diff --git a/polymer/eduke32/source/lunatic/control.lua b/polymer/eduke32/source/lunatic/control.lua
index 0cf557922..7a2699a61 100644
--- a/polymer/eduke32/source/lunatic/control.lua
+++ b/polymer/eduke32/source/lunatic/control.lua
@@ -512,6 +512,7 @@ end
 
 local xmath = require("xmath")
 local abs = math.abs
+local bangvec, kangvec = xmath.bangvec, xmath.kangvec
 local dist, ldist = xmath.dist, xmath.ldist
 local vec3, ivec3 = xmath.vec3, xmath.ivec3
 local rotate = xmath.rotate
@@ -1345,10 +1346,6 @@ function _awayfromwall(spr, d)
     return true
 end
 
-local function cossinb(bang)
-    return xmath.cosb(bang), xmath.sinb(bang)
-end
-
 -- TODO: xmath.vec3 'mhlen2' method?
 local function manhatdist(v1, v2)
     return abs(v1.x-v2.x) + abs(v1.y-v2.y)
@@ -1364,9 +1361,8 @@ local function A_FurthestVisiblePoint(aci, otherspr)
 
     local j = 0
     repeat
-        local c, s = cossinb(otherspr.ang + j)
-        local hit = hitscan(otherspr^(16*256), otherspr.sectnum,
-                            c, s, 16384-krandand(32767), ffiC.CLIPMASK1)
+        local ray = kangvec(otherspr.ang + j, 16384-krandand(32767))
+        local hit = hitscan(otherspr^(16*256), otherspr.sectnum, ray, ffiC.CLIPMASK1)
         local dother = manhatdist(hit.pos, otherspr)
         local dactor = manhatdist(hit.pos, sprite[aci])
 
@@ -1439,7 +1435,8 @@ end
 -- CON "hitscan" command
 function _hitscan(x, y, z, sectnum, vx, vy, vz, cliptype)
     local srcv = ivec3(x, y, z)
-    local hit = hitscan(srcv, sectnum, vx, vy, vz, cliptype)
+    local ray = ivec3(vx, vy, vz)
+    local hit = hitscan(srcv, sectnum, ray, cliptype)
     return hit.sect, hit.wall, hit.sprite, hit.pos.x, hit.pos.y, hit.pos.z
 end
 
@@ -1508,15 +1505,12 @@ end
 local function A_CheckHitSprite(spr, angadd)
     local zoff = (spr:isenemy() and 42*256) or (ispic(spr.picnum, "APLAYER") and 39*256) or 0
 
-    local c, s = cossinb(spr.ang+angadd)
-    local hit = hitscan(spr^zoff, spr.sectnum, c, s, 0, ffiC.CLIPMASK1)
+    local hit = hitscan(spr^zoff, spr.sectnum, kangvec(spr.ang+angadd), ffiC.CLIPMASK1)
     if (hit.wall >= 0 and wall[hit.wall]:ismasked() and spr:isenemy()) then
         return -1, nil
     end
 
-    local dx = hit.pos.x-spr.x
-    local dy = hit.pos.y-spr.y
-    return hit.sprite, math.sqrt(dx*dx+dy*dy)  -- TODO: use "ldist" approximation for authenticity
+    return hit.sprite, ldist(hit.pos, spr)
 end
 
 function _canshoottarget(dst, aci)
diff --git a/polymer/eduke32/source/lunatic/defs_common.lua b/polymer/eduke32/source/lunatic/defs_common.lua
index ee81f4331..064435b8f 100644
--- a/polymer/eduke32/source/lunatic/defs_common.lua
+++ b/polymer/eduke32/source/lunatic/defs_common.lua
@@ -1196,14 +1196,13 @@ end
 ---=== Engine functions, wrapped for Lua convenience ===---
 
 -- returns a hitdata_ct
--- TODO: make v[xyz] be passed as one aggregate, too?
 -- TODO: make cliptype optional? What should be the default?
-function hitscan(pos, sectnum, vx,vy,vz, cliptype)
+function hitscan(pos, sectnum, ray, cliptype)
     check_sector_idx(sectnum)
     local vec = vec3_ct(pos.x, pos.y, pos.z)
     local hitdata = hitdata_ct()
 
-    ffiC.hitscan(vec, sectnum, vx,vy,vz, hitdata, cliptype)
+    ffiC.hitscan(vec, sectnum, ray.x, ray.y, ray.z, hitdata, cliptype)
     return hitdata
 end
 
diff --git a/polymer/eduke32/source/lunatic/test.lua b/polymer/eduke32/source/lunatic/test.lua
index ff48b7ed0..a48d876f2 100644
--- a/polymer/eduke32/source/lunatic/test.lua
+++ b/polymer/eduke32/source/lunatic/test.lua
@@ -469,6 +469,35 @@ local TROOPSTRENGTH = 30
 local AF = actor.FLAGS
 local CS = sprite.CSTAT
 
+-- Crosshair sprite.
+-- NOTE: This ought to be a gamevar -- if a savegame is restored, a new one
+-- will be spawned.
+local chair
+
+gameactor{ D.APLAYER, AF.chain_end,
+    function(aci, pli)
+        if (chair == nil) then
+            chair = con.spawn(555, aci)
+            printf("Spawned our crosshair: sprite %d", chair)
+            local spr = sprite[chair]
+            -- Set to STAT_MISC because otherwise interpolation goes crazy (old
+            -- value never updated; dunno why...)
+            sprite.changestat(chair, actor.STAT.MISC)
+            spr.xrepeat, spr.yrepeat = 96, 96
+            spr.cstatbits:set(CS.CENTER)
+        end
+
+        local ps = player[pli]
+        local ray = xmath.kangvec(ps.ang, -(ps.horiz-100)*2048)
+
+        local hit = hitscan(ps.pos, ps.cursectnum, ray, 0)
+        if (hit.sect >= 0) then
+            sprite[chair]:setpos(hit.pos)
+            sprite.changesect(chair, hit.sect)
+        end
+    end
+}
+
 -- Also test actor code chaining: strength is doubled.
 gameactor
 {
@@ -483,7 +512,7 @@ gameactor
         local spr = sprite[i]
 
         local t = gv.gethiticks()
-        local hit = hitscan(spr, spr.sectnum, 10, 10, 0, gv.CLIPMASK0)
+        local hit = hitscan(spr, spr.sectnum, {x=10, y=10, z=0}, gv.CLIPMASK0)
 
         hs:add(1000*(gv.gethiticks()-t))
 
@@ -534,7 +563,7 @@ gameactor
         -- Polymost: only for "ghost"
         -- Polymer: none
         local aimv = 256*xmath.bangvec(tspr.ang)
-        local hit = hitscan(tspr^(16*256), tspr.sectnum, aimv.x, aimv.y, 0, gv.CLIPMASK1)
+        local hit = hitscan(tspr^(16*256), tspr.sectnum, aimv, gv.CLIPMASK1)
 
         if (hit.wall >= 0) then
             local aimtspr = tspr:dup()
diff --git a/polymer/eduke32/source/lunatic/xmath.lua b/polymer/eduke32/source/lunatic/xmath.lua
index 8b5ab2cc0..33d423dd6 100644
--- a/polymer/eduke32/source/lunatic/xmath.lua
+++ b/polymer/eduke32/source/lunatic/xmath.lua
@@ -292,11 +292,16 @@ local vec2, vec3 = vec2, vec3
 local intarg = ffi.new("int32_t [1]")
 function bangvec(bang)
     intarg[0] = bang  -- round towards zero
-    return vec3(cosb(intarg[0]), sinb(intarg[0]))
+    return dvec3_t(cosb(intarg[0]), sinb(intarg[0]))
+end
+
+function kangvec(bang, z)
+    intarg[0] = bang  -- round towards zero
+    return ivec3_t(kcos(intarg[0]), ksin(intarg[0]), z or 0)
 end
 
 function angvec(ang)
-    return vec3(cos(ang), sin(ang))
+    return dvec3_t(cos(ang), sin(ang))
 end