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--[[ builtin/vector.lua ]]--
local function wrap(op, body_wrapper, ...)
return loadstring("return function(a, b) " .. body_wrapper(op, ...) .. "end")()
end
local function arith_mt(...)
return {
__add = wrap("+", ...),
__sub = wrap("-", ...),
__mul = wrap("*", ...),
__div = wrap("/", ...),
__mod = wrap("%", ...),
__index = {},
}
end
-- vec2
local mt_vec2 = arith_mt(function(op)
return [[
if type(b) == "number" then
return vec2(a.x ]] .. op.. [[ b, a.y ]] .. op .. [[ b)
else
return vec2(a.x ]] .. op.. [[ b.x, a.y ]] .. op.. [[ b.y)
end
]]
end)
function mt_vec2:__neg()
return vec2(-self.x, -self.y)
end
function mt_vec2:__len()
return math.sqrt(self:dot(self))
end
function mt_vec2:__eq(other)
return type(other) == "table" and self.x == other.x and self.y == other.y
end
function mt_vec2:__tostring()
return "(" .. self.x .. ", " .. self.y .. ")"
end
function mt_vec2.__index:validate()
assert(type(self.x) == "number")
assert(type(self.y) == "number")
return self
end
function mt_vec2.__index:round()
return vec2(math.round(self.x), math.round(self.y))
end
function mt_vec2.__index:manhattan()
return math.abs(self.x) + math.abs(self.y)
end
function mt_vec2.__index:volume()
return self.x * self.y
end
function mt_vec2.__index:dot(other)
return self.x * other.x + self.y * other.y
end
function mt_vec2.__index:norm()
return self / #self
end
function vec2(a, b)
local o = {}
if type(a) == "number" then
o.x = a
o.y = b or a
else
o.x = a.x
o.y = a.y
end
setmetatable(o, mt_vec2)
return o:validate()
end
-- vec3
local mt_vec3 = arith_mt(function(op)
return [[
if type(b) == "number" then
return vec3(a.x ]] .. op.. [[ b, a.y ]] .. op .. [[ b, a.z ]] .. op .. [[ b)
else
return vec3(a.x ]] .. op.. [[ b.x, a.y ]] .. op.. [[ b.y, a.z ]] .. op.. [[ b.z)
end
]]
end)
function mt_vec3:__neg()
return vec3(-self.x, -self.y, -self.z)
end
function mt_vec3:__len()
return math.sqrt(self:dot(self))
end
function mt_vec3:__eq(other)
return type(other) == "table" and self.x == other.x and self.y == other.y and self.z == other.z
end
function mt_vec3:__tostring()
return "(" .. self.x .. ", " .. self.y .. ", " .. self.z .. ")"
end
function mt_vec3.__index:validate()
assert(type(self.x) == "number")
assert(type(self.y) == "number")
assert(type(self.z) == "number")
return self
end
function mt_vec3.__index:round()
return vec3(math.floor(self.x), math.floor(self.y), math.floor(self.z))
end
function mt_vec3.__index:manhattan()
return math.abs(self.x) + math.abs(self.y) + math.abs(self.z)
end
function mt_vec3.__index:volume()
return self.x * self.y * self.z
end
function mt_vec3.__index:dot(other)
return self.x * other.x + self.y * other.y + self.z * other.z
end
function mt_vec3.__index:cross(other)
return vec3(
self.y * other.z - self.z * other.y,
self.z * other.x - self.x * other.z,
self.x * other.y - self.y * other.x
)
end
function mt_vec3.__index:norm()
return self / #self
end
function vec3(a, b, c)
local o = {}
if type(a) == "number" then
o.x = a
o.y = b or a
o.z = c or a
else
o.x = a.x
o.y = a.y
o.z = a.z
end
setmetatable(o, mt_vec3)
return o:validate()
end
-- box
local mt_box = arith_mt(function(op)
return "return box(a.min " .. op .. " b, a.max " .. op .. " b)"
end)
function mt_box:__neg()
return box(-self.min, -self.max)
end
function mt_box:__eq(other)
return self.min == other.min and self.max == other.max
end
function mt_box:__tostring()
return "[" .. self.min .. "; " .. self.max .. "]"
end
function mt_box.__index:validate()
if type(self.min) == "number" then
assert(type(self.max) == "number")
else
assert(not self.min.z == not self.max.z)
self.min:validate()
self.max:validate()
end
end
function mt_box.__index:volume()
local diff = self.max - self.min
if type(diff) == "number" then
return diff
else
return diff:volume()
end
end
function mt_box.__index:contains(other)
if type(other) == "number" or other.x then
return self.min <= other and self.max >= other
else
return self.min <= other.min and self.max >= other.max
end
end
function box(a, b)
local o = {}
if type(a) == "number" or a.x then
o.min = a
o.max = b
else
o.min = a.min
o.max = a.max
end
setmetatable(o, mt_box)
return o:validate()
end
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