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57 changed files with 999 additions and 2948 deletions

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@ -3,5 +3,12 @@
version = 3
[[package]]
name = "ratio_ops"
name = "deferred_division"
version = "0.1.0"
dependencies = [
"fixed_wide_traits",
]
[[package]]
name = "fixed_wide_traits"
version = "0.1.0"

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@ -0,0 +1,11 @@
[package]
name = "deferred_division"
version = "0.1.0"
edition = "2021"
[features]
default=["fixed_wide_traits"]
fixed_wide_traits=["dep:fixed_wide_traits"]
[dependencies]
fixed_wide_traits = { version = "0.1.0", path = "../fixed_wide_traits", optional = true }

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

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

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@ -0,0 +1,51 @@
use std::ops::{Add,Mul};
use crate::ratio::Ratio;
use fixed_wide_traits::wide::{WideMul,WideDiv};
impl<Num,Den:Copy> Ratio<Num,Den>
{
pub fn rational_add<T>(self,rhs:T)->Ratio<<Num as Add<<Den as Mul<T>>::Output>>::Output,Den>
where
Den:Mul<T>,
Num:Add<<Den as Mul<T>>::Output>,
{
Ratio{
num:self.num+self.den.mul(rhs),
den:self.den,
}
}
pub fn wide_rational_add<T>(self,rhs:T)->Ratio<<Num as Add<<Den as WideMul<T>>::Output>>::Output,Den>
where
Den:WideMul<T>,
Num:Add<<Den as WideMul<T>>::Output>,
{
Ratio{
num:self.num+self.den.wide_mul(rhs),
den:self.den,
}
}
}
impl<Num,Den,T> WideMul<T> for Ratio<Num,Den>
where
Num:WideMul<T>,
{
type Output=Ratio<<Num as WideMul<T>>::Output,Den>;
fn wide_mul(self,rhs:T)->Ratio<<Num as WideMul<T>>::Output,Den>{
Ratio{
num:self.num.wide_mul(rhs),
den:self.den,
}
}
}
impl<Num,Den,T> WideDiv<T> for Ratio<Num,Den>
where
Den:WideMul<T>,
{
type Output=Ratio<Num,<Den as WideMul<T>>::Output>;
fn wide_div(self,rhs:T)->Ratio<Num,<Den as WideMul<T>>::Output>{
Ratio{
num:self.num,
den:self.den.wide_mul(rhs),
}
}
}

29
fixed_wide/Cargo.lock generated
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@ -2,34 +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 = "0.12.0"
version = "0.11.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "50202def95bf36cb7d1d7a7962cea1c36a3f8ad42425e5d2b71d7acb8041b5b8"
checksum = "3e31ea183f6ee62ac8b8a8cf7feddd766317adfb13ff469de57ce033efd6a790"
[[package]]
name = "fixed_wide"
version = "0.1.1"
version = "0.1.0"
dependencies = [
"arrayvec",
"bnum",
"paste",
"ratio_ops",
"fixed_wide_traits",
"typenum",
]
[[package]]
name = "paste"
version = "1.0.15"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "57c0d7b74b563b49d38dae00a0c37d4d6de9b432382b2892f0574ddcae73fd0a"
name = "fixed_wide_traits"
version = "0.1.0"
[[package]]
name = "ratio_ops"
version = "0.1.0"
name = "typenum"
version = "1.17.0"
source = "registry+https://github.com/rust-lang/crates.io-index"
checksum = "42ff0bf0c66b8238c6f3b578df37d0b7848e55df8577b3f74f92a69acceeb825"

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@ -1,20 +1,13 @@
[package]
name = "fixed_wide"
version = "0.1.1"
version = "0.1.0"
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=[]
deferred-division=["dep:ratio_ops"]
wide-mul=[]
zeroes=["dep:arrayvec"]
default=["fixed_wide_traits"]
fixed_wide_traits=["dep:fixed_wide_traits"]
[dependencies]
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 }
bnum = "0.11.0"
typenum = "1.17.0"
fixed_wide_traits = { version = "0.1.0", path = "../fixed_wide_traits", optional = true }

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@ -1,848 +1,150 @@
use bnum::{BInt,cast::As};
use bnum::BInt;
use typenum::Unsigned;
use std::marker::PhantomData;
#[derive(Clone,Copy,Debug,Default,Hash)]
/// A Fixed point number for which multiply operations widen the bits in the output. (when the wide-mul feature is enabled)
/// N is the number of u64s to use
/// F is the number of fractional bits (always N*32 lol)
pub struct Fixed<const N:usize,const F:usize>{
pub(crate)bits:BInt<{N}>,
#[derive(Clone,Copy,Debug,Hash)]
pub struct Fixed<const CHUNKS:usize,Frac>{
pub(crate)bits:BInt<{CHUNKS}>,
pub(crate)frac:PhantomData<Frac>,
}
impl<const N:usize,const F:usize> Fixed<N,F>{
pub const MAX:Self=Self::from_bits(BInt::<N>::MAX);
pub const MIN:Self=Self::from_bits(BInt::<N>::MIN);
pub const ZERO:Self=Self::from_bits(BInt::<N>::ZERO);
pub const EPSILON:Self=Self::from_bits(BInt::<N>::ONE);
pub const NEG_EPSILON:Self=Self::from_bits(BInt::<N>::NEG_ONE);
pub const ONE:Self=Self::from_bits(BInt::<N>::ONE.shl(F as u32));
pub const TWO:Self=Self::from_bits(BInt::<N>::TWO.shl(F as u32));
pub const HALF:Self=Self::from_bits(BInt::<N>::ONE.shl(F as u32-1));
pub const NEG_ONE:Self=Self::from_bits(BInt::<N>::NEG_ONE.shl(F as u32));
pub const NEG_TWO:Self=Self::from_bits(BInt::<N>::NEG_TWO.shl(F as u32));
pub const NEG_HALF:Self=Self::from_bits(BInt::<N>::NEG_ONE.shl(F as u32-1));
impl<const CHUNKS:usize,Frac:Unsigned> Fixed<CHUNKS,Frac>{
pub const ZERO:Self=Self{bits:BInt::<CHUNKS>::ZERO,frac:PhantomData};
pub const ONE:Self=Self{bits:BInt::<CHUNKS>::ONE.shl(Frac::U32),frac:PhantomData};
pub const NEG_ONE:Self=Self{bits:BInt::<CHUNKS>::NEG_ONE.shl(Frac::U32),frac:PhantomData};
pub const MAX:Self=Self{bits:BInt::<CHUNKS>::MAX,frac:PhantomData};
pub const MIN:Self=Self{bits:BInt::<CHUNKS>::MIN,frac:PhantomData};
}
impl<const N:usize,const F:usize> Fixed<N,F>{
#[inline]
pub const fn from_bits(bits:BInt::<N>)->Self{
impl<const CHUNKS:usize,Frac:Unsigned,T> From<T> for Fixed<CHUNKS,Frac>
where
BInt<CHUNKS>:From<T>
{
fn from(value:T)->Self{
Self{
bits,
bits:BInt::<{CHUNKS}>::from(value)<<Frac::U32,
frac:PhantomData,
}
}
#[inline]
pub const fn to_bits(self)->BInt<N>{
self.bits
}
#[inline]
pub const fn raw_digit(value:i64)->Self{
let mut digits=[0u64;N];
digits[0]=value.abs() as u64;
//sign bit
digits[N-1]|=(value&i64::MIN) as u64;
Self::from_bits(BInt::from_bits(bnum::BUint::from_digits(digits)))
}
#[inline]
pub const fn is_zero(self)->bool{
self.bits.is_zero()
}
#[inline]
pub const fn is_negative(self)->bool{
self.bits.is_negative()
}
#[inline]
pub const fn is_positive(self)->bool{
self.bits.is_positive()
}
#[inline]
pub const fn abs(self)->Self{
Self::from_bits(self.bits.abs())
}
}
impl<const F:usize> Fixed<1,F>{
/// My old code called this function everywhere so let's provide it
#[inline]
pub const fn raw(value:i64)->Self{
Self::from_bits(BInt::from_bits(bnum::BUint::from_digit(value as u64)))
}
#[inline]
pub const fn to_raw(self)->i64{
let &[digit]=self.to_bits().to_bits().digits();
digit as i64
}
}
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]
impl<const CHUNKS:usize,Frac> PartialEq for Fixed<CHUNKS,Frac>{
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 CHUNKS:usize,Frac> Eq for Fixed<CHUNKS,Frac>{}
impl<const N:usize,const F:usize> PartialOrd for Fixed<N,F>{
#[inline]
impl<const CHUNKS:usize,Frac> PartialOrd for Fixed<CHUNKS,Frac>{
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]
impl<const CHUNKS:usize,Frac> Ord for Fixed<CHUNKS,Frac>{
fn cmp(&self,other:&Self)->std::cmp::Ordering{
self.bits.cmp(&other.bits)
}
}
impl<const N:usize,const F:usize> std::ops::Neg for Fixed<N,F>{
impl<const CHUNKS:usize,Frac> std::ops::Neg for Fixed<CHUNKS,Frac>{
type Output=Self;
#[inline]
fn neg(self)->Self{
Self::from_bits(self.bits.neg())
}
}
impl<const N:usize,const F:usize> std::iter::Sum for Fixed<N,F>{
#[inline]
fn sum<I:Iterator<Item=Self>>(iter:I)->Self{
let mut sum=Self::ZERO;
for elem in iter{
sum+=elem;
}
sum
}
}
const fn signed_shift(lhs:u64,rhs:i32)->u64{
if rhs.is_negative(){
lhs>>-rhs
}else{
lhs<<rhs
}
}
macro_rules! impl_into_float {
( $output: ty, $unsigned:ty, $exponent_bits:expr, $mantissa_bits:expr ) => {
impl<const N:usize,const F:usize> Into<$output> for Fixed<N,F>{
#[inline]
fn into(self)->$output{
const DIGIT_SHIFT:u32=6;//Log2[64]
// SBBB BBBB
// 1001 1110 0000 0000
let sign=if self.bits.is_negative(){(1 as $unsigned)<<(<$unsigned>::BITS-1)}else{0};
let unsigned=self.bits.unsigned_abs();
let most_significant_bit=unsigned.bits();
let exp=if unsigned.is_zero(){
0
}else{
let msb=most_significant_bit as $unsigned;
let _127=((1 as $unsigned)<<($exponent_bits-1))-1;
let msb_offset=msb+_127-1-F as $unsigned;
msb_offset<<($mantissa_bits-1)
};
let digits=unsigned.digits();
let digit_index=most_significant_bit.saturating_sub(1)>>DIGIT_SHIFT;
let digit=digits[digit_index as usize];
//How many bits does the mantissa take from this digit
let take_bits=most_significant_bit-(digit_index<<DIGIT_SHIFT);
let rest_of_mantissa=$mantissa_bits as i32-(take_bits as i32);
let mut unmasked_mant=signed_shift(digit,rest_of_mantissa) as $unsigned;
if 0<rest_of_mantissa&&digit_index!=0{
//take the next digit down and shove some of its bits onto the bottom of the mantissa
let digit=digits[digit_index as usize-1];
let take_bits=most_significant_bit-((digit_index-1)<<DIGIT_SHIFT);
let rest_of_mantissa=$mantissa_bits as i32-(take_bits as i32);
let unmasked_mant2=signed_shift(digit,rest_of_mantissa) as $unsigned;
unmasked_mant|=unmasked_mant2;
}
let mant=unmasked_mant&((1 as $unsigned)<<($mantissa_bits-1))-1;
let bits=sign|exp|mant;
<$output>::from_bits(bits)
}
Self{
bits:self.bits.neg(),
frac:PhantomData,
}
}
}
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 {
macro_rules! impl_operator {
( $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
impl<const N:usize,const F:usize> $struct<N,F>{
#[inline]
pub const fn $method(self, other: Self) -> Self {
Self::from_bits(self.bits.$method(other.bits))
}
}
impl<const N:usize,const F:usize> core::ops::$trait for $struct<N,F>{
type Output = $output;
#[inline]
fn $method(self, other: Self) -> Self::Output {
self.$method(other)
}
}
impl<const N:usize,const F:usize,U> core::ops::$trait<U> for $struct<N,F>
where
BInt::<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)))
}
}
};
impl<const CHUNKS:usize,Frac> core::ops::$trait for $struct<CHUNKS,Frac>{
type Output = $output;
fn $method(self, other: Self) -> Self::Output {
Self {
bits:self.bits.$method(other.bits),
frac:PhantomData,
}
}
}
impl<const CHUNKS:usize,Frac:Unsigned,U> core::ops::$trait<U> for $struct<CHUNKS,Frac>
where
BInt::<CHUNKS>:From<U>,
{
type Output = $output;
fn $method(self, other: U) -> Self::Output {
Self {
bits:self.bits.$method(BInt::<CHUNKS>::from(other)<<Frac::U32),
frac:PhantomData,
}
}
}
};
}
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);
}
}
impl<const N:usize,const F:usize,U> core::ops::$trait<U> for $struct<N,F>
where
BInt::<N>:From<U>,
{
#[inline]
fn $method(&mut self, other: U) {
self.bits.$method(BInt::<N>::from(other).shl(F as u32));
}
}
};
macro_rules! impl_assign_operator {
( $struct: ident, $trait: ident, $method: ident ) => {
impl<const CHUNKS:usize,Frac> core::ops::$trait for $struct<CHUNKS,Frac>{
fn $method(&mut self, other: Self) {
self.bits.$method(other.bits);
}
}
impl<const CHUNKS:usize,Frac:Unsigned,U> core::ops::$trait<U> for $struct<CHUNKS,Frac>
where
BInt::<CHUNKS>:From<U>,
{
fn $method(&mut self, other: U) {
self.bits.$method(BInt::<CHUNKS>::from(other)<<Frac::U32);
}
}
};
}
// Impl arithmetic pperators
impl_additive_assign_operator!( Fixed, AddAssign, add_assign );
impl_additive_operator!( Fixed, Add, add, Self );
impl_additive_assign_operator!( Fixed, SubAssign, sub_assign );
impl_additive_operator!( Fixed, Sub, sub, Self );
impl_additive_assign_operator!( Fixed, RemAssign, rem_assign );
impl_additive_operator!( Fixed, Rem, rem, Self );
impl_assign_operator!( Fixed, AddAssign, add_assign );
impl_operator!( Fixed, Add, add, Self );
impl_assign_operator!( Fixed, SubAssign, sub_assign );
impl_operator!( Fixed, Sub, sub, Self );
impl_assign_operator!( Fixed, MulAssign, mul_assign );
impl_operator!( Fixed, Mul, mul, Self );
impl_assign_operator!( Fixed, DivAssign, div_assign );
impl_operator!( Fixed, Div, div, Self );
impl_assign_operator!( Fixed, RemAssign, rem_assign );
impl_operator!( Fixed, Rem, rem, Self );
// Impl bitwise operators
impl_additive_assign_operator!( Fixed, BitAndAssign, bitand_assign );
impl_additive_operator!( Fixed, BitAnd, bitand, Self );
impl_additive_assign_operator!( Fixed, BitOrAssign, bitor_assign );
impl_additive_operator!( Fixed, BitOr, bitor, Self );
impl_additive_assign_operator!( Fixed, BitXorAssign, bitxor_assign );
impl_additive_operator!( Fixed, BitXor, bitxor, Self );
impl_assign_operator!( Fixed, BitAndAssign, bitand_assign );
impl_operator!( Fixed, BitAnd, bitand, Self );
impl_assign_operator!( Fixed, BitOrAssign, bitor_assign );
impl_operator!( Fixed, BitOr, bitor, Self );
impl_assign_operator!( Fixed, BitXorAssign, bitxor_assign );
impl_operator!( Fixed, BitXor, bitxor, Self );
// non-wide operators. The result is the same width as the inputs.
// This macro is not used in the default configuration.
#[allow(unused_macros)]
macro_rules! impl_multiplicative_operator_not_const_generic {
( ($struct: ident, $trait: ident, $method: ident, $output: ty ), $width:expr ) => {
impl<const F:usize> core::ops::$trait for $struct<$width,F>{
type Output = $output;
#[inline]
fn $method(self, other: Self) -> Self::Output {
paste::item!{
self.[<fixed_ $method>](other)
}
}
}
};
}
macro_rules! impl_multiplicative_assign_operator_not_const_generic {
( ($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_ $non_assign_method>](other);
}
}
}
};
}
macro_rules! impl_multiply_operator_not_const_generic {
( ($struct: ident, $trait: ident, $method: ident, $output: ty ), $width:expr ) => {
impl<const F:usize> $struct<$width,F>{
paste::item!{
#[inline]
pub fn [<fixed_ $method>](self, rhs: Self) -> Self {
let (low,high)=self.bits.unsigned_abs().widening_mul(rhs.bits.unsigned_abs());
let out:BInt::<{$width*2}>=unsafe{core::mem::transmute([low,high])};
if self.is_negative()==rhs.is_negative(){
Self::from_bits(out.shr(F as u32).as_())
}else{
-Self::from_bits(out.shr(F as u32).as_())
}
}
}
}
#[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,{$width*32}>{
type Output=Self;
#[inline]
fn divide(self, other: i64)->Self::Output{
Self::from_bits(self.bits.div_euclid(BInt::from(other)))
}
}
}
}
macro_rules! impl_divide_operator_not_const_generic {
( ($struct: ident, $trait: ident, $method: ident, $output: ty ), $width:expr ) => {
impl<const F:usize> $struct<$width,F>{
paste::item!{
#[inline]
pub fn [<fixed_ $method>](self,other:Self)->Self{
//this only needs to be $width+F as u32/64+1 but MUH CONST GENERICS!!!!!
let lhs=self.bits.as_::<BInt::<{$width*2}>>().shl(F as u32);
let rhs=other.bits.as_::<BInt::<{$width*2}>>();
Self::from_bits(lhs.div_euclid(rhs).as_())
}
}
}
#[cfg(all(not(feature="wide-mul"),not(feature="deferred-division")))]
impl_multiplicative_operator_not_const_generic!(($struct, $trait, $method, $output ), $width);
#[cfg(all(not(feature="wide-mul"),feature="deferred-division"))]
impl<const F:usize> ratio_ops::ratio::Divide for $struct<$width,F>{
type Output = $output;
#[inline]
fn divide(self, other: Self) -> Self::Output {
paste::item!{
self.[<fixed_ $method>](other)
}
}
}
};
}
macro_rules! impl_multiplicative_operator {
( $struct: ident, $trait: ident, $method: ident, $inner_method: ident, $output: ty ) => {
impl<const N:usize,const F:usize,U> core::ops::$trait<U> for $struct<N,F>
where
BInt::<N>:From<U>+core::ops::$trait,
{
type Output = $output;
#[inline]
fn $method(self,other:U)->Self::Output{
Self::from_bits(self.bits.$inner_method(BInt::<N>::from(other)))
}
}
};
}
macro_rules! impl_multiplicative_assign_operator {
( $struct: ident, $trait: ident, $method: ident, $not_assign_method: ident ) => {
impl<const N:usize,const F:usize,U> core::ops::$trait<U> for $struct<N,F>
where
BInt::<N>:From<U>+core::ops::$trait,
{
#[inline]
fn $method(&mut self,other:U){
self.bits=self.bits.$not_assign_method(BInt::<N>::from(other));
}
}
};
}
macro_rules! macro_repeated{
(
$macro:ident,
$any:tt,
$($repeated:tt),*
)=>{
$(
$macro!($any, $repeated);
)*
};
}
macro_rules! macro_16 {
( $macro: ident, $any:tt ) => {
macro_repeated!($macro,$any,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16);
}
}
macro_16!( impl_multiplicative_assign_operator_not_const_generic, (Fixed, MulAssign, mul_assign, mul) );
macro_16!( impl_multiply_operator_not_const_generic, (Fixed, Mul, mul, Self) );
macro_16!( impl_multiplicative_assign_operator_not_const_generic, (Fixed, DivAssign, div_assign, div) );
macro_16!( impl_divide_operator_not_const_generic, (Fixed, Div, div, Self) );
impl_multiplicative_assign_operator!( Fixed, MulAssign, mul_assign, mul );
impl_multiplicative_operator!( Fixed, Mul, mul, mul, Self );
impl_multiplicative_assign_operator!( Fixed, DivAssign, div_assign, div_euclid );
impl_multiplicative_operator!( Fixed, Div, div, div_euclid, Self );
#[cfg(feature="deferred-division")]
impl<const LHS_N:usize,const LHS_F:usize,const RHS_N:usize,const RHS_F:usize> core::ops::Div<Fixed<RHS_N,RHS_F>> for Fixed<LHS_N,LHS_F>{
type Output=ratio_ops::ratio::Ratio<Fixed<LHS_N,LHS_F>,Fixed<RHS_N,RHS_F>>;
#[inline]
fn div(self, other: Fixed<RHS_N,RHS_F>)->Self::Output{
ratio_ops::ratio::Ratio::new(self,other)
}
}
#[cfg(feature="deferred-division")]
impl<const N:usize,const F:usize> ratio_ops::ratio::Parity for Fixed<N,F>{
fn parity(&self)->bool{
self.is_negative()
}
}
macro_rules! impl_shift_operator {
( $struct: ident, $trait: ident, $method: ident, $output: ty ) => {
impl<const N:usize,const F:usize> core::ops::$trait<u32> for $struct<N,F>{
type Output = $output;
#[inline]
fn $method(self, other: u32) -> Self::Output {
Self::from_bits(self.bits.$method(other))
}
}
};
impl<const CHUNKS:usize,Frac> core::ops::$trait<u32> for $struct<CHUNKS,Frac>{
type Output = $output;
fn $method(self, other: u32) -> Self::Output {
Self {
bits:self.bits.$method(other),
frac:PhantomData,
}
}
}
};
}
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);
}
}
};
( $struct: ident, $trait: ident, $method: ident ) => {
impl<const CHUNKS:usize,Frac> core::ops::$trait<u32> for $struct<CHUNKS,Frac>{
fn $method(&mut self, other: u32) {
self.bits.$method(other);
}
}
};
}
impl_shift_assign_operator!( Fixed, ShlAssign, shl_assign );
impl_shift_operator!( Fixed, Shl, shl, Self );
impl_shift_assign_operator!( Fixed, ShrAssign, shr_assign );
impl_shift_operator!( Fixed, Shr, shr, Self );
// wide operators. The result width is the sum of the input widths, i.e. none of the multiplication
#[allow(unused_macros)]
macro_rules! impl_wide_operators{
($lhs:expr,$rhs:expr)=>{
impl core::ops::Mul<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
type Output=Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>;
#[inline]
fn mul(self, other: Fixed<$rhs,{$rhs*32}>)->Self::Output{
paste::item!{
self.[<wide_mul_ $lhs _ $rhs>](other)
}
}
}
#[cfg(not(feature="deferred-division"))]
impl core::ops::Div<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
type Output=Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>;
#[inline]
fn div(self, other: Fixed<$rhs,{$rhs*32}>)->Self::Output{
paste::item!{
self.[<wide_div_ $lhs _ $rhs>](other)
}
}
}
#[cfg(feature="deferred-division")]
impl ratio_ops::ratio::Divide<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
type Output=Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>;
#[inline]
fn divide(self, other: Fixed<$rhs,{$rhs*32}>)->Self::Output{
paste::item!{
self.[<wide_div_ $lhs _ $rhs>](other)
}
}
}
}
}
// WIDE MUL: multiply into a wider type
// let a = I32F32::ONE;
// let b:I64F64 = a.wide_mul(a);
macro_rules! impl_wide_not_const_generic{
(
(),
($lhs:expr,$rhs:expr)
)=>{
impl Fixed<$lhs,{$lhs*32}>
{
paste::item!{
#[inline]
pub fn [<wide_mul_ $lhs _ $rhs>](self,rhs:Fixed<$rhs,{$rhs*32}>)->Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>{
let lhs=self.bits.as_::<BInt<{$lhs+$rhs}>>();
let rhs=rhs.bits.as_::<BInt<{$lhs+$rhs}>>();
Fixed::from_bits(lhs*rhs)
}
/// This operation cannot represent the fraction exactly,
/// but it shapes the output to have precision for the
/// largest and smallest possible fractions.
#[inline]
pub fn [<wide_div_ $lhs _ $rhs>](self,rhs:Fixed<$rhs,{$rhs*32}>)->Fixed<{$lhs+$rhs},{($lhs+$rhs)*32}>{
// (lhs/2^LHS_FRAC)/(rhs/2^RHS_FRAC)
let lhs=self.bits.as_::<BInt<{$lhs+$rhs}>>().shl($rhs*64);
let rhs=rhs.bits.as_::<BInt<{$lhs+$rhs}>>();
Fixed::from_bits(lhs/rhs)
}
}
}
#[cfg(feature="wide-mul")]
impl_wide_operators!($lhs,$rhs);
};
}
macro_rules! impl_wide_same_size_not_const_generic{
(
(),
$width:expr
)=>{
impl Fixed<$width,{$width*32}>
{
paste::item!{
#[inline]
pub fn [<wide_mul_ $width _ $width>](self,rhs:Fixed<$width,{$width*32}>)->Fixed<{$width*2},{$width*2*32}>{
let (low,high)=self.bits.unsigned_abs().widening_mul(rhs.bits.unsigned_abs());
let out:BInt::<{$width*2}>=unsafe{core::mem::transmute([low,high])};
if self.is_negative()==rhs.is_negative(){
Fixed::from_bits(out)
}else{
// Normal neg is the cheapest negation operation
// And the inputs cannot reach the point where it matters
Fixed::from_bits(out.neg())
}
}
/// This operation cannot represent the fraction exactly,
/// but it shapes the output to have precision for the
/// largest and smallest possible fractions.
#[inline]
pub fn [<wide_div_ $width _ $width>](self,rhs:Fixed<$width,{$width*32}>)->Fixed<{$width*2},{$width*2*32}>{
// (lhs/2^LHS_FRAC)/(rhs/2^RHS_FRAC)
let lhs=self.bits.as_::<BInt<{$width*2}>>().shl($width*64);
let rhs=rhs.bits.as_::<BInt<{$width*2}>>();
Fixed::from_bits(lhs/rhs)
}
}
}
#[cfg(feature="wide-mul")]
impl_wide_operators!($width,$width);
};
}
//const generics sidestepped wahoo
macro_repeated!(
impl_wide_not_const_generic,(),
(2,1),(3,1),(4,1),(5,1),(6,1),(7,1),(8,1),(9,1),(10,1),(11,1),(12,1),(13,1),(14,1),(15,1),
(1,2), (3,2),(4,2),(5,2),(6,2),(7,2),(8,2),(9,2),(10,2),(11,2),(12,2),(13,2),(14,2),
(1,3),(2,3), (4,3),(5,3),(6,3),(7,3),(8,3),(9,3),(10,3),(11,3),(12,3),(13,3),
(1,4),(2,4),(3,4), (5,4),(6,4),(7,4),(8,4),(9,4),(10,4),(11,4),(12,4),
(1,5),(2,5),(3,5),(4,5), (6,5),(7,5),(8,5),(9,5),(10,5),(11,5),
(1,6),(2,6),(3,6),(4,6),(5,6), (7,6),(8,6),(9,6),(10,6),
(1,7),(2,7),(3,7),(4,7),(5,7),(6,7), (8,7),(9,7),
(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8), (9,8),
(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),
(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),
(1,11),(2,11),(3,11),(4,11),(5,11),
(1,12),(2,12),(3,12),(4,12),
(1,13),(2,13),(3,13),
(1,14),(2,14),
(1,15)
);
macro_repeated!(
impl_wide_same_size_not_const_generic,(),
1,2,3,4,5,6,7,8
);
pub trait Fix<Out>{
fn fix(self)->Out;
}
macro_rules! impl_fix_rhs_lt_lhs_not_const_generic{
(
(),
($lhs:expr,$rhs:expr)
)=>{
impl Fixed<$lhs,{$lhs*32}>
{
paste::item!{
#[inline]
pub fn [<fix_ $rhs>](self)->Fixed<$rhs,{$rhs*32}>{
Fixed::from_bits(bnum::cast::As::as_::<BInt::<$rhs>>(self.bits.shr(($lhs-$rhs)*32)))
}
}
}
impl Fix<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
fn fix(self)->Fixed<$rhs,{$rhs*32}>{
paste::item!{
self.[<fix_ $rhs>]()
}
}
}
}
}
macro_rules! impl_fix_lhs_lt_rhs_not_const_generic{
(
(),
($lhs:expr,$rhs:expr)
)=>{
impl Fixed<$lhs,{$lhs*32}>
{
paste::item!{
#[inline]
pub fn [<fix_ $rhs>](self)->Fixed<$rhs,{$rhs*32}>{
Fixed::from_bits(bnum::cast::As::as_::<BInt::<$rhs>>(self.bits).shl(($rhs-$lhs)*32))
}
}
}
impl Fix<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
fn fix(self)->Fixed<$rhs,{$rhs*32}>{
paste::item!{
self.[<fix_ $rhs>]()
}
}
}
}
}
macro_rules! impl_fix_lhs_eq_rhs_not_const_generic{
(
(),
($lhs:expr,$rhs:expr)
)=>{
impl Fixed<$lhs,{$lhs*32}>
{
paste::item!{
#[inline]
pub fn [<fix_ $rhs>](self)->Fixed<$rhs,{$rhs*32}>{
self
}
}
}
impl Fix<Fixed<$rhs,{$rhs*32}>> for Fixed<$lhs,{$lhs*32}>{
fn fix(self)->Fixed<$rhs,{$rhs*32}>{
paste::item!{
self.[<fix_ $rhs>]()
}
}
}
}
}
// I LOVE NOT BEING ABLE TO USE CONST GENERICS
macro_repeated!(
impl_fix_rhs_lt_lhs_not_const_generic,(),
(2,1),(3,1),(4,1),(5,1),(6,1),(7,1),(8,1),(9,1),(10,1),(11,1),(12,1),(13,1),(14,1),(15,1),(16,1),(17,1),
(3,2),(4,2),(5,2),(6,2),(7,2),(8,2),(9,2),(10,2),(11,2),(12,2),(13,2),(14,2),(15,2),(16,2),
(4,3),(5,3),(6,3),(7,3),(8,3),(9,3),(10,3),(11,3),(12,3),(13,3),(14,3),(15,3),(16,3),
(5,4),(6,4),(7,4),(8,4),(9,4),(10,4),(11,4),(12,4),(13,4),(14,4),(15,4),(16,4),
(6,5),(7,5),(8,5),(9,5),(10,5),(11,5),(12,5),(13,5),(14,5),(15,5),(16,5),
(7,6),(8,6),(9,6),(10,6),(11,6),(12,6),(13,6),(14,6),(15,6),(16,6),
(8,7),(9,7),(10,7),(11,7),(12,7),(13,7),(14,7),(15,7),(16,7),
(9,8),(10,8),(11,8),(12,8),(13,8),(14,8),(15,8),(16,8),
(10,9),(11,9),(12,9),(13,9),(14,9),(15,9),(16,9),
(11,10),(12,10),(13,10),(14,10),(15,10),(16,10),
(12,11),(13,11),(14,11),(15,11),(16,11),
(13,12),(14,12),(15,12),(16,12),
(14,13),(15,13),(16,13),
(15,14),(16,14),
(16,15)
);
macro_repeated!(
impl_fix_lhs_lt_rhs_not_const_generic,(),
(1,2),
(1,3),(2,3),
(1,4),(2,4),(3,4),
(1,5),(2,5),(3,5),(4,5),
(1,6),(2,6),(3,6),(4,6),(5,6),
(1,7),(2,7),(3,7),(4,7),(5,7),(6,7),
(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),
(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9),
(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10),
(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11),
(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,12),(10,12),(11,12),
(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,13),(8,13),(9,13),(10,13),(11,13),(12,13),
(1,14),(2,14),(3,14),(4,14),(5,14),(6,14),(7,14),(8,14),(9,14),(10,14),(11,14),(12,14),(13,14),
(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,15),(10,15),(11,15),(12,15),(13,15),(14,15),
(1,16),(2,16),(3,16),(4,16),(5,16),(6,16),(7,16),(8,16),(9,16),(10,16),(11,16),(12,16),(13,16),(14,16),(15,16)
);
macro_repeated!(
impl_fix_lhs_eq_rhs_not_const_generic,(),
(1,1),(2,2),(3,3),(4,4),(5,5),(6,6),(7,7),(8,8),(9,9),(10,10),(11,11),(12,12),(13,13),(14,14),(15,15),(16,16)
);
macro_rules! impl_not_const_generic{
($n:expr,$_2n:expr)=>{
impl Fixed<$n,{$n*32}>{
paste::item!{
#[inline]
pub fn sqrt_unchecked(self)->Self{
//1<<max_shift must be the minimum power of two which when squared is greater than self
//calculating max_shift:
//1. count "used" bits to the left of the decimal, not including the sign bit (so -1)
//2. divide by 2 via >>1 (sqrt-ish)
//3. add on fractional offset
//Voila
let used_bits=self.bits.bits() as i32-1-($n*32) as i32;
let max_shift=((used_bits>>1)+($n*32) as i32) as u32;
let mut result=Self::ZERO;
//resize self to match the wide mul output
let wide_self=self.[<fix_ $_2n>]();
//descend down the bits and check if flipping each bit would push the square over the input value
for shift in (0..=max_shift).rev(){
let new_result={
let mut bits=result.to_bits().to_bits();
bits.set_bit(shift,true);
Self::from_bits(BInt::from_bits(bits))
};
if new_result.[<wide_mul_ $n _ $n>](new_result)<=wide_self{
result=new_result;
}
}
result
}
}
#[inline]
pub fn sqrt(self)->Self{
if self<Self::ZERO{
panic!("Square root less than zero")
}else{
self.sqrt_unchecked()
}
}
#[inline]
pub fn sqrt_checked(self)->Option<Self>{
if self<Self::ZERO{
None
}else{
Some(self.sqrt_unchecked())
}
}
}
}
}
impl_not_const_generic!(1,2);
impl_not_const_generic!(2,4);
impl_not_const_generic!(3,6);
impl_not_const_generic!(4,8);
impl_not_const_generic!(5,10);
impl_not_const_generic!(6,12);
impl_not_const_generic!(7,14);
impl_not_const_generic!(8,16);

View File

@ -0,0 +1,44 @@
use bnum::BInt;
use bnum::cast::As;
use typenum::{Sum,Unsigned};
use crate::fixed::Fixed;
use fixed_wide_traits::wide::WideMul;
use std::marker::PhantomData;
macro_rules! impl_wide_mul {
($lhs: expr,$rhs: expr) => {
impl<A,B> WideMul<Fixed<$rhs,B>> for Fixed<$lhs,A>
where
A:std::ops::Add<B>,
B:Unsigned,
{
type Output=Fixed<{$lhs+$rhs},Sum<A,B>>;
fn wide_mul(self,rhs:Fixed<$rhs,B>)->Self::Output{
Fixed{
bits:self.bits.as_::<BInt<{$lhs+$rhs}>>()*rhs.bits.as_::<BInt<{$lhs+$rhs}>>(),
frac:PhantomData,
}
}
}
};
}
macro_rules! impl_wide_mul_all {
($(($x:expr, $y:expr)),*) => {
$(
impl_wide_mul!($x, $y);
)*
};
}
//const generics sidestepped wahoo
impl_wide_mul_all!(
(1,1),(2,1),(3,1),(4,1),(5,1),(6,1),(7,1),(8,1),
(1,2),(2,2),(3,2),(4,2),(5,2),(6,2),(7,2),(8,2),
(1,3),(2,3),(3,3),(4,3),(5,3),(6,3),(7,3),(8,3),
(1,4),(2,4),(3,4),(4,4),(5,4),(6,4),(7,4),(8,4),
(1,5),(2,5),(3,5),(4,5),(5,5),(6,5),(7,5),(8,5),
(1,6),(2,6),(3,6),(4,6),(5,6),(6,6),(7,6),(8,6),
(1,7),(2,7),(3,7),(4,7),(5,7),(6,7),(7,7),(8,7),
(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8),(8,8)
);

View File

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

View File

@ -1,218 +1,14 @@
use crate::types::I32F32;
use crate::types::I256F256;
#[test]
fn you_can_add_numbers(){
let a=I256F256::from((3i128*2).pow(4));
assert_eq!(a+a,I256F256::from((3i128*2).pow(4)*2));
}
#[test]
fn to_f32(){
let a=I256F256::from(1)>>2;
let f:f32=a.into();
assert_eq!(f,0.25f32);
let f:f32=(-a).into();
assert_eq!(f,-0.25f32);
let a=I256F256::from(0);
let f:f32=(-a).into();
assert_eq!(f,0f32);
let a=I256F256::from(237946589723468975i64)<<16;
let f:f32=a.into();
assert_eq!(f,237946589723468975f32*2.0f32.powi(16));
}
#[test]
fn to_f64(){
let a=I256F256::from(1)>>2;
let f:f64=a.into();
assert_eq!(f,0.25f64);
let f:f64=(-a).into();
assert_eq!(f,-0.25f64);
let a=I256F256::from(0);
let f:f64=(-a).into();
assert_eq!(f,0f64);
let a=I256F256::from(237946589723468975i64)<<16;
let f:f64=a.into();
assert_eq!(f,237946589723468975f64*2.0f64.powi(16));
}
#[test]
fn from_f32(){
let a=I256F256::from(1)>>2;
let b:Result<I256F256,_>=0.25f32.try_into();
assert_eq!(b,Ok(a));
let a=I256F256::from(-1)>>2;
let b:Result<I256F256,_>=(-0.25f32).try_into();
assert_eq!(b,Ok(a));
let a=I256F256::from(0);
let b:Result<I256F256,_>=0.try_into();
assert_eq!(b,Ok(a));
let a=I256F256::from(0b101011110101001010101010000000000000000000000000000i64)<<16;
let b:Result<I256F256,_>=(0b101011110101001010101010000000000000000000000000000u64 as f32*2.0f32.powi(16)).try_into();
assert_eq!(b,Ok(a));
//I32F32::MAX into f32 is truncated into this value
let a=I32F32::raw(0b111111111111111111111111000000000000000000000000000000000000000i64);
let b:Result<I32F32,_>=Into::<f32>::into(I32F32::MAX).try_into();
assert_eq!(b,Ok(a));
//I32F32::MIN hits a special case since it's not representable as a positive signed integer
//TODO: don't return an overflow because this is technically possible
let a=I32F32::MIN;
let b:Result<I32F32,_>=Into::<f32>::into(I32F32::MIN).try_into();
assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Overflow));
//16 is within the 24 bits of float precision
let b:Result<I32F32,_>=Into::<f32>::into(-I32F32::MIN.fix_2()).try_into();
assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Overflow));
let b:Result<I32F32,_>=f32::MIN_POSITIVE.try_into();
assert_eq!(b,Err(crate::fixed::FixedFromFloatError::Underflow));
//test many cases
for i in 0..64{
let a=crate::fixed::Fixed::<2,64>::raw_digit(0b111111111111111111111111000000000000000000000000000000000000000i64)<<i;
let f:f32=a.into();
let b:Result<crate::fixed::Fixed<2,64>,_>=f.try_into();
assert_eq!(b,Ok(a));
}
}
#[test]
fn from_f64(){
let a=I256F256::from(1)>>2;
let b:Result<I256F256,_>=0.25f64.try_into();
assert_eq!(b,Ok(a));
let a=I256F256::from(-1)>>2;
let b:Result<I256F256,_>=(-0.25f64).try_into();
assert_eq!(b,Ok(a));
let a=I256F256::from(0);
let b:Result<I256F256,_>=0.try_into();
assert_eq!(b,Ok(a));
let a=I256F256::from(0b101011110101001010101010000000000000000000000000000i64)<<16;
let b:Result<I256F256,_>=(0b101011110101001010101010000000000000000000000000000u64 as f64*2.0f64.powi(16)).try_into();
assert_eq!(b,Ok(a));
}
#[test]
fn you_can_shr_numbers(){
let a=I32F32::from(4);
assert_eq!(a>>1,I32F32::from(2));
}
use fixed_wide_traits::wide::WideMul;
#[test]
fn test_wide_mul(){
let a=I32F32::ONE;
let aa=a.wide_mul_1_1(a);
let a=crate::types::I32F32::ONE;
let aa=a.wide_mul(a);
assert_eq!(aa,crate::types::I64F64::ONE);
}
#[test]
fn test_wide_div(){
let a=I32F32::ONE*4;
let b=I32F32::ONE*2;
let wide_a=a.wide_mul_1_1(I32F32::ONE);
let wide_b=b.wide_mul_1_1(I32F32::ONE);
let ab=a.wide_div_1_1(b);
assert_eq!(ab,crate::types::I64F64::ONE*2);
let wab=wide_a.wide_div_2_1(b);
assert_eq!(wab,crate::fixed::Fixed::<3,96>::ONE*2);
let awb=a.wide_div_1_2(wide_b);
assert_eq!(awb,crate::fixed::Fixed::<3,96>::ONE*2);
}
#[test]
fn test_wide_mul_repeated() {
let a=I32F32::from(2);
let b=I32F32::from(3);
let w1=a.wide_mul_1_1(b);
let w2=w1.wide_mul_2_2(w1);
let w3=w2.wide_mul_4_4(w2);
assert_eq!(w3,I256F256::from((3i128*2).pow(4)));
}
#[test]
fn test_bint(){
let a=I32F32::ONE;
assert_eq!(a*2,I32F32::from(2));
}
#[test]
fn test_fix(){
assert_eq!(I32F32::ONE.fix_8(),I256F256::ONE);
assert_eq!(I32F32::ONE,I256F256::ONE.fix_1());
assert_eq!(I32F32::NEG_ONE.fix_8(),I256F256::NEG_ONE);
assert_eq!(I32F32::NEG_ONE,I256F256::NEG_ONE.fix_1());
}
#[test]
fn test_sqrt(){
let a=I32F32::ONE*4;
assert_eq!(a.sqrt(),I32F32::from(2));
}
#[test]
fn test_sqrt_zero(){
let a=I32F32::ZERO;
assert_eq!(a.sqrt(),I32F32::ZERO);
}
#[test]
fn test_sqrt_low(){
let a=I32F32::HALF;
let b=a.fixed_mul(a);
assert_eq!(b.sqrt(),a);
}
fn find_equiv_sqrt_via_f64(n:I32F32)->I32F32{
//GIMME THEM BITS BOY
let &[bits]=n.to_bits().to_bits().digits();
let ibits=bits as i64;
let f=(ibits as f64)/((1u64<<32) as f64);
let f_ans=f.sqrt();
let i=(f_ans*((1u64<<32) as f64)) as i64;
let r=I32F32::from_bits(bnum::BInt::<1>::from(i));
//mimic the behaviour of the algorithm,
//return the result if it truncates to the exact answer
if (r+I32F32::EPSILON).wide_mul_1_1(r+I32F32::EPSILON)==n.wide_mul_1_1(I32F32::ONE){
return r+I32F32::EPSILON;
}
if (r-I32F32::EPSILON).wide_mul_1_1(r-I32F32::EPSILON)==n.wide_mul_1_1(I32F32::ONE){
return r-I32F32::EPSILON;
}
return r;
}
fn test_exact(n:I32F32){
assert_eq!(n.sqrt(),find_equiv_sqrt_via_f64(n));
}
#[test]
fn test_sqrt_exact(){
//43
for i in 0..((i64::MAX as f32).ln() as u32){
let n=I32F32::from_bits(bnum::BInt::<1>::from((i as f32).exp() as i64));
test_exact(n);
}
}
#[test]
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),
])
);
let a=crate::types::I32F32::ONE;
assert_eq!(a*2,crate::types::I32F32::from(2));
}

View File

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

View File

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

63
fixed_wide_traits/Cargo.lock generated Normal file
View File

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

View File

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

View File

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

View File

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

View File

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

1
fixed_wide_vectors/.gitignore vendored Normal file
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@ -0,0 +1 @@
/target

View File

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

View File

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

View File

@ -0,0 +1,20 @@
use std::ops::Add;
use fixed_wide_traits::wide::WideDot;
//TODO: replace this with 4x3 matrix
// mat4x3.wide_dot(vec3.extend(1))
pub struct Affine<M,T>{
pub matrix:M,
pub offset:T,
}
impl<M:Copy,T:Copy> Affine<M,T>{
pub fn wide_transform<X>(&self,input:X)-><<M as WideDot<X>>::Output as Add<T>>::Output
where
M:WideDot<X>,
<M as WideDot<X>>::Output:Add<T>,
{
self.matrix.wide_dot(input)+self.offset
}
}

View File

@ -0,0 +1,13 @@
mod macros;
mod traits;
mod vector;
#[cfg(feature="fixed_wide_traits")]
pub mod affine;
pub use vector::Vector2;
pub use vector::Vector3;
pub use vector::Vector4;
#[cfg(test)]
mod tests;

View File

@ -0,0 +1,323 @@
#[cfg(feature="fixed_wide_traits")]
pub mod wide;
// Stolen from https://github.com/c1m50c/fixed-vectors (MIT license)
#[doc(hidden)]
#[macro_export(local_inner_macros)]
macro_rules! impl_vector {
( $struct: ident { $($field: ident), + }, ( $($generic: ident), + ), $size: expr ) => {
impl<T> $struct<T> {
/// Constructs a new vector with the specified values for each field.
///
/// # Example
///
/// ```
/// use fixed_wide_vectors::Vector2;
///
/// let vec2 = Vector2::new(0, 0);
///
/// assert_eq!(vec2.x, 0);
/// assert_eq!(vec2.y, 0);
/// ```
#[inline(always)]
pub const fn new( $($field: T), + ) -> Self {
Self {
$( $field ), +
}
}
/// Consumes the vector and returns its values as an array.
///
/// # Example
///
/// ```
/// use fixed_wide_vectors::Vector2;
///
/// let vec2 = Vector2::new(0, 0);
/// let array = vec2.to_array();
///
/// assert_eq!(array, [0, 0]);
/// ```
#[inline(always)]
pub fn to_array(self) -> [T; $size] {
[ $(self.$field), + ]
}
/// Consumes the vector and returns its values as a tuple.
///
/// # Example
///
/// ```
/// use fixed_wide_vectors::Vector2;
///
/// let vec2 = Vector2::new(0, 0);
/// let tuple = vec2.to_tuple();
///
/// assert_eq!(tuple, (0, 0));
/// ```
#[inline(always)]
pub fn to_tuple(self) -> ( $($generic), + ) {
( $(self.$field), + )
}
/// Consumes the vector and returns a new vector with the given function applied on each field.
///
/// # Example
///
/// ```
/// use fixed_wide_vectors::Vector2;
///
/// let vec2 = Vector2::new(1, 2)
/// .map(|i| i * 2);
///
/// assert_eq!(vec2, Vector2::new(2, 4));
/// ```
#[inline]
pub fn map<F, U>(self, f: F) -> $struct<U>
where
F: Fn(T) -> U
{
$struct {
$( $field: f(self.$field) ), +
}
}
}
impl<T: Copy> $struct<T> {
/// Constructs a vector using the given `value` as the value for all of its fields.
///
/// # Example
///
/// ```
/// use fixed_wide_vectors::Vector2;
///
/// let vec2 = Vector2::from_value(0);
///
/// assert_eq!(vec2, Vector2::new(0, 0));
/// ```
#[inline(always)]
pub const fn from_value(value: T) -> Self {
Self {
$( $field: value ), +
}
}
}
impl<T> From<[T; $size]> for $struct<T> {
fn from(from: [T; $size]) -> Self {
let mut iterator = from.into_iter();
Self {
// SAFETY: We know the size of `from` so `iterator.next()` is always `Some(..)`
$( $field: unsafe { iterator.next().unwrap_unchecked() } ), +
}
}
}
impl<T> From<($($generic), +)> for $struct<T> {
fn from(from: ($($generic), +)) -> Self {
let ( $($field), + ) = from;
Self {
$( $field ), +
}
}
}
impl<T: core::fmt::Debug> core::fmt::Debug for $struct<T> {
fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {
let identifier = core::stringify!($struct);
f.debug_struct(identifier)
$( .field( core::stringify!($field), &self.$field ) ) +
.finish()
}
}
impl<T: PartialEq> PartialEq for $struct<T> {
fn eq(&self, other: &Self) -> bool {
$( self.$field == other.$field ) && +
}
}
impl<T: Eq> Eq for $struct<T> { }
impl<T: core::hash::Hash> core::hash::Hash for $struct<T> {
fn hash<H: core::hash::Hasher>(&self, state: &mut H) {
$( self.$field.hash(state); ) +
}
}
impl<T: Clone> Clone for $struct<T> {
fn clone(&self) -> Self {
Self {
$( $field: self.$field.clone() ), +
}
}
}
impl<T: Copy> Copy for $struct<T> { }
impl<T: Default> Default for $struct<T> {
fn default() -> Self {
Self {
$( $field: T::default() ), +
}
}
}
impl<T: Ord> $struct<T> {
pub fn min(self, rhs: Self) -> $struct<T> {
$struct{
$( $field: self.$field.min(rhs.$field) ), +
}
}
pub fn max(self, rhs: Self) -> $struct<T> {
$struct{
$( $field: self.$field.max(rhs.$field) ), +
}
}
pub fn cmp(self, rhs: Self) -> $struct<core::cmp::Ordering> {
$struct{
$( $field: self.$field.cmp(&rhs.$field) ), +
}
}
pub fn lt(self, rhs: Self) -> $struct<bool> {
$struct{
$( $field: self.$field.lt(&rhs.$field) ), +
}
}
pub fn gt(self, rhs: Self) -> $struct<bool> {
$struct{
$( $field: self.$field.gt(&rhs.$field) ), +
}
}
pub fn ge(self, rhs: Self) -> $struct<bool> {
$struct{
$( $field: self.$field.ge(&rhs.$field) ), +
}
}
pub fn le(self, rhs: Self) -> $struct<bool> {
$struct{
$( $field: self.$field.le(&rhs.$field) ), +
}
}
}
impl $struct<bool>{
pub fn all(&self)->bool{
const ALL:[bool;$size]=[true;$size];
core::matches!(self.to_array(),ALL)
}
pub fn any(&self)->bool{
$( self.$field )|| +
}
}
impl<T: core::ops::Neg<Output = T>> core::ops::Neg for $struct<T> {
type Output = Self;
fn neg(self) -> Self::Output {
Self {
$( $field: -self.$field ), +
}
}
}
// Impl arithmetic pperators
$crate::impl_operator!( $struct { $($field), + }, AddAssign, add_assign );
$crate::impl_operator!( $struct { $($field), + }, Add, add, Self );
$crate::impl_operator!( $struct { $($field), + }, SubAssign, sub_assign );
$crate::impl_operator!( $struct { $($field), + }, Sub, sub, Self );
$crate::impl_operator!( $struct { $($field), + }, MulAssign, mul_assign );
$crate::impl_operator!( $struct { $($field), + }, Mul, mul, Self );
$crate::impl_operator!( $struct { $($field), + }, DivAssign, div_assign );
$crate::impl_operator!( $struct { $($field), + }, Div, div, Self );
$crate::impl_operator!( $struct { $($field), + }, RemAssign, rem_assign );
$crate::impl_operator!( $struct { $($field), + }, Rem, rem, Self );
// Impl bitwise operators
$crate::impl_operator!( $struct { $($field), + }, BitAndAssign, bitand_assign );
$crate::impl_operator!( $struct { $($field), + }, BitAnd, bitand, Self );
$crate::impl_operator!( $struct { $($field), + }, BitOrAssign, bitor_assign );
$crate::impl_operator!( $struct { $($field), + }, BitOr, bitor, Self );
$crate::impl_operator!( $struct { $($field), + }, BitXorAssign, bitxor_assign );
$crate::impl_operator!( $struct { $($field), + }, BitXor, bitxor, Self );
// Impl floating-point based methods
#[cfg(feature="fixed_wide_traits")]
$crate::impl_wide_operations!( $struct { $($field), + }, $size );
};
}
#[doc(hidden)]
#[macro_export(local_inner_macros)]
macro_rules! impl_matrix_inner {
( $struct_outer: ident { $($field_outer: ident), + }, $size_outer: expr,
$field_inner: ident) => {
$struct_outer {
$(
$field_outer: self.$field_outer.$field_inner
),+
}
}
}
#[doc(hidden)]
#[macro_export(local_inner_macros)]
macro_rules! impl_matrix {
( $struct_outer: ident { $($field_outer: ident),+ }, $size_outer: expr) => {
impl<T> Transpose for $struct_outer<$struct_inner<T>> {
fn transpose(self) -> $struct_inner<$struct_outer<T>> {
$struct_inner {
$(
$field_inner: impl_matrix_inner!(
Vector2{x,y}, $size_outer,
$field_inner
)
),+
}
}
}
}
}
#[doc(hidden)]
#[macro_export(local_inner_macros)]
macro_rules! impl_operator {
( $struct: ident { $($field: ident), + }, $trait: ident, $method: ident, $output: ty ) => {
impl<T:core::ops::$trait<Output=T>> core::ops::$trait for $struct<T> {
type Output = $output;
fn $method(self, other: Self) -> Self::Output {
Self {
$( $field: self.$field.$method(other.$field) ), +
}
}
}
impl<T:core::ops::$trait<Output=T>+Copy> core::ops::$trait<T> for $struct<T>{
type Output = $output;
fn $method(self, other: T) -> Self::Output {
$struct {
$( $field: self.$field.$method(other) ), +
}
}
}
};
( $struct: ident { $($field: ident), + }, $trait: ident, $method: ident ) => {
impl<T: core::ops::$trait> core::ops::$trait for $struct<T> {
fn $method(&mut self, other: Self) {
$( self.$field.$method(other.$field) ); +
}
}
impl<T: core::ops::$trait + Copy> core::ops::$trait<T> for $struct<T> {
fn $method(&mut self, other: T) {
$( self.$field.$method(other) ); +
}
}
};
}

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

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@ -0,0 +1,51 @@
use fixed_wide_traits::wide::WideMul;
use fixed_wide_traits::wide::WideDot;
use crate::Vector3;
type Planar64=fixed_wide::types::I32F32;
//type Planar64Wide1=fixed::types::I64F64;
//type Planar64Wide2=fixed_wide::types::I128F128;
type Planar64Wide3=fixed_wide::types::I256F256;
#[test]
fn wide_int64() {
let a=Planar64::from(2);
let b=Planar64::from(3);
let w1=a.wide_mul(b);
let w2=w1.wide_mul(w1);
let w3=w2.wide_mul(w2);
assert_eq!(w3,Planar64Wide3::from((3i128*2).pow(4)));
}
#[test]
fn wide_vec3(){
let v=Vector3::from_value(Planar64::from(3));
let v1=v.wide_mul(v);
let v2=v1.wide_mul(v1);
let v3=v2.wide_mul(v2);
assert_eq!(v3,Vector3::from_value(Planar64Wide3::from(3i128.pow(8))));
}
#[test]
fn wide_vec3_dot(){
let v=Vector3::from_value(Planar64::from(3));
let v1=v.wide_mul(v);
let v2=v1.wide_mul(v1);
let v3=v2.wide_dot(v2);
assert_eq!(v3,Planar64Wide3::from(3i128.pow(8)*3));
}
#[test]
fn wide_vec3_length_squared(){
let v=Vector3::from_value(Planar64::from(3));
let v1=v.wide_mul(v);
let v2=v1.wide_mul(v1);
let v3=v2.wide_length_squared();
assert_eq!(v3,Planar64Wide3::from(3i128.pow(8)*3));
}

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

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

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@ -0,0 +1,8 @@
pub trait Dot<Rhs=Self>{
type Output;
fn dot(self,rhs:Rhs)->Self::Output;
}
pub trait Transpose{
type Output;
fn transpose(self)->Self::Output;
}

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@ -0,0 +1,73 @@
// Stolen from https://github.com/c1m50c/fixed-vectors (MIT license)
/// Vector for holding two-dimensional values.
///
/// # Example
///
/// ```
/// use fixed_wide_vectors::Vector2;
///
/// let mut vec2 = Vector2::new(1, 2);
/// vec2 += Vector2::new(1, 2);
///
/// assert_eq!(vec2.x, 2);
/// assert_eq!(vec2.y, 4);
/// ```
pub struct Vector2<T> {
pub x: T,
pub y: T,
}
/// Vector for holding three-dimensional values.
///
/// # Example
///
/// ```
/// use fixed_wide_vectors::Vector3;
///
/// let mut vec3 = Vector3::new(1, 2, 3);
/// vec3 += Vector3::new(1, 2, 3);
///
/// assert_eq!(vec3.x, 2);
/// assert_eq!(vec3.y, 4);
/// assert_eq!(vec3.z, 6);
/// ```
pub struct Vector3<T> {
pub x: T,
pub y: T,
pub z: T,
}
/// Vector for holding four-dimensional values.
///
/// # Example
///
/// ```
/// use fixed_wide_vectors::Vector4;
///
/// let mut vec4 = Vector4::new(1, 2, 3, 4);
/// vec4 += Vector4::new(1, 2, 3, 4);
///
/// assert_eq!(vec4.x, 2);
/// assert_eq!(vec4.y, 4);
/// assert_eq!(vec4.z, 6);
/// assert_eq!(vec4.w, 8);
/// ```
pub struct Vector4<T> {
pub x: T,
pub y: T,
pub z: T,
pub w: T,
}
crate::impl_vector!(Vector2 { x, y }, (T, T), 2);
crate::impl_vector!(Vector3 { x, y, z }, (T, T, T), 3);
crate::impl_vector!(Vector4 { x, y, z, w }, (T, T, T, T), 4);
//This internally implements non square matrices, idk how else to separate the repeated fields
crate::impl_matrix!(Vector2 { x, y }, 2);
crate::impl_matrix!(Vector3 { x, y, z }, 3);
crate::impl_matrix!(Vector4 { x, y, z, w }, 4);

View File

@ -1,22 +0,0 @@
[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"] }

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@ -1,176 +0,0 @@
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,
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outstanding shares, or (iii) beneficial ownership of such entity.
"You" (or "Your") shall mean an individual or Legal Entity
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You may add Your own copyright statement to Your modifications and
may provide additional or different license terms and conditions
for use, reproduction, or distribution of Your modifications, or
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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
this License, without any additional terms or conditions.
Notwithstanding the above, nothing herein shall supersede or modify
the terms of any separate license agreement you may have executed
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6. Trademarks. This License does not grant permission to use the trade
names, trademarks, service marks, or product names of the Licensor,
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7. Disclaimer of Warranty. Unless required by applicable law or
agreed to in writing, Licensor provides the Work (and each
Contributor provides its Contributions) on an "AS IS" BASIS,
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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
result of this License or out of the use or inability to use the
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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
the Work or Derivative Works thereof, You may choose to offer,
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License. However, in accepting such obligations, You may act only
on Your own behalf and on Your sole responsibility, not on behalf
of any other Contributor, and only if You agree to indemnify,
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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

View File

@ -1,23 +0,0 @@
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.

View File

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

View File

@ -1 +0,0 @@

View File

@ -1,79 +0,0 @@
#[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>]())
}
}
}
}
}

View File

@ -1,272 +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;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],
])
}
}
}
}

View File

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

View File

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

View File

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

View File

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

View File

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

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

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

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

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

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

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@ -1,10 +0,0 @@
[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]

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@ -1,176 +0,0 @@
Apache License
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http://www.apache.org/licenses/
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END OF TERMS AND CONDITIONS

View File

@ -1,23 +0,0 @@
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
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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.

View File

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

View File

@ -1,297 +0,0 @@
#[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))
}
}

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@ -1,58 +0,0 @@
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);
// }