element-wise exponential of matrix returns all 1s

I would like to exponentiate each element of a matrix of complex numbers. I know I am missing something basic about the operation of the exp function however I cannot figure out what it is.

A = pi / (500e-6);
x = repmat([-1, 0, 1],3,1);
y = repmat([1,0,-1]',1,3);
thetas = A * (x.^2 + y.^2);

exp(-1i * thetas)

However when I run this code the result is

   1.0000 - 0.0000i   1.0000 - 0.0000i   1.0000 - 0.0000i
   1.0000 - 0.0000i   1.0000 + 0.0000i   1.0000 - 0.0000i
   1.0000 - 0.0000i   1.0000 - 0.0000i   1.0000 - 0.0000i
   

I know that this is not what I want since I can see that

thetas =

   1.0e+04 *

    1.2566    0.6283    1.2566
    0.6283         0    0.6283
    1.2566    0.6283    1.2566

and if I exponentiate one of these values I shouldnt get 1. For example:

>> exp(-1i * 1.0e+04 * 1.2566)

ans =

   0.9321 + 0.3622i

Stanger still if I run:

A = 12566;
x = repmat([-1, 0, 1],3,1);
y = repmat([1,0,-1]',1,3);
thetas = A * (x.^2 + y.^2);

exp(-1i * thetas)

I get the values I would expect.

Answer 1

[Fangjun Jiang]

It's a matter of display. Run this and show the result again.

format long

Answer 2

[James Tursa]

Your calculations are sensitive to the input numbers. E.g.,

>> format longg
>> thetas(1)
ans =
          12566.3706143592
>> exp(1i*thetas(1))
ans =
                          1 -  1.28566658371025e-12i
>> exp(1i * 1.0e+04 * 1.2566)
ans =
          0.932105007914798 -     0.362188147542344i

Truncating the input causes this difference.