Mathematical functions

Mathematical functions (such as sine and cosine) are replaced with a call to the Tcl mathfunc namespace. This does not require any additional syntax to access the namespace as it is called automatically. These are invoked by passing the Function followed by the value or values to evaluate to the expr command. Those functions that accept multiple arguments require that the arguments be comma delimited. The default Mathematical functions are listed below in alphabetical order. These functions require a specific syntax (for example expr {function(value,value)}) to be accessed, as described in the Computing mathematical expressions section that follows:

Function	Result
abs arg	Returns the absolute value of arg. Numeric operators may be integer or floating-point. Value is returned in the same format.
acos arg	Returns the arc cosine of arg.
asin arg	Returns the arc sine of arg.
atan arg	Returns the Arc Tangent of x/y.
bool arg	Returns the Boolean value of arg where non-numeric values are true, otherwise the value is false.
ceil arg	Returns the smallest floating-point integer value not less than arg. Any numeric value is acceptable.
cos arg	Returns the cosine of arg, measured in radians. If the result produces an over-flow, an error is returned.
double arg	Converts arg to its floating-point value. May return INF or INF when the numeric value is such that it exceeds the floating-point value.
entier arg	Converts arg to its integer value.
exp arg	Returns the exponential of arg. If the result produces an over-flow, an error is returned.
floor arg	Returns the largest floating-point integer not greater than arg. The argument may be any numeric value.
fmod x y	Returns the remainder of x/y as a floating-point integer. If y is a zero (0), then an error is returned.
hypot x y	Returns the length of the hypotenuse of a right angled triangle.
int arg	Returns the low order bits of arg up to the machine word size.
isqrt arg	Returns the integer portion of the square root of arg. Arg must be a positive value (integer or floating-point).
log arg	Returns the natural logarithm of arg. arg must be a positive value.
log10 arg	Returns the base 10 logarithm of arg. arg must be a positive value.
max arg	This function accepts one or more numeric values and returns the greatest.
min arg	This function accepts one or more numeric and returns the least one.
pow x y	Returns the value of x raised to the power y. If x is zero (0), y must be an integer value.
rand	Returns a pseudo-random floating-point integer in the range of 0, 1.
round arg	Returns the rounded value of arg if arg is an integer value. If arg is not an integer, it is converted to an integer by rounding and the converted value is returned.
sin arg	Returns the sine of arg as radians.
sinh arg	Returns the hyperbolic sin of arg. If the result produces an over-flow, an error is returned.
sqrt arg	Returns the square root of arg. Accepts any non-negative numeric value. May return INF when the value is a numeric value that exceeds the square of the maximum value for the floating-point range.
srand arg	Resets the seed for the random number generator and returns a random number as described in rand.
tan arg	Returns the tangent of arg as radians.
tanh arg	Returns the hyperbolic tangent of arg.
wide arg	Returns the low order 64 bits of arg. Accepts any numeric value.