X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Fpseries.cpp;h=3188dd2297790c801c9e3c1b219300353919e92b;hb=55fcb39a1209898ec43694f7e25ffb4572b0c4d1;hp=ec8e8c652560bb60eceadc99dbf44b3e1aedd4f5;hpb=701f2c9acbf58e84d2c8619f00d8b7718fb1eafd;p=ginac.git diff --git a/ginac/pseries.cpp b/ginac/pseries.cpp index ec8e8c65..3188dd22 100644 --- a/ginac/pseries.cpp +++ b/ginac/pseries.cpp @@ -4,7 +4,7 @@ * methods for series expansion. */ /* - * GiNaC Copyright (C) 1999-2007 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2008 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 @@ -892,10 +892,13 @@ ex mul::series(const relational & r, int order, unsigned options) const // holds ldegrees of the series of individual factors std::vector ldegrees; + std::vector ldegree_redo; // find minimal degrees const epvector::const_iterator itbeg = seq.begin(); const epvector::const_iterator itend = seq.end(); + // first round: obtain a bound up to which minimal degrees have to be + // considered for (epvector::const_iterator it=itbeg; it!=itend; ++it) { ex expon = it->coeff; @@ -909,19 +912,61 @@ ex mul::series(const relational & r, int order, unsigned options) const } int real_ldegree = 0; + bool flag_redo = false; try { real_ldegree = buf.expand().ldegree(sym-r.rhs()); } catch (std::runtime_error) {} if (real_ldegree == 0) { + if ( factor < 0 ) { + // This case must terminate, otherwise we would have division by + // zero. + int orderloop = 0; + do { + orderloop++; + real_ldegree = buf.series(r, orderloop, options).ldegree(sym); + } while (real_ldegree == orderloop); + } else { + // Here it is possible that buf does not have a ldegree, therefore + // check only if ldegree is negative, otherwise reconsider the case + // in the second round. + real_ldegree = buf.series(r, 0, options).ldegree(sym); + if (real_ldegree == 0) + flag_redo = true; + } + } + + ldegrees.push_back(factor * real_ldegree); + ldegree_redo.push_back(flag_redo); + } + + int degbound = order-std::accumulate(ldegrees.begin(), ldegrees.end(), 0); + // Second round: determine the remaining positive ldegrees by the series + // method. + // here we can ignore ldegrees larger than degbound + size_t j = 0; + for (epvector::const_iterator it=itbeg; it!=itend; ++it) { + if ( ldegree_redo[j] ) { + ex expon = it->coeff; + int factor = 1; + ex buf; + if (expon.info(info_flags::integer)) { + buf = it->rest; + factor = ex_to(expon).to_int(); + } else { + buf = recombine_pair_to_ex(*it); + } + int real_ldegree = 0; int orderloop = 0; do { orderloop++; real_ldegree = buf.series(r, orderloop, options).ldegree(sym); - } while (real_ldegree == orderloop); + } while ((real_ldegree == orderloop) + && ( factor*real_ldegree < degbound)); + ldegrees[j] = factor * real_ldegree; + degbound -= factor * real_ldegree; } - - ldegrees.push_back(factor * real_ldegree); + j++; } int degsum = std::accumulate(ldegrees.begin(), ldegrees.end(), 0); @@ -1235,11 +1280,7 @@ ex ex::series(const ex & r, int order, unsigned options) const else throw (std::logic_error("ex::series(): expansion point has unknown type")); - try { - e = bp->series(rel_, order, options); - } catch (std::exception &x) { - throw (std::logic_error(std::string("unable to compute series (") + x.what() + ")")); - } + e = bp->series(rel_, order, options); return e; }