X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns_gamma.cpp;h=6bf85621d8e6f8f216edcb182b44fa4b7d2ddeb0;hp=3f3bd561bc4a54c85dd1f1a9eb912216eb6ff782;hb=c94cbc55628a5ccf536dfc63c5512d626ae647b6;hpb=dbd9c306a74f1cb258c0d15a346b973b39deaad2 diff --git a/ginac/inifcns_gamma.cpp b/ginac/inifcns_gamma.cpp index 3f3bd561..6bf85621 100644 --- a/ginac/inifcns_gamma.cpp +++ b/ginac/inifcns_gamma.cpp @@ -30,6 +30,7 @@ #include "numeric.h" #include "power.h" #include "relational.h" +#include "operators.h" #include "symbol.h" #include "symmetry.h" #include "utils.h" @@ -97,7 +98,7 @@ static ex lgamma_series(const ex & arg, // from which follows // series(lgamma(x),x==-m,order) == // series(lgamma(x+m+1)-log(x)...-log(x+m)),x==-m,order); - const ex arg_pt = arg.subs(rel); + const ex arg_pt = arg.subs(rel, subs_options::no_pattern); if (!arg_pt.info(info_flags::integer) || arg_pt.info(info_flags::positive)) throw do_taylor(); // caught by function::series() // if we got here we have to care for a simple pole of tgamma(-m): @@ -193,7 +194,7 @@ static ex tgamma_series(const ex & arg, // from which follows // series(tgamma(x),x==-m,order) == // series(tgamma(x+m+1)/(x*(x+1)*...*(x+m)),x==-m,order+1); - const ex arg_pt = arg.subs(rel); + const ex arg_pt = arg.subs(rel, subs_options::no_pattern); if (!arg_pt.info(info_flags::integer) || arg_pt.info(info_flags::positive)) throw do_taylor(); // caught by function::series() // if we got here we have to care for a simple pole at -m: @@ -230,6 +231,10 @@ static ex beta_evalf(const ex & x, const ex & y) static ex beta_eval(const ex & x, const ex & y) { + if (x.is_equal(_ex1)) + return 1/y; + if (y.is_equal(_ex1)) + return 1/x; if (x.info(info_flags::numeric) && y.info(info_flags::numeric)) { // treat all problematic x and y that may not be passed into tgamma, // because they would throw there although beta(x,y) is well-defined @@ -289,8 +294,8 @@ static ex beta_series(const ex & arg1, // Taylor series where there is no pole of one of the tgamma functions // falls back to beta function evaluation. Otherwise, fall back to // tgamma series directly. - const ex arg1_pt = arg1.subs(rel); - const ex arg2_pt = arg2.subs(rel); + const ex arg1_pt = arg1.subs(rel, subs_options::no_pattern); + const ex arg2_pt = arg2.subs(rel, subs_options::no_pattern); GINAC_ASSERT(is_a(rel.lhs())); const symbol &s = ex_to(rel.lhs()); ex arg1_ser, arg2_ser, arg1arg2_ser; @@ -406,7 +411,7 @@ static ex psi1_series(const ex & arg, // from which follows // series(psi(x),x==-m,order) == // series(psi(x+m+1) - 1/x - 1/(x+1) - 1/(x+m)),x==-m,order); - const ex arg_pt = arg.subs(rel); + const ex arg_pt = arg.subs(rel, subs_options::no_pattern); if (!arg_pt.info(info_flags::integer) || arg_pt.info(info_flags::positive)) throw do_taylor(); // caught by function::series() // if we got here we have to care for a simple pole at -m: @@ -417,7 +422,7 @@ static ex psi1_series(const ex & arg, return (psi(arg+m+_ex1)-recur).series(rel, order, options); } -const unsigned function_index_psi1 = +unsigned psi1_SERIAL::serial = function::register_new(function_options("psi"). eval_func(psi1_eval). evalf_func(psi1_evalf). @@ -533,7 +538,7 @@ static ex psi2_series(const ex & n, // series(psi(x),x==-m,order) == // series(psi(x+m+1) - (-1)^n * n! * ((x)^(-n-1) + (x+1)^(-n-1) + ... // ... + (x+m)^(-n-1))),x==-m,order); - const ex arg_pt = arg.subs(rel); + const ex arg_pt = arg.subs(rel, subs_options::no_pattern); if (!arg_pt.info(info_flags::integer) || arg_pt.info(info_flags::positive)) throw do_taylor(); // caught by function::series() // if we got here we have to care for a pole of order n+1 at -m: @@ -545,7 +550,7 @@ static ex psi2_series(const ex & n, return (psi(n, arg+m+_ex1)-recur).series(rel, order, options); } -const unsigned function_index_psi2 = +unsigned psi2_SERIAL::serial = function::register_new(function_options("psi"). eval_func(psi2_eval). evalf_func(psi2_evalf).