|
| 1 | +""" pyplots.ai |
| 2 | +circos-basic: Circos Plot |
| 3 | +Library: bokeh 3.8.1 | Python 3.13.11 |
| 4 | +Quality: 90/100 | Created: 2025-12-31 |
| 5 | +""" |
| 6 | + |
| 7 | +import numpy as np |
| 8 | +from bokeh.io import export_png, output_file, save |
| 9 | +from bokeh.models import ColumnDataSource |
| 10 | +from bokeh.plotting import figure |
| 11 | + |
| 12 | + |
| 13 | +np.random.seed(42) |
| 14 | + |
| 15 | +# Data: Regional trade flows between economic regions |
| 16 | +regions = ["Asia", "Europe", "N. America", "S. America", "Africa", "Oceania"] |
| 17 | +n_regions = len(regions) |
| 18 | + |
| 19 | +# Connection matrix (trade flows between regions in billions USD) |
| 20 | +# Row = source, Column = target |
| 21 | +flow_matrix = np.array( |
| 22 | + [ |
| 23 | + [0, 45, 52, 18, 15, 22], # Asia exports to... |
| 24 | + [38, 0, 35, 12, 20, 8], # Europe exports to... |
| 25 | + [48, 42, 0, 28, 10, 15], # N. America exports to... |
| 26 | + [15, 18, 25, 0, 8, 5], # S. America exports to... |
| 27 | + [12, 25, 8, 10, 0, 3], # Africa exports to... |
| 28 | + [20, 10, 18, 6, 4, 0], # Oceania exports to... |
| 29 | + ] |
| 30 | +) |
| 31 | + |
| 32 | +# Segment sizes (total trade volume for each region) |
| 33 | +segment_sizes = flow_matrix.sum(axis=0) + flow_matrix.sum(axis=1) |
| 34 | + |
| 35 | +# Track data (GDP growth rate for each region) |
| 36 | +track_values = np.array([4.2, 1.8, 2.5, 1.5, 3.8, 2.2]) |
| 37 | + |
| 38 | +# Color palette for regions |
| 39 | +colors = ["#306998", "#FFD43B", "#E85C47", "#4DAF4A", "#984EA3", "#FF7F00"] |
| 40 | + |
| 41 | +# Calculate segment positions (angles) |
| 42 | +total_size = segment_sizes.sum() |
| 43 | +gap = 0.03 # Gap between segments (radians) |
| 44 | +total_gap = gap * n_regions |
| 45 | +available_angle = 2 * np.pi - total_gap |
| 46 | + |
| 47 | +segment_angles = [] |
| 48 | +current_angle = 0 |
| 49 | +for size in segment_sizes: |
| 50 | + angle_span = (size / total_size) * available_angle |
| 51 | + start = current_angle |
| 52 | + end = current_angle + angle_span |
| 53 | + segment_angles.append((start, end)) |
| 54 | + current_angle = end + gap |
| 55 | + |
| 56 | +# Create figure (square for circular plot) |
| 57 | +p = figure( |
| 58 | + width=3600, |
| 59 | + height=3600, |
| 60 | + title="circos-basic · bokeh · pyplots.ai", |
| 61 | + x_range=(-1.5, 1.5), |
| 62 | + y_range=(-1.5, 1.5), |
| 63 | + tools="", |
| 64 | + toolbar_location=None, |
| 65 | +) |
| 66 | + |
| 67 | +# Styling |
| 68 | +p.title.text_font_size = "48pt" |
| 69 | +p.title.align = "center" |
| 70 | +p.xaxis.visible = False |
| 71 | +p.yaxis.visible = False |
| 72 | +p.xgrid.visible = False |
| 73 | +p.ygrid.visible = False |
| 74 | +p.outline_line_color = None |
| 75 | +p.background_fill_color = "white" |
| 76 | + |
| 77 | +outer_radius = 1.0 |
| 78 | +inner_radius = 0.85 |
| 79 | +track_outer = 0.82 |
| 80 | +track_inner = 0.70 |
| 81 | +ribbon_radius = 0.65 |
| 82 | + |
| 83 | + |
| 84 | +# Draw outer segments (arcs) |
| 85 | +for i, (start, end) in enumerate(segment_angles): |
| 86 | + # Outer arc |
| 87 | + theta = np.linspace(start, end, 50) |
| 88 | + outer_x = outer_radius * np.cos(theta) |
| 89 | + outer_y = outer_radius * np.sin(theta) |
| 90 | + inner_x = inner_radius * np.cos(theta[::-1]) |
| 91 | + inner_y = inner_radius * np.sin(theta[::-1]) |
| 92 | + |
| 93 | + xs = np.concatenate([outer_x, inner_x, [outer_x[0]]]) |
| 94 | + ys = np.concatenate([outer_y, inner_y, [outer_y[0]]]) |
| 95 | + |
| 96 | + source = ColumnDataSource(data={"xs": [xs], "ys": [ys]}) |
| 97 | + p.patches(xs="xs", ys="ys", source=source, fill_color=colors[i], line_color="white", line_width=2, alpha=0.9) |
| 98 | + |
| 99 | + # Add region label |
| 100 | + mid_angle = (start + end) / 2 |
| 101 | + label_radius = outer_radius + 0.12 |
| 102 | + label_x = label_radius * np.cos(mid_angle) |
| 103 | + label_y = label_radius * np.sin(mid_angle) |
| 104 | + |
| 105 | + # Rotate text based on position |
| 106 | + angle = mid_angle * 180 / np.pi |
| 107 | + if 90 < angle < 270: |
| 108 | + angle += 180 |
| 109 | + |
| 110 | + p.text( |
| 111 | + x=[label_x], |
| 112 | + y=[label_y], |
| 113 | + text=[regions[i]], |
| 114 | + text_font_size="28pt", |
| 115 | + text_align="center", |
| 116 | + text_baseline="middle", |
| 117 | + text_color="#333333", |
| 118 | + angle=[np.radians(angle - 90)], |
| 119 | + ) |
| 120 | + |
| 121 | +# Draw inner track (GDP growth rate) |
| 122 | +max_track = track_values.max() |
| 123 | +min_track = track_values.min() |
| 124 | +track_range = max_track - min_track |
| 125 | + |
| 126 | +for i, (start, end) in enumerate(segment_angles): |
| 127 | + # Normalized track value |
| 128 | + norm_val = (track_values[i] - min_track) / track_range if track_range > 0 else 0.5 |
| 129 | + bar_radius = track_inner + norm_val * (track_outer - track_inner) |
| 130 | + |
| 131 | + theta = np.linspace(start, end, 30) |
| 132 | + outer_x = bar_radius * np.cos(theta) |
| 133 | + outer_y = bar_radius * np.sin(theta) |
| 134 | + inner_x = track_inner * np.cos(theta[::-1]) |
| 135 | + inner_y = track_inner * np.sin(theta[::-1]) |
| 136 | + |
| 137 | + xs = np.concatenate([outer_x, inner_x, [outer_x[0]]]) |
| 138 | + ys = np.concatenate([outer_y, inner_y, [outer_y[0]]]) |
| 139 | + |
| 140 | + source = ColumnDataSource(data={"xs": [xs], "ys": [ys]}) |
| 141 | + p.patches(xs="xs", ys="ys", source=source, fill_color=colors[i], line_color=None, alpha=0.6) |
| 142 | + |
| 143 | +# Draw track reference circle |
| 144 | +track_ref_theta = np.linspace(0, 2 * np.pi, 100) |
| 145 | +track_ref_x = track_inner * np.cos(track_ref_theta) |
| 146 | +track_ref_y = track_inner * np.sin(track_ref_theta) |
| 147 | +p.line(track_ref_x, track_ref_y, line_color="#cccccc", line_width=1, line_alpha=0.5) |
| 148 | + |
| 149 | +# Draw ribbons (connections between regions) |
| 150 | +# Filter significant flows |
| 151 | +flow_threshold = 15 |
| 152 | + |
| 153 | +for i in range(n_regions): |
| 154 | + for j in range(i + 1, n_regions): # Only upper triangle to avoid duplicates |
| 155 | + flow_ij = flow_matrix[i, j] |
| 156 | + flow_ji = flow_matrix[j, i] |
| 157 | + total_flow = flow_ij + flow_ji |
| 158 | + |
| 159 | + if total_flow < flow_threshold: |
| 160 | + continue |
| 161 | + |
| 162 | + # Calculate ribbon widths proportional to flow |
| 163 | + # Source segment i |
| 164 | + start_i, end_i = segment_angles[i] |
| 165 | + seg_span_i = end_i - start_i |
| 166 | + ribbon_width_i = (total_flow / segment_sizes[i]) * seg_span_i * 0.8 |
| 167 | + |
| 168 | + # Target segment j |
| 169 | + start_j, end_j = segment_angles[j] |
| 170 | + seg_span_j = end_j - start_j |
| 171 | + ribbon_width_j = (total_flow / segment_sizes[j]) * seg_span_j * 0.8 |
| 172 | + |
| 173 | + # Position ribbons at center of segments |
| 174 | + mid_i = (start_i + end_i) / 2 |
| 175 | + mid_j = (start_j + end_j) / 2 |
| 176 | + |
| 177 | + # Ribbon endpoints on source |
| 178 | + theta_i_start = mid_i - ribbon_width_i / 2 |
| 179 | + theta_i_end = mid_i + ribbon_width_i / 2 |
| 180 | + |
| 181 | + # Ribbon endpoints on target |
| 182 | + theta_j_start = mid_j - ribbon_width_j / 2 |
| 183 | + theta_j_end = mid_j + ribbon_width_j / 2 |
| 184 | + |
| 185 | + # Create bezier-like ribbon using quadratic curves |
| 186 | + n_curve = 30 |
| 187 | + |
| 188 | + # Path: from i_start arc to j_start, then j arc, then back via bezier |
| 189 | + # Side 1: from i_start to j_start |
| 190 | + t = np.linspace(0, 1, n_curve) |
| 191 | + # Control point at center |
| 192 | + ctrl_x, ctrl_y = 0, 0 |
| 193 | + |
| 194 | + # Start point |
| 195 | + x1_start = ribbon_radius * np.cos(theta_i_start) |
| 196 | + y1_start = ribbon_radius * np.sin(theta_i_start) |
| 197 | + # End point |
| 198 | + x1_end = ribbon_radius * np.cos(theta_j_start) |
| 199 | + y1_end = ribbon_radius * np.sin(theta_j_start) |
| 200 | + |
| 201 | + # Quadratic bezier |
| 202 | + curve1_x = (1 - t) ** 2 * x1_start + 2 * (1 - t) * t * ctrl_x + t**2 * x1_end |
| 203 | + curve1_y = (1 - t) ** 2 * y1_start + 2 * (1 - t) * t * ctrl_y + t**2 * y1_end |
| 204 | + |
| 205 | + # Arc at j |
| 206 | + arc_j_theta = np.linspace(theta_j_start, theta_j_end, 10) |
| 207 | + arc_j_x = ribbon_radius * np.cos(arc_j_theta) |
| 208 | + arc_j_y = ribbon_radius * np.sin(arc_j_theta) |
| 209 | + |
| 210 | + # Side 2: from j_end back to i_end |
| 211 | + x2_start = ribbon_radius * np.cos(theta_j_end) |
| 212 | + y2_start = ribbon_radius * np.sin(theta_j_end) |
| 213 | + x2_end = ribbon_radius * np.cos(theta_i_end) |
| 214 | + y2_end = ribbon_radius * np.sin(theta_i_end) |
| 215 | + |
| 216 | + curve2_x = (1 - t) ** 2 * x2_start + 2 * (1 - t) * t * ctrl_x + t**2 * x2_end |
| 217 | + curve2_y = (1 - t) ** 2 * y2_start + 2 * (1 - t) * t * ctrl_y + t**2 * y2_end |
| 218 | + |
| 219 | + # Arc at i |
| 220 | + arc_i_theta = np.linspace(theta_i_end, theta_i_start, 10) |
| 221 | + arc_i_x = ribbon_radius * np.cos(arc_i_theta) |
| 222 | + arc_i_y = ribbon_radius * np.sin(arc_i_theta) |
| 223 | + |
| 224 | + # Combine all points |
| 225 | + ribbon_x = np.concatenate([curve1_x, arc_j_x, curve2_x, arc_i_x]) |
| 226 | + ribbon_y = np.concatenate([curve1_y, arc_j_y, curve2_y, arc_i_y]) |
| 227 | + |
| 228 | + # Use gradient color (blend of source and target) |
| 229 | + ribbon_color = colors[i] |
| 230 | + |
| 231 | + source = ColumnDataSource(data={"xs": [ribbon_x], "ys": [ribbon_y]}) |
| 232 | + p.patches( |
| 233 | + xs="xs", ys="ys", source=source, fill_color=ribbon_color, line_color=ribbon_color, line_width=0.5, alpha=0.5 |
| 234 | + ) |
| 235 | + |
| 236 | +# Add legend manually |
| 237 | +legend_x = 1.15 |
| 238 | +legend_y_start = 0.8 |
| 239 | +legend_spacing = 0.15 |
| 240 | + |
| 241 | +for i, region in enumerate(regions): |
| 242 | + y_pos = legend_y_start - i * legend_spacing |
| 243 | + # Color box |
| 244 | + p.rect(x=[legend_x], y=[y_pos], width=0.08, height=0.08, fill_color=colors[i], line_color=None) |
| 245 | + # Label |
| 246 | + p.text( |
| 247 | + x=[legend_x + 0.08], |
| 248 | + y=[y_pos], |
| 249 | + text=[region], |
| 250 | + text_font_size="16pt", |
| 251 | + text_align="left", |
| 252 | + text_baseline="middle", |
| 253 | + text_color="#333333", |
| 254 | + ) |
| 255 | + |
| 256 | +# Add title for track (positioned near the inner track for clarity) |
| 257 | +p.text(x=[-0.45], y=[-0.45], text=["Inner track:"], text_font_size="20pt", text_color="#666666", text_align="center") |
| 258 | +p.text(x=[-0.45], y=[-0.55], text=["GDP Growth (%)"], text_font_size="20pt", text_color="#666666", text_align="center") |
| 259 | + |
| 260 | +# Save outputs |
| 261 | +export_png(p, filename="plot.png") |
| 262 | + |
| 263 | +# Save HTML for interactivity |
| 264 | +output_file("plot.html") |
| 265 | +save(p) |
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