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Functions
FLA_LU_piv_opt_var3.c File Reference

(r)

Functions

FLA_Error FLA_LU_piv_opt_var3 (FLA_Obj A, FLA_Obj p)
FLA_Error FLA_LU_piv_ops_var3 (int m_A, int n_A, float *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p)
FLA_Error FLA_LU_piv_opd_var3 (int m_A, int n_A, double *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p)
FLA_Error FLA_LU_piv_opc_var3 (int m_A, int n_A, scomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p)
FLA_Error FLA_LU_piv_opz_var3 (int m_A, int n_A, dcomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p)

Function Documentation

FLA_Error FLA_LU_piv_opc_var3 ( int  m_A,
int  n_A,
scomplex buff_A,
int  rs_A,
int  cs_A,
int *  buff_p,
int  inc_p 
)

References bli_camax(), bli_cdots(), bli_cgemv(), bli_cinvscalv(), bli_ctrsm(), bli_ctrsv(), FLA_Apply_pivots_ln_opc_var1(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_LU_piv_opt_var3().

{
  scomplex* buff_1  = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  int       min_m_n = min( m_A, n_A );
  int       i;

  for ( i = 0; i < min_m_n; ++i )
  {
    scomplex* A00       = buff_A + (0  )*cs_A + (0  )*rs_A;
    scomplex* a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* A20       = buff_A + (0  )*cs_A + (i+1)*rs_A;
    scomplex* a01       = buff_A + (i  )*cs_A + (0  )*rs_A;
    scomplex* alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;

    scomplex* a1        = buff_A + (i  )*cs_A + (0  )*rs_A;

    int*      p0        = buff_p;
    int*      pi1       = buff_p + i*inc_p;

    int       m_ahead   = m_A - i - 1;
    int       mn_behind = i;

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

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 );
    FLA_Apply_pivots_ln_opc_var1( 1,
                                  a1, rs_A, cs_A,
                                  0,
                                  mn_behind - 1,
                                  p0, inc_p );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 );
    bli_ctrsv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_TRANSPOSE,
               BLIS_UNIT_DIAG,
               mn_behind,
               A00, rs_A, cs_A,
               a01, rs_A );

    // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
    bli_cdots( BLIS_NO_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a01, rs_A,
               buff_1,
               alpha11 );

    // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 );
    bli_cgemv( BLIS_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               mn_behind,
               buff_m1,
               A20, rs_A, cs_A,
               a01, rs_A,
               buff_1,
               a21, rs_A );

    // FLA_Merge_2x1( alpha11,
    //                    a21,      &aB1 );

    // FLA_Amax_external( aB1, pi1 );
    bli_camax( m_ahead + 1,
               alpha11, rs_A,
               pi1 );

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 );
    FLA_Apply_pivots_ln_opc_var1( 1,
                                  alpha11, rs_A, cs_A,
                                  0,
                                  0,
                                  pi1, inc_p );

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_cinvscalv( BLIS_NO_CONJUGATE,
                   m_ahead,
                   alpha11,
                   a21, rs_A );

    // FLA_Merge_2x1( a10t,
    //                A20,      &AB0 );

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 );
    FLA_Apply_pivots_ln_opc_var1( mn_behind,
                                  a10t, rs_A, cs_A,
                                  0,
                                  0,
                                  pi1, inc_p );

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

  }

  if ( m_A < n_A )
  {
    scomplex* ATL = buff_A;
    scomplex* ATR = buff_A + m_A*cs_A;

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR );
    FLA_Apply_pivots_ln_opc_var1( n_A - m_A,
                                  ATR, rs_A, cs_A,
                                  0,
                                  m_A - 1,
                                  buff_p, inc_p );

    // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR,
    //                    FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
    //                    FLA_ONE, ATL, ATR );
    bli_ctrsm( BLIS_LEFT,
               BLIS_LOWER_TRIANGULAR,
               BLIS_NO_TRANSPOSE,
               BLIS_UNIT_DIAG,
               m_A,
               n_A - m_A,
               buff_1,
               ATL, rs_A, cs_A,
               ATR, rs_A, cs_A );
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_LU_piv_opd_var3 ( int  m_A,
int  n_A,
double *  buff_A,
int  rs_A,
int  cs_A,
int *  buff_p,
int  inc_p 
)

References bli_damax(), bli_ddots(), bli_dgemv(), bli_dinvscalv(), bli_dtrsm(), bli_dtrsv(), FLA_Apply_pivots_ln_opd_var1(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_LU_piv_opt_var3().

{
  double*   buff_1  = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  int       min_m_n = min( m_A, n_A );
  int       i;

  for ( i = 0; i < min_m_n; ++i )
  {
    double*   A00       = buff_A + (0  )*cs_A + (0  )*rs_A;
    double*   a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   A20       = buff_A + (0  )*cs_A + (i+1)*rs_A;
    double*   a01       = buff_A + (i  )*cs_A + (0  )*rs_A;
    double*   alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;

    double*   a1        = buff_A + (i  )*cs_A + (0  )*rs_A;

    int*      p0        = buff_p;
    int*      pi1       = buff_p + i*inc_p;

    int       m_ahead   = m_A - i - 1;
    int       mn_behind = i;

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

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 );
    FLA_Apply_pivots_ln_opd_var1( 1,
                                  a1, rs_A, cs_A,
                                  0,
                                  mn_behind - 1,
                                  p0, inc_p );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 );
    bli_dtrsv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_TRANSPOSE,
               BLIS_UNIT_DIAG,
               mn_behind,
               A00, rs_A, cs_A,
               a01, rs_A );

    // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
    bli_ddots( BLIS_NO_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a01, rs_A,
               buff_1,
               alpha11 );

    // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 );
    bli_dgemv( BLIS_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               mn_behind,
               buff_m1,
               A20, rs_A, cs_A,
               a01, rs_A,
               buff_1,
               a21, rs_A );

    // FLA_Merge_2x1( alpha11,
    //                    a21,      &aB1 );

    // FLA_Amax_external( aB1, pi1 );
    bli_damax( m_ahead + 1,
               alpha11, rs_A,
               pi1 );

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 );
    FLA_Apply_pivots_ln_opd_var1( 1,
                                  alpha11, rs_A, cs_A,
                                  0,
                                  0,
                                  pi1, inc_p );

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_dinvscalv( BLIS_NO_CONJUGATE,
                   m_ahead,
                   alpha11,
                   a21, rs_A );

    // FLA_Merge_2x1( a10t,
    //                A20,      &AB0 );

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 );
    FLA_Apply_pivots_ln_opd_var1( mn_behind,
                                  a10t, rs_A, cs_A,
                                  0,
                                  0,
                                  pi1, inc_p );

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

  }

  if ( m_A < n_A )
  {
    double*   ATL = buff_A;
    double*   ATR = buff_A + m_A*cs_A;

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR );
    FLA_Apply_pivots_ln_opd_var1( n_A - m_A,
                                  ATR, rs_A, cs_A,
                                  0,
                                  m_A - 1,
                                  buff_p, inc_p );

    // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR,
    //                    FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
    //                    FLA_ONE, ATL, ATR );
    bli_dtrsm( BLIS_LEFT,
               BLIS_LOWER_TRIANGULAR,
               BLIS_NO_TRANSPOSE,
               BLIS_UNIT_DIAG,
               m_A,
               n_A - m_A,
               buff_1,
               ATL, rs_A, cs_A,
               ATR, rs_A, cs_A );
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_LU_piv_ops_var3 ( int  m_A,
int  n_A,
float *  buff_A,
int  rs_A,
int  cs_A,
int *  buff_p,
int  inc_p 
)

References bli_samax(), bli_sdots(), bli_sgemv(), bli_sinvscalv(), bli_strsm(), bli_strsv(), FLA_Apply_pivots_ln_ops_var1(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_LU_piv_opt_var3().

{
  float*    buff_1  = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  int       min_m_n = min( m_A, n_A );
  int       i;

  for ( i = 0; i < min_m_n; ++i )
  {
    float*    A00       = buff_A + (0  )*cs_A + (0  )*rs_A;
    float*    a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    A20       = buff_A + (0  )*cs_A + (i+1)*rs_A;
    float*    a01       = buff_A + (i  )*cs_A + (0  )*rs_A;
    float*    alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;

    float*    a1        = buff_A + (i  )*cs_A + (0  )*rs_A;

    int*      p0        = buff_p;
    int*      pi1       = buff_p + i*inc_p;

    int       m_ahead   = m_A - i - 1;
    int       mn_behind = i;

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

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 );
    FLA_Apply_pivots_ln_ops_var1( 1,
                                  a1, rs_A, cs_A,
                                  0,
                                  mn_behind - 1,
                                  p0, inc_p );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 );
    bli_strsv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_TRANSPOSE,
               BLIS_UNIT_DIAG,
               mn_behind,
               A00, rs_A, cs_A,
               a01, rs_A );

    // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
    bli_sdots( BLIS_NO_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a01, rs_A,
               buff_1,
               alpha11 );

    // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 );
    bli_sgemv( BLIS_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               mn_behind,
               buff_m1,
               A20, rs_A, cs_A,
               a01, rs_A,
               buff_1,
               a21, rs_A );

    // FLA_Merge_2x1( alpha11,
    //                    a21,      &aB1 );

    // FLA_Amax_external( aB1, pi1 );
    bli_samax( m_ahead + 1,
               alpha11, rs_A,
               pi1 );

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 );
    FLA_Apply_pivots_ln_ops_var1( 1,
                                  alpha11, rs_A, cs_A,
                                  0,
                                  0,
                                  pi1, inc_p );

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_sinvscalv( BLIS_NO_CONJUGATE,
                   m_ahead,
                   alpha11,
                   a21, rs_A );

    // FLA_Merge_2x1( a10t,
    //                A20,      &AB0 );

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 );
    FLA_Apply_pivots_ln_ops_var1( mn_behind,
                                  a10t, rs_A, cs_A,
                                  0,
                                  0,
                                  pi1, inc_p );

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

  }

  if ( m_A < n_A )
  {
    float*    ATL = buff_A;
    float*    ATR = buff_A + m_A*cs_A;

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR );
    FLA_Apply_pivots_ln_ops_var1( n_A - m_A,
                                  ATR, rs_A, cs_A,
                                  0,
                                  m_A - 1,
                                  buff_p, inc_p );

    // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR,
    //                    FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
    //                    FLA_ONE, ATL, ATR );
    bli_strsm( BLIS_LEFT,
               BLIS_LOWER_TRIANGULAR,
               BLIS_NO_TRANSPOSE,
               BLIS_UNIT_DIAG,
               m_A,
               n_A - m_A,
               buff_1,
               ATL, rs_A, cs_A,
               ATR, rs_A, cs_A );
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_LU_piv_opt_var3 ( FLA_Obj  A,
FLA_Obj  p 
)

References FLA_LU_piv_opc_var3(), FLA_LU_piv_opd_var3(), FLA_LU_piv_ops_var3(), FLA_LU_piv_opz_var3(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Obj_width().

Referenced by FLA_LU_piv_internal().

{
  FLA_Datatype datatype;
  int          m_A, n_A;
  int          rs_A, cs_A;
  int          inc_p;

  datatype = FLA_Obj_datatype( A );

  m_A      = FLA_Obj_length( A );
  n_A      = FLA_Obj_width( A );
  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  inc_p    = FLA_Obj_vector_inc( p );


  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      int*   buff_p = FLA_INT_PTR( p );

      FLA_LU_piv_ops_var3( m_A,
                           n_A,
                           buff_A, rs_A, cs_A,
                           buff_p, inc_p );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      int*    buff_p = FLA_INT_PTR( p );

      FLA_LU_piv_opd_var3( m_A,
                           n_A,
                           buff_A, rs_A, cs_A,
                           buff_p, inc_p );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      int*      buff_p = FLA_INT_PTR( p );

      FLA_LU_piv_opc_var3( m_A,
                           n_A,
                           buff_A, rs_A, cs_A,
                           buff_p, inc_p );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      int*      buff_p = FLA_INT_PTR( p );

      FLA_LU_piv_opz_var3( m_A,
                           n_A,
                           buff_A, rs_A, cs_A,
                           buff_p, inc_p );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_LU_piv_opz_var3 ( int  m_A,
int  n_A,
dcomplex buff_A,
int  rs_A,
int  cs_A,
int *  buff_p,
int  inc_p 
)

References bli_zamax(), bli_zdots(), bli_zgemv(), bli_zinvscalv(), bli_ztrsm(), bli_ztrsv(), FLA_Apply_pivots_ln_opz_var1(), FLA_MINUS_ONE, and FLA_ONE.

Referenced by FLA_LU_piv_opt_var3().

{
  dcomplex* buff_1  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  int       min_m_n = min( m_A, n_A );
  int       i;

  for ( i = 0; i < min_m_n; ++i )
  {
    dcomplex* A00       = buff_A + (0  )*cs_A + (0  )*rs_A;
    dcomplex* a10t      = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* A20       = buff_A + (0  )*cs_A + (i+1)*rs_A;
    dcomplex* a01       = buff_A + (i  )*cs_A + (0  )*rs_A;
    dcomplex* alpha11   = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21       = buff_A + (i  )*cs_A + (i+1)*rs_A;

    dcomplex* a1        = buff_A + (i  )*cs_A + (0  )*rs_A;

    int*      p0        = buff_p;
    int*      pi1       = buff_p + i*inc_p;

    int       m_ahead   = m_A - i - 1;
    int       mn_behind = i;

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

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p0, a1 );
    FLA_Apply_pivots_ln_opz_var1( 1,
                                  a1, rs_A, cs_A,
                                  0,
                                  mn_behind - 1,
                                  p0, inc_p );

    // FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG, A00, a01 );
    bli_ztrsv( BLIS_LOWER_TRIANGULAR,
               BLIS_NO_TRANSPOSE,
               BLIS_UNIT_DIAG,
               mn_behind,
               A00, rs_A, cs_A,
               a01, rs_A );

    // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
    bli_zdots( BLIS_NO_CONJUGATE,
               mn_behind,
               buff_m1,
               a10t, cs_A,
               a01, rs_A,
               buff_1,
               alpha11 );

    // FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a01, FLA_ONE, a21 );
    bli_zgemv( BLIS_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               mn_behind,
               buff_m1,
               A20, rs_A, cs_A,
               a01, rs_A,
               buff_1,
               a21, rs_A );

    // FLA_Merge_2x1( alpha11,
    //                    a21,      &aB1 );

    // FLA_Amax_external( aB1, pi1 );
    bli_zamax( m_ahead + 1,
               alpha11, rs_A,
               pi1 );

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, aB1 );
    FLA_Apply_pivots_ln_opz_var1( 1,
                                  alpha11, rs_A, cs_A,
                                  0,
                                  0,
                                  pi1, inc_p );

    // FLA_Inv_scal_external( alpha11, a21 );
    bli_zinvscalv( BLIS_NO_CONJUGATE,
                   m_ahead,
                   alpha11,
                   a21, rs_A );

    // FLA_Merge_2x1( a10t,
    //                A20,      &AB0 );

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB0 );
    FLA_Apply_pivots_ln_opz_var1( mn_behind,
                                  a10t, rs_A, cs_A,
                                  0,
                                  0,
                                  pi1, inc_p );

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

  }

  if ( m_A < n_A )
  {
    dcomplex* ATL = buff_A;
    dcomplex* ATR = buff_A + m_A*cs_A;

    // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, p, ATR );
    FLA_Apply_pivots_ln_opz_var1( n_A - m_A,
                                  ATR, rs_A, cs_A,
                                  0,
                                  m_A - 1,
                                  buff_p, inc_p );

    // FLA_Trsm_external( FLA_LEFT, FLA_LOWER_TRIANGULAR,
    //                    FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
    //                    FLA_ONE, ATL, ATR );
    bli_ztrsm( BLIS_LEFT,
               BLIS_LOWER_TRIANGULAR,
               BLIS_NO_TRANSPOSE,
               BLIS_UNIT_DIAG,
               m_A,
               n_A - m_A,
               buff_1,
               ATL, rs_A, cs_A,
               ATR, rs_A, cs_A );
  }

  return FLA_SUCCESS;
}