--[[ BrineVector3D3D: a luajit ffi-accelerated vector library for 3D (x,y,z) 3D SUPPORT implemented by: Brandon Blanker Lim-it @flamendless ORIGINAL Brinevector lib by: Copyright 2018 Brian Sarfati Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. --]] local ffi = require "ffi" ffi.cdef[[ typedef struct { float x; float y; float z; } brinevector3D; ]] local Vector3D = {} setmetatable(Vector3D,Vector3D) function Vector3D.__index(t, k) if k == "length" then return Vector3D.getLength(t) elseif k == "normalized" then return Vector3D.getNormalized(t) elseif k == "angle" then return Vector3D.getAngle(t) elseif k == "length2" then return Vector3D.getLengthSquared(t) end return rawget(Vector3D,k) end function Vector3D.getLength(v) return math.sqrt(v.x * v.x + v.y * v.y + v.z * v.z) end function Vector3D.getLengthSquared(v) return v.x*v.x + v.y*v.y + v.z*v.z end function Vector3D.getNormalized(v) local length = v.length if length == 0 then return Vector3D(0,0,0) end return Vector3D(v.x / length, v.y / length, v.z/length) end function Vector3D.getAngle(v) return math.atan2(v.y, v.x, v/z) end function Vector3D.clone(v) return Vector3D(v.x, v.y, v.z) end function Vector3D.__newindex(t,k,v) if k == "length" then local res = t.normalized * v t.x = res.x t.y = res.y t.z = res.z return end if k == "angle" then local res = t:angled(v) t.x = res.x t.y = res.y t.z = res.z return end if type(t) == "cdata" then error("Cannot assign a new property '" .. k .. "' to a Vector3D") else rawset(t,k,v) end end function Vector3D.angled(v, angle) local length = v.length return Vector3D(math.cos(angle) * length, math.sin(angle) * length, math.tan(angle) * length) end function Vector3D.trim(v,mag) if v.length < mag then return v end return v.normalized * mag end function Vector3D.split(v) return v.x, v.y, v.z end function Vector3D.hadamard(v1, v2) -- also known as "Componentwise multiplication" return Vector3D(v1.x * v2.x, v1.y * v2.y, v1.z * v2.z) end local iteraxes_lookup = { xy = {"x","y"}, yx = {"y","x"}, xz = {"x","z"}, zx = {"z","x"}, yz = {"y", "z"}, zy = {"z","y"} } local function iteraxes(ordertable, i) i = i + 1 if i > 2 then return nil end return i, ordertable[i] end function Vector3D.axes(order) return iteraxes, iteraxes_lookup[order or "yx"], 0 end function Vector3D.isVector(arg) return ffi.istype("brinevector3D",arg) end function Vector3D.__add(v1, v2) return Vector3D(v1.x + v2.x, v1.y + v2.y, v1.z + v2.z) end function Vector3D.__sub(v1, v2) return Vector3D(v1.x - v2.x, v1.y - v2.y, v1.z - v2.z) end function Vector3D.__mul(v1, op) -- acts as a dot multiplication if op is a vector -- if op is a scalar then works as usual if type(v1) == "number" then return Vector3D(op.x * v1, op.y * v1, op.z * v1) end if type(op) == "cdata" then return v1.x * op.x + v1.y * op.y + v1.z * op.z else return Vector3D(v1.x * op, v1.y * op, v1.z * op) end end function Vector3D.__div(v1, op) if type(op) ~= "number" then error("must divide by a scalar") end return Vector3D(v1.x / op, v1.y / op, v1.z / op) end function Vector3D.__unm(v) return Vector3D(-v.x, -v.y, -v.z) end function Vector3D.__eq(v1,v2) if (not ffi.istype("brinevector3D",v2)) or (not ffi.istype("brinevector3D",v1)) then return false end return v1.x == v2.x and v1.y == v2.y and v1.z == v2.z end function Vector3D.__mod(v1,v2) -- ran out of symbols, so i chose % for the hadamard product return Vector3D(v1.x * v2.x, v1.y * v2.y, v1.z * v2.z) end function Vector3D.__tostring(t) return string.format("Vector3D{%.4f,%.4f,%.4f}",t.x,t.y,t.z) end function Vector3D.__concat(v1, v2) return v1 .. tostring(v2) end function Vector3D.__call(t,x,y,z) return ffi.new("brinevector3D",x or 0,y or 0, z or 0) end ffi.metatype("brinevector3D",Vector3D) return Vector3D