Polynomial long division: Difference between revisions
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=={{header|Phix}}==
function degree(sequence p)
for i=length(p) to 1 by -1 do
if p[i]!=0 then return i end if
end for
return -1
end function
function poly_div(sequence n, d)
d = deep_copy(d)
while length(d)<length(n) do d &=0 end while
integer dn = degree(n),
dd = degree(d)
if dd<0 then throw("divide by zero") end if
sequence quo = repeat(0,dn),
rem = deep_copy(n)
while dn>=dd do
integer k = dn-dd, qk = rem[dn]/d[dd]
sequence d2 = d[1..length(d)-k]
quo[k+1] = qk
for i=1 to length(d2) do
integer mi = -i
rem[mi] -= d2[mi]*qk
end for
dn = degree(rem)
end while
return {quo,rem}
end function
function poly(sequence si)
-- display helper
string r = ""
for t=length(si) to 1 by -1 do
integer sit = si[t]
if sit!=0 then
if sit=1 and t>1 then
r &= iff(r=""? "":" + ")
elsif sit=-1 and t>1 then
r &= iff(r=""?"-":" - ")
else
if r!="" then
r &= iff(sit<0?" - ":" + ")
sit = abs(sit)
end if
r &= sprintf("%d",sit)
end if
r
end if
end for
if r="" then r="0" end if
return r
end function
constant tests = {{{-42,0,-12,1},{-3,1}},
{{-3,1},{-42,0,-12,1}},
{{-42,0,-12,1},{-3,1,1}},
{{2,3,1},{1,1}},
{{3,5,6,-4,1},{1,2,1}},
{{3,0,7,0,0,0,0,0,3,0,0,1},{1,0,0,5,0,0,0,1}},
{{-56,87,-94,-55,22,-7},{2,0,1}},
}
constant fmt = "%40s / %-16s = %25s rem %s\n"
for i=1 to length(tests) do
sequence {num,den} = tests[i],
{quo,rem} = poly_div(num,den)
printf(1,fmt,apply({num,den,quo,rem},poly))
end for
</syntaxhighlight>
{{out}}
<pre>
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