Fractran: Difference between revisions

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m
→‎{{header|Phix}}: added syntax colouring, marked p2js compatible, with timing disclaimer
(add fermat)
m (→‎{{header|Phix}}: added syntax colouring, marked p2js compatible, with timing disclaimer)
Line 3,144:
Division (to whole integer) is performed simply by subtracting the corresponding powers, as above not possible if any would be negative.
 
<!--<lang Phix>constant steps = 20,(phixonline)-->
<span style="color: #008080;">without</span> <span style="color: #008080;">js</span> <span style="color: #000080;font-style:italic;">-- 8s
primes = 45
--with javascript_semantics -- 52s!! (see note)</span>
 
<span style="color: #008080;">constant</span> <span style="color: #000000;">steps</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">20</span><span style="color: #0000FF;">,</span>
sequence known_factors = {} -- nb: no specific order
<span style="color: #000000;">primes</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">45</span>
 
function combine_factors(sequence n)
<span style="color: #004080;">sequence</span> <span style="color: #000000;">known_factors</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span> <span style="color: #000080;font-style:italic;">-- nb: no specific order</span>
-- (inverse of as_primes)
atom res = 1
<span style="color: #008080;">function</span> <span style="color: #000000;">combine_factors</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
for i=1 to length(n) do
<span style="color: #000080;font-style:italic;">-- (inverse of as_primes)</span>
if n[i]!=0 then
<span style="color: #004080;">atom</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
res *= power(known_factors[i],n[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;">n</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
end if
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
end for
<span style="color: #000000;">res</span> <span style="color: #0000FF;">*=</span> <span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">known_factors</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #000000;">n</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">])</span>
return res
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end function
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
 
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
function as_primes(integer n)
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
-- eg as_primes(55) -> {5,11} -> indexes to known_factors
if n=1 then return {} end if
<span style="color: #008080;">function</span> <span style="color: #000000;">as_primes</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
sequence pf = prime_factors(n,duplicates:=true)
<span style="color: #000080;font-style:italic;">-- eg as_primes(55) -&gt; {5,11} -&gt; indexes to known_factors</span>
sequence res = repeat(0,length(known_factors))
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #008080;">return</span> <span style="color: #0000FF;">{}</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
for i=1 to length(pf) do
<span style="color: #004080;">sequence</span> <span style="color: #000000;">pf</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">prime_factors</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">duplicates</span><span style="color: #0000FF;">:=</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)</span>
integer k = find(pf[i],known_factors)
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</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: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">known_factors</span><span style="color: #0000FF;">))</span>
if k=0 then
<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;">pf</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
known_factors = append(known_factors,pf[i])
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #000000;">known_factors</span><span style="color: #0000FF;">)</span>
res = append(res,1)
<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
else
<span style="color: #000000;">known_factors</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">known_factors</span><span style="color: #0000FF;">,</span><span style="color: #000000;">pf</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">])</span>
res[k] += 1
<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;">1</span><span style="color: #0000FF;">)</span>
end if
<span style="color: #008080;">else</span>
end for
<span style="color: #000000;">res</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: #000000;">1</span>
-- atom chk = combine_factors(res)
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
-- if chk!=n then ?9/0 end if
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
return res
<span style="color: #000080;font-style:italic;">-- atom chk = combine_factors(res)
end function
-- if chk!=n then ?9/0 end if</span>
 
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
function parse(string s)
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
sequence res = split(s)
for i=1 to length(res) do
<span style="color: #008080;">function</span> <span style="color: #000000;">parse</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
sequence sri = scanf(res[i],"%d/%d")
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
if length(sri)!=1 then ?9/0 end if -- oops!
<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;">res</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
integer {{n,d}} = sri
<span style="color: #004080;">sequence</span> <span style="color: #000000;">sri</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">scanf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">],</span><span style="color: #008000;">"%d/%d"</span><span style="color: #0000FF;">)</span>
res[i] = {as_primes(n),as_primes(d)}
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">sri</span><span style="color: #0000FF;">)!=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span> <span style="color: #0000FF;">?</span><span style="color: #000000;">9</span><span style="color: #0000FF;">/</span><span style="color: #000000;">0</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> <span style="color: #000080;font-style:italic;">-- oops!</span>
end for
<span style="color: #004080;">integer</span> <span style="color: #0000FF;">{{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #000000;">d</span><span style="color: #0000FF;">}}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">sri</span>
return res
<span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">as_primes</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">),</span><span style="color: #000000;">as_primes</span><span style="color: #0000FF;">(</span><span style="color: #000000;">d</span><span style="color: #0000FF;">)}</span>
end function
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
 
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
function step(sequence pgm, sequence n)
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
for pc=1 to length(pgm) do
sequence d = pgm[pc][2], res = n
<span style="color: #008080;">function</span> <span style="color: #000000;">step</span><span style="color: #0000FF;">(</span><span style="color: #004080;">sequence</span> <span style="color: #000000;">pgm</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">sequence</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
bool ok = true
<span style="color: #008080;">for</span> <span style="color: #000000;">pc</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;">pgm</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
for f=1 to length(d) do
<span style="color: #004080;">sequence</span> <span style="color: #000000;">d</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">pgm</span><span style="color: #0000FF;">[</span><span style="color: #000000;">pc</span><span style="color: #0000FF;">][</span><span style="color: #000000;">2</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span>
if d[f]!=0 then
<span style="color: #000080;font-style:italic;">-- sequence d = pgm[pc][2], res = deep_copy(n) -- (see timing note)</span>
if f>length(n) or d[f]>res[f] then
<span style="color: #004080;">bool</span> <span style="color: #000000;">ok</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true</span>
ok = false
<span style="color: #008080;">for</span> <span style="color: #000000;">f</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;">d</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
exit
<span style="color: #004080;">integer</span> <span style="color: #000000;">df</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">d</span><span style="color: #0000FF;">[</span><span style="color: #000000;">f</span><span style="color: #0000FF;">]</span>
end if
<span style="color: #008080;">if</span> <span style="color: #000000;">df</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
res[f] -= d[f]
<span style="color: #008080;">if</span> <span style="color: #000000;">f</span><span style="color: #0000FF;">></span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">or</span> <span style="color: #000000;">df</span><span style="color: #0000FF;">></span><span style="color: #000000;">n</span><span style="color: #0000FF;">[</span><span style="color: #000000;">f</span><span style="color: #0000FF;">]</span> <span style="color: #008080;">then</span>
end if
<span style="color: #000000;">ok</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span>
end for
<span style="color: #008080;">exit</span>
if ok then
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
n = pgm[pc][1]
<span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">f</span><span style="color: #0000FF;">]</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">df</span>
integer pad = length(n)-length(res)
if pad>0<span then res &style="color: repeat(0,pad) #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
for i=1 to length(n) do
<span style="color: #008080;">if</span> <span style="color: #000000;">ok</span> <span style="color: #008080;">then</span>
res[i] += n[i]
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">pgm</span><span style="color: #0000FF;">[</span><span style="color: #000000;">pc</span><span style="color: #0000FF;">][</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span>
end for
<span style="color: #004080;">integer</span> <span style="color: #000000;">zf</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</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>
return res
<span style="color: #008080;">if</span> <span style="color: #000000;">zf</span><span style="color: #0000FF;">></span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span> <span style="color: #000000;">res</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;">zf</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
end if
<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;">n</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
end for
<span style="color: #000000;">res</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</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;">i</span><span style="color: #0000FF;">]</span>
return 0
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
end function
<span style="color: #008080;">return</span> <span style="color: #000000;">res</span>
 
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
constant src = "17/91 78/85 19/51 23/38 29/33 77/29 95/23 77/19 1/17 11/13 13/11 15/14 15/2 55/1"
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
sequence pgm = parse(src)
<span style="color: #008080;">return</span> <span style="color: #000000;">0</span>
object n = as_primes(2)
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
sequence res = {}
for i=1 to steps do
<span style="color: #008080;">constant</span> <span style="color: #000000;">src</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"17/91 78/85 19/51 23/38 29/33 77/29 95/23 77/19 1/17 11/13 13/11 15/14 15/2 55/1"</span>
n = step(pgm,n)
<span style="color: #004080;">sequence</span> <span style="color: #000000;">pgm</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">parse</span><span style="color: #0000FF;">(</span><span style="color: #000000;">src</span><span style="color: #0000FF;">)</span>
if n=0 then exit end if
<span style="color: #004080;">object</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">as_primes</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span>
res = append(res,combine_factors(n))
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
end for
<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: #000000;">steps</span> <span style="color: #008080;">do</span>
printf(1,"first %d results: %s\n",{steps,sprint(res)})
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">step</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pgm</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
 
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</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>
n = as_primes(2)
<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;">combine_factors</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">))</span>
integer k2 = find(2,known_factors)
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
sequence n0 = repeat(0,length(known_factors))
<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 %d results: %v\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">steps</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">})</span>
res = {}
integer iteration = 1
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">as_primes</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span>
atom t0 = time()
<span style="color: #004080;">integer</span> <span style="color: #000000;">k2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">known_factors</span><span style="color: #0000FF;">)</span>
while length(res)<primes do
<span style="color: #004080;">sequence</span> <span style="color: #000000;">n0</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: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">known_factors</span><span style="color: #0000FF;">))</span>
n = step(pgm,n)
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
if n=0 then exit end if
<span style="color: #004080;">integer</span> <span style="color: #000000;">iteration</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span>
n0[k2] = n[k2]
<span style="color: #004080;">atom</span> <span style="color: #000000;">t0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time</span><span style="color: #0000FF;">()</span>
if n=n0 then -- (ie all non-2 are 0)
<span style="color: #008080;">while</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;">primes</span> <span style="color: #008080;">do</span>
-- and the prime itself is ready and waiting...
<span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">step</span><span style="color: #0000FF;">(</span><span style="color: #000000;">pgm</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
res = append(res,n[k2])
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</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>
end if
<span style="color: #000000;">n0</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k2</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;">k2</span><span style="color: #0000FF;">]</span>
iteration += 1
<span style="color: #008080;">if</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">=</span><span style="color: #000000;">n0</span> <span style="color: #008080;">then</span> <span style="color: #000080;font-style:italic;">-- (ie all non-2 are 0)
end while
-- and the prime itself is ready and waiting...</span>
printf(1,"first %d primes: %s\n",{primes,sprint(res)})
<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;">n</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k2</span><span style="color: #0000FF;">])</span>
printf(1,"%,d iterations in %s\n",{iteration,elapsed(time()-t0)})
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
--?get_primes(-primes)</lang>
<span style="color: #000000;">iteration</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<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 %d primes: %v\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">primes</span><span style="color: #0000FF;">,</span><span style="color: #000000;">res</span><span style="color: #0000FF;">})</span>
<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;">"%,d iterations in %s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">iteration</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">elapsed</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">time</span><span style="color: #0000FF;">()-</span><span style="color: #000000;">t0</span><span style="color: #0000FF;">)})</span>
<!--</lang>-->
{{out}}
<pre>
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</pre>
For comparison with that 8.4s, I've collected Python: 386s, REXX: 60s for 25 (on tio, then it timed out), Ruby: 187s, Go: 1736s(!!), Julia 616s, FreeBasic 11.7s<br>
(Clearly the algorithms being used are way more significant than any inherent programming language differences here.)<br>
Update 17/01/2022: Also note that 8.4s is for desktop/Phix, without js. Adding with js and the required deep_copy() makes it about 6.5 times slower, though it actually fares somewhat better(/less awful) in a browser (30s vs 50s). Clearly the current hll implementation of deep_copy(), as first shipped in July 2021, is nowhere near as efficient as the older low-level "clone that must be avoided", at least not yet.
 
=={{header|Prolog}}==
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