KhfSrSS/rSSKrSSKrSSKJr SSKJr SS KJ r SS KJ r SS K J r J r Jr SS KJrJrJrJr S rSr"SS5r\ R.\ R0\ R2\ R4\ R6\ R80rSr\ R>\ "\ RBS\RES5S9\ R0\ "\ RFS\RES5S9\ R8\ "\ RHS\RES5S9\ RJ\ "\ RLS\RES5S90r'0r(Sr)0r*Sr+Sr,Sr-\"S5"S S55r.\"S5"S!S55r/g)"zJMachine limits for Float32 and Float64 and (long double) if available... finfoiinfoN) set_module)MachAr)numeric) numerictypes)arrayinfnan)log10exp2 nextafterisnancTURS:XaUR5nSUlU$)zfix rank-0 --> rank-1r)r)ndimcopyshapeas G/var/www/html/env/lib/python3.13/site-packages/numpy/_core/getlimits.py_fr0rs$vv{ FFH HcTURS:XaUR5nSUlU$)zfix rank > 0 --> rank-0r)sizerrrs r_fr1rs$vv{ FFH HrcX\rSrSrSrSS.Sjr\S5r\S5rSr S r S r S r g) MachArLike!z#Object to simulate MachAr instance N)smallest_subnormalc ~[UUlXlURSUlU(d9[ URS5URS5URS9UlOXplUR U5=UlUlUR U5Ul UR U5=Ul Ul UR U5Ul UR U5=Ul UlURS"U5UlUR R#U5 [%['UR5*5UlUR UR+S5UR(*-5UlUR/UR5UlUR/UR5UlUR/UR5UlUR/UR5UlUR/UR,5UlUR/UR5Ulg)Ntitlerrdtypeitype )_MACHAR_PARAMSparamsftyper$r_smallest_subnormal_float_to_floatepsilonepsepsnegxmaxhugexminsmallest_normaltinyibeta__dict__updateintr precision _float_conv resolution _float_to_str_str_eps _str_epsneg _str_xmin _str_xmax_str_resolution_str_smallest_normal) selfr+r/r0r2r5r6r"kwargss r__init__MachArLike.__init__#s$U+  [[) !'0 1 tzz!}DJJ(@D $(: $"&"6"6s";; tx**62 $ 4 4T :: DI((. +/+?+?+EEty[[)%0  V$eDHHo-...   R dnn_ 57**4884 --dkk:++DII6++DII6#11$//B$($6$6tyy$A!rcURnURS5U:Xa3[R"SR UR5[ SS9 UR U5$)zReturn the value for the smallest subnormal. Returns ------- smallest_subnormal : float value for the smallest subnormal. Warns ----- UserWarning If the calculated value for the smallest subnormal is zero. rz8The value of the smallest subnormal for {} type is zero.r stacklevel)r,r+warningswarnformat UserWarningr-rDvalues rr"MachArLike.smallest_subnormal?sV (( ::a=E ! MM!6$**-{q J##E**rc8URUR5$)z;Return the string representation of the smallest subnormal.)r=r"rDs r_str_smallest_subnormal"MachArLike._str_smallest_subnormalWs!!$"9"9::rc6[URU55$)zYConverts float to float. Parameters ---------- value : float value to be converted. )rr;rOs rr-MachArLike._float_to_float\sD$$U+,,rc0[U/UR5$)zXConverts float to conv. Parameters ---------- value : float value to be converted. )r r+rOs rr;MachArLike._float_convfseWdjj))rcfURS[[U5SUR5-$)zWConverts float to str. Parameters ---------- value : float value to be converted. fmtr)r*r rr+rOs rr=MachArLike._float_to_strps+{{5!E$u+a.$**$EEEr)r,r>r?rBrCrAr@r/r.r0r+r2r6r*r:r<r4r5r$r1r3) __name__ __module__ __qualname____firstlineno____doc__rFpropertyr"rTr-r;r=__static_attributes__rrrr r !sF.+/B8++.;;-*Frr z(numpy {} precision floating point numberz%24.16edouble)r'r[r$z%15.7esinglez%sz long doublez%12.5ehalfcU[U'gN) _KNOWN_TYPES)macharbytepats r_register_typerls "Lrc [Rn[USSSSSSSSS[U"S55[U"S55U"S 5U"S 5S 9n[ US 5 U[ S'[R n[US SSSSSSSS[U"S 55[U"S55U"SSS--5[U"S55S 9n[ US5 U[ S'[RnSnSn[USSSSSSSSSSUSU- U- U"S 5-US 9n[ US!5 U[ S"'[Rn[U"S#55n [U"S$55n [R"S%S&9 U"S'5U - U - U"S 5-n SSS5 [US(S#S$S)S*S+SSS[U"S(55U W U S 9n [ U S,5 U [ S'[U"S-55n [U"S$55n[R"S%S&9 U"S'5U - U- U"S 5-nSSS5 [US.S-S$S)S/S+SSS[U"S.55U WUS 9n[ US05 U[ S1'[U"[5U"S5US29n[nU"[S3S55n[US4S5SSS6SSSS[U"S455[U"S555UUUS79n[ US85 [ US95 U[ S:'g!,(df  GNc=f!,(df  N=f);Niiir(rrig?) machepnegepminexpmaxexpitiexpr6irndngrdr/r0r2r5sfiiig?s̽ g!$U!$X 0J:x(IbM ..CC#&"%#'#&!!""#!"!" $SX#'C>!$laf%Q!G!) +J:BCIbM   Br$x.KRZ I   h 'U[(I51=  (R$(#'$*$) #"$#$"#"#!%bh$/"+"+ -K;KM IcNbgJBvJH   h 'qEJ&(2RU: (B#&"%#)#(!!#"#!"!" $RW #-!)!) +J:JKIbM 3Ab1GyR01R$(#'$)$( #"$#$"#"#!%bh$(DN")"40EGK ;EG;EG!IdOY ( '2 ( 's.K">K4" K14 Lc[RU5nUc[[U55eU"S5U"S5- nUR UR R S55R5nSnU[R:Xa[RUSS5nUc[RU5nUc`[U5S:XaQ[R5VVs0sHupE[U5S:XdMUSSU_M nnnURUSS5nUbU$[R"SUSUS 3[S S 9 [!U5$s snnf) a;Get MachAr instance or MachAr-like instance Get parameters for floating point type, by first trying signatures of various known floating point types, then, if none match, attempting to identify parameters by analysis. Parameters ---------- ftype : class Numpy floating point type class (e.g. ``np.float64``) Returns ------- ma_like : instance of :class:`MachAr` or :class:`MachArLike` Object giving floating point parameters for `ftype`. Warns ----- UserWarning If the binary signature of the float type is not in the dictionary of known float types. Ngg$@&2%7%7%9J%9TQSVr\yq"vqy%9J''#cr(# MM SEug&@ @  # e $$Ks %E> Ec^^^[Tm[U4SjU4SjU4SjUU4SjTS5$)zCreate MachAr instance with found information on float types TODO: MachAr should be retired completely ideally. We currently only ever use it system with broken longdouble (valgrind, WSL). c>[U/T5$rh)r rr+s r$_discovered_machar..ysE1#u-rcD>[URTS55S$)Nr'r)rastype)rr*s rrrzsD&/!:;A>rc4>[[U5ST5$)Nrr rrs rrr{sE$q'!*e4rc@>TS[[U5ST5-$)Nr[rr)rr+r*s rrr|sF5ME$q'!*e,DDrr$)r)r)r+r*s`@rrrrs/ E "F ->4D/  ##rnumpycx\rSrSrSr0r\"\R5r Sr Sr Sr Sr \S5r\S5rS rg ) ria finfo(dtype) Machine limits for floating point types. Attributes ---------- bits : int The number of bits occupied by the type. dtype : dtype Returns the dtype for which `finfo` returns information. For complex input, the returned dtype is the associated ``float*`` dtype for its real and complex components. 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. 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 or complex floating point data-type about which to get information. See Also -------- 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]_. This function can also be used for complex data types as well. If used, the output will be the same as the corresponding real float type (e.g. numpy.finfo(numpy.csingle) is the same as numpy.finfo(numpy.single)). However, the output is true for the real and imaginary components. References ---------- .. [1] IEEE Standard for Floating-Point Arithmetic, IEEE Std 754-2008, pp.1-70, 2008, https://doi.org/10.1109/IEEESTD.2008.4610935 .. [2] Wikipedia, "Denormal Numbers", https://en.wikipedia.org/wiki/Denormal_number Examples -------- >>> import numpy as np >>> np.finfo(np.float64).dtype dtype('float64') >>> np.finfo(np.complex64).dtype dtype('float32') cURRU5nUbU$Uc[R"S[ SS9 [ R"U5nURRU5nUbU$U/n[R"U5nXALaURU5 Un[U[ R5(d[SU-5eURRU5nUbU$[U[ R5(dX[ UnXALaKURU5 UnURRUS5nUbUHnX RU'M U$["R%U5R'U5nUHnX RU'M U$![a GNf=f![a# [ R"[U55nGNf=f)Nzifinfo() dtype cannot be None. This behavior will raise an error in the future. (Deprecated in NumPy 1.25)rrIzdata type %r not inexact) _finfo_cacher TypeErrorrKrLDeprecationWarningr r&typer obj2sctypeappend issubclassinexactrfloating_convert_to_floatobject__new___init)clsr&objdtypesnewdtypedts rr finfo.__new__s ""&&u-C  = MMK"   /MM%(E ""5) ?J$$U+  MM( #E%1175AB B""5) ?J%!1!122(/H$ h' &&**5$7?%/2((,%JnnS!''.B#&  R  c    /MM$u+.E /s#F(F9( F65F69)G&%G&c [R"U5Ul[U5nSHn[X[ X#55 M SH%n[X[ X#5R S5 M' URR S-UlURR SUl UR*Ul URR SUl URUl URUlX lUR"R%5UlUR(R%5UlUR,R%5UlUR.R%5UlUR0R%5UlUR2R%5UlUR4R%5UlU$)N)r:rursrrrqrp)r<r0r"rrz)r r&rsetattrgetattrflatitemsizebitsr2maxminr/runexprtnmant_macharr@strip _str_tinyrA_str_maxr?r>rBrCrT)rDr&rjwords rr finfo._init%sj]]5) U#D D 5 6CD D 5 : :1 = >CJJ''!+ ;;##A&HH9::??1%KK YY  ))//1((..0 !--335--/ %55;;=$*$?$?$E$E$G!'-'E'E'K'K'M$ rc"SnXR-$)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 --------------------------------------------------------------- )r7rDr[s r__str__ finfo.__str__?s P ]]""rctURRnURR5nXS'SU-$)NklasszZ%(klass)s(resolution=%(resolution)s, min=-%(_str_max)s, max=%(_str_max)s, dtype=%(dtype)s)) __class__r]r7r)rDcds r__repr__finfo.__repr__Os< NN # # MM   ' 7:;< =rc[URRRS5(a[R "S[ SS9 URRRS$)zReturn 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 doublerrI)rrr4rrKrLrNrSs rr4finfo.smallest_normalVsU" --2215 6 6 MMM +||++0033rcUR$)aReturn 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. )r4rSs rr5 finfo.tinyms###r)rr>r?rrBrCrTrrr&r/rrrrN)r]r^r_r`rar classmethodtypes GenericAlias__class_getitem__rrrrrbr4r5rcrrrrrs^eNL#E$6$676p4# =44,$$rcv\rSrSrSr0r0r\"\R5r Sr \ S5r \ S5rSrSrSrg ) ria: iinfo(type) Machine limits for integer types. Attributes ---------- bits : int The number of bits occupied by the type. dtype : dtype Returns the dtype for which `iinfo` returns information. 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: >>> import numpy as np >>> 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 c[R"U5UlURRUlURR S-UlSURUR 4-UlURS;a[SUR<S35eg![a' [R"[U55UlNf=f)Nrzz%s%diuzInvalid integer data type .) r r&rrkindrrrr)rDint_types rrFiinfo.__init__s 7 x0DJJJOO JJ''!+ TYY 22 99D  KL L !  7 tH~6DJ 7sB!!.CCcURS:Xag[RURnU$![a= [ SUR S- -*5nU[RUR'U$f=f)zMinimum value of given dtype.urr)rr _min_valsrKeyErrorr9rrDvals rr iinfo.minss 99  0oodhh/J 0A$))A+./0,/)J 0s2AA98A9c2[RURnU$![ak URS:Xa[ SUR -S- 5nO[ SUR S- -S- 5nU[RUR'U$f=f)zMaximum value of given dtype.rr)r _max_valsrrrr9rrs rr iinfo.maxs ,//$((+C  ,yyC1 >Q./11-23(+EOODHH %  ,s!A1BBcRSnXRURURS.-$)zString representation.zMachine parameters for %(dtype)s --------------------------------------------------------------- min = %(min)s max = %(max)s --------------------------------------------------------------- r&rrr rs rr iinfo.__str__s+ P zz$((488LLLrcURR<SUR<SUR<SUR<S3$)Nz(min=z, max=z, dtype=))rr]rrr&rSs rriinfo.__repr__s.151H1H$(HHdhh D Dr)rr&rrN)r]r^r_r`rarrrrrrrFrbrrrrrcrrrrrs_1fII#E$6$67 M     MDr)0ra__all__rrK_utilsrrrr r rr r r umathrrrrrrr csinglere complex128r clongdoublerr _title_fmtrddictint64rMint32longlongrfint16r)rirlrrrrrrrrrrs G  $$$00  WFWFv NNFMM v~~ ))8  MM4 !!(+- MM4 !!(+- t!!-02 KK !!&)+,8 #  N"b7%t # G{${${$| GkDkDkDr