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Functions | |
FLA_Error | FLA_Chol_l_blk_var1 (FLA_Obj A, fla_chol_t *cntl) |
FLA_Error | FLA_Chol_l_blk_var2 (FLA_Obj A, fla_chol_t *cntl) |
FLA_Error | FLA_Chol_l_blk_var3 (FLA_Obj A, fla_chol_t *cntl) |
FLA_Error | FLA_Chol_l_unb_var1 (FLA_Obj A) |
FLA_Error | FLA_Chol_l_unb_var2 (FLA_Obj A) |
FLA_Error | FLA_Chol_l_unb_var3 (FLA_Obj A) |
FLA_Error FLA_Chol_l_blk_var1 | ( | FLA_Obj | A, | |
fla_chol_t * | cntl | |||
) |
References FLA_Chol_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Herk_internal(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and FLA_Trsm_internal().
Referenced by FLA_Chol_l().
00038 { 00039 FLA_Obj ATL, ATR, A00, A01, A02, 00040 ABL, ABR, A10, A11, A12, 00041 A20, A21, A22; 00042 00043 dim_t b; 00044 00045 int value = 0; 00046 00047 FLA_Part_2x2( A, &ATL, &ATR, 00048 &ABL, &ABR, 0, 0, FLA_TL ); 00049 00050 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ 00051 00052 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00053 00054 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00055 /* ************* */ /* ******************** */ 00056 &A10, /**/ &A11, &A12, 00057 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00058 b, b, FLA_BR ); 00059 00060 /*------------------------------------------------------------*/ 00061 00062 if ( FLA_Obj_is_real( A ) ) 00063 { 00064 /* A10 = A10 * inv( tril( A00 )' ); */ 00065 FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 00066 FLA_TRANSPOSE, FLA_NONUNIT_DIAG, 00067 FLA_ONE, A00, A10, 00068 FLA_Cntl_sub_trsm( cntl ) ); 00069 00070 /* A11 = A11 - A10 * A10'; */ 00071 FLA_Syrk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, 00072 FLA_MINUS_ONE, A10, FLA_ONE, A11, 00073 FLA_Cntl_sub_syrk( cntl ) ); 00074 00075 /* A11 = chol( A11 ); */ 00076 value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11, 00077 FLA_Cntl_sub_chol( cntl ) ); 00078 00079 if ( value != FLA_SUCCESS ) 00080 return ( FLA_Obj_length( A00 ) + value ); 00081 } 00082 else 00083 { 00084 /* A10 = A10 * inv( tril( A00 )' ); */ 00085 FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 00086 FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, 00087 FLA_ONE, A00, A10, 00088 FLA_Cntl_sub_trsm( cntl ) ); 00089 00090 /* A11 = A11 - A10 * A10'; */ 00091 FLA_Herk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, 00092 FLA_MINUS_ONE, A10, FLA_ONE, A11, 00093 FLA_Cntl_sub_herk( cntl ) ); 00094 00095 /* A11 = chol( A11 ); */ 00096 value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11, 00097 FLA_Cntl_sub_chol( cntl ) ); 00098 00099 if ( value != FLA_SUCCESS ) 00100 return ( FLA_Obj_length( A00 ) + value ); 00101 } 00102 00103 /*------------------------------------------------------------*/ 00104 00105 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, 00106 A10, A11, /**/ A12, 00107 /* ************** */ /* ****************** */ 00108 &ABL, /**/ &ABR, A20, A21, /**/ A22, 00109 FLA_TL ); 00110 } 00111 00112 return value; 00113 }
FLA_Error FLA_Chol_l_blk_var2 | ( | FLA_Obj | A, | |
fla_chol_t * | cntl | |||
) |
References FLA_Chol_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Gemm_internal(), FLA_Herk_internal(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and FLA_Trsm_internal().
Referenced by FLA_Chol_l().
00038 { 00039 FLA_Obj ATL, ATR, A00, A01, A02, 00040 ABL, ABR, A10, A11, A12, 00041 A20, A21, A22; 00042 00043 dim_t b; 00044 00045 int value = 0; 00046 00047 FLA_Part_2x2( A, &ATL, &ATR, 00048 &ABL, &ABR, 0, 0, FLA_TL ); 00049 00050 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ 00051 00052 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00053 00054 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00055 /* ************* */ /* ******************** */ 00056 &A10, /**/ &A11, &A12, 00057 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00058 b, b, FLA_BR ); 00059 00060 /*------------------------------------------------------------*/ 00061 00062 if ( FLA_Obj_is_real( A ) ) 00063 { 00064 /* A11 = A11 - A10 * A10'; */ 00065 FLA_Syrk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, 00066 FLA_MINUS_ONE, A10, FLA_ONE, A11, 00067 FLA_Cntl_sub_syrk( cntl ) ); 00068 00069 /* A21 = A21 - A20 * A10'; */ 00070 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_TRANSPOSE, 00071 FLA_MINUS_ONE, A20, A10, FLA_ONE, A21, 00072 FLA_Cntl_sub_gemm( cntl ) ); 00073 00074 /* A11 = chol( A11 ); */ 00075 value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11, 00076 FLA_Cntl_sub_chol( cntl ) ); 00077 00078 if ( value != FLA_SUCCESS ) 00079 return ( FLA_Obj_length( A00 ) + value ); 00080 00081 /* A21 = A21 * inv( tril( A11 )' ); */ 00082 FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 00083 FLA_TRANSPOSE, FLA_NONUNIT_DIAG, 00084 FLA_ONE, A11, A21, 00085 FLA_Cntl_sub_trsm( cntl ) ); 00086 } 00087 else 00088 { 00089 /* A11 = A11 - A10 * A10'; */ 00090 FLA_Herk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, 00091 FLA_MINUS_ONE, A10, FLA_ONE, A11, 00092 FLA_Cntl_sub_herk( cntl ) ); 00093 00094 /* A21 = A21 - A20 * A10'; */ 00095 FLA_Gemm_internal( FLA_NO_TRANSPOSE, FLA_CONJ_TRANSPOSE, 00096 FLA_MINUS_ONE, A20, A10, FLA_ONE, A21, 00097 FLA_Cntl_sub_gemm( cntl ) ); 00098 00099 /* A11 = chol( A11 ); */ 00100 value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11, 00101 FLA_Cntl_sub_chol( cntl ) ); 00102 00103 if ( value != FLA_SUCCESS ) 00104 return ( FLA_Obj_length( A00 ) + value ); 00105 00106 /* A21 = A21 * inv( tril( A11 )' ); */ 00107 FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 00108 FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, 00109 FLA_ONE, A11, A21, 00110 FLA_Cntl_sub_trsm( cntl ) ); 00111 } 00112 00113 /*------------------------------------------------------------*/ 00114 00115 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, 00116 A10, A11, /**/ A12, 00117 /* ************** */ /* ****************** */ 00118 &ABL, /**/ &ABR, A20, A21, /**/ A22, 00119 FLA_TL ); 00120 } 00121 00122 return value; 00123 }
FLA_Error FLA_Chol_l_blk_var3 | ( | FLA_Obj | A, | |
fla_chol_t * | cntl | |||
) |
References FLA_Chol_internal(), FLA_Cont_with_3x3_to_2x2(), FLA_Determine_blocksize(), FLA_Herk_internal(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Syrk_internal(), and FLA_Trsm_internal().
Referenced by FLA_Chol_l().
00036 { 00037 FLA_Obj ATL, ATR, A00, A01, A02, 00038 ABL, ABR, A10, A11, A12, 00039 A20, A21, A22; 00040 00041 dim_t b; 00042 00043 int value = 0; 00044 00045 FLA_Part_2x2( A, &ATL, &ATR, 00046 &ABL, &ABR, 0, 0, FLA_TL ); 00047 00048 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ 00049 00050 b = FLA_Determine_blocksize( ABR, FLA_BR, FLA_Cntl_blocksize( cntl ) ); 00051 00052 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &A01, &A02, 00053 /* ************* */ /* ******************** */ 00054 &A10, /**/ &A11, &A12, 00055 ABL, /**/ ABR, &A20, /**/ &A21, &A22, 00056 b, b, FLA_BR ); 00057 00058 /*------------------------------------------------------------*/ 00059 00060 if ( FLA_Obj_is_real( A ) ) 00061 { 00062 /* A11 = chol( A11 ); */ 00063 value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11, 00064 FLA_Cntl_sub_chol( cntl ) ); 00065 00066 if ( value != FLA_SUCCESS ) 00067 return ( FLA_Obj_length( A00 ) + value ); 00068 00069 /* A21 = A21 * inv( tril( A11 )' ); */ 00070 FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 00071 FLA_TRANSPOSE, FLA_NONUNIT_DIAG, 00072 FLA_ONE, A11, A21, 00073 FLA_Cntl_sub_trsm( cntl ) ); 00074 00075 /* A22 = A22 - A21 * A21'; */ 00076 FLA_Syrk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, 00077 FLA_MINUS_ONE, A21, FLA_ONE, A22, 00078 FLA_Cntl_sub_syrk( cntl ) ); 00079 } 00080 else 00081 { 00082 /* A11 = chol( A11 ); */ 00083 value = FLA_Chol_internal( FLA_LOWER_TRIANGULAR, A11, 00084 FLA_Cntl_sub_chol( cntl ) ); 00085 00086 if ( value != FLA_SUCCESS ) 00087 return ( FLA_Obj_length( A00 ) + value ); 00088 00089 /* A21 = A21 * inv( tril( A11 )' ); */ 00090 FLA_Trsm_internal( FLA_RIGHT, FLA_LOWER_TRIANGULAR, 00091 FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, 00092 FLA_ONE, A11, A21, 00093 FLA_Cntl_sub_trsm( cntl ) ); 00094 00095 /* A22 = A22 - A21 * A21'; */ 00096 FLA_Herk_internal( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, 00097 FLA_MINUS_ONE, A21, FLA_ONE, A22, 00098 FLA_Cntl_sub_herk( cntl ) ); 00099 } 00100 00101 /*------------------------------------------------------------*/ 00102 00103 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, A01, /**/ A02, 00104 A10, A11, /**/ A12, 00105 /* ************** */ /* ****************** */ 00106 &ABL, /**/ &ABR, A20, A21, /**/ A22, 00107 FLA_TL ); 00108 } 00109 00110 return value; 00111 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dotcs_external(), FLA_Dots_external(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Sqrt(), and FLA_Trsv_external().
00038 { 00039 FLA_Obj ATL, ATR, A00, a01, A02, 00040 ABL, ABR, a10t, alpha11, a12t, 00041 A20, a21, A22; 00042 00043 int value = 0; 00044 00045 FLA_Part_2x2( A, &ATL, &ATR, 00046 &ABL, &ABR, 0, 0, FLA_TL ); 00047 00048 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ 00049 00050 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00051 /* ************* */ /* ************************** */ 00052 &a10t, /**/ &alpha11, &a12t, 00053 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00054 1, 1, FLA_BR ); 00055 00056 /*------------------------------------------------------------*/ 00057 00058 if ( FLA_Obj_is_real( A ) ) 00059 { 00060 /* a10t = a10t * inv( tril( A00 )' ); */ 00061 /* a10t' = inv( tril( A00 ) ) * a10t'; */ 00062 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); 00063 00064 /* alpha11 = alpha11 - a10t * a10t'; */ 00065 FLA_Dots_external( FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 ); 00066 00067 /* alpha11 = sqrt( alpha11 ); */ 00068 value = FLA_Sqrt( alpha11 ); 00069 00070 if ( value != FLA_SUCCESS ) 00071 return ( FLA_Obj_length( A00 ) + 1 ); 00072 } 00073 else 00074 { 00075 /* a10t = a10t * inv( tril( A00 )' ); */ 00076 /* a10t' = inv( conj( tril( A00 ) ) ) * a10t'; */ 00077 FLA_Trsv_external( FLA_LOWER_TRIANGULAR, FLA_CONJ_NO_TRANSPOSE, FLA_NONUNIT_DIAG, A00, a10t ); 00078 00079 /* alpha11 = alpha11 - a10t * a10t'; */ 00080 FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 ); 00081 00082 /* alpha11 = sqrt( alpha11 ); */ 00083 value = FLA_Sqrt( alpha11 ); 00084 00085 if ( value != FLA_SUCCESS ) 00086 return ( FLA_Obj_length( A00 ) + 1 ); 00087 } 00088 00089 /*------------------------------------------------------------*/ 00090 00091 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00092 a10t, alpha11, /**/ a12t, 00093 /* ************** */ /* ************************ */ 00094 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00095 FLA_TL ); 00096 } 00097 00098 return value; 00099 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Dotcs_external(), FLA_Dots_external(), FLA_Gemv_external(), FLA_Gemvc_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_ONE, FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), and FLA_Sqrt().
00038 { 00039 FLA_Obj ATL, ATR, A00, a01, A02, 00040 ABL, ABR, a10t, alpha11, a12t, 00041 A20, a21, A22; 00042 00043 int value = 0; 00044 00045 FLA_Part_2x2( A, &ATL, &ATR, 00046 &ABL, &ABR, 0, 0, FLA_TL ); 00047 00048 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ 00049 00050 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00051 /* ************* */ /* ************************** */ 00052 &a10t, /**/ &alpha11, &a12t, 00053 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00054 1, 1, FLA_BR ); 00055 00056 /*------------------------------------------------------------*/ 00057 00058 if ( FLA_Obj_is_real( A ) ) 00059 { 00060 /* alpha11 = alpha11 - a10t * a10t'; */ 00061 FLA_Dots_external( FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 ); 00062 00063 /* a21 = a21 - A20 * a10t'; */ 00064 FLA_Gemv_external( FLA_NO_TRANSPOSE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 ); 00065 00066 /* alpha11 = sqrt( alpha11 ); */ 00067 value = FLA_Sqrt( alpha11 ); 00068 00069 if ( value != FLA_SUCCESS ) 00070 return ( FLA_Obj_length( A00 ) + 1 ); 00071 00072 /* a21 = a21 / alpha11; */ 00073 FLA_Inv_scal_external( alpha11, a21 ); 00074 } 00075 else 00076 { 00077 /* alpha11 = alpha11 - a10t * a10t'; */ 00078 FLA_Dotcs_external( FLA_CONJUGATE, FLA_MINUS_ONE, a10t, a10t, FLA_ONE, alpha11 ); 00079 00080 /* a21 = a21 - A20 * a10t'; */ 00081 FLA_Gemvc_external( FLA_NO_TRANSPOSE, FLA_CONJUGATE, FLA_MINUS_ONE, A20, a10t, FLA_ONE, a21 ); 00082 00083 /* alpha11 = sqrt( alpha11 ); */ 00084 value = FLA_Sqrt( alpha11 ); 00085 00086 if ( value != FLA_SUCCESS ) 00087 return ( FLA_Obj_length( A00 ) + 1 ); 00088 00089 /* a21 = a21 / alpha11; */ 00090 FLA_Inv_scal_external( alpha11, a21 ); 00091 } 00092 00093 /*------------------------------------------------------------*/ 00094 00095 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00096 a10t, alpha11, /**/ a12t, 00097 /* ************** */ /* ************************ */ 00098 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00099 FLA_TL ); 00100 } 00101 00102 return value; 00103 }
References FLA_Cont_with_3x3_to_2x2(), FLA_Her_external(), FLA_Inv_scal_external(), FLA_MINUS_ONE, FLA_Obj_is_real(), FLA_Obj_length(), FLA_Part_2x2(), FLA_Repart_2x2_to_3x3(), FLA_Sqrt(), and FLA_Syr_external().
00038 { 00039 FLA_Obj ATL, ATR, A00, a01, A02, 00040 ABL, ABR, a10t, alpha11, a12t, 00041 A20, a21, A22; 00042 00043 int value = 0; 00044 00045 FLA_Part_2x2( A, &ATL, &ATR, 00046 &ABL, &ABR, 0, 0, FLA_TL ); 00047 00048 while ( FLA_Obj_length( ATL ) < FLA_Obj_length( A ) ){ 00049 00050 FLA_Repart_2x2_to_3x3( ATL, /**/ ATR, &A00, /**/ &a01, &A02, 00051 /* ************* */ /* ************************** */ 00052 &a10t, /**/ &alpha11, &a12t, 00053 ABL, /**/ ABR, &A20, /**/ &a21, &A22, 00054 1, 1, FLA_BR ); 00055 00056 /*------------------------------------------------------------*/ 00057 00058 if ( FLA_Obj_is_real( A ) ) 00059 { 00060 /* alpha11 = sqrt( alpha11 ); */ 00061 value = FLA_Sqrt( alpha11 ); 00062 00063 if ( value != FLA_SUCCESS ) 00064 return ( FLA_Obj_length( A00 ) + 1 ); 00065 00066 /* a21 = a21 / alpha11; */ 00067 FLA_Inv_scal_external( alpha11, a21 ); 00068 00069 /* A22 = A22 - a21 * a21'; */ 00070 FLA_Syr_external( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, A22 ); 00071 } 00072 else 00073 { 00074 /* alpha11 = sqrt( alpha11 ); */ 00075 value = FLA_Sqrt( alpha11 ); 00076 00077 if ( value != FLA_SUCCESS ) 00078 return ( FLA_Obj_length( A00 ) + 1 ); 00079 00080 /* a21 = a21 / alpha11; */ 00081 FLA_Inv_scal_external( alpha11, a21 ); 00082 00083 /* A22 = A22 - a21 * a21'; */ 00084 FLA_Her_external( FLA_LOWER_TRIANGULAR, FLA_MINUS_ONE, a21, A22 ); 00085 } 00086 00087 /*------------------------------------------------------------*/ 00088 00089 FLA_Cont_with_3x3_to_2x2( &ATL, /**/ &ATR, A00, a01, /**/ A02, 00090 a10t, alpha11, /**/ a12t, 00091 /* ************** */ /* ************************ */ 00092 &ABL, /**/ &ABR, A20, a21, /**/ A22, 00093 FLA_TL ); 00094 } 00095 00096 return value; 00097 }