Goldbach's comet: Difference between revisions
Added uBasic/4tH version
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(Added uBasic/4tH version) |
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'''Stretch goal:''' (offsite SVG image) [https://raw.githubusercontent.com/thundergnat/rc/master/img/Goldbachs-Comet-Raku.svg Goldbachs-Comet-Raku.svg]
=={{header|uBasic/4tH}}==
For performance reasons only '''g(100000)''' is calculated. The value "810" has been verified and is correct.
<lang>Print "The first 100 G numbers are:"
c = 1
For n = 4 To 202 Step 2
Print Using "___#"; FUNC(_g(n));
If (c % 10) = 0 Then Print
c = c + 1
Next
Print "\nThe value of G(100000) is "; FUNC(_g(100000))
End
_isPrime
Param (1)
If a@ < 2 Then Return (0)
For i = 2 To FUNC(_Sqrt(a@))
If (a@ % i) = 0 Then Unloop: Return (0)
Next
Return (1)
_g
Param (1)
Local (2)
c@ = 0
If (a@ % 2) = 0 Then 'n in goldbach function g(n) must be even
For b@ = 2 To a@/2
If FUNC(_isPrime(b@)) * FUNC(_isPrime(a@ - b@)) Then c@ = c@ + 1
Next
EndIf
Return (c@)
_Sqrt
Param (1)
Local (3)
Let b@ = 1
Let c@ = 0
Do Until b@ > a@
Let b@ = b@ * 4
Loop
Do While b@ > 1
Let b@ = b@ / 4
Let d@ = a@ - c@ - b@
Let c@ = c@ / 2
If d@ > -1 Then
Let a@ = d@
Let c@ = c@ + b@
Endif
Loop
Return (c@)</lang>
{{out}}
<pre>The first 100 G numbers are:
1 1 1 2 1 2 2 2 2 3
3 3 2 3 2 4 4 2 3 4
3 4 5 4 3 5 3 4 6 3
5 6 2 5 6 5 5 7 4 5
8 5 4 9 4 5 7 3 6 8
5 6 8 6 7 10 6 6 12 4
5 10 3 7 9 6 5 8 7 8
11 6 5 12 4 8 11 5 8 10
5 6 13 9 6 11 7 7 14 6
8 13 5 8 11 7 9 13 8 9
The value of G(100000) is 810
0 OK, 0:210 </pre>
=={{header|Wren}}==
{{libheader|Wren-math}}
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