Data update
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Ingy döt Net
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7735 changed files with 38060 additions and 199180 deletions
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-->
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<span style="color: #008080;">global</span> <span style="color: #008080;">function</span> <span style="color: #7060A8;">factors</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">include1</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
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<span style="color: #000080;font-style:italic;">--
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-- returns a list of all integer factors of n
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-- if include1 is 0 (the default), result does not contain either 1 or n
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-- if include1 is 1 the result contains 1 and n
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-- if include1 is -1 the result contains 1 but not n
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-- </span>
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<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;">return</span> <span style="color: #0000FF;">{}</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #000000;">check_limits</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"factors"</span><span style="color: #0000FF;">)</span>
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">lfactors</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{},</span> <span style="color: #000000;">hfactors</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
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<span style="color: #004080;">atom</span> <span style="color: #000000;">hfactor</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">p</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">,</span>
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<span style="color: #000000;">lim</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sqrt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">))</span>
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global function factors(atom n, integer include1=0)
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--
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-- returns a list of all integer factors of n
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-- if include1 is 0 (the default), result does not contain either 1 or n
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-- if include1 is 1 the result contains 1 and n
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-- if include1 is -1 the result contains 1 but not n
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--
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if n=0 then return {} end if
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check_limits(n,"factors")
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sequence lfactors = {}, hfactors = {}
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atom hfactor
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integer p = 2,
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lim = floor(sqrt(n))
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<span style="color: #008080;">if</span> <span style="color: #000000;">include1</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">lfactors</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">}</span>
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<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;">and</span> <span style="color: #000000;">include1</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">hfactors</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">}</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">while</span> <span style="color: #000000;">p</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">lim</span> <span style="color: #008080;">do</span>
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<span style="color: #008080;">if</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;">p</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">lfactors</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">lfactors</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p</span><span style="color: #0000FF;">)</span>
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<span style="color: #000000;">hfactor</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">/</span><span style="color: #000000;">p</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">hfactor</span><span style="color: #0000FF;">=</span><span style="color: #000000;">p</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>
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<span style="color: #000000;">hfactors</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">prepend</span><span style="color: #0000FF;">(</span><span style="color: #000000;">hfactors</span><span style="color: #0000FF;">,</span><span style="color: #000000;">hfactor</span><span style="color: #0000FF;">)</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #000000;">p</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">1</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
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<span style="color: #008080;">return</span> <span style="color: #000000;">lfactors</span> <span style="color: #0000FF;">&</span> <span style="color: #000000;">hfactors</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
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<!--
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if include1!=0 then
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lfactors = {1}
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if n!=1 and include1=1 then
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hfactors = {n}
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end if
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end if
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while p<=lim do
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if remainder(n,p)=0 then
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lfactors = append(lfactors,p)
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hfactor = n/p
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if hfactor=p then exit end if
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hfactors = prepend(hfactors,hfactor)
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end if
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p += 1
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end while
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return lfactors & hfactors
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end function
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@ -1,20 +1,18 @@
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(phixonline)-->
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<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">10</span> <span style="color: #008080;">do</span>
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<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: %v\n"</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">factors</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)})</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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for i=0 to 10 do
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printf(1,"%d: %v\n",{i,factors(i,-1)})
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end for
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<span style="color: #004080;">sequence</span> <span style="color: #000000;">candidates</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">maxd</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
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<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;">20000</span> <span style="color: #008080;">do</span>
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<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">factors</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">))</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">>=</span><span style="color: #000000;">maxd</span> <span style="color: #008080;">then</span>
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<span style="color: #008080;">if</span> <span style="color: #000000;">k</span><span style="color: #0000FF;">=</span><span style="color: #000000;">maxd</span> <span style="color: #008080;">then</span>
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<span style="color: #000000;">candidates</span> <span style="color: #0000FF;">&=</span> <span style="color: #000000;">i</span>
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<span style="color: #008080;">else</span>
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<span style="color: #000000;">candidates</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">i</span><span style="color: #0000FF;">}</span>
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<span style="color: #000000;">maxd</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">k</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
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<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 divisors: %v\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">maxd</span><span style="color: #0000FF;">,</span><span style="color: #000000;">candidates</span><span style="color: #0000FF;">})</span>
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<!--
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sequence candidates = {}
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integer maxd = 0
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for i=1 to 20000 do
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integer k = length(factors(i,-1))
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if k>=maxd then
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if k=maxd then
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candidates &= i
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else
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candidates = {i}
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maxd = k
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end if
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end if
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end for
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printf(1,"%d divisors: %v\n", {maxd,candidates})
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