#include "mul.h"
#include "add.h"
-#include "color.h"
-#include "clifford.h"
#include "power.h"
#include "operators.h"
#include "matrix.h"
GINAC_ASSERT(is_canonical());
}
-mul::mul(const epvector & v, const ex & oc)
+mul::mul(const epvector & v, const ex & oc, bool do_index_renaming)
{
tinfo_key = &mul::tinfo_static;
overall_coeff = oc;
- construct_from_epvector(v);
+ construct_from_epvector(v, do_index_renaming);
GINAC_ASSERT(is_canonical());
}
-mul::mul(std::auto_ptr<epvector> vp, const ex & oc)
+mul::mul(std::auto_ptr<epvector> vp, const ex & oc, bool do_index_renaming)
{
tinfo_key = &mul::tinfo_static;
GINAC_ASSERT(vp.get()!=0);
overall_coeff = oc;
- construct_from_epvector(*vp);
+ construct_from_epvector(*vp, do_index_renaming);
GINAC_ASSERT(is_canonical());
}
c.s << "(";
if (!overall_coeff.is_equal(_ex1)) {
- overall_coeff.print(c, precedence());
- c.s << "*";
+ if (overall_coeff.is_equal(_ex_1))
+ c.s << "-";
+ else {
+ overall_coeff.print(c, precedence());
+ c.s << "*";
+ }
}
// Print arguments, separated by "*" or "/"
return mul(s, overall_coeff.evalf(level));
}
+void mul::find_real_imag(ex & rp, ex & ip) const
+{
+ rp = overall_coeff.real_part();
+ ip = overall_coeff.imag_part();
+ for (epvector::const_iterator i=seq.begin(); i!=seq.end(); ++i) {
+ ex factor = recombine_pair_to_ex(*i);
+ ex new_rp = factor.real_part();
+ ex new_ip = factor.imag_part();
+ if(new_ip.is_zero()) {
+ rp *= new_rp;
+ ip *= new_rp;
+ } else {
+ ex temp = rp*new_rp - ip*new_ip;
+ ip = ip*new_rp + rp*new_ip;
+ rp = temp;
+ }
+ }
+ rp = rp.expand();
+ ip = ip.expand();
+}
+
+ex mul::real_part() const
+{
+ ex rp, ip;
+ find_real_imag(rp, ip);
+ return rp;
+}
+
+ex mul::imag_part() const
+{
+ ex rp, ip;
+ find_real_imag(rp, ip);
+ return ip;
+}
+
ex mul::evalm() const
{
// numeric*matrix
return true;
}
-/** Checks wheter e matches to the pattern pat and the (possibly to be updated
+/** Checks wheter e matches to the pattern pat and the (possibly to be updated)
* list of replacements repls. This matching is in the sense of algebraic
* substitutions. Matching starts with pat.op(factor) of the pattern because
* the factors before this one have already been matched. The (possibly
return false;
}
+bool mul::has(const ex & pattern, unsigned options) const
+{
+ if(!(options&has_options::algebraic))
+ return basic::has(pattern,options);
+ if(is_a<mul>(pattern)) {
+ lst repls;
+ int nummatches = std::numeric_limits<int>::max();
+ std::vector<bool> subsed(seq.size(), false);
+ std::vector<bool> matched(seq.size(), false);
+ if(algebraic_match_mul_with_mul(*this, pattern, repls, 0, nummatches,
+ subsed, matched))
+ return true;
+ }
+ return basic::has(pattern, options);
+}
+
ex mul::algebraic_subs_mul(const exmap & m, unsigned options) const
{
std::vector<bool> subsed(seq.size(), false);
exvector subsresult(seq.size());
+ ex divide_by = 1;
+ ex multiply_by = 1;
for (exmap::const_iterator it = m.begin(); it != m.end(); ++it) {
if(!algebraic_match_mul_with_mul(*this, it->first, repls, 0, nummatches, subsed, currsubsed))
continue;
- bool foundfirstsubsedfactor = false;
- for (size_t j=0; j<subsed.size(); j++) {
- if (currsubsed[j]) {
- if (foundfirstsubsedfactor)
- subsresult[j] = op(j);
- else {
- foundfirstsubsedfactor = true;
- subsresult[j] = op(j) * power(it->second.subs(ex(repls), subs_options::no_pattern) / it->first.subs(ex(repls), subs_options::no_pattern), nummatches);
- }
+ for (size_t j=0; j<subsed.size(); j++)
+ if (currsubsed[j])
subsed[j] = true;
- }
- }
+ ex subsed_pattern
+ = it->first.subs(ex(repls), subs_options::no_pattern);
+ divide_by *= power(subsed_pattern, nummatches);
+ ex subsed_result
+ = it->second.subs(ex(repls), subs_options::no_pattern);
+ multiply_by *= power(subsed_result, nummatches);
goto retry1;
} else {
-retry2:
- int nummatches = std::numeric_limits<int>::max();
- lst repls;
for (size_t j=0; j<this->nops(); j++) {
- if (!subsed[j] && tryfactsubs(op(j), it->first, nummatches, repls)) {
+ int nummatches = std::numeric_limits<int>::max();
+ lst repls;
+ if (!subsed[j] && tryfactsubs(op(j), it->first, nummatches, repls)){
subsed[j] = true;
- subsresult[j] = op(j) * power(it->second.subs(ex(repls), subs_options::no_pattern) / it->first.subs(ex(repls), subs_options::no_pattern), nummatches);
- goto retry2;
+ ex subsed_pattern
+ = it->first.subs(ex(repls), subs_options::no_pattern);
+ divide_by *= power(subsed_pattern, nummatches);
+ ex subsed_result
+ = it->second.subs(ex(repls), subs_options::no_pattern);
+ multiply_by *= power(subsed_result, nummatches);
}
}
}
if (!subsfound)
return subs_one_level(m, options | subs_options::algebraic);
- exvector ev; ev.reserve(nops());
- for (size_t i=0; i<nops(); i++) {
- if (subsed[i])
- ev.push_back(subsresult[i]);
- else
- ev.push_back(op(i));
- }
-
- return (new mul(ev))->setflag(status_flags::dynallocated);
+ return ((*this)/divide_by)*multiply_by;
}
// protected
}
if ((rt == return_types::noncommutative) && (!all_commutative)) {
// another nc element found, compare type_infos
- if (noncommutative_element->rest.return_type_tinfo()->tinfo() == &clifford::tinfo_static) {
- if (i->rest.return_type_tinfo()->tinfo() != &clifford::tinfo_static ||
- ((clifford*)(noncommutative_element->rest.return_type_tinfo()))->get_representation_label() !=
- ((clifford*)(i->rest.return_type_tinfo()))->get_representation_label()) {
- // diffent types -> mul is ncc
- return return_types::noncommutative_composite;
- }
- } else if (noncommutative_element->rest.return_type_tinfo()->tinfo() == &color::tinfo_static) {
- if (i->rest.return_type_tinfo()->tinfo() != &color::tinfo_static ||
- ((color*)(noncommutative_element->rest.return_type_tinfo()))->get_representation_label() !=
- ((color*)(i->rest.return_type_tinfo()))->get_representation_label()) {
- // diffent types -> mul is ncc
- return return_types::noncommutative_composite;
- }
- } else if (noncommutative_element->rest.return_type_tinfo()->tinfo() != i->rest.return_type_tinfo()->tinfo()) {
+ if (noncommutative_element->rest.return_type_tinfo() != i->rest.return_type_tinfo()) {
+ // different types -> mul is ncc
return return_types::noncommutative_composite;
}
}
return all_commutative ? return_types::commutative : return_types::noncommutative;
}
-const basic* mul::return_type_tinfo() const
+tinfo_t mul::return_type_tinfo() const
{
if (seq.empty())
return this; // mul without factors: should not happen
return this;
}
-ex mul::thisexpairseq(const epvector & v, const ex & oc) const
+ex mul::thisexpairseq(const epvector & v, const ex & oc, bool do_index_renaming) const
{
- return (new mul(v, oc))->setflag(status_flags::dynallocated);
+ return (new mul(v, oc, do_index_renaming))->setflag(status_flags::dynallocated);
}
-ex mul::thisexpairseq(std::auto_ptr<epvector> vp, const ex & oc) const
+ex mul::thisexpairseq(std::auto_ptr<epvector> vp, const ex & oc, bool do_index_renaming) const
{
- return (new mul(vp, oc))->setflag(status_flags::dynallocated);
+ return (new mul(vp, oc, do_index_renaming))->setflag(status_flags::dynallocated);
}
expair mul::split_ex_to_pair(const ex & e) const
exvector add1_dummy_indices, add2_dummy_indices, add_indices;
for (epvector::const_iterator i=add1begin; i!=add1end; ++i) {
- add_indices = get_all_dummy_indices(i->rest);
+ add_indices = get_all_dummy_indices_safely(i->rest);
add1_dummy_indices.insert(add1_dummy_indices.end(), add_indices.begin(), add_indices.end());
}
for (epvector::const_iterator i=add2begin; i!=add2end; ++i) {
- add_indices = get_all_dummy_indices(i->rest);
+ add_indices = get_all_dummy_indices_safely(i->rest);
add2_dummy_indices.insert(add2_dummy_indices.end(), add_indices.begin(), add_indices.end());
}
size_t n = last_expanded.nops();
exvector distrseq;
distrseq.reserve(n);
- exvector va = get_all_dummy_indices(mul(non_adds));
+ exvector va = get_all_dummy_indices_safely(mul(non_adds));
sort(va.begin(), va.end(), ex_is_less());
for (size_t i=0; i<n; ++i) {
git://www.ginac.de / ginac.git / blobdiff