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1 | %$Header: /home/dashley/cvsrep/uculib01/uculib01/doc/manual/c_laf0/c_laf0.tex,v 1.7 2010/05/12 18:56:18 dashley Exp $ |

2 | |

3 | \chapter[Large-Operand and Extended-Precision Arithmetic Functions] |

4 | {Large-Operand and Extended-Precision Arithmetic Functions} |

5 | |

6 | \chaptermark{Large-Operand and Extended-Precision} |

7 | |

8 | \label{claf0} |

9 | |

10 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

11 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

12 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

13 | \section{Introduction and Overview} |

14 | \label{claf0:siov0} |

15 | |

16 | |

17 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

18 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

19 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

20 | \section{Unsigned Integer Division Functions} |

21 | \label{claf0:suid0} |

22 | |

23 | TBD. |

24 | |

25 | |

26 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

27 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

28 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

29 | %\subsection[\emph{UcuLoU32U64U32DivQFRxn(\protect\mbox{\protect$\cdot$})}] |

30 | % {\emph{UcuLoU32U64U32DivQFRxn(\protect\mbox{\protect\boldmath $\cdot$})}} |

31 | %\label{claf0:suid0:sdsf0} |

32 | % |

33 | %\index{UcuLoU32U64U32DivQFRxn()@\emph{UcuLoU32U64U32DivQFRxn($\cdot$)}}% |

34 | % |

35 | %\noindent\textbf{PROTOTYPE} |

36 | %\begin {list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

37 | %\item |

38 | %\begin{verbatim} |

39 | %void UcuLoU32U64U32DivQFRxn( |

40 | % UCU_UINT32 *out_quotient, |

41 | % const UCU_UNION64 *in_dividend, |

42 | % const UCU_UINT32 *in_divisor |

43 | % ) |

44 | %\end{verbatim} |

45 | %\end{list} |

46 | %\vspace{2.8ex} |

47 | % |

48 | %\noindent\textbf{SYNOPSIS} |

49 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

50 | %\item Calculates |

51 | % |

52 | % \begin{equation} |

53 | % *out\_quotient = \left\lfloor \frac{*in\_dividend}{*in\_divisor} \right\rfloor |

54 | % \end{equation} |

55 | % |

56 | % using a 32-iteration classic shift/compare/subtract division |

57 | % algorithm where it is known in advance that the quotient will not exceed 32 bits.\footnote{The |

58 | % general case of division of a 64-bit unsigned integer dividend by a 32-bit unsigned integer |

59 | % divisor may produce up to a 64-bit unsigned integer quotient. This function is not a |

60 | % general division function and should only be used when it is known that the quotient |

61 | % cannot exceed 32 bits.} |

62 | %\end{list} |

63 | %\vspace{2.8ex} |

64 | % |

65 | %\noindent\textbf{INPUT} |

66 | %\begin{list}{}{\setlength{\leftmargin}{0.5in}\setlength{\itemindent}{-0.25in}\setlength{\topsep}{0.0in}\setlength{\partopsep}{0.0in}} |

67 | %\item \emph{\textbf{in\_dividend}}\\ |

68 | % Pointer to a buffer containing the 64-bit unsigned integer dividend. |

69 | % The buffer is not modified by the function. |

70 | % |

71 | % This pointer may not be NULL or otherwise invalid. |

72 | % |

73 | % This buffer may not be coincident with the \emph{*in\_quotient} or |

74 | % \emph{*in\_divisor} buffers. |

75 | %\item \emph{\textbf{in\_divisor}}\\ |

76 | % Pointer to a buffer containing the 32-bit unsigned integer divisor. |

77 | % The buffer is not modified by the function. |

78 | % |

79 | % This pointer may not be NULL or otherwise invalid. |

80 | % |

81 | % This buffer may not be coincident with the \emph{*in\_quotient} or |

82 | % \emph{*in\_dividend} buffers. |

83 | %\end{list} |

84 | %\vspace{2.8ex} |

85 | % |

86 | %\noindent\textbf{OUTPUT} |

87 | %\begin{list}{}{\setlength{\leftmargin}{0.5in}\setlength{\itemindent}{-0.25in}\setlength{\topsep}{0.0in}\setlength{\partopsep}{0.0in}} |

88 | %\item \emph{\textbf{out\_quotient}}\\ |

89 | % Pointer to a buffer that will be assigned with the quotient. |

90 | % |

91 | % This pointer may not be NULL or otherwise invalid. |

92 | % |

93 | % This buffer may not be coincident with the \emph{*in\_dividend} or |

94 | % \emph{*in\_divisor} buffers. |

95 | %\end{list} |

96 | %\vspace{2.8ex} |

97 | % |

98 | %\noindent\textbf{INTERRUPT COMPATIBILITY} |

99 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

100 | %\item This function may be used from both non-ISR and ISR software. |

101 | %\item This function is thread-safe. |

102 | %\item This function does not ensure atomic access to the buffers pointed to, so |

103 | % it is not thread-safe when processes in different threads use this |

104 | % function to access the \emph{same} buffer(s). |

105 | %\end{list} |

106 | %\vspace{2.8ex} |

107 | % |

108 | %\noindent\textbf{EXECUTION TIME} |

109 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

110 | %\item TBD. |

111 | %\end{list} |

112 | %\vspace{2.8ex} |

113 | % |

114 | %\noindent\textbf{FUNCTION NAME MNEMONIC} |

115 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

116 | %\item \emph{U32}: produces a UCU\_UINT32 result. |

117 | % \emph{U64}: accepts an unsigned 64-bit argument as input. |

118 | % \emph{U32}: accepts a UCU\_UINT32 argument as input. |

119 | % \emph{Div}: division. |

120 | % \emph{Q}: produces only a quotient (no remainder). |

121 | % \emph{F}: the quotient is rounded down, consistent with the traditional |

122 | % \emph{floor($\cdot$)} function. |

123 | %\end{list} |

124 | % |

125 | % |

126 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

127 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

128 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

129 | \section{Unsigned Integer Squaring Functions} |

130 | \label{claf0:ssqf0} |

131 | |

132 | TBD. |

133 | |

134 | |

135 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

136 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

137 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

138 | %\subsection[\emph{UcuLoU64U32SquareInPlaceRxn(\protect\mbox{\protect$\cdot$})}] |

139 | % {\emph{UcuLoU64U32SquareInPlaceRxn(\protect\mbox{\protect\boldmath $\cdot$})}} |

140 | %\label{claf0:ssqf0:susf0} |

141 | % |

142 | %\index{UcuLoU64U32SquareInPlaceRxn()@\emph{UcuLoU64U32SquareInPlaceRxn($\cdot$)}}% |

143 | % |

144 | %\noindent\textbf{PROTOTYPE} |

145 | %\begin {list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

146 | %\item |

147 | %\begin{verbatim} |

148 | %void UcuLoU64U32SquareInPlaceRxn( UCU_UNION64 *in_u64 ) |

149 | %\end{verbatim} |

150 | %\end{list} |

151 | %\vspace{2.8ex} |

152 | % |

153 | %\noindent\textbf{SYNOPSIS} |

154 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

155 | %\item |

156 | %Calculates the square of a 32-bit unsigned integer, yielding a |

157 | %64-bit unsigned integer result. The squaring is done ``in place'', meaning that the |

158 | %32-bit integer to be squared is placed right-aligned into |

159 | %a 64-bit buffer, and when the function returns, the same buffer contains the |

160 | %result. |

161 | %\end{list} |

162 | %\vspace{2.8ex} |

163 | % |

164 | %\noindent\textbf{INPUT} |

165 | %\begin{list}{}{\setlength{\leftmargin}{0.5in}\setlength{\itemindent}{-0.25in}\setlength{\topsep}{0.0in}\setlength{\partopsep}{0.0in}} |

166 | %\item \emph{\textbf{in\_u64}}\\ |

167 | % Pointer to a buffer containing the unsigned 32-bit integer whose square is to be calculated. |

168 | % The integer should be right-aligned (placed in the least significant |

169 | % bit positions of the buffer). |

170 | % |

171 | % The 32 most significant bit positions of the buffer are ignored and |

172 | % overwritten, and will not affect the calculation result. These |

173 | % bit positions do not need to be assigned prior to the function call. |

174 | % |

175 | % This pointer may not be NULL or otherwise invalid. |

176 | %\end{list} |

177 | %\vspace{2.8ex} |

178 | % |

179 | %\noindent\textbf{OUTPUT} |

180 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

181 | %\item The buffer pointed to by \emph{in\_u64} |

182 | % will contain the unsigned 64-bit integer square of the unsigned 32-bit integer |

183 | % provided in the rightmost position in the buffer before the function call. |

184 | % |

185 | % The original unsigned 32-bit integer provided is overwritten by the result. |

186 | %\end{list} |

187 | %\vspace{2.8ex} |

188 | % |

189 | %\noindent\textbf{INTERRUPT COMPATIBILITY} |

190 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

191 | %\item This function may be used from both non-ISR and ISR software. |

192 | %\item This function is thread-safe. |

193 | %\item This function does not ensure atomic access to \emph{*in\_u64}, so |

194 | % it is not thread-safe when processes in different threads use this |

195 | % function to access the \emph{same} buffer. |

196 | %\end{list} |

197 | %\vspace{2.8ex} |

198 | % |

199 | %\noindent\textbf{EXECUTION TIME} |

200 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

201 | %\item TBD. |

202 | %\end{list} |

203 | %\vspace{2.8ex} |

204 | % |

205 | %\noindent\textbf{FUNCTION NAME MNEMONIC} |

206 | %\begin{list}{}{\setlength{\leftmargin}{0.25in}\setlength{\topsep}{0.0in}} |

207 | %\item \emph{U64}: produces an unsigned 64-bit result. |

208 | % \emph{U32}: accepts a UCU\_UINT32 as input. |

209 | % \emph{Square}: calculates the square. |

210 | % \emph{InPlace}: calculates ``in place'' (uses the same input and output buffer). |

211 | %\end{list} |

212 | % |

213 | % |

214 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

215 | \noindent\begin{figure}[!b] |

216 | \noindent\rule[-0.25in]{\textwidth}{1pt} |

217 | \begin{tiny} |

218 | \begin{verbatim} |

219 | $RCSfile: c_laf0.tex,v $ |

220 | $Source: /home/dashley/cvsrep/uculib01/uculib01/doc/manual/c_laf0/c_laf0.tex,v $ |

221 | $Revision: 1.7 $ |

222 | $Author: dashley $ |

223 | $Date: 2010/05/12 18:56:18 $ |

224 | \end{verbatim} |

225 | \end{tiny} |

226 | \noindent\rule[0.25in]{\textwidth}{1pt} |

227 | \end{figure} |

228 | |

229 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

230 | %$Log: c_laf0.tex,v $ |

231 | %Revision 1.7 2010/05/12 18:56:18 dashley |

232 | %Removal of UcuLoU64U32SquareInPlaceRxn() function. |

233 | % |

234 | %Revision 1.6 2010/05/12 18:41:46 dashley |

235 | %Removal of UcuLoU32U64U32DivQFRxn() function. |

236 | % |

237 | %Revision 1.5 2010/04/15 17:09:38 dashley |

238 | %Addition of UcuLoU32U64U32DivQFRxn() function. |

239 | % |

240 | %Revision 1.4 2010/04/15 15:56:41 dashley |

241 | %Addition of UcuU64U32SquareInPlaceRxn() function. |

242 | % |

243 | %Revision 1.3 2010/01/28 21:18:32 dashley |

244 | %a)Chapter start quotes removed. |

245 | %b)Aesthetic comment line added at the bottom of most files. |

246 | % |

247 | %Revision 1.2 2010/01/24 05:37:27 dashley |

248 | %Addition and reorganization of content. |

249 | % |

250 | %Revision 1.1 2007/10/08 18:07:42 dtashley |

251 | %Initial checkin. |

252 | % |

253 | %End of $RCSfile: c_laf0.tex,v $. |

254 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |

255 |

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