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Functions
FLA_Tridiag_UT_l_opt_var1.c File Reference

(r)

Functions

FLA_Error FLA_Tridiag_UT_l_opt_var1 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_opt_var1 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ops_var1 (int m_A, int m_T, float *buff_A, int rs_A, int cs_A, float *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_opd_var1 (int m_A, int m_T, double *buff_A, int rs_A, int cs_A, double *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_opc_var1 (int m_A, int m_T, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_opz_var1 (int m_A, int m_T, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_T, int rs_T, int cs_T)

Function Documentation

FLA_Error FLA_Tridiag_UT_l_opt_var1 ( FLA_Obj  A,
FLA_Obj  T 
)
FLA_Error FLA_Tridiag_UT_l_step_opc_var1 ( int  m_A,
int  m_T,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_T,
int  rs_T,
int  cs_T 
)

References bli_caxpyv(), bli_cdot(), bli_cgemv(), bli_chemv(), bli_cher2(), bli_cscalv(), FLA_free(), FLA_Househ2_UT_l_opc(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_opt_var1().

{
  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;
  scomplex  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, &z );
  scomplex* buff_z = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_z  = 1;

  for ( i = 0; i < b_alg; ++i )
  {
    scomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    scomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

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

    scomplex* z21      = buff_z + (i+1)*inc_z;

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

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

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

    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_Obj_set_to_scalar( 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_Obj_set_to_scalar( FLA_ONE, a21_t );
      first_elem = *a21_t;
      *a21_t = *buff_1;

      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, z21 );
      bli_chemv( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 z21, inc_z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_cdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, inc_z,
                &beta );
      bli_cinvscals( buff_2, &beta );

      // 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, inc_z );
      bli_cscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, inc_z );

      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, z21, A22 );
      bli_cher2( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_TRANSPOSE,
                 m_ahead,
                 buff_m1,
                 a21, rs_A,
                 z21, inc_z,
                 A22, rs_A, cs_A );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 );
      bli_cgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 A20, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 t01, rs_T );

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

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

  }

  // FLA_Obj_free( &z );
  FLA_free( buff_z );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_opd_var1 ( int  m_A,
int  m_T,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_T,
int  rs_T,
int  cs_T 
)

References bli_daxpyv(), bli_ddot(), bli_dgemv(), bli_dscalv(), bli_dsymv(), bli_dsyr2(), FLA_free(), FLA_Househ2_UT_l_opd(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_opt_var1().

{
  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;
  double    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, &z );
  double*   buff_z = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_z  = 1;

  for ( i = 0; i < b_alg; ++i )
  {
    double*   A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    double*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

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

    double*   z21      = buff_z + (i+1)*inc_z;

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

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

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

    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_Obj_set_to_scalar( 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_Obj_set_to_scalar( FLA_ONE, a21_t );
      first_elem = *a21_t;
      *a21_t = *buff_1;

      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, z21 );
      bli_dsymv( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 z21, inc_z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_ddot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, inc_z,
                &beta );
      bli_dinvscals( buff_2, &beta );

      // 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, inc_z );
      bli_dscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, inc_z );

      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, z21, A22 );
      bli_dsyr2( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_m1,
                 a21, rs_A,
                 z21, inc_z,
                 A22, rs_A, cs_A );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 );
      bli_dgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 A20, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 t01, rs_T );

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

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

  }

  // FLA_Obj_free( &z );
  FLA_free( buff_z );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ops_var1 ( int  m_A,
int  m_T,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_T,
int  rs_T,
int  cs_T 
)

References bli_saxpyv(), bli_sdot(), bli_sgemv(), bli_sscalv(), bli_ssymv(), bli_ssyr2(), FLA_free(), FLA_Househ2_UT_l_ops(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_opt_var1().

{
  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;
  float     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, &z );
  float*    buff_z = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_z  = 1;

  for ( i = 0; i < b_alg; ++i )
  {
    float*    A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    float*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

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

    float*    z21      = buff_z + (i+1)*inc_z;

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

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

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

    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_Obj_set_to_scalar( 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_Obj_set_to_scalar( FLA_ONE, a21_t );
      first_elem = *a21_t;
      *a21_t = *buff_1;

      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, z21 );
      bli_ssymv( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 z21, inc_z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_sdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, inc_z,
                &beta );
      bli_sinvscals( buff_2, &beta );

      // 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, inc_z );
      bli_sscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, inc_z );

      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, z21, A22 );
      bli_ssyr2( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_m1,
                 a21, rs_A,
                 z21, inc_z,
                 A22, rs_A, cs_A );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 );
      bli_sgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 A20, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 t01, rs_T );

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

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

  }

  // FLA_Obj_free( &z );
  FLA_free( buff_z );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_opt_var1 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Tridiag_UT_l_step_opc_var1(), FLA_Tridiag_UT_l_step_opd_var1(), FLA_Tridiag_UT_l_step_ops_var1(), and FLA_Tridiag_UT_l_step_opz_var1().

Referenced by FLA_Tridiag_UT_l_blk_var1(), and FLA_Tridiag_UT_l_opt_var1().

{
  FLA_Datatype datatype;
  int          m_A, m_T;
  int          rs_A, cs_A;
  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_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_T = FLA_FLOAT_PTR( T );

      FLA_Tridiag_UT_l_step_ops_var1( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      buff_T, rs_T, cs_T );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_T = FLA_DOUBLE_PTR( T );

      FLA_Tridiag_UT_l_step_opd_var1( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      buff_T, rs_T, cs_T );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_T = FLA_COMPLEX_PTR( T );

      FLA_Tridiag_UT_l_step_opc_var1( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      buff_T, rs_T, cs_T );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_T = FLA_DOUBLE_COMPLEX_PTR( T );

      FLA_Tridiag_UT_l_step_opz_var1( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      buff_T, rs_T, cs_T );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_opz_var1 ( int  m_A,
int  m_T,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_T,
int  rs_T,
int  cs_T 
)

References bli_zaxpyv(), bli_zdot(), bli_zgemv(), bli_zhemv(), bli_zher2(), bli_zscalv(), FLA_free(), FLA_Househ2_UT_l_opz(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_opt_var1().

{
  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;
  dcomplex  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, &z );
  dcomplex* buff_z = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_z  = 1;

  for ( i = 0; i < b_alg; ++i )
  {
    dcomplex* A20      = buff_A + (0  )*cs_A + (i+1)*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;
    dcomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

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

    dcomplex* z21      = buff_z + (i+1)*inc_z;

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

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

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

    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_Obj_set_to_scalar( 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_Obj_set_to_scalar( FLA_ONE, a21_t );
      first_elem = *a21_t;
      *a21_t = *buff_1;

      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, z21 );
      bli_zhemv( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 z21, inc_z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_zdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, inc_z,
                &beta );
      bli_zinvscals( buff_2, &beta );

      // 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, inc_z );
      bli_zscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, inc_z );

      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, z21, A22 );
      bli_zher2( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_TRANSPOSE,
                 m_ahead,
                 buff_m1,
                 a21, rs_A,
                 z21, inc_z,
                 A22, rs_A, cs_A );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 );
      bli_zgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 A20, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 t01, rs_T );

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

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

  }

  // FLA_Obj_free( &z );
  FLA_free( buff_z );

  return FLA_SUCCESS;
}