def test_ceil(self):
ordered_list = [(10, 100), (5, 20), (7, 70), (2, 50)]
om = OrderedMap(ordered_list)
answers = [2, 5, 5, 5, 7, 7, 10, 10, 10, None, None]
for i in range(1, 12):
key = om.ceil(i)
self.assertTrue(key == answers[i - 1])
mapto = None if key is None else om[key]
print('find {0} is {1} --> {2}'.format(i, key, mapto))
class ChromaticRangeInterpreter(PitchRangeInterpreter):
"""
Class that interprets a number as being in the chromatic range A:0-C:8,
and computes pitches that relate to that range.
"""
def __init__(self,
anchor_pitch=DiatonicPitch.parse('A:0'),
anchor_value=9,
pitch_unit=1):
"""
Constructor,
"""
self.__anchor_pitch = anchor_pitch
if not isinstance(self.anchor_pitch, DiatonicPitch):
raise Exception('Anchor is not a DiatonicPitch')
self.__anchor_value = anchor_value
self.__pitch_unit = pitch_unit
anchor_index = self.anchor_pitch.chromatic_distance
base_value = anchor_value - anchor_index * pitch_unit
self.value_to_pitch = OrderedMap()
self.pitch_to_value = dict()
for i in range(ChromaticScale.chromatic_start_index(),
ChromaticScale.chromatic_end_index() + 1):
pitch = DiatonicFoundation.map_to_diatonic_scale(i)[0]
value = base_value + i * pitch_unit
self.value_to_pitch.insert(value, pitch)
self.pitch_to_value[pitch] = value
PitchRangeInterpreter.__init__(self)
@property
def anchor_pitch(self):
return self.__anchor_pitch
@property
def anchor_value(self):
return self.__anchor_value
@property
def pitch_unit(self):
return self.__pitch_unit
def eval_as_nearest_pitch(self, v):
candidates = self.eval_as_pitch(v)
if len(candidates) == 1:
return candidates[0]
v1 = self.pitch_to_value[candidates[0]]
v2 = self.pitch_to_value[candidates[1]]
if v <= (v1 + v2) / 2:
return candidates[0]
return candidates[1]
def value_for(self, diatonic_pitch):
if isinstance(diatonic_pitch, str):
diatonic_pitch = DiatonicPitch.parse(diatonic_pitch)
if diatonic_pitch is None:
return None
if diatonic_pitch not in self.pitch_to_value:
enharmonics = diatonic_pitch.enharmonics()
found = False
for p in enharmonics:
if p in self.pitch_to_value:
diatonic_pitch = p
found = True
break
if not found:
return None
return self.pitch_to_value[
diatonic_pitch] if diatonic_pitch in self.pitch_to_value else None
def eval_as_pitch(self, v):
floor_value = self.value_to_pitch.floor(v)
ceil_value = self.value_to_pitch.ceil(v)
if floor_value is None or ceil_value is None:
raise ChromaticRangeInterpreterException(
'Illegal chromatic pitch range paramger value {0}.'.format(v))
if math.isclose(v, self.value_for(self.value_to_pitch[floor_value])):
return [self.value_to_pitch[floor_value]]
else:
p1 = self.value_to_pitch[floor_value]
p2 = self.value_to_pitch[ceil_value]
return [p1, p2]
def eval_as_accurate_chromatic_distance(self, v):
floor_value = self.value_to_pitch.floor(v)
if floor_value is None:
raise ChromaticRangeInterpreterException(
'Illegal chromatic pitch range paramger value {0}.'.format(v))
low_pitch = self.value_to_pitch[floor_value]
index = low_pitch.chromatic_distance
if index >= ChromaticScale.chromatic_end_index() or math.isclose(
v, floor_value):
return low_pitch.chromatic_distance
high_pitch = DiatonicFoundation.map_to_diatonic_scale(index + 1)[0]
return low_pitch.chromatic_distance + \
((v - floor_value) / self.pitch_unit) * \
(high_pitch.chromatic_distance - low_pitch.chromatic_distance)
