X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns.cpp;h=9c5019df6dfabf2ec6d37f585e5af080258c91f2;hp=de48b858452b01c3e2bde8c857e8046de4c06fc0;hb=b810b012f15981b0937fca5385a8fa2428180a6e;hpb=8bcccf834ad41e94a1a4f3a0304c2945b228b4f4 diff --git a/ginac/inifcns.cpp b/ginac/inifcns.cpp index de48b858..9c5019df 100644 --- a/ginac/inifcns.cpp +++ b/ginac/inifcns.cpp @@ -3,7 +3,7 @@ * Implementation of GiNaC's initially known functions. */ /* - * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2000 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 @@ -33,23 +33,49 @@ #include "numeric.h" #include "power.h" #include "relational.h" -#include "series.h" +#include "pseries.h" #include "symbol.h" +#include "utils.h" +#ifndef NO_GINAC_NAMESPACE namespace GiNaC { +#endif // ndef NO_GINAC_NAMESPACE + +////////// +// absolute value +////////// + +static ex abs_evalf(const ex & x) +{ + BEGIN_TYPECHECK + TYPECHECK(x,numeric) + END_TYPECHECK(abs(x)) + + return abs(ex_to_numeric(x)); +} + +static ex abs_eval(const ex & x) +{ + if (is_ex_exactly_of_type(x, numeric)) + return abs(ex_to_numeric(x)); + else + return abs(x).hold(); +} + +REGISTER_FUNCTION(abs, abs_eval, abs_evalf, NULL, NULL); ////////// // dilogarithm ////////// -static ex Li2_eval(ex const & x) +static ex Li2_eval(const ex & x) { if (x.is_zero()) return x; - if (x.is_equal(exONE())) - return power(Pi, 2) / 6; - if (x.is_equal(exMINUSONE())) - return -power(Pi, 2) / 12; + if (x.is_equal(_ex1())) + return power(Pi, _ex2()) / _ex6(); + if (x.is_equal(_ex_1())) + return -power(Pi, _ex2()) / _ex12(); return Li2(x).hold(); } @@ -59,7 +85,7 @@ REGISTER_FUNCTION(Li2, Li2_eval, NULL, NULL, NULL); // trilogarithm ////////// -static ex Li3_eval(ex const & x) +static ex Li3_eval(const ex & x) { if (x.is_zero()) return x; @@ -72,12 +98,12 @@ REGISTER_FUNCTION(Li3, Li3_eval, NULL, NULL, NULL); // factorial ////////// -static ex factorial_evalf(ex const & x) +static ex factorial_evalf(const ex & x) { return factorial(x).hold(); } -static ex factorial_eval(ex const & x) +static ex factorial_eval(const ex & x) { if (is_ex_exactly_of_type(x, numeric)) return factorial(ex_to_numeric(x)); @@ -91,12 +117,12 @@ REGISTER_FUNCTION(factorial, factorial_eval, factorial_evalf, NULL, NULL); // binomial ////////// -static ex binomial_evalf(ex const & x, ex const & y) +static ex binomial_evalf(const ex & x, const ex & y) { return binomial(x, y).hold(); } -static ex binomial_eval(ex const & x, ex const &y) +static ex binomial_eval(const ex & x, const ex &y) { if (is_ex_exactly_of_type(x, numeric) && is_ex_exactly_of_type(y, numeric)) return binomial(ex_to_numeric(x), ex_to_numeric(y)); @@ -110,12 +136,12 @@ REGISTER_FUNCTION(binomial, binomial_eval, binomial_evalf, NULL, NULL); // Order term function (for truncated power series) ////////// -static ex Order_eval(ex const & x) +static ex Order_eval(const ex & x) { if (is_ex_exactly_of_type(x, numeric)) { // O(c)=O(1) - return Order(exONE()).hold(); + return Order(_ex1()).hold(); } else if (is_ex_exactly_of_type(x, mul)) { @@ -129,18 +155,21 @@ static ex Order_eval(ex const & x) return Order(x).hold(); } -static ex Order_series(ex const & x, symbol const & s, ex const & point, int order) +static ex Order_series(const ex & x, const symbol & s, const ex & point, int order) { - // Just wrap the function into a series object + // Just wrap the function into a pseries object epvector new_seq; - new_seq.push_back(expair(Order(exONE()), numeric(min(x.ldegree(s), order)))); - return series(s, point, new_seq); + new_seq.push_back(expair(Order(_ex1()), numeric(min(x.ldegree(s), order)))); + return pseries(s, point, new_seq); } REGISTER_FUNCTION(Order, Order_eval, NULL, NULL, Order_series); -/** linear solve. */ -ex lsolve(ex const &eqns, ex const &symbols) +////////// +// Solve linear system +////////// + +ex lsolve(const ex &eqns, const ex &symbols) { // solve a system of linear equations if (eqns.info(info_flags::relation_equal)) { @@ -149,8 +178,8 @@ ex lsolve(ex const &eqns, ex const &symbols) } ex sol=lsolve(lst(eqns),lst(symbols)); - ASSERT(sol.nops()==1); - ASSERT(is_ex_exactly_of_type(sol.op(0),relational)); + GINAC_ASSERT(sol.nops()==1); + GINAC_ASSERT(is_ex_exactly_of_type(sol.op(0),relational)); return sol.op(0).op(1); // return rhs of first solution } @@ -159,7 +188,7 @@ ex lsolve(ex const &eqns, ex const &symbols) if (!eqns.info(info_flags::list)) { throw(std::invalid_argument("lsolve: 1st argument must be a list")); } - for (int i=0; i