/// <summary>
/// Create a ForcedRandomSeries with the given sample sequence and the seed as offset.
/// The sequence is supposed to contain NxN points in random order.
/// </summary>
public ForcedRandomSeries(V2i[] series, int matrixSize, IRandomUniform rnd, bool jitter = true)
{
m_series = series;
m_matrixSize = matrixSize;
m_norm = 1.0 / m_matrixSize; // [0, 1)
m_rnd = rnd;
m_jitter = jitter;
// random offset of sample pattern
m_seed = new V2i(rnd.UniformInt(m_matrixSize), rnd.UniformInt(m_matrixSize));
}
/// <summary>
/// Returns a uniformly distributed double in the closed interval
/// [0.0, 1.0]. Note, that two random values are used to make all 53
/// bits random.
/// </summary>
public static double UniformDoubleFullClosed(this IRandomUniform rnd)
{
if (rnd.GeneratesFullDoubles)
{
return(rnd.UniformDoubleClosed());
}
long r = ((~0xfL & (long)rnd.UniformInt()) << 22)
| ((long)rnd.UniformInt() >> 5);
return(r * (1.0 / 9007199254740991.0));
}
/// <summary>
/// Returns a uniformly distributed double in the open interval
/// (0.0, 1.0). Note, that two random values are used to make all 53
/// bits random.
/// </summary>
public static double UniformDoubleFullOpen(this IRandomUniform rnd)
{
if (rnd.GeneratesFullDoubles)
{
return(rnd.UniformDoubleOpen());
}
long r;
do
{
r = ((~0xfL & (long)rnd.UniformInt()) << 22)
| ((long)rnd.UniformInt() >> 5);
}while (r == 0);
return(r * (1.0 / 9007199254740992.0));
}
/// <summary>
/// Randomly permute the specified number of elements in the supplied
/// list starting at the specified index.
/// </summary>
public static void Randomize <T>(
this IRandomUniform rnd, List <T> list, int start, int count)
{
for (int i = start; i < start + count; i++)
{
list.Swap(i, start + rnd.UniformInt(count));
}
}
/// <summary>
/// Randomly permute the specified number of elements in the supplied
/// array starting at the specified index.
/// </summary>
public static void Randomize <T>(
this IRandomUniform rnd, T[] array, int start, int count)
{
for (int i = start, e = start + count; i < e; i++)
{
array.Swap(i, start + rnd.UniformInt(count));
}
}
/// <summary>
/// Fills the specified array with random ints in the interval
/// [0, 2^31-1].
/// </summary>
public static void FillUniform(this IRandomUniform rnd, int[] array)
{
long count = array.LongLength;
for (long i = 0; i < count; i++)
{
array[i] = rnd.UniformInt();
}
}
/// <summary>
/// Randomly permute the elements of the supplied list.
/// </summary>
public static void Randomize <T>(
this IRandomUniform rnd, List <T> list)
{
int count = list.Count;
for (int i = 0; i < count; i++)
{
list.Swap(i, rnd.UniformInt(count));
}
}
/// <summary>
/// Returns a uniform int which is guaranteed not to be zero.
/// </summary>
public static int UniformIntNonZero(this IRandomUniform rnd)
{
int r;
do
{
r = rnd.UniformInt();
} while (r == 0);
return(r);
}
/// <summary>
/// Creates clusters for all points which are within an epsilon
/// distance from each other. This algorithm uses a hash-grid and
/// only works fast if the supplied epsilon is small enough that
/// not too many points fall within each cluster. Thus it is ideal
/// for merging vertices in meshes and point sets, that are different
/// due to numerical inaccuracies.
/// </summary>
public PointEpsilonClustering(V3d[] pa, double epsilon, IRandomUniform rnd = null)
{
rnd = rnd ?? new RandomSystem();
var count = pa.Length;
Alloc(count);
var ca = m_indexArray;
var dict = new IntDict <int>(count, stackDuplicateKeys: true);
int rndBits = 0; int bit = 0;
var ha = new int[8];
var eps2 = epsilon * epsilon;
for (int i = 0; i < count; i++)
{
var p = pa[i]; p.HashCodes8(epsilon, ha);
int ci = ca[i]; if (ca[ci] != ci)
{
do
{
ci = ca[ci];
} while (ca[ci] != ci); ca[i] = ci;
}
for (int hi = 0; hi < 8; hi++)
{
foreach (var j in dict.ValuesWithKey(ha[hi]))
{
int cj = ca[j]; if (ca[cj] != cj)
{
do
{
cj = ca[cj];
} while (ca[cj] != cj); ca[j] = cj;
}
if (ci == cj || V3d.DistanceSquared(p, pa[j]) >= eps2)
{
continue;
}
bit >>= 1; if (bit == 0)
{
rndBits = rnd.UniformInt(); bit = 1 << 30;
}
if ((rndBits & bit) != 0)
{
ca[ci] = cj; ca[i] = cj; ci = cj;
}
else
{
ca[cj] = ci; ca[j] = ci;
}
}
}
dict[ha[0]] = i;
}
Init();
}
/// <summary>
/// Merge clusters of exactly equal points. The supplied epsilon is used to define a
/// grid as acceleration data structure and the algorithm is only fast if not too many
/// points fall within the supplied epsilon.
/// </summary>
public PointEqualClustering(V3d[] pa, double eps, IRandomUniform rnd = null)
{
rnd = rnd ?? new RandomSystem();
var count = pa.Length;
Alloc(count);
var ca = m_indexArray;
var dict = new IntDict <int>(count, stackDuplicateKeys: true);
int rndBits = 0; int bit = 0;
for (int i = 0; i < count; i++)
{
var p = pa[i]; var hc = p.HashCode1(eps);
int ci = ca[i]; if (ca[ci] != ci)
{
do
{
ci = ca[ci];
} while (ca[ci] != ci); ca[i] = ci;
}
foreach (var j in dict.ValuesWithKey(hc))
{
int cj = ca[j]; if (ca[cj] != cj)
{
do
{
cj = ca[cj];
} while (ca[cj] != cj); ca[j] = cj;
}
if (ci == cj || p != pa[j])
{
continue;
}
bit >>= 1; if (bit == 0)
{
rndBits = rnd.UniformInt(); bit = 1 << 30;
}
if ((rndBits & bit) != 0)
{
ca[ci] = cj; ca[i] = cj; ci = cj;
}
else
{
ca[cj] = ci; ca[j] = ci;
}
}
dict[hc] = i;
}
Init();
}
/// <summary>
/// Creates an unordered array of subsetCount int indices that
/// constitute a subset of all ints in the range [0, count-1].
/// O(subsetCount) for subsetCount << count.
/// NOTE: It is assumed that subsetCount is significantly smaller
/// than count. If this is not the case, use
/// CreateRandomSubsetOfSize instead.
/// WARNING: As subsetCount approaches count execution time
/// increases significantly.
/// </summary>
public static int[] CreateSmallRandomSubsetIndexArray(
this IRandomUniform rnd, int subsetCount, int count)
{
Requires.That(subsetCount >= 0 && subsetCount <= count);
var subsetIndices = new IntSet(subsetCount);
for (int i = 0; i < subsetCount; i++)
{
int index;
do
{
index = rnd.UniformInt(count);
}while (!subsetIndices.TryAdd(index));
}
return(subsetIndices.ToArray());
}
/// <summary>
/// Supply random bits one at a time. The currently unused bits are
/// maintained in the supplied reference parameter. Before the first
/// call randomBits must be 0.
/// </summary>
public static bool RandomBit(
this IRandomUniform rnd, ref int randomBits)
{
if (randomBits <= 1)
{
randomBits = rnd.UniformInt();
bool bit = (randomBits & 1) != 0;
randomBits = 0x40000000 | (randomBits >> 1);
return(bit);
}
else
{
bool bit = (randomBits & 1) != 0;
randomBits >>= 1;
return(bit);
}
}
/// <summary>
/// Randomly permute the first count elements of the
/// supplied array. This does work with counts of up
/// to about 2^50.
/// </summary>
public static void Randomize <T>(
this IRandomUniform rnd, T[] array, long count)
{
if (count <= (long)int.MaxValue)
{
int intCount = (int)count;
for (int i = 0; i < intCount; i++)
{
array.Swap(i, rnd.UniformInt(intCount));
}
}
else
{
for (long i = 0; i < count; i++)
{
array.Swap(i, rnd.UniformLong(count));
}
}
}
/// <summary>
/// Creates an unordered array of subsetCount int indices that
/// constitute a subset of all ints in the range [0, count-1].
/// O(subsetCount) for subsetCount << count.
/// NOTE: It is assumed that subsetCount is significantly smaller
/// than count. If this is not the case, use
/// CreateRandomSubsetOfSize instead.
/// WARNING: As subsetCount approaches count execution time
/// increases significantly.
/// </summary>
public static int[] CreateSmallRandomSubsetIndexArray(
this IRandomUniform rnd, int subsetCount, int count)
{
if (!(subsetCount >= 0 && subsetCount <= count))
{
throw new ArgumentOutOfRangeException(nameof(subsetCount));
}
var subsetIndices = new IntSet(subsetCount);
for (int i = 0; i < subsetCount; i++)
{
int index;
do
{
index = rnd.UniformInt(count);
}while (!subsetIndices.TryAdd(index));
}
return(subsetIndices.ToArray());
}
/// <summary>
/// Creates clusters of planes within a certain epsilon from each other
/// (euclidean distance between normal vectors and between offsets).
/// This algorithm uses a 4d hash-grid and only works fast if the supplied
/// epsilons are small enough that not too many planes fall within each cluster.
/// Thus it is ideal for merging planes with small variations in orientation and
/// offset due to numerical inaccuracies.
/// </summary>
public PlaneEpsilonClustering(
int count, TArray pa,
Func <TArray, int, V3d> getNormal,
Func <TArray, int, double> getDist,
double epsNormal, double epsDist,
double deltaEpsFactor = 0.25, IRandomUniform rnd = null)
{
rnd = rnd ?? new RandomSystem();
Alloc(count);
var ca = m_indexArray;
var dict = new IntDict <int>(count, stackDuplicateKeys: true);
int rndBits = 0; int bit = 0;
var ha = new int[16];
var ne2 = epsNormal * epsNormal;
var de2 = epsDist * epsDist;
var deps = (ne2 + de2) * deltaEpsFactor * deltaEpsFactor;
for (int i = 0; i < count; i++)
{
var ni = getNormal(pa, i); var di = getDist(pa, i);
ni.HashCodes16(di, epsNormal, epsDist, ha);
int ci = ca[i]; if (ca[ci] != ci)
{
do
{
ci = ca[ci];
} while (ca[ci] != ci); ca[i] = ci;
}
double dmin = double.MaxValue;
for (int hi = 0; hi < 16; hi++)
{
foreach (var j in dict.ValuesWithKey(ha[hi]))
{
int cj = ca[j]; if (ca[cj] != cj)
{
do
{
cj = ca[cj];
} while (ca[cj] != cj); ca[j] = cj;
}
if (ci == cj)
{
continue;
}
var dd = Fun.Square(di - getDist(pa, j)); if (dd >= de2)
{
continue;
}
var dn = V3d.DistanceSquared(ni, getNormal(pa, j)); if (dn >= ne2)
{
continue;
}
var d = dn + dd; if (d < dmin)
{
dmin = d;
}
bit >>= 1; if (bit == 0)
{
rnd.UniformInt(); bit = 1 << 30;
}
if ((rndBits & bit) != 0)
{
ca[ci] = cj; ca[i] = cj; ci = cj;
}
else
{
ca[cj] = ci; ca[j] = ci;
}
}
}
if (dmin > deps)
{
dict[ha[0]] = i; // only sparsely populate hashtable for performance reasons
}
}
Init();
}