NAME
    abs - absolute value

SYNOPSIS
    abs(x [,eps])

TYPES
    If x is an object of type xx, the function xx_abs has to have
	been defined; this will determine the types for x, eps and
	the returned value.

    For non-object x and eps:

    x		number (real or complex)
    eps		ignored if x is real, nonzero real for complex x,
		defaults to epsilon().

    return	non-negative real

DESCRIPTION
    If x is real, returns the absolute value of x, i.e. x if x >= 0,
    -x if x < 0.

    For complex x with zero real part, returns the absolute value of im(x).

    For other complex x, returns the multiple of eps nearest to the absolute
    value of x, or in the case of two equally near nearest values, the
    the nearest even multiple of eps.  In particular, with eps = 10^-n,
    the result will be the absolute value correct to n decimal places.

EXAMPLE
    > print abs(3.4), abs(-3.4)
    3.4 3.4

    > print abs(3+4i, 1e-5), abs(4+5i, 1e-5), abs(4+5i, 1e-10)
    5 6.40312 6.4031242374

LIMITS
    none

LIBRARY
    NUMBER *qqabs(NUMBER *x)

SEE ALSO
    cmp, epsilon, hypot, norm, near, obj