Line of Sight with Field of Vision code

I worked with a math major over some previous code on the forums that did this. We made some tweaks to the code so that a sphere was represented in two 180 degree half circles around the character. One is positive the right side and one is negative the left side.

function Player::lineOfSight( %this, %obj )
{
  %eyeTrans = %this.getEyeTransform();
  %eyeEnd = %obj.getWorldBoxCenter();
  %searchResult = containerRayCast(%eyeTrans, %eyeEnd, $TypeMasks::TerrainObjectType |
   $TypeMasks::InteriorObjectType | $TypeMasks::ItemObjectType | $TypeMasks::PlayerObjectType
   | $TypeMasks::StaticObjectType , %this);
	%foundObject = getword(%searchResult,0);
		
	if(%foundObject == %obj)
		{
		   %angle = Player::check2DAngletoTarget( %this, %obj );
		   if( %angle <= 45 && %angle >= -45 )
		   {
	         return true;
		   }
		}
		
	return false;
  
} // End of function line of sight which checks to see if the player can actually see what its looking at

function Player::check2DAngletoTarget(%this, %obj)
{
   %eyeVec = VectorNormalize(%this.getEyeVector());
   
   %eyeangle = %this.getAngleofVector(%eyeVec);
  
   %posVec = VectorSub(%obj.getPosition(), %this.getPosition());
   
   %posangle = %this.getAngleofVector(%posVec);
   
   %angle = %posangle - %eyeAngle;
   
   %angle = %angle ? %angle : %angle * -1;

   return %angle;
}

function Player::getAngleofVector(%this, %vec)
{
   %vector = VectorNormalize(%vec);
   %vecx = getWord(%vector,0);
   %vecy = getWord(%vector,1);
   
   if(%vecx >= 0 && %vecy >= 0)
      %quad = 1;
   else if(%vecx >= 0 && %vecy < 0)
      %quad = 2;
   else if(%vecx < 0 && %vecy < 0)
      %quad = 3;
   else
      %quad = 4;

   %angle = mATan(%vecy, %vecx);

   %degangle = mRadToDeg(%angle);

   switch(%quad)
   {
      case 1:
         %angle = %degangle;
      case 2:
         %angle = %degangle+360;
      case 3:
         %angle = %degangle+180;
      case 4:
         %angle = %degangle+90;
   }
   
   return %degangle;
}