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machar.cpython-35.pyc
X��f&* � @ s~ d Z d d l m Z m Z m Z d g Z d d l m Z d d l m Z Gd d � d e � Z e d k rz e e � � d S) z� Machine arithmetics - determine the parameters of the floating-point arithmetic system Author: Pearu Peterson, September 2003 � )�division�absolute_import�print_function�MachAr)�any)�errstatec @ sO e Z d Z d Z e e e d d � d d d � Z d d � Z d d � Z d S) r a� Diagnosing machine parameters. Attributes ---------- ibeta : int Radix in which numbers are represented. it : int Number of base-`ibeta` digits in the floating point mantissa M. machep : int Exponent of the smallest (most negative) power of `ibeta` that, added to 1.0, gives something different from 1.0 eps : float Floating-point number ``beta**machep`` (floating point precision) negep : int Exponent of the smallest power of `ibeta` that, substracted from 1.0, gives something different from 1.0. epsneg : float Floating-point number ``beta**negep``. iexp : int Number of bits in the exponent (including its sign and bias). minexp : int Smallest (most negative) power of `ibeta` consistent with there being no leading zeros in the mantissa. xmin : float Floating point number ``beta**minexp`` (the smallest [in magnitude] usable floating value). maxexp : int Smallest (positive) power of `ibeta` that causes overflow. xmax : float ``(1-epsneg) * beta**maxexp`` (the largest [in magnitude] usable floating value). irnd : int In ``range(6)``, information on what kind of rounding is done in addition, and on how underflow is handled. ngrd : int Number of 'guard digits' used when truncating the product of two mantissas to fit the representation. epsilon : float Same as `eps`. tiny : float Same as `xmin`. huge : float Same as `xmax`. precision : float ``- int(-log10(eps))`` resolution : float ``- 10**(-precision)`` Parameters ---------- float_conv : function, optional Function that converts an integer or integer array to a float or float array. Default is `float`. int_conv : function, optional Function that converts a float or float array to an integer or integer array. Default is `int`. float_to_float : function, optional Function that converts a float array to float. Default is `float`. Note that this does not seem to do anything useful in the current implementation. float_to_str : function, optional Function that converts a single float to a string. Default is ``lambda v:'%24.16e' %v``. title : str, optional Title that is printed in the string representation of `MachAr`. See Also -------- finfo : Machine limits for floating point types. iinfo : Machine limits for integer types. References ---------- .. [1] Press, Teukolsky, Vetterling and Flannery, "Numerical Recipes in C++," 2nd ed, Cambridge University Press, 2002, p. 31. c C s d | S)Nz%24.16e� )�vr r � /machar.py�<lambda>d s zMachAr.<lambda>z Python floating point numberc C s4 t d d � � | j | | | | | � Wd QRXd S)a! float_conv - convert integer to float (array) int_conv - convert float (array) to integer float_to_float - convert float array to float float_to_str - convert array float to str title - description of used floating point numbers Zunder�ignoreN)r �_do_init)�self� float_conv�int_conv�float_to_float� float_to_str�titler r r �__init__b s zMachAr.__init__c . C s� d } d } | d � } | | } | | } | } xb t | � D]; } | | } | | } | | } t | | | k � r? Pq? Wt | | | j f � � | } xd t | � D]= } | | } | | } | | | � } t | d k � r� Pq� Wt | | | j f � � | } | | � } d } | } xl t | � D]E } | d } | | } | | } | | } t | | | k � r/Pq/Wt | | | j f � � | | } | } xb t | � D]; } | | } | | } | | } t | | | k � r�Pq�Wt | | | j f � � | | } d } t | | | k � r2d } | | } | | } | d k rnt | | | k � rnd } | d } | | } | } x t | � D] } | | } q�W| } x� t | � D]Z } | | } t | | | k � r�P| | } | d } | d k r�t d t � � � q�Wt | | | j f � � | } | } | d } | } xb t | � D]; } | | } t | | | k � r�P| | } | d } q^Wt | | | j f � � | } d } | | } | d k r�t | | | | k � r�d } d } d } | } | | } d }! x� t | � D]� } | }" |" |" } | | } | | } t | | | k � st t | � |" k � r�P| | } t | | | k � r�P| d } | | } q'Wt | | | j f � � | d k r�| d }# | | }$ nA d }# | }% x$ | |% k r'|% | }% |# d }# qW|% |% d }$ x� t | � D]� } |" }& |" | }" |" | } |" | } t | | | k � r�t t |" � |& k � r�| d } | | } t | | |" k � r�t | |" k � r�d }! |" }& PqCPqCWt | | | j f � � | }' |$ | | d k r@| d k r@|$ |$ }$ |# d }# |$ |' }( | |! } | d k rj|( d }( |( |' } | d k r�| r�|( d }( | d k r�|( d }( t | |" k � r�|( d }( | | }) t |) | |) k � r�| | | }) |) |& | | | }) |( |' d } x7 t | � D]) }* | d k rA|) |) }) q"|) | }) q"W| | _ | | _ | | _ | | � | _ | | � | _ | | _ | | � | _ | | � | _ | | _ |# | _ |' | _ | |& � | _ | |& � | _ |( | _ | |) � | _ | |) � | _ | | _ | | _ | j | _ | j | _ | j | _ d d l }+ t |+ j | | j � � � | _ | | | | | }, |, | j }- | |- � | _ | |- � | _ d S) Ni' z'Did not converge after %d tries with %s� r � � zAcould not determine machine tolerance for 'negep', locals() -> %s� � ���)!�ranger � RuntimeErrorZdtype�locals�abs�ibeta�it�negep�epsnegZ _str_epsneg�machep�epsZ_str_eps�ngrd�iexp�minexp�xminZ _str_xmin�maxexp�xmaxZ _str_xmax�irndr �epsilonZtinyZhuge�math�int�log10Z precision� resolutionZ_str_resolution).r r r r r r Z max_iterN�msgZoneZtwoZzero�a�_ZtempZtemp1�bZitempr �betar Zbetahr+ Ztempar! Zbetain�ir" r# r$ r% �k�z�tZnxres�yr& ZmxZizr( r' r) r* �jr- Ztenr0 r r r r t s\ " & . . ( "zMachAr._do_initc C s d } | | j S)Na� Machine parameters for %(title)s --------------------------------------------------------------------- ibeta=%(ibeta)s it=%(it)s iexp=%(iexp)s ngrd=%(ngrd)s irnd=%(irnd)s machep=%(machep)s eps=%(_str_eps)s (beta**machep == epsilon) negep =%(negep)s epsneg=%(_str_epsneg)s (beta**epsneg) minexp=%(minexp)s xmin=%(_str_xmin)s (beta**minexp == tiny) maxexp=%(maxexp)s xmax=%(_str_xmax)s ((1-epsneg)*beta**maxexp == huge) --------------------------------------------------------------------- )�__dict__)r �fmtr r r �__str__G s zMachAr.__str__N) �__name__� __module__� __qualname__�__doc__�floatr. r r r> r r r r r s O ��__main__N)rB Z __future__r r r �__all__Znumpy.core.fromnumericr Znumpy.core.numericr �objectr r? �printr r r r �<module> s � E
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__init__.cpython-35.opt-1.pyc
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__init__.cpython-35.pyc
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_internal.cpython-35.opt-1.pyc
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_internal.cpython-35.pyc
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_methods.cpython-35.opt-1.pyc
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_methods.cpython-35.pyc
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arrayprint.cpython-35.opt-1.pyc
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arrayprint.cpython-35.pyc
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cversions.cpython-35.opt-1.pyc
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cversions.cpython-35.pyc
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defchararray.cpython-35.opt-1.pyc
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defchararray.cpython-35.pyc
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fromnumeric.cpython-35.opt-1.pyc
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fromnumeric.cpython-35.pyc
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function_base.cpython-35.opt-1.pyc
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function_base.cpython-35.pyc
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generate_numpy_api.cpython-35.opt-1.pyc
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generate_numpy_api.cpython-35.pyc
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getlimits.cpython-35.opt-1.pyc
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getlimits.cpython-35.pyc
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info.cpython-35.opt-1.pyc
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info.cpython-35.pyc
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machar.cpython-35.opt-1.pyc
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machar.cpython-35.pyc
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memmap.cpython-35.opt-1.pyc
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memmap.cpython-35.pyc
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numeric.cpython-35.opt-1.pyc
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numeric.cpython-35.pyc
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numerictypes.cpython-35.opt-1.pyc
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numerictypes.cpython-35.pyc
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records.cpython-35.opt-1.pyc
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records.cpython-35.pyc
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setup.cpython-35.opt-1.pyc
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setup.cpython-35.pyc
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setup_common.cpython-35.opt-1.pyc
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setup_common.cpython-35.pyc
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shape_base.cpython-35.opt-1.pyc
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shape_base.cpython-35.pyc
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