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mirror of https://codeberg.org/tenplus1/farming.git synced 2025-06-29 14:50:52 +02:00

Code tweak and tidy, fixed rhubarb spawning

This commit is contained in:
TenPlus1
2015-12-08 14:47:22 +00:00
parent dc894725c7
commit 171a67ebf2
5 changed files with 168 additions and 44 deletions

View File

@ -1,9 +1,9 @@
local statistics = {}
local ROOT_2 = math.sqrt(2.0)
-- Approximations for erf(x) and erfInv(x) from
-- https://en.wikipedia.org/wiki/Error_function
-- https://en.wikipedia.org/wiki/Error_function
local erf
local erf_inv
@ -13,19 +13,26 @@ local C = 2.0/(math.pi * A)
local D = 1.0 / A
erf = function(x)
if x == 0 then return 0; end
local xSq = x * x
local aXSq = A * xSq
local v = math.sqrt(1.0 - math.exp(-xSq * (B + aXSq) / (1.0 + aXSq)))
return (x > 0 and v) or -v
end
erf_inv = function(x)
if x == 0 then return 0; end
if x <= -1 or x >= 1 then return nil; end
local y = math.log(1 - x * x)
local u = C + 0.5 * y
local v = math.sqrt(math.sqrt(u * u - D * y) - u)
return (x > 0 and v) or -v
end
@ -37,6 +44,7 @@ local poisson
local cdf_table = {}
local function generate_cdf(lambda_index, lambda)
local max = math.ceil(4 * lambda)
local pdf = math.exp(-lambda)
local cdf = pdf
@ -56,6 +64,7 @@ for li = 1, 100 do
end
poisson = function(lambda, max)
if max < 2 then
return (math.random() < math.exp(-lambda) and 0) or 1
elseif lambda >= 2 * max then
@ -67,6 +76,7 @@ poisson = function(lambda, max)
local cdfs = cdf_table[lambda_index]
if cdfs then
lambda = 0.25 * lambda_index
if u < cdfs[0] then return 0; end
@ -74,9 +84,13 @@ poisson = function(lambda, max)
if u >= cdfs[max - 1] then return max; end
if max > 4 then -- Binary search
local s = 0
while s + 1 < max do
local m = math.floor(0.5 * (s + max))
if u < cdfs[m] then max = m; else s = m; end
end
else
@ -88,6 +102,7 @@ poisson = function(lambda, max)
return max
else
local x = lambda + math.sqrt(lambda) * std_normal(u)
return (x < 0.5 and 0) or (x >= max - 0.5 and max) or math.floor(x + 0.5)
end
end
@ -102,14 +117,17 @@ statistics.erf_inv = erf_inv
--
-- @return
-- Any real number (actually between -3.0 and 3.0).
--
statistics.std_normal = function()
local u = math.random()
if u < 0.001 then
return -3.0
elseif u > 0.999 then
return 3.0
end
return std_normal(u)
end
@ -121,14 +139,17 @@ end
-- The distribution standard deviation.
-- @return
-- Any real number (actually between -3*sigma and 3*sigma).
--
statistics.normal = function(mu, sigma)
local u = math.random()
if u < 0.001 then
return mu - 3.0 * sigma
elseif u > 0.999 then
return mu + 3.0 * sigma
end
return mu + sigma * std_normal(u)
end
@ -140,11 +161,14 @@ end
-- The distribution maximum.
-- @return
-- An integer between 0 and max (both inclusive).
--
statistics.poisson = function(lambda, max)
lambda, max = tonumber(lambda), tonumber(max)
if not lambda or not max or lambda <= 0 or max < 1 then return 0; end
return poisson(lambda, max)
end
return statistics
return statistics