std-math

Standard mathematics library providing common scientific functions.

Standard Functions

Functions take both floating point and integer values unless otherwise stated

• math.abs(x) - returns the absolute value (or magnitude) of a number, thus always non-negative
• math.exp(x) - returns e**x, the natural exponentiation
• math.log(x) - returns the natural logarithm of x
• math.sqrt(x) - returns the square-root of x
• math.pi - the floating point representation of π within YASL
• math.cos(x), math.sin(x), math.tan(x) - the respective trigonometric functions taking an angle in radians
• math.acos(x), math.asin(x), math.atan(x) - the inverse trigonometric functions returning an angle in radians in the range [-π/2, π/2]
• math.ceil(x) - returns the integer closest to x such that it is greater-than or equal-to x
• math.floor(x) - returns the integer closest to x such that it is less-than or equal-to x
• math.deg(x) - treats x as an angle in radians and returns the equivalent angle in degrees
• math.rad(x) - treats x as an angle in degrees and returns the equivalent angle in radians

Number Theoretic Functions

Function arguments will be type cast to integers unless otherwise specified

• math.isprime(n) - if n >= 2 then returns true iff n is prime, else undef
• math.gcd(a, b) - if a > 0 & b > 0 then return the greatest common divisor of a and b, else undef
• math.lcm(a, b) - if a > 0 & b > 0 then return the lowest common multiple of a and b, else undef

Misc.

• math.rand() - returns a pseudo-random 64-bit signed integer from a uniform distribution