// ----------------------------------------------------------------------------
// -                        Open3D: www.open3d.org                            -
// ----------------------------------------------------------------------------
// The MIT License (MIT)
//
// Copyright (c) 2018-2021 www.open3d.org
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
// IN THE SOFTWARE.
// ----------------------------------------------------------------------------
// MIT License
//
// Copyright (c) Facebook, Inc. and its affiliates.
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.
// ----------------------------------------------------------------------------
// original path: faiss/faiss/gpu/utils/StaticUtils.cuh
// ----------------------------------------------------------------------------

#pragma once

#include <cuda.h>

// allow usage for non-CUDA files
#ifndef __host__
#define __host__
#define __device__
#endif

namespace open3d {
namespace core {

template <typename U, typename V>
constexpr __host__ __device__ auto divDown(U a, V b) -> decltype(a + b) {
    return (a / b);
}

template <typename U, typename V>
constexpr __host__ __device__ auto divUp(U a, V b) -> decltype(a + b) {
    return (a + b - 1) / b;
}

template <typename U, typename V>
constexpr __host__ __device__ auto roundDown(U a, V b) -> decltype(a + b) {
    return divDown(a, b) * b;
}

template <typename U, typename V>
constexpr __host__ __device__ auto roundUp(U a, V b) -> decltype(a + b) {
    return divUp(a, b) * b;
}

template <class T>
constexpr __host__ __device__ T pow(T n, T power) {
    return (power > 0 ? n * pow(n, power - 1) : 1);
}

template <class T>
constexpr __host__ __device__ T pow2(T n) {
    return pow(2, (T)n);
}

static_assert(pow2(8) == 256, "pow2");

template <typename T>
constexpr __host__ __device__ int log2(T n, int p = 0) {
    return (n <= 1) ? p : log2(n / 2, p + 1);
}

static_assert(log2(2) == 1, "log2");
static_assert(log2(3) == 1, "log2");
static_assert(log2(4) == 2, "log2");

template <typename T>
constexpr __host__ __device__ bool isPowerOf2(T v) {
    return (v && !(v & (v - 1)));
}

static_assert(isPowerOf2(2048), "isPowerOf2");
static_assert(!isPowerOf2(3333), "isPowerOf2");

template <typename T>
constexpr __host__ __device__ T nextHighestPowerOf2(T v) {
    return (isPowerOf2(v) ? (T)2 * v : ((T)1 << (log2(v) + 1)));
}

static_assert(nextHighestPowerOf2(1) == 2, "nextHighestPowerOf2");
static_assert(nextHighestPowerOf2(2) == 4, "nextHighestPowerOf2");
static_assert(nextHighestPowerOf2(3) == 4, "nextHighestPowerOf2");
static_assert(nextHighestPowerOf2(4) == 8, "nextHighestPowerOf2");

static_assert(nextHighestPowerOf2(15) == 16, "nextHighestPowerOf2");
static_assert(nextHighestPowerOf2(16) == 32, "nextHighestPowerOf2");
static_assert(nextHighestPowerOf2(17) == 32, "nextHighestPowerOf2");

static_assert(nextHighestPowerOf2(1536000000u) == 2147483648u,
              "nextHighestPowerOf2");
static_assert(nextHighestPowerOf2((size_t)2147483648ULL) ==
                      (size_t)4294967296ULL,
              "nextHighestPowerOf2");

}  // namespace core
}  // namespace open3d
