diff --git a/src/actor.h b/src/actor.h
index c9a4436ea..ecfd700d8 100644
--- a/src/actor.h
+++ b/src/actor.h
@@ -611,7 +611,8 @@ extern FDropItemPtrArray DropItemList;
 
 void FreeDropItemChain(FDropItem *chain);
 int StoreDropItemChain(FDropItem *chain);
-
+fixed_t P_AproxDistance (fixed_t dx, fixed_t dy);	// since we cannot include p_local here...
+angle_t R_PointToAngle2 (fixed_t x1, fixed_t y1, fixed_t x2, fixed_t y2); // same reason here with r_defs.h
 
 
 // Map Object definition.
@@ -853,6 +854,61 @@ public:
 		return bloodcls;
 	}
 
+	// 'absolute' is reserved for a linked portal implementation which needs
+	// to distinguish between portal-aware and portal-unaware distance calculation.
+	fixed_t AproxDistance(AActor *other, bool absolute = false)
+	{
+		return P_AproxDistance(x - other->x, y - other->y);
+	}
+
+	// same with 'ref' here.
+	fixed_t AproxDistance(fixed_t otherx, fixed_t othery, AActor *ref = NULL)
+	{
+		return P_AproxDistance(x - otherx, y - othery);
+	}
+
+	fixed_t AproxDistance(AActor *other, fixed_t xadd, fixed_t yadd, bool absolute = false)
+	{
+		return P_AproxDistance(x - other->x + xadd, y - other->y + yadd);
+	}
+
+	fixed_t AproxDistance3D(AActor *other, bool absolute = false)
+	{
+		return P_AproxDistance(AproxDistance(other), z - other->z);
+	}
+
+	// more precise, but slower version, being used in a few places
+	fixed_t Distance2D(AActor *other, bool absolute = false)
+	{
+		return xs_RoundToInt(FVector2(x - other->x, y - other->y).Length());
+	}
+
+	// a full 3D version of the above
+	fixed_t Distance3D(AActor *other, bool absolute = false)
+	{
+		return xs_RoundToInt(FVector3(x - other->x, y - other->y, z - other->z).Length());
+	}
+
+	angle_t AngleTo(AActor *other, bool absolute = false) const
+	{
+		return R_PointToAngle2(x, y, other->x, other->y);
+	}
+
+	angle_t AngleTo(AActor *other, fixed_t oxofs, fixed_t oyofs, bool absolute = false) const
+	{
+		return R_PointToAngle2(x, y, other->x + oxofs, other->y + oyofs);
+	}
+
+	fixed_t AngleTo(fixed_t otherx, fixed_t othery, AActor *ref = NULL)
+	{
+		return R_PointToAngle2(x, y, otherx, othery);
+	}
+
+	fixed_t AngleXYTo(fixed_t myx, fixed_t myy, AActor *other, bool absolute = false)
+	{
+		return R_PointToAngle2(myx, myy, other->x, other->y);
+	}
+
 	inline void SetFriendPlayer(player_t *player);
 
 	bool IsVisibleToPlayer() const;
diff --git a/src/b_func.cpp b/src/b_func.cpp
index f93625612..9594d29d8 100644
--- a/src/b_func.cpp
+++ b/src/b_func.cpp
@@ -37,7 +37,7 @@ bool DBot::Reachable (AActor *rtarget)
 
 	sector_t *last_s = player->mo->Sector;
 	fixed_t last_z = last_s->floorplane.ZatPoint (player->mo->x, player->mo->y);
-	fixed_t estimated_dist = P_AproxDistance (player->mo->x - rtarget->x, player->mo->y - rtarget->y);
+	fixed_t estimated_dist = player->mo->AproxDistance(rtarget);
 	bool reachable = true;
 
 	FPathTraverse it(player->mo->x+player->mo->velx, player->mo->y+player->mo->vely, rtarget->x, rtarget->y, PT_ADDLINES|PT_ADDTHINGS);
@@ -123,7 +123,7 @@ bool DBot::Check_LOS (AActor *to, angle_t vangle)
 	if (vangle == 0)
 		return false; //Looker seems to be blind.
 
-	return absangle(R_PointToAngle2 (player->mo->x, player->mo->y, to->x, to->y) - player->mo->angle) <= vangle/2;
+	return absangle(player->mo->AngleTo(to) - player->mo->angle) <= vangle/2;
 }
 
 //-------------------------------------
@@ -165,10 +165,8 @@ void DBot::Dofire (ticcmd_t *cmd)
 	//MAKEME: Decrease the rocket suicides even more.
 
 	no_fire = true;
-	//angle = R_PointToAngle2(player->mo->x, player->mo->y, player->enemy->x, player->enemy->y);
 	//Distance to enemy.
-	dist = P_AproxDistance ((player->mo->x + player->mo->velx) - (enemy->x + enemy->velx),
-		(player->mo->y + player->mo->vely) - (enemy->y + enemy->vely));
+	dist = player->mo->AproxDistance(enemy, player->mo->velx - enemy->velx, player->mo->vely - enemy->vely);
 
 	//FIRE EACH TYPE OF WEAPON DIFFERENT: Here should all the different weapons go.
 	if (player->ReadyWeapon->WeaponFlags & WIF_MELEEWEAPON)
@@ -219,17 +217,17 @@ void DBot::Dofire (ticcmd_t *cmd)
 		}
 		// prediction aiming
 shootmissile:
-		dist = P_AproxDistance (player->mo->x - enemy->x, player->mo->y - enemy->y);
+		dist = player->mo->AproxDistance (enemy);
 		m = dist / GetDefaultByType (player->ReadyWeapon->ProjectileType)->Speed;
 		bglobal.SetBodyAt (enemy->x + enemy->velx*m*2, enemy->y + enemy->vely*m*2, enemy->z, 1);
-		angle = R_PointToAngle2 (player->mo->x, player->mo->y, bglobal.body1->x, bglobal.body1->y);
+		angle = player->mo->AngleTo(bglobal.body1);
 		if (Check_LOS (enemy, SHOOTFOV))
 			no_fire = false;
 	}
 	else
 	{
 		//Other weapons, mostly instant hit stuff.
-		angle = R_PointToAngle2 (player->mo->x, player->mo->y, enemy->x, enemy->y);
+		angle = player->mo->AngleTo(enemy);
 		aiming_penalty = 0;
 		if (enemy->flags & MF_SHADOW)
 			aiming_penalty += (pr_botdofire()%25)+10;
@@ -265,7 +263,6 @@ shootmissile:
 		cmd->ucmd.buttons |= BT_ATTACK;
 	}
 	//Prevents bot from jerking, when firing automatic things with low skill.
-	//player->mo->angle = R_PointToAngle2(player->mo->x, player->mo->y, player->enemy->x, player->enemy->y);
 }
 
 bool FCajunMaster::IsLeader (player_t *player)
@@ -331,8 +328,7 @@ AActor *DBot::Choose_Mate ()
 		{
 			if (P_CheckSight (player->mo, client->mo, SF_IGNOREVISIBILITY))
 			{
-				test = P_AproxDistance (client->mo->x - player->mo->x,
-										client->mo->y - player->mo->y);
+				test = client->mo->AproxDistance(player->mo);
 
 				if (test < closest_dist)
 				{
@@ -402,8 +398,7 @@ AActor *DBot::Find_enemy ()
 			if (Check_LOS (client->mo, vangle)) //Here's a strange one, when bot is standing still, the P_CheckSight within Check_LOS almost always returns false. tought it should be the same checksight as below but.. (below works) something must be fuckin wierd screded up. 
 			//if(P_CheckSight(player->mo, players[count].mo))
 			{
-				temp = P_AproxDistance (client->mo->x - player->mo->x,
-										client->mo->y - player->mo->y);
+				temp = client->mo->AproxDistance(player->mo);
 
 				//Too dark?
 				if (temp > DARK_DIST &&
@@ -505,7 +500,7 @@ angle_t DBot::FireRox (AActor *enemy, ticcmd_t *cmd)
 
 	actor = bglobal.body2;
 
-	dist = P_AproxDistance (actor->x-enemy->x, actor->y-enemy->y);
+	dist = actor->AproxDistance (enemy);
 	if (dist < SAFE_SELF_MISDIST)
 		return 0;
 	//Predict.
@@ -522,7 +517,7 @@ angle_t DBot::FireRox (AActor *enemy, ticcmd_t *cmd)
 		{
 			if (bglobal.FakeFire (actor, bglobal.body1, cmd) >= SAFE_SELF_MISDIST)
 			{
-				ang = R_PointToAngle2 (actor->x, actor->y, bglobal.body1->x, bglobal.body1->y);
+				ang = actor->AngleTo(bglobal.body1);
 				return ang;
 			}
 		}
@@ -532,7 +527,7 @@ angle_t DBot::FireRox (AActor *enemy, ticcmd_t *cmd)
 	{
 		if (bglobal.FakeFire (player->mo, enemy, cmd) >= SAFE_SELF_MISDIST)
 		{
-			ang = R_PointToAngle2(player->mo->x, player->mo->y, enemy->x, enemy->y);
+			ang = player->mo->AngleTo(enemy);
 			return ang;
 		}
 	}
diff --git a/src/b_move.cpp b/src/b_move.cpp
index 4759f22d9..5cacd5664 100644
--- a/src/b_move.cpp
+++ b/src/b_move.cpp
@@ -35,7 +35,7 @@ void DBot::Roam (ticcmd_t *cmd)
 
 	if (Reachable(dest))
 	{ // Straight towards it.
-		angle = R_PointToAngle2(player->mo->x, player->mo->y, dest->x, dest->y);
+		angle = player->mo->AngleTo(dest);
 	}
 	else if (player->mo->movedir < 8) // turn towards movement direction if not there yet
 	{
@@ -347,7 +347,7 @@ void DBot::Pitch (AActor *target)
 	double diff;
 
 	diff = target->z - player->mo->z;
-	aim = atan (diff / (double)P_AproxDistance (player->mo->x - target->x, player->mo->y - target->y));
+	aim = atan(diff / (double)player->mo->AproxDistance(target));
 	player->mo->pitch = -(int)(aim * ANGLE_180/M_PI);
 }
 
diff --git a/src/b_think.cpp b/src/b_think.cpp
index 34baeee9c..ced5b4b4e 100644
--- a/src/b_think.cpp
+++ b/src/b_think.cpp
@@ -81,7 +81,7 @@ void DBot::ThinkForMove (ticcmd_t *cmd)
 	int r;
 
 	stuck = false;
-	dist = dest ? P_AproxDistance(player->mo->x-dest->x, player->mo->y-dest->y) : 0;
+	dist = dest ? player->mo->AproxDistance(dest) : 0;
 
 	if (missile &&
 		((!missile->velx || !missile->vely) || !Check_LOS(missile, SHOOTFOV*3/2)))
@@ -96,14 +96,14 @@ void DBot::ThinkForMove (ticcmd_t *cmd)
 		player->mo->pitch += 80;
 
 	//HOW TO MOVE:
-	if (missile && (P_AproxDistance(player->mo->x-missile->x, player->mo->y-missile->y)<AVOID_DIST)) //try avoid missile got from P_Mobj.c thinking part.
+	if (missile && (player->mo->AproxDistance(missile)<AVOID_DIST)) //try avoid missile got from P_Mobj.c thinking part.
 	{
 		Pitch (missile);
-		angle = R_PointToAngle2(player->mo->x, player->mo->y, missile->x, missile->y);
+		angle = player->mo->AngleTo(missile);
 		cmd->ucmd.sidemove = sleft ? -SIDERUN : SIDERUN;
 		cmd->ucmd.forwardmove = -FORWARDRUN; //Back IS best.
 
-		if ((P_AproxDistance(player->mo->x-oldx, player->mo->y-oldy)<50000)
+		if ((player->mo->AproxDistance(oldx, oldy)<50000)
 			&& t_strafe<=0)
 		{
 			t_strafe = 5;
@@ -156,7 +156,7 @@ void DBot::ThinkForMove (ticcmd_t *cmd)
 			t_fight = AFTERTICS;
 
 		if (t_strafe <= 0 &&
-			(P_AproxDistance(player->mo->x-oldx, player->mo->y-oldy)<50000
+			(player->mo->AproxDistance(oldx, oldy)<50000
 			|| ((pr_botmove()%30)==10))
 			)
 		{
@@ -165,10 +165,10 @@ void DBot::ThinkForMove (ticcmd_t *cmd)
 			sleft = !sleft;
 		}
 
-		angle = R_PointToAngle2(player->mo->x, player->mo->y, enemy->x, enemy->y);
+		angle = player->mo->AngleTo(enemy);
 
 		if (player->ReadyWeapon == NULL ||
-			P_AproxDistance(player->mo->x-enemy->x, player->mo->y-enemy->y) >
+			player->mo->AproxDistance(enemy) >
 			player->ReadyWeapon->MoveCombatDist)
 		{
 			// If a monster, use lower speed (just for cooler apperance while strafing down doomed monster)
@@ -206,9 +206,9 @@ void DBot::ThinkForMove (ticcmd_t *cmd)
 			goto roam;
 		}
 
-		angle = R_PointToAngle2(player->mo->x, player->mo->y, mate->x, mate->y);
+		angle = player->mo->AngleTo(mate);
 
-		matedist = P_AproxDistance(player->mo->x - mate->x, player->mo->y - mate->y);
+		matedist = player->mo->AproxDistance(mate);
 		if (matedist > (FRIEND_DIST*2))
 			cmd->ucmd.forwardmove = FORWARDRUN;
 		else if (matedist > FRIEND_DIST)
@@ -241,7 +241,7 @@ void DBot::ThinkForMove (ticcmd_t *cmd)
 						(pr_botmove()%100)>skill.isp) && player->ReadyWeapon != NULL && !(player->ReadyWeapon->WeaponFlags & WIF_WIMPY_WEAPON))
 						dest = enemy;//Dont let enemy kill the bot by supressive fire. So charge enemy.
 					else //hide while t_fight, but keep view at enemy.
-						angle = R_PointToAngle2(player->mo->x, player->mo->y, enemy->x, enemy->y);
+						angle = player->mo->AngleTo(enemy);
 				} //Just a monster, so kill it.
 				else
 					dest = enemy;
diff --git a/src/fragglescript/t_func.cpp b/src/fragglescript/t_func.cpp
index fdf904764..ceabc9ce5 100644
--- a/src/fragglescript/t_func.cpp
+++ b/src/fragglescript/t_func.cpp
@@ -3145,8 +3145,8 @@ void FParser::SF_MoveCamera(void)
 		}
 		
 		// set step variables based on distance and speed
-		mobjangle = R_PointToAngle2(cam->x, cam->y, target->x, target->y);
-		xydist = R_PointToDist2(target->x - cam->x, target->y - cam->y);
+		mobjangle = cam->AngleTo(target);
+		xydist = cam->Distance2D(target);
 		
 		xstep = FixedMul(finecosine[mobjangle >> ANGLETOFINESHIFT], movespeed);
 		ystep = FixedMul(finesine[mobjangle >> ANGLETOFINESHIFT], movespeed);
diff --git a/src/g_doom/a_doomweaps.cpp b/src/g_doom/a_doomweaps.cpp
index 899f1f7d5..79dd6253f 100644
--- a/src/g_doom/a_doomweaps.cpp
+++ b/src/g_doom/a_doomweaps.cpp
@@ -59,10 +59,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_Punch)
 	if (linetarget)
 	{
 		S_Sound (self, CHAN_WEAPON, "*fist", 1, ATTN_NORM);
-		self->angle = R_PointToAngle2 (self->x,
-										self->y,
-										linetarget->x,
-										linetarget->y);
+		self->angle = self->AngleTo(linetarget);
 	}
 }
 
@@ -218,8 +215,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_Saw)
 	// turn to face target
 	if (!(Flags & SF_NOTURN))
 	{
-			angle = R_PointToAngle2(self->x, self->y,
-			linetarget->x, linetarget->y);
+		angle = self->AngleTo(linetarget);
 		if (angle - self->angle > ANG180)
 		{
 			if (angle - self->angle < (angle_t)(-ANG90 / 20))
diff --git a/src/g_doom/a_lostsoul.cpp b/src/g_doom/a_lostsoul.cpp
index fdc0257cb..1182292e0 100644
--- a/src/g_doom/a_lostsoul.cpp
+++ b/src/g_doom/a_lostsoul.cpp
@@ -36,7 +36,7 @@ void A_SkullAttack(AActor *self, fixed_t speed)
 	an = self->angle >> ANGLETOFINESHIFT;
 	self->velx = FixedMul (speed, finecosine[an]);
 	self->vely = FixedMul (speed, finesine[an]);
-	dist = P_AproxDistance (dest->x - self->x, dest->y - self->y);
+	dist = self->AproxDistance (dest);
 	dist = dist / speed;
 	
 	if (dist < 1)
diff --git a/src/g_doom/a_revenant.cpp b/src/g_doom/a_revenant.cpp
index 0600a59eb..06fdfa6aa 100644
--- a/src/g_doom/a_revenant.cpp
+++ b/src/g_doom/a_revenant.cpp
@@ -77,7 +77,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_Tracer)
 		return;
 	
 	// change angle 	
-	exact = R_PointToAngle2 (self->x, self->y, dest->x,  dest->y);
+	exact = self->AngleTo(dest);
 
 	if (exact != self->angle)
 	{
@@ -102,10 +102,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_Tracer)
 	if (!(self->flags3 & (MF3_FLOORHUGGER|MF3_CEILINGHUGGER)))
 	{
 		// change slope
-		dist = P_AproxDistance (dest->x - self->x,
-								dest->y - self->y);
-		
-		dist = dist / self->Speed;
+		dist = self->AproxDistance (dest) / self->Speed;
 
 		if (dist < 1)
 			dist = 1;
diff --git a/src/g_doom/a_scriptedmarine.cpp b/src/g_doom/a_scriptedmarine.cpp
index be39b545b..6e75d80e6 100644
--- a/src/g_doom/a_scriptedmarine.cpp
+++ b/src/g_doom/a_scriptedmarine.cpp
@@ -276,7 +276,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_M_Saw)
 		S_Sound (self, CHAN_WEAPON, hitsound, 1, ATTN_NORM);
 			
 		// turn to face target
-		angle = R_PointToAngle2 (self->x, self->y, linetarget->x, linetarget->y);
+		angle = self->AngleTo(linetarget);
 		if (angle - self->angle > ANG180)
 		{
 			if (angle - self->angle < (angle_t)(-ANG90/20))
@@ -326,7 +326,8 @@ static void MarinePunch(AActor *self, int damagemul)
 	if (linetarget)
 	{
 		S_Sound (self, CHAN_WEAPON, "*fist", 1, ATTN_NORM);
-		self->angle = R_PointToAngle2 (self->x, self->y, linetarget->x, linetarget->y);
+		self->angle = self->AngleTo(linetarget);
+
 	}
 }
 
diff --git a/src/g_game.cpp b/src/g_game.cpp
index 64e746cef..b7d10251b 100644
--- a/src/g_game.cpp
+++ b/src/g_game.cpp
@@ -1479,8 +1479,7 @@ static fixed_t PlayersRangeFromSpot (FPlayerStart *spot)
 		if (!playeringame[i] || !players[i].mo || players[i].health <= 0)
 			continue;
 
-		distance = P_AproxDistance (players[i].mo->x - spot->x,
-									players[i].mo->y - spot->y);
+		distance = players[i].mo->AproxDistance (spot->x, spot->y);
 
 		if (distance < closest)
 			closest = distance;
diff --git a/src/g_heretic/a_chicken.cpp b/src/g_heretic/a_chicken.cpp
index 082774a3d..f4ad4c211 100644
--- a/src/g_heretic/a_chicken.cpp
+++ b/src/g_heretic/a_chicken.cpp
@@ -178,8 +178,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_BeakAttackPL1)
 	P_LineAttack (player->mo, angle, MELEERANGE, slope, damage, NAME_Melee, "BeakPuff", true, &linetarget);
 	if (linetarget)
 	{
-		player->mo->angle = R_PointToAngle2 (player->mo->x,
-			player->mo->y, linetarget->x, linetarget->y);
+		player->mo->angle = player->mo->AngleTo(linetarget);
 	}
 	P_PlayPeck (player->mo);
 	player->chickenPeck = 12;
@@ -211,8 +210,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_BeakAttackPL2)
 	P_LineAttack (player->mo, angle, MELEERANGE, slope, damage, NAME_Melee, "BeakPuff", true, &linetarget);
 	if (linetarget)
 	{
-		player->mo->angle = R_PointToAngle2 (player->mo->x,
-			player->mo->y, linetarget->x, linetarget->y);
+		player->mo->angle = player->mo->AngleTo(linetarget);
 	}
 	P_PlayPeck (player->mo);
 	player->chickenPeck = 12;
diff --git a/src/g_heretic/a_hereticweaps.cpp b/src/g_heretic/a_hereticweaps.cpp
index afc4f6007..711bbd960 100644
--- a/src/g_heretic/a_hereticweaps.cpp
+++ b/src/g_heretic/a_hereticweaps.cpp
@@ -90,8 +90,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_StaffAttack)
 	{
 		//S_StartSound(player->mo, sfx_stfhit);
 		// turn to face target
-		self->angle = R_PointToAngle2 (self->x,
-			self->y, linetarget->x, linetarget->y);
+		self->angle = self->AngleTo(linetarget);
 	}
 }
 
@@ -307,8 +306,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_GauntletAttack)
 		S_Sound (self, CHAN_AUTO, "weapons/gauntletshit", 1, ATTN_NORM);
 	}
 	// turn to face target
-	angle = R_PointToAngle2 (self->x, self->y,
-		linetarget->x, linetarget->y);
+	angle = self->AngleTo(linetarget);
 	if (angle-self->angle > ANG180)
 	{
 		if ((int)(angle-self->angle) < -ANG90/20)
@@ -648,8 +646,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_DeathBallImpact)
 			}
 			else
 			{ // Seek
-				angle = R_PointToAngle2(self->x, self->y,
-					target->x, target->y);
+				self->angle = self->AngleTo(target);
 				newAngle = true;
 			}
 		}
@@ -662,8 +659,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_DeathBallImpact)
 				if (linetarget && self->target != linetarget)
 				{
 					self->tracer = linetarget;
-					angle = R_PointToAngle2 (self->x, self->y,
-						linetarget->x, linetarget->y);
+					angle = self->AngleTo(linetarget);
 					newAngle = true;
 					break;
 				}
diff --git a/src/g_heretic/a_ironlich.cpp b/src/g_heretic/a_ironlich.cpp
index dba16b622..75c05bf2b 100644
--- a/src/g_heretic/a_ironlich.cpp
+++ b/src/g_heretic/a_ironlich.cpp
@@ -91,8 +91,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_LichAttack)
 		P_TraceBleed (newdam > 0 ? newdam : damage, target, self);
 		return;
 	}
-	dist = P_AproxDistance (self->x-target->x, self->y-target->y)
-		> 8*64*FRACUNIT;
+	dist = self->AproxDistance (target) > 8*64*FRACUNIT;
 	randAttack = pr_atk ();
 	if (randAttack < atkResolve1[dist])
 	{ // Ice ball
diff --git a/src/g_hexen/a_blastradius.cpp b/src/g_hexen/a_blastradius.cpp
index a78b0b4c8..c7fb17fef 100644
--- a/src/g_hexen/a_blastradius.cpp
+++ b/src/g_hexen/a_blastradius.cpp
@@ -33,13 +33,13 @@ void BlastActor (AActor *victim, fixed_t strength, fixed_t speed, AActor * Owner
 		return;
 	}
 
-	angle = R_PointToAngle2 (Owner->x, Owner->y, victim->x, victim->y);
+	angle = Owner->AngleTo(victim);
 	angle >>= ANGLETOFINESHIFT;
 	victim->velx = FixedMul (speed, finecosine[angle]);
 	victim->vely = FixedMul (speed, finesine[angle]);
 
 	// Spawn blast puff
-	ang = R_PointToAngle2 (victim->x, victim->y, Owner->x, Owner->y);
+	ang = victim->AngleTo(Owner);
 	ang >>= ANGLETOFINESHIFT;
 	x = victim->x + FixedMul (victim->radius+FRACUNIT, finecosine[ang]);
 	y = victim->y + FixedMul (victim->radius+FRACUNIT, finesine[ang]);
@@ -141,7 +141,7 @@ DEFINE_ACTION_FUNCTION_PARAMS (AActor, A_Blast)
 		{	// Must be monster, player, missile, touchy or vulnerable
 			continue;
 		}
-		dist = P_AproxDistance (self->x - mo->x, self->y - mo->y);
+		dist = self->AproxDistance (mo);
 		if (dist > radius)
 		{ // Out of range
 			continue;
diff --git a/src/g_hexen/a_clericholy.cpp b/src/g_hexen/a_clericholy.cpp
index 2b469e5af..39fee109d 100644
--- a/src/g_hexen/a_clericholy.cpp
+++ b/src/g_hexen/a_clericholy.cpp
@@ -262,14 +262,12 @@ static void CHolyTailFollow (AActor *actor, fixed_t dist)
 		child = actor->tracer;
 		if (child)
 		{
-			an = R_PointToAngle2(actor->x, actor->y, child->x, 
-				child->y)>>ANGLETOFINESHIFT;
-			oldDistance = P_AproxDistance (child->x-actor->x, child->y-actor->y);
+			an = actor->AngleTo(child) >> ANGLETOFINESHIFT;
+			oldDistance = child->AproxDistance (actor);
 			if (P_TryMove (child, actor->x+FixedMul(dist, finecosine[an]), 
 				actor->y+FixedMul(dist, finesine[an]), true))
 			{
-				newDistance = P_AproxDistance (child->x-actor->x, 
-					child->y-actor->y)-FRACUNIT;
+				newDistance = child->AproxDistance (actor)-FRACUNIT;
 				if (oldDistance < FRACUNIT)
 				{
 					if (child->z < actor->z)
@@ -425,7 +423,7 @@ static void CHolySeekerMissile (AActor *actor, angle_t thresh, angle_t turnMax)
 				deltaZ = -15*FRACUNIT;
 			}
 		}
-		dist = P_AproxDistance (target->x-actor->x, target->y-actor->y);
+		dist = actor->AproxDistance (target);
 		dist = dist / actor->Speed;
 		if (dist < 1)
 		{
diff --git a/src/g_hexen/a_clericstaff.cpp b/src/g_hexen/a_clericstaff.cpp
index b397fc12b..eeda968fa 100644
--- a/src/g_hexen/a_clericstaff.cpp
+++ b/src/g_hexen/a_clericstaff.cpp
@@ -73,7 +73,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_CStaffCheck)
 			P_LineAttack (pmo, angle, fixed_t(1.5*MELEERANGE), slope, damage, NAME_Melee, PClass::FindClass ("CStaffPuff"), false, &linetarget);
 			if (linetarget != NULL)
 			{
-				pmo->angle = R_PointToAngle2 (pmo->x, pmo->y, linetarget->x, linetarget->y);
+				pmo->angle = pmo->AngleTo(linetarget);
 				if (((linetarget->player && (!linetarget->IsTeammate (pmo) || level.teamdamage != 0))|| linetarget->flags3&MF3_ISMONSTER)
 					&& (!(linetarget->flags2&(MF2_DORMANT|MF2_INVULNERABLE))))
 				{
@@ -103,7 +103,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_CStaffCheck)
 			P_LineAttack (pmo, angle, fixed_t(1.5*MELEERANGE), slope, damage, NAME_Melee, PClass::FindClass ("CStaffPuff"), false, &linetarget);
 			if (linetarget != NULL)
 			{
-				pmo->angle = R_PointToAngle2 (pmo->x, pmo->y, linetarget->x, linetarget->y);
+				pmo->angle = pmo->AngleTo(linetarget);
 				if ((linetarget->player && (!linetarget->IsTeammate (pmo) || level.teamdamage != 0)) || linetarget->flags3&MF3_ISMONSTER)
 				{
 					newLife = player->health+(damage>>4);
diff --git a/src/g_hexen/a_dragon.cpp b/src/g_hexen/a_dragon.cpp
index fdf2428af..d33e7b07b 100644
--- a/src/g_hexen/a_dragon.cpp
+++ b/src/g_hexen/a_dragon.cpp
@@ -59,28 +59,21 @@ static void DragonSeek (AActor *actor, angle_t thresh, angle_t turnMax)
 	angle = actor->angle>>ANGLETOFINESHIFT;
 	actor->velx = FixedMul (actor->Speed, finecosine[angle]);
 	actor->vely = FixedMul (actor->Speed, finesine[angle]);
+	dist = actor->AproxDistance (target) / actor->Speed;
 	if (actor->z+actor->height < target->z ||
 		target->z+target->height < actor->z)
 	{
-		dist = P_AproxDistance(target->x-actor->x, target->y-actor->y);
-		dist = dist/actor->Speed;
 		if (dist < 1)
 		{
 			dist = 1;
 		}
 		actor->velz = (target->z - actor->z)/dist;
 	}
-	else
-	{
-		dist = P_AproxDistance (target->x-actor->x, target->y-actor->y);
-		dist = dist/actor->Speed;
-	}
 	if (target->flags&MF_SHOOTABLE && pr_dragonseek() < 64)
 	{ // attack the destination mobj if it's attackable
 		AActor *oldTarget;
 
-		if (absangle(actor->angle-R_PointToAngle2(actor->x, actor->y,
-			target->x, target->y)) < ANGLE_45/2)
+		if (absangle(actor->angle - actor->AngleTo(target)) < ANGLE_45/2)
 		{
 			oldTarget = actor->target;
 			actor->target = target;
@@ -105,8 +98,7 @@ static void DragonSeek (AActor *actor, angle_t thresh, angle_t turnMax)
 		{
 			AActor *bestActor = NULL;
 			bestAngle = ANGLE_MAX;
-			angleToTarget = R_PointToAngle2(actor->x, actor->y,
-				actor->target->x, actor->target->y);
+			angleToTarget = actor->AngleTo(actor->target);
 			for (i = 0; i < 5; i++)
 			{
 				if (!target->args[i])
@@ -119,8 +111,7 @@ static void DragonSeek (AActor *actor, angle_t thresh, angle_t turnMax)
 				{
 					continue;
 				}
-				angleToSpot = R_PointToAngle2(actor->x, actor->y, 
-					mo->x, mo->y);
+				angleToSpot = actor->AngleTo(mo);
 				if (absangle(angleToSpot-angleToTarget) < bestAngle)
 				{
 					bestAngle = absangle(angleToSpot-angleToTarget);
@@ -196,8 +187,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_DragonFlight)
 			self->target = NULL;
 			return;
 		}
-		angle = R_PointToAngle2(self->x, self->y, self->target->x,
-			self->target->y);
+		angle = self->AngleTo(self->target);
 		if (absangle(self->angle-angle) < ANGLE_45/2 && self->CheckMeleeRange())
 		{
 			int damage = pr_dragonflight.HitDice (8);
diff --git a/src/g_hexen/a_fighterplayer.cpp b/src/g_hexen/a_fighterplayer.cpp
index 5df183901..82cb8bd05 100644
--- a/src/g_hexen/a_fighterplayer.cpp
+++ b/src/g_hexen/a_fighterplayer.cpp
@@ -30,7 +30,7 @@ void AdjustPlayerAngle (AActor *pmo, AActor *linetarget)
 	angle_t angle;
 	int difference;
 
-	angle = R_PointToAngle2 (pmo->x, pmo->y, linetarget->x, linetarget->y);
+	angle = pmo->AngleTo(linetarget);
 	difference = (int)angle - (int)pmo->angle;
 	if (abs(difference) > MAX_ANGLE_ADJUST)
 	{
diff --git a/src/g_hexen/a_firedemon.cpp b/src/g_hexen/a_firedemon.cpp
index c588dd2ae..c003dc21d 100644
--- a/src/g_hexen/a_firedemon.cpp
+++ b/src/g_hexen/a_firedemon.cpp
@@ -158,12 +158,12 @@ DEFINE_ACTION_FUNCTION(AActor, A_FiredChase)
 	{
 		self->special2 = 0;
 		self->velx = self->vely = 0;
-		dist = P_AproxDistance (self->x - target->x, self->y - target->y);
+		dist = self->AproxDistance (target);
 		if (dist < FIREDEMON_ATTACK_RANGE)
 		{
 			if (pr_firedemonchase() < 30)
 			{
-				ang = R_PointToAngle2 (self->x, self->y, target->x, target->y);
+				ang = self->AngleTo(target);
 				if (pr_firedemonchase() < 128)
 					ang += ANGLE_90;
 				else
diff --git a/src/g_hexen/a_flies.cpp b/src/g_hexen/a_flies.cpp
index 3c677d5cb..683cbebe1 100644
--- a/src/g_hexen/a_flies.cpp
+++ b/src/g_hexen/a_flies.cpp
@@ -79,7 +79,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_FlyBuzz)
 		return;
 	}
 
-	angle_t ang = R_PointToAngle2(self->x, self->y, targ->x, targ->y);
+	angle_t ang = self->AngleTo(targ);
 	self->angle = ang;
 	self->args[0]++;
 	ang >>= ANGLETOFINESHIFT;
diff --git a/src/g_hexen/a_healingradius.cpp b/src/g_hexen/a_healingradius.cpp
index b827f666b..d1d39ddd4 100644
--- a/src/g_hexen/a_healingradius.cpp
+++ b/src/g_hexen/a_healingradius.cpp
@@ -37,7 +37,7 @@ bool AArtiHealingRadius::Use (bool pickup)
 		if (playeringame[i] &&
 			players[i].mo != NULL &&
 			players[i].mo->health > 0 &&
-			P_AproxDistance (players[i].mo->x - Owner->x, players[i].mo->y - Owner->y) <= HEAL_RADIUS_DIST)
+			players[i].mo->AproxDistance (Owner) <= HEAL_RADIUS_DIST)
 		{
 			// Q: Is it worth it to make this selectable as a player property?
 			// A: Probably not - but it sure doesn't hurt.
diff --git a/src/g_hexen/a_heresiarch.cpp b/src/g_hexen/a_heresiarch.cpp
index 9ca0a70e8..498b4e955 100644
--- a/src/g_hexen/a_heresiarch.cpp
+++ b/src/g_hexen/a_heresiarch.cpp
@@ -665,8 +665,7 @@ void A_SorcOffense2(AActor *actor)
 	if (mo)
 	{
 		mo->special2 = 35*5/2;		// 5 seconds
-		dist = P_AproxDistance(dest->x - mo->x, dest->y - mo->y);
-		dist = dist/mo->Speed;
+		dist = mo->AproxDistance(dest) / mo->Speed;
 		if(dist < 1) dist = 1;
 		mo->velz = (dest->z - mo->z) / dist;
 	}
diff --git a/src/g_hexen/a_hexenspecialdecs.cpp b/src/g_hexen/a_hexenspecialdecs.cpp
index 9d0c098fe..ad10a464c 100644
--- a/src/g_hexen/a_hexenspecialdecs.cpp
+++ b/src/g_hexen/a_hexenspecialdecs.cpp
@@ -109,8 +109,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_PotteryCheck)
 		if (playeringame[i])
 		{
 			AActor *pmo = players[i].mo;
-			if (P_CheckSight (self, pmo) && (absangle(R_PointToAngle2 (pmo->x,
-				pmo->y, self->x, self->y) - pmo->angle) <= ANGLE_45))
+			if (P_CheckSight (self, pmo) && (absangle(pmo->AngleTo(self) - pmo->angle) <= ANGLE_45))
 			{ // Previous state (pottery bit waiting state)
 				self->SetState (self->state - 1);
 				return;
diff --git a/src/g_hexen/a_korax.cpp b/src/g_hexen/a_korax.cpp
index 5323fb851..a941f1a65 100644
--- a/src/g_hexen/a_korax.cpp
+++ b/src/g_hexen/a_korax.cpp
@@ -388,8 +388,7 @@ void A_KSpiritSeeker (AActor *actor, angle_t thresh, angle_t turnMax)
 				deltaZ = -15*FRACUNIT;
 			}
 		}
-		dist = P_AproxDistance (target->x-actor->x, target->y-actor->y);
-		dist = dist/actor->Speed;
+		dist = actor->AproxDistance (target) / actor->Speed;
 		if (dist < 1)
 		{
 			dist = 1;
@@ -486,7 +485,7 @@ AActor *P_SpawnKoraxMissile (fixed_t x, fixed_t y, fixed_t z,
 	z -= source->floorclip;
 	th = Spawn (type, x, y, z, ALLOW_REPLACE);
 	th->target = source; // Originator
-	an = R_PointToAngle2(x, y, dest->x, dest->y);
+	an = source->AngleXYTo(x, y, dest);
 	if (dest->flags & MF_SHADOW)
 	{ // Invisible target
 		an += pr_kmissile.Random2()<<21;
@@ -495,8 +494,7 @@ AActor *P_SpawnKoraxMissile (fixed_t x, fixed_t y, fixed_t z,
 	an >>= ANGLETOFINESHIFT;
 	th->velx = FixedMul (th->Speed, finecosine[an]);
 	th->vely = FixedMul (th->Speed, finesine[an]);
-	dist = P_AproxDistance (dest->x - x, dest->y - y);
-	dist = dist/th->Speed;
+	dist = dest->AproxDistance (x, y, source) / th->Speed;
 	if (dist < 1)
 	{
 		dist = 1;
diff --git a/src/g_hexen/a_magelightning.cpp b/src/g_hexen/a_magelightning.cpp
index 9953cf1d0..a13e3a274 100644
--- a/src/g_hexen/a_magelightning.cpp
+++ b/src/g_hexen/a_magelightning.cpp
@@ -190,7 +190,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_LightningClip)
 		}
 		else
 		{
-			self->angle = R_PointToAngle2(self->x, self->y, target->x, target->y);
+			self->angle = self->AngleTo(target);
 			self->velx = 0;
 			self->vely = 0;
 			P_ThrustMobj (self, self->angle, self->Speed>>1);
diff --git a/src/g_raven/a_minotaur.cpp b/src/g_raven/a_minotaur.cpp
index 0f9d9cd55..c2348a9e3 100644
--- a/src/g_raven/a_minotaur.cpp
+++ b/src/g_raven/a_minotaur.cpp
@@ -185,7 +185,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_MinotaurDecide)
 	{
 		S_Sound (self, CHAN_WEAPON, "minotaur/sight", 1, ATTN_NORM);
 	}
-	dist = P_AproxDistance (self->x-target->x, self->y-target->y);
+	dist = self->AproxDistance (target);
 	if (target->z+target->height > self->z
 		&& target->z+target->height < self->z+self->height
 		&& dist < (friendly ? 16*64*FRACUNIT : 8*64*FRACUNIT)
@@ -390,7 +390,7 @@ void P_MinotaurSlam (AActor *source, AActor *target)
 	fixed_t thrust;
 	int damage;
 
-	angle = R_PointToAngle2 (source->x, source->y, target->x, target->y);
+	angle = source->AngleTo(target);
 	angle >>= ANGLETOFINESHIFT;
 	thrust = 16*FRACUNIT+(pr_minotaurslam()<<10);
 	target->velx += FixedMul (thrust, finecosine[angle]);
@@ -489,7 +489,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_MinotaurLook)
 			mo = player->mo;
 			if (mo == master) continue;
 			if (mo->health <= 0) continue;
-			dist = P_AproxDistance(self->x - mo->x, self->y - mo->y);
+			dist = self->AproxDistance(mo);
 			if (dist > MINOTAUR_LOOK_DIST) continue;
 			self->target = mo;
 			break;
@@ -514,7 +514,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_MinotaurLook)
 			if (!(mo->flags3 & MF3_ISMONSTER)) continue;
 			if (mo->health <= 0) continue;
 			if (!(mo->flags & MF_SHOOTABLE)) continue;
-			dist = P_AproxDistance (self->x - mo->x, self->y - mo->y);
+			dist = self->AproxDistance(mo);
 			if (dist > MINOTAUR_LOOK_DIST) continue;
 			if ((mo == master) || (mo == self)) continue;
 			if ((mo->flags5 & MF5_SUMMONEDMONSTER) && (mo->tracer == master)) continue;
diff --git a/src/g_shared/a_quake.cpp b/src/g_shared/a_quake.cpp
index 3c8d704aa..195f3ccbf 100644
--- a/src/g_shared/a_quake.cpp
+++ b/src/g_shared/a_quake.cpp
@@ -129,7 +129,7 @@ void DEarthquake::Tick ()
 				AActor *victim = players[i].mo;
 				fixed_t dist;
 
-				dist = P_AproxDistance (victim->x - m_Spot->x, victim->y - m_Spot->y);
+				dist = m_Spot->AproxDistance (victim, true);
 				// Check if in damage radius
 				if (dist < m_DamageRadius && victim->z <= victim->floorz)
 				{
@@ -242,8 +242,7 @@ int DEarthquake::StaticGetQuakeIntensities(AActor *victim, FQuakeJiggers &jigger
 	{
 		if (quake->m_Spot != NULL)
 		{
-			fixed_t dist = P_AproxDistance (victim->x - quake->m_Spot->x,
-				victim->y - quake->m_Spot->y);
+			fixed_t dist = quake->m_Spot->AproxDistance (victim, true);
 			if (dist < quake->m_TremorRadius)
 			{
 				++count;
diff --git a/src/g_shared/a_skies.cpp b/src/g_shared/a_skies.cpp
index 54661ea14..1915a260a 100644
--- a/src/g_shared/a_skies.cpp
+++ b/src/g_shared/a_skies.cpp
@@ -37,6 +37,7 @@
 #include "p_local.h"
 #include "p_lnspec.h"
 #include "farchive.h"
+#include "r_sky.h"
 
 // arg0 = Visibility*4 for this skybox
 
@@ -87,6 +88,24 @@ void ASkyViewpoint::Destroy ()
 class ASkyCamCompat : public ASkyViewpoint
 {
 	DECLARE_CLASS (ASkyCamCompat, ASkyViewpoint)
+
+	// skyboxify all tagged sectors
+	// This involves changing their texture to the sky flat, because while
+	// EE works with any texture for its skybox portals, ZDoom doesn't.
+	void SkyboxifySector(sector_t *sector, int plane)
+	{
+		// plane: 0=floor, 1=ceiling, 2=both
+		if (plane == 1 || plane == 2)
+		{
+			sector->CeilingSkyBox = this;
+			sector->SetTexture(sector_t::ceiling, skyflatnum, false);
+		}
+		if (plane == 0 || plane == 2)
+		{
+			sector->FloorSkyBox = this;
+			sector->SetTexture(sector_t::floor, skyflatnum, false);
+		}
+	}
 public:
 	void BeginPlay ();
 };
@@ -116,23 +135,35 @@ void ASkyCamCompat::BeginPlay ()
 				// Then, change the alpha
 				alpha = refline->args[4];
 
-				// Finally, skyboxify all tagged sectors
-				// This involves changing their texture to the sky flat, because while
-				// EE works with any texture for its skybox portals, ZDoom doesn't.
 				FSectorTagIterator it(skybox_id);
 				int secnum;
 				while ((secnum = it.Next()) >= 0)
 				{
-					// plane: 0=floor, 1=ceiling, 2=both
-					if (refline->args[2] == 1 || refline->args[2] == 2)
+					SkyboxifySector(&sectors[secnum], refline->args[2]);
+				}
+				// and finally, check for portal copy linedefs
+				for (int j=0;j<numlines;j++)
+				{
+					// Check if this portal needs to be copied to other sectors
+					// This must be done here to ensure that it gets done only after the portal is set up
+					if (lines[j].special == Sector_SetPortal &&
+						lines[j].args[1] == 1 &&
+						(lines[j].args[2] == refline->args[2] || lines[j].args[2] == 3) &&
+						lines[j].args[3] == skybox_id)
 					{
-						sectors[secnum].CeilingSkyBox = this;
-						sectors[secnum].SetTexture(sector_t::ceiling, skyflatnum, false);
-					}
-					if (refline->args[2] == 0 || refline->args[2] == 2)
-					{
-						sectors[secnum].FloorSkyBox = this;
-						sectors[secnum].SetTexture(sector_t::floor, skyflatnum, false);
+						if (lines[j].args[0] == 0)
+						{
+							SkyboxifySector(lines[j].frontsector, refline->args[2]);
+						}
+						else
+						{
+							FSectorTagIterator itr(lines[j].args[0]);
+							int s;
+							while ((s = itr.Next()) >= 0)
+							{
+								SkyboxifySector(&sectors[s], refline->args[2]);
+							}
+						}
 					}
 				}
 			}
diff --git a/src/g_shared/a_specialspot.cpp b/src/g_shared/a_specialspot.cpp
index fbfbbf550..d3994ed84 100644
--- a/src/g_shared/a_specialspot.cpp
+++ b/src/g_shared/a_specialspot.cpp
@@ -158,7 +158,7 @@ struct FSpotList
 
 		while (true)
 		{
-			distance = P_AproxDistance(Spots[i]->x - x, Spots[i]->y - y);
+			distance = Spots[i]->AproxDistance(x, y);
 
 			if ((distance >= mindist) && ((maxdist == 0) || (distance <= maxdist))) break;
 
diff --git a/src/g_shared/sbar_mugshot.cpp b/src/g_shared/sbar_mugshot.cpp
index b8f419ef0..ea1c8528e 100644
--- a/src/g_shared/sbar_mugshot.cpp
+++ b/src/g_shared/sbar_mugshot.cpp
@@ -366,7 +366,7 @@ int FMugShot::UpdateState(player_t *player, StateFlags stateflags)
 				if (player->mo != NULL)
 				{
 					// The next 12 lines are from the Doom statusbar code.
-					badguyangle = R_PointToAngle2(player->mo->x, player->mo->y, player->attacker->x, player->attacker->y);
+					badguyangle = player->mo->AngleTo(player->attacker);
 					if (badguyangle > player->mo->angle)
 					{
 						// whether right or left
diff --git a/src/g_strife/a_crusader.cpp b/src/g_strife/a_crusader.cpp
index 7ef0b24a1..cf5f03a23 100644
--- a/src/g_strife/a_crusader.cpp
+++ b/src/g_strife/a_crusader.cpp
@@ -11,9 +11,9 @@
 
 static bool CrusaderCheckRange (AActor *self)
 {
-	if (P_CheckSight (self, self->target) && self->reactiontime == 0)
+	if (self->reactiontime == 0 && P_CheckSight (self, self->target))
 	{
-		return P_AproxDistance (self->x - self->target->x, self->y - self->target->y) < 264*FRACUNIT;
+		return self->AproxDistance (self->target) < 264*FRACUNIT;
 	}
 	return false;
 }
diff --git a/src/g_strife/a_inquisitor.cpp b/src/g_strife/a_inquisitor.cpp
index 70ca805f8..1a0739d36 100644
--- a/src/g_strife/a_inquisitor.cpp
+++ b/src/g_strife/a_inquisitor.cpp
@@ -20,7 +20,7 @@ bool InquisitorCheckDistance (AActor *self)
 {
 	if (self->reactiontime == 0 && P_CheckSight (self, self->target))
 	{
-		return P_AproxDistance (self->x - self->target->x, self->y - self->target->y) < 264*FRACUNIT;
+		return self->AproxDistance (self->target) < 264*FRACUNIT;
 	}
 	return false;
 }
@@ -85,7 +85,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_InquisitorJump)
 	speed = self->Speed * 2/3;
 	self->velx += FixedMul (speed, finecosine[an]);
 	self->vely += FixedMul (speed, finesine[an]);
-	dist = P_AproxDistance (self->target->x - self->x, self->target->y - self->y);
+	dist = self->AproxDistance (self->target);
 	dist /= speed;
 	if (dist < 1)
 	{
diff --git a/src/g_strife/a_strifeweapons.cpp b/src/g_strife/a_strifeweapons.cpp
index a41058492..f5d4a3576 100644
--- a/src/g_strife/a_strifeweapons.cpp
+++ b/src/g_strife/a_strifeweapons.cpp
@@ -118,10 +118,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_JabDagger)
 		S_Sound (self, CHAN_WEAPON,
 			linetarget->flags & MF_NOBLOOD ? "misc/metalhit" : "misc/meathit",
 			1, ATTN_NORM);
-		self->angle = R_PointToAngle2 (self->x,
-										self->y,
-										linetarget->x,
-										linetarget->y);
+		self->angle = self->AngleTo(linetarget);
 		self->flags |= MF_JUSTATTACKED;
 		P_DaggerAlert (self, linetarget);
 	}
diff --git a/src/p_conversation.cpp b/src/p_conversation.cpp
index 85edc53ab..db5fd400c 100644
--- a/src/p_conversation.cpp
+++ b/src/p_conversation.cpp
@@ -1117,7 +1117,7 @@ void P_StartConversation (AActor *npc, AActor *pc, bool facetalker, bool saveang
 	if (facetalker)
 	{
 		A_FaceTarget (npc);
-		pc->angle = R_PointToAngle2 (pc->x, pc->y, npc->x, npc->y);
+		pc->angle = pc->AngleTo(npc);
 	}
 	if ((npc->flags & MF_FRIENDLY) || (npc->flags4 & MF4_NOHATEPLAYERS))
 	{
diff --git a/src/p_enemy.cpp b/src/p_enemy.cpp
index 5291101a5..7b7e27b2e 100644
--- a/src/p_enemy.cpp
+++ b/src/p_enemy.cpp
@@ -138,7 +138,7 @@ void P_RecursiveSound (sector_t *sec, AActor *soundtarget, bool splash, int soun
 	for (actor = sec->thinglist; actor != NULL; actor = actor->snext)
 	{
 		if (actor != soundtarget && (!splash || !(actor->flags4 & MF4_NOSPLASHALERT)) &&
-			(!maxdist || (P_AproxDistance(actor->x - emitter->x, actor->y - emitter->y) <= maxdist)))
+			(!maxdist || (actor->AproxDistance(emitter) <= maxdist)))
 		{
 			actor->LastHeard = soundtarget;
 		}
@@ -231,7 +231,7 @@ bool AActor::CheckMeleeRange ()
 	if (!pl)
 		return false;
 				
-	dist = P_AproxDistance (pl->x - x, pl->y - y);
+	dist = AproxDistance (pl);
 
 	if (dist >= meleerange + pl->radius)
 		return false;
@@ -275,7 +275,7 @@ bool P_CheckMeleeRange2 (AActor *actor)
 		return false;
 	}
 	mo = actor->target;
-	dist = P_AproxDistance (mo->x-actor->x, mo->y-actor->y);
+	dist = mo->AproxDistance (actor);
 	if (dist >= MELEERANGE*2 || dist < MELEERANGE-20*FRACUNIT + mo->radius)
 	{
 		return false;
@@ -348,8 +348,7 @@ bool P_CheckMissileRange (AActor *actor)
 
 	// OPTIMIZE: get this from a global checksight
 	// [RH] What?
-	dist = P_AproxDistance (actor->x-actor->target->x,
-							actor->y-actor->target->y) - 64*FRACUNIT;
+	dist = actor->AproxDistance (actor->target) - 64*FRACUNIT;
 	
 	if (actor->MeleeState == NULL)
 		dist -= 128*FRACUNIT;	// no melee attack, so fire more
@@ -393,8 +392,8 @@ bool P_HitFriend(AActor * self)
 
 	if (self->flags&MF_FRIENDLY && self->target != NULL)
 	{
-		angle_t angle = R_PointToAngle2 (self->x, self->y, self->target->x, self->target->y);
-		fixed_t dist = P_AproxDistance (self->x - self->target->x, self->y - self->target->y);
+		angle_t angle = self->AngleTo(self->target);
+		fixed_t dist = self->AproxDistance (self->target);
 		P_AimLineAttack (self, angle, dist, &linetarget, 0, true);
 		if (linetarget != NULL && linetarget != self->target)
 		{
@@ -450,7 +449,7 @@ bool P_Move (AActor *actor)
 
 	if ((actor->flags6 & MF6_JUMPDOWN) && target &&
 			!(target->IsFriend(actor)) &&
-			P_AproxDistance(actor->x - target->x, actor->y - target->y) < FRACUNIT*144 &&
+			actor->AproxDistance(target) < FRACUNIT*144 &&
 			pr_dropoff() < 235)
 	{
 		dropoff = 2;
@@ -933,7 +932,7 @@ void P_NewChaseDir(AActor * actor)
 		if (actor->flags3 & MF3_AVOIDMELEE)
 		{
 			bool ismeleeattacker = false;
-			fixed_t dist = P_AproxDistance(actor->x-target->x, actor->y-target->y);
+			fixed_t dist = actor->AproxDistance(target);
 			if (target->player == NULL)
 			{
 				ismeleeattacker = (target->MissileState == NULL && dist < (target->meleerange + target->radius)*2);
@@ -1151,7 +1150,7 @@ bool P_IsVisible(AActor *lookee, AActor *other, INTBOOL allaround, FLookExParams
 		fov = allaround ? 0 : ANGLE_180;
 	}
 
-	fixed_t dist = P_AproxDistance (other->x - lookee->x, other->y - lookee->y);
+	fixed_t dist = lookee->AproxDistance (other);
 
 	if (maxdist && dist > maxdist)
 		return false;			// [KS] too far
@@ -1161,7 +1160,7 @@ bool P_IsVisible(AActor *lookee, AActor *other, INTBOOL allaround, FLookExParams
 
 	if (fov && fov < ANGLE_MAX)
 	{
-		angle_t an = R_PointToAngle2 (lookee->x, lookee->y, other->x, other->y) - lookee->angle;
+		angle_t an = lookee->AngleTo(other) - lookee->angle;
 
 		if (an > (fov / 2) && an < (ANGLE_MAX - (fov / 2)))
 		{
@@ -1202,8 +1201,7 @@ bool P_LookForMonsters (AActor *actor)
 		{ // Not a valid monster
 			continue;
 		}
-		if (P_AproxDistance (actor->x-mo->x, actor->y-mo->y)
-			> MONS_LOOK_RANGE)
+		if (mo->AproxDistance (actor) > MONS_LOOK_RANGE)
 		{ // Out of range
 			continue;
 		}
@@ -1703,10 +1701,8 @@ bool P_LookForPlayers (AActor *actor, INTBOOL allaround, FLookExParams *params)
 			if ((player->mo->flags & MF_SHADOW && !(i_compatflags & COMPATF_INVISIBILITY)) ||
 				player->mo->flags3 & MF3_GHOST)
 			{
-				if ((P_AproxDistance (player->mo->x - actor->x,
-						player->mo->y - actor->y) > 2*MELEERANGE)
-					&& P_AproxDistance (player->mo->velx, player->mo->vely)
-					< 5*FRACUNIT)
+				if ((player->mo->AproxDistance (actor) > 2*MELEERANGE)
+					&& P_AproxDistance (player->mo->velx, player->mo->vely)	< 5*FRACUNIT)
 				{ // Player is sneaking - can't detect
 					continue;
 				}
@@ -1903,8 +1899,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_LookEx)
 				}
 				else
 				{
-					dist = P_AproxDistance (targ->x - self->x,
-											targ->y - self->y);
+					dist = self->AproxDistance (targ);
 
 					// [KS] If the target is too far away, don't respond to the sound.
 					if (maxheardist && dist > maxheardist)
@@ -1975,8 +1970,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_LookEx)
 			{
 				if (self->flags & MF_AMBUSH)
 				{
-					dist = P_AproxDistance (self->target->x - self->x,
-											self->target->y - self->y);
+					dist = self->AproxDistance (self->target);
 					if (P_CheckSight (self, self->target, SF_SEEPASTBLOCKEVERYTHING) &&
 						(!minseedist || dist > minseedist) &&
 						(!maxseedist || dist < maxseedist))
@@ -2390,12 +2384,12 @@ void A_DoChase (AActor *actor, bool fastchase, FState *meleestate, FState *missi
 			actor->FastChaseStrafeCount = 0;
 			actor->velx = 0;
 			actor->vely = 0;
-			fixed_t dist = P_AproxDistance (actor->x - actor->target->x, actor->y - actor->target->y);
+			fixed_t dist = actor->AproxDistance (actor->target);
 			if (dist < CLASS_BOSS_STRAFE_RANGE)
 			{
 				if (pr_chase() < 100)
 				{
-					angle_t ang = R_PointToAngle2(actor->x, actor->y, actor->target->x, actor->target->y);
+					angle_t ang = actor->AngleTo(actor->target);
 					if (pr_chase() < 128) ang += ANGLE_90;
 					else ang -= ANGLE_90;
 					actor->velx = 13 * finecosine[ang>>ANGLETOFINESHIFT];
@@ -2749,7 +2743,7 @@ void A_Face (AActor *self, AActor *other, angle_t max_turn, angle_t max_pitch, a
 
 	self->flags &= ~MF_AMBUSH;
 
-	angle_t other_angle = R_PointToAngle2 (self->x, self->y, other->x, other->y);
+	angle_t other_angle = self->AngleTo(other);
 
 	// 0 means no limit. Also, if we turn in a single step anyways, no need to go through the algorithms.
 	// It also means that there is no need to check for going past the other.
@@ -2922,10 +2916,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_MonsterRail)
 
 	self->flags &= ~MF_AMBUSH;
 		
-	self->angle = R_PointToAngle2 (self->x,
-									self->y,
-									self->target->x,
-									self->target->y);
+	self->angle = self->AngleTo(self->target);
 
 	self->pitch = P_AimLineAttack (self, self->angle, MISSILERANGE, &linetarget, ANGLE_1*60, 0, self->target);
 	if (linetarget == NULL)
@@ -2938,10 +2929,7 @@ DEFINE_ACTION_FUNCTION(AActor, A_MonsterRail)
 	}
 
 	// Let the aim trail behind the player
-	self->angle = R_PointToAngle2 (self->x,
-									self->y,
-									self->target->x - self->target->velx * 3,
-									self->target->y - self->target->vely * 3);
+	self->angle = self->AngleTo(self->target, -self->target->velx * 3, -self->target->vely * 3);
 
 	if (self->target->flags & MF_SHADOW && !(self->flags6 & MF6_SEEINVISIBLE))
 	{
diff --git a/src/p_interaction.cpp b/src/p_interaction.cpp
index b2e27adc8..240a77378 100644
--- a/src/p_interaction.cpp
+++ b/src/p_interaction.cpp
@@ -1164,7 +1164,7 @@ int P_DamageMobj (AActor *target, AActor *inflictor, AActor *source, int damage,
 			}
 			else
 			{
-				ang = R_PointToAngle2 (origin->x, origin->y, target->x, target->y);
+				ang = origin->AngleTo(target);
 			}
 
 			// Calculate this as float to avoid overflows so that the
diff --git a/src/p_map.cpp b/src/p_map.cpp
index 7aeb9d115..3381f763f 100644
--- a/src/p_map.cpp
+++ b/src/p_map.cpp
@@ -1075,8 +1075,8 @@ bool PIT_CheckThing(AActor *thing, FCheckPosition &tm)
 				 abs(thing->y - tm.thing->y) < (thing->radius+tm.thing->radius))
 
 		{
-			fixed_t newdist = P_AproxDistance(thing->x - tm.x, thing->y - tm.y);
-			fixed_t olddist = P_AproxDistance(thing->x - tm.thing->x, thing->y - tm.thing->y);
+			fixed_t newdist = thing->AproxDistance(tm.x, tm.y, tm.thing);
+			fixed_t olddist = thing->AproxDistance(tm.thing);
 
 			if (newdist > olddist)
 			{
@@ -1754,7 +1754,7 @@ void P_FakeZMovement(AActor *mo)
 	{ // float down towards target if too close
 		if (!(mo->flags & MF_SKULLFLY) && !(mo->flags & MF_INFLOAT))
 		{
-			fixed_t dist = P_AproxDistance(mo->x - mo->target->x, mo->y - mo->target->y);
+			fixed_t dist = mo->AproxDistance(mo->target);
 			fixed_t delta = (mo->target->z + (mo->height >> 1)) - mo->z;
 			if (delta < 0 && dist < -(delta * 3))
 				mo->z -= mo->FloatSpeed;
@@ -3066,7 +3066,7 @@ bool P_BounceActor(AActor *mo, AActor *BlockingMobj, bool ontop)
 		if (!ontop)
 		{
 			fixed_t speed;
-			angle_t angle = R_PointToAngle2(BlockingMobj->x,BlockingMobj->y, mo->x, mo->y) + ANGLE_1*((pr_bounce() % 16) - 8);
+			angle_t angle = BlockingMobj->AngleTo(mo) + ANGLE_1*((pr_bounce() % 16) - 8);
 			speed = P_AproxDistance(mo->velx, mo->vely);
 			speed = FixedMul(speed, mo->wallbouncefactor); // [GZ] was 0.75, using wallbouncefactor seems more consistent
 			mo->angle = angle;
@@ -4084,7 +4084,7 @@ void P_TraceBleed(int damage, AActor *target, AActor *missile)
 		pitch = 0;
 	}
 	P_TraceBleed(damage, target->x, target->y, target->z + target->height / 2,
-		target, R_PointToAngle2(missile->x, missile->y, target->x, target->y),
+		target, missile->AngleTo(target),
 		pitch);
 }
 
@@ -4853,7 +4853,7 @@ void P_RadiusAttack(AActor *bombspot, AActor *bombsource, int bombdamage, int bo
 								{
 									velz *= 0.8f;
 								}
-								angle_t ang = R_PointToAngle2(bombspot->x, bombspot->y, thing->x, thing->y) >> ANGLETOFINESHIFT;
+								angle_t ang = bombspot->AngleTo(thing) >> ANGLETOFINESHIFT;
 								thing->velx += fixed_t(finecosine[ang] * thrust);
 								thing->vely += fixed_t(finesine[ang] * thrust);
 								if (!(flags & RADF_NODAMAGE))
diff --git a/src/p_mobj.cpp b/src/p_mobj.cpp
index 3d0d8e072..750cc18fb 100644
--- a/src/p_mobj.cpp
+++ b/src/p_mobj.cpp
@@ -1556,7 +1556,7 @@ int P_FaceMobj (AActor *source, AActor *target, angle_t *delta)
 	angle_t angle2;
 
 	angle1 = source->angle;
-	angle2 = R_PointToAngle2 (source->x, source->y, target->x, target->y);
+	angle2 = source->AngleTo(target);
 	if (angle2 > angle1)
 	{
 		diff = angle2 - angle1;
@@ -1669,8 +1669,7 @@ bool P_SeekerMissile (AActor *actor, angle_t thresh, angle_t turnMax, bool preci
 			if (actor->z + actor->height < target->z ||
 				target->z + target->height < actor->z)
 			{ // Need to seek vertically
-				dist = P_AproxDistance (target->x - actor->x, target->y - actor->y);
-				dist = dist / speed;
+				dist = actor->AproxDistance (target) / speed;
 				if (dist < 1)
 				{
 					dist = 1;
@@ -2020,7 +2019,7 @@ fixed_t P_XYMovement (AActor *mo, fixed_t scrollx, fixed_t scrolly)
 					// Don't change the angle if there's THRUREFLECT on the monster.
 					if (!(BlockingMobj->flags7 & MF7_THRUREFLECT))
 					{
-						angle = R_PointToAngle2(BlockingMobj->x, BlockingMobj->y, mo->x, mo->y);
+						angle = BlockingMobj->AngleTo(mo);
 						bool dontReflect = (mo->AdjustReflectionAngle(BlockingMobj, angle));
 						// Change angle for deflection/reflection
 
@@ -2380,7 +2379,7 @@ void P_ZMovement (AActor *mo, fixed_t oldfloorz)
 	{	// float down towards target if too close
 		if (!(mo->flags & (MF_SKULLFLY | MF_INFLOAT)))
 		{
-			dist = P_AproxDistance (mo->x - mo->target->x, mo->y - mo->target->y);
+			dist = mo->AproxDistance (mo->target);
 			delta = (mo->target->z + (mo->height>>1)) - mo->z;
 			if (delta < 0 && dist < -(delta*3))
 				mo->z -= mo->FloatSpeed;
@@ -3089,8 +3088,7 @@ bool AActor::IsOkayToAttack (AActor *link)
 		// to only allow the check to succeed if the enemy was in a ~84� FOV of the player
 		if (flags3 & MF3_SCREENSEEKER)
 		{
-			angle_t angle = R_PointToAngle2(Friend->x, 
-				Friend->y, link->x, link->y) - Friend->angle;
+			angle_t angle = Friend->AngleTo(link) - Friend->angle;
 			angle >>= 24;
 			if (angle>226 || angle<30)
 			{
@@ -3392,7 +3390,7 @@ void AActor::Tick ()
 					if (health > 0
 						&& !players[i].Bot->enemy
 						&& player ? !IsTeammate (players[i].mo) : true
-						&& P_AproxDistance (players[i].mo->x-x, players[i].mo->y-y) < MAX_MONSTER_TARGET_DIST
+						&& AproxDistance (players[i].mo) < MAX_MONSTER_TARGET_DIST
 						&& P_CheckSight (players[i].mo, this, SF_SEEPASTBLOCKEVERYTHING))
 					{ //Probably a monster, so go kill it.
 						players[i].Bot->enemy = this;
@@ -5036,7 +5034,7 @@ AActor *P_SpawnPuff (AActor *source, const PClass *pufftype, fixed_t x, fixed_t
 		puff->target = source;
 	
 
-	if (source != NULL) puff->angle = R_PointToAngle2(x, y, source->x, source->y);
+	if (source != NULL) puff->angle = puff->AngleTo(source);
 
 	// If a puff has a crash state and an actor was not hit,
 	// it will enter the crash state. This is used by the StrifeSpark
@@ -5783,12 +5781,12 @@ AActor * P_OldSpawnMissile(AActor * source, AActor * owner, AActor * dest, const
 	P_PlaySpawnSound(th, source);
 	th->target = owner;		// record missile's originator
 
-	th->angle = an = R_PointToAngle2 (source->x, source->y, dest->x, dest->y);
+	th->angle = an = source->AngleTo(dest);
 	an >>= ANGLETOFINESHIFT;
 	th->velx = FixedMul (th->Speed, finecosine[an]);
 	th->vely = FixedMul (th->Speed, finesine[an]);
 
-	dist = P_AproxDistance (dest->x - source->x, dest->y - source->y);
+	dist = source->AproxDistance (dest);
 	if (th->Speed) dist = dist / th->Speed;
 
 	if (dist < 1)
@@ -5849,7 +5847,7 @@ AActor *P_SpawnMissileZAimed (AActor *source, fixed_t z, AActor *dest, const PCl
 	{
 		an += pr_spawnmissile.Random2() << 20;
 	}
-	dist = P_AproxDistance (dest->x - source->x, dest->y - source->y);
+	dist = source->AproxDistance (dest);
 	speed = GetDefaultSpeed (type);
 	dist /= speed;
 	velz = dist != 0 ? (dest->z - source->z)/dist : speed;
diff --git a/src/p_spec.cpp b/src/p_spec.cpp
index 918d07ed2..698cf4f72 100644
--- a/src/p_spec.cpp
+++ b/src/p_spec.cpp
@@ -2225,7 +2225,7 @@ void DPusher::Tick ()
 			{
 				int sx = m_X;
 				int sy = m_Y;
-				int dist = P_AproxDistance (thing->x - sx,thing->y - sy);
+				int dist = thing->AproxDistance (sx, sy);
 				int speed = (m_Magnitude - ((dist>>FRACBITS)>>1))<<(FRACBITS-PUSH_FACTOR-1);
 
 				// If speed <= 0, you're outside the effective radius. You also have
@@ -2233,7 +2233,7 @@ void DPusher::Tick ()
 
 				if ((speed > 0) && (P_CheckSight (thing, m_Source, SF_IGNOREVISIBILITY)))
 				{
-					angle_t pushangle = R_PointToAngle2 (thing->x, thing->y, sx, sy);
+					angle_t pushangle = thing->AngleTo(sx, sy);
 					if (m_Source->GetClass()->TypeName == NAME_PointPusher)
 						pushangle += ANG180;    // away
 					pushangle >>= ANGLETOFINESHIFT;
diff --git a/src/p_things.cpp b/src/p_things.cpp
index 7e38a3c68..631f1be5e 100644
--- a/src/p_things.cpp
+++ b/src/p_things.cpp
@@ -304,7 +304,8 @@ bool P_Thing_Projectile (int tid, AActor *source, int type, const char *type_nam
 						}
 						else
 						{
-nolead:						mobj->angle = R_PointToAngle2 (mobj->x, mobj->y, targ->x, targ->y);
+nolead:
+							mobj->angle = mobj->AngleTo(targ);
 							aim.Resize (fspeed);
 							mobj->velx = fixed_t(aim[0]);
 							mobj->vely = fixed_t(aim[1]);
diff --git a/src/thingdef/thingdef_codeptr.cpp b/src/thingdef/thingdef_codeptr.cpp
index 89299e0fa..b6575ee19 100644
--- a/src/thingdef/thingdef_codeptr.cpp
+++ b/src/thingdef/thingdef_codeptr.cpp
@@ -670,7 +670,7 @@ void DoJumpIfCloser(AActor *target, DECLARE_PARAMINFO)
 	// No target - no jump
 	if (!target)
 		return;
-	if (P_AproxDistance(self->x-target->x, self->y-target->y) < dist &&
+	if (self->AproxDistance(target) < dist &&
 		(noz || 
 		((self->z > target->z && self->z - (target->z + target->height) < dist) ||
 		(self->z <= target->z && target->z - (self->z + self->height) < dist))))
@@ -1487,10 +1487,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_CustomPunch)
 		if (!(flags & CPF_NOTURN))
 		{
 			// turn to face target
-			self->angle = R_PointToAngle2 (self->x,
-											self->y,
-											linetarget->x,
-											linetarget->y);
+			self->angle = self->AngleTo(linetarget);
 		}
 
 		if (flags & CPF_PULLIN) self->flags |= MF_JUSTATTACKED;
@@ -1614,10 +1611,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_CustomRailgun)
 
 	if (aim)
 	{
-		self->angle = R_PointToAngle2 (self->x,
-										self->y,
-										self->target->x,
-										self->target->y);
+		self->angle = self->AngleTo(self->target);
 	}
 	self->pitch = P_AimLineAttack (self, self->angle, MISSILERANGE, &linetarget, ANGLE_1*60, 0, aim ? self->target : NULL);
 	if (linetarget == NULL && aim)
@@ -1631,9 +1625,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_CustomRailgun)
 	// Let the aim trail behind the player
 	if (aim)
 	{
-		saved_angle = self->angle = R_PointToAngle2 (self->x, self->y,
-										self->target->x - self->target->velx * 3,
-										self->target->y - self->target->vely * 3);
+		saved_angle = self->angle = self->AngleTo(self->target, -self->target->velx * 3, -self->target->vely * 3);
 
 		if (aim == CRF_AIMDIRECT)
 		{
@@ -1642,9 +1634,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_CustomRailgun)
 			self->x += Spawnofs_XY * finecosine[self->angle];
 			self->y += Spawnofs_XY * finesine[self->angle];
 			Spawnofs_XY = 0;
-			self->angle = R_PointToAngle2 (self->x, self->y,
-											self->target->x - self->target->velx * 3,
-											self->target->y - self->target->vely * 3);
+			self->angle = self->AngleTo(self->target,- self->target->velx * 3, -self->target->vely * 3);
 		}
 
 		if (self->target->flags & MF_SHADOW)
@@ -3342,8 +3332,8 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_CheckLOF)
 
 		if (target)
 		{
-			FVector2 xyvec(target->x - x1, target->y - y1);
-			fixed_t distance = P_AproxDistance((fixed_t)xyvec.Length(), target->z - z1);
+			fixed_t xydist = self->Distance2D(target);
+			fixed_t distance = P_AproxDistance(xydist, target->z - z1);
 
 			if (range && !(flags & CLOFF_CHECKPARTIAL))
 			{
@@ -3357,7 +3347,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_CheckLOF)
 				{
 					ang = self->angle;
 				}
-				else ang = R_PointToAngle2 (x1, y1, target->x, target->y);
+				else ang = self->AngleTo (target);
 				
 				angle += ang;
 				
@@ -3372,11 +3362,11 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_CheckLOF)
 			}
 			else if (flags & CLOFF_AIM_VERT_NOOFFSET)
 			{
-				pitch += R_PointToAngle2 (0,0, (fixed_t)xyvec.Length(), target->z - z1 + offsetheight + target->height / 2);
+				pitch += R_PointToAngle2 (0,0, xydist, target->z - z1 + offsetheight + target->height / 2);
 			}
 			else
 			{
-				pitch += R_PointToAngle2 (0,0, (fixed_t)xyvec.Length(), target->z - z1 + target->height / 2);
+				pitch += R_PointToAngle2 (0,0, xydist, target->z - z1 + target->height / 2);
 			}
 		}
 		else if (flags & CLOFF_ALLOWNULL)
@@ -3546,8 +3536,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_JumpIfTargetInLOS)
 	// [FDARI] If actors share team, don't jump
 	if ((flags & JLOSF_ALLYNOJUMP) && self->IsFriend(target)) return;
 
-	fixed_t distance = P_AproxDistance(target->x - self->x, target->y - self->y);
-	distance = P_AproxDistance(distance, target->z - self->z);
+	fixed_t distance = self->AproxDistance3D(target);
 
 	if (dist_max && (distance > dist_max)) return;
 
@@ -3577,11 +3566,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_JumpIfTargetInLOS)
 
 	if (fov && (fov < ANGLE_MAX))
 	{
-		an = R_PointToAngle2 (viewport->x,
-							  viewport->y,
-							  target->x,
-							  target->y)
-			- viewport->angle;
+		an = viewport->AngleTo(target) - viewport->angle;
 
 		if (an > (fov / 2) && an < (ANGLE_MAX - (fov / 2)))
 		{
@@ -3635,8 +3620,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_JumpIfInTargetLOS)
 
 	if ((flags & JLOSF_DEADNOJUMP) && (target->health <= 0)) return;
 
-	fixed_t distance = P_AproxDistance(target->x - self->x, target->y - self->y);
-	distance = P_AproxDistance(distance, target->z - self->z);
+	fixed_t distance = self->AproxDistance3D(target);
 
 	if (dist_max && (distance > dist_max)) return;
 
@@ -3656,11 +3640,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_JumpIfInTargetLOS)
 
 	if (fov && (fov < ANGLE_MAX))
 	{
-		an = R_PointToAngle2 (target->x,
-							  target->y,
-							  self->x,
-							  self->y)
-			- target->angle;
+		an = target->AngleTo(self) - target->angle;
 
 		if (an > (fov / 2) && an < (ANGLE_MAX - (fov / 2)))
 		{
@@ -4590,7 +4570,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_WolfAttack)
 
 
 	// Target can dodge if it can see enemy
-	angle_t angle = R_PointToAngle2(self->target->x, self->target->y, self->x, self->y) - self->target->angle;
+	angle_t angle = self->target->AngleTo(self) - self->target->angle;
 	angle >>= 24;
 	bool dodge = (P_CheckSight(self->target, self) && (angle>226 || angle<30));
 
@@ -4629,7 +4609,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_WolfAttack)
 		dx = self->target->x;
 		dy = self->target->y;
 		dz = self->target->z + (self->target->height>>1);
-		angle = R_PointToAngle2(dx, dy, self->x, self->y);
+		angle = self->target->AngleTo(self);
 		
 		dx += FixedMul(self->target->radius, finecosine[angle>>ANGLETOFINESHIFT]);
 		dy += FixedMul(self->target->radius, finesine[angle>>ANGLETOFINESHIFT]);
@@ -4664,7 +4644,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_WolfAttack)
 			if (spawnblood)
 			{
 				P_SpawnBlood(dx, dy, dz, angle, newdam > 0 ? newdam : damage, self->target);
-				P_TraceBleed(newdam > 0 ? newdam : damage, self->target, R_PointToAngle2(self->x, self->y, dx, dy), 0);
+				P_TraceBleed(newdam > 0 ? newdam : damage, self->target, self->AngleTo(dx, dy, self->target), 0);
 			}
 		}
 	}
@@ -5950,7 +5930,7 @@ DEFINE_ACTION_FUNCTION_PARAMS(AActor, A_CheckProximity)
 			continue;
 
 		//Make sure it's in range and respect the desire for Z or not.
-		if (P_AproxDistance(ref->x - mo->x, ref->y - mo->y) < distance &&
+		if (ref->AproxDistance(mo) < distance &&
 			((flags & CPXF_NOZ) ||
 			((ref->z > mo->z && ref->z - (mo->z + mo->height) < distance) ||
 			(ref->z <= mo->z && mo->z - (ref->z + ref->height) < distance))))