Applying a constant function on a vector

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Jose
Jose on 22 Nov 2012
Hi,
I am writing a program for school. I need the user to input a function as a string, and then I need to process it.
What I am doing:
f = vectorize(inline(user_input_string));
x = linspace(0, 20, 20);
y = f(x);
...
This works perfectly except when the user inputs a constant function (such as f = 1). In order for my project to work, y must be a vector. But if the user inputs a constant function, Matlab automatically sets y to a sclalar, instead of a vector.
What can I do?

Answers (5)

Star Strider
Star Strider on 22 Nov 2012
Edited: Star Strider on 22 Nov 2012
I'm not certain I completely understand your problem. However, you could test for a scalar and if something like f=1 was the input, perhaps set y to:
f = '1';
y = polyval(str2num(f), x);
If the test for a scalar was true, you could also consider something like:
user_input_string = sprintf('polyval(%s, x)', f);
Without knowing more, that's the best solution I can come up with.
  2 Comments
Jose
Jose on 22 Nov 2012
No, that won't solve it. I'll explain better:
- the user inputs a function
- i apply the function on a vector (linspace(0, 20, 100))
- then i want to get a vector i can use later on a internal product
- however, if the function e constant (let's say, f = 1), if i apply the function on the vector, i don't get another vector, i get a scalar.
Hope it's is clearer now.
Star Strider
Star Strider on 22 Nov 2012
If the user inputs a constant, what output for user_input_string do you want?
The polyval function outputs a vector of constant values equal to the scalar input value with a length equal to the length of your x-vector. It's the only option I can think of that's compatible with your user_input_string variable.
The version I posted earlier assumes the scalar is read in as a string. If you read f in as a numeric value instead, replace the %s with %f:
user_input_string = sprintf('polyval(%f, x)', f);

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Walter Roberson
Walter Roberson on 22 Nov 2012
if length(y) == 1; y = y(ones(size(x))); end

Matt J
Matt J on 22 Nov 2012
Edited: Matt J on 22 Nov 2012
f = inline(user_input_string);
fh=@(x) f(x);
x = linspace(0, 20, 20);
y = arrayfun(fh,x);

Jose
Jose on 23 Nov 2012
Thanks guys!

Matt Fig
Matt Fig on 23 Nov 2012
You can specify the variable in your call to INLINE. For example, this works even if the user enters 2:
f = vectorize(inline(input('Enter a func of x : ','s'),'x'));
  2 Comments
Matt J
Matt J on 23 Nov 2012
Edited: Matt J on 23 Nov 2012
No, it doesn't work around the issue cited by the OP. The code still gives
>> f(1:10)
ans =
1
whereas the desired output is ones(1,10).
Matt Fig
Matt Fig on 23 Nov 2012
Ah, good catch...
I guess we could get fancy.
S = input('Enter a func of x : ','s');
f = vectorize(inline([S,'+zeros(size(x),class(x))'],'x'));
But, yuck.

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