U
    :qLeี  ใ                   @   s   dddZ dd ZdS )ฺprintc                    sd   sdd ndkr(dgfdds6dd ndkrPdgfdd	 fd
d}|S )az  
    Returns a wrapped copy of *f* that monitors evaluation by calling
    *input* with every input (*args*, *kwargs*) passed to *f* and
    *output* with every value returned from *f*. The default action
    (specify using the special string value ``'print'``) is to print
    inputs and outputs to stdout, along with the total evaluation
    count::

        >>> from mpmath import *
        >>> mp.dps = 5; mp.pretty = False
        >>> diff(monitor(exp), 1)   # diff will eval f(x-h) and f(x+h)
        in  0 (mpf('0.99999999906867742538452148'),) {}
        out 0 mpf('2.7182818259274480055282064')
        in  1 (mpf('1.0000000009313225746154785'),) {}
        out 1 mpf('2.7182818309906424675501024')
        mpf('2.7182808')

    To disable either the input or the output handler, you may
    pass *None* as argument.

    Custom input and output handlers may be used e.g. to store
    results for later analysis::

        >>> mp.dps = 15
        >>> input = []
        >>> output = []
        >>> findroot(monitor(sin, input.append, output.append), 3.0)
        mpf('3.1415926535897932')
        >>> len(input)  # Count number of evaluations
        9
        >>> print(input[3]); print(output[3])
        ((mpf('3.1415076583334066'),), {})
        8.49952562843408e-5
        >>> print(input[4]); print(output[4])
        ((mpf('3.1415928201669122'),), {})
        -1.66577118985331e-7

    c                 S   s   d S ฉNฉ ฉฺvr   r   ๚g/home/p21-0144/sympy/latex2sympy2solve-back-end/sympyEq/lib/python3.8/site-packages/mpmath/usertools.pyฺ<lambda>*   ๓    zmonitor.<locals>.<lambda>r   ้    c                    s2   | \}}t d d ||f   d  d7  < d S )Nzin  %s %r %rr	   ้   ฉr   )ฺvalueฺargsฺkwargs)ฺincountr   r   ฺinput-   s    zmonitor.<locals>.inputc                 S   s   d S r   r   r   r   r   r   r   2   r   c                    s(   t d d | f   d  d7  < d S )Nz	out %s %rr	   r
   r   )r   )ฺoutcountr   r   ฺoutput5   s    zmonitor.<locals>.outputc                     s"   | |f  | |}| |S r   r   )r   r   r   )ฺfr   r   r   r   ฺf_monitored8   s    
zmonitor.<locals>.f_monitoredr   )r   r   r   r   r   )r   r   r   r   r   r   ฺmonitor   s    '

r   c                    s     dก}dkrd= s rZtdkrHsHd   fdd}q^fdd}n}ddlm} | }| }| }|| }	|	dks|r|	S td	D ]^}
| }|  |  |  |  |  |  |  |  |  |  | }t|	|| d
 }	q|	S )z๒
    Returns time elapsed for evaluating ``f()``. Optionally arguments
    may be passed to time the execution of ``f(*args, **kwargs)``.

    If the first call is very quick, ``f`` is called
    repeatedly and the best time is returned.
    ฺoncer
   r	   c                      s    S r   r   r   )ฺargr   r   r   r   M   r   ztiming.<locals>.<lambda>c                      s
    S r   r   r   )r   r   r   r   r   r   O   r   )ฺdefault_timergฉ?้   ้
   )ฺgetฺlenฺtimeitr   ฺrangeฺmin)r   r   r   r   ฺgฺclockฺt1r   ฺt2ฺtฺir   )r   r   r   r   r   ฺtiming?   s>    
            r&   N)r   r   )r   r&   r   r   r   r   ฺ<module>   s   
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