
    "`                         ddZ d Zy)printc                 j     sd ndk(  rdgfdsd ndk(  rdgfd f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                      y N vs    2/usr/lib/python3/dist-packages/mpmath/usertools.py<lambda>zmonitor.<locals>.<lambda>*           r       c                 X    | \  }}t        dd   d|d|       dxx   dz  cc<   y )Nzin  r       r   )valueargskwargsincounts      r	   inputzmonitor.<locals>.input-   s,     LD&GAJf=>AJ!OJr   c                      y r   r   r   s    r	   r
   zmonitor.<locals>.<lambda>2   r   r   c                 H    t        dd   d|        dxx   dz  cc<   y )Nzout r   r   r   r   )r   outcounts    r	   outputzmonitor.<locals>.output5   s"    !e45QK1Kr   c                  <     | |f        | i |} |       |S r   r   )r   r   r   fr   r   s      r	   f_monitoredzmonitor.<locals>.f_monitored8   s*    tVntvq	r   r   )r   r   r   r   r   r   s   ``` @@r	   monitorr      sM    N 	'	#	 	7	3	
 r   c                     j                  d      }dv rd= sr$t              dk(  rsd    fd}n
 fd}n }ddlm}  |       } |       } |       }||z
  }	|	dkD  s|r|	S t	        d      D ]h  }
 |       } |         |         |         |         |         |         |         |         |         |         |       }t        |	||z
  d	z        }	j |	S )
z
    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 r   r   )argr   s   r	   r
   ztiming.<locals>.<lambda>M   s    # r   c                        i S r   r   )r   r   r   s   r	   r
   ztiming.<locals>.<lambda>O   s    4*6* r   )default_timerg?   
   )getlentimeitr$   rangemin)r   r   r   r    gclockt1r   t2tir"   s   ```        @r	   timingr2   ?   s     ::fD6Nvt9>&q'CA*A-wB!#%'rRU14x41X 7 	
ACACACACAC7
aB

 Hr   N)r   r   )r   r2   r   r   r	   <module>r3      s   ;zr   