* @param v vector of sym_desc structs (filled in) */
static void get_symbol_stats(const ex &a, const ex &b, sym_desc_vec &v)
{
- collect_symbols(a.eval(), v); // eval() to expand assigned symbols
- collect_symbols(b.eval(), v);
+ collect_symbols(a, v);
+ collect_symbols(b, v);
for (auto & it : v) {
int deg_a = a.degree(it.sym);
int deg_b = b.degree(it.sym);
lcm_accum *= op_lcm;
}
v.push_back(lcm / lcm_accum);
- return (new mul(v))->setflag(status_flags::dynallocated);
+ return dynallocate<mul>(v);
} else if (is_exactly_a<add>(e)) {
size_t num = e.nops();
exvector v; v.reserve(num);
for (size_t i=0; i<num; i++)
v.push_back(multiply_lcm(e.op(i), lcm));
- return (new add(v))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(v);
} else if (is_exactly_a<power>(e)) {
if (is_a<symbol>(e.op(0)))
return e * lcm;
term = rcoeff / blcoeff;
else {
if (!divide(rcoeff, blcoeff, term, false))
- return (new fail())->setflag(status_flags::dynallocated);
+ return dynallocate<fail>();
}
- term *= power(x, rdeg - bdeg);
+ term *= pow(x, rdeg - bdeg);
v.push_back(term);
r -= (term * b).expand();
if (r.is_zero())
break;
rdeg = r.degree(x);
}
- return (new add(v))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(v);
}
term = rcoeff / blcoeff;
else {
if (!divide(rcoeff, blcoeff, term, false))
- return (new fail())->setflag(status_flags::dynallocated);
+ return dynallocate<fail>();
}
- term *= power(x, rdeg - bdeg);
+ term *= pow(x, rdeg - bdeg);
r -= (term * b).expand();
if (r.is_zero())
break;
if (bdeg == 0)
eb = _ex0;
else
- eb -= blcoeff * power(x, bdeg);
+ eb -= blcoeff * pow(x, bdeg);
} else
blcoeff = _ex1;
int delta = rdeg - bdeg + 1, i = 0;
while (rdeg >= bdeg && !r.is_zero()) {
ex rlcoeff = r.coeff(x, rdeg);
- ex term = (power(x, rdeg - bdeg) * eb * rlcoeff).expand();
+ ex term = (pow(x, rdeg - bdeg) * eb * rlcoeff).expand();
if (rdeg == 0)
r = _ex0;
else
- r -= rlcoeff * power(x, rdeg);
+ r -= rlcoeff * pow(x, rdeg);
r = (blcoeff * r).expand() - term;
rdeg = r.degree(x);
i++;
}
- return power(blcoeff, delta - i) * r;
+ return pow(blcoeff, delta - i) * r;
}
if (bdeg == 0)
eb = _ex0;
else
- eb -= blcoeff * power(x, bdeg);
+ eb -= blcoeff * pow(x, bdeg);
} else
blcoeff = _ex1;
while (rdeg >= bdeg && !r.is_zero()) {
ex rlcoeff = r.coeff(x, rdeg);
- ex term = (power(x, rdeg - bdeg) * eb * rlcoeff).expand();
+ ex term = (pow(x, rdeg - bdeg) * eb * rlcoeff).expand();
if (rdeg == 0)
r = _ex0;
else
- r -= rlcoeff * power(x, rdeg);
+ r -= rlcoeff * pow(x, rdeg);
r = (blcoeff * r).expand() - term;
rdeg = r.degree(x);
}
else
resv.push_back(a.op(j));
}
- q = (new mul(resv))->setflag(status_flags::dynallocated);
+ q = dynallocate<mul>(resv);
return true;
}
} else if (is_exactly_a<power>(a)) {
int a_exp = ex_to<numeric>(a.op(1)).to_int();
ex rem_i;
if (divide(ab, b, rem_i, false)) {
- q = rem_i*power(ab, a_exp - 1);
+ q = rem_i * pow(ab, a_exp - 1);
return true;
}
// code below is commented-out because it leads to a significant slowdown
else
if (!divide(rcoeff, blcoeff, term, false))
return false;
- term *= power(x, rdeg - bdeg);
+ term *= pow(x, rdeg - bdeg);
v.push_back(term);
r -= (term * b).expand();
if (r.is_zero()) {
- q = (new add(v))->setflag(status_flags::dynallocated);
+ q = dynallocate<add>(v);
return true;
}
rdeg = r.degree(x);
ex term, rcoeff = r.coeff(x, rdeg);
if (!divide_in_z(rcoeff, blcoeff, term, var+1))
break;
- term = (term * power(x, rdeg - bdeg)).expand();
+ term = (term * pow(x, rdeg - bdeg)).expand();
v.push_back(term);
r -= (term * eb).expand();
if (r.is_zero()) {
- q = (new add(v))->setflag(status_flags::dynallocated);
+ q = dynallocate<add>(v);
#if USE_REMEMBER
dr_remember[ex2(a, b)] = exbool(q, true);
#endif
}
GINAC_ASSERT(is_exactly_a<numeric>(overall_coeff));
numeric coeff = GiNaC::smod(ex_to<numeric>(overall_coeff), xi);
- return (new add(std::move(newseq), coeff))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(std::move(newseq), coeff);
}
ex mul::smod(const numeric &xi) const
GINAC_ASSERT(!is_exactly_a<numeric>(recombine_pair_to_ex(it)));
}
#endif // def DO_GINAC_ASSERT
- mul * mulcopyp = new mul(*this);
+ mul & mulcopy = dynallocate<mul>(*this);
GINAC_ASSERT(is_exactly_a<numeric>(overall_coeff));
- mulcopyp->overall_coeff = GiNaC::smod(ex_to<numeric>(overall_coeff),xi);
- mulcopyp->clearflag(status_flags::evaluated);
- mulcopyp->clearflag(status_flags::hash_calculated);
- return mulcopyp->setflag(status_flags::dynallocated);
+ mulcopy.overall_coeff = GiNaC::smod(ex_to<numeric>(overall_coeff),xi);
+ mulcopy.clearflag(status_flags::evaluated);
+ mulcopy.clearflag(status_flags::hash_calculated);
+ return mulcopy;
}
numeric rxi = xi.inverse();
for (int i=0; !e.is_zero(); i++) {
ex gi = e.smod(xi);
- g.push_back(gi * power(x, i));
+ g.push_back(gi * pow(x, i));
e = (e - gi) * rxi;
}
- return (new add(g))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(g);
}
/** Exception thrown by heur_gcd() to signal failure. */
int ldeg_b = var->ldeg_b;
int min_ldeg = std::min(ldeg_a,ldeg_b);
if (min_ldeg > 0) {
- ex common = power(x, min_ldeg);
+ ex common = pow(x, min_ldeg);
return gcd((aex / common).expand(), (bex / common).expand(), ca, cb, false) * common;
}
if (ca)
*ca = _ex1;
if (cb)
- *cb = power(p, exp_b - exp_a);
- return power(p, exp_a);
+ *cb = pow(p, exp_b - exp_a);
+ return pow(p, exp_a);
} else {
if (ca)
- *ca = power(p, exp_a - exp_b);
+ *ca = pow(p, exp_a - exp_b);
if (cb)
*cb = _ex1;
- return power(p, exp_b);
+ return pow(p, exp_b);
}
}
// a(x) = g(x)^n A(x)^n, b(x) = g(x)^m B(x)^m ==>
// gcd(a, b) = g(x)^n gcd(A(x)^n, g(x)^(n-m) B(x)^m
if (exp_a < exp_b) {
- ex pg = gcd(power(p_co, exp_a), power(p_gcd, exp_b-exp_a)*power(pb_co, exp_b), ca, cb, false);
- return power(p_gcd, exp_a)*pg;
+ ex pg = gcd(pow(p_co, exp_a), pow(p_gcd, exp_b-exp_a)*pow(pb_co, exp_b), ca, cb, false);
+ return pow(p_gcd, exp_a)*pg;
} else {
- ex pg = gcd(power(p_gcd, exp_a - exp_b)*power(p_co, exp_a), power(pb_co, exp_b), ca, cb, false);
- return power(p_gcd, exp_b)*pg;
+ ex pg = gcd(pow(p_gcd, exp_a - exp_b)*pow(p_co, exp_a), pow(pb_co, exp_b), ca, cb, false);
+ return pow(p_gcd, exp_b)*pg;
}
}
if (p.is_equal(b)) {
// a = p^n, b = p, gcd = p
if (ca)
- *ca = power(p, a.op(1) - 1);
+ *ca = pow(p, a.op(1) - 1);
if (cb)
*cb = _ex1;
return p;
return _ex1;
}
// a(x) = g(x)^n A(x)^n, b(x) = g(x) B(x) ==> gcd(a, b) = g(x) gcd(g(x)^(n-1) A(x)^n, B(x))
- ex rg = gcd(power(p_gcd, exp_a-1)*power(p_co, exp_a), bpart_co, ca, cb, false);
+ ex rg = gcd(pow(p_gcd, exp_a-1)*pow(p_co, exp_a), bpart_co, ca, cb, false);
return p_gcd*rg;
}
part_b = part_cb;
}
if (ca)
- *ca = (new mul(acc_ca))->setflag(status_flags::dynallocated);
+ *ca = dynallocate<mul>(acc_ca);
if (cb)
*cb = part_b;
- return (new mul(g))->setflag(status_flags::dynallocated);
+ return dynallocate<mul>(g);
}
/** Compute LCM (Least Common Multiple) of multivariate polynomials in Z[X].
ex result = _ex1;
int p = 1;
for (auto & it : factors)
- result *= power(it, p++);
+ result *= pow(it, p++);
// Yun's algorithm does not account for constant factors. (For univariate
// polynomials it works only in the monic case.) We can correct this by
// Otherwise create new symbol and add to list, taking care that the
// replacement expression doesn't itself contain symbols from repl,
// because subs() is not recursive
- ex es = (new symbol)->setflag(status_flags::dynallocated);
+ ex es = dynallocate<symbol>();
repl.insert(std::make_pair(es, e_replaced));
rev_lookup.insert(std::make_pair(e_replaced, es));
return es;
// Otherwise create new symbol and add to list, taking care that the
// replacement expression doesn't itself contain symbols from repl,
// because subs() is not recursive
- ex es = (new symbol)->setflag(status_flags::dynallocated);
+ ex es = dynallocate<symbol>();
repl.insert(std::make_pair(es, e_replaced));
return es;
}
ex basic::normal(exmap & repl, exmap & rev_lookup, int level) const
{
if (nops() == 0)
- return (new lst{replace_with_symbol(*this, repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(*this, repl, rev_lookup), _ex1});
else {
if (level == 1)
- return (new lst{replace_with_symbol(*this, repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(*this, repl, rev_lookup), _ex1});
else if (level == -max_recursion_level)
throw(std::runtime_error("max recursion level reached"));
else {
normal_map_function map_normal(level - 1);
- return (new lst{replace_with_symbol(map(map_normal), repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(map(map_normal), repl, rev_lookup), _ex1});
}
}
}
* @see ex::normal */
ex symbol::normal(exmap & repl, exmap & rev_lookup, int level) const
{
- return (new lst{*this, _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({*this, _ex1});
}
}
// Denominator is always a real integer (see numeric::denom())
- return (new lst{numex, denom()})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({numex, denom()});
}
// Handle trivial case where denominator is 1
if (den.is_equal(_ex1))
- return (new lst{num, den})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({num, den});
// Handle special cases where numerator or denominator is 0
if (num.is_zero())
- return (new lst{num, _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({num, _ex1});
if (den.expand().is_zero())
throw(std::overflow_error("frac_cancel: division by zero in frac_cancel"));
// Return result as list
//std::clog << " returns num = " << num << ", den = " << den << ", pre_factor = " << pre_factor << std::endl;
- return (new lst{num * pre_factor.numer(), den * pre_factor.denom()})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({num * pre_factor.numer(), den * pre_factor.denom()});
}
ex add::normal(exmap & repl, exmap & rev_lookup, int level) const
{
if (level == 1)
- return (new lst{replace_with_symbol(*this, repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(*this, repl, rev_lookup), _ex1});
else if (level == -max_recursion_level)
throw(std::runtime_error("max recursion level reached"));
ex mul::normal(exmap & repl, exmap & rev_lookup, int level) const
{
if (level == 1)
- return (new lst{replace_with_symbol(*this, repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(*this, repl, rev_lookup), _ex1});
else if (level == -max_recursion_level)
throw(std::runtime_error("max recursion level reached"));
den.push_back(n.op(1));
// Perform fraction cancellation
- return frac_cancel((new mul(num))->setflag(status_flags::dynallocated),
- (new mul(den))->setflag(status_flags::dynallocated));
+ return frac_cancel(dynallocate<mul>(num), dynallocate<mul>(den));
}
ex power::normal(exmap & repl, exmap & rev_lookup, int level) const
{
if (level == 1)
- return (new lst{replace_with_symbol(*this, repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(*this, repl, rev_lookup), _ex1});
else if (level == -max_recursion_level)
throw(std::runtime_error("max recursion level reached"));
if (n_exponent.info(info_flags::positive)) {
// (a/b)^n -> {a^n, b^n}
- return (new lst{power(n_basis.op(0), n_exponent), power(n_basis.op(1), n_exponent)})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({pow(n_basis.op(0), n_exponent), pow(n_basis.op(1), n_exponent)});
} else if (n_exponent.info(info_flags::negative)) {
// (a/b)^-n -> {b^n, a^n}
- return (new lst{power(n_basis.op(1), -n_exponent), power(n_basis.op(0), -n_exponent)})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({pow(n_basis.op(1), -n_exponent), pow(n_basis.op(0), -n_exponent)});
}
} else {
if (n_exponent.info(info_flags::positive)) {
// (a/b)^x -> {sym((a/b)^x), 1}
- return (new lst{replace_with_symbol(power(n_basis.op(0) / n_basis.op(1), n_exponent), repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(pow(n_basis.op(0) / n_basis.op(1), n_exponent), repl, rev_lookup), _ex1});
} else if (n_exponent.info(info_flags::negative)) {
if (n_basis.op(1).is_equal(_ex1)) {
// a^-x -> {1, sym(a^x)}
- return (new lst{_ex1, replace_with_symbol(power(n_basis.op(0), -n_exponent), repl, rev_lookup)})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({_ex1, replace_with_symbol(pow(n_basis.op(0), -n_exponent), repl, rev_lookup)});
} else {
// (a/b)^-x -> {sym((b/a)^x), 1}
- return (new lst{replace_with_symbol(power(n_basis.op(1) / n_basis.op(0), -n_exponent), repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(pow(n_basis.op(1) / n_basis.op(0), -n_exponent), repl, rev_lookup), _ex1});
}
}
}
// (a/b)^x -> {sym((a/b)^x, 1}
- return (new lst{replace_with_symbol(power(n_basis.op(0) / n_basis.op(1), n_exponent), repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(pow(n_basis.op(0) / n_basis.op(1), n_exponent), repl, rev_lookup), _ex1});
}
newseq.push_back(expair(restexp, it.coeff));
}
ex n = pseries(relational(var,point), std::move(newseq));
- return (new lst{replace_with_symbol(n, repl, rev_lookup), _ex1})->setflag(status_flags::dynallocated);
+ return dynallocate<lst>({replace_with_symbol(n, repl, rev_lookup), _ex1});
}
ex power::to_rational(exmap & repl) const
{
if (exponent.info(info_flags::integer))
- return power(basis.to_rational(repl), exponent);
+ return pow(basis.to_rational(repl), exponent);
else
return replace_with_symbol(*this, repl);
}
ex power::to_polynomial(exmap & repl) const
{
if (exponent.info(info_flags::posint))
- return power(basis.to_rational(repl), exponent);
+ return pow(basis.to_rational(repl), exponent);
else if (exponent.info(info_flags::negint))
{
ex basis_pref = collect_common_factors(basis);
if (is_exactly_a<mul>(basis_pref) || is_exactly_a<power>(basis_pref)) {
// (A*B)^n will be automagically transformed to A^n*B^n
- ex t = power(basis_pref, exponent);
+ ex t = pow(basis_pref, exponent);
return t.to_polynomial(repl);
}
else
- return power(replace_with_symbol(power(basis, _ex_1), repl), -exponent);
+ return pow(replace_with_symbol(pow(basis, _ex_1), repl), -exponent);
}
else
return replace_with_symbol(*this, repl);
if (oc.info(info_flags::numeric))
return thisexpairseq(std::move(s), overall_coeff);
else
- s.push_back(combine_ex_with_coeff_to_pair(oc, _ex1));
+ s.push_back(expair(oc, _ex1));
return thisexpairseq(std::move(s), default_overall_coeff());
}
if (oc.info(info_flags::numeric))
return thisexpairseq(std::move(s), overall_coeff);
else
- s.push_back(combine_ex_with_coeff_to_pair(oc, _ex1));
+ s.push_back(expair(oc, _ex1));
return thisexpairseq(std::move(s), default_overall_coeff());
}
else
v.push_back(t.op(k));
}
- t = (new mul(v))->setflag(status_flags::dynallocated);
+ t = dynallocate<mul>(v);
goto term_done;
}
}
t = x;
term_done: ;
}
- return (new add(terms))->setflag(status_flags::dynallocated);
+ return dynallocate<add>(terms);
} else if (is_exactly_a<mul>(e)) {
for (size_t i=0; i<num; i++)
v.push_back(find_common_factor(e.op(i), factor, repl));
- return (new mul(v))->setflag(status_flags::dynallocated);
+ return dynallocate<mul>(v);
} else if (is_exactly_a<power>(e)) {
const ex e_exp(e.op(1));
ex eb = e.op(0).to_polynomial(repl);
ex factor_local(_ex1);
ex pre_res = find_common_factor(eb, factor_local, repl);
- factor *= power(factor_local, e_exp);
- return power(pre_res, e_exp);
+ factor *= pow(factor_local, e_exp);
+ return pow(pre_res, e_exp);
} else
return e.to_polynomial(repl);