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Successive prime differences: Difference between revisions

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Successive prime differences (view source)

Revision as of 20:27, 8 September 2021

5,576 bytes added ,  2 years ago
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→‎{{header|Phix}}: added syntax colouring
(→‎{{header|Lua}}: added Lua solution)
m (→‎{{header|Phix}}: added syntax colouring)
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=={{header|Phix}}==
<!--<lang Phix>(phixonline)-->
Uses primes[] and add_block() from [[Extensible_prime_generator#Phix|Extensible_prime_generator]]
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<lang Phix>procedure test(sequence differences)
<span style="color: #008080;">constant</span> <span style="color: #000000;">primes</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">get_primes_le</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1_000_000</span><span style="color: #0000FF;">)</span>
sequence res = {}
<span style="color: #008080;">procedure</span> <span style="color: #000000;">test</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">differences</span><span style="color: #0000FF;">)</span>
integer ld = length(differences)
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
for i=1 to length(primes)-ld do
<span style="color: #004080;">integer</span> <span style="color: #000000;">ld</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">differences</span><span style="color: #0000FF;">)</span>
integer pi = primes[i]
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">primes</span><span style="color: #0000FF;">)-</span><span style="color: #000000;">ld</span> <span style="color: #008080;">do</span>
for j=1 to ld do
<span style="color: #004080;">integer</span> <span style="color: #000000;">pi</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">primes</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
pi += differences[j]
<span style="color: #008080;">for</span> <span style="color: #000000;">j</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">ld</span> <span style="color: #008080;">do</span>
if pi!=primes[i+j] then
<span style="color: #000000;">pi</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">differences</span><span style="color: #0000FF;">[</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]</span>
pi = 0
<span style="color: #008080;">if</span> <span style="color: #000000;">pi</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">primes</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">+</span><span style="color: #000000;">j</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
exit
<span style="color: #000000;">pi</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
end if
<span style="color: #008080;">exit</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
if pi!=0 then
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
res = append(res,primes[i..i+ld])
<span style="color: #008080;">if</span> <span style="color: #000000;">pi</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
end if
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">primes</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">..</span><span style="color: #000000;">i</span><span style="color: #0000FF;">+</span><span style="color: #000000;">ld</span><span style="color: #0000FF;">])</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
res = {differences,length(res),res[1],res[$]}
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
printf(1,"%8v : %8d %14v...%v\n",res)
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">differences</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">),</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">],</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[$]}</span>
end procedure
<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;">"%8V : %8d %14V...%V\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">)</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
while primes[$]<1_000_000 do add_block() end while
primes = primes[1..abs(binary_search(1_000_000,primes))-1]
<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;">"Differences Count First Last\n"</span><span style="color: #0000FF;">)</span>
constant differences = {{2},{1},{2,2},{2,4},{4,2},{6,4,2}}
<span style="color: #7060A8;">papply</span><span style="color: #0000FF;">({{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">},{</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">}},</span><span style="color: #000000;">test</span><span style="color: #0000FF;">)</span>
printf(1,"Differences Count First Last\n")
<!--</lang>-->
for i=1 to length(differences) do test(differences[i]) end for</lang>
{{out}}
<pre>
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