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FLA_Apply_Q_UT_rnbc_blk_var3.c File Reference

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Functions

FLA_Error FLA_Apply_Q_UT_rnbc_blk_var3 (FLA_Obj A, FLA_Obj TW, FLA_Obj W, FLA_Obj B, fla_apqut_t *cntl)
 

Function Documentation

◆ FLA_Apply_Q_UT_rnbc_blk_var3()

FLA_Error FLA_Apply_Q_UT_rnbc_blk_var3 ( FLA_Obj  A,
FLA_Obj  TW,
FLA_Obj  W,
FLA_Obj  B,
fla_apqut_t cntl 
)
14 {
15  FLA_Obj ATL, ATR, A00, A01, A02,
16  ABL, ABR, A10, A11, A12,
17  A20, A21, A22;
18 
19  FLA_Obj TWTL, TWTR, TW00, TW01, TW02,
20  TWBL, TWBR, TW10, T11, W12,
21  TW20, TW21, TW22;
22 
23  FLA_Obj WTL, WTR,
24  WBL, WBR;
25 
26  FLA_Obj BL, BR, B0, B1, B2;
27 
28  dim_t b, m_BR, n_BR;
29 
30  // If m > n, then we have to initialize our partitionings carefully so
31  // that we begin in the proper location in A and B (since we traverse
32  // matrix A from BR to TL).
33  if ( FLA_Obj_length( A ) > FLA_Obj_width( A ) )
34  {
35  m_BR = FLA_Obj_length( A ) - FLA_Obj_width( A );
36  n_BR = 0;
37  }
38  else
39  {
40  m_BR = 0;
41  n_BR = 0;
42  }
43 
44  FLA_Part_2x2( A, &ATL, &ATR,
45  &ABL, &ABR, m_BR, n_BR, FLA_BR );
46 
47  FLA_Part_2x2( TW, &TWTL, &TWTR,
48  &TWBL, &TWBR, 0, 0, FLA_BR );
49 
50  FLA_Part_1x2( B, &BL, &BR, m_BR, FLA_RIGHT );
51 
52  while ( FLA_Obj_min_dim( ATL ) > 0 ){
53 
54  b = FLA_Determine_blocksize( ATL, FLA_TL, FLA_Cntl_blocksize( cntl ) );
55 
56  // Since T was filled from TL to BR, and since we need to access them in
57  // reverse order, we need to handle the case where the bottom-right-most
58  // block is smaller than the other b x b blocks.
59  if ( FLA_Obj_width( TWBR ) == 0 &&
60  FLA_Obj_width( TW ) % b > 0 )
61  b = FLA_Obj_width( TW ) % b;
62 
63  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &A01, /**/ &A02,
64  &A10, &A11, /**/ &A12,
65  /* ************* */ /* ******************** */
66  ABL, /**/ ABR, &A20, &A21, /**/ &A22,
67  b, b, FLA_TL );
68 
69  FLA_Repart_2x2_to_3x3( TWTL, /**/ TWTR, &TW00, &TW01, /**/ &TW02,
70  &TW10, &T11, /**/ &W12,
71  /* *************** */ /* *********************** */
72  TWBL, /**/ TWBR, &TW20, &TW21, /**/ &TW22,
73  b, b, FLA_TL );
74 
75  FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, &B1, /**/ &B2,
76  b, FLA_LEFT );
77 
78  /*------------------------------------------------------------*/
79 
80  FLA_Part_2x2( W, &WTL, &WTR,
81  &WBL, &WBR, b, FLA_Obj_length( B1 ), FLA_TL );
82 
83  // WTL = B1^T;
84 
85  FLA_Copyt_internal( FLA_TRANSPOSE, B1, WTL,
86  FLA_Cntl_sub_copyt( cntl ) );
87 
88  // U11 = trilu( A11 );
89  // U21 = A21;
90  // Let WTL^T be conformal to B1.
91  //
92  // WTL^T = ( B1 * U11 + B2 * U21 ) * inv( triu(T11)' );
93  // WTL = inv( conj(triu(T11)) ) * ( U11^T * B1^T + U21^T * B2^T );
94 
95  FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
96  FLA_TRANSPOSE, FLA_UNIT_DIAG,
97  FLA_ONE, A11, WTL,
98  FLA_Cntl_sub_trmm1( cntl ) );
99 
100  FLA_Gemm_internal( FLA_TRANSPOSE, FLA_TRANSPOSE,
101  FLA_ONE, A21, B2, FLA_ONE, WTL,
102  FLA_Cntl_sub_gemm1( cntl ) );
103 
104  FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
105  FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
106  FLA_ONE, T11, WTL,
107  FLA_Cntl_sub_trsm( cntl ) );
108 
109  // B2 = B2 - WTL^T * U21';
110  // B1 = B1 - WTL^T * U11';
111  // = B1 - ( conj(U11) * WTL )^T;
112 
113  FLA_Gemm_internal( FLA_TRANSPOSE, FLA_CONJ_TRANSPOSE,
114  FLA_MINUS_ONE, WTL, A21, FLA_ONE, B2,
115  FLA_Cntl_sub_gemm2( cntl ) );
116 
117  FLA_Trmm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR,
118  FLA_CONJ_NO_TRANSPOSE, FLA_UNIT_DIAG,
119  FLA_MINUS_ONE, A11, WTL,
120  FLA_Cntl_sub_trmm2( cntl ) );
121 
122  FLA_Axpyt_internal( FLA_TRANSPOSE, FLA_ONE, WTL, B1,
123  FLA_Cntl_sub_axpyt( cntl ) );
124 
125  /*------------------------------------------------------------*/
126 
127  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ A01, A02,
128  /* ************** */ /* ****************** */
129  A10, /**/ A11, A12,
130  &ABL, /**/ &ABR, A20, /**/ A21, A22,
131  FLA_BR );
132 
133  FLA_Cont_with_3x3_to_2x2( &TWTL, /**/ &TWTR, TW00, /**/ TW01, TW02,
134  /* **************** */ /* ********************* */
135  TW10, /**/ T11, W12,
136  &TWBL, /**/ &TWBR, TW20, /**/ TW21, TW22,
137  FLA_BR );
138 
139  FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, /**/ B1, B2,
140  FLA_RIGHT );
141  }
142 
143  return FLA_SUCCESS;
144 }
FLA_Error FLA_Axpyt_internal(FLA_Trans trans, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_axpyt_t *cntl)
Definition: FLA_Axpyt_internal.c:16
FLA_Error FLA_Copyt_internal(FLA_Trans trans, FLA_Obj A, FLA_Obj B, fla_copyt_t *cntl)
Definition: FLA_Copyt_internal.c:16
FLA_Error FLA_Gemm_internal(FLA_Trans transa, FLA_Trans transb, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, FLA_Obj beta, FLA_Obj C, fla_gemm_t *cntl)
Definition: FLA_Gemm_internal.c:16
FLA_Error FLA_Trmm_internal(FLA_Side side, FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trmm_t *cntl)
Definition: FLA_Trmm_internal.c:16
FLA_Error FLA_Trsm_internal(FLA_Side side, FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
Definition: FLA_Trsm_internal.c:16
FLA_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
FLA_Obj FLA_ONE
Definition: FLA_Init.c:18
FLA_Error FLA_Cont_with_3x3_to_2x2(FLA_Obj *ATL, FLA_Obj *ATR, FLA_Obj A00, FLA_Obj A01, FLA_Obj A02, FLA_Obj A10, FLA_Obj A11, FLA_Obj A12, FLA_Obj *ABL, FLA_Obj *ABR, FLA_Obj A20, FLA_Obj A21, FLA_Obj A22, FLA_Quadrant quadrant)
Definition: FLA_View.c:304
FLA_Error FLA_Part_2x2(FLA_Obj A, FLA_Obj *A11, FLA_Obj *A12, FLA_Obj *A21, FLA_Obj *A22, dim_t mb, dim_t nb, FLA_Quadrant quadrant)
Definition: FLA_View.c:17
FLA_Error FLA_Cont_with_1x3_to_1x2(FLA_Obj *AL, FLA_Obj *AR, FLA_Obj A0, FLA_Obj A1, FLA_Obj A2, FLA_Side side)
Definition: FLA_View.c:475
dim_t FLA_Obj_width(FLA_Obj obj)
Definition: FLA_Query.c:123
FLA_Error FLA_Part_1x2(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:110
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
FLA_Error FLA_Repart_2x2_to_3x3(FLA_Obj ATL, FLA_Obj ATR, FLA_Obj *A00, FLA_Obj *A01, FLA_Obj *A02, FLA_Obj *A10, FLA_Obj *A11, FLA_Obj *A12, FLA_Obj ABL, FLA_Obj ABR, FLA_Obj *A20, FLA_Obj *A21, FLA_Obj *A22, dim_t mb, dim_t nb, FLA_Quadrant quadrant)
Definition: FLA_View.c:142
FLA_Error FLA_Repart_1x2_to_1x3(FLA_Obj AL, FLA_Obj AR, FLA_Obj *A0, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:267
dim_t FLA_Determine_blocksize(FLA_Obj A_unproc, FLA_Quadrant to_dir, fla_blocksize_t *cntl_blocksizes)
Definition: FLA_Blocksize.c:234
dim_t FLA_Obj_min_dim(FLA_Obj obj)
Definition: FLA_Query.c:153
unsigned long dim_t
Definition: FLA_type_defs.h:71
Definition: FLA_type_defs.h:159

References FLA_Axpyt_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x3_to_2x2(), FLA_Copyt_internal(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_min_dim(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_internal(), and FLA_Trsm_internal().

Referenced by FLA_Apply_Q_UT_rnbc().