Tcl 9.0/Tk9.0 Documentation > Tcl Commands, version 9.0.1 > mathfunc

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NAME

mathfunc — Mathematical functions for Tcl expressions

SYNOPSIS

DESCRIPTION

DETAILED DEFINITIONS

abs arg

acos arg

asin arg

atan arg

atan2 y x

bool arg

ceil arg

cos arg

cosh arg

double arg

entier arg

exp arg

floor arg

fmod x y

hypot x y

int arg

isfinite arg

isinf arg

isnan arg

isnormal arg

isqrt arg

issubnormal arg

isunordered x y

log arg

log10 arg

max arg ...

min arg ...

pow x y

rand

round arg

sin arg

sinh arg

sqrt arg

srand arg

tan arg

tanh arg

wide arg

SEE ALSO

COPYRIGHT

NAME

SYNOPSIS

DESCRIPTION

Tcl supports the following mathematical functions in expressions, all of which work solely with floating-point numbers unless otherwise noted:

abs	acos	asin	atan
atan2	bool	ceil	cos
cosh	double	entier	exp
floor	fmod	hypot	int
isfinite	isinf	isnan	isnormal
isqrt	issubnormal	isunordered	log
log10	max	min	pow
rand	round	sin	sinh
sqrt	srand	tan	tanh
wide

In addition to these predefined functions, applications may define additional functions by using proc (or any other method, such as interp alias or Tcl_CreateObjCommand) to define new commands in the tcl::mathfunc namespace.

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, approximately “sqrt [expr {x*x+y*y}]” except for being more numerically stable when the two arguments have substantially different magnitudes.

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 the wordSize element of the tcl_platform array.

isfinite arg

Returns 1 if the floating-point number arg is finite. That is, if it is zero, subnormal, or normal. Returns 0 if the number is infinite or NaN. Throws an error if arg cannot be promoted to a floating-point value.

isinf arg

Returns 1 if the floating-point number arg is infinite. Returns 0 if the number is finite or NaN. Throws an error if arg cannot be promoted to a floating-point value.

isnan arg

Returns 1 if the floating-point number arg is Not-a-Number. Returns 0 if the number is finite or infinite. Throws an error if arg cannot be promoted to a floating-point value.

isnormal arg

Returns 1 if the floating-point number arg is normal. Returns 0 if the number is zero, subnormal, infinite or NaN. Throws an error if arg cannot be promoted to a floating-point value.

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.

issubnormal arg

Returns 1 if the floating-point number arg is subnormal, i.e., the result of gradual underflow. Returns 0 if the number is zero, normal, infinite or NaN. Throws an error if arg cannot be promoted to a floating-point value.

isunordered x y

Returns 1 if x and y cannot be compared for ordering, that is, if either one is NaN. Returns 0 if both values can be ordered, that is, if they are both chosen from among the set of zero, subnormal, normal and infinite values. Throws an error if either x or y cannot be promoted to a floating-point value.

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.

SEE ALSO

COPYRIGHT