BFComplex *ComplexPower_bf(BFComplex *t, BFComplex *xx, BFComplex *yy)
{
BFComplex tmp;
bf_t e2x, siny, cosy;
int saved;
saved = save_stack();
e2x = alloc_stack(rbflength+2);
siny = alloc_stack(rbflength+2);
cosy = alloc_stack(rbflength+2);
tmp.x = alloc_stack(rbflength+2);
tmp.y = alloc_stack(rbflength+2);
// 0 raised to anything is 0
if (is_bf_zero(xx->x) && is_bf_zero(xx->y))
{
clear_bf(t->x);
clear_bf(t->y);
return (t);
}
cmplxlog_bf(t, xx);
cplxmul_bf(&tmp, t, yy);
exp_bf(e2x, tmp.x);
sincos_bf(siny, cosy, tmp.y);
mult_bf(t->x, e2x, cosy);
mult_bf(t->y, e2x, siny);
restore_stack(saved);
return (t);
}
void zoomoutbf(void) /* for ctl-enter, calc corners for zooming out */
{
/* (xxmin,yymax), etc, are already set to zoombox corners;
(sxmin,symax), etc, are still the screen's corners;
use the same logic as plot_orbit stuff to first calculate current screen
corners relative to the zoombox, as if the zoombox were a square with
upper left (0,0) and width/depth 1; ie calc the current screen corners
as if plotting them from the zoombox;
then extend these co-ords from current real screen corners to get
new actual corners
*/
bf_t savbfxmin,savbfymax,bfftemp;
bf_t tmp1, tmp2, tmp3, tmp4, tmp5, tmp6,bfplotmx1,bfplotmx2,bfplotmy1,bfplotmy2;
int saved;
saved = save_stack();
savbfxmin = alloc_stack(rbflength+2);
savbfymax = alloc_stack(rbflength+2);
bfftemp = alloc_stack(rbflength+2);
tmp1 = alloc_stack(rbflength+2);
tmp2 = alloc_stack(rbflength+2);
tmp3 = alloc_stack(rbflength+2);
tmp4 = alloc_stack(rbflength+2);
tmp5 = alloc_stack(rbflength+2);
tmp6 = alloc_stack(rbflength+2);
bfplotmx1 = alloc_stack(rbflength+2);
bfplotmx2 = alloc_stack(rbflength+2);
bfplotmy1 = alloc_stack(rbflength+2);
bfplotmy2 = alloc_stack(rbflength+2);
/* ftemp = (yymin-yy3rd)*(xx3rd-xxmin) - (xxmax-xx3rd)*(yy3rd-yymax); */
sub_bf(tmp1,bfymin,bfy3rd);
sub_bf(tmp2,bfx3rd,bfxmin);
sub_bf(tmp3,bfxmax,bfx3rd);
sub_bf(tmp4,bfy3rd,bfymax);
mult_bf(tmp5,tmp1,tmp2);
mult_bf(tmp6,tmp3,tmp4);
sub_bf(bfftemp,tmp5,tmp6);
/* plotmx1 = (xx3rd-xxmin); */ ; /* reuse the plotxxx vars is safe */
copy_bf(bfplotmx1,tmp2);
/* plotmx2 = (yy3rd-yymax); */
copy_bf(bfplotmx2,tmp4);
/* plotmy1 = (yymin-yy3rd); */
copy_bf(bfplotmy1,tmp1);
/* plotmy2 = (xxmax-xx3rd); */;
copy_bf(bfplotmy2,tmp3);
/* savxxmin = xxmin; savyymax = yymax; */
copy_bf(savbfxmin,bfxmin); copy_bf(savbfymax,bfymax);
sub_bf(tmp1,bfsxmin,savbfxmin); sub_bf(tmp2,bfsymax,savbfymax);
zmo_calcbf(tmp1,tmp2,bfxmin,bfymax,bfplotmx1,bfplotmx2,bfplotmy1,
bfplotmy2,bfftemp);
sub_bf(tmp1,bfsxmax,savbfxmin); sub_bf(tmp2,bfsymin,savbfymax);
zmo_calcbf(tmp1,tmp2,bfxmax,bfymin,bfplotmx1,bfplotmx2,bfplotmy1,
bfplotmy2,bfftemp);
sub_bf(tmp1,bfsx3rd,savbfxmin); sub_bf(tmp2,bfsy3rd,savbfymax);
zmo_calcbf(tmp1,tmp2,bfx3rd,bfy3rd,bfplotmx1,bfplotmx2,bfplotmy1,
bfplotmy2,bfftemp);
restore_stack(saved);
}
BFComplex *cplxmul_bf(BFComplex *t, BFComplex *x, BFComplex *y)
{
bf_t tmp1;
int saved;
saved = save_stack();
tmp1 = alloc_stack(rbflength+2);
mult_bf(t->x, x->x, y->x);
mult_bf(t->y, x->y, y->y);
sub_bf(t->x, t->x, t->y);
mult_bf(tmp1, x->x, y->y);
mult_bf(t->y, x->y, y->x);
add_bf(t->y, tmp1, t->y);
restore_stack(saved);
return (t);
}
/* big number declarations */
void calc_corner(bf_t target,bf_t p1,double p2,bf_t p3,double p4,bf_t p5)
{
bf_t btmp1, btmp2 ,btmp3;
int saved; saved = save_stack();
btmp1 = alloc_stack(rbflength+2);
btmp2 = alloc_stack(rbflength+2);
btmp3 = alloc_stack(rbflength+2);
/* use target as temporary variable */
floattobf(btmp3, p2);
mult_bf(btmp1,btmp3,p3);
mult_bf(btmp2,floattobf(target, p4),p5);
add_bf(target,btmp1,btmp2);
add_a_bf(target,p1);
restore_stack(saved);
}
static void _fastcall zmo_calcbf(bf_t bfdx, bf_t bfdy,
bf_t bfnewx, bf_t bfnewy,bf_t bfplotmx1, bf_t bfplotmx2, bf_t bfplotmy1,
bf_t bfplotmy2, bf_t bfftemp)
{
bf_t btmp1, btmp2, btmp3, btmp4, btempx, btempy ;
bf_t btmp2a, btmp4a;
int saved; saved = save_stack();
btmp1 = alloc_stack(rbflength+2);
btmp2 = alloc_stack(rbflength+2);
btmp3 = alloc_stack(rbflength+2);
btmp4 = alloc_stack(rbflength+2);
btmp2a = alloc_stack(rbflength+2);
btmp4a = alloc_stack(rbflength+2);
btempx = alloc_stack(rbflength+2);
btempy = alloc_stack(rbflength+2);
/* calc cur screen corner relative to zoombox, when zoombox co-ords
are taken as (0,0) topleft thru (1,1) bottom right */
/* tempx = dy * plotmx1 - dx * plotmx2; */
mult_bf(btmp1,bfdy,bfplotmx1);
mult_bf(btmp2,bfdx,bfplotmx2);
sub_bf(btempx,btmp1,btmp2);
/* tempy = dx * plotmy1 - dy * plotmy2; */
mult_bf(btmp1,bfdx,bfplotmy1);
mult_bf(btmp2,bfdy,bfplotmy2);
sub_bf(btempy,btmp1,btmp2);
/* calc new corner by extending from current screen corners */
/* *newx = sxmin + tempx*(sxmax-sx3rd)/ftemp + tempy*(sx3rd-sxmin)/ftemp; */
sub_bf(btmp1,bfsxmax,bfsx3rd);
mult_bf(btmp2,btempx,btmp1);
/* show_three_bf("fact1",btempx,"fact2",btmp1,"prod ",btmp2,70); */
div_bf(btmp2a,btmp2,bfftemp);
/* show_three_bf("num ",btmp2,"denom",bfftemp,"quot ",btmp2a,70); */
sub_bf(btmp3,bfsx3rd,bfsxmin);
mult_bf(btmp4,btempy,btmp3);
div_bf(btmp4a,btmp4,bfftemp);
add_bf(bfnewx,bfsxmin,btmp2a);
add_a_bf(bfnewx,btmp4a);
/* *newy = symax + tempy*(sy3rd-symax)/ftemp + tempx*(symin-sy3rd)/ftemp; */
sub_bf(btmp1,bfsy3rd,bfsymax);
mult_bf(btmp2,btempy,btmp1);
div_bf(btmp2a,btmp2,bfftemp);
sub_bf(btmp3,bfsymin,bfsy3rd);
mult_bf(btmp4,btempx,btmp3);
div_bf(btmp4a,btmp4,bfftemp);
add_bf(bfnewy,bfsymax,btmp2a);
add_a_bf(bfnewy,btmp4a);
restore_stack(saved);
}
int
JuliabfFractal()
{
// new.x = tmpsqrx - tmpsqry + parm.x;
sub_a_bf(bftmpsqrx, bftmpsqry);
add_bf(bfnew.x, bftmpsqrx, bfparm.x);
// new.y = 2 * bfold.x * bfold.y + parm.y;
mult_bf(bftmp, bfold.x, bfold.y); // ok to use unsafe here
double_a_bf(bftmp);
add_bf(bfnew.y, bftmp, bfparm.y);
return bigfltbailout();
}
