ó šßÈ[c @`sddlmZmZmZmZddlZddlmZm Z m Z ddlm Z ddl mZmZddlmZmZmZd d d d d dddddddg Zdefd„ƒYZdefd„ƒYZdefd„ƒYZdefd„ƒYZdefd„ƒYZdefd „ƒYZd!efd"„ƒYZd#efd$„ƒYZee_ee_ee_ee jƒZd%e_ ee j!ƒZ"d&e"_ ee j#ƒZ$d'j%e j#j&ƒe$_ ee j'ƒZ(d(j%e j'j&ƒe(_ dS()i(tabsolute_importtunicode_literalstdivisiontprint_functionNi(t CompositeUnitt UnitsErrortdimensionless_unscaledi(tmagnitude_zero_points(tFunctionUnitBasetFunctionQuantity(tdextdBtmaguLogUnituMagUnituDexUnitu DecibelUnitu LogQuantityu MagnitudeuDecibeluDexuSTmaguABmaguM_bolum_boltLogUnitcB`steZdZed„ƒZed„ƒZd„Zd„Zd„Zd„Z d„Z d„Z d „Z d „Z RS( uïLogarithmic unit containing a physical one Usually, logarithmic units are instantiated via specific subclasses such `MagUnit`, `DecibelUnit`, and `DexUnit`. Parameters ---------- physical_unit : `~astropy.units.Unit` or `string` Unit that is encapsulated within the logarithmic function unit. If not given, dimensionless. function_unit : `~astropy.units.Unit` or `string` By default, the same as the logarithmic unit set by the subclass. cC`stS(N(R (tself((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt_default_function_unit#scC`stS(N(t LogQuantity(R((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt_quantity_class'scC`stj|jtj|ƒƒS(uaTransformation from value in physical to value in logarithmic units. Used in equivalency.(R ttot_function_unittnptlog10(Rtx((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt from_physical+scC`sd|jjt|ƒS(uaTransformation from value in logarithmic to value in physical units. Used in equivalency.i (RRR (RR((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt to_physical0scC`s‘y t|d|ƒj|jƒWn.tk r4tStk rPtdƒ‚nXt|dtƒ}td|j|g||gƒ}|j |ƒS(u›Add/subtract LogUnit to/from another unit, and adjust physical unit. self and other are multiplied by sign_self and sign_other, resp. We wish to do: ±lu_1 + ±lu_2 -> lu_f (lu=logarithmic unit) and pu_1^(±1) * pu_2^(±1) -> pu_f (pu=physical unit) Raises ------ UnitsError If function units are not equivalent. u function_unitu=Can only add/subtract logarithmic units ofof compatible type.u physical_uniti( tgetattrt_toRtAttributeErrortNotImplementedRRRt_physical_unitt_copy(Rtothert sign_selft sign_othertother_physical_unitt physical_unit((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt_add_and_adjust_physical_unit8s     cC`s|j|jdƒS(Niÿÿÿÿ(RR#(R((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt__neg__YscC`s|j|d d ƒS(Ni(R$(RR((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt__add__\scC`s|j|d d ƒS(Ni(R$(RR((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt__radd__ascC`s|j|d dƒS(Niiÿÿÿÿ(R$(RR((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt__sub__dscC`s|j|dd ƒS(Niÿÿÿÿi(R$(RR((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt__rsub__gs(t__name__t __module__t__doc__tpropertyRRRRR$R%R&R'R(R)(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR s   !    tMagUnitcB`s5eZdZd„Zed„ƒZed„ƒZRS(uLogarithmic physical units expressed in magnitudes Parameters ---------- physical_unit : `~astropy.units.Unit` or `string` Unit that is encapsulated within the magnitude function unit. If not given, dimensionless. function_unit : `~astropy.units.Unit` or `string` By default, this is ``mag``, but this allows one to use an equivalent unit such as ``2 mag``. cO`s0tjƒtt|ƒj||ŽWdQXdS(N(tmag0tenabletsuperR.t__init__(Rtargstkwargs((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR2zs cC`stS(N(R (R((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyRscC`stS(N(t Magnitude(R((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyRƒs(R*R+R,R2R-RR(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR.ms  tDexUnitcB`s,eZdZed„ƒZed„ƒZRS(užLogarithmic physical units expressed in magnitudes Parameters ---------- physical_unit : `~astropy.units.Unit` or `string` Unit that is encapsulated within the magnitude function unit. If not given, dimensionless. function_unit : `~astropy.units.Unit` or `string` By default, this is ``dex`, but this allows one to use an equivalent unit such as ``0.5 dex``. cC`stS(N(R (R((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR–scC`stS(N(tDex(R((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyRšs(R*R+R,R-RR(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR6ˆs t DecibelUnitcB`s,eZdZed„ƒZed„ƒZRS(u‘Logarithmic physical units expressed in dB Parameters ---------- physical_unit : `~astropy.units.Unit` or `string` Unit that is encapsulated within the decibel function unit. If not given, dimensionless. function_unit : `~astropy.units.Unit` or `string` By default, this is ``dB``, but this allows one to use an equivalent unit such as ``2 dB``. cC`stS(N(R (R((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR­scC`stS(N(tDecibel(R((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR±s(R*R+R,R-RR(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR8Ÿs RcB`s¾eZdZeZd„Zd„Zd„Zd„Zd„Z d„Z ddddd„Z ddddd „Z ddd „Zd d d „Zddd„Zejed„dDƒƒBZRS(uA representation of a (scaled) logarithm of a number with a unit Parameters ---------- value : number, `~astropy.units.Quantity`, `~astropy.units.function.logarithmic.LogQuantity`, or sequence of convertible items. The numerical value of the logarithmic quantity. If a number or a `~astropy.units.Quantity` with a logarithmic unit, it will be converted to ``unit`` and the physical unit will be inferred from ``unit``. If a `~astropy.units.Quantity` with just a physical unit, it will converted to the logarithmic unit, after, if necessary, converting it to the physical unit inferred from ``unit``. unit : string, `~astropy.units.UnitBase` or `~astropy.units.function.FunctionUnitBase` instance, optional For an `~astropy.units.function.FunctionUnitBase` instance, the physical unit will be taken from it; for other input, it will be inferred from ``value``. By default, ``unit`` is set by the subclass. dtype : `~numpy.dtype`, optional The ``dtype`` of the resulting Numpy array or scalar that will hold the value. If not provided, is is determined automatically from the input value. copy : bool, optional If `True` (default), then the value is copied. Otherwise, a copy will only be made if ``__array__`` returns a copy, if value is a nested sequence, or if a copy is needed to satisfy an explicitly given ``dtype``. (The `False` option is intended mostly for internal use, to speed up initialization where a copy is known to have been made. Use with care.) Examples -------- Typically, use is made of an `~astropy.units.function.FunctionQuantity` subclass, as in:: >>> import astropy.units as u >>> u.Magnitude(-2.5) >>> u.Magnitude(10.*u.count/u.second) >>> u.Decibel(1.*u.W, u.DecibelUnit(u.mW)) # doctest: +FLOAT_CMP cC`sB|jt|dtƒ}|jt|d|ƒ}|j||ƒS(Nuunitu_function_view(tunitRRt_function_viewt _new_view(RRtnew_unittresult((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR&çscC`s |j|ƒS(N(R&(RR((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR'ðscC`sI|jt|dtƒ}|j}|t|d|ƒ7}|j|ƒ|S(Nuunitu_function_view(R:RRR;t _set_unit(RRR=t function_view((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt__iadd__ós   cC`sB|jt|dtƒ}|jt|d|ƒ}|j||ƒS(Nuunitu_function_view(R:RRR;R<(RRR=R>((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR(ûscC`s^|jjt|dtƒƒ}|jjt|d|ƒƒ}|j|jƒ}|j||ƒS(Nuunitu_function_view(R:R)RRR;Rt function_unitR<(RRR=R>((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR)s   cC`sI|jt|dtƒ}|j}|t|d|ƒ8}|j|ƒ|S(Nuunitu_function_view(R:RRR;R?(RRR=R@((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyt__isub__ s   ic C`s2|jtj||d|d|d|jjdƒS(NtouttddofR:i(t_wrap_functionRtvarR:RB(RtaxistdtypeRDRE((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyRGs!c C`s4|jtj||d|d|d|jjtƒƒS(NRDRER:(RFRtstdR:RR(RRHRIRDRE((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyRJs!cC`s+|jtj|d|d|jjtƒƒS(NRDR:(RFRtptpR:RR(RRHRD((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyRK"siiÿÿÿÿcC`s(|jtj||d|jjtƒƒS(NR:(RFRtdiffR:RR(RtnRH((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyRL&scC`s(|jtj||d|jjtƒƒS(NR:(RFRtediff1dR:RR(Rtto_endtto_begin((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyRN*scc`s|]}tt|ƒVqdS(N(RR(t.0tfunction((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pys /suvarustduptpudiffuediff1dN(uvarustduptpudiffuediff1d(R*R+R,R t _unit_classR&R'RAR(R)RCtNoneRGRJRKRLRNR t_supported_functionstset(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR¶s ,     R7cB`seZeZRS((R*R+R6RS(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR73sR9cB`seZeZRS((R*R+R8RS(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR97sR5cB`seZeZRS((R*R+R.RS(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyR5;su6ST magnitude: STmag=-21.1 corresponds to 1 erg/s/cm2/Au7AB magnitude: ABmag=-48.6 corresponds to 1 erg/s/cm2/Hzu@Absolute bolometric magnitude: M_bol=0 corresponds to L_bol0={0}u@Apparent bolometric magnitude: m_bol=0 corresponds to f_bol0={0}()t __future__RRRRtnumpyRtRRRRR/tcoreRR tunitsR R R t__all__R R.R6R8RR7R9R5t_function_unit_classtSTtSTmagR,tABtABmagtBoltM_boltformattsitboltm_bol(((sAlib/python2.7/site-packages/astropy/units/function/logarithmic.pyts:"   [}