bi9 dZddlmZddlZddlZddlmZddlm Z ddl m Z ddl m Z ddlmZdd lmZdd lmZdd eeefd efd ZddZy)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. )UnionN)vec)norm1)norm_inf)normNuc)pnorm) sigma_max) Expressionpkeepdimsctj|}t|jDcgc]}|dkD c}}||jdk(r|dk(r*t j jt|dS|dk(s |dk(r|dk(rtt|ddS|dk(r t|S|dk(r t|S|tjd d fvr*t j jt|dStd |dk(s|j!rt||| St#|j%d k(rt'||| St#|j%dk(rtt|dd|St)|t"rtd |dt|||| Scc}w)aWrapper on the different norm atoms. Parameters ---------- x : Expression or numeric constant The value to take the norm of. If `x` is 2D and `axis` is None, this function constructs a matrix norm. p : int or str, optional The type of norm. Valid options include any positive integer, 'fro' (for frobenius), 'nuc' (sum of singular values), np.inf or 'inf' (infinity norm). axis : The axis along which to apply the norm, if any. keepdims: If this is set to True, the axes which are reduced are left in the result as dimensions with size one. Returns ------- Expression An Expression representing the norm. r)axisfroF)ordernucinfInfzUnsupported matrix norm.)rr zUnsupported norm option z for non-matrix.)r cast_to_constsumshapendimcvxpyatomsmaxrrrr rnpr RuntimeError is_scalarstrlowerr isinstance)xr rr dnum_nontrivial_idxss K/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/norm.pynormr(s*   #Aagg6q1u67 |! 6;;??5#34 4 %ZAF':a'?Qc*A. . !VQ<  %Z1:  2665%( (;;??5#34 49: : 6Q[[]9 9 V\\^u $AD8< < V\\^u $Qc*At4 4 3 !9!r9sK  &#)(#+31=uS#X1=1=h#r+