The functions listed here perform operations such as rounding and
truncation of floating-point values. Some of these functions convert
floating point numbers to integer values. They are all declared in
math.h.

You can also convert floating-point numbers to integers simply by
casting them to int. This discards the fractional part,
effectively rounding towards zero. However, this only works if the
result can actually be represented as an int—for very large
numbers, this is impossible. The functions listed here return the
result as a double instead to get around this problem.

— Function: double ceil (double x)

— Function: float ceilf (float x)

— Function: long double ceill (long double x)

These functions round x upwards to the nearest integer,
returning that value as a double. Thus, ceil (1.5)
is 2.0.

— Function: double floor (double x)

— Function: float floorf (float x)

— Function: long double floorl (long double x)

These functions round x downwards to the nearest
integer, returning that value as a double. Thus, floor
(1.5) is 1.0 and floor (-1.5) is -2.0.

— Function: double trunc (double x)

— Function: float truncf (float x)

— Function: long double truncl (long double x)

The trunc functions round x towards zero to the nearest
integer (returned in floating-point format). Thus, trunc (1.5)
is 1.0 and trunc (-1.5) is -1.0.

— Function: double rint (double x)

— Function: float rintf (float x)

— Function: long double rintl (long double x)

These functions round x to an integer value according to the
current rounding mode. See Floating Point Parameters, for
information about the various rounding modes. The default
rounding mode is to round to the nearest integer; some machines
support other modes, but round-to-nearest is always used unless
you explicitly select another.

If x was not initially an integer, these functions raise the
inexact exception.

— Function: double nearbyint (double x)

— Function: float nearbyintf (float x)

— Function: long double nearbyintl (long double x)

These functions return the same value as the rint functions, but
do not raise the inexact exception if x is not an integer.

— Function: double round (double x)

— Function: float roundf (float x)

— Function: long double roundl (long double x)

These functions are similar to rint, but they round halfway
cases away from zero instead of to the nearest even integer.

— Function: long int lrint (double x)

— Function: long int lrintf (float x)

— Function: long int lrintl (long double x)

These functions are just like rint, but they return a
long int instead of a floating-point number.

— Function: long long int llrint (double x)

— Function: long long int llrintf (float x)

— Function: long long int llrintl (long double x)

These functions are just like rint, but they return a
long long int instead of a floating-point number.

— Function: long int lround (double x)

— Function: long int lroundf (float x)

— Function: long int lroundl (long double x)

These functions are just like round, but they return a
long int instead of a floating-point number.

— Function: long long int llround (double x)

— Function: long long int llroundf (float x)

— Function: long long int llroundl (long double x)

These functions are just like round, but they return a
long long int instead of a floating-point number.

— Function: long double modfl (long double value, long double *integer-part)

These functions break the argument value into an integer part and a
fractional part (between -1 and 1, exclusive). Their sum
equals value. Each of the parts has the same sign as value,
and the integer part is always rounded toward zero.

modf stores the integer part in *integer-part, and
returns the fractional part. For example, modf (2.5, &intpart)
returns 0.5 and stores 2.0 into intpart.

Published under the terms of the GNU General Public License