^[a] atan does not determine the quadrant of the result, but atan2 does.

^[b] The value of the first dimensionless operand n, also referred to as the order of the Bessel function, must be an integer (n=0, 1, 2, ....). The second argument is a dimensionless real number.

^[c] The int() function truncates the dimensionless argument to its integer part.

Examples:

int(1) = 1

int(2.5) = 2

int(-3.1) = -3

int(-4.8) = -4

The int() function requires a dimensionless argument but will not report an error if the argument of the function has a dimension of radians or degrees.

^[d] ln(x) is valid as an alias for loge(x)

^[e] log(x) is valid as an alias for log10(x)

^[f] mod(x, y) returns the remainder on dividing x by y; the function is not defined for y = 0.

^[g] The nint function requires a dimensionless argument and is defined as:

int(x + 0.5) if x >= 0

int(x - 0.5) if x < 0

See the implementation of int( ) function in the table above.

Examples:

nint(2.6) = 3

nint(2.5) = 3

nint(2.4) = 2

nint(1) = 1

nint(-1) = -1

nint(-2.4) = -2

nint(-2.5) = -3

nint(-2.6) = -3

Note that the nint() function will not report an error if the argument of the function has a dimension of radians or degrees.

^[h] step(x) is 0 for negative x, 1 for positive x and 0.5 for x=0. x must be dimensionless.

^[i] tan(x) is undefined for x=n/2, where n=1, 3, 5, ...