Data commit

Task/Euler-method/D/euler-method.d

@@ -0,0 +1,22 @@
+import std.stdio, std.range, std.traits;
+
+/// Approximates y(t) in y'(t)=f(t,y) with y(a)=y0 and t=a..b and the step size h.
+void euler(F)(in F f, in double y0, in double a, in double b, in double h) @safe
+if (isCallable!F && __traits(compiles, { real r = f(0.0, 0.0); })) {
+    double y = y0;
+    foreach (immutable t; iota(a, b, h)) {
+        writefln("%.3f  %.3f", t, y);
+        y += h * f(t, y);
+    }
+    "done".writeln;
+}
+
+void main() {
+    /// Example: Newton's cooling law.
+    enum newtonCoolingLaw = (in double time, in double t)
+        pure nothrow @safe @nogc => -0.07 * (t - 20);
+
+    euler(newtonCoolingLaw, 100, 0, 100,  2);
+    euler(newtonCoolingLaw, 100, 0, 100,  5);
+    euler(newtonCoolingLaw, 100, 0, 100, 10);
+}