biJdZddlmZddlmZddlmZddlmZddl m Z dZ 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. )reshape)sum)vstack)norm) Expressionc tj|}|jdk(r td|jdk(r%t |dd|d|j ddz z dS|jdk(r|j \}}t tj|}|gt|z}g}|D]E}||d|dz d|f|d|dz d|dz fz |d|d|dz f|d|dz d|dz fz gz }G|dj d|dj dz}t|Dcgc]}t|d|fdc}} tt | ddStd cc}w) aTotal variation of a vector, matrix, or list of matrices. Uses L1 norm of discrete gradients for vectors and L2 norm of discrete gradients for matrices. Parameters ---------- value : Expression or numeric constant The value to take the total variation of. args : Matrix constants/expressions Additional matrices extending the third dimension of value. Returns ------- Expression An Expression representing the total variation. rz!tv cannot take a scalar argument.NF)order)paxisz8tv cannot have input arrays with more than 2 dimensions.) r cast_to_constndim ValueErrorrshapemaplistrrr) valueargsrowscolsvaluesdiffsmatlengthdiffstackeds V/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/total_variation.pytvr s$  $ $U +E zzQ<== qE!"Ia Aq(8 991== q[[ d:++T24:% C Ad1fHaf$%Ad1fHaQh,>(??AdFAd1fH$%Ad1fHaQh,>(?? E  q"58>>!#44ERD'$F 3?RS411-..STTSs%E%N) __doc__cvxpy.atoms.affine.reshapercvxpy.atoms.affine.sumrcvxpy.atoms.affine.vstackrcvxpy.atoms.normrcvxpy.expressions.expressionrr rr)s! /&,!3'Ur(