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FLA_QR_UT_piv_blk_var1.c File Reference

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Functions

FLA_Error FLA_QR_UT_piv_blk_var1 (FLA_Obj A, FLA_Obj T, FLA_Obj w, FLA_Obj p, fla_qrut_t *cntl)
 

Function Documentation

◆ FLA_QR_UT_piv_blk_var1()

FLA_Error FLA_QR_UT_piv_blk_var1 ( FLA_Obj  A,
FLA_Obj  T,
FLA_Obj  w,
FLA_Obj  p,
fla_qrut_t cntl 
)

References FLA_Apply_pivots(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Obj_length(), FLA_Obj_min_dim(), FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_QR_UT_piv_internal(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and w1.

Referenced by FLA_QR_UT_piv_internal().

14 {
15  FLA_Obj ATL, ATR, A00, A01, A02,
16  ABL, ABR, A10, A11, A12,
17  A20, A21, A22;
18 
19  FLA_Obj TL, TR, T0, T1, W12;
20  FLA_Obj T1T, T2B;
21 
22  FLA_Obj pT, p0,
23  pB, p1,
24  p2;
25 
26  FLA_Obj wT, w0,
27  wB, w1,
28  w2;
29 
30  dim_t b_alg, b;
31 
32  // Query the algorithmic blocksize by inspecting the length of T.
33  b_alg = FLA_Obj_length( T );
34 
35  FLA_Part_2x2( A, &ATL, &ATR,
36  &ABL, &ABR, 0, 0, FLA_TL );
37 
38  FLA_Part_1x2( T, &TL, &TR, 0, FLA_LEFT );
39 
40  FLA_Part_2x1( p, &pT,
41  &pB, 0, FLA_TOP );
42 
43  FLA_Part_2x1( w, &wT,
44  &wB, 0, FLA_TOP );
45 
46  // Loop over A; T is properly truncated.
47  while ( FLA_Obj_min_dim( ABR ) > 0 ){
48 
49  b = min( b_alg, FLA_Obj_min_dim( ABR ) );
50 
51  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02,
52  /* ************* */ /* ******************** */
53  &A10, /**/ &A11, &A12,
54  ABL, /**/ ABR, &A20, /**/ &A21, &A22,
55  b, b, FLA_BR );
56 
57  FLA_Repart_1x2_to_1x3( TL, /**/ TR, &T0, /**/ &T1, &W12,
58  b, FLA_RIGHT );
59 
60  FLA_Repart_2x1_to_3x1( pT, &p0,
61  /* ** */ /* ** */
62  &p1,
63  pB, &p2, b, FLA_BOTTOM );
64 
65  FLA_Repart_2x1_to_3x1( wT, &w0,
66  /* ** */ /* ** */
67  &w1,
68  wB, &w2, b, FLA_BOTTOM );
69 
70  /*------------------------------------------------------------*/
71 
72  FLA_Part_2x1( T1, &T1T,
73  &T2B, b, FLA_TOP );
74 
75  // Perform a unblocked (BLAS2-oriented) QR factorization
76  // with pivoting via the UT transform on ABR:
77  //
78  // ABR -> QB1 R11
79  //
80  // where:
81  // - QB1 is formed from UB1 (which is stored column-wise below the
82  // diagonal of ( A11 A21 )^T and T1T (which is stored to the upper triangle
83  // of T11).
84  // - R11 is stored to ( A11 A12 ).
85  FLA_QR_UT_piv_internal( ABR, T1T, wB, p1,
86  FLA_Cntl_sub_qrut( cntl ) );
87 
88  // Apply pivots to previous columns.
89  FLA_Apply_pivots( FLA_RIGHT, FLA_TRANSPOSE, p1, ATR );
90 
91  /*------------------------------------------------------------*/
92 
93  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02,
94  A10, A11, /**/ A12,
95  /* ************** */ /* ****************** */
96  &ABL, /**/ &ABR, A20, A21, /**/ A22,
97  FLA_TL );
98 
99  FLA_Cont_with_1x3_to_1x2( &TL, /**/ &TR, T0, T1, /**/ W12,
100  FLA_LEFT );
101 
102  FLA_Cont_with_3x1_to_2x1( &pT, p0,
103  p1,
104  /* ** */ /* ** */
105  &pB, p2, FLA_TOP );
106 
107  FLA_Cont_with_3x1_to_2x1( &wT, w0,
108  w1,
109  /* ** */ /* ** */
110  &wB, w2, FLA_TOP );
111  }
112 
113  return FLA_SUCCESS;
114 }
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_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
unsigned long dim_t
Definition: FLA_type_defs.h:71
double *restrict w1
Definition: bl1_dotsv3.c:172
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
Definition: FLA_type_defs.h:158
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
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
FLA_Error FLA_QR_UT_piv_internal(FLA_Obj A, FLA_Obj T, FLA_Obj w, FLA_Obj p, fla_qrut_t *cntl)
Definition: FLA_QR_UT_piv_internal.c:13
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
FLA_Error FLA_Apply_pivots(FLA_Side side, FLA_Trans trans, FLA_Obj p, FLA_Obj A)
Definition: FLA_Apply_pivots.c:15
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