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create and provide basic function of BTCS2D
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src/diffusion.cpp
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src/diffusion.cpp
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#include "diffusion.hpp"
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#include <Eigen/SparseLU>
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#include <Eigen/src/Core/Matrix.h>
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void BTCS2D(int x, int y, std::vector<double> &c, std::vector<double> &alpha,
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double timestep) {
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double dx = 1. / x;
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double dy = 1. / y;
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int size = x * y;
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Eigen::VectorXd d = Eigen::VectorXd::Constant(size, 0);
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std::vector<T> tripletList;
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tripletList.reserve(((x - 1) * (y - 1) * 5));
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for (int i = 1; i < y - 1; i++) {
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for (int j = 1; j < x - 1; j++) {
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double sx = (alpha[i * y + j] * timestep) / (dx * dx);
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double sy = (alpha[i * y + j] * timestep) / (dy * dy);
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tripletList.push_back(T((i * x) + j, (i * x) + j, (1 + 2 * sx + 2 * sy)));
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tripletList.push_back(T((i * x) + j, ((i * x) + j) + x, sy));
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tripletList.push_back(T((i * x) + j, ((i * x) + j) - x, sy));
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tripletList.push_back(T((i * x) + j, ((i * x) + j) + 1, sx));
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tripletList.push_back(T((i * x) + j, ((i * x) + j) - 1, sx));
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}
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}
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}
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src/diffusion.hpp
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src/diffusion.hpp
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#ifndef DIFFUSION_H_
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#define DIFFUSION_H_
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#include <Eigen/SparseCore>
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#include <vector>
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typedef Eigen::Triplet<double> T;
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extern void BTCS2D(int x, int y, std::vector<double> &c, double alpha,
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double timestep);
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#endif // DIFFUSION_H_
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