Add std::midpoint for integral and poiner types. Described in P0811, reviewed as D59099.

llvm-svn: 356162
diff --git a/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.fail.cpp b/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.fail.cpp
new file mode 100644
index 0000000..2352ce7
--- /dev/null
+++ b/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.fail.cpp
@@ -0,0 +1,30 @@
+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+//
+// UNSUPPORTED: c++98, c++03, c++11, c++14, c++17
+// <numeric>
+
+// template <class _Tp>
+// _Tp midpoint(_Tp __a, _Tp __b) noexcept
+
+// An overload exists for each of char and all arithmetic types except bool.
+
+#include <numeric>
+
+#include "test_macros.h"
+
+int main(int, char**)
+{
+    (void) std::midpoint(false, true); // expected-error {{no matching function for call to 'midpoint'}}
+
+//  A couple of odd pointer types that should fail
+    (void) std::midpoint(nullptr, nullptr);     // expected-error {{no matching function for call to 'midpoint'}}
+    (void) std::midpoint((void *)0, (void *)0); // expected-error@numeric:* {{arithmetic on pointers to void}}
+    
+    return 0;
+}
diff --git a/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.integer.pass.cpp b/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.integer.pass.cpp
new file mode 100644
index 0000000..6b0f095
--- /dev/null
+++ b/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.integer.pass.cpp
@@ -0,0 +1,137 @@
+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+//
+// UNSUPPORTED: c++98, c++03, c++11, c++14, c++17
+// <numeric>
+
+// template <class _Tp>
+// _Tp midpoint(_Tp __a, _Tp __b) noexcept
+//
+
+#include <numeric>
+#include <cassert>
+#include "test_macros.h"
+
+template <typename T>
+void signed_test()
+{
+    constexpr T zero{0};
+    constexpr T one{1};
+    constexpr T two{2};
+    constexpr T three{3};
+    constexpr T four{4};
+
+    ASSERT_SAME_TYPE(decltype(std::midpoint(T(), T())), T);
+    ASSERT_NOEXCEPT(          std::midpoint(T(), T()));
+    using limits = std::numeric_limits<T>;
+    
+    static_assert(std::midpoint(one, three) == two, "");
+    static_assert(std::midpoint(three, one) == two, "");
+
+    assert(std::midpoint(zero, zero) == zero);
+    assert(std::midpoint(zero, two)  == one);
+    assert(std::midpoint(two, zero)  == one);
+    assert(std::midpoint(two, two)   == two);
+
+    assert(std::midpoint(one, four)    == two);
+    assert(std::midpoint(four, one)    == three);
+    assert(std::midpoint(three, four)  == three);
+    assert(std::midpoint(four, three)  == four);
+
+    assert(std::midpoint(T( 3), T( 4)) == T(3));
+    assert(std::midpoint(T( 4), T( 3)) == T(4));
+    assert(std::midpoint(T(-3), T( 4)) == T(0));
+    assert(std::midpoint(T(-4), T( 3)) == T(-1));
+    assert(std::midpoint(T( 3), T(-4)) == T(0));
+    assert(std::midpoint(T( 4), T(-3)) == T(1));
+    assert(std::midpoint(T(-3), T(-4)) == T(-3));
+    assert(std::midpoint(T(-4), T(-3)) == T(-4));
+    
+    static_assert(std::midpoint(limits::min(), limits::max()) == T(-1), "");
+    static_assert(std::midpoint(limits::max(), limits::min()) == T( 0), "");
+
+    static_assert(std::midpoint(limits::min(), T(6)) == limits::min()/2 + 3, "");
+    assert(       std::midpoint(T(6), limits::min()) == limits::min()/2 + 3);
+    assert(       std::midpoint(limits::max(), T(6)) == limits::max()/2 + 4);
+    static_assert(std::midpoint(T(6), limits::max()) == limits::max()/2 + 3, "");
+
+    assert(       std::midpoint(limits::min(), T(-6)) == limits::min()/2 - 3);
+    static_assert(std::midpoint(T(-6), limits::min()) == limits::min()/2 - 3, "");
+    static_assert(std::midpoint(limits::max(), T(-6)) == limits::max()/2 - 2, "");
+    assert(       std::midpoint(T(-6), limits::max()) == limits::max()/2 - 3);
+}
+
+template <typename T>
+void unsigned_test()
+{
+    constexpr T zero{0};
+    constexpr T one{1};
+    constexpr T two{2};
+    constexpr T three{3};
+    constexpr T four{4};
+
+    ASSERT_SAME_TYPE(decltype(std::midpoint(T(), T())), T);
+    ASSERT_NOEXCEPT(          std::midpoint(T(), T()));
+    using limits = std::numeric_limits<T>;
+    const T half_way = (limits::max() - limits::min())/2;
+    
+    static_assert(std::midpoint(one, three) == two, "");
+    static_assert(std::midpoint(three, one) == two, "");
+
+    assert(std::midpoint(zero, zero) == zero);
+    assert(std::midpoint(zero, two)  == one);
+    assert(std::midpoint(two, zero)  == one);
+    assert(std::midpoint(two, two)   == two);
+
+    assert(std::midpoint(one, four)    == two);
+    assert(std::midpoint(four, one)    == three);
+    assert(std::midpoint(three, four)  == three);
+    assert(std::midpoint(four, three)  == four);
+    
+    assert(std::midpoint(limits::min(), limits::max()) == T(half_way));
+    assert(std::midpoint(limits::max(), limits::min()) == T(half_way + 1));
+
+    static_assert(std::midpoint(limits::min(), T(6)) == limits::min()/2 + 3, "");
+    assert(       std::midpoint(T(6), limits::min()) == limits::min()/2 + 3);
+    assert(       std::midpoint(limits::max(), T(6)) == half_way + 4);
+    static_assert(std::midpoint(T(6), limits::max()) == half_way + 3, "");
+}
+
+
+int main(int, char**)
+{
+    signed_test<signed char>();
+    signed_test<short>();
+    signed_test<int>();
+    signed_test<long>();
+    signed_test<long long>();
+
+    signed_test<int8_t>();
+    signed_test<int16_t>();
+    signed_test<int32_t>();
+    signed_test<int64_t>();
+    signed_test<__int128_t>();
+
+    unsigned_test<unsigned char>();
+    unsigned_test<unsigned short>();
+    unsigned_test<unsigned int>();
+    unsigned_test<unsigned long>();
+    unsigned_test<unsigned long long>();
+
+    unsigned_test<uint8_t>();
+    unsigned_test<uint16_t>();
+    unsigned_test<uint32_t>();
+    unsigned_test<uint64_t>();
+    unsigned_test<__uint128_t>();
+
+//     int_test<char>();
+    signed_test<ptrdiff_t>();
+    unsigned_test<size_t>();
+
+    return 0;
+}
diff --git a/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.pointer.pass.cpp b/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.pointer.pass.cpp
new file mode 100644
index 0000000..48705d1
--- /dev/null
+++ b/libcxx/test/std/numerics/numeric.ops/numeric.ops.midpoint/midpoint.pointer.pass.cpp
@@ -0,0 +1,57 @@
+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+//
+// UNSUPPORTED: c++98, c++03, c++11, c++14, c++17
+// <numeric>
+
+// template <class _Tp>
+// _Tp* midpoint(_Tp* __a, _Tp* __b) noexcept
+//
+
+#include <numeric>
+#include <cassert>
+
+#include "test_macros.h"
+
+
+
+template <typename T>
+void pointer_test()
+{
+    T array[1000] = {}; // we need an array to make valid pointers
+    constexpr T cArray[2] = {};
+    ASSERT_SAME_TYPE(decltype(std::midpoint(array, array)), T*);
+    ASSERT_NOEXCEPT(          std::midpoint(array, array));
+
+    static_assert(std::midpoint(cArray, cArray + 2) == cArray + 1, "");
+    static_assert(std::midpoint(cArray + 2, cArray) == cArray + 1, "");
+
+    assert(std::midpoint(array, array)        == array);
+    assert(std::midpoint(array, array + 1000) == array + 500);
+
+    assert(std::midpoint(array, array +    9) == array + 4);
+    assert(std::midpoint(array, array +   10) == array + 5);
+    assert(std::midpoint(array, array +   11) == array + 5);
+    assert(std::midpoint(array +    9, array) == array + 5);
+    assert(std::midpoint(array +   10, array) == array + 5);
+    assert(std::midpoint(array +   11, array) == array + 6);
+}
+
+
+int main(int, char**)
+{
+    pointer_test<               char>();
+    pointer_test<const          char>();
+    pointer_test<      volatile char>();
+    pointer_test<const volatile char>();
+    
+    pointer_test<int>();
+    pointer_test<double>();
+
+    return 0;
+}