Chaste Commit::ca8ccdedf819b6e02855bc0e8e6f50bdecbc5208
OpenSimplex2S.cpp
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1
21#include "OpenSimplex2S.hpp"
22
23OpenSimplex2S::Grad2 OpenSimplex2S::GRADIENTS_2D[OpenSimplex2S::PSIZE] {};
24OpenSimplex2S::Grad3 OpenSimplex2S::GRADIENTS_3D[OpenSimplex2S::PSIZE] {};
25OpenSimplex2S::Grad4 OpenSimplex2S::GRADIENTS_4D[OpenSimplex2S::PSIZE] {};
26
27OpenSimplex2S::LatticePoint2D OpenSimplex2S::LOOKUP_2D[8 * 4] {};
28OpenSimplex2S::LatticePoint3D OpenSimplex2S::LOOKUP_3D[8] {};
29OpenSimplex2S::LatticePoint4D OpenSimplex2S::LOOKUP_4D[256][20] {};
30unsigned char OpenSimplex2S::LOOKUP_4D_SIZE[256] {};
31
32OpenSimplex2S::Initializer::Initializer()
33{
34 OpenSimplex2S::initLatticePoints();
35 OpenSimplex2S::initGradients();
36}
37
38OpenSimplex2S::Initializer OpenSimplex2S::initializer {};
39
40OpenSimplex2S::OpenSimplex2S(long seed)
41{
42 short source[PSIZE] {};
43 for (short i = 0; i < PSIZE; i++) {
44 source[i] = i;
45 }
46 for (int i = PSIZE - 1; i >= 0; i--) {
47 seed = seed * 6364136223846793005L + 1442695040888963407L;
48 int r = static_cast<int>((seed + 31) % (i + 1));
49 if (r < 0) {
50 r += (i + 1);
51 }
52 perm[i] = source[r];
53 permGrad2[i] = GRADIENTS_2D[perm[i]];
54 permGrad3[i] = GRADIENTS_3D[perm[i]];
55 permGrad4[i] = GRADIENTS_4D[perm[i]];
56 source[r] = source[i];
57 }
58}
59
63double OpenSimplex2S::noise2(double x, double y)
64{
65 // Get points for A2* lattice
66 double s = 0.366025403784439 * (x + y);
67 double xs = x + s;
68 double ys = y + s;
69
70 return noise2_Base(xs, ys);
71}
72
78double OpenSimplex2S::noise2_XBeforeY(double x, double y)
79{
80 // Skew transform and rotation baked into one.
81 double xx = x * 0.7071067811865476;
82 double yy = y * 1.224744871380249;
83
84 return noise2_Base(yy + xx, yy - xx);
85}
86
91double OpenSimplex2S::noise2_Base(double xs, double ys)
92{
93 double value = 0;
94
95 // Get base points and offsets
96 int xsb = fastFloor(xs);
97 int ysb = fastFloor(ys);
98 double xsi = xs - xsb;
99 double ysi = ys - ysb;
100
101 // Index to point list
102 int a = static_cast<int>(xsi + ysi);
103 int index = (a << 2) | static_cast<int>(xsi - ysi / 2 + 1 - a / 2.0) << 3
104 | static_cast<int>(ysi - xsi / 2 + 1 - a / 2.0) << 4;
105
106 double ssi = (xsi + ysi) * -0.211324865405187;
107 double xi = xsi + ssi;
108 double yi = ysi + ssi;
109
110 // Point contributions
111 for (int i = 0; i < 4; i++) {
112 LatticePoint2D c = LOOKUP_2D[index + i];
113
114 double dx = xi + c.dx;
115 double dy = yi + c.dy;
116 double attn = 2.0 / 3.0 - dx * dx - dy * dy;
117 if (attn <= 0) {
118 continue;
119 }
120
121 int pxm = (xsb + c.xsv) & PMASK;
122 int pym = (ysb + c.ysv) & PMASK;
123 Grad2 grad = permGrad2[perm[pxm] ^ pym];
124 double extrapolation = grad.dx * dx + grad.dy * dy;
125
126 attn *= attn;
127 value += attn * attn * extrapolation;
128 }
129
130 return value;
131}
132
139double OpenSimplex2S::noise3_Classic(double x, double y, double z)
140{
141 // Re-orient the cubic lattices via rotation, to produce the expected look on cardinal planar
142 // slices. If texturing objects that don't tend to have cardinal plane faces, you could even
143 // remove this. Orthonormal rotation. Not a skew transform.
144 double r = (2.0 / 3.0) * (x + y + z);
145 double xr = r - x;
146 double yr = r - y;
147 double zr = r - z;
148
149 // Evaluate both lattices to form a BCC lattice.
150 return noise3_BCC(xr, yr, zr);
151}
152
161double OpenSimplex2S::noise3_XYBeforeZ(double x, double y, double z)
162{
163 // Re-orient the cubic lattices without skewing, to make X and Y triangular like 2D.
164 // Orthonormal rotation. Not a skew transform.
165 double xy = x + y;
166 double s2 = xy * -0.211324865405187;
167 double zz = z * 0.577350269189626;
168 double xr = x + s2 - zz;
169 double yr = y + s2 - zz;
170 double zr = xy * 0.577350269189626 + zz;
171
172 // Evaluate both lattices to form a BCC lattice.
173 return noise3_BCC(xr, yr, zr);
174}
175
184double OpenSimplex2S::noise3_XZBeforeY(double x, double y, double z)
185{
186 // Re-orient the cubic lattices without skewing, to make X and Z triangular like 2D.
187 // Orthonormal rotation. Not a skew transform.
188 double xz = x + z;
189 double s2 = xz * -0.211324865405187;
190 double yy = y * 0.577350269189626;
191 double xr = x + s2 - yy;
192 double zr = z + s2 - yy;
193 double yr = xz * 0.577350269189626 + yy;
194
195 // Evaluate both lattices to form a BCC lattice.
196 return noise3_BCC(xr, yr, zr);
197}
198
205double OpenSimplex2S::noise3_BCC(double xr, double yr, double zr)
206{
207 // Get base and offsets inside cube of first lattice.
208 int xrb = fastFloor(xr);
209 int yrb = fastFloor(yr);
210 int zrb = fastFloor(zr);
211 double xri = xr - xrb;
212 double yri = yr - yrb;
213 double zri = zr - zrb;
214
215 // Identify which octant of the cube we're in. This determines which cell
216 // in the other cubic lattice we're in, and also narrows down one point on each.
217 int xht = static_cast<int>(xri + 0.5);
218 int yht = static_cast<int>(yri + 0.5);
219 int zht = static_cast<int>(zri + 0.5);
220 int index = (xht << 0) | (yht << 1) | (zht << 2);
221
222 // Point contributions
223 double value = 0;
224 LatticePoint3D* c = &LOOKUP_3D[index];
225 while (c != nullptr) {
226 double dxr = xri + c->dxr;
227 double dyr = yri + c->dyr;
228 double dzr = zri + c->dzr;
229 double attn = 0.75 - dxr * dxr - dyr * dyr - dzr * dzr;
230 if (attn < 0) {
231 c = c->nextOnFailure.get();
232 } else {
233 int pxm = (xrb + c->xrv) & PMASK;
234 int pym = (yrb + c->yrv) & PMASK;
235 int pzm = (zrb + c->zrv) & PMASK;
236 Grad3 grad = permGrad3[perm[perm[pxm] ^ pym] ^ pzm];
237 double extrapolation = grad.dx * dxr + grad.dy * dyr + grad.dz * dzr;
238
239 attn *= attn;
240 value += attn * attn * extrapolation;
241 c = c->nextOnSuccess.get();
242 }
243 }
244 return value;
245}
246
250double OpenSimplex2S::noise4_Classic(double x, double y, double z, double w)
251{
252 // Get points for A4 lattice
253 double s = 0.309016994374947 * (x + y + z + w);
254 double xs = x + s;
255 double ys = y + s;
256 double zs = z + s;
257 double ws = w + s;
258
259 return noise4_Base(xs, ys, zs, ws);
260}
261
267double OpenSimplex2S::noise4_XYBeforeZW(double x, double y, double z, double w)
268{
269 double s2 = (x + y) * -0.28522513987434876941 + (z + w) * 0.83897065470611435718;
270 double t2 = (z + w) * 0.21939749883706435719 + (x + y) * -0.48214856493302476942;
271 double xs = x + s2;
272 double ys = y + s2;
273 double zs = z + t2;
274 double ws = w + t2;
275
276 return noise4_Base(xs, ys, zs, ws);
277}
278
283double OpenSimplex2S::noise4_XZBeforeYW(double x, double y, double z, double w)
284{
285 double s2 = (x + z) * -0.28522513987434876941 + (y + w) * 0.83897065470611435718;
286 double t2 = (y + w) * 0.21939749883706435719 + (x + z) * -0.48214856493302476942;
287 double xs = x + s2;
288 double ys = y + t2;
289 double zs = z + s2;
290 double ws = w + t2;
291
292 return noise4_Base(xs, ys, zs, ws);
293}
294
300double OpenSimplex2S::noise4_XYZBeforeW(double x, double y, double z, double w)
301{
302 double xyz = x + y + z;
303 double ww = w * 1.118033988749894;
304 double s2 = xyz * -0.16666666666666666 + ww;
305 double xs = x + s2;
306 double ys = y + s2;
307 double zs = z + s2;
308 double ws = -0.5 * xyz + ww;
309
310 return noise4_Base(xs, ys, zs, ws);
311}
312
319double OpenSimplex2S::noise4_Base(double xs, double ys, double zs, double ws)
320{
321 double value = 0;
322
323 // Get base points and offsets
324 int xsb = fastFloor(xs);
325 int ysb = fastFloor(ys);
326 int zsb = fastFloor(zs);
327 int wsb = fastFloor(ws);
328 double xsi = xs - xsb;
329 double ysi = ys - ysb;
330 double zsi = zs - zsb;
331 double wsi = ws - wsb;
332
333 // Unskewed offsets
334 double ssi = (xsi + ysi + zsi + wsi) * -0.138196601125011;
335 double xi = xsi + ssi;
336 double yi = ysi + ssi;
337 double zi = zsi + ssi;
338 double wi = wsi + ssi;
339
340 int index = ((fastFloor(xs * 4) & 3) << 0) | ((fastFloor(ys * 4) & 3) << 2)
341 | ((fastFloor(zs * 4) & 3) << 4) | ((fastFloor(ws * 4) & 3) << 6);
342
343 // Point contributions
344 for (int i = 0; i < LOOKUP_4D_SIZE[index]; ++i) {
345 auto& c = LOOKUP_4D[index][i];
346 double dx = xi + c.dx;
347 double dy = yi + c.dy;
348 double dz = zi + c.dz;
349 double dw = wi + c.dw;
350 double attn = 0.8 - dx * dx - dy * dy - dz * dz - dw * dw;
351 if (attn > 0) {
352 attn *= attn;
353
354 int pxm = (xsb + c.xsv) & PMASK;
355 int pym = (ysb + c.ysv) & PMASK;
356 int pzm = (zsb + c.zsv) & PMASK;
357 int pwm = (wsb + c.wsv) & PMASK;
358 Grad4 grad = permGrad4[perm[perm[perm[pxm] ^ pym] ^ pzm] ^ pwm];
359 double extrapolation = grad.dx * dx + grad.dy * dy + grad.dz * dz + grad.dw * dw;
360
361 value += attn * attn * extrapolation;
362 }
363 }
364 return value;
365}
366
367int OpenSimplex2S::fastFloor(double x)
368{
369 int xi = static_cast<int>(x);
370 return x < xi ? xi - 1 : xi;
371}
372
373OpenSimplex2S::LatticePoint2D::LatticePoint2D(int a_xsv, int a_ysv)
374{
375 xsv = a_xsv;
376 ysv = a_ysv;
377 double ssv = (a_xsv + a_ysv) * -0.211324865405187;
378 dx = -a_xsv - ssv;
379 dy = -a_ysv - ssv;
380}
381
382OpenSimplex2S::LatticePoint2D::LatticePoint2D() = default;
383
384OpenSimplex2S::LatticePoint3D::LatticePoint3D(int a_xrv, int a_yrv, int a_zrv, int lattice)
385{
386 dxr = -a_xrv + lattice * 0.5;
387 dyr = -a_yrv + lattice * 0.5;
388 dzr = -a_zrv + lattice * 0.5;
389 xrv = a_xrv + lattice * 1024;
390 yrv = a_yrv + lattice * 1024;
391 zrv = a_zrv + lattice * 1024;
392}
393
394OpenSimplex2S::LatticePoint3D::LatticePoint3D() = default;
395
396OpenSimplex2S::LatticePoint4D::LatticePoint4D(int a_xsv, int a_ysv, int a_zsv, int a_wsv)
397{
398 xsv = a_xsv;
399 ysv = a_ysv;
400 zsv = a_zsv;
401 wsv = a_wsv;
402 double ssv = (a_xsv + a_ysv + a_zsv + a_wsv) * -0.138196601125011;
403 dx = -a_xsv - ssv;
404 dy = -a_ysv - ssv;
405 dz = -a_zsv - ssv;
406 dw = -a_wsv - ssv;
407}
408
409OpenSimplex2S::LatticePoint4D::LatticePoint4D() = default;
410
411void OpenSimplex2S::initLatticePoints()
412{
413 for (int i = 0; i < 8; i++) {
414 int i1, j1, i2, j2;
415 if ((i & 1) == 0) {
416 if ((i & 2) == 0) {
417 i1 = -1;
418 j1 = 0;
419 } else {
420 i1 = 1;
421 j1 = 0;
422 }
423 if ((i & 4) == 0) {
424 i2 = 0;
425 j2 = -1;
426 } else {
427 i2 = 0;
428 j2 = 1;
429 }
430 } else {
431 if ((i & 2) != 0) {
432 i1 = 2;
433 j1 = 1;
434 } else {
435 i1 = 0;
436 j1 = 1;
437 }
438 if ((i & 4) != 0) {
439 i2 = 1;
440 j2 = 2;
441 } else {
442 i2 = 1;
443 j2 = 0;
444 }
445 }
446 LOOKUP_2D[i * 4 + 0] = { 0, 0 };
447 LOOKUP_2D[i * 4 + 1] = { 1, 1 };
448 LOOKUP_2D[i * 4 + 2] = { i1, j1 };
449 LOOKUP_2D[i * 4 + 3] = { i2, j2 };
450 }
451
452 for (int i = 0; i < 8; i++) {
453 int i1, j1, k1, i2, j2, k2;
454 i1 = (i >> 0) & 1;
455 j1 = (i >> 1) & 1;
456 k1 = (i >> 2) & 1;
457 i2 = i1 ^ 1;
458 j2 = j1 ^ 1;
459 k2 = k1 ^ 1;
460
461 // The two points within this octant, one from each of the two cubic half-lattices.
462 auto c0 = std::make_shared<LatticePoint3D>(i1, j1, k1, 0);
463 auto c1 = std::make_shared<LatticePoint3D>(i1 + i2, j1 + j2, k1 + k2, 1);
464
465 // (1, 0, 0) vs (0, 1, 1) away from octant.
466 auto c2 = std::make_shared<LatticePoint3D>(i1 ^ 1, j1, k1, 0);
467 auto c3 = std::make_shared<LatticePoint3D>(i1, j1 ^ 1, k1 ^ 1, 0);
468
469 // (1, 0, 0) vs (0, 1, 1) away from octant, on second half-lattice.
470 auto c4 = std::make_shared<LatticePoint3D>(i1 + (i2 ^ 1), j1 + j2, k1 + k2, 1);
471 auto c5 = std::make_shared<LatticePoint3D>(i1 + i2, j1 + (j2 ^ 1), k1 + (k2 ^ 1), 1);
472
473 // (0, 1, 0) vs (1, 0, 1) away from octant.
474 auto c6 = std::make_shared<LatticePoint3D>(i1, j1 ^ 1, k1, 0);
475 auto c7 = std::make_shared<LatticePoint3D>(i1 ^ 1, j1, k1 ^ 1, 0);
476
477 // (0, 1, 0) vs (1, 0, 1) away from octant, on second half-lattice.
478 auto c8 = std::make_shared<LatticePoint3D>(i1 + i2, j1 + (j2 ^ 1), k1 + k2, 1);
479 auto c9 = std::make_shared<LatticePoint3D>(i1 + (i2 ^ 1), j1 + j2, k1 + (k2 ^ 1), 1);
480
481 // (0, 0, 1) vs (1, 1, 0) away from octant.
482 auto cA = std::make_shared<LatticePoint3D>(i1, j1, k1 ^ 1, 0);
483 auto cB = std::make_shared<LatticePoint3D>(i1 ^ 1, j1 ^ 1, k1, 0);
484
485 // (0, 0, 1) vs (1, 1, 0) away from octant, on second half-lattice.
486 auto cC = std::make_shared<LatticePoint3D>(i1 + i2, j1 + j2, k1 + (k2 ^ 1), 1);
487 auto cD = std::make_shared<LatticePoint3D>(i1 + (i2 ^ 1), j1 + (j2 ^ 1), k1 + k2, 1);
488
489 // First two points are guaranteed.
490 c0->nextOnFailure = c0->nextOnSuccess = c1;
491 c1->nextOnFailure = c1->nextOnSuccess = c2;
492
493 // If c2 is in range, then we know c3 and c4 are not.
494 c2->nextOnFailure = c3;
495 c2->nextOnSuccess = c5;
496 c3->nextOnFailure = c4;
497 c3->nextOnSuccess = c4;
498
499 // If c4 is in range, then we know c5 is not.
500 c4->nextOnFailure = c5;
501 c4->nextOnSuccess = c6;
502 c5->nextOnFailure = c5->nextOnSuccess = c6;
503
504 // If c6 is in range, then we know c7 and c8 are not.
505 c6->nextOnFailure = c7;
506 c6->nextOnSuccess = c9;
507 c7->nextOnFailure = c8;
508 c7->nextOnSuccess = c8;
509
510 // If c8 is in range, then we know c9 is not.
511 c8->nextOnFailure = c9;
512 c8->nextOnSuccess = cA;
513 c9->nextOnFailure = c9->nextOnSuccess = cA;
514
515 // If cA is in range, then we know cB and cC are not.
516 cA->nextOnFailure = cB;
517 cA->nextOnSuccess = cD;
518 cB->nextOnFailure = cC;
519 cB->nextOnSuccess = cC;
520
521 // If cC is in range, then we know cD is not.
522 cC->nextOnFailure = cD;
523 cC->nextOnSuccess = nullptr;
524 cD->nextOnFailure = cD->nextOnSuccess = nullptr;
525
526 LOOKUP_3D[i] = *c0;
527 }
528
529 unsigned char lookup4DPregenSize[256] {
530 // clang-format off
531 20, 15, 16, 17, 15, 16, 12, 15, 16, 12, 10, 14, 17, 15, 14, 17,
532 15, 16, 12, 15, 16, 14, 14, 13, 12, 14, 11, 12, 15, 13, 12, 14,
533 16, 12, 10, 14, 12, 14, 11, 12, 10, 11, 10, 13, 14, 12, 13, 15,
534 17, 15, 14, 17, 15, 13, 12, 14, 14, 12, 13, 15, 17, 14, 15, 17,
535 15, 16, 12, 15, 16, 14, 14, 13, 12, 14, 11, 12, 15, 13, 12, 14,
536 16, 14, 14, 13, 14, 16, 16, 10, 14, 16, 19, 11, 13, 10, 11, 10,
537 12, 14, 11, 12, 14, 16, 19, 11, 11, 19, 13, 14, 12, 11, 14, 13,
538 15, 13, 12, 14, 13, 10, 11, 10, 12, 11, 14, 13, 14, 10, 13, 13,
539 16, 12, 10, 14, 12, 14, 11, 12, 10, 11, 10, 13, 14, 12, 13, 15,
540 12, 14, 11, 12, 14, 16, 19, 11, 11, 19, 13, 14, 12, 11, 14, 13,
541 10, 11, 10, 13, 11, 19, 13, 14, 10, 13, 16, 14, 13, 14, 14, 16,
542 14, 12, 13, 15, 12, 11, 14, 13, 13, 14, 14, 16, 15, 13, 16, 15,
543 17, 15, 14, 17, 15, 13, 12, 14, 14, 12, 13, 15, 17, 14, 15, 17,
544 15, 13, 12, 14, 13, 10, 11, 10, 12, 11, 14, 13, 14, 10, 13, 13,
545 14, 12, 13, 15, 12, 11, 14, 13, 13, 14, 14, 16, 15, 13, 16, 15,
546 17, 14, 15, 17, 14, 10, 13, 13, 15, 13, 16, 15, 17, 13, 15, 20,
547 // clang-format on
548 };
549
550 unsigned char lookup4DPregen[256][20] {
551 // clang-format off
552 { 0x15, 0x45, 0x51, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA },
553 { 0x15, 0x45, 0x51, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00 },
554 { 0x01, 0x05, 0x11, 0x15, 0x41, 0x45, 0x51, 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xA6, 0xAA, 0x00, 0x00, 0x00, 0x00 },
555 { 0x01, 0x15, 0x16, 0x45, 0x46, 0x51, 0x52, 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xA6, 0xAA, 0xAB, 0x00, 0x00, 0x00 },
556 { 0x15, 0x45, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00 },
557 { 0x05, 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xAA, 0x00, 0x00, 0x00, 0x00 },
558 { 0x05, 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
559 { 0x05, 0x15, 0x16, 0x45, 0x46, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x96, 0x9A, 0xAA, 0xAB, 0x00, 0x00, 0x00, 0x00, 0x00 },
560 { 0x04, 0x05, 0x14, 0x15, 0x44, 0x45, 0x54, 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00 },
561 { 0x05, 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
562 { 0x05, 0x15, 0x45, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x9A, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
563 { 0x05, 0x15, 0x16, 0x45, 0x46, 0x55, 0x56, 0x59, 0x5A, 0x5B, 0x6A, 0x9A, 0xAA, 0xAB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
564 { 0x04, 0x15, 0x19, 0x45, 0x49, 0x54, 0x55, 0x58, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xA9, 0xAA, 0xAE, 0x00, 0x00, 0x00 },
565 { 0x05, 0x15, 0x19, 0x45, 0x49, 0x55, 0x56, 0x59, 0x5A, 0x69, 0x6A, 0x99, 0x9A, 0xAA, 0xAE, 0x00, 0x00, 0x00, 0x00, 0x00 },
566 { 0x05, 0x15, 0x19, 0x45, 0x49, 0x55, 0x56, 0x59, 0x5A, 0x5E, 0x6A, 0x9A, 0xAA, 0xAE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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689 { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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691 { 0x45, 0x46, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9B, 0xAA, 0xAB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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697 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
698 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
699 { 0x51, 0x52, 0x55, 0x56, 0x66, 0x95, 0x96, 0x9A, 0xA6, 0xA7, 0xAA, 0xAB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
700 { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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702 { 0x45, 0x51, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xEA, 0x00 },
703 { 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0xAB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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705 { 0x45, 0x54, 0x55, 0x56, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xEA, 0x00 },
706 { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
707 { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x66, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xAA, 0xAB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
708 { 0x54, 0x55, 0x58, 0x59, 0x69, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xAD, 0xAE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
709 { 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xAE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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712 { 0x50, 0x51, 0x54, 0x55, 0x65, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
713 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
714 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
715 { 0x51, 0x52, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA7, 0xAA, 0xAB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
716 { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
717 { 0x51, 0x54, 0x55, 0x56, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0x00 },
718 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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720 { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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725 { 0x54, 0x55, 0x59, 0x5A, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xAE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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727 { 0x55, 0x56, 0x59, 0x5A, 0x66, 0x69, 0x6A, 0x96, 0x99, 0x9A, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE, 0xAF, 0x00, 0x00, 0x00, 0x00 },
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729 { 0x51, 0x55, 0x61, 0x65, 0x66, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xB6, 0xBA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
730 { 0x51, 0x55, 0x56, 0x61, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xAA, 0xB6, 0xBA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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733 { 0x55, 0x65, 0x66, 0x69, 0x6A, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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735 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x6A, 0x96, 0xA5, 0xA6, 0xAA, 0xAB, 0xBA, 0xBB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
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737 { 0x54, 0x55, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
738 { 0x55, 0x56, 0x59, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
739 { 0x55, 0x56, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x96, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xBA, 0xBB, 0x00, 0x00, 0x00, 0x00 },
740 { 0x54, 0x55, 0x59, 0x65, 0x69, 0x6A, 0x99, 0xA5, 0xA9, 0xAA, 0xAD, 0xAE, 0xB9, 0xBA, 0xBE, 0x00, 0x00, 0x00, 0x00, 0x00 },
741 { 0x54, 0x55, 0x59, 0x65, 0x69, 0x6A, 0x99, 0xA5, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
742 { 0x55, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xBA, 0xBE, 0x00, 0x00, 0x00, 0x00 },
743 { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x9A, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE, 0xBA, 0x00, 0x00, 0x00, 0x00, 0x00 },
744 { 0x40, 0x45, 0x51, 0x54, 0x55, 0x85, 0x91, 0x94, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00 },
745 { 0x41, 0x45, 0x51, 0x55, 0x56, 0x85, 0x91, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00 },
746 { 0x41, 0x45, 0x51, 0x55, 0x56, 0x85, 0x91, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0xD6, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
747 { 0x41, 0x45, 0x51, 0x55, 0x56, 0x86, 0x92, 0x95, 0x96, 0x97, 0x9A, 0xA6, 0xAA, 0xAB, 0xD6, 0xEA, 0xEB, 0x00, 0x00, 0x00 },
748 { 0x44, 0x45, 0x54, 0x55, 0x59, 0x85, 0x94, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00 },
749 { 0x45, 0x55, 0x85, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xDA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
750 { 0x45, 0x55, 0x56, 0x85, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xAA, 0xDA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
751 { 0x45, 0x55, 0x56, 0x86, 0x95, 0x96, 0x9A, 0x9B, 0xA6, 0xAA, 0xAB, 0xDA, 0xEA, 0xEB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
752 { 0x44, 0x45, 0x54, 0x55, 0x59, 0x85, 0x94, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xD9, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
753 { 0x45, 0x55, 0x59, 0x85, 0x95, 0x96, 0x99, 0x9A, 0xA9, 0xAA, 0xDA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
754 { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x85, 0x95, 0x96, 0x99, 0x9A, 0xAA, 0xDA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
755 { 0x45, 0x55, 0x56, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9B, 0xA6, 0xAA, 0xAB, 0xDA, 0xEA, 0xEB, 0x00, 0x00, 0x00, 0x00, 0x00 },
756 { 0x44, 0x45, 0x54, 0x55, 0x59, 0x89, 0x95, 0x98, 0x99, 0x9A, 0x9D, 0xA9, 0xAA, 0xAE, 0xD9, 0xEA, 0xEE, 0x00, 0x00, 0x00 },
757 { 0x45, 0x55, 0x59, 0x89, 0x95, 0x99, 0x9A, 0x9E, 0xA9, 0xAA, 0xAE, 0xDA, 0xEA, 0xEE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
758 { 0x45, 0x55, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9E, 0xA9, 0xAA, 0xAE, 0xDA, 0xEA, 0xEE, 0x00, 0x00, 0x00, 0x00, 0x00 },
759 { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0x9B, 0x9E, 0xAA, 0xAB, 0xAE, 0xDA, 0xEA, 0xEF, 0x00, 0x00, 0x00 },
760 { 0x50, 0x51, 0x54, 0x55, 0x65, 0x91, 0x94, 0x95, 0x96, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00 },
761 { 0x51, 0x55, 0x91, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xE6, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
762 { 0x51, 0x55, 0x56, 0x91, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xAA, 0xE6, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
763 { 0x51, 0x55, 0x56, 0x92, 0x95, 0x96, 0x9A, 0xA6, 0xA7, 0xAA, 0xAB, 0xE6, 0xEA, 0xEB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
764 { 0x54, 0x55, 0x94, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xE9, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
765 { 0x55, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
766 { 0x55, 0x56, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
767 { 0x55, 0x56, 0x95, 0x96, 0x9A, 0xA6, 0xAA, 0xAB, 0xEA, 0xEB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
768 { 0x54, 0x55, 0x59, 0x94, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xE9, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
769 { 0x55, 0x59, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
770 { 0x45, 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
771 { 0x45, 0x55, 0x56, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xAA, 0xAB, 0xEA, 0xEB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
772 { 0x54, 0x55, 0x59, 0x95, 0x98, 0x99, 0x9A, 0xA9, 0xAA, 0xAD, 0xAE, 0xE9, 0xEA, 0xEE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
773 { 0x55, 0x59, 0x95, 0x99, 0x9A, 0xA9, 0xAA, 0xAE, 0xEA, 0xEE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
774 { 0x45, 0x55, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xA9, 0xAA, 0xAE, 0xEA, 0xEE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
775 { 0x55, 0x56, 0x59, 0x5A, 0x95, 0x96, 0x99, 0x9A, 0xAA, 0xAB, 0xAE, 0xEA, 0xEF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
776 { 0x50, 0x51, 0x54, 0x55, 0x65, 0x91, 0x94, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xE5, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
777 { 0x51, 0x55, 0x65, 0x91, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0xE6, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
778 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x91, 0x95, 0x96, 0xA5, 0xA6, 0xAA, 0xE6, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
779 { 0x51, 0x55, 0x56, 0x66, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xA7, 0xAA, 0xAB, 0xE6, 0xEA, 0xEB, 0x00, 0x00, 0x00, 0x00, 0x00 },
780 { 0x54, 0x55, 0x65, 0x94, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xE9, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
781 { 0x55, 0x65, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
782 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
783 { 0x51, 0x55, 0x56, 0x66, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xAA, 0xAB, 0xEA, 0xEB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
784 { 0x54, 0x55, 0x59, 0x65, 0x69, 0x94, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0xE9, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
785 { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
786 { 0x55, 0x56, 0x59, 0x65, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
787 { 0x55, 0x56, 0x5A, 0x66, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xEA, 0xEB, 0x00, 0x00, 0x00, 0x00 },
788 { 0x54, 0x55, 0x59, 0x69, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xAD, 0xAE, 0xE9, 0xEA, 0xEE, 0x00, 0x00, 0x00, 0x00, 0x00 },
789 { 0x54, 0x55, 0x59, 0x69, 0x95, 0x99, 0x9A, 0xA5, 0xA9, 0xAA, 0xAE, 0xEA, 0xEE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
790 { 0x55, 0x59, 0x5A, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xEA, 0xEE, 0x00, 0x00, 0x00, 0x00 },
791 { 0x55, 0x56, 0x59, 0x5A, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00 },
792 { 0x50, 0x51, 0x54, 0x55, 0x65, 0x95, 0xA1, 0xA4, 0xA5, 0xA6, 0xA9, 0xAA, 0xB5, 0xBA, 0xE5, 0xEA, 0xFA, 0x00, 0x00, 0x00 },
793 { 0x51, 0x55, 0x65, 0x95, 0xA1, 0xA5, 0xA6, 0xA9, 0xAA, 0xB6, 0xBA, 0xE6, 0xEA, 0xFA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
794 { 0x51, 0x55, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0xB6, 0xBA, 0xE6, 0xEA, 0xFA, 0x00, 0x00, 0x00, 0x00, 0x00 },
795 { 0x51, 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA7, 0xAA, 0xAB, 0xB6, 0xBA, 0xE6, 0xEA, 0xFB, 0x00, 0x00, 0x00 },
796 { 0x54, 0x55, 0x65, 0x95, 0xA4, 0xA5, 0xA6, 0xA9, 0xAA, 0xB9, 0xBA, 0xE9, 0xEA, 0xFA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
797 { 0x55, 0x65, 0x95, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0xFA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
798 { 0x51, 0x55, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0xFA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
799 { 0x55, 0x56, 0x65, 0x66, 0x95, 0x96, 0xA5, 0xA6, 0xAA, 0xAB, 0xBA, 0xEA, 0xFB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
800 { 0x54, 0x55, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xB9, 0xBA, 0xE9, 0xEA, 0xFA, 0x00, 0x00, 0x00, 0x00, 0x00 },
801 { 0x54, 0x55, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0xFA, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
802 { 0x55, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xBA, 0xEA, 0xFA, 0x00, 0x00, 0x00, 0x00 },
803 { 0x55, 0x56, 0x65, 0x66, 0x6A, 0x95, 0x96, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xBA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00 },
804 { 0x54, 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0xAD, 0xAE, 0xB9, 0xBA, 0xE9, 0xEA, 0xFE, 0x00, 0x00, 0x00 },
805 { 0x55, 0x59, 0x65, 0x69, 0x95, 0x99, 0xA5, 0xA9, 0xAA, 0xAE, 0xBA, 0xEA, 0xFE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
806 { 0x55, 0x59, 0x65, 0x69, 0x6A, 0x95, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAE, 0xBA, 0xEA, 0x00, 0x00, 0x00, 0x00, 0x00 },
807 { 0x55, 0x56, 0x59, 0x5A, 0x65, 0x66, 0x69, 0x6A, 0x95, 0x96, 0x99, 0x9A, 0xA5, 0xA6, 0xA9, 0xAA, 0xAB, 0xAE, 0xBA, 0xEA },
808 // clang-format on
809 };
810
811 LatticePoint4D latticePoints[256];
812 for (int i = 0; i < 256; i++) {
813 int cx = ((i >> 0) & 3) - 1;
814 int cy = ((i >> 2) & 3) - 1;
815 int cz = ((i >> 4) & 3) - 1;
816 int cw = ((i >> 6) & 3) - 1;
817 latticePoints[i] = { cx, cy, cz, cw };
818 }
819 for (unsigned int i = 0; i < 256; i++) {
820 LOOKUP_4D_SIZE[i] = lookup4DPregenSize[i];
821 for (unsigned char j = 0; j < lookup4DPregenSize[i]; j++) {
822 LOOKUP_4D[i][j] = latticePoints[lookup4DPregen[i][j]];
823 }
824 }
825}
826
827void OpenSimplex2S::initGradients()
828{
829 static const int grad2_size = 24;
830 Grad2 grad2[grad2_size] {
831 { 0.130526192220052, 0.99144486137381 }, { 0.38268343236509, 0.923879532511287 },
832 { 0.608761429008721, 0.793353340291235 }, { 0.793353340291235, 0.608761429008721 },
833 { 0.923879532511287, 0.38268343236509 }, { 0.99144486137381, 0.130526192220051 },
834 { 0.99144486137381, -0.130526192220051 }, { 0.923879532511287, -0.38268343236509 },
835 { 0.793353340291235, -0.60876142900872 }, { 0.608761429008721, -0.793353340291235 },
836 { 0.38268343236509, -0.923879532511287 }, { 0.130526192220052, -0.99144486137381 },
837 { -0.130526192220052, -0.99144486137381 }, { -0.38268343236509, -0.923879532511287 },
838 { -0.608761429008721, -0.793353340291235 }, { -0.793353340291235, -0.608761429008721 },
839 { -0.923879532511287, -0.38268343236509 }, { -0.99144486137381, -0.130526192220052 },
840 { -0.99144486137381, 0.130526192220051 }, { -0.923879532511287, 0.38268343236509 },
841 { -0.793353340291235, 0.608761429008721 }, { -0.608761429008721, 0.793353340291235 },
842 { -0.38268343236509, 0.923879532511287 }, { -0.130526192220052, 0.99144486137381 },
843 };
844 for (int i = 0; i < grad2_size; i++) {
845 grad2[i].dx /= N2;
846 grad2[i].dy /= N2;
847 }
848 for (int i = 0; i < PSIZE; i++) {
849 GRADIENTS_2D[i] = grad2[i % grad2_size];
850 }
851
852 static const int grad3_size = 48;
853 Grad3 grad3[grad3_size] {
854 { -2.22474487139, -2.22474487139, -1.0 },
855 { -2.22474487139, -2.22474487139, 1.0 },
856 { -3.0862664687972017, -1.1721513422464978, 0.0 },
857 { -1.1721513422464978, -3.0862664687972017, 0.0 },
858 { -2.22474487139, -1.0, -2.22474487139 },
859 { -2.22474487139, 1.0, -2.22474487139 },
860 { -1.1721513422464978, 0.0, -3.0862664687972017 },
861 { -3.0862664687972017, 0.0, -1.1721513422464978 },
862 { -2.22474487139, -1.0, 2.22474487139 },
863 { -2.22474487139, 1.0, 2.22474487139 },
864 { -3.0862664687972017, 0.0, 1.1721513422464978 },
865 { -1.1721513422464978, 0.0, 3.0862664687972017 },
866 { -2.22474487139, 2.22474487139, -1.0 },
867 { -2.22474487139, 2.22474487139, 1.0 },
868 { -1.1721513422464978, 3.0862664687972017, 0.0 },
869 { -3.0862664687972017, 1.1721513422464978, 0.0 },
870 { -1.0, -2.22474487139, -2.22474487139 },
871 { 1.0, -2.22474487139, -2.22474487139 },
872 { 0.0, -3.0862664687972017, -1.1721513422464978 },
873 { 0.0, -1.1721513422464978, -3.0862664687972017 },
874 { -1.0, -2.22474487139, 2.22474487139 },
875 { 1.0, -2.22474487139, 2.22474487139 },
876 { 0.0, -1.1721513422464978, 3.0862664687972017 },
877 { 0.0, -3.0862664687972017, 1.1721513422464978 },
878 { -1.0, 2.22474487139, -2.22474487139 },
879 { 1.0, 2.22474487139, -2.22474487139 },
880 { 0.0, 1.1721513422464978, -3.0862664687972017 },
881 { 0.0, 3.0862664687972017, -1.1721513422464978 },
882 { -1.0, 2.22474487139, 2.22474487139 },
883 { 1.0, 2.22474487139, 2.22474487139 },
884 { 0.0, 3.0862664687972017, 1.1721513422464978 },
885 { 0.0, 1.1721513422464978, 3.0862664687972017 },
886 { 2.22474487139, -2.22474487139, -1.0 },
887 { 2.22474487139, -2.22474487139, 1.0 },
888 { 1.1721513422464978, -3.0862664687972017, 0.0 },
889 { 3.0862664687972017, -1.1721513422464978, 0.0 },
890 { 2.22474487139, -1.0, -2.22474487139 },
891 { 2.22474487139, 1.0, -2.22474487139 },
892 { 3.0862664687972017, 0.0, -1.1721513422464978 },
893 { 1.1721513422464978, 0.0, -3.0862664687972017 },
894 { 2.22474487139, -1.0, 2.22474487139 },
895 { 2.22474487139, 1.0, 2.22474487139 },
896 { 1.1721513422464978, 0.0, 3.0862664687972017 },
897 { 3.0862664687972017, 0.0, 1.1721513422464978 },
898 { 2.22474487139, 2.22474487139, -1.0 },
899 { 2.22474487139, 2.22474487139, 1.0 },
900 { 3.0862664687972017, 1.1721513422464978, 0.0 },
901 { 1.1721513422464978, 3.0862664687972017, 0.0 },
902 };
903 for (int i = 0; i < grad3_size; i++) {
904 grad3[i].dx /= N3;
905 grad3[i].dy /= N3;
906 grad3[i].dz /= N3;
907 }
908 for (int i = 0; i < PSIZE; i++) {
909 GRADIENTS_3D[i] = grad3[i % grad3_size];
910 }
911
912 static const int grad4_size = 160;
913 Grad4 grad4[grad4_size] {
914 { -0.753341017856078, -0.37968289875261624, -0.37968289875261624, -0.37968289875261624 },
915 { -0.7821684431180708, -0.4321472685365301, -0.4321472685365301, 0.12128480194602098 },
916 { -0.7821684431180708, -0.4321472685365301, 0.12128480194602098, -0.4321472685365301 },
917 { -0.7821684431180708, 0.12128480194602098, -0.4321472685365301, -0.4321472685365301 },
918 { -0.8586508742123365, -0.508629699630796, 0.044802370851755174, 0.044802370851755174 },
919 { -0.8586508742123365, 0.044802370851755174, -0.508629699630796, 0.044802370851755174 },
920 { -0.8586508742123365, 0.044802370851755174, 0.044802370851755174, -0.508629699630796 },
921 { -0.9982828964265062, -0.03381941603233842, -0.03381941603233842, -0.03381941603233842 },
922 { -0.37968289875261624, -0.753341017856078, -0.37968289875261624, -0.37968289875261624 },
923 { -0.4321472685365301, -0.7821684431180708, -0.4321472685365301, 0.12128480194602098 },
924 { -0.4321472685365301, -0.7821684431180708, 0.12128480194602098, -0.4321472685365301 },
925 { 0.12128480194602098, -0.7821684431180708, -0.4321472685365301, -0.4321472685365301 },
926 { -0.508629699630796, -0.8586508742123365, 0.044802370851755174, 0.044802370851755174 },
927 { 0.044802370851755174, -0.8586508742123365, -0.508629699630796, 0.044802370851755174 },
928 { 0.044802370851755174, -0.8586508742123365, 0.044802370851755174, -0.508629699630796 },
929 { -0.03381941603233842, -0.9982828964265062, -0.03381941603233842, -0.03381941603233842 },
930 { -0.37968289875261624, -0.37968289875261624, -0.753341017856078, -0.37968289875261624 },
931 { -0.4321472685365301, -0.4321472685365301, -0.7821684431180708, 0.12128480194602098 },
932 { -0.4321472685365301, 0.12128480194602098, -0.7821684431180708, -0.4321472685365301 },
933 { 0.12128480194602098, -0.4321472685365301, -0.7821684431180708, -0.4321472685365301 },
934 { -0.508629699630796, 0.044802370851755174, -0.8586508742123365, 0.044802370851755174 },
935 { 0.044802370851755174, -0.508629699630796, -0.8586508742123365, 0.044802370851755174 },
936 { 0.044802370851755174, 0.044802370851755174, -0.8586508742123365, -0.508629699630796 },
937 { -0.03381941603233842, -0.03381941603233842, -0.9982828964265062, -0.03381941603233842 },
938 { -0.37968289875261624, -0.37968289875261624, -0.37968289875261624, -0.753341017856078 },
939 { -0.4321472685365301, -0.4321472685365301, 0.12128480194602098, -0.7821684431180708 },
940 { -0.4321472685365301, 0.12128480194602098, -0.4321472685365301, -0.7821684431180708 },
941 { 0.12128480194602098, -0.4321472685365301, -0.4321472685365301, -0.7821684431180708 },
942 { -0.508629699630796, 0.044802370851755174, 0.044802370851755174, -0.8586508742123365 },
943 { 0.044802370851755174, -0.508629699630796, 0.044802370851755174, -0.8586508742123365 },
944 { 0.044802370851755174, 0.044802370851755174, -0.508629699630796, -0.8586508742123365 },
945 { -0.03381941603233842, -0.03381941603233842, -0.03381941603233842, -0.9982828964265062 },
946 { -0.6740059517812944, -0.3239847771997537, -0.3239847771997537, 0.5794684678643381 },
947 { -0.7504883828755602, -0.4004672082940195, 0.15296486218853164, 0.5029860367700724 },
948 { -0.7504883828755602, 0.15296486218853164, -0.4004672082940195, 0.5029860367700724 },
949 { -0.8828161875373585, 0.08164729285680945, 0.08164729285680945, 0.4553054119602712 },
950 { -0.4553054119602712, -0.08164729285680945, -0.08164729285680945, 0.8828161875373585 },
951 { -0.5029860367700724, -0.15296486218853164, 0.4004672082940195, 0.7504883828755602 },
952 { -0.5029860367700724, 0.4004672082940195, -0.15296486218853164, 0.7504883828755602 },
953 { -0.5794684678643381, 0.3239847771997537, 0.3239847771997537, 0.6740059517812944 },
954 { -0.3239847771997537, -0.6740059517812944, -0.3239847771997537, 0.5794684678643381 },
955 { -0.4004672082940195, -0.7504883828755602, 0.15296486218853164, 0.5029860367700724 },
956 { 0.15296486218853164, -0.7504883828755602, -0.4004672082940195, 0.5029860367700724 },
957 { 0.08164729285680945, -0.8828161875373585, 0.08164729285680945, 0.4553054119602712 },
958 { -0.08164729285680945, -0.4553054119602712, -0.08164729285680945, 0.8828161875373585 },
959 { -0.15296486218853164, -0.5029860367700724, 0.4004672082940195, 0.7504883828755602 },
960 { 0.4004672082940195, -0.5029860367700724, -0.15296486218853164, 0.7504883828755602 },
961 { 0.3239847771997537, -0.5794684678643381, 0.3239847771997537, 0.6740059517812944 },
962 { -0.3239847771997537, -0.3239847771997537, -0.6740059517812944, 0.5794684678643381 },
963 { -0.4004672082940195, 0.15296486218853164, -0.7504883828755602, 0.5029860367700724 },
964 { 0.15296486218853164, -0.4004672082940195, -0.7504883828755602, 0.5029860367700724 },
965 { 0.08164729285680945, 0.08164729285680945, -0.8828161875373585, 0.4553054119602712 },
966 { -0.08164729285680945, -0.08164729285680945, -0.4553054119602712, 0.8828161875373585 },
967 { -0.15296486218853164, 0.4004672082940195, -0.5029860367700724, 0.7504883828755602 },
968 { 0.4004672082940195, -0.15296486218853164, -0.5029860367700724, 0.7504883828755602 },
969 { 0.3239847771997537, 0.3239847771997537, -0.5794684678643381, 0.6740059517812944 },
970 { -0.6740059517812944, -0.3239847771997537, 0.5794684678643381, -0.3239847771997537 },
971 { -0.7504883828755602, -0.4004672082940195, 0.5029860367700724, 0.15296486218853164 },
972 { -0.7504883828755602, 0.15296486218853164, 0.5029860367700724, -0.4004672082940195 },
973 { -0.8828161875373585, 0.08164729285680945, 0.4553054119602712, 0.08164729285680945 },
974 { -0.4553054119602712, -0.08164729285680945, 0.8828161875373585, -0.08164729285680945 },
975 { -0.5029860367700724, -0.15296486218853164, 0.7504883828755602, 0.4004672082940195 },
976 { -0.5029860367700724, 0.4004672082940195, 0.7504883828755602, -0.15296486218853164 },
977 { -0.5794684678643381, 0.3239847771997537, 0.6740059517812944, 0.3239847771997537 },
978 { -0.3239847771997537, -0.6740059517812944, 0.5794684678643381, -0.3239847771997537 },
979 { -0.4004672082940195, -0.7504883828755602, 0.5029860367700724, 0.15296486218853164 },
980 { 0.15296486218853164, -0.7504883828755602, 0.5029860367700724, -0.4004672082940195 },
981 { 0.08164729285680945, -0.8828161875373585, 0.4553054119602712, 0.08164729285680945 },
982 { -0.08164729285680945, -0.4553054119602712, 0.8828161875373585, -0.08164729285680945 },
983 { -0.15296486218853164, -0.5029860367700724, 0.7504883828755602, 0.4004672082940195 },
984 { 0.4004672082940195, -0.5029860367700724, 0.7504883828755602, -0.15296486218853164 },
985 { 0.3239847771997537, -0.5794684678643381, 0.6740059517812944, 0.3239847771997537 },
986 { -0.3239847771997537, -0.3239847771997537, 0.5794684678643381, -0.6740059517812944 },
987 { -0.4004672082940195, 0.15296486218853164, 0.5029860367700724, -0.7504883828755602 },
988 { 0.15296486218853164, -0.4004672082940195, 0.5029860367700724, -0.7504883828755602 },
989 { 0.08164729285680945, 0.08164729285680945, 0.4553054119602712, -0.8828161875373585 },
990 { -0.08164729285680945, -0.08164729285680945, 0.8828161875373585, -0.4553054119602712 },
991 { -0.15296486218853164, 0.4004672082940195, 0.7504883828755602, -0.5029860367700724 },
992 { 0.4004672082940195, -0.15296486218853164, 0.7504883828755602, -0.5029860367700724 },
993 { 0.3239847771997537, 0.3239847771997537, 0.6740059517812944, -0.5794684678643381 },
994 { -0.6740059517812944, 0.5794684678643381, -0.3239847771997537, -0.3239847771997537 },
995 { -0.7504883828755602, 0.5029860367700724, -0.4004672082940195, 0.15296486218853164 },
996 { -0.7504883828755602, 0.5029860367700724, 0.15296486218853164, -0.4004672082940195 },
997 { -0.8828161875373585, 0.4553054119602712, 0.08164729285680945, 0.08164729285680945 },
998 { -0.4553054119602712, 0.8828161875373585, -0.08164729285680945, -0.08164729285680945 },
999 { -0.5029860367700724, 0.7504883828755602, -0.15296486218853164, 0.4004672082940195 },
1000 { -0.5029860367700724, 0.7504883828755602, 0.4004672082940195, -0.15296486218853164 },
1001 { -0.5794684678643381, 0.6740059517812944, 0.3239847771997537, 0.3239847771997537 },
1002 { -0.3239847771997537, 0.5794684678643381, -0.6740059517812944, -0.3239847771997537 },
1003 { -0.4004672082940195, 0.5029860367700724, -0.7504883828755602, 0.15296486218853164 },
1004 { 0.15296486218853164, 0.5029860367700724, -0.7504883828755602, -0.4004672082940195 },
1005 { 0.08164729285680945, 0.4553054119602712, -0.8828161875373585, 0.08164729285680945 },
1006 { -0.08164729285680945, 0.8828161875373585, -0.4553054119602712, -0.08164729285680945 },
1007 { -0.15296486218853164, 0.7504883828755602, -0.5029860367700724, 0.4004672082940195 },
1008 { 0.4004672082940195, 0.7504883828755602, -0.5029860367700724, -0.15296486218853164 },
1009 { 0.3239847771997537, 0.6740059517812944, -0.5794684678643381, 0.3239847771997537 },
1010 { -0.3239847771997537, 0.5794684678643381, -0.3239847771997537, -0.6740059517812944 },
1011 { -0.4004672082940195, 0.5029860367700724, 0.15296486218853164, -0.7504883828755602 },
1012 { 0.15296486218853164, 0.5029860367700724, -0.4004672082940195, -0.7504883828755602 },
1013 { 0.08164729285680945, 0.4553054119602712, 0.08164729285680945, -0.8828161875373585 },
1014 { -0.08164729285680945, 0.8828161875373585, -0.08164729285680945, -0.4553054119602712 },
1015 { -0.15296486218853164, 0.7504883828755602, 0.4004672082940195, -0.5029860367700724 },
1016 { 0.4004672082940195, 0.7504883828755602, -0.15296486218853164, -0.5029860367700724 },
1017 { 0.3239847771997537, 0.6740059517812944, 0.3239847771997537, -0.5794684678643381 },
1018 { 0.5794684678643381, -0.6740059517812944, -0.3239847771997537, -0.3239847771997537 },
1019 { 0.5029860367700724, -0.7504883828755602, -0.4004672082940195, 0.15296486218853164 },
1020 { 0.5029860367700724, -0.7504883828755602, 0.15296486218853164, -0.4004672082940195 },
1021 { 0.4553054119602712, -0.8828161875373585, 0.08164729285680945, 0.08164729285680945 },
1022 { 0.8828161875373585, -0.4553054119602712, -0.08164729285680945, -0.08164729285680945 },
1023 { 0.7504883828755602, -0.5029860367700724, -0.15296486218853164, 0.4004672082940195 },
1024 { 0.7504883828755602, -0.5029860367700724, 0.4004672082940195, -0.15296486218853164 },
1025 { 0.6740059517812944, -0.5794684678643381, 0.3239847771997537, 0.3239847771997537 },
1026 { 0.5794684678643381, -0.3239847771997537, -0.6740059517812944, -0.3239847771997537 },
1027 { 0.5029860367700724, -0.4004672082940195, -0.7504883828755602, 0.15296486218853164 },
1028 { 0.5029860367700724, 0.15296486218853164, -0.7504883828755602, -0.4004672082940195 },
1029 { 0.4553054119602712, 0.08164729285680945, -0.8828161875373585, 0.08164729285680945 },
1030 { 0.8828161875373585, -0.08164729285680945, -0.4553054119602712, -0.08164729285680945 },
1031 { 0.7504883828755602, -0.15296486218853164, -0.5029860367700724, 0.4004672082940195 },
1032 { 0.7504883828755602, 0.4004672082940195, -0.5029860367700724, -0.15296486218853164 },
1033 { 0.6740059517812944, 0.3239847771997537, -0.5794684678643381, 0.3239847771997537 },
1034 { 0.5794684678643381, -0.3239847771997537, -0.3239847771997537, -0.6740059517812944 },
1035 { 0.5029860367700724, -0.4004672082940195, 0.15296486218853164, -0.7504883828755602 },
1036 { 0.5029860367700724, 0.15296486218853164, -0.4004672082940195, -0.7504883828755602 },
1037 { 0.4553054119602712, 0.08164729285680945, 0.08164729285680945, -0.8828161875373585 },
1038 { 0.8828161875373585, -0.08164729285680945, -0.08164729285680945, -0.4553054119602712 },
1039 { 0.7504883828755602, -0.15296486218853164, 0.4004672082940195, -0.5029860367700724 },
1040 { 0.7504883828755602, 0.4004672082940195, -0.15296486218853164, -0.5029860367700724 },
1041 { 0.6740059517812944, 0.3239847771997537, 0.3239847771997537, -0.5794684678643381 },
1042 { 0.03381941603233842, 0.03381941603233842, 0.03381941603233842, 0.9982828964265062 },
1043 { -0.044802370851755174, -0.044802370851755174, 0.508629699630796, 0.8586508742123365 },
1044 { -0.044802370851755174, 0.508629699630796, -0.044802370851755174, 0.8586508742123365 },
1045 { -0.12128480194602098, 0.4321472685365301, 0.4321472685365301, 0.7821684431180708 },
1046 { 0.508629699630796, -0.044802370851755174, -0.044802370851755174, 0.8586508742123365 },
1047 { 0.4321472685365301, -0.12128480194602098, 0.4321472685365301, 0.7821684431180708 },
1048 { 0.4321472685365301, 0.4321472685365301, -0.12128480194602098, 0.7821684431180708 },
1049 { 0.37968289875261624, 0.37968289875261624, 0.37968289875261624, 0.753341017856078 },
1050 { 0.03381941603233842, 0.03381941603233842, 0.9982828964265062, 0.03381941603233842 },
1051 { -0.044802370851755174, 0.044802370851755174, 0.8586508742123365, 0.508629699630796 },
1052 { -0.044802370851755174, 0.508629699630796, 0.8586508742123365, -0.044802370851755174 },
1053 { -0.12128480194602098, 0.4321472685365301, 0.7821684431180708, 0.4321472685365301 },
1054 { 0.508629699630796, -0.044802370851755174, 0.8586508742123365, -0.044802370851755174 },
1055 { 0.4321472685365301, -0.12128480194602098, 0.7821684431180708, 0.4321472685365301 },
1056 { 0.4321472685365301, 0.4321472685365301, 0.7821684431180708, -0.12128480194602098 },
1057 { 0.37968289875261624, 0.37968289875261624, 0.753341017856078, 0.37968289875261624 },
1058 { 0.03381941603233842, 0.9982828964265062, 0.03381941603233842, 0.03381941603233842 },
1059 { -0.044802370851755174, 0.8586508742123365, -0.044802370851755174, 0.508629699630796 },
1060 { -0.044802370851755174, 0.8586508742123365, 0.508629699630796, -0.044802370851755174 },
1061 { -0.12128480194602098, 0.7821684431180708, 0.4321472685365301, 0.4321472685365301 },
1062 { 0.508629699630796, 0.8586508742123365, -0.044802370851755174, -0.044802370851755174 },
1063 { 0.4321472685365301, 0.7821684431180708, -0.12128480194602098, 0.4321472685365301 },
1064 { 0.4321472685365301, 0.7821684431180708, 0.4321472685365301, -0.12128480194602098 },
1065 { 0.37968289875261624, 0.753341017856078, 0.37968289875261624, 0.37968289875261624 },
1066 { 0.9982828964265062, 0.03381941603233842, 0.03381941603233842, 0.03381941603233842 },
1067 { 0.8586508742123365, -0.044802370851755174, -0.044802370851755174, 0.508629699630796 },
1068 { 0.8586508742123365, -0.044802370851755174, 0.508629699630796, -0.044802370851755174 },
1069 { 0.7821684431180708, -0.12128480194602098, 0.4321472685365301, 0.4321472685365301 },
1070 { 0.8586508742123365, 0.508629699630796, -0.044802370851755174, -0.044802370851755174 },
1071 { 0.7821684431180708, 0.4321472685365301, -0.12128480194602098, 0.4321472685365301 },
1072 { 0.7821684431180708, 0.4321472685365301, 0.4321472685365301, -0.12128480194602098 },
1073 { 0.753341017856078, 0.37968289875261624, 0.37968289875261624, 0.37968289875261624 },
1074 };
1075 for (int i = 0; i < grad4_size; i++) {
1076 grad4[i].dx /= N4;
1077 grad4[i].dy /= N4;
1078 grad4[i].dz /= N4;
1079 grad4[i].dw /= N4;
1080 }
1081 for (int i = 0; i < PSIZE; i++) {
1082 GRADIENTS_4D[i] = grad4[i % grad4_size];
1083 }
1084}
OpenSimplex2S::noise3_XYBeforeZ
double noise3_XYBeforeZ(double x, double y, double z)
Definition OpenSimplex2S.cpp:161
OpenSimplex2S::GRADIENTS_2D
static Grad2 GRADIENTS_2D[PSIZE]
Definition OpenSimplex2S.hpp:23
OpenSimplex2S::noise2_Base
double noise2_Base(double xs, double ys)
Definition OpenSimplex2S.cpp:91
OpenSimplex2S::noise4_XZBeforeYW
double noise4_XZBeforeYW(double x, double y, double z, double w)
Definition OpenSimplex2S.cpp:283
OpenSimplex2S::noise3_BCC
double noise3_BCC(double xr, double yr, double zr)
Definition OpenSimplex2S.cpp:205
OpenSimplex2S::noise2_XBeforeY
double noise2_XBeforeY(double x, double y)
Definition OpenSimplex2S.cpp:78
OpenSimplex2S::noise3_XZBeforeY
double noise3_XZBeforeY(double x, double y, double z)
Definition OpenSimplex2S.cpp:184
OpenSimplex2S::noise3_Classic
double noise3_Classic(double x, double y, double z)
Definition OpenSimplex2S.cpp:139
OpenSimplex2S::noise2
double noise2(double x, double y)
Definition OpenSimplex2S.cpp:63
OpenSimplex2S::noise4_Classic
double noise4_Classic(double x, double y, double z, double w)
Definition OpenSimplex2S.cpp:250
OpenSimplex2S::noise4_XYZBeforeW
double noise4_XYZBeforeW(double x, double y, double z, double w)
Definition OpenSimplex2S.cpp:300
OpenSimplex2S::noise4_Base
double noise4_Base(double xs, double ys, double zs, double ws)
Definition OpenSimplex2S.cpp:319
OpenSimplex2S::noise4_XYBeforeZW
double noise4_XYBeforeZW(double x, double y, double z, double w)
Definition OpenSimplex2S.cpp:267