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authorGloria Mundi <gloria@gloria-mundi.eu>2024-11-16 01:24:14 +0100
committerGloria Mundi <gloria@gloria-mundi.eu>2024-11-16 01:24:14 +0100
commit98567ec798aa8ca2cfbcb85c774dd470f30e30d4 (patch)
tree5113d5cc24d1ad5f93810b6442ce584a36950dc8 /content/math/simpson.cpp
parentad3856a6b766087df0036de0b556f4700a6498c9 (diff)
parent8d11c6c8213f46f0fa19826917c255edd5d43cb1 (diff)
mzuenni tests
Diffstat (limited to 'content/math/simpson.cpp')
-rw-r--r--content/math/simpson.cpp12
1 files changed, 12 insertions, 0 deletions
diff --git a/content/math/simpson.cpp b/content/math/simpson.cpp
new file mode 100644
index 0000000..7f237a4
--- /dev/null
+++ b/content/math/simpson.cpp
@@ -0,0 +1,12 @@
+//double f(double x) {return x;}
+
+double simps(double a, double b) {
+ return (f(a) + 4.0 * f((a + b) / 2.0) + f(b)) * (b - a) / 6.0;
+}
+
+double integrate(double a, double b) {
+ double m = (a + b) / 2.0;
+ double l = simps(a, m), r = simps(m, b), tot = simps(a, b);
+ if (abs(l + r - tot) < EPS) return tot;
+ return integrate(a, m) + integrate(m, b);
+}