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#pragma once

#include <cute/config.hpp>
#include <cute/numeric/integral_constant.hpp>

#include <cuda_runtime.h>

namespace cutlass::fmha {

struct Pow2 {                                                                   
  int n;                                                                        
  int log2_n;                                                                   
                                                                                
  explicit CUTE_DEVICE Pow2(int n) : n(n) {
#ifdef __CUDA_ARCH__
    log2_n = __ffs(n) - 1;
#endif
  }                    
                                                                                
  template<class T>  
  CUTE_HOST_DEVICE T operator *(T const& b) const {
    return n * b;
  }

  template<int N>
  CUTE_HOST_DEVICE auto operator *(Int<N> const&) const {
    if constexpr (N & (N - 1) == 0) {
      return Pow2{n * N};
    }
    return n * N;
  }

};                                                                              

template<class T>
CUTE_HOST_DEVICE auto operator/(T const& a, Pow2 const& b) {
  return a >> b.log2_n;
}

template<class T>
CUTE_HOST_DEVICE auto operator%(T const& a, Pow2 const& b) {
  return a & (b.n - 1);
}

template<class T>
CUTE_HOST_DEVICE bool operator<(T const& a, Pow2 const& b) {
  return a < b.n;
}

CUTE_HOST_DEVICE void print(Pow2 const& a) {
  printf("2^%d", a.log2_n);
}

} // end namespace cutlass::fmha

namespace cute {

template <>
struct is_integral<cutlass::fmha::Pow2> : true_type {};

} // end namespace cute