1 /*
2 
3     Copyright (C) 2014, The University of Texas at Austin
4 
5     This file is part of libflame and is available under the 3-Clause
6     BSD license, which can be found in the LICENSE file at the top-level
7     directory, or at http://opensource.org/licenses/BSD-3-Clause
8 
9 */
10 
11 #include "FLAME.h"
12 
13 #ifdef FLA_ENABLE_NON_CRITICAL_CODE
14 
FLA_Trinv_ln_unb_var4(FLA_Obj A)15 FLA_Error FLA_Trinv_ln_unb_var4( FLA_Obj A )
16 {
17   FLA_Obj ATL,   ATR,      A00,  a01,     A02,
18           ABL,   ABR,      a10t, alpha11, a12t,
19                            A20,  a21,     A22;
20 
21   FLA_Part_2x2( A,    &ATL, &ATR,
22                       &ABL, &ABR,     0, 0, FLA_TL );
23 
24   while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
25 
26     FLA_Repart_2x2_to_3x3( ATL, /**/ ATR,       &A00,  /**/ &a01,     &A02,
27                         /* ************* */   /* ************************** */
28                                                 &a10t, /**/ &alpha11, &a12t,
29                            ABL, /**/ ABR,       &A20,  /**/ &a21,     &A22,
30                            1, 1, FLA_BR );
31 
32     /*------------------------------------------------------------*/
33 
34     // a21 = -tril( A22 ) \ a21;
35     FLA_Scal_external( FLA_MINUS_ONE, a21 );
36     FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A22, a21 );
37 
38     // A20 = -a21 * a10t + A20;
39     FLA_Ger_external( FLA_MINUS_ONE, a21, a10t, A20 );
40 
41     // a10t' = tril( A00' ) * a10t';
42     FLA_Trmv_external( FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t );
43 
44     // alpha11 = 1.0 / alpha11;
45     FLA_Invert( FLA_NO_CONJUGATE, alpha11 );
46 
47     /*------------------------------------------------------------*/
48 
49     FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR,       A00,  a01,     /**/ A02,
50                                                      a10t, alpha11, /**/ a12t,
51                             /* ************** */  /* ************************ */
52                               &ABL, /**/ &ABR,       A20,  a21,     /**/ A22,
53                               FLA_TL );
54 
55   }
56 
57   return FLA_SUCCESS;
58 }
59 
60 #endif
61