o tBh@s dZddlZddlmZddlZddlmZddlm Z ddl m Z ddl m Z mZmZd d lmZmZd d lmZmZd d lmZd d lmZdZd"ddZ     d#ddZdddddddddZddddddddddZGdddeee Z    d$ddZ Gd d!d!ee Z!dS)%z'Orthogonal matching pursuit algorithms N)sqrt)linalg)get_lapack_funcs)Parallel) LinearModel_pre_fit_deprecate_normalize)RegressorMixinMultiOutputMixin)as_float_array check_array)delayed)check_cvzOrthogonal matching pursuit ended prematurely due to linear dependence in the dictionary. The requested precision might not have been met.TFcCs|r|d}nt|}t|jj}td|f\}}td|f\} t |j |} |} t d} d} t |j d}|durE|j dn|}tj ||f|jd}|rXt|} ttt |j | }|| ksr| |d |kr{tjttd d n| dkrt |ddd| fj |dd|f|| d| f<tj|d| d| f|| d| fdddd d ||| d| fd }t|dd|fd |}||krtjttd d nt||| | f<n t|dd|f|d <||j | |j |\|j | <|j |<| || | | | <| |<|||| || <||<| d7} | |d| d| f| d| dd d\} }|rE| |d| | df<|t |ddd| f| } |durd|| d |krdn| |krjnqY|r| |d| |ddd| f| fS| |d| | fS)aOrthogonal Matching Pursuit step using the Cholesky decomposition. Parameters ---------- X : ndarray of shape (n_samples, n_features) Input dictionary. Columns are assumed to have unit norm. y : ndarray of shape (n_samples,) Input targets. n_nonzero_coefs : int Targeted number of non-zero elements. tol : float, default=None Targeted squared error, if not None overrides n_nonzero_coefs. copy_X : bool, default=True Whether the design matrix X must be copied by the algorithm. A false value is only helpful if X is already Fortran-ordered, otherwise a copy is made anyway. return_path : bool, default=False Whether to return every value of the nonzero coefficients along the forward path. Useful for cross-validation. Returns ------- gamma : ndarray of shape (n_nonzero_coefs,) Non-zero elements of the solution. idx : ndarray of shape (n_nonzero_coefs,) Indices of the positions of the elements in gamma within the solution vector. coef : ndarray of shape (n_features, n_nonzero_coefs) The first k values of column k correspond to the coefficient value for the active features at that step. The lower left triangle contains garbage. Only returned if ``return_path=True``. n_active : int Number of active features at convergence. Fnrm2swappotrsrrNdtypeTr  stacklevelFtranslower overwrite_b check_finiterrrr)copynpasfortranarrayfinforepsrget_blas_funcsrdotTemptyarangeshape empty_likeargmaxabswarningswarn prematureRuntimeWarningsolve_triangularnormr)Xyn_nonzero_coefstolcopy_X return_path min_floatrrralpharesidualgamman_activeindices max_featuresLcoefslamvLkk_rIp/var/www/html/riverr-enterprise-integrations-main/venv/lib/python3.10/site-packages/sklearn/linear_model/_omp.py _cholesky_ompsn+    6&    -$rKcCs.|r|dnt|}|s|jjs|}t|jj}t d|f\} } t d|f\} t t |} |} |}d}t d}d}|durIt |n|}tj ||f|jd}d|d<|r`t|} tt| }||ksu| |d |kr~tjttd d n|dkr||d|f||d|f<tj|d|d|f||d|fdd d dd| ||d|fd }|||f|}||krtjttd d nt||||f<n t|||f|d<| ||||\||<||<| |j||j|\|j|<|j|<| || || |<| |<||||||<||<|d 7}| |d|d|f|d|d dd\}}|r@||d||d f<t|ddd|f|}||} |durr||7}t||d|}||8}t||krqnn||krxnqa|r|| d||ddd|f|fS|| d||fS)aOrthogonal Matching Pursuit step on a precomputed Gram matrix. This function uses the Cholesky decomposition method. Parameters ---------- Gram : ndarray of shape (n_features, n_features) Gram matrix of the input data matrix. Xy : ndarray of shape (n_features,) Input targets. n_nonzero_coefs : int Targeted number of non-zero elements. tol_0 : float, default=None Squared norm of y, required if tol is not None. tol : float, default=None Targeted squared error, if not None overrides n_nonzero_coefs. copy_Gram : bool, default=True Whether the gram matrix must be copied by the algorithm. A false value is only helpful if it is already Fortran-ordered, otherwise a copy is made anyway. copy_Xy : bool, default=True Whether the covariance vector Xy must be copied by the algorithm. If False, it may be overwritten. return_path : bool, default=False Whether to return every value of the nonzero coefficients along the forward path. Useful for cross-validation. Returns ------- gamma : ndarray of shape (n_nonzero_coefs,) Non-zero elements of the solution. idx : ndarray of shape (n_nonzero_coefs,) Indices of the positions of the elements in gamma within the solution vector. coefs : ndarray of shape (n_features, n_nonzero_coefs) The first k values of column k correspond to the coefficient value for the active features at that step. The lower left triangle contains garbage. Only returned if ``return_path=True``. n_active : int Number of active features at convergence. rrrrNrg?r Tr rrFrr!)r"r#r$flags writeabler%rr&rr'rr+lenr*r-r.r/r0r1r2r3r4rr)r(inner)GramXyr8tol_0r9 copy_Gramcopy_Xyr;r<rrrrAr=tol_currdeltar?r@rBrCrDrErFrGrHbetarIrIrJ _gram_omps=   &    /$rY)r8r9 precomputer:r; return_n_iterc Csrt|d|d}d}|jdkr|dd}t|}|jddkr!d}|dur5|dur5ttd|jdd}|durA|d krAtd |durM|d krMtd |dur\||jdkr\td |d krj|jd |jdk}|rt|j |}t |}t|j |} |durtj |dd d} nd} t || ||| |d|dS|rt |jd|jd|jdf} n t |jd|jdf} g} t|jdD]X} t||dd| f||||d}|r |\}}}}| dddddt|f} t|j D]\}}|d|d| |d|d| |f<qn |\}}}|| || f<| |q|jddkr*| d } |r4t| | fSt| S)a0 Orthogonal Matching Pursuit (OMP). Solves n_targets Orthogonal Matching Pursuit problems. An instance of the problem has the form: When parametrized by the number of non-zero coefficients using `n_nonzero_coefs`: argmin ||y - X\gamma||^2 subject to ||\gamma||_0 <= n_{nonzero coefs} When parametrized by error using the parameter `tol`: argmin ||\gamma||_0 subject to ||y - X\gamma||^2 <= tol Read more in the :ref:`User Guide `. Parameters ---------- X : ndarray of shape (n_samples, n_features) Input data. Columns are assumed to have unit norm. y : ndarray of shape (n_samples,) or (n_samples, n_targets) Input targets. n_nonzero_coefs : int, default=None Desired number of non-zero entries in the solution. If None (by default) this value is set to 10% of n_features. tol : float, default=None Maximum norm of the residual. If not None, overrides n_nonzero_coefs. precompute : 'auto' or bool, default=False Whether to perform precomputations. Improves performance when n_targets or n_samples is very large. copy_X : bool, default=True Whether the design matrix X must be copied by the algorithm. A false value is only helpful if X is already Fortran-ordered, otherwise a copy is made anyway. return_path : bool, default=False Whether to return every value of the nonzero coefficients along the forward path. Useful for cross-validation. return_n_iter : bool, default=False Whether or not to return the number of iterations. Returns ------- coef : ndarray of shape (n_features,) or (n_features, n_targets) Coefficients of the OMP solution. If `return_path=True`, this contains the whole coefficient path. In this case its shape is (n_features, n_features) or (n_features, n_targets, n_features) and iterating over the last axis generates coefficients in increasing order of active features. n_iters : array-like or int Number of active features across every target. Returned only if `return_n_iter` is set to True. See Also -------- OrthogonalMatchingPursuit : Orthogonal Matching Pursuit model. orthogonal_mp_gram : Solve OMP problems using Gram matrix and the product X.T * y. lars_path : Compute Least Angle Regression or Lasso path using LARS algorithm. sklearn.decomposition.sparse_encode : Sparse coding. Notes ----- Orthogonal matching pursuit was introduced in S. Mallat, Z. Zhang, Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, Vol. 41, No. 12. (December 1993), pp. 3397-3415. (http://blanche.polytechnique.fr/~mallat/papiers/MallatPursuit93.pdf) This implementation is based on Rubinstein, R., Zibulevsky, M. and Elad, M., Efficient Implementation of the K-SVD Algorithm using Batch Orthogonal Matching Pursuit Technical Report - CS Technion, April 2008. https://www.cs.technion.ac.il/~ronrubin/Publications/KSVD-OMP-v2.pdf rorderr"FrTN皙?rEpsilon cannot be negative$The number of atoms must be positive>The number of atoms cannot be more than the number of featuresautor axis)r8r9 norms_squaredrTrUr;)r:r;)rndimreshaper,maxint ValueErrorr#r(r)r$sumorthogonal_mp_gramzerosrangerKrO enumerateappendsqueeze)r6r7r8r9rZr:r;r[GrRrfcoefn_iterskoutrHidxrDn_iterr@xrIrIrJ orthogonal_mpstX    $ (    r{)r8r9rfrTrUr;r[c CsJt|d|d}t|}|jdkr|jddkrd}|jdkr/|ddtjf}|dur/|g}|s5|jjs9|}|durI|durIt dt |}|durU|durUt d|dura|dkrat d |durm|dkrmt d |dur{|t |kr{t d |rtj t ||jdt |f|j d } ntj t ||jdf|j d } g} t|jdD]a} t||dd| f||dur|| nd||d |d} |r| \} }}}| dddddt |f} t|jD]\}}|d|d| |d|d| |f<qn | \}}}|| || f<| |q|jddkr| d} |r t| | fSt| S)a Gram Orthogonal Matching Pursuit (OMP). Solves n_targets Orthogonal Matching Pursuit problems using only the Gram matrix X.T * X and the product X.T * y. Read more in the :ref:`User Guide `. Parameters ---------- Gram : ndarray of shape (n_features, n_features) Gram matrix of the input data: X.T * X. Xy : ndarray of shape (n_features,) or (n_features, n_targets) Input targets multiplied by X: X.T * y. n_nonzero_coefs : int, default=None Desired number of non-zero entries in the solution. If None (by default) this value is set to 10% of n_features. tol : float, default=None Maximum norm of the residual. If not None, overrides n_nonzero_coefs. norms_squared : array-like of shape (n_targets,), default=None Squared L2 norms of the lines of y. Required if tol is not None. copy_Gram : bool, default=True Whether the gram matrix must be copied by the algorithm. A false value is only helpful if it is already Fortran-ordered, otherwise a copy is made anyway. copy_Xy : bool, default=True Whether the covariance vector Xy must be copied by the algorithm. If False, it may be overwritten. return_path : bool, default=False Whether to return every value of the nonzero coefficients along the forward path. Useful for cross-validation. return_n_iter : bool, default=False Whether or not to return the number of iterations. Returns ------- coef : ndarray of shape (n_features,) or (n_features, n_targets) Coefficients of the OMP solution. If `return_path=True`, this contains the whole coefficient path. In this case its shape is (n_features, n_features) or (n_features, n_targets, n_features) and iterating over the last axis yields coefficients in increasing order of active features. n_iters : array-like or int Number of active features across every target. Returned only if `return_n_iter` is set to True. See Also -------- OrthogonalMatchingPursuit orthogonal_mp lars_path sklearn.decomposition.sparse_encode Notes ----- Orthogonal matching pursuit was introduced in G. Mallat, Z. Zhang, Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, Vol. 41, No. 12. (December 1993), pp. 3397-3415. (http://blanche.polytechnique.fr/~mallat/papiers/MallatPursuit93.pdf) This implementation is based on Rubinstein, R., Zibulevsky, M. and Elad, M., Efficient Implementation of the K-SVD Algorithm using Batch Orthogonal Matching Pursuit Technical Report - CS Technion, April 2008. https://www.cs.technion.ac.il/~ronrubin/Publications/KSVD-OMP-v2.pdf rr\rTNr_zSGram OMP needs the precomputed norms in order to evaluate the error sum of squares.rr`rarbrF)rTrUr;)rr#asarrayrgr,newaxisrMrNr"rjrOrkrnrrorYrpr)rqrr)rQrRr8r9rfrTrUr;r[rtrurvrwrHrxrDryr@rzrIrIrJrmsjV   & (    rmc@s.eZdZdZddddddddZd d ZdS) OrthogonalMatchingPursuitaOrthogonal Matching Pursuit model (OMP). Read more in the :ref:`User Guide `. Parameters ---------- n_nonzero_coefs : int, default=None Desired number of non-zero entries in the solution. If None (by default) this value is set to 10% of n_features. tol : float, default=None Maximum norm of the residual. If not None, overrides n_nonzero_coefs. fit_intercept : bool, default=True Whether to calculate the intercept for this model. If set to false, no intercept will be used in calculations (i.e. data is expected to be centered). normalize : bool, default=True This parameter is ignored when ``fit_intercept`` is set to False. If True, the regressors X will be normalized before regression by subtracting the mean and dividing by the l2-norm. If you wish to standardize, please use :class:`~sklearn.preprocessing.StandardScaler` before calling ``fit`` on an estimator with ``normalize=False``. .. deprecated:: 1.0 ``normalize`` was deprecated in version 1.0. It will default to False in 1.2 and be removed in 1.4. precompute : 'auto' or bool, default='auto' Whether to use a precomputed Gram and Xy matrix to speed up calculations. Improves performance when :term:`n_targets` or :term:`n_samples` is very large. Note that if you already have such matrices, you can pass them directly to the fit method. Attributes ---------- coef_ : ndarray of shape (n_features,) or (n_targets, n_features) Parameter vector (w in the formula). intercept_ : float or ndarray of shape (n_targets,) Independent term in decision function. n_iter_ : int or array-like Number of active features across every target. n_nonzero_coefs_ : int The number of non-zero coefficients in the solution. If `n_nonzero_coefs` is None and `tol` is None this value is either set to 10% of `n_features` or 1, whichever is greater. n_features_in_ : int Number of features seen during :term:`fit`. .. versionadded:: 0.24 feature_names_in_ : ndarray of shape (`n_features_in_`,) Names of features seen during :term:`fit`. Defined only when `X` has feature names that are all strings. .. versionadded:: 1.0 See Also -------- orthogonal_mp : Solves n_targets Orthogonal Matching Pursuit problems. orthogonal_mp_gram : Solves n_targets Orthogonal Matching Pursuit problems using only the Gram matrix X.T * X and the product X.T * y. lars_path : Compute Least Angle Regression or Lasso path using LARS algorithm. Lars : Least Angle Regression model a.k.a. LAR. LassoLars : Lasso model fit with Least Angle Regression a.k.a. Lars. sklearn.decomposition.sparse_encode : Generic sparse coding. Each column of the result is the solution to a Lasso problem. OrthogonalMatchingPursuitCV : Cross-validated Orthogonal Matching Pursuit model (OMP). Notes ----- Orthogonal matching pursuit was introduced in G. Mallat, Z. Zhang, Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, Vol. 41, No. 12. (December 1993), pp. 3397-3415. (http://blanche.polytechnique.fr/~mallat/papiers/MallatPursuit93.pdf) This implementation is based on Rubinstein, R., Zibulevsky, M. and Elad, M., Efficient Implementation of the K-SVD Algorithm using Batch Orthogonal Matching Pursuit Technical Report - CS Technion, April 2008. https://www.cs.technion.ac.il/~ronrubin/Publications/KSVD-OMP-v2.pdf Examples -------- >>> from sklearn.linear_model import OrthogonalMatchingPursuit >>> from sklearn.datasets import make_regression >>> X, y = make_regression(noise=4, random_state=0) >>> reg = OrthogonalMatchingPursuit(normalize=False).fit(X, y) >>> reg.score(X, y) 0.9991... >>> reg.predict(X[:1,]) array([-78.3854...]) NT deprecatedrcr8r9 fit_intercept normalizerZcCs"||_||_||_||_||_dSNr)selfr8r9rrrZrIrIrJ__init__s   z"OrthogonalMatchingPursuit.__init__c Cs0t|jd|jjd}|j||ddd\}}|jd}t||d|j||jdd\}}}}}}} |j dkr<|ddt j f}|j durQ|j durQttd|d|_n|j |_|durjt|||j|j dddd \} |_n!|j durxt j|d d d nd} t|| |j|j | dddd \} |_| j|_|||||S)aFit the model using X, y as training data. Parameters ---------- X : array-like of shape (n_samples, n_features) Training data. y : array-like of shape (n_samples,) or (n_samples, n_targets) Target values. Will be cast to X's dtype if necessary. Returns ------- self : object Returns an instance of self. Tdefaultestimator_name) multi_output y_numericrNr"r_F)r8r9rZr:r[r rrd)rRr8r9rfrTrUr[)r r __class____name___validate_datar,rrZrrgr#r}r8r9rirjn_nonzero_coefs_r{n_iter_rlrmr)coef__set_intercept) rr6r7 _normalize n_featuresX_offsety_offsetX_scalerQrRrnorms_sqrIrIrJfitsJ      zOrthogonalMatchingPursuit.fitr __module__ __qualname____doc__rrrIrIrIrJr~Osg r~dc Cs&|r|}|}|}|}|r<|jdd}||8}||8}|jdd} t|dd}|| 8}t|dd}|| 8}|r]ttj|ddd} t| } |dd| f| | <t|||ddddd} | jd krv| ddtj f} |r| | | | ddtj f<t | j |j |S) aCompute the residues on left-out data for a full LARS path. Parameters ---------- X_train : ndarray of shape (n_samples, n_features) The data to fit the LARS on. y_train : ndarray of shape (n_samples) The target variable to fit LARS on. X_test : ndarray of shape (n_samples, n_features) The data to compute the residues on. y_test : ndarray of shape (n_samples) The target variable to compute the residues on. copy : bool, default=True Whether X_train, X_test, y_train and y_test should be copied. If False, they may be overwritten. fit_intercept : bool, default=True Whether to calculate the intercept for this model. If set to false, no intercept will be used in calculations (i.e. data is expected to be centered). normalize : bool, default=True This parameter is ignored when ``fit_intercept`` is set to False. If True, the regressors X will be normalized before regression by subtracting the mean and dividing by the l2-norm. If you wish to standardize, please use :class:`~sklearn.preprocessing.StandardScaler` before calling ``fit`` on an estimator with ``normalize=False``. .. deprecated:: 1.0 ``normalize`` was deprecated in version 1.0. It will default to False in 1.2 and be removed in 1.4. max_iter : int, default=100 Maximum numbers of iterations to perform, therefore maximum features to include. 100 by default. Returns ------- residues : ndarray of shape (n_samples, max_features) Residues of the prediction on the test data. rrdFrr NT)r8r9rZr:r;r) r"meanr r#rrl flatnonzeror{rgr}r(r)) X_trainy_trainX_testy_testr"rrmax_iterX_meany_meannormsnonzerosrDrIrIrJ_omp_path_residuess@9      "rc@s2eZdZdZddddddddddZd d ZdS) OrthogonalMatchingPursuitCVaCross-validated Orthogonal Matching Pursuit model (OMP). See glossary entry for :term:`cross-validation estimator`. Read more in the :ref:`User Guide `. Parameters ---------- copy : bool, default=True Whether the design matrix X must be copied by the algorithm. A false value is only helpful if X is already Fortran-ordered, otherwise a copy is made anyway. fit_intercept : bool, default=True Whether to calculate the intercept for this model. If set to false, no intercept will be used in calculations (i.e. data is expected to be centered). normalize : bool, default=True This parameter is ignored when ``fit_intercept`` is set to False. If True, the regressors X will be normalized before regression by subtracting the mean and dividing by the l2-norm. If you wish to standardize, please use :class:`~sklearn.preprocessing.StandardScaler` before calling ``fit`` on an estimator with ``normalize=False``. .. deprecated:: 1.0 ``normalize`` was deprecated in version 1.0. It will default to False in 1.2 and be removed in 1.4. max_iter : int, default=None Maximum numbers of iterations to perform, therefore maximum features to include. 10% of ``n_features`` but at least 5 if available. cv : int, cross-validation generator or iterable, default=None Determines the cross-validation splitting strategy. Possible inputs for cv are: - None, to use the default 5-fold cross-validation, - integer, to specify the number of folds. - :term:`CV splitter`, - An iterable yielding (train, test) splits as arrays of indices. For integer/None inputs, :class:`KFold` is used. Refer :ref:`User Guide ` for the various cross-validation strategies that can be used here. .. versionchanged:: 0.22 ``cv`` default value if None changed from 3-fold to 5-fold. n_jobs : int, default=None Number of CPUs to use during the cross validation. ``None`` means 1 unless in a :obj:`joblib.parallel_backend` context. ``-1`` means using all processors. See :term:`Glossary ` for more details. verbose : bool or int, default=False Sets the verbosity amount. Attributes ---------- intercept_ : float or ndarray of shape (n_targets,) Independent term in decision function. coef_ : ndarray of shape (n_features,) or (n_targets, n_features) Parameter vector (w in the problem formulation). n_nonzero_coefs_ : int Estimated number of non-zero coefficients giving the best mean squared error over the cross-validation folds. n_iter_ : int or array-like Number of active features across every target for the model refit with the best hyperparameters got by cross-validating across all folds. n_features_in_ : int Number of features seen during :term:`fit`. .. versionadded:: 0.24 feature_names_in_ : ndarray of shape (`n_features_in_`,) Names of features seen during :term:`fit`. Defined only when `X` has feature names that are all strings. .. versionadded:: 1.0 See Also -------- orthogonal_mp : Solves n_targets Orthogonal Matching Pursuit problems. orthogonal_mp_gram : Solves n_targets Orthogonal Matching Pursuit problems using only the Gram matrix X.T * X and the product X.T * y. lars_path : Compute Least Angle Regression or Lasso path using LARS algorithm. Lars : Least Angle Regression model a.k.a. LAR. LassoLars : Lasso model fit with Least Angle Regression a.k.a. Lars. OrthogonalMatchingPursuit : Orthogonal Matching Pursuit model (OMP). LarsCV : Cross-validated Least Angle Regression model. LassoLarsCV : Cross-validated Lasso model fit with Least Angle Regression. sklearn.decomposition.sparse_encode : Generic sparse coding. Each column of the result is the solution to a Lasso problem. Notes ----- In `fit`, once the optimal number of non-zero coefficients is found through cross-validation, the model is fit again using the entire training set. Examples -------- >>> from sklearn.linear_model import OrthogonalMatchingPursuitCV >>> from sklearn.datasets import make_regression >>> X, y = make_regression(n_features=100, n_informative=10, ... noise=4, random_state=0) >>> reg = OrthogonalMatchingPursuitCV(cv=5, normalize=False).fit(X, y) >>> reg.score(X, y) 0.9991... >>> reg.n_nonzero_coefs_ 10 >>> reg.predict(X[:1,]) array([-78.3854...]) TrNFr"rrrcvn_jobsverbosecCs.||_||_||_||_||_||_||_dSrr)rr"rrrrrrrIrIrJrs  z$OrthogonalMatchingPursuitCV.__init__cs$tjdjjdjddd\tdddtjdd}js8t t t dj d d j d njt jjd fd d |D}t dd |Dtfdd|D}t|jddd }|_t|jd}||j_|j_|j_S)a~Fit the model using X, y as training data. Parameters ---------- X : array-like of shape (n_samples, n_features) Training data. y : array-like of shape (n_samples,) Target values. Will be cast to X's dtype if necessary. Returns ------- self : object Returns an instance of self. Trr )rensure_min_featuresF)r"force_all_finite) classifierr_r)rrc 3sB|]\}}tt||||jjVqdSr)rrr"r).0traintest)r6rrrr7rIrJ s  z2OrthogonalMatchingPursuitCV.fit..css|]}|jdVqdS)rN)r,rfoldrIrIrJrscs$g|]}|ddjddqS)Nr rrd)rr)min_early_stoprIrJ s$z3OrthogonalMatchingPursuitCV.fit..rrd)r8rr)r rrrrr rrrminrirjr,rrrsplitr#arrayargminrrr~rrr intercept_r)rr6r7rcv_paths mse_foldsbest_n_nonzero_coefsomprI)r6rrrrr7rJrs: &   zOrthogonalMatchingPursuitCV.fitrrIrIrIrJrcs| r)NTF)NNTTF)TTTr)"rr0mathrnumpyr#scipyrscipy.linalg.lapackrjoblibr_baserrr baser r utilsr r utils.fixesrmodel_selectionrr2rKrYr{rmr~rrrIrIrIrJs^       x  " ; _