calc: Complex Number Functions
8.3 Complex Number Functions
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The ‘J’ (‘calc-conj’) [‘conj’] command computes the complex conjugate of
a number. For complex number ‘a+bi’, the complex conjugate is ‘a-bi’.
If the argument is a real number, this command leaves it the same. If
the argument is a vector or matrix, this command replaces each element
by its complex conjugate.
The ‘G’ (‘calc-argument’) [‘arg’] command computes the “argument” or
polar angle of a complex number. For a number in polar notation, this
is simply the second component of the pair ‘(R;THETA)’. The result is
expressed according to the current angular mode and will be in the range
-180 degrees (exclusive) to +180 degrees (inclusive), or the equivalent
range in radians.
The ‘calc-imaginary’ command multiplies the number on the top of the
stack by the imaginary number ‘i = (0,1)’. This command is not normally
bound to a key in Calc, but it is available on the <IMAG> button in
Keypad mode.
The ‘f r’ (‘calc-re’) [‘re’] command replaces a complex number by its
real part. This command has no effect on real numbers. (As an added
convenience, ‘re’ applied to a modulo form extracts the value part.)
The ‘f i’ (‘calc-im’) [‘im’] command replaces a complex number by its
imaginary part; real numbers are converted to zero. With a vector or
matrix argument, these functions operate element-wise.
The ‘v p’ (‘calc-pack’) command can pack the top two numbers on the
stack into a composite object such as a complex number. With a prefix
argument of -1, it produces a rectangular complex number; with an
argument of -2, it produces a polar complex number. (Also, 
Building Vectors.)
The ‘v u’ (‘calc-unpack’) command takes the complex number (or other
composite object) on the top of the stack and unpacks it into its
separate components.
Info Catalog
calc: Integer Truncation
calc: Arithmetic
calc: Conversions