Defining a piecewise function using a list

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I would like to define a piecewise function by providing two lists and using a for loop eg:
xlist = {1, 2, 3, 4}
ylist = {4, 5, 6}
f(x):= { ylist[1] if x in [ xlist[1],xlist[2] ]; ylist[2] if x in [ xlist[2],xlist[3] ]; ylist[3] if x in [ xlist[3],xlist[4] ]; 0 otherwise}

Answers (1)

Walter Roberson
Walter Roberson on 12 Sep 2018
t = num2cell(piecewise([reshape([x >= xlist(1:end-1) & x < xlist(2:end)], [], 1), ylist(:); sym('true'), 0].'));
f = piecewise(t{:});
I had to make assumptions about whether you wanted your ranges to be semi-open or semi-closed

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