diff --git a/CMakeLists.txt b/CMakeLists.txt index a3d96cc4..995abd97 100644 --- a/CMakeLists.txt +++ b/CMakeLists.txt @@ -62,7 +62,6 @@ option(AARE_FETCH_PYBIND11 "Use FetchContent to download pybind11" ON) option(AARE_FETCH_CATCH "Use FetchContent to download catch2" ON) option(AARE_FETCH_JSON "Use FetchContent to download nlohmann::json" ON) option(AARE_FETCH_ZMQ "Use FetchContent to download libzmq" ON) -option(AARE_FETCH_LMFIT "Use FetchContent to download lmfit" ON) option(AARE_FETCH_MINUIT2 "Use FetchContent to download Minuit2" ON) option(AARE_WARNINGS_AS_ERRORS "Treat warnings as errors during compilation" @@ -87,8 +86,8 @@ if(AARE_SYSTEM_LIBRARIES) set(AARE_FETCH_ZMQ OFF CACHE BOOL "Disabled FetchContent for libzmq" FORCE) - # Still fetch lmfit and Minuit2 when setting AARE_SYSTEM_LIBRARIES since these - # are not available on conda-forge + # Still fetch Minuit2 when setting AARE_SYSTEM_LIBRARIES since it is not + # available on conda-forge endif() if(AARE_BENCHMARKS) @@ -97,61 +96,6 @@ endif() set(CMAKE_EXPORT_COMPILE_COMMANDS ON) -if(AARE_FETCH_LMFIT) - # TODO! Should we fetch lmfit from the web or inlcude a tar.gz in the repo? - set(LMFIT_PATCH_COMMAND git apply - ${CMAKE_CURRENT_SOURCE_DIR}/patches/lmfit.patch) - - # For cmake < 3.28 we can't supply EXCLUDE_FROM_ALL to FetchContent_Declare so - # we need this workaround - if(${CMAKE_VERSION} VERSION_LESS "3.28") - FetchContent_Declare( - lmfit - GIT_REPOSITORY https://jugit.fz-juelich.de/mlz/lmfit.git - GIT_TAG main - PATCH_COMMAND ${LMFIT_PATCH_COMMAND} - UPDATE_DISCONNECTED 1) - else() - FetchContent_Declare( - lmfit - GIT_REPOSITORY https://jugit.fz-juelich.de/mlz/lmfit.git - GIT_TAG main - PATCH_COMMAND ${LMFIT_PATCH_COMMAND} - UPDATE_DISCONNECTED 1 - EXCLUDE_FROM_ALL 1) - endif() - - # Disable what we don't need from lmfit - set(BUILD_TESTING - OFF - CACHE BOOL "") - set(LMFIT_CPPTEST - OFF - CACHE BOOL "") - set(LIB_MAN - OFF - CACHE BOOL "") - set(LMFIT_CPPTEST - OFF - CACHE BOOL "") - set(BUILD_SHARED_LIBS - OFF - CACHE BOOL "") - - if(${CMAKE_VERSION} VERSION_LESS "3.28") - if(NOT lmfit_POPULATED) - FetchContent_Populate(lmfit) - add_subdirectory(${lmfit_SOURCE_DIR} ${lmfit_BINARY_DIR} EXCLUDE_FROM_ALL) - endif() - else() - FetchContent_MakeAvailable(lmfit) - endif() - - set_property(TARGET lmfit PROPERTY POSITION_INDEPENDENT_CODE ON) -else() - find_package(lmfit REQUIRED) -endif() - if(AARE_FETCH_MINUIT2) # We are building Minuit2 from sources. @@ -457,8 +401,7 @@ target_link_libraries( aare_core PUBLIC fmt::fmt nlohmann_json::nlohmann_json ${STD_FS_LIB} # from # helpers.cmake - PRIVATE aare_compiler_flags Threads::Threads $ - $) + PRIVATE aare_compiler_flags Threads::Threads $) target_include_directories( aare_core SYSTEM @@ -490,6 +433,7 @@ if(AARE_TESTS) ${CMAKE_CURRENT_SOURCE_DIR}/src/defs.test.cpp ${CMAKE_CURRENT_SOURCE_DIR}/src/decode.test.cpp ${CMAKE_CURRENT_SOURCE_DIR}/src/Dtype.test.cpp + ${CMAKE_CURRENT_SOURCE_DIR}/src/Fit.test.cpp ${CMAKE_CURRENT_SOURCE_DIR}/src/Frame.test.cpp ${CMAKE_CURRENT_SOURCE_DIR}/src/DetectorGeometry.test.cpp ${CMAKE_CURRENT_SOURCE_DIR}/src/Interpolation.test.cpp diff --git a/RELEASE.md b/RELEASE.md index 1b51a49a..9739ab2e 100644 --- a/RELEASE.md +++ b/RELEASE.md @@ -1,5 +1,17 @@ # Release notes +## Next + +### API Changes: + +- Removed the lmfit dependency and the legacy ``fit_gaus``, ``fit_pol1``, + ``fit_scurve``, and ``fit_scurve2`` APIs. Use ``Gaussian``, ``Pol1``, + ``RisingScurve``, or ``FallingScurve`` and call ``model.fit(...)`` (or + ``fit(model, ...)``) instead. +- Removed the legacy ``gaus``, ``pol1``, ``scurve``, and ``scurve2`` function + evaluators. Model objects are callable and provide the replacement, for + example ``Gaussian()(x, par)``. + ## 2026.7.2 @@ -151,4 +163,3 @@ dhanya.thattil@psi.ch - diff --git a/benchmarks/fit_benchmark.cpp b/benchmarks/fit_benchmark.cpp index 81d5451b..626bde8d 100644 --- a/benchmarks/fit_benchmark.cpp +++ b/benchmarks/fit_benchmark.cpp @@ -75,24 +75,7 @@ static void report_accuracy(benchmark::State &state, const TestCase &tc, // Benchmarks // ---------- -// 1. lmcurve -static void BM_FitGausLm(benchmark::State &state) { - const auto &tc = get_test_cases()[state.range(0)]; - auto data = generate_gaussian_data(tc); - auto xv = data.x.view(); - auto yv = data.y.view(); - - aare::NDArray result; - for (auto _ : state) { - result = aare::fit_gaus(xv, yv); - benchmark::DoNotOptimize(result.data()); - } - - report_accuracy(state, tc, result); - state.SetLabel(tc.name); -} - -// 2. Minuit2, analytic gradient (no Hesse) +// Minuit2, analytic gradient (no Hesse) static void BM_FitGausMinuitGrad(benchmark::State &state) { const auto &tc = get_test_cases()[state.range(0)]; auto data = generate_gaussian_data(tc); @@ -115,7 +98,7 @@ static void BM_FitGausMinuitGrad(benchmark::State &state) { state.SetLabel(tc.name); } -// 3. Minuit2, analytic gradient + Hesse +// Minuit2, analytic gradient + Hesse static void BM_FitGausMinuitGradHesse(benchmark::State &state) { const auto &tc = get_test_cases()[state.range(0)]; auto data = generate_gaussian_data(tc); @@ -145,8 +128,6 @@ static void BM_FitGausMinuitGradHesse(benchmark::State &state) { state.SetLabel(tc.name); } -BENCHMARK(BM_FitGausLm)->DenseRange(0, 5)->Unit(benchmark::kMicrosecond); - BENCHMARK(BM_FitGausMinuitGrad) ->DenseRange(0, 5) ->Unit(benchmark::kMicrosecond); @@ -155,4 +136,4 @@ BENCHMARK(BM_FitGausMinuitGradHesse) ->DenseRange(0, 5) ->Unit(benchmark::kMicrosecond); -BENCHMARK_MAIN(); \ No newline at end of file +BENCHMARK_MAIN(); diff --git a/docs/src/Requirements.rst b/docs/src/Requirements.rst index b0c370f8..7c44dbdc 100644 --- a/docs/src/Requirements.rst +++ b/docs/src/Requirements.rst @@ -14,7 +14,7 @@ Requirements To simplify deployment we build and statically link a few libraries. - fmt -- lmfit - https://jugit.fz-juelich.de/mlz/lmfit +- Minuit2 - nlohmann_json - pybind11 - ZeroMQ @@ -23,4 +23,4 @@ To simplify deployment we build and statically link a few libraries. - Sphinx - Breathe -- Doxygen \ No newline at end of file +- Doxygen diff --git a/docs/src/pyFit.rst b/docs/src/pyFit.rst index abaa3cf8..257f7414 100644 --- a/docs/src/pyFit.rst +++ b/docs/src/pyFit.rst @@ -1,19 +1,30 @@ - -Fit -======== +Fitting +------- .. py:currentmodule:: aare +Aare fits one-dimensional scans and three-dimensional pixel data with +Minuit2. Create a model object and call its :meth:`fit` method:: -**Functions** + model = Gaussian(compute_errors=True) + result = model.fit(x, y, y_err) -.. autofunction:: gaus +The model object is also callable, which evaluates it at the supplied points:: -.. autofunction:: pol1 + fitted_y = model(x, result["par"]) +The available models are ``Gaussian``, ``GaussianErfcPlateau``, +``GaussianChargeSharing``, ``GaussianChargeSharingKb``, ``Pol1``, ``Pol2``, +``RisingScurve``, and ``FallingScurve``. The module-level :func:`fit` function +accepts the same model objects when a functional interface is preferred. -**Fitting** +For three-dimensional data, pass an array with shape +``(rows, columns, scan_points)`` and select the worker count with +``n_threads``:: -.. autofunction:: fit_gaus + result = model.fit(x, image_data, image_errors, n_threads=8) -.. autofunction:: fit_pol1 \ No newline at end of file +The result dictionary contains ``par`` and ``chi2``. It also contains +``par_err`` when ``compute_errors`` is enabled. + +.. autofunction:: fit diff --git a/include/aare/Fit.hpp b/include/aare/Fit.hpp index a641e131..1a2fa55f 100644 --- a/include/aare/Fit.hpp +++ b/include/aare/Fit.hpp @@ -1,111 +1,11 @@ // SPDX-License-Identifier: MPL-2.0 #pragma once -#include -#include - #include "aare/FitModel.hpp" #include "aare/NDArray.hpp" -#include "aare/utils/par.hpp" -#include "aare/utils/task.hpp" namespace aare { -namespace func { -double gaus(const double x, const double *par); -NDArray gaus(NDView x, NDView par); - -double pol1(const double x, const double *par); -NDArray pol1(NDView x, NDView par); - -double scurve(const double x, const double *par); -NDArray scurve(NDView x, NDView par); - -double scurve2(const double x, const double *par); -NDArray scurve2(NDView x, NDView par); - -} // namespace func - -static constexpr int DEFAULT_NUM_THREADS = 4; - -/** - * @brief Fit a 1D Gaussian to data. - * @param data data to fit - * @param x x values - */ -NDArray fit_gaus(NDView x, NDView y); - -/** - * @brief Fit a 1D Gaussian to each pixel. Data layout [row, col, values] - * @param x x values - * @param y y values, layout [row, col, values] - * @param n_threads number of threads to use - */ -NDArray fit_gaus(NDView x, NDView y, - int n_threads = DEFAULT_NUM_THREADS); - -/** - * @brief Fit a 1D Gaussian with error estimates - * @param x x values - * @param y y values, layout [row, col, values] - * @param y_err error in y, layout [row, col, values] - * @param par_out output parameters - * @param par_err_out output error parameters - */ -void fit_gaus(NDView x, NDView y, NDView y_err, - NDView par_out, NDView par_err_out, - double &chi2); - -/** - * @brief Fit a 1D Gaussian to each pixel with error estimates. Data layout - * [row, col, values] - * @param x x values - * @param y y values, layout [row, col, values] - * @param y_err error in y, layout [row, col, values] - * @param par_out output parameters, layout [row, col, values] - * @param par_err_out output parameter errors, layout [row, col, values] - * @param n_threads number of threads to use - */ -void fit_gaus(NDView x, NDView y, NDView y_err, - NDView par_out, NDView par_err_out, - NDView chi2_out, int n_threads = DEFAULT_NUM_THREADS); - -NDArray fit_pol1(NDView x, NDView y); - -NDArray fit_pol1(NDView x, NDView y, - int n_threads = DEFAULT_NUM_THREADS); - -void fit_pol1(NDView x, NDView y, NDView y_err, - NDView par_out, NDView par_err_out, - double &chi2); - -// TODO! not sure we need to offer the different version in C++ -void fit_pol1(NDView x, NDView y, NDView y_err, - NDView par_out, NDView par_err_out, - NDView chi2_out, int n_threads = DEFAULT_NUM_THREADS); - -NDArray fit_scurve(NDView x, NDView y); -NDArray fit_scurve(NDView x, NDView y, - int n_threads); -void fit_scurve(NDView x, NDView y, - NDView y_err, NDView par_out, - NDView par_err_out, double &chi2); -void fit_scurve(NDView x, NDView y, - NDView y_err, NDView par_out, - NDView par_err_out, NDView chi2_out, - int n_threads); - -NDArray fit_scurve2(NDView x, NDView y); -NDArray fit_scurve2(NDView x, NDView y, - int n_threads); -void fit_scurve2(NDView x, NDView y, - NDView y_err, NDView par_out, - NDView par_err_out, double &chi2); -void fit_scurve2(NDView x, NDView y, - NDView y_err, NDView par_out, - NDView par_err_out, NDView chi2_out, - int n_threads); - // --------------------------------------------------------------------------- // Minuit2-based pixel fitting. // Template bodies and explicit instantiations live in src/Fit.cpp. diff --git a/patches/lmfit.patch b/patches/lmfit.patch deleted file mode 100644 index 22063bf6..00000000 --- a/patches/lmfit.patch +++ /dev/null @@ -1,13 +0,0 @@ -diff --git a/lib/CMakeLists.txt b/lib/CMakeLists.txt -index 4efb7ed..6533660 100644 ---- a/lib/CMakeLists.txt -+++ b/lib/CMakeLists.txt -@@ -11,7 +11,7 @@ target_compile_definitions(${lib} PRIVATE "LMFIT_EXPORT") # for Windows DLL expo - - target_include_directories(${lib} - PUBLIC -- $ -+ $ - $ - ) - diff --git a/python/CMakeLists.txt b/python/CMakeLists.txt index 5f877773..401bf26b 100644 --- a/python/CMakeLists.txt +++ b/python/CMakeLists.txt @@ -41,7 +41,6 @@ set(PYTHON_FILES aare/Cluster.py aare/calibration.py aare/experimental.py - aare/func.py aare/RawFile.py aare/transform.py aare/ScanParameters.py diff --git a/python/aare/__init__.py b/python/aare/__init__.py index c8db2e4e..84224613 100644 --- a/python/aare/__init__.py +++ b/python/aare/__init__.py @@ -26,7 +26,6 @@ from .Cluster import Cluster from ._aare import Gaussian, RisingScurve, FallingScurve, Pol1, Pol2, GaussianErfcPlateau, GaussianChargeSharing, GaussianChargeSharingKb from ._aare import fit -from ._aare import fit_gaus, fit_pol1, fit_scurve, fit_scurve2 from ._aare import Interpolator from ._aare import calculate_eta2, calculate_eta3, calculate_cross_eta3, calculate_full_eta2 from ._aare import reduce_to_2x2, reduce_to_3x3 @@ -42,9 +41,6 @@ from .ScanParameters import ScanParameters from .utils import random_pixels, random_pixel, flat_list, add_colorbar, Timer -#make functions available in the top level API -from .func import * - from .calibration import * from ._aare import apply_calibration, count_switching_pixels from ._aare import calculate_pedestal, calculate_pedestal_float, calculate_pedestal_g0, calculate_pedestal_g0_float diff --git a/python/aare/func.py b/python/aare/func.py deleted file mode 100644 index ed2ef0c2..00000000 --- a/python/aare/func.py +++ /dev/null @@ -1,2 +0,0 @@ -# SPDX-License-Identifier: MPL-2.0 -from ._aare import gaus, pol1, scurve, scurve2 \ No newline at end of file diff --git a/python/examples/fits.py b/python/examples/fits.py index 40172b22..f4037de1 100644 --- a/python/examples/fits.py +++ b/python/examples/fits.py @@ -1,106 +1,78 @@ # SPDX-License-Identifier: MPL-2.0 import matplotlib.pyplot as plt import numpy as np -import sys -sys.path.insert(0, '/home/kferjaoui/sw/aare/build') -from aare import fit_gaus, fit_pol1 -from aare import Gaussian, fit -from aare import pol1 -textpm = f"±" # -textmu = f"μ" # -textsigma = f"σ" # +from aare import Gaussian, Pol1 +textpm = "±" +textmu = "μ" +textsigma = "σ" # ================================= Gauss fit ================================= -# Parameters -mu = np.random.uniform(1, 100) # Mean of Gaussian -sigma = np.random.uniform(4, 20) # Standard deviation -num_points = 10000 # Number of points for smooth distribution -# noise_sigma = 10 - -# Generate Gaussian distribution -data = np.random.normal(mu, sigma, num_points) +mu = np.random.uniform(1, 100) +sigma = np.random.uniform(4, 20) +data = np.random.normal(mu, sigma, 10000) counts, edges = np.histogram(data, bins=100) -x = 0.5 * (edges[:-1] + edges[1:]) # proper bin centers +x = 0.5 * (edges[:-1] + edges[1:]) y = counts.astype(np.float64) - -# Poisson noise yerr = np.sqrt(np.maximum(y, 1)) -# yerr = np.abs(np.random.normal(0, noise_sigma, len(x))) -# Create subplot fig0, ax0 = plt.subplots(1, 1, num=0, figsize=(12, 8)) - -# Add the errors as error bars in the step plot ax0.errorbar(x, y, yerr=yerr, fmt=". ", capsize=5) ax0.grid() -# Fit with lmfit -result_lm = fit_gaus(x, y, yerr) -par_lm = result_lm["par"] -err_lm = result_lm["par_err"] -chi2_lm = result_lm["chi2"] -print("[lmfit] fit_gaus: ", par_lm, err_lm, chi2_lm) +gaussian = Gaussian(compute_errors=True) +result = gaussian.fit(x, y, yerr) +par = result["par"] +err = result["par_err"] +chi2 = result["chi2"] +print(f"Gaussian.fit: par={par}, err={err}, chi2={chi2}") -# Fit with Minuit2 + analytic gradient + Hesse errors -gaussian = Gaussian() -gaussian.compute_errors = True -result_m2 = gaussian.fit(x, y, yerr) -par_m2 = result_m2['par'] -err_m2 = result_m2['par_err'] -chi2_m2 = result_m2['chi2'] -print(f"[minuit2] gaussian.fit: par={par_m2}, err={err_m2}, chi2={chi2_m2}") - -x = np.linspace(x[0], x[-1], 1000) -ax0.plot(x, gaussian(x, par_lm), marker="", label="fit_gaus") -ax0.plot(x, gaussian(x, par_m2), marker="", linestyle=":", label="fit_gaus_minuit_grad") +x_plot = np.linspace(x[0], x[-1], 1000) +ax0.plot(x_plot, gaussian(x_plot, par), marker="", label="Gaussian.fit") ax0.legend() -ax0.set(xlabel="x", ylabel="Counts", +ax0.set( + xlabel="x", + ylabel="Counts", title=( - f"fit_gaus: A={par_lm[0]:0.2f}{textpm}{err_lm[0]:0.2f} " - f"{textmu}={par_lm[1]:0.2f}{textpm}{err_lm[1]:0.2f} " - f"{textsigma}={par_lm[2]:0.2f}{textpm}{err_lm[2]:0.2f}\n" - f"minuit_grad: A={par_m2[0]:0.2f}{textpm}{err_m2[0]:0.2f} " - f"{textmu}={par_m2[1]:0.2f}{textpm}{err_m2[1]:0.2f} " - f"{textsigma}={par_m2[2]:0.2f}{textpm}{err_m2[2]:0.2f}\n" + f"A={par[0]:0.2f}{textpm}{err[0]:0.2f} " + f"{textmu}={par[1]:0.2f}{textpm}{err[1]:0.2f} " + f"{textsigma}={par[2]:0.2f}{textpm}{err[2]:0.2f}\n" f"(truth: {textmu}={mu:0.2f}, {textsigma}={sigma:0.2f})" ), ) fig0.tight_layout() - -# ================================= pol1 fit ================================= -# Parameters +# ================================= Pol1 fit ================================= n_points = 40 - -# Generate random slope and intercept (origin) -slope = np.random.uniform(-10, 10) # Random slope between 0.5 and 2.0 -intercept = np.random.uniform(-10, 10) # Random intercept between -10 and 10 - -# Generate random x values +slope = np.random.uniform(-10, 10) +intercept = np.random.uniform(-10, 10) x_values = np.random.uniform(-10, 10, n_points) - -# Calculate y values based on the linear function y = mx + b + error errors = np.abs(np.random.normal(0, np.random.uniform(1, 5), n_points)) -var_points = np.random.normal(0, np.random.uniform(0.1, 2), n_points) -y_values = slope * x_values + intercept + var_points +y_values = slope * x_values + intercept + np.random.normal(0, 1, n_points) fig1, ax1 = plt.subplots(1, 1, num=1, figsize=(12, 8)) ax1.errorbar(x_values, y_values, yerr=errors, fmt=". ", capsize=5) -result_pol = fit_pol1(x_values, y_values, errors) -par = result_pol["par"] -err = result_pol["par_err"] -x = np.linspace(np.min(x_values), np.max(x_values), 1000) -ax1.plot(x, pol1(x, par), marker="") -ax1.set(xlabel="x", ylabel="y", title=f"a = {par[0]:0.2f}{textpm}{err[0]:0.2f}\n" - f"b = {par[1]:0.2f}{textpm}{err[1]:0.2f}\n" - f"(init: {slope:0.2f}, {intercept:0.2f})") +pol1 = Pol1(compute_errors=True) +result = pol1.fit(x_values, y_values, errors) +par = result["par"] +err = result["par_err"] + +x_plot = np.linspace(np.min(x_values), np.max(x_values), 1000) +ax1.plot(x_plot, pol1(x_plot, par), marker="") +ax1.set( + xlabel="x", + ylabel="y", + title=( + f"intercept = {par[0]:0.2f}{textpm}{err[0]:0.2f}\n" + f"slope = {par[1]:0.2f}{textpm}{err[1]:0.2f}\n" + f"(truth: {intercept:0.2f}, {slope:0.2f})" + ), +) fig1.tight_layout() plt.show() - diff --git a/python/src/fit.hpp b/python/src/fit.hpp index b07dadfa..82bff325 100644 --- a/python/src/fit.hpp +++ b/python/src/fit.hpp @@ -227,452 +227,6 @@ fit_dispatch(const aare::FitModel &model, } void define_fit_bindings(py::module &m) { - - // TODO! Evaluate without converting to double - m.def( - "gaus", - [](py::array_t x, - py::array_t par) { - auto x_view = make_view_1d(x); - auto par_view = make_view_1d(par); - auto y = new NDArray{aare::func::gaus(x_view, par_view)}; - return return_image_data(y); - }, - R"( - Evaluate a 1D Gaussian function for all points in x using parameters par. - - Parameters - ---------- - x : array_like - The points at which to evaluate the Gaussian function. - par : array_like - The parameters of the Gaussian function. The first element is the amplitude, the second element is the mean, and the third element is the standard deviation. - )", - py::arg("x"), py::arg("par")); - - m.def( - "pol1", - [](py::array_t x, - py::array_t par) { - auto x_view = make_view_1d(x); - auto par_view = make_view_1d(par); - auto y = new NDArray{aare::func::pol1(x_view, par_view)}; - return return_image_data(y); - }, - R"( - Evaluate a 1D polynomial function for all points in x using parameters par. (p0+p1*x) - - Parameters - ---------- - x : array_like - The points at which to evaluate the polynomial function. - par : array_like - The parameters of the polynomial function. The first element is the intercept, and the second element is the slope. - )", - py::arg("x"), py::arg("par")); - - m.def( - "scurve", - [](py::array_t x, - py::array_t par) { - auto x_view = make_view_1d(x); - auto par_view = make_view_1d(par); - auto y = - new NDArray{aare::func::scurve(x_view, par_view)}; - return return_image_data(y); - }, - R"( - Evaluate a 1D scurve function for all points in x using parameters par. - - Parameters - ---------- - x : array_like - The points at which to evaluate the scurve function. - par : array_like - The parameters of the scurve function. The first element is the background slope, the second element is the background intercept, the third element is the mean, the fourth element is the standard deviation, the fifth element is inflexion point count number, and the sixth element is C. - )", - py::arg("x"), py::arg("par")); - - m.def( - "scurve2", - [](py::array_t x, - py::array_t par) { - auto x_view = make_view_1d(x); - auto par_view = make_view_1d(par); - auto y = - new NDArray{aare::func::scurve2(x_view, par_view)}; - return return_image_data(y); - }, - R"( - Evaluate a 1D scurve2 function for all points in x using parameters par. - - Parameters - ---------- - x : array_like - The points at which to evaluate the scurve function. - par : array_like - The parameters of the scurve2 function. The first element is the background slope, the second element is the background intercept, the third element is the mean, the fourth element is the standard deviation, the fifth element is inflexion point count number, and the sixth element is C. - )", - py::arg("x"), py::arg("par")); - - m.def( - "fit_gaus", - [](py::array_t x, - py::array_t y, - int n_threads) { - if (y.ndim() == 3) { - auto par = new NDArray{}; - auto y_view = make_view_3d(y); - auto x_view = make_view_1d(x); - *par = aare::fit_gaus(x_view, y_view, n_threads); - return return_image_data(par); - } else if (y.ndim() == 1) { - auto par = new NDArray{}; - auto y_view = make_view_1d(y); - auto x_view = make_view_1d(x); - *par = aare::fit_gaus(x_view, y_view); - return return_image_data(par); - } else { - throw std::runtime_error("Data must be 1D or 3D"); - } - }, - R"( - Fit a 1D Gaussian to data. - - Parameters - ---------- - x : array_like - The x values. - y : array_like - The y values. - n_threads : int, optional - The number of threads to use. Default is 4. - )", - py::arg("x"), py::arg("y"), py::arg("n_threads") = 4); - - m.def( - "fit_gaus", - [](py::array_t x, - py::array_t y, - py::array_t y_err, - int n_threads) { - if (y.ndim() == 3) { - // Allocate memory for the output - // Need to have pointers to allow python to manage - // the memory - auto par = new NDArray({y.shape(0), y.shape(1), 3}); - auto par_err = - new NDArray({y.shape(0), y.shape(1), 3}); - auto chi2 = new NDArray({y.shape(0), y.shape(1)}); - - // Make views of the numpy arrays - auto y_view = make_view_3d(y); - auto y_view_err = make_view_3d(y_err); - auto x_view = make_view_1d(x); - - aare::fit_gaus(x_view, y_view, y_view_err, par->view(), - par_err->view(), chi2->view(), n_threads); - - return py::dict("par"_a = return_image_data(par), - "par_err"_a = return_image_data(par_err), - "chi2"_a = return_image_data(chi2), - "Ndf"_a = y.shape(2) - 3); - } else if (y.ndim() == 1) { - // Allocate memory for the output - // Need to have pointers to allow python to manage - // the memory - auto par = new NDArray({3}); - auto par_err = new NDArray({3}); - - // Decode the numpy arrays - auto y_view = make_view_1d(y); - auto y_view_err = make_view_1d(y_err); - auto x_view = make_view_1d(x); - - double chi2 = 0; - aare::fit_gaus(x_view, y_view, y_view_err, par->view(), - par_err->view(), chi2); - - return py::dict("par"_a = return_image_data(par), - "par_err"_a = return_image_data(par_err), - "chi2"_a = chi2, "Ndf"_a = y.size() - 3); - - } else { - throw std::runtime_error("Data must be 1D or 3D"); - } - }, - R"( - Fit a 1D Gaussian to data with error estimates. - - Parameters - ---------- - x : array_like - The x values. - y : array_like - The y values. - y_err : array_like - The error in the y values. - n_threads : int, optional - The number of threads to use. Default is 4. - )", - py::arg("x"), py::arg("y"), py::arg("y_err"), py::arg("n_threads") = 4); - - m.def( - "fit_pol1", - [](py::array_t x, - py::array_t y, - int n_threads) { - if (y.ndim() == 3) { - auto par = new NDArray{}; - - auto x_view = make_view_1d(x); - auto y_view = make_view_3d(y); - *par = aare::fit_pol1(x_view, y_view, n_threads); - return return_image_data(par); - } else if (y.ndim() == 1) { - auto par = new NDArray{}; - auto x_view = make_view_1d(x); - auto y_view = make_view_1d(y); - *par = aare::fit_pol1(x_view, y_view); - return return_image_data(par); - } else { - throw std::runtime_error("Data must be 1D or 3D"); - } - }, - py::arg("x"), py::arg("y"), py::arg("n_threads") = 4); - - m.def( - "fit_pol1", - [](py::array_t x, - py::array_t y, - py::array_t y_err, - int n_threads) { - if (y.ndim() == 3) { - auto par = new NDArray({y.shape(0), y.shape(1), 2}); - - auto par_err = - new NDArray({y.shape(0), y.shape(1), 2}); - - auto y_view = make_view_3d(y); - auto y_view_err = make_view_3d(y_err); - auto x_view = make_view_1d(x); - - auto chi2 = new NDArray({y.shape(0), y.shape(1)}); - - aare::fit_pol1(x_view, y_view, y_view_err, par->view(), - par_err->view(), chi2->view(), n_threads); - return py::dict("par"_a = return_image_data(par), - "par_err"_a = return_image_data(par_err), - "chi2"_a = return_image_data(chi2), - "Ndf"_a = y.shape(2) - 2); - - } else if (y.ndim() == 1) { - auto par = new NDArray({2}); - auto par_err = new NDArray({2}); - - auto y_view = make_view_1d(y); - auto y_view_err = make_view_1d(y_err); - auto x_view = make_view_1d(x); - - double chi2 = 0; - - aare::fit_pol1(x_view, y_view, y_view_err, par->view(), - par_err->view(), chi2); - return py::dict("par"_a = return_image_data(par), - "par_err"_a = return_image_data(par_err), - "chi2"_a = chi2, "Ndf"_a = y.size() - 2); - - } else { - throw std::runtime_error("Data must be 1D or 3D"); - } - }, - R"( - Fit a 1D polynomial to data with error estimates. - - Parameters - ---------- - x : array_like - The x values. - y : array_like - The y values. - y_err : array_like - The error in the y values. - n_threads : int, optional - The number of threads to use. Default is 4. - )", - py::arg("x"), py::arg("y"), py::arg("y_err"), py::arg("n_threads") = 4); - - //========= - m.def( - "fit_scurve", - [](py::array_t x, - py::array_t y, - int n_threads) { - if (y.ndim() == 3) { - auto par = new NDArray{}; - - auto x_view = make_view_1d(x); - auto y_view = make_view_3d(y); - *par = aare::fit_scurve(x_view, y_view, n_threads); - return return_image_data(par); - } else if (y.ndim() == 1) { - auto par = new NDArray{}; - auto x_view = make_view_1d(x); - auto y_view = make_view_1d(y); - *par = aare::fit_scurve(x_view, y_view); - return return_image_data(par); - } else { - throw std::runtime_error("Data must be 1D or 3D"); - } - }, - py::arg("x"), py::arg("y"), py::arg("n_threads") = 4); - - m.def( - "fit_scurve", - [](py::array_t x, - py::array_t y, - py::array_t y_err, - int n_threads) { - if (y.ndim() == 3) { - auto par = new NDArray({y.shape(0), y.shape(1), 6}); - - auto par_err = - new NDArray({y.shape(0), y.shape(1), 6}); - - auto y_view = make_view_3d(y); - auto y_view_err = make_view_3d(y_err); - auto x_view = make_view_1d(x); - - auto chi2 = new NDArray({y.shape(0), y.shape(1)}); - - aare::fit_scurve(x_view, y_view, y_view_err, par->view(), - par_err->view(), chi2->view(), n_threads); - return py::dict("par"_a = return_image_data(par), - "par_err"_a = return_image_data(par_err), - "chi2"_a = return_image_data(chi2), - "Ndf"_a = y.shape(2) - 2); - - } else if (y.ndim() == 1) { - auto par = new NDArray({2}); - auto par_err = new NDArray({2}); - - auto y_view = make_view_1d(y); - auto y_view_err = make_view_1d(y_err); - auto x_view = make_view_1d(x); - - double chi2 = 0; - - aare::fit_scurve(x_view, y_view, y_view_err, par->view(), - par_err->view(), chi2); - return py::dict("par"_a = return_image_data(par), - "par_err"_a = return_image_data(par_err), - "chi2"_a = chi2, "Ndf"_a = y.size() - 2); - - } else { - throw std::runtime_error("Data must be 1D or 3D"); - } - }, - R"( - Fit a 1D polynomial to data with error estimates. - - Parameters - ---------- - x : array_like - The x values. - y : array_like - The y values. - y_err : array_like - The error in the y values. - n_threads : int, optional - The number of threads to use. Default is 4. - )", - py::arg("x"), py::arg("y"), py::arg("y_err"), py::arg("n_threads") = 4); - - m.def( - "fit_scurve2", - [](py::array_t x, - py::array_t y, - int n_threads) { - if (y.ndim() == 3) { - auto par = new NDArray{}; - - auto x_view = make_view_1d(x); - auto y_view = make_view_3d(y); - *par = aare::fit_scurve2(x_view, y_view, n_threads); - return return_image_data(par); - } else if (y.ndim() == 1) { - auto par = new NDArray{}; - auto x_view = make_view_1d(x); - auto y_view = make_view_1d(y); - *par = aare::fit_scurve2(x_view, y_view); - return return_image_data(par); - } else { - throw std::runtime_error("Data must be 1D or 3D"); - } - }, - py::arg("x"), py::arg("y"), py::arg("n_threads") = 4); - - m.def( - "fit_scurve2", - [](py::array_t x, - py::array_t y, - py::array_t y_err, - int n_threads) { - if (y.ndim() == 3) { - auto par = new NDArray({y.shape(0), y.shape(1), 6}); - - auto par_err = - new NDArray({y.shape(0), y.shape(1), 6}); - - auto y_view = make_view_3d(y); - auto y_view_err = make_view_3d(y_err); - auto x_view = make_view_1d(x); - - auto chi2 = new NDArray({y.shape(0), y.shape(1)}); - - aare::fit_scurve2(x_view, y_view, y_view_err, par->view(), - par_err->view(), chi2->view(), n_threads); - return py::dict("par"_a = return_image_data(par), - "par_err"_a = return_image_data(par_err), - "chi2"_a = return_image_data(chi2), - "Ndf"_a = y.shape(2) - 2); - - } else if (y.ndim() == 1) { - auto par = new NDArray({6}); - auto par_err = new NDArray({6}); - - auto y_view = make_view_1d(y); - auto y_view_err = make_view_1d(y_err); - auto x_view = make_view_1d(x); - - double chi2 = 0; - - aare::fit_scurve2(x_view, y_view, y_view_err, par->view(), - par_err->view(), chi2); - return py::dict("par"_a = return_image_data(par), - "par_err"_a = return_image_data(par_err), - "chi2"_a = chi2, "Ndf"_a = y.size() - 2); - - } else { - throw std::runtime_error("Data must be 1D or 3D"); - } - }, - R"( - Fit a 1D polynomial to data with error estimates. - - Parameters - ---------- - x : array_like - The x values. - y : array_like - The y values. - y_err : array_like - The error in the y values. - n_threads : int, optional - The number of threads to use. Default is 4. - )", - py::arg("x"), py::arg("y"), py::arg("y_err"), py::arg("n_threads") = 4); - // ── Bind model classes ────────────────────────────────────────── bind_fit_model(m, "Gaussian"); bind_fit_model(m, "GaussianErfcPlateau"); @@ -794,4 +348,4 @@ void define_fit_bindings(py::module &m) { )", py::arg("model"), py::arg("x"), py::arg("y"), py::arg("y_err") = py::none(), py::arg("n_threads") = 4); -} \ No newline at end of file +} diff --git a/python/tests/test_Fit.py b/python/tests/test_Fit.py new file mode 100644 index 00000000..3a477b27 --- /dev/null +++ b/python/tests/test_Fit.py @@ -0,0 +1,15 @@ +# SPDX-License-Identifier: MPL-2.0 +import numpy as np +import aare + + + +def test_gaussian_model_evaluates_and_fits_data(): + x = np.linspace(-5.0, 5.0, 51) + expected = np.array([20.0, 0.5, 1.2]) + model = aare.Gaussian() + + y = model(x, expected) + result = model.fit(x, y) + + np.testing.assert_allclose(result["par"], expected, atol=2e-3) diff --git a/python/tests/test_Minuit2_gauss.ipynb b/python/tests/test_Minuit2_gauss.ipynb index 0a6bdd2a..0a28ec3b 100644 --- a/python/tests/test_Minuit2_gauss.ipynb +++ b/python/tests/test_Minuit2_gauss.ipynb @@ -1,488 +1,413 @@ { - "cells": - [ - { - "cell_type": "code", - "execution_count": 2, - "id": "efef8e20-6571-4561-8f0b-6048b57907de", - "metadata": {}, - "outputs": [], - "source": [ - "import time\n", - "import random\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from matplotlib.gridspec import GridSpec\n", - "import sys\n", - "sys.path.insert(0, '/home/ferjao_k/aare/build')\n", - "from aare import fit_gaus # lmfit\n", - "from aare import Gaussian, fit # minuit2" - ] + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "id": "efef8e20-6571-4561-8f0b-6048b57907de", + "metadata": {}, + "outputs": [], + "source": [ + "import time\n", + "import random\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.gridspec import GridSpec\n", + "from aare import Gaussian\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "35772e2c-37c6-4986-a9c0-7dca4a034827", + "metadata": {}, + "outputs": [], + "source": [ + "ROWS = 100\n", + "COLS = 100\n", + "N_SCAN = 100\n", + "NOISE_FRAC = 0.05\n", + "SEED = 42\n", + "N_THREADS = 4\n", + "\n", + "N_REPEATS = 7\n", + "N_WARMUP = 3 # untimed iterations (icache + branch predictor warmup)\n", + "COOLDOWN = 2.0 # seconds between (method, thread_count) pairs" + ] + }, + { + "cell_type": "markdown", + "id": "be455445-7df8-47cc-9f39-d2a38856e0bd", + "metadata": {}, + "source": [ + "## Data generator" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "06c8fddb-56d9-4f84-8b21-4ffd8b7bd26f", + "metadata": {}, + "outputs": [], + "source": [ + "def generate_3d_data(rows, cols, n_scan, noise_frac, seed):\n", + " \"\"\"\n", + " Generate a synthetic detector image stack where each pixel has a\n", + " Gaussian response curve with per-pixel variation in A, mu, sigma.\n", + "\n", + " Returns x (n_scan,), y (rows, cols, n_scan), y_err (rows, cols, n_scan),\n", + " and the ground-truth parameter arrays.\n", + " \"\"\"\n", + " rng = np.random.default_rng(seed)\n", + "\n", + " # Per-pixel true params each of shape: [rows, cols, 1]\n", + " A_true = rng.uniform(200, 1000, size=(rows, cols))\n", + " mu_true = rng.uniform(20, 80, size=(rows, cols))\n", + " sig_true = rng.uniform(3, 12, size=(rows, cols))\n", + " \n", + " # One common binned energy array\n", + " x = np.linspace(0, 100, n_scan) # shape [1, 1, nscan]\n", + "\n", + " # Build ground truth signals per-pixel\n", + " exponent = -0.5 * ((x[None, None, :] - mu_true[:, :, None]) / sig_true[:,:, None])**2 # shape [rows, cols, nscan]\n", + " y_clean = A_true[:, :, None] * np.exp(exponent)\n", + "\n", + " # Perturb with noise\n", + " noise_sigma = noise_frac * A_true[:, :, None] * np.ones_like(y_clean) # shape [rows, cols, nscan]\n", + " noise = rng.normal(0, noise_sigma)\n", + " y = y_clean + noise\n", + "\n", + " y_err = noise_sigma.copy()\n", + "\n", + " return x, y, y_err, A_true, mu_true, sig_true " + ] + }, + { + "cell_type": "markdown", + "id": "30ed6bb8-4798-497f-9990-4c518f885855", + "metadata": {}, + "source": [ + "## Profiling function" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dc0b52b6-9fc3-453d-b6eb-e325a2b8342e", + "metadata": {}, + "outputs": [], + "source": [ + "def bench(fn, n_warmup=N_WARMUP, n_repeats=N_REPEATS):\n", + " \"\"\"\n", + " Warmup then time `fn` over `n_repeats` calls.\n", + " Returns (last_result, list_of_walltimes_in_seconds).\n", + " \"\"\"\n", + " # warmup: primes icache, branch predictor, and lets CPU ramp to boost clock\n", + " for _ in range(n_warmup):\n", + " res = fn()\n", + "\n", + " times = []\n", + " for _ in range(n_repeats):\n", + " t0 = time.perf_counter()\n", + " res = fn()\n", + " t1 = time.perf_counter()\n", + " times.append(t1 - t0)\n", + " return res, times" + ] + }, + { + "cell_type": "markdown", + "id": "377fc820-95b2-48aa-b104-a272c50e4103", + "metadata": {}, + "source": [ + "# Quick check on small (2x2) frame" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9cc999b9-e0d8-4deb-ae29-e8bd0141534b", + "metadata": {}, + "outputs": [], + "source": [ + "# Generate 2 x 2 dataset of Gaussian-like profiles for each pixel\n", + "x2, y2, yerr2, true_A2, true_mu2, true_sig2 = generate_3d_data(\n", + " 2, 2, N_SCAN, NOISE_FRAC, SEED\n", + ")\n", + "model_g = Gaussian()\n", + "model_g.compute_errors = True\n", + "result = model_g.fit(x2, y2, yerr2)\n", + "\n", + "from pprint import pprint\n", + "print(\"== True Gaussian params == \")\n", + "print(\"A_true = \\n\", true_A2)\n", + "print(\"mu_true = \\n\", true_mu2)\n", + "print(\"sig_true = \\n\",true_sig2)\n", + "print(\"\\n\")\n", + "\n", + "print(\"== Fit results ==\")\n", + "par = result['par']\n", + "# print(par)\n", + "A_fit = par[:, :, 0]\n", + "mu_fit = par[:, :, 1]\n", + "sig_fit = par[:, :, 2]\n", + "print(\"A_fit = \\n\", A_fit)\n", + "print(\"mu_fit = \\n\", mu_fit)\n", + "print(\"sig_fit = \\n\", sig_fit)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a98a41f3-fd2e-4bfc-9ec6-0d23dd38e896", + "metadata": {}, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(2, 2, figsize=(12,8))\n", + "\n", + "# Gaussians in 2x2 frame: True vs Fit\n", + "for row in range(2):\n", + " for col in range(2):\n", + " ax[row, col].plot(x2, y2[row, col,:], label=\"data\")\n", + " ax[row, col].plot(x2, model_g(x2, result['par'][row, col,:]), linewidth=1, color=\"green\", label=\"minuit\")\n", + " ax[row, col].set_title(f\"Gaussian Fit to data in pixel [{row}, {col}]\")\n", + " ax[row, col].legend()" + ] + }, + { + "cell_type": "markdown", + "id": "fcf52481-0278-4f95-8676-829a6d61eff8", + "metadata": {}, + "source": [ + "## Fit data with different backends" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1f6bc651-80c1-41dd-8a05-7f15aba006aa", + "metadata": {}, + "outputs": [], + "source": [ + "# ===============\n", + "# DATA GENERATION\n", + "# ===============\n", + "print(f\"Generating synthetic data: {ROWS}x{COLS} pixels, \"\n", + " f\"{N_SCAN} scan points, noise_frac={NOISE_FRAC}\\n\")\n", + "\n", + "x, y, yerr, true_A, true_mu, true_sig = generate_3d_data(\n", + " ROWS, COLS, N_SCAN, NOISE_FRAC, SEED\n", + ")\n", + "\n", + "model = Gaussian()\n", + "print(f\"model.max_calls = {model.max_calls}\")\n", + "print(f\"model.tolerance = {model.tolerance}\")\n", + "print(\"model.compute_errors =\", model.compute_errors)\n", + "METHOD_DEFS = [\n", + " (\"Minuit2 (obj API)\",\n", + " lambda nt: lambda: model.fit(x, y, n_threads=nt),\n", + " \"#FF9800\", {\"linewidth\": 2.5, \"linestyle\": \":\"}),\n", + "]\n", + "\n", + "colors = {label: c for label, _, c, _ in METHOD_DEFS}\n", + "styles = {label: s for label, _, _, s in METHOD_DEFS}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5a417145-ce42-4c3a-a7bf-05ff97ba0450", + "metadata": {}, + "outputs": [], + "source": [ + "# ====================================\n", + "# SINGLE-CALL BENCHMARK (at N_THREADS)\n", + "# ====================================\n", + "def extract_result(label, res):\n", + " \"\"\"Normalize return values across fitters into a common dict.\"\"\"\n", + " if isinstance(res, dict):\n", + " out = {\"par\": res[\"par\"]}\n", + " if \"par_err\" in res:\n", + " out[\"par_err\"] = res[\"par_err\"]\n", + " if \"chi2\" in res:\n", + " out[\"chi2\"] = res[\"chi2\"]\n", + " return out\n", + " \n", + "methods = {}\n", + "for label, factory, _, _ in METHOD_DEFS:\n", + " time.sleep(COOLDOWN)\n", + " res, times = bench(factory(N_THREADS))\n", + " entry = extract_result(label, res)\n", + " entry[\"times\"] = times\n", + " methods[label] = entry\n", + "\n", + "# ---- Print summary ----\n", + "ndf = N_SCAN - 3\n", + "print(f\"{'Method':24s} {'time (ms)':>10s} {'med|dA|':>10s} {'med|dMu|':>10s} {'med|dSig|':>10s}\")\n", + "print(\"-\" * 80)\n", + "for name, m in methods.items():\n", + " par = m[\"par\"]\n", + " med_t = np.median(m[\"times\"]) * 1e3\n", + " dA = np.median(np.abs(par[:,:,0] - true_A))\n", + " dMu = np.median(np.abs(par[:,:,1] - true_mu))\n", + " dSig = np.median(np.abs(par[:,:,2] - true_sig))\n", + "\n", + " chi2_str = \"\"\n", + " if \"chi2\" in m:\n", + " chi2_str = f\" chi2/ndf={np.median(m['chi2'] / ndf):.4f}\"\n", + "\n", + " print(f\"[{name:22s}] {med_t:8.2f} ms \"\n", + " f\"{dA:10.3f} {dMu:10.4f} {dSig:10.4f}{chi2_str}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "55ecc77c-0823-408d-a811-8e4f4900f332", + "metadata": { + "scrolled": true }, - { - "cell_type": "code", - "execution_count": 3, - "id": "35772e2c-37c6-4986-a9c0-7dca4a034827", - "metadata": {}, - "outputs": [], - "source": [ - "ROWS = 100\n", - "COLS = 100\n", - "N_SCAN = 100\n", - "NOISE_FRAC = 0.05\n", - "SEED = 42\n", - "N_THREADS = 4\n", - "\n", - "N_REPEATS = 7\n", - "N_WARMUP = 3 # untimed iterations (icache + branch predictor warmup)\n", - "COOLDOWN = 2.0 # seconds between (method, thread_count) pairs" - ] - }, - { - "cell_type": "markdown", - "id": "be455445-7df8-47cc-9f39-d2a38856e0bd", - "metadata": {}, - "source": [ - "## Data generator" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "06c8fddb-56d9-4f84-8b21-4ffd8b7bd26f", - "metadata": {}, - "outputs": [], - "source": [ - "def generate_3d_data(rows, cols, n_scan, noise_frac, seed):\n", - " \"\"\"\n", - " Generate a synthetic detector image stack where each pixel has a\n", - " Gaussian response curve with per-pixel variation in A, mu, sigma.\n", - "\n", - " Returns x (n_scan,), y (rows, cols, n_scan), y_err (rows, cols, n_scan),\n", - " and the ground-truth parameter arrays.\n", - " \"\"\"\n", - " rng = np.random.default_rng(seed)\n", - "\n", - " # Per-pixel true params each of shape: [rows, cols, 1]\n", - " A_true = rng.uniform(200, 1000, size=(rows, cols))\n", - " mu_true = rng.uniform(20, 80, size=(rows, cols))\n", - " sig_true = rng.uniform(3, 12, size=(rows, cols))\n", - " \n", - " # One common binned energy array\n", - " x = np.linspace(0, 100, n_scan) # shape [1, 1, nscan]\n", - "\n", - " # Build ground truth signals per-pixel\n", - " exponent = -0.5 * ((x[None, None, :] - mu_true[:, :, None]) / sig_true[:,:, None])**2 # shape [rows, cols, nscan]\n", - " y_clean = A_true[:, :, None] * np.exp(exponent)\n", - "\n", - " # Perturb with noise\n", - " noise_sigma = noise_frac * A_true[:, :, None] * np.ones_like(y_clean) # shape [rows, cols, nscan]\n", - " noise = rng.normal(0, noise_sigma)\n", - " y = y_clean + noise\n", - "\n", - " y_err = noise_sigma.copy()\n", - "\n", - " return x, y, y_err, A_true, mu_true, sig_true " - ] - }, - { - "cell_type": "markdown", - "id": "30ed6bb8-4798-497f-9990-4c518f885855", - "metadata": {}, - "source": [ - "## Profiling function" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "dc0b52b6-9fc3-453d-b6eb-e325a2b8342e", - "metadata": {}, - "outputs": [], - "source": [ - "def bench(fn, n_warmup=N_WARMUP, n_repeats=N_REPEATS):\n", - " \"\"\"\n", - " Warmup then time `fn` over `n_repeats` calls.\n", - " Returns (last_result, list_of_walltimes_in_seconds).\n", - " \"\"\"\n", - " # warmup: primes icache, branch predictor, and lets CPU ramp to boost clock\n", - " for _ in range(n_warmup):\n", - " res = fn()\n", - "\n", - " times = []\n", - " for _ in range(n_repeats):\n", - " t0 = time.perf_counter()\n", - " res = fn()\n", - " t1 = time.perf_counter()\n", - " times.append(t1 - t0)\n", - " return res, times" - ] - }, - { - "cell_type": "markdown", - "id": "377fc820-95b2-48aa-b104-a272c50e4103", - "metadata": {}, - "source": [ - "# Quick check on small (2x2) frame" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "9cc999b9-e0d8-4deb-ae29-e8bd0141534b", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "== True Gaussian params == \n", - "A_true = \n", - " [[819.16483884 551.1027518 ]\n", - " [886.87833593 757.89442325]]\n", - "mu_true = \n", - " [[25.65064087 78.5373411 ]\n", - " [65.66838212 67.16385832]]\n", - "sig_true = \n", - " [[ 4.15302269 7.05347344]\n", - " [ 6.33718222 11.3408849 ]]\n", - "\n", - "\n", - "== Fit results ==\n", - "A_fit = \n", - " [[812.09277132 559.04069721]\n", - " [899.09335849 759.24481682]]\n", - "mu_fit = \n", - " [[25.6598209 78.40461782]\n", - " [65.52261318 66.84540995]]\n", - "sig_fit = \n", - " [[ 4.2778026 7.041045 ]\n", - " [ 6.29190225 11.34233504]]\n" - ] - } - ], - "source": [ - "# Generate 2 x 2 dataset of Gaussian-like profiles for each pixel\n", - "x2, y2, yerr2, true_A2, true_mu2, true_sig2 = generate_3d_data(\n", - " 2, 2, N_SCAN, NOISE_FRAC, SEED\n", - ")\n", - "model_g = Gaussian()\n", - "model_g.compute_errors = True\n", - "result = model_g.fit(x2, y2, yerr2)\n", - "\n", - "from pprint import pprint\n", - "print(\"== True Gaussian params == \")\n", - "print(\"A_true = \\n\", true_A2)\n", - "print(\"mu_true = \\n\", true_mu2)\n", - "print(\"sig_true = \\n\",true_sig2)\n", - "print(\"\\n\")\n", - "\n", - "print(\"== Fit results ==\")\n", - "par = result['par']\n", - "# print(par)\n", - "A_fit = par[:, :, 0]\n", - "mu_fit = par[:, :, 1]\n", - "sig_fit = par[:, :, 2]\n", - "print(\"A_fit = \\n\", A_fit)\n", - "print(\"mu_fit = \\n\", mu_fit)\n", - "print(\"sig_fit = \\n\", sig_fit)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "a98a41f3-fd2e-4bfc-9ec6-0d23dd38e896", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": - 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(2, 2, figsize=(12,8))\n", - "\n", - "# Gaussians in 2x2 frame: True vs Fit\n", - "for row in range(2):\n", - " for col in range(2):\n", - " ax[row, col].plot(x2, y2[row, col,:], label=\"data\")\n", - " ax[row, col].plot(x2, model_g(x2, result['par'][row, col,:]), linewidth=1, color=\"green\", label=\"minuit\")\n", - " ax[row, col].set_title(f\"Gaussian Fit to data in pixel [{row}, {col}]\")\n", - " ax[row, col].legend()" - ] - }, - { - "cell_type": "markdown", - "id": "fcf52481-0278-4f95-8676-829a6d61eff8", - "metadata": {}, - "source": [ - "## Fit data with different backends" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "1f6bc651-80c1-41dd-8a05-7f15aba006aa", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Generating synthetic data: 100x100 pixels, 100 scan points, noise_frac=0.05\n", - "\n", - "model.max_calls = 100\n", - "model.tolerance = 0.5\n", - "model.compute_errors = False\n" - ] - } - ], - "source": [ - "# ===============\n", - "# DATA GENERATION\n", - "# ===============\n", - "print(f\"Generating synthetic data: {ROWS}x{COLS} pixels, \"\n", - " f\"{N_SCAN} scan points, noise_frac={NOISE_FRAC}\\n\")\n", - "\n", - "x, y, yerr, true_A, true_mu, true_sig = generate_3d_data(\n", - " ROWS, COLS, N_SCAN, NOISE_FRAC, SEED\n", - ")\n", - "\n", - "model = Gaussian()\n", - "print(f\"model.max_calls = {model.max_calls}\")\n", - "print(f\"model.tolerance = {model.tolerance}\")\n", - "print(\"model.compute_errors =\", model.compute_errors)\n", - "METHOD_DEFS = [\n", - " (\"lmfit (LM)\",\n", - " lambda nt: lambda: fit_gaus(x, y, n_threads=nt),\n", - " \"#2196F3\", {\"linewidth\": 3.0, \"linestyle\": \"-\"}),\n", - "\n", - " (\"Minuit2 (obj API)\",\n", - " lambda nt: lambda: model.fit(x, y, n_threads=nt),\n", - " \"#FF9800\", {\"linewidth\": 2.5, \"linestyle\": \":\"}),\n", - "]\n", - "\n", - "colors = {label: c for label, _, c, _ in METHOD_DEFS}\n", - "styles = {label: s for label, _, _, s in METHOD_DEFS}" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "5a417145-ce42-4c3a-a7bf-05ff97ba0450", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Method time (ms) med|dA| med|dMu| med|dSig|\n", - "--------------------------------------------------------------------------------\n", - "[lmfit (LM) ] 90.30 ms 6.272 0.0940 0.0949\n", - "[Minuit2 (obj API) ] 59.60 ms 6.272 0.0940 0.0949 chi2/ndf=880.9946\n" - ] - } - ], - "source": - [ - "# ====================================\n", - "# SINGLE-CALL BENCHMARK (at N_THREADS)\n", - "# ====================================\n", - "def extract_result(label, res):\n", - " \"\"\"Normalize return values across fitters into a common dict.\"\"\"\n", - " if isinstance(res, dict):\n", - " out = {\"par\": res[\"par\"]}\n", - " if \"par_err\" in res:\n", - " out[\"par_err\"] = res[\"par_err\"]\n", - " if \"chi2\" in res:\n", - " out[\"chi2\"] = res[\"chi2\"]\n", - " return out\n", - " # fit_gaus without y_err returns a raw array\n", - " return {\"par\": res}\n", - " \n", - "methods = {}\n", - "for label, factory, _, _ in METHOD_DEFS:\n", - " time.sleep(COOLDOWN)\n", - " res, times = bench(factory(N_THREADS))\n", - " entry = extract_result(label, res)\n", - " entry[\"times\"] = times\n", - " methods[label] = entry\n", - "\n", - "# ---- Print summary ----\n", - "ndf = N_SCAN - 3\n", - "print(f\"{'Method':24s} {'time (ms)':>10s} {'med|dA|':>10s} {'med|dMu|':>10s} {'med|dSig|':>10s}\")\n", - "print(\"-\" * 80)\n", - "for name, m in methods.items():\n", - " par = m[\"par\"]\n", - " med_t = np.median(m[\"times\"]) * 1e3\n", - " dA = np.median(np.abs(par[:,:,0] - true_A))\n", - " dMu = np.median(np.abs(par[:,:,1] - true_mu))\n", - " dSig = np.median(np.abs(par[:,:,2] - true_sig))\n", - "\n", - " chi2_str = \"\"\n", - " if \"chi2\" in m:\n", - " chi2_str = f\" chi2/ndf={np.median(m['chi2'] / ndf):.4f}\"\n", - "\n", - " print(f\"[{name:22s}] {med_t:8.2f} ms \"\n", - " f\"{dA:10.3f} {dMu:10.4f} {dSig:10.4f}{chi2_str}\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "55ecc77c-0823-408d-a811-8e4f4900f332", - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "# ===============\n", - "# THREAD SCALING\n", - "# ===============\n", - "thread_counts = [1, 2, 4, 8, 16]\n", - "\n", - "thread_times = {label: [] for label, _, _, _ in METHOD_DEFS}\n", - "ttimes_stddev = {label: [] for label, _, _, _ in METHOD_DEFS}\n", - "\n", - "for nt in thread_counts:\n", - " # shuffle method order per thread count to decorrelate thermal bias\n", - " run_order = list(METHOD_DEFS)\n", - " random.shuffle(run_order)\n", - "\n", - " for label, factory, _, _ in run_order:\n", - " time.sleep(COOLDOWN)\n", - " _, times = bench(factory(nt))\n", - "\n", - " med = np.median(times) * 1e3\n", - " std = np.std(times) * 1e3\n", - " thread_times[label].append(med)\n", - " ttimes_stddev[label].append(std)\n", - "\n", - " per_px = med / (ROWS * COLS) * 1e3\n", - " per_px_std = std / (ROWS * COLS) * 1e3\n", - " print(f\" {label:22s} n_threads={nt:2d} \"\n", - " f\"{med:8.2f} ± {std:6.2f} ms \"\n", - " f\"({per_px:.4f} ± {per_px_std:.4f} μs/pixel)\")\n", - " print(\"\\n\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d5f3152d-be84-420e-8045-9c42ac5c24cb", - "metadata": {}, - "outputs": [], - "source": [ - "# =============================\n", - "# FIGURE 1: Residual histograms\n", - "# =============================\n", - "param_names = [\"A\", \"μ\", \"σ\"]\n", - "param_truths = [true_A, true_mu, true_sig]\n", - "\n", - "fig1, axes1 = plt.subplots(1, 3, figsize=(15, 5))\n", - "fig1.suptitle(f\"Parameter Residuals — {ROWS}×{COLS} pixels, {N_SCAN} scan points\",\n", - " fontsize=14, fontweight=\"bold\")\n", - "\n", - "for col, (pname, truth) in enumerate(zip(param_names, param_truths)):\n", - " ax = axes1[col]\n", - "\n", - " # collect residuals across all methods for shared bin edges\n", - " res_by_method = {}\n", - " all_res = []\n", - " for mname, m in methods.items():\n", - " residual = (m[\"par\"][:, :, col] - truth).ravel()\n", - " res_by_method[mname] = residual\n", - " all_res.append(residual)\n", - " all_res = np.concatenate(all_res)\n", - "\n", - " lo, hi = np.percentile(all_res, [0.5, 99.5])\n", - " edges = np.linspace(lo, hi, 101)\n", - "\n", - " for mname, r in res_by_method.items():\n", - " ax.hist(r, bins=edges, histtype=\"step\", label=mname,\n", - " color=colors[mname],\n", - " linewidth=styles[mname][\"linewidth\"],\n", - " linestyle=styles[mname][\"linestyle\"])\n", - "\n", - " ax.axvline(0, color=\"k\", linestyle=\"--\", linewidth=1, alpha=0.7)\n", - " ax.set_xlabel(f\"Fitted {pname} − True {pname}\")\n", - " ax.set_ylabel(\"Pixel count\")\n", - " ax.set_title(f\"Δ{pname}\")\n", - " ax.legend(fontsize=8)\n", - " ax.grid(alpha=0.3)\n", - "\n", - "fig1.tight_layout()\n", - "# fig1.savefig(\"fig1_residual_histograms.png\", dpi=150, bbox_inches=\"tight\")\n", - "# print(\"\\nSaved fig1_residual_histograms.png\")\n", - "\n", - "# ====================================================\n", - "# FIGURE 2: Performance — bar chart + thread scaling\n", - "# ====================================================\n", - "fig2 = plt.figure(figsize=(14, 5))\n", - "gs = GridSpec(1, 2, figure=fig2, width_ratios=[1, 1.3])\n", - "\n", - "# -- Left: bar chart at N_THREADS --\n", - "ax2a = fig2.add_subplot(gs[0])\n", - "names = list(methods.keys())\n", - "medians = [np.median(methods[n][\"times\"]) * 1e3 for n in names]\n", - "bars = ax2a.barh(names, medians,\n", - " color=[colors[n] for n in names],\n", - " edgecolor=\"white\", height=0.5)\n", - "ax2a.set_xlabel(\"Median wall time (ms)\")\n", - "ax2a.set_title(f\"Single call — {ROWS}×{COLS} px, {N_THREADS} threads\")\n", - "for bar, val in zip(bars, medians):\n", - " ax2a.text(bar.get_width() + max(medians) * 0.02,\n", - " bar.get_y() + bar.get_height() / 2,\n", - " f\"{val:.1f} ms\", va=\"center\", fontsize=10)\n", - "ax2a.grid(axis=\"x\", alpha=0.3)\n", - "ax2a.set_xlim(0, max(medians) * 1.25)\n", - "\n", - "# -- Right: thread scaling with error bars --\n", - "ax2b = fig2.add_subplot(gs[1])\n", - "for label, _, _, _ in METHOD_DEFS:\n", - " tt = thread_times[label]\n", - " sd = ttimes_stddev[label]\n", - " speedup = [tt[0] / t for t in tt]\n", - " # propagate uncertainty: S = t0/t → δS/S = sqrt((δt0/t0)² + (δt/t)²)\n", - " speedup_err = [\n", - " s * np.sqrt((sd[0] / tt[0])**2 + (sd[i] / tt[i])**2)\n", - " for i, s in enumerate(speedup)\n", - " ]\n", - " ax2b.errorbar(thread_counts, speedup, yerr=speedup_err,\n", - " fmt=\"o-\", label=label, color=colors[label],\n", - " linewidth=2, markersize=7, capsize=4)\n", - "\n", - "ax2b.plot(thread_counts, thread_counts, \"k--\", alpha=0.4, label=\"Ideal linear\")\n", - "ax2b.set_xlabel(\"Number of threads\")\n", - "ax2b.set_ylabel(\"Speedup vs 1 thread\")\n", - "ax2b.set_title(\"Thread scaling\")\n", - "ax2b.set_xticks(thread_counts)\n", - "ax2b.legend(fontsize=9)\n", - "ax2b.grid(alpha=0.3)\n", - "\n", - "fig2.tight_layout()\n", - "# fig2.savefig(\"fig2_performance.png\", dpi=150, bbox_inches=\"tight\")\n", - "# print(\"Saved fig2_performance.png\")\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "92a8c724-e139-45d4-a354-1b8408637ead", - "metadata": {}, - "outputs": [], - "source": [] - } - ], + "outputs": [], + "source": [ + "# ===============\n", + "# THREAD SCALING\n", + "# ===============\n", + "thread_counts = [1, 2, 4, 8, 16]\n", + "\n", + "thread_times = {label: [] for label, _, _, _ in METHOD_DEFS}\n", + "ttimes_stddev = {label: [] for label, _, _, _ in METHOD_DEFS}\n", + "\n", + "for nt in thread_counts:\n", + " # shuffle method order per thread count to decorrelate thermal bias\n", + " run_order = list(METHOD_DEFS)\n", + " random.shuffle(run_order)\n", + "\n", + " for label, factory, _, _ in run_order:\n", + " time.sleep(COOLDOWN)\n", + " _, times = bench(factory(nt))\n", + "\n", + " med = np.median(times) * 1e3\n", + " std = np.std(times) * 1e3\n", + " thread_times[label].append(med)\n", + " ttimes_stddev[label].append(std)\n", + "\n", + " per_px = med / (ROWS * COLS) * 1e3\n", + " per_px_std = std / (ROWS * COLS) * 1e3\n", + " print(f\" {label:22s} n_threads={nt:2d} \"\n", + " f\"{med:8.2f} \u00b1 {std:6.2f} ms \"\n", + " f\"({per_px:.4f} \u00b1 {per_px_std:.4f} \u03bcs/pixel)\")\n", + " print(\"\\n\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d5f3152d-be84-420e-8045-9c42ac5c24cb", + "metadata": {}, + "outputs": [], + "source": [ + "# =============================\n", + "# FIGURE 1: Residual histograms\n", + "# =============================\n", + "param_names = [\"A\", \"\u03bc\", \"\u03c3\"]\n", + "param_truths = [true_A, true_mu, true_sig]\n", + "\n", + "fig1, axes1 = plt.subplots(1, 3, figsize=(15, 5))\n", + "fig1.suptitle(f\"Parameter Residuals \u2014 {ROWS}\u00d7{COLS} pixels, {N_SCAN} scan points\",\n", + " fontsize=14, fontweight=\"bold\")\n", + "\n", + "for col, (pname, truth) in enumerate(zip(param_names, param_truths)):\n", + " ax = axes1[col]\n", + "\n", + " # collect residuals across all methods for shared bin edges\n", + " res_by_method = {}\n", + " all_res = []\n", + " for mname, m in methods.items():\n", + " residual = (m[\"par\"][:, :, col] - truth).ravel()\n", + " res_by_method[mname] = residual\n", + " all_res.append(residual)\n", + " all_res = np.concatenate(all_res)\n", + "\n", + " lo, hi = np.percentile(all_res, [0.5, 99.5])\n", + " edges = np.linspace(lo, hi, 101)\n", + "\n", + " for mname, r in res_by_method.items():\n", + " ax.hist(r, bins=edges, histtype=\"step\", label=mname,\n", + " color=colors[mname],\n", + " linewidth=styles[mname][\"linewidth\"],\n", + " linestyle=styles[mname][\"linestyle\"])\n", + "\n", + " ax.axvline(0, color=\"k\", linestyle=\"--\", linewidth=1, alpha=0.7)\n", + " ax.set_xlabel(f\"Fitted {pname} \u2212 True {pname}\")\n", + " ax.set_ylabel(\"Pixel count\")\n", + " ax.set_title(f\"\u0394{pname}\")\n", + " ax.legend(fontsize=8)\n", + " ax.grid(alpha=0.3)\n", + "\n", + "fig1.tight_layout()\n", + "# fig1.savefig(\"fig1_residual_histograms.png\", dpi=150, bbox_inches=\"tight\")\n", + "# print(\"\\nSaved fig1_residual_histograms.png\")\n", + "\n", + "# ====================================================\n", + "# FIGURE 2: Performance \u2014 bar chart + thread scaling\n", + "# ====================================================\n", + "fig2 = plt.figure(figsize=(14, 5))\n", + "gs = GridSpec(1, 2, figure=fig2, width_ratios=[1, 1.3])\n", + "\n", + "# -- Left: bar chart at N_THREADS --\n", + "ax2a = fig2.add_subplot(gs[0])\n", + "names = list(methods.keys())\n", + "medians = [np.median(methods[n][\"times\"]) * 1e3 for n in names]\n", + "bars = ax2a.barh(names, medians,\n", + " color=[colors[n] for n in names],\n", + " edgecolor=\"white\", height=0.5)\n", + "ax2a.set_xlabel(\"Median wall time (ms)\")\n", + "ax2a.set_title(f\"Single call \u2014 {ROWS}\u00d7{COLS} px, {N_THREADS} threads\")\n", + "for bar, val in zip(bars, medians):\n", + " ax2a.text(bar.get_width() + max(medians) * 0.02,\n", + " bar.get_y() + bar.get_height() / 2,\n", + " f\"{val:.1f} ms\", va=\"center\", fontsize=10)\n", + "ax2a.grid(axis=\"x\", alpha=0.3)\n", + "ax2a.set_xlim(0, max(medians) * 1.25)\n", + "\n", + "# -- Right: thread scaling with error bars --\n", + "ax2b = fig2.add_subplot(gs[1])\n", + "for label, _, _, _ in METHOD_DEFS:\n", + " tt = thread_times[label]\n", + " sd = ttimes_stddev[label]\n", + " speedup = [tt[0] / t for t in tt]\n", + " # propagate uncertainty: S = t0/t \u2192 \u03b4S/S = sqrt((\u03b4t0/t0)\u00b2 + (\u03b4t/t)\u00b2)\n", + " speedup_err = [\n", + " s * np.sqrt((sd[0] / tt[0])**2 + (sd[i] / tt[i])**2)\n", + " for i, s in enumerate(speedup)\n", + " ]\n", + " ax2b.errorbar(thread_counts, speedup, yerr=speedup_err,\n", + " fmt=\"o-\", label=label, color=colors[label],\n", + " linewidth=2, markersize=7, capsize=4)\n", + "\n", + "ax2b.plot(thread_counts, thread_counts, \"k--\", alpha=0.4, label=\"Ideal linear\")\n", + "ax2b.set_xlabel(\"Number of threads\")\n", + "ax2b.set_ylabel(\"Speedup vs 1 thread\")\n", + "ax2b.set_title(\"Thread scaling\")\n", + "ax2b.set_xticks(thread_counts)\n", + "ax2b.legend(fontsize=9)\n", + "ax2b.grid(alpha=0.3)\n", + "\n", + "fig2.tight_layout()\n", + "# fig2.savefig(\"fig2_performance.png\", dpi=150, bbox_inches=\"tight\")\n", + "# print(\"Saved fig2_performance.png\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "92a8c724-e139-45d4-a354-1b8408637ead", + "metadata": {}, + "outputs": [], + "source": [] + } + ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", diff --git a/python/tests/test_Minuit2_scurve_1d.ipynb b/python/tests/test_Minuit2_scurve_1d.ipynb index 62c5f230..9f033002 100644 --- a/python/tests/test_Minuit2_scurve_1d.ipynb +++ b/python/tests/test_Minuit2_scurve_1d.ipynb @@ -2,26 +2,19 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "efef8e20-6571-4561-8f0b-6048b57907de", "metadata": {}, "outputs": [], "source": [ "import time\n", - "import random\n", "import numpy as np\n", "np.set_printoptions(suppress=True, precision=6)\n", "\n", "import matplotlib.pyplot as plt\n", "from scipy.special import erf\n", - "\n", - "import sys\n", - "sys.path.insert(0, '/home/ferjao_k/sw/aare/build')\n", - "\n", - "from aare import fit_scurve, fit_scurve2 # lmfit\n", - "from aare import RisingScurve, FallingScurve, fit # minuit2 (object based API)\n", - "\n", - "from pprint import pprint" + "from aare import RisingScurve, FallingScurve\n", + "from pprint import pprint\n" ] }, { @@ -34,7 +27,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "35772e2c-37c6-4986-a9c0-7dca4a034827", "metadata": {}, "outputs": [], @@ -58,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "06c8fddb-56d9-4f84-8b21-4ffd8b7bd26f", "metadata": {}, "outputs": [], @@ -92,22 +85,10 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "9a0b3292-7c57-4483-aecc-7ef683ff0b62", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": - 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(12,4), sharex=True)\n", "\n", @@ -134,38 +115,11 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": null, "id": "37d2fda4-40b8-4ea2-8f2c-6c3f2384d158", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Paramter list of the Scurve:\n", - "['p0', 'p1', 'mu', 'sigma', 'A', 'C']\n", - "6 \n", - "\n", - "== Tuned fit settings ==\n", - "max_calls : 500\n", - "tolerance : 0.01\n", - "compute_erros: True\n", - "\n", - "\n", - "== Results ==\n", - "True rising params: [100. 0.25 60. 6. 120. 1. ]\n", - "lmfit rising result: [ 99.467831 0.287017 60.078405 5.715461 117.257939 0.967234]\n", - "minuit_grad (obj api ) rising result:\n", - "{'par': array([100. , 0.269137, 60.050193, 5.729932, 117.777635,\n", - " 0.984073]),\n", - " 'par_err': array([1. , 0.054406, 0.747753, 0.909864, 7.887499, 0.174058]),\n", - " 'chi2': array([7.351743])}\n" - ] - } - ], + "outputs": [], "source": [ - "res_r_lmfit = fit_scurve(x, y_rising)\n", - "\n", "model_r = RisingScurve()\n", "print(\"Paramter list of the Scurve:\")\n", "# print(model_r.GetParNames())\n", @@ -187,7 +141,6 @@ "res_r_munuit_obj = model_r.fit(x, y_rising, np.sqrt(y_rising))\n", "\n", "print(\"True rising params: \", p_true_rising)\n", - "print(\"lmfit rising result: \", res_r_lmfit)\n", "print(\"minuit_grad (obj api ) rising result:\")\n", "pprint(res_r_munuit_obj, sort_dicts=False)" ] @@ -202,26 +155,11 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": null, "id": "5ce22d2d-1adb-47d9-bf36-6cb535fa8b77", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "True falling params: [100. 0.25 60. 6. 120. -1. ]\n", - "lmfit falling result: [101.73448 0.225786 60.251971 6.092915 118.476735 -0.998677]\n", - "minuit_grad (obj api ) falling result\n", - "{'par': array([101.741754, 0.225723, 60.251604, 6.092887, 118.473268,\n", - " -0.998565]),\n", - " 'chi2': array([1865.728797])}\n" - ] - } - ], + "outputs": [], "source": [ - "res_f_lmfit = fit_scurve2(x, y_falling)\n", - "\n", "model_f = FallingScurve()\n", "model_f.SetParameter(2, 20) # set start p2 = 20\n", "model_f.SetParameter(4, 90) # set start p4 = 90\n", @@ -230,36 +168,22 @@ "res_f_munuit_obj = model_f.fit(x, y_falling)\n", "\n", "print(\"True falling params: \", p_true_falling)\n", - "print(\"lmfit falling result: \", res_f_lmfit)\n", "print(\"minuit_grad (obj api ) falling result\")\n", "pprint(res_f_munuit_obj, sort_dicts=False)" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "id": "fe72503a-fc77-4b17-9b17-b98055e2fc87", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": - 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(12,4))\n", "\n", "# rising\n", "ax[0].plot(x, y_true_rising, label=\"true\")\n", "ax[0].scatter(x, y_rising, s=12, label=\"data\")\n", - "ax[0].scatter(x, scurve(x, res_r_lmfit[:6]), s=20, marker=\"x\", label=\"lmfit\")\n", "ax[0].plot(x, model_r(x, res_r_munuit_obj['par']), linewidth=1, color=\"green\", label=\"minuit\")\n", "ax[0].set_title(\"Rising S-curve fits\")\n", "ax[0].legend()\n", @@ -267,7 +191,6 @@ "# falling\n", "ax[1].plot(x, y_true_falling, label=\"true\")\n", "ax[1].scatter(x, y_falling, s=12, label=\"data\")\n", - "ax[1].scatter(x, scurve2(x, res_f_lmfit[:6]), s=20, marker=\"x\", label=\"lmfit\")\n", "ax[1].plot(x, model_f(x, res_f_munuit_obj['par']), linewidth=1, color=\"green\", label=\"minuit\")\n", "ax[1].set_title(\"Falling S-curve fits\")\n", "ax[1].legend()\n", @@ -285,29 +208,13 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "id": "3ba40e9a-0c64-4ef6-ba90-b1116f99b862", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Rising abs error lmfit : [0.532169 0.037017 0.078405 0.284539 2.742061 0.032766]\n", - "Rising abs error minuit_grad: [0. 0.019137 0.050193 0.270068 2.222365 0.015927]\n", - "\n", - "\n", - "Falling abs error lmfit : [1.73448 0.024214 0.251971 0.092915 1.523265 0.001323]\n", - "Falling abs error minuit_grad: [1.741754 0.024277 0.251604 0.092887 1.526732 0.001435]\n" - ] - } - ], + "outputs": [], "source": [ - "print(\"Rising abs error lmfit : \", np.abs(res_r_lmfit[:6] - p_true_rising))\n", - "print(\"Rising abs error minuit_grad: \", np.abs(res_r_munuit_obj['par'] - p_true_rising))\n", - "print(\"\\n\")\n", - "print(\"Falling abs error lmfit : \", np.abs(res_f_lmfit[:6] - p_true_falling))\n", - "print(\"Falling abs error minuit_grad: \", np.abs(res_f_munuit_obj['par'] - p_true_falling))" + "print(\"Rising absolute parameter error:\", np.abs(res_r_munuit_obj['par'] - p_true_rising))\n", + "print(\"Falling absolute parameter error:\", np.abs(res_f_munuit_obj['par'] - p_true_falling))\n" ] }, { @@ -320,25 +227,12 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "id": "dc0b52b6-9fc3-453d-b6eb-e325a2b8342e", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Rising lmfit : 0.334 ms\n", - "Rising minuit2 : 0.239 ms\n", - "\n", - "Falling lmfit : 0.294 ms\n", - "Falling minuit2 : 0.214 ms\n" - ] - } - ], + "outputs": [], "source": [ "def bench(fn, n_repeats=200):\n", - " # warmup\n", " for _ in range(3):\n", " fn()\n", "\n", @@ -348,20 +242,14 @@ " t1 = time.perf_counter()\n", " return res, (t1 - t0) / n_repeats\n", "\n", - "model_rising = RisingScurve()\n", + "model_rising = RisingScurve()\n", "model_falling = FallingScurve()\n", "\n", - "res_r_lmfit, t_r_lmfit = bench(lambda: fit_scurve(x, y_rising))\n", - "res_r_minuit, t_r_minuit_grad = bench(lambda: model_rising.fit(x, y_rising))\n", + "_, t_rising = bench(lambda: model_rising.fit(x, y_rising))\n", + "_, t_falling = bench(lambda: model_falling.fit(x, y_falling))\n", "\n", - "res_f_lmfit, t_f_lmfit = bench(lambda: fit_scurve2(x, y_falling))\n", - "res_f_minuit, t_f_minuit_grad = bench(lambda: model_falling.fit(x, y_falling))\n", - "\n", - "print(f\"Rising lmfit : {1e3*t_r_lmfit:.3f} ms\")\n", - "print(f\"Rising minuit2 : {1e3*t_r_minuit_grad:.3f} ms\")\n", - "print()\n", - "print(f\"Falling lmfit : {1e3*t_f_lmfit:.3f} ms\")\n", - "print(f\"Falling minuit2 : {1e3*t_f_minuit_grad:.3f} ms\")" + "print(f\"Rising Minuit2: {1e3*t_rising:.3f} ms\")\n", + "print(f\"Falling Minuit2: {1e3*t_falling:.3f} ms\")\n" ] }, { diff --git a/python/tests/test_Minuit2_scurve_3d.ipynb b/python/tests/test_Minuit2_scurve_3d.ipynb index c7a4409d..eada2267 100644 --- a/python/tests/test_Minuit2_scurve_3d.ipynb +++ b/python/tests/test_Minuit2_scurve_3d.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "efef8e20-6571-4561-8f0b-6048b57907de", "metadata": {}, "outputs": [], @@ -13,30 +13,15 @@ "from scipy.special import erf\n", "import matplotlib.pyplot as plt\n", "from matplotlib.gridspec import GridSpec\n", - "import sys\n", - "sys.path.insert(0, '/home/ferjao_k/aare/build')\n", - "\n", - "from aare import fit_scurve2\n", - "from aare import FallingScurve, fit" + "from aare import FallingScurve\n" ] }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "2536939d-8f34-438e-850a-6f3bdf48f658", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'/home/ferjao_k/aare/build/aare/__init__.py'" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "import aare\n", "aare.__file__" @@ -44,7 +29,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "35772e2c-37c6-4986-a9c0-7dca4a034827", "metadata": {}, "outputs": [], @@ -71,7 +56,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "06c8fddb-56d9-4f84-8b21-4ffd8b7bd26f", "metadata": {}, "outputs": [], @@ -127,7 +112,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "dc0b52b6-9fc3-453d-b6eb-e325a2b8342e", "metadata": {}, "outputs": [], @@ -154,19 +139,10 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "13bcd5a6-8f95-4300-a002-04023d0f9bab", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Generating synthetic data: 100x100 pixels, 100 scan points, noise_frac=0.05\n", - "\n" - ] - } - ], + "outputs": [], "source": [ "print(f\"Generating synthetic data: {ROWS}x{COLS} pixels, \"\n", " f\"{N_SCAN} scan points, noise_frac={NOISE_FRAC}\\n\")\n", @@ -186,17 +162,13 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "1f6bc651-80c1-41dd-8a05-7f15aba006aa", "metadata": {}, "outputs": [], "source": [ "model = FallingScurve()\n", "METHOD_DEFS = [\n", - " (\"lmfit (LM)\",\n", - " lambda nt: lambda: fit_scurve2(x, y, n_threads=nt),\n", - " \"#FF9800\", {\"linewidth\": 3.0, \"linestyle\": \"-\"}),\n", - "\n", " (\"Minuit2 (analytic)\",\n", " lambda nt: lambda: model.fit(x, y, n_threads=nt),\n", " \"#4CAF50\", {\"linewidth\": 4.0, \"linestyle\": \":\"}),\n", @@ -216,27 +188,13 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "5a417145-ce42-4c3a-a7bf-05ff97ba0450", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Method time (ms) med|dp0| med|dp1| med|dp2| med|dp3| med|dp4| med|dp5|\n", - "--------------------------------------------------------------------------------------------------------------\n", - "[lmfit (LM) ] 359.31 ms 18.6946 0.2249 0.2177 0.2663 11.9347 0.3635\n", - "[Minuit2 (analytic) ] 257.18 ms 17.1035 0.2147 0.2293 0.2668 11.9449 0.3518 chi2/ndf=596.8385\n" - ] - } - ], + "outputs": [], "source": [ "PARAM_NAMES = [\"p0\", \"p1\", \"p2\", \"p3\", \"p4\", \"p5\"]\n", "ndf = N_SCAN - len(PARAM_NAMES)\n", - "# NOTE: fit_scurve returns Ndf = n_scan - 2 in its dict, which looks wrong\n", - "# for a 6-parameter model. We use our own ndf = n_scan - 6 everywhere.\n", - "\n", "def extract_result(label, res):\n", " if isinstance(res, dict):\n", " out = {\"par\": res[\"par\"]}\n", @@ -245,8 +203,6 @@ " if \"chi2\" in res:\n", " out[\"chi2\"] = res[\"chi2\"]\n", " return out\n", - " # fallback: raw array, assume shape (rows, cols, 6)\n", - " return {\"par\": res}\n", "\n", "methods = {}\n", "for label, factory, _, _ in METHOD_DEFS:\n", @@ -288,35 +244,12 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "55ecc77c-0823-408d-a811-8e4f4900f332", "metadata": { "scrolled": true }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " lmfit (LM) n_threads= 1 1404.39 ± 11.48 ms (140.4392 ± 1.1478 µs/pixel)\n", - " Minuit2 (analytic) n_threads= 1 1022.42 ± 1.69 ms (102.2417 ± 0.1690 µs/pixel)\n", - "\n", - "\n", - " lmfit (LM) n_threads= 2 708.78 ± 6.14 ms (70.8775 ± 0.6142 µs/pixel)\n", - " Minuit2 (analytic) n_threads= 2 521.15 ± 0.96 ms (52.1151 ± 0.0962 µs/pixel)\n", - "\n", - "\n", - " Minuit2 (analytic) n_threads= 4 256.73 ± 2.40 ms (25.6728 ± 0.2399 µs/pixel)\n", - " lmfit (LM) n_threads= 4 352.83 ± 0.77 ms (35.2833 ± 0.0767 µs/pixel)\n", - "\n", - "\n", - " lmfit (LM) n_threads= 8 226.62 ± 1.48 ms (22.6616 ± 0.1479 µs/pixel)\n", - " Minuit2 (analytic) n_threads= 8 164.39 ± 0.51 ms (16.4386 ± 0.0509 µs/pixel)\n", - "\n", - "\n" - ] - } - ], + "outputs": [], "source": [ "thread_counts = [1, 2, 4, 8]\n", " \n", @@ -339,8 +272,8 @@ " per_px = med / (ROWS * COLS) * 1e3\n", " per_px_std = std / (ROWS * COLS) * 1e3\n", " print(f\" {label:22s} n_threads={nt:2d} \"\n", - " f\"{med:8.2f} ± {std:6.2f} ms \"\n", - " f\"({per_px:.4f} ± {per_px_std:.4f} µs/pixel)\")\n", + " f\"{med:8.2f} \u00b1 {std:6.2f} ms \"\n", + " f\"({per_px:.4f} \u00b1 {per_px_std:.4f} \u00b5s/pixel)\")\n", " \n", " print(\"\\n\")" ] @@ -355,49 +288,17 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "d5f3152d-be84-420e-8045-9c42ac5c24cb", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": - 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27Vrp1auXbRndxjZt2sg333xTxr1HedIWhw899JBJKxAdHS3NmjUzLe/y8/NtLRM1HYFeX7pM9+7d5eeff7atJysrS4YPH25+YMfGxkr//v1lx44dnDzAT2w7/KekHtjknLYc+kPSc9PNrTVPl4GflSG8UI6gDAGU43uUcj6XF4DKJXO/yOykAlPo+50lcu8yc2uW8ROkn0LQ0YqpBx54wNwCKEIFdSc/mauuusrcnnHGGaZyYuDAgc7u4Vu2bCnz+vft22e6q8fExBT7OZqLVwMZVatWNdsTFhZWYJk6depQse3nJkyYYIJeb7zxhrRu3Vq+/fZbuemmm6R69epmoDM1ceJEmTx5skkx0KJFCxk3bpz07NlTUlNTJS4uziwzYsQIWbx4sSxYsEASEhJk5MiRphXfd9995/HaAOBbUTWjpOX1p5pb+E8ZQhPaVPHyZlCGALzzHi2P96fiPQoAga9edZGnLjt+608IaiDoaEvbVq1amVsA/i8q6nilk1U57HpfW9qXlQYzMjMzS/ScBg0amG7ymsNXe3l4ouvkc8a/rVy5Ui699FK55JJLnGkQ5s+fb4IbVi8NzeE8ZswYGTBggJmnAZDatWvLvHnzZMiQIXLo0CGTe1nzPF944YVmGU2f0LBhQ/n000+ld+/eBV5Xe3boZDl8+LC51R4irr1ESkKfp9tb2uf7E/bFPwXTeQmLDJOkprXl6pYDJfR/ueHjI+MDct98eV6s19apIpnXK+I1XbcpMjLS/B8aGlrgvpYhXLfdep41z9Nj7vR7Xr/vPT3mvh5rHfXr13eWIbRHp6fX03Vqeaeij21RPG1ncZ9nXaPWdRqI7zWUD8r5ABD4oiNE2tYXv0NQAwFPcyS7phTIOJQh+9bslel3TZPExESfbhuAiqEt6rXyWXtWuNNW+XXr1jW9PjT9UHFpi/1169bJKaecYnL7utu4caOcdtppZd52lJ9zzz3X9NTYtGmT6YXxww8/yNdff20CGWrr1q2ye/duW3oxrRDTfMsazNKghvbG0BRmrstoT0BNP6bLeApqaOo0rcxyl5aWVuIAm0UriPQad628C1Tsi38K5PNyW7NbJDc/z/yf68iVqd8+J3+s/EOaN20qdRLrOJfzlIvd3/nyvOhnn75+Xu7xY1tRTIOGIho16ONWowfX/13vuz5+sse0DLF//35n5asrTTmoZQj9HrHKEOaY5OWZSVmDKltBIF2vpjX8/vvvTTDdKkO4bssvv/wiDz/8sFcab3iDbrf7/hSX7oPuux5DTc+pGHMM3kQ5HwB8a/9Rkf/8JNK3rUiCH50MghoImjzKlmO7jsnWz36TgzccJKgBVBKaDuiCCy4wLSo/+eSTAuNqXH755fLRRx/JsGHDnPO0MmH8+PHO+1OmTLE958wzzzSTJ1YFhVZsw3/dd999pjKwZcuWpuePVtg8+eSTcs0115jHNaChtGeGK72/bds25zKaviw+Pr7AMtbz3WkKxHvuucfWU0N7dmigvVq1aqXaF60w0oomXUegVTi7Y1/8UyCflyQ58Zn/9qZ3JSQrRLau2CLLei2X4a3vkEDmy/OiQVitnA4Lr9g0e+Hh4fqnyMfNMm7/u953ffxkj+nntQaotQzx8ccfFyhDaE++pUuXOssQeh40cD1p0iTnMprGUOfrudL1durUyUyur2PdahlCl9NBj/2NFZQoCd0v3XdNz2gFhjwFiIDSopwPAL51MEPknXUi555CUAMod/mOfMnIyZD0nHRzPzQkVKLCKVyjEotKEBm8t+JeqwiuaQ3ce0C4PqatG3U8DE/Luj/26KOPmqkwd955p1xxxRVy++23mx/eOn6CJ1deeaXH+e6vp63/R40aVcRewh+89dZbJlWUppLSMTV0IHkdH0N7Wtxwww3O5dxbpep1eLKWqkUto709dHKn115ZKiX19cq6Dn/BvvinYDgvV7W8Us4IO122x22Ti5tdFND74uvzYlXSh0TV8koZwurFoJXgRX3Ghmg5opDHi1uGaNq0aaFlCPfHtFeFToXRMZi0DDF06FBnGaK4++Lp9V566SVThihpj4jy5PqdVtLtMteI2zUaDO+7gBJZ9nJ+sa/pSlDOf/nll00gBQDg33zaU2P58uXyzDPPmNQOu3btkkWLFslll11WIL2HtrRctmyZaamklRILFy40eUqV5qzWQqHmyNYBZnv06CHPP/+8yYduOXDggPmi++CDD8z9/v37y7Rp06RGjRoVvMeoKJl5mTJi2SiJ3RRr7qfEt5BJ3SZwAlB5hYSKRFfedGyNGzc23yU7d+60fT+UllaK64DT8G/33nuv3H///XL11Veb+23btjU9MDQ9lAY1dLB3pT0uNL2Ia4oaq/eGLpOdnW3KEq69NXSZLl26VPg+AYBPyhBRXihDaIWmplvSHgt+VKF/MpQhUCneowH6/lS8RwGgcvJpE4pjx46ZfOTTp0/3+Pjvv/9u8mFr2ogvv/zS5MLWdCGu3Vm1xaUGQxYsWGDyZB89elT69u3rzAmqrr32WtM6c8mSJWbS/wcNGlQh+wgA8A/agssbAQ2lgXJaIfq/9PT0AudJ01BZA5hq61kNWmhaEYsGMLQhhRWw6NChg0nH4bqMNsTYsGEDQQ0AqCQoQwCV5z16xx13UM4HgADg054aF110kZkKM2bMGLn44otl4sSJznmug7xqnuxZs2bJnDlz5MILLzTzNM2E5q3+9NNPTW5U7emhgYxVq1Y585rOnDlTzj77bElNTZWUlBSPr609QHRyzYettCLEqgwpjDVI3MmWg3c0ijvea8fy48GfJPG0JAmPtl/enI+KwfXvP8ff+t+a3M38aZZsOrDZNq92TG0ZdebdJ32de5ffX+hjjas1kjtOHyqVlXWsPR1zf2RdH+7fb8HwmdmvXz8zhob27tSenjpoq+Y9v/nmm83jml5BG0c89dRTkpycbCb9PyYmxjSIsAaav+WWW0waAs0XXrNmTdNDVHt9WGUPAP43qGzXrl3NLcrXzB9n2ca2U7Vja8u9Z54YV6gwo5bdV2g5Ynj7E2NgAfCP9ybvTwConOIiRXq2On7rT/x2oHCtTPnvf/8ro0ePNsEJrYjQFpU6+KaVokrTVuXk5EivXr1sKUF04NYVK1aY561cudJUSFgBDdW5c2czT5cpLKihqSl0ADh3aWlpZtC8k227Bly0koiWvOVvYL3Lbfefyp4okX3t7zS9TjRVCMof17//HH/tsab3NT+uTu62H95R4MeOjkPjaVl37s/zlJO3MrKOu/KnXNlF0XOl18n+/fttA4Tq4LCBTlNNag9PzYOu3wFaRhgyZIg88sgjzmW0nKHpK3UZTTGl5QUdbN61MlQHkdcc0wMHDnSmutR8zdrrA4D/0YGe//nPfxYY8Bnet/2oh7JEbkaxnltUWQJA2fDeBAB4S1I1kTsvEL/jt0ENrXzQVFLjx4+XcePGyYQJE0yPiwEDBsgXX3wh3bp1MzmwIyIibDmulebB1seU3nr6QaPzrGU80eDJPffcY+upoT1AEhMTpVq1akVuu1YOaWWWLktQo+KFSohkpKVLZI0oCa1yPO2IVtTxw7ZicP37z/HXNDpaMa2VsTq581jpHhLicdmSCPHCOgKda3DA3+m50u8q7YXgmt7R9f9ApYGJqVOnmqmo6/Vkg8TqsdAAiU4A/J9+/+3YscOMnxcMn2UAAACAr2Tniuw+LFKnmkiEH50Gv611stJeXHrppXL33cdToZx++ummd8WLL75oghpFtZR1razzVHHnvoy7yMhIM7nTip/iBCp03cVdFt7Vrkpb+Xz2p3LjmJukTuPjg8AmRCdwLioQ17//HH/935oKLlj480vi4qZ9pEroiUr8pJjEgOml4G2u3y2Bcgys68P9O4vvLwCBavG6/8r4B56WYY/dIfWb1DfzakRWl051z/L1pgFAQPFUzgcAVC7bD4iMWCgydaBIc/EfflvjXqtWLdN69NRTT7XNb9Wqlfz555/mfx3cU1tiaboI914e2lvDWmbPnj0e00hZyyC4nFf/HKkTXVv6Nb9Erm11tZl6N+np680CglZa+j654dRB8s+2N5upf/N+RS7fpEkT03NK08JZPv/8c1OxrmMVqA8++EDuvffeMm+bBsM1XZDS1vquaejeeustad++vUlZqOMjnKwVvvbeW7BggZQXPS46+HRRDh48aBtnSmmKla+++qrI5y1evNikXQKAYM0d/8iKx5zTCz+8JDvSd8jcjfNk+vrnzfT2pnd9vZk4ScXppc37malrg3MDogzRsWNHU36gDIFgRjnfOyjnA0AlCmpoWiktKOpg3q42bdokjRs3Nv936NDBpPhYunSp8/Fdu3aZSqEuXbqY+zoguOaXX7NmjXOZ1atXm3nWMgBQGTWs2kBS4lvYpqbVmxTrua7POZx9WBb99n6JXlsHbtZKB8urr74qZ555pvN+//795ZlnnpGyWr9+vURHR3uskGjQoIF89NFH5jvj66+/lueee06++eYbj+v566+/zLJXXXWV+JKnoMYrr7wi55133kkHzF67dq38/vvv5byFAFDxdGyG7/eud04IvLJEQlRCsRtH+EsZQhsM/PTTT5Qh4Jco51POB4Bg59Ogho6ZoYVFndTWrVvN/1ZPDG1ho61gZs6cKb/99ptMnz7dFB51ME+lg33fcsstMnLkSPnss8/MYOLXX3+9aS1z4YUXOnt29OnTR2699VZZtWqVmfT/vn37FjpIOABUBre2u0UmdZtgm+4988RYQkVxf97AlCtK9No333yzqYRQGmTWz2b9rLboIMxXXHF8nV9++aVpLamf/aeddpq0bt1avv32W/PYH3/8YXr2uX6vuKcf1HmPP/647Ny506xT16XfNeecc47pzWd9n7Rs2dJ8D3mi26rPtdat3zkaNLd6erz22mvOZfX757777jOBhubNm8u//vUv52Pz5s0zA1Hr83Q7PvzwwwKvpcEH/e7SVFYWfS0Nqui6NLC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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# FIGURE 1: Residual histograms (6 panels)\n", "truth_arrays = [truths[pn] for pn in PARAM_NAMES]\n", " \n", "fig1, axes1 = plt.subplots(2, 3, figsize=(16, 9))\n", "fig1.suptitle(\n", - " f\"Parameter Residuals — {ROWS}×{COLS} pixels, {N_SCAN} scan points\",\n", + " f\"Parameter Residuals \u2014 {ROWS}\u00d7{COLS} pixels, {N_SCAN} scan points\",\n", " fontsize=14, fontweight=\"bold\")\n", " \n", "for idx, (pname, truth) in enumerate(zip(PARAM_NAMES, truth_arrays)):\n", @@ -421,9 +322,9 @@ " linestyle=styles[mname][\"linestyle\"])\n", " \n", " ax.axvline(0, color=\"k\", linestyle=\"--\", linewidth=1, alpha=0.7)\n", - " ax.set_xlabel(f\"Fitted {pname} − True {pname}\")\n", + " ax.set_xlabel(f\"Fitted {pname} \u2212 True {pname}\")\n", " ax.set_ylabel(\"Pixel count\")\n", - " ax.set_title(f\"Δ{pname}\")\n", + " ax.set_title(f\"\u0394{pname}\")\n", " ax.legend(fontsize=8)\n", " ax.grid(alpha=0.3)\n", " \n", @@ -444,7 +345,7 @@ " color=[colors[n] for n in names],\n", " edgecolor=\"white\", height=0.5)\n", "ax2a.set_xlabel(\"Median wall time (ms)\")\n", - "ax2a.set_title(f\"Single call — {ROWS}×{COLS} px, {N_THREADS} threads\")\n", + "ax2a.set_title(f\"Single call \u2014 {ROWS}\u00d7{COLS} px, {N_THREADS} threads\")\n", "for bar, val in zip(bars, medians):\n", " ax2a.text(bar.get_width() + max(medians) * 0.02,\n", " bar.get_y() + bar.get_height() / 2,\n", diff --git a/src/Fit.cpp b/src/Fit.cpp index 3d04ecb8..f11aa611 100644 --- a/src/Fit.cpp +++ b/src/Fit.cpp @@ -4,7 +4,6 @@ #include "Minuit2/FunctionMinimum.h" #include "Minuit2/MnHesse.h" #include "Minuit2/MnMigrad.h" -#include "Minuit2/MnPrint.h" #include "Minuit2/MnStrategy.h" #include "Minuit2/MnUserParameters.h" #include "aare/Models.hpp" @@ -12,461 +11,11 @@ #include "aare/utils/task.hpp" #include #include -#include -#include #include #include -#include #include namespace aare { - -namespace func { - -double gaus(const double x, const double *par) { - return par[0] * exp(-pow(x - par[1], 2) / (2 * pow(par[2], 2))); -} - -NDArray gaus(NDView x, NDView par) { - NDArray y({x.shape(0)}, 0); - for (ssize_t i = 0; i < x.size(); i++) { - y(i) = gaus(x(i), par.data()); - } - return y; -} - -double pol1(const double x, const double *par) { return par[0] * x + par[1]; } - -NDArray pol1(NDView x, NDView par) { - NDArray y({x.shape()}, 0); - for (ssize_t i = 0; i < x.size(); i++) { - y(i) = pol1(x(i), par.data()); - } - return y; -} - -double scurve(const double x, const double *par) { - return (par[0] + par[1] * x) + - 0.5 * (1 + erf((x - par[2]) / (sqrt(2) * par[3]))) * - (par[4] + par[5] * (x - par[2])); -} - -NDArray scurve(NDView x, NDView par) { - NDArray y({x.shape()}, 0); - for (ssize_t i = 0; i < x.size(); i++) { - y(i) = scurve(x(i), par.data()); - } - return y; -} - -double scurve2(const double x, const double *par) { - return (par[0] + par[1] * x) + - 0.5 * (1 - erf((x - par[2]) / (sqrt(2) * par[3]))) * - (par[4] + par[5] * (x - par[2])); -} - -NDArray scurve2(NDView x, NDView par) { - NDArray y({x.shape()}, 0); - for (ssize_t i = 0; i < x.size(); i++) { - y(i) = scurve2(x(i), par.data()); - } - return y; -} - -} // namespace func - -NDArray fit_gaus(NDView x, NDView y) { - NDArray result = model::Gaussian::estimate_par(x, y); - lm_status_struct status; - - lmcurve(result.size(), result.data(), x.size(), x.data(), y.data(), - aare::func::gaus, &lm_control_double, &status); - - return result; -} - -NDArray fit_gaus(NDView x, NDView y, - int n_threads) { - NDArray result({y.shape(0), y.shape(1), 3}, 0); - - auto process = [&x, &y, &result](ssize_t first_row, ssize_t last_row) { - for (ssize_t row = first_row; row < last_row; row++) { - for (ssize_t col = 0; col < y.shape(1); col++) { - NDView values(&y(row, col, 0), {y.shape(2)}); - auto res = fit_gaus(x, values); - result(row, col, 0) = res(0); - result(row, col, 1) = res(1); - result(row, col, 2) = res(2); - } - } - }; - - auto tasks = split_task(0, y.shape(0), n_threads); - RunInParallel(process, tasks); - return result; -} - -void fit_gaus(NDView x, NDView y, NDView y_err, - NDView par_out, NDView par_err_out, - double &chi2) { - - // Check that we have the correct sizes - if (y.size() != x.size() || y.size() != y_err.size() || - par_out.size() != 3 || par_err_out.size() != 3) { - throw std::runtime_error("Data, x, data_err must have the same size " - "and par_out, par_err_out must have size 3"); - } - - // /* Collection of output parameters for status info. */ - // typedef struct { - // double fnorm; /* norm of the residue vector fvec. */ - // int nfev; /* actual number of iterations. */ - // int outcome; /* Status indicator. Nonnegative values are used as - // index - // for the message text lm_infmsg, set in lmmin.c. */ - // int userbreak; /* Set when function evaluation requests termination. - // */ - // } lm_status_struct; - - lm_status_struct status; - par_out = model::Gaussian::estimate_par(x, y); - std::array cov{0, 0, 0, 0, 0, 0, 0, 0, 0}; - - // void lmcurve2( const int n_par, double *par, double *parerr, double - // *covar, const int m_dat, const double *t, const double *y, const double - // *dy, double (*f)( const double ti, const double *par ), const - // lm_control_struct *control, lm_status_struct *status); n_par - Number of - // free variables. Length of parameter vector par. par - Parameter vector. - // On input, it must contain a reasonable guess. On output, it contains the - // solution found to minimize ||r||. parerr - Parameter uncertainties - // vector. Array of length n_par or NULL. On output, unless it or covar is - // NULL, it contains the weighted parameter uncertainties for the found - // parameters. covar - Covariance matrix. Array of length n_par * n_par or - // NULL. On output, unless it is NULL, it contains the covariance matrix. - // m_dat - Number of data points. Length of vectors t, y, dy. Must statisfy - // n_par <= m_dat. t - Array of length m_dat. Contains the abcissae (time, - // or "x") for which function f will be evaluated. y - Array of length - // m_dat. Contains the ordinate values that shall be fitted. dy - Array of - // length m_dat. Contains the standard deviations of the values y. f - A - // user-supplied parametric function f(ti;par). control - Parameter - // collection for tuning the fit procedure. In most cases, the default - // &lm_control_double is adequate. If f is only computed with - // single-precision accuracy, &lm_control_float should be used. Parameters - // are explained in lmmin2(3). status - A record used to return information - // about the minimization process: For details, see lmmin2(3). - - lmcurve2(par_out.size(), par_out.data(), par_err_out.data(), cov.data(), - x.size(), x.data(), y.data(), y_err.data(), aare::func::gaus, - &lm_control_double, &status); - - // Calculate chi2 - chi2 = 0; - for (ssize_t i = 0; i < y.size(); i++) { - chi2 += - std::pow((y(i) - func::gaus(x(i), par_out.data())) / y_err(i), 2); - } -} - -void fit_gaus(NDView x, NDView y, NDView y_err, - NDView par_out, NDView par_err_out, - NDView chi2_out, - - int n_threads) { - - auto process = [&](ssize_t first_row, ssize_t last_row) { - for (ssize_t row = first_row; row < last_row; row++) { - for (ssize_t col = 0; col < y.shape(1); col++) { - NDView y_view(&y(row, col, 0), {y.shape(2)}); - NDView y_err_view(&y_err(row, col, 0), - {y_err.shape(2)}); - NDView par_out_view(&par_out(row, col, 0), - {par_out.shape(2)}); - NDView par_err_out_view(&par_err_out(row, col, 0), - {par_err_out.shape(2)}); - - fit_gaus(x, y_view, y_err_view, par_out_view, par_err_out_view, - chi2_out(row, col)); - } - } - }; - - auto tasks = split_task(0, y.shape(0), n_threads); - RunInParallel(process, tasks); -} - -void fit_pol1(NDView x, NDView y, NDView y_err, - NDView par_out, NDView par_err_out, - double &chi2) { - - // Check that we have the correct sizes - if (y.size() != x.size() || y.size() != y_err.size() || - par_out.size() != 2 || par_err_out.size() != 2) { - throw std::runtime_error("Data, x, data_err must have the same size " - "and par_out, par_err_out must have size 2"); - } - - lm_status_struct status; - par_out = model::Pol1::estimate_par(x, y); - std::array cov{0, 0, 0, 0}; - - lmcurve2(par_out.size(), par_out.data(), par_err_out.data(), cov.data(), - x.size(), x.data(), y.data(), y_err.data(), aare::func::pol1, - &lm_control_double, &status); - - // Calculate chi2 - chi2 = 0; - for (ssize_t i = 0; i < y.size(); i++) { - chi2 += - std::pow((y(i) - func::pol1(x(i), par_out.data())) / y_err(i), 2); - } -} - -void fit_pol1(NDView x, NDView y, NDView y_err, - NDView par_out, NDView par_err_out, - NDView chi2_out, int n_threads) { - - auto process = [&](ssize_t first_row, ssize_t last_row) { - for (ssize_t row = first_row; row < last_row; row++) { - for (ssize_t col = 0; col < y.shape(1); col++) { - NDView y_view(&y(row, col, 0), {y.shape(2)}); - NDView y_err_view(&y_err(row, col, 0), - {y_err.shape(2)}); - NDView par_out_view(&par_out(row, col, 0), - {par_out.shape(2)}); - NDView par_err_out_view(&par_err_out(row, col, 0), - {par_err_out.shape(2)}); - - fit_pol1(x, y_view, y_err_view, par_out_view, par_err_out_view, - chi2_out(row, col)); - } - } - }; - - auto tasks = split_task(0, y.shape(0), n_threads); - RunInParallel(process, tasks); -} - -NDArray fit_pol1(NDView x, NDView y) { - // // Check that we have the correct sizes - // if (y.size() != x.size() || y.size() != y_err.size() || - // par_out.size() != 2 || par_err_out.size() != 2) { - // throw std::runtime_error("Data, x, data_err must have the same size " - // "and par_out, par_err_out must have size 2"); - // } - NDArray par = model::Pol1::estimate_par(x, y); - - lm_status_struct status; - lmcurve(par.size(), par.data(), x.size(), x.data(), y.data(), - aare::func::pol1, &lm_control_double, &status); - - return par; -} - -NDArray fit_pol1(NDView x, NDView y, - int n_threads) { - NDArray result({y.shape(0), y.shape(1), 2}, 0); - - auto process = [&](ssize_t first_row, ssize_t last_row) { - for (ssize_t row = first_row; row < last_row; row++) { - for (ssize_t col = 0; col < y.shape(1); col++) { - NDView values(&y(row, col, 0), {y.shape(2)}); - auto res = fit_pol1(x, values); - result(row, col, 0) = res(0); - result(row, col, 1) = res(1); - } - } - }; - - auto tasks = split_task(0, y.shape(0), n_threads); - - RunInParallel(process, tasks); - return result; -} - -// ~~ S-CURVES ~~ - -// - No error -NDArray fit_scurve(NDView x, NDView y) { - NDArray result = model::RisingScurve::estimate_par(x, y); - lm_status_struct status; - - lmcurve(result.size(), result.data(), x.size(), x.data(), y.data(), - aare::func::scurve, &lm_control_double, &status); - - return result; -} - -NDArray fit_scurve(NDView x, NDView y, - int n_threads) { - NDArray result({y.shape(0), y.shape(1), 6}, 0); - - auto process = [&x, &y, &result](ssize_t first_row, ssize_t last_row) { - for (ssize_t row = first_row; row < last_row; row++) { - for (ssize_t col = 0; col < y.shape(1); col++) { - NDView values(&y(row, col, 0), {y.shape(2)}); - auto res = fit_scurve(x, values); - result(row, col, 0) = res(0); - result(row, col, 1) = res(1); - result(row, col, 2) = res(2); - result(row, col, 3) = res(3); - result(row, col, 4) = res(4); - result(row, col, 5) = res(5); - } - } - }; - - auto tasks = split_task(0, y.shape(0), n_threads); - RunInParallel(process, tasks); - return result; -} - -// - Error -void fit_scurve(NDView x, NDView y, - NDView y_err, NDView par_out, - NDView par_err_out, double &chi2) { - - // Check that we have the correct sizes - if (y.size() != x.size() || y.size() != y_err.size() || - par_out.size() != 6 || par_err_out.size() != 6) { - throw std::runtime_error("Data, x, data_err must have the same size " - "and par_out, par_err_out must have size 6"); - } - - lm_status_struct status; - par_out = model::RisingScurve::estimate_par(x, y); - std::array cov = {0}; // size 6x6 - // std::array cov{0, 0, 0, 0}; - - lmcurve2(par_out.size(), par_out.data(), par_err_out.data(), cov.data(), - x.size(), x.data(), y.data(), y_err.data(), aare::func::scurve, - &lm_control_double, &status); - - // Calculate chi2 - chi2 = 0; - for (ssize_t i = 0; i < y.size(); i++) { - chi2 += - std::pow((y(i) - func::pol1(x(i), par_out.data())) / y_err(i), 2); - } -} - -void fit_scurve(NDView x, NDView y, - NDView y_err, NDView par_out, - NDView par_err_out, NDView chi2_out, - int n_threads) { - - auto process = [&](ssize_t first_row, ssize_t last_row) { - for (ssize_t row = first_row; row < last_row; row++) { - for (ssize_t col = 0; col < y.shape(1); col++) { - NDView y_view(&y(row, col, 0), {y.shape(2)}); - NDView y_err_view(&y_err(row, col, 0), - {y_err.shape(2)}); - NDView par_out_view(&par_out(row, col, 0), - {par_out.shape(2)}); - NDView par_err_out_view(&par_err_out(row, col, 0), - {par_err_out.shape(2)}); - - fit_scurve(x, y_view, y_err_view, par_out_view, - par_err_out_view, chi2_out(row, col)); - } - } - }; - - auto tasks = split_task(0, y.shape(0), n_threads); - RunInParallel(process, tasks); -} - -// SCURVE2 --- - -// - No error -NDArray fit_scurve2(NDView x, NDView y) { - NDArray result = model::FallingScurve::estimate_par(x, y); - lm_status_struct status; - - lmcurve(result.size(), result.data(), x.size(), x.data(), y.data(), - aare::func::scurve2, &lm_control_double, &status); - - return result; -} - -NDArray fit_scurve2(NDView x, NDView y, - int n_threads) { - NDArray result({y.shape(0), y.shape(1), 6}, 0); - - auto process = [&x, &y, &result](ssize_t first_row, ssize_t last_row) { - for (ssize_t row = first_row; row < last_row; row++) { - for (ssize_t col = 0; col < y.shape(1); col++) { - NDView values(&y(row, col, 0), {y.shape(2)}); - auto res = fit_scurve2(x, values); - result(row, col, 0) = res(0); - result(row, col, 1) = res(1); - result(row, col, 2) = res(2); - result(row, col, 3) = res(3); - result(row, col, 4) = res(4); - result(row, col, 5) = res(5); - } - } - }; - - auto tasks = split_task(0, y.shape(0), n_threads); - RunInParallel(process, tasks); - return result; -} - -// - Error -void fit_scurve2(NDView x, NDView y, - NDView y_err, NDView par_out, - NDView par_err_out, double &chi2) { - - // Check that we have the correct sizes - if (y.size() != x.size() || y.size() != y_err.size() || - par_out.size() != 6 || par_err_out.size() != 6) { - throw std::runtime_error("Data, x, data_err must have the same size " - "and par_out, par_err_out must have size 6"); - } - - lm_status_struct status; - par_out = model::FallingScurve::estimate_par(x, y); - std::array cov = {0}; // size 6x6 - // std::array cov{0, 0, 0, 0}; - - lmcurve2(par_out.size(), par_out.data(), par_err_out.data(), cov.data(), - x.size(), x.data(), y.data(), y_err.data(), aare::func::scurve2, - &lm_control_double, &status); - - // Calculate chi2 - chi2 = 0; - for (ssize_t i = 0; i < y.size(); i++) { - chi2 += - std::pow((y(i) - func::pol1(x(i), par_out.data())) / y_err(i), 2); - } -} - -void fit_scurve2(NDView x, NDView y, - NDView y_err, NDView par_out, - NDView par_err_out, NDView chi2_out, - int n_threads) { - - auto process = [&](ssize_t first_row, ssize_t last_row) { - for (ssize_t row = first_row; row < last_row; row++) { - for (ssize_t col = 0; col < y.shape(1); col++) { - NDView y_view(&y(row, col, 0), {y.shape(2)}); - NDView y_err_view(&y_err(row, col, 0), - {y_err.shape(2)}); - NDView par_out_view(&par_out(row, col, 0), - {par_out.shape(2)}); - NDView par_err_out_view(&par_err_out(row, col, 0), - {par_err_out.shape(2)}); - - fit_scurve2(x, y_view, y_err_view, par_out_view, - par_err_out_view, chi2_out(row, col)); - } - } - }; - - auto tasks = split_task(0, y.shape(0), n_threads); - RunInParallel(process, tasks); -} - // ============================================================================ // FitModel — method definitions // (constructor, destructor, copy, and all methods that touch Minuit2 state) @@ -756,4 +305,4 @@ AARE_INSTANTIATE_FIT(model::FallingScurve) #undef AARE_INSTANTIATE_FIT // NOLINTEND -} // namespace aare \ No newline at end of file +} // namespace aare diff --git a/src/Fit.test.cpp b/src/Fit.test.cpp new file mode 100644 index 00000000..2b0fd1bb --- /dev/null +++ b/src/Fit.test.cpp @@ -0,0 +1,81 @@ +// SPDX-License-Identifier: MPL-2.0 +#include "aare/Fit.hpp" +#include "aare/FitModel.hpp" +#include "aare/Models.hpp" + +#include +#include +#include + +namespace { + +constexpr ssize_t n_points = 61; + +void fill_gaussian(aare::NDArray &x, aare::NDArray &y, + double amplitude, double mean, double sigma) { + for (ssize_t i = 0; i < n_points; ++i) { + x(i) = -6.0 + 0.2 * static_cast(i); + const double z = (x(i) - mean) / sigma; + y(i) = amplitude * std::exp(-0.5 * z * z); + } +} + +} // namespace + +TEST_CASE("Minuit2 fits weighted and unweighted Gaussian data", "[fit]") { + aare::NDArray x({n_points}); + aare::NDArray y({n_points}); + aare::NDArray y_err({n_points}, 1.0); + fill_gaussian(x, y, 120.0, 0.8, 1.3); + + const aare::FitModel unweighted_model; + const auto unweighted = + aare::fit_pixel(unweighted_model, x.view(), y.view()); + + REQUIRE(unweighted.size() == 4); + CHECK(unweighted(0) == Catch::Approx(120.0).epsilon(1e-5)); + CHECK(unweighted(1) == Catch::Approx(0.8).epsilon(1e-5)); + CHECK(unweighted(2) == Catch::Approx(1.3).epsilon(1e-5)); + CHECK(unweighted(3) == Catch::Approx(0.0).margin(1e-4)); + + const aare::FitModel weighted_model(0, 100, 0.5, + true); + const auto weighted = + aare::fit_pixel(weighted_model, x.view(), y.view(), y_err.view()); + + REQUIRE(weighted.size() == 7); + CHECK(weighted(0) == Catch::Approx(120.0).epsilon(1e-5)); + CHECK(weighted(1) == Catch::Approx(0.8).epsilon(1e-5)); + CHECK(weighted(2) == Catch::Approx(1.3).epsilon(1e-5)); + CHECK(weighted(6) == Catch::Approx(0.0).margin(1e-4)); +} + +TEST_CASE("Minuit2 fits a Gaussian data cube in parallel", "[fit]") { + aare::NDArray x({n_points}); + aare::NDArray values({n_points}); + fill_gaussian(x, values, 80.0, -0.6, 0.9); + + aare::NDArray y({2, 2, n_points}); + for (ssize_t row = 0; row < 2; ++row) { + for (ssize_t col = 0; col < 2; ++col) { + for (ssize_t i = 0; i < n_points; ++i) + y(row, col, i) = values(i); + } + } + + aare::NDArray par({2, 2, 3}); + aare::NDArray chi2({2, 2}); + const aare::FitModel model; + + aare::fit_3d(model, x.view(), y.view(), aare::NDView{}, + par.view(), aare::NDView{}, chi2.view(), 2); + + for (ssize_t row = 0; row < 2; ++row) { + for (ssize_t col = 0; col < 2; ++col) { + CHECK(par(row, col, 0) == Catch::Approx(80.0).epsilon(1e-5)); + CHECK(par(row, col, 1) == Catch::Approx(-0.6).epsilon(1e-5)); + CHECK(par(row, col, 2) == Catch::Approx(0.9).epsilon(1e-5)); + CHECK(chi2(row, col) == Catch::Approx(0.0).margin(1e-8)); + } + } +}