Skip to content

Instantly share code, notes, and snippets.

@uranix
Created November 5, 2022 21:18
Show Gist options
  • Star 1 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save uranix/b101ca6ce8dcc2b616502dd8e9a2f9e9 to your computer and use it in GitHub Desktop.
Save uranix/b101ca6ce8dcc2b616502dd8e9a2f9e9 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "bbe63fcf",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "dbc6144d",
"metadata": {},
"outputs": [],
"source": [
"I0 = np.array([3.0, 2.0, 1.0])"
]
},
{
"cell_type": "markdown",
"id": "86bfaed3",
"metadata": {},
"source": [
"$$\n",
"I \\dot {\\boldsymbol \\omega} + {\\boldsymbol \\omega} \\times (I {\\boldsymbol \\omega}) = 0\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "29a9b553",
"metadata": {},
"source": [
"$$\n",
"I = R(q) I_0 R(q)^\\top\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "2688cd07",
"metadata": {},
"source": [
"$$\n",
"\\dot q = \\frac{1}{2} \\boldsymbol \\omega q\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "197e7dab",
"metadata": {},
"source": [
"$$\n",
"R = \\begin{pmatrix}\n",
"1 - 2s (q_j^2 + q_k^2) &\n",
"2s (q_i q_j - q_k q_r) &\n",
"2s (q_i q_k + q_j q_r) \\\\\n",
"2s (q_i q_j + q_k q_r) &\n",
"1 - 2s (q_i^2 + q_k^2) &\n",
"2s (q_j q_k - q_i q_r) \\\\\n",
"2s (q_i q_k - q_j q_r) &\n",
"2s (q_j q_k + q_i q_r) &\n",
"1 - 2s (q_i^2 + q_j^2)\n",
"\\end{pmatrix} \n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "fb06069c",
"metadata": {},
"outputs": [],
"source": [
"def rhs(x, I0):\n",
" w = x[:3]\n",
" qr, *q = x[3:]\n",
" qi, qj, qk = q\n",
" R = np.array([[1-2*(qj*qj+qk*qk), 2*(qi*qj-qk*qr), 2*(qi*qk+qj*qr)],\n",
" [2*(qi*qj+qk*qr), 1-2*(qi*qi+qk*qk), 2*(qj*qk-qi*qr)],\n",
" [2*(qi*qk-qj*qr), 2*(qj*qk+qi*qr), 1-2*(qi*qi+qj*qj)]])\n",
" dxdt = np.zeros_like(x)\n",
" I = R @ np.diag(I0) @ R.T\n",
" wxIw = np.cross(w, I @ w)\n",
" eps = -R @ ((R.T @ wxIw) / I0)\n",
" dxdt[:3] = eps\n",
" # dot q = 0.5 w q\n",
" dxdt[3] = -0.5 * w.dot(q)\n",
" dxdt[4:] = 0.5 * (qr * w + np.cross(w, q))\n",
" return dxdt\n",
"\n",
"def normalize(x):\n",
" y = x.copy()\n",
" y[3:] /= np.linalg.norm(y[3:])\n",
" return y"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "9420c96b",
"metadata": {},
"outputs": [],
"source": [
"dt = 0.01\n",
"w0 = np.array([0.05, 4.0, 0.05])\n",
"T = 100\n",
"\n",
"x0 = np.zeros(7)\n",
"x0[:3] = w0\n",
"x0[3:] = [1, 0, 0, 0]\n",
"\n",
"K0 = 0.5 * (I0 * w0**2).sum()\n",
"L0 = np.linalg.norm(I0 * w0)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "781711bb",
"metadata": {},
"outputs": [],
"source": [
"def stepper(step, x0, T, dt):\n",
" x = x0.copy()\n",
" t = 0\n",
" ts = [t]\n",
" xs = [x.copy()]\n",
" while t < T:\n",
" x = step(x, dt)\n",
" t += dt\n",
" ts.append(t)\n",
" xs.append(x.copy())\n",
" return ts, np.array(xs)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "f43728d1",
"metadata": {},
"outputs": [],
"source": [
"class Euler:\n",
" def __init__(self, rhs, normalize):\n",
" self.rhs = rhs\n",
" self.norm = normalize\n",
" \n",
" def __call__(self, x, dt):\n",
" return self.norm(x + dt * self.rhs(x))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "3eb4df3b",
"metadata": {},
"outputs": [],
"source": [
"class MidPoint:\n",
" def __init__(self, rhs, normalize):\n",
" self.rhs = rhs\n",
" self.norm = normalize\n",
" \n",
" def __call__(self, x, dt):\n",
" k1 = self.rhs(x)\n",
" k2 = self.rhs(self.norm(x + 0.5 * dt * k1))\n",
" return self.norm(x + dt * k2)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "81c1f732",
"metadata": {},
"outputs": [],
"source": [
"class RK4:\n",
" def __init__(self, rhs, normalize):\n",
" self.rhs = rhs\n",
" self.norm = normalize\n",
" \n",
" def __call__(self, x, dt):\n",
" k1 = self.rhs(x)\n",
" k2 = self.rhs(self.norm(x + 0.5 * dt * k1))\n",
" k3 = self.rhs(self.norm(x + 0.5 * dt * k2))\n",
" k4 = self.rhs(self.norm(x + dt * k3))\n",
" return self.norm(x + dt * (k1 + 2*k2 + 2*k3 + k4) / 6)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "50914e60",
"metadata": {},
"outputs": [],
"source": [
"def R(xs):\n",
" qr = xs[:, 3]\n",
" qi = xs[:, 4]\n",
" qj = xs[:, 5]\n",
" qk = xs[:, 6]\n",
" R = np.zeros((xs.shape[0], 3, 3), dtype=xs.dtype)\n",
" R[:, 0, 0] = 1-2*(qj*qj+qk*qk)\n",
" R[:, 0, 1] = 2*(qi*qj-qk*qr)\n",
" R[:, 0, 2] = 2*(qi*qk+qj*qr)\n",
" R[:, 1, 0] = 2*(qi*qj+qk*qr)\n",
" R[:, 1, 1] = 1-2*(qi*qi+qk*qk)\n",
" R[:, 1, 2] = 2*(qj*qk-qi*qr)\n",
" R[:, 2, 0] = 2*(qi*qk-qj*qr)\n",
" R[:, 2, 1] = 2*(qj*qk+qi*qr)\n",
" R[:, 2, 2] = 1-2*(qi*qi+qj*qj)\n",
" return R"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "6ad20408",
"metadata": {},
"outputs": [],
"source": [
"def K(I0, xs):\n",
" ws = xs[:, :3]\n",
" Rs = R(xs)\n",
" I = np.einsum('m,tim,tjm->tij', I0, Rs, Rs)\n",
" return 0.5 * np.einsum('tij,ti,tj->t', I, ws, ws)\n",
"\n",
"def L(I0, xs):\n",
" ws = xs[:, :3]\n",
" Rs = R(xs)\n",
" I = np.einsum('m,tim,tjm->tij', I0, Rs, Rs)\n",
" Lvec = np.einsum('tij,tj->ti', I, ws)\n",
" return np.linalg.norm(Lvec, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "ac507239",
"metadata": {},
"outputs": [],
"source": [
"ts1, xs1 = stepper(Euler(lambda x: rhs(x, I0), normalize), x0, T, dt)\n",
"L1 = L(I0, xs1)\n",
"K1 = K(I0, xs1)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "3f0c0e0d",
"metadata": {},
"outputs": [],
"source": [
"ts2, xs2 = stepper(MidPoint(lambda x: rhs(x, I0), normalize), x0, T, dt)\n",
"L2 = L(I0, xs2)\n",
"K2 = K(I0, xs2)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "8b3f9786",
"metadata": {},
"outputs": [],
"source": [
"ts4, xs4 = stepper(RK4(lambda x: rhs(x, I0), normalize), x0, T, dt)\n",
"L4 = L(I0, xs4)\n",
"K4 = K(I0, xs4)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "3869c063",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb86a2f5dd0>]"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts1, K1 / K0 - 1)\n",
"plt.plot(ts1, L1 / L0 - 1)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "14956565",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb8fc428090>]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts2, K2 / K0 - 1)\n",
"plt.plot(ts2, L2 / L0 - 1)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "25b2cfe8",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fb8fc3cab10>]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(ts4, K4 / K0 - 1)\n",
"plt.plot(ts4, L4 / L0 - 1)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment