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zPGY?rhlvoYd30d1;6VZ_2Ad`_^H{Lgz*WzJ?E+3u4rhkO%%xxJf4xA2vh~U*MOH5MUHeBY?a{I3AYUJvO@Y7*u{`{8BSpEvl#GzMIVA1zz25C zkl?B(&2feXJf=_b;3vfz>ZvTI_5U9h gTNOP$sjYsFzJA+%UEQQ`n#KrRYVKTPOB1R81G(hOD*ylh diff --git a/doc/fvn.tex b/doc/fvn.tex index 5a3a0b0..a0302fb 100644 --- a/doc/fvn.tex +++ b/doc/fvn.tex @@ -49,9 +49,9 @@ The usual disclaimer applied : This software is provided AS IS in the hope it wi \section{Naming scheme and convention} The naming scheme of the routines is as follow : \begin{verbatim} - fvn_x_name() + fvn_*_name() \end{verbatim} -where x can be s,d,c or z. +where * can be s,d,c or z. \begin{itemize} \item s is for single precision real (real,real*4,real(4),real(kind=4)) \item d for double precision real (double precision,real*8,real(8),real(kind=8)) @@ -64,7 +64,7 @@ In the following description of subroutines parameters, input parameters are fol The linear algebra routines of fvn are an interface to lapack, which make it easier to use. \subsection{Matrix inversion} \begin{verbatim} -call fvn_x_matinv(d,a,inva,status) +call fvn_*_matinv(d,a,inva,status) (*=s,d,c,z) \end{verbatim} \begin{itemize} \item d (in) is an integer equal to the matrix rank @@ -98,7 +98,7 @@ end program \subsection{Matrix determinants} \begin{verbatim} -det=fvn_x_det(d,a,status) +det=fvn_*_det(d,a,status) (*=s,d,c,z) \end{verbatim} \begin{itemize} \item d (in) is an integer equal to the matrix rank @@ -131,7 +131,7 @@ end program \subsection{Matrix condition} \begin{verbatim} -call fvn_x_matcon(d,a,rcond,status) +call fvn_*_matcon(d,a,rcond,status) (*=s,d,c,z) \end{verbatim} \begin{itemize} \item d (in) is an integer equal to the matrix rank @@ -176,7 +176,7 @@ end program \subsection{Eigenvalues/Eigenvectors} \begin{verbatim} -call fvn_x_matev(d,a,evala,eveca,status) +call fvn_*_matev(d,a,evala,eveca,status) (*=s,d,c,z) \end{verbatim} \begin{itemize} \item d (in) is an integer equal to the matrix rank @@ -223,7 +223,7 @@ By interfacing Tim Davis's SuiteSparse from university of Florida \url{http://ww The provided routines solves the equation $Ax=B$ where A is sparse and given in its triplet form. \begin{verbatim} -call fvn_*_sparse_solve(n,nz,T,Ti,Tj,B,x,status) where * is either zl, zi, dl or di +call fvn_*_sparse_solve(n,nz,T,Ti,Tj,B,x,status) (*=zl,zi,dl,di) \end{verbatim} \begin{itemize} \item For this family of subroutine the two letters (zl,zi,dl,di) decribe the arguments's type. z is for complex(8), d for real(8), l for integer(8) and i for integer(4) @@ -290,7 +290,7 @@ end program \subsection{Identity matrix} \begin{verbatim} - I=fvn_x_ident(n) + I=fvn_*_ident(n) (*=s,d,c,z) \end{verbatim} \begin{itemize} \item n (in) is an integer equal to the matrix rank @@ -305,7 +305,7 @@ This function return the identity matrix of rank n, in the specified type (x = s fvn provide function for interpolating values of a tabulated function of 1, 2 or 3 variables, for both single and double precision. \subsubsection{One variable function} \begin{verbatim} - value=fvn_x_quad_interpol(x,n,xdata,ydata) + value=fvn_*_quad_interpol(x,n,xdata,ydata) (*=s,d) \end{verbatim} \begin{itemize} \item x is the real where we want to evaluate the function @@ -356,7 +356,7 @@ end program \subsubsection{Two variables function} \begin{verbatim} -value=fvn_x_quad_2d_interpol(x,y,nx,xdata,ny,ydata,zdata) +value=fvn_*_quad_2d_interpol(x,y,nx,xdata,ny,ydata,zdata) (*=s,d) \end{verbatim} \begin{itemize} \item x,y are the real coordinates where we want to evaluate the function @@ -415,7 +415,7 @@ end program \subsubsection{Three variables function} \begin{verbatim} -value=fvn_x_quad_3d_interpol(x,y,z,nx,xdata,ny,ydata,nz,zdata,tdata) +value=fvn_*_quad_3d_interpol(x,y,z,nx,xdata,ny,ydata,nz,zdata,tdata) (*=s,d) \end{verbatim} \begin{itemize} \item x,y,z are the real coordinates where we want to evaluate the function @@ -481,7 +481,7 @@ end program \subsubsection{Utility procedure} fvn provides a simple utility procedure to locate the interval in which a value is located in an increasingly ordered array. \begin{verbatim} -call fvn_x_find_interval(x,i,xdata,n) +call fvn_*_find_interval(x,i,xdata,n) (*=s,d) \end{verbatim} \begin{itemize} \item x (in) the real value to locate @@ -497,7 +497,7 @@ The resulting integer i is as : $xdata(i) <= x < xdata(i+1)$. If $x < xdata(1)$ fvn provides Akima spline interpolation and evaluation for both single and double precision real. \subsubsection{Interpolation} \begin{verbatim} -call fvn_x_akima(n,x,y,br,co) +call fvn_*_akima(n,x,y,br,co) (*=s,d) \end{verbatim} \begin{itemize} \item n (in) is an integer equal to the number of points @@ -508,7 +508,7 @@ call fvn_x_akima(n,x,y,br,co) \subsubsection{Evaluation} \begin{verbatim} -y=fvn_x_spline_eval(x,n,br,co) +y=fvn_*_spline_eval(x,n,br,co) (*=s,d) \end{verbatim} \begin{itemize} \item x (in) is the point where we want to evaluate @@ -583,7 +583,7 @@ Results are plotted on figure \ref{akima} fvn provide a function to find a least square polynomial of a given degree, for real in single or double precision. It is performed using Lapack subroutine sgelss (dgelss), which solve this problem using singular value decomposition. \begin{verbatim} -call fvn_x_lspoly(np,x,y,deg,coeff,status) +call fvn_*_lspoly(np,x,y,deg,coeff,status) (*=s,d) \end{verbatim} \begin{itemize} \item np (in) is an integer equal to the number of points @@ -880,7 +880,7 @@ g=fvn_d_lngamma(x) \begin{itemize} \item x (in) is a real(kind=8) \end{itemize} -This function return the natural logarithm of gamma(x) : $ln(\Gamma(x)$ +This function return the natural logarithm of gamma(x) : $ln(\Gamma(x))$ \subsection{factorial} Only double precision real @@ -895,7 +895,7 @@ This function return $n!$ as a real(kind=8). Note that real value is calculated \subsection{Chebyshev series evaluation} Single and double precision real. \begin{verbatim} -s=fvn_x_csevl(x,a,n) +s=fvn_*_csevl(x,a,n) (*=s,d) \end{verbatim} \begin{itemize} \item x is a real -- 2.16.4