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Greatest common divisor: Difference between revisions

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Greatest common divisor (view source)

Revision as of 15:40, 20 April 2021

9,322 bytes added ,  3 years ago
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→‎{{header|Phix}}: added syntax colouring the hard way
m (→‎{{header|Phix}}: added syntax colouring the hard way)
Line 3,449:
atom parameters allow greater precision, but any fractional parts are immediately and deliberately discarded.<br>
Actually, it is an autoinclude, reproduced below. The first parameter can be a sequence, in which case the second parameter (if provided) is ignored.
<!--<lang Phix>function gcd(object u, atom v=0)-->
<span style="color: #008080;">function</span> <span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #004080;">object</span> <span style="color: #000000;">u</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">=</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
atom t
<span style="color: #004080;">atom</span> <span style="color: #000000;">t</span>
if sequence(u) then
<span style="color: #008080;">if</span> <span style="color: #004080;">sequence</span><span style="color: #0000FF;">(</span><span style="color: #000000;">u</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">then</span>
v = u[1] -- (for the typecheck)
<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">u</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">]</span> <span style="color: #000080;font-style:italic;">-- (for the typecheck)</span>
t = floor(abs(v))
<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">))</span>
for i=2 to length(u) do
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">u</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
v = u[i] -- (for the typecheck)
<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">u</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span> <span style="color: #000080;font-style:italic;">-- (for the typecheck)</span>
t = gcd(t,v)
<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">v</span><span style="color: #0000FF;">)</span>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
return t
<span style="color: #008080;">return</span> <span style="color: #000000;">t</span>
end if
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
u = floor(abs(u))
<span style="color: #000000;">u</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">u</span><span style="color: #0000FF;">))</span>
v = floor(abs(v))
<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">v</span><span style="color: #0000FF;">))</span>
while v do
<span style="color: #008080;">while</span> <span style="color: #000000;">v</span> <span style="color: #008080;">do</span>
t = u
<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">u</span>
u = v
<span style="color: #000000;">u</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">v</span>
v = remainder(t, v)
<span style="color: #000000;">v</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">remainder</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">v</span><span style="color: #0000FF;">)</span>
end while
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
return u
<span style="color: #008080;">return</span> <span style="color: #000000;">u</span>
end function</lang>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
<!--</lang>-->
Sample results
<!--<lang Phix>(phixonline)-->
<pre>
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 0</span>
gcd(0,0) -- 0
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">24</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">112</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 8</span>
gcd(24,-112) -- 8
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">10</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 10</span>
gcd(0, 10) -- 10
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 10</span>
gcd(10, 0) -- 10
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">10</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">0</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 10</span>
gcd(-10, 0) -- 10
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">10</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 10</span>
gcd(0, -10) -- 10
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span>
gcd(9, 6) -- 3
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span>
gcd(6, 9) -- 3
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">9</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span>
gcd(-6, 9) -- 3
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">6</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span>
gcd(9, -6) -- 3
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">6</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">9</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span>
gcd(6, -9) -- 3
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">6</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 3</span>
gcd(-9, 6) -- 3
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">40902</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">24140</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- 34 </span>
gcd(40902, 24140) -- 34
<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\n"</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">(</span><span style="color: #000000;">70000000000000000000</span><span style="color: #0000FF;">,</span>
gcd(70000000000000000000,
<span style="color: #000000;">60000000000000000000000</span><span style="color: #0000FF;">))</span>
<span style="color: #000080;font-style:italic;">-- 10000000000000000000</span>
<span style="color: #0000FF;">?</span><span style="color: #7060A8;">gcd</span><span style="color: #0000FF;">({</span><span style="color: #000000;">57</span><span style="color: #0000FF;">,</span><span style="color: #000000;">0</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">45</span><span style="color: #0000FF;">,-</span><span style="color: #000000;">18</span><span style="color: #0000FF;">,</span><span style="color: #000000;">90</span><span style="color: #0000FF;">,</span><span style="color: #000000;">447</span><span style="color: #0000FF;">})</span> <span style="color: #000080;font-style:italic;">-- 3</span>
gcd({57,0,-45,-18,90,447}) -- 3
<!--</prelang>-->
 
=={{header|PHP}}==
Petelomax
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