}
/** Helper function for subs(). Does not recurse into subexpressions. */
-ex basic::subs_one_level(const lst & ls, const lst & lr, unsigned options) const
+ex basic::subs_one_level(const exmap & m, unsigned options) const
{
- GINAC_ASSERT(ls.nops() == lr.nops());
-
- lst::const_iterator its, itr;
+ exmap::const_iterator it;
if (options & subs_options::subs_no_pattern) {
- for (its = ls.begin(), itr = lr.begin(); its != ls.end(); ++its, ++itr) {
- if (is_equal(ex_to<basic>(*its)))
- return *itr;
- }
+ it = m.find(*this);
+ if (it != m.end())
+ return it->second;
} else {
- for (its = ls.begin(), itr = lr.begin(); its != ls.end(); ++its, ++itr) {
+ for (it = m.begin(); it != m.end(); ++it) {
lst repl_lst;
- if (match(ex_to<basic>(*its), repl_lst))
- return itr->subs(repl_lst, options | subs_options::subs_no_pattern); // avoid infinite recursion when re-substituting the wildcards
+ if (match(ex_to<basic>(it->first), repl_lst))
+ return it->second.subs(repl_lst, options | subs_options::subs_no_pattern); // avoid infinite recursion when re-substituting the wildcards
}
}
/** Substitute a set of objects by arbitrary expressions. The ex returned
* will already be evaluated. */
-ex basic::subs(const lst & ls, const lst & lr, unsigned options) const
+ex basic::subs(const exmap & m, unsigned options) const
{
size_t num = nops();
if (num) {
// Substitute in subexpressions
for (size_t i=0; i<num; i++) {
const ex & orig_op = op(i);
- const ex & subsed_op = orig_op.subs(ls, lr, options);
+ const ex & subsed_op = orig_op.subs(m, options);
if (!are_ex_trivially_equal(orig_op, subsed_op)) {
// Something changed, clone the object
// Substitute the other operands
for (; i<num; i++)
- copy->let_op(i) = op(i).subs(ls, lr, options);
+ copy->let_op(i) = op(i).subs(m, options);
// Perform substitutions on the new object as a whole
- return copy->subs_one_level(ls, lr, options);
+ return copy->subs_one_level(m, options);
}
}
}
// Nothing changed or no subexpressions
- return subs_one_level(ls, lr, options);
+ return subs_one_level(m, options);
}
/** Default interface of nth derivative ex::diff(s, n). It should be called
// public
-/** Substitute objects in an expression (syntactic substitution) and return
- * the result as a new expression. There are two valid types of
- * replacement arguments: 1) a relational like object==ex and 2) a list of
- * relationals lst(object1==ex1,object2==ex2,...), which is converted to
- * subs(lst(object1,object2,...),lst(ex1,ex2,...)). */
-ex basic::subs(const ex & e, unsigned options) const
-{
- if (e.info(info_flags::relation_equal)) {
- return subs(lst(e.lhs()), lst(e.rhs()), options);
- }
- if (!e.info(info_flags::list)) {
- throw(std::invalid_argument("basic::subs(ex): argument must be a list"));
- }
-
- // Split list into two
- lst ls;
- lst lr;
- GINAC_ASSERT(is_a<lst>(e));
- for (lst::const_iterator it = ex_to<lst>(e).begin(); it != ex_to<lst>(e).end(); ++it) {
- ex r = *it;
- if (!r.info(info_flags::relation_equal)) {
- throw(std::invalid_argument("basic::subs(ex): argument must be a list of equations"));
- }
- ls.append(r.op(0));
- lr.append(r.op(1));
- }
- return subs(ls, lr, options);
-}
-
/** Compare objects syntactically to establish canonical ordering.
* All compare functions return: -1 for *this less than other, 0 equal,
* 1 greater. */