43 lines
1.1 KiB
Lua
43 lines
1.1 KiB
Lua
-- written by groverbuger for g3d
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-- february 2021
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-- MIT license
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----------------------------------------------------------------------------------------------------
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-- vector functions
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----------------------------------------------------------------------------------------------------
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-- some basic vector functions that don't use tables
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-- because these functions will happen often, this is done to avoid frequent memory allocation
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local vectors = {}
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function vectors.subtract(v1,v2,v3, v4,v5,v6)
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return v1-v4, v2-v5, v3-v6
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end
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function vectors.add(v1,v2,v3, v4,v5,v6)
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return v1+v4, v2+v5, v3+v6
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end
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function vectors.scalarMultiply(scalar, v1,v2,v3)
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return v1*scalar, v2*scalar, v3*scalar
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end
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function vectors.crossProduct(a1,a2,a3, b1,b2,b3)
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return a2*b3 - a3*b2, a3*b1 - a1*b3, a1*b2 - a2*b1
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end
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function vectors.dotProduct(a1,a2,a3, b1,b2,b3)
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return a1*b1 + a2*b2 + a3*b3
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end
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function vectors.normalize(x,y,z)
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local mag = math.sqrt(x^2 + y^2 + z^2)
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return x/mag, y/mag, z/mag
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end
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function vectors.magnitude(x,y,z)
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return math.sqrt(x^2 + y^2 + z^2)
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end
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return vectors
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