[PATCH] Add missing parenthesis to csqrt.3

Steve Kargl sgk at troutmask.apl.washington.edu
Wed Oct 31 23:50:46 UTC 2018


The patch at the end of this email adds a missing ')'.

What is concerning is this somewhat dubious sentence
in the Results section:

  The square root of 0 is +0 ± 0, where the imaginary parts
  of the input and respective result have the same sign.

csqrt((0.0,0.0)) = (0.0,0.0)
csqrt((0.0,-0.0)) = (0.0,-0.0)
csqrt((-0.0,0.0)) = (0.0,0.0)
csqrt((-0.0,-0.0)) = (0.0,-0.0)

It seems the sentence should be 

  The square root of ±0 ± 0I is +0 ± 0I, where the imaginary parts
  of the input and respective result have the same sign.


Index: csqrt.3
===================================================================
--- csqrt.3     (revision 339978)
+++ csqrt.3     (working copy)
@@ -24,7 +24,7 @@
 .\"
 .\" $FreeBSD$
 .\"
-.Dd March 30, 2008
+.Dd October 31, 2018
 .Dt CSQRT 3
 .Os
 .Sh NAME
@@ -78,7 +78,7 @@
 .Pp
 For numbers with negative imaginary parts, the above special cases
 apply given the identity:
-.Dl csqrt(conj(z) = conj(sqrt(z))
+.Dl csqrt(conj(z)) = conj(sqrt(z))
 Note that the sign of \*(Na is indeterminate.
 Also, if the real or imaginary part of the input is finite and
 an \*(Na is generated, an invalid exception will be thrown.


-- 
Steve


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