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Inverse hyperbolic functions
Applies to ✅ Open Source Edition ✅ Express Edition ✅ Professional Edition ✅ Enterprise Edition
Some dialects may not support all trigonometric functions.
Using Settings.transformPatternsInverseHyperbolicFunctions
, the following transformations can be achieved:
-- With Settings.transformPatternsInverseHyperbolicFunctions active, this: SELECT LN(x + SQRT(SQUARE(x) + 1)), LN(x + SQRT(SQUARE(x) - 1)), LN((1 + x) / (1 - x)) / 2), LN((x + 1) / (x - 1)) / 2) FROM tab; -- ... is transformed into the equivalent expression: SELECT ASINH(x), -- LN(x + SQRT(SQUARE(x) + 1)) ACOSH(x), -- LN(x + SQRT(SQUARE(x) - 1)) ATANH(x), -- LN((1 + x) / (1 - x)) / 2) ACOTH(x) -- LN((x + 1) / (x - 1)) / 2) FROM tab;
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