DEFAULT_ARCHIVING(ncmul)
//////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
//////////
// public
bool ncmul::info(unsigned inf) const
{
- throw(std::logic_error("which flags have to be implemented in ncmul::info()?"));
+ return inherited::info(inf);
}
typedef std::vector<int> intvector;
{
// First, expand the children
exvector expanded_seq = expandchildren(options);
-
+
// Now, look for all the factors that are sums and remember their
- // position and number of terms. One remark is in order here: we do not
- // take into account the overall_coeff of the add objects. This is
- // because in GiNaC, all terms of a sum must be of the same type, so
- // a non-zero overall_coeff (which can only be numeric) would imply that
- // the sum only has commutative terms. But then it would never appear
- // as a factor of an ncmul.
+ // position and number of terms.
intvector positions_of_adds(expanded_seq.size());
intvector number_of_add_operands(expanded_seq.size());
unsigned current_position = 0;
exvector::const_iterator last = expanded_seq.end();
for (exvector::const_iterator cit=expanded_seq.begin(); cit!=last; ++cit) {
- if (is_ex_exactly_of_type(*cit, add)) {
+ if (is_exactly_a<add>(*cit)) {
positions_of_adds[number_of_adds] = current_position;
- const add & expanded_addref = ex_to<add>(*cit);
- number_of_add_operands[number_of_adds] = expanded_addref.seq.size();
- number_of_expanded_terms *= expanded_addref.seq.size();
+ unsigned num_ops = cit->nops();
+ number_of_add_operands[number_of_adds] = num_ops;
+ number_of_expanded_terms *= num_ops;
number_of_adds++;
}
- current_position++;
+ ++current_position;
}
// If there are no sums, we are done
while (true) {
exvector term = expanded_seq;
- for (int i=0; i<number_of_adds; i++) {
- GINAC_ASSERT(is_ex_exactly_of_type(expanded_seq[positions_of_adds[i]], add));
- const add & addref = ex_to<add>(expanded_seq[positions_of_adds[i]]);
- term[positions_of_adds[i]] = addref.recombine_pair_to_ex(addref.seq[k[i]]);
- }
+ for (int i=0; i<number_of_adds; i++)
+ term[positions_of_adds[i]] = expanded_seq[positions_of_adds[i]].op(k[i]);
distrseq.push_back((new ncmul(term, true))->
setflag(status_flags::dynallocated | (options == 0 ? status_flags::expanded : 0)));
typedef std::vector<unsigned> unsignedvector;
typedef std::vector<exvector> exvectorvector;
+/** Perform automatic term rewriting rules in this class. In the following
+ * x, x1, x2,... stand for a symbolic variables of type ex and c, c1, c2...
+ * stand for such expressions that contain a plain number.
+ * - ncmul(...,*(x1,x2),...,ncmul(x3,x4),...) -> ncmul(...,x1,x2,...,x3,x4,...) (associativity)
+ * - ncmul(x) -> x
+ * - ncmul() -> 1
+ * - ncmul(...,c1,...,c2,...) -> *(c1,c2,ncmul(...)) (pull out commutative elements)
+ * - ncmul(x1,y1,x2,y2) -> *(ncmul(x1,x2),ncmul(y1,y2)) (collect elements of same type)
+ * - ncmul(x1,x2,x3,...) -> x::simplify_ncmul(x1,x2,x3,...)
+ *
+ * @param level cut-off in recursive evaluation */
ex ncmul::eval(int level) const
{
- // simplifications: ncmul(...,*(x1,x2),...,ncmul(x3,x4),...) ->
- // ncmul(...,x1,x2,...,x3,x4,...) (associativity)
- // ncmul(x) -> x
- // ncmul() -> 1
- // ncmul(...,c1,...,c2,...)
- // *(c1,c2,ncmul(...)) (pull out commutative elements)
- // ncmul(x1,y1,x2,y2) -> *(ncmul(x1,x2),ncmul(y1,y2))
- // (collect elements of same type)
- // ncmul(x1,x2,x3,...) -> x::simplify_ncmul(x1,x2,x3,...)
- // the following rule would be nice, but produces a recursion,
+ // The following additional rule would be nice, but produces a recursion,
// which must be trapped by introducing a flag that the sub-ncmuls()
// are already evaluated (maybe later...)
// ncmul(x1,x2,...,X,y1,y2,...) ->
exvector evaledseq=evalchildren(level);
// ncmul(...,*(x1,x2),...,ncmul(x3,x4),...) ->
- // ncmul(...,x1,x2,...,x3,x4,...) (associativity)
+ // ncmul(...,x1,x2,...,x3,x4,...) (associativity)
unsigned factors = 0;
exvector::const_iterator cit = evaledseq.begin(), citend = evaledseq.end();
while (cit != citend)