Dt

Dt is a real computation language, capable of solving differential equations to infinite precision. it is also rather confusing.

Specification

What	Explanation
λ func vars:	Define a function func with variable vars. also indents the block
Δ func vars	Apply a function with vars as input and set each variable to (prev * (1 - Δt) + new * Δt)
Η func vars	Apply a function with vars as input and set each variable to the result
var = val	Define a variable initialized with a value
О label	Jumps to a label
Ө var	Skips next instruction iff the variable var is strictly negative
label:	Makes a new label

It also comes with two predefined functions; Inc and Dec. they are self explanatory. Note: their effects are multiplied by Δt if called with Δ.

the closer to 0 Dt is, the more precise.

Examples

clear variable

; Call using Η to clear.
λ clear v:
    pos:
    Δ Dec v
    Ө X
    О pos
    neg:
    Δ Inc X
    Ө X
    О end
    О neg
    end:

addition and subtraction. call using H unless you want it to be continous, then call with Δ

λ add from to:
    temp = 0
    l0:
    Δ Dec from
    Δ Dec temp
    Ө from
    O l0
    l1:
    Δ Inc from
    Δ Inc temp
    Ө from
    O l2
    O l1
    l2:
    Δ Dec from
    Δ Dec to
    Δ Dec temp
    Ө temp
    O l2
    Δ Inc from
    Δ Inc to
    Δ Inc temp
    Ө temp
    O l3
    O l2
    l3:

λ sub from to:
    temp = 0
    l0:
    Δ Dec from
    Δ Dec temp
    Ө from
    O l0
    l1:
    Δ Inc from
    Δ Inc temp
    Ө from
    O l2
    O l1
    l2:
    Δ Dec from
    Δ Inc to
    Δ Dec temp
    Ө temp
    O l2
    Δ Inc from
    Δ Dec to
    Δ Inc temp
    Ө temp
    O l3
    O l2
    l3:

multiplication. uses the clear, addition and subtraction function. resets B

λ mult_resB A B C:
    H clear C
    pos:
    Δ add A C
    Ө temp
    O pos
    neg:
    Δ sub A C
    Ө temp
    O end
    O neg
    end:

Multiply input by 1/e by multiplying by (1-dt), 1/dt times. for dt = 0.005 and input 2, result is 0.7318, true result is 0.7357, and so 99% accuracy Uses the clear function in a continous way

λ dive A:
    ctr = 1.0
    loop:
    Δ dec ctr
    Δ clear v
    Ө ctr
    O loop