Function primitive_float_tan_pi 

pub fn primitive_float_tan_pi<T>(x: T) -> T
where
    Float: From<T> + PartialOrd<T>,
    for<'a> T: ExactFrom<&'a Float> + RoundingFrom<&'a Float> + PrimitiveFloat,

Computes $\tan(\pi x)$, the tangent of a primitive float measured in half-turns.

This is primitive_float_tan_with_period with a period of 2: see primitive_float_tan_with_period for the error bound and the special cases, with $u = 2$. Half-integers are poles and give exactly $\pm\infty$; integers give exactly $\pm0.0$, with the sign of the input at even integers and the opposite sign at odd ones; and odd multiples of $1/4$ give exactly $\pm1$.

Worst-case complexity

Constant time and additional memory.

Examples

use malachite_base::num::float::NiceFloat;
use malachite_float::float::arithmetic::tan::primitive_float_tan_pi;

assert!(primitive_float_tan_pi(f32::NAN).is_nan());
// a half-integer is a pole
assert_eq!(
    NiceFloat(primitive_float_tan_pi(0.5f32)),
    NiceFloat(f32::INFINITY)
);
// an odd integer is a zero, reached from below
assert_eq!(NiceFloat(primitive_float_tan_pi(1.0f64)), NiceFloat(-0.0));
// an odd multiple of a quarter is exactly 1
assert_eq!(NiceFloat(primitive_float_tan_pi(0.25f32)), NiceFloat(1.0));
assert_eq!(
    NiceFloat(primitive_float_tan_pi(0.1f32)),
    NiceFloat(0.3249197)
);
assert_eq!(
    NiceFloat(primitive_float_tan_pi(0.1f64)),
    NiceFloat(0.32491969623290634)
);