Tested on Linux-x64.

The issue doesn't have a proposed resolution yet, so we can certainly wait
with this, but I have an inkling that this implementation is what the proposed
resolution must say. :)

2016-12-20  Ville Voutilainen  <ville.voutilai...@gmail.com>

    Implement 2801, Default-constructibility of unique_ptr.
    * include/bits/unique_ptr.h (unique_ptr()): Constrain.
    (unique_ptr(pointer)): Likewise.
    (unique_ptr(nullptr_t)): Likewise.
    (unique_ptr<_Tp[], _Dp>::unique_ptr()): Likewise.
    (unique_ptr<_Tp[], _Dp>::unique_ptr(_Up)): Likewise.
    (unique_ptr<_Tp[], _Dp>::unique_ptr(nullptr_t)): Likewise.
    * testsuite/20_util/unique_ptr/assign/48635_neg.cc: Adjust.
    * testsuite/20_util/unique_ptr/cons/cv_qual_neg.cc: Likewise.
    * testsuite/20_util/unique_ptr/cons/default.cc: New.
    * testsuite/20_util/unique_ptr/cons/ptr_deleter_neg.cc: Adjust.
diff --git a/libstdc++-v3/include/bits/unique_ptr.h 
b/libstdc++-v3/include/bits/unique_ptr.h
index 56e6ec0..63dff37 100644
--- a/libstdc++-v3/include/bits/unique_ptr.h
+++ b/libstdc++-v3/include/bits/unique_ptr.h
@@ -175,10 +175,14 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
       // Constructors.
 
       /// Default constructor, creates a unique_ptr that owns nothing.
+      template <typename _Up = deleter_type,
+               typename enable_if<
+                 __and_<__not_<is_pointer<_Up>>,
+                        is_default_constructible<_Up>>::value,
+                 bool>::type = false>
       constexpr unique_ptr() noexcept
       : _M_t()
-      { static_assert(!is_pointer<deleter_type>::value,
-                    "constructed with null function pointer deleter"); }
+      { }
 
       /** Takes ownership of a pointer.
        *
@@ -186,11 +190,15 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
        *
        * The deleter will be value-initialized.
        */
+      template <typename _Up = deleter_type,
+               typename enable_if<
+                 __and_<__not_<is_pointer<_Up>>,
+                        is_default_constructible<_Up>>::value,
+                 bool>::type = false>
       explicit
       unique_ptr(pointer __p) noexcept
       : _M_t(__p)
-      { static_assert(!is_pointer<deleter_type>::value,
-                    "constructed with null function pointer deleter"); }
+      { }
 
       /** Takes ownership of a pointer.
        *
@@ -218,6 +226,11 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
                      "rvalue deleter bound to reference"); }
 
       /// Creates a unique_ptr that owns nothing.
+      template <typename _Up = deleter_type,
+               typename enable_if<
+                 __and_<__not_<is_pointer<_Up>>,
+                        is_default_constructible<_Up>>::value,
+                 bool>::type = false>
       constexpr unique_ptr(nullptr_t) noexcept : unique_ptr() { }
 
       // Move constructors.
@@ -432,10 +445,14 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
       // Constructors.
 
       /// Default constructor, creates a unique_ptr that owns nothing.
+      template <typename _Up = deleter_type,
+               typename enable_if<
+                 __and_<__not_<is_pointer<_Up>>,
+                        is_default_constructible<_Up>>::value,
+                 bool>::type = false>
       constexpr unique_ptr() noexcept
       : _M_t()
-      { static_assert(!std::is_pointer<deleter_type>::value,
-                     "constructed with null function pointer deleter"); }
+      { }
 
       /** Takes ownership of a pointer.
        *
@@ -445,13 +462,17 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
        * The deleter will be value-initialized.
        */
       template<typename _Up,
-               typename = typename enable_if<
+              typename _Vp = deleter_type,
+              typename enable_if<
+                __and_<__not_<is_pointer<_Vp>>,
+                       is_default_constructible<_Vp>>::value,
+                bool>::type = false,
+              typename = typename enable_if<
                  __safe_conversion_raw<_Up>::value, bool>::type>
       explicit
       unique_ptr(_Up __p) noexcept
       : _M_t(__p)
-      { static_assert(!is_pointer<deleter_type>::value,
-                     "constructed with null function pointer deleter"); }
+      { }
 
       /** Takes ownership of a pointer.
        *
@@ -491,6 +512,11 @@ _GLIBCXX_BEGIN_NAMESPACE_VERSION
       : _M_t(__u.release(), std::forward<deleter_type>(__u.get_deleter())) { }
 
       /// Creates a unique_ptr that owns nothing.
+      template <typename _Up = deleter_type,
+               typename enable_if<
+                 __and_<__not_<is_pointer<_Up>>,
+                        is_default_constructible<_Up>>::value,
+                 bool>::type = false>
       constexpr unique_ptr(nullptr_t) noexcept : unique_ptr() { }
 
       template<typename _Up, typename _Ep,
diff --git a/libstdc++-v3/testsuite/20_util/unique_ptr/assign/48635_neg.cc 
b/libstdc++-v3/testsuite/20_util/unique_ptr/assign/48635_neg.cc
index e9655f1..2489b26 100644
--- a/libstdc++-v3/testsuite/20_util/unique_ptr/assign/48635_neg.cc
+++ b/libstdc++-v3/testsuite/20_util/unique_ptr/assign/48635_neg.cc
@@ -42,10 +42,10 @@ void f()
   std::unique_ptr<int, D&> ud(nullptr, d);
   ub = std::move(ud); // { dg-error "no match" }
   ub2 = ud; // { dg-error "no match" }
-// { dg-error "no type" "" { target *-*-* } 289 }
+// { dg-error "no type" "" { target *-*-* } 302 }
 
   std::unique_ptr<int[], B&> uba(nullptr, b);
   std::unique_ptr<int[], D&> uda(nullptr, d);
   uba = std::move(uda); // { dg-error "no match" }
-// { dg-error "no type" "" { target *-*-* } 540 }
+// { dg-error "no type" "" { target *-*-* } 566 }
 }
diff --git a/libstdc++-v3/testsuite/20_util/unique_ptr/cons/cv_qual_neg.cc 
b/libstdc++-v3/testsuite/20_util/unique_ptr/cons/cv_qual_neg.cc
index 3e6f41b..824f3c3 100644
--- a/libstdc++-v3/testsuite/20_util/unique_ptr/cons/cv_qual_neg.cc
+++ b/libstdc++-v3/testsuite/20_util/unique_ptr/cons/cv_qual_neg.cc
@@ -39,7 +39,7 @@ test07()
   std::unique_ptr<const A[]> cA3(p); // { dg-error "no matching function" }
   std::unique_ptr<volatile A[]> vA3(p); // { dg-error "no matching function" }
   std::unique_ptr<const volatile A[]> cvA3(p); // { dg-error "no matching 
function" }
-  // { dg-error "no type" "" { target *-*-* } 448 }
+  // { dg-error "no type" "" { target *-*-* } 470 }
 }
 
 template<typename T>
diff --git a/libstdc++-v3/testsuite/20_util/unique_ptr/cons/default.cc 
b/libstdc++-v3/testsuite/20_util/unique_ptr/cons/default.cc
new file mode 100644
index 0000000..968b2f1
--- /dev/null
+++ b/libstdc++-v3/testsuite/20_util/unique_ptr/cons/default.cc
@@ -0,0 +1,40 @@
+// { dg-do compile { target c++11 } }
+
+// Copyright (C) 2011-2016 Free Software Foundation, Inc.
+//
+// This file is part of the GNU ISO C++ Library.  This library is free
+// software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the
+// Free Software Foundation; either version 3, or (at your option)
+// any later version.
+//
+// This library is distributed in the hope that it will be useful,
+// but WITHOUT ANY WARRANTY; without even the implied warranty of
+// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU General Public License along
+// with this library; see the file COPYING3.  If not see
+// <http://www.gnu.org/licenses/>.
+
+#include <memory>
+#include <type_traits>
+
+static_assert(!std::is_default_constructible<std::unique_ptr<int,
+             std::default_delete<int>&>>::value, "");
+static_assert(!std::is_default_constructible<std::unique_ptr<int,
+             void(*)(int*)>>::value, "");
+static_assert(!std::is_constructible<std::unique_ptr<int,
+             std::default_delete<int>&>, int*>::value, "");
+static_assert(!std::is_constructible<std::unique_ptr<int,
+             void(*)(int*)>, int*>::value, "");
+
+static_assert(!std::is_default_constructible<std::unique_ptr<int[],
+             std::default_delete<int>&>>::value, "");
+static_assert(!std::is_default_constructible<std::unique_ptr<int[],
+             void(*)(int*)>>::value, "");
+static_assert(!std::is_constructible<std::unique_ptr<int[],
+             std::default_delete<int>&>, int*>::value, "");
+static_assert(!std::is_constructible<std::unique_ptr<int[],
+             void(*)(int*)>, int*>::value, "");
+
diff --git a/libstdc++-v3/testsuite/20_util/unique_ptr/cons/ptr_deleter_neg.cc 
b/libstdc++-v3/testsuite/20_util/unique_ptr/cons/ptr_deleter_neg.cc
index 1aa8d43..b7d97e6 100644
--- a/libstdc++-v3/testsuite/20_util/unique_ptr/cons/ptr_deleter_neg.cc
+++ b/libstdc++-v3/testsuite/20_util/unique_ptr/cons/ptr_deleter_neg.cc
@@ -23,26 +23,31 @@
 
 using std::unique_ptr;
 
-// { dg-prune-output "static assertion failed" }
+// { dg-error "no type" "" { target *-*-* } 182 }
+// { dg-error "no type" "" { target *-*-* } 197 }
+// { dg-error "no type" "" { target *-*-* } 233 }
+// { dg-error "no type" "" { target *-*-* } 452 }
+// { dg-error "no type" "" { target *-*-* } 469 }
+// { dg-error "no type" "" { target *-*-* } 519 }
 
 void
 test01()
 {
-  unique_ptr<long, void(*)(long*)> p1; // { dg-error "here" }
+  unique_ptr<long, void(*)(long*)> p1; // { dg-error "no matching" }
 
-  unique_ptr<short, void(*)(short*)> p2(nullptr); // { dg-error "here" }
+  unique_ptr<short, void(*)(short*)> p2(nullptr); // { dg-error "no matching" }
 
-  unique_ptr<int, void(*)(int*)> p3(new int); // { dg-error "here" }
+  unique_ptr<int, void(*)(int*)> p3(new int); // { dg-error "no matching" }
 }
 
 void
 test02()
 {
-  unique_ptr<long[], void(*)(long*)> p1; // { dg-error "here" }
+  unique_ptr<long[], void(*)(long*)> p1; // { dg-error "no matching" }
 
-  unique_ptr<short[], void(*)(short*)> p2(nullptr); // { dg-error "here" }
+  unique_ptr<short[], void(*)(short*)> p2(nullptr); // { dg-error "no 
matching" }
 
-  unique_ptr<int[], void(*)(int*)> p3(new int[1]); // { dg-error "here" }
+  unique_ptr<int[], void(*)(int*)> p3(new int[1]); // { dg-error "no matching" 
}
 }
 
 

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