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3 2��j��@spdZddlZddlZddlZeje�ZddddgZdd�Zdd�Z e fd d�Z e fd d�Zeee d�dd �ZdS)z# Various round-to-integer helpers. �N�noRound�otRound� maybeRound� roundFunccCs|S)N�)�valuerr�>/tmp/pip-build-_d5lkt3n/fonttools/fontTools/misc/roundTools.pyrscCsttj|d��S)a�Round 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 float: The rounded value. g�?)�int�math�floor)rrrrrscCs ||�}t||�|kr|S|S)N)�abs)�v� tolerance�roundZroundedrrrr,scCs8|dkrtd��|dkrtS|dkr(|Stjt||d�S)Nrz#Rounding tolerance must be positiveg�?)rr)� ValueErrorr� functools�partialr)rrrrrr0s)r�factor�returncCs�|sdSt||�|}d|}||}||}t|�t|�krPttt|��Sd}||}||}t|�t|�kr|||ks�t�x&tt|��D]}||||kr�Pq�W|jd�}||ks�t�d||}||S)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. z0.0g�?z%.8f�.z%%.%df) rr �str�floatr�len�AssertionError�range�find)rr�eps�lo�hi�fmt�iZperiodrrr�nearestMultipleShortestRepr=s& r!)�__doc__r r�logging� getLogger�__name__�log�__all__rrrrrrr!rrrr�s