Developer Reference

Contents

Special Value Notations

This
topic
defines notations of special values for complex functions. The definitions are provided in text, tables, or formulas.
  • z
    ,
    z1
    ,
    z2
    , etc. denote complex numbers.
  • i
    ,
    i
    2
    =-1
    is the imaginary unit.
  • x
    ,
    X
    ,
    x1
    ,
    x2
    , etc. denote real imaginary parts.
  • y
    ,
    Y
    ,
    y1
    ,
    y2
    , etc. denote imaginary parts.
  • X
    and
    Y
    represent any finite positive IEEE-754 floating point values, if not stated otherwise.
  • Quiet
    NaN
    and signaling
    NaN
    are denoted with
    QNAN
    and
    SNAN
    , respectively.
  • The IEEE-754 positive infinities or floating-point numbers are denoted with a
    +
    sign before
    X
    ,
    Y
    , etc.
  • The IEEE-754 negative infinities or floating-point numbers are denoted with a
    -
    sign before
    X
    ,
    Y
    , etc.
CONJ(z)
and
CIS(z)
are defined as follows:
CONJ(x+i
·
y)=x-i
·
y
CIS(y)=cos(y)+i
·
sin(y)
.
The special value tables show the result of the function for the
z
argument at the intersection of the
RE(z)
column and the
i*IM(z)
row. If the function raises an exception on the argument
z
, the lower part of this cell shows the raised exception and the VM Error Status. An empty cell indicates that this argument is normal and the result is defined mathematically.

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