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Digital Research
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float - floating point number formats
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Regulus supports two formats of single precision floating
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point numbers. They are the Motorola 'Fast Floating Point' and
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the 'IEEE standard'. Both types are stored in 32-bit entities.
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They are not compatible.
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The FFP format consists of a 24 bit mantissa, 1 bit of
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sign, and 7 bits of exponent. The exponent is stored in it's
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two's complement form.
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[ | | | | | | | ~~~~ | | | | | | | | | | | | | | | | ]
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|------------ Mantissa --------------|S|---- Exp ----|
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The IEEE format consists of 1 sign bit, 8 bits of exponent, and
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23 bits of mantissa. The exponent is store in it's Excess 127
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format.
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[ | | | | | | | | | | | | | | | ~~~~ | | | | | | | | ]
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|S|----- Exp -----|---------- Mantissa --------------|
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The floating point numbers represented by the IEEE format are :
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(-1)^S * 1.F * 2^E, the FFP floating point numbers are of the
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form : (-1)^S * 0.F * 2^E.
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The IEEE format will be used if the -e flag is given to the
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compiler or if the -lE flag is given to the loader. The FFP
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format will be used if the -f flag is given to the compiler or
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if the -lF flag is given to the loader. These flags cause
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floating point constants of the appropriate flavor to be gen-
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erated and the appropriate library to be loaded.
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The IEEE floating point values lose some precision due to
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the fact that calculations use the fast floating point routines,
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and a translation to and from the FFP format. cc(cmnd),
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lo(cmnd)
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