How can I find the index and value of the smallest element within a range of values in a vector

So, I need to find the index and value of the smallest element in a vector within a particular range of values:

so something like

loVal=1;
hiVal=10;
testVals = [-1;3;8;20];
[val, idx]=min((testVals>loVal)&(testVals<hiVal));% gives the wrong values!

then I would like the answer to come back; val=3 idx=2

Obviously, this script doesn't work. I have tried putting it on two lines;

rangeTestVals=testVals>loVal&testVals<hiVal;
[val, idx]=min(testVals(rangeTestVals));

but that produces; val=3 idx=1

but '1' is the index in the subset of testVals values, not the index I want. Every way I try this is quite inelegant.

Any thoughts?

Answer 1

[Adam]

vals( vals <= lowVal ) = NaN;
vals( vals >= highVal ) = NaN;

[val,idx] = nanmin( vals );

Seems to work but isn't the most elegant approach perhaps. And obviously you would probably want to do it on a copy of your vector rather than in-place unless you don't want to use the vector again afterwards.

Answer 2

[James Tursa]

You could add code to map the index back into the original vector. E.g.,

rangeTestVals = testVals>loVal & testVal<hiVal;
[val, idx] = min(testVals(rangeTestVals));
f = find(rangeTestVals);
idx = f(idx);