improve zeroes precision
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@ -11,10 +11,12 @@ pub fn zeroes2(a0:Planar64,a1:Planar64,a2:Planar64) -> Vec<Planar64>{
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//start with f64 sqrt
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let planar_radicand=Planar64::raw(unsafe{(radicand as f64).sqrt().to_int_unchecked()});
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//TODO: one or two newtons
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if Planar64::ZERO<a2 {
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return vec![(-a1-planar_radicand)/(a2*2),(-a1+planar_radicand)/(a2*2)];
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} else {
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return vec![(-a1+planar_radicand)/(a2*2),(-a1-planar_radicand)/(a2*2)];
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//sort roots ascending and avoid taking the difference of large numbers
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match (Planar64::ZERO<a2,Planar64::ZERO<a1){
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(true, true )=>vec![(-a1-planar_radicand)/(a2*2),(a0*2)/(-a1-planar_radicand)],
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(true, false)=>vec![(a0*2)/(-a1+planar_radicand),(-a1+planar_radicand)/(a2*2)],
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(false,true )=>vec![(a0*2)/(-a1-planar_radicand),(-a1-planar_radicand)/(a2*2)],
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(false,false)=>vec![(-a1+planar_radicand)/(a2*2),(a0*2)/(-a1+planar_radicand)],
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}
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} else if radicand==0 {
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return vec![a1/(a2*-2)];
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