コード例 #1
0
FLA_Error FLA_Herk_un_unb_var4( FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C )
{
  FLA_Obj AT,              A0,
          AB,              a1t,
                           A2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;

  FLA_Scalr_external( FLA_UPPER_TRIANGULAR, beta, C );

  FLA_Part_2x1( A,    &AT, 
                      &AB,            0, FLA_BOTTOM );

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_BR );

  while ( FLA_Obj_length( AB ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x1_to_3x1( AT,                &A0, 
                                              &a1t, 
                        /* ** */            /* *** */
                           AB,                &A2,        1, FLA_TOP );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  &c01,     /**/ &C02,
                                                &c10t, &gamma11, /**/ &c12t,
                        /* ************* */   /* ************************** */
                           CBL, /**/ CBR,       &C20,  &c21,     /**/ &C22,
                           1, 1, FLA_TL );

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

    /* c01     = c01     + A0  * a1t' */
    FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, alpha, A0, a1t, FLA_ONE, c01 );

    /* gamma11 = gamma11 + a1t * a1t' */
    FLA_Dotcs_external( FLA_CONJUGATE, alpha, a1t, a1t, FLA_ONE, gamma11 );

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

    FLA_Cont_with_3x1_to_2x1( &AT,                A0, 
                            /* ** */           /* *** */
                                                  a1t, 
                              &AB,                A2,     FLA_BOTTOM );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  /**/ c01,     C02,
                            /* ************** */  /* ************************ */
                                                     c10t, /**/ gamma11, c12t,
                              &CBL, /**/ &CBR,       C20,  /**/ c21,     C22,
                              FLA_BR );

  }

  return FLA_SUCCESS;
}
コード例 #2
0
ファイル: FLA_Herk_lh_unb_var1.c プロジェクト: pgawron/tlash
FLA_Error FLA_Herk_lh_unb_var1( FLA_Obj alpha, FLA_Obj A, FLA_Obj beta, FLA_Obj C )
{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj CTL,   CTR,      C00,  c01,     C02, 
          CBL,   CBR,      c10t, gamma11, c12t,
                           C20,  c21,     C22;

  FLA_Scalr_external( FLA_LOWER_TRIANGULAR, beta, C );

  FLA_Part_1x2( A,    &AL,  &AR,      0, FLA_LEFT );

  FLA_Part_2x2( C,    &CTL, &CTR,
                      &CBL, &CBR,     0, 0, FLA_TL );

  while ( FLA_Obj_width( AL ) < FLA_Obj_width( A ) ){

    FLA_Repart_1x2_to_1x3( AL,  /**/ AR,        &A0, /**/ &a1, &A2,
                           1, FLA_RIGHT );

    FLA_Repart_2x2_to_3x3( CTL, /**/ CTR,       &C00,  /**/ &c01,     &C02,
                        /* ************* */   /* ************************** */
                                                &c10t, /**/ &gamma11, &c12t,
                           CBL, /**/ CBR,       &C20,  /**/ &c21,     &C22,
                           1, 1, FLA_BR );

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

    /* C10 = C10 + A1' * A0 */
    /* c10t    = c10t    + A0' * a1 */
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, alpha, A0, a1, FLA_ONE, c10t );

    /* gamma11 = gamma11 + a1' * a1 */
    FLA_Dotcs_external( FLA_CONJUGATE, alpha, a1, a1, FLA_ONE, gamma11 );

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

    FLA_Cont_with_1x3_to_1x2( &AL,  /**/ &AR,        A0, a1, /**/ A2,
                              FLA_LEFT );

    FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR,       C00,  c01,     /**/ C02,
                                                     c10t, gamma11, /**/ c12t,
                            /* ************** */  /* ************************ */
                              &CBL, /**/ &CBR,       C20,  c21,     /**/ C22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}
コード例 #3
0
FLA_Error FLA_Chol_u_unb_var2( FLA_Obj A )
{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02,
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  int r_val = FLA_SUCCESS;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

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

    // alpha11 = alpha11 - a01' * a01
    FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a01, a01, FLA_ONE, alpha11 );

    // a12t = a12t - a01' * A02
    // a12t' = a12t' - A02' * conj(a01)
    FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A02, a01, FLA_ONE, a12t );

    // alpha11 = sqrt( alpha11 )
    r_val = FLA_Sqrt( alpha11 );

    if ( r_val != FLA_SUCCESS )
      return ( FLA_Obj_length( A00 ) );

    // a12t = a12t / alpha11
    FLA_Inv_scal_external( alpha11, a12t );

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
  }

  return r_val;
}
コード例 #4
0
FLA_Error FLA_Chol_l_unb_var1( FLA_Obj A )
{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02,
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  int r_val = FLA_SUCCESS;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

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

    // a10t = a10t * inv( tril( A00 )' )
    // a10t' = inv( conj( tril( A00 ) ) ) * a10t'
    FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );

    // alpha11 = alpha11 - a10t * a10t'
    FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 );

    // alpha11 = sqrt( alpha11 )
    r_val = FLA_Sqrt( alpha11 );

    if ( r_val != FLA_SUCCESS )
      return ( FLA_Obj_length( A00 ) );

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );
  }

  return r_val;
}
コード例 #5
0
FLA_Error FLA_Ttmm_u_unb_var3( FLA_Obj A )
{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02,
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Part_2x2( A,    &ATL, &ATR,
                      &ABL, &ABR,     0, 0, FLA_TL );

  while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){

    FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
                        /* ************* */   /* ************************** */
                                                &a10t, /**/ &alpha11, &a12t,
                           ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
                           1, 1, FLA_BR );

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

    // alpha11 = alpha11 * alpha11'
    FLA_Absolute_square( alpha11 );

    // alpha11 = alpha11 + a12t * a12t'
    FLA_Dotcs_external( FLA_CONJUGATE, FLA_ONE, a12t, a12t, FLA_ONE, alpha11 );

    // a12t  = a12t * triu( A22 )'
    // a12t' = triu( A22 ) * a12t'
    FLA_Trmv_external( FLA_UPPER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A22, a12t );

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

    FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
                                                     a10t, alpha11, /**/ a12t,
                            /* ************** */  /* ************************ */
                              &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
                              FLA_TL );

  }

  return FLA_SUCCESS;
}