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Original file line number | Original file line | Diff line number | Diff line change |
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vector = {} | |||
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function vector.new(a, b, c) | |||
v = {x=0, y=0, z=0} | |||
if type(a) == "table" then | |||
v = {x=a.x, y=a.y, z=a.z} | |||
elseif a and b and c then | |||
v = {x=a, y=b, z=c} | |||
end | |||
setmetatable(v, { | |||
__add = vector.add, | |||
__sub = vector.subtract, | |||
__mul = vector.multiply, | |||
__div = vector.divide, | |||
__umn = function(v) return vector.multiply(v, -1) end, | |||
__len = vector.length, | |||
__eq = vector.equals, | |||
}) | |||
return v | |||
end | |||
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function vector.equals(a, b) | |||
return a.x == b.x and | |||
a.y == b.y and | |||
a.z == b.z | |||
end | |||
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function vector.length(v) | |||
return math.hypot(v.x, math.hypot(v.y, v.z)) | |||
end | |||
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function vector.normalize(v) | |||
return vector.divide(v, vector.length(v)) | |||
end | |||
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function vector.round(v) | |||
return { | |||
x = math.floor(v.x + 0.5), | |||
y = math.floor(v.y + 0.5), | |||
z = math.floor(v.z + 0.5) | |||
} | |||
end | |||
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function vector.distance(a, b) | |||
local x = a.x - b.x | |||
local y = a.y - b.y | |||
local z = a.z - b.z | |||
return math.hypot(x, math.hypot(y, z)) | |||
end | |||
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function vector.direction(pos1, pos2) | |||
local x_raw = pos2.x - pos1.x | |||
local y_raw = pos2.y - pos1.y | |||
local z_raw = pos2.z - pos1.z | |||
local x_abs = math.abs(x_raw) | |||
local y_abs = math.abs(y_raw) | |||
local z_abs = math.abs(z_raw) | |||
if x_abs >= y_abs and | |||
x_abs >= z_abs then | |||
y_raw = y_raw * (1 / x_abs) | |||
z_raw = z_raw * (1 / x_abs) | |||
x_raw = x_raw / x_abs | |||
end | |||
if y_abs >= x_abs and | |||
y_abs >= z_abs then | |||
x_raw = x_raw * (1 / y_abs) | |||
z_raw = z_raw * (1 / y_abs) | |||
y_raw = y_raw / y_abs | |||
end | |||
if z_abs >= y_abs and | |||
z_abs >= x_abs then | |||
x_raw = x_raw * (1 / z_abs) | |||
y_raw = y_raw * (1 / z_abs) | |||
z_raw = z_raw / z_abs | |||
end | |||
return {x=x_raw, y=y_raw, z=z_raw} | |||
end | |||
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function vector.add(a, b) | |||
if type(b) == "table" then | |||
return vector.new( | |||
a.x + b.x, | |||
a.y + b.y, | |||
a.z + b.z) | |||
else | |||
return vector.new( | |||
a.x + b, | |||
a.y + b, | |||
a.z + b) | |||
end | |||
end | |||
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function vector.subtract(a, b) | |||
if type(b) == "table" then | |||
return vector.new( | |||
a.x - b.x, | |||
a.y - b.y, | |||
a.z - b.z) | |||
else | |||
return vector.new( | |||
a.x - b, | |||
a.y - b, | |||
a.z - b) | |||
end | |||
end | |||
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function vector.multiply(a, b) | |||
if type(b) == "table" then | |||
return vector.new( | |||
a.x * b.x, | |||
a.y * b.y, | |||
a.z * b.z) | |||
else | |||
return vector.new( | |||
a.x * b, | |||
a.y * b, | |||
a.z * b) | |||
end | |||
end | |||
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function vector.divide(a, b) | |||
if type(b) == "table" then | |||
return vector.new( | |||
a.x / b.x, | |||
a.y / b.y, | |||
a.z / b.z) | |||
else | |||
return vector.new( | |||
a.x / b, | |||
a.y / b, | |||
a.z / b) | |||
end | |||
end | |||
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