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-%#!eplatex resume.tex
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-\[
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-$a$$B$NJ?J}:,(B$\sqrt a$$B$N7W;;$O!$J}Dx<0(B$1-a/x^2=0$$B$+$iF3$+$l$k(BNewton$BK!(B
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-\paragraph{$B;X?t4X?t(B (\textit{fp\_exponent})}
-$B;X?t4X?t$O(BTaylor$BE83+(B$\exp x=\sum_{i=0}^\infty x^i/i!$$B$NM-8B(B
-$B9`$NItJ,OB$G7W;;$9$k!%<}B+$rB.$a$k$?$a$H!$8rBe5i?t$N7W;;$K7eMn$A$N62$l$,(B
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-\paragraph{$B;03Q4X?t<~JU(B (\textit{fp\_tri\_hyp},
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-$B$N7W;;$r9T$$!$(B
-\[
- \sin 2x=2\sin x(\cos x-1)+2\sin x,\qquad
-\cos 2x-1=-2\sin^2 x
-\]
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-
-$BAP6J@~4X?t$G$O!$(B
-\[
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-\cosh 2x-1=2\sinh^2 x
-\]
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-\paragraph{$BBP?t4X?t<~JU(B (\textit{fp\_log\_inner},
-\textit{fp\_log}, \textit{fp\_arc\_hyp})}
-$BBP?t4X?t$O!$1|B<(B\nobreak\cite{okuc}$B$K$h$l$P(B
-\[
- \frac12\log\frac{1+u}{1-u}=u+\frac{u^3}{3}+\frac{u^5}{5}
-+\frac{u^7}{7}+\cdots
-\]
-$B$r7W;;$9$kJ}$,B.$$$H$"$k$,!$L@$i$+$KJ,$+$k$h$&$K$3$N<0$O(Barctanh$B$N(BTaylor
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-$B$O(B$x>0$$B$G$OC1D4A}2C$G(B$x=1$$B$N$H$-$K(B$u=0$$B$H$J$k!%EvA3<}B+$rB.$a$k$?$a$K$O(B
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-$B$5$;!$0J2<$N$h$&$K$5$i$KJQ49$9$k!'(B
-\def\from{\leftarrow}
-\begin{alignat*}{4}
-x \in[1,1.5)&\Longrightarrow \text{\inhibitglue$B!J$=$N$^$^!K(B\inhibitglue},\qquad&
-x \in[1.5,3)&\Longrightarrow x\from x/2,\\
-x \in[3,6)&\Longrightarrow x\from x/4,&
-x \in[6,10)&\Longrightarrow x\from x/8.
-\end{alignat*}
-$B$3$&$9$k$H!$(B$|u|\le 0.2$$B$H$J$j!$<}B+B.EY$O$+$J$jB.$$$b$N$HM=A[$5$l$k!%5U(B
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-
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-$B$G7W;;2DG=$G$"$k!'(B
-\begin{align*}
-\mathop{\rm arcsinh} x&=\log(x+\sqrt{x^2+1}),\\
-\mathop{\rm arccosh} x&=\log(x+\sqrt{x^2-1}),\qquad x\ge 1\\
-\mathop{\rm arctanh} x&=\frac12\log\frac{1+x}{1-x},\qquad |x|<1
-\end{align*}
-$B$3$NCf$G(Barctanh$B$N<BAu$O(Blog$B$N$=$l$NFbIt$KF~$j9~$`7A$K$J$C$F$$$k$N$G!$0z?t(B
-$B$,>.$5$$>l9g$K$O(B$\log x$$B$NFbIt7W;;It!JB($A!$K\@a$N:G=i$K<($7$?(BTaylor$BE83+(B
-$B$N7W;;!K$K$=$N$^$^0z$-EO$7$F$7$^$&$h$&$K$7$?!%(B
-
-$B$7$+$7!$$3$N<0$G$O(B$x\simeq 0$$B$G$"$k$H$-!$(B$x+\sqrt{x^2+1}\simeq 1$$B$H$J$k(B
-$B$N$G7eMn$A$,H/@8$9$k!%$=$3$G!$(B$x$$B$NM-8z7e?t$,(B$3n$$B$G$"$k$H$-!$(B
-$|x|<10^{-n-5}$$B$G$"$l$P!$<!$N(BTaylor$BE83+<0$rMQ$$$F(Barcsinh$B$r7W;;$9$k$3$H$K$7(B
-$B$?!'(B
-\[
-\mathop{\rm arcsinh} x=x-\frac{x^3}6+\frac{3x^5}{40}-\cdots.
-\]
-\paragraph{$B5U;03Q4X?t(B (\textit{fp\_arc\_tri})}
-$B5U;03Q4X?t$OB?2A$@$,!$>o<1E*$K9M$($l$P(B$\arcsin x$, $\arctan x\in
-[-\pi/2,\pi/2]$, $\arccos x\in[0,\pi]$$B$H$9$k$N$,E,Ev$@$m$&!%(B$\arcsin
-x=\arctan (x/\!\sqrt{1-x^2})$$B$G$"$k$+$i!$(B$\arctan x$$B$@$17W;;$9$l$P$h$$$,!$(B
-$B$3$l$O$$$D$b$N$h$&$K5i?tE83+(B
-\[
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-\]
-$B$rMQ$$$k!%(B$\arctan x=\pi/2 - \arctan x^{-1}$, $\arctan x=\pi/4 - \arctan
-((1-x)/(1+x))$$B$rMQ$$$l$P!$(B$|x|\le \tan \pi/8=\sqrt 2-1=0.414\cdots$$B$^$G(B
-$B$G$-$F!$<}B+$OJ]>Z$5$l$k!%(B
-\paragraph{$B$Y$->h(B (\textit{fp\_pow\_int})}
-$B0lHL$K$O(B$a^b$$B$N7W;;$O(B$\exp(b\log a)$$B$H$9$l$P$h$$$,!$$=$l$G$O(B$(-2)^5$$B$J$I(B
-$B$N(B$a\in[-\infty,0)$, $b\in\mathbb Z\setminus\mathbb N$$B$N$H$-$,7W;;$G$-$J(B
-$B$$!%$3$N$?$a!$;X?tItJ,$,@0?t$N$H$-$NN_>h$r7W;;$9$k4X?t(B
-\textit{fp\_pow\_int}$B$r:n$C$?!%J}?K$O1|B<(B\nobreak\cite{okuc}$B$K=>$$!$Nc$($P(B$b=1701$$B$N(B
-$B$H$-$O!$(B$1701=1024+512+128+32+4+1$$B$G$"$k$+$i!$(B$x_0:=a$, $x_{n+1}:=x_n^2$
-$B$H$7$?$H$-!$(B$a^b=x_0x_2x_5x_7x_9x_{10}$$B$H$7$F5a$a$l$PNI$$!%(B
-
-$B5$$K$J$k$N$O(B$0^0$$B$N07$$$@$,!$K\Mh$O(BNaN$B$H$9$k$N$,@5Ev$J07$$$G$"$m$&!%$7$+(B
-$B$7!$$3$3$G$O<jH4$-$7!$(B\textit{fp\_pow}$B$G$b(B\textit{fp\_pow\_int}$B$G$b(B1$B$H$7(B
-$B$?!%8e$+$i9M$($?$j8+$D$1$?$j$7$?$3$8$D$1$r(B3$B$D$P$+$j!'(B
-\begin{itemize}
-\item $a^b=\exp(b\log a)$$B$rL5M}$d$j(B$a=b=0$$B$N(B
-$B$H$-$K$bE,MQ$7$F!$(B``$0^0=\exp(0\log 0)=\exp(0\cdot -\infty)=\exp 0=1$''$B!%(B
-\item $m^n=\#\{f\colon n\longrightarrow m\}$$B$G$"$k(B\footnote{$B=89gO@E*Dj5A$K=>$$!$(B
-$m=\{0,1,\ldots,m-1\}$$B$H$7$F9M$($F$$$k!%(B}$B$+$i!$(B
-$0^0=\#\{f\colon0\longrightarrow 0\}=\#\{f\colon
-\emptyset\longrightarrow\emptyset\}=1$$B$H$J$k!%(B
-\item $BFs9`DjM}(B$(1+m)^n=\sum_{i=0}^n {n\choose i}m^i$$B$r(B$m=n=0$$B$N$H$-@.N)(B
- $B$5$;$k$?$a$KI,MW!%(B
-\end{itemize}
-
-\subsection{$B9bB.2=(B}
-$B0l1~0J>e$K5s$2$?4X?t$N<BAu$O9T$C$?$,!$$3$l$i$N4X?t$O1i;;$NESCf7P2a$,5a$^(B
-$B$kEY$KF0E*3NJ](B/$B2rJ|$r9T$C$F$*$j!$(Barcsin$B$r5a$a$k$@$1$G(B800$B2s0J>e$NF0E*3NJ](B
-$B$r9T$C$F$$$?!%$3$l$OB.EYE*$KHs>o$KITMx$G$"$k$N$G!$$G$-$k8B$jF0E*3NJ]$r9T(B
-$B$o$:$K$9$`$h$&$K=q$-D>$9I,MW$,$"$C$?!%(B
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-$BJ}?K$H$7$F$O<!$NDL$j$G$"$k!'3F1i;;$G$O!$EvA30z?t$H7k2L$r3JG<$9$k$?$a$NNN(B
-$B0h$H!$0l;~NN0h$,I,MW$K$J$k$,!$0z?t$NM-8z7e?t$,!J$D$^$j!$0z?t$rI=8=$9$k$N(B
-$B$KI,MW$J%a%b%jNN0h$NNL$,!K$o$+$C$F$$$l$P!$0l;~NN0h$NBg$-$5$O$=$3$+$i7W;;(B
-$B$9$k$3$H$,$G$-$k!%85!9$N8F$S=P$785$O(B\textit{do\_float\_operation}$B$H$$$&(B1
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-$B=*E*$K<B9T$5$l!$7k2L$rI=8=$9$k(Bglue$B$,F@$i$l$k!%(B}$B!%$h$C$F!$I,MW$J0l;~NN0h$N>e8B$,(B
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-\eteiri
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-$B$s$G$b$J$$$*$*$4$H$K$J$C$F$7$^$C$?$3$H$K$O6C$-$G$"$k!%<h$j>e$2$F$b$i$($k(B
-$B$N$O$&$l$7$$$3$H$G$O$"$k$,!$(B\epTeX $B$,$I$s$I$s<+J,$NCf$KJz$($-$l$J$$$b$N(B
-$B$K$J$C$F$$$k$h$&$J5$$b$7$F$$$k!%(B
-
-\newpage
-\section{$BIUO?(B}
-\subsection{$\bm\varepsilon$-\pTeX $B$N%3%s%Q%$%kJ}K!$N%$%a!<%8(B}
-{\tt eptex-xxxxx.xx.tar.bz2}$BFb$N(B{\tt HOWTOINST.txt}$B$H$+$r8+$l$PJ,$+$kOC$G$O(B
-$B$"$k$,!$?^$K$7$F$*$/$H$J$K$+$HJXMx$G$"$k!%(B
-
-\begin{adjustvboxheight}
-\small\narrowbaselines
-\begin{center}
-\xymatrix{\
-\texttt{../tex.web}\ar[r]&\fbox{\tt
-tie}\ar[r]&\texttt{ptex.web}\ar[r]&\fbox{\tt tie}\ar[r]&(*)\\
-&\xymtt{../tex.ch}\ar[u]&\texttt{ptex.ch}\ar[ur]&\texttt{etex.ch}\ar[u]&%
-{\begin{array}{c}\texttt{etex-sysdep.ch}\\\texttt{fp.ch}\end{array}}\ar[ul]\\
-&\xymtt{ptex-base.ch}\ar[ur]^-{\xymtt{tie -c ...}}&
-\texttt{etex.diff}\ar[r]^-{\rm patch}&\\
-&&\texttt{../etexdir/etex.ch}\ar[r]^-{\rm cp}
-&\texttt{etex.ch}\ar[uu]}
-\ \\[0.5\baselineskip]\
-\xymatrix{
-(*)=\texttt{eptex.web}\ar[r]&\fbox{\tt tangle}\ar[r]&
-\texttt{eptex.p}\ar[rr]^-{\rm Web2C}&&\text{{\tt tex1.c}\ etc.}%
-\ar[rr]^-{\text{C compiler}}&&\texttt{eptex}\\
-&&&\texttt{pconvert.diff}\ar[u]_-{\text{patch to {\tt pconvert}}}&
-\texttt{ep1.diff}\ar[r]^-{\rm patch}&\\
-&&&&&\hbox to 0zw{\hss\texttt{ptexextra.c} etc.\hss}\ar[uu]
-}\
-\end{center}
-\end{adjustvboxheight}
-
-\subsection{\WEB $B$N<BNc!'(B\texttt{ks1.web}}
-$B$3$N%U%!%$%k$,$"$k%G%#%l%/%H%j!$$b$7$/$O8x3+>l=j$K$"$k(B{\tt ks1.web}$B$O!$KM(B
-$B$,7W;;?t3X(BI$B$N%l%]!<%H$K=q$$$?(BCarmichael$B?t$rC5:w$9$k%W%m%0%i%`!J(B{\tt
-ks1.f90}, Fortran 90$B!K$r(B\WEB $B$KK]Lu$7$?$b$N$G$"$k!%(B
-
-$B$3$3$G$O!$!JK\Mh$N(B\WEB $B$G$OF|K\8l$,DL$i$J$$$N$G!K>>;3$5$s$NF|K\8lHG(B
-WEB~\cite{jpweb}$B$r;H$o$;$F$b$i$&$3$H$K$7$?!%$3$NF|K\8lHG(B\WEB $B$K$h$k(B
-{\tt jtangle}, {\tt jweave}$B%3%^%s%I$,$=$l$>$l(B{\tt tangle}, {\tt weave}$B$N(B
-$BBe$o$j$H$J$k!%(B
-
-$BKM$O(BPascal$B$N%3%s%Q%$%i$r=j;}$7$F$$$J$+$C$?$N$G!$(BWeb2C$B$rMxMQ$7$F%3%s%Q(B
-$B%$%k$r9T$C$?!%(B
-\begin{adjustvboxheight}
-\narrowbaselines\small
-\begin{verbatim}
- [h7k doc]$ web2cdir=/home/h7k/ks2/texk/web2c/web2c
- [h7k doc]$ cat $web2cdir/common.defines $web2cdir/texmf.defines ks1.p|$web2cdir/
- web2c -t -hks1-a.h -cks1 |$web2cdir/fixwrites > ks1.c
- [h7k doc]$ gcc -o ks1 ks1.c
-\end{verbatim}
-\end{adjustvboxheight}
-{\tt jtangle}, {\tt jweave}$B%3%^%s%I$G$G$-$?(B{\tt ks1.p}, {\tt ks1.tex}$B$d!$(B
-$B>e$N$h$&$K(BC$B8@8l$KJQ49$7$FF@$i$l$?(B{\tt ks1.c}, {\tt ks1.h}$B$bF1$8%G%#%l%/(B
-$B%H%j$KCV$$$F$*$$$?!%(B
-$B$J$*!$(B{\tt ks1-a.h}$B$H$$$&$N$O(BWeb2C$B$,EG$/(BC$B%=!<%9$r(B
-$B$-$A$s$H%3%s%Q%$%k$G$-$k$h$&$K$9$k$?$a$N:G>.8B$N@_Dj$G$"$k!%(B
-
-
-\newpage
-\begin{thebibliography}{99}
-\bibitem{matsu3} $B>>;3(B $BF;IW!$!V(B\TeX $BFI$_J*$=$N(B3$B!!(B\TeX $B$N@.N)$A$K4X$9$k(B
- $B=t!9!W!%(B\\
-\verb+http://www.matsuand.com/downloads/texread/texread3.pdf+
-\bibitem{webman} Donald\ E.~Knuth. \textit{The \WEB\ System of
- Structured Documentation}. Stanford Computer Science Report
- CS980, 1983.\\
-$BNc$($P(B\verb+http://www.ctan.org/tex-archive/systems/knuth/WEB/WEBman.tex+
- $B$H$+$K$"$k!%(B
-\bibitem{texwiki} $B1|B<;a$N(B\TeX\ wiki$B$N!V(BMake$B!W$N9`!%(B\\
-\verb+http://oku.edu.mie-u.ac.jp/~okumura/texwiki/?Make+
-\bibitem{etexman} The \NTS\ Team. \textit{The \eTeX\ manual}. \\
-\verb+http://www.tug.org/texlive/Contents/live/texmf-dist/doc/etex/base/etex_man.pdf+
-\bibitem{trip} Donald E. Knuth. \textit{A torture test for
- \TeX}. Stanford Computer Science Report CS1027, 1984.\\
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-\bibitem{etrip} The \NTS\ Team. \textit{A torture test for \eTeX}.\\ $B5lHG(B\
-(Ver.~2) $B$,0J2<$K$"$k!%8=:_$O(BVer.~2.2$B$G!$(B\TeX\ Live 2007$B$H$+$K$OF~$C$F$$(B
- $B$k!%(B\\%
-\verb+http://tug.ctan.org/cgi-bin/getFile.py?fn=/systems/e-tex/v2/etrip/etripman.tex+
-\bibitem{TAOCP} Donald E.\ Knuth.
-{\it The Art of Computer Programming}, Volume 2: Seminumerical
-Algorithms. Addison-Wesley, third edition 1998.
-\bibitem{arizawa} $BM-_7(B $B@?(B $BJT!$!X%/%L!<%9@h@8$N%W%m%0%i%`O@!Y!$6&N)=PHG!$(B
-1991
-\bibitem{jpweb} $B>>;3(B $BF;IW!$F|K\8lHG(B\WEB$B!J;n6!HG!K!%(B\\
-\verb+http://www.matsuand.com/downloads/jWEB/jWEB-0.0.7.tar.gz+
-\bibitem{pascal} K.\ $B%$%'%s%<%s!$(BN.\ $B%t%#%k%H(B $BCx!$(BA.\ B.~$B%_%1%k!$(BL.\ F.~%
- $B%^%$%J!<(B $B2~D{!$86ED(B $B8-0l(B $BLu!$(B\\
-$B!X>pJs=hM}%7%j!<%:(B2$B!!(BPASCAL$B!!86=qBh(B4
- $BHG!Y!$G]Iw4[!$(B1981
-\bibitem{mppack} $BJ?;3(B $B90!$9b@:EY7W;;%W%m%0%i%`(BMPPACK 1.0$B!%(B
-\verb+http://phase.hpcc.jp/phase/mppack/+
-\bibitem{okuc} $B1|B<(B $B@2I'!$!X(BC$B8@8l$K$h$k:G?7%"%k%4%j%:%`<-E5!Y!$5;=QI>O@(B
- $B<R!$(B1991
-\bibitem{beebe} Nelson H. F. Beebe. Extending \TeX\ and \mf\
- with Floating-Point Arithmetic. \textit{TUGboat}, 28 (3),
- November 2007.
-\verb+http://www.math.utah.edu/~beebe/talks/2007/tug2007/tug2007.pdf+
-\bibitem{ori} $B?t3X2J(B3$BG/%*%j%(%s%F!<%7%g%s78!$!X(B2007$BG/EY(B $B?t3X2J%*%j%Q%s(B
- $B%U!Y!$(B2007.9\\
-$B!J?tM}(B266$B!J3XIt@8MQ95$(<<!K$K7k9=;DIt$,$"$kLOMM!%!K(B
-\bibitem{okupt} $B1|B<(B $B@2I'!$!V(BpTeX$B$X$NDs0F$b$I$-!W!$(B2008.1.4$B!%(B\\
-\verb+http://oku.edu.mie-u.ac.jp/tex/mod/forum/discuss.php?d=29+
-\end{thebibliography}
-
-\end{document}