biFdZddlmZddlZddlZddlmZGddeZ 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. )TupleN) ElementwiseceZdZdZddeddffd ZfdZejde fdZ de e e ffdZ de fd Zde fd Zde fd Zde fd Zde fd Zde fdZdZdfd ZdZxZS)huberaThe Huber function .. math:: \operatorname{Huber}(x, M) = \begin{cases} 2M|x|-M^2 & \text{for } |x| \geq |M| \\ |x|^2 & \text{for } |x| \leq |M|. \end{cases} :math:`M` defaults to 1. Parameters ---------- x : Expression The expression to which the huber function will be applied. M : Constant or Parameter A scalar constant. MreturnNcX|j||_tt||y)N) cast_to_constrsuperr__init__)selfxr __class__s X/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/atoms/elementwise/huber.pyr zhuber.__init__0s$##A& eT#A&cVt||jjzS)z9If M is a Parameter, include it in the list of Parameters)r parametersrr rs rrzhuber.parameters4s#w!#dff&7&7&999rcvdtjj|jj|dzS)z4Returns the huber function applied elementwise to x.r)scipyspecialrrvalue)r valuess rnumericz huber.numeric8s,5==&&tvv||VAY???rcy)z:Returns sign (is positive, is negative) of the expression.)TFr s rsign_from_argszhuber.sign_from_args=srcy)zIs the atom convex?Trrs ris_atom_convexzhuber.is_atom_convexBrcy)zIs the atom concave?Frrs ris_atom_concavezhuber.is_atom_concaveFsrc<|j|jS)z2Is the composition non-decreasing in argument idx?)args is_nonnegr idxs ris_incrz huber.is_incrJyy~''))rc<|j|jS)z2Is the composition non-increasing in argument idx?)r& is_nonposr(s ris_decrz huber.is_decrNr+rc<|jdjS)zQuadratic if x is affine.r)r& is_affiners r is_quadraticzhuber.is_quadraticRsyy|%%''rcy)z"Always generates a quadratic term.Trrs rhas_quadratic_termzhuber.has_quadratic_termVr"rc|jgS)zReturns the parameter M.)rrs rget_datazhuber.get_dataZs xrc|jjr4|jjr|jjs t dt t |y)z2Checks that M >= 0 and is a constant or Parameter.z6M must be a non-negative scalar constant or Parameter.N)rr' is_scalar is_constant ValueErrorr rvalidate_argumentsrs rr:zhuber.validate_arguments^sJ  "tvv'7'7'9dff>P>P>RUV V eT-/rcZ|jdj}|j}tjtj|d|j j }dtjtj|d|z}tj|||gS)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. rr) r&sizenpminimumabsrrmultiplysignrelemwise_grad_to_diag)r rrowscolsmin_val grad_valss r_gradz huber._graddsyy|  yy**RVVF1I. = BGGF1I$6@@ ++ItTBCCr))rN)__name__ __module__ __qualname____doc__intr rr numpy_numericfloatrrboolrr!r$r*r.r1r3r5r:rG __classcell__)rs@rrrs('S'':@@@dDj 1 *d**d*(d(D0 Drr) rLtypingrnumpyr= scipy.specialr#cvxpy.atoms.elementwise.elementwiserrrrrrVs( ; XDKXDr