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-%%--------------------------------------------------------------------
-%%
-%% %CopyrightBegin%
-%%
-%% Copyright Ericsson AB 2002-2016. All Rights Reserved.
-%%
-%% Licensed under the Apache License, Version 2.0 (the "License");
-%% you may not use this file except in compliance with the License.
-%% You may obtain a copy of the License at
-%%
-%% http://www.apache.org/licenses/LICENSE-2.0
-%%
-%% Unless required by applicable law or agreed to in writing, software
-%% distributed under the License is distributed on an "AS IS" BASIS,
-%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-%% See the License for the specific language governing permissions and
-%% limitations under the License.
-%%
-%% %CopyrightEnd%
-%%
-%%
-%%--------------------------------------------------------------------
-%% File : fixed.erl
-%% Purpose :
-%%--------------------------------------------------------------------
-
--module(fixed).
-
--include_lib("orber/include/corba.hrl").
-
-%%-----------------------------------------------------------------
-%% External exports
-%%-----------------------------------------------------------------
--export([create/3, add/2, subtract/2, divide/2, multiply/2, unary_minus/1,
- get_typecode/1]).
-
-%%-----------------------------------------------------------------
-%% Internal exports
-%%-----------------------------------------------------------------
--export([]).
-
-%%-----------------------------------------------------------------
-%% Definitions
-%%-----------------------------------------------------------------
--define(get_max(__X, __Y), if __X > __Y -> __X; true -> __Y end).
--define(get_min(__X, __Y), if __X > __Y -> __Y; true -> __X end).
-
--define(BASE, 100000000000000000000000000000000).
--define(FIXED_MAX, 9999999999999999999999999999999).
--define(FIXED_MIN, -9999999999999999999999999999999).
-
--define(DEBUG_LEVEL, 5).
-
-%%-----------------------------------------------------------------
-%% External functions
-%%-----------------------------------------------------------------
-create(Digits, Scale, Value) when is_integer(Digits) andalso Digits >= 0 andalso Digits < 32 andalso
- is_integer(Scale) andalso Scale >= 0 andalso Digits >= Scale andalso
- is_integer(Value) andalso Value =< ?FIXED_MAX andalso
- Value >= ?FIXED_MIN ->
- case count_digits(abs(Value)) of
- Dig when Dig =< Digits ->
- #fixed{digits = Digits, scale = Scale, value = Value};
- Overflow ->
- orber:dbg("[~p] fixed:create(~p, ~p, ~p).~n"
- "The Value exceeds the Digits limit: ~p, ~p",
- [?LINE, Digits, Scale, Value, Digits, Overflow], ?DEBUG_LEVEL),
- corba:raise(#'BAD_PARAM'{completion_status=?COMPLETED_NO})
- end;
-create(Digits, Scale, Value) ->
- orber:dbg("[~p] fixed:add(~p, ~p, ~p).~n"
- "At least one of the supplied arguments is incorrect.~n"
- "Digits and Scale must be a positive integer with the following~n"
- "limits:~n"
- " * 0 =< Digits < 32~n"
- " * Digits >= Scale~n"
- " * Value range +/- 9999999999999999999999999999999",
- [?LINE, Digits, Scale, Value], ?DEBUG_LEVEL),
- corba:raise(#'BAD_PARAM'{completion_status=?COMPLETED_NO}).
-
-
-get_typecode(#fixed{digits = Digits, scale = Scale}) ->
- {tk_fixed, Digits, Scale};
-get_typecode(Other) ->
- orber:dbg("[~p] fixed:get_typecode(~p).
-The supplied argument is not a Fixed Type.", [?LINE, Other], ?DEBUG_LEVEL),
- corba:raise(#'BAD_PARAM'{completion_status=?COMPLETED_NO}).
-
-add(#fixed{digits = D1, scale = S1, value = V1},
- #fixed{digits = D2, scale = S2, value = V2}) ->
- Scale = ?get_max(S1, S2),
- Digits = ?get_max((D1-S1), (D2-S2)) + Scale +1,
- %% We must normalize the values before adding. Why?
- %% 4.23 and 5.2 are represented as 423 and 52. To be able to get the
- %% correct result we must add 4230 and 5200 == 9430.
- {PV1, PV2} = normalize(S1, V1, S2, V2),
- check_fixed_overflow(#fixed{digits = Digits,
- scale = Scale,
- value = (PV1 + PV2)});
-add(F1, F2) ->
- orber:dbg("[~p] fixed:add(~p, ~p).~n"
- "At least one of the supplied arguments is not a Fixed Type.",
- [?LINE, F1, F2], ?DEBUG_LEVEL),
- corba:raise(#'BAD_PARAM'{completion_status=?COMPLETED_NO}).
-
-
-subtract(#fixed{digits = D1, scale = S1, value = V1},
- #fixed{digits = D2, scale = S2, value = V2}) ->
- Scale = ?get_max(S1, S2),
- Digits = ?get_max((D1-S1), (D2-S2)) + Scale +1,
- {PV1, PV2} = normalize(S1, V1, S2, V2),
- check_fixed_overflow(#fixed{digits = Digits,
- scale = Scale,
- value = (PV1 - PV2)});
-subtract(F1, F2) ->
- orber:dbg("[~p] fixed:subtract(~p, ~p).~n"
- "At least one of the supplied arguments is not a Fixed Type.",
- [?LINE, F1, F2], ?DEBUG_LEVEL),
- corba:raise(#'BAD_PARAM'{completion_status=?COMPLETED_NO}).
-
-divide(#fixed{digits = D1, scale = S1, value = V1},
- #fixed{digits = _D2, scale = S2, value = V2}) ->
- {PV1, PV2} = normalize(S1, V1, S2, V2),
- DigitsMin = (D1-S1+S2),
- R1 = (PV1 div PV2),
- R2 = (R1*?BASE + (PV1 rem PV2) * (?BASE div PV2)),
- {Result2, Sinf} = delete_zeros_value(R2, 0, R1),
- check_fixed_overflow(#fixed{digits = DigitsMin + Sinf, scale = Sinf,
- value = Result2});
-divide(F1, F2) ->
- orber:dbg("[~p] fixed:divide(~p, ~p).~n"
- "At least one of the supplied arguments is not a Fixed Type.",
- [?LINE, F1, F2], ?DEBUG_LEVEL),
- corba:raise(#'BAD_PARAM'{completion_status=?COMPLETED_NO}).
-
-
-multiply(#fixed{digits = D1, scale = S1, value = V1},
- #fixed{digits = D2, scale = S2, value = V2}) ->
- check_fixed_overflow(#fixed{digits = (D1+D2),
- scale = (S1+S2),
- value = V1*V2});
-multiply(F1, F2) ->
- orber:dbg("[~p] fixed:multiply(~p, ~p).~n"
- "At least one of the supplied arguments is not a Fixed Type.",
- [?LINE, F1, F2], ?DEBUG_LEVEL),
- corba:raise(#'BAD_PARAM'{completion_status=?COMPLETED_NO}).
-
-unary_minus(Fixed) when is_record(Fixed, fixed) ->
- Fixed#fixed{value = -(Fixed#fixed.value)};
-unary_minus(Fixed) ->
- orber:dbg("[~p] fixed:unary_minus(~p).~n"
- "The supplied argument is not a Fixed Type.",
- [?LINE, Fixed], ?DEBUG_LEVEL),
- corba:raise(#'BAD_PARAM'{completion_status=?COMPLETED_NO}).
-
-
-
-%%-----------------------------------------------------------------
-%% Internal functions
-%%-----------------------------------------------------------------
-%% Pretty?! No, but since we now the upper-limit this is the fastest way
-%% to calculate 10^x
-power(0) -> 1;
-power(1) -> 10;
-power(2) -> 100;
-power(3) -> 1000;
-power(4) -> 10000;
-power(5) -> 100000;
-power(6) -> 1000000;
-power(7) -> 10000000;
-power(8) -> 100000000;
-power(9) -> 1000000000;
-power(10) -> 10000000000;
-power(11) -> 100000000000;
-power(12) -> 1000000000000;
-power(13) -> 10000000000000;
-power(14) -> 100000000000000;
-power(15) -> 1000000000000000;
-power(16) -> 10000000000000000;
-power(17) -> 100000000000000000;
-power(18) -> 1000000000000000000;
-power(19) -> 10000000000000000000;
-power(20) -> 100000000000000000000;
-power(21) -> 1000000000000000000000;
-power(22) -> 10000000000000000000000;
-power(23) -> 100000000000000000000000;
-power(24) -> 1000000000000000000000000;
-power(25) -> 10000000000000000000000000;
-power(26) -> 100000000000000000000000000;
-power(27) -> 1000000000000000000000000000;
-power(28) -> 10000000000000000000000000000;
-power(29) -> 100000000000000000000000000000;
-power(30) -> 1000000000000000000000000000000;
-power(31) -> 10000000000000000000000000000000;
-power(_) -> 10000000000000000000000000000000.
-
-
-
-%% If the result of an operation (+, -, * or /) causes overflow we use this
-%% operation. However, since these calculations are performed during compiletime,
-%% shouldn't the IDL-specification be changed to not cause overflow?! But, since
-%% the OMG standard allows this we must support it.
-check_fixed_overflow(#fixed{digits = Digits, scale = Scale, value = Value}) ->
- case count_digits(abs(Value)) of
- overflow ->
- {N, NewVal} = cut_overflow(0, Value),
- if
- N > Scale ->
- #fixed{digits = 31, scale = 0, value = NewVal};
- true ->
- NewScale = Scale - N,
- {NewVal2, Removed} = delete_zeros(NewVal, NewScale),
- #fixed{digits = 31, scale = NewScale-Removed, value = NewVal2}
- end;
- Count when Count > Digits ->
- Diff = Count-Digits,
- if
- Diff > Scale ->
- #fixed{digits = Digits, scale = 0,
- value = (Value div power(Diff))};
- true ->
- NewScale = Scale-Diff,
- {NewVal, Removed} = delete_zeros((Value div power(Diff)), NewScale),
- #fixed{digits = Digits-Removed,
- scale = NewScale-Removed,
- value = NewVal}
- end;
- Count ->
- {NewVal, Removed} = delete_zeros(Value, Scale),
- #fixed{digits = Count-Removed, scale = Scale-Removed, value = NewVal}
- end.
-
-%% This function see to that the values are of the same baase.
-normalize(S, V1, S, V2) ->
- {V1, V2};
-normalize(S1, V1, S2, V2) when S1 > S2 ->
- {V1, V2*power(S1-S2)};
-normalize(S1, V1, S2, V2) ->
- {V1*power(S2-S1), V2}.
-
-%% If we have access to the integer part of the fixed type we use this
-%% operation to remove all trailing zeros. If we know the scale, length of
-%% fraction part, we can use delete_zeros as well. But, after a division
-%% it's hard to know the scale and we don't need to calcluate the integer part.
-delete_zeros_value(0, N, _) ->
- {0, 32-N};
-delete_zeros_value(X, N, M) when X > M, (X rem 10) == 0 ->
- delete_zeros_value((X div 10), N+1, M);
-delete_zeros_value(X, N, _) ->
- {X, 32-N}.
-
-%% If we know the exact scale of a fixed type we can use this operation to
-%% remove all trailing zeros.
-delete_zeros(0, _) ->
- {0,0};
-delete_zeros(X, Max) ->
- delete_zeros(X, 0, Max).
-delete_zeros(X, Max, Max) ->
- {X, Max};
-delete_zeros(X, N, Max) when (X rem 10) == 0 ->
- delete_zeros((X div 10), N+1, Max);
-delete_zeros(X, N, _) ->
- {X, N}.
-
-cut_overflow(N, X) when X > ?FIXED_MAX ->
- cut_overflow(N+1, (X div 10));
-cut_overflow(N, X) ->
- {N, X}.
-
-%% A fast way to check the size of a fixed data type.
-count_digits(X) when X > ?FIXED_MAX -> overflow;
-count_digits(X) when X >= 1000000000000000000000000000000 -> 31;
-count_digits(X) when X >= 100000000000000000000000000000 -> 30;
-count_digits(X) when X >= 10000000000000000000000000000 -> 29;
-count_digits(X) when X >= 1000000000000000000000000000 -> 28;
-count_digits(X) when X >= 100000000000000000000000000 -> 27;
-count_digits(X) when X >= 10000000000000000000000000 -> 26;
-count_digits(X) when X >= 1000000000000000000000000 -> 25;
-count_digits(X) when X >= 100000000000000000000000 -> 24;
-count_digits(X) when X >= 10000000000000000000000 -> 23;
-count_digits(X) when X >= 1000000000000000000000 -> 22;
-count_digits(X) when X >= 100000000000000000000 -> 21;
-count_digits(X) when X >= 10000000000000000000 -> 20;
-count_digits(X) when X >= 1000000000000000000 -> 19;
-count_digits(X) when X >= 100000000000000000 -> 18;
-count_digits(X) when X >= 10000000000000000 -> 17;
-count_digits(X) when X >= 1000000000000000 -> 16;
-count_digits(X) when X >= 100000000000000 -> 15;
-count_digits(X) when X >= 10000000000000 -> 14;
-count_digits(X) when X >= 1000000000000 -> 13;
-count_digits(X) when X >= 100000000000 -> 12;
-count_digits(X) when X >= 10000000000 -> 11;
-count_digits(X) when X >= 1000000000 -> 10;
-count_digits(X) when X >= 100000000 -> 9;
-count_digits(X) when X >= 10000000 -> 8;
-count_digits(X) when X >= 1000000 -> 7;
-count_digits(X) when X >= 100000 -> 6;
-count_digits(X) when X >= 10000 -> 5;
-count_digits(X) when X >= 1000 -> 4;
-count_digits(X) when X >= 100 -> 3;
-count_digits(X) when X >= 10 -> 2;
-count_digits(_X) -> 1.
-
-%%-----------------------------------------------------------------
-%%------------- END OF MODULE -------------------------------------
-%%-----------------------------------------------------------------