+ irv^RIHt^RIHt^RIHt^RIHt^RIH t H t H t !RR]4t !RR ]4t R #) )S)_sympify)KroneckerDelta) MatrixExpr) ZeroMatrixIdentity OneMatrixcaa]tRt^ toRtV3Rlt]R4t]R4tRt Rt Rt Rt ] ;t tR tR tR tVtV;t#) PermutationMatrixa)A Permutation Matrix Parameters ========== perm : Permutation The permutation the matrix uses. The size of the permutation determines the matrix size. See the documentation of :class:`sympy.combinatorics.permutations.Permutation` for the further information of how to create a permutation object. Examples ======== >>> from sympy import Matrix, PermutationMatrix >>> from sympy.combinatorics import Permutation Creating a permutation matrix: >>> p = Permutation(1, 2, 0) >>> P = PermutationMatrix(p) >>> P = P.as_explicit() >>> P Matrix([ [0, 1, 0], [0, 0, 1], [1, 0, 0]]) Permuting a matrix row and column: >>> M = Matrix([0, 1, 2]) >>> Matrix(P*M) Matrix([ [1], [2], [0]]) >>> Matrix(M.T*P) Matrix([[2, 0, 1]]) See Also ======== sympy.combinatorics.permutations.Permutation c<^RIHp\V4p\W4'g\ RP V44h\ SV`W4#)r Permutationz({} must be a SymPy Permutation instance.) sympy.combinatorics.permutationsrr isinstance ValueErrorformatsuper__new__)clspermr __class__s&& چ/Users/tonyclaw/.openclaw/workspace/skills/math-calculator/venv/lib/python3.14/site-packages/sympy/matrices/expressions/permutation.pyrPermutationMatrix.__new__;sH@~$,,:AA$GI Iws))cBVP^,PpW3#r)argssize)selfrs& rshapePermutationMatrix.shapeEsyy|  |rc<VP^,P#r)r is_Identityrs&rr#PermutationMatrix.is_IdentityJsyy|'''rc TVP'd\VP4#V#)N)r#rrows)rhintss&,rdoitPermutationMatrix.doitNs"    DII& & rc ^VP^,p\VPV4V4#r)rrapply)rijkwargsrs&&&, r_entryPermutationMatrix._entrySs$yy|djjmQ//rcd\VP^,V,4P4#r)r rr))rexps&&r _eval_powerPermutationMatrix._eval_powerWs# 1!45::<p V Uu.uF pVV, NK ppVPV4V \ V 4, p K@ VV , pV!V4p\V4pVPV4Kz V!V!#uupi)rr )BlockDiagMatrixFT) rr blockmatrixrDrfull_cyclic_formlenmaxappendr )rrr/rrDrrF cycles_picksabcflagcyclelmtempppick new_cyclesr- new_cyclemats&*, r _eval_rewrite_as_BlockDiagMatrix2PermutationMatrix._eval_rewrite_as_BlockDiagMatrixgs@0yy|00 Qa%EE AE Aq515=D!7DAA ''0FA51u ) E*$++D1$aC E*1u ) E*$++D1$aC E*C&H  DJA,12EqQUUE 2!!),SZ FAz*D#D)C KK !%%3sG2)__name__ __module__ __qualname____firstlineno____doc__rpropertyr r#r)r0r4r9_eval_transpose _eval_adjointrArX__static_attributes____classdictcell__ __classcell__r __classdict__s@@rr r sg/b*(( 0=5'43Om">&>&rr cvaa]tRt^toRt]P 3V3RlltRRlt] R4t Rt Rt Rt VtV;t#) MatrixPermuteaSymbolic representation for permuting matrix rows or columns. Parameters ========== perm : Permutation, PermutationMatrix The permutation to use for permuting the matrix. The permutation can be resized to the suitable one, axis : 0 or 1 The axis to permute alongside. If `0`, it will permute the matrix rows. If `1`, it will permute the matrix columns. Notes ===== This follows the same notation used in :meth:`sympy.matrices.matrixbase.MatrixBase.permute`. Examples ======== >>> from sympy import Matrix, MatrixPermute >>> from sympy.combinatorics import Permutation Permuting the matrix rows: >>> p = Permutation(1, 2, 0) >>> A = Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) >>> B = MatrixPermute(A, p, axis=0) >>> B.as_explicit() Matrix([ [4, 5, 6], [7, 8, 9], [1, 2, 3]]) Permuting the matrix columns: >>> B = MatrixPermute(A, p, axis=1) >>> B.as_explicit() Matrix([ [2, 3, 1], [5, 6, 4], [8, 9, 7]]) See Also ======== sympy.matrices.matrixbase.MatrixBase.permute cT<^RIHp\V4pVP'g\ RP V44h\V4p\ V\4'dVP^,p\ W$4'g\ RP V44h\V4pVR9d \ R4hVPV,pWRP8wdVPV4p\SV`5WW#4# \d\ RP Y!T44hi;i)rr z#{} must be a SymPy matrix instance.z>{} must be a SymPy Permutation or a PermutationMatrix instancezThe axis must be 0 or 1.zsSize does not match between the permutation {} and the matrix {} threaded over the axis {} and cannot be converted.)r)rrr is_Matrixrrrr rr rresizerr)rrWraxisrmat_sizers&&&& rrMatrixPermute.__new__s@sm}}}5<rs4'*44\& \&~G