def test_scoretools_Mutation_fuse_05():
r'''Fuses leaves with differing LilyPond multipliers.
'''
staff = abjad.Staff([abjad.Skip((1, 1)), abjad.Skip((1, 1))])
abjad.attach(abjad.Multiplier(1, 16), staff[0])
abjad.attach(abjad.Multiplier(5, 16), staff[1])
assert format(staff) == abjad.String.normalize(r'''
\new Staff
{
s1 * 1/16
s1 * 5/16
}
''')
assert abjad.inspect(staff).get_duration() == abjad.Duration(3, 8)
abjad.mutate(staff[:]).fuse()
assert format(staff) == abjad.String.normalize(r'''
\new Staff
{
s1 * 3/8
}
''')
assert abjad.inspect(staff).get_duration() == abjad.Duration(3, 8)
assert abjad.inspect(staff).is_well_formed()
def with_power_of_two_denominator(self, contents_multiplier=1):
r'''Makes new time signature equivalent to current
time signature with power-of-two denominator.
.. container:: example
Non-power-of-two denominator with power-of-two denominator:
>>> time_signature = abjad.TimeSignature((3, 12))
>>> time_signature.with_power_of_two_denominator()
TimeSignature((2, 8))
Returns new time signature.
'''
import abjad
contents_multiplier = abjad.Multiplier(contents_multiplier)
contents_multiplier = abjad.Multiplier(contents_multiplier)
non_power_of_two_denominator = self.denominator
if contents_multiplier == abjad.Multiplier(1):
power_of_two_denominator = \
abjad.mathtools.greatest_power_of_two_less_equal(
non_power_of_two_denominator)
else:
power_of_two_denominator = \
abjad.mathtools.greatest_power_of_two_less_equal(
non_power_of_two_denominator, 1)
non_power_of_two_pair = abjad.NonreducedFraction(self.pair)
power_of_two_fraction = non_power_of_two_pair.with_denominator(
power_of_two_denominator)
power_of_two_pair = power_of_two_fraction.pair
return type(self)(power_of_two_pair)
def test_scoretools_Mutation_fuse_08():
r'''Fuses fixed-multiplier tuplets with same multiplier in score.
'''
tuplet_1 = abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8")
beam = abjad.Beam()
abjad.attach(beam, tuplet_1[:])
tuplet_2 = abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8 f'8 g'8")
slur = abjad.Slur()
abjad.attach(slur, tuplet_2[:])
voice = abjad.Voice([tuplet_1, tuplet_2])
assert format(voice) == abjad.String.normalize(r'''
\new Voice
{
\times 2/3 {
c'8
[
d'8
e'8
]
}
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
c'8
(
d'8
e'8
f'8
g'8
)
}
}
''')
tuplets = voice[:]
abjad.mutate(tuplets).fuse()
assert format(voice) == abjad.String.normalize(r'''
\new Voice
{
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
c'8
[
d'8
e'8
]
c'8
(
d'8
e'8
f'8
g'8
)
}
}
''')
assert abjad.inspect(voice).is_well_formed()
def _scale(self, multiplier=None):
import abjad
if multiplier is None:
return
multiplier = abjad.Multiplier(multiplier)
old_time_signature = self.time_signature
if (abjad.mathtools.is_nonnegative_integer_power_of_two(multiplier) and
1 <= multiplier):
old_numerator = old_time_signature.numerator
old_denominator = old_time_signature.denominator
new_denominator = old_denominator // multiplier.numerator
pair = (old_numerator, new_denominator)
new_time_signature = abjad.TimeSignature(pair)
else:
old_denominator = old_time_signature.denominator
old_duration = old_time_signature.duration
new_duration = multiplier * old_duration
new_time_signature = self._duration_to_time_signature(
new_duration,
[old_denominator],
multiplier.denominator,
)
abjad.detach(abjad.TimeSignature, self)
abjad.attach(new_time_signature, self)
contents_multiplier_denominator = \
abjad.mathtools.greatest_power_of_two_less_equal(
multiplier.denominator)
pair = (multiplier.numerator, contents_multiplier_denominator)
contents_multiplier = abjad.Multiplier(*pair)
self._scale_contents(contents_multiplier)
def test_Mutation_fuse_08():
"""
Fuses fixed-multiplier tuplets with same multiplier in score.
"""
tuplet_1 = abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8")
abjad.beam(tuplet_1[:])
tuplet_2 = abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8 f'8 g'8")
abjad.slur(tuplet_2[:])
voice = abjad.Voice([tuplet_1, tuplet_2])
assert format(voice) == abjad.String.normalize(r"""
\new Voice
{
\times 2/3 {
c'8
[
d'8
e'8
]
}
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
c'8
(
d'8
e'8
f'8
g'8
)
}
}
"""), print(format(voice))
tuplets = voice[:]
abjad.mutate(tuplets).fuse()
assert format(voice) == abjad.String.normalize(r"""
\new Voice
{
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
c'8
[
d'8
e'8
]
c'8
(
d'8
e'8
f'8
g'8
)
}
}
"""), print(format(voice))
assert abjad.inspect(voice).wellformed()
def prolations(self):
r'''Prolations of rhythm tree node.
Returns tuple.
'''
import abjad
prolations = [abjad.Multiplier(1)]
improper_parentage = self.improper_parentage
pairs = abjad.sequence(improper_parentage).nwise()
for child, parent in pairs:
prolations.append(abjad.Multiplier(
parent.preprolated_duration, parent._get_contents_duration()))
return tuple(prolations)
def test_get_timespan_19():
"""
Offsets works on sequential tuplets.
"""
voice = abjad.Voice([
abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8"),
abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8"),
abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8"),
])
assert abjad.get.timespan(voice[0]).start_offset == 0 * abjad.Offset(1, 4)
assert abjad.get.timespan(voice[1]).start_offset == 1 * abjad.Offset(1, 4)
assert abjad.get.timespan(voice[2]).start_offset == 2 * abjad.Offset(1, 4)
def durate_pitch_contour_reservoir(pitch_contour_reservoir):
"""
Durates pitch contour reservoir.
"""
names = ["First Violin", "Second Violin", "Viola", "Cello", "Bass"]
durated_reservoir = {}
for i, name in enumerate(names):
long_duration = abjad.Duration(1, 2) * pow(2, i)
short_duration = long_duration / 2
rest_duration = long_duration * abjad.Multiplier(3, 2)
div = rest_duration // abjad.Duration(3, 2)
mod = rest_duration % abjad.Duration(3, 2)
initial_rest = abjad.MultimeasureRest((3, 2)) * div
maker = abjad.LeafMaker()
if mod:
initial_rest += maker([None], mod)
durated_contours = [tuple(initial_rest)]
pitch_contours = pitch_contour_reservoir[name]
durations = [long_duration, short_duration]
counter = 0
maker = abjad.LeafMaker()
for pitch_contour in pitch_contours:
contour = []
for pitch in pitch_contour:
leaves = maker([pitch], [durations[counter]])
contour.extend(leaves)
counter = (counter + 1) % 2
durated_contours.append(tuple(contour))
durated_reservoir[name] = tuple(durated_contours)
return durated_reservoir
def test_Mutation_scale_03():
"""
Scales leaves by tuplet-generating multiplier.
"""
voice = abjad.Voice("c'8 d'8 e'8 f'8")
abjad.mutate(voice).scale(abjad.Multiplier(4, 3))
assert format(voice) == abjad.String.normalize(r"""
\new Voice
{
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
c'4
}
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
d'4
}
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
e'4
}
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
f'4
}
}
""")
assert abjad.inspect(voice).wellformed()
def test_Mutation_scale_02():
"""
Scales leaves by tie-generating multiplier.
"""
voice = abjad.Voice("c'8 d'8 e'8 f'8")
abjad.mutate(voice).scale(abjad.Multiplier(5, 4))
assert format(voice) == abjad.String.normalize(r"""
\new Voice
{
c'8
~
c'32
d'8
~
d'32
e'8
~
e'32
f'8
~
f'32
}
""")
assert abjad.inspect(voice).wellformed()
def test_scoretools_Leaf__multiplied_duration_01():
r'''Mulplied duration == written * multiplier.
'''
note = abjad.Note("c'4")
abjad.attach(abjad.Multiplier(1, 2), note)
assert note._get_multiplied_duration() == abjad.Duration(1, 8)
def implied_prolation(self):
r'''Gets implied prolation.
.. container:: example
Gets implied prolation:
>>> for denominator in range(1, 16 + 1):
... duration = abjad.Duration(1, denominator)
... result = duration.implied_prolation
... print('{!s}\t{!s}'.format(duration, result))
...
1 1
1/2 1
1/3 2/3
1/4 1
1/5 4/5
1/6 2/3
1/7 4/7
1/8 1
1/9 8/9
1/10 4/5
1/11 8/11
1/12 2/3
1/13 8/13
1/14 4/7
1/15 8/15
1/16 1
Returns multipler.
'''
import abjad
numerator = \
mathtools.greatest_power_of_two_less_equal(self.denominator)
return abjad.Multiplier(numerator, self.denominator)
def multiply_by(n, note):
new_n = deepcopy(note)
new_n.written_duration /= 4
tup = abj.Tuplet(abj.Multiplier(2, n), [])
for varied_note in vary(new_n, n):
tup.append(varied_note)
return tup
def test_scoretools_Mutation_scale_03():
r'''Scales leaves by tuplet-generating multiplier.
'''
voice = abjad.Voice("c'8 d'8 e'8 f'8")
abjad.mutate(voice).scale(abjad.Multiplier(4, 3))
assert format(voice) == abjad.String.normalize(r'''
\new Voice
{
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
c'4
}
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
d'4
}
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
e'4
}
\tweak edge-height #'(0.7 . 0)
\times 2/3 {
f'4
}
}
''')
assert abjad.inspect(voice).is_well_formed()
def test_scoretools_Mutation_scale_02():
r'''Scales leaves by tie-generating multiplier.
'''
voice = abjad.Voice("c'8 d'8 e'8 f'8")
abjad.mutate(voice).scale(abjad.Multiplier(5, 4))
assert format(voice) == abjad.String.normalize(r'''
\new Voice
{
c'8
~
c'32
d'8
~
d'32
e'8
~
e'32
f'8
~
f'32
}
''')
assert abjad.inspect(voice).is_well_formed()
def test_scoretools_Tuplet___setattr___01():
r'''Slots constrain tuplet attributes.
'''
tuplet = abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8")
assert pytest.raises(AttributeError, "tuplet.foo = 'bar'")
def test_scoretools_Component__remove_and_shrink_durated_parent_containers_04(
):
r'''Remove leaf from tuplet.
'''
tuplet = abjad.Tuplet(abjad.Multiplier(4, 5), "c'8 d'8 e'8 f'8 g'8")
assert format(tuplet) == abjad.String.normalize(r'''
\times 4/5 {
c'8
d'8
e'8
f'8
g'8
}
''')
tuplet[0]._remove_and_shrink_durated_parent_containers()
assert format(tuplet) == abjad.String.normalize(r'''
\tweak edge-height #'(0.7 . 0)
\times 4/5 {
d'8
e'8
f'8
g'8
}
''')
assert abjad.inspect(tuplet).is_well_formed()
def multipliers(self):
r'''Gets multipliers of ratio.
.. container:: example
Ratio of two numbers:
>>> ratio = abjad.Ratio((2, 4))
>>> ratio.multipliers
(Multiplier(1, 3), Multiplier(2, 3))
.. container:: example
Ratio of three numbers:
>>> ratio = abjad.Ratio((2, 4, 2))
>>> ratio.multipliers
(Multiplier(1, 4), Multiplier(1, 2), Multiplier(1, 4))
Returns tuple of multipliers.
'''
import abjad
weight = sum(self.numbers)
multipliers = [abjad.Multiplier((_, weight)) for _ in self.numbers]
multipliers = tuple(multipliers)
return multipliers
def __div__(self, *arguments):
"""
Divides duration by ``arguments``.
.. container:: example
>>> abjad.Duration(1) / abjad.NonreducedFraction(3, 3)
NonreducedFraction(3, 3)
>>> abjad.NonreducedFraction(3, 3) / abjad.Duration(1)
NonreducedFraction(3, 3)
Returns multiplier.
"""
import abjad
if len(arguments) == 1 and isinstance(arguments[0], type(self)):
fraction = Fraction.__truediv__(self, *arguments)
result = abjad.Multiplier(fraction)
elif len(arguments) == 1 and isinstance(
arguments[0], abjad.NonreducedFraction):
result = arguments[0].__rdiv__(self)
else:
result = type(self)(Fraction.__truediv__(self, *arguments))
return result
def __call__(self, time_signatures):
r'''Calls measure-maker on `time_signatures`.
Returns measures.
'''
import abjad
measures = []
for time_signature in time_signatures:
time_signature = abjad.TimeSignature(time_signature)
measure = abjad.Measure(
time_signature,
implicit_scaling=self.implicit_scaling,
)
measures.append(measure)
for i, measure in enumerate(measures):
skip = abjad.Skip(1)
# allow zero-update iteration
time_signature = measure.time_signature
duration = time_signature.duration
if measure.implicit_scaling:
implied_prolation = time_signature.implied_prolation
multiplier = duration.__div__(implied_prolation)
else:
multiplier = abjad.Multiplier(duration)
abjad.attach(multiplier, skip)
measure[:] = [skip]
# REMOVE: spanners attach only to leaves:
#for spanner in measure._get_spanners():
# spanner._remove(measure)
return abjad.select(measures)
def _prolations(self):
import abjad
prolations = []
default = abjad.Multiplier(1)
for parent in self:
prolation = getattr(parent, 'implied_prolation', default)
prolations.append(prolation)
return prolations
def prolations(self):
"""
Prolations of rhythm tree node.
Returns tuple.
"""
import abjad
prolations = [abjad.Multiplier(1)]
pairs = abjad.sequence(self.parentage).nwise()
for child, parent in pairs:
prolations.append(
abjad.Multiplier(
parent.preprolated_duration,
parent._get_contents_duration(),
))
return tuple(prolations)
def prolation(self):
r'''Gets prolation.
Returns multiplier.
'''
import abjad
prolations = [abjad.Multiplier(1)] + self._prolations
products = mathtools.cumulative_products(prolations)
return products[-1]
def _all_contents_are_scalable_by_multiplier(self, multiplier):
import abjad
multiplier = abjad.Multiplier(multiplier)
for component in self:
if isinstance(component, abjad.Leaf):
candidate_duration = multiplier * component.written_duration
if not candidate_duration.is_assignable:
return False
return True
def test_scoretools_Tuplet___init___01():
r'''Initializes tuplet from empty input.
'''
tuplet = abjad.Tuplet()
assert format(tuplet) == '\\times 2/3 {\n}'
assert tuplet.multiplier == abjad.Multiplier(2, 3)
assert not len(tuplet)
def scale_and_chop_staff(voice_number, staff, time_signature):
# Scales a staff's durations by a factor and then chops & ties everything at 3/4 measure boundaries.
scale_factor = 2 ** voice_number
copy = abjad.mutate(staff).copy()
for leaf in copy:
leaf.written_pitch -= voice_number * 12
abjad.mutate(copy).scale(abjad.Multiplier(scale_factor, 1))
abjad.mutate(copy[:]).split([time_signature], cyclic=True)
return copy
def __init__(
self,
contact_point=None,
):
import abjad
if contact_point is not None:
contact_point = abjad.Multiplier(contact_point)
assert 0 <= contact_point <= 1
self._contact_point = contact_point
def test_Tuplet___setattr___01():
"""
Slots constrain tuplet attributes.
"""
tuplet = abjad.Tuplet(abjad.Multiplier(2, 3), "c'8 d'8 e'8")
with pytest.raises(AttributeError):
tuplet.foo = "bar"
def __illustrate__(self, range_=None, scale=None):
r'''Illustrates offset counter.
.. container:: example
>>> timespans = abjad.TimespanList([
... abjad.Timespan(0, 16),
... abjad.Timespan(5, 12),
... abjad.Timespan(-2, 8),
... ])
>>> timespan_operand = abjad.Timespan(6, 10)
>>> timespans = timespans - timespan_operand
>>> offset_counter = abjad.OffsetCounter(timespans)
>>> abjad.show(offset_counter, scale=0.5) # doctest: +SKIP
Returns LilyPond file.
'''
import abjad
if not self:
return markuptools.Markup.null().__illustrate__()
if isinstance(range_, abjad.Timespan):
minimum, maximum = range_.start_offset, range_.stop_offset
elif range_ is not None:
minimum, maximum = range_
else:
minimum, maximum = min(self), max(self)
minimum = float(abjad.Offset(minimum))
maximum = float(abjad.Offset(maximum))
if scale is None:
scale = 1.
assert 0 < scale
postscript_scale = 150. / (maximum - minimum)
postscript_scale *= float(scale)
postscript_x_offset = (minimum * postscript_scale) - 1
ps = markuptools.Postscript()
ps = ps.setlinewidth(0.2)
ps = ps.setdash([2, 1])
for offset, count in sorted(self.items()):
offset = (float(offset) * postscript_scale)
offset -= postscript_x_offset
ps = ps.moveto(offset, -1)
ps = ps.rlineto(0, (float(count) * -3) + 1)
ps = ps.stroke()
markup = markuptools.Markup.postscript(ps)
pieces = [markup]
for offset in sorted(self):
offset = abjad.Multiplier(offset)
numerator, denominator = offset.numerator, offset.denominator
fraction = abjad.Markup.fraction(numerator, denominator)
fraction = fraction.center_align().fontsize(-3).sans()
x_translation = (float(offset) * postscript_scale)
x_translation -= postscript_x_offset
fraction = fraction.translate((x_translation, 1))
pieces.append(fraction)
markup = abjad.Markup.overlay(pieces)
return markup.__illustrate__()
def test_Tuplet___init___01():
"""
Initializes tuplet from empty input.
"""
tuplet = abjad.Tuplet()
assert format(tuplet) == "\\times 2/3 {\n}"
assert tuplet.multiplier == abjad.Multiplier(2, 3)
assert not len(tuplet)