Download - Puff! The magic dragon, live by the tree… 第 3 章 檔案、函數、資料結構 files, functions, and data structures
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Puff! The magic dragon, live by the tree…
第 3章 檔案、函數、資料結構files, functions, and data structures
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Puff! The magic dragon, live by the tree…
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Puff! The magic dragon, live by the tree…
Why use ‘files’?
• 多行指令 or 日後重複使用
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3 types of files
• *.m, ~ in ASCII format
• *.mat, ~ in binary format
(variables in work space)
• data file ~ in ASCII format
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Puff! The magic dragon, live by the tree…
Recording ur session
• diary ~ save in the file ‘diary’
• type diary ~ u can see the record after u have typed ‘diary’
• diary filename ~ assign the filename that will be recorded
• get(O,’diary’) ~ ‘on’ or ‘off’ ~ see the situation that whether diary is on or off!
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Saving and retriving ur workspace variables~ save & load
• save ~ in matlab.mat
• save filename
• load filename
• save filename var1 var2
• save filename –ASCII
• save filename –double
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Importing data from externally generated files
• load filename (remember to remove the header first)
• e.g. load force.dat ~ than we get a matrix named ‘force’
• Don’t use ‘*.mat’ as the data file!
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Importing spreadsheet files
• M=wk1read(‘filename’)
• A=xlsread(‘filename’)
• [A,B] =xlsread(‘filename’)
1. Try to generate a 3 by 10 matrix with all elements are ’10’ in excel, and save it as ‘ggg.xls’
2. Try to read it from matlab
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The import wizard
• importing data
• exporting data
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Importing ASCII data
• P.129 attentions!
• Data type: numeric? Text? Or in mixed type!
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Import ASCII data files with text headers
• P.130-131
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Importing mixed text and numeric ASCII data
• P.131-132
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Importing binary data files
• ?A=[1 2 3; 4 5 6; 7 8 9]• A =• 1 2 3• 4 5 6• 7 8 9• ?save my_data.out A -ascii• ?type A• ??? Error using ==> type• a.m: File not found.• type my_data.out
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Controlling input & output
• ?speed=30
• speed =
• 30
• ?disp('The predicted speed is:')
• The predicted speed is:
• ?disp(speed)
• 30
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Example (p.134-135)
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• ?a=3/7• a =• 0.4286• ?format long• ?a• a =• 0.42857142857143• ?format short e• ?a• a =• 4.2857e-001• ?format long e• ?a• a =• 4.285714285714286e-001
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• ?format rat• ?a• a =• 3/7 • ?format bank • ?a• a =• 0.43
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User input
• input (‘please enter the value of x’)• If x, y exist first!• ?k=menu('Choose a data marker','o','*','x');• ?type=['o','*','x'];• ?k• k =• 2• ?plot(x,y,x,y,type(k))
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User input
• xi=input ('please enter the initial value of x ')• xf=input ('please enter the initial value of x ')• x=[xi:0.01:xf];• y=sin(x);• k=menu('Choose a data marker','o','*','x');• k• type=['o','*','x'];• plot(x,y,x,y,type(k))
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Puff! The magic dragon, live by the tree…
Elementary mathematical functions
• ?lookfor imaginary
• I Imaginary unit.
• J Imaginary unit.
• COMPLEX Construct complex result from real and imaginary parts.
• IMAG Complex imaginary part.
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Exponential & logarithmic functions
• ?x=9;
• ?y=sqrt(x);
• ?x,y
• x =
• 9
• y =
• 3
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Complex number functions
• x=a+b*I ~ (M,th)
• M=sqrt(a^2+b^2) ~ abs(x)
• th=arctan(b/a) ~ angle(x)
• a=M*cos(th) ~ real(x)
• b=M*sin(th) ~ imag(x)
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Complex number functions
• a=input('please input the real part ')• b=input('please input the real part ')• x=a+b*i• M=sqrt(a^2+b^2)• M1=abs(x)• th=atan(b/a)• th1=angle(x)• th2=atan2(b,a)• aa=M*cos(th2)• aa1=real(x)• bb=M*sin(th2)• bb1=imag(x)
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Complex number functions
• >> test5• please input the real part -3• a =• -3• please input the real part 4• b =• 4• x =• -3.0000 + 4.0000i• M =• 5• M1 =• 5
• th =
• -0.9273• th1 =• 2.2143• th2 =• 2.2143• aa =• -3.0000• aa1 =• -3• bb =• 4.0000• bb1 =• 4
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• x =• 3.0000 - 4.0000i• ?abs(x)• ans =• 5• ?angle(x)• ans =• -0.9273• 第四象限
• ?y=-3+4*i• y =• -3.0000 + 4.0000i• ?angle(y)• ans =• 2.2143• 第二象限
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x is a vector
• abs(x) ~ return all the absolute value of each elements ~ a vector again!
• We can use sqrt(x’*x) to obtain the ‘length’ of the vector x when x is a column vector
• We can use sqrt(x*x’) to obtain the ‘length’ of the vector x when x is a row vector
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• ?x=-3+4i• x =• -3.0000 + 4.0000i• ?y=6-8i• y =• 6.0000 - 8.0000i• ?mag_x=abs(x)• mag_x =• 5• ?angle_x=angle(x)• angle_x =• 2.2143• ?angle_y=angle(y)• angle_y =• -0.9273
• ?sum_angle=angle_x+angle_y• sum_angle =• 1.2870• ?sum1=angle(x+y)• sum1 =• -0.9273• ?angle_product=angle(x*y)• angle_product =• 1.2870
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Numerical functions
• ?x=[5,7,15]
• x =
• 5 7 15
• ?y=sqrt(x)
• y =
• 2.2361 2.6458 3.8730
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• ?x1=2.1• x1 =• 2.1000• ?x2=2.9• x2 =• 2.9000• ?round(x1)• ans =• 2• ?round(x2)• ans =• 3• ?fix(x1)• ans =• 2• ?fix(x2)• ans =• 2
• ?ceil(x1)
• ans =
• 3
• ?ceil(x2)
• ans =
• 3
• ?floor(x1)• ans =• 2• ?floor(x2)• ans =• 2
• What happen when x1=-2.1, x2=-2.9?
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Trigonometric functions
• ?x=[1;2;3]• x =• 1• 2• 3• ?sin(x.^2+5)• ans =• -0.2794• 0.4121• 0.9906
• ?sin(sqrt(x)+1)• ans =• 0.9093• 0.6649• 0.3982
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atan(y/x), atan2(y,x)
• x =• 3• ?y=-4• y =• -4• ?atan(y/x)• ans =• -0.9273• ?atan2(y,x)• ans =• -0.9273
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Hyperbolic functions
2cosh
xx eex
2sinh
xx eex
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Self testing
• P.143
• Use ur calculator now
• Use ur computer after this class
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User-defined functions
• function file ~ local variables
• function definition line 函數定義列 ~1st line
function[output variables]=function_name(input variables);
• save as function_name.m
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function definition line 函數定義列
1. function[area_square]=square(side) 1 input/1 output
2. function area_square=square(side) 1 input/1 output
3. function[volume_box]=box(height, width,length) 3 input/1 output
4. function[area_circle,circumf]=circle(radius) 1 input/2 output
5. function sqplot(side) ~ just plotting
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• a=32.2; %call_drop.m• initial_speed=10;• time=5;• [feet_Dropped,speed]=drop(a, initial_speed,time)• %[feet_Dropped,speed]=drop(32.2,10, 5)• %[feet_Dropped,speed]=drop(32.2,10, [0:1:5])
• function[dist, vel]=drop(g,v0,t);
• %calculate the velocity and falling distance for the free falling body
• %input var: acceleration, initial vel. v0, falling time t
• vel=g*t+v0;
• dist=0.5*g*t.^2+v0*t;
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Local variables
• U can use it freely in the functions
• U don’t have to care any multi-use of the variable
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Global variables
• Common used variables!
• See p.147-149 for detail description
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• function P=ideal_1(T,Vhat,R);• P=R*T./Vhat;• function P=ideal_2(T,Vhat);• R=0.08206;• P=R*T./Vhat;• function P=ideal_3(T,Vhat);• global R;• P=R*T./Vhat;• global R• R=0.08206;• ideal_3([300,330],20)
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• function P=vdwaals_1(T,Vhat,R,a,b);• P=R*T./(Vhat-b)-a./Vhat.^2;• function P=vdwaals_2(T,Vhat);• R=0.08206• A=6.49; b=0.0562;• P=R*T./(Vhat-b)-a./Vhat.^2;• vdwaals_3(300,20)• P???????????• P=vdwaals_3(300,20)
• global a,b
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applications
• Finding zeros of a function
• ~ roots ~ for single variable only
• ~fzero(‘function’,x0)~ find out the zero for ‘function’ near x0
• ~fzero(‘function’,x0(1),xo(2))~
f(x0(1))*f(x0(2))<0
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• function y=f1(x)
• y=x+2*exp(-x)-3;
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minimizing a function of one variable
• fminbnd(‘function’,x1,x2) ????????
• Pp.151-152
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