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      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2017 Gael Guennebaud <gael.guennebaud (at) inria.fr>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #include "main.h"
     11 
     12 template<typename T>
     13 void check_abs() {
     14   typedef typename NumTraits<T>::Real Real;
     15 
     16   if(NumTraits<T>::IsSigned)
     17     VERIFY_IS_EQUAL(numext::abs(-T(1)), T(1));
     18   VERIFY_IS_EQUAL(numext::abs(T(0)), T(0));
     19   VERIFY_IS_EQUAL(numext::abs(T(1)), T(1));
     20 
     21   for(int k=0; k<g_repeat*100; ++k)
     22   {
     23     T x = internal::random<T>();
     24     if(!internal::is_same<T,bool>::value)
     25       x = x/Real(2);
     26     if(NumTraits<T>::IsSigned)
     27     {
     28       VERIFY_IS_EQUAL(numext::abs(x), numext::abs(-x));
     29       VERIFY( numext::abs(-x) >= Real(0));
     30     }
     31     VERIFY( numext::abs(x) >= Real(0));
     32     VERIFY_IS_APPROX( numext::abs2(x), numext::abs2(numext::abs(x)) );
     33   }
     34 }
     35 
     36 void test_numext() {
     37   CALL_SUBTEST( check_abs<bool>() );
     38   CALL_SUBTEST( check_abs<signed char>() );
     39   CALL_SUBTEST( check_abs<unsigned char>() );
     40   CALL_SUBTEST( check_abs<short>() );
     41   CALL_SUBTEST( check_abs<unsigned short>() );
     42   CALL_SUBTEST( check_abs<int>() );
     43   CALL_SUBTEST( check_abs<unsigned int>() );
     44   CALL_SUBTEST( check_abs<long>() );
     45   CALL_SUBTEST( check_abs<unsigned long>() );
     46   CALL_SUBTEST( check_abs<half>() );
     47   CALL_SUBTEST( check_abs<float>() );
     48   CALL_SUBTEST( check_abs<double>() );
     49   CALL_SUBTEST( check_abs<long double>() );
     50 
     51   CALL_SUBTEST( check_abs<std::complex<float> >() );
     52   CALL_SUBTEST( check_abs<std::complex<double> >() );
     53 }
     54