mgaido91 commented on code in PR #54676:
URL: https://github.com/apache/spark/pull/54676#discussion_r2935611554


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sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/expressions/mathExpressions.scala:
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@@ -418,10 +418,28 @@ case class Cosh(child: Expression) extends 
UnaryMathExpression(math.cosh, "COSH"
   since = "3.0.0",
   group = "math_funcs")
 case class Acosh(child: Expression)
-  extends UnaryMathExpression((x: Double) => StrictMath.log(x + math.sqrt(x * 
x - 1.0)), "ACOSH") {
+  extends UnaryMathExpression((x: Double) => x match {
+    // in case of large values, the square would lead to Infinity; also, - 1 
would be ignored due
+    // to numeric precision. So log(x + sqrt(x * x - 1)) becomes log(2x) = 
log(2) + log(x) for
+    // positive values.
+    case x if x >= Math.sqrt(Double.MaxValue) =>

Review Comment:
   I see, thanks fot the heads-up @sarutak ! In practice I think the only 
change may be the efficiency in the range `2^28` - 
`Math.sqrt(Double.MaxValue)`. After `2 ^28` the +1 is ignored due to the 
representational limits of the double, so the results are exaclty the same. I 
can open a followup PR to align or I can also try to benchmark wihich option is 
more efficient and decide based on that. Let me know how you think is best to 
proceed.



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