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Add Simplex shake, with test collection.
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--[[ | ||
The MIT License (MIT) | ||
Copyright (c) 2019 Christopher E. Moore ( [email protected] / http://christopheremoore.net ) | ||
Permission is hereby granted, free of charge, to any person obtaining a copy of | ||
this software and associated documentation files (the "Software"), to deal in | ||
the Software without restriction, including without limitation the rights to | ||
use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of | ||
the Software, and to permit persons to whom the Software is furnished to do so, | ||
subject to the following conditions: | ||
The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS | ||
FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR | ||
COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER | ||
IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN | ||
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. | ||
--]] | ||
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-- local bit = bit32 or require 'bit' | ||
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-- 2D simplex noise | ||
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local grad3 = { | ||
{1,1,0},{-1,1,0},{1,-1,0},{-1,-1,0}, | ||
{1,0,1},{-1,0,1},{1,0,-1},{-1,0,-1}, | ||
{0,1,1},{0,-1,1},{0,1,-1},{0,-1,-1} | ||
} | ||
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local p = {151,160,137,91,90,15, | ||
131,13,201,95,96,53,194,233,7,225,140,36,103,30,69,142,8,99,37,240,21,10,23, | ||
190, 6,148,247,120,234,75,0,26,197,62,94,252,219,203,117,35,11,32,57,177,33, | ||
88,237,149,56,87,174,20,125,136,171,168, 68,175,74,165,71,134,139,48,27,166, | ||
77,146,158,231,83,111,229,122,60,211,133,230,220,105,92,41,55,46,245,40,244, | ||
102,143,54, 65,25,63,161, 1,216,80,73,209,76,132,187,208, 89,18,169,200,196, | ||
135,130,116,188,159,86,164,100,109,198,173,186, 3,64,52,217,226,250,124,123, | ||
5,202,38,147,118,126,255,82,85,212,207,206,59,227,47,16,58,17,182,189,28,42, | ||
223,183,170,213,119,248,152, 2,44,154,163, 70,221,153,101,155,167, 43,172,9, | ||
129,22,39,253, 19,98,108,110,79,113,224,232,178,185, 112,104,218,246,97,228, | ||
251,34,242,193,238,210,144,12,191,179,162,241, 81,51,145,235,249,14,239,107, | ||
49,192,214, 31,181,199,106,157,184, 84,204,176,115,121,50,45,127, 4,150,254, | ||
138,236,205,93,222,114,67,29,24,72,243,141,128,195,78,66,215,61,156,180} | ||
local perm = {} | ||
for i=0,511 do | ||
perm[i+1] = p[bit.band(i, 255) + 1] | ||
end | ||
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local function dot(g, ...) | ||
local v = {...} | ||
local sum = 0 | ||
for i=1,#v do | ||
sum = sum + v[i] * g[i] | ||
end | ||
return sum | ||
end | ||
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local function noise(xin, yin) | ||
local n0, n1, n2 -- Noise contributions from the three corners | ||
-- Skew the input space to determine which simplex cell we're in | ||
local F2 = 0.5*(math.sqrt(3.0)-1.0) | ||
local s = (xin+yin)*F2; -- Hairy factor for 2D | ||
local i = math.floor(xin+s) | ||
local j = math.floor(yin+s) | ||
local G2 = (3.0-math.sqrt(3.0))/6.0 | ||
local t = (i+j)*G2 | ||
local X0 = i-t -- Unskew the cell origin back to (x,y) space | ||
local Y0 = j-t | ||
local x0 = xin-X0 -- The x,y distances from the cell origin | ||
local y0 = yin-Y0 | ||
-- For the 2D case, the simplex shape is an equilateral triangle. | ||
-- Determine which simplex we are in. | ||
local i1, j1 -- Offsets for second (middle) corner of simplex in (i,j) coords | ||
if x0 > y0 then | ||
i1 = 1 | ||
j1 = 0 -- lower triangle, XY order: (0,0)->(1,0)->(1,1) | ||
else | ||
i1 = 0 | ||
j1 = 1 | ||
end-- upper triangle, YX order: (0,0)->(0,1)->(1,1) | ||
-- A step of (1,0) in (i,j) means a step of (1-c,-c) in (x,y), and | ||
-- a step of (0,1) in (i,j) means a step of (-c,1-c) in (x,y), where | ||
-- c = (3-sqrt(3))/6 | ||
local x1 = x0 - i1 + G2 -- Offsets for middle corner in (x,y) unskewed coords | ||
local y1 = y0 - j1 + G2 | ||
local x2 = x0 - 1 + 2 * G2 -- Offsets for last corner in (x,y) unskewed coords | ||
local y2 = y0 - 1 + 2 * G2 | ||
-- Work out the hashed gradient indices of the three simplex corners | ||
local ii = bit.band(i, 255) | ||
local jj = bit.band(j, 255) | ||
local gi0 = perm[ii + perm[jj+1]+1] % 12 | ||
local gi1 = perm[ii + i1 + perm[jj + j1+1]+1] % 12 | ||
local gi2 = perm[ii + 1 + perm[jj + 1+1]+1] % 12 | ||
-- Calculate the contribution from the three corners | ||
local t0 = 0.5 - x0 * x0 - y0 * y0 | ||
if t0 < 0 then | ||
n0 = 0.0 | ||
else | ||
t0 = t0 * t0 | ||
n0 = t0 * t0 * dot(grad3[gi0+1], x0, y0) -- (x,y) of grad3 used for 2D gradient | ||
end | ||
local t1 = 0.5 - x1 * x1 - y1 * y1 | ||
if t1 < 0 then | ||
n1 = 0.0 | ||
else | ||
t1 = t1 * t1 | ||
n1 = t1 * t1 * dot(grad3[gi1+1], x1, y1) | ||
end | ||
local t2 = 0.5 - x2 * x2 - y2 * y2 | ||
if t2 < 0 then | ||
n2 = 0.0 | ||
else | ||
t2 = t2 * t2 | ||
n2 = t2 * t2 * dot(grad3[gi2+1], x2, y2) | ||
end | ||
-- Add contributions from each corner to get the final noise value. | ||
-- The result is scaled to return values in the interval [-1,1]. | ||
return 70.0 * (n0 + n1 + n2) | ||
end | ||
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return noise |
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