FLA_Fused_Ahx_Axpy_Ax_opt_var1.c File Reference

(r)

Functions
FLA_Error	FLA_Fused_Ahx_Axpy_Ax_opt_var1 (FLA_Obj A, FLA_Obj u, FLA_Obj tau, FLA_Obj a, FLA_Obj beta, FLA_Obj y, FLA_Obj w)
FLA_Error	FLA_Fused_Ahx_Axpy_Ax_ops_var1 (int m_A, int n_A, float *buff_tau, float *buff_beta, float *buff_A, int rs_A, int cs_A, float *buff_u, int inc_u, float *buff_a, int inc_a, float *buff_y, int inc_y, float *buff_w, int inc_w)
FLA_Error	FLA_Fused_Ahx_Axpy_Ax_opd_var1 (int m_A, int n_A, double *buff_tau, double *buff_beta, double *buff_A, int rs_A, int cs_A, double *buff_u, int inc_u, double *buff_a, int inc_a, double *buff_y, int inc_y, double *buff_w, int inc_w)
FLA_Error	FLA_Fused_Ahx_Axpy_Ax_opc_var1 (int m_A, int n_A, scomplex *buff_tau, scomplex *buff_beta, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_u, int inc_u, scomplex *buff_a, int inc_a, scomplex *buff_y, int inc_y, scomplex *buff_w, int inc_w)
FLA_Error	FLA_Fused_Ahx_Axpy_Ax_opz_var1 (int m_A, int n_A, dcomplex *buff_tau, dcomplex *buff_beta, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_u, int inc_u, dcomplex *buff_a, int inc_a, dcomplex *buff_y, int inc_y, dcomplex *buff_w, int inc_w)

Function Documentation

FLA_Fused_Ahx_Axpy_Ax_opc_var1()

FLA_Error FLA_Fused_Ahx_Axpy_Ax_opc_var1	(	int	m_A,
		int	n_A,
		scomplex *	buff_tau,
		scomplex *	buff_beta,
		scomplex *	buff_A,
		int	rs_A,
		int	cs_A,
		scomplex *	buff_u,
		int	inc_u,
		scomplex *	buff_a,
		int	inc_a,
		scomplex *	buff_y,
		int	inc_y,
		scomplex *	buff_w,
		int	inc_w
	)

{
  scomplex* buff_1  = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_0  = FLA_COMPLEX_PTR( FLA_ZERO );
  scomplex* buff_m1 = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  scomplex  minus_inv_tau;
  scomplex  conj_psi1;
  scomplex  conj_alpha1;
  int       i;
 
  bl1_csetv( m_A,
             buff_0,
             buff_w, inc_w );
 
  bl1_cdiv3( buff_m1, buff_tau, &minus_inv_tau );
 
  for ( i = 0; i < n_A; ++i )
  {
    scomplex* a1       = buff_A + (i  )*cs_A + (0  )*rs_A;
    scomplex* psi1     = buff_y + (i  )*inc_y;
    scomplex* alpha1   = buff_a + (i  )*inc_a;
    scomplex* u        = buff_u;
    scomplex* w        = buff_w;
 
    /*------------------------------------------------------------*/
 
    bl1_cdots( BLIS1_CONJUGATE,
               m_A,
               buff_1,
               a1, rs_A,
               u,  inc_u,
               buff_beta,
               psi1 );
 
    bl1_ccopyconj( psi1, &conj_psi1 );
    bl1_cmult4( &minus_inv_tau, &conj_psi1, alpha1, alpha1 );
 
    bl1_ccopyconj( alpha1, &conj_alpha1 );
 
    bl1_caxpyv( BLIS1_NO_CONJUGATE,
                m_A,
                &conj_alpha1,
                a1, rs_A,
                w,  inc_w );
/*
    F77_caxpy( &m_A,
               &conj_alpha1,
               a1, &rs_A,
               w,  &inc_w );
*/
 
    /*------------------------------------------------------------*/
 
  }
 
  return FLA_SUCCESS;
}

References alpha1, bl1_caxpyv(), bl1_cdots(), bl1_csetv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, FLA_MINUS_ONE, FLA_ONE, FLA_ZERO, i, and psi1.

Referenced by FLA_Bidiag_UT_u_step_ofc_var3(), FLA_Bidiag_UT_u_step_ofc_var4(), and FLA_Fused_Ahx_Axpy_Ax_opt_var1().

FLA_Fused_Ahx_Axpy_Ax_opd_var1()

FLA_Error FLA_Fused_Ahx_Axpy_Ax_opd_var1	(	int	m_A,
		int	n_A,
		double *	buff_tau,
		double *	buff_beta,
		double *	buff_A,
		int	rs_A,
		int	cs_A,
		double *	buff_u,
		int	inc_u,
		double *	buff_a,
		int	inc_a,
		double *	buff_y,
		int	inc_y,
		double *	buff_w,
		int	inc_w
	)

{
  double    zero      = bl1_d0();
  double    minus_one = bl1_dm1();
  double*   restrict u = buff_u;
  double*   restrict w = buff_w;
  double*   restrict beta = buff_beta;
  double*   restrict a1;
  double*   restrict a2;
  double*   restrict psi1;
  double*   restrict psi2;
  double*   restrict alpha1;
  double*   restrict alpha2;
 
  double    minus_inv_tau;
  int       i;
 
  int       n_run    = n_A / 2;
  int       n_left   = n_A % 2;
  int       stepcs_A  = 2*cs_A;
  int       stepinc_y = 2*inc_y;
  int       stepinc_a = 2*inc_a;
 
 
  bl1_dsetv( m_A,
             &zero,
             buff_w, inc_w );
 
  bl1_ddiv3( &minus_one, buff_tau, &minus_inv_tau );
 
  a1     = buff_A;
  a2     = buff_A + cs_A;
  psi1   = buff_y;
  psi2   = buff_y + inc_y;
  alpha1 = buff_a;
  alpha2 = buff_a + inc_a;
 
  for ( i = 0; i < n_run; ++i )
  {
/*
   Effective computation:
   y = beta * y + A' * u;
   a = a - conj(y) / tau;
   w = A * conj(a);
*/
    /*------------------------------------------------------------*/
 
    bl1_ddotsv2( BLIS1_CONJUGATE,
                 m_A,
                 a1, rs_A,
                 a2, rs_A,
                 u,  inc_u,
                 beta,
                 psi1,
                 psi2 );
 
    bl1_dmult4( &minus_inv_tau, psi1, alpha1, alpha1 );
    bl1_dmult4( &minus_inv_tau, psi2, alpha2, alpha2 );
 
    bl1_daxpyv2b( m_A,
                  alpha1,
                  alpha2,
                  a1, rs_A,
                  a2, rs_A,
                  w,  inc_w );
 
    /*------------------------------------------------------------*/
 
    a1     += stepcs_A;
    a2     += stepcs_A;
    psi1   += stepinc_y;
    psi2   += stepinc_y;
    alpha1 += stepinc_a;
    alpha2 += stepinc_a;
  }
 
  if ( n_left == 1 )
  //for ( i = 0; i < n_left; ++i )
  {
    double   rho1;
 
    bl1_ddot( BLIS1_CONJUGATE,
              m_A,
              a1, rs_A,
              u,  inc_u,
              &rho1 );
    bl1_dscals( buff_beta, psi1 );
    bl1_dadd3( psi1, &rho1, psi1 );
 
    bl1_dmult4( &minus_inv_tau, psi1, alpha1, alpha1 );
 
    bl1_daxpyv( BLIS1_NO_CONJUGATE,
                m_A,
                alpha1,
                a1, rs_A,
                w,  inc_w );
 
    //a1     += cs_A;
    //psi1   += inc_y;
    //alpha1 += inc_a;
  }
 
  return FLA_SUCCESS;
}

References alpha1, alpha2, bl1_d0(), bl1_daxpyv(), bl1_daxpyv2b(), bl1_ddot(), bl1_ddotsv2(), bl1_dm1(), bl1_dsetv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, i, n_left, n_run, psi1, and rho1.

Referenced by FLA_Bidiag_UT_u_step_ofd_var3(), FLA_Bidiag_UT_u_step_ofd_var4(), and FLA_Fused_Ahx_Axpy_Ax_opt_var1().

FLA_Fused_Ahx_Axpy_Ax_ops_var1()

FLA_Error FLA_Fused_Ahx_Axpy_Ax_ops_var1	(	int	m_A,
		int	n_A,
		float *	buff_tau,
		float *	buff_beta,
		float *	buff_A,
		int	rs_A,
		int	cs_A,
		float *	buff_u,
		int	inc_u,
		float *	buff_a,
		int	inc_a,
		float *	buff_y,
		int	inc_y,
		float *	buff_w,
		int	inc_w
	)

{
  float*    buff_1  = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_0  = FLA_FLOAT_PTR( FLA_ZERO );
  float*    buff_m1 = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  float     minus_inv_tau;
  int       i;
 
  bl1_ssetv( m_A,
             buff_0,
             buff_w, inc_w );
 
  minus_inv_tau = *buff_m1 / *buff_tau;
 
  for ( i = 0; i < n_A; ++i )
  {
    float*    a1       = buff_A + (i  )*cs_A + (0  )*rs_A;
    float*    psi1     = buff_y + (i  )*inc_y;
    float*    alpha1   = buff_a + (i  )*inc_a;
    float*    u        = buff_u;
    float*    w        = buff_w;
 
    /*------------------------------------------------------------*/
 
    bl1_sdots( BLIS1_CONJUGATE,
               m_A,
               buff_1,
               a1, rs_A,
               u,  inc_u,
               buff_beta,
               psi1 );
 
    // bl1_dmult4( &minus_inv_tau, conj_psi1, alpha1, alpha1 );
    *alpha1 = *alpha1 + minus_inv_tau * *psi1;
 
    bl1_saxpyv( BLIS1_NO_CONJUGATE,
                m_A,
                alpha1,
                a1, rs_A,
                w,  inc_w );
/*
    F77_saxpy( &m_A,
               alpha1,
               a1, &rs_A,
               w,  &inc_w );
*/
 
    /*------------------------------------------------------------*/
 
  }
 
  return FLA_SUCCESS;
}

References alpha1, bl1_saxpyv(), bl1_sdots(), bl1_ssetv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, FLA_MINUS_ONE, FLA_ONE, FLA_ZERO, i, and psi1.

Referenced by FLA_Bidiag_UT_u_step_ofs_var3(), FLA_Bidiag_UT_u_step_ofs_var4(), and FLA_Fused_Ahx_Axpy_Ax_opt_var1().

FLA_Fused_Ahx_Axpy_Ax_opt_var1()

FLA_Error FLA_Fused_Ahx_Axpy_Ax_opt_var1	(	FLA_Obj	A,
		FLA_Obj	u,
		FLA_Obj	tau,
		FLA_Obj	a,
		FLA_Obj	beta,
		FLA_Obj	y,
		FLA_Obj	w
	)

{
/*
   Effective computation:
   y = beta * y + A' * u;
   a = a - conj(y) / tau;
   w = A * conj(a);
*/
  FLA_Datatype datatype;
  int          m_A, n_A;
  int          rs_A, cs_A;
  int          inc_u, inc_a, inc_y, inc_w;
 
  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_u    = FLA_Obj_vector_inc( u );
 
  inc_a    = FLA_Obj_vector_inc( a );
 
  inc_y    = FLA_Obj_vector_inc( y );
 
  inc_w    = FLA_Obj_vector_inc( w );
  
 
  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A   = FLA_FLOAT_PTR( A );
      float* buff_u   = FLA_FLOAT_PTR( u );
      float* buff_a   = FLA_FLOAT_PTR( a );
      float* buff_y   = FLA_FLOAT_PTR( y );
      float* buff_w   = FLA_FLOAT_PTR( w );
      float* buff_tau = FLA_FLOAT_PTR( tau );
      float* buff_beta = FLA_FLOAT_PTR( beta );
 
      FLA_Fused_Ahx_Axpy_Ax_ops_var1( m_A,
                                      n_A,
                                      buff_tau,
                                      buff_beta,
                                      buff_A, rs_A, cs_A,
                                      buff_u, inc_u,
                                      buff_a, inc_a,
                                      buff_y, inc_y,
                                      buff_w, inc_w );
 
      break;
    }
 
    case FLA_DOUBLE:
    {
      double* buff_A   = FLA_DOUBLE_PTR( A );
      double* buff_u   = FLA_DOUBLE_PTR( u );
      double* buff_a   = FLA_DOUBLE_PTR( a );
      double* buff_y   = FLA_DOUBLE_PTR( y );
      double* buff_w   = FLA_DOUBLE_PTR( w );
      double* buff_tau = FLA_DOUBLE_PTR( tau );
      double* buff_beta = FLA_DOUBLE_PTR( beta );
 
      FLA_Fused_Ahx_Axpy_Ax_opd_var1( m_A,
                                      n_A,
                                      buff_tau,
                                      buff_beta,
                                      buff_A, rs_A, cs_A,
                                      buff_u, inc_u,
                                      buff_a, inc_a,
                                      buff_y, inc_y,
                                      buff_w, inc_w );
 
      break;
    }
 
    case FLA_COMPLEX:
    {
      scomplex* buff_A   = FLA_COMPLEX_PTR( A );
      scomplex* buff_u   = FLA_COMPLEX_PTR( u );
      scomplex* buff_a   = FLA_COMPLEX_PTR( a );
      scomplex* buff_y   = FLA_COMPLEX_PTR( y );
      scomplex* buff_w   = FLA_COMPLEX_PTR( w );
      scomplex* buff_tau = FLA_COMPLEX_PTR( tau );
      scomplex* buff_beta = FLA_COMPLEX_PTR( beta );
 
      FLA_Fused_Ahx_Axpy_Ax_opc_var1( m_A,
                                      n_A,
                                      buff_tau,
                                      buff_beta,
                                      buff_A, rs_A, cs_A,
                                      buff_u, inc_u,
                                      buff_a, inc_a,
                                      buff_y, inc_y,
                                      buff_w, inc_w );
 
      break;
    }
 
    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A   = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_u   = FLA_DOUBLE_COMPLEX_PTR( u );
      dcomplex* buff_a   = FLA_DOUBLE_COMPLEX_PTR( a );
      dcomplex* buff_y   = FLA_DOUBLE_COMPLEX_PTR( y );
      dcomplex* buff_w   = FLA_DOUBLE_COMPLEX_PTR( w );
      dcomplex* buff_tau = FLA_DOUBLE_COMPLEX_PTR( tau );
      dcomplex* buff_beta = FLA_DOUBLE_COMPLEX_PTR( beta );
 
      FLA_Fused_Ahx_Axpy_Ax_opz_var1( m_A,
                                      n_A,
                                      buff_tau,
                                      buff_beta,
                                      buff_A, rs_A, cs_A,
                                      buff_u, inc_u,
                                      buff_a, inc_a,
                                      buff_y, inc_y,
                                      buff_w, inc_w );
 
      break;
    }
  }
 
  return FLA_SUCCESS;
}

References FLA_Fused_Ahx_Axpy_Ax_opc_var1(), FLA_Fused_Ahx_Axpy_Ax_opd_var1(), FLA_Fused_Ahx_Axpy_Ax_ops_var1(), FLA_Fused_Ahx_Axpy_Ax_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), FLA_Obj_width(), and i.

FLA_Fused_Ahx_Axpy_Ax_opz_var1()

FLA_Error FLA_Fused_Ahx_Axpy_Ax_opz_var1	(	int	m_A,
		int	n_A,
		dcomplex *	buff_tau,
		dcomplex *	buff_beta,
		dcomplex *	buff_A,
		int	rs_A,
		int	cs_A,
		dcomplex *	buff_u,
		int	inc_u,
		dcomplex *	buff_a,
		int	inc_a,
		dcomplex *	buff_y,
		int	inc_y,
		dcomplex *	buff_w,
		int	inc_w
	)

{
  dcomplex  zero      = bl1_z0();
  dcomplex  minus_one = bl1_zm1();
  dcomplex* restrict u = buff_u;
  dcomplex* restrict w = buff_w;
  dcomplex* restrict beta = buff_beta;
  dcomplex* restrict a1;
  dcomplex* restrict a2;
  dcomplex* restrict psi1;
  dcomplex* restrict psi2;
  dcomplex* restrict alpha1;
  dcomplex* restrict alpha2;
 
  dcomplex  minus_inv_tau;
  dcomplex  conj_psi1;
  dcomplex  conj_psi2;
  dcomplex  conj_alpha1;
  dcomplex  conj_alpha2;
  int       i;
  int       n_run    = n_A / 2;
  int       n_left   = n_A % 2;
  int       twocs_A  = 2*cs_A;
  int       twoinc_y = 2*inc_y;
  int       twoinc_a = 2*inc_a;
 
 
  bl1_zsetv( m_A,
             &zero,
             buff_w, inc_w );
 
  bl1_zdiv3( &minus_one, buff_tau, &minus_inv_tau );
 
  a1     = buff_A;
  a2     = buff_A + cs_A;
  psi1   = buff_y;
  psi2   = buff_y + inc_y;
  alpha1 = buff_a;
  alpha2 = buff_a + inc_a;
 
  for ( i = 0; i < n_run; ++i )
  {
/*
   Effective computation:
   y = beta * y + A' * u;
   a = a - conj(y) / tau;
   w = A * conj(a);
*/
    /*------------------------------------------------------------*/
 
    bl1_zdotsv2( BLIS1_CONJUGATE,
                 m_A,
                 a1, rs_A,
                 a2, rs_A,
                 u,  inc_u,
                 beta,
                 psi1,
                 psi2 );
 
    bl1_zcopyconj( psi1, &conj_psi1 );
    bl1_zcopyconj( psi2, &conj_psi2 );
    bl1_zmult4( &minus_inv_tau, &conj_psi1, alpha1, alpha1 );
    bl1_zmult4( &minus_inv_tau, &conj_psi2, alpha2, alpha2 );
    bl1_zcopyconj( alpha1, &conj_alpha1 );
    bl1_zcopyconj( alpha2, &conj_alpha2 );
 
    bl1_zaxpyv2b( m_A,
                  &conj_alpha1,
                  &conj_alpha2,
                  a1, rs_A,
                  a2, rs_A,
                  w,  inc_w );
 
    /*------------------------------------------------------------*/
 
    a1     += twocs_A;
    a2     += twocs_A;
    psi1   += twoinc_y;
    psi2   += twoinc_y;
    alpha1 += twoinc_a;
    alpha2 += twoinc_a;
  }
 
  if ( n_left == 1 )
  {
    dcomplex rho1;
 
    bl1_zdot( BLIS1_CONJUGATE,
              m_A,
              a1, rs_A,
              u,  inc_u,
              &rho1 );
    bl1_zscals( buff_beta, psi1 );
    bl1_zadd3( psi1, &rho1, psi1 );
 
    bl1_zcopyconj( psi1, &conj_psi1 );
    bl1_zmult4( &minus_inv_tau, &conj_psi1, alpha1, alpha1 );
    bl1_zcopyconj( alpha1, &conj_alpha1 );
 
    bl1_zaxpyv( BLIS1_NO_CONJUGATE,
                m_A,
                &conj_alpha1,
                a1, rs_A,
                w,  inc_w );
  }
 
  return FLA_SUCCESS;
}

References alpha1, alpha2, bl1_z0(), bl1_zaxpyv(), bl1_zaxpyv2b(), bl1_zdot(), bl1_zdotsv2(), bl1_zm1(), bl1_zscals(), bl1_zsetv(), BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, i, n_left, n_run, psi1, rho1, and twoinc_y.

Referenced by FLA_Bidiag_UT_u_step_ofz_var3(), FLA_Bidiag_UT_u_step_ofz_var4(), and FLA_Fused_Ahx_Axpy_Ax_opt_var1().