FLA_Apply_QUD_UT_lhfc.h File Reference

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Functions
FLA_Error	FLA_Apply_QUD_UT_lhfc_blk_var1 (FLA_Obj T, FLA_Obj W, FLA_Obj R, FLA_Obj U, FLA_Obj C, FLA_Obj V, FLA_Obj D, fla_apqudut_t *cntl)
FLA_Error	FLA_Apply_QUD_UT_lhfc_blk_var2 (FLA_Obj T, FLA_Obj W, FLA_Obj R, FLA_Obj U, FLA_Obj C, FLA_Obj V, FLA_Obj D, fla_apqudut_t *cntl)
FLA_Error	FLA_Apply_QUD_UT_lhfc_blk_var3 (FLA_Obj T, FLA_Obj W, FLA_Obj R, FLA_Obj U, FLA_Obj C, FLA_Obj V, FLA_Obj D, fla_apqudut_t *cntl)

Function Documentation

FLA_Apply_QUD_UT_lhfc_blk_var1()

FLA_Error FLA_Apply_QUD_UT_lhfc_blk_var1	(	FLA_Obj	T,
		FLA_Obj	W,
		FLA_Obj	R,
		FLA_Obj	U,
		FLA_Obj	C,
		FLA_Obj	V,
		FLA_Obj	D,
		fla_apqudut_t *	cntl
	)

{
  FLA_Obj TL,    TR,       T0,  T1,  T2;
 
  FLA_Obj UL,    UR,       U0,  U1,  U2;
 
  FLA_Obj VL,    VR,       V0,  V1,  V2;
 
  FLA_Obj RT,              R0,
          RB,              R1,
                           R2;
 
  FLA_Obj T1T,
          T1B;
 
  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( T,    &TL,  &TR,      0, FLA_LEFT );
 
  FLA_Part_1x2( U,    &UL,  &UR,      0, FLA_LEFT );
 
  FLA_Part_1x2( V,    &VL,  &VR,      0, FLA_LEFT );
 
  FLA_Part_2x1( R,    &RT, 
                      &RB,            0, FLA_TOP );
 
  while ( FLA_Obj_width( UL ) < FLA_Obj_width( U ) ){
 
    b = min( b_alg, FLA_Obj_width( UR ) );
 
    FLA_Repart_1x2_to_1x3( TL,  /**/ TR,        &T0, /**/ &T1, &T2,
                           b, FLA_RIGHT );
 
    FLA_Repart_1x2_to_1x3( UL,  /**/ UR,        &U0, /**/ &U1, &U2,
                           b, FLA_RIGHT );
 
    FLA_Repart_1x2_to_1x3( VL,  /**/ VR,        &V0, /**/ &V1, &V2,
                           b, FLA_RIGHT );
 
    FLA_Repart_2x1_to_3x1( RT,                &R0, 
                        /* ** */            /* ** */
                                              &R1, 
                           RB,                &R2,        b, FLA_BOTTOM );
 
    /*------------------------------------------------------------*/
 
    FLA_Part_2x1( T1,    &T1T,
                         &T1B,    b, FLA_TOP );
 
    FLA_Part_2x2( W,     &W1TL, &W1TR,
                         &W1BL, &W1BR,     b, FLA_Obj_width( R1 ), FLA_TL );
 
    // W1TL = R1;
 
    FLA_Copyt_internal( FLA_NO_TRANSPOSE, R1, W1TL,
                        FLA_Cntl_sub_copyt( cntl ) );
 
    // W1TL = inv( triu( T1T ) )' * ( R1 + U1' * C + V1' * D );
 
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       FLA_ONE, U1, C, FLA_ONE, W1TL,
                       FLA_Cntl_sub_gemm1( cntl ) );
 
    FLA_Gemm_internal( FLA_CONJ_TRANSPOSE, FLA_NO_TRANSPOSE, 
                       FLA_ONE, V1, D, FLA_ONE, W1TL,
                       FLA_Cntl_sub_gemm2( cntl ) );
 
    FLA_Trsm_internal( FLA_LEFT, FLA_UPPER_TRIANGULAR,
                       FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG,
                       FLA_ONE, T1T, W1TL,
                       FLA_Cntl_sub_trsm( cntl ) );
 
    // R1 = R1 - W1TL;
    // C  = C  - U1 * W1TL;
    // D  = D  + V1 * W1TL;
 
    FLA_Axpyt_internal( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, W1TL, R1,
                        FLA_Cntl_sub_axpyt( cntl ) );
 
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_MINUS_ONE, U1, W1TL, FLA_ONE, C,
                       FLA_Cntl_sub_gemm3( cntl ) );
 
    FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_NO_TRANSPOSE,
                       FLA_ONE, V1, W1TL, FLA_ONE, D,
                       FLA_Cntl_sub_gemm4( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &TL,  /**/ &TR,        T0, T1, /**/ T2,
                              FLA_LEFT );
 
    FLA_Cont_with_1x3_to_1x2( &UL,  /**/ &UR,        U0, U1, /**/ U2,
                              FLA_LEFT );
 
    FLA_Cont_with_1x3_to_1x2( &VL,  /**/ &VR,        V0, V1, /**/ V2,
                              FLA_LEFT );
 
    FLA_Cont_with_3x1_to_2x1( &RT,                R0, 
                                                  R1, 
                            /* ** */           /* ** */
                              &RB,                R2,     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_QUD_UT_lhfc().

FLA_Apply_QUD_UT_lhfc_blk_var2()

FLA_Error FLA_Apply_QUD_UT_lhfc_blk_var2	(	FLA_Obj	T,
		FLA_Obj	W,
		FLA_Obj	R,
		FLA_Obj	U,
		FLA_Obj	C,
		FLA_Obj	V,
		FLA_Obj	D,
		fla_apqudut_t *	cntl
	)

{
  FLA_Obj WL,    WR,       W0,  W1,  W2;
 
  FLA_Obj RL,    RR,       R0,  R1,  R2;
 
  FLA_Obj CL,    CR,       C0,  C1,  C2;
 
  FLA_Obj DL,    DR,       D0,  D1,  D2;
 
  dim_t b;
 
  FLA_Part_1x2( W,    &WL,  &WR,      0, FLA_LEFT );
 
  FLA_Part_1x2( R,    &RL,  &RR,      0, FLA_LEFT );
 
  FLA_Part_1x2( C,    &CL,  &CR,      0, FLA_LEFT );
 
  FLA_Part_1x2( D,    &DL,  &DR,      0, FLA_LEFT );
 
  while ( FLA_Obj_width( RL ) < FLA_Obj_width( R ) ){
 
    b = FLA_Determine_blocksize( RR, FLA_RIGHT, FLA_Cntl_blocksize( cntl ) );
 
    FLA_Repart_1x2_to_1x3( WL,  /**/ WR,        &W0, /**/ &W1, &W2,
                           b, FLA_RIGHT );
 
    FLA_Repart_1x2_to_1x3( RL,  /**/ RR,        &R0, /**/ &R1, &R2,
                           b, FLA_RIGHT );
 
    FLA_Repart_1x2_to_1x3( CL,  /**/ CR,        &C0, /**/ &C1, &C2,
                           b, FLA_RIGHT );
 
    FLA_Repart_1x2_to_1x3( DL,  /**/ DR,        &D0, /**/ &D1, &D2,
                           b, FLA_RIGHT );
 
    /*------------------------------------------------------------*/
 
    //  Apply Q' to R1, C1, and D1 from the left:
    //
    //  / R1 \       / R1 \
    //  | C1 | =  Q' | C1 |
    //  \ D1 /       \ D1 /
    //
    //  where Q is formed from U, V, and T.
 
    FLA_Apply_QUD_UT_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_FORWARD, FLA_COLUMNWISE,
                                T, W1,
                                   R1,
                                U, C1,
                                V, D1, FLA_Cntl_sub_apqudut( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_1x3_to_1x2( &WL,  /**/ &WR,        W0, W1, /**/ W2,
                              FLA_LEFT );
 
    FLA_Cont_with_1x3_to_1x2( &RL,  /**/ &RR,        R0, R1, /**/ R2,
                              FLA_LEFT );
 
    FLA_Cont_with_1x3_to_1x2( &CL,  /**/ &CR,        C0, C1, /**/ C2,
                              FLA_LEFT );
 
    FLA_Cont_with_1x3_to_1x2( &DL,  /**/ &DR,        D0, D1, /**/ D2,
                              FLA_LEFT );
  }
 
  return FLA_SUCCESS;
}

References FLA_Apply_QUD_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_QUD_UT_lhfc().

FLA_Apply_QUD_UT_lhfc_blk_var3()

FLA_Error FLA_Apply_QUD_UT_lhfc_blk_var3	(	FLA_Obj	T,
		FLA_Obj	W,
		FLA_Obj	R,
		FLA_Obj	U,
		FLA_Obj	C,
		FLA_Obj	V,
		FLA_Obj	D,
		fla_apqudut_t *	cntl
	)

{
  FLA_Obj TT,              T0,
          TB,              T1,
                           T2;
 
  FLA_Obj UT,              U0,
          UB,              U1,
                           U2;
 
  FLA_Obj VT,              V0,
          VB,              V1,
                           V2;
 
  FLA_Obj CT,              C0,
          CB,              C1,
                           C2;
 
  FLA_Obj DT,              D0,
          DB,              D1,
                           D2;
 
  dim_t b_T, b_UC, b_VD;
 
  FLA_Part_2x1( T,    &TT, 
                      &TB,            0, FLA_TOP );
 
  FLA_Part_2x1( U,    &UT, 
                      &UB,            0, FLA_TOP );
 
  FLA_Part_2x1( V,    &VT, 
                      &VB,            0, FLA_TOP );
 
  FLA_Part_2x1( C,    &CT, 
                      &CB,            0, FLA_TOP );
 
  FLA_Part_2x1( D,    &DT, 
                      &DB,            0, FLA_TOP );
 
  while ( FLA_Obj_length( TT ) < FLA_Obj_length( T ) ){
 
    b_T  = FLA_Determine_blocksize( TB, FLA_BOTTOM, FLA_Cntl_blocksize( cntl ) );
    b_UC = FLA_Determine_blocksize( UB, FLA_BOTTOM, FLA_Cntl_blocksize( cntl ) );
    b_VD = FLA_Determine_blocksize( VB, FLA_BOTTOM, FLA_Cntl_blocksize( cntl ) );
 
    FLA_Repart_2x1_to_3x1( TT,                &T0, 
                        /* ** */            /* ** */
                                              &T1, 
                           TB,                &T2,        b_T, FLA_BOTTOM );
 
    FLA_Repart_2x1_to_3x1( UT,                &U0, 
                        /* ** */            /* ** */
                                              &U1, 
                           UB,                &U2,        b_UC, FLA_BOTTOM );
 
    FLA_Repart_2x1_to_3x1( VT,                &V0, 
                        /* ** */            /* ** */
                                              &V1, 
                           VB,                &V2,        b_VD, FLA_BOTTOM );
 
    FLA_Repart_2x1_to_3x1( CT,                &C0, 
                        /* ** */            /* ** */
                                              &C1, 
                           CB,                &C2,        b_UC, FLA_BOTTOM );
 
    FLA_Repart_2x1_to_3x1( DT,                &D0, 
                        /* ** */            /* ** */
                                              &D1, 
                           DB,                &D2,        b_VD, FLA_BOTTOM );
 
    /*------------------------------------------------------------*/
 
    //  / R  \        / R  \
    //  | C1 |  =  Q' | C1 |
    //  \ D1 /        \ D1 /
    //
    //  where Q is formed from U1, V1, and T1.
 
    FLA_Apply_QUD_UT_internal( FLA_LEFT, FLA_CONJ_TRANSPOSE, FLA_FORWARD, FLA_COLUMNWISE,
                               T1, W,
                                   R,
                               U1, C1,
                               V1, D1, FLA_Cntl_sub_apqudut( cntl ) );
 
    /*------------------------------------------------------------*/
 
    FLA_Cont_with_3x1_to_2x1( &TT,                T0, 
                                                  T1, 
                            /* ** */           /* ** */
                              &TB,                T2,     FLA_TOP );
 
    FLA_Cont_with_3x1_to_2x1( &UT,                U0, 
                                                  U1, 
                            /* ** */           /* ** */
                              &UB,                U2,     FLA_TOP );
 
    FLA_Cont_with_3x1_to_2x1( &VT,                V0, 
                                                  V1, 
                            /* ** */           /* ** */
                              &VB,                V2,     FLA_TOP );
 
    FLA_Cont_with_3x1_to_2x1( &CT,                C0, 
                                                  C1, 
                            /* ** */           /* ** */
                              &CB,                C2,     FLA_TOP );
 
    FLA_Cont_with_3x1_to_2x1( &DT,                D0, 
                                                  D1, 
                            /* ** */           /* ** */
                              &DB,                D2,     FLA_TOP );
  }
 
  return FLA_SUCCESS;
}

References FLA_Apply_QUD_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_QUD_UT_lhfc().