RE: Another small filled circe sub (not as fast as fcirc) - bplus - 08-30-2024
It should not make a difference which sub tested goes first. I even did not count times in the first cycle through tests AND I put a _Delay .1 before each Timer(.001) reset of T##
This code:
Code: (Select All) _Title "FC3 versus fcirc" ' b+ 2024-08-30
'Dav, AUG/2024 bplus mod 2024-08-28 try faster FC2 mod of fc
' 2024-08-29 try larger circles all on screen with FC3
' 2024-08-30 test idea who goes first loses!
' fix color in FC3 sub
' remove int() from SQR result in FC3
' 2024-08-30 take reverse order code and reverse back to running fcirc first
' next line uncommented will speed up test time but wont be able to exit until done.
$Checking:Off
Screen _NewImage(1000, 700, 32)
_ScreenMove 150, 0
Randomize Timer
Print "Overlapping lines check of FC3"
FC3 500, 350, 300, _RGB32(0, 0, 255, 100) ' check for overlapping lines
Print "Looking good! no lighter lines." ' FC passes too BTW
Print: Print " zzz... press any for timed test"
Sleep
Cls
For i = 1 To 11
If i = 1 Then ' in case going first has disadvantage don't time fisrt round
t## = Timer(.001) ' get the first call to timer over with
fcirc Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
FC3 Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
Else
'time the fcirc sub
_Delay .1
t## = Timer(.001)
For c = 1 To 2000
fcirc Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
_Display
Next
t1## = t1## + Timer(.001) - t##
'time the fc3 sub
_Delay .1
t## = Timer(.001)
For c = 1 To 2000
FC3 Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
_Display
Next
t2## = t2## + Timer(.001) - t##
End If
Next
Print
Print "fcirc ="; t1##
Print " FC3 ="; t2##
Print
If t2## < t1## Then
Print "FC3 wins!"
ElseIf t1## < t2## Then ' EDIT fixed!
Print "fcirc wins!"
Else
Print "Tie fcirc = FC3 time"
End If
_Display
Sub FC3 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
y = 1
r2 = r * r ' Dav mod
While y <= r
x = Sqr(r2 - y * y) ' r2 Dav
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
y = y + 1
Wend
End Sub
Sub fcirc (CX As Integer, CY As Integer, R As Integer, C As _Unsigned Long)
Dim Radius As Integer, RadiusError As Integer
Dim X As Integer, Y As Integer
Radius = Abs(R): RadiusError = -Radius: X = Radius: Y = 0
If Radius = 0 Then PSet (CX, CY), C: Exit Sub
Line (CX - X, CY)-(CX + X, CY), C, BF
While X > Y
RadiusError = RadiusError + Y * 2 + 1
If RadiusError >= 0 Then
If X <> Y + 1 Then
Line (CX - Y, CY - X)-(CX + Y, CY - X), C, BF
Line (CX - Y, CY + X)-(CX + Y, CY + X), C, BF
End If
X = X - 1
RadiusError = RadiusError - X * 2
End If
Y = Y + 1
Line (CX - X, CY - Y)-(CX + X, CY - Y), C, BF
Line (CX - X, CY + Y)-(CX + X, CY + Y), C, BF
Wend
End Sub
Had FC3 beat fcirc 8 times to 2
This code (reversed the order)
Code: (Select All) _Title "FC3 versus fcirc reverse order" ' b+ 2024-08-30
'Dav, AUG/2024 bplus mod 2024-08-28 try faster FC2 mod of fc
' 2024-08-29 try larger circles all on screen with FC3
' 2024-08-30 test idea who goes first loses!
' fix color in FC3 sub
' remove int() from SQR result in FC3
' next line uncommented will speed up test time but wont be able to exit until done.
$Checking:Off
Screen _NewImage(1000, 700, 32)
_ScreenMove 150, 0
Randomize Timer
Print "Overlapping lines check of FC3"
FC3 500, 350, 300, _RGB32(0, 0, 255, 100) ' check for overlapping lines
Print "Looking good! no lighter lines." ' FC passes too BTW
Print: Print " zzz... press any for timed test"
Sleep
Cls
For i = 1 To 11
If i = 1 Then ' in case going first has disadvantage don't time fisrt round
t## = Timer(.001) ' get the first call to timer over with
FC3 Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
fcirc Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
Else
'time the FC3 sub
_Delay .1
t## = Timer(.001)
For c = 1 To 2000
FC3 Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
_Display
Next
t1## = t1## + Timer(.001) - t##
'time the fc2 sub
_Delay .1
t## = Timer(.001)
For c = 1 To 2000
fcirc Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
_Display
Next
t2## = t2## + Timer(.001) - t##
End If
Next
Print
Print " FC3 ="; t1##
Print "fcirc ="; t2##
Print
If t2## < t1## Then
Print "fcirc wins!"
ElseIf t1## < t2## Then ' EDIT fixed!
Print "FC3 wins!"
Else
Print "Tie fcirc = FC3 time"
End If
_Display
Sub FC3 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
y = 1
r2 = r * r ' Dav mod
While y <= r
x = Sqr(r2 - y * y) ' r2 Dav
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
y = y + 1
Wend
End Sub
Sub fcirc (CX As Integer, CY As Integer, R As Integer, C As _Unsigned Long)
Dim Radius As Integer, RadiusError As Integer
Dim X As Integer, Y As Integer
Radius = Abs(R): RadiusError = -Radius: X = Radius: Y = 0
If Radius = 0 Then PSet (CX, CY), C: Exit Sub
Line (CX - X, CY)-(CX + X, CY), C, BF
While X > Y
RadiusError = RadiusError + Y * 2 + 1
If RadiusError >= 0 Then
If X <> Y + 1 Then
Line (CX - Y, CY - X)-(CX + Y, CY - X), C, BF
Line (CX - Y, CY + X)-(CX + Y, CY + X), C, BF
End If
X = X - 1
RadiusError = RadiusError - X * 2
End If
Y = Y + 1
Line (CX - X, CY - Y)-(CX + X, CY - Y), C, BF
Line (CX - X, CY + Y)-(CX + X, CY + Y), C, BF
Wend
End Sub
had fcirc beat FC3 6 to 4.
BTW this version of FC3 does not Integer anything because Line does that for us!
Code: (Select All) Sub FC3 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
y = 1
r2 = r * r ' Dav mod
While y <= r
x = Sqr(r2 - y * y) ' r2 Dav
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
y = y + 1
Wend
End Sub
RE: Another small filled circe sub (not as fast as fcirc) - Pete - 08-30-2024
Ah yes, Line makes it into an integer, but having x in a loop as a single instead of an integer should, in theory, slow the loop down.
Pete
RE: Another small filled circe sub (not as fast as fcirc) - bplus - 08-30-2024
(08-30-2024, 05:56 PM)Pete Wrote: Ah yes, Line makes it into an integer, but having x in a loop as a single instead of an integer should, in theory, slow the loop down.
Pete
In my beginning experiments with Dav's code declaring types as integer or long actually slowed things down. math between different types slows things down and I think Single is same byte size as long, no?
RE: Another small filled circe sub (not as fast as fcirc) - Pete - 08-30-2024
Yes, Single and Long both occupy 4-bytes. Integer is 2, so in theory, it should speed things up in a long loop as it only gets dimmed once. As Spock would say, "Fascinating."
Pete
- Democrat Vulcans live long and piss poor.
RE: Another small filled circe sub (not as fast as fcirc) - Pete - 08-30-2024
@bplus
Oh, I just thought of another possibility...
Quit looping around!
Edited. The first example was some bull****!
Code: (Select All)
r = 5
y = 1
While y <= r ' Entry controlled loop with seed (y = 1). When y = 5 it wastes an iteration making y = 6. It then completes the 'Wend' statement and exits at the 'While' statement.
Print "y ="; y
y = y + 1
Wend
Rem or...
Print
y = 0
While y < r ' Entry controlled loop, no seed. When y = 5 it completes the 'Wend' statement and exits at the 'While' statement.
y = y + 1
Print "y ="; y
Wend
Rem or...
Print
y = 0
Do
y = y + 1 ' Exit controlled loop, no seed. When y = 5 it exits at the 'Loop Until' statement.
Print "y ="; y
Loop Until y = r
The third coding style should be the fastest.
Pete
RE: Another small filled circe sub (not as fast as fcirc) - bplus - 08-30-2024
@Pete don't see much difference? they both print 2 to 11 for r = 10 and y starting at 1
Hey I found some old speed tests comparing a bunch of Circle fill routines with Gold Standard.
Compare new FC3 to old fCirc2 they are the same except one uses the default Single Type and the old fCirc2 declares all the variables.
The old fCirc2 was clearly slower than the Gold Standard BUT
FC3 is faster that the Standard in 1,000,000 iterations of drawing. Had to do 1 Million to overcome the disadvantage of going first!
Code: (Select All) _Title "Circle Fill speed tests"
Screen _NewImage(1220, 680, 32)
_ScreenMove 50, 20
_Delay 1
ntests = 1000000 'it takes a really long run to prove Gold Standard Speed 167.9 versus vince 168.1
'ntests = 1000 'fast elimination
'It has been noticed that the one going first has a disadvantage
' ==================================================== the contender on left of screen
start## = Timer
For i = 1 To ntests
FC3 305, 305, 300, _RGBA32(0, 100, 0, 100)
'arcRing 305, 305, 300, 0, 0, 2 * _Pi, _RGBA32(0, 100, 0, 100)
Next
finish## = Timer - start##
_PrintString (100, 615), "Time for" + Str$(ntests) + " Contender Fills:" + Str$(finish##)
start## = Timer 'this runs the Gold standard to beat on Right Side of screen
For i = 1 To ntests
fcirc0 915, 305, 300, _RGBA32(0, 100, 0, 100)
Next
finish## = Timer - start##
_PrintString (700, 615), "Time for" + Str$(ntests) + " Gold Standard Circle Fills:" + Str$(finish##)
'from Gold standard
Sub fcirc0 (CX As Integer, CY As Integer, R As Integer, C As _Unsigned Long)
Dim Radius As Integer, RadiusError As Integer
Dim X As Integer, Y As Integer
Radius = Abs(R)
RadiusError = -Radius
X = Radius
Y = 0
If Radius = 0 Then PSet (CX, CY), C: Exit Sub
' Draw the middle span here so we don't draw it twice in the main loop,
' which would be a problem with blending turned on.
Line (CX - X, CY)-(CX + X, CY), C, BF
While X > Y
RadiusError = RadiusError + Y * 2 + 1
If RadiusError >= 0 Then
If X <> Y + 1 Then
Line (CX - Y, CY - X)-(CX + Y, CY - X), C, BF
Line (CX - Y, CY + X)-(CX + Y, CY + X), C, BF
End If
X = X - 1
RadiusError = RadiusError - X * 2
End If
Y = Y + 1
Line (CX - X, CY - Y)-(CX + X, CY - Y), C, BF
Line (CX - X, CY + Y)-(CX + X, CY + Y), C, BF
Wend
End Sub
'vince's circle fill this one does not bother with types good almost identical to Steve's
Sub fcirc1 (x, y, r, c As _Unsigned Long)
x0 = r
y0 = 0
e = -r
Do While y0 < x0
If e <= 0 Then
y0 = y0 + 1
Line (x - x0, y + y0)-(x + x0, y + y0), c, BF
Line (x - x0, y - y0)-(x + x0, y - y0), c, BF
e = e + 2 * y0
Else
Line (x - y0, y - x0)-(x + y0, y - x0), c, BF
Line (x - y0, y + x0)-(x + y0, y + x0), c, BF
x0 = x0 - 1
e = e - 2 * x0
End If
Loop
Line (x - r, y)-(x + r, y), c, BF
End Sub
'this does not overlap with circle well 2.13 x's Gold Time
Sub fCirc2 (xx As Long, yy As Long, r As Long, K As _Unsigned Long)
Dim r2 As Long, x As Long, y As Long, xstop As Long
r2 = r * r
x = 1
xstop = r + 1
While x < xstop 'remove FOR loop
y = Sqr(r2 - x * x)
Line (xx - x, yy + y)-(xx - x, yy - y), K, BF
Line (xx + x, yy + y)-(xx + x, yy - y), K, BF
x = x + 1
Wend
Line (xx, yy - r)-(xx, yy + r), K, BF
End Sub
'andy amaya's version from SB, way too much overlapping! Junk as is but 1.1 Gold Standard Time
Sub fCirc3 (CX As Long, CY As Long, R As Long, K As _Unsigned Long) 'thanks Andy Amaya for heads up
Dim x As Long, y As Long, Xchange As Integer, yChange As Integer, RadiusError As Integer
x = R
y = 0
Xchange = 1 - 2 * R
yChange = 1
RadiusError = 0
While x >= y
Line (CX - x, CY + y)-(CX + x, CY + y), K, BF ';used calc'd values to draw
Line (CX - x, CY - y)-(CX + x, CY - y), K, BF ';scan lines from points
Line (CX - y, CY + x)-(CX + y, CY + x), K, BF ';in opposite octants
Line (CX - y, CY - x)-(CX + y, CY - x), K, BF
y = y + 1
RadiusError = RadiusError + yChange
yChange = yChange + 2
If 2 * RadiusError + Xchange > 0 Then
x = x - 1
RadiusError = RadiusError + Xchange
Xchange = Xchange + 2
End If
Wend
End Sub
'fCirc but doing octants until get to square, then just do square fill! 1.18 Gold Sdt
'this is closer to matching the Gold Standard
Sub fCirc4 (xx As Long, yy As Long, r As Long, K As _Unsigned Long)
Dim r2 As Long, t As Long, dist As Long, tstop As Long
r2 = r * r
t = r 'r - 1 gets rid of nipples but...
tstop = r * .707106781
While t > tstop 'remove FOR loop
dist = Sqr(r2 - t * t) ' + .5 for rounding down
Line (xx - t, yy + dist)-(xx - t, yy - dist), K, BF
Line (xx + t, yy + dist)-(xx + t, yy - dist), K, BF
Line (xx + dist, yy + t)-(xx - dist, yy + t), K, BF
Line (xx + dist, yy - t)-(xx - dist, yy - t), K, BF
t = t - 1
Wend
Line (xx - tstop, yy - tstop)-(xx + tstop, yy + tstop), K, BF
End Sub
'add a routine for sqr root 1,16 X's Gold Std
Sub fCirc5 (xx As Long, yy As Long, r As Long, K As _Unsigned Long)
Dim r2 As Long, t As Long, tstop As Long
Dim dist1 As Single, dist As Single, dist2 As Long, s As Long
r2 = r * r
t = r 'r - 1 gets rid of nipples but...
tstop = r * .707106781
While t > tstop 'remove FOR loop
'VVVVVVVVVVVVVVVVVVV this might now save a shade off SQR
s = r2 - t * t
dist = s / 10
dist2 = dist * dist
'WHILE ABS(dist ^ 2 - s) >= 1 'no! avoid function calls!
While dist2 - s > 1 Or dist2 - s < -1
dist = .5 * (dist + s / dist)
dist2 = dist * dist
Wend
'VVVVVVVVVVVVVVVVV faster to use this YES
'dist = SQR(r2 - t * t) ' + .5 for rounding down
Line (xx - t, yy + dist)-(xx - t, yy - dist), K, BF
Line (xx + t, yy + dist)-(xx + t, yy - dist), K, BF
Line (xx + dist, yy + t)-(xx - dist, yy + t), K, BF
Line (xx + dist, yy - t)-(xx - dist, yy - t), K, BF
t = t - 1
Wend
Line (xx - tstop, yy - tstop)-(xx + tstop, yy + tstop), K, BF
End Sub
'too slow, dest can't just be 0 Junk as is
Sub fcirc6 (xOrigin As Long, yOrigin As Long, radius As Long, K As _Unsigned Long)
a& = _NewImage(1, 1, 32)
_Dest a&
PSet (0, 0), K
_Dest 0
Dim x1 As Long, y1 As Long, x2 As Long, y2 As Long, i As Integer
Dim polyAngle As Single
polyAngle = _Pi(2) / 60
x1 = xOrigin + radius * Cos(polyAngle)
y1 = yOrigin + radius * Sin(polyAngle)
For i = 2 To 61
x2 = xOrigin + radius * Cos(i * polyAngle)
y2 = yOrigin + radius * Sin(i * polyAngle)
_MapTriangle (0, 0)-(0, 0)-(0, 0), a& To(xOrigin, yOrigin)-(x1, y1)-(x2, y2), 0
x1 = x2: y1 = y2
Next
_FreeImage a& '<<< this is important!
End Sub
'doing a circle fill with this runs 20 x's slower than Gold Std Circle Fill
Sub arcRing (x0, y0, outerR, innerR, raStart, raEnd, colr As _Unsigned Long)
PI2 = _Pi(2)
PI32 = _Pi(1.5)
PIh = _Pi(.5)
PI = _Pi
raS = raStart
While raS >= PI2
raS = raS - PI2
Wend
While raS < 0
raS = raS + PI2
Wend
raE = raEnd
While raE < 0
raE = raE + PI2
Wend
While raE >= PI2
raE = raE - PI2
Wend
If raE > raS Then ck1 = -1
For y = y0 - outerR To y0 + outerR
For x = x0 - outerR To x0 + outerR
dist = Sqr((x - x0) * (x - x0) + (y - y0) * (y - y0))
If dist >= innerR And dist <= outerR Then 'within 2 radii
'angle of x, y to x0, y0
If x - x0 <> 0 And y - y0 <> 0 Then
ra = _Atan2(y - y0, x - x0)
If ra < 0 Then ra = ra + PI2
ElseIf x - x0 = 0 Then
If y >= y0 Then ra = _Pi / 2 Else ra = PI32
ElseIf y - y0 = 0 Then
If x >= x0 Then ra = 0 Else ra = PI
End If
If ck1 Then 'raEnd > raStart
If ra >= raS And ra <= raE Then
PSet (x, y), colr
End If
Else 'raEnd < raStart, raEnd is falls before raStart clockwise so fill through 2 * PI
If ra >= raS And ra < PI2 Then
PSet (x, y), colr
Else
If ra >= 0 And ra <= raE Then
PSet (x, y), colr
End If
End If
End If
End If
Next
Next
End Sub
Sub FC3 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
y = 1
r2 = r * r ' Dav mod
While y <= r
x = Sqr(r2 - y * y) ' r2 Dav
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
y = y + 1
Wend
End Sub
Also the old fCirc2 had an extra variable xstop which was a waste of time!
RE: Another small filled circe sub (not as fast as fcirc) - Pete - 08-30-2024
Try FC3 this way...
Code: (Select All) Sub FC3 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
r2 = r * r ' Dav mod
Do While y <= r
y = y + 1
x = Sqr(r2 - y * y) ' r2 Dav
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
Loop
End Sub
I'm also wondering about this...
Code: (Select All) Sub FC3 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
r2 = r * r ' Dav mod
Do Until y = r ' Since we are working with integers, would this be an alternative?
y = y + 1
x = Sqr(r2 - y * y) ' r2 Dav
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
Loop
End Sub
RE: Another small filled circe sub (not as fast as fcirc) - bplus - 08-30-2024
@Pete what do you have against While... Wend same difference to me?
You are free to plug that code into the test code I showed and try it.
RE: Another small filled circe sub (not as fast as fcirc) - bplus - 08-31-2024
Interesting, it takes aproximately 60 secs longer when QB64pe is idling in background than when the exe straight out of navigator and turning navigator off. 60 secs
meanwhile the difference between PeteFC3 mod and Gold standard is less that a sec! of aprox 667 secs each.
Code: (Select All) Sub PeteFC3 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
r2 = r * r ' Dav mod
Do Until y = r ' Since we are working with integers, would this be an alternative?
y = y + 1
x = Sqr(r2 - y * y) ' r2 Dav
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
Loop
End Sub
RE: Another small filled circe sub (not as fast as fcirc) - Pete - 08-31-2024
Code: (Select All)
$Checking:Off
Screen _NewImage(1000, 700, 32)
_ScreenMove 150, 0
Randomize Timer
Print "Overlapping lines check of FC3"
FC3 500, 350, 300, _RGB32(0, 0, 255, 100) ' check for overlapping lines
Print "Looking good! no lighter lines." ' FC passes too BTW
Print: Print " zzz... press any for timed test"
Sleep
Cls
For i = 1 To 11
If i = 1 Then ' in case going first has disadvantage don't time fisrt round
t## = Timer(.001) ' get the first call to timer over with
FC3 Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
fc3_2 Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
Else
'time the FC3 sub
_Delay .1
t## = Timer(.001)
For c = 1 To 2000
FC3 Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
_Display
Next
t1## = t1## + Timer(.001) - t##
'time the fc2 sub
_Delay .1
t## = Timer(.001)
For c = 1 To 2000
fc3_2 Rnd * (_Width - 700) + 350, 350, 350, _RGB32(Rnd * 255, Rnd * 255, Rnd * 255)
_Display
Next
t2## = t2## + Timer(.001) - t##
End If
Next
Print
Print " FC3 ="; t1##
Print "FC3-2 ="; t2##
Print
If t2## < t1## Then
Print "fc3_2 wins!"
ElseIf t1## < t2## Then ' EDIT fixed!
Print "FC3 wins!"
Else
Print "Tie fc3_2 = FC3 tme"
End If
_Display
Sub FC3 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
y = 1
r2 = r * r
While y <= r
x = Sqr(r2 - y * y)
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
y = y + 1
Wend
End Sub
Sub fc3_2 (cx, cy, r, clr~&)
Line (cx - r, cy)-(cx + r, cy), clr~&, BF
r2 = r * r
Do Until y = r
y = y + 1
x = Sqr(r2 - y * y)
Line (cx - x, cy + y)-(cx + x, cy + y), clr~&, BF
Line (cx - x, cy - y)-(cx + x, cy - y), clr~&, BF
Loop
End Sub
So this is why I don't speed check on my system.
Notice both subs are the SAME, so they should run about the same time, nope. 3 runs...
Pete
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