/** @file diff.cpp
*
- * Implementation of symbolic differentiation in all of GiNaC's classes.
- *
+ * Implementation of symbolic differentiation in all of GiNaC's classes. */
+
+/*
* GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
#include "series.h"
#include "symbol.h"
+namespace GiNaC {
+
/** Default implementation of ex::diff(). It prints and error message and returns a fail object.
* @see ex::diff */
ex basic::diff(symbol const & s) const
ex function::diff(symbol const & s) const
{
exvector new_seq;
-
- if (serial == function_index_Order) {
-
+
+ if (serial==function_index_Order) {
// Order Term function only differentiates the argument
return Order(seq[0].diff(s));
-
} else {
-
// Chain rule
+ ex arg_diff;
for (unsigned i=0; i!=seq.size(); i++) {
- new_seq.push_back(mul(pdiff(i), seq[i].diff(s)));
+ arg_diff = seq[i].diff(s);
+ // We apply the chain rule only when it makes sense. This is not
+ // just for performance reasons but also to allow functions to
+ // throw when differentiated with respect to one of its arguments
+ // without running into trouble with our automatic full
+ // differentiation:
+ if (!arg_diff.is_zero())
+ new_seq.push_back(mul(pdiff(i), arg_diff));
}
}
return add(new_seq);
epvector new_seq;
epvector::const_iterator it = seq.begin(), itend = seq.end();
- //!! coeff might depend on var
+ // FIXME: coeff might depend on var
while (it != itend) {
if (is_order_function(it->rest)) {
new_seq.push_back(expair(it->rest, it->coeff - 1));
ex ex::diff(symbol const & s, unsigned nth) const
{
- ASSERT(bp!=0);
+ GINAC_ASSERT(bp!=0);
if ( nth==0 ) {
return *this;
}
return ndiff;
}
+
+} // namespace GiNaC