Esempio n. 1
0
FLA_Error FLA_Trsm_luh_unb_var2( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Scal_external( alpha, B );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* *** */
                                              &b1t, 
                           BB,                &B2,        1, FLA_BOTTOM );

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

    /* b1t = b1t / alpha11'; */
    if ( diagA != FLA_UNIT_DIAG )
      FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1t );

    /* B2 = B2 - a12t' * b1t; */
    FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, FLA_MINUS_ONE, a12t, b1t, B2 );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  b1t, 
                            /* ** */           /* *** */
                              &BB,                B2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
Esempio n. 2
0
FLA_Error FLA_Gemm_hc_unb_var6( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
  FLA_Obj AT,              A0,
          AB,              a1t,
                           A2;

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_BOTTOM );

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

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

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                                              &b1t, 
                        /* ** */            /* *** */
                           BB,                &B2,        1, FLA_TOP );

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

    /* C = a1t' * b1t + C */
    FLA_Gerc_external( FLA_CONJUGATE, FLA_CONJUGATE, alpha, a1t, b1t, C );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                            /* ** */           /* *** */
                                                  b1t, 
                              &BB,                B2,     FLA_BOTTOM );

  }

  return FLA_SUCCESS;
}
Esempio n. 3
0
FLA_Error FLA_Trsm_ruh_unb_var2( FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B )
{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Scal_external( alpha, B );

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

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_RIGHT );

  while ( FLA_Obj_length( ABR ) < 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_TL );

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, &b1, /**/ &B2,
                           1, FLA_LEFT );

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

    /* b1 = b1 / alpha11'; */
    if ( diagA != FLA_UNIT_DIAG )
      FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1 );

    /* B0 = B0 - b1 * a01'; */
    FLA_Gerc_external( FLA_NO_CONJUGATE, FLA_CONJUGATE, FLA_MINUS_ONE, b1, a01, B0 );

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

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

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, /**/ b1, B2,
                              FLA_RIGHT );

  }

  return FLA_SUCCESS;
}
Esempio n. 4
0
FLA_Error FLA_Gemm_nc_unb_var5( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
  FLA_Obj AL,    AR,       A0,  a1,  A2;

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

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

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

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* *** */
                                              &b1t, 
                           BB,                &B2,        1, FLA_BOTTOM );

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

    /* C = a1 * b1t + C */
    FLA_Gerc_external( FLA_NO_CONJUGATE, FLA_CONJUGATE, alpha, a1, b1t, C );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  b1t, 
                            /* ** */           /* *** */
                              &BB,                B2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
Esempio n. 5
0
FLA_Error FLA_Gemm_th_unb_var5( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
  FLA_Obj AT,              A0,
          AB,              a1t,
                           A2;

  FLA_Obj BL,    BR,       B0,  b1,  B2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );

  while ( FLA_Obj_length( AT ) < FLA_Obj_length( A ) ){

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

    FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1, &B2,
                           1, FLA_RIGHT );

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

    /* C = a1t' * b1' + C */
    FLA_Gerc_external( FLA_NO_CONJUGATE, FLA_CONJUGATE, alpha, a1t, b1, C );

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

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

    FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1, /**/ B2,
                              FLA_LEFT );

  }

  return FLA_SUCCESS;
}
Esempio n. 6
0
FLA_Error FLA_Gemm_ct_unb_var5( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
    FLA_Obj AL,    AR,       A0,  a1,  A2;

    FLA_Obj BL,    BR,       B0,  b1,  B2;

    FLA_Scal_external( beta, C );

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

    FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );

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

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

        FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1, &B2,
                               1, FLA_RIGHT );

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

        /* C = a1 * b1' + C */
        FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, alpha, a1, b1, C );

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

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

        FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1, /**/ B2,
                                  FLA_LEFT );

    }

    return FLA_SUCCESS;
}
Esempio n. 7
0
FLA_Error FLA_Hemm_ru_unb_var4( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
    FLA_Obj ATL,   ATR,      A00,  a01,     A02,
            ABL,   ABR,      a10t, alpha11, a12t,
            A20,  a21,     A22;

    FLA_Obj BL,    BR,       B0,  b1t,  B2;

    FLA_Obj CL,    CR,       C0,  c1t,  C2;

    FLA_Scal_external( beta, C );

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

    FLA_Part_1x2( B,    &BL,  &BR,      0, FLA_LEFT );

    FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_LEFT );

    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 );

        FLA_Repart_1x2_to_1x3( BL,  /**/ BR,        &B0, /**/ &b1t, &B2,
                               1, FLA_RIGHT );

        FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, /**/ &c1t, &C2,
                               1, FLA_RIGHT );

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

        /* C0 = C0 + b1t * a01' */
        FLA_Gerc_external( FLA_NO_CONJUGATE, FLA_CONJUGATE, alpha, b1t, a01, C0 );

        /* c1t = c1t + b1t * alpha11 */
        FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

        /* C2 = C2 + b1t * a12t */
        FLA_Ger_external( alpha, b1t, a12t, C2 );

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

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

        FLA_Cont_with_1x3_to_1x2( &BL,  /**/ &BR,        B0, b1t, /**/ B2,
                                  FLA_LEFT );

        FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, c1t, /**/ C2,
                                  FLA_LEFT );

    }

    return FLA_SUCCESS;
}
Esempio n. 8
0
FLA_Error FLA_Hemm_ll_unb_var1( FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C )
{
  FLA_Obj ATL,   ATR,      A00,  a01,     A02, 
          ABL,   ABR,      a10t, alpha11, a12t,
                           A20,  a21,     A22;

  FLA_Obj BT,              B0,
          BB,              b1t,
                           B2;

  FLA_Obj CT,              C0,
          CB,              c1t,
                           C2;

  FLA_Scal_external( beta, C );

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

  FLA_Part_2x1( B,    &BT, 
                      &BB,            0, FLA_TOP );

  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );

  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 );

    FLA_Repart_2x1_to_3x1( BT,                &B0, 
                        /* ** */            /* ** */
                                              &b1t, 
                           BB,                &B2,        1, FLA_BOTTOM );

    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &c1t, 
                           CB,                &C2,        1, FLA_BOTTOM );

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

    /* C0 = C0 + a10t' * b1t */
    FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, alpha, a10t, b1t, C0 );

    /* c1t  = c1t  + a10t * B0    */
    /* c1t' = c1t' + B0'  * a10t' */
    FLA_Gemv_external( FLA_TRANSPOSE, alpha, B0, a10t, FLA_ONE, c1t );

    /* c1t = c1t + alpha11 * b1t */
    FLA_Axpys_external( alpha, alpha11, b1t, FLA_ONE, c1t );

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

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

    FLA_Cont_with_3x1_to_2x1( &BT,                B0, 
                                                  b1t, 
                            /* ** */           /* ** */
                              &BB,                B2,     FLA_TOP );

    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  c1t, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );

  }

  return FLA_SUCCESS;
}
Esempio n. 9
0
FLA_Error FLA_Gerc( FLA_Conj conjx, FLA_Conj conjy, FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj A )
{
    return FLA_Gerc_external( conjx, conjy, alpha, x, y, A );
}