* Implementation of GiNaC's initially known functions. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 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
#include "lst.h"
#include "matrix.h"
#include "mul.h"
-#include "ncmul.h"
-#include "numeric.h"
#include "power.h"
#include "relational.h"
#include "pseries.h"
#include "symbol.h"
#include "utils.h"
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
//////////
// absolute value
TYPECHECK(arg,numeric)
END_TYPECHECK(abs(arg))
- return abs(ex_to_numeric(arg));
+ return abs(ex_to<numeric>(arg));
}
static ex abs_eval(const ex & arg)
{
if (is_ex_exactly_of_type(arg, numeric))
- return abs(ex_to_numeric(arg));
+ return abs(ex_to<numeric>(arg));
else
return abs(arg).hold();
}
REGISTER_FUNCTION(abs, eval_func(abs_eval).
- evalf_func(abs_evalf));
+ evalf_func(abs_evalf));
//////////
TYPECHECK(arg,numeric)
END_TYPECHECK(csgn(arg))
- return csgn(ex_to_numeric(arg));
+ return csgn(ex_to<numeric>(arg));
}
static ex csgn_eval(const ex & arg)
{
if (is_ex_exactly_of_type(arg, numeric))
- return csgn(ex_to_numeric(arg));
+ return csgn(ex_to<numeric>(arg));
- else if (is_ex_exactly_of_type(arg, mul)) {
- numeric oc = ex_to_numeric(arg.op(arg.nops()-1));
+ else if (is_ex_of_type(arg, mul) &&
+ is_ex_of_type(arg.op(arg.nops()-1),numeric)) {
+ numeric oc = ex_to<numeric>(arg.op(arg.nops()-1));
if (oc.is_real()) {
if (oc > 0)
// csgn(42*x) -> csgn(x)
return -csgn(I*arg/oc).hold();
}
}
-
+
return csgn(arg).hold();
}
static ex csgn_series(const ex & arg,
- const relational & rel,
- int order,
- unsigned options)
+ const relational & rel,
+ int order,
+ unsigned options)
{
const ex arg_pt = arg.subs(rel);
- if (arg_pt.info(info_flags::numeric) &&
- ex_to_numeric(arg_pt).real().is_zero())
+ if (arg_pt.info(info_flags::numeric)
+ && ex_to<numeric>(arg_pt).real().is_zero()
+ && !(options & series_options::suppress_branchcut))
throw (std::domain_error("csgn_series(): on imaginary axis"));
epvector seq;
}
REGISTER_FUNCTION(csgn, eval_func(csgn_eval).
- evalf_func(csgn_evalf).
- series_func(csgn_series));
+ evalf_func(csgn_evalf).
+ series_func(csgn_series));
//////////
TYPECHECK(y,numeric)
END_TYPECHECK(eta(x,y))
- numeric xim = imag(ex_to_numeric(x));
- numeric yim = imag(ex_to_numeric(y));
- numeric xyim = imag(ex_to_numeric(x*y));
+ numeric xim = imag(ex_to<numeric>(x));
+ numeric yim = imag(ex_to<numeric>(y));
+ numeric xyim = imag(ex_to<numeric>(x*y));
return evalf(I/4*Pi)*((csgn(-xim)+1)*(csgn(-yim)+1)*(csgn(xyim)+1)-(csgn(xim)+1)*(csgn(yim)+1)*(csgn(-xyim)+1));
}
if (is_ex_exactly_of_type(x, numeric) &&
is_ex_exactly_of_type(y, numeric)) {
// don't call eta_evalf here because it would call Pi.evalf()!
- numeric xim = imag(ex_to_numeric(x));
- numeric yim = imag(ex_to_numeric(y));
- numeric xyim = imag(ex_to_numeric(x*y));
+ numeric xim = imag(ex_to<numeric>(x));
+ numeric yim = imag(ex_to<numeric>(y));
+ numeric xyim = imag(ex_to<numeric>(x*y));
return (I/4)*Pi*((csgn(-xim)+1)*(csgn(-yim)+1)*(csgn(xyim)+1)-(csgn(xim)+1)*(csgn(yim)+1)*(csgn(-xyim)+1));
}
}
static ex eta_series(const ex & arg1,
- const ex & arg2,
- const relational & rel,
- int order,
- unsigned options)
+ const ex & arg2,
+ const relational & rel,
+ int order,
+ unsigned options)
{
const ex arg1_pt = arg1.subs(rel);
const ex arg2_pt = arg2.subs(rel);
- if (ex_to_numeric(arg1_pt).imag().is_zero() ||
- ex_to_numeric(arg2_pt).imag().is_zero() ||
- ex_to_numeric(arg1_pt*arg2_pt).imag().is_zero()) {
+ if (ex_to<numeric>(arg1_pt).imag().is_zero() ||
+ ex_to<numeric>(arg2_pt).imag().is_zero() ||
+ ex_to<numeric>(arg1_pt*arg2_pt).imag().is_zero()) {
throw (std::domain_error("eta_series(): on discontinuity"));
}
epvector seq;
}
REGISTER_FUNCTION(eta, eval_func(eta_eval).
- evalf_func(eta_evalf).
- series_func(eta_series));
+ evalf_func(eta_evalf).
+ series_func(eta_series).
+ latex_name("\\eta"));
//////////
TYPECHECK(x,numeric)
END_TYPECHECK(Li2(x))
- return Li2(ex_to_numeric(x)); // -> numeric Li2(numeric)
+ return Li2(ex_to<numeric>(x)); // -> numeric Li2(numeric)
}
static ex Li2_eval(const ex & x)
}
// third special case: x real, >=1 (branch cut)
if (!(options & series_options::suppress_branchcut) &&
- ex_to_numeric(x_pt).is_real() && ex_to_numeric(x_pt)>1) {
+ ex_to<numeric>(x_pt).is_real() && ex_to<numeric>(x_pt)>1) {
// method:
// This is the branch cut: assemble the primitive series manually
// and then add the corresponding complex step function.
}
REGISTER_FUNCTION(Li2, eval_func(Li2_eval).
- evalf_func(Li2_evalf).
- derivative_func(Li2_deriv).
- series_func(Li2_series));
+ evalf_func(Li2_evalf).
+ derivative_func(Li2_deriv).
+ series_func(Li2_series).
+ latex_name("\\mbox{Li}_2"));
//////////
// trilogarithm
return Li3(x).hold();
}
-REGISTER_FUNCTION(Li3, eval_func(Li3_eval));
+REGISTER_FUNCTION(Li3, eval_func(Li3_eval).
+ latex_name("\\mbox{Li}_3"));
//////////
// factorial
static ex factorial_eval(const ex & x)
{
if (is_ex_exactly_of_type(x, numeric))
- return factorial(ex_to_numeric(x));
+ return factorial(ex_to<numeric>(x));
else
return factorial(x).hold();
}
REGISTER_FUNCTION(factorial, eval_func(factorial_eval).
- evalf_func(factorial_evalf));
+ evalf_func(factorial_evalf));
//////////
// binomial
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));
+ return binomial(ex_to<numeric>(x), ex_to<numeric>(y));
else
return binomial(x, y).hold();
}
REGISTER_FUNCTION(binomial, eval_func(binomial_eval).
- evalf_func(binomial_evalf));
+ evalf_func(binomial_evalf));
//////////
// Order term function (for truncated power series)
// Differentiation is handled in function::derivative because of its special requirements
REGISTER_FUNCTION(Order, eval_func(Order_eval).
- series_func(Order_series));
+ series_func(Order_series).
+ latex_name("\\mathcal{O}"));
//////////
// Inert partial differentiation operator
ex eq = eqns.op(r).op(0)-eqns.op(r).op(1); // lhs-rhs==0
ex linpart = eq;
for (unsigned c=0; c<symbols.nops(); c++) {
- ex co = eq.coeff(ex_to_symbol(symbols.op(c)),1);
+ ex co = eq.coeff(ex_to<symbol>(symbols.op(c)),1);
linpart -= co*symbols.op(c);
- sys.set(r,c,co);
+ sys(r,c) = co;
}
linpart = linpart.expand();
- rhs.set(r,0,-linpart);
+ rhs(r,0) = -linpart;
}
// test if system is linear and fill vars matrix
for (unsigned i=0; i<symbols.nops(); i++) {
- vars.set(i,0,symbols.op(i));
+ vars(i,0) = symbols.op(i);
if (sys.has(symbols.op(i)))
throw(std::logic_error("lsolve: system is not linear"));
if (rhs.has(symbols.op(i)))
matrix solution;
try {
solution = sys.solve(vars,rhs);
- } catch (const runtime_error & e) {
+ } catch (const std::runtime_error & e) {
// Probably singular matrix or otherwise overdetermined system:
// It is consistent to return an empty list
return lst();
return sollist;
}
-/** non-commutative power. */
-ex ncpower(const ex &basis, unsigned exponent)
-{
- if (exponent==0) {
- return _ex1();
- }
-
- exvector v;
- v.reserve(exponent);
- for (unsigned i=0; i<exponent; ++i) {
- v.push_back(basis);
- }
-
- return ncmul(v,1);
-}
-
-/** Force inclusion of functions from initcns_gamma and inifcns_zeta
- * for static lib (so ginsh will see them). */
+/* Force inclusion of functions from inifcns_gamma and inifcns_zeta
+ * for static lib (so ginsh will see them). */
unsigned force_include_tgamma = function_index_tgamma;
unsigned force_include_zeta1 = function_index_zeta1;
-#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
git://www.ginac.de / ginac.git / blobdiff