Fix typos found by Marc - libzahl - big integer library
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---
(DIR) commit bf8dfe5a718f7daa96d918367f30a3c272533b40
(DIR) parent 6b97020bdbdc5eb08aaa638d0649013ce9c65188
(HTM) Author: Mattias Andrée <maandree@kth.se>
Date: Tue, 14 Jun 2016 12:39:19 +0200
Fix typos found by Marc
Signed-off-by: Mattias Andrée <maandree@kth.se>
Diffstat:
M doc/not-implemented.tex | 28 ++++++++++++++--------------
1 file changed, 14 insertions(+), 14 deletions(-)
---
(DIR) diff --git a/doc/not-implemented.tex b/doc/not-implemented.tex
@@ -2,30 +2,30 @@
\label{chap:Not implemented}
In this chapter we maintain a list of
-features we have choosen not to implement,
+features we have chosen not to implement,
but would fit into libzahl had we not have
our priorities straight. Functions listed
-herein will only be implemented if there
-is shown that it would be overwhelmingly
+herein will only be implemented if it is
+shown that it would be overwhelmingly
advantageous. For each feature, a sample
implementation or a mathematical expression
on which you can base your implemention
is included. The sample implementations create
temporary integer references, this is to
-simplify in the examples. You should try to
+simplify the examples. You should try to
use dedicated variables; in case of recursion,
a robust program should store temporary
variables on a stack, so they can be
-clean up of something happens.
+clean up if something happens.
Research problems, like prime-factorisation
and discrete logarithms do not fit in the
scope of bignum libraries. % Unless they are extraordinarily bloated with vague mission-scope, like systemd.
-And therefore does not fit into libzahl,
+And therefore do not fit into libzahl,
and will not be included in this chapter.
Operators and functions that grow so
ridiculously fast that a tiny lookup table
-constructed to cover all practicle input
+constructed to cover all practical input
will also not be included in this chapter,
nor in libzahl.
@@ -196,7 +196,7 @@ TODO % Square: Cipolla's algorithm, Pocklington's algorithm, Tonelli–Shanks al
\( \displaystyle{
n! = \left \lbrace \begin{array}{ll}
- \displaystyle{\prod_{i = 0}^n i} & \textrm{if}~ n \ge 0 \\
+ \displaystyle{\prod_{i = 1}^n i} & \textrm{if}~ n \ge 0 \\
\textrm{undefined} & \textrm{otherwise}
\end{array} \right .
}\)
@@ -463,7 +463,7 @@ Each call to {\tt fib\_ll} returns $F_n$ and $F_{n - 1}$
for any input $n$. $F_{k}$ is only correctly returned
for $k \ge 0$. $F_n$ and $F_{n - 1}$ is used for
calculating $F_{2n}$ or $F_{2n + 1}$. The algorithm
-can be speed up with a larger lookup table than one
+can be sped up with a larger lookup table than one
covering just the base cases. Alternatively, a naïve
calculation could be used for sufficiently small input.
@@ -596,8 +596,8 @@ a fully unrolled
\label{sec:Hamming distance}
A simple way to compute the Hamming distance,
-the number of differing bits, between two number
-is with the function
+the number of differing bits, between two
+numbers is with the function
\begin{alltt}
size_t
@@ -615,8 +615,8 @@ is with the function
\noindent
The performance of this function could
-be improve by comparing character by
-character manually with using {\tt zxor}.
+be improved by comparing character by
+character manually using {\tt zxor}.
\newpage
@@ -658,7 +658,7 @@ side-effects.
This could be useful for creating duplicates
with modified sign. But only if neither
-{\tt r} or {\tt a} will be modified whilst
+{\tt r} nor {\tt a} will be modified whilst
both are in use. Because it is unsafe,
fairly simple to create an implementation
with acceptable performance — {\tt *r = *a},