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Diffstat (limited to 'variations.c')
| -rw-r--r-- | variations.c | 2566 |
1 files changed, 2566 insertions, 0 deletions
diff --git a/variations.c b/variations.c new file mode 100644 index 0000000..cc5c4c3 --- /dev/null +++ b/variations.c @@ -0,0 +1,2566 @@ +/* + FLAM3 - cosmic recursive fractal flames + Copyright (C) 1992-2009 Spotworks LLC + + This program is free software; you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see <http://www.gnu.org/licenses/>. +*/ + +#include "variations.h" +#include "interpolation.h" + +#define badvalue(x) (((x)!=(x))||((x)>1e10)||((x)<-1e10)) + +/* Wrap the sincos function for Macs */ +#if defined(__APPLE__) || defined(_MSC_VER) +#define sincos(x,s,c) *(s)=sin(x); *(c)=cos(x); +#else +extern void sincos(double x, double *s, double *c); +#endif + +#ifdef _MSC_VER +#define trunc (int) +#endif + +char *flam3_variation_names[1+flam3_nvariations] = { + "linear", + "sinusoidal", + "spherical", + "swirl", + "horseshoe", + "polar", + "handkerchief", + "heart", + "disc", + "spiral", + "hyperbolic", + "diamond", + "ex", + "julia", + "bent", + "waves", + "fisheye", + "popcorn", + "exponential", + "power", + "cosine", + "rings", + "fan", + "blob", + "pdj", + "fan2", + "rings2", + "eyefish", + "bubble", + "cylinder", + "perspective", + "noise", + "julian", + "juliascope", + "blur", + "gaussian_blur", + "radial_blur", + "pie", + "ngon", + "curl", + "rectangles", + "arch", + "tangent", + "square", + "rays", + "blade", + "secant2", + "twintrian", + "cross", + "disc2", + "super_shape", + "flower", + "conic", + "parabola", + "bent2", + "bipolar", + "boarders", + "butterfly", + "cell", + "cpow", + "curve", + "edisc", + "elliptic", + "escher", + "foci", + "lazysusan", + "loonie", + "pre_blur", + "modulus", + "oscilloscope", + "polar2", + "popcorn2", + "scry", + "separation", + "split", + "splits", + "stripes", + "wedge", + "wedge_julia", + "wedge_sph", + "whorl", + "waves2", + "exp", + "log", + "sin", + "cos", + "tan", + "sec", + "csc", + "cot", + "sinh", + "cosh", + "tanh", + "sech", + "csch", + "coth", + "auger", + "flux", + "mobius", + 0 +}; + +/* + * VARIATION FUNCTIONS + * must be of the form void (void *, double) + */ +void var0_linear (flam3_iter_helper *f, double weight) { + /* linear */ + /* nx = tx; + ny = ty; + p[0] += v * nx; + p[1] += v * ny; */ + + f->p0 += weight * f->tx; + f->p1 += weight * f->ty; +} + +void var1_sinusoidal (flam3_iter_helper *f, double weight) { + /* sinusoidal */ + /* nx = sin(tx); + ny = sin(ty); + p[0] += v * nx; + p[1] += v * ny; */ + + f->p0 += weight * sin(f->tx); + f->p1 += weight * sin(f->ty); +} + +void var2_spherical (flam3_iter_helper *f, double weight) { + /* spherical */ + /* double r2 = tx * tx + ty * ty + 1e-6; + nx = tx / r2; + ny = ty / r2; + p[0] += v * nx; + p[1] += v * ny; */ + + double r2 = weight / ( f->precalc_sumsq + EPS); + + f->p0 += r2 * f->tx; + f->p1 += r2 * f->ty; +} + +void var3_swirl (flam3_iter_helper *f, double weight) { + /* swirl */ + /* double r2 = tx * tx + ty * ty; /k here is fun + double c1 = sin(r2); + double c2 = cos(r2); + nx = c1 * tx - c2 * ty; + ny = c2 * tx + c1 * ty; + p[0] += v * nx; + p[1] += v * ny; */ + + double r2 = f->precalc_sumsq; + double c1,c2; + double nx,ny; + + sincos(r2,&c1,&c2); +// double c1 = sin(r2); +// double c2 = cos(r2); + nx = c1 * f->tx - c2 * f->ty; + ny = c2 * f->tx + c1 * f->ty; + + f->p0 += weight * nx; + f->p1 += weight * ny; +} + +void var4_horseshoe (flam3_iter_helper *f, double weight) { + /* horseshoe */ + /* a = atan2(tx, ty); + c1 = sin(a); + c2 = cos(a); + nx = c1 * tx - c2 * ty; + ny = c2 * tx + c1 * ty; + p[0] += v * nx; + p[1] += v * ny; */ + + double r = weight / (f->precalc_sqrt + EPS); + + f->p0 += (f->tx - f->ty) * (f->tx + f->ty) * r; + f->p1 += 2.0 * f->tx * f->ty * r; +} + +void var5_polar (flam3_iter_helper *f, double weight) { + /* polar */ + /* nx = atan2(tx, ty) / M_PI; + ny = sqrt(tx * tx + ty * ty) - 1.0; + p[0] += v * nx; + p[1] += v * ny; */ + + double nx = f->precalc_atan * M_1_PI; + double ny = f->precalc_sqrt - 1.0; + + f->p0 += weight * nx; + f->p1 += weight * ny; +} + +void var6_handkerchief (flam3_iter_helper *f, double weight) { + /* folded handkerchief */ + /* a = atan2(tx, ty); + r = sqrt(tx*tx + ty*ty); + p[0] += v * sin(a+r) * r; + p[1] += v * cos(a-r) * r; */ + + double a = f->precalc_atan; + double r = f->precalc_sqrt; + + f->p0 += weight * r * sin(a+r); + f->p1 += weight * r * cos(a-r); +} + +void var7_heart (flam3_iter_helper *f, double weight) { + /* heart */ + /* a = atan2(tx, ty); + r = sqrt(tx*tx + ty*ty); + a *= r; + p[0] += v * sin(a) * r; + p[1] += v * cos(a) * -r; */ + + double a = f->precalc_sqrt * f->precalc_atan; + double ca,sa; + double r = weight * f->precalc_sqrt; + + sincos(a,&sa,&ca); + + f->p0 += r * sa; + f->p1 += (-r) * ca; +} + +void var8_disc (flam3_iter_helper *f, double weight) { + /* disc */ + /* nx = tx * M_PI; + ny = ty * M_PI; + a = atan2(nx, ny); + r = sqrt(nx*nx + ny*ny); + p[0] += v * sin(r) * a / M_PI; + p[1] += v * cos(r) * a / M_PI; */ + + double a = f->precalc_atan * M_1_PI; + double r = M_PI * f->precalc_sqrt; + double sr,cr; + sincos(r,&sr,&cr); + + f->p0 += weight * sr * a; + f->p1 += weight * cr * a; +} + +void var9_spiral (flam3_iter_helper *f, double weight) { + /* spiral */ + /* a = atan2(tx, ty); + r = sqrt(tx*tx + ty*ty) + 1e-6; + p[0] += v * (cos(a) + sin(r)) / r; + p[1] += v * (sin(a) - cos(r)) / r; */ + + double r = f->precalc_sqrt + EPS; + double r1 = weight/r; + double sr,cr; + sincos(r,&sr,&cr); + + f->p0 += r1 * (f->precalc_cosa + sr); + f->p1 += r1 * (f->precalc_sina - cr); +} + +void var10_hyperbolic (flam3_iter_helper *f, double weight) { + /* hyperbolic */ + /* a = atan2(tx, ty); + r = sqrt(tx*tx + ty*ty) + 1e-6; + p[0] += v * sin(a) / r; + p[1] += v * cos(a) * r; */ + + double r = f->precalc_sqrt + EPS; + + f->p0 += weight * f->precalc_sina / r; + f->p1 += weight * f->precalc_cosa * r; +} + +void var11_diamond (flam3_iter_helper *f, double weight) { + /* diamond */ + /* a = atan2(tx, ty); + r = sqrt(tx*tx + ty*ty); + p[0] += v * sin(a) * cos(r); + p[1] += v * cos(a) * sin(r); */ + + double r = f->precalc_sqrt; + double sr,cr; + sincos(r,&sr,&cr); + + f->p0 += weight * f->precalc_sina * cr; + f->p1 += weight * f->precalc_cosa * sr; +} + +void var12_ex (flam3_iter_helper *f, double weight) { + /* ex */ + /* a = atan2(tx, ty); + r = sqrt(tx*tx + ty*ty); + n0 = sin(a+r); + n1 = cos(a-r); + m0 = n0 * n0 * n0 * r; + m1 = n1 * n1 * n1 * r; + p[0] += v * (m0 + m1); + p[1] += v * (m0 - m1); */ + + double a = f->precalc_atan; + double r = f->precalc_sqrt; + + double n0 = sin(a+r); + double n1 = cos(a-r); + + double m0 = n0 * n0 * n0 * r; + double m1 = n1 * n1 * n1 * r; + + f->p0 += weight * (m0 + m1); + f->p1 += weight * (m0 - m1); +} + +void var13_julia (flam3_iter_helper *f, double weight) { + /* julia */ + /* a = atan2(tx, ty)/2.0; + if (flam3_random_bit()) a += M_PI; + r = pow(tx*tx + ty*ty, 0.25); + nx = r * cos(a); + ny = r * sin(a); + p[0] += v * nx; + p[1] += v * ny; */ + + double r; + double a = 0.5 * f->precalc_atan; + double sa,ca; + + if (flam3_random_isaac_bit(f->rc)) //(flam3_random_bit()) + a += M_PI; + + r = weight * sqrt(f->precalc_sqrt); + + sincos(a,&sa,&ca); + + f->p0 += r * ca; + f->p1 += r * sa; +} + +void var14_bent (flam3_iter_helper *f, double weight) { + /* bent */ + /* 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; */ + + double nx = f->tx; + double ny = f->ty; + + if (nx < 0.0) + nx = nx * 2.0; + if (ny < 0.0) + ny = ny / 2.0; + + f->p0 += weight * nx; + f->p1 += weight * ny; +} + +void var15_waves (flam3_iter_helper *f, double weight) { + /* waves */ + /* 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; */ + + double c10 = f->xform->c[1][0]; + double c11 = f->xform->c[1][1]; + + double nx = f->tx + c10 * sin( f->ty * f->xform->waves_dx2 ); + double ny = f->ty + c11 * sin( f->tx * f->xform->waves_dy2 ); + + f->p0 += weight * nx; + f->p1 += weight * ny; +} + +void var16_fisheye (flam3_iter_helper *f, double weight) { + /* fisheye */ + /* a = atan2(tx, ty); + r = sqrt(tx*tx + ty*ty); + r = 2 * r / (r + 1); + nx = r * cos(a); + ny = r * sin(a); + p[0] += v * nx; + p[1] += v * ny; */ + + double r = f->precalc_sqrt; + + r = 2 * weight / (r+1); + + f->p0 += r * f->ty; + f->p1 += r * f->tx; +} + +void var17_popcorn (flam3_iter_helper *f, double weight) { + /* popcorn */ + /* 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; */ + + double dx = tan(3*f->ty); + double dy = tan(3*f->tx); + + double nx = f->tx + f->xform->c[2][0] * sin(dx); + double ny = f->ty + f->xform->c[2][1] * sin(dy); + + f->p0 += weight * nx; + f->p1 += weight * ny; +} + +void var18_exponential (flam3_iter_helper *f, double weight) { + /* exponential */ + /* dx = exp(tx-1.0); + dy = M_PI * ty; + nx = cos(dy) * dx; + ny = sin(dy) * dx; + p[0] += v * nx; + p[1] += v * ny; */ + + double dx = weight * exp(f->tx - 1.0); + double dy = M_PI * f->ty; + double sdy,cdy; + + sincos(dy,&sdy,&cdy); + + + f->p0 += dx * cdy; + f->p1 += dx * sdy; +} + +void var19_power (flam3_iter_helper *f, double weight) { + /* power */ + /* a = atan2(tx, ty); + sa = sin(a); + r = sqrt(tx*tx + ty*ty); + r = pow(r, sa); + nx = r * precalc_cosa; + ny = r * sa; + p[0] += v * nx; + p[1] += v * ny; */ + + double r = weight * pow(f->precalc_sqrt, f->precalc_sina); + + f->p0 += r * f->precalc_cosa; + f->p1 += r * f->precalc_sina; +} + +void var20_cosine (flam3_iter_helper *f, double weight) { + /* cosine */ + /* nx = cos(tx * M_PI) * cosh(ty); + ny = -sin(tx * M_PI) * sinh(ty); + p[0] += v * nx; + p[1] += v * ny; */ + + double a = f->tx * M_PI; + double sa,ca; + double nx,ny; + + sincos(a,&sa,&ca); + nx = ca * cosh(f->ty); + ny = -sa * sinh(f->ty); + + f->p0 += weight * nx; + f->p1 += weight * ny; +} + +void var21_rings (flam3_iter_helper *f, double weight) { + /* rings */ + /* dx = coef[2][0]; + dx = dx * dx + EPS; + r = sqrt(tx*tx + ty*ty); + r = fmod(r + dx, 2*dx) - dx + r*(1-dx); + a = atan2(tx, ty); + nx = cos(a) * r; + ny = sin(a) * r; + p[0] += v * nx; + p[1] += v * ny; */ + + double dx = f->xform->c[2][0] * f->xform->c[2][0] + EPS; + double r = f->precalc_sqrt; + r = weight * (fmod(r+dx, 2*dx) - dx + r * (1 - dx)); + + f->p0 += r * f->precalc_cosa; + f->p1 += r * f->precalc_sina; +} + +void var22_fan (flam3_iter_helper *f, double weight) { + /* fan */ + /* dx = coef[2][0]; + dy = coef[2][1]; + dx = M_PI * (dx * dx + EPS); + dx2 = dx/2; + a = atan(tx,ty); + r = sqrt(tx*tx + ty*ty); + a += (fmod(a+dy, dx) > dx2) ? -dx2 : dx2; + nx = cos(a) * r; + ny = sin(a) * r; + p[0] += v * nx; + p[1] += v * ny; */ + + double dx = M_PI * (f->xform->c[2][0] * f->xform->c[2][0] + EPS); + double dy = f->xform->c[2][1]; + double dx2 = 0.5 * dx; + + double a = f->precalc_atan; + double r = weight * f->precalc_sqrt; + double sa,ca; + + a += (fmod(a+dy,dx) > dx2) ? -dx2 : dx2; + sincos(a,&sa,&ca); + + f->p0 += r * ca; + f->p1 += r * sa; +} + +void var23_blob (flam3_iter_helper *f, double weight) { + /* blob */ + /* a = atan2(tx, ty); + r = sqrt(tx*tx + ty*ty); + r = r * (bloblow + (blobhigh-bloblow) * (0.5 + 0.5 * sin(blobwaves * a))); + nx = sin(a) * r; + ny = cos(a) * r; + + p[0] += v * nx; + p[1] += v * ny; */ + + double r = f->precalc_sqrt; + double a = f->precalc_atan; + double bdiff = f->xform->blob_high - f->xform->blob_low; + + r = r * (f->xform->blob_low + + bdiff * (0.5 + 0.5 * sin(f->xform->blob_waves * a))); + + f->p0 += weight * f->precalc_sina * r; + f->p1 += weight * f->precalc_cosa * r; +} + +void var24_pdj (flam3_iter_helper *f, double weight) { + /* pdj */ + /* nx1 = cos(pdjb * tx); + nx2 = sin(pdjc * tx); + ny1 = sin(pdja * ty); + ny2 = cos(pdjd * ty); + + p[0] += v * (ny1 - nx1); + p[1] += v * (nx2 - ny2); */ + + double nx1 = cos(f->xform->pdj_b * f->tx); + double nx2 = sin(f->xform->pdj_c * f->tx); + double ny1 = sin(f->xform->pdj_a * f->ty); + double ny2 = cos(f->xform->pdj_d * f->ty); + + f->p0 += weight * (ny1 - nx1); + f->p1 += weight * (nx2 - ny2); +} + +void var25_fan2 (flam3_iter_helper *f, double weight) { + /* fan2 */ + /* a = precalc_atan; + r = precalc_sqrt; + + dy = fan2y; + dx = M_PI * (fan2x * fan2x + EPS); + dx2 = dx / 2.0; + + t = a + dy - dx * (int)((a + dy)/dx); + + if (t > dx2) + a = a - dx2; + else + a = a + dx2; + + nx = sin(a) * r; + ny = cos(a) * r; + + p[0] += v * nx; + p[1] += v * ny; */ + + double dy = f->xform->fan2_y; + double dx = M_PI * (f->xform->fan2_x * f->xform->fan2_x + EPS); + double dx2 = 0.5 * dx; + double a = f->precalc_atan; + double sa,ca; + double r = weight * f->precalc_sqrt; + + double t = a + dy - dx * (int)((a + dy)/dx); + + if (t>dx2) + a = a-dx2; + else + a = a+dx2; + + sincos(a,&sa,&ca); + + f->p0 += r * sa; + f->p1 += r * ca; +} + +void var26_rings2 (flam3_iter_helper *f, double weight) { + /* rings2 */ + /* r = precalc_sqrt; + dx = rings2val * rings2val + EPS; + r += dx - 2.0*dx*(int)((r + dx)/(2.0 * dx)) - dx + r * (1.0-dx); + nx = precalc_sina * r; + ny = precalc_cosa * r; + p[0] += v * nx; + p[1] += v * ny; */ + + double r = f->precalc_sqrt; + double dx = f->xform->rings2_val * f->xform->rings2_val + EPS; + + r += -2.0*dx*(int)((r+dx)/(2.0*dx)) + r * (1.0-dx); + + f->p0 += weight * f->precalc_sina * r; + f->p1 += weight * f->precalc_cosa * r; +} + +void var27_eyefish (flam3_iter_helper *f, double weight) { + /* eyefish */ + /* r = 2.0 * v / (precalc_sqrt + 1.0); + p[0] += r*tx; + p[1] += r*ty; */ + + double r = (weight * 2.0) / (f->precalc_sqrt + 1.0); + + f->p0 += r * f->tx; + f->p1 += r * f->ty; +} + +void var28_bubble (flam3_iter_helper *f, double weight) { + /* bubble */ + + double r = weight / (0.25 * (f->precalc_sumsq) + 1); + + f->p0 += r * f->tx; + f->p1 += r * f->ty; +} + +void var29_cylinder (flam3_iter_helper *f, double weight) { + /* cylinder (01/06) */ + + f->p0 += weight * sin(f->tx); + f->p1 += weight * f->ty; +} + +void var30_perspective (flam3_iter_helper *f, double weight) { + /* perspective (01/06) */ + + double t = 1.0 / (f->xform->perspective_dist - f->ty * f->xform->persp_vsin); + + f->p0 += weight * f->xform->perspective_dist * f->tx * t; + f->p1 += weight * f->xform->persp_vfcos * f->ty * t; +} + +void var31_noise (flam3_iter_helper *f, double weight) { + /* noise (03/06) */ + + double tmpr, sinr, cosr, r; + + tmpr = flam3_random_isaac_01(f->rc) * 2 * M_PI; + sincos(tmpr,&sinr,&cosr); + + r = weight * flam3_random_isaac_01(f->rc); + + f->p0 += f->tx * r * cosr; + f->p1 += f->ty * r * sinr; +} + +void var32_juliaN_generic (flam3_iter_helper *f, double weight) { + /* juliaN (03/06) */ + + int t_rnd = trunc((f->xform->julian_rN)*flam3_random_isaac_01(f->rc)); + + double tmpr = (f->precalc_atanyx + 2 * M_PI * t_rnd) / f->xform->julian_power; + + double r = weight * pow(f->precalc_sumsq, f->xform->julian_cn); + double sina, cosa; + sincos(tmpr,&sina,&cosa); + + f->p0 += r * cosa; + f->p1 += r * sina; +} + +void var33_juliaScope_generic (flam3_iter_helper *f, double weight) { + /* juliaScope (03/06) */ + + int t_rnd = trunc((f->xform->juliascope_rN) * flam3_random_isaac_01(f->rc)); + + double tmpr, r; + double sina, cosa; + + if ((t_rnd & 1) == 0) + tmpr = (2 * M_PI * t_rnd + f->precalc_atanyx) / f->xform->juliascope_power; + else + tmpr = (2 * M_PI * t_rnd - f->precalc_atanyx) / f->xform->juliascope_power; + + sincos(tmpr,&sina,&cosa); + + r = weight * pow(f->precalc_sumsq, f->xform->juliascope_cn); + + f->p0 += r * cosa; + f->p1 += r * sina; +} + +void var34_blur (flam3_iter_helper *f, double weight) { + /* blur (03/06) */ + + double tmpr, sinr, cosr, r; + + tmpr = flam3_random_isaac_01(f->rc) * 2 * M_PI; + sincos(tmpr,&sinr,&cosr); + + r = weight * flam3_random_isaac_01(f->rc); + + f->p0 += r * cosr; + f->p1 += r * sinr; +} + +void var35_gaussian (flam3_iter_helper *f, double weight) { + /* gaussian (09/06) */ + + double ang, r, sina, cosa; + + ang = flam3_random_isaac_01(f->rc) * 2 * M_PI; + sincos(ang,&sina,&cosa); + + r = weight * ( flam3_random_isaac_01(f->rc) + flam3_random_isaac_01(f->rc) + + flam3_random_isaac_01(f->rc) + flam3_random_isaac_01(f->rc) - 2.0 ); + + f->p0 += r * cosa; + f->p1 += r * sina; +} + +void var36_radial_blur (flam3_iter_helper *f, double weight) { + /* radial blur (09/06) */ + /* removed random storage 6/07 */ + + double rndG, ra, rz, tmpa, sa, ca; + + /* Get pseudo-gaussian */ + rndG = weight * (flam3_random_isaac_01(f->rc) + flam3_random_isaac_01(f->rc) + + flam3_random_isaac_01(f->rc) + flam3_random_isaac_01(f->rc) - 2.0); + + /* Calculate angle & zoom */ + ra = f->precalc_sqrt; + tmpa = f->precalc_atanyx + f->xform->radialBlur_spinvar*rndG; + sincos(tmpa,&sa,&ca); + rz = f->xform->radialBlur_zoomvar * rndG - 1; + + f->p0 += ra * ca + rz * f->tx; + f->p1 += ra * sa + rz * f->ty; +} + +void var37_pie(flam3_iter_helper *f, double weight) { + /* pie by Joel Faber (June 2006) */ + + double a, r, sa, ca; + int sl; + + sl = (int) (flam3_random_isaac_01(f->rc) * f->xform->pie_slices + 0.5); + a = f->xform->pie_rotation + + 2.0 * M_PI * (sl + flam3_random_isaac_01(f->rc) * f->xform->pie_thickness) / f->xform->pie_slices; + r = weight * flam3_random_isaac_01(f->rc); + sincos(a,&sa,&ca); + + f->p0 += r * ca; + f->p1 += r * sa; +} + +void var38_ngon(flam3_iter_helper *f, double weight) { + /* ngon by Joel Faber (09/06) */ + + double r_factor,theta,phi,b, amp; + + r_factor = pow(f->precalc_sumsq, f->xform->ngon_power/2.0); + + theta = f->precalc_atanyx; + b = 2*M_PI/f->xform->ngon_sides; + + phi = theta - (b*floor(theta/b)); + if (phi > b/2) + phi -= b; + + amp = f->xform->ngon_corners * (1.0 / (cos(phi) + EPS) - 1.0) + f->xform->ngon_circle; + amp /= (r_factor + EPS); + + f->p0 += weight * f->tx * amp; + f->p1 += weight * f->ty * amp; +} + +void var39_curl(flam3_iter_helper *f, double weight) +{ + double re = 1.0 + f->xform->curl_c1 * f->tx + f->xform->curl_c2 * (f->tx * f->tx - f->ty * f->ty); + double im = f->xform->curl_c1 * f->ty + 2.0 * f->xform->curl_c2 * f->tx * f->ty; + + double r = weight / (re*re + im*im); + + f->p0 += (f->tx * re + f->ty * im) * r; + f->p1 += (f->ty * re - f->tx * im) * r; +} + +void var40_rectangles(flam3_iter_helper *f, double weight) +{ + if (f->xform->rectangles_x==0) + f->p0 += weight * f->tx; + else + f->p0 += weight * ((2 * floor(f->tx / f->xform->rectangles_x) + 1) * f->xform->rectangles_x - f->tx); + + if (f->xform->rectangles_y==0) + f->p1 += weight * f->ty; + else + f->p1 += weight * ((2 * floor(f->ty / f->xform->rectangles_y) + 1) * f->xform->rectangles_y - f->ty); + +} + +void var41_arch(flam3_iter_helper *f, double weight) +{ + /* Z+ variation Jan 07 + procedure TXForm.Arch; + var + sinr, cosr: double; + begin + SinCos(random * vars[29]*pi, sinr, cosr); + FPx := FPx + sinr*vars[29]; + FPy := FPy + sqr(sinr)/cosr*vars[29]; + end; + */ + + /* + * !!! Note !!! + * This code uses the variation weight in a non-standard fashion, and + * it may change or even be removed in future versions of flam3. + */ + + double ang = flam3_random_isaac_01(f->rc) * weight * M_PI; + double sinr,cosr; + sincos(ang,&sinr,&cosr); + + f->p0 += weight * sinr; + f->p1 += weight * (sinr*sinr)/cosr; + +} + +void var42_tangent(flam3_iter_helper *f, double weight) +{ + /* Z+ variation Jan 07 + procedure TXForm.Tangent; + begin + FPx := FPx + vars[30] * (sin(FTx)/cos(FTy)); + FPy := FPy + vars[30] * (sin(FTy)/cos(FTy)); + end; + */ + + f->p0 += weight * sin(f->tx)/cos(f->ty); + f->p1 += weight * tan(f->ty); + +} + +void var43_square(flam3_iter_helper *f, double weight) +{ + /* Z+ variation Jan 07 + procedure TXForm.SquareBlur; + begin + FPx := FPx + vars[31] * (random - 0.5); + FPy := FPy + vars[31] * (random - 0.5); + end; + */ + + f->p0 += weight * (flam3_random_isaac_01(f->rc) - 0.5); + f->p1 += weight * (flam3_random_isaac_01(f->rc) - 0.5); + +} + +void var44_rays(flam3_iter_helper *f, double weight) +{ + /* Z+ variation Jan 07 + procedure TXForm.Rays; + var + r, sinr, cosr, tgr: double; + begin + SinCos(random * vars[32]*pi, sinr, cosr); + r := vars[32] / (sqr(FTx) + sqr(FTy) + EPS); + tgr := sinr/cosr; + FPx := FPx + tgr * (cos(FTx)*vars[32]) * r; + FPy := FPy + tgr * (sin(FTy)*vars[32]) * r; + end; + */ + + /* + * !!! Note !!! + * This code uses the variation weight in a non-standard fashion, and + * it may change or even be removed in future versions of flam3. + */ + + double ang = weight * flam3_random_isaac_01(f->rc) * M_PI; + double r = weight / (f->precalc_sumsq + EPS); + double tanr = weight * tan(ang) * r; + + + f->p0 += tanr * cos(f->tx); + f->p1 += tanr * sin(f->ty); + +} + +void var45_blade(flam3_iter_helper *f, double weight) +{ + /* Z+ variation Jan 07 + procedure TXForm.Blade; + var + r, sinr, cosr: double; + begin + r := sqrt(sqr(FTx) + sqr(FTy))*vars[33]; + SinCos(r*random, sinr, cosr); + FPx := FPx + vars[33] * FTx * (cosr + sinr); + FPy := FPy + vars[33] * FTx * (cosr - sinr); + end; + */ + + /* + * !!! Note !!! + * This code uses the variation weight in a non-standard fashion, and + * it may change or even be removed in future versions of flam3. + */ + + double r = flam3_random_isaac_01(f->rc) * weight * f->precalc_sqrt; + double sinr,cosr; + + sincos(r,&sinr,&cosr); + + f->p0 += weight * f->tx * (cosr + sinr); + f->p1 += weight * f->tx * (cosr - sinr); + +} + +void var46_secant2(flam3_iter_helper *f, double weight) +{ + /* Intended as a 'fixed' version of secant */ + + /* + * !!! Note !!! + * This code uses the variation weight in a non-standard fashion, and + * it may change or even be removed in future versions of flam3. + */ + + double r = weight * f->precalc_sqrt; + double cr = cos(r); + double icr = 1.0/cr; + + f->p0 += weight * f->tx; + + if (cr<0) + f->p1 += weight*(icr + 1); + else + f->p1 += weight*(icr - 1); +} + +void var47_twintrian(flam3_iter_helper *f, double weight) +{ + /* Z+ variation Jan 07 + procedure TXForm.TwinTrian; + var + r, diff, sinr, cosr: double; + begin + r := sqrt(sqr(FTx) + sqr(FTy))*vars[35]; + SinCos(r*random, sinr, cosr); + diff := Math.Log10(sinr*sinr)+cosr; + FPx := FPx + vars[35] * FTx * diff; + FPy := FPy + vars[35] * FTx * (diff - (sinr*pi)); + end; + */ + + /* + * !!! Note !!! + * This code uses the variation weight in a non-standard fashion, and + * it may change or even be removed in future versions of flam3. + */ + + double r = flam3_random_isaac_01(f->rc) * weight * f->precalc_sqrt; + double sinr,cosr,diff; + + sincos(r,&sinr,&cosr); + diff = log10(sinr*sinr)+cosr; + + if (badvalue(diff)) + diff = -30.0; + + f->p0 += weight * f->tx * diff; + f->p1 += weight * f->tx * (diff - sinr*M_PI); + +} + +void var48_cross(flam3_iter_helper *f, double weight) +{ + /* Z+ variation Jan 07 + procedure TXForm.Cross; + var + r: double; + begin + r := vars[36]*sqrt(1/(sqr(sqr(FTx)-sqr(FTy))+EPS)); + FPx := FPx + FTx * r; + FPy := FPy + FTy * r; + end; + */ + + double s = f->tx*f->tx - f->ty*f->ty; + double r = weight * sqrt(1.0 / (s*s+EPS)); + + f->p0 += f->tx * r; + f->p1 += f->ty * r; + +} + +void var49_disc2(flam3_iter_helper *f, double weight) +{ + /* Z+ variation Jan 07 + c := vvar/PI; + k := rot*PI; + sinadd := Sin(add); + cosadd := Cos(add); + cosadd := cosadd - 1; + if (add > 2*PI) then begin + cosadd := cosadd * (1 + add - 2*PI); + sinadd := sinadd * (1 + add - 2*PI) + end + else if (add < -2*PI) then begin + cosadd := cosadd * (1 + add + 2*PI); + sinadd := sinadd * (1 + add + 2*PI) + end + end; + procedure TVariationDisc2.CalcFunction; + var + r, sinr, cosr: extended; + begin + SinCos(k * (FTx^+FTy^), sinr, cosr); //rot*PI + r := c * arctan2(FTx^, FTy^); //vvar/PI + FPx^ := FPx^ + (sinr + cosadd) * r; + FPy^ := FPy^ + (cosr + sinadd) * r; + */ + + double r,t,sinr, cosr; + + t = f->xform->disc2_timespi * (f->tx + f->ty); + sincos(t,&sinr,&cosr); + r = weight * f->precalc_atan / M_PI; + + f->p0 += (sinr + f->xform->disc2_cosadd) * r; + f->p1 += (cosr + f->xform->disc2_sinadd) * r; + +} + +void var50_supershape(flam3_iter_helper *f, double weight) { + + double theta; + double t1,t2,r; + double st,ct; + double myrnd; + + theta = f->xform->super_shape_pm_4 * f->precalc_atanyx + M_PI_4; + + sincos(theta,&st,&ct); + + t1 = fabs(ct); + t1 = pow(t1,f->xform->super_shape_n2); + + t2 = fabs(st); + t2 = pow(t2,f->xform->super_shape_n3); + + myrnd = f->xform->super_shape_rnd; + + r = weight * ( (myrnd*flam3_random_isaac_01(f->rc) + (1.0-myrnd)*f->precalc_sqrt) - f->xform->super_shape_holes) + * pow(t1+t2,f->xform->super_shape_pneg1_n1) / f->precalc_sqrt; + + f->p0 += r * f->tx; + f->p1 += r * f->ty; +} + +void var51_flower(flam3_iter_helper *f, double weight) { + /* cyberxaos, 4/2007 */ + /* theta := arctan2(FTy^, FTx^); + r := (random-holes)*cos(petals*theta); + FPx^ := FPx^ + vvar*r*cos(theta); + FPy^ := FPy^ + vvar*r*sin(theta);*/ + + double theta = f->precalc_atanyx; + double r = weight * (flam3_random_isaac_01(f->rc) - f->xform->flower_holes) * + cos(f->xform->flower_petals*theta) / f->precalc_sqrt; + + f->p0 += r * f->tx; + f->p1 += r * f->ty; +} + +void var52_conic(flam3_iter_helper *f, double weight) { + /* cyberxaos, 4/2007 */ + /* theta := arctan2(FTy^, FTx^); + r := (random - holes)*((eccentricity)/(1+eccentricity*cos(theta))); + FPx^ := FPx^ + vvar*r*cos(theta); + FPy^ := FPy^ + vvar*r*sin(theta); */ + + double ct = f->tx / f->precalc_sqrt; + double r = weight * (flam3_random_isaac_01(f->rc) - f->xform->conic_holes) * + f->xform->conic_eccentricity / (1 + f->xform->conic_eccentricity*ct) / f->precalc_sqrt; + + f->p0 += r * f->tx; + f->p1 += r * f->ty; +} + +void var53_parabola(flam3_iter_helper *f, double weight) { + /* cyberxaos, 4/2007 */ + /* r := sqrt(sqr(FTx^) + sqr(FTy^)); + FPx^ := FPx^ + parabola_height*vvar*sin(r)*sin(r)*random; + FPy^ := FPy^ + parabola_width*vvar*cos(r)*random; */ + + double r = f->precalc_sqrt; + double sr,cr; + + sincos(r,&sr,&cr); + + f->p0 += f->xform->parabola_height * weight * sr*sr * flam3_random_isaac_01(f->rc); + f->p1 += f->xform->parabola_width * weight * cr * flam3_random_isaac_01(f->rc); + +} + +void var54_bent2 (flam3_iter_helper *f, double weight) { + + /* Bent2 in the Apophysis Plugin Pack */ + + double nx = f->tx; + double ny = f->ty; + + if (nx < 0.0) + nx = nx * f->xform->bent2_x; + if (ny < 0.0) + ny = ny * f->xform->bent2_y; + + f->p0 += weight * nx; + f->p1 += weight * ny; +} + +void var55_bipolar (flam3_iter_helper *f, double weight) { + + /* Bipolar in the Apophysis Plugin Pack */ + + double x2y2 = f->precalc_sumsq; + double t = x2y2+1; + double x2 = 2*f->tx; + double ps = -M_PI_2 * f->xform->bipolar_shift; + double y = 0.5 * atan2(2.0 * f->ty, x2y2 - 1.0) + ps; + + if (y > M_PI_2) + y = -M_PI_2 + fmod(y + M_PI_2, M_PI); + else if (y < -M_PI_2) + y = M_PI_2 - fmod(M_PI_2 - y, M_PI); + + f->p0 += weight * 0.25 * M_2_PI * log ( (t+x2) / (t-x2) ); + f->p1 += weight * M_2_PI * y; +} + +void var56_boarders (flam3_iter_helper *f, double weight) { + + /* Boarders in the Apophysis Plugin Pack */ + + double roundX, roundY, offsetX, offsetY; + + roundX = rint(f->tx); + roundY = rint(f->ty); + offsetX = f->tx - roundX; + offsetY = f->ty - roundY; + + if (flam3_random_isaac_01(f->rc) >= 0.75) { + f->p0 += weight*(offsetX*0.5 + roundX); + f->p1 += weight*(offsetY*0.5 + roundY); + } else { + + if (fabs(offsetX) >= fabs(offsetY)) { + + if (offsetX >= 0.0) { + f->p0 += weight*(offsetX*0.5 + roundX + 0.25); + f->p1 += weight*(offsetY*0.5 + roundY + 0.25 * offsetY / offsetX); + } else { + f->p0 += weight*(offsetX*0.5 + roundX - 0.25); + f->p1 += weight*(offsetY*0.5 + roundY - 0.25 * offsetY / offsetX); + } + + } else { + + if (offsetY >= 0.0) { + f->p1 += weight*(offsetY*0.5 + roundY + 0.25); + f->p0 += weight*(offsetX*0.5 + roundX + offsetX/offsetY*0.25); + } else { + f->p1 += weight*(offsetY*0.5 + roundY - 0.25); + f->p0 += weight*(offsetX*0.5 + roundX - offsetX/offsetY*0.25); + } + } + } +} + +void var57_butterfly (flam3_iter_helper *f, double weight) { + + /* Butterfly in the Apophysis Plugin Pack */ + + /* wx is weight*4/sqrt(3*pi) */ + double wx = weight*1.3029400317411197908970256609023; + + double y2 = f->ty*2.0; + double r = wx*sqrt(fabs(f->ty * f->tx)/(EPS + f->tx*f->tx + y2*y2)); + + f->p0 += r * f->tx; + f->p1 += r * y2; + +} + +void var58_cell (flam3_iter_helper *f, double weight) { + + /* Cell in the Apophysis Plugin Pack */ + + double inv_cell_size = 1.0/f->xform->cell_size; + + /* calculate input cell */ + int x = floor(f->tx*inv_cell_size); + int y = floor(f->ty*inv_cell_size); + + /* Offset from cell origin */ + double dx = f->tx - x*f->xform->cell_size; + double dy = f->ty - y*f->xform->cell_size; + + /* interleave cells */ + if (y >= 0) { + if (x >= 0) { + y *= 2; + x *= 2; + } else { + y *= 2; + x = -(2*x+1); + } + } else { + if (x >= 0) { + y = -(2*y+1); + x *= 2; + } else { + y = -(2*y+1); + x = -(2*x+1); + } + } + + f->p0 += weight * (dx + x*f->xform->cell_size); + f->p1 -= weight * (dy + y*f->xform->cell_size); + +} + +void var59_cpow (flam3_iter_helper *f, double weight) { + + /* Cpow in the Apophysis Plugin Pack */ + + double a = f->precalc_atanyx; + double lnr = 0.5 * log(f->precalc_sumsq); + double va = 2.0 * M_PI / f->xform->cpow_power; + double vc = f->xform->cpow_r / f->xform->cpow_power; + double vd = f->xform->cpow_i / f->xform->cpow_power; + double ang = vc*a + vd*lnr + va*floor(f->xform->cpow_power*flam3_random_isaac_01(f->rc)); + double sa,ca; + + double m = weight * exp(vc * lnr - vd * a); + + sincos(ang,&sa,&ca); + + f->p0 += m * ca; + f->p1 += m * sa; + +} + +void var60_curve (flam3_iter_helper *f, double weight) { + + /* Curve in the Apophysis Plugin Pack */ + + double pc_xlen = f->xform->curve_xlength*f->xform->curve_xlength; + double pc_ylen = f->xform->curve_ylength*f->xform->curve_ylength; + + if (pc_xlen<1E-20) pc_xlen = 1E-20; + + if (pc_ylen<1E-20) pc_ylen = 1E-20; + + f->p0 += weight * (f->tx + f->xform->curve_xamp * exp(-f->ty*f->ty/pc_xlen)); + f->p1 += weight * (f->ty + f->xform->curve_yamp * exp(-f->tx*f->tx/pc_ylen)); + +} + +void var61_edisc (flam3_iter_helper *f, double weight) { + + /* Edisc in the Apophysis Plugin Pack */ + + double tmp = f->precalc_sumsq + 1.0; + double tmp2 = 2.0 * f->tx; + double r1 = sqrt(tmp+tmp2); + double r2 = sqrt(tmp-tmp2); + double xmax = (r1+r2) * 0.5; + double a1 = log(xmax + sqrt(xmax - 1.0)); + double a2 = -acos(f->tx/xmax); + double w = weight / 11.57034632; + double snv,csv,snhu,cshu; + + sincos(a1,&snv,&csv); + + snhu = sinh(a2); + cshu = cosh(a2); + + if (f->ty > 0.0) snv = -snv; + + f->p0 += w * cshu * csv; + f->p1 += w * snhu * snv; + +} + +void var62_elliptic (flam3_iter_helper *f, double weight) { + + /* Elliptic in the Apophysis Plugin Pack */ + + double tmp = f->precalc_sumsq + 1.0; + double x2 = 2.0 * f->tx; + double xmax = 0.5 * (sqrt(tmp+x2) + sqrt(tmp-x2)); + double a = f->tx / xmax; + double b = 1.0 - a*a; + double ssx = xmax - 1.0; + double w = weight / M_PI_2; + + if (b<0) + b = 0; + else + b = sqrt(b); + + if (ssx<0) + ssx = 0; + else + ssx = sqrt(ssx); + + f->p0 += w * atan2(a,b); + + if (f->ty > 0) + f->p1 += w * log(xmax + ssx); + else + f->p1 -= w * log(xmax + ssx); + +} + +void var63_escher (flam3_iter_helper *f, double weight) { + + /* Escher in the Apophysis Plugin Pack */ + + double seb,ceb; + double vc,vd; + double m,n; + double sn,cn; + + double a = f->precalc_atanyx; + double lnr = 0.5 * log(f->precalc_sumsq); + + sincos(f->xform->escher_beta,&seb,&ceb); + + vc = 0.5 * (1.0 + ceb); + vd = 0.5 * seb; + + m = weight * exp(vc*lnr - vd*a); + n = vc*a + vd*lnr; + + sincos(n,&sn,&cn); + + f->p0 += m * cn; + f->p1 += m * sn; + +} + +void var64_foci (flam3_iter_helper *f, double weight) { + + /* Foci in the Apophysis Plugin Pack */ + + double expx = exp(f->tx) * 0.5; + double expnx = 0.25 / expx; + double sn,cn,tmp; + + sincos(f->ty,&sn,&cn); + tmp = weight/(expx + expnx - cn); + + f->p0 += tmp * (expx - expnx); + f->p1 += tmp * sn; + +} + +void var65_lazysusan (flam3_iter_helper *f, double weight) { + + /* Lazysusan in the Apophysis Plugin Pack */ + + double x = f->tx - f->xform->lazysusan_x; + double y = f->ty + f->xform->lazysusan_y; + double r = sqrt(x*x + y*y); + double sina, cosa; + + if (r<weight) { + double a = atan2(y,x) + f->xform->lazysusan_spin + + f->xform->lazysusan_twist*(weight-r); + sincos(a,&sina,&cosa); + r = weight * r; + + f->p0 += r*cosa + f->xform->lazysusan_x; + f->p1 += r*sina - f->xform->lazysusan_y; + } else { + + r = weight * (1.0 + f->xform->lazysusan_space / r); + + f->p0 += r*x + f->xform->lazysusan_x; + f->p1 += r*y - f->xform->lazysusan_y; + + } + +} + +void var66_loonie (flam3_iter_helper *f, double weight) { + + /* Loonie in the Apophysis Plugin Pack */ + + /* + * !!! Note !!! + * This code uses the variation weight in a non-standard fashion, and + * it may change or even be removed in future versions of flam3. + */ + + double r2 = f->precalc_sumsq; + double w2 = weight*weight; + + if (r2 < w2) { + double r = weight * sqrt(w2/r2 - 1.0); + f->p0 += r * f->tx; + f->p1 += r * f->ty; + } else { + f->p0 += weight * f->tx; + f->p1 += weight * f->ty; + } + +} + +void var67_pre_blur (flam3_iter_helper *f, double weight) { + + /* pre-xform: PreBlur (Apo 2.08) */ + + /* Get pseudo-gaussian */ + double rndG = weight * (flam3_random_isaac_01(f->rc) + flam3_random_isaac_01(f->rc) + + flam3_random_isaac_01(f->rc) + flam3_random_isaac_01(f->rc) - 2.0); + double rndA = flam3_random_isaac_01(f->rc) * 2.0 * M_PI; + double sinA,cosA; + + sincos(rndA,&sinA,&cosA); + + /* Note: original coordinate changed */ + f->tx += rndG * cosA; + f->ty += rndG * sinA; + +} + +void var68_modulus (flam3_iter_helper *f, double weight) { + + /* Modulus in the Apophysis Plugin Pack */ + + double xr = 2*f->xform->modulus_x; + double yr = 2*f->xform->modulus_y; + + if (f->tx > f->xform->modulus_x) + f->p0 += weight * (-f->xform->modulus_x + fmod(f->tx + f->xform->modulus_x, xr)); + else if (f->tx < -f->xform->modulus_x) + f->p0 += weight * ( f->xform->modulus_x - fmod(f->xform->modulus_x - f->tx, xr)); + else + f->p0 += weight * f->tx; + + if (f->ty > f->xform->modulus_y) + f->p1 += weight * (-f->xform->modulus_y + fmod(f->ty + f->xform->modulus_y, yr)); + else if (f->ty < -f->xform->modulus_y) + f->p1 += weight * ( f->xform->modulus_y - fmod(f->xform->modulus_y - f->ty, yr)); + else + f->p1 += weight * f->ty; + +} + +void var69_oscope (flam3_iter_helper *f, double weight) { + + /* oscilloscope from the apophysis plugin pack */ + + double tpf = 2 * M_PI * f->xform->oscope_frequency; + double t; + + if (f->xform->oscope_damping == 0.0) + t = f->xform->oscope_amplitude * cos(tpf*f->tx) + f->xform->oscope_separation; + else { + t = f->xform->oscope_amplitude * exp(-fabs(f->tx)*f->xform->oscope_damping) + * cos(tpf*f->tx) + f->xform->oscope_separation; + } + + if (fabs(f->ty) <= t) { + f->p0 += weight*f->tx; + f->p1 -= weight*f->ty; + } else { + f->p0 += weight*f->tx; + f->p1 += weight*f->ty; + } +} + +void var70_polar2 (flam3_iter_helper *f, double weight) { + + /* polar2 from the apophysis plugin pack */ + + double p2v = weight / M_PI; + + f->p0 += p2v * f->precalc_atan; + f->p1 += p2v/2.0 * log(f->precalc_sumsq); +} + +void var71_popcorn2 (flam3_iter_helper *f, double weight) { + + /* popcorn2 from the apophysis plugin pack */ + + f->p0 += weight * ( f->tx + f->xform->popcorn2_x * sin(tan(f->ty*f->xform->popcorn2_c))); + f->p1 += weight * ( f->ty + f->xform->popcorn2_y * sin(tan(f->tx*f->xform->popcorn2_c))); + +} + +void var72_scry (flam3_iter_helper *f, double weight) { + + /* scry from the apophysis plugin pack */ + /* note that scry does not multiply by weight, but as the */ + /* values still approach 0 as the weight approaches 0, it */ + /* should be ok */ + + /* + * !!! Note !!! + * This code uses the variation weight in a non-standard fashion, and + * it may change or even be removed in future versions of flam3. + */ + + double t = f->precalc_sumsq; + double r = 1.0 / (f->precalc_sqrt * (t + 1.0/(weight+EPS))); + + f->p0 += f->tx * r; + f->p1 += f->ty * r; + +} + +void var73_separation (flam3_iter_helper *f, double weight) { + + /* separation from the apophysis plugin pack */ + + double sx2 = f->xform->separation_x * f->xform->separation_x; + double sy2 = f->xform->separation_y * f->xform->separation_y; + + if (f->tx > 0.0) + f->p0 += weight * (sqrt(f->tx*f->tx + sx2)- f->tx*f->xform->separation_xinside); + else + f->p0 -= weight * (sqrt(f->tx*f->tx + sx2)+ f->tx*f->xform->separation_xinside); + + if (f->ty > 0.0) + f->p1 += weight * (sqrt(f->ty*f->ty + sy2)- f->ty*f->xform->separation_yinside); + else + f->p1 -= weight * (sqrt(f->ty*f->ty + sy2)+ f->ty*f->xform->separation_yinside); + +} + +void var74_split (flam3_iter_helper *f, double weight) { + + /* Split from apo plugins pack */ + + if (cos(f->tx*f->xform->split_xsize*M_PI) >= 0) + f->p1 += weight*f->ty; + else + f->p1 -= weight*f->ty; + + if (cos(f->ty*f->xform->split_ysize*M_PI) >= 0) + f->p0 += weight * f->tx; + else + f->p0 -= weight * f->tx; + +} + +void var75_splits (flam3_iter_helper *f, double weight) { + + /* Splits from apo plugins pack */ + + if (f->tx >= 0) + f->p0 += weight*(f->tx+f->xform->splits_x); + else + f->p0 += weight*(f->tx-f->xform->splits_x); + + if (f->ty >= 0) + f->p1 += weight*(f->ty+f->xform->splits_y); + else + f->p1 += weight*(f->ty-f->xform->splits_y); + +} + +void var76_stripes (flam3_iter_helper *f, double weight) { + + /* Stripes from apo plugins pack */ + + double roundx,offsetx; + + roundx = floor(f->tx + 0.5); + offsetx = f->tx - roundx; + + f->p0 += weight * (offsetx*(1.0-f->xform->stripes_space)+roundx); + f->p1 += weight * (f->ty + offsetx*offsetx*f->xform->stripes_warp); + +} + +void var77_wedge (flam3_iter_helper *f, double weight) { + + /* Wedge from apo plugins pack */ + + double r = f->precalc_sqrt; + double a = f->precalc_atanyx + f->xform->wedge_swirl * r; + double c = floor( (f->xform->wedge_count * a + M_PI)*M_1_PI*0.5); + + double comp_fac = 1 - f->xform->wedge_angle*f->xform->wedge_count*M_1_PI*0.5; + double sa, ca; + + a = a * comp_fac + c * f->xform->wedge_angle; + + sincos(a,&sa,&ca); + + r = weight * (r + f->xform->wedge_hole); + + f->p0 += r*ca; + f->p1 += r*sa; + +} + +void var78_wedge_julia (flam3_iter_helper *f, double weight) { + + /* wedge_julia from apo plugin pack */ + + double r = weight * pow(f->precalc_sumsq, f->xform->wedgeJulia_cn); + int t_rnd = (int)((f->xform->wedgeJulia_rN)*flam3_random_isaac_01(f->rc)); + double a = (f->precalc_atanyx + 2 * M_PI * t_rnd) / f->xform->wedge_julia_power; + double c = floor( (f->xform->wedge_julia_count * a + M_PI)*M_1_PI*0.5 ); + double sa,ca; + + a = a * f->xform->wedgeJulia_cf + c * f->xform->wedge_julia_angle; + + sincos(a,&sa,&ca); + + f->p0 += r * ca; + f->p1 += r * sa; +} + +void var79_wedge_sph (flam3_iter_helper *f, double weight) { + + /* Wedge_sph from apo plugins pack */ + + double r = 1.0/(f->precalc_sqrt+EPS); + double a = f->precalc_atanyx + f->xform->wedge_sph_swirl * r; + double c = floor( (f->xform->wedge_sph_count * a + M_PI)*M_1_PI*0.5); + + double comp_fac = 1 - f->xform->wedge_sph_angle*f->xform->wedge_sph_count*M_1_PI*0.5; + double sa, ca; + + a = a * comp_fac + c * f->xform->wedge_sph_angle; + + sincos(a,&sa,&ca); + r = weight * (r + f->xform->wedge_sph_hole); + + f->p0 += r*ca; + f->p1 += r*sa; + +} + +void var80_whorl (flam3_iter_helper *f, double weight) { + + /* whorl from apo plugins pack */ + + /* + * !!! Note !!! + * This code uses the variation weight in a non-standard fashion, and + * it may change or even be removed in future versions of flam3. + */ + + double r = f->precalc_sqrt; + double a,sa,ca; + + if (r<weight) + a = f->precalc_atanyx + f->xform->whorl_inside/(weight-r); + else + a = f->precalc_atanyx + f->xform->whorl_outside/(weight-r); + + sincos(a,&sa,&ca); + + f->p0 += weight*r*ca; + f->p1 += weight*r*sa; + +} + +void var81_waves2 (flam3_iter_helper *f, double weight) { + + /* waves2 from Joel F */ + + f->p0 += weight*(f->tx + f->xform->waves2_scalex*sin(f->ty * f->xform->waves2_freqx)); + f->p1 += weight*(f->ty + f->xform->waves2_scaley*sin(f->tx * f->xform->waves2_freqy)); + +} + +/* complex vars by cothe */ +/* exp log sin cos tan sec csc cot sinh cosh tanh sech csch coth */ + +void var82_exp (flam3_iter_helper *f, double weight) { + //Exponential EXP + double expe = exp(f->tx); + double expcos,expsin; + sincos(f->ty,&expsin,&expcos); + f->p0 += weight * expe * expcos; + f->p1 += weight * expe * expsin; +} + +void var83_log (flam3_iter_helper *f, double weight) { + //Natural Logarithm LOG + // needs precalc_atanyx and precalc_sumsq + f->p0 += weight * 0.5 * log(f->precalc_sumsq); + f->p1 += weight * f->precalc_atanyx; +} + +void var84_sin (flam3_iter_helper *f, double weight) { + //Sine SIN + double sinsin,sinacos,sinsinh,sincosh; + sincos(f->tx,&sinsin,&sinacos); + sinsinh = sinh(f->ty); + sincosh = cosh(f->ty); + f->p0 += weight * sinsin * sincosh; + f->p1 += weight * sinacos * sinsinh; +} + +void var85_cos (flam3_iter_helper *f, double weight) { + //Cosine COS + double cossin,coscos,cossinh,coscosh; + sincos(f->tx,&cossin,&coscos); + cossinh = sinh(f->ty); + coscosh = cosh(f->ty); + f->p0 += weight * coscos * coscosh; + f->p1 -= weight * cossin * cossinh; +} + +void var86_tan (flam3_iter_helper *f, double weight) { + //Tangent TAN + double tansin,tancos,tansinh,tancosh; + double tanden; + sincos(2*f->tx,&tansin,&tancos); + tansinh = sinh(2.0*f->ty); + tancosh = cosh(2.0*f->ty); + tanden = 1.0/(tancos + tancosh); + f->p0 += weight * tanden * tansin; + f->p1 += weight * tanden * tansinh; +} + +void var87_sec (flam3_iter_helper *f, double weight) { + //Secant SEC + double secsin,seccos,secsinh,seccosh; + double secden; + sincos(f->tx,&secsin,&seccos); + secsinh = sinh(f->ty); + seccosh = cosh(f->ty); + secden = 2.0/(cos(2*f->tx) + cosh(2*f->ty)); + f->p0 += weight * secden * seccos * seccosh; + f->p1 += weight * secden * secsin * secsinh; +} + +void var88_csc (flam3_iter_helper *f, double weight) { + //Cosecant CSC + double cscsin,csccos,cscsinh,csccosh; + double cscden; + sincos(f->tx,&cscsin,&csccos); + cscsinh = sinh(f->ty); + csccosh = cosh(f->ty); + cscden = 2.0/(cosh(2.0*f->ty) - cos(2.0*f->tx)); + f->p0 += weight * cscden * cscsin * csccosh; + f->p1 -= weight * cscden * csccos * cscsinh; +} + +void var89_cot (flam3_iter_helper *f, double weight) { + //Cotangent COT + double cotsin,cotcos,cotsinh,cotcosh; + double cotden; + sincos(2.0*f->tx,&cotsin,&cotcos); + cotsinh = sinh(2.0*f->ty); + cotcosh = cosh(2.0*f->ty); + cotden = 1.0/(cotcosh - cotcos); + f->p0 += weight * cotden * cotsin; + f->p1 += weight * cotden * -1 * cotsinh; +} + +void var90_sinh (flam3_iter_helper *f, double weight) { + //Hyperbolic Sine SINH + double sinhsin,sinhcos,sinhsinh,sinhcosh; + sincos(f->ty,&sinhsin,&sinhcos); + sinhsinh = sinh(f->tx); + sinhcosh = cosh(f->tx); + f->p0 += weight * sinhsinh * sinhcos; + f->p1 += weight * sinhcosh * sinhsin; +} + +void var91_cosh (flam3_iter_helper *f, double weight) { + //Hyperbolic Cosine COSH + double coshsin,coshcos,coshsinh,coshcosh; + sincos(f->ty,&coshsin,&coshcos); + coshsinh = sinh(f->tx); + coshcosh = cosh(f->tx); + f->p0 += weight * coshcosh * coshcos; + f->p1 += weight * coshsinh * coshsin; +} + +void var92_tanh (flam3_iter_helper *f, double weight) { + //Hyperbolic Tangent TANH + double tanhsin,tanhcos,tanhsinh,tanhcosh; + double tanhden; + sincos(2.0*f->ty,&tanhsin,&tanhcos); + tanhsinh = sinh(2.0*f->tx); + tanhcosh = cosh(2.0*f->tx); + tanhden = 1.0/(tanhcos + tanhcosh); + f->p0 += weight * tanhden * tanhsinh; + f->p1 += weight * tanhden * tanhsin; +} + +void var93_sech (flam3_iter_helper *f, double weight) { + //Hyperbolic Secant SECH + double sechsin,sechcos,sechsinh,sechcosh; + double sechden; + sincos(f->ty,&sechsin,&sechcos); + sechsinh = sinh(f->tx); + sechcosh = cosh(f->tx); + sechden = 2.0/(cos(2.0*f->ty) + cosh(2.0*f->tx)); + f->p0 += weight * sechden * sechcos * sechcosh; + f->p1 -= weight * sechden * sechsin * sechsinh; +} + +void var94_csch (flam3_iter_helper *f, double weight) { + //Hyperbolic Cosecant CSCH + double cschsin,cschcos,cschsinh,cschcosh; + double cschden; + sincos(f->ty,&cschsin,&cschcos); + cschsinh = sinh(f->tx); + cschcosh = cosh(f->tx); + cschden = 2.0/(cosh(2.0*f->tx) - cos(2.0*f->ty)); + f->p0 += weight * cschden * cschsinh * cschcos; + f->p1 -= weight * cschden * cschcosh * cschsin; +} + +void var95_coth (flam3_iter_helper *f, double weight) { + //Hyperbolic Cotangent COTH + double cothsin,cothcos,cothsinh,cothcosh; + double cothden; + sincos(2.0*f->ty,&cothsin,&cothcos); + cothsinh = sinh(2.0*f->tx); + cothcosh = cosh(2.0*f->tx); + cothden = 1.0/(cothcosh - cothcos); + f->p0 += weight * cothden * cothsinh; + f->p1 += weight * cothden * cothsin; +} + +void var96_auger (flam3_iter_helper *f, double weight) { + + // Auger, by Xyrus01 + double s = sin(f->xform->auger_freq * f->tx); + double t = sin(f->xform->auger_freq * f->ty); + double dy = f->ty + f->xform->auger_weight*(f->xform->auger_scale*s/2.0 + fabs(f->ty)*s); + double dx = f->tx + f->xform->auger_weight*(f->xform->auger_scale*t/2.0 + fabs(f->tx)*t); + + f->p0 += weight * (f->tx + f->xform->auger_sym*(dx-f->tx)); + f->p1 += weight * dy; +} + +void var97_flux (flam3_iter_helper *f, double weight) { + + // Flux, by meckie + double xpw = f->tx + weight; + double xmw = f->tx - weight; + double avgr = weight * (2 + f->xform->flux_spread) * sqrt( sqrt(f->ty*f->ty + xpw*xpw) / sqrt(f->ty*f->ty + xmw*xmw)); + double avga = ( atan2(f->ty, xmw) - atan2(f->ty,xpw) ) * 0.5; + + double s = sin(avga); + double c = cos(avga); + + f->p0 += avgr * cos(avga); + f->p1 += avgr * sin(avga); +} + +void var98_mobius (flam3_iter_helper *f, double weight) { + + // Mobius, by eralex + double re_u, im_u, re_v, im_v, rad_v; + + re_u = f->xform->mobius_re_a * f->tx - f->xform->mobius_im_a * f->ty + f->xform->mobius_re_b; + im_u = f->xform->mobius_re_a * f->ty + f->xform->mobius_im_a * f->tx + f->xform->mobius_im_b; + re_v = f->xform->mobius_re_c * f->tx - f->xform->mobius_im_c * f->ty + f->xform->mobius_re_d; + im_v = f->xform->mobius_re_c * f->ty + f->xform->mobius_im_c * f->tx + f->xform->mobius_im_d; + + rad_v = weight / (re_v*re_v + im_v*im_v); + + f->p0 += rad_v * (re_u*re_v + im_u*im_v); + f->p1 += rad_v * (im_u*re_v - re_u*im_v); +} + + +/* Precalc functions */ + +void perspective_precalc(flam3_xform *xf) { + double ang = xf->perspective_angle * M_PI / 2.0; + xf->persp_vsin = sin(ang); + xf->persp_vfcos = xf->perspective_dist * cos(ang); +} + +void juliaN_precalc(flam3_xform *xf) { + xf->julian_rN = fabs(xf->julian_power); + xf->julian_cn = xf->julian_dist / (double)xf->julian_power / 2.0; +} + +void wedgeJulia_precalc(flam3_xform *xf) { + xf->wedgeJulia_cf = 1.0 - xf->wedge_julia_angle * xf->wedge_julia_count * M_1_PI * 0.5; + xf->wedgeJulia_rN = fabs(xf->wedge_julia_power); + xf->wedgeJulia_cn = xf->wedge_julia_dist / xf->wedge_julia_power / 2.0; +} + +void juliaScope_precalc(flam3_xform *xf) { + xf->juliascope_rN = fabs(xf->juliascope_power); + xf->juliascope_cn = xf->juliascope_dist / (double)xf->juliascope_power / 2.0; +} + +void radial_blur_precalc(flam3_xform *xf) { + sincos(xf->radial_blur_angle * M_PI / 2.0, + &xf->radialBlur_spinvar, &xf->radialBlur_zoomvar); +} + +void waves_precalc(flam3_xform *xf) { + double dx = xf->c[2][0]; + double dy = xf->c[2][1]; + + xf->waves_dx2 = 1.0/(dx * dx + EPS); + xf->waves_dy2 = 1.0/(dy * dy + EPS); +} + +void disc2_precalc(flam3_xform *xf) { + double add = xf->disc2_twist; + double k; + + xf->disc2_timespi = xf->disc2_rot * M_PI; + + sincos(add,&xf->disc2_sinadd,&xf->disc2_cosadd); + xf->disc2_cosadd -= 1; + + if (add > 2 * M_PI) { + k = (1 + add - 2*M_PI); + xf->disc2_cosadd *= k; + xf->disc2_sinadd *= k; + } + + if (add < -2 * M_PI) { + k = (1 + add + 2*M_PI); + xf->disc2_cosadd *= k; + xf->disc2_sinadd *= k; + } +} + +void supershape_precalc(flam3_xform *xf) { + xf->super_shape_pm_4 = xf->super_shape_m / 4.0; + xf->super_shape_pneg1_n1 = -1.0 / xf->super_shape_n1; +} + +void xform_precalc(flam3_genome *cp, int xi) { + + perspective_precalc(&(cp->xform[xi])); + juliaN_precalc(&(cp->xform[xi])); + juliaScope_precalc(&(cp->xform[xi])); + radial_blur_precalc(&(cp->xform[xi])); + waves_precalc(&(cp->xform[xi])); + disc2_precalc(&(cp->xform[xi])); + supershape_precalc(&(cp->xform[xi])); + wedgeJulia_precalc(&(cp->xform[xi])); +} + +int prepare_precalc_flags(flam3_genome *cp) { + + double d; + int i,j,totnum; + + /* Loop over valid xforms */ + for (i = 0; i < cp->num_xforms; i++) { + d = cp->xform[i].density; + if (d < 0.0) { + fprintf(stderr, "xform %d weight must be non-negative, not %g.\n",i,d); + return(1); + } + + if (i != cp->final_xform_index && d == 0.0) + continue; + + totnum = 0; + + cp->xform[i].vis_adjusted = adjust_percentage(cp->xform[i].opacity); + + cp->xform[i].precalc_angles_flag=0; + cp->xform[i].precalc_atan_xy_flag=0; + cp->xform[i].precalc_atan_yx_flag=0; + cp->xform[i].has_preblur=0; + cp->xform[i].has_post = !(id_matrix(cp->xform[i].post)); + + + for (j = 0; j < flam3_nvariations; j++) { + + if (cp->xform[i].var[j]!=0) { + + cp->xform[i].varFunc[totnum] = j; + cp->xform[i].active_var_weights[totnum] = cp->xform[i].var[j]; + + if (j==VAR_POLAR) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_HANDKERCHIEF) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_HEART) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_DISC) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_SPIRAL) { + cp->xform[i].precalc_angles_flag=1; + } else if (j==VAR_HYPERBOLIC) { + cp->xform[i].precalc_angles_flag=1; + } else if (j==VAR_DIAMOND) { + cp->xform[i].precalc_angles_flag=1; + } else if (j==VAR_EX) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_JULIA) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_POWER) { + cp->xform[i].precalc_angles_flag=1; + } else if (j==VAR_RINGS) { + cp->xform[i].precalc_angles_flag=1; + } else if (j==VAR_FAN) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_BLOB) { + cp->xform[i].precalc_atan_xy_flag=1; + cp->xform[i].precalc_angles_flag=1; + } else if (j==VAR_FAN2) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_RINGS2) { + cp->xform[i].precalc_angles_flag=1; + } else if (j==VAR_JULIAN) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_JULIASCOPE) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_RADIAL_BLUR) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_NGON) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_DISC2) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_SUPER_SHAPE) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_FLOWER) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_CONIC) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_CPOW) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_ESCHER) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_PRE_BLUR) { + cp->xform[i].has_preblur=cp->xform[i].var[j]; + } else if (j==VAR_POLAR2) { + cp->xform[i].precalc_atan_xy_flag=1; + } else if (j==VAR_WEDGE) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_WEDGE_JULIA) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_WEDGE_SPH) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_WHORL) { + cp->xform[i].precalc_atan_yx_flag=1; + } else if (j==VAR_LOG) { + cp->xform[i].precalc_atan_yx_flag=1; + } + + totnum++; + } + } + + cp->xform[i].num_active_vars = totnum; + + } + + return(0); +} + + +int apply_xform(flam3_genome *cp, int fn, double *p, double *q, randctx *rc) +{ + flam3_iter_helper f; + int var_n; + double next_color,s,s1; + double weight; + + f.rc = rc; + + s1 = cp->xform[fn].color_speed; + + q[2] = s1 * cp->xform[fn].color + (1.0-s1) * p[2]; + q[3] = cp->xform[fn].vis_adjusted; + + //fprintf(stderr,"%d : %f %f %f\n",fn,cp->xform[fn].c[0][0],cp->xform[fn].c[1][0],cp->xform[fn].c[2][0]); + + f.tx = cp->xform[fn].c[0][0] * p[0] + cp->xform[fn].c[1][0] * p[1] + cp->xform[fn].c[2][0]; + f.ty = cp->xform[fn].c[0][1] * p[0] + cp->xform[fn].c[1][1] * p[1] + cp->xform[fn].c[2][1]; + + /* Pre-xforms go here, and modify the f.tx and f.ty values */ + if (cp->xform[fn].has_preblur!=0.0) + var67_pre_blur(&f, cp->xform[fn].has_preblur); + + /* Always calculate sumsq and sqrt */ + f.precalc_sumsq = f.tx*f.tx + f.ty*f.ty; + f.precalc_sqrt = sqrt(f.precalc_sumsq); + + /* Check to see if we can precalculate any parts */ + /* Precalculate atanxy, sin, cos */ + if (cp->xform[fn].precalc_atan_xy_flag > 0) { + f.precalc_atan = atan2(f.tx,f.ty); + } + + if (cp->xform[fn].precalc_angles_flag > 0) { + f.precalc_sina = f.tx / f.precalc_sqrt; + f.precalc_cosa = f.ty / f.precalc_sqrt; + } + + /* Precalc atanyx */ + if (cp->xform[fn].precalc_atan_yx_flag > 0) { + f.precalc_atanyx = atan2(f.ty,f.tx); + } + + f.p0 = 0.0; + f.p1 = 0.0; + f.xform = &(cp->xform[fn]); + + + for (var_n=0; var_n < cp->xform[fn].num_active_vars; var_n++) { + + weight = cp->xform[fn].active_var_weights[var_n]; + + switch (cp->xform[fn].varFunc[var_n]) { + + case (VAR_LINEAR): + var0_linear(&f, weight); break; + case (VAR_SINUSOIDAL): + var1_sinusoidal(&f, weight); break; + case (VAR_SPHERICAL): + var2_spherical(&f, weight); break; + case (VAR_SWIRL): + var3_swirl(&f, weight); break; + case (VAR_HORSESHOE): + var4_horseshoe(&f, weight); break; + case (VAR_POLAR): + var5_polar(&f, weight); break; + case (VAR_HANDKERCHIEF): + var6_handkerchief(&f, weight); break; + case (VAR_HEART): + var7_heart(&f, weight); break; + case (VAR_DISC): + var8_disc(&f, weight); break; + case (VAR_SPIRAL): + var9_spiral(&f, weight); break; + case (VAR_HYPERBOLIC): + var10_hyperbolic(&f, weight); break; + case (VAR_DIAMOND): + var11_diamond(&f, weight); break; + case (VAR_EX): + var12_ex(&f, weight); break; + case (VAR_JULIA): + var13_julia(&f, weight); break; + case (VAR_BENT): + var14_bent(&f, weight); break; + case (VAR_WAVES): + var15_waves(&f, weight); break; + case (VAR_FISHEYE): + var16_fisheye(&f, weight); break; + case (VAR_POPCORN): + var17_popcorn(&f, weight); break; + case (VAR_EXPONENTIAL): + var18_exponential(&f, weight); break; + case (VAR_POWER): + var19_power(&f, weight); break; + case (VAR_COSINE): + var20_cosine(&f, weight); break; + case (VAR_RINGS): + var21_rings(&f, weight); break; + case (VAR_FAN): + var22_fan(&f, weight); break; + case (VAR_BLOB): + var23_blob(&f, weight); break; + case (VAR_PDJ): + var24_pdj(&f, weight); break; + case (VAR_FAN2): + var25_fan2(&f, weight); break; + case (VAR_RINGS2): + var26_rings2(&f, weight); break; + case (VAR_EYEFISH): + var27_eyefish(&f, weight); break; + case (VAR_BUBBLE): + var28_bubble(&f, weight); break; + case (VAR_CYLINDER): + var29_cylinder(&f, weight); break; + case (VAR_PERSPECTIVE): + var30_perspective(&f, weight); break; + case (VAR_NOISE): + var31_noise(&f, weight); break; + case (VAR_JULIAN): + var32_juliaN_generic(&f, weight); break; + case (VAR_JULIASCOPE): + var33_juliaScope_generic(&f, weight);break; + case (VAR_BLUR): + var34_blur(&f, weight); break; + case (VAR_GAUSSIAN_BLUR): + var35_gaussian(&f, weight); break; + case (VAR_RADIAL_BLUR): + var36_radial_blur(&f, weight); break; + case (VAR_PIE): + var37_pie(&f, weight); break; + case (VAR_NGON): + var38_ngon(&f, weight); break; + case (VAR_CURL): + var39_curl(&f, weight); break; + case (VAR_RECTANGLES): + var40_rectangles(&f, weight); break; + case (VAR_ARCH): + var41_arch(&f, weight); break; + case (VAR_TANGENT): + var42_tangent(&f, weight); break; + case (VAR_SQUARE): + var43_square(&f, weight); break; + case (VAR_RAYS): + var44_rays(&f, weight); break; + case (VAR_BLADE): + var45_blade(&f, weight); break; + case (VAR_SECANT2): + var46_secant2(&f, weight); break; + case (VAR_TWINTRIAN): + var47_twintrian(&f, weight); break; + case (VAR_CROSS): + var48_cross(&f, weight); break; + case (VAR_DISC2): + var49_disc2(&f, weight); break; + case (VAR_SUPER_SHAPE): + var50_supershape(&f, weight); break; + case (VAR_FLOWER): + var51_flower(&f, weight); break; + case (VAR_CONIC): + var52_conic(&f, weight); break; + case (VAR_PARABOLA): + var53_parabola(&f, weight); break; + case (VAR_BENT2): + var54_bent2(&f, weight); break; + case (VAR_BIPOLAR): + var55_bipolar(&f, weight); break; + case (VAR_BOARDERS): + var56_boarders(&f, weight); break; + case (VAR_BUTTERFLY): + var57_butterfly(&f, weight); break; + case (VAR_CELL): + var58_cell(&f, weight); break; + case (VAR_CPOW): + var59_cpow(&f, weight); break; + case (VAR_CURVE): + var60_curve(&f, weight); break; + case (VAR_EDISC): + var61_edisc(&f, weight); break; + case (VAR_ELLIPTIC): + var62_elliptic(&f, weight); break; + case (VAR_ESCHER): + var63_escher(&f, weight); break; + case (VAR_FOCI): + var64_foci(&f, weight); break; + case (VAR_LAZYSUSAN): + var65_lazysusan(&f, weight); break; + case (VAR_LOONIE): + var66_loonie(&f, weight); break; + case (VAR_MODULUS): + var68_modulus(&f, weight); break; + case (VAR_OSCILLOSCOPE): + var69_oscope(&f, weight); break; + case (VAR_POLAR2): + var70_polar2(&f, weight); break; + case (VAR_POPCORN2): + var71_popcorn2(&f, weight); break; + case (VAR_SCRY): + var72_scry(&f, weight); break; + case (VAR_SEPARATION): + var73_separation(&f, weight); break; + case (VAR_SPLIT): + var74_split(&f, weight); break; + case (VAR_SPLITS): + var75_splits(&f, weight); break; + case (VAR_STRIPES): + var76_stripes(&f, weight); break; + case (VAR_WEDGE): + var77_wedge(&f, weight); break; + case (VAR_WEDGE_JULIA): + var78_wedge_julia(&f, weight); break; + case (VAR_WEDGE_SPH): + var79_wedge_sph(&f, weight); break; + case (VAR_WHORL): + var80_whorl(&f, weight); break; + case (VAR_WAVES2): + var81_waves2(&f, weight); break; + case (VAR_EXP): + var82_exp(&f, weight); break; + case (VAR_LOG): + var83_log(&f, weight); break; + case (VAR_SIN): + var84_sin(&f, weight); break; + case (VAR_COS): + var85_cos(&f, weight); break; + case (VAR_TAN): + var86_tan(&f, weight); break; + case (VAR_SEC): + var87_sec(&f, weight); break; + case (VAR_CSC): + var88_csc(&f, weight); break; + case (VAR_COT): + var89_cot(&f, weight); break; + case (VAR_SINH): + var90_sinh(&f, weight); break; + case (VAR_COSH): + var91_cosh(&f, weight); break; + case (VAR_TANH): + var92_tanh(&f, weight); break; + case (VAR_SECH): + var93_sech(&f, weight); break; + case (VAR_CSCH): + var94_csch(&f, weight); break; + case (VAR_COTH): + var95_coth(&f, weight); break; + case (VAR_AUGER): + var96_auger(&f, weight); break; + case (VAR_FLUX): + var97_flux(&f, weight); break; + case (VAR_MOBIUS): + var98_mobius(&f, weight); break; + } + + } + /* apply the post transform */ + if (cp->xform[fn].has_post) { + q[0] = cp->xform[fn].post[0][0] * f.p0 + cp->xform[fn].post[1][0] * f.p1 + cp->xform[fn].post[2][0]; + q[1] = cp->xform[fn].post[0][1] * f.p0 + cp->xform[fn].post[1][1] * f.p1 + cp->xform[fn].post[2][1]; + } else { + q[0] = f.p0; + q[1] = f.p1; + } + + /* Check for badvalues and return randoms if bad */ + if (badvalue(q[0]) || badvalue(q[1])) { + q[0] = flam3_random_isaac_11(rc); + q[1] = flam3_random_isaac_11(rc); + return(1); + } else + return(0); + +} + +void initialize_xforms(flam3_genome *thiscp, int start_here) { + + int i,j; + for (i = start_here ; i < thiscp->num_xforms ; i++) { + thiscp->xform[i].padding = 0; + thiscp->xform[i].density = 0.0; + thiscp->xform[i].color_speed = 0.5; + thiscp->xform[i].animate = 1.0; + thiscp->xform[i].color = i&1; + thiscp->xform[i].opacity = 1.0; + thiscp->xform[i].var[0] = 1.0; + thiscp->xform[i].motion_freq = 0; + thiscp->xform[i].motion_func = 0; + thiscp->xform[i].num_motion = 0; + thiscp->xform[i].motion = NULL; + for (j = 1; j < flam3_nvariations; j++) + thiscp->xform[i].var[j] = 0.0; + thiscp->xform[i].c[0][0] = 1.0; + thiscp->xform[i].c[0][1] = 0.0; + thiscp->xform[i].c[1][0] = 0.0; + thiscp->xform[i].c[1][1] = 1.0; + thiscp->xform[i].c[2][0] = 0.0; + thiscp->xform[i].c[2][1] = 0.0; + thiscp->xform[i].post[0][0] = 1.0; + thiscp->xform[i].post[0][1] = 0.0; + thiscp->xform[i].post[1][0] = 0.0; + thiscp->xform[i].post[1][1] = 1.0; + thiscp->xform[i].post[2][0] = 0.0; + thiscp->xform[i].post[2][1] = 0.0; + thiscp->xform[i].wind[0] = 0.0; + thiscp->xform[i].wind[1] = 0.0; + thiscp->xform[i].blob_low = 0.0; + thiscp->xform[i].blob_high = 1.0; + thiscp->xform[i].blob_waves = 1.0; + thiscp->xform[i].pdj_a = 0.0; + thiscp->xform[i].pdj_b = 0.0; + thiscp->xform[i].pdj_c = 0.0; + thiscp->xform[i].pdj_d = 0.0; + thiscp->xform[i].fan2_x = 0.0; + thiscp->xform[i].fan2_y = 0.0; + thiscp->xform[i].rings2_val = 0.0; + thiscp->xform[i].perspective_angle = 0.0; + thiscp->xform[i].perspective_dist = 0.0; + thiscp->xform[i].persp_vsin = 0.0; + thiscp->xform[i].persp_vfcos = 0.0; + thiscp->xform[i].radial_blur_angle = 0.0; + thiscp->xform[i].disc2_rot = 0.0; + thiscp->xform[i].disc2_twist = 0.0; + thiscp->xform[i].disc2_sinadd = 0.0; + thiscp->xform[i].disc2_cosadd = 0.0; + thiscp->xform[i].disc2_timespi = 0.0; + thiscp->xform[i].flower_petals = 0.0; + thiscp->xform[i].flower_holes = 0.0; + thiscp->xform[i].parabola_height = 0.0; + thiscp->xform[i].parabola_width = 0.0; + thiscp->xform[i].bent2_x = 1.0; + thiscp->xform[i].bent2_y = 1.0; + thiscp->xform[i].bipolar_shift = 0.0; + thiscp->xform[i].cell_size = 1.0; + thiscp->xform[i].cpow_r = 1.0; + thiscp->xform[i].cpow_i = 0.0; + thiscp->xform[i].cpow_power = 1.0; + thiscp->xform[i].curve_xamp = 0.0; + thiscp->xform[i].curve_yamp = 0.0; + thiscp->xform[i].curve_xlength = 1.0; + thiscp->xform[i].curve_ylength = 1.0; + thiscp->xform[i].escher_beta = 0.0; + thiscp->xform[i].lazysusan_space = 0.0; + thiscp->xform[i].lazysusan_twist = 0.0; + thiscp->xform[i].lazysusan_spin = 0.0; + thiscp->xform[i].lazysusan_x = 0.0; + thiscp->xform[i].lazysusan_y = 0.0; + thiscp->xform[i].modulus_x = 0.0; + thiscp->xform[i].modulus_y = 0.0; + thiscp->xform[i].oscope_separation = 1.0; + thiscp->xform[i].oscope_frequency = M_PI; + thiscp->xform[i].oscope_amplitude = 1.0; + thiscp->xform[i].oscope_damping = 0.0; + thiscp->xform[i].popcorn2_c = 0.0; + thiscp->xform[i].popcorn2_x = 0.0; + thiscp->xform[i].popcorn2_y = 0.0; + thiscp->xform[i].separation_x = 0.0; + thiscp->xform[i].separation_xinside = 0.0; + thiscp->xform[i].separation_y = 0.0; + thiscp->xform[i].separation_yinside = 0.0; + thiscp->xform[i].split_xsize = 0.0; + thiscp->xform[i].split_ysize = 0.0; + thiscp->xform[i].splits_x = 0.0; + thiscp->xform[i].splits_y = 0.0; + thiscp->xform[i].stripes_space = 0.0; + thiscp->xform[i].stripes_warp = 0.0; + thiscp->xform[i].wedge_angle = 0.0; + thiscp->xform[i].wedge_hole = 0.0; + thiscp->xform[i].wedge_count = 1.0; + thiscp->xform[i].wedge_swirl = 0.0; + thiscp->xform[i].wedge_sph_angle = 0.0; + thiscp->xform[i].wedge_sph_hole = 0.0; + thiscp->xform[i].wedge_sph_count = 1.0; + thiscp->xform[i].wedge_sph_swirl = 0.0; + + thiscp->xform[i].wedge_julia_power = 1.0; + thiscp->xform[i].wedge_julia_dist = 0.0; + thiscp->xform[i].wedge_julia_count = 1.0; + thiscp->xform[i].wedge_julia_angle = 0.0; + thiscp->xform[i].wedgeJulia_cf = 0.0; + thiscp->xform[i].wedgeJulia_cn = 0.5; + thiscp->xform[i].wedgeJulia_rN = 1.0; + thiscp->xform[i].whorl_inside = 0.0; + thiscp->xform[i].whorl_outside = 0.0; + + thiscp->xform[i].waves2_scalex = 0.0; + thiscp->xform[i].waves2_scaley = 0.0; + thiscp->xform[i].waves2_freqx = 0.0; + thiscp->xform[i].waves2_freqy = 0.0; + + thiscp->xform[i].auger_freq = 1.0; + thiscp->xform[i].auger_weight = 0.5; + thiscp->xform[i].auger_sym = 0.0; + thiscp->xform[i].auger_scale = 1.0; + + thiscp->xform[i].flux_spread = 0.0; + + thiscp->xform[i].julian_power = 1.0; + thiscp->xform[i].julian_dist = 1.0; + thiscp->xform[i].julian_rN = 1.0; + thiscp->xform[i].julian_cn = 0.5; + thiscp->xform[i].juliascope_power = 1.0; + thiscp->xform[i].juliascope_dist = 1.0; + thiscp->xform[i].juliascope_rN = 1.0; + thiscp->xform[i].juliascope_cn = 0.5; + thiscp->xform[i].radialBlur_spinvar = 0.0; + thiscp->xform[i].radialBlur_zoomvar = 1.0; + thiscp->xform[i].pie_slices = 6.0; + thiscp->xform[i].pie_rotation = 0.0; + thiscp->xform[i].pie_thickness = 0.5; + thiscp->xform[i].ngon_sides = 5; + thiscp->xform[i].ngon_power = 3; + thiscp->xform[i].ngon_circle = 1; + thiscp->xform[i].ngon_corners = 2; + thiscp->xform[i].curl_c1 = 1.0; + thiscp->xform[i].curl_c2 = 0.0; + thiscp->xform[i].rectangles_x = 1.0; + thiscp->xform[i].rectangles_y = 1.0; + thiscp->xform[i].amw_amp = 1.0; + thiscp->xform[i].super_shape_rnd = 0.0; + thiscp->xform[i].super_shape_m = 0.0; + thiscp->xform[i].super_shape_n1 = 1.0; + thiscp->xform[i].super_shape_n2 = 1.0; + thiscp->xform[i].super_shape_n3 = 1.0; + thiscp->xform[i].super_shape_holes = 0.0; + thiscp->xform[i].conic_eccentricity = 1.0; + thiscp->xform[i].conic_holes = 0.0; + + thiscp->xform[i].mobius_re_a = 0.0; + thiscp->xform[i].mobius_re_b = 0.0; + thiscp->xform[i].mobius_re_c = 0.0; + thiscp->xform[i].mobius_re_d = 0.0; + thiscp->xform[i].mobius_im_a = 0.0; + thiscp->xform[i].mobius_im_b = 0.0; + thiscp->xform[i].mobius_im_c = 0.0; + thiscp->xform[i].mobius_im_d = 0.0; + } +} |