Function primitive_float_sin_cos_pi 

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

Computes $\sin(\pi x)$ and $\cos(\pi x)$, the sine and cosine of a primitive float measured in half-turns, together.

This is primitive_float_sin_cos_with_period with a period of 2: see primitive_float_sin_cos_with_period for the error bounds and the special cases, with $u = 2$. Multiples of $1/2$ give exact pairs from $\pm0.0$ (with the sign of the input for the sine) and $\pm1$.

Worst-case complexity

Constant time and additional memory.

Examples

use malachite_base::num::float::NiceFloat;
use malachite_float::float::arithmetic::sin_cos::primitive_float_sin_cos_pi;

let (s, c) = primitive_float_sin_cos_pi(f32::NAN);
assert!(s.is_nan());
assert!(c.is_nan());

let (s, c) = primitive_float_sin_cos_pi(0.5f32);
assert_eq!(NiceFloat(s), NiceFloat(1.0));
assert_eq!(NiceFloat(c), NiceFloat(0.0));

let (s, c) = primitive_float_sin_cos_pi(1.0f64);
assert_eq!(NiceFloat(s), NiceFloat(0.0));
assert_eq!(NiceFloat(c), NiceFloat(-1.0));

let (s, c) = primitive_float_sin_cos_pi(0.1f32);
assert_eq!(NiceFloat(s), NiceFloat(0.309017));
assert_eq!(NiceFloat(c), NiceFloat(0.95105654));

let (s, c) = primitive_float_sin_cos_pi(0.1f64);
assert_eq!(NiceFloat(s), NiceFloat(0.30901699437494745));
assert_eq!(NiceFloat(c), NiceFloat(0.9510565162951535));