## Monday, 18 November 2013

### How to create user defined function in MATLAB?

AIM: Study and Implementation of user defined function.

THEORY:
MATLAB function is a special type of M-file that runs in its own independent workspace. It receives input data through an input argument list, and returns results to the caller through an output argument list.

Syntax of function:

 function [output parameters] = function_name (Input parameters) Statements; Statements; Statements;               Statements; End

The function statement marks the beginning of the function. It specifies the name of the function and the input and output argument lists. The input argument list appears in parentheses after the function name, and the output argument list appears in brackets to the left of the equal sign. (If there is only one output argument, the brackets can be dropped.) Each ordinary MATLAB function should be placed in a file with the same name (including capitalization) as the function, and the file extent “.m”. For example, if a function is named My_fun, then that function should be placed in a file named My_fun.m.

PROCEDURE:
1. Program for finding Area and Circumference of the circle:
Area of the circle having formula Area = pi*r^2;
Circumference of the circle is = 2*pi*r;
Create a function having two outputs. One is Area and other is circumference of the circle with only one input radius.
2. Program for finding distance between two Cartesian coordinates:

Point p1(x1,y1) and point p2(x2,y2) these are two points used to find distance. Write a function having only one output that is distance and having four input values x1, x2, y1 and y2. With the help of above equation just implement function which calculate distance between two points.

1. Program for finding AREA and CIRCUMFERENCE of circle using function:
Function:

 function [area circum]=AREA(r) % output Parameters: % area = Area of Circle % Circum = circumference of circle % Input parameters: % r = Radius of circle  area= pi*r^2; circum= 2* pi* r;

Application code:

 % Test Application of Area function r=input('Enter Radius for circle = '); [area circum]=AREA(r); disp('Area of circle is');area disp('Circumference of circle is');circum

Output:

 Enter Radius for circle = 6 Area of circle is area = 113.0973 Circumference of circle is circum = 37.6991

2. Program for finding distance between two Cartesian coordinates:
Function:

 function [dis]=dist(x1,x2,y1,y2) % Output: % dis = distance between two cartesian coordinates % Input: % x1 = x coordinate value of 1st point % x2 = x coordinate value of 2nd point % y1 = y coordinate value of 1st point % y2 = y coordinate value of 2nd point  dis=sqrt((x2-x1)^2+(y2-y1)^2);

Application code:

 % Application for dist function x1=input('Enter x coordinate value for 1st point = '); x2=input('Enter x coordinate value for 2nd point = '); y1=input('Enter y coordinate value for 1st point = '); y2=input('Enter y coordinate value for 2nd point = '); dis=dist(x1,x2,y1,y2); disp('Distance between two cartesian coordinate points is');dis

Output:

 Enter x coordinate value for 1st point = 1 Enter x coordinate value for 2nd point = 5 Enter y coordinate value for 1st point = 1 Enter y coordinate value for 2nd point = 4 Distance between two Cartesian coordinate points is dis = 5