cleanup: Big pile of whitespace fixes, all at once.

[u/mdw/catacomb] / papers / rand.tex

diff --git a/papers/rand.tex b/papers/rand.tex
index d4ae0c1..5a2014d 100644 (file)
--- a/papers/rand.tex
+++ b/papers/rand.tex
@@ -15,12 +15,12 @@
 %%% it under the terms of the GNU Library General Public License as
 %%% published by the Free Software Foundation; either version 2 of the
 %%% License, or (at your option) any later version.
-%%% 
+%%%
 %%% Catacomb is distributed in the hope that it will be useful,
 %%% but WITHOUT ANY WARRANTY; without even the implied warranty of
 %%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 %%% GNU Library General Public License for more details.
-%%% 
+%%%
 %%% You should have received a copy of the GNU Library General Public
 %%% License along with Catacomb; if not, write to the Free
 %%% Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
@@ -62,7 +62,7 @@
   superficially similar to (for example) the Linux and OpenBSD random number
   generators, it introduces a number of its own innovations which improve
   both security and performance.
-  
+
   The Catacomb generator uses an optional secret key, which can provide
   additional security against forward state compromise extension.  It uses a
   catastrophic reseeding operation to prevent a compromise yielding
@@ -131,8 +131,8 @@ follows:
     I'[8j + b] =
     \begin{cases}
       x\bigl[(r + b) \bmod 8\bigr] \xor
-        \bigxor_{0 \le k < N_I}
-          a_k I\bigl[8\bigl((j + k) \bmod N_I\bigr) + b\bigr] & if $i = j$ \\
+       \bigxor_{0 \le k < N_I}
+         a_k I\bigl[8\bigl((j + k) \bmod N_I\bigr) + b\bigr] & if $i = j$ \\
       I[j + b] & otherwise
     \end{cases} \\
     \textrm{for all integers $j$ and $b$ where $0 \le j < N_I$ and
@@ -210,7 +210,7 @@ performance improvement stops being linear with the buffer size on my
 machine.
 
 \begin{thebibliography}{99}
-  
+
 \bibitem{cp:rand}
   J.~Kelsey, B.~Schneier, D.~Wagner, and C.~Hall, ``Cryptographic Attacks on
   Pseudorandom Number Generators'', \emph{Fast Software Encryption, Fifth
@@ -229,4 +229,4 @@ machine.
 
 %%%----- That's all, folks --------------------------------------------------
 
-\end{document}
\ No newline at end of file
+\end{document}