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<!--StartFragment-->
<div align="center"><div style="text-align: -webkit-center;"><div style="text-align: left;">At our July meeting we discussed the fact that whereas Table 1 gives a binding between IEC 60559 and binary FP for C, we have no such binding for decimal FP:</div><div style="text-align: left;"><blockquote type="cite">
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<!--StartFragment--><p class="MsoNormal" style="mso-pagination:none;mso-layout-grid-align:none;
text-autospace:none"><span style="font-family:Helvetica;mso-bidi-font-family:
Helvetica;color:#156311">PDF page 14, paragraph about 6.4.4.2#5: Do we need to
add: "Decimal </span><span class="Apple-style-span" style="color: rgb(21, 99, 17); ">floating-point constants shall be correctly
rounded."?</span></p><p class="MsoNormal" style="mso-pagination:none;mso-layout-grid-align:none;
text-autospace:none"><span style="font-family:Helvetica;mso-bidi-font-family:
Helvetica;color:#1049BC">if not already covered - we might want to adapt, or
refer to, the operation binding table in Part 1, e.g., </span><span class="Apple-style-span" style="color: rgb(16, 73, 188); ">The binding of 60559 operations to C decimal operation
is analogous to the binding in Part 1 for binary operations, with these
exceptions: … </span><span class="Apple-style-span" style="color: rgb(16, 73, 188); ">REVISIT</span></p><p class="MsoNormal" style="mso-pagination:none;mso-layout-grid-align:none;
text-autospace:none"><span style="font-family:Helvetica;mso-bidi-font-family:
Helvetica"><o:p> </o:p></span>try exceptions approach - ISSUE</p></blockquote></div></div>
</div><div align="center" style="text-align: left;">Below is an attempt. This text would most naturally go between clauses 7 and 8 (in Part 2). Corrections and comments welcome.</div><div align="center" style="text-align: left;"><br></div><div align="center" style="text-align: left;">==================================</div><div align="center" style="text-align: left;"><span style="font-size:10.0pt;font-family:Arial">Table 1 and
subsequent text in Part 1 clause 8 of this Technical Specification show how
C operators, functions, and function-like macros provide the operations
required by IEC 60559 for binary floating point. The first column gives the IEC
60559 operation, the second column the corresponding C operation. This table,
with the exceptions noted below, also serves to show how the C decimal operations
specified in Part 2 of this Technical Specification</span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; "> provide the operations required by IEC 60559 for
decimal floating point.</span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; "> </span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">For the
decimal operation binding, the functions shown in the second column indicate
the decimal versions of the functions.</span></div><div align="center" style="text-align: left;"><p class="MsoNormal"><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">A decimal version of the C remquo function is not provided. The C remainder function provides the remainder operation defined by IEC 60559.</span></p><div>The C quantize function (11.4) provides the quantize operation defined in IEC 60559. </div><p class="MsoNormal"><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">IEC 60559 specifies the<span style="mso-spacerun:yes"> </span>convertFromHexCharacter and
convertToHexCharacter operations only for binary floating point.</span></p><p class="MsoNormal"><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">The C expression </span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">x == 0.df</span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; "> provides the isZero operation defined in IEC 60559.</span></p><div>The C integer constant 10 provides the radix operation defined in IEC 60559.</div><div><br></div><div>The C samequantum function (11.4) provides the sameQuantum operation defined in IEC60559.</div><div><p class="MsoNormal"><span style="font-size: 10pt; font-family: Arial; ">The C </span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">fe_dec_getround and </span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">fe_dec_setround functions (11.2) provide the </span><span style="font-size: 10pt; font-family: Arial; ">getDecimalRoundingDirection and s</span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">etDecimalRoundingDirection</span> <span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">operations defined in IEC 60559</span><span class="Apple-style-span" style="font-family: Arial; font-size: 13px; ">.</span></p><div>The C quantexp function (11.2) computes the (quantum) exponent q defined in IEC 60559 for decimal numbers viewed as having integer significands. </div><div><br></div></div><div><span style="font-size: 10pt; font-family: Arial; ">The C encodedpd and decodedpd functions (TBD) provide the encodeDecimal and decodeDecimal operations defined (specifically for decimal floating point) in IEC 60559.</span></div><p class="MsoNormal"><span style="font-size: 10pt; font-family: Arial; "><o:p></o:p></span></p><div><span style="font-size: 10pt; font-family: Arial; ">The C encodebid and decodebid functions (TBD) provide the encodeBinary and decodeBinary operations defined (specifically for decimal floating point) in IEC 60559.</span></div><div><span style="font-size: 10pt; font-family: Arial; "><div align="center" style="text-align: left; font-family: Helvetica; font-size: medium; ">==================================</div></span></div><div><span style="font-size: 10pt; font-family: Arial; "><br></span></div><p class="MsoNormal"><span style="font-size: 10pt; font-family: Arial; "><o:p></o:p></span></p><div><span style="font-size:10.0pt;font-family:Arial">BTW, I noticed in Table 1 that isZero
should be bound to x == 0.0f (instead of x == 0.0), to avoid triggering signaling NaNs. If no one objects, I'll make this change. </span></div><div><span style="font-size:10.0pt;font-family:Arial"><br></span></div><div><span style="font-size:10.0pt;font-family:Arial">-Jim</span></div><p class="MsoNormal"><font class="Apple-style-span" face="Arial"><span class="Apple-style-span" style="font-size: 13px;"><br></span></font></p><p class="MsoNormal"><span style="font-size:10.0pt;font-family:Arial"><o:p> </o:p></span></p>
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