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  61. <a name="Decimal-float-library-routines"></a>
  62. <div class="header">
  63. <p>
  64. Next: <a href="Fixed_002dpoint-fractional-library-routines.html#Fixed_002dpoint-fractional-library-routines" accesskey="n" rel="next">Fixed-point fractional library routines</a>, Previous: <a href="Soft-float-library-routines.html#Soft-float-library-routines" accesskey="p" rel="prev">Soft float library routines</a>, Up: <a href="Libgcc.html#Libgcc" accesskey="u" rel="up">Libgcc</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="Option-Index.html#Option-Index" title="Index" rel="index">Index</a>]</p>
  65. </div>
  66. <hr>
  67. <a name="Routines-for-decimal-floating-point-emulation"></a>
  68. <h3 class="section">4.3 Routines for decimal floating point emulation</h3>
  69. <a name="index-decimal-float-library"></a>
  70. <a name="index-IEEE-754_002d2008"></a>
  71. <p>The software decimal floating point library implements IEEE 754-2008
  72. decimal floating point arithmetic and is only activated on selected
  73. targets.
  74. </p>
  75. <p>The software decimal floating point library supports either DPD
  76. (Densely Packed Decimal) or BID (Binary Integer Decimal) encoding
  77. as selected at configure time.
  78. </p>
  79. <a name="Arithmetic-functions-2"></a>
  80. <h4 class="subsection">4.3.1 Arithmetic functions</h4>
  81. <dl>
  82. <dt><a name="index-_005f_005fdpd_005faddsd3"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_addsd3</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  83. <dt><a name="index-_005f_005fbid_005faddsd3"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_addsd3</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  84. <dt><a name="index-_005f_005fdpd_005fadddd3"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_adddd3</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  85. <dt><a name="index-_005f_005fbid_005fadddd3"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_adddd3</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  86. <dt><a name="index-_005f_005fdpd_005faddtd3"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_addtd3</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  87. <dt><a name="index-_005f_005fbid_005faddtd3"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_addtd3</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  88. <dd><p>These functions return the sum of <var>a</var> and <var>b</var>.
  89. </p></dd></dl>
  90. <dl>
  91. <dt><a name="index-_005f_005fdpd_005fsubsd3"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_subsd3</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  92. <dt><a name="index-_005f_005fbid_005fsubsd3"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_subsd3</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  93. <dt><a name="index-_005f_005fdpd_005fsubdd3"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_subdd3</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  94. <dt><a name="index-_005f_005fbid_005fsubdd3"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_subdd3</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  95. <dt><a name="index-_005f_005fdpd_005fsubtd3"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_subtd3</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  96. <dt><a name="index-_005f_005fbid_005fsubtd3"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_subtd3</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  97. <dd><p>These functions return the difference between <var>b</var> and <var>a</var>;
  98. that is, <em><var>a</var> - <var>b</var></em><!-- /@w -->.
  99. </p></dd></dl>
  100. <dl>
  101. <dt><a name="index-_005f_005fdpd_005fmulsd3"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_mulsd3</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  102. <dt><a name="index-_005f_005fbid_005fmulsd3"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_mulsd3</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  103. <dt><a name="index-_005f_005fdpd_005fmuldd3"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_muldd3</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  104. <dt><a name="index-_005f_005fbid_005fmuldd3"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_muldd3</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  105. <dt><a name="index-_005f_005fdpd_005fmultd3"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_multd3</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  106. <dt><a name="index-_005f_005fbid_005fmultd3"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_multd3</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  107. <dd><p>These functions return the product of <var>a</var> and <var>b</var>.
  108. </p></dd></dl>
  109. <dl>
  110. <dt><a name="index-_005f_005fdpd_005fdivsd3"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_divsd3</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  111. <dt><a name="index-_005f_005fbid_005fdivsd3"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_divsd3</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  112. <dt><a name="index-_005f_005fdpd_005fdivdd3"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_divdd3</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  113. <dt><a name="index-_005f_005fbid_005fdivdd3"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_divdd3</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  114. <dt><a name="index-_005f_005fdpd_005fdivtd3"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_divtd3</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  115. <dt><a name="index-_005f_005fbid_005fdivtd3"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_divtd3</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  116. <dd><p>These functions return the quotient of <var>a</var> and <var>b</var>; that is,
  117. <em><var>a</var> / <var>b</var></em><!-- /@w -->.
  118. </p></dd></dl>
  119. <dl>
  120. <dt><a name="index-_005f_005fdpd_005fnegsd2"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_negsd2</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  121. <dt><a name="index-_005f_005fbid_005fnegsd2"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_negsd2</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  122. <dt><a name="index-_005f_005fdpd_005fnegdd2"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_negdd2</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  123. <dt><a name="index-_005f_005fbid_005fnegdd2"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_negdd2</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  124. <dt><a name="index-_005f_005fdpd_005fnegtd2"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_negtd2</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  125. <dt><a name="index-_005f_005fbid_005fnegtd2"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_negtd2</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  126. <dd><p>These functions return the negation of <var>a</var>. They simply flip the
  127. sign bit, so they can produce negative zero and negative NaN.
  128. </p></dd></dl>
  129. <a name="Conversion-functions-1"></a>
  130. <h4 class="subsection">4.3.2 Conversion functions</h4>
  131. <dl>
  132. <dt><a name="index-_005f_005fdpd_005fextendsddd2"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_extendsddd2</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  133. <dt><a name="index-_005f_005fbid_005fextendsddd2"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_extendsddd2</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  134. <dt><a name="index-_005f_005fdpd_005fextendsdtd2"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_extendsdtd2</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  135. <dt><a name="index-_005f_005fbid_005fextendsdtd2"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_extendsdtd2</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  136. <dt><a name="index-_005f_005fdpd_005fextendddtd2"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_extendddtd2</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  137. <dt><a name="index-_005f_005fbid_005fextendddtd2"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_extendddtd2</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  138. <dt><a name="index-_005f_005fdpd_005ftruncddsd2"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_truncddsd2</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  139. <dt><a name="index-_005f_005fbid_005ftruncddsd2"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_truncddsd2</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  140. <dt><a name="index-_005f_005fdpd_005ftrunctdsd2"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_trunctdsd2</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  141. <dt><a name="index-_005f_005fbid_005ftrunctdsd2"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_trunctdsd2</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  142. <dt><a name="index-_005f_005fdpd_005ftrunctddd2"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_trunctddd2</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  143. <dt><a name="index-_005f_005fbid_005ftrunctddd2"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_trunctddd2</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  144. <dd><p>These functions convert the value <var>a</var> from one decimal floating type
  145. to another.
  146. </p></dd></dl>
  147. <dl>
  148. <dt><a name="index-_005f_005fdpd_005fextendsfdd"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_extendsfdd</strong> <em>(float <var>a</var>)</em></dt>
  149. <dt><a name="index-_005f_005fbid_005fextendsfdd"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_extendsfdd</strong> <em>(float <var>a</var>)</em></dt>
  150. <dt><a name="index-_005f_005fdpd_005fextendsftd"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_extendsftd</strong> <em>(float <var>a</var>)</em></dt>
  151. <dt><a name="index-_005f_005fbid_005fextendsftd"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_extendsftd</strong> <em>(float <var>a</var>)</em></dt>
  152. <dt><a name="index-_005f_005fdpd_005fextenddftd"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_extenddftd</strong> <em>(double <var>a</var>)</em></dt>
  153. <dt><a name="index-_005f_005fbid_005fextenddftd"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_extenddftd</strong> <em>(double <var>a</var>)</em></dt>
  154. <dt><a name="index-_005f_005fdpd_005fextendxftd"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_extendxftd</strong> <em>(long double <var>a</var>)</em></dt>
  155. <dt><a name="index-_005f_005fbid_005fextendxftd"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_extendxftd</strong> <em>(long double <var>a</var>)</em></dt>
  156. <dt><a name="index-_005f_005fdpd_005ftruncdfsd"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_truncdfsd</strong> <em>(double <var>a</var>)</em></dt>
  157. <dt><a name="index-_005f_005fbid_005ftruncdfsd"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_truncdfsd</strong> <em>(double <var>a</var>)</em></dt>
  158. <dt><a name="index-_005f_005fdpd_005ftruncxfsd"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_truncxfsd</strong> <em>(long double <var>a</var>)</em></dt>
  159. <dt><a name="index-_005f_005fbid_005ftruncxfsd"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_truncxfsd</strong> <em>(long double <var>a</var>)</em></dt>
  160. <dt><a name="index-_005f_005fdpd_005ftrunctfsd"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_trunctfsd</strong> <em>(long double <var>a</var>)</em></dt>
  161. <dt><a name="index-_005f_005fbid_005ftrunctfsd"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_trunctfsd</strong> <em>(long double <var>a</var>)</em></dt>
  162. <dt><a name="index-_005f_005fdpd_005ftruncxfdd"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_truncxfdd</strong> <em>(long double <var>a</var>)</em></dt>
  163. <dt><a name="index-_005f_005fbid_005ftruncxfdd"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_truncxfdd</strong> <em>(long double <var>a</var>)</em></dt>
  164. <dt><a name="index-_005f_005fdpd_005ftrunctfdd"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_trunctfdd</strong> <em>(long double <var>a</var>)</em></dt>
  165. <dt><a name="index-_005f_005fbid_005ftrunctfdd"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_trunctfdd</strong> <em>(long double <var>a</var>)</em></dt>
  166. <dd><p>These functions convert the value of <var>a</var> from a binary floating type
  167. to a decimal floating type of a different size.
  168. </p></dd></dl>
  169. <dl>
  170. <dt><a name="index-_005f_005fdpd_005ftruncddsf"></a>Runtime Function: <em>float</em> <strong>__dpd_truncddsf</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  171. <dt><a name="index-_005f_005fbid_005ftruncddsf"></a>Runtime Function: <em>float</em> <strong>__bid_truncddsf</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  172. <dt><a name="index-_005f_005fdpd_005ftrunctdsf"></a>Runtime Function: <em>float</em> <strong>__dpd_trunctdsf</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  173. <dt><a name="index-_005f_005fbid_005ftrunctdsf"></a>Runtime Function: <em>float</em> <strong>__bid_trunctdsf</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  174. <dt><a name="index-_005f_005fdpd_005fextendsddf"></a>Runtime Function: <em>double</em> <strong>__dpd_extendsddf</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  175. <dt><a name="index-_005f_005fbid_005fextendsddf"></a>Runtime Function: <em>double</em> <strong>__bid_extendsddf</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  176. <dt><a name="index-_005f_005fdpd_005ftrunctddf"></a>Runtime Function: <em>double</em> <strong>__dpd_trunctddf</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  177. <dt><a name="index-_005f_005fbid_005ftrunctddf"></a>Runtime Function: <em>double</em> <strong>__bid_trunctddf</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  178. <dt><a name="index-_005f_005fdpd_005fextendsdxf"></a>Runtime Function: <em>long double</em> <strong>__dpd_extendsdxf</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  179. <dt><a name="index-_005f_005fbid_005fextendsdxf"></a>Runtime Function: <em>long double</em> <strong>__bid_extendsdxf</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  180. <dt><a name="index-_005f_005fdpd_005fextendddxf"></a>Runtime Function: <em>long double</em> <strong>__dpd_extendddxf</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  181. <dt><a name="index-_005f_005fbid_005fextendddxf"></a>Runtime Function: <em>long double</em> <strong>__bid_extendddxf</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  182. <dt><a name="index-_005f_005fdpd_005ftrunctdxf"></a>Runtime Function: <em>long double</em> <strong>__dpd_trunctdxf</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  183. <dt><a name="index-_005f_005fbid_005ftrunctdxf"></a>Runtime Function: <em>long double</em> <strong>__bid_trunctdxf</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  184. <dt><a name="index-_005f_005fdpd_005fextendsdtf"></a>Runtime Function: <em>long double</em> <strong>__dpd_extendsdtf</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  185. <dt><a name="index-_005f_005fbid_005fextendsdtf"></a>Runtime Function: <em>long double</em> <strong>__bid_extendsdtf</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  186. <dt><a name="index-_005f_005fdpd_005fextendddtf"></a>Runtime Function: <em>long double</em> <strong>__dpd_extendddtf</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  187. <dt><a name="index-_005f_005fbid_005fextendddtf"></a>Runtime Function: <em>long double</em> <strong>__bid_extendddtf</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  188. <dd><p>These functions convert the value of <var>a</var> from a decimal floating type
  189. to a binary floating type of a different size.
  190. </p></dd></dl>
  191. <dl>
  192. <dt><a name="index-_005f_005fdpd_005fextendsfsd"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_extendsfsd</strong> <em>(float <var>a</var>)</em></dt>
  193. <dt><a name="index-_005f_005fbid_005fextendsfsd"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_extendsfsd</strong> <em>(float <var>a</var>)</em></dt>
  194. <dt><a name="index-_005f_005fdpd_005fextenddfdd"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_extenddfdd</strong> <em>(double <var>a</var>)</em></dt>
  195. <dt><a name="index-_005f_005fbid_005fextenddfdd"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_extenddfdd</strong> <em>(double <var>a</var>)</em></dt>
  196. <dt><a name="index-_005f_005fdpd_005fextendtftd"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_extendtftd</strong> <em>(long double <var>a</var>)</em></dt>
  197. <dt><a name="index-_005f_005fbid_005fextendtftd"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_extendtftd</strong> <em>(long double <var>a</var>)</em></dt>
  198. <dt><a name="index-_005f_005fdpd_005ftruncsdsf"></a>Runtime Function: <em>float</em> <strong>__dpd_truncsdsf</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  199. <dt><a name="index-_005f_005fbid_005ftruncsdsf"></a>Runtime Function: <em>float</em> <strong>__bid_truncsdsf</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  200. <dt><a name="index-_005f_005fdpd_005ftruncdddf"></a>Runtime Function: <em>double</em> <strong>__dpd_truncdddf</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  201. <dt><a name="index-_005f_005fbid_005ftruncdddf"></a>Runtime Function: <em>double</em> <strong>__bid_truncdddf</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  202. <dt><a name="index-_005f_005fdpd_005ftrunctdtf"></a>Runtime Function: <em>long double</em> <strong>__dpd_trunctdtf</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  203. <dt><a name="index-_005f_005fbid_005ftrunctdtf"></a>Runtime Function: <em>long double</em> <strong>__bid_trunctdtf</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  204. <dd><p>These functions convert the value of <var>a</var> between decimal and
  205. binary floating types of the same size.
  206. </p></dd></dl>
  207. <dl>
  208. <dt><a name="index-_005f_005fdpd_005ffixsdsi"></a>Runtime Function: <em>int</em> <strong>__dpd_fixsdsi</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  209. <dt><a name="index-_005f_005fbid_005ffixsdsi"></a>Runtime Function: <em>int</em> <strong>__bid_fixsdsi</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  210. <dt><a name="index-_005f_005fdpd_005ffixddsi"></a>Runtime Function: <em>int</em> <strong>__dpd_fixddsi</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  211. <dt><a name="index-_005f_005fbid_005ffixddsi"></a>Runtime Function: <em>int</em> <strong>__bid_fixddsi</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  212. <dt><a name="index-_005f_005fdpd_005ffixtdsi"></a>Runtime Function: <em>int</em> <strong>__dpd_fixtdsi</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  213. <dt><a name="index-_005f_005fbid_005ffixtdsi"></a>Runtime Function: <em>int</em> <strong>__bid_fixtdsi</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  214. <dd><p>These functions convert <var>a</var> to a signed integer.
  215. </p></dd></dl>
  216. <dl>
  217. <dt><a name="index-_005f_005fdpd_005ffixsddi"></a>Runtime Function: <em>long</em> <strong>__dpd_fixsddi</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  218. <dt><a name="index-_005f_005fbid_005ffixsddi"></a>Runtime Function: <em>long</em> <strong>__bid_fixsddi</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  219. <dt><a name="index-_005f_005fdpd_005ffixdddi"></a>Runtime Function: <em>long</em> <strong>__dpd_fixdddi</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  220. <dt><a name="index-_005f_005fbid_005ffixdddi"></a>Runtime Function: <em>long</em> <strong>__bid_fixdddi</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  221. <dt><a name="index-_005f_005fdpd_005ffixtddi"></a>Runtime Function: <em>long</em> <strong>__dpd_fixtddi</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  222. <dt><a name="index-_005f_005fbid_005ffixtddi"></a>Runtime Function: <em>long</em> <strong>__bid_fixtddi</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  223. <dd><p>These functions convert <var>a</var> to a signed long.
  224. </p></dd></dl>
  225. <dl>
  226. <dt><a name="index-_005f_005fdpd_005ffixunssdsi"></a>Runtime Function: <em>unsigned int</em> <strong>__dpd_fixunssdsi</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  227. <dt><a name="index-_005f_005fbid_005ffixunssdsi"></a>Runtime Function: <em>unsigned int</em> <strong>__bid_fixunssdsi</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  228. <dt><a name="index-_005f_005fdpd_005ffixunsddsi"></a>Runtime Function: <em>unsigned int</em> <strong>__dpd_fixunsddsi</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  229. <dt><a name="index-_005f_005fbid_005ffixunsddsi"></a>Runtime Function: <em>unsigned int</em> <strong>__bid_fixunsddsi</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  230. <dt><a name="index-_005f_005fdpd_005ffixunstdsi"></a>Runtime Function: <em>unsigned int</em> <strong>__dpd_fixunstdsi</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  231. <dt><a name="index-_005f_005fbid_005ffixunstdsi"></a>Runtime Function: <em>unsigned int</em> <strong>__bid_fixunstdsi</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  232. <dd><p>These functions convert <var>a</var> to an unsigned integer. Negative values all become zero.
  233. </p></dd></dl>
  234. <dl>
  235. <dt><a name="index-_005f_005fdpd_005ffixunssddi"></a>Runtime Function: <em>unsigned long</em> <strong>__dpd_fixunssddi</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  236. <dt><a name="index-_005f_005fbid_005ffixunssddi"></a>Runtime Function: <em>unsigned long</em> <strong>__bid_fixunssddi</strong> <em>(_Decimal32 <var>a</var>)</em></dt>
  237. <dt><a name="index-_005f_005fdpd_005ffixunsdddi"></a>Runtime Function: <em>unsigned long</em> <strong>__dpd_fixunsdddi</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  238. <dt><a name="index-_005f_005fbid_005ffixunsdddi"></a>Runtime Function: <em>unsigned long</em> <strong>__bid_fixunsdddi</strong> <em>(_Decimal64 <var>a</var>)</em></dt>
  239. <dt><a name="index-_005f_005fdpd_005ffixunstddi"></a>Runtime Function: <em>unsigned long</em> <strong>__dpd_fixunstddi</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  240. <dt><a name="index-_005f_005fbid_005ffixunstddi"></a>Runtime Function: <em>unsigned long</em> <strong>__bid_fixunstddi</strong> <em>(_Decimal128 <var>a</var>)</em></dt>
  241. <dd><p>These functions convert <var>a</var> to an unsigned long. Negative values
  242. all become zero.
  243. </p></dd></dl>
  244. <dl>
  245. <dt><a name="index-_005f_005fdpd_005ffloatsisd"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_floatsisd</strong> <em>(int <var>i</var>)</em></dt>
  246. <dt><a name="index-_005f_005fbid_005ffloatsisd"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_floatsisd</strong> <em>(int <var>i</var>)</em></dt>
  247. <dt><a name="index-_005f_005fdpd_005ffloatsidd"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_floatsidd</strong> <em>(int <var>i</var>)</em></dt>
  248. <dt><a name="index-_005f_005fbid_005ffloatsidd"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_floatsidd</strong> <em>(int <var>i</var>)</em></dt>
  249. <dt><a name="index-_005f_005fdpd_005ffloatsitd"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_floatsitd</strong> <em>(int <var>i</var>)</em></dt>
  250. <dt><a name="index-_005f_005fbid_005ffloatsitd"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_floatsitd</strong> <em>(int <var>i</var>)</em></dt>
  251. <dd><p>These functions convert <var>i</var>, a signed integer, to decimal floating point.
  252. </p></dd></dl>
  253. <dl>
  254. <dt><a name="index-_005f_005fdpd_005ffloatdisd"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_floatdisd</strong> <em>(long <var>i</var>)</em></dt>
  255. <dt><a name="index-_005f_005fbid_005ffloatdisd"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_floatdisd</strong> <em>(long <var>i</var>)</em></dt>
  256. <dt><a name="index-_005f_005fdpd_005ffloatdidd"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_floatdidd</strong> <em>(long <var>i</var>)</em></dt>
  257. <dt><a name="index-_005f_005fbid_005ffloatdidd"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_floatdidd</strong> <em>(long <var>i</var>)</em></dt>
  258. <dt><a name="index-_005f_005fdpd_005ffloatditd"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_floatditd</strong> <em>(long <var>i</var>)</em></dt>
  259. <dt><a name="index-_005f_005fbid_005ffloatditd"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_floatditd</strong> <em>(long <var>i</var>)</em></dt>
  260. <dd><p>These functions convert <var>i</var>, a signed long, to decimal floating point.
  261. </p></dd></dl>
  262. <dl>
  263. <dt><a name="index-_005f_005fdpd_005ffloatunssisd"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_floatunssisd</strong> <em>(unsigned int <var>i</var>)</em></dt>
  264. <dt><a name="index-_005f_005fbid_005ffloatunssisd"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_floatunssisd</strong> <em>(unsigned int <var>i</var>)</em></dt>
  265. <dt><a name="index-_005f_005fdpd_005ffloatunssidd"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_floatunssidd</strong> <em>(unsigned int <var>i</var>)</em></dt>
  266. <dt><a name="index-_005f_005fbid_005ffloatunssidd"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_floatunssidd</strong> <em>(unsigned int <var>i</var>)</em></dt>
  267. <dt><a name="index-_005f_005fdpd_005ffloatunssitd"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_floatunssitd</strong> <em>(unsigned int <var>i</var>)</em></dt>
  268. <dt><a name="index-_005f_005fbid_005ffloatunssitd"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_floatunssitd</strong> <em>(unsigned int <var>i</var>)</em></dt>
  269. <dd><p>These functions convert <var>i</var>, an unsigned integer, to decimal floating point.
  270. </p></dd></dl>
  271. <dl>
  272. <dt><a name="index-_005f_005fdpd_005ffloatunsdisd"></a>Runtime Function: <em>_Decimal32</em> <strong>__dpd_floatunsdisd</strong> <em>(unsigned long <var>i</var>)</em></dt>
  273. <dt><a name="index-_005f_005fbid_005ffloatunsdisd"></a>Runtime Function: <em>_Decimal32</em> <strong>__bid_floatunsdisd</strong> <em>(unsigned long <var>i</var>)</em></dt>
  274. <dt><a name="index-_005f_005fdpd_005ffloatunsdidd"></a>Runtime Function: <em>_Decimal64</em> <strong>__dpd_floatunsdidd</strong> <em>(unsigned long <var>i</var>)</em></dt>
  275. <dt><a name="index-_005f_005fbid_005ffloatunsdidd"></a>Runtime Function: <em>_Decimal64</em> <strong>__bid_floatunsdidd</strong> <em>(unsigned long <var>i</var>)</em></dt>
  276. <dt><a name="index-_005f_005fdpd_005ffloatunsditd"></a>Runtime Function: <em>_Decimal128</em> <strong>__dpd_floatunsditd</strong> <em>(unsigned long <var>i</var>)</em></dt>
  277. <dt><a name="index-_005f_005fbid_005ffloatunsditd"></a>Runtime Function: <em>_Decimal128</em> <strong>__bid_floatunsditd</strong> <em>(unsigned long <var>i</var>)</em></dt>
  278. <dd><p>These functions convert <var>i</var>, an unsigned long, to decimal floating point.
  279. </p></dd></dl>
  280. <a name="Comparison-functions-2"></a>
  281. <h4 class="subsection">4.3.3 Comparison functions</h4>
  282. <dl>
  283. <dt><a name="index-_005f_005fdpd_005funordsd2"></a>Runtime Function: <em>int</em> <strong>__dpd_unordsd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  284. <dt><a name="index-_005f_005fbid_005funordsd2"></a>Runtime Function: <em>int</em> <strong>__bid_unordsd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  285. <dt><a name="index-_005f_005fdpd_005funorddd2"></a>Runtime Function: <em>int</em> <strong>__dpd_unorddd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  286. <dt><a name="index-_005f_005fbid_005funorddd2"></a>Runtime Function: <em>int</em> <strong>__bid_unorddd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  287. <dt><a name="index-_005f_005fdpd_005funordtd2"></a>Runtime Function: <em>int</em> <strong>__dpd_unordtd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  288. <dt><a name="index-_005f_005fbid_005funordtd2"></a>Runtime Function: <em>int</em> <strong>__bid_unordtd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  289. <dd><p>These functions return a nonzero value if either argument is NaN, otherwise 0.
  290. </p></dd></dl>
  291. <p>There is also a complete group of higher level functions which
  292. correspond directly to comparison operators. They implement the ISO C
  293. semantics for floating-point comparisons, taking NaN into account.
  294. Pay careful attention to the return values defined for each set.
  295. Under the hood, all of these routines are implemented as
  296. </p>
  297. <div class="smallexample">
  298. <pre class="smallexample"> if (__bid_unord<var>X</var>d2 (a, b))
  299. return <var>E</var>;
  300. return __bid_cmp<var>X</var>d2 (a, b);
  301. </pre></div>
  302. <p>where <var>E</var> is a constant chosen to give the proper behavior for
  303. NaN. Thus, the meaning of the return value is different for each set.
  304. Do not rely on this implementation; only the semantics documented
  305. below are guaranteed.
  306. </p>
  307. <dl>
  308. <dt><a name="index-_005f_005fdpd_005feqsd2"></a>Runtime Function: <em>int</em> <strong>__dpd_eqsd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  309. <dt><a name="index-_005f_005fbid_005feqsd2"></a>Runtime Function: <em>int</em> <strong>__bid_eqsd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  310. <dt><a name="index-_005f_005fdpd_005feqdd2"></a>Runtime Function: <em>int</em> <strong>__dpd_eqdd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  311. <dt><a name="index-_005f_005fbid_005feqdd2"></a>Runtime Function: <em>int</em> <strong>__bid_eqdd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  312. <dt><a name="index-_005f_005fdpd_005feqtd2"></a>Runtime Function: <em>int</em> <strong>__dpd_eqtd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  313. <dt><a name="index-_005f_005fbid_005feqtd2"></a>Runtime Function: <em>int</em> <strong>__bid_eqtd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  314. <dd><p>These functions return zero if neither argument is NaN, and <var>a</var> and
  315. <var>b</var> are equal.
  316. </p></dd></dl>
  317. <dl>
  318. <dt><a name="index-_005f_005fdpd_005fnesd2"></a>Runtime Function: <em>int</em> <strong>__dpd_nesd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  319. <dt><a name="index-_005f_005fbid_005fnesd2"></a>Runtime Function: <em>int</em> <strong>__bid_nesd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  320. <dt><a name="index-_005f_005fdpd_005fnedd2"></a>Runtime Function: <em>int</em> <strong>__dpd_nedd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  321. <dt><a name="index-_005f_005fbid_005fnedd2"></a>Runtime Function: <em>int</em> <strong>__bid_nedd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  322. <dt><a name="index-_005f_005fdpd_005fnetd2"></a>Runtime Function: <em>int</em> <strong>__dpd_netd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  323. <dt><a name="index-_005f_005fbid_005fnetd2"></a>Runtime Function: <em>int</em> <strong>__bid_netd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  324. <dd><p>These functions return a nonzero value if either argument is NaN, or
  325. if <var>a</var> and <var>b</var> are unequal.
  326. </p></dd></dl>
  327. <dl>
  328. <dt><a name="index-_005f_005fdpd_005fgesd2"></a>Runtime Function: <em>int</em> <strong>__dpd_gesd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  329. <dt><a name="index-_005f_005fbid_005fgesd2"></a>Runtime Function: <em>int</em> <strong>__bid_gesd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  330. <dt><a name="index-_005f_005fdpd_005fgedd2"></a>Runtime Function: <em>int</em> <strong>__dpd_gedd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  331. <dt><a name="index-_005f_005fbid_005fgedd2"></a>Runtime Function: <em>int</em> <strong>__bid_gedd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  332. <dt><a name="index-_005f_005fdpd_005fgetd2"></a>Runtime Function: <em>int</em> <strong>__dpd_getd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  333. <dt><a name="index-_005f_005fbid_005fgetd2"></a>Runtime Function: <em>int</em> <strong>__bid_getd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  334. <dd><p>These functions return a value greater than or equal to zero if
  335. neither argument is NaN, and <var>a</var> is greater than or equal to
  336. <var>b</var>.
  337. </p></dd></dl>
  338. <dl>
  339. <dt><a name="index-_005f_005fdpd_005fltsd2"></a>Runtime Function: <em>int</em> <strong>__dpd_ltsd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  340. <dt><a name="index-_005f_005fbid_005fltsd2"></a>Runtime Function: <em>int</em> <strong>__bid_ltsd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  341. <dt><a name="index-_005f_005fdpd_005fltdd2"></a>Runtime Function: <em>int</em> <strong>__dpd_ltdd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  342. <dt><a name="index-_005f_005fbid_005fltdd2"></a>Runtime Function: <em>int</em> <strong>__bid_ltdd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  343. <dt><a name="index-_005f_005fdpd_005flttd2"></a>Runtime Function: <em>int</em> <strong>__dpd_lttd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  344. <dt><a name="index-_005f_005fbid_005flttd2"></a>Runtime Function: <em>int</em> <strong>__bid_lttd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  345. <dd><p>These functions return a value less than zero if neither argument is
  346. NaN, and <var>a</var> is strictly less than <var>b</var>.
  347. </p></dd></dl>
  348. <dl>
  349. <dt><a name="index-_005f_005fdpd_005flesd2"></a>Runtime Function: <em>int</em> <strong>__dpd_lesd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  350. <dt><a name="index-_005f_005fbid_005flesd2"></a>Runtime Function: <em>int</em> <strong>__bid_lesd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  351. <dt><a name="index-_005f_005fdpd_005fledd2"></a>Runtime Function: <em>int</em> <strong>__dpd_ledd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  352. <dt><a name="index-_005f_005fbid_005fledd2"></a>Runtime Function: <em>int</em> <strong>__bid_ledd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  353. <dt><a name="index-_005f_005fdpd_005fletd2"></a>Runtime Function: <em>int</em> <strong>__dpd_letd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  354. <dt><a name="index-_005f_005fbid_005fletd2"></a>Runtime Function: <em>int</em> <strong>__bid_letd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  355. <dd><p>These functions return a value less than or equal to zero if neither
  356. argument is NaN, and <var>a</var> is less than or equal to <var>b</var>.
  357. </p></dd></dl>
  358. <dl>
  359. <dt><a name="index-_005f_005fdpd_005fgtsd2"></a>Runtime Function: <em>int</em> <strong>__dpd_gtsd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  360. <dt><a name="index-_005f_005fbid_005fgtsd2"></a>Runtime Function: <em>int</em> <strong>__bid_gtsd2</strong> <em>(_Decimal32 <var>a</var>, _Decimal32 <var>b</var>)</em></dt>
  361. <dt><a name="index-_005f_005fdpd_005fgtdd2"></a>Runtime Function: <em>int</em> <strong>__dpd_gtdd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  362. <dt><a name="index-_005f_005fbid_005fgtdd2"></a>Runtime Function: <em>int</em> <strong>__bid_gtdd2</strong> <em>(_Decimal64 <var>a</var>, _Decimal64 <var>b</var>)</em></dt>
  363. <dt><a name="index-_005f_005fdpd_005fgttd2"></a>Runtime Function: <em>int</em> <strong>__dpd_gttd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  364. <dt><a name="index-_005f_005fbid_005fgttd2"></a>Runtime Function: <em>int</em> <strong>__bid_gttd2</strong> <em>(_Decimal128 <var>a</var>, _Decimal128 <var>b</var>)</em></dt>
  365. <dd><p>These functions return a value greater than zero if neither argument
  366. is NaN, and <var>a</var> is strictly greater than <var>b</var>.
  367. </p></dd></dl>
  368. <hr>
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