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FLA_Apply_Q_UT_lnfr_blk_var3.c File Reference

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Functions

FLA_Error FLA_Apply_Q_UT_lnfr_blk_var3 (FLA_Obj A, FLA_Obj TW, FLA_Obj W, FLA_Obj B, fla_apqut_t *cntl)
 

Function Documentation

◆ FLA_Apply_Q_UT_lnfr_blk_var3()

FLA_Error FLA_Apply_Q_UT_lnfr_blk_var3 ( FLA_Obj  A,
FLA_Obj  TW,
FLA_Obj  W,
FLA_Obj  B,
fla_apqut_t cntl 
)

References FLA_Axpyt_internal(), FLA_Cont_with_3x1_to_2x1(), 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_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Trmm_internal(), and FLA_Trsm_internal().

Referenced by FLA_Apply_Q_UT_lnfr().

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 BT, B0,
27  BB, B1,
28  B2;
29 
30  dim_t b, m_BR, n_BR;
31 
32  // If m < n, then we have to initialize our partitionings carefully so
33  // that we begin in the proper location in A and B (since we traverse
34  // matrix A from BR to TL).
35  if ( FLA_Obj_length( A ) < FLA_Obj_width( A ) )
36  {
37  m_BR = 0;
38  n_BR = FLA_Obj_width( A ) - FLA_Obj_length( A );
39  }
40  else
41  {
42  m_BR = 0;
43  n_BR = 0;
44  }
45 
46  FLA_Part_2x2( A, &ATL, &ATR,
47  &ABL, &ABR, m_BR, n_BR, FLA_BR );
48 
49  FLA_Part_2x2( TW, &TWTL, &TWTR,
50  &TWBL, &TWBR, 0, 0, FLA_BR );
51 
52  FLA_Part_2x1( B, &BT,
53  &BB, n_BR, FLA_BOTTOM );
54 
55  while ( FLA_Obj_min_dim( ATL ) > 0 ){
56 
57  b = FLA_Determine_blocksize( ATL, FLA_TL, FLA_Cntl_blocksize( cntl ) );
58 
59  // Since T was filled from TL to BR, and since we need to access them in
60  // reverse order, we need to handle the case where the bottom-right-most
61  // block is smaller than the other b x b blocks.
62  if ( FLA_Obj_width( TWBR ) == 0 &&
63  FLA_Obj_width( TW ) % b > 0 )
64  b = FLA_Obj_width( TW ) % b;
65 
66  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &A01, /**/ &A02,
67  &A10, &A11, /**/ &A12,
68  /* ************* */ /* ******************** */
69  ABL, /**/ ABR, &A20, &A21, /**/ &A22,
70  b, b, FLA_TL );
71 
72  FLA_Repart_2x2_to_3x3( TWTL, /**/ TWTR, &TW00, &TW01, /**/ &TW02,
73  &TW10, &T11, /**/ &W12,
74  /* *************** */ /* *********************** */
75  TWBL, /**/ TWBR, &TW20, &TW21, /**/ &TW22,
76  b, b, FLA_TL );
77 
78  FLA_Repart_2x1_to_3x1( BT, &B0,
79  &B1,
80  /* ** */ /* ** */
81  BB, &B2, b, FLA_TOP );
82 
83  /*------------------------------------------------------------*/
84 
85  FLA_Part_2x2( W, &WTL, &WTR,
86  &WBL, &WBR, b, FLA_Obj_width( B1 ), FLA_TL );
87 
88  // WTL = B1;
89 
90  FLA_Copyt_internal( FLA_NO_TRANSPOSE, B1, WTL,
91  FLA_Cntl_sub_copyt( cntl ) );
92 
93  // U11 = triuu( A11 );
94  // U12 = A12;
95  //
96  // WTL = inv( triu(T11) ) * ( conj(U11) * B1 + conj(U12) * B2 );
97 
98  FLA_Trmm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
99  FLA_CONJ_NO_TRANSPOSE, FLA_UNIT_DIAG,
100  FLA_ONE, A11, WTL,
101  FLA_Cntl_sub_trmm1( cntl ) );
102 
103  FLA_Gemm_internal( FLA_CONJ_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
104  FLA_ONE, A12, B2, FLA_ONE, WTL,
105  FLA_Cntl_sub_gemm1( cntl ) );
106 
107  FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
108  FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
109  FLA_ONE, T11, WTL,
110  FLA_Cntl_sub_trsm( cntl ) );
111 
112  // B2 = B2 - U12^T * WTL;
113  // B1 = B1 - U11^T * WTL;
114 
115  FLA_Gemm_internal( FLA_TRANSPOSE, FLA_NO_TRANSPOSE,
116  FLA_MINUS_ONE, A12, WTL, FLA_ONE, B2,
117  FLA_Cntl_sub_gemm2( cntl ) );
118 
119  FLA_Trmm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
120  FLA_TRANSPOSE, FLA_UNIT_DIAG,
121  FLA_MINUS_ONE, A11, WTL,
122  FLA_Cntl_sub_trmm2( cntl ) );
123 
124  FLA_Axpyt_internal( FLA_NO_TRANSPOSE, FLA_ONE, WTL, B1,
125  FLA_Cntl_sub_axpyt( cntl ) );
126 
127  /*------------------------------------------------------------*/
128 
129  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ A01, A02,
130  /* ************** */ /* ****************** */
131  A10, /**/ A11, A12,
132  &ABL, /**/ &ABR, A20, /**/ A21, A22,
133  FLA_BR );
134 
135  FLA_Cont_with_3x3_to_2x2( &TWTL, /**/ &TWTR, TW00, /**/ TW01, TW02,
136  /* **************** */ /* ********************* */
137  TW10, /**/ T11, W12,
138  &TWBL, /**/ &TWBR, TW20, /**/ TW21, TW22,
139  FLA_BR );
140 
141  FLA_Cont_with_3x1_to_2x1( &BT, B0,
142  /* ** */ /* ** */
143  B1,
144  &BB, B2, FLA_BOTTOM );
145  }
146 
147  return FLA_SUCCESS;
148 }
FLA_Error FLA_Repart_2x1_to_3x1(FLA_Obj AT, FLA_Obj *A0, FLA_Obj *A1, FLA_Obj AB, FLA_Obj *A2, dim_t mb, FLA_Side side)
Definition: FLA_View.c:226
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
unsigned long dim_t
Definition: FLA_type_defs.h:71
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_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
dim_t FLA_Determine_blocksize(FLA_Obj A_unproc, FLA_Quadrant to_dir, fla_blocksize_t *cntl_blocksizes)
Definition: FLA_Blocksize.c:234
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_Cont_with_3x1_to_2x1(FLA_Obj *AT, FLA_Obj A0, FLA_Obj A1, FLA_Obj *AB, FLA_Obj A2, FLA_Side side)
Definition: FLA_View.c:428
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_Obj FLA_ONE
Definition: FLA_Init.c:18
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
Definition: FLA_type_defs.h:158
dim_t FLA_Obj_width(FLA_Obj obj)
Definition: FLA_Query.c:123
FLA_Error FLA_Part_2x1(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t mb, FLA_Side side)
Definition: FLA_View.c:76
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
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
dim_t FLA_Obj_min_dim(FLA_Obj obj)
Definition: FLA_Query.c:153
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