diff --git a/src/api/math.lua b/src/api/math.lua
index 17a978d5..69329669 100644
--- a/src/api/math.lua
+++ b/src/api/math.lua
@@ -25,6 +25,7 @@ ffi.cdef [[
 
   vec3* vec3_normalize(vec3* v);
   float vec3_length(vec3* v);
+  float vec3_distance(vec3* v, vec3* u);
   vec3* vec3_cross(vec3* v, vec3* u);
   vec3* vec3_lerp(vec3* v, vec3* u, float t);
 
@@ -114,6 +115,56 @@ ffi.metatype(vec3, {
       return vec3(v:unpack())
     end,
 
+    add = function(v, u)
+      checkvec3(v)
+      checkvec3(u, 1)
+      v.x = v.x + u.x
+      v.y = v.y + u.y
+      v.z = v.z + u.z
+      return v
+    end,
+
+    sub = function(v, u)
+      checkvec3(v)
+      checkvec3(u, 1)
+      v.x = v.x - u.x
+      v.y = v.y - u.y
+      v.z = v.z - u.z
+      return v
+    end,
+
+    mul = function(v, u)
+      checkvec3(v)
+      if type(u) == 'number' then
+        v.x = v.x * u
+        v.y = v.y * u
+        v.z = v.z * u
+        return v
+      else
+        checkvec3(u, 1)
+        v.x = v.x * u.x
+        v.y = v.y * u.y
+        v.z = v.z * u.z
+        return v
+      end
+    end,
+
+    div = function(v, u)
+      checkvec3(v)
+      if type(u) == 'number' then
+        v.x = v.x / u
+        v.y = v.y / u
+        v.z = v.z / u
+        return v
+      else
+        checkvec3(u, 1)
+        v.x = v.x / u.x
+        v.y = v.y / u.y
+        v.z = v.z / u.z
+        return v
+      end
+    end,
+
     length = function(v)
       checkvec3(v)
       return C.vec3_length(v)
@@ -125,31 +176,73 @@ ffi.metatype(vec3, {
       return v
     end,
 
+    distance = function(v, u)
+      checkvec3(v)
+      checkvec3(u, 1)
+      return C.vec3_distance(v, u)
+    end,
+
     dot = function(v, u)
       checkvec3(v)
-      checkvec3(u)
+      checkvec3(u, 1)
       return v.x * u.x + v.y * u.y + v.z * u.z
     end,
 
     cross = function(v, u)
       checkvec3(v)
-      checkvec3(u)
+      checkvec3(u, 1)
       C.vec3_cross(v, u)
       return v
     end,
 
     lerp = function(v, u, t)
       checkvec3(v)
-      checkvec3(u)
+      checkvec3(u, 1)
       C.vec3_lerp(v, u, t)
       return v
     end
   },
 
-  __add = function(v, u) return math.vec3(v.x + u.x, v.y + u.y, v.z + u.z) end,
-  __sub = function(v, u) return math.vec3(v.x - u.x, v.y - u.y, v.z - u.z) end,
-  __mul = function(v, u) return math.vec3(v.x * u.x, v.y * u.y, v.z * u.z) end,
-  __div = function(v, u) return math.vec3(v.x / u.x, v.y / u.y, v.z / u.z) end,
+  __add = function(v, u)
+    checkvec3(v, 1)
+    checkvec3(u, 2)
+    return math.vec3(v.x + u.x, v.y + u.y, v.z + u.z)
+  end,
+
+  __sub = function(v, u)
+    checkvec3(v, 1)
+    checkvec3(u, 2)
+    return math.vec3(v.x - u.x, v.y - u.y, v.z - u.z)
+  end,
+
+  __mul = function(v, u)
+    if type(v) == 'number' then
+      checkvec3(u, 2)
+      return math.vec3(v * u.x, v * u.y, v * u.z)
+    elseif type(u) == 'number' then
+      checkvec3(v, 1)
+      return math.vec3(v.x * u, v.y * u, v.z * u)
+    else
+      checkvec3(v, 1)
+      checkvec3(u, 2, 'vec3 or number')
+      return math.vec3(v.x * u.x, v.y * u.y, v.z * u.z)
+    end
+  end,
+
+  __div = function(v, u)
+    if type(v) == 'number' then
+      checkvec3(u, 2)
+      return math.vec3(v / u.x, v / u.y, v / u.z)
+    elseif type(u) == 'number' then
+      checkvec3(v, 1)
+      return math.vec3(v.x / u, v.y / u, v.z / u)
+    else
+      checkvec3(v, 1)
+      checkvec3(u, 'vec3 or number')
+      return math.vec3(v.x / u.x, v.y / u.y, v.z / u.z)
+    end
+  end,
+
   __unm = function(v) return math.vec3(-v.x, -v.y, -v.z) end,
   __len = function(v) return C.vec3_length(v) end,
   __tostring = function(v) return string.format('(%f, %f, %f)', v.x, v.y, v.z) end
@@ -180,7 +273,7 @@ ffi.metatype(quat, {
             C.quat_fromAngleAxis(q, x, y, z, w)
           end
         else
-          local axis = checkvec3(y)
+          local axis = checkvec3(y, 2)
           C.quat_fromAngleAxis(q, x, y.x, y.y, y.z)
         end
       elseif istype(vec3, x) then
@@ -194,8 +287,6 @@ ffi.metatype(quat, {
         q.x, q.y, q.z, q.w = x.x, x.y, x.z, x.w
       elseif istype(mat4, x) then
         C.quat_fromMat4(q, x)
-      else
-        error('Expected a vec3, quat, mat4, or number')
       end
       return q
     end,
@@ -213,6 +304,18 @@ ffi.metatype(quat, {
       return quat(quat, q:unpack())
     end,
 
+    mul = function(q, r)
+      checkquat(q)
+      if istype(vec3, r) then
+        C.quat_rotate(q, r)
+        return r
+      else
+        checkquat(r, 1, 'vec3 or quat')
+        C.quat_mul(q, r)
+        return q
+      end
+    end,
+
     normalize = function(q)
       checkquat(q)
       C.quat_normalize(q)
@@ -220,22 +323,20 @@ ffi.metatype(quat, {
 
     slerp = function(q, r, t)
       checkquat(q)
-      checkquat(r)
+      checkquat(r, 1)
       C.quat_slerp(q, r, t)
     end
   },
 
   __mul = function(q, r)
-    checkquat(q)
+    checkquat(q, 1)
     if istype(vec3, r) then
       local v = math.vec3(r)
       C.quat_rotate(q, v)
       return v
     else
-      checkquat(r, 'Expected a vec3 or quat')
-      local out = math.quat()
-      C.quat_mul(C.quat_init(out, q), r)
-      return out
+      checkquat(r, 2, 'vec3 or quat')
+      return C.quat_mul(math.quat(q), r)
     end
   end,
 
@@ -370,13 +471,13 @@ ffi.metatype(mat4, {
   },
 
   __mul = function(m, n)
-    checkmat4(m)
+    checkmat4(m, 1)
     if istype(mat4, n) then
       local out = math.mat4(m)
       C.mat4_multiply(out, n)
       return out
     else
-      checkvec3(n, 1, 'mat4 or vec3')
+      checkvec3(n, 2, 'mat4 or vec3')
       local f = new('float[3]', n.x, n.y, n.z)
       C.mat4_transform(m, f + 0, f + 1, f + 2)
       return math.vec3(f[0], f[1], f[2])
diff --git a/src/api/math.lua.h b/src/api/math.lua.h
index 66310706..d26c7b0e 100644
--- a/src/api/math.lua.h
+++ b/src/api/math.lua.h
@@ -73,826 +73,985 @@ unsigned char math_lua[] = {
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+  0x6f, 0x63, 0x61, 0x6c, 0x20, 0x66, 0x20, 0x3d, 0x20, 0x6e, 0x65, 0x77,
+  0x28, 0x27, 0x66, 0x6c, 0x6f, 0x61, 0x74, 0x5b, 0x33, 0x5d, 0x27, 0x2c,
+  0x20, 0x78, 0x2c, 0x20, 0x79, 0x2c, 0x20, 0x7a, 0x29, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x43, 0x2e, 0x6d, 0x61, 0x74, 0x34, 0x5f, 0x74,
+  0x72, 0x61, 0x6e, 0x73, 0x66, 0x6f, 0x72, 0x6d, 0x28, 0x6d, 0x2c, 0x20,
+  0x66, 0x20, 0x2b, 0x20, 0x30, 0x2c, 0x20, 0x66, 0x20, 0x2b, 0x20, 0x31,
+  0x2c, 0x20, 0x66, 0x20, 0x2b, 0x20, 0x32, 0x29, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x72, 0x65, 0x74, 0x75, 0x72, 0x6e, 0x20, 0x66, 0x5b,
+  0x30, 0x5d, 0x2c, 0x20, 0x66, 0x5b, 0x31, 0x5d, 0x2c, 0x20, 0x66, 0x5b,
+  0x32, 0x5d, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x65, 0x6e, 0x64, 0x2c, 0x0a,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x70, 0x65, 0x72, 0x73, 0x70, 0x65, 0x63,
+  0x74, 0x69, 0x76, 0x65, 0x20, 0x3d, 0x20, 0x66, 0x75, 0x6e, 0x63, 0x74,
+  0x69, 0x6f, 0x6e, 0x28, 0x6d, 0x2c, 0x20, 0x6e, 0x65, 0x61, 0x72, 0x2c,
+  0x20, 0x66, 0x61, 0x72, 0x2c, 0x20, 0x66, 0x6f, 0x76, 0x2c, 0x20, 0x61,
+  0x73, 0x70, 0x65, 0x63, 0x74, 0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x20, 0x63, 0x68, 0x65, 0x63, 0x6b, 0x6d, 0x61, 0x74, 0x34, 0x28, 0x6d,
+  0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x43, 0x2e, 0x6d, 0x61,
+  0x74, 0x34, 0x5f, 0x70, 0x65, 0x72, 0x73, 0x70, 0x65, 0x63, 0x74, 0x69,
+  0x76, 0x65, 0x28, 0x6d, 0x2c, 0x20, 0x6e, 0x65, 0x61, 0x72, 0x2c, 0x20,
+  0x66, 0x61, 0x72, 0x2c, 0x20, 0x66, 0x6f, 0x76, 0x2c, 0x20, 0x61, 0x73,
+  0x70, 0x65, 0x63, 0x74, 0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20,
+  0x72, 0x65, 0x74, 0x75, 0x72, 0x6e, 0x20, 0x6d, 0x0a, 0x20, 0x20, 0x20,
+  0x20, 0x65, 0x6e, 0x64, 0x2c, 0x0a, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x6f,
+  0x72, 0x74, 0x68, 0x6f, 0x67, 0x72, 0x61, 0x70, 0x68, 0x69, 0x63, 0x20,
+  0x3d, 0x20, 0x66, 0x75, 0x6e, 0x63, 0x74, 0x69, 0x6f, 0x6e, 0x28, 0x6d,
+  0x2c, 0x20, 0x6c, 0x65, 0x66, 0x74, 0x2c, 0x20, 0x72, 0x69, 0x67, 0x68,
+  0x74, 0x2c, 0x20, 0x74, 0x6f, 0x70, 0x2c, 0x20, 0x62, 0x6f, 0x74, 0x74,
+  0x6f, 0x6d, 0x2c, 0x20, 0x6e, 0x65, 0x61, 0x72, 0x2c, 0x20, 0x66, 0x61,
+  0x72, 0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63, 0x68, 0x65,
+  0x63, 0x6b, 0x6d, 0x61, 0x74, 0x34, 0x28, 0x6d, 0x29, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x43, 0x2e, 0x6d, 0x61, 0x74, 0x34, 0x5f, 0x6f,
+  0x72, 0x74, 0x68, 0x6f, 0x67, 0x72, 0x61, 0x70, 0x68, 0x69, 0x63, 0x28,
+  0x6d, 0x2c, 0x20, 0x6c, 0x65, 0x66, 0x74, 0x2c, 0x20, 0x72, 0x69, 0x67,
+  0x68, 0x74, 0x2c, 0x20, 0x74, 0x6f, 0x70, 0x2c, 0x20, 0x62, 0x6f, 0x74,
+  0x74, 0x6f, 0x6d, 0x2c, 0x20, 0x6e, 0x65, 0x61, 0x72, 0x2c, 0x20, 0x66,
+  0x61, 0x72, 0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x72, 0x65,
+  0x74, 0x75, 0x72, 0x6e, 0x20, 0x6d, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x65,
+  0x6e, 0x64, 0x0a, 0x20, 0x20, 0x7d, 0x2c, 0x0a, 0x0a, 0x20, 0x20, 0x5f,
+  0x5f, 0x6d, 0x75, 0x6c, 0x20, 0x3d, 0x20, 0x66, 0x75, 0x6e, 0x63, 0x74,
+  0x69, 0x6f, 0x6e, 0x28, 0x6d, 0x2c, 0x20, 0x6e, 0x29, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x63, 0x68, 0x65, 0x63, 0x6b, 0x6d, 0x61, 0x74, 0x34, 0x28,
+  0x6d, 0x2c, 0x20, 0x31, 0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x69, 0x66,
+  0x20, 0x69, 0x73, 0x74, 0x79, 0x70, 0x65, 0x28, 0x6d, 0x61, 0x74, 0x34,
+  0x2c, 0x20, 0x6e, 0x29, 0x20, 0x74, 0x68, 0x65, 0x6e, 0x0a, 0x20, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x63, 0x61, 0x6c, 0x20, 0x6f, 0x75,
+  0x74, 0x20, 0x3d, 0x20, 0x6d, 0x61, 0x74, 0x68, 0x2e, 0x6d, 0x61, 0x74,
+  0x34, 0x28, 0x6d, 0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x43,
+  0x2e, 0x6d, 0x61, 0x74, 0x34, 0x5f, 0x6d, 0x75, 0x6c, 0x74, 0x69, 0x70,
+  0x6c, 0x79, 0x28, 0x6f, 0x75, 0x74, 0x2c, 0x20, 0x6e, 0x29, 0x0a, 0x20,
+  0x20, 0x20, 0x20, 0x20, 0x20, 0x72, 0x65, 0x74, 0x75, 0x72, 0x6e, 0x20,
+  0x6f, 0x75, 0x74, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x65, 0x6c, 0x73, 0x65,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x63, 0x68, 0x65, 0x63, 0x6b,
+  0x76, 0x65, 0x63, 0x33, 0x28, 0x6e, 0x2c, 0x20, 0x32, 0x2c, 0x20, 0x27,
+  0x6d, 0x61, 0x74, 0x34, 0x20, 0x6f, 0x72, 0x20, 0x76, 0x65, 0x63, 0x33,
+  0x27, 0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x6c, 0x6f, 0x63,
+  0x61, 0x6c, 0x20, 0x66, 0x20, 0x3d, 0x20, 0x6e, 0x65, 0x77, 0x28, 0x27,
+  0x66, 0x6c, 0x6f, 0x61, 0x74, 0x5b, 0x33, 0x5d, 0x27, 0x2c, 0x20, 0x6e,
+  0x2e, 0x78, 0x2c, 0x20, 0x6e, 0x2e, 0x79, 0x2c, 0x20, 0x6e, 0x2e, 0x7a,
+  0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x43, 0x2e, 0x6d, 0x61,
+  0x74, 0x34, 0x5f, 0x74, 0x72, 0x61, 0x6e, 0x73, 0x66, 0x6f, 0x72, 0x6d,
+  0x28, 0x6d, 0x2c, 0x20, 0x66, 0x20, 0x2b, 0x20, 0x30, 0x2c, 0x20, 0x66,
+  0x20, 0x2b, 0x20, 0x31, 0x2c, 0x20, 0x66, 0x20, 0x2b, 0x20, 0x32, 0x29,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x20, 0x20, 0x72, 0x65, 0x74, 0x75, 0x72,
+  0x6e, 0x20, 0x6d, 0x61, 0x74, 0x68, 0x2e, 0x76, 0x65, 0x63, 0x33, 0x28,
+  0x66, 0x5b, 0x30, 0x5d, 0x2c, 0x20, 0x66, 0x5b, 0x31, 0x5d, 0x2c, 0x20,
+  0x66, 0x5b, 0x32, 0x5d, 0x29, 0x0a, 0x20, 0x20, 0x20, 0x20, 0x65, 0x6e,
+  0x64, 0x0a, 0x20, 0x20, 0x65, 0x6e, 0x64, 0x2c, 0x0a, 0x0a, 0x20, 0x20,
+  0x5f, 0x5f, 0x74, 0x6f, 0x73, 0x74, 0x72, 0x69, 0x6e, 0x67, 0x20, 0x3d,
+  0x20, 0x66, 0x75, 0x6e, 0x63, 0x74, 0x69, 0x6f, 0x6e, 0x28, 0x6d, 0x29,
+  0x0a, 0x20, 0x20, 0x20, 0x20, 0x72, 0x65, 0x74, 0x75, 0x72, 0x6e, 0x20,
+  0x27, 0x6d, 0x61, 0x74, 0x34, 0x27, 0x0a, 0x20, 0x20, 0x65, 0x6e, 0x64,
+  0x0a, 0x7d, 0x29, 0x0a
 };
-unsigned int math_lua_len = 10737;
+unsigned int math_lua_len = 12640;
diff --git a/src/api/types/quat.c b/src/api/types/quat.c
index 1f5952d8..16832613 100644
--- a/src/api/types/quat.c
+++ b/src/api/types/quat.c
@@ -121,6 +121,21 @@ static int l_lovrQuatSave(lua_State* L) {
   return 1;
 }
 
+static int l_lovrQuatMul(lua_State* L) {
+  quat q = luax_checkmathtype(L, 1, MATH_QUAT, NULL);
+  MathType type;
+  float* r = luax_tomathtype(L, 2, &type);
+  if (!r) return luaL_typerror(L, 2, "quat or vec3");
+  if (type == MATH_VEC3) {
+    quat_rotate(q, r);
+    lua_settop(L, 2);
+  } else {
+    quat_mul(q, r);
+    lua_settop(L, 1);
+  }
+  return 1;
+}
+
 static int l_lovrQuatNormalize(lua_State* L) {
   quat q = luax_checkmathtype(L, 1, MATH_QUAT, NULL);
   quat_normalize(q);
@@ -141,6 +156,7 @@ static int l_lovrQuat__mul(lua_State* L) {
   quat q = luax_checkmathtype(L, 1, MATH_QUAT, NULL);
   MathType type;
   float* r = luax_tomathtype(L, 2, &type);
+  if (!r) return luaL_typerror(L, 2, "quat or vec3");
   if (type == MATH_VEC3) {
     vec3 out = lovrPoolAllocate(lovrMathGetPool(), MATH_VEC3);
     quat_rotate(q, vec3_init(out, r));
@@ -170,6 +186,7 @@ const luaL_Reg lovrQuat[] = {
   { "set", l_lovrQuatSet },
   { "copy", l_lovrQuatCopy },
   { "save", l_lovrQuatSave },
+  { "mul", l_lovrQuatMul },
   { "normalize", l_lovrQuatNormalize },
   { "slerp", l_lovrQuatSlerp },
   { "__mul", l_lovrQuat__mul },
diff --git a/src/api/types/vec3.c b/src/api/types/vec3.c
index 0e2960c2..921d6774 100644
--- a/src/api/types/vec3.c
+++ b/src/api/types/vec3.c
@@ -98,6 +98,46 @@ static int l_lovrVec3Save(lua_State* L) {
   return 1;
 }
 
+static int l_lovrVec3Add(lua_State* L) {
+  vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
+  vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, NULL);
+  vec3_add(v, u);
+  lua_settop(L, 1);
+  return 1;
+}
+
+static int l_lovrVec3Sub(lua_State* L) {
+  vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
+  vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, NULL);
+  vec3_sub(v, u);
+  lua_settop(L, 1);
+  return 1;
+}
+
+static int l_lovrVec3Mul(lua_State* L) {
+  vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
+  if (lua_type(L, 2) == LUA_TNUMBER) {
+    vec3_scale(v, lua_tonumber(L, 2));
+  } else {
+    vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, "vec3 or number");
+    v[0] = v[0] * u[0], v[1] = v[1] * u[1], v[2] = v[2] * u[2];
+  }
+  lua_settop(L, 1);
+  return 1;
+}
+
+static int l_lovrVec3Div(lua_State* L) {
+  vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
+  if (lua_type(L, 2) == LUA_TNUMBER) {
+    vec3_scale(v, 1.f / (float) lua_tonumber(L, 2));
+  } else {
+    vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, "vec3 or number");
+    v[0] = v[0] / u[0], v[1] = v[1] / u[1], v[2] = v[2] / u[2];
+  }
+  lua_settop(L, 1);
+  return 1;
+}
+
 static int l_lovrVec3Length(lua_State* L) {
   vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
   lua_pushnumber(L, vec3_length(v));
@@ -111,6 +151,13 @@ static int l_lovrVec3Normalize(lua_State* L) {
   return 1;
 }
 
+static int l_lovrVec3Distance(lua_State* L) {
+  vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
+  vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, NULL);
+  lua_pushnumber(L, vec3_distance(v, u));
+  return 1;
+}
+
 static int l_lovrVec3Dot(lua_State* L) {
   vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
   vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, NULL);
@@ -139,7 +186,7 @@ static int l_lovrVec3__add(lua_State* L) {
   vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
   vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, NULL);
   vec3 out = lovrPoolAllocate(lovrMathGetPool(), MATH_VEC3);
-  out[0] = v[0] + u[0], out[1] = v[1] + u[1], out[2] = v[2] + u[2];
+  vec3_add(vec3_init(out, v), u);
   luax_pushlightmathtype(L, out, MATH_VEC3);
   return 1;
 }
@@ -148,17 +195,21 @@ static int l_lovrVec3__sub(lua_State* L) {
   vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
   vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, NULL);
   vec3 out = lovrPoolAllocate(lovrMathGetPool(), MATH_VEC3);
-  out[0] = v[0] - u[0], out[1] = v[1] - u[1], out[2] = v[2] - u[2];
+  vec3_sub(vec3_init(out, v), u);
   luax_pushlightmathtype(L, out, MATH_VEC3);
   return 1;
 }
 
 static int l_lovrVec3__mul(lua_State* L) {
-  vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
   vec3 out = lovrPoolAllocate(lovrMathGetPool(), MATH_VEC3);
-  if (lua_type(L, 2) == LUA_TNUMBER) {
+  if (lua_type(L, 1) == LUA_TNUMBER) {
+    vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, NULL);
+    vec3_scale(vec3_init(out, u), lua_tonumber(L, 1));
+  } else if (lua_type(L, 2) == LUA_TNUMBER) {
+    vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
     vec3_scale(vec3_init(out, v), lua_tonumber(L, 2));
   } else {
+    vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
     vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, "vec3 or number");
     out[0] = v[0] * u[0], out[1] = v[1] * u[1], out[2] = v[2] * u[2];
   }
@@ -167,11 +218,15 @@ static int l_lovrVec3__mul(lua_State* L) {
 }
 
 static int l_lovrVec3__div(lua_State* L) {
-  vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
   vec3 out = lovrPoolAllocate(lovrMathGetPool(), MATH_VEC3);
-  if (lua_type(L, 2) == LUA_TNUMBER) {
-    vec3_scale(vec3_init(out, v), 1 / lua_tonumber(L, 2));
+  if (lua_type(L, 1) == LUA_TNUMBER) {
+    vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, NULL);
+    vec3_scale(vec3_init(out, u), 1. / lua_tonumber(L, 1));
+  } else if (lua_type(L, 2) == LUA_TNUMBER) {
+    vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
+    vec3_scale(vec3_init(out, v), 1. / lua_tonumber(L, 2));
   } else {
+    vec3 v = luax_checkmathtype(L, 1, MATH_VEC3, NULL);
     vec3 u = luax_checkmathtype(L, 2, MATH_VEC3, "vec3 or number");
     out[0] = v[0] / u[0], out[1] = v[1] / u[1], out[2] = v[2] / u[2];
   }
@@ -204,8 +259,13 @@ const luaL_Reg lovrVec3[] = {
   { "set", l_lovrVec3Set },
   { "copy", l_lovrVec3Copy },
   { "save", l_lovrVec3Save },
+  { "add", l_lovrVec3Add },
+  { "sub", l_lovrVec3Sub },
+  { "mul", l_lovrVec3Mul },
+  { "div", l_lovrVec3Div },
   { "length", l_lovrVec3Length },
   { "normalize", l_lovrVec3Normalize },
+  { "distance", l_lovrVec3Distance },
   { "dot", l_lovrVec3Dot },
   { "cross", l_lovrVec3Cross },
   { "lerp", l_lovrVec3Lerp },
diff --git a/src/lib/math.c b/src/lib/math.c
index 0078a2e1..743f7542 100644
--- a/src/lib/math.c
+++ b/src/lib/math.c
@@ -26,6 +26,13 @@ vec3 vec3_add(vec3 v, vec3 u) {
   return v;
 }
 
+vec3 vec3_sub(vec3 v, vec3 u) {
+  v[0] -= u[0];
+  v[1] -= u[1];
+  v[2] -= u[2];
+  return v;
+}
+
 vec3 vec3_scale(vec3 v, float s) {
   v[0] *= s;
   v[1] *= s;
@@ -42,6 +49,13 @@ float vec3_length(vec3 v) {
   return sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]);
 }
 
+float vec3_distance(vec3 v, vec3 u) {
+  float dx = v[0] - u[0];
+  float dy = v[1] - u[1];
+  float dz = v[2] - u[2];
+  return sqrt(dx * dx + dy * dy + dz * dz);
+}
+
 float vec3_dot(vec3 v, vec3 u) {
   return v[0] * u[0] + v[1] * u[1] + v[2] * u[2];
 }
diff --git a/src/lib/math.h b/src/lib/math.h
index 7f03a19e..0d1f261b 100644
--- a/src/lib/math.h
+++ b/src/lib/math.h
@@ -2,59 +2,67 @@
 
 #pragma once
 
+#ifdef _WIN32
+#define MAF_EXPORT __declspec(dllexport)
+#else
+#define MAF_EXPORT
+#endif
+
 typedef float* vec3;
 typedef float* quat;
 typedef float* mat4;
 
 // vec3
-LOVR_EXPORT vec3 vec3_init(vec3 v, vec3 u);
-LOVR_EXPORT vec3 vec3_set(vec3 v, float x, float y, float z);
-LOVR_EXPORT vec3 vec3_add(vec3 v, vec3 u);
-LOVR_EXPORT vec3 vec3_scale(vec3 v, float s);
-LOVR_EXPORT vec3 vec3_normalize(vec3 v);
-LOVR_EXPORT float vec3_length(vec3 v);
-LOVR_EXPORT float vec3_dot(vec3 v, vec3 u);
-LOVR_EXPORT vec3 vec3_cross(vec3 v, vec3 u);
-LOVR_EXPORT vec3 vec3_lerp(vec3 v, vec3 u, float t);
+MAF_EXPORT vec3 vec3_init(vec3 v, vec3 u);
+MAF_EXPORT vec3 vec3_set(vec3 v, float x, float y, float z);
+MAF_EXPORT vec3 vec3_add(vec3 v, vec3 u);
+MAF_EXPORT vec3 vec3_sub(vec3 v, vec3 u);
+MAF_EXPORT vec3 vec3_scale(vec3 v, float s);
+MAF_EXPORT vec3 vec3_normalize(vec3 v);
+MAF_EXPORT float vec3_length(vec3 v);
+MAF_EXPORT float vec3_distance(vec3 v, vec3 u);
+MAF_EXPORT float vec3_dot(vec3 v, vec3 u);
+MAF_EXPORT vec3 vec3_cross(vec3 v, vec3 u);
+MAF_EXPORT vec3 vec3_lerp(vec3 v, vec3 u, float t);
 
 // quat
-LOVR_EXPORT quat quat_init(quat q, quat r);
-LOVR_EXPORT quat quat_set(quat q, float x, float y, float z, float w);
-LOVR_EXPORT quat quat_fromAngleAxis(quat q, float angle, float ax, float ay, float az);
-LOVR_EXPORT quat quat_fromMat4(quat q, mat4 m);
-LOVR_EXPORT quat quat_mul(quat q, quat r);
-LOVR_EXPORT quat quat_normalize(quat q);
-LOVR_EXPORT float quat_length(quat q);
-LOVR_EXPORT quat quat_slerp(quat q, quat r, float t);
-LOVR_EXPORT void quat_rotate(quat q, vec3 v);
-LOVR_EXPORT void quat_getAngleAxis(quat q, float* angle, float* x, float* y, float* z);
-LOVR_EXPORT quat quat_between(quat q, vec3 u, vec3 v);
+MAF_EXPORT quat quat_init(quat q, quat r);
+MAF_EXPORT quat quat_set(quat q, float x, float y, float z, float w);
+MAF_EXPORT quat quat_fromAngleAxis(quat q, float angle, float ax, float ay, float az);
+MAF_EXPORT quat quat_fromMat4(quat q, mat4 m);
+MAF_EXPORT quat quat_mul(quat q, quat r);
+MAF_EXPORT quat quat_normalize(quat q);
+MAF_EXPORT float quat_length(quat q);
+MAF_EXPORT quat quat_slerp(quat q, quat r, float t);
+MAF_EXPORT void quat_rotate(quat q, vec3 v);
+MAF_EXPORT void quat_getAngleAxis(quat q, float* angle, float* x, float* y, float* z);
+MAF_EXPORT quat quat_between(quat q, vec3 u, vec3 v);
 
 // mat4
 #define MAT4_IDENTITY { 1, 0, 0, 0,  0, 1, 0, 0,  0, 0, 1, 0,  0, 0, 0, 1 }
 #define mat4_init mat4_set
-LOVR_EXPORT mat4 mat4_set(mat4 m, mat4 n);
-LOVR_EXPORT mat4 mat4_fromMat34(mat4 m, float (*n)[4]);
-LOVR_EXPORT mat4 mat4_fromMat44(mat4 m, float (*n)[4]);
-LOVR_EXPORT mat4 mat4_identity(mat4 m);
-LOVR_EXPORT mat4 mat4_invert(mat4 m);
-LOVR_EXPORT mat4 mat4_transpose(mat4 m);
-LOVR_EXPORT mat4 mat4_multiply(mat4 m, mat4 n);
-LOVR_EXPORT mat4 mat4_translate(mat4 m, float x, float y, float z);
-LOVR_EXPORT mat4 mat4_rotate(mat4 m, float angle, float x, float y, float z);
-LOVR_EXPORT mat4 mat4_rotateQuat(mat4 m, quat q);
-LOVR_EXPORT mat4 mat4_scale(mat4 m, float x, float y, float z);
-LOVR_EXPORT void mat4_getPose(mat4 m, float* x, float* y, float* z, float* angle, float* ax, float* ay, float* az);
-LOVR_EXPORT void mat4_getTransform(mat4 m, float* x, float* y, float* z, float* sx, float* sy, float* sz, float* angle, float* ax, float* ay, float* az);
-LOVR_EXPORT mat4 mat4_setTransform(mat4 m, float x, float y, float z, float sx, float sy, float sz, float angle, float ax, float ay, float az);
-LOVR_EXPORT mat4 mat4_orthographic(mat4 m, float left, float right, float top, float bottom, float near, float far);
-LOVR_EXPORT mat4 mat4_perspective(mat4 m, float near, float far, float fov, float aspect);
-LOVR_EXPORT mat4 mat4_lookAt(mat4 m, vec3 from, vec3 to, vec3 up);
-LOVR_EXPORT void mat4_transform(mat4 m, float* x, float* y, float* z);
-LOVR_EXPORT void mat4_transformDirection(mat4 m, float* x, float* y, float* z);
+MAF_EXPORT mat4 mat4_set(mat4 m, mat4 n);
+MAF_EXPORT mat4 mat4_fromMat34(mat4 m, float (*n)[4]);
+MAF_EXPORT mat4 mat4_fromMat44(mat4 m, float (*n)[4]);
+MAF_EXPORT mat4 mat4_identity(mat4 m);
+MAF_EXPORT mat4 mat4_invert(mat4 m);
+MAF_EXPORT mat4 mat4_transpose(mat4 m);
+MAF_EXPORT mat4 mat4_multiply(mat4 m, mat4 n);
+MAF_EXPORT mat4 mat4_translate(mat4 m, float x, float y, float z);
+MAF_EXPORT mat4 mat4_rotate(mat4 m, float angle, float x, float y, float z);
+MAF_EXPORT mat4 mat4_rotateQuat(mat4 m, quat q);
+MAF_EXPORT mat4 mat4_scale(mat4 m, float x, float y, float z);
+MAF_EXPORT void mat4_getPose(mat4 m, float* x, float* y, float* z, float* angle, float* ax, float* ay, float* az);
+MAF_EXPORT void mat4_getTransform(mat4 m, float* x, float* y, float* z, float* sx, float* sy, float* sz, float* angle, float* ax, float* ay, float* az);
+MAF_EXPORT mat4 mat4_setTransform(mat4 m, float x, float y, float z, float sx, float sy, float sz, float angle, float ax, float ay, float az);
+MAF_EXPORT mat4 mat4_orthographic(mat4 m, float left, float right, float top, float bottom, float near, float far);
+MAF_EXPORT mat4 mat4_perspective(mat4 m, float near, float far, float fov, float aspect);
+MAF_EXPORT mat4 mat4_lookAt(mat4 m, vec3 from, vec3 to, vec3 up);
+MAF_EXPORT void mat4_transform(mat4 m, float* x, float* y, float* z);
+MAF_EXPORT void mat4_transformDirection(mat4 m, float* x, float* y, float* z);
 
 #ifdef LOVR_USE_SSE
-LOVR_EXPORT mat4 mat4_invertPose(mat4 m);
+MAF_EXPORT mat4 mat4_invertPose(mat4 m);
 #else
 #define mat4_invertPose mat4_invert
 #endif
diff --git a/src/util.c b/src/util.c
index c90ff6b1..fdf0a3ad 100644
--- a/src/util.c
+++ b/src/util.c
@@ -2,8 +2,8 @@
 #include "platform.h"
 #include <stdlib.h>
 
-LOVR_THREADLOCAL lovrErrorHandler lovrErrorCallback = NULL;
-LOVR_THREADLOCAL void* lovrErrorUserdata = NULL;
+_Thread_local lovrErrorHandler lovrErrorCallback = NULL;
+_Thread_local void* lovrErrorUserdata = NULL;
 
 void lovrSetErrorCallback(lovrErrorHandler callback, void* userdata) {
   lovrErrorCallback = callback;
diff --git a/src/util.h b/src/util.h
index 14ff02c6..afd49abf 100644
--- a/src/util.h
+++ b/src/util.h
@@ -6,12 +6,12 @@
 
 #ifdef _WIN32
 #define LOVR_EXPORT __declspec(dllexport)
-#define LOVR_NORETURN __declspec(noreturn)
-#define LOVR_THREADLOCAL __declspec(thread)
+#define _Noreturn  __declspec(noreturn)
+#define _Thread_local __declspec(thread)
 #else
 #define LOVR_EXPORT
-#define LOVR_NORETURN __attribute__((noreturn))
-#define LOVR_THREADLOCAL __thread
+#define _Noreturn __attribute__((noreturn))
+#define _Thread_local __thread
 #endif
 
 #define CHECK_SIZEOF(T) int(*_o)[sizeof(T)]=1
@@ -33,11 +33,11 @@ typedef struct ref {
 typedef struct { float r, g, b, a; } Color;
 
 typedef void (*lovrErrorHandler)(void* userdata, const char* format, va_list args);
-extern LOVR_THREADLOCAL lovrErrorHandler lovrErrorCallback;
-extern LOVR_THREADLOCAL void* lovrErrorUserdata;
+extern _Thread_local lovrErrorHandler lovrErrorCallback;
+extern _Thread_local void* lovrErrorUserdata;
 
 void lovrSetErrorCallback(lovrErrorHandler callback, void* context);
-void LOVR_NORETURN lovrThrow(const char* format, ...);
+void _Noreturn lovrThrow(const char* format, ...);
 void* _lovrAlloc(const char* type, size_t size, void (*destructor)(void*));
 void lovrRetain(void* object);
 void lovrRelease(void* object);