Naive way to track swipes and taps. Just attach to a UI Element.

ListenToInput.cs

using UnityEngine;
using System.Collections;
using UnityEngine.EventSystems;

public enum MovementAction{
	None,
	Tap,
	SwipeLeft,
	SwipeRight,
	SwipeUp,
	SwipeDown
}

public class ListenToInputPanel : MonoBehaviour, IBeginDragHandler, IDragHandler, IEndDragHandler, IPointerUpHandler, IPointerDownHandler, IPointerClickHandler {
	static MovementAction movementAction = MovementAction.None;
	public static MovementAction ConsumeAction() {
		var ret = movementAction;
		movementAction = MovementAction.None;
		return ret;
	}

	public static MovementAction PeekAction() {
		return movementAction;
	}


	static bool dragging;
	public static bool Dragging{
		get{
			return dragging;
		}
	}

	Vector2 delta;
	public void OnBeginDrag (PointerEventData pointerEventData) {
		delta = pointerEventData.position;
	}
	public void OnDrag(PointerEventData pointerEventData){
		// Without me OnBeginDrag and OnEndDrag doesn't get called. Why not? Who knows? Not me.
	}
	public void OnEndDrag(PointerEventData pointerEventData) {
		delta = pointerEventData.position - delta;
		delta.Normalize ();
		if (delta.x < 0 && Mathf.Abs (delta.y) < 0.25f) {
			movementAction = MovementAction.SwipeLeft;
			return;
		}
		if (delta.x > 0 && Mathf.Abs (delta.y) < 0.25f) {
			movementAction = MovementAction.SwipeRight;
			return;
		}
		if (delta.y < 0) {
			movementAction = MovementAction.SwipeDown;
			return;
		}
		if (delta.y > 0) {
			movementAction = MovementAction.SwipeUp;
			return;
		}
	}

	public void OnPointerClick(PointerEventData pointerEventData){
		movementAction = MovementAction.Tap;
	}
	public void OnPointerUp(PointerEventData pointerEventData){
		dragging = false;
	}
	public void OnPointerDown(PointerEventData pointerEventData){		
		dragging = true;
	}
}