How to evaluate an array of function handles at different points

I have a cell array of 3 functions handles

phi={@ (x,y) 1-x-y,@ (x,y) x,@(x,y) y}

I need to evaluate it at 4 different points (0,0) (1,0) (0,1) and (1/3 1/3)

q=[0 1 0 1/3;0 0 1 1/3]

to create an 3x4 array of values where each row represents a function at four different points

How do I do it?

Thanks

Answer 1

[Walter Roberson]

This is a case where a for loop would probably be fastest. You could instead use

cell2mat( arrayfun( @(x,y) [phi{1}(x,y), phi{2}(x,y), phi{3}(x,y), phi{4}(x,y)], q(1,:).', q(2,:).', 'Uniform', 0 ) )

but arrayfun is going to be slower than a for loop.

[ieva ashmore]

I am sorry, but I do not understand your response. I only have 3 function handles, not 4 I have 4 point (x,y coordinates) not 2

[Walter Roberson]

cell2mat( arrayfun( @(x,y) [phi{1}(x,y), phi{2}(x,y), phi{3}(x,y)], q(1,:).', q(2,:).', 'Uniform', 0 ) )

[ieva ashmore]

Thank you. That was very helpful