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diff --git a/absl/strings/internal/charconv_bigint_test.cc b/absl/strings/internal/charconv_bigint_test.cc
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+++ b/absl/strings/internal/charconv_bigint_test.cc
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+// Copyright 2018 The Abseil Authors.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//      http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "absl/strings/internal/charconv_bigint.h"
+
+#include <string>
+
+#include "gtest/gtest.h"
+
+namespace absl {
+namespace strings_internal {
+
+TEST(BigUnsigned, ShiftLeft) {
+  {
+    // Check that 3 * 2**100 is calculated correctly
+    BigUnsigned<4> num(3u);
+    num.ShiftLeft(100);
+    EXPECT_EQ(num, BigUnsigned<4>("3802951800684688204490109616128"));
+  }
+  {
+    // Test that overflow is truncated properly.
+    // 15 is 4 bits long, and BigUnsigned<4> is a 128-bit bigint.
+    // Shifting left by 125 bits should truncate off the high bit, so that
+    //   15 << 125 == 7 << 125
+    // after truncation.
+    BigUnsigned<4> a(15u);
+    BigUnsigned<4> b(7u);
+    BigUnsigned<4> c(3u);
+    a.ShiftLeft(125);
+    b.ShiftLeft(125);
+    c.ShiftLeft(125);
+    EXPECT_EQ(a, b);
+    EXPECT_NE(a, c);
+  }
+  {
+    // Same test, larger bigint:
+    BigUnsigned<84> a(15u);
+    BigUnsigned<84> b(7u);
+    BigUnsigned<84> c(3u);
+    a.ShiftLeft(84 * 32 - 3);
+    b.ShiftLeft(84 * 32 - 3);
+    c.ShiftLeft(84 * 32 - 3);
+    EXPECT_EQ(a, b);
+    EXPECT_NE(a, c);
+  }
+  {
+    // Check that incrementally shifting has the same result as doing it all at
+    // once (attempting to capture corner cases.)
+    const std::string seed = "1234567890123456789012345678901234567890";
+    BigUnsigned<84> a(seed);
+    for (int i = 1; i <= 84 * 32; ++i) {
+      a.ShiftLeft(1);
+      BigUnsigned<84> b(seed);
+      b.ShiftLeft(i);
+      EXPECT_EQ(a, b);
+    }
+    // And we should have fully rotated all bits off by now:
+    EXPECT_EQ(a, BigUnsigned<84>(0u));
+  }
+}
+
+TEST(BigUnsigned, MultiplyByUint32) {
+  const BigUnsigned<84> factorial_100(
+      "933262154439441526816992388562667004907159682643816214685929638952175999"
+      "932299156089414639761565182862536979208272237582511852109168640000000000"
+      "00000000000000");
+  BigUnsigned<84> a(1u);
+  for (uint32_t i = 1; i <= 100; ++i) {
+    a.MultiplyBy(i);
+  }
+  EXPECT_EQ(a, BigUnsigned<84>(factorial_100));
+}
+
+TEST(BigUnsigned, MultiplyByBigUnsigned) {
+  {
+    // Put the terms of factorial_200 into two bigints, and multiply them
+    // together.
+    const BigUnsigned<84> factorial_200(
+        "7886578673647905035523632139321850622951359776871732632947425332443594"
+        "4996340334292030428401198462390417721213891963883025764279024263710506"
+        "1926624952829931113462857270763317237396988943922445621451664240254033"
+        "2918641312274282948532775242424075739032403212574055795686602260319041"
+        "7032406235170085879617892222278962370389737472000000000000000000000000"
+        "0000000000000000000000000");
+    BigUnsigned<84> evens(1u);
+    BigUnsigned<84> odds(1u);
+    for (uint32_t i = 1; i < 200; i += 2) {
+      odds.MultiplyBy(i);
+      evens.MultiplyBy(i + 1);
+    }
+    evens.MultiplyBy(odds);
+    EXPECT_EQ(evens, factorial_200);
+  }
+  {
+    // Multiply various powers of 10 together.
+    for (int a = 0 ; a < 700; a += 25) {
+      SCOPED_TRACE(a);
+      BigUnsigned<84> a_value("3" + std::string(a, '0'));
+      for (int b = 0; b < (700 - a); b += 25) {
+        SCOPED_TRACE(b);
+        BigUnsigned<84> b_value("2" + std::string(b, '0'));
+        BigUnsigned<84> expected_product("6" + std::string(a + b, '0'));
+        b_value.MultiplyBy(a_value);
+        EXPECT_EQ(b_value, expected_product);
+      }
+    }
+  }
+}
+
+TEST(BigUnsigned, MultiplyByOverflow) {
+  {
+    // Check that multiplcation overflow predictably truncates.
+
+    // A big int with all bits on.
+    BigUnsigned<4> all_bits_on("340282366920938463463374607431768211455");
+    // Modulo 2**128, this is equal to -1.  Therefore the square of this,
+    // modulo 2**128, should be 1.
+    all_bits_on.MultiplyBy(all_bits_on);
+    EXPECT_EQ(all_bits_on, BigUnsigned<4>(1u));
+  }
+  {
+    // Try multiplying a large bigint by 2**50, and compare the result to
+    // shifting.
+    BigUnsigned<4> value_1("12345678901234567890123456789012345678");
+    BigUnsigned<4> value_2("12345678901234567890123456789012345678");
+    BigUnsigned<4> two_to_fiftieth(1u);
+    two_to_fiftieth.ShiftLeft(50);
+
+    value_1.ShiftLeft(50);
+    value_2.MultiplyBy(two_to_fiftieth);
+    EXPECT_EQ(value_1, value_2);
+  }
+}
+
+TEST(BigUnsigned, FiveToTheNth) {
+  {
+    // Sanity check that MultiplyByFiveToTheNth gives consistent answers, up to
+    // and including overflow.
+    for (int i = 0; i < 1160; ++i) {
+      SCOPED_TRACE(i);
+      BigUnsigned<84> value_1(123u);
+      BigUnsigned<84> value_2(123u);
+      value_1.MultiplyByFiveToTheNth(i);
+      for (int j = 0; j < i; j++) {
+        value_2.MultiplyBy(5u);
+      }
+      EXPECT_EQ(value_1, value_2);
+    }
+  }
+  {
+    // Check that the faster, table-lookup-based static method returns the same
+    // result that multiplying in-place would return, up to and including
+    // overflow.
+    for (int i = 0; i < 1160; ++i) {
+      SCOPED_TRACE(i);
+      BigUnsigned<84> value_1(1u);
+      value_1.MultiplyByFiveToTheNth(i);
+      BigUnsigned<84> value_2 = BigUnsigned<84>::FiveToTheNth(i);
+      EXPECT_EQ(value_1, value_2);
+    }
+  }
+}
+
+TEST(BigUnsigned, TenToTheNth) {
+  {
+    // Sanity check MultiplyByTenToTheNth.
+    for (int i = 0; i < 800; ++i) {
+      SCOPED_TRACE(i);
+      BigUnsigned<84> value_1(123u);
+      BigUnsigned<84> value_2(123u);
+      value_1.MultiplyByTenToTheNth(i);
+      for (int j = 0; j < i; j++) {
+        value_2.MultiplyBy(10u);
+      }
+      EXPECT_EQ(value_1, value_2);
+    }
+  }
+  {
+    // Alternate testing approach, taking advantage of the decimal parser.
+    for (int i = 0; i < 200; ++i) {
+      SCOPED_TRACE(i);
+      BigUnsigned<84> value_1(135u);
+      value_1.MultiplyByTenToTheNth(i);
+      BigUnsigned<84> value_2("135" + std::string(i, '0'));
+      EXPECT_EQ(value_1, value_2);
+    }
+  }
+}
+
+
+}  // namespace strings_internal
+}  // namespace absl