path: root/honey/asset/mesh.lua

local gl = honey.gl

local module = {}
setmetatable(module, {__index=_G})
setfenv(1, module)


-- append the 8 floats per vertex to the vertices table
local function insertVertex(vertices, attrib, vertex)
	local pos = 3*vertex.v_idx
	for i=1,3 do
		table.insert(vertices, attrib.vertices[pos+i])
	end

	local normal = 3*vertex.vn_idx
	for i=1,3 do
		table.insert(vertices, attrib.normals[normal+i])
	end

	local tex = 2*vertex.vt_idx
	for i=1,2 do
		table.insert(vertices, attrib.texcoords[tex+i])
	end
end


-- creates a table of floats representing vertex data
-- and a table of ints representing face indices within the vertices
local function loadShape(shape, attrib, debug)
	local vertices = {}
	local indices = {}

	local start = shape.face_offset
	local finish = start + shape.length
	for i=start,finish-1 do
		assert(attrib.face_num_verts[i+1] == 3, "non-triangular face!")
		for j=0,2 do
			local vertex = attrib.faces[(3*i) + j + 1]
			insertVertex(vertices, attrib, vertex, debug)
			table.insert(indices, #indices)
		end
	end

	if true then
	-- helpful block for creating the builtin meshes
		io.write("{")
		for i, vertex in ipairs(vertices) do
			io.write(string.format("%f, ", vertex))
			if (i) % 8 == 0 then print() end
		end
		print("}")
	
		io.write("{")
		for _, index in ipairs(indices) do
			io.write(string.format("%d, ", index))
		end
		print("}")
		print()
	end

	return vertices, indices
end


-- public helper function (used in some other places, like trimesh construction)
-- packages the vertices & indices tables from loadShape into a single array
loadFile = function(filename)
	local flags = honey.tinyobj.FLAG_TRIANGULATE
	local attrib, shapes, materials = honey.tinyobj.parse_obj(filename, flags)
	
	local meshes = {}
	for _, shape in ipairs(shapes) do
		local vertices, indices = loadShape(shape, attrib, debug)
		table.insert(meshes, {vertices=vertices, indices=indices})
	end
	return meshes
end


-- helper function to create a gl vertex array object from (vertices, indices) pair
local function createMesh(vertices, indices)
	vao = gl.GenVertexArrays()
	vbo = gl.GenBuffers()
	ebo = gl.GenBuffers()

	gl.BindVertexArray(vao)
	gl.BindBuffer(gl.ARRAY_BUFFER, vbo)
	gl.BufferData(gl.ARRAY_BUFFER, gl.FLOAT, vertices, gl.STATIC_DRAW)

	gl.BindBuffer(gl.ELEMENT_ARRAY_BUFFER, ebo)
	gl.BufferData(gl.ELEMENT_ARRAY_BUFFER, gl.UNSIGNED_INT, indices, gl.STATIC_DRAW)

	local stride = 8
	local offset = 0
	
	-- position
	gl.VertexAttribPointer(0, 3, false, stride, offset)
	gl.EnableVertexAttribArray(0)
	offset = offset+3

	-- normal
	gl.VertexAttribPointer(1, 3, false, stride, offset)
	gl.EnableVertexAttribArray(1)
	offset = offset+3

	-- texture
	gl.VertexAttribPointer(2, 2, false, stride, offset)
	gl.EnableVertexAttribArray(2)
	offset = offset+2

	return vao, vbo, ebo, #vertices
end


local cache = {}


-- get a gl vertex array object + vertex count
get = function(filename, index)
	if not cache[filename] then
		local c = {}
		local meshes = loadFile(filename)
		for _, m in ipairs(meshes) do
			local vao, vbo, ebo, count = createMesh(m.vertices, m.indices)
			table.insert(c, { vao=vao, vbo=vbo, ebo=ebo, count=count })
		end
		cache[filename] = c
	end
	local m = cache[filename][index]
	return m.vao, m.count
end


-- forget a mesh
forget = function(filename)
	if not cache[filename] then return end
	for _, m in ipairs(cache[filename]) do
		gl.DeleteBuffers(m.vbo)
		gl.DeleteBuffers(m.ebo)
		gl.DeleteVertexArrays(m.vao)
	end
	cache[filename] = nil
end


-- clear the cache
clearCache = function()
	for key in pairs(cache) do
		forget(key)
	end
end


--===== builtin meshes =====--

local function builtin(name, vertices, indices)
	local vao, vbo, ebo, count = createMesh(vertices, indices)
	cache[name] = { {vao=vao, vbo=vbo, ebo=ebo, count=count } }
end

init = function()
	builtin(
		"builtin.quad",
		{ 0, 0, 0,   0, 1, 0,   0, 0,
		  1, 0, 0,   0, 1, 0,   1, 0,
		  0, 1, 0,   0, 1, 0,   0, 1,
		  1, 1, 0,   0, 1, 0,   1, 1 },
		{ 0, 1, 3, 0, 3, 2 }
	)

	builtin(
		"builtin.cube",
		{
			-0.5, 0.5, 0.5,    -1, 0, 0,    0.625, 0,
			-0.5, -0.5, -0.5,  -1, 0, 0,    0.375, 0.25, 
			-0.5, -0.5, 0.5,   -1, 0, 0,    0.375, 0, 
			-0.5, 0.5, -0.5,    0, 0, -1,   0.625, 0.25, 
			 0.5, -0.5, -0.5,   0, 0, -1,   0.375, 0.5, 
			-0.5, -0.5, -0.5,   0, 0, -1,   0.375, 0.25,
			 0.5, 0.5, -0.5,    1, 0, 0,    0.625, 0.5,
			 0.5, -0.5, 0.5,    1, 0, 0,    0.375, 0.75,
			 0.5, -0.5, -0.5,   1, 0, 0,    0.375, 0.5,
			 0.5, 0.5, 0.5,     0, 0, 1,    0.625, 0.75,
			-0.5, -0.5, 0.5,    0, 0, 1,    0.375, 1,
			 0.5, -0.5, 0.5,    0, 0, 1,    0.375, 0.75,
			 0.5, -0.5, -0.5,   0, -1, 0,   0.375, 0.5,
			-0.5, -0.5, 0.5,    0, -1, 0,   0.125, 0.75,
			-0.5, -0.5, -0.5,   0, -1, 0,   0.125, 0.5,
			-0.5, 0.5, -0.5,    0, 1, 0,    0.875, 0.5,
			 0.5, 0.5, 0.5,     0, 1, 0,    0.625, 0.75,
			 0.5, 0.5, -0.5,    0, 1, 0,    0.625, 0.5,
			-0.5, 0.5, 0.5,    -1, 0, 0,    0.625, 0,
			-0.5, 0.5, -0.5,   -1, 0, 0,    0.625, 0.25,
			-0.5, -0.5, -0.5,  -1, 0, 0,    0.375, 0.25,
			-0.5, 0.5, -0.5,    0, 0, -1,   0.625, 0.25,
			 0.5, 0.5, -0.5,    0, 0, -1,   0.625, 0.5,
			 0.5, -0.5, -0.5,   0, 0, -1,   0.375, 0.5,
			 0.5, 0.5, -0.5,    1, 0, 0,    0.625, 0.5,
			 0.5, 0.5, 0.5,     1, 0, 0,    0.625, 0.75,
			 0.5, -0.5, 0.5,    1, 0, 0,    0.375, 0.75,
			 0.5, 0.5, 0.5,     0, 0, 1,    0.625, 0.75,
			-0.5, 0.5, 0.5,     0, 0, 1,    0.625, 1,
			-0.5, -0.5, 0.5,    0, 0, 1,    0.375, 1,
			 0.5, -0.5, -0.5,   0, -1, 0,   0.375, 0.5,
			 0.5, -0.5, 0.5,    0, -1, 0,   0.375, 0.75,
			-0.5, -0.5, 0.5,    0, -1, 0,   0.125, 0.75,
			-0.5, 0.5, -0.5,    0, 1, 0,    0.875, 0.5,
			-0.5, 0.5, 0.5,     0, 1, 0,    0.875, 0.75,
			 0.5, 0.5, 0.5,     0, 1, 0,    0.625, 0.75
		},
		{
			0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 11,
			12, 13, 14, 15, 16, 17, 18, 19,
			2, 21, 22, 23, 24, 25, 26, 27,
			28, 29, 3, 31, 32, 33, 34, 35
		}	
	)

	builtin(
		"builtin.hemisphere",
		{
			0.000000, 0.831470, -0.555570, 0.046400, 0.881000, -0.470900, 0.750000, 0.812500,
			0.074658, 0.923880, -0.375330, 0.046400, 0.881000, -0.470900, 0.718750, 0.875000,
			0.108386, 0.831470, -0.544895, 0.046400, 0.881000, -0.470900, 0.718750, 0.812500,
			0.000000, 0.707107, -0.707107, 0.062400, 0.771500, -0.633200, 0.750000, 0.750000,
			0.108386, 0.831470, -0.544895, 0.062400, 0.771500, -0.633200, 0.718750, 0.812500,
			0.137950, 0.707107, -0.693520, 0.062400, 0.771500, -0.633200, 0.718750, 0.750000,
			0.000000, 0.555570, -0.831470, 0.075900, 0.632600, -0.770800, 0.750000, 0.687500,
			0.137950, 0.707107, -0.693520, 0.075900, 0.632600, -0.770800, 0.718750, 0.750000,
			0.162212, 0.555570, -0.815493, 0.075900, 0.632600, -0.770800, 0.718750, 0.687500,
			0.000000, 0.382683, -0.923879, 0.086500, 0.469600, -0.878600, 0.750000, 0.625000,
			0.162212, 0.555570, -0.815493, 0.086500, 0.469600, -0.878600, 0.718750, 0.687500,
			0.180240, 0.382683, -0.906127, 0.086500, 0.469600, -0.878600, 0.718750, 0.625000,
			0.000000, 0.195090, -0.980785, 0.093800, 0.289000, -0.952700, 0.750000, 0.562500,
			0.180240, 0.382683, -0.906127, 0.093800, 0.289000, -0.952700, 0.718750, 0.625000,
			0.191342, 0.195090, -0.961940, 0.093800, 0.289000, -0.952700, 0.718750, 0.562500,
			0.000000, 0.195090, -0.980785, 0.097500, 0.097500, -0.990400, 0.750000, 0.562500,
			0.195090, 0.000000, -0.980785, 0.097500, 0.097500, -0.990400, 0.718750, 0.500000,
			0.000000, 0.000000, -1.000000, 0.097500, 0.097500, -0.990400, 0.750000, 0.500000,
			0.000000, 0.980785, -0.195090, 0.009700, 0.995100, -0.098000, 0.750000, 0.937500,
			0.000000, 1.000000, 0.000000, 0.009700, 0.995100, -0.098000, 0.734375, 1.000000,
			0.038060, 0.980785, -0.191342, 0.009700, 0.995100, -0.098000, 0.718750, 0.937500,
			0.000000, 0.923880, -0.382683, 0.028600, 0.956500, -0.290200, 0.750000, 0.875000,
			0.038060, 0.980785, -0.191342, 0.028600, 0.956500, -0.290200, 0.718750, 0.937500,
			0.074658, 0.923880, -0.375330, 0.028600, 0.956500, -0.290200, 0.718750, 0.875000,
			0.038060, 0.980785, -0.191342, 0.028600, 0.995100, -0.094200, 0.718750, 0.937500,
			0.000000, 1.000000, 0.000000, 0.028600, 0.995100, -0.094200, 0.703125, 1.000000,
			0.074658, 0.980785, -0.180240, 0.028600, 0.995100, -0.094200, 0.687500, 0.937500,
			0.038060, 0.980785, -0.191342, 0.084600, 0.956500, -0.279000, 0.718750, 0.937500,
			0.146447, 0.923880, -0.353553, 0.084600, 0.956500, -0.279000, 0.687500, 0.875000,
			0.074658, 0.923880, -0.375330, 0.084600, 0.956500, -0.279000, 0.718750, 0.875000,
			0.074658, 0.923880, -0.375330, 0.137400, 0.881000, -0.452800, 0.718750, 0.875000,
			0.212608, 0.831470, -0.513280, 0.137400, 0.881000, -0.452800, 0.687500, 0.812500,
			0.108386, 0.831470, -0.544895, 0.137400, 0.881000, -0.452800, 0.718750, 0.812500,
			0.108386, 0.831470, -0.544895, 0.184700, 0.771500, -0.608800, 0.718750, 0.812500,
			0.270598, 0.707107, -0.653281, 0.184700, 0.771500, -0.608800, 0.687500, 0.750000,
			0.137950, 0.707107, -0.693520, 0.184700, 0.771500, -0.608800, 0.718750, 0.750000,
			0.137950, 0.707107, -0.693520, 0.224800, 0.632600, -0.741200, 0.718750, 0.750000,
			0.318190, 0.555570, -0.768178, 0.224800, 0.632600, -0.741200, 0.687500, 0.687500,
			0.162212, 0.555570, -0.815493, 0.224800, 0.632600, -0.741200, 0.718750, 0.687500,
			0.162212, 0.555570, -0.815493, 0.256300, 0.469600, -0.844800, 0.718750, 0.687500,
			0.353553, 0.382683, -0.853553, 0.256300, 0.469600, -0.844800, 0.687500, 0.625000,
			0.180240, 0.382683, -0.906127, 0.256300, 0.469600, -0.844800, 0.718750, 0.625000,
			0.191342, 0.195090, -0.961940, 0.277900, 0.289000, -0.916100, 0.718750, 0.562500,
			0.353553, 0.382683, -0.853553, 0.277900, 0.289000, -0.916100, 0.687500, 0.625000,
			0.375330, 0.195090, -0.906127, 0.277900, 0.289000, -0.916100, 0.687500, 0.562500,
			0.191342, 0.195090, -0.961940, 0.288900, 0.097500, -0.952400, 0.718750, 0.562500,
			0.382683, 0.000000, -0.923879, 0.288900, 0.097500, -0.952400, 0.687500, 0.500000,
			0.195090, 0.000000, -0.980785, 0.288900, 0.097500, -0.952400, 0.718750, 0.500000,
			0.270598, 0.707107, -0.653281, 0.365100, 0.632600, -0.683100, 0.687500, 0.750000,
			0.461940, 0.555570, -0.691342, 0.365100, 0.632600, -0.683100, 0.656250, 0.687500,
			0.318190, 0.555570, -0.768178, 0.365100, 0.632600, -0.683100, 0.687500, 0.687500,
			0.318190, 0.555570, -0.768178, 0.416200, 0.469600, -0.778600, 0.687500, 0.687500,
			0.513280, 0.382683, -0.768178, 0.416200, 0.469600, -0.778600, 0.656250, 0.625000,
			0.353553, 0.382683, -0.853553, 0.416200, 0.469600, -0.778600, 0.687500, 0.625000,
			0.353553, 0.382683, -0.853553, 0.451300, 0.289000, -0.844300, 0.687500, 0.625000,
			0.544895, 0.195090, -0.815493, 0.451300, 0.289000, -0.844300, 0.656250, 0.562500,
			0.375330, 0.195090, -0.906127, 0.451300, 0.289000, -0.844300, 0.687500, 0.562500,
			0.375330, 0.195090, -0.906127, 0.469100, 0.097500, -0.877700, 0.687500, 0.562500,
			0.555570, 0.000000, -0.831469, 0.469100, 0.097500, -0.877700, 0.656250, 0.500000,
			0.382683, 0.000000, -0.923879, 0.469100, 0.097500, -0.877700, 0.687500, 0.500000,
			0.074658, 0.980785, -0.180240, 0.046400, 0.995100, -0.086900, 0.687500, 0.937500,
			0.000000, 1.000000, 0.000000, 0.046400, 0.995100, -0.086900, 0.671875, 1.000000,
			0.108386, 0.980785, -0.162212, 0.046400, 0.995100, -0.086900, 0.656250, 0.937500,
			0.074658, 0.980785, -0.180240, 0.137400, 0.956500, -0.257100, 0.687500, 0.937500,
			0.212608, 0.923880, -0.318190, 0.137400, 0.956500, -0.257100, 0.656250, 0.875000,
			0.146447, 0.923880, -0.353553, 0.137400, 0.956500, -0.257100, 0.687500, 0.875000,
			0.146447, 0.923880, -0.353553, 0.223000, 0.881000, -0.417300, 0.687500, 0.875000,
			0.308658, 0.831470, -0.461940, 0.223000, 0.881000, -0.417300, 0.656250, 0.812500,
			0.212608, 0.831470, -0.513280, 0.223000, 0.881000, -0.417300, 0.687500, 0.812500,
			0.212608, 0.831470, -0.513280, 0.299900, 0.771500, -0.561100, 0.687500, 0.812500,
			0.392847, 0.707107, -0.587938, 0.299900, 0.771500, -0.561100, 0.656250, 0.750000,
			0.270598, 0.707107, -0.653281, 0.299900, 0.771500, -0.561100, 0.687500, 0.750000,
			0.108386, 0.980785, -0.162212, 0.185000, 0.956500, -0.225400, 0.656250, 0.937500,
			0.270598, 0.923880, -0.270598, 0.185000, 0.956500, -0.225400, 0.625000, 0.875000,
			0.212608, 0.923880, -0.318190, 0.185000, 0.956500, -0.225400, 0.656250, 0.875000,
			0.212608, 0.923880, -0.318190, 0.300200, 0.881000, -0.365800, 0.656250, 0.875000,
			0.392847, 0.831470, -0.392847, 0.300200, 0.881000, -0.365800, 0.625000, 0.812500,
			0.308658, 0.831470, -0.461940, 0.300200, 0.881000, -0.365800, 0.656250, 0.812500,
			0.308658, 0.831470, -0.461940, 0.403600, 0.771500, -0.491800, 0.656250, 0.812500,
			0.500000, 0.707107, -0.500000, 0.403600, 0.771500, -0.491800, 0.625000, 0.750000,
			0.392847, 0.707107, -0.587938, 0.403600, 0.771500, -0.491800, 0.656250, 0.750000,
			0.392847, 0.707107, -0.587938, 0.491300, 0.632600, -0.598700, 0.656250, 0.750000,
			0.587938, 0.555570, -0.587938, 0.491300, 0.632600, -0.598700, 0.625000, 0.687500,
			0.461940, 0.555570, -0.691342, 0.491300, 0.632600, -0.598700, 0.656250, 0.687500,
			0.461940, 0.555570, -0.691342, 0.560100, 0.469600, -0.682500, 0.656250, 0.687500,
			0.653281, 0.382683, -0.653281, 0.560100, 0.469600, -0.682500, 0.625000, 0.625000,
			0.513280, 0.382683, -0.768178, 0.560100, 0.469600, -0.682500, 0.656250, 0.625000,
			0.544895, 0.195090, -0.815493, 0.607300, 0.289000, -0.740000, 0.656250, 0.562500,
			0.653281, 0.382683, -0.653281, 0.607300, 0.289000, -0.740000, 0.625000, 0.625000,
			0.693520, 0.195090, -0.693520, 0.607300, 0.289000, -0.740000, 0.625000, 0.562500,
			0.555570, 0.000000, -0.831469, 0.631400, 0.097500, -0.769300, 0.656250, 0.500000,
			0.693520, 0.195090, -0.693520, 0.631400, 0.097500, -0.769300, 0.625000, 0.562500,
			0.707107, 0.000000, -0.707107, 0.631400, 0.097500, -0.769300, 0.625000, 0.500000,
			0.108386, 0.980785, -0.162212, 0.062500, 0.995100, -0.076100, 0.656250, 0.937500,
			0.000000, 1.000000, 0.000000, 0.062500, 0.995100, -0.076100, 0.640625, 1.000000,
			0.137950, 0.980785, -0.137950, 0.062500, 0.995100, -0.076100, 0.625000, 0.937500,
			0.587938, 0.555570, -0.587938, 0.682500, 0.469600, -0.560100, 0.625000, 0.687500,
			0.768178, 0.382683, -0.513280, 0.682500, 0.469600, -0.560100, 0.593750, 0.625000,
			0.653281, 0.382683, -0.653281, 0.682500, 0.469600, -0.560100, 0.625000, 0.625000,
			0.693520, 0.195090, -0.693520, 0.740000, 0.289000, -0.607300, 0.625000, 0.562500,
			0.768178, 0.382683, -0.513280, 0.740000, 0.289000, -0.607300, 0.593750, 0.625000,
			0.815493, 0.195090, -0.544895, 0.740000, 0.289000, -0.607300, 0.593750, 0.562500,
			0.707107, 0.000000, -0.707107, 0.769300, 0.097500, -0.631400, 0.625000, 0.500000,
			0.815493, 0.195090, -0.544895, 0.769300, 0.097500, -0.631400, 0.593750, 0.562500,
			0.831470, 0.000000, -0.555570, 0.769300, 0.097500, -0.631400, 0.593750, 0.500000,
			0.137950, 0.980785, -0.137950, 0.076100, 0.995100, -0.062500, 0.625000, 0.937500,
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			0.162212, 0.980785, -0.108386, 0.076100, 0.995100, -0.062500, 0.593750, 0.937500,
			0.137950, 0.980785, -0.137950, 0.225400, 0.956500, -0.185000, 0.625000, 0.937500,
			0.318190, 0.923880, -0.212608, 0.225400, 0.956500, -0.185000, 0.593750, 0.875000,
			0.270598, 0.923880, -0.270598, 0.225400, 0.956500, -0.185000, 0.625000, 0.875000,
			0.270598, 0.923880, -0.270598, 0.365800, 0.881000, -0.300200, 0.625000, 0.875000,
			0.461940, 0.831470, -0.308658, 0.365800, 0.881000, -0.300200, 0.593750, 0.812500,
			0.392847, 0.831470, -0.392847, 0.365800, 0.881000, -0.300200, 0.625000, 0.812500,
			0.392847, 0.831470, -0.392847, 0.491800, 0.771500, -0.403600, 0.625000, 0.812500,
			0.587938, 0.707107, -0.392847, 0.491800, 0.771500, -0.403600, 0.593750, 0.750000,
			0.500000, 0.707107, -0.500000, 0.491800, 0.771500, -0.403600, 0.625000, 0.750000,
			0.587938, 0.555570, -0.587938, 0.598700, 0.632600, -0.491300, 0.625000, 0.687500,
			0.587938, 0.707107, -0.392847, 0.598700, 0.632600, -0.491300, 0.593750, 0.750000,
			0.691342, 0.555570, -0.461940, 0.598700, 0.632600, -0.491300, 0.593750, 0.687500,
			0.318190, 0.923880, -0.212608, 0.417300, 0.881000, -0.223100, 0.593750, 0.875000,
			0.513280, 0.831470, -0.212607, 0.417300, 0.881000, -0.223100, 0.562500, 0.812500,
			0.461940, 0.831470, -0.308658, 0.417300, 0.881000, -0.223100, 0.593750, 0.812500,
			0.461940, 0.831470, -0.308658, 0.561100, 0.771500, -0.299900, 0.593750, 0.812500,
			0.653281, 0.707107, -0.270598, 0.561100, 0.771500, -0.299900, 0.562500, 0.750000,
			0.587938, 0.707107, -0.392847, 0.561100, 0.771500, -0.299900, 0.593750, 0.750000,
			0.691342, 0.555570, -0.461940, 0.683100, 0.632600, -0.365100, 0.593750, 0.687500,
			0.653281, 0.707107, -0.270598, 0.683100, 0.632600, -0.365100, 0.562500, 0.750000,
			0.768178, 0.555570, -0.318190, 0.683100, 0.632600, -0.365100, 0.562500, 0.687500,
			0.691342, 0.555570, -0.461940, 0.778600, 0.469600, -0.416200, 0.593750, 0.687500,
			0.853553, 0.382683, -0.353553, 0.778600, 0.469600, -0.416200, 0.562500, 0.625000,
			0.768178, 0.382683, -0.513280, 0.778600, 0.469600, -0.416200, 0.593750, 0.625000,
			0.815493, 0.195090, -0.544895, 0.844300, 0.289000, -0.451300, 0.593750, 0.562500,
			0.853553, 0.382683, -0.353553, 0.844300, 0.289000, -0.451300, 0.562500, 0.625000,
			0.906127, 0.195090, -0.375330, 0.844300, 0.289000, -0.451300, 0.562500, 0.562500,
			0.831470, 0.000000, -0.555570, 0.877700, 0.097500, -0.469100, 0.593750, 0.500000,
			0.906127, 0.195090, -0.375330, 0.877700, 0.097500, -0.469100, 0.562500, 0.562500,
			0.923879, 0.000000, -0.382683, 0.877700, 0.097500, -0.469100, 0.562500, 0.500000,
			0.162212, 0.980785, -0.108386, 0.086900, 0.995100, -0.046400, 0.593750, 0.937500,
			0.000000, 1.000000, 0.000000, 0.086900, 0.995100, -0.046400, 0.578125, 1.000000,
			0.180240, 0.980785, -0.074658, 0.086900, 0.995100, -0.046400, 0.562500, 0.937500,
			0.162212, 0.980785, -0.108386, 0.257100, 0.956500, -0.137400, 0.593750, 0.937500,
			0.353553, 0.923880, -0.146447, 0.257100, 0.956500, -0.137400, 0.562500, 0.875000,
			0.318190, 0.923880, -0.212608, 0.257100, 0.956500, -0.137400, 0.593750, 0.875000,
			0.906127, 0.195090, -0.375330, 0.916100, 0.289000, -0.277900, 0.562500, 0.562500,
			0.906127, 0.382683, -0.180240, 0.916100, 0.289000, -0.277900, 0.531250, 0.625000,
			0.961940, 0.195090, -0.191342, 0.916100, 0.289000, -0.277900, 0.531250, 0.562500,
			0.923879, 0.000000, -0.382683, 0.952400, 0.097500, -0.288900, 0.562500, 0.500000,
			0.961940, 0.195090, -0.191342, 0.952400, 0.097500, -0.288900, 0.531250, 0.562500,
			0.980785, 0.000000, -0.195090, 0.952400, 0.097500, -0.288900, 0.531250, 0.500000,
			0.180240, 0.980785, -0.074658, 0.094200, 0.995100, -0.028600, 0.562500, 0.937500,
			0.000000, 1.000000, 0.000000, 0.094200, 0.995100, -0.028600, 0.546875, 1.000000,
			0.191342, 0.980785, -0.038060, 0.094200, 0.995100, -0.028600, 0.531250, 0.937500,
			0.353553, 0.923880, -0.146447, 0.279000, 0.956500, -0.084600, 0.562500, 0.875000,
			0.191342, 0.980785, -0.038060, 0.279000, 0.956500, -0.084600, 0.531250, 0.937500,
			0.375330, 0.923880, -0.074658, 0.279000, 0.956500, -0.084600, 0.531250, 0.875000,
			0.353553, 0.923880, -0.146447, 0.452800, 0.881000, -0.137400, 0.562500, 0.875000,
			0.544895, 0.831470, -0.108386, 0.452800, 0.881000, -0.137400, 0.531250, 0.812500,
			0.513280, 0.831470, -0.212607, 0.452800, 0.881000, -0.137400, 0.562500, 0.812500,
			0.513280, 0.831470, -0.212607, 0.608800, 0.771500, -0.184700, 0.562500, 0.812500,
			0.693520, 0.707107, -0.137950, 0.608800, 0.771500, -0.184700, 0.531250, 0.750000,
			0.653281, 0.707107, -0.270598, 0.608800, 0.771500, -0.184700, 0.562500, 0.750000,
			0.768178, 0.555570, -0.318190, 0.741200, 0.632600, -0.224800, 0.562500, 0.687500,
			0.693520, 0.707107, -0.137950, 0.741200, 0.632600, -0.224800, 0.531250, 0.750000,
			0.815493, 0.555570, -0.162212, 0.741200, 0.632600, -0.224800, 0.531250, 0.687500,
			0.768178, 0.555570, -0.318190, 0.844800, 0.469600, -0.256300, 0.562500, 0.687500,
			0.906127, 0.382683, -0.180240, 0.844800, 0.469600, -0.256300, 0.531250, 0.625000,
			0.853553, 0.382683, -0.353553, 0.844800, 0.469600, -0.256300, 0.562500, 0.625000,
			0.375330, 0.923880, -0.074658, 0.470900, 0.881000, -0.046400, 0.531250, 0.875000,
			0.555570, 0.831470, 0.000000, 0.470900, 0.881000, -0.046400, 0.500000, 0.812500,
			0.544895, 0.831470, -0.108386, 0.470900, 0.881000, -0.046400, 0.531250, 0.812500,
			0.544895, 0.831470, -0.108386, 0.633200, 0.771500, -0.062400, 0.531250, 0.812500,
			0.707107, 0.707107, -0.000000, 0.633200, 0.771500, -0.062400, 0.500000, 0.750000,
			0.693520, 0.707107, -0.137950, 0.633200, 0.771500, -0.062400, 0.531250, 0.750000,
			0.815493, 0.555570, -0.162212, 0.770800, 0.632600, -0.075900, 0.531250, 0.687500,
			0.707107, 0.707107, -0.000000, 0.770800, 0.632600, -0.075900, 0.500000, 0.750000,
			0.831469, 0.555570, 0.000000, 0.770800, 0.632600, -0.075900, 0.500000, 0.687500,
			0.815493, 0.555570, -0.162212, 0.878600, 0.469600, -0.086500, 0.531250, 0.687500,
			0.923879, 0.382683, -0.000000, 0.878600, 0.469600, -0.086500, 0.500000, 0.625000,
			0.906127, 0.382683, -0.180240, 0.878600, 0.469600, -0.086500, 0.531250, 0.625000,
			0.961940, 0.195090, -0.191342, 0.952700, 0.289000, -0.093800, 0.531250, 0.562500,
			0.923879, 0.382683, -0.000000, 0.952700, 0.289000, -0.093800, 0.500000, 0.625000,
			0.980785, 0.195090, 0.000000, 0.952700, 0.289000, -0.093800, 0.500000, 0.562500,
			0.980785, 0.000000, -0.195090, 0.990400, 0.097500, -0.097500, 0.531250, 0.500000,
			0.980785, 0.195090, 0.000000, 0.990400, 0.097500, -0.097500, 0.500000, 0.562500,
			1.000000, 0.000000, 0.000000, 0.990400, 0.097500, -0.097500, 0.500000, 0.500000,
			0.191342, 0.980785, -0.038060, 0.098000, 0.995100, -0.009700, 0.531250, 0.937500,
			0.000000, 1.000000, 0.000000, 0.098000, 0.995100, -0.009700, 0.515625, 1.000000,
			0.195090, 0.980785, 0.000000, 0.098000, 0.995100, -0.009700, 0.500000, 0.937500,
			0.375330, 0.923880, -0.074658, 0.290200, 0.956500, -0.028600, 0.531250, 0.875000,
			0.195090, 0.980785, 0.000000, 0.290200, 0.956500, -0.028600, 0.500000, 0.937500,
			0.382683, 0.923880, 0.000000, 0.290200, 0.956500, -0.028600, 0.500000, 0.875000,
			0.980785, 0.195090, 0.000000, 0.952700, 0.289000, 0.093800, 0.500000, 0.562500,
			0.906127, 0.382683, 0.180240, 0.952700, 0.289000, 0.093800, 0.468750, 0.625000,
			0.961940, 0.195090, 0.191342, 0.952700, 0.289000, 0.093800, 0.468750, 0.562500,
			1.000000, 0.000000, 0.000000, 0.990400, 0.097500, 0.097600, 0.500000, 0.500000,
			0.961940, 0.195090, 0.191342, 0.990400, 0.097500, 0.097600, 0.468750, 0.562500,
			0.980785, 0.000000, 0.195090, 0.990400, 0.097500, 0.097600, 0.468750, 0.500000,
			0.195090, 0.980785, 0.000000, 0.098000, 0.995100, 0.009700, 0.500000, 0.937500,
			0.000000, 1.000000, 0.000000, 0.098000, 0.995100, 0.009700, 0.484375, 1.000000,
			0.191342, 0.980785, 0.038060, 0.098000, 0.995100, 0.009700, 0.468750, 0.937500,
			0.195090, 0.980785, 0.000000, 0.290200, 0.956500, 0.028600, 0.500000, 0.937500,
			0.375330, 0.923880, 0.074658, 0.290200, 0.956500, 0.028600, 0.468750, 0.875000,
			0.382683, 0.923880, 0.000000, 0.290200, 0.956500, 0.028600, 0.500000, 0.875000,
			0.382683, 0.923880, 0.000000, 0.470900, 0.881000, 0.046400, 0.500000, 0.875000,
			0.544895, 0.831470, 0.108386, 0.470900, 0.881000, 0.046400, 0.468750, 0.812500,
			0.555570, 0.831470, 0.000000, 0.470900, 0.881000, 0.046400, 0.500000, 0.812500,
			0.555570, 0.831470, 0.000000, 0.633200, 0.771500, 0.062400, 0.500000, 0.812500,
			0.693520, 0.707107, 0.137950, 0.633200, 0.771500, 0.062400, 0.468750, 0.750000,
			0.707107, 0.707107, -0.000000, 0.633200, 0.771500, 0.062400, 0.500000, 0.750000,
			0.831469, 0.555570, 0.000000, 0.770800, 0.632600, 0.075900, 0.500000, 0.687500,
			0.693520, 0.707107, 0.137950, 0.770800, 0.632600, 0.075900, 0.468750, 0.750000,
			0.815493, 0.555570, 0.162212, 0.770800, 0.632600, 0.075900, 0.468750, 0.687500,
			0.831469, 0.555570, 0.000000, 0.878600, 0.469600, 0.086500, 0.500000, 0.687500,
			0.906127, 0.382683, 0.180240, 0.878600, 0.469600, 0.086500, 0.468750, 0.625000,
			0.923879, 0.382683, -0.000000, 0.878600, 0.469600, 0.086500, 0.500000, 0.625000,
			0.544895, 0.831470, 0.108386, 0.608800, 0.771500, 0.184700, 0.468750, 0.812500,
			0.653281, 0.707107, 0.270598, 0.608800, 0.771500, 0.184700, 0.437500, 0.750000,
			0.693520, 0.707107, 0.137950, 0.608800, 0.771500, 0.184700, 0.468750, 0.750000,
			0.815493, 0.555570, 0.162212, 0.741200, 0.632600, 0.224800, 0.468750, 0.687500,
			0.653281, 0.707107, 0.270598, 0.741200, 0.632600, 0.224800, 0.437500, 0.750000,
			0.768178, 0.555570, 0.318190, 0.741200, 0.632600, 0.224800, 0.437500, 0.687500,
			0.815493, 0.555570, 0.162212, 0.844800, 0.469600, 0.256300, 0.468750, 0.687500,
			0.853553, 0.382683, 0.353553, 0.844800, 0.469600, 0.256300, 0.437500, 0.625000,
			0.906127, 0.382683, 0.180240, 0.844800, 0.469600, 0.256300, 0.468750, 0.625000,
			0.961940, 0.195090, 0.191342, 0.916100, 0.289000, 0.277900, 0.468750, 0.562500,
			0.853553, 0.382683, 0.353553, 0.916100, 0.289000, 0.277900, 0.437500, 0.625000,
			0.906127, 0.195090, 0.375330, 0.916100, 0.289000, 0.277900, 0.437500, 0.562500,
			0.980785, 0.000000, 0.195090, 0.952400, 0.097500, 0.288900, 0.468750, 0.500000,
			0.906127, 0.195090, 0.375330, 0.952400, 0.097500, 0.288900, 0.437500, 0.562500,
			0.923879, 0.000000, 0.382683, 0.952400, 0.097500, 0.288900, 0.437500, 0.500000,
			0.191342, 0.980785, 0.038060, 0.094200, 0.995100, 0.028600, 0.468750, 0.937500,
			0.000000, 1.000000, 0.000000, 0.094200, 0.995100, 0.028600, 0.453125, 1.000000,
			0.180240, 0.980785, 0.074658, 0.094200, 0.995100, 0.028600, 0.437500, 0.937500,
			0.191342, 0.980785, 0.038060, 0.279000, 0.956500, 0.084600, 0.468750, 0.937500,
			0.353553, 0.923880, 0.146447, 0.279000, 0.956500, 0.084600, 0.437500, 0.875000,
			0.375330, 0.923880, 0.074658, 0.279000, 0.956500, 0.084600, 0.468750, 0.875000,
			0.544895, 0.831470, 0.108386, 0.452800, 0.881000, 0.137400, 0.468750, 0.812500,
			0.353553, 0.923880, 0.146447, 0.452800, 0.881000, 0.137400, 0.437500, 0.875000,
			0.513280, 0.831470, 0.212608, 0.452800, 0.881000, 0.137400, 0.437500, 0.812500,
			0.923879, 0.000000, 0.382683, 0.877700, 0.097500, 0.469100, 0.437500, 0.500000,
			0.815493, 0.195090, 0.544895, 0.877700, 0.097500, 0.469100, 0.406250, 0.562500,
			0.831469, 0.000000, 0.555570, 0.877700, 0.097500, 0.469100, 0.406250, 0.500000,
			0.180240, 0.980785, 0.074658, 0.086900, 0.995100, 0.046400, 0.437500, 0.937500,
			0.000000, 1.000000, 0.000000, 0.086900, 0.995100, 0.046400, 0.421875, 1.000000,
			0.162212, 0.980785, 0.108386, 0.086900, 0.995100, 0.046400, 0.406250, 0.937500,
			0.180240, 0.980785, 0.074658, 0.257100, 0.956500, 0.137400, 0.437500, 0.937500,
			0.318190, 0.923880, 0.212608, 0.257100, 0.956500, 0.137400, 0.406250, 0.875000,
			0.353553, 0.923880, 0.146447, 0.257100, 0.956500, 0.137400, 0.437500, 0.875000,
			0.513280, 0.831470, 0.212608, 0.417300, 0.881000, 0.223100, 0.437500, 0.812500,
			0.318190, 0.923880, 0.212608, 0.417300, 0.881000, 0.223100, 0.406250, 0.875000,
			0.461940, 0.831470, 0.308658, 0.417300, 0.881000, 0.223100, 0.406250, 0.812500,
			0.513280, 0.831470, 0.212608, 0.561100, 0.771500, 0.299900, 0.437500, 0.812500,
			0.587938, 0.707107, 0.392847, 0.561100, 0.771500, 0.299900, 0.406250, 0.750000,
			0.653281, 0.707107, 0.270598, 0.561100, 0.771500, 0.299900, 0.437500, 0.750000,
			0.768178, 0.555570, 0.318190, 0.683100, 0.632600, 0.365100, 0.437500, 0.687500,
			0.587938, 0.707107, 0.392847, 0.683100, 0.632600, 0.365100, 0.406250, 0.750000,
			0.691341, 0.555570, 0.461940, 0.683100, 0.632600, 0.365100, 0.406250, 0.687500,
			0.768178, 0.555570, 0.318190, 0.778600, 0.469600, 0.416200, 0.437500, 0.687500,
			0.768178, 0.382683, 0.513280, 0.778600, 0.469600, 0.416200, 0.406250, 0.625000,
			0.853553, 0.382683, 0.353553, 0.778600, 0.469600, 0.416200, 0.437500, 0.625000,
			0.906127, 0.195090, 0.375330, 0.844300, 0.289000, 0.451300, 0.437500, 0.562500,
			0.768178, 0.382683, 0.513280, 0.844300, 0.289000, 0.451300, 0.406250, 0.625000,
			0.815493, 0.195090, 0.544895, 0.844300, 0.289000, 0.451300, 0.406250, 0.562500,
			0.461940, 0.831470, 0.308658, 0.491800, 0.771500, 0.403600, 0.406250, 0.812500,
			0.500000, 0.707107, 0.500000, 0.491800, 0.771500, 0.403600, 0.375000, 0.750000,
			0.587938, 0.707107, 0.392847, 0.491800, 0.771500, 0.403600, 0.406250, 0.750000,
			0.691341, 0.555570, 0.461940, 0.598700, 0.632600, 0.491300, 0.406250, 0.687500,
			0.500000, 0.707107, 0.500000, 0.598700, 0.632600, 0.491300, 0.375000, 0.750000,
			0.587938, 0.555570, 0.587938, 0.598700, 0.632600, 0.491300, 0.375000, 0.687500,
			0.691341, 0.555570, 0.461940, 0.682500, 0.469600, 0.560100, 0.406250, 0.687500,
			0.653281, 0.382683, 0.653281, 0.682500, 0.469600, 0.560100, 0.375000, 0.625000,
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			0.961940, 0.195090, -0.191342, 0.952700, 0.289000, -0.093800, 0.531250, 0.562500,
			0.906127, 0.382683, -0.180240, 0.952700, 0.289000, -0.093800, 0.531250, 0.625000,
			0.923879, 0.382683, -0.000000, 0.952700, 0.289000, -0.093800, 0.500000, 0.625000,
			0.980785, 0.000000, -0.195090, 0.990400, 0.097600, -0.097500, 0.531250, 0.500000,
			0.961940, 0.195090, -0.191342, 0.990400, 0.097600, -0.097500, 0.531250, 0.562500,
			0.980785, 0.195090, 0.000000, 0.990400, 0.097600, -0.097500, 0.500000, 0.562500,
			0.375330, 0.923880, -0.074658, 0.290200, 0.956500, -0.028600, 0.531250, 0.875000,
			0.191342, 0.980785, -0.038060, 0.290200, 0.956500, -0.028600, 0.531250, 0.937500,
			0.195090, 0.980785, 0.000000, 0.290200, 0.956500, -0.028600, 0.500000, 0.937500,
			0.980785, 0.195090, 0.000000, 0.952700, 0.289000, 0.093800, 0.500000, 0.562500,
			0.923879, 0.382683, -0.000000, 0.952700, 0.289000, 0.093800, 0.500000, 0.625000,
			0.906127, 0.382683, 0.180240, 0.952700, 0.289000, 0.093800, 0.468750, 0.625000,
			1.000000, 0.000000, 0.000000, 0.990400, 0.097500, 0.097500, 0.500000, 0.500000,
			0.980785, 0.195090, 0.000000, 0.990400, 0.097500, 0.097500, 0.500000, 0.562500,
			0.961940, 0.195090, 0.191342, 0.990400, 0.097500, 0.097500, 0.468750, 0.562500,
			0.195090, 0.980785, 0.000000, 0.290200, 0.956500, 0.028600, 0.500000, 0.937500,
			0.191342, 0.980785, 0.038060, 0.290200, 0.956500, 0.028600, 0.468750, 0.937500,
			0.375330, 0.923880, 0.074658, 0.290200, 0.956500, 0.028600, 0.468750, 0.875000,
			0.382683, 0.923880, 0.000000, 0.470900, 0.881000, 0.046400, 0.500000, 0.875000,
			0.375330, 0.923880, 0.074658, 0.470900, 0.881000, 0.046400, 0.468750, 0.875000,
			0.544895, 0.831470, 0.108386, 0.470900, 0.881000, 0.046400, 0.468750, 0.812500,
			0.555570, 0.831470, 0.000000, 0.633200, 0.771500, 0.062400, 0.500000, 0.812500,
			0.544895, 0.831470, 0.108386, 0.633200, 0.771500, 0.062400, 0.468750, 0.812500,
			0.693520, 0.707107, 0.137950, 0.633200, 0.771500, 0.062400, 0.468750, 0.750000,
			0.831469, 0.555570, 0.000000, 0.770800, 0.632600, 0.075900, 0.500000, 0.687500,
			0.707107, 0.707107, -0.000000, 0.770800, 0.632600, 0.075900, 0.500000, 0.750000,
			0.693520, 0.707107, 0.137950, 0.770800, 0.632600, 0.075900, 0.468750, 0.750000,
			0.831469, 0.555570, 0.000000, 0.878600, 0.469600, 0.086500, 0.500000, 0.687500,
			0.815493, 0.555570, 0.162212, 0.878600, 0.469600, 0.086500, 0.468750, 0.687500,
			0.906127, 0.382683, 0.180240, 0.878600, 0.469600, 0.086500, 0.468750, 0.625000,
			0.544895, 0.831470, 0.108386, 0.608800, 0.771500, 0.184700, 0.468750, 0.812500,
			0.513280, 0.831470, 0.212608, 0.608800, 0.771500, 0.184700, 0.437500, 0.812500,
			0.653281, 0.707107, 0.270598, 0.608800, 0.771500, 0.184700, 0.437500, 0.750000,
			0.815493, 0.555570, 0.162212, 0.741200, 0.632600, 0.224800, 0.468750, 0.687500,
			0.693520, 0.707107, 0.137950, 0.741200, 0.632600, 0.224800, 0.468750, 0.750000,
			0.653281, 0.707107, 0.270598, 0.741200, 0.632600, 0.224800, 0.437500, 0.750000,
			0.815493, 0.555570, 0.162212, 0.844800, 0.469600, 0.256300, 0.468750, 0.687500,
			0.768178, 0.555570, 0.318190, 0.844800, 0.469600, 0.256300, 0.437500, 0.687500,
			0.853553, 0.382683, 0.353553, 0.844800, 0.469600, 0.256300, 0.437500, 0.625000,
			0.961940, 0.195090, 0.191342, 0.916100, 0.289000, 0.277900, 0.468750, 0.562500,
			0.906127, 0.382683, 0.180240, 0.916100, 0.289000, 0.277900, 0.468750, 0.625000,
			0.853553, 0.382683, 0.353553, 0.916100, 0.289000, 0.277900, 0.437500, 0.625000,
			0.980785, 0.000000, 0.195090, 0.952400, 0.097500, 0.288900, 0.468750, 0.500000,
			0.961940, 0.195090, 0.191342, 0.952400, 0.097500, 0.288900, 0.468750, 0.562500,
			0.906127, 0.195090, 0.375330, 0.952400, 0.097500, 0.288900, 0.437500, 0.562500,
			0.191342, 0.980785, 0.038060, 0.279000, 0.956500, 0.084600, 0.468750, 0.937500,
			0.180240, 0.980785, 0.074658, 0.279000, 0.956500, 0.084600, 0.437500, 0.937500,
			0.353553, 0.923880, 0.146447, 0.279000, 0.956500, 0.084600, 0.437500, 0.875000,
			0.544895, 0.831470, 0.108386, 0.452800, 0.881000, 0.137400, 0.468750, 0.812500,
			0.375330, 0.923880, 0.074658, 0.452800, 0.881000, 0.137400, 0.468750, 0.875000,
			0.353553, 0.923880, 0.146447, 0.452800, 0.881000, 0.137400, 0.437500, 0.875000,
			0.923879, 0.000000, 0.382683, 0.877700, 0.097500, 0.469100, 0.437500, 0.500000,
			0.906127, 0.195090, 0.375330, 0.877700, 0.097500, 0.469100, 0.437500, 0.562500,
			0.815493, 0.195090, 0.544895, 0.877700, 0.097500, 0.469100, 0.406250, 0.562500,
			0.180240, 0.980785, 0.074658, 0.257100, 0.956500, 0.137400, 0.437500, 0.937500,
			0.162212, 0.980785, 0.108386, 0.257100, 0.956500, 0.137400, 0.406250, 0.937500,
			0.318190, 0.923880, 0.212608, 0.257100, 0.956500, 0.137400, 0.406250, 0.875000,
			0.513280, 0.831470, 0.212608, 0.417300, 0.881000, 0.223000, 0.437500, 0.812500,
			0.353553, 0.923880, 0.146447, 0.417300, 0.881000, 0.223000, 0.437500, 0.875000,
			0.318190, 0.923880, 0.212608, 0.417300, 0.881000, 0.223000, 0.406250, 0.875000,
			0.513280, 0.831470, 0.212608, 0.561100, 0.771500, 0.299900, 0.437500, 0.812500,
			0.461940, 0.831470, 0.308658, 0.561100, 0.771500, 0.299900, 0.406250, 0.812500,
			0.587938, 0.707107, 0.392847, 0.561100, 0.771500, 0.299900, 0.406250, 0.750000,
			0.768178, 0.555570, 0.318190, 0.683100, 0.632600, 0.365100, 0.437500, 0.687500,
			0.653281, 0.707107, 0.270598, 0.683100, 0.632600, 0.365100, 0.437500, 0.750000,
			0.587938, 0.707107, 0.392847, 0.683100, 0.632600, 0.365100, 0.406250, 0.750000,
			0.768178, 0.555570, 0.318190, 0.778600, 0.469600, 0.416200, 0.437500, 0.687500,
			0.691341, 0.555570, 0.461940, 0.778600, 0.469600, 0.416200, 0.406250, 0.687500,
			0.768178, 0.382683, 0.513280, 0.778600, 0.469600, 0.416200, 0.406250, 0.625000,
			0.906127, 0.195090, 0.375330, 0.844300, 0.289000, 0.451300, 0.437500, 0.562500,
			0.853553, 0.382683, 0.353553, 0.844300, 0.289000, 0.451300, 0.437500, 0.625000,
			0.768178, 0.382683, 0.513280, 0.844300, 0.289000, 0.451300, 0.406250, 0.625000,
			0.461940, 0.831470, 0.308658, 0.491800, 0.771500, 0.403600, 0.406250, 0.812500,
			0.392847, 0.831470, 0.392847, 0.491800, 0.771500, 0.403600, 0.375000, 0.812500,
			0.500000, 0.707107, 0.500000, 0.491800, 0.771500, 0.403600, 0.375000, 0.750000,
			0.691341, 0.555570, 0.461940, 0.598700, 0.632600, 0.491300, 0.406250, 0.687500,
			0.587938, 0.707107, 0.392847, 0.598700, 0.632600, 0.491300, 0.406250, 0.750000,
			0.500000, 0.707107, 0.500000, 0.598700, 0.632600, 0.491300, 0.375000, 0.750000,
			0.691341, 0.555570, 0.461940, 0.682500, 0.469600, 0.560100, 0.406250, 0.687500,
			0.587938, 0.555570, 0.587938, 0.682500, 0.469600, 0.560100, 0.375000, 0.687500,
			0.653281, 0.382683, 0.653281, 0.682500, 0.469600, 0.560100, 0.375000, 0.625000,
			0.815493, 0.195090, 0.544895, 0.740000, 0.289000, 0.607300, 0.406250, 0.562500,
			0.768178, 0.382683, 0.513280, 0.740000, 0.289000, 0.607300, 0.406250, 0.625000,
			0.653281, 0.382683, 0.653281, 0.740000, 0.289000, 0.607300, 0.375000, 0.625000,
			0.831469, 0.000000, 0.555570, 0.769300, 0.097500, 0.631400, 0.406250, 0.500000,
			0.815493, 0.195090, 0.544895, 0.769300, 0.097500, 0.631400, 0.406250, 0.562500,
			0.693520, 0.195090, 0.693520, 0.769300, 0.097500, 0.631400, 0.375000, 0.562500,
			0.162212, 0.980785, 0.108386, 0.225400, 0.956600, 0.185000, 0.406250, 0.937500,
			0.137950, 0.980785, 0.137950, 0.225400, 0.956600, 0.185000, 0.375000, 0.937500,
			0.270598, 0.923880, 0.270598, 0.225400, 0.956600, 0.185000, 0.375000, 0.875000,
			0.318190, 0.923880, 0.212608, 0.365800, 0.881000, 0.300200, 0.406250, 0.875000,
			0.270598, 0.923880, 0.270598, 0.365800, 0.881000, 0.300200, 0.375000, 0.875000,
			0.392847, 0.831470, 0.392847, 0.365800, 0.881000, 0.300200, 0.375000, 0.812500,
			0.707106, 0.000000, 0.707107, 0.631400, 0.097500, 0.769300, 0.375000, 0.500000,
			0.693520, 0.195090, 0.693520, 0.631400, 0.097500, 0.769300, 0.375000, 0.562500,
			0.544895, 0.195090, 0.815493, 0.631400, 0.097500, 0.769300, 0.343750, 0.562500,
			0.270598, 0.923880, 0.270598, 0.185000, 0.956500, 0.225400, 0.375000, 0.875000,
			0.137950, 0.980785, 0.137950, 0.185000, 0.956500, 0.225400, 0.375000, 0.937500,
			0.108386, 0.980785, 0.162212, 0.185000, 0.956500, 0.225400, 0.343750, 0.937500,
			0.392847, 0.831470, 0.392847, 0.300200, 0.881000, 0.365800, 0.375000, 0.812500,
			0.270598, 0.923880, 0.270598, 0.300200, 0.881000, 0.365800, 0.375000, 0.875000,
			0.212607, 0.923880, 0.318190, 0.300200, 0.881000, 0.365800, 0.343750, 0.875000,
			0.392847, 0.831470, 0.392847, 0.403600, 0.771500, 0.491800, 0.375000, 0.812500,
			0.308658, 0.831470, 0.461940, 0.403600, 0.771500, 0.491800, 0.343750, 0.812500,
			0.392847, 0.707107, 0.587938, 0.403600, 0.771500, 0.491800, 0.343750, 0.750000,
			0.587938, 0.555570, 0.587938, 0.491300, 0.632600, 0.598700, 0.375000, 0.687500,
			0.500000, 0.707107, 0.500000, 0.491300, 0.632600, 0.598700, 0.375000, 0.750000,
			0.392847, 0.707107, 0.587938, 0.491300, 0.632600, 0.598700, 0.343750, 0.750000,
			0.587938, 0.555570, 0.587938, 0.560100, 0.469600, 0.682500, 0.375000, 0.687500,
			0.461940, 0.555570, 0.691342, 0.560100, 0.469600, 0.682500, 0.343750, 0.687500,
			0.513280, 0.382683, 0.768178, 0.560100, 0.469600, 0.682500, 0.343750, 0.625000,
			0.693520, 0.195090, 0.693520, 0.607300, 0.289000, 0.740000, 0.375000, 0.562500,
			0.653281, 0.382683, 0.653281, 0.607300, 0.289000, 0.740000, 0.375000, 0.625000,
			0.513280, 0.382683, 0.768178, 0.607300, 0.289000, 0.740000, 0.343750, 0.625000,
			0.461940, 0.555570, 0.691342, 0.365100, 0.632600, 0.683100, 0.343750, 0.687500,
			0.392847, 0.707107, 0.587938, 0.365100, 0.632600, 0.683100, 0.343750, 0.750000,
			0.270598, 0.707107, 0.653281, 0.365100, 0.632600, 0.683100, 0.312500, 0.750000,
			0.461940, 0.555570, 0.691342, 0.416200, 0.469600, 0.778600, 0.343750, 0.687500,
			0.318189, 0.555570, 0.768178, 0.416200, 0.469600, 0.778600, 0.312500, 0.687500,
			0.353553, 0.382683, 0.853553, 0.416200, 0.469600, 0.778600, 0.312500, 0.625000,
			0.544895, 0.195090, 0.815493, 0.451300, 0.289000, 0.844300, 0.343750, 0.562500,
			0.513280, 0.382683, 0.768178, 0.451300, 0.289000, 0.844300, 0.343750, 0.625000,
			0.353553, 0.382683, 0.853553, 0.451300, 0.289000, 0.844300, 0.312500, 0.625000,
			0.555570, 0.000000, 0.831469, 0.469100, 0.097500, 0.877700, 0.343750, 0.500000,
			0.544895, 0.195090, 0.815493, 0.469100, 0.097500, 0.877700, 0.343750, 0.562500,
			0.375330, 0.195090, 0.906127, 0.469100, 0.097500, 0.877700, 0.312500, 0.562500,
			0.108386, 0.980785, 0.162212, 0.137400, 0.956500, 0.257100, 0.343750, 0.937500,
			0.074658, 0.980785, 0.180240, 0.137400, 0.956500, 0.257100, 0.312500, 0.937500,
			0.146447, 0.923880, 0.353553, 0.137400, 0.956500, 0.257100, 0.312500, 0.875000,
			0.212607, 0.923880, 0.318190, 0.223000, 0.881000, 0.417300, 0.343750, 0.875000,
			0.146447, 0.923880, 0.353553, 0.223000, 0.881000, 0.417300, 0.312500, 0.875000,
			0.212607, 0.831470, 0.513280, 0.223000, 0.881000, 0.417300, 0.312500, 0.812500,
			0.308658, 0.831470, 0.461940, 0.299900, 0.771500, 0.561100, 0.343750, 0.812500,
			0.212607, 0.831470, 0.513280, 0.299900, 0.771500, 0.561100, 0.312500, 0.812500,
			0.270598, 0.707107, 0.653281, 0.299900, 0.771500, 0.561100, 0.312500, 0.750000,
			0.074658, 0.980785, 0.180240, 0.084600, 0.956500, 0.279000, 0.312500, 0.937500,
			0.038060, 0.980785, 0.191342, 0.084600, 0.956500, 0.279000, 0.281250, 0.937500,
			0.074658, 0.923880, 0.375330, 0.084600, 0.956500, 0.279000, 0.281250, 0.875000,
			0.146447, 0.923880, 0.353553, 0.137400, 0.881000, 0.452800, 0.312500, 0.875000,
			0.074658, 0.923880, 0.375330, 0.137400, 0.881000, 0.452800, 0.281250, 0.875000,
			0.108386, 0.831470, 0.544895, 0.137400, 0.881000, 0.452800, 0.281250, 0.812500,
			0.212607, 0.831470, 0.513280, 0.184700, 0.771500, 0.608800, 0.312500, 0.812500,
			0.108386, 0.831470, 0.544895, 0.184700, 0.771500, 0.608800, 0.281250, 0.812500,
			0.137950, 0.707107, 0.693520, 0.184700, 0.771500, 0.608800, 0.281250, 0.750000,
			0.318189, 0.555570, 0.768178, 0.224800, 0.632600, 0.741200, 0.312500, 0.687500,
			0.270598, 0.707107, 0.653281, 0.224800, 0.632600, 0.741200, 0.312500, 0.750000,
			0.137950, 0.707107, 0.693520, 0.224800, 0.632600, 0.741200, 0.281250, 0.750000,
			0.318189, 0.555570, 0.768178, 0.256300, 0.469600, 0.844800, 0.312500, 0.687500,
			0.162212, 0.555570, 0.815493, 0.256300, 0.469600, 0.844800, 0.281250, 0.687500,
			0.180240, 0.382683, 0.906127, 0.256300, 0.469600, 0.844800, 0.281250, 0.625000,
			0.375330, 0.195090, 0.906127, 0.277900, 0.289000, 0.916100, 0.312500, 0.562500,
			0.353553, 0.382683, 0.853553, 0.277900, 0.289000, 0.916100, 0.312500, 0.625000,
			0.180240, 0.382683, 0.906127, 0.277900, 0.289000, 0.916100, 0.281250, 0.625000,
			0.382683, 0.000000, 0.923879, 0.288900, 0.097500, 0.952400, 0.312500, 0.500000,
			0.375330, 0.195090, 0.906127, 0.288900, 0.097500, 0.952400, 0.312500, 0.562500,
			0.191342, 0.195090, 0.961939, 0.288900, 0.097500, 0.952400, 0.281250, 0.562500,
			0.162212, 0.555570, 0.815493, 0.086500, 0.469600, 0.878600, 0.281250, 0.687500,
			-0.000000, 0.555570, 0.831469, 0.086500, 0.469600, 0.878600, 0.250000, 0.687500,
			0.000000, 0.382683, 0.923879, 0.086500, 0.469600, 0.878600, 0.250000, 0.625000,
			0.191342, 0.195090, 0.961939, 0.093800, 0.289000, 0.952700, 0.281250, 0.562500,
			0.180240, 0.382683, 0.906127, 0.093800, 0.289000, 0.952700, 0.281250, 0.625000,
			0.000000, 0.382683, 0.923879, 0.093800, 0.289000, 0.952700, 0.250000, 0.625000,
			0.195090, 0.000000, 0.980785, 0.097600, 0.097500, 0.990400, 0.281250, 0.500000,
			0.191342, 0.195090, 0.961939, 0.097600, 0.097500, 0.990400, 0.281250, 0.562500,
			-0.000000, 0.195090, 0.980785, 0.097600, 0.097500, 0.990400, 0.250000, 0.562500,
			0.038060, 0.980785, 0.191342, 0.028600, 0.956500, 0.290200, 0.281250, 0.937500,
			-0.000000, 0.980785, 0.195090, 0.028600, 0.956500, 0.290200, 0.250000, 0.937500,
			-0.000000, 0.923880, 0.382683, 0.028600, 0.956500, 0.290200, 0.250000, 0.875000,
			0.108386, 0.831470, 0.544895, 0.046400, 0.881000, 0.470900, 0.281250, 0.812500,
			0.074658, 0.923880, 0.375330, 0.046400, 0.881000, 0.470900, 0.281250, 0.875000,
			-0.000000, 0.923880, 0.382683, 0.046400, 0.881000, 0.470900, 0.250000, 0.875000,
			0.108386, 0.831470, 0.544895, 0.062400, 0.771500, 0.633200, 0.281250, 0.812500,
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			-0.195090, 1.000000, -0.980785, -0.098000, 0.000000, -0.995200, 0.031250, 1.000000, 
			0.000000, 1.000000, -1.000000, -0.098000, 0.000000, -0.995200, 0.000000, 1.000000, 
			0.000000, -1.000000, -1.000000, -0.098000, 0.000000, -0.995200, 0.000000, 0.000000, 
		},
		{
			0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
			12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,
			24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
			36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
			48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
			60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71,
			72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83,
			84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
			96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
			108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119,
			120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131,
			132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143,
			144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,
			156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167,
			168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179,
			180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 
		}
	)
end


return module