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Vince's Corner Takeout
#8
Fractal explorer

May as well stick this one in here.  It's a convenient mouse driven interface for exploring escape-time fractals.  I use it for all kinds of custom formulas but the following is showing the classic Mandelbrot (there are a couple of others in there commented out that you can try).  Left/right click to zoom in and out.  Mouse wheel to change the zoom window.  Press keys '+' or '-' to increase or decrease the number of iterations.

Code: (Select All)
defint a-z

const sw = 800
const sh = 600

dim shared pi as double
pi = 4*atn(1)

dim shared mx,my,mbl,mbr,mw

dim u as double, v as double
dim uu as double, vv as double
dim xx as double, yy as double
dim x0 as double, y0 as double
dim z as double, zz as double
dim c as single
z = 0.004
zz = 0.1
x0 = -0.5

dim p1 as long
p1 = _newimage(sw, sh, 32)
screen _newimage(sw, sh, 32)

redraw = -1
iter = 100

do
        mw = 0
        getmouse

        if redraw then
                for y = 0 to sh-1
                for x = 0 to sw-1
                        u = 0
                        v = 0

                        xx = (x - sw/2)*z + x0
                        yy = (y - sh/2)*z + y0

                        for i = 0 to iter
                                '''mandelbrot
                                uu = u*u - v*v + xx
                                vv = 2*u*v + yy
                                '''

                                '''burning ship
                                'u = abs(u)
                                'v = abs(v)
                                'uu = u*u - v*v + xx
                                'vv = 2*u*v + yy
                                '''

                                '''tricorn
                                'u = u
                                'v = -v
                                'uu = u*u - v*v + xx
                                'vv = 2*u*v + yy
                                '''

                                u = uu
                                v = vv

                                if (u*u + v*v) > 4 then exit for
                        next
                        if i > iter then
                                pset(x, y), _rgb(0,0,0)
                        else
                                c = i/iter
                                r =  80 - 80*sin(2*pi*c - pi/2)
                                g = (114 + 114*sin(2*pi*c*1.5 - pi/2)) * -(c < 0.66)
                                b = (114 + 114*sin(2*pi*c*1.5 + pi/2)) * -(c > 0.33)

                                pset(x, y), _rgb(r, g, b)
                        end if
                next
                next

                'locate 1,1
                'print "iter =";iter
                _title str$(iter)

                _dest p1
                _putimage , 0
                _dest 0

                _putimage , p1
                _autodisplay

                redraw = 0
        end if

        if mw < 0 then
                zz = zz + 0.01
        elseif mw > 0 then
                if zz > 0.01 then zz = zz - 0.01
        end if

        'draw box
        if omx <> mx or omy <> my or mw <> 0 then
                _putimage , p1
                line (mx - (sw*zz/2), my - (sh*zz/2))-step(sw*zz,sh*zz),_rgb(255,255,255),b
                _autodisplay

                omx = mx
                omy = my
        end if

        if mbl then
                do
                        getmouse
                loop while mbl

                x0 = x0 + (mx - sw/2)*z
                y0 = y0 - (sh/2 - my)*z
                z = z*zz

                iter = iter + 100

                redraw = -1
        elseif mbr then
                do
                        getMouse
                loop while mbr

                x0 = x0 + (mx - sw/2)*z
                y0 = y0 - (sh/2 - my)*z
                z = z/zz

                iter = iter - 100

                redraw = -1
        end if

        k = _keyhit
        if k = 43 then
                iter = iter + 50
                redraw = -1
        elseif k = 45 then
                if iter > 50 then iter = iter - 50
                redraw = -1
        end if

loop until k = 27
system

sub getmouse ()
        do
                mx = _mousex
                my = _mousey
                mbl = _mousebutton(1)
                mbr = _mousebutton(2)
                mw = mw + _mousewheel
        loop while _mouseinput
end sub
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Messages In This Thread
Vince's Corner Takeout - by bplus - 04-29-2022, 02:12 PM
RE: Vince's Corner Takeout - by vince - 04-29-2022, 09:34 PM
RE: Vince's Corner Takeout - by vince - 05-02-2022, 03:10 AM
RE: Vince's Corner Takeout - by bplus - 05-02-2022, 04:25 AM
RE: Vince's Corner Takeout - by vince - 05-02-2022, 11:16 PM
RE: Vince's Corner Takeout - by vince - 05-03-2022, 01:10 AM
RE: Vince's Corner Takeout - by bplus - 05-03-2022, 01:15 AM
RE: Vince's Corner Takeout - by vince - 05-03-2022, 04:26 AM
RE: Vince's Corner Takeout - by bplus - 05-03-2022, 03:32 PM
RE: Vince's Corner Takeout - by vince - 05-10-2022, 03:41 AM
RE: Vince's Corner Takeout - by vince - 05-10-2022, 03:57 AM
RE: Vince's Corner Takeout - by dcromley - 05-10-2022, 02:57 PM
RE: Vince's Corner Takeout - by vince - 05-10-2022, 08:14 PM
RE: Vince's Corner Takeout - by SMcNeill - 05-10-2022, 02:59 PM
RE: Vince's Corner Takeout - by vince - 05-11-2022, 01:13 AM
RE: Vince's Corner Takeout - by dcromley - 05-11-2022, 01:58 AM
RE: Vince's Corner Takeout - by vince - 06-01-2022, 09:05 AM
RE: Vince's Corner Takeout - by vince - 08-11-2022, 02:51 AM
RE: Vince's Corner Takeout - by bplus - 06-03-2022, 02:47 PM
RE: Vince's Corner Takeout - by triggered - 06-04-2022, 02:00 AM
RE: Vince's Corner Takeout - by vince - 06-07-2022, 02:02 AM
RE: Vince's Corner Takeout - by bplus - 06-07-2022, 02:15 AM
RE: Vince's Corner Takeout - by vince - 07-13-2022, 05:23 AM
RE: Vince's Corner Takeout - by BSpinoza - 07-14-2022, 04:54 AM
RE: Vince's Corner Takeout - by bplus - 07-14-2022, 04:35 PM
RE: Vince's Corner Takeout - by aurel - 08-11-2022, 01:02 PM
RE: Vince's Corner Takeout - by bplus - 08-11-2022, 04:22 PM
RE: Vince's Corner Takeout - by aurel - 08-11-2022, 05:33 PM
RE: Vince's Corner Takeout - by BSpinoza - 08-12-2022, 03:44 AM
RE: Vince's Corner Takeout - by vince - 08-11-2022, 08:42 PM
RE: Vince's Corner Takeout - by vince - 08-19-2022, 05:00 AM
RE: Vince's Corner Takeout - by bplus - 08-19-2022, 06:33 PM
RE: Vince's Corner Takeout - by vince - 08-23-2022, 10:04 PM
RE: Vince's Corner Takeout - by vince - 11-04-2022, 01:48 AM
RE: Vince's Corner Takeout - by vince - 03-31-2023, 11:07 PM
RE: Vince's Corner Takeout - by vince - 09-18-2023, 11:45 PM
RE: Vince's Corner Takeout - by Dav - 09-19-2023, 12:54 AM
RE: Vince's Corner Takeout - by bplus - 09-19-2023, 01:37 AM
RE: Vince's Corner Takeout - by GareBear - 09-19-2023, 03:56 PM
RE: Vince's Corner Takeout - by bplus - 09-19-2023, 04:47 PM
RE: Vince's Corner Takeout - by vince - 09-19-2023, 06:54 PM
RE: Vince's Corner Takeout - by bplus - 09-19-2023, 09:02 PM
RE: Vince's Corner Takeout - by vince - 01-13-2024, 07:15 PM
RE: Vince's Corner Takeout - by bplus - 01-13-2024, 07:59 PM
RE: Vince's Corner Takeout - by GareBear - 01-13-2024, 10:54 PM
RE: Vince's Corner Takeout - by vince - 02-16-2024, 04:01 AM
RE: Vince's Corner Takeout - by bplus - 02-16-2024, 02:27 PM
RE: Vince's Corner Takeout - by vince - 02-16-2024, 07:16 PM
RE: Vince's Corner Takeout - by Sprezzo - 02-17-2024, 03:04 AM
RE: Vince's Corner Takeout - by bplus - 02-17-2024, 02:44 PM
RE: Vince's Corner Takeout - by vince - 10-07-2024, 08:11 AM
RE: Vince's Corner Takeout - by bplus - 10-07-2024, 01:32 PM
RE: Vince's Corner Takeout - by vince - 10-11-2024, 12:05 AM
RE: Vince's Corner Takeout - by vince - 10-11-2024, 12:16 AM
RE: Vince's Corner Takeout - by PhilOfPerth - 10-11-2024, 03:51 AM
RE: Vince's Corner Takeout - by vince - 10-11-2024, 07:55 PM
RE: Vince's Corner Takeout - by PhilOfPerth - 10-11-2024, 11:30 PM
RE: Vince's Corner Takeout - by vince - 10-15-2024, 10:54 AM
RE: Vince's Corner Takeout - by bplus - 10-15-2024, 01:40 PM



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