fonttools/Lib/fontTools/misc/fixedTools.py

48 lines
1.3 KiB
Python

"""fontTools.misc.fixedTools.py -- tools for working with fixed numbers.
"""
from __future__ import print_function, division, absolute_import
from fontTools.misc.py23 import *
__all__ = [
"fixedToFloat",
"floatToFixed",
]
def fixedToFloat(value, precisionBits):
"""Converts a fixed-point number to a float, choosing the float
that has the shortest decimal reprentation. Eg. to convert a
fixed number in a 2.14 format, use precisionBits=14. This is
pretty slow compared to a simple division. Use sporadically.
"""
if not value: return 0.0
scale = 1 << precisionBits
value /= scale
eps = .5 / scale
lo = value - eps
hi = value + eps
# If the range of valid choices spans an integer, return the integer.
if int(lo) != int(hi):
return round(value)
fmt = "%.8f"
lo = fmt % lo
hi = fmt % hi
i = 0
length = min(len(lo), len(hi))
while i < length and lo[i] == hi[i]:
i += 1
out = lo[:i]
assert -1 != out.find('.') # Both ends should be the same past decimal point
if i < length:
fmt = "%%.%df" % (i - out.find('.'))
value = fmt % value
out += value[-1]
return float(out)
def floatToFixed(value, precisionBits):
"""Converts a float to a fixed-point number given the number of
precisionBits. Ie. int(round(value * (1<<precisionBits))).
"""
return int(round(value * (1<<precisionBits)))