PowerAda 129

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(129) The value of the angle threshold, within which certain elementary functions, complex arithmetic operations, and complex elementary functions yield results conforming to a maximum relative error bound.

See G.2.4(10).

The trigonometric functions are based on the C math libraries. Officially the angle threshold is 2.0**26 (the minimum allowed for long_float). Unofficially it is many orders of magnitude larger. See below for more details on the trigonometric functions.