$title 'Test correctness of arctan2 intrinsic' (FNATAN2,SEQ=274)

$include fnset_xy.inc

$gdxIn fnatan2
$load aeps reps T data
$gdxIn

data(T,'fyx_') = data(T,'fxy_');

loop {T,
  data(T,  'f')  = arctan2.value(   data(T,'y'),data(T,'x'));
  data(T, 'fy')  = arctan2.grad(1:  data(T,'y'),data(T,'x'));
  data(T, 'fx')  = arctan2.grad(2:  data(T,'y'),data(T,'x'));
  data(T,'fyy')  = arctan2.hess(1:1:data(T,'y'),data(T,'x'));
  data(T,'fyx')  = arctan2.hess(1:2:data(T,'y'),data(T,'x'));
  data(T,'fxy')  = arctan2.hess(2:1:data(T,'y'),data(T,'x'));
  data(T,'fxx')  = arctan2.hess(2:2:data(T,'y'),data(T,'x'));
  data(T, 'rc')  = mathlastrc;
  data(T, 'ec')  = mathlastec;
};

* we may get evaluation errors if we have some (nearly) singular
* points in the input: this should not cause the test to fail
execerror = 0;

$include fntest_xy.inc