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authorMatt A. Tobin <email@mattatobin.com>2020-04-07 23:30:51 -0400
committerwolfbeast <mcwerewolf@wolfbeast.com>2020-04-14 13:26:42 +0200
commit277f2116b6660e9bbe7f5d67524be57eceb49b8b (patch)
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Move aom source to a sub-directory under media/libaom
There is no damned reason to treat this differently than any other media lib given its license and there never was.
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-#!/usr/bin/python
-##
-## Copyright (c) 2016, Alliance for Open Media. All rights reserved
-##
-## This source code is subject to the terms of the BSD 2 Clause License and
-## the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
-## was not distributed with this source code in the LICENSE file, you can
-## obtain it at www.aomedia.org/license/software. If the Alliance for Open
-## Media Patent License 1.0 was not distributed with this source code in the
-## PATENTS file, you can obtain it at www.aomedia.org/license/patent.
-##
-"""Generate the probability model for the constrained token set.
-
-Model obtained from a 2-sided zero-centered distribution derived
-from a Pareto distribution. The cdf of the distribution is:
-cdf(x) = 0.5 + 0.5 * sgn(x) * [1 - {alpha/(alpha + |x|)} ^ beta]
-
-For a given beta and a given probability of the 1-node, the alpha
-is first solved, and then the {alpha, beta} pair is used to generate
-the probabilities for the rest of the nodes.
-"""
-
-import heapq
-import sys
-import numpy as np
-import scipy.optimize
-import scipy.stats
-
-
-def cdf_spareto(x, xm, beta):
- p = 1 - (xm / (np.abs(x) + xm))**beta
- p = 0.5 + 0.5 * np.sign(x) * p
- return p
-
-
-def get_spareto(p, beta):
- cdf = cdf_spareto
-
- def func(x):
- return ((cdf(1.5, x, beta) - cdf(0.5, x, beta)) /
- (1 - cdf(0.5, x, beta)) - p)**2
-
- alpha = scipy.optimize.fminbound(func, 1e-12, 10000, xtol=1e-12)
- parray = np.zeros(11)
- parray[0] = 2 * (cdf(0.5, alpha, beta) - 0.5)
- parray[1] = (2 * (cdf(1.5, alpha, beta) - cdf(0.5, alpha, beta)))
- parray[2] = (2 * (cdf(2.5, alpha, beta) - cdf(1.5, alpha, beta)))
- parray[3] = (2 * (cdf(3.5, alpha, beta) - cdf(2.5, alpha, beta)))
- parray[4] = (2 * (cdf(4.5, alpha, beta) - cdf(3.5, alpha, beta)))
- parray[5] = (2 * (cdf(6.5, alpha, beta) - cdf(4.5, alpha, beta)))
- parray[6] = (2 * (cdf(10.5, alpha, beta) - cdf(6.5, alpha, beta)))
- parray[7] = (2 * (cdf(18.5, alpha, beta) - cdf(10.5, alpha, beta)))
- parray[8] = (2 * (cdf(34.5, alpha, beta) - cdf(18.5, alpha, beta)))
- parray[9] = (2 * (cdf(66.5, alpha, beta) - cdf(34.5, alpha, beta)))
- parray[10] = 2 * (1. - cdf(66.5, alpha, beta))
- return parray
-
-
-def quantize_probs(p, save_first_bin, bits):
- """Quantize probability precisely.
-
- Quantize probabilities minimizing dH (Kullback-Leibler divergence)
- approximated by: sum (p_i-q_i)^2/p_i.
- References:
- https://en.wikipedia.org/wiki/Kullback%E2%80%93Leibler_divergence
- https://github.com/JarekDuda/AsymmetricNumeralSystemsToolkit
- """
- num_sym = p.size
- p = np.clip(p, 1e-16, 1)
- L = 2**bits
- pL = p * L
- ip = 1. / p # inverse probability
- q = np.clip(np.round(pL), 1, L + 1 - num_sym)
- quant_err = (pL - q)**2 * ip
- sgn = np.sign(L - q.sum()) # direction of correction
- if sgn != 0: # correction is needed
- v = [] # heap of adjustment results (adjustment err, index) of each symbol
- for i in range(1 if save_first_bin else 0, num_sym):
- q_adj = q[i] + sgn
- if q_adj > 0 and q_adj < L:
- adj_err = (pL[i] - q_adj)**2 * ip[i] - quant_err[i]
- heapq.heappush(v, (adj_err, i))
- while q.sum() != L:
- # apply lowest error adjustment
- (adj_err, i) = heapq.heappop(v)
- quant_err[i] += adj_err
- q[i] += sgn
- # calculate the cost of adjusting this symbol again
- q_adj = q[i] + sgn
- if q_adj > 0 and q_adj < L:
- adj_err = (pL[i] - q_adj)**2 * ip[i] - quant_err[i]
- heapq.heappush(v, (adj_err, i))
- return q
-
-
-def get_quantized_spareto(p, beta, bits, first_token):
- parray = get_spareto(p, beta)
- parray = parray[1:] / (1 - parray[0])
- # CONFIG_NEW_TOKENSET
- if first_token > 1:
- parray = parray[1:] / (1 - parray[0])
- qarray = quantize_probs(parray, first_token == 1, bits)
- return qarray.astype(np.int)
-
-
-def main(bits=15, first_token=1):
- beta = 8
- for q in range(1, 256):
- parray = get_quantized_spareto(q / 256., beta, bits, first_token)
- assert parray.sum() == 2**bits
- print '{', ', '.join('%d' % i for i in parray), '},'
-
-
-if __name__ == '__main__':
- if len(sys.argv) > 2:
- main(int(sys.argv[1]), int(sys.argv[2]))
- elif len(sys.argv) > 1:
- main(int(sys.argv[1]))
- else:
- main()