test-bignum.cc 54.9 KB
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// Copyright 2010 the V8 project authors. All rights reserved.
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
//     * Redistributions of source code must retain the above copyright
//       notice, this list of conditions and the following disclaimer.
//     * Redistributions in binary form must reproduce the above
//       copyright notice, this list of conditions and the following
//       disclaimer in the documentation and/or other materials provided
//       with the distribution.
//     * Neither the name of Google Inc. nor the names of its
//       contributors may be used to endorse or promote products derived
//       from this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

#include <stdlib.h>

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#include "src/v8.h"
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#include "src/base/platform/platform.h"
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#include "src/bignum.h"
#include "test/cctest/cctest.h"
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using namespace v8::internal;


static const int kBufferSize = 1024;

static void AssignHexString(Bignum* bignum, const char* str) {
  bignum->AssignHexString(Vector<const char>(str, StrLength(str)));
}


static void AssignDecimalString(Bignum* bignum, const char* str) {
  bignum->AssignDecimalString(Vector<const char>(str, StrLength(str)));
}


TEST(Assign) {
  char buffer[kBufferSize];
  Bignum bignum;
  Bignum bignum2;
  bignum.AssignUInt16(0);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("0", buffer));
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  bignum.AssignUInt16(0xA);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("A", buffer));
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  bignum.AssignUInt16(0x20);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("20", buffer));
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  bignum.AssignUInt64(0);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("0", buffer));
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  bignum.AssignUInt64(0xA);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("A", buffer));
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  bignum.AssignUInt64(0x20);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("20", buffer));
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  bignum.AssignUInt64(0x100);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("100", buffer));
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  // The first real test, since this will not fit into one bigit.
  bignum.AssignUInt64(0x12345678);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("12345678", buffer));
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  uint64_t big = V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF);
  bignum.AssignUInt64(big);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFFFFFFFFFFF", buffer));
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  big = V8_2PART_UINT64_C(0x12345678, 9ABCDEF0);
  bignum.AssignUInt64(big);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("123456789ABCDEF0", buffer));
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  bignum2.AssignBignum(bignum);
  CHECK(bignum2.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("123456789ABCDEF0", buffer));
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  AssignDecimalString(&bignum, "0");
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("0", buffer));
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  AssignDecimalString(&bignum, "1");
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1", buffer));
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  AssignDecimalString(&bignum, "1234567890");
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("499602D2", buffer));
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  AssignHexString(&bignum, "0");
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("0", buffer));
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  AssignHexString(&bignum, "123456789ABCDEF0");
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("123456789ABCDEF0", buffer));
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}


TEST(ShiftLeft) {
  char buffer[kBufferSize];
  Bignum bignum;
  AssignHexString(&bignum, "0");
  bignum.ShiftLeft(100);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("0", buffer));
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  AssignHexString(&bignum, "1");
  bignum.ShiftLeft(1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("2", buffer));
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  AssignHexString(&bignum, "1");
  bignum.ShiftLeft(4);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10", buffer));
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  AssignHexString(&bignum, "1");
  bignum.ShiftLeft(32);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("100000000", buffer));
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  AssignHexString(&bignum, "1");
  bignum.ShiftLeft(64);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000", buffer));
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  AssignHexString(&bignum, "123456789ABCDEF");
  bignum.ShiftLeft(64);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("123456789ABCDEF0000000000000000", buffer));
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  bignum.ShiftLeft(1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("2468ACF13579BDE0000000000000000", buffer));
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}


TEST(AddUInt64) {
  char buffer[kBufferSize];
  Bignum bignum;
  AssignHexString(&bignum, "0");
  bignum.AddUInt64(0xA);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("A", buffer));
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  AssignHexString(&bignum, "1");
  bignum.AddUInt64(0xA);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("B", buffer));
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  AssignHexString(&bignum, "1");
  bignum.AddUInt64(0x100);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("101", buffer));
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  AssignHexString(&bignum, "1");
  bignum.AddUInt64(0xFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000", buffer));
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  AssignHexString(&bignum, "FFFFFFF");
  bignum.AddUInt64(0x1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000", buffer));
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  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
  bignum.AddUInt64(0xFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1000000000000000000000000000000000000000FFFF", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
  bignum.AddUInt64(0x1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("100000000000000000000000000000000000000000000", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  bignum.AddUInt64(1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000000000001", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  bignum.AddUInt64(0xFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1000000000000000000000FFFF", buffer));
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  AssignHexString(&bignum, "0");
  bignum.AddUInt64(V8_2PART_UINT64_C(0xA, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("A00000000", buffer));
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  AssignHexString(&bignum, "1");
  bignum.AddUInt64(V8_2PART_UINT64_C(0xA, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("A00000001", buffer));
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  AssignHexString(&bignum, "1");
  bignum.AddUInt64(V8_2PART_UINT64_C(0x100, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000001", buffer));
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  AssignHexString(&bignum, "1");
  bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFF00000001", buffer));
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  AssignHexString(&bignum, "FFFFFFF");
  bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10FFFFFFF", buffer));
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  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
  bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000000000000000000FFFF00000000", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
  bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1000000000000000000000000000000000000FFFFFFFF", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  bignum.AddUInt64(V8_2PART_UINT64_C(0x1, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000100000000", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  bignum.AddUInt64(V8_2PART_UINT64_C(0xFFFF, 00000000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000FFFF00000000", buffer));
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}


TEST(AddBignum) {
  char buffer[kBufferSize];
  Bignum bignum;
  Bignum other;

  AssignHexString(&other, "1");
  AssignHexString(&bignum, "0");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1", buffer));
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  AssignHexString(&bignum, "1");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("2", buffer));
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  AssignHexString(&bignum, "FFFFFFF");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFF");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("100000000000000", buffer));
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  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000000000000000000000000000001", buffer));
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  AssignHexString(&other, "1000000000000");

  AssignHexString(&bignum, "1");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1000000000001", buffer));
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  AssignHexString(&bignum, "FFFFFFF");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("100000FFFFFFF", buffer));
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  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000000000000000001000000000000", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1000000000000000000000000000000FFFFFFFFFFFF", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000001000000000000", buffer));
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  other.ShiftLeft(64);
  // other == "10000000000000000000000000000"

  bignum.AssignUInt16(0x1);
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000000000000001", buffer));
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  AssignHexString(&bignum, "FFFFFFF");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1000000000000000000000FFFFFFF", buffer));
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  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000010000000000000000000000000000", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("100000000000000FFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  bignum.AddBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10010000000000000000000000000", buffer));
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}


TEST(SubtractBignum) {
  char buffer[kBufferSize];
  Bignum bignum;
  Bignum other;

  AssignHexString(&bignum, "1");
  AssignHexString(&other, "0");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1", buffer));
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  AssignHexString(&bignum, "2");
  AssignHexString(&other, "0");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("2", buffer));
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  AssignHexString(&bignum, "10000000");
  AssignHexString(&other, "1");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFF", buffer));
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  AssignHexString(&bignum, "100000000000000");
  AssignHexString(&other, "1");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFFFFFFFFF", buffer));
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  AssignHexString(&bignum, "10000000000000000000000000000000000000000001");
  AssignHexString(&other, "1");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000000000000000000000000000000", buffer));
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  AssignHexString(&bignum, "1000000000001");
  AssignHexString(&other, "1000000000000");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1", buffer));
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  AssignHexString(&bignum, "100000FFFFFFF");
  AssignHexString(&other, "1000000000000");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFF", buffer));
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  AssignHexString(&bignum, "10000000000000000000000000000001000000000000");
  AssignHexString(&other, "1000000000000");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("10000000000000000000000000000000000000000000", buffer));
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  AssignHexString(&bignum, "1000000000000000000000000000000FFFFFFFFFFFF");
  AssignHexString(&other, "1000000000000");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  // "10 0000 0000 0000 0000 0000 0000"
  AssignHexString(&other, "1000000000000");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFFFFFFFF000000000000", buffer));
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  AssignHexString(&other, "1000000000000");
  other.ShiftLeft(48);
  // other == "1000000000000000000000000"

  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  // bignum == "10000000000000000000000000"
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("F000000000000000000000000", buffer));
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  other.AssignUInt16(0x1);
  other.ShiftLeft(35);
  // other == "800000000"
  AssignHexString(&bignum, "FFFFFFF");
  bignum.ShiftLeft(60);
  // bignum = FFFFFFF000000000000000
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFEFFFFFF800000000", buffer));
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  AssignHexString(&bignum, "10000000000000000000000000000000000000000000");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF800000000", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF");
  bignum.SubtractBignum(other);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFFF", buffer));
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}


TEST(MultiplyUInt32) {
  char buffer[kBufferSize];
  Bignum bignum;

  AssignHexString(&bignum, "0");
  bignum.MultiplyByUInt32(0x25);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("0", buffer));
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  AssignHexString(&bignum, "2");
  bignum.MultiplyByUInt32(0x5);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("A", buffer));
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  AssignHexString(&bignum, "10000000");
  bignum.MultiplyByUInt32(0x9);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("90000000", buffer));
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  AssignHexString(&bignum, "100000000000000");
  bignum.MultiplyByUInt32(0xFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFF00000000000000", buffer));
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  AssignHexString(&bignum, "100000000000000");
  bignum.MultiplyByUInt32(0xFFFFFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFFFF00000000000000", buffer));
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  AssignHexString(&bignum, "1234567ABCD");
  bignum.MultiplyByUInt32(0xFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("12333335552433", buffer));
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  AssignHexString(&bignum, "1234567ABCD");
  bignum.MultiplyByUInt32(0xFFFFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("12345679998A985433", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
  bignum.MultiplyByUInt32(0x2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("1FFFFFFFFFFFFFFFE", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
  bignum.MultiplyByUInt32(0x4);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("3FFFFFFFFFFFFFFFC", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
  bignum.MultiplyByUInt32(0xF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("EFFFFFFFFFFFFFFF1", buffer));
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  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
  bignum.MultiplyByUInt32(0xFFFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFFFEFFFFFFFFFF000001", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  // "10 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt32(2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("20000000000000000000000000", buffer));
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  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  // "10 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt32(0xF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("F0000000000000000000000000", buffer));
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  bignum.AssignUInt16(0xFFFF);
  bignum.ShiftLeft(100);
  // "FFFF0 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt32(0xFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFE00010000000000000000000000000", buffer));
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  bignum.AssignUInt16(0xFFFF);
  bignum.ShiftLeft(100);
  // "FFFF0 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt32(0xFFFFFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFEFFFF00010000000000000000000000000", buffer));
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  bignum.AssignUInt16(0xFFFF);
  bignum.ShiftLeft(100);
  // "FFFF0 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt32(0xFFFFFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("FFFEFFFF00010000000000000000000000000", buffer));
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  AssignDecimalString(&bignum, "15611230384529777");
  bignum.MultiplyByUInt32(10000000);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("210EDD6D4CDD2580EE80", buffer));
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}


TEST(MultiplyUInt64) {
  char buffer[kBufferSize];
  Bignum bignum;

  AssignHexString(&bignum, "0");
  bignum.MultiplyByUInt64(0x25);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
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  CHECK_EQ(0, strcmp("0", buffer));
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  AssignHexString(&bignum, "2");
  bignum.MultiplyByUInt64(0x5);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
560
  CHECK_EQ(0, strcmp("A", buffer));
561 562 563 564

  AssignHexString(&bignum, "10000000");
  bignum.MultiplyByUInt64(0x9);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
565
  CHECK_EQ(0, strcmp("90000000", buffer));
566 567 568 569

  AssignHexString(&bignum, "100000000000000");
  bignum.MultiplyByUInt64(0xFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
570
  CHECK_EQ(0, strcmp("FFFF00000000000000", buffer));
571 572 573 574

  AssignHexString(&bignum, "100000000000000");
  bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
575
  CHECK_EQ(0, strcmp("FFFFFFFFFFFFFFFF00000000000000", buffer));
576 577 578 579

  AssignHexString(&bignum, "1234567ABCD");
  bignum.MultiplyByUInt64(0xFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
580
  CHECK_EQ(0, strcmp("12333335552433", buffer));
581 582 583 584

  AssignHexString(&bignum, "1234567ABCD");
  bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFF, FFFFFFFF));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
585
  CHECK_EQ(0, strcmp("1234567ABCBDCBA985433", buffer));
586 587 588 589

  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
  bignum.MultiplyByUInt64(0x2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
590
  CHECK_EQ(0, strcmp("1FFFFFFFFFFFFFFFE", buffer));
591 592 593 594

  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
  bignum.MultiplyByUInt64(0x4);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
595
  CHECK_EQ(0, strcmp("3FFFFFFFFFFFFFFFC", buffer));
596 597 598 599

  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
  bignum.MultiplyByUInt64(0xF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
600
  CHECK_EQ(0, strcmp("EFFFFFFFFFFFFFFF1", buffer));
601 602 603 604

  AssignHexString(&bignum, "FFFFFFFFFFFFFFFF");
  bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
605
  CHECK_EQ(0, strcmp("FFFFFFFFFFFFFFFE0000000000000001", buffer));
606 607 608 609 610 611

  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  // "10 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt64(2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
612
  CHECK_EQ(0, strcmp("20000000000000000000000000", buffer));
613 614 615 616 617 618

  bignum.AssignUInt16(0x1);
  bignum.ShiftLeft(100);
  // "10 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt64(0xF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
619
  CHECK_EQ(0, strcmp("F0000000000000000000000000", buffer));
620 621 622 623 624 625

  bignum.AssignUInt16(0xFFFF);
  bignum.ShiftLeft(100);
  // "FFFF0 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt64(0xFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
626
  CHECK_EQ(0, strcmp("FFFE00010000000000000000000000000", buffer));
627 628 629 630 631 632

  bignum.AssignUInt16(0xFFFF);
  bignum.ShiftLeft(100);
  // "FFFF0 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt64(0xFFFFFFFF);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
633
  CHECK_EQ(0, strcmp("FFFEFFFF00010000000000000000000000000", buffer));
634 635 636 637 638 639

  bignum.AssignUInt16(0xFFFF);
  bignum.ShiftLeft(100);
  // "FFFF0 0000 0000 0000 0000 0000 0000"
  bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0xFFFFFFFF, FFFFFFFF));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
640
  CHECK_EQ(0, strcmp("FFFEFFFFFFFFFFFF00010000000000000000000000000", buffer));
641 642 643 644

  AssignDecimalString(&bignum, "15611230384529777");
  bignum.MultiplyByUInt64(V8_2PART_UINT64_C(0x8ac72304, 89e80000));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
645
  CHECK_EQ(0, strcmp("1E10EE4B11D15A7F3DE7F3C7680000", buffer));
646 647 648 649 650 651 652 653 654 655
}


TEST(MultiplyPowerOfTen) {
  char buffer[kBufferSize];
  Bignum bignum;

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
656
  CHECK_EQ(0, strcmp("3034", buffer));
657 658 659 660

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
661
  CHECK_EQ(0, strcmp("1E208", buffer));
662 663 664 665

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(3);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
666
  CHECK_EQ(0, strcmp("12D450", buffer));
667 668 669 670

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(4);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
671
  CHECK_EQ(0, strcmp("BC4B20", buffer));
672 673 674 675

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(5);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
676
  CHECK_EQ(0, strcmp("75AEF40", buffer));
677 678 679 680

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(6);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
681
  CHECK_EQ(0, strcmp("498D5880", buffer));
682 683 684 685

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(7);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
686
  CHECK_EQ(0, strcmp("2DF857500", buffer));
687 688 689 690

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(8);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
691
  CHECK_EQ(0, strcmp("1CBB369200", buffer));
692 693 694 695

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(9);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
696
  CHECK_EQ(0, strcmp("11F5021B400", buffer));
697 698 699 700

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(10);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
701
  CHECK_EQ(0, strcmp("B3921510800", buffer));
702 703 704 705

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(11);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
706
  CHECK_EQ(0, strcmp("703B4D2A5000", buffer));
707 708 709 710

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(12);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
711
  CHECK_EQ(0, strcmp("4625103A72000", buffer));
712 713 714 715

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(13);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
716
  CHECK_EQ(0, strcmp("2BD72A24874000", buffer));
717 718 719 720

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(14);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
721
  CHECK_EQ(0, strcmp("1B667A56D488000", buffer));
722 723 724 725

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(15);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
726
  CHECK_EQ(0, strcmp("11200C7644D50000", buffer));
727 728 729 730

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(16);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
731
  CHECK_EQ(0, strcmp("AB407C9EB0520000", buffer));
732 733 734 735

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(17);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
736
  CHECK_EQ(0, strcmp("6B084DE32E3340000", buffer));
737 738 739 740

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(18);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
741
  CHECK_EQ(0, strcmp("42E530ADFCE0080000", buffer));
742 743 744 745

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(19);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
746
  CHECK_EQ(0, strcmp("29CF3E6CBE0C0500000", buffer));
747 748 749 750

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(20);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
751
  CHECK_EQ(0, strcmp("1A218703F6C783200000", buffer));
752 753 754 755

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(21);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
756
  CHECK_EQ(0, strcmp("1054F4627A3CB1F400000", buffer));
757 758 759 760

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(22);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
761
  CHECK_EQ(0, strcmp("A3518BD8C65EF38800000", buffer));
762 763 764 765

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(23);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
766
  CHECK_EQ(0, strcmp("6612F7677BFB5835000000", buffer));
767 768 769 770

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(24);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
771
  CHECK_EQ(0, strcmp("3FCBDAA0AD7D17212000000", buffer));
772 773 774 775

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(25);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
776
  CHECK_EQ(0, strcmp("27DF68A46C6E2E74B4000000", buffer));
777 778 779 780

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(26);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
781
  CHECK_EQ(0, strcmp("18EBA166C3C4DD08F08000000", buffer));
782 783 784 785

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(27);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
786
  CHECK_EQ(0, strcmp("F9344E03A5B0A259650000000", buffer));
787 788 789 790

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(28);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
791
  CHECK_EQ(0, strcmp("9BC0B0C2478E6577DF20000000", buffer));
792 793 794 795

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(29);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
796
  CHECK_EQ(0, strcmp("61586E796CB8FF6AEB740000000", buffer));
797 798 799 800

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(30);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
801
  CHECK_EQ(0, strcmp("3CD7450BE3F39FA2D32880000000", buffer));
802 803 804 805

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(31);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
806
  CHECK_EQ(0, strcmp("26068B276E7843C5C3F9500000000", buffer));
807 808 809 810

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(50);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
811
  CHECK_EQ(0, strcmp("149D1B4CFED03B23AB5F4E1196EF45C08000000000000", buffer));
812 813 814 815

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(100);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
816 817 818 819 820
  CHECK_EQ(0,
           strcmp(
               "5827249F27165024FBC47DFCA9359BF316332D1B91ACEECF471FBAB06D9B2"
               "0000000000000000000000000",
               buffer));
821 822 823 824

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(200);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
825 826 827 828 829 830
  CHECK_EQ(0,
           strcmp(
               "64C1F5C06C3816AFBF8DAFD5A3D756365BB0FD020E6F084E759C1F7C99E4F"
               "55B9ACC667CEC477EB958C2AEEB3C6C19BA35A1AD30B35C51EB72040920000"
               "0000000000000000000000000000000000000000000000",
               buffer));
831 832 833 834

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(500);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
835 836 837 838 839 840 841 842 843 844
  CHECK_EQ(0,
           strcmp(
               "96741A625EB5D7C91039FEB5C5ACD6D9831EDA5B083D800E6019442C8C8223"
               "3EAFB3501FE2058062221E15121334928880827DEE1EC337A8B26489F3A40A"
               "CB440A2423734472D10BFCE886F41B3AF9F9503013D86D088929CA86EEB4D8"
               "B9C831D0BD53327B994A0326227CFD0ECBF2EB48B02387AAE2D4CCCDF1F1A1"
               "B8CC4F1FA2C56AD40D0E4DAA9C28CDBF0A549098EA13200000000000000000"
               "00000000000000000000000000000000000000000000000000000000000000"
               "0000000000000000000000000000000000000000000000",
               buffer));
845 846 847 848

  AssignDecimalString(&bignum, "1234");
  bignum.MultiplyByPowerOfTen(1000);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865
  CHECK_EQ(0,
           strcmp(
               "1258040F99B1CD1CC9819C676D413EA50E4A6A8F114BB0C65418C62D399B81"
               "6361466CA8E095193E1EE97173553597C96673AF67FAFE27A66E7EF2E5EF2E"
               "E3F5F5070CC17FE83BA53D40A66A666A02F9E00B0E11328D2224B8694C7372"
               "F3D536A0AD1985911BD361496F268E8B23112500EAF9B88A9BC67B2AB04D38"
               "7FEFACD00F5AF4F764F9ABC3ABCDE54612DE38CD90CB6647CA389EA0E86B16"
               "BF7A1F34086E05ADBE00BD1673BE00FAC4B34AF1091E8AD50BA675E0381440"
               "EA8E9D93E75D816BAB37C9844B1441C38FC65CF30ABB71B36433AF26DD97BD"
               "ABBA96C03B4919B8F3515B92826B85462833380DC193D79F69D20DD6038C99"
               "6114EF6C446F0BA28CC772ACBA58B81C04F8FFDE7B18C4E5A3ABC51E637FDF"
               "6E37FDFF04C940919390F4FF92000000000000000000000000000000000000"
               "00000000000000000000000000000000000000000000000000000000000000"
               "00000000000000000000000000000000000000000000000000000000000000"
               "00000000000000000000000000000000000000000000000000000000000000"
               "0000000000000000000000000000",
               buffer));
866 867 868 869 870 871 872 873 874 875 876 877

  Bignum bignum2;
  AssignHexString(&bignum2, "3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
                            "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
                            "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
                            "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
                            "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
                            "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
                            "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
                            "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
                            "C667A10958EA6D2");
  CHECK(bignum2.ToHexString(buffer, kBufferSize));
878 879 880 881 882 883 884 885 886 887 888
  CHECK_EQ(0, strcmp(
                  "3DA774C07FB5DF54284D09C675A492165B830D5DAAEB2A7501"
                  "DA17CF9DFA1CA2282269F92A25A97314296B717E3DCBB9FE17"
                  "41A842FE2913F540F40796F2381155763502C58B15AF7A7F88"
                  "6F744C9164FF409A28F7FA0C41F89ED79C1BE9F322C8578B97"
                  "841F1CBAA17D901BE1230E3C00E1C643AF32638B5674E01FEA"
                  "96FC90864E621B856A9E1CE56E6EB545B9C2F8F0CC10DDA88D"
                  "CC6D282605F8DB67044F2DFD3695E7BA63877AE16701536AE6"
                  "567C794D0BFE338DFBB42D92D4215AF3BB22BF0A8B283FDDC2"
                  "C667A10958EA6D2",
                  buffer));
889 890 891 892

  bignum.AssignBignum(bignum2);
  bignum.MultiplyByPowerOfTen(1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
893 894 895 896 897 898 899 900 901 902
  CHECK_EQ(0,
           strcmp(
               "2688A8F84FD1AB949930261C0986DB4DF931E85A8AD2FA8921284EE1C2BC51"
               "E55915823BBA5789E7EC99E326EEE69F543ECE890929DED9AC79489884BE57"
               "630AD569E121BB76ED8DAC8FB545A8AFDADF1F8860599AFC47A93B6346C191"
               "7237F5BD36B73EB29371F4A4EE7A116CB5E8E5808D1BEA4D7F7E3716090C13"
               "F29E5DDA53F0FD513362A2D20F6505314B9419DB967F8A8A89589FC43917C3"
               "BB892062B17CBE421DB0D47E34ACCCE060D422CFF60DCBD0277EE038BD509C"
               "7BC494D8D854F5B76696F927EA99BC00C4A5D7928434",
               buffer));
903 904 905 906

  bignum.AssignBignum(bignum2);
  bignum.MultiplyByPowerOfTen(2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
907 908 909 910 911 912 913 914 915 916
  CHECK_EQ(0,
           strcmp(
               "1815699B31E30B3CDFBE17D185F44910BBBF313896C3DC95B4B9314D19B5B32"
               "F57AD71655476B630F3E02DF855502394A74115A5BA2B480BCBCD5F52F6F69D"
               "E6C5622CB5152A54788BD9D14B896DE8CB73B53C3800DDACC9C51E0C38FAE76"
               "2F9964232872F9C2738E7150C4AE3F1B18F70583172706FAEE26DC5A78C77A2"
               "FAA874769E52C01DA5C3499F233ECF3C90293E0FB69695D763DAA3AEDA5535B"
               "43DAEEDF6E9528E84CEE0EC000C3C8495C1F9C89F6218AF4C23765261CD5ADD"
               "0787351992A01E5BB8F2A015807AE7A6BB92A08",
               buffer));
917 918 919 920

  bignum.AssignBignum(bignum2);
  bignum.MultiplyByPowerOfTen(5);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
921 922 923 924 925 926 927 928 929 930
  CHECK_EQ(0,
           strcmp(
               "5E13A4863ADEE3E5C9FE8D0A73423D695D62D8450CED15A8C9F368952C6DC3"
               "F0EE7D82F3D1EFB7AF38A3B3920D410AFCAD563C8F5F39116E141A3C5C14B3"
               "58CD73077EA35AAD59F6E24AD98F10D5555ABBFBF33AC361EAF429FD5FBE94"
               "17DA9EF2F2956011F9F93646AA38048A681D984ED88127073443247CCC167C"
               "B354A32206EF5A733E73CF82D795A1AD598493211A6D613C39515E0E0F6304"
               "DCD9C810F3518C7F6A7CB6C81E99E02FCC65E8FDB7B7AE97306CC16A8631CE"
               "0A2AEF6568276BE4C176964A73C153FDE018E34CB4C2F40",
               buffer));
931 932 933 934

  bignum.AssignBignum(bignum2);
  bignum.MultiplyByPowerOfTen(10);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
935 936 937 938 939 940 941 942 943 944
  CHECK_EQ(0,
           strcmp(
               "8F8CB8EB51945A7E815809F6121EF2F4E61EF3405CD9432CAD2709749EEAFD"
               "1B81E843F14A3667A7BDCCC9E0BB795F63CDFDB62844AC7438976C885A0116"
               "29607DA54F9C023CC366570B7637ED0F855D931752038A614922D0923E382C"
               "B8E5F6C975672DB76E0DE471937BB9EDB11E28874F1C122D5E1EF38CECE9D0"
               "0723056BCBD4F964192B76830634B1D322B7EB0062F3267E84F5C824343A77"
               "4B7DCEE6DD464F01EBDC8C671BB18BB4EF4300A42474A6C77243F2A12B03BF"
               "0443C38A1C0D2701EDB393135AE0DEC94211F9D4EB51F990800",
               buffer));
945 946 947 948

  bignum.AssignBignum(bignum2);
  bignum.MultiplyByPowerOfTen(50);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
949 950 951 952 953 954 955 956 957 958 959
  CHECK_EQ(0,
           strcmp(
               "107A8BE345E24407372FC1DE442CBA696BC23C4FFD5B4BDFD9E5C39559815"
               "86628CF8472D2D589F2FC2BAD6E0816EC72CBF85CCA663D8A1EC6C51076D8"
               "2D247E6C26811B7EC4D4300FB1F91028DCB7B2C4E7A60C151161AA7E65E79"
               "B40917B12B2B5FBE7745984D4E8EFA31F9AE6062427B068B144A9CB155873"
               "E7C0C9F0115E5AC72DC5A73C4796DB970BF9205AB8C77A6996EB1B417F9D1"
               "6232431E6313C392203601B9C22CC10DDA88DCC6D282605F8DB67044F2DFD"
               "3695E7BA63877AE16701536AE6567C794D0BFE338DFBB42D924CF964BD2C0"
               "F586E03A2FCD35A408000000000000",
               buffer));
960 961 962 963

  bignum.AssignBignum(bignum2);
  bignum.MultiplyByPowerOfTen(100);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
964 965 966 967 968 969 970 971 972 973 974 975
  CHECK_EQ(0,
           strcmp(
               "46784A90ACD0ED3E7759CC585FB32D36EB6034A6F78D92604E3BAA5ED3D8B"
               "6E60E854439BE448897FB4B7EA5A3D873AA0FCB3CFFD80D0530880E45F511"
               "722A50CE7E058B5A6F5464DB7500E34984EE3202A9441F44FA1554C0CEA96"
               "B438A36F25E7C9D56D71AE2CD313EC37534DA299AC0854FC48591A7CF3171"
               "31265AA4AE62DE32344CE7BEEEF894AE686A2DAAFE5D6D9A10971FFD9C064"
               "5079B209E1048F58B5192D41D84336AC4C8C489EEF00939CFC9D55C122036"
               "01B9C22CC10DDA88DCC6D282605F8DB67044F2DFD3695E7BA3F67B96D3A32"
               "E11FB5561B68744C4035B0800DC166D49D98E3FD1D5BB2000000000000000"
               "0000000000",
               buffer));
976 977 978 979

  bignum.AssignBignum(bignum2);
  bignum.MultiplyByPowerOfTen(200);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
980 981 982 983 984 985 986 987 988 989 990 991 992
  CHECK_EQ(0,
           strcmp(
               "508BD351221DF139D72D88CDC0416845A53EE2D0E6B98352509A9AC312F8C"
               "6CB1A144889416201E0B6CE66EA3EBE259B5FD79ECFC1FD77963CE516CC7E"
               "2FE73D4B5B710C19F6BCB092C7A2FD76286543B8DBD2C596DFF2C896720BA"
               "DFF7BC9C366ACEA3A880AEC287C5E6207DF2739B5326FC19D773BD830B109"
               "ED36C7086544BF8FDB9D4B73719C2B5BC2F571A5937EC46876CD428281F6B"
               "F287E1E07F25C1B1D46BC37324FF657A8B2E0071DB83B86123CA34004F406"
               "001082D7945E90C6E8C9A9FEC2B44BE0DDA46E9F52B152E4D1336D2FCFBC9"
               "96E30CA0082256737365158FE36482AA7EB9DAF2AB128F10E7551A3CD5BE6"
               "0A922F3A7D5EED38B634A7EC95BCF7021BA6820A292000000000000000000"
               "00000000000000000000000000000000",
               buffer));
993 994 995 996

  bignum.AssignBignum(bignum2);
  bignum.MultiplyByPowerOfTen(500);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013
  CHECK_EQ(0,
           strcmp(
               "7845F900E475B5086885BAAAE67C8E85185ACFE4633727F82A4B06B5582AC"
               "BE933C53357DA0C98C20C5AC900C4D76A97247DF52B79F48F9E35840FB715"
               "D392CE303E22622B0CF82D9471B398457DD3196F639CEE8BBD2C146873841"
               "F0699E6C41F04FC7A54B48CEB995BEB6F50FE81DE9D87A8D7F849CC523553"
               "7B7BBBC1C7CAAFF6E9650BE03B308C6D31012AEF9580F70D3EE2083ADE126"
               "8940FA7D6308E239775DFD2F8C97FF7EBD525DAFA6512216F7047A62A93DC"
               "38A0165BDC67E250DCC96A0181DE935A70B38704DC71819F02FC5261FF7E1"
               "E5F11907678B0A3E519FF4C10A867B0C26CE02BE6960BA8621A87303C101C"
               "3F88798BB9F7739655946F8B5744E6B1EAF10B0C5621330F0079209033C69"
               "20DE2E2C8D324F0624463735D482BF291926C22A910F5B80FA25170B6B57D"
               "8D5928C7BCA3FE87461275F69BD5A1B83181DAAF43E05FC3C72C4E93111B6"
               "6205EBF49B28FEDFB7E7526CBDA658A332000000000000000000000000000"
               "0000000000000000000000000000000000000000000000000000000000000"
               "0000000000000000000000000000000000000",
               buffer));
1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026
}


TEST(DivideModuloIntBignum) {
  char buffer[kBufferSize];
  Bignum bignum;
  Bignum other;
  Bignum third;

  bignum.AssignUInt16(10);
  other.AssignUInt16(2);
  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1027
  CHECK_EQ(0, strcmp("0", buffer));
1028 1029 1030 1031 1032 1033

  bignum.AssignUInt16(10);
  bignum.ShiftLeft(500);
  other.AssignUInt16(2);
  other.ShiftLeft(500);
  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
1034
  CHECK_EQ(0, strcmp("0", buffer));
1035 1036 1037 1038 1039

  bignum.AssignUInt16(11);
  other.AssignUInt16(2);
  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1040
  CHECK_EQ(0, strcmp("1", buffer));
1041 1042 1043 1044 1045 1046 1047 1048 1049

  bignum.AssignUInt16(10);
  bignum.ShiftLeft(500);
  other.AssignUInt16(1);
  bignum.AddBignum(other);
  other.AssignUInt16(2);
  other.ShiftLeft(500);
  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1050
  CHECK_EQ(0, strcmp("1", buffer));
1051 1052 1053 1054 1055 1056 1057 1058 1059

  bignum.AssignUInt16(10);
  bignum.ShiftLeft(500);
  other.AssignBignum(bignum);
  bignum.MultiplyByUInt32(0x1234);
  third.AssignUInt16(0xFFF);
  bignum.AddBignum(third);
  CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1060
  CHECK_EQ(0, strcmp("FFF", buffer));
1061 1062 1063 1064 1065

  bignum.AssignUInt16(10);
  AssignHexString(&other, "1234567890");
  CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1066
  CHECK_EQ(0, strcmp("A", buffer));
1067 1068 1069 1070 1071

  AssignHexString(&bignum, "12345678");
  AssignHexString(&other, "3789012");
  CHECK_EQ(5, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1072
  CHECK_EQ(0, strcmp("D9861E", buffer));
1073 1074 1075 1076 1077

  AssignHexString(&bignum, "70000001");
  AssignHexString(&other, "1FFFFFFF");
  CHECK_EQ(3, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1078
  CHECK_EQ(0, strcmp("10000004", buffer));
1079 1080 1081 1082 1083

  AssignHexString(&bignum, "28000000");
  AssignHexString(&other, "12A05F20");
  CHECK_EQ(2, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1084
  CHECK_EQ(0, strcmp("2BF41C0", buffer));
1085 1086 1087 1088 1089 1090 1091 1092 1093

  bignum.AssignUInt16(10);
  bignum.ShiftLeft(500);
  other.AssignBignum(bignum);
  bignum.MultiplyByUInt32(0x1234);
  third.AssignUInt16(0xFFF);
  other.SubtractBignum(third);
  CHECK_EQ(0x1234, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1094
  CHECK_EQ(0, strcmp("1232DCC", buffer));
1095 1096
  CHECK_EQ(0, bignum.DivideModuloIntBignum(other));
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1097
  CHECK_EQ(0, strcmp("1232DCC", buffer));
1098 1099 1100 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152 1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168 1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184 1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200 1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216 1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296 1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312 1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328 1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344 1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360 1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376 1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392 1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403
}


TEST(Compare) {
  Bignum bignum1;
  Bignum bignum2;
  bignum1.AssignUInt16(1);
  bignum2.AssignUInt16(1);
  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
  CHECK(Bignum::Equal(bignum1, bignum2));
  CHECK(Bignum::LessEqual(bignum1, bignum2));
  CHECK(!Bignum::Less(bignum1, bignum2));

  bignum1.AssignUInt16(0);
  bignum2.AssignUInt16(1);
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
  CHECK(!Bignum::Equal(bignum1, bignum2));
  CHECK(!Bignum::Equal(bignum2, bignum1));
  CHECK(Bignum::LessEqual(bignum1, bignum2));
  CHECK(!Bignum::LessEqual(bignum2, bignum1));
  CHECK(Bignum::Less(bignum1, bignum2));
  CHECK(!Bignum::Less(bignum2, bignum1));

  AssignHexString(&bignum1, "1234567890ABCDEF12345");
  AssignHexString(&bignum2, "1234567890ABCDEF12345");
  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));

  AssignHexString(&bignum1, "1234567890ABCDEF12345");
  AssignHexString(&bignum2, "1234567890ABCDEF12346");
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));

  AssignHexString(&bignum1, "1234567890ABCDEF12345");
  bignum1.ShiftLeft(500);
  AssignHexString(&bignum2, "1234567890ABCDEF12345");
  bignum2.ShiftLeft(500);
  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));

  AssignHexString(&bignum1, "1234567890ABCDEF12345");
  bignum1.ShiftLeft(500);
  AssignHexString(&bignum2, "1234567890ABCDEF12346");
  bignum2.ShiftLeft(500);
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));

  bignum1.AssignUInt16(1);
  bignum1.ShiftLeft(64);
  AssignHexString(&bignum2, "10000000000000000");
  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));

  bignum1.AssignUInt16(1);
  bignum1.ShiftLeft(64);
  AssignHexString(&bignum2, "10000000000000001");
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));

  bignum1.AssignUInt16(1);
  bignum1.ShiftLeft(96);
  AssignHexString(&bignum2, "10000000000000001");
  bignum2.ShiftLeft(32);
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));

  AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
  bignum2.AssignUInt16(1);
  bignum2.ShiftLeft(64);
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));

  AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
  bignum1.ShiftLeft(32);
  bignum2.AssignUInt16(1);
  bignum2.ShiftLeft(96);
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));

  AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
  bignum1.ShiftLeft(32);
  bignum2.AssignUInt16(1);
  bignum2.ShiftLeft(95);
  CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));

  AssignHexString(&bignum1, "FFFFFFFFFFFFFFFF");
  bignum1.ShiftLeft(32);
  bignum2.AssignUInt16(1);
  bignum2.ShiftLeft(100);
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));

  AssignHexString(&bignum1, "100000000000000");
  bignum2.AssignUInt16(1);
  bignum2.ShiftLeft(14*4);
  CHECK_EQ(0, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(0, Bignum::Compare(bignum2, bignum1));

  AssignHexString(&bignum1, "100000000000001");
  bignum2.AssignUInt16(1);
  bignum2.ShiftLeft(14*4);
  CHECK_EQ(+1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(-1, Bignum::Compare(bignum2, bignum1));

  AssignHexString(&bignum1, "200000000000000");
  bignum2.AssignUInt16(3);
  bignum2.ShiftLeft(14*4);
  CHECK_EQ(-1, Bignum::Compare(bignum1, bignum2));
  CHECK_EQ(+1, Bignum::Compare(bignum2, bignum1));
}


TEST(PlusCompare) {
  Bignum a;
  Bignum b;
  Bignum c;
  a.AssignUInt16(1);
  b.AssignUInt16(0);
  c.AssignUInt16(1);
  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));
  CHECK(Bignum::PlusEqual(a, b, c));
  CHECK(Bignum::PlusLessEqual(a, b, c));
  CHECK(!Bignum::PlusLess(a, b, c));

  a.AssignUInt16(0);
  b.AssignUInt16(0);
  c.AssignUInt16(1);
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));
  CHECK_EQ(+1, Bignum::PlusCompare(c, b, a));
  CHECK(!Bignum::PlusEqual(a, b, c));
  CHECK(!Bignum::PlusEqual(c, b, a));
  CHECK(Bignum::PlusLessEqual(a, b, c));
  CHECK(!Bignum::PlusLessEqual(c, b, a));
  CHECK(Bignum::PlusLess(a, b, c));
  CHECK(!Bignum::PlusLess(c, b, a));

  AssignHexString(&a, "1234567890ABCDEF12345");
  b.AssignUInt16(1);
  AssignHexString(&c, "1234567890ABCDEF12345");
  CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890ABCDEF12344");
  b.AssignUInt16(1);
  AssignHexString(&c, "1234567890ABCDEF12345");
  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4);
  AssignHexString(&b, "ABCDEF12345");
  AssignHexString(&c, "1234567890ABCDEF12345");
  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4);
  AssignHexString(&b, "ABCDEF12344");
  AssignHexString(&c, "1234567890ABCDEF12345");
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4);
  AssignHexString(&b, "ABCDEF12346");
  AssignHexString(&c, "1234567890ABCDEF12345");
  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567891");
  a.ShiftLeft(11*4);
  AssignHexString(&b, "ABCDEF12345");
  AssignHexString(&c, "1234567890ABCDEF12345");
  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567889");
  a.ShiftLeft(11*4);
  AssignHexString(&b, "ABCDEF12345");
  AssignHexString(&c, "1234567890ABCDEF12345");
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF12345");
  c.ShiftLeft(32);
  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12344");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF12345");
  c.ShiftLeft(32);
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12346");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF12345");
  c.ShiftLeft(32);
  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567891");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF12345");
  c.ShiftLeft(32);
  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567889");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF12345");
  c.ShiftLeft(32);
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF1234500000000");
  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12344");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF1234500000000");
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12346");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF1234500000000");
  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567891");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF1234500000000");
  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567889");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  b.ShiftLeft(32);
  AssignHexString(&c, "1234567890ABCDEF1234500000000");
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  AssignHexString(&c, "123456789000000000ABCDEF12345");
  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12346");
  AssignHexString(&c, "123456789000000000ABCDEF12345");
  CHECK_EQ(1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12344");
  AssignHexString(&c, "123456789000000000ABCDEF12345");
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  b.ShiftLeft(16);
  AssignHexString(&c, "12345678900000ABCDEF123450000");
  CHECK_EQ(0, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12344");
  b.ShiftLeft(16);
  AssignHexString(&c, "12345678900000ABCDEF123450000");
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12345");
  b.ShiftLeft(16);
  AssignHexString(&c, "12345678900000ABCDEF123450001");
  CHECK_EQ(-1, Bignum::PlusCompare(a, b, c));

  AssignHexString(&a, "1234567890");
  a.ShiftLeft(11*4 + 32);
  AssignHexString(&b, "ABCDEF12346");
  b.ShiftLeft(16);
  AssignHexString(&c, "12345678900000ABCDEF123450000");
  CHECK_EQ(+1, Bignum::PlusCompare(a, b, c));
}


TEST(Square) {
  Bignum bignum;
  char buffer[kBufferSize];

  bignum.AssignUInt16(1);
  bignum.Square();
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1404
  CHECK_EQ(0, strcmp("1", buffer));
1405 1406 1407 1408

  bignum.AssignUInt16(2);
  bignum.Square();
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1409
  CHECK_EQ(0, strcmp("4", buffer));
1410 1411 1412 1413

  bignum.AssignUInt16(10);
  bignum.Square();
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1414
  CHECK_EQ(0, strcmp("64", buffer));
1415 1416 1417 1418

  AssignHexString(&bignum, "FFFFFFF");
  bignum.Square();
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1419
  CHECK_EQ(0, strcmp("FFFFFFE0000001", buffer));
1420 1421 1422 1423

  AssignHexString(&bignum, "FFFFFFFFFFFFFF");
  bignum.Square();
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1424
  CHECK_EQ(0, strcmp("FFFFFFFFFFFFFE00000000000001", buffer));
1425 1426 1427 1428 1429 1430 1431 1432 1433
}


TEST(AssignPowerUInt16) {
  Bignum bignum;
  char buffer[kBufferSize];

  bignum.AssignPowerUInt16(1, 0);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1434
  CHECK_EQ(0, strcmp("1", buffer));
1435 1436 1437

  bignum.AssignPowerUInt16(1, 1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1438
  CHECK_EQ(0, strcmp("1", buffer));
1439 1440 1441

  bignum.AssignPowerUInt16(1, 2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1442
  CHECK_EQ(0, strcmp("1", buffer));
1443 1444 1445

  bignum.AssignPowerUInt16(2, 0);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1446
  CHECK_EQ(0, strcmp("1", buffer));
1447 1448 1449

  bignum.AssignPowerUInt16(2, 1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1450
  CHECK_EQ(0, strcmp("2", buffer));
1451 1452 1453

  bignum.AssignPowerUInt16(2, 2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1454
  CHECK_EQ(0, strcmp("4", buffer));
1455 1456 1457

  bignum.AssignPowerUInt16(16, 1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1458
  CHECK_EQ(0, strcmp("10", buffer));
1459 1460 1461

  bignum.AssignPowerUInt16(16, 2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1462
  CHECK_EQ(0, strcmp("100", buffer));
1463 1464 1465

  bignum.AssignPowerUInt16(16, 5);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1466
  CHECK_EQ(0, strcmp("100000", buffer));
1467 1468 1469

  bignum.AssignPowerUInt16(16, 8);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1470
  CHECK_EQ(0, strcmp("100000000", buffer));
1471 1472 1473

  bignum.AssignPowerUInt16(16, 16);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1474
  CHECK_EQ(0, strcmp("10000000000000000", buffer));
1475 1476 1477

  bignum.AssignPowerUInt16(16, 30);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1478
  CHECK_EQ(0, strcmp("1000000000000000000000000000000", buffer));
1479 1480 1481

  bignum.AssignPowerUInt16(10, 0);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1482
  CHECK_EQ(0, strcmp("1", buffer));
1483 1484 1485

  bignum.AssignPowerUInt16(10, 1);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1486
  CHECK_EQ(0, strcmp("A", buffer));
1487 1488 1489

  bignum.AssignPowerUInt16(10, 2);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1490
  CHECK_EQ(0, strcmp("64", buffer));
1491 1492 1493

  bignum.AssignPowerUInt16(10, 5);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1494
  CHECK_EQ(0, strcmp("186A0", buffer));
1495 1496 1497

  bignum.AssignPowerUInt16(10, 8);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1498
  CHECK_EQ(0, strcmp("5F5E100", buffer));
1499 1500 1501

  bignum.AssignPowerUInt16(10, 16);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1502
  CHECK_EQ(0, strcmp("2386F26FC10000", buffer));
1503 1504 1505

  bignum.AssignPowerUInt16(10, 30);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1506
  CHECK_EQ(0, strcmp("C9F2C9CD04674EDEA40000000", buffer));
1507 1508 1509

  bignum.AssignPowerUInt16(10, 31);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1510
  CHECK_EQ(0, strcmp("7E37BE2022C0914B2680000000", buffer));
1511 1512 1513

  bignum.AssignPowerUInt16(2, 0);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1514
  CHECK_EQ(0, strcmp("1", buffer));
1515 1516 1517

  bignum.AssignPowerUInt16(2, 100);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1518
  CHECK_EQ(0, strcmp("10000000000000000000000000", buffer));
1519 1520 1521

  bignum.AssignPowerUInt16(17, 0);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1522
  CHECK_EQ(0, strcmp("1", buffer));
1523 1524 1525

  bignum.AssignPowerUInt16(17, 99);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1526 1527 1528 1529
  CHECK_EQ(0, strcmp(
                  "1942BB9853FAD924A3D4DD92B89B940E0207BEF05DB9C26BC1B757"
                  "80BE0C5A2C2990E02A681224F34ED68558CE4C6E33760931",
                  buffer));
1530 1531 1532

  bignum.AssignPowerUInt16(0xFFFF, 99);
  CHECK(bignum.ToHexString(buffer, kBufferSize));
1533 1534 1535 1536 1537 1538 1539 1540 1541
  CHECK_EQ(0, strcmp(
                  "FF9D12F09B886C54E77E7439C7D2DED2D34F669654C0C2B6B8C288250"
                  "5A2211D0E3DC9A61831349EAE674B11D56E3049D7BD79DAAD6C9FA2BA"
                  "528E3A794299F2EE9146A324DAFE3E88967A0358233B543E233E575B9"
                  "DD4E3AA7942146426C328FF55BFD5C45E0901B1629260AF9AE2F310C5"
                  "50959FAF305C30116D537D80CF6EBDBC15C5694062AF1AC3D956D0A41"
                  "B7E1B79FF11E21D83387A1CE1F5882B31E4B5D8DE415BDBE6854466DF"
                  "343362267A7E8833119D31D02E18DB5B0E8F6A64B0ED0D0062FFFF",
                  buffer));
1542
}