[Discuss] Experimental taxes - math check pls

[Jamie Cheyfetz]

On 10/31/06, Christopher Clarke <talkingrock at gmail.com> wrote:
> tax_base = round(gold value on region details * production % * days
> since last tax)
Close, but I think the taxes are checked every day.  But the idea is
right.  You also missed looting.

>
> tax_collected = round(tax_base * tax %)
>
> net_taxes = tax_collected - militia cost - maintenance cost

Looks right.

>
> oaths = round(net_taxes * oath %)
>
> to_realm = round(net_taxes * to realm %)

I'm not sure, but I think it might be:

to_realm = floor( net_taxes * to_realm_pct );
oaths_portion = net_taxes - to_realm;

I'm not a region commander on the test islands, so i can't check, but
I would think that the portion that is available for oaths is only
what remains after what is sent to the realm.  Now that I think on it
a bit more, I would think that the oaths would take priority over the
to_realm_pct.  Otherwise, it would be easy to "cheat" knights out of
gold by changing the to_realm_pct value after they had sworn.  So
perhaps it is like this instead:

oaths_portion = floor( net_taxes * total_oaths_pct );
to_realm = floor( ( net_taxes - oaths_portion ) * to_realm_pct );

>
> extra_tax = round(tax_base * extra tax %)
>
> lord share = extra_tax + (net_taxes - oaths - to_realm)
>