static ex log_eval(const ex & x)
{
if (x.info(info_flags::numeric)) {
+ if (x.is_equal(_ex0())) // log(0) -> infinity
+ throw(std::domain_error("log_eval(): log(0)"));
+ if (x.info(info_flags::real) && x.info(info_flags::negative))
+ return (log(-x)+I*Pi);
if (x.is_equal(_ex1())) // log(1) -> 0
return _ex0();
- if (x.is_equal(_ex_1())) // log(-1) -> I*Pi
- return (I*Pi);
if (x.is_equal(I)) // log(I) -> Pi*I/2
return (Pi*I*_num1_2());
if (x.is_equal(-I)) // log(-I) -> -Pi*I/2
return (Pi*I*_num_1_2());
- if (x.is_equal(_ex0())) // log(0) -> infinity
- throw(std::domain_error("log_eval(): log(0)"));
// log(float)
if (!x.info(info_flags::crational))
return log_evalf(x);
static ex log_deriv(const ex & x, unsigned deriv_param)
{
GINAC_ASSERT(deriv_param==0);
-
+
// d/dx log(x) -> 1/x
return power(x, _ex_1());
}
-/*static ex log_series(const ex &x, const relational &rel, int order)
+static ex log_series(const ex &x, const relational &rel, int order)
{
const ex x_pt = x.subs(rel);
if (!x_pt.info(info_flags::negative) && !x_pt.is_zero())
epvector seq;
seq.push_back(expair(log(x), _ex0()));
return pseries(rel, seq);
- } // the branch cut:
+ } // on the branch cut:
const ex point = rel.rhs();
const symbol *s = static_cast<symbol *>(rel.lhs().bp);
const symbol foo;
// compute the formal series:
ex replx = series(log(x),*s==foo,order).subs(foo==point);
epvector seq;
- // FIXME: this is probably off by 2 or so:
seq.push_back(expair(-I*csgn(x*I)*Pi,_ex0()));
seq.push_back(expair(Order(_ex1()),order));
- return series(replx + pseries(rel, seq),rel,order);
-}*/
-
-static ex log_series(const ex &x, const relational &r, int order)
-{
- if (x.subs(r).is_zero()) {
- epvector seq;
- seq.push_back(expair(log(x), _ex0()));
- return pseries(r, seq);
- } else
- throw do_taylor();
+ return series(replx - I*Pi + pseries(rel, seq),rel,order);
}
REGISTER_FUNCTION(log, eval_func(log_eval).