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-%%
-%% %CopyrightBegin%
-%%
-%% Copyright Ericsson AB 1997-2016. 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%
-%%
-
-%%
-%% ------------------------------------------------------------
-%% Erlang Graphics Interface geometry manager caclulator
-%% ------------------------------------------------------------
-
-
--module(gs_packer).
-
--export([pack/2]).
-%-compile(export_all).
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%%%
-%%%% This is a simple packer that take a specification in the format
-%%%%
-%%%% Spec -> [WidthSpec, WidthSpec....]
-%%%% WidthSpec -> {fixed,Size} | {stretch,Weight} |
-%%%% {stretch,Weight,Min} | {stretch,Weight,Min,Max}
-%%%%
-%%%% and a given total size it produces a list of sizes of the
-%%%% individual elements. Simple heuristics are used to make the code
-%%%% fast and simple.
-%%%%
-%%%% The Weight is simply a number that is the relative size to the
-%%%% other elements that has weights. If for example the weights
-%%%% for a frame that has three columns are 40 20 100 it means that
-%%%% column 1 has 40/160'th of the space, column 2 20/160'th of
-%%%% the space and column 3 100/160'th of the space.
-%%%%
-%%%% The program try to solve the equation with the constraints given.
-%%%% We have tree cases
-%%%%
-%%%% o We can fullfil the request in the space given
-%%%% o We have less space than needed
-%%%% o We have more space than allowed
-%%%%
-%%%% The algorithm is as follows:
-%%%%
-%%%% 1. Subtract the fixed size, nothing to do about that.
-%%%%
-%%%% 2. Calculate the Unit (or whatever it should be called), the
-%%%% given space minus the fixed sise divided by the Weights.
-%%%%
-%%%% 3. If we in total can fullfill the request we try to
-%%%% fullfill the individual constraints. See remove_failure/2.
-%%%%
-%%%% 4. If we have too little or too much pixels we take our
-%%%% specification and create a new more relaxed one. See
-%%%% cnvt_to_min/1 and cnvt_to_max/1.
-%%%%
-%%%% In general we adjust the specification and redo the whole process
-%%%% until we have a specification that meet the total constraints
-%%%% and individual constraints. When we know that the constraints
-%%%% are satisfied we finally call distribute_space/2 to set the
-%%%% resulting size values for the individual elements.
-%%%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
-pack(Size, SpecSizes) when Size < 0 ->
- pack(0, SpecSizes);
-pack(Size, SpecSizes) ->
- {Weights,_Stretched,Fixed,Min,Max} = get_size_info(SpecSizes),
- Left = Size - Fixed,
- Unit = if Weights == 0 -> 0; true -> Left / Weights end,
- if
- Left < Min ->
- NewSpecs = cnvt_to_min(SpecSizes),
- pack(Size,NewSpecs);
- is_integer(Max), Max =/= 0, Left > Max ->
- NewSpecs = cnvt_to_max(SpecSizes),
- pack(Size,NewSpecs);
- true ->
- case remove_failure(SpecSizes, Unit) of
- {no,NewSpecs} ->
- distribute_space(NewSpecs,Unit);
- {yes,NewSpecs} ->
- pack(Size, NewSpecs)
- end
- end.
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%%%
-%%%% remove_failure(Specs, Unit)
-%%%%
-%%%% We know that we in total have enough space to fit within the total
-%%%% maximum and minimum requirements. But we have to take care of
-%%%% individual minimum and maximum requirements.
-%%%%
-%%%% This is done with a simple heuristic. We pick the element that
-%%%% has the largest diff from the required min or max, change this
-%%%% {stretch,W,Mi,Ma} to a {fixed,Mi} or {fixed,Ma} and redo the
-%%%% whole process again.
-%%%%
-%%%% **** BUGS ****
-%%%% No known. But try to understand this function and you get a medal ;-)
-%%%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
-remove_failure(Specs, Unit) ->
- case remove_failure(Specs, Unit, 0) of
- {done,NewSpecs} ->
- {yes,NewSpecs};
- {_,_NewSpecs} ->
- {no,Specs} % NewSpecs == Specs but
- end. % we choose the old one
-
-remove_failure([], _Unit, MaxFailure) ->
- {MaxFailure,[]};
-remove_failure([{stretch,W,Mi} | Specs], Unit, MaxFailure) ->
- {MinMax,NewMaxFailure} = max_failure(MaxFailure, Mi-W*Unit, 0),
- case {MinMax,remove_failure(Specs, Unit, NewMaxFailure)} of
- {min,{NewMaxFailure,Rest}} ->
- {done,[{fixed,Mi} | Rest]};
- {_,{OtherMaxFailure, Rest}} ->
- {OtherMaxFailure,[{stretch,W,Mi} | Rest]}
- end;
-remove_failure([{stretch,W,Mi,Ma} | Specs], Unit, MaxFailure) ->
- {MinMax,NewMaxFailure} = max_failure(MaxFailure, Mi-W*Unit, W*Unit-Ma),
- case {MinMax,remove_failure(Specs, Unit, NewMaxFailure)} of
- {min,{NewMaxFailure,Rest}} ->
- {done,[{fixed,Mi} | Rest]};
- {max,{NewMaxFailure,Rest}} ->
- {done,[{fixed,Ma} | Rest]};
- {_,{OtherMaxFailure, Rest}} ->
- {OtherMaxFailure,[{stretch,W,Mi,Ma} | Rest]}
- end;
-remove_failure([Spec | Specs], Unit, MaxFailure) ->
- {NewMaxFailure,NewSpecs} = remove_failure(Specs, Unit, MaxFailure),
- {NewMaxFailure, [Spec | NewSpecs]}.
-
-max_failure(LastDiff, DMi, DMa)
- when DMi > LastDiff, DMi > DMa ->
- {min,DMi};
-max_failure(LastDiff, _DMi, DMa)
- when DMa > LastDiff ->
- {max,DMa};
-max_failure(MaxFailure, _DMi, _DMa) ->
- {other,MaxFailure}.
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%%%
-%%%% distribute_space(Spec,Unit)
-%%%%
-%%%% We now know that we can distribute the space to the elements in
-%%%% the list.
-%%%%
-%%%% **** BUGS ****
-%%%% No known bugs. It try hard to distribute the pixels so that
-%%%% there should eb no pixels left when done but there is no proof
-%%%% that this is the case. The distribution of pixels may also
-%%%% not be optimal. The rounding error from giving one element some
-%%%% pixels is added to the next even if it would be better to add
-%%%% it to an element later in the list (for example the weights
-%%%% 1000, 2, 1000). But this should be good enough.
-%%%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
-distribute_space(Specs, Unit) ->
- distribute_space(Specs, Unit, 0.0).
-
-distribute_space([], _Unit, _Err) ->
- [];
-distribute_space([Spec | Specs], Unit, Err) ->
- distribute_space(Spec, Specs, Unit, Err).
-
-distribute_space({fixed,P}, Specs, Unit, Err) ->
- [P | distribute_space(Specs, Unit, Err)];
-distribute_space({stretch,Weight}, Specs, Unit, Err) ->
- Size = Weight * Unit + Err,
- Pixels = round(Size),
- NewErr = Size - Pixels,
- [Pixels | distribute_space(Specs, Unit, NewErr)];
-distribute_space({stretch,W,_Mi}, Specs, Unit, Err) ->
- distribute_space({stretch,W}, Specs, Unit, Err);
-distribute_space({stretch,W,_Mi,_Ma}, Specs, Unit, Err) ->
- distribute_space({stretch,W}, Specs, Unit, Err).
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%%%
-%%%% cnvt_to_min(Spec)
-%%%% cnvt_to_max(Spec)
-%%%%
-%%%% If the space we got isn't enough for the total minimal or maximal
-%%%% requirements then we convert the specification to a more relaxed
-%%%% one that we always can satisfy.
-%%%%
-%%%% This is fun! We do a simple transformation from one specification
-%%%% to a new one. The min, max and fixed size are our new weights!
-%%%% This way the step from a specification we can satisfy and one
-%%%% close that we can't is only a few pixels away, i.e. the transition
-%%%% from within the constraints and outside will be smooth.
-%%%%
-%%%% **** BUGS ****
-%%%% No known bugs.
-%%%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-
-cnvt_to_min([]) ->
- [];
-cnvt_to_min([Spec | Specs]) ->
- cnvt_to_min(Spec, Specs).
-
-cnvt_to_max([]) ->
- [];
-cnvt_to_max([Spec | Specs]) ->
- cnvt_to_max(Spec, Specs).
-
-cnvt_to_min({fixed,P}, Specs) ->
- [{stretch,P} | cnvt_to_min(Specs)];
-cnvt_to_min({stretch,_W}, Specs) ->
- [{fixed,0} | cnvt_to_min(Specs)];
-cnvt_to_min({stretch,_W,Mi}, Specs) ->
- [{stretch,Mi} | cnvt_to_min(Specs)];
-cnvt_to_min({stretch,_W,Mi,_Ma}, Specs) ->
- [{stretch,Mi} | cnvt_to_min(Specs)].
-
-%% We know that there can only be {fixed,P} and {stretch,W,Mi,Ma}
-%% in this list.
-
-cnvt_to_max({fixed,P}, Specs) ->
- [{stretch,P} | cnvt_to_max(Specs)];
-cnvt_to_max({stretch,_W,_Mi,Ma}, Specs) ->
- [{stretch,Ma} | cnvt_to_max(Specs)].
-
-
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%%%
-%%%% Sum the Weights, Min and Max etc
-%%%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-
-get_size_info(Specs) ->
- get_size_info(Specs, 0, 0, 0, 0, 0).
-
-get_size_info([], TotW, NumW, TotFixed, TotMin, TotMax) ->
- {TotW, NumW, TotFixed, TotMin, TotMax};
-get_size_info([Spec | Specs], TotW, NumW, TotFixed, TotMin, TotMax) ->
- get_size_info(Spec, TotW, NumW, TotFixed, TotMin, TotMax, Specs).
-
-get_size_info({fixed,P}, TotW, NumW, TotFixed, TotMin, TotMax, Specs) ->
- get_size_info(Specs, TotW, NumW, TotFixed+P, TotMin, TotMax);
-get_size_info({stretch,W}, TotW, NumW, TotFixed, TotMin, _TotMax, Specs) ->
- get_size_info(Specs, TotW+W, NumW+1, TotFixed, TotMin, infinity);
-get_size_info({stretch,W,Mi}, TotW, NumW, TotFixed, TotMin, _TotMax, Specs) ->
- get_size_info(Specs, TotW+W, NumW+1, TotFixed, TotMin+Mi, infinity);
-get_size_info({stretch,W,Mi,_Ma}, TotW, NumW, TotFixed, TotMin, infinity, Specs) ->
- get_size_info(Specs, TotW+W, NumW+1, TotFixed, TotMin+Mi, infinity);
-get_size_info({stretch,W,Mi,Ma}, TotW, NumW, TotFixed, TotMin, TotMax, Specs) ->
- get_size_info(Specs, TotW+W, NumW+1, TotFixed, TotMin+Mi, TotMax+Ma).