biErdZddlmZmZddlZddlmZddlm Z ddl m Z ddlmZddlmZGddeZy) 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)linalg)Atom) ConstraintceZdZdZdfd ZdZddZdeedffdZ dee e ffdZ de fd Z de fd Z de fd Zde fd Zd ZdeefdZedefdZxZS)log_detz:math:`\log\det A` returnc,tt| |y)N)superr __init__)selfA __class__s N/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/log_det.pyr zlog_det.__init__!s gt%a(c|dtj|djzdz }tj|\}}tj tj |dr|Stj S)zReturns the logdet of PSD matrix A. For PSD matrix A, this is the sum of logs of eigenvalues of A and is equivalent to the nuclear norm of the matrix logarithm of A. r)npconjTLAslogdetiscloserealinf)rvaluessymmsignlogdets rnumericzlog_det.numeric$s`q BGGF1IKK00!3zz$' f ::bggdmQ 'MFF7Nrc|jd}t|jdk(r|jd|jdk7r tdy)Nrrrz3The argument to log_det must be a 2-d square array.)argslenshape TypeError)rXs rvalidate_argumentszlog_det.validate_arguments3sG IIaL177|q AGGAJ!''!*$<QR R%=r.ctS)z8Returns the (row, col) shape of the expression. )tuplers rshape_from_argszlog_det.shape_from_args8s wrcy)zCReturns sign (is positive, is negative) of the expression. )TFr,s rsign_from_argszlog_det.sign_from_args=srcy)zIs the atom convex? Fr/r,s ris_atom_convexzlog_det.is_atom_convexBrcy)zIs the atom concave? Tr/r,s ris_atom_concavezlog_det.is_atom_concaveGsrcy)z;Is the composition non-decreasing in argument idx? Fr/ridxs ris_incrzlog_det.is_incrLr3rcy)z;Is the composition non-increasing in argument idx? Fr/r7s ris_decrzlog_det.is_decrQr3rc |d}tj|}tj|dkDrZtjj |j }tj|jdgj gSdgS)a+Gives the (sub/super)gradient of the atom w.r.t. each argument. Matrix expressions are vectorized, so the gradient is a matrix. Args: values: A list of numeric values for the arguments. Returns: A list of SciPy CSC sparse matrices or None. rF)orderN) reigvalshrminrinvrsp csc_arrayravel)rrr( eigen_valDs r_gradz log_det._gradVsr 1IKKN 66) q  a ""ALL!'''"4!56889 96Mrc(|jddz gS)z?Returns constraints describing the domain of the node. r)r$r,s r_domainzlog_det._domainks ! !""rctj|jdj|jdjjj t jt js tdt|jDcgc]}|jduc}ry|jScc}w)Nr)rtolatolz)Input matrix was not Hermitian/symmetric.) rallcloser$valuerrs ATOM_EVAL_TOL ValueErrorany parameters _value_impl)rps rrNz log_det.valueps{{499Q<--99Q<--//446 ! !1HI I ):;A4; <!!rgs/ !3]"d]"r