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
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
/// L-System (Lindenmayer System) - Fractal growth patterns
///
/// L-Systems are parallel rewriting systems that produce complex patterns from simple rules.
/// Originally developed by biologist Aristid Lindenmayer to model plant growth, they're now
/// used extensively in computer graphics, music, and generative art.
///
/// An L-System consists of:
/// - **Axiom**: Starting string/pattern
/// - **Rules**: How each symbol transforms in parallel
/// - **Iterations**: How many times to apply the rules
///
/// Example: Algae growth
/// - Axiom: "A"
/// - Rules: A → AB, B → A
/// - Evolution: A → AB → ABA → ABAAB → ABAABABA...
///
/// This creates the Fibonacci sequence in string length!
///
/// # Arguments
/// * `axiom` - Starting pattern (string of characters)
/// * `rules` - HashMap of transformation rules (char → String)
/// * `iterations` - Number of generations to evolve
///
/// # Returns
/// String representing the evolved pattern after n iterations
///
/// # Examples
/// ```
/// use tunes::sequences;
/// use std::collections::HashMap;
///
/// // Fibonacci pattern (algae growth)
/// let mut rules = HashMap::new();
/// rules.insert('A', "AB".to_string());
/// rules.insert('B', "A".to_string());
/// let pattern = sequences::lsystem::generate("A", &rules, 4);
/// // "A" → "AB" → "ABA" → "ABAAB" → "ABAABABA"
/// assert_eq!(pattern, "ABAABABA");
///
/// // Convert to numeric sequence for music
/// let values: Vec<u32> = pattern.chars()
/// .map(|c| if c == 'A' { 1 } else { 2 })
/// .collect();
/// // Use for melody, rhythm, or structure!
/// ```
///
/// # Musical Applications
/// - **Melodic contours**: Map symbols to pitches (A=C, B=D, C=E, etc.)
/// - **Rhythmic patterns**: Map symbols to note durations
/// - **Formal structure**: Use pattern length to determine section lengths
/// - **Fractal melodies**: Self-similar patterns at different scales
/// - **Branching harmonies**: Create chord progressions that branch and grow
/// - **Texture evolution**: Map symbols to instrument layers appearing/disappearing
///
/// # Famous L-Systems
///
/// **Fibonacci (Algae):**
/// - Rules: A→AB, B→A
/// - Creates Fibonacci sequence lengths: 1,2,3,5,8,13,21...
///
/// **Cantor Set (Fractal):**
/// - Rules: A→ABA, B→BBB
/// - Creates Cantor set (removing middle thirds)
///
/// **Dragon Curve:**
/// - Rules: X→X+YF+, Y→-FX-Y
/// - Creates famous dragon fractal
///
/// **Thue-Morse:**
/// - Rules: A→AB, B→BA
/// - Same as Thue-Morse sequence!
///
/// **Binary Tree:**
/// - Rules: 0→1[0]0, 1→11
/// - Creates branching tree structure
///
/// # Example: Musical Phrase Generator
/// ```
/// # use tunes::sequences;
/// # use std::collections::HashMap;
/// // Create a melodic pattern that grows organically
/// let mut rules = HashMap::new();
/// rules.insert('C', "CD".to_string()); // Root expands up
/// rules.insert('D', "CE".to_string()); // Second up to third
/// rules.insert('E', "CG".to_string()); // Third jumps to fifth
/// rules.insert('G', "C".to_string()); // Fifth returns home
///
/// let melody = sequences::lsystem::generate("C", &rules, 4);
/// // Evolution: C → CD → CDCE → CDCECG → CDCECGCE...
///
/// // Map to frequencies
/// let pitch_map: HashMap<char, f32> = [
/// ('C', 261.63),
/// ('D', 293.66),
/// ('E', 329.63),
/// ('G', 392.00),
/// ].iter().cloned().collect();
///
/// let frequencies: Vec<f32> = melody.chars()
/// .filter_map(|c| pitch_map.get(&c))
/// .copied()
/// .collect();
/// ```
/// Convert L-System string to numeric sequence
///
/// Maps each unique character to a number (A=0, B=1, C=2, etc.)
/// Useful for converting L-System patterns into musical parameters.
///
/// # Arguments
/// * `pattern` - L-System generated string
///
/// # Returns
/// Vector of u32 values representing the pattern
///
/// # Examples
/// ```
/// use tunes::sequences;
/// use std::collections::HashMap;
///
/// let mut rules = HashMap::new();
/// rules.insert('A', "AB".to_string());
/// rules.insert('B', "A".to_string());
/// let pattern = sequences::lsystem::generate("A", &rules, 4);
/// let values = sequences::lsystem_to_sequence(&pattern);
/// // Maps: A=0, B=1 → [0,1,0,0,1]
/// ```
// ========== PRESETS ==========
/// Fibonacci/Algae pattern (4 iterations) - classic L-system
/// Thue-Morse pattern (4 iterations)
/// Cantor set pattern (3 iterations)
/// Binary tree pattern (3 iterations)
/// Classic - Fibonacci at 5 iterations