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author | erik-loeffler <100943759+erik-loeffler@users.noreply.github.com> | 2022-08-15 09:54:10 +0200 |
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committer | GitHub <noreply@github.com> | 2022-08-15 09:54:10 +0200 |
commit | 504d47a5a03f60cd54425cfd97fbff750a3f9061 (patch) | |
tree | 74aef248a603bad26b825371af8526b008807950 /buch/papers/0f1/listings/kettenbruchRekursion.c | |
parent | Merge pull request #3 from haddoucher/sturmliouville/erik-branch (diff) | |
parent | Merge pull request #49 from HeadAndToes/master (diff) | |
download | SeminarSpezielleFunktionen-504d47a5a03f60cd54425cfd97fbff750a3f9061.tar.gz SeminarSpezielleFunktionen-504d47a5a03f60cd54425cfd97fbff750a3f9061.zip |
Merge branch 'AndreasFMueller:master' into master
Diffstat (limited to 'buch/papers/0f1/listings/kettenbruchRekursion.c')
-rw-r--r-- | buch/papers/0f1/listings/kettenbruchRekursion.c | 24 |
1 files changed, 16 insertions, 8 deletions
diff --git a/buch/papers/0f1/listings/kettenbruchRekursion.c b/buch/papers/0f1/listings/kettenbruchRekursion.c index 958d4e1..3caaf43 100644 --- a/buch/papers/0f1/listings/kettenbruchRekursion.c +++ b/buch/papers/0f1/listings/kettenbruchRekursion.c @@ -1,19 +1,27 @@ -static double fractionIter0f1(const double b0, const double z, unsigned int n)
+/**
+ * @brief Calculates the Hypergeometric Function 0F1(;c;z)
+ * @param c in 0F1(;c;z)
+ * @param z in 0F1(;c;z)
+ * @param k number of itertions (precision)
+ * @return Result
+ */
+static double fractionIter0f1(const double c, const double z, unsigned int k)
{
+ //declaration
double a = 0.0;
double b = 0.0;
- double abn = 0.0;
+ double abk = 0.0;
double temp = 0.0;
- for (; n > 0; --n)
+ for (; k > 0; --k)
{
- abn = z / (n * ((n - 1) + b0)); //abn = ak, bk
+ abk = z / (k * ((k - 1) + c)); //abk = ak, bk
- a = n > 1 ? (1 + abn) : 1; //a0, a1
- b = n > 1 ? -abn : abn; //b1
+ a = k > 1 ? (1 + abk) : 1; //a0, a1
+ b = k > 1 ? -abk : abk; //b1
- temp = b / (a + temp);
+ temp = b / (a + temp); //bk / (ak + last result)
}
- return a + temp; //a0 + temp
+ return a + temp; //a0 + temp
}
\ No newline at end of file |