Core/Movement: Implement spline movement subsystem.

Spline movement controls movements of server-side controlled units (monster movement, taxi movement, etc).
Proper implementation of effects such as charge, jump, cyclic movement will rely on it.
However, need improve our states system before.

Technical changes:

* Added linear, catmullrom and bezier3 splines which based on client's algorthims. They can be reused for proper transport position interpolation.
* Precission increased. There are no more position desync issues since client's position calculation formulas used.
* Now possible to move by paths with multiple points, send whole path to client.

--
Original author of research and implementation: SilverIce. Massive kudos.
Original port for Trinity (ref #4629) Chaplain and Venugh
With the following incremental fixes during my review:

- Restore flightmaster end grid pre-loading
- Fix uninitialized Creature::m_path_id
- Add missing trinity_string entries for .movegens command
- Fix a bug in WaypointMovementGenerator that would trigger unexpected pausing at waypoints for various amounts of time

Known issues:
- Errors like WaypointMovementGenerator::LoadPath creature XXX (Entry: YYYYY GUID: ZZZZZZ) doesn't have waypoint path id: 0.
This is caused by bad DB data. This commit didn't "break" it.

Do not forget to re-run CMake before compiling.

2 files changed, 4 insertions, 3 deletions

diff --git a/src/server/game/AI/ScriptedAI/ScriptedCreature.cpp b/src/server/game/AI/ScriptedAI/ScriptedCreature.cpp
index e3518cb6921..1b6fde6d132 100644
--- a/src/server/game/AI/ScriptedAI/ScriptedCreature.cpp
+++ b/src/server/game/AI/ScriptedAI/ScriptedCreature.cpp
@@ -298,7 +298,8 @@ void ScriptedAI::DoModifyThreatPercent(Unit* unit, int32 pct)
 void ScriptedAI::DoTeleportTo(float x, float y, float z, uint32 time)
 {
     me->Relocate(x, y, z);
-    me->SendMonsterMove(x, y, z, time);
+    float speed = me->GetDistance(x, y, z) / ((float)time * 0.001f);
+    me->MonsterMoveWithSpeed(x, y, z, speed);
 }
 
 void ScriptedAI::DoTeleportTo(const float position[4])
diff --git a/src/server/game/AI/ScriptedAI/ScriptedFollowerAI.cpp b/src/server/game/AI/ScriptedAI/ScriptedFollowerAI.cpp
index 1e0b212dd45..53747d0c799 100644
--- a/src/server/game/AI/ScriptedAI/ScriptedFollowerAI.cpp
+++ b/src/server/game/AI/ScriptedAI/ScriptedFollowerAI.cpp
@@ -167,7 +167,7 @@ void FollowerAI::EnterEvadeMode()
     {
         sLog->outDebug(LOG_FILTER_TSCR, "TSCR: FollowerAI left combat, returning to CombatStartPosition.");
 
-        if (me->GetMotionMaster()->GetCurrentMovementGeneratorType() == TARGETED_MOTION_TYPE)
+        if (me->GetMotionMaster()->GetCurrentMovementGeneratorType() == CHASE_MOTION_TYPE)
         {
             float fPosX, fPosY, fPosZ;
             me->GetPosition(fPosX, fPosY, fPosZ);
@@ -176,7 +176,7 @@ void FollowerAI::EnterEvadeMode()
     }
     else
     {
-        if (me->GetMotionMaster()->GetCurrentMovementGeneratorType() == TARGETED_MOTION_TYPE)
+        if (me->GetMotionMaster()->GetCurrentMovementGeneratorType() == CHASE_MOTION_TYPE)
             me->GetMotionMaster()->MoveTargetedHome();
     }