Move some numeric utility code from rtc_base/ to rtc_base/numerics/

Specifically, I'm moving

  safe_compare.h
  safe_conversions.h
  safe_minmax.h

They shouldn't be part of the API, and moving them to an appropriate
subdirectory of rtc_base/ is a good way to keep track of that.

BUG=webrtc:8445

Change-Id: I458531aeb30bcf4291c4bec3bf22a2fffbf054ff
Reviewed-on: https://webrtc-review.googlesource.com/20860
Commit-Queue: Karl Wiberg <kwiberg@webrtc.org>
Reviewed-by: Danil Chapovalov <danilchap@webrtc.org>
Cr-Commit-Position: refs/heads/master@{#20829}
diff --git a/rtc_base/numerics/safe_compare.h b/rtc_base/numerics/safe_compare.h
new file mode 100644
index 0000000..85f0a30
--- /dev/null
+++ b/rtc_base/numerics/safe_compare.h
@@ -0,0 +1,176 @@
+/*
+ *  Copyright 2016 The WebRTC Project Authors. All rights reserved.
+ *
+ *  Use of this source code is governed by a BSD-style license
+ *  that can be found in the LICENSE file in the root of the source
+ *  tree. An additional intellectual property rights grant can be found
+ *  in the file PATENTS.  All contributing project authors may
+ *  be found in the AUTHORS file in the root of the source tree.
+ */
+
+// This file defines six constexpr functions:
+//
+//   rtc::SafeEq  // ==
+//   rtc::SafeNe  // !=
+//   rtc::SafeLt  // <
+//   rtc::SafeLe  // <=
+//   rtc::SafeGt  // >
+//   rtc::SafeGe  // >=
+//
+// They each accept two arguments of arbitrary types, and in almost all cases,
+// they simply call the appropriate comparison operator. However, if both
+// arguments are integers, they don't compare them using C++'s quirky rules,
+// but instead adhere to the true mathematical definitions. It is as if the
+// arguments were first converted to infinite-range signed integers, and then
+// compared, although of course nothing expensive like that actually takes
+// place. In practice, for signed/signed and unsigned/unsigned comparisons and
+// some mixed-signed comparisons with a compile-time constant, the overhead is
+// zero; in the remaining cases, it is just a few machine instructions (no
+// branches).
+
+#ifndef RTC_BASE_NUMERICS_SAFE_COMPARE_H_
+#define RTC_BASE_NUMERICS_SAFE_COMPARE_H_
+
+#include <stddef.h>
+#include <stdint.h>
+
+#include <type_traits>
+#include <utility>
+
+#include "rtc_base/type_traits.h"
+
+namespace rtc {
+
+namespace safe_cmp_impl {
+
+template <size_t N>
+struct LargerIntImpl : std::false_type {};
+template <>
+struct LargerIntImpl<sizeof(int8_t)> : std::true_type {
+  using type = int16_t;
+};
+template <>
+struct LargerIntImpl<sizeof(int16_t)> : std::true_type {
+  using type = int32_t;
+};
+template <>
+struct LargerIntImpl<sizeof(int32_t)> : std::true_type {
+  using type = int64_t;
+};
+
+// LargerInt<T1, T2>::value is true iff there's a signed type that's larger
+// than T1 (and no larger than the larger of T2 and int*, for performance
+// reasons); and if there is such a type, LargerInt<T1, T2>::type is an alias
+// for it.
+template <typename T1, typename T2>
+struct LargerInt
+    : LargerIntImpl<sizeof(T1) < sizeof(T2) || sizeof(T1) < sizeof(int*)
+                        ? sizeof(T1)
+                        : 0> {};
+
+template <typename T>
+constexpr typename std::make_unsigned<T>::type MakeUnsigned(T a) {
+  return static_cast<typename std::make_unsigned<T>::type>(a);
+}
+
+// Overload for when both T1 and T2 have the same signedness.
+template <typename Op,
+          typename T1,
+          typename T2,
+          typename std::enable_if<std::is_signed<T1>::value ==
+                                  std::is_signed<T2>::value>::type* = nullptr>
+constexpr bool Cmp(T1 a, T2 b) {
+  return Op::Op(a, b);
+}
+
+// Overload for signed - unsigned comparison that can be promoted to a bigger
+// signed type.
+template <typename Op,
+          typename T1,
+          typename T2,
+          typename std::enable_if<std::is_signed<T1>::value &&
+                                  std::is_unsigned<T2>::value &&
+                                  LargerInt<T2, T1>::value>::type* = nullptr>
+constexpr bool Cmp(T1 a, T2 b) {
+  return Op::Op(a, static_cast<typename LargerInt<T2, T1>::type>(b));
+}
+
+// Overload for unsigned - signed comparison that can be promoted to a bigger
+// signed type.
+template <typename Op,
+          typename T1,
+          typename T2,
+          typename std::enable_if<std::is_unsigned<T1>::value &&
+                                  std::is_signed<T2>::value &&
+                                  LargerInt<T1, T2>::value>::type* = nullptr>
+constexpr bool Cmp(T1 a, T2 b) {
+  return Op::Op(static_cast<typename LargerInt<T1, T2>::type>(a), b);
+}
+
+// Overload for signed - unsigned comparison that can't be promoted to a bigger
+// signed type.
+template <typename Op,
+          typename T1,
+          typename T2,
+          typename std::enable_if<std::is_signed<T1>::value &&
+                                  std::is_unsigned<T2>::value &&
+                                  !LargerInt<T2, T1>::value>::type* = nullptr>
+constexpr bool Cmp(T1 a, T2 b) {
+  return a < 0 ? Op::Op(-1, 0) : Op::Op(safe_cmp_impl::MakeUnsigned(a), b);
+}
+
+// Overload for unsigned - signed comparison that can't be promoted to a bigger
+// signed type.
+template <typename Op,
+          typename T1,
+          typename T2,
+          typename std::enable_if<std::is_unsigned<T1>::value &&
+                                  std::is_signed<T2>::value &&
+                                  !LargerInt<T1, T2>::value>::type* = nullptr>
+constexpr bool Cmp(T1 a, T2 b) {
+  return b < 0 ? Op::Op(0, -1) : Op::Op(a, safe_cmp_impl::MakeUnsigned(b));
+}
+
+#define RTC_SAFECMP_MAKE_OP(name, op)      \
+  struct name {                            \
+    template <typename T1, typename T2>    \
+    static constexpr bool Op(T1 a, T2 b) { \
+      return a op b;                       \
+    }                                      \
+  };
+RTC_SAFECMP_MAKE_OP(EqOp, ==)
+RTC_SAFECMP_MAKE_OP(NeOp, !=)
+RTC_SAFECMP_MAKE_OP(LtOp, <)
+RTC_SAFECMP_MAKE_OP(LeOp, <=)
+RTC_SAFECMP_MAKE_OP(GtOp, >)
+RTC_SAFECMP_MAKE_OP(GeOp, >=)
+#undef RTC_SAFECMP_MAKE_OP
+
+}  // namespace safe_cmp_impl
+
+#define RTC_SAFECMP_MAKE_FUN(name)                                            \
+  template <typename T1, typename T2>                                         \
+  constexpr                                                                   \
+      typename std::enable_if<IsIntlike<T1>::value && IsIntlike<T2>::value,   \
+                              bool>::type Safe##name(T1 a, T2 b) {            \
+    /* Unary plus here turns enums into real integral types. */               \
+    return safe_cmp_impl::Cmp<safe_cmp_impl::name##Op>(+a, +b);               \
+  }                                                                           \
+  template <typename T1, typename T2>                                         \
+  constexpr                                                                   \
+      typename std::enable_if<!IsIntlike<T1>::value || !IsIntlike<T2>::value, \
+                              bool>::type Safe##name(const T1& a,             \
+                                                     const T2& b) {           \
+    return safe_cmp_impl::name##Op::Op(a, b);                                 \
+  }
+RTC_SAFECMP_MAKE_FUN(Eq)
+RTC_SAFECMP_MAKE_FUN(Ne)
+RTC_SAFECMP_MAKE_FUN(Lt)
+RTC_SAFECMP_MAKE_FUN(Le)
+RTC_SAFECMP_MAKE_FUN(Gt)
+RTC_SAFECMP_MAKE_FUN(Ge)
+#undef RTC_SAFECMP_MAKE_FUN
+
+}  // namespace rtc
+
+#endif  // RTC_BASE_NUMERICS_SAFE_COMPARE_H_