FLA_LU_piv_opt_var4.c File Reference

(r)

Functions
FLA_Error	FLA_LU_piv_opt_var4 (FLA_Obj A, FLA_Obj p)
FLA_Error	FLA_LU_piv_ops_var4 (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_var4 (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_var4 (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_var4 (int m_A, int n_A, dcomplex *buff_A, int rs_A, int cs_A, int *buff_p, int inc_p)

Function Documentation

FLA_LU_piv_opc_var4()

FLA_Error FLA_LU_piv_opc_var4	(	int	m_A,
		int	n_A,
		scomplex *	buff_A,
		int	rs_A,
		int	cs_A,
		int *	buff_p,
		int	inc_p
	)

{
  FLA_Error r_val   = FLA_SUCCESS;
  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, is_null_pivot;
 
  for ( i = 0; i < min_m_n; ++i )
  {
    scomplex  pivot_val = czero;
    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* A02       = buff_A + (i+1)*cs_A + (0  )*rs_A;
    scomplex* a12t      = buff_A + (i+1)*cs_A + (i  )*rs_A;
 
    int*      pi1       = buff_p + i*inc_p;
 
    int       m_ahead   = m_A - i - 1;
    int       n_ahead   = n_A - i - 1;
    int       mn_behind = i;
 
    /*------------------------------------------------------------*/
 
    // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
    bl1_cdots( BLIS1_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 );
    bl1_cgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_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 );
    bl1_camax( m_ahead + 1,
               alpha11, rs_A,
               pi1 );
 
    // If a null pivot is encountered, return the index. 
    pivot_val =*(alpha11 + *pi1);
 
    is_null_pivot = (pivot_val.real == czero.real && pivot_val.imag == czero.imag);
    if ( is_null_pivot ) 
    {
      r_val = ( r_val == FLA_SUCCESS ? i : r_val );
    }
    else
    {
      // 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_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 );
      
      // FLA_Merge_2x1( a12t,
      //                A22,      &AB2 );
      
      // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 );
      FLA_Apply_pivots_ln_opc_var1( n_ahead,
                                    a12t, rs_A, cs_A,
                                    0,
                                    0,
                                    pi1, inc_p );
    }
 
    // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t );
    bl1_cgemv( BLIS1_TRANSPOSE,
               BLIS1_NO_CONJUGATE,
               mn_behind,
               n_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               a10t, cs_A,
               buff_1,
               a12t, cs_A );
 
    if ( ! is_null_pivot )
    {
      // FLA_Inv_scal_external( alpha11, a21 );
      bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                     m_ahead,
                     alpha11,
                     a21, rs_A );
    }
    /*------------------------------------------------------------*/
 
  }
 
  return r_val;
}

References bl1_camax(), bl1_cdots(), bl1_cgemv(), bl1_cinvscalv(), BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_TRANSPOSE, czero, FLA_Apply_pivots_ln_opc_var1(), FLA_MINUS_ONE, FLA_ONE, i, scomplex::imag, and scomplex::real.

Referenced by FLA_LU_piv_opt_var4().

FLA_LU_piv_opd_var4()

FLA_Error FLA_LU_piv_opd_var4	(	int	m_A,
		int	n_A,
		double *	buff_A,
		int	rs_A,
		int	cs_A,
		int *	buff_p,
		int	inc_p
	)

{
  FLA_Error r_val   = FLA_SUCCESS;
  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, is_null_pivot;
 
  for ( i = 0; i < min_m_n; ++i )
  {
    double    pivot_val = dzero;
    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*   A02       = buff_A + (i+1)*cs_A + (0  )*rs_A;
    double*   a12t      = buff_A + (i+1)*cs_A + (i  )*rs_A;
 
    int*      pi1       = buff_p + i*inc_p;
 
    int       m_ahead   = m_A - i - 1;
    int       n_ahead   = n_A - i - 1;
    int       mn_behind = i;
 
    /*------------------------------------------------------------*/
 
    // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
    bl1_ddots( BLIS1_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 );
    bl1_dgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_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 );
    bl1_damax( m_ahead + 1,
               alpha11, rs_A,
               pi1 );
 
    // If a null pivot is encountered, return the index. 
    pivot_val =*(alpha11 + *pi1);
 
    is_null_pivot = (pivot_val == dzero);
    if ( is_null_pivot ) 
    {
      r_val = ( r_val == FLA_SUCCESS ? i : r_val );
    }
    else
    {
      // 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_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 );
      
      // FLA_Merge_2x1( a12t,
      //                A22,      &AB2 );
      
      // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 );
      FLA_Apply_pivots_ln_opd_var1( n_ahead,
                                    a12t, rs_A, cs_A,
                                    0,
                                    0,
                                    pi1, inc_p );
    }
 
    // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t );
    bl1_dgemv( BLIS1_TRANSPOSE,
               BLIS1_NO_CONJUGATE,
               mn_behind,
               n_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               a10t, cs_A,
               buff_1,
               a12t, cs_A );
 
    if ( ! is_null_pivot )
    {
      // FLA_Inv_scal_external( alpha11, a21 );
      bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                     m_ahead,
                     alpha11,
                     a21, rs_A );
    }
    /*------------------------------------------------------------*/
 
  }
 
  return r_val;
}

References bl1_damax(), bl1_ddots(), bl1_dgemv(), bl1_dinvscalv(), BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_TRANSPOSE, dzero, FLA_Apply_pivots_ln_opd_var1(), FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_LU_piv_opt_var4().

FLA_LU_piv_ops_var4()

FLA_Error FLA_LU_piv_ops_var4	(	int	m_A,
		int	n_A,
		float *	buff_A,
		int	rs_A,
		int	cs_A,
		int *	buff_p,
		int	inc_p
	)

{
  FLA_Error r_val = FLA_SUCCESS;
  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, is_null_pivot;
 
 
  for ( i = 0; i < min_m_n; ++i )
  {
    float     pivot_val = fzero;
    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*    A02       = buff_A + (i+1)*cs_A + (0  )*rs_A;
    float*    a12t      = buff_A + (i+1)*cs_A + (i  )*rs_A;
 
    int*      pi1       = buff_p + i*inc_p;
 
    int       m_ahead   = m_A - i - 1;
    int       n_ahead   = n_A - i - 1;
    int       mn_behind = i;
 
    /*------------------------------------------------------------*/
 
    // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
    bl1_sdots( BLIS1_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 );
    bl1_sgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_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 );
    bl1_samax( m_ahead + 1,
               alpha11, rs_A,
               pi1 );
 
    // If a null pivot is encountered, return the index. 
    pivot_val = *(alpha11 + *pi1);
 
    is_null_pivot = (pivot_val == fzero);
    if ( is_null_pivot ) 
    {
        r_val = ( r_val == FLA_SUCCESS ? i : r_val );
    }
    else
    {
      // 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_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 );
      
      // FLA_Merge_2x1( a12t,
      //                A22,      &AB2 );
      
      // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 );
      FLA_Apply_pivots_ln_ops_var1( n_ahead,
                                    a12t, rs_A, cs_A,
                                    0,
                                    0,
                                    pi1, inc_p );
    }
 
    // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t );
    bl1_sgemv( BLIS1_TRANSPOSE,
               BLIS1_NO_CONJUGATE,
               mn_behind,
               n_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               a10t, cs_A,
               buff_1,
               a12t, cs_A );
 
    if ( ! is_null_pivot )
    {
      // FLA_Inv_scal_external( alpha11, a21 );
      bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                     m_ahead,
                     alpha11,
                     a21, rs_A );
    }
    /*------------------------------------------------------------*/
 
  }
 
  return r_val;
}

References bl1_samax(), bl1_sdots(), bl1_sgemv(), bl1_sinvscalv(), BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_TRANSPOSE, FLA_Apply_pivots_ln_ops_var1(), FLA_MINUS_ONE, FLA_ONE, fzero, and i.

Referenced by FLA_LU_piv_opt_var4().

FLA_LU_piv_opt_var4()

FLA_Error FLA_LU_piv_opt_var4	(	FLA_Obj	A,
		FLA_Obj	p
	)

{
  FLA_Error    r_val = FLA_SUCCESS;
  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 );
 
      r_val = FLA_LU_piv_ops_var4( 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 );
 
      r_val = FLA_LU_piv_opd_var4( 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 );
 
      r_val = FLA_LU_piv_opc_var4( 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 );
 
      r_val = FLA_LU_piv_opz_var4( m_A,
                                   n_A,
                                   buff_A, rs_A, cs_A,
                                   buff_p, inc_p );
 
      break;
    }
  }
 
  return r_val;
}

References FLA_LU_piv_opc_var4(), FLA_LU_piv_opd_var4(), FLA_LU_piv_ops_var4(), FLA_LU_piv_opz_var4(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), FLA_Obj_width(), and i.

Referenced by FLA_LU_piv_internal().

FLA_LU_piv_opz_var4()

FLA_Error FLA_LU_piv_opz_var4	(	int	m_A,
		int	n_A,
		dcomplex *	buff_A,
		int	rs_A,
		int	cs_A,
		int *	buff_p,
		int	inc_p
	)

{
  FLA_Error r_val   = FLA_SUCCESS;
  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, is_null_pivot;
 
  for ( i = 0; i < min_m_n; ++i )
  {
    dcomplex  pivot_val = zzero;
    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* A02       = buff_A + (i+1)*cs_A + (0  )*rs_A;
    dcomplex* a12t      = buff_A + (i+1)*cs_A + (i  )*rs_A;
 
    int*      pi1       = buff_p + i*inc_p;
 
    int       m_ahead   = m_A - i - 1;
    int       n_ahead   = n_A - i - 1;
    int       mn_behind = i;
 
    /*------------------------------------------------------------*/
 
    // FLA_Dots_external( FLA_MINUS_ONE, a10t, a01, FLA_ONE, alpha11 );
    bl1_zdots( BLIS1_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 );
    bl1_zgemv( BLIS1_NO_TRANSPOSE,
               BLIS1_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 );
    bl1_zamax( m_ahead + 1,
               alpha11, rs_A,
               pi1 );
 
    // If a null pivot is encountered, return the index. 
    pivot_val =*(alpha11 + *pi1);
 
    is_null_pivot = (pivot_val.real == zzero.real && pivot_val.imag == zzero.imag);
    if ( is_null_pivot ) 
    {
      r_val = ( r_val == FLA_SUCCESS ? i : r_val );
    }
    else
    {
      // 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_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 );
      
      // FLA_Merge_2x1( a12t,
      //                A22,      &AB2 );
      
      // FLA_Apply_pivots( FLA_LEFT, FLA_NO_TRANSPOSE, pi1, AB2 );
      FLA_Apply_pivots_ln_opz_var1( n_ahead,
                                    a12t, rs_A, cs_A,
                                    0,
                                    0,
                                    pi1, inc_p );
    }
 
    // FLA_Gemv_external( FLA_TRANSPOSE, FLA_MINUS_ONE, A02, a10t, FLA_ONE, a12t );
    bl1_zgemv( BLIS1_TRANSPOSE,
               BLIS1_NO_CONJUGATE,
               mn_behind,
               n_ahead,
               buff_m1,
               A02, rs_A, cs_A,
               a10t, cs_A,
               buff_1,
               a12t, cs_A );
 
    if ( ! is_null_pivot ) 
    {
      // FLA_Inv_scal_external( alpha11, a21 );
      bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                     m_ahead,
                     alpha11,
                     a21, rs_A );
    }
    /*------------------------------------------------------------*/
 
  }
 
  return r_val;
}

References bl1_zamax(), bl1_zdots(), bl1_zgemv(), bl1_zinvscalv(), BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_TRANSPOSE, FLA_Apply_pivots_ln_opz_var1(), FLA_MINUS_ONE, FLA_ONE, i, dcomplex::imag, dcomplex::real, and zzero.

Referenced by FLA_LU_piv_opt_var4().