Exemplo n.º 1
0
        public void TestLimitOfPatternElevationLemma()
        {
            UInt32 max = 5;

            UInt32[] previousPattern = PatternResearch.CreatePrimeIntervalPattern(1);

            for (UInt32 i = 2; i <= max; i++)
            {
                Console.WriteLine("At Prime Index {0} (PrimeValue {1})", i, PrimeTable.Values[i]);

                UInt32[] currentPattern = PatternResearch.CreatePrimeIntervalPattern(i);


                UInt32 sum = 1 + currentPattern[0];
                // Verify first
                Assert.AreEqual(currentPattern[0], previousPattern[0] + previousPattern[1]);
                //Console.WriteLine(currentPattern[0]);

                for (int j = 2; j < previousPattern.Length; j++)
                {
                    if (currentPattern[j - 1] != previousPattern[j])
                    {
                        Console.WriteLine("Mismatch at value {0}: sequence index {1} ({2} != {3})", sum, j - 1, currentPattern[j - 1], previousPattern[j]);
                        break;
                    }
                    sum += currentPattern[j - 1];
                }

                previousPattern = currentPattern;
            }
        }
Exemplo n.º 2
0
 void PrettyFormatPrintCoprimeIntervalPatterns(UInt32 maxPrimeIndex)
 {
     UInt32[] pattern = PatternResearch.CreatePrimeIntervalPattern(maxPrimeIndex);
     Console.Write("MaxPrime {0,6}: ", PrimeTable.Values[maxPrimeIndex]);
     for (Int32 i = 0; i < pattern.Length; i++)
     {
         Console.Write("{0,5}", pattern[i]);
     }
     Console.WriteLine();
 }
Exemplo n.º 3
0
        public void AnalyzeDifferenceInCoprimeIntervalSequences()
        {
            UInt32 max = 5;

            UInt32[] previousPattern = PatternResearch.CreatePrimeIntervalPattern(1);

            for (UInt32 i = 2; i <= max; i++)
            {
                Console.WriteLine("At Prime Index {0} Value {1}", i, PrimeTable.Values[i]);
                UInt32 totalValuesKnockedOutFromPreviousSequence = 0;

                UInt32[] currentPattern = PatternResearch.CreatePrimeIntervalPattern(i);


                UInt32 previousPatternIndex = 0;
                UInt32 currentPatternIndex  = 0;

                while (currentPatternIndex < currentPattern.Length)
                {
                    UInt32 currentPatternInterval = currentPattern[currentPatternIndex++];
                    if (currentPatternInterval == previousPattern[previousPatternIndex])
                    {
                        previousPatternIndex++;
                        if (previousPatternIndex >= previousPattern.Length)
                        {
                            previousPatternIndex = 0;
                        }
                    }
                    else
                    {
                        // Find the sum of the previous patterns
                        UInt32 previousPatternIntervalSum = previousPattern[previousPatternIndex];
                        while (true)
                        {
                            previousPatternIndex++;
                            if (previousPatternIndex >= previousPattern.Length)
                            {
                                previousPatternIndex = 0;
                            }

                            previousPatternIntervalSum += previousPattern[previousPatternIndex];
                            totalValuesKnockedOutFromPreviousSequence++;

                            if (previousPatternIntervalSum > currentPatternInterval)
                            {
                                throw new InvalidOperationException(String.Format(
                                                                        "previousPatternIntervalSum {0} is greater than currentPatternInterval {1}", previousPatternIntervalSum, currentPatternInterval));
                            }

                            if (previousPatternIntervalSum == currentPatternInterval)
                            {
                                //Console.WriteLine("CurrentPattern knocked out {0} numbers from previous pattern", sumValueCount);
                                previousPatternIndex++;
                                if (previousPatternIndex >= previousPattern.Length)
                                {
                                    previousPatternIndex = 0;
                                }
                                break;
                            }
                        }
                    }
                }

                Console.WriteLine("CurrentPattern knocked out {0} numbers from previous pattern", totalValuesKnockedOutFromPreviousSequence);
                previousPattern = currentPattern;
            }
        }