%%
%% %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).
