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FLA_Sylv_hh_blk_var10.c File Reference

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Functions

FLA_Error FLA_Sylv_hh_blk_var10 (FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
 

Function Documentation

◆ FLA_Sylv_hh_blk_var10()

FLA_Error FLA_Sylv_hh_blk_var10 ( FLA_Obj isgn,
FLA_Obj A,
FLA_Obj B,
FLA_Obj C,
FLA_Obj scale,
fla_sylv_t * cntl )
16{
17 FLA_Obj ATL, ATR, A00, A01, A02,
18 ABL, ABR, A10, A11, A12,
19 A20, A21, A22;
20
21 FLA_Obj BTL, BTR, B00, B01, B02,
22 BBL, BBR, B10, B11, B12,
23 B20, B21, B22;
24
25 FLA_Obj CTL, CTR, C00, C01, C02,
26 CBL, CBR, C10, C11, C12,
27 C20, C21, C22;
28
29 dim_t b;
30
31 FLA_Part_2x2( A, &ATL, &ATR,
32 &ABL, &ABR, 0, 0, FLA_TL );
33
34 FLA_Part_2x2( B, &BTL, &BTR,
35 &BBL, &BBR, 0, 0, FLA_BR );
36
37 FLA_Part_2x2( C, &CTL, &CTR,
38 &CBL, &CBR, 0, 0, FLA_TR );
39
40 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){
41
42 b = FLA_Determine_blocksize( CBL, FLA_BL, FLA_Cntl_blocksize( cntl ) );
43
44 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02,
45 /* ************* */ /* ******************** */
46 &A10, /**/ &A11, &A12,
47 ABL, /**/ ABR, &A20, /**/ &A21, &A22,
48 b, b, FLA_BR );
49
50 FLA_Repart_2x2_to_3x3( BTL, /**/ BTR, &B00, &B01, /**/ &B02,
51 &B10, &B11, /**/ &B12,
52 /* ************* */ /* ******************** */
53 BBL, /**/ BBR, &B20, &B21, /**/ &B22,
54 b, b, FLA_TL );
55
56 FLA_Repart_2x2_to_3x3( CTL, /**/ CTR, &C00, &C01, /**/ &C02,
57 /* ************* */ /* ******************** */
58 &C10, &C11, /**/ &C12,
59 CBL, /**/ CBR, &C20, &C21, /**/ &C22,
60 b, b, FLA_BL );
61
62 // Loop Invariant:
63 // CTL =
64 // CTR =
65 // CBL =
66 // CBR =
67
68 /*------------------------------------------------------------*/
69
70 // C01 = sylv( A00', B11', C01 );
71 FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_CONJ_TRANSPOSE,
72 isgn, A00, B11, C01, scale,
73 FLA_Cntl_sub_sylv1( cntl ) );
74
75 // C11 = sylv( A11', B11', C11 - A01' * C01 );
76 FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
77 FLA_MINUS_ONE, A01, C01, FLA_ONE, C11,
78 FLA_Cntl_sub_gemm1( cntl ) );
79
80 FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_CONJ_TRANSPOSE,
81 isgn, A11, B11, C11, scale,
82 FLA_Cntl_sub_sylv2( cntl ) );
83
84 // C21 = sylv( A22', B11', C21 - A12' * C11 - A02' * C01 );
85 FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
86 FLA_MINUS_ONE, A02, C01, FLA_ONE, C21,
87 FLA_Cntl_sub_gemm2( cntl ) );
88
89 FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
90 FLA_MINUS_ONE, A12, C11, FLA_ONE, C21,
91 FLA_Cntl_sub_gemm3( cntl ) );
92
93 FLA_Sylv_internal( FLA_CONJ_TRANSPOSE, FLA_CONJ_TRANSPOSE,
94 isgn, A22, B11, C21, scale,
95 FLA_Cntl_sub_sylv3( cntl ) );
96
97 // C20 = C20 -/+ C21 * B01';
98 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
99 FLA_NEGATE( isgn ), C21, B01, FLA_ONE, C20,
100 FLA_Cntl_sub_gemm4( cntl ) );
101
102 // C10 = C10 -/+ C11 * B01';
103 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
104 FLA_NEGATE( isgn ), C11, B01, FLA_ONE, C10,
105 FLA_Cntl_sub_gemm5( cntl ) );
106
107 // C00 = C00 -/+ C01 * B01';
108 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE,
109 FLA_NEGATE( isgn ), C01, B01, FLA_ONE, C00,
110 FLA_Cntl_sub_gemm6( cntl ) );
111
112 /*------------------------------------------------------------*/
113
114 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02,
115 A10, A11, /**/ A12,
116 /* ************** */ /* ****************** */
117 &ABL, /**/ &ABR, A20, A21, /**/ A22,
118 FLA_TL );
119
120 FLA_Cont_with_3x3_to_2x2( &BTL, /**/ &BTR, B00, /**/ B01, B02,
121 /* ************** */ /* ****************** */
122 B10, /**/ B11, B12,
123 &BBL, /**/ &BBR, B20, /**/ B21, B22,
124 FLA_BR );
125
126 FLA_Cont_with_3x3_to_2x2( &CTL, /**/ &CTR, C00, /**/ C01, C02,
127 C10, /**/ C11, C12,
128 /* ************** */ /* ****************** */
129 &CBL, /**/ &CBR, C20, /**/ C21, C22,
130 FLA_TR );
131
132 }
133
134 return FLA_SUCCESS;
135}
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_Sylv_internal(FLA_Trans transa, FLA_Trans transb, FLA_Obj isgn, FLA_Obj A, FLA_Obj B, FLA_Obj C, FLA_Obj scale, fla_sylv_t *cntl)
Definition FLA_Sylv_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
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
dim_t FLA_Determine_blocksize(FLA_Obj A_unproc, FLA_Quadrant to_dir, fla_blocksize_t *cntl_blocksizes)
Definition FLA_Blocksize.c:234
unsigned long dim_t
Definition FLA_type_defs.h:71
Definition FLA_type_defs.h:159

References FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sylv_internal().

Referenced by FLA_Sylv_hh().