Studi Kasus Interpolasi Linear Menggunakan Matlab

Interpolasi adalah cara menentukan nilai yang berada di antara dua nilai diketahui berasarkan suatu fungsi persamaan. Interpolasi linear adalah cara menentukan nilai yang berada di antara dua nilai diketahui berdasarkan persamaan linear (persamaan garis lurus). Persamaan linear disebut juga dengan persamaan garis lurus karena jika hasil persamaan linear digambarkan pada kertas grafik maka bentuk kurvanya adalah garis lurus.

Berikut ini adalah contoh atau gambaran dari studi kasus Interpolasi linear menggunakan Matlab

Studi Kasus :

Interpolasi Linear

Masukan x1 y1 : 1 1.5

Masukan x2 y2 3 2.5

Masukan koordinat titik – titik yang akan dicari interpolasinya

Masukan x:2.1

Menentukan nilai absis dari titik yang akan dicari interpolasinya

Hasilnya y : 2.05

Hasil interpolasi linear dari titik – titik tersebut adalah 2.05

Interpolasi Linear

function varargout = Interpolasi_Linear(varargin)

% INTERPOLASI_LINEAR MATLAB code for Interpolasi_Linear.fig

%      INTERPOLASI_LINEAR, by itself, creates a new INTERPOLASI_LINEAR or raises the existing

%      singleton*.

%

%      H = INTERPOLASI_LINEAR returns the handle to a new INTERPOLASI_LINEAR or the handle to

%      the existing singleton*.

%

%      INTERPOLASI_LINEAR('CALLBACK',hObject,eventData,handles,...) calls the local

%      function named CALLBACK in INTERPOLASI_LINEAR.M with the given input arguments.

%

%      INTERPOLASI_LINEAR('Property','Value',...) creates a new INTERPOLASI_LINEAR or raises the

%      existing singleton*.  Starting from the left, property value pairs are

%      applied to the GUI before Interpolasi_Linear_OpeningFcn gets called.  An

%      unrecognized property name or invalid value makes property application

%      stop.  All inputs are passed to Interpolasi_Linear_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 Interpolasi_Linear

% Last Modified by GUIDE v2.5 18-May-2018 15:01:38

% Begin initialization code - DO NOT EDIT

gui_Singleton = 1;

gui_State = struct('gui_Name',       mfilename, ...

                   'gui_Singleton',  gui_Singleton, ...

                   'gui_OpeningFcn', @Interpolasi_Linear_OpeningFcn, ...

                   'gui_OutputFcn',  @Interpolasi_Linear_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 Interpolasi_Linear is made visible.

function Interpolasi_Linear_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 Interpolasi_Linear (see VARARGIN)

% Choose default command line output for Interpolasi_Linear

handles.output = hObject;

% Update handles structure

guidata(hObject, handles);

% UIWAIT makes Interpolasi_Linear wait for user response (see UIRESUME)

% uiwait(handles.figure1);

% --- Outputs from this function are returned to the command line.

function varargout = Interpolasi_Linear_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 x1_edit_Callback(hObject, eventdata, handles)

% hObject    handle to x1_edit (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 x1_edit as text

%        str2double(get(hObject,'String')) returns contents of x1_edit as a double

% --- Executes during object creation, after setting all properties.

function x1_edit_CreateFcn(hObject, eventdata, handles)

% hObject    handle to x1_edit (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 x2_edit_Callback(hObject, eventdata, handles)

% hObject    handle to x2_edit (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 x2_edit as text

%        str2double(get(hObject,'String')) returns contents of x2_edit as a double

% --- Executes during object creation, after setting all properties.

function x2_edit_CreateFcn(hObject, eventdata, handles)

% hObject    handle to x2_edit (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 y1_edit_Callback(hObject, eventdata, handles)

% hObject    handle to y1_edit (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 y1_edit as text

%        str2double(get(hObject,'String')) returns contents of y1_edit as a double

% --- Executes during object creation, after setting all properties.

function y1_edit_CreateFcn(hObject, eventdata, handles)

% hObject    handle to y1_edit (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 y2_edit_Callback(hObject, eventdata, handles)

% hObject    handle to y2_edit (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 y2_edit as text

%        str2double(get(hObject,'String')) returns contents of y2_edit as a double

% --- Executes during object creation, after setting all properties.

function y2_edit_CreateFcn(hObject, eventdata, handles)

% hObject    handle to y2_edit (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 x_edit_Callback(hObject, eventdata, handles)

% hObject    handle to x_edit (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 x_edit as text

%        str2double(get(hObject,'String')) returns contents of x_edit as a double

% --- Executes during object creation, after setting all properties.

function x_edit_CreateFcn(hObject, eventdata, handles)

% hObject    handle to x_edit (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 y_edit_Callback(hObject, eventdata, handles)

% hObject    handle to y_edit (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 y_edit as text

%        str2double(get(hObject,'String')) returns contents of y_edit as a double

% --- Executes during object creation, after setting all properties.

function y_edit_CreateFcn(hObject, eventdata, handles)

% hObject    handle to y_edit (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 calculate_pushbutton.

function calculate_pushbutton_Callback(hObject, eventdata, handles)

% hObject    handle to calculate_pushbutton (see GCBO)

% eventdata  reserved - to be defined in a future version of MATLAB

% handles    structure with handles and user data (see GUIDATA)

hold off;

x1 = str2num(get(handles.x1_edit,'String'));

y1 = str2num(get(handles.y1_edit,'String'));

x2 = str2num(get(handles.x2_edit,'String'));

y2 = str2num(get(handles.y2_edit,'String'));

x = str2num(get(handles.x_edit,'String'));

y=(((y2-y1)/(x2-x1))*(x-x1))+y1;

%plotting data x

x(1)=x1;

yy(1)=y1;

xx(2)=x2; yy(2)=y2;

xx(3)=x; yy(3)=y;

plot(xx,yy,'o');

hold on;   

set(handles.y_edit,'String',num2str(y));

%plotting y

axes(handles.axes1); x=0:0.1:x2+1

y=(((y2-y1)/(x2-x1)).*(x-x1))+y1;

%x=0:10;

%y=x.^2;

plot(x,y);

title('y=(((y2-y1)/(x2-x1))*(x-x1))+y1');

xlabel('x');

ylabel('y');

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