DETAILED DEFINITIONS

abs arg

Returns the absolute value of arg. Arg may be either integer or floating-point, and the result is returned in the same form.

acos arg

Returns the arc cosine of arg, in the range [0,pi] radians. Arg should be in the range [-1,1].

asin arg

Returns the arc sine of arg, in the range [-pi/2,pi/2] radians. Arg should be in the range [-1,1].

atan arg

Returns the arc tangent of arg, in the range [-pi/2,pi/2] radians.

atan2 y x

Returns the arc tangent of y/x, in the range [-pi,pi] radians. x and y cannot both be 0. If x is greater than 0, this is equivalent to “atan [expr {y/x}]”.

bool arg

Accepts any numeric value, or any string acceptable to string is boolean, and returns the corresponding boolean value 0 or 1. Non-zero numbers are true. Other numbers are false. Non-numeric strings produce boolean value in agreement with string is true and string is false.

ceil arg

Returns the smallest integral floating-point value (i.e. with a zero fractional part) not less than arg. The argument may be any numeric value.

cos arg

Returns the cosine of arg, measured in radians.

cosh arg

Returns the hyperbolic cosine of arg. If the result would cause an overflow, an error is returned.

double arg

The argument may be any numeric value, If arg is a floating-point value, returns arg, otherwise converts arg to floating-point and returns the converted value. May return Inf or -Inf when the argument is a numeric value that exceeds the floating-point range.

entier arg

The argument may be any numeric value. The integer part of arg is determined and returned. The integer range returned by this function is unlimited, unlike int and wide which truncate their range to fit in particular storage widths.

exp arg

Returns the exponential of arg, defined as e**arg. If the result would cause an overflow, an error is returned.

floor arg

Returns the largest integral floating-point value (i.e. with a zero fractional part) not greater than arg. The argument may be any numeric value.

fmod x y

Returns the floating-point remainder of the division of x by y. If y is 0, an error is returned.

hypot x y

Computes the length of the hypotenuse of a right-angled triangle “sqrt [expr {x*x+y*y}]”.

int arg

The argument may be any numeric value. The integer part of arg is determined, and then the low order bits of that integer value up to the machine word size are returned as an integer value. For reference, the number of bytes in the machine word are stored in tcl_platform(wordSize).

isqrt arg

Computes the integer part of the square root of arg. Arg must be a positive value, either an integer or a floating point number. Unlike sqrt, which is limited to the precision of a floating point number, isqrt will return a result of arbitrary precision.

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 ...

Accepts one or more numeric arguments. Returns the one argument with the greatest value.

min arg ...

Accepts one or more numeric arguments. Returns the one argument with the least value.

pow x y

Computes the value of x raised to the power y. If x is negative, y must be an integer value.

rand

Returns a pseudo-random floating-point value in the range (0,1). The generator algorithm is a simple linear congruential generator that is not cryptographically secure. Each result from rand completely determines all future results from subsequent calls to rand, so rand should not be used to generate a sequence of secrets, such as one-time passwords. The seed of the generator is initialized from the internal clock of the machine or may be set with the srand function.

round arg

If arg is an integer value, returns arg, otherwise converts arg to integer by rounding and returns the converted value.

sin arg

Returns the sine of arg, measured in radians.

sinh arg

Returns the hyperbolic sine of arg. If the result would cause an overflow, an error is returned.

sqrt arg

The argument may be any non-negative numeric value. Returns a floating-point value that is the square root of arg. May return Inf when the argument is a numeric value that exceeds the square of the maximum value of the floating-point range.

srand arg

The arg, which must be an integer, is used to reset the seed for the random number generator of rand. Returns the first random number (see rand) from that seed. Each interpreter has its own seed.

tan arg

Returns the tangent of arg, measured in radians.

tanh arg

Returns the hyperbolic tangent of arg.

wide arg

The argument may be any numeric value. The integer part of arg is determined, and then the low order 64 bits of that integer value are returned as an integer value.