div_euclid

verified that this loop unrolls on compiler explorer

deferred_division/Cargo.toml

@@ -1,14 +0,0 @@
-[package]
-name = "deferred_division"
-version = "0.1.0"
-edition = "2021"
-
-[features]
-default=["fixed_wide_traits"]
-fixed_wide_traits=["dep:fixed_wide_traits"]
-
-[dependencies]
-fixed_wide_traits = { version = "0.1.0", path = "../fixed_wide_traits", optional = true }
-
-[dev-dependencies]
-fixed_wide = { version = "0.1.0", path = "../fixed_wide" }

deferred_division/src/lib.rs

@@ -1,8 +0,0 @@
-pub mod ratio;
-
-
-#[cfg(feature="fixed_wide_traits")]
-mod wide;
-
-#[cfg(test)]
-mod tests;

deferred_division/src/ratio.rs

@@ -1,157 +0,0 @@
-use std::ops::Mul;
-
-#[derive(Clone,Copy,Debug,Hash)]
-pub struct Ratio<Num,Den>{
-	pub(crate)num:Num,
-	pub(crate)den:Den,
-}
-impl<Num,Den> Ratio<Num,Den>{
-	pub const fn new(num:Num,den:Den)->Self{
-		Self{num,den}
-	}
-}
-
-impl<Num,Den,Rhs> PartialEq<Rhs> for Ratio<Num,Den>
-	where
-		Den:Copy,
-		Rhs:Mul<Den>+Copy,
-		Num:PartialEq<<Rhs as Mul<Den>>::Output>
-{
-	fn eq(&self,rhs:&Rhs)->bool{
-		self.num.eq(&rhs.mul(self.den))
-	}
-}
-/*
-//You can't do Ratio==Ratio I guess
-impl<Num,Den> Eq for Ratio<Num,Den>
-where
-		Num:Mul<Den>,
-		<Num as Mul<Den>>::Output:PartialEq
-{}
-*/
-
-// num/den == rhs
-// num == rhs * den
-
-impl<Num,Den,Rhs> PartialOrd<Rhs> for Ratio<Num,Den>
-	where
-		Den:Copy,
-		Rhs:Mul<Den>+Copy,
-		Num:PartialOrd<<Rhs as Mul<Den>>::Output>
-{
-	fn partial_cmp(&self,rhs:&Rhs)->Option<std::cmp::Ordering>{
-		self.num.partial_cmp(&rhs.mul(self.den))
-	}
-}
-/*
-impl<Den,Rhs> Ord for Ratio<<Rhs as Mul<Den>>::Output,Den>
-where
-		Rhs:Mul<Den>,
-		Rhs:Ord,
-		<Rhs as Mul<Den>>::Output:Ord,
-{
-	fn cmp(&self,other:&Rhs)->std::cmp::Ordering{
-		self.num.cmp(&other.mul(self.den))
-	}
-}
-*/
-
-impl<NewNum,Num:std::ops::Neg<Output=NewNum>,Den> std::ops::Neg for Ratio<Num,Den>{
-	type Output=Ratio<NewNum,Den>;
-	fn neg(self)->Self::Output{
-		Ratio{
-			num:self.num.neg(),
-			den:self.den,
-		}
-	}
-}
-
-// num/den + rhs == new_num/den
-// new_num = num + rhs * den
-
-macro_rules! impl_operator {
-	($struct:ident,$trait:ident,$method:ident)=>{
-		impl<Num,Den,Rhs> core::ops::$trait<Rhs> for $struct<Num,Den>
-			where
-				Den:Copy,
-				Rhs:Mul<Den>,
-				Num:core::ops::$trait<<Rhs as Mul<Den>>::Output>,
-		{
-			type Output=$struct<<Num as core::ops::$trait<<Rhs as Mul<Den>>::Output>>::Output,Den>;
-
-			fn $method(self,rhs:Rhs)->Self::Output{
-				$struct{
-					num:self.num.$method(rhs.mul(self.den)),
-					den:self.den,
-				}
-			}
-		}
-	};
-}
-macro_rules! impl_assign_operator{
-	($struct:ident,$trait:ident,$method:ident)=>{
-		impl<Num,Den,Rhs> core::ops::$trait<Rhs> for $struct<Num,Den>
-			where
-				Den:Copy,
-				Rhs:Mul<Den>,
-				Num:core::ops::$trait<<Rhs as Mul<Den>>::Output>,
-		{
-			fn $method(&mut self,rhs:Rhs){
-				self.num.$method(rhs.mul(self.den));
-			}
-		}
-	};
-}
-
-// Impl arithmetic operators
-impl_assign_operator!(Ratio,AddAssign,add_assign);
-impl_operator!(Ratio,Add,add);
-impl_assign_operator!(Ratio,SubAssign,sub_assign);
-impl_operator!(Ratio,Sub,sub);
-// num/den % rhs == new_num/den
-// new_num = num % (rhs * den)
-impl_assign_operator!(Ratio,RemAssign,rem_assign);
-impl_operator!(Ratio,Rem,rem);
-
-//mul and div is special
-impl<Num,Den,Rhs> Mul<Rhs> for Ratio<Num,Den>
-	where
-		Num:Mul<Rhs>,
-{
-	type Output=Ratio<<Num as Mul<Rhs>>::Output,Den>;
-	fn mul(self,rhs:Rhs)->Self::Output{
-		Ratio{
-			num:self.num.mul(rhs),
-			den:self.den,
-		}
-	}
-}
-impl<Num,Den,Rhs> core::ops::MulAssign<Rhs> for Ratio<Num,Den>
-	where
-		Num:core::ops::MulAssign<Rhs>,
-{
-	fn mul_assign(&mut self,rhs:Rhs){
-		self.num.mul_assign(rhs);
-	}
-}
-
-impl<Num,Den,Rhs> core::ops::Div<Rhs> for Ratio<Num,Den>
-	where
-		Den:Mul<Rhs>,
-{
-	type Output=Ratio<Num,<Den as Mul<Rhs>>::Output>;
-	fn div(self,rhs:Rhs)->Self::Output{
-		Ratio{
-			num:self.num,
-			den:self.den.mul(rhs),
-		}
-	}
-}
-impl<Num,Den,Rhs> core::ops::DivAssign<Rhs> for Ratio<Num,Den>
-	where
-		Den:core::ops::MulAssign<Rhs>,
-{
-	fn div_assign(&mut self,rhs:Rhs){
-		self.den.mul_assign(rhs);
-	}
-}

deferred_division/src/tests/mod.rs

@@ -1,4 +0,0 @@
-mod tests;
-
-#[cfg(feature="fixed_wide_traits")]
-mod wide;

deferred_division/src/tests/tests.rs

@@ -1,22 +0,0 @@
-use crate::ratio::Ratio;
-
-#[test]
-fn ratio(){
-	let r=Ratio::new(5,3);
-	let a=r%1;
-	assert_eq!(a.num,2);
-	assert_eq!(a.den,3);
-	let b=r*2;
-	assert_eq!(b.num,10);
-	assert_eq!(b.den,3);
-	let c=r/2;
-	assert_eq!(c.num,5);
-	assert_eq!(c.den,6);
-}
-
-#[test]
-fn add_ratio_cmp(){
-	let a=Ratio::new(5,3);
-	let b=Ratio::new(1,3);
-	assert_eq!(a+b,2);
-}

deferred_division/src/tests/wide.rs

@@ -1,15 +0,0 @@
-use crate::ratio::Ratio;
-use fixed_wide_traits::wide::{WideMul,WideDiv};
-use fixed_wide::types::I32F32;
-use fixed_wide::types::I64F64;
-
-#[test]
-fn ratio(){
-	let r=Ratio::new(I32F32::from(5),I32F32::from(3));
-	let a=r.wide_mul(I32F32::from(7)>>2);
-	assert_eq!(a.num,I64F64::from(7*5)>>2);
-	assert_eq!(a.den,I32F32::from(3));
-	let a=r.wide_div(I32F32::from(7)>>2);
-	assert_eq!(a.num,I32F32::from(5));
-	assert_eq!(a.den,I64F64::from(3*7)>>2);
-}

deferred_division/src/wide.rs

@@ -1,58 +0,0 @@
-use std::ops::{Add,Mul};
-use crate::ratio::Ratio;
-use fixed_wide_traits::wide::{WideMul,WideDiv,WideDot,WideCross};
-
-impl<Num,Den:Copy> Ratio<Num,Den>
-{
-	pub fn rational_add<T>(self,rhs:T)->Ratio<<Num as Add<<Den as Mul<T>>::Output>>::Output,Den>
-		where
-			Den:Mul<T>,
-			Num:Add<<Den as Mul<T>>::Output>,
-	{
-		Ratio{
-			num:self.num+self.den.mul(rhs),
-			den:self.den,
-		}
-	}
-	pub fn wide_rational_add<T>(self,rhs:T)->Ratio<<Num as Add<<Den as WideMul<T>>::Output>>::Output,Den>
-		where
-			Den:WideMul<T>,
-			Num:Add<<Den as WideMul<T>>::Output>,
-	{
-		Ratio{
-			num:self.num+self.den.wide_mul(rhs),
-			den:self.den,
-		}
-	}
-}
-macro_rules! impl_mul_operator {
-	($struct:ident,$trait:ident,$method:ident)=>{
-		impl<Num,Den,Rhs> $trait<Rhs> for $struct<Num,Den>
-			where
-				Num:$trait<Rhs>,
-		{
-			type Output=$struct<<Num as $trait<Rhs>>::Output,Den>;
-			fn $method(self,rhs:Rhs)->Self::Output{
-				$struct{
-					num:self.num.$method(rhs),
-					den:self.den,
-				}
-			}
-		}
-	}
-}
-impl_mul_operator!(Ratio,WideMul,wide_mul);
-impl_mul_operator!(Ratio,WideDot,wide_dot);
-impl_mul_operator!(Ratio,WideCross,wide_cross);
-impl<Num,Den,T> WideDiv<T> for Ratio<Num,Den>
-	where
-		Den:WideMul<T>,
-{
-	type Output=Ratio<Num,<Den as WideMul<T>>::Output>;
-	fn wide_div(self,rhs:T)->Ratio<Num,<Den as WideMul<T>>::Output>{
-		Ratio{
-			num:self.num,
-			den:self.den.wide_mul(rhs),
-		}
-	}
-}

fixed_wide/Cargo.lock

@@ -3,26 +3,33 @@
 version = 3
 
 [[package]]
-name = "bnum"
-version = "0.11.0"
+name = "arrayvec"
+version = "0.7.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3e31ea183f6ee62ac8b8a8cf7feddd766317adfb13ff469de57ce033efd6a790"
+checksum = "7c02d123df017efcdfbd739ef81735b36c5ba83ec3c59c80a9d7ecc718f92e50"
+
+[[package]]
+name = "bnum"
+version = "0.12.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "50202def95bf36cb7d1d7a7962cea1c36a3f8ad42425e5d2b71d7acb8041b5b8"
 
 [[package]]
 name = "fixed_wide"
-version = "0.1.0"
+version = "0.1.1"
 dependencies = [
+ "arrayvec",
  "bnum",
- "fixed_wide_traits",
- "typenum",
+ "paste",
+ "ratio_ops",
 ]
 
 [[package]]
-name = "fixed_wide_traits"
-version = "0.1.0"
+name = "paste"
+version = "1.0.15"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "57c0d7b74b563b49d38dae00a0c37d4d6de9b432382b2892f0574ddcae73fd0a"
 
 [[package]]
-name = "typenum"
-version = "1.17.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"
+name = "ratio_ops"
+version = "0.1.0"

fixed_wide/Cargo.toml

@@ -1,13 +1,20 @@
 [package]
 name = "fixed_wide"
-version = "0.1.0"
+version = "0.1.1"
 edition = "2021"
+repository = "https://git.itzana.me/StrafesNET/fixed_wide_vectors"
+license = "MIT OR Apache-2.0"
+description = "Fixed point numbers with optional widening Mul operator."
+authors = ["Rhys Lloyd <krakow20@gmail.com>"]
 
 [features]
-default=["fixed_wide_traits"]
-fixed_wide_traits=["dep:fixed_wide_traits"]
+default=[]
+deferred-division=["dep:ratio_ops"]
+wide-mul=[]
+zeroes=["dep:arrayvec"]
 
 [dependencies]
-bnum = "0.11.0"
-typenum = "1.17.0"
-fixed_wide_traits = { version = "0.1.0", path = "../fixed_wide_traits", optional = true }
+bnum = "0.12.0"
+arrayvec = { version = "0.7.6", optional = true }
+paste = "1.0.15"
+ratio_ops = { version = "0.1.0", path = "../ratio_ops", registry = "strafesnet", optional = true }

fixed_wide/src/fixed.rs

@@ -1,111 +1,343 @@
 use bnum::{BInt,cast::As};
-use typenum::Unsigned;
 
-#[derive(Clone,Copy,Debug,Hash)]
-pub struct Fixed<const CHUNKS:usize,Frac>{
-	pub(crate)bits:BInt<{CHUNKS}>,
-	pub(crate)frac:std::marker::PhantomData<Frac>,
+#[derive(Clone,Copy,Debug,Default,Hash)]
+/// A Fixed point number for which multiply operations widen the bits in the output. (when the wide-mul feature is enabled)
+/// N is the number of u64s to use
+/// F is the number of fractional bits (always N*32 lol)
+pub struct Fixed<const N:usize,const F:usize>{
+	pub(crate)bits:BInt<{N}>,
 }
 
-impl<const CHUNKS:usize,Frac:Unsigned> Fixed<CHUNKS,Frac>{
-	pub const MAX:Self=Self::from_bits(BInt::<CHUNKS>::MAX);
-	pub const MIN:Self=Self::from_bits(BInt::<CHUNKS>::MIN);
-	pub const ZERO:Self=Self::from_bits(BInt::<CHUNKS>::ZERO);
-	pub const EPSILON:Self=Self::from_bits(BInt::<CHUNKS>::ONE);
-	pub const NEG_EPSILON:Self=Self::from_bits(BInt::<CHUNKS>::NEG_ONE);
-	pub const ONE:Self=Self::from_bits(BInt::<CHUNKS>::ONE.shl(Frac::U32));
-	pub const TWO:Self=Self::from_bits(BInt::<CHUNKS>::TWO.shl(Frac::U32));
-	pub const HALF:Self=Self::from_bits(BInt::<CHUNKS>::ONE.shl(Frac::U32-1));
-	pub const NEG_ONE:Self=Self::from_bits(BInt::<CHUNKS>::NEG_ONE.shl(Frac::U32));
-	pub const NEG_TWO:Self=Self::from_bits(BInt::<CHUNKS>::NEG_TWO.shl(Frac::U32));
-	pub const NEG_HALF:Self=Self::from_bits(BInt::<CHUNKS>::NEG_ONE.shl(Frac::U32-1));
+impl<const N:usize,const F:usize> Fixed<N,F>{
+	pub const MAX:Self=Self::from_bits(BInt::<N>::MAX);
+	pub const MIN:Self=Self::from_bits(BInt::<N>::MIN);
+	pub const ZERO:Self=Self::from_bits(BInt::<N>::ZERO);
+	pub const EPSILON:Self=Self::from_bits(BInt::<N>::ONE);
+	pub const NEG_EPSILON:Self=Self::from_bits(BInt::<N>::NEG_ONE);
+	pub const ONE:Self=Self::from_bits(BInt::<N>::ONE.shl(F as u32));
+	pub const TWO:Self=Self::from_bits(BInt::<N>::TWO.shl(F as u32));
+	pub const HALF:Self=Self::from_bits(BInt::<N>::ONE.shl(F as u32-1));
+	pub const NEG_ONE:Self=Self::from_bits(BInt::<N>::NEG_ONE.shl(F as u32));
+	pub const NEG_TWO:Self=Self::from_bits(BInt::<N>::NEG_TWO.shl(F as u32));
+	pub const NEG_HALF:Self=Self::from_bits(BInt::<N>::NEG_ONE.shl(F as u32-1));
 }
-impl<const CHUNKS:usize,Frac> Fixed<CHUNKS,Frac>{
+impl<const N:usize,const F:usize> Fixed<N,F>{
 	#[inline]
-	pub const fn from_bits(bits:BInt::<CHUNKS>)->Self{
+	pub const fn from_bits(bits:BInt::<N>)->Self{
 		Self{
 			bits,
-			frac:std::marker::PhantomData,
 		}
 	}
 	#[inline]
-	pub const fn to_bits(self)->BInt<CHUNKS>{
+	pub const fn to_bits(self)->BInt<N>{
 		self.bits
 	}
 	#[inline]
+	pub const fn raw_digit(value:i64)->Self{
+		let mut digits=[0u64;N];
+		digits[0]=value.abs() as u64;
+		//sign bit
+		digits[N-1]|=(value&i64::MIN) as u64;
+		Self::from_bits(BInt::from_bits(bnum::BUint::from_digits(digits)))
+	}
+	#[inline]
+	pub const fn is_zero(self)->bool{
+		self.bits.is_zero()
+	}
+	#[inline]
+	pub const fn is_negative(self)->bool{
+		self.bits.is_negative()
+	}
+	#[inline]
+	pub const fn is_positive(self)->bool{
+		self.bits.is_positive()
+	}
+	#[inline]
+	pub const fn abs(self)->Self{
+		Self::from_bits(self.bits.abs())
+	}
+}
+impl<const F:usize> Fixed<1,F>{
+	/// My old code called this function everywhere so let's provide it
+	#[inline]
 	pub const fn raw(value:i64)->Self{
 		Self::from_bits(BInt::from_bits(bnum::BUint::from_digit(value as u64)))
 	}
-}
-
-impl<const CHUNKS:usize,Frac:Unsigned,T> From<T> for Fixed<CHUNKS,Frac>
-	where
-		BInt<CHUNKS>:From<T>
-{
-	fn from(value:T)->Self{
-		Self::from_bits(BInt::<{CHUNKS}>::from(value)<<Frac::U32)
+	#[inline]
+	pub const fn to_raw(self)->i64{
+		let &[digit]=self.to_bits().to_bits().digits();
+		digit as i64
 	}
 }
 
-impl<const CHUNKS:usize,Frac> PartialEq for Fixed<CHUNKS,Frac>{
+macro_rules! impl_from {
+	($($from:ty),*)=>{
+		$(
+		impl<const N:usize,const F:usize> From<$from> for Fixed<N,F>{
+			#[inline]
+			fn from(value:$from)->Self{
+				Self::from_bits(BInt::<{N}>::from(value)<<F as u32)
+			}
+		}
+		)*
+	};
+}
+impl_from!(
+	u8,u16,u32,u64,u128,usize,
+	i8,i16,i32,i64,i128,isize
+);
+
+impl<const N:usize,const F:usize> PartialEq for Fixed<N,F>{
+	#[inline]
 	fn eq(&self,other:&Self)->bool{
 		self.bits.eq(&other.bits)
 	}
 }
-impl<const CHUNKS:usize,Frac> Eq for Fixed<CHUNKS,Frac>{}
+impl<const N:usize,const F:usize,T> PartialEq<T> for Fixed<N,F>
+where
+		T:Copy,
+		BInt::<N>:From<T>,
+{
+	#[inline]
+	fn eq(&self,&other:&T)->bool{
+		self.bits.eq(&other.into())
+	}
+}
+impl<const N:usize,const F:usize> Eq for Fixed<N,F>{}
 
-impl<const CHUNKS:usize,Frac> PartialOrd for Fixed<CHUNKS,Frac>{
+impl<const N:usize,const F:usize> PartialOrd for Fixed<N,F>{
+	#[inline]
 	fn partial_cmp(&self,other:&Self)->Option<std::cmp::Ordering>{
 		self.bits.partial_cmp(&other.bits)
 	}
 }
-impl<const CHUNKS:usize,Frac> Ord for Fixed<CHUNKS,Frac>{
+impl<const N:usize,const F:usize,T> PartialOrd<T> for Fixed<N,F>
+	where
+		T:Copy,
+		BInt::<N>:From<T>,
+{
+	#[inline]
+	fn partial_cmp(&self,&other:&T)->Option<std::cmp::Ordering>{
+		self.bits.partial_cmp(&other.into())
+	}
+}
+impl<const N:usize,const F:usize> Ord for Fixed<N,F>{
+	#[inline]
 	fn cmp(&self,other:&Self)->std::cmp::Ordering{
 		self.bits.cmp(&other.bits)
 	}
 }
 
-impl<const CHUNKS:usize,Frac> std::ops::Neg for Fixed<CHUNKS,Frac>{
+impl<const N:usize,const F:usize> std::ops::Neg for Fixed<N,F>{
 	type Output=Self;
+	#[inline]
 	fn neg(self)->Self{
 		Self::from_bits(self.bits.neg())
 	}
 }
+impl<const N:usize,const F:usize> std::iter::Sum for Fixed<N,F>{
+	#[inline]
+	fn sum<I:Iterator<Item=Self>>(iter:I)->Self{
+		let mut sum=Self::ZERO;
+		for elem in iter{
+			sum+=elem;
+		}
+		sum
+	}
+}
+
+const fn signed_shift(lhs:u64,rhs:i32)->u64{
+	if rhs.is_negative(){
+		lhs>>-rhs
+	}else{
+		lhs<<rhs
+	}
+}
+macro_rules! impl_into_float {
+	( $output: ty, $unsigned:ty, $exponent_bits:expr, $mantissa_bits:expr ) => {
+		impl<const N:usize,const F:usize> Into<$output> for Fixed<N,F>{
+			#[inline]
+			fn into(self)->$output{
+				const DIGIT_SHIFT:u32=6;//Log2[64]
+				// SBBB BBBB
+				// 1001 1110 0000 0000
+				let sign=if self.bits.is_negative(){(1 as $unsigned)<<(<$unsigned>::BITS-1)}else{0};
+				let unsigned=self.bits.unsigned_abs();
+				let most_significant_bit=unsigned.bits();
+				let exp=if unsigned.is_zero(){
+					0
+				}else{
+					let msb=most_significant_bit as $unsigned;
+					let _127=((1 as $unsigned)<<($exponent_bits-1))-1;
+					let msb_offset=msb+_127-1-F as $unsigned;
+					msb_offset<<($mantissa_bits-1)
+				};
+				let digits=unsigned.digits();
+				let digit_index=most_significant_bit.saturating_sub(1)>>DIGIT_SHIFT;
+				let digit=digits[digit_index as usize];
+				//How many bits does the mantissa take from this digit
+				let take_bits=most_significant_bit-(digit_index<<DIGIT_SHIFT);
+				let rest_of_mantissa=$mantissa_bits as i32-(take_bits as i32);
+				let mut unmasked_mant=signed_shift(digit,rest_of_mantissa) as $unsigned;
+				if 0<rest_of_mantissa&&digit_index!=0{
+					//take the next digit down and shove some of its bits onto the bottom of the mantissa
+					let digit=digits[digit_index as usize-1];
+					let take_bits=most_significant_bit-((digit_index-1)<<DIGIT_SHIFT);
+					let rest_of_mantissa=$mantissa_bits as i32-(take_bits as i32);
+					let unmasked_mant2=signed_shift(digit,rest_of_mantissa) as $unsigned;
+					unmasked_mant|=unmasked_mant2;
+				}
+				let mant=unmasked_mant&((1 as $unsigned)<<($mantissa_bits-1))-1;
+				let bits=sign|exp|mant;
+				<$output>::from_bits(bits)
+			}
+		}
+	}
+}
+impl_into_float!(f32,u32,8,24);
+impl_into_float!(f64,u64,11,53);
+
+#[inline]
+fn integer_decode_f32(f: f32) -> (u64, i16, bool) {
+	let bits: u32 = f.to_bits();
+	let sign: bool = bits & (1<<31) != 0;
+	let mut exponent: i16 = ((bits >> 23) & 0xff) as i16;
+	let mantissa = if exponent == 0 {
+		(bits & 0x7fffff) << 1
+	} else {
+		(bits & 0x7fffff) | 0x800000
+	};
+	// Exponent bias + mantissa shift
+	exponent -= 127 + 23;
+	(mantissa as u64, exponent, sign)
+}
+#[inline]
+fn integer_decode_f64(f: f64) -> (u64, i16, bool) {
+	let bits: u64 = f.to_bits();
+	let sign: bool = bits & (1u64<<63) != 0;
+	let mut exponent: i16 = ((bits >> 52) & 0x7ff) as i16;
+	let mantissa = if exponent == 0 {
+		(bits & 0xfffffffffffff) << 1
+	} else {
+		(bits & 0xfffffffffffff) | 0x10000000000000
+	};
+	// Exponent bias + mantissa shift
+	exponent -= 1023 + 52;
+	(mantissa, exponent, sign)
+}
+#[derive(Debug,Eq,PartialEq)]
+pub enum FixedFromFloatError{
+	Nan,
+	Infinite,
+	Overflow,
+	Underflow,
+}
+impl FixedFromFloatError{
+	pub fn underflow_to_zero<const N:usize,const F:usize>(self)->Result<Fixed<N,F>,Self>{
+		match self{
+			FixedFromFloatError::Underflow=>Ok(Fixed::ZERO),
+			_=>Err(self),
+		}
+	}
+}
+macro_rules! impl_from_float {
+	( $decode:ident, $input: ty, $mantissa_bits:expr ) => {
+		impl<const N:usize,const F:usize> TryFrom<$input> for Fixed<N,F>{
+			type Error=FixedFromFloatError;
+			#[inline]
+			fn try_from(value:$input)->Result<Self,Self::Error>{
+				const DIGIT_SHIFT:u32=6;
+				match value.classify(){
+					std::num::FpCategory::Nan=>Err(FixedFromFloatError::Nan),
+					std::num::FpCategory::Infinite=>Err(FixedFromFloatError::Infinite),
+					std::num::FpCategory::Zero=>Ok(Self::ZERO),
+					std::num::FpCategory::Subnormal
+					|std::num::FpCategory::Normal
+					=>{
+						let (m,e,s)=$decode(value);
+						let mut digits=[0u64;N];
+						let most_significant_bit=e as i32+$mantissa_bits as i32+F as i32;
+						if most_significant_bit<0{
+							return Err(FixedFromFloatError::Underflow);
+						}
+						let digit_index=most_significant_bit>>DIGIT_SHIFT;
+						let digit=digits.get_mut(digit_index as usize).ok_or(FixedFromFloatError::Overflow)?;
+						let take_bits=most_significant_bit-(digit_index<<DIGIT_SHIFT);
+						let rest_of_mantissa=-($mantissa_bits as i32-(take_bits as i32));
+						*digit=signed_shift(m,rest_of_mantissa);
+						if rest_of_mantissa<0&&digit_index!=0{
+							//we don't care if some float bits are partially truncated
+							if let Some(digit)=digits.get_mut((digit_index-1) as usize){
+								let take_bits=most_significant_bit-((digit_index-1)<<DIGIT_SHIFT);
+								let rest_of_mantissa=-($mantissa_bits as i32-(take_bits as i32));
+								*digit=signed_shift(m,rest_of_mantissa);
+							}
+						}
+						let bits=BInt::from_bits(bnum::BUint::from_digits(digits));
+						Ok(if s{
+							Self::from_bits(bits.overflowing_neg().0)
+						}else{
+							Self::from_bits(bits)
+						})
+					},
+				}
+			}
+		}
+	}
+}
+impl_from_float!(integer_decode_f32,f32,24);
+impl_from_float!(integer_decode_f64,f64,53);
+
+impl<const N:usize,const F:usize> core::fmt::Display for Fixed<N,F>{
+	#[inline]
+	fn fmt(&self,f:&mut core::fmt::Formatter)->Result<(),core::fmt::Error>{
+		let float:f32=(*self).into();
+		core::write!(f,"{:.3}",float)
+	}
+}
 
 macro_rules! impl_additive_operator {
 	( $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
-		impl<const CHUNKS:usize,Frac> core::ops::$trait for $struct<CHUNKS,Frac>{
-			type Output = $output;
-
-			fn $method(self, other: Self) -> Self::Output {
+		impl<const N:usize,const F:usize> $struct<N,F>{
+			#[inline]
+			pub const fn $method(self, other: Self) -> Self {
 				Self::from_bits(self.bits.$method(other.bits))
 			}
 		}
-		impl<const CHUNKS:usize,Frac:Unsigned,U> core::ops::$trait<U> for $struct<CHUNKS,Frac>
+		impl<const N:usize,const F:usize> core::ops::$trait for $struct<N,F>{
+			type Output = $output;
+			#[inline]
+			fn $method(self, other: Self) -> Self::Output {
+				self.$method(other)
+			}
+		}
+		impl<const N:usize,const F:usize,U> core::ops::$trait<U> for $struct<N,F>
 			where
-				BInt::<CHUNKS>:From<U>,
+				BInt::<N>:From<U>,
 		{
 			type Output = $output;
-
+			#[inline]
 			fn $method(self, other: U) -> Self::Output {
-				Self::from_bits(self.bits.$method(BInt::<CHUNKS>::from(other)<<Frac::U32))
+				Self::from_bits(self.bits.$method(BInt::<N>::from(other).shl(F as u32)))
 			}
 		}
 	};
 }
 macro_rules! impl_additive_assign_operator {
 	( $struct: ident, $trait: ident, $method: ident ) => {
-		impl<const CHUNKS:usize,Frac> core::ops::$trait for $struct<CHUNKS,Frac>{
+		impl<const N:usize,const F:usize> core::ops::$trait for $struct<N,F>{
+			#[inline]
 			fn $method(&mut self, other: Self) {
 				self.bits.$method(other.bits);
 			}
 		}
-		impl<const CHUNKS:usize,Frac:Unsigned,U> core::ops::$trait<U> for $struct<CHUNKS,Frac>
+		impl<const N:usize,const F:usize,U> core::ops::$trait<U> for $struct<N,F>
 		where
-				BInt::<CHUNKS>:From<U>,
+				BInt::<N>:From<U>,
 		{
+			#[inline]
 			fn $method(&mut self, other: U) {
-				self.bits.$method(BInt::<CHUNKS>::from(other)<<Frac::U32);
+				self.bits.$method(BInt::<N>::from(other).shl(F as u32));
 			}
 		}
 	};
@@ -127,137 +359,165 @@ impl_additive_operator!( Fixed, BitOr, bitor, Self );
 impl_additive_assign_operator!( Fixed, BitXorAssign, bitxor_assign );
 impl_additive_operator!( Fixed, BitXor, bitxor, Self );
 
-macro_rules! impl_multiply_operator_const {
-	( $width:expr, $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
-		impl<Frac:Unsigned> core::ops::$trait for $struct<$width,Frac>{
-			type Output = $output;
+// non-wide operators.  The result is the same width as the inputs.
 
+// This macro is not used in the default configuration.
+#[allow(unused_macros)]
+macro_rules! impl_multiplicative_operator_not_const_generic {
+	( ($struct: ident, $trait: ident, $method: ident, $output: ty ), $width:expr ) => {
+		impl<const F:usize> core::ops::$trait for $struct<$width,F>{
+			type Output = $output;
+			#[inline]
 			fn $method(self, other: Self) -> Self::Output {
-				//this can be done better but that is a job for later
-				let lhs=self.bits.as_::<BInt::<{$width*2}>>();
-				let rhs=other.bits.as_::<BInt::<{$width*2}>>();
-				Self::from_bits(lhs.mul(rhs).shr(Frac::U32).as_())
+				paste::item!{
+				self.[<fixed_ $method>](other)
+				}
 			}
 		}
 	};
 }
-macro_rules! impl_multiply_assign_operator_const {
-	( $width:expr, $struct: ident, $trait: ident, $method: ident ) => {
-		impl<Frac> core::ops::$trait for $struct<$width,Frac>{
+macro_rules! impl_multiplicative_assign_operator_not_const_generic {
+	( ($struct: ident, $trait: ident, $method: ident, $non_assign_method: ident ), $width:expr ) => {
+		impl<const F:usize> core::ops::$trait for $struct<$width,F>{
+			#[inline]
 			fn $method(&mut self, other: Self) {
-				self.bits.$method(other.bits);
+				paste::item!{
+				*self=self.[<fixed_ $non_assign_method>](other);
+				}
 			}
 		}
 	};
 }
 
-macro_rules! impl_divide_operator_const {
-	( $width:expr, $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
-		impl<Frac:Unsigned> core::ops::$trait for $struct<$width,Frac>{
-			type Output = $output;
-
-			fn $method(self, other: Self) -> Self::Output {
-				//this can be done better but that is a job for later
-				//this only needs to be $width+Frac::U32/64+1 but MUH CONST GENERICS!!!!!
-				let lhs=self.bits.as_::<BInt::<{$width*2}>>().shl(Frac::U32);
-				let rhs=other.bits.as_::<BInt::<{$width*2}>>();
-				Self::from_bits(lhs.div(rhs).as_())
+macro_rules! impl_multiply_operator_not_const_generic {
+	( ($struct: ident, $trait: ident, $method: ident, $output: ty ), $width:expr ) => {
+		impl<const F:usize> $struct<$width,F>{
+			paste::item!{
+			#[inline]
+			pub fn [<fixed_ $method>](self, rhs: Self) -> Self {
+				let (low,high)=self.bits.unsigned_abs().widening_mul(rhs.bits.unsigned_abs());
+				let out:BInt::<{$width*2}>=unsafe{core::mem::transmute([low,high])};
+				if self.is_negative()==rhs.is_negative(){
+					Self::from_bits(out.shr(F as u32).as_())
+				}else{
+					-Self::from_bits(out.shr(F as u32).as_())
+				}
+			}
 			}
 		}
-	};
-}
-macro_rules! impl_divide_assign_operator_const {
-	( $width:expr, $struct: ident, $trait: ident, $method: ident ) => {
-		impl<Frac> core::ops::$trait for $struct<$width,Frac>{
-			fn $method(&mut self, other: Self) {
-				self.bits.$method(other.bits);
+		#[cfg(not(feature="wide-mul"))]
+		impl_multiplicative_operator_not_const_generic!(($struct, $trait, $method, $output ), $width);
+		#[cfg(feature="deferred-division")]
+		impl ratio_ops::ratio::Divide<i64> for Fixed<$width,{$width*32}>{
+			type Output=Self;
+			#[inline]
+			fn divide(self, other: i64)->Self::Output{
+				Self::from_bits(self.bits.div_euclid(BInt::from(other)))
 			}
 		}
-	};
-}
-
-macro_rules! impl_multiplicatave_operator {
-	( $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
-		impl<const CHUNKS:usize,Frac,U> core::ops::$trait<U> for $struct<CHUNKS,Frac>
-			where
-				BInt::<CHUNKS>:From<U>+core::ops::$trait,
-		{
-			type Output = $output;
-
-			fn $method(self, other: U) -> Self::Output {
-				Self::from_bits(self.bits.$method(BInt::<CHUNKS>::from(other)))
-			}
-		}
-	};
-}
-macro_rules! impl_multiplicatave_assign_operator {
-	( $struct: ident, $trait: ident, $method: ident ) => {
-		impl<const CHUNKS:usize,Frac,U> core::ops::$trait<U> for $struct<CHUNKS,Frac>
-			where
-				BInt::<CHUNKS>:From<U>+core::ops::$trait,
-		{
-			fn $method(&mut self, other: U) {
-				self.bits.$method(BInt::<CHUNKS>::from(other));
-			}
-		}
-	};
-}
-
-macro_rules! impl_operator_16 {
-	( $macro: ident, $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
-		$macro!(1,$struct,$trait,$method,$output);
-		$macro!(2,$struct,$trait,$method,$output);
-		$macro!(3,$struct,$trait,$method,$output);
-		$macro!(4,$struct,$trait,$method,$output);
-		$macro!(5,$struct,$trait,$method,$output);
-		$macro!(6,$struct,$trait,$method,$output);
-		$macro!(7,$struct,$trait,$method,$output);
-		$macro!(8,$struct,$trait,$method,$output);
-		$macro!(9,$struct,$trait,$method,$output);
-		$macro!(10,$struct,$trait,$method,$output);
-		$macro!(11,$struct,$trait,$method,$output);
-		$macro!(12,$struct,$trait,$method,$output);
-		$macro!(13,$struct,$trait,$method,$output);
-		$macro!(14,$struct,$trait,$method,$output);
-		$macro!(15,$struct,$trait,$method,$output);
-		$macro!(16,$struct,$trait,$method,$output);
 	}
 }
-macro_rules! impl_assign_operator_16 {
-	( $macro: ident, $struct: ident, $trait: ident, $method: ident ) => {
-		$macro!(1,$struct,$trait,$method);
-		$macro!(2,$struct,$trait,$method);
-		$macro!(3,$struct,$trait,$method);
-		$macro!(4,$struct,$trait,$method);
-		$macro!(5,$struct,$trait,$method);
-		$macro!(6,$struct,$trait,$method);
-		$macro!(7,$struct,$trait,$method);
-		$macro!(8,$struct,$trait,$method);
-		$macro!(9,$struct,$trait,$method);
-		$macro!(10,$struct,$trait,$method);
-		$macro!(11,$struct,$trait,$method);
-		$macro!(12,$struct,$trait,$method);
-		$macro!(13,$struct,$trait,$method);
-		$macro!(14,$struct,$trait,$method);
-		$macro!(15,$struct,$trait,$method);
-		$macro!(16,$struct,$trait,$method);
+macro_rules! impl_divide_operator_not_const_generic {
+	( ($struct: ident, $trait: ident, $method: ident, $output: ty ), $width:expr ) => {
+		impl<const F:usize> $struct<$width,F>{
+			paste::item!{
+			#[inline]
+			pub fn [<fixed_ $method>](self,other:Self)->Self{
+				//this only needs to be $width+F as u32/64+1 but MUH CONST GENERICS!!!!!
+				let lhs=self.bits.as_::<BInt::<{$width*2}>>().shl(F as u32);
+				let rhs=other.bits.as_::<BInt::<{$width*2}>>();
+				Self::from_bits(lhs.div_euclid(rhs).as_())
+			}
+			}
+		}
+		#[cfg(all(not(feature="wide-mul"),not(feature="deferred-division")))]
+		impl_multiplicative_operator_not_const_generic!(($struct, $trait, $method, $output ), $width);
+		#[cfg(all(not(feature="wide-mul"),feature="deferred-division"))]
+		impl<const F:usize> ratio_ops::ratio::Divide for $struct<$width,F>{
+			type Output = $output;
+			#[inline]
+			fn divide(self, other: Self) -> Self::Output {
+				paste::item!{
+				self.[<fixed_ $method>](other)
+				}
+			}
+		}
+	};
+}
+
+macro_rules! impl_multiplicative_operator {
+	( $struct: ident, $trait: ident, $method: ident, $inner_method: ident, $output: ty ) => {
+		impl<const N:usize,const F:usize,U> core::ops::$trait<U> for $struct<N,F>
+			where
+				BInt::<N>:From<U>+core::ops::$trait,
+		{
+			type Output = $output;
+			#[inline]
+			fn $method(self,other:U)->Self::Output{
+				Self::from_bits(self.bits.$inner_method(BInt::<N>::from(other)))
+			}
+		}
+	};
+}
+macro_rules! impl_multiplicative_assign_operator {
+	( $struct: ident, $trait: ident, $method: ident, $not_assign_method: ident ) => {
+		impl<const N:usize,const F:usize,U> core::ops::$trait<U> for $struct<N,F>
+			where
+				BInt::<N>:From<U>+core::ops::$trait,
+		{
+			#[inline]
+			fn $method(&mut self,other:U){
+				self.bits=self.bits.$not_assign_method(BInt::<N>::from(other));
+			}
+		}
+	};
+}
+
+macro_rules! macro_repeated{
+	(
+		$macro:ident,
+		$any:tt,
+		$($repeated:tt),*
+	)=>{
+		$(
+			$macro!($any, $repeated);
+		)*
+	};
+}
+
+macro_rules! macro_16 {
+	( $macro: ident, $any:tt ) => {
+		macro_repeated!($macro,$any,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16);
 	}
 }
 
-impl_assign_operator_16!( impl_multiply_assign_operator_const, Fixed, MulAssign, mul_assign );
-impl_operator_16!( impl_multiply_operator_const, Fixed, Mul, mul, Self );
-impl_assign_operator_16!( impl_divide_assign_operator_const, Fixed, DivAssign, div_assign );
-impl_operator_16!( impl_divide_operator_const, Fixed, Div, div, Self );
-impl_multiplicatave_assign_operator!( Fixed, MulAssign, mul_assign );
-impl_multiplicatave_operator!( Fixed, Mul, mul, Self );
-impl_multiplicatave_assign_operator!( Fixed, DivAssign, div_assign );
-impl_multiplicatave_operator!( Fixed, Div, div, Self );
-
+macro_16!( impl_multiplicative_assign_operator_not_const_generic, (Fixed, MulAssign, mul_assign, mul) );
+macro_16!( impl_multiply_operator_not_const_generic, (Fixed, Mul, mul, Self) );
+macro_16!( impl_multiplicative_assign_operator_not_const_generic, (Fixed, DivAssign, div_assign, div) );
+macro_16!( impl_divide_operator_not_const_generic, (Fixed, Div, div, Self) );
+impl_multiplicative_assign_operator!( Fixed, MulAssign, mul_assign, mul );
+impl_multiplicative_operator!( Fixed, Mul, mul, mul, Self );
+impl_multiplicative_assign_operator!( Fixed, DivAssign, div_assign, div_euclid );
+impl_multiplicative_operator!( Fixed, Div, div, div_euclid, Self );
+#[cfg(feature="deferred-division")]
+impl<const LHS_N:usize,const LHS_F:usize,const RHS_N:usize,const RHS_F:usize> core::ops::Div<Fixed<RHS_N,RHS_F>> for Fixed<LHS_N,LHS_F>{
+	type Output=ratio_ops::ratio::Ratio<Fixed<LHS_N,LHS_F>,Fixed<RHS_N,RHS_F>>;
+	#[inline]
+	fn div(self, other: Fixed<RHS_N,RHS_F>)->Self::Output{
+		ratio_ops::ratio::Ratio::new(self,other)
+	}
+}
+#[cfg(feature="deferred-division")]
+impl<const N:usize,const F:usize> ratio_ops::ratio::Parity for Fixed<N,F>{
+	fn parity(&self)->bool{
+		self.is_negative()
+	}
+}
 macro_rules! impl_shift_operator {
 	( $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
-		impl<const CHUNKS:usize,Frac> core::ops::$trait<u32> for $struct<CHUNKS,Frac>{
+		impl<const N:usize,const F:usize> core::ops::$trait<u32> for $struct<N,F>{
 			type Output = $output;
-
+			#[inline]
 			fn $method(self, other: u32) -> Self::Output {
 				Self::from_bits(self.bits.$method(other))
 			}
@@ -266,7 +526,8 @@ macro_rules! impl_shift_operator {
 }
 macro_rules! impl_shift_assign_operator {
 	( $struct: ident, $trait: ident, $method: ident ) => {
-		impl<const CHUNKS:usize,Frac> core::ops::$trait<u32> for $struct<CHUNKS,Frac>{
+		impl<const N:usize,const F:usize> core::ops::$trait<u32> for $struct<N,F>{
+			#[inline]
 			fn $method(&mut self, other: u32) {
 				self.bits.$method(other);
 			}
@@ -277,3 +538,311 @@ impl_shift_assign_operator!( Fixed, ShlAssign, shl_assign );
 impl_shift_operator!( Fixed, Shl, shl, Self );
 impl_shift_assign_operator!( Fixed, ShrAssign, shr_assign );
 impl_shift_operator!( Fixed, Shr, shr, Self );
+
+// wide operators.  The result width is the sum of the input widths, i.e. none of the multiplication
+
+#[allow(unused_macros)]
+macro_rules! impl_wide_operators{
+	($lhs:expr,$rhs:expr)=>{
+		impl core::ops::Mul<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
+			type Output=Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>;
+			#[inline]
+			fn mul(self, other: Fixed<$rhs,{$rhs*32}>)->Self::Output{
+				paste::item!{
+				self.[<wide_mul_ $lhs _ $rhs>](other)
+				}
+			}
+		}
+		#[cfg(not(feature="deferred-division"))]
+		impl core::ops::Div<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
+			type Output=Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>;
+			#[inline]
+			fn div(self, other: Fixed<$rhs,{$rhs*32}>)->Self::Output{
+				paste::item!{
+				self.[<wide_div_ $lhs _ $rhs>](other)
+				}
+			}
+		}
+		#[cfg(feature="deferred-division")]
+		impl ratio_ops::ratio::Divide<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
+			type Output=Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>;
+			#[inline]
+			fn divide(self, other: Fixed<$rhs,{$rhs*32}>)->Self::Output{
+				paste::item!{
+				self.[<wide_div_ $lhs _ $rhs>](other)
+				}
+			}
+		}
+	}
+}
+
+// WIDE MUL: multiply into a wider type
+// let a = I32F32::ONE;
+// let b:I64F64 = a.wide_mul(a);
+macro_rules! impl_wide_not_const_generic{
+	(
+		(),
+		($lhs:expr,$rhs:expr)
+	)=>{
+		impl Fixed<$lhs,{$lhs*32}>
+		{
+			paste::item!{
+				#[inline]
+				pub fn [<wide_mul_ $lhs _ $rhs>](self,rhs:Fixed<$rhs,{$rhs*32}>)->Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>{
+					let lhs=self.bits.as_::<BInt<{$lhs+$rhs}>>();
+					let rhs=rhs.bits.as_::<BInt<{$lhs+$rhs}>>();
+					Fixed::from_bits(lhs*rhs)
+				}
+				/// This operation cannot represent the fraction exactly,
+				/// but it shapes the output to have precision for the
+				/// largest and smallest possible fractions.
+				#[inline]
+				pub fn [<wide_div_ $lhs _ $rhs>](self,rhs:Fixed<$rhs,{$rhs*32}>)->Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>{
+					// (lhs/2^LHS_FRAC)/(rhs/2^RHS_FRAC)
+					let lhs=self.bits.as_::<BInt<{$lhs+$rhs}>>().shl($rhs*64);
+					let rhs=rhs.bits.as_::<BInt<{$lhs+$rhs}>>();
+					Fixed::from_bits(lhs/rhs)
+				}
+			}
+		}
+		#[cfg(feature="wide-mul")]
+		impl_wide_operators!($lhs,$rhs);
+	};
+}
+macro_rules! impl_wide_same_size_not_const_generic{
+	(
+		(),
+		$width:expr
+	)=>{
+		impl Fixed<$width,{$width*32}>
+		{
+			paste::item!{
+				#[inline]
+				pub fn [<wide_mul_ $width _ $width>](self,rhs:Fixed<$width,{$width*32}>)->Fixed<{$width*2},{$width*2*32}>{
+					let (low,high)=self.bits.unsigned_abs().widening_mul(rhs.bits.unsigned_abs());
+					let out:BInt::<{$width*2}>=unsafe{core::mem::transmute([low,high])};
+					if self.is_negative()==rhs.is_negative(){
+						Fixed::from_bits(out)
+					}else{
+						// Normal neg is the cheapest negation operation
+						// And the inputs cannot reach the point where it matters
+						Fixed::from_bits(out.neg())
+					}
+				}
+				/// This operation cannot represent the fraction exactly,
+				/// but it shapes the output to have precision for the
+				/// largest and smallest possible fractions.
+				#[inline]
+				pub fn [<wide_div_ $width _ $width>](self,rhs:Fixed<$width,{$width*32}>)->Fixed<{$width*2},{$width*2*32}>{
+					// (lhs/2^LHS_FRAC)/(rhs/2^RHS_FRAC)
+					let lhs=self.bits.as_::<BInt<{$width*2}>>().shl($width*64);
+					let rhs=rhs.bits.as_::<BInt<{$width*2}>>();
+					Fixed::from_bits(lhs/rhs)
+				}
+			}
+		}
+		#[cfg(feature="wide-mul")]
+		impl_wide_operators!($width,$width);
+	};
+}
+
+//const generics sidestepped wahoo
+macro_repeated!(
+	impl_wide_not_const_generic,(),
+	      (2,1),(3,1),(4,1),(5,1),(6,1),(7,1),(8,1),(9,1),(10,1),(11,1),(12,1),(13,1),(14,1),(15,1),
+	(1,2),      (3,2),(4,2),(5,2),(6,2),(7,2),(8,2),(9,2),(10,2),(11,2),(12,2),(13,2),(14,2),
+	(1,3),(2,3),      (4,3),(5,3),(6,3),(7,3),(8,3),(9,3),(10,3),(11,3),(12,3),(13,3),
+	(1,4),(2,4),(3,4),      (5,4),(6,4),(7,4),(8,4),(9,4),(10,4),(11,4),(12,4),
+	(1,5),(2,5),(3,5),(4,5),      (6,5),(7,5),(8,5),(9,5),(10,5),(11,5),
+	(1,6),(2,6),(3,6),(4,6),(5,6),      (7,6),(8,6),(9,6),(10,6),
+	(1,7),(2,7),(3,7),(4,7),(5,7),(6,7),      (8,7),(9,7),
+	(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),      (9,8),
+	(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),
+	(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),
+	(1,11),(2,11),(3,11),(4,11),(5,11),
+	(1,12),(2,12),(3,12),(4,12),
+	(1,13),(2,13),(3,13),
+	(1,14),(2,14),
+	(1,15)
+);
+macro_repeated!(
+	impl_wide_same_size_not_const_generic,(),
+	1,2,3,4,5,6,7,8
+);
+
+pub trait Fix<Out>{
+	fn fix(self)->Out;
+}
+
+macro_rules! impl_fix_rhs_lt_lhs_not_const_generic{
+	(
+		(),
+		($lhs:expr,$rhs:expr)
+	)=>{
+		impl Fixed<$lhs,{$lhs*32}>
+		{
+			paste::item!{
+				#[inline]
+				pub fn [<fix_ $rhs>](self)->Fixed<$rhs,{$rhs*32}>{
+					Fixed::from_bits(bnum::cast::As::as_::<BInt::<$rhs>>(self.bits.shr(($lhs-$rhs)*32)))
+				}
+			}
+		}
+		impl Fix<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
+			fn fix(self)->Fixed<$rhs,{$rhs*32}>{
+				paste::item!{
+				self.[<fix_ $rhs>]()
+				}
+			}
+		}
+	}
+}
+macro_rules! impl_fix_lhs_lt_rhs_not_const_generic{
+	(
+		(),
+		($lhs:expr,$rhs:expr)
+	)=>{
+		impl Fixed<$lhs,{$lhs*32}>
+		{
+			paste::item!{
+				#[inline]
+				pub fn [<fix_ $rhs>](self)->Fixed<$rhs,{$rhs*32}>{
+					Fixed::from_bits(bnum::cast::As::as_::<BInt::<$rhs>>(self.bits).shl(($rhs-$lhs)*32))
+				}
+			}
+		}
+		impl Fix<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
+			fn fix(self)->Fixed<$rhs,{$rhs*32}>{
+				paste::item!{
+				self.[<fix_ $rhs>]()
+				}
+			}
+		}
+	}
+}
+macro_rules! impl_fix_lhs_eq_rhs_not_const_generic{
+	(
+		(),
+		($lhs:expr,$rhs:expr)
+	)=>{
+		impl Fixed<$lhs,{$lhs*32}>
+		{
+			paste::item!{
+				#[inline]
+				pub fn [<fix_ $rhs>](self)->Fixed<$rhs,{$rhs*32}>{
+					self
+				}
+			}
+		}
+		impl Fix<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
+			fn fix(self)->Fixed<$rhs,{$rhs*32}>{
+				paste::item!{
+				self.[<fix_ $rhs>]()
+				}
+			}
+		}
+	}
+}
+
+// I LOVE NOT BEING ABLE TO USE CONST GENERICS
+
+macro_repeated!(
+	impl_fix_rhs_lt_lhs_not_const_generic,(),
+	(2,1),(3,1),(4,1),(5,1),(6,1),(7,1),(8,1),(9,1),(10,1),(11,1),(12,1),(13,1),(14,1),(15,1),(16,1),(17,1),
+	(3,2),(4,2),(5,2),(6,2),(7,2),(8,2),(9,2),(10,2),(11,2),(12,2),(13,2),(14,2),(15,2),(16,2),
+	(4,3),(5,3),(6,3),(7,3),(8,3),(9,3),(10,3),(11,3),(12,3),(13,3),(14,3),(15,3),(16,3),
+	(5,4),(6,4),(7,4),(8,4),(9,4),(10,4),(11,4),(12,4),(13,4),(14,4),(15,4),(16,4),
+	(6,5),(7,5),(8,5),(9,5),(10,5),(11,5),(12,5),(13,5),(14,5),(15,5),(16,5),
+	(7,6),(8,6),(9,6),(10,6),(11,6),(12,6),(13,6),(14,6),(15,6),(16,6),
+	(8,7),(9,7),(10,7),(11,7),(12,7),(13,7),(14,7),(15,7),(16,7),
+	(9,8),(10,8),(11,8),(12,8),(13,8),(14,8),(15,8),(16,8),
+	(10,9),(11,9),(12,9),(13,9),(14,9),(15,9),(16,9),
+	(11,10),(12,10),(13,10),(14,10),(15,10),(16,10),
+	(12,11),(13,11),(14,11),(15,11),(16,11),
+	(13,12),(14,12),(15,12),(16,12),
+	(14,13),(15,13),(16,13),
+	(15,14),(16,14),
+	(16,15)
+);
+macro_repeated!(
+	impl_fix_lhs_lt_rhs_not_const_generic,(),
+	(1,2),
+	(1,3),(2,3),
+	(1,4),(2,4),(3,4),
+	(1,5),(2,5),(3,5),(4,5),
+	(1,6),(2,6),(3,6),(4,6),(5,6),
+	(1,7),(2,7),(3,7),(4,7),(5,7),(6,7),
+	(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),
+	(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9),
+	(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10),
+	(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11),
+	(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,12),(10,12),(11,12),
+	(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,13),(8,13),(9,13),(10,13),(11,13),(12,13),
+	(1,14),(2,14),(3,14),(4,14),(5,14),(6,14),(7,14),(8,14),(9,14),(10,14),(11,14),(12,14),(13,14),
+	(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,15),(10,15),(11,15),(12,15),(13,15),(14,15),
+	(1,16),(2,16),(3,16),(4,16),(5,16),(6,16),(7,16),(8,16),(9,16),(10,16),(11,16),(12,16),(13,16),(14,16),(15,16)
+);
+macro_repeated!(
+	impl_fix_lhs_eq_rhs_not_const_generic,(),
+	(1,1),(2,2),(3,3),(4,4),(5,5),(6,6),(7,7),(8,8),(9,9),(10,10),(11,11),(12,12),(13,13),(14,14),(15,15),(16,16)
+);
+
+macro_rules! impl_not_const_generic{
+	($n:expr,$_2n:expr)=>{
+		impl Fixed<$n,{$n*32}>{
+			paste::item!{
+			#[inline]
+			pub fn sqrt_unchecked(self)->Self{
+				//1<<max_shift must be the minimum power of two which when squared is greater than self
+				//calculating max_shift:
+				//1. count "used" bits to the left of the decimal, not including the sign bit (so -1)
+				//2. divide by 2 via >>1 (sqrt-ish)
+				//3. add on fractional offset
+				//Voila
+				let used_bits=self.bits.bits() as i32-1-($n*32) as i32;
+				let max_shift=((used_bits>>1)+($n*32) as i32) as u32;
+				let mut result=Self::ZERO;
+
+				//resize self to match the wide mul output
+				let wide_self=self.[<fix_ $_2n>]();
+				//descend down the bits and check if flipping each bit would push the square over the input value
+				for shift in (0..=max_shift).rev(){
+					let new_result={
+						let mut bits=result.to_bits().to_bits();
+						bits.set_bit(shift,true);
+						Self::from_bits(BInt::from_bits(bits))
+					};
+					if new_result.[<wide_mul_ $n _ $n>](new_result)<=wide_self{
+						result=new_result;
+					}
+				}
+				result
+			}
+			}
+			#[inline]
+			pub fn sqrt(self)->Self{
+				if self<Self::ZERO{
+					panic!("Square root less than zero")
+				}else{
+					self.sqrt_unchecked()
+				}
+			}
+			#[inline]
+			pub fn sqrt_checked(self)->Option<Self>{
+				if self<Self::ZERO{
+					None
+				}else{
+					Some(self.sqrt_unchecked())
+				}
+			}
+		}
+	}
+}
+impl_not_const_generic!(1,2);
+impl_not_const_generic!(2,4);
+impl_not_const_generic!(3,6);
+impl_not_const_generic!(4,8);
+impl_not_const_generic!(5,10);
+impl_not_const_generic!(6,12);
+impl_not_const_generic!(7,14);
+impl_not_const_generic!(8,16);

fixed_wide/src/fixed_wide_traits.rs

@@ -1,88 +0,0 @@
-use bnum::BInt;
-use bnum::cast::As;
-use typenum::{Sum,Unsigned};
-use crate::fixed::Fixed;
-use fixed_wide_traits::wide::WideMul;
-
-macro_rules! impl_wide_mul {
-	($lhs: expr,$rhs: expr) => {
-		impl<A,B> WideMul<Fixed<$rhs,B>> for Fixed<$lhs,A>
-			where
-				A:std::ops::Add<B>,
-				B:Unsigned,
-		{
-			type Output=Fixed<{$lhs+$rhs},Sum<A,B>>;
-			fn wide_mul(self,rhs:Fixed<$rhs,B>)->Self::Output{
-				Fixed::from_bits(self.bits.as_::<BInt<{$lhs+$rhs}>>()*rhs.bits.as_::<BInt<{$lhs+$rhs}>>())
-			}
-		}
-	};
-}
-
-macro_rules! impl_wide_mul_all {
-	($(($x:expr, $y:expr)),*) => {
-		$(
-			impl_wide_mul!($x, $y);
-		)*
-	};
-}
-
-//const generics sidestepped wahoo
-impl_wide_mul_all!(
-	(1,1),(2,1),(3,1),(4,1),(5,1),(6,1),(7,1),(8,1),
-	(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(7,2),(8,2),
-	(1,3),(2,3),(3,3),(4,3),(5,3),(6,3),(7,3),(8,3),
-	(1,4),(2,4),(3,4),(4,4),(5,4),(6,4),(7,4),(8,4),
-	(1,5),(2,5),(3,5),(4,5),(5,5),(6,5),(7,5),(8,5),
-	(1,6),(2,6),(3,6),(4,6),(5,6),(6,6),(7,6),(8,6),
-	(1,7),(2,7),(3,7),(4,7),(5,7),(6,7),(7,7),(8,7),
-	(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),(8,8)
-);
-impl<const SRC:usize,Frac> Fixed<SRC,Frac>{
-	pub fn widen<const DST:usize>(self)->Fixed<DST,Frac>{
-		Fixed::from_bits(self.bits.as_::<BInt<DST>>())
-	}
-}
-
-impl<const CHUNKS:usize,Frac:Unsigned> Fixed<CHUNKS,Frac>
-	where
-		Fixed::<CHUNKS,Frac>:WideMul,
-		<Fixed::<CHUNKS,Frac> as WideMul>::Output:Ord,
-{
-	pub fn sqrt_unchecked(self)->Self{
-		//1<<max_shift must be the minimum power of two which when squared is greater than self
-		//calculating max_shift:
-		//1. count "used" bits to the left of the decimal, not including the sign bit (so -1)
-		//2. divide by 2 via >>1 (sqrt-ish)
-		//3. add on fractional offset
-		//Voila
-		let used_bits=self.bits.bits() as i32-1-Frac::I32;
-		let max_shift=((used_bits>>1)+Frac::I32) as u32;
-		let mut result=Self::ZERO;
-
-		//multiply by one to make the types match (hack)
-		let wide_self=self.wide_mul(Fixed::<CHUNKS,Frac>::ONE);
-		//descend down the bits and check if flipping each bit would push the square over the input value
-		for shift in (0..=max_shift).rev(){
-			let new_result=result|Fixed::<CHUNKS,Frac>::from_bits(BInt::from_bits(bnum::BUint::power_of_two(shift)));
-			if new_result.wide_mul(new_result)<=wide_self{
-				result=new_result;
-			}
-		}
-		result
-	}
-	pub fn sqrt(self)->Self{
-		if self<Self::ZERO{
-			panic!("Square root less than zero")
-		}else{
-			self.sqrt_unchecked()
-		}
-	}
-	pub fn sqrt_checked(self)->Option<Self>{
-		if self<Self::ZERO{
-			None
-		}else{
-			Some(self.sqrt_unchecked())
-		}
-	}
-}

fixed_wide/src/lib.rs

@@ -1,14 +1,8 @@
 pub mod fixed;
 pub mod types;
 
-pub mod typenum{
-	pub use typenum::Unsigned;
-}
-
-#[cfg(feature="fixed_wide_traits")]
-mod fixed_wide_traits;
-#[cfg(feature="fixed_wide_traits")]
-pub use ::fixed_wide_traits::wide;
+#[cfg(feature="zeroes")]
+pub mod zeroes;
 
 #[cfg(test)]
 mod tests;

fixed_wide/src/tests.rs

@@ -1,19 +1,147 @@
-use fixed_wide_traits::wide::WideMul;
 use crate::types::I32F32;
+use crate::types::I256F256;
+
+#[test]
+fn you_can_add_numbers(){
+	let a=I256F256::from((3i128*2).pow(4));
+	assert_eq!(a+a,I256F256::from((3i128*2).pow(4)*2));
+}
+
+#[test]
+fn to_f32(){
+	let a=I256F256::from(1)>>2;
+	let f:f32=a.into();
+	assert_eq!(f,0.25f32);
+	let f:f32=(-a).into();
+	assert_eq!(f,-0.25f32);
+	let a=I256F256::from(0);
+	let f:f32=(-a).into();
+	assert_eq!(f,0f32);
+	let a=I256F256::from(237946589723468975i64)<<16;
+	let f:f32=a.into();
+	assert_eq!(f,237946589723468975f32*2.0f32.powi(16));
+}
+
+#[test]
+fn to_f64(){
+	let a=I256F256::from(1)>>2;
+	let f:f64=a.into();
+	assert_eq!(f,0.25f64);
+	let f:f64=(-a).into();
+	assert_eq!(f,-0.25f64);
+	let a=I256F256::from(0);
+	let f:f64=(-a).into();
+	assert_eq!(f,0f64);
+	let a=I256F256::from(237946589723468975i64)<<16;
+	let f:f64=a.into();
+	assert_eq!(f,237946589723468975f64*2.0f64.powi(16));
+}
+
+#[test]
+fn from_f32(){
+	let a=I256F256::from(1)>>2;
+	let b:Result<I256F256,_>=0.25f32.try_into();
+	assert_eq!(b,Ok(a));
+	let a=I256F256::from(-1)>>2;
+	let b:Result<I256F256,_>=(-0.25f32).try_into();
+	assert_eq!(b,Ok(a));
+	let a=I256F256::from(0);
+	let b:Result<I256F256,_>=0.try_into();
+	assert_eq!(b,Ok(a));
+	let a=I256F256::from(0b101011110101001010101010000000000000000000000000000i64)<<16;
+	let b:Result<I256F256,_>=(0b101011110101001010101010000000000000000000000000000u64 as f32*2.0f32.powi(16)).try_into();
+	assert_eq!(b,Ok(a));
+	//I32F32::MAX into f32 is truncated into this value
+	let a=I32F32::raw(0b111111111111111111111111000000000000000000000000000000000000000i64);
+	let b:Result<I32F32,_>=Into::<f32>::into(I32F32::MAX).try_into();
+	assert_eq!(b,Ok(a));
+	//I32F32::MIN hits a special case since it's not representable as a positive signed integer
+	//TODO: don't return an overflow because this is technically possible
+	let a=I32F32::MIN;
+	let b:Result<I32F32,_>=Into::<f32>::into(I32F32::MIN).try_into();
+	assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Overflow));
+	//16 is within the 24 bits of float precision
+	let b:Result<I32F32,_>=Into::<f32>::into(-I32F32::MIN.fix_2()).try_into();
+	assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Overflow));
+	let b:Result<I32F32,_>=f32::MIN_POSITIVE.try_into();
+	assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Underflow));
+	//test many cases
+	for i in 0..64{
+		let a=crate::fixed::Fixed::<2,64>::raw_digit(0b111111111111111111111111000000000000000000000000000000000000000i64)<<i;
+		let f:f32=a.into();
+		let b:Result<crate::fixed::Fixed<2,64>,_>=f.try_into();
+		assert_eq!(b,Ok(a));
+	}
+}
+
+#[test]
+fn from_f64(){
+	let a=I256F256::from(1)>>2;
+	let b:Result<I256F256,_>=0.25f64.try_into();
+	assert_eq!(b,Ok(a));
+	let a=I256F256::from(-1)>>2;
+	let b:Result<I256F256,_>=(-0.25f64).try_into();
+	assert_eq!(b,Ok(a));
+	let a=I256F256::from(0);
+	let b:Result<I256F256,_>=0.try_into();
+	assert_eq!(b,Ok(a));
+	let a=I256F256::from(0b101011110101001010101010000000000000000000000000000i64)<<16;
+	let b:Result<I256F256,_>=(0b101011110101001010101010000000000000000000000000000u64 as f64*2.0f64.powi(16)).try_into();
+	assert_eq!(b,Ok(a));
+}
+
+#[test]
+fn you_can_shr_numbers(){
+	let a=I32F32::from(4);
+	assert_eq!(a>>1,I32F32::from(2));
+}
 
 #[test]
 fn test_wide_mul(){
 	let a=I32F32::ONE;
-	let aa=a.wide_mul(a);
+	let aa=a.wide_mul_1_1(a);
 	assert_eq!(aa,crate::types::I64F64::ONE);
 }
 
+#[test]
+fn test_wide_div(){
+	let a=I32F32::ONE*4;
+	let b=I32F32::ONE*2;
+	let wide_a=a.wide_mul_1_1(I32F32::ONE);
+	let wide_b=b.wide_mul_1_1(I32F32::ONE);
+	let ab=a.wide_div_1_1(b);
+	assert_eq!(ab,crate::types::I64F64::ONE*2);
+	let wab=wide_a.wide_div_2_1(b);
+	assert_eq!(wab,crate::fixed::Fixed::<3,96>::ONE*2);
+	let awb=a.wide_div_1_2(wide_b);
+	assert_eq!(awb,crate::fixed::Fixed::<3,96>::ONE*2);
+}
+
+#[test]
+fn test_wide_mul_repeated() {
+	let a=I32F32::from(2);
+	let b=I32F32::from(3);
+
+	let w1=a.wide_mul_1_1(b);
+	let w2=w1.wide_mul_2_2(w1);
+	let w3=w2.wide_mul_4_4(w2);
+
+	assert_eq!(w3,I256F256::from((3i128*2).pow(4)));
+}
+
 #[test]
 fn test_bint(){
 	let a=I32F32::ONE;
 	assert_eq!(a*2,I32F32::from(2));
 }
 
+#[test]
+fn test_fix(){
+	assert_eq!(I32F32::ONE.fix_8(),I256F256::ONE);
+	assert_eq!(I32F32::ONE,I256F256::ONE.fix_1());
+	assert_eq!(I32F32::NEG_ONE.fix_8(),I256F256::NEG_ONE);
+	assert_eq!(I32F32::NEG_ONE,I256F256::NEG_ONE.fix_1());
+}
 #[test]
 fn test_sqrt(){
 	let a=I32F32::ONE*4;
@@ -27,7 +155,7 @@ fn test_sqrt_zero(){
 #[test]
 fn test_sqrt_low(){
 	let a=I32F32::HALF;
-	let b=a*a;
+	let b=a.fixed_mul(a);
 	assert_eq!(b.sqrt(),a);
 }
 fn find_equiv_sqrt_via_f64(n:I32F32)->I32F32{
@@ -40,10 +168,10 @@ fn find_equiv_sqrt_via_f64(n:I32F32)->I32F32{
 	let r=I32F32::from_bits(bnum::BInt::<1>::from(i));
 	//mimic the behaviour of the algorithm,
 	//return the result if it truncates to the exact answer
-	if (r+I32F32::EPSILON).wide_mul(r+I32F32::EPSILON)==n.wide_mul(I32F32::ONE){
+	if (r+I32F32::EPSILON).wide_mul_1_1(r+I32F32::EPSILON)==n.wide_mul_1_1(I32F32::ONE){
 		return r+I32F32::EPSILON;
 	}
-	if (r-I32F32::EPSILON).wide_mul(r-I32F32::EPSILON)==n.wide_mul(I32F32::ONE){
+	if (r-I32F32::EPSILON).wide_mul_1_1(r-I32F32::EPSILON)==n.wide_mul_1_1(I32F32::ONE){
 		return r-I32F32::EPSILON;
 	}
 	return r;
@@ -64,3 +192,27 @@ fn test_sqrt_max(){
 	let a=I32F32::MAX;
 	test_exact(a);
 }
+#[test]
+#[cfg(all(feature="zeroes",not(feature="deferred-division")))]
+fn test_zeroes_normal(){
+	// (x-1)*(x+1)
+	// x^2-1
+	let zeroes=I32F32::zeroes2(I32F32::NEG_ONE,I32F32::ZERO,I32F32::ONE);
+	assert_eq!(zeroes,arrayvec::ArrayVec::from_iter([I32F32::NEG_ONE,I32F32::ONE]));
+	let zeroes=I32F32::zeroes2(I32F32::NEG_ONE*3,I32F32::ONE*2,I32F32::ONE);
+	assert_eq!(zeroes,arrayvec::ArrayVec::from_iter([I32F32::NEG_ONE*3,I32F32::ONE]));
+}
+#[test]
+#[cfg(all(feature="zeroes",feature="deferred-division"))]
+fn test_zeroes_deferred_division(){
+	// (x-1)*(x+1)
+	// x^2-1
+	let zeroes=I32F32::zeroes2(I32F32::NEG_ONE,I32F32::ZERO,I32F32::ONE);
+	assert_eq!(
+		zeroes,
+		arrayvec::ArrayVec::from_iter([
+			ratio_ops::ratio::Ratio::new(I32F32::ONE*2,I32F32::NEG_ONE*2),
+			ratio_ops::ratio::Ratio::new(I32F32::ONE*2,I32F32::ONE*2),
+		])
+	);
+}

fixed_wide/src/types.rs

@@ -1,4 +1,4 @@
-pub type I32F32=crate::fixed::Fixed<1,typenum::consts::U32>;
-pub type I64F64=crate::fixed::Fixed<2,typenum::consts::U64>;
-pub type I128F128=crate::fixed::Fixed<4,typenum::consts::U128>;
-pub type I256F256=crate::fixed::Fixed<8,typenum::consts::U256>;
+pub type I32F32=crate::fixed::Fixed<1,32>;
+pub type I64F64=crate::fixed::Fixed<2,64>;
+pub type I128F128=crate::fixed::Fixed<4,128>;
+pub type I256F256=crate::fixed::Fixed<8,256>;

fixed_wide/src/zeroes.rs

@@ -0,0 +1,53 @@
+use crate::fixed::Fixed;
+
+use arrayvec::ArrayVec;
+use std::cmp::Ordering;
+macro_rules! impl_zeroes{
+	($n:expr)=>{
+		impl Fixed<$n,{$n*32}>{
+			#[inline]
+			pub fn zeroes2(a0:Self,a1:Self,a2:Self)->ArrayVec<<Self as core::ops::Div>::Output,2>{
+				let a2pos=match a2.cmp(&Self::ZERO){
+					Ordering::Greater=>true,
+					Ordering::Equal=>return ArrayVec::from_iter(Self::zeroes1(a0,a1).into_iter()),
+					Ordering::Less=>false,
+				};
+				let radicand=a1*a1-a2*a0*4;
+				match radicand.cmp(&<Self as core::ops::Mul>::Output::ZERO){
+					Ordering::Greater=>{
+						paste::item!{
+						let planar_radicand=radicand.sqrt().[<fix_ $n>]();
+						}
+						//sort roots ascending and avoid taking the difference of large numbers
+						let zeroes=match (a2pos,Self::ZERO<a1){
+							(true, true )=>[(-a1-planar_radicand)/(a2*2),(a0*2)/(-a1-planar_radicand)],
+							(true, false)=>[(a0*2)/(-a1+planar_radicand),(-a1+planar_radicand)/(a2*2)],
+							(false,true )=>[(a0*2)/(-a1-planar_radicand),(-a1-planar_radicand)/(a2*2)],
+							(false,false)=>[(-a1+planar_radicand)/(a2*2),(a0*2)/(-a1+planar_radicand)],
+						};
+						ArrayVec::from_iter(zeroes)
+					},
+					Ordering::Equal=>ArrayVec::from_iter([(a1)/(a2*-2)]),
+					Ordering::Less=>ArrayVec::new_const(),
+				}
+			}
+			#[inline]
+			pub fn zeroes1(a0:Self,a1:Self)->ArrayVec<<Self as core::ops::Div>::Output,1>{
+				if a1==Self::ZERO{
+					ArrayVec::new_const()
+				}else{
+					ArrayVec::from_iter([(-a0)/(a1)])
+				}
+			}
+		}
+	};
+}
+impl_zeroes!(1);
+impl_zeroes!(2);
+impl_zeroes!(3);
+impl_zeroes!(4);
+//sqrt doubles twice!
+//impl_zeroes!(5);
+//impl_zeroes!(6);
+//impl_zeroes!(7);
+//impl_zeroes!(8);

fixed_wide_traits/Cargo.lock

@@ -1,63 +0,0 @@
-# This file is automatically @generated by Cargo.
-# It is not intended for manual editing.
-version = 3
-
-[[package]]
-name = "az"
-version = "1.2.1"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7b7e4c2464d97fe331d41de9d5db0def0a96f4d823b8b32a2efd503578988973"
-
-[[package]]
-name = "bytemuck"
-version = "1.17.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "6fd4c6dcc3b0aea2f5c0b4b82c2b15fe39ddbc76041a310848f4706edf76bb31"
-
-[[package]]
-name = "cfg-if"
-version = "1.0.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "baf1de4339761588bc0619e3cbc0120ee582ebb74b53b4efbf79117bd2da40fd"
-
-[[package]]
-name = "crunchy"
-version = "0.2.2"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7a81dae078cea95a014a339291cec439d2f232ebe854a9d672b796c6afafa9b7"
-
-[[package]]
-name = "fixed"
-version = "1.28.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "85c6e0b89bf864acd20590dbdbad56f69aeb898abfc9443008fd7bd48b2cc85a"
-dependencies = [
- "az",
- "bytemuck",
- "half",
- "typenum",
-]
-
-[[package]]
-name = "fixed_wide_traits"
-version = "0.1.0"
-dependencies = [
- "fixed",
- "typenum",
-]
-
-[[package]]
-name = "half"
-version = "2.4.1"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "6dd08c532ae367adf81c312a4580bc67f1d0fe8bc9c460520283f4c0ff277888"
-dependencies = [
- "cfg-if",
- "crunchy",
-]
-
-[[package]]
-name = "typenum"
-version = "1.17.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"

fixed_wide_traits/Cargo.toml

@@ -1,10 +0,0 @@
-[package]
-name = "fixed_wide_traits"
-version = "0.1.0"
-edition = "2021"
-
-[dependencies]
-
-[dev-dependencies]
-fixed = "1.28.0"
-typenum = "1.17.0"

fixed_wide_traits/src/lib.rs

@@ -1,2 +0,0 @@
-pub mod wide;
-pub mod narrow;

fixed_wide_traits/src/narrow.rs

@@ -1,57 +0,0 @@
-pub trait Narrow{
-	type Output;
-	fn narrow(self)->Self::Output;
-}
-#[derive(Debug)]
-pub enum Error{
-	Overflow,
-	Underflow,
-}
-impl std::fmt::Display for Error{
-	fn fmt(&self,f:&mut std::fmt::Formatter<'_>)->std::fmt::Result{
-		write!(f,"{self:?}")
-	}
-}
-impl std::error::Error for Error{}
-pub trait TryNarrow{
-	type Output;
-	fn try_narrow(self)->Result<Self::Output,Error>;
-}
-#[cfg(test)]
-mod tests {
-	use super::*;
-
-	//TODO: use num_traits to do a blanket implementation (self<T::MIN as U)
-	impl TryNarrow for i16{
-		type Output=i8;
-		fn try_narrow(self)->Result<Self::Output,Error>{
-			if self<i8::MIN as i16{
-				return Err(Error::Underflow);
-			}
-			if (i8::MAX as i16)<self{
-				return Err(Error::Overflow);
-			}
-			Ok(self as i8)
-		}
-	}
-
-	#[test]
-	fn test_i16_i8(){
-		assert!(matches!(257i16.try_narrow(),Err(Error::Overflow)));
-		assert!(matches!(64i16.try_narrow(),Ok(64i8)));
-		assert!(matches!((-257i16).try_narrow(),Err(Error::Underflow)));
-	}
-
-	impl Narrow for fixed::FixedI16<typenum::consts::U8>{
-		type Output=i8;
-		fn narrow(self)->Self::Output{
-			(self.to_bits()>>8) as i8
-		}
-	}
-
-	#[test]
-	fn test_fixed_i16_i8(){
-		let a=fixed::FixedI16::<typenum::consts::U8>::from(5)/2;
-		assert_eq!(a.narrow(),2);
-	}
-}

fixed_wide_traits/src/wide.rs

@@ -1,16 +0,0 @@
-pub trait WideMul<Rhs=Self>{
-	type Output;
-	fn wide_mul(self,rhs:Rhs)->Self::Output;
-}
-pub trait WideDiv<Rhs=Self>{
-	type Output;
-	fn wide_div(self,rhs:Rhs)->Self::Output;
-}
-pub trait WideDot<Rhs=Self>{
-	type Output;
-	fn wide_dot(self,rhs:Rhs)->Self::Output;
-}
-pub trait WideCross<Rhs=Self>{
-	type Output;
-	fn wide_cross(self,rhs:Rhs)->Self::Output;
-}

fixed_wide_vectors/.gitignore

@@ -1 +0,0 @@
-/target

fixed_wide_vectors/Cargo.lock

@@ -1,36 +0,0 @@
-# This file is automatically @generated by Cargo.
-# It is not intended for manual editing.
-version = 3
-
-[[package]]
-name = "bnum"
-version = "0.11.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3e31ea183f6ee62ac8b8a8cf7feddd766317adfb13ff469de57ce033efd6a790"
-
-[[package]]
-name = "fixed_wide"
-version = "0.1.0"
-dependencies = [
- "bnum",
- "fixed_wide_traits",
- "typenum",
-]
-
-[[package]]
-name = "fixed_wide_traits"
-version = "0.1.0"
-
-[[package]]
-name = "fixed_wide_vectors"
-version = "0.1.0"
-dependencies = [
- "fixed_wide",
- "fixed_wide_traits",
-]
-
-[[package]]
-name = "typenum"
-version = "1.17.0"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"

fixed_wide_vectors/Cargo.toml

@@ -1,14 +0,0 @@
-[package]
-name = "fixed_wide_vectors"
-version = "0.1.0"
-edition = "2021"
-
-[features]
-default=["fixed_wide_traits"]
-fixed_wide_traits=["dep:fixed_wide_traits"]
-
-[dependencies]
-fixed_wide_traits = { version = "0.1.0", path = "../fixed_wide_traits", optional = true }
-
-[dev-dependencies]
-fixed_wide = { version = "0.1.0", path = "../fixed_wide" }

fixed_wide_vectors/src/lib.rs

@@ -1,14 +0,0 @@
-mod macros;
-mod vector;
-mod matrix;
-
-pub use vector::Vector2;
-pub use vector::Vector3;
-pub use vector::Vector4;
-
-pub use matrix::Matrix2;
-pub use matrix::Matrix3;
-pub use matrix::Matrix4;
-
-#[cfg(test)]
-mod tests;

fixed_wide_vectors/src/macros/matrix.rs

@@ -1,162 +0,0 @@
-// Stolen from https://github.com/c1m50c/fixed-vectors (MIT license)
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix {
-	(
-		($struct_outer: ident { $($field_outer: ident), + }, $vector_outer: ident { $($vector_field_outer: ident), + }, $size_outer: expr),
-		($struct_inner: ident { $($field_inner: ident), + }, $matrix_inner: ident { $($matrix_field_inner: ident), + }, $size_inner: expr),
-		( $($generic_outer: tt), + )
-	) => {
-		impl<T> $struct_outer<$struct_inner<T>> {
-			#[inline(always)]
-			pub fn to_array_2d(self) -> [[T; $size_inner]; $size_outer] {
-				[ $(self.$field_outer.to_array()), + ]
-			}
-
-			#[inline(always)]
-			pub fn to_tuple_2d(self) -> ( $($generic_outer), + ) {
-				( $(self.$field_outer.to_tuple()), + )
-			}
-
-			#[inline]
-			pub fn map_2d<F, U>(self, f: F) -> $struct_outer<$struct_inner<U>>
-			where
-				F: Fn(T) -> U
-			{
-				$crate::matrix_map2d_outer!{f,self,($struct_outer { $($field_outer), + }),($struct_inner { $($field_inner), + })}
-			}
-
-			#[inline]
-			pub fn transpose(self) -> $matrix_inner<$vector_outer<T>>{
-				$crate::matrix_transpose_outer!{self,
-					($matrix_inner { $($matrix_field_inner), + }),($struct_inner { $($field_inner), + }),
-					($vector_outer { $($vector_field_outer), + }),($struct_outer { $($field_outer), + })
-				}
-			}
-		}
-
-		impl<T: Copy> $struct_outer<$struct_inner<T>> {
-			#[inline(always)]
-			pub const fn from_value_2d(value: T) -> Self {
-				Self {
-					$( $field_outer: $struct_inner::from_value(value) ), +
-				}
-			}
-			//TODO: diagonal
-		}
-
-		// Impl floating-point based methods
-		//#[cfg(feature="fixed_wide_traits")]
-		//$crate::impl_wide_matrix_operations!( ($struct_outer { $($field_outer), + }, $size_outer), ($struct_inner, $size_inner), $fields_inner );
-	};
-}
-
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! matrix_map2d_outer {
-	( $f:ident, $value:ident, ($struct_outer: ident { $($field_outer: ident), + }), $unparsed_inner:tt ) => {
-		$struct_outer {
-			$(
-				$field_outer: $crate::matrix_map2d_inner!{$f,$value,$field_outer,$unparsed_inner}
-			), +
-		}
-	}
-}
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! matrix_map2d_inner {
-	( $f:ident, $value:ident, $field_outer:ident, ($struct_inner: ident { $($field_inner: ident), + }) ) => {
-		$struct_inner {
-			$(
-				$field_inner: $f($value.$field_outer.$field_inner)
-			), +
-		}
-	}
-}
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! matrix_transpose_outer {
-	(
-		$value:ident,
-		($struct_outer: ident { $($field_outer: ident), + }),
-		($old_outer: ident { $($old_field_outer: ident), + }),
-		$fields_inner:tt,
-		$old_fields_inner:tt
-	) => {
-		$struct_outer {
-			$(
-				$field_outer: $crate::matrix_transpose_inner!{$value,$old_field_outer,$fields_inner,$old_fields_inner}
-			), +
-		}
-	}
-}
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! matrix_transpose_inner {
-	( $value:ident, $field_outer:ident,
-		($struct_inner: ident { $($field_inner: ident), + }),
-		($old_struct_inner: ident { $($old_field_inner: ident), + })
-	) => {
-		$struct_inner {
-			$(
-				$field_inner: $value.$old_field_inner.$field_outer
-			), +
-		}
-	}
-}
-
-/*
-macro_rules! nested {
-    (($($f:ident),*) $args:tt) => {
-        $(nested!(@call $f $args);)*
-    };
-    (@call $f:ident ($($arg:expr),*)) => {
-        $f($($arg),*);
-    };
-}
-
-nested! {
-    (show1, show2)
-    (a, b, c)
-}
-*/
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_operator {
-	( $struct: ident { $($field: ident), + }, $trait: ident, $method: ident, $output: ty ) => {
-		impl<T:core::ops::$trait<Output=T>> core::ops::$trait for $struct<T> {
-			type Output = $output;
-
-			fn $method(self, other: Self) -> Self::Output {
-				Self {
-					$( $field: self.$field.$method(other.$field) ), +
-				}
-			}
-		}
-		impl<T:core::ops::$trait<Output=T>+Copy> core::ops::$trait<T> for $struct<T>{
-			type Output = $output;
-
-			fn $method(self, other: T) -> Self::Output {
-				$struct {
-					$( $field: self.$field.$method(other) ), +
-				}
-			}
-		}
-	};
-
-	( $struct: ident { $($field: ident), + }, $trait: ident, $method: ident ) => {
-		impl<T: core::ops::$trait> core::ops::$trait for $struct<T> {
-			fn $method(&mut self, other: Self)  {
-				$( self.$field.$method(other.$field) ); +
-			}
-		}
-
-		impl<T: core::ops::$trait + Copy> core::ops::$trait<T> for $struct<T> {
-			fn $method(&mut self, other: T)  {
-				$( self.$field.$method(other) ); +
-			}
-		}
-	};
-}

fixed_wide_vectors/src/macros/mod.rs

@@ -1,5 +0,0 @@
-#[cfg(feature="fixed_wide_traits")]
-pub mod wide;
-
-pub mod vector;
-pub mod matrix;

fixed_wide_vectors/src/macros/vector.rs

@@ -1,304 +0,0 @@
-// Stolen from https://github.com/c1m50c/fixed-vectors (MIT license)
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_vector {
-	( $struct: ident { $($field: ident), + }, ( $($generic: ident), + ), $size: expr ) => {
-		impl<T> $struct<T> {
-			/// Constructs a new vector with the specified values for each field.
-			///
-			/// # Example
-			///
-			/// ```
-			/// use fixed_wide_vectors::Vector2;
-			///
-			/// let vec2 = Vector2::new(0, 0);
-			///
-			/// assert_eq!(vec2.x, 0);
-			/// assert_eq!(vec2.y, 0);
-			/// ```
-			#[inline(always)]
-			pub const fn new( $($field: T), + ) -> Self {
-				Self {
-					$( $field ), +
-				}
-			}
-
-			/// Consumes the vector and returns its values as an array.
-			///
-			/// # Example
-			///
-			/// ```
-			/// use fixed_wide_vectors::Vector2;
-			///
-			/// let vec2 = Vector2::new(0, 0);
-			/// let array = vec2.to_array();
-			///
-			/// assert_eq!(array, [0, 0]);
-			/// ```
-			#[inline(always)]
-			pub fn to_array(self) -> [T; $size] {
-				[ $(self.$field), + ]
-			}
-
-			/// Consumes the vector and returns its values as a tuple.
-			///
-			/// # Example
-			///
-			/// ```
-			/// use fixed_wide_vectors::Vector2;
-			///
-			/// let vec2 = Vector2::new(0, 0);
-			/// let tuple = vec2.to_tuple();
-			///
-			/// assert_eq!(tuple, (0, 0));
-			/// ```
-			#[inline(always)]
-			pub fn to_tuple(self) -> ( $($generic), + ) {
-				( $(self.$field), + )
-			}
-
-			/// Consumes the vector and returns a new vector with the given function applied on each field.
-			///
-			/// # Example
-			///
-			/// ```
-			/// use fixed_wide_vectors::Vector2;
-			///
-			/// let vec2 = Vector2::new(1, 2)
-			///     .map(|i| i * 2);
-			///
-			/// assert_eq!(vec2, Vector2::new(2, 4));
-			/// ```
-			#[inline]
-			pub fn map<F, U>(self, f: F) -> $struct<U>
-			where
-				F: Fn(T) -> U
-			{
-				$struct {
-					$( $field: f(self.$field) ), +
-				}
-			}
-		}
-
-		impl<T: Copy> $struct<T> {
-			/// Constructs a vector using the given `value` as the value for all of its fields.
-			///
-			/// # Example
-			///
-			/// ```
-			/// use fixed_wide_vectors::Vector2;
-			///
-			/// let vec2 = Vector2::from_value(0);
-			///
-			/// assert_eq!(vec2, Vector2::new(0, 0));
-			/// ```
-			#[inline(always)]
-			pub const fn from_value(value: T) -> Self {
-				Self {
-					$( $field: value ), +
-				}
-			}
-		}
-
-		impl<T> From<[T; $size]> for $struct<T> {
-			fn from(from: [T; $size]) -> Self {
-				let mut iterator = from.into_iter();
-
-				Self {
-					// SAFETY: We know the size of `from` so `iterator.next()` is always `Some(..)`
-					$( $field: unsafe { iterator.next().unwrap_unchecked() } ), +
-				}
-			}
-		}
-
-		impl<T> From<($($generic), +)> for $struct<T> {
-			fn from(from: ($($generic), +)) -> Self {
-				let ( $($field), + ) = from;
-
-				Self {
-					$( $field ), +
-				}
-			}
-		}
-
-		impl<T: core::fmt::Debug> core::fmt::Debug for $struct<T> {
-			fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
-				let identifier = core::stringify!($struct);
-
-				f.debug_struct(identifier)
-					$( .field( core::stringify!($field), &self.$field ) ) +
-					.finish()
-			}
-		}
-
-		impl<T: PartialEq> PartialEq for $struct<T> {
-			fn eq(&self, other: &Self) -> bool {
-				$( self.$field == other.$field ) && +
-			}
-		}
-
-		impl<T: Eq> Eq for $struct<T> {  }
-
-		impl<T: core::hash::Hash> core::hash::Hash for $struct<T> {
-			fn hash<H: core::hash::Hasher>(&self, state: &mut H) {
-				$( self.$field.hash(state); ) +
-			}
-		}
-
-		impl<T: Clone> Clone for $struct<T> {
-			fn clone(&self) -> Self {
-				Self {
-					$( $field: self.$field.clone() ), +
-				}
-			}
-		}
-
-		impl<T: Copy> Copy for $struct<T> {  }
-
-		impl<T: Default> Default for $struct<T> {
-			fn default() -> Self {
-				Self {
-					$( $field: T::default() ), +
-				}
-			}
-		}
-
-		impl<T: Ord> $struct<T> {
-			pub fn min(self, rhs: Self) -> $struct<T> {
-				$struct{
-					$( $field: self.$field.min(rhs.$field) ), +
-				}
-			}
-			pub fn max(self, rhs: Self) -> $struct<T> {
-				$struct{
-					$( $field: self.$field.max(rhs.$field) ), +
-				}
-			}
-			pub fn cmp(self, rhs: Self) -> $struct<core::cmp::Ordering> {
-				$struct{
-					$( $field: self.$field.cmp(&rhs.$field) ), +
-				}
-			}
-			pub fn lt(self, rhs: Self) -> $struct<bool> {
-				$struct{
-					$( $field: self.$field.lt(&rhs.$field) ), +
-				}
-			}
-			pub fn gt(self, rhs: Self) -> $struct<bool> {
-				$struct{
-					$( $field: self.$field.gt(&rhs.$field) ), +
-				}
-			}
-			pub fn ge(self, rhs: Self) -> $struct<bool> {
-				$struct{
-					$( $field: self.$field.ge(&rhs.$field) ), +
-				}
-			}
-			pub fn le(self, rhs: Self) -> $struct<bool> {
-				$struct{
-					$( $field: self.$field.le(&rhs.$field) ), +
-				}
-			}
-		}
-
-		impl $struct<bool>{
-			pub fn all(&self)->bool{
-				const ALL:[bool;$size]=[true;$size];
-				core::matches!(self.to_array(),ALL)
-			}
-			pub fn any(&self)->bool{
-				$( self.$field )|| +
-			}
-		}
-
-		impl<T: core::ops::Neg<Output = T>> core::ops::Neg for $struct<T> {
-			type Output = Self;
-
-			fn neg(self) -> Self::Output {
-				Self {
-					$( $field: -self.$field ), +
-				}
-			}
-		}
-
-		// Impl arithmetic pperators
-		$crate::impl_vector_operator!( $struct { $($field), + }, AddAssign, add_assign );
-		$crate::impl_vector_operator!( $struct { $($field), + }, Add, add, Self );
-		$crate::impl_vector_operator!( $struct { $($field), + }, SubAssign, sub_assign );
-		$crate::impl_vector_operator!( $struct { $($field), + }, Sub, sub, Self );
-		$crate::impl_vector_operator!( $struct { $($field), + }, MulAssign, mul_assign );
-		$crate::impl_vector_operator!( $struct { $($field), + }, Mul, mul, Self );
-		$crate::impl_vector_operator!( $struct { $($field), + }, DivAssign, div_assign );
-		$crate::impl_vector_operator!( $struct { $($field), + }, Div, div, Self );
-		$crate::impl_vector_operator!( $struct { $($field), + }, RemAssign, rem_assign );
-		$crate::impl_vector_operator!( $struct { $($field), + }, Rem, rem, Self );
-
-		// Impl bitwise operators
-		$crate::impl_vector_operator!( $struct { $($field), + }, BitAndAssign, bitand_assign );
-		$crate::impl_vector_operator!( $struct { $($field), + }, BitAnd, bitand, Self );
-		$crate::impl_vector_operator!( $struct { $($field), + }, BitOrAssign, bitor_assign );
-		$crate::impl_vector_operator!( $struct { $($field), + }, BitOr, bitor, Self );
-		$crate::impl_vector_operator!( $struct { $($field), + }, BitXorAssign, bitxor_assign );
-		$crate::impl_vector_operator!( $struct { $($field), + }, BitXor, bitxor, Self );
-
-		// Impl floating-point based methods
-		#[cfg(feature="fixed_wide_traits")]
-		$crate::impl_wide_vector_operations!( $struct { $($field), + }, $size );
-	};
-}
-
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_extend {
-	( $struct: ident { $($field: ident), + }, $struct_extended: ident, $field_extended: ident ) => {
-		impl<T> $struct<T> {
-			#[inline(always)]
-			pub fn extend(self,value:T) -> $struct_extended<T> {
-				$struct_extended {
-					$( $field:self.$field, ) +
-					$field_extended:value
-				}
-			}
-		}
-	};
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_vector_operator {
-	( $struct: ident { $($field: ident), + }, $trait: ident, $method: ident, $output: ty ) => {
-		impl<T:core::ops::$trait<Output=T>> core::ops::$trait for $struct<T> {
-			type Output = $output;
-
-			fn $method(self, other: Self) -> Self::Output {
-				Self {
-					$( $field: self.$field.$method(other.$field) ), +
-				}
-			}
-		}
-		impl<T:core::ops::$trait<Output=T>+Copy> core::ops::$trait<T> for $struct<T>{
-			type Output = $output;
-
-			fn $method(self, other: T) -> Self::Output {
-				$struct {
-					$( $field: self.$field.$method(other) ), +
-				}
-			}
-		}
-	};
-
-	( $struct: ident { $($field: ident), + }, $trait: ident, $method: ident ) => {
-		impl<T: core::ops::$trait> core::ops::$trait for $struct<T> {
-			fn $method(&mut self, other: Self)  {
-				$( self.$field.$method(other.$field) ); +
-			}
-		}
-
-		impl<T: core::ops::$trait + Copy> core::ops::$trait<T> for $struct<T> {
-			fn $method(&mut self, other: T)  {
-				$( self.$field.$method(other) ); +
-			}
-		}
-	};
-}

fixed_wide_vectors/src/macros/wide.rs

@@ -1,43 +0,0 @@
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_wide_vector_operations {
-	( $struct: ident { $($field: ident), + }, $size: expr ) => {
-		impl<U,T:Copy+fixed_wide_traits::wide::WideMul<Output=U>> fixed_wide_traits::wide::WideMul for $struct<T> {
-			type Output=$struct<U>;
-			#[inline]
-			fn wide_mul(self, rhs: Self) -> Self::Output {
-				$struct{
-					$( $field: self.$field.wide_mul(rhs.$field) ), +
-				}
-			}
-		}
-		impl<V:core::ops::Add<Output=V>,U,T:fixed_wide_traits::wide::WideMul<U,Output=V>> fixed_wide_traits::wide::WideDot<$struct<U>> for $struct<T> {
-			type Output=V;
-			#[inline]
-			fn wide_dot(self, rhs: $struct<U>) -> Self::Output {
-				$crate::sum_repeating!(
-					$( + (self.$field.wide_mul(rhs.$field)) ) +
-				)
-			}
-		}
-		impl<U:std::ops::Add<Output=U>,T:Copy+fixed_wide_traits::wide::WideMul<Output=U>> $struct<T> {
-			#[inline]
-			pub fn wide_length_squared(&self) -> U {
-				$crate::sum_repeating!(
-					$( + self.$field.wide_mul(self.$field) ) +
-				)
-			}
-		}
-	};
-}
-
-
-// HACK: Allows us to sum repeating tokens in macros.
-// See: https://stackoverflow.com/a/60187870/17452730
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! sum_repeating {
-	( + $($item: tt) * ) => {
-		$($item) *
-	};
-}

fixed_wide_vectors/src/matrix.rs

@@ -1,30 +0,0 @@
-use crate::{Vector2,Vector3,Vector4};
-
-pub struct Matrix2<T> {
-	pub x_axis: T,
-	pub y_axis: T,
-}
-pub struct Matrix3<T> {
-	pub x_axis: T,
-	pub y_axis: T,
-	pub z_axis: T,
-}
-pub struct Matrix4<T> {
-	pub x_axis: T,
-	pub y_axis: T,
-	pub z_axis: T,
-	pub w_axis: T,
-}
-
-crate::impl_extend!(Matrix2 { x_axis, y_axis }, Matrix3, z_axis);
-crate::impl_extend!(Matrix3 { x_axis, y_axis, z_axis }, Matrix4, w_axis);
-
-crate::impl_matrix!((Matrix2 { x_axis, y_axis }, Vector2 { x, y }, 2), (Vector2 { x, y }, Matrix2 { x_axis, y_axis }, 2), ((T, T), (T, T)) );
-crate::impl_matrix!((Matrix2 { x_axis, y_axis }, Vector2 { x, y }, 2), (Vector3 { x, y, z }, Matrix3 { x_axis, y_axis, z_axis }, 3), ((T, T, T), (T, T, T)) );
-crate::impl_matrix!((Matrix2 { x_axis, y_axis }, Vector2 { x, y }, 2), (Vector4 { x, y, z, w }, Matrix4 { x_axis, y_axis, z_axis, w_axis }, 4), ((T, T, T, T), (T, T, T, T)) );
-crate::impl_matrix!((Matrix3 { x_axis, y_axis, z_axis }, Vector3 { x, y, z }, 3), (Vector2 { x, y }, Matrix2 { x_axis, y_axis }, 2), ((T, T), (T, T), (T, T)) );
-crate::impl_matrix!((Matrix3 { x_axis, y_axis, z_axis }, Vector3 { x, y, z }, 3), (Vector3 { x, y, z }, Matrix3 { x_axis, y_axis, z_axis }, 3), ((T, T, T), (T, T, T), (T, T, T)) );
-crate::impl_matrix!((Matrix3 { x_axis, y_axis, z_axis }, Vector3 { x, y, z }, 3), (Vector4 { x, y, z, w }, Matrix4 { x_axis, y_axis, z_axis, w_axis }, 4), ((T, T, T, T), (T, T, T, T), (T, T, T, T)) );
-crate::impl_matrix!((Matrix4 { x_axis, y_axis, z_axis, w_axis }, Vector4 { x, y, z, w }, 4), (Vector2 { x, y }, Matrix2 { x_axis, y_axis }, 2), ((T, T), (T, T), (T, T), (T, T)) );
-crate::impl_matrix!((Matrix4 { x_axis, y_axis, z_axis, w_axis }, Vector4 { x, y, z, w }, 4), (Vector3 { x, y, z }, Matrix3 { x_axis, y_axis, z_axis }, 3), ((T, T, T), (T, T, T), (T, T, T), (T, T, T)) );
-crate::impl_matrix!((Matrix4 { x_axis, y_axis, z_axis, w_axis }, Vector4 { x, y, z, w }, 4), (Vector4 { x, y, z, w }, Matrix4 { x_axis, y_axis, z_axis, w_axis }, 4), ((T, T, T, T), (T, T, T, T), (T, T, T, T), (T, T, T, T)) );

fixed_wide_vectors/src/tests/fixed_wide_traits.rs

@@ -1,68 +0,0 @@
-use fixed_wide_traits::wide::WideMul;
-use fixed_wide_traits::wide::WideDot;
-
-use crate::{Vector2,Vector3,Matrix3};
-
-type Planar64=fixed_wide::types::I32F32;
-type Planar64Wide1=fixed_wide::types::I64F64;
-//type Planar64Wide2=fixed_wide::types::I128F128;
-type Planar64Wide3=fixed_wide::types::I256F256;
-
-#[test]
-fn wide_int64() {
-	let a=Planar64::from(2);
-	let b=Planar64::from(3);
-
-	let w1=a.wide_mul(b);
-	let w2=w1.wide_mul(w1);
-	let w3=w2.wide_mul(w2);
-
-	assert_eq!(w3,Planar64Wide3::from((3i128*2).pow(4)));
-}
-
-#[test]
-fn wide_vec3(){
-	let v=Vector3::from_value(Planar64::from(3));
-	let v1=v.wide_mul(v);
-	let v2=v1.wide_mul(v1);
-	let v3=v2.wide_mul(v2);
-
-	assert_eq!(v3,Vector3::from_value(Planar64Wide3::from(3i128.pow(8))));
-}
-
-#[test]
-fn wide_vec3_dot(){
-	let v=Vector3::from_value(Planar64::from(3));
-	let v1=v.wide_mul(v);
-	let v2=v1.wide_mul(v1);
-	let v3=v2.wide_dot(v2);
-
-	assert_eq!(v3,Planar64Wide3::from(3i128.pow(8)*3));
-}
-
-#[test]
-fn wide_vec3_length_squared(){
-	let v=Vector3::from_value(Planar64::from(3));
-	let v1=v.wide_mul(v);
-	let v2=v1.wide_mul(v1);
-	let v3=v2.wide_length_squared();
-
-	assert_eq!(v3,Planar64Wide3::from(3i128.pow(8)*3));
-}
-
-#[test]
-fn wide_vec_of_vec_dot(){
-	let vv=Vector3::<Vector2<_>>::from_value_2d(Planar64::from(3));
-	// do the dot product of the inner vectors multiplied component wise
-	// this lowers the rank of the data structure and is kind of a weird operation lol
-	let vv_dot=vv.wide_dot(vv);
-	assert_eq!(vv_dot,Vector2::from_value(Planar64Wide1::from(3i128.pow(3))));
-}
-#[test]
-fn wide_matrix_dot(){
-	let m=Matrix3::<Vector3<_>>::from_value_2d(Planar64::from(3));
-	//normal matrix product
-	todo!()
-	//let m_dot=m.wide_dot(m);
-	//assert_eq!(m_dot,Matrix3::<Vector3<_>>::from_value_2d(Planar64Wide1::from(3i128.pow(2))));
-}

fixed_wide_vectors/src/tests/mod.rs

@@ -1,5 +0,0 @@
-mod tests;
-
-
-#[cfg(feature="fixed_wide_traits")]
-mod fixed_wide_traits;

fixed_wide_vectors/src/tests/tests.rs

@@ -1,16 +0,0 @@
-type Planar64=fixed_wide::types::I32F32;
-//type Planar64Wide1=fixed::types::I64F64;
-//type Planar64Wide2=fixed_wide::types::I128F128;
-type Planar64Wide3=fixed_wide::types::I256F256;
-
-#[test]
-fn you_can_add_numbers(){
-	let a=Planar64Wide3::from((3i128*2).pow(4));
-	assert_eq!(a+a,Planar64Wide3::from((3i128*2).pow(4)*2))
-}
-
-#[test]
-fn you_can_shr_numbers(){
-	let a=Planar64::from(4);
-	assert_eq!(a>>1,Planar64::from(2))
-}

fixed_wide_vectors/src/vector.rs

@@ -1,81 +0,0 @@
-// Stolen from https://github.com/c1m50c/fixed-vectors (MIT license)
-
-/// Vector for holding two-dimensional values.
-///
-/// # Example
-///
-/// ```
-/// use fixed_wide_vectors::Vector2;
-///
-/// let mut vec2 = Vector2::new(1, 2);
-/// vec2 += Vector2::new(1, 2);
-///
-/// assert_eq!(vec2.x, 2);
-/// assert_eq!(vec2.y, 4);
-/// ```
-pub struct Vector2<T> {
-	pub x: T,
-	pub y: T,
-}
-
-
-/// Vector for holding three-dimensional values.
-///
-/// # Example
-///
-/// ```
-/// use fixed_wide_vectors::Vector3;
-///
-/// let mut vec3 = Vector3::new(1, 2, 3);
-/// vec3 += Vector3::new(1, 2, 3);
-///
-/// assert_eq!(vec3.x, 2);
-/// assert_eq!(vec3.y, 4);
-/// assert_eq!(vec3.z, 6);
-/// ```
-pub struct Vector3<T> {
-	pub x: T,
-	pub y: T,
-	pub z: T,
-}
-
-
-/// Vector for holding four-dimensional values.
-///
-/// # Example
-///
-/// ```
-/// use fixed_wide_vectors::Vector4;
-///
-/// let mut vec4 = Vector4::new(1, 2, 3, 4);
-/// vec4 += Vector4::new(1, 2, 3, 4);
-///
-/// assert_eq!(vec4.x, 2);
-/// assert_eq!(vec4.y, 4);
-/// assert_eq!(vec4.z, 6);
-/// assert_eq!(vec4.w, 8);
-/// ```
-pub struct Vector4<T> {
-	pub x: T,
-	pub y: T,
-	pub z: T,
-	pub w: T,
-}
-
-
-crate::impl_vector!(Vector2 { x, y }, (T, T), 2);
-crate::impl_vector!(Vector3 { x, y, z }, (T, T, T), 3);
-crate::impl_vector!(Vector4 { x, y, z, w }, (T, T, T, T), 4);
-
-crate::impl_extend!(Vector2 { x, y }, Vector3, z);
-crate::impl_extend!(Vector3 { x, y, z }, Vector4, w);
-
-crate::impl_matrix!((Vector2 { x, y }, Vector2 { x, y }, 2), (Vector2 { x, y }, Vector2 { x, y }, 2), ((T, T), (T, T)) );
-crate::impl_matrix!((Vector2 { x, y }, Vector2 { x, y }, 2), (Vector3 { x, y, z }, Vector3 { x, y, z }, 3), ((T, T, T), (T, T, T)) );
-crate::impl_matrix!((Vector2 { x, y }, Vector2 { x, y }, 2), (Vector4 { x, y, z, w }, Vector4 { x, y, z, w }, 4), ((T, T, T, T), (T, T, T, T)) );
-crate::impl_matrix!((Vector3 { x, y, z }, Vector3 { x, y, z }, 3), (Vector2 { x, y }, Vector2 { x, y }, 2), ((T, T), (T, T), (T, T)) );
-crate::impl_matrix!((Vector3 { x, y, z }, Vector3 { x, y, z }, 3), (Vector3 { x, y, z }, Vector3 { x, y, z }, 3), ((T, T, T), (T, T, T), (T, T, T)) );
-crate::impl_matrix!((Vector3 { x, y, z }, Vector3 { x, y, z }, 3), (Vector4 { x, y, z, w }, Vector4 { x, y, z, w }, 4), ((T, T, T, T), (T, T, T, T), (T, T, T, T)) );
-crate::impl_matrix!((Vector4 { x, y, z, w }, Vector4 { x, y, z, w }, 4), (Vector2 { x, y }, Vector2 { x, y }, 2), ((T, T), (T, T), (T, T), (T, T)) );
-crate::impl_matrix!((Vector4 { x, y, z, w }, Vector4 { x, y, z, w }, 4), (Vector3 { x, y, z }, Vector3 { x, y, z }, 3), ((T, T, T), (T, T, T), (T, T, T), (T, T, T)) );
-crate::impl_matrix!((Vector4 { x, y, z, w }, Vector4 { x, y, z, w }, 4), (Vector4 { x, y, z, w }, Vector4 { x, y, z, w }, 4), ((T, T, T, T), (T, T, T, T), (T, T, T, T), (T, T, T, T)) );

linear_ops/Cargo.lock

@@ -4,33 +4,33 @@ version = 3
 
 [[package]]
 name = "bnum"
-version = "0.11.0"
+version = "0.12.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3e31ea183f6ee62ac8b8a8cf7feddd766317adfb13ff469de57ce033efd6a790"
-
-[[package]]
-name = "deferred_division"
-version = "0.1.0"
-dependencies = [
- "fixed_wide",
- "fixed_wide_traits",
-]
+checksum = "50202def95bf36cb7d1d7a7962cea1c36a3f8ad42425e5d2b71d7acb8041b5b8"
 
 [[package]]
 name = "fixed_wide"
-version = "0.1.0"
+version = "0.1.1"
 dependencies = [
  "bnum",
- "fixed_wide_traits",
- "typenum",
+ "paste",
 ]
 
 [[package]]
-name = "fixed_wide_traits"
+name = "linear_ops"
 version = "0.1.0"
+dependencies = [
+ "fixed_wide",
+ "paste",
+ "ratio_ops",
+]
 
 [[package]]
-name = "typenum"
-version = "1.17.0"
+name = "paste"
+version = "1.0.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"
+checksum = "57c0d7b74b563b49d38dae00a0c37d4d6de9b432382b2892f0574ddcae73fd0a"
+
+[[package]]
+name = "ratio_ops"
+version = "0.1.0"

linear_ops/Cargo.toml

@@ -0,0 +1,22 @@
+[package]
+name = "linear_ops"
+version = "0.1.0"
+edition = "2021"
+repository = "https://git.itzana.me/StrafesNET/fixed_wide_vectors"
+license = "MIT OR Apache-2.0"
+description = "Vector/Matrix operations using trait bounds."
+authors = ["Rhys Lloyd <krakow20@gmail.com>"]
+
+[features]
+default=["named-fields","fixed-wide"]
+named-fields=[]
+fixed-wide=["dep:fixed_wide","dep:paste"]
+deferred-division=["dep:ratio_ops"]
+
+[dependencies]
+ratio_ops = { version = "0.1.0", path = "../ratio_ops", registry = "strafesnet", optional = true }
+fixed_wide = { version = "0.1.0", path = "../fixed_wide", registry = "strafesnet", optional = true }
+paste = { version = "1.0.15", optional = true }
+
+[dev-dependencies]
+fixed_wide = { version = "0.1.0", path = "../fixed_wide", registry = "strafesnet", features = ["wide-mul"] }

linear_ops/LICENSE-APACHE

@@ -0,0 +1,176 @@
+                              Apache License
+                        Version 2.0, January 2004
+                     http://www.apache.org/licenses/
+
+TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+1. Definitions.
+
+   "License" shall mean the terms and conditions for use, reproduction,
+   and distribution as defined by Sections 1 through 9 of this document.
+
+   "Licensor" shall mean the copyright owner or entity authorized by
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+
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+   direction or management of such entity, whether by contract or
+   otherwise, or (ii) ownership of fifty percent (50%) or more of the
+   outstanding shares, or (iii) beneficial ownership of such entity.
+
+   "You" (or "Your") shall mean an individual or Legal Entity
+   exercising permissions granted by this License.
+
+   "Source" form shall mean the preferred form for making modifications,
+   including but not limited to software source code, documentation
+   source, and configuration files.
+
+   "Object" form shall mean any form resulting from mechanical
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+   not limited to compiled object code, generated documentation,
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+
+   "Work" shall mean the work of authorship, whether in Source or
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+   copyright notice that is included in or attached to the work
+   (an example is provided in the Appendix below).
+
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+   for use, reproduction, or distribution of Your modifications, or
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+   the conditions stated in this License.
+
+5. Submission of Contributions. Unless You explicitly state otherwise,
+   any Contribution intentionally submitted for inclusion in the Work
+   by You to the Licensor shall be under the terms and conditions of
+   this License, without any additional terms or conditions.
+   Notwithstanding the above, nothing herein shall supersede or modify
+   the terms of any separate license agreement you may have executed
+   with Licensor regarding such Contributions.
+
+6. Trademarks. This License does not grant permission to use the trade
+   names, trademarks, service marks, or product names of the Licensor,
+   except as required for reasonable and customary use in describing the
+   origin of the Work and reproducing the content of the NOTICE file.
+
+7. Disclaimer of Warranty. Unless required by applicable law or
+   agreed to in writing, Licensor provides the Work (and each
+   Contributor provides its Contributions) on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+   implied, including, without limitation, any warranties or conditions
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+   PARTICULAR PURPOSE. You are solely responsible for determining the
+   appropriateness of using or redistributing the Work and assume any
+   risks associated with Your exercise of permissions under this License.
+
+8. Limitation of Liability. In no event and under no legal theory,
+   whether in tort (including negligence), contract, or otherwise,
+   unless required by applicable law (such as deliberate and grossly
+   negligent acts) or agreed to in writing, shall any Contributor be
+   liable to You for damages, including any direct, indirect, special,
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+   on Your own behalf and on Your sole responsibility, not on behalf
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+   defend, and hold each Contributor harmless for any liability
+   incurred by, or claims asserted against, such Contributor by reason
+   of your accepting any such warranty or additional liability.
+
+END OF TERMS AND CONDITIONS

linear_ops/LICENSE-MIT

@@ -0,0 +1,23 @@
+Permission is hereby granted, free of charge, to any
+person obtaining a copy of this software and associated
+documentation files (the "Software"), to deal in the
+Software without restriction, including without
+limitation the rights to use, copy, modify, merge,
+publish, distribute, sublicense, and/or sell copies of
+the Software, and to permit persons to whom the Software
+is furnished to do so, subject to the following
+conditions:
+
+The above copyright notice and this permission notice
+shall be included in all copies or substantial portions
+of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF
+ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED
+TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
+PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT
+SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR
+IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+DEALINGS IN THE SOFTWARE.

linear_ops/src/lib.rs

@@ -0,0 +1,10 @@
+mod macros;
+pub mod types;
+pub mod vector;
+pub mod matrix;
+
+#[cfg(feature="named-fields")]
+mod named;
+
+#[cfg(test)]
+mod tests;

linear_ops/src/macros/common.rs

@@ -0,0 +1 @@
+

linear_ops/src/macros/fixed_wide.rs

@@ -0,0 +1,79 @@
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_fixed_wide_vector_not_const_generic {
+	(
+		(),
+		$n:expr
+	) => {
+		impl<const N:usize> Vector<N,fixed_wide::fixed::Fixed<$n,{$n*32}>>{
+			#[inline]
+			pub fn length(self)-><fixed_wide::fixed::Fixed::<$n,{$n*32}> as core::ops::Mul>::Output{
+				self.length_squared().sqrt_unchecked()
+			}
+			#[inline]
+			pub fn with_length<U,V>(self,length:U)-><Vector<N,V> as core::ops::Div<<fixed_wide::fixed::Fixed::<$n,{$n*32}> as core::ops::Mul>::Output>>::Output
+				where
+					fixed_wide::fixed::Fixed<$n,{$n*32}>:core::ops::Mul<U,Output=V>,
+					U:Copy,
+					V:core::ops::Div<<fixed_wide::fixed::Fixed::<$n,{$n*32}> as core::ops::Mul>::Output>,
+			{
+				self*length/self.length()
+			}
+		}
+	};
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! macro_4 {
+	( $macro: ident, $any:tt ) => {
+		$crate::macro_repeated!($macro,$any,1,2,3,4);
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_fixed_wide_vector {
+	() => {
+		$crate::macro_4!(impl_fixed_wide_vector_not_const_generic,());
+		// I LOVE NOT BEING ABLE TO USE CONST GENERICS
+		$crate::macro_repeated!(
+			impl_fix_not_const_generic,(),
+			(1,1),(2,1),(3,1),(4,1),(5,1),(6,1),(7,1),(8,1),(9,1),(10,1),(11,1),(12,1),(13,1),(14,1),(15,1),(16,1),
+			(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(7,2),(8,2),(9,2),(10,2),(11,2),(12,2),(13,2),(14,2),(15,2),(16,2),
+			(1,3),(2,3),(3,3),(4,3),(5,3),(6,3),(7,3),(8,3),(9,3),(10,3),(11,3),(12,3),(13,3),(14,3),(15,3),(16,3),
+			(1,4),(2,4),(3,4),(4,4),(5,4),(6,4),(7,4),(8,4),(9,4),(10,4),(11,4),(12,4),(13,4),(14,4),(15,4),(16,4),
+			(1,5),(2,5),(3,5),(4,5),(5,5),(6,5),(7,5),(8,5),(9,5),(10,5),(11,5),(12,5),(13,5),(14,5),(15,5),(16,5),
+			(1,6),(2,6),(3,6),(4,6),(5,6),(6,6),(7,6),(8,6),(9,6),(10,6),(11,6),(12,6),(13,6),(14,6),(15,6),(16,6),
+			(1,7),(2,7),(3,7),(4,7),(5,7),(6,7),(7,7),(8,7),(9,7),(10,7),(11,7),(12,7),(13,7),(14,7),(15,7),(16,7),
+			(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),(8,8),(9,8),(10,8),(11,8),(12,8),(13,8),(14,8),(15,8),(16,8),
+			(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9),(9,9),(10,9),(11,9),(12,9),(13,9),(14,9),(15,9),(16,9),
+			(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10),(10,10),(11,10),(12,10),(13,10),(14,10),(15,10),(16,10),
+			(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11),(11,11),(12,11),(13,11),(14,11),(15,11),(16,11),
+			(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,12),(10,12),(11,12),(12,12),(13,12),(14,12),(15,12),(16,12),
+			(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,13),(8,13),(9,13),(10,13),(11,13),(12,13),(13,13),(14,13),(15,13),(16,13),
+			(1,14),(2,14),(3,14),(4,14),(5,14),(6,14),(7,14),(8,14),(9,14),(10,14),(11,14),(12,14),(13,14),(14,14),(15,14),(16,14),
+			(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,15),(10,15),(11,15),(12,15),(13,15),(14,15),(15,15),(16,15),
+			(1,16),(2,16),(3,16),(4,16),(5,16),(6,16),(7,16),(8,16),(9,16),(10,16),(11,16),(12,16),(13,16),(14,16),(15,16),(16,16)
+		);
+	};
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_fix_not_const_generic{
+	(
+		(),
+		($lhs:expr,$rhs:expr)
+	)=>{
+		impl<const N:usize> Vector<N,fixed_wide::fixed::Fixed<$lhs,{$lhs*32}>>
+		{
+			paste::item!{
+				#[inline]
+				pub fn [<fix_ $rhs>](self)->Vector<N,fixed_wide::fixed::Fixed<$rhs,{$rhs*32}>>{
+					self.map(|t|t.[<fix_ $rhs>]())
+				}
+			}
+		}
+	}
+}

linear_ops/src/macros/matrix.rs

@@ -0,0 +1,272 @@
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_matrix {
+	() => {
+		impl<const X:usize,const Y:usize,T> Matrix<X,Y,T>{
+			#[inline(always)]
+			pub const fn new(array:[[T;Y];X])->Self{
+				Self{array}
+			}
+			#[inline(always)]
+			pub fn to_array(self)->[[T;Y];X]{
+				self.array
+			}
+			#[inline]
+			pub fn from_cols(cols:[Vector<Y,T>;X])->Self
+			{
+				Matrix::new(
+					cols.map(|col|col.array),
+				)
+			}
+			#[inline]
+			pub fn map<F,U>(self,f:F)->Matrix<X,Y,U>
+			where
+				F:Fn(T)->U
+			{
+				Matrix::new(
+					self.array.map(|inner|inner.map(&f)),
+				)
+			}
+			#[inline]
+			pub fn transpose(self)->Matrix<Y,X,T>{
+				//how did I think of this
+				let mut array_of_iterators=self.array.map(|axis|axis.into_iter());
+				Matrix::new(
+					core::array::from_fn(|_|
+						array_of_iterators.each_mut().map(|iter|
+							iter.next().unwrap()
+						)
+					)
+				)
+			}
+			#[inline]
+			// old (list of rows)    MatY<VecX>.MatX<VecZ> = MatY<VecZ>
+			// new (list of columns) MatX<VecY>.MatZ<VecX> = MatZ<VecY>
+			pub fn dot<const Z:usize,U,V>(self,rhs:Matrix<Z,X,U>)->Matrix<Z,Y,V>
+			where
+				T:core::ops::Mul<U,Output=V>+Copy,
+				V:core::iter::Sum,
+				U:Copy,
+			{
+				let mut array_of_iterators=self.array.map(|axis|axis.into_iter().cycle());
+				Matrix{
+					array:rhs.array.map(|rhs_axis|
+						core::array::from_fn(|_|
+							array_of_iterators
+								.iter_mut()
+								.zip(rhs_axis.iter())
+								.map(|(lhs_iter,&rhs_value)|
+									lhs_iter.next().unwrap()*rhs_value
+								).sum()
+						)
+					)
+				}
+			}
+			#[inline]
+			// MatX<VecY>.VecY = VecX
+			pub fn transform_vector<U,V>(self,rhs:Vector<X,U>)->Vector<Y,V>
+			where
+				T:core::ops::Mul<U,Output=V>,
+				V:core::iter::Sum,
+				U:Copy,
+			{
+				let mut array_of_iterators=self.array.map(|axis|axis.into_iter());
+				Vector::new(
+					core::array::from_fn(|_|
+						array_of_iterators
+							.iter_mut()
+							.zip(rhs.array.iter())
+							.map(|(lhs_iter,&rhs_value)|
+								lhs_iter.next().unwrap()*rhs_value
+							).sum()
+					)
+				)
+			}
+		}
+		impl<const X:usize,const Y:usize,T> Matrix<X,Y,T>
+		where
+			T:Copy
+		{
+			#[inline(always)]
+			pub const fn from_value(value:T)->Self{
+				Self::new([[value;Y];X])
+			}
+		}
+
+		impl<const X:usize,const Y:usize,T:Default> Default for Matrix<X,Y,T>{
+			#[inline]
+			fn default()->Self{
+				Self::new(
+					core::array::from_fn(|_|core::array::from_fn(|_|Default::default()))
+				)
+			}
+		}
+
+		impl<const X:usize,const Y:usize,T:core::fmt::Display> core::fmt::Display for Matrix<X,Y,T>{
+			#[inline]
+			fn fmt(&self,f:&mut core::fmt::Formatter)->Result<(),core::fmt::Error>{
+				for col in &self.array[0..X]{
+					core::write!(f,"\n")?;
+					for elem in &col[0..Y-1]{
+						core::write!(f,"{}, ",elem)?;
+					}
+					// assume we will be using matrices of size 1x1 or greater
+					core::write!(f,"{}",col.last().unwrap())?;
+				}
+				Ok(())
+			}
+		}
+
+		impl<const X:usize,const Y:usize,const Z:usize,T,U,V> core::ops::Mul<Matrix<Z,X,U>> for Matrix<X,Y,T>
+		where
+			T:core::ops::Mul<U,Output=V>+Copy,
+			V:core::iter::Sum,
+			U:Copy,
+		{
+			type Output=Matrix<Z,Y,V>;
+			#[inline]
+			fn mul(self,rhs:Matrix<Z,X,U>)->Self::Output{
+				self.dot(rhs)
+			}
+		}
+		impl<const X:usize,const Y:usize,T,U,V> core::ops::Mul<Vector<X,U>> for Matrix<X,Y,T>
+		where
+			T:core::ops::Mul<U,Output=V>,
+			V:core::iter::Sum,
+			U:Copy,
+		{
+			type Output=Vector<Y,V>;
+			#[inline]
+			fn mul(self,rhs:Vector<X,U>)->Self::Output{
+				self.transform_vector(rhs)
+			}
+		}
+		#[cfg(feature="deferred-division")]
+		$crate::impl_matrix_deferred_division!();
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_matrix_deferred_division {
+	() => {
+		impl<const X:usize,const Y:usize,T:ratio_ops::ratio::Divide<U,Output=V>,U:Copy,V> ratio_ops::ratio::Divide<U> for Matrix<X,Y,T>{
+			type Output=Matrix<X,Y,V>;
+			#[inline]
+			fn divide(self,rhs:U)->Self::Output{
+				self.map(|t|t.divide(rhs))
+			}
+		}
+		impl<const X:usize,const Y:usize,T,U> core::ops::Div<U> for Matrix<X,Y,T>{
+			type Output=ratio_ops::ratio::Ratio<Matrix<X,Y,T>,U>;
+			#[inline]
+			fn div(self,rhs:U)->Self::Output{
+				ratio_ops::ratio::Ratio::new(self,rhs)
+			}
+		}
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_matrix_extend {
+	( $x: expr, $y: expr ) => {
+		impl<T> Matrix<$x,$y,T>{
+			#[inline]
+			pub fn extend_column(self,value:Vector<$y,T>)->Matrix<{$x+1},$y,T>{
+				let mut iter=self.array.into_iter().chain(core::iter::once(value.array));
+				Matrix::new(
+					core::array::from_fn(|_|iter.next().unwrap()),
+				)
+			}
+			#[inline]
+			pub fn extend_row(self,value:Vector<$x,T>)->Matrix<$x,{$y+1},T>{
+				let mut iter_rows=value.array.into_iter();
+				Matrix::new(
+					self.array.map(|axis|{
+						let mut elements_iter=axis.into_iter().chain(core::iter::once(iter_rows.next().unwrap()));
+						core::array::from_fn(|_|elements_iter.next().unwrap())
+					})
+				)
+			}
+		}
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_matrix_named_fields_shape {
+	(
+		($struct_outer:ident, $size_outer: expr),
+		($size_inner: expr)
+	) => {
+		impl<T> core::ops::Deref for Matrix<$size_outer,$size_inner,T>{
+			type Target=$struct_outer<Vector<$size_inner,T>>;
+			#[inline]
+			fn deref(&self)->&Self::Target{
+				unsafe{core::mem::transmute(&self.array)}
+			}
+		}
+		impl<T> core::ops::DerefMut for Matrix<$size_outer,$size_inner,T>{
+			#[inline]
+			fn deref_mut(&mut self)->&mut Self::Target{
+				unsafe{core::mem::transmute(&mut self.array)}
+			}
+		}
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_matrix_named_fields_shape_shim {
+	(
+		($($vector_info:tt),+),
+		$matrix_info:tt
+	) => {
+		$crate::macro_repeated!(impl_matrix_named_fields_shape,$matrix_info,$($vector_info),+);
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_matrix_named_fields {
+	(
+		($($matrix_info:tt),+),
+		$vector_infos:tt
+	) => {
+		$crate::macro_repeated!(impl_matrix_named_fields_shape_shim,$vector_infos,$($matrix_info),+);
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_matrix_3x3 {
+	()=>{
+		impl<T,T2,T3> Matrix<3,3,T>
+		where
+			//cross
+			T:core::ops::Mul<T,Output=T2>+Copy,
+			T2:core::ops::Sub,
+			//dot
+			T:core::ops::Mul<<T2 as core::ops::Sub>::Output,Output=T3>,
+			T3:core::iter::Sum,
+		{
+			pub fn det(self)->T3{
+				self.x_axis.dot(self.y_axis.cross(self.z_axis))
+			}
+		}
+		impl<T,T2> Matrix<3,3,T>
+		where
+			T:core::ops::Mul<T,Output=T2>+Copy,
+			T2:core::ops::Sub,
+		{
+			pub fn adjugate(self)->Matrix<3,3,<T2 as core::ops::Sub>::Output>{
+				Matrix::new([
+					[self.y_axis.y*self.z_axis.z-self.y_axis.z*self.z_axis.y,self.x_axis.z*self.z_axis.y-self.x_axis.y*self.z_axis.z,self.x_axis.y*self.y_axis.z-self.x_axis.z*self.y_axis.y],
+					[self.y_axis.z*self.z_axis.x-self.y_axis.x*self.z_axis.z,self.x_axis.x*self.z_axis.z-self.x_axis.z*self.z_axis.x,self.x_axis.z*self.y_axis.x-self.x_axis.x*self.y_axis.z],
+					[self.y_axis.x*self.z_axis.y-self.y_axis.y*self.z_axis.x,self.x_axis.y*self.z_axis.x-self.x_axis.x*self.z_axis.y,self.x_axis.x*self.y_axis.y-self.x_axis.y*self.y_axis.x],
+				])
+			}
+		}
+	}
+}

linear_ops/src/macros/mod.rs

@@ -0,0 +1,20 @@
+pub mod common;
+pub mod vector;
+pub mod matrix;
+
+#[cfg(feature="fixed-wide")]
+pub mod fixed_wide;
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! macro_repeated{
+	(
+		$macro:ident,
+		$any:tt,
+		$($repeated:tt),*
+	)=>{
+		$(
+			$crate::$macro!($any, $repeated);
+		)*
+	};
+}

linear_ops/src/macros/vector.rs

@@ -0,0 +1,357 @@
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector {
+	() => {
+		impl<const N:usize,T> Vector<N,T>{
+			#[inline(always)]
+			pub const fn new(array:[T;N])->Self{
+				Self{array}
+			}
+			#[inline(always)]
+			pub fn to_array(self)->[T;N]{
+				self.array
+			}
+			#[inline]
+			pub fn map<F,U>(self,f:F)->Vector<N,U>
+			where
+				F:Fn(T)->U
+			{
+				Vector::new(
+					self.array.map(f)
+				)
+			}
+			#[inline]
+			pub fn map_zip<F,U,V>(self,other:Vector<N,U>,f:F)->Vector<N,V>
+			where
+				F:Fn((T,U))->V,
+			{
+				let mut iter=self.array.into_iter().zip(other.array);
+				Vector::new(
+					core::array::from_fn(|_|f(iter.next().unwrap())),
+				)
+			}
+		}
+		impl<const N:usize,T:Copy> Vector<N,T>{
+			#[inline(always)]
+			pub const fn from_value(value:T)->Self{
+				Self::new([value;N])
+			}
+		}
+
+		impl<const N:usize,T:Default> Default for Vector<N,T>{
+			#[inline]
+			fn default()->Self{
+				Self::new(
+					core::array::from_fn(|_|Default::default())
+				)
+			}
+		}
+
+		impl<const N:usize,T:core::fmt::Display> core::fmt::Display for Vector<N,T>{
+			#[inline]
+			fn fmt(&self,f:&mut core::fmt::Formatter)->Result<(),core::fmt::Error>{
+				for elem in &self.array[0..N-1]{
+					core::write!(f,"{}, ",elem)?;
+				}
+				// assume we will be using vectors of length 1 or greater
+				core::write!(f,"{}",self.array.last().unwrap())
+			}
+		}
+
+		impl<const N:usize,T:Ord> Vector<N,T>{
+			#[inline]
+			pub fn min(self,rhs:Self)->Self{
+				self.map_zip(rhs,|(a,b)|a.min(b))
+			}
+			#[inline]
+			pub fn max(self,rhs:Self)->Self{
+				self.map_zip(rhs,|(a,b)|a.max(b))
+			}
+			#[inline]
+			pub fn cmp(self,rhs:Self)->Vector<N,core::cmp::Ordering>{
+				self.map_zip(rhs,|(a,b)|a.cmp(&b))
+			}
+			#[inline]
+			pub fn lt(self,rhs:Self)->Vector<N,bool>{
+				self.map_zip(rhs,|(a,b)|a.lt(&b))
+			}
+			#[inline]
+			pub fn gt(self,rhs:Self)->Vector<N,bool>{
+				self.map_zip(rhs,|(a,b)|a.gt(&b))
+			}
+			#[inline]
+			pub fn ge(self,rhs:Self)->Vector<N,bool>{
+				self.map_zip(rhs,|(a,b)|a.ge(&b))
+			}
+			#[inline]
+			pub fn le(self,rhs:Self)->Vector<N,bool>{
+				self.map_zip(rhs,|(a,b)|a.le(&b))
+			}
+		}
+
+		impl<const N:usize> Vector<N,bool>{
+			#[inline]
+			pub fn all(&self)->bool{
+				self.array==[true;N]
+			}
+			#[inline]
+			pub fn any(&self)->bool{
+				self.array!=[false;N]
+			}
+		}
+
+		impl<const N:usize,T:core::ops::Neg<Output=V>,V> core::ops::Neg for Vector<N,T>{
+			type Output=Vector<N,V>;
+			#[inline]
+			fn neg(self)->Self::Output{
+				Vector::new(
+					self.array.map(|t|-t)
+				)
+			}
+		}
+
+		impl<const N:usize,T> Vector<N,T>
+		{
+			#[inline]
+			pub fn dot<U,V>(self,rhs:Vector<N,U>)->V
+			where
+				T:core::ops::Mul<U,Output=V>,
+				V:core::iter::Sum,
+			{
+				self.array.into_iter().zip(rhs.array).map(|(a,b)|a*b).sum()
+			}
+		}
+
+		impl<const N:usize,T,V> Vector<N,T>
+		where
+			T:core::ops::Mul<Output=V>+Copy,
+			V:core::iter::Sum,
+		{
+			#[inline]
+			pub fn length_squared(self)->V{
+				self.array.into_iter().map(|t|t*t).sum()
+			}
+		}
+
+		// Impl arithmetic operators
+		$crate::impl_vector_assign_operator!(AddAssign, add_assign );
+		$crate::impl_vector_operator!(Add, add );
+		$crate::impl_vector_assign_operator!(SubAssign, sub_assign );
+		$crate::impl_vector_operator!(Sub, sub );
+		$crate::impl_vector_assign_operator!(RemAssign, rem_assign );
+		$crate::impl_vector_operator!(Rem, rem );
+
+		// mul and div are special, usually you multiply by a scalar
+		// and implementing both vec*vec and vec*scalar is conflicting implementations Q_Q
+		$crate::impl_vector_assign_operator_scalar!(MulAssign, mul_assign );
+		$crate::impl_vector_operator_scalar!(Mul, mul );
+		$crate::impl_vector_assign_operator_scalar!(DivAssign, div_assign );
+		#[cfg(not(feature="deferred-division"))]
+		$crate::impl_vector_operator_scalar!(Div, div );
+		#[cfg(feature="deferred-division")]
+		$crate::impl_vector_deferred_division!();
+
+		// Impl bitwise operators
+		$crate::impl_vector_assign_operator!(BitAndAssign, bitand_assign );
+		$crate::impl_vector_operator!(BitAnd, bitand );
+		$crate::impl_vector_assign_operator!(BitOrAssign, bitor_assign );
+		$crate::impl_vector_operator!(BitOr, bitor );
+		$crate::impl_vector_assign_operator!(BitXorAssign, bitxor_assign );
+		$crate::impl_vector_operator!(BitXor, bitxor );
+
+		// Impl shift operators
+		$crate::impl_vector_shift_assign_operator!(ShlAssign, shl_assign);
+		$crate::impl_vector_shift_operator!(Shl, shl);
+		$crate::impl_vector_shift_assign_operator!(ShrAssign, shr_assign);
+		$crate::impl_vector_shift_operator!(Shr, shr);
+
+		// dedicated methods for this type
+		#[cfg(feature="fixed-wide")]
+		$crate::impl_fixed_wide_vector!();
+	}
+}
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_deferred_division {
+	() => {
+		impl<const N:usize,T:ratio_ops::ratio::Divide<U,Output=V>,U:Copy,V> ratio_ops::ratio::Divide<U> for Vector<N,T>{
+			type Output=Vector<N,V>;
+			#[inline]
+			fn divide(self,rhs:U)->Self::Output{
+				self.map(|t|t.divide(rhs))
+			}
+		}
+		impl<const N:usize,T,U> core::ops::Div<U> for Vector<N,T>{
+			type Output=ratio_ops::ratio::Ratio<Vector<N,T>,U>;
+			#[inline]
+			fn div(self,rhs:U)->Self::Output{
+				ratio_ops::ratio::Ratio::new(self,rhs)
+			}
+		}
+	}
+}
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_operator_scalar {
+	($trait: ident, $method: ident ) => {
+		impl<const N:usize,T:core::ops::$trait<U,Output=V>,U:Copy,V> core::ops::$trait<U> for Vector<N,T>{
+			type Output=Vector<N,V>;
+			#[inline]
+			fn $method(self,rhs:U)->Self::Output{
+				self.map(|t|t.$method(rhs))
+			}
+		}
+	}
+}
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_operator {
+	($trait: ident, $method: ident ) => {
+		impl<const N:usize,T:core::ops::$trait<U,Output=V>,U,V> core::ops::$trait<Vector<N,U>> for Vector<N,T>{
+			type Output=Vector<N,V>;
+			#[inline]
+			fn $method(self,rhs:Vector<N,U>)->Self::Output{
+				self.map_zip(rhs,|(a,b)|a.$method(b))
+			}
+		}
+		impl<const N:usize,T:core::ops::$trait<i64,Output=T>> core::ops::$trait<i64> for Vector<N,T>{
+			type Output=Self;
+			#[inline]
+			fn $method(self,rhs:i64)->Self::Output{
+				self.map(|t|t.$method(rhs))
+			}
+		}
+	}
+}
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_assign_operator_scalar {
+	($trait: ident, $method: ident ) => {
+		impl<const N:usize,T:core::ops::$trait<U>,U:Copy> core::ops::$trait<U> for Vector<N,T>{
+			#[inline]
+			fn $method(&mut self,rhs:U){
+				self.array.iter_mut()
+					.for_each(|t|t.$method(rhs))
+			}
+		}
+	}
+}
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_assign_operator {
+	($trait: ident, $method: ident ) => {
+		impl<const N:usize,T:core::ops::$trait<U>,U> core::ops::$trait<Vector<N,U>> for Vector<N,T>{
+			#[inline]
+			fn $method(&mut self,rhs:Vector<N,U>){
+				self.array.iter_mut().zip(rhs.array)
+					.for_each(|(a,b)|a.$method(b))
+			}
+		}
+		impl<const N:usize,T:core::ops::$trait<i64>> core::ops::$trait<i64> for Vector<N,T>{
+			#[inline]
+			fn $method(&mut self,rhs:i64){
+				self.array.iter_mut()
+					.for_each(|t|t.$method(rhs))
+			}
+		}
+	}
+}
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_shift_operator {
+	($trait: ident, $method: ident ) => {
+		impl<const N:usize,T:core::ops::$trait<U,Output=V>,U,V> core::ops::$trait<Vector<N,U>> for Vector<N,T>{
+			type Output=Vector<N,V>;
+			#[inline]
+			fn $method(self,rhs:Vector<N,U>)->Self::Output{
+				self.map_zip(rhs,|(a,b)|a.$method(b))
+			}
+		}
+		impl<const N:usize,T:core::ops::$trait<u32,Output=V>,V> core::ops::$trait<u32> for Vector<N,T>{
+			type Output=Vector<N,V>;
+			#[inline]
+			fn $method(self,rhs:u32)->Self::Output{
+				self.map(|t|t.$method(rhs))
+			}
+		}
+	}
+}
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_shift_assign_operator {
+	($trait: ident, $method: ident ) => {
+		impl<const N:usize,T:core::ops::$trait<U>,U> core::ops::$trait<Vector<N,U>> for Vector<N,T>{
+			#[inline]
+			fn $method(&mut self,rhs:Vector<N,U>){
+				self.array.iter_mut().zip(rhs.array)
+					.for_each(|(a,b)|a.$method(b))
+			}
+		}
+		impl<const N:usize,T:core::ops::$trait<u32>> core::ops::$trait<u32> for Vector<N,T>{
+			#[inline]
+			fn $method(&mut self,rhs:u32){
+				self.array.iter_mut()
+					.for_each(|t|t.$method(rhs))
+			}
+		}
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_extend {
+	( $size: expr ) => {
+		impl<T> Vector<$size,T>{
+			#[inline]
+			pub fn extend(self,value:T)->Vector<{$size+1},T>{
+				let mut iter=self.array.into_iter().chain(core::iter::once(value));
+				Vector::new(
+					core::array::from_fn(|_|iter.next().unwrap()),
+				)
+			}
+		}
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_named_fields {
+	( $struct:ident,  $size: expr ) => {
+		impl<T> core::ops::Deref for Vector<$size,T>{
+			type Target=$struct<T>;
+			#[inline]
+			fn deref(&self)->&Self::Target{
+				unsafe{core::mem::transmute(&self.array)}
+			}
+		}
+		impl<T> core::ops::DerefMut for Vector<$size,T>{
+			#[inline]
+			fn deref_mut(&mut self)->&mut Self::Target{
+				unsafe{core::mem::transmute(&mut self.array)}
+			}
+		}
+	}
+}
+
+#[doc(hidden)]
+#[macro_export(local_inner_macros)]
+macro_rules! impl_vector_3 {
+	()=>{
+		impl<T> Vector<3,T>
+		{
+			#[inline]
+			pub fn cross<U,V>(self,rhs:Vector<3,U>)->Vector<3,<V as core::ops::Sub>::Output>
+			where
+				T:core::ops::Mul<U,Output=V>+Copy,
+				U:Copy,
+				V:core::ops::Sub,
+			{
+				Vector::new([
+					self.y*rhs.z-self.z*rhs.y,
+					self.z*rhs.x-self.x*rhs.z,
+					self.x*rhs.y-self.y*rhs.x,
+				])
+			}
+		}
+	}
+}

linear_ops/src/matrix.rs

@@ -0,0 +1,17 @@
+use crate::vector::Vector;
+
+#[derive(Clone,Copy,Debug,Hash,Eq,PartialEq)]
+pub struct Matrix<const X:usize,const Y:usize,T>{
+	pub(crate) array:[[T;Y];X],
+}
+
+crate::impl_matrix!();
+
+crate::impl_matrix_extend!(2,2);
+crate::impl_matrix_extend!(2,3);
+crate::impl_matrix_extend!(3,2);
+crate::impl_matrix_extend!(3,3);
+
+//Special case 3x3 matrix operations because I cba to write macros for the arbitrary cases
+#[cfg(feature="named-fields")]
+crate::impl_matrix_3x3!();

linear_ops/src/named.rs

@@ -0,0 +1,59 @@
+use crate::vector::Vector;
+use crate::matrix::Matrix;
+
+#[repr(C)]
+pub struct Vector2<T> {
+	pub x: T,
+	pub y: T,
+}
+#[repr(C)]
+pub struct Vector3<T> {
+	pub x: T,
+	pub y: T,
+	pub z: T,
+}
+#[repr(C)]
+pub struct Vector4<T> {
+	pub x: T,
+	pub y: T,
+	pub z: T,
+	pub w: T,
+}
+
+crate::impl_vector_named_fields!(Vector2, 2);
+crate::impl_vector_named_fields!(Vector3, 3);
+crate::impl_vector_named_fields!(Vector4, 4);
+
+#[repr(C)]
+pub struct Matrix2<T> {
+	pub x_axis: T,
+	pub y_axis: T,
+}
+#[repr(C)]
+pub struct Matrix3<T> {
+	pub x_axis: T,
+	pub y_axis: T,
+	pub z_axis: T,
+}
+#[repr(C)]
+pub struct Matrix4<T> {
+	pub x_axis: T,
+	pub y_axis: T,
+	pub z_axis: T,
+	pub w_axis: T,
+}
+
+crate::impl_matrix_named_fields!(
+	//outer struct
+	(
+		(Matrix2, 2),
+		(Matrix3, 3),
+		(Matrix4, 4)
+	),
+	//inner struct
+	(
+		(2),
+		(3),
+		(4)
+	)
+);

linear_ops/src/tests/fixed_wide.rs

@@ -0,0 +1,96 @@
+use crate::types::{Matrix3,Matrix3x2,Matrix3x4,Matrix4x2,Vector3};
+
+type Planar64=fixed_wide::types::I32F32;
+type Planar64Wide1=fixed_wide::types::I64F64;
+//type Planar64Wide2=fixed_wide::types::I128F128;
+type Planar64Wide3=fixed_wide::types::I256F256;
+
+#[test]
+fn wide_vec3(){
+	let v=Vector3::from_value(Planar64::from(3));
+	let v1=v*v.x;
+	let v2=v1*v1.y;
+	let v3=v2*v2.z;
+
+	assert_eq!(v3.array,Vector3::from_value(Planar64Wide3::from(3i128.pow(8))).array);
+}
+
+#[test]
+fn wide_vec3_dot(){
+	let v=Vector3::from_value(Planar64::from(3));
+	let v1=v*v.x;
+	let v2=v1*v1.y;
+	let v3=v2.dot(v2);
+
+	assert_eq!(v3,Planar64Wide3::from(3i128.pow(8)*3));
+}
+
+#[test]
+fn wide_vec3_length_squared(){
+	let v=Vector3::from_value(Planar64::from(3));
+	let v1=v*v.x;
+	let v2=v1*v1.y;
+	let v3=v2.length_squared();
+
+	assert_eq!(v3,Planar64Wide3::from(3i128.pow(8)*3));
+}
+
+#[test]
+fn wide_matrix_dot(){
+	let lhs=Matrix3x4::new([
+		[Planar64::from(1),Planar64::from(2),Planar64::from(3),Planar64::from(4)],
+		[Planar64::from(5),Planar64::from(6),Planar64::from(7),Planar64::from(8)],
+		[Planar64::from(9),Planar64::from(10),Planar64::from(11),Planar64::from(12)],
+	]).transpose();
+	let rhs=Matrix4x2::new([
+		[Planar64::from(1),Planar64::from(2)],
+		[Planar64::from(3),Planar64::from(4)],
+		[Planar64::from(5),Planar64::from(6)],
+		[Planar64::from(7),Planar64::from(8)],
+	]).transpose();
+	// Mat3<Vec4>.dot(Mat4<Vec2>) -> Mat3<Vec2>
+	let m_dot=lhs*rhs;
+	//In[1]:= {{1, 2, 3, 4}, {5, 6, 7, 8}, {9, 10, 11, 12}} . {{1, 2}, {3, 4}, {5, 6}, {7, 8}}
+	//Out[1]= {{50, 60}, {114, 140}, {178, 220}}
+	assert_eq!(
+		m_dot.array,
+		Matrix3x2::new([
+			[Planar64Wide1::from(50),Planar64Wide1::from(60)],
+			[Planar64Wide1::from(114),Planar64Wide1::from(140)],
+			[Planar64Wide1::from(178),Planar64Wide1::from(220)],
+		]).transpose().array
+	);
+}
+
+#[test]
+#[cfg(feature="named-fields")]
+fn wide_matrix_det(){
+	let m=Matrix3::new([
+		[Planar64::from(1),Planar64::from(2),Planar64::from(3)],
+		[Planar64::from(4),Planar64::from(5),Planar64::from(7)],
+		[Planar64::from(6),Planar64::from(8),Planar64::from(9)],
+	]);
+	// In[2]:= Det[{{1, 2, 3}, {4, 5, 7}, {6, 8, 9}}]
+	// Out[2]= 7
+	assert_eq!(m.det(),fixed_wide::fixed::Fixed::<3,96>::from(7));
+}
+
+#[test]
+#[cfg(feature="named-fields")]
+fn wide_matrix_adjugate(){
+	let m=Matrix3::new([
+		[Planar64::from(1),Planar64::from(2),Planar64::from(3)],
+		[Planar64::from(4),Planar64::from(5),Planar64::from(7)],
+		[Planar64::from(6),Planar64::from(8),Planar64::from(9)],
+	]);
+	// In[6]:= Adjugate[{{1, 2, 3}, {4, 5, 7}, {6, 8, 9}}]
+	// Out[6]= {{-11, 6, -1}, {6, -9, 5}, {2, 4, -3}}
+	assert_eq!(
+		m.adjugate().array,
+		Matrix3::new([
+			[Planar64Wide1::from(-11),Planar64Wide1::from(6),Planar64Wide1::from(-1)],
+			[Planar64Wide1::from(6),Planar64Wide1::from(-9),Planar64Wide1::from(5)],
+			[Planar64Wide1::from(2),Planar64Wide1::from(4),Planar64Wide1::from(-3)],
+		]).array
+	);
+}

linear_ops/src/tests/mod.rs

@@ -0,0 +1,6 @@
+mod tests;
+
+#[cfg(feature="named-fields")]
+mod named;
+
+mod fixed_wide;

linear_ops/src/tests/named.rs

@@ -0,0 +1,30 @@
+use crate::types::{Vector3,Matrix3};
+
+#[test]
+fn test_vector(){
+	let mut v=Vector3::new([1,2,3]);
+	assert_eq!(v.x,1);
+	assert_eq!(v.y,2);
+	assert_eq!(v.z,3);
+
+	v.x=5;
+	assert_eq!(v.x,5);
+
+	v.y*=v.x;
+	assert_eq!(v.y,10);
+}
+
+
+#[test]
+fn test_matrix(){
+	let mut v=Matrix3::from_value(2);
+	assert_eq!(v.x_axis.x,2);
+	assert_eq!(v.y_axis.y,2);
+	assert_eq!(v.z_axis.z,2);
+
+	v.x_axis.x=5;
+	assert_eq!(v.x_axis.x,5);
+
+	v.y_axis.z*=v.x_axis.x;
+	assert_eq!(v.y_axis.z,10);
+}

linear_ops/src/tests/tests.rs

@@ -0,0 +1,59 @@
+use crate::types::{Vector2,Vector3,Matrix3x4,Matrix4x2,Matrix3x2,Matrix2x3};
+
+#[test]
+fn test_bool(){
+	assert_eq!(Vector3::new([false,false,false]).any(),false);
+	assert_eq!(Vector3::new([false,false,true]).any(),true);
+	assert_eq!(Vector3::new([false,false,true]).all(),false);
+	assert_eq!(Vector3::new([true,true,true]).all(),true);
+}
+
+#[test]
+fn test_length_squared(){
+	assert_eq!(Vector3::new([1,2,3]).length_squared(),14);
+}
+
+#[test]
+fn test_arithmetic(){
+	let a=Vector3::new([1,2,3]);
+	assert_eq!((a+a*2).array,Vector3::new([1*3,2*3,3*3]).array);
+}
+
+#[test]
+fn matrix_transform_vector(){
+	let m=Matrix2x3::new([
+		[1,2,3],
+		[4,5,6],
+	]).transpose();
+	let v=Vector3::new([1,2,3]);
+	let transformed=m*v;
+	assert_eq!(transformed.array,Vector2::new([14,32]).array);
+}
+
+#[test]
+fn matrix_dot(){
+	// All this code was written row major and I converted the lib to colum major
+	let rhs=Matrix4x2::new([
+								[  1.0,  2.0],
+								[  3.0,  4.0],
+								[  5.0,  6.0],
+								[  7.0,  8.0],
+	]).transpose();						 // |	  |		|
+	let lhs=Matrix3x4::new([ // |	  |		|
+		[1.0, 2.0, 3.0, 4.0],//	[ 50.0, 60.0],
+		[5.0, 6.0, 7.0, 8.0],//	[114.0,140.0],
+		[9.0,10.0,11.0,12.0],//	[178.0,220.0],
+	]).transpose();
+	// Mat3<Vec4>.dot(Mat4<Vec2>) -> Mat3<Vec2>
+	let m_dot=lhs*rhs;
+	//In[1]:= {{1, 2, 3, 4}, {5, 6, 7, 8}, {9, 10, 11, 12}} . {{1, 2}, {3, 4}, {5, 6}, {7, 8}}
+	//Out[1]= {{50, 60}, {114, 140}, {178, 220}}
+	assert_eq!(
+		m_dot.array,
+		Matrix3x2::new([
+			[50.0,60.0],
+			[114.0,140.0],
+			[178.0,220.0],
+		]).transpose().array
+	);
+}

linear_ops/src/types.rs

@@ -0,0 +1,18 @@
+use crate::vector::Vector;
+use crate::matrix::Matrix;
+
+pub type Vector2<T>=Vector<2,T>;
+pub type Vector3<T>=Vector<3,T>;
+pub type Vector4<T>=Vector<4,T>;
+
+pub type Matrix2<T>=Matrix<2,2,T>;
+pub type Matrix2x3<T>=Matrix<2,3,T>;
+pub type Matrix2x4<T>=Matrix<2,4,T>;
+
+pub type Matrix3x2<T>=Matrix<3,2,T>;
+pub type Matrix3<T>=Matrix<3,3,T>;
+pub type Matrix3x4<T>=Matrix<3,4,T>;
+
+pub type Matrix4x2<T>=Matrix<4,2,T>;
+pub type Matrix4x3<T>=Matrix<4,3,T>;
+pub type Matrix4<T>=Matrix<4,4,T>;

linear_ops/src/vector.rs

@@ -0,0 +1,19 @@
+/// An array-backed vector type.  Named fields are made accessible via the Deref/DerefMut traits which are implmented for 2-4 dimensions.
+/// let mut v = Vector::new([1.0,2.0,3.0]);
+/// v.x += v.z;
+/// println!("v.x={}",v.x);
+
+#[derive(Clone,Copy,Debug,Hash,Eq,PartialEq)]
+pub struct Vector<const N:usize,T>{
+	pub(crate) array:[T;N],
+}
+
+crate::impl_vector!();
+
+// Needs const generics for generic case
+crate::impl_vector_extend!(2);
+crate::impl_vector_extend!(3);
+
+//cross product
+#[cfg(feature="named-fields")]
+crate::impl_vector_3!();

ratio_ops/Cargo.lock

@@ -0,0 +1,7 @@
+# This file is automatically @generated by Cargo.
+# It is not intended for manual editing.
+version = 3
+
+[[package]]
+name = "ratio_ops"
+version = "0.1.0"

ratio_ops/Cargo.toml

@@ -0,0 +1,10 @@
+[package]
+name = "ratio_ops"
+version = "0.1.0"
+edition = "2021"
+repository = "https://git.itzana.me/StrafesNET/fixed_wide_vectors"
+license = "MIT OR Apache-2.0"
+description = "Ratio operations using trait bounds for avoiding division like the plague."
+authors = ["Rhys Lloyd <krakow20@gmail.com>"]
+
+[dependencies]

ratio_ops/LICENSE-APACHE

@@ -0,0 +1,176 @@
+                              Apache License
+                        Version 2.0, January 2004
+                     http://www.apache.org/licenses/
+
+TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+1. Definitions.
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+
+   "You" (or "Your") shall mean an individual or Legal Entity
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+
+5. Submission of Contributions. Unless You explicitly state otherwise,
+   any Contribution intentionally submitted for inclusion in the Work
+   by You to the Licensor shall be under the terms and conditions of
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+   Notwithstanding the above, nothing herein shall supersede or modify
+   the terms of any separate license agreement you may have executed
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+
+6. Trademarks. This License does not grant permission to use the trade
+   names, trademarks, service marks, or product names of the Licensor,
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+
+7. Disclaimer of Warranty. Unless required by applicable law or
+   agreed to in writing, Licensor provides the Work (and each
+   Contributor provides its Contributions) on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+   implied, including, without limitation, any warranties or conditions
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+   PARTICULAR PURPOSE. You are solely responsible for determining the
+   appropriateness of using or redistributing the Work and assume any
+   risks associated with Your exercise of permissions under this License.
+
+8. Limitation of Liability. In no event and under no legal theory,
+   whether in tort (including negligence), contract, or otherwise,
+   unless required by applicable law (such as deliberate and grossly
+   negligent acts) or agreed to in writing, shall any Contributor be
+   liable to You for damages, including any direct, indirect, special,
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+9. Accepting Warranty or Additional Liability. While redistributing
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+END OF TERMS AND CONDITIONS

ratio_ops/LICENSE-MIT

@@ -0,0 +1,23 @@
+Permission is hereby granted, free of charge, to any
+person obtaining a copy of this software and associated
+documentation files (the "Software"), to deal in the
+Software without restriction, including without
+limitation the rights to use, copy, modify, merge,
+publish, distribute, sublicense, and/or sell copies of
+the Software, and to permit persons to whom the Software
+is furnished to do so, subject to the following
+conditions:
+
+The above copyright notice and this permission notice
+shall be included in all copies or substantial portions
+of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF
+ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED
+TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
+PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT
+SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY
+CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
+OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR
+IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+DEALINGS IN THE SOFTWARE.

ratio_ops/src/lib.rs

@@ -0,0 +1,4 @@
+pub mod ratio;
+
+#[cfg(test)]
+mod tests;

ratio_ops/src/ratio.rs

@@ -0,0 +1,297 @@
+#[derive(Clone,Copy,Debug,Hash)]
+pub struct Ratio<Num,Den>{
+	pub num:Num,
+	pub den:Den,
+}
+impl<Num,Den> Ratio<Num,Den>{
+	#[inline(always)]
+	pub const fn new(num:Num,den:Den)->Self{
+		Self{num,den}
+	}
+}
+
+/// The actual divide implementation, Div is replaced with a Ratio constructor
+pub trait Divide<Rhs=Self>{
+	type Output;
+	fn divide(self,rhs:Rhs)->Self::Output;
+}
+
+impl<Num,Den> Ratio<Num,Den>
+	where
+		Num:Divide<Den>,
+{
+	#[inline]
+	pub fn divide(self)-><Num as Divide<Den>>::Output{
+		self.num.divide(self.den)
+	}
+}
+
+//take care to use the ratio methods to avoid nested ratios
+
+impl<LhsNum,LhsDen> Ratio<LhsNum,LhsDen>{
+	#[inline]
+	pub fn mul_ratio<RhsNum,RhsDen>(self,rhs:Ratio<RhsNum,RhsDen>)->Ratio<<LhsNum as core::ops::Mul<RhsNum>>::Output,<LhsDen as core::ops::Mul<RhsDen>>::Output>
+		where
+			LhsNum:core::ops::Mul<RhsNum>,
+			LhsDen:core::ops::Mul<RhsDen>,
+	{
+		Ratio::new(self.num*rhs.num,self.den*rhs.den)
+	}
+	#[inline]
+	pub fn div_ratio<RhsNum,RhsDen>(self,rhs:Ratio<RhsNum,RhsDen>)->Ratio<<LhsNum as core::ops::Mul<RhsDen>>::Output,<LhsDen as core::ops::Mul<RhsNum>>::Output>
+		where
+			LhsNum:core::ops::Mul<RhsDen>,
+			LhsDen:core::ops::Mul<RhsNum>,
+	{
+		Ratio::new(self.num*rhs.den,self.den*rhs.num)
+	}
+}
+macro_rules! impl_ratio_method {
+	($trait:ident, $method:ident, $ratio_method:ident) => {
+		impl<LhsNum,LhsDen> Ratio<LhsNum,LhsDen>{
+			#[inline]
+			pub fn $ratio_method<RhsNum,RhsDen,LhsCrossMul,RhsCrossMul>(self,rhs:Ratio<RhsNum,RhsDen>)->Ratio<<LhsCrossMul as core::ops::$trait<RhsCrossMul>>::Output,<LhsDen as core::ops::Mul<RhsDen>>::Output>
+				where
+					LhsNum:core::ops::Mul<RhsDen,Output=LhsCrossMul>,
+					LhsDen:core::ops::Mul<RhsNum,Output=RhsCrossMul>,
+					LhsDen:core::ops::Mul<RhsDen>,
+					LhsDen:Copy,
+					RhsDen:Copy,
+					LhsCrossMul:core::ops::$trait<RhsCrossMul>,
+			{
+				Ratio::new((self.num*rhs.den).$method(self.den*rhs.num),self.den*rhs.den)
+			}
+		}
+	};
+}
+impl_ratio_method!(Add,add,add_ratio);
+impl_ratio_method!(Sub,sub,sub_ratio);
+impl_ratio_method!(Rem,rem,rem_ratio);
+
+/// Comparing two ratios needs to know the parity of the denominators
+/// For signed integers this can be implemented with is_negative()
+pub trait Parity{
+	fn parity(&self)->bool;
+}
+macro_rules! impl_parity_unsigned{
+	($($type:ty),*)=>{
+		$(
+		impl Parity for $type{
+			fn parity(&self)->bool{
+				false
+			}
+		}
+		)*
+	};
+}
+macro_rules! impl_parity_signed{
+	($($type:ty),*)=>{
+		$(
+		impl Parity for $type{
+			fn parity(&self)->bool{
+				self.is_negative()
+			}
+		}
+		)*
+	};
+}
+macro_rules! impl_parity_float{
+	($($type:ty),*)=>{
+		$(
+		impl Parity for $type{
+			fn parity(&self)->bool{
+				self.is_sign_negative()
+			}
+		}
+		)*
+	};
+}
+
+impl_parity_unsigned!(u8,u16,u32,u64,u128,usize);
+impl_parity_signed!(i8,i16,i32,i64,i128,isize);
+impl_parity_float!(f32,f64);
+
+macro_rules! impl_ratio_ord_method{
+	($method:ident, $ratio_method:ident, $output:ty)=>{
+		impl<LhsNum,LhsDen:Parity> Ratio<LhsNum,LhsDen>{
+			#[inline]
+			pub fn $ratio_method<RhsNum,RhsDen:Parity,T>(self,rhs:Ratio<RhsNum,RhsDen>)->$output
+				where
+					LhsNum:core::ops::Mul<RhsDen,Output=T>,
+					LhsDen:core::ops::Mul<RhsNum,Output=T>,
+					T:Ord,
+			{
+				match self.den.parity()^rhs.den.parity(){
+					true=>(self.den*rhs.num).$method(&(self.num*rhs.den)),
+					false=>(self.num*rhs.den).$method(&(self.den*rhs.num)),
+				}
+			}
+		}
+	}
+}
+//PartialEq
+impl_ratio_ord_method!(eq,eq_ratio,bool);
+//PartialOrd
+impl_ratio_ord_method!(lt,lt_ratio,bool);
+impl_ratio_ord_method!(gt,gt_ratio,bool);
+impl_ratio_ord_method!(le,le_ratio,bool);
+impl_ratio_ord_method!(ge,ge_ratio,bool);
+impl_ratio_ord_method!(partial_cmp,partial_cmp_ratio,Option<core::cmp::Ordering>);
+//Ord
+impl_ratio_ord_method!(cmp,cmp_ratio,core::cmp::Ordering);
+
+/* generic rhs mul is not possible!
+impl<Lhs,RhsNum,RhsDen> core::ops::Mul<Ratio<RhsNum,RhsDen>> for Lhs
+	where
+		Lhs:core::ops::Mul<RhsNum>,
+{
+	type Output=Ratio<<Lhs as core::ops::Mul<RhsNum>>::Output,RhsDen>;
+	#[inline]
+	fn mul(self,rhs:Ratio<RhsNum,RhsDen>)->Self::Output{
+		Ratio::new(self*rhs.num,rhs.den)
+	}
+}
+*/
+
+//operators
+
+impl<LhsNum,LhsDen> core::ops::Neg for Ratio<LhsNum,LhsDen>
+	where
+		LhsNum:core::ops::Neg,
+{
+	type Output=Ratio<<LhsNum as core::ops::Neg>::Output,LhsDen>;
+	#[inline]
+	fn neg(self)->Self::Output{
+		Ratio::new(-self.num,self.den)
+	}
+}
+impl<LhsNum,LhsDen,Rhs> core::ops::Mul<Rhs> for Ratio<LhsNum,LhsDen>
+	where
+		LhsNum:core::ops::Mul<Rhs>,
+{
+	type Output=Ratio<<LhsNum as core::ops::Mul<Rhs>>::Output,LhsDen>;
+	#[inline]
+	fn mul(self,rhs:Rhs)->Self::Output{
+		Ratio::new(self.num*rhs,self.den)
+	}
+}
+impl<LhsNum,LhsDen,Rhs> core::ops::Div<Rhs> for Ratio<LhsNum,LhsDen>
+	where
+		LhsDen:core::ops::Mul<Rhs>,
+{
+	type Output=Ratio<LhsNum,<LhsDen as core::ops::Mul<Rhs>>::Output>;
+	#[inline]
+	fn div(self,rhs:Rhs)->Self::Output{
+		Ratio::new(self.num,self.den*rhs)
+	}
+}
+
+macro_rules! impl_ratio_operator {
+	($trait:ident, $method:ident) => {
+		impl<LhsNum,LhsDen,Rhs,Intermediate> core::ops::$trait<Rhs> for Ratio<LhsNum,LhsDen>
+			where
+				LhsNum:core::ops::$trait<Intermediate>,
+				LhsDen:Copy,
+				Rhs:core::ops::Mul<LhsDen,Output=Intermediate>,
+		{
+			type Output=Ratio<<LhsNum as core::ops::$trait<Intermediate>>::Output,LhsDen>;
+			#[inline]
+			fn $method(self,rhs:Rhs)->Self::Output{
+				Ratio::new(self.num.$method(rhs*self.den),self.den)
+			}
+		}
+	};
+}
+
+impl_ratio_operator!(Add,add);
+impl_ratio_operator!(Sub,sub);
+impl_ratio_operator!(Rem,rem);
+
+//assign operators
+
+impl<LhsNum,LhsDen,Rhs> core::ops::MulAssign<Rhs> for Ratio<LhsNum,LhsDen>
+	where
+		LhsNum:core::ops::MulAssign<Rhs>,
+{
+	#[inline]
+	fn mul_assign(&mut self,rhs:Rhs){
+		self.num*=rhs;
+	}
+}
+impl<LhsNum,LhsDen,Rhs> core::ops::DivAssign<Rhs> for Ratio<LhsNum,LhsDen>
+	where
+		LhsDen:core::ops::MulAssign<Rhs>,
+{
+	#[inline]
+	fn div_assign(&mut self,rhs:Rhs){
+		self.den*=rhs;
+	}
+}
+
+macro_rules! impl_ratio_assign_operator {
+	($trait:ident, $method:ident) => {
+		impl<LhsNum,LhsDen,Rhs> core::ops::$trait<Rhs> for Ratio<LhsNum,LhsDen>
+			where
+				LhsNum:core::ops::$trait,
+				LhsDen:Copy,
+				Rhs:core::ops::Mul<LhsDen,Output=LhsNum>,
+		{
+			#[inline]
+			fn $method(&mut self,rhs:Rhs){
+				self.num.$method(rhs*self.den)
+			}
+		}
+	};
+}
+
+impl_ratio_assign_operator!(AddAssign,add_assign);
+impl_ratio_assign_operator!(SubAssign,sub_assign);
+impl_ratio_assign_operator!(RemAssign,rem_assign);
+
+// Only implement PartialEq<Self>
+// Rust's operators aren't actually that good
+
+impl<LhsNum,LhsDen,RhsNum,RhsDen,T,U> PartialEq<Ratio<RhsNum,RhsDen>> for Ratio<LhsNum,LhsDen>
+	where
+		LhsNum:Copy,
+		LhsDen:Copy,
+		RhsNum:Copy,
+		RhsDen:Copy,
+		LhsNum:core::ops::Mul<RhsDen,Output=T>,
+		RhsNum:core::ops::Mul<LhsDen,Output=U>,
+		T:PartialEq<U>,
+{
+	#[inline]
+	fn eq(&self,other:&Ratio<RhsNum,RhsDen>)->bool{
+		(self.num*other.den).eq(&(other.num*self.den))
+	}
+}
+impl<Num,Den> Eq for Ratio<Num,Den> where Self:PartialEq{}
+
+impl<LhsNum,LhsDen,RhsNum,RhsDen,T,U> PartialOrd<Ratio<RhsNum,RhsDen>> for Ratio<LhsNum,LhsDen>
+	where
+		LhsNum:Copy,
+		LhsDen:Copy,
+		RhsNum:Copy,
+		RhsDen:Copy,
+		LhsNum:core::ops::Mul<RhsDen,Output=T>,
+		RhsNum:core::ops::Mul<LhsDen,Output=U>,
+		T:PartialOrd<U>,
+{
+	#[inline]
+	fn partial_cmp(&self,other:&Ratio<RhsNum,RhsDen>)->Option<core::cmp::Ordering>{
+		(self.num*other.den).partial_cmp(&(other.num*self.den))
+	}
+}
+impl<Num,Den,T> Ord for Ratio<Num,Den>
+	where
+		Num:Copy,
+		Den:Copy,
+		Num:core::ops::Mul<Den,Output=T>,
+		T:Ord,
+{
+	#[inline]
+	fn cmp(&self,other:&Self)->std::cmp::Ordering{
+		(self.num*other.den).cmp(&(other.num*self.den))
+	}
+}

ratio_ops/src/tests.rs

@@ -0,0 +1,58 @@
+use crate::ratio::Ratio;
+
+macro_rules! test_op{
+	($ratio_op:ident,$op:ident,$a:expr,$b:expr,$c:expr,$d:expr)=>{
+		assert_eq!(
+			Ratio::new($a,$b).$ratio_op(Ratio::new($c,$d)),
+			(($a as f32)/($b as f32)).$op(&(($c as f32)/($d as f32)))
+		);
+	};
+}
+
+macro_rules! test_many_ops{
+	($ratio_op:ident,$op:ident)=>{
+		test_op!($ratio_op,$op,1,2,3,4);
+		test_op!($ratio_op,$op,1,2,-3,4);
+		test_op!($ratio_op,$op,-1,2,-3,4);
+		test_op!($ratio_op,$op,-1,-2,-3,4);
+		test_op!($ratio_op,$op,2,1,6,3);
+		test_op!($ratio_op,$op,-2,1,6,3);
+		test_op!($ratio_op,$op,2,-1,-6,3);
+		test_op!($ratio_op,$op,2,1,6,-3);
+	};
+}
+
+#[test]
+fn test_lt(){
+	test_many_ops!(lt_ratio,lt);
+}
+
+#[test]
+fn test_gt(){
+	test_many_ops!(gt_ratio,gt);
+}
+
+#[test]
+fn test_le(){
+	test_many_ops!(le_ratio,le);
+}
+
+#[test]
+fn test_ge(){
+	test_many_ops!(ge_ratio,ge);
+}
+
+#[test]
+fn test_eq(){
+	test_many_ops!(eq_ratio,eq);
+}
+
+#[test]
+fn test_partial_cmp(){
+	test_many_ops!(partial_cmp_ratio,partial_cmp);
+}
+
+// #[test]
+// fn test_cmp(){
+// 	test_many_ops!(cmp_ratio,cmp);
+// }