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This method takes a single quantity, in the largest unit of the system, and converts it to mixed units.
# - - - M i x e d U n i t s . s i n g l e T o M i x
def singleToMix ( self, value ):
"""Convert to mixed units.
[ value is a float ->
return value as a sequence of coefficients in
self's system ]
"""
The first element of the result list is
the whole part of the value.
#-- 1 --
# [ whole := whole part of value
# frac := fractional part of value ]
whole, frac = divmod ( value, 1.0 )
result = [int(whole)]
For each factor in the system, we then multiply the fraction from the previous step by that factor, and separate the result into whole and fractional parts.
#-- 2 --
# [ result := result with integral parts of value
# in self's system appended ]
for factorx in range(len(self.factors)):
frac *= self.factors[factorx]
whole, frac = divmod ( frac, 1.0 )
result.append ( int(whole) )
After the loop above, frac contains the
fractional part of the value in the smallest unit, so we
must add it to the last element of the result.
#-- 3 --
# [ result := result with frac added to its last element ]
result[-1] += frac
#-- 4 --
return result