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%$Header: /home/dashley/cvsrep/uculib01/uculib01/doc/manual/c_baf0/c_baf0.tex,v 1.13 2010/04/16 19:05:26 dashley Exp $ |
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\chapter{Bounded Arithmetic Functions} |
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\label{cbaf0} |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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\section{Introduction and Overview} |
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%Section tag: iov0 |
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\label{cbaf0:siov0} |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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\section{\emph{UCU\_SINT8} Functions} |
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%Section tag: scf0 |
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\label{cbaf0:sscf0} |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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\subsection[\emph{UcuBaS8AbsDiffBoundedRxx(\protect\mbox{\protect$\cdot$})}] |
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{\emph{UcuBaS8AbsDiffBoundedRxx(\protect\mbox{\protect\boldmath $\cdot$})}} |
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\label{cbaf0:sscf0:sfss1} |
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\index{UcuBaS8AbsDiffBoundedRxx()@\emph{UcuBaS8AbsDiffBoundedRxx($\cdot$)}}% |
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|
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\noindent\textbf{PROTOTYPE} |
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\begin {list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item |
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\begin{verbatim} |
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UCU_SINT8 UcuBaS8AbsDiffBoundedRxx(UCU_SINT8 x1, UCU_SINT8 x2) |
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\end{verbatim} |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{SYNOPSIS} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item Calculates $|x_1-x_2|$, clipped into $[0, 127]$. |
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\item The mapping performed by this function can also be expressed as: |
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|
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\begin{equation} |
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\label{eq:cbaf0:sscf0:sfss1:01} |
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f(x_1, x_2) = min(|x_1 - x_2|, 127) . |
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\end{equation} |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{INPUTS} |
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\begin{list}{}{\setlength{\leftmargin}{0.5in}\setlength{\itemindent}{-0.25in}\setlength{\topsep}{0.0in}\setlength{\partopsep}{0.0in}} |
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\item \emph{\textbf{x1}}, \emph{\textbf{x2}}\\ |
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The arguments whose bounded absolute value is to be calculated. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{OUTPUT} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item $min(|x_1 - x_2|, 127)$. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{INTERRUPT COMPATIBILITY} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item This function may be used from both non-ISR and ISR software. |
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\item This function is thread-safe. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{EXECUTION TIME} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item TBD. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{FUNCTION NAME MNEMONIC} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item \emph{S8}: operates on UCU\_SINT8 operands. |
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\emph{Abs}: absolute value. |
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\emph{Bounded}: bounded. |
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\end{list} |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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\subsection[\emph{UcuBaS8DiffBoundedRxx(\protect\mbox{\protect$\cdot$})}] |
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{\emph{UcuBaS8DiffBoundedRxx(\protect\mbox{\protect\boldmath $\cdot$})}} |
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\label{cbaf0:sscf0:sfss0} |
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\index{UcuBaS8DiffBoundedRxx()@\emph{UcuBaS8DiffBoundedRxx($\cdot$)}}% |
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\noindent\textbf{PROTOTYPE} |
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\begin {list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item |
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\begin{verbatim} |
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UCU_SINT8 UcuBaS8DiffBoundedRxx(UCU_SINT8 x1, UCU_SINT8 x2) |
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\end{verbatim} |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{SYNOPSIS} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item Calculates $x_1-x_2$, clipped into $[-128, 127]$. |
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\item The mapping performed by this function can also be expressed as: |
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|
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\begin{equation} |
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\label{eq:cbaf0:sscf0:sfss0:01} |
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f(x_1, x_2) = min(max(x_1 - x_2, -128), 127) . |
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\end{equation} |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{INPUTS} |
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\begin{list}{}{\setlength{\leftmargin}{0.5in}\setlength{\itemindent}{-0.25in}\setlength{\topsep}{0.0in}\setlength{\partopsep}{0.0in}} |
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\item \emph{\textbf{x1}}, \emph{\textbf{x2}}\\ |
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The arguments whose bounded difference is to be calculated. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{OUTPUT} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item $min(max(x_1 - x_2, -128), 127)$. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{INTERRUPT COMPATIBILITY} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item This function may be used from both non-ISR and ISR software. |
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\item This function is thread-safe. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{EXECUTION TIME} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item TBD. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{FUNCTION NAME MNEMONIC} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item \emph{S8}: operates on UCU\_SINT8 operands. |
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\emph{Diff}: difference. |
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\emph{Bounded}: bounded. |
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\end{list} |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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\section{\emph{UCU\_SINT16} Functions} |
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\label{cbaf0:sscf1} |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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\subsection[\emph{UcuBaS16AbsDiffBoundedRxx(\protect\mbox{\protect$\cdot$})}] |
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{\emph{UcuBaS16AbsDiffBoundedRxx(\protect\mbox{\protect\boldmath $\cdot$})}} |
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\label{cbaf0:sscf1:sfss1} |
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\index{UcuBaS16AbsDiffBoundedRxx()@\emph{UcuBaS16AbsDiffBoundedRxx($\cdot$)}}% |
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\noindent\textbf{PROTOTYPE} |
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\begin {list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item |
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\begin{verbatim} |
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UCU_SINT16 UcuBaS16AbsDiffBoundedRxx(UCU_SINT16 x1, UCU_SINT16 x2) |
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\end{verbatim} |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{SYNOPSIS} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item Calculates $|x_1-x_2|$, clipped into $[0, 32767]$. |
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\item The mapping performed by this function can also be expressed as: |
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|
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\begin{equation} |
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\label{eq:cbaf0:sscf1:sfss1:01} |
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f(x_1, x_2) = min(|x_1 - x_2|, 32767) . |
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\end{equation} |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{INPUTS} |
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\begin{list}{}{\setlength{\leftmargin}{0.5in}\setlength{\itemindent}{-0.25in}\setlength{\topsep}{0.0in}\setlength{\partopsep}{0.0in}} |
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\item \emph{\textbf{x1}}, \emph{\textbf{x2}}\\ |
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The arguments whose bounded absolute value is to be calculated. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{OUTPUT} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item $min(|x_1 - x_2|, 32767)$. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{INTERRUPT COMPATIBILITY} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item This function may be used from both non-ISR and ISR software. |
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\item This function is thread-safe. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{EXECUTION TIME} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item TBD. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{FUNCTION NAME MNEMONIC} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item \emph{S16}: operates on UCU\_SINT16 operands. |
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\emph{Abs}: absolute value. |
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\emph{Bounded}: bounded. |
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\end{list} |
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|
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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\subsection[\emph{UcuBaS16DiffBoundedRxx(\protect\mbox{\protect$\cdot$})}] |
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{\emph{UcuBaS16DiffBoundedRxx(\protect\mbox{\protect\boldmath $\cdot$})}} |
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\label{cbaf0:sscf1:sfss0} |
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|
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\index{UcuBaS16DiffBoundedRxx()@\emph{UcuBaS16DiffBoundedRxx($\cdot$)}}% |
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|
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\noindent\textbf{PROTOTYPE} |
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\begin {list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item |
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\begin{verbatim} |
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UCU_SINT16 UcuBaS16DiffBoundedRxx(UCU_SINT16 x1, UCU_SINT16 x2) |
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\end{verbatim} |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{SYNOPSIS} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item Calculates $x_1-x_2$, clipped into $[-32768, 32767]$. |
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\item The mapping performed by this function can also be expressed as: |
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|
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\begin{equation} |
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\label{eq:cbaf0:sscf1:sfss0:01} |
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f(x_1, x_2) = min(max(x_1 - x_2, -32768), 32767) . |
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\end{equation} |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{INPUTS} |
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\begin{list}{}{\setlength{\leftmargin}{0.5in}\setlength{\itemindent}{-0.25in}\setlength{\topsep}{0.0in}\setlength{\partopsep}{0.0in}} |
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\item \emph{\textbf{x1}}, \emph{\textbf{x2}}\\ |
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The arguments whose bounded difference is to be calculated. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{OUTPUT} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item $min(max(x_1 - x_2, -32768), 32767)$. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{INTERRUPT COMPATIBILITY} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item This function may be used from both non-ISR and ISR software. |
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\item This function is thread-safe. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{EXECUTION TIME} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item TBD. |
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\end{list} |
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\vspace{2.8ex} |
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|
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\noindent\textbf{FUNCTION NAME MNEMONIC} |
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\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |
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\item \emph{S16}: operates on UCU\_SINT16 operands. |
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\emph{Diff}: difference. |
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\emph{Bounded}: bounded. |
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\end{list} |
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|
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|
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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\noindent\begin{figure}[!b] |
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\noindent\rule[-0.25in]{\textwidth}{1pt} |
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\begin{tiny} |
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\begin{verbatim} |
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$RCSfile: c_baf0.tex,v $ |
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$Source: /home/dashley/cvsrep/uculib01/uculib01/doc/manual/c_baf0/c_baf0.tex,v $ |
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$Revision: 1.13 $ |
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$Author: dashley $ |
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$Date: 2010/04/16 19:05:26 $ |
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\end{verbatim} |
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\end{tiny} |
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\noindent\rule[0.25in]{\textwidth}{1pt} |
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\end{figure} |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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%$Log: c_baf0.tex,v $ |
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%Revision 1.13 2010/04/16 19:05:26 dashley |
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%Unimplemented absolute function removed. |
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% |
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%Revision 1.12 2010/04/15 17:57:33 dashley |
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%Exponent error corrected. |
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% |
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%Revision 1.11 2010/04/15 17:54:10 dashley |
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%Addition of UcuBaS32AbsBoundedRxx() function. |
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% |
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%Revision 1.10 2010/03/21 05:10:39 dashley |
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%Status updated. |
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% |
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%Revision 1.9 2010/03/18 16:40:45 dashley |
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%Edits. |
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%Revision 1.8 2010/03/18 14:05:13 dashley |
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%Edits. |
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%Revision 1.7 2010/03/18 13:15:48 dashley |
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%Function implementation status updated. |
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%Revision 1.6 2010/03/17 23:54:27 dashley |
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%Addition of functions. |
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%Revision 1.5 2010/02/18 17:05:57 dashley |
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%Edits. |
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%Revision 1.4 2010/01/29 01:44:44 dashley |
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%Addition of UcuAtU16CmpDiffAbsGtRxx() function. |
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% |
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%Revision 1.3 2010/01/28 21:56:55 dashley |
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%Addition of the UcuBaS8DiffBoundedRxx() function. |
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% |
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%Revision 1.2 2010/01/28 21:18:32 dashley |
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%a)Chapter start quotes removed. |
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%b)Aesthetic comment line added at the bottom of most files. |
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% |
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%Revision 1.1 2007/10/08 18:02:27 dtashley |
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%Initial checkin. |
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% |
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%End of $RCSfile: c_baf0.tex,v $. |
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
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