diff --git a/Sheet5/Ex5_Second_Attempt/userset.h b/Sheet5/Ex5_Second_Attempt/userset.h new file mode 100644 index 0000000..a734e1f --- /dev/null +++ b/Sheet5/Ex5_Second_Attempt/userset.h @@ -0,0 +1,44 @@ +#ifndef USERSET_FILE +#define USERSET_FILE +#include +/** + * User function: f(@p x,@p y) + * @param[in] x x-coordinate of discretization point + * @param[in] y y-coordinate of discretization point + * @return value for right hand side f(@p x,@p y) + */ +double FunctF(double const x, double const y); + +/** + * User function: u(@p x,@p y) + * @param[in] x x-coordinate of discretization point + * @param[in] y y-coordinate of discretization point + * @return value for solution vector u(@p x,@p y) + */ +double FunctU(double const x, double const y); + + +/** + * User function: f(@p x,@p y) = @f$ x^2 \sin(2.5\pi y)@f$. + * @param[in] x x-coordinate of discretization point + * @param[in] y y-coordinate of discretization point + * @return value f(@p x,@p y) + */ +inline double fNice(double const x, double const y) +{ + return x * x * std::sin(2.5 * 3.14159 * y); +} + +/** + * User function: f(@p x,@p y) = 0$. + * @param[in] x x-coordinate of discretization point + * @param[in] y y-coordinate of discretization point + * @return value 0 + */ +inline double f_zero(double const x, double const y) +//double f_zero(double const /*x*/, double const /*y*/) +{ + return 0.0 + 0.0*(x+y); +} + +#endif diff --git a/Sheet5/Ex5_Second_Attempt/uv.txt b/Sheet5/Ex5_Second_Attempt/uv.txt new file mode 100644 index 0000000..cf93cd3 --- /dev/null +++ b/Sheet5/Ex5_Second_Attempt/uv.txt @@ -0,0 +1,69043 @@ +17361 2 34320 3 +0 0 +1 0 +1 1 +0 1 +0.01 0 +0.02 0 +0.03 0 +0.04 0 +0.05 0 +0.06 0 +0.07 0 +0.08 0 +0.09 0 +0.1 0 +0.11 0 +0.12 0 +0.13 0 +0.14 0 +0.15 0 +0.16 0 +0.17 0 +0.18 0 +0.19 0 +0.2 0 +0.21 0 +0.22 0 +0.23 0 +0.24 0 +0.25 0 +0.26 0 +0.27 0 +0.28 0 +0.29 0 +0.3 0 +0.31 0 +0.32 0 +0.33 0 +0.34 0 +0.35 0 +0.36 0 +0.37 0 +0.38 0 +0.39 0 +0.4 0 +0.41 0 +0.42 0 +0.43 0 +0.44 0 +0.45 0 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+-0.00207332 +0.00151751 +0.000538079 +-0.00361939 +-0.00291346 +0.00101343 +-0.00381188 +0.000204241 +0.00122729 +-0.00279952 +5.27126e-05 diff --git a/Sheet5/Ex5_Second_Attempt/vdop.cpp b/Sheet5/Ex5_Second_Attempt/vdop.cpp new file mode 100644 index 0000000..55fac1a --- /dev/null +++ b/Sheet5/Ex5_Second_Attempt/vdop.cpp @@ -0,0 +1,84 @@ +#include "vdop.h" +#include // assert() +#include +#include +#include +using namespace std; + + +void vddiv(vector &x, vector const &y, + vector const &z) +{ + assert( x.size() == y.size() && y.size() == z.size() ); + size_t n = x.size(); + + for (size_t k = 0; k < n; ++k) + { + x[k] = y[k] / z[k]; + } + return; +} + +//****************************************************************************** + +void vdaxpy(std::vector &x, std::vector const &y, + double alpha, std::vector const &z ) +{ + assert( x.size() == y.size() && y.size() == z.size() ); + size_t n = x.size(); + + for (size_t k = 0; k < n; ++k) + { + x[k] = y[k] + alpha * z[k]; + } + return; +} +//****************************************************************************** + +double dscapr(std::vector const &x, std::vector const &y) +{ + assert( x.size() == y.size()); + size_t n = x.size(); + + double s = 0.0; + for (size_t k = 0; k < n; ++k) + { + s += x[k] * y[k]; + } + + return s; +} + +//****************************************************************************** +void DebugVector(vector const &v) +{ + cout << "\nVector (nnode = " << v.size() << ")\n"; + for (size_t j = 0; j < v.size(); ++j) + { + cout.setf(ios::right, ios::adjustfield); + cout << v[j] << " "; + } + cout << endl; + + return; +} +//****************************************************************************** +bool CompareVectors(std::vector const &x, int const n, double const y[], double const eps) +{ + bool bn = (static_cast(x.size()) == n); + if (!bn) + { + cout << "######### Error: " << "number of elements" << endl; + } + //bool bv = equal(x.cbegin(),x.cend(),y); + bool bv = equal(x.cbegin(), x.cend(), y, + [eps](double a, double b) -> bool + { return std::abs(a - b) < eps * (1.0 + 0.5 * (std::abs(a) + std::abs(a))); } + ); + if (!bv) + { + assert(static_cast(x.size()) == n); + cout << "######### Error: " << "values" << endl; + } + return bn && bv; +} diff --git a/Sheet5/Ex5_Second_Attempt/vdop.h b/Sheet5/Ex5_Second_Attempt/vdop.h new file mode 100644 index 0000000..b2d0adb --- /dev/null +++ b/Sheet5/Ex5_Second_Attempt/vdop.h @@ -0,0 +1,58 @@ +#ifndef VDOP_FILE +#define VDOP_FILE +#include + +/** @brief Element-wise vector divison x_k = y_k/z_k. + * + * @param[out] x target vector + * @param[in] y source vector + * @param[in] z source vector + * + */ +void vddiv(std::vector & x, std::vector const& y, + std::vector const& z); + +/** @brief Element-wise daxpy operation x(k) = y(k) + alpha*z(k). + * + * @param[out] x target vector + * @param[in] y source vector + * @param[in] alpha scalar + * @param[in] z source vector + * + */ +void vdaxpy(std::vector & x, std::vector const& y, + double alpha, std::vector const& z ); + + +/** @brief Calculates the Euclidian inner product of two vectors. + * + * @param[in] x vector + * @param[in] y vector + * @return Euclidian inner product @f$\langle x,y \rangle@f$ + * + */ +double dscapr(std::vector const& x, std::vector const& y); + + +/** + * Print entries of a vector. + * @param[in] v vector values +*/ +void DebugVector(std::vector const &v); + +/** @brief Compares an STL vector with POD vector. + * + * The accuracy criteria @f$ |x_k-y_k| < \varepsilon \left({1+0.5(|x_k|+|y_k|)}\right) @f$ + * follows the book by + * Stoyan/Baran, p.8. + * + * @param[in] x STL vector + * @param[in] n length of POD vector + * @param[in] y POD vector + * @param[in] eps relative accuracy criteria (default := 0.0). + * @return true iff pairwise vector elements are relatively close to each other. + * + */ +bool CompareVectors(std::vector const& x, int n, double const y[], double const eps=0.0); + +#endif diff --git a/Sheet5/Ex5_Second_Attempt/visualize_results.m b/Sheet5/Ex5_Second_Attempt/visualize_results.m new file mode 100644 index 0000000..e40da61 --- /dev/null +++ b/Sheet5/Ex5_Second_Attempt/visualize_results.m @@ -0,0 +1,20 @@ +%% Visualize results +% +% flatpak run org.octave.Octave +% or +% octave --no-window-system --no-gui -qf +% +% or +% matlab -nosplash < + +clear all +clc + +%% +fname = 'uv.txt'; + +[xc,ia,v] = ascii_read_meshvector(fname); + +h = trisurf(ia, xc(:,1), xc(:,2), v); + +waitfor(h) % wait for closing the figure \ No newline at end of file