/// <summary>
/// Run example
/// </summary>
public void Run()
{
// 1. Generate 20 samples of the function f(x) = x on interval [-5, 5]
Console.WriteLine(@"1. Generate 20 samples of the function f(x) = x on interval [-5, 5]");
double[] points;
var values = SignalGenerator.EquidistantInterval(TargetFunction, -5, 5, 20, out points);
Console.WriteLine();
// 2. Create a burlish stoer rational interpolation based on arbitrary points
var method = Interpolate.RationalWithPoles(points, values);
Console.WriteLine(@"2. Create a burlish stoer rational interpolation based on arbitrary points");
Console.WriteLine();
// 3. Check if interpolation support integration
Console.WriteLine(@"3. Support integration = {0}", method.SupportsIntegration);
Console.WriteLine();
// 4. Check if interpolation support differentiation
Console.WriteLine(@"4. Support differentiation = {0}", method.SupportsDifferentiation);
Console.WriteLine();
// 5. Interpolate ten random points and compare to function results
Console.WriteLine(@"5. Interpolate ten random points and compare to function results");
var rng = new MersenneTwister(1);
for (var i = 0; i < 10; i++)
{
// Generate random value from [0, 5]
var point = rng.Next(0, 5);
Console.WriteLine(@"Interpolate at {0} = {1}. Function({0}) = {2}", point.ToString("N05"), method.Interpolate(point).ToString("N05"), TargetFunction(point).ToString("N05"));
}
Console.WriteLine();
}
/// <summary>
/// Run example
/// </summary>
/// <seealso cref="http://en.wikipedia.org/wiki/Random_number_generation">Random number generation</seealso>
/// <seealso cref="http://en.wikipedia.org/wiki/Linear_congruential_generator">Linear congruential generator</seealso>
/// <seealso cref="http://en.wikipedia.org/wiki/Mersenne_twister">Mersenne twister</seealso>
/// <seealso cref="http://en.wikipedia.org/wiki/Lagged_Fibonacci_generator">Lagged Fibonacci generator</seealso>
/// <seealso cref="http://en.wikipedia.org/wiki/Xorshift">Xorshift</seealso>
public void Run()
{
// All RNG classes in MathNet have next counstructors:
// - RNG(int seed, bool threadSafe): initializes a new instance with specific seed value and thread safe property
// - RNG(int seed): iуууnitializes a new instance with specific seed value. Thread safe property is set to Control.ThreadSafeRandomNumberGenerators
// - RNG(bool threadSafe) : initializes a new instance with the seed value set to DateTime.Now.Ticks and specific thread safe property
// - RNG(bool threadSafe) : initializes a new instance with the seed value set to DateTime.Now.Ticks and thread safe property set to Control.ThreadSafeRandomNumberGenerators
// All RNG classes in MathNet have next methods to produce random values:
// - double[] NextDouble(int n): returns an "n"-size array of uniformly distributed random doubles in the interval [0.0,1.0];
// - int Next(): returns a nonnegative random number;
// - int Next(int maxValue): returns a random number less then a specified maximum;
// - int Next(int minValue, int maxValue): returns a random number within a specified range;
// - void NextBytes(byte[] buffer): fills the elements of a specified array of bytes with random numbers;
// All RNG classes in MathNet have next extension methods to produce random values:
// - long NextInt64(): returns a nonnegative random number less than "Int64.MaxValue";
// - int NextFullRangeInt32(): returns a random number of the full Int32 range;
// - long NextFullRangeInt64(): returns a random number of the full Int64 range;
// - decimal NextDecimal(): returns a nonnegative decimal floating point random number less than 1.0;
// 1. Multiplicative congruential generator using a modulus of 2^31-1 and a multiplier of 1132489760
var mcg31M1 = new Mcg31m1(1);
Console.WriteLine(@"1. Generate 10 random double values using Multiplicative congruential generator with a modulus of 2^31-1 and a multiplier of 1132489760");
var randomValues = mcg31M1.NextDouble(10);
for (var i = 0; i < randomValues.Length; i++)
{
Console.Write(randomValues[i].ToString("N") + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 2. Multiplicative congruential generator using a modulus of 2^59 and a multiplier of 13^13
var mcg59 = new Mcg59(1);
Console.WriteLine(@"2. Generate 10 random integer values using Multiplicative congruential generator with a modulus of 2^59 and a multiplier of 13^13");
for (var i = 0; i < 10; i++)
{
Console.Write(mcg59.Next() + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 3. Random number generator using Mersenne Twister 19937 algorithm
var mersenneTwister = new MersenneTwister(1);
Console.WriteLine(@"3. Generate 10 random integer values less then 100 using Mersenne Twister 19937 algorithm");
for (var i = 0; i < 10; i++)
{
Console.Write(mersenneTwister.Next(100) + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 4. Multiple recursive generator with 2 components of order 3
var mrg32K3A = new Mrg32k3a(1);
Console.WriteLine(@"4. Generate 10 random integer values in range [50;100] using multiple recursive generator with 2 components of order 3");
for (var i = 0; i < 10; i++)
{
Console.Write(mrg32K3A.Next(50, 100) + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 5. Parallel Additive Lagged Fibonacci pseudo-random number generator
var palf = new Palf(1);
Console.WriteLine(@"5. Generate 10 random bytes using Parallel Additive Lagged Fibonacci pseudo-random number generator");
var bytes = new byte[10];
palf.NextBytes(bytes);
for (var i = 0; i < bytes.Length; i++)
{
Console.Write(bytes[i] + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 6. A random number generator based on the "System.Security.Cryptography.RandomNumberGenerator" class in the .NET library
var systemCryptoRandomNumberGenerator = new SystemCryptoRandomNumberGenerator();
Console.WriteLine(@"6. Generate 10 random decimal values using RNG based on the 'System.Security.Cryptography.RandomNumberGenerator'");
for (var i = 0; i < 10; i++)
{
Console.Write(systemCryptoRandomNumberGenerator.NextDecimal().ToString("N") + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 7. Wichmann-Hill’s 1982 combined multiplicative congruential generator
var rngWh1982 = new WH1982();
Console.WriteLine(@"7. Generate 10 random full Int32 range values using Wichmann-Hill’s 1982 combined multiplicative congruential generator");
for (var i = 0; i < 10; i++)
{
Console.Write(rngWh1982.NextFullRangeInt32() + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 8. Wichmann-Hill’s 2006 combined multiplicative congruential generator.
var rngWh2006 = new WH2006();
Console.WriteLine(@"8. Generate 10 random full Int64 range values using Wichmann-Hill’s 2006 combined multiplicative congruential generator");
for (var i = 0; i < 10; i++)
{
Console.Write(rngWh2006.NextFullRangeInt32() + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 9. Multiply-with-carry Xorshift pseudo random number generator
var xorshift = new Xorshift();
Console.WriteLine(@"9. Generate 10 random nonnegative values less than Int64.MaxValue using Multiply-with-carry Xorshift pseudo random number generator");
for (var i = 0; i < 10; i++)
{
Console.Write(xorshift.NextInt64() + @" ");
}
Console.WriteLine();
}
private DreamRadarFrame GeneratePokemon(BWRng pidrng2, MersenneTwister ivrng2)
{
var pidrng = new BWRng(pidrng2.Seed);
var ivrng = new MersenneTwister(ivrng2);
var frame = new DreamRadarFrame();
frame.Pid = GeneratePID(pidrng);
// two unknown advances
pidrng.GetNext64BitNumber();
pidrng.GetNext64BitNumber();
frame.Nature = pidrng.GetNext32BitNumber(25);
// IVs
frame.Hp = ivrng.Next() >> 27;
frame.Atk = ivrng.Next() >> 27;
frame.Def = ivrng.Next() >> 27;
frame.Spa = ivrng.Next() >> 27;
frame.Spd = ivrng.Next() >> 27;
frame.Spe = ivrng.Next() >> 27;
return frame;
}
private void Advance(BWRng pidrng, MersenneTwister ivrng, List<DreamRadarFrame.Spin> spins)
{
// first PIDRNG advance = spin
spins.Add((DreamRadarFrame.Spin) pidrng.GetNext32BitNumber(8));
pidrng.GetNext64BitNumber();
ivrng.Next();
ivrng.Next();
}
// todo: remove this
private static void SlotAdvances(BWRng pidrng, MersenneTwister ivrng)
{
pidrng.GetNext64BitNumber();
pidrng.GetNext64BitNumber();
pidrng.GetNext64BitNumber();
pidrng.GetNext64BitNumber();
pidrng.GetNext64BitNumber();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
ivrng.Next();
}
public List<DreamRadarFrame> Generate(ulong seed, Profile profile)
{
var frames = new List<DreamRadarFrame>();
// Build the PIDRNG
uint initialFrame = Functions.initialPIDRNG(seed, profile);
var pidrng = new BWRng(seed);
pidrng.Advance(initialFrame);
// Build the MTRNG
// todo: use fast MTRNG when available
var ivrng = new MersenneTwister((uint) (seed >> 32));
// advance 8 frames for BW2
for (uint i = 0; i < 10; ++i) ivrng.Next();
// one single advancement for entering the menu
pidrng.GetNext64BitNumber();
var spins = new List<DreamRadarFrame.Spin>();
// initial advances
for (uint i = 0; i < initialFrame; ++i) Advance(pidrng, ivrng, spins);
// slot advances
// we're always doing the slot 1 advance here
pidrng.GetNext64BitNumber();
for (uint i = 1; i < TargetSlot; ++i) SlotAdvances(pidrng, ivrng);
for (uint i = initialFrame; i <= MaxFrame; ++i)
{
DreamRadarFrame frame = GeneratePokemon(pidrng, ivrng);
var arrSpins = new DreamRadarFrame.Spin[spins.Count];
spins.CopyTo(arrSpins);
frame.Spins = arrSpins;
// add checks/comparisons on the frame here
// nature/IVs
frames.Add(frame);
Advance(pidrng, ivrng, spins);
}
return frames;
}
