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Newton-Raphson Method GUI

Newton-Raphson Method GUI

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12 Sep 2013 (Updated )

Find exact roots of an equation easily in a GUI

newton_Raphson_GUI(varargin)
function varargout = newton_Raphson_GUI(varargin)
% NEWTON_RAPHSON_GUI M-file for newton_Raphson_GUI.fig
%      NEWTON_RAPHSON_GUI, by itself, creates a new NEWTON_RAPHSON_GUI or raises the existing
%      singleton*.
%
%      H = NEWTON_RAPHSON_GUI returns the handle to a new NEWTON_RAPHSON_GUI or the handle to
%      the existing singleton*.
%
%      NEWTON_RAPHSON_GUI('CALLBACK',hObject,eventData,handles,...) calls the local
%      function named CALLBACK in NEWTON_RAPHSON_GUI.M with the given input arguments.
%
%      NEWTON_RAPHSON_GUI('Property','Value',...) creates a new NEWTON_RAPHSON_GUI or raises the
%      existing singleton*.  Starting from the left, property value pairs are
%      applied to the GUI before newton_Raphson_GUI_OpeningFunction gets called.  An
%      unrecognized property name or invalid value makes property application
%      stop.  All inputs are passed to newton_Raphson_GUI_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 newton_Raphson_GUI

% Last Modified by GUIDE v2.5 09-Sep-2013 22:52:08

% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',       mfilename, ...
                   'gui_Singleton',  gui_Singleton, ...
                   'gui_OpeningFcn', @newton_Raphson_GUI_OpeningFcn, ...
                   'gui_OutputFcn',  @newton_Raphson_GUI_OutputFcn, ...
                   'gui_LayoutFcn',  [] , ...
                   'gui_Callback',   []);
if nargin & isstr(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 newton_Raphson_GUI is made visible.
function newton_Raphson_GUI_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 newton_Raphson_GUI (see VARARGIN)

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

% Update handles structure
guidata(hObject, handles);

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


% --- Outputs from this function are returned to the command line.
function varargout = newton_Raphson_GUI_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;


% --- Executes during object creation, after setting all properties.
function f_CreateFcn(hObject, eventdata, handles)
% hObject    handle to f (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
    set(hObject,'BackgroundColor','white');
else
    set(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));
end



function f_Callback(hObject, eventdata, handles)
% hObject    handle to f (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 f as text
%        str2double(get(hObject,'String')) returns contents of f as a double


% --- Executes on button press in plot.
function plot_Callback(hObject, eventdata, handles)
syms x;
fun=(x.^2)-1;
ezplot(fun);
% hObject    handle to plot (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles    structure with handles and user data (see GUIDATA)


% --- Executes during object creation, after setting all properties.
function x0_CreateFcn(hObject, eventdata, handles)
% hObject    handle to x0 (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
    set(hObject,'BackgroundColor','white');
else
    set(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));
end



function x0_Callback(hObject, eventdata, handles)
% hObject    handle to x0 (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 x0 as text
%        str2double(get(hObject,'String')) returns contents of x0 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
    set(hObject,'BackgroundColor','white');
else
    set(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));
end



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 edit5_CreateFcn(hObject, eventdata, handles)
% hObject    handle to edit5 (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
    set(hObject,'BackgroundColor','white');
else
    set(hObject,'BackgroundColor',get(0,'defaultUicontrolBackgroundColor'));
end



function edit5_Callback(hObject, eventdata, handles)
% hObject    handle to edit5 (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 edit5 as text
%        str2double(get(hObject,'String')) returns contents of edit5 as a double


% --- Executes on button press in solve.
function solve_Callback(hObject, eventdata, handles)

xi=str2num(get(handles.x0,'string'));

for i=1:20
    
xn=xi-(polyval([1 0 -1],[xi])/polyval(polyder([1 0 -1]),[xi]));
disp(xn);
set(handles.r,'string',xn);
xi=xn;
i=i+1;

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


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