X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fncmul.cpp;h=c4cfe69cb2a93fd3b8afe03f2e571c9a1ba0e34e;hp=7874509e6abecf7f5a03bd4fbe63ef500ffb5328;hb=b6e3c62f240698c7e9ed464c57bb6d92741765ba;hpb=ed21ddd5e2bc0af018c10934342f526d0ae4b7a7 diff --git a/ginac/ncmul.cpp b/ginac/ncmul.cpp index 7874509e..c4cfe69c 100644 --- a/ginac/ncmul.cpp +++ b/ginac/ncmul.cpp @@ -147,69 +147,69 @@ typedef std::vector intvector; ex ncmul::expand(unsigned options) const { - exvector sub_expanded_seq; - intvector positions_of_adds; - intvector number_of_add_operands; - - exvector expanded_seq=expandchildren(options); - - positions_of_adds.resize(expanded_seq.size()); - number_of_add_operands.resize(expanded_seq.size()); - - int number_of_adds=0; - int number_of_expanded_terms=1; - - unsigned current_position=0; - exvector::const_iterator last=expanded_seq.end(); + // First, expand the children + exvector expanded_seq = expandchildren(options); + + // Now, look for all the factors that are sums and remember their + // position and number of terms. One remark is in order here: we do not + // take into account the overall_coeff of the add objects. This is + // because in GiNaC, all terms of a sum must be of the same type, so + // a non-zero overall_coeff (which can only be numeric) would imply that + // the sum only has commutative terms. But then it would never appear + // as a factor of an ncmul. + intvector positions_of_adds(expanded_seq.size()); + intvector number_of_add_operands(expanded_seq.size()); + + int number_of_adds = 0; + int number_of_expanded_terms = 1; + + unsigned current_position = 0; + exvector::const_iterator last = expanded_seq.end(); for (exvector::const_iterator cit=expanded_seq.begin(); cit!=last; ++cit) { - if (is_ex_exactly_of_type((*cit),add)) { - positions_of_adds[number_of_adds]=current_position; - const add & expanded_addref=ex_to(*cit); - number_of_add_operands[number_of_adds]=expanded_addref.seq.size(); + if (is_ex_exactly_of_type(*cit, add)) { + positions_of_adds[number_of_adds] = current_position; + const add & expanded_addref = ex_to(*cit); + number_of_add_operands[number_of_adds] = expanded_addref.seq.size(); number_of_expanded_terms *= expanded_addref.seq.size(); number_of_adds++; } current_position++; } - if (number_of_adds==0) { - return (new ncmul(expanded_seq,1))->setflag(status_flags::dynallocated || - status_flags::expanded); - } + // If there are no sums, we are done + if (number_of_adds == 0) + return (new ncmul(expanded_seq, true))-> + setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0)); + // Now, form all possible products of the terms of the sums with the + // remaining factors, and add them together exvector distrseq; distrseq.reserve(number_of_expanded_terms); - intvector k; - k.resize(number_of_adds); - - int l; - for (l=0; l(expanded_seq[positions_of_adds[l]]); - term[positions_of_adds[l]]=addref.recombine_pair_to_ex(addref.seq[k[l]]); + while (true) { + exvector term = expanded_seq; + for (int i=0; i(expanded_seq[positions_of_adds[i]]); + term[positions_of_adds[i]] = addref.recombine_pair_to_ex(addref.seq[k[i]]); } - distrseq.push_back((new ncmul(term,1))->setflag(status_flags::dynallocated | - status_flags::expanded)); + distrseq.push_back((new ncmul(term, true))-> + setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0))); // increment k[] - l=number_of_adds-1; - while ((l>=0)&&((++k[l])>=number_of_add_operands[l])) { - k[l]=0; + int l = number_of_adds-1; + while ((l>=0) && ((++k[l]) >= number_of_add_operands[l])) { + k[l] = 0; l--; } - if (l<0) break; + if (l<0) + break; } - return (new add(distrseq))->setflag(status_flags::dynallocated | - status_flags::expanded); + return (new add(distrseq))-> + setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0)); } int ncmul::degree(const ex & s) const