Tarso

Tarso is a library datapack containing general mathematical utilities for score calculations without using macro functions.

Usage

Calculation

To calculation, put the score in math.target and (maybe) math.source, then call operations, the score returned will be presented in math.target.

Operation	Function	General Expression	Desciption
Left Shift	math:ls	math.target = math.target >> math.source
Right Shift	math:rs	math.target = math.target << math.source
Addition	math:add	math.target = math.target + math.source
Multiplication	math:mul	math.target = math.target * math.source
Power	math:pow	math.target = math.target ^ math.source
Subtraction	math:sub	math.target = math.target - math.source
Division	math:div	math.target = math.target / math.source
Logarithm	math:log	math.target = log math.source (math.target)
Common Logarithm	math:lg	math.target = log 10 (math.target)
Natural Logarithm	math:ln	math.target = log 2 (math.target)
Square Root	math:sqrt	math.target = sqrt(math.target)
Modulus	math:mod	math.target = math.target % math.source
Remainder	math:rem	math.target = math.target % math.source
Negativity	math:neg	math.target = -math.target
Absolutation	math:abs	math.target = (math.target < 0) ? -math.target : math.target
Sign	math:sig	math.target = math.target / (math.target < 0) ? -math.target : math.target
Factorial	math:fact	math.target = math.target!
Permutation	math:perm	math.target = P(math.target, math.source)
Combination	math:comb	math.target = C(math.target, math.source)
Hypot	math:hyp	math.target = sqrt(**math.target + **math.source)
Vector	math:vec	math.x = CORDIC(math.target).x math.y = CORDIC(math.target).y	Precision is controled by math.source.
Tangent	math:tan	math.target = tan(math.target)	Precision is controled by math.source.
Cotangent	math:cot	math.target = cot(math.target)	Precision is controled by math.source.
Sine	math:sin	math.target = sin(math.target)	Precision is controled by math.source.
Cosine	math:cos	math.target = cos(math.target)	Precision is controled by math.source.

The Stack

Tarso comes with a stack of 16 sorts. To transfer scores, put the score in math.buffer before pushing and the score poped out will be presented in math.buffer.

Operation	Function
Push	math:push
Pop	math:pop
Seek	math:seek

Notes

1. Objectives other than those belong to the stack can be overwritten during calculations.

2. Pushing a score into the stack while it's full make no sense.

FAQ

1. Why is the natural logarithm inaccurate?

It cannot be fixed except using large-number calculation, which is extremely slow. Currently it has a base of 2.