o U=i` @sjdZddgZddlZddlmZddlmZddlmZdd lm Z dd lm Z m Z m Z dd lmZmZmZmZd d ZddZGdddZe je je je je je jiZdZe jee j de!dde jee j"de!dde j#ee j$de!dde j%ee j&de!ddiZ'iZ(ddZ)iZ*ddZ+d d!Z,d"d#Z-ed$Gd%ddZ.ed$Gd&ddZ/dS)'zJMachine limits for Float32 and Float64 and (long double) if available... finfoiinfoN)MachAr) set_module)numeric) numerictypes)arrayinfNaN)log10exp2 nextafterisnancC|jdkr |}d|_|S)zfix rank-0 --> rank-1r)rN)ndimcopyshapearZC:\Users\psant\Downloads\PAF backend\school\venv\Lib\site-packages\numpy/core/getlimits.py_fr0 rcCr)zfix rank > 0 --> rank-0rrN)sizerrrrrr_fr1rrc@sNeZdZdZddddZeddZedd Zd d Zd d Z ddZ dS) MachArLikez$ Object to simulate MachAr instance N)smallest_subnormalc Ks4t||_||_|jd|_|s t|d|d|jd|_n||_|||_|_|||_ |||_ |_ |||_ |||_ |_|jd||_|j|tt|j |_||d|j |_||j|_||j |_||j |_||j |_||j|_||j |_dS)Ntitlerrdtypeitype )_MACHAR_PARAMSparamsftyperr_smallest_subnormal_float_to_floatepsilonepsepsnegZxmaxhugeZxminsmallest_normaltinyibeta__dict__updateintr precision _float_conv resolution _float_to_str_str_eps _str_epsneg _str_xmin _str_xmax_str_resolution_str_smallest_normal) selfr%r)r*r+r-r.rkwargsrrr__init__"s2      zMachArLike.__init__cCs6|j}|d|krtjd|jtdd||S)a Return the value for the smallest subnormal. Returns ------- smallest_subnormal : float value for the smallest subnormal. Warns ----- UserWarning If the calculated value for the smallest subnormal is zero. rz8The value of the smallest subnormal for {} type is zero. stacklevelN)r&r%warningswarnformat UserWarningr'r<valuerrrr>s  zMachArLike.smallest_subnormalcCs ||jS)z;Return the string representation of the smallest subnormal.N)r5rr<rrr_str_smallest_subnormalVs z"MachArLike._str_smallest_subnormalcCst||S)zConverts float to float. Parameters ---------- value : float value to be converted. N)rr3rFrrrr'[zMachArLike._float_to_floatcCst|g|jS)zConverts float to conv. Parameters ---------- value : float value to be converted. N)r r%rFrrrr3erJzMachArLike._float_convcCs|jdtt|d|jS)zConverts float to str. Parameters ---------- value : float value to be converted. fmtrN)r$r rr%rFrrrr5oszMachArLike._float_to_str) __name__ __module__ __qualname____doc__r>propertyrrIr'r3r5rrrrr s    rz(numpy {} precision floating point numberz%24.16edouble)r!rKrz%15.7esinglez%sz long doublez%12.5ehalfcCs |t|<dSN) _KNOWN_TYPES)macharZbytepatrrr_register_types rWcCstj}t|dddddddddt|dt|d|d |d d }t|d |td<tj}t|d ddddddddt|d t|d|dddt|dd }t|d|td<tj}d}d}t|dddddddddd|d|||d |d }t|d!|td"<tj}t|d#} t|d$} t j d%d&|d'| | |d } Wdn1swYt|d(d#d$d)d*d+dddt|d(| | | d } t| d,t| d,| td<t|d-} t|d$}t j d%d&|d'| ||d }Wdn 1swYt|d.d-d$d)d/d+dddt|d.| ||d }t|d0|td1<t |t |d|d2}t }|t d3d}t|d4d5ddd6ddddt|d4t|d5|||d7}t|d8t|d9|td:<dS);Niiir"r?rig?) machepnegepminexpmaxexpitiexpr.irndngrdr)r*r+r-sfiiig?s̽ gttfddfddfddfdddS)zB Create MachAr instance with found information on float types cs t|gSrT)r vr%rres z$_discovered_machar..cst|ddS)Nr!r)rZastyper)r$rrrfscstt|dS)Nrr rrrrrrgscsdtt|dS)NrKrrrr%r$rrrhsrN)r#rrrrrr|as    r|Znumpyc@sXeZdZdZiZddZddZddZdd Ze d d Z e d d Z e ddZ dS)ra7 finfo(dtype) Machine limits for floating point types. Attributes ---------- bits : int The number of bits occupied by the type. eps : float The difference between 1.0 and the next smallest representable float larger than 1.0. For example, for 64-bit binary floats in the IEEE-754 standard, ``eps = 2**-52``, approximately 2.22e-16. epsneg : float The difference between 1.0 and the next smallest representable float less than 1.0. For example, for 64-bit binary floats in the IEEE-754 standard, ``epsneg = 2**-53``, approximately 1.11e-16. iexp : int The number of bits in the exponent portion of the floating point representation. machar : MachAr The object which calculated these parameters and holds more detailed information. .. deprecated:: 1.22 machep : int The exponent that yields `eps`. max : floating point number of the appropriate type The largest representable number. maxexp : int The smallest positive power of the base (2) that causes overflow. min : floating point number of the appropriate type The smallest representable number, typically ``-max``. minexp : int The most negative power of the base (2) consistent with there being no leading 0's in the mantissa. negep : int The exponent that yields `epsneg`. nexp : int The number of bits in the exponent including its sign and bias. nmant : int The number of bits in the mantissa. precision : int The approximate number of decimal digits to which this kind of float is precise. resolution : floating point number of the appropriate type The approximate decimal resolution of this type, i.e., ``10**-precision``. tiny : float An alias for `smallest_normal`, kept for backwards compatibility. smallest_normal : float The smallest positive floating point number with 1 as leading bit in the mantissa following IEEE-754 (see Notes). smallest_subnormal : float The smallest positive floating point number with 0 as leading bit in the mantissa following IEEE-754. Parameters ---------- dtype : float, dtype, or instance Kind of floating point data-type about which to get information. See Also -------- MachAr : The implementation of the tests that produce this information. iinfo : The equivalent for integer data types. spacing : The distance between a value and the nearest adjacent number nextafter : The next floating point value after x1 towards x2 Notes ----- For developers of NumPy: do not instantiate this at the module level. The initial calculation of these parameters is expensive and negatively impacts import times. These objects are cached, so calling ``finfo()`` repeatedly inside your functions is not a problem. Note that ``smallest_normal`` is not actually the smallest positive representable value in a NumPy floating point type. As in the IEEE-754 standard [1]_, NumPy floating point types make use of subnormal numbers to fill the gap between 0 and ``smallest_normal``. However, subnormal numbers may have significantly reduced precision [2]_. References ---------- .. [1] IEEE Standard for Floating-Point Arithmetic, IEEE Std 754-2008, pp.1-70, 2008, http://www.doi.org/10.1109/IEEESTD.2008.4610935 .. [2] Wikipedia, "Denormal Numbers", https://en.wikipedia.org/wiki/Denormal_number cCszt|}Wntytt|}Ynw|j|d}|dur%|S|g}t|}||ur8|||}t|tj sDt d||j|d}|durQ|St|tj sft |}||urf|||}|j|d}|durs|St ||}|D]}||j|<q}|S)Nzdata type %r not inexact)rr TypeErrortype _finfo_cacherxZ obj2sctypeappend issubclassZinexactryZfloating_convert_to_floatobject__new___init)clsr objZdtypesZnewdtypedtrrrrs<        z finfo.__new__cCst||_t|}dD] }t||t||q dD]}t||t||jdq|jjd|_|jjd|_ |j |_ |j jd|_ |j |_ |j|_||_|j|_|j|_|j|_|j|_|j|_|j|_|j|_|S)N)r2r_r]r\r[rZ)r4r*rrrd)rr r~setattrgetattrflatitemsizebitsr+maxminr)r_Znexpr^Znmant_macharr8stripZ _str_tinyr9Z_str_maxr7r6r:r;rI)r<r rVwordrrrrs*         z finfo._initcCsd}||jS)Na+Machine parameters for %(dtype)s --------------------------------------------------------------- precision = %(precision)3s resolution = %(_str_resolution)s machep = %(machep)6s eps = %(_str_eps)s negep = %(negep)6s epsneg = %(_str_epsneg)s minexp = %(minexp)6s tiny = %(_str_tiny)s maxexp = %(maxexp)6s max = %(_str_max)s nexp = %(nexp)6s min = -max smallest_normal = %(_str_smallest_normal)s smallest_subnormal = %(_str_smallest_subnormal)s --------------------------------------------------------------- )r/r<rKrrr__str__s z finfo.__str__cCs"|jj}|j}||d<d|S)NklasszZ%(klass)s(resolution=%(resolution)s, min=-%(_str_max)s, max=%(_str_max)s, dtype=%(dtype)s)) __class__rLr/r)r<cdrrr__repr__s  zfinfo.__repr__cCs0t|jjjdrtjdtdd|jjjdS)a7Return the value for the smallest normal. Returns ------- smallest_normal : float Value for the smallest normal. Warns ----- UserWarning If the calculated value for the smallest normal is requested for double-double. rz;The value of smallest normal is undefined for double doubler?r@N)rrr,rrBrCrErHrrrr,s zfinfo.smallest_normalcCs|jS)aQReturn the value for tiny, alias of smallest_normal. Returns ------- tiny : float Value for the smallest normal, alias of smallest_normal. Warns ----- UserWarning If the calculated value for the smallest normal is requested for double-double. N)r,rHrrrr-3sz finfo.tinycCstjdtdd|jS)zThe object which calculated these parameters and holds more detailed information. .. deprecated:: 1.22 z)`finfo.machar` is deprecated (NumPy 1.22)r?r@N)rBrCDeprecationWarningrrHrrrrVDs z finfo.macharN) rLrMrNrOrrrrrrPr,r-rVrrrrrlsZ!  c@sHeZdZdZiZiZddZeddZeddZ dd Z d d Z d S) ral iinfo(type) Machine limits for integer types. Attributes ---------- bits : int The number of bits occupied by the type. min : int The smallest integer expressible by the type. max : int The largest integer expressible by the type. Parameters ---------- int_type : integer type, dtype, or instance The kind of integer data type to get information about. See Also -------- finfo : The equivalent for floating point data types. Examples -------- With types: >>> ii16 = np.iinfo(np.int16) >>> ii16.min -32768 >>> ii16.max 32767 >>> ii32 = np.iinfo(np.int32) >>> ii32.min -2147483648 >>> ii32.max 2147483647 With instances: >>> ii32 = np.iinfo(np.int32(10)) >>> ii32.min -2147483648 >>> ii32.max 2147483647 cCs|zt||_Wntytt||_Ynw|jj|_|jjd|_d|j|jf|_|jdvrs   ziinfo.__init__cCsV|jdkrdSz tj|j}W|Sty*td|jd> }|tj|j<Y|Sw)zMinimum value of given dtype.urrN)rr _min_valsr}KeyErrorr1rr<valrrrrs  z iinfo.mincCshz tj|j}W|Sty3|jdkrtd|j>d}n td|jd>d}|tj|j<Y|Sw)zMaximum value of given dtype.rrN)r _max_valsr}rrr1rrrrrrs z iinfo.maxcCsd}||j|j|jdS)zString representation.zMachine parameters for %(dtype)s --------------------------------------------------------------- min = %(min)s max = %(max)s --------------------------------------------------------------- r rrNrrrrrrsz iinfo.__str__cCsd|jj|j|j|jfS)Nz%s(min=%s, max=%s, dtype=%s))rrLrrr rHrrrrs ziinfo.__repr__N) rLrMrNrOrrr>rPrrrrrrrrrSs0   )0rO__all__rBrrZ overridesrrrrrr r r Zumathr r rrrrrZcsinglerRZcomplex_Zfloat_Z clongfloatZ longfloatrZ _title_fmtrQdictZint64rDZint32rtZlonglongrSZint16r#rUrWrsrvr~r|rrrrrrsd    [0 g