FLA_Lyap_n_opt_var1.c File Reference

(r)

Functions
FLA_Error	FLA_Lyap_n_opt_var1 (FLA_Obj isgn, FLA_Obj A, FLA_Obj C)
FLA_Error	FLA_Lyap_n_ops_var1 (int m_AC, float *buff_sgn, float *buff_A, int rs_A, int cs_A, float *buff_W, int rs_W, int cs_W, float *buff_C, int rs_C, int cs_C)
FLA_Error	FLA_Lyap_n_opd_var1 (int m_AC, double *buff_sgn, double *buff_A, int rs_A, int cs_A, double *buff_W, int rs_W, int cs_W, double *buff_C, int rs_C, int cs_C)
FLA_Error	FLA_Lyap_n_opc_var1 (int m_AC, scomplex *buff_sgn, scomplex *buff_A, int rs_A, int cs_A, scomplex *buff_W, int rs_W, int cs_W, scomplex *buff_C, int rs_C, int cs_C)
FLA_Error	FLA_Lyap_n_opz_var1 (int m_AC, dcomplex *buff_sgn, dcomplex *buff_A, int rs_A, int cs_A, dcomplex *buff_W, int rs_W, int cs_W, dcomplex *buff_C, int rs_C, int cs_C)

Function Documentation

FLA_Lyap_n_opc_var1()

FLA_Error FLA_Lyap_n_opc_var1	(	int	m_AC,
		scomplex *	buff_sgn,
		scomplex *	buff_A,
		int	rs_A,
		int	cs_A,
		scomplex *	buff_W,
		int	rs_W,
		int	cs_W,
		scomplex *	buff_C,
		int	rs_C,
		int	cs_C
	)

{
  scomplex* buff_1   = FLA_COMPLEX_PTR( FLA_ONE );
  scomplex* buff_m1  = FLA_COMPLEX_PTR( FLA_MINUS_ONE );
  int       i;
 
  bl1_cscalm( BLIS1_NO_CONJUGATE,
              m_AC,
              m_AC,
              buff_sgn,
              buff_C, rs_C, cs_C );
 
  for ( i = m_AC - 1; i >= 0; --i )
  {
    scomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    scomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;
    scomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;
 
    scomplex* gamma11  = buff_C + (i  )*cs_C + (i  )*rs_C;
    scomplex* c12t     = buff_C + (i+1)*cs_C + (i  )*rs_C;
    scomplex* C22      = buff_C + (i+1)*cs_C + (i+1)*rs_C;
 
    scomplex* W22      = buff_W + (i+1)*cs_W + (i+1)*rs_W;
 
    scomplex  omega;
 
    int       m_ahead  = m_AC - i - 1;
 
    /*------------------------------------------------------------*/
 
    // FLA_Hemvc( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, C22, a12t, FLA_ONE, c12t );
    bl1_chemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               C22,  rs_C, cs_C,
               a12t, cs_A,
               buff_1,
               c12t, cs_C );
 
    // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, A22, W22 );
    // FLA_Shift_diag( FLA_NO_CONJUGATE, alpha11, W22 );
    // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t );
    bl1_ccopymrt( BLIS1_UPPER_TRIANGULAR,
                  BLIS1_CONJ_NO_TRANSPOSE,
                  m_ahead,
                  m_ahead,
                  A22, rs_A, cs_A,
                  W22, rs_W, cs_W );
 
    bl1_cshiftdiag( BLIS1_NO_CONJUGATE,
                    0,
                    m_ahead,
                    m_ahead,
                    alpha11,
                    W22, rs_W, cs_W );
 
    bl1_ctrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               W22,  rs_W, cs_W,
               c12t, cs_C );
 
    // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, FLA_ONE, gamma11 );
    bl1_cdot2s( BLIS1_CONJUGATE,
                m_ahead,
                buff_m1,
                a12t, cs_A,
                c12t, cs_C,
                buff_1,
                gamma11 );
 
    // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega );
    // FLA_Mult_add( FLA_ONE, alpha11, omega );
    // FLA_Inv_scal( omega, gamma11 );
    bl1_ccopyconj( alpha11, &omega );
    bl1_cadd3( alpha11, &omega, &omega );
    bl1_cinvscals( &omega, gamma11 );
 
    /*------------------------------------------------------------*/
  }
 
  return FLA_SUCCESS;
}

References bl1_ccopymrt(), bl1_cdot2s(), bl1_chemv(), bl1_cscalm(), bl1_cshiftdiag(), bl1_ctrsv(), BLIS1_CONJ_NO_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_NONUNIT_DIAG, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_Lyap_n_opt_var1().

FLA_Lyap_n_opd_var1()

FLA_Error FLA_Lyap_n_opd_var1	(	int	m_AC,
		double *	buff_sgn,
		double *	buff_A,
		int	rs_A,
		int	cs_A,
		double *	buff_W,
		int	rs_W,
		int	cs_W,
		double *	buff_C,
		int	rs_C,
		int	cs_C
	)

{
  double*   buff_1   = FLA_DOUBLE_PTR( FLA_ONE );
  double*   buff_m1  = FLA_DOUBLE_PTR( FLA_MINUS_ONE );
  int       i;
 
  bl1_dscalm( BLIS1_NO_CONJUGATE,
              m_AC,
              m_AC,
              buff_sgn,
              buff_C, rs_C, cs_C );
 
  for ( i = m_AC - 1; i >= 0; --i )
  {
    double*   alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    double*   a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;
    double*   A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;
 
    double*   gamma11  = buff_C + (i  )*cs_C + (i  )*rs_C;
    double*   c12t     = buff_C + (i+1)*cs_C + (i  )*rs_C;
    double*   C22      = buff_C + (i+1)*cs_C + (i+1)*rs_C;
 
    double*   W22      = buff_W + (i+1)*cs_W + (i+1)*rs_W;
 
    double    omega;
 
    int       m_ahead  = m_AC - i - 1;
 
    /*------------------------------------------------------------*/
 
    // FLA_Hemvc( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, C22, a12t, FLA_ONE, c12t );
    bl1_dhemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               C22,  rs_C, cs_C,
               a12t, cs_A,
               buff_1,
               c12t, cs_C );
 
    // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, A22, W22 );
    // FLA_Shift_diag( FLA_NO_CONJUGATE, alpha11, W22 );
    // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t );
    bl1_dcopymrt( BLIS1_UPPER_TRIANGULAR,
                  BLIS1_CONJ_NO_TRANSPOSE,
                  m_ahead,
                  m_ahead,
                  A22, rs_A, cs_A,
                  W22, rs_W, cs_W );
 
    bl1_dshiftdiag( BLIS1_NO_CONJUGATE,
                    0,
                    m_ahead,
                    m_ahead,
                    alpha11,
                    W22, rs_W, cs_W );
 
    bl1_dtrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               W22,  rs_W, cs_W,
               c12t, cs_C );
 
    // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, FLA_ONE, gamma11 );
    bl1_ddot2s( BLIS1_CONJUGATE,
                m_ahead,
                buff_m1,
                a12t, cs_A,
                c12t, cs_C,
                buff_1,
                gamma11 );
 
    // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega );
    // FLA_Mult_add( FLA_ONE, alpha11, omega );
    // FLA_Inv_scal( omega, gamma11 );
    bl1_dcopyconj( alpha11, &omega );
    bl1_dadd3( alpha11, &omega, &omega );
    bl1_dinvscals( &omega, gamma11 );
 
    /*------------------------------------------------------------*/
  }
 
  return FLA_SUCCESS;
}

References bl1_dcopymrt(), bl1_ddot2s(), bl1_dhemv(), bl1_dscalm(), bl1_dshiftdiag(), bl1_dtrsv(), BLIS1_CONJ_NO_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_NONUNIT_DIAG, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_Lyap_n_opt_var1().

FLA_Lyap_n_ops_var1()

FLA_Error FLA_Lyap_n_ops_var1	(	int	m_AC,
		float *	buff_sgn,
		float *	buff_A,
		int	rs_A,
		int	cs_A,
		float *	buff_W,
		int	rs_W,
		int	cs_W,
		float *	buff_C,
		int	rs_C,
		int	cs_C
	)

{
  float*    buff_1   = FLA_FLOAT_PTR( FLA_ONE );
  float*    buff_m1  = FLA_FLOAT_PTR( FLA_MINUS_ONE );
  int       i;
 
  bl1_sscalm( BLIS1_NO_CONJUGATE,
              m_AC,
              m_AC,
              buff_sgn,
              buff_C, rs_C, cs_C );
 
  for ( i = m_AC - 1; i >= 0; --i )
  {
    float*    alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    float*    a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;
    float*    A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;
 
    float*    gamma11  = buff_C + (i  )*cs_C + (i  )*rs_C;
    float*    c12t     = buff_C + (i+1)*cs_C + (i  )*rs_C;
    float*    C22      = buff_C + (i+1)*cs_C + (i+1)*rs_C;
 
    float*    W22      = buff_W + (i+1)*cs_W + (i+1)*rs_W;
 
    float     omega;
 
    int       m_ahead  = m_AC - i - 1;
 
    /*------------------------------------------------------------*/
 
    // FLA_Hemvc( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, C22, a12t, FLA_ONE, c12t );
    bl1_shemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               C22,  rs_C, cs_C,
               a12t, cs_A,
               buff_1,
               c12t, cs_C );
 
    // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, A22, W22 );
    // FLA_Shift_diag( FLA_NO_CONJUGATE, alpha11, W22 );
    // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t );
    bl1_scopymrt( BLIS1_UPPER_TRIANGULAR,
                  BLIS1_CONJ_NO_TRANSPOSE,
                  m_ahead,
                  m_ahead,
                  A22, rs_A, cs_A,
                  W22, rs_W, cs_W );
 
    bl1_sshiftdiag( BLIS1_NO_CONJUGATE,
                    0,
                    m_ahead,
                    m_ahead,
                    alpha11,
                    W22, rs_W, cs_W );
 
    bl1_strsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               W22,  rs_W, cs_W,
               c12t, cs_C );
 
    // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, FLA_ONE, gamma11 );
    bl1_sdot2s( BLIS1_CONJUGATE,
                m_ahead,
                buff_m1,
                a12t, cs_A,
                c12t, cs_C,
                buff_1,
                gamma11 );
 
    // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega );
    // FLA_Mult_add( FLA_ONE, alpha11, omega );
    // FLA_Inv_scal( omega, gamma11 );
    bl1_scopyconj( alpha11, &omega );
    bl1_sadd3( alpha11, &omega, &omega );
    bl1_sinvscals( &omega, gamma11 );
 
    /*------------------------------------------------------------*/
  }
 
  return FLA_SUCCESS;
}

References bl1_scopymrt(), bl1_sdot2s(), bl1_shemv(), bl1_sscalm(), bl1_sshiftdiag(), bl1_strsv(), BLIS1_CONJ_NO_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_NONUNIT_DIAG, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_Lyap_n_opt_var1().

FLA_Lyap_n_opt_var1()

FLA_Error FLA_Lyap_n_opt_var1	(	FLA_Obj	isgn,
		FLA_Obj	A,
		FLA_Obj	C
	)

{
  FLA_Datatype datatype;
  int          m_AC;
  int          rs_A, cs_A;
  int          rs_W, cs_W;
  int          rs_C, cs_C;
  FLA_Obj      W;
 
  FLA_Obj_create_conf_to( FLA_NO_TRANSPOSE, A, &W );
 
  datatype = FLA_Obj_datatype( A );
 
  m_AC     = FLA_Obj_length( A );
 
  rs_A     = FLA_Obj_row_stride( A );
  cs_A     = FLA_Obj_col_stride( A );
 
  rs_W     = FLA_Obj_row_stride( W );
  cs_W     = FLA_Obj_col_stride( W );
 
  rs_C     = FLA_Obj_row_stride( C );
  cs_C     = FLA_Obj_col_stride( C );
 
  switch ( datatype )
  {
    case FLA_FLOAT:
    {
      float* buff_A   = FLA_FLOAT_PTR( A );
      float* buff_W   = FLA_FLOAT_PTR( W );
      float* buff_C   = FLA_FLOAT_PTR( C );
      float* buff_sgn = FLA_FLOAT_PTR( isgn );
 
      FLA_Lyap_n_ops_var1( m_AC,
                           buff_sgn,
                           buff_A, rs_A, cs_A,
                           buff_W, rs_W, cs_W,
                           buff_C, rs_C, cs_C );
 
      break;
    }
 
    case FLA_DOUBLE:
    {
      double* buff_A   = FLA_DOUBLE_PTR( A );
      double* buff_W   = FLA_DOUBLE_PTR( W );
      double* buff_C   = FLA_DOUBLE_PTR( C );
      double* buff_sgn = FLA_DOUBLE_PTR( isgn );
 
      FLA_Lyap_n_opd_var1( m_AC,
                           buff_sgn,
                           buff_A, rs_A, cs_A,
                           buff_W, rs_W, cs_W,
                           buff_C, rs_C, cs_C );
 
      break;
    }
 
    case FLA_COMPLEX:
    {
      scomplex* buff_A   = FLA_COMPLEX_PTR( A );
      scomplex* buff_W   = FLA_COMPLEX_PTR( W );
      scomplex* buff_C   = FLA_COMPLEX_PTR( C );
      scomplex* buff_sgn = FLA_COMPLEX_PTR( isgn );
 
      FLA_Lyap_n_opc_var1( m_AC,
                           buff_sgn,
                           buff_A, rs_A, cs_A,
                           buff_W, rs_W, cs_W,
                           buff_C, rs_C, cs_C );
 
      break;
    }
 
    case FLA_DOUBLE_COMPLEX:
    {
      dcomplex* buff_A   = FLA_DOUBLE_COMPLEX_PTR( A );
      dcomplex* buff_W   = FLA_DOUBLE_COMPLEX_PTR( W );
      dcomplex* buff_C   = FLA_DOUBLE_COMPLEX_PTR( C );
      dcomplex* buff_sgn = FLA_DOUBLE_COMPLEX_PTR( isgn );
 
      FLA_Lyap_n_opz_var1( m_AC,
                           buff_sgn,
                           buff_A, rs_A, cs_A,
                           buff_W, rs_W, cs_W,
                           buff_C, rs_C, cs_C );
 
      break;
    }
  }
 
  FLA_Obj_free( &W );
 
  return FLA_SUCCESS;
}

References FLA_Lyap_n_opc_var1(), FLA_Lyap_n_opd_var1(), FLA_Lyap_n_ops_var1(), FLA_Lyap_n_opz_var1(), FLA_Obj_col_stride(), FLA_Obj_create_conf_to(), FLA_Obj_datatype(), FLA_Obj_free(), FLA_Obj_length(), FLA_Obj_row_stride(), and i.

Referenced by FLA_Lyap_n().

FLA_Lyap_n_opz_var1()

FLA_Error FLA_Lyap_n_opz_var1	(	int	m_AC,
		dcomplex *	buff_sgn,
		dcomplex *	buff_A,
		int	rs_A,
		int	cs_A,
		dcomplex *	buff_W,
		int	rs_W,
		int	cs_W,
		dcomplex *	buff_C,
		int	rs_C,
		int	cs_C
	)

{
  dcomplex* buff_1   = FLA_DOUBLE_COMPLEX_PTR( FLA_ONE );
  dcomplex* buff_m1  = FLA_DOUBLE_COMPLEX_PTR( FLA_MINUS_ONE );
  int       i;
 
  bl1_zscalm( BLIS1_NO_CONJUGATE,
              m_AC,
              m_AC,
              buff_sgn,
              buff_C, rs_C, cs_C );
 
  for ( i = m_AC - 1; i >= 0; --i )
  {
    dcomplex* alpha11  = buff_A + (i  )*cs_A + (i  )*rs_A;
    dcomplex* a12t     = buff_A + (i+1)*cs_A + (i  )*rs_A;
    dcomplex* A22      = buff_A + (i+1)*cs_A + (i+1)*rs_A;
 
    dcomplex* gamma11  = buff_C + (i  )*cs_C + (i  )*rs_C;
    dcomplex* c12t     = buff_C + (i+1)*cs_C + (i  )*rs_C;
    dcomplex* C22      = buff_C + (i+1)*cs_C + (i+1)*rs_C;
 
    dcomplex* W22      = buff_W + (i+1)*cs_W + (i+1)*rs_W;
 
    dcomplex  omega;
 
    int       m_ahead  = m_AC - i - 1;
 
    /*------------------------------------------------------------*/
 
    // FLA_Hemvc( FLA_UPPER_TRIANGULAR, FLA_CONJUGATE, FLA_MINUS_ONE, C22, a12t, FLA_ONE, c12t );
    bl1_zhemv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_CONJUGATE,
               m_ahead,
               buff_m1,
               C22,  rs_C, cs_C,
               a12t, cs_A,
               buff_1,
               c12t, cs_C );
 
    // FLA_Copyrt( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, A22, W22 );
    // FLA_Shift_diag( FLA_NO_CONJUGATE, alpha11, W22 );
    // FLA_Trsv( FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, W22, c12t );
    bl1_zcopymrt( BLIS1_UPPER_TRIANGULAR,
                  BLIS1_CONJ_NO_TRANSPOSE,
                  m_ahead,
                  m_ahead,
                  A22, rs_A, cs_A,
                  W22, rs_W, cs_W );
 
    bl1_zshiftdiag( BLIS1_NO_CONJUGATE,
                    0,
                    m_ahead,
                    m_ahead,
                    alpha11,
                    W22, rs_W, cs_W );
 
    bl1_ztrsv( BLIS1_UPPER_TRIANGULAR,
               BLIS1_NO_TRANSPOSE,
               BLIS1_NONUNIT_DIAG,
               m_ahead,
               W22,  rs_W, cs_W,
               c12t, cs_C );
 
    // FLA_Dot2cs( FLA_CONJUGATE, FLA_MINUS_ONE, a12t, c12t, FLA_ONE, gamma11 );
    bl1_zdot2s( BLIS1_CONJUGATE,
                m_ahead,
                buff_m1,
                a12t, cs_A,
                c12t, cs_C,
                buff_1,
                gamma11 );
 
    // FLA_Copyt( FLA_CONJ_NO_TRANSPOSE, alpha11, omega );
    // FLA_Mult_add( FLA_ONE, alpha11, omega );
    // FLA_Inv_scal( omega, gamma11 );
    bl1_zcopyconj( alpha11, &omega );
    bl1_zadd3( alpha11, &omega, &omega );
    bl1_zinvscals( &omega, gamma11 );
 
    /*------------------------------------------------------------*/
  }
 
  return FLA_SUCCESS;
}

References bl1_zcopymrt(), bl1_zdot2s(), bl1_zhemv(), bl1_zscalm(), bl1_zshiftdiag(), bl1_ztrsv(), BLIS1_CONJ_NO_TRANSPOSE, BLIS1_CONJUGATE, BLIS1_NO_CONJUGATE, BLIS1_NO_TRANSPOSE, BLIS1_NONUNIT_DIAG, BLIS1_UPPER_TRIANGULAR, FLA_MINUS_ONE, FLA_ONE, and i.

Referenced by FLA_Lyap_n_opt_var1().