Factorial: Difference between revisions
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=={{header|Phix}}== |
=={{header|Phix}}== |
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{{libheader|Phix/basics}} |
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standard iterative factorial builtin, reproduced below. returns inf for 171 and above, and is not accurate above 22 on 32-bit, or 25 on 64-bit. |
standard iterative factorial builtin, reproduced below. returns inf for 171 and above, and is not accurate above 22 on 32-bit, or 25 on 64-bit. |
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<lang Phix> |
<!--<lang Phix>--> |
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<span style="color: #008080;">global</span> <span style="color: #008080;">function</span> <span style="color: #000000;">factorial<span style="color: #0000FF;">(<span style="color: #004080;">integer</span> <span style="color: #000000;">n<span style="color: #0000FF;">)</span> |
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atom res = 1 |
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<span style="color: #004080;">atom</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span> |
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while n>1 do |
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<span style="color: #008080;">while</span> <span style="color: #000000;">n<span style="color: #0000FF;">><span style="color: #000000;">1</span> <span style="color: #008080;">do</span> |
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res *= n |
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">*=</span> <span style="color: #000000;">n</span> |
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n -= 1 |
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<span style="color: #000000;">n</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">1</span> |
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end while |
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span> |
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return res |
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<span style="color: #008080;">return</span> <span style="color: #000000;">res</span> |
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end function</lang> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function |
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<!--</lang>--> |
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=== gmp === |
=== gmp === |
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{{libheader|Phix/mpfr}} |
{{libheader|Phix/mpfr}} |
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For seriously big numbers, with perfect accuracy, use the mpz_fac_ui() routine. For a bit of fun, we'll see just how far we can push it. |
For seriously big numbers, with perfect accuracy, use the mpz_fac_ui() routine. For a bit of fun, we'll see just how far we can push it, in ten seconds or less. |
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<lang Phix> |
<!--<lang Phix>--> |
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<span style="color: #008080;">include</span> <span style="color: #000000;">mpfr<span style="color: #0000FF;">.<span style="color: #000000;">e</span> |
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mpz f = mpz_init() |
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<span style="color: #7060A8;">mpz</span> <span style="color: #000000;">f</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span> |
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integer n = 2 |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">2</span> |
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bool still_running = true, |
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<span style="color: #004080;">bool</span> <span style="color: #000000;">still_running</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true<span style="color: #0000FF;">,</span> |
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still_printing = true |
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<span style="color: #000000;">still_printing</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">true</span> |
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while still_running do |
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<span style="color: #008080;">while</span> <span style="color: #000000;">still_running</span> <span style="color: #008080;">do</span> |
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atom t0 = time() |
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<span style="color: #004080;">atom</span> <span style="color: #000000;">t0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span> |
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mpz_fac_ui(f, n) |
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<span style="color: #7060A8;">mpz_fac_ui<span style="color: #0000FF;">(<span style="color: #000000;">f<span style="color: #0000FF;">,</span> <span style="color: #000000;">n<span style="color: #0000FF;">)</span> |
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still_running = (time()-t0)<10 -- (stop once over 10s) |
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<span style="color: #000000;">still_running</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(<span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">-<span style="color: #000000;">t0<span style="color: #0000FF;">)<span style="color: #0000FF;"><<span style="color: #000000;">10</span> <span style="color: #000080;font-style:italic;">-- (stop once over 10s)</span> |
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string ct = elapsed(time()-t0), res, what, pt |
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<span style="color: #004080;">string</span> <span style="color: #000000;">ct</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">elapsed<span style="color: #0000FF;">(<span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">-<span style="color: #000000;">t0<span style="color: #0000FF;">)<span style="color: #0000FF;">,</span> <span style="color: #000000;">res<span style="color: #0000FF;">,</span> <span style="color: #000000;">what<span style="color: #0000FF;">,</span> <span style="color: #000000;">pt</span> |
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t0 = time() |
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<span style="color: #000000;">t0</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)</span> |
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if still_printing then |
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<span style="color: #008080;">if</span> <span style="color: #000000;">still_printing</span> <span style="color: #008080;">then</span> |
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res = shorten(mpz_get_str(f)) |
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">shorten<span style="color: #0000FF;">(<span style="color: #7060A8;">mpz_get_str<span style="color: #0000FF;">(<span style="color: #000000;">f<span style="color: #0000FF;">)<span style="color: #0000FF;">)</span> |
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what = "printed" |
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<span style="color: #000000;">what</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"printed"</span> |
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still_printing = (time()-t0)<10 -- (stop once over 10s) |
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<span style="color: #000000;">still_printing</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">(<span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">-<span style="color: #000000;">t0<span style="color: #0000FF;">)<span style="color: #0000FF;"><<span style="color: #000000;">10</span> <span style="color: #000080;font-style:italic;">-- (stop once over 10s)</span> |
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else |
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<span style="color: #008080;">else</span> |
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res = sprintf("%,d digits",mpz_sizeinbase(f,10)) |
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<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">sprintf<span style="color: #0000FF;">(<span style="color: #008000;">"%,d digits"<span style="color: #0000FF;">,<span style="color: #7060A8;">mpz_sizeinbase<span style="color: #0000FF;">(<span style="color: #000000;">f<span style="color: #0000FF;">,<span style="color: #000000;">10<span style="color: #0000FF;">)<span style="color: #0000FF;">)</span> |
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what = "size in base" |
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<span style="color: #000000;">what</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">"size in base"</span> |
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end if |
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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pt = elapsed(time()-t0) |
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<span style="color: #000000;">pt</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">elapsed<span style="color: #0000FF;">(<span style="color: #7060A8;">time<span style="color: #0000FF;">(<span style="color: #0000FF;">)<span style="color: #0000FF;">-<span style="color: #000000;">t0<span style="color: #0000FF;">)</span> |
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printf(1,"factorial(%d):%s, calculated in %s, %s in %s\n", |
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<span style="color: #7060A8;">printf<span style="color: #0000FF;">(<span style="color: #000000;">1<span style="color: #0000FF;">,<span style="color: #008000;">"factorial(%d):%s, calculated in %s, %s in %s\n"<span style="color: #0000FF;">,</span> |
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{n,res,ct,what,pt}) |
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<span style="color: #0000FF;">{<span style="color: #000000;">n<span style="color: #0000FF;">,<span style="color: #000000;">res<span style="color: #0000FF;">,<span style="color: #000000;">ct<span style="color: #0000FF;">,<span style="color: #000000;">what<span style="color: #0000FF;">,<span style="color: #000000;">pt<span style="color: #0000FF;">}<span style="color: #0000FF;">)</span> |
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n *= 2 |
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<span style="color: #000000;">n</span> <span style="color: #0000FF;">*=</span> <span style="color: #000000;">2</span> |
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end while</lang> |
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<span style="color: #008080;">end</span> <span style="color: #008080;">while |
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<!--</lang>--> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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