Using the syntax in C++/Cuda code
The expressions and variables presented in the common documentation all
correspond to specific C++ types of variables defined by the KeOps
library. The C++ keyword
auto allows us to define them without
having to worry about explicit type naming:
auto p = Pm(0,1); auto a = Vj(1,1); auto x = Vi(2,3); auto y = Vj(3,3); auto f = Square(p-y)*Exp(x+y);
f variable represents a symbolic computation; as a C++ object, it is completely useless.
The list of available operations to build a formula is given in the following table: Math operators.
Next we define the type of reduction that we want to perform, as follows:
auto Sum_f = Sum_Reduction(f,0);
This means that we want to perform a sum reduction over the “j” indices, resulting in an “i”-indexed output.
We would use
Sum_Reduction(f,1) for a reduction over the “i” indices.
The list of available reductions is given in the following table: Reductions. The code name of the reduction must be followed by
_Reduction in C++ code.
The convolution operation is then performed using one of these three calls:
EvalRed<CpuConv>(Sum_f,Nx, Ny, pres, params, px, py, pu, pv, pb); EvalRed<GpuConv1D_FromHost>(Sum_f,Nx, Ny, pres, params, px, py, pu, pv, pb); EvalRed<GpuConv2D_FromHost>(Sum_f,Nx, Ny, pres, params, px, py, pu, pv, pb);
py are pointers to their respective arrays in (Cpu) memory,
pc denoting the output. These three functions correspond to computations performed respectively on the Cpu, on the Gpu with a “1D” tiling algorithm, and with a “2D” tiling algorithm.
If data arrays are already located in the GPU memory, these functions should be favored:
EvalRed<GpuConv1D_FromDevice>(Sum_f,Nx, Ny, pres, params, px, py, pu, pv, pb); EvalRed<GpuConv2D_FromDevice>(Sum_f,Nx, Ny, pres, params, px, py, pu, pv, pb);