FLA_Apply_H2_UT_l.h File Reference

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Functions
FLA_Error	FLA_Apply_H2_UT_l_unb_var1 (FLA_Obj tau, FLA_Obj u2, FLA_Obj a1t, FLA_Obj A2)
FLA_Error	FLA_Apply_H2_UT_l_opt_var1 (FLA_Obj tau, FLA_Obj u2, FLA_Obj a1t, FLA_Obj A2)
FLA_Error	FLA_Apply_H2_UT_l_ops_var1 (int m_u2_A2, int n_a1t, float *tau, float *u2, int inc_u2, float *a1t, int inc_a1t, float *A2, int rs_A2, int cs_A2)
FLA_Error	FLA_Apply_H2_UT_l_opd_var1 (int m_u2_A2, int n_a1t, double *tau, double *u2, int inc_u2, double *a1t, int inc_a1t, double *A2, int rs_A2, int cs_A2)
FLA_Error	FLA_Apply_H2_UT_l_opc_var1 (int m_u2_A2, int n_a1t, scomplex *tau, scomplex *u2, int inc_u2, scomplex *a1t, int inc_a1t, scomplex *A2, int rs_A2, int cs_A2)
FLA_Error	FLA_Apply_H2_UT_l_opz_var1 (int m_u2_A2, int n_a1t, dcomplex *tau, dcomplex *u2, int inc_u2, dcomplex *a1t, int inc_a1t, dcomplex *A2, int rs_A2, int cs_A2)

Function Documentation

FLA_Apply_H2_UT_l_opc_var1()

FLA_Error FLA_Apply_H2_UT_l_opc_var1	(	int	m_u2_A2,
		int	n_a1t,
		scomplex *	tau,
		scomplex *	u2,
		int	inc_u2,
		scomplex *	a1t,
		int	inc_a1t,
		scomplex *	A2,
		int	rs_A2,
		int	cs_A2
	)

{
  scomplex* one_p       = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* minus_one_p = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  int       inc_w1t;
 
  // FLA_Obj w1t;
  scomplex* w1t;
 
  if ( n_a1t == 0 || ( tau->real == 0.0F && tau->imag == 0.0F ) ) return FLA_SUCCESS;
 
  // FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, a1t, &w1t );
  w1t = ( scomplex* ) FLA_malloc( n_a1t * sizeof( *a1t ) );
  inc_w1t = 1;
 
  // // w1t = a1t;
  // FLA_Copy_external( a1t, w1t );
  bl1_ccopyv( BLIS1_NO_CONJUGATE,
              n_a1t,
              a1t, inc_a1t, 
              w1t, inc_w1t ); 
 
  // // w1t = w1t + u2' * A2;
  // // w1t = w1t + A2^T * conj(u2);
  // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_ONE, A2, u2, FLA_ONE, w1t );
  bl1_cgemv( BLIS1_TRANSPOSE,
             BLIS1_CONJUGATE,
             m_u2_A2,
             n_a1t,
             one_p,
             A2, rs_A2, cs_A2,
             u2, inc_u2,
             one_p,
             w1t, inc_w1t );
 
  // // w1t = w1t / tau;
  // FLA_Inv_scalc_external( FLA_NO_CONJUGATE, tau, w1t );
  bl1_cinvscalv( BLIS1_NO_CONJUGATE,
                 n_a1t,
                 tau,
                 w1t, inc_w1t );
 
  // // a1t = - w1t + a1t;
  // FLA_Axpy_external( FLA_MINUS_ONE, w1t, a1t );
  bl1_caxpyv( BLIS1_NO_CONJUGATE,
              n_a1t,
              minus_one_p,
              w1t, inc_w1t,
              a1t, inc_a1t );
 
  // // A2 = - u2 * w1t + A2;
  // FLA_Ger_external( FLA_MINUS_ONE, u2, w1t, A2 );
  bl1_cger( BLIS1_NO_CONJUGATE,
            BLIS1_NO_CONJUGATE,
            m_u2_A2,
            n_a1t,
            minus_one_p,
            u2, inc_u2,
            w1t, inc_w1t,
            A2, rs_A2, cs_A2 );
 
  // FLA_Obj_free( &w1t );
  FLA_free( w1t );
 
  return FLA_SUCCESS;
}

References bl1_caxpyv(), bl1_ccopyv(), bl1_cgemv(), bl1_cger(), bl1_cinvscalv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_TRANSPOSE, FLA_free(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_Apply_H2_UT_l_opt_var1(), FLA_Bidiag_UT_u_step_opc_var1(), FLA_CAQR2_UT_opc_var1(), FLA_Hess_UT_step_opc_var1(), FLA_QR2_UT_opc_var1(), FLA_QR_UT_form_Q_opc_var1(), FLA_QR_UT_opc_var1(), and FLA_QR_UT_opc_var2().

FLA_Apply_H2_UT_l_opd_var1()

FLA_Error FLA_Apply_H2_UT_l_opd_var1	(	int	m_u2_A2,
		int	n_a1t,
		double *	tau,
		double *	u2,
		int	inc_u2,
		double *	a1t,
		int	inc_a1t,
		double *	A2,
		int	rs_A2,
		int	cs_A2
	)

{
  double*   one_p       = FLA_DOUBLE_PTR( FLA_ONE );
  double*   minus_one_p = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  int       inc_w1t;
 
  // FLA_Obj w1t;
  double*   w1t;
 
  if ( n_a1t == 0 && *tau == 0.0 ) return FLA_SUCCESS;
 
  // FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, a1t, &w1t );
  w1t = ( double* ) FLA_malloc( n_a1t * sizeof( *a1t ) );
  inc_w1t = 1;
 
  // // w1t = a1t;
  // FLA_Copy_external( a1t, w1t );
  bl1_dcopyv( BLIS1_NO_CONJUGATE,
              n_a1t,
              a1t, inc_a1t, 
              w1t, inc_w1t ); 
 
  // // w1t = w1t + u2' * A2;
  // // w1t = w1t + A2^T * conj(u2);
  // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_ONE, A2, u2, FLA_ONE, w1t );
  bl1_dgemv( BLIS1_TRANSPOSE,
             BLIS1_CONJUGATE,
             m_u2_A2,
             n_a1t,
             one_p,
             A2, rs_A2, cs_A2,
             u2, inc_u2,
             one_p,
             w1t, inc_w1t );
 
  // // w1t = w1t / tau;
  // FLA_Inv_scalc_external( FLA_NO_CONJUGATE, tau, w1t );
  bl1_dinvscalv( BLIS1_NO_CONJUGATE,
                 n_a1t,
                 tau,
                 w1t, inc_w1t );
 
  // // a1t = - w1t + a1t;
  // FLA_Axpy_external( FLA_MINUS_ONE, w1t, a1t );
  bl1_daxpyv( BLIS1_NO_CONJUGATE,
              n_a1t,
              minus_one_p,
              w1t, inc_w1t,
              a1t, inc_a1t );
 
  // // A2 = - u2 * w1t + A2;
  // FLA_Ger_external( FLA_MINUS_ONE, u2, w1t, A2 );
  bl1_dger( BLIS1_NO_CONJUGATE,
            BLIS1_NO_CONJUGATE,
            m_u2_A2,
            n_a1t,
            minus_one_p,
            u2, inc_u2,
            w1t, inc_w1t,
            A2, rs_A2, cs_A2 );
 
  // FLA_Obj_free( &w1t );
  FLA_free( w1t );
 
  return FLA_SUCCESS;
}

References bl1_daxpyv(), bl1_dcopyv(), bl1_dgemv(), bl1_dger(), bl1_dinvscalv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_TRANSPOSE, FLA_free(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_Apply_H2_UT_l_opt_var1(), FLA_Bidiag_UT_u_step_opd_var1(), FLA_CAQR2_UT_opd_var1(), FLA_Hess_UT_step_opd_var1(), FLA_QR2_UT_opd_var1(), FLA_QR_UT_form_Q_opd_var1(), FLA_QR_UT_opd_var1(), and FLA_QR_UT_opd_var2().

FLA_Apply_H2_UT_l_ops_var1()

FLA_Error FLA_Apply_H2_UT_l_ops_var1	(	int	m_u2_A2,
		int	n_a1t,
		float *	tau,
		float *	u2,
		int	inc_u2,
		float *	a1t,
		int	inc_a1t,
		float *	A2,
		int	rs_A2,
		int	cs_A2
	)

{
  float*    one_p       = FLA_FLOAT_PTR( FLA_ONE );
  float*    minus_one_p = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  int       inc_w1t;
 
  // FLA_Obj w1t;
  float*    w1t;
 
  if ( n_a1t == 0 || *tau == 0.0F ) return FLA_SUCCESS;
 
  // FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, a1t, &w1t );
  w1t = ( float* ) FLA_malloc( n_a1t * sizeof( *a1t ) );
  inc_w1t = 1;
 
  // // w1t = a1t;
  // FLA_Copy_external( a1t, w1t );
  bl1_scopyv( BLIS1_NO_CONJUGATE,
              n_a1t,
              a1t, inc_a1t, 
              w1t, inc_w1t ); 
 
  // // w1t = w1t + u2' * A2;
  // // w1t = w1t + A2^T * conj(u2);
  // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_ONE, A2, u2, FLA_ONE, w1t );
  bl1_sgemv( BLIS1_TRANSPOSE,
             BLIS1_CONJUGATE,
             m_u2_A2,
             n_a1t,
             one_p,
             A2, rs_A2, cs_A2,
             u2, inc_u2,
             one_p,
             w1t, inc_w1t );
 
  // // w1t = w1t / tau;
  // FLA_Inv_scalc_external( FLA_NO_CONJUGATE, tau, w1t );
  bl1_sinvscalv( BLIS1_NO_CONJUGATE,
                 n_a1t,
                 tau,
                 w1t, inc_w1t );
 
  // // a1t = - w1t + a1t;
  // FLA_Axpy_external( FLA_MINUS_ONE, w1t, a1t );
  bl1_saxpyv( BLIS1_NO_CONJUGATE,
              n_a1t,
              minus_one_p,
              w1t, inc_w1t,
              a1t, inc_a1t );
 
  // // A2 = - u2 * w1t + A2;
  // FLA_Ger_external( FLA_MINUS_ONE, u2, w1t, A2 );
  bl1_sger( BLIS1_NO_CONJUGATE,
            BLIS1_NO_CONJUGATE,
            m_u2_A2,
            n_a1t,
            minus_one_p,
            u2, inc_u2,
            w1t, inc_w1t,
            A2, rs_A2, cs_A2 );
 
  // FLA_Obj_free( &w1t );
  FLA_free( w1t );
 
  return FLA_SUCCESS;
}

References bl1_saxpyv(), bl1_scopyv(), bl1_sgemv(), bl1_sger(), bl1_sinvscalv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_TRANSPOSE, FLA_free(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_Apply_H2_UT_l_opt_var1(), FLA_Bidiag_UT_u_step_ops_var1(), FLA_CAQR2_UT_ops_var1(), FLA_Hess_UT_step_ops_var1(), FLA_QR2_UT_ops_var1(), FLA_QR_UT_form_Q_ops_var1(), FLA_QR_UT_ops_var1(), and FLA_QR_UT_ops_var2().

FLA_Apply_H2_UT_l_opt_var1()

FLA_Error FLA_Apply_H2_UT_l_opt_var1	(	FLA_Obj	tau,
		FLA_Obj	u2,
		FLA_Obj	a1t,
		FLA_Obj	A2
	)

{
  FLA_Datatype datatype;
  int          m_u2_A2;
  int          n_a1t;
  int          inc_u2;
  int          inc_a1t;
  int          rs_A2;
  int          cs_A2;
 
  // The house-holder transformation in libFLAME never creates a zero tau value.
  // However, when libFLAME is mixed with LAPACK, zero tau means to apply an 
  // identity matrix that does nothing here.
  if ( FLA_Obj_has_zero_dim( a1t ) || FLA_Obj_equals( tau, FLA_ZERO) ) return FLA_SUCCESS;
 
  datatype = FLA_Obj_datatype( A2 );
 
  m_u2_A2  = FLA_Obj_length( A2 );
  n_a1t    = FLA_Obj_width( a1t );
  inc_u2   = FLA_Obj_vector_inc( u2 );
  inc_a1t  = FLA_Obj_vector_inc( a1t );
  rs_A2    = FLA_Obj_row_stride( A2 );
  cs_A2    = FLA_Obj_col_stride( A2 );
 
  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* tau_p = ( float* ) FLA_FLOAT_PTR( tau );
      float* u2_p  = ( float* ) FLA_FLOAT_PTR( u2 );
      float* a1t_p = ( float* ) FLA_FLOAT_PTR( a1t );
      float* A2_p  = ( float* ) FLA_FLOAT_PTR( A2 );
 
      if ( *tau_p != 0.0F )
        FLA_Apply_H2_UT_l_ops_var1( m_u2_A2, n_a1t,
                                    tau_p,
                                    u2_p, inc_u2,
                                    a1t_p, inc_a1t,
                                    A2_p, rs_A2, cs_A2 );
      break;
    }
 
    case FLA_DOUBLE:
    {
      double* tau_p = ( double* ) FLA_DOUBLE_PTR( tau );
      double* u2_p  = ( double* ) FLA_DOUBLE_PTR( u2 );
      double* a1t_p = ( double* ) FLA_DOUBLE_PTR( a1t );
      double* A2_p  = ( double* ) FLA_DOUBLE_PTR( A2 );
 
      if ( *tau_p != 0.0 )
        FLA_Apply_H2_UT_l_opd_var1( m_u2_A2, n_a1t,
                                    tau_p,
                                    u2_p, inc_u2,
                                    a1t_p, inc_a1t,
                                    A2_p, rs_A2, cs_A2 );
      break;
    }
 
    case FLA_COMPLEX:
    {
      scomplex* tau_p = ( scomplex* ) FLA_COMPLEX_PTR( tau );
      scomplex* u2_p  = ( scomplex* ) FLA_COMPLEX_PTR( u2 );
      scomplex* a1t_p = ( scomplex* ) FLA_COMPLEX_PTR( a1t );
      scomplex* A2_p  = ( scomplex* ) FLA_COMPLEX_PTR( A2 );
 
      if ( tau_p->real != 0.0F && tau_p->imag != 0.0F )
        FLA_Apply_H2_UT_l_opc_var1( m_u2_A2, n_a1t,
                                    tau_p,
                                    u2_p, inc_u2,
                                    a1t_p, inc_a1t,
                                    A2_p, rs_A2, cs_A2 );
      break;
    }
 
    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* tau_p = ( dcomplex* ) FLA_DOUBLE_COMPLEX_PTR( tau );
      dcomplex* u2_p  = ( dcomplex* ) FLA_DOUBLE_COMPLEX_PTR( u2 );
      dcomplex* a1t_p = ( dcomplex* ) FLA_DOUBLE_COMPLEX_PTR( a1t );
      dcomplex* A2_p  = ( dcomplex* ) FLA_DOUBLE_COMPLEX_PTR( A2 );
 
      if ( tau_p->real != 0.0 && tau_p->imag != 0.0 )
        FLA_Apply_H2_UT_l_opz_var1( m_u2_A2, n_a1t,
                                    tau_p,
                                    u2_p, inc_u2,
                                    a1t_p, inc_a1t,
                                    A2_p, rs_A2, cs_A2 );
      break;
    }
  }
 
  return FLA_SUCCESS;
}

References FLA_Apply_H2_UT_l_opc_var1(), FLA_Apply_H2_UT_l_opd_var1(), FLA_Apply_H2_UT_l_ops_var1(), FLA_Apply_H2_UT_l_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_equals(), FLA_Obj_has_zero_dim(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), FLA_Obj_width(), FLA_ZERO, and i.

Referenced by FLA_Apply_H2_UT_internal().

FLA_Apply_H2_UT_l_opz_var1()

FLA_Error FLA_Apply_H2_UT_l_opz_var1	(	int	m_u2_A2,
		int	n_a1t,
		dcomplex *	tau,
		dcomplex *	u2,
		int	inc_u2,
		dcomplex *	a1t,
		int	inc_a1t,
		dcomplex *	A2,
		int	rs_A2,
		int	cs_A2
	)

{
  dcomplex* one_p       = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* minus_one_p = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  int       inc_w1t;
 
  // FLA_Obj w1t;
  dcomplex* w1t;
 
  if ( n_a1t == 0 || ( tau->real == 0.0 && tau->imag == 0.0 ) ) return FLA_SUCCESS;
 
  // FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, a1t, &w1t );
  w1t = ( dcomplex* ) FLA_malloc( n_a1t * sizeof( *a1t ) );
  inc_w1t = 1;
 
  // // w1t = a1t;
  // FLA_Copy_external( a1t, w1t );
  bl1_zcopyv( BLIS1_NO_CONJUGATE,
              n_a1t,
              a1t, inc_a1t, 
              w1t, inc_w1t ); 
 
  // // w1t = w1t + u2' * A2;
  // // w1t = w1t + A2^T * conj(u2);
  // FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_ONE, A2, u2, FLA_ONE, w1t );
  bl1_zgemv( BLIS1_TRANSPOSE,
             BLIS1_CONJUGATE,
             m_u2_A2,
             n_a1t,
             one_p,
             A2, rs_A2, cs_A2,
             u2, inc_u2,
             one_p,
             w1t, inc_w1t );
 
  // // w1t = w1t / tau;
  // FLA_Inv_scalc_external( FLA_NO_CONJUGATE, tau, w1t );
  bl1_zinvscalv( BLIS1_NO_CONJUGATE,
                 n_a1t,
                 tau,
                 w1t, inc_w1t );
 
  // // a1t = - w1t + a1t;
  // FLA_Axpy_external( FLA_MINUS_ONE, w1t, a1t );
  bl1_zaxpyv( BLIS1_NO_CONJUGATE,
              n_a1t,
              minus_one_p,
              w1t, inc_w1t,
              a1t, inc_a1t );
 
  // // A2 = - u2 * w1t + A2;
  // FLA_Ger_external( FLA_MINUS_ONE, u2, w1t, A2 );
  bl1_zger( BLIS1_NO_CONJUGATE,
            BLIS1_NO_CONJUGATE,
            m_u2_A2,
            n_a1t,
            minus_one_p,
            u2, inc_u2,
            w1t, inc_w1t,
            A2, rs_A2, cs_A2 );
 
  // FLA_Obj_free( &w1t );
  FLA_free( w1t );
 
  return FLA_SUCCESS;
}

References bl1_zaxpyv(), bl1_zcopyv(), bl1_zgemv(), bl1_zger(), bl1_zinvscalv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_TRANSPOSE, FLA_free(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_Apply_H2_UT_l_opt_var1(), FLA_Bidiag_UT_u_step_opz_var1(), FLA_CAQR2_UT_opz_var1(), FLA_Hess_UT_step_opz_var1(), FLA_QR2_UT_opz_var1(), FLA_QR_UT_form_Q_opz_var1(), FLA_QR_UT_opz_var1(), and FLA_QR_UT_opz_var2().

FLA_Apply_H2_UT_l_unb_var1()

FLA_Error FLA_Apply_H2_UT_l_unb_var1	(	FLA_Obj	tau,
		FLA_Obj	u2,
		FLA_Obj	a1t,
		FLA_Obj	A2
	)

{
  FLA_Obj w1t;
 
  if ( FLA_Obj_has_zero_dim( a1t ) || FLA_Obj_equals( tau, FLA_ZERO ) ) return FLA_SUCCESS;
 
  // w1t = a1t;
  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, a1t, &w1t );
  FLA_Copy_external( a1t, w1t );
 
  // w1t = w1t + u2' * A2;
  // w1t = w1t + A2^T * conj(u2);
  FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_ONE, A2, u2, FLA_ONE, w1t );
 
  // w1t = w1t / tau;
  FLA_Inv_scalc_external( FLA_NO_CONJUGATE, tau, w1t );
 
  // a1t = a1t - w1t;
  FLA_Axpy_external( FLA_MINUS_ONE, w1t, a1t );
 
  // A2 = A2 - u2 * w1t;
  FLA_Ger_external( FLA_MINUS_ONE, u2, w1t, A2 );
 
  FLA_Obj_free( &w1t );
 
  return FLA_SUCCESS;
}

References FLA_Axpy_external(), FLA_Copy_external(), FLA_Gemvc_external(), FLA_Ger_external(), FLA_Inv_scalc_external(), FLA_MINUS_ONE, FLA_Obj_create_conf_to(), FLA_Obj_equals(), FLA_Obj_free(), FLA_Obj_has_zero_dim(), FLA_ONE, FLA_ZERO, and i.