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Functions
FLA_Trsm_llh.h File Reference

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Functions

FLA_Error FLA_Trsm_llh_blk_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_llh_blk_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_llh_blk_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_llh_blk_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
FLA_Error FLA_Trsm_llh_unb_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_llh_unb_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_llh_unb_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
FLA_Error FLA_Trsm_llh_unb_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)

Function Documentation

FLA_Error FLA_Trsm_llh_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(), FLA_Scal_internal(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_llh().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02, 
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  dim_t b;

  FLA_Scal_internal( alpha, B,
                     FLA_Cntl_sub_scal( cntl ) );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_BR );

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ATL, FLA_TL, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, &A01, /**/ &A02,
                                                &A10, &A11, /**/ &A12,
                        /* ************* */   /* ******************** */
                           ABL, /**/ ABR,       &A20, &A21, /**/ &A22,
                           b, b, FLA_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &B1, 
                        /* ** */            /* ** */
                           BB,                &B2,        b, FLA_TOP );

    /*------------------------------------------------------------*/

    /* B1 = B1 - A21' * B2; */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       FLA_MINUS_ONE, A21, B2, FLA_ONE, B1,
                       FLA_Cntl_sub_gemm( cntl ) );

    /* B1 = tril( A11' ) \ B1; */
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
                       FLA_ONE, A11, B1,
                       FLA_Cntl_sub_trsm( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
                            /* ************** */  /* ****************** */
                                                     A10, /**/ A11, A12,
                              &ABL, /**/ &ABR,       A20, /**/ A21, A22,
                              FLA_BR );

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  B1, 
                              &BB,                B2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_llh_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(), FLA_Scal_internal(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_llh().

{
  FLA_Obj ATL,   ATR,      A00, A01, A02, 
          ABL,   ABR,      A10, A11, A12,
                           A20, A21, A22;

  FLA_Obj BT,              B0,
          BB,              B1,
                           B2;

  dim_t b;

  FLA_Scal_internal( alpha, B,
                     FLA_Cntl_sub_scal( cntl ) );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_BR );

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){

    b = FLA_Determine_blocksize( ATL, FLA_TL, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, &A01, /**/ &A02,
                                                &A10, &A11, /**/ &A12,
                        /* ************* */   /* ******************** */
                           ABL, /**/ ABR,       &A20, &A21, /**/ &A22,
                           b, b, FLA_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &B1, 
                        /* ** */            /* ** */
                           BB,                &B2,        b, FLA_TOP );

    /*------------------------------------------------------------*/

    /* B1 = tril( A11' ) \ B1; */
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
                       FLA_ONE, A11, B1,
                       FLA_Cntl_sub_trsm( cntl ) );

    /* B0 = B0 - A10' * B1; */
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, A10, B1, FLA_ONE, B0,
                       FLA_Cntl_sub_gemm( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, /**/ A01, A02,
                            /* ************** */  /* ****************** */
                                                     A10, /**/ A11, A12,
                              &ABL, /**/ &ABR,       A20, /**/ A21, A22,
                              FLA_BR );

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* ** */
                                                  B1, 
                              &BB,                B2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_llh_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_llh().

{
  FLA_Obj BL,    BR,       B0,  B1,  B2;

  dim_t b;

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );

  while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){

    b = FLA_Determine_blocksize( BR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &B1, &B2,
                           b, FLA_RIGHT );

    /*------------------------------------------------------------*/

    /* B1 = tril( A' ) \ B1; */
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
                       alpha, A, B1,
                       FLA_Cntl_sub_trsm( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, B1, /**/ B2,
                              FLA_LEFT );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_llh_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_llh().

{
  FLA_Obj BL,    BR,       B0,  B1,  B2;

  dim_t b;

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );

  while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){

    b = FLA_Determine_blocksize( BL, FLA_LEFT, FLA_Cntl_blocksize( cntl ) );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &B1, /**/ &B2,
                           b, FLA_LEFT );

    /*------------------------------------------------------------*/

    /* B1 = tril( A' ) \ B1; */
    FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
                       alpha, A, B1,
                       FLA_Cntl_sub_trsm( cntl ) );

    /*------------------------------------------------------------*/

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ B1, B2,
                              FLA_RIGHT );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_llh_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_Gemvc_external(), FLA_Inv_scalc_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().

Referenced by FLA_Trsm_llh().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Scal_external( alpha, B );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_BR );

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  &a01,     /**/ &A02,
                                                &a10t, &alpha11, /**/ &a12t,
                        /* ************* */   /* ************************** */
                           ABL, /**/ ABR,       &A20,  &a21,     /**/ &A22,
                           1, 1, FLA_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &b1t, 
                        /* ** */            /* *** */
                           BB,                &B2,        1, FLA_TOP );

    /*------------------------------------------------------------*/

    /* b1t = b1t - a21' * B2; */
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, B2, a21, FLA_ONE, b1t );

    /* b1t = b1t / alpha11'; */
    if ( diagA != FLA_UNIT_DIAG )
      FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1t );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  /**/ a01,     A02,
                            /* ************** */  /* ************************ */
                                                     a10t, /**/ alpha11, a12t,
                              &ABL, /**/ &ABR,       A20,  /**/ a21,     A22,
                              FLA_BR );

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* *** */
                                                  b1t, 
                              &BB,                B2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_llh_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_Gerc_external(), FLA_Inv_scalc_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().

Referenced by FLA_Trsm_llh().

{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Scal_external( alpha, B );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_BR );

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  &a01,     /**/ &A02,
                                                &a10t, &alpha11, /**/ &a12t,
                        /* ************* */   /* ************************** */
                           ABL, /**/ ABR,       &A20,  &a21,     /**/ &A22,
                           1, 1, FLA_TL );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &b1t, 
                        /* ** */            /* *** */
                           BB,                &B2,        1, FLA_TOP );

    /*------------------------------------------------------------*/

    /* b1t = b1t / alpha11'; */
    if ( diagA != FLA_UNIT_DIAG )
      FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1t );

    /* B0  = B0 - a10t' * b1t; */
    FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, FLA_MINUS_ONE, a10t, b1t, B0 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  /**/ a01,     A02,
                            /* ************** */  /* ************************ */
                                                     a10t, /**/ alpha11, a12t,
                              &ABL, /**/ &ABR,       A20,  /**/ a21,     A22,
                              FLA_BR );

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* *** */
                                                  b1t, 
                              &BB,                B2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_llh_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().

Referenced by FLA_Trsm_llh().

{
  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Scal_external( alpha, B );

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );

  while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1, &B2,
                           1, FLA_RIGHT );

    /*------------------------------------------------------------*/

    /* b1 = tril( A' ) \ b1; */
    FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA, A, b1 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1, /**/ B2,
                              FLA_LEFT );

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Trsm_llh_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().

Referenced by FLA_Trsm_llh().

{
  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Scal_external( alpha, B );

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );

  while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
                           1, FLA_LEFT );

    /*------------------------------------------------------------*/

    /* b1 = tril( A' ) \ b1; */
    FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA, A, b1 );

    /*------------------------------------------------------------*/

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
                              FLA_RIGHT );

  }

  return FLA_SUCCESS;
}