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8/2/2019 Modelling Lecture JP 08
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Lecture 07
8/2/2019 Modelling Lecture JP 08
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What we about to learn..
Content:
Basic Logical Functions
true and false Logicals
Loops: for Loop
Loops: while Loop
Loops: if Loop
Function
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Loops/Logicals 01 Sometime we would like to perform some repeated functions/routines in
programme, and we could use loops.
There are different type of logicals/loops, like
some basic ones: & and, | or, > greater than, (greater than): it is a function to express comparison of event with the
first greater than the second. =,
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Loops/Logicals 02 MATLAB represents the logicals oftrue or false by 1 or 0, respectively.
Logicals in statement-testing:>> a=1; a>2, a> b=[-1 2.2; 10 0];
>> b>=1 & b*3~=0
ans =
0 1
1 0
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Loops/Logicals 03 for loop expresses repeated statements for a specific number of times:
Example 1 (Single Layer):
>> y = -1:0.05:1;
>> for k = 1:8subplot(4,2,k), plot(y,sin(k*pi()*y))
end
Example 2 (Multiple Layers):
>> y = -1:0.05:1;
>> for i=4
for j=2
for k=1:8subplot(i,j,k), plot(y,sin(i*j*k*pi()*y));
end
end
end
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Loops/Logicals 04 for loop results:
Example 1 (Single Layer): Example 2 (Multiple Layers):
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-2
0
2x 10
-14
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
-1 -0.5 0 0.5 1-1
0
1
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Loops/Logicals 05 while loop expresses repeated statements for a infinity number of times:
Example:
>> dX=0.01;
>> X=0:dX:2;>> Y=0*X;
>> Y(1)=1;
>> i=1;S=size(X);
>> SM=max(size(X))
SM =
201
>> while(i> plot(X,Y)
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Loops/Logicals 06 while loop result:
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
0.7
0.8
0.9
1
1.1
1.2
1.3
1.4
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Loops/Logicals 07 if loop expresses conditionally executed statements:
Example 1:
>> A=[1:4;1:4;1:4;1:4];
>> if A(1,2)==1A(1,1)=1;
elseif A(4,4)==2
A(3,3)=2;
else
A(1,1)=A(1,1)+1;
end
>> AA =
2 2 3 4
1 2 3 4
1 2 3 41 2 3 4
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Loops/Logicals 08 Combined-looping:
Example 2 (To Continue from 1st Example):
>> icount0=0;icount1=0;icount2=0;error=0;
>> for i=1:4for j=1:4
if A(i,j)==0
icount0=icount0+1;
elseif A(i,j)==1
icount1=icount1+1;
elseif A(i,j)==2
icount2=icount2+1;else
error=error+1;
end
endend
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Loops/Logicals 09 Example 2 (Continue As what results we can get):
>> icount0
icount0 =
0>> icount1
icount1 =
3
>> icount2
icount2 =
5
>> error
error =
8
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Loops/Logicals 10
Function a streams of simple operations that use for constructing
a routine/sub-routine:
In M-File, type:
function [X] = multiplication(x,y,z)k = x+y+z;
X = sqrt(k)*x*y*z;
Then, save under filename and folder you want: e.g.
multiplication.m
After that, we could execute:
H=multiplication(1,-2,3)
H =
-8.4853