Complex Number Functions

Operator	Functionality
+-*/	Operate on complex numbers
=<>	Operate on complex numbers
ABS	Return absolute value (magnitude or modulus)
ATN	Return arctangent of complex number
COS	Return cosine of complex number
ALLOCATE	COMPLEX can be specified
COM	COMPLEX can be specified
DATA	Use rectangular form separated by comma
DISP	Display in rectangular form separated by space
DEF	COMPLEX can be specified
ENTER	Enter in rectangular form separated by non-numeric
EXP	Return "e" raised to complex power
EIMAGE	Treat complex like two REALs
IMPUT	Input in rectangular form
LGT	Return base 10 log of complex number
LOG	Return natural log of complex number
MAT	ABS, ARG, CMPLX, CONJG, IMAG, REAL
MAT REORDER	Reorder complex arrays
MAT SEARCH	Search complex arrays
OUTPUT	Output in rectangular form separated by comma
PRINT	Print in rectangular form separated by space
READ	Read in rectangular form
SIN	Return sine of complex number
SQR	Return square root of complex number
SUB	COMPLEX can be specified
TAN	Return tangent of complex number

Notice that only two of the relational operators, <> and =, are extended for complex numbers. The other relational operators depend on the linear ordering of the data type. In other words, all REAL, LONG or INTEGER numbers could be laid out on a number line and, of any two different numbers, one would be closer to positive infinity than the other. Since linear ordering is not defined for the complex data type, the <, >, <=, and >= operators are also not defined.

Complex and Real Operators

Operator	Functionality
ACSH	Hyperbolic arc-cosine of complex or real
ARG	Argument (angle) of complex number in polar form
ASNH	Hyperbolic arcsine of complex or real
ATNH	Hyperbolic arctangent of complex or real
CMPLX	Combine two REALs into a complex
COMPLEX	Declare complex variables
CONJG	Conjugate of complex
COSH	Hyperbolic cosine of complex or real
IMAG	Return imaginary part of complex number
REAL	Return real part of complex number
SINH	Hyperbolic sine of complex or real
TANH	Hyperbolic tangent of complex or real