void PaletteEditor::createRandomGradientAction()
{
int nstops = m_randomGradientSpinBox->value();
while (nstops < 2)
nstops = flam3_random01() * 128;
GradientStops stops;
for (int n = 0 ; n < nstops ; n++)
{
qreal idx = flam3_random01();
int r = flam3_random01() * 255;
int g = flam3_random01() * 255;
int b = flam3_random01() * 255;
GradientStop s(idx, QColor(r, g, b));
stops << s;
}
m_gradientStops->setStops(stops);
}
void
iterate (control_point *cp,
int n,
int fuse,
point *points)
{
int i, j, count_large = 0, count_nan = 0;
int xform_distrib[CHOOSE_XFORM_GRAIN];
double p[3], t, r, dr;
p[0] = points[0][0];
p[1] = points[0][1];
p[2] = points[0][2];
/*
* first, set up xform, which is an array that converts a uniform random
* variable into one with the distribution dictated by the density
* fields
*/
dr = 0.0;
for (i = 0; i < NXFORMS; i++)
dr += cp->xform[i].density;
dr = dr / CHOOSE_XFORM_GRAIN;
j = 0;
t = cp->xform[0].density;
r = 0.0;
for (i = 0; i < CHOOSE_XFORM_GRAIN; i++)
{
while (r >= t)
{
j++;
t += cp->xform[j].density;
}
xform_distrib[i] = j;
r += dr;
}
for (i = -fuse; i < n; i++)
{
/* FIXME: the following is supported only by gcc and c99 */
int fn = xform_distrib[g_random_int_range (0, CHOOSE_XFORM_GRAIN)];
double tx, ty, v;
if (p[0] > 100.0 || p[0] < -100.0 ||
p[1] > 100.0 || p[1] < -100.0)
count_large++;
if (p[0] != p[0])
count_nan++;
#define coef cp->xform[fn].c
#define vari cp->xform[fn].var
/* first compute the color coord */
p[2] = (p[2] + cp->xform[fn].color) / 2.0;
/* then apply the affine part of the function */
tx = coef[0][0] * p[0] + coef[1][0] * p[1] + coef[2][0];
ty = coef[0][1] * p[0] + coef[1][1] * p[1] + coef[2][1];
p[0] = p[1] = 0.0;
/* then add in proportional amounts of each of the variations */
v = vari[0];
if (v > 0.0)
{
/* linear */
double nx, ny;
nx = tx;
ny = ty;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[1];
if (v > 0.0)
{
/* sinusoidal */
double nx, ny;
nx = sin (tx);
ny = sin (ty);
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[2];
if (v > 0.0)
{
/* spherical */
double nx, ny;
double r2 = tx * tx + ty * ty + 1e-6;
nx = tx / r2;
ny = ty / r2;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[3];
if (v > 0.0)
{
/* swirl */
double r2 = tx * tx + ty * ty; /* /k here is fun */
double c1 = sin (r2);
double c2 = cos (r2);
double nx = c1 * tx - c2 * ty;
double ny = c2 * tx + c1 * ty;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[4];
if (v > 0.0)
{
/* horseshoe */
double a, c1, c2, nx, ny;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
a = atan2(tx, ty); /* times k here is fun */
else
a = 0.0;
c1 = sin (a);
c2 = cos (a);
nx = c1 * tx - c2 * ty;
ny = c2 * tx + c1 * ty;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[5];
if (v > 0.0)
{
/* polar */
double nx, ny;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
nx = atan2 (tx, ty) / G_PI;
else
nx = 0.0;
ny = sqrt (tx * tx + ty * ty) - 1.0;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[6];
if (v > 0.0)
{
/* bent */
double nx, ny;
nx = tx;
ny = ty;
if (nx < 0.0) nx = nx * 2.0;
if (ny < 0.0) ny = ny / 2.0;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[7];
if (v > 0.0)
{
/* folded handkerchief */
double theta, r2, nx, ny;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2( tx, ty );
else
theta = 0.0;
r2 = sqrt (tx * tx + ty * ty);
nx = sin (theta + r2) * r2;
ny = cos (theta - r2) * r2;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[8];
if (v > 0.0)
{
/* heart */
double theta, r2, nx, ny;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2( tx, ty );
else
theta = 0.0;
r2 = sqrt (tx * tx + ty * ty);
theta *= r2;
nx = sin (theta) * r2;
ny = cos (theta) * -r2;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[9];
if (v > 0.0)
{
/* disc */
double theta, r2, nx, ny;
if ( tx < -EPS || tx > EPS ||
ty < - EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0.0;
nx = tx * G_PI;
ny = ty * G_PI;
r2 = sqrt (nx * nx * ny * ny);
p[0] += v * sin(r2) * theta / G_PI;
p[1] += v * cos(r2) * theta / G_PI;
}
v = vari[10];
if (v > 0.0)
{
/* spiral */
double theta, r2;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2( tx, ty );
else
theta = 0.0;
r2 = sqrt (tx * tx + ty * ty) + 1e-6;
p[0] += v * (cos (theta) + sin (r2)) / r2;
p[1] += v * (cos (theta) + cos (r2)) / r2;
}
v = vari[11];
if (v > 0.0)
{
/* hyperbolic */
double theta, r2;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0.0;
r2 = sqrt (tx * tx + ty * ty) + 1e-6;
p[0] += v * sin (theta) / r2;
p[1] += v * cos (theta) * r2;
}
v = vari[12];
if (v > 0.0 )
{
double theta, r2;
/* diamond */
if ( tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0.0;
r2 = sqrt( tx * tx + ty * ty );
p[0] += v * sin (theta) * cos (r2);
p[1] += v * cos (theta) * sin (r2);
}
v = vari[13];
if (v > 0.0)
{
/* ex */
double theta, r2, n0, n1, m0, m1;
if ( tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0.0;
r2 = sqrt( tx * tx + ty * ty );
n0 = sin(theta + r2);
n1 = cos(theta - r2);
m0 = n0 * n0 * n0 * r2;
m1 = n1 * n1 * n1 * r2;
p[0] += v * (m0 + m1);
p[1] += v * (m0 - m1);
}
v = vari[14];
if ( v > 0.0)
{
double theta, r2, nx, ny;
/* julia */
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0.0;
if (flam3_random_bit ())
theta += G_PI;
r2 = pow (tx * tx + ty * ty, 0.25);
nx = r2 * cos (theta);
ny = r2 * sin (theta);
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[15];
if (v > 0.0)
{
/* waves */
double dx, dy, nx, ny;
dx = coef[2][0];
dy = coef[2][1];
nx = tx + coef[1][0] * sin (ty / ((dx * dx) + EPS));
ny = ty + coef[1][1] * sin (tx / ((dy * dy) + EPS));
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[16];
if (v > 0.0)
{
/* fisheye */
double theta, r2, nx, ny;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0.0;
r2 = sqrt (tx * tx + ty * ty);
r2 = 2 * r2 / (r2 + 1);
nx = r2 * cos (theta);
ny = r2 * sin (theta);
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[17];
if (v > 0.0)
{
/* popcorn */
double dx, dy, nx, ny;
dx = tan (3 * ty);
dy = tan (3 * tx);
nx = tx + coef[2][0] * sin (dx);
ny = ty + coef[2][1] * sin (dy);
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[18];
if (v > 0.0)
{
/* exponential */
double dx, dy, nx, ny;
dx = exp (tx - 1.0);
dy = G_PI * ty;
nx = cos (dy) * dx;
ny = sin (dy) * dx;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[19];
if (v > 0.0)
{
/* power */
double theta, r2, tsin, tcos, nx, ny;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0.0;
tsin = sin (theta);
tcos = cos (theta);
r2 = sqrt (tx * tx + ty * ty);
r2 = pow (r2, tsin);
nx = r2 * tcos;;
ny = r2 * tsin;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[20];
if (v > 0.0)
{
/* cosine */
double nx, ny;
nx = cos (tx * G_PI) * cosh (ty);
ny = -sin (tx * G_PI) * sinh (ty);
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[21];
if (v > 0.0)
{
/* rings */
double theta, r2, dx, nx, ny;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0;
dx = coef[2][0];
dx = dx * dx + EPS;
r2 = sqrt (tx * tx + ty * ty);
r2 = fmod (r2 + dx, 2 * dx) - dx + r2 * (1 - dx);
nx = cos (theta) * r2;
ny = sin (theta) * r2;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[22];
if (v > 0.0)
{
/* fan */
double theta, r2, dx, dy, dx2, nx, ny;
if (tx < -EPS || tx > EPS ||
ty < -EPS || ty > EPS)
theta = atan2 (tx, ty);
else
theta = 0.0;
dx = coef[2][0];
dy = coef[2][1];
dx = G_PI * (dx * dx + EPS);
dx2 = dx / 2;
r2 = sqrt (tx * tx + ty * ty );
theta += (fmod (theta + dy, dx) > dx2) ? -dx2: dx2;
nx = cos (theta) * r2;
ny = sin (theta) * r2;
p[0] += v * nx;
p[1] += v * ny;
}
v = vari[23];
if (v > 0.0)
{
/* eyefish */
double r2;
r2 = 2.0 * v / (sqrt(tx * tx + ty * ty) + 1.0);
p[0] += r2 * tx;
p[1] += r2 * ty;
}
v = vari[24];
if (v > 0.0)
{
/* bubble */
double r2;
r2 = v / ((tx * tx + ty * ty) / 4 + 1);
p[0] += r2 * tx;
p[1] += r2 * ty;
}
v = vari[25];
if (v > 0.0)
{
/* cylinder */
double nx;
nx = sin (tx);
p[0] += v * nx;
p[1] += v * ty;
}
v = vari[26];
if (v > 0.0)
{
/* noise */
double rx, sinr, cosr, nois;
rx = flam3_random01 () * 2 * G_PI;
sinr = sin (rx);
cosr = cos (rx);
nois = flam3_random01 ();
p[0] += v * nois * tx * cosr;
p[1] += v * nois * ty * sinr;
}
v = vari[27];
if (v > 0.0)
{
/* blur */
double rx, sinr, cosr, nois;
rx = flam3_random01 () * 2 * G_PI;
sinr = sin (rx);
cosr = cos (rx);
nois = flam3_random01 ();
p[0] += v * nois * cosr;
p[1] += v * nois * sinr;
}
v = vari[28];
if (v > 0.0)
{
/* gaussian */
double ang, sina, cosa, r2;
ang = flam3_random01 () * 2 * G_PI;
sina = sin (ang);
cosa = cos (ang);
r2 = v * (flam3_random01 () + flam3_random01 () + flam3_random01 () +
flam3_random01 () - 2.0);
p[0] += r2 * cosa;
p[1] += r2 * sina;
}
/* if fuse over, store it */
if (i >= 0)
{
points[i][0] = p[0];
points[i][1] = p[1];
points[i][2] = p[2];
}
}
}