FLA_Apply_QUD_UT_lhfc_blk_var1.c File Reference

(r)

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)

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().