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output_debug_traces_to_html.h
#ifndef IO_OUTPUT_DEBUG_TRACES_TO_HTML_H_
#define IO_OUTPUT_DEBUG_TRACES_TO_HTML_H_
#ifdef DEBUG_TRACES // All this part of code can be skipped if DEBUG_TRACES are not ON - cmake -DDEBUG_TRACES=ON .
#include <sstream>
#include <fstream>
#include <vector>
#include <list>
#include <string>
#include <regex>
#include <Eigen/Dense>
namespace Gudhi {
namespace coxeter_triangulation {
template <class T>
std::ostream& operator<<(std::ostream& os, const std::vector<T>& vector) {
os << "(";
if (vector.empty()) {
os << ")";
return os;
}
auto v_it = vector.begin();
os << *v_it++;
for (; v_it != vector.end(); ++v_it) os << ", " << *v_it;
os << ")";
return os;
}
/* A class to make the vector horizontal instead of vertical */
struct Straighten {
Straighten(const Eigen::VectorXd& vector) : vector_(vector) {}
const Eigen::VectorXd& vector_;
};
std::ostream& operator<<(std::ostream& os, const Straighten& str) {
std::size_t size = str.vector_.size();
os << "(" << str.vector_(0);
if (size == 0) {
os << ")";
return os;
}
for (std::size_t i = 1; i < size; ++i) os << ", " << str.vector_(i);
os << ")";
return os;
}
std::string id_from_simplex(const std::string& simplex) {
std::regex r("\\s+"), r2("\\(|\\)|\\{|\\}"), r3(","), r4("\\["), r5("\\]");
std::string output = std::regex_replace(simplex, r, "");
output = std::regex_replace(output, r2, ":");
output = std::regex_replace(output, r3, ".");
output = std::regex_replace(output, r4, "_");
output = std::regex_replace(output, r5, "");
return output;
}
template <typename T>
std::string to_string(const T& t) {
std::ostringstream oss;
oss << t;
return oss.str();
}
struct MT_inserted_info {
std::string qr_face_, init_face_, qr_intersection_;
bool qr_success_, is_boundary_;
template <class Query_result, class Simplex_handle>
MT_inserted_info(const Query_result& qr, const Simplex_handle& face, bool is_boundary)
: qr_face_(to_string(face)),
init_face_(to_string(face)),
qr_intersection_(to_string(qr.intersection)),
qr_success_(qr.success),
is_boundary_(is_boundary) {}
};
std::list<MT_inserted_info> mt_seed_inserted_list, mt_inserted_list;
struct CC_summary_info {
std::string face_, cell_;
template <class SC_pair>
CC_summary_info(const SC_pair& sc_pair) : face_(to_string(sc_pair.first)), cell_(to_string(sc_pair.second)) {}
};
using CC_summary_list = std::list<CC_summary_info>;
std::vector<CC_summary_list> cc_interior_summary_lists, cc_boundary_summary_lists;
struct CC_detail_info {
enum class Result_type { self, face, coface, inserted, join_single, join_is_face };
std::string simplex_, trigger_, init_simplex_;
Result_type status_;
bool join_trigger_ = false;
std::list<std::string> faces_, post_faces_, cofaces_;
template <class Simplex_handle>
CC_detail_info(const Simplex_handle& simplex) : simplex_(to_string(simplex)) {}
};
using CC_detail_list = std::list<CC_detail_info>;
std::vector<CC_detail_list> cc_interior_detail_lists, cc_boundary_detail_lists;
std::vector<CC_detail_list> cc_interior_insert_detail_lists, cc_boundary_insert_detail_lists;
struct CC_prejoin_info {
enum class Result_type { join_single, join_is_face, join_different, join_same };
std::string simplex_, join_;
std::vector<std::string> faces_;
std::size_t dimension_;
Result_type status_;
template <class Simplex_handle>
CC_prejoin_info(const Simplex_handle& simplex) : simplex_(to_string(simplex)), dimension_(simplex.dimension()) {}
};
using CC_prejoin_list = std::list<CC_prejoin_info>;
std::vector<CC_prejoin_list> cc_interior_prejoin_lists, cc_boundary_prejoin_lists;
struct CC_join_info {
enum class Result_type { self, face, coface, inserted, join_single, join_is_face };
std::string simplex_, join_, trigger_;
Result_type status_;
std::list<std::string> boundary_faces_;
std::list<std::string> faces_, post_faces_, cofaces_;
template <class Simplex_handle>
CC_join_info(const Simplex_handle& simplex) : simplex_(to_string(simplex)) {}
};
bool join_switch = false;
std::vector<CC_detail_list> cc_interior_join_detail_lists, cc_boundary_join_detail_lists;
std::map<std::string, std::string> cell_vlist_map;
std::map<std::string, std::string> simplex_vlist_map;
std::ostringstream mt_ostream, vis_ostream;
std::vector<std::ostringstream> cc_summary_ostream, cc_traces_ostream;
std::string simplex_format(const std::string& simplex, bool is_boundary) {
std::string b_simplex = (is_boundary ? "B" : "I") + simplex;
std::string tooltiptext;
auto it = simplex_vlist_map.find(b_simplex);
if (it == simplex_vlist_map.end())
tooltiptext = "deleted";
else
tooltiptext = simplex_vlist_map.at(b_simplex);
return (std::string) "<a class=\"" + (is_boundary ? "boundary" : "interior") + "\" href=\"#" +
id_from_simplex(b_simplex) + "\">" + b_simplex + "<span class=\"tooltiptext\">" + tooltiptext + "</span></a>";
}
std::string simplex_format(const std::string& b_simplex) {
bool is_boundary = b_simplex[0] == 'B';
std::string tooltiptext;
auto it = simplex_vlist_map.find(b_simplex);
if (it == simplex_vlist_map.end())
tooltiptext = "deleted";
else
tooltiptext = simplex_vlist_map.at(b_simplex);
return (std::string) "<a class=\"" + (is_boundary ? "boundary" : "interior") + "\" href=\"#" +
id_from_simplex(b_simplex) + "\">" + b_simplex + "<span class=\"tooltiptext\">" + tooltiptext + "</span></a>";
}
void write_head(std::ofstream& ofs) {
ofs << " <head>\n"
<< " <title>Cell complex debug trace</title>\n"
<< " <style>\n"
<< " a.boundary {\n"
<< " position: relative;\n"
<< " display: inline-block;\n"
<< " color: darkred;\n"
<< " background-color: lightgreen\n"
<< " }\n"
<< " a.interior {\n"
<< " position: relative;\n"
<< " display: inline-block;\n"
<< " color: navy;\n"
<< " background-color: yellow\n"
<< " }\n"
<< " .tooltiptext {\n"
<< " visibility: hidden;\n"
<< " width: 120px;\n"
<< " background-color: #555;\n"
<< " color: #fff;\n"
<< " text-align: center;\n"
<< " padding: 5px 0;\n"
<< " border-radius: 6px;\n"
<< " position: absolute;\n"
<< " z-index: 1;\n"
<< " bottom: 125%;\n"
<< " left: 50%;\n"
<< " margin-left: -60px;\n"
<< " opacity: 0;\n"
<< " transition: opacity 0.3s;\n"
<< " }\n"
<< " .boundary .tooltiptext::after {\n"
<< " content: \"\";\n"
<< " position: absolute;\n"
<< " top: 100%;\n"
<< " left: 50%;\n"
<< " margin-left: -5px;\n"
<< " border-width: 5px;\n"
<< " border-style: solid;\n"
<< " border-color: #555 transparent transparent transparent;\n"
<< " }\n"
<< " .interior .tooltiptext::after {\n"
<< " content: \"\";\n"
<< " position: absolute;\n"
<< " top: 100%;\n"
<< " left: 50%;\n"
<< " margin-left: -5px;\n"
<< " border-width: 5px;\n"
<< " border-style: solid;\n"
<< " border-color: #555 transparent transparent transparent;\n"
<< " }\n"
<< " .boundary:hover .tooltiptext {\n"
<< " visibility: visible;\n"
<< " opacity: 1;\n"
<< " }\n"
<< " .interior:hover .tooltiptext {\n"
<< " visibility: visible;\n"
<< " opacity: 1;\n"
<< " }\n"
<< " ul.nav {\n"
<< " list-style-type: none;\n"
<< " margin: 0;\n"
<< " padding: 0;\n"
<< " overflow: auto;\n"
<< " background-color: #333;\n"
<< " position: fixed;\n"
<< " height: 100%;\n"
<< " width: 15%;\n"
<< " }\n"
<< " ul.nav li a {\n"
<< " display: block;\n"
<< " color: white;\n"
<< " text-align: left;\n"
<< " padding: 14px 16px;\n"
<< " text-decoration: none;\n"
<< " }\n"
<< " .active {\n"
<< " background-color: #4CAF50;\n"
<< " }\n"
<< " div {\n"
<< " margin-left: 15%;\n"
<< " padding: 1px 16px\n"
<< " }\n"
<< " div.navi {\n"
<< " margin-left: 0%;\n"
<< " padding: 0px 0px\n"
<< " }\n"
<< " h1 {\n"
<< " margin-left: 15%;\n"
<< " padding: 1px 16px\n"
<< " }\n"
<< " </style>\n"
<< " </head>\n";
}
void write_nav(std::ofstream& ofs) {
ofs << " <div class=\"navi\" style=\"margin-top:30px;background-color:#1abc9c;\">\n"
<< " <ul class=\"nav\">\n"
<< " <li><a href=\"#mant\">Manifold tracing</a></li>\n"
<< " <li><a href=\"#cell\">Cell complex</a>\n"
<< " <ul>\n";
for (std::size_t i = 0; i < cc_interior_summary_lists.size(); ++i) {
ofs << " <li><a href=\"#dim" << i << "\">Dimension " << i << "</a>\n";
ofs << " <ul>\n";
ofs << " <li><a href=\"#dim" << i << "i\">Interior</a></li>\n";
if (i < cc_boundary_summary_lists.size()) {
ofs << " <li><a href=\"#dim" << i << "b\">Boundary</a></li>\n";
}
ofs << " </ul>\n";
ofs << " </li>\n";
}
ofs << " </ul>\n"
<< " </li>\n"
<< " <li><a href=\"#visu\">Visualization details</a></li>\n"
<< " </ul>\n"
<< " </div>\n";
}
void write_mt(std::ofstream& ofs) {
ofs << " <div id=\"mant\">\n";
ofs << " <h2> Manifold debug trace </h2>\n";
ofs << " <h3> Simplices inserted during the seed phase </h3>\n";
ofs << " <ul>\n";
for (const MT_inserted_info& mt_info : mt_seed_inserted_list) {
if (mt_info.qr_success_) {
ofs << " <li>Inserted " << simplex_format(mt_info.qr_face_, mt_info.is_boundary_);
if (mt_info.qr_face_ != mt_info.init_face_)
ofs << " (initially " << simplex_format(mt_info.init_face_, mt_info.is_boundary_) << ")";
ofs << " intersection point is " << mt_info.qr_intersection_ << "</li>\n";
} else
ofs << " <li>Failed to insert " << mt_info.init_face_ << "</li>\n";
}
ofs << " </ul>\n";
ofs << " <h3> Simplices inserted during the while loop phase </h3>\n";
ofs << " <ul>\n";
for (const MT_inserted_info& mt_info : mt_inserted_list) {
if (mt_info.qr_success_) {
ofs << " <li>Inserted " << simplex_format(mt_info.qr_face_, mt_info.is_boundary_);
if (mt_info.qr_face_ != mt_info.init_face_)
ofs << " (initially " << simplex_format(mt_info.init_face_, mt_info.is_boundary_) << ")";
ofs << " intersection point is " << mt_info.qr_intersection_ << "</li>\n";
} else
ofs << " <li>Failed to insert " << mt_info.init_face_ << ")</li>\n";
}
ofs << " </ul>\n";
ofs << " </div>\n";
}
void write_cc(std::ofstream& ofs) {
ofs << " <div id=\"cell\">\n"
<< " <h2> Cell complex debug trace </h2>\n"
<< " <p>Go to:</p>\n"
<< " <ul>\n";
for (std::size_t i = 0; i < cc_interior_summary_lists.size(); ++i) {
ofs << " <li><a href=\"#dim" << i << "\">Dimension " << i << "</a></li>\n";
}
ofs << " </ul>\n";
for (std::size_t i = 0; i < cc_interior_summary_lists.size(); ++i) {
ofs << " <h3 id=\"dim" << i << "\"> Dimension " << i << "</h3>\n";
ofs << " <h4 id=\"dim" << i << "i\"> Summary for interior simplices</h4>\n";
if (i < cc_boundary_summary_lists.size()) ofs << " <p><a href=\"#dim" << i << "b\">Go to boundary</a></p>\n";
ofs << " <ul>\n";
for (const CC_summary_info& cc_info : cc_interior_summary_lists[i])
ofs << " <li id = \"" << id_from_simplex("I" + cc_info.face_) << "\">"
<< simplex_format(cc_info.face_, false) << " cell =" << cc_info.cell_ << "</li>\n";
ofs << " </ul>\n";
ofs << " <h4> Prejoin state of the interior cells of dimension " << i << "</h4>\n";
auto prejoin_it = cc_interior_prejoin_lists[i].begin();
while (prejoin_it != cc_interior_prejoin_lists[i].end()) {
std::size_t j = prejoin_it->dimension_;
ofs << " <h5>" << j << "-dimensional ambient simplices</h5>\n";
ofs << " <ul>\n";
for (; prejoin_it->dimension_ == j; ++prejoin_it) {
ofs << " <li>" << simplex_format(prejoin_it->simplex_, false)
<< " join = " << simplex_format(prejoin_it->join_, false) << " boundary:\n"
<< " <ul>\n";
for (const auto& face : prejoin_it->faces_) ofs << " <li>" << simplex_format(face) << "</li>";
ofs << " </ul>\n";
switch (prejoin_it->status_) {
case (CC_prejoin_info::Result_type::join_single):
ofs << " <p style=\"color: red\">Deleted " << simplex_format(prejoin_it->simplex_, false)
<< " as it has a single face.</p>";
break;
case (CC_prejoin_info::Result_type::join_is_face):
ofs << " <p style=\"color: red\">Deleted " << simplex_format(prejoin_it->simplex_, false)
<< " as its join " << simplex_format(prejoin_it->join_, false) << " is one of the faces.</p>";
break;
case (CC_prejoin_info::Result_type::join_different):
ofs << " <p style=\"color: magenta\">Deleted " << simplex_format(prejoin_it->simplex_, false)
<< " and replaced by its join " << simplex_format(prejoin_it->join_, false) << ".</p>";
break;
case (CC_prejoin_info::Result_type::join_same):
ofs << " <p style=\"color: green\">Kept " << simplex_format(prejoin_it->simplex_, false)
<< ".</p>";
}
ofs << " </li>";
}
ofs << " </ul>\n";
}
ofs << " <h4> Details for interior simplices</h4>\n";
ofs << " <ul>\n";
for (const CC_detail_info& cc_info : cc_interior_detail_lists[i]) {
if (cc_info.status_ == CC_detail_info::Result_type::join_single) {
ofs << " <li style=\"color:magenta\" id = \"" << id_from_simplex("I" + cc_info.simplex_)
<< "\"> Simplex " << simplex_format(cc_info.simplex_, false) << " has only one face ("
<< simplex_format(cc_info.trigger_, false) << ") and is deleted.";
continue;
}
if (cc_info.status_ == CC_detail_info::Result_type::join_single) {
ofs << " <li style=\"color:darkmagenta\" id = \"" << id_from_simplex("I" + cc_info.simplex_)
<< "\"> The join of the simplex " << simplex_format(cc_info.simplex_, false) << " is one of its faces ("
<< simplex_format(cc_info.trigger_, false) << "), hence it is is deleted.";
continue;
}
ofs << " <li> Insert_cell called for " << simplex_format(cc_info.simplex_, false) << "\n";
ofs << " <ul>\n";
// for (const std::string& cof: cc_info.faces_)
// ofs << " <li>Checking if " << simplex_format(cc_info.simplex_, false)
// << " is a face of " << simplex_format(cof, false) << "\n";
ofs << " </ul>\n";
ofs << " <ul>\n";
if (cc_info.status_ == CC_detail_info::Result_type::self) {
ofs << " <p><span style=\"color:blue\">The simplex " << simplex_format(cc_info.simplex_, false)
<< " already exists in the cell complex!</span></p>\n";
}
if (cc_info.status_ == CC_detail_info::Result_type::face) {
ofs << " <p><span style=\"color:red\">The simplex " << simplex_format(cc_info.simplex_, false)
<< " is a face of the simplex " << simplex_format(cc_info.trigger_, false) << "!</span><br>\n";
ofs << " <ul>\n";
for (const std::string post_face : cc_info.post_faces_)
ofs << " <li id = \"" << id_from_simplex("I" + post_face) << "\">"
<< "Post deleting " << simplex_format(post_face, false) << "</li>\n";
ofs << " </ul>\n";
ofs << " </p>\n";
ofs << " <p id = \"" << id_from_simplex("I" + cc_info.trigger_) << "\">"
<< "Deleting " << simplex_format(cc_info.trigger_, false) << "</p>\n";
}
// for (const std::string& fac: cc_info.cofaces_)
// ofs << " <li>Checking if " << simplex_format(cc_info.simplex_, false)
// << " is a coface of " << simplex_format(fac, false) << "\n";
if (cc_info.status_ == CC_detail_info::Result_type::coface) {
ofs << " <p><span style=\"color:darkorange\">The simplex " << simplex_format(cc_info.simplex_, false)
<< " is a coface of the simplex " << simplex_format(cc_info.trigger_, false) << "!</span><p>\n";
}
if (cc_info.status_ == CC_detail_info::Result_type::inserted) {
ofs << " <p><span style=\"color:green\">Successfully inserted "
<< simplex_format(cc_info.simplex_, false) << "!</span><p>\n";
}
ofs << " </ul>\n";
ofs << " </li>\n";
}
ofs << " </ul>\n";
if (i < cc_boundary_summary_lists.size()) {
ofs << " <h4 id=\"dim" << i << "b\"> Summary for boundary simplices</h4>\n";
ofs << " <p><a href=\"#dim" << i << "i\">Go to interior</a></p>\n";
ofs << " <ul>\n";
for (const CC_summary_info& cc_info : cc_boundary_summary_lists[i])
ofs << " <li id = \"" << id_from_simplex("B" + cc_info.face_) << "\">"
<< simplex_format(cc_info.face_, true) << " cell =" << cc_info.cell_ << "</li>\n";
ofs << " </ul>\n";
ofs << " <h4> Prejoin state of the boundary cells of dimension " << i << "</h4>\n";
auto prejoin_it = cc_boundary_prejoin_lists[i].begin();
while (prejoin_it != cc_boundary_prejoin_lists[i].end()) {
std::size_t j = prejoin_it->dimension_;
ofs << " <h5>" << j << "-dimensional ambient simplices</h5>\n";
ofs << " <ul>\n";
for (; prejoin_it->dimension_ == j; ++prejoin_it) {
ofs << " <li>" << simplex_format(prejoin_it->simplex_, true)
<< " join = " << simplex_format(prejoin_it->join_, true) << " boundary:\n"
<< " <ul>\n";
for (const auto& face : prejoin_it->faces_) ofs << " <li>" << simplex_format(face) << "</li>";
ofs << " </ul>\n";
switch (prejoin_it->status_) {
case (CC_prejoin_info::Result_type::join_single):
ofs << " <p style=\"color: red\">Deleted " << simplex_format(prejoin_it->simplex_, true)
<< " as it has a single face.</p>";
break;
case (CC_prejoin_info::Result_type::join_is_face):
ofs << " <p style=\"color: red\">Deleted " << simplex_format(prejoin_it->simplex_, true)
<< " as its join " << simplex_format(prejoin_it->join_, true) << " is one of the faces.</p>";
break;
case (CC_prejoin_info::Result_type::join_different):
ofs << " <p style=\"color: magenta\">Deleted " << simplex_format(prejoin_it->simplex_, true)
<< " and replaced by its join " << simplex_format(prejoin_it->join_, true) << ".</p>";
break;
case (CC_prejoin_info::Result_type::join_same):
ofs << " <p style=\"color: green\">Kept " << simplex_format(prejoin_it->simplex_, true)
<< ".</p>";
}
ofs << " </li>";
}
ofs << " </ul>\n";
}
}
if (i < cc_boundary_detail_lists.size()) {
ofs << " <h4> Details for boundary simplices</h4>\n"
<< " <ul>\n";
for (const CC_detail_info& cc_info : cc_boundary_detail_lists[i]) {
if (cc_info.status_ == CC_detail_info::Result_type::join_single) {
ofs << " <li style=\"color:magenta\" id = \"" << id_from_simplex("B" + cc_info.simplex_)
<< "\"> Simplex " << simplex_format(cc_info.simplex_, true) << " has only one face ("
<< simplex_format(cc_info.trigger_, true) << ") and is deleted.";
continue;
}
if (cc_info.status_ == CC_detail_info::Result_type::join_single) {
ofs << " <li style=\"color:darkmagenta\" id = \"" << id_from_simplex("B" + cc_info.simplex_)
<< "\"> The join of the simplex " << simplex_format(cc_info.simplex_, true) << " is one of its faces ("
<< simplex_format(cc_info.trigger_, true) << "), hence it is is deleted.";
continue;
}
ofs << " <li> Insert_simplex called on " << simplex_format(cc_info.simplex_, true);
ofs << " <ul>\n";
// for (const std::string& cof: cc_info.faces_)
// ofs << " <li>Checking if " << simplex_format(cc_info.simplex_, true)
// << " is a face of " << simplex_format(cof, true) << "\n";
ofs << " </ul>\n";
ofs << " <ul>\n";
if (cc_info.status_ == CC_detail_info::Result_type::self) {
ofs << " <p><span style=\"color:blue\">The simplex " << simplex_format(cc_info.simplex_, true)
<< " already exists in the cell complex!</span></p>\n";
}
if (cc_info.status_ == CC_detail_info::Result_type::face) {
ofs << " <p><span style=\"color:red\">The simplex " << simplex_format(cc_info.simplex_, true)
<< " is a face of the simplex " << simplex_format(cc_info.trigger_, true) << "!</span><br>\n";
ofs << " <ul>\n";
for (const std::string post_face : cc_info.post_faces_)
ofs << " <li id=\"" << id_from_simplex("B" + post_face) << "\">Post deleting "
<< simplex_format(post_face, true) << "</li>\n";
ofs << " </ul>\n";
ofs << " </p>\n";
ofs << " <p id=\"" << id_from_simplex(cc_info.trigger_) << "\">Deleting "
<< simplex_format(cc_info.trigger_, true) << "</p>\n";
}
// for (const std::string& fac: cc_info.cofaces_)
// ofs << " <li>Checking if " << simplex_format(cc_info.simplex_, true)
// << " is a coface of " << simplex_format(fac, true) << "\n";
ofs << " </ul>\n";
ofs << " </li>\n";
if (cc_info.status_ == CC_detail_info::Result_type::coface) {
ofs << " <p><span style=\"color:darkorange\">The simplex "
<< simplex_format(cc_info.simplex_, true) << " is a coface of the simplex "
<< simplex_format(cc_info.trigger_, true) << "!</span><p>\n";
}
if (cc_info.status_ == CC_detail_info::Result_type::inserted) {
ofs << " <p><span style=\"color:green\">Successfully inserted "
<< simplex_format(cc_info.simplex_, true) << "!</span><p>\n";
}
}
ofs << " </ul>\n";
}
}
ofs << " </div>\n";
}
void write_visu(std::ofstream& ofs) {
ofs << " <div id=\"visu\">\n"
<< " <h2> Visualization details debug trace </h2>\n";
// std::vector<std::map<std::string, std::string> > vs_maps(cc_interior_summary_lists.size());
std::map<std::string, std::string> vs_map;
for (const auto& sv_pair : simplex_vlist_map) vs_map.emplace(sv_pair.second, sv_pair.first);
ofs << " <ul>\n";
for (const auto& vs_pair : vs_map) {
std::string w_simplex = vs_pair.second.substr(1);
bool is_boundary = vs_pair.second[0] == 'B';
ofs << " <li><b>" << vs_pair.first << "</b>: " << simplex_format(w_simplex, is_boundary) << "</li>\n";
}
ofs << " </ul>\n";
ofs << " </div>\n";
}
void write_to_html(std::string file_name) {
std::ofstream ofs(file_name + ".html", std::ofstream::out);
ofs << "<!DOCTYPE html>\n"
<< "<html>\n";
write_head(ofs);
ofs << " <body>\n";
write_nav(ofs);
ofs << " <h1> Debug traces for " << file_name << " </h1>\n";
write_mt(ofs);
write_cc(ofs);
write_visu(ofs);
ofs << " </body>\n";
ofs << "</html>\n";
ofs.close();
}
} // namespace coxeter_triangulation
} // namespace Gudhi
#endif // DEBUG_TRACES
#endif // IO_OUTPUT_DEBUG_TRACES_TO_HTML_H_
Gudhi::coxeter_triangulation::operator<<
std::ostream & operator<<(std::ostream &os, const Permutahedral_representation< Vertex, OrderedSetPartition > &simplex)
Print a permutahedral representation to a stream.
Definition Permutahedral_representation.h:173
Gudhi
Gudhi namespace.
Definition SimplicialComplexForAlpha.h:14