diff --git a/src/creature.cpp b/src/creature.cpp
index da0b416d2953a..9939d1a1149c0 100644
--- a/src/creature.cpp
+++ b/src/creature.cpp
@@ -1535,9 +1535,9 @@ units::mass Creature::weight_capacity() const
 /*
  * Drawing-related functions
  */
-void Creature::draw( const catacurses::window &w, int origin_x, int origin_y, bool inverted ) const
+void Creature::draw( const catacurses::window &w, const point &origin, bool inverted ) const
 {
-    draw( w, tripoint( origin_x, origin_y, posz() ), inverted );
+    draw( w, tripoint( origin, posz() ), inverted );
 }
 
 void Creature::draw( const catacurses::window &w, const tripoint &origin, bool inverted ) const
diff --git a/src/creature.h b/src/creature.h
index 523efabe5e86e..45edc38ac5032 100644
--- a/src/creature.h
+++ b/src/creature.h
@@ -35,6 +35,7 @@ class JsonOut;
 struct tripoint;
 class time_duration;
 class player;
+struct point;
 
 enum damage_type : int;
 enum m_flag : int;
@@ -491,7 +492,7 @@ class Creature
 
         int moves;
         bool underwater;
-        void draw( const catacurses::window &w, int origin_x, int origin_y, bool inverted ) const;
+        void draw( const catacurses::window &w, const point &origin, bool inverted ) const;
         void draw( const catacurses::window &w, const tripoint &origin, bool inverted ) const;
         /**
          * Write information about this creature.
diff --git a/src/editmap.cpp b/src/editmap.cpp
index 5c0b099dd924c..720f0be96f0ba 100644
--- a/src/editmap.cpp
+++ b/src/editmap.cpp
@@ -460,7 +460,7 @@ void editmap::uber_draw_ter( const catacurses::window &w, map *m )
                 if( game_map ) {
                     Creature *critter = g->critter_at( p );
                     if( critter != nullptr ) {
-                        critter->draw( w, center.x, center.y, false );
+                        critter->draw( w, center.xy(), false );
                     } else {
                         m->drawsq( w, g->u, p, false, draw_itm, center, false, true );
                     }
diff --git a/src/game.cpp b/src/game.cpp
index b0dc94906b4ec..0eb63023117b9 100644
--- a/src/game.cpp
+++ b/src/game.cpp
@@ -3327,7 +3327,7 @@ void game::draw_critter( const Creature &critter, const tripoint &center )
         return;
     }
     if( u.sees( critter ) || &critter == &u ) {
-        critter.draw( w_terrain, center.x, center.y, false );
+        critter.draw( w_terrain, center.xy(), false );
         return;
     }
 
@@ -10220,11 +10220,10 @@ void game::vertical_move( int movez, bool force )
         stored_mount = *u.mounted_creature.get();
     }
     if( !m.has_zlevels() ) {
-        const int to_x = u.posx();
-        const int to_y = u.posy();
+        const tripoint to = u.pos();
         for( monster &critter : all_monsters() ) {
-            int turns = critter.turns_to_reach( to_x, to_y );
-            if( turns < 10 && coming_to_stairs.size() < 8 && critter.will_reach( to_x, to_y )
+            int turns = critter.turns_to_reach( to.xy() );
+            if( turns < 10 && coming_to_stairs.size() < 8 && critter.will_reach( to.xy() )
                 && !slippedpast ) {
                 critter.staircount = 10 + turns;
                 critter.on_unload();
@@ -10584,27 +10583,26 @@ point game::update_map( player &p )
 
 point game::update_map( int &x, int &y )
 {
-    int shiftx = 0;
-    int shifty = 0;
+    point shift;
 
     while( x < HALF_MAPSIZE_X ) {
         x += SEEX;
-        shiftx--;
+        shift.x--;
     }
     while( x >= HALF_MAPSIZE_X + SEEX ) {
         x -= SEEX;
-        shiftx++;
+        shift.x++;
     }
     while( y < HALF_MAPSIZE_Y ) {
         y += SEEY;
-        shifty--;
+        shift.y--;
     }
     while( y >= HALF_MAPSIZE_Y + SEEY ) {
         y -= SEEY;
-        shifty++;
+        shift.y++;
     }
 
-    if( shiftx == 0 && shifty == 0 ) {
+    if( shift == point_zero ) {
         // adjust player position
         u.setpos( tripoint( x, y, get_levz() ) );
         // Not actually shifting the submaps, all the stuff below would do nothing
@@ -10612,15 +10610,16 @@ point game::update_map( int &x, int &y )
     }
 
     // this handles loading/unloading submaps that have scrolled on or off the viewport
-    m.shift( shiftx, shifty );
+    m.shift( shift.x, shift.y );
 
     // Shift monsters
-    shift_monsters( shiftx, shifty, 0 );
-    u.shift_destination( -shiftx * SEEX, -shifty * SEEY );
+    shift_monsters( shift.x, shift.y, 0 );
+    const point shift_ms = sm_to_ms_copy( shift );
+    u.shift_destination( -shift_ms );
 
     // Shift NPCs
     for( auto it = active_npc.begin(); it != active_npc.end(); ) {
-        ( *it )->shift( shiftx, shifty );
+        ( *it )->shift( shift.x, shift.y );
         if( ( *it )->posx() < 0 - SEEX * 2 || ( *it )->posy() < 0 - SEEX * 2 ||
             ( *it )->posx() > SEEX * ( MAPSIZE + 2 ) || ( *it )->posy() > SEEY * ( MAPSIZE + 2 ) ) {
             //Remove the npc from the active list. It remains in the overmap list.
@@ -10631,7 +10630,7 @@ point game::update_map( int &x, int &y )
         }
     }
 
-    scent.shift( shiftx * SEEX, shifty * SEEY );
+    scent.shift( shift_ms.x, shift_ms.y );
 
     // Also ensure the player is on current z-level
     // get_levz() should later be removed, when there is no longer such a thing
@@ -10661,7 +10660,7 @@ point game::update_map( int &x, int &y )
     // Update what parts of the world map we can see
     update_overmap_seen();
 
-    return point( shiftx, shifty );
+    return shift;
 }
 
 void game::update_overmap_seen()
@@ -10959,7 +10958,7 @@ void game::shift_monsters( const int shiftx, const int shifty, const int shiftz
     }
     for( monster &critter : all_monsters() ) {
         if( shiftx != 0 || shifty != 0 ) {
-            critter.shift( shiftx, shifty );
+            critter.shift( point( shiftx, shifty ) );
         }
 
         if( m.inbounds( critter.pos() ) && ( shiftz == 0 || m.has_zlevels() ) ) {
diff --git a/src/monmove.cpp b/src/monmove.cpp
index cd37d28d148f5..9cfd16a0f6c97 100644
--- a/src/monmove.cpp
+++ b/src/monmove.cpp
@@ -1690,7 +1690,7 @@ void monster::knock_back_to( const tripoint &to )
          Make sure that non-smashing monsters won't "teleport" through windows
          Injure monsters if they're gonna be walking through pits or whatever
  */
-bool monster::will_reach( int x, int y )
+bool monster::will_reach( const point &p )
 {
     monster_attitude att = attitude( &g->u );
     if( att != MATT_FOLLOW && att != MATT_ATTACK && att != MATT_FRIEND && att != MATT_ZLAVE ) {
@@ -1701,37 +1701,36 @@ bool monster::will_reach( int x, int y )
         return false;
     }
 
-    if( ( has_flag( MF_IMMOBILE ) || has_flag( MF_RIDEABLE_MECH ) ) && ( posx() != x ||
-            posy() != y ) ) {
+    if( ( has_flag( MF_IMMOBILE ) || has_flag( MF_RIDEABLE_MECH ) ) && ( pos().xy() != p ) ) {
         return false;
     }
 
-    auto path = g->m.route( pos(), tripoint( x, y, posz() ), get_pathfinding_settings() );
+    auto path = g->m.route( pos(), tripoint( p, posz() ), get_pathfinding_settings() );
     if( path.empty() ) {
         return false;
     }
 
     if( has_flag( MF_SMELLS ) && g->scent.get( pos() ) > 0 &&
-        g->scent.get( { x, y, posz() } ) > g->scent.get( pos() ) ) {
+        g->scent.get( { p, posz() } ) > g->scent.get( pos() ) ) {
         return true;
     }
 
-    if( can_hear() && wandf > 0 && rl_dist( wander_pos.x, wander_pos.y, x, y ) <= 2 &&
+    if( can_hear() && wandf > 0 && rl_dist( wander_pos.xy(), p ) <= 2 &&
         rl_dist( posx(), posy(), wander_pos.x, wander_pos.y ) <= wandf ) {
         return true;
     }
 
-    if( can_see() && sees( tripoint( x, y, posz() ) ) ) {
+    if( can_see() && sees( tripoint( p, posz() ) ) ) {
         return true;
     }
 
     return false;
 }
 
-int monster::turns_to_reach( int x, int y )
+int monster::turns_to_reach( const point &p )
 {
     // This function is a(n old) temporary hack that should soon be removed
-    auto path = g->m.route( pos(), tripoint( x, y, posz() ), get_pathfinding_settings() );
+    auto path = g->m.route( pos(), tripoint( p, posz() ), get_pathfinding_settings() );
     if( path.empty() ) {
         return 999;
     }
diff --git a/src/monster.cpp b/src/monster.cpp
index f61a34fc15dcf..bc05a0eb2728d 100644
--- a/src/monster.cpp
+++ b/src/monster.cpp
@@ -858,17 +858,13 @@ void monster::set_goal( const tripoint &p )
     goal = p;
 }
 
-void monster::shift( int sx, int sy )
-{
-    const int xshift = sx * SEEX;
-    const int yshift = sy * SEEY;
-    position.x -= xshift;
-    position.y -= yshift;
-    goal.x -= xshift;
-    goal.y -= yshift;
+void monster::shift( const point &sm_shift )
+{
+    const point ms_shift = sm_to_ms_copy( sm_shift );
+    position -= ms_shift;
+    goal -= ms_shift;
     if( wandf > 0 ) {
-        wander_pos.x -= xshift;
-        wander_pos.y -= yshift;
+        wander_pos -= ms_shift;
     }
 }
 
diff --git a/src/monster.h b/src/monster.h
index b1ad53efa6253..aded048161aff 100644
--- a/src/monster.h
+++ b/src/monster.h
@@ -157,7 +157,7 @@ class monster : public Creature
         Creature *attack_target(); // Returns the creature at the end of plans (if hostile)
 
         // Movement
-        void shift( int sx, int sy ); // Shifts the monster to the appropriate submap
+        void shift( const point &sp ); // Shifts the monster to the appropriate submap
         void set_goal( const tripoint &p );
         // Updates current pos AND our plans
         bool wander(); // Returns true if we have no plans
@@ -170,8 +170,8 @@ class monster : public Creature
          */
         bool can_move_to( const tripoint &p ) const;
 
-        bool will_reach( int x, int y ); // Do we have plans to get to (x, y)?
-        int  turns_to_reach( int x, int y ); // How long will it take?
+        bool will_reach( const point &p ); // Do we have plans to get to (x, y)?
+        int  turns_to_reach( const point &p ); // How long will it take?
 
         // Go in a straight line to p
         void set_dest( const tripoint &p );
diff --git a/src/player.cpp b/src/player.cpp
index f2df9434f4ea8..255cefb6d5dcd 100644
--- a/src/player.cpp
+++ b/src/player.cpp
@@ -10894,16 +10894,14 @@ bool player::defer_move( const tripoint &next )
     return true;
 }
 
-void player::shift_destination( int shiftx, int shifty )
+void player::shift_destination( const point &shift )
 {
     if( next_expected_position ) {
-        next_expected_position->x += shiftx;
-        next_expected_position->y += shifty;
+        *next_expected_position += shift;
     }
 
     for( auto &elem : auto_move_route ) {
-        elem.x += shiftx;
-        elem.y += shifty;
+        elem += shift;
     }
 }
 
diff --git a/src/player.h b/src/player.h
index 0b30eec692afe..09a37ba914b26 100644
--- a/src/player.h
+++ b/src/player.h
@@ -1508,7 +1508,7 @@ class player : public Character
         std::vector<tripoint> &get_auto_move_route();
         action_id get_next_auto_move_direction();
         bool defer_move( const tripoint &next );
-        void shift_destination( int shiftx, int shifty );
+        void shift_destination( const point &shift );
         void forced_dismount();
         void dismount();