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-rw-r--r--buch/chapters/040-rekursion/gammalimit/l.cpp26
1 files changed, 26 insertions, 0 deletions
diff --git a/buch/chapters/040-rekursion/gammalimit/l.cpp b/buch/chapters/040-rekursion/gammalimit/l.cpp
new file mode 100644
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+++ b/buch/chapters/040-rekursion/gammalimit/l.cpp
@@ -0,0 +1,26 @@
+/*
+ * l.cpp
+ *
+ * (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+ */
+#include <cstdlib>
+#include <cmath>
+#include <cstdio>
+
+int main(int argc, char *argv[]) {
+ double x = 0.5;
+ double g = tgamma(x);
+ printf("limit: %20.16f\n", g);
+ double p = 1;
+ long long N = 100000000000;
+ long long n = 10;
+ for (long long k = 1; k <= N; k++) {
+ p = p * k / (x + k - 1);
+ if (0 == k % n) {
+ double gval = p * pow(k, x-1);
+ printf("%12ld %20.16f %20.16f\n", k, gval, gval - g);
+ n = n * 10;
+ }
+ }
+ return EXIT_SUCCESS;
+}