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Functions
FLA_Hess_UT_fus_var4.c File Reference

(r)

Functions

FLA_Error FLA_Hess_UT_ofu_var4 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Hess_UT_step_ofu_var4 (FLA_Obj A, FLA_Obj Y, FLA_Obj Z, FLA_Obj T)
FLA_Error FLA_Hess_UT_step_ofs_var4 (int m_A, int m_T, float *buff_A, int rs_A, int cs_A, float *buff_Y, int rs_Y, int cs_Y, float *buff_Z, int rs_Z, int cs_Z, float *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Hess_UT_step_ofd_var4 (int m_A, int m_T, double *buff_A, int rs_A, int cs_A, double *buff_Y, int rs_Y, int cs_Y, double *buff_Z, int rs_Z, int cs_Z, double *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Hess_UT_step_ofc_var4 (int m_A, int m_T, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_Y, int rs_Y, int cs_Y, scomplex *buff_Z, int rs_Z, int cs_Z, scomplex *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Hess_UT_step_ofz_var4 (int m_A, int m_T, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_Y, int rs_Y, int cs_Y, dcomplex *buff_Z, int rs_Z, int cs_Z, dcomplex *buff_T, int rs_T, int cs_T)

Function Documentation

References FLA_Hess_UT_step_ofu_var4(), FLA_Obj_create_conf_to(), and FLA_Obj_free().

{
  FLA_Error r_val;
  FLA_Obj   Y, Z;

  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &Y );
  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &Z );

  r_val = FLA_Hess_UT_step_ofu_var4( A, Y, Z, T );

  FLA_Obj_free( &Y );
  FLA_Obj_free( &Z );

  return r_val;
}
FLA_Error FLA_Hess_UT_step_ofc_var4 ( int  m_A,
int  m_T,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_Y,
int  rs_Y,
int  cs_Y,
scomplex buff_Z,
int  rs_Z,
int  cs_Z,
scomplex buff_T,
int  rs_T,
int  cs_T 
)

References bli_caxpyv(), bli_cdot(), bli_cgemv(), bli_cger(), bli_cscalv(), bli_csetm(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, FLA_free(), FLA_Fused_Ahx_Ax_opc_var1(), FLA_Fused_Uhu_Yhu_Zhu_opc_var1(), FLA_Househ2_UT_l_opc(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Hess_UT_step_ofu_var4().

{
  scomplex* buff_2  = FLA_COMPLEX_PTR( FLA_TWO );
  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  first_elem, last_elem;
  scomplex  dot_product;
  scomplex  beta, conj_beta;
  scomplex  inv_tau11;
  scomplex  minus_inv_tau11;
  int       i;

  // b_alg = FLA_Obj_length( T );
  int       b_alg = m_T;

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &d );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &e );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &f );
  scomplex* buff_e = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_e  = 1;

  // FLA_Set( FLA_ZERO, Y );
  // FLA_Set( FLA_ZERO, Z );
  bli_csetm( m_A,
             b_alg,
             buff_0,
             buff_Y, rs_Y, cs_Y );
  bli_csetm( m_A,
             b_alg,
             buff_0,
             buff_Z, rs_Z, cs_Z );

  for ( i = 0; i < b_alg; ++i )
  {
    scomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    scomplex* A20      = buff_A + (0  )*cs_A + (i+1)*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;
    scomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    scomplex* y10t     = buff_Y + (0  )*cs_Y + (i  )*rs_Y;
    scomplex* Y20      = buff_Y + (0  )*cs_Y + (i+1)*rs_Y;
    scomplex* y21      = buff_Y + (i  )*cs_Y + (i+1)*rs_Y;

    scomplex* z10t     = buff_Z + (0  )*cs_Z + (i  )*rs_Z;
    scomplex* Z20      = buff_Z + (0  )*cs_Z + (i+1)*rs_Z;
    scomplex* z21      = buff_Z + (i  )*cs_Z + (i+1)*rs_Z;

    scomplex* t01      = buff_T + (i  )*cs_T + (0  )*rs_T;
    scomplex* tau11    = buff_T + (i  )*cs_T + (i  )*rs_T;

    scomplex* e0       = buff_e + (0  )*inc_e;

    scomplex* a10t_r   = a10t   + (i-1)*cs_A + (0  )*rs_A;

    scomplex* a21_t    = a21    + (0  )*cs_A + (0  )*rs_A;
    scomplex* a21_b    = a21    + (0  )*cs_A + (1  )*rs_A;

    scomplex* ABL      = a10t;
    scomplex* ZBL      = z10t;

    scomplex* a2       = alpha11;

    int       m_ahead  = m_A - i - 1;
    int       n_ahead  = m_A - i - 1;
    int       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( a10t_r, last_elem );
      // FLA_Set( FLA_ONE, a10t_r );
      last_elem = *a10t_r;
      *a10t_r = *buff_1;
    }

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, y10t, FLA_ONE, a2 );
    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ZBL, a10t, FLA_ONE, a2 );
    bli_cgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead + 1,
               n_behind,
               buff_m1,
               ABL,  rs_A, cs_A,
               y10t, cs_Y,
               buff_1,
               a2,   rs_A );
    bli_cgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead + 1,
               n_behind,
               buff_m1,
               ZBL,  rs_Z, cs_Z,
               a10t, cs_A,
               buff_1,
               a2,   rs_A );

    // FLA_Gemv( FLA_CONJ_NO_TRANSPOSE, FLA_MINUS_ONE, Y20, a10t, FLA_ONE, a12t );
    // FLA_Gemv( FLA_CONJ_NO_TRANSPOSE, FLA_MINUS_ONE, A20, z10t, FLA_ONE, a12t );
    bli_cgemv( BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               n_behind,
               buff_m1,
               Y20,  rs_Y, cs_Y,
               a10t, cs_A,
               buff_1,
               a12t, cs_A );
    bli_cgemv( BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               n_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               z10t, cs_Z,
               buff_1,
               a12t, cs_A );

    if ( m_behind > 0 )
    {
      // FLA_Copy( last_elem, a10t_r );
      *a10t_r = last_elem;
    }

    if ( m_ahead > 0 )
    {
      // FLA_Househ2_UT( FLA_LEFT,
      //                 a21_t,
      //                 a21_b, tau11 );
      FLA_Househ2_UT_l_opc( m_ahead - 1,
                            a21_t,
                            a21_b, rs_A,
                            tau11 );

      // FLA_Set( FLA_ONE, inv_tau11 );
      // FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 );
      // FLA_Copy( inv_tau11, minus_inv_tau11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 );
      bli_cdiv3( buff_1, tau11, &inv_tau11 );
      bli_cneg2( &inv_tau11, &minus_inv_tau11 );

      // FLA_Copy( a21_t, first_elem );
      // FLA_Set( FLA_ONE, a21_t );
      first_elem = *a21_t;
      *a21_t = *buff_1;

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A22, a21, FLA_ZERO, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_ONE, A22, a21, FLA_ZERO, z21 );
      FLA_Fused_Ahx_Ax_opc_var1( m_ahead,
                                 n_ahead,
                                 A22, rs_A, cs_A,
                                 a21, rs_A,
                                 y21, rs_Y,
                                 z21, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d0 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Y20, a21, FLA_ZERO, e0 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f0 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Y20, d0, FLA_ONE, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f0, FLA_ONE, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, e0, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d0, FLA_ONE, z21 );
      // FLA_Copy( d0, t01 );
      FLA_Fused_Uhu_Yhu_Zhu_opc_var1( m_ahead,
                                      n_behind,
                                      buff_m1,
                                      A20, rs_A, cs_A,
                                      Y20, rs_Y, cs_Y,
                                      Z20, rs_Z, cs_Z,
                                      t01, rs_T,
                                      a21, rs_A,
                                      y21, rs_Y,
                                      z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, beta, conj_beta );
      bli_cdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_Z,
                &beta );
      bli_cinvscals( buff_2, &beta );
      bli_ccopyconj( &beta, &conj_beta );

      // FLA_Scal( minus_inv_tau11, conj_beta );
      // FLA_Axpy( conj_beta, a21, y21 );
      // FLA_Scal( inv_tau11, y21 );
      bli_cscals( &minus_inv_tau11, &conj_beta );
      bli_caxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &conj_beta,
                  a21, rs_A,
                  y21, rs_Y );
      bli_cscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  y21, rs_Y );

      // FLA_Scal( minus_inv_tau11, beta );
      // FLA_Axpy( beta, a21, z21 );
      // FLA_Scal( inv_tau11, z21 );
      bli_cscals( &minus_inv_tau11, &beta );
      bli_caxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &beta,
                  a21, rs_A,
                  z21, rs_Z );
      bli_cscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // FLA_Dot( a12t, a21, dot_product );
      // FLA_Scal( minus_inv_tau11, dot_product );
      // FLA_Axpyt( FLA_CONJ_TRANSPOSE, dot_product, a21, a12t );
      bli_cdot( BLIS_NO_CONJUGATE,
                m_ahead,
                a12t, cs_A,
                a21,  rs_A,
                &dot_product );
      bli_cscals( &minus_inv_tau11, &dot_product );
      bli_caxpyv( BLIS_CONJUGATE,
                  m_ahead,
                  &dot_product,
                  a21,  rs_A,
                  a12t, cs_A );

      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_ONE, A02, a21, FLA_ZERO, e0 );
      // FLA_Gerc( FLA_NO_CONJUGATE, FLA_CONJUGATE, minus_inv_tau11, e0, a21, A02 );
      bli_cgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_behind,
                 n_ahead,
                 buff_1,
                 A02, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 e0,  inc_e );
      bli_cger( BLIS_NO_CONJUGATE,
                BLIS_CONJUGATE,
                m_behind,
                n_ahead,
                &minus_inv_tau11,
                e0,  inc_e,
                a21, rs_A,
                A02, rs_A, cs_A );

      // FLA_Copy( first_elem, a21_t );
      *a21_t = first_elem;
    }

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

  }

  // FLA_Obj_free( &e );
  FLA_free( buff_e );

  return FLA_SUCCESS;
}
FLA_Error FLA_Hess_UT_step_ofd_var4 ( int  m_A,
int  m_T,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_Y,
int  rs_Y,
int  cs_Y,
double *  buff_Z,
int  rs_Z,
int  cs_Z,
double *  buff_T,
int  rs_T,
int  cs_T 
)

References bli_daxpyv(), bli_ddot(), bli_dgemv(), bli_dger(), bli_dscalv(), bli_dsetm(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, FLA_free(), FLA_Fused_Ahx_Ax_opd_var1(), FLA_Fused_Uhu_Yhu_Zhu_opd_var1(), FLA_Househ2_UT_l_opd(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Hess_UT_step_ofu_var4().

{
  double*   buff_2  = FLA_DOUBLE_PTR( FLA_TWO );
  double*   buff_1  = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_0  = FLA_DOUBLE_PTR( FLA_ZERO );
  double*   buff_m1 = FLA_DOUBLE_PTR( FLA_MINUS_ONE );

  double    first_elem, last_elem;
  double    dot_product;
  double    beta, conj_beta;
  double    inv_tau11;
  double    minus_inv_tau11;
  int       i;

  // b_alg = FLA_Obj_length( T );
  int       b_alg = m_T;

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &d );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &e );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &f );
  double*   buff_e = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_e  = 1;

  // FLA_Set( FLA_ZERO, Y );
  // FLA_Set( FLA_ZERO, Z );
  bli_dsetm( m_A,
             b_alg,
             buff_0,
             buff_Y, rs_Y, cs_Y );
  bli_dsetm( m_A,
             b_alg,
             buff_0,
             buff_Z, rs_Z, cs_Z );

  for ( i = 0; i < b_alg; ++i )
  {
    double*   a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    double*   A20      = buff_A + (0  )*cs_A + (i+1)*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;
    double*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    double*   y10t     = buff_Y + (0  )*cs_Y + (i  )*rs_Y;
    double*   Y20      = buff_Y + (0  )*cs_Y + (i+1)*rs_Y;
    double*   y21      = buff_Y + (i  )*cs_Y + (i+1)*rs_Y;

    double*   z10t     = buff_Z + (0  )*cs_Z + (i  )*rs_Z;
    double*   Z20      = buff_Z + (0  )*cs_Z + (i+1)*rs_Z;
    double*   z21      = buff_Z + (i  )*cs_Z + (i+1)*rs_Z;

    double*   t01      = buff_T + (i  )*cs_T + (0  )*rs_T;
    double*   tau11    = buff_T + (i  )*cs_T + (i  )*rs_T;

    double*   e0       = buff_e + (0  )*inc_e;

    double*   a10t_r   = a10t   + (i-1)*cs_A + (0  )*rs_A;

    double*   a21_t    = a21    + (0  )*cs_A + (0  )*rs_A;
    double*   a21_b    = a21    + (0  )*cs_A + (1  )*rs_A;

    double*   ABL      = a10t;
    double*   ZBL      = z10t;

    double*   a2       = alpha11;

    int       m_ahead  = m_A - i - 1;
    int       n_ahead  = m_A - i - 1;
    int       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( a10t_r, last_elem );
      // FLA_Set( FLA_ONE, a10t_r );
      last_elem = *a10t_r;
      *a10t_r = *buff_1;
    }

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, y10t, FLA_ONE, a2 );
    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ZBL, a10t, FLA_ONE, a2 );
    bli_dgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead + 1,
               n_behind,
               buff_m1,
               ABL,  rs_A, cs_A,
               y10t, cs_Y,
               buff_1,
               a2,   rs_A );
    bli_dgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead + 1,
               n_behind,
               buff_m1,
               ZBL,  rs_Z, cs_Z,
               a10t, cs_A,
               buff_1,
               a2,   rs_A );

    // FLA_Gemv( FLA_CONJ_NO_TRANSPOSE, FLA_MINUS_ONE, Y20, a10t, FLA_ONE, a12t );
    // FLA_Gemv( FLA_CONJ_NO_TRANSPOSE, FLA_MINUS_ONE, A20, z10t, FLA_ONE, a12t );
    bli_dgemv( BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               n_behind,
               buff_m1,
               Y20,  rs_Y, cs_Y,
               a10t, cs_A,
               buff_1,
               a12t, cs_A );
    bli_dgemv( BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               n_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               z10t, cs_Z,
               buff_1,
               a12t, cs_A );

    if ( m_behind > 0 )
    {
      // FLA_Copy( last_elem, a10t_r );
      *a10t_r = last_elem;
    }

    if ( m_ahead > 0 )
    {
      // FLA_Househ2_UT( FLA_LEFT,
      //                 a21_t,
      //                 a21_b, tau11 );
      FLA_Househ2_UT_l_opd( m_ahead - 1,
                            a21_t,
                            a21_b, rs_A,
                            tau11 );

      // FLA_Set( FLA_ONE, inv_tau11 );
      // FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 );
      // FLA_Copy( inv_tau11, minus_inv_tau11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 );
      bli_ddiv3( buff_1, tau11, &inv_tau11 );
      bli_dneg2( &inv_tau11, &minus_inv_tau11 );

      // FLA_Copy( a21_t, first_elem );
      // FLA_Set( FLA_ONE, a21_t );
      first_elem = *a21_t;
      *a21_t = *buff_1;

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A22, a21, FLA_ZERO, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_ONE, A22, a21, FLA_ZERO, z21 );
      FLA_Fused_Ahx_Ax_opd_var1( m_ahead,
                                 n_ahead,
                                 A22, rs_A, cs_A,
                                 a21, rs_A,
                                 y21, rs_Y,
                                 z21, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d0 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Y20, a21, FLA_ZERO, e0 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f0 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Y20, d0, FLA_ONE, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f0, FLA_ONE, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, e0, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d0, FLA_ONE, z21 );
      // FLA_Copy( d0, t01 );
      FLA_Fused_Uhu_Yhu_Zhu_opd_var1( m_ahead,
                                      n_behind,
                                      buff_m1,
                                      A20, rs_A, cs_A,
                                      Y20, rs_Y, cs_Y,
                                      Z20, rs_Z, cs_Z,
                                      t01, rs_T,
                                      a21, rs_A,
                                      y21, rs_Y,
                                      z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, beta, conj_beta );
      bli_ddot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_Z,
                &beta );
      bli_dinvscals( buff_2, &beta );
      bli_dcopyconj( &beta, &conj_beta );

      // FLA_Scal( minus_inv_tau11, conj_beta );
      // FLA_Axpy( conj_beta, a21, y21 );
      // FLA_Scal( inv_tau11, y21 );
      bli_dscals( &minus_inv_tau11, &conj_beta );
      bli_daxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &conj_beta,
                  a21, rs_A,
                  y21, rs_Y );
      bli_dscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  y21, rs_Y );

      // FLA_Scal( minus_inv_tau11, beta );
      // FLA_Axpy( beta, a21, z21 );
      // FLA_Scal( inv_tau11, z21 );
      bli_dscals( &minus_inv_tau11, &beta );
      bli_daxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &beta,
                  a21, rs_A,
                  z21, rs_Z );
      bli_dscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // FLA_Dot( a12t, a21, dot_product );
      // FLA_Scal( minus_inv_tau11, dot_product );
      // FLA_Axpyt( FLA_CONJ_TRANSPOSE, dot_product, a21, a12t );
      bli_ddot( BLIS_NO_CONJUGATE,
                m_ahead,
                a12t, cs_A,
                a21,  rs_A,
                &dot_product );
      bli_dscals( &minus_inv_tau11, &dot_product );
      bli_daxpyv( BLIS_CONJUGATE,
                  m_ahead,
                  &dot_product,
                  a21,  rs_A,
                  a12t, cs_A );

      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_ONE, A02, a21, FLA_ZERO, e0 );
      // FLA_Gerc( FLA_NO_CONJUGATE, FLA_CONJUGATE, minus_inv_tau11, e0, a21, A02 );
      bli_dgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_behind,
                 n_ahead,
                 buff_1,
                 A02, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 e0,  inc_e );
      bli_dger( BLIS_NO_CONJUGATE,
                BLIS_CONJUGATE,
                m_behind,
                n_ahead,
                &minus_inv_tau11,
                e0,  inc_e,
                a21, rs_A,
                A02, rs_A, cs_A );

      // FLA_Copy( first_elem, a21_t );
      *a21_t = first_elem;
    }

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

  }

  // FLA_Obj_free( &e );
  FLA_free( buff_e );

  return FLA_SUCCESS;
}
FLA_Error FLA_Hess_UT_step_ofs_var4 ( int  m_A,
int  m_T,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_Y,
int  rs_Y,
int  cs_Y,
float *  buff_Z,
int  rs_Z,
int  cs_Z,
float *  buff_T,
int  rs_T,
int  cs_T 
)

References bli_saxpyv(), bli_sdot(), bli_sgemv(), bli_sger(), bli_sscalv(), bli_ssetm(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, FLA_free(), FLA_Fused_Ahx_Ax_ops_var1(), FLA_Fused_Uhu_Yhu_Zhu_ops_var1(), FLA_Househ2_UT_l_ops(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Hess_UT_step_ofu_var4().

{
  float*    buff_2  = FLA_FLOAT_PTR( FLA_TWO );
  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     first_elem, last_elem;
  float     dot_product;
  float     beta, conj_beta;
  float     inv_tau11;
  float     minus_inv_tau11;
  int       i;

  // b_alg = FLA_Obj_length( T );
  int       b_alg = m_T;

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &d );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &e );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &f );
  float*    buff_e = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_e  = 1;

  // FLA_Set( FLA_ZERO, Y );
  // FLA_Set( FLA_ZERO, Z );
  bli_ssetm( m_A,
             b_alg,
             buff_0,
             buff_Y, rs_Y, cs_Y );
  bli_ssetm( m_A,
             b_alg,
             buff_0,
             buff_Z, rs_Z, cs_Z );

  for ( i = 0; i < b_alg; ++i )
  {
    float*    a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    float*    A20      = buff_A + (0  )*cs_A + (i+1)*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;
    float*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    float*    y10t     = buff_Y + (0  )*cs_Y + (i  )*rs_Y;
    float*    Y20      = buff_Y + (0  )*cs_Y + (i+1)*rs_Y;
    float*    y21      = buff_Y + (i  )*cs_Y + (i+1)*rs_Y;

    float*    z10t     = buff_Z + (0  )*cs_Z + (i  )*rs_Z;
    float*    Z20      = buff_Z + (0  )*cs_Z + (i+1)*rs_Z;
    float*    z21      = buff_Z + (i  )*cs_Z + (i+1)*rs_Z;

    float*    t01      = buff_T + (i  )*cs_T + (0  )*rs_T;
    float*    tau11    = buff_T + (i  )*cs_T + (i  )*rs_T;

    float*    e0       = buff_e + (0  )*inc_e;

    float*    a10t_r   = a10t   + (i-1)*cs_A + (0  )*rs_A;

    float*    a21_t    = a21    + (0  )*cs_A + (0  )*rs_A;
    float*    a21_b    = a21    + (0  )*cs_A + (1  )*rs_A;

    float*    ABL      = a10t;
    float*    ZBL      = z10t;

    float*    a2       = alpha11;

    int       m_ahead  = m_A - i - 1;
    int       n_ahead  = m_A - i - 1;
    int       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( a10t_r, last_elem );
      // FLA_Set( FLA_ONE, a10t_r );
      last_elem = *a10t_r;
      *a10t_r = *buff_1;
    }

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, y10t, FLA_ONE, a2 );
    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ZBL, a10t, FLA_ONE, a2 );
    bli_sgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead + 1,
               n_behind,
               buff_m1,
               ABL,  rs_A, cs_A,
               y10t, cs_Y,
               buff_1,
               a2,   rs_A );
    bli_sgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead + 1,
               n_behind,
               buff_m1,
               ZBL,  rs_Z, cs_Z,
               a10t, cs_A,
               buff_1,
               a2,   rs_A );

    // FLA_Gemv( FLA_CONJ_NO_TRANSPOSE, FLA_MINUS_ONE, Y20, a10t, FLA_ONE, a12t );
    // FLA_Gemv( FLA_CONJ_NO_TRANSPOSE, FLA_MINUS_ONE, A20, z10t, FLA_ONE, a12t );
    bli_sgemv( BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               n_behind,
               buff_m1,
               Y20,  rs_Y, cs_Y,
               a10t, cs_A,
               buff_1,
               a12t, cs_A );
    bli_sgemv( BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               n_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               z10t, cs_Z,
               buff_1,
               a12t, cs_A );

    if ( m_behind > 0 )
    {
      // FLA_Copy( last_elem, a10t_r );
      *a10t_r = last_elem;
    }

    if ( m_ahead > 0 )
    {
      // FLA_Househ2_UT( FLA_LEFT,
      //                 a21_t,
      //                 a21_b, tau11 );
      FLA_Househ2_UT_l_ops( m_ahead - 1,
                            a21_t,
                            a21_b, rs_A,
                            tau11 );

      // FLA_Set( FLA_ONE, inv_tau11 );
      // FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 );
      // FLA_Copy( inv_tau11, minus_inv_tau11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 );
      bli_sdiv3( buff_1, tau11, &inv_tau11 );
      bli_sneg2( &inv_tau11, &minus_inv_tau11 );

      // FLA_Copy( a21_t, first_elem );
      // FLA_Set( FLA_ONE, a21_t );
      first_elem = *a21_t;
      *a21_t = *buff_1;

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A22, a21, FLA_ZERO, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_ONE, A22, a21, FLA_ZERO, z21 );
      FLA_Fused_Ahx_Ax_ops_var1( m_ahead,
                                 n_ahead,
                                 A22, rs_A, cs_A,
                                 a21, rs_A,
                                 y21, rs_Y,
                                 z21, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d0 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Y20, a21, FLA_ZERO, e0 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f0 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Y20, d0, FLA_ONE, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f0, FLA_ONE, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, e0, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d0, FLA_ONE, z21 );
      // FLA_Copy( d0, t01 );
      FLA_Fused_Uhu_Yhu_Zhu_ops_var1( m_ahead,
                                      n_behind,
                                      buff_m1,
                                      A20, rs_A, cs_A,
                                      Y20, rs_Y, cs_Y,
                                      Z20, rs_Z, cs_Z,
                                      t01, rs_T,
                                      a21, rs_A,
                                      y21, rs_Y,
                                      z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, beta, conj_beta );
      bli_sdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_Z,
                &beta );
      bli_sinvscals( buff_2, &beta );
      bli_scopyconj( &beta, &conj_beta );

      // FLA_Scal( minus_inv_tau11, conj_beta );
      // FLA_Axpy( conj_beta, a21, y21 );
      // FLA_Scal( inv_tau11, y21 );
      bli_sscals( &minus_inv_tau11, &conj_beta );
      bli_saxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &conj_beta,
                  a21, rs_A,
                  y21, rs_Y );
      bli_sscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  y21, rs_Y );

      // FLA_Scal( minus_inv_tau11, beta );
      // FLA_Axpy( beta, a21, z21 );
      // FLA_Scal( inv_tau11, z21 );
      bli_sscals( &minus_inv_tau11, &beta );
      bli_saxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &beta,
                  a21, rs_A,
                  z21, rs_Z );
      bli_sscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // FLA_Dot( a12t, a21, dot_product );
      // FLA_Scal( minus_inv_tau11, dot_product );
      // FLA_Axpyt( FLA_CONJ_TRANSPOSE, dot_product, a21, a12t );
      bli_sdot( BLIS_NO_CONJUGATE,
                m_ahead,
                a12t, cs_A,
                a21,  rs_A,
                &dot_product );
      bli_sscals( &minus_inv_tau11, &dot_product );
      bli_saxpyv( BLIS_CONJUGATE,
                  m_ahead,
                  &dot_product,
                  a21,  rs_A,
                  a12t, cs_A );

      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_ONE, A02, a21, FLA_ZERO, e0 );
      // FLA_Gerc( FLA_NO_CONJUGATE, FLA_CONJUGATE, minus_inv_tau11, e0, a21, A02 );
      bli_sgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_behind,
                 n_ahead,
                 buff_1,
                 A02, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 e0,  inc_e );
      bli_sger( BLIS_NO_CONJUGATE,
                BLIS_CONJUGATE,
                m_behind,
                n_ahead,
                &minus_inv_tau11,
                e0,  inc_e,
                a21, rs_A,
                A02, rs_A, cs_A );

      // FLA_Copy( first_elem, a21_t );
      *a21_t = first_elem;
    }

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

  }

  // FLA_Obj_free( &e );
  FLA_free( buff_e );

  return FLA_SUCCESS;
}

References FLA_Hess_UT_step_ofc_var4(), FLA_Hess_UT_step_ofd_var4(), FLA_Hess_UT_step_ofs_var4(), FLA_Hess_UT_step_ofz_var4(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), and FLA_Obj_row_stride().

Referenced by FLA_Hess_UT_blf_var4(), and FLA_Hess_UT_ofu_var4().

{
  FLA_Datatype datatype;
  int          m_A, m_T;
  int          rs_A, cs_A;
  int          rs_Y, cs_Y;
  int          rs_Z, cs_Z;
  int          rs_T, cs_T;

  datatype = FLA_Obj_datatype( A );

  m_A      = FLA_Obj_length( A );
  m_T      = FLA_Obj_length( T );

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

  rs_Y     = FLA_Obj_row_stride( Y );
  cs_Y     = FLA_Obj_col_stride( Y );

  rs_Z     = FLA_Obj_row_stride( Z );
  cs_Z     = FLA_Obj_col_stride( Z );

  rs_T     = FLA_Obj_row_stride( T );
  cs_T     = FLA_Obj_col_stride( T );
  

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A = FLA_FLOAT_PTR( A );
      float* buff_Y = FLA_FLOAT_PTR( Y );
      float* buff_Z = FLA_FLOAT_PTR( Z );
      float* buff_T = FLA_FLOAT_PTR( T );

      FLA_Hess_UT_step_ofs_var4( m_A,
                                 m_T,
                                 buff_A, rs_A, cs_A,
                                 buff_Y, rs_Y, cs_Y,
                                 buff_Z, rs_Z, cs_Z,
                                 buff_T, rs_T, cs_T );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_Y = FLA_DOUBLE_PTR( Y );
      double* buff_Z = FLA_DOUBLE_PTR( Z );
      double* buff_T = FLA_DOUBLE_PTR( T );

      FLA_Hess_UT_step_ofd_var4( m_A,
                                 m_T,
                                 buff_A, rs_A, cs_A,
                                 buff_Y, rs_Y, cs_Y,
                                 buff_Z, rs_Z, cs_Z,
                                 buff_T, rs_T, cs_T );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_Y = FLA_COMPLEX_PTR( Y );
      scomplex* buff_Z = FLA_COMPLEX_PTR( Z );
      scomplex* buff_T = FLA_COMPLEX_PTR( T );

      FLA_Hess_UT_step_ofc_var4( m_A,
                                 m_T,
                                 buff_A, rs_A, cs_A,
                                 buff_Y, rs_Y, cs_Y,
                                 buff_Z, rs_Z, cs_Z,
                                 buff_T, rs_T, cs_T );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_Y = FLA_DOUBLE_COMPLEX_PTR( Y );
      dcomplex* buff_Z = FLA_DOUBLE_COMPLEX_PTR( Z );
      dcomplex* buff_T = FLA_DOUBLE_COMPLEX_PTR( T );

      FLA_Hess_UT_step_ofz_var4( m_A,
                                 m_T,
                                 buff_A, rs_A, cs_A,
                                 buff_Y, rs_Y, cs_Y,
                                 buff_Z, rs_Z, cs_Z,
                                 buff_T, rs_T, cs_T );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Hess_UT_step_ofz_var4 ( int  m_A,
int  m_T,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_Y,
int  rs_Y,
int  cs_Y,
dcomplex buff_Z,
int  rs_Z,
int  cs_Z,
dcomplex buff_T,
int  rs_T,
int  cs_T 
)

References bli_zaxpyv(), bli_zdot(), bli_zgemv(), bli_zger(), bli_zscalv(), bli_zsetm(), BLIS_CONJ_NO_TRANSPOSE, BLIS_CONJUGATE, BLIS_NO_CONJUGATE, BLIS_NO_TRANSPOSE, FLA_free(), FLA_Fused_Ahx_Ax_opz_var1(), FLA_Fused_Uhu_Yhu_Zhu_opz_var1(), FLA_Househ2_UT_l_opz(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Hess_UT_step_ofu_var4().

{
  dcomplex* buff_2  = FLA_DOUBLE_COMPLEX_PTR( FLA_TWO );
  dcomplex* buff_1  = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_0  = FLA_DOUBLE_COMPLEX_PTR( FLA_ZERO );
  dcomplex* buff_m1 = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );

  dcomplex  first_elem, last_elem;
  dcomplex  dot_product;
  dcomplex  beta, conj_beta;
  dcomplex  inv_tau11;
  dcomplex  minus_inv_tau11;
  int       i;

  // b_alg = FLA_Obj_length( T );
  int       b_alg = m_T;

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &d );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &e );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &f );
  dcomplex* buff_e = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_e  = 1;

  // FLA_Set( FLA_ZERO, Y );
  // FLA_Set( FLA_ZERO, Z );
  bli_zsetm( m_A,
             b_alg,
             buff_0,
             buff_Y, rs_Y, cs_Y );
  bli_zsetm( m_A,
             b_alg,
             buff_0,
             buff_Z, rs_Z, cs_Z );

  for ( i = 0; i < b_alg; ++i )
  {
    dcomplex* a10t     = buff_A + (0  )*cs_A + (i  )*rs_A;
    dcomplex* A20      = buff_A + (0  )*cs_A + (i+1)*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;
    dcomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    dcomplex* y10t     = buff_Y + (0  )*cs_Y + (i  )*rs_Y;
    dcomplex* Y20      = buff_Y + (0  )*cs_Y + (i+1)*rs_Y;
    dcomplex* y21      = buff_Y + (i  )*cs_Y + (i+1)*rs_Y;

    dcomplex* z10t     = buff_Z + (0  )*cs_Z + (i  )*rs_Z;
    dcomplex* Z20      = buff_Z + (0  )*cs_Z + (i+1)*rs_Z;
    dcomplex* z21      = buff_Z + (i  )*cs_Z + (i+1)*rs_Z;

    dcomplex* t01      = buff_T + (i  )*cs_T + (0  )*rs_T;
    dcomplex* tau11    = buff_T + (i  )*cs_T + (i  )*rs_T;

    dcomplex* e0       = buff_e + (0  )*inc_e;

    dcomplex* a10t_r   = a10t   + (i-1)*cs_A + (0  )*rs_A;

    dcomplex* a21_t    = a21    + (0  )*cs_A + (0  )*rs_A;
    dcomplex* a21_b    = a21    + (0  )*cs_A + (1  )*rs_A;

    dcomplex* ABL      = a10t;
    dcomplex* ZBL      = z10t;

    dcomplex* a2       = alpha11;

    int       m_ahead  = m_A - i - 1;
    int       n_ahead  = m_A - i - 1;
    int       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( a10t_r, last_elem );
      // FLA_Set( FLA_ONE, a10t_r );
      last_elem = *a10t_r;
      *a10t_r = *buff_1;
    }

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, y10t, FLA_ONE, a2 );
    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ZBL, a10t, FLA_ONE, a2 );
    bli_zgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead + 1,
               n_behind,
               buff_m1,
               ABL,  rs_A, cs_A,
               y10t, cs_Y,
               buff_1,
               a2,   rs_A );
    bli_zgemv( BLIS_NO_TRANSPOSE,
               BLIS_CONJUGATE,
               m_ahead + 1,
               n_behind,
               buff_m1,
               ZBL,  rs_Z, cs_Z,
               a10t, cs_A,
               buff_1,
               a2,   rs_A );

    // FLA_Gemv( FLA_CONJ_NO_TRANSPOSE, FLA_MINUS_ONE, Y20, a10t, FLA_ONE, a12t );
    // FLA_Gemv( FLA_CONJ_NO_TRANSPOSE, FLA_MINUS_ONE, A20, z10t, FLA_ONE, a12t );
    bli_zgemv( BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               n_behind,
               buff_m1,
               Y20,  rs_Y, cs_Y,
               a10t, cs_A,
               buff_1,
               a12t, cs_A );
    bli_zgemv( BLIS_CONJ_NO_TRANSPOSE,
               BLIS_NO_CONJUGATE,
               m_ahead,
               n_behind,
               buff_m1,
               A20,  rs_A, cs_A,
               z10t, cs_Z,
               buff_1,
               a12t, cs_A );

    if ( m_behind > 0 )
    {
      // FLA_Copy( last_elem, a10t_r );
      *a10t_r = last_elem;
    }

    if ( m_ahead > 0 )
    {
      // FLA_Househ2_UT( FLA_LEFT,
      //                 a21_t,
      //                 a21_b, tau11 );
      FLA_Househ2_UT_l_opz( m_ahead - 1,
                            a21_t,
                            a21_b, rs_A,
                            tau11 );

      // FLA_Set( FLA_ONE, inv_tau11 );
      // FLA_Inv_scalc( FLA_NO_CONJUGATE, tau11, inv_tau11 );
      // FLA_Copy( inv_tau11, minus_inv_tau11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_inv_tau11 );
      bli_zdiv3( buff_1, tau11, &inv_tau11 );
      bli_zneg2( &inv_tau11, &minus_inv_tau11 );

      // FLA_Copy( a21_t, first_elem );
      // FLA_Set( FLA_ONE, a21_t );
      first_elem = *a21_t;
      *a21_t = *buff_1;

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A22, a21, FLA_ZERO, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_ONE, A22, a21, FLA_ZERO, z21 );
      FLA_Fused_Ahx_Ax_opz_var1( m_ahead,
                                 n_ahead,
                                 A22, rs_A, cs_A,
                                 a21, rs_A,
                                 y21, rs_Y,
                                 z21, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d0 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Y20, a21, FLA_ZERO, e0 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f0 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Y20, d0, FLA_ONE, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f0, FLA_ONE, y21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, e0, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d0, FLA_ONE, z21 );
      // FLA_Copy( d0, t01 );
      FLA_Fused_Uhu_Yhu_Zhu_opz_var1( m_ahead,
                                      n_behind,
                                      buff_m1,
                                      A20, rs_A, cs_A,
                                      Y20, rs_Y, cs_Y,
                                      Z20, rs_Z, cs_Z,
                                      t01, rs_T,
                                      a21, rs_A,
                                      y21, rs_Y,
                                      z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, beta, conj_beta );
      bli_zdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_Z,
                &beta );
      bli_zinvscals( buff_2, &beta );
      bli_zcopyconj( &beta, &conj_beta );

      // FLA_Scal( minus_inv_tau11, conj_beta );
      // FLA_Axpy( conj_beta, a21, y21 );
      // FLA_Scal( inv_tau11, y21 );
      bli_zscals( &minus_inv_tau11, &conj_beta );
      bli_zaxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &conj_beta,
                  a21, rs_A,
                  y21, rs_Y );
      bli_zscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  y21, rs_Y );

      // FLA_Scal( minus_inv_tau11, beta );
      // FLA_Axpy( beta, a21, z21 );
      // FLA_Scal( inv_tau11, z21 );
      bli_zscals( &minus_inv_tau11, &beta );
      bli_zaxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &beta,
                  a21, rs_A,
                  z21, rs_Z );
      bli_zscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // FLA_Dot( a12t, a21, dot_product );
      // FLA_Scal( minus_inv_tau11, dot_product );
      // FLA_Axpyt( FLA_CONJ_TRANSPOSE, dot_product, a21, a12t );
      bli_zdot( BLIS_NO_CONJUGATE,
                m_ahead,
                a12t, cs_A,
                a21,  rs_A,
                &dot_product );
      bli_zscals( &minus_inv_tau11, &dot_product );
      bli_zaxpyv( BLIS_CONJUGATE,
                  m_ahead,
                  &dot_product,
                  a21,  rs_A,
                  a12t, cs_A );

      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_ONE, A02, a21, FLA_ZERO, e0 );
      // FLA_Gerc( FLA_NO_CONJUGATE, FLA_CONJUGATE, minus_inv_tau11, e0, a21, A02 );
      bli_zgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_behind,
                 n_ahead,
                 buff_1,
                 A02, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 e0,  inc_e );
      bli_zger( BLIS_NO_CONJUGATE,
                BLIS_CONJUGATE,
                m_behind,
                n_ahead,
                &minus_inv_tau11,
                e0,  inc_e,
                a21, rs_A,
                A02, rs_A, cs_A );

      // FLA_Copy( first_elem, a21_t );
      *a21_t = first_elem;
    }

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

  }

  // FLA_Obj_free( &e );
  FLA_free( buff_e );

  return FLA_SUCCESS;
}