//find roots of polynomials
use crate::integer::Planar64;

#[inline]
pub fn zeroes2(a0:Planar64,a1:Planar64,a2:Planar64) -> Vec<Planar64>{
	if a2==Planar64::ZERO{
		return zeroes1(a0, a1);
	}
	let mut radicand=a1.get() as i128*a1.get() as i128-a2.get() as i128*a0.get() as i128*4;
	if 0<radicand {
		//start with f64 sqrt
		let planar_radicand=Planar64::raw(unsafe{(radicand as f64).sqrt().to_int_unchecked()});
		//TODO: one or two newtons
		if Planar64::ZERO<a2 {
			return vec![(-a1-planar_radicand)/(a2*2),(-a1+planar_radicand)/(a2*2)];
		} else {
			return vec![(-a1+planar_radicand)/(a2*2),(-a1-planar_radicand)/(a2*2)];
		}
	} else if radicand==0 {
		return vec![a1/(a2*-2)];
	} else {
		return vec![];
	}
}
#[inline]
pub fn zeroes1(a0:Planar64,a1:Planar64) -> Vec<Planar64> {
	if a1==Planar64::ZERO{
		return vec![];
	} else {
		return vec![-a0/a1];
	}
}