added mobius variation (the one with 8 params, eralex's).

git-svn-id: https://flam3.googlecode.com/svn/trunk@151 77852712-ef1d-11de-8684-7d64432d61a3

src/flam3.c

@@ -674,6 +674,14 @@ void apply_motion_parameters(flam3_xform *xf, flam3_xform *addto, double blend)
       APPMOT(auger_freq);
       APPMOT(auger_scale);
       APPMOT(flux_spread);
+      APPMOT(mobius_re_a);
+      APPMOT(mobius_re_b);
+      APPMOT(mobius_re_c);
+      APPMOT(mobius_re_d);
+      APPMOT(mobius_im_a);
+      APPMOT(mobius_im_b);
+      APPMOT(mobius_im_c);
+      APPMOT(mobius_im_d);
 
       for (j = 0; j < flam3_nvariations; j++)
          APPMOT(var[j]);
@@ -974,6 +982,16 @@ void flam3_copy_params(flam3_xform *dest, flam3_xform *src, int varn) {
    } else if (varn==VAR_FLUX) {
       /* flux */
       dest->flux_spread = src->flux_spread;
+   } else if (varn==VAR_MOBIUS) {
+      /* mobius */
+      dest->mobius_re_a = src->mobius_re_a;
+      dest->mobius_re_b = src->mobius_re_b;
+      dest->mobius_re_c = src->mobius_re_c;
+      dest->mobius_re_d = src->mobius_re_d;
+      dest->mobius_im_a = src->mobius_im_a;
+      dest->mobius_im_b = src->mobius_im_b;
+      dest->mobius_im_c = src->mobius_im_c;
+      dest->mobius_im_d = src->mobius_im_d;
    }
 }
 
@@ -1813,7 +1831,8 @@ void flam3_print_xform(FILE *f, flam3_xform *x, int final_flag, int numstd, doub
    int modulus_var=0,oscope_var=0,popcorn2_var=0,separation_var=0;
    int split_var=0,splits_var=0,stripes_var=0,wedge_var=0,wedgeJ_var=0;
    int wedgeS_var=0,whorl_var=0,waves2_var=0,auger_var=0,flux_var=0;
-   
+   int mobius_var=0;
+
    int j;
    int lnv;
 
@@ -1929,6 +1948,8 @@ void flam3_print_xform(FILE *f, flam3_xform *x, int final_flag, int numstd, doub
             auger_var=1;
          else if (j==VAR_FLUX)
             flux_var=1;
+         else if (j==VAR_MOBIUS)
+            mobius_var=1;
       }
    }
 
@@ -2147,6 +2168,17 @@ void flam3_print_xform(FILE *f, flam3_xform *x, int final_flag, int numstd, doub
       if (flux_var==1)
          fprintf(f, "flux_spread=\"%g\" ", x->flux_spread);
 
+      if (mobius_var==1) {
+         fprintf(f, "mobius_re_a=\"%g\" ", x->mobius_re_a);
+         fprintf(f, "mobius_im_a=\"%g\" ", x->mobius_im_a);
+         fprintf(f, "mobius_re_b=\"%g\" ", x->mobius_re_b);
+         fprintf(f, "mobius_im_b=\"%g\" ", x->mobius_im_b);
+         fprintf(f, "mobius_re_c=\"%g\" ", x->mobius_re_c);
+         fprintf(f, "mobius_im_c=\"%g\" ", x->mobius_im_c);
+         fprintf(f, "mobius_re_d=\"%g\" ", x->mobius_re_d);
+         fprintf(f, "mobius_im_d=\"%g\" ", x->mobius_im_d);
+      }
+
       fprintf(f, "coefs=\"");
       for (j = 0; j < 3; j++) {
          if (j) fprintf(f, " ");
@@ -2304,6 +2336,15 @@ void flam3_print_xform(FILE *f, flam3_xform *x, int final_flag, int numstd, doub
       PRINTNON(auger_scale);
 
       PRINTNON(flux_spread);
+
+      PRINTNON(mobius_re_a);
+      PRINTNON(mobius_im_a);
+      PRINTNON(mobius_re_b);
+      PRINTNON(mobius_im_b);
+      PRINTNON(mobius_re_c);
+      PRINTNON(mobius_im_c);
+      PRINTNON(mobius_re_d);
+      PRINTNON(mobius_im_d);
       
       if (!zero_matrix(x->c)) {
          fprintf(f, "coefs=\"");
@@ -3374,6 +3415,17 @@ void flam3_random(flam3_genome *cp, int *ivars, int ivars_n, int sym, int spec_x
          cp->xform[i].flux_spread = 0.5 + flam3_random01()/2.0;
       }
 
+      if (cp->xform[i].var[VAR_MOBIUS] > 0) {
+         /* Create random params for mobius */
+         cp->xform[i].mobius_re_a = flam3_random11();
+         cp->xform[i].mobius_im_a = flam3_random11();
+         cp->xform[i].mobius_re_b = flam3_random11();
+         cp->xform[i].mobius_im_b = flam3_random11();
+         cp->xform[i].mobius_re_c = flam3_random11();
+         cp->xform[i].mobius_im_c = flam3_random11();
+         cp->xform[i].mobius_re_d = flam3_random11();
+         cp->xform[i].mobius_im_d = flam3_random11();
+      }
 
    }
 

src/flam3.h

@@ -59,7 +59,7 @@ int flam3_get_palette(int palette_index, flam3_palette p, double hue_rotation);
 
 extern char *flam3_variation_names[];
 
-#define flam3_nvariations 98
+#define flam3_nvariations 99
 #define flam3_nxforms     12
 
 #define flam3_parent_fn_len     30
@@ -178,6 +178,7 @@ extern char *flam3_variation_names[];
 #define VAR_COTH 95
 #define VAR_AUGER 96
 #define VAR_FLUX 97
+#define VAR_MOBIUS 98
 
 typedef struct {
 
@@ -389,6 +390,12 @@ typedef struct xform {
 
    /* Flux */
    double flux_spread;
+
+   /* Mobius */
+   double mobius_re_a, mobius_im_a;
+   double mobius_re_b, mobius_im_b;
+   double mobius_re_c, mobius_im_c;
+   double mobius_re_d, mobius_im_d;
       
    /* If perspective is used, precalculate these values */
    /* from the _angle and _dist                         */

src/interpolation.c

@@ -582,6 +582,14 @@ void flam3_interpolate_n(flam3_genome *result, int ncp,
       INTERP(xform[i].auger_freq);
       INTERP(xform[i].auger_scale);
       INTERP(xform[i].flux_spread);
+      INTERP(xform[i].mobius_re_a);
+      INTERP(xform[i].mobius_im_a);
+      INTERP(xform[i].mobius_re_b);
+      INTERP(xform[i].mobius_im_b);
+      INTERP(xform[i].mobius_re_c);
+      INTERP(xform[i].mobius_im_c);
+      INTERP(xform[i].mobius_re_d);
+      INTERP(xform[i].mobius_im_d);
 
       for (j = 0; j < flam3_nvariations; j++)
          INTERP(xform[i].var[j]);

src/parser.c

@@ -1215,6 +1215,22 @@ int parse_xform_xml(xmlNode *chld_node,flam3_xform *this_xform, int *num_xaos,
          this_xform->auger_scale = flam3_atof(att_str);
       } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"flux_spread")) {
          this_xform->flux_spread = flam3_atof(att_str);
+      } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"Re_A") || !xmlStrcmp(cur_att->name, (const xmlChar *)"mobius_re_a")) {
+         this_xform->mobius_re_a = flam3_atof(att_str);
+      } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"Re_B") || !xmlStrcmp(cur_att->name, (const xmlChar *)"mobius_re_b")) {
+         this_xform->mobius_re_b = flam3_atof(att_str);
+      } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"Re_C") || !xmlStrcmp(cur_att->name, (const xmlChar *)"mobius_re_c")) {
+         this_xform->mobius_re_c = flam3_atof(att_str);
+      } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"Re_D") || !xmlStrcmp(cur_att->name, (const xmlChar *)"mobius_re_d")) {
+         this_xform->mobius_re_d = flam3_atof(att_str);
+      } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"Im_A") || !xmlStrcmp(cur_att->name, (const xmlChar *)"mobius_im_a")) {
+         this_xform->mobius_im_a = flam3_atof(att_str);
+      } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"Im_B") || !xmlStrcmp(cur_att->name, (const xmlChar *)"mobius_im_b")) {
+         this_xform->mobius_im_b = flam3_atof(att_str);
+      } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"Im_C") || !xmlStrcmp(cur_att->name, (const xmlChar *)"mobius_im_c")) {
+         this_xform->mobius_im_c = flam3_atof(att_str);
+      } else if (!xmlStrcmp(cur_att->name, (const xmlChar *)"Im_D") || !xmlStrcmp(cur_att->name, (const xmlChar *)"mobius_im_d")) {
+         this_xform->mobius_im_d = flam3_atof(att_str);
       } else {
          int v = var2n((char *) cur_att->name);
          if (v != flam3_variation_none)

src/variations.c

@@ -131,6 +131,7 @@ char *flam3_variation_names[1+flam3_nvariations] = {
   "coth",
   "auger",
   "flux",
+  "mobius",
   0
 };
 
@@ -1922,6 +1923,23 @@ void var97_flux (flam3_iter_helper *f, double weight) {
     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) {
@@ -2359,6 +2377,8 @@ int apply_xform(flam3_genome *cp, int fn, double *p, double *q, randctx *rc)
                 var96_auger(&f, weight); break;
          case (VAR_FLUX):
                 var97_flux(&f, weight); break;
+         case (VAR_MOBIUS):
+                var98_mobius(&f, weight); break;
       }
 
    }
@@ -2533,5 +2553,14 @@ void initialize_xforms(flam3_genome *thiscp, int start_here) {
       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;
    }
 }

src/variations.h

@@ -122,6 +122,7 @@ void var94_csch (flam3_iter_helper *f, double weight);
 void var95_coth (flam3_iter_helper *f, double weight);
 void var96_auger (flam3_iter_helper *f, double weight);
 void var97_flux (flam3_iter_helper *f, double weight);
+void var98_mobius (flam3_iter_helper *f, double weight);
 
 /* Precalculation functions */
 void perspective_precalc(flam3_xform *xf);