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Euler method (view source)

Revision as of 05:41, 14 January 2022

7,426 bytes added ,  2 years ago
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→‎{{header|Phix}}: added syntax colouring, marked p2js compatible
(→‎{{header|Wren}}: Now uses new core library method.)
m (→‎{{header|Phix}}: added syntax colouring, marked p2js compatible)
Line 2,267:
=={{header|Phix}}==
{{Trans|C}}
<!--<lang Phix>constant FMT = " %7.3f"(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">FMT</span> <span style="color: #0000FF;">=</span> <span style="color: #008000;">" %7.3f"</span>
procedure ivp_euler(integer f, atom y, integer step, integer end_t)
integer t = 0;
<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>
 
<span style="color: #004080;">integer</span> <span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">0</span>
printf(1, " Step %2d: ", step);
<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>
while t<=end_t do
<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>
if remainder(t,10)==0 then printf(1, FMT, y) end if
<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>
y += step * call_func(f,{t, y});
<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>
t += step
<span style="color: #000000;">t</span> <span style="color: #0000FF;">+=</span> <span style="color: #000000;">step</span>
end while
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
printf(1, "\n");
<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>
end procedure
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
procedure analytic()
<span style="color: #008080;">procedure</span> <span style="color: #000000;">analytic</span><span style="color: #0000FF;">()</span>
printf(1, " Time: ");
<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>
for t = 0 to 100 by 10 do printf(1," %7g", t) end for
<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>
printf(1, "\nAnalytic: ");
<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>
for t = 0 to 100 by 10 do
<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>
printf(1, FMT, 20 + 80 * exp(-0.07 * t))
<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>
end for
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
printf(1,"\n");
<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>
end procedure
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
function cooling(atom /*t*/, atom temp)
<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>
return -0.07 * (temp - 20);
<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>
end function
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
constant r_cooling = routine_id("cooling")
<span style="color: #000000;">analytic</span><span style="color: #0000FF;">()</span>
analytic();
<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>
ivp_euler(r_cooling, 100, 2, 100);
<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>
ivp_euler(r_cooling, 100, 5, 100);
<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>
ivp_euler(r_cooling, 100, 10, 100);</lang>
<!--</lang>-->
{{out}}
<pre>
Petelomax
7,820

edits

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