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1 template<typename Tx>    
2 __device__ Tx Aver(Tx z,int i,int j, Tx *z) 
3          { return (z-z[j+1])/(j-i+1); }
4
5 template<typename Tx>
6 __global__ void monotonizekernel(Tx *y, Tx *z, Tx *u, int *key, int n)  
7
8    int i = threadIdx.x + blockIdx.x * blockDim.x;
9    if(i<n) {
10       int smallestJ = i;
11       Tx curP, smallestP, curz=z[i];
12       smallestP=Aver(curz,i,i,z);
13       for(int j = i+1; j < n; j++) {
14           curP=Aver(curz,i,j,z);
15           if(smallestP>curP) {
16                smallestJ = j;
17                smallestP = curP;
18           }     
19       }
20       curP=y[i];
21       if(curP > smallestP) 
22         t=smallestP;
23       else 
24                                 smallestJ=i;
25       key[i]=smallestJ;
26       u[i]=t;
27    }
28 }
29
30 template< typename Tx >
31 void MonotonizeData(Tx *y, int n, Tx *u) 
32 {
33     thrust::less_equal<int> binary_pred;
34     thrust::maximum<Tx>     binary_op2;
35     thrust::device_vector<Tx> z_d(n+1);
36     thrust::device_vector<int> keys_d(n);       
37     thrust::device_ptr<Tx> y_d(y), u_d(u);
38     thrust::fill(u_d, u_d+n, -1e100);
39     thrust::fill(keys_d.begin(), keys_d.end(), 0);
40
41     thrust::reverse_iterator< typename thrust::device_vector<Tx>::iterator>  y_reverse_b(y_d+n), y_reverse_end(y_d), z_reverse_b(z_d.end());
42         
43     thrust::inclusive_scan(y_reverse_b,y_reverse_end,z_reverse_b+1);
44
45     monotonizekernel<<<grid, block>>>(y, thrust::raw_pointer_cast(&z_d[0]), u, thrust::raw_pointer_cast(&keys_d[0]), n );
46
47     thrust::sort(keys_d.begin(), keys_d.end());
48     thrust::inclusive_scan_by_key(keys_d.begin(), keys_d.end(), u_d, u_d, binary_pred, binary_op2);
49 }