FLA_Trinv_l.h File Reference

(r)

Go to the source code of this file.

Functions

FLA_Error FLA_Trinv_l_blk_var1 (FLA_Diag diag, FLA_Obj A, fla_trinv_t *cntl)
FLA_Error FLA_Trinv_l_blk_var2 (FLA_Diag diag, FLA_Obj A, fla_trinv_t *cntl)
FLA_Error FLA_Trinv_l_blk_var3 (FLA_Diag diag, FLA_Obj A, fla_trinv_t *cntl)
FLA_Error FLA_Trinv_l_blk_var4 (FLA_Diag diag, FLA_Obj A, fla_trinv_t *cntl)
FLA_Error FLA_Trinv_l_unb_var1 (FLA_Diag diag, FLA_Obj A)
FLA_Error FLA_Trinv_l_unb_var2 (FLA_Diag diag, FLA_Obj A)
FLA_Error FLA_Trinv_l_unb_var3 (FLA_Diag diag, FLA_Obj A)
FLA_Error FLA_Trinv_l_unb_var4 (FLA_Diag diag, FLA_Obj A)


Function Documentation

FLA_Error FLA_Trinv_l_blk_var1 ( FLA_Diag  diag,
FLA_Obj  A,
fla_trinv_t cntl 
)

References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trinv_internal(), FLA_Trmm_internal(), and FLA_Trsm_internal().

Referenced by FLA_Trinv_l().

00038 {
00039   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00040           ABL,   ABR,      A10, A11, A12,
00041                            A20, A21, A22;
00042 
00043   dim_t b;
00044 
00045   FLA_Part_2x2( A,    &ATL, &ATR,
00046                       &ABL, &ABR,     0, 0, FLA_TL );
00047 
00048   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00049 
00050     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00051 
00052     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00053                         /* ************* */   /* ******************** */
00054                                                 &A10, /**/ &A11, &A12,
00055                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00056                            b, b, FLA_BR );
00057 
00058     /*------------------------------------------------------------*/
00059 
00060     /* A10 = A10 * A00 */
00061     FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00062                        FLA_ONE, A00, A10, 
00063                        FLA_Cntl_sub_trmm( cntl ) );
00064 
00065     /* A10 = -triu( A11 ) \ A10 */
00066     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00067                        FLA_MINUS_ONE, A11, A10, 
00068                        FLA_Cntl_sub_trsm1( cntl ) );
00069 
00070     /* A11 = inv( A11 ) */
00071     FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, diag, A11,
00072                         FLA_Cntl_sub_trinv( cntl ) );
00073 
00074     /*------------------------------------------------------------*/
00075 
00076     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00077                                                      A10, A11, /**/ A12,
00078                             /* ************** */  /* ****************** */
00079                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00080                               FLA_TL );
00081 
00082   }
00083 
00084   return FLA_SUCCESS;
00085 }

FLA_Error FLA_Trinv_l_blk_var2 ( FLA_Diag  diag,
FLA_Obj  A,
fla_trinv_t cntl 
)

References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Trinv_internal(), and FLA_Trsm_internal().

Referenced by FLA_Trinv_l().

00038 {
00039   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00040           ABL,   ABR,      A10, A11, A12,
00041                            A20, A21, A22;
00042 
00043   dim_t b;
00044 
00045   FLA_Part_2x2( A,    &ATL, &ATR,
00046                       &ABL, &ABR,     0, 0, FLA_TL );
00047 
00048   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00049 
00050     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00051 
00052     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00053                         /* ************* */   /* ******************** */
00054                                                 &A10, /**/ &A11, &A12,
00055                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00056                            b, b, FLA_BR );
00057 
00058     /*------------------------------------------------------------*/
00059 
00060     /* A21 = triu( A22 ) \ A21 */
00061     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00062                        FLA_ONE, A22, A21,
00063                        FLA_Cntl_sub_trsm1( cntl ) );
00064 
00065     /* A21 = -A21 / triu( A11 ) */
00066     FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00067                        FLA_MINUS_ONE, A11, A21,
00068                        FLA_Cntl_sub_trsm2( cntl ) );
00069 
00070     /* A11 = inv( A11 ) */
00071     FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, diag, A11,
00072                         FLA_Cntl_sub_trinv( cntl ) );
00073 
00074     /*------------------------------------------------------------*/
00075 
00076     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00077                                                      A10, A11, /**/ A12,
00078                             /* ************** */  /* ****************** */
00079                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00080                               FLA_TL );
00081 
00082   }
00083 
00084   return FLA_SUCCESS;
00085 }

FLA_Error FLA_Trinv_l_blk_var3 ( FLA_Diag  diag,
FLA_Obj  A,
fla_trinv_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(), FLA_Trinv_internal(), and FLA_Trsm_internal().

Referenced by FLA_Trinv_l().

00036 {
00037   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00038           ABL,   ABR,      A10, A11, A12,
00039                            A20, A21, A22;
00040 
00041   dim_t b;
00042 
00043   FLA_Part_2x2( A,    &ATL, &ATR,
00044                       &ABL, &ABR,     0, 0, FLA_TL );
00045 
00046   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00047 
00048     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00049 
00050     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00051                         /* ************* */   /* ******************** */
00052                                                 &A10, /**/ &A11, &A12,
00053                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00054                            b, b, FLA_BR );
00055 
00056     /*------------------------------------------------------------*/
00057 
00058     /* A21 = -A21 / triu( A11 ) */
00059     FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00060                        FLA_MINUS_ONE, A11, A21, 
00061                        FLA_Cntl_sub_trsm1( cntl ) );
00062 
00063     /* A20 = A21 * A10 + A20 */
00064     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00065                        FLA_ONE, A21, A10, FLA_ONE, A20, 
00066                        FLA_Cntl_sub_gemm( cntl ) );
00067 
00068     /* A10 = triu( A11 ) \ A10 */
00069     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00070                        FLA_ONE, A11, A10, 
00071                        FLA_Cntl_sub_trsm2( cntl ) );
00072 
00073     /* A11 = inv( A11 ) */
00074     FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, diag, A11,
00075                         FLA_Cntl_sub_trinv( cntl ) );
00076 
00077     /*------------------------------------------------------------*/
00078 
00079     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00080                                                      A10, A11, /**/ A12,
00081                             /* ************** */  /* ****************** */
00082                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00083                               FLA_TL );
00084 
00085   }
00086 
00087   return FLA_SUCCESS;
00088 }

FLA_Error FLA_Trinv_l_blk_var4 ( FLA_Diag  diag,
FLA_Obj  A,
fla_trinv_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(), FLA_Trinv_internal(), FLA_Trmm_internal(), and FLA_Trsm_internal().

Referenced by FLA_Trinv_l().

00038 {
00039   FLA_Obj ATL,   ATR,      A00, A01, A02, 
00040           ABL,   ABR,      A10, A11, A12,
00041                            A20, A21, A22;
00042 
00043   dim_t b;
00044 
00045   FLA_Part_2x2( A,    &ATL, &ATR,
00046                       &ABL, &ABR,     0, 0, FLA_TL );
00047 
00048   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00049 
00050     b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
00051 
00052     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
00053                         /* ************* */   /* ******************** */
00054                                                 &A10, /**/ &A11, &A12,
00055                            ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
00056                            b, b, FLA_BR );
00057 
00058     /*------------------------------------------------------------*/
00059 
00060     /* A21 = -triu( A22 ) \ A21 */
00061     FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00062                        FLA_MINUS_ONE, A22, A21, 
00063                        FLA_Cntl_sub_trsm1( cntl ) );
00064 
00065     /* A20 = -A21 * A10 + A20 */
00066     FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
00067                        FLA_MINUS_ONE, A21, A10, FLA_ONE, A20, 
00068                        FLA_Cntl_sub_gemm( cntl ) );
00069 
00070     /* A10 = A10 * A00 */
00071     FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00072                        FLA_ONE, A00, A10, 
00073                        FLA_Cntl_sub_trmm( cntl ) );
00074 
00075     /* A11 = inv( A11 ) */
00076     FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, diag, A11,
00077                         FLA_Cntl_sub_trinv( cntl ) );
00078 
00079     /*------------------------------------------------------------*/
00080 
00081     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
00082                                                      A10, A11, /**/ A12,
00083                             /* ************** */  /* ****************** */
00084                               &ABL, /**/ &ABR,       A20, A21, /**/ A22,
00085                               FLA_TL );
00086 
00087   }
00088 
00089   return FLA_SUCCESS;
00090 }

FLA_Error FLA_Trinv_l_unb_var1 ( FLA_Diag  diag,
FLA_Obj  A 
)

References FLA_Cont_with_3x3_to_2x2(), FLA_Invert(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_Trmv_external().

00038 {
00039   FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
00040           ABL,   ABR,      a10t, alpha11, a12t,
00041                            A20,  a21,     A22;
00042 
00043   FLA_Part_2x2( A,    &ATL, &ATR,
00044                       &ABL, &ABR,     0, 0, FLA_TL );
00045 
00046   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00047 
00048     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
00049                         /* ************* */   /* ************************** */
00050                                                 &a10t, /**/ &alpha11, &a12t,
00051                            ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
00052                            1, 1, FLA_BR );
00053 
00054     /*------------------------------------------------------------*/
00055 
00056     /* alpha11 = 1.0 / alpha11 */
00057     if ( diag == FLA_NONUNIT_DIAG )
00058       FLA_Invert( alpha11 );
00059 
00060     /* a10t = -a10t * alpha11 */
00061     FLA_Scal_external( FLA_MINUS_ONE, a10t );
00062     if ( diag == FLA_NONUNIT_DIAG )
00063       FLA_Scal_external( alpha11, a10t );
00064 
00065     /* a10t' = triu( A00' ) * a10t' */
00066     FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diag, 
00067               A00, a10t );
00068 
00069     /*------------------------------------------------------------*/
00070 
00071     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
00072                                                      a10t, alpha11, /**/ a12t,
00073                             /* ************** */  /* ************************ */
00074                               &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
00075                               FLA_TL );
00076 
00077   }
00078 
00079   return FLA_SUCCESS;
00080 }

FLA_Error FLA_Trinv_l_unb_var2 ( FLA_Diag  diag,
FLA_Obj  A 
)

References FLA_Cont_with_3x3_to_2x2(), FLA_Invert(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), and FLA_Trsv_external().

00038 {
00039   FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
00040           ABL,   ABR,      a10t, alpha11, a12t,
00041                            A20,  a21,     A22;
00042 
00043   FLA_Part_2x2( A,    &ATL, &ATR,
00044                       &ABL, &ABR,     0, 0, FLA_TL );
00045 
00046   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00047 
00048     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
00049                         /* ************* */   /* ************************** */
00050                                                 &a10t, /**/ &alpha11, &a12t,
00051                            ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
00052                            1, 1, FLA_BR );
00053 
00054     /*------------------------------------------------------------*/
00055 
00056     /* alpha11 = 1.0 / alpha11 */
00057     if ( diag == FLA_NONUNIT_DIAG )
00058       FLA_Invert( alpha11 );
00059 
00060     /* a21 = -a21 * alpha11 */
00061     FLA_Scal_external( FLA_MINUS_ONE, a21 );
00062     if ( diag == FLA_NONUNIT_DIAG )
00063       FLA_Scal_external( alpha11, a21 );
00064 
00065     /* a21 = triu( A22 ) \ a21 */
00066     FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag, 
00067               A22, a21 );
00068 
00069     /*------------------------------------------------------------*/
00070 
00071     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
00072                                                      a10t, alpha11, /**/ a12t,
00073                             /* ************** */  /* ************************ */
00074                               &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
00075                               FLA_TL );
00076 
00077   }
00078 
00079   return FLA_SUCCESS;
00080 }

FLA_Error FLA_Trinv_l_unb_var3 ( FLA_Diag  diag,
FLA_Obj  A 
)

References FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_Invert(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), 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_Part_2x2( A,    &ATL, &ATR,
00044                       &ABL, &ABR,     0, 0, FLA_TL );
00045 
00046   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00047 
00048     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
00049                         /* ************* */   /* ************************** */
00050                                                 &a10t, /**/ &alpha11, &a12t,
00051                            ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
00052                            1, 1, FLA_BR );
00053 
00054     /*------------------------------------------------------------*/
00055 
00056     /* alpha11 = 1.0 / alpha11 */
00057     if ( diag == FLA_NONUNIT_DIAG )
00058       FLA_Invert( alpha11 );
00059 
00060     /* a21 = -a21 * alpha11 */
00061     FLA_Scal_external( FLA_MINUS_ONE, a21 );
00062     if ( diag == FLA_NONUNIT_DIAG )
00063       FLA_Scal_external( alpha11, a21 );
00064 
00065     /* A20 = a21 * a10t + A20 */
00066     FLA_Ger_external( FLA_ONE, a21, a10t, A20 );
00067 
00068     /* a10t = alpha11 * a10t */
00069     if ( diag == FLA_NONUNIT_DIAG )
00070       FLA_Scal_external( alpha11, a10t );
00071 
00072     /*------------------------------------------------------------*/
00073 
00074     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
00075                                                      a10t, alpha11, /**/ a12t,
00076                             /* ************** */  /* ************************ */
00077                               &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
00078                               FLA_TL );
00079 
00080   }
00081 
00082   return FLA_SUCCESS;
00083 }

FLA_Error FLA_Trinv_l_unb_var4 ( FLA_Diag  diag,
FLA_Obj  A 
)

References FLA_Cont_with_3x3_to_2x2(), FLA_Ger_external(), FLA_Invert(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Scal_external(), FLA_Trmv_external(), and FLA_Trsv_external().

00038 {
00039   FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
00040           ABL,   ABR,      a10t, alpha11, a12t,
00041                            A20,  a21,     A22;
00042 
00043   FLA_Part_2x2( A,    &ATL, &ATR,
00044                       &ABL, &ABR,     0, 0, FLA_TL );
00045 
00046   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
00047 
00048     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
00049                         /* ************* */   /* ************************** */
00050                                                 &a10t, /**/ &alpha11, &a12t,
00051                            ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
00052                            1, 1, FLA_BR );
00053 
00054     /*------------------------------------------------------------*/
00055 
00056     /* alpha11 = 1.0 / alpha11 */
00057     if ( diag == FLA_NONUNIT_DIAG )
00058       FLA_Invert( alpha11 );
00059 
00060     /* a21 = -triu( A22 ) \ a21 */
00061     FLA_Scal_external( FLA_MINUS_ONE, a21 );
00062     FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, diag,
00063               A22, a21 );
00064 
00065     /* A20 = -a21 * a10t + A20 */
00066     FLA_Ger_external( FLA_MINUS_ONE, a21, a10t, A20 );
00067 
00068     /* a10t' = triu( A00' ) * a10t' */
00069     FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, diag,
00070               A00, a10t );
00071 
00072     /*------------------------------------------------------------*/
00073 
00074     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
00075                                                      a10t, alpha11, /**/ a12t,
00076                             /* ************** */  /* ************************ */
00077                               &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
00078                               FLA_TL );
00079 
00080   }
00081 
00082   return FLA_SUCCESS;
00083 }


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