{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "262a5ec8-2553-4237-ab62-319b6ca22089", "metadata": {}, "source": [ "# Example-43: Twiss (Computation of Twiss parameters)" ] }, { "cell_type": "code", "execution_count": 1, "id": "4f2224f9-4582-4836-ace1-6a01a170f114", "metadata": {}, "outputs": [], "source": [ "# In this example twiss parameters are computed and compared with ELEGANT" ] }, { "cell_type": "code", "execution_count": 2, "id": "5a5810df-314f-466d-b5f7-38630923230f", "metadata": {}, "outputs": [], "source": [ "# Import\n", "\n", "from pprint import pprint\n", "\n", "import torch\n", "from torch import Tensor\n", "\n", "from pathlib import Path\n", "\n", "import matplotlib\n", "from matplotlib import pyplot as plt\n", "from matplotlib.patches import Rectangle\n", "matplotlib.rcParams['text.usetex'] = True\n", "\n", "from model.library.corrector import Corrector\n", "from model.library.line import Line\n", "\n", "from model.command.util import chop\n", "from model.command.util import select\n", "\n", "from model.command.external import load_sdds\n", "from model.command.external import load_lattice\n", "\n", "from model.command.build import build\n", "\n", "from model.command.tune import tune\n", "from model.command.twiss import twiss\n", "\n", "from model.command.layout import Layout" ] }, { "cell_type": "code", "execution_count": 3, "id": "b396b18c-4700-469d-b4b3-a819e92290cd", "metadata": {}, "outputs": [], "source": [ "# Load ELEGANT twiss\n", "\n", "path = Path('ic.twiss')\n", "parameters, columns = load_sdds(path)\n", "\n", "nu_qx:Tensor = torch.tensor(parameters['nux'] % 1, dtype=torch.float64)\n", "nu_qy:Tensor = torch.tensor(parameters['nuy'] % 1, dtype=torch.float64)\n", "\n", "# Set twiss parameters at BPMs\n", "\n", "kinds = select(columns, 'ElementType', keep=False)\n", "\n", "a_qx = select(columns, 'alphax', keep=False)\n", "b_qx = select(columns, 'betax' , keep=False)\n", "a_qy = select(columns, 'alphay', keep=False)\n", "b_qy = select(columns, 'betay' , keep=False)\n", "\n", "a_qx:Tensor = torch.tensor([value for (key, value), kind in zip(a_qx.items(), kinds.values()) if kind == 'MONI'], dtype=torch.float64)\n", "b_qx:Tensor = torch.tensor([value for (key, value), kind in zip(b_qx.items(), kinds.values()) if kind == 'MONI'], dtype=torch.float64)\n", "a_qy:Tensor = torch.tensor([value for (key, value), kind in zip(a_qy.items(), kinds.values()) if kind == 'MONI'], dtype=torch.float64)\n", "b_qy:Tensor = torch.tensor([value for (key, value), kind in zip(b_qy.items(), kinds.values()) if kind == 'MONI'], dtype=torch.float64)\n", "\n", "positions = select(columns, 's', keep=False).items()\n", "positions = [value for (key, value), kind in zip(positions, kinds.values()) if kind == 'MONI']" ] }, { "cell_type": "code", "execution_count": 4, "id": "1e74f5dd-1882-4bae-b74b-f6aac00f6db6", "metadata": {}, "outputs": [], "source": [ "# Build and setup lattice\n", "\n", "# Note, sextupoles are turned off and dipoles are linear \n", "\n", "# Load ELEGANT table\n", "\n", "path = Path('ic.lte')\n", "data = load_lattice(path)\n", "\n", "# Build ELEGANT table\n", "\n", "ring:Line = build('RING', 'ELEGANT', data)\n", "ring.flatten()\n", "\n", "# Merge drifts\n", "\n", "ring.merge()\n", "\n", "# Turn off sextupoles and set linear dipoles\n", "\n", "for element in ring: \n", " if element.__class__.__name__ == 'Sextupole':\n", " element.ms = 0.0\n", " if element.__class__.__name__ == 'Dipole':\n", " element.linear = True\n", "\n", "# Set number of elements of different kinds\n", "\n", "nb = ring.describe['BPM']\n", "nq = ring.describe['Quadrupole']\n", "ns = ring.describe['Sextupole']" ] }, { "cell_type": "code", "execution_count": 5, "id": "b5d566e7-4378-4f06-8966-4f42e9d6a18b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n", "True\n" ] } ], "source": [ "# Compute tunes (fractional part)\n", "\n", "guess = torch.tensor(4*[0.0], dtype=torch.float64)\n", "nuqx, nuqy = tune(ring, [], alignment=False, matched=True, guess=guess, limit=8, epsilon=1.0E-9)\n", "\n", "# Compare with elegant\n", "\n", "print(torch.allclose(nu_qx, nuqx))\n", "print(torch.allclose(nu_qy, nuqy))" ] }, { "cell_type": "code", "execution_count": 6, "id": "8ef9f9d1-a6d5-4718-a0ca-11e4f43ddea2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "136\n", "torch.Size([136, 4])\n" ] } ], "source": [ "# Compute twiss parameters\n", "\n", "# For matched flag=True, twiss parameters around closed orbit are computed\n", "# This flag should be used depending on how paramteric variable effect the closed orbit and whether lattice has non-zero correctors\n", "# Note, default values is False\n", "\n", "cs = twiss(ring, [], alignment=False, matched=True, advance=True, full=False, guess=guess, limit=8, epsilon=1.0E-9)\n", "aqxs, bqxs, aqys, bqys = cs.T\n", "\n", "# Note, by default, twiss parameters at the entrance of each element are returned\n", "\n", "print(len(ring))\n", "print(cs.shape)" ] }, { "cell_type": "code", "execution_count": 7, "id": "83bc6508-e86a-4b6e-977d-5e8e70850869", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n", "True\n", "True\n", "True\n" ] } ], "source": [ "# Compare Twiss parameters at BPMs\n", "\n", "aqxs_bpm, bqxs_bpm, aqys_bpm, bqys_bpm = torch.stack([torch.stack([aqx, bqx, aqy, bqy]) for (_, kind, *_), aqx, bqx, aqy, bqy in zip(ring.layout(), aqxs, bqxs, aqys, bqys) if kind == 'BPM']).T\n", "\n", "print(torch.allclose(aqxs_bpm, a_qx))\n", "print(torch.allclose(bqxs_bpm, b_qx))\n", "print(torch.allclose(aqys_bpm, a_qy))\n", "print(torch.allclose(bqys_bpm, b_qy))" ] }, { "cell_type": "code", "execution_count": 8, "id": "4b568a5c-5926-4c0a-83c8-8875fb254222", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot beta functions\n", "\n", "layout = Layout(ring)\n", "_, _, lengths, *_ = layout.slicing_table()\n", "rectangles = layout.profile_1d(scale=0.75, shift=0.0, text=False, exclude=['BPM', 'Corrector'])\n", "\n", "plt.figure(figsize=(16, 4))\n", "plt.errorbar(positions, b_qx.cpu().numpy(), fmt=' ', color='red', alpha=0.75, marker='x')\n", "plt.errorbar(ring.locations().cpu().numpy(), bqxs.cpu().numpy(), fmt='-', color='red', alpha=0.75)\n", "plt.errorbar(positions, b_qy.cpu().numpy(), fmt=' ', color='blue', alpha=0.75, marker='x')\n", "plt.errorbar(ring.locations().cpu().numpy(), bqys.cpu().numpy(), fmt='-', color='blue', alpha=0.75)\n", "for rectangle in rectangles:\n", " plt.gca().add_patch(Rectangle(**rectangle))\n", "plt.ylim(-1.0, 5.0)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "d3bfed48-a543-4da5-bd8c-aa43d85082f9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "torch.Size([136, 4])\n", "torch.Size([136, 2, 4, 4])\n" ] } ], "source": [ "# convert flag usage\n", "\n", "# onvert=True (default), coupled twiss parameters are converted to CS (ax, bx, ay, by)\n", "\n", "print(twiss(ring, [], alignment=False, convert=True, matched=True, advance=True, full=False, guess=guess, limit=8, epsilon=1.0E-9).shape)\n", "\n", "# convert=False, Wolski twiss matrices are returned (see PhysRevSTAB.9.024001 for details)\n", "\n", "print(twiss(ring, [], alignment=False, convert=False, matched=True, advance=True, full=False, guess=guess, limit=8, epsilon=1.0E-9).shape)" ] }, { "cell_type": "code", "execution_count": 10, "id": "13ebad15-464f-4278-abb7-b599a741cdf7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "torch.Size([4])\n", "torch.Size([136, 4])\n", "torch.Size([137, 4])\n" ] } ], "source": [ "# advance and full flag usage\n", "\n", "# advance=False (default), Twiss parameters only for lattice start are returned\n", "\n", "print(twiss(ring, [], alignment=False, matched=True, advance=False, full=False, guess=guess, limit=8, epsilon=1.0E-9).shape)\n", "\n", "# advance=True and full=False, twiss parameters at element enterance are returned\n", "\n", "print(twiss(ring, [], alignment=False, matched=True, advance=True, full=False, guess=guess, limit=8, epsilon=1.0E-9).shape)\n", "\n", "# advance=True and full=Truee, twiss parameters between elements are returned\n", "\n", "print(twiss(ring, [], alignment=False, matched=True, advance=True, full=True, guess=guess, limit=8, epsilon=1.0E-9).shape)" ] } ], "metadata": { "colab": { "collapsed_sections": [ "myt0_gMIOq7b", "5d97819c" ], "name": "03_frequency.ipynb", "provenance": [] }, "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": "3.12.1" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false } }, "nbformat": 4, "nbformat_minor": 5 }