bigfloat1.ocd

<CD xmlns="http://www.openmath.org/OpenMathCD">

<CDComment>

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</CDComment>

<CDName>bigfloat1</CDName>
<CDBase>http://www.openmath.org/cd</CDBase>
<CDURL>http://www.openmath.org/cd/bigfloat1.ocd</CDURL>
<CDReviewDate>2006-03-30</CDReviewDate>
<CDDate>2004-03-30</CDDate>
<CDVersion>3</CDVersion>
<CDRevision>1</CDRevision>
<CDComment>
  Author: OpenMath Consortium
  SourceURL: https://github.com/OpenMath/CDs
</CDComment>
<CDStatus>official</CDStatus>
<Description>
    This CD provides a common representation of "bigfloats" in a mantissa/
    radix/exponent format.
    There is a further version, which provides an opportunity to state a
    precision (only required in a different radix).
    No operations are defined here -- see arith and alg.
</Description>
<CDComment>
Written by James Davenport on 1999-07-13.
bigfloatprec added 1999-07-21.
</CDComment>

<CDDefinition>
<Name>bigfloat</Name>
<Role>application</Role>
<Description> 
The bigfloat constructor takes three arguments, a mantissa, a base and the
exponent.
</Description>
<CMP> bigfloat(m,r,e)=m*r^e </CMP>
<FMP>
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  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA>
      <OMS cd="bigfloat1" name="bigfloat"/>
      <OMV name="m"/>
      <OMV name="r"/>
      <OMV name="e"/>
    </OMA>
    <OMA>
      <OMS cd="arith1" name="times"/>
      <OMV name="m"/>
      <OMA>
        <OMS cd="arith1" name="power"/>
        <OMV name="r"/>
        <OMV name="e"/>
      </OMA>
    </OMA>
  </OMA>
</OMOBJ>
</FMP>
</CDDefinition>

<CDDefinition>
<Name>bigfloatprec</Name>
<Role>application</Role>
<Description> 
The bigfloat "with precision specified in (another) radix" constructor. Takes 
3 arguments, the first argument is a floating point number constructed with the
bigfloat constructor, the second is the new radix, whilst the third specifies 
how many digits are significant.
</Description>
<CMP> bigfloatprec(f,r,p)=f 
However, if converted to radix r, only p digits in that radix are significant.
This usually means that it originated in radix r, and has since
(e.g. for display purposes) been converted into its current radix. For 
exposition, f = m*r^e.
</CMP>
<FMP>
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  <OMA>
    <OMS cd="relation1" name="eq"/>
    <OMA>
      <OMS cd="bigfloat1" name="bigfloatprec"/>
      <OMA>
        <OMS cd="bigfloat1" name="bigfloat"/>
        <OMV name="m"/>
        <OMV name="r"/>
        <OMV name="e"/>
      </OMA>
      <OMV name="r"/>
      <OMA>
        <OMS cd="rounding1" name="ceiling"/>
        <OMA>
          <OMS cd="transc1" name="log"/>
          <OMV name="r"/>
          <OMV name="m"/>
        </OMA>
      </OMA>
    </OMA>
    <OMA>
      <OMS cd="bigfloat1" name="bigfloat"/>
      <OMV name="m"/>
      <OMV name="r"/>
      <OMV name="e"/>
    </OMA>
  </OMA>
</OMOBJ>
</FMP>

</CDDefinition>

</CD>