test more
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@ -12,6 +12,8 @@ impl<const CHUNKS:usize,Frac:Unsigned> Fixed<CHUNKS,Frac>{
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pub const MAX:Self=Self{bits:BInt::<CHUNKS>::MAX,frac:PhantomData};
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pub const MIN:Self=Self{bits:BInt::<CHUNKS>::MIN,frac:PhantomData};
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pub const ZERO:Self=Self{bits:BInt::<CHUNKS>::ZERO,frac:PhantomData};
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pub const EPSILON:Self=Self{bits:BInt::<CHUNKS>::ONE,frac:PhantomData};
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pub const NEG_EPSILON:Self=Self{bits:BInt::<CHUNKS>::NEG_ONE,frac:PhantomData};
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pub const ONE:Self=Self{bits:BInt::<CHUNKS>::ONE.shl(Frac::U32),frac:PhantomData};
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pub const TWO:Self=Self{bits:BInt::<CHUNKS>::TWO.shl(Frac::U32),frac:PhantomData};
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pub const HALF:Self=Self{bits:BInt::<CHUNKS>::ONE.shl(Frac::U32-1),frac:PhantomData};
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@ -31,16 +31,26 @@ fn find_equiv_sqrt_via_f64(n:I32F32)->I32F32{
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let ibits=bits as i64;
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let f=(ibits as f64)/((1u64<<32) as f64);
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let f_ans=f.sqrt();
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let mut i=(f_ans*((1u64<<32) as f64)) as i64;
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let s=(i as i128)*(i as i128);
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if s<((ibits as i128)<<32){
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i+=1;
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let i=(f_ans*((1u64<<32) as f64)) as i64;
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let r=I32F32::from_bits(bnum::BInt::<1>::from(i));
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//mimic the behaviour of the algorithm,
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//return the result if it truncates to the exact answer
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if (r+I32F32::EPSILON)*(r+I32F32::EPSILON)==n{
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return r+I32F32::EPSILON;
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}
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I32F32::from_bits(bnum::BInt::<1>::from(i))
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if (r-I32F32::EPSILON)*(r-I32F32::EPSILON)==n{
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return r-I32F32::EPSILON;
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}
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return r;
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}
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fn test_exact(n:I32F32){
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assert_eq!(n.sqrt(),find_equiv_sqrt_via_f64(n));
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}
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#[test]
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fn test_sqrt_exact(){
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let a=I32F32::ONE*2;
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let b=find_equiv_sqrt_via_f64(a);
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assert_eq!(a.sqrt(),b);
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//43
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for i in 0..((i64::MAX as f32).ln() as u32){
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let n=I32F32::from_bits(bnum::BInt::<1>::from((i as f32).exp() as i64));
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test_exact(n);
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}
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}
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