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FLA_Trsm_llh.h File Reference

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Functions

FLA_Error FLA_Trsm_llh_blk_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
 
FLA_Error FLA_Trsm_llh_blk_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
 
FLA_Error FLA_Trsm_llh_blk_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
 
FLA_Error FLA_Trsm_llh_blk_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B, fla_trsm_t *cntl)
 
FLA_Error FLA_Trsm_llh_unb_var1 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
 
FLA_Error FLA_Trsm_llh_unb_var2 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
 
FLA_Error FLA_Trsm_llh_unb_var3 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
 
FLA_Error FLA_Trsm_llh_unb_var4 (FLA_Diag diagA, FLA_Obj alpha, FLA_Obj A, FLA_Obj B)
 

Function Documentation

◆ FLA_Trsm_llh_blk_var1()

FLA_Error FLA_Trsm_llh_blk_var1 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal_internal(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_llh().

16 {
17  FLA_Obj ATL, ATR, A00, A01, A02,
18  ABL, ABR, A10, A11, A12,
19  A20, A21, A22;
20 
21  FLA_Obj BT, B0,
22  BB, B1,
23  B2;
24 
25  dim_t b;
26 
27  FLA_Scal_internal( alpha, B,
28  FLA_Cntl_sub_scal( cntl ) );
29 
30  FLA_Part_2x2( A, &ATL, &ATR,
31  &ABL, &ABR, 0, 0, FLA_BR );
32 
33  FLA_Part_2x1( B, &BT,
34  &BB, 0, FLA_BOTTOM );
35 
36  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
37 
38  b = FLA_Determine_blocksize( ATL, FLA_TL, FLA_Cntl_blocksize( cntl ) );
39 
40  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &A01, /**/ &A02,
41  &A10, &A11, /**/ &A12,
42  /* ************* */ /* ******************** */
43  ABL, /**/ ABR, &A20, &A21, /**/ &A22,
44  b, b, FLA_TL );
45 
46  FLA_Repart_2x1_to_3x1( BT, &B0,
47  &B1,
48  /* ** */ /* ** */
49  BB, &B2, b, FLA_TOP );
50 
51  /*------------------------------------------------------------*/
52 
53  /* B1 = B1 - A21' * B2; */
54  FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
55  FLA_MINUS_ONE, A21, B2, FLA_ONE, B1,
56  FLA_Cntl_sub_gemm( cntl ) );
57 
58  /* B1 = tril( A11' ) \ B1; */
59  FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
60  FLA_ONE, A11, B1,
61  FLA_Cntl_sub_trsm( cntl ) );
62 
63  /*------------------------------------------------------------*/
64 
65  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ A01, A02,
66  /* ************** */ /* ****************** */
67  A10, /**/ A11, A12,
68  &ABL, /**/ &ABR, A20, /**/ A21, A22,
69  FLA_BR );
70 
71  FLA_Cont_with_3x1_to_2x1( &BT, B0,
72  /* ** */ /* ** */
73  B1,
74  &BB, B2, FLA_BOTTOM );
75 
76  }
77 
78  return FLA_SUCCESS;
79 }
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_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_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
Definition: FLA_type_defs.h:158
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_Scal_internal(FLA_Obj alpha, FLA_Obj A, fla_scal_t *cntl)
Definition: FLA_Scal_internal.c:16
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
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_Trsm_llh_blk_var2()

FLA_Error FLA_Trsm_llh_blk_var2 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), FLA_Scal_internal(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_llh().

14 {
15  FLA_Obj ATL, ATR, A00, A01, A02,
16  ABL, ABR, A10, A11, A12,
17  A20, A21, A22;
18 
19  FLA_Obj BT, B0,
20  BB, B1,
21  B2;
22 
23  dim_t b;
24 
25  FLA_Scal_internal( alpha, B,
26  FLA_Cntl_sub_scal( cntl ) );
27 
28  FLA_Part_2x2( A, &ATL, &ATR,
29  &ABL, &ABR, 0, 0, FLA_BR );
30 
31  FLA_Part_2x1( B, &BT,
32  &BB, 0, FLA_BOTTOM );
33 
34  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
35 
36  b = FLA_Determine_blocksize( ATL, FLA_TL, FLA_Cntl_blocksize( cntl ) );
37 
38  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &A01, /**/ &A02,
39  &A10, &A11, /**/ &A12,
40  /* ************* */ /* ******************** */
41  ABL, /**/ ABR, &A20, &A21, /**/ &A22,
42  b, b, FLA_TL );
43 
44  FLA_Repart_2x1_to_3x1( BT, &B0,
45  &B1,
46  /* ** */ /* ** */
47  BB, &B2, b, FLA_TOP );
48 
49  /*------------------------------------------------------------*/
50 
51  /* B1 = tril( A11' ) \ B1; */
52  FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
53  FLA_ONE, A11, B1,
54  FLA_Cntl_sub_trsm( cntl ) );
55 
56  /* B0 = B0 - A10' * B1; */
57  FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE,
58  FLA_MINUS_ONE, A10, B1, FLA_ONE, B0,
59  FLA_Cntl_sub_gemm( cntl ) );
60 
61  /*------------------------------------------------------------*/
62 
63  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ A01, A02,
64  /* ************** */ /* ****************** */
65  A10, /**/ A11, A12,
66  &ABL, /**/ &ABR, A20, /**/ A21, A22,
67  FLA_BR );
68 
69  FLA_Cont_with_3x1_to_2x1( &BT, B0,
70  /* ** */ /* ** */
71  B1,
72  &BB, B2, FLA_BOTTOM );
73 
74  }
75 
76  return FLA_SUCCESS;
77 }
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_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_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
Definition: FLA_type_defs.h:158
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_Scal_internal(FLA_Obj alpha, FLA_Obj A, fla_scal_t *cntl)
Definition: FLA_Scal_internal.c:16
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
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_Trsm_llh_blk_var3()

FLA_Error FLA_Trsm_llh_blk_var3 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_llh().

14 {
15  FLA_Obj BL, BR, B0, B1, B2;
16 
17  dim_t b;
18 
19  FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT );
20 
21  while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){
22 
23  b = FLA_Determine_blocksize( BR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) );
24 
25  FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &B1, &B2,
26  b, FLA_RIGHT );
27 
28  /*------------------------------------------------------------*/
29 
30  /* B1 = tril( A' ) \ B1; */
31  FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
32  alpha, A, B1,
33  FLA_Cntl_sub_trsm( cntl ) );
34 
35  /*------------------------------------------------------------*/
36 
37  FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, B1, /**/ B2,
38  FLA_LEFT );
39 
40  }
41 
42  return FLA_SUCCESS;
43 }
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
dim_t FLA_Determine_blocksize(FLA_Obj A_unproc, FLA_Quadrant to_dir, fla_blocksize_t *cntl_blocksizes)
Definition: FLA_Blocksize.c:234
Definition: FLA_type_defs.h:158
dim_t FLA_Obj_width(FLA_Obj obj)
Definition: FLA_Query.c:123
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_1x2(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:110
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_Trsm_llh_blk_var4()

FLA_Error FLA_Trsm_llh_blk_var4 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B,
fla_trsm_t cntl 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), and FLA_Trsm_internal().

Referenced by FLA_Trsm_llh().

16 {
17  FLA_Obj BL, BR, B0, B1, B2;
18 
19  dim_t b;
20 
21  FLA_Part_1x2( B, &BL, &BR, 0, FLA_RIGHT );
22 
23  while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){
24 
25  b = FLA_Determine_blocksize( BL, FLA_LEFT, FLA_Cntl_blocksize( cntl ) );
26 
27  FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, &B1, /**/ &B2,
28  b, FLA_LEFT );
29 
30  /*------------------------------------------------------------*/
31 
32  /* B1 = tril( A' ) \ B1; */
33  FLA_Trsm_internal( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA,
34  alpha, A, B1,
35  FLA_Cntl_sub_trsm( cntl ) );
36 
37  /*------------------------------------------------------------*/
38 
39  FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, /**/ B1, B2,
40  FLA_RIGHT );
41 
42  }
43 
44  return FLA_SUCCESS;
45 }
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
dim_t FLA_Determine_blocksize(FLA_Obj A_unproc, FLA_Quadrant to_dir, fla_blocksize_t *cntl_blocksizes)
Definition: FLA_Blocksize.c:234
Definition: FLA_type_defs.h:158
dim_t FLA_Obj_width(FLA_Obj obj)
Definition: FLA_Query.c:123
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_1x2(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:110
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_Trsm_llh_unb_var1()

FLA_Error FLA_Trsm_llh_unb_var1 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gemvc_external(), FLA_Inv_scalc_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_ONE, FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Trsm_llh().

16 {
17  FLA_Obj ATL, ATR, A00, a01, A02,
18  ABL, ABR, a10t, alpha11, a12t,
19  A20, a21, A22;
20 
21  FLA_Obj BT, B0,
22  BB, b1t,
23  B2;
24 
25  FLA_Scal_external( alpha, B );
26 
27  FLA_Part_2x2( A, &ATL, &ATR,
28  &ABL, &ABR, 0, 0, FLA_BR );
29 
30  FLA_Part_2x1( B, &BT,
31  &BB, 0, FLA_BOTTOM );
32 
33  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
34 
35  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &a01, /**/ &A02,
36  &a10t, &alpha11, /**/ &a12t,
37  /* ************* */ /* ************************** */
38  ABL, /**/ ABR, &A20, &a21, /**/ &A22,
39  1, 1, FLA_TL );
40 
41  FLA_Repart_2x1_to_3x1( BT, &B0,
42  &b1t,
43  /* ** */ /* *** */
44  BB, &B2, 1, FLA_TOP );
45 
46  /*------------------------------------------------------------*/
47 
48  /* b1t = b1t - a21' * B2; */
49  FLA_Gemvc_external( FLA_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, B2, a21, FLA_ONE, b1t );
50 
51  /* b1t = b1t / alpha11'; */
52  if ( diagA != FLA_UNIT_DIAG )
53  FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1t );
54 
55  /*------------------------------------------------------------*/
56 
57  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ a01, A02,
58  /* ************** */ /* ************************ */
59  a10t, /**/ alpha11, a12t,
60  &ABL, /**/ &ABR, A20, /**/ a21, A22,
61  FLA_BR );
62 
63  FLA_Cont_with_3x1_to_2x1( &BT, B0,
64  /* ** */ /* *** */
65  b1t,
66  &BB, B2, FLA_BOTTOM );
67 
68  }
69 
70  return FLA_SUCCESS;
71 }
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_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
FLA_Error FLA_Scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Scal_external.c:13
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
Definition: FLA_type_defs.h:158
FLA_Error FLA_Gemvc_external(FLA_Trans transa, FLA_Conj conjx, FLA_Obj alpha, FLA_Obj A, FLA_Obj x, FLA_Obj beta, FLA_Obj y)
Definition: FLA_Gemvc_external.c:13
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
FLA_Error FLA_Inv_scalc_external(FLA_Conj conjalpha, FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Inv_scalc_external.c:13

◆ FLA_Trsm_llh_unb_var2()

FLA_Error FLA_Trsm_llh_unb_var2 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_3x1_to_2x1(), FLA_Cont_with_3x3_to_2x2(), FLA_Gerc_external(), FLA_Inv_scalc_external(), FLA_MINUS_ONE, FLA_Obj_length(), FLA_Part_2x1(), FLA_Part_2x2(), FLA_Repart_2x1_to_3x1(), FLA_Repart_2x2_to_3x3(), and FLA_Scal_external().

Referenced by FLA_Trsm_llh().

16 {
17  FLA_Obj ATL, ATR, A00, a01, A02,
18  ABL, ABR, a10t, alpha11, a12t,
19  A20, a21, A22;
20 
21  FLA_Obj BT, B0,
22  BB, b1t,
23  B2;
24 
25  FLA_Scal_external( alpha, B );
26 
27  FLA_Part_2x2( A, &ATL, &ATR,
28  &ABL, &ABR, 0, 0, FLA_BR );
29 
30  FLA_Part_2x1( B, &BT,
31  &BB, 0, FLA_BOTTOM );
32 
33  while ( FLA_Obj_length( ABR ) < FLA_Obj_length( A ) ){
34 
35  FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, &a01, /**/ &A02,
36  &a10t, &alpha11, /**/ &a12t,
37  /* ************* */ /* ************************** */
38  ABL, /**/ ABR, &A20, &a21, /**/ &A22,
39  1, 1, FLA_TL );
40 
41  FLA_Repart_2x1_to_3x1( BT, &B0,
42  &b1t,
43  /* ** */ /* *** */
44  BB, &B2, 1, FLA_TOP );
45 
46  /*------------------------------------------------------------*/
47 
48  /* b1t = b1t / alpha11'; */
49  if ( diagA != FLA_UNIT_DIAG )
50  FLA_Inv_scalc_external( FLA_CONJUGATE, alpha11, b1t );
51 
52  /* B0 = B0 - a10t' * b1t; */
53  FLA_Gerc_external( FLA_CONJUGATE, FLA_NO_CONJUGATE, FLA_MINUS_ONE, a10t, b1t, B0 );
54 
55  /*------------------------------------------------------------*/
56 
57  FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, /**/ a01, A02,
58  /* ************** */ /* ************************ */
59  a10t, /**/ alpha11, a12t,
60  &ABL, /**/ &ABR, A20, /**/ a21, A22,
61  FLA_BR );
62 
63  FLA_Cont_with_3x1_to_2x1( &BT, B0,
64  /* ** */ /* *** */
65  b1t,
66  &BB, B2, FLA_BOTTOM );
67 
68  }
69 
70  return FLA_SUCCESS;
71 }
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_Obj FLA_MINUS_ONE
Definition: FLA_Init.c:22
FLA_Error FLA_Scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Scal_external.c:13
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_Error FLA_Gerc_external(FLA_Conj conjx, FLA_Conj conjy, FLA_Obj alpha, FLA_Obj x, FLA_Obj y, FLA_Obj A)
Definition: FLA_Gerc_external.c:13
Definition: FLA_type_defs.h:158
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
FLA_Error FLA_Inv_scalc_external(FLA_Conj conjalpha, FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Inv_scalc_external.c:13

◆ FLA_Trsm_llh_unb_var3()

FLA_Error FLA_Trsm_llh_unb_var3 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), FLA_Scal_external(), and FLA_Trsv_external().

Referenced by FLA_Trsm_llh().

16 {
17  FLA_Obj BL, BR, B0, b1, B2;
18 
19  FLA_Scal_external( alpha, B );
20 
21  FLA_Part_1x2( B, &BL, &BR, 0, FLA_LEFT );
22 
23  while ( FLA_Obj_width( BL ) < FLA_Obj_width( B ) ){
24 
25  FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, /**/ &b1, &B2,
26  1, FLA_RIGHT );
27 
28  /*------------------------------------------------------------*/
29 
30  /* b1 = tril( A' ) \ b1; */
31  FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA, A, b1 );
32 
33  /*------------------------------------------------------------*/
34 
35  FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, b1, /**/ B2,
36  FLA_LEFT );
37 
38  }
39 
40  return FLA_SUCCESS;
41 }
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
FLA_Error FLA_Scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Scal_external.c:13
Definition: FLA_type_defs.h:158
dim_t FLA_Obj_width(FLA_Obj obj)
Definition: FLA_Query.c:123
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_1x2(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:110
FLA_Error FLA_Trsv_external(FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj A, FLA_Obj x)
Definition: FLA_Trsv_external.c:13

◆ FLA_Trsm_llh_unb_var4()

FLA_Error FLA_Trsm_llh_unb_var4 ( FLA_Diag  diagA,
FLA_Obj  alpha,
FLA_Obj  A,
FLA_Obj  B 
)

References FLA_Cont_with_1x3_to_1x2(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), FLA_Scal_external(), and FLA_Trsv_external().

Referenced by FLA_Trsm_llh().

16 {
17  FLA_Obj BL, BR, B0, b1, B2;
18 
19  FLA_Scal_external( alpha, B );
20 
21  FLA_Part_1x2( B, &BL, &BR, 0, FLA_RIGHT );
22 
23  while ( FLA_Obj_width( BR ) < FLA_Obj_width( B ) ){
24 
25  FLA_Repart_1x2_to_1x3( BL, /**/ BR, &B0, &b1, /**/ &B2,
26  1, FLA_LEFT );
27 
28  /*------------------------------------------------------------*/
29 
30  /* b1 = tril( A' ) \ b1; */
31  FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, diagA, A, b1 );
32 
33  /*------------------------------------------------------------*/
34 
35  FLA_Cont_with_1x3_to_1x2( &BL, /**/ &BR, B0, /**/ b1, B2,
36  FLA_RIGHT );
37 
38  }
39 
40  return FLA_SUCCESS;
41 }
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
FLA_Error FLA_Scal_external(FLA_Obj alpha, FLA_Obj A)
Definition: FLA_Scal_external.c:13
Definition: FLA_type_defs.h:158
dim_t FLA_Obj_width(FLA_Obj obj)
Definition: FLA_Query.c:123
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_1x2(FLA_Obj A, FLA_Obj *A1, FLA_Obj *A2, dim_t nb, FLA_Side side)
Definition: FLA_View.c:110
FLA_Error FLA_Trsv_external(FLA_Uplo uplo, FLA_Trans transa, FLA_Diag diag, FLA_Obj A, FLA_Obj x)
Definition: FLA_Trsv_external.c:13