Blum integer: Difference between revisions

12,217 bytes removed ,  29 days ago
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→‎{{header|Phix}}: use pygments
m (Formatting fix)
m (→‎{{header|Phix}}: use pygments)
 
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{{trans|Pascal}}
You can run this online [http://phix.x10.mx/p2js/Blum.htm here].
<!--<syntaxhighlight lang="phix">(phixonline)-->
<syntaxhighlight lang="phix">
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
with javascript_semantics
<span style="color: #008080;">constant</span> <span style="color: #000000;">LIMIT</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1e7</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">N</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">((</span><span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #000000;">LIMIT</span><span style="color: #0000FF;">/</span><span style="color: #000000;">3</span><span style="color: #0000FF;">)-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">4</span><span style="color: #0000FF;">)+</span><span style="color: #000000;">1</span>
constant LIMIT = 1e7, N = floor((floor(LIMIT/3)-1)/4)+1
 
<span style="color: #008080;">function</span> <span style="color: #000000;">Sieve4n_3_Primes</span><span style="color: #0000FF;">()</span>
function Sieve4n_3_Primes()
<span style="color: #004080;">sequence</span> <span style="color: #000000;">sieve</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">N</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">p4n3</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
sequence sieve = repeat(0,N), p4n3 = {}
<span style="color: #008080;">for</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">N</span> <span style="color: #008080;">do</span>
for idx=1 to N do
<span style="color: #008080;">if</span> <span style="color: #000000;">sieve</span><span style="color: #0000FF;">[</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">]=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
if sieve[idx]=0 then
<span style="color: #004080;">integer</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">*</span><span style="color: #000000;">4</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span>
integer n = idx*4-1
<span style="color: #000000;">p4n3</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">n</span>
p4n3 &= n
<span style="color: #008080;">if</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">n</span><span style="color: #0000FF;">></span><span style="color: #000000;">N</span> <span style="color: #008080;">then</span>
if idx+n>N then
<span style="color: #000080;font-style:italic;">// collect the rest</span>
// collect the rest
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">N</span> <span style="color: #008080;">do</span>
for j=idx+1 to N do
<span style="color: #008080;">if</span> <span style="color: #000000;">sieve</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
if sieve[j]=0 then
<span style="color: #000000;">p4n3</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">4</span><span style="color: #0000FF;">*</span><span style="color: #000000;">j</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span>
<span style="color: #008080;">end</span> <spanp4n3 style&="color: #008080;">if</span>4*j-1
<span style="color: #008080;"> end</span> <span style="color: #008080;">for</span>if
end <span style="color: #008080;">exit</span>for
exit
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">idx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">n</span> <span style="color: #008080;">to</span> <span style="color: #000000;">N</span> <span style="color: #008080;">by</span> <span style="color: #000000;">n</span> <span style="color: #008080;">do</span>
for j=idx+n to N by n do
<span style="color: #000000;">sieve</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
sieve[j] = 1
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end for
<span style="color: #008080;">return</span> <span style="color: #000000;">p4n3</span>
return p4n3
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
end function
 
<span style="color: #004080;">sequence</span> <span style="color: #000000;">p4n3</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">Sieve4n_3_Primes</span><span style="color: #0000FF;">(),</span>
sequence p4n3 = Sieve4n_3_Primes(),
<span style="color: #000000;">BlumField</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #004600;">false</span><span style="color: #0000FF;">,</span><span style="color: #000000;">LIMIT</span><span style="color: #0000FF;">),</span>
BlumField = repeat(false,LIMIT),
<span style="color: #000000;">Blum50</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{},</span> <span style="color: #000000;">counts</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)</span>
Blum50 = {}, counts = repeat(0,10)
 
<span style="color: #008080;">for</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span> <span style="color: #008080;">in</span> <span style="color: #000000;">p4n3</span> <span style="color: #008080;">do</span>
for idx,n in p4n3 do
<span style="color: #008080;">for</span> <span style="color: #000000;">bj</span> <span style="color: #008080;">in</span> <span style="color: #000000;">p4n3</span> <span style="color: #008080;">from</span> <span style="color: #000000;">idx</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span> <span style="color: #008080;">do</span>
for bj in p4n3 from idx+1 do
<span style="color: #004080;">atom</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">*</span><span style="color: #000000;">bj</span>
atom k = n*bj
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">></span><span style="color: #000000;">LIMIT</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
if k>LIMIT then exit end if
<span style="color: #000000;">BlumField</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true</span>
BlumField[k] = true
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end for
<span style="color: #004080;">integer</span> <span style="color: #000000;">count</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
integer count = 0
<span style="color: #008080;">for</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">k</span> <span style="color: #008080;">in</span> <span style="color: #000000;">BlumField</span> <span style="color: #008080;">do</span>
for n,k in BlumField do
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span> <span style="color: #008080;">then</span>
if k then
<span style="color: #008080;">if</span> <span style="color: #000000;">count</span><span style="color: #0000FF;"><</span><span style="color: #000000;">50</span> <span style="color: #008080;">then</span> <span style="color: #000000;">Blum50</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">n</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
if count<50 then Blum50 &= n end if
<span style="color: #000000;">counts</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)]</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
counts[remainder(n,10)] += 1
<span style="color: #000000;">count</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
count += 1
<span style="color: #008080;">if</span> <span style="color: #000000;">count</span><span style="color: #0000FF;">=</span><span style="color: #000000;">50</span> <span style="color: #008080;">then</span>
if count=50 then
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"First 50 Blum integers:\n%s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">join_by</span><span style="color: #0000FF;">(</span><span style="color: #000000;">Blum50</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" "</span><span style="color: #0000FF;">,</span><span style="color: #000000;">fmt</span><span style="color: #0000FF;">:=</span><span style="color: #008000;">"%3d"</span><span style="color: #0000FF;">)})</span>
printf(1,"First 50 Blum integers:\n%s\n",{join_by(Blum50,1,10," ",fmt:="%3d")})
<span style="color: #008080;">elsif</span> <span style="color: #000000;">count</span><span style="color: #0000FF;">=</span><span style="color: #000000;">26828</span> <span style="color: #008080;">or</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">count</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1e5</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
elsif count=26828 or remainder(count,1e5)=0 then
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"The %,7d%s Blum integer is: %,9d\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">count</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">ord</span><span style="color: #0000FF;">(</span><span style="color: #000000;">count</span><span style="color: #0000FF;">),</span><span style="color: #000000;">n</span><span style="color: #0000FF;">})</span>
printf(1,"The %,7d%s Blum integer is: %,9d\n", {count,ord(count),n})
<span style="color: #008080;">if</span> <span style="color: #000000;">count</span><span style="color: #0000FF;">=</span><span style="color: #000000;">4e5</span> <span style="color: #008080;">then</span> <span style="color: #008080;">exit</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
if count=4e5 then exit end if
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end for
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\nPercentage distribution of the first 400,000 Blum integers:\n"</span><span style="color: #0000FF;">)</span>
printf(1,"\nPercentage distribution of the first 400,000 Blum integers:\n")
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span> <span style="color: #008080;">in</span> <span style="color: #000000;">counts</span> <span style="color: #008080;">do</span>
for i,n in counts do
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span> <span style="color: #008080;">then</span>
if n then
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" %6.3f%% end in %d\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">4000</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">})</span>
printf(1," %6.3f%% end in %d\n", {n/4000, i})
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end for
<!--</syntaxhighlight>-->
</syntaxhighlight>
{{out}}
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