1use serde::{Deserialize, Serialize};
2
3#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
4pub enum Step {
5 C,
6 D,
7 E,
8 F,
9 G,
10 A,
11 B,
12}
13
14impl Step {
15 pub fn to_semitone(&self) -> u8 {
16 match self {
17 Step::C => 0,
18 Step::D => 2,
19 Step::E => 4,
20 Step::F => 5,
21 Step::G => 7,
22 Step::A => 9,
23 Step::B => 11,
24 }
25 }
26
27 pub fn from_char(c: char) -> Option<Self> {
28 match c.to_ascii_uppercase() {
29 'C' => Some(Step::C),
30 'D' => Some(Step::D),
31 'E' => Some(Step::E),
32 'F' => Some(Step::F),
33 'G' => Some(Step::G),
34 'A' => Some(Step::A),
35 'B' => Some(Step::B),
36 _ => None,
37 }
38 }
39
40 pub fn to_char(&self) -> char {
41 match self {
42 Step::C => 'C',
43 Step::D => 'D',
44 Step::E => 'E',
45 Step::F => 'F',
46 Step::G => 'G',
47 Step::A => 'A',
48 Step::B => 'B',
49 }
50 }
51}
52
53#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
54pub struct Pitch {
55 pub step: Step,
56 pub octave: i8,
57 pub alter: i8,
58 #[serde(default)]
60 pub microtone_cents: i16,
61}
62
63impl Pitch {
64 pub fn new(step: Step, octave: i8) -> Self {
65 Self {
66 step,
67 octave,
68 alter: 0,
69 microtone_cents: 0,
70 }
71 }
72
73 pub fn with_alter(step: Step, octave: i8, alter: i8) -> Self {
74 Self {
75 step,
76 octave,
77 alter,
78 microtone_cents: 0,
79 }
80 }
81
82 pub fn with_microtone(step: Step, octave: i8, alter: i8, microtone_cents: i16) -> Self {
83 Self {
84 step,
85 octave,
86 alter,
87 microtone_cents: microtone_cents.clamp(-99, 99),
88 }
89 }
90
91 pub fn try_with_microtone(
96 step: Step,
97 octave: i8,
98 alter: i8,
99 microtone_cents: i16,
100 ) -> Option<Self> {
101 (-99..=99).contains(µtone_cents).then_some(Self {
102 step,
103 octave,
104 alter,
105 microtone_cents,
106 })
107 }
108
109 pub fn to_midi(&self) -> i16 {
111 let semitone = self.step.to_semitone() as i16;
112 let base = (self.octave as i16 + 1) * 12;
113 (base as f32 + semitone as f32 + self.alter as f32 + self.microtone_cents as f32 / 100.0)
114 .round() as i16
115 }
116
117 pub fn to_midi_cents(&self) -> i32 {
122 let semitone = self.step.to_semitone() as i32;
123 ((self.octave as i32 + 1) * 12 + semitone + self.alter as i32) * 100
124 + self.microtone_cents as i32
125 }
126
127 pub fn from_midi(midi: u8, prefer_flat: bool) -> Pitch {
133 let pc = midi % 12;
134 let (step, alter): (Step, i8) = if prefer_flat {
135 match pc {
136 0 => (Step::C, 0),
137 1 => (Step::D, -1),
138 2 => (Step::D, 0),
139 3 => (Step::E, -1),
140 4 => (Step::E, 0),
141 5 => (Step::F, 0),
142 6 => (Step::G, -1),
143 7 => (Step::G, 0),
144 8 => (Step::A, -1),
145 9 => (Step::A, 0),
146 10 => (Step::B, -1),
147 11 => (Step::B, 0),
148 _ => (Step::C, 0),
149 }
150 } else {
151 match pc {
152 0 => (Step::C, 0),
153 1 => (Step::C, 1),
154 2 => (Step::D, 0),
155 3 => (Step::D, 1),
156 4 => (Step::E, 0),
157 5 => (Step::F, 0),
158 6 => (Step::F, 1),
159 7 => (Step::G, 0),
160 8 => (Step::G, 1),
161 9 => (Step::A, 0),
162 10 => (Step::A, 1),
163 11 => (Step::B, 0),
164 _ => (Step::C, 0),
165 }
166 };
167 let step_semitone = step.to_semitone() as i16 + alter as i16;
168 let octave = ((midi as i16 - step_semitone) / 12 - 1) as i8;
169 Pitch::with_alter(step, octave, alter)
170 }
171
172 pub fn to_scientific_name(&self) -> String {
174 let accidental = match self.alter {
175 2 => "##",
176 1 => "#",
177 0 => "",
178 -1 => "b",
179 -2 => "bb",
180 _ => "",
181 };
182 format!("{}{}{}", self.step.to_char(), accidental, self.octave)
183 }
184
185 pub fn respell(&self, prefer_flat: bool) -> Pitch {
192 let mut pitch = Pitch::from_midi(self.to_midi().clamp(0, 127) as u8, prefer_flat);
193 pitch.microtone_cents = self.microtone_cents;
194 pitch
195 }
196}
197
198impl std::str::FromStr for Pitch {
199 type Err = ();
200
201 fn from_str(s: &str) -> Result<Self, Self::Err> {
205 let mut chars = s.chars().peekable();
206 let step = Step::from_char(chars.next().ok_or(())?).ok_or(())?;
207 let mut alter: i8 = 0;
208 loop {
209 match chars.peek() {
210 Some('#') => {
211 alter += 1;
212 chars.next();
213 }
214 Some('b') => {
215 alter -= 1;
216 chars.next();
217 }
218 _ => break,
219 }
220 }
221 let octave: i8 = chars.collect::<String>().parse().map_err(|_| ())?;
222 Ok(Pitch::with_alter(step, octave, alter))
223 }
224}
225
226#[cfg(test)]
227mod tests {
228 use super::*;
229
230 #[test]
231 fn middle_c_midi() {
232 assert_eq!(Pitch::new(Step::C, 4).to_midi(), 60);
233 }
234
235 #[test]
236 fn a4_midi() {
237 assert_eq!(Pitch::new(Step::A, 4).to_midi(), 69);
238 }
239
240 #[test]
241 fn scientific_name_sharp() {
242 let p = Pitch::with_alter(Step::F, 5, 1);
243 assert_eq!(p.to_scientific_name(), "F#5");
244 }
245
246 #[test]
247 fn scientific_name_flat() {
248 let p = Pitch::with_alter(Step::B, 3, -1);
249 assert_eq!(p.to_scientific_name(), "Bb3");
250 }
251
252 #[test]
253 fn respell_natural_unchanged() {
254 let p = Pitch::new(Step::C, 4);
255 assert_eq!(p.respell(true), Pitch::new(Step::C, 4));
256 assert_eq!(p.respell(false), Pitch::new(Step::C, 4));
257 }
258
259 #[test]
260 fn respell_csharp_to_db() {
261 let p = Pitch::with_alter(Step::C, 4, 1); let flat = p.respell(true);
263 assert_eq!(flat.step, Step::D);
264 assert_eq!(flat.alter, -1);
265 assert_eq!(flat.octave, 4);
266 assert_eq!(flat.to_midi(), 61);
267 }
268
269 #[test]
270 fn respell_db_to_csharp() {
271 let p = Pitch::with_alter(Step::D, 4, -1); let sharp = p.respell(false);
273 assert_eq!(sharp.step, Step::C);
274 assert_eq!(sharp.alter, 1);
275 assert_eq!(sharp.octave, 4);
276 assert_eq!(sharp.to_midi(), 61);
277 }
278
279 #[test]
280 fn respell_bsharp_to_c_next_octave() {
281 let p = Pitch::with_alter(Step::B, 4, 1); let resolved = p.respell(true);
283 assert_eq!(resolved.step, Step::C);
284 assert_eq!(resolved.alter, 0);
285 assert_eq!(resolved.octave, 5);
286 assert_eq!(resolved.to_midi(), 72);
287 }
288
289 #[test]
290 fn respell_cb_to_b_prev_octave() {
291 let p = Pitch::with_alter(Step::C, 5, -1); let resolved = p.respell(false);
293 assert_eq!(resolved.step, Step::B);
294 assert_eq!(resolved.alter, 0);
295 assert_eq!(resolved.octave, 4);
296 assert_eq!(resolved.to_midi(), 71);
297 }
298
299 #[test]
300 fn from_midi_middle_c() {
301 let p = Pitch::from_midi(60, false);
302 assert_eq!(p.step, Step::C);
303 assert_eq!(p.octave, 4);
304 assert_eq!(p.alter, 0);
305 }
306
307 #[test]
308 fn from_midi_c_sharp_prefer_sharp() {
309 let p = Pitch::from_midi(61, false);
310 assert_eq!(p.step, Step::C);
311 assert_eq!(p.octave, 4);
312 assert_eq!(p.alter, 1);
313 }
314
315 #[test]
316 fn from_midi_d_flat_prefer_flat() {
317 let p = Pitch::from_midi(61, true);
318 assert_eq!(p.step, Step::D);
319 assert_eq!(p.octave, 4);
320 assert_eq!(p.alter, -1);
321 }
322
323 #[test]
324 fn from_midi_a4() {
325 let p = Pitch::from_midi(69, false);
326 assert_eq!(p.step, Step::A);
327 assert_eq!(p.octave, 4);
328 assert_eq!(p.alter, 0);
329 }
330
331 #[test]
332 fn from_midi_respell_roundtrip() {
333 for midi in 21u8..=108 {
334 for prefer_flat in [false, true] {
335 let p = Pitch::from_midi(midi, prefer_flat);
336 assert_eq!(
337 p.to_midi() as u8,
338 midi,
339 "from_midi({midi},{prefer_flat}) roundtrip failed: {:?}",
340 p
341 );
342 }
343 }
344 }
345
346 #[test]
347 fn from_str_c4() {
348 let p: Pitch = "C4".parse().unwrap();
349 assert_eq!(p, Pitch::new(Step::C, 4));
350 }
351
352 #[test]
353 fn from_str_fsharp5() {
354 let p: Pitch = "F#5".parse().unwrap();
355 assert_eq!(p, Pitch::with_alter(Step::F, 5, 1));
356 }
357
358 #[test]
359 fn from_str_bflat3() {
360 let p: Pitch = "Bb3".parse().unwrap();
361 assert_eq!(p.step, Step::B);
362 assert_eq!(p.alter, -1);
363 assert_eq!(p.octave, 3);
364 assert_eq!(p.to_midi(), 58);
365 }
366
367 #[test]
368 fn from_str_double_sharp() {
369 let p: Pitch = "C##4".parse().unwrap();
370 assert_eq!(p.step, Step::C);
371 assert_eq!(p.alter, 2);
372 assert_eq!(p.octave, 4);
373 }
374
375 #[test]
376 fn from_str_invalid_step_returns_err() {
377 assert!("X4".parse::<Pitch>().is_err());
378 assert!("".parse::<Pitch>().is_err());
379 assert!("C".parse::<Pitch>().is_err()); }
381
382 #[test]
383 fn from_str_roundtrip() {
384 for midi in 21u8..=108 {
385 for prefer_flat in [false, true] {
386 let p = Pitch::from_midi(midi, prefer_flat);
387 let name = p.to_scientific_name();
388 let parsed: Pitch = name
389 .parse()
390 .unwrap_or_else(|_| panic!("parse failed for {:?}", name));
391 assert_eq!(
392 parsed.to_midi() as u8,
393 midi,
394 "roundtrip failed for {:?} (midi {})",
395 name,
396 midi
397 );
398 }
399 }
400 }
401
402 #[test]
403 fn respell_fsharp_to_gb() {
404 let p = Pitch::with_alter(Step::F, 4, 1); let flat = p.respell(true);
406 assert_eq!(flat.step, Step::G);
407 assert_eq!(flat.alter, -1);
408 assert_eq!(flat.to_midi(), 66);
409 }
410
411 #[test]
412 fn midi_cents_preserves_microtonal_boundary() {
413 let quarter_sharp = Pitch::with_microtone(Step::C, 4, 0, 50);
414 let quarter_flat = Pitch::with_microtone(Step::C, 4, 0, -50);
415 assert_eq!(quarter_sharp.to_midi_cents(), 6050);
416 assert_eq!(quarter_flat.to_midi_cents(), 5950);
417 assert_eq!(quarter_sharp.to_midi(), 61);
418 assert_eq!(quarter_flat.to_midi(), 60);
419 }
420
421 #[test]
422 fn try_with_microtone_rejects_without_clamping() {
423 assert_eq!(
424 Pitch::try_with_microtone(Step::C, 4, 0, -99)
425 .unwrap()
426 .microtone_cents,
427 -99
428 );
429 assert_eq!(
430 Pitch::try_with_microtone(Step::C, 4, 0, 99)
431 .unwrap()
432 .microtone_cents,
433 99
434 );
435 assert!(Pitch::try_with_microtone(Step::C, 4, 0, 100).is_none());
436 assert_eq!(
437 Pitch::with_microtone(Step::C, 4, 0, 100).microtone_cents,
438 99
439 );
440 }
441}