(phSr/SQrSSKrSSKrSSKJr SSKJrJrJ r J r J r J r J r JrJrJrJrJrJrJrJrJrJrJrJrJrJr SSKrSSKJrJ r SSK J!r! SS K"J#r# SS K$J%r% SS K&J'r' S r(SNS jr)\*4Sjr+Sr,"SS5r-"SS\-5r."SS\-5r/"SS\-5r0"SS\-5r1\1"S5r2\1"S5r3\1"S5r4\/"S5=r5r6\/"S5r7\/"S5r8\/"S 5r9\/"S!5r:\."S"5r;\."S#5r\R|R\>lS&r?\?RbR\R~RS\R~RRS'5R5S(-\?lSO\RS).S*jjrCSPS+jrDSOS,jrESNS-jrFSNS.jrGS/rHS0rISNS1jrJ\R4S2jrK\R4S3jrLSQS4jrMSRS5jrNSSS6jrOSSS7jrPSRS8jrQSRS9jrRS:rSSSS;jrTSTS=jrUSUS>jrVSS<\RS<\R4S?jrW"S@SA\'5rX"SBSC\X5rY\Y"5rZSVSDjr[SEr\SNSFjr]SGr^SNSHjr_SIr`SJraSKrbSNSLjrc\R"\RR\cR5\clSWSMjre\R"\RR\eR5\elg)Xz Masked arrays add-ons. A collection of utilities for `numpy.ma`. :author: Pierre Gerard-Marchant :contact: pierregm_at_uga_dot_edu :version: $Id: extras.py 3473 2007-10-29 15:18:13Z jarrod.millman $ ).apply_along_axisapply_over_axes atleast_1d atleast_2d atleast_3daverage clump_maskedclump_unmasked column_stack compress_cols compress_ndcompress_rowcols compress_rows count_maskedcorrcoefcovdiagflatdotdstackediff1dflatnotmasked_contiguousflatnotmasked_edgeshsplithstackisinin1d intersect1d mask_cols mask_rowcols mask_rows masked_allmasked_all_likemedianmr_ ndenumeratenotmasked_contiguousnotmasked_edgespolyfit row_stack setdiff1dsetxor1dstackuniqueunion1dvandervstackN)core) MaskedArrayMAErroraddarrayasarray concatenatefilledcountgetmask getmaskarraymake_mask_descrmasked masked_arraymask_ornomaskonessortzerosgetdataget_masked_subclassr)ndarrayr6)normalize_axis_index)normalize_axis_tuple)_ureduce)AxisConcatenatorc8[U[[[45$)z. Is seq a sequence (ndarray, list or tuple)? ) isinstancerGtuplelist)seqs B/var/www/html/venv/lib/python3.13/site-packages/numpy/ma/extras.py issequencerR)s cGUD1 22c:[U5nURU5$)a Count the number of masked elements along the given axis. Parameters ---------- arr : array_like An array with (possibly) masked elements. axis : int, optional Axis along which to count. If None (default), a flattened version of the array is used. Returns ------- count : int, ndarray The total number of masked elements (axis=None) or the number of masked elements along each slice of the given axis. See Also -------- MaskedArray.count : Count non-masked elements. Examples -------- >>> import numpy.ma as ma >>> a = np.arange(9).reshape((3,3)) >>> a = ma.array(a) >>> a[1, 0] = ma.masked >>> a[1, 2] = ma.masked >>> a[2, 1] = ma.masked >>> a masked_array( data=[[0, 1, 2], [--, 4, --], [6, --, 8]], mask=[[False, False, False], [ True, False, True], [False, True, False]], fill_value=999999) >>> ma.count_masked(a) 3 When the `axis` keyword is used an array is returned. >>> ma.count_masked(a, axis=0) array([1, 1, 1]) >>> ma.count_masked(a, axis=1) array([0, 2, 1]) )r<sum)arraxisms rQrr1sd SA 55;rSc ~[[R"X5[R"U[ U55S9nU$)a Empty masked array with all elements masked. Return an empty masked array of the given shape and dtype, where all the data are masked. Parameters ---------- shape : int or tuple of ints Shape of the required MaskedArray, e.g., ``(2, 3)`` or ``2``. dtype : dtype, optional Data type of the output. Returns ------- a : MaskedArray A masked array with all data masked. See Also -------- masked_all_like : Empty masked array modelled on an existing array. Examples -------- >>> import numpy.ma as ma >>> ma.masked_all((3, 3)) masked_array( data=[[--, --, --], [--, --, --], [--, --, --]], mask=[[ True, True, True], [ True, True, True], [ True, True, True]], fill_value=1e+20, dtype=float64) The `dtype` parameter defines the underlying data type. >>> a = ma.masked_all((3, 3)) >>> a.dtype dtype('float64') >>> a = ma.masked_all((3, 3), dtype=np.int32) >>> a.dtype dtype('int32') mask)r?npemptyrBr=)shapedtypeas rQr r gs3^ RXXe+''%)?@ BA HrSc[R"U5R[5n[R"UR [ UR5S9UlU$)a Empty masked array with the properties of an existing array. Return an empty masked array of the same shape and dtype as the array `arr`, where all the data are masked. Parameters ---------- arr : ndarray An array describing the shape and dtype of the required MaskedArray. Returns ------- a : MaskedArray A masked array with all data masked. Raises ------ AttributeError If `arr` doesn't have a shape attribute (i.e. not an ndarray) See Also -------- masked_all : Empty masked array with all elements masked. Examples -------- >>> import numpy.ma as ma >>> arr = np.zeros((2, 3), dtype=np.float32) >>> arr array([[0., 0., 0.], [0., 0., 0.]], dtype=float32) >>> ma.masked_all_like(arr) masked_array( data=[[--, --, --], [--, --, --]], mask=[[ True, True, True], [ True, True, True]], fill_value=1e+20, dtype=float32) The dtype of the masked array matches the dtype of `arr`. >>> arr.dtype dtype('float32') >>> ma.masked_all_like(arr).dtype dtype('float32') r_) r\ empty_likeviewr3rBr^r=r__mask)rVr`s rQr!r!sBd c ,Aggagg_QWW%=>AG HrSc*\rSrSrSrSrSrSrSrg)_fromnxfunctiona& Defines a wrapper to adapt NumPy functions to masked arrays. An instance of `_fromnxfunction` can be called with the same parameters as the wrapped NumPy function. The docstring of `newfunc` is adapted from the wrapped function as well, see `getdoc`. This class should not be used directly. Instead, one of its extensions that provides support for a specific type of input should be used. Parameters ---------- funcname : str The name of the function to be adapted. The function should be in the NumPy namespace (i.e. ``np.funcname``). c:XlUR5UlgN)__name__getdoc__doc__)selffuncnames rQ__init___fromnxfunction.__init__s {{} rSc[[URS5n[USS5nU(aLUR[R"U5-n[R "US5nSR X245$g)a  Retrieve the docstring and signature from the function. The ``__doc__`` attribute of the function is used as the docstring for the new masked array version of the function. A note on application of the function to the mask is appended. Parameters ---------- None Nrmz@The function is applied to both the _data and the _mask, if any.z )getattrr\rkmaget_object_signaturedoc_notejoin)rnnpfuncdocsigs rQrl_fromnxfunction.getdocsiT]]D1fi. --""9"9&"AAC++c$<=C;;z* *rScgrj)rnargsparamss rQ__call___fromnxfunction.__call__s rS)rmrkN) rk __module__ __qualname____firstlineno__rmrprlr__static_attributes__r}rSrQrgrgs&%, rSrgc\rSrSrSrSrSrg)_fromnxfunction_singleiz A version of `_fromnxfunction` that is called with a single array argument followed by auxiliary args that are passed verbatim for both the data and mask calls. cL[[UR5n[U[5(a8U"UR 5/UQ70UD6nU"[ U5/UQ70UD6n[XVS9$U"[R"U5/UQ70UD6nU"[ U5/UQ70UD6n[XVS9$NrZ) rsr\rkrMrG __array__r<r?r7)rnxr~rfunc_d_ms rQr_fromnxfunction_single.__call__ sr4==) a ! !akkm5d5f5Bl1o777B, ,bjjm5d5f5Bl1o777B, ,rSr}Nrkrrrrmrrr}rSrQrrs  -rSrc\rSrSrSrSrSrg)_fromnxfunction_seqiz A version of `_fromnxfunction` that is called with a single sequence of arrays followed by auxiliary args that are passed verbatim for both the data and mask calls. c .[[UR5nU"[UVs/sHn[R"U5PM sn5/UQ70UD6nU"[UVs/sHn[ U5PM sn5/UQ70UD6n[ XgS9$s snfs snfr)rsr\rkrNr7r<r?)rnrr~rrr`rrs rQr_fromnxfunction_seq.__call__sr4==) %21A23 Ed Ef E %!4!Qa!45 G G GB((34s B B r}Nrr}rSrQrrs  )rSrc\rSrSrSrSrSrg)_fromnxfunction_argsi&a} A version of `_fromnxfunction` that is called with multiple array arguments. The first non-array-like input marks the beginning of the arguments that are passed verbatim for both the data and mask calls. Array arguments are processed independently and the results are returned in a list. If only one array is found, the return value is just the processed array instead of a list. c[[UR5n/n[U5n[ U5S:aW[ US5(aDUR URS55 [ U5S:a[ US5(aMD/nUHPnU"[R"U5/UQ70UD6nU"[U5/UQ70UD6nUR [XxS95 MR [ U5S:XaUS$U$)Nr0rZr1) rsr\rkrOlenrRappendpopr7r<r?) rnr~rrarraysresrrrs rQr_fromnxfunction_args.__call__/sr4==)Dz$i!m 47 3 3 MM$((1+ &$i!m 47 3 3Abjjm5d5f5Bl1o777B JJ|B0 1 v;! q6M rSr}Nrr}rSrQrr&s  rSrc\rSrSrSrSrSrg)_fromnxfunction_allargsi?a A version of `_fromnxfunction` that is called with multiple array arguments. Similar to `_fromnxfunction_args` except that all args are converted to arrays even if they are not so already. This makes it possible to process scalars as 1-D arrays. Only keyword arguments are passed through verbatim for the data and mask calls. Arrays arguments are processed independently and the results are returned in a list. If only one arg is present, the return value is just the processed array instead of a list. c[[UR5n/nUHJnU"[R"U540UD6nU"[ U540UD6nUR [ XgS95 ML [U5S:XaUS$U$)NrZr1r0)rsr\rkr7r<rr?r)rnr~rrrrrrs rQr _fromnxfunction_allargs.__call__Jswr4==)Abjjm.v.Bl1o00B JJ|B0 1 t9>q6M rSr}Nrr}rSrQrr?s   rSrrrrr/rr rr+rrcSnU[U5:waG[XS5(aXXUS-&[XS5(aMUS- nU[U5:waMGU$)zFlatten a sequence in place.r0__iter__r1)rhasattr)rPks rQflatten_inplacerhs^ A C=cfj)) VC1q5Ncfj)) Q C= JrScx [USSS9nURn[X5nS/US- -n[R"US5n[ [ U55nURU5 [SS5Xq'[R"UR5RU5n URX5 U"U[UR55/UQ70UD6n [R"U 5n U (d [!U 5 /n U (Ga4U R%[R"U 5R&5 [ U [(5n X[U5'[R*"U 5nSnX:aUS==S- ss'SnUUU U:a:USU- :a1UUS- ==S- ss'SUU'US-nUUU U:a USU- :aM1URX5 U"U[UR55/UQ70UD6n X[U5'U R%[U 5R&5 US- nX:aMGO[U SSS9n UR-5n[SS5/U R-UU'URX5 [R*"U 5nU n[ UR5n U RX'U R%[U 5R&5 [/U 5n [ U [(5n X[[/UR555'SnX:aUS==S- ss'SnUUUU:a:USU- :a1UUS- ==S- ss'SUU'US-nUUUU:a USU- :aM1URX5 URX5 U"U[UR55/UQ70UD6n X[[/UR555'U R%[U 5R&5 US- nX:aM[R&"[R"U 5R155n[3US 5(d[R"U US 9nU$[U US 9n[4R6"U5UlU$!["a Sn GNf=f) z( (This docstring should be overwritten) FT)copysubokr0r1ONrerb)r6ndimrHr\rDrOrangeremoveslicer7r^takeputrNtolistisscalarr TypeErrorrr_objectprodrrmaxrrtdefault_fill_value fill_value)func1drWrVr~kwargsndindiindlistoutshaperasscalardtypesoutarrNtotrnj holdshape max_dtypesresults rQrrrs %t ,C B  )D #a.C SA59oG NN4D$AGzz#))$))'2HEE' U188:&' 9$ 9& 9C{{3H   H F bjjo++,x( uSzwwx  h GqLGAq6Xa[(qAF|AE a AQq6Xa[(qAF| EE' U188:./A$A&AC!$5:  MM'#,,, - FAhCe40 FFH$%&1$ gwwx   ? gcl(()"8,x(58u_QXXZ012 h GqLGAq6Yq\)QV AE a AQq6Yq\)QV  EE'  EE' U188:./A$A&AC9<545 6 MM'#,,, - FAh"**V,0023J 3 F*5 Mz211&9 Mw H s: R)) R98R9cX[U5nURn[U5RS:XaU4nUHpnUS:aXE-nX54nU"U6nURUR:XaUnM3[R"Xu5nURUR:XaUnMg[ S5e U$)z& (This docstring will be overwritten) r0z7function is not returning an array of the correct shape)r7rr6rt expand_dims ValueError)rr`axesvalNrWr~rs rQrrs !*C A T{1w !88D{Dk 88sxx C..+Cxx388# "899 JrSNotesao Examples -------- >>> a = np.ma.arange(24).reshape(2,3,4) >>> a[:,0,1] = np.ma.masked >>> a[:,1,:] = np.ma.masked >>> a masked_array( data=[[[0, --, 2, 3], [--, --, --, --], [8, 9, 10, 11]], [[12, --, 14, 15], [--, --, --, --], [20, 21, 22, 23]]], mask=[[[False, True, False, False], [ True, True, True, True], [False, False, False, False]], [[False, True, False, False], [ True, True, True, True], [False, False, False, False]]], fill_value=999999) >>> np.ma.apply_over_axes(np.ma.sum, a, [0,2]) masked_array( data=[[[46], [--], [124]]], mask=[[[False], [ True], [False]]], fill_value=999999) Tuple axis arguments to ufuncs are equivalent: >>> np.ma.sum(a, axis=(0,2)).reshape((1,-1,1)) masked_array( data=[[[46], [--], [124]]], mask=[[[False], [ True], [False]]], fill_value=999999) )keepdimsc&[U5n[U5nU[RLa0nOSU0nUc?UR"U40UD6nUR R URU55nGO[U5n [UR R [R[R45(a-[R"UR U R S5n O+[R"UR U R 5n URU R:waUc [S5eU RS:wa [S5eU RSURU:wa [S5e[R "XRS- S-U R-S S 9n U R#S U5n U[$La.XR&)-n U =R&UR&-slU R("SXS .UD6n[R*"X U S 9R("U40UD6U- nU(aKURUR:wa.[R "XR5R-5nXx4$U$)a Return the weighted average of array over the given axis. Parameters ---------- a : array_like Data to be averaged. Masked entries are not taken into account in the computation. axis : int, optional Axis along which to average `a`. If None, averaging is done over the flattened array. weights : array_like, optional The importance that each element has in the computation of the average. The weights array can either be 1-D (in which case its length must be the size of `a` along the given axis) or of the same shape as `a`. If ``weights=None``, then all data in `a` are assumed to have a weight equal to one. The 1-D calculation is:: avg = sum(a * weights) / sum(weights) The only constraint on `weights` is that `sum(weights)` must not be 0. returned : bool, optional Flag indicating whether a tuple ``(result, sum of weights)`` should be returned as output (True), or just the result (False). Default is False. keepdims : bool, optional If this is set to True, the axes which are reduced are left in the result as dimensions with size one. With this option, the result will broadcast correctly against the original `a`. *Note:* `keepdims` will not work with instances of `numpy.matrix` or other classes whose methods do not support `keepdims`. .. versionadded:: 1.23.0 Returns ------- average, [sum_of_weights] : (tuple of) scalar or MaskedArray The average along the specified axis. When returned is `True`, return a tuple with the average as the first element and the sum of the weights as the second element. The return type is `np.float64` if `a` is of integer type and floats smaller than `float64`, or the input data-type, otherwise. If returned, `sum_of_weights` is always `float64`. Examples -------- >>> a = np.ma.array([1., 2., 3., 4.], mask=[False, False, True, True]) >>> np.ma.average(a, weights=[3, 1, 0, 0]) 1.25 >>> x = np.ma.arange(6.).reshape(3, 2) >>> x masked_array( data=[[0., 1.], [2., 3.], [4., 5.]], mask=False, fill_value=1e+20) >>> avg, sumweights = np.ma.average(x, axis=0, weights=[1, 2, 3], ... returned=True) >>> avg masked_array(data=[2.6666666666666665, 3.6666666666666665], mask=[False, False], fill_value=1e+20) With ``keepdims=True``, the following result has shape (3, 1). >>> np.ma.average(x, axis=1, keepdims=True) masked_array( data=[[0.5], [2.5], [4.5]], mask=False, fill_value=1e+20) rf8z;Axis must be specified when shapes of a and weights differ.r1z81D weights expected when shapes of a and weights differ.r0z5Length of weights not compatible with specified axis.)r1Trr)rWr_rbr})r7r;r\_NoValuemeanr_typer: issubclassintegerbool_ result_typer^rrr broadcast_toswapaxesrAr[rUmultiplyr) r`rWweightsreturnedrrX keepdims_kwavgsclwgt result_dtypes rQrrsZ  A A2;; !8, ffT)[)iinnQWWT]+g aggllRZZ$: ; ;>>!''399dCL>>!''399=L 77cii |xx1}NPPyy|qwwt}, KMM//#q$'B$OC,,r4(C F?w-C HH HggC4C{Ckk! ,..1c226G:EGILM 99 !//#yy1668Cx rSc [US5(dZ[R"[USS9UX#US9n[ U[R 5(aSUR ::a [USS9$U$[U[XAUUS9$) ab Compute the median along the specified axis. Returns the median of the array elements. Parameters ---------- a : array_like Input array or object that can be converted to an array. axis : int, optional Axis along which the medians are computed. The default (None) is to compute the median along a flattened version of the array. out : ndarray, optional Alternative output array in which to place the result. It must have the same shape and buffer length as the expected output but the type will be cast if necessary. overwrite_input : bool, optional If True, then allow use of memory of input array (a) for calculations. The input array will be modified by the call to median. This will save memory when you do not need to preserve the contents of the input array. Treat the input as undefined, but it will probably be fully or partially sorted. Default is False. Note that, if `overwrite_input` is True, and the input is not already an `ndarray`, an error will be raised. keepdims : bool, optional If this is set to True, the axes which are reduced are left in the result as dimensions with size one. With this option, the result will broadcast correctly against the input array. .. versionadded:: 1.10.0 Returns ------- median : ndarray A new array holding the result is returned unless out is specified, in which case a reference to out is returned. Return data-type is `float64` for integers and floats smaller than `float64`, or the input data-type, otherwise. See Also -------- mean Notes ----- Given a vector ``V`` with ``N`` non masked values, the median of ``V`` is the middle value of a sorted copy of ``V`` (``Vs``) - i.e. ``Vs[(N-1)/2]``, when ``N`` is odd, or ``{Vs[N/2 - 1] + Vs[N/2]}/2`` when ``N`` is even. Examples -------- >>> x = np.ma.array(np.arange(8), mask=[0]*4 + [1]*4) >>> np.ma.median(x) 1.5 >>> x = np.ma.array(np.arange(10).reshape(2, 5), mask=[0]*6 + [1]*4) >>> np.ma.median(x) 2.5 >>> np.ma.median(x, axis=-1, overwrite_input=True) masked_array(data=[2.0, 5.0], mask=[False, False], fill_value=1e+20) r[Tr)rWoutoverwrite_inputrr1Fr)rrrWrr) rr\r"rErMrGrr?rJ_median)r`rWrrrrXs rQr"r"sxD 1f   IIgat,4' ) a $ $aff. .H AGhs$3 55rSc4^^[R"UR[R5(a[RnOSnU(a6Tc UR 5mTR US9 OUR TUS9 UmO [ UTUS9mTcSmO[TTR5mTRTS:XaU[S5/TR-n[SS5UT'[U5n[RRTUTUS9$TRS:XGa:[[T5S5upgTXg-S- US-n[R"TR[R5(aiTR S:aYUR#US9n U(d[R$"U SS US 9n [R&R(R+TU T5n OURUS9n [RR-U 5(aD[R."TR05(d[RR3T5$U $[TTS S 9n U S-n U S-S:Hn[R4"X{U S- 5n [R6"X/TS 9n [R8"TU TS 9nUU4SjnU"U5 [R"TR[R5(aw[RR#UTUS9n [R$"U R:SSU R:S 9 [R&R(R+TU T5n U $[RRUTUS9n U $)N)r)rWrr0)rWrr1)rg@safe)castingrTrWrrWc">[RRU5(aj[R"TRTSS9)UR-n[RR T5UR U'SURU'gg)NTrF)r\rt is_maskedallr[minimum_fill_valuedata)srepasortedrWs rQreplace_masked_median..replace_maskedsh 55??1  FF7<>> x = np.ma.array(np.arange(9).reshape(3, 3), mask=[[1, 0, 0], ... [1, 0, 0], ... [0, 0, 0]]) >>> x masked_array( data=[[--, 1, 2], [--, 4, 5], [6, 7, 8]], mask=[[ True, False, False], [ True, False, False], [False, False, False]], fill_value=999999) >>> np.ma.compress_rowcols(x) array([[7, 8]]) >>> np.ma.compress_rowcols(x, 0) array([[6, 7, 8]]) >>> np.ma.compress_rowcols(x, 1) array([[1, 2], [4, 5], [7, 8]]) rz*compress_rowcols works for 2D arrays only.r)r7rNotImplementedErrorr )rrWs rQr r bs,dqz!!"NOO q $$rScf[U5nURS:wa [S5e[US5$)z Suppress whole rows of a 2-D array that contain masked values. This is equivalent to ``np.ma.compress_rowcols(a, 0)``, see `compress_rowcols` for details. See Also -------- compress_rowcols rz'compress_rows works for 2D arrays only.r0r7rrr r`s rQrr1  Avv{!"KLL Aq !!rScf[U5nURS:wa [S5e[US5$)z Suppress whole columns of a 2-D array that contain masked values. This is equivalent to ``np.ma.compress_rowcols(a, 1)``, see `compress_rowcols` for details. See Also -------- compress_rowcols rz'compress_cols works for 2D arrays only.r1rrs rQr r rrSc[USS9nURS:wa [S5e[U5nU[LdUR 5(dU$UR 5nURR5UlU(d [U[R"US5'US;a$[USS2[R"US54'U$) a Mask rows and/or columns of a 2D array that contain masked values. Mask whole rows and/or columns of a 2D array that contain masked values. The masking behavior is selected using the `axis` parameter. - If `axis` is None, rows *and* columns are masked. - If `axis` is 0, only rows are masked. - If `axis` is 1 or -1, only columns are masked. Parameters ---------- a : array_like, MaskedArray The array to mask. If not a MaskedArray instance (or if no array elements are masked), the result is a MaskedArray with `mask` set to `nomask` (False). Must be a 2D array. axis : int, optional Axis along which to perform the operation. If None, applies to a flattened version of the array. Returns ------- a : MaskedArray A modified version of the input array, masked depending on the value of the `axis` parameter. Raises ------ NotImplementedError If input array `a` is not 2D. See Also -------- mask_rows : Mask rows of a 2D array that contain masked values. mask_cols : Mask cols of a 2D array that contain masked values. masked_where : Mask where a condition is met. Notes ----- The input array's mask is modified by this function. Examples -------- >>> import numpy.ma as ma >>> a = np.zeros((3, 3), dtype=int) >>> a[1, 1] = 1 >>> a array([[0, 0, 0], [0, 1, 0], [0, 0, 0]]) >>> a = ma.masked_equal(a, 1) >>> a masked_array( data=[[0, 0, 0], [0, --, 0], [0, 0, 0]], mask=[[False, False, False], [False, True, False], [False, False, False]], fill_value=1) >>> ma.mask_rowcols(a) masked_array( data=[[0, --, 0], [--, --, --], [0, --, 0]], mask=[[False, True, False], [ True, True, True], [False, True, False]], fill_value=1) Frrz&mask_rowcols works for 2D arrays only.r0)Nr1rNr1) r6rrr;rArnonzerorerr>r\r,)r`rWrX maskedvals rQrrsR auAvv{!"JKK AF{!%%'' IggllnAG %+"))IaL !" }(.!RYYy| $ $% HrSctU[RLa[R"S[SS9 [ US5$)a> Mask rows of a 2D array that contain masked values. This function is a shortcut to ``mask_rowcols`` with `axis` equal to 0. See Also -------- mask_rowcols : Mask rows and/or columns of a 2D array. masked_where : Mask where a condition is met. Examples -------- >>> import numpy.ma as ma >>> a = np.zeros((3, 3), dtype=int) >>> a[1, 1] = 1 >>> a array([[0, 0, 0], [0, 1, 0], [0, 0, 0]]) >>> a = ma.masked_equal(a, 1) >>> a masked_array( data=[[0, 0, 0], [0, --, 0], [0, 0, 0]], mask=[[False, False, False], [False, True, False], [False, False, False]], fill_value=1) >>> ma.mask_rows(a) masked_array( data=[[0, 0, 0], [--, --, --], [0, 0, 0]], mask=[[False, False, False], [ True, True, True], [False, False, False]], fill_value=1) TThe axis argument has always been ignored, in future passing it will raise TypeErrorr stacklevelr0r\rwarningswarnDeprecationWarningrr`rWs rQrrs9T 2;;   #$61 F 1 rSctU[RLa[R"S[SS9 [ US5$)a@ Mask columns of a 2D array that contain masked values. This function is a shortcut to ``mask_rowcols`` with `axis` equal to 1. See Also -------- mask_rowcols : Mask rows and/or columns of a 2D array. masked_where : Mask where a condition is met. Examples -------- >>> import numpy.ma as ma >>> a = np.zeros((3, 3), dtype=int) >>> a[1, 1] = 1 >>> a array([[0, 0, 0], [0, 1, 0], [0, 0, 0]]) >>> a = ma.masked_equal(a, 1) >>> a masked_array( data=[[0, 0, 0], [0, --, 0], [0, 0, 0]], mask=[[False, False, False], [False, True, False], [False, False, False]], fill_value=1) >>> ma.mask_cols(a) masked_array( data=[[0, --, 0], [0, --, 0], [0, --, 0]], mask=[[False, True, False], [False, True, False], [False, True, False]], fill_value=1) r!rr"r1r$r(s rQrrIs9R 2;;   #$61 F 1 rSc[R"U5RnUSSUSS- nU/nUbURSU5 UbUR U5 [ U5S:wa [ U5nU$)a Compute the differences between consecutive elements of an array. This function is the equivalent of `numpy.ediff1d` that takes masked values into account, see `numpy.ediff1d` for details. See Also -------- numpy.ediff1d : Equivalent function for ndarrays. r1Nrr0)rt asanyarrayflatinsertrrr)rVto_endto_beginedrs rQrrsw --  ! !C QR3s8 BTF a"  f 6{aF^ IrSc[R"UUUS9n[U[5(a3[ U5nUSR [ 5US'[U5nU$UR [ 5nU$)a Finds the unique elements of an array. Masked values are considered the same element (masked). The output array is always a masked array. See `numpy.unique` for more details. See Also -------- numpy.unique : Equivalent function for ndarrays. Examples -------- >>> import numpy.ma as ma >>> a = [1, 2, 1000, 2, 3] >>> mask = [0, 0, 1, 0, 0] >>> masked_a = ma.masked_array(a, mask) >>> masked_a masked_array(data=[1, 2, --, 2, 3], mask=[False, False, True, False, False], fill_value=999999) >>> ma.unique(masked_a) masked_array(data=[1, 2, 3, --], mask=[False, False, False, True], fill_value=999999) >>> ma.unique(masked_a, return_index=True) (masked_array(data=[1, 2, 3, --], mask=[False, False, False, True], fill_value=999999), array([0, 1, 4, 2])) >>> ma.unique(masked_a, return_inverse=True) (masked_array(data=[1, 2, 3, --], mask=[False, False, False, True], fill_value=999999), array([0, 1, 3, 1, 2])) >>> ma.unique(masked_a, return_index=True, return_inverse=True) (masked_array(data=[1, 2, 3, --], mask=[False, False, False, True], fill_value=999999), array([0, 1, 4, 2]), array([0, 1, 3, 1, 2])) ) return_indexreturn_inverser0)r\r,rMrNrOrdr3)ar1r2r3outputs rQr,r,snLYYs$0&46F&%  f1INN;/q v M[) MrScU(a[R"X45nO*[R"[U5[U545nUR5 USSUSSUSS:H$)a Returns the unique elements common to both arrays. Masked values are considered equal one to the other. The output is always a masked array. See `numpy.intersect1d` for more details. See Also -------- numpy.intersect1d : Equivalent function for ndarrays. Examples -------- >>> x = np.ma.array([1, 3, 3, 3], mask=[0, 0, 0, 1]) >>> y = np.ma.array([3, 1, 1, 1], mask=[0, 0, 0, 1]) >>> np.ma.intersect1d(x, y) masked_array(data=[1, 3, --], mask=[False, False, True], fill_value=999999) Nrr1)rtr8r,rC)r4ar2 assume_uniqueauxs rQrrs_.nncZ(nnfSk6#;78HHJ s8CGs3Bx' ((rSc4U(d[U5n[U5n[R"X45nURS:XaU$UR 5 UR 5n[R"S/USSUSS:gS/45nUSSUSS:HnX6$)z Set exclusive-or of 1-D arrays with unique elements. The output is always a masked array. See `numpy.setxor1d` for more details. See Also -------- numpy.setxor1d : Equivalent function for ndarrays. r0Tr1Nr)r,rtr8rrCr9)r4r7r8r9auxfflagflag2s rQr*r*s SkSk ..# $C xx1} HHJ ::>D6DHSb $9TFC DD !"Xcr "E :rScXU(d[USS9up[U5n[R"X45nURSS9nXVnU(a USSUSS:gnO USSUSS:Hn[R"X/45n URSS9S[ U5n U(aX$XW$)a Test whether each element of an array is also present in a second array. The output is always a masked array. See `numpy.in1d` for more details. We recommend using :func:`isin` instead of `in1d` for new code. See Also -------- isin : Version of this function that preserves the shape of ar1. numpy.in1d : Equivalent function for ndarrays. Notes ----- .. versionadded:: 1.4.0 T)r3 mergesort)kindr1Nr)r,rtr8argsortr) r4r7r8invertrev_idxarordersarbool_arr<indxs rQrr s& c$7 Sk  #B JJKJ (E )C qr7c#2h&qr7c#2h& >>7H- .D ==k= *9CH 5Dzz'""rScv[R"U5n[XUUS9RUR5$)aL Calculates `element in test_elements`, broadcasting over `element` only. The output is always a masked array of the same shape as `element`. See `numpy.isin` for more details. See Also -------- in1d : Flattened version of this function. numpy.isin : Equivalent function for ndarrays. Notes ----- .. versionadded:: 1.13.0 r8rB)rtr7rreshaper^)element test_elementsr8rBs rQrr3s4$jj!G m &ww}}56rSc@[[R"X4SS95$)z Union of two arrays. The output is always a masked array. See `numpy.union1d` for more details. See Also -------- numpy.union1d : Equivalent function for ndarrays. Nr)r,rtr8)r4r7s rQr-r-Js "..#$7 88rScU(a%[R"U5R5nO[U5n[U5nU[ XSSS9$)a Set difference of 1D arrays with unique elements. The output is always a masked array. See `numpy.setdiff1d` for more details. See Also -------- numpy.setdiff1d : Equivalent function for ndarrays. Examples -------- >>> x = np.ma.array([1, 2, 3, 4], mask=[0, 1, 0, 1]) >>> np.ma.setdiff1d(x, [1, 2]) masked_array(data=[3, --], mask=[False, True], fill_value=999999) TrJ)rtr7rr,r)r4r7r8s rQr)r)XsC(jjo##%SkSk tCD> ??rSTc,[R"USS[S9n[R"U5nU(d UR 5(a [ S5eUR SS:XaSn[[U55nSU- nU(a[S5S4nO S[S54nUc+[R"U5R[5nGO'[USS[S 9n[R"U5nU(d UR 5(a [ S5eUR 5(dUR 5(aYUR UR :Xa?[R"XH5n U [La U =n=Ul=UlnSUlSUl[R""X4U5n[R"[R""XH4U55R[5nXR%US 9U-nXU4$) zS Private function for the computation of covariance and correlation coefficients. rT)ndminrr_zCannot process masked data.r0r1NF)rrQr_r)rtr6floatr<rrr^intboolrr\ logical_notastype logical_orrAre _sharedmaskr8r) ryrowvar allow_maskedxmaskrWtupxnotmaskymask common_masks rQ _covhelperrays !$e4A OOA E EIIKK677wwqzQ f F v:D T{D!U4[!y>>%(//4 !%q 6" :; ; 99;;%))++ww!''! mmE9 f,8CCECAGCag$)AM$)AM NNA64 (>>"..%"FGNNsSV S !!A   rScUbU[U5:wa [S5eUc U(aSnOSn[XX$5upnU(d][R"UR U5S-U- n[ UR UR 5SS9U- R5nU$[R"XfR 5S-U- n[ XR R 5SS9U- R5nU$)a Estimate the covariance matrix. Except for the handling of missing data this function does the same as `numpy.cov`. For more details and examples, see `numpy.cov`. By default, masked values are recognized as such. If `x` and `y` have the same shape, a common mask is allocated: if ``x[i,j]`` is masked, then ``y[i,j]`` will also be masked. Setting `allow_masked` to False will raise an exception if values are missing in either of the input arrays. Parameters ---------- x : array_like A 1-D or 2-D array containing multiple variables and observations. Each row of `x` represents a variable, and each column a single observation of all those variables. Also see `rowvar` below. y : array_like, optional An additional set of variables and observations. `y` has the same shape as `x`. rowvar : bool, optional If `rowvar` is True (default), then each row represents a variable, with observations in the columns. Otherwise, the relationship is transposed: each column represents a variable, while the rows contain observations. bias : bool, optional Default normalization (False) is by ``(N-1)``, where ``N`` is the number of observations given (unbiased estimate). If `bias` is True, then normalization is by ``N``. This keyword can be overridden by the keyword ``ddof`` in numpy versions >= 1.5. allow_masked : bool, optional If True, masked values are propagated pair-wise: if a value is masked in `x`, the corresponding value is masked in `y`. If False, raises a `ValueError` exception when some values are missing. ddof : {None, int}, optional If not ``None`` normalization is by ``(N - ddof)``, where ``N`` is the number of observations; this overrides the value implied by ``bias``. The default value is ``None``. .. versionadded:: 1.5 Raises ------ ValueError Raised if some values are missing and `allow_masked` is False. See Also -------- numpy.cov zddof must be an integerr0r1?Fstrict)rSrrar\rTconjsqueeze) rrYrZbiasr[ddofr^factrs rQrrsl DCI-233 | DD&qVBQ& vvhjj(+b047acc1668E2T9BBD Mvvh +b047aE2T9BBD MrSc SnU[RLdU[RLa[R"U[SS9 [ XX$5upnU(dY[R "URU5S-n[ URUR5SS9U- R5n OV[R "XwR5S-n[ XRR5SS9U- R5n [R"U 5n UR5(a7[R"[RR!X55n X- $[#U 5n SU lUR&SU- n U(a[)U S- 5H}n [)U S-U 5Hgn[+[-X X455R/SS9n[R"[RR1U55=XU4'XU 4'Mi M X- $[)U S- 5Hn [)U S-U 5Hqn[+[-US S 2U 4US S 2U4455R/SS9n[R"[RR1U55=XU4'XU 4'Ms M X- $![a gf=f) a Return Pearson product-moment correlation coefficients. Except for the handling of missing data this function does the same as `numpy.corrcoef`. For more details and examples, see `numpy.corrcoef`. Parameters ---------- x : array_like A 1-D or 2-D array containing multiple variables and observations. Each row of `x` represents a variable, and each column a single observation of all those variables. Also see `rowvar` below. y : array_like, optional An additional set of variables and observations. `y` has the same shape as `x`. rowvar : bool, optional If `rowvar` is True (default), then each row represents a variable, with observations in the columns. Otherwise, the relationship is transposed: each column represents a variable, while the rows contain observations. bias : _NoValue, optional Has no effect, do not use. .. deprecated:: 1.10.0 allow_masked : bool, optional If True, masked values are propagated pair-wise: if a value is masked in `x`, the corresponding value is masked in `y`. If False, raises an exception. Because `bias` is deprecated, this argument needs to be treated as keyword only to avoid a warning. ddof : _NoValue, optional Has no effect, do not use. .. deprecated:: 1.10.0 See Also -------- numpy.corrcoef : Equivalent function in top-level NumPy module. cov : Estimate the covariance matrix. Notes ----- This function accepts but discards arguments `bias` and `ddof`. This is for backwards compatibility with previous versions of this function. These arguments had no effect on the return values of the function and can be safely ignored in this and previous versions of numpy. z/bias and ddof have no effect and are deprecatedrr"rcFrdr1rN)r\rr%r&r'rarrfrgrhrtdiagonalrrsqrtrouterrrXr^rrr/varreduce)rrYrZrir[rjmsgr^rkcdiag_denomrrr_xs rQrrsZ` [TU]URSS9n[X!RS9$)NFrrZ)supermakematrr6r[)clsrVr __class__s rQr{MAxisConcatenator.makematTs* wsxxe4T))rScb>[U[5(a [S5e[TU]U5$)NzUnavailable for masked array.)rMstrr4rz __getitem__)rnkeyr}s rQrMAxisConcatenator.__getitem__]s, c3  9: :w"3''rSr}) rkrrrrm staticmethodr8 classmethodr{rr __classcell__)r}s@rQrxrxGs0 {+K**((rSrxc\rSrSrSrSrSrg)mr_classiea] Translate slice objects to concatenation along the first axis. This is the masked array version of `lib.index_tricks.RClass`. See Also -------- lib.index_tricks.RClass Examples -------- >>> np.ma.mr_[np.ma.array([1,2,3]), 0, 0, np.ma.array([4,5,6])] masked_array(data=[1, 2, 3, ..., 4, 5, 6], mask=False, fill_value=999999) c0[RUS5 g)Nr0)rxrp)rns rQrpmr_class.__init__ws""4+rSr}N)rkrrrrmrprr}rSrQrres ",rSrc## [[R"U5[U5R5H(up#U(dUv MU(aMUS[ 4v M* g7f)a Multidimensional index iterator. Return an iterator yielding pairs of array coordinates and values, skipping elements that are masked. With `compressed=False`, `ma.masked` is yielded as the value of masked elements. This behavior differs from that of `numpy.ndenumerate`, which yields the value of the underlying data array. Notes ----- .. versionadded:: 1.23.0 Parameters ---------- a : array_like An array with (possibly) masked elements. compressed : bool, optional If True (default), masked elements are skipped. See Also -------- numpy.ndenumerate : Equivalent function ignoring any mask. Examples -------- >>> a = np.ma.arange(9).reshape((3, 3)) >>> a[1, 0] = np.ma.masked >>> a[1, 2] = np.ma.masked >>> a[2, 1] = np.ma.masked >>> a masked_array( data=[[0, 1, 2], [--, 4, --], [6, --, 8]], mask=[[False, False, False], [ True, False, True], [False, True, False]], fill_value=999999) >>> for index, x in np.ma.ndenumerate(a): ... print(index, x) (0, 0) 0 (0, 1) 1 (0, 2) 2 (1, 1) 4 (2, 0) 6 (2, 2) 8 >>> for index, x in np.ma.ndenumerate(a, compressed=False): ... print(index, x) (0, 0) 0 (0, 1) 1 (0, 2) 2 (1, 0) -- (1, 1) 4 (1, 2) -- (2, 0) 6 (2, 1) -- (2, 2) 8 r0N)zipr\r$r<r,r>)r` compresseditr[s rQr$r$sJzq)<?+?+?@HQ%-  As A A#A#c[U5nU[Ld[R"U5(d%[R"SUR S- /5$[R "U)5n[U5S:aUSS/$g)a1 Find the indices of the first and last unmasked values. Expects a 1-D `MaskedArray`, returns None if all values are masked. Parameters ---------- a : array_like Input 1-D `MaskedArray` Returns ------- edges : ndarray or None The indices of first and last non-masked value in the array. Returns None if all values are masked. See Also -------- flatnotmasked_contiguous, notmasked_contiguous, notmasked_edges clump_masked, clump_unmasked Notes ----- Only accepts 1-D arrays. Examples -------- >>> a = np.ma.arange(10) >>> np.ma.flatnotmasked_edges(a) array([0, 9]) >>> mask = (a < 3) | (a > 8) | (a == 5) >>> a[mask] = np.ma.masked >>> np.array(a[~a.mask]) array([3, 4, 6, 7, 8]) >>> np.ma.flatnotmasked_edges(a) array([3, 8]) >>> a[:] = np.ma.masked >>> print(np.ma.flatnotmasked_edges(a)) None r0r1rN)r;rAr\rr6r flatnonzeror)r`rXunmaskeds rQrrsjZ  AF{"&&))xxAFFQJ((~~qb!H 8}qB  rSc J[U5nUbURS:Xa [U5$[U5n[ [ R "UR5[ R"U/UR-5S9n[[UR5Vs/sH$oCURU5R5PM& sn5[[UR5Vs/sH$oCURU5R5PM& sn5/$s snfs snf)a Find the indices of the first and last unmasked values along an axis. If all values are masked, return None. Otherwise, return a list of two tuples, corresponding to the indices of the first and last unmasked values respectively. Parameters ---------- a : array_like The input array. axis : int, optional Axis along which to perform the operation. If None (default), applies to a flattened version of the array. Returns ------- edges : ndarray or list An array of start and end indexes if there are any masked data in the array. If there are no masked data in the array, `edges` is a list of the first and last index. See Also -------- flatnotmasked_contiguous, flatnotmasked_edges, notmasked_contiguous clump_masked, clump_unmasked Examples -------- >>> a = np.arange(9).reshape((3, 3)) >>> m = np.zeros_like(a) >>> m[1:, 1:] = 1 >>> am = np.ma.array(a, mask=m) >>> np.array(am[~am.mask]) array([0, 1, 2, 3, 6]) >>> np.ma.notmasked_edges(am) array([0, 6]) r1rZ) r7rrr<r6r\indicesr^rNrminrr)r`rWrXr rs rQr&r&sT  A |qvv{"1%%QA  177#"**aS166\*B CC %-H-Qq6::d#..0-H I %-H-Qq6::d#..0-H I MMHHs +D(+D c6[U5nU[La[SUR5/$Sn/n[R "UR 55HAupE[[U55nU(dUR[X"U-55 X&- nMC U$)aB Find contiguous unmasked data in a masked array. Parameters ---------- a : array_like The input array. Returns ------- slice_list : list A sorted sequence of `slice` objects (start index, end index). .. versionchanged:: 1.15.0 Now returns an empty list instead of None for a fully masked array See Also -------- flatnotmasked_edges, notmasked_contiguous, notmasked_edges clump_masked, clump_unmasked Notes ----- Only accepts 2-D arrays at most. Examples -------- >>> a = np.ma.arange(10) >>> np.ma.flatnotmasked_contiguous(a) [slice(0, 10, None)] >>> mask = (a < 3) | (a > 8) | (a == 5) >>> a[mask] = np.ma.masked >>> np.array(a[~a.mask]) array([3, 4, 6, 7, 8]) >>> np.ma.flatnotmasked_contiguous(a) [slice(3, 5, None), slice(6, 9, None)] >>> a[:] = np.ma.masked >>> np.ma.flatnotmasked_contiguous(a) [] r0) r;rArr itertoolsgroupbyrrrOr)r`rXrrrgrs rQrr/sX  AF{a !! A F##AGGI. QL MM%q5/ *  / MrSc H[U5nURnUS:a [S5eUbUS:Xa [U5$/nUS-S-nSS/n[ SS5XQ'[ UR U5H-nXeU'UR[U[U555 M/ U$)a Find contiguous unmasked data in a masked array along the given axis. Parameters ---------- a : array_like The input array. axis : int, optional Axis along which to perform the operation. If None (default), applies to a flattened version of the array, and this is the same as `flatnotmasked_contiguous`. Returns ------- endpoints : list A list of slices (start and end indexes) of unmasked indexes in the array. If the input is 2d and axis is specified, the result is a list of lists. See Also -------- flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges clump_masked, clump_unmasked Notes ----- Only accepts 2-D arrays at most. Examples -------- >>> a = np.arange(12).reshape((3, 4)) >>> mask = np.zeros_like(a) >>> mask[1:, :-1] = 1; mask[0, 1] = 1; mask[-1, 0] = 0 >>> ma = np.ma.array(a, mask=mask) >>> ma masked_array( data=[[0, --, 2, 3], [--, --, --, 7], [8, --, --, 11]], mask=[[False, True, False, False], [ True, True, True, False], [False, True, True, False]], fill_value=999999) >>> np.array(ma[~ma.mask]) array([ 0, 2, 3, 7, 8, 11]) >>> np.ma.notmasked_contiguous(ma) [slice(0, 1, None), slice(2, 4, None), slice(7, 9, None), slice(11, 12, None)] >>> np.ma.notmasked_contiguous(ma, axis=0) [[slice(0, 1, None), slice(2, 3, None)], [], [slice(0, 1, None)], [slice(0, 3, None)]] >>> np.ma.notmasked_contiguous(ma, axis=1) [[slice(0, 1, None), slice(2, 4, None)], [slice(3, 4, None)], [slice(0, 1, None), slice(3, 4, None)]] rz&Currently limited to at most 2D array.Nr1r0) r7rrrrrr^rrN)r`rWrrotherr rs rQr%r%hst  A B Av!"JKK |rQw'** F AXNE a&CdD!CI 1775> "E  .qs}=># MrSc bURS:aUR5nUSSUSS- R5nUSS-nUS(ae[U5S:Xa[ SUR 5/$[ SUS5/nUR S[USSS2USSS2555 OF[U5S:Xa/$[USSS2USSS25VVs/sHup4[ X45PM nnnUS(a(UR[ USUR 55 U$s snnf)zj Finds the clumps (groups of data with the same values) for a 1D bool array. Returns a series of slices. r1Nrr0c3<# UHup[X5v M g7frj)r).0leftrights rQ _ezclump..s"B%@kd$$%@sr) rrrrrrextendrr)r[r rrrs rQ_ezclumprs-  yy1}zz| 8d3Bi  ( ( *C a&1*C Aw s8q=!TYY'( ( 1c!f   B%(Qr!Vc!$Q$i%@B C s8q=I36s5Bq5z3qt!t93M N3MKDU4 3M N Bx s2w *+ H OsD+c|[US[5nU[La[SUR5/$[ U)5$)a Return list of slices corresponding to the unmasked clumps of a 1-D array. (A "clump" is defined as a contiguous region of the array). Parameters ---------- a : ndarray A one-dimensional masked array. Returns ------- slices : list of slice The list of slices, one for each continuous region of unmasked elements in `a`. Notes ----- .. versionadded:: 1.4.0 See Also -------- flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges notmasked_contiguous, clump_masked Examples -------- >>> a = np.ma.masked_array(np.arange(10)) >>> a[[0, 1, 2, 6, 8, 9]] = np.ma.masked >>> np.ma.clump_unmasked(a) [slice(3, 6, None), slice(7, 8, None)] rer0)rsrArrrr`r[s rQr r s:B 1gv &D v~a !! TE?rScZ[R"U5nU[La/$[U5$)a Returns a list of slices corresponding to the masked clumps of a 1-D array. (A "clump" is defined as a contiguous region of the array). Parameters ---------- a : ndarray A one-dimensional masked array. Returns ------- slices : list of slice The list of slices, one for each continuous region of masked elements in `a`. Notes ----- .. versionadded:: 1.4.0 See Also -------- flatnotmasked_edges, flatnotmasked_contiguous, notmasked_edges notmasked_contiguous, clump_unmasked Examples -------- >>> a = np.ma.masked_array(np.arange(10)) >>> a[[0, 1, 2, 6, 8, 9]] = np.ma.masked >>> np.ma.clump_masked(a) [slice(0, 3, None), slice(6, 7, None), slice(8, 10, None)] )rtr;rArrs rQrrs(B ::a=D v~ D>rScb[R"X5n[U5nU[LaSX#'U$)z< Masked values in the input array result in rows of zeros. r0)r\r.r;rA)rr_vanderrXs rQr.r.%s- iioG A NrSc [U5n[U5n[U5nURS:Xa[U[U55nOKURS:Xa0[[ U55nU[ La[XxSS2S45nO [ S5eUbf[U5nURS:wa [ S5eURSURS:wa [ S5e[U[U55nU[ La(U)n UbXYn[R"X XX#XEU5$[R"XX#XEU5$)z= Any masked values in x is propagated in y, and vice-versa. r1rNr0z Expected a 1D or 2D array for y!z expected a 1-d array for weightsz(expected w and y to have the same length) r7r;rr@rrArr^r\r') rrYdegrcondfullwrrXmynot_ms rQr'r'3s  A A Avv{ Awqz " 1 Yq\ " V ad8$A:;;} AJ 66Q;>? ? 771: #FG G Awqz " =Azz!(AHc$3GGzz!DS99rSrj)NNF)NNFF)NN)FF)F)NTT)NTFTN)T)NFNF)frm__all__rr%r2rtr3r4r5r6r7r8r9r:r;r<r=r>r?r@rArBrCrDrErFrnumpyr\rGrnumpy.core.multiarrayrHnumpy.core.numericrInumpy.lib.function_baserJnumpy.lib.index_tricksrKrRrrRr r!rgrrrrrrrr/r(rr rr+rrrrrfindrstriprrr"rr r rr rrrrr,rr*rrr-r)rarrrxrr#r$rr&rr%rr rr.rvr'r}rSrQrs   +63,333l"1 h4 t/ / d-_-$ )/ )?2o.%\ 2 $\ 2 $\ 2 (22 X &">2 X &G$  ) !* - O`..662& 00881   # # ( ( 133968+-O`A[[AHL5^R j(V4%n"$"$V rkk0fkk/l:/d)@6'#T6. 9@B(!VFRt"++D++Tt(((<, ,*jA H4n0Mf6rJZ :$N$X RYY..? :D++bjj00'//BrS