{ "cells": [ { "cell_type": "markdown", "id": "f2810caf-9a8e-4947-b3e6-63e5276fd258", "metadata": {}, "source": [ "# Fit - equality constraint" ] }, { "cell_type": "code", "execution_count": 1, "id": "840b6e19-d810-4bcf-815e-3e3849e52d3f", "metadata": {}, "outputs": [], "source": [ "import nexus as nx\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "id": "c9ab7c29-7218-4417-9bf4-0b53e610dcdf", "metadata": {}, "outputs": [], "source": [ "# load example specturm\n", "detuning, intensity = nx.data.Load(\"spectrum_equality.txt\",\n", " x_index = 0,\n", " intensity_index = 1)" ] }, { "cell_type": "code", "execution_count": 3, "id": "a89ac094-78fe-4453-ba2a-3ef3553df59d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Run Fit instance with id: test fit \n", "\n", "Starting fit with 1 measurement data set(s) and 4 fit parameter(s):\n", "\n", " no. | id | initial value | min | max\n", " 0 | ES scaling | 88182.9 | 0 | 8.81829e+06\n", " 1 | ES backgr | 7777.25 | 0 | 777725\n", " 2 | isomer | 0.8 | 0 | 2\n", " 3 | mag field 1 | 32 | 25 | 35\n", "\n", "Using 1 equality constraint(s) on parameter(s):\n", "\n", " no. | id | value\n", " 0 | mag field 2 | 9\n", "\n", "Using 0 inequality constraint(s).\n", "\n", "\n", "Calling ceres solver with fit method LevMar\n", "\n", "Ceres Solver Report: Iterations: 6, Initial cost: 8.795305e+04, Final cost: 2.348090e+02, Termination: CONVERGENCE\n", "\n", "Gradient error analysis.\n", "\n", "\n", "Fit performed with algorithm:\n", "LevMar\n", "Error analysis:\n", "Gradient\n", "\n", "Using 4 fit parameter(s):\n", "\n", " no. | id | fit value | +/- std dev | initial value | min | max\n", " 0 | ES scaling | 99814 | 183.948 | 88182.9 | 0 | 8.81829e+06\n", " 1 | ES backgr | 1152.35 | 138.011 | 7777.25 | 0 | 777725\n", " 2 | isomer | 1.00012 | 0.000419557 | 0.8 | 0 | 2\n", " 3 | mag field 1 | 33.0025 | 0.00392666 | 32 | 25 | 35\n", "\n", "Correlation matrix:\n", "\n", " no. | 0 1 2 3 \n", " -----|------------------------------------\n", " 0 | 1.000 -0.977 0.001 0.041 \n", " 1 | -0.977 1.000 -0.001 -0.042 \n", " 2 | 0.001 -0.001 1.000 0.002 \n", " 3 | 0.041 -0.042 0.002 1.000 \n", "\n", "Using 1 equality constraint(s) on parameter(s):\n", "\n", " no. | id | value\n", " 0 | mag field 2 | 10.003\n", "\n", "and 0 inequality constraint(s).\n", "\n", "Total cost = 2.348e+02\n", "\n", "cost for each FitMeasurement is:\n", "\n", " no. | id | cost | %\n", " 0 | energy spec | 2.348e+02 | 100.000\n", "\n", "Fit instance with id \"test fit\" finished.\n", "\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#setup fit parameters\n", "isomer = nx.Var(0.8, min = 0, max = 2, fit = True, id=\"isomer\")\n", "\n", "mag_1 = nx.Var(value = 32, min = 25, max = 35, fit = True, id = \"mag field 1\")\n", "\n", "# create dependent fit parameter\n", "# we assume that the magnetic fields of the two sites have a difference of 23 T\n", "# mag2 = mag1 - 23\n", "def equality_mag2():\n", " return mag_1.value - 23\n", "\n", "mag_2 = nx.Var(value = 14, equality = equality_mag2, id = \"mag field 2\")\n", "\n", "# assign to sites\n", "site1 = nx.Hyperfine(\n", " id = \"site 1\",\n", " weight = 0.5,\n", " isomer = isomer,\n", " magnetic_field = mag_1,\n", " isotropic = False)\n", "\n", "site2 = nx.Hyperfine(\n", " id = \"site 2\",\n", " weight = 0.5,\n", " isomer = isomer,\n", " magnetic_field = mag_2,\n", " isotropic = False)\n", "\n", "#create sample\n", "lay_Fe = nx.Layer(id = \"Fe\",\n", " material = nx.Material.Template(nx.lib.material.Fe_enriched),\n", " thickness = 3000)\n", "\n", "lay_Fe.material.hyperfine_sites = [site1, site2]\n", "\n", "sample = nx.Sample(id = \"sample\",\n", " layers = [lay_Fe],\n", " geometry = \"f\")\n", "\n", "beam = nx.Beam()\n", "beam.LinearSigma()\n", "\n", "exp = nx.Experiment(beam = beam,\n", " objects = [sample],\n", " isotope = nx.moessbauer.Fe57,\n", " id = \"my exp\")\n", "\n", "energy_spec = nx.EnergySpectrum(exp,\n", " detuning,\n", " intensity_data = intensity,\n", " id = \"energy spec\")\n", "\n", "energy_spec()\n", "energy_spec.Plot()\n", "\n", "fit = nx.Fit([energy_spec], id = \"test fit\")\n", "fit()\n", "\n", "energy_spec.Plot()" ] } ], "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": "3.12.0" } }, "nbformat": 4, "nbformat_minor": 5 }