X-Git-Url: https://ginac.de/ginac.git//ginac.git?a=blobdiff_plain;f=ginac%2Finifcns_trans.cpp;h=12c0d20c25b36867e212e056f923680d8c216173;hb=c7f03540d5eb09c5dbe013924abe21ea470948f6;hp=872308b93f54e234a99ebf493a4416b4d6b7f1a8;hpb=4405b29465293f3b6ab37745ff601f519b0256e2;p=ginac.git diff --git a/ginac/inifcns_trans.cpp b/ginac/inifcns_trans.cpp index 872308b9..12c0d20c 100644 --- a/ginac/inifcns_trans.cpp +++ b/ginac/inifcns_trans.cpp @@ -4,7 +4,7 @@ * functions. */ /* - * GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2005 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 @@ -18,7 +18,7 @@ * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software - * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ #include @@ -59,14 +59,14 @@ static ex exp_eval(const ex & x) // exp(n*Pi*I/2) -> {+1|+I|-1|-I} const ex TwoExOverPiI=(_ex2*x)/(Pi*I); if (TwoExOverPiI.info(info_flags::integer)) { - const numeric z = mod(ex_to(TwoExOverPiI),_num4); - if (z.is_equal(_num0)) + const numeric z = mod(ex_to(TwoExOverPiI),*_num4_p); + if (z.is_equal(*_num0_p)) return _ex1; - if (z.is_equal(_num1)) + if (z.is_equal(*_num1_p)) return ex(I); - if (z.is_equal(_num2)) + if (z.is_equal(*_num2_p)) return _ex_1; - if (z.is_equal(_num3)) + if (z.is_equal(*_num3_p)) return ex(-I); } @@ -111,14 +111,14 @@ static ex log_eval(const ex & x) if (x.info(info_flags::numeric)) { if (x.is_zero()) // log(0) -> infinity throw(pole_error("log_eval(): log(0)",0)); - if (x.info(info_flags::real) && x.info(info_flags::negative)) + if (x.info(info_flags::rational) && x.info(info_flags::negative)) return (log(-x)+I*Pi); if (x.is_equal(_ex1)) // log(1) -> 0 return _ex0; if (x.is_equal(I)) // log(I) -> Pi*I/2 - return (Pi*I*_num1_2); + return (Pi*I*_ex1_2); if (x.is_equal(-I)) // log(-I) -> -Pi*I/2 - return (Pi*I*_num_1_2); + return (Pi*I*_ex_1_2); // log(float) -> float if (!x.info(info_flags::crational)) @@ -200,7 +200,6 @@ static ex log_series(const ex &arg, if (!argser.is_terminating() || argser.nops()!=1) { // in this case n more (or less) terms are needed // (sadly, to generate them, we have to start from the beginning) - const ex newarg = ex_to((arg/coeff).series(rel, order+n, options)).shift_exponents(-n).convert_to_poly(true); if (n == 0 && coeff == 1) { epvector epv; ex acc = (new pseries(rel, epv))->setflag(status_flags::dynallocated); @@ -217,6 +216,7 @@ static ex log_series(const ex &arg, } 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))); } else // it was a monomial return pseries(rel, seq); @@ -262,33 +262,33 @@ static ex sin_eval(const ex & x) const ex SixtyExOverPi = _ex60*x/Pi; ex sign = _ex1; if (SixtyExOverPi.info(info_flags::integer)) { - numeric z = mod(ex_to(SixtyExOverPi),_num120); - if (z>=_num60) { + numeric z = mod(ex_to(SixtyExOverPi),*_num120_p); + if (z>=*_num60_p) { // wrap to interval [0, Pi) - z -= _num60; + z -= *_num60_p; sign = _ex_1; } - if (z>_num30) { + if (z>*_num30_p) { // wrap to interval [0, Pi/2) - z = _num60-z; + z = *_num60_p-z; } - if (z.is_equal(_num0)) // sin(0) -> 0 + if (z.is_equal(*_num0_p)) // sin(0) -> 0 return _ex0; - if (z.is_equal(_num5)) // sin(Pi/12) -> sqrt(6)/4*(1-sqrt(3)/3) + if (z.is_equal(*_num5_p)) // sin(Pi/12) -> sqrt(6)/4*(1-sqrt(3)/3) return sign*_ex1_4*sqrt(_ex6)*(_ex1+_ex_1_3*sqrt(_ex3)); - if (z.is_equal(_num6)) // sin(Pi/10) -> sqrt(5)/4-1/4 + if (z.is_equal(*_num6_p)) // sin(Pi/10) -> sqrt(5)/4-1/4 return sign*(_ex1_4*sqrt(_ex5)+_ex_1_4); - if (z.is_equal(_num10)) // sin(Pi/6) -> 1/2 + if (z.is_equal(*_num10_p)) // sin(Pi/6) -> 1/2 return sign*_ex1_2; - if (z.is_equal(_num15)) // sin(Pi/4) -> sqrt(2)/2 + if (z.is_equal(*_num15_p)) // sin(Pi/4) -> sqrt(2)/2 return sign*_ex1_2*sqrt(_ex2); - if (z.is_equal(_num18)) // sin(3/10*Pi) -> sqrt(5)/4+1/4 + if (z.is_equal(*_num18_p)) // sin(3/10*Pi) -> sqrt(5)/4+1/4 return sign*(_ex1_4*sqrt(_ex5)+_ex1_4); - if (z.is_equal(_num20)) // sin(Pi/3) -> sqrt(3)/2 + if (z.is_equal(*_num20_p)) // sin(Pi/3) -> sqrt(3)/2 return sign*_ex1_2*sqrt(_ex3); - if (z.is_equal(_num25)) // sin(5/12*Pi) -> sqrt(6)/4*(1+sqrt(3)/3) + if (z.is_equal(*_num25_p)) // sin(5/12*Pi) -> sqrt(6)/4*(1+sqrt(3)/3) return sign*_ex1_4*sqrt(_ex6)*(_ex1+_ex1_3*sqrt(_ex3)); - if (z.is_equal(_num30)) // sin(Pi/2) -> 1 + if (z.is_equal(*_num30_p)) // sin(Pi/2) -> 1 return sign; } @@ -350,33 +350,33 @@ static ex cos_eval(const ex & x) const ex SixtyExOverPi = _ex60*x/Pi; ex sign = _ex1; if (SixtyExOverPi.info(info_flags::integer)) { - numeric z = mod(ex_to(SixtyExOverPi),_num120); - if (z>=_num60) { + numeric z = mod(ex_to(SixtyExOverPi),*_num120_p); + if (z>=*_num60_p) { // wrap to interval [0, Pi) - z = _num120-z; + z = *_num120_p-z; } - if (z>=_num30) { + if (z>=*_num30_p) { // wrap to interval [0, Pi/2) - z = _num60-z; + z = *_num60_p-z; sign = _ex_1; } - if (z.is_equal(_num0)) // cos(0) -> 1 + if (z.is_equal(*_num0_p)) // cos(0) -> 1 return sign; - if (z.is_equal(_num5)) // cos(Pi/12) -> sqrt(6)/4*(1+sqrt(3)/3) + if (z.is_equal(*_num5_p)) // cos(Pi/12) -> sqrt(6)/4*(1+sqrt(3)/3) return sign*_ex1_4*sqrt(_ex6)*(_ex1+_ex1_3*sqrt(_ex3)); - if (z.is_equal(_num10)) // cos(Pi/6) -> sqrt(3)/2 + if (z.is_equal(*_num10_p)) // cos(Pi/6) -> sqrt(3)/2 return sign*_ex1_2*sqrt(_ex3); - if (z.is_equal(_num12)) // cos(Pi/5) -> sqrt(5)/4+1/4 + if (z.is_equal(*_num12_p)) // cos(Pi/5) -> sqrt(5)/4+1/4 return sign*(_ex1_4*sqrt(_ex5)+_ex1_4); - if (z.is_equal(_num15)) // cos(Pi/4) -> sqrt(2)/2 + if (z.is_equal(*_num15_p)) // cos(Pi/4) -> sqrt(2)/2 return sign*_ex1_2*sqrt(_ex2); - if (z.is_equal(_num20)) // cos(Pi/3) -> 1/2 + if (z.is_equal(*_num20_p)) // cos(Pi/3) -> 1/2 return sign*_ex1_2; - if (z.is_equal(_num24)) // cos(2/5*Pi) -> sqrt(5)/4-1/4x + if (z.is_equal(*_num24_p)) // cos(2/5*Pi) -> sqrt(5)/4-1/4x return sign*(_ex1_4*sqrt(_ex5)+_ex_1_4); - if (z.is_equal(_num25)) // cos(5/12*Pi) -> sqrt(6)/4*(1-sqrt(3)/3) + if (z.is_equal(*_num25_p)) // cos(5/12*Pi) -> sqrt(6)/4*(1-sqrt(3)/3) return sign*_ex1_4*sqrt(_ex6)*(_ex1+_ex_1_3*sqrt(_ex3)); - if (z.is_equal(_num30)) // cos(Pi/2) -> 0 + if (z.is_equal(*_num30_p)) // cos(Pi/2) -> 0 return _ex0; } @@ -438,29 +438,29 @@ static ex tan_eval(const ex & x) const ex SixtyExOverPi = _ex60*x/Pi; ex sign = _ex1; if (SixtyExOverPi.info(info_flags::integer)) { - numeric z = mod(ex_to(SixtyExOverPi),_num60); - if (z>=_num60) { + numeric z = mod(ex_to(SixtyExOverPi),*_num60_p); + if (z>=*_num60_p) { // wrap to interval [0, Pi) - z -= _num60; + z -= *_num60_p; } - if (z>=_num30) { + if (z>=*_num30_p) { // wrap to interval [0, Pi/2) - z = _num60-z; + z = *_num60_p-z; sign = _ex_1; } - if (z.is_equal(_num0)) // tan(0) -> 0 + if (z.is_equal(*_num0_p)) // tan(0) -> 0 return _ex0; - if (z.is_equal(_num5)) // tan(Pi/12) -> 2-sqrt(3) + if (z.is_equal(*_num5_p)) // tan(Pi/12) -> 2-sqrt(3) return sign*(_ex2-sqrt(_ex3)); - if (z.is_equal(_num10)) // tan(Pi/6) -> sqrt(3)/3 + if (z.is_equal(*_num10_p)) // tan(Pi/6) -> sqrt(3)/3 return sign*_ex1_3*sqrt(_ex3); - if (z.is_equal(_num15)) // tan(Pi/4) -> 1 + if (z.is_equal(*_num15_p)) // tan(Pi/4) -> 1 return sign; - if (z.is_equal(_num20)) // tan(Pi/3) -> sqrt(3) + if (z.is_equal(*_num20_p)) // tan(Pi/3) -> sqrt(3) return sign*sqrt(_ex3); - if (z.is_equal(_num25)) // tan(5/12*Pi) -> 2+sqrt(3) + if (z.is_equal(*_num25_p)) // tan(5/12*Pi) -> 2+sqrt(3) return sign*(sqrt(_ex3)+_ex2); - if (z.is_equal(_num30)) // tan(Pi/2) -> infinity + if (z.is_equal(*_num30_p)) // tan(Pi/2) -> infinity throw (pole_error("tan_eval(): simple pole",1)); } @@ -548,7 +548,7 @@ static ex asin_eval(const ex & x) // asin(1) -> Pi/2 if (x.is_equal(_ex1)) - return _num1_2*Pi; + return _ex1_2*Pi; // asin(-1/2) -> -Pi/6 if (x.is_equal(_ex_1_2)) @@ -556,7 +556,7 @@ static ex asin_eval(const ex & x) // asin(-1) -> -Pi/2 if (x.is_equal(_ex_1)) - return _num_1_2*Pi; + return _ex_1_2*Pi; // asin(float) -> float if (!x.info(info_flags::crational))