实验报告三

实验报告三
一、实验目的：
1. Learn to write MA TLAB functions
2. Be familiar with complex data and character data
3. Practice 2D plotting
二、实验内容：
1. Write three Matlab functions to calculate the hyperbolic sine, cosine, and tangent functions:
s i n h (),c o s h (),t a n ()
22x x x x x x x x e e e e e e h e e -----+-=+ then plot the shapes of hyperbolic sine, cosine, and tangent functions on one figure, 55x -≤≤. % calculate & plot .m
disp('This program solves for the value of sinh.cosh and tanh ');
x=input('Enter the value of x: ');
sinh=0.5*(exp(x)-exp(-x));
cosh=0.5*(exp(x)+exp(-x));
tanh=(exp(x)-exp(-x))/(exp(x)+exp(-x));
fprintf('the result is:\nsinh=%f,cosh=%f.tanh=%f\n',sinh,cosh,tanh);
>> This program solves for the value of sinh.cosh and tanh
Enter the value of x: 1
the result is:
sinh=1.175201,cosh=1.543081.tanh=0.761594
2. Write a program use the function 32
()552f x x x x =-+- and plot the line,
and search for the minimum and maximum in 200 steps over the range of 13x -≤≤, mark the minimum and maximum on the line figure.
% Plot the figure of f(x) .m
x=-1:0.02:3;
y=x.^3-5.*x.^2+5.*x-2 ;
[maxy1,index1]=max(y);
[miny2,index2]=min(y);
title('Plot the Line of f(x) ');
plot(x,y,'b-',x(index1),y(index1),'rh',x(index2),y(index2),'rh');
xlabel('X axis');
ylabel('Y axis');
grid on;
3. Write a function to calculate the distance between two points 11(,)x y and 22(,)x y , that the points should
be given by ‘input ’ function.
% Calc_ distance .m
disp('This program solves for the distance between two points ');
x1=input('Enter the value of x1: ');
y1=input('Enter the value of y1: ');
x2=input('Enter the value of x2: ');
y2=input('Enter the value of y2: ');
distance=sqrt((x1-x2)^2+(y1-y2)^2);
fprintf('The distance between two points is : %f\n',distance);
>> This program solves for the distance between two points
Enter the value of x1: 0
Enter the value of y1: 0
Enter the value of x2: 2
Enter the value of y2: 2
The distance between two points is : 2.828427
3. Write a function complex_to that accept a complex number var , and returns two output arguments containing the
magnitude mag and angle theta of the complex number. The output angle should be in degrees.
% Calc_ distance .m
disp('This program solves for the magnitude and angle of a complex ');
real=input('Enter the value of real: ');
imag=input('Enter the value of imag: ');
mag=abs(real+i*imag);
theta=angle(real+i*imag)*180/pi;
fprintf('The magnitude of the complex is : %f\n',mag);
fprintf('The angel of the complex is : %f\n',theta);
>> This program solves for the magnitude and angle of a complex
Enter the value of real: 1
Enter the value of imag: 1
The magnitude of the complex is : 1.414214
The angel of the complex is : 45.000000
Write another function polar_to_complex that accepts two input arguments containing the magnitude mag and angle theta of the complex number in degrees, and returns the complex number var.
disp('This program solves for the real and imag of a complex ');
mag=input('Enter the value of mag: ');
theta=input('Enter the value of theta: ');
real=mag*sin(theta*pi/180);
imag=mag*cos(theta*pi/180);
fprintf('The complex is :%f+i%f\n',real,imag);
>> This program solves for the real and imag of a complex
Enter the value of mag: 1.414
Enter the value of theta: 45
The complex is :0.999849+i0.999849
5. Write a program that accepts a series of strings from a user with the input function, sorts the strings into ascending order, and prints them out.
str=input('Please input the s tring:','s');
asc=double(s tr);
t e m=so rt(asc);
str2=char(tem);
disp(s tr2);
The result:
Please input the string:I love Matlab!
!IMaabello。