donaldmunro

clear_vars
reset()
%display latex

u,v,w,T = SR.var('x y z t')
E_x,E_y,E_z  = function('Ex'),function('Ey'), function('Ez')
B_x,B_y,B_z  = function('Bx'),function('By'), function('Bz')
M.<t, x, y, z> = manifolds.Minkowski(positive_spacelike=False)
F = M.diff_form(2, name='F')

donaldmunro

clear_vars
reset()
%display latex
R3 = Manifold(3, 'R^3', start_index=1)
X.<x,y,z> = R3.chart()
g = R3.metric('g')
g[1,1], g[2,2], g[3,3] = 1, 1, 1

#R2 = Manifold(2, 'R^2', ambient=R3, start_index=1)

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#ifndef _BOUNDED_MAP_H
#define _BOUNDED_MAP_H

#include <iostream>
#include <map>
#include <vector>
#include  <utility>

/**
 * A wrapped std::multimap which limits size by removing the smallest keys first.

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# Using javah to generate .h files for Kotlin
# Assuming JNI function calls are in MainActivity.companion
STUDIO=/opt/android-studio
PACKAGE=my.package
$STUDIO/jre/bin/javah -jni -cp "$STUDIO/lib/kotlin-runtime.jar:build/tmp/kotlin-classes/debug" $PACKAGE.MainActivity.Companion

donaldmunro

Compiling Boost for Android

1. Download Boost and cd to base directory.

2. Create Android toolchains for desired architectures by running a script as below:

   NDK=/opt/android-sdk/ndk-bundle/
   TOOLCHAINS="$PWD/toolchains/"

rm -rf $TOOLCHAINS

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#include <glm/gtc/type_ptr.hpp>
..
glm::mat4 m = glm::mat4(1.0f);
..
auto p = glm::value_ptr(m);
std::cout << sizeof(p) << std::endl;
glUniformMatrix4fv(shader_uniform_m, 1, GL_FALSE, p);

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#include <glm/gtx/string_cast.hpp>
..
..
glm::mat4 mat;
..
..
std::cout << glm::to_string(mat) << std::endl;

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size_t split(std::string s, std::vector<std::string>& tokens,
             std::string delim ="\t\n ")
{
   tokens.clear();
   size_t pos = s.find_first_not_of(delim);
   while (pos != std::string::npos)
   {
      size_t next = s.find_first_of(delim, pos);
      if (pos == std::string::npos)
         tokens.emplace_back(s.substr(pos));

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#include <eigen3/Eigen/Dense>
#include <eigen3/Eigen/Eigenvalues>
..
..
using RowMatrixXf = Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor>;
Eigen::Map<RowMatrixXf> mapped(extended_homograpy.ptr<float>(), homography.rows, homography.cols);
Eigen::EigenSolver<Eigen::MatrixXf> eigen_solve(mapped, true);
auto ev = eigen_solve.eigenvectors();
std::cout << "No of EigenVectors = " << ev.cols() << std::endl;
for (auto i=0; i<ev.cols(); i++)

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/*
 Copyright (c) 2016, Donald Munro

Permission to use, copy, modify, and/or distribute this software for any
purpose with or without fee is hereby granted, provided that the above
copyright notice and this permission notice appear in all copies.

THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR