from float + tests
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@ -197,6 +197,97 @@ macro_rules! impl_into_float {
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impl_into_float!(f32,u32,8,24);
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impl_into_float!(f64,u64,11,53);
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#[inline]
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fn integer_decode_f32(f: f32) -> (u64, i16, bool) {
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let bits: u32 = f.to_bits();
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let sign: bool = bits & (1<<31) != 0;
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let mut exponent: i16 = ((bits >> 23) & 0xff) as i16;
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let mantissa = if exponent == 0 {
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(bits & 0x7fffff) << 1
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} else {
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(bits & 0x7fffff) | 0x800000
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};
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// Exponent bias + mantissa shift
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exponent -= 127 + 23;
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(mantissa as u64, exponent, sign)
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}
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#[inline]
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fn integer_decode_f64(f: f64) -> (u64, i16, bool) {
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let bits: u64 = f.to_bits();
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let sign: bool = bits & (1u64<<63) != 0;
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let mut exponent: i16 = ((bits >> 52) & 0x7ff) as i16;
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let mantissa = if exponent == 0 {
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(bits & 0xfffffffffffff) << 1
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} else {
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(bits & 0xfffffffffffff) | 0x10000000000000
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};
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// Exponent bias + mantissa shift
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exponent -= 1023 + 52;
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(mantissa, exponent, sign)
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}
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#[derive(Debug,Eq,PartialEq)]
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pub enum FixedFromFloatError{
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Nan,
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Infinite,
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Overflow,
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Underflow,
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}
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impl FixedFromFloatError{
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pub fn underflow_to_zero<const N:usize,const F:usize>(self)->Result<Fixed<N,F>,Self>{
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match self{
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FixedFromFloatError::Underflow=>Ok(Fixed::ZERO),
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_=>Err(self),
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}
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}
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}
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macro_rules! impl_from_float {
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( $decode:ident, $input: ty, $mantissa_bits:expr ) => {
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impl<const N:usize,const F:usize> TryFrom<$input> for Fixed<N,F>{
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type Error=FixedFromFloatError;
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#[inline]
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fn try_from(value:$input)->Result<Self,Self::Error>{
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const DIGIT_SHIFT:u32=6;
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match value.classify(){
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std::num::FpCategory::Nan=>Err(FixedFromFloatError::Nan),
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std::num::FpCategory::Infinite=>Err(FixedFromFloatError::Infinite),
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std::num::FpCategory::Zero=>Ok(Self::ZERO),
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std::num::FpCategory::Subnormal
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|std::num::FpCategory::Normal
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=>{
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let (m,e,s)=$decode(value);
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let mut digits=[0u64;N];
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let most_significant_bit=e as i32+$mantissa_bits as i32+F as i32;
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if most_significant_bit<0{
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return Err(FixedFromFloatError::Underflow);
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}
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let digit_index=most_significant_bit>>DIGIT_SHIFT;
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let digit=digits.get_mut(digit_index as usize).ok_or(FixedFromFloatError::Overflow)?;
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let take_bits=most_significant_bit-(digit_index<<DIGIT_SHIFT);
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let rest_of_mantissa=-($mantissa_bits as i32-(take_bits as i32));
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*digit=signed_shift(m,rest_of_mantissa);
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if rest_of_mantissa<0&&digit_index!=0{
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//we don't care if some float bits are partially truncated
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if let Some(digit)=digits.get_mut((digit_index-1) as usize){
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let take_bits=most_significant_bit-((digit_index-1)<<DIGIT_SHIFT);
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let rest_of_mantissa=-($mantissa_bits as i32-(take_bits as i32));
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*digit=signed_shift(m,rest_of_mantissa);
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}
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}
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let bits=BInt::from_bits(bnum::BUint::from_digits(digits));
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Ok(if s{
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Self::from_bits(bits.overflowing_neg().0)
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}else{
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Self::from_bits(bits)
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})
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},
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}
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}
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}
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}
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}
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impl_from_float!(integer_decode_f32,f32,24);
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impl_from_float!(integer_decode_f64,f64,53);
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impl<const N:usize,const F:usize> core::fmt::Display for Fixed<N,F>{
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#[inline]
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fn fmt(&self,f:&mut core::fmt::Formatter)->Result<(),core::fmt::Error>{
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@ -37,6 +37,59 @@ fn to_f64(){
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assert_eq!(f,237946589723468975f64*2.0f64.powi(16));
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}
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#[test]
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fn from_f32(){
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let a=I256F256::from(1)>>2;
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let b:Result<I256F256,_>=0.25f32.try_into();
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assert_eq!(b,Ok(a));
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let a=I256F256::from(-1)>>2;
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let b:Result<I256F256,_>=(-0.25f32).try_into();
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assert_eq!(b,Ok(a));
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let a=I256F256::from(0);
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let b:Result<I256F256,_>=0.try_into();
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assert_eq!(b,Ok(a));
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let a=I256F256::from(0b101011110101001010101010000000000000000000000000000i64)<<16;
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let b:Result<I256F256,_>=(0b101011110101001010101010000000000000000000000000000u64 as f32*2.0f32.powi(16)).try_into();
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assert_eq!(b,Ok(a));
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//I32F32::MAX into f32 is truncated into this value
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let a=I32F32::raw(0b111111111111111111111111000000000000000000000000000000000000000i64);
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let b:Result<I32F32,_>=Into::<f32>::into(I32F32::MAX).try_into();
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assert_eq!(b,Ok(a));
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//I32F32::MIN hits a special case since it's not representable as a positive signed integer
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//TODO: don't return an overflow because this is technically possible
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let a=I32F32::MIN;
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let b:Result<I32F32,_>=Into::<f32>::into(I32F32::MIN).try_into();
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assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Overflow));
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//16 is within the 24 bits of float precision
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let b:Result<I32F32,_>=Into::<f32>::into(-I32F32::MIN.fix_2()).try_into();
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assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Overflow));
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let b:Result<I32F32,_>=f32::MIN_POSITIVE.try_into();
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assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Underflow));
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//test many cases
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for i in 0..64{
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let a=crate::fixed::Fixed::<2,64>::raw_digit(0b111111111111111111111111000000000000000000000000000000000000000i64)<<i;
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let f:f32=a.into();
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let b:Result<crate::fixed::Fixed<2,64>,_>=f.try_into();
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assert_eq!(b,Ok(a));
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}
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}
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#[test]
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fn from_f64(){
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let a=I256F256::from(1)>>2;
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let b:Result<I256F256,_>=0.25f64.try_into();
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assert_eq!(b,Ok(a));
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let a=I256F256::from(-1)>>2;
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let b:Result<I256F256,_>=(-0.25f64).try_into();
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assert_eq!(b,Ok(a));
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let a=I256F256::from(0);
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let b:Result<I256F256,_>=0.try_into();
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assert_eq!(b,Ok(a));
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let a=I256F256::from(0b101011110101001010101010000000000000000000000000000i64)<<16;
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let b:Result<I256F256,_>=(0b101011110101001010101010000000000000000000000000000u64 as f64*2.0f64.powi(16)).try_into();
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assert_eq!(b,Ok(a));
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}
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#[test]
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fn you_can_shr_numbers(){
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let a=I32F32::from(4);
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