^j UdZddlZddlZddlZddlmZddlmZeje Z gdZ ee ge fZ eed< de de fd Zde defd Zefd e d e d e de fdZefd e d e de fdZde de defdZy)z# Various round-to-integer helpers. N)Callable) TypeAlias)noRoundotRound maybeRound roundFuncnearestMultipleShortestReprRoundingFunctionvaluereturnc|S)zReturn float value unmodified; do not round. Args: value (float): The input floating-point value. Returns float: The same value. r s [/var/www/html/metafoliadorv2/venv/lib/python3.12/site-packages/fontTools/misc/roundTools.pyrrs  LcDttj|dzS)aRound float value to nearest integer towards ``+Infinity``. The OpenType spec (in the section on `"normalization" of OpenType Font Variations `_) defines the required method for converting floating point values to fixed-point. In particular it specifies the following rounding strategy: for fractional values of 0.5 and higher, take the next higher integer; for other fractional values, truncate. This function rounds the floating-point value according to this strategy in preparation for conversion to fixed-point. Args: value (float): The input floating-point value. Returns int: The rounded value. ?)intmathfloorrs rrr&s* tzz%#+& ''rv toleranceroundc<||}t||z |kr|S|S)aRound only if rounding changes the value by no more than a given amount. Args: value (float): The input floating-point value. tolerance (float): The maximum absolute difference permitted. round (function): The rounding strategy, taking and giving a float. Returns float: A rounded value if within tolerance, otherwise the original. )abs)rrrroundeds rrr>s(AhG'A+&)37::rc~|dkr td|dk(rtS|dk\r|Stjt||S)aMake a conditional rounding strategy from a base strategy and tolerance. This preconfigures :func:`maybeRound` with fixed arguments, allowing it to be used anywhere a simple rounding function is accepted. The tolerance is validated to ensure it is absolute, and the cases where rounding would never or always occur are optimized. Rounding must never change a value by more than 0.5 for this to be sound (e.g. :py:func:`ceil` could change by too much). Args: tolerance (float): The maximum absolute difference permitted. round (function): The rounding strategy, taking and giving a float. Returns function: A strategy that conditionally rounds based on tolerance. rz#Rounding tolerance must be positiverrr) ValueErrorr functoolspartialrrs rrrMsE$1}>??A~C   Z9E JJrfactorc|syt||z |z}d|z}||z }||z}t|t|k7rttt |Sd}||z}||z}t |t |k(r||k7sJt t |D]}||||k7sn|jd}|ksJd||z z}||zS)a"Round to nearest multiple of factor and return shortest decimal representation. This chooses the float that is closer to a multiple of the given factor while having the shortest decimal representation (the least number of fractional decimal digits). For example, given the following: >>> nearestMultipleShortestRepr(-0.61883544921875, 1.0/(1<<14)) '-0.61884' Useful when you need to serialize or print a fixed-point number (or multiples thereof, such as F2Dot14 fractions of 180 degrees in COLRv1 PaintRotate) in a human-readable form. Args: value (value): The value to be rounded and serialized. factor (float): The value which the result is a close multiple of. Returns: str: A compact string representation of the value. z0.0rz%.8f.z%%.%df)rrstrfloatrlenrangefind)r r"epslohifmtiperiods rr r ks.  EFN #f ,E ,C B B 2w#b'5u&'' C rB rB r7c"g "(* * 3r7^ a5BqE> WWS\F A:: a&j !C ;r)__doc__rr loggingcollections.abcrtypingr getLogger__name__log__all__r&r __annotations__rrrrrr%r rrrr9s $g! 'w~6)6, 5 U (5(S(0FM ;% ;E ;2B ;QV ;;BKK'7KFVK<,u,e,,r