Arithmetic operators

Operators allowed in numerical expressions.

Description

Arithmetic expressions

The following arithmetic operations are available to build Integer and Real expressions.
Integer types are int for bounded integers, int(N) for signed integers of N bits, uint(N) for unsigned integers of N bits.
Real types are real, float for 32 bits floating point numbers, double for 64 bits floating point numbers.
Real operations are rounded outward (toward -1.0Inf for lower bound and toward 1.0Inf for upper bound).
Float and double operations are rounded to the nearest even float or double.
E, E1 and E2 stand for arbitrary arithmetic expressions, number stands for any numeriacal type above.

Operation	Description	Arguments	Result
- E	unary minus	number	number
E1 + E2	addition	number x number	number
E1 - E2	subtraction	number x number	number
E1 * E2	multiplication	number x number	number
E1 // E2	integer division	Integer x Integer	Integer
E1 rem E2	integer reminder	Integer x Integer	Integer
E1 / E2	real division	Real x Real	Real
E1 rem E2	real remainder: E1 - E2*round(E1/E2)	Real x Real	Real
E1^E2	power	number x positive Integer	number
min(E1,E2)	minimum	number x number	number
max(E1,E2)	maximum	number x number	number
sqrt(E)	square root	Real	Real
fma(E1,E2,E3)	fuse multiply and add: (E1*E2)+E3	Real x Real x Real	Real
exp(E)	exponentiation	Real	Real
ln(E)	natural logarithm	Real	Real
floor	round down to integral	Real	Real
ceiling	round up to integral	Real	Real
round	round to nearest integral	Real	Real
truncate	truncate to integral	Real	Real
int_from_real	Conversion from real to Integer	real	Integer
int_from_float	Conversion from float to Integer	float	Integer
int_from_double	Conversion from double to Integer	double	Integer
intN_from_int	Conversion from signed to int	positive int x int	int(N)
uintN_from_int	Conversion from unsigned to int	positive int x int	uint(N)
real_from_int	Conversion from int to real	int	real
float_from_int	Conversion from int to float	int	float
double_from_int	Conversion from int to double	int	double
real_from_float	Conversion from float to real	float	real
real_from_double	Conversion from double to real	double	real
double_from_float	Conversion from float to double	float	double
float_from_double	Conversion from double to float	double	float
floatFirst	First finite float number		float
floatLast	Last finite float number		float
doubleFirst	First finite double number		double
doubleLast	Last finite double number		double
minNormFloat	Minimal positive normalized float		float
minNormDouble	Minimal positive normalized double		float

Argument types other than specified yield a type error.
The integer division // rounds the result towards zero (truncates). The relationship between // and rem is as follows:

X #= (X rem Y) + (X // Y) * Y

Arithmetic operators

Description

See Also