MATLAB: Less than or equal and greater than of equal operations

less than greater than

Dear all,
I have this vector
 DIFF=[  0
    0.0500
   -0.0200
    0.0100
   -0.0400
         0
         0
         0
    0.0500
         0
    0.0200
         0
    0.0100
         0
   -0.0100
         0
   -0.1500
         0
   -0.0100
         0];
and I want to make the following tranformation:
The values of DIFF<-0.02 to be tranformed to 1
The values of DIFF>=-0.02 & DIFF<-0.01 to be tranformed to 2
The values of DIFF>=-0.01 & DIFF<=0 to be tranformed to 3
The values of DIFF>0 & DIFF<=0.01 to be tranformed to 4
The values of DIFF>0.01 & DIFF<=0.02 to be tranformed to 5
The values of DIFF>0.02 to be tranformed to 6
So I constructed the following code
 c1= -0.02;
 c2= -0.01;
 c3= 0;
 c4= 0.01;
 c5= 0.02;
kk=size(DIFF,1);
 vy=zeros(kk,1); 
 f1=find( DIFF<c1);
f2=find(DIFF>=c1 & DIFF<c2);
f3=find(DIFF>=c2 & DIFF<=c3);
f4=find(DIFF>c3 & DIFF<=c4);
f5=find(DIFF>c4 & DIFF<=c5);
f6=find(DIFF>c5);
 vy(f1)=1;
vy(f2)=2;
vy(f3)=3;
vy(f4)=4;
vy(f5)=5;
vy(f6)=6;
And I finally obtain the following matrix
 DATA_NEW=[vy DIFF]
 3.0000         0
    6.0000    0.0500
    1.0000   -0.0200
    4.0000    0.0100
    1.0000   -0.0400
    3.0000         0
    3.0000         0
    3.0000         0
    6.0000    0.0500
    3.0000         0
    5.0000    0.0200
    3.0000         0
    4.0000    0.0100
    3.0000         0
    3.0000   -0.0100
    3.0000         0
    1.0000   -0.1500
    3.0000         0
    3.0000   -0.0100
    3.0000         0
But as you can see from the third element of DATA_NEW, the value of 1 is assigned to -0.02. But according to my categorization, the value of 2 should have been assigned to -0.02.
Similarly, the value of 6 is assigned to 0.05, but it should be the value of 5.
How could I rectify this problem given the fact that my real DIFF vector contains thousands of elements.
Thanks in advance

Best Answer

The vector you posted may not be showing the full precision of the values in it. If you calculated them (or imported them without looking at them), they may not be what they seem. See Why is 0.3 - 0.2 - 0.1 (or similar) not equal to zero? (link) for an explanation.
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