fractorium/Source/Ember/VarFuncs.h

#pragma once

#include "Utils.h"

/// <summary>
/// VarFuncs class.
/// </summary>

namespace EmberNs
{
/// <summary>
/// Central coordinating place for code and data common to some variations.
/// This class is a singleton since all of its data is shared and read-only.
/// </summary>
template <typename T>
class EMBER_API VarFuncs : public Singleton<VarFuncs<T>>
{
public:
	/// <summary>
	/// Return -1 if the value is less than 0, 1 if it's greater and
	/// 0 if it's equal to 0.
	/// </summary>
	/// <param name="v">The value to inspect</param>
	/// <returns>-1, 0 or 1</returns>
	static inline T Sign(T v)
	{
		return (v < 0) ? static_cast<T>(-1) : (v > 0) ? static_cast<T>(1) : static_cast<T>(0);
	}

	/// <summary>
	/// Return -1 if the value is less than 0, 1 if it's greater.
	/// This differs from Sign() in that it doesn't return 0.
	/// </summary>
	/// <param name="v">The value to inspect</param>
	/// <returns>-1 or 1</returns>
	static inline T SignNz(T v)
	{
		return (v < 0) ? static_cast<T>(-1) : static_cast<T>(1);
	}

	/// <summary>
	/// Thin wrapper around a call to modf that discards the integer portion
	/// and returns the signed fractional portion.
	/// </summary>
	/// <param name="v">The value to retrieve the signed fractional portion of.</param>
	/// <returns>The signed fractional portion of v.</returns>
	static inline T Fabsmod(T v)
	{
		T dummy;
		return modf(v, &dummy);
	}

	/// <summary>
	/// Unsure.
	/// </summary>
	/// <param name="p">Unsure.</param>
	/// <param name="amp">Unsure.</param>
	/// <param name="ph">Unsure.</param>
	/// <returns>Unsure.</returns>
	static inline T Fosc(T p, T amp, T ph)
	{
		return T(0.5) - std::cos(p * amp + ph) * T(0.5);
	}

	/// <summary>
	/// Unsure.
	/// </summary>
	/// <param name="p">Unsure.</param>
	/// <param name="ph">Unsure.</param>
	/// <returns>Unsure.</returns>
	static inline T Foscn(T p, T ph)
	{
		return T(0.5) - std::cos(p + ph) * T(0.5);
	}

	/// <summary>
	/// Log scale from Apophysis.
	/// </summary>
	/// <param name="x">The value to log scale</param>
	/// <returns>The log scaled value</returns>
	static inline T LogScale(T x)
	{
		return x == 0 ? 0 : std::log((fabs(x) + 1) * T(M_E)) * SignNz(x) / T(M_E);
	}

	/// <summary>
	/// Log map from Apophysis.
	/// </summary>
	/// <param name="x">The value to log map</param>
	/// <returns>The log mapped value</returns>
	static inline T LogMap(T x)
	{
		return x == 0 ? 0 : (T(M_E) + std::log(x * T(M_E))) * T(0.25) * SignNz(x);
	}

	/// <summary>
	/// Taking the square root of numbers close to zero is dangerous.  If x is negative
	/// due to floating point errors, it can return NaN results.
	/// </summary>
	static inline T SafeSqrt(T x)
	{
		if (x <= 0)
			return 0;

		return std::sqrt(x);
	}

	/// <summary>
	/// If r < EPS, return 1 / r.
	/// Else, return q / r.
	/// </summary>
	/// <param name="q">The numerator</param>
	/// <param name="r">The denominator</param>
	/// <returns>The quotient</returns>
	static inline T SafeDivInv(T q, T r)
	{
		if (r < EPS)
			return 1 / r;

		return q / r;
	}

	/// <summary>
	/// Return the hypotenuse of the passed in values.
	/// </summary>
	/// <param name="x">The x distance</param>
	/// <param name="y">The y distance</param>
	/// <returns>The hypotenuse</returns>
	static inline T Hypot(T x, T y)
	{
		return std::sqrt(SQR(x) + SQR(y));
	}

	/// <summary>
	/// Spread the values.
	/// </summary>
	/// <param name="x">The x distance</param>
	/// <param name="y">The y distance</param>
	/// <returns>The spread</returns>
	static inline T Spread(T x, T y)
	{
		return Hypot(x, y) * ((x) > 0 ? T(1) : T(-1));
	}

	/// <summary>
	/// Unsure.
	/// </summary>
	/// <param name="x">The x distance</param>
	/// <param name="y">The y distance</param>
	/// <returns>The powq4</returns>
	static inline T Powq4(T x, T y)
	{
		return std::pow(std::abs(x), y) * SignNz(x);
	}

	/// <summary>
	/// Unsure.
	/// </summary>
	/// <param name="x">The x distance</param>
	/// <param name="y">The y distance</param>
	/// <returns>The powq4c</returns>
	static inline T Powq4c(T x, T y)
	{
		return y == 1 ? x : Powq4(x, y);
	}

	/// <summary>
	/// Special rounding for certain variations, gotten from Apophysis.
	/// </summary>
	/// <param name="x">The value to round</param>
	/// <returns>The rounded value</returns>
	static inline float LRint(float x)
	{
		int temp = (x >= 0 ? static_cast<int>(x + 0.5f) : static_cast<int>(x - 0.5f));
		return static_cast<float>(temp);
	}

	/// <summary>
	/// Special rounding for certain variations, gotten from Apophysis.
	/// </summary>
	/// <param name="x">The value to round</param>
	/// <returns>The rounded value</returns>
	static inline double LRint(double x)
	{
		glm::int64_t temp = (x >= 0 ? static_cast<int64_t>(x + 0.5) : static_cast<int64_t>(x - 0.5));
		return static_cast<double>(temp);
	}

	/// <summary>
	/// Retrieve information about a piece of shared data by looking
	/// up its name.
	/// </summary>
	/// <param name="name">The name of the shared data to retrieve</param>
	/// <returns>A pointer to the beginning of the data and its size in terms of sizeof(T)</returns>
	std::pair<const T*, size_t>* GetSharedData(const string& name)
	{
		const auto& data = m_GlobalMap.find(name);

		if (data != m_GlobalMap.end())
			return &data->second;
		else
			return nullptr;
	}

	/// <summary>
	/// The size of the index array.
	/// </summary>
	/// <returns>size_t</returns>
	inline size_t IndexCount() const
	{
		return m_P.size();
	}

	/// <summary>
	/// Get the index value at the specified index.
	/// </summary>
	/// <param name="i">The index to retrieve</param>
	/// <returns>int</returns>
	inline int Index(int i) const
	{
		return m_P[i];
	}

	/// <summary>
	/// Get a const reference to the 3 component vector at the specified index.
	/// </summary>
	/// <param name="i">The index to retrieve</param>
	/// <returns>v3T&</returns>
	inline v3T& Grad(int i)
	{
		return m_Grad[i];
	}

	/// <summary>
	/// Get the size of the gradient vector.
	/// </summary>
	/// <returns>size_t</returns>
	inline size_t GradCount() const
	{
		return m_Grad.size();
	}

	/// <summary>
	/// Get a pointer to the floating point index values.
	/// </summary>
	/// <returns>T*</returns>
	inline T* IndexFloats() const
	{
		return const_cast<T*>(m_PFloats.data());
	}

	/// <summary>
	/// Compute 3D simplex nosie value based on the 3 component vector passed in.
	/// </summary>
	/// <param name="v">The vector to use to compute the value</param>
	/// <returns>T</returns>
	T SimplexNoise3D(const v3T& v)
	{
		v3T c[4]; // Co-ordinates of four simplex shape corners in (x,y,z)
		T n = 0; // Noise total value
		int gi[4];      // Hashed grid index for each corner, used to determine gradient
		// Convert input co-ordinates ( x, y, z ) to
		// integer-based simplex grid ( i, j, k )
		T skewIn = (v.x + v.y + v.z) * T(0.333333);
		intmax_t i = Floor<T>(v.x + skewIn);
		intmax_t j = Floor<T>(v.y + skewIn);
		intmax_t k = Floor<T>(v.z + skewIn);
		T t = (i + j + k) * T(0.1666666);
		// Cell origin co-ordinates in input space (x,y,z)
		T x0 = i - t;
		T y0 = j - t;
		T z0 = k - t;
		// This value of t finished with, not used later . . .
		// Point offset within cell, in input space (x,y,z)
		c[0].x = v.x - x0;
		c[0].y = v.y - y0;
		c[0].z = v.z - z0;
		// For the 3D case, the simplex shape is a slightly irregular tetrahedron.
		// The nested logic determines which simplex we are in, and therefore in which
		// order to get gradients for the four corners
		int i1, j1, k1; // Offsets for second corner of simplex in (i,j,k) coords
		int i2, j2, k2; // Offsets for third corner of simplex in (i,j,k) coords

		// The fourth corner is always i3 = 1, j3 = 1, k3 = 1, so no need to
		// calculate values
		if (c[0].x >= c[0].y)
		{
			if (c[0].y >= c[0].z)
			{
				i1 = 1; j1 = 0; k1 = 0; i2 = 1; j2 = 1; k2 = 0;
			}
			else   // y0<z0
			{
				if (c[0].x >= c[0].z)
				{
					i1 = 1; j1 = 0; k1 = 0; i2 = 1; j2 = 0; k2 = 1;
				}
				else
				{
					i1 = 0; j1 = 0; k1 = 1; i2 = 1; j2 = 0; k2 = 1;
				}
			}
		}
		else   // x0<y0
		{
			if (c[0].y < c[0].z)
			{
				i1 = 0; j1 = 0; k1 = 1; i2 = 0; j2 = 1; k2 = 1;
			}
			else
			{
				if (c[0].x < c[0].z)
				{
					i1 = 0; j1 = 1; k1 = 0; i2 = 0; j2 = 1; k2 = 1;
				}
				else
				{
					i1 = 0; j1 = 1; k1 = 0; i2 = 1; j2 = 1; k2 = 0;
				}
			}
		}

		// A step of 1i in (i,j,k) is a step of (1-T(0.16666), -T(0.16666), -T(0.16666)) in (x,y,z),
		// and this is similar for j and k . . .
		// Offsets for second corner in (x,y,z) coords
		c[1].x = c[0].x - i1 + T(0.1666666);
		c[1].y = c[0].y - j1 + T(0.1666666);
		c[1].z = c[0].z - k1 + T(0.1666666);
		// Offsets for third corner in (x,y,z) coords
		c[2].x = c[0].x - i2 + 2 * T(0.1666666);
		c[2].y = c[0].y - j2 + 2 * T(0.1666666);
		c[2].z = c[0].z - k2 + 2 * T(0.1666666);
		// Offsets for last corner in (x,y,z) coords
		c[3].x = c[0].x - 1 + 3 * T(0.1666666);
		c[3].y = c[0].y - 1 + 3 * T(0.1666666);
		c[3].z = c[0].z - 1 + 3 * T(0.1666666);
		// Work out the hashed gradient indices of the four simplex corners
		int ii = i & 0x3ff;
		int jj = j & 0x3ff;
		int kk = k & 0x3ff;
		gi[0] = m_P[ii + m_P[jj + m_P[kk]]];
		gi[1] = m_P[ii + i1 + m_P[jj + j1 + m_P[kk + k1]]];
		gi[2] = m_P[ii + i2 + m_P[jj + j2 + m_P[kk + k2]]];
		gi[3] = m_P[ii + 1 + m_P[jj + 1 + m_P[kk + 1]]];

		// Calculate the contribution from the four corners, and add to total
		for (uint corner = 0u; corner < 4u; corner++)
		{
			t = T(0.6) - Sqr(c[corner].x) - Sqr(c[corner].y) - Sqr(c[corner].z);

			if (t > 0)
			{
				v3T u = m_Grad[gi[corner]];
				t *= t;
				n += t * t * (u.x * c[corner].x + u.y * c[corner].y + u.z * c[corner].z);
			}
		}

		// The result is scaled be fit -1.0 to 1.0
		return 32 * n;
	}

	/// <summary>
	/// Compute a perlin noise value based on the values passed in.
	/// This will iteratively call SimplexNoise3D().
	/// </summary>
	/// <param name="v">The vector</param>
	/// <param name="aScale">A value to scale a by</param>
	/// <param name="fScale">A value to scale f by</param>
	/// <param name="octaves">The number of iterations to perform</param>
	/// <returns>T</returns>
	T PerlinNoise3D(v3T& v, T aScale, T fScale, int octaves)
	{
		T n = 0, a = 1;
		v3T u = v;

		for (int i = 0; i < octaves; i++)
		{
			n += SimplexNoise3D(u) / Zeps(a);
			a *= aScale;
			u.x *= fScale;
			u.y *= fScale;
			u.x *= fScale;
		}

		return n;
	}

	/// <summary>
	/// Find the element in p which is closest to u and return
	/// the index of that element.
	/// </summary>
	/// <param name="p">The vector of points to examine</param>
	/// <param name="n">The number of points in p to examine</param>
	/// <param name="u">The point to compare p gainst</param>
	/// <returns>Integer index in p which contained the closest point</returns>
	static int Closest(v2T* p, int n, v2T& u)
	{
		T d2;
		T d2min = TMAX;
		int i, j = 0;

		for (i = 0; i < n; i++)
		{
			d2 = Sqr<T>(p[i].x - u.x) + Sqr<T>(p[i].y - u.y);

			if (d2 < d2min)
			{
				d2min = d2;
				j = i;
			}
		}

		return j;
	}

	/// <summary>
	/// Unsure.
	/// </summary>
	static T Vratio(const v2T& p, const v2T& q, const v2T& u)
	{
		v2T pmq = p - q;

		if (pmq.x == 0 && pmq.y == 0)
			return 1;

		return 2 * ((u.x - q.x) * pmq.x + (u.y - q.y) * pmq.y) / Zeps(SQR(pmq.x) + SQR(pmq.y));
	}

	/// <summary>
	/// Unsure.
	/// </summary>
	static T Voronoi(v2T* p, int n, int q, const v2T& u)
	{
		T ratio, ratiomax = TLOW;

		for (int i = 0; i < n; i++)
		{
			if (i != q)
			{
				ratio = Vratio(p[i], p[q], u);

				if (ratio > ratiomax)
					ratiomax = ratio;
			}
		}

		return ratiomax;
	}

	/// <summary>
	/// Used in the jac_* variations.
	/// </summary>
	static void JacobiElliptic(T uu, T emmc, T& sn, T& cn, T& dn)
	{
		//Code is taken from IROIRO++ library,
		//released under CC share-alike license.
		//Less accurate for faster rendering (still very precise).
		T const CA = T(0.0003);//The accuracy is the square of CA.
		T a, b, c, d = 1, em[13], en[13];
		int bo;
		int l;
		int ii;
		int i;
		T emc = emmc;
		T u = uu;

		if (emc != 0)
		{
			bo = 0;

			if (emc < 0)
				bo = 1;

			if (bo != 0)
			{
				d = 1 - emc;
				emc = -emc / d;
				d = std::sqrt(d);
				u = d * u;
			}

			a = 1;
			dn = 1;

			for (i = 0; i < 8; i++)
			{
				l = i;
				em[i] = a;
				emc = std::sqrt(emc);
				en[i] = emc;
				c = T(0.5) * (a + emc);

				if (std::abs(a - emc) <= CA * a)
					break;

				emc = a * emc;
				a = c;
			}

			u = c * u;
			sincos(u, &sn, &cn);

			if (sn != 0)
			{
				a = cn / sn;
				c = a * c;

				for (ii = l; ii >= 0; --ii)
				{
					b = em[ii];
					a = c * a;
					c = dn * c;
					dn = (en[ii] + a) / (b + a);
					a = c / b;
				}

				a = 1 / std::sqrt(c * c + 1);

				if (sn < 0)
					sn = -a;
				else
					sn = a;

				cn = c * sn;
			}

			if (bo != 0)
			{
				a = dn;
				dn = cn;
				cn = a;
				sn = sn / d;
			}
		}
		else
		{
			cn = 1 / std::cosh(u);
			dn = cn;
			sn = std::tanh(u);
		}
	}

	SINGLETON_DERIVED_IMPL(VarFuncs<T>);

private:
	/// <summary>
	/// Constructor which initializes data and adds information about them to a global map.
	/// </summary>
	VarFuncs()
	{
		m_P = InitInts();
		m_Grad = InitGrad();
		m_Offsets = InitOffsets();
		m_GlobalMap["NOISE_INDEX"] = make_pair(m_PFloats.data(), m_PFloats.size());
		m_GlobalMap["NOISE_POINTS"] = make_pair(static_cast<T*>(&(m_Grad[0].x)), SizeOf(m_Grad) / sizeof(T));
		m_GlobalMap["OFFSETS"] = make_pair(static_cast<T*>(&(m_Offsets[0].x)), SizeOf(m_Offsets) / sizeof(T));
	}

	/// <summary>
	/// Initializes integer indices via initializer list.
	/// Called once from the constructor.
	/// </summary>
	/// <returns>A copy of the locally declared vector</returns>
	std::vector<int> InitInts()
	{
		std::vector<int> p =
		{
			127, 71, 882, 898, 798, 463, 517, 451, 454, 634, 578, 695, 728, 742, 325, 350, 684, 153, 340,
			311, 992, 706, 218, 285, 96, 486, 160, 98, 686, 288, 193, 119, 410, 246, 536, 415, 953, 417,
			784, 573, 734, 1, 136, 381, 177, 678, 773, 22, 301, 51, 874, 844, 775, 744, 633, 468, 1019,
			287, 475, 78, 294, 724, 519, 17, 323, 191, 187, 446, 262, 212, 170, 33, 7, 227, 566, 526, 264,
			556, 717, 477, 815, 671, 225, 207, 692, 663, 969, 393, 658, 877, 353, 788, 128, 303, 614, 501,
			490, 387, 53, 941, 951, 736, 539, 102, 163, 175, 584, 988, 35, 347, 442, 649, 642, 198, 727,
			939, 913, 811, 894, 858, 181, 412, 307, 830, 154, 479, 704, 326, 681, 619, 698, 621, 552, 598,
			74, 890, 299, 922, 701, 481, 867, 214, 817, 731, 768, 673, 315, 338, 576, 222, 484, 305, 623,
			239, 269, 46, 748, 608, 546, 537, 125, 667, 998, 714, 529, 823, 247, 289, 771, 808, 973, 735,
			516, 974, 702, 636, 357, 455, 600, 80, 336, 696, 963, 297, 92, 980, 670, 958, 625, 712, 406,
			173, 19, 763, 470, 793, 283, 655, 59, 421, 1016, 219, 13, 105, 840, 111, 38, 408, 945, 242,
			559, 206, 443, 331, 737, 580, 767, 1020, 220, 31, 968, 15, 527, 833, 139, 129, 859, 739, 418,
			783, 933, 49, 789, 178, 124, 772, 627, 0, 23, 388, 950, 976, 940, 485, 685, 21, 523, 723, 244,
			637, 488, 835, 379, 342, 452, 862, 295, 765, 897, 507, 370, 567, 416, 100, 914, 300, 120, 392,
			694, 94, 265, 791, 171, 200, 787, 441, 868, 672, 769, 983, 911, 427, 82, 69, 224, 176, 920,
			500, 462, 263, 513, 797, 293, 322, 645, 469, 635, 40, 215, 687, 960, 818, 826, 34, 603, 316,
			994, 611, 511, 93, 899, 114, 73, 241, 585, 327, 674, 280, 957, 471, 24, 502, 355, 159, 1017,
			855, 270, 538, 521, 162, 880, 334, 986, 740, 719, 266, 820, 97, 41, 52, 750, 893, 838, 616, 83,
			896, 777, 464, 562, 183, 362, 411, 478, 398, 384, 912, 599, 587, 609, 822, 243, 504, 753, 857,
			157, 964, 65, 261, 81, 371, 435, 924, 885, 884, 863, 613, 721, 669, 121, 639, 989, 487, 238,
			448, 216, 852, 643, 713, 676, 277, 879, 133, 123, 304, 547, 396, 70, 141, 909, 848, 900, 318,
			146, 356, 802, 4, 807, 558, 764, 545, 588, 872, 554, 467, 544, 505, 149, 62, 901, 64, 45, 813,
			27, 109, 718, 803, 853, 996, 1014, 476, 575, 28, 199, 688, 6, 482, 703, 560, 395, 66, 341, 794,
			422, 376, 601, 76, 14, 569, 480, 39, 1011, 1001, 854, 55, 89, 335, 761, 363, 419, 252, 799,
			358, 324, 1012, 152, 312, 496, 235, 916, 582, 615, 979, 1005, 891, 1013, 641, 18, 148, 185,
			512, 378, 58, 211, 495, 594, 87, 762, 366, 660, 449, 520, 424, 886, 819, 281, 147, 290, 390,
			32, 572, 993, 720, 683, 309, 254, 607, 568, 256, 533, 394, 620, 429, 67, 831, 103, 423, 668,
			693, 518, 551, 697, 253, 949, 54, 875, 116, 434, 743, 644, 590, 279, 843, 589, 11, 647, 586,
			806, 549, 375, 226, 851, 499, 450, 978, 29, 982, 189, 107, 508, 373, 796, 20, 700, 110, 26,
			461, 782, 591, 828, 57, 904, 847, 328, 122, 630, 711, 44, 397, 404, 209, 365, 84, 194, 1021,
			675, 135, 965, 329, 557, 691, 79, 352, 498, 629, 869, 90, 921, 233, 622, 871, 755, 439, 955,
			228, 63, 825, 43, 943, 438, 144, 961, 359, 330, 682, 626, 425, 259, 249, 801, 754, 1003, 230,
			377, 217, 878, 1007, 313, 2, 915, 550, 271, 437, 846, 548, 145, 715, 346, 251, 372, 99, 543,
			16, 47, 195, 679, 174, 905, 188, 804, 169, 785, 231, 726, 814, 339, 531, 420, 258, 1009, 134,
			972, 458, 234, 690, 260, 666, 646, 142, 184, 91, 628, 987, 10, 210, 926, 348, 386, 161, 60,
			409, 680, 204, 164, 444, 708, 276, 68, 383, 491, 382, 42, 816, 483, 699, 150, 9, 565, 555, 433,
			593, 86, 952, 839, 618, 751, 889, 108, 361, 595, 677, 407, 856, 255, 604, 85, 648, 928, 824,
			213, 192, 267, 902, 792, 656, 631, 403, 389, 493, 333, 756, 602, 925, 113, 632, 354, 37, 873,
			577, 56, 278, 930, 367, 428, 332, 317, 530, 364, 800, 774, 497, 1023, 12, 137, 845, 653, 101,
			888, 542, 167, 48, 158, 1002, 745, 292, 944, 456, 990, 574, 25, 1018, 937, 298, 966, 430, 400,
			349, 860, 689, 320, 117, 778, 104, 314, 786, 205, 606, 440, 936, 457, 932, 934, 948, 168, 445,
			931, 757, 291, 571, 919, 360, 284, 509, 296, 245, 836, 166, 3, 257, 50, 282, 151, 810, 344,
			947, 236, 946, 865, 752, 77, 610, 967, 795, 131, 302, 760, 781, 190, 938, 61, 1022, 652, 138,
			984, 832, 202, 140, 985, 5, 657, 997, 401, 319, 431, 662, 405, 275, 650, 651, 887, 310, 1004,
			368, 208, 596, 248, 758, 8, 126, 730, 489, 343, 337, 506, 515, 432, 232, 250, 532, 954, 524,
			115, 229, 522, 908, 729, 186, 561, 995, 156, 196, 118, 805, 399, 918, 991, 849, 273, 747, 640,
			143, 321, 624, 268, 306, 30, 722, 540, 534, 710, 130, 155, 883, 716, 525, 426, 812, 345, 929,
			975, 472, 837, 605, 664, 391, 581, 272, 746, 112, 659, 665, 780, 240, 841, 474, 563, 36, 579,
			286, 436, 907, 369, 201, 402, 962, 106, 749, 172, 494, 88, 466, 473, 414, 597, 374, 942, 308,
			766, 459, 821, 592, 881, 380, 759, 866, 779, 809, 876, 541, 829, 528, 999, 221, 661, 927, 413,
			977, 182, 583, 733, 892, 741, 570, 351, 617, 956, 72, 709, 850, 732, 770, 870, 95, 935, 223,
			179, 861, 917, 447, 385, 132, 827, 923, 75, 465, 612, 460, 725, 492, 553, 1008, 910, 981, 503,
			165, 895, 834, 1000, 180, 638, 906, 510, 274, 776, 971, 564, 738, 903, 654, 864, 959, 1015,
			453, 535, 237, 197, 1006, 790, 514, 842, 970, 705, 707, 1010, 203,

			// 1k Block repeats here

			127, 71, 882, 898, 798, 463, 517, 451, 454, 634, 578, 695, 728, 742, 325, 350, 684, 153, 340,
			311, 992, 706, 218, 285, 96, 486, 160, 98, 686, 288, 193, 119, 410, 246, 536, 415, 953, 417,
			784, 573, 734, 1, 136, 381, 177, 678, 773, 22, 301, 51, 874, 844, 775, 744, 633, 468, 1019,
			287, 475, 78, 294, 724, 519, 17, 323, 191, 187, 446, 262, 212, 170, 33, 7, 227, 566, 526, 264,
			556, 717, 477, 815, 671, 225, 207, 692, 663, 969, 393, 658, 877, 353, 788, 128, 303, 614, 501,
			490, 387, 53, 941, 951, 736, 539, 102, 163, 175, 584, 988, 35, 347, 442, 649, 642, 198, 727,
			939, 913, 811, 894, 858, 181, 412, 307, 830, 154, 479, 704, 326, 681, 619, 698, 621, 552, 598,
			74, 890, 299, 922, 701, 481, 867, 214, 817, 731, 768, 673, 315, 338, 576, 222, 484, 305, 623,
			239, 269, 46, 748, 608, 546, 537, 125, 667, 998, 714, 529, 823, 247, 289, 771, 808, 973, 735,
			516, 974, 702, 636, 357, 455, 600, 80, 336, 696, 963, 297, 92, 980, 670, 958, 625, 712, 406,
			173, 19, 763, 470, 793, 283, 655, 59, 421, 1016, 219, 13, 105, 840, 111, 38, 408, 945, 242,
			559, 206, 443, 331, 737, 580, 767, 1020, 220, 31, 968, 15, 527, 833, 139, 129, 859, 739, 418,
			783, 933, 49, 789, 178, 124, 772, 627, 0, 23, 388, 950, 976, 940, 485, 685, 21, 523, 723, 244,
			637, 488, 835, 379, 342, 452, 862, 295, 765, 897, 507, 370, 567, 416, 100, 914, 300, 120, 392,
			694, 94, 265, 791, 171, 200, 787, 441, 868, 672, 769, 983, 911, 427, 82, 69, 224, 176, 920,
			500, 462, 263, 513, 797, 293, 322, 645, 469, 635, 40, 215, 687, 960, 818, 826, 34, 603, 316,
			994, 611, 511, 93, 899, 114, 73, 241, 585, 327, 674, 280, 957, 471, 24, 502, 355, 159, 1017,
			855, 270, 538, 521, 162, 880, 334, 986, 740, 719, 266, 820, 97, 41, 52, 750, 893, 838, 616, 83,
			896, 777, 464, 562, 183, 362, 411, 478, 398, 384, 912, 599, 587, 609, 822, 243, 504, 753, 857,
			157, 964, 65, 261, 81, 371, 435, 924, 885, 884, 863, 613, 721, 669, 121, 639, 989, 487, 238,
			448, 216, 852, 643, 713, 676, 277, 879, 133, 123, 304, 547, 396, 70, 141, 909, 848, 900, 318,
			146, 356, 802, 4, 807, 558, 764, 545, 588, 872, 554, 467, 544, 505, 149, 62, 901, 64, 45, 813,
			27, 109, 718, 803, 853, 996, 1014, 476, 575, 28, 199, 688, 6, 482, 703, 560, 395, 66, 341, 794,
			422, 376, 601, 76, 14, 569, 480, 39, 1011, 1001, 854, 55, 89, 335, 761, 363, 419, 252, 799,
			358, 324, 1012, 152, 312, 496, 235, 916, 582, 615, 979, 1005, 891, 1013, 641, 18, 148, 185,
			512, 378, 58, 211, 495, 594, 87, 762, 366, 660, 449, 520, 424, 886, 819, 281, 147, 290, 390,
			32, 572, 993, 720, 683, 309, 254, 607, 568, 256, 533, 394, 620, 429, 67, 831, 103, 423, 668,
			693, 518, 551, 697, 253, 949, 54, 875, 116, 434, 743, 644, 590, 279, 843, 589, 11, 647, 586,
			806, 549, 375, 226, 851, 499, 450, 978, 29, 982, 189, 107, 508, 373, 796, 20, 700, 110, 26,
			461, 782, 591, 828, 57, 904, 847, 328, 122, 630, 711, 44, 397, 404, 209, 365, 84, 194, 1021,
			675, 135, 965, 329, 557, 691, 79, 352, 498, 629, 869, 90, 921, 233, 622, 871, 755, 439, 955,
			228, 63, 825, 43, 943, 438, 144, 961, 359, 330, 682, 626, 425, 259, 249, 801, 754, 1003, 230,
			377, 217, 878, 1007, 313, 2, 915, 550, 271, 437, 846, 548, 145, 715, 346, 251, 372, 99, 543,
			16, 47, 195, 679, 174, 905, 188, 804, 169, 785, 231, 726, 814, 339, 531, 420, 258, 1009, 134,
			972, 458, 234, 690, 260, 666, 646, 142, 184, 91, 628, 987, 10, 210, 926, 348, 386, 161, 60,
			409, 680, 204, 164, 444, 708, 276, 68, 383, 491, 382, 42, 816, 483, 699, 150, 9, 565, 555, 433,
			593, 86, 952, 839, 618, 751, 889, 108, 361, 595, 677, 407, 856, 255, 604, 85, 648, 928, 824,
			213, 192, 267, 902, 792, 656, 631, 403, 389, 493, 333, 756, 602, 925, 113, 632, 354, 37, 873,
			577, 56, 278, 930, 367, 428, 332, 317, 530, 364, 800, 774, 497, 1023, 12, 137, 845, 653, 101,
			888, 542, 167, 48, 158, 1002, 745, 292, 944, 456, 990, 574, 25, 1018, 937, 298, 966, 430, 400,
			349, 860, 689, 320, 117, 778, 104, 314, 786, 205, 606, 440, 936, 457, 932, 934, 948, 168, 445,
			931, 757, 291, 571, 919, 360, 284, 509, 296, 245, 836, 166, 3, 257, 50, 282, 151, 810, 344,
			947, 236, 946, 865, 752, 77, 610, 967, 795, 131, 302, 760, 781, 190, 938, 61, 1022, 652, 138,
			984, 832, 202, 140, 985, 5, 657, 997, 401, 319, 431, 662, 405, 275, 650, 651, 887, 310, 1004,
			368, 208, 596, 248, 758, 8, 126, 730, 489, 343, 337, 506, 515, 432, 232, 250, 532, 954, 524,
			115, 229, 522, 908, 729, 186, 561, 995, 156, 196, 118, 805, 399, 918, 991, 849, 273, 747, 640,
			143, 321, 624, 268, 306, 30, 722, 540, 534, 710, 130, 155, 883, 716, 525, 426, 812, 345, 929,
			975, 472, 837, 605, 664, 391, 581, 272, 746, 112, 659, 665, 780, 240, 841, 474, 563, 36, 579,
			286, 436, 907, 369, 201, 402, 962, 106, 749, 172, 494, 88, 466, 473, 414, 597, 374, 942, 308,
			766, 459, 821, 592, 881, 380, 759, 866, 779, 809, 876, 541, 829, 528, 999, 221, 661, 927, 413,
			977, 182, 583, 733, 892, 741, 570, 351, 617, 956, 72, 709, 850, 732, 770, 870, 95, 935, 223,
			179, 861, 917, 447, 385, 132, 827, 923, 75, 465, 612, 460, 725, 492, 553, 1008, 910, 981, 503,
			165, 895, 834, 1000, 180, 638, 906, 510, 274, 776, 971, 564, 738, 903, 654, 864, 959, 1015,
			453, 535, 237, 197, 1006, 790, 514, 842, 970, 705, 707, 1010, 203,

			// 2k block overlaps by two items here . . . (to allow for over-runs caused by taking
			//    "next item in sequence")

			127, 71
		};
		//Make a copy of all ints as floats. This is used
		//when passed to the OpenCL since the global shared array
		//is of type T.
		m_PFloats.clear();
		m_PFloats.reserve(p.size());

		for (size_t i = 0; i < p.size(); i++)
			m_PFloats.push_back(T(p[i]));

		return p;
	}

	/// <summary>
	/// Initializes the gradient texture.
	/// </summary>
	/// <returns>A copy of the locally declared vector</returns>
	std::vector<v3T> InitGrad()
	{
		std::vector<v3T> g =
		{
			v3T{ 0.79148875, 0.11986299, -0.59931496 }, v3T{ 0.51387411, -0.61170974, 0.60145208 }, v3T{ -0.95395128, -0.21599571, 0.20814132 }, v3T{ 0.59830026, 0.67281067, 0.43515813 },
			v3T{ -0.93971346, 0.16019818, -0.30211777 }, v3T{ -0.74549699, -0.35758846, 0.56246309 }, v3T{ -0.78850321, -0.29060783, 0.54204223 }, v3T{ 0.61332339, 0.38915256, 0.68730976 },
			v3T{ -0.64370632, -0.40843865, 0.64716307 }, v3T{ -0.23922684, 0.70399949, -0.66869667 }, v3T{ -0.82882802, -0.00130741, 0.55950192 }, v3T{ 0.07987672, 0.62439350, -0.77701510 },
			v3T{ -0.46863456, -0.57517073, 0.67049257 }, v3T{ 0.30792870, 0.42464616, -0.85138449 }, v3T{ -0.06972001, 0.30439513, 0.94999091 }, v3T{ 0.58798450, -0.00151777, 0.80887077 },
			v3T{ -0.32757867, 0.51578941, 0.79161449 }, v3T{ -0.44745031, 0.86883688, 0.21192142 }, v3T{ -0.38042636, 0.71222019, 0.58993066 }, v3T{ -0.32616370, 0.61421101, -0.71858339 },
			v3T{ 0.45483340, 0.19928843, -0.86799234 }, v3T{ -0.81020233, -0.05930352, 0.58314259 }, v3T{ 0.81994145, 0.39825895, 0.41120046 }, v3T{ 0.49257662, 0.74240487, 0.45409612 },
			v3T{ 0.95124863, -0.26667257, -0.15495734 }, v3T{ -0.95745656, 0.09203090, -0.27350914 }, v3T{ 0.20842499, -0.82482150, -0.52557446 }, v3T{ 0.46829293, -0.47740985, -0.74349282 },
			v3T{ -0.65000311, -0.74754355, 0.13665502 }, v3T{ 0.83566743, 0.53294928, -0.13275921 }, v3T{ 0.90454761, -0.35449497, -0.23691126 }, v3T{ -0.64270969, 0.21532175, 0.73522839 },
			v3T{ -0.39693478, -0.17553935, -0.90090439 }, v3T{ 0.45073049, 0.65155528, 0.61017845 }, v3T{ 0.69618384, -0.07989842, 0.71340333 }, v3T{ 0.09059934, 0.85274641, -0.51440773 },
			v3T{ -0.00560267, 0.69197466, 0.72190005 }, v3T{ 0.23586856, -0.95830502, 0.16129945 }, v3T{ 0.20354340, -0.96925430, -0.13826128 }, v3T{ -0.45516395, 0.63885905, 0.62022970 },
			v3T{ 0.80792021, 0.47917579, 0.34300946 }, v3T{ 0.40886670, -0.32579857, -0.85245722 }, v3T{ -0.83819701, -0.30910810, 0.44930831 }, v3T{ -0.57602641, -0.75801200, 0.30595978 },
			v3T{ -0.16591524, -0.96579983, -0.19925569 }, v3T{ 0.27174061, 0.93638167, -0.22214053 }, v3T{ -0.45758922, 0.73185326, -0.50497812 }, v3T{ -0.18029934, -0.78067110, -0.59836843 },
			v3T{ 0.14087163, -0.39189764, -0.90915974 }, v3T{ -0.03534787, -0.02750024, 0.99899663 }, v3T{ 0.91016878, 0.06772570, 0.40866370 }, v3T{ 0.70142578, 0.70903193, 0.07263332 },
			v3T{ -0.49486157, -0.54111502, -0.67993129 }, v3T{ -0.26972486, -0.84418773, -0.46324462 }, v3T{ 0.91931005, 0.03121901, 0.39229378 }, v3T{ -0.15332070, -0.87495538, 0.45928842 },
			v3T{ -0.59010107, -0.66883868, 0.45214549 }, v3T{ 0.51964273, -0.78565398, -0.33573688 }, v3T{ -0.25845001, 0.87348329, -0.41259003 }, v3T{ -0.64741807, -0.59846669, 0.47189773 },
			v3T{ -0.79348688, -0.32782128, -0.51274923 }, v3T{ -0.86280237, -0.14342378, -0.48476972 }, v3T{ 0.19469709, -0.76349966, 0.61576076 }, v3T{ 0.39371236, -0.70742193, -0.58697938 },
			v3T{ 0.62103834, -0.50000004, -0.60358209 }, v3T{ -0.19652824, -0.51508695, 0.83430335 }, v3T{ -0.96016549, -0.26826630, -0.07820118 }, v3T{ 0.52655683, 0.84118729, 0.12305219 },
			v3T{ 0.56222101, 0.70557745, -0.43135599 }, v3T{ 0.06395307, 0.99025162, -0.12374061 }, v3T{ -0.65379289, 0.52521996, 0.54470070 }, v3T{ 0.81206590, -0.38643765, 0.43728128 },
			v3T{ -0.69449067, -0.71926243, -0.01855435 }, v3T{ 0.33968533, 0.75504287, 0.56082452 }, v3T{ -0.52402654, -0.70537870, -0.47732282 }, v3T{ -0.65379327, -0.46369816, 0.59794512 },
			v3T{ -0.08582021, -0.01217948, 0.99623619 }, v3T{ -0.66287577, 0.49604924, 0.56083051 }, v3T{ 0.70911302, 0.68748287, -0.15660789 }, v3T{ -0.58662137, -0.46475685, 0.66323181 },
			v3T{ -0.76681755, 0.63310950, -0.10565607 }, v3T{ 0.68601816, -0.59353001, 0.42083395 }, v3T{ 0.64792478, -0.72668696, 0.22829704 }, v3T{ 0.68756542, -0.69062543, 0.22425499 },
			v3T{ -0.46901797, -0.72307343, -0.50713604 }, v3T{ -0.71418521, -0.11738817, 0.69004312 }, v3T{ 0.50880449, -0.80611081, 0.30216445 }, v3T{ 0.27793962, -0.58372922, -0.76289565 },
			v3T{ -0.39417207, 0.91575060, -0.07764800 }, v3T{ -0.84724113, -0.47860304, 0.23048124 }, v3T{ 0.67628991, 0.54362408, -0.49709638 }, v3T{ 0.65073821, -0.09420630, 0.75343544 },
			v3T{ 0.66910202, 0.73566783, -0.10533437 }, v3T{ 0.72191995, -0.00305613, 0.69196983 }, v3T{ -0.00313125, 0.06634333, 0.99779194 }, v3T{ -0.06908811, 0.28990653, -0.95455803 },
			v3T{ 0.17507626, 0.73870621, 0.65089280 }, v3T{ -0.57470594, 0.75735703, 0.31003777 }, v3T{ -0.91870733, 0.08883536, 0.38481830 }, v3T{ -0.27399536, 0.39846316, 0.87530203 },
			v3T{ 0.99772699, -0.05473919, 0.03929993 }, v3T{ 0.22663907, 0.97393801, -0.00891541 }, v3T{ 0.62338001, 0.59656797, -0.50547405 }, v3T{ 0.59177247, 0.49473684, -0.63642816 },
			v3T{ -0.24457664, -0.31345545, 0.91756632 }, v3T{ -0.44691491, -0.89198404, -0.06805539 }, v3T{ -0.83115967, -0.44685014, 0.33090566 }, v3T{ -0.39940345, 0.67719937, -0.61796270 },
			v3T{ 0.55460272, -0.63265953, -0.54051619 }, v3T{ 0.82284412, 0.14794174, -0.54867185 }, v3T{ -0.39887172, -0.82890906, -0.39218761 }, v3T{ 0.28591109, 0.71270085, 0.64055628 },
			v3T{ -0.15438831, 0.66966606, 0.72643762 }, v3T{ -0.75134796, 0.54289699, 0.37515211 }, v3T{ 0.32016243, 0.77691605, -0.54212311 }, v3T{ 0.50884942, 0.15171482, -0.84738119 },
			v3T{ 0.08945627, 0.73684807, 0.67011379 }, v3T{ -0.68792851, -0.71885270, -0.10002580 }, v3T{ 0.02292266, -0.07249674, 0.99710520 }, v3T{ 0.94083723, -0.10191422, 0.32316993 },
			v3T{ -0.81053204, 0.43703808, 0.38991733 }, v3T{ -0.19558496, -0.07485841, 0.97782552 }, v3T{ 0.68911052, -0.49915226, -0.52533200 }, v3T{ 0.19796974, 0.93342057, 0.29922235 },
			v3T{ -0.79540501, -0.26473293, 0.54520395 }, v3T{ -0.27945416, -0.91288360, 0.29757168 }, v3T{ 0.82074194, 0.43648314, 0.36859889 }, v3T{ -0.20594999, -0.70696486, -0.67659832 },
			v3T{ -0.05687654, -0.70968577, 0.70221874 }, v3T{ -0.26280466, 0.69993747, -0.66409430 }, v3T{ -0.54551347, -0.78469719, 0.29438983 }, v3T{ 0.90609571, 0.39319111, 0.15617717 },
			v3T{ 0.69129692, 0.67317351, 0.26257571 }, v3T{ 0.98391565, -0.05206160, 0.17087883 }, v3T{ 0.63806303, 0.67740288, -0.36606134 }, v3T{ -0.50096077, 0.83542684, -0.22605378 },
			v3T{ 0.65237128, 0.35509583, 0.66956603 }, v3T{ -0.85711882, -0.19885856, 0.47518691 }, v3T{ 0.79383271, -0.12451513, 0.59525256 }, v3T{ -0.63301076, 0.07907192, 0.77009416 },
			v3T{ 0.57925311, -0.49077742, 0.65084818 }, v3T{ 0.14070842, 0.97298117, 0.18305403 }, v3T{ -0.59601232, 0.69646383, -0.39963413 }, v3T{ -0.68205637, -0.47455943, 0.55641033 },
			v3T{ 0.47997775, -0.84805982, -0.22453484 }, v3T{ 0.83562547, -0.48273957, 0.26209270 }, v3T{ 0.59180830, 0.36411758, 0.71915320 }, v3T{ 0.66057023, -0.66033264, 0.35722231 },
			v3T{ 0.53319130, 0.75511965, 0.38144639 }, v3T{ -0.21631797, -0.12712992, 0.96801060 }, v3T{ -0.23971441, 0.89928294, -0.36582400 }, v3T{ -0.72825564, 0.27377922, -0.62824252 },
			v3T{ 0.02135570, 0.73882696, 0.67355672 }, v3T{ 0.48112026, 0.78759215, 0.38499597 }, v3T{ -0.58250985, -0.09956878, 0.80670213 }, v3T{ 0.21323385, 0.36856735, 0.90481459 },
			v3T{ -0.36459960, -0.93062781, -0.03160697 }, v3T{ -0.68684541, 0.17314748, -0.70587771 }, v3T{ 0.68032531, -0.07909205, -0.72863017 }, v3T{ 0.25007484, -0.61882132, 0.74466284 },
			v3T{ 0.77055613, 0.59380162, 0.23160935 }, v3T{ 0.67996118, -0.03835970, 0.73224403 }, v3T{ 0.43079959, 0.38901749, -0.81429547 }, v3T{ 0.76815116, -0.63831184, 0.05001794 },
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			v3T{ 0.10261233, -0.69355480, -0.71305852 }, v3T{ 0.65702752, -0.38976767, -0.64528753 }, v3T{ -0.41388260, 0.33890875, 0.84489174 }, v3T{ 0.03028400, -0.46424256, -0.88519022 },
			v3T{ 0.45068344, -0.52775066, -0.71997478 }, v3T{ 0.48930093, 0.41323002, -0.76800101 }, v3T{ 0.28350070, 0.66390322, 0.69199701 }, v3T{ 0.42450922, -0.60916900, 0.66985450 },
			v3T{ 0.67306932, 0.51724488, -0.52861652 }, v3T{ 0.31095891, 0.94487804, -0.10251852 }, v3T{ -0.25569777, 0.90632689, -0.33643754 }, v3T{ -0.21431592, 0.07778980, -0.97366187 },
			v3T{ 0.27676605, -0.87464593, 0.39798876 }, v3T{ 0.00288072, -0.88726140, -0.46125796 }, v3T{ 0.51138622, 0.12353356, 0.85042554 }, v3T{ 0.59734197, 0.76052363, 0.25453168 },
			v3T{ -0.43336730, -0.76588813, 0.47498227 }, v3T{ 0.34180565, -0.68750195, -0.64071052 }, v3T{ -0.65078280, 0.51803512, 0.55508681 }, v3T{ -0.89824124, 0.40466264, -0.17149586 },
			v3T{ 0.54253116, 0.81082175, -0.21960883 }, v3T{ -0.53994336, 0.54836630, 0.63855741 }, v3T{ 0.68778819, 0.33483595, -0.64407475 }, v3T{ -0.63530446, -0.39864092, 0.66141792 },
			v3T{ 0.80728009, -0.58358794, -0.08788616 }, v3T{ 0.94835277, 0.26419320, 0.17558181 }, v3T{ -0.15823843, -0.51165316, 0.84449490 }, v3T{ 0.17510951, -0.22389002, 0.95875436 },
			v3T{ 0.13697442, -0.88598087, 0.44303037 }, v3T{ -0.73457485, -0.23332652, -0.63714874 }, v3T{ 0.95521505, -0.11801760, 0.27135964 }, v3T{ -0.40184319, -0.90170455, -0.15953355 },
			v3T{ 0.16857866, -0.70975159, -0.68398386 }, v3T{ -0.55230772, 0.37144476, 0.74631426 }, v3T{ 0.29875717, -0.61848962, -0.72678383 }, v3T{ 0.62465217, -0.76131685, 0.17379963 },
			v3T{ 0.75759704, 0.19352541, 0.62337360 }, v3T{ -0.10375594, 0.61563856, 0.78116827 }, v3T{ 0.52725731, 0.25296549, 0.81117704 }, v3T{ -0.71292545, -0.53989924, -0.44748867 },
			v3T{ 0.78246146, 0.54867457, 0.29446609 }, v3T{ 0.31458005, 0.63401883, -0.70644145 }, v3T{ -0.09360697, -0.99481997, -0.03963538 }, v3T{ -0.59000956, 0.10880136, -0.80003186 },
			v3T{ 0.49713243, 0.77379744, -0.39255173 }, v3T{ -0.92985377, 0.17383167, 0.32427537 }, v3T{ 0.73574353, -0.63730495, -0.22918086 }, v3T{ -0.04383386, -0.80273910, -0.59471719 },
			v3T{ 0.68411849, 0.52929683, -0.50182344 }, v3T{ -0.19561815, -0.57428906, -0.79493749 }, v3T{ 0.90257811, -0.06366895, -0.42579222 }, v3T{ 0.62294256, 0.39027502, -0.67795868 },
			v3T{ -0.39046281, -0.70398950, 0.59324327 }, v3T{ 0.70990020, 0.62433400, -0.32595821 }, v3T{ -0.99157404, 0.01300690, 0.12888658 }, v3T{ -0.55765988, -0.46179257, 0.68975581 },
			v3T{ -0.53736280, -0.34635255, -0.76894807 }, v3T{ 0.25083685, 0.44726649, -0.85850659 }, v3T{ 0.45758528, 0.86982087, -0.18446507 }, v3T{ -0.18615519, 0.23441065, -0.95414773 },
			v3T{ 0.56359579, -0.41325118, -0.71525048 }, v3T{ -0.48542469, 0.59678985, -0.63890903 }, v3T{ -0.72243931, -0.40815930, 0.55811059 }, v3T{ -0.23748605, 0.68466361, -0.68908354 },
			v3T{ -0.69257361, 0.27959985, -0.66495543 }, v3T{ -0.10352601, -0.17369566, -0.97934273 }, v3T{ 0.00192480, -0.09194122, 0.99576258 }, v3T{ 0.36297645, 0.86362173, 0.34986513 },
			v3T{ -0.71118388, -0.10242990, 0.69550385 }, v3T{ 0.45146824, 0.43080300, 0.78139952 }, v3T{ -0.13265094, -0.68773403, -0.71374059 }, v3T{ 0.56016516, -0.56270148, -0.60793259 },
			v3T{ -0.95871022, -0.27465634, -0.07374694 }, v3T{ -0.84169709, 0.06533746, -0.53598230 }, v3T{ 0.69711911, -0.61618111, -0.36653212 }, v3T{ -0.01620384, 0.59778204, -0.80149490 },
			v3T{ -0.34911215, 0.65899531, -0.66621760 }, v3T{ -0.19279427, -0.50540811, -0.84106659 }, v3T{ -0.60506152, 0.72292944, 0.33357695 }, v3T{ 0.79789244, -0.59553505, 0.09330415 },
			v3T{ -0.48173680, -0.74189415, 0.46639331 }, v3T{ 0.84140763, 0.31839867, 0.43664115 }, v3T{ 0.79614481, 0.60391839, -0.03789486 }, v3T{ 0.19384456, 0.57096572, 0.79776089 },
			v3T{ 0.83441754, -0.25078854, -0.49076723 }, v3T{ -0.62605441, 0.72550166, 0.28583776 }, v3T{ 0.55337866, -0.75558589, 0.35051679 }, v3T{ 0.80543476, -0.01571309, 0.59247611 },
			v3T{ -0.00851542, 0.98991715, 0.14139139 }, v3T{ -0.94076275, -0.29730096, -0.16302633 }, v3T{ -0.75465549, -0.41353736, -0.50939371 }, v3T{ 0.37739255, -0.63080384, 0.67798332 },
			v3T{ 0.47325376, -0.73145333, -0.49092453 }, v3T{ 0.12930721, -0.49066326, -0.86170135 }, v3T{ 0.71173142, -0.11663112, 0.69270165 }, v3T{ 0.41952295, -0.63051086, -0.65303641 },
			v3T{ 0.85916103, 0.42641569, 0.28286390 }, v3T{ 0.54792224, -0.66418740, 0.50856299 }, v3T{ 0.28479416, 0.43856869, 0.85237890 }, v3T{ -0.59050384, -0.68486024, -0.42693285 },
			v3T{ 0.54884141, 0.60847988, 0.57317130 }, v3T{ 0.87567478, 0.25649070, -0.40915304 }, v3T{ 0.02961573, 0.33496172, 0.94176619 }, v3T{ 0.67428181, 0.70665199, 0.21444580 },
			v3T{ 0.23609059, -0.51982231, 0.82100305 }, v3T{ 0.93726653, 0.00671493, 0.34854893 }, v3T{ -0.39891590, -0.91536143, -0.05458531 }, v3T{ 0.93359117, -0.35793085, 0.01711843 },
			v3T{ 0.53572079, -0.56879583, 0.62407896 }, v3T{ -0.61516933, -0.36856434, -0.69694119 }, v3T{ 0.74630703, -0.65946218, -0.09019675 }, v3T{ 0.50607373, -0.59204544, -0.62719342 },
			v3T{ -0.89793356, 0.43675114, 0.05444050 }, v3T{ -0.91682171, 0.07126199, 0.39288634 }, v3T{ -0.61178292, -0.15203616, -0.77627744 }, v3T{ -0.14028895, 0.63023583, 0.76362413 },
			v3T{ 0.71475895, -0.54060748, 0.44369268 }, v3T{ -0.31764961, 0.92630790, -0.20261391 }, v3T{ 0.59833443, -0.58864018, -0.54359788 }, v3T{ -0.81450219, 0.22699691, -0.53390879 },
			v3T{ 0.00452737, -0.06652318, 0.99777461 }, v3T{ 0.59311614, 0.19797584, -0.78039657 }, v3T{ -0.71375488, -0.02586188, 0.69991795 }, v3T{ -0.75600145, -0.26384588, -0.59903853 },
			v3T{ 0.25716644, 0.77480857, -0.57752671 }, v3T{ 0.71712423, 0.61984999, -0.31862018 }, v3T{ -0.28194922, -0.55108799, 0.78537040 }, v3T{ 0.57068285, -0.67066160, 0.47385030 },
			v3T{ 0.48969101, -0.22604767, -0.84208382 }, v3T{ -0.93763991, -0.34062289, 0.06933579 }, v3T{ -0.67376035, 0.15110895, -0.72333469 }, v3T{ -0.72414406, -0.65877431, -0.20403872 },
			v3T{ -0.71204285, 0.41163046, -0.56881926 }, v3T{ 0.23641604, -0.86280490, 0.44685026 }, v3T{ 0.84208951, 0.19949878, -0.50108432 }, v3T{ -0.67481860, 0.67904385, -0.28899707 },
			v3T{ 0.52167146, 0.66360202, 0.53618211 }, v3T{ -0.49330390, -0.48590434, 0.72149029 }, v3T{ -0.18240720, 0.04137646, -0.98235208 }, v3T{ 0.30714395, 0.55170433, 0.77542564 },
			v3T{ -0.14577549, 0.95376355, -0.26283949 }, v3T{ -0.54373260, -0.69781662, -0.46626905 }, v3T{ 0.01799205, -0.81833182, 0.57446437 }, v3T{ 0.51019037, -0.56615200, -0.64743934 },
			v3T{ 0.48463473, 0.59436639, 0.64176146 }, v3T{ 0.09115853, -0.52830175, -0.84414891 }, v3T{ -0.62962436, -0.38408030, -0.67531880 }, v3T{ 0.50864721, -0.48401592, -0.71204396 },
			v3T{ -0.69669235, -0.63427804, -0.33512853 }, v3T{ 0.60735178, -0.18339351, 0.77297518 }, v3T{ 0.74102699, 0.67064566, 0.03336744 }, v3T{ -0.47352242, -0.76145583, -0.44267543 },
			v3T{ 0.47751531, -0.79737827, -0.36900816 }, v3T{ 0.74175025, -0.64892413, 0.16942269 }, v3T{ 0.65484829, -0.70924167, -0.26105549 }, v3T{ 0.60455058, -0.64392987, -0.46890608 },
			v3T{ -0.61878613, -0.77223405, 0.14407742 }, v3T{ -0.72376655, -0.65562529, 0.21521492 }, v3T{ 0.24420910, -0.52118606, -0.81775731 }, v3T{ 0.61291622, 0.39870471, -0.68217906 },
			v3T{ 0.67751893, 0.65970488, 0.32520389 }, v3T{ -0.04366879, -0.96113671, 0.27259726 }, v3T{ 0.36541094, 0.62808212, 0.68701361 }, v3T{ -0.92572867, 0.10611717, -0.36299528 },
			v3T{ 0.80766374, -0.02031352, -0.58929335 }, v3T{ -0.82117076, 0.53034081, 0.21075390 }, v3T{ -0.62778197, -0.51872129, 0.58036025 }, v3T{ 0.37696186, 0.57743439, -0.72420251 },
			v3T{ -0.56818895, -0.47089866, -0.67484500 }, v3T{ -0.61126182, -0.69853192, 0.37203783 }, v3T{ 0.57901952, 0.81284241, -0.06343191 }, v3T{ -0.53287943, 0.70445351, 0.46881208 },
			v3T{ 0.22300157, -0.93258969, 0.28380764 }, v3T{ -0.63832115, -0.40157013, -0.65672486 }, v3T{ -0.22074780, 0.50999380, 0.83137040 }, v3T{ -0.59081050, -0.13684815, -0.79511982 },
			v3T{ -0.79824305, 0.52060475, -0.30295004 }, v3T{ -0.56871170, 0.76435226, 0.30386284 }, v3T{ 0.12786983, -0.64236825, -0.75565358 }, v3T{ -0.17631562, -0.76167939, -0.62350405 },
			v3T{ 0.34713709, 0.61125835, -0.71123770 }, v3T{ -0.39238887, -0.52886732, 0.75254922 }, v3T{ 0.38116332, 0.71358998, -0.58779577 }, v3T{ -0.72949527, -0.67040404, 0.13562844 },
			v3T{ -0.62057913, 0.45165344, -0.64100757 }, v3T{ -0.10668918, -0.98309252, -0.14881706 }, v3T{ 0.59490400, -0.46196716, -0.65778079 }, v3T{ 0.22433782, 0.49054463, 0.84204424 },
			v3T{ 0.77498791, -0.57220981, 0.26827165 }, v3T{ 0.26474565, 0.93986866, -0.21576987 }, v3T{ -0.01328623, 0.99975439, 0.01773780 }, v3T{ 0.53097408, 0.47771884, 0.69989373 },
			v3T{ 0.24635212, -0.37499947, -0.89369236 }, v3T{ 0.31300988, -0.54171955, 0.78010560 }, v3T{ 0.77494650, -0.52634980, 0.34987684 }, v3T{ 0.65518408, 0.51410661, -0.55355958 },
			v3T{ 0.78000762, -0.61855443, -0.09475515 }, v3T{ 0.58176976, 0.62638121, 0.51883574 }, v3T{ -0.62371886, -0.59433046, 0.50768699 }, v3T{ 0.85206333, 0.17478222, -0.49339564 },
			v3T{ 0.69974170, -0.42963013, 0.57077098 }, v3T{ -0.44953934, 0.62956163, -0.63369277 }, v3T{ 0.63562255, 0.51965998, -0.57090935 }, v3T{ -0.02766532, -0.52812789, -0.84871406 },
			v3T{ 0.78698609, 0.04742916, -0.61514500 }, v3T{ 0.37827449, 0.78614098, 0.48876454 }, v3T{ 0.90534508, -0.25600916, -0.33883565 }, v3T{ -0.37701605, 0.47347359, -0.79604124 },
			v3T{ -0.43802429, 0.40756165, -0.80126664 }, v3T{ -0.87945568, -0.47372426, -0.04629300 }, v3T{ -0.22787901, -0.82242670, 0.52123457 }, v3T{ 0.48721529, 0.74652617, -0.45312243 },
			v3T{ -0.68473990, -0.68222429, 0.25632263 }, v3T{ -0.33289944, 0.62102263, -0.70958358 }, v3T{ -0.07838790, -0.85438083, -0.51370101 }, v3T{ 0.18575601, 0.96209034, 0.19969195 },
			v3T{ 0.09048656, -0.68256793, -0.72519874 }, v3T{ 0.29506068, -0.68306389, -0.66810397 }, v3T{ -0.94937153, -0.17748927, 0.25921277 }, v3T{ -0.38725072, 0.16372291, 0.90732116 },
			v3T{ -0.02691563, 0.81898594, 0.57318198 }, v3T{ -0.65244629, -0.52276924, -0.54865851 }, v3T{ 0.15270967, -0.00097578, 0.98827061 }, v3T{ 0.39108739, 0.55471383, -0.73439990 },
			v3T{ 0.85379797, -0.05140234, 0.51806064 }, v3T{ 0.31443713, 0.14998906, -0.93735403 }, v3T{ -0.44277186, -0.56474741, -0.69642907 }, v3T{ -0.31521736, 0.37268196, 0.87278071 },
			v3T{ 0.97997903, -0.16829529, 0.10638514 }, v3T{ -0.25174419, -0.84939324, 0.46384910 }, v3T{ 0.03867740, -0.72044135, 0.69243651 }, v3T{ -0.80207202, 0.48047131, 0.35472214 },
			v3T{ 0.48200634, -0.48413492, 0.73026246 }, v3T{ -0.41800015, 0.44068588, -0.79440029 }, v3T{ 0.58661859, -0.43233611, 0.68480955 }, v3T{ 0.40830998, -0.53710845, 0.73810397 },
			v3T{ 0.61242611, -0.72220206, -0.32149407 }, v3T{ -0.34159283, -0.62199145, -0.70458567 }, v3T{ -0.29885191, 0.58492128, -0.75402562 }, v3T{ -0.62924060, 0.77130626, -0.09561862 },
			v3T{ 0.91118189, 0.27762192, 0.30442344 }, v3T{ 0.08064464, -0.99213777, -0.09570315 }, v3T{ 0.93083382, -0.34928416, -0.10746612 }, v3T{ 0.66101659, -0.67569323, 0.32633681 },
			v3T{ 0.07148482, -0.97619739, -0.20476469 }, v3T{ 0.30440743, -0.78193565, -0.54397863 }, v3T{ -0.35656518, -0.19962907, 0.91269355 }, v3T{ 0.82151650, -0.31061678, 0.47815045 },
			v3T{ -0.69709423, -0.71173375, -0.08657198 }, v3T{ -0.46044170, -0.78565215, -0.41321197 }, v3T{ -0.70275364, -0.21121895, 0.67935548 }, v3T{ 0.38087769, 0.63933041, 0.66797366 }
		};
		return g;
	}

	/// <summary>
	/// Initializes the offsets used in the crackle variation.
	/// </summary>
	/// <returns>A copy of the locally declared vector</returns>
	std::vector<v2T> InitOffsets()
	{
		std::vector<v2T> g =
		{
			{ -1, -1 }, { -1, 0 }, { -1, 1 },
			{ 0, -1 }, { 0, 0 }, { 0, 1 },
			{ 1, -1 }, { 1, 0 }, { 1, 1 }
		};
		return g;
	}

	std::vector<int> m_P;
	std::vector<T> m_PFloats;
	std::vector<v2T> m_Offsets;
	std::vector<v3T> m_Grad;
	std::unordered_map<string, pair<const T*, size_t>> m_GlobalMap;
};
}