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Boost-Commit : |
Subject: [Boost-commit] svn:boost r79510 - in trunk: boost/math/special_functions libs/math/doc/sf_and_dist libs/math/doc/sf_and_dist/html libs/math/doc/sf_and_dist/html/index libs/math/doc/sf_and_dist/html/math_toolkit/main_overview libs/math/doc/sf_and_dist/html/math_toolkit/status libs/math/test libs/math/test/compile_test
From: john_at_[hidden]
Date: 2012-07-14 14:34:03
Author: johnmaddock
Date: 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
New Revision: 79510
URL: http://svn.boost.org/trac/boost/changeset/79510
Log:
Fix typo in Hankel function implementation that causes incorrect values to be returned for x < 0 and v an odd integer.
Add additional Hankel function tests.
Add a couple of missing header inclusion tests.
Update history in docs, and regenerate HTML.
Fixes #7135.
Added:
trunk/libs/math/test/compile_test/constants_incl_test.cpp (contents, props changed)
trunk/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp (contents, props changed)
Text files modified:
trunk/boost/math/special_functions/hankel.hpp | 2 +-
trunk/libs/math/doc/sf_and_dist/html/index.html | 2 +-
trunk/libs/math/doc/sf_and_dist/html/index/s13.html | 4 ++--
trunk/libs/math/doc/sf_and_dist/html/index/s14.html | 4 ++--
trunk/libs/math/doc/sf_and_dist/html/index/s15.html | 4 ++--
trunk/libs/math/doc/sf_and_dist/html/index/s16.html | 4 ++--
trunk/libs/math/doc/sf_and_dist/html/index/s17.html | 4 ++--
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/conventions.html | 2 +-
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html | 7 ++++++-
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html | 2 +-
trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html | 7 ++++++-
trunk/libs/math/doc/sf_and_dist/roadmap.qbk | 3 ++-
trunk/libs/math/test/Jamfile.v2 | 2 ++
trunk/libs/math/test/test_hankel.cpp | 10 +++++++++-
14 files changed, 39 insertions(+), 18 deletions(-)
Modified: trunk/boost/math/special_functions/hankel.hpp
==============================================================================
--- trunk/boost/math/special_functions/hankel.hpp (original)
+++ trunk/boost/math/special_functions/hankel.hpp 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -28,7 +28,7 @@
std::complex<T> j_result, y_result;
if(isint_v)
{
- int s = (iround(j) & 1) ? -1 : 1;
+ int s = (iround(v) & 1) ? -1 : 1;
j_result = j * s;
y_result = T(s) * (y - (2 / constants::pi<T>()) * (log(-x) - log(cx)) * j);
}
Modified: trunk/libs/math/doc/sf_and_dist/html/index.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -579,7 +579,7 @@
</p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
-<td align="left"><p><small>Last revised: July 12, 2012 at 11:15:53 GMT</small></p></td>
+<td align="left"><p><small>Last revised: July 14, 2012 at 18:27:50 GMT</small></p></td>
<td align="right"><div class="copyright-footer"></div></td>
</tr></table>
<hr>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s13.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s13.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s13.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="../math_toolkit/status/credits.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s14.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1301588">
+<div class="section id1303943">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1301588"></a>Function Index</h2></div></div></div>
+<a name="id1303943"></a>Function Index</h2></div></div></div>
<p><a class="link" href="s13.html#idx_id_0">A</a> <a class="link" href="s13.html#idx_id_1">B</a> <a class="link" href="s13.html#idx_id_2">C</a> <a class="link" href="s13.html#idx_id_3">D</a> <a class="link" href="s13.html#idx_id_4">E</a> <a class="link" href="s13.html#idx_id_5">F</a> <a class="link" href="s13.html#idx_id_6">G</a> <a class="link" href="s13.html#idx_id_7">H</a> <a class="link" href="s13.html#idx_id_8">I</a> <a class="link" href="s13.html#idx_id_9">J</a> <a class="link" href="s13.html#idx_id_10">K</a> <a class="link" href="s13.html#idx_id_11">L</a> <a class="link" href="s13.html#idx_id_12">M</a> <a class="link" href="s13.html#idx_id_13">N</a> <a class="link" href="s13.html#idx_id_14">O</a> <a class="link" href="s13.html#idx_id_15">P</a> <a class="link" href="s13.html#idx_id_16">Q</a> <a class="link" href="s13.html#idx_id_17">R</a> <a class="link" href="s13.html#idx_id_18">S</a> <a class="link" href="s13.html#idx_id_19">T</a> <a class="link" href="s13.html#idx_id_20">U</a> <a class="link" href=
"s13.html#idx_id_21">V</a> <a class="link" href="s13.html#idx_id_22">W</a> <a class="link" href="s13.html#idx_id_23">Z</a></p>
<div class="variablelist"><dl>
<dt>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s14.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s14.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s14.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s13.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s15.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1319154">
+<div class="section id1322304">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1319154"></a>Class Index</h2></div></div></div>
+<a name="id1322304"></a>Class Index</h2></div></div></div>
<p><a class="link" href="s14.html#idx_id_25">B</a> <a class="link" href="s14.html#idx_id_26">C</a> <a class="link" href="s14.html#idx_id_27">D</a> <a class="link" href="s14.html#idx_id_28">E</a> <a class="link" href="s14.html#idx_id_29">F</a> <a class="link" href="s14.html#idx_id_30">G</a> <a class="link" href="s14.html#idx_id_31">H</a> <a class="link" href="s14.html#idx_id_32">I</a> <a class="link" href="s14.html#idx_id_35">L</a> <a class="link" href="s14.html#idx_id_36">M</a> <a class="link" href="s14.html#idx_id_37">N</a> <a class="link" href="s14.html#idx_id_39">P</a> <a class="link" href="s14.html#idx_id_41">R</a> <a class="link" href="s14.html#idx_id_42">S</a> <a class="link" href="s14.html#idx_id_43">T</a> <a class="link" href="s14.html#idx_id_44">U</a> <a class="link" href="s14.html#idx_id_46">W</a></p>
<div class="variablelist"><dl>
<dt>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s15.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s15.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s15.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s14.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s16.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1320095">
+<div class="section id1323245">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1320095"></a>Typedef Index</h2></div></div></div>
+<a name="id1323245"></a>Typedef Index</h2></div></div></div>
<p><a class="link" href="s15.html#idx_id_48">A</a> <a class="link" href="s15.html#idx_id_49">B</a> <a class="link" href="s15.html#idx_id_50">C</a> <a class="link" href="s15.html#idx_id_51">D</a> <a class="link" href="s15.html#idx_id_52">E</a> <a class="link" href="s15.html#idx_id_53">F</a> <a class="link" href="s15.html#idx_id_54">G</a> <a class="link" href="s15.html#idx_id_55">H</a> <a class="link" href="s15.html#idx_id_56">I</a> <a class="link" href="s15.html#idx_id_59">L</a> <a class="link" href="s15.html#idx_id_61">N</a> <a class="link" href="s15.html#idx_id_62">O</a> <a class="link" href="s15.html#idx_id_63">P</a> <a class="link" href="s15.html#idx_id_65">R</a> <a class="link" href="s15.html#idx_id_66">S</a> <a class="link" href="s15.html#idx_id_67">T</a> <a class="link" href="s15.html#idx_id_68">U</a> <a class="link" href="s15.html#idx_id_69">V</a> <a class="link" href="s15.html#idx_id_70">W</a></p>
<div class="variablelist"><dl>
<dt>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s16.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s16.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s16.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -22,9 +22,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s15.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="s17.html"><img src="../../../../../../doc/src/images/next.png" alt="Next"></a>
</div>
-<div class="section id1324234">
+<div class="section id1326428">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1324234"></a>Macro Index</h2></div></div></div>
+<a name="id1326428"></a>Macro Index</h2></div></div></div>
<p><a class="link" href="s16.html#idx_id_73">B</a> <a class="link" href="s16.html#idx_id_77">F</a></p>
<div class="variablelist"><dl>
<dt>
Modified: trunk/libs/math/doc/sf_and_dist/html/index/s17.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/index/s17.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/index/s17.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -21,9 +21,9 @@
<div class="spirit-nav">
<a accesskey="p" href="s16.html"><img src="../../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../index.html"><img src="../../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../index.html"><img src="../../../../../../doc/src/images/home.png" alt="Home"></a>
</div>
-<div class="section id1326280">
+<div class="section id1328474">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
-<a name="id1326280"></a>Index</h2></div></div></div>
+<a name="id1328474"></a>Index</h2></div></div></div>
<p><a class="link" href="s17.html#idx_id_96">A</a> <a class="link" href="s17.html#idx_id_97">B</a> <a class="link" href="s17.html#idx_id_98">C</a> <a class="link" href="s17.html#idx_id_99">D</a> <a class="link" href="s17.html#idx_id_100">E</a> <a class="link" href="s17.html#idx_id_101">F</a> <a class="link" href="s17.html#idx_id_102">G</a> <a class="link" href="s17.html#idx_id_103">H</a> <a class="link" href="s17.html#idx_id_104">I</a> <a class="link" href="s17.html#idx_id_105">J</a> <a class="link" href="s17.html#idx_id_106">K</a> <a class="link" href="s17.html#idx_id_107">L</a> <a class="link" href="s17.html#idx_id_108">M</a> <a class="link" href="s17.html#idx_id_109">N</a> <a class="link" href="s17.html#idx_id_110">O</a> <a class="link" href="s17.html#idx_id_111">P</a> <a class="link" href="s17.html#idx_id_112">Q</a> <a class="link" href="s17.html#idx_id_113">R</a> <a class="link" href="s17.html#idx_id_114">S</a> <a class="link" href="s17.html#idx_id_115">T</a> <a class="link" href="s17.html#idx_id_116">
U</a> <a class="link" href="s17.html#idx_id_117">V</a> <a class="link" href="s17.html#idx_id_118">W</a> <a class="link" href="s17.html#idx_id_119">Z</a></p>
<div class="variablelist"><dl>
<dt>
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/conventions.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/conventions.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/conventions.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -27,7 +27,7 @@
<a name="math_toolkit.main_overview.conventions"></a><a class="link" href="conventions.html" title="Document Conventions">Document Conventions</a>
</h3></div></div></div>
<p>
- <a class="indexterm" name="id829697"></a>
+ <a class="indexterm" name="id832853"></a>
</p>
<p>
This documentation aims to use of the following naming and formatting conventions.
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/history1.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -39,6 +39,10 @@
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
+ Added <a class="link" href="../special/airy.html" title="Airy Functions">Airy functions</a>
+ and <a class="link" href="../special/jacobi.html" title="Jacobi Elliptic Functions">Jacobi Elliptic functions</a>.
+ </li>
+<li class="listitem">
Corrected failure to detect bad parameters in many distributions #6934 (reported
by Florian Schoppmann) by adding a function check_out_of_range to test
many possible bad parameters. This test revealed several distributions
@@ -46,7 +50,8 @@
been rectified.
</li>
<li class="listitem">
- Added Airy functions and Jacobe Elliptic functions.
+ Fixed issue in Hankel functions that causes incorrect values to be returned
+ for <span class="emphasis"><em>x < 0</em></span> and ν odd, see #7135.
</li>
<li class="listitem">
Fixed issues #6517,
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/main_overview/navigation.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -27,7 +27,7 @@
<a name="math_toolkit.main_overview.navigation"></a><a class="link" href="navigation.html" title="Navigation">Navigation</a>
</h3></div></div></div>
<p>
- <a class="indexterm" name="id829567"></a>
+ <a class="indexterm" name="id832723"></a>
</p>
<p>
Boost.Math documentation is provided in both HTML and PDF formats.
Modified: trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html (original)
+++ trunk/libs/math/doc/sf_and_dist/html/math_toolkit/status/history1.html 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -38,6 +38,10 @@
</h5>
<div class="itemizedlist"><ul class="itemizedlist" type="disc">
<li class="listitem">
+ Added <a class="link" href="../special/airy.html" title="Airy Functions">Airy functions</a>
+ and <a class="link" href="../special/jacobi.html" title="Jacobi Elliptic Functions">Jacobi Elliptic functions</a>.
+ </li>
+<li class="listitem">
Corrected failure to detect bad parameters in many distributions #6934 (reported
by Florian Schoppmann) by adding a function check_out_of_range to test
many possible bad parameters. This test revealed several distributions
@@ -45,7 +49,8 @@
been rectified.
</li>
<li class="listitem">
- Added Airy functions and Jacobe Elliptic functions.
+ Fixed issue in Hankel functions that causes incorrect values to be returned
+ for <span class="emphasis"><em>x < 0</em></span> and ν odd, see #7135.
</li>
<li class="listitem">
Fixed issues #6517,
Modified: trunk/libs/math/doc/sf_and_dist/roadmap.qbk
==============================================================================
--- trunk/libs/math/doc/sf_and_dist/roadmap.qbk (original)
+++ trunk/libs/math/doc/sf_and_dist/roadmap.qbk 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -8,12 +8,13 @@
[h4 Boost-1.51]
+* Added [link math_toolkit.special.airy Airy functions] and [link math_toolkit.special.jacobi Jacobi Elliptic functions].
* Corrected failure to detect bad parameters in many distributions
[@https://svn.boost.org/trac/boost/ticket/6934 #6934] (reported by Florian Schoppmann)
by adding a function check_out_of_range to test many possible bad parameters.
This test revealed several distributions where the checks for bad parameters were ineffective,
and these have been rectified.
-* Added Airy functions and Jacobe Elliptic functions.
+* Fixed issue in Hankel functions that causes incorrect values to be returned for ['x < 0] and [nu] odd, see [@https://svn.boost.org/trac/boost/ticket/7135 #7135].
* Fixed issues [@https://svn.boost.org/trac/boost/ticket/6517 #6517], [@https://svn.boost.org/trac/boost/ticket/6362 #6362],
[@https://svn.boost.org/trac/boost/ticket/7053 #7053], [@https://svn.boost.org/trac/boost/ticket/2693 #2693],
[@https://svn.boost.org/trac/boost/ticket/6937 #6937], [@https://svn.boost.org/trac/boost/ticket/7099 #7099].
Modified: trunk/libs/math/test/Jamfile.v2
==============================================================================
--- trunk/libs/math/test/Jamfile.v2 (original)
+++ trunk/libs/math/test/Jamfile.v2 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -781,6 +781,8 @@
run compile_test/sf_hankel_incl_test.cpp compile_test/main.cpp ;
run compile_test/sf_jacobi_incl_test.cpp compile_test/main.cpp ;
run compile_test/sf_owens_t_incl_test.cpp compile_test/main.cpp ;
+run compile_test/dist_skew_norm_incl_test.cpp compile_test/main.cpp ;
+run compile_test/constants_incl_test.cpp compile_test/main.cpp ;
compile compile_test/test_traits.cpp ;
compile compile_test/tools_config_inc_test.cpp ;
compile compile_test/tools_fraction_inc_test.cpp ;
Added: trunk/libs/math/test/compile_test/constants_incl_test.cpp
==============================================================================
--- (empty file)
+++ trunk/libs/math/test/compile_test/constants_incl_test.cpp 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -0,0 +1,24 @@
+// Copyright John Maddock 2012.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0. (See accompanying file
+// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/special_functions/bessel.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/constants/constants.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+ check_result<float>(boost::math::constants::pi<float>());
+ check_result<double>(boost::math::constants::pi<double>());
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+ check_result<long double>(boost::math::constants::pi<long double>());
+#endif
+
+}
Added: trunk/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp
==============================================================================
--- (empty file)
+++ trunk/libs/math/test/compile_test/dist_skew_norm_incl_test.cpp 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -0,0 +1,25 @@
+// Copyright John Maddock 2006.
+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0. (See accompanying file
+// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
+//
+// Basic sanity check that header <boost/math/distributions/students_t.hpp>
+// #includes all the files that it needs to.
+//
+#include <boost/math/distributions/skew_normal.hpp>
+//
+// Note this header includes no other headers, this is
+// important if this test is to be meaningful:
+//
+#include "test_compile_result.hpp"
+
+void compile_and_link_test()
+{
+ TEST_DIST_FUNC(skew_normal)
+}
+
+template class boost::math::skew_normal_distribution<float, boost::math::policies::policy<> >;
+template class boost::math::skew_normal_distribution<double, boost::math::policies::policy<> >;
+#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
+template class boost::math::skew_normal_distribution<long double, boost::math::policies::policy<> >;
+#endif
Modified: trunk/libs/math/test/test_hankel.cpp
==============================================================================
--- trunk/libs/math/test/test_hankel.cpp (original)
+++ trunk/libs/math/test/test_hankel.cpp 2012-07-14 14:34:01 EDT (Sat, 14 Jul 2012)
@@ -39,7 +39,7 @@
{
std::cout << "Testing type " << name << std::endl;
- static const boost::array<boost::array<std::complex<T>, 4>, 8> data =
+ static const boost::array<boost::array<std::complex<T>, 4>, 16> data =
{{
// Values are v, z, J, and Y.
// H1 and H2 are calculated from functions.wolfram.com.
@@ -51,6 +51,14 @@
{{ -20, -15.5, static_cast<T>(0.0114685669049540880132573889173945340441319848974792913849131L), std::complex<T>(static_cast<T>(-2.23357703561803241011539677726233479433825678625142168545338L), static_cast<T>(0.02293713380990817602651477783478906808826396979495858276983L))}},
{{ 1.25, -1.5, std::complex<T>(static_cast<T>(-0.335713500965919366139805990226845134897000581426417882156072L), static_cast<T>(-0.335713500965919366139805990226845134897000581426417882156072L)), std::complex<T>(static_cast<T>(0.392747687664481978664420363126684555843062241632017696636768L), static_cast<T>(-1.064174689596320710944032343580374825637063404484853460948911L)) }},
{{ -1.25, -1.5, std::complex<T>(static_cast<T>(0.515099846311769525023685454389374962206960751452481078650112L), static_cast<T>(-0.515099846311769525023685454389374962206960751452481078650112L)), std::complex<T>(static_cast<T>(-0.040329260174013212604062774398331485097569895404765001721544L), static_cast<T>(0.989870432449525837443308134380418439316351607500197155578680L)) }},
+ {{ 4, 4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L) }},
+ {{ 4, -4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), std::complex<T>(static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L), static_cast<T>(0.562258129922720212644554320459885613794177234118657741258443L)) }},
+ {{ -4, 4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222L), static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267L) }},
+ {{ -4, -4, static_cast<T>(0.281129064961360106322277160229942806897088617059328870629222), std::complex<T>(static_cast<T>(-0.488936768533842510615657398339913206218740182079627974737267), static_cast<T>(0.562258129922720212644554320459885613794177234118657741258443L)) }},
+ {{ 3, 3, static_cast<T>(0.309062722255251643618260194946833149429135935993056794354475L), static_cast<T>(-0.538541616105031618004703905338594463807957863604859251481262L) }},
+ {{ 3, -3, static_cast<T>(-0.309062722255251643618260194946833149429135935993056794354475L), std::complex<T>(static_cast<T>(0.538541616105031618004703905338594463807957863604859251481262L), static_cast<T>(-0.618125444510503287236520389893666298858271871986113588708949L)) }},
+ {{ -3, 3, static_cast<T>(-0.309062722255251643618260194946833149429135935993056794354475L), static_cast<T>(0.538541616105031618004703905338594463807957863604859251481262L) }},
+ {{ -3, -3, static_cast<T>(0.309062722255251643618260194946833149429135935993056794354475L), std::complex<T>(static_cast<T>(-0.538541616105031618004703905338594463807957863604859251481262L), static_cast<T>(0.618125444510503287236520389893666298858271871986113588708949L)) }},
}};
std::complex<T> im(0, 1);
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