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.cmp(&0) {
175 std::cmp::Ordering::Greater => "#".repeat(self.alter as usize),
176 std::cmp::Ordering::Less => "b".repeat(self.alter.unsigned_abs() as usize),
177 std::cmp::Ordering::Equal => String::new(),
178 };
179 format!("{}{}{}", self.step.to_char(), accidental, self.octave)
180 }
181
182 pub fn respell(&self, prefer_flat: bool) -> Pitch {
189 let mut pitch = Pitch::from_midi(self.to_midi().clamp(0, 127) as u8, prefer_flat);
190 pitch.microtone_cents = self.microtone_cents;
191 pitch
192 }
193}
194
195impl std::str::FromStr for Pitch {
196 type Err = ();
197
198 fn from_str(s: &str) -> Result<Self, Self::Err> {
202 let mut chars = s.chars().peekable();
203 let step = Step::from_char(chars.next().ok_or(())?).ok_or(())?;
204 let mut alter: i8 = 0;
205 loop {
206 match chars.peek() {
207 Some('#') => {
208 alter = alter.checked_add(1).ok_or(())?;
209 chars.next();
210 }
211 Some('b') => {
212 alter = alter.checked_sub(1).ok_or(())?;
213 chars.next();
214 }
215 _ => break,
216 }
217 }
218 let octave: i8 = chars.collect::<String>().parse().map_err(|_| ())?;
219 Ok(Pitch::with_alter(step, octave, alter))
220 }
221}
222
223#[cfg(test)]
224mod tests {
225 use super::*;
226
227 #[test]
228 fn middle_c_midi() {
229 assert_eq!(Pitch::new(Step::C, 4).to_midi(), 60);
230 }
231
232 #[test]
233 fn a4_midi() {
234 assert_eq!(Pitch::new(Step::A, 4).to_midi(), 69);
235 }
236
237 #[test]
238 fn scientific_name_sharp() {
239 let p = Pitch::with_alter(Step::F, 5, 1);
240 assert_eq!(p.to_scientific_name(), "F#5");
241 }
242
243 #[test]
244 fn scientific_name_flat() {
245 let p = Pitch::with_alter(Step::B, 3, -1);
246 assert_eq!(p.to_scientific_name(), "Bb3");
247 }
248
249 #[test]
250 fn respell_natural_unchanged() {
251 let p = Pitch::new(Step::C, 4);
252 assert_eq!(p.respell(true), Pitch::new(Step::C, 4));
253 assert_eq!(p.respell(false), Pitch::new(Step::C, 4));
254 }
255
256 #[test]
257 fn respell_csharp_to_db() {
258 let p = Pitch::with_alter(Step::C, 4, 1); let flat = p.respell(true);
260 assert_eq!(flat.step, Step::D);
261 assert_eq!(flat.alter, -1);
262 assert_eq!(flat.octave, 4);
263 assert_eq!(flat.to_midi(), 61);
264 }
265
266 #[test]
267 fn respell_db_to_csharp() {
268 let p = Pitch::with_alter(Step::D, 4, -1); let sharp = p.respell(false);
270 assert_eq!(sharp.step, Step::C);
271 assert_eq!(sharp.alter, 1);
272 assert_eq!(sharp.octave, 4);
273 assert_eq!(sharp.to_midi(), 61);
274 }
275
276 #[test]
277 fn respell_bsharp_to_c_next_octave() {
278 let p = Pitch::with_alter(Step::B, 4, 1); let resolved = p.respell(true);
280 assert_eq!(resolved.step, Step::C);
281 assert_eq!(resolved.alter, 0);
282 assert_eq!(resolved.octave, 5);
283 assert_eq!(resolved.to_midi(), 72);
284 }
285
286 #[test]
287 fn respell_cb_to_b_prev_octave() {
288 let p = Pitch::with_alter(Step::C, 5, -1); let resolved = p.respell(false);
290 assert_eq!(resolved.step, Step::B);
291 assert_eq!(resolved.alter, 0);
292 assert_eq!(resolved.octave, 4);
293 assert_eq!(resolved.to_midi(), 71);
294 }
295
296 #[test]
297 fn from_midi_middle_c() {
298 let p = Pitch::from_midi(60, false);
299 assert_eq!(p.step, Step::C);
300 assert_eq!(p.octave, 4);
301 assert_eq!(p.alter, 0);
302 }
303
304 #[test]
305 fn from_midi_c_sharp_prefer_sharp() {
306 let p = Pitch::from_midi(61, false);
307 assert_eq!(p.step, Step::C);
308 assert_eq!(p.octave, 4);
309 assert_eq!(p.alter, 1);
310 }
311
312 #[test]
313 fn from_midi_d_flat_prefer_flat() {
314 let p = Pitch::from_midi(61, true);
315 assert_eq!(p.step, Step::D);
316 assert_eq!(p.octave, 4);
317 assert_eq!(p.alter, -1);
318 }
319
320 #[test]
321 fn from_midi_a4() {
322 let p = Pitch::from_midi(69, false);
323 assert_eq!(p.step, Step::A);
324 assert_eq!(p.octave, 4);
325 assert_eq!(p.alter, 0);
326 }
327
328 #[test]
329 fn from_midi_respell_roundtrip() {
330 for midi in 21u8..=108 {
331 for prefer_flat in [false, true] {
332 let p = Pitch::from_midi(midi, prefer_flat);
333 assert_eq!(
334 p.to_midi() as u8,
335 midi,
336 "from_midi({midi},{prefer_flat}) roundtrip failed: {:?}",
337 p
338 );
339 }
340 }
341 }
342
343 #[test]
344 fn from_str_c4() {
345 let p: Pitch = "C4".parse().unwrap();
346 assert_eq!(p, Pitch::new(Step::C, 4));
347 }
348
349 #[test]
350 fn from_str_fsharp5() {
351 let p: Pitch = "F#5".parse().unwrap();
352 assert_eq!(p, Pitch::with_alter(Step::F, 5, 1));
353 }
354
355 #[test]
356 fn from_str_bflat3() {
357 let p: Pitch = "Bb3".parse().unwrap();
358 assert_eq!(p.step, Step::B);
359 assert_eq!(p.alter, -1);
360 assert_eq!(p.octave, 3);
361 assert_eq!(p.to_midi(), 58);
362 }
363
364 #[test]
365 fn from_str_double_sharp() {
366 let p: Pitch = "C##4".parse().unwrap();
367 assert_eq!(p.step, Step::C);
368 assert_eq!(p.alter, 2);
369 assert_eq!(p.octave, 4);
370 }
371
372 #[test]
373 fn scientific_name_preserves_extended_accidentals() {
374 assert_eq!(
375 Pitch::with_alter(Step::C, 4, 3).to_scientific_name(),
376 "C###4"
377 );
378 assert_eq!(
379 Pitch::with_alter(Step::C, 4, -3).to_scientific_name(),
380 "Cbbb4"
381 );
382 }
383
384 #[test]
385 fn from_str_rejects_accidental_overflow() {
386 assert!(format!("C{}4", "#".repeat(128)).parse::<Pitch>().is_err());
387 assert!(format!("C{}4", "b".repeat(129)).parse::<Pitch>().is_err());
388 }
389
390 #[test]
391 fn from_str_invalid_step_returns_err() {
392 assert!("X4".parse::<Pitch>().is_err());
393 assert!("".parse::<Pitch>().is_err());
394 assert!("C".parse::<Pitch>().is_err()); }
396
397 #[test]
398 fn from_str_roundtrip() {
399 for midi in 21u8..=108 {
400 for prefer_flat in [false, true] {
401 let p = Pitch::from_midi(midi, prefer_flat);
402 let name = p.to_scientific_name();
403 let parsed: Pitch = name
404 .parse()
405 .unwrap_or_else(|_| panic!("parse failed for {:?}", name));
406 assert_eq!(
407 parsed.to_midi() as u8,
408 midi,
409 "roundtrip failed for {:?} (midi {})",
410 name,
411 midi
412 );
413 }
414 }
415 }
416
417 #[test]
418 fn respell_fsharp_to_gb() {
419 let p = Pitch::with_alter(Step::F, 4, 1); let flat = p.respell(true);
421 assert_eq!(flat.step, Step::G);
422 assert_eq!(flat.alter, -1);
423 assert_eq!(flat.to_midi(), 66);
424 }
425
426 #[test]
427 fn midi_cents_preserves_microtonal_boundary() {
428 let quarter_sharp = Pitch::with_microtone(Step::C, 4, 0, 50);
429 let quarter_flat = Pitch::with_microtone(Step::C, 4, 0, -50);
430 assert_eq!(quarter_sharp.to_midi_cents(), 6050);
431 assert_eq!(quarter_flat.to_midi_cents(), 5950);
432 assert_eq!(quarter_sharp.to_midi(), 61);
433 assert_eq!(quarter_flat.to_midi(), 60);
434 }
435
436 #[test]
437 fn try_with_microtone_rejects_without_clamping() {
438 assert_eq!(
439 Pitch::try_with_microtone(Step::C, 4, 0, -99)
440 .unwrap()
441 .microtone_cents,
442 -99
443 );
444 assert_eq!(
445 Pitch::try_with_microtone(Step::C, 4, 0, 99)
446 .unwrap()
447 .microtone_cents,
448 99
449 );
450 assert!(Pitch::try_with_microtone(Step::C, 4, 0, 100).is_none());
451 assert_eq!(
452 Pitch::with_microtone(Step::C, 4, 0, 100).microtone_cents,
453 99
454 );
455 }
456}