FLA_Apply_Q2_UT_lhfc.h File Reference

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Functions
FLA_Error	FLA_Apply_Q2_UT_lhfc_blk_var1 (FLA_Obj D, FLA_Obj T, FLA_Obj W1, FLA_Obj C, FLA_Obj E, fla_apq2ut_t *cntl)
FLA_Error	FLA_Apply_Q2_UT_lhfc_blk_var2 (FLA_Obj D, FLA_Obj T, FLA_Obj W1, FLA_Obj C, FLA_Obj E, fla_apq2ut_t *cntl)
FLA_Error	FLA_Apply_Q2_UT_lhfc_blk_var3 (FLA_Obj D, FLA_Obj T, FLA_Obj W, FLA_Obj C, FLA_Obj E, fla_apq2ut_t *cntl)

Function Documentation

FLA_Apply_Q2_UT_lhfc_blk_var1()

FLA_Error FLA_Apply_Q2_UT_lhfc_blk_var1	(	FLA_Obj	D,
		FLA_Obj	T,
		FLA_Obj	W1,
		FLA_Obj	C,
		FLA_Obj	E,
		fla_apq2ut_t *	cntl
	)

{
  FLA_Obj DL,    DR,       D0,  D1,  D2;
 
  FLA_Obj TL,    TR,       T0,  T1,  T2;
 
  FLA_Obj T1T,
          T2B;
 
  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;
 
  FLA_Obj W1TL,  W1TR,
          W1BL,  W1BR;
 
  dim_t   b_alg, b;
 
  // Query the algorithmic blocksize by inspecting the length of T.
  b_alg = FLA_Obj_length( T );
 
  FLA_Part_1x2( D,    &DL,  &DR,      0, FLA_LEFT );
 
  FLA_Part_1x2( T,    &TL,  &TR,      0, FLA_LEFT );
 
  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );
 
  while ( FLA_Obj_width( DL ) < FLA_Obj_width( D ) ){
 
    b = min( b_alg, FLA_Obj_width( DR ) );
 
    FLA_Repart_1x2_to_1x3( DL,  /**/ DR,        &D0, /**/ &D1, &D2,
                           b, FLA_RIGHT );
 
    FLA_Repart_1x2_to_1x3( TL,  /**/ TR,        &T0, /**/ &T1, &T2,
                           b, FLA_RIGHT );
 
    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &C1, 
                           CB,                &C2,        b, FLA_BOTTOM );
 
    /*------------------------------------------------------------*/
 
    FLA_Part_2x1( T1,    &T1T, 
                         &T2B,     b, FLA_TOP );
 
    FLA_Part_2x2( W1,    &W1TL, &W1TR,
                         &W1BL, &W1BR,     b, FLA_Obj_width( C1 ), FLA_TL );
 
    // W1TL = C1;
 
    FLA_Copyt_internal( FLA_NO_TRANSPOSE, C1, W1TL,
                        FLA_Cntl_sub_copyt( cntl ) );
 
    // W1TL = inv( triu( T1T ) )' * ( C1 + D1' * E );
 
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       FLA_ONE, D1, E, FLA_ONE, W1TL,
                       FLA_Cntl_sub_gemm1( cntl ) );
 
    FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, T1T, W1TL,
                       FLA_Cntl_sub_trsm( cntl ) );
 
    // C1 = C1 - W1TL;
    // E  = E  - D1 * W1TL;
 
    FLA_Axpyt_internal( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, W1TL, C1,
                        FLA_Cntl_sub_axpyt( cntl ) );
 
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, D1, W1TL, FLA_ONE, E,
                       FLA_Cntl_sub_gemm2( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &DL,  /**/ &DR,        D0, D1, /**/ D2,
                              FLA_LEFT );
 
    FLA_Cont_with_1x3_to_1x2( &TL,  /**/ &TR,        T0, T1, /**/ T2,
                              FLA_LEFT );
 
    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  C1, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );
  }
 
  return FLA_SUCCESS;
}

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(), FLA_Trsm_internal(), and i.

Referenced by FLA_Apply_Q2_UT_lhfc().

FLA_Apply_Q2_UT_lhfc_blk_var2()

FLA_Error FLA_Apply_Q2_UT_lhfc_blk_var2	(	FLA_Obj	D,
		FLA_Obj	T,
		FLA_Obj	W1,
		FLA_Obj	C,
		FLA_Obj	E,
		fla_apq2ut_t *	cntl
	)

{
  FLA_Obj DT,              D0,
          DB,              D1,
                           D2;
 
  FLA_Obj TT,              T0,
          TB,              T1,
                           T2;
 
  FLA_Obj ET,              E0,
          EB,              E1,
                           E2;
 
  dim_t b;
 
  FLA_Part_2x1( D,    &DT, 
                      &DB,            0, FLA_TOP );
 
  FLA_Part_2x1( T,    &TT, 
                      &TB,            0, FLA_TOP );
 
  FLA_Part_2x1( E,    &ET, 
                      &EB,            0, FLA_TOP );
 
  while ( FLA_Obj_length( DT ) < FLA_Obj_length( D ) ){
 
    b = FLA_Determine_blocksize( DB, FLA_BOTTOM, FLA_Cntl_blocksize( cntl ) );
 
    FLA_Repart_2x1_to_3x1( DT,                &D0, 
                        /* ** */            /* ** */
                                              &D1, 
                           DB,                &D2,        b, FLA_BOTTOM );
 
    FLA_Repart_2x1_to_3x1( TT,                &T0, 
                        /* ** */            /* ** */
                                              &T1, 
                           TB,                &T2,        b, FLA_BOTTOM );
 
    FLA_Repart_2x1_to_3x1( ET,                &E0, 
                        /* ** */            /* ** */
                                              &E1, 
                           EB,                &E2,        b, FLA_BOTTOM );
 
    /*------------------------------------------------------------*/
 
    //  / C  \ =  Q' / C  \
    //  \ E1 /       \ E1 /
    //
    //  where Q is formed from D1 and T1.
 
    FLA_Apply_Q2_UT_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_FORWARD, FLA_COLUMNWISE,
                              D1, T1, W1, C,
                                          E1, FLA_Cntl_sub_apq2ut( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_3x1_to_2x1( &DT,                D0, 
                                                  D1, 
                            /* ** */           /* ** */
                              &DB,                D2,     FLA_TOP );
 
    FLA_Cont_with_3x1_to_2x1( &TT,                T0, 
                                                  T1, 
                            /* ** */           /* ** */
                              &TB,                T2,     FLA_TOP );
 
    FLA_Cont_with_3x1_to_2x1( &ET,                E0, 
                                                  E1, 
                            /* ** */           /* ** */
                              &EB,                E2,     FLA_TOP );
  }
 
  return FLA_SUCCESS;
}

References FLA_Apply_Q2_UT_internal(), FLA_Cont_with_3x1_to_2x1(), FLA_Determine_blocksize(), FLA_Obj_length(), FLA_Part_2x1(), FLA_Repart_2x1_to_3x1(), and i.

Referenced by FLA_Apply_Q2_UT_lhfc().

FLA_Apply_Q2_UT_lhfc_blk_var3()

FLA_Error FLA_Apply_Q2_UT_lhfc_blk_var3	(	FLA_Obj	D,
		FLA_Obj	T,
		FLA_Obj	W,
		FLA_Obj	C,
		FLA_Obj	E,
		fla_apq2ut_t *	cntl
	)

{
  FLA_Obj WL,    WR,       W0,  W1,  W2;
 
  FLA_Obj CL,    CR,       C0,  C1,  C2;
 
  FLA_Obj EL,    ER,       E0,  E1,  E2;
 
  dim_t b;
 
  FLA_Part_1x2( W,    &WL,  &WR,      0, FLA_LEFT );
 
  FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_LEFT );
 
  FLA_Part_1x2( E,    &EL,  &ER,      0, FLA_LEFT );
 
  while ( FLA_Obj_width( CL ) < FLA_Obj_width( C ) ){
 
    b = FLA_Determine_blocksize( CR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) );
 
    FLA_Repart_1x2_to_1x3( WL,  /**/ WR,        &W0, /**/ &W1, &W2,
                           b, FLA_RIGHT );
 
    FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, /**/ &C1, &C2,
                           b, FLA_RIGHT );
 
    FLA_Repart_1x2_to_1x3( EL,  /**/ ER,        &E0, /**/ &E1, &E2,
                           b, FLA_RIGHT );
 
    /*------------------------------------------------------------*/
 
    //  / C1 \ =  Q' / C1 \
    //  \ E1 /       \ E1 /
    //
    //  where Q is formed from D and T.
 
    FLA_Apply_Q2_UT_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_FORWARD, FLA_COLUMNWISE,
                              D, T, W1, C1,
                                        E1, FLA_Cntl_sub_apq2ut( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &WL,  /**/ &WR,        W0, W1, /**/ W2,
                              FLA_LEFT );
 
    FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, C1, /**/ C2,
                              FLA_LEFT );
 
    FLA_Cont_with_1x3_to_1x2( &EL,  /**/ &ER,        E0, E1, /**/ E2,
                              FLA_LEFT );
  }
 
  return FLA_SUCCESS;
}

References FLA_Apply_Q2_UT_internal(), FLA_Cont_with_1x3_to_1x2(), FLA_Determine_blocksize(), FLA_Obj_width(), FLA_Part_1x2(), FLA_Repart_1x2_to_1x3(), and i.

Referenced by FLA_Apply_Q2_UT_lhfc().