Compare commits
17 Commits
coryab/imp
...
coryab/imp
| Author | SHA1 | Date | |
|---|---|---|---|
| e17da401ec | |||
| b5acec572f | |||
| aef5c4ee45 | |||
| 8b3ef4dfbb | |||
| 9ff96544d4 | |||
| ad2865c3a2 | |||
| 0e82f8cac1 | |||
| 8a2100a334 | |||
| a24635ede0 | |||
| 709d0c5411 | |||
| b1b7c1fdd0 | |||
| 21b94acbd8 | |||
| 6307256edc | |||
| 07197c1902 | |||
| 6112e36c22 | |||
| 0b8b5f88a6 | |||
| 9bf313ef02 |
10
.clang-format
Normal file
10
.clang-format
Normal file
@@ -0,0 +1,10 @@
|
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UseTab: Never
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IndentWidth: 4
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TabWidth: 4
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AccessModifierOffset: -4
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IndentAccessModifiers: false
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||||
AllowShortFunctionsOnASingleLine: false
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BreakBeforeBraces: Custom
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BraceWrapping:
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AfterFunction: true
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BeforeElse: true
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BIN
images/100_particles.gif
Normal file
BIN
images/100_particles.gif
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 1.4 MiB |
@@ -13,9 +13,13 @@
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#define __PENNING_TRAP__
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#include <armadillo>
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#include <omp.h>
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#include "constants.hpp"
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#include "Particle.hpp"
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#include "constants.hpp"
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#pragma omp declare reduction( + : arma::vec : omp_out += omp_in ) \
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initializer( omp_priv = omp_orig )
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/** @brief A class that simulates a Penning trap.
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*
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@@ -15,15 +15,16 @@
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#ifndef __UTILS__
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#define __UTILS__
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#include <string>
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#include <vector>
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#include <armadillo>
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#include <iomanip>
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#include <sstream>
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#include <string>
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#include <vector>
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/** @def DEBUG(msg)
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* @brief Writes a debug message
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*
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* This function writes a debug message that includes the filename,
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* This macro writes a debug message that includes the filename,
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* line number, and a custom message. The function is wrapped in an ifdef
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* that checks if DBG is defined, so one can choose to display the debug
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* messages by adding the -DDBG flag when compiling.
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@@ -35,6 +36,18 @@
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#define DEBUG(msg)
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#endif
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/** @def ASSERT(expr)
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* @brief A prettier assertion function.
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*
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* This macro calls the m_assert function which is a more informative
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* assertion function than the regular assert function from cassert.
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* */
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#define ASSERT(expr, msg) m_assert(expr, #expr, __METHOD_NAME__, __FILE__, \
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__LINE__, msg)
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#define __METHOD_NAME__ methodName(__PRETTY_FUNCTION__)
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/** Code stolen from https://github.com/anderkve/FYS3150
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* Header: https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/include/utils.hpp
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* Source: https://github.com/anderkve/FYS3150/blob/master/code_examples/compilation_linking/example_1/src/utils.cpp
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@@ -62,4 +75,47 @@ std::string scientific_format(const std::vector<double>& v,
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int width=20,
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int prec=10);
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/** @brief Test an expression, confirm that test is ok, or abort execution.
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*
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* This function takes in an expression and prints an OK message if it's
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* true, or it prints a fail message and aborts execution if it fails.
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*
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* @param expr The expression to be evaluated
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* @param expr_str The stringified version of the expression
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* @param func The function name of the caller
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* @param file The file of the caller
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* @param line The line number where this function is called from
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* @param msg The message to be displayed
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* */
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void m_assert(bool expr,
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std::string expr_str,
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std::string func,
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std::string file,
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int line,
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std::string msg);
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/** @brief Test if two armadillo vectors are close to each other.
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*
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* This function takes in 2 vectors and checks if they are approximately
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* equal to each other given a tolerance.
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*
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* @param a Vector a
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* @param b Vector b
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* @param tol The tolerance
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*
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* @return Boolean
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* */
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bool arma_vector_close_to(arma::vec &a, arma::vec &b, double tol=1e-8);
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static inline std::string methodName(const std::string& prettyFunction)
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{
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size_t colons = prettyFunction.find("::");
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size_t begin = prettyFunction.substr(0,colons).rfind(" ") + 1;
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size_t end = prettyFunction.rfind("(") - begin;
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return prettyFunction.substr(begin,end) + "()";
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}
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#endif
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@@ -27,7 +27,7 @@ all: test_suite main
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main: main.o $(LIBOBJS) $(CLASSOBJS)
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$(CC) $^ -o $@ $(CFLAGS) $(DBGFLAG) -I$(INCLUDE) $(OPENMP)
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test_suite: test_suite.o $(LIBOBJS)
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test_suite: test_suite.o $(LIBOBJS) $(CLASSOBJS)
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$(CC) $^ -o $@ $(CFLAGS) $(DBGFLAG) -I$(INCLUDE) $(OPENMP)
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# Rule for object files
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@@ -13,15 +13,9 @@
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* @todo Implement evolve_forward_euler
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* */
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#include "utils.hpp"
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#include "PenningTrap.hpp"
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#include "constants.hpp"
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#include <algorithm>
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#include <stdexcept>
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#include <omp.h>
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#pragma omp declare reduction( + : arma::vec : omp_out += omp_in ) \
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initializer( omp_priv = omp_orig )
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#include "utils.hpp"
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PenningTrap::PenningTrap(double B_0, double V_0, double d)
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{
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@@ -38,20 +32,17 @@ void PenningTrap::add_particle(Particle particle)
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arma::vec PenningTrap::external_E_field(arma::vec r)
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{
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arma::vec::fixed<3> res;
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double f = this->V_0/(this->d*this->d);
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double f = this->V_0 / (this->d * this->d);
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res(0) = r(0);
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res(1) = r(1);
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res(2) = -2.*r(2);
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res(2) = -2. * r(2);
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return f*res;
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return f * res;
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}
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arma::vec PenningTrap::external_B_field(arma::vec r)
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{
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arma::vec::fixed<3> res;
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res(0) = 0.;
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res(1) = 0.;
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res(2) = this->B_0;
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arma::vec::fixed<3> res{0., 0., this->B_0};
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return res;
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}
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@@ -59,14 +50,14 @@ arma::vec PenningTrap::external_B_field(arma::vec r)
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arma::vec PenningTrap::force_on_particle(int i, int j)
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{
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// Calculate the difference between the particles' position
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arma::vec::fixed<3> res = this->particles.at(i).r_vec
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- this->particles.at(j).r_vec;
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arma::vec::fixed<3> res =
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this->particles.at(i).r_vec - this->particles.at(j).r_vec;
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// Get the distance between the particles
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double norm = arma::norm(res);
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// Multiply res with p_j's charge divided by the norm cubed
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res *= this->particles.at(j).q/(norm*norm*norm);
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res *= this->particles.at(j).q / (norm * norm * norm);
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return res;
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}
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@@ -75,16 +66,13 @@ arma::vec PenningTrap::total_force_external(int i)
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{
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Particle p = this->particles.at(i);
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arma::vec::fixed<3> v_cross_B;
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arma::vec::fixed<3> B = this->external_B_field(p.r_vec);
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v_cross_B(0) = p.v_vec(1)*B(2) - p.v_vec(2)*B(1);
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v_cross_B(1) = p.v_vec(2)*B(0) - p.v_vec(0)*B(2);
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v_cross_B(2) = p.v_vec(0)*B(1) - p.v_vec(1)*B(0);
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arma::vec::fixed<3> v_cross_B{p.v_vec(1) * B(2) - p.v_vec(2) * B(1),
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p.v_vec(2) * B(0) - p.v_vec(0) * B(2),
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p.v_vec(0) * B(1) - p.v_vec(1) * B(0)};
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arma::vec force = p.q
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*(this->external_E_field(p.r_vec) + v_cross_B);
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arma::vec force = p.q * (this->external_E_field(p.r_vec) + v_cross_B);
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return force;
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}
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@@ -95,7 +83,7 @@ arma::vec PenningTrap::total_force_particles(int i)
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arma::vec res(3);
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for (int j=0; j < this->particles.size(); j++) {
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for (int j = 0; j < this->particles.size(); j++) {
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if (i == j) {
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continue;
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}
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@@ -103,7 +91,7 @@ arma::vec PenningTrap::total_force_particles(int i)
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res += this->force_on_particle(i, j);
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}
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res *= K_E*(p.q/p.m);
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res *= K_E * (p.q / p.m);
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return res;
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}
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@@ -115,7 +103,65 @@ arma::vec PenningTrap::total_force(int i)
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void PenningTrap::evolve_RK4(double dt)
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{
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std::vector<Particle> tmp_particles = this->particles;
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arma::vec::fixed<3> *k_v = new arma::vec::fixed<3>[this->particles.size()*4];
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arma::vec::fixed<3> *k_r = new arma::vec::fixed<3>[this->particles.size()*4];
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int size = this->particles.size();
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for (int i=0; i<size; i++) {
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k_v[i] = this->total_force(i)/this->particles.at(i).m;
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k_r[i] = this->particles.at(i).v_vec;
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}
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for (int i=0; i<size; i++) {
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Particle *p = &this->particles.at(i);
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p->v_vec = tmp_particles.at(i).v_vec + (dt/2)*k_v[i];
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p->r_vec = tmp_particles.at(i).r_vec + (dt/2)*k_r[i];
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}
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for (int i=0; i<size; i++) {
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k_v[1*size + i] = this->total_force(i)/this->particles.at(i).m;
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k_r[1*size + i] = this->particles.at(i).v_vec;
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}
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for (int i=0; i<size; i++) {
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Particle *p = &this->particles.at(i);
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p->v_vec = tmp_particles.at(i).v_vec + (dt/2)*k_v[1*size + i];
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p->r_vec = tmp_particles.at(i).r_vec + (dt/2)*k_r[1*size + i];
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}
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for (int i=0; i<size; i++) {
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k_v[2*size + i] = this->total_force(i)/this->particles.at(i).m;
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k_r[2*size + i] = this->particles.at(i).v_vec;
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}
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for (int i=0; i<size; i++) {
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Particle *p = &this->particles.at(i);
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p->v_vec = tmp_particles.at(i).v_vec + dt*k_v[2*size + i];
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p->r_vec = tmp_particles.at(i).r_vec + dt*k_r[2*size + i];
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}
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for (int i=0; i<size; i++) {
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k_v[3*size + i] = this->total_force(i)/this->particles.at(i).m;
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k_r[3*size + i] = this->particles.at(i).v_vec;
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}
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|
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for (int i=0; i<size; i++) {
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Particle *p = &this->particles.at(i);
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p->v_vec = tmp_particles.at(i).v_vec + dt*(k_v[i] + k_v[size + i] + k_v[2*size + i] + k_v[3*size + i])/6;
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p->r_vec = tmp_particles.at(i).r_vec + dt*(k_r[i] + k_r[size + i] + k_r[2*size + i] + k_r[3*size + i])/6;
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}
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delete [] k_v;
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delete [] k_r;
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}
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void PenningTrap::evolve_forward_euler(double dt)
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@@ -124,11 +170,11 @@ void PenningTrap::evolve_forward_euler(double dt)
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Particle *p;
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#pragma omp parallel for private(p)
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for (int i=0; i < this->particles.size(); i++) {
|
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#pragma omp parallel for private(p)
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for (int i = 0; i < this->particles.size(); i++) {
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p = &new_state.at(i);
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p->v_vec += dt*this->total_force(i)/new_state.at(i).m;
|
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p->r_vec += dt*this->particles.at(i).v_vec;
|
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p->v_vec += dt * this->total_force(i) / new_state.at(i).m;
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p->r_vec += dt * this->particles.at(i).v_vec;
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}
|
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|
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this->particles = new_state;
|
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|
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@@ -7,11 +7,11 @@ def get_data(files):
|
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res = []
|
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for file in files:
|
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arr = [[], [], []]
|
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with open(file) as f:
|
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with open(file, encoding="utf8") as f:
|
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lines = f.readlines()
|
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|
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for line in lines:
|
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xi,yi,zi = map(lambda x: float(x), line.strip().split(","))
|
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xi,yi,zi = map(float, line.strip().split(","))
|
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arr[0].append(xi)
|
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arr[1].append(yi)
|
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arr[2].append(zi)
|
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@@ -27,11 +27,12 @@ def update(num, lines, arr):
|
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|
||||
|
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def animate():
|
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plt.style.use("dark_background")
|
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fig = plt.figure()
|
||||
ax = fig.add_subplot(projection="3d")
|
||||
|
||||
|
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arr = get_data([f"output/p{i}.txt" for i in range(100)])
|
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arr = get_data([f"output/p{i}_RK4.txt" for i in range(100)])
|
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|
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arr = arr[:,:,::10]
|
||||
|
||||
@@ -53,7 +54,7 @@ def animate():
|
||||
blit=False)
|
||||
|
||||
|
||||
# ani.save("100_particles.gif", writer=animation.FFMpegFileWriter(fps=30))
|
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ani.save("100_particles.gif", writer=animation.FFMpegFileWriter(fps=30))
|
||||
plt.show()
|
||||
|
||||
|
||||
42
src/main.cpp
42
src/main.cpp
@@ -10,9 +10,7 @@
|
||||
* @bug No known bugs
|
||||
* */
|
||||
|
||||
#include <filesystem>
|
||||
#include <fstream>
|
||||
#include <string>
|
||||
#include <omp.h>
|
||||
#include <sys/stat.h>
|
||||
|
||||
@@ -23,52 +21,54 @@
|
||||
#define CHARGE 1.
|
||||
#define MASS 40. // unit: amu
|
||||
|
||||
void euler_100_particles()
|
||||
void simulate_100_particles()
|
||||
{
|
||||
PenningTrap trap;
|
||||
|
||||
// Add particles inside trap
|
||||
for (int i=0; i < PARTICLES; i++) {
|
||||
arma::vec r = arma::vec(3).randn() * 0.1 * trap.get_d(); // random initial position
|
||||
arma::vec v = arma::vec(3).randn() * 0.1 * trap.get_d(); // random initial velocity
|
||||
for (int i = 0; i < PARTICLES; i++) {
|
||||
arma::vec r = arma::vec(3).randn() * 0.1 *
|
||||
trap.get_d(); // random initial position
|
||||
arma::vec v = arma::vec(3).randn() * 0.1 *
|
||||
trap.get_d(); // random initial velocity
|
||||
trap.add_particle(Particle(CHARGE, MASS, r, v));
|
||||
}
|
||||
|
||||
double time = 50.; // microseconds
|
||||
double dt = time / (double) N;
|
||||
double dt = time / (double)N;
|
||||
|
||||
auto res = new arma::vec::fixed<3>[PARTICLES][N];
|
||||
|
||||
int counter = 0;
|
||||
|
||||
// Get the path of all particles
|
||||
for (int j=0; j < N; j++) {
|
||||
#pragma omp parallel for
|
||||
for (int i=0; i < PARTICLES; i++) {
|
||||
for (int j = 0; j < N; j++) {
|
||||
#pragma omp parallel for
|
||||
for (int i = 0; i < PARTICLES; i++) {
|
||||
res[i][j] = trap.get_particle(i);
|
||||
}
|
||||
trap.evolve_forward_euler(dt);
|
||||
trap.evolve_RK4(dt);
|
||||
}
|
||||
|
||||
std::cout << counter << std::endl;
|
||||
|
||||
arma::vec::fixed<3>* cur_row;
|
||||
arma::vec::fixed<3> *cur_row;
|
||||
arma::vec::fixed<3> cur_elem;
|
||||
|
||||
mkdir("output", 0777);
|
||||
mkdir("output/simulate_100_particles", 0777);
|
||||
|
||||
std::ofstream ofile;
|
||||
|
||||
// Write particle paths to file
|
||||
#pragma omp parallel for private(cur_row, cur_elem, ofile)
|
||||
for (int i=0; i < PARTICLES; i++) {
|
||||
// Write particle paths to file
|
||||
#pragma omp parallel for private(cur_row, cur_elem, ofile)
|
||||
for (int i = 0; i < PARTICLES; i++) {
|
||||
cur_row = res[i];
|
||||
ofile.open("output/p" + std::to_string(i) + ".txt");
|
||||
for (int j=0; j < N; j++) {
|
||||
ofile.open("output/simulate_100_particles/p" + std::to_string(i) + ".txt");
|
||||
for (int j = 0; j < N; j++) {
|
||||
cur_elem = cur_row[j];
|
||||
ofile << cur_elem(0) << ","
|
||||
<< cur_elem(1) << ","
|
||||
<< cur_elem(2) << "\n";
|
||||
ofile << cur_elem(0) << "," << cur_elem(1) << "," << cur_elem(2)
|
||||
<< "\n";
|
||||
}
|
||||
ofile.close();
|
||||
}
|
||||
@@ -78,7 +78,7 @@ int main()
|
||||
{
|
||||
double start = omp_get_wtime();
|
||||
|
||||
euler_100_particles();
|
||||
simulate_100_particles();
|
||||
|
||||
double end = omp_get_wtime();
|
||||
|
||||
|
||||
@@ -9,7 +9,135 @@
|
||||
*
|
||||
* @bug No known bugs
|
||||
* */
|
||||
int main()
|
||||
|
||||
#include "PenningTrap.hpp"
|
||||
#include "utils.hpp"
|
||||
|
||||
#include <iomanip>
|
||||
#include <sstream>
|
||||
#include <string>
|
||||
|
||||
class PenningTrapTest {
|
||||
public:
|
||||
static void test_external_E_field()
|
||||
{
|
||||
PenningTrap trap;
|
||||
|
||||
// Vector containing inputs and expected results
|
||||
std::vector<std::pair<arma::vec, arma::vec>> tests;
|
||||
|
||||
tests.push_back(
|
||||
std::make_pair(arma::vec{0., 0., 0.}, arma::vec{0., 0., 0.}));
|
||||
|
||||
tests.push_back(std::make_pair(arma::vec{10., 0., 0.},
|
||||
arma::vec{96.4852558, 0., 0.}));
|
||||
|
||||
tests.push_back(std::make_pair(arma::vec{10., 0., 0.},
|
||||
arma::vec{96.4852558, 0., 0.}));
|
||||
|
||||
tests.push_back(std::make_pair(arma::vec{0., 10., 0.},
|
||||
arma::vec{0., 96.4852558, 0.}));
|
||||
|
||||
tests.push_back(std::make_pair(arma::vec{0., 0., 10.},
|
||||
arma::vec{0., 0., -192.9705116}));
|
||||
|
||||
arma::vec result;
|
||||
arma::vec v;
|
||||
std::stringstream msg;
|
||||
for (int i = 0; i < tests.size(); i++) {
|
||||
v = tests.at(i).first;
|
||||
result = trap.external_E_field(v);
|
||||
|
||||
msg.str("");
|
||||
msg << "Testing the external E field at (" << std::setprecision(2)
|
||||
<< v(0) << "," << v(1) << "," << v(2) << ").";
|
||||
|
||||
ASSERT(arma_vector_close_to(result, tests.at(i).second), msg.str());
|
||||
}
|
||||
}
|
||||
|
||||
static void test_external_B_field()
|
||||
{
|
||||
// No point in testing at different points since it's not dependent
|
||||
// on position.
|
||||
PenningTrap trap;
|
||||
arma::vec expected{0., 0., T};
|
||||
arma::vec result = trap.external_B_field(arma::vec{0., 0., 0.});
|
||||
ASSERT(arma_vector_close_to(expected, result),
|
||||
"Testing the external B field at (0,0,0)");
|
||||
}
|
||||
|
||||
static void test_force_on_particle()
|
||||
{
|
||||
PenningTrap trap;
|
||||
arma::vec v{0., 0., 0.};
|
||||
|
||||
// Add particles to test
|
||||
trap.add_particle(Particle(1., 40., arma::vec{0., 0., 0.}, v));
|
||||
trap.add_particle(Particle(1., 40., arma::vec{1., 0., 0.}, v));
|
||||
trap.add_particle(Particle(1., 40., arma::vec{0., 3., 4.}, v));
|
||||
|
||||
// Test p0 and p1
|
||||
arma::vec expected{-1., 0., 0.};
|
||||
arma::vec result = trap.force_on_particle(0, 1);
|
||||
ASSERT(arma_vector_close_to(expected, result),
|
||||
"Testing the force on a particle at (0,0,0) from a "
|
||||
"particle at (1,0,0).");
|
||||
|
||||
// Test p0 and p2
|
||||
expected = arma::vec{0, -.024, -.032};
|
||||
result = trap.force_on_particle(0, 2);
|
||||
ASSERT(arma_vector_close_to(expected, result),
|
||||
"Testing the force on a particle at (0,0,0) from a "
|
||||
"particle at (0,3,4).");
|
||||
}
|
||||
|
||||
static void test_total_force_external()
|
||||
{
|
||||
PenningTrap trap;
|
||||
trap.add_particle(
|
||||
Particle(1., 40., arma::vec{1., 2., 3.}, arma::vec{3., 4., 5.}));
|
||||
|
||||
arma::vec expected{395.58954878, -270.15871624, -57.89115348};
|
||||
arma::vec result = trap.total_force_external(0);
|
||||
ASSERT(arma_vector_close_to(expected, result),
|
||||
"Testing the total external force on a particle at "
|
||||
"(1,2,3) with velocity (3,4,5)");
|
||||
}
|
||||
|
||||
static void test_total_force_particles()
|
||||
{
|
||||
PenningTrap trap;
|
||||
trap.add_particle(
|
||||
Particle(1., 40., arma::vec{0., 0., 0.}, arma::vec{0., 0., 0.}));
|
||||
|
||||
arma::vec expected{0., 0., 0.};
|
||||
arma::vec result = trap.total_force_particles(0);
|
||||
ASSERT(arma_vector_close_to(expected, result),
|
||||
"Testing the total force of all particles on particle 0 "
|
||||
"with only a single particle");
|
||||
|
||||
trap.add_particle(
|
||||
Particle(1., 40., arma::vec{1., 0., 0.}, arma::vec{0., 0., 0.}));
|
||||
trap.add_particle(
|
||||
Particle(1., 40., arma::vec{0., 1., 0.}, arma::vec{0., 0., 0.}));
|
||||
trap.add_particle(
|
||||
Particle(1., 40., arma::vec{0., 0., 1.}, arma::vec{0., 0., 0.}));
|
||||
|
||||
expected = arma::vec(3, arma::fill::value(-3473.383325));
|
||||
result = trap.total_force_particles(0);
|
||||
ASSERT(arma_vector_close_to(expected, result),
|
||||
"Testing the total force of all particles on particle 0 "
|
||||
"with 3 other particles.");
|
||||
}
|
||||
};
|
||||
|
||||
int main()
|
||||
{
|
||||
PenningTrapTest::test_external_E_field();
|
||||
PenningTrapTest::test_external_B_field();
|
||||
PenningTrapTest::test_force_on_particle();
|
||||
PenningTrapTest::test_total_force_external();
|
||||
PenningTrapTest::test_total_force_particles();
|
||||
return 0;
|
||||
}
|
||||
|
||||
@@ -18,11 +18,54 @@ std::string scientific_format(double d, int width, int prec)
|
||||
return ss.str();
|
||||
}
|
||||
|
||||
std::string scientific_format(const std::vector<double>& v, int width, int prec)
|
||||
std::string scientific_format(const std::vector<double> &v, int width, int prec)
|
||||
{
|
||||
std::stringstream ss;
|
||||
for(double elem : v) {
|
||||
for (double elem : v) {
|
||||
ss << scientific_format(elem, width, prec);
|
||||
}
|
||||
return ss.str();
|
||||
}
|
||||
|
||||
static void print_message(std::string msg)
|
||||
{
|
||||
if (msg.size() > 0) {
|
||||
std::cout << "message: " << msg << "\n\n";
|
||||
}
|
||||
else {
|
||||
std::cout << "\n";
|
||||
}
|
||||
}
|
||||
|
||||
void m_assert(bool expr, std::string expr_str, std::string f, std::string file,
|
||||
int line, std::string msg)
|
||||
{
|
||||
std::string new_assert(f.size() + (expr ? 4 : 6), '-');
|
||||
std::cout << "\x1B[36m" << new_assert << "\033[0m\n";
|
||||
std::cout << f << ": ";
|
||||
if (expr) {
|
||||
std::cout << "\x1B[32mOK\033[0m\n";
|
||||
print_message(msg);
|
||||
}
|
||||
else {
|
||||
std::cout << "\x1B[31mFAIL\033[0m\n";
|
||||
print_message(msg);
|
||||
std::cout << file << " " << line << ": Assertion \"" << expr_str
|
||||
<< "\" Failed\n\n";
|
||||
abort();
|
||||
}
|
||||
}
|
||||
|
||||
bool arma_vector_close_to(arma::vec &a, arma::vec &b, double tol)
|
||||
{
|
||||
if (a.n_elem != b.n_elem) {
|
||||
return false;
|
||||
}
|
||||
|
||||
for (int i = 0; i < a.n_elem; i++) {
|
||||
if (std::abs(a(i) - b(i)) >= tol) {
|
||||
return false;
|
||||
}
|
||||
}
|
||||
return true;
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user