Euler method: Difference between revisions
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(→{{header|Wren}}: Now uses new core library method.) |
m (→{{header|Phix}}: added syntax colouring, marked p2js compatible) |
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=={{header|Phix}}== |
=={{header|Phix}}== |
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{{Trans|C}} |
{{Trans|C}} |
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<lang Phix> |
<!--<lang Phix>(phixonline)--> |
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<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span> |
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<span style="color: #008080;">constant</span> <span style="color: #000000;">FMT</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">" %7.3f"</span> |
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procedure ivp_euler(integer f, atom y, integer step, integer end_t) |
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integer t = 0; |
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<span style="color: #008080;">procedure</span> <span style="color: #000000;">ivp_euler</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000000;">y</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">f</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">step</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">end_t</span><span style="color: #0000FF;">)</span> |
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<span style="color: #004080;">integer</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> |
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printf(1, " Step %2d: ", step); |
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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;">" Step %2d: "</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">step</span><span style="color: #0000FF;">)</span> |
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while t<=end_t do |
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<span style="color: #008080;">while</span> <span style="color: #000000;">t</span><span style="color: #0000FF;"><=</span><span style="color: #000000;">end_t</span> <span style="color: #008080;">do</span> |
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if remainder(t,10)==0 then printf(1, FMT, y) end if |
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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;">t</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: #008080;">then</span> <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: #000000;">FMT</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">y</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">if</span> |
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y += step * call_func(f,{t, y}); |
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<span style="color: #000000;">y</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">step</span> <span style="color: #0000FF;">*</span> <span style="color: #7060A8;">call_func</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f</span><span style="color: #0000FF;">,{</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">y</span><span style="color: #0000FF;">})</span> |
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t += step |
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<span style="color: #000000;">t</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">step</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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printf(1, "\n"); |
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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;">"\n"</span><span style="color: #0000FF;">)</span> |
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end procedure |
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<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span> |
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procedure analytic() |
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<span style="color: #008080;">procedure</span> <span style="color: #000000;">analytic</span><span style="color: #0000FF;">()</span> |
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printf(1, " Time: "); |
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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;">" Time: "</span><span style="color: #0000FF;">)</span> |
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for t = 0 to 100 by 10 do printf(1," %7g", t) end for |
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<span style="color: #008080;">for</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">100</span> <span style="color: #008080;">by</span> <span style="color: #000000;">10</span> <span style="color: #008080;">do</span> <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;">" %7g"</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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printf(1, "\nAnalytic: "); |
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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;">"\nAnalytic: "</span><span style="color: #0000FF;">)</span> |
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for t = 0 to 100 by 10 do |
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<span style="color: #008080;">for</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span> <span style="color: #008080;">to</span> <span style="color: #000000;">100</span> <span style="color: #008080;">by</span> <span style="color: #000000;">10</span> <span style="color: #008080;">do</span> |
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printf(1, FMT, 20 + 80 * exp(-0.07 * t)) |
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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: #000000;">FMT</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">20</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">80</span> <span style="color: #0000FF;">*</span> <span style="color: #7060A8;">exp</span><span style="color: #0000FF;">(-</span><span style="color: #000000;">0.07</span> <span style="color: #0000FF;">*</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">))</span> |
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end for |
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<span style="color: #008080;">end</span> <span style="color: #008080;">for</span> |
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printf(1,"\n"); |
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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;">"\n"</span><span style="color: #0000FF;">);</span> |
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end procedure |
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<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span> |
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function cooling(atom /*t*/, atom temp) |
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<span style="color: #008080;">function</span> <span style="color: #000000;">cooling</span><span style="color: #0000FF;">(</span><span style="color: #004080;">atom</span> <span style="color: #000080;font-style:italic;">/*t*/</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">temp</span><span style="color: #0000FF;">)</span> |
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return -0.07 * (temp - 20); |
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<span style="color: #008080;">return</span> <span style="color: #0000FF;">-</span><span style="color: #000000;">0.07</span> <span style="color: #0000FF;">*</span> <span style="color: #0000FF;">(</span><span style="color: #000000;">temp</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">20</span><span style="color: #0000FF;">)</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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constant r_cooling = routine_id("cooling") |
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<span style="color: #000000;">analytic</span><span style="color: #0000FF;">()</span> |
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analytic(); |
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<span style="color: #000000;">ivp_euler</span><span style="color: #0000FF;">(</span><span style="color: #000000;">100</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cooling</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">100</span><span style="color: #0000FF;">)</span> |
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ivp_euler(r_cooling, 100, 2, 100); |
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<span style="color: #000000;">ivp_euler</span><span style="color: #0000FF;">(</span><span style="color: #000000;">100</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cooling</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">100</span><span style="color: #0000FF;">)</span> |
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ivp_euler(r_cooling, 100, 5, 100); |
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<span style="color: #000000;">ivp_euler</span><span style="color: #0000FF;">(</span><span style="color: #000000;">100</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">cooling</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">10</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">100</span><span style="color: #0000FF;">)</span> |
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ivp_euler(r_cooling, 100, 10, 100);</lang> |
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<!--</lang>--> |
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{{out}} |
{{out}} |
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<pre> |
<pre> |