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Merge pull request #1 from josephleekl/main
Update eigen slides and exercise
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Rupert Nash | ||
Joseph Lee |
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import numpy as np | ||
import matplotlib.pyplot as plt | ||
from matplotlib.animation import FuncAnimation | ||
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n = 20 | ||
steps = 200 | ||
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fig, ax = plt.subplots() | ||
xdata = np.arange(0, n) | ||
ydata = [] | ||
ln, = ax.plot([], [], 'ro') | ||
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data = np.loadtxt("implicit_sim.txt") | ||
def init(): | ||
ax.set_xlim(0,n) | ||
ax.set_ylim(0,1.1) | ||
return ln, | ||
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def update(frame): | ||
ydata = data[frame] | ||
ln.set_data(xdata, ydata) | ||
return ln, | ||
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ani = FuncAnimation(fig, update, frames=np.arange(0, 200), | ||
init_func=init, blit=True) | ||
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plt.show() |
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#include <Eigen/Dense> | ||
#include <Eigen/Sparse> | ||
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#include <fstream> | ||
#include <iostream> | ||
#include <vector> | ||
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int main() | ||
{ | ||
int n = 10; | ||
int n = 20; | ||
int steps = 200; | ||
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Eigen::SparseMatrix<double> A; | ||
A.resize(n, n); | ||
Eigen::SparseMatrix<double> A; | ||
A.resize(n, n); | ||
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double delta = 0.4; | ||
double delta = 0.4; | ||
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std::vector<Eigen::Triplet<double>> fill; | ||
fill.reserve(n * 4); | ||
std::vector<Eigen::Triplet<double>> fill; | ||
fill.reserve(n * 4); | ||
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for (int i = 0; i < n - 1; ++i) | ||
{ | ||
fill.push_back(Eigen::Triplet<double>(i + 1, i, delta)); | ||
fill.push_back(Eigen::Triplet<double>(i + 1, i + 1, -delta)); | ||
fill.push_back(Eigen::Triplet<double>(i, i, 1.0 - delta)); | ||
fill.push_back(Eigen::Triplet<double>(i, i + 1, delta)); | ||
} | ||
fill.push_back(Eigen::Triplet<double>(n - 1, n - 1, 1.0)); | ||
A.setFromTriplets(fill.begin(), fill.end()); | ||
for (int i = 0; i < n - 1; ++i) | ||
{ | ||
fill.push_back(Eigen::Triplet<double>(i + 1, i, delta)); | ||
fill.push_back(Eigen::Triplet<double>(i + 1, i + 1, -delta)); | ||
fill.push_back(Eigen::Triplet<double>(i, i, 1.0 - delta)); | ||
fill.push_back(Eigen::Triplet<double>(i, i + 1, delta)); | ||
} | ||
fill.push_back(Eigen::Triplet<double>(n - 1, n - 1, 1.0)); | ||
A.setFromTriplets(fill.begin(), fill.end()); | ||
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std::cout << A << std::endl; | ||
std::cout << A << std::endl; | ||
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Eigen::VectorXd b(n); | ||
b.head(n / 2).array() = 1.0; | ||
b.tail(n / 2).array() = 0.0; | ||
Eigen::VectorXd b(n); | ||
b.head(n / 2).array() = 1.0; | ||
b.tail(n / 2).array() = 0.0; | ||
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std::cout << b.transpose() << std::endl; | ||
std::cout << b.transpose() << std::endl; | ||
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for (int i = 0; i < 100; ++i) | ||
b = A * b; | ||
std::ofstream f; | ||
f.open("sparse_sim.txt"); | ||
for (int i = 0; i < steps; ++i) | ||
{ | ||
f << b.transpose() << std::endl; | ||
b = A * b; | ||
} | ||
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std::cout << b.transpose() << std::endl; | ||
std::cout << b.transpose() << std::endl; | ||
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return 0; | ||
} | ||
return 0; | ||
} |
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