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-rw-r--r--common/coords.lua77
1 files changed, 65 insertions, 12 deletions
diff --git a/common/coords.lua b/common/coords.lua
index 351aa53..f0ca877 100644
--- a/common/coords.lua
+++ b/common/coords.lua
@@ -1,4 +1,5 @@
local class = require"common.class"
+local CHUNK_SIZE = require"common.constants".CHUNK_SIZE
-- Hex: q,r,s. invariant that q+r+s=0
-- add, subtract
@@ -13,15 +14,24 @@ local function round(x)
end
end
-local Pos, Hex
+local Pos, Hex, ChunkPos
local SR3 = math.sqrt(3)
-local Hex = class()
-function Hex.make(cls,q,r,s)
+Hex = class()
+function Hex.new(cls)
+ return setmetatable({},cls)
+end
+function Hex.init(self,q,r,s)
s=s or -q-r
assert(q+r+s==0,"hex coord doesn't meet invariant")
- return setmetatable({q=q,r=r,s=s},cls)
+ self.q=q
+ self.r=r
+ self.s=s
+ return self
+end
+function Hex.make(cls,...)
+ return cls:new():init(...)
end
function Hex.round(self)
-- return a new Hex rounded to integer coordinates
@@ -44,20 +54,43 @@ function Hex.round(self)
return Hex:make(rq,rr,rs)
end
-function Hex.to_pos(self)
+function Hex.to_pos(self,into)
+ into = into or Pos:new()
local x = self.q*SR3 + self.r*(SR3/2)
local y = self.r*(3/2)
- return Pos:make(x,y)
+ return into:init(x,y)
end
+function Hex.containing_chunk(self)
+ local u = math.floor(self.q/CHUNK_SIZE)
+ local v = math.floor(self.r/CHUNK_SIZE)
+ return ChunkPos:make(u,v)
+end
+function Hex.chunk_and_offset(self)
+ local cp = self:containing_chunk()
+ local tl = cp:extents()
+ return cp, (self-tl)
+end
+function Hex.offset_in_chunk(self)
+ local cp,offs = self:chunk_and_offset()
+ return offs
+end
function Hex.__add(self,other) return Hex:make(self.q+other.q, self.r+other.r, self.s+other.s) end
function Hex.__sub(self,other) return Hex:make(self.q-other.q, self.r-other.r, self.s-other.s) end
function Hex.__tostring(self) return string.format("H(%.2f,%.2f)",self.q,self.r) end
-
+function Hex.__eq(a,b) return a.q==b.q and a.r==b.r end
Pos = class()
-function Pos.make(cls,x,y)
- return setmetatable({x=x,y=y},cls)
+function Pos.new(cls)
+ return setmetatable({},cls)
+end
+function Pos.init(self,x,y)
+ self.x = x
+ self.y = y
+ return self
+end
+function Pos.make(cls,...)
+ return cls:new():init(...)
end
function Pos.__add(self,other) return Pos:make(self.x+other.x,self.y+other.y) end
function Pos.__sub(self,other) return Pos:make(self.x-other.x,self.y-other.y) end
@@ -74,19 +107,39 @@ function Pos.__div(a,b)
assert(type(b) == "number","can only divide Pos by scalar, and can't divide scalar by Pos")
return a*(1/b)
end
+function Pos.__eq(a,b) return a.x==b.x and a.y==b.y end
function Pos.lensq(self) return self.x^2 + self.y^2 end
function Pos.len(self) return math.sqrt(self:lensq()) end
function Pos.norm(self) return self/self:len() end
function Pos.dot(self,other) return self.x*other.x + self.y*other.y end
-function Pos.to_hex(self)
+function Pos.to_hex(self,into)
+ into = into or Hex:new()
local q = self.x*(SR3/3) - self.y*(1/3)
local r = (2/3)*self.y
- return Hex:make(q,r,-q-r)
+ return into:init(q,r,-q-r)
end
function Pos.__tostring(self) return string.format("(%.2f,%.2f)",self.x,self.y) end
+-- represents coordinates of a chunk
+-- ie pair of integers. the chunk at spawn is C(0,0), the one to the right of that is C(1,0), etc
+ChunkPos = class()
+function ChunkPos.make(cls,u,v)
+ return setmetatable({u=u,v=v},cls)
+end
+function ChunkPos.__add(self,other) return ChunkPos:make(self.u+other.u,self.v+other.v) end
+function ChunkPos.__sub(self,other) return ChunkPos:make(self.u-other.u,self.v-other.v) end
+function ChunkPos.__tostring(self) return string.format("C(%d,%d)",self.u,self.v) end
+function ChunkPos.__eq(a,b) return a.u==b.u and a.v==b.v end
+function ChunkPos.extents(self)
+ -- returns Hex of topleft and bottomright
+ local tlq,tlr = self.u*CHUNK_SIZE, self.v*CHUNK_SIZE
+ local brq,brr = (self.u+1)*CHUNK_SIZE -1, (self.v+1)*CHUNK_SIZE -1
+ return Hex:make(tlq,tlr), Hex:make(brq,brr)
+end
+
+
-return {Hex=Hex,Pos=Pos}
+return {Hex=Hex,Pos=Pos,ChunkPos=ChunkPos}