OpenMath Content Dictionary: bigfloat1

Canonical URL:
http://www.openmath.org/cd/bigfloat1.ocd
CD Base:
http://www.openmath.org/cd
CD File:
bigfloat1.ocd
CD as XML Encoded OpenMath:
bigfloat1.omcd
Defines:
bigfloat, bigfloatprec
Date:
2004-03-30
Version:
3 (Revision 1)
Review Date:
2006-03-30
Status:
official


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  Author: OpenMath Consortium
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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.

Written by James Davenport on 1999-07-13.
bigfloatprec added 1999-07-21.

bigfloat

Role:
application
Description:

The bigfloat constructor takes three arguments, a mantissa, a base and the exponent.

Commented Mathematical property (CMP):
bigfloat(m,r,e)=m*r^e
Formal Mathematical property (FMP):
m × r e = m r e
Signatures:
sts


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bigfloatprec

Role:
application
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.

Commented Mathematical property (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.
Formal Mathematical property (FMP):
bigfloatprec ( m × r e , r , ceiling ( log r m ) ) = m × r e
Signatures:
sts


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