Module: ppl/ppl Branch: master Commit: e47ae35e17b0f82f3efd533085ea826db9cf86f3 URL: http://www.cs.unipr.it/git/gitweb.cgi?p=ppl/ppl.git;a=commit;h=e47ae35e17b0f...

Author: Patricia Hill p.m.hill@leeds.ac.uk Date: Tue Mar 23 14:24:19 2010 +0000

Several errors in the documentation for frequency fixed.

---

doc/definitions.dox | 14 +++++++------- 1 files changed, 7 insertions(+), 7 deletions(-)

diff --git a/doc/definitions.dox b/doc/definitions.dox index a0f8782..469ce91 100644 --- a/doc/definitions.dox +++ b/doc/definitions.dox @@ -2201,8 +2201,8 @@ affine expression \f$\mathrm{rhs}\f$. Let \f$\cL \in \Gset_n\f$ be any non-empty grid and \f$\mathrm{expr} = \bigl(\langle \vect{a}, \vect{x} \rangle + b\bigr)\f$ be a linear expression. Then if, for -some \f$b, f \in \Rset\f$, all the points in \f$\cL\f$ satisfy the -congruence \f$\cg = ( \mathrm{expr} \equiv_f b )\f$, then the maximum +some \f$c, f \in \Rset\f$, all the points in \f$\cL\f$ satisfy the +congruence \f$\cg = ( \mathrm{expr} \equiv_f c )\f$, then the maximum \f$f\f$ such that this holds is called the <EM>frequency</EM> of \f$\cL\f$ with respect to \f$\mathrm{expr}\f$.

@@ -2213,8 +2213,8 @@ where \f$\vect{w} \in \cL\f$ and \f[ |\mathrm{val}| = \min\Bigl{ - \bigl|\langle \vect{a}, \vect{v} \rangle + b - \bigr| \st \vect{v} \in \cL + \big|\langle \vect{a}, \vect{v} \rangle + b + \big| \Big| \vect{v} \in \cL \Bigr}. \f]

@@ -2222,9 +2222,9 @@ Observe that the above definition is also applied to other simple objects in the library like polyhedra, octagonal shapes, bd-shapes and boxes and in such cases the definition of frequency can be simplified. For instance, the frequency for an object \f$\cP \in \Pset_n\f$ is -defined if and only if there is a unique value \f$b\f$ such that -\f$\cP\f$ saturates the equality \f$( \mathrm{expr} = b )\f$; -in this case the frequency is \f$0\f$ and the value returned is \f$b\f$. +defined if and only if there is a unique value \f$c\f$ such that +\f$\cP\f$ saturates the equality \f$( \mathrm{expr} = c )\f$; +in this case the frequency is \f$0\f$ and the value returned is \f$c\f$.

\subsection Grid_Time_Elapse Time-Elapse Operator