o
    he                     @   sp   d Z ddlZddlZddlZeeZg dZdd Zdd Z	e	fdd	Z
e	fd
dZdededefddZdS )z#
Various round-to-integer helpers.
    N)noRoundotRound
maybeRound	roundFuncnearestMultipleShortestReprc                 C   s   | S N valuer   r   m/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/fontTools/misc/roundTools.pyr      s   r   c                 C   s   t t| d S )a  Round float value to nearest integer towards ``+Infinity``.

    The OpenType spec (in the section on `"normalization" of OpenType Font Variations <https://docs.microsoft.com/en-us/typography/opentype/spec/otvaroverview#coordinate-scales-and-normalization>`_)
    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.
          ?)intmathfloorr	   r   r   r   r      s   r   c                 C   s    || }t ||  |kr|S | S r   )abs)v	toleranceroundroundedr   r   r   r   0   s   r   c                 C   s8   | dk rt d| dkrtS | dkr|S tjt| |dS )Nr   z#Rounding tolerance must be positiver   r   r   )
ValueErrorr   	functoolspartialr   r   r   r   r   r   5   s   r   r
   factorreturnc                 C   s   | sdS t | | | } d| }| | }| | }t|t|kr(ttt| S d}|| }|| }t|t|kr>||ks@J tt|D ]}|| || krR nqF|d}||k s^J 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.
    z0.0r   z%.8f.z%%.%df)r   r   strfloatr   lenrangefind)r
   r   epslohifmtiperiodr   r   r   r   B   s(   
r   )__doc__r   r   logging	getLogger__name__log__all__r   r   r   r   r   r   r   r   r   r   r   <module>   s    
	