Re: Complex Exponential Integral

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Apologies - I only sent this to Ethan directly.

---------- Forwarded message ---------

Thank you. I can confirm that this works properly. (I only tried it
with/without ZEXINT and CEXINT) Just two small (cosmetic) points:

* There is a closing parenthesis missing in configure. The corrected
configure.ac is attached

* In my setup, configure detects ZEXINT because I set LIBAMOS_LDFLAGS
(before calling configure), which then gets added automatically to LD_FLAGS=
:

checking for amos libraries using LDFLAGS:  -L/usr/local/lib -lcerf
-lopenspecfun -lgfortran /usr/local/lib/libzexpint.a ...

checking for library containing zairy_... none required

checking for library containing zexint_... none required


I noticed that configure then adds "-L/home/local/lib64" in LIBS in
the Makefile, which may be specific to your system and not serve a purpose
in other systems? (It is hard-wired in configure.)

Best,

Erik

On Thu, Jul 10, 2025 at 3:52=E2=80=AFPM Ethan A Merritt <[email protected]> wr=
ote:

> I have just pushed changes to the configure script and to amos_airy,c
> so that ZEXINT is used if found during configuration in preference to
> CEXINT.
> I tested configure+build against libraries with or without ZEXINT.
>
> commit dda9e5051d
>
> Since both routines were available for testing, I also sampled the
> real/imaginary
> plane for the difference in output between parallel calls to CEXINT and
> ZEXINT
> for orders 2,3,4, and 5.
> The maximum difference found was on the order of    3 x 10^{-15}
> Pure noise level for double precision would be about  2 x 10^{-16}
> Pure noise level for single precision would be about    1 x 10^{-7}.
>
> cheers,
>         Ethan
>
>
>

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<div dir=3D"ltr">Apologies - I only sent this to Ethan directly.<br><br><di=
v class=3D"gmail_quote gmail_quote_container"><div dir=3D"ltr" class=3D"gma=
il_attr">---------- Forwarded message ---------<br></div><br><div dir=3D"lt=
r">Thank you. I can confirm that this works properly. (I only tried it with=
/without ZEXINT and CEXINT) Just two small (cosmetic) points:<br><br>* Ther=
e is a closing parenthesis missing in configure. The corrected <a href=3D"h=
ttp://configure.ac" target=3D"_blank">configure.ac</a> is attached<br><br><=
div>* In my setup, configure detects ZEXINT because I set=C2=A0LIBAMOS_LDFL=
AGS (before calling configure), which then gets added automatically to LD_F=
LAGS:<br><br>





<p style=3D"margin:0px;font-variant-numeric:normal;font-variant-east-asian:=
normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:au=
to;font-feature-settings:normal;font-stretch:normal;line-height:normal;font=
-family:Menlo;color:rgb(0,0,0)"><span style=3D"font-variant-ligatures:no-co=
mmon-ligatures">checking for amos libraries using LDFLAGS:<span>=C2=A0 </sp=
an>-L/usr/local/lib -lcerf -lopenspecfun -lgfortran /usr/local/lib/libzexpi=
nt.a ...<span>=C2=A0</span></span></p>
<p style=3D"margin:0px;font-variant-numeric:normal;font-variant-east-asian:=
normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:au=
to;font-feature-settings:normal;font-stretch:normal;line-height:normal;font=
-family:Menlo;color:rgb(0,0,0)"><span style=3D"font-variant-ligatures:no-co=
mmon-ligatures">checking for library containing zairy_... none required</sp=
an></p>
<p style=3D"margin:0px;font-variant-numeric:normal;font-variant-east-asian:=
normal;font-variant-alternates:normal;font-size-adjust:none;font-kerning:au=
to;font-feature-settings:normal;font-stretch:normal;line-height:normal;font=
-family:Menlo;color:rgb(0,0,0)"><span style=3D"font-variant-ligatures:no-co=
mmon-ligatures">checking for library containing zexint_... none required</s=
pan></p><p style=3D"margin:0px;font-variant-numeric:normal;font-variant-eas=
t-asian:normal;font-variant-alternates:normal;font-size-adjust:none;font-ke=
rning:auto;font-feature-settings:normal;font-stretch:normal;font-size:16px;=
line-height:normal;font-family:Menlo;color:rgb(0,0,0)"><br></p></div><div>I=
 noticed that configure then adds &quot;-L/home/local/lib64&quot; in LIBS i=
n the=C2=A0Makefile, which may be specific=C2=A0to your=C2=A0system and not=
 serve a purpose in other=C2=A0systems? (It is hard-wired in configure.)</d=
iv><div><br>Best,</div><div><br></div><div>Erik</div></div><br><div class=
=3D"gmail_quote"><div dir=3D"ltr" class=3D"gmail_attr">On Thu, Jul 10, 2025=
 at 3:52=E2=80=AFPM Ethan A Merritt &lt;<a href=3D"mailto:[email protected]" t=
arget=3D"_blank">[email protected]</a>&gt; wrote:<br></div><blockquote class=
=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px solid rg=
b(204,204,204);padding-left:1ex">I have just pushed changes to the configur=
e script and to amos_airy,c<br>
so that ZEXINT is used if found during configuration in preference to CEXIN=
T.<br>
I tested configure+build against libraries with or without ZEXINT.<br>
<br>
commit dda9e5051d<br>
<br>
Since both routines were available for testing, I also sampled the real/ima=
ginary<br>
plane for the difference in output between parallel calls to CEXINT and ZEX=
INT<br>
for orders 2,3,4, and 5.<br>
The maximum difference found was on the order of=C2=A0 =C2=A0 3 x 10^{-15} =
<br>
Pure noise level for double precision would be about=C2=A0 2 x 10^{-16}<br>
Pure noise level for single precision would be about=C2=A0 =C2=A0 1 x 10^{-=
7}.<br>
<br>
cheers,<br>
=C2=A0 =C2=A0 =C2=A0 =C2=A0 Ethan<br>
<br><br>
</blockquote></div>
</div></div>

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