def getBeatFloatOrFrac(self):
'''
Gets the beat number as a float or fraction. Time signature independent
>>> RTB = romanText.rtObjects.RTBeat
Simple ones:
>>> RTB('b1').getBeatFloatOrFrac()
1.0
>>> RTB('b2').getBeatFloatOrFrac()
2.0
etc.
with easy float:
>>> RTB('b1.5').getBeatFloatOrFrac()
1.5
>>> RTB('b1.25').getBeatFloatOrFrac()
1.25
with harder:
>>> RTB('b1.33').getBeatFloatOrFrac()
Fraction(4, 3)
>>> RTB('b2.66').getBeatFloatOrFrac()
Fraction(8, 3)
>>> RTB('b1.2').getBeatFloatOrFrac()
Fraction(6, 5)
A third digit of .5 adds 1/2 of 1/DENOM of before. Here DENOM is 3 (in 5/3) so
we add 1/6 to 5/3 to get 11/6:
>>> RTB('b1.66').getBeatFloatOrFrac()
Fraction(5, 3)
>>> RTB('b1.66.5').getBeatFloatOrFrac()
Fraction(11, 6)
Similarly .25 adds 1/4 of 1/DENOM... to get 21/12 or 7/4 or 1.75
>>> RTB('b1.66.25').getBeatFloatOrFrac()
1.75
And .75 adds 3/4 of 1/DENOM to get 23/12
>>> RTB('b1.66.75').getBeatFloatOrFrac()
Fraction(23, 12)
A weird way of writing 'b1.5'
>>> RTB('b1.33.5').getBeatFloatOrFrac()
1.5
'''
beatStr = self.src.replace('b', '')
# there may be more than one decimal in the number, such as
# 1.66.5, to show halfway through 2/3rd of a beat
parts = beatStr.split('.')
mainBeat = int(parts[0])
if len(parts) > 1: # 1.66
fracPart = common.addFloatPrecision('.' + parts[1])
else:
fracPart = 0.0
if len(parts) > 2: # 1.66.5
fracPartDivisor = float('.' + parts[2]) # 0.5
if isinstance(fracPart, float):
fracPart = Fraction.from_float(fracPart)
denom = fracPart.denominator
fracBeatFrac = common.opFrac(1./(denom/fracPartDivisor))
else:
fracBeatFrac = 0.0
if len(parts) > 3:
environLocal.printDebug(['got unexpected beat: %s' % self.src])
raise RTTokenException('cannot handle specification: %s' % self.src)
beat = common.opFrac(mainBeat + fracPart + fracBeatFrac)
return beat
def getBeatFloatOrFrac(self):
'''
Gets the beat number as a float or fraction. Time signature independent
>>> RTB = romanText.rtObjects.RTBeat
Simple ones:
>>> RTB('b1').getBeatFloatOrFrac()
1.0
>>> RTB('b2').getBeatFloatOrFrac()
2.0
etc.
with easy float:
>>> RTB('b1.5').getBeatFloatOrFrac()
1.5
>>> RTB('b1.25').getBeatFloatOrFrac()
1.25
with harder:
>>> RTB('b1.33').getBeatFloatOrFrac()
Fraction(4, 3)
>>> RTB('b2.66').getBeatFloatOrFrac()
Fraction(8, 3)
>>> RTB('b1.2').getBeatFloatOrFrac()
Fraction(6, 5)
A third digit of .5 adds 1/2 of 1/DENOM of before. Here DENOM is 3 (in 5/3) so
we add 1/6 to 5/3 to get 11/6:
>>> RTB('b1.66').getBeatFloatOrFrac()
Fraction(5, 3)
>>> RTB('b1.66.5').getBeatFloatOrFrac()
Fraction(11, 6)
Similarly .25 adds 1/4 of 1/DENOM... to get 21/12 or 7/4 or 1.75
>>> RTB('b1.66.25').getBeatFloatOrFrac()
1.75
And .75 adds 3/4 of 1/DENOM to get 23/12
>>> RTB('b1.66.75').getBeatFloatOrFrac()
Fraction(23, 12)
A weird way of writing 'b1.5'
>>> RTB('b1.33.5').getBeatFloatOrFrac()
1.5
'''
beatStr = self.src.replace('b', '')
# there may be more than one decimal in the number, such as
# 1.66.5, to show halfway through 2/3rd of a beat
parts = beatStr.split('.')
mainBeat = int(parts[0])
if len(parts) > 1: # 1.66
fracPart = common.addFloatPrecision('.' + parts[1])
else:
fracPart = 0.0
if len(parts) > 2: # 1.66.5
fracPartDivisor = float('.' + parts[2]) # 0.5
if isinstance(fracPart, float):
fracPart = fractions.Fraction.from_float(fracPart)
denom = fracPart.denominator
fracBeatFrac = common.opFrac(1. / (denom / fracPartDivisor))
else:
fracBeatFrac = 0.0
if len(parts) > 3:
environLocal.printDebug(['got unexpected beat: %s' % self.src])
raise RTTokenException('cannot handle specification: %s' %
self.src)
beat = common.opFrac(mainBeat + fracPart + fracBeatFrac)
return beat