X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Finifcns_trans.cpp;h=49e30047f9f78485e84ff4d3650dfd737bc59ef9;hb=7550e991907e1bd8dad50bfdb5af2ff2f312af8f;hp=c5551f75a2e77e4c247914d4cd531df458b7b1c9;hpb=bee5f67dae5b409bc53ff71cb98f6630832540e7;p=ginac.git diff --git a/ginac/inifcns_trans.cpp b/ginac/inifcns_trans.cpp index c5551f75..49e30047 100644 --- a/ginac/inifcns_trans.cpp +++ b/ginac/inifcns_trans.cpp @@ -4,7 +4,7 @@ * functions. */ /* - * GiNaC Copyright (C) 1999-2011 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2020 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 @@ -98,7 +98,7 @@ static ex exp_expand(const ex & arg, unsigned options) for (const_iterator i = exp_arg.begin(); i != exp_arg.end(); ++i) prodseq.push_back(exp(*i)); - return (new mul(prodseq))->setflag(status_flags::dynallocated | status_flags::expanded); + return dynallocate(prodseq).setflag(status_flags::expanded); } return exp(exp_arg).hold(); @@ -197,13 +197,17 @@ static ex log_series(const ex &arg, // maybe substitution of rel into arg fails because of a pole try { arg_pt = arg.subs(rel, subs_options::no_pattern); - } catch (pole_error) { + } catch (pole_error &) { must_expand_arg = true; } // or we are at the branch point anyways if (arg_pt.is_zero()) must_expand_arg = true; + if (arg.diff(ex_to(rel.lhs())).is_zero()) { + throw do_taylor(); + } + if (must_expand_arg) { // method: // This is the branch point: Series expand the argument first, then @@ -238,25 +242,19 @@ static ex log_series(const ex &arg, // in this case n more (or less) terms are needed // (sadly, to generate them, we have to start from the beginning) if (n == 0 && coeff == 1) { - epvector epv; - ex acc = (new pseries(rel, epv))->setflag(status_flags::dynallocated); - epv.reserve(2); - epv.push_back(expair(-1, _ex0)); - epv.push_back(expair(Order(_ex1), order)); - ex rest = pseries(rel, epv).add_series(argser); + ex rest = pseries(rel, epvector{expair(-1, _ex0), expair(Order(_ex1), order)}).add_series(argser); + ex acc = dynallocate(rel, epvector()); for (int i = order-1; i>0; --i) { - epvector cterm; - cterm.reserve(1); - cterm.push_back(expair(i%2 ? _ex1/i : _ex_1/i, _ex0)); - acc = pseries(rel, cterm).add_series(ex_to(acc)); + epvector cterm { expair(i%2 ? _ex1/i : _ex_1/i, _ex0) }; + acc = pseries(rel, std::move(cterm)).add_series(ex_to(acc)); acc = (ex_to(rest)).mul_series(ex_to(acc)); } return acc; } const ex newarg = ex_to((arg/coeff).series(rel, order+n, options)).shift_exponents(-n).convert_to_poly(true); - return pseries(rel, seq).add_series(ex_to(log(newarg).series(rel, order, options))); + return pseries(rel, std::move(seq)).add_series(ex_to(log(newarg).series(rel, order, options))); } else // it was a monomial - return pseries(rel, seq); + return pseries(rel, std::move(seq)); } if (!(options & series_options::suppress_branchcut) && arg_pt.info(info_flags::negative)) { @@ -268,9 +266,12 @@ static ex log_series(const ex &arg, const symbol foo; const ex replarg = series(log(arg), s==foo, order).subs(foo==point, subs_options::no_pattern); epvector seq; - seq.push_back(expair(-I*csgn(arg*I)*Pi, _ex0)); + if (order > 0) { + seq.reserve(2); + seq.push_back(expair(-I*csgn(arg*I)*Pi, _ex0)); + } seq.push_back(expair(Order(_ex1), order)); - return series(replarg - I*Pi + pseries(rel, seq), rel, order); + return series(replarg - I*Pi + pseries(rel, std::move(seq)), rel, order); } throw do_taylor(); // caught by function::series() } @@ -932,9 +933,12 @@ static ex atan_series(const ex &arg, else Order0correction += log((I*arg_pt+_ex1)/(I*arg_pt+_ex_1))*I*_ex1_2; epvector seq; - seq.push_back(expair(Order0correction, _ex0)); + if (order > 0) { + seq.reserve(2); + seq.push_back(expair(Order0correction, _ex0)); + } seq.push_back(expair(Order(_ex1), order)); - return series(replarg - pseries(rel, seq), rel, order); + return series(replarg - pseries(rel, std::move(seq)), rel, order); } throw do_taylor(); } @@ -1526,22 +1530,25 @@ static ex atanh_series(const ex &arg, return ((log(_ex1+arg)-log(_ex1-arg))*_ex1_2).series(rel, order, options); // ...and the branch cuts (the discontinuity at the cut being just I*Pi) if (!(options & series_options::suppress_branchcut)) { - // method: - // This is the branch cut: assemble the primitive series manually and - // then add the corresponding complex step function. - const symbol &s = ex_to(rel.lhs()); - const ex &point = rel.rhs(); - const symbol foo; - const ex replarg = series(atanh(arg), s==foo, order).subs(foo==point, subs_options::no_pattern); + // method: + // This is the branch cut: assemble the primitive series manually and + // then add the corresponding complex step function. + const symbol &s = ex_to(rel.lhs()); + const ex &point = rel.rhs(); + const symbol foo; + const ex replarg = series(atanh(arg), s==foo, order).subs(foo==point, subs_options::no_pattern); ex Order0correction = replarg.op(0)+csgn(I*arg)*Pi*I*_ex1_2; if (arg_pt<_ex0) Order0correction += log((arg_pt+_ex_1)/(arg_pt+_ex1))*_ex1_2; else Order0correction += log((arg_pt+_ex1)/(arg_pt+_ex_1))*_ex_1_2; - epvector seq; - seq.push_back(expair(Order0correction, _ex0)); - seq.push_back(expair(Order(_ex1), order)); - return series(replarg - pseries(rel, seq), rel, order); + epvector seq; + if (order > 0) { + seq.reserve(2); + seq.push_back(expair(Order0correction, _ex0)); + } + seq.push_back(expair(Order(_ex1), order)); + return series(replarg - pseries(rel, std::move(seq)), rel, order); } throw do_taylor(); }