//

// Created by Alan Freitas on 2020-07-07.

//

#include <cmath>

#include <iomanip>

#include <matplot/axes_objects/network.h>

#include <matplot/core/axes_type.h>

#include <matplot/util/common.h>

#include <nodesoup.hpp>

#include <random>

#include <regex>

#include <sstream>

namespace matplot {

network::network(class axes_type *parent) : axes_object(parent) {}

network::network(class axes_type *parent,

const std::vector<std::pair<size_t, size_t>> &edges,

const vector_1d &weights, size_t n_vertices,

const std::string &line_spec)

: axes_object(parent), edges_(edges), weights_(weights),

n_vertices_(n_vertices), line_spec_(this, line_spec) {

line_spec_.marker_face(true);

}

std::vector<line_spec::style_to_plot> network::styles_to_plot() {

return {line_spec::style_to_plot::plot_line_only,

line_spec::style_to_plot::plot_marker_only};

}

std::string network::plot_string() {

maybe_update_line_spec();

maybe_update_graph_layout();

std::string res;

bool first = true;

for (const auto &style : styles_to_plot()) {

if (!first) {

res += ",";

}

const bool we_are_plotting_line =

style == line_spec::style_to_plot::plot_line_only;

const bool line_width_is_variable =

!line_widths_.empty() && z_data_.empty();

const bool we_are_plotting_marker =

style != line_spec::style_to_plot::plot_line_only;

const bool marker_size_is_variable = !marker_sizes_.empty();

const bool color_is_variable = !marker_colors_.empty();

std::string str;

if (we_are_plotting_line && directed_) {

str += " '-' with vectors " +

line_spec_.plot_string(

line_spec::style_to_plot::plot_line_only, false);

} else if (we_are_plotting_line && line_width_is_variable) {

str += " '-' with filledcurves " +

line_spec_.plot_string(

line_spec::style_to_plot::plot_line_only, false);

} else {

str = " '-' " + line_spec_.plot_string(style, true);

}

if (marker_size_is_variable && we_are_plotting_marker) {

str = std::regex_replace(str,

std::regex(" pointsize \\d*\\.?\\d* "),

" pointsize variable ");

}

if (color_is_variable && we_are_plotting_marker) {

str = std::regex_replace(str,

std::regex(" linecolor rgb +[^ ]+ "),

" linecolor palette ");

}

if (use_y2_) {

str += " xlim x1y2";

}

res += str;

if (first) {

first = false;

}

}

if (show_labels_ || !edge_labels_.empty()) {

res += ", '-' with labels left font \"Helvetica,11\" offset char 1";

}

return res;

}

std::string network::legend_string(const std::string &title) {

if (line_spec_.has_line() && line_spec_.has_non_custom_marker()) {

return " keyentry " +

line_spec_.plot_string(

line_spec::style_to_plot::plot_line_and_marker) +

" title \"" + escape(title) + "\"";

} else if (line_spec_.has_line()) {

return " keyentry " +

line_spec_.plot_string(

line_spec::style_to_plot::plot_line_only) +

" title \"" + escape(title) + "\"";

} else {

return " keyentry " +

line_spec_.plot_string(

line_spec::style_to_plot::plot_marker_only) +

" title \"" + escape(title) + "\"";

}

}

std::string network::data_string() {

std::stringstream ss;

bool plot_z_data = z_data_.size() == x_data_.size();

bool line_width_is_variable = !line_widths_.empty() && z_data_.empty();

// plot edges

if (!directed_) {

// when not directed, each edge is a line

for (size_t i = 0; i < edges_.size(); ++i) {

ss << " " << x_data_[edges_[i].first];

if (!line_width_is_variable) {

ss << " " << y_data_[edges_[i].first];

} else {

ss << " "

<< y_data_[edges_[i].first] - line_widths_[i] / 2.;

ss << " "

<< y_data_[edges_[i].first] + line_widths_[i] / 2.;

}

if (plot_z_data) {

ss << " " << z_data_[edges_[i].first];

}

ss << "\n";

ss << " " << x_data_[edges_[i].second];

if (!line_width_is_variable) {

ss << " " << y_data_[edges_[i].second];

} else {

ss << " "

<< y_data_[edges_[i].second] - line_widths_[i] / 2.;

ss << " "

<< y_data_[edges_[i].second] + line_widths_[i] / 2.;

}

if (plot_z_data) {

ss << " " << z_data_[edges_[i].second];

}

ss << "\n\n";

}

ss << "e\n";

} else {

// when directed, each edge is a vector

// for each edge, plot two vectors

// - one from start to middle

// - one from middle to end

for (size_t i = 0; i < edges_.size(); ++i) {

double x1 = x_data_[edges_[i].first];

double y1 = y_data_[edges_[i].first];

double x2 = x_data_[edges_[i].second];

double y2 = y_data_[edges_[i].second];

double xmean = 0.5 * (x1 + x2);

double ymean = 0.5 * (y1 + y2);

double u1 = xmean - x1;

double v1 = ymean - y1;

double u2 = x2 - xmean;

double v2 = y2 - ymean;

if (!plot_z_data) {

ss << " " << x1 << " " << y1 << " " << u1 << " " << v1

<< "\n";

ss << " " << xmean << " " << ymean << " " << u2 << " "

<< v2 << "\n";

} else {

double z1 = z_data_[edges_[i].first];

double z2 = z_data_[edges_[i].second];

double zmean = 0.5 * (z1 + z2);

double w1 = zmean - z1;

double w2 = z2 - zmean;

ss << " " << x1 << " " << y1 << " " << z1 << " " << u1

<< " " << v1 << " " << w1 << "\n";

ss << " " << xmean << " " << ymean << " " << zmean

<< " " << u2 << " " << v2 << " " << w2 << "\n";

}

}

ss << "e\n";

}

// plot vertices

const bool marker_size_is_variable = !marker_sizes_.empty();

const bool marker_color_is_variable = !marker_colors_.empty();

for (size_t i = 0; i < x_data_.size(); ++i) {

ss << " " << x_data_[i];

ss << " " << y_data_[i];

if (plot_z_data) {

ss << " " << z_data_[i];

}

if (marker_size_is_variable) {

ss << " " << marker_sizes_[i];

}

if (marker_color_is_variable) {

ss << " " << marker_colors_[i];

}

ss << "\n";

}

ss << "e\n";

// plot labels

if (show_labels_ || !edge_labels_.empty()) {

if (show_labels_) {

for (size_t i = 0; i < x_data_.size(); ++i) {

ss << " " << x_data_[i];

ss << " " << y_data_[i];

if (plot_z_data) {

ss << " " << z_data_[i];

}

if (node_labels().size() > i) {

ss << " " << std::quoted(node_labels_[i]);

} else {

ss << " " << i;

}

ss << "\n";

}

}

// plot edge labels

if (!edge_labels_.empty()) {

for (size_t i = 0; i < edge_labels_.size(); ++i) {

ss << " "

<< 0.5 * (x_data_[edges_[i].first] +

x_data_[edges_[i].second]);

ss << " "

<< 0.5 * (y_data_[edges_[i].first] +

y_data_[edges_[i].second]);

if (plot_z_data) {

ss << " "

<< 0.5 * (z_data_[edges_[i].first] +

z_data_[edges_[i].second]);

}

ss << " " << std::quoted(edge_labels_[i]);

ss << "\n";

}

}

ss << "e\n";

}

return ss.str();

}

void network::maybe_update_line_spec() {

if (line_spec_.has_line() && !line_spec_.user_color()) {

// if user didn't set the color, get color from xlim

auto c = parent_->get_color_and_bump();

line_spec_.color(c);

} else if (line_spec_.has_non_custom_marker() &&

!line_spec_.user_color() &&

!line_spec_.marker_user_color()) {

auto c = parent_->get_color_and_bump();

line_spec_.marker_color(c);

}

}

void network::maybe_update_graph_layout() {

const bool layout_ready = !x_data_.empty();

if (!layout_ready) {

switch (layout_algorithm_) {

case layout::random:

process_random_layout();

break;

case layout::force:

process_force_layout();

break;

case layout::automatic: {

size_t n_edges = edges_.size();

size_t n_vert = n_vertices();

if (n_vert < 100 && n_edges < 1000) {

process_kawai_layout();

} else {

process_force_layout();

}

}

case layout::kawai:

process_kawai_layout();

break;

case layout::circle:

process_circle_layout();

break;

default:

break;

}

}

}

/// If the user has not provided a list of nodes

/// we assume this is a list from 0 to max(edge)

void network::infer_n_vertices() {

// look for highest edge index

size_t n_vertices = edges_[0].first;

for (const auto &[edge_index_a, edge_index_b] : edges_) {

if (edge_index_a > n_vertices) {

n_vertices = edge_index_a;

}

if (edge_index_b > n_vertices) {

n_vertices = edge_index_b;

}

}

n_vertices_ = n_vertices + 1;

}

size_t network::n_vertices() {

if (n_vertices_ != 0) {

return n_vertices_;

} else {

infer_n_vertices();

return n_vertices_;

}

}

void network::process_random_layout() {

x_data_.clear();

y_data_.clear();

z_data_.clear();

size_t n = n_vertices();

unsigned seed =

std::chrono::system_clock::now().time_since_epoch().count();

std::mt19937 g(seed);

int width = parent_->width() * parent_->parent()->width();

int height = parent_->height() * parent_->parent()->height();

std::uniform_real_distribution<double> dx(0, width);

std::uniform_real_distribution<double> dy(0, height);

for (size_t i = 0; i < n; ++i) {

x_data_.emplace_back(dx(g));

y_data_.emplace_back(dy(g));

}

}

void network::process_force_layout() {

x_data_.clear();

y_data_.clear();

z_data_.clear();

size_t n = n_vertices();

nodesoup::adj_list_t g(n);

for (size_t i = 0; i < edges_.size(); ++i) {

g[edges_[i].first].emplace_back(edges_[i].second);

}

std::vector<double> radiuses = nodesoup::size_radiuses(g);

double k = layout_k_;

if (k == -1.0) {

k = 15.0;

}

int width = parent_->width() * parent_->parent()->width();

int height = parent_->height() * parent_->parent()->height();

int iters_count = layout_iterations_;

if (iters_count == -1) {

iters_count = 300;

}

std::vector<nodesoup::Point2D> positions =

nodesoup::fruchterman_reingold(g, width, height, iters_count, k);

for (size_t i = 0; i < positions.size(); ++i) {

x_data_.emplace_back(positions[i].x);

y_data_.emplace_back(positions[i].y);

}

}

void network::process_circle_layout() {

int previous_layout_iterations = layout_iterations_;

double previous_layout_k = layout_k_;

layout_iterations_ = 0;

layout_k_ = 15.0;

process_force_layout();

layout_iterations_ = previous_layout_iterations;

layout_k_ = previous_layout_k;

}

void network::process_kawai_layout() {

x_data_.clear();

y_data_.clear();

z_data_.clear();

size_t n = n_vertices();

nodesoup::adj_list_t g(n);

for (size_t i = 0; i < edges_.size(); ++i) {

g[edges_[i].first].emplace_back(edges_[i].second);

}

std::vector<double> radiuses = nodesoup::size_radiuses(g);

double k = layout_k_;

if (k == -1.0) {

k = 300.0;

}

int width = parent_->width() * parent_->parent()->width();

int height = parent_->height() * parent_->parent()->height();

nodesoup::iter_callback_t cback = nullptr;

std::vector<nodesoup::Point2D> positions =

nodesoup::kamada_kawai(g, width, height, k, energy_threshold_);

for (size_t i = 0; i < positions.size(); ++i) {

x_data_.emplace_back(positions[i].x);

y_data_.emplace_back(positions[i].y);

}

}

double network::xmax() {

maybe_update_graph_layout();

if (x_data_.empty()) {

if (!y_data_.empty()) {

return y_data_.size() - 1;

} else {

return axes_object::xmax();

}

}

auto [xmin_it, xmax_it] =

std::minmax_element(x_data_.begin(), x_data_.end());

return *xmax_it + 0.1 * (*xmax_it - *xmin_it);

}

double network::xmin() {

maybe_update_graph_layout();

if (x_data_.empty()) {

if (!y_data_.empty()) {

return 0;

} else {

return axes_object::xmin();

}

}

auto [xmin_it, xmax_it] =

std::minmax_element(x_data_.begin(), x_data_.end());

return *xmin_it - 0.1 * (*xmax_it - *xmin_it);

}

double network::ymax() {

maybe_update_graph_layout();

if (y_data_.empty()) {

return axes_object::ymax();

}

auto [ymin_it, ymax_it] =

std::minmax_element(y_data_.begin(), y_data_.end());

return *ymax_it + 0.1 * (*ymax_it - *ymin_it);

}

double network::ymin() {

maybe_update_graph_layout();

if (y_data_.empty()) {

return axes_object::ymin();

}

auto [ymin_it, ymax_it] =

std::minmax_element(y_data_.begin(), y_data_.end());

return *ymin_it - 0.1 * (*ymax_it - *ymin_it);

}

enum axes_object::axes_category network::axes_category() {

if (z_data_.empty()) {

return axes_object::axes_category::two_dimensional;

} else {

return axes_object::axes_category::three_dimensional;

}

}

class network &network::line_style(const std::string &str) {

line_spec_.parse_string(str);

touch();

return *this;

}

const line_spec &network::line_spec() const { return line_spec_; }

line_spec &network::line_spec() { return line_spec_; }

class network &network::line_spec(const class line_spec &line_spec) {

line_spec_ = line_spec;

touch();

return *this;

}

const std::vector<double> &network::y_data() const { return y_data_; }

class network &network::y_data(const std::vector<double> &y_data) {

y_data_ = y_data;

if (!y_data.empty() && parent_->children().size() == 1) {

parent_->y_axis().limits({ymin(), ymax()});

}

touch();

return *this;

}

const std::vector<double> &network::x_data() const { return x_data_; }

class network &network::x_data(const std::vector<double> &x_data) {

x_data_ = x_data;

if (!x_data.empty() && parent_->children().size() == 1) {

parent_->x_axis().limits({xmin(), xmax()});

}

touch();

return *this;

}

const std::vector<double> &network::z_data() const { return z_data_; }

class network &network::z_data(const std::vector<double> &z_data) {

z_data_ = z_data;

if (!z_data.empty() && parent_->children().size() == 1) {

auto [zmin, zmax] = minmax(z_data);

parent_->z_axis().limits({zmin, zmax});

}

touch();

return *this;

}

bool network::visible() const { return visible_; }

class network &network::visible(bool visible) {

visible_ = visible;

touch();

return *this;

}

float network::line_width() const { return line_spec().line_width(); }

class network &network::line_width(float line_width) {

line_spec().line_width(line_width);

return *this;

}

enum line_spec::marker_style network::marker_style() const {

return line_spec().marker();

}

enum line_spec::marker_style network::marker() const {

return line_spec().marker();

}

float network::marker_size() const { return line_spec().marker_size(); }

class network &network::marker_size(float size) {

line_spec().marker_size(size);

return *this;

}

class network &network::marker_size(const std::vector<float> &size_vector) {

marker_sizes_ = size_vector;

touch();

return *this;

}

class network &

network::marker_size(const std::vector<double> &size_vector) {

std::vector<float> size_vector_float(size_vector.begin(),

size_vector.end());

marker_size(size_vector_float);

return *this;

}

bool network::marker_face() const { return line_spec().marker_face(); }

class network &network::marker_face(bool marker_face) {

line_spec().marker_face(marker_face);

return *this;

}

const std::array<float, 4> &network::color() const {

return line_spec().color();

}

const std::array<float, 4> &network::marker_color() const {

return line_spec().marker_color();

}

const std::array<float, 4> &network::marker_face_color() const {

return line_spec().marker_face_color();

}

bool network::use_y2() const { return use_y2_; }

class network &network::use_y2(bool use_y_2) {

use_y2_ = use_y_2;

touch();

return *this;

}

bool network::show_labels() const { return show_labels_; }

class network &network::show_labels(bool v) {

show_labels_ = v;

touch();

return *this;

}

bool network::directed() const { return directed_; }

class network &network::directed(bool v) {

if (v != directed_) {

directed_ = v;

touch();

}

return *this;

}

bool network::use_y_2() const { return use_y2_; }

class network &network::use_y_2(bool use_y_2) {

use_y2_ = use_y_2;

touch();

return *this;

}

const std::vector<std::string> &network::edge_labels() const {

return edge_labels_;

}

class network &

network::edge_labels(const std::vector<std::string> &edge_labels) {

edge_labels_ = edge_labels;

touch();

return *this;

}

const std::vector<std::string> &network::node_labels() const {

return node_labels_;

}

class network &

network::node_labels(const std::vector<std::string> &node_labels) {

node_labels_ = node_labels;

touch();

return *this;

}

const std::vector<double> &network::line_widths() const {

return line_widths_;

}

class network &

network::line_widths(const std::vector<double> &line_widths) {

line_widths_ = line_widths;

touch();

return *this;

}

const std::vector<std::pair<size_t, size_t>> &network::edges() const {

return edges_;

}

class network &

network::edges(const std::vector<std::pair<size_t, size_t>> &edges) {

edges_ = edges;

touch();

return *this;

}

class network &network::n_vertices(size_t n_vertices) {

n_vertices_ = n_vertices;

touch();

return *this;

}

const vector_1d &network::weights() const { return weights_; }

class network &network::weights(const vector_1d &weights) {

weights_ = weights;

touch();

return *this;

}

matplot::network::layout network::layout_algorithm() const {

return layout_algorithm_;

}

class network &

network::layout_algorithm(matplot::network::layout layout_algorithm) {

if (layout_algorithm_ != layout_algorithm) {

layout_algorithm_ = layout_algorithm;

x_data_.clear();

y_data_.clear();

z_data_.clear();

touch();

}

return *this;

}

double network::layout_k() const { return layout_k_; }

class network &network::layout_k(double layout_k) {

if (layout_k_ != layout_k) {

layout_k_ = layout_k;

x_data_.clear();

y_data_.clear();

z_data_.clear();

touch();

}

return *this;

}

int network::layout_iterations() const { return layout_iterations_; }

class network &network::layout_iterations(int layout_iterations) {

if (layout_iterations_ != layout_iterations) {

layout_iterations_ = layout_iterations;

x_data_.clear();

y_data_.clear();

z_data_.clear();

touch();

}

return *this;

}

double network::energy_threshold() const { return energy_threshold_; }

class network &network::energy_threshold(double energy_threshold) {

if (energy_threshold_ != energy_threshold) {

energy_threshold_ = energy_threshold;

x_data_.clear();

y_data_.clear();

z_data_.clear();

touch();

}

return *this;

}

const std::vector<float> &network::marker_sizes() const {

return marker_sizes_;

}

class network &

network::marker_sizes(const std::vector<float> &marker_sizes) {

marker_sizes_ = marker_sizes;

touch();

return *this;

}

const std::vector<double> &network::marker_colors() const {

return marker_colors_;

}

} // namespace matplot