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v1.m
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v1.m
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function varargout = v1(varargin)
% V1 MATLAB code for v1.fig
% V1, by itself, creates a new V1 or raises the existing
% singleton*.
%
% H = V1 returns the handle to a new V1 or the handle to
% the existing singleton*.
%
% V1('CALLBACK',hObject,eventData,handles,...) calls the local
% function named CALLBACK in V1.M with the given input arguments.
%
% V1('Property','Value',...) creates a new V1 or raises the
% existing singleton*. Starting from the left, property value pairs are
% applied to the GUI before v1_OpeningFcn gets called. An
% unrecognized property name or invalid value makes property application
% stop. All inputs are passed to v1_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 v1
% Last Modified by GUIDE v2.5 16-Dec-2022 03:18:39
% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name', mfilename, ...
'gui_Singleton', gui_Singleton, ...
'gui_OpeningFcn', @v1_OpeningFcn, ...
'gui_OutputFcn', @v1_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 v1 is made visible.
function v1_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 v1 (see VARARGIN)
% Choose default command line output for v1
handles.output = hObject;
% Update handles structure
guidata(hObject, handles);
% UIWAIT makes v1 wait for user response (see UIRESUME)
% uiwait(handles.figure1);
% --- Outputs from this function are returned to the command line.
function varargout = v1_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 equationEdit_Callback(hObject, eventdata, handles)
% hObject handle to equationEdit (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 equationEdit as text
% str2double(get(hObject,'String')) returns contents of equationEdit as a double
% --- Executes during object creation, after setting all properties.
function equationEdit_CreateFcn(hObject, eventdata, handles)
% hObject handle to equationEdit (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
% --- Executes on button press in sinButton.
function sinButton_Callback(hObject, eventdata, handles)
% hObject handle to sinButton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
if(isempty(get(handles.equationEdit,'String')))
set(handles.equationEdit, 'String', 'sin(x)');
else
set(handles.equationEdit, 'String', strcat(get(handles.equationEdit,'String'), 'sin(x)'));
end
% --- Executes on button press in tanButton.
function tanButton_Callback(hObject, eventdata, handles)
% hObject handle to tanButton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
if(isempty(get(handles.equationEdit,'String')))
set(handles.equationEdit, 'String', 'tan(x)');
else
set(handles.equationEdit, 'String', strcat(get(handles.equationEdit,'String'), 'tan(x)'));
end
% --- Executes on button press in cosButton.
function cosButton_Callback(hObject, eventdata, handles)
% hObject handle to cosButton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
if(isempty(get(handles.equationEdit,'String')))
set(handles.equationEdit, 'String', 'cos(x)');
else
set(handles.equationEdit, 'String', strcat(get(handles.equationEdit,'String'), 'cos(x)'));
end
% --- Executes on button press in sqrtButton.
function sqrtButton_Callback(hObject, eventdata, handles)
% hObject handle to sqrtButton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
if(isempty(get(handles.equationEdit,'String')))
set(handles.equationEdit, 'String', 'sqrt(x)');
else
set(handles.equationEdit, 'String', strcat(get(handles.equationEdit,'String'), 'sqrt(x)'));
end
% --- Executes on button press in expButton.
function expButton_Callback(hObject, eventdata, handles)
% hObject handle to expButton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
if(isempty(get(handles.equationEdit,'String')))
set(handles.equationEdit, 'String', 'exp(x)');
else
set(handles.equationEdit, 'String', strcat(get(handles.equationEdit,'String'), 'exp(x)'));
end
% --- Executes on button press in powButton.
function powButton_Callback(hObject, eventdata, handles)
% hObject handle to powButton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
if(isempty(get(handles.equationEdit,'String')))
set(handles.equationEdit, 'String', '(x)^()');
else
set(handles.equationEdit, 'String', strcat(get(handles.equationEdit,'String'), '(x)^()'));
end
% --- Executes on selection change in popupmenu1.
function popupmenu1_Callback(hObject, eventdata, handles)
% hObject handle to popupmenu1 (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hints: contents = cellstr(get(hObject,'String')) returns popupmenu1 contents as cell array
% contents{get(hObject,'Value')} returns selected item from popupmenu1
% --- Executes during object creation, after setting all properties.
function popupmenu1_CreateFcn(hObject, eventdata, handles)
% hObject handle to popupmenu1 (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles empty - handles not created until after all CreateFcns called
% Hint: popupmenu 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 xa_Callback(hObject, eventdata, handles)
% hObject handle to xa (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 xa as text
% str2double(get(hObject,'String')) returns contents of xa as a double
% --- Executes during object creation, after setting all properties.
function xa_CreateFcn(hObject, eventdata, handles)
% hObject handle to xa (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 xb_Callback(hObject, eventdata, handles)
% hObject handle to xb (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 xb as text
% str2double(get(hObject,'String')) returns contents of xb as a double
% --- Executes during object creation, after setting all properties.
function xb_CreateFcn(hObject, eventdata, handles)
% hObject handle to xb (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
% --- Executes on button press in readButton.
function readButton_Callback(hObject, eventdata, handles)
[filename pathname] = uigetfile({'*.txt'},'File Selector');
if(filename==0)
set(handles.equationEdit, 'String','');
else
set(handles.equationEdit, 'String',fileread(strcat(pathname,filename)));
end
% hObject handle to readButton (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
function maxIter_Callback(hObject, eventdata, handles)
% hObject handle to maxIter (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 maxIter as text
% str2double(get(hObject,'String')) returns contents of maxIter as a double
% --- Executes during object creation, after setting all properties.
function maxIter_CreateFcn(hObject, eventdata, handles)
% hObject handle to maxIter (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 precInput_Callback(hObject, eventdata, handles)
% hObject handle to precInput (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 precInput as text
% str2double(get(hObject,'String')) returns contents of precInput as a double
% --- Executes during object creation, after setting all properties.
function precInput_CreateFcn(hObject, eventdata, handles)
% hObject handle to precInput (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
% --- Executes on button press in reset.
function reset_Callback(hObject, eventdata, handles)
% hObject handle to reset (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
set(handles.results,'Data',{});
set(handles.root,'String','');
set(handles.execTime,'String','');
set(handles.iterDisplay,'String','');
set(handles.precDisplay,'String','');
set(handles.thbound,'String','');
get(handles.axes1);
cla;
% --- Executes on button press in submit.
function submit_Callback(hObject, eventdata, handles)
% hObject handle to submit (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
syms x %set symbol x to be variable of equations
if(isempty(get(handles.equationEdit,'String'))) %check if user has entered and equation
errordlg('Enter the equation','Error');
else
equation = get(handles.equationEdit,'String');
equ = str2sym(equation); %convert string equation to symbolic equation
val=get(handles.popupmenu1,'value'); %get value of chosen method
%check empy and invalid parameters (numeric ones)
if (isempty(get(handles.maxIter,'String')) || isempty(get(handles.precInput,'String')))
set(handles.maxIter,'String','50');
set(handles.precInput,'String','0.00001');
end
if(isempty(get(handles.xa,'String')) || isempty(get(handles.maxIter,'String')) || isempty(get(handles.precInput,'String')))
errordlg('Missing Parameters','Error');
elseif ((val ~= 3 && val ~= 4) && (isempty(get(handles.xb,'String'))))
errordlg('Missing Parameters','Error');
elseif (isnan(str2double(get(handles.xa,'String'))) || isnan(str2double(get(handles.maxIter,'String'))) || isnan(str2double(get(handles.precInput,'String'))))
errordlg('Invalid Parameters','Error');
else %converting strings to numerical
xa = str2double(get(handles.xa,'String'));
xb = str2double(get(handles.xb,'String'));
maxIter = str2double(get(handles.maxIter,'String'));
precInput = str2double(get(handles.precInput,'String'));
tech = techniques; %create instance of class techniques
global trueval %set it as global variable
trueval = vpa(solve(equ, x, 'Real',true)); %solve equation exactly
true_value = trueval;
format longg; %for higher precision in display (more decimal places)
switch val
case 1 %bisection
tic
res = tech.bisection(xa, xb, precInput, maxIter, equ); % returns array with all iterations details
exec_time = toc;
if (res == -1)
errordlg('Input Values Do not Bracket','Error');
else
xr = res(end,2);
count_iter = res(end,1)+1;
prec = res(end,3); %precision (error)
end
case 2 %false position
tic
res = tech.false_position(xa, xb, precInput, maxIter, equ); % returns array with all iterations details
exec_time = toc;
if (res == -1)
errordlg('Input Values Do not Bracket','Error');
else
xr = res(end,2);
count_iter = res(end,1)+1;
prec = res(end,3); %precision (error)
end
case 3 %fixed point
tic
res = tech.fixed_point(xa, precInput, maxIter, equ);
exec_time = toc;
if (res == -1)
errordlg('Method Diverges','Error');
else
xr = res(end,2);
count_iter = res(end,1);
prec = res(end,3); %precision (error)
end
case 4 %newton raphson
tic
res = tech.newton(xa, precInput, maxIter, equ);
exec_time = toc;
xr = res(end,2);
count_iter = res(end,1);
prec = res(end,3); %precision (error)
case 5 %secant
tic
res = tech.secant(xa,xb, precInput, maxIter, equ);
exec_time = toc;
xr = res(end,2);
count_iter = res(end,1);
prec = res(end,3); %precision (error)
end
%get single-step mode checkbox value
singleStepCheck = get(handles.singlestepcheck,'value');
global results
results = res;
if(singleStepCheck == 0)
if (res ~= -1)
set(handles.results,'Data',res);
set(handles.root,'String',xr);
set(handles.execTime,'String',exec_time);
set(handles.iterDisplay,'String',count_iter);
set(handles.precDisplay,'String',prec);
%in case of fixed point, conv g(x) to f(x) by subtracting x
if (val == 3)
trueval = vpa(solve(equ-x, x, 'Real',true)); %solve equation exactly
true_value = trueval;
end
%calculating theoretical bound
min=1000000000000000
for i =1:1:length(true_value)
diff = abs(true_value(i) - xr)
if(diff < min)
ret = true_value(i)
min = diff;
end
end
calc = single(abs((ret - xr)/ret));
theortical_bound = round(calc,20);
set(handles.thbound,'String',theortical_bound);
end
end
if(res ~= -1)
x = (res(:,1)).';
y = (res(:,3)).';
axes(handles.axes1);
plot(x,y);
xlabel('Iterations')
ylabel('Relative error')
end
end
end
% --- Executes on button press in singlestepcheck.
function singlestepcheck_Callback(hObject, eventdata, handles)
% hObject handle to singlestepcheck (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
% Hint: get(hObject,'Value') returns toggle state of singlestepcheck
% --- Executes on button press in single_step_button.
function single_step_button_Callback(hObject, eventdata, handles)
% hObject handle to single_step_button (see GCBO)
% eventdata reserved - to be defined in a future version of MATLAB
% handles structure with handles and user data (see GUIDATA)
global results
res = results;
global trueval
true_value = trueval;
singleStepCheck = get(handles.singlestepcheck,'value');
if(singleStepCheck == 1)
if (results ~= -1)
oldRes = get(handles.results,'Data');
oldCount = size(oldRes,1);
if (oldCount ~= length(res))
if (oldCount == 0)
oldRes = [res(oldCount+1,:)] ;
else
oldRes = [oldRes ;res(oldCount+1,:)] ;
end
set(handles.results,'Data',oldRes);
else
xr = res(end,2);
count_iter = oldCount;
prec = res(end,3); %precision (error)
set(handles.root,'String',xr);
set(handles.iterDisplay,'String',count_iter);
set(handles.precDisplay,'String',prec);
%in case of fixed point, conv g(x) to f(x) by subtracting x
val=get(handles.popupmenu1,'value');
if (val == 3)
trueval = vpa(solve(equ-x, x, 'Real',true)); %solve equation exactly
%vpa converts it to double precision
true_value = trueval;
end
%calculating theoretical bound
min=1000000000000000;
for i =1:1:length(true_value)
diff = abs(true_value(i) - xr);
if(diff < min)
ret = true_value(i);
min = diff;
end
end
calc = single(abs((ret - xr)/ret));
theortical_bound = round(calc,20);
set(handles.thbound,'String',theortical_bound);
end
end
end