1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
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
/// A chord diagram: N nodes arranged around a circle, connected by ribbons
/// whose widths are proportional to flow magnitudes from an N×N matrix.
///
/// Each node occupies an arc segment on the outer ring. The arc length is
/// proportional to the node's total flow (row sum of the matrix). Ribbons
/// connect pairs of nodes; ribbon width at each end is proportional to the
/// flow in that direction.
///
/// # Symmetric vs asymmetric matrices
///
/// - **Symmetric** (`matrix[i][j] == matrix[j][i]`): each ribbon has equal
/// width at both ends. Use this for undirected relationships such as
/// co-occurrence, correlation, or shared membership.
/// - **Asymmetric** (`matrix[i][j] != matrix[j][i]`): each ribbon is wider
/// at the end of the stronger sender. Use this for directed flows such as
/// migration, regulation, or transition probabilities.
///
/// # Pixel-space rendering
///
/// The chord diagram is rendered entirely in pixel space — it does not use
/// the standard x/y axis system. Pass the plot inside `render_multiple` as
/// usual; `Layout::auto_from_plots` skips axis computation for chord plots.
/// A title set on the `Layout` is still rendered.
///
/// # Example
///
/// ```rust,no_run
/// use kuva::plot::ChordPlot;
/// use kuva::backend::svg::SvgBackend;
/// use kuva::render::render::render_multiple;
/// use kuva::render::layout::Layout;
/// use kuva::render::plots::Plot;
///
/// let matrix = vec![
/// vec![ 0.0, 120.0, 70.0],
/// vec![120.0, 0.0, 88.0],
/// vec![ 70.0, 88.0, 0.0],
/// ];
///
/// let chord = ChordPlot::new()
/// .with_matrix(matrix)
/// .with_labels(["CD4 T", "CD8 T", "NK"])
/// .with_legend("Cell types");
///
/// let plots = vec![Plot::Chord(chord)];
/// let layout = Layout::auto_from_plots(&plots)
/// .with_title("Cell Type Co-clustering");
///
/// let svg = SvgBackend.render_scene(&render_multiple(plots, layout));
/// std::fs::write("chord.svg", svg).unwrap();
/// ```