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>
	/// 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
		T t;       // Temp double
		// 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 = (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) / (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;
	}

	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_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));
	}

	/// <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 },
			v3T{ -0.13601015, 0.75596033, -0.64033211 }, v3T{ 0.36884321, -0.45188838, -0.81225093 }, v3T{ 0.79562623, -0.43647179, 0.42008485 }, v3T{ -0.65875496, 0.39126701, -0.64261344 },
			v3T{ -0.68899899, 0.44217527, 0.57424858 }, v3T{ 0.25292617, 0.96620732, -0.04971687 }, v3T{ -0.68558843, -0.70460233, 0.18304118 }, v3T{ 0.86382379, 0.29507865, 0.40833448 },
			v3T{ 0.13627838, 0.31500179, 0.93925613 }, v3T{ 0.67187940, 0.64336667, 0.36695693 }, v3T{ 0.37977583, 0.31123423, 0.87115072 }, v3T{ -0.03326050, -0.99451574, -0.09915731 },
			v3T{ -0.66427749, -0.01424397, -0.74735033 }, v3T{ 0.68859558, 0.44744486, -0.57063931 }, v3T{ -0.56738045, 0.30154774, -0.76625608 }, v3T{ -0.58488004, 0.63357146, 0.50646080 },
			v3T{ 0.38842469, 0.92016339, 0.04925032 }, v3T{ 0.15316057, -0.97495961, -0.16123153 }, v3T{ 0.57623375, 0.51659393, 0.63331301 }, v3T{ 0.32392581, -0.79816566, -0.50794059 },
			v3T{ 0.73136440, -0.54179646, 0.41420129 }, v3T{ -0.58929886, -0.58690534, -0.55521975 }, v3T{ 0.64030162, 0.32487137, -0.69604054 }, v3T{ 0.80502987, -0.00635101, 0.59320028 },
			v3T{ 0.46595373, 0.62005710, -0.63120227 }, v3T{ 0.83612498, 0.53677947, 0.11297261 }, v3T{ -0.60753284, -0.29028728, -0.73934913 }, v3T{ -0.45583848, 0.84488003, 0.27998037 },
			v3T{ -0.27320563, -0.39709327, 0.87617100 }, v3T{ 0.84893256, -0.09000823, 0.52078021 }, v3T{ -0.35708766, -0.73203774, 0.58018027 }, v3T{ 0.10507148, -0.71032871, 0.69598355 },
			v3T{ 0.68468508, 0.26788814, -0.67782172 }, v3T{ -0.94602428, -0.13594737, -0.29420466 }, v3T{ 0.27104088, 0.95431757, 0.12575696 }, v3T{ -0.55840113, 0.14909310, 0.81606337 },
			v3T{ 0.47553129, 0.80729730, 0.34948685 }, v3T{ -0.01891509, -0.97526220, 0.22024047 }, v3T{ -0.65760518, -0.45924250, -0.59720327 }, v3T{ -0.70549425, 0.70862555, 0.01129989 },
			v3T{ -0.88864223, 0.43707946, -0.13883994 }, v3T{ 0.49252849, -0.43814774, 0.75195894 }, v3T{ -0.01398277, 0.69598571, 0.71791947 }, v3T{ -0.67265622, 0.27228276, -0.68803758 },
			v3T{ -0.91724038, -0.01083918, -0.39818663 }, v3T{ -0.24468025, 0.75690032, 0.60599792 }, v3T{ -0.49070434, -0.48530058, 0.72366608 }, v3T{ 0.67110346, -0.55453760, -0.49204492 },
			v3T{ -0.95532877, -0.26328211, -0.13427388 }, v3T{ -0.66012945, 0.41730904, 0.62456567 }, v3T{ 0.96822786, -0.03273592, 0.24791766 }, v3T{ 0.91952853, 0.23575545, -0.31446248 },
			v3T{ 0.63712542, 0.06762652, 0.76778763 }, v3T{ -0.21680947, 0.65843559, 0.72073312 }, v3T{ 0.06143588, 0.47272235, -0.87906724 }, v3T{ 0.70541616, -0.21884659, 0.67416186 },
			v3T{ -0.04396589, -0.67487644, -0.73661984 }, v3T{ -0.65032618, 0.75012744, 0.11993615 }, v3T{ -0.78840054, 0.58187068, -0.19962741 }, v3T{ 0.99318416, 0.11467779, 0.02083796 },
			v3T{ 0.76775820, 0.46845611, -0.43714554 }, v3T{ -0.70891635, -0.54302381, -0.45006972 }, v3T{ 0.55548849, -0.71825576, -0.41897638 }, v3T{ -0.62167600, 0.77500231, 0.11353575 },
			v3T{ 0.38413022, -0.79687865, 0.46629218 }, v3T{ -0.56271512, 0.54186596, -0.62428597 }, v3T{ 0.62019121, -0.70563211, -0.34270424 }, v3T{ 0.85913131, 0.50529005, 0.08108862 },
			v3T{ 0.54973106, -0.66129569, -0.51037612 }, v3T{ -0.74254469, -0.49670185, -0.44934914 }, v3T{ -0.75780366, 0.59195518, -0.27444976 }, v3T{ -0.40050287, 0.04302113, -0.91528500 },
			v3T{ -0.60859484, 0.35063171, 0.71180736 }, v3T{ -0.57297537, 0.81938865, -0.01736289 }, v3T{ 0.98721933, 0.09373543, -0.12888621 }, v3T{ 0.30397213, 0.87942861, 0.36634172 },
			v3T{ 0.32615126, -0.64515144, -0.69094498 }, v3T{ 0.83015604, 0.30783918, 0.46483974 }, v3T{ 0.42822875, -0.04288671, -0.90265213 }, v3T{ 0.16585965, 0.53714643, 0.82702133 },
			v3T{ -0.37193298, 0.88497229, 0.28016051 }, v3T{ 0.73544877, 0.67744273, 0.01365471 }, v3T{ -0.66150496, 0.09327263, -0.74411787 }, v3T{ 0.41664753, -0.23786298, -0.87739731 },
			v3T{ -0.78513086, -0.42653313, 0.44904233 }, v3T{ 0.08029855, 0.84803303, 0.52382451 }, v3T{ -0.09507221, 0.50524394, -0.85772364 }, v3T{ 0.66939507, -0.17805679, 0.72125309 },
			v3T{ -0.76923153, 0.41652205, -0.48455364 }, v3T{ 0.51989556, 0.79632686, 0.30914743 }, v3T{ 0.85617969, -0.51024476, 0.08128121 }, v3T{ 0.71830013, 0.03208003, 0.69499337 },
			v3T{ -0.96000528, -0.11640072, -0.25463844 }, v3T{ 0.66084196, -0.19355993, 0.72513617 }, v3T{ -0.57661819, -0.54757438, 0.60636109 }, v3T{ 0.65123443, -0.64818909, -0.39464494 },
			v3T{ 0.36952748, -0.22540306, -0.90146708 }, v3T{ 0.34048182, -0.33515083, 0.87849078 }, v3T{ 0.11132435, -0.75280467, 0.64876191 }, v3T{ 0.67563520, 0.64934616, -0.34909404 },
			v3T{ 0.23316576, 0.69276343, -0.68243135 }, v3T{ 0.30368064, -0.87532007, 0.37628825 }, v3T{ -0.27080673, -0.74246398, 0.61270789 }, v3T{ -0.21655683, -0.49565083, -0.84109060 },
			v3T{ -0.98776592, -0.14473189, 0.05806181 }, v3T{ 0.64562720, 0.38598860, 0.65892209 }, v3T{ -0.63746045, -0.57205546, 0.51613635 }, v3T{ 0.06117405, -0.78423981, -0.61743474 },
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			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;
	}

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