{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Example of geodesic integration on multiple charts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example illustrate the use of the function ``solve_across_char`` to integrate a geodesic of the euclidean plane (a straight line) in polar coordinates. \n", "\n", "In pure polar coordinates $(r, \\theta)$, artefacts can appear near the origin because of the fast variation of $\\theta$, resulting in the direction of the geodesic being different before and after getting close to the origin.\n", "\n", "The solution to this problem is to switch to cartesian coordiantes near $(0,0)$ to avoid any singularity." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%display latex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Manifold declaration\n", "\n", "First let's declare the plane as a 2-dimensional manifold, with two charts $P$ and $C$ (for \"Polar\" and \"Cartesian\") and their transition maps." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "M = Manifold(2, 'M', structure=\"Riemannian\")\n", "\n", "C. = M.chart()\n", "P. = M.chart()\n", "\n", "P_to_C = P.transition_map(C,(r*cos(th), r*sin(th)))\n", "C_to_P = C.transition_map(P,(sqrt(x**2+y**2), atan2(y,x)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's also Add restrictions on those charts, to avoid any singularity. We have to make sure that the charts still intersect. Here the intersection is the donut region $2 2)\n", "C.add_restrictions(x**2+y**2 < 3**2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We still have to define the metric. This is done in the cartesian frame. The metric in the polar frame is computed automatically." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "g = M.metric()\n", "\n", "g[C.frame(),0,0]=1\n", "g[C.frame(),1,1]=1" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "[ 1 0]\n", "[ 0 r^2]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g[P.frame(), : ,P]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To visualize our manifold, let's declare a mapping between every chart and the cartesian chart, and then plot each chart in term of this mapping:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "phi = M.diff_map(M, {(C,C): [x, y], (P,C): [r*cos(th), r*sin(th)]})" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 40 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = P.plot(number_values=9, chart=C, mapping=phi, color='grey', ranges= {r:(2, 6), th:(0,2*pi)})\n", "fig += C.plot(number_values=13, chart=C, mapping=phi, color='grey', ranges= {x:(-3, 3), y:(-3, 3)})\n", "fig.show(aspect_ratio=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that there is a clear non-empty intersection between the two charts. This is the key point to successfully switch chart during the integration. Indeed, at least 2 points must fall in the intersection." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Geodesic integration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's define the time as $t$, the initial point as $p$, and the initial velocity vector as $v$ (define as a member of the tangent space $T_p$). The chosen geodesic should enter the central region from the left and leave it to the right." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "t = var('t')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "p = M((5,pi+0.3), P)\n", "Tp = M.tangent_space(p)\n", "v = Tp((-1,-0.03), P.frame().at(p))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While creating the integrated geodesic, we need to specify the optional argument ``across_chart=True``, to prepare the compiled version of the changes of charts." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "c = M.integrated_geodesic(g, (t, 0, 10), v, across_charts=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The integration is done as usual, but using the method ``solve_across_chart`` instead of ``solve``. This forces the use of ``scipy.integrate.ode`` as the solver, because of event handling support.\n", "\n", "The argument``verbose=True`` will cause the solver to write a small message each time it is switching chart." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Performing numerical integration with method 'ode'.\n", "Integration will take place on the whole manifold domain.\n", "Resulting list of points will be associated with the key 'ode_multichart' by default.\n", " ...\n", "Exiting chart, trying to switch to another chart.\n", "New chart found. Resuming integration.\n", " ...\n", "Exiting chart, trying to switch to another chart.\n", "New chart found. Resuming integration.\n", " ...\n", "Integration successful\n" ] } ], "source": [ "sol = c.solve_across_charts(step=0.1, verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, two changes of chart occur.\n", "\n", "The returned solution is a list of couple (chart, solution), where each solution is given on a unique chart, and the last point of a solution is the first of the next.\n", "\n", "The following code prints the corresponding charts." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chart (M, (r, th))\n", "Chart (M, (x, y))\n", "Chart (M, (r, th))\n" ] } ], "source": [ "for chart, solution in sol:\n", " print chart" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The interpolation is done as usual:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "interp = c.interpolate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the result, you must first be sure that the mapping encompasses all charts, which is the case here (see cell 6).\n", "\n", "You must also specify ``across_charts=True`` in order to call ``plot_integrated`` again on each part.\n", "\n", "Finally, ``color`` can be a list, which will be cycled through. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "Graphics object consisting of 43 graphics primitives" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig += c.plot_integrated(mapping=phi, color=[\"green\",\"red\"], thickness=3, plot_points=100, across_charts=True)\n", "fig.show(aspect_ratio=1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "SageMath 8.3.rc1", "language": "", "name": "sagemath" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.15" } }, "nbformat": 4, "nbformat_minor": 2 }