text: // This file is part of Eigen, a lightweight C++ template library
  // for linear algebra.
  //
  // Copyright (C) 2015 Benoit Steiner <benoit.steiner.goog@gmail.com>
  //
  // This Source Code Form is subject to the terms of the Mozilla
  // Public License v. 2.0. If a copy of the MPL was not distributed
  // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
  
  #include "main.h"
  
  #include <Eigen/CXX11/Tensor>
  
  
  #if EIGEN_COMP_MSVC
  #define EIGEN_NO_INT128
  #else
  typedef __uint128_t uint128_t;
  #endif
  
  // Only run the test on compilers that support 128bit integers natively
  #ifndef EIGEN_NO_INT128
  
  using Eigen::internal::TensorUInt128;
  using Eigen::internal::static_val;
  
  void VERIFY_EQUAL(TensorUInt128<uint64_t, uint64_t> actual, uint128_t expected) {
    bool matchl = actual.lower() == static_cast<uint64_t>(expected);
    bool matchh = actual.upper() == static_cast<uint64_t>(expected >> 64);
    if (!matchl || !matchh) {
      const char* testname = g_test_stack.back().c_str();
      std::cerr << "Test " << testname << " failed in " << __FILE__
                << " (" << __LINE__ << ")"
                << std::endl;
      abort();
    }
  }
  
  
  void test_add() {
    uint64_t incr = internal::random<uint64_t>(1, 9999999999);
    for (uint64_t i1 = 0; i1 < 100; ++i1) {
      for (uint64_t i2 = 1; i2 < 100 * incr; i2 += incr) {
        TensorUInt128<uint64_t, uint64_t> i(i1, i2);
        uint128_t a = (static_cast<uint128_t>(i1) << 64) + static_cast<uint128_t>(i2);
        for (uint64_t j1 = 0; j1 < 100; ++j1) {
          for (uint64_t j2 = 1; j2 < 100 * incr; j2 += incr) {
            TensorUInt128<uint64_t, uint64_t> j(j1, j2);
            uint128_t b = (static_cast<uint128_t>(j1) << 64) + static_cast<uint128_t>(j2);
            TensorUInt128<uint64_t, uint64_t> actual = i + j;
            uint128_t expected = a + b;
            VERIFY_EQUAL(actual, expected);
          }
        }
      }
    }
  }
  
  void test_sub() {
    uint64_t incr = internal::random<uint64_t>(1, 9999999999);
    for (uint64_t i1 = 0; i1 < 100; ++i1) {
      for (uint64_t i2 = 1; i2 < 100 * incr; i2 += incr) {
        TensorUInt128<uint64_t, uint64_t> i(i1, i2);
        uint128_t a = (static_cast<uint128_t>(i1) << 64) + static_cast<uint128_t>(i2);
        for (uint64_t j1 = 0; j1 < 100; ++j1) {
          for (uint64_t j2 = 1; j2 < 100 * incr; j2 += incr) {
            TensorUInt128<uint64_t, uint64_t> j(j1, j2);
            uint128_t b = (static_cast<uint128_t>(j1) << 64) + static_cast<uint128_t>(j2);
            TensorUInt128<uint64_t, uint64_t> actual = i - j;
            uint128_t expected = a - b;
            VERIFY_EQUAL(actual, expected);
          }
        }
      }
    }
  }
  
  void test_mul() {
    uint64_t incr = internal::random<uint64_t>(1, 9999999999);
    for (uint64_t i1 = 0; i1 < 100; ++i1) {
      for (uint64_t i2 = 1; i2 < 100 * incr; i2 += incr) {
        TensorUInt128<uint64_t, uint64_t> i(i1, i2);
        uint128_t a = (static_cast<uint128_t>(i1) << 64) + static_cast<uint128_t>(i2);
        for (uint64_t j1 = 0; j1 < 100; ++j1) {
          for (uint64_t j2 = 1; j2 < 100 * incr; j2 += incr) {
            TensorUInt128<uint64_t, uint64_t> j(j1, j2);
            uint128_t b = (static_cast<uint128_t>(j1) << 64) + static_cast<uint128_t>(j2);
            TensorUInt128<uint64_t, uint64_t> actual = i * j;
            uint128_t expected = a * b;
            VERIFY_EQUAL(actual, expected);
          }
        }
      }
    }
  }
  
  void test_div() {
    uint64_t incr = internal::random<uint64_t>(1, 9999999999);
    for (uint64_t i1 = 0; i1 < 100; ++i1) {
      for (uint64_t i2 = 1; i2 < 100 * incr; i2 += incr) {
        TensorUInt128<uint64_t, uint64_t> i(i1, i2);
        uint128_t a = (static_cast<uint128_t>(i1) << 64) + static_cast<uint128_t>(i2);
        for (uint64_t j1 = 0; j1 < 100; ++j1) {
          for (uint64_t j2 = 1; j2 < 100 * incr; j2 += incr) {
            TensorUInt128<uint64_t, uint64_t> j(j1, j2);
            uint128_t b = (static_cast<uint128_t>(j1) << 64) + static_cast<uint128_t>(j2);
            TensorUInt128<uint64_t, uint64_t> actual = i / j;
            uint128_t expected = a / b;
            VERIFY_EQUAL(actual, expected);
          }
        }
      }
    }
  }
  
  void test_misc1() {
    uint64_t incr = internal::random<uint64_t>(1, 9999999999);
    for (uint64_t i2 = 1; i2 < 100 * incr; i2 += incr) {
      TensorUInt128<static_val<0>, uint64_t> i(0, i2);
      uint128_t a = static_cast<uint128_t>(i2);
      for (uint64_t j2 = 1; j2 < 100 * incr; j2 += incr) {
        TensorUInt128<static_val<0>, uint64_t> j(0, j2);
        uint128_t b = static_cast<uint128_t>(j2);
        uint64_t actual = (i * j).upper();
        uint64_t expected = (a * b) >> 64;
        VERIFY_IS_EQUAL(actual, expected);
      }
    }
  }
  
  void test_misc2() {
    int64_t incr = internal::random<int64_t>(1, 100);
    for (int64_t log_div = 0; log_div < 63; ++log_div) {
      for (int64_t divider = 1; divider <= 1000000 * incr; divider += incr) {
        uint64_t expected = (static_cast<uint128_t>(1) << (64+log_div)) / static_cast<uint128_t>(divider) - (static_cast<uint128_t>(1) << 64) + 1;
        uint64_t shift = 1ULL << log_div;
  
        TensorUInt128<uint64_t, uint64_t> result = (TensorUInt128<uint64_t, static_val<0> >(shift, 0) / TensorUInt128<static_val<0>, uint64_t>(divider) - TensorUInt128<static_val<1>, static_val<0> >(1, 0) + TensorUInt128<static_val<0>, static_val<1> >(1));
        uint64_t actual = static_cast<uint64_t>(result);
        VERIFY_IS_EQUAL(actual, expected);
      }
    }
  }
  #endif
  
  
  void test_cxx11_tensor_uint128()
  {
  #ifdef EIGEN_NO_INT128
    // Skip the test on compilers that don't support 128bit integers natively
    return;
  #else
    CALL_SUBTEST_1(test_add());
    CALL_SUBTEST_2(test_sub());
    CALL_SUBTEST_3(test_mul());
    CALL_SUBTEST_4(test_div());
    CALL_SUBTEST_5(test_misc1());
    CALL_SUBTEST_6(test_misc2());
  #endif
  }
  