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author | LordMcFungus <mceagle117@gmail.com> | 2022-07-22 21:28:45 +0200 |
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committer | GitHub <noreply@github.com> | 2022-07-22 21:28:45 +0200 |
commit | 23f17598c1742c70f442b94044a20aa821022c5a (patch) | |
tree | a945540ee6a4e86b37df2f01e3a91584b4797c4f /buch/chapters/040-rekursion/gammalimit | |
parent | Merge pull request #2 from AndreasFMueller/master (diff) | |
parent | Merge pull request #25 from JODBaer/master (diff) | |
download | SeminarSpezielleFunktionen-23f17598c1742c70f442b94044a20aa821022c5a.tar.gz SeminarSpezielleFunktionen-23f17598c1742c70f442b94044a20aa821022c5a.zip |
Merge pull request #3 from AndreasFMueller/master
update
Diffstat (limited to 'buch/chapters/040-rekursion/gammalimit')
-rw-r--r-- | buch/chapters/040-rekursion/gammalimit/Makefile | 11 | ||||
-rw-r--r-- | buch/chapters/040-rekursion/gammalimit/l.cpp | 26 | ||||
-rw-r--r-- | buch/chapters/040-rekursion/gammalimit/l.m | 19 |
3 files changed, 56 insertions, 0 deletions
diff --git a/buch/chapters/040-rekursion/gammalimit/Makefile b/buch/chapters/040-rekursion/gammalimit/Makefile new file mode 100644 index 0000000..0804e74 --- /dev/null +++ b/buch/chapters/040-rekursion/gammalimit/Makefile @@ -0,0 +1,11 @@ +# +# Makefile -- build gamma limit test programm +# +# (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +# +l: l.cpp + g++ -O2 -g -Wall `pkg-config --cflags gsl` `pkg-config --libs gsl` \ + -o l l.cpp + +test: l + ./l diff --git a/buch/chapters/040-rekursion/gammalimit/l.cpp b/buch/chapters/040-rekursion/gammalimit/l.cpp new file mode 100644 index 0000000..7a86800 --- /dev/null +++ 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; +} diff --git a/buch/chapters/040-rekursion/gammalimit/l.m b/buch/chapters/040-rekursion/gammalimit/l.m new file mode 100644 index 0000000..32b6442 --- /dev/null +++ b/buch/chapters/040-rekursion/gammalimit/l.m @@ -0,0 +1,19 @@ +# +# l.m -- Berechnung der Gamma-Funktion +# +# (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +# +global N; +N = 10000; + +function retval = gamma(x, n) + p = 1; + for k = (1:n) + p = p * k / (x + k - 1); + end + retval = p * n^(x-1); +endfunction + +for n = (100:100:N) + printf("Gamma(%4d) = %10f\n", n, gamma(0.5, n)); +end |