X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns_trans.cpp;h=d7fa377e269395d6b6b2c0af0591f44242c1a363;hp=56d909c6a2a40c7b48276cb98644a8da148a9b74;hb=faf8c206bdcd01eee758103d56b83a634f787e7a;hpb=98433210d31a34b55c8283eb7fb7767d6c830e14 diff --git a/ginac/inifcns_trans.cpp b/ginac/inifcns_trans.cpp index 56d909c6..d7fa377e 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) 1999-2015 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 @@ -175,11 +175,6 @@ static ex log_eval(const ex & x) return t; } - // log(p^a) -> a*log(p), if p>0 and a is real - if (is_exactly_a(x) && x.op(0).info(info_flags::positive) && x.op(1).info(info_flags::real)) { - return x.op(1)*log(x.op(0)); - } - return log(x).hold(); } @@ -209,6 +204,10 @@ static ex log_series(const ex &arg, 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 @@ -248,20 +247,18 @@ static ex log_series(const ex &arg, 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, std::move(epv)).add_series(argser); 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)) { @@ -272,10 +269,9 @@ static ex log_series(const ex &arg, const ex &point = rel.rhs(); 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)); - seq.push_back(expair(Order(_ex1), order)); - return series(replarg - I*Pi + pseries(rel, seq), rel, order); + epvector seq { expair(-I*csgn(arg*I)*Pi, _ex0), + expair(Order(_ex1), order) }; + return series(replarg - I*Pi + pseries(rel, std::move(seq)), rel, order); } throw do_taylor(); // caught by function::series() } @@ -936,10 +932,9 @@ static ex atan_series(const ex &arg, Order0correction += log((I*arg_pt+_ex_1)/(I*arg_pt+_ex1))*I*_ex_1_2; else Order0correction += log((I*arg_pt+_ex1)/(I*arg_pt+_ex_1))*I*_ex1_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 { expair(Order0correction, _ex0), + expair(Order(_ex1), order) }; + return series(replarg - pseries(rel, std::move(seq)), rel, order); } throw do_taylor(); } @@ -1531,22 +1526,21 @@ 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 { expair(Order0correction, _ex0), + expair(Order(_ex1), order) }; + return series(replarg - pseries(rel, std::move(seq)), rel, order); } throw do_taylor(); }