{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "564449e9-15ca-49c3-9551-9bf3f270ccac", "metadata": {}, "source": [ "# Example-19: Layout" ] }, { "cell_type": "code", "execution_count": 1, "id": "f4b542e6-0a4a-4a00-a444-faa58d52d049", "metadata": {}, "outputs": [], "source": [ "# In this example graphical representation of (planar) layout if illustrated\n", "# Layout data can be generated to draw layout in 1D, 2D and 3D along with other curves (given on sliced lattice)\n", "# To avoid explicit dependencies on graphical libraries (matplotlib and plotly), results are returned as dictionaries" ] }, { "cell_type": "code", "execution_count": 2, "id": "e343b2da-c5f9-4574-9e0f-214537a4916c", "metadata": {}, "outputs": [], "source": [ "# Import\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 plotly import graph_objects\n", "\n", "import torch\n", "\n", "from twiss import twiss\n", "from twiss import propagate\n", "from twiss import wolski_to_cs\n", "\n", "from model.library.drift import Drift\n", "from model.library.quadrupole import Quadrupole\n", "from model.library.sextupole import Sextupole\n", "from model.library.dipole import Dipole\n", "from model.library.bpm import BPM\n", "from model.library.line import Line\n", "\n", "from model.command.layout import Layout" ] }, { "cell_type": "code", "execution_count": 3, "id": "d664b6af-c751-4918-8c22-7e18d7a3c7ef", "metadata": {}, "outputs": [], "source": [ "# Define simple FODO based lattice\n", "\n", "QF = Quadrupole('QF', 0.5, +0.20)\n", "QD = Quadrupole('QD', 0.5, -0.19)\n", "SF = Sextupole('SF', 0.25)\n", "SD = Sextupole('SD', 0.25)\n", "DR = Drift('DR', 0.25)\n", "BM = Dipole('BM', 3.50, torch.pi/4.0)\n", "BA = BPM('BA', direction='inverse')\n", "BB = BPM('BB', direction='forward')\n", "\n", "FODO = Line('FODO', \n", " [BA, QF, DR, SF, DR, BM, DR, SD, DR, QD, QD, DR, SD, DR, BM, DR, SF, DR, QF, BB], \n", " propagate=True, \n", " dp=0.0, \n", " exact=False, \n", " output=True, \n", " matrix = True)\n", "\n", "\n", "RING = Line('RING', \n", " 4*[FODO], \n", " propagate=True, \n", " dp=0.0, \n", " exact=False, \n", " output=True, \n", " matrix = True)" ] }, { "cell_type": "code", "execution_count": 4, "id": "beb226c5-91af-4517-8efd-2a7dbad09d0f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'BA': 1, 'QF': 10, 'DR': 5, 'SF': 5, 'BM': 70, 'SD': 5, 'QD': 10, 'BB': 1}\n" ] } ], "source": [ "# Perform lattice slicing\n", "# Note, one step is used for zero length elements\n", "\n", "RING.ns = 0.05\n", "print(RING.ns)" ] }, { "cell_type": "code", "execution_count": 5, "id": "558e20f8-aab1-4a2b-b04e-25ad691b6910", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([[ -0.3382, -17.5116, 0.0000, 0.0000],\n", " [ 0.0506, -0.3382, 0.0000, 0.0000],\n", " [ 0.0000, 0.0000, -0.2976, -6.0422],\n", " [ 0.0000, 0.0000, 0.1508, -0.2976]], dtype=torch.float64)\n", "\n", "tensor([[ -0.3382, -17.5116, 0.0000, 0.0000],\n", " [ 0.0506, -0.3382, 0.0000, 0.0000],\n", " [ 0.0000, 0.0000, -0.2976, -6.0422],\n", " [ 0.0000, 0.0000, 0.1508, -0.2976]], dtype=torch.float64)\n", "\n" ] } ], "source": [ "# Compute transport matrices along closed orbit\n", "\n", "state = torch.tensor([0.0, 0.0, 0.0, 0.0], dtype=torch.float64)\n", "\n", "print(torch.func.jacrev(RING)(state))\n", "print()\n", "\n", "total, *ms = RING.container_matrix\n", "for m in ms:\n", " total = m @ total\n", "print(total)\n", "print()" ] }, { "cell_type": "code", "execution_count": 6, "id": "e7fbde4b-7806-489d-8bb2-9bf7ba5c2ee8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0.6950865039372625, 0.7018998427861426)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute twiss parameters at slices (entrance of each slice)\n", "\n", "# Compute twiss from one-turn matrix at starting location\n", "\n", "(nux, nuy), _, w = twiss(total)\n", "\n", "# Print fractional tunes\n", "\n", "print(f'{nux.item(), nuy.item()}')\n", "\n", "# Propagate twiss parametes\n", "\n", "ws = [w]\n", "*ms, _ = RING.container_matrix\n", "for m in ms:\n", " w = propagate(w, m)\n", " ws.append(w)\n", "ws = torch.stack(ws)\n", "\n", "# Convert to CS and plot beta functions\n", "\n", "_, bx, _, by = torch.vmap(wolski_to_cs)(ws).T\n", "\n", "plt.figure(figsize=(20, 4))\n", "plt.plot(bx.cpu().numpy(), color='red', label=r'$\\beta_x$')\n", "plt.plot(by.cpu().numpy(), color='blue', label=r'$\\beta_y$')\n", "plt.xlabel(r'slice \\#')\n", "plt.ylabel(r'$\\beta$ [m]')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "id": "6991e39d-fe3c-43bc-ad02-c42fb16968ee", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "torch.Size([16, 968, 4])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Generate several trajectories on slice (turn off matrix computation)\n", "\n", "RING.matrix = False\n", "\n", "state = torch.tensor([+0.01, 0.0, -0.01, 0.0], dtype=torch.float64)\n", "\n", "orbit = []\n", "for _ in range(16):\n", " state = RING(state)\n", " orbit.append(RING.container_output.clone())\n", "orbit = torch.stack(orbit)\n", "orbit.shape" ] }, { "cell_type": "code", "execution_count": 8, "id": "54b17efb-a835-4755-917e-8b2501db7c1c", "metadata": {}, "outputs": [], "source": [ "# Set layout\n", "\n", "layout = Layout(RING)" ] }, { "cell_type": "code", "execution_count": 9, "id": "972398b0-72cc-4ac3-ac62-e17f84f1a013", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Reference orbit (lines and arcs)\n", "\n", "# With step = None, returns globals coordinates for elements entrance faces (if the last entry is dropped)\n", "\n", "x_entrance, y_entrance, *_ = layout.orbit(flat=False, step=None)\n", "\n", "# Step size can be passed to generate smooth closed orbit curve\n", "# Slicing is performed only in arc sections\n", "\n", "x, y, *_ = layout.orbit(flat=False, step=0.01)\n", "\n", "plt.figure(figsize=(6, 6))\n", "plt.scatter(x_entrance.cpu().numpy(), y_entrance.cpu().numpy(), marker='o', color='black')\n", "plt.plot(x.cpu().numpy(), y.cpu().numpy(), color='black')\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Note, rotation is anti-clockwise" ] }, { "cell_type": "code", "execution_count": 10, "id": "c9b48454-70a6-4bfd-81b9-1ce9d393dc09", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Information about each element \n", "# (name, kind, length, angle)\n", "\n", "names, kinds, lengths, angles = zip(*layout.line.layout())\n", "\n", "# Element locations in global frame can be computed using orbit method\n", "\n", "x, y, *_ = layout.orbit(step=None, flag=False, lengths=lengths, angles=angles)\n", "\n", "plt.figure(figsize=(6, 6))\n", "plt.errorbar(x.cpu().numpy(), y.cpu().numpy(), fmt=' ', ms=1, marker='x', color='black')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "3808174e-6716-495b-8b28-418f05ae4e9b", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In sliced lattice each element is splitted into one or more slices\n", "# Information about each slice\n", "# (name, kind, length, angle, point)\n", "# Here point gives element entrance face location in global coordinate system\n", "\n", "names, kinds, lengths, angles, points = layout.slicing_table()\n", "\n", "x, y, *_ = points.T\n", "\n", "plt.figure(figsize=(6, 6))\n", "plt.errorbar(x.cpu().numpy(), y.cpu().numpy(), fmt=' ', ms=1, marker='x', color='black')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "id": "46249a48-63e7-4287-8fc4-6312a39c92a4", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 1D profile (rectangles)\n", "\n", "_, _, lengths, *_ = layout.slicing_table()\n", "\n", "rectangles, labels = layout.profile_1d(scale=5.0, \n", " shift=-2.5, \n", " text=True, \n", " delta=-4.0, \n", " rotation=90, \n", " exclude=['BPM'])\n", "\n", "plt.figure(figsize=(20, 5))\n", "plt.plot(lengths.cumsum(-1).cpu().numpy(), bx.cpu().numpy(), color='red', label=r'$\\beta_x$')\n", "plt.plot(lengths.cumsum(-1).cpu().numpy(), by.cpu().numpy(), color='blue', label=r'$\\beta_y$')\n", "plt.legend()\n", "for rectangle in rectangles:\n", " plt.gca().add_patch(Rectangle(**rectangle))\n", "for label in labels:\n", " plt.text(**label)\n", "plt.ylim(-5.0, 25.0)\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# Default colors and other parametes are defined in config attribute (layout class variable)" ] }, { "cell_type": "code", "execution_count": 13, "id": "11391c22-2e71-46bd-b8b4-acafdf753f90", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 2D profile and data transformation\n", "\n", "# Using angles and global positions, data on slices can be transformed\n", "# In general, data scaling should be adjusted to present transformed data in appealing way\\\n", "\n", "# Transform data\n", "\n", "*_, angles, points = layout.slicing_table()\n", "angles = angles.cumsum(-1)\n", "\n", "bx_x = torch.zeros_like(bx)\n", "bx_y = +(0.05*bx + 0.5)\n", "bx_z = torch.zeros_like(bx)\n", "bx_points = torch.stack([bx_x, bx_y, bx_z]).T\n", "bx_x, bx_y, bx_z = torch.vmap(layout.transform)(bx_points, points, angles).T\n", "\n", "by_x = torch.zeros_like(by)\n", "by_y = +(0.05*by + 0.5)\n", "by_z = torch.zeros_like(by)\n", "by_points = torch.stack([by_x, by_y, by_z]).T\n", "by_x, by_y, by_z = torch.vmap(layout.transform)(by_points, points, angles).T\n", "\n", "# Generate reference orbit\n", "\n", "x, y, _ = layout.orbit(flat=False, step=0.01, start=(0, 0))\n", "\n", "# Generate layout\n", "\n", "blocks, labels = layout.profile_2d(start=(0, 0),\n", " delta=-0.6, \n", " linewidth=1.5, \n", " exclude=['Drift', 'BPM'])\n", "# Plot\n", "\n", "plt.figure(figsize=(6, 6))\n", "plt.plot(x, y, color='black')\n", "plt.plot(bx_x, bx_y, color='red', label=r'$\\beta_x$')\n", "plt.plot(by_x, by_y, color='blue', label=r'$\\beta_y$')\n", "for block in blocks:\n", " plt.errorbar(**block)\n", "for label in labels:\n", " plt.text(**label)\n", "plt.legend()\n", "plt.xlabel(r'x [m]')\n", "plt.ylabel(r'y [m]')\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "id": "b47ccc6f-c0a9-4573-a7c5-e8edea443431", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "line": { "color": "black", "dash": "solid", "width": 2 }, "mode": "lines", "name": "Orbit", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 3D profile and data transformation\n", "\n", "names, kinds, lengths, angles, points = layout.slicing_table()\n", "angles = angles.cumsum(-1)\n", "\n", "# Transform orbits\n", "\n", "scale = 50.0\n", "qx, _, qy, _ = orbit.swapaxes(0, 1).swapaxes(0, -1)\n", "q_x = scale*torch.zeros_like(qx)\n", "q_y = scale*qx\n", "q_z = scale*qy\n", "q_points = torch.stack([q_x, q_y, q_z]).swapaxes(0, -1)\n", "q_x, q_y, q_z = torch.vmap(layout.transform)(q_points, points, angles).swapaxes(0, -1)\n", "\n", "# Select data at BPMs\n", "\n", "q_x_bpm = []\n", "q_y_bpm = []\n", "q_z_bpm = []\n", "for kind, qx, qy, qz in zip(kinds, q_x.T, q_y.T, q_z.T):\n", " if kind == 'BPM':\n", " q_x_bpm.append(qx)\n", " q_y_bpm.append(qy)\n", " q_z_bpm.append(qz)\n", "q_x_bpm = torch.stack(q_x_bpm)\n", "q_y_bpm = torch.stack(q_y_bpm)\n", "q_z_bpm = torch.stack(q_z_bpm)\n", "\n", "# Generate reference orbit\n", "\n", "x, y, z = layout.orbit(flat=False, step=0.01, start=(0, 0))\n", "\n", "# Generate layout (can be saved as html with write_html method)\n", "\n", "blocks = layout.profile_3d(scale=1.75)\n", "\n", "# Plot\n", "\n", "figure = graph_objects.Figure(\n", " data=[\n", " graph_objects.Scatter3d(\n", " x=x.numpy(),\n", " y=y.numpy(),\n", " z=z.numpy(), \n", " mode='lines',\n", " name='Orbit',\n", " line=dict(color='black',width=2.0,dash='solid'),\n", " opacity=0.75,\n", " showlegend=True\n", " ),\n", " graph_objects.Scatter3d(\n", " x=q_x.flatten().numpy(),\n", " y=q_y.flatten().numpy(),\n", " z=q_z.flatten().numpy(), \n", " mode='lines',\n", " name='Trajectory',\n", " line=dict(color='black',width=1.0,dash='solid'),\n", " opacity=0.50,\n", " showlegend=True \n", "\n", " ), \n", " graph_objects.Scatter3d(\n", " x=q_x_bpm.flatten().numpy(),\n", " y=q_y_bpm.flatten().numpy(),\n", " z=q_z_bpm.flatten().numpy(), \n", " mode='markers',\n", " name='Projection',\n", " marker=dict(color='red',size=1.5),\n", " opacity=0.50,\n", " showlegend=True\n", " ), \n", " *[graph_objects.Mesh3d(block) for block in blocks]\n", " ]\n", ")\n", "figure.update_layout(\n", " scene=dict(\n", " xaxis=dict(visible=False, range=[-20,20]),\n", " yaxis=dict(visible=False, range=[-20,20]),\n", " zaxis=dict(visible=False, range=[-5,5]),\n", " aspectratio=dict(x=1, y=1, z=1/4),\n", " annotations=[]\n", " ),\n", " margin=dict(l=0, r=0, t=0, b=0),\n", " legend=dict(orientation='v', x=0., y=1., xanchor='left', yanchor='top'),\n", " hoverlabel=dict(font_size=12, font_family=\"Rockwell\", font_color='white'),\n", " legend_groupclick='toggleitem'\n", ")\n", "figure.show()" ] } ], "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 }