diff --git a/Eigen/src/Core/functors/NullaryFunctors.h b/Eigen/src/Core/functors/NullaryFunctors.h
index 60c5f7f2a..6a30466fb 100644
--- a/Eigen/src/Core/functors/NullaryFunctors.h
+++ b/Eigen/src/Core/functors/NullaryFunctors.h
@@ -93,8 +93,8 @@ struct linspaced_op_impl<Scalar,Packet,/*IsInteger*/true>
   linspaced_op_impl(const Scalar& low, const Scalar& high, Index num_steps) :
     m_low(low),
     m_multiplier((high-low)/convert_index<Scalar>(num_steps<=1 ? 1 : num_steps-1)),
-    m_divisor(convert_index<Scalar>(num_steps+high-low)/((high-low+1)==0?1:(high-low+1))),
-    m_use_divisor((high+1)<(low+num_steps))
+    m_divisor(convert_index<Scalar>((high>=low?num_steps:-num_steps)+(high-low))/((numext::abs(high-low)+1)==0?1:(numext::abs(high-low)+1))),
+    m_use_divisor(num_steps>1 && (numext::abs(high-low)+1)<num_steps)
   {}
 
   template<typename IndexType>
diff --git a/test/nullary.cpp b/test/nullary.cpp
index bb0cea937..acd55506e 100644
--- a/test/nullary.cpp
+++ b/test/nullary.cpp
@@ -175,6 +175,21 @@ void testVectorType(const VectorType& base)
     VERIFY_IS_APPROX(VectorType::LinSpaced(size,low,low),VectorType::Constant(size,low));
     m.setLinSpaced(size,low,low);
     VERIFY_IS_APPROX(m,VectorType::Constant(size,low));
+
+    if(NumTraits<Scalar>::IsInteger)
+    {
+      VERIFY_IS_APPROX( VectorType::LinSpaced(size,low,Scalar(low+size-1)), VectorType::LinSpaced(size,Scalar(low+size-1),low).reverse() );
+
+      if(VectorType::SizeAtCompileTime==Dynamic)
+      {
+        // Check negative multiplicator path:
+        for(Index k=1; k<5; ++k)
+          VERIFY_IS_APPROX( VectorType::LinSpaced(size,low,Scalar(low+(size-1)*k)), VectorType::LinSpaced(size,Scalar(low+(size-1)*k),low).reverse() );
+        // Check negative divisor path:
+        for(Index k=1; k<5; ++k)
+          VERIFY_IS_APPROX( VectorType::LinSpaced(size*k,low,Scalar(low+size-1)), VectorType::LinSpaced(size*k,Scalar(low+size-1),low).reverse() );
+      }
+    }
   }
 }
 
@@ -222,7 +237,8 @@ void test_nullary()
     CALL_SUBTEST_8( testVectorType(Matrix<float,8,1>()) );
     CALL_SUBTEST_8( testVectorType(Matrix<float,1,1>()) );
 
-    CALL_SUBTEST_9( testVectorType(VectorXi(internal::random<int>(1,300))) );
+    CALL_SUBTEST_9( testVectorType(VectorXi(internal::random<int>(1,10))) );
+    CALL_SUBTEST_9( testVectorType(VectorXi(internal::random<int>(9,300))) );
     CALL_SUBTEST_9( testVectorType(Matrix<int,1,1>()) );
   }