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This is based on the Python example in the Wikipedia article except that the constants have been pre-calculated and the angles are adjusted, where necessary, to bring them within the [-π/2, π/2] range. The number of iterations is taken as 24 to try and match the Julia output which it does except for sin(0) which, curiously, has the same magnitude but a different sign.
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// The following are pre-computed to avoid using atan and sqrt functions.
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