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FLA_Bidiag_UT_internal.c File Reference

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Functions

FLA_Error FLA_Bidiag_UT_internal (FLA_Obj A, FLA_Obj TU, FLA_Obj TV, fla_bidiagut_t *cntl)
 

Function Documentation

◆ FLA_Bidiag_UT_internal()

FLA_Error FLA_Bidiag_UT_internal ( FLA_Obj  A,
FLA_Obj  TU,
FLA_Obj  TV,
fla_bidiagut_t cntl 
)
14 {
15  FLA_Error r_val = FLA_SUCCESS;
16 
17  if ( FLA_Check_error_level() == FLA_FULL_ERROR_CHECKING )
18  FLA_Bidiag_UT_internal_check( A, TU, TV, cntl );
19 
20  if ( FLA_Obj_length( A ) >= FLA_Obj_width( A ) )
21  {
22  r_val = FLA_Bidiag_UT_u( A, TU, TV, cntl );
23  }
24  else // if ( FLA_Obj_length( A ) < FLA_Obj_width( A ) )
25  {
26  // Flip A; swap(rs, cs), swap(m, n)
27  FLA_Obj_flip_base( &A );
28  FLA_Obj_flip_view( &A );
29 
30  r_val = FLA_Bidiag_UT_u( A, TV, TU, cntl );
31 
32  // Recover A; swap(rs, cs), swap(m, n)
33  FLA_Obj_flip_base( &A );
34  FLA_Obj_flip_view( &A );
35 
36  // According to the UT transform, the house-holder vectors are conjugated
37  // when they are applied from the right.
38  if ( FLA_Obj_is_complex( A ) )
39  {
40  FLA_Obj ATL, ATR,
41  ABL, ABR;
42  dim_t b;
43 
44  FLA_Conjugate( TU );
45  FLA_Conjugate( TV );
46 
47  // U
48  b = ( FLA_Obj_length( A ) - 1 );
49  FLA_Part_2x2( A, &ATL, &ATR,
50  &ABL, &ABR, 2, b, FLA_TL );
51  FLA_Conjugate_r( FLA_LOWER_TRIANGULAR, ABL );
52 
53  // V
54  b = ( FLA_Obj_width( A ) - 1 );
55  FLA_Part_1x2( A, &ATL, &ATR, b, FLA_RIGHT );
56  FLA_Conjugate_r( FLA_UPPER_TRIANGULAR, ATR );
57  }
58  }
59 
60  return r_val;
61 }
FLA_Error FLA_Bidiag_UT_u(FLA_Obj A, FLA_Obj TU, FLA_Obj TV, fla_bidiagut_t *cntl)
Definition: FLA_Bidiag_UT_u.c:13
FLA_Error FLA_Bidiag_UT_internal_check(FLA_Obj A, FLA_Obj TU, FLA_Obj TV, fla_bidiagut_t *cntl)
Definition: FLA_Bidiag_UT_internal_check.c:13
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_Obj_flip_view(FLA_Obj *obj)
Definition: FLA_Obj.c:669
FLA_Error FLA_Obj_flip_base(FLA_Obj *obj)
Definition: FLA_Obj.c:647
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
dim_t FLA_Obj_length(FLA_Obj obj)
Definition: FLA_Query.c:116
FLA_Bool FLA_Obj_is_complex(FLA_Obj A)
Definition: FLA_Query.c:324
unsigned int FLA_Check_error_level(void)
Definition: FLA_Check.c:18
int FLA_Error
Definition: FLA_type_defs.h:47
unsigned long dim_t
Definition: FLA_type_defs.h:71
FLA_Error FLA_Conjugate_r(FLA_Uplo uplo, FLA_Obj A)
Definition: FLA_Conjugate_r.c:13
FLA_Error FLA_Conjugate(FLA_Obj A)
Definition: FLA_Conjugate.c:13
Definition: FLA_type_defs.h:159

References FLA_Bidiag_UT_internal_check(), FLA_Bidiag_UT_u(), FLA_Check_error_level(), FLA_Conjugate(), FLA_Conjugate_r(), FLA_Obj_flip_base(), FLA_Obj_flip_view(), FLA_Obj_is_complex(), FLA_Obj_length(), FLA_Obj_width(), FLA_Part_1x2(), and FLA_Part_2x2().

Referenced by FLA_Bidiag_UT().