FLA_Eig_gest_nu_opt_var1.c File Reference

(r)

Functions
FLA_Error	FLA_Eig_gest_nu_opt_var1 (FLA_Obj A, FLA_Obj Y, FLA_Obj B)
FLA_Error	FLA_Eig_gest_nu_ops_var1 (int m_AB, float *buff_A, int rs_A, int cs_A, float *buff_y, int inc_y, float *buff_B, int rs_B, int cs_B)
FLA_Error	FLA_Eig_gest_nu_opd_var1 (int m_AB, double *buff_A, int rs_A, int cs_A, double *buff_y, int inc_y, double *buff_B, int rs_B, int cs_B)
FLA_Error	FLA_Eig_gest_nu_opc_var1 (int m_AB, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_y, int inc_y, scomplex *buff_B, int rs_B, int cs_B)
FLA_Error	FLA_Eig_gest_nu_opz_var1 (int m_AB, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_y, int inc_y, dcomplex *buff_B, int rs_B, int cs_B)

---

Function Documentation

FLA_Error FLA_Eig_gest_nu_opc_var1	(	int	m_AB,
		scomplex *	buff_A,
		int	rs_A,
		int	cs_A,
		scomplex *	buff_y,
		int	inc_y,
		scomplex *	buff_B,
		int	rs_B,
		int	cs_B
	)

References bli_caxpyv(), bli_cdot2s(), bli_chemv(), bli_cscalv(), bli_ctrmv(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nu_opt_var1().

{
  scomplex* buff_0   = FLA_COMPLEX_PTR( FLA_ZERO );
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_1h  = FLA_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;
    scomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    scomplex* y12t     = buff_y + (i+1)*inc_y;

    scomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    scomplex* b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;
    scomplex* B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;

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

    // FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, A22, b12t, FLA_ZERO, y12t_t );
    bli_chemv( BLIS_UPPER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_ahead,
               buff_1,
               A22,  rs_A, cs_A,
               b12t, cs_B,
               buff_0,
               y12t, inc_y );

    // FLA_Scal_external( beta11, a12t );
    bli_cscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a12t, cs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y12t, inc_y,
                a12t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );
    bli_cscals( beta11, alpha11 );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a12t, b12t, FLA_ONE, alpha11 );
    bli_cdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a12t, cs_A,
                b12t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
    bli_caxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y12t, inc_y,
                a12t, cs_A );

    // FLA_Trmv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a12t );
    bli_ctrmv( BLIS_UPPER_TRIANGULAR,
               BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_ahead,
               B22,  rs_B, cs_B,
               a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}

FLA_Error FLA_Eig_gest_nu_opd_var1	(	int	m_AB,
		double *	buff_A,
		int	rs_A,
		int	cs_A,
		double *	buff_y,
		int	inc_y,
		double *	buff_B,
		int	rs_B,
		int	cs_B
	)

References bli_daxpyv(), bli_ddot2s(), bli_dhemv(), bli_dscalv(), bli_dtrmv(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nu_opt_var1().

{
  double*   buff_0   = FLA_DOUBLE_PTR( FLA_ZERO );
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_1h  = FLA_DOUBLE_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;
    double*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    double*   y12t     = buff_y + (i+1)*inc_y;

    double*   beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    double*   b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;
    double*   B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;

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

    // FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, A22, b12t, FLA_ZERO, y12t_t );
    bli_dhemv( BLIS_UPPER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_ahead,
               buff_1,
               A22,  rs_A, cs_A,
               b12t, cs_B,
               buff_0,
               y12t, inc_y );

    // FLA_Scal_external( beta11, a12t );
    bli_dscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a12t, cs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y12t, inc_y,
                a12t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );
    bli_dscals( beta11, alpha11 );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a12t, b12t, FLA_ONE, alpha11 );
    bli_ddot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a12t, cs_A,
                b12t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
    bli_daxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y12t, inc_y,
                a12t, cs_A );

    // FLA_Trmv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a12t );
    bli_dtrmv( BLIS_UPPER_TRIANGULAR,
               BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_ahead,
               B22,  rs_B, cs_B,
               a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}

FLA_Error FLA_Eig_gest_nu_ops_var1	(	int	m_AB,
		float *	buff_A,
		int	rs_A,
		int	cs_A,
		float *	buff_y,
		int	inc_y,
		float *	buff_B,
		int	rs_B,
		int	cs_B
	)

References bli_saxpyv(), bli_sdot2s(), bli_shemv(), bli_sscalv(), bli_strmv(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nu_opt_var1().

{
  float*    buff_0   = FLA_FLOAT_PTR( FLA_ZERO );
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_1h  = FLA_FLOAT_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;
    float*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    float*    y12t     = buff_y + (i+1)*inc_y;

    float*    beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    float*    b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;
    float*    B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;

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

    // FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, A22, b12t, FLA_ZERO, y12t_t );
    bli_shemv( BLIS_UPPER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_ahead,
               buff_1,
               A22,  rs_A, cs_A,
               b12t, cs_B,
               buff_0,
               y12t, inc_y );

    // FLA_Scal_external( beta11, a12t );
    bli_sscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a12t, cs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y12t, inc_y,
                a12t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );
    bli_sscals( beta11, alpha11 );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a12t, b12t, FLA_ONE, alpha11 );
    bli_sdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a12t, cs_A,
                b12t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
    bli_saxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y12t, inc_y,
                a12t, cs_A );

    // FLA_Trmv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a12t );
    bli_strmv( BLIS_UPPER_TRIANGULAR,
               BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_ahead,
               B22,  rs_B, cs_B,
               a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}

FLA_Error FLA_Eig_gest_nu_opt_var1	(	FLA_Obj	A,
		FLA_Obj	Y,
		FLA_Obj	B
	)

References FLA_Eig_gest_nu_opc_var1(), FLA_Eig_gest_nu_opd_var1(), FLA_Eig_gest_nu_ops_var1(), FLA_Eig_gest_nu_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Part_2x1().

Referenced by FLA_Eig_gest_nu().

{
  FLA_Datatype datatype;
  int          m_AB;
  int          rs_A, cs_A;
  int          rs_B, cs_B;
  int          inc_y;
  FLA_Obj      yT, yB;

  datatype = FLA_Obj_datatype( A );

  m_AB     = FLA_Obj_length( A );

  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );

  rs_B     = FLA_Obj_row_stride( B );
  cs_B     = FLA_Obj_col_stride( B );
 
  FLA_Part_2x1( Y,    &yT,
                      &yB,     1, FLA_TOP );

  inc_y    = FLA_Obj_vector_inc( yT );

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_y = FLA_FLOAT_PTR( yT );
      float* buff_B = FLA_FLOAT_PTR( B );

      FLA_Eig_gest_nu_ops_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_y = FLA_DOUBLE_PTR( yT );
      double* buff_B = FLA_DOUBLE_PTR( B );

      FLA_Eig_gest_nu_opd_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_y = FLA_COMPLEX_PTR( yT );
      scomplex* buff_B = FLA_COMPLEX_PTR( B );

      FLA_Eig_gest_nu_opc_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_y = FLA_DOUBLE_COMPLEX_PTR( yT );
      dcomplex* buff_B = FLA_DOUBLE_COMPLEX_PTR( B );

      FLA_Eig_gest_nu_opz_var1( m_AB,
                                buff_A, rs_A, cs_A,
                                buff_y, inc_y,
                                buff_B, rs_B, cs_B );

      break;
    }
  }

  return FLA_SUCCESS;
}

FLA_Error FLA_Eig_gest_nu_opz_var1	(	int	m_AB,
		dcomplex *	buff_A,
		int	rs_A,
		int	cs_A,
		dcomplex *	buff_y,
		int	inc_y,
		dcomplex *	buff_B,
		int	rs_B,
		int	cs_B
	)

References bli_zaxpyv(), bli_zdot2s(), bli_zhemv(), bli_zscalv(), bli_ztrmv(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NONUNIT_DIAG, BLIS_UPPER_TRIANGULAR, FLA_ONE, FLA_ONE_HALF, and FLA_ZERO.

Referenced by FLA_Eig_gest_nu_opt_var1().

{
  dcomplex* buff_0   = FLA_DOUBLE_COMPLEX_PTR( FLA_ZERO );
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_1h  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE_HALF );
  int       i;

  for ( i = 0; i < m_AB; ++i )
  {
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;
    dcomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    dcomplex* y12t     = buff_y + (i+1)*inc_y;

    dcomplex* beta11   = buff_B + (i  )*cs_B + (i  )*rs_B;
    dcomplex* b12t     = buff_B + (i+1)*cs_B + (i  )*rs_B;
    dcomplex* B22      = buff_B + (i+1)*cs_B + (i+1)*rs_B;

    int       m_ahead  = m_AB - i - 1;

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

    // FLA_Hemvc_external( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE,
    //                     FLA_ONE, A22, b12t, FLA_ZERO, y12t_t );
    bli_zhemv( BLIS_UPPER_TRIANGULAR,
               BLIS_CONJUGATE,
               m_ahead,
               buff_1,
               A22,  rs_A, cs_A,
               b12t, cs_B,
               buff_0,
               y12t, inc_y );

    // FLA_Scal_external( beta11, a12t );
    bli_zscalv( BLIS_NO_CONJUGATE,
                m_ahead,
                beta11,
                a12t, cs_A );

    // FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y12t, inc_y,
                a12t, cs_A );

    // FLA_Scal_external( beta11, alpha11 );
    // FLA_Scal_external( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );
    bli_zscals( beta11, alpha11 );

    // FLA_Dot2cs_external( FLA_CONJUGATE, FLA_ONE, a12t, b12t, FLA_ONE, alpha11 );
    bli_zdot2s( BLIS_CONJUGATE,
                m_ahead,
                buff_1,
                a12t, cs_A,
                b12t, cs_B,
                buff_1,
                alpha11 );

    // FLA_Axpy_external( FLA_ONE_HALF, y12t_t, a12t );
    bli_zaxpyv( BLIS_NO_CONJUGATE,
                m_ahead,
                buff_1h,
                y12t, inc_y,
                a12t, cs_A );

    // FLA_Trmv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
    //                    B22, a12t );
    bli_ztrmv( BLIS_UPPER_TRIANGULAR,
               BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NONUNIT_DIAG,
               m_ahead,
               B22,  rs_B, cs_B,
               a12t, cs_A );

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

  }

  return FLA_SUCCESS;
}