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commit
e88b8a88d1
16 changed files with 724 additions and 91 deletions
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@ -2,18 +2,37 @@
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# Licensed under the BSD 3-clause license (see LICENSE.txt)
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import numpy as np
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from scipy.special import cbrt
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from .config import *
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_lim_val = np.finfo(np.float64).max
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_lim_val_exp = np.log(_lim_val)
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_lim_val_square = np.sqrt(_lim_val)
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_lim_val_cube = np.power(_lim_val, -3)
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#_lim_val_cube = cbrt(_lim_val)
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_lim_val_cube = np.nextafter(_lim_val**(1/3.0), -np.inf)
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_lim_val_quad = np.nextafter(_lim_val**(1/4.0), -np.inf)
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_lim_val_three_times = np.nextafter(_lim_val/3.0, -np.inf)
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def safe_exp(f):
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clip_f = np.clip(f, -np.inf, _lim_val_exp)
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return np.exp(clip_f)
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def safe_square(f):
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f = np.clip(f, -np.inf, _lim_val_square)
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return f**2
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def safe_cube(f):
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f = np.clip(f, -np.inf, _lim_val_cube)
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return f**3
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def safe_quad(f):
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f = np.clip(f, -np.inf, _lim_val_quad)
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return f**4
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def safe_three_times(f):
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f = np.clip(f, -np.inf, _lim_val_three_times)
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return 3*f
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def chain_1(df_dg, dg_dx):
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"""
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Generic chaining function for first derivative
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@ -39,8 +58,8 @@ def chain_2(d2f_dg2, dg_dx, df_dg, d2g_dx2):
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return d2f_dg2
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if len(d2f_dg2) > 1 and len(d2f_dg2.shape)>1 and d2f_dg2.shape[-1] > 1:
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raise NotImplementedError('Not implemented for matricies yet')
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#dg_dx_2 = np.clip(dg_dx, 1e-12, _lim_val_square)**2
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dg_dx_2 = dg_dx**2
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dg_dx_2 = np.clip(dg_dx, -np.inf, _lim_val_square)**2
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#dg_dx_2 = dg_dx**2
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return d2f_dg2*(dg_dx_2) + df_dg*d2g_dx2
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def chain_3(d3f_dg3, dg_dx, d2f_dg2, d2g_dx2, df_dg, d3g_dx3):
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@ -55,8 +74,8 @@ def chain_3(d3f_dg3, dg_dx, d2f_dg2, d2g_dx2, df_dg, d3g_dx3):
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if ( (len(d2f_dg2) > 1 and d2f_dg2.shape[-1] > 1)
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or (len(d3f_dg3) > 1 and d3f_dg3.shape[-1] > 1)):
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raise NotImplementedError('Not implemented for matricies yet')
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#dg_dx_3 = np.clip(dg_dx, 1e-12, _lim_val_cube)**3
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dg_dx_3 = dg_dx**3
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dg_dx_3 = np.clip(dg_dx, -np.inf, _lim_val_cube)**3
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#dg_dx_3 = dg_dx**3
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return d3f_dg3*(dg_dx_3) + 3*d2f_dg2*dg_dx*d2g_dx2 + df_dg*d3g_dx3
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def opt_wrapper(m, **kwargs):
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