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virtualx-engine/thirdparty/misc/open-simplex-noise.c
JFonS f12a1b8863 Add SimplexNoise and NoiseTexture as new resources 
SimplexNoise can be used to generate parameterized fractal noise based on Open Simplex.

NoiseTexture uses SimplexNoise to generate noise textures for using in
shaders/visual effects.
2018-09-14 15:24:34 +02:00

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/*
* 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(struct osn_context *ctx, int xsb, int ysb, double dx, double dy)
{
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(struct osn_context *ctx, int xsb, int ysb, int zsb, double dx, double dy, double dz)
{
int16_t *perm = ctx->perm;
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(struct osn_context *ctx, int xsb, int ysb, int zsb, int wsb, double dx, double dy, double dz, double dw)
{
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 --
for (i = 0; i < 256; i++)
source[i] = (int16_t) i;
seed = seed * 6364136223846793005LL + 1442695040888963407LL;
seed = seed * 6364136223846793005LL + 1442695040888963407LL;
seed = seed * 6364136223846793005LL + 1442695040888963407LL;
for (i = 255; i >= 0; i--) {
seed = seed * 6364136223846793005LL + 1442695040888963407LL;
r = (int)((seed + 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(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(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(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;
}
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