inline void TwoSidedTrsmUVar1 ( UnitOrNonUnit diag, DistMatrix<F>& A, const DistMatrix<F>& U ) { #ifndef RELEASE CallStackEntry entry("internal::TwoSidedTrsmUVar1"); if( A.Height() != A.Width() ) LogicError("A must be square"); if( U.Height() != U.Width() ) LogicError("Triangular matrices must be square"); if( A.Height() != U.Height() ) LogicError("A and U must be the same size"); #endif const Grid& g = A.Grid(); // Matrix views DistMatrix<F> ATL(g), ATR(g), A00(g), A01(g), A02(g), ABL(g), ABR(g), A10(g), A11(g), A12(g), A20(g), A21(g), A22(g); DistMatrix<F> UTL(g), UTR(g), U00(g), U01(g), U02(g), UBL(g), UBR(g), U10(g), U11(g), U12(g), U20(g), U21(g), U22(g); // Temporary distributions DistMatrix<F,STAR,STAR> A11_STAR_STAR(g); DistMatrix<F,VC, STAR> A01_VC_STAR(g); DistMatrix<F,STAR,STAR> U11_STAR_STAR(g); DistMatrix<F,MC, STAR> U01_MC_STAR(g); DistMatrix<F,VC, STAR> U01_VC_STAR(g); DistMatrix<F,VR, STAR> U01_VR_STAR(g); DistMatrix<F,STAR,MR > U01Adj_STAR_MR(g); DistMatrix<F,STAR,STAR> X11_STAR_STAR(g); DistMatrix<F,MR, MC > Z01_MR_MC(g); DistMatrix<F,MC, STAR> Z01_MC_STAR(g); DistMatrix<F,MR, STAR> Z01_MR_STAR(g); DistMatrix<F> Y01(g); PartitionDownDiagonal ( A, ATL, ATR, ABL, ABR, 0 ); LockedPartitionDownDiagonal ( U, UTL, UTR, UBL, UBR, 0 ); while( ATL.Height() < A.Height() ) { RepartitionDownDiagonal ( ATL, /**/ ATR, A00, /**/ A01, A02, /*************/ /******************/ /**/ A10, /**/ A11, A12, ABL, /**/ ABR, A20, /**/ A21, A22 ); LockedRepartitionDownDiagonal ( UTL, /**/ UTR, U00, /**/ U01, U02, /*************/ /******************/ /**/ U10, /**/ U11, U12, UBL, /**/ UBR, U20, /**/ U21, U22 ); A01_VC_STAR.AlignWith( A01 ); U01_MC_STAR.AlignWith( A00 ); U01_VR_STAR.AlignWith( A00 ); U01_VC_STAR.AlignWith( A00 ); U01Adj_STAR_MR.AlignWith( A00 ); Y01.AlignWith( A01 ); Z01_MR_MC.AlignWith( A01 ); Z01_MC_STAR.AlignWith( A00 ); Z01_MR_STAR.AlignWith( A00 ); //--------------------------------------------------------------------// // Y01 := A00 U01 U01_MC_STAR = U01; U01_VR_STAR = U01_MC_STAR; U01Adj_STAR_MR.AdjointFrom( U01_VR_STAR ); Zeros( Z01_MC_STAR, A01.Height(), A01.Width() ); Zeros( Z01_MR_STAR, A01.Height(), A01.Width() ); LocalSymmetricAccumulateLU ( ADJOINT, F(1), A00, U01_MC_STAR, U01Adj_STAR_MR, Z01_MC_STAR, Z01_MR_STAR ); Z01_MR_MC.SumScatterFrom( Z01_MR_STAR ); Y01 = Z01_MR_MC; Y01.SumScatterUpdate( F(1), Z01_MC_STAR ); // A01 := inv(U00)' A01 // // This is the bottleneck because A01 only has blocksize columns Trsm( LEFT, UPPER, ADJOINT, diag, F(1), U00, A01 ); // A01 := A01 - 1/2 Y01 Axpy( F(-1)/F(2), Y01, A01 ); // A11 := A11 - (U01' A01 + A01' U01) A01_VC_STAR = A01; U01_VC_STAR = U01_MC_STAR; Zeros( X11_STAR_STAR, A11.Height(), A11.Width() ); Her2k ( UPPER, ADJOINT, F(-1), A01_VC_STAR.Matrix(), U01_VC_STAR.Matrix(), F(0), X11_STAR_STAR.Matrix() ); A11.SumScatterUpdate( F(1), X11_STAR_STAR ); // A11 := inv(U11)' A11 inv(U11) A11_STAR_STAR = A11; U11_STAR_STAR = U11; LocalTwoSidedTrsm( UPPER, diag, A11_STAR_STAR, U11_STAR_STAR ); A11 = A11_STAR_STAR; // A01 := A01 - 1/2 Y01 Axpy( F(-1)/F(2), Y01, A01 ); // A01 := A01 inv(U11) A01_VC_STAR = A01; LocalTrsm ( RIGHT, UPPER, NORMAL, diag, F(1), U11_STAR_STAR, A01_VC_STAR ); A01 = A01_VC_STAR; //--------------------------------------------------------------------// SlidePartitionDownDiagonal ( ATL, /**/ ATR, A00, A01, /**/ A02, /**/ A10, A11, /**/ A12, /*************/ /******************/ ABL, /**/ ABR, A20, A21, /**/ A22 ); SlideLockedPartitionDownDiagonal ( UTL, /**/ UTR, U00, U01, /**/ U02, /**/ U10, U11, /**/ U12, /*************/ /******************/ UBL, /**/ UBR, U20, U21, /**/ U22 ); } }
inline void internal::HegstRLVar3( DistMatrix<F,MC,MR>& A, const DistMatrix<F,MC,MR>& L ) { #ifndef RELEASE PushCallStack("internal::HegstRLVar4"); if( A.Height() != A.Width() ) throw std::logic_error("A must be square"); if( L.Height() != L.Width() ) throw std::logic_error("Triangular matrices must be square"); if( A.Height() != L.Height() ) throw std::logic_error("A and L must be the same size"); #endif const Grid& g = A.Grid(); // Matrix views DistMatrix<F,MC,MR> ATL(g), ATR(g), A00(g), A01(g), A02(g), ABL(g), ABR(g), A10(g), A11(g), A12(g), A20(g), A21(g), A22(g); DistMatrix<F,MC,MR> YTL(g), YTR(g), Y00(g), Y01(g), Y02(g), YBL(g), YBR(g), Y10(g), Y11(g), Y12(g), Y20(g), Y21(g), Y22(g); DistMatrix<F,MC,MR> LTL(g), LTR(g), L00(g), L01(g), L02(g), LBL(g), LBR(g), L10(g), L11(g), L12(g), L20(g), L21(g), L22(g); // Temporary distributions DistMatrix<F,STAR,MR > A11_STAR_MR(g); DistMatrix<F,STAR,STAR> A11_STAR_STAR(g); DistMatrix<F,VC, STAR> A21_VC_STAR(g); DistMatrix<F,STAR,VR > A10_STAR_VR(g); DistMatrix<F,STAR,MR > A10_STAR_MR(g); DistMatrix<F,STAR,STAR> L11_STAR_STAR(g); DistMatrix<F,STAR,VR > L10_STAR_VR(g); DistMatrix<F,STAR,MR > L10_STAR_MR(g); DistMatrix<F,MC, STAR> L21_MC_STAR(g); DistMatrix<F,STAR,STAR> X11_STAR_STAR(g); DistMatrix<F,MC, STAR> X21_MC_STAR(g); DistMatrix<F,MC, STAR> Z21_MC_STAR(g); // We will use an entire extra matrix as temporary storage. If this is not // acceptable, use HegstRLVar4 instead. DistMatrix<F,MC,MR> Y(g); Y.AlignWith( A ); Y.ResizeTo( A.Height(), A.Width() ); Zero( Y ); PartitionDownDiagonal ( A, ATL, ATR, ABL, ABR, 0 ); PartitionDownDiagonal ( Y, YTL, YTR, YBL, YBR, 0 ); LockedPartitionDownDiagonal ( L, LTL, LTR, LBL, LBR, 0 ); while( ATL.Height() < A.Height() ) { RepartitionDownDiagonal ( ATL, /**/ ATR, A00, /**/ A01, A02, /*************/ /******************/ /**/ A10, /**/ A11, A12, ABL, /**/ ABR, A20, /**/ A21, A22 ); RepartitionDownDiagonal ( YTL, /**/ YTR, Y00, /**/ Y01, Y02, /*************/ /******************/ /**/ Y10, /**/ Y11, Y12, YBL, /**/ YBR, Y20, /**/ Y21, Y22 ); LockedRepartitionDownDiagonal ( LTL, /**/ LTR, L00, /**/ L01, L02, /*************/ /******************/ /**/ L10, /**/ L11, L12, LBL, /**/ LBR, L20, /**/ L21, L22 ); A11_STAR_MR.AlignWith( Y21 ); A21_VC_STAR.AlignWith( A21 ); A10_STAR_VR.AlignWith( A10 ); A10_STAR_MR.AlignWith( A10 ); L10_STAR_VR.AlignWith( A10 ); L10_STAR_MR.AlignWith( A10 ); L21_MC_STAR.AlignWith( Y21 ); X21_MC_STAR.AlignWith( A20 ); Z21_MC_STAR.AlignWith( L20 ); //--------------------------------------------------------------------// // A10 := A10 - 1/2 Y10 Axpy( (F)-0.5, Y10, A10 ); // A11 := A11 - (A10 L10' + L10 A10') A10_STAR_VR = A10; L10_STAR_VR = L10; X11_STAR_STAR.ResizeTo( A11.Height(), A11.Width() ); Her2k ( LOWER, NORMAL, (F)1, A10_STAR_VR.LocalMatrix(), L10_STAR_VR.LocalMatrix(), (F)0, X11_STAR_STAR.LocalMatrix() ); MakeTrapezoidal( LEFT, LOWER, 0, X11_STAR_STAR ); A11.SumScatterUpdate( (F)-1, X11_STAR_STAR ); // A11 := inv(L11) A11 inv(L11)' A11_STAR_STAR = A11; L11_STAR_STAR = L11; internal::LocalHegst( RIGHT, LOWER, A11_STAR_STAR, L11_STAR_STAR ); A11 = A11_STAR_STAR; // A21 := A21 - A20 L10' L10_STAR_MR = L10_STAR_VR; X21_MC_STAR.ResizeTo( A21.Height(), A21.Width() ); internal::LocalGemm ( NORMAL, ADJOINT, (F)1, A20, L10_STAR_MR, (F)0, X21_MC_STAR ); A21.SumScatterUpdate( (F)-1, X21_MC_STAR ); // A21 := A21 inv(L11)' A21_VC_STAR = A21; internal::LocalTrsm ( RIGHT, LOWER, ADJOINT, NON_UNIT, (F)1, L11_STAR_STAR, A21_VC_STAR ); A21 = A21_VC_STAR; // A10 := A10 - 1/2 Y10 Axpy( (F)-0.5, Y10, A10 ); // A10 := inv(L11) A10 A10_STAR_VR = A10; internal::LocalTrsm ( LEFT, LOWER, NORMAL, NON_UNIT, (F)1, L11_STAR_STAR, A10_STAR_VR ); // Y20 := Y20 + L21 A10 A10_STAR_MR = A10_STAR_VR; A10 = A10_STAR_MR; L21_MC_STAR = L21; internal::LocalGemm ( NORMAL, NORMAL, (F)1, L21_MC_STAR, A10_STAR_MR, (F)1, Y20 ); // Y21 := L21 A11 // // Symmetrize A11[* ,* ] by copying the lower triangle into the upper // so that we can call a local gemm instead of worrying about // reproducing a hemm with nonsymmetric local matrices. { const int height = A11_STAR_STAR.LocalHeight(); const int ldim = A11_STAR_STAR.LocalLDim(); F* A11Buffer = A11_STAR_STAR.LocalBuffer(); for( int i=1; i<height; ++i ) for( int j=0; j<i; ++j ) A11Buffer[j+i*ldim] = Conj(A11Buffer[i+j*ldim]); } A11_STAR_MR = A11_STAR_STAR; internal::LocalGemm ( NORMAL, NORMAL, (F)1, L21_MC_STAR, A11_STAR_MR, (F)0, Y21 ); // Y21 := Y21 + L20 A10' Z21_MC_STAR.ResizeTo( A21.Height(), A21.Width() ); internal::LocalGemm ( NORMAL, ADJOINT, (F)1, L20, A10_STAR_MR, (F)0, Z21_MC_STAR ); Y21.SumScatterUpdate( (F)1, Z21_MC_STAR ); //--------------------------------------------------------------------// A11_STAR_MR.FreeAlignments(); A21_VC_STAR.FreeAlignments(); A10_STAR_VR.FreeAlignments(); A10_STAR_MR.FreeAlignments(); L10_STAR_VR.FreeAlignments(); L10_STAR_MR.FreeAlignments(); L21_MC_STAR.FreeAlignments(); X21_MC_STAR.FreeAlignments(); Z21_MC_STAR.FreeAlignments(); SlidePartitionDownDiagonal ( ATL, /**/ ATR, A00, A01, /**/ A02, /**/ A10, A11, /**/ A12, /*************/ /******************/ ABL, /**/ ABR, A20, A21, /**/ A22 ); SlidePartitionDownDiagonal ( YTL, /**/ YTR, Y00, Y01, /**/ Y02, /**/ Y10, Y11, /**/ Y12, /*************/ /******************/ YBL, /**/ YBR, Y20, Y21, /**/ Y22 ); SlideLockedPartitionDownDiagonal ( LTL, /**/ LTR, L00, L01, /**/ L02, /**/ L10, L11, /**/ L12, /**********************************/ LBL, /**/ LBR, L20, L21, /**/ L22 ); } #ifndef RELEASE PopCallStack(); #endif }
inline void TwoSidedTrmmUVar5 ( UnitOrNonUnit diag, DistMatrix<F>& A, const DistMatrix<F>& U ) { #ifndef RELEASE PushCallStack("internal::TwoSidedTrmmUVar5"); if( A.Height() != A.Width() ) throw std::logic_error("A must be square"); if( U.Height() != U.Width() ) throw std::logic_error("Triangular matrices must be square"); if( A.Height() != U.Height() ) throw std::logic_error("A and U must be the same size"); #endif const Grid& g = A.Grid(); // Matrix views DistMatrix<F> ATL(g), ATR(g), A00(g), A01(g), A02(g), ABL(g), ABR(g), A10(g), A11(g), A12(g), A20(g), A21(g), A22(g); DistMatrix<F> UTL(g), UTR(g), U00(g), U01(g), U02(g), UBL(g), UBR(g), U10(g), U11(g), U12(g), U20(g), U21(g), U22(g); // Temporary distributions DistMatrix<F,STAR,STAR> A11_STAR_STAR(g); DistMatrix<F,MC, STAR> A01_MC_STAR(g); DistMatrix<F,MR, STAR> A01_MR_STAR(g); DistMatrix<F,VC, STAR> A01_VC_STAR(g); DistMatrix<F,STAR,STAR> U11_STAR_STAR(g); DistMatrix<F,MC, STAR> U01_MC_STAR(g); DistMatrix<F,MR, STAR> U01_MR_STAR(g); DistMatrix<F,VC, STAR> U01_VC_STAR(g); DistMatrix<F,VC, STAR> Y01_VC_STAR(g); DistMatrix<F> Y01(g); PartitionDownDiagonal ( A, ATL, ATR, ABL, ABR, 0 ); LockedPartitionDownDiagonal ( U, UTL, UTR, UBL, UBR, 0 ); while( ATL.Height() < A.Height() ) { RepartitionDownDiagonal ( ATL, /**/ ATR, A00, /**/ A01, A02, /*************/ /******************/ /**/ A10, /**/ A11, A12, ABL, /**/ ABR, A20, /**/ A21, A22 ); LockedRepartitionDownDiagonal ( UTL, /**/ UTR, U00, /**/ U01, U02, /*************/ /******************/ /**/ U10, /**/ U11, U12, UBL, /**/ UBR, U20, /**/ U21, U22 ); A01_MC_STAR.AlignWith( A00 ); A01_MR_STAR.AlignWith( A00 ); A01_VC_STAR.AlignWith( A00 ); U01_MC_STAR.AlignWith( A00 ); U01_MR_STAR.AlignWith( A00 ); U01_VC_STAR.AlignWith( A00 ); Y01.AlignWith( A01 ); Y01_VC_STAR.AlignWith( A01 ); //--------------------------------------------------------------------// // Y01 := U01 A11 A11_STAR_STAR = A11; U01_VC_STAR = U01; Y01_VC_STAR.ResizeTo( A01.Height(), A01.Width() ); Hemm ( RIGHT, UPPER, F(1), A11_STAR_STAR.LocalMatrix(), U01_VC_STAR.LocalMatrix(), F(0), Y01_VC_STAR.LocalMatrix() ); Y01 = Y01_VC_STAR; // A01 := U00 A01 Trmm( LEFT, UPPER, NORMAL, diag, F(1), U00, A01 ); // A01 := A01 + 1/2 Y01 Axpy( F(1)/F(2), Y01, A01 ); // A00 := A00 + (U01 A01' + A01 U01') A01_MC_STAR = A01; U01_MC_STAR = U01; A01_VC_STAR = A01_MC_STAR; A01_MR_STAR = A01_VC_STAR; U01_MR_STAR = U01_MC_STAR; LocalTrr2k ( UPPER, ADJOINT, ADJOINT, F(1), U01_MC_STAR, A01_MR_STAR, A01_MC_STAR, U01_MR_STAR, F(1), A00 ); // A01 := A01 + 1/2 Y01 Axpy( F(1)/F(2), Y01_VC_STAR, A01_VC_STAR ); // A01 := A01 U11' U11_STAR_STAR = U11; LocalTrmm ( RIGHT, UPPER, ADJOINT, diag, F(1), U11_STAR_STAR, A01_VC_STAR ); A01 = A01_VC_STAR; // A11 := U11 A11 U11' LocalTwoSidedTrmm( UPPER, diag, A11_STAR_STAR, U11_STAR_STAR ); A11 = A11_STAR_STAR; //--------------------------------------------------------------------// A01_MC_STAR.FreeAlignments(); A01_MR_STAR.FreeAlignments(); A01_VC_STAR.FreeAlignments(); U01_MC_STAR.FreeAlignments(); U01_MR_STAR.FreeAlignments(); U01_VC_STAR.FreeAlignments(); Y01.FreeAlignments(); Y01_VC_STAR.FreeAlignments(); SlidePartitionDownDiagonal ( ATL, /**/ ATR, A00, A01, /**/ A02, /**/ A10, A11, /**/ A12, /*************/ /******************/ ABL, /**/ ABR, A20, A21, /**/ A22 ); SlideLockedPartitionDownDiagonal ( UTL, /**/ UTR, U00, U01, /**/ U02, /**/ U10, U11, /**/ U12, /*************/ /******************/ UBL, /**/ UBR, U20, U21, /**/ U22 ); } #ifndef RELEASE PopCallStack(); #endif }
inline void TwoSidedTrsmUVar2 ( UnitOrNonUnit diag, DistMatrix<F>& A, const DistMatrix<F>& U ) { #ifndef RELEASE CallStackEntry entry("internal::TwoSidedTrsmUVar2"); if( A.Height() != A.Width() ) LogicError("A must be square"); if( U.Height() != U.Width() ) LogicError("Triangular matrices must be square"); if( A.Height() != U.Height() ) LogicError("A and U must be the same size"); #endif const Grid& g = A.Grid(); // Matrix views DistMatrix<F> ATL(g), ATR(g), A00(g), A01(g), A02(g), ABL(g), ABR(g), A10(g), A11(g), A12(g), A20(g), A21(g), A22(g); DistMatrix<F> UTL(g), UTR(g), U00(g), U01(g), U02(g), UBL(g), UBR(g), U10(g), U11(g), U12(g), U20(g), U21(g), U22(g); // Temporary distributions DistMatrix<F,MC, STAR> A01_MC_STAR(g); DistMatrix<F,VC, STAR> A01_VC_STAR(g); DistMatrix<F,STAR,STAR> A11_STAR_STAR(g); DistMatrix<F,STAR,VR > A12_STAR_VR(g); DistMatrix<F,MC, STAR> F01_MC_STAR(g); DistMatrix<F,MC, STAR> U01_MC_STAR(g); DistMatrix<F,VR, STAR> U01_VR_STAR(g); DistMatrix<F,STAR,MR > U01Adj_STAR_MR(g); DistMatrix<F,STAR,STAR> U11_STAR_STAR(g); DistMatrix<F,STAR,MR > X11_STAR_MR(g); DistMatrix<F,MR, STAR> X12Adj_MR_STAR(g); DistMatrix<F,MR, MC > X12Adj_MR_MC(g); DistMatrix<F,MR, MC > Y01_MR_MC(g); DistMatrix<F,MR, STAR> Y01_MR_STAR(g); DistMatrix<F> X11(g); DistMatrix<F> Y01(g); Matrix<F> X12Local; PartitionDownDiagonal ( A, ATL, ATR, ABL, ABR, 0 ); LockedPartitionDownDiagonal ( U, UTL, UTR, UBL, UBR, 0 ); while( ATL.Height() < A.Height() ) { RepartitionDownDiagonal ( ATL, /**/ ATR, A00, /**/ A01, A02, /*************/ /******************/ /**/ A10, /**/ A11, A12, ABL, /**/ ABR, A20, /**/ A21, A22 ); LockedRepartitionDownDiagonal ( UTL, /**/ UTR, U00, /**/ U01, U02, /*************/ /******************/ /**/ U10, /**/ U11, U12, UBL, /**/ UBR, U20, /**/ U21, U22 ); A01_MC_STAR.AlignWith( U01 ); Y01.AlignWith( A01 ); Y01_MR_STAR.AlignWith( A00 ); U01_MC_STAR.AlignWith( A00 ); U01_VR_STAR.AlignWith( A00 ); U01Adj_STAR_MR.AlignWith( A00 ); X11_STAR_MR.AlignWith( U01 ); X11.AlignWith( A11 ); X12Adj_MR_STAR.AlignWith( A02 ); X12Adj_MR_MC.AlignWith( A12 ); F01_MC_STAR.AlignWith( A00 ); //--------------------------------------------------------------------// // Y01 := A00 U01 U01_MC_STAR = U01; U01_VR_STAR = U01_MC_STAR; U01Adj_STAR_MR.AdjointFrom( U01_VR_STAR ); Zeros( Y01_MR_STAR, A01.Height(), A01.Width() ); Zeros( F01_MC_STAR, A01.Height(), A01.Width() ); LocalSymmetricAccumulateLU ( ADJOINT, F(1), A00, U01_MC_STAR, U01Adj_STAR_MR, F01_MC_STAR, Y01_MR_STAR ); Y01_MR_MC.SumScatterFrom( Y01_MR_STAR ); Y01 = Y01_MR_MC; Y01.SumScatterUpdate( F(1), F01_MC_STAR ); // X11 := U01' A01 LocalGemm( ADJOINT, NORMAL, F(1), U01_MC_STAR, A01, X11_STAR_MR ); // A01 := A01 - Y01 Axpy( F(-1), Y01, A01 ); A01_MC_STAR = A01; // A11 := A11 - triu(X11 + A01' U01) = A11 - (U01 A01 + A01' U01) LocalGemm( ADJOINT, NORMAL, F(1), A01_MC_STAR, U01, F(1), X11_STAR_MR ); X11.SumScatterFrom( X11_STAR_MR ); MakeTriangular( UPPER, X11 ); Axpy( F(-1), X11, A11 ); // A01 := A01 inv(U11) U11_STAR_STAR = U11; A01_VC_STAR = A01_MC_STAR; LocalTrsm ( RIGHT, UPPER, NORMAL, diag, F(1), U11_STAR_STAR, A01_VC_STAR ); A01 = A01_VC_STAR; // A11 := inv(U11)' A11 inv(U11) A11_STAR_STAR = A11; LocalTwoSidedTrsm( UPPER, diag, A11_STAR_STAR, U11_STAR_STAR ); A11 = A11_STAR_STAR; // A12 := A12 - A02' U01 LocalGemm( ADJOINT, NORMAL, F(1), A02, U01_MC_STAR, X12Adj_MR_STAR ); X12Adj_MR_MC.SumScatterFrom( X12Adj_MR_STAR ); Adjoint( X12Adj_MR_MC.LockedMatrix(), X12Local ); Axpy( F(-1), X12Local, A12.Matrix() ); // A12 := inv(U11)' A12 A12_STAR_VR = A12; LocalTrsm ( LEFT, UPPER, ADJOINT, diag, F(1), U11_STAR_STAR, A12_STAR_VR ); A12 = A12_STAR_VR; //--------------------------------------------------------------------// SlidePartitionDownDiagonal ( ATL, /**/ ATR, A00, A01, /**/ A02, /**/ A10, A11, /**/ A12, /*************/ /******************/ ABL, /**/ ABR, A20, A21, /**/ A22 ); SlideLockedPartitionDownDiagonal ( UTL, /**/ UTR, U00, U01, /**/ U02, /**/ U10, U11, /**/ U12, /*************/ /******************/ UBL, /**/ UBR, U20, U21, /**/ U22 ); } }