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Paradise/code/__DEFINES/math.dm
2019-04-09 11:22:01 -04:00

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#define PI 3.1415
#define SPEED_OF_LIGHT 3e8 //not exact but hey!
#define SPEED_OF_LIGHT_SQ 9e+16
#define INFINITY 1e31 //closer then enough
#define Clamp(x, y, z) ((x) <= (y) ? (y) : ((x) >= (z) ? (z) : (x)))
#define CLAMP01(x) (Clamp((x), 0, 1))
// Similar to clamp but the bottom rolls around to the top and vice versa. min is inclusive, max is exclusive
#define WRAP(val, min, max) ( min == max ? min : (val) - (round(((val) - (min))/((max) - (min))) * ((max) - (min))) )
#define SIMPLE_SIGN(X) ((X) < 0 ? -1 : 1)
#define SIGN(X) ((X) ? SIMPLE_SIGN(X) : 0)
#define hypotenuse(Ax, Ay, Bx, By) (sqrt(((Ax) - (Bx))**2 + ((Ay) - (By))**2))
#define Ceiling(x) (-round(-(x)))
#define Tan(x) (sin(x) / cos(x))
#define Cot(x) (1 / Tan(x))
#define Csc(x) (1 / sin(x))
#define Sec(x) (1 / cos(x))
#define Floor(x) (round(x))
#define Inverse(x) (1 / (x))
#define IsEven(x) ((x) % 2 == 0)
#define IsOdd(x) ((x) % 2 == 1)
#define IsInRange(val, min, max) ((min) <= (val) && (val) <= (max))
#define IsInteger(x) (Floor(x) == (x))
#define IsMultiple(x, y) ((x) % (y) == 0)
#define Lcm(a, b) (abs(a) / Gcd((a), (b)) * abs(b))
#define Root(n, x) ((x) ** (1 / (n)))
#define ToDegrees(radians) ((radians) * 57.2957795) // 180 / Pi
#define ToRadians(degrees) ((degrees) * 0.0174532925) // Pi / 180
#define SHORT_REAL_LIMIT 16777216
// Real modulus that handles decimals
#define MODULUS(x, y) ( (x) - (y) * round((x) / (y)) )
//"fancy" math for calculating time in ms from tick_usage percentage and the length of ticks
//percent_of_tick_used * (ticklag * 100(to convert to ms)) / 100(percent ratio)
//collapsed to percent_of_tick_used * tick_lag
#define TICK_DELTA_TO_MS(percent_of_tick_used) ((percent_of_tick_used) * world.tick_lag)
#define TICK_USAGE_TO_MS(starting_tickusage) (TICK_DELTA_TO_MS(TICK_USAGE_REAL - starting_tickusage))
//time of day but automatically adjusts to the server going into the next day within the same round.
//for when you need a reliable time number that doesn't depend on byond time.
#define REALTIMEOFDAY (world.timeofday + (MIDNIGHT_ROLLOVER * MIDNIGHT_ROLLOVER_CHECK))
#define MIDNIGHT_ROLLOVER_CHECK ( GLOB.rollovercheck_last_timeofday != world.timeofday ? update_midnight_rollover() : GLOB.midnight_rollovers )
#define CEILING(x, y) ( -round(-(x) / (y)) * (y) )
// round() acts like floor(x, 1) by default but can't handle other values
#define FLOOR(x, y) ( round((x) / (y)) * (y) )
// Will filter out extra rotations and negative rotations
// E.g: 540 becomes 180. -180 becomes 180.
#define SIMPLIFY_DEGREES(degrees) (MODULUS((degrees), 360))
#define GET_ANGLE_OF_INCIDENCE(face, input) (MODULUS((face) - (input), 360))