Merge branch 'new-conductor' into new-editors-conductor

# Conflicts:
#	source/funkin/editors/charter/Charter.hx
#	source/funkin/editors/charter/CharterBackdropGroup.hx
#	source/funkin/editors/charter/CharterEvent.hx

source/funkin/backend/utils/CoolUtil.hx

@@ -471,7 +471,7 @@ final class CoolUtil
 			}
 
 			var bpm:Null<Float> = Std.parseFloat(musicInfo["BPM"]).getDefault(DefaultBPM);
-			Conductor.changeBPM(bpm, beatsPerMeasure, stepsPerBeat);
+			Conductor.changeBPM(bpm, beatsPerMeasure, floorInt(stepsPerBeat));
 		} else
 			Conductor.changeBPM(DefaultBPM);
 	}

source/funkin/backend/utils/MathUtil.hx

@@ -73,6 +73,84 @@ final class MathUtil {
 		return min;
 	}
 
+	/**
+	 * Checks if a is less than b with considering a margin of error.
+	 * 
+	 * @param a Float
+	 * @param b Float
+	 * @param margin Float (Default: EPSILON)
+	 * 
+	 * @return Bool
+	**/
+	public static function lessThan(a:Float, b:Float, margin:Float = 0.0000001):Bool {
+		return a < b - margin;
+	}
+
+	/**
+	 * Checks if a is less than or equally b with considering a margin of error.
+	 * 
+	 * @param a Float
+	 * @param b Float
+	 * @param margin Float (Default: EPSILON)
+	 * 
+	 * @return Bool
+	**/
+	public static function lessThanEqual(a:Float, b:Float, margin:Float = 0.0000001):Bool {
+		return a <= b - margin;
+	}
+
+	/**
+	 * Checks if a is greater than b with considering a margin of error.
+	 * 
+	 * @param a Float
+	 * @param b Float
+	 * @param margin Float (Default: EPSILON)
+	 * 
+	 * @return Bool
+	**/
+	public static function greaterThan(a:Float, b:Float, margin:Float = 0.0000001):Bool {
+		return a > b + margin;
+	}
+
+	/**
+	 * Checks if a is greater than or equally b with considering a margin of error.
+	 * 
+	 * @param a Float
+	 * @param b Float
+	 * @param margin Float (Default: EPSILON)
+	 * 
+	 * @return Bool
+	**/
+	public static function greaterThanEqual(a:Float, b:Float, margin:Float = 0.0000001):Bool {
+		return a >= b + margin;
+	}
+
+	/**
+	 * Checks if a is approximately equal to b.
+	 * 
+	 * @param a Float
+	 * @param b Float
+	 * @param margin Float (Default: EPSILON)
+	 * 
+	 * @return Bool
+	**/
+	public static function equal(a:Float, b:Float, margin:Float = 0.0000001):Bool {
+		return Math.abs(a - b) <= margin;
+	}
+
+	/**
+	 * Checks if a are not approximately equal to b.
+	 * 
+	 * @param a Float
+	 * @param b Float
+	 * @param margin Float (Default: EPSILON)
+	 * 
+	 * @return Bool
+	**/
+	public static function notEqual(a:Float, b:Float, margin:Float = 0.0000001):Bool {
+		return Math.abs(a - b) > margin;
+	}
+
 	/**
 	 * Shortcut to `Math.max` but with infinite amount of arguments
 	 *