{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "70eb7b68-a2cb-4e50-a65f-500b1d1ae405", "metadata": {}, "source": [ "# Example-34: Orbit (ORM)" ] }, { "cell_type": "code", "execution_count": 1, "id": "1d7d3442-fe20-4704-9315-a5023d9369eb", "metadata": {}, "outputs": [], "source": [ "# In this example orbit response matrix is computed for ideal lattice\n", "# Next, orbit distortion is introduced (quadrupole and sextupole transverse shifts)\n", "# Orbit is corrected using ideal ORM (experiment to design correction)\n", "# Next, additional gradient and skew error are introduced in quadrupoles\n", "# With this, real ORM matrix will be off, but design ORM still can be used to correct orbit" ] }, { "cell_type": "code", "execution_count": 2, "id": "3cc7fd95-1f39-40de-a9c8-b81f193d8b18", "metadata": {}, "outputs": [], "source": [ "# Import\n", "\n", "from pprint import pprint\n", "\n", "import torch\n", "\n", "from pathlib import Path\n", "from matplotlib import pyplot as plt\n", "\n", "from twiss import twiss\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 evaluate\n", "from model.command.util import series\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.wrapper import group\n", "\n", "from model.command.orbit import orbit\n", "from model.command.orbit import parametric_orbit" ] }, { "cell_type": "code", "execution_count": 3, "id": "de7675d4-424d-43a6-8e0b-e0121b9c591c", "metadata": {}, "outputs": [], "source": [ "# Load ELEGANT twiss\n", "\n", "path = Path('ic.twiss')\n", "parameters, columns = load_sdds(path)\n", "\n", "nu_qx:float = parameters['nux'] % 1\n", "nu_qy:float = parameters['nuy'] % 1" ] }, { "cell_type": "code", "execution_count": 4, "id": "a376f011-5ca0-4086-8788-80d148d494af", "metadata": {}, "outputs": [], "source": [ "# Build and setup lattice\n", "\n", "# Quadrupoles are splitted into 2**2 parts, Dipoles -- 2**4 part\n", "# Correctors are inserted between parts\n", "\n", "path = Path('ic.lte')\n", "data = load_lattice(path)\n", "\n", "ring:Line = build('RING', 'ELEGANT', data)\n", "ring.propagate = True\n", "ring.flatten()\n", "ring.merge()\n", "\n", "ring.split((None, ['BPM'], None, None))\n", "ring.roll(1)\n", "\n", "n_q = 2**2\n", "n_d = 2**4\n", "\n", "for name in [name for name, kind, *_ in ring.layout() if kind == 'Quadrupole']:\n", " corrector = Corrector(f'{name}_CXY', factor=1/(n_q - 1))\n", " ring.split((n_q, None, [name], None), paste=[corrector]) \n", " \n", "for name in [name for name, kind, *_ in ring.layout() if kind == 'Dipole']:\n", " corrector = Corrector(f'{name}_CXY', factor=1/(n_d - 1))\n", " ring.split((n_d, None, [name], None), paste=[corrector])\n", "\n", "for element in ring:\n", " if element.__class__.__name__ == 'Dipole':\n", " element.linear = True\n", " \n", "ring.splice()" ] }, { "cell_type": "code", "execution_count": 5, "id": "9cce81e0-ee52-4e8a-88f2-0bfa6aab8706", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor(1.4433e-15, dtype=torch.float64)\n", "tensor(-9.9920e-16, dtype=torch.float64)\n" ] } ], "source": [ "# Compare linear tunes\n", "\n", "state = torch.tensor(4*[0.0], dtype=torch.float64)\n", "matrix = torch.func.jacrev(ring)(state)\n", "(nuqx, nuqy), *_ = twiss(matrix)\n", "\n", "print(nu_qx - nuqx)\n", "print(nu_qy - nuqy)" ] }, { "cell_type": "code", "execution_count": 6, "id": "ed268cff-6095-4beb-851c-244d379860fa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([0., 0., 0., 0.], dtype=torch.float64)\n" ] } ], "source": [ "# Compute closed orbit\n", "\n", "fp = 1.0E-3*torch.randn(4, dtype=torch.float64)\n", "fp, *_ = orbit(ring, fp, [], alignment=False, limit=8, epsilon=1.0E-12)\n", "\n", "# Chop small values\n", "\n", "fp = [fp]\n", "chop(fp)\n", "fp, *_ = fp\n", "\n", "print(fp)" ] }, { "cell_type": "code", "execution_count": 7, "id": "604efa6a-66da-4e6d-a6c3-6ad5e14e3e57", "metadata": {}, "outputs": [], "source": [ "# Compute parametric closed orbit (1st order derivatives wrt cx and cy at each monitor location)\n", "\n", "n_kick = ring.describe['Corrector']\n", "\n", "cx = torch.tensor(n_kick*[0.0], dtype=torch.float64)\n", "cy = torch.tensor(n_kick*[0.0], dtype=torch.float64)\n", "\n", "pox, *_ = parametric_orbit(ring,\n", " fp,\n", " [cx],\n", " (1, 'cx', ['Corrector'], None, None),\n", " alignment=False,\n", " advance=True, \n", " full=False)\n", "\n", "\n", "poy, *_ = parametric_orbit(ring,\n", " fp,\n", " [cy],\n", " (1, 'cy', ['Corrector'], None, None),\n", " alignment=False,\n", " advance=True, \n", " full=False)\n", "\n", "chop(pox)\n", "chop(poy)" ] }, { "cell_type": "code", "execution_count": 8, "id": "097a8c54-f7c4-4812-9223-f7005671a291", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "torch.Size([72])\n", "torch.Size([32])\n", "torch.Size([32, 72])\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compute orbit response matrix\n", "\n", "# [qx_1, qx_2, ..., qx_n, qy_1, qy_2, ..., qy_n] = M @ [cx_1, cx_2, ..., cx_k, cy_1, cy_2, ..., cy_k]\n", "\n", "# qx_i/qy_i -- qx/qy orbit at BPM i\n", "# cx_i/cy_i -- cx/cy angle at corrector i\n", "\n", "def qxqy(cxy, pox, poy):\n", " cx, cy = cxy.reshape(1 + 1, -1)\n", " qx, _, qy, _ = torch.stack([evaluate(tx, [fp, cx]) + evaluate(ty, [fp, cy]) for tx, ty in zip(pox, poy)]).T\n", " return torch.cat([qx, qy])\n", "\n", "cx = torch.tensor(n_kick*[0.0], dtype=torch.float64)\n", "cy = torch.tensor(n_kick*[0.0], dtype=torch.float64)\n", "\n", "cxy = torch.cat([cx, cy])\n", "orm = torch.func.jacrev(qxqy)(cxy, pox, poy)\n", "\n", "print(cxy.shape)\n", "print(qxqy(cxy, pox, poy).shape)\n", "print(orm.shape)\n", "\n", "data = orm.clone()\n", "data[data==0.0] = torch.nan\n", "\n", "plt.figure(figsize=(34/4, 72/4))\n", "img = plt.imshow(data.cpu().numpy(), cmap='magma', interpolation='nearest')\n", "cax = plt.gcf().add_axes([plt.gca().get_position().x1 + 0.01, plt.gca().get_position().y0, 0.02, plt.gca().get_position().height])\n", "plt.colorbar(img, cax=cax)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "d70cd3e1-3b98-4ace-bb06-5abeec88adf7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([-0.0003, 0.0004, 0.0007, 0.0013], dtype=torch.float64)\n", "tensor([-0.0003, 0.0004, 0.0007, 0.0013], dtype=torch.float64)\n", "True\n", "\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set corrector errors\n", "\n", "cx = 50.0E-6*torch.randn_like(cx)\n", "cy = 50.0E-6*torch.randn_like(cy)\n", "\n", "# Find closed orbit with errors\n", "\n", "points, *_ = orbit(ring, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=16, epsilon=1.0E-12)\n", "\n", "# Set wrapper\n", "\n", "start, *_, end = ring.names\n", "mapping, *_ = group(ring, start, end, ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False)\n", "\n", "# Propagate estimated closed orbit\n", "\n", "point, *_ = points\n", "print(point)\n", "print(mapping(point, cx, cy))\n", "print(torch.allclose(point, mapping(point, cx, cy), rtol=1.0E-12, atol=1.0E-12))\n", "print()\n", "\n", "# Set orbit\n", "\n", "qx, _, qy, _ = points.T\n", "\n", "# Compute orbit from known errors\n", "\n", "Qx, Qy = (orm @ torch.cat([cx, cy])).reshape(1 + 1, -1)\n", "\n", "# qx vs Qx\n", "\n", "plt.figure(figsize=(16, 2))\n", "plt.errorbar(ring.locations().cpu().numpy(), qx.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n", "plt.errorbar(ring.locations().cpu().numpy(), Qx.cpu().numpy(), fmt=' ', color='black', marker='x', ms=8, alpha=1)\n", "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# qy vs Qy\n", "\n", "plt.figure(figsize=(16, 2))\n", "plt.errorbar(ring.locations().cpu().numpy(), qy.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n", "plt.errorbar(ring.locations().cpu().numpy(), Qy.cpu().numpy(), fmt=' ', color='black', marker='x', ms=8, alpha=1)\n", "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "54c7d647-4338-4e87-9ff6-5191cd2236b4", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Perform one correction step (use measured orbit and model matrix)\n", "\n", "dcx, dcy = - (torch.linalg.pinv(orm) @ torch.cat([qx, qy])).reshape(1 + 1, -1)\n", "\n", "# Find closed orbit with errors and add corrections\n", "\n", "points, *_ = orbit(ring, fp, [cx + dcx, cy + dcy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=16, epsilon=1.0E-12)\n", "\n", "# Set orbit\n", "\n", "dqx, _, dqy, _ = points.T\n", "\n", "# qx vs dqx\n", "\n", "plt.figure(figsize=(16, 2))\n", "plt.errorbar(ring.locations().cpu().numpy(), qx.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n", "plt.errorbar(ring.locations().cpu().numpy(), dqx.cpu().numpy(), fmt='-', color='red', marker='o', ms=8, alpha=1)\n", "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# qy vs dqy\n", "\n", "plt.figure(figsize=(16, 2))\n", "plt.errorbar(ring.locations().cpu().numpy(), qy.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n", "plt.errorbar(ring.locations().cpu().numpy(), dqy.cpu().numpy(), fmt='-', color='red', marker='o', ms=8, alpha=1)\n", "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "id": "fd1e8724-ef08-44e4-ad0f-bb59a763afda", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor(0.0019, dtype=torch.float64)\n", "tensor(0.0009, dtype=torch.float64)\n", "tensor(0.0005, dtype=torch.float64)\n", "tensor(0.0002, dtype=torch.float64)\n", "tensor(0.0001, dtype=torch.float64)\n", "tensor(5.6358e-05, dtype=torch.float64)\n", "tensor(2.8163e-05, dtype=torch.float64)\n", "tensor(1.4078e-05, dtype=torch.float64)\n", "tensor(7.0379e-06, dtype=torch.float64)\n", "tensor(3.5187e-06, dtype=torch.float64)\n", "tensor(1.7593e-06, dtype=torch.float64)\n", "tensor(8.7964e-07, dtype=torch.float64)\n", "tensor(4.3982e-07, dtype=torch.float64)\n", "tensor(2.1991e-07, dtype=torch.float64)\n", "tensor(1.0996e-07, dtype=torch.float64)\n", "tensor(5.4978e-08, dtype=torch.float64)\n" ] } ], "source": [ "# Correction lool (use measured orbit and model matrix)\n", "\n", "# Given measured orbit values qx and qy (differences with reference orbit)\n", "# New corrector settings are computed and applied\n", "# Orbit is remeasured and procedure is repeated\n", "\n", "cx = 50.0E-6*torch.randn_like(cx)\n", "cy = 50.0E-6*torch.randn_like(cy)\n", "\n", "for _ in range(16):\n", " points, *_ = orbit(ring, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=16, epsilon=1.0E-12)\n", " qx, _, qy, _ = points.T\n", " dcx, dcy = - 0.5*(torch.linalg.pinv(orm) @ torch.cat([qx, qy])).reshape(1 + 1, -1)\n", " cx += dcx\n", " cy += dcy\n", " print(torch.cat([qx, qy]).norm())" ] }, { "cell_type": "code", "execution_count": 12, "id": "bdab1068-63f5-41c3-9772-5f19454e068b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor(0.0013, dtype=torch.float64)\n", "tensor(0.0006, dtype=torch.float64)\n", "tensor(0.0003, dtype=torch.float64)\n", "tensor(0.0002, dtype=torch.float64)\n", "tensor(7.8633e-05, dtype=torch.float64)\n", "tensor(3.9300e-05, dtype=torch.float64)\n", "tensor(1.9644e-05, dtype=torch.float64)\n", "tensor(9.8195e-06, dtype=torch.float64)\n", "tensor(4.9086e-06, dtype=torch.float64)\n", "tensor(2.4538e-06, dtype=torch.float64)\n", "tensor(1.2266e-06, dtype=torch.float64)\n", "tensor(6.1319e-07, dtype=torch.float64)\n", "tensor(3.0653e-07, dtype=torch.float64)\n", "tensor(1.5324e-07, dtype=torch.float64)\n", "tensor(7.6602e-08, dtype=torch.float64)\n", "tensor(3.8294e-08, dtype=torch.float64)\n" ] } ], "source": [ "# In the above, errors were passed as deviaton variables\n", "# Another option is to add errors to the main attributes\n", "\n", "# Generate lattice with errors (errors are added to the main attributes)\n", "\n", "error:Line = ring.clone()\n", "\n", "cx = 50.0E-6*torch.randn_like(cx)\n", "cy = 50.0E-6*torch.randn_like(cx)\n", "\n", "index = 0\n", "label = ''\n", "\n", "for line in error.sequence:\n", " for element in line:\n", " if element.__class__.__name__ == 'Corrector':\n", " if label != element.name:\n", " index +=1\n", " label = element.name\n", " element.cx = cx[index - 1].item()\n", " element.cy = cy[index - 1].item()\n", "\n", "# Perform correction\n", "\n", "cx = torch.zeros_like(cx)\n", "cy = torch.zeros_like(cx)\n", "\n", "for _ in range(16):\n", " points, *_ = orbit(error, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=16, epsilon=1.0E-12)\n", " qx, _, qy, _ = points.T\n", " dcx, dcy = - 0.5*(torch.linalg.pinv(orm) @ torch.cat([qx, qy])).reshape(1 + 1, -1)\n", " cx += dcx\n", " cy += dcy\n", " print(torch.cat([qx, qy]).norm())" ] }, { "cell_type": "code", "execution_count": 13, "id": "30c1f451-d697-483a-aa5c-df0e4f7dd2de", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([ 0.0007, -0.0005, -0.0005, -0.0012], dtype=torch.float64)\n", "tensor([ 0.0007, -0.0005, -0.0005, -0.0012], dtype=torch.float64)\n", "True\n", "\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Add alignment and focusing errors to quadrupoles\n", "\n", "# Note, adding the same alignmet elemets to parts is not valid for all types of alignmet errors\n", "\n", "error:Line = ring.clone()\n", "\n", "n_quad = error.describe['Quadrupole']\n", "\n", "dx = 100.0E-6*torch.randn(n_quad, dtype=torch.float64)\n", "dy = 100.0E-6*torch.randn(n_quad, dtype=torch.float64)\n", "\n", "kn = 0.1*torch.randn(n_quad, dtype=torch.float64)\n", "ks = 0.1*torch.randn(n_quad, dtype=torch.float64)\n", "\n", "index = 0\n", "label = ''\n", "\n", "for line in error.sequence:\n", " for element in line:\n", " if element.__class__.__name__ == 'Quadrupole':\n", " if label != element.name:\n", " index +=1\n", " label = element.name\n", " element.dx = dx[index - 1].item()\n", " element.dy = dy[index - 1].item()\n", " element.kn = (element.kn + kn[index - 1]).item()\n", " element.ks = (element.ks + ks[index - 1]).item()\n", "\n", "# Compute closed orbit with zero corrector\n", "# Note, alignment is on\n", "\n", "cx = torch.zeros_like(cx)\n", "cy = torch.zeros_like(cx)\n", "\n", "points, *_ = orbit(error, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=True, advance=True, full=False, limit=16, epsilon=1.0E-12)\n", "\n", "# Test closed orbit\n", "\n", "point, *_ = points\n", "\n", "print(point)\n", "print(error(point, alignment=True))\n", "print(torch.allclose(point, error(point, alignment=True), rtol=1.0E-12, atol=1.0E-12))\n", "print()\n", "\n", "# Plot orbit\n", "\n", "qx_initial, _, qy_initial, _ = points.T\n", "\n", "plt.figure(figsize=(16, 2))\n", "plt.errorbar(ring.locations().cpu().numpy(), qx_initial.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n", "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "plt.figure(figsize=(16, 2))\n", "plt.errorbar(ring.locations().cpu().numpy(), qy_initial.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n", "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "id": "0900d23f-34f6-428c-8af6-dce1cb69214b", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compure ORM for model with errors (measured ORM)\n", "\n", "n_kick = ring.describe['Corrector']\n", "\n", "cx = torch.tensor(n_kick*[0.0], dtype=torch.float64)\n", "cy = torch.tensor(n_kick*[0.0], dtype=torch.float64)\n", "\n", "pox, *_ = parametric_orbit(error,\n", " fp,\n", " [cx],\n", " (1, 'cx', ['Corrector'], None, None),\n", " alignment=False,\n", " advance=True, \n", " full=False)\n", "\n", "\n", "poy, *_ = parametric_orbit(error,\n", " fp,\n", " [cy],\n", " (1, 'cy', ['Corrector'], None, None),\n", " alignment=False,\n", " advance=True, \n", " full=False)\n", "\n", "chop(pox)\n", "chop(poy)\n", "\n", "cx = torch.tensor(n_kick*[0.0], dtype=torch.float64)\n", "cy = torch.tensor(n_kick*[0.0], dtype=torch.float64)\n", "\n", "cxy = torch.cat([cx, cy])\n", "orm_error = torch.func.jacrev(qxqy)(cxy, pox, poy)\n", "\n", "data = orm.clone()\n", "data[data==0.0] = torch.nan\n", "plt.figure(figsize=(34/4, 72/4))\n", "img = plt.imshow(data.cpu().numpy(), cmap='magma', interpolation='nearest')\n", "cax = plt.gcf().add_axes([plt.gca().get_position().x1 + 0.01, plt.gca().get_position().y0, 0.02, plt.gca().get_position().height])\n", "plt.colorbar(img, cax=cax)\n", "plt.show()\n", "\n", "data = orm_error.clone()\n", "data[data==0.0] = torch.nan\n", "plt.figure(figsize=(34/4, 72/4))\n", "img = plt.imshow(data.cpu().numpy(), cmap='magma', interpolation='nearest')\n", "cax = plt.gcf().add_axes([plt.gca().get_position().x1 + 0.01, plt.gca().get_position().y0, 0.02, plt.gca().get_position().height])\n", "plt.colorbar(img, cax=cax)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 15, "id": "929d2f2f-362e-4230-99c4-c84121e2a2f3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor(0.0064, dtype=torch.float64)\n", "tensor(0.0020, dtype=torch.float64)\n", "tensor(0.0006, dtype=torch.float64)\n", "tensor(0.0002, dtype=torch.float64)\n" ] } ], "source": [ "# Find corrector settings to minimize orbit distortion (model ORM)\n", "\n", "cx = torch.zeros_like(cx)\n", "cy = torch.zeros_like(cx)\n", "\n", "for _ in range(4):\n", " points, *_ = orbit(error, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=True, advance=True, full=False, limit=16, epsilon=1.0E-12)\n", " qx, _, qy, _ = points.T\n", " dcx, dcy = - 0.75*(torch.linalg.pinv(orm) @ torch.cat([qx, qy])).reshape(1 + 1, -1)\n", " cx += dcx\n", " cy += dcy\n", " print(torch.cat([qx, qy]).norm())\n", "\n", "qx_model = qx.clone()\n", "qy_model = qy.clone()" ] }, { "cell_type": "code", "execution_count": 16, "id": "1c90bef2-eb88-48af-901c-f6ce3bb5d791", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor(0.0064, dtype=torch.float64)\n", "tensor(0.0019, dtype=torch.float64)\n", "tensor(0.0005, dtype=torch.float64)\n", "tensor(0.0001, dtype=torch.float64)\n" ] } ], "source": [ "# Find corrector settings to minimize orbit distortion (measured ORM)\n", "\n", "cx = torch.zeros_like(cx)\n", "cy = torch.zeros_like(cx)\n", "\n", "for _ in range(4):\n", " points, *_ = orbit(error, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=True, advance=True, full=False, limit=16, epsilon=1.0E-12)\n", " qx, _, qy, _ = points.T\n", " dcx, dcy = - 0.75*(torch.linalg.pinv(orm_error) @ torch.cat([qx, qy])).reshape(1 + 1, -1)\n", " cx += dcx\n", " cy += dcy\n", " print(torch.cat([qx, qy]).norm())\n", "\n", "qx_error = qx.clone()\n", "qy_error = qy.clone()" ] }, { "cell_type": "code", "execution_count": 17, "id": "e1157612-bc87-41ef-9ad2-9c4dcadfa573", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Compare orbits after correction\n", "\n", "# qx\n", "\n", "plt.figure(figsize=(16, 2))\n", "plt.errorbar(ring.locations().cpu().numpy(), qx_initial.cpu().numpy(), fmt='-', color='black', marker='o', ms=8, alpha=0.75)\n", "plt.errorbar(ring.locations().cpu().numpy(), qx_model.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n", "plt.errorbar(ring.locations().cpu().numpy(), qx_error.cpu().numpy(), fmt='-', color='red', marker='o', ms=8, alpha=0.75)\n", "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "# qy\n", "\n", "plt.figure(figsize=(16, 2))\n", "plt.errorbar(ring.locations().cpu().numpy(), qy_initial.cpu().numpy(), fmt='-', color='black', marker='o', ms=8, alpha=0.75)\n", "plt.errorbar(ring.locations().cpu().numpy(), qy_model.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n", "plt.errorbar(ring.locations().cpu().numpy(), qy_error.cpu().numpy(), fmt='-', color='red', marker='o', ms=8, alpha=0.75)\n", "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n", "plt.tight_layout()\n", "plt.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 }