replaceitemandgnembon
a343c5d9f2
* Switch out l() syntax to [] in docs * Using map syntactic sugar as well. Co-authored-by: gnembon <41132274+gnembon@users.noreply.github.com>
2.3 KiB
Arithmetic operations
Basic Arithmetic Functions
There is bunch of them - they require a number and spit out a number, doing what you would expect them to do.
fact(n)
Factorial of a number, a.k.a n!, just not in scarpet. Gets big... quick...
sqrt(n)
Square root. For other fancy roots, use ^, math and yo noggin. Imagine square roots on a tree...
abs(n)
Absolut value.
round(n)
Closest integer value. Did you know the earth is also round?
floor(n)
Highest integer that is still no larger then n. Insert a floor pun here.
ceil(n)
First lucky integer that is not smalller than n. As you would expect, ceiling is typically right above the floor.
ln(n)
Natural logarithm of n. Naturally.
ln1p(n)
Natural logarithm of n+1. Very optimistic.
log10(n)
Decimal logarithm of n. Its ceiling is the length of its floor.
log(n)
Binary logarithm of n. Finally, a proper one, not like the previous 11.
log1p(n)
Binary logarithm of n+1. Also always positive.
mandelbrot(a, b, limit)
Computes the value of the mandelbrot set, for set a and b spot. Spot the beetle. Why not.
min(arg, ...), min(list), max(arg, ...), max(list)
Compute minimum or maximum of supplied arguments assuming default sorthoraphical order.
In case you are missing argmax, just use a ~ max(a), little less efficient, but still fun.
Interesting bit - min and max don't remove variable associations from arguments, which means can be used as
LHS of assignments (obvious case), or argument spec in function definitions (far less obvious).
a = 1; b = 2; min(a,b) = 3; [a,b] => [3, 2] a = 1; b = 2; fun(x, min(a,b)) -> [a,b]; fun(3,5) => [5, 0]
Absolutely no idea, how the latter might be useful in practice. But since it compiles, can ship it.
relu(n)
Linear rectifier of n. 0 below 0, n above. Why not. max(0,n) with less moral repercussions.
Trigonometric / Geometric Functions
sin(x)
cos(x)
tan(x)
asin(x)
acos(x)
atan(x)
atan2(x,y)
sinh(x)
cosh(x)
tanh(x)
sec(x)
csc(x)
sech(x)
csch(x)
cot(x)
acot(x)
coth(x)
asinh(x)
acosh(x)
atanh(x)
rad(deg)
deg(rad)
Use as you wish