#include "lst.h"
#include "matrix.h"
#include "mul.h"
-#include "ncmul.h"
-#include "numeric.h"
#include "power.h"
#include "relational.h"
#include "pseries.h"
for (unsigned c=0; c<symbols.nops(); c++) {
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)))
return sollist;
}
-/** non-commutative power. */
-ex ncpow(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, true);
-}
-
-// Symmetrize/antisymmetrize over a vector of objects
-static ex symm(const ex & e, exvector::const_iterator first, exvector::const_iterator last, bool asymmetric)
-{
- // Need at least 2 objects for this operation
- int num = last - first;
- if (num < 2)
- return e;
-
- // Sort object vector, transform it into a list, and make a copy so we
- // will know which objects get substituted for which
- exlist iv_lst;
- iv_lst.insert(iv_lst.begin(), first, last);
- shaker_sort(iv_lst.begin(), iv_lst.end(), ex_is_less());
- lst orig_lst(iv_lst);
-
- // Loop over all permutations (the first permutation, which is the
- // identity, is unrolled)
- ex sum = e;
- while (next_permutation(iv_lst.begin(), iv_lst.end(), ex_is_less())) {
- ex term = e.subs(orig_lst, lst(iv_lst));
- if (asymmetric) {
- exlist test_lst = iv_lst;
- term *= permutation_sign(test_lst.begin(), test_lst.end(), ex_is_less());
- }
- sum += term;
- }
- return sum / factorial(numeric(num));
-}
-
-ex symmetrize(const ex & e, exvector::const_iterator first, exvector::const_iterator last)
-{
- return symm(e, first, last, false);
-}
-
-ex antisymmetrize(const ex & e, exvector::const_iterator first, exvector::const_iterator last)
-{
- return symm(e, first, last, true);
-}
-
-/** Symmetrize expression over a list of objects (symbols, indices). */
-ex ex::symmetrize(const lst & l) const
-{
- exvector v;
- v.reserve(l.nops());
- for (unsigned i=0; i<l.nops(); i++)
- v.push_back(l.op(i));
- return symm(*this, v.begin(), v.end(), false);
-}
-
-/** Antisymmetrize expression over a list of objects (symbols, indices). */
-ex ex::antisymmetrize(const lst & l) const
-{
- exvector v;
- v.reserve(l.nops());
- for (unsigned i=0; i<l.nops(); i++)
- v.push_back(l.op(i));
- return symm(*this, v.begin(), v.end(), true);
-}
-
/** Force inclusion of functions from initcns_gamma and inifcns_zeta
* for static lib (so ginsh will see them). */
unsigned force_include_tgamma = function_index_tgamma;