bi0ZdZddlmZmZddlZddlmZddlm 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. )OptionalTupleN)Atom)AxisAtom)cvxtypesceZdZdZdZddeededdffd Ze jdZ d Z d Z deeeffd Zdefd Zdefd ZdefdZdefdZdefdZdefdZdefdZxZS)minz":math:`\min{i,j}\{X_{i,j}\}`. a The second argument to "min" was a cvxpy Expression, when it should have been an int or None. This is probably a result of calling "cp.min" when you should call "cp.minimum". The difference is that cp.min represents the minimum entry in a single vector or matrix, while cp.minimum represents the entry-wise min of a sequence of arguments that all have the same shape. Naxiskeepdimsreturnct|tjrttj t t||||y)Nr r ) isinstancer expression ValueErrorr __EXPR_AXIS_ERROR__super__init__)selfxr r __class__s J/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/min.pyrz min.__init__'s= dH//1 2S445 5 c4!!$!BcV|dj|j|jS)z)Returns the smallest entry in x. rr)r r r rvaluess rnumericz min.numeric,s#ay}}$))dmm}DDrc$|j|S)a+Gives the (sub/super)gradient of the atom w.r.t. each argument. Matrix expressions are vectorized, so the gradient is a matrix. Args: values: A list of numeric values for the arguments. Returns: A list of SciPy CSC sparse matrices or None. ) _axis_gradrs r_gradz min._grad2sv&&rctj|jd}tj|}tj|j df}d||<|S)a Gives the (sub/super)gradient of the atom w.r.t. a column argument. Matrix expressions are vectorized, so the gradient is a matrix. Args: value: A numeric value for a column. Returns: A NumPy ndarray or None. F)order)nparrayravelargminzerossize)rvalueidxDs r _column_gradzmin._column_grad?sQ%%C%0ii HHejj!_ %#rcv|jdj|jdjfS)zCReturns sign (is positive, is negative) of the expression. r)args is_nonneg is_nonposrs rsign_from_argszmin.sign_from_argsQs1 ! &&($))A,*@*@*BCCrcy)zIs the atom convex? Fr3s ris_atom_convexzmin.is_atom_convexWrcy)zIs the atom concave? Tr6r3s ris_atom_concavezmin.is_atom_concave\rcy)z$Is the atom log-log convex? Fr6r3s ris_atom_log_log_convexzmin.is_atom_log_log_convexar8rcy)z%Is the atom log-log concave? Tr6r3s ris_atom_log_log_concavezmin.is_atom_log_log_concavefr;rcy)z;Is the composition non-decreasing in argument idx? Tr6rr,s ris_incrz min.is_incrkr;rcy)z;Is the composition non-increasing in argument idx? Fr6rAs ris_decrz min.is_decrpr8rc<|jdjS)z&Is the atom piecewise linear? r)r0is_pwlr3s rrFz min.is_pwlusyy|""$$r)NF)__name__ __module__ __qualname____doc__rrintboolrr numpy_numericrr r.rr4r7r:r=r?rBrDrF __classcell__)rs@rr r sC CCQUC  EE '$DdDj 1D     d d %%rr ) rJtypingrrnumpyr%cvxpy.atoms.atomrcvxpy.atoms.axis_atomrcvxpy.expressionsrr r6rrrTs)#!*&_%(_%r