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#include "Config.hh"
#include "py_ex.hh"
#include "py_helpers.hh"
#include "py_globals.hh"
#include "py_kernel.hh"
#include "py_algorithms.hh"
#include "algorithms/map_sympy.hh"
#ifdef MATHEMATICA_FOUND
#include "algorithms/map_mma.hh"
#endif
#include "Exceptions.hh"
#include "Parser.hh"
#include "PreClean.hh"
#include "Cleanup.hh"
#include "Bridge.hh"
#include "SympyCdb.hh"
// Includes for display routines
#include <sstream>
#include "DisplayMMA.hh"
#include "DisplayTeX.hh"
#include "DisplaySympy.hh"
#include "DisplayTerminal.hh"
#include <ios>
#include <iomanip>
// #define DEBUG 1
namespace cadabra {
namespace py = pybind11;
bool Ex_compare(Ex_ptr one, Ex_ptr other)
{
return tree_equal(&(get_kernel_from_scope()->properties), *one, *other);
}
bool Ex_compare(Ex_ptr one, int other)
{
auto ex = std::make_shared<Ex>(other);
return Ex_compare(one, ex);
}
Ex_ptr Ex_add(const Ex_ptr ex1, const ExNode ex2)
{
return Ex_add(ex1, ex2.ex, ex2.it);
}
Ex_ptr Ex_add(const Ex_ptr ex1, const Ex_ptr ex2)
{
return Ex_add(ex1, ex2, ex2->begin());
}
Ex_ptr Ex_add(const Ex_ptr ex1, const Ex_ptr ex2, Ex::iterator top2)
{
if (ex1->size() == 0) return ex2;
if (ex2->size() == 0) return ex1;
// Using '+' for list addition is very illogical; it should add
// componentwise.
// bool comma1 = (*ex1->begin()->name == "\\comma");
// bool comma2 = (*ex2->begin()->name == "\\comma");
// if (comma1 || comma2) {
// if (comma1) {
// auto ret = std::make_shared<Ex>(*ex1);
// auto loc = ret->append_child(ret->begin(), top2);
// if (comma2)
// ret->flatten_and_erase(loc);
// return ret;
// }
// else {
// auto ret = std::make_shared<Ex>(top2);
// auto loc = ret->prepend_child(ret->begin(), ex1->begin());
// if (comma1)
// ret->flatten_and_erase(loc);
// return ret;
// }
// }
// else {
auto ret = std::make_shared<Ex>(*ex1);
if (*ret->begin()->name != "\\sum")
ret->wrap(ret->begin(), str_node("\\sum"));
ret->append_child(ret->begin(), top2);
auto it = ret->begin();
cleanup_dispatch(*get_kernel_from_scope(), *ret, it);
return ret;
// }
}
Ex_ptr Ex_join(const Ex_ptr ex1, const Ex_ptr ex2)
{
if (ex1->size() == 0) return ex2;
if (ex2->size() == 0) return ex1;
bool comma1 = (*ex1->begin()->name == "\\comma");
bool comma2 = (*ex2->begin()->name == "\\comma");
if(comma1 || comma2) {
if (comma1) {
auto ret = std::make_shared<Ex>(*ex1);
auto loc = ret->append_child(ret->begin(), ex2->begin());
if (comma2)
ret->flatten_and_erase(loc);
return ret;
}
else {
auto ret = std::make_shared<Ex>(ex2->begin());
auto loc = ret->prepend_child(ret->begin(), ex1->begin());
if (comma1)
ret->flatten_and_erase(loc);
return ret;
}
}
else {
auto ret = std::make_shared<Ex>(*ex1);
if (*ret->begin()->name != "\\comma")
ret->wrap(ret->begin(), str_node("\\comma"));
ret->append_child(ret->begin(), ex2->begin());
auto it = ret->begin();
cleanup_dispatch(*get_kernel_from_scope(), *ret, it);
return ret;
}
}
Ex_ptr Ex_mul(const Ex_ptr ex1, const Ex_ptr ex2)
{
return Ex_mul(ex1, ex2, ex2->begin());
}
Ex_ptr Ex_mul(const Ex_ptr ex1, const Ex_ptr ex2, Ex::iterator top2)
{
if (ex1->size() == 0) return ex2;
if (ex2->size() == 0) return ex1;
auto ret = std::make_shared<Ex>(*ex1);
if (*ret->begin()->name != "\\prod")
ret->wrap(ret->begin(), str_node("\\prod"));
ret->append_child(ret->begin(), top2);
auto it = ret->begin();
cleanup_dispatch(*get_kernel_from_scope(), *ret, it);
return ret;
}
Ex_ptr Ex_sub(const Ex_ptr ex1, const ExNode ex2)
{
return Ex_sub(ex1, ex2.ex, ex2.it);
}
Ex_ptr Ex_sub(const Ex_ptr ex1, const Ex_ptr ex2)
{
return Ex_sub(ex1, ex2, ex2->begin());
}
Ex_ptr Ex_sub(const Ex_ptr ex1, const Ex_ptr ex2, Ex::iterator top2)
{
if (ex1->size() == 0) {
if (ex2->size() != 0) {
auto ret = std::make_shared<Ex>(*ex2);
multiply(ex2->begin()->multiplier, -1);
auto it = ret->begin();
cleanup_dispatch(*get_kernel_from_scope(), *ret, it);
return ret;
}
else return ex2;
}
if (ex2->size() == 0) return ex1;
auto ret = std::make_shared<Ex>(*ex1);
if (*ret->begin()->name != "\\sum")
ret->wrap(ret->begin(), str_node("\\sum"));
multiply(ret->append_child(ret->begin(), top2)->multiplier, -1);
auto it = ret->begin();
cleanup_dispatch(*get_kernel_from_scope(), *ret, it);
return ret;
}
Ex_ptr fetch_from_python(const std::string& nm)
{
auto locals = get_locals();
auto ret = fetch_from_python(nm, locals);
if (!ret) {
auto globals = get_globals();
ret = fetch_from_python(nm, globals);
}
return ret;
}
Ex_ptr fetch_from_python(const std::string& nm, pybind11::object scope)
{
// std::cerr << "fetch from python " << nm << std::endl;
if (!scope_has(scope, nm.c_str())) {
// std::cerr << "not present" << std::endl;
return 0;
}
auto obj = scope[nm.c_str()];
try {
return obj.cast<Ex_ptr>();
}
catch (const pybind11::cast_error& e) {
try {
auto exnode = obj.cast<ExNode>();
auto ret = std::make_shared<Ex>(exnode.it);
return ret;
}
catch (const pybind11::cast_error& e) {
std::cout << nm << " is not of type cadabra.Ex or cadabra.ExNode" << std::endl;
}
}
return 0;
}
std::string Ex_as_str(Ex_ptr ex)
{
std::ostringstream str;
//
// // if(state()==Algorithm::result_t::l_no_action)
// // str << "(unchanged)" << std::endl;
// DisplayTeX dt(get_kernel_from_scope()->properties, ex);
DisplayTerminal dt(*get_kernel_from_scope(), *ex, true);
dt.output(str);
return str.str();
}
std::string Ex_as_repr(Ex_ptr ex)
{
if (!ex) return "";
if (ex->begin() == ex->end()) return "";
// Ex::iterator it = ex->begin();
std::ostringstream str;
ex->print_python(str, ex->begin());
return str.str();
}
std::string Ex_as_latex(Ex_ptr ex)
{
if (!ex) return "";
std::ostringstream str;
DisplayTeX dt(*get_kernel_from_scope(), *ex);
dt.output(str);
return str.str();
}
pybind11::object Ex_as_sympy(Ex_ptr ex)
{
// Generate a string which can be parsed by Sympy.
std::string txt = Ex_as_sympy_string(ex);
// Call sympify on a sympy-parseable textual representation.
pybind11::module sympy_parser = pybind11::module::import("sympy.parsing.sympy_parser");
auto parse = sympy_parser.attr("parse_expr");
#ifdef DEBUG
std::cerr << "Feeding sympy: " << txt << std::endl;
#endif
pybind11::object ret = parse(txt);
return ret;
}
std::string Ex_as_sympy_string(Ex_ptr ex)
{
// Check to see if the expression is a scalar without dummy indices.
// Algorithm::index_map_t ind_free, ind_dummy;
// Algorithm::classify_indices(ex.begin(), ind_free, ind_dummy);
// if(ind_dummy.size()>0)
// throw NonScalarException("Expression contains dummy indices.");
// if(ind_free.size()>0)
// throw NonScalarException("Expression contains free indices.");
if (!ex) return "";
std::ostringstream str;
DisplaySympy dt(*get_kernel_from_scope(), *ex);
dt.output(str);
return str.str();
}
std::string Ex_as_input(Ex_ptr ex)
{
std::ostringstream str;
//
// // if(state()==Algorithm::result_t::l_no_action)
// // str << "(unchanged)" << std::endl;
// DisplayTeX dt(get_kernel_from_scope()->properties, ex);
DisplayTerminal dt(*get_kernel_from_scope(), *ex, false);
dt.output(str);
return str.str();
}
std::string Ex_as_MMA(Ex_ptr ex, bool use_unicode)
{
// Check to see if the expression is a scalar without dummy indices.
// Algorithm::index_map_t ind_free, ind_dummy;
// Algorithm::classify_indices(ex.begin(), ind_free, ind_dummy);
// if(ind_dummy.size()>0)
// throw NonScalarException("Expression contains dummy indices.");
// if(ind_free.size()>0)
// throw NonScalarException("Expression contains free indices.");
std::ostringstream str;
DisplayMMA dt(*get_kernel_from_scope(), *ex, use_unicode);
dt.output(str);
return str.str();
}
Ex_comparator::match_t ExNode_compare(const ExNode& lhs, const ExNode& rhs, const std::string& use_props, bool ignore_parent_rel)
{
Ex_comparator comp(get_kernel_from_scope()->properties);
Ex_comparator::useprops_t up = Ex_comparator::useprops_t::always;
if (use_props == "not_at_top")
up = Ex_comparator::useprops_t::not_at_top;
else if (use_props == "never")
up = Ex_comparator::useprops_t::never;
return comp.equal_subtree(lhs.it, rhs.it, up, ignore_parent_rel);
}
std::string print_tree(Ex *ex)
{
std::ostringstream str;
ex->print_entire_tree(str);
return str.str();
}
Ex lhs(Ex_ptr ex)
{
auto it = ex->begin();
if (it == ex->end())
throw ArgumentException("Empty expression passed to 'lhs'.");
if (*it->name != "\\equals")
throw ArgumentException("Cannot take 'lhs' of expression which is not an equation.");
return Ex(ex->begin(ex->begin()));
}
Ex rhs(Ex_ptr ex)
{
auto it = ex->begin();
if (it == ex->end())
throw ArgumentException("Empty expression passed to 'rhs'.");
if (*it->name != "\\equals")
throw ArgumentException("Cannot take 'rhs' of expression which is not an equation.");
auto sib = ex->begin(ex->begin());
++sib;
return Ex(sib);
}
Ex Ex_getslice(Ex_ptr ex, pybind11::slice slice)
{
Ex result;
pybind11::size_t start, stop, step, length;
slice.compute(ex->size(), &start, &stop, &step, &length);
if (length == 0)
return result;
// Set head
auto it = result.set_head(*ex->begin());
// Iterate over fully-closed range.
for (; start != stop; start += step) {
Ex::iterator toadd(ex->begin());
std::advance(toadd, start);
result.append_child(it, toadd);
}
Ex::iterator toadd(ex->begin());
std::advance(toadd, start);
result.append_child(it, toadd);
return result;
}
Ex Ex_getitem(Ex &ex, int index)
{
Ex::iterator it = ex.begin();
size_t num = ex.number_of_children(it);
if (index >= 0 && (size_t)index < num)
return Ex(ex.child(it, index));
else {
// if(num==0 && index==0) {
// std::cerr << "returning " << ex << std::endl;
// return Ex(ex);
// }
// else
throw ArgumentException("index " + std::to_string(index) + " out of range, must be smaller than " + std::to_string(num));
}
}
void Ex_setitem(Ex_ptr ex, int index, Ex val)
{
Ex::iterator it = ex->begin();
size_t num = ex->number_of_children(it);
if (index >= 0 && (size_t)index < num)
ex->replace(ex->child(it, index), val.begin());
else
throw ArgumentException("index " + std::to_string(index) + " out of range, must be smaller than " + std::to_string(num));
}
void Ex_setitem_iterator(Ex_ptr ex, ExNode en, Ex_ptr val)
{
Ex::iterator use;
if (en.ex != ex) {
// std::cerr << "Setitem need to convert iterator of" << std::endl;
// std::cerr << en.it << std::endl;
// std::cerr << "in " << en.topit << std::endl;
// std::cerr << "of " << en.ex->begin() << std::endl;
auto path = en.ex->path_from_iterator(en.it, en.topit);
// for(auto v: path)
// std::cerr << v << std::endl;
// std::cerr << "for " << ex->begin() << std::endl;
use = ex->iterator_from_path(path, ex->begin());
// std::cerr << "which is " << use << std::endl;
}
else {
use = en.it;
}
Ex::iterator top = val->begin();
if (*top->name == "")
top = val->begin(top);
ex->replace_index(use, top, true);
}
size_t Ex_len(Ex_ptr ex)
{
Ex::iterator it = ex->begin();
return ex->number_of_children(it);
}
long Ex_int_cast(Ex_ptr ex)
{
return ex->to_integer(); // this will throw an exception if the object is not integer
}
std::string Ex_head(Ex_ptr ex)
{
if (ex->begin() == ex->end())
throw ArgumentException("Expression is empty, no head.");
return *ex->begin()->name;
}
pybind11::object Ex_get_mult(Ex_ptr ex)
{
if (ex->begin() == ex->end())
throw ArgumentException("Expression is empty, no head.");
pybind11::object mpq = pybind11::module::import("gmpy2").attr("mpq");
auto m = *ex->begin()->multiplier;
// return mpq(2,3);
pybind11::object mult = mpq(m.get_num().get_si(), m.get_den().get_si());
return mult;
}
pybind11::list terms(Ex_ptr ex)
{
Ex::iterator it = ex->begin();
if (*it->name != "\\sum")
throw ArgumentException("terms() expected a sum expression.");
pybind11::list ret;
auto sib = ex->begin(it);
while (sib != ex->end(it)) {
ret.append(Ex(sib));
++sib;
}
return ret;
}
std::shared_ptr<sympy::SympyBridge> SympyBridge_init(std::shared_ptr<Ex> ex)
{
auto sb = std::make_shared<sympy::SympyBridge>(*get_kernel_from_scope(), ex);
return sb;
}
Ex_ptr Ex_from_string(const std::string& ex_, bool, Kernel *kernel)
{
if (kernel == nullptr)
kernel = get_kernel_from_scope();
auto ptr = std::make_shared<Ex>();
// Parse the string expression.
Parser parser(ptr);
std::stringstream str(ex_);
try {
str >> parser;
}
catch (std::exception& except) {
for(size_t i=0; i<ex_.size(); ++i)
std::cerr << static_cast<int>(static_cast<uint8_t>(ex_[i])) << " ";
std::cerr << std::endl;
throw ParseException(std::string("Cannot parse: ")+except.what());
}
parser.finalise();
// First pull in any expressions referred to with @(...) notation, because the
// full expression may not have consistent indices otherwise.
pull_in(ptr, kernel);
// std::cerr << "pulled in" << std::endl;
// Basic cleanup of rationals and subtractions, followed by
// cleanup of nested sums and products.
pre_clean_dispatch_deep(*kernel, *ptr);
cleanup_dispatch_deep(*kernel, *ptr);
check_index_consistency(*kernel, *ptr, (*ptr).begin());
call_post_process(*kernel, ptr);
// std::cerr << "cleaned up" << std::endl;
// Now run all embedded python functions.
run_python_functions(ptr, kernel);
return ptr;
}
Ex_ptr Ex_from_int(int num, bool)
{
auto ptr = std::make_shared<Ex>(num);
return ptr;
}
void call_post_process(Kernel& kernel, Ex_ptr ex)
{
// Find the 'post_process' function, and if found, turn off
// post-processing, then call the function on the current Ex.
if (post_process_enabled) {
if (ex->number_of_children(ex->begin()) == 0)
return;
post_process_enabled = false;
pybind11::object post_process;
auto locals = get_locals();
if (scope_has(locals, "post_process")) {
post_process = locals["post_process"];
}
else {
auto globals = get_globals();
if (scope_has(globals, "post_process"))
post_process = globals["post_process"];
}
if (post_process) {
// std::cerr << "calling post-process" << std::endl;
post_process(std::ref(kernel), ex);
}
post_process_enabled = true;
}
}
void Ex_cleanup(Ex_ptr ex)
{
Kernel* kernel = get_kernel_from_scope();
pre_clean_dispatch_deep(*kernel, *ex);
cleanup_dispatch_deep(*kernel, *ex);
check_index_consistency(*kernel, *ex, (*ex).begin());
call_post_process(*kernel, ex);
}
Ex_ptr map_sympy_wrapper(Ex_ptr ex, std::string head, pybind11::args args)
{
std::vector<std::string> av;
for (auto& arg : args)
av.push_back(arg.cast<std::string>());
return apply_algo_preorder<map_sympy, std::string, std::vector<std::string>>(ex, head, av, false, false, 0);
}
void init_ex(py::module& m)
{
pybind11::enum_<str_node::parent_rel_t>(m, "parent_rel_t")
.value("sub", str_node::parent_rel_t::p_sub)
.value("super", str_node::parent_rel_t::p_super)
.value("none", str_node::parent_rel_t::p_none)
.export_values()
;
pybind11::enum_<Ex_comparator::match_t>(m, "match_t")
.value("node_match", Ex_comparator::match_t::node_match)
.value("subtree_match", Ex_comparator::match_t::subtree_match)
.value("match_index_less", Ex_comparator::match_t::match_index_less)
.value("match_index_greater", Ex_comparator::match_t::match_index_greater)
.value("no_match_indexpos_less", Ex_comparator::match_t::no_match_indexpos_less)
.value("no_match_indexpos_greater", Ex_comparator::match_t::no_match_indexpos_greater)
.value("no_match_less", Ex_comparator::match_t::no_match_less)
.value("no_match_greater", Ex_comparator::match_t::no_match_greater);
pybind11::class_<Ex, Ex_ptr >(m, "Ex")
.def(py::init(&Ex_from_string), py::arg("input_form"), py::arg("make_ref") = true, py::arg("kernel") = nullptr)
.def(py::init(&Ex_from_int), py::arg("num"), py::arg("make_ref") = true)
.def("__str__", &Ex_as_str)
.def("_latex_", &Ex_as_latex)
.def("__repr__", &Ex_as_repr)
.def("__eq__", static_cast<bool(*)(Ex_ptr, Ex_ptr)>(&Ex_compare))
.def("__eq__", static_cast<bool(*)(Ex_ptr, int)>(&Ex_compare))
.def("_sympy_", &Ex_as_sympy)
.def("sympy_form", &Ex_as_sympy_string)
.def("mma_form", &Ex_as_MMA, pybind11::arg("unicode") = true) // standardize on this
.def("input_form", &Ex_as_input)
.def("__getitem__", &Ex_getitem)
.def("__getitem__", &Ex_getitem_string)
.def("__getitem__", &Ex_getitem_iterator)
.def("__getitem__", &Ex_getslice)
.def("__setitem__", &Ex_setitem)
.def("__setitem__", &Ex_setitem_iterator)
.def("__len__", &Ex_len)
.def("__int__", &Ex_int_cast)
.def("head", &Ex_head)
.def("mult", &Ex_get_mult)
.def("__iter__", &Ex_iter)
.def("top", &Ex_top)
.def("matches", &Ex_matches)
.def("matches", &Ex_matches_Ex)
.def("state", &Ex::state)
.def("reset", &Ex::reset_state)
.def("copy", [](const Ex& ex) { return std::make_shared<Ex>(ex); })
.def("changed", &Ex::changed_state)
.def("cleanup", &Ex_cleanup)
.def("__hash__", [](const Ex& ex) { return ex.calc_hash(ex.begin()); })
.def("__add__", static_cast<Ex_ptr(*)(const Ex_ptr, const ExNode)>(&Ex_add), py::is_operator{})
.def("__add__", static_cast<Ex_ptr(*)(const Ex_ptr, const Ex_ptr)>(&Ex_add), py::is_operator{})
.def("__sub__", static_cast<Ex_ptr(*)(const Ex_ptr, const ExNode)>(&Ex_sub), py::is_operator{})
.def("__sub__", static_cast<Ex_ptr(*)(const Ex_ptr, const Ex_ptr)>(&Ex_sub), py::is_operator{})
.def("__mul__", static_cast<Ex_ptr(*)(const Ex_ptr, const Ex_ptr)>(&Ex_mul), py::is_operator{})
.def(py::pickle(
[](const Ex_ptr& ex) { return py::make_tuple(Ex_as_input(ex)); },
[](py::tuple t) { return Ex_from_string(t[0].cast<std::string>(), true, get_kernel_from_scope()); }
));
pybind11::class_<ExNode>(m, "ExNode", "Iterator over elements of an Ex mathematical expression.")
.def("__iter__", &ExNode::iter)
.def("__next__", &ExNode::next, pybind11::return_value_policy::reference_internal)
.def("__getitem__", &ExNode::getitem_string)
.def("__getitem__", &ExNode::getitem_iterator)
.def("__setitem__", &ExNode::setitem_string)
.def("__setitem__", &ExNode::setitem_iterator)
.def("_latex_", &ExNode::_latex_)
.def("__str__", &ExNode::__str__)
.def("terms", &ExNode::terms, "Return an ExNode iterator over all terms at the level of the current ExNode.")
.def("factors", &ExNode::factors, "Return an ExNode iterator over all factors at the level of the current ExNode.")
.def("own_indices", &ExNode::own_indices, "Return an ExNode iterator over all indices which are not inherited from child nodes.")
.def("indices", &ExNode::indices, "Return an ExNode iterator over all indices.")
.def("free_indices", &ExNode::free_indices, "Return an ExNode iterator over all free indices.")
.def("args", &ExNode::args)
.def("children", &ExNode::children)
.def("replace", &ExNode::replace, "Replace the node pointed to by ExNode with the given Ex.")
.def("insert", &ExNode::insert, "Insert the given Ex in front of the node pointed to by the ExNode.")
.def("insert", &ExNode::insert_it, "Insert the node pointed to by the given ExNode in front of the ExNode.")
.def("append_child", &ExNode::append_child, "Append the given Ex as a child of the node pointed to by the ExNode.")
.def("append_child", &ExNode::append_child_it, "Append the node pointed to by the given ExNode as a child of the node pointed to by the ExNode.")
.def("erase", &ExNode::erase, "Erase the node pointed to by the ExNode.")
.def("ex", &ExNode::get_ex, "Obtain a copy of the node pointed to by the ExNode.")
.def("compare", &ExNode_compare,
py::arg("other"), py::arg("use_props") = "always", py::arg("ignore_parent_rel") = false)
.def_property("name", &ExNode::get_name, &ExNode::set_name, "Set the name property of the node pointed to by the ExNode.")
.def_property("parent_rel", &ExNode::get_parent_rel, &ExNode::set_parent_rel)
.def_property("multiplier", &ExNode::get_multiplier, &ExNode::set_multiplier)
.def("__add__", [](ExNode a, Ex_ptr b) {
return a.add_ex(b);
}, pybind11::is_operator{});
pybind11::class_<sympy::SympyBridge, std::shared_ptr<sympy::SympyBridge> >(m, "SympyBridge")
.def(py::init(&SympyBridge_init))
.def("to_sympy", &sympy::SympyBridge::export_ex)
.def("from_sympy", &sympy::SympyBridge::import_ex)
;
m.def("join", &Ex_join);
m.def("tree", &print_tree);
m.def("map_sympy", &map_sympy_wrapper,
pybind11::arg("ex"),
pybind11::arg("function") = "",
pybind11::return_value_policy::reference_internal);
#ifdef MATHEMATICA_FOUND
def_algo<map_mma, std::string>(m, "map_mma", false, false, 0, pybind11::arg("function") = "");
#endif
m.def("terms", &terms);
m.def("lhs", &lhs);
m.def("rhs", &rhs);
}
}
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