Maths

Mathematical definitions and functions. More...

Macros
#define	PI   3.1415926535897932384626433832795
	A constant representing the ratio of a circle's circumference to its diameter.
#define	HALF_PI   1.5707963267948966192313216916398
	A constant representing half of the mathematical constant π (pi) in programming and mathematics.
#define	TWO_PI   6.283185307179586476925286766559
	A constant representing two times the mathematical constant π (pi) in programming and mathematics.
#define	DEG_TO_RAD   0.017453292519943295769236907684886
	A constant for converting degrees to radians in mathematics and programming applications.
#define	RAD_TO_DEG   57.295779513082320876798154814105
	A constant for converting radians to degrees in mathematical and programming contexts.
#define	EULER   2.718281828459045235360287471352
	Euler's constant.
#define	min(a, b)   ((a)<(b)?(a):(b))
	Returns the smaller of two values. More...
#define	max(a, b)   ((a)>(b)?(a):(b))
	Returns the larger of two values. More...
#define	constrain(amt, low, high)   ((amt)<(low)?(low):((amt)>(high)?(high):(amt)))
	Constrains a value to be within a specified range. More...
#define	radians(deg)   ((deg)*DEG_TO_RAD)
	Converts degrees to radians. More...
#define	degrees(rad)   ((rad)*RAD_TO_DEG)
	Converts radians to degrees. More...
#define	sq(x)   ((x)*(x)) /* x^2 */
	Squares a number. More...

Functions
long	map (long x, long in_min, long in_max, long out_min, long out_max)
	Maps a value from one range to another. More...

Detailed Description

Mathematical definitions and functions.

Macro Definition Documentation

constrain

#define constrain	(		amt,
			low,
			high
	)		((amt)<(low)?(low):((amt)>(high)?(high):(amt)))

Constrains a value to be within a specified range.

Parameters

amt	The value to constrain.
low	The lower end of the range.
high	The upper end of the range.

Returns

The constrained value.

degrees

#define degrees

(

rad

)

((rad)*RAD_TO_DEG)

Converts radians to degrees.

Parameters

rad	The angle in radians.

Returns

The angle in degrees.

max

#define max	(		a,
			b
	)		((a)>(b)?(a):(b))

Returns the larger of two values.

Parameters

a	First value.
b	Second value.

Returns

The larger of the two values.

min

#define min	(		a,
			b
	)		((a)<(b)?(a):(b))

Returns the smaller of two values.

Parameters

a	First value.
b	Second value.

Returns

The smaller of the two values.

radians

#define radians

(

deg

)

((deg)*DEG_TO_RAD)

Converts degrees to radians.

Parameters

deg	The angle in degrees.

Returns

The angle in radians.

sq

#define sq

(

x

)

((x)*(x)) /* x^2 */

Squares a number.

Parameters

x	The number to square.

Returns

The squared value.

Function Documentation

map()

long map	(	long	x,
		long	in_min,
		long	in_max,
		long	out_min,
		long	out_max
	)

Maps a value from one range to another.

Parameters

x	The value to map.
in_min	The lower bound of the input range.
in_max	The upper bound of the input range.
out_min	The lower bound of the output range.
out_max	The upper bound of the output range.

Returns

The mapped value.

See also

https://www.arduino.cc/reference/en/language/functions/math/map