285 lines
16 KiB
Python
285 lines
16 KiB
Python
from __future__ import annotations
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import copy
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from fractions import Fraction
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from typing import Any
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SCHEMA_VERSION = 3
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MAX_INTEGER = (1 << 63) - 1
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NOTE_TYPES = ('maxima', 'long', 'breve', 'whole', 'half', 'quarter', 'eighth', '16th', '32nd', '64th', '128th', '256th', '512th', '1024th')
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TYPE_LENGTHS = {name: Fraction(32, 2 ** index) for index, name in enumerate(NOTE_TYPES)}
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NATURAL = {'c': 0, 'd': 2, 'e': 4, 'f': 5, 'g': 7, 'a': 9, 'b': 11}
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LETTERS = 'cdefgab'
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MODE_STEPS = {'major': 0, 'ionian': 0, 'dorian': 1, 'phrygian': 2, 'lydian': 3, 'mixolydian': 4, 'minor': 5, 'aeolian': 5, 'locrian': 6}
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ACCIDENTALS = {'natural': Fraction(0), 'sharp': Fraction(1), 'flat': Fraction(-1), 'double-sharp': Fraction(2), 'sharp-sharp': Fraction(2), 'flat-flat': Fraction(-2), 'triple-sharp': Fraction(3), 'triple-flat': Fraction(-3), 'natural-sharp': Fraction(1), 'natural-flat': Fraction(-1), 'quarter-sharp': Fraction(1, 2), 'quarter-flat': Fraction(-1, 2), 'three-quarters-sharp': Fraction(3, 2), 'three-quarters-flat': Fraction(-3, 2)}
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def accidental_name(value: Fraction) -> str:
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for name, amount in ACCIDENTALS.items():
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if amount == value:
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return name
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return 'other'
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def rational(value: Fraction | int) -> dict[str, int]:
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value = Fraction(value)
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if abs(value.numerator) > MAX_INTEGER or value.denominator > MAX_INTEGER:
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raise ValueError('musical time exceeds the supported 64-bit rational range')
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return {'numerator': value.numerator, 'denominator': value.denominator}
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def fraction(value: Any) -> Fraction:
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if not isinstance(value, dict) or set(value) != {'numerator', 'denominator'}:
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raise ValueError('musical time must be a numerator/denominator object')
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n, d = value['numerator'], value['denominator']
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if type(n) is not int or type(d) is not int or d <= 0 or abs(n) > MAX_INTEGER or d > MAX_INTEGER:
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raise ValueError('invalid musical time')
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result = Fraction(n, d)
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if rational(result) != value:
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raise ValueError('musical time must be reduced')
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return result
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def written_length(written: dict) -> Fraction:
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kind, dots = written['type'], written.get('dots', 0)
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if kind not in TYPE_LENGTHS or type(dots) is not int or not 0 <= dots <= 16:
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raise ValueError('invalid written duration or augmentation-dot count (maximum 16)')
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return TYPE_LENGTHS[kind] * (2 - Fraction(1, 2 ** dots))
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def written_for(length: Fraction) -> dict:
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for name, base in TYPE_LENGTHS.items():
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for dots in range(17):
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if length == base * (2 - Fraction(1, 2 ** dots)):
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return {'type': name, 'dots': dots}
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# Generated rational spans need an explicit time modification, not rounded ticks.
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base = next((name for name, size in TYPE_LENGTHS.items() if size <= length), '1024th')
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return {'type': base, 'dots': 0, 'ratio': rational(length / TYPE_LENGTHS[base])}
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def metric_length(written: dict) -> Fraction:
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ratio = fraction(written.get('ratio', rational(1)))
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if ratio <= 0:
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raise ValueError('written duration ratio must be positive')
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if 'normal' in written:
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written_length(written['normal'])
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return written_length(written) * ratio
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def alteration(value: int | dict) -> Fraction:
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return Fraction(value) if type(value) is int else fraction(value)
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def pitch_number(pitch: dict) -> Fraction:
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letter = pitch['letter'].lower()
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alter, octave = alteration(pitch.get('alter', 0)), pitch['octave']
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if letter not in NATURAL or type(octave) is not int or not -4 <= octave <= 16:
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raise ValueError('invalid spelled pitch')
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return 12 * (octave + 1) + NATURAL[letter] + alter
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def pitch_name(pitch: dict) -> str:
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alter = alteration(pitch.get('alter', 0))
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suffix = ('#' * int(alter) if alter > 0 else 'b' * int(-alter)) if alter.denominator == 1 else f'({alter:+} semitones)'
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return pitch['letter'].upper() + suffix
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def parse_pitch_name(name: str) -> dict:
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if not name or name[0].lower() not in NATURAL or any(c not in '#b' for c in name[1:]):
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raise ValueError(f'invalid pitch name: {name!r}')
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return {'letter': name[0].lower(), 'alter': rational(name[1:].count('#') - name[1:].count('b'))}
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def key_from_fifths(fifths: int, mode: str = 'major') -> dict:
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if mode not in MODE_STEPS and mode != 'none':
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raise ValueError(f'unsupported mode: {mode}')
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if not -14 <= fifths <= 14:
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raise ValueError('key signatures support up to fourteen fifths in either direction')
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degree = fifths * 4 + MODE_STEPS.get(mode, 0)
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letter = LETTERS[degree % 7]
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signature = [0] * 7
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order = 'fcgdaeb' if fifths > 0 else 'beadgcf'
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for i in range(abs(fifths)):
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signature[LETTERS.index(order[i % 7])] += 1 if fifths > 0 else -1
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tonic = {'letter': letter, 'alter': rational(signature[LETTERS.index(letter)])}
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return {'fifths': fifths, 'mode': mode, 'tonic': tonic if mode != 'none' else None, 'alterations': [rational(v) for v in signature]}
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def key_label(key: dict) -> str:
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if not key.get('tonic'):
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return 'No key'
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label = pitch_name(key['tonic'])
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return label if key['mode'] in ('major', 'ionian') else label + ' ' + key['mode']
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def meter_length(meter: dict) -> Fraction:
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return sum((Fraction(sum(group['beats']) * 4, group['unit']) for group in meter.get('groups', [])), Fraction())
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def meter_label(meter: dict) -> str:
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if meter.get('unmetered'):
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return 'senza misura'
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return '+'.join('+'.join(map(str, group['beats'])) + '/' + str(group['unit']) for group in meter['groups'])
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def beat_lengths(meter: dict) -> list[Fraction]:
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result = []
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for group in meter.get('groups', []):
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beats, unit = group['beats'], group['unit']
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if len(beats) > 1:
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result.extend(Fraction(b * 4, unit) for b in beats)
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elif beats[0] > 3 and beats[0] % 3 == 0 and unit >= 8:
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result.extend([Fraction(12, unit)] * (beats[0] // 3))
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else:
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result.extend([Fraction(4, unit)] * beats[0])
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return result
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def validate_meter(meter: dict) -> None:
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groups = meter.get('groups', [])
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if not groups and not meter.get('unmetered'):
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raise ValueError('meter requires beat groups or senza misura')
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for group in groups:
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if type(group['unit']) is not int or not 0 < group['unit'] <= 4096 or not group['beats']:
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raise ValueError('meter unit must be between 1 and 4096 with nonempty beats')
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if any(type(b) is not int or not 0 < b <= 1024 for b in group['beats']):
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raise ValueError('meter count must be between 1 and 1024')
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def make_event(identifier: str, onset: Fraction, duration: Fraction, kind: str, pitches: list[dict] | None = None, written: dict | None = None) -> dict:
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if duration <= 0:
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raise ValueError('generated event duration must be positive')
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notation = written or written_for(duration)
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event = {'id': identifier, 'kind': kind, 'onset': rational(onset), 'duration': rational(duration), 'written': notation, 'hidden': False, 'pitches': []}
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for i, p in enumerate(pitches or []):
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event['pitches'].append({**copy.deepcopy(p), 'id': f'{identifier}-p{i + 1}', 'duration': rational(duration), 'written': copy.deepcopy(notation)})
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if 'alter' in event['pitches'][-1]:
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event['pitches'][-1]['alter'] = rational(alteration(p['alter']))
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return event
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def validate_document(document: dict) -> None:
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if document.get('schema_version') != SCHEMA_VERSION:
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raise ValueError('unsupported score schema; regenerate score assets with the current generator')
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staves = document.get('staves', [])
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if len(staves) != 1:
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raise ValueError('exactly one staff is currently supported')
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instruments = staves[0].get('instruments', [])
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instrument_ids = {i['id'] for i in instruments}
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if len(instruments) != len(instrument_ids) or any(not isinstance(i, str) or not i for i in instrument_ids):
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raise ValueError('score instruments require unique nonempty IDs')
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ids: set[str] = set()
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events: dict[str, dict] = {}
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tones: dict[str, tuple[dict, Fraction, Fraction, str]] = {}
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ownership: dict[str, str] = {}
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absolute = Fraction()
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for measure in staves[0]['measures']:
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if {'repeats', 'endings', 'initial_attributes'} & measure.keys():
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raise ValueError('repeat notation is unsupported; regenerate scores from music written out in reading order')
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length = fraction(measure['duration'])
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if length <= 0:
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raise ValueError('measure duration must be positive')
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voices = measure.get('voices', [])
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if not voices or len({v['id'] for v in voices}) != len(voices) or any(not v['id'] for v in voices):
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raise ValueError('measure requires uniquely identified voice lanes')
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previous_ends = {v['id']: Fraction() for v in voices}
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for voice, note in ((v, n) for v in voices for n in v['notes']):
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if any({'sound_ties', 'printed_ties'} & pitch.keys() for pitch in note['pitches']):
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raise ValueError('pass-specific tie metadata is unsupported; regenerate scores')
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if not note['id'] or note['id'] in ids:
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raise ValueError(f'duplicate event ID: {note["id"]}')
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ids.add(note['id'])
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events[note['id']] = note
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ownership[note['id']] = voice['id']
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if note.get('voice', voice['id']) != voice['id']:
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raise ValueError('event voice ownership disagrees with its lane')
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onset, duration = fraction(note['onset']), fraction(note['duration'])
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if onset < 0 or duration < 0 or onset + duration > length:
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raise ValueError(f'event outside measure: {note["id"]}')
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if note['kind'] not in ('note', 'rest', 'spacer'):
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raise ValueError('invalid event kind')
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if not note.get('grace'):
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if duration == 0 or onset < previous_ends[voice['id']]:
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raise ValueError('overlapping events in one rhythmic voice')
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previous_ends[voice['id']] = onset + duration
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elif duration != 0:
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raise ValueError('grace notes must not advance metric time')
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expected = metric_length(note['written'])
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if not note.get('grace') and not note.get('measure_rest') and duration != expected:
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raise ValueError('metric and written event durations disagree')
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if note['kind'] != 'note' and note.get('pitches'):
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raise ValueError('rests and spacers cannot contain pitches')
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if note['kind'] == 'note' and not note.get('pitches') and note.get('notehead') != 'slash':
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raise ValueError('pitched event requires at least one pitch')
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for p in note.get('pitches', []):
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if p.get('instrument') and p['instrument'] not in instrument_ids:
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raise ValueError('note refers to an unknown score instrument')
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if 'unpitched' in p:
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position = p['unpitched']
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if position['letter'] not in LETTERS or type(position['octave']) is not int:
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raise ValueError('invalid unpitched display position')
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else:
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pitch_number(p)
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if staves[0].get('tablature'):
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from generator.guitar import MAX_FRET, MIN_FRET, STANDARD_TUNING
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from generator.pitch import sounding_pitch
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tab = p.get('tablature', {})
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string, fret = tab.get('string'), tab.get('fret')
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if type(string) is not int or type(fret) is not int or string not in dict(STANDARD_TUNING) or not MIN_FRET <= fret <= MAX_FRET:
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raise ValueError(f'{p["id"]}: invalid generated tablature position')
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state = dict(measure)
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for change in measure.get('attributes', []):
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if fraction(change['onset']) <= onset:
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state.update(change)
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if dict(STANDARD_TUNING)[string] + fret != sounding_pitch(p, state):
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raise ValueError(f'{p["id"]}: tablature disagrees with sounding pitch')
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pd = fraction(p['duration'])
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if pd < 0 or (pd == 0 and not note.get('grace')) or pd > duration or not p['id'] or p['id'] in tones:
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raise ValueError('invalid chord-tone duration or duplicate ID')
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if not note.get('grace') and pd != metric_length(p['written']):
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raise ValueError('metric and written chord-tone durations disagree')
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tones[p['id']] = (p, absolute + onset, pd, voice['id'])
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for harmony in measure.get('harmonies', []):
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if not 0 <= fraction(harmony['onset']) < length:
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raise ValueError('harmony outside measure')
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for change in measure.get('attributes', []):
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if not 0 <= fraction(change['onset']) < length:
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raise ValueError('attribute change outside measure')
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for state in [measure, *measure.get('attributes', [])]:
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if 'meter' in state:
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validate_meter(state['meter'])
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if 'key' in state:
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if len(state['key']['alterations']) != 7:
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raise ValueError('key alterations must contain seven exact alterations')
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for value in state['key']['alterations']:
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alteration(value)
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if 'clef' in state and (state['clef']['sign'] not in ('G', 'F', 'C', 'percussion', 'none') or not 1 <= state['clef']['line'] <= 6 or not -3 <= state['clef']['octave_change'] <= 3):
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raise ValueError('invalid clef')
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absolute += length
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for identifier, (p, start, duration, voice) in tones.items():
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if target := p.get('tie_to'):
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if target not in tones:
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raise ValueError(f'dangling tie: {identifier} -> {target}')
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other, next_start, _, next_voice = tones[target]
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same_pitch = all(p.get(k) == other.get(k) for k in ('unpitched', 'instrument')) if 'unpitched' in p else all(p.get(k) == other.get(k) for k in ('letter', 'alter', 'octave'))
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if other.get('tie_from') != identifier or not same_pitch or next_voice != voice or next_start != start + duration:
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raise ValueError(f'invalid tie: {identifier} -> {target}')
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if staves[0].get('tablature') and p['tablature'] != other['tablature']:
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raise ValueError(f'{identifier}: tied guitar tones must retain their string and fret')
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if source := p.get('tie_from'):
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if source not in tones or tones[source][0].get('tie_to') != identifier:
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raise ValueError(f'dangling incoming tie: {identifier}')
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span_ids = set()
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event_order = {identifier: index for index, identifier in enumerate(events)}
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for span in staves[0].get('tuplets', []):
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if not span['id'] or span['id'] in span_ids or span['start'] not in ids or span['end'] not in ids or not 0 < span['note_count'] <= 1000000 or not 0 < span['space_count'] <= 1000000 or not 0 <= span['depth'] <= 16:
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raise ValueError('invalid tuplet span')
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members = [n['id'] for n in events.values() if span['id'] in n.get('tuplet_ids', [])]
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if not members or members[0] != span['start'] or members[-1] != span['end'] or event_order[span['start']] > event_order[span['end']]:
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raise ValueError('tuplet endpoints disagree with member events')
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if len({ownership[n] for n in members}) != 1 or span.get('voice', ownership[members[0]]) != ownership[members[0]]:
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raise ValueError('tuplet crosses independent voice lanes')
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if span.get('bracket', 'auto') not in ('yes', 'no', 'auto') or span.get('show_number', 'actual') not in ('none', 'actual', 'both'):
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raise ValueError('invalid tuplet appearance')
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span_ids.add(span['id'])
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for note in events.values():
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for verse in note.get('lyrics', []):
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start = tones[note['pitches'][0]['id']][1] if note['pitches'] else Fraction()
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if 'extend_to' in verse and not start < fraction(verse['extend_to']) <= absolute:
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raise ValueError('lyric extension endpoint is outside the score')
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if any(t not in span_ids for t in note.get('tuplet_ids', [])):
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raise ValueError('event refers to an unknown tuplet')
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if tremolo := note.get('tremolo'):
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if tremolo['type'] not in ('single', 'start', 'stop') or type(tremolo['marks']) is not int or not 0 <= tremolo['marks'] <= 8:
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raise ValueError('invalid measured tremolo')
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if tremolo['type'] in ('start', 'stop'):
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other = events.get(tremolo.get('partner'))
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expected_type = 'stop' if tremolo['type'] == 'start' else 'start'
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if not other or other.get('tremolo', {}).get('partner') != note['id'] or other['tremolo']['type'] != expected_type or other['tremolo']['marks'] != tremolo['marks']:
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raise ValueError('invalid paired tremolo')
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for span in staves[0].get('octave_shifts', []):
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if not 0 <= fraction(span['start']) < fraction(span['end']) <= absolute or not -3 <= span['octaves'] <= 3:
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raise ValueError('invalid octave-shift span')
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