{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Explanation : RKMK Solvers for Rotations in Exponential Coordinates\n", "\n", "This notebook distinguishes RKMK solvers from traditional RK solvers. The use of fixed-step solvers are illustrates for rotations in exponential coordinates.\n", "\n", "Kinematic equations governing changes in vehicle states are typically expressed as ordinary differential equations (ODEs). In this sense, navigators are simply numerical approaches to solving initial-value problems (IVPs) on the kinematic ODEs. For rotation groups, the governing ODEs depend on the choice of coordinates. In this tutorial we focus on exponential coordinates and the extension of Runge-Kutta (RK) methods - known as Runge-Kutta Munthe-Kaas (RKMK) methods - to solve the rotation IVP in exponential coordinates.\n", "\n", "\n", "```{contents} Table of Contents\n", ":depth: 3\n", "```" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import sys, os\n", "\n", "sys.path.insert(0, os.path.join(\"..\", \"..\", \"..\"))\n", "\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.integrate import solve_ivp as scipy_solve\n", "import matplotlib.pyplot as plt\n", "from typing import Callable\n", "from functools import partial\n", "\n", "# from hitman.lie import LieExponential.exp, LieExponential.log, LieExponential.J_l, LieExponential.hat, LieExponential.vee\n", "from hitman.rotation import LieExponential as SO\n", "from hitman.ode import (\n", " rk_fixed,\n", " rkmk_fixed,\n", " butcher_tableaux,\n", " verify_ivp_solve,\n", " bortz_equation,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving ODEs Using Runge Kutta Methods\n", "\n", "Before attacking differential equations on rotational groups, we first consider a simple time-invariant ODE. We illustrate the relationship between solver order & step size while demonstrating methods to quantify errors.\n", "\n", "### Solver Order and Butcher Tableaux\n", "\n", "Solver order affects solution accuracy, particularly as the step size increases. To illustrate the point, we define a dictionary of RK ODE solvers with varying order. Solver order is determined by the Butcher tableau {cite}`butcherNumericalMethodsOrdinary2016`. The dictionary is effectively a solver factory. The dictionary key indicates the tableau (solver order) and the value is a functional. Each functional implementation shares the same function syntax.\n", "\n", "We primarily focuse on fixed step-size solvers. However, for now we will include a variable step size solver {py:func}`scipy.integrate.solve_ivp` as an additional reference solution." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Create dictionary of ode solvers\n", "rk_solver_dict = {}\n", "tableau = [\"FwdElr\", \"ExpMid\", \"RK3\", \"RK4\", \"Variable\"]\n", "for tableau_ in tableau:\n", " # Define solver for this tableau\n", " def ivp_solve(ode, t, step_size, y_t, tableau=tableau_) -> np.ndarray:\n", " if tableau in butcher_tableaux:\n", "\n", " y = rk_fixed(ode, t, step_size, y_t, tableau=butcher_tableaux[tableau])\n", " else:\n", " # Unknown tableau, use scipy built-in solver (variable step-size)\n", " t_end = t + step_size\n", " rslt = scipy_solve(\n", " ode, np.array([t, t_end]), np.array([y_t]), t_eval=np.array([t_end])\n", " )\n", " y = rslt.y\n", "\n", " return y\n", "\n", " rk_solver_dict[tableau_] = ivp_solve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Quantifying Solver Perforformance\n", "\n", "We define one utility function to quantify solver performance and one to visualize results." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def quantify_solver(\n", " ode: Callable[[float, np.ndarray], np.ndarray],\n", " solution: Callable[[float], np.ndarray],\n", " solver_dict: dict,\n", " t: np.ndarray = np.random.uniform(0, 1, 10),\n", " step_size: np.ndarray = np.logspace(-8, -1, num=15),\n", ") -> pd.DataFrame:\n", " r\"\"\"Quantify solver performance\n", "\n", " Randomly sample solution in time and quantify solver error while varying step size\n", "\n", " Args:\n", " ode: Ordinary differential equation: $f(t,y) : \\mathbb{R} \\times\n", " \\mathbb{R}^n\\rightarrow\\mathbb{R}^n$\n", " solution: $y(t) : \\mathbb{R} \\rightarrow\\mathbb{R}^n$\n", " solver_dict: Dictionary of solvers to evaluate\n", " t : selection of start times over which to average results\n", " step_size : step sizes to evaluate\n", "\n", " Returns:\n", " Average error over step size for each solver\n", " \"\"\"\n", "\n", " # Initialize a dictionary to store average errors for each tableau\n", " errors_dict = {}\n", " for name, ivp_solve in solver_dict.items():\n", " # Compute average error for each step size\n", " err, _ = verify_ivp_solve(\n", " ode,\n", " solution,\n", " t,\n", " step_size,\n", " solver=ivp_solve,\n", " )\n", " errors_dict[name] = err\n", "\n", " return pd.DataFrame(errors_dict, index=step_size)\n", "\n", "\n", "def plot_solver_performance(df, title=\"ODE solver error for RK methods\"):\n", " # Plot the result\n", " for tableau_ in df.columns:\n", " plt.loglog(df.index, df[tableau_], label=tableau_)\n", " # Add labels and title\n", " plt.xlabel(\"Step Size (step_size)\")\n", " plt.ylabel(\"Average Error\")\n", " plt.title(title)\n", " plt.legend()\n", " plt.grid(True, which=\"both\", ls=\"--\")\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example Trajectory: Time-Invariant ODE\n", "Define an example ODE with known solution. In this case, the ODE is time-invariant\n", "\n", "$$ \\dot{y} = y $$\n", "\n", "with a solution\n", "\n", "$$ y(t) = C e^t $$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Define the ODE and solution\n", "class OdeExponential:\n", " def __init__(self, C: float = 0.1):\n", " self.C = C\n", "\n", " def sol(self, t):\n", " return self.C * np.exp(t)\n", "\n", " def ode(self, t, y):\n", " return y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our example ODE and solution can be used to quantify solver performance using the functions above." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ref_ode = OdeExponential()\n", "ode = ref_ode.ode\n", "solution = ref_ode.sol\n", "solver_dict = rk_solver_dict\n", "\n", "df = quantify_solver(ode, solution, solver_dict)\n", "plot_solver_performance(df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Binary Metrics for Unit Tests\n", "Considering a specific step size (1e-2 in this case), we should see a significant difference between solver accuracy with order. Additionally, error should be small for the highest order solver (RK4)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
FwdElrExpMidRK3RK4Variable
-8.01.387779e-178.326673e-188.326673e-188.326673e-188.326673e-18
-7.58.881784e-174.163336e-184.163336e-184.163336e-186.938894e-18
-7.08.257284e-165.551115e-185.551115e-185.551115e-185.551115e-18
-6.58.291978e-158.326673e-188.326673e-188.326673e-189.714451e-18
-6.08.297391e-141.110223e-171.110223e-171.110223e-178.326673e-18
-5.58.297141e-131.526557e-171.387779e-171.387779e-171.387779e-17
-5.08.297057e-122.636780e-171.110223e-171.110223e-171.110223e-17
-4.58.297118e-118.798517e-161.249001e-171.249001e-179.714451e-18
-4.08.297307e-102.765843e-146.938894e-186.938894e-186.938894e-18
-3.58.297905e-098.746573e-137.216450e-174.163336e-186.938894e-18
-3.08.299796e-082.766369e-116.919465e-151.387779e-171.110223e-17
-2.58.305783e-078.752756e-106.918618e-134.427014e-161.387779e-17
-2.08.324756e-062.772605e-086.928043e-111.385100e-134.163336e-17
-1.58.385184e-058.815419e-076.958152e-094.396070e-114.505007e-14
-1.08.580652e-042.836225e-057.054814e-071.406219e-084.276052e-11
\n", "
" ], "text/plain": [ " FwdElr ExpMid RK3 RK4 Variable\n", "-8.0 1.387779e-17 8.326673e-18 8.326673e-18 8.326673e-18 8.326673e-18\n", "-7.5 8.881784e-17 4.163336e-18 4.163336e-18 4.163336e-18 6.938894e-18\n", "-7.0 8.257284e-16 5.551115e-18 5.551115e-18 5.551115e-18 5.551115e-18\n", "-6.5 8.291978e-15 8.326673e-18 8.326673e-18 8.326673e-18 9.714451e-18\n", "-6.0 8.297391e-14 1.110223e-17 1.110223e-17 1.110223e-17 8.326673e-18\n", "-5.5 8.297141e-13 1.526557e-17 1.387779e-17 1.387779e-17 1.387779e-17\n", "-5.0 8.297057e-12 2.636780e-17 1.110223e-17 1.110223e-17 1.110223e-17\n", "-4.5 8.297118e-11 8.798517e-16 1.249001e-17 1.249001e-17 9.714451e-18\n", "-4.0 8.297307e-10 2.765843e-14 6.938894e-18 6.938894e-18 6.938894e-18\n", "-3.5 8.297905e-09 8.746573e-13 7.216450e-17 4.163336e-18 6.938894e-18\n", "-3.0 8.299796e-08 2.766369e-11 6.919465e-15 1.387779e-17 1.110223e-17\n", "-2.5 8.305783e-07 8.752756e-10 6.918618e-13 4.427014e-16 1.387779e-17\n", "-2.0 8.324756e-06 2.772605e-08 6.928043e-11 1.385100e-13 4.163336e-17\n", "-1.5 8.385184e-05 8.815419e-07 6.958152e-09 4.396070e-11 4.505007e-14\n", "-1.0 8.580652e-04 2.836225e-05 7.054814e-07 1.406219e-08 4.276052e-11" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Display the DataFrame with log10 of the index\n", "dfd = df.copy()\n", "dfd.index = np.log10(dfd.index)\n", "display(dfd)\n", "\n", "# Contrast performance at specific tau\n", "tau_pick = 1e-2\n", "tol = -2 # expected error magnitude reduction with step-size\n", "mask = df.index == tau_pick\n", "assert np.count_nonzero(mask) == 1, (\n", " \"Exactly one true value expected. %g is not a valid index\" % tau_pick\n", ")\n", "row = df.loc[mask]\n", "log_row = row.map(np.log10)\n", "assert np.all(np.diff(log_row) < tol), \"Errors did not decrease as expected\"\n", "\n", "tableau = \"RK4\"\n", "tol = 1e-11\n", "err = row.loc[tau_pick, tableau]\n", "assert err < tol, \"Absolute error exceeds expected: %.2e, for %s with step size %g.\" % (\n", " err,\n", " tableau,\n", " tau_pick,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving ODEs on Rotational Groups\n", "Rotations are often expressed as a matrix $R\\in SO(3)$. Specifying differential equations in $SO(3)$ is not convenient since $SO(3)$ is inherently three dimensional. In the following we motivate specifying the ODE in exponential coordinates. Once we define the ODE and a numeric solution, we can apply traditional RK solvers and assess accuracy. Finally, we will demonstrate RKMK solvers which operate on a function rather than the ODE directly.\n", "\n", "### ODE For Rotational Groups\n", "Consider the attitude trajectory\n", "\n", "$$ R(t) = R(t-\\tau)\\Delta R(\\tau) $$\n", "\n", "where $\\Delta R, R \\in SO(3)$. Since $SO(3)$ is inherently three dimensional, $\\Delta R$ admits prameterization in a three-dimensional space. Using exponential coordinates $\\phi\\in \\mathbb{R}^3$, we have\n", "\n", "$$ \\Delta R(\\tau) = \\exp(\\phi(\\tau)\\wedge) $$\n", "\n", "The differential expression for $\\dot{\\phi}$ depends on the independent variable $\\phi$ and a time-varying function $\\omega : \\mathbb{R}\\rightarrow\\mathbb{R}^3$\n", "\n", "$$ \n", "\\dot{\\phi} = J_\\phi^{-1}\\omega \n", "$$\n", "\n", "Here, $J_\\phi^{-1}\\in GL(3)$ is the inverse Jacobian of the exponential mapping. For any $\\phi\\in\\mathbb{R}^3$, $J$ is a $3\\times3$ invertible matrix. \n", "\n", "We seek the solution to the initial value problem $\\phi(\\tau)$ given $\\phi(0) = 0$ governed by the ODE above. Ignoring phase wrapping (assuming $\\| \\phi \\|< \\pi$), this is equivalent to solving $ \\Delta R$ given $R(t-\\tau)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example Trajectory: Exponential Coordinates\n", "Here we define the trajectory by specifying $\\phi : \\mathbb{R}\\rightarrow\\mathbb{R}^3$ as a polynomial curve. Note, this requires $\\| \\phi \\|< \\pi$ for all $t$ to avoid phase wrapping." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.interpolate import BPoly\n", "from hitman.plot import plot_hermite_spline\n", "\n", "random_matrix = np.random.randn(5, 3)\n", "assert (\n", " np.max(np.linalg.norm(random_matrix, axis=1)) < np.pi\n", "), \"Curve control points must lie within a sphere with radius pi.\"\n", "\n", "poly_phi = BPoly(random_matrix[:, np.newaxis, :], [0.0, 1.0])\n", "\n", "_, _ = plot_hermite_spline(poly_phi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Evaluating $\\omega$ requires both $\\phi$ and $\\dot{\\phi}$ which are available analytically." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def eval_omega(t, phi=poly_phi, phidot=poly_phi.derivative(1)):\n", " \"\"\"Omega function\n", "\n", " :param t: N-vector of timesteps\n", " :return: Nx3 matrix of omega(t)\n", " \"\"\"\n", " return SO.J_r(phi(t)) @ phidot(t)\n", "\n", "\n", "bortz_ode = partial(bortz_equation, omega=eval_omega)\n", "solution_bortz = poly_phi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Runge-Kutta Methods for Rotation Groups\n", "\n", "The same RK solvers can be applied to differential equations on the exponential coordinates. We expect similar improvement in solution quality with solver order." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ode = bortz_ode\n", "solution = solution_bortz\n", "# Remove Variable solver\n", "solver_dict = dict(rk_solver_dict.items() - [(\"Variable\", rk_solver_dict[\"Variable\"])])\n", "\n", "df = quantify_solver(ode, solution, solver_dict, t=np.random.uniform(0, 0.1, 20))\n", "plot_solver_performance(df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Runge-Kutta Munthe-Kaas Solver\n", "For Lie-Group ODEs, the differential equation separates as the product of two terms: the current angle $\\phi$, and the time-varying rate $\\omega$. Instead of supplying the complete ODE to the solver ${f : \\mathbb{R}\\times \\mathbb{R}^n\\rightarrow \\mathbb{R}^n}$, as a traditional RK-method, we can simply supply ${\\omega : \\mathbb{R}\\rightarrow \\mathbb{R}^n}$. The latter approach is referred to as RKMK methods {cite}`iserles2000lie`.\n", "\n", "Adjusting the solver arguments necessitates re-constructing our solver dictionary." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Create dictionary of ode solvers\n", "rkmk_solver_dict = {}\n", "tableau = [\"FwdElr\", \"ExpMid\", \"RK3\", \"RK4\"]\n", "for tableau_ in tableau:\n", " # Define solver for this tableau\n", " if tableau_ in butcher_tableaux:\n", "\n", " def ivp_solve(f, t, step_size, y_t, tableau=tableau_) -> np.ndarray:\n", " y = rkmk_fixed(f, t, step_size, y_t, tableau=butcher_tableaux[tableau])\n", " return y\n", "\n", " else:\n", " raise ValueError(\"Unknown tableau: %s\" % tableau_)\n", "\n", " rkmk_solver_dict[tableau_] = ivp_solve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now score the RKMK solvers using the same verifier method. The difference is that we supply $\\omega$ instead of the prior ODE as the functional. We expect the same improvement in solution quality with solver order." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = eval_omega # Note: this is a function, not an ODE\n", "solution = solution_bortz\n", "solver_dict = rkmk_solver_dict\n", "\n", "df = quantify_solver(f, solution, solver_dict, t=np.random.uniform(0, 0.1, 20))\n", "plot_solver_performance(df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The distinction here is subtle. One (traditional) approach to propagating attitude is to form an ODE by building-in angular rate. In this case, the angular rate effects time-variability in the differential equation. Alternatively, only angular rate is provided as a functional to the RKMK solver. The full ODE is not required as the form of the ODE is presumed by the RKMK solver. RKMK methods are a natural fit for directly incorporating inertial measurements in vehicle state propagation." ] } ], "metadata": { "kernelspec": { "display_name": "hitman", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 4 }