diff --git a/seismostats/analysis/estimate_mc.py b/seismostats/analysis/estimate_mc.py index 227f7e1..6bc7105 100644 --- a/seismostats/analysis/estimate_mc.py +++ b/seismostats/analysis/estimate_mc.py @@ -44,6 +44,8 @@ def cdf_discrete_GR( def empirical_cdf( sample: np.ndarray | pd.Series, + mc: float = None, + delta_m: float = 1e-16, weights: np.ndarray | pd.Series | None = None, ) -> tuple[np.ndarray, np.ndarray]: """ @@ -52,11 +54,18 @@ def empirical_cdf( Parameters: sample: Magnitude sample + mc: Completeness magnitude, if None, the minimum of the sample + is used + delta_m: Magnitude bin size, by default 1e-16. Its recommended to + use the value that the samples are rounded to. weights: Sample weights, by default None Returns: - x: x-values of the empirical CDF - y: y-values of the empirical CDF + x: x-values of the empirical CDF (i.e. the unique vector of + magnitudes from mc to the maximum magnitude in the sample, + binned by delta_m) + y: y-values of the empirical CDF (i.e., the empirical + frequency observed in the sample corresponding to the x-values) """ try: @@ -69,17 +78,52 @@ def empirical_cdf( except BaseException: pass - idx = np.argsort(sample) - sample_sorted = sample[idx] + if delta_m == 0: + raise ValueError("delta_m has to be > 0") - if weights is not None: - weights_sorted = weights[idx] - x, y = sample_sorted, np.cumsum(weights_sorted) / weights_sorted.sum() - else: - x, y = sample_sorted, np.arange(1, len(sample) + 1) / len(sample) + if get_option("warnings") is True: + # check if binning is correct + if not np.allclose(sample, bin_to_precision(sample, delta_m)): + warnings.warn( + "Magnitudes are not binned correctly. " + "Test might fail because of this." + ) + if delta_m == 1e-16: + warnings.warn( + "delta_m = 1e-16, this might lead to extended computation time") + + if mc is None: + mc = np.min(sample) + idx1 = np.argsort(sample) + x = sample[idx1] x, y_count = np.unique(x, return_counts=True) - y = y[np.cumsum(y_count) - 1] + + # add empty bins + for mag_bin in bin_to_precision( + np.arange(mc, np.max(sample) + delta_m, delta_m), delta_m + ): + if mag_bin not in x: + x = np.append(x, mag_bin) + y_count = np.append(y_count, 0) + idx2 = np.argsort(x) + x = x[idx2] + y_count = y_count[idx2] + + # estimate the CDF + if weights is None: + y = np.cumsum(y_count) / len(sample) + else: + weights_sorted = weights[idx1] + y = np.cumsum(weights_sorted) / weights_sorted.sum() + + # make sure that y is zero if there are no samples in the first bins + for ii, y_loop in enumerate(y_count): + if y_loop > 0: + break + leading_zeros = np.zeros(ii) + y = np.append(leading_zeros, y[np.cumsum(y_count[ii:]) - 1]) + return x, y @@ -89,6 +133,7 @@ def ks_test_gr( delta_m: float, beta: float, n: int = 10000, + ks_ds: list | None = None, ) -> tuple[float, float, list[float]]: """ For a given magnitude sample and mc and beta, @@ -101,8 +146,12 @@ def ks_test_gr( mc: Completeness magnitude delta_m: Magnitude bin size beta : Beta parameter for the Gutenberg-Richter distribution - n: Number of times the KS distance is calculated for - estimating the p-value, by default 10000 + n: Number of times the KS distance is calculated from + synthetic samples with the given parameters, used for + estimating the p-value. By default 10000. + ks_ds: List of KS distances from synthetic data with the given + paramters. If None, they will be estimated here (then, n is + not needed). By default None. Returns: p_val: p-value @@ -121,23 +170,24 @@ def ks_test_gr( warnings.warn("sample contains only one value") return 0, 1, [] - ks_ds = [] + if ks_ds is None: + ks_ds = [] - n_sample = len(sample) - simulated_all = simulate_magnitudes_binned( - n * n_sample, beta, mc, delta_m, b_parameter="beta" - ) + n_sample = len(sample) + simulated_all = simulate_magnitudes_binned( + n * n_sample, beta, mc, delta_m, b_parameter="beta" + ) - for ii in range(n): - simulated = simulated_all[n_sample * ii: n_sample * (ii + 1)] - _, y_th = cdf_discrete_GR(simulated, mc=mc, delta_m=delta_m, beta=beta) - _, y_emp = empirical_cdf(simulated) + for ii in range(n): + simulated = simulated_all[n_sample * ii: n_sample * (ii + 1)] + x, y_emp = empirical_cdf(simulated, mc, delta_m) + _, y_th = cdf_discrete_GR(x, mc=mc, delta_m=delta_m, beta=beta) - ks_d = np.max(np.abs(y_emp - y_th)) - ks_ds.append(ks_d) + ks_d = np.max(np.abs(y_emp - y_th)) + ks_ds.append(ks_d) - _, y_th = cdf_discrete_GR(sample, mc=mc, delta_m=delta_m, beta=beta) - _, y_emp = empirical_cdf(sample) + x, y_emp = empirical_cdf(sample, mc, delta_m) + _, y_th = cdf_discrete_GR(x, mc=mc, delta_m=delta_m, beta=beta) ks_d_obs = np.max(np.abs(y_emp - y_th)) p_val = sum(ks_ds >= ks_d_obs) / len(ks_ds) @@ -155,6 +205,7 @@ def mc_ks( beta: float | None = None, b_method: str | None = None, n: int = 10000, + ks_ds_list: list[list] | None = None, ) -> tuple[np.ndarray, list[float], np.ndarray, float | None, float | None]: """ Return the completeness magnitude (mc) estimate @@ -183,6 +234,10 @@ def mc_ks( n: Number of number of times the KS distance is calculated for estimating the p-value, by default 10000 + ks_ds_list: List of list of KS distances from synthetic data + (needed for testing). If None, they will be estimated + in this funciton. By default None + Returns: mcs_test: tested completeness magnitudes ks_ds: KS distances @@ -201,6 +256,11 @@ def mc_ks( if not np.all(np.diff(mcs_test) > 0): warnings.warn("mcs_test are being re-ordered by size.") mcs_test = np.sort(np.unique(mcs_test)) + if not np.allclose(mcs_test, bin_to_precision(mcs_test, delta_m)): + warnings.warn( + "mc_test are not binned correctly," + "this might affect the test." + ) if get_option("warnings") is True: # check if binning is correct @@ -228,7 +288,7 @@ def mc_ks( ps = [] betas = [] - for mc in mcs_test: + for ii, mc in enumerate(mcs_test): if verbose: print("\ntesting mc", mc) @@ -247,9 +307,19 @@ def mc_ks( else: mc_beta = beta - p, ks_d, _ = ks_test_gr( - mc_sample, mc=mc, delta_m=delta_m, beta=mc_beta, n=n - ) + if ks_ds_list is None: + p, ks_d, _ = ks_test_gr( + mc_sample, mc=mc, delta_m=delta_m, beta=mc_beta, n=n + ) + else: + p, ks_d, _ = ks_test_gr( + mc_sample, + mc=mc, + delta_m=delta_m, + beta=mc_beta, + n=n, + ks_ds=ks_ds_list[ii], + 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a/seismostats/analysis/tests/test_estimate_mc.py +++ b/seismostats/analysis/tests/test_estimate_mc.py @@ -1,9 +1,9 @@ -import pickle - import numpy as np +import pandas as pd import pytest from numpy.testing import assert_allclose, assert_almost_equal, assert_equal +from seismostats.analysis.estimate_mc import bin_to_precision from seismostats.analysis.estimate_mc import (empirical_cdf, mc_ks, mc_max_curvature) @@ -117,42 +117,80 @@ def setup_magnitudes(): return mags -# load data for test_empirical_cdf -with open("seismostats/analysis/tests/data/test_empirical_cdf.p", "rb") as f: - data = pickle.load(f) - +def test_empirical_cdf(setup_magnitudes, delta_m=0.1): + x, y = empirical_cdf(setup_magnitudes, delta_m=delta_m) -@pytest.mark.parametrize("sample,xs,ys", [data["values_test"]]) -def test_empirical_cdf(sample, xs, ys): - x, y = empirical_cdf(sample) + x_expected = bin_to_precision(np.arange(min(setup_magnitudes), max( + setup_magnitudes) + delta_m, delta_m)) - assert_allclose(x, xs, rtol=1e-7) - assert_allclose(y, ys, rtol=1e-7) + assert_allclose(x, x_expected, rtol=1e-7) + assert_equal(y[-1], 1) + assert_equal(len(x), len(y)) + assert_equal(y[0], 0.06) + # test that weights function the way that they should + # 1. with equal weights + magnitudes = np.array([0.5, 0.6, 0.7, 0.8, 0.9]) + weights = np.array([1, 1, 1, 1, 1]) + x_weight, y_weight = empirical_cdf( + magnitudes, mc=0, delta_m=0.1, weights=weights) + x, y = empirical_cdf(magnitudes, mc=0, delta_m=0.1) + assert_almost_equal(x_weight, np.arange(0, 1, 0.1)) + assert_almost_equal(y_weight, [0, 0, 0, 0, 0, 0.2, 0.4, 0.6, 0.8, 1]) + assert_almost_equal(x_weight, x) + assert_almost_equal(y_weight, y) -# load data for test_estimate_mc -with open("seismostats/analysis/tests/data/test_estimate_mc.p", "rb") as f: - data = pickle.load(f) + # 2. with different weights + magnitudes = np.array([0.5, 0.6, 0.7, 0.8, 0.9]) + weights = np.array([0.5, 0.5, 0.5, 0.5, 3]) + x_weight, y_weight = empirical_cdf( + magnitudes, mc=0, delta_m=0.1, weights=weights) + assert_almost_equal(x_weight, np.arange(0, 1, 0.1)) + assert_almost_equal(y_weight, [0, 0, 0, 0, 0, 0.1, 0.2, 0.3, 0.4, 1]) -@pytest.mark.parametrize( - "mags,mcs", - [data["values_test"]], -) -def test_estimate_mc_ks(mags, mcs): +@pytest.fixture +def setup_ks_dists(): + ks_ds_df = pd.read_csv( + 'seismostats/analysis/tests/data/ks_ds.csv', index_col=0) + ks_ds_list = ks_ds_df.values.T + return ks_ds_list + + +def test_estimate_mc_ks( + setup_magnitudes, + setup_ks_dists, + mcs=[0.8, 0.9, 1.0, 1.1] +): + # test when beta is given + best_mc, best_beta, mcs_tested, betas, ks_ds, ps = mc_ks( + setup_magnitudes, + delta_m=0.1, + mcs_test=mcs, + p_pass=0.1, + beta=2.24, + ks_ds_list=setup_ks_dists, + ) + assert_equal(1.1, best_mc) + assert_equal(2.24, best_beta) + assert_allclose( + [2.24, 2.24, 2.24, 2.24], + betas, + rtol=1e-7, + ) + assert_allclose([0.0, 0.0, 0.0128, 0.4405], ps, atol=0.03) + assert_equal(mcs_tested, mcs) # test when beta is not given best_mc, best_beta, mcs_tested, betas, ks_ds, ps = mc_ks( - mags, delta_m=0.1, mcs_test=mcs, p_pass=0.1 + setup_magnitudes, + delta_m=0.1, + mcs_test=[1.1], + p_pass=0.1, ) - assert_equal(1.1, best_mc) assert_almost_equal(2.242124985031149, best_beta) - assert_equal([0.8, 0.9, 1.0, 1.1], mcs_tested) assert_allclose( [ - 0.2819699492277921, - 0.21699092832299466, - 0.11605633802816911, 0.07087102843116255, ], ks_ds, @@ -160,47 +198,37 @@ def test_estimate_mc_ks(mags, mcs): ) assert_allclose( [ - 1.395015596110264, - 1.6216675481549436, - 1.9365312280350473, 2.242124985031149, ], betas, rtol=1e-7, ) - assert_allclose([0.000e00, 1.000e-04, 5.100e-02, 4.362e-01], ps, atol=0.03) - - # test when beta is given - best_mc, best_beta, mcs_tested, betas, ks_ds, ps = mc_ks( - mags, delta_m=0.1, mcs_test=mcs, p_pass=0.1, beta=2.24 - ) - assert_equal(1.1, best_mc) - assert_equal(2.24, best_beta) - assert_allclose( - [2.24, 2.24, 2.24, 2.24], - betas, - rtol=1e-7, - ) - assert_allclose([0.0, 0.0, 0.0128, 0.4405], ps, atol=0.03) + assert_allclose([4.362e-01], ps, atol=0.03) # test when mcs are not given best_mc, best_beta, mcs_tested, betas, ks_ds, ps = mc_ks( - mags, delta_m=0.1, p_pass=0.1 + setup_magnitudes, + delta_m=0.1, + p_pass=0.1, + beta=2.24, + ks_ds_list=setup_ks_dists[2:], ) assert_equal(1.1, best_mc) - assert_almost_equal(2.242124985031149, best_beta) assert_equal([1.0, 1.1], mcs_tested) # test when b-positive is used best_mc, best_beta, mcs_tested, betas, ks_ds, ps = mc_ks( - mags, delta_m=0.1, b_method="positive" + setup_magnitudes, + delta_m=0.1, + mcs_test=[1.5], + b_method="positive" ) assert_equal(1.5, best_mc) assert_almost_equal(3.2542240043462796, best_beta) - assert_equal(len(mcs_tested), 6) - assert_equal(len(betas), 6) - assert_equal(len(ks_ds), 6) - assert_equal(len(ps), 6) + assert_equal(len(mcs_tested), 1) + assert_equal(len(betas), 1) + assert_equal(len(ks_ds), 1) + assert_equal(len(ps), 1) def test_estimate_mc_maxc(setup_magnitudes):