FLA_Trsm_ruh.h File Reference

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Functions

FLA_Error FLA_Trsm_ruh_blk_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_ruh_blk_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_ruh_blk_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_ruh_blk_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_ruh_unb_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_ruh_unb_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_ruh_unb_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_ruh_unb_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)


Function Documentation

FLA_Error FLA_Trsm_ruh_blk_var1 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

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

Referenced by FLA_Trsm_ruh().

00038 {
00039   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00040           ABL,   ABR,      A10, A11, A12,
00041                            A20, A21, A22;
00042 
00043   FLA_Obj BL,    BR,       B0,  B1,  B2;
00044 
00045   dim_t b;
00046 
00047   FLA_Part_2x2( A,    &ATL, &ATR,
00048                       &ABL, &ABR,     0, 0, FLA_BR );
00049 
00050   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );
00051 
00052   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00053 
00054     b = FLA_Determine_blocksize( ATL, FLA_TL, FLA_Cntl_blocksize( cntl ) );
00055 
00056     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, &A01, /**/ &A02,
00057                                                 &A10, &A11, /**/ &A12,
00058                         /* ************* */   /* ******************** */
00059                            ABL, /**/ ABR,       &A20, &A21, /**/ &A22,
00060                            b, b, FLA_TL );
00061 
00062     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &B1, /**/ &B2,
00063                            b, FLA_LEFT );
00064 
00065     /*------------------------------------------------------------*/
00066 
00067     /* B1 = B1 - B2 * A12'; */
00068     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE, 
00069                        FLA_MINUS_ONE, B2, A12, FLA_ONE, B1,
00070                        FLA_Cntl_sub_gemm( cntl ) );
00071 
00072     /* B1 = B1 / triu( A11' ); */
00073     FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
00074                        alpha, A11, B1,
00075                        FLA_Cntl_sub_trsm( cntl ) );
00076 
00077     /*------------------------------------------------------------*/
00078 
00079     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00080                             /* ************** */  /* ****************** */
00081                                                      A10, /**/ A11, A12,
00082                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00083                               FLA_BR );
00084 
00085     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ B1, B2,
00086                               FLA_RIGHT );
00087 
00088   }
00089 
00090   return FLA_SUCCESS;
00091 }

FLA_Error FLA_Trsm_ruh_blk_var2 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

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

Referenced by FLA_Trsm_ruh().

00036 {
00037   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00038           ABL,   ABR,      A10, A11, A12,
00039                            A20, A21, A22;
00040 
00041   FLA_Obj BL,    BR,       B0,  B1,  B2;
00042 
00043   dim_t b;
00044 
00045   FLA_Part_2x2( A,    &ATL, &ATR,
00046                       &ABL, &ABR,     0, 0, FLA_BR );
00047 
00048   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );
00049 
00050   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00051 
00052     b = FLA_Determine_blocksize( ATL, FLA_TL, FLA_Cntl_blocksize( cntl ) );
00053 
00054     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, &A01, /**/ &A02,
00055                                                 &A10, &A11, /**/ &A12,
00056                         /* ************* */   /* ******************** */
00057                            ABL, /**/ ABR,       &A20, &A21, /**/ &A22,
00058                            b, b, FLA_TL );
00059 
00060     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &B1, /**/ &B2,
00061                            b, FLA_LEFT );
00062 
00063     /*------------------------------------------------------------*/
00064 
00065     /* B1 = B1 / triu( A11' ); */
00066     FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
00067                        alpha, A11, B1,
00068                        FLA_Cntl_sub_trsm( cntl ) );
00069 
00070     /* B0 = B0 - B1 * A01'; */
00071     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE, 
00072                        FLA_MINUS_ONE, B1, A01, FLA_ONE, B0,
00073                        FLA_Cntl_sub_gemm( cntl ) );
00074 
00075     /*------------------------------------------------------------*/
00076 
00077     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00078                             /* ************** */  /* ****************** */
00079                                                      A10, /**/ A11, A12,
00080                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00081                               FLA_BR );
00082 
00083     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ B1, B2,
00084                               FLA_RIGHT );
00085 
00086   }
00087 
00088   return FLA_SUCCESS;
00089 }

FLA_Error FLA_Trsm_ruh_blk_var3 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Determine_blocksize(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_ruh().

00036 {
00037   FLA_Obj BT,              B0,
00038           BB,              B1,
00039                            B2;
00040 
00041   dim_t b;
00042 
00043   FLA_Part_2x1( B,    &BT, 
00044                       &BB,            0, FLA_TOP );
00045 
00046   while ( FLA_Obj_length( BT ) < FLA_Obj_length( B ) ){
00047 
00048     b = FLA_Determine_blocksize( BB, FLA_BOTTOM, FLA_Cntl_blocksize( cntl ) );
00049 
00050     FLA_Repart_2x1_to_3x1( BT,                &B0, 
00051                         /* ** */            /* ** */
00052                                               &B1, 
00053                            BB,                &B2,        b, FLA_BOTTOM );
00054 
00055     /*------------------------------------------------------------*/
00056 
00057     /* B1 = B1 / triu( A' ); */
00058     FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
00059                        alpha, A, B1,
00060                        FLA_Cntl_sub_trsm( cntl ) );
00061 
00062     /*------------------------------------------------------------*/
00063 
00064     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00065                                                   B1, 
00066                             /* ** */           /* ** */
00067                               &BB,                B2,     FLA_TOP );
00068 
00069   }
00070 
00071   return FLA_SUCCESS;
00072 }

FLA_Error FLA_Trsm_ruh_blk_var4 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Determine_blocksize(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_ruh().

00038 {
00039   FLA_Obj BT,              B0,
00040           BB,              B1,
00041                            B2;
00042 
00043   dim_t b;
00044 
00045   FLA_Part_2x1( B,    &BT, 
00046                       &BB,            0, FLA_BOTTOM );
00047 
00048   while ( FLA_Obj_length( BB ) < FLA_Obj_length( B ) ){
00049 
00050     b = FLA_Determine_blocksize( BT, FLA_TOP, FLA_Cntl_blocksize( cntl ) );
00051 
00052     FLA_Repart_2x1_to_3x1( BT,                &B0, 
00053                                               &B1, 
00054                         /* ** */            /* ** */
00055                            BB,                &B2,        b, FLA_TOP );
00056 
00057     /*------------------------------------------------------------*/
00058 
00059     /* B1 = B1 / triu( A' ); */
00060     FLA_Trsm_internal( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
00061                        alpha, A, B1,
00062                        FLA_Cntl_sub_trsm( cntl ) );
00063 
00064     /*------------------------------------------------------------*/
00065 
00066     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00067                             /* ** */           /* ** */
00068                                                   B1, 
00069                               &BB,                B2,     FLA_BOTTOM );
00070 
00071   }
00072 
00073   return FLA_SUCCESS;
00074 }

FLA_Error FLA_Trsm_ruh_unb_var1 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemvc_external(), FLA_Inv_scalc_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

00038 {
00039   FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
00040           ABL,   ABR,      a10t, alpha11, a12t,
00041                            A20,  a21,     A22;
00042 
00043   FLA_Obj BL,    BR,       B0,  b1,  B2;
00044 
00045   FLA_Scal_external( alpha, B );
00046 
00047   FLA_Part_2x2( A,    &ATL, &ATR,
00048                       &ABL, &ABR,     0, 0, FLA_BR );
00049 
00050   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );
00051 
00052   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00053 
00054     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  &a01,     /**/ &A02,
00055                                                 &a10t, &alpha11, /**/ &a12t,
00056                         /* ************* */   /* ************************** */
00057                            ABL, /**/ ABR,       &A20,  &a21,     /**/ &A22,
00058                            1, 1, FLA_TL );
00059 
00060     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
00061                            1, FLA_LEFT );
00062 
00063     /*------------------------------------------------------------*/
00064 
00065     /* b1 = b1 - B2 * a12t'; */
00066     FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, B2, a12t, FLA_ONE, b1 );
00067 
00068     /* b1 = b1 / alpha11'; */
00069     if ( diagA != FLA_UNIT_DIAG )
00070       FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1 );
00071 
00072     /*------------------------------------------------------------*/
00073 
00074     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  /**/ a01,     A02,
00075                             /* ************** */  /* ************************ */
00076                                                      a10t, /**/ alpha11, a12t,
00077                               &ABL, /**/ &ABR,       A20,  /**/ a21,     A22,
00078                               FLA_BR );
00079 
00080     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
00081                               FLA_RIGHT );
00082 
00083   }
00084 
00085   return FLA_SUCCESS;
00086 }

FLA_Error FLA_Trsm_ruh_unb_var2 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Gerc_external(), FLA_Inv_scalc_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

00038 {
00039   FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
00040           ABL,   ABR,      a10t, alpha11, a12t,
00041                            A20,  a21,     A22;
00042 
00043   FLA_Obj BL,    BR,       B0,  b1,  B2;
00044 
00045   FLA_Scal_external( alpha, B );
00046 
00047   FLA_Part_2x2( A,    &ATL, &ATR,
00048                       &ABL, &ABR,     0, 0, FLA_BR );
00049 
00050   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );
00051 
00052   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00053 
00054     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  &a01,     /**/ &A02,
00055                                                 &a10t, &alpha11, /**/ &a12t,
00056                         /* ************* */   /* ************************** */
00057                            ABL, /**/ ABR,       &A20,  &a21,     /**/ &A22,
00058                            1, 1, FLA_TL );
00059 
00060     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
00061                            1, FLA_LEFT );
00062 
00063     /*------------------------------------------------------------*/
00064 
00065     /* b1 = b1 / alpha11'; */
00066     if ( diagA != FLA_UNIT_DIAG )
00067       FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1 );
00068 
00069     /* B0 = B0 - b1 * a01'; */
00070     FLA_Gerc_external( FLA_NO_CONJUGATE, FLA_CONJUGATE, FLA_MINUS_ONE, b1, a01, B0 );
00071 
00072     /*------------------------------------------------------------*/
00073 
00074     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  /**/ a01,     A02,
00075                             /* ************** */  /* ************************ */
00076                                                      a10t, /**/ alpha11, a12t,
00077                               &ABL, /**/ &ABR,       A20,  /**/ a21,     A22,
00078                               FLA_BR );
00079 
00080     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
00081                               FLA_RIGHT );
00082 
00083   }
00084 
00085   return FLA_SUCCESS;
00086 }

FLA_Error FLA_Trsm_ruh_unb_var3 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), FLA_Scal_external(), and FLA_Trsv_external().

00038 {
00039   FLA_Obj BT,              B0,
00040           BB,              b1t,
00041                            B2;
00042 
00043   FLA_Scal_external( alpha, B );
00044 
00045   FLA_Part_2x1( B,    &BT, 
00046                       &BB,            0, FLA_TOP );
00047 
00048   while ( FLA_Obj_length( BT ) < FLA_Obj_length( B ) ){
00049 
00050     FLA_Repart_2x1_to_3x1( BT,                &B0, 
00051                         /* ** */            /* *** */
00052                                               &b1t, 
00053                            BB,                &B2,        1, FLA_BOTTOM );
00054 
00055     /*------------------------------------------------------------*/
00056 
00057     /* b1t = b1t / triu( A' ); */
00058     FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, A, b1t );
00059 
00060     /*------------------------------------------------------------*/
00061 
00062     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00063                                                   b1t, 
00064                             /* ** */           /* *** */
00065                               &BB,                B2,     FLA_TOP );
00066 
00067   }
00068 
00069   return FLA_SUCCESS;
00070 }

FLA_Error FLA_Trsm_ruh_unb_var4 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), FLA_Scal_external(), and FLA_Trsv_external().

00038 {
00039   FLA_Obj BT,              B0,
00040           BB,              b1t,
00041                            B2;
00042 
00043   FLA_Scal_external( alpha, B );
00044 
00045   FLA_Part_2x1( B,    &BT, 
00046                       &BB,            0, FLA_BOTTOM );
00047 
00048   while ( FLA_Obj_length( BB ) < FLA_Obj_length( B ) ){
00049 
00050     FLA_Repart_2x1_to_3x1( BT,                &B0, 
00051                                               &b1t, 
00052                         /* ** */            /* *** */
00053                            BB,                &B2,        1, FLA_TOP );
00054 
00055     /*------------------------------------------------------------*/
00056 
00057     /* b1t = b1t / triu( A' ); */
00058     FLA_Trsv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, diagA, A, b1t );
00059 
00060     /*------------------------------------------------------------*/
00061 
00062     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00063                             /* ** */           /* *** */
00064                                                   b1t, 
00065                               &BB,                B2,     FLA_BOTTOM );
00066 
00067   }
00068 
00069   return FLA_SUCCESS;
00070 }


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