From 19fa983437883f6abdb0ea59d1ea057cbc458c9c Mon Sep 17 00:00:00 2001 From: josemiotto Date: Fri, 21 Aug 2020 17:45:32 +0200 Subject: [PATCH] Correction to alpha=1 formula. Fixes #15. --- levy/__init__.py | 15 ++++++++++----- levy/cdf.npz | Bin 12281844 -> 12281844 bytes levy/lower_limit.npz | Bin 61652 -> 61652 bytes levy/pdf.npz | Bin 12281844 -> 12281844 bytes levy/upper_limit.npz | Bin 61652 -> 61652 bytes 5 files changed, 10 insertions(+), 5 deletions(-) diff --git a/levy/__init__.py b/levy/__init__.py index f70f15b..5311c4d 100644 --- a/levy/__init__.py +++ b/levy/__init__.py @@ -40,7 +40,7 @@ Parameters.convert to transform the parameters from one parametrization to another. The module uses internally parametrization 0. -- pylevy does not support alpha values less than 0.5. +- pylevy does not support alpha values lower than 0.5. """ import sys @@ -305,11 +305,14 @@ def _calculate_levy(x, alpha, beta, cdf=False): if alpha == 1: li = 1e-10 + # These functions need a correction, since the distribution is displaced, probably get rid of "-u" at the end def func_cos(u): - return np.exp(-u) * np.cos(-beta * 2 / np.pi * (u * np.log(u) - u)) + # return np.exp(-u) * np.cos(-beta * 2 / np.pi * (u * np.log(u) - u)) + return np.exp(-u) * np.cos(-beta * 2 / np.pi * u * np.log(u)) def func_sin(u): - return np.exp(-u) * np.sin(-beta * 2 / np.pi * (u * np.log(u) - u)) + # return np.exp(-u) * np.sin(-beta * 2 / np.pi * (u * np.log(u) - u)) + return np.exp(-u) * np.sin(-beta * 2 / np.pi * u * np.log(u)) else: li = 0 @@ -342,7 +345,9 @@ def _approximate(x, alpha, beta, cdf=False): values[mask] *= (1.0 + beta) values[~mask] *= (1.0 - beta) if cdf: - return 1.0 - values * x + values[mask] = 1.0 - values[mask] * x[mask] + values[~mask] = values[~mask] * (-x[~mask]) + return values else: return values * alpha @@ -603,7 +608,7 @@ def random(alpha, beta, mu=0.0, sigma=1.0, shape=()): return np.random.standard_normal(shape) * np.sqrt(2.0) # Fails for alpha exactly equal to 1.0 - # but works fine for alpha infinitesimally greater or less than 1.0 + # but works fine for alpha infinitesimally greater or lower than 1.0 radius = 1e-15 # <<< this number is *very* small if np.absolute(alpha - 1.0) < radius: # So doing this will make almost exactly no difference at all diff --git a/levy/cdf.npz b/levy/cdf.npz index a1c1f221423955de460034f68acbecbd9e97ad51..ec72fbea0932003189aab718fea72220746ef3a5 100644 GIT binary patch delta 164031 zcmX7w2{;t&*T$!kkfNd#m83|LBunH>_G}@cQXyrDP}af>*_Z75Hujyd?~Hwm5G5oP zrKBh!k?*|!uj}eM&3NByM&^F*`~1#%T6{6LbrFB>)>Pd>$42=7Uq=Xqc84^Ice`CC z(XJinf1(M5P1p8uX|v4Qx34Q2|0X)2LNC)|#T<=9jVVG|;}kdI<<&13zpt zuns=zb=AZ=zG?Q^UuAq_E;1RJSXmcGXBY8etOpv7pS^>KldY%FhbfSbZbg?o7p8UND>jdu|l>&Jn zR9SVW>tj8z>_A6{HEhAayhsiRbc;`3UdK8f{Zf`5>v6|BmBq67g8V1X+{8*4`NG 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