div_euclid

fixed_wide/Cargo.lock

@@ -10,17 +10,18 @@ checksum = "7c02d123df017efcdfbd739ef81735b36c5ba83ec3c59c80a9d7ecc718f92e50"
 
 [[package]]
 name = "bnum"
-version = "0.11.0"
+version = "0.12.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3e31ea183f6ee62ac8b8a8cf7feddd766317adfb13ff469de57ce033efd6a790"
+checksum = "50202def95bf36cb7d1d7a7962cea1c36a3f8ad42425e5d2b71d7acb8041b5b8"
 
 [[package]]
 name = "fixed_wide"
-version = "0.1.0"
+version = "0.1.1"
 dependencies = [
  "arrayvec",
  "bnum",
  "paste",
+ "ratio_ops",
 ]
 
 [[package]]
@@ -28,3 +29,7 @@ name = "paste"
 version = "1.0.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "57c0d7b74b563b49d38dae00a0c37d4d6de9b432382b2892f0574ddcae73fd0a"
+
+[[package]]
+name = "ratio_ops"
+version = "0.1.0"

fixed_wide/Cargo.toml

@@ -1,15 +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=["zeroes","wide-mul"]
-ratio=[]
+default=[]
+deferred-division=["dep:ratio_ops"]
 wide-mul=[]
-zeroes=["ratio","dep:arrayvec"]
+zeroes=["dep:arrayvec"]
 
 [dependencies]
-bnum = "0.11.0"
+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

@@ -1,6 +1,6 @@
 use bnum::{BInt,cast::As};
 
-#[derive(Clone,Copy,Debug,Hash)]
+#[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)
@@ -33,33 +33,96 @@ impl<const N:usize,const F:usize> Fixed<N,F>{
 		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)))
 	}
+	#[inline]
+	pub const fn to_raw(self)->i64{
+		let &[digit]=self.to_bits().to_bits().digits();
+		digit as i64
+	}
 }
 
-impl<const N:usize,const F:usize,T> From<T> for Fixed<N,F>
-	where
-		BInt<N>:From<T>
-{
-	fn from(value:T)->Self{
+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 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 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 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)
 	}
@@ -67,11 +130,13 @@ impl<const N:usize,const F:usize> Ord for Fixed<N,F>{
 
 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{
@@ -81,6 +146,156 @@ impl<const N:usize,const F:usize> std::iter::Sum for Fixed<N,F>{
 	}
 }
 
+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 N:usize,const F:usize> $struct<N,F>{
@@ -91,6 +306,7 @@ macro_rules! impl_additive_operator {
 		}
 		impl<const N:usize,const F:usize> core::ops::$trait for $struct<N,F>{
 			type Output = $output;
+			#[inline]
 			fn $method(self, other: Self) -> Self::Output {
 				self.$method(other)
 			}
@@ -100,6 +316,7 @@ macro_rules! impl_additive_operator {
 				BInt::<N>:From<U>,
 		{
 			type Output = $output;
+			#[inline]
 			fn $method(self, other: U) -> Self::Output {
 				Self::from_bits(self.bits.$method(BInt::<N>::from(other).shl(F as u32)))
 			}
@@ -109,6 +326,7 @@ macro_rules! impl_additive_operator {
 macro_rules! impl_additive_assign_operator {
 	( $struct: ident, $trait: ident, $method: ident ) => {
 		impl<const N:usize,const F:usize> core::ops::$trait for $struct<N,F>{
+			#[inline]
 			fn $method(&mut self, other: Self) {
 				self.bits.$method(other.bits);
 			}
@@ -117,6 +335,7 @@ macro_rules! impl_additive_assign_operator {
 		where
 				BInt::<N>:From<U>,
 		{
+			#[inline]
 			fn $method(&mut self, other: U) {
 				self.bits.$method(BInt::<N>::from(other).shl(F as u32));
 			}
@@ -148,6 +367,7 @@ 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 {
 				paste::item!{
 				self.[<fixed_ $method>](other)
@@ -159,6 +379,7 @@ macro_rules! impl_multiplicative_operator_not_const_generic {
 macro_rules! impl_multiplicative_assign_operator_not_const_generic {
 	( ($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) {
 				paste::item!{
 				*self=self.[<fixed_ $non_assign_method>](other);
@@ -173,15 +394,27 @@ macro_rules! impl_multiply_operator_not_const_generic {
 		impl<const F:usize> $struct<$width,F>{
 			paste::item!{
 			#[inline]
-			pub fn [<fixed_ $method>](self, other: Self) -> Self {
-				let lhs=self.bits.as_::<BInt::<{$width*2}>>();
-				let rhs=other.bits.as_::<BInt::<{$width*2}>>();
-				Self::from_bits(lhs.mul(rhs).shr(F as u32).as_())
+			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_())
+				}
 			}
 			}
 		}
 		#[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_divide_operator_not_const_generic {
@@ -193,37 +426,48 @@ macro_rules! impl_divide_operator_not_const_generic {
 				//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::<{$width*2}>>();
-				Self::from_bits(lhs.div(rhs).as_())
+				Self::from_bits(lhs.div_euclid(rhs).as_())
 			}
 			}
 		}
-		#[cfg(all(not(feature="wide-mul"),not(feature="ratio")))]
+		#[cfg(all(not(feature="wide-mul"),not(feature="deferred-division")))]
 		impl_multiplicative_operator_not_const_generic!(($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, $output: ty ) => {
+	( $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 $method(self,other:U)->Self::Output{
-				Self::from_bits(self.bits.$method(BInt::<N>::from(other)))
+				Self::from_bits(self.bits.$inner_method(BInt::<N>::from(other)))
 			}
 		}
 	};
 }
 macro_rules! impl_multiplicative_assign_operator {
-	( $struct: ident, $trait: ident, $method: ident ) => {
+	( $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 $method(&mut self,other:U){
-				self.bits.$method(BInt::<N>::from(other));
+				self.bits=self.bits.$not_assign_method(BInt::<N>::from(other));
 			}
 		}
 	};
@@ -251,25 +495,29 @@ macro_16!( impl_multiplicative_assign_operator_not_const_generic, (Fixed, MulAss
 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 );
-impl_multiplicative_operator!( Fixed, Mul, mul, Self );
-impl_multiplicative_assign_operator!( Fixed, DivAssign, div_assign );
-impl_multiplicative_operator!( Fixed, Div, div, Self );
-#[cfg(feature="ratio")]
+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=crate::ratio::Ratio<Fixed<LHS_N,LHS_F>,Fixed<RHS_N,RHS_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{
-		crate::ratio::Ratio::new(self,other)
+		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()
 	}
 }
-
-// wide operators.  The result width is the sum of the input widths, i.e. none of the multiplication
-
 macro_rules! impl_shift_operator {
 	( $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
 		impl<const N:usize,const F:usize> core::ops::$trait<u32> for $struct<N,F>{
 			type Output = $output;
-
+			#[inline]
 			fn $method(self, other: u32) -> Self::Output {
 				Self::from_bits(self.bits.$method(other))
 			}
@@ -279,6 +527,7 @@ macro_rules! impl_shift_operator {
 macro_rules! impl_shift_assign_operator {
 	( $struct: ident, $trait: ident, $method: ident ) => {
 		impl<const N:usize,const F:usize> core::ops::$trait<u32> for $struct<N,F>{
+			#[inline]
 			fn $method(&mut self, other: u32) {
 				self.bits.$method(other);
 			}
@@ -290,25 +539,40 @@ 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 _ $rhs>](other)
 				}
 			}
 		}
-		#[cfg(not(feature="ratio"))]
+		#[cfg(not(feature="deferred-division"))]
 		impl core::ops::Div<Fixed<$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)
+				}
+			}
+		}
 	}
 }
 
@@ -323,6 +587,7 @@ macro_rules! impl_wide_not_const_generic{
 		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}>>();
@@ -331,6 +596,7 @@ macro_rules! impl_wide_not_const_generic{
 				/// 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);
@@ -343,18 +609,54 @@ macro_rules! impl_wide_not_const_generic{
 		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,(),
-	(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),
-	(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),
-	(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),
-	(1,4),(2,4),(3,4),(4,4),(5,4),(6,4),(7,4),(8,4),(9,4),(10,4),(11,4),(12,4),
-	(1,5),(2,5),(3,5),(4,5),(5,5),(6,5),(7,5),(8,5),(9,5),(10,5),(11,5),
-	(1,6),(2,6),(3,6),(4,6),(5,6),(6,6),(7,6),(8,6),(9,6),(10,6),
-	(1,7),(2,7),(3,7),(4,7),(5,7),(6,7),(7,7),(8,7),(9,7),
-	(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),(8,8),
+	      (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),
@@ -363,21 +665,133 @@ macro_repeated!(
 	(1,14),(2,14),
 	(1,15)
 );
-impl<const SRC:usize,const F:usize> Fixed<SRC,F>{
-	pub fn resize_into<const DST:usize>(self)->Fixed<DST,F>{
-		Fixed::from_bits(self.bits.as_::<BInt<DST>>())
+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{
-	($n:expr)=>{
-		impl Fixed<{$n*2},{$n*2*32}>{
-			pub fn halve_precision(self)->Fixed<$n,{$n*32}>{
-				Fixed::from_bits(bnum::cast::As::as_(self.bits.shr($n*32)))
-			}
-		}
+	($n:expr,$_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:
@@ -389,11 +803,15 @@ macro_rules! impl_not_const_generic{
 				let max_shift=((used_bits>>1)+($n*32) as i32) as u32;
 				let mut result=Self::ZERO;
 
-				//multiply by one to make the types match (hack)
-				let wide_self=self.[<wide_mul_ $n _ $n>](Self::ONE);
+				//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=result|Self::from_bits(BInt::from_bits(bnum::BUint::power_of_two(shift)));
+					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;
 					}
@@ -401,6 +819,7 @@ macro_rules! impl_not_const_generic{
 				result
 			}
 			}
+			#[inline]
 			pub fn sqrt(self)->Self{
 				if self<Self::ZERO{
 					panic!("Square root less than zero")
@@ -408,6 +827,7 @@ macro_rules! impl_not_const_generic{
 					self.sqrt_unchecked()
 				}
 			}
+			#[inline]
 			pub fn sqrt_checked(self)->Option<Self>{
 				if self<Self::ZERO{
 					None
@@ -418,11 +838,11 @@ macro_rules! impl_not_const_generic{
 		}
 	}
 }
-impl_not_const_generic!(1);
-impl_not_const_generic!(2);
-impl_not_const_generic!(3);
-impl_not_const_generic!(4);
-impl_not_const_generic!(5);
-impl_not_const_generic!(6);
-impl_not_const_generic!(7);
-impl_not_const_generic!(8);
+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/lib.rs

@@ -3,8 +3,6 @@ pub mod types;
 
 #[cfg(feature="zeroes")]
 pub mod zeroes;
-#[cfg(feature="ratio")]
-pub mod ratio;
 
 #[cfg(test)]
 mod tests;

fixed_wide/src/ratio.rs

@@ -1,10 +0,0 @@
-#[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}
-	}
-}

fixed_wide/src/tests.rs

@@ -4,13 +4,96 @@ 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))
+	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))
+	assert_eq!(a>>1,I32F32::from(2));
 }
 
 #[test]
@@ -52,6 +135,13 @@ fn test_bint(){
 	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;
@@ -102,3 +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/zeroes.rs

@@ -1,5 +1,4 @@
 use crate::fixed::Fixed;
-use crate::ratio::Ratio;
 
 use arrayvec::ArrayVec;
 use std::cmp::Ordering;
@@ -7,36 +6,37 @@ macro_rules! impl_zeroes{
 	($n:expr)=>{
 		impl Fixed<$n,{$n*32}>{
 			#[inline]
-			pub fn zeroes2(a0:Self,a1:Self,a2:Self)->ArrayVec<Ratio<Self,Self>,2>{
+			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=>true,
+					Ordering::Less=>false,
 				};
-				paste::item!{
-				let radicand=a1.[<wide_mul_ $n _ $n>](a1)-a2.[<wide_mul_ $n _ $n>](a0)*4;
-				}
-				match radicand.cmp(&Fixed::<{$n*2},{$n*2*32}>::ZERO){
+				let radicand=a1*a1-a2*a0*4;
+				match radicand.cmp(&<Self as core::ops::Mul>::Output::ZERO){
 					Ordering::Greater=>{
-						let planar_radicand=radicand.sqrt().halve_precision();
-						//sort roots ascending and avoid taking the difference of large numbers
-						match (a2pos,Self::ZERO<a1){
-							(true, true )=>[Ratio::new(-a1-planar_radicand,a2*2),Ratio::new(a0*2,-a1-planar_radicand)].into(),
-							(true, false)=>[Ratio::new(a0*2,-a1+planar_radicand),Ratio::new(-a1+planar_radicand,a2*2)].into(),
-							(false,true )=>[Ratio::new(a0*2,-a1-planar_radicand),Ratio::new(-a1-planar_radicand,a2*2)].into(),
-							(false,false)=>[Ratio::new(-a1+planar_radicand,a2*2),Ratio::new(a0*2,-a1+planar_radicand)].into(),
+						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([Ratio::new(a1,a2*-2)]),
+					Ordering::Equal=>ArrayVec::from_iter([(a1)/(a2*-2)]),
 					Ordering::Less=>ArrayVec::new_const(),
 				}
 			}
 			#[inline]
-			pub fn zeroes1(a0:Self,a1:Self)->ArrayVec<Ratio<Self,Self>,1>{
+			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([Ratio::new(-a0,a1)])
+					ArrayVec::from_iter([(-a0)/(a1)])
 				}
 			}
 		}

fixed_wide_vectors/Cargo.toml

@@ -1,13 +0,0 @@
-[package]
-name = "fixed_wide_vectors"
-version = "0.1.0"
-edition = "2021"
-
-[features]
-default=["fixed_wide","named-fields"]
-named-fields=[]
-fixed_wide=["dep:fixed_wide","dep:paste"]
-
-[dependencies]
-fixed_wide = { version = "0.1.0", path = "../fixed_wide", optional = true }
-paste = { version = "1.0.15", optional = true }

fixed_wide_vectors/src/macros/fixed_wide.rs

@@ -1,212 +0,0 @@
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_wide_vector_operations_2arg_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 [<wide_mul_ $lhs _ $rhs>](self,rhs:Vector<N,fixed_wide::fixed::Fixed<{$rhs},{$rhs*32}>>)->Vector<N,fixed_wide::fixed::Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>>{
-				self.map_zip(rhs,|(a,b)|a.[<wide_mul_ $lhs _ $rhs>](b))
-			}
-			#[inline]
-			pub fn [<wide_dot_ $lhs _ $rhs>](self,rhs:Vector<N,fixed_wide::fixed::Fixed<{$rhs},{$rhs*32}>>)->fixed_wide::fixed::Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>{
-				self.array.into_iter().zip(rhs.array).map(|(a,b)|a.[<wide_mul_ $lhs _ $rhs>](b)).sum()
-			}
-			}
-		}
-	}
-}
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_wide_vector_operations_1arg_not_const_generic {
-	(
-		(),
-		$n:expr
-	) => {
-		impl<const N:usize> Vector<N,fixed_wide::fixed::Fixed<{$n},{$n*32}>>{
-			paste::item!{
-			#[inline]
-			pub fn wide_length_squared(&self)->fixed_wide::fixed::Fixed<{$n*2},{$n*2*32}>{
-				self.array.into_iter().map(|t|t.[<wide_mul_ $n _ $n>](t)).sum()
-			}
-			}
-		}
-	};
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! do_macro_8x8{
-	(
-		$macro:ident,
-		$any:tt
-	)=>{
-		$crate::macro_repeated!($macro, $any,
-			(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)
-		);
-	};
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! do_macro_8{
-	(
-		$macro:ident,
-		$any:tt
-	)=>{
-		$crate::macro_repeated!($macro, $any, 1,2,3,4,5,6,7,8);
-	};
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_wide_vector_operations {
-	() => {
-		$crate::do_macro_8!(impl_wide_vector_operations_1arg_not_const_generic,());
-		$crate::do_macro_8x8!(impl_wide_vector_operations_2arg_not_const_generic,());
-	};
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_vector_3_wide_cross {
-	(
-		(),
-		($lhs:expr, $rhs:expr)
-	)=>{
-		impl Vector<3,fixed_wide::fixed::Fixed<{$lhs},{$lhs*32}>>{
-			paste::item!{
-			#[inline]
-			pub fn [<wide_cross_ $lhs _ $rhs>](self,rhs:Vector<3,fixed_wide::fixed::Fixed<{$rhs},{$rhs*32}>>)->Vector<3,fixed_wide::fixed::Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>>{
-				Vector::new([
-					self.y.[<wide_mul_ $lhs _ $rhs>](rhs.z)-self.z.[<wide_mul_ $lhs _ $rhs>](rhs.y),
-					self.z.[<wide_mul_ $lhs _ $rhs>](rhs.x)-self.x.[<wide_mul_ $lhs _ $rhs>](rhs.z),
-					self.x.[<wide_mul_ $lhs _ $rhs>](rhs.y)-self.y.[<wide_mul_ $lhs _ $rhs>](rhs.x),
-				])
-			}
-			}
-		}
-	}
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_vector_wide_3 {
-	()=>{
-		$crate::do_macro_8x8!(impl_vector_3_wide_cross,());
-	}
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! do_macro_4_dumb{
-	(
-		$macro:ident,
-		$any:tt
-	)=>{
-		$crate::macro_repeated!($macro, $any, (1,2),(2,4),(3,6),(4,8));
-	};
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_wide_dot {
-	(
-		(),
-		($lhs: expr, $rhs: expr)
-	) => {
-		impl<const X:usize,const Y:usize> Matrix<X,Y,fixed_wide::fixed::Fixed<{$lhs},{$lhs*32}>>{
-			paste::item!{
-			#[inline]
-			pub fn [<wide_dot_ $lhs _ $rhs>]<const Z:usize>(self,rhs:Matrix<Z,X,fixed_wide::fixed::Fixed<{$rhs},{$rhs*32}>>)->Matrix<Z,Y,fixed_wide::fixed::Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>>{
-				let mut array_of_iterators=rhs.array.map(|axis|axis.into_iter().cycle());
-					Matrix::new(
-						self.array.map(|axis|
-							core::array::from_fn(|_|
-								// axis dot product with transposed rhs array
-								axis.iter().zip(
-									array_of_iterators.iter_mut()
-								).map(|(&lhs_value,rhs_iter)|
-									lhs_value.[<wide_mul_ $lhs _ $rhs>](rhs_iter.next().unwrap())
-								).sum()
-							)
-						)
-					)
-			}
-			}
-		}
-	}
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_wide_dot_8x8 {
-	() => {
-		$crate::do_macro_8x8!(impl_matrix_wide_dot,());
-	}
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_wide_3x3_det_not_const_generic {
-	(
-		$n: expr,
-		$_2n: expr
-	)=>{
-		impl Matrix<3,3,fixed_wide::fixed::Fixed<$n,{$n*32}>>{
-			paste::item!{
-			pub fn [<wide_det_3x3_ $n>](self)->fixed_wide::fixed::Fixed<{$n*3},{$n*3*32}>{
-				//[<wide_dot_ $n _ $n*2>] will not compile, so the doubles are hardcoded above
-				self.x_axis.[<wide_dot_ $n _ $_2n>](self.y_axis.[<wide_cross_ $n _ $n>](self.z_axis))
-			}
-			}
-		}
-	}
-}
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_wide_3x3_det_not_const_generic_shim {
-	(
-		(),($n: expr,$_2n: expr)
-	)=>{
-		$crate::impl_matrix_wide_3x3_det_not_const_generic!($n,$_2n);
-	}
-}
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_wide_3x3_adjugate_not_const_generic {
-	(
-		(),
-		$n: expr
-	)=>{
-		impl Matrix<3,3,fixed_wide::fixed::Fixed<$n,{$n*32}>>{
-			paste::item!{
-			pub fn [<wide_adjugate_3x3_ $n>](self)->Matrix<3,3,fixed_wide::fixed::Fixed<{$n*2},{$n*2*32}>>{
-				Matrix::new([
-					[self.y_axis.y.[<wide_mul_ $n _ $n>](self.z_axis.z)-self.y_axis.z.[<wide_mul_ $n _ $n>](self.z_axis.y),self.x_axis.z.[<wide_mul_ $n _ $n>](self.z_axis.y)-self.x_axis.y.[<wide_mul_ $n _ $n>](self.z_axis.z),self.x_axis.y.[<wide_mul_ $n _ $n>](self.y_axis.z)-self.x_axis.z.[<wide_mul_ $n _ $n>](self.y_axis.y)],
-					[self.y_axis.z.[<wide_mul_ $n _ $n>](self.z_axis.x)-self.y_axis.x.[<wide_mul_ $n _ $n>](self.z_axis.z),self.x_axis.x.[<wide_mul_ $n _ $n>](self.z_axis.z)-self.x_axis.z.[<wide_mul_ $n _ $n>](self.z_axis.x),self.x_axis.z.[<wide_mul_ $n _ $n>](self.y_axis.x)-self.x_axis.x.[<wide_mul_ $n _ $n>](self.y_axis.z)],
-					[self.y_axis.x.[<wide_mul_ $n _ $n>](self.z_axis.y)-self.y_axis.y.[<wide_mul_ $n _ $n>](self.z_axis.x),self.x_axis.y.[<wide_mul_ $n _ $n>](self.z_axis.x)-self.x_axis.x.[<wide_mul_ $n _ $n>](self.z_axis.y),self.x_axis.x.[<wide_mul_ $n _ $n>](self.y_axis.y)-self.x_axis.y.[<wide_mul_ $n _ $n>](self.y_axis.x)],
-				])
-			}
-			}
-		}
-	}
-}
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_wide_3x3 {
-	()=>{
-		$crate::do_macro_4_dumb!(impl_matrix_wide_3x3_det_not_const_generic_shim,());
-		$crate::do_macro_8!(impl_matrix_wide_3x3_adjugate_not_const_generic,());
-	}
-}

fixed_wide_vectors/src/macros/matrix.rs

@@ -1,155 +0,0 @@
-#[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;X];Y])->Self{
-				Self{array}
-			}
-			#[inline(always)]
-			pub fn to_array(self)->[[T;X];Y]{
-				self.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]
-			// MatY<VecX>.MatX<VecZ> = MatY<VecZ>
-			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=rhs.array.map(|axis|axis.into_iter().cycle());
-				Matrix::new(
-					self.array.map(|axis|
-						core::array::from_fn(|_|
-							// axis dot product with transposed rhs array
-							axis.iter().zip(
-								array_of_iterators.iter_mut()
-							).map(|(&lhs_value,rhs_iter)|
-								lhs_value*rhs_iter.next().unwrap()
-							).sum()
-						)
-					)
-				)
-			}
-		}
-		impl<const X:usize,const Y:usize,T> Matrix<X,Y,T>
-		where
-			T:Copy
-		{
-			pub const fn from_value(value:T)->Self{
-				Self::new([[value;X];Y])
-			}
-		}
-
-		impl<const X:usize,const Y:usize,T:Default> Default for Matrix<X,Y,T>{
-			fn default()->Self{
-				Self::new(
-					core::array::from_fn(|_|core::array::from_fn(|_|Default::default()))
-				)
-			}
-		}
-		#[cfg(feature="fixed_wide")]
-		$crate::impl_matrix_wide_dot_8x8!();
-	}
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_extend {
-	( $x: expr, $y: expr ) => {
-		impl<T> Matrix<$x,$y,T>{
-			#[inline]
-			pub fn extend_row(self,value:Vector<$x,T>)->Matrix<$x,{$y+1},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_column(self,value:Vector<$y,T>)->Matrix<{$x+1},$y,T>{
-				let mut iter_rows=value.array.into_iter();
-				Matrix::new(
-					self.array.map(|axis|{
-						let mut elements_iter=axis.into_iter().chain(core::iter::once(iter_rows.next().unwrap()));
-						core::array::from_fn(|_|elements_iter.next().unwrap())
-					})
-				)
-			}
-		}
-	}
-}
-
-#[doc(hidden)]
-#[macro_export(local_inner_macros)]
-macro_rules! impl_matrix_named_fields_shape {
-	(
-		($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>>;
-			fn deref(&self)->&Self::Target{
-				unsafe{core::mem::transmute(&self.array)}
-			}
-		}
-		impl<T> core::ops::DerefMut for Matrix<$size_outer,$size_inner,T>{
-			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 {
-	()=>{
-		#[cfg(feature="fixed_wide")]
-		$crate::impl_matrix_wide_3x3!();
-	}
-}

linear_ops/Cargo.lock

@@ -2,33 +2,27 @@
 # It is not intended for manual editing.
 version = 3
 
-[[package]]
-name = "arrayvec"
-version = "0.7.6"
-source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "7c02d123df017efcdfbd739ef81735b36c5ba83ec3c59c80a9d7ecc718f92e50"
-
 [[package]]
 name = "bnum"
-version = "0.11.0"
+version = "0.12.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3e31ea183f6ee62ac8b8a8cf7feddd766317adfb13ff469de57ce033efd6a790"
+checksum = "50202def95bf36cb7d1d7a7962cea1c36a3f8ad42425e5d2b71d7acb8041b5b8"
 
 [[package]]
 name = "fixed_wide"
-version = "0.1.0"
+version = "0.1.1"
 dependencies = [
- "arrayvec",
  "bnum",
  "paste",
 ]
 
 [[package]]
-name = "fixed_wide_vectors"
+name = "linear_ops"
 version = "0.1.0"
 dependencies = [
  "fixed_wide",
  "paste",
+ "ratio_ops",
 ]
 
 [[package]]
@@ -36,3 +30,7 @@ name = "paste"
 version = "1.0.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 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.
+
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+   and distribution as defined by Sections 1 through 9 of this document.
+
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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
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+
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+   transformation or translation of a Source form, including but
+   not limited to compiled object code, generated documentation,
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+
+   "Work" shall mean the work of authorship, whether in Source or
+   Object form, made available under the License, as indicated by a
+   copyright notice that is included in or attached to the work
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+
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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
+   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,
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+   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
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+   PARTICULAR PURPOSE. You are solely responsible for determining the
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+   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
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+   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/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

@@ -1,10 +1,10 @@
-#[cfg(feature="fixed_wide")]
-pub mod fixed_wide;
-
 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{

linear_ops/src/macros/vector.rs

@@ -39,6 +39,7 @@ macro_rules! impl_vector {
 		}
 
 		impl<const N:usize,T:Default> Default for Vector<N,T>{
+			#[inline]
 			fn default()->Self{
 				Self::new(
 					core::array::from_fn(|_|Default::default())
@@ -46,6 +47,17 @@ macro_rules! impl_vector {
 			}
 		}
 
+		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{
@@ -90,6 +102,7 @@ macro_rules! impl_vector {
 
 		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)
@@ -97,18 +110,47 @@ macro_rules! impl_vector {
 			}
 		}
 
+		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!(MulAssign, mul_assign );
-		$crate::impl_vector_operator!(Mul, mul );
-		$crate::impl_vector_assign_operator!(DivAssign, div_assign );
-		$crate::impl_vector_operator!(Div, div );
 		$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 );
@@ -117,9 +159,48 @@ macro_rules! impl_vector {
 		$crate::impl_vector_assign_operator!(BitXorAssign, bitxor_assign );
 		$crate::impl_vector_operator!(BitXor, bitxor );
 
-		// Impl floating-point based methods
-		#[cfg(feature="fixed_wide")]
-		$crate::impl_wide_vector_operations!();
+		// 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)]
@@ -128,12 +209,14 @@ 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))
 			}
@@ -142,15 +225,30 @@ macro_rules! impl_vector_operator {
 }
 #[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))
@@ -158,6 +256,46 @@ macro_rules! impl_vector_assign_operator {
 		}
 	}
 }
+#[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)]
@@ -181,11 +319,13 @@ 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)}
 			}
@@ -197,7 +337,21 @@ macro_rules! impl_vector_named_fields {
 #[macro_export(local_inner_macros)]
 macro_rules! impl_vector_3 {
 	()=>{
-		#[cfg(feature="fixed_wide")]
-		$crate::impl_vector_wide_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

@@ -1,8 +1,8 @@
 use crate::vector::Vector;
 
-#[derive(Clone,Copy,Hash,Eq,PartialEq)]
+#[derive(Clone,Copy,Debug,Hash,Eq,PartialEq)]
 pub struct Matrix<const X:usize,const Y:usize,T>{
-	pub(crate) array:[[T;X];Y],
+	pub(crate) array:[[T;Y];X],
 }
 
 crate::impl_matrix!();
@@ -13,4 +13,5 @@ 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/tests/fixed_wide.rs

@@ -1,4 +1,4 @@
-use crate::types::{Matrix3,Matrix2x3,Matrix4x3,Matrix2x4,Vector3};
+use crate::types::{Matrix3,Matrix3x2,Matrix3x4,Matrix4x2,Vector3};
 
 type Planar64=fixed_wide::types::I32F32;
 type Planar64Wide1=fixed_wide::types::I64F64;
@@ -8,9 +8,9 @@ type Planar64Wide3=fixed_wide::types::I256F256;
 #[test]
 fn wide_vec3(){
 	let v=Vector3::from_value(Planar64::from(3));
-	let v1=v.wide_mul_1_1(v);
-	let v2=v1.wide_mul_2_2(v1);
-	let v3=v2.wide_mul_4_4(v2);
+	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);
 }
@@ -18,9 +18,9 @@ fn wide_vec3(){
 #[test]
 fn wide_vec3_dot(){
 	let v=Vector3::from_value(Planar64::from(3));
-	let v1=v.wide_mul_1_1(v);
-	let v2=v1.wide_mul_2_2(v1);
-	let v3=v2.wide_dot_4_4(v2);
+	let v1=v*v.x;
+	let v2=v1*v1.y;
+	let v3=v2.dot(v2);
 
 	assert_eq!(v3,Planar64Wide3::from(3i128.pow(8)*3));
 }
@@ -28,41 +28,42 @@ fn wide_vec3_dot(){
 #[test]
 fn wide_vec3_length_squared(){
 	let v=Vector3::from_value(Planar64::from(3));
-	let v1=v.wide_mul_1_1(v);
-	let v2=v1.wide_mul_2_2(v1);
-	let v3=v2.wide_length_squared();
+	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=Matrix4x3::new([
+	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)],
-	]);
-	let rhs=Matrix2x4::new([
+	]).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.wide_dot_1_1(rhs);
+	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,
-		Matrix2x3::new([
+		Matrix3x2::new([
 			[Planar64Wide1::from(50),Planar64Wide1::from(60)],
 			[Planar64Wide1::from(114),Planar64Wide1::from(140)],
 			[Planar64Wide1::from(178),Planar64Wide1::from(220)],
-		]).array
+		]).transpose().array
 	);
 }
 
 #[test]
+#[cfg(feature="named-fields")]
 fn wide_matrix_det(){
 	let m=Matrix3::new([
 		[Planar64::from(1),Planar64::from(2),Planar64::from(3)],
@@ -71,10 +72,11 @@ fn wide_matrix_det(){
 	]);
 	// In[2]:= Det[{{1, 2, 3}, {4, 5, 7}, {6, 8, 9}}]
 	// Out[2]= 7
-	assert_eq!(m.wide_det_3x3_1(),fixed_wide::fixed::Fixed::<3,96>::from(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)],
@@ -84,7 +86,7 @@ fn wide_matrix_adjugate(){
 	// 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.wide_adjugate_3x3_1().array,
+		m.adjugate().array,
 		Matrix3::new([
 			[Planar64Wide1::from(-11),Planar64Wide1::from(6),Planar64Wide1::from(-1)],
 			[Planar64Wide1::from(6),Planar64Wide1::from(-9),Planar64Wide1::from(5)],

linear_ops/src/tests/mod.rs

@@ -3,5 +3,4 @@ mod tests;
 #[cfg(feature="named-fields")]
 mod named;
 
-#[cfg(feature="fixed_wide")]
 mod fixed_wide;

linear_ops/src/tests/tests.rs

@@ -1,4 +1,4 @@
-use crate::types::{Vector3,Matrix4x3,Matrix2x4,Matrix2x3};
+use crate::types::{Vector2,Vector3,Matrix3x4,Matrix4x2,Matrix3x2,Matrix2x3};
 
 #[test]
 fn test_bool(){
@@ -8,6 +8,11 @@ fn test_bool(){
 	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]);
@@ -15,29 +20,40 @@ fn test_arithmetic(){
 }
 
 #[test]
-fn matrix_dot(){
+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);
+}
 
-	let rhs=Matrix2x4::new([
+#[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],
-	]);						 // |	  |		|
-	let lhs=Matrix4x3::new([ // |	  |		|
+	]).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.dot(rhs);
+	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,
-		Matrix2x3::new([
+		Matrix3x2::new([
 			[50.0,60.0],
 			[114.0,140.0],
 			[178.0,220.0],
-		]).array
+		]).transpose().array
 	);
 }

linear_ops/src/vector.rs

@@ -3,7 +3,7 @@
 /// v.x += v.z;
 /// println!("v.x={}",v.x);
 
-#[derive(Clone,Copy,Hash,Eq,PartialEq)]
+#[derive(Clone,Copy,Debug,Hash,Eq,PartialEq)]
 pub struct Vector<const N:usize,T>{
 	pub(crate) array:[T;N],
 }
@@ -15,4 +15,5 @@ crate::impl_vector_extend!(2);
 crate::impl_vector_extend!(3);
 
 //cross product
+#[cfg(feature="named-fields")]
 crate::impl_vector_3!();

ratio_ops/.gitignore

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

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.
+
+   "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
+   the copyright owner that is granting the License.
+
+   "Legal Entity" shall mean the union of the acting entity and all
+   other entities that control, are controlled by, or are under common
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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
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+
+   "Object" form shall mean any form resulting from mechanical
+   transformation or translation of a Source form, including but
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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).
+
+   "Derivative Works" shall mean any work, whether in Source or Object
+   form, that is based on (or derived from) the Work and for which the
+   editorial revisions, annotations, elaborations, or other modifications
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+
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+   the conditions stated in this License.
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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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+   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
+   of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+   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,
+   incidental, or consequential damages of any character arising as a
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+   Work (including but not limited to damages for loss of goodwill,
+   work stoppage, computer failure or malfunction, or any and all
+   other commercial damages or losses), even if such Contributor
+   has been advised of the possibility of such damages.
+
+9. Accepting Warranty or Additional Liability. While redistributing
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+   of your accepting any such warranty or additional liability.
+
+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);
+// }