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_lu_blk_var4(FLA_Obj A,fla_trinv_t * cntl)15 FLA_Error FLA_Trinv_lu_blk_var4( FLA_Obj A, fla_trinv_t* cntl )
16 {
17 FLA_Obj ATL, ATR, A00, A01, A02,
18 ABL, ABR, A10, A11, A12,
19 A20, A21, A22;
20
21 dim_t b;
22
23 FLA_Part_2x2( A, &ATL, &ATR,
24 &ABL, &ABR, 0, 0, FLA_TL );
25
26 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
27
28 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) );
29
30 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02,
31 /* ************* */ /* ******************** */
32 &A10, /**/ &A11, &A12,
33 ABL, /**/ ABR, &A20, /**/ &A21, &A22,
34 b, b, FLA_BR );
35
36 /*------------------------------------------------------------*/
37
38 // A21 = -trilu( A22 ) \ A21;
39 FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
40 FLA_MINUS_ONE, A22, A21,
41 FLA_Cntl_sub_trsm1( cntl ) );
42
43 // A20 = -A21 * A10 + A20;
44 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
45 FLA_MINUS_ONE, A21, A10, FLA_ONE, A20,
46 FLA_Cntl_sub_gemm( cntl ) );
47
48 // A10 = A10 * A00;
49 FLA_Trmm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_UNIT_DIAG,
50 FLA_ONE, A00, A10,
51 FLA_Cntl_sub_trmm( cntl ) );
52
53 // A11 = inv( A11 );
54 FLA_Trinv_internal( FLA_LOWER_TRIANGULAR, FLA_UNIT_DIAG, A11,
55 FLA_Cntl_sub_trinv( cntl ) );
56
57 /*------------------------------------------------------------*/
58
59 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02,
60 A10, A11, /**/ A12,
61 /* ************** */ /* ****************** */
62 &ABL, /**/ &ABR, A20, A21, /**/ A22,
63 FLA_TL );
64
65 }
66
67 return FLA_SUCCESS;
68 }
69
70 #endif
71