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authorRĂ©mi Verschelde <remi@verschelde.fr>2022-03-28 21:59:18 +0200
committerGitHub <noreply@github.com>2022-03-28 21:59:18 +0200
commit8c12dfe09959be3547d8e1bccd601741f81c4d3e (patch)
treefbc623d5c6bde2975c5f636ac941add6b7308440 /thirdparty
parent324215c485dfeb63eab320038e9a9ca523d08ea7 (diff)
parent2a55f10e8be2d3a9ffcbb57ab6dd278419c64b37 (diff)
Merge pull request #56718 from Geometror/noise-overhaul
Diffstat (limited to 'thirdparty')
-rw-r--r--thirdparty/README.md8
-rw-r--r--thirdparty/misc/open-simplex-noise-LICENSE25
-rw-r--r--thirdparty/misc/open-simplex-noise-no-allocate.patch133
-rw-r--r--thirdparty/misc/open-simplex-noise.c2255
-rw-r--r--thirdparty/misc/open-simplex-noise.h58
-rw-r--r--thirdparty/noise/FastNoise-LICENSE22
-rw-r--r--thirdparty/noise/FastNoiseLite.h2589
-rw-r--r--thirdparty/noise/patches/FastNoiseLite.patch18
8 files changed, 2633 insertions, 2475 deletions
diff --git a/thirdparty/README.md b/thirdparty/README.md
index ced1165d69..f2f51683c1 100644
--- a/thirdparty/README.md
+++ b/thirdparty/README.md
@@ -424,10 +424,10 @@ Collection of single-file libraries used in Godot components.
* Upstream: https://archive.blender.org/wiki/index.php/Dev:Shading/Tangent_Space_Normal_Maps/
* Version: 1.0 (2011)
* License: zlib
-- `open-simplex-noise.{c,h}`
- * Upstream: https://github.com/smcameron/open-simplex-noise-in-c
- * Version: git (826f1dd1724e6fb3ff45f58e48c0fbae864c3403, 2020) + custom changes
- * License: Public Domain or Unlicense
+- `FastNoiseLite.h}`
+ * Upstream: https://github.com/Auburn/FastNoiseLite
+ * Version: git (6be3d6bf7fb408de341285f9ee8a29b67fd953f1, 2022) + custom changes
+ * License: MIT
- `pcg.{cpp,h}`
* Upstream: http://www.pcg-random.org
* Version: minimal C implementation, http://www.pcg-random.org/download.html
diff --git a/thirdparty/misc/open-simplex-noise-LICENSE b/thirdparty/misc/open-simplex-noise-LICENSE
deleted file mode 100644
index a84c395662..0000000000
--- a/thirdparty/misc/open-simplex-noise-LICENSE
+++ /dev/null
@@ -1,25 +0,0 @@
-This is free and unencumbered software released into the public domain.
-
-Anyone is free to copy, modify, publish, use, compile, sell, or
-distribute this software, either in source code form or as a compiled
-binary, for any purpose, commercial or non-commercial, and by any
-means.
-
-In jurisdictions that recognize copyright laws, the author or authors
-of this software dedicate any and all copyright interest in the
-software to the public domain. We make this dedication for the benefit
-of the public at large and to the detriment of our heirs and
-successors. We intend this dedication to be an overt act of
-relinquishment in perpetuity of all present and future rights to this
-software under copyright law.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
-EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
-MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
-IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR
-OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
-ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
-OTHER DEALINGS IN THE SOFTWARE.
-
-For more information, please refer to <http://unlicense.org>
-
diff --git a/thirdparty/misc/open-simplex-noise-no-allocate.patch b/thirdparty/misc/open-simplex-noise-no-allocate.patch
deleted file mode 100644
index fc3abe7d00..0000000000
--- a/thirdparty/misc/open-simplex-noise-no-allocate.patch
+++ /dev/null
@@ -1,133 +0,0 @@
-diff -u orig/open-simplex-noise.c misc/open-simplex-noise.c
---- orig/open-simplex-noise.c 2018-09-14 11:11:40.049810000 +0200
-+++ misc/open-simplex-noise.c 2018-09-14 11:09:39.726457000 +0200
-@@ -13,6 +13,11 @@
- * of any particular randomization library, so results
- * will be the same when ported to other languages.
- */
-+
-+// -- GODOT start --
-+// Modified to work without allocating memory, also removed some unused function.
-+// -- GODOT end --
-+
- #include <math.h>
- #include <stdlib.h>
- #include <stdint.h>
-@@ -34,11 +39,12 @@
-
- #define DEFAULT_SEED (0LL)
-
--struct osn_context {
-+// -- GODOT start --
-+/*struct osn_context {
- int16_t *perm;
- int16_t *permGradIndex3D;
--};
--
-+};*/
-+// -- GODOT end --
- #define ARRAYSIZE(x) (sizeof((x)) / sizeof((x)[0]))
-
- /*
-@@ -126,7 +132,9 @@
- int xi = (int) x;
- return x < xi ? xi - 1 : xi;
- }
--
-+
-+// -- GODOT start --
-+/*
- static int allocate_perm(struct osn_context *ctx, int nperm, int ngrad)
- {
- if (ctx->perm)
-@@ -154,18 +162,21 @@
- memcpy(ctx->perm, p, sizeof(*ctx->perm) * nelements);
-
- for (i = 0; i < 256; i++) {
-- /* Since 3D has 24 gradients, simple bitmask won't work, so precompute modulo array. */
-+ // Since 3D has 24 gradients, simple bitmask won't work, so precompute modulo array.
- ctx->permGradIndex3D[i] = (int16_t)((ctx->perm[i] % (ARRAYSIZE(gradients3D) / 3)) * 3);
- }
- return 0;
- }
-+*/
-+// -- GODOT end --
-
- /*
- * Initializes using a permutation array generated from a 64-bit seed.
- * Generates a proper permutation (i.e. doesn't merely perform N successive pair
- * swaps on a base array). Uses a simple 64-bit LCG.
- */
--int open_simplex_noise(int64_t seed, struct osn_context **ctx)
-+// -- GODOT start --
-+int open_simplex_noise(int64_t seed, struct osn_context *ctx)
- {
- int rc;
- int16_t source[256];
-@@ -174,20 +185,9 @@
- int16_t *permGradIndex3D;
- int r;
-
-- *ctx = (struct osn_context *) malloc(sizeof(**ctx));
-- if (!(*ctx))
-- return -ENOMEM;
-- (*ctx)->perm = NULL;
-- (*ctx)->permGradIndex3D = NULL;
--
-- rc = allocate_perm(*ctx, 256, 256);
-- if (rc) {
-- free(*ctx);
-- return rc;
-- }
--
-- perm = (*ctx)->perm;
-- permGradIndex3D = (*ctx)->permGradIndex3D;
-+ perm = ctx->perm;
-+ permGradIndex3D = ctx->permGradIndex3D;
-+// -- GODOT end --
-
- for (i = 0; i < 256; i++)
- source[i] = (int16_t) i;
-@@ -206,6 +206,8 @@
- return 0;
- }
-
-+// -- GODOT start --
-+/*
- void open_simplex_noise_free(struct osn_context *ctx)
- {
- if (!ctx)
-@@ -220,6 +222,8 @@
- }
- free(ctx);
- }
-+*/
-+// -- GODOT end --
-
- /* 2D OpenSimplex (Simplectic) Noise. */
- double open_simplex_noise2(struct osn_context *ctx, double x, double y)
-diff -u orig/open-simplex-noise.h misc/open-simplex-noise.h
---- orig/open-simplex-noise.h 2018-09-14 11:11:19.659807000 +0200
-+++ misc/open-simplex-noise.h 2018-09-14 11:10:05.006460000 +0200
-@@ -35,11 +35,18 @@
- extern "C" {
- #endif
-
--struct osn_context;
-+// -- GODOT start --
-+// Modified to work without allocating memory, also removed some unused function.
-
--int open_simplex_noise(int64_t seed, struct osn_context **ctx);
-+struct osn_context {
-+ int16_t perm[256];
-+ int16_t permGradIndex3D[256];
-+};
-+
-+int open_simplex_noise(int64_t seed, struct osn_context *ctx);
-+//int open_simplex_noise_init_perm(struct osn_context *ctx, int16_t p[], int nelements);
-+// -- GODOT end --
- void open_simplex_noise_free(struct osn_context *ctx);
--int open_simplex_noise_init_perm(struct osn_context *ctx, int16_t p[], int nelements);
- double open_simplex_noise2(struct osn_context *ctx, double x, double y);
- double open_simplex_noise3(struct osn_context *ctx, double x, double y, double z);
- double open_simplex_noise4(struct osn_context *ctx, double x, double y, double z, double w);
diff --git a/thirdparty/misc/open-simplex-noise.c b/thirdparty/misc/open-simplex-noise.c
deleted file mode 100644
index 44a072cad1..0000000000
--- a/thirdparty/misc/open-simplex-noise.c
+++ /dev/null
@@ -1,2255 +0,0 @@
-/*
- * OpenSimplex (Simplectic) Noise in C.
- * Ported by Stephen M. Cameron from Kurt Spencer's java implementation
- *
- * v1.1 (October 5, 2014)
- * - Added 2D and 4D implementations.
- * - Proper gradient sets for all dimensions, from a
- * dimensionally-generalizable scheme with an actual
- * rhyme and reason behind it.
- * - Removed default permutation array in favor of
- * default seed.
- * - Changed seed-based constructor to be independent
- * of any particular randomization library, so results
- * will be the same when ported to other languages.
- */
-
-// -- GODOT start --
-// Modified to work without allocating memory, also removed some unused function.
-// -- GODOT end --
-
-#include <math.h>
-#include <stdlib.h>
-#include <stdint.h>
-#include <string.h>
-#include <errno.h>
-
-#include "open-simplex-noise.h"
-
-#define STRETCH_CONSTANT_2D (-0.211324865405187) /* (1 / sqrt(2 + 1) - 1 ) / 2; */
-#define SQUISH_CONSTANT_2D (0.366025403784439) /* (sqrt(2 + 1) -1) / 2; */
-#define STRETCH_CONSTANT_3D (-1.0 / 6.0) /* (1 / sqrt(3 + 1) - 1) / 3; */
-#define SQUISH_CONSTANT_3D (1.0 / 3.0) /* (sqrt(3+1)-1)/3; */
-#define STRETCH_CONSTANT_4D (-0.138196601125011) /* (1 / sqrt(4 + 1) - 1) / 4; */
-#define SQUISH_CONSTANT_4D (0.309016994374947) /* (sqrt(4 + 1) - 1) / 4; */
-
-#define NORM_CONSTANT_2D (47.0)
-#define NORM_CONSTANT_3D (103.0)
-#define NORM_CONSTANT_4D (30.0)
-
-#define DEFAULT_SEED (0LL)
-
-// -- GODOT start --
-/*struct osn_context {
- int16_t *perm;
- int16_t *permGradIndex3D;
-};*/
-// -- GODOT end --
-#define ARRAYSIZE(x) (sizeof((x)) / sizeof((x)[0]))
-
-/*
- * Gradients for 2D. They approximate the directions to the
- * vertices of an octagon from the center.
- */
-static const int8_t gradients2D[] = {
- 5, 2, 2, 5,
- -5, 2, -2, 5,
- 5, -2, 2, -5,
- -5, -2, -2, -5,
-};
-
-/*
- * Gradients for 3D. They approximate the directions to the
- * vertices of a rhombicuboctahedron from the center, skewed so
- * that the triangular and square facets can be inscribed inside
- * circles of the same radius.
- */
-static const signed char gradients3D[] = {
- -11, 4, 4, -4, 11, 4, -4, 4, 11,
- 11, 4, 4, 4, 11, 4, 4, 4, 11,
- -11, -4, 4, -4, -11, 4, -4, -4, 11,
- 11, -4, 4, 4, -11, 4, 4, -4, 11,
- -11, 4, -4, -4, 11, -4, -4, 4, -11,
- 11, 4, -4, 4, 11, -4, 4, 4, -11,
- -11, -4, -4, -4, -11, -4, -4, -4, -11,
- 11, -4, -4, 4, -11, -4, 4, -4, -11,
-};
-
-/*
- * Gradients for 4D. They approximate the directions to the
- * vertices of a disprismatotesseractihexadecachoron from the center,
- * skewed so that the tetrahedral and cubic facets can be inscribed inside
- * spheres of the same radius.
- */
-static const signed char gradients4D[] = {
- 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3,
- -3, 1, 1, 1, -1, 3, 1, 1, -1, 1, 3, 1, -1, 1, 1, 3,
- 3, -1, 1, 1, 1, -3, 1, 1, 1, -1, 3, 1, 1, -1, 1, 3,
- -3, -1, 1, 1, -1, -3, 1, 1, -1, -1, 3, 1, -1, -1, 1, 3,
- 3, 1, -1, 1, 1, 3, -1, 1, 1, 1, -3, 1, 1, 1, -1, 3,
- -3, 1, -1, 1, -1, 3, -1, 1, -1, 1, -3, 1, -1, 1, -1, 3,
- 3, -1, -1, 1, 1, -3, -1, 1, 1, -1, -3, 1, 1, -1, -1, 3,
- -3, -1, -1, 1, -1, -3, -1, 1, -1, -1, -3, 1, -1, -1, -1, 3,
- 3, 1, 1, -1, 1, 3, 1, -1, 1, 1, 3, -1, 1, 1, 1, -3,
- -3, 1, 1, -1, -1, 3, 1, -1, -1, 1, 3, -1, -1, 1, 1, -3,
- 3, -1, 1, -1, 1, -3, 1, -1, 1, -1, 3, -1, 1, -1, 1, -3,
- -3, -1, 1, -1, -1, -3, 1, -1, -1, -1, 3, -1, -1, -1, 1, -3,
- 3, 1, -1, -1, 1, 3, -1, -1, 1, 1, -3, -1, 1, 1, -1, -3,
- -3, 1, -1, -1, -1, 3, -1, -1, -1, 1, -3, -1, -1, 1, -1, -3,
- 3, -1, -1, -1, 1, -3, -1, -1, 1, -1, -3, -1, 1, -1, -1, -3,
- -3, -1, -1, -1, -1, -3, -1, -1, -1, -1, -3, -1, -1, -1, -1, -3,
-};
-
-static double extrapolate2(const struct osn_context *ctx, int xsb, int ysb, double dx, double dy)
-{
- const int16_t *perm = ctx->perm;
- int index = perm[(perm[xsb & 0xFF] + ysb) & 0xFF] & 0x0E;
- return gradients2D[index] * dx
- + gradients2D[index + 1] * dy;
-}
-
-static double extrapolate3(const struct osn_context *ctx, int xsb, int ysb, int zsb, double dx, double dy, double dz)
-{
- const int16_t *perm = ctx->perm;
- const int16_t *permGradIndex3D = ctx->permGradIndex3D;
- int index = permGradIndex3D[(perm[(perm[xsb & 0xFF] + ysb) & 0xFF] + zsb) & 0xFF];
- return gradients3D[index] * dx
- + gradients3D[index + 1] * dy
- + gradients3D[index + 2] * dz;
-}
-
-static double extrapolate4(const struct osn_context *ctx, int xsb, int ysb, int zsb, int wsb, double dx, double dy, double dz, double dw)
-{
- const int16_t *perm = ctx->perm;
- int index = perm[(perm[(perm[(perm[xsb & 0xFF] + ysb) & 0xFF] + zsb) & 0xFF] + wsb) & 0xFF] & 0xFC;
- return gradients4D[index] * dx
- + gradients4D[index + 1] * dy
- + gradients4D[index + 2] * dz
- + gradients4D[index + 3] * dw;
-}
-
-static INLINE int fastFloor(double x) {
- int xi = (int) x;
- return x < xi ? xi - 1 : xi;
-}
-
-// -- GODOT start --
-/*
-static int allocate_perm(struct osn_context *ctx, int nperm, int ngrad)
-{
- if (ctx->perm)
- free(ctx->perm);
- if (ctx->permGradIndex3D)
- free(ctx->permGradIndex3D);
- ctx->perm = (int16_t *) malloc(sizeof(*ctx->perm) * nperm);
- if (!ctx->perm)
- return -ENOMEM;
- ctx->permGradIndex3D = (int16_t *) malloc(sizeof(*ctx->permGradIndex3D) * ngrad);
- if (!ctx->permGradIndex3D) {
- free(ctx->perm);
- return -ENOMEM;
- }
- return 0;
-}
-
-int open_simplex_noise_init_perm(struct osn_context *ctx, int16_t p[], int nelements)
-{
- int i, rc;
-
- rc = allocate_perm(ctx, nelements, 256);
- if (rc)
- return rc;
- memcpy(ctx->perm, p, sizeof(*ctx->perm) * nelements);
-
- for (i = 0; i < 256; i++) {
- // Since 3D has 24 gradients, simple bitmask won't work, so precompute modulo array.
- ctx->permGradIndex3D[i] = (int16_t)((ctx->perm[i] % (ARRAYSIZE(gradients3D) / 3)) * 3);
- }
- return 0;
-}
-*/
-// -- GODOT end --
-
-/*
- * Initializes using a permutation array generated from a 64-bit seed.
- * Generates a proper permutation (i.e. doesn't merely perform N successive pair
- * swaps on a base array). Uses a simple 64-bit LCG.
- */
-// -- GODOT start --
-int open_simplex_noise(int64_t seed, struct osn_context *ctx)
-{
- int rc;
- int16_t source[256];
- int i;
- int16_t *perm;
- int16_t *permGradIndex3D;
- int r;
-
- perm = ctx->perm;
- permGradIndex3D = ctx->permGradIndex3D;
-// -- GODOT end --
-
- uint64_t seedU = seed;
- for (i = 0; i < 256; i++)
- source[i] = (int16_t) i;
- seedU = seedU * 6364136223846793005ULL + 1442695040888963407ULL;
- seedU = seedU * 6364136223846793005ULL + 1442695040888963407ULL;
- seedU = seedU * 6364136223846793005ULL + 1442695040888963407ULL;
- for (i = 255; i >= 0; i--) {
- seedU = seedU * 6364136223846793005ULL + 1442695040888963407ULL;
- r = (int)((seedU + 31) % (i + 1));
- if (r < 0)
- r += (i + 1);
- perm[i] = source[r];
- permGradIndex3D[i] = (short)((perm[i] % (ARRAYSIZE(gradients3D) / 3)) * 3);
- source[r] = source[i];
- }
- return 0;
-}
-
-// -- GODOT start --
-/*
-void open_simplex_noise_free(struct osn_context *ctx)
-{
- if (!ctx)
- return;
- if (ctx->perm) {
- free(ctx->perm);
- ctx->perm = NULL;
- }
- if (ctx->permGradIndex3D) {
- free(ctx->permGradIndex3D);
- ctx->permGradIndex3D = NULL;
- }
- free(ctx);
-}
-*/
-// -- GODOT end --
-
-/* 2D OpenSimplex (Simplectic) Noise. */
-double open_simplex_noise2(const struct osn_context *ctx, double x, double y)
-{
-
- /* Place input coordinates onto grid. */
- double stretchOffset = (x + y) * STRETCH_CONSTANT_2D;
- double xs = x + stretchOffset;
- double ys = y + stretchOffset;
-
- /* Floor to get grid coordinates of rhombus (stretched square) super-cell origin. */
- int xsb = fastFloor(xs);
- int ysb = fastFloor(ys);
-
- /* Skew out to get actual coordinates of rhombus origin. We'll need these later. */
- double squishOffset = (xsb + ysb) * SQUISH_CONSTANT_2D;
- double xb = xsb + squishOffset;
- double yb = ysb + squishOffset;
-
- /* Compute grid coordinates relative to rhombus origin. */
- double xins = xs - xsb;
- double yins = ys - ysb;
-
- /* Sum those together to get a value that determines which region we're in. */
- double inSum = xins + yins;
-
- /* Positions relative to origin point. */
- double dx0 = x - xb;
- double dy0 = y - yb;
-
- /* We'll be defining these inside the next block and using them afterwards. */
- double dx_ext, dy_ext;
- int xsv_ext, ysv_ext;
-
- double dx1;
- double dy1;
- double attn1;
- double dx2;
- double dy2;
- double attn2;
- double zins;
- double attn0;
- double attn_ext;
-
- double value = 0;
-
- /* Contribution (1,0) */
- dx1 = dx0 - 1 - SQUISH_CONSTANT_2D;
- dy1 = dy0 - 0 - SQUISH_CONSTANT_2D;
- attn1 = 2 - dx1 * dx1 - dy1 * dy1;
- if (attn1 > 0) {
- attn1 *= attn1;
- value += attn1 * attn1 * extrapolate2(ctx, xsb + 1, ysb + 0, dx1, dy1);
- }
-
- /* Contribution (0,1) */
- dx2 = dx0 - 0 - SQUISH_CONSTANT_2D;
- dy2 = dy0 - 1 - SQUISH_CONSTANT_2D;
- attn2 = 2 - dx2 * dx2 - dy2 * dy2;
- if (attn2 > 0) {
- attn2 *= attn2;
- value += attn2 * attn2 * extrapolate2(ctx, xsb + 0, ysb + 1, dx2, dy2);
- }
-
- if (inSum <= 1) { /* We're inside the triangle (2-Simplex) at (0,0) */
- zins = 1 - inSum;
- if (zins > xins || zins > yins) { /* (0,0) is one of the closest two triangular vertices */
- if (xins > yins) {
- xsv_ext = xsb + 1;
- ysv_ext = ysb - 1;
- dx_ext = dx0 - 1;
- dy_ext = dy0 + 1;
- } else {
- xsv_ext = xsb - 1;
- ysv_ext = ysb + 1;
- dx_ext = dx0 + 1;
- dy_ext = dy0 - 1;
- }
- } else { /* (1,0) and (0,1) are the closest two vertices. */
- xsv_ext = xsb + 1;
- ysv_ext = ysb + 1;
- dx_ext = dx0 - 1 - 2 * SQUISH_CONSTANT_2D;
- dy_ext = dy0 - 1 - 2 * SQUISH_CONSTANT_2D;
- }
- } else { /* We're inside the triangle (2-Simplex) at (1,1) */
- zins = 2 - inSum;
- if (zins < xins || zins < yins) { /* (0,0) is one of the closest two triangular vertices */
- if (xins > yins) {
- xsv_ext = xsb + 2;
- ysv_ext = ysb + 0;
- dx_ext = dx0 - 2 - 2 * SQUISH_CONSTANT_2D;
- dy_ext = dy0 + 0 - 2 * SQUISH_CONSTANT_2D;
- } else {
- xsv_ext = xsb + 0;
- ysv_ext = ysb + 2;
- dx_ext = dx0 + 0 - 2 * SQUISH_CONSTANT_2D;
- dy_ext = dy0 - 2 - 2 * SQUISH_CONSTANT_2D;
- }
- } else { /* (1,0) and (0,1) are the closest two vertices. */
- dx_ext = dx0;
- dy_ext = dy0;
- xsv_ext = xsb;
- ysv_ext = ysb;
- }
- xsb += 1;
- ysb += 1;
- dx0 = dx0 - 1 - 2 * SQUISH_CONSTANT_2D;
- dy0 = dy0 - 1 - 2 * SQUISH_CONSTANT_2D;
- }
-
- /* Contribution (0,0) or (1,1) */
- attn0 = 2 - dx0 * dx0 - dy0 * dy0;
- if (attn0 > 0) {
- attn0 *= attn0;
- value += attn0 * attn0 * extrapolate2(ctx, xsb, ysb, dx0, dy0);
- }
-
- /* Extra Vertex */
- attn_ext = 2 - dx_ext * dx_ext - dy_ext * dy_ext;
- if (attn_ext > 0) {
- attn_ext *= attn_ext;
- value += attn_ext * attn_ext * extrapolate2(ctx, xsv_ext, ysv_ext, dx_ext, dy_ext);
- }
-
- return value / NORM_CONSTANT_2D;
-}
-
-/*
- * 3D OpenSimplex (Simplectic) Noise
- */
-double open_simplex_noise3(const struct osn_context *ctx, double x, double y, double z)
-{
-
- /* Place input coordinates on simplectic honeycomb. */
- double stretchOffset = (x + y + z) * STRETCH_CONSTANT_3D;
- double xs = x + stretchOffset;
- double ys = y + stretchOffset;
- double zs = z + stretchOffset;
-
- /* Floor to get simplectic honeycomb coordinates of rhombohedron (stretched cube) super-cell origin. */
- int xsb = fastFloor(xs);
- int ysb = fastFloor(ys);
- int zsb = fastFloor(zs);
-
- /* Skew out to get actual coordinates of rhombohedron origin. We'll need these later. */
- double squishOffset = (xsb + ysb + zsb) * SQUISH_CONSTANT_3D;
- double xb = xsb + squishOffset;
- double yb = ysb + squishOffset;
- double zb = zsb + squishOffset;
-
- /* Compute simplectic honeycomb coordinates relative to rhombohedral origin. */
- double xins = xs - xsb;
- double yins = ys - ysb;
- double zins = zs - zsb;
-
- /* Sum those together to get a value that determines which region we're in. */
- double inSum = xins + yins + zins;
-
- /* Positions relative to origin point. */
- double dx0 = x - xb;
- double dy0 = y - yb;
- double dz0 = z - zb;
-
- /* We'll be defining these inside the next block and using them afterwards. */
- double dx_ext0, dy_ext0, dz_ext0;
- double dx_ext1, dy_ext1, dz_ext1;
- int xsv_ext0, ysv_ext0, zsv_ext0;
- int xsv_ext1, ysv_ext1, zsv_ext1;
-
- double wins;
- int8_t c, c1, c2;
- int8_t aPoint, bPoint;
- double aScore, bScore;
- int aIsFurtherSide;
- int bIsFurtherSide;
- double p1, p2, p3;
- double score;
- double attn0, attn1, attn2, attn3, attn4, attn5, attn6;
- double dx1, dy1, dz1;
- double dx2, dy2, dz2;
- double dx3, dy3, dz3;
- double dx4, dy4, dz4;
- double dx5, dy5, dz5;
- double dx6, dy6, dz6;
- double attn_ext0, attn_ext1;
-
- double value = 0;
- if (inSum <= 1) { /* We're inside the tetrahedron (3-Simplex) at (0,0,0) */
-
- /* Determine which two of (0,0,1), (0,1,0), (1,0,0) are closest. */
- aPoint = 0x01;
- aScore = xins;
- bPoint = 0x02;
- bScore = yins;
- if (aScore >= bScore && zins > bScore) {
- bScore = zins;
- bPoint = 0x04;
- } else if (aScore < bScore && zins > aScore) {
- aScore = zins;
- aPoint = 0x04;
- }
-
- /* Now we determine the two lattice points not part of the tetrahedron that may contribute.
- This depends on the closest two tetrahedral vertices, including (0,0,0) */
- wins = 1 - inSum;
- if (wins > aScore || wins > bScore) { /* (0,0,0) is one of the closest two tetrahedral vertices. */
- c = (bScore > aScore ? bPoint : aPoint); /* Our other closest vertex is the closest out of a and b. */
-
- if ((c & 0x01) == 0) {
- xsv_ext0 = xsb - 1;
- xsv_ext1 = xsb;
- dx_ext0 = dx0 + 1;
- dx_ext1 = dx0;
- } else {
- xsv_ext0 = xsv_ext1 = xsb + 1;
- dx_ext0 = dx_ext1 = dx0 - 1;
- }
-
- if ((c & 0x02) == 0) {
- ysv_ext0 = ysv_ext1 = ysb;
- dy_ext0 = dy_ext1 = dy0;
- if ((c & 0x01) == 0) {
- ysv_ext1 -= 1;
- dy_ext1 += 1;
- } else {
- ysv_ext0 -= 1;
- dy_ext0 += 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysb + 1;
- dy_ext0 = dy_ext1 = dy0 - 1;
- }
-
- if ((c & 0x04) == 0) {
- zsv_ext0 = zsb;
- zsv_ext1 = zsb - 1;
- dz_ext0 = dz0;
- dz_ext1 = dz0 + 1;
- } else {
- zsv_ext0 = zsv_ext1 = zsb + 1;
- dz_ext0 = dz_ext1 = dz0 - 1;
- }
- } else { /* (0,0,0) is not one of the closest two tetrahedral vertices. */
- c = (int8_t)(aPoint | bPoint); /* Our two extra vertices are determined by the closest two. */
-
- if ((c & 0x01) == 0) {
- xsv_ext0 = xsb;
- xsv_ext1 = xsb - 1;
- dx_ext0 = dx0 - 2 * SQUISH_CONSTANT_3D;
- dx_ext1 = dx0 + 1 - SQUISH_CONSTANT_3D;
- } else {
- xsv_ext0 = xsv_ext1 = xsb + 1;
- dx_ext0 = dx0 - 1 - 2 * SQUISH_CONSTANT_3D;
- dx_ext1 = dx0 - 1 - SQUISH_CONSTANT_3D;
- }
-
- if ((c & 0x02) == 0) {
- ysv_ext0 = ysb;
- ysv_ext1 = ysb - 1;
- dy_ext0 = dy0 - 2 * SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 + 1 - SQUISH_CONSTANT_3D;
- } else {
- ysv_ext0 = ysv_ext1 = ysb + 1;
- dy_ext0 = dy0 - 1 - 2 * SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 1 - SQUISH_CONSTANT_3D;
- }
-
- if ((c & 0x04) == 0) {
- zsv_ext0 = zsb;
- zsv_ext1 = zsb - 1;
- dz_ext0 = dz0 - 2 * SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 + 1 - SQUISH_CONSTANT_3D;
- } else {
- zsv_ext0 = zsv_ext1 = zsb + 1;
- dz_ext0 = dz0 - 1 - 2 * SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 1 - SQUISH_CONSTANT_3D;
- }
- }
-
- /* Contribution (0,0,0) */
- attn0 = 2 - dx0 * dx0 - dy0 * dy0 - dz0 * dz0;
- if (attn0 > 0) {
- attn0 *= attn0;
- value += attn0 * attn0 * extrapolate3(ctx, xsb + 0, ysb + 0, zsb + 0, dx0, dy0, dz0);
- }
-
- /* Contribution (1,0,0) */
- dx1 = dx0 - 1 - SQUISH_CONSTANT_3D;
- dy1 = dy0 - 0 - SQUISH_CONSTANT_3D;
- dz1 = dz0 - 0 - SQUISH_CONSTANT_3D;
- attn1 = 2 - dx1 * dx1 - dy1 * dy1 - dz1 * dz1;
- if (attn1 > 0) {
- attn1 *= attn1;
- value += attn1 * attn1 * extrapolate3(ctx, xsb + 1, ysb + 0, zsb + 0, dx1, dy1, dz1);
- }
-
- /* Contribution (0,1,0) */
- dx2 = dx0 - 0 - SQUISH_CONSTANT_3D;
- dy2 = dy0 - 1 - SQUISH_CONSTANT_3D;
- dz2 = dz1;
- attn2 = 2 - dx2 * dx2 - dy2 * dy2 - dz2 * dz2;
- if (attn2 > 0) {
- attn2 *= attn2;
- value += attn2 * attn2 * extrapolate3(ctx, xsb + 0, ysb + 1, zsb + 0, dx2, dy2, dz2);
- }
-
- /* Contribution (0,0,1) */
- dx3 = dx2;
- dy3 = dy1;
- dz3 = dz0 - 1 - SQUISH_CONSTANT_3D;
- attn3 = 2 - dx3 * dx3 - dy3 * dy3 - dz3 * dz3;
- if (attn3 > 0) {
- attn3 *= attn3;
- value += attn3 * attn3 * extrapolate3(ctx, xsb + 0, ysb + 0, zsb + 1, dx3, dy3, dz3);
- }
- } else if (inSum >= 2) { /* We're inside the tetrahedron (3-Simplex) at (1,1,1) */
-
- /* Determine which two tetrahedral vertices are the closest, out of (1,1,0), (1,0,1), (0,1,1) but not (1,1,1). */
- aPoint = 0x06;
- aScore = xins;
- bPoint = 0x05;
- bScore = yins;
- if (aScore <= bScore && zins < bScore) {
- bScore = zins;
- bPoint = 0x03;
- } else if (aScore > bScore && zins < aScore) {
- aScore = zins;
- aPoint = 0x03;
- }
-
- /* Now we determine the two lattice points not part of the tetrahedron that may contribute.
- This depends on the closest two tetrahedral vertices, including (1,1,1) */
- wins = 3 - inSum;
- if (wins < aScore || wins < bScore) { /* (1,1,1) is one of the closest two tetrahedral vertices. */
- c = (bScore < aScore ? bPoint : aPoint); /* Our other closest vertex is the closest out of a and b. */
-
- if ((c & 0x01) != 0) {
- xsv_ext0 = xsb + 2;
- xsv_ext1 = xsb + 1;
- dx_ext0 = dx0 - 2 - 3 * SQUISH_CONSTANT_3D;
- dx_ext1 = dx0 - 1 - 3 * SQUISH_CONSTANT_3D;
- } else {
- xsv_ext0 = xsv_ext1 = xsb;
- dx_ext0 = dx_ext1 = dx0 - 3 * SQUISH_CONSTANT_3D;
- }
-
- if ((c & 0x02) != 0) {
- ysv_ext0 = ysv_ext1 = ysb + 1;
- dy_ext0 = dy_ext1 = dy0 - 1 - 3 * SQUISH_CONSTANT_3D;
- if ((c & 0x01) != 0) {
- ysv_ext1 += 1;
- dy_ext1 -= 1;
- } else {
- ysv_ext0 += 1;
- dy_ext0 -= 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysb;
- dy_ext0 = dy_ext1 = dy0 - 3 * SQUISH_CONSTANT_3D;
- }
-
- if ((c & 0x04) != 0) {
- zsv_ext0 = zsb + 1;
- zsv_ext1 = zsb + 2;
- dz_ext0 = dz0 - 1 - 3 * SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 2 - 3 * SQUISH_CONSTANT_3D;
- } else {
- zsv_ext0 = zsv_ext1 = zsb;
- dz_ext0 = dz_ext1 = dz0 - 3 * SQUISH_CONSTANT_3D;
- }
- } else { /* (1,1,1) is not one of the closest two tetrahedral vertices. */
- c = (int8_t)(aPoint & bPoint); /* Our two extra vertices are determined by the closest two. */
-
- if ((c & 0x01) != 0) {
- xsv_ext0 = xsb + 1;
- xsv_ext1 = xsb + 2;
- dx_ext0 = dx0 - 1 - SQUISH_CONSTANT_3D;
- dx_ext1 = dx0 - 2 - 2 * SQUISH_CONSTANT_3D;
- } else {
- xsv_ext0 = xsv_ext1 = xsb;
- dx_ext0 = dx0 - SQUISH_CONSTANT_3D;
- dx_ext1 = dx0 - 2 * SQUISH_CONSTANT_3D;
- }
-
- if ((c & 0x02) != 0) {
- ysv_ext0 = ysb + 1;
- ysv_ext1 = ysb + 2;
- dy_ext0 = dy0 - 1 - SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 2 - 2 * SQUISH_CONSTANT_3D;
- } else {
- ysv_ext0 = ysv_ext1 = ysb;
- dy_ext0 = dy0 - SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 2 * SQUISH_CONSTANT_3D;
- }
-
- if ((c & 0x04) != 0) {
- zsv_ext0 = zsb + 1;
- zsv_ext1 = zsb + 2;
- dz_ext0 = dz0 - 1 - SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 2 - 2 * SQUISH_CONSTANT_3D;
- } else {
- zsv_ext0 = zsv_ext1 = zsb;
- dz_ext0 = dz0 - SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 2 * SQUISH_CONSTANT_3D;
- }
- }
-
- /* Contribution (1,1,0) */
- dx3 = dx0 - 1 - 2 * SQUISH_CONSTANT_3D;
- dy3 = dy0 - 1 - 2 * SQUISH_CONSTANT_3D;
- dz3 = dz0 - 0 - 2 * SQUISH_CONSTANT_3D;
- attn3 = 2 - dx3 * dx3 - dy3 * dy3 - dz3 * dz3;
- if (attn3 > 0) {
- attn3 *= attn3;
- value += attn3 * attn3 * extrapolate3(ctx, xsb + 1, ysb + 1, zsb + 0, dx3, dy3, dz3);
- }
-
- /* Contribution (1,0,1) */
- dx2 = dx3;
- dy2 = dy0 - 0 - 2 * SQUISH_CONSTANT_3D;
- dz2 = dz0 - 1 - 2 * SQUISH_CONSTANT_3D;
- attn2 = 2 - dx2 * dx2 - dy2 * dy2 - dz2 * dz2;
- if (attn2 > 0) {
- attn2 *= attn2;
- value += attn2 * attn2 * extrapolate3(ctx, xsb + 1, ysb + 0, zsb + 1, dx2, dy2, dz2);
- }
-
- /* Contribution (0,1,1) */
- dx1 = dx0 - 0 - 2 * SQUISH_CONSTANT_3D;
- dy1 = dy3;
- dz1 = dz2;
- attn1 = 2 - dx1 * dx1 - dy1 * dy1 - dz1 * dz1;
- if (attn1 > 0) {
- attn1 *= attn1;
- value += attn1 * attn1 * extrapolate3(ctx, xsb + 0, ysb + 1, zsb + 1, dx1, dy1, dz1);
- }
-
- /* Contribution (1,1,1) */
- dx0 = dx0 - 1 - 3 * SQUISH_CONSTANT_3D;
- dy0 = dy0 - 1 - 3 * SQUISH_CONSTANT_3D;
- dz0 = dz0 - 1 - 3 * SQUISH_CONSTANT_3D;
- attn0 = 2 - dx0 * dx0 - dy0 * dy0 - dz0 * dz0;
- if (attn0 > 0) {
- attn0 *= attn0;
- value += attn0 * attn0 * extrapolate3(ctx, xsb + 1, ysb + 1, zsb + 1, dx0, dy0, dz0);
- }
- } else { /* We're inside the octahedron (Rectified 3-Simplex) in between.
- Decide between point (0,0,1) and (1,1,0) as closest */
- p1 = xins + yins;
- if (p1 > 1) {
- aScore = p1 - 1;
- aPoint = 0x03;
- aIsFurtherSide = 1;
- } else {
- aScore = 1 - p1;
- aPoint = 0x04;
- aIsFurtherSide = 0;
- }
-
- /* Decide between point (0,1,0) and (1,0,1) as closest */
- p2 = xins + zins;
- if (p2 > 1) {
- bScore = p2 - 1;
- bPoint = 0x05;
- bIsFurtherSide = 1;
- } else {
- bScore = 1 - p2;
- bPoint = 0x02;
- bIsFurtherSide = 0;
- }
-
- /* The closest out of the two (1,0,0) and (0,1,1) will replace the furthest out of the two decided above, if closer. */
- p3 = yins + zins;
- if (p3 > 1) {
- score = p3 - 1;
- if (aScore <= bScore && aScore < score) {
- aScore = score;
- aPoint = 0x06;
- aIsFurtherSide = 1;
- } else if (aScore > bScore && bScore < score) {
- bScore = score;
- bPoint = 0x06;
- bIsFurtherSide = 1;
- }
- } else {
- score = 1 - p3;
- if (aScore <= bScore && aScore < score) {
- aScore = score;
- aPoint = 0x01;
- aIsFurtherSide = 0;
- } else if (aScore > bScore && bScore < score) {
- bScore = score;
- bPoint = 0x01;
- bIsFurtherSide = 0;
- }
- }
-
- /* Where each of the two closest points are determines how the extra two vertices are calculated. */
- if (aIsFurtherSide == bIsFurtherSide) {
- if (aIsFurtherSide) { /* Both closest points on (1,1,1) side */
-
- /* One of the two extra points is (1,1,1) */
- dx_ext0 = dx0 - 1 - 3 * SQUISH_CONSTANT_3D;
- dy_ext0 = dy0 - 1 - 3 * SQUISH_CONSTANT_3D;
- dz_ext0 = dz0 - 1 - 3 * SQUISH_CONSTANT_3D;
- xsv_ext0 = xsb + 1;
- ysv_ext0 = ysb + 1;
- zsv_ext0 = zsb + 1;
-
- /* Other extra point is based on the shared axis. */
- c = (int8_t)(aPoint & bPoint);
- if ((c & 0x01) != 0) {
- dx_ext1 = dx0 - 2 - 2 * SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 2 * SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 2 * SQUISH_CONSTANT_3D;
- xsv_ext1 = xsb + 2;
- ysv_ext1 = ysb;
- zsv_ext1 = zsb;
- } else if ((c & 0x02) != 0) {
- dx_ext1 = dx0 - 2 * SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 2 - 2 * SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 2 * SQUISH_CONSTANT_3D;
- xsv_ext1 = xsb;
- ysv_ext1 = ysb + 2;
- zsv_ext1 = zsb;
- } else {
- dx_ext1 = dx0 - 2 * SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 2 * SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 2 - 2 * SQUISH_CONSTANT_3D;
- xsv_ext1 = xsb;
- ysv_ext1 = ysb;
- zsv_ext1 = zsb + 2;
- }
- } else { /* Both closest points on (0,0,0) side */
-
- /* One of the two extra points is (0,0,0) */
- dx_ext0 = dx0;
- dy_ext0 = dy0;
- dz_ext0 = dz0;
- xsv_ext0 = xsb;
- ysv_ext0 = ysb;
- zsv_ext0 = zsb;
-
- /* Other extra point is based on the omitted axis. */
- c = (int8_t)(aPoint | bPoint);
- if ((c & 0x01) == 0) {
- dx_ext1 = dx0 + 1 - SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 1 - SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 1 - SQUISH_CONSTANT_3D;
- xsv_ext1 = xsb - 1;
- ysv_ext1 = ysb + 1;
- zsv_ext1 = zsb + 1;
- } else if ((c & 0x02) == 0) {
- dx_ext1 = dx0 - 1 - SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 + 1 - SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 1 - SQUISH_CONSTANT_3D;
- xsv_ext1 = xsb + 1;
- ysv_ext1 = ysb - 1;
- zsv_ext1 = zsb + 1;
- } else {
- dx_ext1 = dx0 - 1 - SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 1 - SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 + 1 - SQUISH_CONSTANT_3D;
- xsv_ext1 = xsb + 1;
- ysv_ext1 = ysb + 1;
- zsv_ext1 = zsb - 1;
- }
- }
- } else { /* One point on (0,0,0) side, one point on (1,1,1) side */
- if (aIsFurtherSide) {
- c1 = aPoint;
- c2 = bPoint;
- } else {
- c1 = bPoint;
- c2 = aPoint;
- }
-
- /* One contribution is a permutation of (1,1,-1) */
- if ((c1 & 0x01) == 0) {
- dx_ext0 = dx0 + 1 - SQUISH_CONSTANT_3D;
- dy_ext0 = dy0 - 1 - SQUISH_CONSTANT_3D;
- dz_ext0 = dz0 - 1 - SQUISH_CONSTANT_3D;
- xsv_ext0 = xsb - 1;
- ysv_ext0 = ysb + 1;
- zsv_ext0 = zsb + 1;
- } else if ((c1 & 0x02) == 0) {
- dx_ext0 = dx0 - 1 - SQUISH_CONSTANT_3D;
- dy_ext0 = dy0 + 1 - SQUISH_CONSTANT_3D;
- dz_ext0 = dz0 - 1 - SQUISH_CONSTANT_3D;
- xsv_ext0 = xsb + 1;
- ysv_ext0 = ysb - 1;
- zsv_ext0 = zsb + 1;
- } else {
- dx_ext0 = dx0 - 1 - SQUISH_CONSTANT_3D;
- dy_ext0 = dy0 - 1 - SQUISH_CONSTANT_3D;
- dz_ext0 = dz0 + 1 - SQUISH_CONSTANT_3D;
- xsv_ext0 = xsb + 1;
- ysv_ext0 = ysb + 1;
- zsv_ext0 = zsb - 1;
- }
-
- /* One contribution is a permutation of (0,0,2) */
- dx_ext1 = dx0 - 2 * SQUISH_CONSTANT_3D;
- dy_ext1 = dy0 - 2 * SQUISH_CONSTANT_3D;
- dz_ext1 = dz0 - 2 * SQUISH_CONSTANT_3D;
- xsv_ext1 = xsb;
- ysv_ext1 = ysb;
- zsv_ext1 = zsb;
- if ((c2 & 0x01) != 0) {
- dx_ext1 -= 2;
- xsv_ext1 += 2;
- } else if ((c2 & 0x02) != 0) {
- dy_ext1 -= 2;
- ysv_ext1 += 2;
- } else {
- dz_ext1 -= 2;
- zsv_ext1 += 2;
- }
- }
-
- /* Contribution (1,0,0) */
- dx1 = dx0 - 1 - SQUISH_CONSTANT_3D;
- dy1 = dy0 - 0 - SQUISH_CONSTANT_3D;
- dz1 = dz0 - 0 - SQUISH_CONSTANT_3D;
- attn1 = 2 - dx1 * dx1 - dy1 * dy1 - dz1 * dz1;
- if (attn1 > 0) {
- attn1 *= attn1;
- value += attn1 * attn1 * extrapolate3(ctx, xsb + 1, ysb + 0, zsb + 0, dx1, dy1, dz1);
- }
-
- /* Contribution (0,1,0) */
- dx2 = dx0 - 0 - SQUISH_CONSTANT_3D;
- dy2 = dy0 - 1 - SQUISH_CONSTANT_3D;
- dz2 = dz1;
- attn2 = 2 - dx2 * dx2 - dy2 * dy2 - dz2 * dz2;
- if (attn2 > 0) {
- attn2 *= attn2;
- value += attn2 * attn2 * extrapolate3(ctx, xsb + 0, ysb + 1, zsb + 0, dx2, dy2, dz2);
- }
-
- /* Contribution (0,0,1) */
- dx3 = dx2;
- dy3 = dy1;
- dz3 = dz0 - 1 - SQUISH_CONSTANT_3D;
- attn3 = 2 - dx3 * dx3 - dy3 * dy3 - dz3 * dz3;
- if (attn3 > 0) {
- attn3 *= attn3;
- value += attn3 * attn3 * extrapolate3(ctx, xsb + 0, ysb + 0, zsb + 1, dx3, dy3, dz3);
- }
-
- /* Contribution (1,1,0) */
- dx4 = dx0 - 1 - 2 * SQUISH_CONSTANT_3D;
- dy4 = dy0 - 1 - 2 * SQUISH_CONSTANT_3D;
- dz4 = dz0 - 0 - 2 * SQUISH_CONSTANT_3D;
- attn4 = 2 - dx4 * dx4 - dy4 * dy4 - dz4 * dz4;
- if (attn4 > 0) {
- attn4 *= attn4;
- value += attn4 * attn4 * extrapolate3(ctx, xsb + 1, ysb + 1, zsb + 0, dx4, dy4, dz4);
- }
-
- /* Contribution (1,0,1) */
- dx5 = dx4;
- dy5 = dy0 - 0 - 2 * SQUISH_CONSTANT_3D;
- dz5 = dz0 - 1 - 2 * SQUISH_CONSTANT_3D;
- attn5 = 2 - dx5 * dx5 - dy5 * dy5 - dz5 * dz5;
- if (attn5 > 0) {
- attn5 *= attn5;
- value += attn5 * attn5 * extrapolate3(ctx, xsb + 1, ysb + 0, zsb + 1, dx5, dy5, dz5);
- }
-
- /* Contribution (0,1,1) */
- dx6 = dx0 - 0 - 2 * SQUISH_CONSTANT_3D;
- dy6 = dy4;
- dz6 = dz5;
- attn6 = 2 - dx6 * dx6 - dy6 * dy6 - dz6 * dz6;
- if (attn6 > 0) {
- attn6 *= attn6;
- value += attn6 * attn6 * extrapolate3(ctx, xsb + 0, ysb + 1, zsb + 1, dx6, dy6, dz6);
- }
- }
-
- /* First extra vertex */
- attn_ext0 = 2 - dx_ext0 * dx_ext0 - dy_ext0 * dy_ext0 - dz_ext0 * dz_ext0;
- if (attn_ext0 > 0)
- {
- attn_ext0 *= attn_ext0;
- value += attn_ext0 * attn_ext0 * extrapolate3(ctx, xsv_ext0, ysv_ext0, zsv_ext0, dx_ext0, dy_ext0, dz_ext0);
- }
-
- /* Second extra vertex */
- attn_ext1 = 2 - dx_ext1 * dx_ext1 - dy_ext1 * dy_ext1 - dz_ext1 * dz_ext1;
- if (attn_ext1 > 0)
- {
- attn_ext1 *= attn_ext1;
- value += attn_ext1 * attn_ext1 * extrapolate3(ctx, xsv_ext1, ysv_ext1, zsv_ext1, dx_ext1, dy_ext1, dz_ext1);
- }
-
- return value / NORM_CONSTANT_3D;
-}
-
-/*
- * 4D OpenSimplex (Simplectic) Noise.
- */
-double open_simplex_noise4(const struct osn_context *ctx, double x, double y, double z, double w)
-{
- double uins;
- double dx1, dy1, dz1, dw1;
- double dx2, dy2, dz2, dw2;
- double dx3, dy3, dz3, dw3;
- double dx4, dy4, dz4, dw4;
- double dx5, dy5, dz5, dw5;
- double dx6, dy6, dz6, dw6;
- double dx7, dy7, dz7, dw7;
- double dx8, dy8, dz8, dw8;
- double dx9, dy9, dz9, dw9;
- double dx10, dy10, dz10, dw10;
- double attn0, attn1, attn2, attn3, attn4;
- double attn5, attn6, attn7, attn8, attn9, attn10;
- double attn_ext0, attn_ext1, attn_ext2;
- int8_t c, c1, c2;
- int8_t aPoint, bPoint;
- double aScore, bScore;
- int aIsBiggerSide;
- int bIsBiggerSide;
- double p1, p2, p3, p4;
- double score;
-
- /* Place input coordinates on simplectic honeycomb. */
- double stretchOffset = (x + y + z + w) * STRETCH_CONSTANT_4D;
- double xs = x + stretchOffset;
- double ys = y + stretchOffset;
- double zs = z + stretchOffset;
- double ws = w + stretchOffset;
-
- /* Floor to get simplectic honeycomb coordinates of rhombo-hypercube super-cell origin. */
- int xsb = fastFloor(xs);
- int ysb = fastFloor(ys);
- int zsb = fastFloor(zs);
- int wsb = fastFloor(ws);
-
- /* Skew out to get actual coordinates of stretched rhombo-hypercube origin. We'll need these later. */
- double squishOffset = (xsb + ysb + zsb + wsb) * SQUISH_CONSTANT_4D;
- double xb = xsb + squishOffset;
- double yb = ysb + squishOffset;
- double zb = zsb + squishOffset;
- double wb = wsb + squishOffset;
-
- /* Compute simplectic honeycomb coordinates relative to rhombo-hypercube origin. */
- double xins = xs - xsb;
- double yins = ys - ysb;
- double zins = zs - zsb;
- double wins = ws - wsb;
-
- /* Sum those together to get a value that determines which region we're in. */
- double inSum = xins + yins + zins + wins;
-
- /* Positions relative to origin point. */
- double dx0 = x - xb;
- double dy0 = y - yb;
- double dz0 = z - zb;
- double dw0 = w - wb;
-
- /* We'll be defining these inside the next block and using them afterwards. */
- double dx_ext0, dy_ext0, dz_ext0, dw_ext0;
- double dx_ext1, dy_ext1, dz_ext1, dw_ext1;
- double dx_ext2, dy_ext2, dz_ext2, dw_ext2;
- int xsv_ext0, ysv_ext0, zsv_ext0, wsv_ext0;
- int xsv_ext1, ysv_ext1, zsv_ext1, wsv_ext1;
- int xsv_ext2, ysv_ext2, zsv_ext2, wsv_ext2;
-
- double value = 0;
- if (inSum <= 1) { /* We're inside the pentachoron (4-Simplex) at (0,0,0,0) */
-
- /* Determine which two of (0,0,0,1), (0,0,1,0), (0,1,0,0), (1,0,0,0) are closest. */
- aPoint = 0x01;
- aScore = xins;
- bPoint = 0x02;
- bScore = yins;
- if (aScore >= bScore && zins > bScore) {
- bScore = zins;
- bPoint = 0x04;
- } else if (aScore < bScore && zins > aScore) {
- aScore = zins;
- aPoint = 0x04;
- }
- if (aScore >= bScore && wins > bScore) {
- bScore = wins;
- bPoint = 0x08;
- } else if (aScore < bScore && wins > aScore) {
- aScore = wins;
- aPoint = 0x08;
- }
-
- /* Now we determine the three lattice points not part of the pentachoron that may contribute.
- This depends on the closest two pentachoron vertices, including (0,0,0,0) */
- uins = 1 - inSum;
- if (uins > aScore || uins > bScore) { /* (0,0,0,0) is one of the closest two pentachoron vertices. */
- c = (bScore > aScore ? bPoint : aPoint); /* Our other closest vertex is the closest out of a and b. */
- if ((c & 0x01) == 0) {
- xsv_ext0 = xsb - 1;
- xsv_ext1 = xsv_ext2 = xsb;
- dx_ext0 = dx0 + 1;
- dx_ext1 = dx_ext2 = dx0;
- } else {
- xsv_ext0 = xsv_ext1 = xsv_ext2 = xsb + 1;
- dx_ext0 = dx_ext1 = dx_ext2 = dx0 - 1;
- }
-
- if ((c & 0x02) == 0) {
- ysv_ext0 = ysv_ext1 = ysv_ext2 = ysb;
- dy_ext0 = dy_ext1 = dy_ext2 = dy0;
- if ((c & 0x01) == 0x01) {
- ysv_ext0 -= 1;
- dy_ext0 += 1;
- } else {
- ysv_ext1 -= 1;
- dy_ext1 += 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysv_ext2 = ysb + 1;
- dy_ext0 = dy_ext1 = dy_ext2 = dy0 - 1;
- }
-
- if ((c & 0x04) == 0) {
- zsv_ext0 = zsv_ext1 = zsv_ext2 = zsb;
- dz_ext0 = dz_ext1 = dz_ext2 = dz0;
- if ((c & 0x03) != 0) {
- if ((c & 0x03) == 0x03) {
- zsv_ext0 -= 1;
- dz_ext0 += 1;
- } else {
- zsv_ext1 -= 1;
- dz_ext1 += 1;
- }
- } else {
- zsv_ext2 -= 1;
- dz_ext2 += 1;
- }
- } else {
- zsv_ext0 = zsv_ext1 = zsv_ext2 = zsb + 1;
- dz_ext0 = dz_ext1 = dz_ext2 = dz0 - 1;
- }
-
- if ((c & 0x08) == 0) {
- wsv_ext0 = wsv_ext1 = wsb;
- wsv_ext2 = wsb - 1;
- dw_ext0 = dw_ext1 = dw0;
- dw_ext2 = dw0 + 1;
- } else {
- wsv_ext0 = wsv_ext1 = wsv_ext2 = wsb + 1;
- dw_ext0 = dw_ext1 = dw_ext2 = dw0 - 1;
- }
- } else { /* (0,0,0,0) is not one of the closest two pentachoron vertices. */
- c = (int8_t)(aPoint | bPoint); /* Our three extra vertices are determined by the closest two. */
-
- if ((c & 0x01) == 0) {
- xsv_ext0 = xsv_ext2 = xsb;
- xsv_ext1 = xsb - 1;
- dx_ext0 = dx0 - 2 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 + 1 - SQUISH_CONSTANT_4D;
- dx_ext2 = dx0 - SQUISH_CONSTANT_4D;
- } else {
- xsv_ext0 = xsv_ext1 = xsv_ext2 = xsb + 1;
- dx_ext0 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx_ext2 = dx0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x02) == 0) {
- ysv_ext0 = ysv_ext1 = ysv_ext2 = ysb;
- dy_ext0 = dy0 - 2 * SQUISH_CONSTANT_4D;
- dy_ext1 = dy_ext2 = dy0 - SQUISH_CONSTANT_4D;
- if ((c & 0x01) == 0x01) {
- ysv_ext1 -= 1;
- dy_ext1 += 1;
- } else {
- ysv_ext2 -= 1;
- dy_ext2 += 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysv_ext2 = ysb + 1;
- dy_ext0 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy_ext1 = dy_ext2 = dy0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x04) == 0) {
- zsv_ext0 = zsv_ext1 = zsv_ext2 = zsb;
- dz_ext0 = dz0 - 2 * SQUISH_CONSTANT_4D;
- dz_ext1 = dz_ext2 = dz0 - SQUISH_CONSTANT_4D;
- if ((c & 0x03) == 0x03) {
- zsv_ext1 -= 1;
- dz_ext1 += 1;
- } else {
- zsv_ext2 -= 1;
- dz_ext2 += 1;
- }
- } else {
- zsv_ext0 = zsv_ext1 = zsv_ext2 = zsb + 1;
- dz_ext0 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz_ext1 = dz_ext2 = dz0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x08) == 0) {
- wsv_ext0 = wsv_ext1 = wsb;
- wsv_ext2 = wsb - 1;
- dw_ext0 = dw0 - 2 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 - SQUISH_CONSTANT_4D;
- dw_ext2 = dw0 + 1 - SQUISH_CONSTANT_4D;
- } else {
- wsv_ext0 = wsv_ext1 = wsv_ext2 = wsb + 1;
- dw_ext0 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw_ext2 = dw0 - 1 - SQUISH_CONSTANT_4D;
- }
- }
-
- /* Contribution (0,0,0,0) */
- attn0 = 2 - dx0 * dx0 - dy0 * dy0 - dz0 * dz0 - dw0 * dw0;
- if (attn0 > 0) {
- attn0 *= attn0;
- value += attn0 * attn0 * extrapolate4(ctx, xsb + 0, ysb + 0, zsb + 0, wsb + 0, dx0, dy0, dz0, dw0);
- }
-
- /* Contribution (1,0,0,0) */
- dx1 = dx0 - 1 - SQUISH_CONSTANT_4D;
- dy1 = dy0 - 0 - SQUISH_CONSTANT_4D;
- dz1 = dz0 - 0 - SQUISH_CONSTANT_4D;
- dw1 = dw0 - 0 - SQUISH_CONSTANT_4D;
- attn1 = 2 - dx1 * dx1 - dy1 * dy1 - dz1 * dz1 - dw1 * dw1;
- if (attn1 > 0) {
- attn1 *= attn1;
- value += attn1 * attn1 * extrapolate4(ctx, xsb + 1, ysb + 0, zsb + 0, wsb + 0, dx1, dy1, dz1, dw1);
- }
-
- /* Contribution (0,1,0,0) */
- dx2 = dx0 - 0 - SQUISH_CONSTANT_4D;
- dy2 = dy0 - 1 - SQUISH_CONSTANT_4D;
- dz2 = dz1;
- dw2 = dw1;
- attn2 = 2 - dx2 * dx2 - dy2 * dy2 - dz2 * dz2 - dw2 * dw2;
- if (attn2 > 0) {
- attn2 *= attn2;
- value += attn2 * attn2 * extrapolate4(ctx, xsb + 0, ysb + 1, zsb + 0, wsb + 0, dx2, dy2, dz2, dw2);
- }
-
- /* Contribution (0,0,1,0) */
- dx3 = dx2;
- dy3 = dy1;
- dz3 = dz0 - 1 - SQUISH_CONSTANT_4D;
- dw3 = dw1;
- attn3 = 2 - dx3 * dx3 - dy3 * dy3 - dz3 * dz3 - dw3 * dw3;
- if (attn3 > 0) {
- attn3 *= attn3;
- value += attn3 * attn3 * extrapolate4(ctx, xsb + 0, ysb + 0, zsb + 1, wsb + 0, dx3, dy3, dz3, dw3);
- }
-
- /* Contribution (0,0,0,1) */
- dx4 = dx2;
- dy4 = dy1;
- dz4 = dz1;
- dw4 = dw0 - 1 - SQUISH_CONSTANT_4D;
- attn4 = 2 - dx4 * dx4 - dy4 * dy4 - dz4 * dz4 - dw4 * dw4;
- if (attn4 > 0) {
- attn4 *= attn4;
- value += attn4 * attn4 * extrapolate4(ctx, xsb + 0, ysb + 0, zsb + 0, wsb + 1, dx4, dy4, dz4, dw4);
- }
- } else if (inSum >= 3) { /* We're inside the pentachoron (4-Simplex) at (1,1,1,1)
- Determine which two of (1,1,1,0), (1,1,0,1), (1,0,1,1), (0,1,1,1) are closest. */
- aPoint = 0x0E;
- aScore = xins;
- bPoint = 0x0D;
- bScore = yins;
- if (aScore <= bScore && zins < bScore) {
- bScore = zins;
- bPoint = 0x0B;
- } else if (aScore > bScore && zins < aScore) {
- aScore = zins;
- aPoint = 0x0B;
- }
- if (aScore <= bScore && wins < bScore) {
- bScore = wins;
- bPoint = 0x07;
- } else if (aScore > bScore && wins < aScore) {
- aScore = wins;
- aPoint = 0x07;
- }
-
- /* Now we determine the three lattice points not part of the pentachoron that may contribute.
- This depends on the closest two pentachoron vertices, including (0,0,0,0) */
- uins = 4 - inSum;
- if (uins < aScore || uins < bScore) { /* (1,1,1,1) is one of the closest two pentachoron vertices. */
- c = (bScore < aScore ? bPoint : aPoint); /* Our other closest vertex is the closest out of a and b. */
-
- if ((c & 0x01) != 0) {
- xsv_ext0 = xsb + 2;
- xsv_ext1 = xsv_ext2 = xsb + 1;
- dx_ext0 = dx0 - 2 - 4 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx_ext2 = dx0 - 1 - 4 * SQUISH_CONSTANT_4D;
- } else {
- xsv_ext0 = xsv_ext1 = xsv_ext2 = xsb;
- dx_ext0 = dx_ext1 = dx_ext2 = dx0 - 4 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x02) != 0) {
- ysv_ext0 = ysv_ext1 = ysv_ext2 = ysb + 1;
- dy_ext0 = dy_ext1 = dy_ext2 = dy0 - 1 - 4 * SQUISH_CONSTANT_4D;
- if ((c & 0x01) != 0) {
- ysv_ext1 += 1;
- dy_ext1 -= 1;
- } else {
- ysv_ext0 += 1;
- dy_ext0 -= 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysv_ext2 = ysb;
- dy_ext0 = dy_ext1 = dy_ext2 = dy0 - 4 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x04) != 0) {
- zsv_ext0 = zsv_ext1 = zsv_ext2 = zsb + 1;
- dz_ext0 = dz_ext1 = dz_ext2 = dz0 - 1 - 4 * SQUISH_CONSTANT_4D;
- if ((c & 0x03) != 0x03) {
- if ((c & 0x03) == 0) {
- zsv_ext0 += 1;
- dz_ext0 -= 1;
- } else {
- zsv_ext1 += 1;
- dz_ext1 -= 1;
- }
- } else {
- zsv_ext2 += 1;
- dz_ext2 -= 1;
- }
- } else {
- zsv_ext0 = zsv_ext1 = zsv_ext2 = zsb;
- dz_ext0 = dz_ext1 = dz_ext2 = dz0 - 4 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x08) != 0) {
- wsv_ext0 = wsv_ext1 = wsb + 1;
- wsv_ext2 = wsb + 2;
- dw_ext0 = dw_ext1 = dw0 - 1 - 4 * SQUISH_CONSTANT_4D;
- dw_ext2 = dw0 - 2 - 4 * SQUISH_CONSTANT_4D;
- } else {
- wsv_ext0 = wsv_ext1 = wsv_ext2 = wsb;
- dw_ext0 = dw_ext1 = dw_ext2 = dw0 - 4 * SQUISH_CONSTANT_4D;
- }
- } else { /* (1,1,1,1) is not one of the closest two pentachoron vertices. */
- c = (int8_t)(aPoint & bPoint); /* Our three extra vertices are determined by the closest two. */
-
- if ((c & 0x01) != 0) {
- xsv_ext0 = xsv_ext2 = xsb + 1;
- xsv_ext1 = xsb + 2;
- dx_ext0 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 - 2 - 3 * SQUISH_CONSTANT_4D;
- dx_ext2 = dx0 - 1 - 3 * SQUISH_CONSTANT_4D;
- } else {
- xsv_ext0 = xsv_ext1 = xsv_ext2 = xsb;
- dx_ext0 = dx0 - 2 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx_ext2 = dx0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x02) != 0) {
- ysv_ext0 = ysv_ext1 = ysv_ext2 = ysb + 1;
- dy_ext0 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy_ext1 = dy_ext2 = dy0 - 1 - 3 * SQUISH_CONSTANT_4D;
- if ((c & 0x01) != 0) {
- ysv_ext2 += 1;
- dy_ext2 -= 1;
- } else {
- ysv_ext1 += 1;
- dy_ext1 -= 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysv_ext2 = ysb;
- dy_ext0 = dy0 - 2 * SQUISH_CONSTANT_4D;
- dy_ext1 = dy_ext2 = dy0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x04) != 0) {
- zsv_ext0 = zsv_ext1 = zsv_ext2 = zsb + 1;
- dz_ext0 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz_ext1 = dz_ext2 = dz0 - 1 - 3 * SQUISH_CONSTANT_4D;
- if ((c & 0x03) != 0) {
- zsv_ext2 += 1;
- dz_ext2 -= 1;
- } else {
- zsv_ext1 += 1;
- dz_ext1 -= 1;
- }
- } else {
- zsv_ext0 = zsv_ext1 = zsv_ext2 = zsb;
- dz_ext0 = dz0 - 2 * SQUISH_CONSTANT_4D;
- dz_ext1 = dz_ext2 = dz0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x08) != 0) {
- wsv_ext0 = wsv_ext1 = wsb + 1;
- wsv_ext2 = wsb + 2;
- dw_ext0 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dw_ext2 = dw0 - 2 - 3 * SQUISH_CONSTANT_4D;
- } else {
- wsv_ext0 = wsv_ext1 = wsv_ext2 = wsb;
- dw_ext0 = dw0 - 2 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw_ext2 = dw0 - 3 * SQUISH_CONSTANT_4D;
- }
- }
-
- /* Contribution (1,1,1,0) */
- dx4 = dx0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dy4 = dy0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dz4 = dz0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dw4 = dw0 - 3 * SQUISH_CONSTANT_4D;
- attn4 = 2 - dx4 * dx4 - dy4 * dy4 - dz4 * dz4 - dw4 * dw4;
- if (attn4 > 0) {
- attn4 *= attn4;
- value += attn4 * attn4 * extrapolate4(ctx, xsb + 1, ysb + 1, zsb + 1, wsb + 0, dx4, dy4, dz4, dw4);
- }
-
- /* Contribution (1,1,0,1) */
- dx3 = dx4;
- dy3 = dy4;
- dz3 = dz0 - 3 * SQUISH_CONSTANT_4D;
- dw3 = dw0 - 1 - 3 * SQUISH_CONSTANT_4D;
- attn3 = 2 - dx3 * dx3 - dy3 * dy3 - dz3 * dz3 - dw3 * dw3;
- if (attn3 > 0) {
- attn3 *= attn3;
- value += attn3 * attn3 * extrapolate4(ctx, xsb + 1, ysb + 1, zsb + 0, wsb + 1, dx3, dy3, dz3, dw3);
- }
-
- /* Contribution (1,0,1,1) */
- dx2 = dx4;
- dy2 = dy0 - 3 * SQUISH_CONSTANT_4D;
- dz2 = dz4;
- dw2 = dw3;
- attn2 = 2 - dx2 * dx2 - dy2 * dy2 - dz2 * dz2 - dw2 * dw2;
- if (attn2 > 0) {
- attn2 *= attn2;
- value += attn2 * attn2 * extrapolate4(ctx, xsb + 1, ysb + 0, zsb + 1, wsb + 1, dx2, dy2, dz2, dw2);
- }
-
- /* Contribution (0,1,1,1) */
- dx1 = dx0 - 3 * SQUISH_CONSTANT_4D;
- dz1 = dz4;
- dy1 = dy4;
- dw1 = dw3;
- attn1 = 2 - dx1 * dx1 - dy1 * dy1 - dz1 * dz1 - dw1 * dw1;
- if (attn1 > 0) {
- attn1 *= attn1;
- value += attn1 * attn1 * extrapolate4(ctx, xsb + 0, ysb + 1, zsb + 1, wsb + 1, dx1, dy1, dz1, dw1);
- }
-
- /* Contribution (1,1,1,1) */
- dx0 = dx0 - 1 - 4 * SQUISH_CONSTANT_4D;
- dy0 = dy0 - 1 - 4 * SQUISH_CONSTANT_4D;
- dz0 = dz0 - 1 - 4 * SQUISH_CONSTANT_4D;
- dw0 = dw0 - 1 - 4 * SQUISH_CONSTANT_4D;
- attn0 = 2 - dx0 * dx0 - dy0 * dy0 - dz0 * dz0 - dw0 * dw0;
- if (attn0 > 0) {
- attn0 *= attn0;
- value += attn0 * attn0 * extrapolate4(ctx, xsb + 1, ysb + 1, zsb + 1, wsb + 1, dx0, dy0, dz0, dw0);
- }
- } else if (inSum <= 2) { /* We're inside the first dispentachoron (Rectified 4-Simplex) */
- aIsBiggerSide = 1;
- bIsBiggerSide = 1;
-
- /* Decide between (1,1,0,0) and (0,0,1,1) */
- if (xins + yins > zins + wins) {
- aScore = xins + yins;
- aPoint = 0x03;
- } else {
- aScore = zins + wins;
- aPoint = 0x0C;
- }
-
- /* Decide between (1,0,1,0) and (0,1,0,1) */
- if (xins + zins > yins + wins) {
- bScore = xins + zins;
- bPoint = 0x05;
- } else {
- bScore = yins + wins;
- bPoint = 0x0A;
- }
-
- /* Closer between (1,0,0,1) and (0,1,1,0) will replace the further of a and b, if closer. */
- if (xins + wins > yins + zins) {
- score = xins + wins;
- if (aScore >= bScore && score > bScore) {
- bScore = score;
- bPoint = 0x09;
- } else if (aScore < bScore && score > aScore) {
- aScore = score;
- aPoint = 0x09;
- }
- } else {
- score = yins + zins;
- if (aScore >= bScore && score > bScore) {
- bScore = score;
- bPoint = 0x06;
- } else if (aScore < bScore && score > aScore) {
- aScore = score;
- aPoint = 0x06;
- }
- }
-
- /* Decide if (1,0,0,0) is closer. */
- p1 = 2 - inSum + xins;
- if (aScore >= bScore && p1 > bScore) {
- bScore = p1;
- bPoint = 0x01;
- bIsBiggerSide = 0;
- } else if (aScore < bScore && p1 > aScore) {
- aScore = p1;
- aPoint = 0x01;
- aIsBiggerSide = 0;
- }
-
- /* Decide if (0,1,0,0) is closer. */
- p2 = 2 - inSum + yins;
- if (aScore >= bScore && p2 > bScore) {
- bScore = p2;
- bPoint = 0x02;
- bIsBiggerSide = 0;
- } else if (aScore < bScore && p2 > aScore) {
- aScore = p2;
- aPoint = 0x02;
- aIsBiggerSide = 0;
- }
-
- /* Decide if (0,0,1,0) is closer. */
- p3 = 2 - inSum + zins;
- if (aScore >= bScore && p3 > bScore) {
- bScore = p3;
- bPoint = 0x04;
- bIsBiggerSide = 0;
- } else if (aScore < bScore && p3 > aScore) {
- aScore = p3;
- aPoint = 0x04;
- aIsBiggerSide = 0;
- }
-
- /* Decide if (0,0,0,1) is closer. */
- p4 = 2 - inSum + wins;
- if (aScore >= bScore && p4 > bScore) {
- bScore = p4;
- bPoint = 0x08;
- bIsBiggerSide = 0;
- } else if (aScore < bScore && p4 > aScore) {
- aScore = p4;
- aPoint = 0x08;
- aIsBiggerSide = 0;
- }
-
- /* Where each of the two closest points are determines how the extra three vertices are calculated. */
- if (aIsBiggerSide == bIsBiggerSide) {
- if (aIsBiggerSide) { /* Both closest points on the bigger side */
- c1 = (int8_t)(aPoint | bPoint);
- c2 = (int8_t)(aPoint & bPoint);
- if ((c1 & 0x01) == 0) {
- xsv_ext0 = xsb;
- xsv_ext1 = xsb - 1;
- dx_ext0 = dx0 - 3 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 + 1 - 2 * SQUISH_CONSTANT_4D;
- } else {
- xsv_ext0 = xsv_ext1 = xsb + 1;
- dx_ext0 = dx0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x02) == 0) {
- ysv_ext0 = ysb;
- ysv_ext1 = ysb - 1;
- dy_ext0 = dy0 - 3 * SQUISH_CONSTANT_4D;
- dy_ext1 = dy0 + 1 - 2 * SQUISH_CONSTANT_4D;
- } else {
- ysv_ext0 = ysv_ext1 = ysb + 1;
- dy_ext0 = dy0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dy_ext1 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x04) == 0) {
- zsv_ext0 = zsb;
- zsv_ext1 = zsb - 1;
- dz_ext0 = dz0 - 3 * SQUISH_CONSTANT_4D;
- dz_ext1 = dz0 + 1 - 2 * SQUISH_CONSTANT_4D;
- } else {
- zsv_ext0 = zsv_ext1 = zsb + 1;
- dz_ext0 = dz0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dz_ext1 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x08) == 0) {
- wsv_ext0 = wsb;
- wsv_ext1 = wsb - 1;
- dw_ext0 = dw0 - 3 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 + 1 - 2 * SQUISH_CONSTANT_4D;
- } else {
- wsv_ext0 = wsv_ext1 = wsb + 1;
- dw_ext0 = dw0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- }
-
- /* One combination is a permutation of (0,0,0,2) based on c2 */
- xsv_ext2 = xsb;
- ysv_ext2 = ysb;
- zsv_ext2 = zsb;
- wsv_ext2 = wsb;
- dx_ext2 = dx0 - 2 * SQUISH_CONSTANT_4D;
- dy_ext2 = dy0 - 2 * SQUISH_CONSTANT_4D;
- dz_ext2 = dz0 - 2 * SQUISH_CONSTANT_4D;
- dw_ext2 = dw0 - 2 * SQUISH_CONSTANT_4D;
- if ((c2 & 0x01) != 0) {
- xsv_ext2 += 2;
- dx_ext2 -= 2;
- } else if ((c2 & 0x02) != 0) {
- ysv_ext2 += 2;
- dy_ext2 -= 2;
- } else if ((c2 & 0x04) != 0) {
- zsv_ext2 += 2;
- dz_ext2 -= 2;
- } else {
- wsv_ext2 += 2;
- dw_ext2 -= 2;
- }
-
- } else { /* Both closest points on the smaller side */
- /* One of the two extra points is (0,0,0,0) */
- xsv_ext2 = xsb;
- ysv_ext2 = ysb;
- zsv_ext2 = zsb;
- wsv_ext2 = wsb;
- dx_ext2 = dx0;
- dy_ext2 = dy0;
- dz_ext2 = dz0;
- dw_ext2 = dw0;
-
- /* Other two points are based on the omitted axes. */
- c = (int8_t)(aPoint | bPoint);
-
- if ((c & 0x01) == 0) {
- xsv_ext0 = xsb - 1;
- xsv_ext1 = xsb;
- dx_ext0 = dx0 + 1 - SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 - SQUISH_CONSTANT_4D;
- } else {
- xsv_ext0 = xsv_ext1 = xsb + 1;
- dx_ext0 = dx_ext1 = dx0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x02) == 0) {
- ysv_ext0 = ysv_ext1 = ysb;
- dy_ext0 = dy_ext1 = dy0 - SQUISH_CONSTANT_4D;
- if ((c & 0x01) == 0x01)
- {
- ysv_ext0 -= 1;
- dy_ext0 += 1;
- } else {
- ysv_ext1 -= 1;
- dy_ext1 += 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysb + 1;
- dy_ext0 = dy_ext1 = dy0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x04) == 0) {
- zsv_ext0 = zsv_ext1 = zsb;
- dz_ext0 = dz_ext1 = dz0 - SQUISH_CONSTANT_4D;
- if ((c & 0x03) == 0x03)
- {
- zsv_ext0 -= 1;
- dz_ext0 += 1;
- } else {
- zsv_ext1 -= 1;
- dz_ext1 += 1;
- }
- } else {
- zsv_ext0 = zsv_ext1 = zsb + 1;
- dz_ext0 = dz_ext1 = dz0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x08) == 0)
- {
- wsv_ext0 = wsb;
- wsv_ext1 = wsb - 1;
- dw_ext0 = dw0 - SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 + 1 - SQUISH_CONSTANT_4D;
- } else {
- wsv_ext0 = wsv_ext1 = wsb + 1;
- dw_ext0 = dw_ext1 = dw0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- }
- } else { /* One point on each "side" */
- if (aIsBiggerSide) {
- c1 = aPoint;
- c2 = bPoint;
- } else {
- c1 = bPoint;
- c2 = aPoint;
- }
-
- /* Two contributions are the bigger-sided point with each 0 replaced with -1. */
- if ((c1 & 0x01) == 0) {
- xsv_ext0 = xsb - 1;
- xsv_ext1 = xsb;
- dx_ext0 = dx0 + 1 - SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 - SQUISH_CONSTANT_4D;
- } else {
- xsv_ext0 = xsv_ext1 = xsb + 1;
- dx_ext0 = dx_ext1 = dx0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x02) == 0) {
- ysv_ext0 = ysv_ext1 = ysb;
- dy_ext0 = dy_ext1 = dy0 - SQUISH_CONSTANT_4D;
- if ((c1 & 0x01) == 0x01) {
- ysv_ext0 -= 1;
- dy_ext0 += 1;
- } else {
- ysv_ext1 -= 1;
- dy_ext1 += 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysb + 1;
- dy_ext0 = dy_ext1 = dy0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x04) == 0) {
- zsv_ext0 = zsv_ext1 = zsb;
- dz_ext0 = dz_ext1 = dz0 - SQUISH_CONSTANT_4D;
- if ((c1 & 0x03) == 0x03) {
- zsv_ext0 -= 1;
- dz_ext0 += 1;
- } else {
- zsv_ext1 -= 1;
- dz_ext1 += 1;
- }
- } else {
- zsv_ext0 = zsv_ext1 = zsb + 1;
- dz_ext0 = dz_ext1 = dz0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x08) == 0) {
- wsv_ext0 = wsb;
- wsv_ext1 = wsb - 1;
- dw_ext0 = dw0 - SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 + 1 - SQUISH_CONSTANT_4D;
- } else {
- wsv_ext0 = wsv_ext1 = wsb + 1;
- dw_ext0 = dw_ext1 = dw0 - 1 - SQUISH_CONSTANT_4D;
- }
-
- /* One contribution is a permutation of (0,0,0,2) based on the smaller-sided point */
- xsv_ext2 = xsb;
- ysv_ext2 = ysb;
- zsv_ext2 = zsb;
- wsv_ext2 = wsb;
- dx_ext2 = dx0 - 2 * SQUISH_CONSTANT_4D;
- dy_ext2 = dy0 - 2 * SQUISH_CONSTANT_4D;
- dz_ext2 = dz0 - 2 * SQUISH_CONSTANT_4D;
- dw_ext2 = dw0 - 2 * SQUISH_CONSTANT_4D;
- if ((c2 & 0x01) != 0) {
- xsv_ext2 += 2;
- dx_ext2 -= 2;
- } else if ((c2 & 0x02) != 0) {
- ysv_ext2 += 2;
- dy_ext2 -= 2;
- } else if ((c2 & 0x04) != 0) {
- zsv_ext2 += 2;
- dz_ext2 -= 2;
- } else {
- wsv_ext2 += 2;
- dw_ext2 -= 2;
- }
- }
-
- /* Contribution (1,0,0,0) */
- dx1 = dx0 - 1 - SQUISH_CONSTANT_4D;
- dy1 = dy0 - 0 - SQUISH_CONSTANT_4D;
- dz1 = dz0 - 0 - SQUISH_CONSTANT_4D;
- dw1 = dw0 - 0 - SQUISH_CONSTANT_4D;
- attn1 = 2 - dx1 * dx1 - dy1 * dy1 - dz1 * dz1 - dw1 * dw1;
- if (attn1 > 0) {
- attn1 *= attn1;
- value += attn1 * attn1 * extrapolate4(ctx, xsb + 1, ysb + 0, zsb + 0, wsb + 0, dx1, dy1, dz1, dw1);
- }
-
- /* Contribution (0,1,0,0) */
- dx2 = dx0 - 0 - SQUISH_CONSTANT_4D;
- dy2 = dy0 - 1 - SQUISH_CONSTANT_4D;
- dz2 = dz1;
- dw2 = dw1;
- attn2 = 2 - dx2 * dx2 - dy2 * dy2 - dz2 * dz2 - dw2 * dw2;
- if (attn2 > 0) {
- attn2 *= attn2;
- value += attn2 * attn2 * extrapolate4(ctx, xsb + 0, ysb + 1, zsb + 0, wsb + 0, dx2, dy2, dz2, dw2);
- }
-
- /* Contribution (0,0,1,0) */
- dx3 = dx2;
- dy3 = dy1;
- dz3 = dz0 - 1 - SQUISH_CONSTANT_4D;
- dw3 = dw1;
- attn3 = 2 - dx3 * dx3 - dy3 * dy3 - dz3 * dz3 - dw3 * dw3;
- if (attn3 > 0) {
- attn3 *= attn3;
- value += attn3 * attn3 * extrapolate4(ctx, xsb + 0, ysb + 0, zsb + 1, wsb + 0, dx3, dy3, dz3, dw3);
- }
-
- /* Contribution (0,0,0,1) */
- dx4 = dx2;
- dy4 = dy1;
- dz4 = dz1;
- dw4 = dw0 - 1 - SQUISH_CONSTANT_4D;
- attn4 = 2 - dx4 * dx4 - dy4 * dy4 - dz4 * dz4 - dw4 * dw4;
- if (attn4 > 0) {
- attn4 *= attn4;
- value += attn4 * attn4 * extrapolate4(ctx, xsb + 0, ysb + 0, zsb + 0, wsb + 1, dx4, dy4, dz4, dw4);
- }
-
- /* Contribution (1,1,0,0) */
- dx5 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy5 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz5 = dz0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dw5 = dw0 - 0 - 2 * SQUISH_CONSTANT_4D;
- attn5 = 2 - dx5 * dx5 - dy5 * dy5 - dz5 * dz5 - dw5 * dw5;
- if (attn5 > 0) {
- attn5 *= attn5;
- value += attn5 * attn5 * extrapolate4(ctx, xsb + 1, ysb + 1, zsb + 0, wsb + 0, dx5, dy5, dz5, dw5);
- }
-
- /* Contribution (1,0,1,0) */
- dx6 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy6 = dy0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dz6 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw6 = dw0 - 0 - 2 * SQUISH_CONSTANT_4D;
- attn6 = 2 - dx6 * dx6 - dy6 * dy6 - dz6 * dz6 - dw6 * dw6;
- if (attn6 > 0) {
- attn6 *= attn6;
- value += attn6 * attn6 * extrapolate4(ctx, xsb + 1, ysb + 0, zsb + 1, wsb + 0, dx6, dy6, dz6, dw6);
- }
-
- /* Contribution (1,0,0,1) */
- dx7 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy7 = dy0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dz7 = dz0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dw7 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- attn7 = 2 - dx7 * dx7 - dy7 * dy7 - dz7 * dz7 - dw7 * dw7;
- if (attn7 > 0) {
- attn7 *= attn7;
- value += attn7 * attn7 * extrapolate4(ctx, xsb + 1, ysb + 0, zsb + 0, wsb + 1, dx7, dy7, dz7, dw7);
- }
-
- /* Contribution (0,1,1,0) */
- dx8 = dx0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dy8 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz8 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw8 = dw0 - 0 - 2 * SQUISH_CONSTANT_4D;
- attn8 = 2 - dx8 * dx8 - dy8 * dy8 - dz8 * dz8 - dw8 * dw8;
- if (attn8 > 0) {
- attn8 *= attn8;
- value += attn8 * attn8 * extrapolate4(ctx, xsb + 0, ysb + 1, zsb + 1, wsb + 0, dx8, dy8, dz8, dw8);
- }
-
- /* Contribution (0,1,0,1) */
- dx9 = dx0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dy9 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz9 = dz0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dw9 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- attn9 = 2 - dx9 * dx9 - dy9 * dy9 - dz9 * dz9 - dw9 * dw9;
- if (attn9 > 0) {
- attn9 *= attn9;
- value += attn9 * attn9 * extrapolate4(ctx, xsb + 0, ysb + 1, zsb + 0, wsb + 1, dx9, dy9, dz9, dw9);
- }
-
- /* Contribution (0,0,1,1) */
- dx10 = dx0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dy10 = dy0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dz10 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw10 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- attn10 = 2 - dx10 * dx10 - dy10 * dy10 - dz10 * dz10 - dw10 * dw10;
- if (attn10 > 0) {
- attn10 *= attn10;
- value += attn10 * attn10 * extrapolate4(ctx, xsb + 0, ysb + 0, zsb + 1, wsb + 1, dx10, dy10, dz10, dw10);
- }
- } else { /* We're inside the second dispentachoron (Rectified 4-Simplex) */
- aIsBiggerSide = 1;
- bIsBiggerSide = 1;
-
- /* Decide between (0,0,1,1) and (1,1,0,0) */
- if (xins + yins < zins + wins) {
- aScore = xins + yins;
- aPoint = 0x0C;
- } else {
- aScore = zins + wins;
- aPoint = 0x03;
- }
-
- /* Decide between (0,1,0,1) and (1,0,1,0) */
- if (xins + zins < yins + wins) {
- bScore = xins + zins;
- bPoint = 0x0A;
- } else {
- bScore = yins + wins;
- bPoint = 0x05;
- }
-
- /* Closer between (0,1,1,0) and (1,0,0,1) will replace the further of a and b, if closer. */
- if (xins + wins < yins + zins) {
- score = xins + wins;
- if (aScore <= bScore && score < bScore) {
- bScore = score;
- bPoint = 0x06;
- } else if (aScore > bScore && score < aScore) {
- aScore = score;
- aPoint = 0x06;
- }
- } else {
- score = yins + zins;
- if (aScore <= bScore && score < bScore) {
- bScore = score;
- bPoint = 0x09;
- } else if (aScore > bScore && score < aScore) {
- aScore = score;
- aPoint = 0x09;
- }
- }
-
- /* Decide if (0,1,1,1) is closer. */
- p1 = 3 - inSum + xins;
- if (aScore <= bScore && p1 < bScore) {
- bScore = p1;
- bPoint = 0x0E;
- bIsBiggerSide = 0;
- } else if (aScore > bScore && p1 < aScore) {
- aScore = p1;
- aPoint = 0x0E;
- aIsBiggerSide = 0;
- }
-
- /* Decide if (1,0,1,1) is closer. */
- p2 = 3 - inSum + yins;
- if (aScore <= bScore && p2 < bScore) {
- bScore = p2;
- bPoint = 0x0D;
- bIsBiggerSide = 0;
- } else if (aScore > bScore && p2 < aScore) {
- aScore = p2;
- aPoint = 0x0D;
- aIsBiggerSide = 0;
- }
-
- /* Decide if (1,1,0,1) is closer. */
- p3 = 3 - inSum + zins;
- if (aScore <= bScore && p3 < bScore) {
- bScore = p3;
- bPoint = 0x0B;
- bIsBiggerSide = 0;
- } else if (aScore > bScore && p3 < aScore) {
- aScore = p3;
- aPoint = 0x0B;
- aIsBiggerSide = 0;
- }
-
- /* Decide if (1,1,1,0) is closer. */
- p4 = 3 - inSum + wins;
- if (aScore <= bScore && p4 < bScore) {
- bScore = p4;
- bPoint = 0x07;
- bIsBiggerSide = 0;
- } else if (aScore > bScore && p4 < aScore) {
- aScore = p4;
- aPoint = 0x07;
- aIsBiggerSide = 0;
- }
-
- /* Where each of the two closest points are determines how the extra three vertices are calculated. */
- if (aIsBiggerSide == bIsBiggerSide) {
- if (aIsBiggerSide) { /* Both closest points on the bigger side */
- c1 = (int8_t)(aPoint & bPoint);
- c2 = (int8_t)(aPoint | bPoint);
-
- /* Two contributions are permutations of (0,0,0,1) and (0,0,0,2) based on c1 */
- xsv_ext0 = xsv_ext1 = xsb;
- ysv_ext0 = ysv_ext1 = ysb;
- zsv_ext0 = zsv_ext1 = zsb;
- wsv_ext0 = wsv_ext1 = wsb;
- dx_ext0 = dx0 - SQUISH_CONSTANT_4D;
- dy_ext0 = dy0 - SQUISH_CONSTANT_4D;
- dz_ext0 = dz0 - SQUISH_CONSTANT_4D;
- dw_ext0 = dw0 - SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 - 2 * SQUISH_CONSTANT_4D;
- dy_ext1 = dy0 - 2 * SQUISH_CONSTANT_4D;
- dz_ext1 = dz0 - 2 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 - 2 * SQUISH_CONSTANT_4D;
- if ((c1 & 0x01) != 0) {
- xsv_ext0 += 1;
- dx_ext0 -= 1;
- xsv_ext1 += 2;
- dx_ext1 -= 2;
- } else if ((c1 & 0x02) != 0) {
- ysv_ext0 += 1;
- dy_ext0 -= 1;
- ysv_ext1 += 2;
- dy_ext1 -= 2;
- } else if ((c1 & 0x04) != 0) {
- zsv_ext0 += 1;
- dz_ext0 -= 1;
- zsv_ext1 += 2;
- dz_ext1 -= 2;
- } else {
- wsv_ext0 += 1;
- dw_ext0 -= 1;
- wsv_ext1 += 2;
- dw_ext1 -= 2;
- }
-
- /* One contribution is a permutation of (1,1,1,-1) based on c2 */
- xsv_ext2 = xsb + 1;
- ysv_ext2 = ysb + 1;
- zsv_ext2 = zsb + 1;
- wsv_ext2 = wsb + 1;
- dx_ext2 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy_ext2 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz_ext2 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw_ext2 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- if ((c2 & 0x01) == 0) {
- xsv_ext2 -= 2;
- dx_ext2 += 2;
- } else if ((c2 & 0x02) == 0) {
- ysv_ext2 -= 2;
- dy_ext2 += 2;
- } else if ((c2 & 0x04) == 0) {
- zsv_ext2 -= 2;
- dz_ext2 += 2;
- } else {
- wsv_ext2 -= 2;
- dw_ext2 += 2;
- }
- } else { /* Both closest points on the smaller side */
- /* One of the two extra points is (1,1,1,1) */
- xsv_ext2 = xsb + 1;
- ysv_ext2 = ysb + 1;
- zsv_ext2 = zsb + 1;
- wsv_ext2 = wsb + 1;
- dx_ext2 = dx0 - 1 - 4 * SQUISH_CONSTANT_4D;
- dy_ext2 = dy0 - 1 - 4 * SQUISH_CONSTANT_4D;
- dz_ext2 = dz0 - 1 - 4 * SQUISH_CONSTANT_4D;
- dw_ext2 = dw0 - 1 - 4 * SQUISH_CONSTANT_4D;
-
- /* Other two points are based on the shared axes. */
- c = (int8_t)(aPoint & bPoint);
-
- if ((c & 0x01) != 0) {
- xsv_ext0 = xsb + 2;
- xsv_ext1 = xsb + 1;
- dx_ext0 = dx0 - 2 - 3 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 - 1 - 3 * SQUISH_CONSTANT_4D;
- } else {
- xsv_ext0 = xsv_ext1 = xsb;
- dx_ext0 = dx_ext1 = dx0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x02) != 0) {
- ysv_ext0 = ysv_ext1 = ysb + 1;
- dy_ext0 = dy_ext1 = dy0 - 1 - 3 * SQUISH_CONSTANT_4D;
- if ((c & 0x01) == 0)
- {
- ysv_ext0 += 1;
- dy_ext0 -= 1;
- } else {
- ysv_ext1 += 1;
- dy_ext1 -= 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysb;
- dy_ext0 = dy_ext1 = dy0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x04) != 0) {
- zsv_ext0 = zsv_ext1 = zsb + 1;
- dz_ext0 = dz_ext1 = dz0 - 1 - 3 * SQUISH_CONSTANT_4D;
- if ((c & 0x03) == 0)
- {
- zsv_ext0 += 1;
- dz_ext0 -= 1;
- } else {
- zsv_ext1 += 1;
- dz_ext1 -= 1;
- }
- } else {
- zsv_ext0 = zsv_ext1 = zsb;
- dz_ext0 = dz_ext1 = dz0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c & 0x08) != 0)
- {
- wsv_ext0 = wsb + 1;
- wsv_ext1 = wsb + 2;
- dw_ext0 = dw0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 - 2 - 3 * SQUISH_CONSTANT_4D;
- } else {
- wsv_ext0 = wsv_ext1 = wsb;
- dw_ext0 = dw_ext1 = dw0 - 3 * SQUISH_CONSTANT_4D;
- }
- }
- } else { /* One point on each "side" */
- if (aIsBiggerSide) {
- c1 = aPoint;
- c2 = bPoint;
- } else {
- c1 = bPoint;
- c2 = aPoint;
- }
-
- /* Two contributions are the bigger-sided point with each 1 replaced with 2. */
- if ((c1 & 0x01) != 0) {
- xsv_ext0 = xsb + 2;
- xsv_ext1 = xsb + 1;
- dx_ext0 = dx0 - 2 - 3 * SQUISH_CONSTANT_4D;
- dx_ext1 = dx0 - 1 - 3 * SQUISH_CONSTANT_4D;
- } else {
- xsv_ext0 = xsv_ext1 = xsb;
- dx_ext0 = dx_ext1 = dx0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x02) != 0) {
- ysv_ext0 = ysv_ext1 = ysb + 1;
- dy_ext0 = dy_ext1 = dy0 - 1 - 3 * SQUISH_CONSTANT_4D;
- if ((c1 & 0x01) == 0) {
- ysv_ext0 += 1;
- dy_ext0 -= 1;
- } else {
- ysv_ext1 += 1;
- dy_ext1 -= 1;
- }
- } else {
- ysv_ext0 = ysv_ext1 = ysb;
- dy_ext0 = dy_ext1 = dy0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x04) != 0) {
- zsv_ext0 = zsv_ext1 = zsb + 1;
- dz_ext0 = dz_ext1 = dz0 - 1 - 3 * SQUISH_CONSTANT_4D;
- if ((c1 & 0x03) == 0) {
- zsv_ext0 += 1;
- dz_ext0 -= 1;
- } else {
- zsv_ext1 += 1;
- dz_ext1 -= 1;
- }
- } else {
- zsv_ext0 = zsv_ext1 = zsb;
- dz_ext0 = dz_ext1 = dz0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- if ((c1 & 0x08) != 0) {
- wsv_ext0 = wsb + 1;
- wsv_ext1 = wsb + 2;
- dw_ext0 = dw0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dw_ext1 = dw0 - 2 - 3 * SQUISH_CONSTANT_4D;
- } else {
- wsv_ext0 = wsv_ext1 = wsb;
- dw_ext0 = dw_ext1 = dw0 - 3 * SQUISH_CONSTANT_4D;
- }
-
- /* One contribution is a permutation of (1,1,1,-1) based on the smaller-sided point */
- xsv_ext2 = xsb + 1;
- ysv_ext2 = ysb + 1;
- zsv_ext2 = zsb + 1;
- wsv_ext2 = wsb + 1;
- dx_ext2 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy_ext2 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz_ext2 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw_ext2 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- if ((c2 & 0x01) == 0) {
- xsv_ext2 -= 2;
- dx_ext2 += 2;
- } else if ((c2 & 0x02) == 0) {
- ysv_ext2 -= 2;
- dy_ext2 += 2;
- } else if ((c2 & 0x04) == 0) {
- zsv_ext2 -= 2;
- dz_ext2 += 2;
- } else {
- wsv_ext2 -= 2;
- dw_ext2 += 2;
- }
- }
-
- /* Contribution (1,1,1,0) */
- dx4 = dx0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dy4 = dy0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dz4 = dz0 - 1 - 3 * SQUISH_CONSTANT_4D;
- dw4 = dw0 - 3 * SQUISH_CONSTANT_4D;
- attn4 = 2 - dx4 * dx4 - dy4 * dy4 - dz4 * dz4 - dw4 * dw4;
- if (attn4 > 0) {
- attn4 *= attn4;
- value += attn4 * attn4 * extrapolate4(ctx, xsb + 1, ysb + 1, zsb + 1, wsb + 0, dx4, dy4, dz4, dw4);
- }
-
- /* Contribution (1,1,0,1) */
- dx3 = dx4;
- dy3 = dy4;
- dz3 = dz0 - 3 * SQUISH_CONSTANT_4D;
- dw3 = dw0 - 1 - 3 * SQUISH_CONSTANT_4D;
- attn3 = 2 - dx3 * dx3 - dy3 * dy3 - dz3 * dz3 - dw3 * dw3;
- if (attn3 > 0) {
- attn3 *= attn3;
- value += attn3 * attn3 * extrapolate4(ctx, xsb + 1, ysb + 1, zsb + 0, wsb + 1, dx3, dy3, dz3, dw3);
- }
-
- /* Contribution (1,0,1,1) */
- dx2 = dx4;
- dy2 = dy0 - 3 * SQUISH_CONSTANT_4D;
- dz2 = dz4;
- dw2 = dw3;
- attn2 = 2 - dx2 * dx2 - dy2 * dy2 - dz2 * dz2 - dw2 * dw2;
- if (attn2 > 0) {
- attn2 *= attn2;
- value += attn2 * attn2 * extrapolate4(ctx, xsb + 1, ysb + 0, zsb + 1, wsb + 1, dx2, dy2, dz2, dw2);
- }
-
- /* Contribution (0,1,1,1) */
- dx1 = dx0 - 3 * SQUISH_CONSTANT_4D;
- dz1 = dz4;
- dy1 = dy4;
- dw1 = dw3;
- attn1 = 2 - dx1 * dx1 - dy1 * dy1 - dz1 * dz1 - dw1 * dw1;
- if (attn1 > 0) {
- attn1 *= attn1;
- value += attn1 * attn1 * extrapolate4(ctx, xsb + 0, ysb + 1, zsb + 1, wsb + 1, dx1, dy1, dz1, dw1);
- }
-
- /* Contribution (1,1,0,0) */
- dx5 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy5 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz5 = dz0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dw5 = dw0 - 0 - 2 * SQUISH_CONSTANT_4D;
- attn5 = 2 - dx5 * dx5 - dy5 * dy5 - dz5 * dz5 - dw5 * dw5;
- if (attn5 > 0) {
- attn5 *= attn5;
- value += attn5 * attn5 * extrapolate4(ctx, xsb + 1, ysb + 1, zsb + 0, wsb + 0, dx5, dy5, dz5, dw5);
- }
-
- /* Contribution (1,0,1,0) */
- dx6 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy6 = dy0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dz6 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw6 = dw0 - 0 - 2 * SQUISH_CONSTANT_4D;
- attn6 = 2 - dx6 * dx6 - dy6 * dy6 - dz6 * dz6 - dw6 * dw6;
- if (attn6 > 0) {
- attn6 *= attn6;
- value += attn6 * attn6 * extrapolate4(ctx, xsb + 1, ysb + 0, zsb + 1, wsb + 0, dx6, dy6, dz6, dw6);
- }
-
- /* Contribution (1,0,0,1) */
- dx7 = dx0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dy7 = dy0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dz7 = dz0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dw7 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- attn7 = 2 - dx7 * dx7 - dy7 * dy7 - dz7 * dz7 - dw7 * dw7;
- if (attn7 > 0) {
- attn7 *= attn7;
- value += attn7 * attn7 * extrapolate4(ctx, xsb + 1, ysb + 0, zsb + 0, wsb + 1, dx7, dy7, dz7, dw7);
- }
-
- /* Contribution (0,1,1,0) */
- dx8 = dx0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dy8 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz8 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw8 = dw0 - 0 - 2 * SQUISH_CONSTANT_4D;
- attn8 = 2 - dx8 * dx8 - dy8 * dy8 - dz8 * dz8 - dw8 * dw8;
- if (attn8 > 0) {
- attn8 *= attn8;
- value += attn8 * attn8 * extrapolate4(ctx, xsb + 0, ysb + 1, zsb + 1, wsb + 0, dx8, dy8, dz8, dw8);
- }
-
- /* Contribution (0,1,0,1) */
- dx9 = dx0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dy9 = dy0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dz9 = dz0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dw9 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- attn9 = 2 - dx9 * dx9 - dy9 * dy9 - dz9 * dz9 - dw9 * dw9;
- if (attn9 > 0) {
- attn9 *= attn9;
- value += attn9 * attn9 * extrapolate4(ctx, xsb + 0, ysb + 1, zsb + 0, wsb + 1, dx9, dy9, dz9, dw9);
- }
-
- /* Contribution (0,0,1,1) */
- dx10 = dx0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dy10 = dy0 - 0 - 2 * SQUISH_CONSTANT_4D;
- dz10 = dz0 - 1 - 2 * SQUISH_CONSTANT_4D;
- dw10 = dw0 - 1 - 2 * SQUISH_CONSTANT_4D;
- attn10 = 2 - dx10 * dx10 - dy10 * dy10 - dz10 * dz10 - dw10 * dw10;
- if (attn10 > 0) {
- attn10 *= attn10;
- value += attn10 * attn10 * extrapolate4(ctx, xsb + 0, ysb + 0, zsb + 1, wsb + 1, dx10, dy10, dz10, dw10);
- }
- }
-
- /* First extra vertex */
- attn_ext0 = 2 - dx_ext0 * dx_ext0 - dy_ext0 * dy_ext0 - dz_ext0 * dz_ext0 - dw_ext0 * dw_ext0;
- if (attn_ext0 > 0)
- {
- attn_ext0 *= attn_ext0;
- value += attn_ext0 * attn_ext0 * extrapolate4(ctx, xsv_ext0, ysv_ext0, zsv_ext0, wsv_ext0, dx_ext0, dy_ext0, dz_ext0, dw_ext0);
- }
-
- /* Second extra vertex */
- attn_ext1 = 2 - dx_ext1 * dx_ext1 - dy_ext1 * dy_ext1 - dz_ext1 * dz_ext1 - dw_ext1 * dw_ext1;
- if (attn_ext1 > 0)
- {
- attn_ext1 *= attn_ext1;
- value += attn_ext1 * attn_ext1 * extrapolate4(ctx, xsv_ext1, ysv_ext1, zsv_ext1, wsv_ext1, dx_ext1, dy_ext1, dz_ext1, dw_ext1);
- }
-
- /* Third extra vertex */
- attn_ext2 = 2 - dx_ext2 * dx_ext2 - dy_ext2 * dy_ext2 - dz_ext2 * dz_ext2 - dw_ext2 * dw_ext2;
- if (attn_ext2 > 0)
- {
- attn_ext2 *= attn_ext2;
- value += attn_ext2 * attn_ext2 * extrapolate4(ctx, xsv_ext2, ysv_ext2, zsv_ext2, wsv_ext2, dx_ext2, dy_ext2, dz_ext2, dw_ext2);
- }
-
- return value / NORM_CONSTANT_4D;
-}
-
diff --git a/thirdparty/misc/open-simplex-noise.h b/thirdparty/misc/open-simplex-noise.h
deleted file mode 100644
index fd9248c3a1..0000000000
--- a/thirdparty/misc/open-simplex-noise.h
+++ /dev/null
@@ -1,58 +0,0 @@
-#ifndef OPEN_SIMPLEX_NOISE_H__
-#define OPEN_SIMPLEX_NOISE_H__
-
-/*
- * OpenSimplex (Simplectic) Noise in C.
- * Ported to C from Kurt Spencer's java implementation by Stephen M. Cameron
- *
- * v1.1 (October 6, 2014)
- * - Ported to C
- *
- * v1.1 (October 5, 2014)
- * - Added 2D and 4D implementations.
- * - Proper gradient sets for all dimensions, from a
- * dimensionally-generalizable scheme with an actual
- * rhyme and reason behind it.
- * - Removed default permutation array in favor of
- * default seed.
- * - Changed seed-based constructor to be independent
- * of any particular randomization library, so results
- * will be the same when ported to other languages.
- */
-
-#if ((__GNUC_STDC_INLINE__) || (__STDC_VERSION__ >= 199901L))
- #include <stdint.h>
- #define INLINE inline
-#elif (defined (_MSC_VER) || defined (__GNUC_GNU_INLINE__))
- #include <stdint.h>
- #define INLINE __inline
-#else
- /* ANSI C doesn't have inline or stdint.h. */
- #define INLINE
-#endif
-
-#ifdef __cplusplus
- extern "C" {
-#endif
-
-// -- GODOT start --
-// Modified to work without allocating memory, also removed some unused function.
-
-struct osn_context {
- int16_t perm[256];
- int16_t permGradIndex3D[256];
-};
-
-int open_simplex_noise(int64_t seed, struct osn_context *ctx);
-//int open_simplex_noise_init_perm(struct osn_context *ctx, int16_t p[], int nelements);
-// -- GODOT end --
-void open_simplex_noise_free(struct osn_context *ctx);
-double open_simplex_noise2(const struct osn_context *ctx, double x, double y);
-double open_simplex_noise3(const struct osn_context *ctx, double x, double y, double z);
-double open_simplex_noise4(const struct osn_context *ctx, double x, double y, double z, double w);
-
-#ifdef __cplusplus
- }
-#endif
-
-#endif
diff --git a/thirdparty/noise/FastNoise-LICENSE b/thirdparty/noise/FastNoise-LICENSE
new file mode 100644
index 0000000000..dd6df2c160
--- /dev/null
+++ b/thirdparty/noise/FastNoise-LICENSE
@@ -0,0 +1,22 @@
+MIT License
+
+Copyright(c) 2020 Jordan Peck (jordan.me2@gmail.com)
+Copyright(c) 2020 Contributors
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE. \ No newline at end of file
diff --git a/thirdparty/noise/FastNoiseLite.h b/thirdparty/noise/FastNoiseLite.h
new file mode 100644
index 0000000000..3db344c149
--- /dev/null
+++ b/thirdparty/noise/FastNoiseLite.h
@@ -0,0 +1,2589 @@
+// MIT License
+//
+// Copyright(c) 2020 Jordan Peck (jordan.me2@gmail.com)
+// Copyright(c) 2020 Contributors
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files(the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and / or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions :
+//
+// The above copyright notice and this permission notice shall be included in all
+// copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+//
+// .'',;:cldxkO00KKXXNNWWWNNXKOkxdollcc::::::;:::ccllloooolllllllllooollc:,'... ...........',;cldxkO000Okxdlc::;;;,,;;;::cclllllll
+// ..',;:ldxO0KXXNNNNNNNNXXK0kxdolcc::::::;;;,,,,,,;;;;;;;;;;:::cclllllc:;'.... ...........',;:ldxO0KXXXK0Okxdolc::;;;;::cllodddddo
+// ...',:loxO0KXNNNNNXXKK0Okxdolc::;::::::::;;;,,'''''.....''',;:clllllc:;,'............''''''''',;:loxO0KXNNNNNXK0Okxdollccccllodxxxxxxd
+// ....';:ldkO0KXXXKK00Okxdolcc:;;;;;::cclllcc:;;,''..... ....',;clooddolcc:;;;;,,;;;;;::::;;;;;;:cloxk0KXNWWWWWWNXKK0Okxddoooddxxkkkkkxx
+// .....';:ldxkOOOOOkxxdolcc:;;;,,,;;:cllooooolcc:;'... ..,:codxkkkxddooollloooooooollcc:::::clodkO0KXNWWWWWWNNXK00Okxxxxxxxxkkkkxxx
+// . ....';:cloddddo___________,,,,;;:clooddddoolc:,... ..,:ldx__00OOOkkk___kkkkkkxxdollc::::cclodkO0KXXNNNNNNXXK0OOkxxxxxxxxxxxxddd
+// .......',;:cccc:| |,,,;;:cclooddddoll:;'.. ..';cox| \KKK000| |KK00OOkxdocc___;::clldxxkO0KKKKK00Okkxdddddddddddddddoo
+// .......'',,,,,''| ________|',,;;::cclloooooolc:;'......___:ldk| \KK000| |XKKK0Okxolc| |;;::cclodxxkkkkxxdoolllcclllooodddooooo
+// ''......''''....| | ....'',,,,;;;::cclloooollc:;,''.'| |oxk| \OOO0| |KKK00Oxdoll|___|;;;;;::ccllllllcc::;;,,;;;:cclloooooooo
+// ;;,''.......... | |_____',,;;;____:___cllo________.___| |___| \xkk| |KK_______ool___:::;________;;;_______...'',;;:ccclllloo
+// c:;,''......... | |:::/ ' |lo/ | | \dx| |0/ \d| |cc/ |'/ \......',,;;:ccllo
+// ol:;,'..........| _____|ll/ __ |o/ ______|____ ___| | \o| |/ ___ \| |o/ ______|/ ___ \ .......'',;:clo
+// dlc;,...........| |::clooo| / | |x\___ \KXKKK0| |dol| |\ \| | | | | |d\___ \..| | / / ....',:cl
+// xoc;'... .....'| |llodddd| \__| |_____\ \KKK0O| |lc:| |'\ | |___| | |_____\ \.| |_/___/... ...',;:c
+// dlc;'... ....',;| |oddddddo\ | |Okkx| |::;| |..\ |\ /| | | \ |... ....',;:c
+// ol:,'.......',:c|___|xxxddollc\_____,___|_________/ddoll|___|,,,|___|...\_____|:\ ______/l|___|_________/...\________|'........',;::cc
+// c:;'.......';:codxxkkkkxxolc::;::clodxkOO0OOkkxdollc::;;,,''''',,,,''''''''''',,'''''',;:loxkkOOkxol:;,'''',,;:ccllcc:;,'''''',;::ccll
+// ;,'.......',:codxkOO0OOkxdlc:;,,;;:cldxxkkxxdolc:;;,,''.....'',;;:::;;,,,'''''........,;cldkO0KK0Okdoc::;;::cloodddoolc:;;;;;::ccllooo
+// .........',;:lodxOO0000Okdoc:,,',,;:clloddoolc:;,''.......'',;:clooollc:;;,,''.......',:ldkOKXNNXX0Oxdolllloddxxxxxxdolccccccllooodddd
+// . .....';:cldxkO0000Okxol:;,''',,;::cccc:;,,'.......'',;:cldxxkkxxdolc:;;,'.......';coxOKXNWWWNXKOkxddddxxkkkkkkxdoollllooddxxxxkkk
+// ....',;:codxkO000OOxdoc:;,''',,,;;;;,''.......',,;:clodkO00000Okxolc::;,,''..',;:ldxOKXNWWWNNK0OkkkkkkkkkkkxxddooooodxxkOOOOO000
+// ....',;;clodxkkOOOkkdolc:;,,,,,,,,'..........,;:clodxkO0KKXKK0Okxdolcc::;;,,,;;:codkO0XXNNNNXKK0OOOOOkkkkxxdoollloodxkO0KKKXXXXX
+//
+// VERSION: 1.0.1
+// https://github.com/Auburn/FastNoise
+
+#ifndef FASTNOISELITE_H
+#define FASTNOISELITE_H
+
+#include <cmath>
+
+namespace fastnoiselite{
+
+class FastNoiseLite
+{
+public:
+ enum NoiseType
+ {
+ NoiseType_OpenSimplex2,
+ NoiseType_OpenSimplex2S,
+ NoiseType_Cellular,
+ NoiseType_Perlin,
+ NoiseType_ValueCubic,
+ NoiseType_Value
+ };
+
+ enum RotationType3D
+ {
+ RotationType3D_None,
+ RotationType3D_ImproveXYPlanes,
+ RotationType3D_ImproveXZPlanes
+ };
+
+ enum FractalType
+ {
+ FractalType_None,
+ FractalType_FBm,
+ FractalType_Ridged,
+ FractalType_PingPong,
+ FractalType_DomainWarpProgressive,
+ FractalType_DomainWarpIndependent
+ };
+
+ enum CellularDistanceFunction
+ {
+ CellularDistanceFunction_Euclidean,
+ CellularDistanceFunction_EuclideanSq,
+ CellularDistanceFunction_Manhattan,
+ CellularDistanceFunction_Hybrid
+ };
+
+ enum CellularReturnType
+ {
+ CellularReturnType_CellValue,
+ CellularReturnType_Distance,
+ CellularReturnType_Distance2,
+ CellularReturnType_Distance2Add,
+ CellularReturnType_Distance2Sub,
+ CellularReturnType_Distance2Mul,
+ CellularReturnType_Distance2Div
+ };
+
+ enum DomainWarpType
+ {
+ DomainWarpType_OpenSimplex2,
+ DomainWarpType_OpenSimplex2Reduced,
+ DomainWarpType_BasicGrid
+ };
+
+ /// <summary>
+ /// Create new FastNoise object with optional seed
+ /// </summary>
+ FastNoiseLite(int seed = 1337)
+ {
+ mSeed = seed;
+ mFrequency = 0.01f;
+ mNoiseType = NoiseType_OpenSimplex2;
+ mRotationType3D = RotationType3D_None;
+ mTransformType3D = TransformType3D_DefaultOpenSimplex2;
+
+ mFractalType = FractalType_None;
+ mOctaves = 3;
+ mLacunarity = 2.0f;
+ mGain = 0.5f;
+ mWeightedStrength = 0.0f;
+ mPingPongStrength = 2.0f;
+
+ mFractalBounding = 1 / 1.75f;
+
+ mCellularDistanceFunction = CellularDistanceFunction_EuclideanSq;
+ mCellularReturnType = CellularReturnType_Distance;
+ mCellularJitterModifier = 1.0f;
+
+ mDomainWarpType = DomainWarpType_OpenSimplex2;
+ mWarpTransformType3D = TransformType3D_DefaultOpenSimplex2;
+ mDomainWarpAmp = 1.0f;
+ }
+
+ /// <summary>
+ /// Sets seed used for all noise types
+ /// </summary>
+ /// <remarks>
+ /// Default: 1337
+ /// </remarks>
+ void SetSeed(int seed) { mSeed = seed; }
+
+ /// <summary>
+ /// Sets frequency for all noise types
+ /// </summary>
+ /// <remarks>
+ /// Default: 0.01
+ /// </remarks>
+ void SetFrequency(float frequency) { mFrequency = frequency; }
+
+ /// <summary>
+ /// Sets noise algorithm used for GetNoise(...)
+ /// </summary>
+ /// <remarks>
+ /// Default: OpenSimplex2
+ /// </remarks>
+ void SetNoiseType(NoiseType noiseType)
+ {
+ mNoiseType = noiseType;
+ UpdateTransformType3D();
+ }
+
+ /// <summary>
+ /// Sets domain rotation type for 3D Noise and 3D DomainWarp.
+ /// Can aid in reducing directional artifacts when sampling a 2D plane in 3D
+ /// </summary>
+ /// <remarks>
+ /// Default: None
+ /// </remarks>
+ void SetRotationType3D(RotationType3D rotationType3D)
+ {
+ mRotationType3D = rotationType3D;
+ UpdateTransformType3D();
+ UpdateWarpTransformType3D();
+ }
+
+ /// <summary>
+ /// Sets method for combining octaves in all fractal noise types
+ /// </summary>
+ /// <remarks>
+ /// Default: None
+ /// Note: FractalType_DomainWarp... only affects DomainWarp(...)
+ /// </remarks>
+ void SetFractalType(FractalType fractalType) { mFractalType = fractalType; }
+
+ /// <summary>
+ /// Sets octave count for all fractal noise types
+ /// </summary>
+ /// <remarks>
+ /// Default: 3
+ /// </remarks>
+ void SetFractalOctaves(int octaves)
+ {
+ mOctaves = octaves;
+ CalculateFractalBounding();
+ }
+
+ /// <summary>
+ /// Sets octave lacunarity for all fractal noise types
+ /// </summary>
+ /// <remarks>
+ /// Default: 2.0
+ /// </remarks>
+ void SetFractalLacunarity(float lacunarity) { mLacunarity = lacunarity; }
+
+ /// <summary>
+ /// Sets octave gain for all fractal noise types
+ /// </summary>
+ /// <remarks>
+ /// Default: 0.5
+ /// </remarks>
+ void SetFractalGain(float gain)
+ {
+ mGain = gain;
+ CalculateFractalBounding();
+ }
+
+ /// <summary>
+ /// Sets octave weighting for all none DomainWarp fratal types
+ /// </summary>
+ /// <remarks>
+ /// Default: 0.0
+ /// Note: Keep between 0...1 to maintain -1...1 output bounding
+ /// </remarks>
+ void SetFractalWeightedStrength(float weightedStrength) { mWeightedStrength = weightedStrength; }
+
+ /// <summary>
+ /// Sets strength of the fractal ping pong effect
+ /// </summary>
+ /// <remarks>
+ /// Default: 2.0
+ /// </remarks>
+ void SetFractalPingPongStrength(float pingPongStrength) { mPingPongStrength = pingPongStrength; }
+
+
+ /// <summary>
+ /// Sets distance function used in cellular noise calculations
+ /// </summary>
+ /// <remarks>
+ /// Default: Distance
+ /// </remarks>
+ void SetCellularDistanceFunction(CellularDistanceFunction cellularDistanceFunction) { mCellularDistanceFunction = cellularDistanceFunction; }
+
+ /// <summary>
+ /// Sets return type from cellular noise calculations
+ /// </summary>
+ /// <remarks>
+ /// Default: EuclideanSq
+ /// </remarks>
+ void SetCellularReturnType(CellularReturnType cellularReturnType) { mCellularReturnType = cellularReturnType; }
+
+ /// <summary>
+ /// Sets the maximum distance a cellular point can move from it's grid position
+ /// </summary>
+ /// <remarks>
+ /// Default: 1.0
+ /// Note: Setting this higher than 1 will cause artifacts
+ /// </remarks>
+ void SetCellularJitter(float cellularJitter) { mCellularJitterModifier = cellularJitter; }
+
+
+ /// <summary>
+ /// Sets the warp algorithm when using DomainWarp(...)
+ /// </summary>
+ /// <remarks>
+ /// Default: OpenSimplex2
+ /// </remarks>
+ void SetDomainWarpType(DomainWarpType domainWarpType)
+ {
+ mDomainWarpType = domainWarpType;
+ UpdateWarpTransformType3D();
+ }
+
+
+ /// <summary>
+ /// Sets the maximum warp distance from original position when using DomainWarp(...)
+ /// </summary>
+ /// <remarks>
+ /// Default: 1.0
+ /// </remarks>
+ void SetDomainWarpAmp(float domainWarpAmp) { mDomainWarpAmp = domainWarpAmp; }
+
+
+ /// <summary>
+ /// 2D noise at given position using current settings
+ /// </summary>
+ /// <returns>
+ /// Noise output bounded between -1...1
+ /// </returns>
+ template <typename FNfloat>
+ float GetNoise(FNfloat x, FNfloat y)
+ {
+ Arguments_must_be_floating_point_values<FNfloat>();
+
+ TransformNoiseCoordinate(x, y);
+
+ switch (mFractalType)
+ {
+ default:
+ return GenNoiseSingle(mSeed, x, y);
+ case FractalType_FBm:
+ return GenFractalFBm(x, y);
+ case FractalType_Ridged:
+ return GenFractalRidged(x, y);
+ case FractalType_PingPong:
+ return GenFractalPingPong(x, y);
+ }
+ }
+
+ /// <summary>
+ /// 3D noise at given position using current settings
+ /// </summary>
+ /// <returns>
+ /// Noise output bounded between -1...1
+ /// </returns>
+ template <typename FNfloat>
+ float GetNoise(FNfloat x, FNfloat y, FNfloat z)
+ {
+ Arguments_must_be_floating_point_values<FNfloat>();
+
+ TransformNoiseCoordinate(x, y, z);
+
+ switch (mFractalType)
+ {
+ default:
+ return GenNoiseSingle(mSeed, x, y, z);
+ case FractalType_FBm:
+ return GenFractalFBm(x, y, z);
+ case FractalType_Ridged:
+ return GenFractalRidged(x, y, z);
+ case FractalType_PingPong:
+ return GenFractalPingPong(x, y, z);
+ }
+ }
+
+
+ /// <summary>
+ /// 2D warps the input position using current domain warp settings
+ /// </summary>
+ /// <example>
+ /// Example usage with GetNoise
+ /// <code>DomainWarp(x, y)
+ /// noise = GetNoise(x, y)</code>
+ /// </example>
+ template <typename FNfloat>
+ void DomainWarp(FNfloat& x, FNfloat& y)
+ {
+ Arguments_must_be_floating_point_values<FNfloat>();
+
+ switch (mFractalType)
+ {
+ default:
+ DomainWarpSingle(x, y);
+ break;
+ case FractalType_DomainWarpProgressive:
+ DomainWarpFractalProgressive(x, y);
+ break;
+ case FractalType_DomainWarpIndependent:
+ DomainWarpFractalIndependent(x, y);
+ break;
+ }
+ }
+
+ /// <summary>
+ /// 3D warps the input position using current domain warp settings
+ /// </summary>
+ /// <example>
+ /// Example usage with GetNoise
+ /// <code>DomainWarp(x, y, z)
+ /// noise = GetNoise(x, y, z)</code>
+ /// </example>
+ template <typename FNfloat>
+ void DomainWarp(FNfloat& x, FNfloat& y, FNfloat& z)
+ {
+ Arguments_must_be_floating_point_values<FNfloat>();
+
+ switch (mFractalType)
+ {
+ default:
+ DomainWarpSingle(x, y, z);
+ break;
+ case FractalType_DomainWarpProgressive:
+ DomainWarpFractalProgressive(x, y, z);
+ break;
+ case FractalType_DomainWarpIndependent:
+ DomainWarpFractalIndependent(x, y, z);
+ break;
+ }
+ }
+
+private:
+ template <typename T>
+ struct Arguments_must_be_floating_point_values;
+
+ enum TransformType3D
+ {
+ TransformType3D_None,
+ TransformType3D_ImproveXYPlanes,
+ TransformType3D_ImproveXZPlanes,
+ TransformType3D_DefaultOpenSimplex2
+ };
+
+ int mSeed;
+ float mFrequency;
+ NoiseType mNoiseType;
+ RotationType3D mRotationType3D;
+ TransformType3D mTransformType3D;
+
+ FractalType mFractalType;
+ int mOctaves;
+ float mLacunarity;
+ float mGain;
+ float mWeightedStrength;
+ float mPingPongStrength;
+
+ float mFractalBounding;
+
+ CellularDistanceFunction mCellularDistanceFunction;
+ CellularReturnType mCellularReturnType;
+ float mCellularJitterModifier;
+
+ DomainWarpType mDomainWarpType;
+ TransformType3D mWarpTransformType3D;
+ float mDomainWarpAmp;
+
+
+ template <typename T>
+ struct Lookup
+ {
+ static const T Gradients2D[];
+ static const T Gradients3D[];
+ static const T RandVecs2D[];
+ static const T RandVecs3D[];
+ };
+
+ static float FastMin(float a, float b) { return a < b ? a : b; }
+
+ static float FastMax(float a, float b) { return a > b ? a : b; }
+
+ static float FastAbs(float f) { return f < 0 ? -f : f; }
+
+ static float FastSqrt(float f) { return sqrtf(f); }
+
+ template <typename FNfloat>
+ static int FastFloor(FNfloat f) { return f >= 0 ? (int)f : (int)f - 1; }
+
+ template <typename FNfloat>
+ static int FastRound(FNfloat f) { return f >= 0 ? (int)(f + 0.5f) : (int)(f - 0.5f); }
+
+ static float Lerp(float a, float b, float t) { return a + t * (b - a); }
+
+ static float InterpHermite(float t) { return t * t * (3 - 2 * t); }
+
+ static float InterpQuintic(float t) { return t * t * t * (t * (t * 6 - 15) + 10); }
+
+ static float CubicLerp(float a, float b, float c, float d, float t)
+ {
+ float p = (d - c) - (a - b);
+ return t * t * t * p + t * t * ((a - b) - p) + t * (c - a) + b;
+ }
+
+ static float PingPong(float t)
+ {
+ t -= (int)(t * 0.5f) * 2;
+ return t < 1 ? t : 2 - t;
+ }
+
+ void CalculateFractalBounding()
+ {
+ float gain = FastAbs(mGain);
+ float amp = gain;
+ float ampFractal = 1.0f;
+ for (int i = 1; i < mOctaves; i++)
+ {
+ ampFractal += amp;
+ amp *= gain;
+ }
+ mFractalBounding = 1 / ampFractal;
+ }
+
+ // Hashing
+ static const int PrimeX = 501125321;
+ static const int PrimeY = 1136930381;
+ static const int PrimeZ = 1720413743;
+
+ static int Hash(int seed, int xPrimed, int yPrimed)
+ {
+ int hash = seed ^ xPrimed ^ yPrimed;
+
+ hash *= 0x27d4eb2d;
+ return hash;
+ }
+
+
+ static int Hash(int seed, int xPrimed, int yPrimed, int zPrimed)
+ {
+ int hash = seed ^ xPrimed ^ yPrimed ^ zPrimed;
+
+ hash *= 0x27d4eb2d;
+ return hash;
+ }
+
+
+ static float ValCoord(int seed, int xPrimed, int yPrimed)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed);
+
+ hash *= hash;
+ hash ^= hash << 19;
+ return hash * (1 / 2147483648.0f);
+ }
+
+
+ static float ValCoord(int seed, int xPrimed, int yPrimed, int zPrimed)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed, zPrimed);
+
+ hash *= hash;
+ hash ^= hash << 19;
+ return hash * (1 / 2147483648.0f);
+ }
+
+
+ float GradCoord(int seed, int xPrimed, int yPrimed, float xd, float yd)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed);
+ hash ^= hash >> 15;
+ hash &= 127 << 1;
+
+ float xg = Lookup<float>::Gradients2D[hash];
+ float yg = Lookup<float>::Gradients2D[hash | 1];
+
+ return xd * xg + yd * yg;
+ }
+
+
+ float GradCoord(int seed, int xPrimed, int yPrimed, int zPrimed, float xd, float yd, float zd)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed, zPrimed);
+ hash ^= hash >> 15;
+ hash &= 63 << 2;
+
+ float xg = Lookup<float>::Gradients3D[hash];
+ float yg = Lookup<float>::Gradients3D[hash | 1];
+ float zg = Lookup<float>::Gradients3D[hash | 2];
+
+ return xd * xg + yd * yg + zd * zg;
+ }
+
+
+ void GradCoordOut(int seed, int xPrimed, int yPrimed, float& xo, float& yo)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed) & (255 << 1);
+
+ xo = Lookup<float>::RandVecs2D[hash];
+ yo = Lookup<float>::RandVecs2D[hash | 1];
+ }
+
+
+ void GradCoordOut(int seed, int xPrimed, int yPrimed, int zPrimed, float& xo, float& yo, float& zo)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed, zPrimed) & (255 << 2);
+
+ xo = Lookup<float>::RandVecs3D[hash];
+ yo = Lookup<float>::RandVecs3D[hash | 1];
+ zo = Lookup<float>::RandVecs3D[hash | 2];
+ }
+
+
+ void GradCoordDual(int seed, int xPrimed, int yPrimed, float xd, float yd, float& xo, float& yo)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed);
+ int index1 = hash & (127 << 1);
+ int index2 = (hash >> 7) & (255 << 1);
+
+ float xg = Lookup<float>::Gradients2D[index1];
+ float yg = Lookup<float>::Gradients2D[index1 | 1];
+ float value = xd * xg + yd * yg;
+
+ float xgo = Lookup<float>::RandVecs2D[index2];
+ float ygo = Lookup<float>::RandVecs2D[index2 | 1];
+
+ xo = value * xgo;
+ yo = value * ygo;
+ }
+
+
+ void GradCoordDual(int seed, int xPrimed, int yPrimed, int zPrimed, float xd, float yd, float zd, float& xo, float& yo, float& zo)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed, zPrimed);
+ int index1 = hash & (63 << 2);
+ int index2 = (hash >> 6) & (255 << 2);
+
+ float xg = Lookup<float>::Gradients3D[index1];
+ float yg = Lookup<float>::Gradients3D[index1 | 1];
+ float zg = Lookup<float>::Gradients3D[index1 | 2];
+ float value = xd * xg + yd * yg + zd * zg;
+
+ float xgo = Lookup<float>::RandVecs3D[index2];
+ float ygo = Lookup<float>::RandVecs3D[index2 | 1];
+ float zgo = Lookup<float>::RandVecs3D[index2 | 2];
+
+ xo = value * xgo;
+ yo = value * ygo;
+ zo = value * zgo;
+ }
+
+
+ // Generic noise gen
+
+ template <typename FNfloat>
+ float GenNoiseSingle(int seed, FNfloat x, FNfloat y)
+ {
+ switch (mNoiseType)
+ {
+ case NoiseType_OpenSimplex2:
+ return SingleSimplex(seed, x, y);
+ case NoiseType_OpenSimplex2S:
+ return SingleOpenSimplex2S(seed, x, y);
+ case NoiseType_Cellular:
+ return SingleCellular(seed, x, y);
+ case NoiseType_Perlin:
+ return SinglePerlin(seed, x, y);
+ case NoiseType_ValueCubic:
+ return SingleValueCubic(seed, x, y);
+ case NoiseType_Value:
+ return SingleValue(seed, x, y);
+ default:
+ return 0;
+ }
+ }
+
+ template <typename FNfloat>
+ float GenNoiseSingle(int seed, FNfloat x, FNfloat y, FNfloat z)
+ {
+ switch (mNoiseType)
+ {
+ case NoiseType_OpenSimplex2:
+ return SingleOpenSimplex2(seed, x, y, z);
+ case NoiseType_OpenSimplex2S:
+ return SingleOpenSimplex2S(seed, x, y, z);
+ case NoiseType_Cellular:
+ return SingleCellular(seed, x, y, z);
+ case NoiseType_Perlin:
+ return SinglePerlin(seed, x, y, z);
+ case NoiseType_ValueCubic:
+ return SingleValueCubic(seed, x, y, z);
+ case NoiseType_Value:
+ return SingleValue(seed, x, y, z);
+ default:
+ return 0;
+ }
+ }
+
+
+ // Noise Coordinate Transforms (frequency, and possible skew or rotation)
+
+ template <typename FNfloat>
+ void TransformNoiseCoordinate(FNfloat& x, FNfloat& y)
+ {
+ x *= mFrequency;
+ y *= mFrequency;
+
+ switch (mNoiseType)
+ {
+ case NoiseType_OpenSimplex2:
+ case NoiseType_OpenSimplex2S:
+ {
+ const FNfloat SQRT3 = (FNfloat)1.7320508075688772935274463415059;
+ const FNfloat F2 = 0.5f * (SQRT3 - 1);
+ FNfloat t = (x + y) * F2;
+ x += t;
+ y += t;
+ }
+ break;
+ default:
+ break;
+ }
+ }
+
+ template <typename FNfloat>
+ void TransformNoiseCoordinate(FNfloat& x, FNfloat& y, FNfloat& z)
+ {
+ x *= mFrequency;
+ y *= mFrequency;
+ z *= mFrequency;
+
+ switch (mTransformType3D)
+ {
+ case TransformType3D_ImproveXYPlanes:
+ {
+ FNfloat xy = x + y;
+ FNfloat s2 = xy * -(FNfloat)0.211324865405187;
+ z *= (FNfloat)0.577350269189626;
+ x += s2 - z;
+ y = y + s2 - z;
+ z += xy * (FNfloat)0.577350269189626;
+ }
+ break;
+ case TransformType3D_ImproveXZPlanes:
+ {
+ FNfloat xz = x + z;
+ FNfloat s2 = xz * -(FNfloat)0.211324865405187;
+ y *= (FNfloat)0.577350269189626;
+ x += s2 - y;
+ z += s2 - y;
+ y += xz * (FNfloat)0.577350269189626;
+ }
+ break;
+ case TransformType3D_DefaultOpenSimplex2:
+ {
+ const FNfloat R3 = (FNfloat)(2.0 / 3.0);
+ FNfloat r = (x + y + z) * R3; // Rotation, not skew
+ x = r - x;
+ y = r - y;
+ z = r - z;
+ }
+ break;
+ default:
+ break;
+ }
+ }
+
+ void UpdateTransformType3D()
+ {
+ switch (mRotationType3D)
+ {
+ case RotationType3D_ImproveXYPlanes:
+ mTransformType3D = TransformType3D_ImproveXYPlanes;
+ break;
+ case RotationType3D_ImproveXZPlanes:
+ mTransformType3D = TransformType3D_ImproveXZPlanes;
+ break;
+ default:
+ switch (mNoiseType)
+ {
+ case NoiseType_OpenSimplex2:
+ case NoiseType_OpenSimplex2S:
+ mTransformType3D = TransformType3D_DefaultOpenSimplex2;
+ break;
+ default:
+ mTransformType3D = TransformType3D_None;
+ break;
+ }
+ break;
+ }
+ }
+
+
+ // Domain Warp Coordinate Transforms
+
+ template <typename FNfloat>
+ void TransformDomainWarpCoordinate(FNfloat& x, FNfloat& y)
+ {
+ switch (mDomainWarpType)
+ {
+ case DomainWarpType_OpenSimplex2:
+ case DomainWarpType_OpenSimplex2Reduced:
+ {
+ const FNfloat SQRT3 = (FNfloat)1.7320508075688772935274463415059;
+ const FNfloat F2 = 0.5f * (SQRT3 - 1);
+ FNfloat t = (x + y) * F2;
+ x += t;
+ y += t;
+ }
+ break;
+ default:
+ break;
+ }
+ }
+
+ template <typename FNfloat>
+ void TransformDomainWarpCoordinate(FNfloat& x, FNfloat& y, FNfloat& z)
+ {
+ switch (mWarpTransformType3D)
+ {
+ case TransformType3D_ImproveXYPlanes:
+ {
+ FNfloat xy = x + y;
+ FNfloat s2 = xy * -(FNfloat)0.211324865405187;
+ z *= (FNfloat)0.577350269189626;
+ x += s2 - z;
+ y = y + s2 - z;
+ z += xy * (FNfloat)0.577350269189626;
+ }
+ break;
+ case TransformType3D_ImproveXZPlanes:
+ {
+ FNfloat xz = x + z;
+ FNfloat s2 = xz * -(FNfloat)0.211324865405187;
+ y *= (FNfloat)0.577350269189626;
+ x += s2 - y;
+ z += s2 - y;
+ y += xz * (FNfloat)0.577350269189626;
+ }
+ break;
+ case TransformType3D_DefaultOpenSimplex2:
+ {
+ const FNfloat R3 = (FNfloat)(2.0 / 3.0);
+ FNfloat r = (x + y + z) * R3; // Rotation, not skew
+ x = r - x;
+ y = r - y;
+ z = r - z;
+ }
+ break;
+ default:
+ break;
+ }
+ }
+
+ void UpdateWarpTransformType3D()
+ {
+ switch (mRotationType3D)
+ {
+ case RotationType3D_ImproveXYPlanes:
+ mWarpTransformType3D = TransformType3D_ImproveXYPlanes;
+ break;
+ case RotationType3D_ImproveXZPlanes:
+ mWarpTransformType3D = TransformType3D_ImproveXZPlanes;
+ break;
+ default:
+ switch (mDomainWarpType)
+ {
+ case DomainWarpType_OpenSimplex2:
+ case DomainWarpType_OpenSimplex2Reduced:
+ mWarpTransformType3D = TransformType3D_DefaultOpenSimplex2;
+ break;
+ default:
+ mWarpTransformType3D = TransformType3D_None;
+ break;
+ }
+ break;
+ }
+ }
+
+
+ // Fractal FBm
+
+ template <typename FNfloat>
+ float GenFractalFBm(FNfloat x, FNfloat y)
+ {
+ int seed = mSeed;
+ float sum = 0;
+ float amp = mFractalBounding;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ float noise = GenNoiseSingle(seed++, x, y);
+ sum += noise * amp;
+ amp *= Lerp(1.0f, FastMin(noise + 1, 2) * 0.5f, mWeightedStrength);
+
+ x *= mLacunarity;
+ y *= mLacunarity;
+ amp *= mGain;
+ }
+
+ return sum;
+ }
+
+ template <typename FNfloat>
+ float GenFractalFBm(FNfloat x, FNfloat y, FNfloat z)
+ {
+ int seed = mSeed;
+ float sum = 0;
+ float amp = mFractalBounding;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ float noise = GenNoiseSingle(seed++, x, y, z);
+ sum += noise * amp;
+ amp *= Lerp(1.0f, (noise + 1) * 0.5f, mWeightedStrength);
+
+ x *= mLacunarity;
+ y *= mLacunarity;
+ z *= mLacunarity;
+ amp *= mGain;
+ }
+
+ return sum;
+ }
+
+
+ // Fractal Ridged
+
+ template <typename FNfloat>
+ float GenFractalRidged(FNfloat x, FNfloat y)
+ {
+ int seed = mSeed;
+ float sum = 0;
+ float amp = mFractalBounding;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ float noise = FastAbs(GenNoiseSingle(seed++, x, y));
+ sum += (noise * -2 + 1) * amp;
+ amp *= Lerp(1.0f, 1 - noise, mWeightedStrength);
+
+ x *= mLacunarity;
+ y *= mLacunarity;
+ amp *= mGain;
+ }
+
+ return sum;
+ }
+
+ template <typename FNfloat>
+ float GenFractalRidged(FNfloat x, FNfloat y, FNfloat z)
+ {
+ int seed = mSeed;
+ float sum = 0;
+ float amp = mFractalBounding;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ float noise = FastAbs(GenNoiseSingle(seed++, x, y, z));
+ sum += (noise * -2 + 1) * amp;
+ amp *= Lerp(1.0f, 1 - noise, mWeightedStrength);
+
+ x *= mLacunarity;
+ y *= mLacunarity;
+ z *= mLacunarity;
+ amp *= mGain;
+ }
+
+ return sum;
+ }
+
+
+ // Fractal PingPong
+
+ template <typename FNfloat>
+ float GenFractalPingPong(FNfloat x, FNfloat y)
+ {
+ int seed = mSeed;
+ float sum = 0;
+ float amp = mFractalBounding;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ float noise = PingPong((GenNoiseSingle(seed++, x, y) + 1) * mPingPongStrength);
+ sum += (noise - 0.5f) * 2 * amp;
+ amp *= Lerp(1.0f, noise, mWeightedStrength);
+
+ x *= mLacunarity;
+ y *= mLacunarity;
+ amp *= mGain;
+ }
+
+ return sum;
+ }
+
+ template <typename FNfloat>
+ float GenFractalPingPong(FNfloat x, FNfloat y, FNfloat z)
+ {
+ int seed = mSeed;
+ float sum = 0;
+ float amp = mFractalBounding;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ float noise = PingPong((GenNoiseSingle(seed++, x, y, z) + 1) * mPingPongStrength);
+ sum += (noise - 0.5f) * 2 * amp;
+ amp *= Lerp(1.0f, noise, mWeightedStrength);
+
+ x *= mLacunarity;
+ y *= mLacunarity;
+ z *= mLacunarity;
+ amp *= mGain;
+ }
+
+ return sum;
+ }
+
+
+ // Simplex/OpenSimplex2 Noise
+
+ template <typename FNfloat>
+ float SingleSimplex(int seed, FNfloat x, FNfloat y)
+ {
+ // 2D OpenSimplex2 case uses the same algorithm as ordinary Simplex.
+
+ const float SQRT3 = 1.7320508075688772935274463415059f;
+ const float G2 = (3 - SQRT3) / 6;
+
+ /*
+ * --- Skew moved to TransformNoiseCoordinate method ---
+ * const FNfloat F2 = 0.5f * (SQRT3 - 1);
+ * FNfloat s = (x + y) * F2;
+ * x += s; y += s;
+ */
+
+ int i = FastFloor(x);
+ int j = FastFloor(y);
+ float xi = (float)(x - i);
+ float yi = (float)(y - j);
+
+ float t = (xi + yi) * G2;
+ float x0 = (float)(xi - t);
+ float y0 = (float)(yi - t);
+
+ i *= PrimeX;
+ j *= PrimeY;
+
+ float n0, n1, n2;
+
+ float a = 0.5f - x0 * x0 - y0 * y0;
+ if (a <= 0) n0 = 0;
+ else
+ {
+ n0 = (a * a) * (a * a) * GradCoord(seed, i, j, x0, y0);
+ }
+
+ float c = (float)(2 * (1 - 2 * G2) * (1 / G2 - 2)) * t + ((float)(-2 * (1 - 2 * G2) * (1 - 2 * G2)) + a);
+ if (c <= 0) n2 = 0;
+ else
+ {
+ float x2 = x0 + (2 * (float)G2 - 1);
+ float y2 = y0 + (2 * (float)G2 - 1);
+ n2 = (c * c) * (c * c) * GradCoord(seed, i + PrimeX, j + PrimeY, x2, y2);
+ }
+
+ if (y0 > x0)
+ {
+ float x1 = x0 + (float)G2;
+ float y1 = y0 + ((float)G2 - 1);
+ float b = 0.5f - x1 * x1 - y1 * y1;
+ if (b <= 0) n1 = 0;
+ else
+ {
+ n1 = (b * b) * (b * b) * GradCoord(seed, i, j + PrimeY, x1, y1);
+ }
+ }
+ else
+ {
+ float x1 = x0 + ((float)G2 - 1);
+ float y1 = y0 + (float)G2;
+ float b = 0.5f - x1 * x1 - y1 * y1;
+ if (b <= 0) n1 = 0;
+ else
+ {
+ n1 = (b * b) * (b * b) * GradCoord(seed, i + PrimeX, j, x1, y1);
+ }
+ }
+
+ return (n0 + n1 + n2) * 99.83685446303647f;
+ }
+
+ template <typename FNfloat>
+ float SingleOpenSimplex2(int seed, FNfloat x, FNfloat y, FNfloat z)
+ {
+ // 3D OpenSimplex2 case uses two offset rotated cube grids.
+
+ /*
+ * --- Rotation moved to TransformNoiseCoordinate method ---
+ * const FNfloat R3 = (FNfloat)(2.0 / 3.0);
+ * FNfloat r = (x + y + z) * R3; // Rotation, not skew
+ * x = r - x; y = r - y; z = r - z;
+ */
+
+ int i = FastRound(x);
+ int j = FastRound(y);
+ int k = FastRound(z);
+ float x0 = (float)(x - i);
+ float y0 = (float)(y - j);
+ float z0 = (float)(z - k);
+
+ int xNSign = (int)(-1.0f - x0) | 1;
+ int yNSign = (int)(-1.0f - y0) | 1;
+ int zNSign = (int)(-1.0f - z0) | 1;
+
+ float ax0 = xNSign * -x0;
+ float ay0 = yNSign * -y0;
+ float az0 = zNSign * -z0;
+
+ i *= PrimeX;
+ j *= PrimeY;
+ k *= PrimeZ;
+
+ float value = 0;
+ float a = (0.6f - x0 * x0) - (y0 * y0 + z0 * z0);
+
+ for (int l = 0; ; l++)
+ {
+ if (a > 0)
+ {
+ value += (a * a) * (a * a) * GradCoord(seed, i, j, k, x0, y0, z0);
+ }
+
+ float b = a + 1;
+ int i1 = i;
+ int j1 = j;
+ int k1 = k;
+ float x1 = x0;
+ float y1 = y0;
+ float z1 = z0;
+
+ if (ax0 >= ay0 && ax0 >= az0)
+ {
+ x1 += xNSign;
+ b -= xNSign * 2 * x1;
+ i1 -= xNSign * PrimeX;
+ }
+ else if (ay0 > ax0 && ay0 >= az0)
+ {
+ y1 += yNSign;
+ b -= yNSign * 2 * y1;
+ j1 -= yNSign * PrimeY;
+ }
+ else
+ {
+ z1 += zNSign;
+ b -= zNSign * 2 * z1;
+ k1 -= zNSign * PrimeZ;
+ }
+
+ if (b > 0)
+ {
+ value += (b * b) * (b * b) * GradCoord(seed, i1, j1, k1, x1, y1, z1);
+ }
+
+ if (l == 1) break;
+
+ ax0 = 0.5f - ax0;
+ ay0 = 0.5f - ay0;
+ az0 = 0.5f - az0;
+
+ x0 = xNSign * ax0;
+ y0 = yNSign * ay0;
+ z0 = zNSign * az0;
+
+ a += (0.75f - ax0) - (ay0 + az0);
+
+ i += (xNSign >> 1) & PrimeX;
+ j += (yNSign >> 1) & PrimeY;
+ k += (zNSign >> 1) & PrimeZ;
+
+ xNSign = -xNSign;
+ yNSign = -yNSign;
+ zNSign = -zNSign;
+
+ seed = ~seed;
+ }
+
+ return value * 32.69428253173828125f;
+ }
+
+
+ // OpenSimplex2S Noise
+
+ template <typename FNfloat>
+ float SingleOpenSimplex2S(int seed, FNfloat x, FNfloat y)
+ {
+ // 2D OpenSimplex2S case is a modified 2D simplex noise.
+
+ const FNfloat SQRT3 = (FNfloat)1.7320508075688772935274463415059;
+ const FNfloat G2 = (3 - SQRT3) / 6;
+
+ /*
+ * --- Skew moved to TransformNoiseCoordinate method ---
+ * const FNfloat F2 = 0.5f * (SQRT3 - 1);
+ * FNfloat s = (x + y) * F2;
+ * x += s; y += s;
+ */
+
+ int i = FastFloor(x);
+ int j = FastFloor(y);
+ float xi = (float)(x - i);
+ float yi = (float)(y - j);
+
+ i *= PrimeX;
+ j *= PrimeY;
+ int i1 = i + PrimeX;
+ int j1 = j + PrimeY;
+
+ float t = (xi + yi) * (float)G2;
+ float x0 = xi - t;
+ float y0 = yi - t;
+
+ float a0 = (2.0f / 3.0f) - x0 * x0 - y0 * y0;
+ float value = (a0 * a0) * (a0 * a0) * GradCoord(seed, i, j, x0, y0);
+
+ float a1 = (float)(2 * (1 - 2 * G2) * (1 / G2 - 2)) * t + ((float)(-2 * (1 - 2 * G2) * (1 - 2 * G2)) + a0);
+ float x1 = x0 - (float)(1 - 2 * G2);
+ float y1 = y0 - (float)(1 - 2 * G2);
+ value += (a1 * a1) * (a1 * a1) * GradCoord(seed, i1, j1, x1, y1);
+
+ // Nested conditionals were faster than compact bit logic/arithmetic.
+ float xmyi = xi - yi;
+ if (t > G2)
+ {
+ if (xi + xmyi > 1)
+ {
+ float x2 = x0 + (float)(3 * G2 - 2);
+ float y2 = y0 + (float)(3 * G2 - 1);
+ float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
+ if (a2 > 0)
+ {
+ value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i + (PrimeX << 1), j + PrimeY, x2, y2);
+ }
+ }
+ else
+ {
+ float x2 = x0 + (float)G2;
+ float y2 = y0 + (float)(G2 - 1);
+ float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
+ if (a2 > 0)
+ {
+ value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i, j + PrimeY, x2, y2);
+ }
+ }
+
+ if (yi - xmyi > 1)
+ {
+ float x3 = x0 + (float)(3 * G2 - 1);
+ float y3 = y0 + (float)(3 * G2 - 2);
+ float a3 = (2.0f / 3.0f) - x3 * x3 - y3 * y3;
+ if (a3 > 0)
+ {
+ value += (a3 * a3) * (a3 * a3) * GradCoord(seed, i + PrimeX, j + (PrimeY << 1), x3, y3);
+ }
+ }
+ else
+ {
+ float x3 = x0 + (float)(G2 - 1);
+ float y3 = y0 + (float)G2;
+ float a3 = (2.0f / 3.0f) - x3 * x3 - y3 * y3;
+ if (a3 > 0)
+ {
+ value += (a3 * a3) * (a3 * a3) * GradCoord(seed, i + PrimeX, j, x3, y3);
+ }
+ }
+ }
+ else
+ {
+ if (xi + xmyi < 0)
+ {
+ float x2 = x0 + (float)(1 - G2);
+ float y2 = y0 - (float)G2;
+ float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
+ if (a2 > 0)
+ {
+ value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i - PrimeX, j, x2, y2);
+ }
+ }
+ else
+ {
+ float x2 = x0 + (float)(G2 - 1);
+ float y2 = y0 + (float)G2;
+ float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
+ if (a2 > 0)
+ {
+ value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i + PrimeX, j, x2, y2);
+ }
+ }
+
+ if (yi < xmyi)
+ {
+ float x2 = x0 - (float)G2;
+ float y2 = y0 - (float)(G2 - 1);
+ float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
+ if (a2 > 0)
+ {
+ value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i, j - PrimeY, x2, y2);
+ }
+ }
+ else
+ {
+ float x2 = x0 + (float)G2;
+ float y2 = y0 + (float)(G2 - 1);
+ float a2 = (2.0f / 3.0f) - x2 * x2 - y2 * y2;
+ if (a2 > 0)
+ {
+ value += (a2 * a2) * (a2 * a2) * GradCoord(seed, i, j + PrimeY, x2, y2);
+ }
+ }
+ }
+
+ return value * 18.24196194486065f;
+ }
+
+ template <typename FNfloat>
+ float SingleOpenSimplex2S(int seed, FNfloat x, FNfloat y, FNfloat z)
+ {
+ // 3D OpenSimplex2S case uses two offset rotated cube grids.
+
+ /*
+ * --- Rotation moved to TransformNoiseCoordinate method ---
+ * const FNfloat R3 = (FNfloat)(2.0 / 3.0);
+ * FNfloat r = (x + y + z) * R3; // Rotation, not skew
+ * x = r - x; y = r - y; z = r - z;
+ */
+
+ int i = FastFloor(x);
+ int j = FastFloor(y);
+ int k = FastFloor(z);
+ float xi = (float)(x - i);
+ float yi = (float)(y - j);
+ float zi = (float)(z - k);
+
+ i *= PrimeX;
+ j *= PrimeY;
+ k *= PrimeZ;
+ int seed2 = seed + 1293373;
+
+ int xNMask = (int)(-0.5f - xi);
+ int yNMask = (int)(-0.5f - yi);
+ int zNMask = (int)(-0.5f - zi);
+
+ float x0 = xi + xNMask;
+ float y0 = yi + yNMask;
+ float z0 = zi + zNMask;
+ float a0 = 0.75f - x0 * x0 - y0 * y0 - z0 * z0;
+ float value = (a0 * a0) * (a0 * a0) * GradCoord(seed,
+ i + (xNMask & PrimeX), j + (yNMask & PrimeY), k + (zNMask & PrimeZ), x0, y0, z0);
+
+ float x1 = xi - 0.5f;
+ float y1 = yi - 0.5f;
+ float z1 = zi - 0.5f;
+ float a1 = 0.75f - x1 * x1 - y1 * y1 - z1 * z1;
+ value += (a1 * a1) * (a1 * a1) * GradCoord(seed2,
+ i + PrimeX, j + PrimeY, k + PrimeZ, x1, y1, z1);
+
+ float xAFlipMask0 = ((xNMask | 1) << 1) * x1;
+ float yAFlipMask0 = ((yNMask | 1) << 1) * y1;
+ float zAFlipMask0 = ((zNMask | 1) << 1) * z1;
+ float xAFlipMask1 = (-2 - (xNMask << 2)) * x1 - 1.0f;
+ float yAFlipMask1 = (-2 - (yNMask << 2)) * y1 - 1.0f;
+ float zAFlipMask1 = (-2 - (zNMask << 2)) * z1 - 1.0f;
+
+ bool skip5 = false;
+ float a2 = xAFlipMask0 + a0;
+ if (a2 > 0)
+ {
+ float x2 = x0 - (xNMask | 1);
+ float y2 = y0;
+ float z2 = z0;
+ value += (a2 * a2) * (a2 * a2) * GradCoord(seed,
+ i + (~xNMask & PrimeX), j + (yNMask & PrimeY), k + (zNMask & PrimeZ), x2, y2, z2);
+ }
+ else
+ {
+ float a3 = yAFlipMask0 + zAFlipMask0 + a0;
+ if (a3 > 0)
+ {
+ float x3 = x0;
+ float y3 = y0 - (yNMask | 1);
+ float z3 = z0 - (zNMask | 1);
+ value += (a3 * a3) * (a3 * a3) * GradCoord(seed,
+ i + (xNMask & PrimeX), j + (~yNMask & PrimeY), k + (~zNMask & PrimeZ), x3, y3, z3);
+ }
+
+ float a4 = xAFlipMask1 + a1;
+ if (a4 > 0)
+ {
+ float x4 = (xNMask | 1) + x1;
+ float y4 = y1;
+ float z4 = z1;
+ value += (a4 * a4) * (a4 * a4) * GradCoord(seed2,
+ i + (xNMask & (PrimeX * 2)), j + PrimeY, k + PrimeZ, x4, y4, z4);
+ skip5 = true;
+ }
+ }
+
+ bool skip9 = false;
+ float a6 = yAFlipMask0 + a0;
+ if (a6 > 0)
+ {
+ float x6 = x0;
+ float y6 = y0 - (yNMask | 1);
+ float z6 = z0;
+ value += (a6 * a6) * (a6 * a6) * GradCoord(seed,
+ i + (xNMask & PrimeX), j + (~yNMask & PrimeY), k + (zNMask & PrimeZ), x6, y6, z6);
+ }
+ else
+ {
+ float a7 = xAFlipMask0 + zAFlipMask0 + a0;
+ if (a7 > 0)
+ {
+ float x7 = x0 - (xNMask | 1);
+ float y7 = y0;
+ float z7 = z0 - (zNMask | 1);
+ value += (a7 * a7) * (a7 * a7) * GradCoord(seed,
+ i + (~xNMask & PrimeX), j + (yNMask & PrimeY), k + (~zNMask & PrimeZ), x7, y7, z7);
+ }
+
+ float a8 = yAFlipMask1 + a1;
+ if (a8 > 0)
+ {
+ float x8 = x1;
+ float y8 = (yNMask | 1) + y1;
+ float z8 = z1;
+ value += (a8 * a8) * (a8 * a8) * GradCoord(seed2,
+ i + PrimeX, j + (yNMask & (PrimeY << 1)), k + PrimeZ, x8, y8, z8);
+ skip9 = true;
+ }
+ }
+
+ bool skipD = false;
+ float aA = zAFlipMask0 + a0;
+ if (aA > 0)
+ {
+ float xA = x0;
+ float yA = y0;
+ float zA = z0 - (zNMask | 1);
+ value += (aA * aA) * (aA * aA) * GradCoord(seed,
+ i + (xNMask & PrimeX), j + (yNMask & PrimeY), k + (~zNMask & PrimeZ), xA, yA, zA);
+ }
+ else
+ {
+ float aB = xAFlipMask0 + yAFlipMask0 + a0;
+ if (aB > 0)
+ {
+ float xB = x0 - (xNMask | 1);
+ float yB = y0 - (yNMask | 1);
+ float zB = z0;
+ value += (aB * aB) * (aB * aB) * GradCoord(seed,
+ i + (~xNMask & PrimeX), j + (~yNMask & PrimeY), k + (zNMask & PrimeZ), xB, yB, zB);
+ }
+
+ float aC = zAFlipMask1 + a1;
+ if (aC > 0)
+ {
+ float xC = x1;
+ float yC = y1;
+ float zC = (zNMask | 1) + z1;
+ value += (aC * aC) * (aC * aC) * GradCoord(seed2,
+ i + PrimeX, j + PrimeY, k + (zNMask & (PrimeZ << 1)), xC, yC, zC);
+ skipD = true;
+ }
+ }
+
+ if (!skip5)
+ {
+ float a5 = yAFlipMask1 + zAFlipMask1 + a1;
+ if (a5 > 0)
+ {
+ float x5 = x1;
+ float y5 = (yNMask | 1) + y1;
+ float z5 = (zNMask | 1) + z1;
+ value += (a5 * a5) * (a5 * a5) * GradCoord(seed2,
+ i + PrimeX, j + (yNMask & (PrimeY << 1)), k + (zNMask & (PrimeZ << 1)), x5, y5, z5);
+ }
+ }
+
+ if (!skip9)
+ {
+ float a9 = xAFlipMask1 + zAFlipMask1 + a1;
+ if (a9 > 0)
+ {
+ float x9 = (xNMask | 1) + x1;
+ float y9 = y1;
+ float z9 = (zNMask | 1) + z1;
+ value += (a9 * a9) * (a9 * a9) * GradCoord(seed2,
+ i + (xNMask & (PrimeX * 2)), j + PrimeY, k + (zNMask & (PrimeZ << 1)), x9, y9, z9);
+ }
+ }
+
+ if (!skipD)
+ {
+ float aD = xAFlipMask1 + yAFlipMask1 + a1;
+ if (aD > 0)
+ {
+ float xD = (xNMask | 1) + x1;
+ float yD = (yNMask | 1) + y1;
+ float zD = z1;
+ value += (aD * aD) * (aD * aD) * GradCoord(seed2,
+ i + (xNMask & (PrimeX << 1)), j + (yNMask & (PrimeY << 1)), k + PrimeZ, xD, yD, zD);
+ }
+ }
+
+ return value * 9.046026385208288f;
+ }
+
+
+ // Cellular Noise
+
+ template <typename FNfloat>
+ float SingleCellular(int seed, FNfloat x, FNfloat y)
+ {
+ int xr = FastRound(x);
+ int yr = FastRound(y);
+
+ float distance0 = 1e10f;
+ float distance1 = 1e10f;
+ int closestHash = 0;
+
+ float cellularJitter = 0.43701595f * mCellularJitterModifier;
+
+ int xPrimed = (xr - 1) * PrimeX;
+ int yPrimedBase = (yr - 1) * PrimeY;
+
+ switch (mCellularDistanceFunction)
+ {
+ default:
+ case CellularDistanceFunction_Euclidean:
+ case CellularDistanceFunction_EuclideanSq:
+ for (int xi = xr - 1; xi <= xr + 1; xi++)
+ {
+ int yPrimed = yPrimedBase;
+
+ for (int yi = yr - 1; yi <= yr + 1; yi++)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed);
+ int idx = hash & (255 << 1);
+
+ float vecX = (float)(xi - x) + Lookup<float>::RandVecs2D[idx] * cellularJitter;
+ float vecY = (float)(yi - y) + Lookup<float>::RandVecs2D[idx | 1] * cellularJitter;
+
+ float newDistance = vecX * vecX + vecY * vecY;
+
+ distance1 = FastMax(FastMin(distance1, newDistance), distance0);
+ if (newDistance < distance0)
+ {
+ distance0 = newDistance;
+ closestHash = hash;
+ }
+ yPrimed += PrimeY;
+ }
+ xPrimed += PrimeX;
+ }
+ break;
+ case CellularDistanceFunction_Manhattan:
+ for (int xi = xr - 1; xi <= xr + 1; xi++)
+ {
+ int yPrimed = yPrimedBase;
+
+ for (int yi = yr - 1; yi <= yr + 1; yi++)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed);
+ int idx = hash & (255 << 1);
+
+ float vecX = (float)(xi - x) + Lookup<float>::RandVecs2D[idx] * cellularJitter;
+ float vecY = (float)(yi - y) + Lookup<float>::RandVecs2D[idx | 1] * cellularJitter;
+
+ float newDistance = FastAbs(vecX) + FastAbs(vecY);
+
+ distance1 = FastMax(FastMin(distance1, newDistance), distance0);
+ if (newDistance < distance0)
+ {
+ distance0 = newDistance;
+ closestHash = hash;
+ }
+ yPrimed += PrimeY;
+ }
+ xPrimed += PrimeX;
+ }
+ break;
+ case CellularDistanceFunction_Hybrid:
+ for (int xi = xr - 1; xi <= xr + 1; xi++)
+ {
+ int yPrimed = yPrimedBase;
+
+ for (int yi = yr - 1; yi <= yr + 1; yi++)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed);
+ int idx = hash & (255 << 1);
+
+ float vecX = (float)(xi - x) + Lookup<float>::RandVecs2D[idx] * cellularJitter;
+ float vecY = (float)(yi - y) + Lookup<float>::RandVecs2D[idx | 1] * cellularJitter;
+
+ float newDistance = (FastAbs(vecX) + FastAbs(vecY)) + (vecX * vecX + vecY * vecY);
+
+ distance1 = FastMax(FastMin(distance1, newDistance), distance0);
+ if (newDistance < distance0)
+ {
+ distance0 = newDistance;
+ closestHash = hash;
+ }
+ yPrimed += PrimeY;
+ }
+ xPrimed += PrimeX;
+ }
+ break;
+ }
+
+ if (mCellularDistanceFunction == CellularDistanceFunction_Euclidean && mCellularReturnType >= CellularReturnType_Distance)
+ {
+ distance0 = FastSqrt(distance0);
+
+ if (mCellularReturnType >= CellularReturnType_Distance2)
+ {
+ distance1 = FastSqrt(distance1);
+ }
+ }
+
+ switch (mCellularReturnType)
+ {
+ case CellularReturnType_CellValue:
+ return closestHash * (1 / 2147483648.0f);
+ case CellularReturnType_Distance:
+ return distance0 - 1;
+ case CellularReturnType_Distance2:
+ return distance1 - 1;
+ case CellularReturnType_Distance2Add:
+ return (distance1 + distance0) * 0.5f - 1;
+ case CellularReturnType_Distance2Sub:
+ return distance1 - distance0 - 1;
+ case CellularReturnType_Distance2Mul:
+ return distance1 * distance0 * 0.5f - 1;
+ case CellularReturnType_Distance2Div:
+ return distance0 / distance1 - 1;
+ default:
+ return 0;
+ }
+ }
+
+ template <typename FNfloat>
+ float SingleCellular(int seed, FNfloat x, FNfloat y, FNfloat z)
+ {
+ int xr = FastRound(x);
+ int yr = FastRound(y);
+ int zr = FastRound(z);
+
+ float distance0 = 1e10f;
+ float distance1 = 1e10f;
+ int closestHash = 0;
+
+ float cellularJitter = 0.39614353f * mCellularJitterModifier;
+
+ int xPrimed = (xr - 1) * PrimeX;
+ int yPrimedBase = (yr - 1) * PrimeY;
+ int zPrimedBase = (zr - 1) * PrimeZ;
+
+ switch (mCellularDistanceFunction)
+ {
+ case CellularDistanceFunction_Euclidean:
+ case CellularDistanceFunction_EuclideanSq:
+ for (int xi = xr - 1; xi <= xr + 1; xi++)
+ {
+ int yPrimed = yPrimedBase;
+
+ for (int yi = yr - 1; yi <= yr + 1; yi++)
+ {
+ int zPrimed = zPrimedBase;
+
+ for (int zi = zr - 1; zi <= zr + 1; zi++)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed, zPrimed);
+ int idx = hash & (255 << 2);
+
+ float vecX = (float)(xi - x) + Lookup<float>::RandVecs3D[idx] * cellularJitter;
+ float vecY = (float)(yi - y) + Lookup<float>::RandVecs3D[idx | 1] * cellularJitter;
+ float vecZ = (float)(zi - z) + Lookup<float>::RandVecs3D[idx | 2] * cellularJitter;
+
+ float newDistance = vecX * vecX + vecY * vecY + vecZ * vecZ;
+
+ distance1 = FastMax(FastMin(distance1, newDistance), distance0);
+ if (newDistance < distance0)
+ {
+ distance0 = newDistance;
+ closestHash = hash;
+ }
+ zPrimed += PrimeZ;
+ }
+ yPrimed += PrimeY;
+ }
+ xPrimed += PrimeX;
+ }
+ break;
+ case CellularDistanceFunction_Manhattan:
+ for (int xi = xr - 1; xi <= xr + 1; xi++)
+ {
+ int yPrimed = yPrimedBase;
+
+ for (int yi = yr - 1; yi <= yr + 1; yi++)
+ {
+ int zPrimed = zPrimedBase;
+
+ for (int zi = zr - 1; zi <= zr + 1; zi++)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed, zPrimed);
+ int idx = hash & (255 << 2);
+
+ float vecX = (float)(xi - x) + Lookup<float>::RandVecs3D[idx] * cellularJitter;
+ float vecY = (float)(yi - y) + Lookup<float>::RandVecs3D[idx | 1] * cellularJitter;
+ float vecZ = (float)(zi - z) + Lookup<float>::RandVecs3D[idx | 2] * cellularJitter;
+
+ float newDistance = FastAbs(vecX) + FastAbs(vecY) + FastAbs(vecZ);
+
+ distance1 = FastMax(FastMin(distance1, newDistance), distance0);
+ if (newDistance < distance0)
+ {
+ distance0 = newDistance;
+ closestHash = hash;
+ }
+ zPrimed += PrimeZ;
+ }
+ yPrimed += PrimeY;
+ }
+ xPrimed += PrimeX;
+ }
+ break;
+ case CellularDistanceFunction_Hybrid:
+ for (int xi = xr - 1; xi <= xr + 1; xi++)
+ {
+ int yPrimed = yPrimedBase;
+
+ for (int yi = yr - 1; yi <= yr + 1; yi++)
+ {
+ int zPrimed = zPrimedBase;
+
+ for (int zi = zr - 1; zi <= zr + 1; zi++)
+ {
+ int hash = Hash(seed, xPrimed, yPrimed, zPrimed);
+ int idx = hash & (255 << 2);
+
+ float vecX = (float)(xi - x) + Lookup<float>::RandVecs3D[idx] * cellularJitter;
+ float vecY = (float)(yi - y) + Lookup<float>::RandVecs3D[idx | 1] * cellularJitter;
+ float vecZ = (float)(zi - z) + Lookup<float>::RandVecs3D[idx | 2] * cellularJitter;
+
+ float newDistance = (FastAbs(vecX) + FastAbs(vecY) + FastAbs(vecZ)) + (vecX * vecX + vecY * vecY + vecZ * vecZ);
+
+ distance1 = FastMax(FastMin(distance1, newDistance), distance0);
+ if (newDistance < distance0)
+ {
+ distance0 = newDistance;
+ closestHash = hash;
+ }
+ zPrimed += PrimeZ;
+ }
+ yPrimed += PrimeY;
+ }
+ xPrimed += PrimeX;
+ }
+ break;
+ default:
+ break;
+ }
+
+ if (mCellularDistanceFunction == CellularDistanceFunction_Euclidean && mCellularReturnType >= CellularReturnType_Distance)
+ {
+ distance0 = FastSqrt(distance0);
+
+ if (mCellularReturnType >= CellularReturnType_Distance2)
+ {
+ distance1 = FastSqrt(distance1);
+ }
+ }
+
+ switch (mCellularReturnType)
+ {
+ case CellularReturnType_CellValue:
+ return closestHash * (1 / 2147483648.0f);
+ case CellularReturnType_Distance:
+ return distance0 - 1;
+ case CellularReturnType_Distance2:
+ return distance1 - 1;
+ case CellularReturnType_Distance2Add:
+ return (distance1 + distance0) * 0.5f - 1;
+ case CellularReturnType_Distance2Sub:
+ return distance1 - distance0 - 1;
+ case CellularReturnType_Distance2Mul:
+ return distance1 * distance0 * 0.5f - 1;
+ case CellularReturnType_Distance2Div:
+ return distance0 / distance1 - 1;
+ default:
+ return 0;
+ }
+ }
+
+
+ // Perlin Noise
+
+ template <typename FNfloat>
+ float SinglePerlin(int seed, FNfloat x, FNfloat y)
+ {
+ int x0 = FastFloor(x);
+ int y0 = FastFloor(y);
+
+ float xd0 = (float)(x - x0);
+ float yd0 = (float)(y - y0);
+ float xd1 = xd0 - 1;
+ float yd1 = yd0 - 1;
+
+ float xs = InterpQuintic(xd0);
+ float ys = InterpQuintic(yd0);
+
+ x0 *= PrimeX;
+ y0 *= PrimeY;
+ int x1 = x0 + PrimeX;
+ int y1 = y0 + PrimeY;
+
+ float xf0 = Lerp(GradCoord(seed, x0, y0, xd0, yd0), GradCoord(seed, x1, y0, xd1, yd0), xs);
+ float xf1 = Lerp(GradCoord(seed, x0, y1, xd0, yd1), GradCoord(seed, x1, y1, xd1, yd1), xs);
+
+ return Lerp(xf0, xf1, ys) * 1.4247691104677813f;
+ }
+
+ template <typename FNfloat>
+ float SinglePerlin(int seed, FNfloat x, FNfloat y, FNfloat z)
+ {
+ int x0 = FastFloor(x);
+ int y0 = FastFloor(y);
+ int z0 = FastFloor(z);
+
+ float xd0 = (float)(x - x0);
+ float yd0 = (float)(y - y0);
+ float zd0 = (float)(z - z0);
+ float xd1 = xd0 - 1;
+ float yd1 = yd0 - 1;
+ float zd1 = zd0 - 1;
+
+ float xs = InterpQuintic(xd0);
+ float ys = InterpQuintic(yd0);
+ float zs = InterpQuintic(zd0);
+
+ x0 *= PrimeX;
+ y0 *= PrimeY;
+ z0 *= PrimeZ;
+ int x1 = x0 + PrimeX;
+ int y1 = y0 + PrimeY;
+ int z1 = z0 + PrimeZ;
+
+ float xf00 = Lerp(GradCoord(seed, x0, y0, z0, xd0, yd0, zd0), GradCoord(seed, x1, y0, z0, xd1, yd0, zd0), xs);
+ float xf10 = Lerp(GradCoord(seed, x0, y1, z0, xd0, yd1, zd0), GradCoord(seed, x1, y1, z0, xd1, yd1, zd0), xs);
+ float xf01 = Lerp(GradCoord(seed, x0, y0, z1, xd0, yd0, zd1), GradCoord(seed, x1, y0, z1, xd1, yd0, zd1), xs);
+ float xf11 = Lerp(GradCoord(seed, x0, y1, z1, xd0, yd1, zd1), GradCoord(seed, x1, y1, z1, xd1, yd1, zd1), xs);
+
+ float yf0 = Lerp(xf00, xf10, ys);
+ float yf1 = Lerp(xf01, xf11, ys);
+
+ return Lerp(yf0, yf1, zs) * 0.964921414852142333984375f;
+ }
+
+
+ // Value Cubic Noise
+
+ template <typename FNfloat>
+ float SingleValueCubic(int seed, FNfloat x, FNfloat y)
+ {
+ int x1 = FastFloor(x);
+ int y1 = FastFloor(y);
+
+ float xs = (float)(x - x1);
+ float ys = (float)(y - y1);
+
+ x1 *= PrimeX;
+ y1 *= PrimeY;
+ int x0 = x1 - PrimeX;
+ int y0 = y1 - PrimeY;
+ int x2 = x1 + PrimeX;
+ int y2 = y1 + PrimeY;
+ int x3 = x1 + (int)((long)PrimeX << 1);
+ int y3 = y1 + (int)((long)PrimeY << 1);
+
+ return CubicLerp(
+ CubicLerp(ValCoord(seed, x0, y0), ValCoord(seed, x1, y0), ValCoord(seed, x2, y0), ValCoord(seed, x3, y0),
+ xs),
+ CubicLerp(ValCoord(seed, x0, y1), ValCoord(seed, x1, y1), ValCoord(seed, x2, y1), ValCoord(seed, x3, y1),
+ xs),
+ CubicLerp(ValCoord(seed, x0, y2), ValCoord(seed, x1, y2), ValCoord(seed, x2, y2), ValCoord(seed, x3, y2),
+ xs),
+ CubicLerp(ValCoord(seed, x0, y3), ValCoord(seed, x1, y3), ValCoord(seed, x2, y3), ValCoord(seed, x3, y3),
+ xs),
+ ys) * (1 / (1.5f * 1.5f));
+ }
+
+ template <typename FNfloat>
+ float SingleValueCubic(int seed, FNfloat x, FNfloat y, FNfloat z)
+ {
+ int x1 = FastFloor(x);
+ int y1 = FastFloor(y);
+ int z1 = FastFloor(z);
+
+ float xs = (float)(x - x1);
+ float ys = (float)(y - y1);
+ float zs = (float)(z - z1);
+
+ x1 *= PrimeX;
+ y1 *= PrimeY;
+ z1 *= PrimeZ;
+
+ int x0 = x1 - PrimeX;
+ int y0 = y1 - PrimeY;
+ int z0 = z1 - PrimeZ;
+ int x2 = x1 + PrimeX;
+ int y2 = y1 + PrimeY;
+ int z2 = z1 + PrimeZ;
+ int x3 = x1 + (int)((long)PrimeX << 1);
+ int y3 = y1 + (int)((long)PrimeY << 1);
+ int z3 = z1 + (int)((long)PrimeZ << 1);
+
+
+ return CubicLerp(
+ CubicLerp(
+ CubicLerp(ValCoord(seed, x0, y0, z0), ValCoord(seed, x1, y0, z0), ValCoord(seed, x2, y0, z0), ValCoord(seed, x3, y0, z0), xs),
+ CubicLerp(ValCoord(seed, x0, y1, z0), ValCoord(seed, x1, y1, z0), ValCoord(seed, x2, y1, z0), ValCoord(seed, x3, y1, z0), xs),
+ CubicLerp(ValCoord(seed, x0, y2, z0), ValCoord(seed, x1, y2, z0), ValCoord(seed, x2, y2, z0), ValCoord(seed, x3, y2, z0), xs),
+ CubicLerp(ValCoord(seed, x0, y3, z0), ValCoord(seed, x1, y3, z0), ValCoord(seed, x2, y3, z0), ValCoord(seed, x3, y3, z0), xs),
+ ys),
+ CubicLerp(
+ CubicLerp(ValCoord(seed, x0, y0, z1), ValCoord(seed, x1, y0, z1), ValCoord(seed, x2, y0, z1), ValCoord(seed, x3, y0, z1), xs),
+ CubicLerp(ValCoord(seed, x0, y1, z1), ValCoord(seed, x1, y1, z1), ValCoord(seed, x2, y1, z1), ValCoord(seed, x3, y1, z1), xs),
+ CubicLerp(ValCoord(seed, x0, y2, z1), ValCoord(seed, x1, y2, z1), ValCoord(seed, x2, y2, z1), ValCoord(seed, x3, y2, z1), xs),
+ CubicLerp(ValCoord(seed, x0, y3, z1), ValCoord(seed, x1, y3, z1), ValCoord(seed, x2, y3, z1), ValCoord(seed, x3, y3, z1), xs),
+ ys),
+ CubicLerp(
+ CubicLerp(ValCoord(seed, x0, y0, z2), ValCoord(seed, x1, y0, z2), ValCoord(seed, x2, y0, z2), ValCoord(seed, x3, y0, z2), xs),
+ CubicLerp(ValCoord(seed, x0, y1, z2), ValCoord(seed, x1, y1, z2), ValCoord(seed, x2, y1, z2), ValCoord(seed, x3, y1, z2), xs),
+ CubicLerp(ValCoord(seed, x0, y2, z2), ValCoord(seed, x1, y2, z2), ValCoord(seed, x2, y2, z2), ValCoord(seed, x3, y2, z2), xs),
+ CubicLerp(ValCoord(seed, x0, y3, z2), ValCoord(seed, x1, y3, z2), ValCoord(seed, x2, y3, z2), ValCoord(seed, x3, y3, z2), xs),
+ ys),
+ CubicLerp(
+ CubicLerp(ValCoord(seed, x0, y0, z3), ValCoord(seed, x1, y0, z3), ValCoord(seed, x2, y0, z3), ValCoord(seed, x3, y0, z3), xs),
+ CubicLerp(ValCoord(seed, x0, y1, z3), ValCoord(seed, x1, y1, z3), ValCoord(seed, x2, y1, z3), ValCoord(seed, x3, y1, z3), xs),
+ CubicLerp(ValCoord(seed, x0, y2, z3), ValCoord(seed, x1, y2, z3), ValCoord(seed, x2, y2, z3), ValCoord(seed, x3, y2, z3), xs),
+ CubicLerp(ValCoord(seed, x0, y3, z3), ValCoord(seed, x1, y3, z3), ValCoord(seed, x2, y3, z3), ValCoord(seed, x3, y3, z3), xs),
+ ys),
+ zs) * (1 / (1.5f * 1.5f * 1.5f));
+ }
+
+
+ // Value Noise
+
+ template <typename FNfloat>
+ float SingleValue(int seed, FNfloat x, FNfloat y)
+ {
+ int x0 = FastFloor(x);
+ int y0 = FastFloor(y);
+
+ float xs = InterpHermite((float)(x - x0));
+ float ys = InterpHermite((float)(y - y0));
+
+ x0 *= PrimeX;
+ y0 *= PrimeY;
+ int x1 = x0 + PrimeX;
+ int y1 = y0 + PrimeY;
+
+ float xf0 = Lerp(ValCoord(seed, x0, y0), ValCoord(seed, x1, y0), xs);
+ float xf1 = Lerp(ValCoord(seed, x0, y1), ValCoord(seed, x1, y1), xs);
+
+ return Lerp(xf0, xf1, ys);
+ }
+
+ template <typename FNfloat>
+ float SingleValue(int seed, FNfloat x, FNfloat y, FNfloat z)
+ {
+ int x0 = FastFloor(x);
+ int y0 = FastFloor(y);
+ int z0 = FastFloor(z);
+
+ float xs = InterpHermite((float)(x - x0));
+ float ys = InterpHermite((float)(y - y0));
+ float zs = InterpHermite((float)(z - z0));
+
+ x0 *= PrimeX;
+ y0 *= PrimeY;
+ z0 *= PrimeZ;
+ int x1 = x0 + PrimeX;
+ int y1 = y0 + PrimeY;
+ int z1 = z0 + PrimeZ;
+
+ float xf00 = Lerp(ValCoord(seed, x0, y0, z0), ValCoord(seed, x1, y0, z0), xs);
+ float xf10 = Lerp(ValCoord(seed, x0, y1, z0), ValCoord(seed, x1, y1, z0), xs);
+ float xf01 = Lerp(ValCoord(seed, x0, y0, z1), ValCoord(seed, x1, y0, z1), xs);
+ float xf11 = Lerp(ValCoord(seed, x0, y1, z1), ValCoord(seed, x1, y1, z1), xs);
+
+ float yf0 = Lerp(xf00, xf10, ys);
+ float yf1 = Lerp(xf01, xf11, ys);
+
+ return Lerp(yf0, yf1, zs);
+ }
+
+
+ // Domain Warp
+
+ template <typename FNfloat>
+ void DoSingleDomainWarp(int seed, float amp, float freq, FNfloat x, FNfloat y, FNfloat& xr, FNfloat& yr)
+ {
+ switch (mDomainWarpType)
+ {
+ case DomainWarpType_OpenSimplex2:
+ SingleDomainWarpSimplexGradient(seed, amp * 38.283687591552734375f, freq, x, y, xr, yr, false);
+ break;
+ case DomainWarpType_OpenSimplex2Reduced:
+ SingleDomainWarpSimplexGradient(seed, amp * 16.0f, freq, x, y, xr, yr, true);
+ break;
+ case DomainWarpType_BasicGrid:
+ SingleDomainWarpBasicGrid(seed, amp, freq, x, y, xr, yr);
+ break;
+ }
+ }
+
+ template <typename FNfloat>
+ void DoSingleDomainWarp(int seed, float amp, float freq, FNfloat x, FNfloat y, FNfloat z, FNfloat& xr, FNfloat& yr, FNfloat& zr)
+ {
+ switch (mDomainWarpType)
+ {
+ case DomainWarpType_OpenSimplex2:
+ SingleDomainWarpOpenSimplex2Gradient(seed, amp * 32.69428253173828125f, freq, x, y, z, xr, yr, zr, false);
+ break;
+ case DomainWarpType_OpenSimplex2Reduced:
+ SingleDomainWarpOpenSimplex2Gradient(seed, amp * 7.71604938271605f, freq, x, y, z, xr, yr, zr, true);
+ break;
+ case DomainWarpType_BasicGrid:
+ SingleDomainWarpBasicGrid(seed, amp, freq, x, y, z, xr, yr, zr);
+ break;
+ }
+ }
+
+
+ // Domain Warp Single Wrapper
+
+ template <typename FNfloat>
+ void DomainWarpSingle(FNfloat& x, FNfloat& y)
+ {
+ int seed = mSeed;
+ float amp = mDomainWarpAmp * mFractalBounding;
+ float freq = mFrequency;
+
+ FNfloat xs = x;
+ FNfloat ys = y;
+ TransformDomainWarpCoordinate(xs, ys);
+
+ DoSingleDomainWarp(seed, amp, freq, xs, ys, x, y);
+ }
+
+ template <typename FNfloat>
+ void DomainWarpSingle(FNfloat& x, FNfloat& y, FNfloat& z)
+ {
+ int seed = mSeed;
+ float amp = mDomainWarpAmp * mFractalBounding;
+ float freq = mFrequency;
+
+ FNfloat xs = x;
+ FNfloat ys = y;
+ FNfloat zs = z;
+ TransformDomainWarpCoordinate(xs, ys, zs);
+
+ DoSingleDomainWarp(seed, amp, freq, xs, ys, zs, x, y, z);
+ }
+
+
+ // Domain Warp Fractal Progressive
+
+ template <typename FNfloat>
+ void DomainWarpFractalProgressive(FNfloat& x, FNfloat& y)
+ {
+ int seed = mSeed;
+ float amp = mDomainWarpAmp * mFractalBounding;
+ float freq = mFrequency;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ FNfloat xs = x;
+ FNfloat ys = y;
+ TransformDomainWarpCoordinate(xs, ys);
+
+ DoSingleDomainWarp(seed, amp, freq, xs, ys, x, y);
+
+ seed++;
+ amp *= mGain;
+ freq *= mLacunarity;
+ }
+ }
+
+ template <typename FNfloat>
+ void DomainWarpFractalProgressive(FNfloat& x, FNfloat& y, FNfloat& z)
+ {
+ int seed = mSeed;
+ float amp = mDomainWarpAmp * mFractalBounding;
+ float freq = mFrequency;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ FNfloat xs = x;
+ FNfloat ys = y;
+ FNfloat zs = z;
+ TransformDomainWarpCoordinate(xs, ys, zs);
+
+ DoSingleDomainWarp(seed, amp, freq, xs, ys, zs, x, y, z);
+
+ seed++;
+ amp *= mGain;
+ freq *= mLacunarity;
+ }
+ }
+
+
+ // Domain Warp Fractal Independant
+
+ template <typename FNfloat>
+ void DomainWarpFractalIndependent(FNfloat& x, FNfloat& y)
+ {
+ FNfloat xs = x;
+ FNfloat ys = y;
+ TransformDomainWarpCoordinate(xs, ys);
+
+ int seed = mSeed;
+ float amp = mDomainWarpAmp * mFractalBounding;
+ float freq = mFrequency;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ DoSingleDomainWarp(seed, amp, freq, xs, ys, x, y);
+
+ seed++;
+ amp *= mGain;
+ freq *= mLacunarity;
+ }
+ }
+
+ template <typename FNfloat>
+ void DomainWarpFractalIndependent(FNfloat& x, FNfloat& y, FNfloat& z)
+ {
+ FNfloat xs = x;
+ FNfloat ys = y;
+ FNfloat zs = z;
+ TransformDomainWarpCoordinate(xs, ys, zs);
+
+ int seed = mSeed;
+ float amp = mDomainWarpAmp * mFractalBounding;
+ float freq = mFrequency;
+
+ for (int i = 0; i < mOctaves; i++)
+ {
+ DoSingleDomainWarp(seed, amp, freq, xs, ys, zs, x, y, z);
+
+ seed++;
+ amp *= mGain;
+ freq *= mLacunarity;
+ }
+ }
+
+
+ // Domain Warp Basic Grid
+
+ template <typename FNfloat>
+ void SingleDomainWarpBasicGrid(int seed, float warpAmp, float frequency, FNfloat x, FNfloat y, FNfloat& xr, FNfloat& yr)
+ {
+ FNfloat xf = x * frequency;
+ FNfloat yf = y * frequency;
+
+ int x0 = FastFloor(xf);
+ int y0 = FastFloor(yf);
+
+ float xs = InterpHermite((float)(xf - x0));
+ float ys = InterpHermite((float)(yf - y0));
+
+ x0 *= PrimeX;
+ y0 *= PrimeY;
+ int x1 = x0 + PrimeX;
+ int y1 = y0 + PrimeY;
+
+ int hash0 = Hash(seed, x0, y0) & (255 << 1);
+ int hash1 = Hash(seed, x1, y0) & (255 << 1);
+
+ float lx0x = Lerp(Lookup<float>::RandVecs2D[hash0], Lookup<float>::RandVecs2D[hash1], xs);
+ float ly0x = Lerp(Lookup<float>::RandVecs2D[hash0 | 1], Lookup<float>::RandVecs2D[hash1 | 1], xs);
+
+ hash0 = Hash(seed, x0, y1) & (255 << 1);
+ hash1 = Hash(seed, x1, y1) & (255 << 1);
+
+ float lx1x = Lerp(Lookup<float>::RandVecs2D[hash0], Lookup<float>::RandVecs2D[hash1], xs);
+ float ly1x = Lerp(Lookup<float>::RandVecs2D[hash0 | 1], Lookup<float>::RandVecs2D[hash1 | 1], xs);
+
+ xr += Lerp(lx0x, lx1x, ys) * warpAmp;
+ yr += Lerp(ly0x, ly1x, ys) * warpAmp;
+ }
+
+ template <typename FNfloat>
+ void SingleDomainWarpBasicGrid(int seed, float warpAmp, float frequency, FNfloat x, FNfloat y, FNfloat z, FNfloat& xr, FNfloat& yr, FNfloat& zr)
+ {
+ FNfloat xf = x * frequency;
+ FNfloat yf = y * frequency;
+ FNfloat zf = z * frequency;
+
+ int x0 = FastFloor(xf);
+ int y0 = FastFloor(yf);
+ int z0 = FastFloor(zf);
+
+ float xs = InterpHermite((float)(xf - x0));
+ float ys = InterpHermite((float)(yf - y0));
+ float zs = InterpHermite((float)(zf - z0));
+
+ x0 *= PrimeX;
+ y0 *= PrimeY;
+ z0 *= PrimeZ;
+ int x1 = x0 + PrimeX;
+ int y1 = y0 + PrimeY;
+ int z1 = z0 + PrimeZ;
+
+ int hash0 = Hash(seed, x0, y0, z0) & (255 << 2);
+ int hash1 = Hash(seed, x1, y0, z0) & (255 << 2);
+
+ float lx0x = Lerp(Lookup<float>::RandVecs3D[hash0], Lookup<float>::RandVecs3D[hash1], xs);
+ float ly0x = Lerp(Lookup<float>::RandVecs3D[hash0 | 1], Lookup<float>::RandVecs3D[hash1 | 1], xs);
+ float lz0x = Lerp(Lookup<float>::RandVecs3D[hash0 | 2], Lookup<float>::RandVecs3D[hash1 | 2], xs);
+
+ hash0 = Hash(seed, x0, y1, z0) & (255 << 2);
+ hash1 = Hash(seed, x1, y1, z0) & (255 << 2);
+
+ float lx1x = Lerp(Lookup<float>::RandVecs3D[hash0], Lookup<float>::RandVecs3D[hash1], xs);
+ float ly1x = Lerp(Lookup<float>::RandVecs3D[hash0 | 1], Lookup<float>::RandVecs3D[hash1 | 1], xs);
+ float lz1x = Lerp(Lookup<float>::RandVecs3D[hash0 | 2], Lookup<float>::RandVecs3D[hash1 | 2], xs);
+
+ float lx0y = Lerp(lx0x, lx1x, ys);
+ float ly0y = Lerp(ly0x, ly1x, ys);
+ float lz0y = Lerp(lz0x, lz1x, ys);
+
+ hash0 = Hash(seed, x0, y0, z1) & (255 << 2);
+ hash1 = Hash(seed, x1, y0, z1) & (255 << 2);
+
+ lx0x = Lerp(Lookup<float>::RandVecs3D[hash0], Lookup<float>::RandVecs3D[hash1], xs);
+ ly0x = Lerp(Lookup<float>::RandVecs3D[hash0 | 1], Lookup<float>::RandVecs3D[hash1 | 1], xs);
+ lz0x = Lerp(Lookup<float>::RandVecs3D[hash0 | 2], Lookup<float>::RandVecs3D[hash1 | 2], xs);
+
+ hash0 = Hash(seed, x0, y1, z1) & (255 << 2);
+ hash1 = Hash(seed, x1, y1, z1) & (255 << 2);
+
+ lx1x = Lerp(Lookup<float>::RandVecs3D[hash0], Lookup<float>::RandVecs3D[hash1], xs);
+ ly1x = Lerp(Lookup<float>::RandVecs3D[hash0 | 1], Lookup<float>::RandVecs3D[hash1 | 1], xs);
+ lz1x = Lerp(Lookup<float>::RandVecs3D[hash0 | 2], Lookup<float>::RandVecs3D[hash1 | 2], xs);
+
+ xr += Lerp(lx0y, Lerp(lx0x, lx1x, ys), zs) * warpAmp;
+ yr += Lerp(ly0y, Lerp(ly0x, ly1x, ys), zs) * warpAmp;
+ zr += Lerp(lz0y, Lerp(lz0x, lz1x, ys), zs) * warpAmp;
+ }
+
+
+ // Domain Warp Simplex/OpenSimplex2
+
+ template <typename FNfloat>
+ void SingleDomainWarpSimplexGradient(int seed, float warpAmp, float frequency, FNfloat x, FNfloat y, FNfloat& xr, FNfloat& yr, bool outGradOnly)
+ {
+ const float SQRT3 = 1.7320508075688772935274463415059f;
+ const float G2 = (3 - SQRT3) / 6;
+
+ x *= frequency;
+ y *= frequency;
+
+ /*
+ * --- Skew moved to TransformNoiseCoordinate method ---
+ * const FNfloat F2 = 0.5f * (SQRT3 - 1);
+ * FNfloat s = (x + y) * F2;
+ * x += s; y += s;
+ */
+
+ int i = FastFloor(x);
+ int j = FastFloor(y);
+ float xi = (float)(x - i);
+ float yi = (float)(y - j);
+
+ float t = (xi + yi) * G2;
+ float x0 = (float)(xi - t);
+ float y0 = (float)(yi - t);
+
+ i *= PrimeX;
+ j *= PrimeY;
+
+ float vx, vy;
+ vx = vy = 0;
+
+ float a = 0.5f - x0 * x0 - y0 * y0;
+ if (a > 0)
+ {
+ float aaaa = (a * a) * (a * a);
+ float xo, yo;
+ if (outGradOnly)
+ GradCoordOut(seed, i, j, xo, yo);
+ else
+ GradCoordDual(seed, i, j, x0, y0, xo, yo);
+ vx += aaaa * xo;
+ vy += aaaa * yo;
+ }
+
+ float c = (float)(2 * (1 - 2 * G2) * (1 / G2 - 2)) * t + ((float)(-2 * (1 - 2 * G2) * (1 - 2 * G2)) + a);
+ if (c > 0)
+ {
+ float x2 = x0 + (2 * (float)G2 - 1);
+ float y2 = y0 + (2 * (float)G2 - 1);
+ float cccc = (c * c) * (c * c);
+ float xo, yo;
+ if (outGradOnly)
+ GradCoordOut(seed, i + PrimeX, j + PrimeY, xo, yo);
+ else
+ GradCoordDual(seed, i + PrimeX, j + PrimeY, x2, y2, xo, yo);
+ vx += cccc * xo;
+ vy += cccc * yo;
+ }
+
+ if (y0 > x0)
+ {
+ float x1 = x0 + (float)G2;
+ float y1 = y0 + ((float)G2 - 1);
+ float b = 0.5f - x1 * x1 - y1 * y1;
+ if (b > 0)
+ {
+ float bbbb = (b * b) * (b * b);
+ float xo, yo;
+ if (outGradOnly)
+ GradCoordOut(seed, i, j + PrimeY, xo, yo);
+ else
+ GradCoordDual(seed, i, j + PrimeY, x1, y1, xo, yo);
+ vx += bbbb * xo;
+ vy += bbbb * yo;
+ }
+ }
+ else
+ {
+ float x1 = x0 + ((float)G2 - 1);
+ float y1 = y0 + (float)G2;
+ float b = 0.5f - x1 * x1 - y1 * y1;
+ if (b > 0)
+ {
+ float bbbb = (b * b) * (b * b);
+ float xo, yo;
+ if (outGradOnly)
+ GradCoordOut(seed, i + PrimeX, j, xo, yo);
+ else
+ GradCoordDual(seed, i + PrimeX, j, x1, y1, xo, yo);
+ vx += bbbb * xo;
+ vy += bbbb * yo;
+ }
+ }
+
+ xr += vx * warpAmp;
+ yr += vy * warpAmp;
+ }
+
+ template <typename FNfloat>
+ void SingleDomainWarpOpenSimplex2Gradient(int seed, float warpAmp, float frequency, FNfloat x, FNfloat y, FNfloat z, FNfloat& xr, FNfloat& yr, FNfloat& zr, bool outGradOnly)
+ {
+ x *= frequency;
+ y *= frequency;
+ z *= frequency;
+
+ /*
+ * --- Rotation moved to TransformDomainWarpCoordinate method ---
+ * const FNfloat R3 = (FNfloat)(2.0 / 3.0);
+ * FNfloat r = (x + y + z) * R3; // Rotation, not skew
+ * x = r - x; y = r - y; z = r - z;
+ */
+
+ int i = FastRound(x);
+ int j = FastRound(y);
+ int k = FastRound(z);
+ float x0 = (float)x - i;
+ float y0 = (float)y - j;
+ float z0 = (float)z - k;
+
+ int xNSign = (int)(-x0 - 1.0f) | 1;
+ int yNSign = (int)(-y0 - 1.0f) | 1;
+ int zNSign = (int)(-z0 - 1.0f) | 1;
+
+ float ax0 = xNSign * -x0;
+ float ay0 = yNSign * -y0;
+ float az0 = zNSign * -z0;
+
+ i *= PrimeX;
+ j *= PrimeY;
+ k *= PrimeZ;
+
+ float vx, vy, vz;
+ vx = vy = vz = 0;
+
+ float a = (0.6f - x0 * x0) - (y0 * y0 + z0 * z0);
+ for (int l = 0; l < 2; l++)
+ {
+ if (a > 0)
+ {
+ float aaaa = (a * a) * (a * a);
+ float xo, yo, zo;
+ if (outGradOnly)
+ GradCoordOut(seed, i, j, k, xo, yo, zo);
+ else
+ GradCoordDual(seed, i, j, k, x0, y0, z0, xo, yo, zo);
+ vx += aaaa * xo;
+ vy += aaaa * yo;
+ vz += aaaa * zo;
+ }
+
+ float b = a + 1;
+ int i1 = i;
+ int j1 = j;
+ int k1 = k;
+ float x1 = x0;
+ float y1 = y0;
+ float z1 = z0;
+
+ if (ax0 >= ay0 && ax0 >= az0)
+ {
+ x1 += xNSign;
+ b -= xNSign * 2 * x1;
+ i1 -= xNSign * PrimeX;
+ }
+ else if (ay0 > ax0 && ay0 >= az0)
+ {
+ y1 += yNSign;
+ b -= yNSign * 2 * y1;
+ j1 -= yNSign * PrimeY;
+ }
+ else
+ {
+ z1 += zNSign;
+ b -= zNSign * 2 * z1;
+ k1 -= zNSign * PrimeZ;
+ }
+
+ if (b > 0)
+ {
+ float bbbb = (b * b) * (b * b);
+ float xo, yo, zo;
+ if (outGradOnly)
+ GradCoordOut(seed, i1, j1, k1, xo, yo, zo);
+ else
+ GradCoordDual(seed, i1, j1, k1, x1, y1, z1, xo, yo, zo);
+ vx += bbbb * xo;
+ vy += bbbb * yo;
+ vz += bbbb * zo;
+ }
+
+ if (l == 1) break;
+
+ ax0 = 0.5f - ax0;
+ ay0 = 0.5f - ay0;
+ az0 = 0.5f - az0;
+
+ x0 = xNSign * ax0;
+ y0 = yNSign * ay0;
+ z0 = zNSign * az0;
+
+ a += (0.75f - ax0) - (ay0 + az0);
+
+ i += (xNSign >> 1) & PrimeX;
+ j += (yNSign >> 1) & PrimeY;
+ k += (zNSign >> 1) & PrimeZ;
+
+ xNSign = -xNSign;
+ yNSign = -yNSign;
+ zNSign = -zNSign;
+
+ seed += 1293373;
+ }
+
+ xr += vx * warpAmp;
+ yr += vy * warpAmp;
+ zr += vz * warpAmp;
+ }
+};
+
+template <>
+struct FastNoiseLite::Arguments_must_be_floating_point_values<float> {};
+template <>
+struct FastNoiseLite::Arguments_must_be_floating_point_values<double> {};
+template <>
+struct FastNoiseLite::Arguments_must_be_floating_point_values<long double> {};
+
+template <typename T>
+const T FastNoiseLite::Lookup<T>::Gradients2D[] =
+{
+ 0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
+ 0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
+ 0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
+ -0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
+ -0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
+ -0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
+ 0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
+ 0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
+ 0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
+ -0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
+ -0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
+ -0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
+ 0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
+ 0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
+ 0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
+ -0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
+ -0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
+ -0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
+ 0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
+ 0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
+ 0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
+ -0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
+ -0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
+ -0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
+ 0.130526192220052f, 0.99144486137381f, 0.38268343236509f, 0.923879532511287f, 0.608761429008721f, 0.793353340291235f, 0.793353340291235f, 0.608761429008721f,
+ 0.923879532511287f, 0.38268343236509f, 0.99144486137381f, 0.130526192220051f, 0.99144486137381f, -0.130526192220051f, 0.923879532511287f, -0.38268343236509f,
+ 0.793353340291235f, -0.60876142900872f, 0.608761429008721f, -0.793353340291235f, 0.38268343236509f, -0.923879532511287f, 0.130526192220052f, -0.99144486137381f,
+ -0.130526192220052f, -0.99144486137381f, -0.38268343236509f, -0.923879532511287f, -0.608761429008721f, -0.793353340291235f, -0.793353340291235f, -0.608761429008721f,
+ -0.923879532511287f, -0.38268343236509f, -0.99144486137381f, -0.130526192220052f, -0.99144486137381f, 0.130526192220051f, -0.923879532511287f, 0.38268343236509f,
+ -0.793353340291235f, 0.608761429008721f, -0.608761429008721f, 0.793353340291235f, -0.38268343236509f, 0.923879532511287f, -0.130526192220052f, 0.99144486137381f,
+ 0.38268343236509f, 0.923879532511287f, 0.923879532511287f, 0.38268343236509f, 0.923879532511287f, -0.38268343236509f, 0.38268343236509f, -0.923879532511287f,
+ -0.38268343236509f, -0.923879532511287f, -0.923879532511287f, -0.38268343236509f, -0.923879532511287f, 0.38268343236509f, -0.38268343236509f, 0.923879532511287f,
+};
+
+template <typename T>
+const T FastNoiseLite::Lookup<T>::RandVecs2D[] =
+{
+ -0.2700222198f, -0.9628540911f, 0.3863092627f, -0.9223693152f, 0.04444859006f, -0.999011673f, -0.5992523158f, -0.8005602176f, -0.7819280288f, 0.6233687174f, 0.9464672271f, 0.3227999196f, -0.6514146797f, -0.7587218957f, 0.9378472289f, 0.347048376f,
+ -0.8497875957f, -0.5271252623f, -0.879042592f, 0.4767432447f, -0.892300288f, -0.4514423508f, -0.379844434f, -0.9250503802f, -0.9951650832f, 0.0982163789f, 0.7724397808f, -0.6350880136f, 0.7573283322f, -0.6530343002f, -0.9928004525f, -0.119780055f,
+ -0.0532665713f, 0.9985803285f, 0.9754253726f, -0.2203300762f, -0.7665018163f, 0.6422421394f, 0.991636706f, 0.1290606184f, -0.994696838f, 0.1028503788f, -0.5379205513f, -0.84299554f, 0.5022815471f, -0.8647041387f, 0.4559821461f, -0.8899889226f,
+ -0.8659131224f, -0.5001944266f, 0.0879458407f, -0.9961252577f, -0.5051684983f, 0.8630207346f, 0.7753185226f, -0.6315704146f, -0.6921944612f, 0.7217110418f, -0.5191659449f, -0.8546734591f, 0.8978622882f, -0.4402764035f, -0.1706774107f, 0.9853269617f,
+ -0.9353430106f, -0.3537420705f, -0.9992404798f, 0.03896746794f, -0.2882064021f, -0.9575683108f, -0.9663811329f, 0.2571137995f, -0.8759714238f, -0.4823630009f, -0.8303123018f, -0.5572983775f, 0.05110133755f, -0.9986934731f, -0.8558373281f, -0.5172450752f,
+ 0.09887025282f, 0.9951003332f, 0.9189016087f, 0.3944867976f, -0.2439375892f, -0.9697909324f, -0.8121409387f, -0.5834613061f, -0.9910431363f, 0.1335421355f, 0.8492423985f, -0.5280031709f, -0.9717838994f, -0.2358729591f, 0.9949457207f, 0.1004142068f,
+ 0.6241065508f, -0.7813392434f, 0.662910307f, 0.7486988212f, -0.7197418176f, 0.6942418282f, -0.8143370775f, -0.5803922158f, 0.104521054f, -0.9945226741f, -0.1065926113f, -0.9943027784f, 0.445799684f, -0.8951327509f, 0.105547406f, 0.9944142724f,
+ -0.992790267f, 0.1198644477f, -0.8334366408f, 0.552615025f, 0.9115561563f, -0.4111755999f, 0.8285544909f, -0.5599084351f, 0.7217097654f, -0.6921957921f, 0.4940492677f, -0.8694339084f, -0.3652321272f, -0.9309164803f, -0.9696606758f, 0.2444548501f,
+ 0.08925509731f, -0.996008799f, 0.5354071276f, -0.8445941083f, -0.1053576186f, 0.9944343981f, -0.9890284586f, 0.1477251101f, 0.004856104961f, 0.9999882091f, 0.9885598478f, 0.1508291331f, 0.9286129562f, -0.3710498316f, -0.5832393863f, -0.8123003252f,
+ 0.3015207509f, 0.9534596146f, -0.9575110528f, 0.2883965738f, 0.9715802154f, -0.2367105511f, 0.229981792f, 0.9731949318f, 0.955763816f, -0.2941352207f, 0.740956116f, 0.6715534485f, -0.9971513787f, -0.07542630764f, 0.6905710663f, -0.7232645452f,
+ -0.290713703f, -0.9568100872f, 0.5912777791f, -0.8064679708f, -0.9454592212f, -0.325740481f, 0.6664455681f, 0.74555369f, 0.6236134912f, 0.7817328275f, 0.9126993851f, -0.4086316587f, -0.8191762011f, 0.5735419353f, -0.8812745759f, -0.4726046147f,
+ 0.9953313627f, 0.09651672651f, 0.9855650846f, -0.1692969699f, -0.8495980887f, 0.5274306472f, 0.6174853946f, -0.7865823463f, 0.8508156371f, 0.52546432f, 0.9985032451f, -0.05469249926f, 0.1971371563f, -0.9803759185f, 0.6607855748f, -0.7505747292f,
+ -0.03097494063f, 0.9995201614f, -0.6731660801f, 0.739491331f, -0.7195018362f, -0.6944905383f, 0.9727511689f, 0.2318515979f, 0.9997059088f, -0.0242506907f, 0.4421787429f, -0.8969269532f, 0.9981350961f, -0.061043673f, -0.9173660799f, -0.3980445648f,
+ -0.8150056635f, -0.5794529907f, -0.8789331304f, 0.4769450202f, 0.0158605829f, 0.999874213f, -0.8095464474f, 0.5870558317f, -0.9165898907f, -0.3998286786f, -0.8023542565f, 0.5968480938f, -0.5176737917f, 0.8555780767f, -0.8154407307f, -0.5788405779f,
+ 0.4022010347f, -0.9155513791f, -0.9052556868f, -0.4248672045f, 0.7317445619f, 0.6815789728f, -0.5647632201f, -0.8252529947f, -0.8403276335f, -0.5420788397f, -0.9314281527f, 0.363925262f, 0.5238198472f, 0.8518290719f, 0.7432803869f, -0.6689800195f,
+ -0.985371561f, -0.1704197369f, 0.4601468731f, 0.88784281f, 0.825855404f, 0.5638819483f, 0.6182366099f, 0.7859920446f, 0.8331502863f, -0.553046653f, 0.1500307506f, 0.9886813308f, -0.662330369f, -0.7492119075f, -0.668598664f, 0.743623444f,
+ 0.7025606278f, 0.7116238924f, -0.5419389763f, -0.8404178401f, -0.3388616456f, 0.9408362159f, 0.8331530315f, 0.5530425174f, -0.2989720662f, -0.9542618632f, 0.2638522993f, 0.9645630949f, 0.124108739f, -0.9922686234f, -0.7282649308f, -0.6852956957f,
+ 0.6962500149f, 0.7177993569f, -0.9183535368f, 0.3957610156f, -0.6326102274f, -0.7744703352f, -0.9331891859f, -0.359385508f, -0.1153779357f, -0.9933216659f, 0.9514974788f, -0.3076565421f, -0.08987977445f, -0.9959526224f, 0.6678496916f, 0.7442961705f,
+ 0.7952400393f, -0.6062947138f, -0.6462007402f, -0.7631674805f, -0.2733598753f, 0.9619118351f, 0.9669590226f, -0.254931851f, -0.9792894595f, 0.2024651934f, -0.5369502995f, -0.8436138784f, -0.270036471f, -0.9628500944f, -0.6400277131f, 0.7683518247f,
+ -0.7854537493f, -0.6189203566f, 0.06005905383f, -0.9981948257f, -0.02455770378f, 0.9996984141f, -0.65983623f, 0.751409442f, -0.6253894466f, -0.7803127835f, -0.6210408851f, -0.7837781695f, 0.8348888491f, 0.5504185768f, -0.1592275245f, 0.9872419133f,
+ 0.8367622488f, 0.5475663786f, -0.8675753916f, -0.4973056806f, -0.2022662628f, -0.9793305667f, 0.9399189937f, 0.3413975472f, 0.9877404807f, -0.1561049093f, -0.9034455656f, 0.4287028224f, 0.1269804218f, -0.9919052235f, -0.3819600854f, 0.924178821f,
+ 0.9754625894f, 0.2201652486f, -0.3204015856f, -0.9472818081f, -0.9874760884f, 0.1577687387f, 0.02535348474f, -0.9996785487f, 0.4835130794f, -0.8753371362f, -0.2850799925f, -0.9585037287f, -0.06805516006f, -0.99768156f, -0.7885244045f, -0.6150034663f,
+ 0.3185392127f, -0.9479096845f, 0.8880043089f, 0.4598351306f, 0.6476921488f, -0.7619021462f, 0.9820241299f, 0.1887554194f, 0.9357275128f, -0.3527237187f, -0.8894895414f, 0.4569555293f, 0.7922791302f, 0.6101588153f, 0.7483818261f, 0.6632681526f,
+ -0.7288929755f, -0.6846276581f, 0.8729032783f, -0.4878932944f, 0.8288345784f, 0.5594937369f, 0.08074567077f, 0.9967347374f, 0.9799148216f, -0.1994165048f, -0.580730673f, -0.8140957471f, -0.4700049791f, -0.8826637636f, 0.2409492979f, 0.9705377045f,
+ 0.9437816757f, -0.3305694308f, -0.8927998638f, -0.4504535528f, -0.8069622304f, 0.5906030467f, 0.06258973166f, 0.9980393407f, -0.9312597469f, 0.3643559849f, 0.5777449785f, 0.8162173362f, -0.3360095855f, -0.941858566f, 0.697932075f, -0.7161639607f,
+ -0.002008157227f, -0.9999979837f, -0.1827294312f, -0.9831632392f, -0.6523911722f, 0.7578824173f, -0.4302626911f, -0.9027037258f, -0.9985126289f, -0.05452091251f, -0.01028102172f, -0.9999471489f, -0.4946071129f, 0.8691166802f, -0.2999350194f, 0.9539596344f,
+ 0.8165471961f, 0.5772786819f, 0.2697460475f, 0.962931498f, -0.7306287391f, -0.6827749597f, -0.7590952064f, -0.6509796216f, -0.907053853f, 0.4210146171f, -0.5104861064f, -0.8598860013f, 0.8613350597f, 0.5080373165f, 0.5007881595f, -0.8655698812f,
+ -0.654158152f, 0.7563577938f, -0.8382755311f, -0.545246856f, 0.6940070834f, 0.7199681717f, 0.06950936031f, 0.9975812994f, 0.1702942185f, -0.9853932612f, 0.2695973274f, 0.9629731466f, 0.5519612192f, -0.8338697815f, 0.225657487f, -0.9742067022f,
+ 0.4215262855f, -0.9068161835f, 0.4881873305f, -0.8727388672f, -0.3683854996f, -0.9296731273f, -0.9825390578f, 0.1860564427f, 0.81256471f, 0.5828709909f, 0.3196460933f, -0.9475370046f, 0.9570913859f, 0.2897862643f, -0.6876655497f, -0.7260276109f,
+ -0.9988770922f, -0.047376731f, -0.1250179027f, 0.992154486f, -0.8280133617f, 0.560708367f, 0.9324863769f, -0.3612051451f, 0.6394653183f, 0.7688199442f, -0.01623847064f, -0.9998681473f, -0.9955014666f, -0.09474613458f, -0.81453315f, 0.580117012f,
+ 0.4037327978f, -0.9148769469f, 0.9944263371f, 0.1054336766f, -0.1624711654f, 0.9867132919f, -0.9949487814f, -0.100383875f, -0.6995302564f, 0.7146029809f, 0.5263414922f, -0.85027327f, -0.5395221479f, 0.841971408f, 0.6579370318f, 0.7530729462f,
+ 0.01426758847f, -0.9998982128f, -0.6734383991f, 0.7392433447f, 0.639412098f, -0.7688642071f, 0.9211571421f, 0.3891908523f, -0.146637214f, -0.9891903394f, -0.782318098f, 0.6228791163f, -0.5039610839f, -0.8637263605f, -0.7743120191f, -0.6328039957f,
+};
+
+template <typename T>
+const T FastNoiseLite::Lookup<T>::Gradients3D[] =
+{
+ 0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
+ 1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
+ 1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
+ 0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
+ 1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
+ 1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
+ 0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
+ 1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
+ 1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
+ 0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
+ 1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
+ 1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
+ 0, 1, 1, 0, 0,-1, 1, 0, 0, 1,-1, 0, 0,-1,-1, 0,
+ 1, 0, 1, 0, -1, 0, 1, 0, 1, 0,-1, 0, -1, 0,-1, 0,
+ 1, 1, 0, 0, -1, 1, 0, 0, 1,-1, 0, 0, -1,-1, 0, 0,
+ 1, 1, 0, 0, 0,-1, 1, 0, -1, 1, 0, 0, 0,-1,-1, 0
+};
+
+template <typename T>
+const T FastNoiseLite::Lookup<T>::RandVecs3D[] =
+{
+ -0.7292736885f, -0.6618439697f, 0.1735581948f, 0, 0.790292081f, -0.5480887466f, -0.2739291014f, 0, 0.7217578935f, 0.6226212466f, -0.3023380997f, 0, 0.565683137f, -0.8208298145f, -0.0790000257f, 0, 0.760049034f, -0.5555979497f, -0.3370999617f, 0, 0.3713945616f, 0.5011264475f, 0.7816254623f, 0, -0.1277062463f, -0.4254438999f, -0.8959289049f, 0, -0.2881560924f, -0.5815838982f, 0.7607405838f, 0,
+ 0.5849561111f, -0.662820239f, -0.4674352136f, 0, 0.3307171178f, 0.0391653737f, 0.94291689f, 0, 0.8712121778f, -0.4113374369f, -0.2679381538f, 0, 0.580981015f, 0.7021915846f, 0.4115677815f, 0, 0.503756873f, 0.6330056931f, -0.5878203852f, 0, 0.4493712205f, 0.601390195f, 0.6606022552f, 0, -0.6878403724f, 0.09018890807f, -0.7202371714f, 0, -0.5958956522f, -0.6469350577f, 0.475797649f, 0,
+ -0.5127052122f, 0.1946921978f, -0.8361987284f, 0, -0.9911507142f, -0.05410276466f, -0.1212153153f, 0, -0.2149721042f, 0.9720882117f, -0.09397607749f, 0, -0.7518650936f, -0.5428057603f, 0.3742469607f, 0, 0.5237068895f, 0.8516377189f, -0.02107817834f, 0, 0.6333504779f, 0.1926167129f, -0.7495104896f, 0, -0.06788241606f, 0.3998305789f, 0.9140719259f, 0, -0.5538628599f, -0.4729896695f, -0.6852128902f, 0,
+ -0.7261455366f, -0.5911990757f, 0.3509933228f, 0, -0.9229274737f, -0.1782808786f, 0.3412049336f, 0, -0.6968815002f, 0.6511274338f, 0.3006480328f, 0, 0.9608044783f, -0.2098363234f, -0.1811724921f, 0, 0.06817146062f, -0.9743405129f, 0.2145069156f, 0, -0.3577285196f, -0.6697087264f, -0.6507845481f, 0, -0.1868621131f, 0.7648617052f, -0.6164974636f, 0, -0.6541697588f, 0.3967914832f, 0.6439087246f, 0,
+ 0.6993340405f, -0.6164538506f, 0.3618239211f, 0, -0.1546665739f, 0.6291283928f, 0.7617583057f, 0, -0.6841612949f, -0.2580482182f, -0.6821542638f, 0, 0.5383980957f, 0.4258654885f, 0.7271630328f, 0, -0.5026987823f, -0.7939832935f, -0.3418836993f, 0, 0.3202971715f, 0.2834415347f, 0.9039195862f, 0, 0.8683227101f, -0.0003762656404f, -0.4959995258f, 0, 0.791120031f, -0.08511045745f, 0.6057105799f, 0,
+ -0.04011016052f, -0.4397248749f, 0.8972364289f, 0, 0.9145119872f, 0.3579346169f, -0.1885487608f, 0, -0.9612039066f, -0.2756484276f, 0.01024666929f, 0, 0.6510361721f, -0.2877799159f, -0.7023778346f, 0, -0.2041786351f, 0.7365237271f, 0.644859585f, 0, -0.7718263711f, 0.3790626912f, 0.5104855816f, 0, -0.3060082741f, -0.7692987727f, 0.5608371729f, 0, 0.454007341f, -0.5024843065f, 0.7357899537f, 0,
+ 0.4816795475f, 0.6021208291f, -0.6367380315f, 0, 0.6961980369f, -0.3222197429f, 0.641469197f, 0, -0.6532160499f, -0.6781148932f, 0.3368515753f, 0, 0.5089301236f, -0.6154662304f, -0.6018234363f, 0, -0.1635919754f, -0.9133604627f, -0.372840892f, 0, 0.52408019f, -0.8437664109f, 0.1157505864f, 0, 0.5902587356f, 0.4983817807f, -0.6349883666f, 0, 0.5863227872f, 0.494764745f, 0.6414307729f, 0,
+ 0.6779335087f, 0.2341345225f, 0.6968408593f, 0, 0.7177054546f, -0.6858979348f, 0.120178631f, 0, -0.5328819713f, -0.5205125012f, 0.6671608058f, 0, -0.8654874251f, -0.0700727088f, -0.4960053754f, 0, -0.2861810166f, 0.7952089234f, 0.5345495242f, 0, -0.04849529634f, 0.9810836427f, -0.1874115585f, 0, -0.6358521667f, 0.6058348682f, 0.4781800233f, 0, 0.6254794696f, -0.2861619734f, 0.7258696564f, 0,
+ -0.2585259868f, 0.5061949264f, -0.8227581726f, 0, 0.02136306781f, 0.5064016808f, -0.8620330371f, 0, 0.200111773f, 0.8599263484f, 0.4695550591f, 0, 0.4743561372f, 0.6014985084f, -0.6427953014f, 0, 0.6622993731f, -0.5202474575f, -0.5391679918f, 0, 0.08084972818f, -0.6532720452f, 0.7527940996f, 0, -0.6893687501f, 0.0592860349f, 0.7219805347f, 0, -0.1121887082f, -0.9673185067f, 0.2273952515f, 0,
+ 0.7344116094f, 0.5979668656f, -0.3210532909f, 0, 0.5789393465f, -0.2488849713f, 0.7764570201f, 0, 0.6988182827f, 0.3557169806f, -0.6205791146f, 0, -0.8636845529f, -0.2748771249f, -0.4224826141f, 0, -0.4247027957f, -0.4640880967f, 0.777335046f, 0, 0.5257722489f, -0.8427017621f, 0.1158329937f, 0, 0.9343830603f, 0.316302472f, -0.1639543925f, 0, -0.1016836419f, -0.8057303073f, -0.5834887393f, 0,
+ -0.6529238969f, 0.50602126f, -0.5635892736f, 0, -0.2465286165f, -0.9668205684f, -0.06694497494f, 0, -0.9776897119f, -0.2099250524f, -0.007368825344f, 0, 0.7736893337f, 0.5734244712f, 0.2694238123f, 0, -0.6095087895f, 0.4995678998f, 0.6155736747f, 0, 0.5794535482f, 0.7434546771f, 0.3339292269f, 0, -0.8226211154f, 0.08142581855f, 0.5627293636f, 0, -0.510385483f, 0.4703667658f, 0.7199039967f, 0,
+ -0.5764971849f, -0.07231656274f, -0.8138926898f, 0, 0.7250628871f, 0.3949971505f, -0.5641463116f, 0, -0.1525424005f, 0.4860840828f, -0.8604958341f, 0, -0.5550976208f, -0.4957820792f, 0.667882296f, 0, -0.1883614327f, 0.9145869398f, 0.357841725f, 0, 0.7625556724f, -0.5414408243f, -0.3540489801f, 0, -0.5870231946f, -0.3226498013f, -0.7424963803f, 0, 0.3051124198f, 0.2262544068f, -0.9250488391f, 0,
+ 0.6379576059f, 0.577242424f, -0.5097070502f, 0, -0.5966775796f, 0.1454852398f, -0.7891830656f, 0, -0.658330573f, 0.6555487542f, -0.3699414651f, 0, 0.7434892426f, 0.2351084581f, 0.6260573129f, 0, 0.5562114096f, 0.8264360377f, -0.0873632843f, 0, -0.3028940016f, -0.8251527185f, 0.4768419182f, 0, 0.1129343818f, -0.985888439f, -0.1235710781f, 0, 0.5937652891f, -0.5896813806f, 0.5474656618f, 0,
+ 0.6757964092f, -0.5835758614f, -0.4502648413f, 0, 0.7242302609f, -0.1152719764f, 0.6798550586f, 0, -0.9511914166f, 0.0753623979f, -0.2992580792f, 0, 0.2539470961f, -0.1886339355f, 0.9486454084f, 0, 0.571433621f, -0.1679450851f, -0.8032795685f, 0, -0.06778234979f, 0.3978269256f, 0.9149531629f, 0, 0.6074972649f, 0.733060024f, -0.3058922593f, 0, -0.5435478392f, 0.1675822484f, 0.8224791405f, 0,
+ -0.5876678086f, -0.3380045064f, -0.7351186982f, 0, -0.7967562402f, 0.04097822706f, -0.6029098428f, 0, -0.1996350917f, 0.8706294745f, 0.4496111079f, 0, -0.02787660336f, -0.9106232682f, -0.4122962022f, 0, -0.7797625996f, -0.6257634692f, 0.01975775581f, 0, -0.5211232846f, 0.7401644346f, -0.4249554471f, 0, 0.8575424857f, 0.4053272873f, -0.3167501783f, 0, 0.1045223322f, 0.8390195772f, -0.5339674439f, 0,
+ 0.3501822831f, 0.9242524096f, -0.1520850155f, 0, 0.1987849858f, 0.07647613266f, 0.9770547224f, 0, 0.7845996363f, 0.6066256811f, -0.1280964233f, 0, 0.09006737436f, -0.9750989929f, -0.2026569073f, 0, -0.8274343547f, -0.542299559f, 0.1458203587f, 0, -0.3485797732f, -0.415802277f, 0.840000362f, 0, -0.2471778936f, -0.7304819962f, -0.6366310879f, 0, -0.3700154943f, 0.8577948156f, 0.3567584454f, 0,
+ 0.5913394901f, -0.548311967f, -0.5913303597f, 0, 0.1204873514f, -0.7626472379f, -0.6354935001f, 0, 0.616959265f, 0.03079647928f, 0.7863922953f, 0, 0.1258156836f, -0.6640829889f, -0.7369967419f, 0, -0.6477565124f, -0.1740147258f, -0.7417077429f, 0, 0.6217889313f, -0.7804430448f, -0.06547655076f, 0, 0.6589943422f, -0.6096987708f, 0.4404473475f, 0, -0.2689837504f, -0.6732403169f, -0.6887635427f, 0,
+ -0.3849775103f, 0.5676542638f, 0.7277093879f, 0, 0.5754444408f, 0.8110471154f, -0.1051963504f, 0, 0.9141593684f, 0.3832947817f, 0.131900567f, 0, -0.107925319f, 0.9245493968f, 0.3654593525f, 0, 0.377977089f, 0.3043148782f, 0.8743716458f, 0, -0.2142885215f, -0.8259286236f, 0.5214617324f, 0, 0.5802544474f, 0.4148098596f, -0.7008834116f, 0, -0.1982660881f, 0.8567161266f, -0.4761596756f, 0,
+ -0.03381553704f, 0.3773180787f, -0.9254661404f, 0, -0.6867922841f, -0.6656597827f, 0.2919133642f, 0, 0.7731742607f, -0.2875793547f, -0.5652430251f, 0, -0.09655941928f, 0.9193708367f, -0.3813575004f, 0, 0.2715702457f, -0.9577909544f, -0.09426605581f, 0, 0.2451015704f, -0.6917998565f, -0.6792188003f, 0, 0.977700782f, -0.1753855374f, 0.1155036542f, 0, -0.5224739938f, 0.8521606816f, 0.02903615945f, 0,
+ -0.7734880599f, -0.5261292347f, 0.3534179531f, 0, -0.7134492443f, -0.269547243f, 0.6467878011f, 0, 0.1644037271f, 0.5105846203f, -0.8439637196f, 0, 0.6494635788f, 0.05585611296f, 0.7583384168f, 0, -0.4711970882f, 0.5017280509f, -0.7254255765f, 0, -0.6335764307f, -0.2381686273f, -0.7361091029f, 0, -0.9021533097f, -0.270947803f, -0.3357181763f, 0, -0.3793711033f, 0.872258117f, 0.3086152025f, 0,
+ -0.6855598966f, -0.3250143309f, 0.6514394162f, 0, 0.2900942212f, -0.7799057743f, -0.5546100667f, 0, -0.2098319339f, 0.85037073f, 0.4825351604f, 0, -0.4592603758f, 0.6598504336f, -0.5947077538f, 0, 0.8715945488f, 0.09616365406f, -0.4807031248f, 0, -0.6776666319f, 0.7118504878f, -0.1844907016f, 0, 0.7044377633f, 0.312427597f, 0.637304036f, 0, -0.7052318886f, -0.2401093292f, -0.6670798253f, 0,
+ 0.081921007f, -0.7207336136f, -0.6883545647f, 0, -0.6993680906f, -0.5875763221f, -0.4069869034f, 0, -0.1281454481f, 0.6419895885f, 0.7559286424f, 0, -0.6337388239f, -0.6785471501f, -0.3714146849f, 0, 0.5565051903f, -0.2168887573f, -0.8020356851f, 0, -0.5791554484f, 0.7244372011f, -0.3738578718f, 0, 0.1175779076f, -0.7096451073f, 0.6946792478f, 0, -0.6134619607f, 0.1323631078f, 0.7785527795f, 0,
+ 0.6984635305f, -0.02980516237f, -0.715024719f, 0, 0.8318082963f, -0.3930171956f, 0.3919597455f, 0, 0.1469576422f, 0.05541651717f, -0.9875892167f, 0, 0.708868575f, -0.2690503865f, 0.6520101478f, 0, 0.2726053183f, 0.67369766f, -0.68688995f, 0, -0.6591295371f, 0.3035458599f, -0.6880466294f, 0, 0.4815131379f, -0.7528270071f, 0.4487723203f, 0, 0.9430009463f, 0.1675647412f, -0.2875261255f, 0,
+ 0.434802957f, 0.7695304522f, -0.4677277752f, 0, 0.3931996188f, 0.594473625f, 0.7014236729f, 0, 0.7254336655f, -0.603925654f, 0.3301814672f, 0, 0.7590235227f, -0.6506083235f, 0.02433313207f, 0, -0.8552768592f, -0.3430042733f, 0.3883935666f, 0, -0.6139746835f, 0.6981725247f, 0.3682257648f, 0, -0.7465905486f, -0.5752009504f, 0.3342849376f, 0, 0.5730065677f, 0.810555537f, -0.1210916791f, 0,
+ -0.9225877367f, -0.3475211012f, -0.167514036f, 0, -0.7105816789f, -0.4719692027f, -0.5218416899f, 0, -0.08564609717f, 0.3583001386f, 0.929669703f, 0, -0.8279697606f, -0.2043157126f, 0.5222271202f, 0, 0.427944023f, 0.278165994f, 0.8599346446f, 0, 0.5399079671f, -0.7857120652f, -0.3019204161f, 0, 0.5678404253f, -0.5495413974f, -0.6128307303f, 0, -0.9896071041f, 0.1365639107f, -0.04503418428f, 0,
+ -0.6154342638f, -0.6440875597f, 0.4543037336f, 0, 0.1074204368f, -0.7946340692f, 0.5975094525f, 0, -0.3595449969f, -0.8885529948f, 0.28495784f, 0, -0.2180405296f, 0.1529888965f, 0.9638738118f, 0, -0.7277432317f, -0.6164050508f, -0.3007234646f, 0, 0.7249729114f, -0.00669719484f, 0.6887448187f, 0, -0.5553659455f, -0.5336586252f, 0.6377908264f, 0, 0.5137558015f, 0.7976208196f, -0.3160000073f, 0,
+ -0.3794024848f, 0.9245608561f, -0.03522751494f, 0, 0.8229248658f, 0.2745365933f, -0.4974176556f, 0, -0.5404114394f, 0.6091141441f, 0.5804613989f, 0, 0.8036581901f, -0.2703029469f, 0.5301601931f, 0, 0.6044318879f, 0.6832968393f, 0.4095943388f, 0, 0.06389988817f, 0.9658208605f, -0.2512108074f, 0, 0.1087113286f, 0.7402471173f, -0.6634877936f, 0, -0.713427712f, -0.6926784018f, 0.1059128479f, 0,
+ 0.6458897819f, -0.5724548511f, -0.5050958653f, 0, -0.6553931414f, 0.7381471625f, 0.159995615f, 0, 0.3910961323f, 0.9188871375f, -0.05186755998f, 0, -0.4879022471f, -0.5904376907f, 0.6429111375f, 0, 0.6014790094f, 0.7707441366f, -0.2101820095f, 0, -0.5677173047f, 0.7511360995f, 0.3368851762f, 0, 0.7858573506f, 0.226674665f, 0.5753666838f, 0, -0.4520345543f, -0.604222686f, -0.6561857263f, 0,
+ 0.002272116345f, 0.4132844051f, -0.9105991643f, 0, -0.5815751419f, -0.5162925989f, 0.6286591339f, 0, -0.03703704785f, 0.8273785755f, 0.5604221175f, 0, -0.5119692504f, 0.7953543429f, -0.3244980058f, 0, -0.2682417366f, -0.9572290247f, -0.1084387619f, 0, -0.2322482736f, -0.9679131102f, -0.09594243324f, 0, 0.3554328906f, -0.8881505545f, 0.2913006227f, 0, 0.7346520519f, -0.4371373164f, 0.5188422971f, 0,
+ 0.9985120116f, 0.04659011161f, -0.02833944577f, 0, -0.3727687496f, -0.9082481361f, 0.1900757285f, 0, 0.91737377f, -0.3483642108f, 0.1925298489f, 0, 0.2714911074f, 0.4147529736f, -0.8684886582f, 0, 0.5131763485f, -0.7116334161f, 0.4798207128f, 0, -0.8737353606f, 0.18886992f, -0.4482350644f, 0, 0.8460043821f, -0.3725217914f, 0.3814499973f, 0, 0.8978727456f, -0.1780209141f, -0.4026575304f, 0,
+ 0.2178065647f, -0.9698322841f, -0.1094789531f, 0, -0.1518031304f, -0.7788918132f, -0.6085091231f, 0, -0.2600384876f, -0.4755398075f, -0.8403819825f, 0, 0.572313509f, -0.7474340931f, -0.3373418503f, 0, -0.7174141009f, 0.1699017182f, -0.6756111411f, 0, -0.684180784f, 0.02145707593f, -0.7289967412f, 0, -0.2007447902f, 0.06555605789f, -0.9774476623f, 0, -0.1148803697f, -0.8044887315f, 0.5827524187f, 0,
+ -0.7870349638f, 0.03447489231f, 0.6159443543f, 0, -0.2015596421f, 0.6859872284f, 0.6991389226f, 0, -0.08581082512f, -0.10920836f, -0.9903080513f, 0, 0.5532693395f, 0.7325250401f, -0.396610771f, 0, -0.1842489331f, -0.9777375055f, -0.1004076743f, 0, 0.0775473789f, -0.9111505856f, 0.4047110257f, 0, 0.1399838409f, 0.7601631212f, -0.6344734459f, 0, 0.4484419361f, -0.845289248f, 0.2904925424f, 0
+};
+
+}
+#endif // namespace fastnoiselite
diff --git a/thirdparty/noise/patches/FastNoiseLite.patch b/thirdparty/noise/patches/FastNoiseLite.patch
new file mode 100644
index 0000000000..acb1edfd73
--- /dev/null
+++ b/thirdparty/noise/patches/FastNoiseLite.patch
@@ -0,0 +1,18 @@
+--- orig/FastNoiseLite.h 1900-01-00 00:00:00 +0000
++++ noise/FastNoiseLite.h 1900-01-00 00:00:00 +0000
+@@ -52,6 +52,8 @@
+
+ #include <cmath>
+
++namespace fastnoiselite{
++
+ class FastNoiseLite
+ {
+ public:
+@@ -2583,4 +2585,5 @@
+ -0.7870349638f, 0.03447489231f, 0.6159443543f, 0, -0.2015596421f, 0.6859872284f, 0.6991389226f, 0, -0.08581082512f, -0.10920836f, -0.9903080513f, 0, 0.5532693395f, 0.7325250401f, -0.396610771f, 0, -0.1842489331f, -0.9777375055f, -0.1004076743f, 0, 0.0775473789f, -0.9111505856f, 0.4047110257f, 0, 0.1399838409f, 0.7601631212f, -0.6344734459f, 0, 0.4484419361f, -0.845289248f, 0.2904925424f, 0
+ };
+
+-#endif
++}
++#endif // namespace fastnoiselite