Squashed 'third_party/eigen/' changes from 61d72f6..cf794d3


Change-Id: I9b814151b01f49af6337a8605d0c42a3a1ed4c72
git-subtree-dir: third_party/eigen
git-subtree-split: cf794d3b741a6278df169e58461f8529f43bce5d
diff --git a/test/numext.cpp b/test/numext.cpp
new file mode 100644
index 0000000..3de33e2
--- /dev/null
+++ b/test/numext.cpp
@@ -0,0 +1,53 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2017 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "main.h"
+
+template<typename T>
+void check_abs() {
+  typedef typename NumTraits<T>::Real Real;
+
+  if(NumTraits<T>::IsSigned)
+    VERIFY_IS_EQUAL(numext::abs(-T(1)), T(1));
+  VERIFY_IS_EQUAL(numext::abs(T(0)), T(0));
+  VERIFY_IS_EQUAL(numext::abs(T(1)), T(1));
+
+  for(int k=0; k<g_repeat*100; ++k)
+  {
+    T x = internal::random<T>();
+    if(!internal::is_same<T,bool>::value)
+      x = x/Real(2);
+    if(NumTraits<T>::IsSigned)
+    {
+      VERIFY_IS_EQUAL(numext::abs(x), numext::abs(-x));
+      VERIFY( numext::abs(-x) >= Real(0));
+    }
+    VERIFY( numext::abs(x) >= Real(0));
+    VERIFY_IS_APPROX( numext::abs2(x), numext::abs2(numext::abs(x)) );
+  }
+}
+
+void test_numext() {
+  CALL_SUBTEST( check_abs<bool>() );
+  CALL_SUBTEST( check_abs<signed char>() );
+  CALL_SUBTEST( check_abs<unsigned char>() );
+  CALL_SUBTEST( check_abs<short>() );
+  CALL_SUBTEST( check_abs<unsigned short>() );
+  CALL_SUBTEST( check_abs<int>() );
+  CALL_SUBTEST( check_abs<unsigned int>() );
+  CALL_SUBTEST( check_abs<long>() );
+  CALL_SUBTEST( check_abs<unsigned long>() );
+  CALL_SUBTEST( check_abs<half>() );
+  CALL_SUBTEST( check_abs<float>() );
+  CALL_SUBTEST( check_abs<double>() );
+  CALL_SUBTEST( check_abs<long double>() );
+
+  CALL_SUBTEST( check_abs<std::complex<float> >() );
+  CALL_SUBTEST( check_abs<std::complex<double> >() );
+}