git-svn-id: https://lxsd.femto-st.fr/svn/fvn@27 b657c933-2333-4658-acf2-d3c7c2708721

daniau
1 parent 42591138ec
Showing 2 changed files with 40 additions and 0 deletions Side-by-side Diff
doc/fvn.pdf
doc/fvn.tex
@@ -287,8 +287,17 @@
  
 \end{verbatim}
  
+\subsection{Identity matrix}
+\begin{verbatim}
+ I=fvn_x_ident(n)
+\end{verbatim}
+\begin{itemize}
+ \item n (in) is an integer equal to the matrix rank
+\end{itemize}
+This function return the identity matrix of rank n, in the specified type (x = s,d,c,z).
  
  
+
 \section{Interpolation}
  
 \subsection{Quadratic Interpolation}
  
  
@@ -861,8 +870,39 @@
 \end{verbatim}
  
  
+\section{Special functions}
+\subsection{Gamma}
+Only double precision real
+\begin{verbatim}
+g=fvn_d_lngamma(x)
+\end{verbatim}
+\begin{itemize}
+ \item x (in) is a real(kind=8) 
+\end{itemize}
+This function return the natural logarithm of gamma(x) : $ln(\Gamma(x)$
  
+\subsection{factorial}
+Only double precision real
+\begin{verbatim}
+f=fvn_d_factorial(n)
+\end{verbatim}
+\begin{itemize}
+ \item n (in) is an integer
+\end{itemize}
+This function return $n!$ as a real(kind=8). Note that real value is calculated for n lower or equal 32. For higher n, the factorial is evaluated using gamma function.
  
+\subsection{Chebyshev series evaluation}
+Single and double precision real.
+\begin{verbatim}
+s=fvn_x_csevl(x,a,n)
+\end{verbatim}
+\begin{itemize}
+ \item x is a real
+ \item a(n) is a real length n array
+ \item n is an integer
+\end{itemize}
+
+This function evaluates a Chebyshev series at point x. The coefficients are stored in the array a. The value x must lie in the interval [-1,1] (however no test is performed).
  
 \end{document}
...	...	@@ -287,8 +287,17 @@
287	287
288	288	\end{verbatim}
289	289
	290	+\subsection{Identity matrix}
	291	+\begin{verbatim}
	292	+ I=fvn_x_ident(n)
	293	+\end{verbatim}
	294	+\begin{itemize}
	295	+ \item n (in) is an integer equal to the matrix rank
	296	+\end{itemize}
	297	+This function return the identity matrix of rank n, in the specified type (x = s,d,c,z).
290	298
291	299
	300	+
292	301	\section{Interpolation}
293	302
294	303	\subsection{Quadratic Interpolation}
295	304
296	305
...	...	@@ -861,8 +870,39 @@
861	870	\end{verbatim}
862	871
863	872
	873	+\section{Special functions}
	874	+\subsection{Gamma}
	875	+Only double precision real
	876	+\begin{verbatim}
	877	+g=fvn_d_lngamma(x)
	878	+\end{verbatim}
	879	+\begin{itemize}
	880	+ \item x (in) is a real(kind=8)
	881	+\end{itemize}
	882	+This function return the natural logarithm of gamma(x) : $ln(\Gamma(x)$
864	883
	884	+\subsection{factorial}
	885	+Only double precision real
	886	+\begin{verbatim}
	887	+f=fvn_d_factorial(n)
	888	+\end{verbatim}
	889	+\begin{itemize}
	890	+ \item n (in) is an integer
	891	+\end{itemize}
	892	+This function return $n!$ as a real(kind=8). Note that real value is calculated for n lower or equal 32. For higher n, the factorial is evaluated using gamma function.
865	893
	894	+\subsection{Chebyshev series evaluation}
	895	+Single and double precision real.
	896	+\begin{verbatim}
	897	+s=fvn_x_csevl(x,a,n)
	898	+\end{verbatim}
	899	+\begin{itemize}
	900	+ \item x is a real
	901	+ \item a(n) is a real length n array
	902	+ \item n is an integer
	903	+\end{itemize}
	904	+
	905	+This function evaluates a Chebyshev series at point x. The coefficients are stored in the array a. The value x must lie in the interval [-1,1] (however no test is performed).
866	906
867	907	\end{document}