bi >dZddlmZddlZddlmZGddeZy)a, Copyright 2013 Steven Diamond Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. )TupleN) ElementwiseceZdZdZdZd fd ZejdZde e e ffdZ de fdZ de fdZ de fd Zde fd Zde fd Zd ZxZS)absz Elementwise absolute value Treturnc,tt| |y)N)superr__init__)selfx __class__s V/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/elementwise/abs.pyr z abs.__init__s c4!!$c2tj|dS)Nr)npabsolute)r valuess rnumericz abs.numeric s{{6!9%%rcy)zCReturns sign (is positive, is negative) of the expression. )TFr s rsign_from_argszabs.sign_from_args$srcy)zIs the atom convex? Trrs ris_atom_convexzabs.is_atom_convex*srcy)zIs the atom concave? Frrs ris_atom_concavezabs.is_atom_concave/src<|j|jS)z;Is the composition non-decreasing in argument idx? )args is_nonnegr idxs ris_incrz abs.is_incr4yy~''))rc<|j|jS)z;Is the composition non-increasing in argument idx? )r is_nonposr!s ris_decrz abs.is_decr9r$rc|jdjxr<|jdjxs|jdjS)z&Is the atom piecewise linear? r)ris_pwlis_realis_imagrs rr)z abs.is_pwl>sLyy|""$? YYq\ ! ! # =tyy|';';'= ?rc|jj}|j}tj|jj}||ddkDz }||ddkz}t j |||gS)a+Gives the (sub/super)gradient of the atom w.r.t. each argument. Matrix expressions are vectorized, so the gradient is a matrix. Args: values: A list of numeric values for the arguments. Returns: A list of SciPy CSC sparse matrices or None. r)exprsizerzerosshaperelemwise_grad_to_diag)r rrowscolsDs r_gradz abs._gradDslyy~~yy HHTYY__ % fQi!m fQi!m))!T4899r)rN)__name__ __module__ __qualname____doc___allow_complexr r numpy_numericrrboolrrrr#r'r)r5 __classcell__)rs@rrrs&N%&&dDj 1   *d* *d* ?? :rr)r9typingrnumpyr elementwiserrrrrrAs! $=:+=:r