how does it know what to do

Cargo.lock

@@ -4,9 +4,9 @@ version = 3
 
 [[package]]
 name = "arrayvec"
-version = "0.7.4"
+version = "0.7.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "96d30a06541fbafbc7f82ed10c06164cfbd2c401138f6addd8404629c4b16711"
+checksum = "7c02d123df017efcdfbd739ef81735b36c5ba83ec3c59c80a9d7ecc718f92e50"
 
 [[package]]
 name = "bitflags"
@@ -14,6 +14,23 @@ version = "2.6.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "b048fb63fd8b5923fc5aa7b340d8e156aec7ec02f0c78fa8a6ddc2613f6f71de"
 
+[[package]]
+name = "bnum"
+version = "0.12.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "50202def95bf36cb7d1d7a7962cea1c36a3f8ad42425e5d2b71d7acb8041b5b8"
+
+[[package]]
+name = "fixed_wide"
+version = "0.1.0"
+source = "git+https://git.itzana.me/StrafesNET/fixed_wide_vectors?rev=438d0ec6ec4ae97d13d950ea317ce324dd205e10#438d0ec6ec4ae97d13d950ea317ce324dd205e10"
+dependencies = [
+ "arrayvec",
+ "bnum",
+ "paste",
+ "ratio_ops",
+]
+
 [[package]]
 name = "glam"
 version = "0.28.0"
@@ -31,6 +48,22 @@ dependencies = [
  "syn",
 ]
 
+[[package]]
+name = "linear_ops"
+version = "0.1.0"
+source = "git+https://git.itzana.me/StrafesNET/fixed_wide_vectors?rev=438d0ec6ec4ae97d13d950ea317ce324dd205e10#438d0ec6ec4ae97d13d950ea317ce324dd205e10"
+dependencies = [
+ "fixed_wide",
+ "paste",
+ "ratio_ops",
+]
+
+[[package]]
+name = "paste"
+version = "1.0.15"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "57c0d7b74b563b49d38dae00a0c37d4d6de9b432382b2892f0574ddcae73fd0a"
+
 [[package]]
 name = "proc-macro2"
 version = "1.0.86"
@@ -49,14 +82,22 @@ dependencies = [
  "proc-macro2",
 ]
 
+[[package]]
+name = "ratio_ops"
+version = "0.1.0"
+source = "git+https://git.itzana.me/StrafesNET/fixed_wide_vectors?rev=438d0ec6ec4ae97d13d950ea317ce324dd205e10#438d0ec6ec4ae97d13d950ea317ce324dd205e10"
+
 [[package]]
 name = "strafesnet_common"
 version = "0.4.1"
 dependencies = [
  "arrayvec",
  "bitflags",
+ "fixed_wide",
  "glam",
  "id",
+ "linear_ops",
+ "ratio_ops",
 ]
 
 [[package]]

Cargo.toml

@@ -12,5 +12,8 @@ authors = ["Rhys Lloyd <krakow20@gmail.com>"]
 [dependencies]
 arrayvec = "0.7.4"
 bitflags = "2.6.0"
+fixed_wide = { git = "https://git.itzana.me/StrafesNET/fixed_wide_vectors", rev = "438d0ec6ec4ae97d13d950ea317ce324dd205e10", features = ["deferred-division","zeroes","wide-mul"] }
+linear_ops = { git = "https://git.itzana.me/StrafesNET/fixed_wide_vectors", rev = "438d0ec6ec4ae97d13d950ea317ce324dd205e10", features = ["deferred-division","named-fields"] }
+ratio_ops = { git = "https://git.itzana.me/StrafesNET/fixed_wide_vectors", rev = "438d0ec6ec4ae97d13d950ea317ce324dd205e10" }
 glam = "0.28.0"
 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

@@ -126,9 +126,9 @@ fn generate_bvh_node<T>(boxen:Vec<(T,Aabb)>,force:bool)->BvhNode<T>{
 		let mut sort_z=Vec::with_capacity(n);
 		for (i,(_,aabb)) in boxen.iter().enumerate(){
 			let center=aabb.center();
-			sort_x.push((i,center.x()));
-			sort_y.push((i,center.y()));
-			sort_z.push((i,center.z()));
+			sort_x.push((i,center.x));
+			sort_y.push((i,center.y));
+			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));

src/gameplay_attributes.rs

@@ -38,10 +38,11 @@ impl Booster{
 	pub fn boost(&self,velocity:Planar64Vec3)->Planar64Vec3{
 		match self{
 			&Booster::Velocity(boost_velocity)=>velocity+boost_velocity,
-			&Booster::Energy{direction,energy}=>{
-				let d=direction.dot(velocity);
+			&Booster::Energy{..}=>{
+				todo!()
+				//let d=direction.dot(velocity);
 				//TODO: think about negative
-				velocity+direction.with_length((d*d+energy).sqrt()-d)
+				//velocity+direction.with_length((d*d+energy).sqrt()-d)
 			},
 			Booster::AirTime(_)=>todo!(),
 			Booster::Height(_)=>todo!(),

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)]
@@ -65,19 +65,21 @@ impl JumpImpulse{
 		mass:Planar64,
 	)->Planar64Vec3{
 		match self{
-			&JumpImpulse::Time(time)=>velocity-*gravity*time,
+			&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 g=gravity.length();
-				let v_g=gravity.dot(velocity)/g;
+				let gg=gravity.length_squared();
+				let g=gg.sqrt().fix_1();
+				let v_g=gravity.dot(velocity);
 				//do it backwards
-				velocity-gravity.with_length((v_g*v_g+height*g*2).sqrt()+v_g)
+				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.with_length(jump_speed),
+			&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);
+				//let e=gravity.dot(velocity);
 				//add
 				//you get the idea
 				todo!()
@@ -88,10 +90,10 @@ impl JumpImpulse{
 	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::Time(time)=>gravity.length()*(time/2),
-			&JumpImpulse::Height(height)=>(gravity.length()*height*2).sqrt(),
+			&JumpImpulse::Time(time)=>(gravity.length().fix_1()*time/2).divide().fix_1(),
+			&JumpImpulse::Height(height)=>(gravity.length()*height*2).sqrt().fix_1(),
 			&JumpImpulse::Linear(deltav)=>deltav,
-			&JumpImpulse::Energy(energy)=>(energy*2/mass).sqrt(),
+			&JumpImpulse::Energy(energy)=>(energy.sqrt()*2/mass.sqrt()).divide().fix_1(),
 		}
 	}
 }
@@ -123,9 +125,10 @@ impl JumpSettings{
 					None=>rel_velocity,
 				};
 				let j=boost_vel.dot(jump_dir);
-				if j<jump_speed{
+				let js=jump_speed.fix_2();
+				if j<js{
 					//weak booster: just do a regular jump
-					boost_vel+jump_dir.with_length(jump_speed-j)
+					boost_vel+jump_dir.with_length(js-j).divide().fix_1()
 				}else{
 					//activate booster normally, jump does nothing
 					boost_vel
@@ -138,12 +141,13 @@ impl JumpSettings{
 					None=>rel_velocity,
 				};
 				let j=boost_vel.dot(jump_dir);
-				if j<jump_speed{
+				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(jump_speed-j)
+					boost_vel+jump_dir.with_length(js-j).divide().fix_1()
 				}else{
 					//boost and jump add together
-					boost_vel+jump_dir.with_length(jump_speed)
+					boost_vel+jump_dir.with_length(js).divide().fix_1()
 				}
 			}
 			(false,JumpCalculation::Max)=>{
@@ -154,9 +158,10 @@ impl JumpSettings{
 					None=>rel_velocity,
 				};
 				let boost_dot=boost_vel.dot(jump_dir);
-				if boost_dot<jump_speed{
+				let js=jump_speed.fix_2();
+				if boost_dot<js{
 					//weak boost is extended to jump speed
-					boost_vel+jump_dir.with_length(jump_speed-boost_dot)
+					boost_vel+jump_dir.with_length(js-boost_dot).divide().fix_1()
 				}else{
 					//activate booster normally, jump does nothing
 					boost_vel
@@ -168,7 +173,7 @@ impl JumpSettings{
 					Some(booster)=>booster.boost(rel_velocity),
 					None=>rel_velocity,
 				};
-				boost_vel+jump_dir.with_length(jump_speed)
+				boost_vel+jump_dir.with_length(jump_speed).divide().fix_1()
 			},
 		}
 	}
@@ -261,8 +266,9 @@ pub struct StrafeSettings{
 impl StrafeSettings{
 	pub fn tick_velocity(&self,velocity:Planar64Vec3,control_dir:Planar64Vec3)->Option<Planar64Vec3>{
 		let d=velocity.dot(control_dir);
-		match d<self.mv{
-			true=>Some(velocity+control_dir*self.air_accel_limit.map_or(self.mv-d,|limit|limit.min(self.mv-d))),
+		let mv=self.mv.fix_2();
+		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,
 		}
 	}
@@ -283,7 +289,7 @@ pub struct PropulsionSettings{
 }
 impl PropulsionSettings{
 	pub fn acceleration(&self,control_dir:Planar64Vec3)->Planar64Vec3{
-		control_dir*self.magnitude
+		(control_dir*self.magnitude).fix_1()
 	}
 }
 
@@ -303,38 +309,40 @@ pub struct WalkSettings{
 impl WalkSettings{
 	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 m=control_dir.length();
-		let d=normal.dot(control_dir)/m;
-		if d<n{
+		let nn=normal.length_squared();
+		let mm=control_dir.length_squared();
+		let nnmm=nn*mm;
+		let d=normal.dot(control_dir);
+		let dd=d*d;
+		if dd<nnmm{
 			let cr=normal.cross(control_dir);
-			if cr==Planar64Vec3::ZERO{
-				Planar64Vec3::ZERO
+			if cr==crate::integer::vec3::ZERO_2{
+				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
 	}
 }
 
@@ -351,32 +359,35 @@ impl LadderSettings{
 		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 m=control_dir.length();
-		let mut d=normal.dot(control_dir)/m;
-		if d< -self.dot*n{
-			control_dir=Planar64Vec3::Y*m;
-			d=normal.y();
-		}else if self.dot*n<d{
-			control_dir=Planar64Vec3::NEG_Y*m;
-			d=-normal.y();
+		let nn=normal.length_squared();
+		let mm=control_dir.length_squared();
+		let nnmm=nn*mm;
+		let d=normal.dot(control_dir);
+		let mut dd=d*d;
+		if (self.dot*self.dot*nnmm).fix_4()<dd{
+			if d.is_negative(){
+				control_dir=Planar64Vec3::new([Planar64::ZERO,mm.fix_1(),Planar64::ZERO]);
+			}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{
-				Planar64Vec3::ZERO
+			if cr==crate::integer::vec3::ZERO_2{
+				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
 		}
 	}
 }
@@ -399,22 +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 UP_DIR:Planar64Vec3=Planar64Vec3::Y;
-	pub const FORWARD_DIR:Planar64Vec3=Planar64Vec3::NEG_Z;
+	pub const RIGHT_DIR:Planar64Vec3=crate::integer::vec3::X;
+	pub const UP_DIR:Planar64Vec3=crate::integer::vec3::Y;
+	pub const FORWARD_DIR:Planar64Vec3=crate::integer::vec3::NEG_Z;
 
 	pub fn neo()->Self{
 		Self{
@@ -423,38 +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::Energy(Planar64::int(512)),
+				impulse:JumpImpulse::Energy(int(512)),
 				calculation:JumpCalculation::JumpThenBoost,
 				limit_minimum:false,
 			}),
-			gravity:Planar64Vec3::int(0,-80,0),
-			mass:Planar64::int(1),
+			gravity:int3(0,-80,0),
+			mass:int(1),
 			rocket:None,
 			walk:Some(WalkSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(16),
-					accel:Planar64::int(80),
+					topspeed:int(16),
+					accel:int(80),
 				},
-				static_friction:Planar64::int(2),
-				kinetic_friction:Planar64::int(3),//unrealistic: kinetic friction is typically lower than static
-				surf_dot:Planar64::int(3)/4,
+				static_friction:int(2),
+				kinetic_friction:int(3),//unrealistic: kinetic friction is typically lower than static
+				surf_dot:int(3)/4,
 			}),
 			ladder:Some(LadderSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(16),
-					accel:Planar64::int(160),
+					topspeed:int(16),
+					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
 		}
 	}
 
@@ -465,7 +476,7 @@ 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{
@@ -473,35 +484,35 @@ impl StyleModifiers{
 				calculation:JumpCalculation::Max,
 				limit_minimum:true,
 			}),
-			gravity:Planar64Vec3::int(0,-100,0),
-			mass:Planar64::int(1),
+			gravity:int3(0,-100,0),
+			mass:int(1),
 			rocket:None,
 			walk:Some(WalkSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),
-					accel:Planar64::int(90),
+					topspeed:int(18),
+					accel:int(90),
 				},
-				static_friction:Planar64::int(2),
-				kinetic_friction:Planar64::int(3),//unrealistic: kinetic friction is typically lower than static
-				surf_dot:Planar64::int(3)/4,// normal.y=0.75
+				static_friction:int(2),
+				kinetic_friction:int(3),//unrealistic: kinetic friction is typically lower than static
+				surf_dot:int(3)/4,// normal.y=0.75
 			}),
 			ladder:Some(LadderSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),
-					accel:Planar64::int(180),
+					topspeed:int(18),
+					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()
 		}
 	}
@@ -509,7 +520,7 @@ impl StyleModifiers{
 		Self{
 			strafe:None,
 			rocket:Some(PropulsionSettings{
-				magnitude:Planar64::int(200),
+				magnitude:int(200),
 			}),
 			..Self::roblox_bhop()
 		}
@@ -522,38 +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::Height(Planar64::int(52)*VALVE_SCALE),
+				impulse:JumpImpulse::Height((int(52)*VALVE_SCALE).fix_1()),
 				calculation:JumpCalculation::JumpThenBoost,
 				limit_minimum:true,
 			}),
-			gravity:Planar64Vec3::int(0,-800,0)*VALVE_SCALE,
-			mass:Planar64::int(1),
+			gravity:(int3(0,-800,0)*VALVE_SCALE).fix_1(),
+			mass:int(1),
 			rocket:None,
 			walk:Some(WalkSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),//?
-					accel:Planar64::int(90),//?
+					topspeed:int(18),//?
+					accel:int(90),//?
 				},
-				static_friction:Planar64::int(2),//?
-				kinetic_friction:Planar64::int(3),//?
-				surf_dot:Planar64::int(3)/4,// normal.y=0.75
+				static_friction:int(2),//?
+				kinetic_friction:int(3),//?
+				surf_dot:int(3)/4,// normal.y=0.75
 			}),
 			ladder:Some(LadderSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),//?
-					accel:Planar64::int(180),//?
+					topspeed:int(18),//?
+					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{
@@ -562,39 +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),
-				mv:Planar64::int(30)*VALVE_SCALE,
+				air_accel_limit:Some((int(150)*66*VALVE_SCALE).fix_1()),
+				mv:(int(30)*VALVE_SCALE).fix_1(),
 				tick_rate:Ratio64::new(66,Time::ONE_SECOND.nanos() as u64).unwrap(),
 			}),
 			jump:Some(JumpSettings{
-				impulse:JumpImpulse::Height(Planar64::int(52)*VALVE_SCALE),
+				impulse:JumpImpulse::Height((int(52)*VALVE_SCALE).fix_1()),
 				calculation:JumpCalculation::JumpThenBoost,
 				limit_minimum:true,
 			}),
-			gravity:Planar64Vec3::int(0,-800,0)*VALVE_SCALE,
-			mass:Planar64::int(1),
+			gravity:(int3(0,-800,0)*VALVE_SCALE).fix_1(),
+			mass:int(1),
 			rocket:None,
 			walk:Some(WalkSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),//?
-					accel:Planar64::int(90),//?
+					topspeed:int(18),//?
+					accel:int(90),//?
 				},
-				static_friction:Planar64::int(2),//?
-				kinetic_friction:Planar64::int(3),//?
-				surf_dot:Planar64::int(3)/4,// normal.y=0.75
+				static_friction:int(2),//?
+				kinetic_friction:int(3),//?
+				surf_dot:int(3)/4,// normal.y=0.75
 			}),
 			ladder:Some(LadderSettings{
 				accelerate:AccelerateSettings{
-					topspeed:Planar64::int(18),//?
-					accel:Planar64::int(180),//?
+					topspeed:int(18),//?
+					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/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 {
+	($trait:ty, $method:ident) => {
+		impl $trait for Time{
 			type Output=Time;
 			#[inline]
-	fn add(self,rhs:Self)->Self::Output {
-		Time(self.0+rhs.0)
+			fn $method(self,rhs:Self)->Self::Output {
+				Time(self.0.$method(rhs.0))
 			}
-}
-impl std::ops::Sub<Time> for Time{
-	type Output=Time;
-	#[inline]
-	fn sub(self,rhs:Self)->Self::Output {
-		Time(self.0-rhs.0)
 		}
+	};
 }
-impl std::ops::Mul<Time> for Time{
-	type Output=Time;
+impl_time_additive_operator!(core::ops::Add,add);
+impl_time_additive_operator!(core::ops::Sub,sub);
+impl_time_additive_operator!(core::ops::Rem,rem);
+macro_rules! impl_time_additive_assign_operator {
+	($trait:ty, $method:ident) => {
+		impl $trait for Time{
 			#[inline]
-	fn mul(self,rhs:Time)->Self::Output{
-		Self((((self.0 as i128)*(rhs.0 as i128))/1_000_000_000) as i64)
+			fn $method(&mut self,rhs:Self){
+				self.0.$method(rhs.0)
+			}
+		}
+	};
+}
+impl_time_additive_assign_operator!(core::ops::AddAssign,add_assign);
+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:Self)->Self::Output{
+		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_sin(&self)->(Planar64,Planar64){
 		/*
-	#[inline]
-	pub fn cos(&self)->Unit32{
-		//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));
 			}
-	#[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()})
+			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))
+	}
 }
-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]
@@ -427,655 +525,102 @@ impl TryFrom<[f32;3]> for Unit32Vec3{
 }
 */
 
-///[-1.0,1.0] = [-2^32,2^32]
-#[derive(Clone,Copy,Debug,Hash,Eq,Ord,PartialEq,PartialOrd)]
-pub struct Planar64(i64);
-impl Planar64{
-	pub const ZERO:Self=Self(0);
-	pub const ONE:Self=Self(1<<32);
-	pub const MAX:Self=Self(i64::MAX);
-	pub const MIN:Self=Self(i64::MIN);
-	#[inline]
-	pub const fn int(num:i32)->Self{
-		Self(Self::ONE.0*num as i64)
+pub type Planar64=fixed_wide::types::I32F32;
+pub type Planar64Vec3=linear_ops::types::Vector3<Planar64>;
+pub type Planar64Mat3=linear_ops::types::Matrix3<Planar64>;
+pub mod vec3{
+	use super::*;
+	pub use linear_ops::types::Vector3;
+	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]);
+	pub fn int(x:i32,y:i32,z:i32)->Planar64Vec3{
+		Planar64Vec3::new([Planar64::from(x),Planar64::from(y),Planar64::from(z)])
 	}
-	#[inline]
-	pub const fn raw(num:i64)->Self{
-		Self(num)
+	pub fn raw_array(array:[i64;3])->Planar64Vec3{
+		Planar64Vec3::new(array.map(Planar64::raw))
 	}
-	#[inline]
-	pub const fn get(&self)->i64{
-		self.0
-	}
-	#[inline]
-	pub const fn abs(self)->Self{
-		Self(self.0.abs())
-	}
-	#[inline]
-	pub fn sqrt(&self)->Self{
-		Planar64(unsafe{(((self.0 as i128)<<32) as f64).sqrt().to_int_unchecked()})
-	}
-	#[inline]
-	pub const fn signum_i64(&self)->i64{
-		((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,
-		))
+	pub fn raw_xyz(x:i64,y:i64,z:i64)->Planar64Vec3{
+		Planar64Vec3::new([Planar64::raw(x),Planar64::raw(y),Planar64::raw(z)])
 	}
 }
 
-///[-1.0,1.0] = [-2^32,2^32]
-#[derive(Clone,Copy,Hash,Eq,PartialEq)]
-pub struct Planar64Mat3{
-	pub x_axis:Planar64Vec3,
-	pub y_axis:Planar64Vec3,
-	pub z_axis:Planar64Vec3,
+pub fn int(value:i32)->Planar64{
+	Planar64::from(value)
 }
-impl Default for Planar64Mat3{
-	#[inline]
-	fn default() -> Self {
-		Self{
-			x_axis:Planar64Vec3::X,
-			y_axis:Planar64Vec3::Y,
-			z_axis:Planar64Vec3::Z,
-		}
-	}
-}
-impl Planar64Mat3{
-	#[inline]
-	pub const fn from_cols(x_axis:Planar64Vec3,y_axis:Planar64Vec3,z_axis:Planar64Vec3)->Self{
-		Self{
-			x_axis,
-			y_axis,
-			z_axis,
-		}
-	}
-	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]),
-		}
+pub mod mat3{
+	use super::*;
+	pub use linear_ops::types::Matrix3;
+	pub fn from_diagonal(diag:Planar64Vec3)->Planar64Mat3{
+		Planar64Mat3::new([
+			[diag.x,Planar64::ZERO,Planar64::ZERO],
+			[Planar64::ZERO,diag.y,Planar64::ZERO],
+			[Planar64::ZERO,Planar64::ZERO,diag.z],
+		])
 	}
 	#[inline]
-	pub const fn from_diagonal(diagonal:Planar64Vec3)->Self{
-		Self{
-			x_axis:Planar64Vec3::raw_xyz(diagonal.0.x,0,0),
-			y_axis:Planar64Vec3::raw_xyz(0,diagonal.0.y,0),
-			z_axis:Planar64Vec3::raw_xyz(0,0,diagonal.0.z),
-		}
+	pub fn from_rotation_yx(x:Angle32,y:Angle32)->Planar64Mat3{
+		let (xc,xs)=x.cos_sin();
+		let (yc,ys)=y.cos_sin();
+		Planar64Mat3::from_cols([
+			Planar64Vec3::new([xc,Planar64::ZERO,-xs]),
+			Planar64Vec3::new([(xs*ys).fix_1(),yc,(xc*ys).fix_1()]),
+			Planar64Vec3::new([(xs*yc).fix_1(),-ys,(xc*yc).fix_1()]),
+		])
 	}
 	#[inline]
-	pub fn from_rotation_yx(yaw:Angle32,pitch:Angle32)->Self{
-		let xtheta=yaw.0 as f64*ANGLE32_TO_FLOAT64_RADIANS;
-		let (xs,xc)=xtheta.sin_cos();
-		let (xc,xs)=(xc*PLANAR64_ONE_FLOAT64,xs*PLANAR64_ONE_FLOAT64);
-		let ytheta=pitch.0 as f64*ANGLE32_TO_FLOAT64_RADIANS;
-		let (ys,yc)=ytheta.sin_cos();
-		let (yc,ys)=(yc*PLANAR64_ONE_FLOAT64,ys*PLANAR64_ONE_FLOAT64);
-		//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{
-		let theta=angle.0 as f64*ANGLE32_TO_FLOAT64_RADIANS;
-		let (s,c)=theta.sin_cos();
-		let (c,s)=(c*PLANAR64_ONE_FLOAT64,s*PLANAR64_ONE_FLOAT64);
-		//TODO: fix this rounding towards 0
-		let (c,s):(i64,i64)=(unsafe{c.to_int_unchecked()},unsafe{s.to_int_unchecked()});
-		Self::from_cols(
-			Planar64Vec3(glam::i64vec3(c,0,-s)),
-			Planar64Vec3::Y,
-			Planar64Vec3(glam::i64vec3(s,0,c)),
-		)
-	}
-	#[inline]
-	pub const fn inverse(&self)->Self{
-		let det=(
-			-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
-			)>>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,
-		}
+	pub fn from_rotation_y(y:Angle32)->Planar64Mat3{
+		let (c,s)=y.cos_sin();
+		Planar64Mat3::from_cols([
+			Planar64Vec3::new([c,Planar64::ZERO,-s]),
+			vec3::Y,
+			Planar64Vec3::new([s,Planar64::ZERO,c]),
+		])
 	}
 }
 
-///[-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{
-		Planar64Vec3(
-			self.translation.0
-			+(self.matrix3.x_axis*point.x()).0
-			+(self.matrix3.y_axis*point.y()).0
-			+(self.matrix3.z_axis*point.z()).0
-		)
+	pub fn transform_point3(&self,point:Planar64Vec3)->vec3::Vector3<Fixed<2,64>>{
+		self.translation.fix_2()+self.matrix3*point
 	}
 }
 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,
-			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,
-			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,
-			self.translation.0.x as f32,self.translation.0.y as f32,self.translation.0.z as f32,PLANAR64_ONE_FLOAT32
-		])*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()),
-		)
+			matrix3[0][0],matrix3[0][1],matrix3[0][2],0.0,
+			matrix3[1][0],matrix3[1][1],matrix3[1][2],0.0,
+			matrix3[2][0],matrix3[2][1],matrix3[2][2],0.0,
+			translation[0],translation[1],translation[2],1.0
+		])
 	}
 }
 
 #[test]
 fn test_sqrt(){
-	let r=Planar64::int(400);
-	assert_eq!(1717986918400,r.get());
+	let r=int(400);
+	assert_eq!(r,Planar64::raw(1717986918400));
 	let s=r.sqrt();
-	assert_eq!(85899345920,s.get());
+	assert_eq!(s,Planar64::raw(85899345920));
 }

src/lib.rs

@@ -5,7 +5,6 @@ pub mod aabb;
 pub mod model;
 pub mod mouse;
 pub mod timer;
-pub mod zeroes;
 pub mod integer;
 pub mod physics;
 pub mod updatable;

src/timer.rs

@@ -283,19 +283,19 @@ mod test{
 	#[test]
 	fn test_timerfixed_scaled(){
 		//create a paused timer that reads 0s
-		let timer=TimerFixed::<Scaled,Paused>::new(sec!(0),sec!(0));
+		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 5s
-		assert_eq!(timer.time(sec!(6)),sec!(5));
+		//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 10s
-		assert_eq!(timer.time(sec!(20)),sec!(10));
+		//the paused timer at 20 seconds should read 5s
+		assert_eq!(timer.time(sec!(20)),sec!(5));
 	}
 	#[test]
 	fn test_timer()->Result<(),Error>{

src/zeroes.rs

@@ -1,41 +0,0 @@
-//find roots of polynomials
-use arrayvec::ArrayVec;
-use crate::integer::Planar64;
-
-#[inline]
-pub fn zeroes2(a0:Planar64,a1:Planar64,a2:Planar64)->ArrayVec<Planar64,2>{
-	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 )=>[(-a1-planar_radicand)/(a2*2),(a0*2)/(-a1-planar_radicand)].into(),
-			(true, false)=>[(a0*2)/(-a1+planar_radicand),(-a1+planar_radicand)/(a2*2)].into(),
-			(false,true )=>[(a0*2)/(-a1-planar_radicand),(-a1-planar_radicand)/(a2*2)].into(),
-			(false,false)=>[(-a1+planar_radicand)/(a2*2),(a0*2)/(-a1+planar_radicand)].into(),
-		}
-	}else if radicand==0{
-		return ArrayVec::from_iter([a1/(a2*-2)]);
-	}else{
-		return ArrayVec::new_const();
-	}
-}
-#[inline]
-pub fn zeroes1(a0:Planar64,a1:Planar64)->ArrayVec<Planar64,2>{
-	if a1==Planar64::ZERO{
-		return ArrayVec::new_const();
-	}else{
-		let q=((-a0.get() as i128)<<32)/(a1.get() as i128);
-		if i64::MIN as i128<=q&&q<=i64::MAX as i128{
-			return ArrayVec::from_iter([Planar64::raw(q as i64)]);
-		}else{
-			return ArrayVec::new_const();
-		}
-	}
-}