diff --git a/examples/01_basic_example.ipynb b/examples/01_basic_example.ipynb index e529c865..834f9d39 100644 --- a/examples/01_basic_example.ipynb +++ b/examples/01_basic_example.ipynb @@ -65,8 +65,8 @@ "metadata": {}, "outputs": [], "source": [ - "obs1 = pe.Obs([test_sample1], ['ens1'])\n", - "obs2 = pe.Obs([test_sample2], ['ens1'])" + "obs1 = pe.Obs([test_sample1], ['ensemble1'])\n", + "obs2 = pe.Obs([test_sample2], ['ensemble1'])" ] }, { @@ -96,7 +96,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "If we are now interested in the error of obs3, we can use the `gamma_method` to compute it and then print the object to the notebook" + "If we are now interested in the error of `obs3`, we can use the `gamma_method` to compute it and then print the object to the notebook" ] }, { @@ -108,7 +108,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Obs[1.387(19)]\n" + "1.367(20)\n" ] } ], @@ -121,7 +121,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "With print level 1 we can take a look at the integrated autocorrelation time estimated by the automatic windowing procedure." + "With the method `details` we can take a look at the integrated autocorrelation time estimated by the automatic windowing procedure as well as the detailed content of the `Obs` object." ] }, { @@ -133,13 +133,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "Result\t 1.38669742e+00 +/- 1.94840399e-02 +/- 9.74201997e-04 (1.405%)\n", - " t_int\t 5.01998002e-01 +/- 4.47213596e-02 S = 2.00\n" + "Result\t 1.36706932e+00 +/- 2.04253682e-02 +/- 1.02126841e-03 (1.494%)\n", + " t_int\t 5.01998002e-01 +/- 4.47213595e-02 S = 2.00\n", + "1000 samples in 1 ensemble:\n", + " · Ensemble 'ensemble1' : 1000 configurations (from 1 to 1000)\n" ] } ], "source": [ - "obs3.print(1)" + "obs3.details()" ] }, { @@ -156,7 +158,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -190,7 +192,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We can now generate fake data with given covariance matrix and integrated autocorrelation times:" + "We can now generate fake data with a given covariance matrix and integrated autocorrelation times:" ] }, { @@ -199,8 +201,8 @@ "metadata": {}, "outputs": [], "source": [ - "cov = np.array([[0.5, -0.2], [-0.2, 0.3]]) # Covariance matrix\n", - "tau = [4, 8] # Autocorrelation times\n", + "cov = np.array([[0.5, -0.2], [-0.2, 0.3]]) # Covariance matrix\n", + "tau = [4, 8] # Autocorrelation times\n", "c_obs1, c_obs2 = pe.misc.gen_correlated_data([2.8, 2.1], cov, 'ens1', tau)" ] }, @@ -220,15 +222,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "Result\t 3.27194697e-01 +/- 1.79228480e+00 +/- 3.07835024e-01 (547.773%)\n", - " t_int\t 5.31748262e+00 +/- 1.57262234e+00 S = 2.00\n" + "Result\t 3.27194697e-01 +/- 1.53249111e+00 +/- 2.49471479e-01 (468.373%)\n", + " t_int\t 4.75187177e+00 +/- 1.33949719e+00 S = 2.00\n", + "1000 samples in 1 ensemble:\n", + " · Ensemble 'ens1' : 1000 configurations (from 1 to 1000)\n" ] } ], "source": [ "c_obs3 = np.sin(c_obs1 / c_obs2 - 1)\n", "c_obs3.gamma_method()\n", - "c_obs3.print()" + "c_obs3.details()" ] }, { @@ -245,7 +249,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -289,13 +293,15 @@ "name": "stdout", "output_type": "stream", "text": [ - "Result\t 3.27194697e-01 +/- 1.88231459e+00 +/- 2.01855751e-01 (575.289%)\n", - " t_int\t 5.86511391e+00 +/- 2.16269625e+00 tau_exp = 20.00, N_sigma = 1\n" + "Result\t 3.27194697e-01 +/- 1.67779862e+00 +/- 2.08884244e-01 (512.783%)\n", + " t_int\t 5.69571763e+00 +/- 2.09295390e+00 tau_exp = 20.00, N_sigma = 1\n", + "1000 samples in 1 ensemble:\n", + " · Ensemble 'ens1' : 1000 configurations (from 1 to 1000)\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -308,113 +314,21 @@ ], "source": [ "c_obs3.gamma_method(tau_exp=20)\n", - "c_obs3.print()\n", + "c_obs3.details()\n", "c_obs3.plot_tauint()" ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Jackknife" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For comparison and as a crosscheck, we can do a jackknife binning analysis. We compare the result for different binsizes with the result from the gamma method. Besides the more robust approach of the gamma method, it can also be shown that the systematic error of the error decreases faster with $N$ in comparison to the binning approach (see hep-lat/0306017)" - ] - }, { "cell_type": "code", - "execution_count": 13, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Binning analysis:\n", - "Result:\t 3.27194697e-01 +/- 1.30323584e+00 +/- 1.74847436e-01 (398.306%)\n", - "Result:\t 3.27194697e-01 +/- 1.42921199e+00 +/- 3.13124657e-01 (436.808%)\n", - "Result:\t 3.27194697e-01 +/- 1.36761713e+00 +/- 4.28131883e-01 (417.983%)\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Result from the automatic windowing procedure for comparison:\n", - "Result\t 3.27194697e-01 +/- 1.78414777e+00 +/- 2.73504675e-01 (545.286%)\n", - " t_int\t 5.26930916e+00 +/- 1.36902941e+00 S = 1.50\n", - "Result\t 3.27194697e-01 +/- 1.79228480e+00 +/- 3.07835024e-01 (547.773%)\n", - " t_int\t 5.31748262e+00 +/- 1.57262234e+00 S = 2.00\n", - "Result\t 3.27194697e-01 +/- 1.67905409e+00 +/- 3.16358031e-01 (513.167%)\n", - " t_int\t 4.66682386e+00 +/- 1.53936903e+00 S = 3.00\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import pyerrors.jackknifing as jn\n", - "jack1 = jn.generate_jack(c_obs1, max_binsize=50)\n", - "jack2 = jn.generate_jack(c_obs2, max_binsize=50)\n", - "jack3 = jn.derived_jack(lambda x: np.sin(x[0] / x[1] - 1), [jack1, jack2])\n", - "\n", - "print('Binning analysis:')\n", - "jack3.print(binsize=10)\n", - "jack3.print(binsize=25)\n", - "jack3.print(binsize=50)\n", - "\n", - "jack3.plot_tauint()\n", - "\n", - "print('Result from the automatic windowing procedure for comparison:')\n", - "c_obs3.gamma_method(S=1.5)\n", - "c_obs3.print()\n", - "c_obs3.gamma_method(S=2)\n", - "c_obs3.print()\n", - "c_obs3.gamma_method(S=3)\n", - "c_obs3.print()\n", - "\n", - "c_obs3.gamma_method(S=2)\n", - "c_obs3.plot_tauint()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For this specific example the binned Jackknife procedure seems to underestimate the final error, the deduced intergrated autocorrelation time depends strongly on the chosen binsize. The automatic windowing procedure displayed for comparison gives more robust results for this example." - ] + "outputs": [], + "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -428,7 +342,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.8.10" } }, "nbformat": 4, diff --git a/examples/02_correlators.ipynb b/examples/02_correlators.ipynb index db4dcdef..112e50d9 100644 --- a/examples/02_correlators.ipynb +++ b/examples/02_correlators.ipynb @@ -28,17 +28,29 @@ "id": "e5764fd0", "metadata": {}, "source": [ - "We can load data from preprocessed pickle files which contain a list of `pyerror` `Obs`:" + "We can load data from a preprocessed file which contain a list of `pyerror` `Obs`:" ] }, { "cell_type": "code", "execution_count": 3, - "id": "c49ff771", + "id": "fbfa65f5", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data has been written using pyerrors 2.0.0.\n", + "Format version 0.1\n", + "Written by fjosw on 2022-01-06 11:11:19 +0100 on host XPS139305, Linux-5.11.0-44-generic-x86_64-with-glibc2.29\n", + "\n", + "Description: Test data for the correlator example\n" + ] + } + ], "source": [ - "correlator_data = pe.load_object('./data/correlator_test.p') " + "correlator_data = pe.input.json.load_json(\"./data/correlator_test\")" ] }, { @@ -71,13 +83,13 @@ "text": [ "x0/a\tCorr(x0/a)\n", "------------------\n", - "8\t548(13)\n", - "9\t433(11)\n", - "10\t343.1(8.6)\n", - "11\t273.2(6.6)\n", - "12\t217.5(5.6)\n", - "13\t172.9(4.9)\n", - "14\t137.6(4.6)\n", + "8\t 548(13)\n", + "9\t 433(11)\n", + "10\t 343.1(8.6)\n", + "11\t 273.2(6.6)\n", + "12\t 217.5(5.6)\n", + "13\t 172.9(4.9)\n", + "14\t 137.6(4.6)\n", "\n" ] } @@ -102,7 +114,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -179,7 +191,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -256,7 +268,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -287,7 +299,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -349,7 +361,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -375,7 +387,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -389,7 +401,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.8.10" } }, "nbformat": 4, diff --git a/examples/03_pcac_example.ipynb b/examples/03_pcac_example.ipynb index 595a1be5..c5b5aecb 100644 --- a/examples/03_pcac_example.ipynb +++ b/examples/03_pcac_example.ipynb @@ -32,27 +32,46 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "We can load data from preprocessed pickle files which contain a list of `pyerror` `Obs`:" + "We can load data from preprocessed files which contains lists of `pyerror` `Obs` and convert them to `Corr` objects. We use the parameters `padding_front` and `padding_back` to keep track of the fixed boundary conditions at both temporal ends of the lattice." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Data has been written using pyerrors 2.0.0.\n", + "Format version 0.1\n", + "Written by fjosw on 2022-01-06 11:27:27 +0100 on host XPS139305, Linux-5.11.0-44-generic-x86_64-with-glibc2.29\n", + "\n", + "Description: SF correlation function f_A on a test ensemble\n", + "Data has been written using pyerrors 2.0.0.\n", + "Format version 0.1\n", + "Written by fjosw on 2022-01-06 11:27:34 +0100 on host XPS139305, Linux-5.11.0-44-generic-x86_64-with-glibc2.29\n", + "\n", + "Description: SF correlation function f_P on a test ensemble\n" + ] + } + ], "source": [ "p_obs_names = [r'f_A', r'f_P']\n", "\n", "p_obs = {}\n", "for i, item in enumerate(p_obs_names):\n", - " p_obs[item] = pe.load_object('./data/B1k2_' + item + '.p') " + " tmp_data = pe.input.json.load_json(\"./data/\" + item)\n", + " p_obs[item] = pe.Corr(tmp_data, padding_front=1, padding_back=1)\n", + " p_obs[item].tag = item" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can now use the `pyerrors` function `plot_corrs` to have a quick look at the data we just read in " + "We can now use the method `Corr.show` to have a quick look at the data we just read in " ] }, { @@ -62,7 +81,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -74,23 +93,21 @@ } ], "source": [ - "pe.plot_corrs([p_obs['f_A'], p_obs['f_P']])" + "p_obs['f_A'].show(comp=p_obs['f_P'], y_range=[-0.8, 8])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Secondary observables" + "## Constructing the PCAC mass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "One way of generating secondary observables is to write the desired math operations as for standard floats. `pyerrors` currently supports the basic arithmetic operations as well as numpy's basic trigonometric functions.\n", - "\n", - "We start by looking at the unimproved pcac mass $am=\\tilde{\\partial}_0 f_\\mathrm{A}/2 f_\\mathrm{P}$" + "For the PCAC mass we now need to obtain the first derivative of f_A and the second derivative of f_P" ] }, { @@ -99,16 +116,8 @@ "metadata": {}, "outputs": [], "source": [ - "uimpr_mass = []\n", - "for i in range(1, len(p_obs['f_A']) - 1):\n", - " uimpr_mass.append((p_obs['f_A'][i + 1] - p_obs['f_A'][i - 1]) / 2 / (2 * p_obs['f_P'][i]))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "For more complicated secondary obsevables or secondary observables we use over and over again it is often useful to define a dedicated function for it. Here is an example for the improved pcac mass" + "first_deriv_fA = p_obs['f_A'].deriv()\n", + "first_deriv_fA.tag = r\"First derivative of f_A\"" ] }, { @@ -117,15 +126,15 @@ "metadata": {}, "outputs": [], "source": [ - "def pcac_mass(data, ca=0, **kwargs):\n", - " return ((data[1] - data[0]) / 2. + ca * (data[2] - 2 * data[3] + data[4])) / 2. / data[3]" + "second_deriv_fP = p_obs['f_P'].second_deriv()\n", + "second_deriv_fP.tag = r\"Second derivative of f_P\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Now we can construct the derived observable `pcac_mass` from the primary ones. Note the additional argument `ca` with which we can provide a value for the $\\mathrm{O}(a)$ improvement coefficient of the axial vector current." + "We can use these to obtain the unimproved PCAC mass:" ] }, { @@ -134,17 +143,15 @@ "metadata": {}, "outputs": [], "source": [ - "impr_mass = []\n", - "for i in range(1, len(p_obs['f_A']) - 1):\n", - " impr_mass.append(pcac_mass([p_obs['f_A'][i - 1], p_obs['f_A'][i + 1], p_obs['f_P'][i - 1],\n", - " p_obs['f_P'][i], p_obs['f_P'][i + 1]], ca=-0.03888694628624465))" + "am_pcac = first_deriv_fA / 2 / p_obs['f_P']\n", + "am_pcac.tag = \"Unimproved PCAC mass\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "To calculate the error of an observable we use the `gamma_method`. Let us have a look at the docstring" + "And with the inclusion of the improvement coefficient $c_\\mathrm{A}$ also the $\\mathrm{O}(a)$ improved PCAC mass:" ] }, { @@ -153,42 +160,26 @@ "metadata": {}, "outputs": [], "source": [ - "?pe.Obs.gamma_method" + "cA = -0.03888694628624465\n", + "am_pcac_impr = (first_deriv_fA + cA * second_deriv_fP) / 2 / p_obs['f_P']\n", + "am_pcac_impr.tag = \"Improved PCAC mass\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can apply the `gamma_method` to the pcac mass on every time slice for both the unimproved and the improved mass." + "We can take a look at the time dependence of the PCAC mass with the method `Corr.show`:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, - "outputs": [], - "source": [ - "masses = [uimpr_mass, impr_mass]\n", - "for i, item in enumerate(masses):\n", - " [o.gamma_method() for o in item]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can now have a look at the result by plotting the two lists of `Obs`" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -200,109 +191,64 @@ } ], "source": [ - "pe.plot_corrs([impr_mass, uimpr_mass], xrange=[0.5, 18.5], label=['Improved pcac mass', 'Unimproved pcac mass'])" + "am_pcac_impr.show(comp=am_pcac)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Tertiary observables" + "## Plateau values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "We can now construct a plateau as (tertiary) derived observable from the masses. At this point the distinction between primary and secondary observables becomes blurred. We can again and again resample objects into new observables which allows us to modulize the analysis. Note that `np.mean` and similar functions can be applied to the `Obs` as if they were real numbers." + "We can now construct a plateau as a derived observable from the masses." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fit with 1 parameters\n", + "Method: Levenberg-Marquardt\n", + "`ftol` termination condition is satisfied.\n", + "chisquare/d.o.f.: 0.2704765091136813\n", + "Result\t 5.03431904e-03 +/- 5.38835422e-04 +/- 8.24919899e-05 (10.703%)\n", + " t_int\t 5.15384615e-01 +/- 1.25000000e-01 S = 3.00\n", + "64 samples in 1 ensemble:\n", + " · Ensemble 'test_ensemble' : 64 configurations (from 1 to 64)\n" + ] + } + ], + "source": [ + "pcac_plateau = am_pcac_impr.plateau([7, 16]) # We manually specify the plateau range here\n", + "pcac_plateau.gamma_method()\n", + "pcac_plateau.details()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now plot the data with the two plateaus" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Result\t 4.79208242e-03 +/- 2.09091228e-04 +/- 1.90500140e-05 (4.363%)\n", - " t_int\t 1.09826949e+00 +/- 1.84087104e-01 S = 2.00\n" - ] - } - ], - "source": [ - "pcac_plateau = np.mean(impr_mass[6:15])\n", - "pcac_plateau.gamma_method()\n", - "pcac_plateau.print()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can also use a weighted average with given `plateau_range` (passed to the function as kwarg)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "def weighted_plateau(data, **kwargs):\n", - " if 'plateau_range' in kwargs:\n", - " plateau_range = kwargs.get('plateau_range')\n", - " else:\n", - " raise Exception('No range given.')\n", - " \n", - " num = 0\n", - " den = 0\n", - " for i in range(plateau_range[0], plateau_range[1]):\n", - " if data[i].dvalue == 0.0:\n", - " raise Exception('Run gamma_method for input first')\n", - " num += 1 / data[i].dvalue * data[i]\n", - " den += 1 / data[i].dvalue\n", - " return num / den" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Result\t 4.78698515e-03 +/- 2.04149923e-04 +/- 1.85998184e-05 (4.265%)\n", - " t_int\t 1.06605715e+00 +/- 1.79069383e-01 S = 2.00\n" - ] - } - ], - "source": [ - "w_pcac_plateau = weighted_plateau(impr_mass, plateau_range=[6, 15])\n", - "w_pcac_plateau.gamma_method()\n", - "w_pcac_plateau.print()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this case the two variants of the plateau are almost identical\n", - "\n", - "We can now plot the data with the two plateaus" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -314,8 +260,7 @@ } ], "source": [ - "pe.plot_corrs([impr_mass, uimpr_mass], plateau=[pcac_plateau, w_pcac_plateau], xrange=[0.5, 18.5],\n", - " label=['Improved pcac mass', 'Unimproved pcac mass'])" + "am_pcac_impr.show(comp=am_pcac, plateau=pcac_plateau)" ] }, { @@ -334,22 +279,24 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Result\t 4.79208242e-03 +/- 2.02509166e-04 +/- 2.05063968e-05 (4.226%)\n", - " t_int\t 1.03021214e+00 +/- 1.94552148e-01 S = 3.00\n" + "Result\t 5.03431904e-03 +/- 5.38835422e-04 +/- 8.24919899e-05 (10.703%)\n", + " t_int\t 5.15384615e-01 +/- 1.25000000e-01 S = 3.00\n", + "64 samples in 1 ensemble:\n", + " · Ensemble 'test_ensemble' : 64 configurations (from 1 to 64)\n" ] } ], "source": [ "pe.Obs.S_global = 3.0\n", "pcac_plateau.gamma_method()\n", - "pcac_plateau.print()" + "pcac_plateau.details()" ] }, { @@ -361,70 +308,23 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Result\t 4.79208242e-03 +/- 2.04669865e-04 +/- 1.97135904e-05 (4.271%)\n", - " t_int\t 1.05231340e+00 +/- 1.88061498e-01 S = 2.50\n" + "Result\t 5.03431904e-03 +/- 5.38835422e-04 +/- 8.24919899e-05 (10.703%)\n", + " t_int\t 5.15384615e-01 +/- 1.25000000e-01 S = 2.50\n", + "64 samples in 1 ensemble:\n", + " · Ensemble 'test_ensemble' : 64 configurations (from 1 to 64)\n" ] } ], "source": [ "pcac_plateau.gamma_method(S=2.5)\n", - "pcac_plateau.print()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can have a look at the respective normalized autocorrelation function (rho) and the integrated autocorrelation time" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pcac_plateau.plot_rho()\n", - "pcac_plateau.plot_tauint()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Critical slowing down" + "pcac_plateau.details()" ] }, { @@ -436,90 +336,23 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Result\t 4.79208242e-03 +/- 2.28649024e-04 +/- 1.67571716e-05 (4.771%)\n", - " t_int\t 1.31333644e+00 +/- 5.19554793e-01 tau_exp = 10.00, N_sigma = 1\n" + "Result\t 5.03431904e-03 +/- 7.82447810e-04 +/- 1.19787368e-04 (15.542%)\n", + " t_int\t 1.08675071e+00 +/- 1.63643098e+00 tau_exp = 10.00, N_sigma = 1\n", + "64 samples in 1 ensemble:\n", + " · Ensemble 'test_ensemble' : 64 configurations (from 1 to 64)\n" ] } ], "source": [ - "pcac_plateau.gamma_method(tau_exp=10, N_sigma=1)\n", - "pcac_plateau.print()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The attached tail, which takes into account long range autocorrelations, is shown in the plots for rho and tauint" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pcac_plateau.plot_rho()\n", - "pcac_plateau.plot_tauint()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Additional information on the ensembles and replicas can be printed with print level 2 (In this case there is only one ensemble with one replicum.)" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Result\t 4.79208242e-03 +/- 2.28649024e-04 +/- 1.67571716e-05 (4.771%)\n", - " t_int\t 1.31333644e+00 +/- 5.19554793e-01 tau_exp = 10.00, N_sigma = 1\n", - "1024 samples in 1 ensembles:\n", - " : ['B1k2r2']\n" - ] - } - ], - "source": [ - "pcac_plateau.print(2)" + "pcac_plateau.gamma_method(tau_exp=10)\n", + "pcac_plateau.details()" ] }, { @@ -531,12 +364,12 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -560,11 +393,11 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ - "pcac_plateau.dump('B1k2_pcac_plateau')" + "pe.input.json.dump_to_json(pcac_plateau, \"pcac_plateau_test_ensemble\")" ] }, { @@ -577,7 +410,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -591,7 +424,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.8.10" } }, "nbformat": 4, diff --git a/examples/data/correlator_test.json.gz b/examples/data/correlator_test.json.gz new file mode 100644 index 00000000..95c714ea Binary files /dev/null and b/examples/data/correlator_test.json.gz differ diff --git a/examples/data/f_A.json.gz b/examples/data/f_A.json.gz new file mode 100644 index 00000000..be30ce31 Binary files /dev/null and b/examples/data/f_A.json.gz differ diff --git a/examples/data/f_P.json.gz b/examples/data/f_P.json.gz new file mode 100644 index 00000000..60f31ad0 Binary files /dev/null and b/examples/data/f_P.json.gz differ diff --git a/pyerrors/fits.py b/pyerrors/fits.py index d446e72e..0cb704ec 100644 --- a/pyerrors/fits.py +++ b/pyerrors/fits.py @@ -703,7 +703,7 @@ def residual_plot(x, y, func, fit_res): ax1.plot(x, residuals, 'ko', ls='none', markersize=5) ax1.tick_params(direction='out') ax1.tick_params(axis="x", bottom=True, top=True, labelbottom=True) - ax1.axhline(y=0.0, ls='--', color='k') + ax1.axhline(y=0.0, ls='--', color='k', marker=" ") ax1.fill_between(x_samples, -1.0, 1.0, alpha=0.1, facecolor='k') ax1.set_xlim([xstart, xstop]) ax1.set_ylabel('Residuals')