FLA_Sylv_nt.h File Reference

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Functions

FLA_Error FLA_Sylv_nt_blk_var1 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var2 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var3 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var4 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var5 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var6 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var7 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var8 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var9 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var10 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var11 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var12 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var13 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var14 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var15 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var16 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var17 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
FLA_Error FLA_Sylv_nt_blk_var18 (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_nt_blk_var1 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C12 = sylv( A11, B22', C12 - A12 * C22 );
00093     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00094                        FLA_MINUS_ONE, A12, C22, FLA_ONE, C12,
00095                        FLA_Cntl_sub_gemm1( cntl ) );
00096 
00097     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00098                        isgn, A11, B22, C12, scale,
00099                        FLA_Cntl_sub_sylv1( cntl ) );
00100 
00101     // C21 = sylv( A22, B11', C21 -/+ C22 * B12' );
00102     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00103                        FLA_NEGATE( isgn ), C22, B12, FLA_ONE, C21,
00104                        FLA_Cntl_sub_gemm2( cntl ) );
00105 
00106     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00107                        isgn, A22, B11, C21, scale,
00108                        FLA_Cntl_sub_sylv2( cntl ) );
00109 
00110     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00111     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00112                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00113                        FLA_Cntl_sub_gemm3( cntl ) );
00114 
00115     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00116                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00117                        FLA_Cntl_sub_gemm4( cntl ) );
00118 
00119     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00120                        isgn, A11, B11, C11, scale,
00121                        FLA_Cntl_sub_sylv3( cntl ) );
00122 
00123     /*------------------------------------------------------------*/
00124 
00125     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00126                             /* ************** */  /* ****************** */
00127                                                      A10, /**/ A11, A12,
00128                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00129                               FLA_BR );
00130 
00131     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00132                             /* ************** */  /* ****************** */
00133                                                      B10, /**/ B11, B12,
00134                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00135                               FLA_BR );
00136 
00137     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00138                             /* ************** */  /* ****************** */
00139                                                      C10, /**/ C11, C12,
00140                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00141                               FLA_BR );
00142 
00143   }
00144 
00145   return FLA_SUCCESS;
00146 }

FLA_Error FLA_Sylv_nt_blk_var10 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C21 = sylv( A22, B11', C21 );
00093     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00094                        isgn, A22, B11, C21, scale,
00095                        FLA_Cntl_sub_sylv1( cntl ) );
00096 
00097     // C11 = sylv( A11, B11', C11 - A12 * C21 );
00098     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00099                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00100                        FLA_Cntl_sub_gemm1( cntl ) );
00101 
00102     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00103                        isgn, A11, B11, C11, scale,
00104                        FLA_Cntl_sub_sylv2( cntl ) );
00105 
00106     // C01 = sylv( A00, B11', C01 - A01 * C11 - A02 * C21 );
00107     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00108                        FLA_MINUS_ONE, A02, C21, FLA_ONE, C01,
00109                        FLA_Cntl_sub_gemm2( cntl ) );
00110 
00111     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00112                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00113                        FLA_Cntl_sub_gemm3( cntl ) );
00114 
00115     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00116                        isgn, A00, B11, C01, scale,
00117                        FLA_Cntl_sub_sylv3( cntl ) );
00118 
00119     // C00 = C00 -/+ C01 * B01';
00120     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00121                        FLA_NEGATE( isgn ), C01, B01, FLA_ONE, C00,
00122                        FLA_Cntl_sub_gemm4( cntl ) );
00123 
00124     // C10 = C10 -/+ C11 * B01';
00125     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00126                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00127                        FLA_Cntl_sub_gemm5( cntl ) );
00128 
00129     // C20 = C20 -/+ C21 * B01';
00130     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00131                        FLA_NEGATE( isgn ), C21, B01, FLA_ONE, C20,
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                             /* ************** */  /* ****************** */
00144                                                      B10, /**/ B11, B12,
00145                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00146                               FLA_BR );
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_BR );
00153 
00154   }
00155 
00156   return FLA_SUCCESS;
00157 }

FLA_Error FLA_Sylv_nt_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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C12 = sylv( A11, B22', C12 );
00093     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00094                        isgn, A11, B22, C12, scale,
00095                        FLA_Cntl_sub_sylv1( cntl ) );
00096 
00097     // C02 = C02 - A01 * C12;
00098     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00099                        FLA_MINUS_ONE, A01, C12, FLA_ONE, C02,
00100                        FLA_Cntl_sub_gemm1( cntl ) );
00101 
00102     // C11 = sylv( A11, B11', C11 -/+ C12 * B12' );
00103     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00104                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00105                        FLA_Cntl_sub_gemm2( cntl ) );
00106 
00107     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_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     // C10 = sylv( A11, B00', C10 -/+ C12 * B02' -/+ C11 * B01' );
00117     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00118                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00119                        FLA_Cntl_sub_gemm4( cntl ) );
00120 
00121     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00122                        FLA_NEGATE( isgn ), C12, B02, FLA_ONE, C10,
00123                        FLA_Cntl_sub_gemm5( cntl ) );
00124 
00125     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00126                        isgn, A11, B00, C10, scale,
00127                        FLA_Cntl_sub_sylv3( cntl ) );
00128 
00129     // C00 = C00 - A01 * C10;
00130     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00131                        FLA_MINUS_ONE, A01, C10, FLA_ONE, C00,
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                             /* ************** */  /* ****************** */
00144                                                      B10, /**/ B11, B12,
00145                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00146                               FLA_BR );
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_BR );
00153 
00154   }
00155 
00156   return FLA_SUCCESS;
00157 }

FLA_Error FLA_Sylv_nt_blk_var12 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C11 = sylv( A11, B11', C11 - A12 * C21 );
00093     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00094                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00095                        FLA_Cntl_sub_gemm1( cntl ) );
00096 
00097     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00098                        isgn, A11, B11, C11, scale,
00099                        FLA_Cntl_sub_sylv1( cntl ) );
00100 
00101     // C01 = sylv( A00, B11', C01 - A01 * C11 - A02 * C21 );
00102     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00103                        FLA_MINUS_ONE, A02, C21, FLA_ONE, C01,
00104                        FLA_Cntl_sub_gemm2( cntl ) );
00105 
00106     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00107                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00108                        FLA_Cntl_sub_gemm3( cntl ) );
00109 
00110     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00111                        isgn, A00, B11, C01, scale,
00112                        FLA_Cntl_sub_sylv2( cntl ) );
00113 
00114     // C00 = C00 -/+ C01 * B01';
00115     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00116                        FLA_NEGATE( isgn ), C01, B01, FLA_ONE, C00,
00117                        FLA_Cntl_sub_gemm4( cntl ) );
00118 
00119     // C10 = sylv( A11, B00', C10 - A12 * C20 -/+ C11 * B01' );
00120     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00121                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00122                        FLA_Cntl_sub_gemm5( cntl ) );
00123 
00124     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00125                        FLA_MINUS_ONE, A12, C20, FLA_ONE, C10,
00126                        FLA_Cntl_sub_gemm6( cntl ) );
00127 
00128     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00129                        isgn, A11, B00, C10, scale,
00130                        FLA_Cntl_sub_sylv3( cntl ) );
00131 
00132     /*------------------------------------------------------------*/
00133 
00134     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00135                             /* ************** */  /* ****************** */
00136                                                      A10, /**/ A11, A12,
00137                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00138                               FLA_BR );
00139 
00140     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00141                             /* ************** */  /* ****************** */
00142                                                      B10, /**/ B11, B12,
00143                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00144                               FLA_BR );
00145 
00146     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00147                             /* ************** */  /* ****************** */
00148                                                      C10, /**/ C11, C12,
00149                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00150                               FLA_BR );
00151 
00152   }
00153 
00154   return FLA_SUCCESS;
00155 }

FLA_Error FLA_Sylv_nt_blk_var13 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C11 = sylv( A11, B11', C11 -/+ C12 * B12' );
00093     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00094                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00095                        FLA_Cntl_sub_gemm1( cntl ) );
00096 
00097     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00098                        isgn, A11, B11, C11, scale,
00099                        FLA_Cntl_sub_sylv1( cntl ) );
00100 
00101     // C01 = sylv( A00, B11', C01 - A01 * C11 -/+ C02 * B12' );
00102     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00103                        FLA_NEGATE( isgn ), C02, B12, FLA_ONE, C01,
00104                        FLA_Cntl_sub_gemm2( cntl ) );
00105 
00106     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00107                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00108                        FLA_Cntl_sub_gemm3( cntl ) );
00109 
00110     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00111                        isgn, A00, B11, C01, scale,
00112                        FLA_Cntl_sub_sylv2( cntl ) );
00113 
00114     // C10 = sylv( A11, B00', C10 -/+ C12 * B02' -/+ C11 * B01' );
00115     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00116                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00117                        FLA_Cntl_sub_gemm4( cntl ) );
00118 
00119     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00120                        FLA_NEGATE( isgn ), C12, B02, FLA_ONE, C10,
00121                        FLA_Cntl_sub_gemm5( cntl ) );
00122 
00123     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00124                        isgn, A11, B00, C10, scale,
00125                        FLA_Cntl_sub_sylv3( cntl ) );
00126 
00127     // C00 = C00 - A01 * C10;
00128     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00129                        FLA_MINUS_ONE, A01, C10, FLA_ONE, C00,
00130                        FLA_Cntl_sub_gemm6( cntl ) );
00131 
00132     /*------------------------------------------------------------*/
00133 
00134     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00135                             /* ************** */  /* ****************** */
00136                                                      A10, /**/ A11, A12,
00137                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00138                               FLA_BR );
00139 
00140     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00141                             /* ************** */  /* ****************** */
00142                                                      B10, /**/ B11, B12,
00143                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00144                               FLA_BR );
00145 
00146     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00147                             /* ************** */  /* ****************** */
00148                                                      C10, /**/ C11, C12,
00149                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00150                               FLA_BR );
00151 
00152   }
00153 
00154   return FLA_SUCCESS;
00155 }

FLA_Error FLA_Sylv_nt_blk_var14 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C11 = sylv( A11, B11', C11 );
00093     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00094                        isgn, A11, B11, C11, scale,
00095                        FLA_Cntl_sub_sylv1( cntl ) );
00096 
00097     // C01 = sylv( A00, B11', C01 - A01 * C11 );
00098     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00099                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00100                        FLA_Cntl_sub_gemm1( cntl ) );
00101 
00102     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00103                        isgn, A00, B11, C01, scale,
00104                        FLA_Cntl_sub_sylv2( cntl ) );
00105 
00106     // C10 = sylv( A11, B00', C10 -/+ C11 * B01' );
00107     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00108                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00109                        FLA_Cntl_sub_gemm2( cntl ) );
00110 
00111     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00112                        isgn, A11, B00, C10, scale,
00113                        FLA_Cntl_sub_sylv3( cntl ) );
00114 
00115     // C00 = C00 - A01 * C10 -/+ C01 * B01';
00116     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00117                        FLA_NEGATE( isgn ), C01, B01, FLA_ONE, C00,
00118                        FLA_Cntl_sub_gemm3( cntl ) );
00119 
00120     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00121                        FLA_MINUS_ONE, A01, C10, FLA_ONE, C00,
00122                        FLA_Cntl_sub_gemm4( cntl ) );
00123 
00124     /*------------------------------------------------------------*/
00125 
00126     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00127                             /* ************** */  /* ****************** */
00128                                                      A10, /**/ A11, A12,
00129                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00130                               FLA_BR );
00131 
00132     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00133                             /* ************** */  /* ****************** */
00134                                                      B10, /**/ B11, B12,
00135                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00136                               FLA_BR );
00137 
00138     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00139                             /* ************** */  /* ****************** */
00140                                                      C10, /**/ C11, C12,
00141                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00142                               FLA_BR );
00143 
00144   }
00145 
00146   return FLA_SUCCESS;
00147 }

FLA_Error FLA_Sylv_nt_blk_var15 ( FLA_Obj  isgn,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  C,
FLA_Obj  scale,
fla_sylv_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().

Referenced by FLA_Sylv_nt().

00036 {
00037   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00038           ABL,   ABR,      A10, A11, A12,
00039                            A20, A21, A22;
00040 
00041   FLA_Obj CT,              C0,
00042           CB,              C1,
00043                            C2;
00044 
00045   dim_t b;
00046 
00047   FLA_Part_2x2( A,    &ATL, &ATR,
00048                       &ABL, &ABR,     0, 0, FLA_BR );
00049 
00050   FLA_Part_2x1( C,    &CT, 
00051                       &CB,            0, FLA_BOTTOM );
00052 
00053   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00054 
00055     b = FLA_Determine_blocksize( CT, FLA_TOP, FLA_Cntl_blocksize( cntl ) );
00056 
00057     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, &A01, /**/ &A02,
00058                                                 &A10, &A11, /**/ &A12,
00059                         /* ************* */   /* ******************** */
00060                            ABL, /**/ ABR,       &A20, &A21, /**/ &A22,
00061                            b, b, FLA_TL );
00062 
00063     FLA_Repart_2x1_to_3x1( CT,                &C0, 
00064                                               &C1, 
00065                         /* ** */            /* ** */
00066                            CB,                &C2,        b, FLA_TOP );
00067 
00068     // Loop Invariant:
00069     // CT = CT
00070     // CB = sylv( ABR, B', CB )
00071 
00072     /*------------------------------------------------------------*/
00073 
00074     // C1 = sylv( A11, B', C1 - A12 * C2 );
00075     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00076                        FLA_MINUS_ONE, A12, C2, FLA_ONE, C1,
00077                        FLA_Cntl_sub_gemm1( cntl ) );
00078 
00079     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00080                        isgn, A11, B, C1, scale,
00081                        FLA_Cntl_sub_sylv1( cntl ) );
00082 
00083     /*------------------------------------------------------------*/
00084 
00085     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00086                             /* ************** */  /* ****************** */
00087                                                      A10, /**/ A11, A12,
00088                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00089                               FLA_BR );
00090 
00091     FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
00092                             /* ** */           /* ** */
00093                                                   C1, 
00094                               &CB,                C2,     FLA_BOTTOM );
00095 
00096   }
00097 
00098   return FLA_SUCCESS;
00099 }

FLA_Error FLA_Sylv_nt_blk_var16 ( FLA_Obj  isgn,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  C,
FLA_Obj  scale,
fla_sylv_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().

Referenced by FLA_Sylv_nt().

00038 {
00039   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00040           ABL,   ABR,      A10, A11, A12,
00041                            A20, A21, A22;
00042 
00043   FLA_Obj CT,              C0,
00044           CB,              C1,
00045                            C2;
00046 
00047   dim_t b;
00048 
00049   FLA_Part_2x2( A,    &ATL, &ATR,
00050                       &ABL, &ABR,     0, 0, FLA_BR );
00051 
00052   FLA_Part_2x1( C,    &CT, 
00053                       &CB,            0, FLA_BOTTOM );
00054 
00055   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00056 
00057     b = FLA_Determine_blocksize( CT, FLA_TOP, FLA_Cntl_blocksize( cntl ) );
00058 
00059     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, &A01, /**/ &A02,
00060                                                 &A10, &A11, /**/ &A12,
00061                         /* ************* */   /* ******************** */
00062                            ABL, /**/ ABR,       &A20, &A21, /**/ &A22,
00063                            b, b, FLA_TL );
00064 
00065     FLA_Repart_2x1_to_3x1( CT,                &C0, 
00066                                               &C1, 
00067                         /* ** */            /* ** */
00068                            CB,                &C2,        b, FLA_TOP );
00069 
00070     // Loop Invariant:
00071     // CT = CT - ATR * sylv( ABR, B', CB )
00072     // CB = sylv( ABR, B', CB )
00073 
00074     /*------------------------------------------------------------*/
00075 
00076     // C1 = sylv( A11, B', C1 );
00077     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00078                        isgn, A11, B, C1, scale,
00079                        FLA_Cntl_sub_sylv1( cntl ) );
00080 
00081     // C0 = C0 - A01 * C1;
00082     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00083                        FLA_MINUS_ONE, A01, C1, FLA_ONE, C0,
00084                        FLA_Cntl_sub_gemm1( cntl ) );
00085 
00086     /*------------------------------------------------------------*/
00087 
00088     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00089                             /* ************** */  /* ****************** */
00090                                                      A10, /**/ A11, A12,
00091                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00092                               FLA_BR );
00093 
00094     FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
00095                             /* ** */           /* ** */
00096                                                   C1, 
00097                               &CB,                C2,     FLA_BOTTOM );
00098 
00099   }
00100 
00101   return FLA_SUCCESS;
00102 }

FLA_Error FLA_Sylv_nt_blk_var17 ( FLA_Obj  isgn,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  C,
FLA_Obj  scale,
fla_sylv_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().

Referenced by FLA_Sylv_nt().

00036 {
00037   FLA_Obj BTL,   BTR,      B00, B01, B02, 
00038           BBL,   BBR,      B10, B11, B12,
00039                            B20, B21, B22;
00040 
00041   FLA_Obj CL,    CR,       C0,  C1,  C2;
00042 
00043   dim_t b;
00044 
00045   FLA_Part_2x2( B,    &BTL, &BTR,
00046                       &BBL, &BBR,     0, 0, FLA_BR );
00047 
00048   FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_RIGHT );
00049 
00050   while ( FLA_Obj_length( BBR ) < FLA_Obj_length( B ) ){
00051 
00052     b = FLA_Determine_blocksize( CL, FLA_LEFT, FLA_Cntl_blocksize( cntl ) );
00053 
00054     FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, &B01, /**/ &B02,
00055                                                 &B10, &B11, /**/ &B12,
00056                         /* ************* */   /* ******************** */
00057                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00058                            b, b, FLA_TL );
00059 
00060     FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, &C1, /**/ &C2,
00061                            b, FLA_LEFT );
00062 
00063     // Loop Invariant:
00064     // CL = 
00065     // CR = 
00066 
00067     /*------------------------------------------------------------*/
00068 
00069     // C1 = sylv( A, B11', C1 -/+ C2 * B12' );
00070     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00071                        FLA_NEGATE( isgn ), C2, B12, FLA_ONE, C1,
00072                        FLA_Cntl_sub_gemm1( cntl ) );
00073 
00074     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00075                        isgn, A, B11, C1, scale,
00076                        FLA_Cntl_sub_sylv1( cntl ) );
00077 
00078     /*------------------------------------------------------------*/
00079 
00080     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00081                             /* ************** */  /* ****************** */
00082                                                      B10, /**/ B11, B12,
00083                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00084                               FLA_BR );
00085 
00086     FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, /**/ C1, C2,
00087                               FLA_RIGHT );
00088   }
00089 
00090   return FLA_SUCCESS;
00091 }

FLA_Error FLA_Sylv_nt_blk_var18 ( FLA_Obj  isgn,
FLA_Obj  A,
FLA_Obj  B,
FLA_Obj  C,
FLA_Obj  scale,
fla_sylv_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Obj_length(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().

Referenced by FLA_Sylv_nt().

00036 {
00037   FLA_Obj BTL,   BTR,      B00, B01, B02, 
00038           BBL,   BBR,      B10, B11, B12,
00039                            B20, B21, B22;
00040 
00041   FLA_Obj CL,    CR,       C0,  C1,  C2;
00042 
00043   dim_t b;
00044 
00045   FLA_Part_2x2( B,    &BTL, &BTR,
00046                       &BBL, &BBR,     0, 0, FLA_BR );
00047 
00048   FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_RIGHT );
00049 
00050   while ( FLA_Obj_length( BBR ) < FLA_Obj_length( B ) ){
00051 
00052     b = FLA_Determine_blocksize( CL, FLA_LEFT, FLA_Cntl_blocksize( cntl ) );
00053 
00054     FLA_Repart_2x2_to_3x3( BTL, /**/ BTR,       &B00, &B01, /**/ &B02,
00055                                                 &B10, &B11, /**/ &B12,
00056                         /* ************* */   /* ******************** */
00057                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00058                            b, b, FLA_TL );
00059 
00060     FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, &C1, /**/ &C2,
00061                            b, FLA_LEFT );
00062 
00063     // Loop Invariant:
00064     // CL = 
00065     // CR = 
00066 
00067     /*------------------------------------------------------------*/
00068 
00069     // C1 = sylv( A, B11', C1 );
00070     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00071                        isgn, A, B11, C1, scale,
00072                        FLA_Cntl_sub_sylv1( cntl ) );
00073 
00074     // C0 = C0 -/+ C1 * B01';
00075     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00076                        FLA_NEGATE( isgn ), C1, B01, FLA_ONE, C0,
00077                        FLA_Cntl_sub_gemm1( cntl ) );
00078 
00079     /*------------------------------------------------------------*/
00080 
00081     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00082                             /* ************** */  /* ****************** */
00083                                                      B10, /**/ B11, B12,
00084                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00085                               FLA_BR );
00086 
00087     FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, /**/ C1, C2,
00088                               FLA_RIGHT );
00089   }
00090 
00091   return FLA_SUCCESS;
00092 }

FLA_Error FLA_Sylv_nt_blk_var2 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C12 = sylv( A11, B22', C12 );
00093     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00094                        isgn, A11, B22, C12, scale,
00095                        FLA_Cntl_sub_sylv1( cntl ) );
00096 
00097     // C02 = C02 - A01 * C12;
00098     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00099                        FLA_MINUS_ONE, A01, C12, FLA_ONE, C02,
00100                        FLA_Cntl_sub_gemm1( cntl ) );
00101 
00102     // C21 = sylv( A22, B11', C21 -/+ C22 * B12' );
00103     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00104                        FLA_NEGATE( isgn ), C22, B12, FLA_ONE, C21,
00105                        FLA_Cntl_sub_gemm2( cntl ) );
00106 
00107     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00108                        isgn, A22, B11, C21, scale,
00109                        FLA_Cntl_sub_sylv2( cntl ) );
00110 
00111     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00112     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00113                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00114                        FLA_Cntl_sub_gemm3( cntl ) );
00115 
00116     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00117                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00118                        FLA_Cntl_sub_gemm4( cntl ) );
00119 
00120     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00121                        isgn, A11, B11, C11, scale,
00122                        FLA_Cntl_sub_sylv3( cntl ) );
00123 
00124     // C01 = C01 - A01 * C11 - A02 * C21;
00125     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00126                        FLA_MINUS_ONE, A02, C21, FLA_ONE, C01,
00127                        FLA_Cntl_sub_gemm5( cntl ) );
00128 
00129     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00130                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00131                        FLA_Cntl_sub_gemm6( cntl ) );
00132 
00133     /*------------------------------------------------------------*/
00134 
00135     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00136                             /* ************** */  /* ****************** */
00137                                                      A10, /**/ A11, A12,
00138                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00139                               FLA_BR );
00140 
00141     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00142                             /* ************** */  /* ****************** */
00143                                                      B10, /**/ B11, B12,
00144                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00145                               FLA_BR );
00146 
00147     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00148                             /* ************** */  /* ****************** */
00149                                                      C10, /**/ C11, C12,
00150                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00151                               FLA_BR );
00152 
00153   }
00154 
00155   return FLA_SUCCESS;
00156 }

FLA_Error FLA_Sylv_nt_blk_var3 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C21 = sylv( A22, B11', C21 -/+ C22 * B12' );
00093     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00094                        FLA_NEGATE( isgn ), C22, B12, FLA_ONE, C21,
00095                        FLA_Cntl_sub_gemm1( cntl ) );
00096 
00097     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00098                        isgn, A22, B11, C21, scale,
00099                        FLA_Cntl_sub_sylv1( cntl ) );
00100 
00101     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00102     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00103                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00104                        FLA_Cntl_sub_gemm2( cntl ) );
00105 
00106     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00107                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00108                        FLA_Cntl_sub_gemm3( cntl ) );
00109 
00110     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00111                        isgn, A11, B11, C11, scale,
00112                        FLA_Cntl_sub_sylv2( cntl ) );
00113 
00114     // C01 = sylv( A00, B11', C01 - A01 * C11 - A02 * C21 -/+ C02 * B12' );
00115     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00116                        FLA_NEGATE( isgn ), C02, B12, FLA_ONE, C01,
00117                        FLA_Cntl_sub_gemm4( cntl ) );
00118 
00119     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00120                        FLA_MINUS_ONE, A02, C21, FLA_ONE, C01,
00121                        FLA_Cntl_sub_gemm5( cntl ) );
00122 
00123     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00124                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00125                        FLA_Cntl_sub_gemm6( cntl ) );
00126 
00127     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00128                        isgn, A00, B11, C01, scale,
00129                        FLA_Cntl_sub_sylv3( cntl ) );
00130 
00131     /*------------------------------------------------------------*/
00132 
00133     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00134                             /* ************** */  /* ****************** */
00135                                                      A10, /**/ A11, A12,
00136                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00137                               FLA_BR );
00138 
00139     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00140                             /* ************** */  /* ****************** */
00141                                                      B10, /**/ B11, B12,
00142                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00143                               FLA_BR );
00144 
00145     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00146                             /* ************** */  /* ****************** */
00147                                                      C10, /**/ C11, C12,
00148                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00149                               FLA_BR );
00150 
00151   }
00152 
00153   return FLA_SUCCESS;
00154 }

FLA_Error FLA_Sylv_nt_blk_var4 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C12 = sylv( A11, B22', C12 - A12 * C22 );
00093     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00094                        FLA_MINUS_ONE, A12, C22, FLA_ONE, C12,
00095                        FLA_Cntl_sub_gemm1( cntl ) );
00096 
00097     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00098                        isgn, A11, B22, C12, scale,
00099                        FLA_Cntl_sub_sylv1( cntl ) );
00100 
00101     // C21 = sylv( A22, B11', C21 );
00102     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00103                        isgn, A22, B11, C21, scale,
00104                        FLA_Cntl_sub_sylv2( cntl ) );
00105 
00106     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00107     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00108                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00109                        FLA_Cntl_sub_gemm2( cntl ) );
00110 
00111     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00112                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00113                        FLA_Cntl_sub_gemm3( cntl ) );
00114 
00115     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00116                        isgn, A11, B11, C11, scale,
00117                        FLA_Cntl_sub_sylv3( cntl ) );
00118 
00119     // C10 = C10 -/+ C12 * B02' -/+ C11 * B01';
00120     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00121                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00122                        FLA_Cntl_sub_gemm4( cntl ) );
00123 
00124     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00125                        FLA_NEGATE( isgn ), C12, B02, FLA_ONE, C10,
00126                        FLA_Cntl_sub_gemm5( cntl ) );
00127 
00128     // C20 = C20 -/+ C21 * B01';
00129     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00130                        FLA_NEGATE( isgn ), C21, B01, FLA_ONE, C20,
00131                        FLA_Cntl_sub_gemm6( cntl ) );
00132 
00133     /*------------------------------------------------------------*/
00134 
00135     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00136                             /* ************** */  /* ****************** */
00137                                                      A10, /**/ A11, A12,
00138                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00139                               FLA_BR );
00140 
00141     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00142                             /* ************** */  /* ****************** */
00143                                                      B10, /**/ B11, B12,
00144                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00145                               FLA_BR );
00146 
00147     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00148                             /* ************** */  /* ****************** */
00149                                                      C10, /**/ C11, C12,
00150                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00151                               FLA_BR );
00152 
00153   }
00154 
00155   return FLA_SUCCESS;
00156 }

FLA_Error FLA_Sylv_nt_blk_var5 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C12 = sylv( A11, B22', C12 - A12 * C22 );
00093     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00094                        FLA_MINUS_ONE, A12, C22, FLA_ONE, C12,
00095                        FLA_Cntl_sub_gemm1( cntl ) );
00096 
00097     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00098                        isgn, A11, B22, C12, scale,
00099                        FLA_Cntl_sub_sylv1( cntl ) );
00100 
00101     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00102     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00103                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00104                        FLA_Cntl_sub_gemm2( cntl ) );
00105 
00106     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00107                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00108                        FLA_Cntl_sub_gemm3( cntl ) );
00109 
00110     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00111                        isgn, A11, B11, C11, scale,
00112                        FLA_Cntl_sub_sylv2( cntl ) );
00113 
00114     // C10 = sylv( A11, B00', C10 - A12 * C20 -/+ C12 * B02' -/+ C11 * B01' );
00115     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00116                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00117                        FLA_Cntl_sub_gemm4( cntl ) );
00118 
00119     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00120                        FLA_NEGATE( isgn ), C12, B02, FLA_ONE, C10,
00121                        FLA_Cntl_sub_gemm5( cntl ) );
00122 
00123     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00124                        FLA_MINUS_ONE, A12, C20, FLA_ONE, C10,
00125                        FLA_Cntl_sub_gemm6( cntl ) );
00126 
00127     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00128                        isgn, A11, B00, C10, scale,
00129                        FLA_Cntl_sub_sylv3( cntl ) );
00130 
00131     /*------------------------------------------------------------*/
00132 
00133     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00134                             /* ************** */  /* ****************** */
00135                                                      A10, /**/ A11, A12,
00136                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00137                               FLA_BR );
00138 
00139     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00140                             /* ************** */  /* ****************** */
00141                                                      B10, /**/ B11, B12,
00142                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00143                               FLA_BR );
00144 
00145     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00146                             /* ************** */  /* ****************** */
00147                                                      C10, /**/ C11, C12,
00148                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00149                               FLA_BR );
00150 
00151   }
00152 
00153   return FLA_SUCCESS;
00154 }

FLA_Error FLA_Sylv_nt_blk_var6 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C12 = sylv( A11, B22', C12 );
00093     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00094                        isgn, A11, B22, C12, scale,
00095                        FLA_Cntl_sub_sylv1( cntl ) );
00096 
00097     // C02 = C02 - A01 * C12;
00098     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00099                        FLA_MINUS_ONE, A01, C12, FLA_ONE, C02,
00100                        FLA_Cntl_sub_gemm1( cntl ) );
00101 
00102     // C21 = sylv( A22, B11', C21 );
00103     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00104                        isgn, A22, B11, C21, scale,
00105                        FLA_Cntl_sub_sylv2( cntl ) );
00106 
00107     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00108     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00109                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00110                        FLA_Cntl_sub_gemm2( cntl ) );
00111 
00112     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00113                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00114                        FLA_Cntl_sub_gemm3( cntl ) );
00115 
00116     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00117                        isgn, A11, B11, C11, scale,
00118                        FLA_Cntl_sub_sylv3( cntl ) );
00119 
00120     // C01 = C01 - A01 * C11 - A02 * C21;
00121     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00122                        FLA_MINUS_ONE, A02, C21, FLA_ONE, C01,
00123                        FLA_Cntl_sub_gemm4( cntl ) );
00124 
00125     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00126                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00127                        FLA_Cntl_sub_gemm5( cntl ) );
00128 
00129     // C10 = C10 -/+ C12 * B02' -/+ C11 * B01';
00130     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00131                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00132                        FLA_Cntl_sub_gemm6( cntl ) );
00133 
00134     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00135                        FLA_NEGATE( isgn ), C12, B02, FLA_ONE, C10,
00136                        FLA_Cntl_sub_gemm7( cntl ) );
00137 
00138     // C20 = C20 -/+ C21 * B01';
00139     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00140                        FLA_NEGATE( isgn ), C21, B01, FLA_ONE, C20,
00141                        FLA_Cntl_sub_gemm8( cntl ) );
00142 
00143     /*------------------------------------------------------------*/
00144 
00145     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00146                             /* ************** */  /* ****************** */
00147                                                      A10, /**/ A11, A12,
00148                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00149                               FLA_BR );
00150 
00151     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00152                             /* ************** */  /* ****************** */
00153                                                      B10, /**/ B11, B12,
00154                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00155                               FLA_BR );
00156 
00157     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00158                             /* ************** */  /* ****************** */
00159                                                      C10, /**/ C11, C12,
00160                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00161                               FLA_BR );
00162 
00163   }
00164 
00165   return FLA_SUCCESS;
00166 }

FLA_Error FLA_Sylv_nt_blk_var7 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C21 = sylv( A22, B11', C21 );
00093     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00094                        isgn, A22, B11, C21, scale,
00095                        FLA_Cntl_sub_sylv1( cntl ) );
00096 
00097     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00098     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00099                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00100                        FLA_Cntl_sub_gemm1( cntl ) );
00101 
00102     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00103                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00104                        FLA_Cntl_sub_gemm2( cntl ) );
00105 
00106     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00107                        isgn, A11, B11, C11, scale,
00108                        FLA_Cntl_sub_sylv2( cntl ) );
00109 
00110     // C01 = sylv( A00, B11', C01 - A01 * C11 - A02 * C21 -/+ C02 * B12' );
00111     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00112                        FLA_NEGATE( isgn ), C02, B12, FLA_ONE, C01,
00113                        FLA_Cntl_sub_gemm3( cntl ) );
00114 
00115     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00116                        FLA_MINUS_ONE, A02, C21, FLA_ONE, C01,
00117                        FLA_Cntl_sub_gemm4( cntl ) );
00118 
00119     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00120                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00121                        FLA_Cntl_sub_gemm5( cntl ) );
00122 
00123     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00124                        isgn, A00, B11, C01, scale,
00125                        FLA_Cntl_sub_sylv3( cntl ) );
00126 
00127     // C10 = C10 -/+ C12 * B02' -/+ C11 * B01';
00128     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00129                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00130                        FLA_Cntl_sub_gemm6( cntl ) );
00131 
00132     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00133                        FLA_NEGATE( isgn ), C12, B02, FLA_ONE, C10,
00134                        FLA_Cntl_sub_gemm7( cntl ) );
00135 
00136     // C20 = C20 -/+ C21 * B01';
00137     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00138                        FLA_NEGATE( isgn ), C21, B01, FLA_ONE, C20,
00139                        FLA_Cntl_sub_gemm8( cntl ) );
00140 
00141     /*------------------------------------------------------------*/
00142 
00143     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00144                             /* ************** */  /* ****************** */
00145                                                      A10, /**/ A11, A12,
00146                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00147                               FLA_BR );
00148 
00149     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00150                             /* ************** */  /* ****************** */
00151                                                      B10, /**/ B11, B12,
00152                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00153                               FLA_BR );
00154 
00155     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00156                             /* ************** */  /* ****************** */
00157                                                      C10, /**/ C11, C12,
00158                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00159                               FLA_BR );
00160 
00161   }
00162 
00163   return FLA_SUCCESS;
00164 }

FLA_Error FLA_Sylv_nt_blk_var8 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C12 = sylv( A11, B22', C12 );
00093     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00094                        isgn, A11, B22, C12, scale,
00095                        FLA_Cntl_sub_sylv1( cntl ) );
00096 
00097     // C02 = C02 - A01 * C12;
00098     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00099                        FLA_MINUS_ONE, A01, C12, FLA_ONE, C02,
00100                        FLA_Cntl_sub_gemm1( cntl ) );
00101 
00102     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00103     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00104                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00105                        FLA_Cntl_sub_gemm2( cntl ) );
00106 
00107     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00108                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00109                        FLA_Cntl_sub_gemm3( cntl ) );
00110 
00111     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00112                        isgn, A11, B11, C11, scale,
00113                        FLA_Cntl_sub_sylv2( cntl ) );
00114 
00115     // C01 = C01 - A01 * C11 - A02 * C21;
00116     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00117                        FLA_MINUS_ONE, A02, C21, FLA_ONE, C01,
00118                        FLA_Cntl_sub_gemm4( cntl ) );
00119 
00120     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00121                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00122                        FLA_Cntl_sub_gemm5( cntl ) );
00123 
00124     // C10 = sylv( A11, B00', C10 - A12 * C20 -/+ C12 * B02' -/+ C11 * B01' );
00125     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00126                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00127                        FLA_Cntl_sub_gemm6( cntl ) );
00128 
00129     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00130                        FLA_NEGATE( isgn ), C12, B02, FLA_ONE, C10,
00131                        FLA_Cntl_sub_gemm7( cntl ) );
00132 
00133     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00134                        FLA_MINUS_ONE, A12, C20, FLA_ONE, C10,
00135                        FLA_Cntl_sub_gemm8( cntl ) );
00136 
00137     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00138                        isgn, A11, B00, C10, scale,
00139                        FLA_Cntl_sub_sylv3( cntl ) );
00140 
00141     /*------------------------------------------------------------*/
00142 
00143     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00144                             /* ************** */  /* ****************** */
00145                                                      A10, /**/ A11, A12,
00146                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00147                               FLA_BR );
00148 
00149     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00150                             /* ************** */  /* ****************** */
00151                                                      B10, /**/ B11, B12,
00152                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00153                               FLA_BR );
00154 
00155     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00156                             /* ************** */  /* ****************** */
00157                                                      C10, /**/ C11, C12,
00158                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00159                               FLA_BR );
00160 
00161   }
00162 
00163   return FLA_SUCCESS;
00164 }

FLA_Error FLA_Sylv_nt_blk_var9 ( 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_nt().

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_BR );
00058 
00059   FLA_Part_2x2( C,    &CTL, &CTR,
00060                       &CBL, &CBR,     0, 0, FLA_BR );
00061 
00062   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00063 
00064     b = FLA_Determine_blocksize( CTL, FLA_TL, 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                                                 &B10, &B11, /**/ &B12,
00074                         /* ************* */   /* ******************** */
00075                            BBL, /**/ BBR,       &B20, &B21, /**/ &B22,
00076                            b, b, FLA_TL );
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_TL );
00083 
00084     // Loop Invariant:
00085     // CTL = 
00086     // CTR = 
00087     // CBL = 
00088     // CBR = 
00089 
00090     /*------------------------------------------------------------*/
00091 
00092     // C11 = sylv( A11, B11', C11 - A12 * C21 -/+ C12 * B12' );
00093     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00094                        FLA_NEGATE( isgn ), C12, B12, FLA_ONE, C11,
00095                        FLA_Cntl_sub_gemm1( cntl ) );
00096 
00097     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00098                        FLA_MINUS_ONE, A12, C21, FLA_ONE, C11,
00099                        FLA_Cntl_sub_gemm2( cntl ) );
00100 
00101     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00102                        isgn, A11, B11, C11, scale,
00103                        FLA_Cntl_sub_sylv1( cntl ) );
00104 
00105     // C01 = sylv( A00, B11', C01 - A01 * C11 - A02 * C21 -/+ C02 * B12' );
00106     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00107                        FLA_NEGATE( isgn ), C02, B12, FLA_ONE, C01,
00108                        FLA_Cntl_sub_gemm3( cntl ) );
00109 
00110     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00111                        FLA_MINUS_ONE, A02, C21, FLA_ONE, C01,
00112                        FLA_Cntl_sub_gemm4( cntl ) );
00113 
00114     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00115                        FLA_MINUS_ONE, A01, C11, FLA_ONE, C01,
00116                        FLA_Cntl_sub_gemm5( cntl ) );
00117 
00118     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00119                        isgn, A00, B11, C01, scale,
00120                        FLA_Cntl_sub_sylv2( cntl ) );
00121 
00122     // C10 = sylv( A11, B00', C10 - A12 * C20 -/+ C12 * B02' -/+ C11 * B01' );
00123     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00124                        FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
00125                        FLA_Cntl_sub_gemm6( cntl ) );
00126 
00127     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE,
00128                        FLA_NEGATE( isgn ), C12, B02, FLA_ONE, C10,
00129                        FLA_Cntl_sub_gemm7( cntl ) );
00130 
00131     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00132                        FLA_MINUS_ONE, A12, C20, FLA_ONE, C10,
00133                        FLA_Cntl_sub_gemm8( cntl ) );
00134 
00135     FLA_Sylv_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 
00136                        isgn, A11, B00, C10, scale,
00137                        FLA_Cntl_sub_sylv3( cntl ) );
00138 
00139     /*------------------------------------------------------------*/
00140 
00141     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00142                             /* ************** */  /* ****************** */
00143                                                      A10, /**/ A11, A12,
00144                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00145                               FLA_BR );
00146 
00147     FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR,       B00, /**/ B01, B02,
00148                             /* ************** */  /* ****************** */
00149                                                      B10, /**/ B11, B12,
00150                               &BBL, /**/ &BBR,       B20, /**/ B21, B22,
00151                               FLA_BR );
00152 
00153     FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00, /**/ C01, C02,
00154                             /* ************** */  /* ****************** */
00155                                                      C10, /**/ C11, C12,
00156                               &CBL, /**/ &CBR,       C20, /**/ C21, C22,
00157                               FLA_BR );
00158 
00159   }
00160 
00161   return FLA_SUCCESS;
00162 }


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