Sign switching in a sequence

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olig
olig on 7 Jun 2013
I have a column vector for example,
A=[10; 30; 30; 40; 60; 70; 50; 50; 60; 20; 20]
What I want to do is count each time a number makes a transition from a smaller number to a large number, to count the numbers of times a number makes a transition from a larger number to a smaller number and the number of times the is no change in numbers.
Any help would be great thanks!

Accepted Answer

Doug Hull
Doug Hull on 7 Jun 2013
Look at the diff command. It will subtract each element from the next. Look at the sign of that calculation and you will be all set.
>> A=[10; 30; 30; 40; 60; 70; 50; 50; 60; 20; 20]
A =
10
30
30
40
60
70
50
50
60
20
20
>> d = diff(A)
d =
20
0
10
20
10
-20
0
10
-40
0
>> nnz(d > 0)
ans =
5
>> nnz(d < 0)
ans =
2
>> nnz(d == 0)
ans =
3

More Answers (1)

Azzi Abdelmalek
Azzi Abdelmalek on 7 Jun 2013
Edited: Azzi Abdelmalek on 7 Jun 2013
ii=histc(sign(diff(A)),[-1;0;1])
%ii(1) correspond to switch high-low
%ii(2) no switch
%ii(3) switch low-high
doc diff
doc sign
doc histc

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