function varargout = GeomDiffrence(varargin)
% GEOMDIFFRENCE M-file for GeomDiffrence.fig
%      GEOMDIFFRENCE, by itself, creates a new GEOMDIFFRENCE or raises the existing
%      singleton*.
%
%      H = GEOMDIFFRENCE returns the handle to a new GEOMDIFFRENCE or the handle to
%      the existing singleton*.
%
%      GEOMDIFFRENCE('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in GEOMDIFFRENCE.M with the given input arguments.
%
%      GEOMDIFFRENCE('Property','Value',...) creates a new GEOMDIFFRENCE or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before GeomDiffrence_OpeningFcn gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to GeomDiffrence_OpeningFcn via varargin.
%
%      *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%      instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES

% Edit the above text to modify the response to help GeomDiffrence

% Last Modified by GUIDE v2.5 17-Apr-2009 10:56:10

% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...
                   'gui_Singleton',  gui_Singleton, ...
                   'gui_OpeningFcn', @GeomDiffrence_OpeningFcn, ...
                   'gui_OutputFcn',  @GeomDiffrence_OutputFcn, ...
                   'gui_LayoutFcn',  [] , ...
                   'gui_Callback',   []);
if nargin && ischar(varargin{1})
    gui_State.gui_Callback = str2func(varargin{1});
end

if nargout
    [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
else
    gui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT


% --- Executes just before GeomDiffrence is made visible.
function GeomDiffrence_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
% varargin   command line arguments to GeomDiffrence (see VARARGIN)

% Choose default command line output for GeomDiffrence
handles.output = hObject;

% Update handles structure
guidata(hObject, handles);

% UIWAIT makes GeomDiffrence wait for user response (see UIRESUME)
% uiwait(handles.figure1);


% --- Outputs from this function are returned to the command line.
function varargout = GeomDiffrence_OutputFcn(hObject, eventdata, handles) 
% varargout  cell array for returning output args (see VARARGOUT);
% hObject    handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Get default command line output from handles structure
varargout{1} = handles.output;



function edit1_Callback(hObject, eventdata, handles)
% hObject    handle to edit1 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Hints: get(hObject,'String') returns contents of edit1 as text
%        str2double(get(hObject,'String')) returns contents of edit1 as a double


% --- Executes during object creation, after setting all properties.
function edit1_CreateFcn(hObject, eventdata, handles)
% hObject    handle to edit1 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% Hint: edit controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end



function edit2_Callback(hObject, eventdata, handles)
% hObject    handle to edit2 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Hints: get(hObject,'String') returns contents of edit2 as text
%        str2double(get(hObject,'String')) returns contents of edit2 as a double


% --- Executes during object creation, after setting all properties.
function edit2_CreateFcn(hObject, eventdata, handles)
% hObject    handle to edit2 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% Hint: edit controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end

function smoothSupFunc(sf,X,Y,Z)
m = size(X,1);
dc=[0,0,0];
c=0;
cw=0;
for i=1:m
    for j=1:m
    c(i,j)=sf(X(i,j),Y(i,j),Z(i,j));
    dc=dc+c(i,j)*[X(i,j),Y(i,j),Z(i,j)];
    end
end
dc=dc*3/m;
for i=1:m
    for j=1:m
    cw(i,j)=c(i,j)-dot(dc,[X(i,j),Y(i,j),Z(i,j)]);
    end
end
lambda = 0;
%Psi1(m,m)=0;
for i=1:m
    for j=1:m
        minpr = -inf;
        mink = [0,0];
        for k=1:m
            for l=1:m                
                dotpr = dot([X(i,j),Y(i,j),Z(i,j)],[X(k,l),Y(k,l),Z(k,l)]);
                if dotpr<minpr
                    minpr = dotpr;
 %                   mink=[k,l];
                end
            end
        end
%        Psi1(mink(1),mink(2)) = 1
    end
end


% --- Executes on button press in pushbutton1.
function pushbutton1_Callback(hObject, eventdata, handles)
% hObject    handle to pushbutton1 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)
h = waitbar(0,'Please wait...');
cAstr = get(handles.edit1,'String');
cBstr = get(handles.edit2,'String');
gridSize = str2num(get(handles.edit3,'String'));
[X,Y,Z]=Sphere(gridSize);
cA = inline(cAstr);
cB = inline(cBstr);
sf = inline(strcat(cAstr,'-',cBstr));
waitbar(2/10);
smoothSupFunc(cA,X,Y,Z)
waitbar(5/10);
m = size(X,1);
dc=[0,0,0];
c=0;
cw=0;
for i=1:m
    for j=1:m
    c(i,j)=cA(X(i,j),Y(i,j),Z(i,j));
    dc=dc+c(i,j)*[X(i,j),Y(i,j),Z(i,j)];
    end
end
dc=dc*3/(m^2);
waitbar(6/10);
for i=1:m
    for j=1:m
    cw(i,j)=c(i,j)-dot(dc,[X(i,j),Y(i,j),Z(i,j)]);
    end
end
lambda = 0;
%Psi1(m,m)=0;
waitbar(7/10);
for i=1:m
    for j=1:m
        minpr = inf;
        mink = [0,0];
        for k=1:m
            for l=1:m                
                dotpr = dot([X(i,j),Y(i,j),Z(i,j)],[X(k,l),Y(k,l),Z(k,l)]);
                if dotpr>0.001
                    if cw(k,l)/dotpr<minpr
                        minpr = cw(k,l)/dotpr;
 %                       mink=[k,l];
                    end
                end
            end
        end
        lambda(i,j) = minpr;
%        Psi1(mink(1),mink(2)) = 1
    end
end
dc
waitbar(9/10);
for i = 1:gridSize+1
    for j = 1:gridSize+1
        v = dc+lambda(i,j)*[X(i,j),Y(i,j),Z(i,j)];
        x(i,j)=v(1);
        y(i,j)=v(2);
        z(i,j)=v(3);
    end
end
waitbar(1);
close(h);
x;
y;
z;
s=surf(x,y,z);
set(s,'facecolor','b','facealpha',0.2,'edgealpha',0.2);
axis equal
%hold on
rotate3d on



function edit3_Callback(hObject, eventdata, handles)
% hObject    handle to edit3 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)

% Hints: get(hObject,'String') returns contents of edit3 as text
%        str2double(get(hObject,'String')) returns contents of edit3 as a double


% --- Executes during object creation, after setting all properties.
function edit3_CreateFcn(hObject, eventdata, handles)
% hObject    handle to edit3 (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    empty - handles not created until after all CreateFcns called

% Hint: edit controls usually have a white background on Windows.
%       See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
    set(hObject,'BackgroundColor','white');
end