Google as my automated testing tool

It is probably a well-known fact, but Google webmaster tools record errors when they crawl the website. Of course, first of all the website has to be submittet to Google. After that, the crawl errors can be accessed by selecting the website of interest and clicking Health. On the left side, Crawl Errors will be available.

I did not even know that this was available until I received an email from Google which informed me that there was an increase in server errors and provided me a link to review those errors.

Google Webmaster Tools

Looks like the website was generating about ~70 errors when crawled, and I did not know. When the number of errors increased to ~90, I got an email. The errors are listed and can be marked as fixed as I deal with the root cause.

Website Crawl Errors

Most errors were caused by my refactoring where I replaced direct access to the database with using the repository pattern, and did it carelessly.

Another reason was that I used a tool I found on the web to generate my website map and did not review it before uploading on the website. The map contained some links that were not supposed to be accessed directly. It is probably a good idea to review those links to verify they are really needed or can be replaced and if they are needed, remove them from the site map. I'll be tracking the errors from now on.

References

Webmaster tools
Crawl errors
Sitemap Generator
by Evgeny. Also posted on my website

Project ROSALIND: Rabbits and Recurrence Relations

I came across the project ROSALIND which is described as learning bioinformatics through problem solving. It is intriguing and well-designed, so I started with solving some introductory ones.

The first interesting problem was modified Fibonacchi sequence. Actually, I did not know that the background of the Fibonacci sequence was modelling of rabbit reproduction. It assumed that rabbits reach reproductive age after one month, and that every mature pair of rabbits produced a pair of newborn rabbits each month. A modified problem, however, suggested that every mature pair of rabbits produced k pairs of newborn rabbits each month. The task is to calculate a total number of rabbit pairs after n months, assuming we have one pair of newborn rabbits at the start.

While the problem could be solved by recursion, the cost of calculation would be high. Every successive month the program would re-calculate the full solution for each previous month. A better approach is dynamic programming (which, in essence, is just remembering and reusing the already calculated values). Here is the modified solution in C#.

/// <summary>
/// Modified Fibonacchi problem: each rabbit pair matures in 1 month and produces "pairs" of newborn rabbit pairs each month
/// </summary>
/// <param name="pairs">Number of newborn rabbit pairs produced by a mature pair each month</param>
/// <param name="to">Number of months</param>
/// <returns>Total number of rabbit pairs after "to" months</returns>
static Int64 Fibonacci(int pairs, int to)
{
 if (to == 0)
 {
  return 0;
 }

 Int64 mature = 0;
 Int64 young = 1;

 Int64 next_mature;
 Int64 next_young;
 Int64 result = 0;
 for (int i = 0; i < to; i++)
 {
  result = mature + young;

  next_mature = mature + young;
  next_young = mature * pairs;

  mature = next_mature;
  young = next_young;
 }
 return result;
}

Note: the result grows fast! When trying to use the default Int32 (32 bit, or up to ~2 billion) and calculate the result for 4 pairs and 32 months, the value overflowed at around month 23.

The next problem was another variation on the rabbit simulation. In this case, the rabbits are mortal and die after k months. My solution was to have a counter for rabbits of each age at each step. I keep the counters in the dictionary, where the key is the age of a rabbit pair and the value is the number of rabbit pairs of that age on that step.

/// <summary>
/// Mortal Rabbits Fibonacci sequence variation
/// </summary>
/// <param name="months">How many months does the simulation run for</param>
/// <param name="lifespan">Rabbit lifespan</param>
/// <returns>A count of rabbit pairs alive at the end</returns>
static UInt64 MortalRabbits(int months, int lifespan)
{
 Dictionary<int, UInt64> dRabbits = GetEmptyDictionary(lifespan);
 dRabbits[0]++;

 for (int i = 0; i < months - 1; i++)
 {
  Dictionary<int, UInt64> newRabbits = GetEmptyDictionary(lifespan);
  foreach (KeyValuePair<int, UInt64> pair in dRabbits)
  {
   int age = pair.Key;

   if (age == 0)
   {
    newRabbits[1] = newRabbits[1] + dRabbits[age];
   }
   else if (age > 0 && age < lifespan - 1)
   {
    newRabbits[age + 1] = newRabbits[age + 1] + dRabbits[age];
    newRabbits[0] = newRabbits[0] + dRabbits[age];
   }
   else if (age == lifespan - 1)
   {
    newRabbits[0] = newRabbits[0] + dRabbits[age];
   }
  }
  dRabbits = newRabbits;
 }

 UInt64 count = 0;
 foreach (KeyValuePair<int, UInt64> pair in dRabbits)
 {
  count = count + pair.Value;
 }

 return count;
}

/// <summary>
/// Creates an dictionary where keys are integers from 0 to lifespan - 1, and all values are zeros
/// </summary>
/// <param name="lifespan"></param>
/// <returns>An empty dictionary</returns>
static Dictionary<int, UInt64> GetEmptyDictionary(int lifespan)
{
 Dictionary<int, UInt64> dRabbits = new Dictionary<int, UInt64>();

 for (int i = 0; i < lifespan; i++)
 {
  dRabbits.Add(i, 0);
 }
 return dRabbits;
}

References

Project ROSALIND
Modified Fibonacci Problem
Mortal Fibonacci Rabbits
Fibonacci Series
by Evgeny. Also posted on my website