v0.5.2 update deps

Cargo.lock

@@ -2,6 +2,12 @@
 # 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 = "bitflags"
 version = "2.6.0"
@@ -9,10 +15,28 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "b048fb63fd8b5923fc5aa7b340d8e156aec7ec02f0c78fa8a6ddc2613f6f71de"
 
 [[package]]
-name = "glam"
+name = "bnum"
-version = "0.28.0"
+version = "0.12.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "779ae4bf7e8421cf91c0b3b64e7e8b40b862fba4d393f59150042de7c4965a94"
+checksum = "50202def95bf36cb7d1d7a7962cea1c36a3f8ad42425e5d2b71d7acb8041b5b8"
+
+[[package]]
+name = "fixed_wide"
+version = "0.1.1"
+source = "sparse+https://git.itzana.me/api/packages/strafesnet/cargo/"
+checksum = "d9c2cf115b3785ede870fada07e8b1aeba3378345b4ca86fe3c772ecabc05c0f"
+dependencies = [
+ "arrayvec",
+ "bnum",
+ "paste",
+ "ratio_ops",
+]
+
+[[package]]
+name = "glam"
+version = "0.29.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "c28091a37a5d09b555cb6628fd954da299b536433834f5b8e59eba78e0cbbf8a"
 
 [[package]]
 name = "id"
@@ -26,37 +50,64 @@ dependencies = [
 ]
 
 [[package]]
-name = "proc-macro2"
+name = "linear_ops"
-version = "1.0.78"
+version = "0.1.0"
+source = "sparse+https://git.itzana.me/api/packages/strafesnet/cargo/"
+checksum = "b2e6977ac24f47086d8a7a2d4ae1c720e86dfdc8407cf5e34c18bfa01053c456"
+dependencies = [
+ "fixed_wide",
+ "paste",
+ "ratio_ops",
+]
+
+[[package]]
+name = "paste"
+version = "1.0.15"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "e2422ad645d89c99f8f3e6b88a9fdeca7fabeac836b1002371c4367c8f984aae"
+checksum = "57c0d7b74b563b49d38dae00a0c37d4d6de9b432382b2892f0574ddcae73fd0a"
+
+[[package]]
+name = "proc-macro2"
+version = "1.0.86"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5e719e8df665df0d1c8fbfd238015744736151d4445ec0836b8e628aae103b77"
 dependencies = [
  "unicode-ident",
 ]
 
 [[package]]
 name = "quote"
-version = "1.0.35"
+version = "1.0.37"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "291ec9ab5efd934aaf503a6466c5d5251535d108ee747472c3977cc5acc868ef"
+checksum = "b5b9d34b8991d19d98081b46eacdd8eb58c6f2b201139f7c5f643cc155a633af"
 dependencies = [
  "proc-macro2",
 ]
 
+[[package]]
+name = "ratio_ops"
+version = "0.1.0"
+source = "sparse+https://git.itzana.me/api/packages/strafesnet/cargo/"
+checksum = "01239195d6afe0509e7e3511b716c0540251dfe7ece0a9a5a27116afb766c42c"
+
 [[package]]
 name = "strafesnet_common"
-version = "0.2.0"
+version = "0.5.2"
 dependencies = [
+ "arrayvec",
  "bitflags",
+ "fixed_wide",
  "glam",
  "id",
+ "linear_ops",
+ "ratio_ops",
 ]
 
 [[package]]
 name = "syn"
-version = "2.0.52"
+version = "2.0.79"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "b699d15b36d1f02c3e7c69f8ffef53de37aefae075d8488d4ba1a7788d574a07"
+checksum = "89132cd0bf050864e1d38dc3bbc07a0eb8e7530af26344d3d2bbbef83499f590"
 dependencies = [
  "proc-macro2",
  "quote",
@@ -65,6 +116,6 @@ dependencies = [
 
 [[package]]
 name = "unicode-ident"
-version = "1.0.12"
+version = "1.0.13"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "3354b9ac3fae1ff6755cb6db53683adb661634f67557942dea4facebec0fee4b"
+checksum = "e91b56cd4cadaeb79bbf1a5645f6b4f8dc5bde8834ad5894a8db35fda9efa1fe"

Cargo.toml

@@ -1,6 +1,6 @@
 [package]
 name = "strafesnet_common"
-version = "0.2.0"
+version = "0.5.2"
 edition = "2021"
 repository = "https://git.itzana.me/StrafesNET/common"
 license = "MIT OR Apache-2.0"
@@ -10,6 +10,10 @@ authors = ["Rhys Lloyd <krakow20@gmail.com>"]
 # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
 
 [dependencies]
+arrayvec = "0.7.4"
 bitflags = "2.6.0"
-glam = "0.28.0"
+fixed_wide = { version = "0.1.1", registry = "strafesnet", features = ["deferred-division","zeroes","wide-mul"] }
+linear_ops = { version = "0.1.0", registry = "strafesnet", features = ["deferred-division","named-fields"] }
+ratio_ops = { version = "0.1.0", registry = "strafesnet" }
+glam = "0.29.0"
 id = { version = "0.1.0", registry = "strafesnet" }

src/aabb.rs

@@ -1,4 +1,4 @@
-use crate::integer::Planar64Vec3;
+use crate::integer::{vec3,Planar64Vec3};
 
 #[derive(Clone)]
 pub struct Aabb{
@@ -8,7 +8,7 @@ pub struct Aabb{
 
 impl Default for Aabb{
 	fn default()->Self{
-		Self{min:Planar64Vec3::MAX,max:Planar64Vec3::MIN}
+		Self{min:vec3::MAX,max:vec3::MIN}
 	}
 }
 
@@ -35,13 +35,14 @@ impl Aabb{
 		self.max+=hs;
 	}
 	pub fn intersects(&self,aabb:&Aabb)->bool{
-		(self.min.cmplt(aabb.max)&aabb.min.cmplt(self.max)).all()
+		let bvec=self.min.lt(aabb.max)&aabb.min.lt(self.max);
+		bvec.all()
 	}
 	pub fn size(&self)->Planar64Vec3{
 		self.max-self.min
 	}
 	pub fn center(&self)->Planar64Vec3{
-		self.min.midpoint(self.max)
+		self.min+(self.max-self.min)>>1
 	}
 	//probably use floats for area & volume because we don't care about precision
 	// pub fn area_weight(&self)->f32{

src/bvh.rs

@@ -19,11 +19,18 @@ impl<R,T> Default for RecursiveContent<R,T>{
 		Self::Branch(Vec::new())
 	}
 }
-#[derive(Default)]
 pub struct BvhNode<T>{
 	content:RecursiveContent<BvhNode<T>,T>,
 	aabb:Aabb,
 }
+impl<T> Default for BvhNode<T>{
+	fn default()->Self{
+		Self{
+			content:Default::default(),
+			aabb:Aabb::default(),
+		}
+	}
+}
 pub struct BvhWeightNode<W,T>{
 	content:RecursiveContent<BvhWeightNode<W,T>,T>,
 	weight:W,
@@ -114,16 +121,14 @@ fn generate_bvh_node<T>(boxen:Vec<(T,Aabb)>,force:bool)->BvhNode<T>{
 			aabb,
 		}
 	}else{
-		let mut octant=std::collections::HashMap::with_capacity(n);//this ids which octant the boxen is put in
 		let mut sort_x=Vec::with_capacity(n);
 		let mut sort_y=Vec::with_capacity(n);
 		let mut sort_z=Vec::with_capacity(n);
 		for (i,(_,aabb)) in boxen.iter().enumerate(){
 			let center=aabb.center();
-			octant.insert(i,0);
+			sort_x.push((i,center.x));
-			sort_x.push((i,center.x()));
+			sort_y.push((i,center.y));
-			sort_y.push((i,center.y()));
+			sort_z.push((i,center.z));
-			sort_z.push((i,center.z()));
 		}
 		sort_x.sort_by(|tup0,tup1|tup0.1.cmp(&tup1.1));
 		sort_y.sort_by(|tup0,tup1|tup0.1.cmp(&tup1.1));
@@ -132,26 +137,34 @@ fn generate_bvh_node<T>(boxen:Vec<(T,Aabb)>,force:bool)->BvhNode<T>{
 		let median_x=sort_x[h].1;
 		let median_y=sort_y[h].1;
 		let median_z=sort_z[h].1;
-		for (i,c) in sort_x{
+		//locate a run of values equal to the median
-			if median_x<c{
+		//partition point gives the first index for which the predicate evaluates to false
-				octant.insert(i,octant[&i]+1<<0);
+		let first_index_eq_median_x=sort_x.partition_point(|&(_,x)|x<median_x);
-			}
+		let first_index_eq_median_y=sort_y.partition_point(|&(_,y)|y<median_y);
+		let first_index_eq_median_z=sort_z.partition_point(|&(_,z)|z<median_z);
+		let first_index_gt_median_x=sort_x.partition_point(|&(_,x)|x<=median_x);
+		let first_index_gt_median_y=sort_y.partition_point(|&(_,y)|y<=median_y);
+		let first_index_gt_median_z=sort_z.partition_point(|&(_,z)|z<=median_z);
+		//pick which side median value copies go into such that both sides are as balanced as possible based on distance from n/2
+		let partition_point_x=if n.abs_diff(2*first_index_eq_median_x)<n.abs_diff(2*first_index_gt_median_x){first_index_eq_median_x}else{first_index_gt_median_x};
+		let partition_point_y=if n.abs_diff(2*first_index_eq_median_y)<n.abs_diff(2*first_index_gt_median_y){first_index_eq_median_y}else{first_index_gt_median_y};
+		let partition_point_z=if n.abs_diff(2*first_index_eq_median_z)<n.abs_diff(2*first_index_gt_median_z){first_index_eq_median_z}else{first_index_gt_median_z};
+		//this ids which octant the boxen is put in
+		let mut octant=vec![0;n];
+		for &(i,_) in &sort_x[partition_point_x..]{
+			octant[i]+=1<<0;
 		}
-		for (i,c) in sort_y{
+		for &(i,_) in &sort_y[partition_point_y..]{
-			if median_y<c{
+			octant[i]+=1<<1;
-				octant.insert(i,octant[&i]+1<<1);
-			}
 		}
-		for (i,c) in sort_z{
+		for &(i,_) in &sort_z[partition_point_z..]{
-			if median_z<c{
+			octant[i]+=1<<2;
-				octant.insert(i,octant[&i]+1<<2);
-			}
 		}
 		//generate lists for unique octant values
 		let mut list_list=Vec::with_capacity(8);
 		let mut octant_list=Vec::with_capacity(8);
 		for (i,(data,aabb)) in boxen.into_iter().enumerate(){
-			let octant_id=octant[&i];
+			let octant_id=octant[i];
 			let list_id=if let Some(list_id)=octant_list.iter().position(|&id|id==octant_id){
 				list_id
 			}else{

src/gameplay_attributes.rs

@@ -31,6 +31,23 @@ pub enum Booster{
 	//Affine(crate::integer::Planar64Affine3),//capable of SetVelocity,DotVelocity,normal booster,bouncy part,redirect velocity, and much more
 	Velocity(Planar64Vec3),//straight up boost velocity adds to your current velocity
 	Energy{direction:Planar64Vec3,energy:Planar64},//increase energy in direction
+	AirTime(Time),//increase airtime, invariant across mass and gravity changes
+	Height(Planar64),//increase height, invariant across mass and gravity changes
+}
+impl Booster{
+	pub fn boost(&self,velocity:Planar64Vec3)->Planar64Vec3{
+		match self{
+			&Booster::Velocity(boost_velocity)=>velocity+boost_velocity,
+			&Booster::Energy{..}=>{
+				todo!()
+				//let d=direction.dot(velocity);
+				//TODO: think about negative
+				//velocity+direction.with_length((d*d+energy).sqrt()-d)
+			},
+			Booster::AirTime(_)=>todo!(),
+			Booster::Height(_)=>todo!(),
+		}
+	}
 }
 #[derive(Clone,Hash,Eq,PartialEq)]
 pub enum TrajectoryChoice{
@@ -134,23 +151,24 @@ impl IntersectingAttributes{
 }
 #[derive(Clone,Copy,id::Id,Hash,Eq,PartialEq)]
 pub struct CollisionAttributesId(u32);
+#[derive(Clone,Default,Hash,Eq,PartialEq)]
+pub struct ContactAttributes{
+	pub contacting:ContactingAttributes,
+	pub general:GeneralAttributes,
+}
+#[derive(Clone,Default,Hash,Eq,PartialEq)]
+pub struct IntersectAttributes{
+	pub intersecting:IntersectingAttributes,
+	pub general:GeneralAttributes,
+}
 #[derive(Clone,Hash,Eq,PartialEq)]
 pub enum CollisionAttributes{
 	Decoration,//visual only
-	Contact{//track whether you are contacting the object
+	Contact(ContactAttributes),//track whether you are contacting the object
-		contacting:ContactingAttributes,
+	Intersect(IntersectAttributes),//track whether you are intersecting the object
-		general:GeneralAttributes,
-	},
-	Intersect{//track whether you are intersecting the object
-		intersecting:IntersectingAttributes,
-		general:GeneralAttributes,
-	},
 }
 impl CollisionAttributes{
 	pub fn contact_default()->Self{
-		Self::Contact{
+		Self::Contact(ContactAttributes::default())
-			contacting:ContactingAttributes::default(),
-			general:GeneralAttributes::default()
-		}
 	}
 }

src/gameplay_style.rs

@@ -1,6 +1,6 @@
 const VALVE_SCALE:Planar64=Planar64::raw(1<<28);// 1/16
 
-use crate::integer::{Time,Ratio64,Planar64,Planar64Vec3};
+use crate::integer::{int,vec3::int as int3,Time,Ratio64,Planar64,Planar64Vec3};
 use crate::controls_bitflag::Controls;
 
 #[derive(Clone,Debug)]
@@ -41,33 +41,140 @@ impl std::default::Default for StyleModifiers{
 
 #[derive(Clone,Debug)]
 pub enum JumpCalculation{
-	Capped,//roblox
+	Max,//Roblox: jumped_speed=max(velocity.boost(),velocity.jump())
-	Energy,//new
+	BoostThenJump,//jumped_speed=velocity.boost().jump()
-	Linear,//source
+	JumpThenBoost,//jumped_speed=velocity.jump().boost()
 }
 
 #[derive(Clone,Debug)]
 pub enum JumpImpulse{
-	FromTime(Time),//jump time is invariant across mass and gravity changes
+	Time(Time),//jump time is invariant across mass and gravity changes
-	FromHeight(Planar64),//jump height is invariant across mass and gravity changes
+	Height(Planar64),//jump height is invariant across mass and gravity changes
-	FromDeltaV(Planar64),//jump velocity is invariant across mass and gravity changes
+	Linear(Planar64),//jump velocity is invariant across mass and gravity changes
-	FromEnergy(Planar64),// :)
+	Energy(Planar64),// :)
 }
 //Jumping acts on dot(walks_state.normal,body.velocity)
-//Capped means it increases the dot to the cap
 //Energy means it adds energy
 //Linear means it linearly adds on
 impl JumpImpulse{
-	//fn get_jump_time(&self)->Planar64
+	pub fn jump(
-	//fn get_jump_height(&self)->Planar64
+		&self,
-	//fn get_jump_energy(&self)->Planar64
+		velocity:Planar64Vec3,
+		jump_dir:Planar64Vec3,
+		gravity:&Planar64Vec3,
+		mass:Planar64,
+	)->Planar64Vec3{
+		match self{
+			&JumpImpulse::Time(time)=>velocity-(*gravity*time).map(|t|t.divide().fix_1()),
+			&JumpImpulse::Height(height)=>{
+				//height==-v.y*v.y/(2*g.y);
+				//use energy to determine max height
+				let gg=gravity.length_squared();
+				let g=gg.sqrt().fix_1();
+				let v_g=gravity.dot(velocity);
+				//do it backwards
+				let radicand=v_g*v_g+(g*height*2).fix_4();
+				velocity-(*gravity*(radicand.sqrt().fix_2()+v_g)/gg).divide().fix_1()
+			},
+			&JumpImpulse::Linear(jump_speed)=>velocity+(jump_dir*jump_speed/jump_dir.length()).divide().fix_1(),
+			&JumpImpulse::Energy(energy)=>{
+				//calculate energy
+				//let e=gravity.dot(velocity);
+				//add
+				//you get the idea
+				todo!()
+			},
+		}
+	}
+	//TODO: remove this and implement JumpCalculation properly
 	pub fn get_jump_deltav(&self,gravity:&Planar64Vec3,mass:Planar64)->Planar64{
 		//gravity.length() is actually the proper calculation because the jump is always opposite the gravity direction
 		match self{
-			&JumpImpulse::FromTime(time)=>gravity.length()*(time/2),
+			&JumpImpulse::Time(time)=>(gravity.length().fix_1()*time/2).divide().fix_1(),
-			&JumpImpulse::FromHeight(height)=>(gravity.length()*height*2).sqrt(),
+			&JumpImpulse::Height(height)=>(gravity.length()*height*2).sqrt().fix_1(),
-			&JumpImpulse::FromDeltaV(deltav)=>deltav,
+			&JumpImpulse::Linear(deltav)=>deltav,
-			&JumpImpulse::FromEnergy(energy)=>(energy*2/mass).sqrt(),
+			&JumpImpulse::Energy(energy)=>(energy.sqrt()*2/mass.sqrt()).divide().fix_1(),
+		}
+	}
+}
+
+#[derive(Clone,Debug)]
+pub struct JumpSettings{
+	//information used to calculate jump power
+	pub impulse:JumpImpulse,
+	//information used to calculate jump behaviour
+	pub calculation:JumpCalculation,
+	//limit the minimum jump power when combined with downwards momentum
+	//This is true in both roblox and source
+	pub limit_minimum:bool,
+}
+impl JumpSettings{
+	pub fn jumped_velocity(
+		&self,
+		style:&StyleModifiers,
+		jump_dir:Planar64Vec3,
+		rel_velocity:Planar64Vec3,
+		booster:Option<&crate::gameplay_attributes::Booster>,
+	)->Planar64Vec3{
+		let jump_speed=self.impulse.get_jump_deltav(&style.gravity,style.mass);
+		match (self.limit_minimum,&self.calculation){
+			(true,JumpCalculation::Max)=>{
+				//the roblox calculation
+				let boost_vel=match booster{
+					Some(booster)=>booster.boost(rel_velocity),
+					None=>rel_velocity,
+				};
+				let j=boost_vel.dot(jump_dir);
+				let js=jump_speed.fix_2();
+				if j<js{
+					//weak booster: just do a regular jump
+					boost_vel+jump_dir.with_length(js-j).divide().fix_1()
+				}else{
+					//activate booster normally, jump does nothing
+					boost_vel
+				}
+			},
+			(true,_)=>{
+				//the source calculation (?)
+				let boost_vel=match booster{
+					Some(booster)=>booster.boost(rel_velocity),
+					None=>rel_velocity,
+				};
+				let j=boost_vel.dot(jump_dir);
+				let js=jump_speed.fix_2();
+				if j<js{
+					//speed in direction of jump cannot be lower than amount
+					boost_vel+jump_dir.with_length(js-j).divide().fix_1()
+				}else{
+					//boost and jump add together
+					boost_vel+jump_dir.with_length(js).divide().fix_1()
+				}
+			}
+			(false,JumpCalculation::Max)=>{
+				//??? calculation
+				//max(boost_vel,jump_vel)
+				let boost_vel=match booster{
+					Some(booster)=>booster.boost(rel_velocity),
+					None=>rel_velocity,
+				};
+				let boost_dot=boost_vel.dot(jump_dir);
+				let js=jump_speed.fix_2();
+				if boost_dot<js{
+					//weak boost is extended to jump speed
+					boost_vel+jump_dir.with_length(js-boost_dot).divide().fix_1()
+				}else{
+					//activate booster normally, jump does nothing
+					boost_vel
+				}
+			},
+			//the strafe client calculation
+			(false,_)=>{
+				let boost_vel=match booster{
+					Some(booster)=>booster.boost(rel_velocity),
+					None=>rel_velocity,
+				};
+				boost_vel+jump_dir.with_length(jump_speed).divide().fix_1()
+			},
 		}
 	}
 }
@@ -75,34 +182,14 @@ impl JumpImpulse{
 #[derive(Clone,Debug)]
 pub struct ControlsActivation{
 	//allowed keys
-	controls_mask:Controls,
+	pub controls_mask:Controls,
 	//allow strafing only if any of the masked controls are held, eg W|S for shsw
-	controls_intersects:Controls,
+	pub controls_intersects:Controls,
 	//allow strafing only if all of the masked controls are held, eg W for hsw, w-only
-	controls_contains:Controls,
+	pub controls_contains:Controls,
 	//Function(Box<dyn Fn(u32)->bool>),
 }
 impl ControlsActivation{
-	pub const fn new(
-		controls_mask:Controls,
-		controls_intersects:Controls,
-		controls_contains:Controls,
-	)->Self{
-		Self{
-			controls_mask,
-			controls_intersects,
-			controls_contains,
-		}
-	}
-	pub const fn controls_mask(&self)->Controls{
-		self.controls_mask
-	}
-	pub const fn controls_intersects(&self)->Controls{
-		self.controls_intersects
-	}
-	pub const fn controls_contains(&self)->Controls{
-		self.controls_contains
-	}
 	pub const fn mask(&self,controls:Controls)->Controls{
 		controls.intersection(self.controls_mask)
 	}
@@ -171,27 +258,17 @@ impl ControlsActivation{
 
 #[derive(Clone,Debug)]
 pub struct StrafeSettings{
-	enable:ControlsActivation,
+	pub enable:ControlsActivation,
-	mv:Planar64,
+	pub mv:Planar64,
-	air_accel_limit:Option<Planar64>,
+	pub air_accel_limit:Option<Planar64>,
-	tick_rate:Ratio64,
+	pub tick_rate:Ratio64,
 }
 impl StrafeSettings{
-	pub const fn new(
-		enable:ControlsActivation,
-		mv:Planar64,
-		air_accel_limit:Option<Planar64>,
-		tick_rate:Ratio64,
-	)->Self{
-		Self{enable,mv,air_accel_limit,tick_rate}
-	}
-	pub fn into_inner(self)->(ControlsActivation,Planar64,Option<Planar64>,Ratio64){
-		(self.enable,self.mv,self.air_accel_limit,self.tick_rate)
-	}
 	pub fn tick_velocity(&self,velocity:Planar64Vec3,control_dir:Planar64Vec3)->Option<Planar64Vec3>{
 		let d=velocity.dot(control_dir);
-		match d<self.mv{
+		let mv=self.mv.fix_2();
-			true=>Some(velocity+control_dir*self.air_accel_limit.map_or(self.mv-d,|limit|limit.min(self.mv-d))),
+		match d<mv{
+			true=>Some(velocity+(control_dir*self.air_accel_limit.map_or(mv-d,|limit|limit.fix_2().min(mv-d))).fix_1()),
 			false=>None,
 		}
 	}
@@ -208,173 +285,109 @@ impl StrafeSettings{
 
 #[derive(Clone,Debug)]
 pub struct PropulsionSettings{
-	magnitude:Planar64,
+	pub magnitude:Planar64,
 }
 impl PropulsionSettings{
-	pub const fn new(magnitude:Planar64)->Self{
-		Self{magnitude}
-	}
-	pub fn magnitude(&self)->Planar64{
-		self.magnitude
-	}
 	pub fn acceleration(&self,control_dir:Planar64Vec3)->Planar64Vec3{
-		control_dir*self.magnitude
+		(control_dir*self.magnitude).fix_1()
-	}
-}
-
-#[derive(Clone,Debug)]
-pub struct JumpSettings{
-	//information used to calculate jump power
-	impulse:JumpImpulse,
-	//information used to calculate jump behaviour
-	calculation:JumpCalculation,
-}
-impl JumpSettings{
-	pub const fn new(
-		impulse:JumpImpulse,
-		calculation:JumpCalculation,
-	)->Self{
-		Self{impulse,calculation}
-	}
-	pub fn into_inner(self)->(JumpImpulse,JumpCalculation){
-		(self.impulse,self.calculation)
-	}
-	pub fn jumped_velocity(&self,style:&StyleModifiers,jump_dir:Planar64Vec3,velocity:Planar64Vec3)->Planar64Vec3{
-		match self.calculation{
-			//roblox style
-			JumpCalculation::Capped=>todo!(),
-			//something different
-			JumpCalculation::Energy=>todo!(),
-			//source style
-			JumpCalculation::Linear=>velocity+jump_dir*(self.impulse.get_jump_deltav(&style.gravity,style.mass)/jump_dir.length()),
-		}
 	}
 }
 
 #[derive(Clone,Debug)]
 pub struct AccelerateSettings{
-	accel:Planar64,
+	pub accel:Planar64,
-	topspeed:Planar64,
+	pub topspeed:Planar64,
-}
-impl AccelerateSettings{
-	pub const fn new(
-		accel:Planar64,
-		topspeed:Planar64,
-	)->Self{
-		Self{accel,topspeed}
-	}
-	pub const fn accel(&self)->Planar64{
-		self.accel
-	}
-	pub const fn topspeed(&self)->Planar64{
-		self.topspeed
-	}
 }
 #[derive(Clone,Debug)]
 pub struct WalkSettings{
-	accelerate:AccelerateSettings,
+	pub accelerate:AccelerateSettings,
-	static_friction:Planar64,
+	pub static_friction:Planar64,
-	kinetic_friction:Planar64,
+	pub kinetic_friction:Planar64,
 	//if a surf slope angle does not exist, then everything is slippery and walking is impossible
-	surf_dot:Planar64,//surf_dot<n.dot(up)/n.length()
+	pub surf_dot:Planar64,//surf_dot<n.dot(up)/n.length()
 }
 impl WalkSettings{
-	pub const fn new(
-		accelerate:AccelerateSettings,
-		static_friction:Planar64,
-		kinetic_friction:Planar64,
-		surf_dot:Planar64,
-	)->Self{
-		Self{accelerate,static_friction,kinetic_friction,surf_dot}
-	}
-	pub fn into_inner(self)->(AccelerateSettings,Planar64,Planar64,Planar64){
-		(self.accelerate,self.static_friction,self.kinetic_friction,self.surf_dot)
-	}
 	pub fn accel(&self,target_diff:Planar64Vec3,gravity:Planar64Vec3)->Planar64{
 		//TODO: fallible walk accel
-		let diff_len=target_diff.length();
+		let diff_len=target_diff.length().fix_1();
 		let friction=if diff_len<self.accelerate.topspeed{
 			self.static_friction
 		}else{
 			self.kinetic_friction
 		};
-		self.accelerate.accel.min(-Planar64Vec3::Y.dot(gravity)*friction)
+		self.accelerate.accel.min((-gravity.y*friction).fix_1())
 	}
 	pub fn get_walk_target_velocity(&self,control_dir:Planar64Vec3,normal:Planar64Vec3)->Planar64Vec3{
-		if control_dir==Planar64Vec3::ZERO{
+		if control_dir==crate::integer::vec3::ZERO{
 			return control_dir;
 		}
-		let n=normal.length();
+		let nn=normal.length_squared();
-		let m=control_dir.length();
+		let mm=control_dir.length_squared();
-		let d=normal.dot(control_dir)/m;
+		let nnmm=nn*mm;
-		if d<n{
+		let d=normal.dot(control_dir);
+		let dd=d*d;
+		if dd<nnmm{
 			let cr=normal.cross(control_dir);
-			if cr==Planar64Vec3::ZERO{
+			if cr==crate::integer::vec3::ZERO_2{
-				Planar64Vec3::ZERO
+				crate::integer::vec3::ZERO
 			}else{
-				cr.cross(normal)*(self.accelerate.topspeed/(n*(n*n-d*d).sqrt()*m))
+				(cr.cross(normal)*self.accelerate.topspeed/((nn*(nnmm-dd)).sqrt())).divide().fix_1()
 			}
 		}else{
-			Planar64Vec3::ZERO
+			crate::integer::vec3::ZERO
 		}
 	}
 	pub fn is_slope_walkable(&self,normal:Planar64Vec3,up:Planar64Vec3)->bool{
 		//normal is not guaranteed to be unit length
 		let ny=normal.dot(up);
-		let h=normal.length();
+		let h=normal.length().fix_1();
 		//remember this is a normal vector
-		Planar64::ZERO<ny&&h*self.surf_dot<ny
+		ny.is_positive()&&h*self.surf_dot<ny
 	}
 }
 
 #[derive(Clone,Debug)]
 pub struct LadderSettings{
-	accelerate:AccelerateSettings,
+	pub accelerate:AccelerateSettings,
 	//how close to pushing directly into/out of the ladder normal
 	//does your input need to be to redirect straight up/down the ladder
-	dot:Planar64,
+	pub dot:Planar64,
 }
 impl LadderSettings{
-	pub const fn new(
-		accelerate:AccelerateSettings,
-		dot:Planar64,
-	)->Self{
-		Self{accelerate,dot}
-	}
-	pub fn into_inner(self)->(AccelerateSettings,Planar64){
-		(self.accelerate,self.dot)
-	}
 	pub const fn accel(&self,target_diff:Planar64Vec3,gravity:Planar64Vec3)->Planar64{
 		//TODO: fallible ladder accel
 		self.accelerate.accel
 	}
 	pub fn get_ladder_target_velocity(&self,mut control_dir:Planar64Vec3,normal:Planar64Vec3)->Planar64Vec3{
-		if control_dir==Planar64Vec3::ZERO{
+		if control_dir==crate::integer::vec3::ZERO{
 			return control_dir;
 		}
-		let n=normal.length();
+		let nn=normal.length_squared();
-		let m=control_dir.length();
+		let mm=control_dir.length_squared();
-		let mut d=normal.dot(control_dir)/m;
+		let nnmm=nn*mm;
-		if d< -self.dot*n{
+		let d=normal.dot(control_dir);
-			control_dir=Planar64Vec3::Y*m;
+		let mut dd=d*d;
-			d=normal.y();
+		if (self.dot*self.dot*nnmm).fix_4()<dd{
-		}else if self.dot*n<d{
+			if d.is_negative(){
-			control_dir=Planar64Vec3::NEG_Y*m;
+				control_dir=Planar64Vec3::new([Planar64::ZERO,mm.fix_1(),Planar64::ZERO]);
-			d=-normal.y();
+			}else{
+				control_dir=Planar64Vec3::new([Planar64::ZERO,-mm.fix_1(),Planar64::ZERO]);
+			}
+			dd=(normal.y*normal.y).fix_4();
 		}
 		//n=d if you are standing on top of a ladder and press E.
 		//two fixes:
 		//- ladder movement is not allowed on walkable surfaces
 		//- fix the underlying issue
-		if d.get().unsigned_abs()<n.get().unsigned_abs(){
+		if dd<nnmm{
 			let cr=normal.cross(control_dir);
-			if cr==Planar64Vec3::ZERO{
+			if cr==crate::integer::vec3::ZERO_2{
-				Planar64Vec3::ZERO
+				crate::integer::vec3::ZERO
 			}else{
-				cr.cross(normal)*(self.accelerate.topspeed/(n*(n*n-d*d).sqrt()))
+				(cr.cross(normal)*self.accelerate.topspeed/((nn*(nnmm-dd)).sqrt())).divide().fix_1()
 			}
 		}else{
-			Planar64Vec3::ZERO
+			crate::integer::vec3::ZERO
 		}
 	}
 }
@@ -397,22 +410,22 @@ pub struct Hitbox{
 impl Hitbox{
 	pub fn roblox()->Self{
 		Self{
-			halfsize:Planar64Vec3::int(2,5,2)/2,
+			halfsize:int3(2,5,2)>>1,
 			mesh:HitboxMesh::Cylinder,
 		}
 	}
 	pub fn source()->Self{
 		Self{
-			halfsize:Planar64Vec3::int(33,73,33)/2*VALVE_SCALE,
+			halfsize:((int3(33,73,33)>>1)*VALVE_SCALE).fix_1(),
 			mesh:HitboxMesh::Box,
 		}
 	}
 }
 
 impl StyleModifiers{
-	pub const RIGHT_DIR:Planar64Vec3=Planar64Vec3::X;
+	pub const RIGHT_DIR:Planar64Vec3=crate::integer::vec3::X;
-	pub const UP_DIR:Planar64Vec3=Planar64Vec3::Y;
+	pub const UP_DIR:Planar64Vec3=crate::integer::vec3::Y;
-	pub const FORWARD_DIR:Planar64Vec3=Planar64Vec3::NEG_Z;
+	pub const FORWARD_DIR:Planar64Vec3=crate::integer::vec3::NEG_Z;
 
 	pub fn neo()->Self{
 		Self{
@@ -421,37 +434,38 @@ impl StyleModifiers{
 			strafe:Some(StrafeSettings{
 				enable:ControlsActivation::full_2d(),
 				air_accel_limit:None,
-				mv:Planar64::int(3),
+				mv:int(3),
 				tick_rate:Ratio64::new(64,Time::ONE_SECOND.nanos() as u64).unwrap(),
 			}),
 			jump:Some(JumpSettings{
-				impulse:JumpImpulse::FromEnergy(Planar64::int(512)),
+				impulse:JumpImpulse::Energy(int(512)),
-				calculation:JumpCalculation::Energy,
+				calculation:JumpCalculation::JumpThenBoost,
+				limit_minimum:false,
 			}),
-			gravity:Planar64Vec3::int(0,-80,0),
+			gravity:int3(0,-80,0),
-			mass:Planar64::int(1),
+			mass:int(1),
 			rocket:None,
 			walk:Some(WalkSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(16),
+					topspeed:int(16),
-					accel:Planar64::int(80),
+					accel:int(80),
 				},
-				static_friction:Planar64::int(2),
+				static_friction:int(2),
-				kinetic_friction:Planar64::int(3),//unrealistic: kinetic friction is typically lower than static
+				kinetic_friction:int(3),//unrealistic: kinetic friction is typically lower than static
-				surf_dot:Planar64::int(3)/4,
+				surf_dot:int(3)/4,
 			}),
 			ladder:Some(LadderSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(16),
+					topspeed:int(16),
-					accel:Planar64::int(160),
+					accel:int(160),
 				},
-				dot:(Planar64::int(1)/2).sqrt(),
+				dot:(int(1)/2).sqrt(),
 			}),
 			swim:Some(PropulsionSettings{
-				magnitude:Planar64::int(12),
+				magnitude:int(12),
 			}),
 			hitbox:Hitbox::roblox(),
-			camera_offset:Planar64Vec3::int(0,2,0),//4.5-2.5=2
+			camera_offset:int3(0,2,0),//4.5-2.5=2
 		}
 	}
 
@@ -462,42 +476,43 @@ impl StyleModifiers{
 			strafe:Some(StrafeSettings{
 				enable:ControlsActivation::full_2d(),
 				air_accel_limit:None,
-				mv:Planar64::int(27)/10,
+				mv:int(27)/10,
 				tick_rate:Ratio64::new(100,Time::ONE_SECOND.nanos() as u64).unwrap(),
 			}),
 			jump:Some(JumpSettings{
-				impulse:JumpImpulse::FromTime(Time::from_micros(715_588)),
+				impulse:JumpImpulse::Time(Time::from_micros(715_588)),
-				calculation:JumpCalculation::Linear,//Should be capped
+				calculation:JumpCalculation::Max,
+				limit_minimum:true,
 			}),
-			gravity:Planar64Vec3::int(0,-100,0),
+			gravity:int3(0,-100,0),
-			mass:Planar64::int(1),
+			mass:int(1),
 			rocket:None,
 			walk:Some(WalkSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),
+					topspeed:int(18),
-					accel:Planar64::int(90),
+					accel:int(90),
 				},
-				static_friction:Planar64::int(2),
+				static_friction:int(2),
-				kinetic_friction:Planar64::int(3),//unrealistic: kinetic friction is typically lower than static
+				kinetic_friction:int(3),//unrealistic: kinetic friction is typically lower than static
-				surf_dot:Planar64::int(3)/4,// normal.y=0.75
+				surf_dot:int(3)/4,// normal.y=0.75
 			}),
 			ladder:Some(LadderSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),
+					topspeed:int(18),
-					accel:Planar64::int(180),
+					accel:int(180),
 				},
-				dot:(Planar64::int(1)/2).sqrt(),
+				dot:(int(1)/2).sqrt(),
 			}),
 			swim:Some(PropulsionSettings{
-				magnitude:Planar64::int(12),
+				magnitude:int(12),
 			}),
 			hitbox:Hitbox::roblox(),
-			camera_offset:Planar64Vec3::int(0,2,0),//4.5-2.5=2
+			camera_offset:int3(0,2,0),//4.5-2.5=2
 		}
 	}
 	pub fn roblox_surf()->Self{
 		Self{
-			gravity:Planar64Vec3::int(0,-50,0),
+			gravity:int3(0,-50,0),
 			..Self::roblox_bhop()
 		}
 	}
@@ -505,7 +520,7 @@ impl StyleModifiers{
 		Self{
 			strafe:None,
 			rocket:Some(PropulsionSettings{
-				magnitude:Planar64::int(200),
+				magnitude:int(200),
 			}),
 			..Self::roblox_bhop()
 		}
@@ -518,37 +533,38 @@ impl StyleModifiers{
 			strafe:Some(StrafeSettings{
 				enable:ControlsActivation::full_2d(),
 				air_accel_limit:Some(Planar64::raw(150<<28)*100),
-				mv:Planar64::raw(30)*VALVE_SCALE,
+				mv:(Planar64::raw(30)*VALVE_SCALE).fix_1(),
 				tick_rate:Ratio64::new(100,Time::ONE_SECOND.nanos() as u64).unwrap(),
 			}),
 			jump:Some(JumpSettings{
-				impulse:JumpImpulse::FromHeight(Planar64::int(52)*VALVE_SCALE),
+				impulse:JumpImpulse::Height((int(52)*VALVE_SCALE).fix_1()),
-				calculation:JumpCalculation::Linear,
+				calculation:JumpCalculation::JumpThenBoost,
+				limit_minimum:true,
 			}),
-			gravity:Planar64Vec3::int(0,-800,0)*VALVE_SCALE,
+			gravity:(int3(0,-800,0)*VALVE_SCALE).fix_1(),
-			mass:Planar64::int(1),
+			mass:int(1),
 			rocket:None,
 			walk:Some(WalkSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),//?
+					topspeed:int(18),//?
-					accel:Planar64::int(90),//?
+					accel:int(90),//?
 				},
-				static_friction:Planar64::int(2),//?
+				static_friction:int(2),//?
-				kinetic_friction:Planar64::int(3),//?
+				kinetic_friction:int(3),//?
-				surf_dot:Planar64::int(3)/4,// normal.y=0.75
+				surf_dot:int(3)/4,// normal.y=0.75
 			}),
 			ladder:Some(LadderSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),//?
+					topspeed:int(18),//?
-					accel:Planar64::int(180),//?
+					accel:int(180),//?
 				},
-				dot:(Planar64::int(1)/2).sqrt(),//?
+				dot:(int(1)/2).sqrt(),//?
 			}),
 			swim:Some(PropulsionSettings{
-				magnitude:Planar64::int(12),//?
+				magnitude:int(12),//?
 			}),
 			hitbox:Hitbox::source(),
-			camera_offset:(Planar64Vec3::int(0,64,0)-Planar64Vec3::int(0,73,0)/2)*VALVE_SCALE,
+			camera_offset:((int3(0,64,0)-(int3(0,73,0)>>1))*VALVE_SCALE).fix_1(),
 		}
 	}
 	pub fn source_surf()->Self{
@@ -557,38 +573,39 @@ impl StyleModifiers{
 			controls_mask_state:Controls::all(),
 			strafe:Some(StrafeSettings{
 				enable:ControlsActivation::full_2d(),
-				air_accel_limit:Some(Planar64::int(150)*66*VALVE_SCALE),
+				air_accel_limit:Some((int(150)*66*VALVE_SCALE).fix_1()),
-				mv:Planar64::int(30)*VALVE_SCALE,
+				mv:(int(30)*VALVE_SCALE).fix_1(),
 				tick_rate:Ratio64::new(66,Time::ONE_SECOND.nanos() as u64).unwrap(),
 			}),
 			jump:Some(JumpSettings{
-				impulse:JumpImpulse::FromHeight(Planar64::int(52)*VALVE_SCALE),
+				impulse:JumpImpulse::Height((int(52)*VALVE_SCALE).fix_1()),
-				calculation:JumpCalculation::Linear,
+				calculation:JumpCalculation::JumpThenBoost,
+				limit_minimum:true,
 			}),
-			gravity:Planar64Vec3::int(0,-800,0)*VALVE_SCALE,
+			gravity:(int3(0,-800,0)*VALVE_SCALE).fix_1(),
-			mass:Planar64::int(1),
+			mass:int(1),
 			rocket:None,
 			walk:Some(WalkSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),//?
+					topspeed:int(18),//?
-					accel:Planar64::int(90),//?
+					accel:int(90),//?
 				},
-				static_friction:Planar64::int(2),//?
+				static_friction:int(2),//?
-				kinetic_friction:Planar64::int(3),//?
+				kinetic_friction:int(3),//?
-				surf_dot:Planar64::int(3)/4,// normal.y=0.75
+				surf_dot:int(3)/4,// normal.y=0.75
 			}),
 			ladder:Some(LadderSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),//?
+					topspeed:int(18),//?
-					accel:Planar64::int(180),//?
+					accel:int(180),//?
 				},
-				dot:(Planar64::int(1)/2).sqrt(),//?
+				dot:(int(1)/2).sqrt(),//?
 			}),
 			swim:Some(PropulsionSettings{
-				magnitude:Planar64::int(12),//?
+				magnitude:int(12),//?
 			}),
 			hitbox:Hitbox::source(),
-			camera_offset:(Planar64Vec3::int(0,64,0)-Planar64Vec3::int(0,73,0)/2)*VALVE_SCALE,
+			camera_offset:((int3(0,64,0)-(int3(0,73,0)>>1))*VALVE_SCALE).fix_1(),
 		}
 	}
 }

src/instruction.rs

@@ -19,14 +19,14 @@ pub struct InstructionCollector<I>{
 	instruction:Option<I>,
 }
 impl<I> InstructionCollector<I>{
-	pub fn new(time:Time)->Self{
+	pub const fn new(time:Time)->Self{
 		Self{
 			time,
 			instruction:None
 		}
 	}
 	#[inline]
-	pub fn time(&self)->Time{
+	pub const fn time(&self)->Time{
 		self.time
 	}
 	pub fn collect(&mut self,instruction:Option<TimedInstruction<I>>){

src/integer.rs

@@ -1,3 +1,6 @@
+pub use fixed_wide::fixed::{Fixed,Fix};
+pub use ratio_ops::ratio::{Ratio,Divide};
+
 //integer units
 #[derive(Clone,Copy,Hash,Eq,PartialEq,PartialOrd,Debug)]
 pub struct Time(i64);
@@ -38,11 +41,26 @@ impl Time{
 	pub const fn nanos(self)->i64{
 		self.0
 	}
+	#[inline]
+	pub const fn to_ratio(self)->Ratio<Planar64,Planar64>{
+		Ratio::new(Planar64::raw(self.0),Planar64::raw(1_000_000_000))
+	}
 }
 impl From<Planar64> for Time{
 	#[inline]
 	fn from(value:Planar64)->Self{
-		Time((((value.0 as i128)*1_000_000_000)>>32) as i64)
+		Time((value*Planar64::raw(1_000_000_000)).fix_1().to_raw())
+	}
+}
+impl<Num,Den,N1,T1> From<Ratio<Num,Den>> for Time
+	where
+		Num:core::ops::Mul<Planar64,Output=N1>,
+		N1:Divide<Den,Output=T1>,
+		T1:Fix<Planar64>,
+{
+	#[inline]
+	fn from(value:Ratio<Num,Den>)->Self{
+		Time((value*Planar64::raw(1_000_000_000)).divide().fix().to_raw())
 	}
 }
 impl std::fmt::Display for Time{
@@ -63,34 +81,81 @@ impl std::ops::Neg for Time{
 		Time(-self.0)
 	}
 }
-impl std::ops::Add<Time> for Time{
+macro_rules! impl_time_additive_operator {
-	type Output=Time;
+	($trait:ty, $method:ident) => {
-	#[inline]
+		impl $trait for Time{
-	fn add(self,rhs:Self)->Self::Output {
+			type Output=Time;
-		Time(self.0+rhs.0)
+			#[inline]
-	}
+			fn $method(self,rhs:Self)->Self::Output {
+				Time(self.0.$method(rhs.0))
+			}
+		}
+	};
 }
-impl std::ops::Sub<Time> for Time{
+impl_time_additive_operator!(core::ops::Add,add);
-	type Output=Time;
+impl_time_additive_operator!(core::ops::Sub,sub);
-	#[inline]
+impl_time_additive_operator!(core::ops::Rem,rem);
-	fn sub(self,rhs:Self)->Self::Output {
+macro_rules! impl_time_additive_assign_operator {
-		Time(self.0-rhs.0)
+	($trait:ty, $method:ident) => {
-	}
+		impl $trait for Time{
+			#[inline]
+			fn $method(&mut self,rhs:Self){
+				self.0.$method(rhs.0)
+			}
+		}
+	};
 }
-impl std::ops::Mul<Time> for Time{
+impl_time_additive_assign_operator!(core::ops::AddAssign,add_assign);
-	type Output=Time;
+impl_time_additive_assign_operator!(core::ops::SubAssign,sub_assign);
+impl_time_additive_assign_operator!(core::ops::RemAssign,rem_assign);
+impl std::ops::Mul for Time{
+	type Output=Ratio<fixed_wide::fixed::Fixed<2,64>,fixed_wide::fixed::Fixed<2,64>>;
 	#[inline]
-	fn mul(self,rhs:Time)->Self::Output{
+	fn mul(self,rhs:Self)->Self::Output{
-		Self((((self.0 as i128)*(rhs.0 as i128))/1_000_000_000) as i64)
+		Ratio::new(Fixed::raw(self.0)*Fixed::raw(rhs.0),Fixed::raw_digit(1_000_000_000i64.pow(2)))
 	}
 }
 impl std::ops::Div<i64> for Time{
 	type Output=Time;
 	#[inline]
-	fn div(self,rhs:i64)->Self::Output {
+	fn div(self,rhs:i64)->Self::Output{
 		Time(self.0/rhs)
 	}
 }
+impl std::ops::Mul<i64> for Time{
+	type Output=Time;
+	#[inline]
+	fn mul(self,rhs:i64)->Self::Output{
+		Time(self.0*rhs)
+	}
+}
+impl core::ops::Mul<Time> for Planar64{
+	type Output=Ratio<Fixed<2,64>,Planar64>;
+	fn mul(self,rhs:Time)->Self::Output{
+		Ratio::new(self*Fixed::raw(rhs.0),Planar64::raw(1_000_000_000))
+	}
+}
+#[test]
+fn time_from_planar64(){
+	let a:Time=Planar64::from(1).into();
+	assert_eq!(a,Time::ONE_SECOND);
+}
+#[test]
+fn time_from_ratio(){
+	let a:Time=Ratio::new(Planar64::from(1),Planar64::from(1)).into();
+	assert_eq!(a,Time::ONE_SECOND);
+}
+#[test]
+fn time_squared(){
+	let a=Time::from_secs(2);
+	assert_eq!(a*a,Ratio::new(Fixed::<2,64>::raw_digit(1_000_000_000i64.pow(2))*4,Fixed::<2,64>::raw_digit(1_000_000_000i64.pow(2))));
+}
+#[test]
+fn time_times_planar64(){
+	let a=Time::from_secs(2);
+	let b=Planar64::from(2);
+	assert_eq!(b*a,Ratio::new(Fixed::<2,64>::raw_digit(1_000_000_000*(1<<32))<<2,Fixed::<1,32>::raw_digit(1_000_000_000)));
+}
 
 #[inline]
 const fn gcd(mut a:u64,mut b:u64)->u64{
@@ -309,6 +374,7 @@ impl std::ops::Mul<i64> for Ratio64Vec2{
 #[derive(Clone,Copy,Hash)]
 pub struct Angle32(i32);
 impl Angle32{
+	const ANGLE32_TO_FLOAT64_RADIANS:f64=std::f64::consts::PI/((1i64<<31) as f64);
 	pub const FRAC_PI_2:Self=Self(1<<30);
 	pub const NEG_FRAC_PI_2:Self=Self(-1<<30);
 	pub const PI:Self=Self(-1<<31);
@@ -347,24 +413,36 @@ impl Angle32{
 			.wrapping_add(midpoint)
 		)
 	}
-	/*
 	#[inline]
-	pub fn cos(&self)->Unit32{
+	pub fn cos_sin(&self)->(Planar64,Planar64){
-		//TODO: fix this rounding towards 0
+		/*
-		Unit32(unsafe{((self.0 as f64*ANGLE32_TO_FLOAT64_RADIANS).cos()*UNIT32_ONE_FLOAT64).to_int_unchecked()})
+		//cordic
+		let a=self.0 as u32;
+		//initialize based on the quadrant
+		let (mut x,mut y)=match (a&(1<<31)!=0,a&(1<<30)!=0){
+			(false,false)=>( 1i64<<32, 0i64    ),//TR
+			(false,true )=>( 0i64    , 1i64<<32),//TL
+			(true ,false)=>(-1i64<<32, 0i64    ),//BL
+			(true ,true )=>( 0i64    ,-1i64<<32),//BR
+		};
+		println!("x={} y={}",Planar64::raw(x),Planar64::raw(y));
+		for i in 0..30{
+			if a&(1<<(29-i))!=0{
+				(x,y)=(x-(y>>i),y+(x>>i));
+			}
+			println!("i={i} t={} x={} y={}",(a&(1<<(29-i))!=0) as u8,Planar64::raw(x),Planar64::raw(y));
+		}
+		//don't forget the gain
+		(Planar64::raw(x),Planar64::raw(y))
+		*/
+		let (s,c)=(self.0 as f64*Self::ANGLE32_TO_FLOAT64_RADIANS).sin_cos();
+		(Planar64::raw((c*((1u64<<32) as f64)) as i64),Planar64::raw((s*((1u64<<32) as f64)) as i64))
 	}
-	#[inline]
-	pub fn sin(&self)->Unit32{
-		//TODO: fix this rounding towards 0
-		Unit32(unsafe{((self.0 as f64*ANGLE32_TO_FLOAT64_RADIANS).sin()*UNIT32_ONE_FLOAT64).to_int_unchecked()})
-	}
-	*/
 }
-const ANGLE32_TO_FLOAT64_RADIANS:f64=std::f64::consts::PI/((1i64<<31) as f64);
 impl Into<f32> for Angle32{
 	#[inline]
 	fn into(self)->f32{
-		(self.0 as f64*ANGLE32_TO_FLOAT64_RADIANS) as f32
+		(self.0 as f64*Self::ANGLE32_TO_FLOAT64_RADIANS) as f32
 	}
 }
 impl std::ops::Neg for Angle32{
@@ -402,6 +480,26 @@ impl std::ops::Mul<Angle32> for Angle32{
 		Angle32(self.0.wrapping_mul(rhs.0))
 	}
 }
+#[test]
+fn angle_sin_cos(){
+	fn close_enough(lhs:Planar64,rhs:Planar64)->bool{
+		(lhs-rhs).abs()<Planar64::EPSILON*4
+	}
+	fn test_angle(f:f64){
+		let a=Angle32((f/Angle32::ANGLE32_TO_FLOAT64_RADIANS) as i32);
+		println!("a={:#034b}",a.0);
+		let (c,s)=a.cos_sin();
+		let h=(s*s+c*c).sqrt();
+		println!("cordic s={} c={}",(s/h).divide(),(c/h).divide());
+		let (fs,fc)=f.sin_cos();
+		println!("float s={} c={}",fs,fc);
+		assert!(close_enough((c/h).divide().fix_1(),Planar64::raw((fc*((1u64<<32) as f64)) as i64)));
+		assert!(close_enough((s/h).divide().fix_1(),Planar64::raw((fs*((1u64<<32) as f64)) as i64)));
+	}
+	test_angle(1.0);
+	test_angle(std::f64::consts::PI/4.0);
+	test_angle(std::f64::consts::PI/8.0);
+}
 
 /* Unit type unused for now, may revive it for map files
 ///[-1.0,1.0] = [-2^30,2^30]
@@ -427,651 +525,140 @@ impl TryFrom<[f32;3]> for Unit32Vec3{
 }
 */
 
-///[-1.0,1.0] = [-2^32,2^32]
+pub type Planar64TryFromFloatError=fixed_wide::fixed::FixedFromFloatError;
-#[derive(Clone,Copy,Debug,Hash,Eq,Ord,PartialEq,PartialOrd)]
+pub type Planar64=fixed_wide::types::I32F32;
-pub struct Planar64(i64);
+pub type Planar64Vec3=linear_ops::types::Vector3<Planar64>;
-impl Planar64{
+pub type Planar64Mat3=linear_ops::types::Matrix3<Planar64>;
-	pub const ZERO:Self=Self(0);
+pub mod vec3{
-	pub const ONE:Self=Self(1<<32);
+	use super::*;
-	pub const MAX:Self=Self(i64::MAX);
+	pub use linear_ops::types::Vector3;
-	pub const MIN:Self=Self(i64::MIN);
+	pub const MIN:Planar64Vec3=Planar64Vec3::new([Planar64::MIN;3]);
+	pub const MAX:Planar64Vec3=Planar64Vec3::new([Planar64::MAX;3]);
+	pub const ZERO:Planar64Vec3=Planar64Vec3::new([Planar64::ZERO;3]);
+	pub const ZERO_2:linear_ops::types::Vector3<Fixed::<2,64>>=linear_ops::types::Vector3::new([Fixed::<2,64>::ZERO;3]);
+	pub const X:Planar64Vec3=Planar64Vec3::new([Planar64::ONE,Planar64::ZERO,Planar64::ZERO]);
+	pub const Y:Planar64Vec3=Planar64Vec3::new([Planar64::ZERO,Planar64::ONE,Planar64::ZERO]);
+	pub const Z:Planar64Vec3=Planar64Vec3::new([Planar64::ZERO,Planar64::ZERO,Planar64::ONE]);
+	pub const ONE:Planar64Vec3=Planar64Vec3::new([Planar64::ONE,Planar64::ONE,Planar64::ONE]);
+	pub const NEG_X:Planar64Vec3=Planar64Vec3::new([Planar64::NEG_ONE,Planar64::ZERO,Planar64::ZERO]);
+	pub const NEG_Y:Planar64Vec3=Planar64Vec3::new([Planar64::ZERO,Planar64::NEG_ONE,Planar64::ZERO]);
+	pub const NEG_Z:Planar64Vec3=Planar64Vec3::new([Planar64::ZERO,Planar64::ZERO,Planar64::NEG_ONE]);
+	pub const NEG_ONE:Planar64Vec3=Planar64Vec3::new([Planar64::NEG_ONE,Planar64::NEG_ONE,Planar64::NEG_ONE]);
 	#[inline]
-	pub const fn int(num:i32)->Self{
+	pub const fn int(x:i32,y:i32,z:i32)->Planar64Vec3{
-		Self(Self::ONE.0*num as i64)
+		Planar64Vec3::new([Planar64::raw((x as i64)<<32),Planar64::raw((y as i64)<<32),Planar64::raw((z as i64)<<32)])
 	}
 	#[inline]
-	pub const fn raw(num:i64)->Self{
+	pub fn raw_array(array:[i64;3])->Planar64Vec3{
-		Self(num)
+		Planar64Vec3::new(array.map(Planar64::raw))
 	}
 	#[inline]
-	pub const fn get(&self)->i64{
+	pub fn raw_xyz(x:i64,y:i64,z:i64)->Planar64Vec3{
-		self.0
+		Planar64Vec3::new([Planar64::raw(x),Planar64::raw(y),Planar64::raw(z)])
 	}
 	#[inline]
-	pub fn sqrt(&self)->Self{
+	pub fn try_from_f32_array([x,y,z]:[f32;3])->Result<Planar64Vec3,Planar64TryFromFloatError>{
-		Planar64(unsafe{(((self.0 as i128)<<32) as f64).sqrt().to_int_unchecked()})
+		Ok(Planar64Vec3::new([
-	}
+			try_from_f32(x)?,
-	#[inline]
+			try_from_f32(y)?,
-	pub const fn signum_i64(&self)->i64{
+			try_from_f32(z)?,
-		((self.0&(1<<63)!=0) as i64)*2-1
+		]))
-	}
-}
-const PLANAR64_ONE_FLOAT32:f32=(1u64<<32) as f32;
-const PLANAR64_CONVERT_TO_FLOAT32:f32=1.0/PLANAR64_ONE_FLOAT32;
-const PLANAR64_ONE_FLOAT64:f64=(1u64<<32) as f64;
-impl Into<f32> for Planar64{
-	#[inline]
-	fn into(self)->f32{
-		self.0 as f32*PLANAR64_CONVERT_TO_FLOAT32
-	}
-}
-impl From<Ratio64> for Planar64{
-	#[inline]
-	fn from(ratio:Ratio64)->Self{
-		Self((((ratio.num as i128)<<32)/(ratio.den as i128)) as i64)
-	}
-}
-#[derive(Debug)]
-pub enum Planar64TryFromFloatError{
-	Nan,
-	Infinite,
-	Subnormal,
-	HighlyNegativeExponent,
-	HighlyPositiveExponent,
-}
-impl TryFrom<f32> for Planar64{
-	type Error=Planar64TryFromFloatError;
-	#[inline]
-	fn try_from(value:f32)->Result<Self,Self::Error>{
-		match value.classify(){
-			std::num::FpCategory::Nan=>Err(Self::Error::Nan),
-			std::num::FpCategory::Infinite=>Err(Self::Error::Infinite),
-			std::num::FpCategory::Zero=>Ok(Self::ZERO),
-			std::num::FpCategory::Subnormal
-			|std::num::FpCategory::Normal=>{
-				let planar=value*PLANAR64_ONE_FLOAT32;
-				if planar<(i64::MIN as f32)||(i64::MAX as f32)<planar{
-					Err(Self::Error::HighlyPositiveExponent)
-				}else{
-					Ok(Planar64(unsafe{planar.to_int_unchecked()}))
-				}
-			}
-		}
-	}
-}
-impl TryFrom<f64> for Planar64{
-	type Error=Planar64TryFromFloatError;
-	#[inline]
-	fn try_from(value:f64)->Result<Self,Self::Error>{
-		match value.classify(){
-			std::num::FpCategory::Nan=>Err(Self::Error::Nan),
-			std::num::FpCategory::Infinite=>Err(Self::Error::Infinite),
-			std::num::FpCategory::Zero=>Ok(Self::ZERO),
-			std::num::FpCategory::Subnormal
-			|std::num::FpCategory::Normal=>{
-				let planar=value*PLANAR64_ONE_FLOAT64;
-				if planar<(i64::MIN as f64)||(i64::MAX as f64)<planar{
-					Err(Self::Error::HighlyPositiveExponent)
-				}else{
-					Ok(Planar64(unsafe{planar.to_int_unchecked()}))
-				}
-			}
-		}
-	}
-}
-impl std::fmt::Display for Planar64{
-	fn fmt(&self,f:&mut std::fmt::Formatter<'_>)->std::fmt::Result{
-		write!(f,"{:.3}",
-			Into::<f32>::into(*self),
-		)
-	}
-}
-impl std::ops::Neg for Planar64{
-	type Output=Planar64;
-	#[inline]
-	fn neg(self)->Self::Output{
-		Planar64(-self.0)
-	}
-}
-impl std::ops::Add<Planar64> for Planar64{
-	type Output=Planar64;
-	#[inline]
-	fn add(self, rhs: Self) -> Self::Output {
-		Planar64(self.0+rhs.0)
-	}
-}
-impl std::ops::AddAssign<Planar64> for Planar64{
-	#[inline]
-	fn add_assign(&mut self,rhs:Self){
-		*self=*self+rhs;
-	}
-}
-impl std::ops::Sub<Planar64> for Planar64{
-	type Output=Planar64;
-	#[inline]
-	fn sub(self, rhs: Self) -> Self::Output {
-		Planar64(self.0-rhs.0)
-	}
-}
-impl std::ops::Mul<i64> for Planar64{
-	type Output=Planar64;
-	#[inline]
-	fn mul(self, rhs: i64) -> Self::Output {
-		Planar64(self.0*rhs)
-	}
-}
-impl std::ops::Mul<Planar64> for Planar64{
-	type Output=Planar64;
-	#[inline]
-	fn mul(self, rhs: Self) -> Self::Output {
-		Planar64(((self.0 as i128*rhs.0 as i128)>>32) as i64)
-	}
-}
-impl std::ops::Mul<Time> for Planar64{
-	type Output=Planar64;
-	#[inline]
-	fn mul(self,rhs:Time)->Self::Output{
-		Planar64(((self.0 as i128*rhs.0 as i128)/1_000_000_000) as i64)
-	}
-}
-impl std::ops::Div<i64> for Planar64{
-	type Output=Planar64;
-	#[inline]
-	fn div(self, rhs: i64) -> Self::Output {
-		Planar64(self.0/rhs)
-	}
-}
-impl std::ops::Div<Planar64> for Planar64{
-	type Output=Planar64;
-	#[inline]
-	fn div(self, rhs: Planar64) -> Self::Output {
-		Planar64((((self.0 as i128)<<32)/(rhs.0 as i128)) as i64)
-	}
-}
-// impl PartialOrd<i64> for Planar64{
-// 	fn partial_cmp(&self, other: &i64) -> Option<std::cmp::Ordering> {
-// 		self.0.partial_cmp(other)
-// 	}
-// }
-
-
-///[-1.0,1.0] = [-2^32,2^32]
-#[derive(Clone,Copy,Debug,Default,Hash,Eq,PartialEq)]
-pub struct Planar64Vec3(glam::I64Vec3);
-impl Planar64Vec3{
-	pub const ZERO:Self=Planar64Vec3(glam::I64Vec3::ZERO);
-	pub const ONE:Self=Self::int(1,1,1);
-	pub const X:Self=Self::int(1,0,0);
-	pub const Y:Self=Self::int(0,1,0);
-	pub const Z:Self=Self::int(0,0,1);
-	pub const NEG_X:Self=Self::int(-1,0,0);
-	pub const NEG_Y:Self=Self::int(0,-1,0);
-	pub const NEG_Z:Self=Self::int(0,0,-1);
-	pub const MIN:Self=Planar64Vec3(glam::I64Vec3::MIN);
-	pub const MAX:Self=Planar64Vec3(glam::I64Vec3::MAX);
-	#[inline]
-	pub const fn new(x:Planar64,y:Planar64,z:Planar64)->Self{
-		Self(glam::i64vec3(x.0,y.0,z.0))
-	}
-	#[inline]
-	pub const fn get(self)->glam::I64Vec3{
-		self.0
-	}
-	#[inline]
-	pub const fn int(x:i32,y:i32,z:i32)->Self{
-		Self(glam::i64vec3((x as i64)<<32,(y as i64)<<32,(z as i64)<<32))
-	}
-	#[inline]
-	pub const fn raw_xyz(x:i64,y:i64,z:i64)->Self{
-		Self(glam::i64vec3(x,y,z))
-	}
-	#[inline]
-	pub const fn raw_array(xyz:[i64;3])->Self{
-		Self(glam::I64Vec3::from_array(xyz))
-	}
-	#[inline]
-	pub const fn raw(xyz:glam::I64Vec3)->Self{
-		Self(xyz)
-	}
-	#[inline]
-	pub const fn x(&self)->Planar64{
-		Planar64(self.0.x)
-	}
-	#[inline]
-	pub const fn y(&self)->Planar64{
-		Planar64(self.0.y)
-	}
-	#[inline]
-	pub const fn z(&self)->Planar64{
-		Planar64(self.0.z)
-	}
-	#[inline]
-	pub fn min(&self,rhs:Self)->Self{
-		Self(glam::i64vec3(
-			self.0.x.min(rhs.0.x),
-			self.0.y.min(rhs.0.y),
-			self.0.z.min(rhs.0.z),
-		))
-	}
-	#[inline]
-	pub fn max(&self,rhs:Self)->Self{
-		Self(glam::i64vec3(
-			self.0.x.max(rhs.0.x),
-			self.0.y.max(rhs.0.y),
-			self.0.z.max(rhs.0.z),
-		))
-	}
-	#[inline]
-	pub fn midpoint(&self,rhs:Self)->Self{
-		Self((self.0+rhs.0)/2)
-	}
-	#[inline]
-	pub fn cmplt(&self,rhs:Self)->glam::BVec3{
-		self.0.cmplt(rhs.0)
-	}
-	#[inline]
-	pub const fn dot(&self,rhs:Self)->Planar64{
-		Planar64(((
-			(self.0.x as i128)*(rhs.0.x as i128)+
-			(self.0.y as i128)*(rhs.0.y as i128)+
-			(self.0.z as i128)*(rhs.0.z as i128)
-		)>>32) as i64)
-	}
-	#[inline]
-	pub const fn dot128(&self,rhs:Self)->i128{
-		(self.0.x as i128)*(rhs.0.x as i128)+
-		(self.0.y as i128)*(rhs.0.y as i128)+
-		(self.0.z as i128)*(rhs.0.z as i128)
-	}
-	#[inline]
-	pub const fn cross(&self,rhs:Self)->Planar64Vec3{
-		Planar64Vec3(glam::i64vec3(
-			(((self.0.y as i128)*(rhs.0.z as i128)-(self.0.z as i128)*(rhs.0.y as i128))>>32) as i64,
-			(((self.0.z as i128)*(rhs.0.x as i128)-(self.0.x as i128)*(rhs.0.z as i128))>>32) as i64,
-			(((self.0.x as i128)*(rhs.0.y as i128)-(self.0.y as i128)*(rhs.0.x as i128))>>32) as i64,
-		))
-	}
-	#[inline]
-	pub fn length(&self)->Planar64{
-		let radicand=(self.0.x as i128)*(self.0.x as i128)+(self.0.y as i128)*(self.0.y as i128)+(self.0.z as i128)*(self.0.z as i128);
-		Planar64(unsafe{(radicand as f64).sqrt().to_int_unchecked()})
-	}
-	#[inline]
-	pub fn with_length(&self,length:Planar64)->Self{
-		let radicand=(self.0.x as i128)*(self.0.x as i128)+(self.0.y as i128)*(self.0.y as i128)+(self.0.z as i128)*(self.0.z as i128);
-		let self_length:i128=unsafe{(radicand as f64).sqrt().to_int_unchecked()};
-		//self.0*length/self_length
-		Planar64Vec3(
-			glam::i64vec3(
-				((self.0.x as i128)*(length.0 as i128)/self_length) as i64,
-				((self.0.y as i128)*(length.0 as i128)/self_length) as i64,
-				((self.0.z as i128)*(length.0 as i128)/self_length) as i64,
-			)
-		)
-	}
-}
-impl Into<glam::Vec3> for Planar64Vec3{
-	#[inline]
-	fn into(self)->glam::Vec3{
-		glam::vec3(
-			self.0.x as f32,
-			self.0.y as f32,
-			self.0.z as f32,
-		)*PLANAR64_CONVERT_TO_FLOAT32
-	}
-}
-impl TryFrom<[f32;3]> for Planar64Vec3{
-	type Error=Planar64TryFromFloatError;
-	#[inline]
-	fn try_from(value:[f32;3])->Result<Self,Self::Error>{
-		Ok(Self(glam::i64vec3(
-			Planar64::try_from(value[0])?.0,
-			Planar64::try_from(value[1])?.0,
-			Planar64::try_from(value[2])?.0,
-		)))
-	}
-}
-impl TryFrom<glam::Vec3A> for Planar64Vec3{
-	type Error=Planar64TryFromFloatError;
-	#[inline]
-	fn try_from(value:glam::Vec3A)->Result<Self,Self::Error>{
-		Ok(Self(glam::i64vec3(
-			Planar64::try_from(value.x)?.0,
-			Planar64::try_from(value.y)?.0,
-			Planar64::try_from(value.z)?.0,
-		)))
-	}
-}
-impl std::fmt::Display for Planar64Vec3{
-	fn fmt(&self,f:&mut std::fmt::Formatter<'_>)->std::fmt::Result{
-		write!(f,"{:.3},{:.3},{:.3}",
-			Into::<f32>::into(self.x()),Into::<f32>::into(self.y()),Into::<f32>::into(self.z()),
-		)
-	}
-}
-impl std::ops::Neg for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn neg(self)->Self::Output{
-		Planar64Vec3(-self.0)
-	}
-}
-impl std::ops::Add<Planar64Vec3> for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn add(self,rhs:Planar64Vec3) -> Self::Output {
-		Planar64Vec3(self.0+rhs.0)
-	}
-}
-impl std::ops::AddAssign<Planar64Vec3> for Planar64Vec3{
-	#[inline]
-	fn add_assign(&mut self,rhs:Planar64Vec3){
-		*self=*self+rhs
-	}
-}
-impl std::ops::Sub<Planar64Vec3> for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn sub(self,rhs:Planar64Vec3) -> Self::Output {
-		Planar64Vec3(self.0-rhs.0)
-	}
-}
-impl std::ops::SubAssign<Planar64Vec3> for Planar64Vec3{
-	#[inline]
-	fn sub_assign(&mut self,rhs:Planar64Vec3){
-		*self=*self-rhs
-	}
-}
-impl std::ops::Mul<Planar64Vec3> for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn mul(self, rhs: Planar64Vec3) -> Self::Output {
-		Planar64Vec3(glam::i64vec3(
-			(((self.0.x as i128)*(rhs.0.x as i128))>>32) as i64,
-			(((self.0.y as i128)*(rhs.0.y as i128))>>32) as i64,
-			(((self.0.z as i128)*(rhs.0.z as i128))>>32) as i64
-		))
-	}
-}
-impl std::ops::Mul<Planar64> for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn mul(self, rhs: Planar64) -> Self::Output {
-		Planar64Vec3(glam::i64vec3(
-			(((self.0.x as i128)*(rhs.0 as i128))>>32) as i64,
-			(((self.0.y as i128)*(rhs.0 as i128))>>32) as i64,
-			(((self.0.z as i128)*(rhs.0 as i128))>>32) as i64
-		))
-	}
-}
-impl std::ops::Mul<i64> for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn mul(self,rhs:i64)->Self::Output {
-		Planar64Vec3(glam::i64vec3(
-			self.0.x*rhs,
-			self.0.y*rhs,
-			self.0.z*rhs
-		))
-	}
-}
-impl std::ops::Mul<Time> for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn mul(self,rhs:Time)->Self::Output{
-		Planar64Vec3(glam::i64vec3(
-			(((self.0.x as i128)*(rhs.0 as i128))/1_000_000_000) as i64,
-			(((self.0.y as i128)*(rhs.0 as i128))/1_000_000_000) as i64,
-			(((self.0.z as i128)*(rhs.0 as i128))/1_000_000_000) as i64
-		))
-	}
-}
-impl std::ops::Div<Planar64> for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn div(self,rhs:Planar64)->Self::Output{
-		Planar64Vec3(glam::i64vec3(
-			(((self.0.x as i128)<<32)/(rhs.0 as i128)) as i64,
-			(((self.0.y as i128)<<32)/(rhs.0 as i128)) as i64,
-			(((self.0.z as i128)<<32)/(rhs.0 as i128)) as i64,
-		))
-	}
-}
-impl std::ops::Div<i64> for Planar64Vec3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn div(self,rhs:i64)->Self::Output{
-		Planar64Vec3(glam::i64vec3(
-			self.0.x/rhs,
-			self.0.y/rhs,
-			self.0.z/rhs,
-		))
 	}
 }
 
-///[-1.0,1.0] = [-2^32,2^32]
+#[inline]
-#[derive(Clone,Copy,Hash,Eq,PartialEq)]
+pub fn int(value:i32)->Planar64{
-pub struct Planar64Mat3{
+	Planar64::from(value)
-	pub x_axis:Planar64Vec3,
-	pub y_axis:Planar64Vec3,
-	pub z_axis:Planar64Vec3,
 }
-impl Default for Planar64Mat3{
+#[inline]
-	#[inline]
+pub fn try_from_f32(value:f32)->Result<Planar64,Planar64TryFromFloatError>{
-	fn default() -> Self {
+	let result:Result<Planar64,_>=value.try_into();
-		Self{
+	match result{
-			x_axis:Planar64Vec3::X,
+		Ok(ok)=>Ok(ok),
-			y_axis:Planar64Vec3::Y,
+		Err(e)=>e.underflow_to_zero(),
-			z_axis:Planar64Vec3::Z,
-		}
 	}
 }
-impl Planar64Mat3{
+pub mod mat3{
+	use super::*;
+	pub use linear_ops::types::Matrix3;
 	#[inline]
-	pub const fn from_cols(x_axis:Planar64Vec3,y_axis:Planar64Vec3,z_axis:Planar64Vec3)->Self{
+	pub const fn identity()->Planar64Mat3{
-		Self{
+		Planar64Mat3::new([
-			x_axis,
+			[Planar64::ONE,Planar64::ZERO,Planar64::ZERO],
-			y_axis,
+			[Planar64::ZERO,Planar64::ONE,Planar64::ZERO],
-			z_axis,
+			[Planar64::ZERO,Planar64::ZERO,Planar64::ONE],
-		}
+		])
-	}
-	pub const fn int_from_cols_array(array:[i32;9])->Self{
-		Self{
-			x_axis:Planar64Vec3::int(array[0],array[1],array[2]),
-			y_axis:Planar64Vec3::int(array[3],array[4],array[5]),
-			z_axis:Planar64Vec3::int(array[6],array[7],array[8]),
-		}
 	}
 	#[inline]
-	pub const fn from_diagonal(diagonal:Planar64Vec3)->Self{
+	pub fn from_diagonal(diag:Planar64Vec3)->Planar64Mat3{
-		Self{
+		Planar64Mat3::new([
-			x_axis:Planar64Vec3::raw_xyz(diagonal.0.x,0,0),
+			[diag.x,Planar64::ZERO,Planar64::ZERO],
-			y_axis:Planar64Vec3::raw_xyz(0,diagonal.0.y,0),
+			[Planar64::ZERO,diag.y,Planar64::ZERO],
-			z_axis:Planar64Vec3::raw_xyz(0,0,diagonal.0.z),
+			[Planar64::ZERO,Planar64::ZERO,diag.z],
-		}
+		])
 	}
 	#[inline]
-	pub fn from_rotation_yx(yaw:Angle32,pitch:Angle32)->Self{
+	pub fn from_rotation_yx(x:Angle32,y:Angle32)->Planar64Mat3{
-		let xtheta=yaw.0 as f64*ANGLE32_TO_FLOAT64_RADIANS;
+		let (xc,xs)=x.cos_sin();
-		let (xs,xc)=xtheta.sin_cos();
+		let (yc,ys)=y.cos_sin();
-		let (xc,xs)=(xc*PLANAR64_ONE_FLOAT64,xs*PLANAR64_ONE_FLOAT64);
+		Planar64Mat3::from_cols([
-		let ytheta=pitch.0 as f64*ANGLE32_TO_FLOAT64_RADIANS;
+			Planar64Vec3::new([xc,Planar64::ZERO,-xs]),
-		let (ys,yc)=ytheta.sin_cos();
+			Planar64Vec3::new([(xs*ys).fix_1(),yc,(xc*ys).fix_1()]),
-		let (yc,ys)=(yc*PLANAR64_ONE_FLOAT64,ys*PLANAR64_ONE_FLOAT64);
+			Planar64Vec3::new([(xs*yc).fix_1(),-ys,(xc*yc).fix_1()]),
-		//TODO: fix this rounding towards 0
+		])
-		let (xc,xs):(i64,i64)=(unsafe{xc.to_int_unchecked()},unsafe{xs.to_int_unchecked()});
-		let (yc,ys):(i64,i64)=(unsafe{yc.to_int_unchecked()},unsafe{ys.to_int_unchecked()});
-		Self::from_cols(
-			Planar64Vec3(glam::i64vec3(xc,0,-xs)),
-			Planar64Vec3(glam::i64vec3(((xs as i128*ys as i128)>>32) as i64,yc,((xc as i128*ys as i128)>>32) as i64)),
-			Planar64Vec3(glam::i64vec3(((xs as i128*yc as i128)>>32) as i64,-ys,((xc as i128*yc as i128)>>32) as i64)),
-		)
 	}
 	#[inline]
-	pub fn from_rotation_y(angle:Angle32)->Self{
+	pub fn from_rotation_y(y:Angle32)->Planar64Mat3{
-		let theta=angle.0 as f64*ANGLE32_TO_FLOAT64_RADIANS;
+		let (c,s)=y.cos_sin();
-		let (s,c)=theta.sin_cos();
+		Planar64Mat3::from_cols([
-		let (c,s)=(c*PLANAR64_ONE_FLOAT64,s*PLANAR64_ONE_FLOAT64);
+			Planar64Vec3::new([c,Planar64::ZERO,-s]),
-		//TODO: fix this rounding towards 0
+			vec3::Y,
-		let (c,s):(i64,i64)=(unsafe{c.to_int_unchecked()},unsafe{s.to_int_unchecked()});
+			Planar64Vec3::new([s,Planar64::ZERO,c]),
-		Self::from_cols(
+		])
-			Planar64Vec3(glam::i64vec3(c,0,-s)),
-			Planar64Vec3::Y,
-			Planar64Vec3(glam::i64vec3(s,0,c)),
-		)
 	}
 	#[inline]
-	pub const fn inverse(&self)->Self{
+	pub fn try_from_f32_array_2d([x_axis,y_axis,z_axis]:[[f32;3];3])->Result<Planar64Mat3,Planar64TryFromFloatError>{
-		let det=(
+		Ok(Planar64Mat3::new([
-			-self.x_axis.0.z as i128*self.y_axis.0.y as i128*self.z_axis.0.x as i128
+			vec3::try_from_f32_array(x_axis)?.to_array(),
-			+self.x_axis.0.y as i128*self.y_axis.0.z as i128*self.z_axis.0.x as i128
+			vec3::try_from_f32_array(y_axis)?.to_array(),
-			+self.x_axis.0.z as i128*self.y_axis.0.x as i128*self.z_axis.0.y as i128
+			vec3::try_from_f32_array(z_axis)?.to_array(),
-			-self.x_axis.0.x as i128*self.y_axis.0.z as i128*self.z_axis.0.y as i128
+		]))
-			-self.x_axis.0.y as i128*self.y_axis.0.x as i128*self.z_axis.0.z as i128
-			+self.x_axis.0.x as i128*self.y_axis.0.y as i128*self.z_axis.0.z as i128
-			)>>32;
-		Self{
-			x_axis:Planar64Vec3::raw_xyz((((-(self.y_axis.0.z as i128*self.z_axis.0.y as i128)+self.y_axis.0.y as i128*self.z_axis.0.z as i128)<<32)/det) as i64,(((self.x_axis.0.z as i128*self.z_axis.0.y as i128-self.x_axis.0.y as i128*self.z_axis.0.z as i128)<<32)/det) as i64,(((-(self.x_axis.0.z as i128*self.y_axis.0.y as i128)+self.x_axis.0.y as i128*self.y_axis.0.z as i128)<<32)/det) as i64),
-			y_axis:Planar64Vec3::raw_xyz((((self.y_axis.0.z as i128*self.z_axis.0.x as i128-self.y_axis.0.x as i128*self.z_axis.0.z as i128)<<32)/det) as i64,(((-(self.x_axis.0.z as i128*self.z_axis.0.x as i128)+self.x_axis.0.x as i128*self.z_axis.0.z as i128)<<32)/det) as i64,(((self.x_axis.0.z as i128*self.y_axis.0.x as i128-self.x_axis.0.x as i128*self.y_axis.0.z as i128)<<32)/det) as i64),
-			z_axis:Planar64Vec3::raw_xyz((((-(self.y_axis.0.y as i128*self.z_axis.0.x as i128)+self.y_axis.0.x as i128*self.z_axis.0.y as i128)<<32)/det) as i64,(((self.x_axis.0.y as i128*self.z_axis.0.x as i128-self.x_axis.0.x as i128*self.z_axis.0.y as i128)<<32)/det) as i64,(((-(self.x_axis.0.y as i128*self.y_axis.0.x as i128)+self.x_axis.0.x as i128*self.y_axis.0.y as i128)<<32)/det) as i64),
-		}
-	}
-	#[inline]
-	pub const fn inverse_times_det(&self)->Self{
-		Self{
-			x_axis:Planar64Vec3::raw_xyz(((-(self.y_axis.0.z as i128*self.z_axis.0.y as i128)+self.y_axis.0.y as i128*self.z_axis.0.z as i128)>>32) as i64,((self.x_axis.0.z as i128*self.z_axis.0.y as i128-self.x_axis.0.y as i128*self.z_axis.0.z as i128)>>32) as i64,((-(self.x_axis.0.z as i128*self.y_axis.0.y as i128)+self.x_axis.0.y as i128*self.y_axis.0.z as i128)>>32) as i64),
-			y_axis:Planar64Vec3::raw_xyz(((self.y_axis.0.z as i128*self.z_axis.0.x as i128-self.y_axis.0.x as i128*self.z_axis.0.z as i128)>>32) as i64,((-(self.x_axis.0.z as i128*self.z_axis.0.x as i128)+self.x_axis.0.x as i128*self.z_axis.0.z as i128)>>32) as i64,((self.x_axis.0.z as i128*self.y_axis.0.x as i128-self.x_axis.0.x as i128*self.y_axis.0.z as i128)>>32) as i64),
-			z_axis:Planar64Vec3::raw_xyz(((-(self.y_axis.0.y as i128*self.z_axis.0.x as i128)+self.y_axis.0.x as i128*self.z_axis.0.y as i128)>>32) as i64,((self.x_axis.0.y as i128*self.z_axis.0.x as i128-self.x_axis.0.x as i128*self.z_axis.0.y as i128)>>32) as i64,((-(self.x_axis.0.y as i128*self.y_axis.0.x as i128)+self.x_axis.0.x as i128*self.y_axis.0.y as i128)>>32) as i64),
-		}
-	}
-	#[inline]
-	pub const fn transpose(&self)->Self{
-		Self{
-			x_axis:Planar64Vec3::raw_xyz(self.x_axis.0.x,self.y_axis.0.x,self.z_axis.0.x),
-			y_axis:Planar64Vec3::raw_xyz(self.x_axis.0.y,self.y_axis.0.y,self.z_axis.0.y),
-			z_axis:Planar64Vec3::raw_xyz(self.x_axis.0.z,self.y_axis.0.z,self.z_axis.0.z),
-		}
-	}
-	#[inline]
-	pub const fn determinant(&self)->Planar64{
-		Planar64(((
-			-self.x_axis.0.z as i128*self.y_axis.0.y as i128*self.z_axis.0.x as i128
-			+self.x_axis.0.y as i128*self.y_axis.0.z as i128*self.z_axis.0.x as i128
-			+self.x_axis.0.z as i128*self.y_axis.0.x as i128*self.z_axis.0.y as i128
-			-self.x_axis.0.x as i128*self.y_axis.0.z as i128*self.z_axis.0.y as i128
-			-self.x_axis.0.y as i128*self.y_axis.0.x as i128*self.z_axis.0.z as i128
-			+self.x_axis.0.x as i128*self.y_axis.0.y as i128*self.z_axis.0.z as i128
-		)>>64) as i64)
-	}
-}
-impl Into<glam::Mat3> for Planar64Mat3{
-	#[inline]
-	fn into(self)->glam::Mat3{
-		glam::Mat3::from_cols(
-			self.x_axis.into(),
-			self.y_axis.into(),
-			self.z_axis.into(),
-		)
-	}
-}
-impl TryFrom<glam::Mat3A> for Planar64Mat3{
-	type Error=Planar64TryFromFloatError;
-	#[inline]
-	fn try_from(value:glam::Mat3A)->Result<Self,Self::Error>{
-		Ok(Self{
-			x_axis:Planar64Vec3::try_from(value.x_axis)?,
-			y_axis:Planar64Vec3::try_from(value.y_axis)?,
-			z_axis:Planar64Vec3::try_from(value.z_axis)?,
-		})
-	}
-}
-impl std::fmt::Display for Planar64Mat3{
-	fn fmt(&self,f:&mut std::fmt::Formatter<'_>)->std::fmt::Result{
-		write!(f,"\n{:.3},{:.3},{:.3}\n{:.3},{:.3},{:.3}\n{:.3},{:.3},{:.3}",
-			Into::<f32>::into(self.x_axis.x()),Into::<f32>::into(self.x_axis.y()),Into::<f32>::into(self.x_axis.z()),
-			Into::<f32>::into(self.y_axis.x()),Into::<f32>::into(self.y_axis.y()),Into::<f32>::into(self.y_axis.z()),
-			Into::<f32>::into(self.z_axis.x()),Into::<f32>::into(self.z_axis.y()),Into::<f32>::into(self.z_axis.z()),
-		)
-	}
-}
-impl std::ops::Mul<Planar64Vec3> for Planar64Mat3{
-	type Output=Planar64Vec3;
-	#[inline]
-	fn mul(self,rhs:Planar64Vec3) -> Self::Output {
-		self.x_axis*rhs.x()
-		+self.y_axis*rhs.y()
-		+self.z_axis*rhs.z()
-	}
-}
-impl std::ops::Div<i64> for Planar64Mat3{
-	type Output=Planar64Mat3;
-	#[inline]
-	fn div(self,rhs:i64)->Self::Output{
-		Planar64Mat3{
-			x_axis:self.x_axis/rhs,
-			y_axis:self.y_axis/rhs,
-			z_axis:self.z_axis/rhs,
-		}
 	}
 }
 
-///[-1.0,1.0] = [-2^32,2^32]
 #[derive(Clone,Copy,Default,Hash,Eq,PartialEq)]
 pub struct Planar64Affine3{
 	pub matrix3:Planar64Mat3,//includes scale above 1
 	pub translation:Planar64Vec3,
 }
-
 impl Planar64Affine3{
 	#[inline]
-	pub fn new(matrix3:Planar64Mat3,translation:Planar64Vec3)->Self{
+	pub const fn new(matrix3:Planar64Mat3,translation:Planar64Vec3)->Self{
 		Self{matrix3,translation}
 	}
 	#[inline]
-	pub fn transform_point3(&self,point:Planar64Vec3) -> Planar64Vec3{
+	pub fn transform_point3(&self,point:Planar64Vec3)->vec3::Vector3<Fixed<2,64>>{
-		Planar64Vec3(
+		self.translation.fix_2()+self.matrix3*point
-			self.translation.0
-			+(self.matrix3.x_axis*point.x()).0
-			+(self.matrix3.y_axis*point.y()).0
-			+(self.matrix3.z_axis*point.z()).0
-		)
 	}
 }
 impl Into<glam::Mat4> for Planar64Affine3{
 	#[inline]
 	fn into(self)->glam::Mat4{
+		let matrix3=self.matrix3.to_array().map(|row|row.map(Into::<f32>::into));
+		let translation=self.translation.to_array().map(Into::<f32>::into);
 		glam::Mat4::from_cols_array(&[
-			self.matrix3.x_axis.0.x as f32,self.matrix3.x_axis.0.y as f32,self.matrix3.x_axis.0.z as f32,0.0,
+			matrix3[0][0],matrix3[0][1],matrix3[0][2],0.0,
-			self.matrix3.y_axis.0.x as f32,self.matrix3.y_axis.0.y as f32,self.matrix3.y_axis.0.z as f32,0.0,
+			matrix3[1][0],matrix3[1][1],matrix3[1][2],0.0,
-			self.matrix3.z_axis.0.x as f32,self.matrix3.z_axis.0.y as f32,self.matrix3.z_axis.0.z as f32,0.0,
+			matrix3[2][0],matrix3[2][1],matrix3[2][2],0.0,
-			self.translation.0.x as f32,self.translation.0.y as f32,self.translation.0.z as f32,PLANAR64_ONE_FLOAT32
+			translation[0],translation[1],translation[2],1.0
-		])*PLANAR64_CONVERT_TO_FLOAT32
+		])
-	}
-}
-impl TryFrom<glam::Affine3A> for Planar64Affine3{
-	type Error=Planar64TryFromFloatError;
-	fn try_from(value: glam::Affine3A)->Result<Self, Self::Error> {
-		Ok(Self{
-			matrix3:Planar64Mat3::try_from(value.matrix3)?,
-			translation:Planar64Vec3::try_from(value.translation)?
-		})
-	}
-}
-impl std::fmt::Display for Planar64Affine3{
-	fn fmt(&self,f:&mut std::fmt::Formatter<'_>)->std::fmt::Result{
-		write!(f,"translation: {:.3},{:.3},{:.3}\nmatrix3:\n{:.3},{:.3},{:.3}\n{:.3},{:.3},{:.3}\n{:.3},{:.3},{:.3}",
-			Into::<f32>::into(self.translation.x()),Into::<f32>::into(self.translation.y()),Into::<f32>::into(self.translation.z()),
-			Into::<f32>::into(self.matrix3.x_axis.x()),Into::<f32>::into(self.matrix3.x_axis.y()),Into::<f32>::into(self.matrix3.x_axis.z()),
-			Into::<f32>::into(self.matrix3.y_axis.x()),Into::<f32>::into(self.matrix3.y_axis.y()),Into::<f32>::into(self.matrix3.y_axis.z()),
-			Into::<f32>::into(self.matrix3.z_axis.x()),Into::<f32>::into(self.matrix3.z_axis.y()),Into::<f32>::into(self.matrix3.z_axis.z()),
-		)
 	}
 }
 
 #[test]
 fn test_sqrt(){
-	let r=Planar64::int(400);
+	let r=int(400);
-	assert_eq!(1717986918400,r.get());
+	assert_eq!(r,Planar64::raw(1717986918400));
 	let s=r.sqrt();
-	assert_eq!(85899345920,s.get());
+	assert_eq!(s,Planar64::raw(85899345920));
 }

src/lib.rs

@@ -1,9 +1,12 @@
 pub mod bvh;
 pub mod map;
+pub mod run;
 pub mod aabb;
 pub mod model;
-pub mod zeroes;
+pub mod mouse;
+pub mod timer;
 pub mod integer;
+pub mod physics;
 pub mod updatable;
 pub mod instruction;
 pub mod gameplay_attributes;

src/mouse.rs

@@ -0,0 +1,26 @@
+use crate::integer::Time;
+
+#[derive(Clone,Debug)]
+pub struct MouseState{
+	pub pos:glam::IVec2,
+	pub time:Time,
+}
+impl Default for MouseState{
+	fn default()->Self{
+		Self{
+			time:Time::ZERO,
+			pos:glam::IVec2::ZERO,
+		}
+	}
+}
+impl MouseState{
+	pub fn lerp(&self,target:&MouseState,time:Time)->glam::IVec2{
+		let m0=self.pos.as_i64vec2();
+		let m1=target.pos.as_i64vec2();
+		//these are deltas
+		let t1t=(target.time-time).nanos();
+		let tt0=(time-self.time).nanos();
+		let dt=(target.time-self.time).nanos();
+		((m0*t1t+m1*tt0)/dt).as_ivec2()
+	}
+}

src/physics.rs

@@ -0,0 +1,27 @@
+#[derive(Clone,Debug)]
+pub enum Instruction{
+	ReplaceMouse(crate::mouse::MouseState,crate::mouse::MouseState),
+	SetNextMouse(crate::mouse::MouseState),
+	SetMoveRight(bool),
+	SetMoveUp(bool),
+	SetMoveBack(bool),
+	SetMoveLeft(bool),
+	SetMoveDown(bool),
+	SetMoveForward(bool),
+	SetJump(bool),
+	SetZoom(bool),
+	/// Reset: fully replace the physics state.
+	/// This forgets all inputs and settings which need to be reapplied.
+	Reset,
+	/// Restart: Teleport to the start zone.
+	Restart,
+	/// Spawn: Teleport to a specific mode's spawn
+	/// Sets current mode & spawn
+	Spawn(crate::gameplay_modes::ModeId,crate::gameplay_modes::StageId),
+	Idle,
+		//Idle: there were no input events, but the simulation is safe to advance to this timestep
+		//for interpolation / networking / playback reasons, most playback heads will always want
+		//to be 1 instruction ahead to generate the next state for interpolation.
+	PracticeFly,
+	SetSensitivity(crate::integer::Ratio64Vec2),
+}

src/run.rs

@@ -0,0 +1,103 @@
+use crate::timer::{TimerFixed,Realtime,Paused,Unpaused};
+use crate::integer::Time;
+
+#[derive(Clone,Copy,Debug)]
+pub enum FlagReason{
+	Anticheat,
+	StyleChange,
+	Clock,
+	Pause,
+	Flying,
+	Gravity,
+	Timescale,
+	TimeTravel,
+	Teleport,
+}
+impl ToString for FlagReason{
+	fn to_string(&self)->String{
+		match self{
+			FlagReason::Anticheat=>"Passed through anticheat zone.",
+			FlagReason::StyleChange=>"Changed style.",
+			FlagReason::Clock=>"Incorrect clock.  (This can be caused by internet hiccups)",
+			FlagReason::Pause=>"Pausing is not allowed in this style.",
+			FlagReason::Flying=>"Flying is not allowed in this style.",
+			FlagReason::Gravity=>"Gravity modification is not allowed in this style.",
+			FlagReason::Timescale=>"Timescale is not allowed in this style.",
+			FlagReason::TimeTravel=>"Time travel is not allowed in this style.",
+			FlagReason::Teleport=>"Illegal teleport.",
+		}.to_owned()
+	}
+}
+
+#[derive(Debug)]
+pub enum Error{
+	NotStarted,
+	AlreadyStarted,
+	AlreadyFinished,
+}
+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{}
+
+#[derive(Clone,Copy,Debug)]
+enum RunState{
+	Created,
+	Started{timer:TimerFixed<Realtime,Unpaused>},
+	Finished{timer:TimerFixed<Realtime,Paused>},
+}
+
+#[derive(Clone,Copy,Debug)]
+pub struct Run{
+	state:RunState,
+	flagged:Option<FlagReason>,
+}
+
+impl Run{
+	pub fn new()->Self{
+		Self{
+			state:RunState::Created,
+			flagged:None,
+		}
+	}
+	pub fn time(&self,time:Time)->Time{
+		match &self.state{
+			RunState::Created=>Time::ZERO,
+			RunState::Started{timer}=>timer.time(time),
+			RunState::Finished{timer}=>timer.time(time),
+		}
+	}
+	pub fn start(&mut self,time:Time)->Result<(),Error>{
+		match &self.state{
+			RunState::Created=>{
+				self.state=RunState::Started{
+					timer:TimerFixed::new(time,Time::ZERO),
+				};
+				Ok(())
+			},
+			RunState::Started{..}=>Err(Error::AlreadyStarted),
+			RunState::Finished{..}=>Err(Error::AlreadyFinished),
+		}
+	}
+	pub fn finish(&mut self,time:Time)->Result<(),Error>{
+		//this uses Copy
+		match &self.state{
+			RunState::Created=>Err(Error::NotStarted),
+			RunState::Started{timer}=>{
+				self.state=RunState::Finished{
+					timer:timer.into_paused(time),
+				};
+				Ok(())
+			},
+			RunState::Finished{..}=>Err(Error::AlreadyFinished),
+		}
+	}
+	pub fn flag(&mut self,flag_reason:FlagReason){
+		//don't replace the first reason the run was flagged
+		if self.flagged.is_none(){
+			self.flagged=Some(flag_reason);
+		}
+	}
+}

src/timer.rs

@@ -0,0 +1,319 @@
+use crate::integer::{Time,Ratio64};
+
+#[derive(Clone,Copy,Debug)]
+pub struct Paused;
+#[derive(Clone,Copy,Debug)]
+pub struct Unpaused;
+
+pub trait PauseState:Copy+std::fmt::Debug{
+	const IS_PAUSED:bool;
+	fn new()->Self;
+}
+impl PauseState for Paused{
+	const IS_PAUSED:bool=true;
+	fn new()->Self{
+		Self
+	}
+}
+impl PauseState for Unpaused{
+	const IS_PAUSED:bool=false;
+	fn new()->Self{
+		Self
+	}
+}
+
+#[derive(Clone,Copy,Debug)]
+pub struct Realtime{
+	offset:Time,
+}
+impl Realtime{
+	pub const fn new(offset:Time)->Self{
+		Self{offset}
+	}
+}
+
+#[derive(Clone,Copy,Debug)]
+pub struct Scaled{
+	scale:Ratio64,
+	offset:Time,
+}
+impl Scaled{
+	pub const fn new(scale:Ratio64,offset:Time)->Self{
+		Self{scale,offset}
+	}
+	const fn with_scale(scale:Ratio64)->Self{
+		Self{scale,offset:Time::ZERO}
+	}
+	const fn scale(&self,time:Time)->Time{
+		Time::raw(self.scale.mul_int(time.get()))
+	}
+	const fn get_scale(&self)->Ratio64{
+		self.scale
+	}
+	fn set_scale(&mut self,time:Time,new_scale:Ratio64){
+		let new_time=self.get_time(time);
+		self.scale=new_scale;
+		self.set_time(time,new_time);
+	}
+}
+
+pub trait TimerState:Copy+std::fmt::Debug{
+	fn identity()->Self;
+	fn get_time(&self,time:Time)->Time;
+	fn set_time(&mut self,time:Time,new_time:Time);
+	fn get_offset(&self)->Time;
+	fn set_offset(&mut self,offset:Time);
+}
+impl TimerState for Realtime{
+	fn identity()->Self{
+		Self{offset:Time::ZERO}
+	}
+	fn get_time(&self,time:Time)->Time{
+		time+self.offset
+	}
+	fn set_time(&mut self,time:Time,new_time:Time){
+		self.offset=new_time-time;
+	}
+	fn get_offset(&self)->Time{
+		self.offset
+	}
+	fn set_offset(&mut self,offset:Time){
+		self.offset=offset;
+	}
+}
+impl TimerState for Scaled{
+	fn identity()->Self{
+		Self{scale:Ratio64::ONE,offset:Time::ZERO}
+	}
+	fn get_time(&self,time:Time)->Time{
+		self.scale(time)+self.offset
+	}
+	fn set_time(&mut self,time:Time,new_time:Time){
+		self.offset=new_time-self.scale(time);
+	}
+	fn get_offset(&self)->Time{
+		self.offset
+	}
+	fn set_offset(&mut self,offset:Time){
+		self.offset=offset;
+	}
+}
+
+#[derive(Clone,Copy,Debug)]
+pub struct TimerFixed<T:TimerState,P:PauseState>{
+	state:T,
+	_paused:P,
+}
+
+//scaled timer methods are generic across PauseState
+impl<P:PauseState> TimerFixed<Scaled,P>{
+	pub fn scaled(time:Time,new_time:Time,scale:Ratio64)->Self{
+		let mut timer=Self{
+			state:Scaled::with_scale(scale),
+			_paused:P::new(),
+		};
+		timer.set_time(time,new_time);
+		timer
+	}
+	pub const fn get_scale(&self)->Ratio64{
+		self.state.get_scale()
+	}
+	pub fn set_scale(&mut self,time:Time,new_scale:Ratio64){
+		self.state.set_scale(time,new_scale)
+	}
+}
+
+//pause and unpause is generic across TimerState
+impl<T:TimerState> TimerFixed<T,Paused>{
+	pub fn into_unpaused(self,time:Time)->TimerFixed<T,Unpaused>{
+		let new_time=self.time(time);
+		let mut timer=TimerFixed{
+			state:self.state,
+			_paused:Unpaused,
+		};
+		timer.set_time(time,new_time);
+		timer
+	}
+}
+impl<T:TimerState> TimerFixed<T,Unpaused>{
+	pub fn into_paused(self,time:Time)->TimerFixed<T,Paused>{
+		let new_time=self.time(time);
+		let mut timer=TimerFixed{
+			state:self.state,
+			_paused:Paused,
+		};
+		timer.set_time(time,new_time);
+		timer
+	}
+}
+
+//the new constructor and time queries are generic across both
+impl<T:TimerState,P:PauseState> TimerFixed<T,P>{
+	pub fn new(time:Time,new_time:Time)->Self{
+		let mut timer=Self{
+			state:T::identity(),
+			_paused:P::new(),
+		};
+		timer.set_time(time,new_time);
+		timer
+	}
+	pub fn from_state(state:T)->Self{
+		Self{
+			state,
+			_paused:P::new(),
+		}
+	}
+	pub fn into_state(self)->T{
+		self.state
+	}
+	pub fn time(&self,time:Time)->Time{
+		match P::IS_PAUSED{
+			true=>self.state.get_offset(),
+			false=>self.state.get_time(time),
+		}
+	}
+	pub fn set_time(&mut self,time:Time,new_time:Time){
+		match P::IS_PAUSED{
+			true=>self.state.set_offset(new_time),
+			false=>self.state.set_time(time,new_time),
+		}
+	}
+}
+
+#[derive(Debug)]
+pub enum Error{
+	AlreadyPaused,
+	AlreadyUnpaused,
+}
+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{}
+
+//wrapper type which holds type state internally
+#[derive(Clone,Debug)]
+pub enum Timer<T:TimerState>{
+	Paused(TimerFixed<T,Paused>),
+	Unpaused(TimerFixed<T,Unpaused>),
+}
+impl<T:TimerState> Timer<T>{
+	pub fn from_state(state:T,paused:bool)->Self{
+		match paused{
+			true=>Self::Paused(TimerFixed::from_state(state)),
+			false=>Self::Unpaused(TimerFixed::from_state(state)),
+		}
+	}
+	pub fn into_state(self)->(T,bool){
+		match self{
+			Self::Paused(timer)=>(timer.into_state(),true),
+			Self::Unpaused(timer)=>(timer.into_state(),false),
+		}
+	}
+	pub fn paused(time:Time,new_time:Time)->Self{
+		Self::Paused(TimerFixed::new(time,new_time))
+	}
+	pub fn unpaused(time:Time,new_time:Time)->Self{
+		Self::Unpaused(TimerFixed::new(time,new_time))
+	}
+	pub fn time(&self,time:Time)->Time{
+		match self{
+			Self::Paused(timer)=>timer.time(time),
+			Self::Unpaused(timer)=>timer.time(time),
+		}
+	}
+	pub fn set_time(&mut self,time:Time,new_time:Time){
+		match self{
+			Self::Paused(timer)=>timer.set_time(time,new_time),
+			Self::Unpaused(timer)=>timer.set_time(time,new_time),
+		}
+	}
+	pub fn pause(&mut self,time:Time)->Result<(),Error>{
+		*self=match *self{
+			Self::Paused(_)=>return Err(Error::AlreadyPaused),
+			Self::Unpaused(timer)=>Self::Paused(timer.into_paused(time)),
+		};
+		Ok(())
+	}
+	pub fn unpause(&mut self,time:Time)->Result<(),Error>{
+		*self=match *self{
+			Self::Paused(timer)=>Self::Unpaused(timer.into_unpaused(time)),
+			Self::Unpaused(_)=>return Err(Error::AlreadyUnpaused),
+		};
+		Ok(())
+	}
+	pub fn is_paused(&self)->bool{
+		match self{
+			Self::Paused(_)=>true,
+			Self::Unpaused(_)=>false,
+		}
+	}
+	pub fn set_paused(&mut self,time:Time,paused:bool)->Result<(),Error>{
+		match paused{
+			true=>self.pause(time),
+			false=>self.unpause(time),
+		}
+	}
+}
+//scaled timer methods are generic across PauseState
+impl Timer<Scaled>{
+	pub const fn get_scale(&self)->Ratio64{
+		match self{
+			Self::Paused(timer)=>timer.get_scale(),
+			Self::Unpaused(timer)=>timer.get_scale(),
+		}
+	}
+	pub fn set_scale(&mut self,time:Time,new_scale:Ratio64){
+		match self{
+			Self::Paused(timer)=>timer.set_scale(time,new_scale),
+			Self::Unpaused(timer)=>timer.set_scale(time,new_scale),
+		}
+	}
+}
+
+#[cfg(test)]
+mod test{
+	use super::*;
+	macro_rules! sec {
+		($s: expr) => {
+			Time::from_secs($s)
+		};
+	}
+	#[test]
+	fn test_timerfixed_scaled(){
+		//create a paused timer that reads 0s
+		let timer=TimerFixed::<Scaled,Paused>::from_state(Scaled{scale:0.5f32.try_into().unwrap(),offset:sec!(0)});
+		//the paused timer at 1 second should read 0s
+		assert_eq!(timer.time(sec!(1)),sec!(0));
+
+		//unpause it after one second
+		let timer=timer.into_unpaused(sec!(1));
+		//the timer at 6 seconds should read 2.5s
+		assert_eq!(timer.time(sec!(6)),Time::from_millis(2500));
+
+		//pause the timer after 11 seconds
+		let timer=timer.into_paused(sec!(11));
+		//the paused timer at 20 seconds should read 5s
+		assert_eq!(timer.time(sec!(20)),sec!(5));
+	}
+	#[test]
+	fn test_timer()->Result<(),Error>{
+		//create a paused timer that reads 0s
+		let mut timer=Timer::<Realtime>::paused(sec!(0),sec!(0));
+		//the paused timer at 1 second should read 0s
+		assert_eq!(timer.time(sec!(1)),sec!(0));
+
+		//unpause it after one second
+		timer.unpause(sec!(1))?;
+		//the timer at 6 seconds should read 5s
+		assert_eq!(timer.time(sec!(6)),sec!(5));
+
+		//pause the timer after 11 seconds
+		timer.pause(sec!(11))?;
+		//the paused timer at 20 seconds should read 10s
+		assert_eq!(timer.time(sec!(20)),sec!(10));
+
+		Ok(())
+	}
+}

src/zeroes.rs

@@ -1,40 +0,0 @@
-//find roots of polynomials
-use crate::integer::Planar64;
-
-#[inline]
-pub fn zeroes2(a0:Planar64,a1:Planar64,a2:Planar64) -> Vec<Planar64>{
-	if a2==Planar64::ZERO{
-		return zeroes1(a0, a1);
-	}
-	let radicand=a1.get() as i128*a1.get() as i128-a2.get() as i128*a0.get() as i128*4;
-	if 0<radicand {
-		//start with f64 sqrt
-		//failure case: 2^63 < sqrt(2^127)
-		let planar_radicand=Planar64::raw(unsafe{(radicand as f64).sqrt().to_int_unchecked()});
-		//TODO: one or two newtons
-		//sort roots ascending and avoid taking the difference of large numbers
-		match (Planar64::ZERO<a2,Planar64::ZERO<a1){
-			(true, true )=>vec![(-a1-planar_radicand)/(a2*2),(a0*2)/(-a1-planar_radicand)],
-			(true, false)=>vec![(a0*2)/(-a1+planar_radicand),(-a1+planar_radicand)/(a2*2)],
-			(false,true )=>vec![(a0*2)/(-a1-planar_radicand),(-a1-planar_radicand)/(a2*2)],
-			(false,false)=>vec![(-a1+planar_radicand)/(a2*2),(a0*2)/(-a1+planar_radicand)],
-		}
-	} else if radicand==0 {
-		return vec![a1/(a2*-2)];
-	} else {
-		return vec![];
-	}
-}
-#[inline]
-pub fn zeroes1(a0:Planar64,a1:Planar64) -> Vec<Planar64> {
-	if a1==Planar64::ZERO{
-		return vec![];
-	}else{
-		let q=((-a0.get() as i128)<<32)/(a1.get() as i128);
-		if i64::MIN as i128<=q&&q<=i64::MAX as i128{
-			return vec![Planar64::raw(q as i64)];
-		}else{
-			return vec![];
-		}
-	}
-}