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