X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fadd.cpp;h=cfcae9bc14640638a88531e149141a6ceec6aeb2;hp=c3f5619119822e1a57a64f89bc247f2a27c5adc1;hb=8a1bf7ee2429cc42bfb684b8258fadfad113581e;hpb=b0265215a51a081d20fe68475e080716afc2d45a diff --git a/ginac/add.cpp b/ginac/add.cpp index c3f56191..cfcae9bc 100644 --- a/ginac/add.cpp +++ b/ginac/add.cpp @@ -3,7 +3,7 @@ * Implementation of GiNaC's sums of expressions. */ /* - * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2001 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 @@ -25,57 +25,26 @@ #include "add.h" #include "mul.h" +#include "archive.h" #include "debugmsg.h" +#include "utils.h" -#ifndef NO_GINAC_NAMESPACE namespace GiNaC { -#endif // ndef NO_GINAC_NAMESPACE + +GINAC_IMPLEMENT_REGISTERED_CLASS(add, expairseq) ////////// // default constructor, destructor, copy constructor assignment operator and helpers ////////// -// 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; + debugmsg("add default constructor",LOGLEVEL_CONSTRUCT); + tinfo_key = TINFO_add; } -// protected - -void add::copy(add const & other) -{ - expairseq::copy(other); -} - -void add::destroy(bool call_parent) -{ - if (call_parent) expairseq::destroy(call_parent); -} +DEFAULT_COPY(add) +DEFAULT_DESTROY(add) ////////// // other constructors @@ -83,69 +52,58 @@ void add::destroy(bool call_parent) // 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()); + debugmsg("add constructor from ex,ex",LOGLEVEL_CONSTRUCT); + 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()); + debugmsg("add constructor from exvector",LOGLEVEL_CONSTRUCT); + 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()); + debugmsg("add constructor from epvector",LOGLEVEL_CONSTRUCT); + 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()); + debugmsg("add constructor from epvector,ex",LOGLEVEL_CONSTRUCT); + 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(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()); + 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()); } -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 @@ -153,274 +111,357 @@ add::add(epvector * vp, ex const & oc) // public -basic * add::duplicate() const +void add::print(const print_context & c, unsigned level) const { - debugmsg("add duplicate",LOGLEVEL_DUPLICATE); - return new add(*this); + debugmsg("add print", LOGLEVEL_PRINT); + + if (is_of_type(c, print_tree)) { + + inherited::print(c, level); + + } else if (is_of_type(c, print_csrc)) { + + 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.compare(_num1()) == 0) { + it->rest.bp->print(c, precedence); + } else if (it->coeff.compare(_num_1()) == 0) { + c.s << "-"; + it->rest.bp->print(c, precedence); + } else if (ex_to_numeric(it->coeff).numer().compare(_num1()) == 0) { + it->rest.bp->print(c, precedence); + c.s << "/"; + ex_to_numeric(it->coeff).denom().print(c, precedence); + } else if (ex_to_numeric(it->coeff).numer().compare(_num_1()) == 0) { + c.s << "-"; + it->rest.bp->print(c, precedence); + c.s << "/"; + ex_to_numeric(it->coeff).denom().print(c, precedence); + } else { + it->coeff.bp->print(c, precedence); + c.s << "*"; + it->rest.bp->print(c, precedence); + } + + // Separator is "+", except if the following expression would have a leading minus sign + it++; + if (it != itend && !(it->coeff.compare(_num0()) < 0 || (it->coeff.compare(_num1()) == 0 && is_ex_exactly_of_type(it->rest, numeric) && it->rest.compare(_num0()) < 0))) + c.s << "+"; + } + + if (!overall_coeff.is_zero()) { + if (overall_coeff.info(info_flags::positive)) + c.s << '+'; + overall_coeff.bp->print(c, precedence); + } + + if (precedence <= level) + c.s << ")"; + + } else { + + if (precedence <= level) + c.s << "("; + + numeric coeff; + bool first = true; + + // First print the overall numeric coefficient, if present + if (!overall_coeff.is_zero()) { + overall_coeff.print(c, precedence); + 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 << '*'; + } + it->rest.print(c, precedence); + it++; + } + + if (precedence <= level) + 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); - } + 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: { + for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) { + if (!(recombine_pair_to_ex(*i).info(inf))) + return false; + } + return overall_coeff.info(inf); + } + case info_flags::algebraic: { + for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) { + if ((recombine_pair_to_ex(*i).info(inf))) + return true; + } + return false; + } + } + return inherited::info(inf); } -int add::degree(symbol const & s) const +int add::degree(const ex & 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 deg = INT_MIN; + if (!overall_coeff.is_equal(_ex0())) + 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 add::ldegree(const ex & 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_degsetflag(status_flags::dynallocated); - } - return (new add(coeffseq))->setflag(status_flags::dynallocated); + 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: +(;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); - } - + // 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); + } + #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)); - } + 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)); + } #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(); + + 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_equal(_ex0())) { + // +(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 +ex add::simplify_ncmul(const exvector & v) const { - if (seq.size()==0) { - return expairseq::simplify_ncmul(v); - } - return (*seq.begin()).rest.simplify_ncmul(v); + if (seq.size()==0) { + return inherited::simplify_ncmul(v); + } + return (*seq.begin()).rest.simplify_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 & s) const +{ + // D(a+b+c)=D(a)+D(b)+D(c) + return (new add(diffchildren(s)))->setflag(status_flags::dynallocated); +} + +int add::compare_same_type(const basic & other) const { - return expairseq::compare_same_type(other); + return inherited::compare_same_type(other); } -bool add::is_equal_same_type(basic const & other) const +bool add::is_equal_same_type(const basic & other) const { - return expairseq::is_equal_same_type(other); + return inherited::is_equal_same_type(other); } unsigned add::return_type(void) const { - if (seq.size()==0) { - return return_types::commutative; - } - return (*seq.begin()).rest.return_type(); + if (seq.size()==0) { + return return_types::commutative; + } + return (*seq.begin()).rest.return_type(); } unsigned add::return_type_tinfo(void) const { - if (seq.size()==0) { - return tinfo_key; - } - return (*seq.begin()).rest.return_type_tinfo(); + if (seq.size()==0) { + return tinfo_key; + } + 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(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); - ex numfactor=mulref.overall_coeff; - // mul * mulcopyp=static_cast(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()); + if (is_ex_exactly_of_type(e,mul)) { + const mul &mulref = ex_to_mul(e); + 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::combine_ex_with_coeff_to_pair(ex const & e, - ex const & c) const +expair add::combine_ex_with_coeff_to_pair(const ex & e, + 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); - ex numfactor=mulref.overall_coeff; - //mul * mulcopyp=static_cast(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); + GINAC_ASSERT(is_ex_exactly_of_type(c, numeric)); + if (is_ex_exactly_of_type(e, mul)) { + const mul &mulref = ex_to_mul(e); + 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 (are_ex_trivially_equal(c, _ex1())) + return expair(*mulcopyp, numfactor); + else if (are_ex_trivially_equal(numfactor, _ex1())) + return expair(*mulcopyp, c); + else + return expair(*mulcopyp, 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, _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_pair_with_coeff_to_pair(expair const & p, - 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(p.coeff,numeric)); - GINAC_ASSERT(is_ex_exactly_of_type(c,numeric)); + GINAC_ASSERT(is_ex_exactly_of_type(p.coeff,numeric)); + GINAC_ASSERT(is_ex_exactly_of_type(c,numeric)); - 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()); - } + if (is_ex_exactly_of_type(p.rest,numeric)) { + 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()); + } - 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 p.rest*p.coeff; } 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 ); + if (flags & status_flags::expanded) + return *this; + + epvector * vp = expandchildren(options); + if (vp==0) { + // the terms have not changed, so it is safe to declare this expanded + setflag(status_flags::expanded); + 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 -////////// - -// none - ////////// // static member variables ////////// // protected -unsigned add::precedence=40; - -////////// -// global constants -////////// - -const add some_add; -type_info const & typeid_add=typeid(some_add); +unsigned add::precedence = 40; -#ifndef NO_GINAC_NAMESPACE } // namespace GiNaC -#endif // ndef NO_GINAC_NAMESPACE