FLA_Sylv_nn_blk_var11.c File Reference

(r)


Functions

FLA_Error FLA_Sylv_nn_blk_var11 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)

Function Documentation

FLA_Error FLA_Sylv_nn_blk_var11 ( FLA_Obj  isgn,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  C,
FLA_Obj  scale,
fla_sylv_t cntl 
)

References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().

Referenced by FLA_Sylv_nn().

00038 {
00039   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00040           ABL,   ABR,      A10, A11, A12,
00041                            A20, A21, A22;
00042 
00043   FLA_Obj BTL,   BTR,      B00, B01, B02, 
00044           BBL,   BBR,      B10, B11, B12,
00045                            B20, B21, B22;
00046 
00047   FLA_Obj CTL,   CTR,      C00, C01, C02, 
00048           CBL,   CBR,      C10, C11, C12,
00049                            C20, C21, C22;
00050 
00051   dim_t b;
00052 
00053   FLA_Part_2x2( A,    &ATL, &ATR,
00054                       &ABL, &ABR,     0, 0, FLA_BR );
00055 
00056   FLA_Part_2x2( B,    &BTL, &BTR,
00057                       &BBL, &BBR,     0, 0, FLA_TL );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BL );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTR, FLA_TR, FLA_Cntl_blocksize( cntl ) );
00065 
00066     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, &A01, /**/ &A02,
00067                                                 &A10, &A11, /**/ &A12,
00068                         /* ************* */   /* ******************** */
00069                            ABL, /**/ ABR,       &A20, &A21, /**/ &A22,
00070                            b, b, FLA_TL );
00071 
00072     FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, /**/ &B01, &B02,
00073                         /* ************* */   /* ******************** */
00074                                                 &B10, /**/ &B11, &B12,
00075                            BBL, /**/ BBR,       &B20, /**/ &B21, &B22,
00076                            b, b, FLA_BR );
00077 
00078     FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00, /**/ &C01, &C02,
00079                                                 &C10, /**/ &C11, &C12,
00080                         /* ************* */   /* ******************** */
00081                            CBL, /**/ CBR,       &C20, /**/ &C21, &C22,
00082                            b, b, FLA_TR );
00083 
00084     // Loop Invariant:
00085     // CTL = CTL - ATR * sylv( ABR, BTL, CBL )
00086     // CTR = CTR - ATR * sylv( ABR, BBR, CBR - sylv( ABR, BTL, CBL ) * BTR )
00087     // CBL = sylv( ABR, BTL, CBL )
00088     // CBR = sylv( ABR, BBR, CBR - sylv( ABR, BTL, CBL ) * BTR )
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C10 = sylv( A11, B00, C10 );
00093     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
00094                        isgn, A11, B00, C10, scale,
00095                        FLA_Cntl_sub_sylv1( cntl ) );
00096 
00097     // C00 = C00 - A01 * C10;
00098     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00099                        FLA_MINUS_ONE, A01, C10, FLA_ONE, C00,
00100                        FLA_Cntl_sub_gemm1( cntl ) );
00101 
00102     // C11 = sylv( A11, B11, C11 -/+ C10 * B01 );
00103     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00104                        FLA_NEGATE( isgn ), C10, B01, FLA_ONE, C11,
00105                        FLA_Cntl_sub_gemm2( cntl ) );
00106 
00107     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
00108                        isgn, A11, B11, C11, scale,
00109                        FLA_Cntl_sub_sylv2( cntl ) );
00110 
00111     // C01 = C01 - A01 * C11;
00112     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00113                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00114                        FLA_Cntl_sub_gemm3( cntl ) );
00115 
00116     // C12 = sylv( A11, B22, C12 -/+ C10 * B02 -/+ C11 * B12 );
00117     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00118                        FLA_NEGATE( isgn ), C11, B12, FLA_ONE, C12,
00119                        FLA_Cntl_sub_gemm4( cntl ) );
00120 
00121     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00122                        FLA_NEGATE( isgn ), C10, B02, FLA_ONE, C12,
00123                        FLA_Cntl_sub_gemm5( cntl ) );
00124 
00125     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE, 
00126                        isgn, A11, B22, C12, scale,
00127                        FLA_Cntl_sub_sylv3( cntl ) );
00128 
00129     // C02 = C02 - A01 * C12;
00130     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00131                        FLA_MINUS_ONE, A01, C12, FLA_ONE, C02,
00132                        FLA_Cntl_sub_gemm6( cntl ) );
00133 
00134     /*------------------------------------------------------------*/
00135 
00136     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00137                             /* ************** */  /* ****************** */
00138                                                      A10, /**/ A11, A12,
00139                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00140                               FLA_BR );
00141 
00142     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, B01, /**/ B02,
00143                                                      B10, B11, /**/ B12,
00144                             /* ************** */  /* ****************** */
00145                               &BBL, /**/ &BBR,       B20, B21, /**/ B22,
00146                               FLA_TL );
00147 
00148     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, C01, /**/ C02,
00149                             /* ************** */  /* ****************** */
00150                                                      C10, C11, /**/ C12,
00151                               &CBL, /**/ &CBR,       C20, C21, /**/ C22,
00152                               FLA_BL );
00153 
00154   }
00155 
00156   return FLA_SUCCESS;
00157 }


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