FLA_Trsm_llt.h File Reference

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Functions

FLA_Error FLA_Trsm_llt_blk_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_llt_blk_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_llt_blk_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_llt_blk_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_llt_unb_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_llt_unb_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_llt_unb_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_llt_unb_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)


Function Documentation

FLA_Error FLA_Trsm_llt_blk_var1 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_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_Trsm_internal().

Referenced by FLA_Trsm_llt().

00038 {
00039   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00040           ABL,   ABR,      A10, A11, A12,
00041                            A20, A21, A22;
00042 
00043   FLA_Obj BT,              B0,
00044           BB,              B1,
00045                            B2;
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( B,    &BT, 
00053                       &BB,            0, FLA_BOTTOM );
00054 
00055   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00056 
00057     b = FLA_Determine_blocksize( ATL, FLA_TL, 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( BT,                &B0, 
00066                                               &B1, 
00067                         /* ** */            /* ** */
00068                            BB,                &B2,        b, FLA_TOP );
00069 
00070     /*------------------------------------------------------------*/
00071 
00072     /* B1 = B1 - A21' * B2; */
00073     FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE, 
00074                        FLA_MINUS_ONE, A21, B2, FLA_ONE, B1,
00075                        FLA_Cntl_sub_gemm( cntl ) );
00076 
00077     /* B1 = tril( A11' ) \ B1; */
00078     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diagA,
00079                        alpha, A11, B1,
00080                        FLA_Cntl_sub_trsm( cntl ) );
00081 
00082     /*------------------------------------------------------------*/
00083 
00084     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00085                             /* ************** */  /* ****************** */
00086                                                      A10, /**/ A11, A12,
00087                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00088                               FLA_BR );
00089 
00090     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00091                             /* ** */           /* ** */
00092                                                   B1, 
00093                               &BB,                B2,     FLA_BOTTOM );
00094 
00095   }
00096 
00097   return FLA_SUCCESS;
00098 }

FLA_Error FLA_Trsm_llt_blk_var2 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_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_Trsm_internal().

Referenced by FLA_Trsm_llt().

00036 {
00037   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00038           ABL,   ABR,      A10, A11, A12,
00039                            A20, A21, A22;
00040 
00041   FLA_Obj BT,              B0,
00042           BB,              B1,
00043                            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_2x1( B,    &BT, 
00051                       &BB,            0, FLA_BOTTOM );
00052 
00053   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00054 
00055     b = FLA_Determine_blocksize( ATL, FLA_TL, 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( BT,                &B0, 
00064                                               &B1, 
00065                         /* ** */            /* ** */
00066                            BB,                &B2,        b, FLA_TOP );
00067 
00068     /*------------------------------------------------------------*/
00069 
00070     /* B1 = tril( A11' ) \ B1; */
00071     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diagA,
00072                        alpha, A11, B1,
00073                        FLA_Cntl_sub_trsm( cntl ) );
00074 
00075     /* B0 = B0 - A10' * B1; */
00076     FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE,
00077                        FLA_MINUS_ONE, A10, B1, FLA_ONE, B0,
00078                        FLA_Cntl_sub_gemm( cntl ) );
00079 
00080     /*------------------------------------------------------------*/
00081 
00082     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
00083                             /* ************** */  /* ****************** */
00084                                                      A10, /**/ A11, A12,
00085                               &ABL, /**/ &ABR,       A20, /**/ A21, A22,
00086                               FLA_BR );
00087 
00088     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00089                             /* ** */           /* ** */
00090                                                   B1, 
00091                               &BB,                B2,     FLA_BOTTOM );
00092 
00093   }
00094 
00095   return FLA_SUCCESS;
00096 }

FLA_Error FLA_Trsm_llt_blk_var3 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_llt().

00036 {
00037   FLA_Obj BL,    BR,       B0,  B1,  B2;
00038 
00039   dim_t b;
00040 
00041   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );
00042 
00043   while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){
00044 
00045     b = FLA_Determine_blocksize( BR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) );
00046 
00047     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &B1, &B2,
00048                            b, FLA_RIGHT );
00049 
00050     /*------------------------------------------------------------*/
00051 
00052     /* B1 = tril( A' ) \ B1; */
00053     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diagA,
00054                        alpha, A, B1,
00055                        FLA_Cntl_sub_trsm( cntl ) );
00056 
00057     /*------------------------------------------------------------*/
00058 
00059     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, B1, /**/ B2,
00060                               FLA_LEFT );
00061 
00062   }
00063 
00064   return FLA_SUCCESS;
00065 }

FLA_Error FLA_Trsm_llt_blk_var4 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_llt().

00038 {
00039   FLA_Obj BL,    BR,       B0,  B1,  B2;
00040 
00041   dim_t b;
00042 
00043   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );
00044 
00045   while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){
00046 
00047     b = FLA_Determine_blocksize( BL, FLA_LEFT, FLA_Cntl_blocksize( cntl ) );
00048 
00049     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &B1, /**/ &B2,
00050                            b, FLA_LEFT );
00051 
00052     /*------------------------------------------------------------*/
00053 
00054     /* B1 = tril( A' ) \ B1; */
00055     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diagA,
00056                        alpha, A, B1,
00057                        FLA_Cntl_sub_trsm( cntl ) );
00058 
00059     /*------------------------------------------------------------*/
00060 
00061     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ B1, B2,
00062                               FLA_RIGHT );
00063 
00064   }
00065 
00066   return FLA_SUCCESS;
00067 }

FLA_Error FLA_Trsm_llt_unb_var1 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemv_external(), FLA_Inv_scal_external(), 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_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 BT,              B0,
00044           BB,              b1t,
00045                            B2;
00046 
00047   FLA_Scal_external( alpha, B );
00048 
00049   FLA_Part_2x2( A,    &ATL, &ATR,
00050                       &ABL, &ABR,     0, 0, FLA_BR );
00051 
00052   FLA_Part_2x1( B,    &BT, 
00053                       &BB,            0, FLA_BOTTOM );
00054 
00055   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00056 
00057     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  &a01,     /**/ &A02,
00058                                                 &a10t, &alpha11, /**/ &a12t,
00059                         /* ************* */   /* ************************** */
00060                            ABL, /**/ ABR,       &A20,  &a21,     /**/ &A22,
00061                            1, 1, FLA_TL );
00062 
00063     FLA_Repart_2x1_to_3x1( BT,                &B0, 
00064                                               &b1t, 
00065                         /* ** */            /* *** */
00066                            BB,                &B2,        1, FLA_TOP );
00067 
00068     /*------------------------------------------------------------*/
00069 
00070     /* b1t = b1t - a21' * B2; */
00071     FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, B2, a21, FLA_ONE, b1t );
00072 
00073     /* b1t = b1t / alpha11; */
00074     if ( diagA != FLA_UNIT_DIAG )
00075       FLA_Inv_scal_external( alpha11, b1t );
00076 
00077     /*------------------------------------------------------------*/
00078 
00079     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  /**/ a01,     A02,
00080                             /* ************** */  /* ************************ */
00081                                                      a10t, /**/ alpha11, a12t,
00082                               &ABL, /**/ &ABR,       A20,  /**/ a21,     A22,
00083                               FLA_BR );
00084 
00085     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00086                             /* ** */           /* *** */
00087                                                   b1t, 
00088                               &BB,                B2,     FLA_BOTTOM );
00089 
00090   }
00091 
00092   return FLA_SUCCESS;
00093 }

FLA_Error FLA_Trsm_llt_unb_var2 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), 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 BT,              B0,
00044           BB,              b1t,
00045                            B2;
00046 
00047   FLA_Scal_external( alpha, B );
00048 
00049   FLA_Part_2x2( A,    &ATL, &ATR,
00050                       &ABL, &ABR,     0, 0, FLA_BR );
00051 
00052   FLA_Part_2x1( B,    &BT, 
00053                       &BB,            0, FLA_BOTTOM );
00054 
00055   while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
00056 
00057     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  &a01,     /**/ &A02,
00058                                                 &a10t, &alpha11, /**/ &a12t,
00059                         /* ************* */   /* ************************** */
00060                            ABL, /**/ ABR,       &A20,  &a21,     /**/ &A22,
00061                            1, 1, FLA_TL );
00062 
00063     FLA_Repart_2x1_to_3x1( BT,                &B0, 
00064                                               &b1t, 
00065                         /* ** */            /* *** */
00066                            BB,                &B2,        1, FLA_TOP );
00067 
00068     /*------------------------------------------------------------*/
00069 
00070     /* b1t = b1t / alpha11; */
00071     if ( diagA != FLA_UNIT_DIAG )
00072       FLA_Inv_scal_external( alpha11, b1t );
00073 
00074     /* B0  = B0 - a10t' * b1t; */
00075     FLA_Ger_external( FLA_MINUS_ONE, a10t, b1t, B0 );
00076 
00077     /*------------------------------------------------------------*/
00078 
00079     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  /**/ a01,     A02,
00080                             /* ************** */  /* ************************ */
00081                                                      a10t, /**/ alpha11, a12t,
00082                               &ABL, /**/ &ABR,       A20,  /**/ a21,     A22,
00083                               FLA_BR );
00084 
00085     FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
00086                             /* ** */           /* *** */
00087                                                   b1t, 
00088                               &BB,                B2,     FLA_BOTTOM );
00089 
00090   }
00091 
00092   return FLA_SUCCESS;
00093 }

FLA_Error FLA_Trsm_llt_unb_var3 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), FLA_Scal_external(), and FLA_Trsv_external().

00038 {
00039   FLA_Obj BL,    BR,       B0,  b1,  B2;
00040 
00041   FLA_Scal_external( alpha, B );
00042 
00043   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );
00044 
00045   while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){
00046 
00047     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1, &B2,
00048                            1, FLA_RIGHT );
00049 
00050     /*------------------------------------------------------------*/
00051 
00052     /* b1 = tril( A' ) \ b1; */
00053     FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diagA, A, b1 );
00054 
00055     /*------------------------------------------------------------*/
00056 
00057     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1, /**/ B2,
00058                               FLA_LEFT );
00059 
00060   }
00061 
00062   return FLA_SUCCESS;
00063 }

FLA_Error FLA_Trsm_llt_unb_var4 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), FLA_Scal_external(), and FLA_Trsv_external().

00038 {
00039   FLA_Obj BL,    BR,       B0,  b1,  B2;
00040 
00041   FLA_Scal_external( alpha, B );
00042 
00043   FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );
00044 
00045   while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){
00046 
00047     FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
00048                            1, FLA_LEFT );
00049 
00050     /*------------------------------------------------------------*/
00051 
00052     /* b1 = tril( A' ) \ b1; */
00053     FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diagA, A, b1 );
00054 
00055     /*------------------------------------------------------------*/
00056 
00057     FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
00058                               FLA_RIGHT );
00059 
00060   }
00061 
00062   return FLA_SUCCESS;
00063 }


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