Faster filter by simplifying cos(ang), and sin(ang)

include/reptorian.gmic

@@ -64,11 +64,11 @@ rep_pfrac: rep_popcorn_fractal $*
 rep_popcorn_fractal:
 skip ${1=50},${2=1},${3=.05},${4=3},${5=1},${6=0},${7=0},${8=0},${9=0},${10=},${11=},${12=},${13=},${14=},${15=}
 if ($6-360*floor($6/360))?1
- fvx="((rot_x(xnew,ynew)-origin_x*sx)*cx/zoom+cx*sx)/sx"
- fvy="((rot_y(xnew,ynew)-origin_y*sy)*cy/zoom+cy*sy)/sy"
+ fvx="((rot_x(xnew,ynew)-osx)*cx_zoom+cxsx)/sx"
+ fvy="((rot_y(xnew,ynew)-osy)*cy_zoom+cysy)/sy"
 else
- fvx="((xnew-origin_x*sx)*cx/zoom+cx*sx)/sx"
- fvy="((ynew-origin_y*sy)*cy/zoom+cy*sy)/sy"
+ fvx="((xnew-osx)*cx_zoom+cxsx)/sx"
+ fvy="((ynew-osy)*cy_zoom+cysy)/sy"
 fi
 channels. 0 f. 0
 l.
@@ -86,12 +86,18 @@ l.
  const sy=w>h?1:sd;
  const cx=w/2;
  const cy=h/2;
- const ocx=origin_x*cx;
- const ocy=origin_y*cy;
+ const osx=origin_x*sx;
+ const osy=origin_y*sy;
+ const cx_zoom=cx/zoom;
+ const cy_zoom=cy/zoom;
+ const cxsx=cx*sx;
+ const cysy=cy*sy;
+ const cos_ang=cos(ang);
+ const sin_ang=sin(ang);
  const angcondition=($6-360*floor($6/360))?1;
  const total_pts=wh*pts;
- rot_x(a,b)=a*cos(ang)-b*sin(ang);
- rot_y(a,b)=a*sin(ang)+b*cos(ang);
+ rot_x(a,b)=a*cos_ang-b*sin_ang;
+ rot_y(a,b)=a*sin_ang+b*cos_ang;
  fvx()="$fvx";
  fvy()="$fvy";
  count=0;
@@ -3591,8 +3597,10 @@ f "begin(
  const offy=-.5+($16*-1/2);
  const nw=abs(w*sin(ang))+abs(h*cos(ang));
  const nh=abs(w*cos(ang))+abs(h*sin(ang));
- rot_x(a,b)=a*cos(ang)-b*sin(ang);
- rot_y(a,b)=a*sin(ang)+b*cos(ang);
+ const cos_ang=cos(ang);
+ const sin_ang=sin(ang);
+ rot_x(a,b)=a*cos_ang-b*sin_ang;
+ rot_y(a,b)=a*sin_ang+b*cos_ang;
  const interpolation=abs($18)>2?2:abs($18);
  const boundary=abs($17);
 );
@@ -3823,10 +3831,14 @@ repeat $! l[$>]
         const ang=pi*($8/180);
         const dang=pi*($12/180);
         const distrad=1*10^($2/10);
-        rot_x(a,b)=a*cos(ang)-b*sin(ang);
-        rot_y(a,b)=a*sin(ang)+b*cos(ang);
-        dist_rot_x(a,b)=a*cos(dang)-b*sin(dang);
-        dist_rot_y(a,b)=a*sin(dang)+b*cos(dang);
+        const cos_ang=cos(ang);
+        const sin_ang=sin(ang);
+        const cos_dang=cos(dang);
+        const sin_dang=sin(dang);
+        rot_x(a,b)=a*cos_ang-b*sin_ang;
+        rot_y(a,b)=a*sin_ang+b*cos_ang;
+        dist_rot_x(a,b)=a*cos_dang-b*sin_dang;
+        dist_rot_y(a,b)=a*sin_dang+b*cos_dang;
         sq2(a,b)=sqrt(a^2+b^2);
         const sd=max(w,h)/min(w,h);
         const sx=w>h?sd:1;
@@ -4085,8 +4097,10 @@ skip ${2=0},${3=0},${4=0}
 f "
 begin(
 ang=pi*($4/180);
-rot_x(a,b)=a*cos(ang)-b*sin(ang);
-rot_y(a,b)=a*sin(ang)+b*cos(ang);
+const cos_ang=cos(ang);
+const sin_ang=sin(ang);
+rot_x(a,b)=a*cos_ang-b*sin_ang;
+rot_y(a,b)=a*sin_ang+b*cos_ang;
 const blur=(round(abs($2)+1)-1)*2+3;
 const qblur=sqr(blur);
 const eblur=floor(blur/2);
@@ -8424,7 +8438,7 @@ gui_split_preview "gui_rep_acb $*",${-3--1}
 #@gui :_=separator()
 #@gui :_=note("<b>Fractal Calculation Constraints</b>")
 #@gui :_=note("<small>Information at bottom of filter. Some predefined formulas requires you to use low values. You may need to type in values from 5-1024 manually.</small>")
-#@gui :Escape Value=int(10000,5,1000000)
+#@gui :Escape Value=int(10000,5,3000000)
 #@gui :Loop Limitation=int(255,1,1024)
 #@gui :Subsampling Level=float(3,1,10)
 #@gui :_=separator(), _=note("<b>Distortion Factors</b>")