sarutak commented on code in PR #54676:
URL: https://github.com/apache/spark/pull/54676#discussion_r2935509221


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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:
   @mgaido91 
   In the future, Java will provide native `asinh` and `acosh` which are based 
on `fdlibm`.
   https://bugs.openjdk.org/browse/JDK-8375285
   https://bugs.openjdk.org/browse/JDK-8376665
   
   So, should we choose `2^28` as the threshold rather than 
`Math.sqrt(Double.MaxValue)` to align with `fdlibm` in a followup PR?
   
   cc: @HyukjinKwon @peter-toth and @xiaoxuandev from #54677



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