From 26d063798714b91dc49a9232c01be8f9258c3aaf Mon Sep 17 00:00:00 2001 From: "Vasco C. B. Ferreira" Date: Thu, 25 Jun 2026 01:48:39 +0200 Subject: [PATCH] eval with point_value() working --- CMakeLists.txt | 2 +- Makefile | 27 ---- libnufi_lib.a | Bin 11582512 -> 11712722 bytes nufi/blas.h | 54 ------- nufi/fields.h | 274 +++++++++++++-------------------- nufi/lsmr.h | 252 ------------------------------ nufi/nufi_solver.h | 8 +- nufi/parameters.h | 25 ++- nufi/poisson_problem.h | 339 ++++++++++++++++++++++++++++------------- nufi/save_results.h | 7 +- nufi/splines.h | 90 ----------- rho_E.mp4 | Bin 4144178 -> 633202 bytes src/blas.cc | 95 ------------ src/nufi_solver.cc | 51 ++----- src/save_results.cc | 20 ++- 15 files changed, 388 insertions(+), 856 deletions(-) delete mode 100644 nufi/blas.h delete mode 100644 nufi/lsmr.h delete mode 100644 nufi/splines.h delete mode 100644 src/blas.cc diff --git a/CMakeLists.txt b/CMakeLists.txt index 54666d7..a565c27 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -23,7 +23,7 @@ find_package(OpenMP REQUIRED) add_library(nufi_lib src/nufi_solver.cc src/save_results.cc - src/blas.cc + # src/blas.cc ) target_include_directories(nufi_lib PUBLIC diff --git a/Makefile b/Makefile index 1b6e392..38f5543 100644 --- a/Makefile +++ b/Makefile @@ -142,30 +142,6 @@ nufi_poisson/fast: $(MAKE) $(MAKESILENT) -f CMakeFiles/nufi_poisson.dir/build.make CMakeFiles/nufi_poisson.dir/build .PHONY : nufi_poisson/fast -src/blas.o: src/blas.cc.o -.PHONY : src/blas.o - -# target to build an object file -src/blas.cc.o: - $(MAKE) $(MAKESILENT) -f CMakeFiles/nufi_lib.dir/build.make CMakeFiles/nufi_lib.dir/src/blas.cc.o -.PHONY : src/blas.cc.o - -src/blas.i: src/blas.cc.i -.PHONY : src/blas.i - -# target to preprocess a source file -src/blas.cc.i: - $(MAKE) $(MAKESILENT) -f CMakeFiles/nufi_lib.dir/build.make CMakeFiles/nufi_lib.dir/src/blas.cc.i -.PHONY : src/blas.cc.i - -src/blas.s: src/blas.cc.s -.PHONY : src/blas.s - -# target to generate assembly for a file -src/blas.cc.s: - $(MAKE) $(MAKESILENT) -f CMakeFiles/nufi_lib.dir/build.make CMakeFiles/nufi_lib.dir/src/blas.cc.s -.PHONY : src/blas.cc.s - src/main.o: src/main.cc.o .PHONY : src/main.o @@ -248,9 +224,6 @@ help: @echo "... rebuild_cache" @echo "... nufi_lib" @echo "... nufi_poisson" - @echo "... src/blas.o" - @echo "... src/blas.i" - @echo "... src/blas.s" @echo "... src/main.o" @echo "... src/main.i" @echo "... src/main.s" diff --git a/libnufi_lib.a b/libnufi_lib.a index 14ea604f26033b905193006ac745a41db8159445..f66070de818fdd55baae792caa96517bb924d3e4 100644 GIT binary patch literal 11712722 zcmeFa>2e!MvM$)a@2`1+Yv;be9VED$&5W5As0vyrG{LIw+dn1;1X2czAetc=-B1{*TFK`sM%nZ~yy$_|NS5T zk@Zeak9y~5_5b|0zx?HY{GWgM-~RjmclhUkg98m5Xy8Bt2O2ogz<~x1G;pAS0}UK# z;6MWh8aU9vfd&pVaG-$$4IF6TKm!LFIMBd>1`afEpn(Go9BAM`0|y#7(7=HP4m5C} zfddU3Xy8Bt2O2ogz<~x1G;pAS0}UK#;6MWh8aU9vfd&pVaG-$$4IF6TKm!LFIMBd> z1`afEpn(Go9BAM`0|y#7(7=HP4m5C}fddU3Xy8Bt2O2ogz<~x1G;pAS0}UK#;6MWh z8aU9vfd&pVaG-$$4IF6TKm!LFIMBd>1`afEpn(Go9BAM`0|y#7(7=HP4m5C}fddU3 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zKVdUI^WP3O%>PiD@7MHXy#F#iGi1UE#*d|Zwtgjik|m~R{CuzxzW8o%IprtShKpQa zdR7iaa1GOk(RYG(a$0gK>Pwkki1!WEv->2w%((3MIMuW3?08L6cIJCzI%a(aPRM;h z$fhBL>cdz>dSw1HGsz!GQ`Co3J^O9}i!bWQvnQ - -/*! - * \brief Convenience wrappers for BLAS, with overloads for single and double - * precision. - */ -namespace blas -{ - -double dot( const size_t n, const double *x, size_t incx, - const double *y, size_t incy ); - -float dot( const size_t n, const float *x, size_t incx, - const float *y, size_t incy ); - -void axpy( size_t n, double alpha, const double *x, size_t incx, - double *y, size_t incy ); - -void axpy( size_t n, float alpha, const float *x, size_t incx, - float *y, size_t incy ); - - -void scal( size_t n, double alpha, double *x, size_t incx ); -void scal( size_t n, float alpha, float *x, size_t incx ); - -void copy( size_t n, const double *x, size_t incx, double *y, size_t incy ); -void copy( size_t n, const float *x, size_t incx, float *y, size_t incy ); - -void ger( const size_t M, const size_t N, const double alpha, - const double *X, const size_t incX, const double *Y, const size_t incY, - double *A, const size_t lda); - -void ger( const size_t M, const size_t N, const float alpha, - const float *X, const size_t incX, const float *Y, const size_t incY, - float *A, const size_t lda); - - -void gemv( const char trans, size_t m, size_t n, - double alpha, const double *a, size_t lda, - const double *x, size_t incx, double beta, - double *y, size_t incy ); - -void gemv( const char trans, size_t m, size_t n, - float alpha, const float *a, size_t lda, - const float *x, size_t incx, float beta, - float *y, size_t incy ); -} - - -#endif - diff --git a/nufi/fields.h b/nufi/fields.h index 18e5e58..9268c47 100644 --- a/nufi/fields.h +++ b/nufi/fields.h @@ -1,35 +1,79 @@ #ifndef FIELDS_H #define FIELDS_H +#include "nufi/parameters.h" +#include "poisson_problem.h" #include #include -#include "nufi/parameters.h" -#include "nufi/splines.h" -#include "nufi/lsmr.h" +#include using namespace dealii; -inline double f0(const double x, - const double v, +inline std::vector Indices_of_points(const std::vector &points, double x_min, double x_max, double dx, int grid_type=0) +{ + // grid type: + // 0 => uniform + // 1 => non uniform (TODO) + + if (dx <= 0.0) { + throw std::invalid_argument("dx must be positive"); + } + if (x_max <= x_min) { + throw std::invalid_argument("x_max must be > x_min"); + } + + std::vector indices; + indices.reserve(points.size()); + + switch (grid_type) { + case 0: + { + const double L = x_max - x_min; + const int N = std::floor(L/dx); + + + for (double x : points) //GPT loop, to check + { + x-= x_min; + x = x - L * std::floor(x/L); + + int i = static_cast(std::floor(x / dx)); + + // safety: handle rare edge case due to floating precision + if (i == N) i = 0; + + indices.push_back(i); + } + } + case 1: + { + throw std::invalid_argument("Case for non uniform grid is not completed"); + } + default: + throw std::invalid_argument("Invalid grid_type argument"); + + } + return indices; +} + +inline double f0(const double x, const double v, const double eps = Parameters::EPS, - const double k = Parameters::WAVE_NR) -{ - const double prefactor = Parameters::F0_FACTOR * (1.0 + eps * std::cos(k*x)); - const double gaussian = v*v * std::exp(-0.5 * v*v); + const double k = Parameters::WAVE_NR) { + const double prefactor = + Parameters::F0_FACTOR * (1.0 + eps * std::cos(k * x)); + const double gaussian = v * v * std::exp(-0.5 * v * v); return prefactor * gaussian; } - inline double compute_rho(const double x, - const unsigned int Nv = Parameters::NV) -{ - const double dv = (Parameters::V_DOMAIN_RIGHT - Parameters::V_DOMAIN_LEFT) / Nv; + const unsigned int Nv = Parameters::NV) { + const double dv = + (Parameters::V_DOMAIN_RIGHT - Parameters::V_DOMAIN_LEFT) / Nv; double integral = 0.0; - for (unsigned int i = 0; i < Nv; ++i) - { + for (unsigned int i = 0; i < Nv; ++i) { const double v = Parameters::V_DOMAIN_LEFT + (i + 0.5) * dv; integral += f0(x, v) * dv; } @@ -37,185 +81,82 @@ inline double compute_rho(const double x, return 1.0 - integral; } - -template -double eval(double x, const double *coeffs) noexcept -{ - using std::floor; - - // Shift to a box that starts at 0. - x -= Parameters::X_DOMAIN_LEFT; - - // Get "periodic position" in box at origin. - x = x - Parameters::LX * floor( x*Parameters::LX_INV ); - - // Knot number - double x_knot = floor( x*Parameters::SPLINE_DX_INV); - - size_t ii = static_cast(x_knot); - - // Convert x to reference coordinates. - x = x*Parameters::SPLINE_DX_INV - x_knot; - - // Scale according to derivative. - double factor = 1; - for ( size_t i = 0; i < dx; ++i ) factor *= 1*Parameters::SPLINE_DX_INV; - - return factor*splines1d::eval(x, coeffs + ii); +double eval(double x, const PoissonProblem<1> &poisson) noexcept { + return poisson.evaluate_potential(Point<1>(x)); } -template -void interpolate( real *coeffs, const real *values) -{ - std::unique_ptr tmp { new real[ Parameters::SPLINE_NX ] }; - - for ( size_t i = 0; i < Parameters::SPLINE_NX; ++i ) - tmp[ i ] = coeffs[ i ]; - - struct mat_t - { - real N[ order ]; - - mat_t() - { - splines1d::N(0,N); - } - - void operator()( const real *in, real *out ) const - { - #pragma omp parallel for - for ( size_t i = 0; i < Parameters::SPLINE_NX; ++i ) - { - real result = 0; - if ( i + order <= Parameters::SPLINE_NX ) - { - for ( size_t ii = 0; ii < order; ++ii ) - result += N[ii] * in[ i + ii ]; - } - else - { - for ( size_t ii = 0; ii < order; ++ii ) - result += N[ii]*in[ (i+ii) % Parameters::SPLINE_NX]; - } - out[ i ] = result; - } - } - }; - - struct transposed_mat_t - { - real N[ order ]; - - transposed_mat_t() - { - splines1d::N(0,N); - } - - void operator()( const real *in, real *out ) const - { - for ( size_t i = 0; i < Parameters::SPLINE_NX; ++i ) - out[ i ] = 0; - - for ( size_t i = 0; i < Parameters::SPLINE_NX; ++i ) - { - if ( i + order <= Parameters::SPLINE_NX ) - { - for ( size_t ii = 0; ii < order; ++ii ) - out[ i + ii ] += N[ii] * in[ i ]; - } - else - { - for ( size_t ii = 0; ii < order; ++ii ) - out[ (i+ii) % Parameters::SPLINE_NX ] += N[ii]*in[ i ]; - } - } - } - }; - - mat_t M; transposed_mat_t Mt; - lsmr_options opt; opt.silent = true; - lsmr( Parameters::SPLINE_NX, Parameters::SPLINE_NX , M, Mt, values, tmp.get(), opt ); - - if ( opt.iter == opt.max_iter ) - std::cerr << "Warning. LSMR did not converge.\n"; - - for ( size_t i = 0; i < Parameters::SPLINE_NX + order - 1; ++i ) - coeffs[ i ] = tmp[ i % Parameters::SPLINE_NX ]; -} - -inline double integral_space_vector(const double *current_coeffs, double dx = Parameters::SPLINE_DX, size_t Nx = Parameters::SPLINE_NX) -{ +inline double integral_space_vector(const PoissonProblem<1> &poisson, + double dx = Parameters::PLOT_DX, + size_t Nx = Parameters::PLOT_NX) { double integral = 0.0; double xmin = Parameters::X_DOMAIN_LEFT; - #pragma omp parallel for reduction (+:integral) - for (size_t i=0; i(x, current_coeffs); + integral += eval(x, poisson); } - return integral*dx; + return integral * dx; }; -inline double integral_space_vector_squared(const double *current_coeffs, double dx = Parameters::SPLINE_DX, size_t Nx = Parameters::SPLINE_NX) -{ +inline double integral_space_vector_squared(const PoissonProblem<1> &poisson, + double dx = Parameters::PLOT_DX, + size_t Nx = Parameters::PLOT_NX) { double integral = 0.0; double xmin = Parameters::X_DOMAIN_LEFT; - #pragma omp parallel for reduction (+:integral) - for (size_t i=0; i(x, current_coeffs); - integral += val*val; +#pragma omp parallel for reduction(+ : integral) + for (size_t i = 0; i < Nx; ++i) { + double x = xmin + i * dx; + double val = eval(x, poisson); + integral += val * val; } - return integral*dx; + return integral * dx; }; class Gradient { public: - Gradient(double xmin, double xmax, unsigned int Nx) - : xmin_(xmin), xmax_(xmax), Nx_(Nx) - { - if (xmax_ <= xmin_) { - throw std::invalid_argument("xmax must be greater than xmin"); - } + Gradient(double xmin, double xmax, unsigned int Nx) + : xmin_(xmin), xmax_(xmax), Nx_(Nx) { + if (xmax_ <= xmin_) { + throw std::invalid_argument("xmax must be greater than xmin"); + } + } + + std::vector compute(const std::vector &values) const { + size_t n = values.size(); + if (n < 2) { + throw std::invalid_argument("Need at least 2 points"); } - std::vector compute(const std::vector& values) const { - size_t n = values.size(); - if (n < 2) { - throw std::invalid_argument("Need at least 2 points"); - } + std::vector grad(n); - std::vector grad(n); + double dx = (xmax_ - xmin_) / (n - 1); + // periodic boundaries + grad[0] = -(values[1] - values[n - 1]) / (2.0 * dx); + grad[n - 1] = -(values[0] - values[n - 2]) / (2.0 * dx); - double dx = (xmax_ - xmin_) / (n-1); - // periodic boundaries - grad[0] = -(values[1] - values[n-1]) / (2.0 * dx); - grad[n-1] = -(values[0] - values[n-2]) / (2.0 * dx); - - for (size_t i = 1; i < n-1; ++i) { - grad[i] = -(values[i+1] - values[i-1]) / (2.0 * dx); - } - - - return grad; + for (size_t i = 1; i < n - 1; ++i) { + grad[i] = -(values[i + 1] - values[i - 1]) / (2.0 * dx); } + + return grad; + } + private: - double xmin_; - double xmax_; - [[maybe_unused]] unsigned int Nx_; + double xmin_; + double xmax_; + [[maybe_unused]] unsigned int Nx_; }; template class ChargeDensity : public Function // only uses f0 { public: - ChargeDensity(double eps, - double k, - unsigned int Nv) - : Function(1), eps(eps), k(k), Nv(Nv) {} + ChargeDensity(double eps, double k, unsigned int Nv) + : Function(1), eps(eps), k(k), Nv(Nv) {} - virtual double value(const Point &p, - [[maybe_unused]] const unsigned int component = 0) const override - { + virtual double + value(const Point &p, + [[maybe_unused]] const unsigned int component = 0) const override { return compute_rho(p[0], Nv); } @@ -225,5 +166,4 @@ private: const unsigned int Nv; }; - #endif diff --git a/nufi/lsmr.h b/nufi/lsmr.h deleted file mode 100644 index 144793f..0000000 --- a/nufi/lsmr.h +++ /dev/null @@ -1,252 +0,0 @@ -#ifndef LSMR_H -#define LSMR_H - -#include -#include -#include -#include -#include "nufi/blas.h" - -template -struct lsmr_options -{ - /////////// - // INPUT // - /////////// - - // Whether to print messages to std::cout. - bool silent = true; - - // Residual of normal equations AᵀAx = Aᵀb - bool relative_residual = true; - real target_residual = std::numeric_limits::epsilon(); - size_t max_iter = 1000; - - // How many Lánczos vectors to keep for local reorthogonalisation. - // Choose zero for no reorthogonalisation, pure LSMR. - // Choose a large value for complete reorthognalisation. - // - // In an ideal world without roundoff errors, this would have no effect - // at all, as the Lánczos vectors would be perfectly orthogonal. In practice - // this property is lost rather quickly. One may choose to store some of - // the most recent Lánczos vectors to enforce this property manually. This - // increase convergence speed at the cost of additional memory requirements. - size_t reorthogonalise_u = 50; - size_t reorthogonalise_v = 50; - - //////////// - // OUTPUT // - //////////// - - // Iteration count and reached residual. - // Estimates of ‖A‖ and cond(A) - size_t iter; real residual; - real norm_A_estimate, cond_estimate; -}; - -template -void lsmr( size_t m, size_t n, const mat& A, const transposed_mat& At, - const real *b, real *x, lsmr_options &S ); - -namespace lsmr_impl -{ - -template -real norm( size_t n, const real *x ) -{ - using std::hypot; - - real result = 0; - for ( size_t i = 0; i < n; ++i ) - result = hypot(result,x[i]); - - return result; -} - -// Reorthognalise u with respect to the previous vectors in buffer, -// using the modified Gram–Schmidt process. Overwrite the oldest vector -// in buffer when full. -template -void reorthogonalise( real *buf, size_t n, size_t buffer_max, - real *u, size_t iter ) -{ - using std::min; - using blas::dot; - using blas::axpy; - using blas::scal; - using blas::copy; - - size_t n_buffered = min( iter+1, buffer_max ); - for ( size_t i = 0; i < n_buffered; ++i ) - { - real fac = -dot( n, u, 1, buf + i*n, 1 ); - axpy( n, fac, buf + i*n, 1, u, 1 ); - } - - scal( n, 1/norm(n,u), u, 1 ); - copy( n, u, 1, buf + ((iter+1)%buffer_max)*n, 1 ); -} - -} - -template -void lsmr( size_t m, size_t n, const mat& A, const transposed_mat& At, - const real *b, real *x, lsmr_options &S ) -{ - using std::min; - using std::max; - using std::abs; - using std::swap; - using std::hypot; - using blas::axpy; - using blas::scal; - using blas::copy; - using lsmr_impl::norm; - using lsmr_impl::reorthogonalise; - - - // Allocation of buffers. - size_t max_buf = min(n,m)-1; - S.reorthogonalise_u = min(S.reorthogonalise_u,max_buf); - S.reorthogonalise_v = min(S.reorthogonalise_v,max_buf); - size_t u_buffer_size = max( S.reorthogonalise_u, size_t(1) ); - size_t v_buffer_size = max( S.reorthogonalise_v, size_t(1) ); - - std::unique_ptr data { new real[ n*( 4 + v_buffer_size ) + - m*( 2 + u_buffer_size ) ] {} }; - - real *u = data.get(); - real *utmp = u + m; - real *ubuf = utmp + m; - real *v = ubuf + m*u_buffer_size; - real *vtmp = v + n; - real *h = vtmp + n; - real *h_bar = h + n; - real *vbuf = h_bar + n; - - At(b,v); - const real norm_ATb = norm(n,v); - - - A(x,u); axpy(m,real(-1),b,1,u,1); - scal(m, real(-1), u, 1 ); // u = b - Ax; - - real alpha = 0; - real beta = norm(m,u); - - if ( beta > real(0) ) - { - scal(m, real(1)/beta, u, 1 ); // u = b - Ax / norm(b-Ax) - At(u,v); // v = At*u - alpha = norm(n,v); - } - - if ( alpha > real(0) ) - scal(n, real(1)/alpha, v, 1 ); // v = At*u/norm(At*u) - - copy(n,u,1,ubuf,1); // u_buf.col(0) = u_buf - copy(n,v,1,vbuf,1); // v_buf.col(0) = v - copy(n,v,1,h,1); // h = v - - if ( alpha * beta == real(0) ) return; - - - real alpha_bar = alpha, zeta_bar = alpha*beta; - real rho = 1, rho_bar = 1, c_bar = 1, s_bar = 0; - real c, s, theta, zeta, theta_bar, rho_prev, rho_bar_prev; - - // For estimating the condition number. - real sigma_max = 0, sigma_min = std::numeric_limits::max(); - real rho_bar_max = 0, rho_bar_min = std::numeric_limits::max(); - - S.norm_A_estimate = 0; - for ( S.iter = 0; S.iter < S.max_iter; ++S.iter ) - { - // Continue the bidiagonalisation. - A(v,utmp); axpy(m,-alpha,u,1,utmp,1); swap(u,utmp); // u = A*v - alpha*u - beta = norm(m,u); - - if ( beta > 0 ) - { - scal(m, real(1)/beta, u, 1 ); - if ( S.reorthogonalise_u ) - reorthogonalise( ubuf, m, u_buffer_size, u, S.iter ); - - S.norm_A_estimate = hypot( alpha, S.norm_A_estimate ); - S.norm_A_estimate = hypot( beta , S.norm_A_estimate ); - - At(u,vtmp); axpy(n,-beta,v,1,vtmp,1); swap(v,vtmp); // v = At*u - beta*v - alpha = norm(n,v); - - if ( alpha > 0 ) - { - scal(n,real(1)/alpha, v, 1 ); - if ( S.reorthogonalise_v ) - reorthogonalise( vbuf, n, v_buffer_size, v, S.iter ); - } - } - - // Construct and apply rotation P_k - rho_prev = rho; - rho = hypot(alpha_bar,beta); - c = alpha_bar/rho; - s = beta/rho; - theta = s*alpha; - alpha_bar = c*alpha; - - // Construct and apply rotation \bar{P}_k - rho_bar_prev = rho_bar; - if ( S.iter ) - { - rho_bar_max = max( rho_bar, rho_bar_max ); - rho_bar_min = min( rho_bar, rho_bar_min ); - } - theta_bar = s_bar*rho; - rho_bar = hypot( c_bar*rho, theta ); - if ( S.iter ) - { - sigma_max = max( rho_bar_max, c_bar*rho ); - sigma_min = min( rho_bar_min, c_bar*rho ); - } - c_bar = c_bar * rho/rho_bar; - s_bar = theta/rho_bar; - zeta = c_bar * zeta_bar; - zeta_bar = -s_bar*zeta_bar; - - - // Update h, h_bar, x - scal(n, -(theta_bar*rho)/(rho_prev*rho_bar_prev), h_bar, 1 ) ; - axpy(n, real(1), h, 1, h_bar, 1 ); // h_bar = h - factor*h_bar - - axpy( n, zeta/(rho*rho_bar), h_bar, 1, x, 1 ); // x += factor * h_bar - - scal(n, -theta/rho, h, 1 ); - axpy(n, real(1), v, 1, h, 1 ); // h = v - factor*h; - - // Estimate quantities. - if ( S.relative_residual ) S.residual = abs(zeta_bar)/norm_ATb; - else S.residual = abs(zeta_bar); - S.cond_estimate = sigma_max / sigma_min; - - if ( S.residual <= S.target_residual ) - { - if ( S.silent == false ) - { - std::cout << "LSMR: Iteration: " << std::setw(4) << S.iter << ", " - << "Residual: " << std::setw(12) << std::scientific << S.residual << ", " - << "cond estimate: " << std::setw(12) << std::scientific << S.cond_estimate << ".\n"; - } - return; - } - - if ( S.silent == false && (S.iter%10) == 0 ) - { - std::cout << "LSMR: Iteration: " << std::setw(4) << S.iter << ", " - << "Residual: " << std::setw(12) << std::scientific << S.residual << ", " - << "cond estimate: " << std::setw(12) << std::scientific << S.cond_estimate << ".\n"; - } - } -} - -#endif - diff --git a/nufi/nufi_solver.h b/nufi/nufi_solver.h index a023895..522b0b5 100644 --- a/nufi/nufi_solver.h +++ b/nufi/nufi_solver.h @@ -20,15 +20,15 @@ public: NuFISolver(); void run(); - double eval_rho(unsigned int n, double x, const double *E_coeffs, unsigned int Nv = Parameters::NV) const; - double eval_ftilda(unsigned int n, double x, double u, const double *E_coeffs) const; - double eval_f(unsigned int n, double x, double u, const double *E_coeffs) const; + double eval_rho(unsigned int n, double x, const PoissonProblem<1> &poisson, unsigned int Nv = Parameters::NV) const; + double eval_ftilda(unsigned int n, double x, double u, const PoissonProblem<1> &poisson) const; + double eval_f(unsigned int n, double x, double u, const PoissonProblem<1> &poisson) const; private: unsigned int Nt = std::floor(Parameters::TMAX/Parameters::DT); - unsigned int Nx = Parameters::SPLINE_NX; + unsigned int Nx = Parameters::CALC_NX; double Lx = Parameters::LX; diff --git a/nufi/parameters.h b/nufi/parameters.h index 97618e6..0049d18 100644 --- a/nufi/parameters.h +++ b/nufi/parameters.h @@ -13,34 +13,33 @@ namespace Parameters constexpr double LX = std::abs(X_DOMAIN_RIGHT- X_DOMAIN_LEFT); constexpr double LX_INV = 1/LX; + constexpr size_t CALC_NX = 256; + constexpr double CALC_DX = LX/CALC_NX; + constexpr double V_DOMAIN_LEFT = -10.; constexpr double V_DOMAIN_RIGHT = 10.; - constexpr unsigned int NV = 512; + constexpr unsigned int NV = 256; constexpr double DV = std::abs(V_DOMAIN_RIGHT - V_DOMAIN_LEFT)/NV; // deal.ii options constexpr unsigned int GLOBAL_REFINEMENT = 8; - constexpr unsigned int FE_DEGREE = 4; - constexpr unsigned int CONVERGENCE_ITERATIONS = 10000; - constexpr double CONVERGENCE_LIMIT = 1e-12; + constexpr unsigned int FE_DEGREE = 3; + constexpr unsigned int CONVERGENCE_ITERATIONS = 5000; + constexpr double CONVERGENCE_LIMIT = 1e-8; constexpr double EPS = 0.01; constexpr double WAVE_NR = 0.5; constexpr double F0_FACTOR = 0.39894228040143267793994; // 1/sqrt(2pi) // NUFI options - constexpr double DT=1./16.; - constexpr unsigned int TMAX = 500; - - //spline options - constexpr int SPLINE_NX = 256; - constexpr double SPLINE_DX = LX/(SPLINE_NX); - constexpr double SPLINE_DX_INV = 1/SPLINE_DX; - constexpr size_t SPLINE_ORDER = 4; + constexpr double DT=1./4.; + constexpr unsigned int TMAX = 50; //Plotting options - constexpr int PLOT_FREQUENCY = 10; + constexpr int PLOT_FREQUENCY = 20; + constexpr size_t PLOT_NX = 256; + constexpr double PLOT_DX = LX/PLOT_NX; } #endif diff --git a/nufi/poisson_problem.h b/nufi/poisson_problem.h index 7571603..3de0c54 100644 --- a/nufi/poisson_problem.h +++ b/nufi/poisson_problem.h @@ -3,38 +3,38 @@ #include +#include +#include #include #include #include -#include #include #include #include -#include -#include -#include -#include -#include -#include -#include #include +#include +#include +#include +#include +#include +#include -#include #include #include +#include #include -#include #include +#include #include #include #include -#include -#include #include +#include +#include #include #include @@ -49,9 +49,7 @@ using namespace dealii; // =-=-=-=-= Poisson Solver =-=-=-=-= -template -class PoissonProblem -{ +template class PoissonProblem { public: PoissonProblem(unsigned int degree); @@ -64,8 +62,15 @@ public: const Vector &get_solution() const { return solution; } const DoFHandler &get_dof_handler() const { return dof_handler; } - std::vector sample_electric_field(double x_min, double x_max, unsigned int Nx); - std::vector sample_electric_potential(double x_min, double x_max, unsigned int Nx); + std::vector sample_electric_field(double x_min, double x_max, + unsigned int Nx); + std::vector sample_electric_potential(double x_min, double x_max, + unsigned int Nx); + + double evaluate_potential(const Point &p) const +{ + return fe_field_function->value(p); +} private: void create_mesh(); @@ -74,100 +79,93 @@ private: void solve(); Triangulation triangulation; - FE_Q fe; - DoFHandler dof_handler; + FE_Q fe; + DoFHandler dof_handler; AffineConstraints constraints; - SparsityPattern sparsity_pattern; + SparsityPattern sparsity_pattern; SparseMatrix system_matrix; - Vector solution; // phi + Vector solution; // phi Vector system_rhs; std::unique_ptr> rhs_function; MappingQ mapping; + + std::unique_ptr> fe_field_function; }; // Utilities template -void PoissonProblem::set_rhs_function(std::unique_ptr> rhs) -{ +void PoissonProblem::set_rhs_function(std::unique_ptr> rhs) { rhs_function = std::move(rhs); } template PoissonProblem::PoissonProblem(unsigned int degree) - : fe(degree) - , dof_handler(triangulation) - , mapping(degree) -{} + : fe(degree), dof_handler(triangulation), mapping(degree) {} template -std::vector PoissonProblem::sample_electric_field(double x_min,double x_max,unsigned int Nx) -{ +std::vector +PoissonProblem::sample_electric_field(double x_min, double x_max, + unsigned int Nx) { std::vector E_values(Nx); const double dx = (x_max - x_min) / (Nx - 1); - for (unsigned int i = 0; i < Nx; ++i) - { - const double x = x_min + i * dx; - const Point point(x); + for (unsigned int i = 0; i < Nx; ++i) { + const double x = x_min + i * dx; + const Point point(x); - // 1. Find the active cell containing x - const auto cell_point_pair = - GridTools::find_active_cell_around_point(mapping, - dof_handler, - point); + // 1. Find the active cell containing x + const auto cell_point_pair = + GridTools::find_active_cell_around_point(mapping, dof_handler, point); - const auto cell = cell_point_pair.first; - const Point &unit_point = cell_point_pair.second; + const auto cell = cell_point_pair.first; + const Point &unit_point = cell_point_pair.second; - // 2. FEPointEvaluation expects an ArrayView of points - std::vector> points(1, unit_point); - ArrayView> point_view(points); + // 2. FEPointEvaluation expects an ArrayView of points + std::vector> points(1, unit_point); + ArrayView> point_view(points); - FEPointEvaluation<1, dim> evaluator(mapping, - dof_handler.get_fe(), - update_gradients); + FEPointEvaluation<1, dim> evaluator(mapping, dof_handler.get_fe(), + update_gradients); - // reinit with ArrayView of points - evaluator.reinit(cell, point_view); + // reinit with ArrayView of points + evaluator.reinit(cell, point_view); - Vector local_dofs(dof_handler.get_fe().dofs_per_cell); - cell->get_dof_values(solution, local_dofs); + Vector local_dofs(dof_handler.get_fe().dofs_per_cell); + cell->get_dof_values(solution, local_dofs); - // 3. Evaluate gradient at this point - evaluator.evaluate(local_dofs, EvaluationFlags::gradients); + // 3. Evaluate gradient at this point + evaluator.evaluate(local_dofs, EvaluationFlags::gradients); - const Tensor<1, dim> grad_phi = evaluator.get_gradient(0); + const Tensor<1, dim> grad_phi = evaluator.get_gradient(0); - // 4. Compute E = -grad(phi) - E_values[i] = -grad_phi[0]; + // 4. Compute E = -grad(phi) + E_values[i] = -grad_phi[0]; } return E_values; } template -std::vector PoissonProblem::sample_electric_potential( - double x_min, - double x_max, - unsigned int Nx) -{ +std::vector +PoissonProblem::sample_electric_potential(double x_min, double x_max, + unsigned int Nx) { std::vector values(Nx); std::vector> eval_points(Nx); double Lx = x_max - x_min; double dx = Lx / Nx; - for(unsigned int i=0 ; i(x_min + i * dx); - Utilities::MPI::RemotePointEvaluation cache; + Utilities::MPI::RemotePointEvaluation cache; cache.reinit(eval_points, triangulation, mapping); values = VectorTools::point_values(cache, dof_handler, solution); @@ -175,45 +173,129 @@ std::vector PoissonProblem::sample_electric_potential( return values; } -// dealii Poisson - -template -void PoissonProblem::create_mesh() -{ +// // by GPT to re-re-re-check +// template std::vector eval_solution_on_points( +// const std::vector> &solutions, +// const unsigned int n, +// const std::vector> &points, // need to be in [x_min, x_max]. I think.... +// const std::vector &cell_indices, +// const DoFHandler &dof_handler, +// const MappingQ &mapping) +// { +// AssertIndexRange(n, solutions.size()); +// Assert(points.size() == cell_indices.size(), +// ExcMessage("points and cell_indices must have same size")); +// +// const Vector &solution = solutions[n]; +// +// std::vector result(points.size()); +// +// // Group points by cell (required for FEPointEvaluation efficiency) +// std::map> cell_to_point_ids; +// +// for (unsigned int i = 0; i < points.size(); ++i) +// cell_to_point_ids[cell_indices[i]].push_back(i); +// +// FEPointEvaluation<1, dim> evaluator(mapping, +// dof_handler.get_fe(), +// update_values); +// +// std::vector> cell_points; +// Vector local_dofs(dof_handler.get_fe().dofs_per_cell); +// +// for (const auto &entry : cell_to_point_ids) +// { +// const unsigned int cell_id = entry.first; +// const auto &point_ids = entry.second; +// +// // these two lines bellow assume some order not sure how or why +// auto cell = dof_handler.begin_active(); +// std::advance(cell, cell_id); +// +// // extract points belonging to this cell +// cell_points.clear(); +// cell_points.reserve(point_ids.size()); +// +// for (unsigned int id : point_ids) +// cell_points.push_back(points[id]); +// +// std::vector indices(dof_handler.get_fe().n_dofs_per_cell()); +// cell->get_dof_indices(indices); +// +// for (unsigned int i=0;i +double eval_point(const Mapping &mapping, + const DoFHandler &dof_handler, + const Vector &solution, + const Point &point) +{ + return VectorTools::point_value(mapping, + dof_handler, + solution, + point); +} + +// dealii Poisson + +template void PoissonProblem::create_mesh() { + + GridGenerator::hyper_cube(triangulation, Parameters::X_DOMAIN_LEFT, Parameters::X_DOMAIN_RIGHT); + std::vector< + GridTools::PeriodicFacePair::cell_iterator>> + periodic_faces; - std::vector::cell_iterator>> periodic_faces; - - GridTools::collect_periodic_faces(triangulation, - 0, 1, // boundary IDs - 0, - periodic_faces); + GridTools::collect_periodic_faces(triangulation, 0, 1, // boundary IDs + 0, periodic_faces); triangulation.add_periodicity(periodic_faces); triangulation.refine_global(Parameters::GLOBAL_REFINEMENT); } -template -void PoissonProblem::setup_system() -{ +template void PoissonProblem::setup_system() { dof_handler.distribute_dofs(fe); constraints.clear(); - + DoFTools::make_hanging_node_constraints(dof_handler, constraints); - DoFTools::make_periodicity_constraints(dof_handler, - 0, 1, - 0, - constraints); - + DoFTools::make_periodicity_constraints(dof_handler, 0, 1, 0, constraints); + + // Gauge fix for periodic Poisson: + // remove the constant nullspace by pinning one unconstrained DoF. + // (by Paul Wilhelm) + types::global_dof_index gauge_dof = numbers::invalid_dof_index; + + for (types::global_dof_index i = 0; i < dof_handler.n_dofs(); ++i) { + if (!constraints.is_constrained(i)) { + gauge_dof = i; + break; + } + + + Assert(gauge_dof != numbers::invalid_dof_index, + ExcMessage("No unconstrained DoF found for gauge fixing.")); + + constraints.add_line(gauge_dof); + constraints.set_inhomogeneity(gauge_dof, 0.0); + constraints.close(); DynamicSparsityPattern dsp(dof_handler.n_dofs()); @@ -224,11 +306,21 @@ void PoissonProblem::setup_system() solution.reinit(dof_handler.n_dofs()); system_rhs.reinit(dof_handler.n_dofs()); -} + fe_field_function = + std::make_unique>( + dof_handler, solution, mapping); + } + +} +/* (Mine) template void PoissonProblem::assemble_system() { + + system_matrix = 0; + system_rhs = 0; + QGauss quadrature_formula(fe.degree + 1); FEValues fe_values(fe, quadrature_formula, update_values | @@ -296,13 +388,56 @@ void PoissonProblem::assemble_system() solution, system_rhs); } + */ +// Paul's, mine's above -template -void PoissonProblem::solve() -{ +template void PoissonProblem::assemble_system() { + system_matrix = 0; + system_rhs = 0; - SolverControl solver_control(Parameters::CONVERGENCE_ITERATIONS, Parameters::CONVERGENCE_LIMIT); + QGauss quadrature_formula(fe.degree + 1); + FEValues fe_values(fe, quadrature_formula, + update_values | update_gradients | + update_quadrature_points | update_JxW_values); + + const unsigned int dofs_per_cell = fe.n_dofs_per_cell(); + + FullMatrix cell_matrix(dofs_per_cell, dofs_per_cell); + Vector cell_rhs(dofs_per_cell); + std::vector local_dof_indices(dofs_per_cell); + + Assert(rhs_function != nullptr, ExcMessage("RHS function not set")); + + for (const auto &cell : dof_handler.active_cell_iterators()) { + fe_values.reinit(cell); + + cell_matrix = 0; + cell_rhs = 0; + + for (const auto q : fe_values.quadrature_point_indices()) { + const double rho = rhs_function->value(fe_values.quadrature_point(q)); + + for (const unsigned int i : fe_values.dof_indices()) + for (const unsigned int j : fe_values.dof_indices()) + cell_matrix(i, j) += fe_values.shape_grad(i, q) * + fe_values.shape_grad(j, q) * fe_values.JxW(q); + + for (const unsigned int i : fe_values.dof_indices()) + cell_rhs(i) += fe_values.shape_value(i, q) * rho * fe_values.JxW(q); + } + + cell->get_dof_indices(local_dof_indices); + + constraints.distribute_local_to_global( + cell_matrix, cell_rhs, local_dof_indices, system_matrix, system_rhs); + } +} + +template void PoissonProblem::solve() { + + SolverControl solver_control(Parameters::CONVERGENCE_ITERATIONS, + Parameters::CONVERGENCE_LIMIT); SolverCG> solver(solver_control); // PreconditionSSOR> preconditioner; @@ -310,28 +445,26 @@ void PoissonProblem::solve() // solver.solve(system_matrix, solution, system_rhs, preconditioner); solver.solve(system_matrix, solution, system_rhs, PreconditionIdentity()); - // constraints.distribute(solution); + constraints.distribute(solution); + + + fe_field_function = + std::make_unique>( + dof_handler, solution, mapping); } -template -void PoissonProblem::initialize() -{ - create_mesh(); // build grid - setup_system(); // distribute DoFs and matrices +template void PoissonProblem::initialize() { + create_mesh(); // build grid + setup_system(); // distribute DoFs and matrices } -template -void PoissonProblem::solve_step() -{ +template void PoissonProblem::solve_step() { assemble_system(); solve(); } - // NuFI doesnt use this, kept only for testing PoissonProblem -template -void PoissonProblem::run() -{ +template void PoissonProblem::run() { create_mesh(); setup_system(); assemble_system(); diff --git a/nufi/save_results.h b/nufi/save_results.h index 2874edc..981158c 100644 --- a/nufi/save_results.h +++ b/nufi/save_results.h @@ -3,23 +3,24 @@ #include #include "nufi/nufi_solver.h" +#include "nufi/poisson_problem.h" void save_f( const NuFISolver &solver, unsigned int n, - const double *E_coeffs, + const PoissonProblem<1> &poisson, unsigned int Nx_out, unsigned int Nv_out, const std::string &filename); void save_rho(const NuFISolver &solver, unsigned int n, - const double *E_coeffs, + const PoissonProblem<1> &poisson, unsigned int Nx_out, const std::string &filename); void save_Efield(unsigned int n, - const double *E_coeffs, + const PoissonProblem<1> &poisson, unsigned int Nx_out, const std::string &filename); diff --git a/nufi/splines.h b/nufi/splines.h deleted file mode 100644 index 73e8fd0..0000000 --- a/nufi/splines.h +++ /dev/null @@ -1,90 +0,0 @@ -#ifndef SPLINES_HP -#define SPLINES_HP - -#include - -namespace splines1d -{ - -template -constexpr real faculty( size_t n ) noexcept -{ - return (n > 1) ? real(n)*faculty(n-1) : real(1); -} - -template -void N( real x, real *result, size_t stride = 1 ) noexcept -{ - static_assert( order > 0, "Splines must have order greater than zero." ); - constexpr int n { order }; - constexpr int d { derivative }; - - if ( derivative >= order ) - for ( size_t i = 0; i < order; ++i ) - result[ i*stride ] = 0; - - if ( n == 1 ) - { - *result = 1; - return; - } - - real v[n]; v[n-1] = 1; - for ( int k = 1; k < n - d; ++k ) - { - v[n-k-1] = (1-x)*v[n-k]; - - for ( int i = 1-k; i < 0; ++i ) - v[n-1+i] = (x-i)*v[n-1+i] + (k+1+i-x)*v[n+i]; - - v[n-1] *= x; - } - - // Differentiate if necessary. - for ( size_t j = derivative; j-- > 0; ) - { - v[j] = -v[j+1]; - for ( size_t i = j + 1; i < order - 1; ++i ) - v[i] = v[i] - v[i+1]; - } - - constexpr real factor = real(1) / faculty(order-derivative-1); - for ( size_t i = 0; i < order; ++i ) - result[i*stride] = v[i]*factor; -} - -template -real eval( real x, const real *coefficients, size_t stride = 1 ) noexcept -{ - static_assert( order > 0, "Splines must have order greater than zero." ); - static_assert( order > derivative, "Too high derivative requested." ); - constexpr size_t n { order }; - constexpr size_t d { derivative }; - - if ( d >= n ) return 0; - if ( n == 1 ) return *coefficients; - - // Gather coefficients. - real c[ order ]; - for ( size_t j = 0; j < order; ++j ) - c[j] = coefficients[ stride * j ]; - - // Differentiate if necessary. - for ( size_t j = 1; j <= d; ++j ) - for ( size_t i = n; i-- > j; ) - c[i] = c[i] - 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zzYVOBaX^E9(rANyYai5r4^g&O0{(=XE1H$|@36VEhLF`%P0GoPPxSN7n&(ZRa z8juj>-ye8^hh(m%E-oPUe_t%Ne?C>CDRXzeH%?+<`iC;iy$E>nWCfl)@q!0W9RCYe CX=nBT diff --git a/src/blas.cc b/src/blas.cc deleted file mode 100644 index 9107ecc..0000000 --- a/src/blas.cc +++ /dev/null @@ -1,95 +0,0 @@ -#include "nufi/blas.h" -#include - -namespace blas -{ - -double dot( const size_t n, const double *x, size_t incx, - const double *y, size_t incy ) -{ - return cblas_ddot(n,x,incx,y,incy); -} - -float dot( const size_t n, const float *x, size_t incx, - const float *y, size_t incy ) -{ - return cblas_sdot(n,x,incx,y,incy); -} - -void axpy( size_t n, double alpha, const double *x, size_t incx, - double *y, size_t incy ) -{ - cblas_daxpy(n,alpha,x,incx,y,incy); -} - -void axpy( size_t n, float alpha, const float *x, size_t incx, - float *y, size_t incy ) -{ - cblas_saxpy(n,alpha,x,incx,y,incy); -} - -void scal( size_t n, double alpha, double *x, size_t incx ) -{ - cblas_dscal(n,alpha,x,incx); -} - -void scal( size_t n, float alpha, float *x, size_t incx ) -{ - cblas_sscal(n,alpha,x,incx); -} - -void copy( size_t n, const double *x, size_t incx, double *y, size_t incy ) -{ - cblas_dcopy(n,x,incx,y,incy); -} - -void copy( size_t n, const float *x, size_t incx, float *y, size_t incy ) -{ - cblas_scopy(n,x,incx,y,incy); -} - -void ger( const size_t M, const size_t N, const double alpha, - const double *X, const size_t incX, const double *Y, const size_t incY, - double *A, const size_t lda) -{ - cblas_dger( CblasColMajor, M, N, alpha, X, incX, Y, incY, A, lda ); -} - -void ger( const size_t M, const size_t N, const float alpha, - const float *X, const size_t incX, const float *Y, const size_t incY, - float *A, const size_t lda) -{ - cblas_sger( CblasColMajor, M, N, alpha, X, incX, Y, incY, A, lda ); -} - -void gemv( const char trans, size_t m, size_t n, - double alpha, const double *a, size_t lda, - const double *x, size_t incx, double beta, - double *y, size_t incy ) -{ - if ( trans == 'T' || trans == 'Y' ) - { - cblas_dgemv( CblasColMajor, CblasTrans, m, n, alpha, a, lda, x, incx, beta, y, incy ); - } - else - { - cblas_dgemv( CblasColMajor, CblasNoTrans, m, n, alpha, a, lda, x, incx, beta, y, incy ); - } -} - -void gemv( const char trans, size_t m, size_t n, - float alpha, const float *a, size_t lda, - const float *x, size_t incx, float beta, - float *y, size_t incy ) -{ - if ( trans == 'T' || trans == 'Y' ) - { - cblas_sgemv( CblasColMajor, CblasTrans, m, n, alpha, a, lda, x, incx, beta, y, incy ); - } - else - { - cblas_sgemv( CblasColMajor, CblasNoTrans, m, n, alpha, a, lda, x, incx, beta, y, incy ); - } -} - -} diff --git a/src/nufi_solver.cc b/src/nufi_solver.cc index 83ca6a1..deece5b 100644 --- a/src/nufi_solver.cc +++ b/src/nufi_solver.cc @@ -24,31 +24,24 @@ using namespace dealii; double NuFISolver::eval_ftilda(unsigned int n, double x, double u, - const double *E_coeffs) const + const PoissonProblem<1> &poisson) const { if ( n == 0 ) return f0(x,u); - const size_t order = Parameters::SPLINE_ORDER; - const size_t stride_x = 1; - const size_t stride_t = stride_x*(Nx + order - 1); - double Ex; - const double *c; // We omit the initial half-step. while ( --n ) { x = x - Parameters::DT *u; - c = E_coeffs + n*stride_t; - Ex = -eval<1>(x, c); + Ex = -eval(x, poisson); u = u + Parameters::DT *Ex; } // The final half-step. x -= Parameters::DT*u; - c = E_coeffs + n*stride_t; - Ex = -eval<1>(x, c); + Ex = -eval(x, poisson); u += 0.5*Parameters::DT*Ex; return f0(x,u); @@ -57,34 +50,26 @@ double NuFISolver::eval_ftilda(unsigned int n, double NuFISolver::eval_f(unsigned int n, double x, double u, - const double *E_coeffs) const + const PoissonProblem<1> &poisson) const { if ( n == 0 ) return f0(x,u); - const size_t order = Parameters::SPLINE_ORDER; - const size_t stride_x = 1; - const size_t stride_t = stride_x*(Nx + order - 1); - double Ex; - const double *c; // Initial half-step. - c = E_coeffs + n*stride_t; - Ex = -eval<1>(x, c); + Ex = -eval(x, poisson); u += 0.5*Parameters::DT * Ex; while ( --n ) { x = x - Parameters::DT *u; - c = E_coeffs + n*stride_t; - Ex = -eval<1>(x, c); + Ex = -eval(x, poisson); u = u + Parameters::DT *Ex; } // The final half-step. x -= Parameters::DT*u; - c = E_coeffs + n*stride_t; - Ex = -eval<1>(x, c); + Ex = -eval(x, poisson); u += 0.5*Parameters::DT*Ex; return f0(x,u); @@ -92,7 +77,7 @@ double NuFISolver::eval_f(unsigned int n, double NuFISolver::eval_rho(const unsigned int n, const double x, - const double *E_coeffs, + const PoissonProblem<1> &poisson, const unsigned int Nv) const { const double dv = (Parameters::V_DOMAIN_RIGHT - Parameters::V_DOMAIN_LEFT) / Nv; @@ -102,7 +87,7 @@ double NuFISolver::eval_rho(const unsigned int n, #pragma omp parallel for reduction (+ : integral) for (unsigned int i = 0; i < Nv; ++i) - integral += eval_ftilda(n, x, v_min + i * dv, E_coeffs); + integral += eval_ftilda(n, x, v_min + i * dv, poisson); return 1.0 - integral*dv; } @@ -114,9 +99,6 @@ void NuFISolver::run() using std::abs; using std::max; - const size_t stride_t = Nx + order - 1; - - std::unique_ptr coeffs { new double[ Nt*stride_t ] {} }; std::unique_ptr rho { reinterpret_cast(std::aligned_alloc(64,sizeof(double)*Nx)), std::free }; std::vector int_E_squared; @@ -138,13 +120,13 @@ void NuFISolver::run() // compute rho - double dx = Parameters::SPLINE_DX; + double dx = Parameters::CALC_DX; #pragma omp parallel for for(size_t i = 0; i(current_coeffs, sampled_potential.data()); - std::vector E_x(Nx,0.0) ; #pragma omp parallel for for(size_t ix=0; ix(Parameters::X_DOMAIN_LEFT+ix*dx, current_coeffs); + E_x[ix] = -eval(Parameters::X_DOMAIN_LEFT+ix*dx, poisson); } double timer_elapsed = timer.elapsed(); @@ -183,12 +162,12 @@ void NuFISolver::run() if (it % Parameters::PLOT_FREQUENCY == 0) { std::cout << "Saving results... "; - save_f(*this, it, coeffs.get(), Parameters::SPLINE_NX, Parameters::NV, "results/ftilda_" + std::to_string(it) + ".dat"); - save_rho(*this, it, coeffs.get(), Parameters::SPLINE_NX, "results/rho_" + std::to_string(it) + ".dat"); + save_f(*this, it, poisson, Parameters::PLOT_NX, Parameters::NV, "results/ftilda_" + std::to_string(it) + ".dat"); + save_rho(*this, it, poisson, Parameters::PLOT_NX, "results/rho_" + std::to_string(it) + ".dat"); // save_Efield(it, coeffs.get(), 128, "results/field_" + std::to_string(it) + ".dat"); save_space_vector(E_x, "field", it); - double int_val = 0.5 * integral_space_vector_squared(current_coeffs); + double int_val = 0.5 * integral_space_vector_squared(poisson); int_E_squared.push_back(int_val); save_space_vector(int_E_squared, "electricint", it); std::cout << "Time since start = "<< total_time<<"\n\n"; diff --git a/src/save_results.cc b/src/save_results.cc index 8c6d063..6d1b31d 100644 --- a/src/save_results.cc +++ b/src/save_results.cc @@ -6,11 +6,13 @@ #include #include #include "nufi/nufi_solver.h" +#include "nufi/poisson_problem.h" +#include "nufi/fields.h" void save_f( const NuFISolver &solver, unsigned int n, - const double *E_coeffs, + const PoissonProblem<1> &poisson, unsigned int Nx_out, unsigned int Nv_out, const std::string &filename) @@ -38,7 +40,7 @@ void save_f( const NuFISolver &solver, { double v = vmin + (j + 0.5)*dv; - double val = solver.eval_f(n, x, v, E_coeffs); + double val = solver.eval_f(n, x, v, poisson); file << val; @@ -54,7 +56,7 @@ void save_f( const NuFISolver &solver, void save_rho(const NuFISolver &solver, unsigned int n, - const double *E_coeffs, + const PoissonProblem<1> &poisson, unsigned int Nx_out, const std::string &filename) { @@ -69,15 +71,15 @@ void save_rho(const NuFISolver &solver, for (unsigned int i = 0; i < Nx_out; ++i, xmin += dx) { - double val = solver.eval_rho(n, xmin, E_coeffs); + double val = solver.eval_rho(n, xmin, poisson); file << val; file << "\n"; } file.close(); } -void save_Efield(unsigned int n, - const double *E_coeffs, +void save_Efield([[maybe_unused]]unsigned int n, + const PoissonProblem<1> &poisson, unsigned int Nx_out, const std::string &filename) { @@ -88,17 +90,13 @@ void save_Efield(unsigned int n, double dx = (xmax - xmin) / Nx_out; // select from E_coeffs - const size_t stride_x = 1; - const size_t stride_t = stride_x*(Parameters::SPLINE_NX + Parameters::SPLINE_ORDER - 1); - const double *c; - c = E_coeffs + n*stride_t; file << Nx_out << "\n"; file << xmin << " " << xmax << "\n"; for (unsigned int i = 0; i < Nx_out; ++i, xmin += dx) { - double val = -eval<1>(xmin, c); + double val = -eval(xmin, poisson); file << val; file << "\n"; }

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