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move zeroes to fixed_wide

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Quaternions 2024-09-02 15:01:04 -07:00
parent 74afcf457d
commit bd6b7ff217
2 changed files with 0 additions and 48 deletions
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1
src/lib.rs
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@ -5,7 +5,6 @@ pub mod aabb;
pub mod model;
pub mod mouse;
pub mod timer;
pub mod zeroes;
pub mod integer;
pub mod physics;
pub mod updatable;

47
src/zeroes.rs
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@ -1,47 +0,0 @@
//find roots of polynomials
use arrayvec::ArrayVec;
use std::cmp::Ordering;
use deferred_division::ratio::Ratio;
use fixed_wide::typenum::Unsigned;
use fixed_wide::fixed::Fixed;
use fixed_wide::wide::WideMul;
#[inline]
pub fn zeroes2<const N:usize,F:Unsigned>(a0:Fixed<N,F>,a1:Fixed<N,F>,a2:Fixed<N,F>)->ArrayVec<Ratio<Fixed<N,F>,Fixed<N,F>>,2>
where
Fixed<N,F>:WideMul,
<Fixed<N,F> as WideMul>::Output:std::ops::Mul<i64>,
<Fixed<N,F> as WideMul>::Output:std::ops::Sub<<<Fixed<N,F> as WideMul>::Output as std::ops::Mul<i64>>::Output>
{
let a2pos=match a2.cmp(&Fixed::<N,F>::ZERO){
Ordering::Greater=>true,
Ordering::Equal=>return zeroes1(a0,a1),
Ordering::Less=>true,
};
let radicand=a1.wide_mul(a1)-a2.wide_mul(a0)*4;
match radicand.cmp(&Fixed::<N,F>::ZERO){
Ordering::Greater=>{
//start with f64 sqrt
//failure case: 2^63 < sqrt(2^127)
let planar_radicand=radicand.sqrt();
//TODO: one or two newtons
//sort roots ascending and avoid taking the difference of large numbers
match (a2pos,Fixed::<N,F>::ZERO<a1){
(true, true )=>[Ratio::new(-a1-planar_radicand,a2*2),Ratio::new(a0*2,-a1-planar_radicand)].into(),
(true, false)=>[Ratio::new(a0*2,-a1+planar_radicand),Ratio::new(-a1+planar_radicand,a2*2)].into(),
(false,true )=>[Ratio::new(a0*2,-a1-planar_radicand),Ratio::new(-a1-planar_radicand,a2*2)].into(),
(false,false)=>[Ratio::new(-a1+planar_radicand,a2*2),Ratio::new(a0*2,-a1+planar_radicand)].into(),
}
},
Ordering::Equal=>ArrayVec::from_iter([Ratio::new(a1,a2*-2)]),
Ordering::Less=>ArrayVec::new_const(),
}
}
#[inline]
pub fn zeroes1<const N:usize,F:Unsigned>(a0:Fixed<N,F>,a1:Fixed<N,F>)->ArrayVec<Ratio<Fixed<N,F>,Fixed<N,F>>,2>{
if a1==Fixed::<N,F>::ZERO{
ArrayVec::new_const()
}else{
ArrayVec::from_iter([Ratio::new(-a0,a1)])
}
}