bi ZdZddlmZmZddlZddlmZddl m Z ddl m Z Gdde Z y)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. )ListTupleN)AxisAtom) ConstraintceZdZdZdZdeeeffdZdefdZdefdZ defdZ defdZ defd Z d Z defd Zdeefd Zd ZdZy)norm1Tc|j'tj|dj}ntj|d}tjj |d|j|j S)z#Returns the one norm of x. r)axiskeepdims)r nparrayflattenlinalgnormr selfvaluess L/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/norm1.pynumericz norm1.numerics^ 99 XXfQi(002FXXfQi(Fyy~~fadii$--~PPreturncy)zCReturns sign (is positive, is negative) of the expression. )TFrs rsign_from_argsznorm1.sign_from_args%srcy)zIs the atom convex? Trrs ris_atom_convexznorm1.is_atom_convex+srcy)zIs the atom concave? Frrs ris_atom_concaveznorm1.is_atom_concave0src<|jdjS)z;Is the composition non-decreasing in argument idx? r)args is_nonnegridxs ris_incrz norm1.is_incr5yy|%%''rc<|jdjS)z;Is the composition non-increasing in argument idx? r)r" is_nonposr$s ris_decrz norm1.is_decr:r'rc|jdjxr<|jdjxs|jdjS)z&Is the atom piecewise linear? r)r"is_pwlis_realis_imagrs rr,z norm1.is_pwl?sLyy|""$? YYq\ ! ! # =tyy|';';'= ?rc|jgS)N)r rs rget_dataznorm1.get_dataEs {rcp|jjd|jdjdS)N(r)) __class____name__r"namers rr6z norm1.nameHs->>2299Q<,,.0 0rcgS)z?Returns constraints describing the domain of the node. rrs r_domainz norm1._domainLs  rc$|j|S)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. ) _axis_gradrs r_gradz norm1._gradQsv&&rc|j}tj|dfd}|j|df}||dkDz }||dkz}|S)aGives the (sub/super)gradient of the atom w.r.t. a column argument. Matrix expressions are vectorized, so the gradient is a matrix. Args: value: A numeric value for a column. Returns: A NumPy ndarray matrix or None. r float64)dtyper)sizesp csc_arrayreshape)rvaluerowsD_nulls r _column_gradznorm1._column_grad^sTzztQiy9 tQi(519519 rN)r5 __module__ __qualname___allow_complexrrboolrrr r&r*r,r0strr6rrr8r;rFrrrrrsNQdDj 1   (d( (d( ?? 0c0j) 'rr)__doc__typingrrnumpyr scipy.sparsesparser@cvxpy.atoms.axis_atomrcvxpy.constraints.constraintrrrrrrSs)*3UHUr