bi* ,dZddlZddlZddlmZddlmZ eje jeje jeje jej e jiZeejZeejZeej ZdZdZdZdZdZd Zd efd Zd Zd efd Zd efdZdZ dZ!ddedefdZ"dZ#dZ$dde%d efdZ&dZ'd efdZ(d efdZ)d ded efdZ*d efdZ+y)!a, Copyright 2013 Steven Diamond Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. N)numpy_interfacect|SN) INTERFACES) target_classs [/home/cdr/jupyterlab/.venv/lib/python3.12/site-packages/cvxpy/interface/matrix_utilities.pyget_matrix_interfacer &s l ##c:ddlmcmcm}|j S)z.Dynamic import of CVXOPT dense interface. rN)3cvxpy.interface.cvxopt_interface.valuerix_interface interfacecvxopt_interfacevaluerix_interfaceDenseMatrixInterface)dmis rget_cvxopt_dense_intfr*sFE  # # %%r c:ddlmcmcm}|j S)z/Dynamic import of CVXOPT sparse interface. rN)8cvxpy.interface.cvxopt_interface.sparse_matrix_interfacer rsparse_matrix_interfaceSparseArrayInterface)smis rget_cvxopt_sparse_intfr1sKJ  # # %%r cddl}t|tjtjfr1|j |j |j ddStj|rx|j}|j|jj|jj|jj|jdSy)zConverts a SciPy sparse matrix to a CVXOPT sparse matrix. Parameters ---------- sparse_mat : SciPy sparse matrix The matrix to convert. Returns ------- CVXOPT spmatrix The converted matrix. rNfloat64dtc)sizer)cvxopt isinstancenpndarraymatrixsparseastypespissparsetocoospmatrixdatatolistrowcolshapevaluers r sparse2cvxoptr1:s%"**bii01}}V]]5<< +BC}LL U  uzz002EII4D4D4F$yy//1 M M r c0ddl}|j|dS)zConverts a NumPy matrix to a CVXOPT matrix. Parameters ---------- value : NumPy matrix/ndarray The matrix to convert. Returns ------- CVXOPT matrix The converted matrix. rNrr)rr#r/s r dense2cvxoptr3Qs ==3= ''r c,tj|S)zConverts a CVXOPT matrix to a NumPy ndarray. Parameters ---------- value : CVXOPT matrix The matrix to convert. Returns ------- NumPy ndarray The converted matrix. )r!array)r0s r cvxopt2denser6bs 88E?r returnc,tj|S)z%Is the constant a sparse matrix? )r&r'constants r is_sparser;rs ;;x  r c.t|tjstj|r t St|t rQt|dk(ryt|dtjr t|fSt|dt|fS|jtvr"t|jj|St|r&ttjj|Stdt|z)Nr)r,%s is not a valid type for a Constant value.)r numbersNumberr!isscalartuplelistlen __class__rr.r;r& csc_array TypeErrortyper9s rr.r.zs(GNN+r{{8/Dw Hd # x=A   W^^ 4M# # $c(m4 4   z )(,,-33H== 8 ",,'--h77FhWXXr c$t|ddk(S)Nr.r9s r is_vectorrKs ?1  ""r ct|dk(S)N)rIrIrJr9s r is_scalarrMs ?f $$r ct|tjr+|jdk(rtj|dddfS|S)z/Convert 2D Numpy matrices or arrays to 1D. Nr)r r!r"ndimasarrayr9s r from_2D_to_1DrRs:(BJJ'HMMQ,>zz(#AqD))r ct|tjr.|jdk(rtj|j S|S)z)Convert 1D Numpy arrays to matrices. rI)r r!r"rPasmatrixTr9s r from_1D_to_2DrVs7(BJJ'HMMQ,>{{8$&&&r r$convert_scalarsct|ttjtjfrt j ||S|rtj ||S|S)z!Convert to appropriate type. )rW)r rBr!r"r# DEFAULT_INTFconst_to_matrixDEFAULT_SPARSE_INTF)r:r$rWs rconvertr\se(T2::ryy9:++Hr?r!r@rBrDr scalar_valuer;r&rEtocscrFrGr9s rr^r^s(GNN+r{{8/D Hd #{   z )(,,-::8DD 8 ",,'44X^^5EFFFhWXXr cLt|tjr|}|}n|tj|r!|j }|j }nFttjj|}|j }|j }|dk\|dkfS)zReturn (is positive, is negative). Parameters ---------- constant : numeric type The numeric value to evaluate the sign of. Returns ------- tuple The sign of the constant. r) r r>r?r&r'maxminrr!r"rZ)r:max_valmin_valmats rsignrfs(GNN+ X ,,.,,.$44X>'')'') qL'Q, ''r tolctj|}|syt|tjrQtj tj |}tj tj|}ntj|r[tj |j j}tj |jj}nttjj|}tj |j j}tj |jj}||k\||k\fS)a#Return (is real, is imaginary). Parameters ---------- constant : numeric type The numeric value to evaluate the sign of. tol : float, optional The largest magnitude considered nonzero. Returns ------- tuple The sign of the constant. )TF)r! iscomplexobjr r>r?absrealimagr&r'rarr"rZ)r:rg complex_typereal_maximag_maxs r is_complexrps??8,L (GNN+66"''(+,66"''(+, X 66(--(,,.66(--(,,.bjj)99(C66(--(,,.66(--(,,. OX_ --r ct|r|S|jtvr#t|jj||St |r:tt j }|j|}|j||Syr)rMrDrindexr;r&rErZ)r:keyr s rrrrrsw   z )(,,-33HcBB 8 r||, ,,X6x-- r ctj|}|r_d}tj|rt |d}||fStj |tj |j}||fStj|rt |d}n tj ||j}|}||fS)z5Check if a matrix is Hermitian and/or symmetric. FT)complex)r!rir&r'is_sparse_symmetricallcloseconjrU)r:rmis_symmis_herms r is_hermitianr{s??8,L ;;x )(DAG G kk(BGGHJJ,?@G G  ;;x )(EBGkk(HJJ7G G r ctj|}|rytj|r t |}|Stj ||j zd}|S)zIs the Fg)r!rir&r'is_sparse_skew_symmetricrwrU)r:rm is_skew_symms ris_skew_symmetricr+sU??8,L ;;x 3H=L;;x(**')F),__doc__r>numpyr! scipy.sparser$r&cvxpy.interfacernp_intfr"NDArrayInterfacer#MatrixInterface csc_matrixrrErDEFAULT_NP_INTFrYr[r rrr1r3r6boolr;r.rKrMrRrVr\r^rffloatrprrr{rrvr}r rrsd 6jj2'224ii0002mm9W99;ll8G88: RZZ("**%  .$&&M.("  !4!Y*#4# %4% d T  Y (4.e.t.B .d4 4 -D-T-`'4'r