gnuplotpp/examples/stats_plot_examples.cpp at main · watsonryan/gnuplotpp · GitHub

History

397 lines (368 loc) · 13.8 KB

Raw

100

101

102

103

104

105

106

107

108

109

110

111

112

113

114

115

116

117

118

119

120

121

122

123

124

125

126

127

128

129

130

131

132

133

134

135

136

137

138

139

140

141

142

143

144

145

146

147

148

149

150

151

152

153

154

155

156

157

158

159

160

161

162

163

164

165

166

167

168

169

170

171

172

173

174

175

176

177

178

179

180

181

182

183

184

185

186

187

188

189

190

191

192

193

194

195

196

197

198

199

200

201

202

203

204

205

206

207

208

209

210

211

212

213

214

215

216

217

218

219

220

221

222

223

224

225

226

227

228

229

230

231

232

233

234

235

236

237

238

239

240

241

242

243

244

245

246

247

248

249

250

251

252

253

254

255

256

257

258

259

260

261

262

263

264

265

266

267

268

269

270

271

272

273

274

275

276

277

278

279

280

281

282

283

284

285

286

287

288

289

290

291

292

293

294

295

296

297

298

299

300

301

302

303

304

305

306

307

308

309

310

311

312

313

314

315

316

317

318

319

320

321

322

323

324

325

326

327

328

329

330

331

332

333

334

335

336

337

338

339

340

341

342

343

344

345

346

347

348

349

350

351

352

353

354

355

356

357

358

359

360

361

362

363

364

365

366

367

368

369

370

371

372

373

374

375

376

377

378

379

380

381

382

383

384

385

386

387

388

389

390

391

392

393

394

395

396

397

#include "example_common.hpp"

#include "gnuplotpp/plot.hpp"

#include "gnuplotpp/presets.hpp"

#include "gnuplotpp/statistics.hpp"

#include <algorithm>

#include <cmath>

#include <filesystem>

#include <iomanip>

#include <random>

#include <sstream>

#include <string>

#include <vector>

namespace {

gnuplotpp::FigureSpec make_spec(const std::string& title) {

using namespace gnuplotpp;

FigureSpec fs;

fs.preset = Preset::Custom;

apply_preset_defaults(fs);

apply_style_profile(fs, StyleProfile::Tufte_Minimal);

fs.size = FigureSizeInches{.w = 5.4, .h = 3.8};

fs.title = title;

fs.text_mode = TextMode::Enhanced;

fs.formats = {OutputFormat::Pdf, OutputFormat::Png, OutputFormat::Svg};

fs.font_fallbacks = {"Arial", "Nimbus Sans", "DejaVu Sans", "Helvetica"};

fs.panel_labels = false;

fs.caption.clear();

fs.auto_layout = true;

return fs;

}

} // namespace

int main(int argc, char** argv) {

using namespace gnuplotpp;

const std::filesystem::path out_root =

example_common::parse_out_dir(argc, argv, "out/stats_plot_examples");

std::filesystem::create_directories(out_root);

std::mt19937_64 rng(1234ULL);

std::normal_distribution<double> nrm(0.2, 0.85);

std::vector<double> samples(1000);

for (double& s : samples) {

s = nrm(rng);

}

// 1) QQ plot

{

auto fs = make_spec("Q-Q Plot vs Normal");

Figure fig(fs);

AxesSpec ax;

ax.title = "Normal Q-Q Plot";

ax.xlabel = "Theoretical Quantile";

ax.ylabel = "Sample Quantile";

ax.grid = true;

ax.legend = true;

ax.legend_spec.position = LegendPosition::TopLeft;

ax.legend_spec.boxed = true;

ax.legend_spec.opaque = true;

ax.legend_spec.has_font_pt = true;

ax.legend_spec.font_pt = 13.0;

ax.has_xtick_step = true;

ax.xtick_step = 1.0;

ax.has_ytick_step = true;

ax.ytick_step = 1.0;

fig.axes(0).set(ax);

std::vector<double> q_theory, q_sample;

qq_plot_normal(samples, q_theory, q_sample);

fig.axes(0).add_series(SeriesSpec{.type = SeriesType::Scatter,

.label = "Samples",

.has_color = true,

.color = "#1f77b4"},

q_theory,

q_sample);

const auto [x_min_it, x_max_it] = std::minmax_element(q_theory.begin(), q_theory.end());

const auto [y_min_it, y_max_it] = std::minmax_element(q_sample.begin(), q_sample.end());

const double min_axis = std::min(*x_min_it, *y_min_it);

const double max_axis = std::max(*x_max_it, *y_max_it);

const double pad = 0.12 * (max_axis - min_axis);

ax.has_xlim = true;

ax.xmin = min_axis - pad;

ax.xmax = max_axis + pad;

ax.has_ylim = true;

ax.ymin = min_axis - pad;

ax.ymax = max_axis + pad;

fig.axes(0).set(ax);

std::vector<double> x_line{min_axis - pad, max_axis + pad};

std::vector<double> y_line{min_axis - pad, max_axis + pad};

fig.axes(0).add_series(

SeriesSpec{.label = "Reference (y = x)",

.has_line_width = true,

.line_width_pt = 2.4,

.has_color = true,

.color = "#d95f02"},

x_line,

y_line);

if (example_common::render_figure(fig, out_root / "qq_plot" / "figures") != 0) return 1;

}

// 2) Violin profile

{

auto fs = make_spec("Violin Profile");

Figure fig(fs);

AxesSpec ax;

ax.title = "Violin Density Profile";

ax.xlabel = "Relative Density Width";

ax.ylabel = "Value";

ax.grid = true;

ax.legend = false;

ax.has_xlim = true;

ax.xmin = -1.05;

ax.xmax = 1.05;

ax.has_ylim = true;

ax.ymin = -2.6;

ax.ymax = 3.2;

ax.has_xtick_step = true;

ax.xtick_step = 0.25;

fig.axes(0).set(ax);

std::vector<double> y_grid, half_w;

violin_profile(samples, y_grid, half_w, 180);

const auto summary = box_summary(samples);

std::vector<double> x_l(half_w.size()), x_r(half_w.size());

for (std::size_t i = 0; i < half_w.size(); ++i) {

x_l[i] = -half_w[i];

x_r[i] = half_w[i];

}

std::ostringstream fill_poly;

fill_poly << std::fixed << std::setprecision(6);

fill_poly << "set object 20 polygon from ";

for (std::size_t i = 0; i < y_grid.size(); ++i) {

fill_poly << x_l[i] << "," << y_grid[i] << " to ";

}

for (std::size_t i = y_grid.size(); i > 0; --i) {

const std::size_t j = i - 1;

fill_poly << x_r[j] << "," << y_grid[j];

if (j > 0) {

fill_poly << " to ";

}

fill_poly << " fs transparent solid 0.32 fc rgb '#6aaed6' front";

ax.gnuplot_commands = {

fill_poly.str(),

"set arrow 20 from -0.30," + std::to_string(summary.q1) + " to 0.30," +

std::to_string(summary.q1) + " nohead lw 1.5 lc rgb '#1f1f1f' dt 2 front",

"set arrow 21 from -0.36," + std::to_string(summary.median) + " to 0.36," +

std::to_string(summary.median) + " nohead lw 2.0 lc rgb '#1f1f1f' front",

"set arrow 22 from -0.30," + std::to_string(summary.q3) + " to 0.30," +

std::to_string(summary.q3) + " nohead lw 1.5 lc rgb '#1f1f1f' dt 2 front"};

fig.axes(0).set(ax);

fig.axes(0).add_series(SeriesSpec{.label = "left",

.has_line_width = true,

.line_width_pt = 2.3,

.has_color = true,

.color = "#2c7fb8"},

x_l,

y_grid);

fig.axes(0).add_series(SeriesSpec{.label = "right",

.has_line_width = true,

.line_width_pt = 2.3,

.has_color = true,

.color = "#2c7fb8"},

x_r,

y_grid);

std::vector<double> x_obs;

std::vector<double> y_obs;

x_obs.reserve(350);

y_obs.reserve(350);

std::uniform_real_distribution<double> x_jitter(-0.05, 0.05);

for (int i = 0; i < 350; ++i) {

x_obs.push_back(x_jitter(rng));

y_obs.push_back(samples[static_cast<std::size_t>(i)]);

}

fig.axes(0).add_series(

SeriesSpec{.type = SeriesType::Scatter,

.label = "",

.has_color = true,

.color = "#2f2f2f",

.has_opacity = true,

.opacity = 0.45},

x_obs,

y_obs);

if (example_common::render_figure(fig, out_root / "violin_profile" / "figures") != 0) return 1;

}

// 3) Box summary + sample points

{

auto fs = make_spec("Box Summary");

Figure fig(fs);

AxesSpec ax;

ax.title = "Box Summary (Tukey)";

ax.xlabel = "Group";

ax.ylabel = "Value";

ax.grid = true;

ax.legend = false;

ax.has_xlim = true;

ax.xmin = 0.7;

ax.xmax = 1.3;

ax.has_xtick_step = true;

ax.xtick_step = 0.1;

fig.axes(0).set(ax);

const auto box = box_summary(samples);

const auto [smin_it, smax_it] = std::minmax_element(samples.begin(), samples.end());

const double ypad = 0.10 * (*smax_it - *smin_it);

ax.has_ylim = true;

ax.ymin = *smin_it - ypad;

ax.ymax = *smax_it + ypad;

ax.gnuplot_commands = {"set xtics ('Sample A' 1.0) font 'Helvetica,13'"};

fig.axes(0).set(ax);

std::vector<double> x_pts;

std::vector<double> y_pts;

x_pts.reserve(300);

y_pts.reserve(300);

std::uniform_real_distribution<double> jitter(-0.045, 0.045);

for (int i = 0; i < 300; ++i) {

x_pts.push_back(1.0 + jitter(rng));

y_pts.push_back(samples[static_cast<std::size_t>(i)]);

}

fig.axes(0).add_series(

SeriesSpec{.type = SeriesType::Scatter,

.label = "",

.has_color = true,

.color = "#4d4d4d",

.has_opacity = true,

.opacity = 0.55},

x_pts,

y_pts);

ax.gnuplot_commands = {

"set xtics ('Sample A' 1.0) font 'Helvetica,13'",

"set object 1 rect from 0.88," + std::to_string(box.q1) + " to 1.12," +

std::to_string(box.q3) + " fc rgb '#4c78a8' fs solid 0.30 border lc rgb '#2f2f2f'",

"set arrow 1 from 0.88," + std::to_string(box.median) + " to 1.12," +

std::to_string(box.median) + " nohead lw 2.0 lc rgb '#1f1f1f'",

"set arrow 2 from 1.0," + std::to_string(box.whisker_low) + " to 1.0," +

std::to_string(box.q1) + " nohead lw 1.5 lc rgb '#1f1f1f'",

"set arrow 3 from 1.0," + std::to_string(box.q3) + " to 1.0," +

std::to_string(box.whisker_high) + " nohead lw 1.5 lc rgb '#1f1f1f'",

"set arrow 4 from 0.95," + std::to_string(box.whisker_low) + " to 1.05," +

std::to_string(box.whisker_low) + " nohead lw 1.5 lc rgb '#1f1f1f'",

"set arrow 5 from 0.95," + std::to_string(box.whisker_high) + " to 1.05," +

std::to_string(box.whisker_high) + " nohead lw 1.5 lc rgb '#1f1f1f'"};

fig.axes(0).set(ax);

if (example_common::render_figure(fig, out_root / "box_summary" / "figures") != 0) return 1;

}

// 4) Confidence ellipse

{

auto fs = make_spec("Confidence Ellipse");

Figure fig(fs);

AxesSpec ax;

ax.title = "1/2/3-Sigma Confidence Ellipses";

ax.xlabel = "x";

ax.ylabel = "y";

ax.grid = true;

ax.legend = true;

ax.legend_spec.position = LegendPosition::TopLeft;

ax.legend_spec.boxed = true;

ax.legend_spec.opaque = true;

ax.legend_spec.has_font_pt = true;

ax.legend_spec.font_pt = 13.0;

fig.axes(0).set(ax);

std::normal_distribution<double> nx(0.0, 1.0);

std::normal_distribution<double> ny(0.0, 0.5);

std::vector<double> x(900), y(900);

for (std::size_t i = 0; i < x.size(); ++i) {

const double vx = nx(rng);

const double vy = ny(rng);

x[i] = vx;

y[i] = 0.55 * vx + vy;

}

fig.axes(0).add_series(SeriesSpec{.type = SeriesType::Scatter,

.label = "Samples",

.has_color = true,

.color = "#4d4d4d",

.has_opacity = true,

.opacity = 0.50},

y);

std::vector<double> ex1, ey1;

std::vector<double> ex2, ey2;

std::vector<double> ex3, ey3;

confidence_ellipse(x, y, 1.0, ex1, ey1, 240);

confidence_ellipse(x, y, 2.0, ex2, ey2, 240);

confidence_ellipse(x, y, 3.0, ex3, ey3, 240);

fig.axes(0).add_series(

SeriesSpec{.label = "1{/Symbol s} ellipse",

.has_line_width = true,

.line_width_pt = 2.0,

.has_color = true,

.color = "#1f77b4"},

ex1,

ey1);

fig.axes(0).add_series(

SeriesSpec{.label = "2{/Symbol s} ellipse",

.has_line_width = true,

.line_width_pt = 2.8,

.has_color = true,

.color = "#e45756"},

ex2,

ey2);

fig.axes(0).add_series(

SeriesSpec{.label = "3{/Symbol s} ellipse",

.has_line_width = true,

.line_width_pt = 2.0,

.has_color = true,

.color = "#2ca02c"},

ex3,

ey3);

if (example_common::render_figure(fig, out_root / "confidence_ellipse" / "figures") != 0) return 1;

}

// 5) Autocorrelation

{

auto fs = make_spec("Autocorrelation");

Figure fig(fs);

AxesSpec ax;

ax.title = "Autocorrelation (Lags 0..60)";

ax.xlabel = "Lag";

ax.ylabel = "\\rho(k)";

ax.grid = true;

ax.legend = true;

ax.legend_spec.position = LegendPosition::TopRight;

ax.legend_spec.boxed = true;

ax.legend_spec.opaque = true;

ax.legend_spec.has_font_pt = true;

ax.legend_spec.font_pt = 13.0;

ax.has_xlim = true;

ax.xmin = -0.5;

ax.xmax = 60.5;

ax.has_ylim = true;

ax.ymin = -0.2;

ax.ymax = 1.05;

ax.has_xtick_step = true;

ax.xtick_step = 10.0;

ax.has_ytick_step = true;

ax.ytick_step = 0.2;

fig.axes(0).set(ax);

std::vector<double> sig(800);

sig[0] = 0.0;

std::normal_distribution<double> wn(0.0, 1.0);

for (std::size_t i = 1; i < sig.size(); ++i) {

sig[i] = 0.86 * sig[i - 1] + 0.25 * wn(rng);

}

const auto ac = autocorrelation(sig, 60);

std::vector<double> lags(ac.size());

for (std::size_t i = 0; i < lags.size(); ++i) lags[i] = static_cast<double>(i);

const double ci = 1.96 / std::sqrt(static_cast<double>(sig.size()));

std::vector<double> ci_pos(ac.size(), ci);

std::vector<double> ci_neg(ac.size(), -ci);

fig.axes(0).add_histogram(

SeriesSpec{.label = "ACF",

.has_color = true,

.color = "#4c78a8",

.has_opacity = true,

.opacity = 0.42,

.has_line_width = true,

.line_width_pt = 1.4},

lags,

ac);

fig.axes(0).add_series(SeriesSpec{.label = "95% bounds",

.has_line_width = true,

.line_width_pt = 2.0,

.has_color = true,

.color = "#d95f02"},

lags,

ci_pos);

fig.axes(0).add_series(SeriesSpec{.label = "",

.has_line_width = true,

.line_width_pt = 2.0,

.has_color = true,

.color = "#d95f02"},

lags,

ci_neg);

if (example_common::render_figure(fig, out_root / "autocorrelation" / "figures") != 0) return 1;

}

gnuplotpp::log::Info("generated stats examples under: ", out_root.string());

return 0;

}

gnuplotpp/examples/stats_plot_examples.cpp at main · watsonryan/gnuplotpp · GitHub

Expand file tree

Breadcrumbs

stats_plot_examples.cpp

Latest commit

History

Breadcrumbs

stats_plot_examples.cpp

File metadata and controls