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simplex~.c
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simplex~.c
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// external created by Ben Wesch, 2024
// simplex algorithms by Stefan Gustavson (slightly adapted) from https://github.com/stegu/perlin-noise/blob/master/src/sdnoise1234.c
#include "m_pd.h"
#include <math.h>
#include <time.h>
#include <stdlib.h>
#ifdef _WIN32
#include <windows.h>
#else
#include <dlfcn.h>
#endif
#define max(a,b) ( ((a) > (b)) ? (a) : (b) )
#define min(a,b) ( ((a) < (b)) ? (a) : (b) )
#define clamp(a,b,c) (min(max((a), (b)), (c)))
#define fastfloor(x) ( ((t_int)(x)<=(x)) ? ((t_int)x) : (((t_int)x)-1) )
#define DEFAULT_PERSISTENCE 0.5
#define MAX_DIMENSIONS 4
#define MAX_OCTAVES 1024
#define F2 0.36602540378 // (sqrt(3) - 1) / 2
#define G2 0.2113248654 // (3 - sqrt(3)) / 6
#define G2_2 0.42264973081
#define F3 0.33333333333 // 1 / 2
#define G3 0.16666666666 // 1 / 6
#define G3_2 0.33333333333
#define G3_3 0.5
#define F4 0.30901699437 // (sqrt(5) - 1) / 4
#define G4 0.13819660112 // (5 - sqrt(5)) / 20
#define G4_2 0.27639320225
#define G4_3 0.41458980337
#define G4_4 0.5527864045
typedef void (*t_signal_setmultiout)(t_signal **, int);
t_signal_setmultiout g_signal_setmultiout;
static t_class *simplex_tilde_class;
typedef struct _simplex_tilde {
t_object x_obj;
t_inlet *inlet_persistence;
t_sample **coordinate_vector;
t_sample *in_persistence;
t_sample *out_value;
t_sample **derivatives_vector;
t_float *derivatives;
t_float octave_factors[MAX_OCTAVES];
t_sample f;
int multichannel;
int normalize;
int octaves;
int dimensions;
unsigned char perm[512];
} t_simplex_tilde;
static void init_permutation_with_seed(unsigned char *perm, unsigned int seed) {
int i;
unsigned char basePermutation[256];
for (i = 0; i < 256; i++) {
basePermutation[i] = i;
}
srand(seed);
for (i = 255; i > 0; i--) {
int j = rand() % (i + 1);
unsigned char temp = basePermutation[i];
basePermutation[i] = basePermutation[j];
basePermutation[j] = temp;
}
for (i = 0; i < 256; i++) {
perm[i] = basePermutation[i];
perm[i + 256] = basePermutation[i];
}
}
static void init_permutation(unsigned char *perm) {
struct timespec ts;
clock_gettime(CLOCK_MONOTONIC, &ts);
init_permutation_with_seed(perm, (unsigned int)ts.tv_nsec);
}
static t_float grad2lut[8][2] = {
{-1,-1}, { 1, 0}, {-1, 0}, { 1, 1},
{-1, 1}, { 0,-1}, { 0, 1}, { 1,-1}
};
/*
* Gradient directions for 3D.
* These vectors are based on the midpoints of the 12 edges of a cube.
* A larger array of random unit length vectors would also do the job,
* but these 12 (including 4 repeats to make the array length a power
* of two) work better. They are not random, they are carefully chosen
* to represent a small, isotropic set of directions.
*/
static t_float grad3lut[16][3] = {
{ 1, 0, 1}, { 0, 1, 1}, // 12 cube edges
{-1, 0, 1}, { 0,-1, 1},
{ 1, 0,-1}, { 0, 1,-1},
{-1, 0,-1}, { 0,-1,-1},
{ 1,-1, 0}, { 1, 1, 0},
{-1, 1, 0}, {-1,-1, 0},
{ 1, 0, 1}, {-1, 0, 1}, // 4 repeats to make 16
{ 0, 1,-1}, { 0,-1,-1}
};
static t_float grad4lut[32][4] = {
{ 0, 1, 1, 1}, { 0, 1, 1,-1}, { 0, 1,-1, 1}, { 0, 1,-1,-1},
{ 0,-1, 1, 1}, { 0,-1, 1,-1}, { 0,-1,-1, 1}, { 0,-1,-1,-1},
{ 1, 0, 1, 1}, { 1, 0, 1,-1}, { 1, 0,-1, 1}, { 1, 0,-1,-1},
{-1, 0, 1, 1}, {-1, 0, 1,-1}, {-1, 0,-1, 1}, {-1, 0,-1,-1},
{ 1, 1, 0, 1}, { 1, 1, 0,-1}, { 1,-1, 0, 1}, { 1,-1, 0,-1},
{-1, 1, 0, 1}, {-1, 1, 0,-1}, {-1,-1, 0, 1}, {-1,-1, 0,-1},
{ 1, 1, 1, 0}, { 1, 1,-1, 0}, { 1,-1, 1, 0}, { 1,-1,-1, 0},
{-1, 1, 1, 0}, {-1, 1,-1, 0}, {-1,-1, 1, 0}, {-1,-1,-1, 0}
};
static unsigned char simplex[64][4] = {
{0,1,2,3}, {0,1,3,2}, {0,0,0,0}, {0,2,3,1}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {1,2,3,0},
{0,2,1,3}, {0,0,0,0}, {0,3,1,2}, {0,3,2,1}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {1,3,2,0},
{0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0},
{1,2,0,3}, {0,0,0,0}, {1,3,0,2}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {2,3,0,1}, {2,3,1,0},
{1,0,2,3}, {1,0,3,2}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {2,0,3,1}, {0,0,0,0}, {2,1,3,0},
{0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0},
{2,0,1,3}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {3,0,1,2}, {3,0,2,1}, {0,0,0,0}, {3,1,2,0},
{2,1,0,3}, {0,0,0,0}, {0,0,0,0}, {0,0,0,0}, {3,1,0,2}, {0,0,0,0}, {3,2,0,1}, {3,2,1,0}
};
static void grad1(t_int hash, t_float *gx) {
t_int h = hash & 15;
*gx = 1 + (h & 7);
if (h & 8) *gx = -(*gx);
}
static void grad2(t_int hash, t_float *gx, t_float *gy) {
t_int h = hash & 7;
*gx = grad2lut[h][0];
*gy = grad2lut[h][1];
}
static void grad3(t_int hash, t_float *gx, t_float *gy, t_float *gz) {
t_int h = hash & 15;
*gx = grad3lut[h][0];
*gy = grad3lut[h][1];
*gz = grad3lut[h][2];
}
static void grad4(t_int hash, t_float *gx, t_float *gy, t_float *gz, t_float *gw) {
t_int h = hash & 31;
*gx = grad4lut[h][0];
*gy = grad4lut[h][1];
*gz = grad4lut[h][2];
*gw = grad4lut[h][3];
}
// 1D simplex noise
static t_float snoise1(t_float *pos, t_float sc, t_float coeff, unsigned char *perm, t_float *derivatives) {
t_float x = sc * pos[0];
t_int i0 = fastfloor(x);
t_int i1 = i0 + 1;
t_float x0 = x - i0;
t_float x1 = x0 - 1;
t_float gx0, gx1;
t_float n0, n1;
t_float t1, t20, t40, t21, t41, x21;
t_float x20 = x0 * x0;
t_float t0 = 1 - x20;
t20 = t0 * t0;
t40 = t20 * t20;
grad1(perm[i0 & 0xff], &gx0);
n0 = t40 * gx0 * x0;
x21 = x1 * x1;
t1 = 1 - x21;
t21 = t1 * t1;
t41 = t21 * t21;
grad1(perm[i1 & 0xff], &gx1);
n1 = t41 * gx1 * x1;
if (derivatives) {
t_float d;
d = t20 * t0 * gx0 * x20;
d += t21 * t1 * gx1 * x21;
d *= -8;
d += t40 * gx0 + t41 * gx1;
d *= 0.25;
derivatives[0] += coeff * d;
}
return coeff * 0.25 * (n0 + n1);
}
// 2D simplex noise
static t_float snoise2(t_float *pos, t_float sc, t_float coeff, unsigned char *perm, t_float *derivatives) {
t_float x = sc * pos[0], y = sc * pos[1];
t_float n0, n1, n2;
t_float gx0, gy0, gx1, gy1, gx2, gy2;
t_float t0, t1, t2, x1, x2, y1, y2;
t_float t20, t40, t21, t41, t22, t42;
t_float temp0, temp1, temp2, noise;
t_float s = (x + y) * F2;
t_float xs = x + s;
t_float ys = y + s;
t_int ii, i = fastfloor(xs);
t_int jj, j = fastfloor(ys);
t_float t = (t_float)(i + j) * G2;
t_float X0 = i - t;
t_float Y0 = j - t;
t_float x0 = x - X0;
t_float y0 = y - Y0;
t_int i1, j1;
if (x0 > y0) { i1 = 1; j1 = 0; }
else { i1 = 0; j1 = 1; }
x1 = x0 - i1 + G2;
y1 = y0 - j1 + G2;
x2 = x0 - 1 + G2_2;
y2 = y0 - 1 + G2_2;
ii = i & 0xff;
jj = j & 0xff;
t0 = 0.5 - x0 * x0 - y0 * y0;
if (t0 < 0) t40 = t20 = t0 = n0 = gx0 = gy0 = 0;
else {
grad2(perm[ii + perm[jj]], &gx0, &gy0);
t20 = t0 * t0;
t40 = t20 * t20;
n0 = t40 * (gx0 * x0 + gy0 * y0);
}
t1 = 0.5 - x1 * x1 - y1 * y1;
if (t1 < 0) t21 = t41 = t1 = n1 = gx1 = gy1 = 0;
else {
grad2(perm[ii + i1 + perm[jj + j1]], &gx1, &gy1);
t21 = t1 * t1;
t41 = t21 * t21;
n1 = t41 * (gx1 * x1 + gy1 * y1);
}
t2 = 0.5 - x2 * x2 - y2 * y2;
if (t2 < 0) t42 = t22 = t2 = n2 = gx2 = gy2 = 0;
else {
grad2(perm[ii + 1 + perm[jj + 1]], &gx2, &gy2);
t22 = t2 * t2;
t42 = t22 * t22;
n2 = t42 * (gx2 * x2 + gy2 * y2);
}
noise = 40 * (n0 + n1 + n2);
if (derivatives) {
t_float d[2];
temp0 = t20 * t0 * (gx0 * x0 + gy0 * y0);
d[0] = temp0 * x0;
d[1] = temp0 * y0;
temp1 = t21 * t1 * (gx1 * x1 + gy1 * y1);
d[0] += temp1 * x1;
d[1] += temp1 * y1;
temp2 = t22 * t2 * (gx2 * x2 + gy2 * y2);
d[0] += temp2 * x2;
d[1] += temp2 * y2;
d[0] *= -8;
d[1] *= -8;
d[0] += t40 * gx0 + t41 * gx1 + t42 * gx2;
d[1] += t40 * gy0 + t41 * gy1 + t42 * gy2;
d[0] *= 40;
d[1] *= 40;
derivatives[0] += coeff * d[0];
derivatives[1] += coeff * d[1];
}
return coeff * noise;
}
// 3D simplex noise
static t_float snoise3(t_float *pos, t_float sc, t_float coeff, unsigned char *perm, t_float *derivatives) {
t_float x = sc * pos[0], y = sc * pos[1], z = sc * pos[2];
t_float n0, n1, n2, n3;
t_float noise;
t_float gx0, gy0, gz0, gx1, gy1, gz1;
t_float gx2, gy2, gz2, gx3, gy3, gz3;
t_float x1, y1, z1, x2, y2, z2, x3, y3, z3;
t_float t0, t1, t2, t3, t20, t40, t21, t41, t22, t42, t23, t43;
t_float temp0, temp1, temp2, temp3;
t_float s = (x + y + z) * F3;
t_float xs = x + s;
t_float ys = y + s;
t_float zs = z + s;
t_int ii, i = fastfloor(xs);
t_int jj, j = fastfloor(ys);
t_int kk, k = fastfloor(zs);
t_float t = (t_float)(i + j + k) * G3;
t_float X0 = i - t;
t_float Y0 = j - t;
t_float Z0 = k - t;
t_float x0 = x - X0;
t_float y0 = y - Y0;
t_float z0 = z - Z0;
t_int i1, j1, k1;
t_int i2, j2, k2;
if (x0 >= y0) {
if (y0 >= z0) {
i1 = 1; j1 = 0; k1 = 0; i2 = 1; j2 = 1; k2 = 0;
} else if (x0 >= z0) {
i1 = 1; j1 = 0; k1 = 0; i2 = 1; j2 = 0; k2 = 1;
} else {
i1 = 0; j1 = 0; k1 = 1; i2 = 1; j2 = 0; k2 = 1;
}
} else {
if (y0 < z0) {
i1 = 0; j1 = 0; k1 = 1; i2 = 0; j2 = 1; k2 = 1;
} else if (x0 < z0) {
i1 = 0; j1 = 1; k1 = 0; i2 = 0; j2 = 1; k2 = 1;
} else {
i1 = 0; j1 = 1; k1 = 0; i2 = 1; j2 = 1; k2 = 0;
}
}
x1 = x0 - i1 + G3;
y1 = y0 - j1 + G3;
z1 = z0 - k1 + G3;
x2 = x0 - i2 + G3_2;
y2 = y0 - j2 + G3_2;
z2 = z0 - k2 + G3_2;
x3 = x0 - 1 + G3_3;
y3 = y0 - 1 + G3_3;
z3 = z0 - 1 + G3_3;
ii = i & 0xff;
jj = j & 0xff;
kk = k & 0xff;
t0 = 0.5 - x0 * x0 - y0 * y0 - z0 * z0;
if (t0 < 0) n0 = t0 = t20 = t40 = gx0 = gy0 = gz0 = 0;
else {
grad3(perm[ii + perm[jj + perm[kk]]], &gx0, &gy0, &gz0);
t20 = t0 * t0;
t40 = t20 * t20;
n0 = t40 * (gx0 * x0 + gy0 * y0 + gz0 * z0);
}
t1 = 0.5 - x1 * x1 - y1 * y1 - z1 * z1;
if (t1 < 0) n1 = t1 = t21 = t41 = gx1 = gy1 = gz1 = 0;
else {
grad3(perm[ii + i1 + perm[jj + j1 + perm[kk + k1]]], &gx1, &gy1, &gz1);
t21 = t1 * t1;
t41 = t21 * t21;
n1 = t41 * (gx1 * x1 + gy1 * y1 + gz1 * z1);
}
t2 = 0.5 - x2 * x2 - y2 * y2 - z2 * z2;
if (t2 < 0) n2 = t2 = t22 = t42 = gx2 = gy2 = gz2 = 0;
else {
grad3(perm[ii + i2 + perm[jj + j2 + perm[kk + k2]]], &gx2, &gy2, &gz2);
t22 = t2 * t2;
t42 = t22 * t22;
n2 = t42 * (gx2 * x2 + gy2 * y2 + gz2 * z2);
}
t3 = 0.5 - x3 * x3 - y3 * y3 - z3 * z3;
if (t3 < 0) n3 = t3 = t23 = t43 = gx3 = gy3 = gz3 = 0;
else {
grad3(perm[ii + 1 + perm[jj + 1 + perm[kk + 1]]], &gx3, &gy3, &gz3);
t23 = t3 * t3;
t43 = t23 * t23;
n3 = t43 * (gx3 * x3 + gy3 * y3 + gz3 * z3);
}
noise = 72 * (n0 + n1 + n2 + n3);
if (derivatives) {
t_float d[3];
temp0 = t20 * t0 * (gx0 * x0 + gy0 * y0 + gz0 * z0);
d[0] = temp0 * x0;
d[1] = temp0 * y0;
d[2] = temp0 * z0;
temp1 = t21 * t1 * (gx1 * x1 + gy1 * y1 + gz1 * z1);
d[0] += temp1 * x1;
d[1] += temp1 * y1;
d[2] += temp1 * z1;
temp2 = t22 * t2 * (gx2 * x2 + gy2 * y2 + gz2 * z2);
d[0] += temp2 * x2;
d[1] += temp2 * y2;
d[2] += temp2 * z2;
temp3 = t23 * t3 * (gx3 * x3 + gy3 * y3 + gz3 * z3);
d[0] += temp3 * x3;
d[1] += temp3 * y3;
d[2] += temp3 * z3;
d[0] *= -8;
d[1] *= -8;
d[2] *= -8;
d[0] += t40 * gx0 + t41 * gx1 + t42 * gx2 + t43 * gx3;
d[1] += t40 * gy0 + t41 * gy1 + t42 * gy2 + t43 * gy3;
d[2] += t40 * gz0 + t41 * gz1 + t42 * gz2 + t43 * gz3;
d[0] *= 72;
d[1] *= 72;
d[2] *= 72;
derivatives[0] += coeff * d[0];
derivatives[1] += coeff * d[1];
derivatives[2] += coeff * d[2];
}
return coeff * noise;
}
// 4D simplex noise
static t_float snoise4(t_float *pos, t_float sc, t_float coeff, unsigned char *perm, t_float *derivatives) {
t_float x = sc * pos[0], y = sc * pos[1], z = sc * pos[2], w = sc * pos[3];
t_float n0, n1, n2, n3, n4;
t_float noise;
t_float gx0, gy0, gz0, gw0, gx1, gy1, gz1, gw1;
t_float gx2, gy2, gz2, gw2, gx3, gy3, gz3, gw3, gx4, gy4, gz4, gw4;
t_float t20, t21, t22, t23, t24;
t_float t40, t41, t42, t43, t44;
t_float x1, y1, z1, w1, x2, y2, z2, w2, x3, y3, z3, w3, x4, y4, z4, w4;
t_float t0, t1, t2, t3, t4;
t_float temp0, temp1, temp2, temp3, temp4;
t_float s = (x + y + z + w) * F4;
t_float xs = x + s;
t_float ys = y + s;
t_float zs = z + s;
t_float ws = w + s;
t_int ii, i = fastfloor(xs);
t_int jj, j = fastfloor(ys);
t_int kk, k = fastfloor(zs);
t_int ll, l = fastfloor(ws);
t_float t = (i + j + k + l) * G4;
t_float X0 = i - t;
t_float Y0 = j - t;
t_float Z0 = k - t;
t_float W0 = l - t;
t_float x0 = x - X0;
t_float y0 = y - Y0;
t_float z0 = z - Z0;
t_float w0 = w - W0;
t_int c1 = (x0 > y0) << 5;
t_int c2 = (x0 > z0) << 4;
t_int c3 = (y0 > z0) << 3;
t_int c4 = (x0 > w0) << 2;
t_int c5 = (y0 > w0) << 1;
t_int c6 = (z0 > w0);
t_int c = c1 | c2 | c3 | c4 | c5 | c6;
t_int i1, j1, k1, l1;
t_int i2, j2, k2, l2;
t_int i3, j3, k3, l3;
i1 = simplex[c][0] > 2;
j1 = simplex[c][1] > 2;
k1 = simplex[c][2] > 2;
l1 = simplex[c][3] > 2;
i2 = simplex[c][0] > 1;
j2 = simplex[c][1] > 1;
k2 = simplex[c][2] > 1;
l2 = simplex[c][3] > 1;
i3 = simplex[c][0] > 0;
j3 = simplex[c][1] > 0;
k3 = simplex[c][2] > 0;
l3 = simplex[c][3] > 0;
x1 = x0 - i1 + G4;
y1 = y0 - j1 + G4;
z1 = z0 - k1 + G4;
w1 = w0 - l1 + G4;
x2 = x0 - i2 + G4_2;
y2 = y0 - j2 + G4_2;
z2 = z0 - k2 + G4_2;
w2 = w0 - l2 + G4_2;
x3 = x0 - i3 + G4_3;
y3 = y0 - j3 + G4_3;
z3 = z0 - k3 + G4_3;
w3 = w0 - l3 + G4_3;
x4 = x0 - 1 + G4_4;
y4 = y0 - 1 + G4_4;
z4 = z0 - 1 + G4_4;
w4 = w0 - 1 + G4_4;
ii = i & 0xff;
jj = j & 0xff;
kk = k & 0xff;
ll = l & 0xff;
t0 = 0.5 - x0 * x0 - y0 * y0 - z0 * z0 - w0 * w0;
if (t0 < 0) n0 = t0 = t20 = t40 = gx0 = gy0 = gz0 = gw0 = 0;
else {
t20 = t0 * t0;
t40 = t20 * t20;
grad4(perm[ii + perm[jj + perm[kk + perm[ll]]]], &gx0, &gy0, &gz0, &gw0);
n0 = t40 * (gx0 * x0 + gy0 * y0 + gz0 * z0 + gw0 * w0);
}
t1 = 0.5 - x1 * x1 - y1 * y1 - z1 * z1 - w1 * w1;
if (t1 < 0) n1 = t1 = t21 = t41 = gx1 = gy1 = gz1 = gw1 = 0;
else {
t21 = t1 * t1;
t41 = t21 * t21;
grad4(perm[ii + i1 + perm[jj + j1 + perm[kk + k1 + perm[ll + l1]]]], &gx1, &gy1, &gz1, &gw1);
n1 = t41 * (gx1 * x1 + gy1 * y1 + gz1 * z1 + gw1 * w1);
}
t2 = 0.5 - x2 * x2 - y2 * y2 - z2 * z2 - w2 * w2;
if (t2 < 0) n2 = t2 = t22 = t42 = gx2 = gy2 = gz2 = gw2 = 0;
else {
t22 = t2 * t2;
t42 = t22 * t22;
grad4(perm[ii + i2 + perm[jj + j2 + perm[kk + k2 + perm[ll + l2]]]], &gx2, &gy2, &gz2, &gw2);
n2 = t42 * (gx2 * x2 + gy2 * y2 + gz2 * z2 + gw2 * w2);
}
t3 = 0.5 - x3 * x3 - y3 * y3 - z3 * z3 - w3 * w3;
if (t3 < 0) n3 = t3 = t23 = t43 = gx3 = gy3 = gz3 = gw3 = 0;
else {
t23 = t3 * t3;
t43 = t23 * t23;
grad4(perm[ii + i3 + perm[jj + j3 + perm[kk + k3 + perm[ll + l3]]]], &gx3, &gy3, &gz3, &gw3);
n3 = t43 * (gx3 * x3 + gy3 * y3 + gz3 * z3 + gw3 * w3);
}
t4 = 0.5 - x4 * x4 - y4 * y4 - z4 * z4 - w4 * w4;
if (t4 < 0) n4 = t4 = t24 = t44 = gx4 = gy4 = gz4 = gw4 = 0;
else {
t24 = t4 * t4;
t44 = t24 * t24;
grad4(perm[ii + 1 + perm[jj + 1 + perm[kk + 1 + perm[ll + 1]]]], &gx4, &gy4, &gz4, &gw4);
n4 = t44 * (gx4 * x4 + gy4 * y4 + gz4 * z4 + gw4 * w4);
}
noise = 62 * (n0 + n1 + n2 + n3 + n4);
if (derivatives) {
t_float d[4];
temp0 = t20 * t0 * (gx0 * x0 + gy0 * y0 + gz0 * z0 + gw0 * w0);
d[0] = temp0 * x0;
d[1] = temp0 * y0;
d[2] = temp0 * z0;
d[3] = temp0 * w0;
temp1 = t21 * t1 * (gx1 * x1 + gy1 * y1 + gz1 * z1 + gw1 * w1);
d[0] += temp1 * x1;
d[1] += temp1 * y1;
d[2] += temp1 * z1;
d[3] += temp1 * w1;
temp2 = t22 * t2 * (gx2 * x2 + gy2 * y2 + gz2 * z2 + gw2 * w2);
d[0] += temp2 * x2;
d[1] += temp2 * y2;
d[2] += temp2 * z2;
d[3] += temp2 * w2;
temp3 = t23 * t3 * (gx3 * x3 + gy3 * y3 + gz3 * z3 + gw3 * w3);
d[0] += temp3 * x3;
d[1] += temp3 * y3;
d[2] += temp3 * z3;
d[3] += temp3 * w3;
temp4 = t24 * t4 * (gx4 * x4 + gy4 * y4 + gz4 * z4 + gw4 * w4);
d[0] += temp4 * x4;
d[1] += temp4 * y4;
d[2] += temp4 * z4;
d[3] += temp4 * w4;
d[0] *= -8;
d[1] *= -8;
d[2] *= -8;
d[3] *= -8;
d[0] += t40 * gx0 + t41 * gx1 + t42 * gx2 + t43 * gx3 + t44 * gx4;
d[1] += t40 * gy0 + t41 * gy1 + t42 * gy2 + t43 * gy3 + t44 * gy4;
d[2] += t40 * gz0 + t41 * gz1 + t42 * gz2 + t43 * gz3 + t44 * gz4;
d[3] += t40 * gw0 + t41 * gw1 + t42 * gw2 + t43 * gw3 + t44 * gw4;
d[0] *= coeff * 62;
d[1] *= coeff * 62;
d[2] *= coeff * 62;
d[3] *= coeff * 62;
derivatives[0] += coeff * d[0];
derivatives[1] += coeff * d[1];
derivatives[2] += coeff * d[2];
derivatives[3] += coeff * d[3];
}
return coeff * noise;
}
static inline t_float generate_noise(t_simplex_tilde *x, t_float *pos, t_float persistence, int func_index, t_float *derivatives) {
t_float result = 0;
t_float coeff = 1;
t_float normalize_factor = 1;
t_float scale;
t_float abs_persistence = fabs(persistence);
int i, octave;
// normalization according to (1 / geometric series including p^0) based on given persistence
if (x->normalize) {
if (abs_persistence == 1) // avoid division by zero
normalize_factor = 1 / x->octaves;
else {
normalize_factor = abs_persistence - 1;
normalize_factor /= pow(abs_persistence, x->octaves) - 1;
}
}
static t_float (*noise_func[])(t_float *, t_float, t_float, unsigned char *, t_float *) = {
snoise1, snoise2, snoise3, snoise4
};
if (derivatives) {
for (i = 0; i < MAX_DIMENSIONS; i++)
derivatives[i] = 0;
}
for (octave = 0; octave < x->octaves; octave++) {
if (octave) coeff *= persistence; // first octave is not attenuated
scale = x->octave_factors[octave];
result += noise_func[func_index](pos, scale, coeff, x->perm, derivatives);
}
return result * normalize_factor;
}
static t_int *simplex_tilde_perform(t_int *w) {
t_simplex_tilde *x = (t_simplex_tilde *)(w[1]);
t_int n_samples = w[2];
int sample, dim;
for (sample = 0; sample < n_samples; sample++) {
t_float pos[4] = {0};
for (dim = 0; dim < x->dimensions; dim++)
pos[dim] = x->coordinate_vector[dim][sample];
x->out_value[sample] = generate_noise(x, pos, x->in_persistence[sample], x->dimensions - 1, x->derivatives);
if (x->derivatives) {
for (dim = 0; dim < x->dimensions; dim++)
x->derivatives_vector[dim][sample] = x->derivatives[dim];
}
}
return w+3;
}
void simplex_tilde_dsp(t_simplex_tilde *x, t_signal **sp) {
t_int n_samples = (t_int)sp[0]->s_n;
int dim;
if (x->multichannel) {
x->dimensions = (int)min(MAX_DIMENSIONS, sp[0]->s_nchans);
for (dim = 0; dim < x->dimensions; dim++)
x->coordinate_vector[dim] = sp[0]->s_vec + n_samples * dim;
x->in_persistence = sp[1]->s_vec;
g_signal_setmultiout(&sp[2], 1);
x->out_value = sp[2]->s_vec;
if (x->derivatives) {
g_signal_setmultiout(&sp[3], x->dimensions);
for (dim = 0; dim < x->dimensions; dim++)
x->derivatives_vector[dim] = sp[3]->s_vec + n_samples * dim;
}
} else {
for (dim = 0; dim < x->dimensions; dim++)
x->coordinate_vector[dim] = sp[dim]->s_vec;
x->in_persistence = sp[x->dimensions]->s_vec;
if (g_signal_setmultiout) g_signal_setmultiout(&sp[x->dimensions + 1], 1);
x->out_value = sp[x->dimensions + 1]->s_vec;
if (x->derivatives) {
for (dim = 0; dim < x->dimensions; dim++) {
if (g_signal_setmultiout) g_signal_setmultiout(&sp[x->dimensions + 2 + dim], 1);
x->derivatives_vector[dim] = sp[x->dimensions + 2 + dim]->s_vec;
}
}
}
dsp_add(simplex_tilde_perform, 2, x, n_samples);
}
static inline void init_octave_factors(t_simplex_tilde *x) {
for (int octave = 0; octave < x->octaves; octave++)
x->octave_factors[octave] = (t_float)(1 << octave);
}
static void simplex_tilde_octaves(t_simplex_tilde *x, t_floatarg f) {
x->octaves = (int)clamp(f, 1, MAX_OCTAVES);
init_octave_factors(x);
}
static void simplex_tilde_persistence(t_simplex_tilde *x, t_floatarg f) {
pd_float((t_pd *)x->inlet_persistence, f);
}
static void simplex_tilde_normalize(t_simplex_tilde *x, t_symbol *s, int ac, t_atom *av) {
// activate normalization if no argument is given or anything that is not false
x->normalize = !ac || atom_getfloat(av);
(void)s;
}
static void simplex_tilde_seed(t_simplex_tilde *x, t_symbol *s, int ac, t_atom *av) {
if (ac)
init_permutation_with_seed(x->perm, atom_getfloat(av));
else
init_permutation(x->perm);
(void)s;
}
static void simplex_tilde_coeffs(t_simplex_tilde *x, t_symbol *s, int ac, t_atom *av) {
int i;
x->octaves = clamp(ac, 1, MAX_OCTAVES);
for (i = 0; i < x->octaves; i++) {
x->octave_factors[i] = atom_getfloat(av);
av++;
}
(void)s;
}
static void simplex_tilde_free(t_simplex_tilde *x) {
inlet_free(x->inlet_persistence);
freebytes(x->coordinate_vector, MAX_DIMENSIONS * sizeof(t_sample *));
if (x->derivatives) {
freebytes(x->derivatives, MAX_DIMENSIONS * sizeof(t_float));
freebytes(x->derivatives_vector, MAX_DIMENSIONS * sizeof(t_sample *));
}
}
static void *simplex_tilde_new(t_symbol *s, int ac, t_atom *av) {
t_simplex_tilde *x = (t_simplex_tilde *)pd_new(simplex_tilde_class);
t_float persistence;
x->normalize = 0;
x->octaves = 1;
x->dimensions = 0;
int i;
int maj = 0, min = 0, bug = 0;
sys_getversion(&maj, &min, &bug);
init_permutation(x->perm);
while (ac && av->a_type == A_SYMBOL) {
if (atom_getsymbol(av) == gensym("-n"))
x->normalize = 1;
else if (atom_getsymbol(av) == gensym("-d"))
x->derivatives = (t_float *)getbytes(MAX_DIMENSIONS * sizeof(t_float));
else if (atom_getsymbol(av) == gensym("-dim")) {
ac--, av++;
x->dimensions = clamp((int)atom_getint(av), 1, MAX_DIMENSIONS);
} else if (atom_getsymbol(av) == gensym("-s")) {
ac--, av++;
init_permutation_with_seed(x->perm, (unsigned int)atom_getint(av));
} else
pd_error(x, "[simplex~]: invalid argument");
ac--, av++;
}
if (ac) {
x->octaves = clamp(atom_getint(av), 1, MAX_OCTAVES);
ac--, av++;
}
persistence = ac ? atom_getfloat(av) : DEFAULT_PERSISTENCE;
init_octave_factors(x);
x->multichannel = !x->dimensions && g_signal_setmultiout;
x->coordinate_vector = (t_sample **)getbytes(MAX_DIMENSIONS * sizeof(t_sample *));
if (!g_signal_setmultiout && !x->dimensions) {
x->dimensions = 1;
pd_error(x, "[simplex~]: no multichannel support in Pd %i.%i-%i", maj, min, bug);
post("[simplex~]: use '-dim <count>' flag to set dimension count (default: 1)");
}
if (!x->multichannel) { // add inlets for non-multichannel mode
for (i=0; i < x->dimensions-1; i++)
inlet_new(&x->x_obj, &x->x_obj.ob_pd, &s_signal, &s_signal);
}
x->inlet_persistence = inlet_new(&x->x_obj, &x->x_obj.ob_pd, &s_signal, &s_signal);
pd_float((t_pd *)x->inlet_persistence, persistence);
outlet_new(&x->x_obj, &s_signal); // sampled value outlet
if (x->derivatives) {
x->derivatives_vector = (t_sample **)getbytes(MAX_DIMENSIONS * sizeof(t_sample *));
outlet_new(&x->x_obj, &s_signal); // derivatives outlet
if (!x->multichannel) { // add outlets for non-multichannel mode
for (i=0; i < x->dimensions-1; i++)
outlet_new(&x->x_obj, &s_signal);
}
}
(void)s;
return x;
}
void simplex_tilde_setup(void) {
// multichannel handling copied from https://github.com/Spacechild1/vstplugin/blob/3f0ed8a800ea238bf204a2ead940b2d1324ac909/pd/src/vstplugin~.cpp#L4122-L4136
#ifdef _WIN32
// get a handle to the module containing the Pd API functions.
// NB: GetModuleHandle("pd.dll") does not cover all cases.
HMODULE module;
if (GetModuleHandleEx(
GET_MODULE_HANDLE_EX_FLAG_FROM_ADDRESS | GET_MODULE_HANDLE_EX_FLAG_UNCHANGED_REFCOUNT,
(LPCSTR)&pd_typedmess, &module)) {
g_signal_setmultiout = (t_signal_setmultiout)(void *)GetProcAddress(
module, "signal_setmultiout");
}
#else
// search recursively, starting from the main program
g_signal_setmultiout = (t_signal_setmultiout)dlsym(
dlopen(NULL, RTLD_NOW), "signal_setmultiout");
#endif
simplex_tilde_class = class_new(
gensym("simplex~"),
(t_newmethod)simplex_tilde_new,
(t_method)simplex_tilde_free,
sizeof(t_simplex_tilde), CLASS_MULTICHANNEL, A_GIMME, 0);
CLASS_MAINSIGNALIN(simplex_tilde_class, t_simplex_tilde, f);
class_addmethod(simplex_tilde_class, (t_method)simplex_tilde_dsp, gensym("dsp"), 0);
class_addmethod(simplex_tilde_class, (t_method)simplex_tilde_seed, gensym("seed"), A_GIMME, 0);
class_addmethod(simplex_tilde_class, (t_method)simplex_tilde_normalize, gensym("normalize"), A_GIMME, 0);
class_addmethod(simplex_tilde_class, (t_method)simplex_tilde_coeffs, gensym("coeffs"), A_GIMME, 0);
class_addmethod(simplex_tilde_class, (t_method)simplex_tilde_octaves, gensym("octaves"), A_FLOAT, 0);
class_addmethod(simplex_tilde_class, (t_method)simplex_tilde_persistence, gensym("persistence"), A_FLOAT, 0);
}