Arithmetic-geometric mean: Difference between revisions
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m (→{{header|Phix}}: added syntax colouring the hard way) |
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=={{header|Phix}}== |
=={{header|Phix}}== |
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<!--<lang Phix>(phixonline)--> |
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<lang Phix>function agm(atom a, atom g, atom tolerance=1.0e-15) |
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<span style="color: #008080;">function</span> <span style="color: #000000;">agm</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">g</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">atom</span> <span style="color: #000000;">tolerance</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1.0e-15</span><span style="color: #0000FF;">)</span> |
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while abs(a-g)>tolerance do |
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<span style="color: #008080;">while</span> <span style="color: #7060A8;">abs</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a</span><span style="color: #0000FF;">-</span><span style="color: #000000;">g</span><span style="color: #0000FF;">)></span><span style="color: #000000;">tolerance</span> <span style="color: #008080;">do</span> |
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{a,g} = {(a + g)/2,sqrt(a*g)} |
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<span style="color: #0000FF;">{</span><span style="color: #000000;">a</span><span style="color: #0000FF;">,</span><span style="color: #000000;">g</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{(</span><span style="color: #000000;">a</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">g</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">sqrt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a</span><span style="color: #0000FF;">*</span><span style="color: #000000;">g</span><span style="color: #0000FF;">)}</span> |
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printf(1,"%0.15g\n",a) |
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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;">"%0.15g\n"</span><span style="color: #0000FF;">,</span><span style="color: #000000;">a</span><span style="color: #0000FF;">)</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 a |
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<span style="color: #008080;">return</span> <span style="color: #000000;">a</span> |
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end function |
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<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
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?agm(1,1/sqrt(2)) -- (rounds to 10 d.p.)</lang> |
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<span style="color: #0000FF;">?</span><span style="color: #000000;">agm</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">/</span><span style="color: #7060A8;">sqrt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">))</span> <span style="color: #000080;font-style:italic;">-- (rounds to 10 d.p.)</span> |
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<!--</lang>--> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |
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