//------------------------------------------------------------------------------
// AxB_dot3_phase3_mp.cu 
//------------------------------------------------------------------------------

// This CUDA kernel produces the semi-ring product of two
// sparse matrices of types T_A and T_B and common index space size n, to a  
// output matrix of type T_C. The matrices are sparse, with different numbers
// of non-zeros and different sparsity patterns. 
// ie. we want to produce C = A'*B in the sense of the given semi-ring.

// This version uses a merge-path algorithm, when the sizes nnzA and nnzB are 
// relatively close in size, neither is very sparse nor dense, for any size of N.
// Handles arbitrary sparsity patterns with guaranteed load balance.

// Both the grid and block are 1D, so blockDim.x is the # threads in a
// threadblock, and the # of threadblocks is grid.x

// Let b = blockIdx.x, and let s be blockDim.x. s= 32 with a variable number
// of active threads = min( min(g_xnz, g_ynz), 32) 

// Thus, threadblock b owns a part of the index set spanned by g_xi and g_yi.  Its job
// is to find the intersection of the index sets g_xi and g_yi, perform the semi-ring dot
// product on those items in the intersection, and finally reduce this data to a scalar, 
// on exit write it to g_odata [b].

//  int64_t start          <- start of vector pairs for this kernel
//  int64_t end            <- end of vector pairs for this kernel
//  int64_t *Bucket        <- array of pair indices for all kernels 
//  matrix<T_C> *C         <- result matrix 
//  matrix<T_M> *M         <- mask matrix
//  matrix<T_A> *A         <- input matrix A
//  matrix<T_B> *B         <- input matrix B

#pragma once

#include <limits>
#include <cstdint>
#include <cooperative_groups.h>
#include "GB_cuda_kernel.h"
#include "GB_mxm_shared_definitions.h"
#include "GB_cuda_atomics.cuh"
#include "GB_hash.h"
#include "GB_hyper_hash_lookup.h"
#include "GB_cuda_dot3_defn.h"

// Using tile size fixed at compile time, we don't need shared memory
#define tile_sz 32 

using namespace cooperative_groups;

//------------------------------------------------------------------------------
// GB_reduce_sum
//------------------------------------------------------------------------------

template< typename T_Z, int warp_sz>
__device__ __inline__ 
T_Z GB_reduce_sum(thread_block_tile<warp_sz> g, T_Z val)
{
    // Each iteration halves the number of active threads
    // Each thread adds its partial sum[i] to sum[lane+i]
    // Temporary T_Z is necessary to handle arbirary ops
    // FIXME: only works if sizeof(T_Z) <= 32 bytes
    // FIXME: the ANY monoid needs the cij_exists for each thread
    #pragma unroll
    for (int i = warp_sz >> 1; i > 0; i >>= 1)
    {
        T_Z next = g.shfl_down( val, i);
        GB_ADD( val, val, next ); 
    }
    return val;
}

//------------------------------------------------------------------------------
// AxB_dot3_phase3_mp
//------------------------------------------------------------------------------

template<
    typename T_C, typename T_A, typename T_B,
    typename T_Z, typename T_X, typename T_Y,
    uint64_t srcode>
__global__ void AxB_dot3_phase3_mp
(
    int64_t start,
    int64_t end,
    int64_t *Bucket,    // do the work in Bucket [start:end-1]
    GrB_Matrix C,
    GrB_Matrix M,
    GrB_Matrix A,
    GrB_Matrix B,
    int sz
)
{

    // TODO: Figure out how to use graphblas-specific INFINITY macro
    #ifndef INFINITY
    #define INFINITY std::numeric_limits<T_C>::max()
    #endif

    const T_A *__restrict__ Ax = (T_A *)A->x  ;
    const T_B *__restrict__ Bx = (T_B *)B->x  ;
          T_C *__restrict__ Cx = (T_C *)C->x  ;
          int64_t *__restrict__ Ci = C->i ;
    const int64_t *__restrict__ Mi = M->i ;
    #if GB_M_IS_HYPER
    const int64_t *__restrict__ Mh = M->h ;
    #endif

    // A and B are either sparse or hypersparse
    const int64_t *__restrict__ Ai = A->i ;
    const int64_t *__restrict__ Bi = B->i ;
    const int64_t *__restrict__ Ap = A->p ;
    const int64_t *__restrict__ Bp = B->p ;
    ASSERT (GB_A_IS_HYPER || GB_A_IS_SPARSE) ;
    ASSERT (GB_B_IS_HYPER || GB_B_IS_SPARSE) ;

    #if GB_A_IS_HYPER
    const int64_t *__restrict__ A_Yp = A->Y->p ;
    const int64_t *__restrict__ A_Yi = A->Y->i ;
    const int64_t *__restrict__ A_Yx = (int64_t *) A->Y->x ;
    const int64_t A_hash_bits = A->Y->vdim - 1 ;
    #endif

    #if GB_B_IS_HYPER
    const int64_t *__restrict__ B_Yp = B->Y->p ;
    const int64_t *__restrict__ B_Yi = B->Y->i ;
    const int64_t *__restrict__ B_Yx = (int64_t *) B->Y->x ;
    const int64_t B_hash_bits = B->Y->vdim - 1 ;
    #endif

    // zombie count
    int64_t zc = 0;

    int64_t pair_id;

    // set thread ID
    int tid_global = threadIdx.x+ blockDim.x* blockIdx.x;
    int tid = threadIdx.x;

    int b = blockIdx.x ;

    // total items to be inspected
    int64_t ainz = 0;
    int64_t bjnz = 0;

    thread_block_tile<tile_sz> tile = tiled_partition<tile_sz>( this_thread_block());
    int all_in_one = ( (end - start) == (M->p)[(M->nvec)] ) ;

    // Main loop over pairs 
    int64_t kk ;
    for (kk = start+ blockIdx.x; // warp per C(i,j)=A(:,i)'*B(:,j) dot product
         kk < end;  
         kk += gridDim.x )
    {

        pair_id = all_in_one ? kk : Bucket [kk] ;
        int64_t i = Mi[pair_id];
        int64_t k = Ci[pair_id] >> 4;

        // j = k or j = Mh [k] if C and M are hypersparse
        int64_t j = GBH_M (Mh, k) ;

        // find A(:,i)
        int64_t pA_start, pA_end ;
        #if GB_A_IS_HYPER
        GB_hyper_hash_lookup (Ap, A_Yp, A_Yi, A_Yx, A_hash_bits,
            i, &pA_start, &pA_end) ;
        #else
        pA_start = Ap[i] ;
        pA_end   = Ap[i+1] ;
        #endif

        ainz = pA_end - pA_start ;

        GB_DECLAREA (aki) ;
        GB_DECLAREB (bkj) ;
        GB_DECLARE_IDENTITY (cij) ;         // GB_Z_TYPE cij = identity

        int cij_exists = 0 ;       // FIXME: make a bool

        #define shared_vector_size 128 
        __shared__ int64_t Ai_s[shared_vector_size];
        int shared_steps_A = (ainz + shared_vector_size -1)/shared_vector_size;

        int64_t step_end = (shared_steps_A <= 1? ainz : shared_vector_size);
        for ( int64_t i = tid; i< step_end; i+= blockDim.x)
        {
            Ai_s[i] = Ai[ i + pA_start];
        }   
        this_thread_block().sync();
         

        // find B(:,j)
        int64_t pB_start, pB_end ;
        #if GB_B_IS_HYPER
        GB_hyper_hash_lookup (Bp, B_Yp, B_Yi, B_Yx, B_hash_bits,
           j, &pB_start, &pB_end) ;
        #else
        pB_start = Bp[j] ;
        pB_end   = Bp[j+1] ;
        #endif

        bjnz = pB_end - pB_start;          // bjnz
        int shared_steps_B = (bjnz + shared_vector_size -1)/shared_vector_size;
         
        __shared__ int64_t Bj_s[shared_vector_size];

        step_end = (shared_steps_B <= 1 ? bjnz : shared_vector_size);
        for ( int64_t i =tid; i< step_end; i+= blockDim.x)
        {
            Bj_s[i] = Bi[ i + pB_start];
        }   
        this_thread_block().sync();
     
  //if (threadIdx.x ==0 ) {
  //  printf("block %d  doing dot %lld  i,j= %lld,%lld\n", blockIdx.x, pair_id, i, j);
  //  printf("block %d  doing dot %lld  ainz,bjnz= %lld,%lld, A_steps=%d, B_steps=%d\n", 
  //          blockIdx.x, pair_id, ainz, bjnz, shared_steps_A, shared_steps_B);
  //}
  //this_thread_block().sync();
    
        //we want more than one intersection per thread
        while ( (shared_steps_A > 0) && (shared_steps_B > 0) )
        {
            int64_t awork = pA_end - pA_start;
            int64_t bwork = pB_end - pB_start;
            if ( shared_steps_A > 1) awork = shared_vector_size;  
            if ( shared_steps_B > 1) bwork = shared_vector_size;  
            int64_t nxy = awork + bwork;

            int work_per_thread = (nxy + blockDim.x -1)/blockDim.x;  // ceil Divide by 32 = blockDim.x 
            int diag     = GB_IMIN( work_per_thread*tid, nxy);
            int diag_end = GB_IMIN( diag + work_per_thread, nxy);
            //printf(" thd%d parts = %u wpt = %u diag, diag_end  = %u,%u\n",tid, blockDim.x, work_per_thread, diag, diag_end); 

            //if (1) //(threadIdx.x == 0)
            //{
            //    printf ("pair %ld tid%d work_per_thread %d nxy %ld parts %d diag %d diag_end %d Astep=%d, Bstep=%d\n",
            //        pair_id, threadIdx.x, work_per_thread, nxy, blockDim.x, diag, diag_end,shared_steps_A,shared_steps_B) ;
            //}
            //this_thread_block().sync();

            int x_min = GB_IMAX( (diag - bwork) , 0); //bwork takes place of bjnz
            int x_max = GB_IMIN( diag, awork);      //awork takes place of ainz

            while ( x_min < x_max)
            {
                //binary search for correct diag break
                int pivot = (x_min +x_max) >> 1;
                //printf("start search thd%u piv=%u xmin,xmax = %u,%u diag_end=%d\n", tid_global, pivot, x_min, x_max, diag_end);
                int64_t Apiv =  Ai_s[pivot] ;
                int64_t Bpiv = Bj_s[diag -pivot -1] ;

                // if ( Apiv < Bpiv ) {
                //    x_min = pivot +1;
                // }
                // else {
                //    x_max = pivot;
                // }
                x_min = (pivot + 1)* (Apiv < Bpiv)   + x_min * (1 - (Apiv < Bpiv));
                x_max = pivot * (1 - (Apiv < Bpiv))  + x_max * (Apiv < Bpiv);

            }
            //printf("start search thd%u xcoord= %u diag=%d, diag_end=%d\n", tid_global, x_min, diag, diag_end);

            int xcoord = x_min;
            int ycoord = diag -x_min -1;
            int64_t Atest = Ai_s[xcoord] ;
            int64_t Btest = Bj_s[ycoord] ;
            if ( (diag > 0) && (diag < nxy ) && (ycoord >= 0 ) && (Atest == Btest)) 
            { 
                diag--; //adjust for intersection incrementing both pointers 
            }
            // two start points are known now
            int tx_start = xcoord; // +pA_start;
            int ty_start = diag -xcoord; // +pB_start; 

            //if (x_start != y_start)
            //   printf("start thd%u  xs,ys = %i,%i\n", tid_global, x_start, y_start);

            x_min = GB_IMAX( (diag_end - bwork), 0); //bwork replace bjnz
            x_max = GB_IMIN( diag_end, awork);      //awork replace ainz

            while ( x_min < x_max) 
            {
                int pivot = (x_min +x_max) >> 1;
                int64_t Apiv = Ai_s[pivot] ;
                int64_t Bpiv = Bj_s[diag_end -pivot -1] ;

                //if ( Apiv < Bpiv ) {
                //   x_min = pivot +1;
                //}
                //else {
                //   x_max = pivot;
                //}
                x_min = (pivot + 1)* (Apiv < Bpiv)   + x_min * (1 - (Apiv < Bpiv));
                x_max = pivot * (1 - (Apiv < Bpiv))  + x_max * (Apiv < Bpiv);
            }
            //printf("end search thd%u x_coord = %u diag=%d, diag_end=%d\n", tid_global, x_min, diag, diag_end);
            xcoord = x_min;
            ycoord = diag_end -x_min -1;

            // two end points are known now
            int tx_end = xcoord; // +pA_start; 
            int ty_end = diag_end - xcoord; // + pB_start; 

            //merge-path dot product
            int64_t pA = tx_start;       // pA
            int64_t pB = ty_start;       // pB

            //if (1) // threadIdx.x == 0)
            //{
            //    printf ("%d tx_start %d\n", threadIdx.x, tx_start) ;
            //    printf ("%d tx_end   %d\n", threadIdx.x, tx_end  ) ;
            //    printf ("%d ty_start %d\n", threadIdx.x, ty_start) ;
            //    printf ("%d ty_end   %d\n", threadIdx.x, ty_end  ) ;
            //}
            //this_thread_block().sync();

            //    if(threadIdx.x == 0 ) {
            //        printf("blk%d, thd%d k=%d, l=%d, tx_start=%d, ty_start=%d, tx_end=%d, ty_end=%d\n",
            //      blockIdx.x, tid_global, k, l, tx_start, ty_start, tx_end, ty_end);
            //    }
            //  this_thread_block().sync();

            while ( pA < tx_end && pB < ty_end ) 
            {
                int64_t Aind = Ai_s[pA] ;
                int64_t Bind = Bj_s[pB] ;
                #if GB_IS_PLUS_PAIR_REAL_SEMIRING && GB_Z_IGNORE_OVERFLOW
                    cij += (Aind == Bind) ;
                #else
                    if (Aind == Bind)
                    {
                        // cij += aki + bkj
                        GB_DOT_MERGE (pA + pA_start, pB + pB_start) ;
                        // TODO check terminal condition, using tile.any
                    }
                #endif
                pA += (Aind <= Bind) ;
                pB += (Aind >= Bind) ;
            }
            GB_CIJ_EXIST_POSTCHECK ;

            this_thread_block().sync();

            if  (  (shared_steps_A >= 1) 
            && (shared_steps_B >= 1) 
            && ( Ai_s[awork-1] == Bj_s[bwork-1]) )
            {

                pA_start += shared_vector_size;
                shared_steps_A -= 1;
                if (shared_steps_A == 0) break;
                pB_start += shared_vector_size;
                shared_steps_B -= 1;
                if (shared_steps_B == 0) break;

                step_end = ( (pA_end - pA_start) < shared_vector_size ? (pA_end - pA_start) : shared_vector_size);
                for ( int64_t i = tid; i< step_end; i+= blockDim.x)
                {
                    Ai_s[i] = Ai[ i + pA_start];
                }   
                this_thread_block().sync();

                step_end = ( (pB_end - pB_start) < shared_vector_size ? (pB_end - pB_start) : shared_vector_size);
                for ( int64_t i = tid; i< step_end; i+= blockDim.x)
                {
                    Bj_s[i] = Bi[ i + pB_start];
                }   
                this_thread_block().sync();

            } 
            else if ( (shared_steps_A >= 1) && (Ai_s[awork-1] < Bj_s[bwork-1] ))
            {
                pA_start += shared_vector_size;
                shared_steps_A -= 1;
                if (shared_steps_A == 0) break;

                step_end= ( (pA_end - pA_start) < shared_vector_size ? (pA_end - pA_start) : shared_vector_size);
                for ( int64_t i = tid; i< step_end; i+= blockDim.x)
                {
                    Ai_s[i] = Ai[ i + pA_start];
                }   
                this_thread_block().sync();

            }
            else if ( (shared_steps_B >= 1) && (Bj_s[bwork-1] < Ai_s[awork-1]) )
            {
                pB_start += shared_vector_size;
                shared_steps_B -= 1;
                if (shared_steps_B == 0) break;

                step_end = ( (pB_end - pB_start) < shared_vector_size ? (pB_end - pB_start) : shared_vector_size);
                for ( int64_t i = tid; i< step_end; i+= blockDim.x)
                {
                    Bj_s[i] = Bi[ i + pB_start];
                }   
                this_thread_block().sync();
            }
        } // end while shared_steps A > 0 && shared_steps_B >0

        //tile.sync( ) ;

        //----------------------------------------------------------------------
        // reduce sum per-thread values to a single scalar, get OR of flag
        //----------------------------------------------------------------------

        /*
        if (tid == 0)
        {
            printf ("reduce %d : %d exists = %d\n", b,  cij, cij_exists) ;
        }
        __syncthreads();
        */

        // Do vote here for control.
        cij_exists = tile.any (cij_exists) ;
        tile.sync ( ) ;

        #if !GB_C_ISO
        if (cij_exists)
        {
            // FIXME: the ANY monoid needs the cij_exists for each thread
           cij = GB_reduce_sum<T_Z, tile_sz>( tile, cij );
        }
        #endif

        // write result for this block to global mem
        if (tid == 0)
        {
            if (cij_exists)
            {
                GB_PUTC (cij, Cx, pair_id) ;        // Cx [pair_id] = (T_C) cij
                Ci [pair_id] = i ;
            }
            else
            {
               // cij is a zombie
               zc++;
               Ci [pair_id] = GB_FLIP (i) ;
            }
        }
        //__syncthreads(); 
    }

    //--------------------------------------------------------------------------
    // sum up the global zombie count
    //--------------------------------------------------------------------------

    if( tid ==0 && zc > 0)
    {
        GB_cuda_atomic_add <uint64_t>( &(C->nzombies), (uint64_t) zc) ;
    }
}

