term that is not a matrix.
+ std::auto_ptr<epvector> s(new epvector);
+ s->reserve(seq.size());
+
+ bool all_matrices = true;
+ bool first_term = true;
+ matrix sum;
+
+ epvector::const_iterator it = seq.begin(), itend = seq.end();
+ while (it != itend) {
+ const ex &m = recombine_pair_to_ex(*it).evalm();
+ s->push_back(split_ex_to_pair(m));
+ if (is_a<matrix>(m)) {
+ if (first_term) {
+ sum = ex_to<matrix>(m);
+ first_term = false;
+ } else
+ sum = sum.add(ex_to<matrix>(m));
+ } else
+ all_matrices = false;
+ ++it;
+ }
+
+ if (all_matrices)
+ return sum + overall_coeff;
+ else
+ return (new add(s, overall_coeff))->setflag(status_flags::dynallocated);
+}
+
+ex add::eval_ncmul(const exvector & v) const
+{
+ if (seq.empty())
+ return inherited::eval_ncmul(v);
+ else
+ return seq.begin()->rest.eval_ncmul(v);
}
// protected
-int add::compare_same_type(basic const & other) const
+/** Implementation of ex::diff() for a sum. It differentiates each term.
+ * @see ex::diff */
+ex add::derivative(const symbol & y) const
{
- return expairseq::compare_same_type(other);
+ std::auto_ptr<epvector> s(new epvector);
+ s->reserve(seq.size());
+
+ // Only differentiate the "rest" parts of the expairs. This is faster
+ // than the default implementation in basic::derivative() although
+ // if performs the same function (differentiate each term).
+ epvector::const_iterator i = seq.begin(), end = seq.end();
+ while (i != end) {
+ s->push_back(combine_ex_with_coeff_to_pair(i->rest.diff(y), i->coeff));
+ ++i;
+ }
+ return (new add(s, _ex0))->setflag(status_flags::dynallocated);
}
-bool add::is_equal_same_type(basic const & other) const
+int add::compare_same_type(const basic & other) const
{
- return expairseq::is_equal_same_type(other);
+ return inherited::compare_same_type(other);
}
-unsigned add::return_type(void) const
+unsigned add::return_type() const
{
- if (seq.size()==0) {
- return return_types::commutative;
- }
- return (*seq.begin()).rest.return_type();
+ if (seq.empty())
+ return return_types::commutative;
+ else
+ return seq.begin()->rest.return_type();
}
-unsigned add::return_type_tinfo(void) const
+unsigned add::return_type_tinfo() const
{
- if (seq.size()==0) {
- return tinfo_key;
- }
- return (*seq.begin()).rest.return_type_tinfo();
+ if (seq.empty())
+ return tinfo_key;
+ else
+ return seq.begin()->rest.return_type_tinfo();
}
-ex add::thisexpairseq(epvector const & v, ex const & oc) const
+ex add::thisexpairseq(const epvector & v, const ex & oc) const
{
- return (new add(v,oc))->setflag(status_flags::dynallocated);
+ return (new add(v,oc))->setflag(status_flags::dynallocated);
}
-ex add::thisexpairseq(epvector * vp, ex const & oc) const
+ex add::thisexpairseq(std::auto_ptr<epvector> vp, const ex & oc) const
{
- return (new add(vp,oc))->setflag(status_flags::dynallocated);
+ return (new add(vp,oc))->setflag(status_flags::dynallocated);
}
-/*
-expair add::split_ex_to_pair(ex const & e) const
+expair add::split_ex_to_pair(const ex & e) const
{
- if (is_ex_exactly_of_type(e,mul)) {
- mul const & mulref=ex_to_mul(e);
- GINAC_ASSERT(mulref.seq.size()>1);
- ex const & lastfactor_rest=(*(mulref.seq.end()-1)).rest;
- ex const & lastfactor_coeff=(*(mulref.seq.end()-1)).coeff;
- if (is_ex_exactly_of_type(lastfactor_rest,numeric) &&
- ex_to_numeric(lastfactor_coeff).is_equal(numONE())) {
- epvector s=mulref.seq;
- //s.pop_back();
- //return expair((new mul(s,1))->setflag(status_flags::dynallocated),
- // lastfactor);
- mul * mulp=static_cast<mul *>(mulref.duplicate());
-#ifdef EXPAIRSEQ_USE_HASHTAB
- mulp->remove_hashtab_entry(mulp->seq.end()-1);
-#endif // def EXPAIRSEQ_USE_HASHTAB
- mulp->seq.pop_back();
-#ifdef EXPAIRSEQ_USE_HASHTAB
- mulp->shrink_hashtab();
-#endif // def EXPAIRSEQ_USE_HASHTAB
- mulp->clearflag(status_flags::evaluated);
- mulp->clearflag(status_flags::hash_calculated);
- return expair(mulp->setflag(status_flags::dynallocated),lastfactor_rest);
- }
- }
- return expair(e,exONE());
+ if (is_exactly_a<mul>(e)) {
+ const mul &mulref(ex_to<mul>(e));
+ const ex &numfactor = mulref.overall_coeff;
+ mul *mulcopyp = new mul(mulref);
+ mulcopyp->overall_coeff = _ex1;
+ mulcopyp->clearflag(status_flags::evaluated);
+ mulcopyp->clearflag(status_flags::hash_calculated);
+ mulcopyp->setflag(status_flags::dynallocated);
+ return expair(*mulcopyp,numfactor);
+ }
+ return expair(e,_ex1);
}
-*/
-expair add::split_ex_to_pair(ex const & e) const
+expair add::combine_ex_with_coeff_to_pair(const ex & e,
+ const ex & c) const
{
- if (is_ex_exactly_of_type(e,mul)) {
- mul const & mulref=ex_to_mul(e);
- ex numfactor=mulref.overall_coeff;
- // mul * mulcopyp=static_cast<mul *>(mulref.duplicate());
- mul * mulcopyp=new mul(mulref);
- mulcopyp->overall_coeff=exONE();
- mulcopyp->clearflag(status_flags::evaluated);
- mulcopyp->clearflag(status_flags::hash_calculated);
- return expair(mulcopyp->setflag(status_flags::dynallocated),numfactor);
- }
- return expair(e,exONE());
+ GINAC_ASSERT(is_exactly_a<numeric>(c));
+ if (is_exactly_a<mul>(e)) {
+ const mul &mulref(ex_to<mul>(e));
+ const ex &numfactor = mulref.overall_coeff;
+ mul *mulcopyp = new mul(mulref);
+ mulcopyp->overall_coeff = _ex1;
+ mulcopyp->clearflag(status_flags::evaluated);
+ mulcopyp->clearflag(status_flags::hash_calculated);
+ mulcopyp->setflag(status_flags::dynallocated);
+ if (c.is_equal(_ex1))
+ return expair(*mulcopyp, numfactor);
+ else if (numfactor.is_equal(_ex1))
+ return expair(*mulcopyp, c);
+ else
+ return expair(*mulcopyp, ex_to<numeric>(numfactor).mul_dyn(ex_to<numeric>(c)));
+ } else if (is_exactly_a<numeric>(e)) {
+ if (c.is_equal(_ex1))
+ return expair(e, _ex1);
+ return expair(ex_to<numeric>(e).mul_dyn(ex_to<numeric>(c)), _ex1);
+ }
+ return expair(e, c);
}
-/*
-expair add::combine_ex_with_coeff_to_pair(ex const & e,
- ex const & c) const
+expair add::combine_pair_with_coeff_to_pair(const expair & p,
+ const ex & c) const
{
- GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
- if (is_ex_exactly_of_type(e,mul)) {
- mul const & mulref=ex_to_mul(e);
- GINAC_ASSERT(mulref.seq.size()>1);
- ex const & lastfactor_rest=(*(mulref.seq.end()-1)).rest;
- ex const & lastfactor_coeff=(*(mulref.seq.end()-1)).coeff;
- if (is_ex_exactly_of_type(lastfactor_rest,numeric) &&
- ex_to_numeric(lastfactor_coeff).is_equal(numONE())) {
- //epvector s=mulref.seq;
- //s.pop_back();
- //return expair((new mul(s,1))->setflag(status_flags::dynallocated),
- // ex_to_numeric(lastfactor).mul_dyn(ex_to_numeric(c)));
- mul * mulp=static_cast<mul *>(mulref.duplicate());
-#ifdef EXPAIRSEQ_USE_HASHTAB
- mulp->remove_hashtab_entry(mulp->seq.end()-1);
-#endif // def EXPAIRSEQ_USE_HASHTAB
- mulp->seq.pop_back();
-#ifdef EXPAIRSEQ_USE_HASHTAB
- mulp->shrink_hashtab();
-#endif // def EXPAIRSEQ_USE_HASHTAB
- mulp->clearflag(status_flags::evaluated);
- mulp->clearflag(status_flags::hash_calculated);
- if (are_ex_trivially_equal(c,exONE())) {
- return expair(mulp->setflag(status_flags::dynallocated),lastfactor_rest);
- } else if (are_ex_trivially_equal(lastfactor_rest,exONE())) {
- return expair(mulp->setflag(status_flags::dynallocated),c);
- }
- return expair(mulp->setflag(status_flags::dynallocated),
- ex_to_numeric(lastfactor_rest).mul_dyn(ex_to_numeric(c)));
- }
- }
- return expair(e,c);
-}
-*/
+ GINAC_ASSERT(is_exactly_a<numeric>(p.coeff));
+ GINAC_ASSERT(is_exactly_a<numeric>(c));
-expair add::combine_ex_with_coeff_to_pair(ex const & e,
- ex const & c) const
-{
- GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
- if (is_ex_exactly_of_type(e,mul)) {
- mul const & mulref=ex_to_mul(e);
- ex numfactor=mulref.overall_coeff;
- //mul * mulcopyp=static_cast<mul *>(mulref.duplicate());
- mul * mulcopyp=new mul(mulref);
- mulcopyp->overall_coeff=exONE();
- mulcopyp->clearflag(status_flags::evaluated);
- mulcopyp->clearflag(status_flags::hash_calculated);
- if (are_ex_trivially_equal(c,exONE())) {
- return expair(mulcopyp->setflag(status_flags::dynallocated),numfactor);
- } else if (are_ex_trivially_equal(numfactor,exONE())) {
- return expair(mulcopyp->setflag(status_flags::dynallocated),c);
- }
- return expair(mulcopyp->setflag(status_flags::dynallocated),
- ex_to_numeric(numfactor).mul_dyn(ex_to_numeric(c)));
- } else if (is_ex_exactly_of_type(e,numeric)) {
- if (are_ex_trivially_equal(c,exONE())) {
- return expair(e,exONE());
- }
- return expair(ex_to_numeric(e).mul_dyn(ex_to_numeric(c)),exONE());
- }
- return expair(e,c);
-}
-
-expair add::combine_pair_with_coeff_to_pair(expair const & p,
- ex const & c) const
-{
- GINAC_ASSERT(is_ex_exactly_of_type(p.coeff,numeric));
- GINAC_ASSERT(is_ex_exactly_of_type(c,numeric));
+ if (is_exactly_a<numeric>(p.rest)) {
+ GINAC_ASSERT(ex_to<numeric>(p.coeff).is_equal(_num1)); // should be normalized
+ return expair(ex_to<numeric>(p.rest).mul_dyn(ex_to<numeric>(c)),_ex1);
+ }
- if (is_ex_exactly_of_type(p.rest,numeric)) {
- GINAC_ASSERT(ex_to_numeric(p.coeff).is_equal(numONE())); // should be normalized
- return expair(ex_to_numeric(p.rest).mul_dyn(ex_to_numeric(c)),exONE());
- }
-
- return expair(p.rest,ex_to_numeric(p.coeff).mul_dyn(ex_to_numeric(c)));
+ return expair(p.rest,ex_to<numeric>(p.coeff).mul_dyn(ex_to<numeric>(c)));
}
-
-ex add::recombine_pair_to_ex(expair const & p) const
+
+ex add::recombine_pair_to_ex(const expair & p) const
{
- //if (p.coeff.compare(exONE())==0) {
- //if (are_ex_trivially_equal(p.coeff,exONE())) {
- if (ex_to_numeric(p.coeff).is_equal(numONE())) {
- return p.rest;
- } else {
- return p.rest*p.coeff;
- }
+ if (ex_to<numeric>(p.coeff).is_equal(_num1))
+ return p.rest;
+ else
+ return (new mul(p.rest,p.coeff))->setflag(status_flags::dynallocated);
}
ex add::expand(unsigned options) const
{
- epvector * vp=expandchildren(options);
- if (vp==0) {
- return *this;
- }
- return (new add(vp,overall_coeff))->setflag(status_flags::expanded |
- status_flags::dynallocated );
-}
-
-//////////
-// new virtual functions which can be overridden by derived classes
-//////////
-
-// none
-
-//////////
-// non-virtual functions in this class
-//////////
+ std::auto_ptr<epvector> vp = expandchildren(options);
+ if (vp.get() == 0) {
+ // the terms have not changed, so it is safe to declare this expanded
+ return (options == 0) ? setflag(status_flags::expanded) : *this;
+ }
-// none
-
-//////////
-// static member variables
-//////////
-
-// protected
-
-unsigned add::precedence=40;
-
-//////////
-// global constants
-//////////
-
-const add some_add;
-type_info const & typeid_add=typeid(some_add);
+ return (new add(vp, overall_coeff))->setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0));
+}
} // namespace GiNaC
git://www.ginac.de / ginac.git / blobdiff