/// <returns> the 3 best {@link FinderPattern}s from our list of candidates. The "best" are
		/// those that have been detected at least {@link #CENTER_QUORUM} times, and whose module
		/// size differs from the average among those patterns the least
		/// </returns>
		/// <throws>  ReaderException if 3 such finder patterns do not exist </throws>
		private FinderPattern[][] selectBestPatterns()
		{
			System.Collections.ArrayList possibleCenters = PossibleCenters;
			int size = possibleCenters.Count;
			
			if (size < 3)
			{
				// Couldn't find enough finder patterns
				throw ReaderException.Instance;
			}
			
			/*
			* Begin HE modifications to safely detect multiple codes of equal size
			*/
			if (size == 3)
			{
				return new FinderPattern[][]{new FinderPattern[]{(FinderPattern) possibleCenters[0], (FinderPattern) possibleCenters[1], (FinderPattern) possibleCenters[2]}};
			}
			
			// Sort by estimated module size to speed up the upcoming checks
			Collections.insertionSort(possibleCenters, new ModuleSizeComparator());
			
			/*
			* Now lets start: build a list of tuples of three finder locations that
			*  - feature similar module sizes
			*  - are placed in a distance so the estimated module count is within the QR specification
			*  - have similar distance between upper left/right and left top/bottom finder patterns
			*  - form a triangle with 90° angle (checked by comparing top right/bottom left distance
			*    with pythagoras)
			*
			* Note: we allow each point to be used for more than one code region: this might seem
			* counterintuitive at first, but the performance penalty is not that big. At this point,
			* we cannot make a good quality decision whether the three finders actually represent
			* a QR code, or are just by chance layouted so it looks like there might be a QR code there.
			* So, if the layout seems right, lets have the decoder try to decode.     
			*/
			
			System.Collections.ArrayList results = System.Collections.ArrayList.Synchronized(new System.Collections.ArrayList(10)); // holder for the results
			
			for (int i1 = 0; i1 < (size - 2); i1++)
			{
				FinderPattern p1 = (FinderPattern) possibleCenters[i1];
				if (p1 == null)
				{
					continue;
				}
				
				for (int i2 = i1 + 1; i2 < (size - 1); i2++)
				{
					FinderPattern p2 = (FinderPattern) possibleCenters[i2];
					if (p2 == null)
					{
						continue;
					}
					
					// Compare the expected module sizes; if they are really off, skip
					float vModSize12 = (p1.EstimatedModuleSize - p2.EstimatedModuleSize) / (System.Math.Min(p1.EstimatedModuleSize, p2.EstimatedModuleSize));
					float vModSize12A = System.Math.Abs(p1.EstimatedModuleSize - p2.EstimatedModuleSize);
					if (vModSize12A > DIFF_MODSIZE_CUTOFF && vModSize12 >= DIFF_MODSIZE_CUTOFF_PERCENT)
					{
						// break, since elements are ordered by the module size deviation there cannot be
						// any more interesting elements for the given p1.
						break;
					}
					
					for (int i3 = i2 + 1; i3 < size; i3++)
					{
						FinderPattern p3 = (FinderPattern) possibleCenters[i3];
						if (p3 == null)
						{
							continue;
						}
						
						// Compare the expected module sizes; if they are really off, skip
						float vModSize23 = (p2.EstimatedModuleSize - p3.EstimatedModuleSize) / (System.Math.Min(p2.EstimatedModuleSize, p3.EstimatedModuleSize));
						float vModSize23A = System.Math.Abs(p2.EstimatedModuleSize - p3.EstimatedModuleSize);
						if (vModSize23A > DIFF_MODSIZE_CUTOFF && vModSize23 >= DIFF_MODSIZE_CUTOFF_PERCENT)
						{
							// break, since elements are ordered by the module size deviation there cannot be
							// any more interesting elements for the given p1.
							break;
						}
						
						FinderPattern[] test = new FinderPattern[]{p1, p2, p3};
						ResultPoint.orderBestPatterns(test);
						
						// Calculate the distances: a = topleft-bottomleft, b=topleft-topright, c = diagonal
						FinderPatternInfo info = new FinderPatternInfo(test);
						float dA = ResultPoint.distance(info.TopLeft, info.BottomLeft);
						float dC = ResultPoint.distance(info.TopRight, info.BottomLeft);
						float dB = ResultPoint.distance(info.TopLeft, info.TopRight);
						
						// Check the sizes
						float estimatedModuleCount = ((dA + dB) / p1.EstimatedModuleSize) / 2;
						if (estimatedModuleCount > MAX_MODULE_COUNT_PER_EDGE || estimatedModuleCount < MIN_MODULE_COUNT_PER_EDGE)
						{
							continue;
						}
						
						// Calculate the difference of the edge lengths in percent
						float vABBC = System.Math.Abs(((dA - dB) / System.Math.Min(dA, dB)));
						if (vABBC >= 0.1f)
						{
							continue;
						}
						
						// Calculate the diagonal length by assuming a 90° angle at topleft
						//UPGRADE_WARNING: Data types in Visual C# might be different.  Verify the accuracy of narrowing conversions. "ms-help://MS.VSCC.v80/dv_commoner/local/redirect.htm?index='!DefaultContextWindowIndex'&keyword='jlca1042'"
						float dCpy = (float) System.Math.Sqrt(dA * dA + dB * dB);
						// Compare to the real distance in %
						float vPyC = System.Math.Abs(((dC - dCpy) / System.Math.Min(dC, dCpy)));
						
						if (vPyC >= 0.1f)
						{
							continue;
						}
						
						// All tests passed!
						results.Add(test);
					} // end iterate p3
				} // end iterate p2
			} // end iterate p1
			
			if (!(results.Count == 0))
			{
				FinderPattern[][] resultArray = new FinderPattern[results.Count][];
				for (int i = 0; i < results.Count; i++)
				{
					resultArray[i] = (FinderPattern[]) results[i];
				}
				return resultArray;
			}
			
			// Nothing found!
			throw ReaderException.Instance;
		}
        /// <returns> the 3 best {@link FinderPattern}s from our list of candidates. The "best" are
        /// those that have been detected at least {@link #CENTER_QUORUM} times, and whose module
        /// size differs from the average among those patterns the least
        /// </returns>
        /// <throws>  ReaderException if 3 such finder patterns do not exist </throws>
        private FinderPattern[][] selectBestPatterns()
        {
            System.Collections.ArrayList possibleCenters = PossibleCenters;
            int size = possibleCenters.Count;

            if (size < 3)
            {
                // Couldn't find enough finder patterns
                throw ReaderException.Instance;
            }

            /*
             * Begin HE modifications to safely detect multiple codes of equal size
             */
            if (size == 3)
            {
                return(new FinderPattern[][] { new FinderPattern[] { (FinderPattern)possibleCenters[0], (FinderPattern)possibleCenters[1], (FinderPattern)possibleCenters[2] } });
            }

            // Sort by estimated module size to speed up the upcoming checks
            Collections.insertionSort(possibleCenters, new ModuleSizeComparator());

            /*
             * Now lets start: build a list of tuples of three finder locations that
             *  - feature similar module sizes
             *  - are placed in a distance so the estimated module count is within the QR specification
             *  - have similar distance between upper left/right and left top/bottom finder patterns
             *  - form a triangle with 90° angle (checked by comparing top right/bottom left distance
             *    with pythagoras)
             *
             * Note: we allow each point to be used for more than one code region: this might seem
             * counterintuitive at first, but the performance penalty is not that big. At this point,
             * we cannot make a good quality decision whether the three finders actually represent
             * a QR code, or are just by chance layouted so it looks like there might be a QR code there.
             * So, if the layout seems right, lets have the decoder try to decode.
             */

            System.Collections.ArrayList results = System.Collections.ArrayList.Synchronized(new System.Collections.ArrayList(10));             // holder for the results

            for (int i1 = 0; i1 < (size - 2); i1++)
            {
                FinderPattern p1 = (FinderPattern)possibleCenters[i1];
                if (p1 == null)
                {
                    continue;
                }

                for (int i2 = i1 + 1; i2 < (size - 1); i2++)
                {
                    FinderPattern p2 = (FinderPattern)possibleCenters[i2];
                    if (p2 == null)
                    {
                        continue;
                    }

                    // Compare the expected module sizes; if they are really off, skip
                    float vModSize12  = (p1.EstimatedModuleSize - p2.EstimatedModuleSize) / (System.Math.Min(p1.EstimatedModuleSize, p2.EstimatedModuleSize));
                    float vModSize12A = System.Math.Abs(p1.EstimatedModuleSize - p2.EstimatedModuleSize);
                    if (vModSize12A > DIFF_MODSIZE_CUTOFF && vModSize12 >= DIFF_MODSIZE_CUTOFF_PERCENT)
                    {
                        // break, since elements are ordered by the module size deviation there cannot be
                        // any more interesting elements for the given p1.
                        break;
                    }

                    for (int i3 = i2 + 1; i3 < size; i3++)
                    {
                        FinderPattern p3 = (FinderPattern)possibleCenters[i3];
                        if (p3 == null)
                        {
                            continue;
                        }

                        // Compare the expected module sizes; if they are really off, skip
                        float vModSize23  = (p2.EstimatedModuleSize - p3.EstimatedModuleSize) / (System.Math.Min(p2.EstimatedModuleSize, p3.EstimatedModuleSize));
                        float vModSize23A = System.Math.Abs(p2.EstimatedModuleSize - p3.EstimatedModuleSize);
                        if (vModSize23A > DIFF_MODSIZE_CUTOFF && vModSize23 >= DIFF_MODSIZE_CUTOFF_PERCENT)
                        {
                            // break, since elements are ordered by the module size deviation there cannot be
                            // any more interesting elements for the given p1.
                            break;
                        }

                        FinderPattern[] test = new FinderPattern[] { p1, p2, p3 };
                        ResultPoint.orderBestPatterns(test);

                        // Calculate the distances: a = topleft-bottomleft, b=topleft-topright, c = diagonal
                        FinderPatternInfo info = new FinderPatternInfo(test);
                        float             dA   = ResultPoint.distance(info.TopLeft, info.BottomLeft);
                        float             dC   = ResultPoint.distance(info.TopRight, info.BottomLeft);
                        float             dB   = ResultPoint.distance(info.TopLeft, info.TopRight);

                        // Check the sizes
                        float estimatedModuleCount = ((dA + dB) / p1.EstimatedModuleSize) / 2;
                        if (estimatedModuleCount > MAX_MODULE_COUNT_PER_EDGE || estimatedModuleCount < MIN_MODULE_COUNT_PER_EDGE)
                        {
                            continue;
                        }

                        // Calculate the difference of the edge lengths in percent
                        float vABBC = System.Math.Abs(((dA - dB) / System.Math.Min(dA, dB)));
                        if (vABBC >= 0.1f)
                        {
                            continue;
                        }

                        // Calculate the diagonal length by assuming a 90° angle at topleft
                        //UPGRADE_WARNING: Data types in Visual C# might be different.  Verify the accuracy of narrowing conversions. "ms-help://MS.VSCC.v80/dv_commoner/local/redirect.htm?index='!DefaultContextWindowIndex'&keyword='jlca1042'"
                        float dCpy = (float)System.Math.Sqrt(dA * dA + dB * dB);
                        // Compare to the real distance in %
                        float vPyC = System.Math.Abs(((dC - dCpy) / System.Math.Min(dC, dCpy)));

                        if (vPyC >= 0.1f)
                        {
                            continue;
                        }

                        // All tests passed!
                        results.Add(test);
                    }     // end iterate p3
                }         // end iterate p2
            }             // end iterate p1

            if (!(results.Count == 0))
            {
                FinderPattern[][] resultArray = new FinderPattern[results.Count][];
                for (int i = 0; i < results.Count; i++)
                {
                    resultArray[i] = (FinderPattern[])results[i];
                }
                return(resultArray);
            }

            // Nothing found!
            throw ReaderException.Instance;
        }