反双曲线函数

-- 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;