cmath: Skip Libc for integral types in isinf, etc.

For std::isinf, the standard requires effectively calling isinf as
double from Libc for integral types. But integral types are never
infinite; we don't need to call Libc to return false.

Also short-circuit other functions where Libc won't have interesting
answers: signbit, fpclassify, isfinite, isnan, and isnormal.

I added correctness tests for integral types since we're no longer
deferring to Libc.

In review it was pointed out that in future revisions of the C++
standard we may add more types to std::is_arithmetic (e.g.,
std::is_fixed_point).  I'll leave it to a future commit to hack this to
allow using math functions on those.  We'll need to change things like
__libcpp_fpclassify anyway, so I'm not sure anything here would really
be future-proof.

https://reviews.llvm.org/D31561
rdar://problem/31361223

llvm-svn: 301060
Cr-Mirrored-From: sso://chromium.googlesource.com/_direct/external/github.com/llvm/llvm-project
Cr-Mirrored-Commit: 42f8eee150bbe361eb5f7a9acfa5838e0661177b
diff --git a/include/math.h b/include/math.h
index 79ebf2f..8c30ba8 100644
--- a/include/math.h
+++ b/include/math.h
@@ -307,6 +307,7 @@
 extern "C++" {
 
 #include <type_traits>
+#include <limits>
 
 // signbit
 
@@ -324,22 +325,50 @@
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
-typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
 signbit(_A1 __lcpp_x) _NOEXCEPT
 {
     return __libcpp_signbit((typename std::__promote<_A1>::type)__lcpp_x);
 }
 
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+    std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
+signbit(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x < 0; }
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+    std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
+signbit(_A1) _NOEXCEPT
+{ return false; }
+
 #elif defined(_LIBCPP_MSVCRT)
 
 template <typename _A1>
 inline _LIBCPP_INLINE_VISIBILITY
-typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
 signbit(_A1 __lcpp_x) _NOEXCEPT
 {
   return ::signbit(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
 }
 
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+    std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
+signbit(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x < 0; }
+
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+    std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
+signbit(_A1) _NOEXCEPT
+{ return false; }
+
 #endif  // signbit
 
 // fpclassify
@@ -358,22 +387,34 @@
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
-typename std::enable_if<std::is_arithmetic<_A1>::value, int>::type
+typename std::enable_if<std::is_floating_point<_A1>::value, int>::type
 fpclassify(_A1 __lcpp_x) _NOEXCEPT
 {
     return __libcpp_fpclassify((typename std::__promote<_A1>::type)__lcpp_x);
 }
 
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, int>::type
+fpclassify(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
+
 #elif defined(_LIBCPP_MSVCRT)
 
 template <typename _A1>
 inline _LIBCPP_INLINE_VISIBILITY
-typename std::enable_if<std::is_arithmetic<_A1>::value, int>::type
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
 fpclassify(_A1 __lcpp_x) _NOEXCEPT
 {
   return ::fpclassify(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
 }
 
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, int>::type
+fpclassify(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
+
 #endif  // fpclassify
 
 // isfinite
@@ -392,12 +433,22 @@
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
-typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
+typename std::enable_if<
+    std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
+    bool>::type
 isfinite(_A1 __lcpp_x) _NOEXCEPT
 {
     return __libcpp_isfinite((typename std::__promote<_A1>::type)__lcpp_x);
 }
 
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+    std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
+    bool>::type
+isfinite(_A1) _NOEXCEPT
+{ return true; }
+
 #endif  // isfinite
 
 // isinf
@@ -416,12 +467,22 @@
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
-typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
+typename std::enable_if<
+    std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
+    bool>::type
 isinf(_A1 __lcpp_x) _NOEXCEPT
 {
     return __libcpp_isinf((typename std::__promote<_A1>::type)__lcpp_x);
 }
 
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<
+    std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
+    bool>::type
+isinf(_A1) _NOEXCEPT
+{ return false; }
+
 #endif  // isinf
 
 // isnan
@@ -440,12 +501,18 @@
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
-typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
 isnan(_A1 __lcpp_x) _NOEXCEPT
 {
     return __libcpp_isnan((typename std::__promote<_A1>::type)__lcpp_x);
 }
 
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, bool>::type
+isnan(_A1) _NOEXCEPT
+{ return false; }
+
 #endif  // isnan
 
 // isnormal
@@ -464,12 +531,18 @@
 
 template <class _A1>
 inline _LIBCPP_INLINE_VISIBILITY
-typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
+typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
 isnormal(_A1 __lcpp_x) _NOEXCEPT
 {
     return __libcpp_isnormal((typename std::__promote<_A1>::type)__lcpp_x);
 }
 
+template <class _A1>
+inline _LIBCPP_INLINE_VISIBILITY
+typename std::enable_if<std::is_integral<_A1>::value, bool>::type
+isnormal(_A1 __lcpp_x) _NOEXCEPT
+{ return __lcpp_x != 0; }
+
 #endif  // isnormal
 
 // isgreater