split_number.py

# Split a number into parts with a fixed size unit size

def split_number(number, parts, unit, min_units=0):
    current = []
    num_units = round(number / unit)
    for c in _divide_number_rec(num_units, parts, min_units, current):
        yield tuple(u * unit for u in c)

def _split_number_rec(num_units, parts, last_units, current):
    if parts <= 0:
        yield current
    else:
        min_units = last_units if parts > 1 else num_units
        max_units = num_units // parts
        for units in range(min_units, max_units + 1):
            current.append(units)
            yield from _split_number_rec(num_units - units, parts - 1, units, current)
            current.pop()

# Get one combination
print(next(split_number(4.5, 3, 0.25)))
# (0.0, 0.0, 4.5)
# Get all combinations
print(*split_number(4.5, 3, 0.25), sep='\n')
# (0.0, 0.0, 4.5)
# (0.0, 0.25, 4.25)
# (0.0, 0.5, 4.0)
# ...