Using cuda texture memory for 1D interpolation

I’m trying to use texture memory to solve an interpolation problem, hopefully in a faster way than using global memory. Being the very first time for me to use texture memory, I’m oversimplifying my interpolation problem to a linear interpolation one. So, I’m already aware there are smarter and faster ways to make linear interpolation than the one reported below.
Here is the file Kernels_Interpolation.cuh. The device function linear_kernel_GPU is omitted for simplicity, but is correct.

texture<cuFloatComplex,1> data_d_texture;

__global__ void linear_interpolation_kernel_function_GPU_texture(cuComplex* result_d, float* x_in_d, float* x_out_d, int M, int N)
{    
    int j = threadIdx.x + blockDim.x * blockIdx.x;

    cuComplex datum;

    if(j<N)
    {
        result_d[j] = make_cuComplex(0.,0.);
        for(int k=0; k<M; k++)
	{
           datum = tex1Dfetch(data_d_texture,k);
           if (fabs(x_out_d[j]-x_in_d[k])<1.) result_d[j] = cuCaddf(result_d[j],cuCmulf(make_cuComplex(linear_kernel_GPU(x_out_d[j]-x_in_d[k]),0.),datum));
	}  
    } 
}

Here is the Kernels_Interpolation.cu function

extern "C" void linear_interpolation_function_GPU_texture(cuComplex* result_d, cuComplex* data_d, float* x_in_d, float* x_out_d, int M, int N){

    cudaBindTexture(NULL, data_d_texture, data_d, M);

    dim3 dimBlock(BLOCK_SIZE,1); dim3 dimGrid(N/BLOCK_SIZE + (N%BLOCK_SIZE == 0 ? 0:1),1);
    linear_interpolation_kernel_function_GPU_texture<<<dimGrid,dimBlock>>>(result_d, x_in_d, x_out_d, M, N);
}

Finally, in the main program, the data_d array is allocated and initialized as follows

cuComplex* data_d;		cudaMalloc((void**)&data_d,sizeof(cuComplex)*M);
cudaMemcpy(data_d,data,sizeof(cuComplex)*M,cudaMemcpyHostToDevice);

The result_d array has length N.

The strange thing is that the output is correctly computed only on the first 16 locations, although N>16, the others being 0s e.g.

result.r[0] 0.563585 result.i[0] 0.001251 
result.r[1] 0.481203 result.i[1] 0.584259
result.r[2] 0.746924 result.i[2] 0.820994
result.r[3] 0.510477 result.i[3] 0.708008
result.r[4] 0.362980 result.i[4] 0.091818
result.r[5] 0.443626 result.i[5] 0.984452
result.r[6] 0.378992 result.i[6] 0.011919
result.r[7] 0.607517 result.i[7] 0.599023
result.r[8] 0.353575 result.i[8] 0.448551
result.r[9] 0.798026 result.i[9] 0.780909
result.r[10] 0.728561 result.i[10] 0.876729
result.r[11] 0.143276 result.i[11] 0.538575
result.r[12] 0.216170 result.i[12] 0.861384
result.r[13] 0.994566 result.i[13] 0.993541
result.r[14] 0.295192 result.i[14] 0.270596
result.r[15] 0.092388 result.i[15] 0.377816
result.r[16] 0.000000 result.i[16] 0.000000
result.r[17] 0.000000 result.i[17] 0.000000
result.r[18] 0.000000 result.i[18] 0.000000
result.r[19] 0.000000 result.i[19] 0.000000

The rest of the code is correct, namely, if I replace linear_interpolation_kernel_function_GPU_texture and linear_interpolation_function_GPU_texture with functions using global memory everything is fine.

I have verified that I can correctly access texture memory until a certain location (which depends on M and N), for example 64, after which it returns 0s.

I have the same problem if I replace the cuComplex texture to a float one (forcing the data to be real).

Any ideas?

That was solved on