strafe-client/src/zeroes.rs
2023-10-18 16:30:02 -07:00

32 lines
858 B
Rust

//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 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];
}
}