Artifact 4423de5856ea8fc9af57fda3ca0e0e771992e827cfdc232f42c474f74e5c4b82:

• Executable file r37/doc/manual/cfrac.tex — part of check-in [f2fda60abd] at 2011-09-02 18:13:33 on branch master — Some historical releases purely for archival purposes

  git-svn-id: https://svn.code.sf.net/p/reduce-algebra/code/trunk/historical@1375 2bfe0521-f11c-4a00-b80e-6202646ff360 (user: arthurcnorman@users.sourceforge.net, size: 1153) [annotate] [blame] [check-ins using] [more...]

• Executable file r38/doc/manual/cfrac.tex — part of check-in [f2fda60abd] at 2011-09-02 18:13:33 on branch master — Some historical releases purely for archival purposes

  git-svn-id: https://svn.code.sf.net/p/reduce-algebra/code/trunk/historical@1375 2bfe0521-f11c-4a00-b80e-6202646ff360 (user: arthurcnorman@users.sourceforge.net, size: 1153) [annotate] [blame] [check-ins using]

• Executable file r38/lisp/csl/r38.doc/cfrac.tex — part of check-in [f2fda60abd] at 2011-09-02 18:13:33 on branch master — Some historical releases purely for archival purposes

  git-svn-id: https://svn.code.sf.net/p/reduce-algebra/code/trunk/historical@1375 2bfe0521-f11c-4a00-b80e-6202646ff360 (user: arthurcnorman@users.sourceforge.net, size: 1153) [annotate] [blame] [check-ins using]

\section{CONTINUED\_FRACTION Operator}
\index{approximation}\index{rational number}

The operator CONTINUED\_FRACTION approximates the real number 
( \nameref{rational} number, \nameref{rounded} number)
into a continued fraction. CONTINUE_FRACTION has one or
two arguments, the number to be converted and an optional
precision:
\begin{verbatim}
    continued\_fraction(<num>)
 or
    continued\_fraction(<num>,<size>)
\end{verbatim}
The result is a list of two elements: the
first one is the rational value of the approximation, the second one
is the list of terms of the continued fraction which represents the
same value according to the definition \verb&t0 +1/(t1 + 1/(t2 + ...))&.
Precision: the second optional parameter \meta{size} is an upper bound
for the absolute value of the result denominator. If omitted, the
approximation is performed up to the current system precision.

{\tt Examples:}
\begin{verbatim}
continued_fraction pi;

                  ->

  1146408
{---------,{3,7,15,1,292,1,1,1,2,1}}
  364913

continued_fraction(pi,100);

                  ->

  22
{----,{3,7}}
  7


\end{verbatim}