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34 lines
881 B
Markdown
34 lines
881 B
Markdown
# Constant tau
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## Summary
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Define a constant value `math.tau` to be the tau constant.
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## Motivation
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Currently the value of tau is used in trigonomic calculations through `math.pi * 2`.
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The implementation of tau will simplify expressing angles in turns or equations where otherwise math.pi * 2 may be used such as:
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```
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-- angular difference along a sphere
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local sphereAngleDiff_pi = (a - b + math.pi / 2) % (math.pi * 2)
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local sphereAngleDiff_tau = (a - b + math.pi / 2) % math.tau
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-- angular frequency calculation
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local frequency_pi = math.pi * 2 * angularFrequency
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local frequency_tau = math.tau * angularFrequency
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-- random gradient
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local r = math.random() * math.pi * 2
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local r_tau = math.random() * math.tau
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local gradient = vector(math.cos(r), math.sin(r), 0)
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```
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## Design
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Define `math.tau` with the value `6.28318530717958647692528676655900577`
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## Drawbacks
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None
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