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Functions
FLA_Tridiag_UT_l.h File Reference

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Functions

FLA_Error FLA_Tridiag_UT_l_unb_var1 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_blk_var1 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_unb_var1 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_unb_var2 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_blk_var2 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_unb_var2 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_unb_var3 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_blk_var3 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_unb_var3 (FLA_Obj A, FLA_Obj Z, FLA_Obj T)
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)
FLA_Error FLA_Tridiag_UT_l_opt_var2 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_opt_var2 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ops_var2 (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_var2 (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_var2 (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_var2 (int m_A, int m_T, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_opt_var3 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_opt_var3 (FLA_Obj A, FLA_Obj Z, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ops_var3 (int m_A, int m_T, float *buff_A, int rs_A, int cs_A, float *buff_Z, int rs_Z, int cs_Z, float *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_opd_var3 (int m_A, int m_T, double *buff_A, int rs_A, int cs_A, double *buff_Z, int rs_Z, int cs_Z, double *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_opc_var3 (int m_A, int m_T, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_Z, int rs_Z, int cs_Z, scomplex *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_opz_var3 (int m_A, int m_T, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_Z, int rs_Z, int cs_Z, dcomplex *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_ofu_var1 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ofu_var1 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ofs_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_ofd_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_ofc_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_ofz_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)
FLA_Error FLA_Tridiag_UT_l_ofu_var2 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ofu_var2 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ofs_var2 (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_ofd_var2 (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_ofc_var2 (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_ofz_var2 (int m_A, int m_T, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_ofu_var3 (FLA_Obj A, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ofu_var3 (FLA_Obj A, FLA_Obj Z, FLA_Obj T)
FLA_Error FLA_Tridiag_UT_l_step_ofs_var3 (int m_A, int m_T, float *buff_A, int rs_A, int cs_A, float *buff_Z, int rs_Z, int cs_Z, float *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_ofd_var3 (int m_A, int m_T, double *buff_A, int rs_A, int cs_A, double *buff_Z, int rs_Z, int cs_Z, double *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_ofc_var3 (int m_A, int m_T, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_Z, int rs_Z, int cs_Z, scomplex *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Tridiag_UT_l_step_ofz_var3 (int m_A, int m_T, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_Z, int rs_Z, int cs_Z, dcomplex *buff_T, int rs_T, int cs_T)
FLA_Error FLA_Fused_Her2_Ax_opt_var1 (FLA_Obj alpha, FLA_Obj u, FLA_Obj z, FLA_Obj A, FLA_Obj x, FLA_Obj w)
FLA_Error FLA_Fused_Her2_Ax_ops_var1 (int m_A, float *buff_alpha, float *buff_u, int inc_u, float *buff_z, int inc_z, float *buff_A, int rs_A, int cs_A, float *buff_x, int inc_x, float *buff_w, int inc_w)
FLA_Error FLA_Fused_Her2_Ax_opd_var1 (int m_A, double *buff_alpha, double *buff_u, int inc_u, double *buff_z, int inc_z, double *buff_A, int rs_A, int cs_A, double *buff_x, int inc_x, double *buff_w, int inc_w)
FLA_Error FLA_Fused_Her2_Ax_opc_var1 (int m_A, scomplex *buff_alpha, scomplex *buff_u, int inc_u, scomplex *buff_z, int inc_z, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_x, int inc_x, scomplex *buff_w, int inc_w)
FLA_Error FLA_Fused_Her2_Ax_opz_var1 (int m_A, dcomplex *buff_alpha, dcomplex *buff_u, int inc_u, dcomplex *buff_z, int inc_z, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_x, int inc_x, dcomplex *buff_w, int inc_w)
FLA_Error FLA_Fused_UZhu_ZUhu_opt_var1 (FLA_Obj delta, FLA_Obj U, FLA_Obj Z, FLA_Obj u, FLA_Obj w)
FLA_Error FLA_Fused_UZhu_ZUhu_ops_var1 (int m_U, int n_U, float *buff_delta, float *buff_U, int rs_U, int cs_U, float *buff_Z, int rs_Z, int cs_Z, float *buff_u, int inc_u, float *buff_w, int inc_w)
FLA_Error FLA_Fused_UZhu_ZUhu_opd_var1 (int m_U, int n_U, double *buff_delta, double *buff_U, int rs_U, int cs_U, double *buff_Z, int rs_Z, int cs_Z, double *buff_u, int inc_u, double *buff_w, int inc_w)
FLA_Error FLA_Fused_UZhu_ZUhu_opc_var1 (int m_U, int n_U, scomplex *buff_delta, scomplex *buff_U, int rs_U, int cs_U, scomplex *buff_Z, int rs_Z, int cs_Z, scomplex *buff_u, int inc_u, scomplex *buff_w, int inc_w)
FLA_Error FLA_Fused_UZhu_ZUhu_opz_var1 (int m_U, int n_U, dcomplex *buff_delta, dcomplex *buff_U, int rs_U, int cs_U, dcomplex *buff_Z, int rs_Z, int cs_Z, dcomplex *buff_u, int inc_u, dcomplex *buff_w, int inc_w)

Function Documentation

FLA_Error FLA_Fused_Her2_Ax_opc_var1 ( int  m_A,
scomplex buff_alpha,
scomplex buff_u,
int  inc_u,
scomplex buff_z,
int  inc_z,
scomplex buff_A,
int  rs_A,
int  cs_A,
scomplex buff_x,
int  inc_x,
scomplex buff_w,
int  inc_w 
)

References bli_cdot(), bli_csetv(), F77_caxpy(), FLA_ZERO, scomplex::imag, and scomplex::real.

Referenced by FLA_Fused_Her2_Ax_opt_var1(), and FLA_Tridiag_UT_l_step_ofc_var2().

{
  scomplex* buff_0  = FLA_COMPLEX_PTR( FLA_ZERO );
  int       i;

  bli_csetv( m_A,
             buff_0,
             buff_w, inc_w );

  for ( i = 0; i < m_A; ++i )
  {
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    scomplex* upsilon1 = buff_u + (i  )*inc_u;
    scomplex* u2       = buff_u + (i+1)*inc_u;

    scomplex* zeta1    = buff_z + (i  )*inc_z;
    scomplex* z2       = buff_z + (i+1)*inc_z;

    scomplex* chi1     = buff_x + (i  )*inc_x;
    scomplex* x2       = buff_x + (i+1)*inc_x;

    scomplex* omega1   = buff_w + (i  )*inc_w;
    scomplex* w2       = buff_w + (i+1)*inc_w;

    // scomplex* beta     = buff_beta;

    scomplex minus_conj_upsilon1;
    scomplex minus_conj_zeta1;
    scomplex temp;

    int      m_ahead   = m_A - i - 1;

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

    // bli_ccopyconj( zeta1, &conj_zeta1 );
    // bli_cmult3( beta, &conj_zeta1, &minus_conj_zeta1 );
    // bli_cmult3( &minus_conj_zeta1, upsilon1, &temp );
    // bli_cadd3( &temp, alpha11, alpha11 );

    //bli_ccopyconj( upsilon1, &conj_upsilon1 );
    //bli_cmult3( beta, &conj_upsilon1, &minus_conj_upsilon1 );
    //bli_cmult3( &minus_conj_upsilon1, zeta1, &temp );
    //bli_cadd3( &temp, alpha11, alpha11 );
    minus_conj_zeta1.real    = -  zeta1->real;
    minus_conj_zeta1.imag    = - -zeta1->imag;
    minus_conj_upsilon1.real = -  upsilon1->real;
    minus_conj_upsilon1.imag = - -upsilon1->imag;

    alpha11->real -=  zeta1->real * upsilon1->real - -zeta1->imag * upsilon1->imag +
                      zeta1->real * upsilon1->real - zeta1->imag * -upsilon1->imag;
    alpha11->imag -= -zeta1->imag * upsilon1->real +  zeta1->real * upsilon1->imag +
                      zeta1->imag * upsilon1->real + zeta1->real * -upsilon1->imag;

    // bli_caxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             &minus_conj_zeta1,
    //             u2,  inc_u,
    //             a21, rs_A );
    F77_caxpy( &m_ahead,
               &minus_conj_zeta1,
               u2,  &inc_u,
               a21, &rs_A );


    // bli_caxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             &minus_conj_upsilon1,
    //             z2,  inc_z,
    //             a21, rs_A );
    F77_caxpy( &m_ahead,
               &minus_conj_upsilon1,
               z2,  &inc_z,
               a21, &rs_A );

    // bli_cmult3( alpha11, chi1, &temp );
    // bli_cadd3( &temp, omega1, omega1 );
    omega1->real += alpha11->real * chi1->real - alpha11->imag * chi1->imag;
    omega1->imag += alpha11->imag * chi1->real + alpha11->real * chi1->imag;

    bli_cdot( BLIS_CONJUGATE,
              m_ahead,
              a21, rs_A,
              x2,  inc_x,
              &temp );
    // bli_cadd3( &temp, omega1, omega1 );
    omega1->real += temp.real;
    omega1->imag += temp.imag;

    // bli_caxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             chi1,
    //             a21, rs_A,
    //             w2,  inc_w );
    F77_caxpy( &m_ahead,
               chi1,
               a21, &rs_A,
               w2,  &inc_w );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_Her2_Ax_opd_var1 ( int  m_A,
double *  buff_alpha,
double *  buff_u,
int  inc_u,
double *  buff_z,
int  inc_z,
double *  buff_A,
int  rs_A,
int  cs_A,
double *  buff_x,
int  inc_x,
double *  buff_w,
int  inc_w 
)

References bli_dsetv(), F77_daxpy(), F77_ddot(), and FLA_ZERO.

Referenced by FLA_Fused_Her2_Ax_opt_var1(), and FLA_Tridiag_UT_l_step_ofd_var2().

{
  double*   buff_0  = FLA_DOUBLE_PTR( FLA_ZERO );
  int       i;

  bli_dsetv( m_A,
             buff_0,
             buff_w, inc_w );

  for ( i = 0; i < m_A; ++i )
  {
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    double*   upsilon1 = buff_u + (i  )*inc_u;
    double*   u2       = buff_u + (i+1)*inc_u;

    double*   zeta1    = buff_z + (i  )*inc_z;
    double*   z2       = buff_z + (i+1)*inc_z;

    double*   chi1     = buff_x + (i  )*inc_x;
    double*   x2       = buff_x + (i+1)*inc_x;

    double*   omega1   = buff_w + (i  )*inc_w;
    double*   w2       = buff_w + (i+1)*inc_w;

    // double*   beta     = buff_beta;

    double   minus_conj_upsilon1;
    double   minus_conj_zeta1;
    double   temp;

    int      m_ahead   = m_A - i - 1;

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

    // bli_dcopyconj( zeta1, &conj_zeta1 );
    // bli_dmult3( beta, &conj_zeta1, &minus_conj_zeta1 );
    // bli_dmult3( &minus_conj_zeta1, upsilon1, &temp );
    // bli_dadd3( &temp, alpha11, alpha11 );

    //bli_dcopyconj( upsilon1, &conj_upsilon1 );
    //bli_dmult3( beta, &conj_upsilon1, &minus_conj_upsilon1 );
    //bli_dmult3( &minus_conj_upsilon1, zeta1, &temp );
    //bli_dadd3( &temp, alpha11, alpha11 );
    minus_conj_zeta1    = - *zeta1;
    minus_conj_upsilon1 = - *upsilon1;

    *alpha11 -= 2.0 * *zeta1 * *upsilon1;

    // bli_daxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             &minus_conj_zeta1,
    //             u2,  inc_u,
    //             a21, rs_A );
    F77_daxpy( &m_ahead,
               &minus_conj_zeta1,
               u2,  &inc_u,
               a21, &rs_A );


    // bli_daxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             &minus_conj_upsilon1,
    //             z2,  inc_z,
    //             a21, rs_A );
    F77_daxpy( &m_ahead,
               &minus_conj_upsilon1,
               z2,  &inc_z,
               a21, &rs_A );

    // bli_dmult3( alpha11, chi1, &temp );
    // bli_dadd3( &temp, omega1, omega1 );
    *omega1 += *alpha11 * *chi1;

    // bli_ddot( BLIS_CONJUGATE,
    //           m_ahead,
    //           a21, rs_A,
    //           x2,  inc_x,
    //           &temp );
    temp = F77_ddot( &m_ahead,
                     a21, &rs_A,
                     x2,  &inc_x );

    // bli_dadd3( &temp, omega1, omega1 );
    *omega1 += temp;

    // bli_daxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             chi1,
    //             a21, rs_A,
    //             w2,  inc_w );
    F77_daxpy( &m_ahead,
               chi1,
               a21, &rs_A,
               w2,  &inc_w );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_Her2_Ax_ops_var1 ( int  m_A,
float *  buff_alpha,
float *  buff_u,
int  inc_u,
float *  buff_z,
int  inc_z,
float *  buff_A,
int  rs_A,
int  cs_A,
float *  buff_x,
int  inc_x,
float *  buff_w,
int  inc_w 
)

References bli_ssetv(), F77_saxpy(), F77_sdot(), and FLA_ZERO.

Referenced by FLA_Fused_Her2_Ax_opt_var1(), and FLA_Tridiag_UT_l_step_ofs_var2().

{
  float*    buff_0  = FLA_FLOAT_PTR( FLA_ZERO );
  int       i;

  bli_ssetv( m_A,
             buff_0,
             buff_w, inc_w );

  for ( i = 0; i < m_A; ++i )
  {
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    float*    upsilon1 = buff_u + (i  )*inc_u;
    float*    u2       = buff_u + (i+1)*inc_u;

    float*    zeta1    = buff_z + (i  )*inc_z;
    float*    z2       = buff_z + (i+1)*inc_z;

    float*    chi1     = buff_x + (i  )*inc_x;
    float*    x2       = buff_x + (i+1)*inc_x;

    float*    omega1   = buff_w + (i  )*inc_w;
    float*    w2       = buff_w + (i+1)*inc_w;

    // float*    beta     = buff_beta;

    float    minus_conj_upsilon1;
    float    minus_conj_zeta1;
    float    temp;

    int      m_ahead   = m_A - i - 1;

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

    // bli_scopyconj( zeta1, &conj_zeta1 );
    // bli_smult3( beta, &conj_zeta1, &minus_conj_zeta1 );
    // bli_smult3( &minus_conj_zeta1, upsilon1, &temp );
    // bli_sadd3( &temp, alpha11, alpha11 );

    //bli_scopyconj( upsilon1, &conj_upsilon1 );
    //bli_smult3( beta, &conj_upsilon1, &minus_conj_upsilon1 );
    //bli_smult3( &minus_conj_upsilon1, zeta1, &temp );
    //bli_sadd3( &temp, alpha11, alpha11 );
    minus_conj_zeta1    = - *zeta1;
    minus_conj_upsilon1 = - *upsilon1;

    *alpha11 -= 2.0F * *zeta1 * *upsilon1;

    // bli_saxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             &minus_conj_zeta1,
    //             u2,  inc_u,
    //             a21, rs_A );
    F77_saxpy( &m_ahead,
               &minus_conj_zeta1,
               u2,  &inc_u,
               a21, &rs_A );


    // bli_saxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             &minus_conj_upsilon1,
    //             z2,  inc_z,
    //             a21, rs_A );
    F77_saxpy( &m_ahead,
               &minus_conj_upsilon1,
               z2,  &inc_z,
               a21, &rs_A );

    // bli_smult3( alpha11, chi1, &temp );
    // bli_sadd3( &temp, omega1, omega1 );
    *omega1 += *alpha11 * *chi1;

    // bli_sdot( BLIS_CONJUGATE,
    //           m_ahead,
    //           a21, rs_A,
    //           x2,  inc_x,
    //           &temp );
    temp = F77_sdot( &m_ahead,
                     a21, &rs_A,
                     x2,  &inc_x );

    // bli_sadd3( &temp, omega1, omega1 );
    *omega1 += temp;

    // bli_saxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             chi1,
    //             a21, rs_A,
    //             w2,  inc_w );
    F77_saxpy( &m_ahead,
               chi1,
               a21, &rs_A,
               w2,  &inc_w );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_Her2_Ax_opt_var1 ( FLA_Obj  alpha,
FLA_Obj  u,
FLA_Obj  z,
FLA_Obj  A,
FLA_Obj  x,
FLA_Obj  w 
)

References FLA_Fused_Her2_Ax_opc_var1(), FLA_Fused_Her2_Ax_opd_var1(), FLA_Fused_Her2_Ax_ops_var1(), FLA_Fused_Her2_Ax_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), and FLA_Obj_vector_inc().

{
/*
   Effective computation:
   A = A + beta * ( u * z' + z * u' );
   w = A * x;
*/
  FLA_Datatype datatype;
  int          m_A;
  int          rs_A, cs_A;
  int          inc_u, inc_z, inc_x, inc_w;

  datatype = FLA_Obj_datatype( A );

  m_A      = FLA_Obj_length( A );

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

  inc_u    = FLA_Obj_vector_inc( u );
  inc_z    = FLA_Obj_vector_inc( z );
  inc_x    = FLA_Obj_vector_inc( x );
  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_z = FLA_FLOAT_PTR( z );
      float* buff_x = FLA_FLOAT_PTR( x );
      float* buff_w = FLA_FLOAT_PTR( w );
      float* buff_beta = FLA_FLOAT_PTR( beta );

      FLA_Fused_Her2_Ax_ops_var1( m_A,
                                  buff_beta,
                                  buff_u, inc_u,
                                  buff_z, inc_z,
                                  buff_A, rs_A, cs_A,
                                  buff_x, inc_x,
                                  buff_w, inc_w );

      break;
    }

    case FLA_DOUBLE:
    {
      double* buff_A = FLA_DOUBLE_PTR( A );
      double* buff_u = FLA_DOUBLE_PTR( u );
      double* buff_z = FLA_DOUBLE_PTR( z );
      double* buff_x = FLA_DOUBLE_PTR( x );
      double* buff_w = FLA_DOUBLE_PTR( w );
      double* buff_beta = FLA_DOUBLE_PTR( beta );

      FLA_Fused_Her2_Ax_opd_var1( m_A,
                                  buff_beta,
                                  buff_u, inc_u,
                                  buff_z, inc_z,
                                  buff_A, rs_A, cs_A,
                                  buff_x, inc_x,
                                  buff_w, inc_w );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_A = FLA_COMPLEX_PTR( A );
      scomplex* buff_u = FLA_COMPLEX_PTR( u );
      scomplex* buff_z = FLA_COMPLEX_PTR( z );
      scomplex* buff_x = FLA_COMPLEX_PTR( x );
      scomplex* buff_w = FLA_COMPLEX_PTR( w );
      scomplex* buff_beta = FLA_COMPLEX_PTR( beta );

      FLA_Fused_Her2_Ax_opc_var1( m_A,
                                  buff_beta,
                                  buff_u, inc_u,
                                  buff_z, inc_z,
                                  buff_A, rs_A, cs_A,
                                  buff_x, inc_x,
                                  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_z = FLA_DOUBLE_COMPLEX_PTR( z );
      dcomplex* buff_x = FLA_DOUBLE_COMPLEX_PTR( x );
      dcomplex* buff_w = FLA_DOUBLE_COMPLEX_PTR( w );
      dcomplex* buff_beta = FLA_DOUBLE_COMPLEX_PTR( beta );

      FLA_Fused_Her2_Ax_opz_var1( m_A,
                                  buff_beta,
                                  buff_u, inc_u,
                                  buff_z, inc_z,
                                  buff_A, rs_A, cs_A,
                                  buff_x, inc_x,
                                  buff_w, inc_w );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_Her2_Ax_opz_var1 ( int  m_A,
dcomplex buff_alpha,
dcomplex buff_u,
int  inc_u,
dcomplex buff_z,
int  inc_z,
dcomplex buff_A,
int  rs_A,
int  cs_A,
dcomplex buff_x,
int  inc_x,
dcomplex buff_w,
int  inc_w 
)

References bli_zdot(), bli_zsetv(), F77_zaxpy(), FLA_ZERO, dcomplex::imag, and dcomplex::real.

Referenced by FLA_Fused_Her2_Ax_opt_var1(), and FLA_Tridiag_UT_l_step_ofz_var2().

{
  dcomplex* buff_0  = FLA_DOUBLE_COMPLEX_PTR( FLA_ZERO );
  int       i;

  bli_zsetv( m_A,
             buff_0,
             buff_w, inc_w );

  for ( i = 0; i < m_A; ++i )
  {
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a21      = buff_A + (i  )*cs_A + (i+1)*rs_A;

    dcomplex* upsilon1 = buff_u + (i  )*inc_u;
    dcomplex* u2       = buff_u + (i+1)*inc_u;

    dcomplex* zeta1    = buff_z + (i  )*inc_z;
    dcomplex* z2       = buff_z + (i+1)*inc_z;

    dcomplex* chi1     = buff_x + (i  )*inc_x;
    dcomplex* x2       = buff_x + (i+1)*inc_x;

    dcomplex* omega1   = buff_w + (i  )*inc_w;
    dcomplex* w2       = buff_w + (i+1)*inc_w;

    // dcomplex* beta     = buff_beta;

    dcomplex minus_conj_upsilon1;
    dcomplex minus_conj_zeta1;
    dcomplex temp;

    int      m_ahead   = m_A - i - 1;

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

    // bli_zcopyconj( zeta1, &conj_zeta1 );
    // bli_zmult3( beta, &conj_zeta1, &minus_conj_zeta1 );
    // bli_zmult3( &minus_conj_zeta1, upsilon1, &temp );
    // bli_zadd3( &temp, alpha11, alpha11 );

    //bli_zcopyconj( upsilon1, &conj_upsilon1 );
    //bli_zmult3( beta, &conj_upsilon1, &minus_conj_upsilon1 );
    //bli_zmult3( &minus_conj_upsilon1, zeta1, &temp );
    //bli_zadd3( &temp, alpha11, alpha11 );
    minus_conj_zeta1.real    = -  zeta1->real;
    minus_conj_zeta1.imag    = - -zeta1->imag;
    minus_conj_upsilon1.real = -  upsilon1->real;
    minus_conj_upsilon1.imag = - -upsilon1->imag;

    alpha11->real -=  zeta1->real * upsilon1->real - -zeta1->imag * upsilon1->imag +
                      zeta1->real * upsilon1->real - zeta1->imag * -upsilon1->imag;
    alpha11->imag -= -zeta1->imag * upsilon1->real +  zeta1->real * upsilon1->imag +
                      zeta1->imag * upsilon1->real + zeta1->real * -upsilon1->imag;

    // bli_zaxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             &minus_conj_zeta1,
    //             u2,  inc_u,
    //             a21, rs_A );
    F77_zaxpy( &m_ahead,
               &minus_conj_zeta1,
               u2,  &inc_u,
               a21, &rs_A );


    // bli_zaxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             &minus_conj_upsilon1,
    //             z2,  inc_z,
    //             a21, rs_A );
    F77_zaxpy( &m_ahead,
               &minus_conj_upsilon1,
               z2,  &inc_z,
               a21, &rs_A );

    // bli_zmult3( alpha11, chi1, &temp );
    // bli_zadd3( &temp, omega1, omega1 );
    omega1->real += alpha11->real * chi1->real - alpha11->imag * chi1->imag;
    omega1->imag += alpha11->imag * chi1->real + alpha11->real * chi1->imag;

    bli_zdot( BLIS_CONJUGATE,
              m_ahead,
              a21, rs_A,
              x2,  inc_x,
              &temp );
    // bli_zadd3( &temp, omega1, omega1 );
    omega1->real += temp.real;
    omega1->imag += temp.imag;

    // bli_zaxpyv( BLIS_NO_CONJUGATE,
    //             m_ahead,
    //             chi1,
    //             a21, rs_A,
    //             w2,  inc_w );
    F77_zaxpy( &m_ahead,
               chi1,
               a21, &rs_A,
               w2,  &inc_w );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_UZhu_ZUhu_opc_var1 ( int  m_U,
int  n_U,
scomplex buff_delta,
scomplex buff_U,
int  rs_U,
int  cs_U,
scomplex buff_Z,
int  rs_Z,
int  cs_Z,
scomplex buff_u,
int  inc_u,
scomplex buff_w,
int  inc_w 
)

References bli_cdot(), and F77_caxpy().

Referenced by FLA_Fused_UZhu_ZUhu_opt_var1(), and FLA_Tridiag_UT_l_step_ofc_var3().

{
  int i;

  for ( i = 0; i < n_U; ++i )
  {
    scomplex* u1       = buff_U + (i  )*cs_U + (0  )*rs_U;
    scomplex* z1       = buff_Z + (i  )*cs_Z + (0  )*rs_Z;
    scomplex* delta    = buff_delta;
    scomplex* u        = buff_u;
    scomplex* w        = buff_w;
    scomplex  alpha;
    scomplex  beta;

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

    bli_cdot( BLIS_CONJUGATE,
              m_U,
              z1, rs_Z,
              u,  inc_u,
              &alpha );

    bli_cdot( BLIS_CONJUGATE,
              m_U,
              u1, rs_U,
              u,  inc_u,
              &beta );

    bli_cscals( delta, &alpha );
    bli_cscals( delta, &beta );

    // bli_caxpyv( BLIS_NO_CONJUGATE,
    //             m_U,
    //             &alpha,
    //             u1, rs_U,
    //             w,  inc_w );
    F77_caxpy( &m_U,
               &alpha,
               u1, &rs_U,
               w,  &inc_w );

    // bli_caxpyv( BLIS_NO_CONJUGATE,
    //             m_U,
    //             &beta,
    //             z1, rs_U,
    //             w,  inc_w );
    F77_caxpy( &m_U,
               &beta,
               z1, &rs_Z,
               w,  &inc_w );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_UZhu_ZUhu_opd_var1 ( int  m_U,
int  n_U,
double *  buff_delta,
double *  buff_U,
int  rs_U,
int  cs_U,
double *  buff_Z,
int  rs_Z,
int  cs_Z,
double *  buff_u,
int  inc_u,
double *  buff_w,
int  inc_w 
)

References F77_daxpy(), and F77_ddot().

Referenced by FLA_Fused_UZhu_ZUhu_opt_var1(), and FLA_Tridiag_UT_l_step_ofd_var3().

{
  int i;

  for ( i = 0; i < n_U; ++i )
  {
    double*   u1       = buff_U + (i  )*cs_U + (0  )*rs_U;
    double*   z1       = buff_Z + (i  )*cs_Z + (0  )*rs_Z;
    double*   delta    = buff_delta;
    double*   u        = buff_u;
    double*   w        = buff_w;
    double    alpha;
    double    beta;

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

    // bli_ddot( BLIS_CONJUGATE,
    //           m_U,
    //           z1, rs_Z,
    //           u,  inc_u,
    //           &alpha );
    alpha = F77_ddot( &m_U,
                      z1, &rs_Z,
                      u,  &inc_u );

    // bli_ddot( BLIS_CONJUGATE,
    //           m_U,
    //           u1, rs_U,
    //           u,  inc_u,
    //           &beta );
    beta = F77_ddot( &m_U,
                     u1, &rs_U,
                     u,  &inc_u );

    // bli_dscals( delta, &alpha );
    // bli_dscals( delta, &beta );
    alpha *= *delta;
    beta  *= *delta;

    // bli_daxpyv( BLIS_NO_CONJUGATE,
    //             m_U,
    //             &alpha,
    //             u1, rs_U,
    //             w,  inc_w );
    F77_daxpy( &m_U,
               &alpha,
               u1, &rs_U,
               w,  &inc_w );

    // bli_daxpyv( BLIS_NO_CONJUGATE,
    //             m_U,
    //             &beta,
    //             z1, rs_U,
    //             w,  inc_w );
    F77_daxpy( &m_U,
               &beta,
               z1, &rs_Z,
               w,  &inc_w );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_UZhu_ZUhu_ops_var1 ( int  m_U,
int  n_U,
float *  buff_delta,
float *  buff_U,
int  rs_U,
int  cs_U,
float *  buff_Z,
int  rs_Z,
int  cs_Z,
float *  buff_u,
int  inc_u,
float *  buff_w,
int  inc_w 
)

References F77_saxpy(), and F77_sdot().

Referenced by FLA_Fused_UZhu_ZUhu_opt_var1(), and FLA_Tridiag_UT_l_step_ofs_var3().

{
  int i;

  for ( i = 0; i < n_U; ++i )
  {
    float*    u1       = buff_U + (i  )*cs_U + (0  )*rs_U;
    float*    z1       = buff_Z + (i  )*cs_Z + (0  )*rs_Z;
    float*    delta    = buff_delta;
    float*    u        = buff_u;
    float*    w        = buff_w;
    float     alpha;
    float     beta;

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

    // bli_sdot( BLIS_CONJUGATE,
    //           m_U,
    //           z1, rs_Z,
    //           u,  inc_u,
    //           &alpha );
    alpha = F77_sdot( &m_U,
                      z1, &rs_Z,
                      u,  &inc_u );

    // bli_sdot( BLIS_CONJUGATE,
    //           m_U,
    //           u1, rs_U,
    //           u,  inc_u,
    //           &beta );
    beta = F77_sdot( &m_U,
                     u1, &rs_U,
                     u,  &inc_u );

    // bli_sscals( delta, &alpha );
    // bli_sscals( delta, &beta );
    alpha *= *delta;
    beta  *= *delta;

    // bli_saxpyv( BLIS_NO_CONJUGATE,
    //             m_U,
    //             &alpha,
    //             u1, rs_U,
    //             w,  inc_w );
    F77_saxpy( &m_U,
               &alpha,
               u1, &rs_U,
               w,  &inc_w );

    // bli_saxpyv( BLIS_NO_CONJUGATE,
    //             m_U,
    //             &beta,
    //             z1, rs_U,
    //             w,  inc_w );
    F77_saxpy( &m_U,
               &beta,
               z1, &rs_Z,
               w,  &inc_w );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_UZhu_ZUhu_opt_var1 ( FLA_Obj  delta,
FLA_Obj  U,
FLA_Obj  Z,
FLA_Obj  u,
FLA_Obj  w 
)

References FLA_Fused_UZhu_ZUhu_opc_var1(), FLA_Fused_UZhu_ZUhu_opd_var1(), FLA_Fused_UZhu_ZUhu_ops_var1(), FLA_Fused_UZhu_ZUhu_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Obj_vector_inc(), and FLA_Obj_width().

{
/*
   Effective computation:
   w = w + delta * ( U ( Z' u  ) + Z ( U' a  ) );
*/
  FLA_Datatype datatype;
  int          m_U, n_U;
  int          rs_U, cs_U;
  int          rs_Z, cs_Z;
  int          inc_u, inc_w;

  datatype = FLA_Obj_datatype( U );

  m_U      = FLA_Obj_length( U );
  n_U      = FLA_Obj_width( U );

  rs_U     = FLA_Obj_row_stride( U );
  cs_U     = FLA_Obj_col_stride( U );

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

  inc_u    = FLA_Obj_vector_inc( u );
  
  inc_w    = FLA_Obj_vector_inc( w );
  

  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float*    buff_U     = FLA_FLOAT_PTR( U );
      float*    buff_Z     = FLA_FLOAT_PTR( Z );
      float*    buff_u     = FLA_FLOAT_PTR( u );
      float*    buff_w     = FLA_FLOAT_PTR( w );
      float*    buff_delta = FLA_FLOAT_PTR( delta );

      FLA_Fused_UZhu_ZUhu_ops_var1( m_U,
                                    n_U,
                                    buff_delta,
                                    buff_U, rs_U, cs_U,
                                    buff_Z, rs_Z, cs_Z,
                                    buff_u, inc_u,
                                    buff_w, inc_w );

      break;
    }

    case FLA_DOUBLE:
    {
      double*   buff_U     = FLA_DOUBLE_PTR( U );
      double*   buff_Z     = FLA_DOUBLE_PTR( Z );
      double*   buff_u     = FLA_DOUBLE_PTR( u );
      double*   buff_w     = FLA_DOUBLE_PTR( w );
      double*   buff_delta = FLA_DOUBLE_PTR( delta );

      FLA_Fused_UZhu_ZUhu_opd_var1( m_U,
                                    n_U,
                                    buff_delta,
                                    buff_U, rs_U, cs_U,
                                    buff_Z, rs_Z, cs_Z,
                                    buff_u, inc_u,
                                    buff_w, inc_w );

      break;
    }

    case FLA_COMPLEX:
    {
      scomplex* buff_U     = FLA_COMPLEX_PTR( U );
      scomplex* buff_Z     = FLA_COMPLEX_PTR( Z );
      scomplex* buff_u     = FLA_COMPLEX_PTR( u );
      scomplex* buff_w     = FLA_COMPLEX_PTR( w );
      scomplex* buff_delta = FLA_COMPLEX_PTR( delta );

      FLA_Fused_UZhu_ZUhu_opc_var1( m_U,
                                    n_U,
                                    buff_delta,
                                    buff_U, rs_U, cs_U,
                                    buff_Z, rs_Z, cs_Z,
                                    buff_u, inc_u,
                                    buff_w, inc_w );

      break;
    }

    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_U     = FLA_DOUBLE_COMPLEX_PTR( U );
      dcomplex* buff_Z     = FLA_DOUBLE_COMPLEX_PTR( Z );
      dcomplex* buff_u     = FLA_DOUBLE_COMPLEX_PTR( u );
      dcomplex* buff_w     = FLA_DOUBLE_COMPLEX_PTR( w );
      dcomplex* buff_delta = FLA_DOUBLE_COMPLEX_PTR( delta );

      FLA_Fused_UZhu_ZUhu_opz_var1( m_U,
                                    n_U,
                                    buff_delta,
                                    buff_U, rs_U, cs_U,
                                    buff_Z, rs_Z, cs_Z,
                                    buff_u, inc_u,
                                    buff_w, inc_w );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Fused_UZhu_ZUhu_opz_var1 ( int  m_U,
int  n_U,
dcomplex buff_delta,
dcomplex buff_U,
int  rs_U,
int  cs_U,
dcomplex buff_Z,
int  rs_Z,
int  cs_Z,
dcomplex buff_u,
int  inc_u,
dcomplex buff_w,
int  inc_w 
)

References bli_zdot(), and F77_zaxpy().

Referenced by FLA_Fused_UZhu_ZUhu_opt_var1(), and FLA_Tridiag_UT_l_step_ofz_var3().

{
  int i;

  for ( i = 0; i < n_U; ++i )
  {
    dcomplex* u1       = buff_U + (i  )*cs_U + (0  )*rs_U;
    dcomplex* z1       = buff_Z + (i  )*cs_Z + (0  )*rs_Z;
    dcomplex* delta    = buff_delta;
    dcomplex* u        = buff_u;
    dcomplex* w        = buff_w;
    dcomplex  alpha;
    dcomplex  beta;

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

    bli_zdot( BLIS_CONJUGATE,
              m_U,
              z1, rs_Z,
              u,  inc_u,
              &alpha );

    bli_zdot( BLIS_CONJUGATE,
              m_U,
              u1, rs_U,
              u,  inc_u,
              &beta );

    bli_zscals( delta, &alpha );
    bli_zscals( delta, &beta );

    // bli_zaxpyv( BLIS_NO_CONJUGATE,
    //             m_U,
    //             &alpha,
    //             u1, rs_U,
    //             w,  inc_w );
    F77_zaxpy( &m_U,
               &alpha,
               u1, &rs_U,
               w,  &inc_w );

    // bli_zaxpyv( BLIS_NO_CONJUGATE,
    //             m_U,
    //             &beta,
    //             z1, rs_U,
    //             w,  inc_w );
    F77_zaxpy( &m_U,
               &beta,
               z1, &rs_Z,
               w,  &inc_w );

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_blk_var1 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Obj_length(), FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Tridiag_UT_l_step_opt_var1().

Referenced by FLA_Tridiag_UT_l().

{
  FLA_Obj  ATL,   ATR,      A00, A01, A02, 
           ABL,   ABR,      A10, A11, A12,
                            A20, A21, A22;
  FLA_Obj  TL,    TR,       T0, T1, T2; 

  FLA_Obj  T1_tl;
  FLA_Obj  none, none2, none3;
  dim_t    b_alg, b;

  b_alg = FLA_Obj_length( T );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );
  FLA_Part_1x2( T,    &TL,  &TR,      0, FLA_LEFT ); 

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) )
  {
    b = min( FLA_Obj_length( ABR ), b_alg );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );
    FLA_Repart_1x2_to_1x3( TL,  /**/ TR,        &T0, /**/ &T1, &T2,
                           b, FLA_RIGHT );

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

    FLA_Part_2x2( T1,     &T1_tl, &none,   
                          &none2, &none3,   b, b, FLA_TL ); 

    // [ ABR, T1 ] = FLA_Tridiag_UT_l_step_unb_var1( ABR, T1, b );
    //FLA_Tridiag_UT_l_step_unb_var1( ABR, T1_tl );
    //FLA_Tridiag_UT_l_step_ofu_var1( ABR, T1_tl );
    FLA_Tridiag_UT_l_step_opt_var1( ABR, T1_tl );

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );
    FLA_Cont_with_1x3_to_1x2( &TL,  /**/ &TR,        T0, T1, /**/ T2,
                              FLA_LEFT );
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_blk_var2 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Obj_length(), FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), and FLA_Tridiag_UT_l_step_opt_var2().

Referenced by FLA_Tridiag_UT_l().

{
  FLA_Obj  ATL,   ATR,      A00, A01, A02, 
           ABL,   ABR,      A10, A11, A12,
                            A20, A21, A22;
  FLA_Obj  TL,    TR,       T0, T1, T2; 

  FLA_Obj  T1_tl;
  FLA_Obj  none, none2, none3;
  dim_t    b_alg, b;

  b_alg = FLA_Obj_length( T );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );
  FLA_Part_1x2( T,    &TL,  &TR,      0, FLA_LEFT ); 

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) )
  {
    b = min( FLA_Obj_length( ABR ), b_alg );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );
    FLA_Repart_1x2_to_1x3( TL,  /**/ TR,        &T0, /**/ &T1, &T2,
                           b, FLA_RIGHT );

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

    FLA_Part_2x2( T1,     &T1_tl, &none,   
                          &none2, &none3,   b, b, FLA_TL ); 

    // [ ABR, T1 ] = FLA_Tridiag_UT_l_step_unb_var2( ABR, T1, b );
    //FLA_Tridiag_UT_l_step_unb_var2( ABR, T1_tl );
    //FLA_Tridiag_UT_l_step_ofu_var2( ABR, T1_tl );
    FLA_Tridiag_UT_l_step_opt_var2( ABR, T1_tl );

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );
    FLA_Cont_with_1x3_to_1x2( &TL,  /**/ &TR,        T0, T1, /**/ T2,
                              FLA_LEFT );
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_blk_var3 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy_external(), FLA_Her2k_external(), FLA_MINUS_ONE, FLA_Obj_create(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_Obj_set_to_scalar(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Triangularize(), FLA_Tridiag_UT_l_step_opt_var3(), and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l().

{
  FLA_Obj  ATL,   ATR,      A00, A01, A02, 
           ABL,   ABR,      A10, A11, A12,
                            A20, A21, A22;
  FLA_Obj  UT,              U0,
           UB,              U1,
                            U2;
  FLA_Obj  ZT,              Z0,
           ZB,              Z1,
                            Z2;
  FLA_Obj  TL,    TR,       T0, T1, T2; 

  FLA_Obj  U, Z;
  FLA_Obj  ABR_l;
  FLA_Obj  UB_l, U2_l;
  FLA_Obj  ZB_l, Z2_l;
  FLA_Obj  T1_tl;
  FLA_Obj  none, none2, none3;
  FLA_Obj  UB_tl,
           UB_bl;
  FLA_Datatype datatype_A;
  dim_t        m_A;
  dim_t        b_alg, b, bb;

  b_alg      = FLA_Obj_length( T );

  datatype_A = FLA_Obj_datatype( A );
  m_A        = FLA_Obj_length( A );

  FLA_Obj_create( datatype_A, m_A,    b_alg, 0, 0, &U );
  FLA_Obj_create( datatype_A, m_A,    b_alg, 0, 0, &Z );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );
  FLA_Part_2x1( U,    &UT, 
                      &UB,            0, FLA_TOP );
  FLA_Part_2x1( Z,    &ZT, 
                      &ZB,            0, FLA_TOP );
  FLA_Part_1x2( T,    &TL,  &TR,      0, FLA_LEFT ); 

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) )
  {
    b = min( FLA_Obj_length( ABR ), b_alg );

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00, /**/ &A01, &A02,
                        /* ************* */   /* ******************** */
                                                &A10, /**/ &A11, &A12,
                           ABL, /**/ ABR,       &A20, /**/ &A21, &A22,
                           b, b, FLA_BR );
    FLA_Repart_2x1_to_3x1( UT,                &U0, 
                        /* ** */            /* ** */
                                              &U1, 
                           UB,                &U2,        b, FLA_BOTTOM );
    FLA_Repart_2x1_to_3x1( ZT,                &Z0, 
                        /* ** */            /* ** */
                                              &Z1, 
                           ZB,                &Z2,        b, FLA_BOTTOM );
    FLA_Repart_1x2_to_1x3( TL,  /**/ TR,        &T0, /**/ &T1, &T2,
                           b, FLA_RIGHT );

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

    FLA_Part_2x2( T1,     &T1_tl, &none,   
                          &none2, &none3,   b, b, FLA_TL ); 

    bb = min( FLA_Obj_length( ABR ) - 1, b_alg );

    FLA_Part_1x2( ABR,    &ABR_l, &none,    bb, FLA_LEFT ); 
    FLA_Part_1x2( UB,     &UB_l,  &none,    bb, FLA_LEFT ); 
    FLA_Part_1x2( ZB,     &ZB_l,  &none,    bb, FLA_LEFT ); 

    FLA_Part_2x1( UB_l,   &none,
                          &U2_l,             b, FLA_TOP );
    FLA_Part_2x1( ZB_l,   &none,
                          &Z2_l,             b, FLA_TOP );

    // [ ABR, ZB, T1 ] = FLA_Tridiag_UT_l_step_unb_var3( ABR, ZB, T1, b );
    //FLA_Tridiag_UT_l_step_unb_var3( ABR, ZB, T1_tl );
    //FLA_Tridiag_UT_l_step_ofu_var3( ABR, ZB, T1_tl );
    FLA_Tridiag_UT_l_step_opt_var3( ABR, ZB, T1_tl );

    if ( FLA_Obj_length( A22 ) > 0 )
    {
      // Build UB from ABR, with explicit unit subdiagonal and zeros.
      FLA_Copy_external( ABR_l, UB_l );
      FLA_Part_2x1( UB_l,    &UB_tl, 
                             &UB_bl,            1, FLA_TOP );
      FLA_Triangularize( FLA_LOWER_TRIANGULAR, FLA_UNIT_DIAG, UB_bl );
      FLA_Obj_set_to_scalar( FLA_ZERO, UB_tl );

      // A22 = A22 - U2 * Y2' - Z2 * U2';
      FLA_Her2k_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE,
                          FLA_MINUS_ONE, U2_l, Z2_l, FLA_ONE, A22 );
    }

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00, A01, /**/ A02,
                                                     A10, A11, /**/ A12,
                            /* ************** */  /* ****************** */
                              &ABL, /**/ &ABR,       A20, A21, /**/ A22,
                              FLA_TL );
    FLA_Cont_with_3x1_to_2x1( &UT,                U0, 
                                                  U1, 
                            /* ** */           /* ** */
                              &UB,                U2,     FLA_TOP );
    FLA_Cont_with_3x1_to_2x1( &ZT,                Z0, 
                                                  Z1, 
                            /* ** */           /* ** */
                              &ZB,                Z2,     FLA_TOP );
    FLA_Cont_with_1x3_to_1x2( &TL,  /**/ &TR,        T0, T1, /**/ T2,
                              FLA_LEFT );
  }

  FLA_Obj_free( &U );
  FLA_Obj_free( &Z );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_ofu_var1 ( FLA_Obj  A,
FLA_Obj  T 
)
FLA_Error FLA_Tridiag_UT_l_ofu_var2 ( FLA_Obj  A,
FLA_Obj  T 
)
FLA_Error FLA_Tridiag_UT_l_ofu_var3 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Obj_create_conf_to(), FLA_Obj_free(), and FLA_Tridiag_UT_l_step_ofu_var3().

{
  FLA_Error r_val;
  FLA_Obj   Z;

  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &Z );

  r_val = FLA_Tridiag_UT_l_step_ofu_var3( A, Z, T );

  FLA_Obj_free( &Z );

  return r_val;
}
FLA_Error FLA_Tridiag_UT_l_opt_var1 ( FLA_Obj  A,
FLA_Obj  T 
)
FLA_Error FLA_Tridiag_UT_l_opt_var2 ( FLA_Obj  A,
FLA_Obj  T 
)
FLA_Error FLA_Tridiag_UT_l_opt_var3 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Obj_create_conf_to(), FLA_Obj_free(), and FLA_Tridiag_UT_l_step_opt_var3().

Referenced by FLA_Tridiag_UT_l().

{
  FLA_Error r_val;
  FLA_Obj   Z;

  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &Z );

  r_val = FLA_Tridiag_UT_l_step_opt_var3( A, Z, T );

  FLA_Obj_free( &Z );

  return r_val;
}
FLA_Error FLA_Tridiag_UT_l_step_ofc_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_ofc_var2 ( 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_ccopyv(), bli_cdot(), bli_cgemv(), bli_chemv(), bli_cher2(), bli_cscalv(), FLA_free(), FLA_Fused_Her2_Ax_opc_var1(), FLA_Househ2_UT_l_opc(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_ofu_var2().

{
  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;
  scomplex  minus_upsilon11, minus_conj_upsilon11;
  scomplex  minus_zeta11, minus_conj_zeta11;
  int       i;

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

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );
  scomplex* buff_u = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  scomplex* buff_z = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  scomplex* buff_w = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_u  = 1;
  int       inc_z  = 1;
  int       inc_w  = 1;

  // Initialize some variables (only to prevent compiler warnings).
  first_elem      = *buff_0;
  minus_inv_tau11 = *buff_0;

  for ( i = 0; i < b_alg; ++i )
  {
    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* 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* upsilon11= buff_u + (i  )*inc_u;
    scomplex* u21      = buff_u + (i+1)*inc_u;

    scomplex* zeta11   = buff_z + (i  )*inc_z;
    scomplex* z21      = buff_z + (i+1)*inc_z;

    scomplex* w21      = buff_w + (i+1)*inc_w;

    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       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( upsilon11, minus_upsilon11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 );
      bli_cmult3( buff_m1, upsilon11, &minus_upsilon11 );
      bli_ccopyconj( &minus_upsilon11, &minus_conj_upsilon11 );

      // FLA_Copy( zeta11, minus_zeta11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      // FLA_Copy( minus_zeta11, minus_conj_zeta11 );
      bli_cmult3( buff_m1, zeta11, &minus_zeta11 );
      bli_ccopyconj( &minus_zeta11, &minus_conj_zeta11 );

      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );
      bli_caxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_upsilon11,
                  zeta11,  1,
                  alpha11, 1 );
      bli_caxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_zeta11,
                  upsilon11, 1,
                  alpha11,  1 );

      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
      bli_caxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_zeta11,
                  u21, inc_u,
                  a21, rs_A );
      bli_caxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_upsilon11,
                  z21, inc_z,
                  a21, rs_A );
    }

    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;
    }

    if ( m_behind > 0 && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      FLA_Fused_Her2_Ax_opc_var1( m_ahead,
                                  buff_m1,
                                  u21, inc_u,
                                  z21, inc_z,
                                  A22, rs_A, cs_A,
                                  a21, rs_A,
                                  w21, inc_w );
    }
    else if ( m_ahead > 0 )
    {
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      bli_chemv( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 w21, inc_w );
    }

    if ( m_ahead > 0 )
    {
      // FLA_Copy( a21, u21 );
      // FLA_Copy( w21, z21 );
      bli_ccopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  a21, rs_A,
                  u21, inc_u );
      bli_ccopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  w21, inc_w,
                  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_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;
    }

    if ( m_behind + 1 == b_alg && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_cher2( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_TRANSPOSE,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

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

  }

  // FLA_Obj_free( &u );
  // FLA_Obj_free( &z );
  // FLA_Obj_free( &w );
  FLA_free( buff_u );
  FLA_free( buff_z );
  FLA_free( buff_w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ofc_var3 ( int  m_A,
int  m_T,
scomplex buff_A,
int  rs_A,
int  cs_A,
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_chemv(), bli_cscalv(), bli_csetm(), FLA_Fused_UZhu_ZUhu_opc_var1(), FLA_Househ2_UT_l_opc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_ofu_var3().

{
  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  beta;
  scomplex  inv_tau11;
  scomplex  minus_inv_tau11;
  int       i;

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

  // FLA_Obj_set_to_scalar( FLA_ZERO, Z );
  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* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    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* 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       m_behind = i;
    int       n_behind = i;

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

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

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, 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,
               z10t, cs_Z,
               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 );

    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_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, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
      FLA_Fused_UZhu_ZUhu_opc_var1( m_ahead,
                                    n_behind,
                                    buff_m1,
                                    A20, rs_A, cs_A,
                                    Z20, rs_Z, cs_Z,
                                    a21, rs_A,
                                    z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_cdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_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, rs_Z );
      bli_cscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // 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;
    }

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ofd_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_ofd_var2 ( 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_dcopyv(), bli_ddot(), bli_dgemv(), bli_dscalv(), bli_dsymv(), bli_dsyr2(), FLA_free(), FLA_Fused_Her2_Ax_opd_var1(), FLA_Househ2_UT_l_opd(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_ofu_var2().

{
  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;
  double    minus_upsilon11, minus_conj_upsilon11;
  double    minus_zeta11, minus_conj_zeta11;
  int       i;

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

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );
  double*   buff_u = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  double*   buff_z = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  double*   buff_w = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_u  = 1;
  int       inc_z  = 1;
  int       inc_w  = 1;

  // Initialize some variables (only to prevent compiler warnings).
  first_elem      = *buff_0;
  minus_inv_tau11 = *buff_0;

  for ( i = 0; i < b_alg; ++i )
  {
    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*   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*   upsilon11= buff_u + (i  )*inc_u;
    double*   u21      = buff_u + (i+1)*inc_u;

    double*   zeta11   = buff_z + (i  )*inc_z;
    double*   z21      = buff_z + (i+1)*inc_z;

    double*   w21      = buff_w + (i+1)*inc_w;

    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       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( upsilon11, minus_upsilon11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 );
      bli_dmult3( buff_m1, upsilon11, &minus_upsilon11 );
      bli_dcopyconj( &minus_upsilon11, &minus_conj_upsilon11 );

      // FLA_Copy( zeta11, minus_zeta11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      // FLA_Copy( minus_zeta11, minus_conj_zeta11 );
      bli_dmult3( buff_m1, zeta11, &minus_zeta11 );
      bli_dcopyconj( &minus_zeta11, &minus_conj_zeta11 );

      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );
      bli_daxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_upsilon11,
                  zeta11,  1,
                  alpha11, 1 );
      bli_daxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_zeta11,
                  upsilon11, 1,
                  alpha11,  1 );

      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
      bli_daxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_zeta11,
                  u21, inc_u,
                  a21, rs_A );
      bli_daxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_upsilon11,
                  z21, inc_z,
                  a21, rs_A );
    }

    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;
    }

    if ( m_behind > 0 && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      FLA_Fused_Her2_Ax_opd_var1( m_ahead,
                                  buff_m1,
                                  u21, inc_u,
                                  z21, inc_z,
                                  A22, rs_A, cs_A,
                                  a21, rs_A,
                                  w21, inc_w );
    }
    else if ( m_ahead > 0 )
    {
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      bli_dsymv( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 w21, inc_w );
    }

    if ( m_ahead > 0 )
    {
      // FLA_Copy( a21, u21 );
      // FLA_Copy( w21, z21 );
      bli_dcopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  a21, rs_A,
                  u21, inc_u );
      bli_dcopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  w21, inc_w,
                  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_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;
    }

    if ( m_behind + 1 == b_alg && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_dsyr2( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

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

  }

  // FLA_Obj_free( &u );
  // FLA_Obj_free( &z );
  // FLA_Obj_free( &w );
  FLA_free( buff_u );
  FLA_free( buff_z );
  FLA_free( buff_w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ofd_var3 ( int  m_A,
int  m_T,
double *  buff_A,
int  rs_A,
int  cs_A,
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_dscalv(), bli_dsetm(), bli_dsymv(), FLA_Fused_UZhu_ZUhu_opd_var1(), FLA_Househ2_UT_l_opd(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_ofu_var3().

{
  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    beta;
  double    inv_tau11;
  double    minus_inv_tau11;
  int       i;

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

  // FLA_Obj_set_to_scalar( FLA_ZERO, Z );
  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*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    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*   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       m_behind = i;
    int       n_behind = i;

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

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

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, 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,
               z10t, cs_Z,
               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 );

    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_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, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
      FLA_Fused_UZhu_ZUhu_opd_var1( m_ahead,
                                    n_behind,
                                    buff_m1,
                                    A20, rs_A, cs_A,
                                    Z20, rs_Z, cs_Z,
                                    a21, rs_A,
                                    z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_ddot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_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, rs_Z );
      bli_dscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // 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;
    }

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ofs_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_ofs_var2 ( 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_scopyv(), bli_sdot(), bli_sgemv(), bli_sscalv(), bli_ssymv(), bli_ssyr2(), FLA_free(), FLA_Fused_Her2_Ax_ops_var1(), FLA_Househ2_UT_l_ops(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_ofu_var2().

{
  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;
  float     minus_upsilon11, minus_conj_upsilon11;
  float     minus_zeta11, minus_conj_zeta11;
  int       i;

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

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );
  float*    buff_u = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  float*    buff_z = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  float*    buff_w = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_u  = 1;
  int       inc_z  = 1;
  int       inc_w  = 1;

  // Initialize some variables (only to prevent compiler warnings).
  first_elem      = *buff_0;
  minus_inv_tau11 = *buff_0;

  for ( i = 0; i < b_alg; ++i )
  {
    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*    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*    upsilon11= buff_u + (i  )*inc_u;
    float*    u21      = buff_u + (i+1)*inc_u;

    float*    zeta11   = buff_z + (i  )*inc_z;
    float*    z21      = buff_z + (i+1)*inc_z;

    float*    w21      = buff_w + (i+1)*inc_w;

    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       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( upsilon11, minus_upsilon11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 );
      bli_smult3( buff_m1, upsilon11, &minus_upsilon11 );
      bli_scopyconj( &minus_upsilon11, &minus_conj_upsilon11 );

      // FLA_Copy( zeta11, minus_zeta11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      // FLA_Copy( minus_zeta11, minus_conj_zeta11 );
      bli_smult3( buff_m1, zeta11, &minus_zeta11 );
      bli_scopyconj( &minus_zeta11, &minus_conj_zeta11 );

      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );
      bli_saxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_upsilon11,
                  zeta11,  1,
                  alpha11, 1 );
      bli_saxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_zeta11,
                  upsilon11, 1,
                  alpha11,  1 );

      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
      bli_saxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_zeta11,
                  u21, inc_u,
                  a21, rs_A );
      bli_saxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_upsilon11,
                  z21, inc_z,
                  a21, rs_A );
    }

    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;
    }

    if ( m_behind > 0 && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      FLA_Fused_Her2_Ax_ops_var1( m_ahead,
                                  buff_m1,
                                  u21, inc_u,
                                  z21, inc_z,
                                  A22, rs_A, cs_A,
                                  a21, rs_A,
                                  w21, inc_w );
    }
    else if ( m_ahead > 0 )
    {
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      bli_ssymv( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 w21, inc_w );
    }

    if ( m_ahead > 0 )
    {
      // FLA_Copy( a21, u21 );
      // FLA_Copy( w21, z21 );
      bli_scopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  a21, rs_A,
                  u21, inc_u );
      bli_scopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  w21, inc_w,
                  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_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;
    }

    if ( m_behind + 1 == b_alg && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_ssyr2( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

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

  }

  // FLA_Obj_free( &u );
  // FLA_Obj_free( &z );
  // FLA_Obj_free( &w );
  FLA_free( buff_u );
  FLA_free( buff_z );
  FLA_free( buff_w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ofs_var3 ( int  m_A,
int  m_T,
float *  buff_A,
int  rs_A,
int  cs_A,
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_sscalv(), bli_ssetm(), bli_ssymv(), FLA_Fused_UZhu_ZUhu_ops_var1(), FLA_Househ2_UT_l_ops(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_ofu_var3().

{
  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     beta;
  float     inv_tau11;
  float     minus_inv_tau11;
  int       i;

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

  // FLA_Obj_set_to_scalar( FLA_ZERO, Z );
  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*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    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*    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       m_behind = i;
    int       n_behind = i;

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

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

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, 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,
               z10t, cs_Z,
               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 );

    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_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, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
      FLA_Fused_UZhu_ZUhu_ops_var1( m_ahead,
                                    n_behind,
                                    buff_m1,
                                    A20, rs_A, cs_A,
                                    Z20, rs_Z, cs_Z,
                                    a21, rs_A,
                                    z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_sdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_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, rs_Z );
      bli_sscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // 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;
    }

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

  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ofu_var1 ( FLA_Obj  A,
FLA_Obj  T 
)
FLA_Error FLA_Tridiag_UT_l_step_ofu_var2 ( 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_ofc_var2(), FLA_Tridiag_UT_l_step_ofd_var2(), FLA_Tridiag_UT_l_step_ofs_var2(), and FLA_Tridiag_UT_l_step_ofz_var2().

Referenced by FLA_Tridiag_UT_l_ofu_var2().

{
  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_ofs_var2( 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_ofd_var2( 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_ofc_var2( 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_ofz_var2( 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_ofu_var3 ( FLA_Obj  A,
FLA_Obj  Z,
FLA_Obj  T 
)

References FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Tridiag_UT_l_step_ofc_var3(), FLA_Tridiag_UT_l_step_ofd_var3(), FLA_Tridiag_UT_l_step_ofs_var3(), and FLA_Tridiag_UT_l_step_ofz_var3().

Referenced by FLA_Tridiag_UT_l_ofu_var3().

{
  FLA_Datatype datatype;
  int          m_A, m_T;
  int          rs_A, cs_A;
  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_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_Z = FLA_FLOAT_PTR( Z );
      float* buff_T = FLA_FLOAT_PTR( T );

      FLA_Tridiag_UT_l_step_ofs_var3( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      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_Z = FLA_DOUBLE_PTR( Z );
      double* buff_T = FLA_DOUBLE_PTR( T );

      FLA_Tridiag_UT_l_step_ofd_var3( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      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_Z = FLA_COMPLEX_PTR( Z );
      scomplex* buff_T = FLA_COMPLEX_PTR( T );

      FLA_Tridiag_UT_l_step_ofc_var3( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      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_Z = FLA_DOUBLE_COMPLEX_PTR( Z );
      dcomplex* buff_T = FLA_DOUBLE_COMPLEX_PTR( T );

      FLA_Tridiag_UT_l_step_ofz_var3( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      buff_Z, rs_Z, cs_Z,
                                      buff_T, rs_T, cs_T );

      break;
    }
  }

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ofz_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 
)
FLA_Error FLA_Tridiag_UT_l_step_ofz_var2 ( 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_zcopyv(), bli_zdot(), bli_zgemv(), bli_zhemv(), bli_zher2(), bli_zscalv(), FLA_free(), FLA_Fused_Her2_Ax_opz_var1(), FLA_Househ2_UT_l_opz(), FLA_malloc(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_ofu_var2().

{
  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;
  dcomplex  minus_upsilon11, minus_conj_upsilon11;
  dcomplex  minus_zeta11, minus_conj_zeta11;
  int       i;

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

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );
  dcomplex* buff_u = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  dcomplex* buff_z = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  dcomplex* buff_w = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_u  = 1;
  int       inc_z  = 1;
  int       inc_w  = 1;

  // Initialize some variables (only to prevent compiler warnings).
  first_elem      = *buff_0;
  minus_inv_tau11 = *buff_0;

  for ( i = 0; i < b_alg; ++i )
  {
    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* 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* upsilon11= buff_u + (i  )*inc_u;
    dcomplex* u21      = buff_u + (i+1)*inc_u;

    dcomplex* zeta11   = buff_z + (i  )*inc_z;
    dcomplex* z21      = buff_z + (i+1)*inc_z;

    dcomplex* w21      = buff_w + (i+1)*inc_w;

    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       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( upsilon11, minus_upsilon11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 );
      bli_zmult3( buff_m1, upsilon11, &minus_upsilon11 );
      bli_zcopyconj( &minus_upsilon11, &minus_conj_upsilon11 );

      // FLA_Copy( zeta11, minus_zeta11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      // FLA_Copy( minus_zeta11, minus_conj_zeta11 );
      bli_zmult3( buff_m1, zeta11, &minus_zeta11 );
      bli_zcopyconj( &minus_zeta11, &minus_conj_zeta11 );

      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );
      bli_zaxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_upsilon11,
                  zeta11,  1,
                  alpha11, 1 );
      bli_zaxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_zeta11,
                  upsilon11, 1,
                  alpha11,  1 );

      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
      bli_zaxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_zeta11,
                  u21, inc_u,
                  a21, rs_A );
      bli_zaxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_upsilon11,
                  z21, inc_z,
                  a21, rs_A );
    }

    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;
    }

    if ( m_behind > 0 && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      FLA_Fused_Her2_Ax_opz_var1( m_ahead,
                                  buff_m1,
                                  u21, inc_u,
                                  z21, inc_z,
                                  A22, rs_A, cs_A,
                                  a21, rs_A,
                                  w21, inc_w );
    }
    else if ( m_ahead > 0 )
    {
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      bli_zhemv( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 w21, inc_w );
    }

    if ( m_ahead > 0 )
    {
      // FLA_Copy( a21, u21 );
      // FLA_Copy( w21, z21 );
      bli_zcopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  a21, rs_A,
                  u21, inc_u );
      bli_zcopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  w21, inc_w,
                  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_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;
    }

    if ( m_behind + 1 == b_alg && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_zher2( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_TRANSPOSE,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

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

  }

  // FLA_Obj_free( &u );
  // FLA_Obj_free( &z );
  // FLA_Obj_free( &w );
  FLA_free( buff_u );
  FLA_free( buff_z );
  FLA_free( buff_w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ofz_var3 ( int  m_A,
int  m_T,
dcomplex buff_A,
int  rs_A,
int  cs_A,
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_zhemv(), bli_zscalv(), bli_zsetm(), FLA_Fused_UZhu_ZUhu_opz_var1(), FLA_Househ2_UT_l_opz(), FLA_MINUS_ONE, FLA_ONE, FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_step_ofu_var3().

{
  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  beta;
  dcomplex  inv_tau11;
  dcomplex  minus_inv_tau11;
  int       i;

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

  // FLA_Obj_set_to_scalar( FLA_ZERO, Z );
  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* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    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* 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       m_behind = i;
    int       n_behind = i;

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

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

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, 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,
               z10t, cs_Z,
               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 );

    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_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, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
      FLA_Fused_UZhu_ZUhu_opz_var1( m_ahead,
                                    n_behind,
                                    buff_m1,
                                    A20, rs_A, cs_A,
                                    Z20, rs_Z, cs_Z,
                                    a21, rs_A,
                                    z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_zdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_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, rs_Z );
      bli_zscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // 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;
    }

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

  }

  return FLA_SUCCESS;
}
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_opc_var2 ( 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_ccopyv(), 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_var2().

{
  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;
  scomplex  minus_upsilon11, minus_conj_upsilon11;
  scomplex  minus_zeta11, minus_conj_zeta11;
  int       i;

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

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );
  scomplex* buff_u = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  scomplex* buff_z = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  scomplex* buff_w = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_u  = 1;
  int       inc_z  = 1;
  int       inc_w  = 1;

  // Initialize some variables (only to prevent compiler warnings).
  first_elem      = *buff_0;
  minus_inv_tau11 = *buff_0;

  for ( i = 0; i < b_alg; ++i )
  {
    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* 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* upsilon11= buff_u + (i  )*inc_u;
    scomplex* u21      = buff_u + (i+1)*inc_u;

    scomplex* zeta11   = buff_z + (i  )*inc_z;
    scomplex* z21      = buff_z + (i+1)*inc_z;

    scomplex* w21      = buff_w + (i+1)*inc_w;

    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       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( upsilon11, minus_upsilon11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 );
      bli_cmult3( buff_m1, upsilon11, &minus_upsilon11 );
      bli_ccopyconj( &minus_upsilon11, &minus_conj_upsilon11 );

      // FLA_Copy( zeta11, minus_zeta11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      // FLA_Copy( minus_zeta11, minus_conj_zeta11 );
      bli_cmult3( buff_m1, zeta11, &minus_zeta11 );
      bli_ccopyconj( &minus_zeta11, &minus_conj_zeta11 );

      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );
      bli_caxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_upsilon11,
                  zeta11,  1,
                  alpha11, 1 );
      bli_caxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_zeta11,
                  upsilon11, 1,
                  alpha11,  1 );

      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
      bli_caxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_zeta11,
                  u21, inc_u,
                  a21, rs_A );
      bli_caxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_upsilon11,
                  z21, inc_z,
                  a21, rs_A );
    }

    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;
    }

    if ( m_behind > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_cher2( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_TRANSPOSE,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

    if ( m_ahead > 0 )
    {
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      bli_chemv( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 w21, inc_w );

      // FLA_Copy( a21, u21 );
      // FLA_Copy( w21, z21 );
      bli_ccopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  a21, rs_A,
                  u21, inc_u );
      bli_ccopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  w21, inc_w,
                  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_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;
    }

    if ( m_behind + 1 == b_alg && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_cher2( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_TRANSPOSE,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

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

  }

  // FLA_Obj_free( &u );
  // FLA_Obj_free( &z );
  // FLA_Obj_free( &w );
  FLA_free( buff_u );
  FLA_free( buff_z );
  FLA_free( buff_w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_opc_var3 ( int  m_A,
int  m_T,
scomplex buff_A,
int  rs_A,
int  cs_A,
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_chemv(), bli_cscalv(), bli_csetm(), 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_var3().

{
  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  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, &f );
  scomplex* buff_d = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  scomplex* buff_f = ( scomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_d  = 1;
  int       inc_f  = 1;

  // FLA_Obj_set_to_scalar( FLA_ZERO, Z );
  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* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    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* d01      = buff_d + (0  )*inc_d;

    scomplex* f01      = buff_f + (0  )*inc_f;

    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       m_behind = i;
    int       n_behind = i;

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

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

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, 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,
               z10t, cs_Z,
               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 );

    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_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, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
      bli_cgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 A20, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 d01, inc_d );
      bli_cgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 Z20, rs_Z, cs_Z,
                 a21, rs_A,
                 buff_0,
                 f01, inc_f );

      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
      bli_cgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_m1,
                 A20, rs_A, cs_A,
                 f01, inc_f,
                 buff_1,
                 z21, rs_Z );
      bli_cgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_m1,
                 Z20, rs_Z, cs_Z,
                 d01, inc_d,
                 buff_1,
                 z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_cdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_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, rs_Z );
      bli_cscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // 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( &d );
  // FLA_Obj_free( &f );
  FLA_free( buff_d );
  FLA_free( buff_f );

  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_opd_var2 ( 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_dcopyv(), 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_var2().

{
  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;
  double    minus_upsilon11, minus_conj_upsilon11;
  double    minus_zeta11, minus_conj_zeta11;
  int       i;

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

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );
  double*   buff_u = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  double*   buff_z = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  double*   buff_w = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_u  = 1;
  int       inc_z  = 1;
  int       inc_w  = 1;

  // Initialize some variables (only to prevent compiler warnings).
  first_elem      = *buff_0;
  minus_inv_tau11 = *buff_0;

  for ( i = 0; i < b_alg; ++i )
  {
    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*   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*   upsilon11= buff_u + (i  )*inc_u;
    double*   u21      = buff_u + (i+1)*inc_u;

    double*   zeta11   = buff_z + (i  )*inc_z;
    double*   z21      = buff_z + (i+1)*inc_z;

    double*   w21      = buff_w + (i+1)*inc_w;

    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       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( upsilon11, minus_upsilon11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 );
      bli_dmult3( buff_m1, upsilon11, &minus_upsilon11 );
      bli_dcopyconj( &minus_upsilon11, &minus_conj_upsilon11 );

      // FLA_Copy( zeta11, minus_zeta11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      // FLA_Copy( minus_zeta11, minus_conj_zeta11 );
      bli_dmult3( buff_m1, zeta11, &minus_zeta11 );
      bli_dcopyconj( &minus_zeta11, &minus_conj_zeta11 );

      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );
      bli_daxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_upsilon11,
                  zeta11,  1,
                  alpha11, 1 );
      bli_daxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_zeta11,
                  upsilon11, 1,
                  alpha11,  1 );

      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
      bli_daxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_zeta11,
                  u21, inc_u,
                  a21, rs_A );
      bli_daxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_upsilon11,
                  z21, inc_z,
                  a21, rs_A );
    }

    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;
    }

    if ( m_behind > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_dsyr2( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

    if ( m_ahead > 0 )
    {
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      bli_dsymv( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 w21, inc_w );

      // FLA_Copy( a21, u21 );
      // FLA_Copy( w21, z21 );
      bli_dcopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  a21, rs_A,
                  u21, inc_u );
      bli_dcopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  w21, inc_w,
                  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_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;
    }

    if ( m_behind + 1 == b_alg && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_dsyr2( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

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

  }

  // FLA_Obj_free( &u );
  // FLA_Obj_free( &z );
  // FLA_Obj_free( &w );
  FLA_free( buff_u );
  FLA_free( buff_z );
  FLA_free( buff_w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_opd_var3 ( int  m_A,
int  m_T,
double *  buff_A,
int  rs_A,
int  cs_A,
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_dscalv(), bli_dsetm(), bli_dsymv(), 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_var3().

{
  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    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, &f );
  double*   buff_d = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  double*   buff_f = ( double* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_d  = 1;
  int       inc_f  = 1;

  // FLA_Obj_set_to_scalar( FLA_ZERO, Z );
  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*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    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*   d01      = buff_d + (0  )*inc_d;

    double*   f01      = buff_f + (0  )*inc_f;

    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       m_behind = i;
    int       n_behind = i;

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

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

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, 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,
               z10t, cs_Z,
               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 );

    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_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, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
      bli_dgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 A20, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 d01, inc_d );
      bli_dgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 Z20, rs_Z, cs_Z,
                 a21, rs_A,
                 buff_0,
                 f01, inc_f );

      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
      bli_dgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_m1,
                 A20, rs_A, cs_A,
                 f01, inc_f,
                 buff_1,
                 z21, rs_Z );
      bli_dgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_m1,
                 Z20, rs_Z, cs_Z,
                 d01, inc_d,
                 buff_1,
                 z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_ddot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_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, rs_Z );
      bli_dscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // 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( &d );
  // FLA_Obj_free( &f );
  FLA_free( buff_d );
  FLA_free( buff_f );

  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_ops_var2 ( 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_scopyv(), 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_var2().

{
  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;
  float     minus_upsilon11, minus_conj_upsilon11;
  float     minus_zeta11, minus_conj_zeta11;
  int       i;

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

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );
  float*    buff_u = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  float*    buff_z = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  float*    buff_w = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_u  = 1;
  int       inc_z  = 1;
  int       inc_w  = 1;

  // Initialize some variables (only to prevent compiler warnings).
  first_elem      = *buff_0;
  minus_inv_tau11 = *buff_0;

  for ( i = 0; i < b_alg; ++i )
  {
    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*    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*    upsilon11= buff_u + (i  )*inc_u;
    float*    u21      = buff_u + (i+1)*inc_u;

    float*    zeta11   = buff_z + (i  )*inc_z;
    float*    z21      = buff_z + (i+1)*inc_z;

    float*    w21      = buff_w + (i+1)*inc_w;

    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       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( upsilon11, minus_upsilon11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 );
      bli_smult3( buff_m1, upsilon11, &minus_upsilon11 );
      bli_scopyconj( &minus_upsilon11, &minus_conj_upsilon11 );

      // FLA_Copy( zeta11, minus_zeta11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      // FLA_Copy( minus_zeta11, minus_conj_zeta11 );
      bli_smult3( buff_m1, zeta11, &minus_zeta11 );
      bli_scopyconj( &minus_zeta11, &minus_conj_zeta11 );

      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );
      bli_saxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_upsilon11,
                  zeta11,  1,
                  alpha11, 1 );
      bli_saxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_zeta11,
                  upsilon11, 1,
                  alpha11,  1 );

      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
      bli_saxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_zeta11,
                  u21, inc_u,
                  a21, rs_A );
      bli_saxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_upsilon11,
                  z21, inc_z,
                  a21, rs_A );
    }

    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;
    }

    if ( m_behind > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_ssyr2( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

    if ( m_ahead > 0 )
    {
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      bli_ssymv( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 w21, inc_w );

      // FLA_Copy( a21, u21 );
      // FLA_Copy( w21, z21 );
      bli_scopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  a21, rs_A,
                  u21, inc_u );
      bli_scopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  w21, inc_w,
                  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_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;
    }

    if ( m_behind + 1 == b_alg && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_ssyr2( BLIS_LOWER_TRIANGULAR,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

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

  }

  // FLA_Obj_free( &u );
  // FLA_Obj_free( &z );
  // FLA_Obj_free( &w );
  FLA_free( buff_u );
  FLA_free( buff_z );
  FLA_free( buff_w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_ops_var3 ( int  m_A,
int  m_T,
float *  buff_A,
int  rs_A,
int  cs_A,
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_sscalv(), bli_ssetm(), bli_ssymv(), 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_var3().

{
  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     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, &f );
  float*    buff_d = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  float*    buff_f = ( float* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_d  = 1;
  int       inc_f  = 1;

  // FLA_Obj_set_to_scalar( FLA_ZERO, Z );
  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*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    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*    d01      = buff_d + (0  )*inc_d;

    float*    f01      = buff_f + (0  )*inc_f;

    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       m_behind = i;
    int       n_behind = i;

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

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

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, 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,
               z10t, cs_Z,
               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 );

    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_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, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
      bli_sgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 A20, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 d01, inc_d );
      bli_sgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 Z20, rs_Z, cs_Z,
                 a21, rs_A,
                 buff_0,
                 f01, inc_f );

      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
      bli_sgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_m1,
                 A20, rs_A, cs_A,
                 f01, inc_f,
                 buff_1,
                 z21, rs_Z );
      bli_sgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_m1,
                 Z20, rs_Z, cs_Z,
                 d01, inc_d,
                 buff_1,
                 z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_sdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_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, rs_Z );
      bli_sscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // 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( &d );
  // FLA_Obj_free( &f );
  FLA_free( buff_d );
  FLA_free( buff_f );

  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_opt_var2 ( 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_var2(), FLA_Tridiag_UT_l_step_opd_var2(), FLA_Tridiag_UT_l_step_ops_var2(), and FLA_Tridiag_UT_l_step_opz_var2().

Referenced by FLA_Tridiag_UT_l_blk_var2(), and FLA_Tridiag_UT_l_opt_var2().

{
  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_var2( 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_var2( 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_var2( 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_var2( 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_opt_var3 ( FLA_Obj  A,
FLA_Obj  Z,
FLA_Obj  T 
)

References FLA_Obj_col_stride(), FLA_Obj_datatype(), FLA_Obj_length(), FLA_Obj_row_stride(), FLA_Tridiag_UT_l_step_opc_var3(), FLA_Tridiag_UT_l_step_opd_var3(), FLA_Tridiag_UT_l_step_ops_var3(), and FLA_Tridiag_UT_l_step_opz_var3().

Referenced by FLA_Tridiag_UT_l_blk_var3(), and FLA_Tridiag_UT_l_opt_var3().

{
  FLA_Datatype datatype;
  int          m_A, m_T;
  int          rs_A, cs_A;
  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_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_Z = FLA_FLOAT_PTR( Z );
      float* buff_T = FLA_FLOAT_PTR( T );

      FLA_Tridiag_UT_l_step_ops_var3( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      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_Z = FLA_DOUBLE_PTR( Z );
      double* buff_T = FLA_DOUBLE_PTR( T );

      FLA_Tridiag_UT_l_step_opd_var3( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      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_Z = FLA_COMPLEX_PTR( Z );
      scomplex* buff_T = FLA_COMPLEX_PTR( T );

      FLA_Tridiag_UT_l_step_opc_var3( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      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_Z = FLA_DOUBLE_COMPLEX_PTR( Z );
      dcomplex* buff_T = FLA_DOUBLE_COMPLEX_PTR( T );

      FLA_Tridiag_UT_l_step_opz_var3( m_A,
                                      m_T,
                                      buff_A, rs_A, cs_A,
                                      buff_Z, rs_Z, cs_Z,
                                      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;
}
FLA_Error FLA_Tridiag_UT_l_step_opz_var2 ( 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_zcopyv(), 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_var2().

{
  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;
  dcomplex  minus_upsilon11, minus_conj_upsilon11;
  dcomplex  minus_zeta11, minus_conj_zeta11;
  int       i;

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

  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  // FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );
  dcomplex* buff_u = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  dcomplex* buff_z = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  dcomplex* buff_w = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_u  = 1;
  int       inc_z  = 1;
  int       inc_w  = 1;

  // Initialize some variables (only to prevent compiler warnings).
  first_elem      = *buff_0;
  minus_inv_tau11 = *buff_0;

  for ( i = 0; i < b_alg; ++i )
  {
    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* 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* upsilon11= buff_u + (i  )*inc_u;
    dcomplex* u21      = buff_u + (i+1)*inc_u;

    dcomplex* zeta11   = buff_z + (i  )*inc_z;
    dcomplex* z21      = buff_z + (i+1)*inc_z;

    dcomplex* w21      = buff_w + (i+1)*inc_w;

    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       m_behind = i;
    int       n_behind = i;

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

    if ( m_behind > 0 )
    {
      // FLA_Copy( upsilon11, minus_upsilon11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      // FLA_Copy( minus_upsilon11, minus_conj_upsilon11 );
      bli_zmult3( buff_m1, upsilon11, &minus_upsilon11 );
      bli_zcopyconj( &minus_upsilon11, &minus_conj_upsilon11 );

      // FLA_Copy( zeta11, minus_zeta11 );
      // FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      // FLA_Copy( minus_zeta11, minus_conj_zeta11 );
      bli_zmult3( buff_m1, zeta11, &minus_zeta11 );
      bli_zcopyconj( &minus_zeta11, &minus_conj_zeta11 );

      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      // FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );
      bli_zaxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_upsilon11,
                  zeta11,  1,
                  alpha11, 1 );
      bli_zaxpyv( BLIS_CONJUGATE,
                  1,
                  &minus_zeta11,
                  upsilon11, 1,
                  alpha11,  1 );

      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      // FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
      bli_zaxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_zeta11,
                  u21, inc_u,
                  a21, rs_A );
      bli_zaxpyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &minus_conj_upsilon11,
                  z21, inc_z,
                  a21, rs_A );
    }

    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;
    }

    if ( m_behind > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_zher2( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_TRANSPOSE,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

    if ( m_ahead > 0 )
    {
      // FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );
      bli_zhemv( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 buff_1,
                 A22, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 w21, inc_w );

      // FLA_Copy( a21, u21 );
      // FLA_Copy( w21, z21 );
      bli_zcopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  a21, rs_A,
                  u21, inc_u );
      bli_zcopyv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  w21, inc_w,
                  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_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;
    }

    if ( m_behind + 1 == b_alg && m_ahead > 0 )
    {
      // FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
      bli_zher2( BLIS_LOWER_TRIANGULAR,
                 BLIS_NO_TRANSPOSE,
                 m_ahead,
                 buff_m1,
                 u21, inc_u,
                 z21, inc_z,
                 A22, rs_A, cs_A );
    }

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

  }

  // FLA_Obj_free( &u );
  // FLA_Obj_free( &z );
  // FLA_Obj_free( &w );
  FLA_free( buff_u );
  FLA_free( buff_z );
  FLA_free( buff_w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_opz_var3 ( int  m_A,
int  m_T,
dcomplex buff_A,
int  rs_A,
int  cs_A,
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_zhemv(), bli_zscalv(), bli_zsetm(), 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_var3().

{
  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  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, &f );
  dcomplex* buff_d = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  dcomplex* buff_f = ( dcomplex* ) FLA_malloc( m_A * sizeof( *buff_A ) );
  int       inc_d  = 1;
  int       inc_f  = 1;

  // FLA_Obj_set_to_scalar( FLA_ZERO, Z );
  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* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;

    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* d01      = buff_d + (0  )*inc_d;

    dcomplex* f01      = buff_f + (0  )*inc_f;

    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       m_behind = i;
    int       n_behind = i;

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

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

    // FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, 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,
               z10t, cs_Z,
               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 );

    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_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, rs_Z );

      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      // FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
      bli_zgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 A20, rs_A, cs_A,
                 a21, rs_A,
                 buff_0,
                 d01, inc_d );
      bli_zgemv( BLIS_CONJ_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_1,
                 Z20, rs_Z, cs_Z,
                 a21, rs_A,
                 buff_0,
                 f01, inc_f );

      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      // FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
      bli_zgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_m1,
                 A20, rs_A, cs_A,
                 f01, inc_f,
                 buff_1,
                 z21, rs_Z );
      bli_zgemv( BLIS_NO_TRANSPOSE,
                 BLIS_NO_CONJUGATE,
                 m_ahead,
                 n_behind,
                 buff_m1,
                 Z20, rs_Z, cs_Z,
                 d01, inc_d,
                 buff_1,
                 z21, rs_Z );

      // FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      // FLA_Inv_scal( FLA_TWO, beta );
      bli_zdot( BLIS_CONJUGATE,
                m_ahead,
                a21, rs_A,
                z21, rs_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, rs_Z );
      bli_zscalv( BLIS_NO_CONJUGATE,
                  m_ahead,
                  &inv_tau11,
                  z21, rs_Z );

      // 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( &d );
  // FLA_Obj_free( &f );
  FLA_free( buff_d );
  FLA_free( buff_f );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_unb_var1 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Axpy(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy(), FLA_Dotc(), FLA_Gemv(), FLA_Hemv(), FLA_Her2(), FLA_Househ2_UT(), FLA_Inv_scal(), FLA_Inv_scalc(), FLA_MINUS_ONE, FLA_Obj_create(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_Obj_set_to_scalar(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal(), FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_unb_var1().

{
  FLA_Obj  ATL,   ATR,      A00,  a01,     A02, 
           ABL,   ABR,      a10t, alpha11, a12t,
                            A20,  a21,     A22;
  FLA_Obj  TTL,   TTR,      T00,  t01,   T02, 
           TBL,   TBR,      t10t, tau11, t12t,
                            T20,  t21,   T22;
  FLA_Obj  zT,              z01,
           zB,              zeta11,
                            z21;
  FLA_Obj  z;

  FLA_Obj  inv_tau11;
  FLA_Obj  minus_inv_tau11;
  FLA_Obj  first_elem;
  FLA_Obj  beta;

  FLA_Obj  a21_t,
           a21_b;

  FLA_Datatype datatype_A;
  dim_t        m_A;
  dim_t        b_alg;


  b_alg      = FLA_Obj_length( T );

  datatype_A = FLA_Obj_datatype( A );
  m_A        = FLA_Obj_length( A );

  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &inv_tau11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &minus_inv_tau11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &first_elem );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &beta );
  FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );
  FLA_Part_2x2( T,    &TTL, &TTR,
                      &TBL, &TBR,     0, 0, FLA_TL );
  FLA_Part_2x1( z,    &zT, 
                      &zB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < b_alg )
  {
    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );
    FLA_Repart_2x2_to_3x3( TTL, /**/ TTR,       &T00,  /**/ &t01,   &T02,
                        /* ************* */   /* ************************ */
                                                &t10t, /**/ &tau11, &t12t,
                           TBL, /**/ TBR,       &T20,  /**/ &t21,   &T22,
                           1, 1, FLA_BR );
    FLA_Repart_2x1_to_3x1( zT,                &z01, 
                        /* ** */            /* ****** */
                                              &zeta11, 
                           zB,                &z21,        1, FLA_BOTTOM );

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

    if ( FLA_Obj_length( A22 ) > 0 )
    {
      FLA_Part_2x1( a21,    &a21_t,
                            &a21_b,        1, FLA_TOP );

      // [ u21, tau11, a21 ] = House( a21 );
      FLA_Househ2_UT( FLA_LEFT,
                      a21_t,
                      a21_b, tau11 );

      // inv_tau11       =  1 / tau11;
      // minus_inv_tau11 = -1 / 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 );

      // Save first element of a21_t and set it to one so we can use a21 as
      // u21 in subsequent computations. We will restore a21_t later on.
      FLA_Copy( a21_t, first_elem );
      FLA_Obj_set_to_scalar( FLA_ONE, a21_t );

      // z21 = A22 * u21;
      FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, z21 );

      // beta = u21' * z21 / 2;
      FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      FLA_Inv_scal( FLA_TWO, beta );

      // z21 = ( z21 - beta / tau * u21 ) / tau;
      FLA_Scal( minus_inv_tau11, beta );
      FLA_Axpy( beta, a21, z21 );
      FLA_Scal( inv_tau11, z21 );

      // A22 = A22 - u21 * z21' - z21 * u21';
      FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, z21, A22 );

      // t01 = U20' * u21;
      FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 );

      // Restore first element of a21.
      FLA_Copy( first_elem, a21_t );
    }

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
    FLA_Cont_with_3x3_to_2x2( &TTL, /**/ &TTR,       T00,  t01,   /**/ T02,
                                                     t10t, tau11, /**/ t12t,
                            /* ************** */  /* ********************** */
                              &TBL, /**/ &TBR,       T20,  t21,   /**/ T22,
                              FLA_TL );
    FLA_Cont_with_3x1_to_2x1( &zT,                z01, 
                                                  zeta11, 
                            /* ** */           /* ****** */
                              &zB,                z21,     FLA_TOP );
  }

  FLA_Obj_free( &inv_tau11 );
  FLA_Obj_free( &minus_inv_tau11 );
  FLA_Obj_free( &first_elem );
  FLA_Obj_free( &beta );
  FLA_Obj_free( &z );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_unb_var2 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Axpy(), FLA_Axpyt(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy(), FLA_Copyt(), FLA_Dotc(), FLA_Gemv(), FLA_Hemv(), FLA_Her2(), FLA_Househ2_UT(), FLA_Inv_scal(), FLA_Inv_scalc(), FLA_MINUS_ONE, FLA_Obj_create(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_Obj_set_to_scalar(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal(), FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_unb_var2().

{
  FLA_Obj  ATL,   ATR,      A00,  a01,     A02, 
           ABL,   ABR,      a10t, alpha11, a12t,
                            A20,  a21,     A22;
  FLA_Obj  TTL,   TTR,      T00,  t01,   T02, 
           TBL,   TBR,      t10t, tau11, t12t,
                            T20,  t21,   T22;
  FLA_Obj  uT,              u01,
           uB,              upsilon11,
                            u21;
  FLA_Obj  zT,              z01,
           zB,              zeta11,
                            z21;
  FLA_Obj  wT,              w01,
           wB,              omega11,
                            w21;
  FLA_Obj  u, z, w;

  FLA_Obj  inv_tau11;
  FLA_Obj  minus_inv_tau11;
  FLA_Obj  first_elem;
  FLA_Obj  beta;
  FLA_Obj  minus_upsilon11;
  FLA_Obj  minus_conj_upsilon11;
  FLA_Obj  minus_zeta11;
  FLA_Obj  minus_conj_zeta11;

  FLA_Obj  a21_t,
           a21_b;

  FLA_Datatype datatype_A;
  dim_t        m_A;
  dim_t        b_alg;


  b_alg      = FLA_Obj_length( T );

  datatype_A = FLA_Obj_datatype( A );
  m_A        = FLA_Obj_length( A );

  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &inv_tau11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &minus_inv_tau11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &first_elem );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &beta );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &minus_upsilon11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &minus_conj_upsilon11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &minus_zeta11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &minus_conj_zeta11 );
  FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &u );
  FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &z );
  FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &w );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );
  FLA_Part_2x2( T,    &TTL, &TTR,
                      &TBL, &TBR,     0, 0, FLA_TL );
  FLA_Part_2x1( u,    &uT, 
                      &uB,            0, FLA_TOP );
  FLA_Part_2x1( z,    &zT, 
                      &zB,            0, FLA_TOP );
  FLA_Part_2x1( w,    &wT, 
                      &wB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < b_alg )
  {
    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );
    FLA_Repart_2x2_to_3x3( TTL, /**/ TTR,       &T00,  /**/ &t01,   &T02,
                        /* ************* */   /* ************************ */
                                                &t10t, /**/ &tau11, &t12t,
                           TBL, /**/ TBR,       &T20,  /**/ &t21,   &T22,
                           1, 1, FLA_BR );
    FLA_Repart_2x1_to_3x1( uT,                &u01, 
                        /* ** */            /* ********* */
                                              &upsilon11, 
                           uB,                &u21,        1, FLA_BOTTOM );
    FLA_Repart_2x1_to_3x1( zT,                &z01, 
                        /* ** */            /* ****** */
                                              &zeta11, 
                           zB,                &z21,        1, FLA_BOTTOM );
    FLA_Repart_2x1_to_3x1( wT,                &w01, 
                        /* ** */            /* ******* */
                                              &omega11, 
                           wB,                &w21,        1, FLA_BOTTOM );

    /*------------------------------------------------------------*/
    
    if ( FLA_Obj_length( ATL ) > 0 )
    {
      FLA_Copy( upsilon11, minus_upsilon11 );
      FLA_Scal( FLA_MINUS_ONE, minus_upsilon11 );
      FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, minus_conj_upsilon11 );

      FLA_Copy( zeta11, minus_zeta11 );
      FLA_Scal( FLA_MINUS_ONE, minus_zeta11 );
      FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11, minus_conj_zeta11 );

      // alpha11 = alpha11 - upsilon11 * conj(zeta11) - zeta11 * conj(upsilon11);
      FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_upsilon11, zeta11,    alpha11 );
      FLA_Axpyt( FLA_CONJ_NO_TRANSPOSE, minus_zeta11,    upsilon11, alpha11 );

      // a21 = a21 - conj(zeta11) * u21 - conj(upsilon11) * z21;
      FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_zeta11,    u21, a21 );
      FLA_Axpyt( FLA_NO_TRANSPOSE, minus_conj_upsilon11, z21, a21 );
    }

    if ( FLA_Obj_length( A22 ) > 0 )
    {
      FLA_Part_2x1( a21,    &a21_t,
                            &a21_b,            1, FLA_TOP );

      // [ x21, tau11, a21 ] = House( a21 );
      FLA_Househ2_UT( FLA_LEFT,
                      a21_t,
                      a21_b, tau11 );

      // inv_tau11       =  1 / tau11;
      // minus_inv_tau11 = -1 / 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 );

      // Save first element of a21_t and set it to one so we can use a21 as
      // u21 in subsequent computations. We will restore a21_t later on.
      FLA_Copy( a21_t, first_elem );
      FLA_Obj_set_to_scalar( FLA_ONE, a21_t );
    }

    if ( FLA_Obj_length( ATL ) > 0 )
    {
      // A22 = A22 - u21 * z21' - z21 * u21';
      FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
    }

    if ( FLA_Obj_length( A22 ) > 0 )
    {
      // w21 = A22 * x21;
      FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, w21 );

      // u21 = x21; 
      // z21 = w21;
      FLA_Copy( a21, u21 );
      FLA_Copy( w21, z21 );

      // beta = u21' * z21 / 2;
      FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      FLA_Inv_scal( FLA_TWO, beta );

      // z21 = ( z21 - beta / tau * u21 ) / tau;
      FLA_Scal( minus_inv_tau11, beta );
      FLA_Axpy( beta, a21, z21 );
      FLA_Scal( inv_tau11, z21 );

      // t01 = U20' * u21;
      FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 );

      // Restore first element of a21.
      FLA_Copy( first_elem, a21_t );
    }

    // Update A22 if this is the last iteration; this is needed when we're
    // being called from the blocked routine so A22 is left in a valid state.
    if ( FLA_Obj_length( ATL ) + 1 == b_alg &&
         FLA_Obj_length( A22 ) > 0 )
    {
      // A22 = A22 - u21 * y21' - z21 * u21';
      FLA_Her2( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, u21, z21, A22 );
    }

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
    FLA_Cont_with_3x3_to_2x2( &TTL, /**/ &TTR,       T00,  t01,   /**/ T02,
                                                     t10t, tau11, /**/ t12t,
                            /* ************** */  /* ********************** */
                              &TBL, /**/ &TBR,       T20,  t21,   /**/ T22,
                              FLA_TL );
    FLA_Cont_with_3x1_to_2x1( &uT,                u01, 
                                                  upsilon11, 
                            /* ** */           /* ********* */
                              &uB,                u21,     FLA_TOP );
    FLA_Cont_with_3x1_to_2x1( &zT,                z01, 
                                                  zeta11, 
                            /* ** */           /* ****** */
                              &zB,                z21,     FLA_TOP );
    FLA_Cont_with_3x1_to_2x1( &wT,                w01, 
                                                  omega11, 
                            /* ** */           /* ******* */
                              &wB,                w21,     FLA_TOP );
  }

  FLA_Obj_free( &inv_tau11 );
  FLA_Obj_free( &minus_inv_tau11 );
  FLA_Obj_free( &first_elem );
  FLA_Obj_free( &beta );
  FLA_Obj_free( &minus_upsilon11 );
  FLA_Obj_free( &minus_conj_upsilon11 );
  FLA_Obj_free( &minus_zeta11 );
  FLA_Obj_free( &minus_conj_zeta11 );
  FLA_Obj_free( &u );
  FLA_Obj_free( &z );
  FLA_Obj_free( &w );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_step_unb_var3 ( FLA_Obj  A,
FLA_Obj  Z,
FLA_Obj  T 
)

References FLA_Axpy(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Copy(), FLA_Dotc(), FLA_Gemv(), FLA_Gemvc(), FLA_Hemv(), FLA_Househ2_UT(), FLA_Inv_scal(), FLA_Inv_scalc(), FLA_Merge_2x1(), FLA_MINUS_ONE, FLA_Obj_create(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_Obj_set_to_scalar(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal(), FLA_TWO, and FLA_ZERO.

Referenced by FLA_Tridiag_UT_l_unb_var3().

{
  FLA_Obj  ATL,   ATR,      A00,  a01,     A02, 
           ABL,   ABR,      a10t, alpha11, a12t,
                            A20,  a21,     A22;
  FLA_Obj  ZTL,   ZTR,      Z00,  z011,    Z02, 
           ZBL,   ZBR,      z10t, zeta11, z12t,
                            Z20,  z21,    Z22;
  FLA_Obj  TTL,   TTR,      T00,  t01,   T02, 
           TBL,   TBR,      t10t, tau11, t12t,
                            T20,  t21,   T22;
  FLA_Obj  dT,              d01,
           dB,              delta11,
                            d21;
  FLA_Obj  fT,              f01,
           fB,              phi11,
                            f21;
  FLA_Obj  d, f;

  FLA_Obj  inv_tau11;
  FLA_Obj  minus_inv_tau11;
  FLA_Obj  beta;
  FLA_Obj  first_elem;
  FLA_Obj  last_elem;

  FLA_Obj  a10t_l, a10t_r;
  FLA_Obj  a21_t,
           a21_b;
  FLA_Obj  a2;

  FLA_Datatype datatype_A;
  dim_t        m_A;
  dim_t        b_alg;


  b_alg      = FLA_Obj_length( T );

  datatype_A = FLA_Obj_datatype( A );
  m_A        = FLA_Obj_length( A );

  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &inv_tau11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &minus_inv_tau11 );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &beta );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &first_elem );
  FLA_Obj_create( datatype_A, 1,   1, 0, 0, &last_elem );
  FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &d );
  FLA_Obj_create( datatype_A, m_A, 1, 0, 0, &f );

  FLA_Obj_set_to_scalar( FLA_ZERO, Z );

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );
  FLA_Part_2x2( Z,    &ZTL, &ZTR,
                      &ZBL, &ZBR,     0, 0, FLA_TL );
  FLA_Part_2x2( T,    &TTL, &TTR,
                      &TBL, &TBR,     0, 0, FLA_TL );
  FLA_Part_2x1( d,    &dT, 
                      &dB,            0, FLA_TOP );
  FLA_Part_2x1( f,    &fT, 
                      &fB,            0, FLA_TOP );

  while ( FLA_Obj_length( ATL ) < b_alg )
  {
    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );
    FLA_Repart_2x2_to_3x3( ZTL, /**/ ZTR,       &Z00,  /**/ &z011,    &Z02,
                        /* ************* */   /* ************************* */
                                                &z10t, /**/ &zeta11, &z12t,
                           ZBL, /**/ ZBR,       &Z20,  /**/ &z21,    &Z22,
                           1, 1, FLA_BR );
    FLA_Repart_2x2_to_3x3( TTL, /**/ TTR,       &T00,  /**/ &t01,   &T02,
                        /* ************* */   /* ************************ */
                                                &t10t, /**/ &tau11, &t12t,
                           TBL, /**/ TBR,       &T20,  /**/ &t21,   &T22,
                           1, 1, FLA_BR );
    FLA_Repart_2x1_to_3x1( dT,                &d01, 
                        /* ** */            /* ******* */
                                              &delta11, 
                           dB,                &d21,        1, FLA_BOTTOM );
    FLA_Repart_2x1_to_3x1( fT,                &f01, 
                        /* ** */            /* ***** */
                                              &phi11, 
                           fB,                &f21,        1, FLA_BOTTOM );

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

    // Save first element of a10_r and set it to one so we can use a10t as
    // u10t in subsequent computations. We will restore a10_r later on.
    if ( FLA_Obj_length( ATL ) > 0 )
    {
      FLA_Part_1x2( a10t,   &a10t_l, &a10t_r,     1, FLA_RIGHT );
      FLA_Copy( a10t_r, last_elem );
      FLA_Obj_set_to_scalar( FLA_ONE, a10t_r );
    }
  
    FLA_Merge_2x1( alpha11,
                   a21,      &a2 );

    // alpha11 = alpha11 - u10t * z10t' - z10t * u10t';
    // a21     = a21     - U20  * z10t' - Z20  * u10t';
    FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ABL, z10t, FLA_ONE, a2 );
    FLA_Gemvc( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, ZBL, a10t, FLA_ONE, a2 );

    // Restore last element of a10t.
    if ( FLA_Obj_length( ATL ) > 0 )
    {
      FLA_Copy( last_elem, a10t_r );
    }

    if ( FLA_Obj_length( A22 ) > 0 )
    {
      FLA_Part_2x1( a21,    &a21_t,
                            &a21_b,            1, FLA_TOP );

      // [ u21, tau11, a21 ] = House( a21 );
      FLA_Househ2_UT( FLA_LEFT,
                      a21_t,
                      a21_b, tau11 );
  
      // inv_tau11       =  1 / tau11;
      // minus_inv_tau11 = -1 / 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 );

      // Save first element of a21_t and set it to one.
      FLA_Copy( a21_t, first_elem );
      FLA_Obj_set_to_scalar( FLA_ONE, a21_t );
  
      // z21 = A22 * u21;
      FLA_Hemv( FLA_LOWER_TRIANGULAR, FLA_ONE, A22, a21, FLA_ZERO, z21 );
 
      FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, d01 );
      FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, Z20, a21, FLA_ZERO, f01 );
  
      // z21 = z21 - U20 * ( Z20' * u21 ) - Z20 * ( U20' * u21 );
      FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, f01, FLA_ONE, z21 );
      FLA_Gemv( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, Z20, d01, FLA_ONE, z21 );
  
      // beta = u21' * z21 / 2;
      FLA_Dotc( FLA_CONJUGATE, a21, z21, beta );
      FLA_Inv_scal( FLA_TWO, beta );
  
      // z21 = ( z21 - beta / tau * u21 ) / tau;
      FLA_Scal( minus_inv_tau11, beta );
      FLA_Axpy( beta, a21, z21 );
      FLA_Scal( inv_tau11, z21 );
  
      // t01 = U20' * u21;
      FLA_Gemv( FLA_CONJ_TRANSPOSE, FLA_ONE, A20, a21, FLA_ZERO, t01 );

      // Restore first element of a21.
      FLA_Copy( first_elem, a21_t );
    }

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
    FLA_Cont_with_3x3_to_2x2( &ZTL, /**/ &ZTR,       Z00,  z011,    /**/ Z02,
                                                     z10t, zeta11, /**/ z12t,
                            /* ************** */  /* *********************** */
                              &ZBL, /**/ &ZBR,       Z20,  z21,    /**/ Z22,
                              FLA_TL );
    FLA_Cont_with_3x3_to_2x2( &TTL, /**/ &TTR,       T00,  t01,   /**/ T02,
                                                     t10t, tau11, /**/ t12t,
                            /* ************** */  /* ********************** */
                              &TBL, /**/ &TBR,       T20,  t21,   /**/ T22,
                              FLA_TL );
    FLA_Cont_with_3x1_to_2x1( &dT,                d01, 
                                                  delta11, 
                            /* ** */           /* ******* */
                              &dB,                d21,     FLA_TOP );
    FLA_Cont_with_3x1_to_2x1( &fT,                f01, 
                                                  phi11, 
                            /* ** */           /* ***** */
                              &fB,                f21,     FLA_TOP );
  }

  FLA_Obj_free( &inv_tau11 );
  FLA_Obj_free( &minus_inv_tau11 );
  FLA_Obj_free( &beta );
  FLA_Obj_free( &first_elem );
  FLA_Obj_free( &last_elem );
  FLA_Obj_free( &d );
  FLA_Obj_free( &f );

  return FLA_SUCCESS;
}
FLA_Error FLA_Tridiag_UT_l_unb_var1 ( FLA_Obj  A,
FLA_Obj  T 
)
FLA_Error FLA_Tridiag_UT_l_unb_var2 ( FLA_Obj  A,
FLA_Obj  T 
)
FLA_Error FLA_Tridiag_UT_l_unb_var3 ( FLA_Obj  A,
FLA_Obj  T 
)

References FLA_Obj_create_conf_to(), FLA_Obj_free(), and FLA_Tridiag_UT_l_step_unb_var3().

Referenced by FLA_Tridiag_UT_l().

{
  FLA_Error r_val;
  FLA_Obj   Z;

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

  r_val = FLA_Tridiag_UT_l_step_unb_var3( A, Z, T );

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

  return r_val;
}