Move sequence_number_utils.h to rtc_base/

Bug: webrtc:8440
Change-Id: I36e70da6ce70b95db7d3fce8b0013bff5c795bfc
Reviewed-on: https://webrtc-review.googlesource.com/14860
Reviewed-by: Karl Wiberg <kwiberg@webrtc.org>
Reviewed-by: Åsa Persson <asapersson@webrtc.org>
Reviewed-by: Philip Eliasson <philipel@webrtc.org>
Commit-Queue: Björn Terelius <terelius@webrtc.org>
Cr-Commit-Position: refs/heads/master@{#20429}
diff --git a/rtc_base/BUILD.gn b/rtc_base/BUILD.gn
index 8490a60..775fd14 100644
--- a/rtc_base/BUILD.gn
+++ b/rtc_base/BUILD.gn
@@ -403,9 +403,11 @@
     "numerics/exp_filter.cc",
     "numerics/exp_filter.h",
     "numerics/percentile_filter.h",
+    "numerics/sequence_number_util.h",
   ]
   deps = [
     ":rtc_base_approved",
+    "../api:optional",
   ]
 }
 
@@ -996,6 +998,7 @@
     sources = [
       "numerics/exp_filter_unittest.cc",
       "numerics/percentile_filter_unittest.cc",
+      "numerics/sequence_number_util_unittest.cc",
     ]
     deps = [
       ":rtc_base_approved",
diff --git a/rtc_base/numerics/sequence_number_util.h b/rtc_base/numerics/sequence_number_util.h
new file mode 100644
index 0000000..9dbd812
--- /dev/null
+++ b/rtc_base/numerics/sequence_number_util.h
@@ -0,0 +1,128 @@
+/*
+ *  Copyright (c) 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.
+ */
+
+#ifndef RTC_BASE_NUMERICS_SEQUENCE_NUMBER_UTIL_H_
+#define RTC_BASE_NUMERICS_SEQUENCE_NUMBER_UTIL_H_
+
+#include <limits>
+#include <type_traits>
+
+#include "api/optional.h"
+#include "rtc_base/mod_ops.h"
+#include "rtc_base/safe_compare.h"
+
+namespace webrtc {
+
+// Test if the sequence number |a| is ahead or at sequence number |b|.
+//
+// If |M| is an even number and the two sequence numbers are at max distance
+// from each other, then the sequence number with the highest value is
+// considered to be ahead.
+template <typename T, T M>
+inline typename std::enable_if<(M > 0), bool>::type AheadOrAt(T a, T b) {
+  static_assert(std::is_unsigned<T>::value,
+                "Type must be an unsigned integer.");
+  const T maxDist = M / 2;
+  if (!(M & 1) && MinDiff<T, M>(a, b) == maxDist)
+    return b < a;
+  return ForwardDiff<T, M>(b, a) <= maxDist;
+}
+
+template <typename T, T M>
+inline typename std::enable_if<(M == 0), bool>::type AheadOrAt(T a, T b) {
+  static_assert(std::is_unsigned<T>::value,
+                "Type must be an unsigned integer.");
+  const T maxDist = std::numeric_limits<T>::max() / 2 + T(1);
+  if (a - b == maxDist)
+    return b < a;
+  return ForwardDiff(b, a) < maxDist;
+}
+
+template <typename T>
+inline bool AheadOrAt(T a, T b) {
+  return AheadOrAt<T, 0>(a, b);
+}
+
+// Test if the sequence number |a| is ahead of sequence number |b|.
+//
+// If |M| is an even number and the two sequence numbers are at max distance
+// from each other, then the sequence number with the highest value is
+// considered to be ahead.
+template <typename T, T M = 0>
+inline bool AheadOf(T a, T b) {
+  static_assert(std::is_unsigned<T>::value,
+                "Type must be an unsigned integer.");
+  return a != b && AheadOrAt<T, M>(a, b);
+}
+
+// Comparator used to compare sequence numbers in a continuous fashion.
+//
+// WARNING! If used to sort sequence numbers of length M then the interval
+//          covered by the sequence numbers may not be larger than floor(M/2).
+template <typename T, T M = 0>
+struct AscendingSeqNumComp {
+  bool operator()(T a, T b) const { return AheadOf<T, M>(a, b); }
+};
+
+// Comparator used to compare sequence numbers in a continuous fashion.
+//
+// WARNING! If used to sort sequence numbers of length M then the interval
+//          covered by the sequence numbers may not be larger than floor(M/2).
+template <typename T, T M = 0>
+struct DescendingSeqNumComp {
+  bool operator()(T a, T b) const { return AheadOf<T, M>(b, a); }
+};
+
+// A sequencer number unwrapper where the start value of the unwrapped sequence
+// can be set. The unwrapped value is not allowed to wrap.
+template <typename T, T M = 0>
+class SeqNumUnwrapper {
+  // Use '<' instead of rtc::SafeLt to avoid crbug.com/753488
+  static_assert(
+      std::is_unsigned<T>::value &&
+          std::numeric_limits<T>::max() < std::numeric_limits<uint64_t>::max(),
+      "Type unwrapped must be an unsigned integer smaller than uint64_t.");
+
+ public:
+  // We want a default value that is close to 2^62 for a two reasons. Firstly,
+  // we can unwrap wrapping numbers in either direction, and secondly, the
+  // unwrapped numbers can be stored in either int64_t or uint64_t. We also want
+  // the default value to be human readable, which makes a power of 10 suitable.
+  static constexpr uint64_t kDefaultStartValue = 1000000000000000000UL;
+
+  SeqNumUnwrapper() : last_unwrapped_(kDefaultStartValue) {}
+  explicit SeqNumUnwrapper(uint64_t start_at) : last_unwrapped_(start_at) {}
+
+  uint64_t Unwrap(T value) {
+    if (!last_value_)
+      last_value_.emplace(value);
+
+    uint64_t unwrapped = 0;
+    if (AheadOrAt<T, M>(value, *last_value_)) {
+      unwrapped = last_unwrapped_ + ForwardDiff<T, M>(*last_value_, value);
+      RTC_CHECK_GE(unwrapped, last_unwrapped_);
+    } else {
+      unwrapped = last_unwrapped_ - ReverseDiff<T, M>(*last_value_, value);
+      RTC_CHECK_LT(unwrapped, last_unwrapped_);
+    }
+
+    *last_value_ = value;
+    last_unwrapped_ = unwrapped;
+    return last_unwrapped_;
+  }
+
+ private:
+  uint64_t last_unwrapped_;
+  rtc::Optional<T> last_value_;
+};
+
+}  // namespace webrtc
+
+#endif  // RTC_BASE_NUMERICS_SEQUENCE_NUMBER_UTIL_H_
diff --git a/rtc_base/numerics/sequence_number_util_unittest.cc b/rtc_base/numerics/sequence_number_util_unittest.cc
new file mode 100644
index 0000000..beb2b52
--- /dev/null
+++ b/rtc_base/numerics/sequence_number_util_unittest.cc
@@ -0,0 +1,320 @@
+/*
+ *  Copyright (c) 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.
+ */
+
+#include <set>
+
+#include "rtc_base/numerics/sequence_number_util.h"
+#include "test/gtest.h"
+
+namespace webrtc {
+class TestSeqNumUtil : public ::testing::Test {
+ protected:
+  // Can't use std::numeric_limits<unsigned long>::max() since
+  // MSVC doesn't support constexpr.
+  static const unsigned long ulmax = ~0ul;  // NOLINT
+};
+
+TEST_F(TestSeqNumUtil, AheadOrAt) {
+  uint8_t x = 0;
+  uint8_t y = 0;
+  ASSERT_TRUE(AheadOrAt(x, y));
+  ++x;
+  ASSERT_TRUE(AheadOrAt(x, y));
+  ASSERT_FALSE(AheadOrAt(y, x));
+  for (int i = 0; i < 256; ++i) {
+    ASSERT_TRUE(AheadOrAt(x, y));
+    ++x;
+    ++y;
+  }
+
+  x = 128;
+  y = 0;
+  ASSERT_TRUE(AheadOrAt(x, y));
+  ASSERT_FALSE(AheadOrAt(y, x));
+
+  x = 129;
+  ASSERT_FALSE(AheadOrAt(x, y));
+  ASSERT_TRUE(AheadOrAt(y, x));
+  ASSERT_TRUE(AheadOrAt<uint16_t>(x, y));
+  ASSERT_FALSE(AheadOrAt<uint16_t>(y, x));
+}
+
+TEST_F(TestSeqNumUtil, AheadOrAtWithDivisor) {
+  ASSERT_TRUE((AheadOrAt<uint8_t, 11>(5, 0)));
+  ASSERT_FALSE((AheadOrAt<uint8_t, 11>(6, 0)));
+  ASSERT_FALSE((AheadOrAt<uint8_t, 11>(0, 5)));
+  ASSERT_TRUE((AheadOrAt<uint8_t, 11>(0, 6)));
+
+  ASSERT_TRUE((AheadOrAt<uint8_t, 10>(5, 0)));
+  ASSERT_FALSE((AheadOrAt<uint8_t, 10>(6, 0)));
+  ASSERT_FALSE((AheadOrAt<uint8_t, 10>(0, 5)));
+  ASSERT_TRUE((AheadOrAt<uint8_t, 10>(0, 6)));
+
+  const uint8_t D = 211;
+  uint8_t x = 0;
+  for (int i = 0; i < D; ++i) {
+    uint8_t next_x = Add<D>(x, 1);
+    ASSERT_TRUE((AheadOrAt<uint8_t, D>(i, i)));
+    ASSERT_TRUE((AheadOrAt<uint8_t, D>(next_x, i)));
+    ASSERT_FALSE((AheadOrAt<uint8_t, D>(i, next_x)));
+    x = next_x;
+  }
+}
+
+TEST_F(TestSeqNumUtil, AheadOf) {
+  uint8_t x = 0;
+  uint8_t y = 0;
+  ASSERT_FALSE(AheadOf(x, y));
+  ++x;
+  ASSERT_TRUE(AheadOf(x, y));
+  ASSERT_FALSE(AheadOf(y, x));
+  for (int i = 0; i < 256; ++i) {
+    ASSERT_TRUE(AheadOf(x, y));
+    ++x;
+    ++y;
+  }
+
+  x = 128;
+  y = 0;
+  for (int i = 0; i < 128; ++i) {
+    ASSERT_TRUE(AheadOf(x, y));
+    ASSERT_FALSE(AheadOf(y, x));
+    x++;
+    y++;
+  }
+
+  for (int i = 0; i < 128; ++i) {
+    ASSERT_FALSE(AheadOf(x, y));
+    ASSERT_TRUE(AheadOf(y, x));
+    x++;
+    y++;
+  }
+
+  x = 129;
+  y = 0;
+  ASSERT_FALSE(AheadOf(x, y));
+  ASSERT_TRUE(AheadOf(y, x));
+  ASSERT_TRUE(AheadOf<uint16_t>(x, y));
+  ASSERT_FALSE(AheadOf<uint16_t>(y, x));
+}
+
+TEST_F(TestSeqNumUtil, AheadOfWithDivisor) {
+  ASSERT_TRUE((AheadOf<uint8_t, 11>(5, 0)));
+  ASSERT_FALSE((AheadOf<uint8_t, 11>(6, 0)));
+  ASSERT_FALSE((AheadOf<uint8_t, 11>(0, 5)));
+  ASSERT_TRUE((AheadOf<uint8_t, 11>(0, 6)));
+
+  ASSERT_TRUE((AheadOf<uint8_t, 10>(5, 0)));
+  ASSERT_FALSE((AheadOf<uint8_t, 10>(6, 0)));
+  ASSERT_FALSE((AheadOf<uint8_t, 10>(0, 5)));
+  ASSERT_TRUE((AheadOf<uint8_t, 10>(0, 6)));
+
+  const uint8_t D = 211;
+  uint8_t x = 0;
+  for (int i = 0; i < D; ++i) {
+    uint8_t next_x = Add<D>(x, 1);
+    ASSERT_FALSE((AheadOf<uint8_t, D>(i, i)));
+    ASSERT_TRUE((AheadOf<uint8_t, D>(next_x, i)));
+    ASSERT_FALSE((AheadOf<uint8_t, D>(i, next_x)));
+    x = next_x;
+  }
+}
+
+TEST_F(TestSeqNumUtil, ForwardDiffWithDivisor) {
+  const uint8_t kDivisor = 211;
+
+  for (uint8_t i = 0; i < kDivisor - 1; ++i) {
+    ASSERT_EQ(0, (ForwardDiff<uint8_t, kDivisor>(i, i)));
+    ASSERT_EQ(1, (ForwardDiff<uint8_t, kDivisor>(i, i + 1)));
+    ASSERT_EQ(kDivisor - 1, (ForwardDiff<uint8_t, kDivisor>(i + 1, i)));
+  }
+
+  for (uint8_t i = 1; i < kDivisor; ++i) {
+    ASSERT_EQ(i, (ForwardDiff<uint8_t, kDivisor>(0, i)));
+    ASSERT_EQ(kDivisor - i, (ForwardDiff<uint8_t, kDivisor>(i, 0)));
+  }
+}
+
+TEST_F(TestSeqNumUtil, ReverseDiffWithDivisor) {
+  const uint8_t kDivisor = 241;
+
+  for (uint8_t i = 0; i < kDivisor - 1; ++i) {
+    ASSERT_EQ(0, (ReverseDiff<uint8_t, kDivisor>(i, i)));
+    ASSERT_EQ(kDivisor - 1, (ReverseDiff<uint8_t, kDivisor>(i, i + 1)));
+    ASSERT_EQ(1, (ReverseDiff<uint8_t, kDivisor>(i + 1, i)));
+  }
+
+  for (uint8_t i = 1; i < kDivisor; ++i) {
+    ASSERT_EQ(kDivisor - i, (ReverseDiff<uint8_t, kDivisor>(0, i)));
+    ASSERT_EQ(i, (ReverseDiff<uint8_t, kDivisor>(i, 0)));
+  }
+}
+
+TEST_F(TestSeqNumUtil, SeqNumComparator) {
+  std::set<uint8_t, AscendingSeqNumComp<uint8_t>> seq_nums_asc;
+  std::set<uint8_t, DescendingSeqNumComp<uint8_t>> seq_nums_desc;
+
+  uint8_t x = 0;
+  for (int i = 0; i < 128; ++i) {
+    seq_nums_asc.insert(x);
+    seq_nums_desc.insert(x);
+    ASSERT_EQ(x, *seq_nums_asc.begin());
+    ASSERT_EQ(x, *seq_nums_desc.rbegin());
+    ++x;
+  }
+
+  seq_nums_asc.clear();
+  seq_nums_desc.clear();
+  x = 199;
+  for (int i = 0; i < 128; ++i) {
+    seq_nums_asc.insert(x);
+    seq_nums_desc.insert(x);
+    ASSERT_EQ(x, *seq_nums_asc.begin());
+    ASSERT_EQ(x, *seq_nums_desc.rbegin());
+    ++x;
+  }
+}
+
+TEST_F(TestSeqNumUtil, SeqNumComparatorWithDivisor) {
+  const uint8_t D = 223;
+
+  std::set<uint8_t, AscendingSeqNumComp<uint8_t, D>> seq_nums_asc;
+  std::set<uint8_t, DescendingSeqNumComp<uint8_t, D>> seq_nums_desc;
+
+  uint8_t x = 0;
+  for (int i = 0; i < D / 2; ++i) {
+    seq_nums_asc.insert(x);
+    seq_nums_desc.insert(x);
+    ASSERT_EQ(x, *seq_nums_asc.begin());
+    ASSERT_EQ(x, *seq_nums_desc.rbegin());
+    x = Add<D>(x, 1);
+  }
+
+  seq_nums_asc.clear();
+  seq_nums_desc.clear();
+  x = 200;
+  for (int i = 0; i < D / 2; ++i) {
+    seq_nums_asc.insert(x);
+    seq_nums_desc.insert(x);
+    ASSERT_EQ(x, *seq_nums_asc.begin());
+    ASSERT_EQ(x, *seq_nums_desc.rbegin());
+    x = Add<D>(x, 1);
+  }
+}
+
+#if GTEST_HAS_DEATH_TEST
+#if !defined(WEBRTC_ANDROID)
+TEST(SeqNumUnwrapper, NoBackWardWrap) {
+  SeqNumUnwrapper<uint8_t> unwrapper(0);
+  EXPECT_EQ(0U, unwrapper.Unwrap(0));
+
+  // The unwrapped sequence is not allowed to wrap, if that happens the
+  // SeqNumUnwrapper should have been constructed with a higher start value.
+  EXPECT_DEATH(unwrapper.Unwrap(255), "");
+}
+
+TEST(SeqNumUnwrapper, NoForwardWrap) {
+  SeqNumUnwrapper<uint32_t> unwrapper(std::numeric_limits<uint64_t>::max());
+  EXPECT_EQ(std::numeric_limits<uint64_t>::max(), unwrapper.Unwrap(0));
+
+  // The unwrapped sequence is not allowed to wrap, if that happens the
+  // SeqNumUnwrapper should have been constructed with a lower start value.
+  EXPECT_DEATH(unwrapper.Unwrap(1), "");
+}
+#endif
+#endif
+
+TEST(SeqNumUnwrapper, ForwardWrap) {
+  SeqNumUnwrapper<uint8_t> unwrapper(0);
+  EXPECT_EQ(0U, unwrapper.Unwrap(255));
+  EXPECT_EQ(1U, unwrapper.Unwrap(0));
+}
+
+TEST(SeqNumUnwrapper, ForwardWrapWithDivisor) {
+  SeqNumUnwrapper<uint8_t, 33> unwrapper(0);
+  EXPECT_EQ(0U, unwrapper.Unwrap(30));
+  EXPECT_EQ(6U, unwrapper.Unwrap(3));
+}
+
+TEST(SeqNumUnwrapper, BackWardWrap) {
+  SeqNumUnwrapper<uint8_t> unwrapper(10);
+  EXPECT_EQ(10U, unwrapper.Unwrap(0));
+  EXPECT_EQ(8U, unwrapper.Unwrap(254));
+}
+
+TEST(SeqNumUnwrapper, BackWardWrapWithDivisor) {
+  SeqNumUnwrapper<uint8_t, 33> unwrapper(10);
+  EXPECT_EQ(10U, unwrapper.Unwrap(0));
+  EXPECT_EQ(8U, unwrapper.Unwrap(31));
+}
+
+TEST(SeqNumUnwrapper, Unwrap) {
+  SeqNumUnwrapper<uint16_t> unwrapper(0);
+  const uint16_t kMax = std::numeric_limits<uint16_t>::max();
+  const uint16_t kMaxDist = kMax / 2 + 1;
+
+  EXPECT_EQ(0U, unwrapper.Unwrap(0));
+  EXPECT_EQ(kMaxDist, unwrapper.Unwrap(kMaxDist));
+  EXPECT_EQ(0U, unwrapper.Unwrap(0));
+
+  EXPECT_EQ(kMaxDist, unwrapper.Unwrap(kMaxDist));
+  EXPECT_EQ(kMax, unwrapper.Unwrap(kMax));
+  EXPECT_EQ(kMax + 1U, unwrapper.Unwrap(0));
+  EXPECT_EQ(kMax, unwrapper.Unwrap(kMax));
+  EXPECT_EQ(kMaxDist, unwrapper.Unwrap(kMaxDist));
+  EXPECT_EQ(0U, unwrapper.Unwrap(0));
+}
+
+TEST(SeqNumUnwrapper, UnwrapOddDivisor) {
+  SeqNumUnwrapper<uint8_t, 11> unwrapper(10);
+
+  EXPECT_EQ(10U, unwrapper.Unwrap(10));
+  EXPECT_EQ(11U, unwrapper.Unwrap(0));
+  EXPECT_EQ(16U, unwrapper.Unwrap(5));
+  EXPECT_EQ(21U, unwrapper.Unwrap(10));
+  EXPECT_EQ(22U, unwrapper.Unwrap(0));
+  EXPECT_EQ(17U, unwrapper.Unwrap(6));
+  EXPECT_EQ(12U, unwrapper.Unwrap(1));
+  EXPECT_EQ(7U, unwrapper.Unwrap(7));
+  EXPECT_EQ(2U, unwrapper.Unwrap(2));
+  EXPECT_EQ(0U, unwrapper.Unwrap(0));
+}
+
+TEST(SeqNumUnwrapper, ManyForwardWraps) {
+  const int kLargeNumber = 4711;
+  const int kMaxStep = kLargeNumber / 2;
+  const int kNumWraps = 100;
+  SeqNumUnwrapper<uint16_t, kLargeNumber> unwrapper;
+
+  uint16_t next_unwrap = 0;
+  uint64_t expected = decltype(unwrapper)::kDefaultStartValue;
+  for (int i = 0; i < kNumWraps * 2 + 1; ++i) {
+    EXPECT_EQ(expected, unwrapper.Unwrap(next_unwrap));
+    expected += kMaxStep;
+    next_unwrap = (next_unwrap + kMaxStep) % kLargeNumber;
+  }
+}
+
+TEST(SeqNumUnwrapper, ManyBackwardWraps) {
+  const int kLargeNumber = 4711;
+  const int kMaxStep = kLargeNumber / 2;
+  const int kNumWraps = 100;
+  SeqNumUnwrapper<uint16_t, kLargeNumber> unwrapper(kLargeNumber * kNumWraps);
+
+  uint16_t next_unwrap = 0;
+  uint64_t expected = kLargeNumber * kNumWraps;
+  for (uint16_t i = 0; i < kNumWraps * 2 + 1; ++i) {
+    EXPECT_EQ(expected, unwrapper.Unwrap(next_unwrap));
+    expected -= kMaxStep;
+    next_unwrap = (next_unwrap + kMaxStep + 1) % kLargeNumber;
+  }
+}
+
+}  // namespace webrtc