53 lines
2.0 KiB
Plaintext
53 lines
2.0 KiB
Plaintext
|
10 rem Function Graphing
|
||
|
|
20 rem by Golden Child
|
||
|
|
25 rem
|
||
|
|
30 rem Use Basic as your graphing calculator
|
||
|
|
31 rem
|
||
|
|
35 rem To graph a function, have a loop that iterates over every x on screen
|
||
|
|
36 rem calculate the x coordinate from the x screen coordinate
|
||
|
|
37 rem calculate y (your function value), set color and gosub 500
|
||
|
|
38 rem
|
||
|
|
40 rem for sx=0 to wx-1 : rem for screenx = 0 to 279
|
||
|
|
50 rem x=(sx-cx)/(wx/2)*rx : rem calculate x for screenx
|
||
|
|
60 rem y = x^2 : rem calculate y (here we calc x^2)
|
||
|
|
70 rem hcolor=1:gosub 500 : rem set color and draw
|
||
|
|
80 rem next sx
|
||
|
|
|
||
|
|
90 hgr
|
||
|
|
100 wx=280:wy=140 : rem windowx windowy (screen size)
|
||
|
|
120 cx=wx/2:cy=wy/2 : rem centerx centery (screen center point)
|
||
|
|
130 hcolor=6:hplot cx,cy : rem draw centerpoint
|
||
|
|
|
||
|
|
140 rx=4:ry=rx/2 : rem rangex and rangey
|
||
|
|
141 gx=1:gy=gx : rem gridx and gridy spacing
|
||
|
|
|
||
|
|
142 for x=int(-rx) to int(rx) step gx : rem draw grid
|
||
|
|
143 for y=int(-ry) to int(ry) step gy
|
||
|
|
144 sx=cx+x*(wx/2)/rx:hcolor=6:gosub 500 : ? x,y
|
||
|
|
145 next:next
|
||
|
|
|
||
|
|
150 for sx=0 to wx-1 : rem for screenx = 0 to 279
|
||
|
|
160 x=(sx-cx)/(wx/2)*rx : rem calculate x for screenx
|
||
|
|
200 y = x^2 : rem calculate y
|
||
|
|
201 hcolor=1:gosub 500 : rem set hcolor, gosub 500 (calculate screeny and plot)
|
||
|
|
205 y = sin(x*2) : rem can draw as many functions as you like
|
||
|
|
260 hcolor=3:gosub 500 : rem just calc y, set hcolor, gosub 500
|
||
|
|
265 y=sin(x*3)
|
||
|
|
270 hcolor=2:gosub 500
|
||
|
|
271 y=0:hcolor=5:gosub 500 : rem draw x axis, set y=0, gosub 500
|
||
|
|
|
||
|
|
272 if (4-x^2)>=0 then y=sqr(4-x^2):gosub 500: y=-sqr(4-x^2):gosub 500:rem circle
|
||
|
|
|
||
|
|
273 rem tangent line to x^2 at x=1 : derivative=2x so slope = m = 2x
|
||
|
|
274 rem manually calculated formula for tangent line at x=1
|
||
|
|
275 y=1+(x-1)*(2) : gosub 500
|
||
|
|
276 rem calculating tangent line from x1 coordinate
|
||
|
|
277 x1=-1 : y1=x1^2 : m=2*x1 : y=y1 + (x-x1)*m : hcolor=1:gosub 500
|
||
|
|
400 next sx
|
||
|
|
|
||
|
|
499 print "end" : END
|
||
|
|
500 sy=cy-y*(wy/2)/ry : rem calculate screeny
|
||
|
|
505 print sx,sy
|
||
|
|
510 if sy>=0 and sy<=159 and sx>=0 and sx<=279 then hplot sx,sy
|
||
|
|
520 return
|