ó šßÈ[c @sÛddlmZddlZddlmZmZmZmZm Z d„Z d„Z iZ e ejejejejejejejejejejg ƒZxBd/D]:ZeeedƒZeeejƒr«eehOZq«q«Wd „Zee ej sN( t_toRt_apply_equivalenciesRt equivalenciestAttributeErrorRtformatR(t from_unittto_unit((R s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyt get_converters    tisnattgcdtlcmcCs dgdfS(N(R(tfR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyR =scCsdgt|ƒfS(N(RR(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyR GstpositivecCs#dg|dk r|dntfS(Ngà?(RR(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyR YscCs#dg|dk r|dntfS(Ni(RR(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyR [scCs#dg|dk r|dntfS(Niÿÿÿÿ(RR(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyR ]stcbrtcCs,dg|dk r%|tddƒntfS(Nii(RRR(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyR as%cCs dgtfS(N(RR(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyR dscCsc|dkrdgtfSyt|tƒgtfSWn)tk r^tdj|jƒƒ‚nXdS(Ns9Can only apply '{0}' function to dimensionless quantities(RRRRRRt__name__(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyt%helper_dimensionless_to_dimensionlessjs     terfcCso|dkrdgttffSy t|tƒgttffSWn)tk rjtdj|jƒƒ‚nXdS(Ns9Can only apply '{0}' function to dimensionless quantities(RRRRRRR(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyt helper_modf…s   cCssddlm}|dkr)dg|fSyt|tƒg|fSWn)tk rntdj|jƒƒ‚nXdS(Ni(tradians9Can only apply '{0}' function to dimensionless quantities( tsiRRRRRRRR(RRR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_dimensionless_to_radian–s    cCs`ddlm}m}yt||ƒg|fSWn)tk r[tdj|jƒƒ‚nXdS(Ni(tdegreeRs<Can only apply '{0}' function to quantities with angle units(RR!RRRRRR(RRR!R((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_degree_to_radian¬s   cCs`ddlm}m}yt||ƒg|fSWn)tk r[tdj|jƒƒ‚nXdS(Ni(R!Rs<Can only apply '{0}' function to quantities with angle units(RR!RRRRRR(RRR!R((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_radian_to_degree»s   cCsZddlm}yt||ƒgtfSWn)tk rUtdj|jƒƒ‚nXdS(Ni(Rs<Can only apply '{0}' function to quantities with angle units(RRRRRRRR(RRR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_radian_to_dimensionlessÊs   cCs4|jƒs'tdj|jƒƒ‚ndgdfS(NsBCan only apply '{0}' function to unscaled dimensionless quantities(NN(tis_unityRRRR(RR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyt helper_frexpÝs  cCs ddgt|ƒt|ƒfS(N(RR(Rtunit1tunit2((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_multiplicationéscCs ddgt|ƒt|ƒfS(N(RR(RR'R(((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_divisionðscCs]|dkrddgtfSydt|tƒgtfSWntk rXtdƒ‚nXdS(Ns4Can only raise something to a dimensionless quantity(RtFalseRRRR(RR'R(((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyt helper_powerøs   t float_powercCs5|dk rtdƒ‚nddgt|ƒfSdS(Ns4Cannot use ldexp with a quantity as second argument.(Rt TypeErrorR(RR'R(((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyt helper_ldexp s cCs0|dkrddgdfSddg|fSdS(N(R(RR'R(((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_copysigns t heavisidecCsUy%|dk rt|tƒnd}Wntk rDtdƒ‚nXd|gtfS(NsICan only apply 'heaviside' function with a dimensionless second argument.(RRRRR(RR'R(t converter2((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_heaviside"s % cCs‚yF|dk rt|tƒnd}|dk r?t|tƒnd}Wn)tk rqtdj|jƒƒ‚nX||gtfS(Ns9Can only apply '{0}' function to dimensionless quantities(RRRRRRR(RR'R(t converter1R2((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_two_arg_dimensionless.s!%  cGs ddg}td„|Dƒƒr,|tfS|ddkrBdnd\}}||dkr¯yt||tƒ||CsiisFCan only apply '{0}' function to quantities with compatible dimensions(ii(ii( RtallRRRR+RRR(Rtunitst converterstfixedt changeable((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pytget_converters_and_unit?s(  "      cCst|||ƒS(N(R<(RR'R(((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_twoarg_invariant_scCs"t|||ƒ\}}|dfS(N(R<R(RR'R(R9t_((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_twoarg_comparisonpscCs2ddlm}t|||ƒ\}}||fS(Ni(R(RRR<(RR'R(RR9R>((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_twoarg_invtrig}st_argcCs"t|||ƒ\}}|tfS(N(R<R(RR'R(R9R>((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pythelper_twoarg_floor_divide‰stdivmodcCs(t|||ƒ\}}|t|ffS(N(R<R(RR'R(R9t result_unit((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pyt helper_divmod’scCs/tjtjtj|dƒtj|ƒƒƒS(sBTest whether the items in value can have arbitrary units Numbers whose value does not change upon a unit change, i.e., zero, infinity, or not-a-number Parameters ---------- value : number or array Returns ------- `True` if each member is either zero or not finite, `False` otherwise g(tnpR7t logical_ortequaltisfinite(tvalue((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pytcan_have_arbitrary_unit™sc Gs|tkr'tdj|jƒƒ‚n|dksN|dkr-|jdkr-g|D]}t|ddƒ^qU}|tkr›t|||Œ\}}ntdj|jƒƒ‚td„|Dƒƒr\||j t ƒ}y7t |ƒrúddg}nt dj|jƒƒ‚Wq\tk rXtd j|j|d j j|d j jƒƒ‚q\Xn|t kr|d dksˆ|d tkr‘t}q*|d dkr®|d }n|d jtƒj}y|d |}Wq*tk r&} y|d jtƒ|d ÛssŒCan only apply '{0}' function to dimensionless quantities when other argument is not a quantity (unless the latter is all zero/infinity/nan)s:Unsupported operand type(s) for ufunc {0}: '{1}' and '{2}'iitattreducet accumulatetreduceats'{0} only supported for binary functionssmUnexpected ufunc method {0}. If this should work, please raise an issue onhttps://github.com/astropy/astropys^Cannot use '{1}' method on ufunc {0} with a Quantity instance as the result is not a Quantity.gð?sZCannot use '{1}' method on ufunc {0} with a Quantity instance as it would change the unit.N(RPRQRR(RPRQRRRM(tUNSUPPORTED_UFUNCSR.RRtnintgetattrRt UFUNC_HELPERStanytindexR+RKRt __class__RttoRJt ValueErrort_get_converterRtappendtinsertt is_equivalent( tfunctiontmethodtargstargR8R9RDtmaybe_arbitrary_argtptexcR((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pytconverters_and_unitªs„  '%                          cs¶t|tƒr5t‡‡fd†t||ƒDƒƒS|d krEd St|dƒr%|d krŸtdjˆd k r‡djˆjƒndt|ƒƒƒ‚n|j |ƒdt|ƒk rt dj|ˆd k rèdjˆjƒndt|ƒ|j |ƒdƒƒ‚n|j t j ƒ}nN|d kp:|tksst djˆd krXdnd jˆjƒƒƒ‚nt jt jˆŒ|jd d ƒs²td j|jƒƒ‚n|S(s¢Check that function output can be stored in the output array given. Parameters ---------- output : array or `~astropy.units.Quantity` or tuple Array that should hold the function output (or tuple of such arrays). unit : `~astropy.units.Unit` or None, or tuple Unit that the output will have, or `None` for pure numbers (should be tuple of same if output is a tuple of outputs). inputs : tuple Any input arguments. These should be castable to the output. function : callable The function that will be producing the output. If given, used to give a more informative error message. Returns ------- arrays : `~numpy.ndarray` view of ``output`` (or tuple of such views). Raises ------ UnitTypeError : If ``unit`` is inconsistent with the class of ``output`` TypeError : If the ``inputs`` cannot be cast safely to ``output``. c3s*|] \}}t||ˆˆƒVqdS(N(t check_output(R6toutput_tunit_(R`tinputs(s<lib/python2.7/site-packages/astropy/units/quantity_helper.pys [st__quantity_subclass__s3Cannot store non-quantity output{0} in {1} instances from {0} functiontisRCannot store output with unit '{0}'{1} in {2} instance. Use {3} instance instead.sCCannot store quantity with dimension {0}in a non-Quantity instance.sresulting from {0} function tcastingt same_kinds@Arguments cannot be cast safely to inplace output with dtype={0}N(t isinstancettupletzipRthasattrR.RRttypeRlRtviewRFtndarrayRtcan_castt result_typetdtype(toutputRRkR`((R`Rks<lib/python2.7/site-packages/astropy/units/quantity_helper.pyRh@s6   !*   (RRR(†t fractionsRtnumpyRFtcoreRRRRRRRRVtsett bitwise_andt bitwise_ort bitwise_xortinvertt left_shiftt right_shiftt logical_andRGt logical_xort logical_notRStnameRURtufuncRpthelper_onearg_testRItisinftisnantsigntsignbitthelper_invarianttabsolutetfabstconjt conjugatetnegativetspacingtrinttfloortceilttruncRtsqrttsquaret reciprocalRtumatht _ones_likeRtexptexpm1texp2tlogtlog10tlog2tlog1pRRtmodfR tarccostarcsintarctantarccoshtarcsinhtarctanhR"tradianstdeg2radR#tdegreestrad2degR$tcostsinttantcoshtsinhttanhR&tfrexpR)tmultiplyR*tdividet true_divideR,tpowerR-R/tldexpR0tcopysignR3R1R5t logaddexpt logaddexp2R<R=taddtsubtractthypottmaximumtminimumtfmintfmaxt nextaftert remaindertmodtfmodR?tgreatert greater_equaltlesst less_equalt not_equalRHR@tarctan2RARBt floor_divideRERCRKRgRh(((s<lib/python2.7/site-packages/astropy/units/quantity_helper.pytsö (                           $                                                     $     –