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FLA_Apply_Q2_UT_lnfc_blk_var1.c File Reference

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Functions

FLA_Error FLA_Apply_Q2_UT_lnfc_blk_var1 (FLA_Obj D, FLA_Obj T, FLA_Obj W1, FLA_Obj C, FLA_Obj E, fla_apq2ut_t *cntl)
 

Function Documentation

◆ FLA_Apply_Q2_UT_lnfc_blk_var1()

FLA_Error FLA_Apply_Q2_UT_lnfc_blk_var1 ( FLA_Obj  D,
FLA_Obj  T,
FLA_Obj  W1,
FLA_Obj  C,
FLA_Obj  E,
fla_apq2ut_t cntl 
)
15 {
16  FLA_Obj DL, DR, D0, D1, D2;
17 
18  FLA_Obj TL, TR, T0, T1, T2;
19 
20  FLA_Obj T1T,
21  T2B;
22 
23  FLA_Obj CT, C0,
24  CB, C1,
25  C2;
26 
27  FLA_Obj W1TL, W1TR,
28  W1BL, W1BR;
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_1x2( D, &DL, &DR, 0, FLA_RIGHT );
36 
37  FLA_Part_1x2( T, &TL, &TR, 0, FLA_RIGHT );
38 
39  FLA_Part_2x1( C, &CT,
40  &CB, 0, FLA_BOTTOM );
41 
42  while ( FLA_Obj_width( DR ) < FLA_Obj_width( D ) ){
43 
44  b = min( b_alg, FLA_Obj_width( DL ) );
45 
46  // Since T was filled from left to right, and since we need to access them
47  // in reverse order, we need to handle the case where the last block is
48  // smaller than the other b x b blocks.
49  if ( FLA_Obj_width( TR ) == 0 && FLA_Obj_width( T ) % b_alg > 0 )
50  b = FLA_Obj_width( T ) % b_alg;
51 
52  FLA_Repart_1x2_to_1x3( DL, /**/ DR, &D0, &D1, /**/ &D2,
53  b, FLA_LEFT );
54 
55  FLA_Repart_1x2_to_1x3( TL, /**/ TR, &T0, &T1, /**/ &T2,
56  b, FLA_LEFT );
57 
58  FLA_Repart_2x1_to_3x1( CT, &C0,
59  &C1,
60  /* ** */ /* ** */
61  CB, &C2, b, FLA_TOP );
62 
63  /*------------------------------------------------------------*/
64 
65  FLA_Part_2x1( T1, &T1T,
66  &T2B, b, FLA_TOP );
67 
68  FLA_Part_2x2( W1, &W1TL, &W1TR,
69  &W1BL, &W1BR, b, FLA_Obj_width( C1 ), FLA_TL );
70 
71  // W1TL = C1;
72 
73  FLA_Copyt_internal( FLA_NO_TRANSPOSE, C1, W1TL,
74  FLA_Cntl_sub_copyt( cntl ) );
75 
76  // W1TL = inv( triu( T1T ) ) * ( C1 + D1' * E );
77 
78  FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
79  FLA_ONE, D1, E, FLA_ONE, W1TL,
80  FLA_Cntl_sub_gemm1( cntl ) );
81 
82  FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
83  FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG,
84  FLA_ONE, T1T, W1TL,
85  FLA_Cntl_sub_trsm( cntl ) );
86 
87  // C1 = C1 - W1TL;
88  // E = E - D1 * W1TL;
89 
90  FLA_Axpyt_internal( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, W1TL, C1,
91  FLA_Cntl_sub_axpyt( cntl ) );
92 
93  FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
94  FLA_MINUS_ONE, D1, W1TL, FLA_ONE, E,
95  FLA_Cntl_sub_gemm2( cntl ) );
96 
97  /*------------------------------------------------------------*/
98 
99  FLA_Cont_with_1x3_to_1x2( &DL, /**/ &DR, D0, /**/ D1, D2,
100  FLA_RIGHT );
101 
102  FLA_Cont_with_1x3_to_1x2( &TL, /**/ &TR, T0, /**/ T1, T2,
103  FLA_RIGHT );
104 
105  FLA_Cont_with_3x1_to_2x1( &CT, C0,
106  /* ** */ /* ** */
107  C1,
108  &CB, C2, FLA_BOTTOM );
109  }
110 
111  return FLA_SUCCESS;
112 }
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_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_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_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_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_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
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
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
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
Definition: FLA_type_defs.h:159

References FLA_Axpyt_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Cont_with_3x1_to_2x1(), FLA_Copyt_internal(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Obj_width(), FLA_ONE, FLA_Part_1x2(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_1x2_to_1x3(), FLA_Repart_2x1_to_3x1(), and FLA_Trsm_internal().

Referenced by FLA_Apply_Q2_UT_lnfc().