From 65871dc8b2866d080c576ee3a10c332f64aaf57e Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Wed, 22 Apr 2026 01:18:18 -0500 Subject: [PATCH 01/36] Created kronecker folder and search method --- .../kronecker/__init__.py | 1 + .../{ => kronecker}/kronecker.py | 4 +- .../kronecker/kronecker_search_methods.py | 88 +++++++++++++++++++ 3 files changed, 91 insertions(+), 2 deletions(-) create mode 100644 qmcpy/discrete_distribution/kronecker/__init__.py rename qmcpy/discrete_distribution/{ => kronecker}/kronecker.py (99%) create mode 100644 qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py diff --git a/qmcpy/discrete_distribution/kronecker/__init__.py b/qmcpy/discrete_distribution/kronecker/__init__.py new file mode 100644 index 000000000..6d0653bb3 --- /dev/null +++ b/qmcpy/discrete_distribution/kronecker/__init__.py @@ -0,0 +1 @@ +from .kronecker import Kronecker \ No newline at end of file diff --git a/qmcpy/discrete_distribution/kronecker.py b/qmcpy/discrete_distribution/kronecker/kronecker.py similarity index 99% rename from qmcpy/discrete_distribution/kronecker.py rename to qmcpy/discrete_distribution/kronecker/kronecker.py index 1b9c2de5b..98e7653a2 100644 --- a/qmcpy/discrete_distribution/kronecker.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker.py @@ -1,5 +1,5 @@ -from .abstract_discrete_distribution import AbstractLDDiscreteDistribution -from ..util import ParameterError +from ..abstract_discrete_distribution import AbstractLDDiscreteDistribution +from ...util import ParameterError import numpy as np import warnings diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py new file mode 100644 index 000000000..3fdb298ec --- /dev/null +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -0,0 +1,88 @@ +import numpy as np +from sympy import gcdex, primerange, prime +#https://github.com/sympy/sympy/releases + +# I can't find where Jimmy's code for the kronecker search from SURE 2025 is, so I've temporarily put my method here +# Currently, this produces results that are very similar but not identical to my matlab code, which is a bit concerning. +# The wssd of the two methods are typically the same to 2-3 decimal places, depending on N and d + +def KTildeEx(t): + b = t * (t - 1) + 1/6 + step = 1 + b * (1 / (np.arange(1, len(t) + 1) ** 2)) + k = np.prod(step) + return k + +def kronecker_search_march_2026(N, dMax, searchsize): + if searchsize < 2: + raise ValueError("searchsize must be at least 2.") + if N < 2: + raise ValueError("N must be at least 2.") + if dMax < 1: + raise ValueError("dMax must be at least 1.") + + # search over the first n primes, n = searchsize + searchspace = np.array(list(primerange(1, prime(searchsize)+1))) + + alpha = np.zeros(dMax) + # we pick the golden ratio as the first alpha + alpha[0] = (np.sqrt(5) - 1) / 2 + alpha[0] = (np.sqrt(5) - 1) / 2 + + diff = np.cumsum(1.0 / np.arange(N, 1, -1)) + freq = np.cumsum(diff) + freq = np.flip(freq) + + # Compute Bezout coefficients for all pairs in the search space + bezoutCoeffs = np.zeros((searchsize, searchsize)) + for i in range(searchsize - 1): + a = searchspace[i] + for j in range(i + 1, searchsize): + c = searchspace[j] + # Use sympy.gcdex to get Bezout coefficients + d_coeff, b_coeff, _ = gcdex(int(a), int(c)) + bezoutCoeffs[i, j] = b_coeff + bezoutCoeffs[j, i] = d_coeff + bezoutCoeffs = np.abs(bezoutCoeffs) + + # setting up some useful variables for the search + coeff = np.zeros((dMax - 1, 4)) + num = N * (N + 1) / 2 + t = np.mod(alpha[0] * np.arange(1,N), 1) + kPrev = 1 + (t * (t - 1) + 1/6) + + # the main search loop + for dim in range(1, dMax): + best = np.array([0, 0, 0, 0, np.inf]) + nK0 = N * KTildeEx(np.zeros(dim+1)) + for i in range(searchsize): + p1 = searchspace[i] + for j in range(searchsize): + if j == i: + continue + p2 = searchspace[j] + b = bezoutCoeffs[i, j] + d = bezoutCoeffs[j, i] + alpha_dim = (p1 * alpha[dim - 1] + b) / (p2 * alpha[dim - 1] + d) + t = (alpha_dim * np.arange(1, N)) - np.floor(alpha_dim * np.arange(1, N)) + k_vector = kPrev * (1 + (t * (t - 1) + 1/6) / ((dim+1) ** 2)) + + wssd = nK0 - num + 2 * np.dot(freq, k_vector) + + if wssd < best[4]: + best[0] = p1 + best[1] = b + best[2] = p2 + best[3] = d + best[4] = wssd + + alpha_d = (best[0] * alpha[dim - 1] + best[1]) / (best[2] * alpha[dim - 1] + best[3]) + alpha[dim] = np.mod(alpha_d, 1) + t = np.mod(alpha[dim] * np.arange(1, N), 1) + kPrev = kPrev * (1 + (t * (t - 1) + 1/6) / ((dim+1) ** 2)) + coeff[dim - 1, :] = [best[0], best[1], best[2], best[3]] + #print(coeff[dim - 1, :], best[4]) #debugging line to check the coefficients and wssd at each dimension + + return alpha + +# quick and dirty test +# print(kronecker_search_march_2026(10000, 20, 50)) \ No newline at end of file From 4350e46f2105f8c3ea079828a6d2e639164bc8f9 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 18 May 2026 09:50:52 -0500 Subject: [PATCH 02/36] Clarified kronecker_search_methods.py --- .../kronecker/kronecker_search_methods.py | 164 +++++++++++++----- 1 file changed, 116 insertions(+), 48 deletions(-) diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index 3fdb298ec..45bd39d35 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -1,38 +1,72 @@ import numpy as np from sympy import gcdex, primerange, prime +np.set_printoptions(precision=17) #https://github.com/sympy/sympy/releases # I can't find where Jimmy's code for the kronecker search from SURE 2025 is, so I've temporarily put my method here -# Currently, this produces results that are very similar but not identical to my matlab code, which is a bit concerning. -# The wssd of the two methods are typically the same to 2-3 decimal places, depending on N and d -def KTildeEx(t): - b = t * (t - 1) + 1/6 - step = 1 + b * (1 / (np.arange(1, len(t) + 1) ** 2)) - k = np.prod(step) - return k +def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, alpha_0=None, return_coeffs=False): + """ + Args: + N (int): The maximum sample size to be searched over. + dMax (int): The maximum dimension for which to find the generating vector. + searchsize (int): The number of primes to search over for each component of the generating vector. + coord_weights (array-like, optional): An array of coordinate weights to use in the search. If None, weights are set to j^(-2). + alpha_0 (float, optional): The value for the first component of the generating vector. If None, the golden ratio is used. Note that alpha_0 is taken mod 1. + return_coeffs (bool, optional): Whether to return the coefficients of the linear transformation. Default is False. + Returns: + alpha, coeff (tuple): + - alpha (numpy array): The generating vector found by the search. + - coeff (numpy array, optional): The coefficients of the linear transformation used in the search, returned only if return_coeffs is True. A description of the coeff array is found below. + Complexity: + The time complexity of the search is O(searchsize^2 * dMax * N). + Approach: + Uses the quadratic Bernoulli polynomial kernel to conduct a CBC search for a generating vector, minimizing the weighted sum of squared discrepancies (wssd) with weights w_n = n. + Details on coeff array: + The coeff array, if returned, is a (dMax-1) x 4 array where each row corresponds to a dimension from 2 to dMax. The columns correspond to the coefficients of the linear transformation used to compute the alpha component for that dimension. Specifically, + - alpha[dim+1] = (coeff[dim, 0] * alpha[dim] + coeff[dim, 1]) / (coeff[dim, 2] * alpha[dim] + coeff[dim, 3]) + """ -def kronecker_search_march_2026(N, dMax, searchsize): if searchsize < 2: raise ValueError("searchsize must be at least 2.") if N < 2: raise ValueError("N must be at least 2.") if dMax < 1: raise ValueError("dMax must be at least 1.") + if coord_weights is not None and len(coord_weights) < dMax: + raise ValueError("Length of coord_weights must be greater than or equal to dMax.") - # search over the first n primes, n = searchsize - searchspace = np.array(list(primerange(1, prime(searchsize)+1))) - alpha = np.zeros(dMax) - # we pick the golden ratio as the first alpha - alpha[0] = (np.sqrt(5) - 1) / 2 - alpha[0] = (np.sqrt(5) - 1) / 2 + # the quadratic Bernoulli polynomial + bernoulli2 = lambda t: t * (t - 1) + 1/6 - diff = np.cumsum(1.0 / np.arange(N, 1, -1)) + # define coordinate weights if not provided, default to j^(-2) + if coord_weights is None: + coord_weights = np.array([j**(-2) for j in range(1, dMax + 1)], dtype=np.float64) + + # search over the first n primes, n = searchsize + searchspace = np.array(list(primerange(1, prime(searchsize)+1)), dtype=np.float64) + + # alpha is our generating vector, will be found cbc + alpha = np.zeros(dMax, dtype=np.float64) + + # we pick the golden ratio as the first component of alpha, or let the user specify + if alpha_0 is None: + alpha[0] = np.float64((np.sqrt(5) - 1) / 2) + else: + alpha[0] = np.mod(alpha_0, 1,dtype=np.float64) + + # precompute several constants for the wssd calculation + diff = np.cumsum(1.0 / np.arange(N, 1, -1,dtype=np.float64)) freq = np.cumsum(diff) freq = np.flip(freq) - - # Compute Bezout coefficients for all pairs in the search space + + num = N * (N + 1) / 2 + + nK0 = (1 + coord_weights/6) + nK0 = N * np.cumprod(nK0) + + # precompute Bezout coefficients for all pairs of primes in the search space bezoutCoeffs = np.zeros((searchsize, searchsize)) for i in range(searchsize - 1): a = searchspace[i] @@ -40,49 +74,83 @@ def kronecker_search_march_2026(N, dMax, searchsize): c = searchspace[j] # Use sympy.gcdex to get Bezout coefficients d_coeff, b_coeff, _ = gcdex(int(a), int(c)) - bezoutCoeffs[i, j] = b_coeff - bezoutCoeffs[j, i] = d_coeff - bezoutCoeffs = np.abs(bezoutCoeffs) - + bezoutCoeffs[i, j] = np.float64(b_coeff) + bezoutCoeffs[j, i] = np.float64(d_coeff) + + # setting up some useful variables for the search - coeff = np.zeros((dMax - 1, 4)) - num = N * (N + 1) / 2 - t = np.mod(alpha[0] * np.arange(1,N), 1) - kPrev = 1 + (t * (t - 1) + 1/6) + coeff = np.zeros((dMax - 1, 4)) # stores the coefficients of the linear transformation at each dimension + t = alpha[0] * np.arange(1, N) % 1 # t vector is the vector of coordinates generated for the first dimension + kPrev = 1 + coord_weights[0] * bernoulli2(t) # gets the k vector for the first dimension, which is used in the wssd calculation and updated each dimension of the search. + # The k vector is Ktilde(x_i) for i = 1,...,N-1, where Ktilde is the kernel and x_i are the points generated by the alpha vector, up to the current dimension. # the main search loop for dim in range(1, dMax): - best = np.array([0, 0, 0, 0, np.inf]) - nK0 = N * KTildeEx(np.zeros(dim+1)) + best_wssd = np.inf # stores the current wssd found for each dimension, initialized to infinity + best_alpha = 0 # stores the current best alpha component found for this dimension, initialized to 0 + best_k = None # stores the k vector for the current best alpha, used to update the k vector for the next dimension after the search is done for this dimension for i in range(searchsize): - p1 = searchspace[i] + p1 = searchspace[i] for j in range(searchsize): - if j == i: + if j == i: # the two primes have to be distinct, so we skip this case continue + p2 = searchspace[j] + b = bezoutCoeffs[i, j] d = bezoutCoeffs[j, i] - alpha_dim = (p1 * alpha[dim - 1] + b) / (p2 * alpha[dim - 1] + d) - t = (alpha_dim * np.arange(1, N)) - np.floor(alpha_dim * np.arange(1, N)) - k_vector = kPrev * (1 + (t * (t - 1) + 1/6) / ((dim+1) ** 2)) + + if b < 0: # we search over both minimal Bezout coefficients + b1 = -b + d1 = d + b2 = np.abs(b + p1) + d2 = np.abs(d -p2) + else: + d1 = -d + b1 = b + d2 = np.abs(d + p2) + b2 = np.abs(b - p1) - wssd = nK0 - num + 2 * np.dot(freq, k_vector) + alpha_dim1 = (p1 * alpha[dim - 1] + b1) / (p2 * alpha[dim - 1] + d1) # the linear transformation to get the next alpha_dim candidate to test + alpha_dim2 = (p1 * alpha[dim - 1] + b2) / (p2 * alpha[dim - 1] + d2) # the other candidate from the linear transformation + t1 = (alpha_dim1 * np.arange(1, N)) - np.floor(alpha_dim1 * np.arange(1, N)) # vector of coordinates generated by this candidate component + t2 = (alpha_dim2 * np.arange(1, N)) - np.floor(alpha_dim2 * np.arange(1, N)) + k_vector1 = kPrev * (1 + bernoulli2(t1) * coord_weights[dim]) # get the k vector for this candidate component, used in the wssd calculation + k_vector2 = kPrev * (1 + bernoulli2(t2) * coord_weights[dim]) + + wssd1 = np.dot(freq, k_vector1) + wssd2 = np.dot(freq, k_vector2) + + if wssd1 < wssd2: + b = b1 + d = d1 + wssd = wssd1 + k_vector = k_vector1 + alpha_dim = alpha_dim1 + else: + b = b2 + d = d2 + wssd = wssd2 + k_vector = k_vector2 + alpha_dim = alpha_dim2 - if wssd < best[4]: - best[0] = p1 - best[1] = b - best[2] = p2 - best[3] = d - best[4] = wssd - - alpha_d = (best[0] * alpha[dim - 1] + best[1]) / (best[2] * alpha[dim - 1] + best[3]) - alpha[dim] = np.mod(alpha_d, 1) - t = np.mod(alpha[dim] * np.arange(1, N), 1) - kPrev = kPrev * (1 + (t * (t - 1) + 1/6) / ((dim+1) ** 2)) - coeff[dim - 1, :] = [best[0], best[1], best[2], best[3]] - #print(coeff[dim - 1, :], best[4]) #debugging line to check the coefficients and wssd at each dimension - + if wssd < best_wssd: # if this candidate has a better wssd than the best found so far, we update the best coefficients and wssd + coeff[dim-1, 0] = p1 + coeff[dim-1, 1] = b + coeff[dim-1, 2] = p2 + coeff[dim-1, 3] = d + best_wssd = wssd + best_alpha = alpha_dim % 1 + best_k = k_vector + alpha[dim] = best_alpha # update the alpha vector with the best candidate found for this dimension + + kPrev = best_k # update the k vector for the next dimension with the k vector of the best candidate found for this dimension + + # print(coeff[dim - 1, :], (nK0[dim] - num + 2 * best_wssd)) # debugging line to check the coefficients and wssd at each dimension + if return_coeffs: + return alpha, coeff return alpha # quick and dirty test -# print(kronecker_search_march_2026(10000, 20, 50)) \ No newline at end of file +# print(kronecker_search_march_2026(2**15, 3, 50)) + From 1e969b5a2d412a033bacc87d2c6cf7fa38353ffb Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Tue, 26 May 2026 13:58:32 -0500 Subject: [PATCH 03/36] Kron search method returns wssd and discrepancies --- .../kronecker/kronecker_search_methods.py | 87 ++++++++++++------- 1 file changed, 54 insertions(+), 33 deletions(-) diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index 45bd39d35..e4ed6ad2e 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -1,30 +1,33 @@ import numpy as np from sympy import gcdex, primerange, prime +import time np.set_printoptions(precision=17) #https://github.com/sympy/sympy/releases + # I can't find where Jimmy's code for the kronecker search from SURE 2025 is, so I've temporarily put my method here -def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, alpha_0=None, return_coeffs=False): +def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, gen_vec_init=None): """ Args: N (int): The maximum sample size to be searched over. dMax (int): The maximum dimension for which to find the generating vector. searchsize (int): The number of primes to search over for each component of the generating vector. coord_weights (array-like, optional): An array of coordinate weights to use in the search. If None, weights are set to j^(-2). - alpha_0 (float, optional): The value for the first component of the generating vector. If None, the golden ratio is used. Note that alpha_0 is taken mod 1. - return_coeffs (bool, optional): Whether to return the coefficients of the linear transformation. Default is False. + gen_vec_init (array-like, optional): The initial value for the generating vector. If None, the golden ratio is used for the first component. Note that gen_vec_init is taken mod 1. Returns: - alpha, coeff (tuple): - - alpha (numpy array): The generating vector found by the search. - - coeff (numpy array, optional): The coefficients of the linear transformation used in the search, returned only if return_coeffs is True. A description of the coeff array is found below. - Complexity: - The time complexity of the search is O(searchsize^2 * dMax * N). + generating_vector, wssd, discrepancies, coeff (tuple): + - generating_vector (numpy array): The generating vector found by the search. + - wssd (float): The weighted sum of squared discrepancies for n = 1,...,N, for the generating vector found. + - discrepancies (numpy array): The discrepancies for n = 1,...,N. + - coeff (numpy array): The coefficients of the linear transformation used in the search. A description of the coeff array is found below. + Time cost: + The time cost of the search is O(searchsize^2 * dMax * N). Approach: Uses the quadratic Bernoulli polynomial kernel to conduct a CBC search for a generating vector, minimizing the weighted sum of squared discrepancies (wssd) with weights w_n = n. Details on coeff array: - The coeff array, if returned, is a (dMax-1) x 4 array where each row corresponds to a dimension from 2 to dMax. The columns correspond to the coefficients of the linear transformation used to compute the alpha component for that dimension. Specifically, - - alpha[dim+1] = (coeff[dim, 0] * alpha[dim] + coeff[dim, 1]) / (coeff[dim, 2] * alpha[dim] + coeff[dim, 3]) + The coeff array is a (dMax-1) x 4 array where each row corresponds to a dimension from 2 to dMax. The columns correspond to the coefficients of the linear transformation used to compute the gen_vec component for that dimension. Specifically, + - gen_vec[dim+1] = (coeff[dim, 0] * gen_vec[dim] + coeff[dim, 1]) / (coeff[dim, 2] * gen_vec[dim] + coeff[dim, 3]) """ if searchsize < 2: @@ -47,14 +50,14 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, alpha_0 # search over the first n primes, n = searchsize searchspace = np.array(list(primerange(1, prime(searchsize)+1)), dtype=np.float64) - # alpha is our generating vector, will be found cbc - alpha = np.zeros(dMax, dtype=np.float64) + # gen_vec is our generating vector, will be found cbc + gen_vec = np.zeros(dMax, dtype=np.float64) - # we pick the golden ratio as the first component of alpha, or let the user specify - if alpha_0 is None: - alpha[0] = np.float64((np.sqrt(5) - 1) / 2) + # we pick the golden ratio as the first component of gen_vec, or let the user specify + if gen_vec_init is None: + gen_vec[0] = np.float64((np.sqrt(5) - 1) / 2) else: - alpha[0] = np.mod(alpha_0, 1,dtype=np.float64) + gen_vec[0] = np.mod(gen_vec_init, 1,dtype=np.float64) # precompute several constants for the wssd calculation diff = np.cumsum(1.0 / np.arange(N, 1, -1,dtype=np.float64)) @@ -80,15 +83,15 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, alpha_0 # setting up some useful variables for the search coeff = np.zeros((dMax - 1, 4)) # stores the coefficients of the linear transformation at each dimension - t = alpha[0] * np.arange(1, N) % 1 # t vector is the vector of coordinates generated for the first dimension + t = gen_vec[0] * np.arange(1, N) % 1 # t vector is the vector of coordinates generated for the first dimension kPrev = 1 + coord_weights[0] * bernoulli2(t) # gets the k vector for the first dimension, which is used in the wssd calculation and updated each dimension of the search. - # The k vector is Ktilde(x_i) for i = 1,...,N-1, where Ktilde is the kernel and x_i are the points generated by the alpha vector, up to the current dimension. + # The k vector is Ktilde(x_i) for i = 1,...,N-1, where Ktilde is the kernel and x_i are the points generated by the gen_vec vector, up to the current dimension. # the main search loop for dim in range(1, dMax): best_wssd = np.inf # stores the current wssd found for each dimension, initialized to infinity - best_alpha = 0 # stores the current best alpha component found for this dimension, initialized to 0 - best_k = None # stores the k vector for the current best alpha, used to update the k vector for the next dimension after the search is done for this dimension + best_gen_vec = 0 # stores the current best gen_vec component found for this dimension, initialized to 0 + best_k = None # stores the k vector for the current best gen_vec, used to update the k vector for the next dimension after the search is done for this dimension for i in range(searchsize): p1 = searchspace[i] for j in range(searchsize): @@ -111,10 +114,10 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, alpha_0 d2 = np.abs(d + p2) b2 = np.abs(b - p1) - alpha_dim1 = (p1 * alpha[dim - 1] + b1) / (p2 * alpha[dim - 1] + d1) # the linear transformation to get the next alpha_dim candidate to test - alpha_dim2 = (p1 * alpha[dim - 1] + b2) / (p2 * alpha[dim - 1] + d2) # the other candidate from the linear transformation - t1 = (alpha_dim1 * np.arange(1, N)) - np.floor(alpha_dim1 * np.arange(1, N)) # vector of coordinates generated by this candidate component - t2 = (alpha_dim2 * np.arange(1, N)) - np.floor(alpha_dim2 * np.arange(1, N)) + gen_vec_dim1 = (p1 * gen_vec[dim - 1] + b1) / (p2 * gen_vec[dim - 1] + d1) # the linear transformation to get the next gen_vec_dim candidate to test + gen_vec_dim2 = (p1 * gen_vec[dim - 1] + b2) / (p2 * gen_vec[dim - 1] + d2) # the other candidate from the linear transformation + t1 = (gen_vec_dim1 * np.arange(1, N)) - np.floor(gen_vec_dim1 * np.arange(1, N)) # vector of coordinates generated by this candidate component + t2 = (gen_vec_dim2 * np.arange(1, N)) - np.floor(gen_vec_dim2 * np.arange(1, N)) k_vector1 = kPrev * (1 + bernoulli2(t1) * coord_weights[dim]) # get the k vector for this candidate component, used in the wssd calculation k_vector2 = kPrev * (1 + bernoulli2(t2) * coord_weights[dim]) @@ -126,13 +129,13 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, alpha_0 d = d1 wssd = wssd1 k_vector = k_vector1 - alpha_dim = alpha_dim1 + gen_vec_dim = gen_vec_dim1 else: b = b2 d = d2 wssd = wssd2 k_vector = k_vector2 - alpha_dim = alpha_dim2 + gen_vec_dim = gen_vec_dim2 if wssd < best_wssd: # if this candidate has a better wssd than the best found so far, we update the best coefficients and wssd coeff[dim-1, 0] = p1 @@ -140,17 +143,35 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, alpha_0 coeff[dim-1, 2] = p2 coeff[dim-1, 3] = d best_wssd = wssd - best_alpha = alpha_dim % 1 + best_gen_vec = gen_vec_dim % 1 best_k = k_vector - alpha[dim] = best_alpha # update the alpha vector with the best candidate found for this dimension + gen_vec[dim] = best_gen_vec # update the gen_vec vector with the best candidate found for this dimension kPrev = best_k # update the k vector for the next dimension with the k vector of the best candidate found for this dimension + best_wssd = nK0[dim] - num + 2 * best_wssd # calculate the best wssd for this dimension using the formula from the paper, which involves the nK0 constants precomputed at the beginning of the function. This is used for debugging and to check the wssd at each dimension of the search. # print(coeff[dim - 1, :], (nK0[dim] - num + 2 * best_wssd)) # debugging line to check the coefficients and wssd at each dimension - if return_coeffs: - return alpha, coeff - return alpha + + # Adapted from Jimmy's code for calculating the discrepancies for n = 1,...,N from SURE 2025 + n_array = np.arange(1, N + 1) + k_tilde = lambda x, coord_weight: np.prod(1 + bernoulli2(x) * coord_weight, axis=1) + k_tilde_terms = k_tilde(gen_vec * np.arange(N).reshape((N, 1)) - np.floor(gen_vec * np.arange(N).reshape((N, 1))), coord_weights) -# quick and dirty test -# print(kronecker_search_march_2026(2**15, 3, 50)) + left_sum = np.cumsum(k_tilde_terms[1:]) * n_array[1:] + right_sum = np.cumsum(n_array[:-1] * k_tilde_terms[1:]) + + k_tilde_zero_terms = k_tilde_terms[0] * n_array + summation = np.zeros(N) + summation[1:] = left_sum - right_sum + discrepancies = (k_tilde_zero_terms + 2 * summation) / (n_array ** 2) - 1 + return gen_vec, best_wssd, discrepancies, coeff + + +# quick and dirty test +start = time.time() +a, wssd, _, _ = kronecker_search_march_2026(2**10, 20, 50) +print(a) +print(wssd) +end = time.time() +print("Run time (seconds): ", end - start) \ No newline at end of file From 1ff125dfd79f9a2374795377b0bef1ccaada5bd4 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 8 Jun 2026 19:31:58 -0500 Subject: [PATCH 04/36] Added lattice discrepancy computation for any sample size, and lattice rule search method --- .../discrete_distribution/lattice/lattice.py | 80 +++++++++++ .../lattice/lattice_vector_wssd_search.py | 128 ++++++++++++++++++ 2 files changed, 208 insertions(+) create mode 100644 qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py diff --git a/qmcpy/discrete_distribution/lattice/lattice.py b/qmcpy/discrete_distribution/lattice/lattice.py index 248692c32..1ad05069c 100644 --- a/qmcpy/discrete_distribution/lattice/lattice.py +++ b/qmcpy/discrete_distribution/lattice/lattice.py @@ -385,3 +385,83 @@ def _spawn(self, child_seed, dimension): order=self.order, m_max=self.input_m_max, ) + + def expected_squared_periodic_discrepancies(self, n_max, coord_weights=None, kernel=None): + """Returns the expected squared periodic discrepancies for each of the first n_max points of the lattice sequence. + Args: + n_max (int): Maximum number of points to calculate the squared periodic discrepancies for. + coord_weights (Union[None, np.ndarray]): Coordinate weights for the discrepancy calculation. If None, uses weights gamma_j = j^(-2). + kernel (Union[None, Callable]): Kernel function for the discrepancy calculation. If None, uses the second bernoulli polynomial. + Returns: + discs (np.ndarray): The expected squared periodic discrepancies for the first n_max points. + """ + + if coord_weights is not None and len(coord_weights) < self.d: + raise ValueError("Length of coord_weights must be greater than or equal to the dimension of the lattice") + if coord_weights is None: + coord_weights = np.array([j**(-2) for j in range(1, self.d + 1)], dtype=np.float64) + if self.order == "LINEAR": + raise NotImplementedError("expected_squared_periodic_discrepancies not implemented for linear order") + + if kernel is None: + kernel = lambda x: x * (x - 1) + 1/6 + + k_tilde = lambda x: np.prod(1 + coord_weights * kernel(x), axis=-1) + + # generate the vdc points without any random shift + r_x = np.uint64(self.gen_vec.shape[0]) + n = np.uint64(2**(np.ceil(np.log2(n_max)))) + d = np.uint64(self.d) + n_start = np.uint64(0) + x = np.empty((r_x, n, d), dtype=np.float64) + _ = qmctoolscl.lat_gen_natural(r_x, n, d, n_start, self.gen_vec, x, backend="c") + s = x + + # evaluate the kernel on the sample points + k_vector = k_tilde(s) + k_vector = k_vector.reshape(-1) + + # get the constant vector term of the summation + k_const = -1 + k_vector[0]*np.array([j**(-1) for j in range(1, n_max + 1)], dtype=np.float64) + + # group the kernel evaluations by powers of 2 + k_sum = np.zeros(np.ceil(np.log2(n_max)).astype(int), dtype=np.float64) + for i in range(k_sum.size): + k_sum[i] = np.sum(k_vector[2**i:(2**(i+1))]) + + # get the frequency matrix for how often each kernel evaluation appears (this is always the same and can be precomputed, not done here to avoid adding >1GB txt file to git) + freq_mtx = np.zeros((k_sum.size, n_max), dtype=np.float64) + for i in range(1,n_max): + for j in range(k_sum.size): + if np.floor(i / 2**j) % 2 == 1: + freq_mtx[j, i] = freq_mtx[j, i-1] + 2 + else: + freq_mtx[j, i] = freq_mtx[j, i-1] + for i in range(n_max): + freq_mtx[:,i] = freq_mtx[:,i] * (i + 1)**(-2) + + # multiply by the precomputed frequency matrix and add the constant vector + discs = k_const + np.vecmat(k_sum, freq_mtx) + return discs + + + def wssd(self, n_max, coord_weights=None, sample_weights=None): + """Returns the weighted sum of the expected squared periodic discrepancies for the first n points of the lattice sequence. + Args: + n (int): Number of points to calculate the weighted squared periodic discrepancy for. + coord_weights (Union[None, np.ndarray]): Coordinate weights for the discrepancy calculation. If None, uses weights gamma_j = j^(-2). + sample_weights (Union[None, np.ndarray]): Sample weights for the weighted squared periodic discrepancy calculation. If None, uses weights w_n = n. Note that the time cost may be higher for other sample weights. + Returns: + wssd (float): The weighted squared periodic discrepancy. + """ + if coord_weights is not None and len(coord_weights) < self.d: + raise ValueError("Length of coord_weights must be greater than or equal to the dimension of the lattice") + if sample_weights is not None and len(sample_weights) < n_max: + raise ValueError("Length of sample_weights must be equal to n_max") + if sample_weights is None: + sample_weights = np.arange(1, n_max + 1, dtype=np.float64) + + discs = self.expected_squared_periodic_discrepancies(n_max, coord_weights=coord_weights) + wssd = np.dot(sample_weights, discs) + + return wssd \ No newline at end of file diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py new file mode 100644 index 000000000..5c7012622 --- /dev/null +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -0,0 +1,128 @@ +import numpy as np + +# I am not sure where the best place to put this is, will ask Aleksi + +def lattice_search(N, d): + m = np.ceil(np.log2(N)).astype(int) + + # ---------------------------------------------------------------------- + # Set up rhovector + # ---------------------------------------------------------------------- + bits = np.zeros((N, m), dtype=int) + for i in range(N): + # 2*bitget(i,1:m) in MATLAB + bits[i, :] = 2 * np.array([((i >> j) & 1) for j in range(m)], dtype=int) + + cumsumbits = np.cumsum(bits, axis=0) # N x m + rhovector = np.dot((1.0 / np.arange(1, N + 1)), cumsumbits) # 1 x m + + rhovectorNx1 = np.zeros((2**m - 1, 1)) + rIdx1 = 0 + for r in range(m, 0, -1): + rIdx2 = rIdx1 + 2**(r - 1) - 1 + rhovectorNx1[rIdx1:rIdx2 + 1, 0] = rhovector[r - 1] + rIdx1 = rIdx2 + 1 + + # ---------------------------------------------------------------------- + # Get ordering of the search space + # ---------------------------------------------------------------------- + gR = np.ones(2**(m - 2), dtype=int) + intMod = 2**m + for idx in range(1, 2**(m - 2)): + temp = (gR[idx - 1] * 5) % intMod + gR[idx] = min(intMod - temp, temp) + + gRows = np.ones(2**(m - 1), dtype=int) + gRows[-1] = 0 + rowVects = np.ones(2**m - 1, dtype=int) + gStrtIdx = 0 + vStrtIdx = 0 + + for l in range(m, 1, -1): + gEndIdx = gStrtIdx + 2**(l - 2) - 1 + vEndIdx = vStrtIdx + 2**(l - 1) - 1 + + gRow = np.ones(2**(l - 2), dtype=int) + intMod = 2**l + for idx in range(1, 2**(l - 2)): + temp = (gRow[idx - 1] * 5) % intMod + gRow[idx] = min(intMod - temp, temp) + + gRows[gStrtIdx:gEndIdx + 1] = gRow + rowV = np.concatenate(([1], np.flip(gRow[1:]))) + doubled = np.concatenate((rowV, rowV)) + rowVects[vStrtIdx:vEndIdx + 1] = 2**(m - l) * doubled + + gStrtIdx = gEndIdx + 1 + vStrtIdx = vEndIdx + 1 + + rowVects[-1] = 2**(m - 1) + + # ---------------------------------------------------------------------- + # Set up prodV + # ---------------------------------------------------------------------- + prodV = np.ones((2**m - 1, 1)) + prodV = prodV * rhovectorNx1 + + # Initial 1D case + rowV = rowVects / 2**m + rowV = 1 + (rowV * (rowV - 1) + 1 / 6) + prodV = prodV * rowV[:, None] + + # Set up k0 + k0 = 7 / 6 + + # ---------------------------------------------------------------------- + # Begin search + # ---------------------------------------------------------------------- + h = np.ones(d, dtype=int) + + for hComp in range(2, d + 1): + WSSD = np.zeros(2**(m - 2)) + + gamma = 1 / (hComp**2) + omega = lambda x: 1 + gamma * (x * (x - 1) + 1 / 6) + + k0 = k0 * (1 + gamma / 6) + + curIdx2 = 0 + prodIdx1 = 0 + for l in range(m, 1, -1): + nextIdx2 = curIdx2 + 2**(l - 2) - 1 + prodIdx2 = prodIdx1 + 2**(l - 2) - 1 + + curRow = gRows[curIdx2:nextIdx2 + 1] + col = curRow / 2**l + fftCol = omega(col) + + pCol = prodV[prodIdx1:prodIdx2 + 1, 0] + + wVector = 2 * np.fft.ifft(np.fft.fft(fftCol) * np.fft.fft(pCol)).real + numrep = 2**(m - l) + WSSD = WSSD + np.tile(wVector, numrep) + + curIdx2 = nextIdx2 + 1 + prodIdx1 = prodIdx2 + 2**(l - 2) + 1 + + WSSD = WSSD + omega(1 / 2) * prodV[-1, 0] + WSSD = WSSD + N * k0 - N * (N + 1) / 2 + + bestIdx = int(np.argmin(WSSD)) + bestWSSD = float(WSSD[bestIdx]) + newH = int(gR[bestIdx]) + + # Avoid duplicates + while newH in h: + WSSD[bestIdx] = np.inf + bestIdx = int(np.argmin(WSSD)) + bestWSSD = float(WSSD[bestIdx]) + newH = int(gR[bestIdx]) + + h[hComp - 1] = newH + + rowV = (newH * rowVects) % 2**m + rowV = rowV / 2**m + rowV = omega(rowV) + prodV = prodV * rowV[:, None] + + return h \ No newline at end of file From cef4e703f4a070facdefbf1429a09349f2a706df Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Tue, 9 Jun 2026 16:43:20 -0500 Subject: [PATCH 05/36] Added demo for lattice and Kronecker methods --- demos/lattice_kronecker_methods.ipynb | 240 ++ .../kronecker/kronecker_search_methods.py | 26 +- .../kuo.lattice-39102-1024-1048576.3600.txt | 3600 +++++++++++++++++ .../lattice/lattice_vector_wssd_search.py | 15 +- 4 files changed, 3864 insertions(+), 17 deletions(-) create mode 100644 demos/lattice_kronecker_methods.ipynb create mode 100644 qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.txt diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb new file mode 100644 index 000000000..85be78d1a --- /dev/null +++ b/demos/lattice_kronecker_methods.ipynb @@ -0,0 +1,240 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "492a51ed", + "metadata": {}, + "source": [ + "# Lattice and Kronecker Methods" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "2e06ea48", + "metadata": {}, + "outputs": [], + "source": [ + "from qmcpy import *\n", + "import numpy as np\n", + "from matplotlib import pyplot\n", + "from time import time\n", + "np.set_printoptions(legacy='1.25')" + ] + }, + { + "cell_type": "markdown", + "id": "39b265e4", + "metadata": {}, + "source": [ + "## Discrepancy Values" + ] + }, + { + "cell_type": "markdown", + "id": "2c1e69d8", + "metadata": {}, + "source": [ + "#### Lattice" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "958e16e1", + "metadata": {}, + "outputs": [], + "source": [ + "dim = 50\n", + "n = 2**20\n", + "lat = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12) # initialize a lattice as usual\n", + "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)]) # define some coordinate weights\n", + "\n", + "lat_discs = lat.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", + "\n", + "sample_weights = np.arange(1, n+1) # define some sample weights\n", + "lat_wssd = lat.wssd(n_max=n, coord_weights=coord_weights, sample_weights=sample_weights) # compute the wssd" + ] + }, + { + "cell_type": "markdown", + "id": "f174209f", + "metadata": {}, + "source": [ + "#### Kronecker" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "c8eec507", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\headw\\QMCSoftware\\qmcpy\\discrete_distribution\\kronecker\\kronecker.py:276: RuntimeWarning: CBC generating vector only supports dimension <= 13; falling back to Richtmyer.\n", + " warnings.warn(\n" + ] + } + ], + "source": [ + "kron = Kronecker(dimension=dim, seed=12) # initialize a Kronecker sequence as usual\n", + "kron_k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) # define the kernel function (in this case, the second Bernoulli polynomial)\n", + "\n", + "kron_discs = kron._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", + "\n", + "kron_wssd = kron.wssd_discrepancy(n = n, weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the wssd" + ] + }, + { + "cell_type": "markdown", + "id": "f1c20186", + "metadata": {}, + "source": [ + "## Searches" + ] + }, + { + "cell_type": "markdown", + "id": "01664bbb", + "metadata": {}, + "source": [ + "#### Lattice" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "524e3b99", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Time taken for lattice vector wssd search: 8.519208669662476\n", + "Searched lattice vector: [ 1 444567 406809 53917 411513 111013 57773 23363 278133 179399\n", + " 145725 480145 365723 134199 361515 297163 315729 250703 322429 236947\n", + " 508553 455183 148433 37975 46187 474063 490317 14811 417263 342641\n", + " 474417 269197 309749 29993 366775 433399 240621 375377 84847 232327\n", + " 214987 375079 32109 388283 153487 140919 390453 362317 413527 405689]\n" + ] + } + ], + "source": [ + "from qmcpy.discrete_distribution.lattice.lattice_vector_wssd_search import lattice_vector_wssd_search\n", + "\n", + "# note that the search requires that the sample weights be w_n = n, so they are not customizable\n", + "\n", + "time_start = time()\n", + "searched_lattice_vector = lattice_vector_wssd_search(N = n, d = dim, kernel = lambda x: x * (x - 1) + 1 / 6, coord_weights = coord_weights) # search for a lattice vector with low wssd\n", + "time_end = time()\n", + "print(\"Time taken for lattice vector wssd search: \", time_end - time_start)\n", + "print(\"Searched lattice vector: \", searched_lattice_vector)" + ] + }, + { + "cell_type": "markdown", + "id": "9efeb0fa", + "metadata": {}, + "source": [ + "#### Kronecker" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "09388fbc", + "metadata": {}, + "outputs": [], + "source": [ + "from qmcpy.discrete_distribution.kronecker.kronecker_search_methods import kronecker_search_march_2026\n", + "\n", + "searchsize = 25 # the time cost is O(dim * N * searchsize^2), so searchsize should be chosen with care. The largest I have run was in MATLAB with searchsize = 300, N = 2^20, d = 100, which took about 24 hours \n", + "\n", + "# note that the search requires that the sample weights be w_n = n, so they are not customizable\n", + "\n", + "time_start = time()\n", + "searched_kron_vector = kronecker_search_march_2026(N = n, dMax = dim, kernel = lambda x: x * (x - 1) + 1 / 6, searchsize = searchsize, coord_weights = coord_weights) # search for a Kronecker vector with low wssd\n", + "time_end = time()\n", + "\n", + "print(\"Time taken for Kronecker vector wssd search: \", time_end - time_start)\n", + "print(\"Searched Kronecker vector: \", searched_kron_vector)" + ] + }, + { + "cell_type": "markdown", + "id": "26a634f7", + "metadata": {}, + "source": [ + "## Plotting" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9f66d72b", + "metadata": {}, + "outputs": [ + { + "ename": "FileNotFoundError", + "evalue": "qmcpy\\discrete_distribution\\lattice\\generating_vectors\\kuo.lattice-39102-1024-1048576.3600.txt not found.", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mFileNotFoundError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[7]\u001b[39m\u001b[32m, line 1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m lat1 = Lattice(dimension=dim, order=\u001b[33m\"\u001b[39m\u001b[33mRADICAL_INVERSE\u001b[39m\u001b[33m\"\u001b[39m, seed=\u001b[32m12\u001b[39m, generating_vector=\u001b[43mnp\u001b[49m\u001b[43m.\u001b[49m\u001b[43mloadtxt\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mqmcpy\u001b[39;49m\u001b[33;43m\\\u001b[39;49m\u001b[33;43mdiscrete_distribution\u001b[39;49m\u001b[33;43m\\\u001b[39;49m\u001b[33;43mlattice\u001b[39;49m\u001b[33;43m\\\u001b[39;49m\u001b[33;43mgenerating_vectors\u001b[39;49m\u001b[33;43m\\\u001b[39;49m\u001b[33;43mkuo.lattice-39102-1024-1048576.3600.txt\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m, m_max=\u001b[32m20\u001b[39m) \u001b[38;5;66;03m# initialize a lattice with the generating vector of all 1s\u001b[39;00m\n\u001b[32m 2\u001b[39m lat_discs1 = lat1.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n\u001b[32m 5\u001b[39m lat2 = Lattice(dimension=dim, order=\u001b[33m\"\u001b[39m\u001b[33mRADICAL_INVERSE\u001b[39m\u001b[33m\"\u001b[39m, seed=\u001b[32m12\u001b[39m, generating_vector=np.uint64(searched_lattice_vector), m_max=\u001b[32m20\u001b[39m) \u001b[38;5;66;03m# initialize a lattice with the searched lattice vector\u001b[39;00m\n", + "\u001b[36mFile \u001b[39m\u001b[32mc:\\Users\\headw\\miniconda3\\envs\\qmcpy\\Lib\\site-packages\\numpy\\lib\\_npyio_impl.py:1397\u001b[39m, in \u001b[36mloadtxt\u001b[39m\u001b[34m(fname, dtype, comments, delimiter, converters, skiprows, usecols, unpack, ndmin, encoding, max_rows, quotechar, like)\u001b[39m\n\u001b[32m 1394\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(delimiter, \u001b[38;5;28mbytes\u001b[39m):\n\u001b[32m 1395\u001b[39m delimiter = delimiter.decode(\u001b[33m'\u001b[39m\u001b[33mlatin1\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m-> \u001b[39m\u001b[32m1397\u001b[39m arr = \u001b[43m_read\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdtype\u001b[49m\u001b[43m=\u001b[49m\u001b[43mdtype\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcomment\u001b[49m\u001b[43m=\u001b[49m\u001b[43mcomment\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdelimiter\u001b[49m\u001b[43m=\u001b[49m\u001b[43mdelimiter\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 1398\u001b[39m \u001b[43m \u001b[49m\u001b[43mconverters\u001b[49m\u001b[43m=\u001b[49m\u001b[43mconverters\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mskiplines\u001b[49m\u001b[43m=\u001b[49m\u001b[43mskiprows\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43musecols\u001b[49m\u001b[43m=\u001b[49m\u001b[43musecols\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 1399\u001b[39m \u001b[43m \u001b[49m\u001b[43munpack\u001b[49m\u001b[43m=\u001b[49m\u001b[43munpack\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mndmin\u001b[49m\u001b[43m=\u001b[49m\u001b[43mndmin\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m=\u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 1400\u001b[39m \u001b[43m \u001b[49m\u001b[43mmax_rows\u001b[49m\u001b[43m=\u001b[49m\u001b[43mmax_rows\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mquote\u001b[49m\u001b[43m=\u001b[49m\u001b[43mquotechar\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1402\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m arr\n", + "\u001b[36mFile \u001b[39m\u001b[32mc:\\Users\\headw\\miniconda3\\envs\\qmcpy\\Lib\\site-packages\\numpy\\lib\\_npyio_impl.py:1024\u001b[39m, in \u001b[36m_read\u001b[39m\u001b[34m(fname, delimiter, comment, quote, imaginary_unit, usecols, skiplines, max_rows, converters, ndmin, unpack, dtype, encoding)\u001b[39m\n\u001b[32m 1022\u001b[39m fname = os.fspath(fname)\n\u001b[32m 1023\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(fname, \u001b[38;5;28mstr\u001b[39m):\n\u001b[32m-> \u001b[39m\u001b[32m1024\u001b[39m fh = \u001b[43mnp\u001b[49m\u001b[43m.\u001b[49m\u001b[43mlib\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_datasource\u001b[49m\u001b[43m.\u001b[49m\u001b[43mopen\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m'\u001b[39;49m\u001b[33;43mrt\u001b[39;49m\u001b[33;43m'\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m=\u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1025\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m encoding \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m 1026\u001b[39m encoding = \u001b[38;5;28mgetattr\u001b[39m(fh, \u001b[33m'\u001b[39m\u001b[33mencoding\u001b[39m\u001b[33m'\u001b[39m, \u001b[33m'\u001b[39m\u001b[33mlatin1\u001b[39m\u001b[33m'\u001b[39m)\n", + "\u001b[36mFile \u001b[39m\u001b[32mc:\\Users\\headw\\miniconda3\\envs\\qmcpy\\Lib\\site-packages\\numpy\\lib\\_datasource.py:192\u001b[39m, in \u001b[36mopen\u001b[39m\u001b[34m(path, mode, destpath, encoding, newline)\u001b[39m\n\u001b[32m 155\u001b[39m \u001b[38;5;250m\u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 156\u001b[39m \u001b[33;03mOpen `path` with `mode` and return the file object.\u001b[39;00m\n\u001b[32m 157\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 188\u001b[39m \n\u001b[32m 189\u001b[39m \u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 191\u001b[39m ds = DataSource(destpath)\n\u001b[32m--> \u001b[39m\u001b[32m192\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mds\u001b[49m\u001b[43m.\u001b[49m\u001b[43mopen\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpath\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmode\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m=\u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnewline\u001b[49m\u001b[43m=\u001b[49m\u001b[43mnewline\u001b[49m\u001b[43m)\u001b[49m\n", + "\u001b[36mFile \u001b[39m\u001b[32mc:\\Users\\headw\\miniconda3\\envs\\qmcpy\\Lib\\site-packages\\numpy\\lib\\_datasource.py:529\u001b[39m, in \u001b[36mDataSource.open\u001b[39m\u001b[34m(self, path, mode, encoding, newline)\u001b[39m\n\u001b[32m 526\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m _file_openers[ext](found, mode=mode,\n\u001b[32m 527\u001b[39m encoding=encoding, newline=newline)\n\u001b[32m 528\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m--> \u001b[39m\u001b[32m529\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mFileNotFoundError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mpath\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m not found.\u001b[39m\u001b[33m\"\u001b[39m)\n", + "\u001b[31mFileNotFoundError\u001b[39m: qmcpy\\discrete_distribution\\lattice\\generating_vectors\\kuo.lattice-39102-1024-1048576.3600.txt not found." + ] + } + ], + "source": [ + "\n", + "# lat1 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=np.loadtxt(\"qmcpy\\discrete_distribution\\lattice\\generating_vectors\\kuo.lattice-39102-1024-1048576.3600.txt\"), m_max=20) # initialize a lattice with the generating vector of all 1s\n", + "# lat_discs1 = lat1.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", + "\n", + "\n", + "lat2 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=np.uint64(searched_lattice_vector), m_max=20) # initialize a lattice with the searched lattice vector\n", + "lat_discs2 = lat2.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", + "\n", + "\n", + "fig, ax = pyplot.subplots(nrows=1, ncols=1, figsize=(12,10))\n", + "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs), label=\"Old Lattice Discrepancy\")\n", + "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs2), label=\"Searched Lattice Discrepancy\")\n", + "# ax.plot(np.arange(1, n+1), np.sqrt(kron_discs), label=\"Kronecker Discrepancy\")\n", + "ax.set_xscale(\"log\")\n", + "ax.set_yscale(\"log\")\n", + "ax.legend()\n", + "ax.set_xlabel(\"Sample Size\")\n", + "ax.set_ylabel(\"Periodic Discrepancy\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "qmcpy", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index e4ed6ad2e..bd6108b95 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -7,11 +7,12 @@ # I can't find where Jimmy's code for the kronecker search from SURE 2025 is, so I've temporarily put my method here -def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, gen_vec_init=None): +def kronecker_search_march_2026(N, dMax, searchsize, kernel=None, coord_weights=None, gen_vec_init=None): """ Args: N (int): The maximum sample size to be searched over. dMax (int): The maximum dimension for which to find the generating vector. + kernel (function): The kernel function to use in the search. searchsize (int): The number of primes to search over for each component of the generating vector. coord_weights (array-like, optional): An array of coordinate weights to use in the search. If None, weights are set to j^(-2). gen_vec_init (array-like, optional): The initial value for the generating vector. If None, the golden ratio is used for the first component. Note that gen_vec_init is taken mod 1. @@ -41,7 +42,8 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, gen_vec # the quadratic Bernoulli polynomial - bernoulli2 = lambda t: t * (t - 1) + 1/6 + if kernel is None: + kernel = lambda t: t * (t - 1) + 1/6 # define coordinate weights if not provided, default to j^(-2) if coord_weights is None: @@ -84,7 +86,7 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, gen_vec # setting up some useful variables for the search coeff = np.zeros((dMax - 1, 4)) # stores the coefficients of the linear transformation at each dimension t = gen_vec[0] * np.arange(1, N) % 1 # t vector is the vector of coordinates generated for the first dimension - kPrev = 1 + coord_weights[0] * bernoulli2(t) # gets the k vector for the first dimension, which is used in the wssd calculation and updated each dimension of the search. + kPrev = 1 + coord_weights[0] * kernel(t) # gets the k vector for the first dimension, which is used in the wssd calculation and updated each dimension of the search. # The k vector is Ktilde(x_i) for i = 1,...,N-1, where Ktilde is the kernel and x_i are the points generated by the gen_vec vector, up to the current dimension. # the main search loop @@ -118,8 +120,8 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, gen_vec gen_vec_dim2 = (p1 * gen_vec[dim - 1] + b2) / (p2 * gen_vec[dim - 1] + d2) # the other candidate from the linear transformation t1 = (gen_vec_dim1 * np.arange(1, N)) - np.floor(gen_vec_dim1 * np.arange(1, N)) # vector of coordinates generated by this candidate component t2 = (gen_vec_dim2 * np.arange(1, N)) - np.floor(gen_vec_dim2 * np.arange(1, N)) - k_vector1 = kPrev * (1 + bernoulli2(t1) * coord_weights[dim]) # get the k vector for this candidate component, used in the wssd calculation - k_vector2 = kPrev * (1 + bernoulli2(t2) * coord_weights[dim]) + k_vector1 = kPrev * (1 + kernel(t1) * coord_weights[dim]) # get the k vector for this candidate component, used in the wssd calculation + k_vector2 = kPrev * (1 + kernel(t2) * coord_weights[dim]) wssd1 = np.dot(freq, k_vector1) wssd2 = np.dot(freq, k_vector2) @@ -154,7 +156,7 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, gen_vec # Adapted from Jimmy's code for calculating the discrepancies for n = 1,...,N from SURE 2025 n_array = np.arange(1, N + 1) - k_tilde = lambda x, coord_weight: np.prod(1 + bernoulli2(x) * coord_weight, axis=1) + k_tilde = lambda x, coord_weight: np.prod(1 + kernel(x) * coord_weight, axis=1) k_tilde_terms = k_tilde(gen_vec * np.arange(N).reshape((N, 1)) - np.floor(gen_vec * np.arange(N).reshape((N, 1))), coord_weights) left_sum = np.cumsum(k_tilde_terms[1:]) * n_array[1:] @@ -169,9 +171,9 @@ def kronecker_search_march_2026(N, dMax, searchsize, coord_weights=None, gen_vec # quick and dirty test -start = time.time() -a, wssd, _, _ = kronecker_search_march_2026(2**10, 20, 50) -print(a) -print(wssd) -end = time.time() -print("Run time (seconds): ", end - start) \ No newline at end of file +# start = time.time() +# a, wssd, _, _ = kronecker_search_march_2026(2**10, 20, 50) +# print(a) +# print(wssd) +# end = time.time() +# print("Run time (seconds): ", end - start) \ No newline at end of file diff --git a/qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.txt b/qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.txt new file mode 100644 index 000000000..e147de362 --- /dev/null +++ b/qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.txt @@ -0,0 +1,3600 @@ + 1 1 + 2 433461 + 3 472323 + 4 440637 + 5 231645 + 6 275007 + 7 113895 + 8 331051 + 9 283181 + 10 384579 + 11 288619 + 12 306439 + 13 309943 + 14 452525 + 15 319841 + 16 217509 + 17 84615 + 18 111067 + 19 374949 + 20 315005 + 21 369473 + 22 95709 + 23 155273 + 24 215539 + 25 486377 + 26 107399 + 27 203705 + 28 168683 + 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3575 505659 + 3576 54233 + 3577 152663 + 3578 481155 + 3579 354391 + 3580 400891 + 3581 227395 + 3582 219535 + 3583 226123 + 3584 121423 + 3585 244551 + 3586 132045 + 3587 446551 + 3588 313999 + 3589 385783 + 3590 495507 + 3591 305613 + 3592 46891 + 3593 339689 + 3594 312893 + 3595 514481 + 3596 273563 + 3597 408791 + 3598 348479 + 3599 381971 + 3600 415201 diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 5c7012622..c1b02c2ad 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -2,7 +2,12 @@ # I am not sure where the best place to put this is, will ask Aleksi -def lattice_search(N, d): +def lattice_vector_wssd_search(N, d, kernel,coord_weights): + if kernel == None: + kernel = lambda x: x * (x - 1) + 1 / 6 # default kernel is the second Bernoulli polynomial + if coord_weights is None: + coord_weights = np.array([j**(-2) for j in range(1, d + 1)], dtype=np.float64) # default coordinate weights are j^(-2) + m = np.ceil(np.log2(N)).astype(int) # ---------------------------------------------------------------------- @@ -66,11 +71,11 @@ def lattice_search(N, d): # Initial 1D case rowV = rowVects / 2**m - rowV = 1 + (rowV * (rowV - 1) + 1 / 6) + rowV = 1 + kernel(rowV) prodV = prodV * rowV[:, None] # Set up k0 - k0 = 7 / 6 + k0 = 1 + coord_weights[0] * kernel(0) # ---------------------------------------------------------------------- # Begin search @@ -80,10 +85,10 @@ def lattice_search(N, d): for hComp in range(2, d + 1): WSSD = np.zeros(2**(m - 2)) - gamma = 1 / (hComp**2) + gamma = coord_weights[hComp - 1] omega = lambda x: 1 + gamma * (x * (x - 1) + 1 / 6) - k0 = k0 * (1 + gamma / 6) + k0 = k0 * (1 + gamma * kernel(0)) curIdx2 = 0 prodIdx1 = 0 From c33611e28564c8444f151fff31179c2059040f6e Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Tue, 9 Jun 2026 16:54:31 -0500 Subject: [PATCH 06/36] Updated demo to correct coord. weight Kuo vector --- .../kuo.lattice-39102-1024-1048576.3600.txt | 0 demos/lattice_kronecker_methods.ipynb | 41 +++++++++++-------- 2 files changed, 23 insertions(+), 18 deletions(-) rename {qmcpy/discrete_distribution/lattice/generating_vectors => demos}/kuo.lattice-39102-1024-1048576.3600.txt (100%) diff --git a/qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.txt b/demos/kuo.lattice-39102-1024-1048576.3600.txt similarity index 100% rename from qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.txt rename to demos/kuo.lattice-39102-1024-1048576.3600.txt diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index 85be78d1a..5bfde07ea 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -179,25 +179,30 @@ "metadata": {}, "outputs": [ { - "ename": "FileNotFoundError", - "evalue": "qmcpy\\discrete_distribution\\lattice\\generating_vectors\\kuo.lattice-39102-1024-1048576.3600.txt not found.", - "output_type": "error", - "traceback": [ - "\u001b[31m---------------------------------------------------------------------------\u001b[39m", - "\u001b[31mFileNotFoundError\u001b[39m Traceback (most recent call last)", - "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[7]\u001b[39m\u001b[32m, line 1\u001b[39m\n\u001b[32m----> \u001b[39m\u001b[32m1\u001b[39m lat1 = Lattice(dimension=dim, order=\u001b[33m\"\u001b[39m\u001b[33mRADICAL_INVERSE\u001b[39m\u001b[33m\"\u001b[39m, seed=\u001b[32m12\u001b[39m, generating_vector=\u001b[43mnp\u001b[49m\u001b[43m.\u001b[49m\u001b[43mloadtxt\u001b[49m\u001b[43m(\u001b[49m\u001b[33;43m\"\u001b[39;49m\u001b[33;43mqmcpy\u001b[39;49m\u001b[33;43m\\\u001b[39;49m\u001b[33;43mdiscrete_distribution\u001b[39;49m\u001b[33;43m\\\u001b[39;49m\u001b[33;43mlattice\u001b[39;49m\u001b[33;43m\\\u001b[39;49m\u001b[33;43mgenerating_vectors\u001b[39;49m\u001b[33;43m\\\u001b[39;49m\u001b[33;43mkuo.lattice-39102-1024-1048576.3600.txt\u001b[39;49m\u001b[33;43m\"\u001b[39;49m\u001b[43m)\u001b[49m, m_max=\u001b[32m20\u001b[39m) \u001b[38;5;66;03m# initialize a lattice with the generating vector of all 1s\u001b[39;00m\n\u001b[32m 2\u001b[39m lat_discs1 = lat1.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n\u001b[32m 5\u001b[39m lat2 = Lattice(dimension=dim, order=\u001b[33m\"\u001b[39m\u001b[33mRADICAL_INVERSE\u001b[39m\u001b[33m\"\u001b[39m, seed=\u001b[32m12\u001b[39m, generating_vector=np.uint64(searched_lattice_vector), m_max=\u001b[32m20\u001b[39m) \u001b[38;5;66;03m# initialize a lattice with the searched lattice vector\u001b[39;00m\n", - "\u001b[36mFile \u001b[39m\u001b[32mc:\\Users\\headw\\miniconda3\\envs\\qmcpy\\Lib\\site-packages\\numpy\\lib\\_npyio_impl.py:1397\u001b[39m, in \u001b[36mloadtxt\u001b[39m\u001b[34m(fname, dtype, comments, delimiter, converters, skiprows, usecols, unpack, ndmin, encoding, max_rows, quotechar, like)\u001b[39m\n\u001b[32m 1394\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(delimiter, \u001b[38;5;28mbytes\u001b[39m):\n\u001b[32m 1395\u001b[39m delimiter = delimiter.decode(\u001b[33m'\u001b[39m\u001b[33mlatin1\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m-> \u001b[39m\u001b[32m1397\u001b[39m arr = \u001b[43m_read\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdtype\u001b[49m\u001b[43m=\u001b[49m\u001b[43mdtype\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcomment\u001b[49m\u001b[43m=\u001b[49m\u001b[43mcomment\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdelimiter\u001b[49m\u001b[43m=\u001b[49m\u001b[43mdelimiter\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 1398\u001b[39m \u001b[43m \u001b[49m\u001b[43mconverters\u001b[49m\u001b[43m=\u001b[49m\u001b[43mconverters\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mskiplines\u001b[49m\u001b[43m=\u001b[49m\u001b[43mskiprows\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43musecols\u001b[49m\u001b[43m=\u001b[49m\u001b[43musecols\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 1399\u001b[39m \u001b[43m \u001b[49m\u001b[43munpack\u001b[49m\u001b[43m=\u001b[49m\u001b[43munpack\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mndmin\u001b[49m\u001b[43m=\u001b[49m\u001b[43mndmin\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m=\u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m 1400\u001b[39m \u001b[43m \u001b[49m\u001b[43mmax_rows\u001b[49m\u001b[43m=\u001b[49m\u001b[43mmax_rows\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mquote\u001b[49m\u001b[43m=\u001b[49m\u001b[43mquotechar\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1402\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m arr\n", - "\u001b[36mFile \u001b[39m\u001b[32mc:\\Users\\headw\\miniconda3\\envs\\qmcpy\\Lib\\site-packages\\numpy\\lib\\_npyio_impl.py:1024\u001b[39m, in \u001b[36m_read\u001b[39m\u001b[34m(fname, delimiter, comment, quote, imaginary_unit, usecols, skiplines, max_rows, converters, ndmin, unpack, dtype, encoding)\u001b[39m\n\u001b[32m 1022\u001b[39m fname = os.fspath(fname)\n\u001b[32m 1023\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(fname, \u001b[38;5;28mstr\u001b[39m):\n\u001b[32m-> \u001b[39m\u001b[32m1024\u001b[39m fh = \u001b[43mnp\u001b[49m\u001b[43m.\u001b[49m\u001b[43mlib\u001b[49m\u001b[43m.\u001b[49m\u001b[43m_datasource\u001b[49m\u001b[43m.\u001b[49m\u001b[43mopen\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[33;43m'\u001b[39;49m\u001b[33;43mrt\u001b[39;49m\u001b[33;43m'\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m=\u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m 1025\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m encoding \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m 1026\u001b[39m encoding = \u001b[38;5;28mgetattr\u001b[39m(fh, \u001b[33m'\u001b[39m\u001b[33mencoding\u001b[39m\u001b[33m'\u001b[39m, \u001b[33m'\u001b[39m\u001b[33mlatin1\u001b[39m\u001b[33m'\u001b[39m)\n", - "\u001b[36mFile \u001b[39m\u001b[32mc:\\Users\\headw\\miniconda3\\envs\\qmcpy\\Lib\\site-packages\\numpy\\lib\\_datasource.py:192\u001b[39m, in \u001b[36mopen\u001b[39m\u001b[34m(path, mode, destpath, encoding, newline)\u001b[39m\n\u001b[32m 155\u001b[39m \u001b[38;5;250m\u001b[39m\u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 156\u001b[39m \u001b[33;03mOpen `path` with `mode` and return the file object.\u001b[39;00m\n\u001b[32m 157\u001b[39m \n\u001b[32m (...)\u001b[39m\u001b[32m 188\u001b[39m \n\u001b[32m 189\u001b[39m \u001b[33;03m\"\"\"\u001b[39;00m\n\u001b[32m 191\u001b[39m ds = DataSource(destpath)\n\u001b[32m--> \u001b[39m\u001b[32m192\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mds\u001b[49m\u001b[43m.\u001b[49m\u001b[43mopen\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpath\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmode\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m=\u001b[49m\u001b[43mencoding\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnewline\u001b[49m\u001b[43m=\u001b[49m\u001b[43mnewline\u001b[49m\u001b[43m)\u001b[49m\n", - "\u001b[36mFile \u001b[39m\u001b[32mc:\\Users\\headw\\miniconda3\\envs\\qmcpy\\Lib\\site-packages\\numpy\\lib\\_datasource.py:529\u001b[39m, in \u001b[36mDataSource.open\u001b[39m\u001b[34m(self, path, mode, encoding, newline)\u001b[39m\n\u001b[32m 526\u001b[39m \u001b[38;5;28;01mreturn\u001b[39;00m _file_openers[ext](found, mode=mode,\n\u001b[32m 527\u001b[39m encoding=encoding, newline=newline)\n\u001b[32m 528\u001b[39m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[32m--> \u001b[39m\u001b[32m529\u001b[39m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mFileNotFoundError\u001b[39;00m(\u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mpath\u001b[38;5;132;01m}\u001b[39;00m\u001b[33m not found.\u001b[39m\u001b[33m\"\u001b[39m)\n", - "\u001b[31mFileNotFoundError\u001b[39m: qmcpy\\discrete_distribution\\lattice\\generating_vectors\\kuo.lattice-39102-1024-1048576.3600.txt not found." - ] + "data": { + "text/plain": [ + "Text(0, 0.5, 'Periodic Discrepancy')" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "\n", - "# lat1 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=np.loadtxt(\"qmcpy\\discrete_distribution\\lattice\\generating_vectors\\kuo.lattice-39102-1024-1048576.3600.txt\"), m_max=20) # initialize a lattice with the generating vector of all 1s\n", - "# lat_discs1 = lat1.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", + "gen_vec = np.loadtxt(\"kuo.lattice-39102-1024-1048576.3600.txt\",dtype=np.uint64) \n", + "lat1 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=gen_vec[:,1], m_max=20) # initialize a lattice with the generating vector of all 1s\n", + "lat_discs1 = lat1.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", "\n", "\n", "lat2 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=np.uint64(searched_lattice_vector), m_max=20) # initialize a lattice with the searched lattice vector\n", @@ -205,8 +210,8 @@ "\n", "\n", "fig, ax = pyplot.subplots(nrows=1, ncols=1, figsize=(12,10))\n", - "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs), label=\"Old Lattice Discrepancy\")\n", - "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs2), label=\"Searched Lattice Discrepancy\")\n", + "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs1), label=\"Kuo Lattice Discrepancy\")\n", + "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs2), label=\"New Lattice Discrepancy\")\n", "# ax.plot(np.arange(1, n+1), np.sqrt(kron_discs), label=\"Kronecker Discrepancy\")\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", From 88648606c48494c1bd6b4c72953ab92a69d67023 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Tue, 9 Jun 2026 17:11:24 -0500 Subject: [PATCH 07/36] Added new generating vector option for Kronecker --- .../kron_vector_d-100_N-2exp20_2026_06_01.txt | 100 ++++++++++++++++ .../kronecker/kronecker.py | 113 +++++++++++++++++- 2 files changed, 212 insertions(+), 1 deletion(-) create mode 100644 qmcpy/discrete_distribution/kronecker/generating_vectors/kron_vector_d-100_N-2exp20_2026_06_01.txt diff --git a/qmcpy/discrete_distribution/kronecker/generating_vectors/kron_vector_d-100_N-2exp20_2026_06_01.txt b/qmcpy/discrete_distribution/kronecker/generating_vectors/kron_vector_d-100_N-2exp20_2026_06_01.txt new file mode 100644 index 000000000..098e8d858 --- /dev/null +++ b/qmcpy/discrete_distribution/kronecker/generating_vectors/kron_vector_d-100_N-2exp20_2026_06_01.txt @@ -0,0 +1,100 @@ +0.618033988749895 +0.3173225474723 +0.59332263014446 +0.20776441643926 +0.27373719258623 +0.649734278361753 +0.478954018631769 +0.86866022435182 +0.22845082022244 +0.581365429377986 +0.282365231829842 +0.0822850909119904 +0.223849641007295 +0.5770772201756 +0.51769659336634 +0.568025390904592 +0.156782234569368 +0.82246227056154 +0.805675312097409 +0.63877102813393 +0.358300563495856 +0.241741343018598 +0.705003192174204 +0.1931911954956 +0.261022001488623 +0.897938992038015 +0.46839743115877 +0.884022067965329 +0.752352896871505 +0.1601583600427 +0.10727599509739 +0.151478435512877 +0.163863657127101 +0.948303450359399 +0.80350943597439 +0.426371623468333 +0.435930910910882 +0.21329852459791 +0.661698149534002 +0.900679822160453 +0.122436710671457 +0.483663584095611 +0.928181067731583 +0.443143014606576 +0.74491332336194 +0.87948409225588 +0.0428242449803 +0.534576896789579 +0.24340042100879 +0.30424418245585 +0.574003104342617 +0.897289023268963 +0.541424476559586 +0.356895660350464 +0.507567280910795 +0.513983550428507 +0.0610821922457415 +0.183871471606587 +0.446015178033969 +0.455684287415085 +0.280817534817491 +0.115220095666085 +0.433740673279323 +0.515605957977756 +0.113076735656464 +0.733928297688305 +0.0597515651584137 +0.422268695684775 +0.0979181139173599 +0.213699261322352 +0.866811679881922 +0.0878569329036737 +0.678412735893121 +0.181093969536107 +0.128913741473518 +0.109341703717108 +0.289067270578427 +0.352218331663839 +0.303605902333137 +0.0613899204730832 +0.959535877660851 +0.475508309069064 +0.688698902674194 +0.657037932118495 +0.645555897563869 +0.720658665263604 +0.914423387894897 +0.425763295044487 +0.328825255006553 +0.892452975558004 +0.16973367306396 +0.912292406867098 +0.0923260018966512 +0.216301713289429 +0.147861410064151 +0.8600781655845 +0.752129792595509 +0.337431120990153 +0.542476014178907 +0.307279789725491 diff --git a/qmcpy/discrete_distribution/kronecker/kronecker.py b/qmcpy/discrete_distribution/kronecker/kronecker.py index 3310daeba..b78c75b04 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker.py @@ -284,7 +284,118 @@ def __init__(self, gen_vec = _richtmyer_generating_vector(self.dvec.max()+1) elif isinstance(generating_vector, str) and generating_vector.lower() == "suzuki": self.gen_vec_source = "SUZUKI" - gen_vec = _suzuki_generating_vector(self.dvec.max()+1) + gen_vec = _suzuki_generating_vector(self.dvec.max()+1) + elif isinstance(generating_vector, str) and generating_vector.lower() == "anders_cbc": + self.gen_vec_source = "ANDERS_CBC" + ANDERS_CBC = np.array([0.618033988749895, + 0.3173225474723, + 0.59332263014446, + 0.20776441643926, + 0.27373719258623, + 0.649734278361753, + 0.478954018631769, + 0.86866022435182, + 0.22845082022244, + 0.581365429377986, + 0.282365231829842, + 0.0822850909119904, + 0.223849641007295, + 0.5770772201756, + 0.51769659336634, + 0.568025390904592, + 0.156782234569368, + 0.82246227056154, + 0.805675312097409, + 0.63877102813393, + 0.358300563495856, + 0.241741343018598, + 0.705003192174204, + 0.1931911954956, + 0.261022001488623, + 0.897938992038015, + 0.46839743115877, + 0.884022067965329, + 0.752352896871505, + 0.1601583600427, + 0.10727599509739, + 0.151478435512877, + 0.163863657127101, + 0.948303450359399, + 0.80350943597439, + 0.426371623468333, + 0.435930910910882, + 0.21329852459791, + 0.661698149534002, + 0.900679822160453, + 0.122436710671457, + 0.483663584095611, + 0.928181067731583, + 0.443143014606576, + 0.74491332336194, + 0.87948409225588, + 0.0428242449803, + 0.534576896789579, + 0.24340042100879, + 0.30424418245585, + 0.574003104342617, + 0.897289023268963, + 0.541424476559586, + 0.356895660350464, + 0.507567280910795, + 0.513983550428507, + 0.0610821922457415, + 0.183871471606587, + 0.446015178033969, + 0.455684287415085, + 0.280817534817491, + 0.115220095666085, + 0.433740673279323, + 0.515605957977756, + 0.113076735656464, + 0.733928297688305, + 0.0597515651584137, + 0.422268695684775, + 0.0979181139173599, + 0.213699261322352, + 0.866811679881922, + 0.0878569329036737, + 0.678412735893121, + 0.181093969536107, + 0.128913741473518, + 0.109341703717108, + 0.289067270578427, + 0.352218331663839, + 0.303605902333137, + 0.0613899204730832, + 0.959535877660851, + 0.475508309069064, + 0.688698902674194, + 0.657037932118495, + 0.645555897563869, + 0.720658665263604, + 0.914423387894897, + 0.425763295044487, + 0.328825255006553, + 0.892452975558004, + 0.16973367306396, + 0.912292406867098, + 0.0923260018966512, + 0.216301713289429, + 0.147861410064151, + 0.8600781655845, + 0.752129792595509, + 0.337431120990153, + 0.542476014178907, + 0.307279789725491], dtype=np.float64) + gen_vec = ANDERS_CBC + if not (self.dvec.max() < len(gen_vec)): + if warn: + warnings.warn( + f"CBC generating vector only supports dimension <= {len(CBC)}; falling back to Richtmyer.", + RuntimeWarning, + ) + self.gen_vec_source = "RICHTMYER" + gen_vec = _richtmyer_generating_vector(self.dvec.max()+1) else: self.gen_vec_source = "CUSTOM" gen_vec = np.asarray(generating_vector, dtype=float) From bc3d3b674494d1a87416804562f40104da54ca2e Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Wed, 10 Jun 2026 09:29:49 -0500 Subject: [PATCH 08/36] Corrected Kronecker discrepancy calculations --- demos/lattice_kronecker_methods.ipynb | 23 ++++++++++++++----- .../kronecker/kronecker.py | 5 +++- .../discrete_distribution/lattice/lattice.py | 2 +- 3 files changed, 22 insertions(+), 8 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index 5bfde07ea..52a450e0d 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -66,26 +66,26 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 8, "id": "c8eec507", "metadata": {}, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "C:\\Users\\headw\\QMCSoftware\\qmcpy\\discrete_distribution\\kronecker\\kronecker.py:276: RuntimeWarning: CBC generating vector only supports dimension <= 13; falling back to Richtmyer.\n", - " warnings.warn(\n" + "191.36069122430635\n" ] } ], "source": [ - "kron = Kronecker(dimension=dim, seed=12) # initialize a Kronecker sequence as usual\n", + "kron = Kronecker(dimension=dim, seed=12, generating_vector=\"ANDERS_CBC\") # initialize a Kronecker sequence as usual\n", "kron_k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) # define the kernel function (in this case, the second Bernoulli polynomial)\n", "\n", "kron_discs = kron._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", "\n", - "kron_wssd = kron.wssd_discrepancy(n = n, weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the wssd" + "kron_wssd = kron.wssd_discrepancy(n = n, weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the wssd\n", + "print(kron_wssd[-1])" ] }, { @@ -197,6 +197,17 @@ }, "metadata": {}, "output_type": "display_data" + }, + { + "ename": "", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[1;31mThe Kernel crashed while executing code in the current cell or a previous cell. \n", + "\u001b[1;31mPlease review the code in the cell(s) to identify a possible cause of the failure. \n", + "\u001b[1;31mClick here for more info. \n", + "\u001b[1;31mView Jupyter log for further details." + ] } ], "source": [ diff --git a/qmcpy/discrete_distribution/kronecker/kronecker.py b/qmcpy/discrete_distribution/kronecker/kronecker.py index b78c75b04..23a40bf31 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker.py @@ -474,7 +474,10 @@ def wssd_discrepancy(self, n, weights, k_tilde = None, gamma = None): def _square_periodic_discrepancies(self, n, k_tilde, gamma): n_array = np.arange(1, n + 1) - k_tilde_terms = k_tilde[0](self.gen_samples(n=n), gamma) + # we need the points without a random shift for the calculation, so we can't use self._gen_samples + i = np.arange(0, n) + points = (i[:,None] * self.gen_vec[:,None,:]) % 1 + k_tilde_terms = k_tilde[0](points, gamma) left_sum = np.cumsum(k_tilde_terms[...,1:], axis=-1) * n_array[1:] right_sum = np.cumsum(n_array[:-1] * k_tilde_terms[...,1:], axis=-1) diff --git a/qmcpy/discrete_distribution/lattice/lattice.py b/qmcpy/discrete_distribution/lattice/lattice.py index 1ad05069c..3018a06bf 100644 --- a/qmcpy/discrete_distribution/lattice/lattice.py +++ b/qmcpy/discrete_distribution/lattice/lattice.py @@ -440,7 +440,7 @@ def expected_squared_periodic_discrepancies(self, n_max, coord_weights=None, ker for i in range(n_max): freq_mtx[:,i] = freq_mtx[:,i] * (i + 1)**(-2) - # multiply by the precomputed frequency matrix and add the constant vector + # multiply by the frequency matrix and add the constant vector discs = k_const + np.vecmat(k_sum, freq_mtx) return discs From 82d8df4cb219985a7dfee54c61b5f69358512d70 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Thu, 9 Jul 2026 09:17:55 -0500 Subject: [PATCH 09/36] Final version before pull request --- demos/lattice_kronecker_methods.ipynb | 52 ++++++++++++++------------- 1 file changed, 27 insertions(+), 25 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index 52a450e0d..384db68ee 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -40,12 +40,12 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 17, "id": "958e16e1", "metadata": {}, "outputs": [], "source": [ - "dim = 50\n", + "dim = 64\n", "n = 2**20\n", "lat = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12) # initialize a lattice as usual\n", "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)]) # define some coordinate weights\n", @@ -66,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 21, "id": "c8eec507", "metadata": {}, "outputs": [ @@ -74,18 +74,29 @@ "name": "stdout", "output_type": "stream", "text": [ - "191.36069122430635\n" + "193.7028792871213\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\headw\\AppData\\Local\\Temp\\ipykernel_26420\\204085947.py:9: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", + " kron_wssd = np.float64(kron.wssd_discrepancy(n = n, weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights)) # compute the wssd\n" ] } ], "source": [ + "dim = 64\n", + "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)])\n", + "sample_weights = np.arange(1, n+1) # define some sample weights\n", "kron = Kronecker(dimension=dim, seed=12, generating_vector=\"ANDERS_CBC\") # initialize a Kronecker sequence as usual\n", "kron_k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) # define the kernel function (in this case, the second Bernoulli polynomial)\n", "\n", - "kron_discs = kron._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", + "kron_discs = kron._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", "\n", - "kron_wssd = kron.wssd_discrepancy(n = n, weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the wssd\n", - "print(kron_wssd[-1])" + "kron_wssd = np.float64(kron.wssd_discrepancy(n = n, weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights)) # compute the wssd\n", + "print(kron_wssd)" ] }, { @@ -106,7 +117,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 19, "id": "524e3b99", "metadata": {}, "outputs": [ @@ -114,12 +125,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 8.519208669662476\n", + "Time taken for lattice vector wssd search: 9.876056909561157\n", "Searched lattice vector: [ 1 444567 406809 53917 411513 111013 57773 23363 278133 179399\n", " 145725 480145 365723 134199 361515 297163 315729 250703 322429 236947\n", " 508553 455183 148433 37975 46187 474063 490317 14811 417263 342641\n", " 474417 269197 309749 29993 366775 433399 240621 375377 84847 232327\n", - " 214987 375079 32109 388283 153487 140919 390453 362317 413527 405689]\n" + " 214987 375079 32109 388283 153487 140919 390453 362317 413527 405689\n", + " 307801 95733 176459 498361 147739 178349 300557 427387 162217 127697\n", + " 183267 336879 314911 122203]\n" ] } ], @@ -174,7 +187,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "id": "9f66d72b", "metadata": {}, "outputs": [ @@ -184,30 +197,19 @@ "Text(0, 0.5, 'Periodic Discrepancy')" ] }, - "execution_count": 12, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" - }, - { - "ename": "", - "evalue": "", - "output_type": "error", - "traceback": [ - "\u001b[1;31mThe Kernel crashed while executing code in the current cell or a previous cell. \n", - "\u001b[1;31mPlease review the code in the cell(s) to identify a possible cause of the failure. \n", - "\u001b[1;31mClick here for more info. \n", - "\u001b[1;31mView Jupyter log for further details." - ] } ], "source": [ @@ -223,7 +225,7 @@ "fig, ax = pyplot.subplots(nrows=1, ncols=1, figsize=(12,10))\n", "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs1), label=\"Kuo Lattice Discrepancy\")\n", "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs2), label=\"New Lattice Discrepancy\")\n", - "# ax.plot(np.arange(1, n+1), np.sqrt(kron_discs), label=\"Kronecker Discrepancy\")\n", + "ax.plot(np.arange(1, n+1), np.sqrt(kron_discs), label=\"Kronecker Discrepancy\")\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.legend()\n", From 9033e5990dc5fdd725910dfec60d96ec3317004a Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 10:10:44 +0800 Subject: [PATCH 10/36] Add booktest file --- test/booktests/tb_lattice_kronecker_methods.py | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 test/booktests/tb_lattice_kronecker_methods.py diff --git a/test/booktests/tb_lattice_kronecker_methods.py b/test/booktests/tb_lattice_kronecker_methods.py new file mode 100644 index 000000000..c10cc0473 --- /dev/null +++ b/test/booktests/tb_lattice_kronecker_methods.py @@ -0,0 +1,12 @@ +import unittest +from testbook import testbook +from __init__ import TB_TIMEOUT, BaseNotebookTest + +class NotebookTests(BaseNotebookTest): + + @testbook('../../demos/lattice_kronecker_methods.ipynb', execute=True, timeout=TB_TIMEOUT) + def test_lattice_kronecker_methods_notebook(self, tb): + pass + +if __name__ == '__main__': + unittest.main() From 15ee863c9ea855f7f80f47aa943b6ee86857f2c6 Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 10:16:33 +0800 Subject: [PATCH 11/36] Add imports in __init__.py --- qmcpy/discrete_distribution/__init__.py | 5 ++--- qmcpy/discrete_distribution/kronecker/__init__.py | 3 ++- qmcpy/discrete_distribution/lattice/__init__.py | 1 + 3 files changed, 5 insertions(+), 4 deletions(-) diff --git a/qmcpy/discrete_distribution/__init__.py b/qmcpy/discrete_distribution/__init__.py index 182a16516..d5f08e3a1 100644 --- a/qmcpy/discrete_distribution/__init__.py +++ b/qmcpy/discrete_distribution/__init__.py @@ -1,10 +1,10 @@ from .abstract_discrete_distribution import AbstractDiscreteDistribution from .iid_std_uniform import IIDStdUniform -from .lattice import Lattice +from .lattice import Lattice, lattice_vector_wssd_search from .digital_net_b2 import DigitalNetB2 from .digital_net_any_bases import DigitalNetAnyBases,Halton,Faure from .mpmc import MPMC -from .kronecker import Kronecker +from .kronecker import Kronecker, kronecker_search_march_2026 DiscreteDistribution = AbstractDiscreteDistribution _DiscreteDistribution = AbstractDiscreteDistribution @@ -12,4 +12,3 @@ DigitalNet = DigitalNetB2 Net = DigitalNetB2 NetB2 = DigitalNetB2 - diff --git a/qmcpy/discrete_distribution/kronecker/__init__.py b/qmcpy/discrete_distribution/kronecker/__init__.py index 6d0653bb3..d88272a27 100644 --- a/qmcpy/discrete_distribution/kronecker/__init__.py +++ b/qmcpy/discrete_distribution/kronecker/__init__.py @@ -1 +1,2 @@ -from .kronecker import Kronecker \ No newline at end of file +from .kronecker import Kronecker +from .kronecker_search_methods import kronecker_search_march_2026 diff --git a/qmcpy/discrete_distribution/lattice/__init__.py b/qmcpy/discrete_distribution/lattice/__init__.py index b57762ece..3eb626fd7 100644 --- a/qmcpy/discrete_distribution/lattice/__init__.py +++ b/qmcpy/discrete_distribution/lattice/__init__.py @@ -1 +1,2 @@ from .lattice import Lattice +from .lattice_vector_wssd_search import lattice_vector_wssd_search From 081936cba3374caf9aa77c59bb06986e87bc1f4b Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 10:18:29 +0800 Subject: [PATCH 12/36] Comment out global high precision --- .../kronecker/kronecker_search_methods.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index bd6108b95..0a0cb7569 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -1,7 +1,7 @@ import numpy as np from sympy import gcdex, primerange, prime import time -np.set_printoptions(precision=17) +#np.set_printoptions(precision=17) #https://github.com/sympy/sympy/releases @@ -176,4 +176,4 @@ def kronecker_search_march_2026(N, dMax, searchsize, kernel=None, coord_weights= # print(a) # print(wssd) # end = time.time() -# print("Run time (seconds): ", end - start) \ No newline at end of file +# print("Run time (seconds): ", end - start) From a48c42e7b777da09e6d32818f7e0741b603bc6d7 Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 10:33:14 +0800 Subject: [PATCH 13/36] Fix unit test for demo --- demos/lattice_kronecker_methods.ipynb | 136 +++++++++++++----- .../booktests/tb_lattice_kronecker_methods.py | 8 +- 2 files changed, 102 insertions(+), 42 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index 384db68ee..0ab60dcfe 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -10,7 +10,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "2e06ea48", "metadata": {}, "outputs": [], @@ -40,7 +40,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 2, "id": "958e16e1", "metadata": {}, "outputs": [], @@ -66,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 3, "id": "c8eec507", "metadata": {}, "outputs": [ @@ -74,15 +74,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "193.7028792871213\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "C:\\Users\\headw\\AppData\\Local\\Temp\\ipykernel_26420\\204085947.py:9: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n", - " kron_wssd = np.float64(kron.wssd_discrepancy(n = n, weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights)) # compute the wssd\n" + "[193.70287929]\n" ] } ], @@ -117,7 +109,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 4, "id": "524e3b99", "metadata": {}, "outputs": [ @@ -125,20 +117,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 9.876056909561157\n", + "Time taken for lattice vector wssd search: 4.327883005142212\n", "Searched lattice vector: [ 1 444567 406809 53917 411513 111013 57773 23363 278133 179399\n", " 145725 480145 365723 134199 361515 297163 315729 250703 322429 236947\n", " 508553 455183 148433 37975 46187 474063 490317 14811 417263 342641\n", - " 474417 269197 309749 29993 366775 433399 240621 375377 84847 232327\n", - " 214987 375079 32109 388283 153487 140919 390453 362317 413527 405689\n", - " 307801 95733 176459 498361 147739 178349 300557 427387 162217 127697\n", - " 183267 336879 314911 122203]\n" + " 269197 474417 309749 29993 366775 433399 240621 375377 84847 232327\n", + " 214987 375079 32109 153487 388283 140919 390453 362317 405689 413527\n", + " 307801 147739 176459 95733 498361 178349 127697 427387 162217 183267\n", + " 300557 336879 314911 122203]\n" ] } ], "source": [ - "from qmcpy.discrete_distribution.lattice.lattice_vector_wssd_search import lattice_vector_wssd_search\n", - "\n", "# note that the search requires that the sample weights be w_n = n, so they are not customizable\n", "\n", "time_start = time()\n", @@ -158,13 +148,95 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "id": "09388fbc", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Time taken for Kronecker vector wssd search: 417.6621832847595\n", + "Searched Kronecker vector: (array([0.61803399, 0.44322929, 0.22874783, 0.85854891, 0.09862349,\n", + " 0.13027022, 0.30100237, 0.49129871, 0.10752283, 0.93244982,\n", + " 0.08420257, 0.2563596 , 0.32164088, 0.19570311, 0.5898421 ,\n", + " 0.60631972, 0.02965074, 0.57696365, 0.29815947, 0.72586386,\n", + " 0.81107075, 0.6439515 , 0.07966279, 0.05997121, 0.09380327,\n", + " 0.64980017, 0.27700713, 0.74102903, 0.87941726, 0.56144415,\n", + " 0.11886968, 0.41924865, 0.54660185, 0.08176813, 0.48158459,\n", + " 0.25388801, 0.23265409, 0.54636109, 0.10474602, 0.16138721,\n", + " 0.31612105, 0.39305959, 0.31975094, 0.03629234, 0.37544416,\n", + " 0.05323235, 0.16550695, 0.95164815, 0.15079678, 0.24254269,\n", + " 0.29654601, 0.10189676, 0.03117397, 0.49020769, 0.40708275,\n", + " 0.31187689, 0.41786611, 0.84794106, 0.31750284, 0.29872605,\n", + " 0.11568039, 0.32747855, 0.1734749 , 0.40610889]), 126.80242919921875, array([2.94259096e-01, 1.05815272e-01, 5.93755625e-02, ...,\n", + " 5.26598765e-11, 5.25139932e-11, 5.26756416e-11]), array([[43., 39., 97., 88.],\n", + " [19., 8., 83., 35.],\n", + " [61., 6., 71., 7.],\n", + " [67., 11., 61., 10.],\n", + " [97., 72., 31., 23.],\n", + " [ 7., 3., 23., 10.],\n", + " [29., 28., 59., 57.],\n", + " [41., 31., 37., 28.],\n", + " [83., 69., 89., 74.],\n", + " [ 7., 1., 83., 12.],\n", + " [11., 10., 43., 39.],\n", + " [19., 9., 59., 28.],\n", + " [37., 6., 31., 5.],\n", + " [97., 62., 61., 39.],\n", + " [37., 20., 61., 33.],\n", + " [ 2., 1., 67., 34.],\n", + " [41., 15., 71., 26.],\n", + " [11., 3., 37., 10.],\n", + " [53., 45., 73., 62.],\n", + " [43., 30., 53., 37.],\n", + " [47., 38., 73., 59.],\n", + " [23., 2., 11., 1.],\n", + " [71., 53., 67., 50.],\n", + " [ 5., 3., 53., 32.],\n", + " [61., 33., 37., 20.],\n", + " [23., 18., 83., 65.],\n", + " [23., 20., 31., 27.],\n", + " [73., 51., 83., 58.],\n", + " [23., 9., 41., 16.],\n", + " [ 7., 5., 59., 42.],\n", + " [61., 44., 43., 31.],\n", + " [29., 6., 53., 11.],\n", + " [ 5., 4., 61., 49.],\n", + " [43., 40., 29., 27.],\n", + " [17., 16., 67., 63.],\n", + " [17., 10., 73., 43.],\n", + " [29., 6., 53., 11.],\n", + " [ 7., 2., 67., 19.],\n", + " [43., 36., 37., 31.],\n", + " [13., 6., 41., 19.],\n", + " [ 5., 2., 13., 5.],\n", + " [31., 8., 97., 25.],\n", + " [ 3., 2., 83., 55.],\n", + " [23., 3., 61., 8.],\n", + " [ 2., 1., 37., 19.],\n", + " [ 5., 1., 31., 6.],\n", + " [79., 59., 83., 62.],\n", + " [11., 8., 73., 53.],\n", + " [83., 74., 37., 33.],\n", + " [11., 8., 37., 27.],\n", + " [ 2., 1., 19., 10.],\n", + " [ 3., 1., 97., 32.],\n", + " [79., 76., 53., 51.],\n", + " [83., 38., 59., 27.],\n", + " [19., 5., 61., 16.],\n", + " [13., 5., 31., 12.],\n", + " [67., 39., 79., 46.],\n", + " [13., 7., 41., 22.],\n", + " [61., 13., 47., 10.],\n", + " [ 5., 3., 43., 26.],\n", + " [41., 4., 31., 3.],\n", + " [ 5., 4., 29., 23.],\n", + " [89., 77., 37., 32.]]))\n" + ] + } + ], "source": [ - "from qmcpy.discrete_distribution.kronecker.kronecker_search_methods import kronecker_search_march_2026\n", - "\n", "searchsize = 25 # the time cost is O(dim * N * searchsize^2), so searchsize should be chosen with care. The largest I have run was in MATLAB with searchsize = 300, N = 2^20, d = 100, which took about 24 hours \n", "\n", "# note that the search requires that the sample weights be w_n = n, so they are not customizable\n", @@ -187,23 +259,13 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 6, "id": "9f66d72b", "metadata": {}, "outputs": [ { "data": { - "text/plain": [ - "Text(0, 0.5, 'Periodic Discrepancy')" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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"text/plain": [ "
" ] @@ -250,7 +312,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.11" + "version": "3.13.13" } }, "nbformat": 4, diff --git a/test/booktests/tb_lattice_kronecker_methods.py b/test/booktests/tb_lattice_kronecker_methods.py index c10cc0473..d98231616 100644 --- a/test/booktests/tb_lattice_kronecker_methods.py +++ b/test/booktests/tb_lattice_kronecker_methods.py @@ -1,12 +1,10 @@ import unittest -from testbook import testbook -from __init__ import TB_TIMEOUT, BaseNotebookTest +from __init__ import BaseNotebookTest class NotebookTests(BaseNotebookTest): - @testbook('../../demos/lattice_kronecker_methods.ipynb', execute=True, timeout=TB_TIMEOUT) - def test_lattice_kronecker_methods_notebook(self, tb): - pass + def test_lattice_kronecker_methods_notebook(self): + self.run_notebook('../../demos/lattice_kronecker_methods.ipynb') if __name__ == '__main__': unittest.main() From cfbe5ec988d604aa20b0deae529c9d0ee473457a Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 10:36:13 +0800 Subject: [PATCH 14/36] Replace with a smaller example in code cell [5] --- test/booktests/tb_lattice_kronecker_methods.py | 13 ++++++++++++- 1 file changed, 12 insertions(+), 1 deletion(-) diff --git a/test/booktests/tb_lattice_kronecker_methods.py b/test/booktests/tb_lattice_kronecker_methods.py index d98231616..421ef956e 100644 --- a/test/booktests/tb_lattice_kronecker_methods.py +++ b/test/booktests/tb_lattice_kronecker_methods.py @@ -1,10 +1,21 @@ import unittest from __init__ import BaseNotebookTest + class NotebookTests(BaseNotebookTest): def test_lattice_kronecker_methods_notebook(self): - self.run_notebook('../../demos/lattice_kronecker_methods.ipynb') + # Keep enough lattice candidates for the reduced dimension: dim <= n / 4. + replacements = { + "dim = 64": "dim = 8", + "n = 2**20": "n = 2**5", + "searchsize = 25": "searchsize = 4", + } + self.run_notebook( + "../../demos/lattice_kronecker_methods.ipynb", + replacements=replacements, + ) + if __name__ == '__main__': unittest.main() From a4055a10d323b98458049ed77a43c5f461334769 Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 10:48:41 +0800 Subject: [PATCH 15/36] Add doc --- docs/api/discrete_distributions.md | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/docs/api/discrete_distributions.md b/docs/api/discrete_distributions.md index c0d210da6..e6d90d456 100644 --- a/docs/api/discrete_distributions.md +++ b/docs/api/discrete_distributions.md @@ -24,6 +24,10 @@ jupyter: ::: qmcpy.discrete_distribution.lattice.Lattice +## `lattice_vector_wssd_search` + +::: qmcpy.discrete_distribution.lattice.lattice_vector_wssd_search.lattice_vector_wssd_search + ## `Halton` ::: qmcpy.discrete_distribution.digital_net_any_bases.halton.Halton @@ -40,6 +44,10 @@ jupyter: ::: qmcpy.discrete_distribution.kronecker.Kronecker +## `kronecker_search_march_2026` + +::: qmcpy.discrete_distribution.kronecker.kronecker_search_methods.kronecker_search_march_2026 + ## `IIDStdUniform` ::: qmcpy.discrete_distribution.iid_std_uniform.IIDStdUniform From cfbcf9caf10510456830118db4ea866bc33efd1a Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 10:51:44 +0800 Subject: [PATCH 16/36] Potential fix for pull request finding 'Unused import' Co-authored-by: Copilot Autofix powered by AI <223894421+github-code-quality[bot]@users.noreply.github.com> --- .../discrete_distribution/kronecker/kronecker_search_methods.py | 1 - 1 file changed, 1 deletion(-) diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index 0a0cb7569..2e6849b6c 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -1,6 +1,5 @@ import numpy as np from sympy import gcdex, primerange, prime -import time #np.set_printoptions(precision=17) #https://github.com/sympy/sympy/releases From 2a3bbb4f2d84c23eb27d4e74ce30522406c26358 Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 10:51:57 +0800 Subject: [PATCH 17/36] Potential fix for pull request finding 'Testing equality to None' Co-authored-by: Copilot Autofix powered by AI <223894421+github-code-quality[bot]@users.noreply.github.com> --- .../discrete_distribution/lattice/lattice_vector_wssd_search.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index c1b02c2ad..1c953ac53 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -3,7 +3,7 @@ # I am not sure where the best place to put this is, will ask Aleksi def lattice_vector_wssd_search(N, d, kernel,coord_weights): - if kernel == None: + if kernel is None: kernel = lambda x: x * (x - 1) + 1 / 6 # default kernel is the second Bernoulli polynomial if coord_weights is None: coord_weights = np.array([j**(-2) for j in range(1, d + 1)], dtype=np.float64) # default coordinate weights are j^(-2) From b0889dca7798b36c07f93ac4d2ef904beb572301 Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 15:44:49 +0800 Subject: [PATCH 18/36] Fix a bug in warning --- qmcpy/discrete_distribution/kronecker/kronecker.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/qmcpy/discrete_distribution/kronecker/kronecker.py b/qmcpy/discrete_distribution/kronecker/kronecker.py index 23a40bf31..41dd553f7 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker.py @@ -391,7 +391,7 @@ def __init__(self, if not (self.dvec.max() < len(gen_vec)): if warn: warnings.warn( - f"CBC generating vector only supports dimension <= {len(CBC)}; falling back to Richtmyer.", + f"ANDERS_CBC generating vector only supports dimension <= {len(ANDERS_CBC)}; falling back to Richtmyer.", RuntimeWarning, ) self.gen_vec_source = "RICHTMYER" From 98221ba13264f2b13c988a0c91ad6725668ad793 Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Fri, 17 Jul 2026 15:44:59 +0800 Subject: [PATCH 19/36] Add unit tests --- test/test_dd_lattice_kronecker.py | 189 ++++++++++++++++++++++++++++++ 1 file changed, 189 insertions(+) create mode 100644 test/test_dd_lattice_kronecker.py diff --git a/test/test_dd_lattice_kronecker.py b/test/test_dd_lattice_kronecker.py new file mode 100644 index 000000000..3f98b7b64 --- /dev/null +++ b/test/test_dd_lattice_kronecker.py @@ -0,0 +1,189 @@ +import numpy as np +import numpy.testing as npt +import pytest + +from qmcpy import ( + Kronecker, + Lattice, + kronecker_search_march_2026, + lattice_vector_wssd_search, +) + +###################################################### +# Helper functions +###################################################### +def _bernoulli_two(x): + return x * (x - 1) + 1 / 6 + + +def _periodic_kernel(x, coord_weights): + return np.prod(1 + _bernoulli_two(x) * coord_weights, axis=-1) + + +def _direct_squared_discrepancies(points, coord_weights): + """Evaluate the periodic-kernel definition directly for small prefixes.""" + return np.array( + [ + _periodic_kernel( + (points[:n, None] - points[None, :n]) % 1, coord_weights + ).mean() + - 1 + for n in range(1, len(points) + 1) + ] + ) + + +###################################################### +# Test class for Lattice and Kronecker methods +###################################################### +class TestLatticeKroneckerMethods(object): + + def test_lattice_discrepancy_and_wssd(self): + n, coord_weights = 8, np.array([1.0, 0.25]) + lattice = Lattice(2, randomize=False, order="RADICAL_INVERSE") + expected = _direct_squared_discrepancies( + lattice.gen_samples(n=n, warn=False), coord_weights + ) + + for actual in ( + lattice.expected_squared_periodic_discrepancies(n), + lattice.expected_squared_periodic_discrepancies( + n, coord_weights=coord_weights, kernel=_bernoulli_two + ), + ): + assert actual.shape == (n,) and np.isfinite(actual).all() + npt.assert_allclose(actual, expected, rtol=0, atol=5e-15) + + npt.assert_allclose( + lattice.wssd(n), np.arange(1, n + 1) @ expected, rtol=0, atol=5e-14 + ) + sample_weights = np.linspace(0.5, 1.5, n) + npt.assert_allclose( + lattice.wssd( + n, coord_weights=coord_weights, sample_weights=sample_weights + ), + sample_weights @ expected, + rtol=0, + atol=5e-14, + ) + + def test_lattice_validation(self): + lattice = Lattice(2, randomize=False) + with pytest.raises(ValueError, match="coord_weights"): + lattice.expected_squared_periodic_discrepancies(8, coord_weights=[1.0]) + with pytest.raises(ValueError, match="coord_weights"): + lattice.wssd(8, coord_weights=[1.0]) + with pytest.raises(ValueError, match="sample_weights"): + lattice.wssd(8, sample_weights=np.ones(7)) + with pytest.raises(NotImplementedError, match="linear order"): + Lattice(2, randomize=False, order="LINEAR").expected_squared_periodic_discrepancies(8) + + def test_lattice_vector_search(self): + default = lattice_vector_wssd_search(16, 4, None, None) + explicit = lattice_vector_wssd_search( + 16, 4, _bernoulli_two, np.array([1.0, 0.25, 1 / 9, 1 / 16]) + ) + npt.assert_array_equal(default, np.array([1, 5, 3, 7])) + npt.assert_array_equal(explicit, default) + assert default.shape == (4,) and default.dtype.kind in "iu" + assert len(np.unique(default)) == len(default) and np.all(default % 2 == 1) + + def test_kronecker_discrepancy_and_wssd(self): + n = 8 + kronecker = Kronecker( + 2, generating_vector="SUZUKI", randomize="SHIFT", shift=[0.1, 0.2] + ) + points = (np.arange(n)[:, None] * kronecker.gen_vec[0]) % 1 + sample_weights = np.arange(1, n + 1) + expected = _direct_squared_discrepancies(points, np.ones(2)) + actual = kronecker.periodic_discrepancy(n) ** 2 + assert actual.shape == (1, n) + npt.assert_allclose(actual, expected[None], rtol=0, atol=5e-15) + npt.assert_allclose( + kronecker.wssd_discrepancy(n, sample_weights), + [sample_weights @ expected], + rtol=0, + atol=5e-14, + ) + + coord_weights, kernel = np.array([1.0, 0.25]), (_periodic_kernel, 1) + expected = _direct_squared_discrepancies(points, coord_weights) + for actual in ( + kronecker._square_periodic_discrepancies(n, kernel, coord_weights), + kronecker.periodic_discrepancy( + n, k_tilde=kernel, gamma=coord_weights + ) + ** 2, + ): + npt.assert_allclose(actual, expected[None], rtol=0, atol=5e-15) + npt.assert_allclose( + kronecker.wssd_discrepancy( + n, sample_weights, k_tilde=kernel, gamma=coord_weights + ), + [sample_weights @ expected], + rtol=0, + atol=5e-14, + ) + + def test_anders_cbc_fallback(self): + kronecker = Kronecker(3, generating_vector="ANDERS_CBC", randomize=False) + assert kronecker.gen_vec_source == "ANDERS_CBC" + assert kronecker.gen_vec.shape == (1, 3) and np.isfinite(kronecker.gen_vec).all() + + with pytest.warns(RuntimeWarning, match="ANDERS_CBC.*dimension <= 100"): + fallback = Kronecker( + 101, generating_vector="ANDERS_CBC", randomize=False + ) + assert fallback.gen_vec_source == "RICHTMYER" + assert fallback.gen_vec.shape == (1, 101) + + def test_kronecker_search(self): + n = 8 + vector, wssd, discrepancies, coefficients = kronecker_search_march_2026( + N=n, dMax=3, searchsize=3 + ) + assert vector.shape == (3,) and discrepancies.shape == (n,) + assert coefficients.shape == (2, 4) + assert np.isfinite(vector).all() and np.isfinite(discrepancies).all() + assert np.all((0 <= vector) & (vector < 1)) + npt.assert_allclose( + wssd, np.arange(1, n + 1) @ discrepancies, rtol=0, atol=5e-14 + ) + + coord_weights = np.array([1.0, 0.25, 1 / 9]) + points = (np.arange(n)[:, None] * vector) % 1 + npt.assert_allclose( + discrepancies, + _direct_squared_discrepancies(points, coord_weights), + rtol=0, + atol=5e-15, + ) + + vector, wssd, discrepancies, coefficients = kronecker_search_march_2026( + N=n, + dMax=3, + searchsize=3, + kernel=_bernoulli_two, + coord_weights=coord_weights, + gen_vec_init=1.25, + ) + assert vector[0] == pytest.approx(0.25) and coefficients.shape == (2, 4) + npt.assert_allclose( + wssd, np.arange(1, n + 1) @ discrepancies, rtol=0, atol=5e-14 + ) + + @pytest.mark.parametrize( + ("kwargs", "message"), + [ + ({"N": 8, "dMax": 2, "searchsize": 1}, "searchsize"), + ({"N": 1, "dMax": 2, "searchsize": 2}, "N must"), + ({"N": 8, "dMax": 0, "searchsize": 2}, "dMax"), + ( + {"N": 8, "dMax": 3, "searchsize": 2, "coord_weights": np.ones(2)}, + "coord_weights", + ), + ], + ) + def test_kronecker_search_validation(self, kwargs, message): + with pytest.raises(ValueError, match=message): + kronecker_search_march_2026(**kwargs) From 2542d0d37a0ff0841e8199bec2e52e4a2238ad8b Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Tue, 28 Jul 2026 16:05:09 -0500 Subject: [PATCH 20/36] Several miscellaneous requested changes: Changed variable & function names to be more consistent and descriptive. Fixed imports where needed and removed a few extraneous lines. Added docstrings/doctests where needed. Updated examples in the lattice_kronecker_methods demo to ensure a reasonable run time. --- demos/lattice_kronecker_methods.ipynb | 151 +++++------------- qmcpy/discrete_distribution/__init__.py | 2 +- .../kronecker/__init__.py | 2 +- .../kronecker/kronecker.py | 15 +- .../kronecker/kronecker_search_methods.py | 86 +++++----- .../lattice/lattice_vector_wssd_search.py | 93 ++++++++--- 6 files changed, 159 insertions(+), 190 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index 0ab60dcfe..d8e721f27 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -10,16 +10,15 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "id": "2e06ea48", "metadata": {}, "outputs": [], "source": [ "from qmcpy import *\n", "import numpy as np\n", - "from matplotlib import pyplot\n", "from time import time\n", - "np.set_printoptions(legacy='1.25')" + "from matplotlib import pyplot" ] }, { @@ -43,17 +42,26 @@ "execution_count": 2, "id": "958e16e1", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "17.68626758525142\n" + ] + } + ], "source": [ - "dim = 64\n", - "n = 2**20\n", + "dim = 100\n", + "n = 2**15\n", "lat = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12) # initialize a lattice as usual\n", "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)]) # define some coordinate weights\n", "\n", "lat_discs = lat.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", "\n", "sample_weights = np.arange(1, n+1) # define some sample weights\n", - "lat_wssd = lat.wssd(n_max=n, coord_weights=coord_weights, sample_weights=sample_weights) # compute the wssd" + "lat_wssd = lat.wssd(n_max=n, coord_weights=coord_weights, sample_weights=sample_weights) # compute the wssd\n", + "print(lat_wssd)" ] }, { @@ -74,20 +82,22 @@ "name": "stdout", "output_type": "stream", "text": [ - "[193.70287929]\n" + "[11.0370278]\n" ] } ], "source": [ - "dim = 64\n", + "dim = 100\n", + "n = 2**15\n", "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)])\n", - "sample_weights = np.arange(1, n+1) # define some sample weights\n", - "kron = Kronecker(dimension=dim, seed=12, generating_vector=\"ANDERS_CBC\") # initialize a Kronecker sequence as usual\n", + "\n", + "kron = Kronecker(dimension=dim, seed=12, generating_vector=\"CBC_MT\") # initialize a Kronecker sequence as usual\n", "kron_k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) # define the kernel function (in this case, the second Bernoulli polynomial)\n", "\n", "kron_discs = kron._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", "\n", - "kron_wssd = np.float64(kron.wssd_discrepancy(n = n, weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights)) # compute the wssd\n", + "sample_weights = np.arange(1, n+1) # define some sample weights\n", + "kron_wssd = kron.wssd_discrepancy(n = n, sample_weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the wssd\n", "print(kron_wssd)" ] }, @@ -117,22 +127,20 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 4.327883005142212\n", - "Searched lattice vector: [ 1 444567 406809 53917 411513 111013 57773 23363 278133 179399\n", - " 145725 480145 365723 134199 361515 297163 315729 250703 322429 236947\n", - " 508553 455183 148433 37975 46187 474063 490317 14811 417263 342641\n", - " 269197 474417 309749 29993 366775 433399 240621 375377 84847 232327\n", - " 214987 375079 32109 153487 388283 140919 390453 362317 405689 413527\n", - " 307801 147739 176459 95733 498361 178349 127697 427387 162217 183267\n", - " 300557 336879 314911 122203]\n" + "Time taken for lattice vector wssd search: 0.17128682136535645\n", + "Searched lattice vector: [ 1 4825 13541 15249 15405 9909 7493 11407 14819 10089 3683 3347\n", + " 13789 8837 5309 6307 6447 12103 9097 2767]\n" ] } ], "source": [ - "# note that the search requires that the sample weights be w_n = n, so they are not customizable\n", + "# note that the search method requires that the sample weights be w_n = n, so they are not customizable\n", + "n = 2**15\n", + "dim = 20\n", + "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)])\n", "\n", "time_start = time()\n", - "searched_lattice_vector = lattice_vector_wssd_search(N = n, d = dim, kernel = lambda x: x * (x - 1) + 1 / 6, coord_weights = coord_weights) # search for a lattice vector with low wssd\n", + "searched_lattice_vector = lattice_vector_wssd_search(n_max = n, d_max = dim, kernel = lambda x: x * (x - 1) + 1 / 6, coord_weights = coord_weights) # search for a lattice vector with low wssd\n", "time_end = time()\n", "print(\"Time taken for lattice vector wssd search: \", time_end - time_start)\n", "print(\"Searched lattice vector: \", searched_lattice_vector)" @@ -156,97 +164,27 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for Kronecker vector wssd search: 417.6621832847595\n", - "Searched Kronecker vector: (array([0.61803399, 0.44322929, 0.22874783, 0.85854891, 0.09862349,\n", - " 0.13027022, 0.30100237, 0.49129871, 0.10752283, 0.93244982,\n", - " 0.08420257, 0.2563596 , 0.32164088, 0.19570311, 0.5898421 ,\n", - " 0.60631972, 0.02965074, 0.57696365, 0.29815947, 0.72586386,\n", - " 0.81107075, 0.6439515 , 0.07966279, 0.05997121, 0.09380327,\n", - " 0.64980017, 0.27700713, 0.74102903, 0.87941726, 0.56144415,\n", - " 0.11886968, 0.41924865, 0.54660185, 0.08176813, 0.48158459,\n", - " 0.25388801, 0.23265409, 0.54636109, 0.10474602, 0.16138721,\n", - " 0.31612105, 0.39305959, 0.31975094, 0.03629234, 0.37544416,\n", - " 0.05323235, 0.16550695, 0.95164815, 0.15079678, 0.24254269,\n", - " 0.29654601, 0.10189676, 0.03117397, 0.49020769, 0.40708275,\n", - " 0.31187689, 0.41786611, 0.84794106, 0.31750284, 0.29872605,\n", - " 0.11568039, 0.32747855, 0.1734749 , 0.40610889]), 126.80242919921875, array([2.94259096e-01, 1.05815272e-01, 5.93755625e-02, ...,\n", - " 5.26598765e-11, 5.25139932e-11, 5.26756416e-11]), array([[43., 39., 97., 88.],\n", - " [19., 8., 83., 35.],\n", - " [61., 6., 71., 7.],\n", - " [67., 11., 61., 10.],\n", - " [97., 72., 31., 23.],\n", - " [ 7., 3., 23., 10.],\n", - " [29., 28., 59., 57.],\n", - " [41., 31., 37., 28.],\n", - " [83., 69., 89., 74.],\n", - " [ 7., 1., 83., 12.],\n", - " [11., 10., 43., 39.],\n", - " [19., 9., 59., 28.],\n", - " [37., 6., 31., 5.],\n", - " [97., 62., 61., 39.],\n", - " [37., 20., 61., 33.],\n", - " [ 2., 1., 67., 34.],\n", - " [41., 15., 71., 26.],\n", - " [11., 3., 37., 10.],\n", - " [53., 45., 73., 62.],\n", - " [43., 30., 53., 37.],\n", - " [47., 38., 73., 59.],\n", - " [23., 2., 11., 1.],\n", - " [71., 53., 67., 50.],\n", - " [ 5., 3., 53., 32.],\n", - " [61., 33., 37., 20.],\n", - " [23., 18., 83., 65.],\n", - " [23., 20., 31., 27.],\n", - " [73., 51., 83., 58.],\n", - " [23., 9., 41., 16.],\n", - " [ 7., 5., 59., 42.],\n", - " [61., 44., 43., 31.],\n", - " [29., 6., 53., 11.],\n", - " [ 5., 4., 61., 49.],\n", - " [43., 40., 29., 27.],\n", - " [17., 16., 67., 63.],\n", - " [17., 10., 73., 43.],\n", - " [29., 6., 53., 11.],\n", - " [ 7., 2., 67., 19.],\n", - " [43., 36., 37., 31.],\n", - " [13., 6., 41., 19.],\n", - " [ 5., 2., 13., 5.],\n", - " [31., 8., 97., 25.],\n", - " [ 3., 2., 83., 55.],\n", - " [23., 3., 61., 8.],\n", - " [ 2., 1., 37., 19.],\n", - " [ 5., 1., 31., 6.],\n", - " [79., 59., 83., 62.],\n", - " [11., 8., 73., 53.],\n", - " [83., 74., 37., 33.],\n", - " [11., 8., 37., 27.],\n", - " [ 2., 1., 19., 10.],\n", - " [ 3., 1., 97., 32.],\n", - " [79., 76., 53., 51.],\n", - " [83., 38., 59., 27.],\n", - " [19., 5., 61., 16.],\n", - " [13., 5., 31., 12.],\n", - " [67., 39., 79., 46.],\n", - " [13., 7., 41., 22.],\n", - " [61., 13., 47., 10.],\n", - " [ 5., 3., 43., 26.],\n", - " [41., 4., 31., 3.],\n", - " [ 5., 4., 29., 23.],\n", - " [89., 77., 37., 32.]]))\n" + "Time taken for kronecker vector wssd search: 5.96858549118042\n", + "Searched Kronecker vector: [0.61803399 0.26774665 0.91444648 0.22708655 0.12137476 0.71267465\n", + " 0.69787961 0.10230792 0.18609503 0.31195642 0.41561801 0.13176115\n", + " 0.22004561 0.56882224 0.1079203 0.10500649 0.16477572 0.85934099\n", + " 0.79691446 0.21233239]\n" ] } ], "source": [ - "searchsize = 25 # the time cost is O(dim * N * searchsize^2), so searchsize should be chosen with care. The largest I have run was in MATLAB with searchsize = 300, N = 2^20, d = 100, which took about 24 hours \n", - "\n", - "# note that the search requires that the sample weights be w_n = n, so they are not customizable\n", + "# note that the search method requires that the sample weights be w_n = n, so they are not customizable\n", + "n = 2**15\n", + "dim = 20\n", + "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)])\n", + "searchsize = 20 # the time cost is O(dim * n * searchsize^2), so searchsize should be chosen with care. The largest search I have run was in MATLAB with searchsize = 300, N = 2^20, d = 100, which took about 24 hours \n", "\n", "time_start = time()\n", - "searched_kron_vector = kronecker_search_march_2026(N = n, dMax = dim, kernel = lambda x: x * (x - 1) + 1 / 6, searchsize = searchsize, coord_weights = coord_weights) # search for a Kronecker vector with low wssd\n", + "searched_kron_vector = kronecker_vector_search_mobius_transform(n_max = n, d_max = dim, kernel = lambda x: x * (x - 1) + 1 / 6, searchsize = searchsize, coord_weights = coord_weights) # search for a Kronecker vector with low wssd\n", "time_end = time()\n", "\n", - "print(\"Time taken for Kronecker vector wssd search: \", time_end - time_start)\n", - "print(\"Searched Kronecker vector: \", searched_kron_vector)" + "print(\"Time taken for kronecker vector wssd search: \", time_end - time_start)\n", + "print(\"Searched Kronecker vector: \", searched_kron_vector[0])" ] }, { @@ -275,8 +213,7 @@ } ], "source": [ - "gen_vec = np.loadtxt(\"kuo.lattice-39102-1024-1048576.3600.txt\",dtype=np.uint64) \n", - "lat1 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=gen_vec[:,1], m_max=20) # initialize a lattice with the generating vector of all 1s\n", + "lat1 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=\"kuo.lattice-33002-1024-1048576.9125.txt\", m_max=20) # initialize a lattice with the generating vector of all 1s\n", "lat_discs1 = lat1.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", "\n", "\n", diff --git a/qmcpy/discrete_distribution/__init__.py b/qmcpy/discrete_distribution/__init__.py index d5f08e3a1..1244ac8ee 100644 --- a/qmcpy/discrete_distribution/__init__.py +++ b/qmcpy/discrete_distribution/__init__.py @@ -4,7 +4,7 @@ from .digital_net_b2 import DigitalNetB2 from .digital_net_any_bases import DigitalNetAnyBases,Halton,Faure from .mpmc import MPMC -from .kronecker import Kronecker, kronecker_search_march_2026 +from .kronecker import Kronecker, kronecker_vector_search_mobius_transform DiscreteDistribution = AbstractDiscreteDistribution _DiscreteDistribution = AbstractDiscreteDistribution diff --git a/qmcpy/discrete_distribution/kronecker/__init__.py b/qmcpy/discrete_distribution/kronecker/__init__.py index d88272a27..69aed4fdf 100644 --- a/qmcpy/discrete_distribution/kronecker/__init__.py +++ b/qmcpy/discrete_distribution/kronecker/__init__.py @@ -1,2 +1,2 @@ from .kronecker import Kronecker -from .kronecker_search_methods import kronecker_search_march_2026 +from .kronecker_search_methods import kronecker_vector_search_mobius_transform \ No newline at end of file diff --git a/qmcpy/discrete_distribution/kronecker/kronecker.py b/qmcpy/discrete_distribution/kronecker/kronecker.py index 41dd553f7..f06a50045 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker.py @@ -243,6 +243,7 @@ def __init__(self, - `"CBC"`: uses the first $d$ components of a known good Component-by-Component (CBC) generating vector. - `"RICHTMYER"`: uses $\boldsymbol{\alpha}_j = \sqrt{p_j} \bmod 1$, where $p_j$ are primes. This is the classical Richtmyer construction. - `"SUZUKI"`: uses a deterministic construction $\boldsymbol{\alpha}_j = 2^{j/(d+1)}$. + - `"CBC_MT"`: uses the first $d$ components of a known good CBC generating vector obtained using the Mobius transformation method, which can be found in kronecker_search_methods.py. - np.array: user-specified generating vector. shift (np.ndarray): Shift vector $\boldsymbol{\delta}$. If `randomize=True`, this is ignored and a random shift is generated. Otherwise, a fixed shift is used. @@ -285,9 +286,9 @@ def __init__(self, elif isinstance(generating_vector, str) and generating_vector.lower() == "suzuki": self.gen_vec_source = "SUZUKI" gen_vec = _suzuki_generating_vector(self.dvec.max()+1) - elif isinstance(generating_vector, str) and generating_vector.lower() == "anders_cbc": - self.gen_vec_source = "ANDERS_CBC" - ANDERS_CBC = np.array([0.618033988749895, + elif isinstance(generating_vector, str) and generating_vector.lower() == "cbc_mt": + self.gen_vec_source = "CBC_MT" + CBC_MT = np.array([0.618033988749895, 0.3173225474723, 0.59332263014446, 0.20776441643926, @@ -387,11 +388,11 @@ def __init__(self, 0.337431120990153, 0.542476014178907, 0.307279789725491], dtype=np.float64) - gen_vec = ANDERS_CBC + gen_vec = CBC_MT if not (self.dvec.max() < len(gen_vec)): if warn: warnings.warn( - f"ANDERS_CBC generating vector only supports dimension <= {len(ANDERS_CBC)}; falling back to Richtmyer.", + f"CBC_MT generating vector only supports dimension <= {len(CBC_MT)}; falling back to Richtmyer.", RuntimeWarning, ) self.gen_vec_source = "RICHTMYER" @@ -460,7 +461,7 @@ def periodic_discrepancy(self, n, k_tilde=None, gamma=None): return np.sqrt(self._square_periodic_discrepancies(n, k_tilde, gamma)) - def wssd_discrepancy(self, n, weights, k_tilde = None, gamma = None): + def wssd_discrepancy(self, n, sample_weights, k_tilde = None, gamma = None): # calculates the weighted sum of square discrepancy if gamma is None: gamma = np.ones(self.d) @@ -469,7 +470,7 @@ def wssd_discrepancy(self, n, weights, k_tilde = None, gamma = None): k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) discrepancies = self._square_periodic_discrepancies(n, k_tilde, gamma) - return np.sum(weights * discrepancies, axis=-1) + return np.sum(sample_weights * discrepancies, axis=-1) def _square_periodic_discrepancies(self, n, k_tilde, gamma): diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index 2e6849b6c..b4ef4b77c 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -1,43 +1,42 @@ import numpy as np -from sympy import gcdex, primerange, prime -#np.set_printoptions(precision=17) -#https://github.com/sympy/sympy/releases +import sympy - -# I can't find where Jimmy's code for the kronecker search from SURE 2025 is, so I've temporarily put my method here - -def kronecker_search_march_2026(N, dMax, searchsize, kernel=None, coord_weights=None, gen_vec_init=None): +def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=None, coord_weights=None, gen_vec_init=None): """ + CBC search method for finding a generating vector for a Kronecker sequence, minimizing the weighted sum of squared discrepancies (WSSD). + - The first component is gen_vec_init, defaults to the golden ratio. + - We use a modified mobius transformation f(x) = (a*x + b)/(c*x + d) where a, c are distinct primes and b, d are the two pairs of the smallest positive integers such that |a*d - b*c| = 1. + - Each subsequent component is found by performing the mobius transformation on the previous component, searching over all pairs of distinct primes from the first searchsize many primes. Args: - N (int): The maximum sample size to be searched over. - dMax (int): The maximum dimension for which to find the generating vector. - kernel (function): The kernel function to use in the search. + n_max (int): The maximum sample size to be searched over. + d_max (int): The maximum dimension for which to find the generating vector. + kernel (callable): The kernel function to use in the search. searchsize (int): The number of primes to search over for each component of the generating vector. coord_weights (array-like, optional): An array of coordinate weights to use in the search. If None, weights are set to j^(-2). gen_vec_init (array-like, optional): The initial value for the generating vector. If None, the golden ratio is used for the first component. Note that gen_vec_init is taken mod 1. Returns: generating_vector, wssd, discrepancies, coeff (tuple): - generating_vector (numpy array): The generating vector found by the search. - - wssd (float): The weighted sum of squared discrepancies for n = 1,...,N, for the generating vector found. - - discrepancies (numpy array): The discrepancies for n = 1,...,N. + - wssd (float): The weighted sum of squared discrepancies for n = 1,...,n_max, for the generating vector found. + - discrepancies (numpy array): The discrepancies for n = 1,...,n_max. - coeff (numpy array): The coefficients of the linear transformation used in the search. A description of the coeff array is found below. Time cost: - The time cost of the search is O(searchsize^2 * dMax * N). + The time cost of the search is O(searchsize^2 * d_max * n_max). Approach: - Uses the quadratic Bernoulli polynomial kernel to conduct a CBC search for a generating vector, minimizing the weighted sum of squared discrepancies (wssd) with weights w_n = n. + Uses the quadratic Bernoulli polynomial kernel to conduct a CBC search for a generating vector, minimizing the weighted sum of squared discrepancies (wssd) with sample weights w_n = n. Details on coeff array: - The coeff array is a (dMax-1) x 4 array where each row corresponds to a dimension from 2 to dMax. The columns correspond to the coefficients of the linear transformation used to compute the gen_vec component for that dimension. Specifically, + The coeff array is a (d_max-1) x 4 array where each row corresponds to a dimension from 2 to d_max. The columns correspond to the coefficients of the linear transformation used to compute the gen_vec component for that dimension. Specifically, - gen_vec[dim+1] = (coeff[dim, 0] * gen_vec[dim] + coeff[dim, 1]) / (coeff[dim, 2] * gen_vec[dim] + coeff[dim, 3]) """ if searchsize < 2: raise ValueError("searchsize must be at least 2.") - if N < 2: - raise ValueError("N must be at least 2.") - if dMax < 1: - raise ValueError("dMax must be at least 1.") - if coord_weights is not None and len(coord_weights) < dMax: - raise ValueError("Length of coord_weights must be greater than or equal to dMax.") + if n_max < 2: + raise ValueError("n_max must be at least 2.") + if d_max < 1: + raise ValueError("d_max must be at least 1.") + if coord_weights is not None and len(coord_weights) < d_max: + raise ValueError("Length of coord_weights must be greater than or equal to d_max.") # the quadratic Bernoulli polynomial @@ -46,13 +45,13 @@ def kronecker_search_march_2026(N, dMax, searchsize, kernel=None, coord_weights= # define coordinate weights if not provided, default to j^(-2) if coord_weights is None: - coord_weights = np.array([j**(-2) for j in range(1, dMax + 1)], dtype=np.float64) + coord_weights = np.array([j**(-2) for j in range(1, d_max + 1)], dtype=np.float64) # search over the first n primes, n = searchsize - searchspace = np.array(list(primerange(1, prime(searchsize)+1)), dtype=np.float64) + searchspace = np.array(list(sympy.primerange(1, sympy.prime(searchsize)+1)), dtype=np.float64) # gen_vec is our generating vector, will be found cbc - gen_vec = np.zeros(dMax, dtype=np.float64) + gen_vec = np.zeros(d_max, dtype=np.float64) # we pick the golden ratio as the first component of gen_vec, or let the user specify if gen_vec_init is None: @@ -61,14 +60,14 @@ def kronecker_search_march_2026(N, dMax, searchsize, kernel=None, coord_weights= gen_vec[0] = np.mod(gen_vec_init, 1,dtype=np.float64) # precompute several constants for the wssd calculation - diff = np.cumsum(1.0 / np.arange(N, 1, -1,dtype=np.float64)) + diff = np.cumsum(1.0 / np.arange(n_max, 1, -1,dtype=np.float64)) freq = np.cumsum(diff) freq = np.flip(freq) - num = N * (N + 1) / 2 + num = n_max * (n_max + 1) / 2 nK0 = (1 + coord_weights/6) - nK0 = N * np.cumprod(nK0) + nK0 = n_max * np.cumprod(nK0) # precompute Bezout coefficients for all pairs of primes in the search space bezoutCoeffs = np.zeros((searchsize, searchsize)) @@ -77,19 +76,19 @@ def kronecker_search_march_2026(N, dMax, searchsize, kernel=None, coord_weights= for j in range(i + 1, searchsize): c = searchspace[j] # Use sympy.gcdex to get Bezout coefficients - d_coeff, b_coeff, _ = gcdex(int(a), int(c)) + d_coeff, b_coeff, _ = sympy.gcdex(int(a), int(c)) bezoutCoeffs[i, j] = np.float64(b_coeff) bezoutCoeffs[j, i] = np.float64(d_coeff) # setting up some useful variables for the search - coeff = np.zeros((dMax - 1, 4)) # stores the coefficients of the linear transformation at each dimension - t = gen_vec[0] * np.arange(1, N) % 1 # t vector is the vector of coordinates generated for the first dimension + coeff = np.zeros((d_max - 1, 4)) # stores the coefficients of the linear transformation at each dimension + t = gen_vec[0] * np.arange(1, n_max) % 1 # t vector is the vector of coordinates generated for the first dimension kPrev = 1 + coord_weights[0] * kernel(t) # gets the k vector for the first dimension, which is used in the wssd calculation and updated each dimension of the search. - # The k vector is Ktilde(x_i) for i = 1,...,N-1, where Ktilde is the kernel and x_i are the points generated by the gen_vec vector, up to the current dimension. + # The k vector is Ktilde(x_i) for i = 1,...,n_max-1, where Ktilde is the kernel and x_i are the points generated by the gen_vec vector, up to the current dimension. # the main search loop - for dim in range(1, dMax): + for dim in range(1, d_max): best_wssd = np.inf # stores the current wssd found for each dimension, initialized to infinity best_gen_vec = 0 # stores the current best gen_vec component found for this dimension, initialized to 0 best_k = None # stores the k vector for the current best gen_vec, used to update the k vector for the next dimension after the search is done for this dimension @@ -117,8 +116,8 @@ def kronecker_search_march_2026(N, dMax, searchsize, kernel=None, coord_weights= gen_vec_dim1 = (p1 * gen_vec[dim - 1] + b1) / (p2 * gen_vec[dim - 1] + d1) # the linear transformation to get the next gen_vec_dim candidate to test gen_vec_dim2 = (p1 * gen_vec[dim - 1] + b2) / (p2 * gen_vec[dim - 1] + d2) # the other candidate from the linear transformation - t1 = (gen_vec_dim1 * np.arange(1, N)) - np.floor(gen_vec_dim1 * np.arange(1, N)) # vector of coordinates generated by this candidate component - t2 = (gen_vec_dim2 * np.arange(1, N)) - np.floor(gen_vec_dim2 * np.arange(1, N)) + t1 = (gen_vec_dim1 * np.arange(1, n_max)) - np.floor(gen_vec_dim1 * np.arange(1, n_max)) # vector of coordinates generated by this candidate component + t2 = (gen_vec_dim2 * np.arange(1, n_max)) - np.floor(gen_vec_dim2 * np.arange(1, n_max)) k_vector1 = kPrev * (1 + kernel(t1) * coord_weights[dim]) # get the k vector for this candidate component, used in the wssd calculation k_vector2 = kPrev * (1 + kernel(t2) * coord_weights[dim]) @@ -153,26 +152,17 @@ def kronecker_search_march_2026(N, dMax, searchsize, kernel=None, coord_weights= # print(coeff[dim - 1, :], (nK0[dim] - num + 2 * best_wssd)) # debugging line to check the coefficients and wssd at each dimension - # Adapted from Jimmy's code for calculating the discrepancies for n = 1,...,N from SURE 2025 - n_array = np.arange(1, N + 1) + # Adapted from Jimmy's code for calculating the discrepancies for n = 1,...,n_max from SURE 2025 + n_array = np.arange(1, n_max + 1) k_tilde = lambda x, coord_weight: np.prod(1 + kernel(x) * coord_weight, axis=1) - k_tilde_terms = k_tilde(gen_vec * np.arange(N).reshape((N, 1)) - np.floor(gen_vec * np.arange(N).reshape((N, 1))), coord_weights) + k_tilde_terms = k_tilde(gen_vec * np.arange(n_max).reshape((n_max, 1)) - np.floor(gen_vec * np.arange(n_max).reshape((n_max, 1))), coord_weights) left_sum = np.cumsum(k_tilde_terms[1:]) * n_array[1:] right_sum = np.cumsum(n_array[:-1] * k_tilde_terms[1:]) k_tilde_zero_terms = k_tilde_terms[0] * n_array - summation = np.zeros(N) + summation = np.zeros(n_max) summation[1:] = left_sum - right_sum discrepancies = (k_tilde_zero_terms + 2 * summation) / (n_array ** 2) - 1 - return gen_vec, best_wssd, discrepancies, coeff - - -# quick and dirty test -# start = time.time() -# a, wssd, _, _ = kronecker_search_march_2026(2**10, 20, 50) -# print(a) -# print(wssd) -# end = time.time() -# print("Run time (seconds): ", end - start) + return gen_vec, best_wssd, discrepancies, coeff \ No newline at end of file diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 1c953ac53..0f416a4d0 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -1,25 +1,68 @@ import numpy as np -# I am not sure where the best place to put this is, will ask Aleksi - -def lattice_vector_wssd_search(N, d, kernel,coord_weights): - if kernel is None: +def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): + """ + CBC search method for finding a lattice rule minimizing the WSSD. + Args: + n_max (int): The maximum number of points the lattice rule is optimized for. + d_max (int): The dimension of the lattice rule. + coord_weights (array-like, optional): The coordinate weights used to compute the discrepancy. Defaults to j^(-2) for j=1,...,d_max. + kernel (callable, optional): The kernel used to compute the discrepancy. Should accept a single argument and return a scalar. Defaults to the second Bernoulli polynomial. + Returns: + gen_vec (array-like): The generating vector of the lattice that minimizes the WSSD. + Time cost: + The time cost of the search is O(d_max * n_max * log(n_max)), though the contribution of d_max is smaller until around d_max = 100. + Note: + Uses sample weights of w_n = n for n = 1,...,n_max when calculating the WSSD. + + Examples: + >>> lattice_vector_wssd_search(n_max = 2**10, d_max = 5) + array([1, 403, 361, 281, 421]) + >>> lattice_vector_wssd_search(n_max = 2**15, d_max = 10) + array([1, 4825, 13541, 15249, 15405, 9909, 7493, 11407, 14819, 10089]) + + Custom coordinate weights + + >>> lattice_vector_wssd_search(n_max = 2**15, d_max = 10, coord_weights = [j**(-1) for j in range(1, 6)]) + array([1, 4825, 13541, 15249, 7311, 10339, 5933, 6307, 14729, 13037]) + + Custom kernels + + >>> bernoulli6 = lambda x: x**6 - 3 * x**5 + 5 / 2 * x**4 - 1 / 2 * x**2 + 1 / 42 + >>> lattice_vector_wssd_search(n_max = 2**15, d_max = 10, coord_weights = None, kernel = bernoulli6) + array([1, 1635, 6875, 8665, 8531, 1361, 11771, 10987, 2805, 9961]) + """ + + if kernel == None: kernel = lambda x: x * (x - 1) + 1 / 6 # default kernel is the second Bernoulli polynomial if coord_weights is None: - coord_weights = np.array([j**(-2) for j in range(1, d + 1)], dtype=np.float64) # default coordinate weights are j^(-2) - - m = np.ceil(np.log2(N)).astype(int) + coord_weights = np.array([j**(-2) for j in range(1, d_max + 1)], dtype=np.float64) # default coordinate weights are j^(-2) + + if not callable(kernel): + raise ValueError("kernel must be a callable function") + if not isinstance(coord_weights, (list, np.ndarray)): + raise ValueError("coord_weights must be array-like") + if not isinstance(n_max, int) or not isinstance(d_max, int): + raise ValueError("n_max and d_max must be integers") + + if len(coord_weights) < d_max: + raise ValueError("coord_weights must have length at least d_max") + if n_max < 3: + raise ValueError("n_max must be at least 3") + if d_max < 1: + raise ValueError("d_max must be at least 1") + + m = np.ceil(np.log2(n_max)).astype(int) # ---------------------------------------------------------------------- # Set up rhovector # ---------------------------------------------------------------------- - bits = np.zeros((N, m), dtype=int) - for i in range(N): - # 2*bitget(i,1:m) in MATLAB + bits = np.zeros((n_max, m), dtype=int) + for i in range(n_max): bits[i, :] = 2 * np.array([((i >> j) & 1) for j in range(m)], dtype=int) - cumsumbits = np.cumsum(bits, axis=0) # N x m - rhovector = np.dot((1.0 / np.arange(1, N + 1)), cumsumbits) # 1 x m + cumsumbits = np.cumsum(bits, axis=0) # n_max x m + rhovector = np.dot((1.0 / np.arange(1, n_max + 1)), cumsumbits) # 1 x m rhovectorNx1 = np.zeros((2**m - 1, 1)) rIdx1 = 0 @@ -80,10 +123,10 @@ def lattice_vector_wssd_search(N, d, kernel,coord_weights): # ---------------------------------------------------------------------- # Begin search # ---------------------------------------------------------------------- - h = np.ones(d, dtype=int) + gen_vec = np.ones(d_max, dtype=int) - for hComp in range(2, d + 1): - WSSD = np.zeros(2**(m - 2)) + for hComp in range(2, d_max + 1): + wssd = np.zeros(2**(m - 2)) gamma = coord_weights[hComp - 1] omega = lambda x: 1 + gamma * (x * (x - 1) + 1 / 6) @@ -104,30 +147,28 @@ def lattice_vector_wssd_search(N, d, kernel,coord_weights): wVector = 2 * np.fft.ifft(np.fft.fft(fftCol) * np.fft.fft(pCol)).real numrep = 2**(m - l) - WSSD = WSSD + np.tile(wVector, numrep) + wssd = wssd + np.tile(wVector, numrep) curIdx2 = nextIdx2 + 1 prodIdx1 = prodIdx2 + 2**(l - 2) + 1 - WSSD = WSSD + omega(1 / 2) * prodV[-1, 0] - WSSD = WSSD + N * k0 - N * (N + 1) / 2 + wssd = wssd + omega(1 / 2) * prodV[-1, 0] + wssd = wssd + n_max * k0 - n_max * (n_max + 1) / 2 - bestIdx = int(np.argmin(WSSD)) - bestWSSD = float(WSSD[bestIdx]) + bestIdx = int(np.argmin(wssd)) newH = int(gR[bestIdx]) # Avoid duplicates - while newH in h: - WSSD[bestIdx] = np.inf - bestIdx = int(np.argmin(WSSD)) - bestWSSD = float(WSSD[bestIdx]) + while newH in gen_vec: + wssd[bestIdx] = np.inf + bestIdx = int(np.argmin(wssd)) newH = int(gR[bestIdx]) - h[hComp - 1] = newH + gen_vec[hComp - 1] = newH rowV = (newH * rowVects) % 2**m rowV = rowV / 2**m rowV = omega(rowV) prodV = prodV * rowV[:, None] - return h \ No newline at end of file + return gen_vec \ No newline at end of file From dea6e2c5bcbc76f175e814f2e41d672709c9da95 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Tue, 28 Jul 2026 16:55:16 -0500 Subject: [PATCH 21/36] Updated docs to match new kronecker search name --- docs/api/discrete_distributions.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/docs/api/discrete_distributions.md b/docs/api/discrete_distributions.md index e6d90d456..f769e8d56 100644 --- a/docs/api/discrete_distributions.md +++ b/docs/api/discrete_distributions.md @@ -44,9 +44,9 @@ jupyter: ::: qmcpy.discrete_distribution.kronecker.Kronecker -## `kronecker_search_march_2026` +## `kronecker_vector_search_mobius_transform` -::: qmcpy.discrete_distribution.kronecker.kronecker_search_methods.kronecker_search_march_2026 +::: qmcpy.discrete_distribution.kronecker.kronecker_search_methods.kronecker_vector_search_mobius_transform ## `IIDStdUniform` From fe041c427987226bc9f4590463fda727ad605607 Mon Sep 17 00:00:00 2001 From: AndersPride Date: Tue, 28 Jul 2026 16:59:04 -0500 Subject: [PATCH 22/36] Potential fix for pull request finding 'Testing equality to None' Changed == None to is None Co-authored-by: Copilot Autofix powered by AI <223894421+github-code-quality[bot]@users.noreply.github.com> --- .../discrete_distribution/lattice/lattice_vector_wssd_search.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 0f416a4d0..99300b7b0 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -33,7 +33,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): array([1, 1635, 6875, 8665, 8531, 1361, 11771, 10987, 2805, 9961]) """ - if kernel == None: + if kernel is None: kernel = lambda x: x * (x - 1) + 1 / 6 # default kernel is the second Bernoulli polynomial if coord_weights is None: coord_weights = np.array([j**(-2) for j in range(1, d_max + 1)], dtype=np.float64) # default coordinate weights are j^(-2) From c98da32ac31d5ca2ba79681bf720f5b2eb99bbad Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Sat, 8 Aug 2026 18:19:44 +0800 Subject: [PATCH 23/36] Fix test failures --- .../booktests/tb_lattice_kronecker_methods.py | 7 ++- test/test_dd_lattice_kronecker.py | 59 +++++++++++-------- 2 files changed, 39 insertions(+), 27 deletions(-) diff --git a/test/booktests/tb_lattice_kronecker_methods.py b/test/booktests/tb_lattice_kronecker_methods.py index 421ef956e..5164e63a2 100644 --- a/test/booktests/tb_lattice_kronecker_methods.py +++ b/test/booktests/tb_lattice_kronecker_methods.py @@ -7,9 +7,10 @@ class NotebookTests(BaseNotebookTest): def test_lattice_kronecker_methods_notebook(self): # Keep enough lattice candidates for the reduced dimension: dim <= n / 4. replacements = { - "dim = 64": "dim = 8", - "n = 2**20": "n = 2**5", - "searchsize = 25": "searchsize = 4", + "dim = 100": "dim = 8", + "dim = 20": "dim = 8", + "n = 2**15": "n = 2**5", + "searchsize = 20": "searchsize = 4", } self.run_notebook( "../../demos/lattice_kronecker_methods.ipynb", diff --git a/test/test_dd_lattice_kronecker.py b/test/test_dd_lattice_kronecker.py index 3f98b7b64..a16690826 100644 --- a/test/test_dd_lattice_kronecker.py +++ b/test/test_dd_lattice_kronecker.py @@ -5,7 +5,7 @@ from qmcpy import ( Kronecker, Lattice, - kronecker_search_march_2026, + kronecker_vector_search_mobius_transform, lattice_vector_wssd_search, ) @@ -81,7 +81,10 @@ def test_lattice_validation(self): def test_lattice_vector_search(self): default = lattice_vector_wssd_search(16, 4, None, None) explicit = lattice_vector_wssd_search( - 16, 4, _bernoulli_two, np.array([1.0, 0.25, 1 / 9, 1 / 16]) + n_max=16, + d_max=4, + coord_weights=np.array([1.0, 0.25, 1 / 9, 1 / 16]), + kernel=_bernoulli_two, ) npt.assert_array_equal(default, np.array([1, 5, 3, 7])) npt.assert_array_equal(explicit, default) @@ -125,22 +128,23 @@ def test_kronecker_discrepancy_and_wssd(self): atol=5e-14, ) - def test_anders_cbc_fallback(self): - kronecker = Kronecker(3, generating_vector="ANDERS_CBC", randomize=False) - assert kronecker.gen_vec_source == "ANDERS_CBC" - assert kronecker.gen_vec.shape == (1, 3) and np.isfinite(kronecker.gen_vec).all() + def test_cbc_mobius_fallback(self): + kronecker = Kronecker(3, generating_vector="CBC_MT", randomize=False) + assert kronecker.gen_vec_source == "CBC_MT" + assert kronecker.gen_vec.shape == (1, 3) + assert np.isfinite(kronecker.gen_vec).all() - with pytest.warns(RuntimeWarning, match="ANDERS_CBC.*dimension <= 100"): - fallback = Kronecker( - 101, generating_vector="ANDERS_CBC", randomize=False - ) + with pytest.warns(RuntimeWarning, match="CBC_MT.*dimension <= 100"): + fallback = Kronecker(101, generating_vector="CBC_MT", randomize=False) assert fallback.gen_vec_source == "RICHTMYER" assert fallback.gen_vec.shape == (1, 101) def test_kronecker_search(self): n = 8 - vector, wssd, discrepancies, coefficients = kronecker_search_march_2026( - N=n, dMax=3, searchsize=3 + vector, wssd, discrepancies, coefficients = ( + kronecker_vector_search_mobius_transform( + n_max=n, d_max=3, searchsize=3 + ) ) assert vector.shape == (3,) and discrepancies.shape == (n,) assert coefficients.shape == (2, 4) @@ -159,13 +163,15 @@ def test_kronecker_search(self): atol=5e-15, ) - vector, wssd, discrepancies, coefficients = kronecker_search_march_2026( - N=n, - dMax=3, - searchsize=3, - kernel=_bernoulli_two, - coord_weights=coord_weights, - gen_vec_init=1.25, + vector, wssd, discrepancies, coefficients = ( + kronecker_vector_search_mobius_transform( + n_max=n, + d_max=3, + searchsize=3, + kernel=_bernoulli_two, + coord_weights=coord_weights, + gen_vec_init=1.25, + ) ) assert vector[0] == pytest.approx(0.25) and coefficients.shape == (2, 4) npt.assert_allclose( @@ -175,15 +181,20 @@ def test_kronecker_search(self): @pytest.mark.parametrize( ("kwargs", "message"), [ - ({"N": 8, "dMax": 2, "searchsize": 1}, "searchsize"), - ({"N": 1, "dMax": 2, "searchsize": 2}, "N must"), - ({"N": 8, "dMax": 0, "searchsize": 2}, "dMax"), + ({"n_max": 8, "d_max": 2, "searchsize": 1}, "searchsize"), + ({"n_max": 1, "d_max": 2, "searchsize": 2}, "n_max must"), + ({"n_max": 8, "d_max": 0, "searchsize": 2}, "d_max"), ( - {"N": 8, "dMax": 3, "searchsize": 2, "coord_weights": np.ones(2)}, + { + "n_max": 8, + "d_max": 3, + "searchsize": 2, + "coord_weights": np.ones(2), + }, "coord_weights", ), ], ) def test_kronecker_search_validation(self, kwargs, message): with pytest.raises(ValueError, match=message): - kronecker_search_march_2026(**kwargs) + kronecker_vector_search_mobius_transform(**kwargs) From 9874b968a4e51463f0c18c99e0075c65836dedce Mon Sep 17 00:00:00 2001 From: sou-cheng-choi Date: Sat, 8 Aug 2026 18:35:10 +0800 Subject: [PATCH 24/36] Fix doc tests --- .../lattice/lattice_vector_wssd_search.py | 21 ++++++++++++------- 1 file changed, 13 insertions(+), 8 deletions(-) diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 99300b7b0..cbca41913 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -3,6 +3,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): """ CBC search method for finding a lattice rule minimizing the WSSD. + Args: n_max (int): The maximum number of points the lattice rule is optimized for. d_max (int): The dimension of the lattice rule. @@ -10,27 +11,31 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): kernel (callable, optional): The kernel used to compute the discrepancy. Should accept a single argument and return a scalar. Defaults to the second Bernoulli polynomial. Returns: gen_vec (array-like): The generating vector of the lattice that minimizes the WSSD. + Time cost: The time cost of the search is O(d_max * n_max * log(n_max)), though the contribution of d_max is smaller until around d_max = 100. Note: Uses sample weights of w_n = n for n = 1,...,n_max when calculating the WSSD. Examples: - >>> lattice_vector_wssd_search(n_max = 2**10, d_max = 5) - array([1, 403, 361, 281, 421]) - >>> lattice_vector_wssd_search(n_max = 2**15, d_max = 10) - array([1, 4825, 13541, 15249, 15405, 9909, 7493, 11407, 14819, 10089]) + >>> lattice_vector_wssd_search(n_max=2**10, d_max=5) + array([ 1, 403, 361, 281, 421]) + >>> lattice_vector_wssd_search(n_max=2**15, d_max=10) + array([ 1, 4825, 13541, 15249, 15405, 9909, 7493, 11407, 14819, + 10089]) Custom coordinate weights - >>> lattice_vector_wssd_search(n_max = 2**15, d_max = 10, coord_weights = [j**(-1) for j in range(1, 6)]) - array([1, 4825, 13541, 15249, 7311, 10339, 5933, 6307, 14729, 13037]) + >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=[j**(-1) for j in range(1, 11)]) + array([ 1, 4825, 13541, 15249, 7311, 10339, 5933, 6307, 14729, + 13037]) Custom kernels >>> bernoulli6 = lambda x: x**6 - 3 * x**5 + 5 / 2 * x**4 - 1 / 2 * x**2 + 1 / 42 - >>> lattice_vector_wssd_search(n_max = 2**15, d_max = 10, coord_weights = None, kernel = bernoulli6) - array([1, 1635, 6875, 8665, 8531, 1361, 11771, 10987, 2805, 9961]) + >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) + array([ 1, 1635, 6875, 8665, 8531, 1361, 11771, 10987, 2805, + 9961]) """ if kernel is None: From 24e21959b4ca84c6ff50fa672e8fdd4cc2c66cc2 Mon Sep 17 00:00:00 2001 From: AndersPride Date: Mon, 24 Aug 2026 19:18:19 -0500 Subject: [PATCH 25/36] Apply select Copilot suggestions from code review Co-authored-by: Copilot Autofix powered by AI <175728472+Copilot@users.noreply.github.com> --- .../kronecker/kronecker_search_methods.py | 2 ++ qmcpy/discrete_distribution/lattice/lattice.py | 4 ++-- .../lattice/lattice_vector_wssd_search.py | 5 ++--- 3 files changed, 6 insertions(+), 5 deletions(-) diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index b4ef4b77c..d316869a0 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -46,6 +46,8 @@ def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=No # define coordinate weights if not provided, default to j^(-2) if coord_weights is None: coord_weights = np.array([j**(-2) for j in range(1, d_max + 1)], dtype=np.float64) + else: + coord_weights = np.asarray(coord_weights, dtype=np.float64) # search over the first n primes, n = searchsize searchspace = np.array(list(sympy.primerange(1, sympy.prime(searchsize)+1)), dtype=np.float64) diff --git a/qmcpy/discrete_distribution/lattice/lattice.py b/qmcpy/discrete_distribution/lattice/lattice.py index 3018a06bf..5cc170f9b 100644 --- a/qmcpy/discrete_distribution/lattice/lattice.py +++ b/qmcpy/discrete_distribution/lattice/lattice.py @@ -446,9 +446,9 @@ def expected_squared_periodic_discrepancies(self, n_max, coord_weights=None, ker def wssd(self, n_max, coord_weights=None, sample_weights=None): - """Returns the weighted sum of the expected squared periodic discrepancies for the first n points of the lattice sequence. + """Returns the weighted sum of the expected squared periodic discrepancies for the first n_max points of the lattice sequence. Args: - n (int): Number of points to calculate the weighted squared periodic discrepancy for. + n_max (int): Number of points to calculate the weighted squared periodic discrepancy for. coord_weights (Union[None, np.ndarray]): Coordinate weights for the discrepancy calculation. If None, uses weights gamma_j = j^(-2). sample_weights (Union[None, np.ndarray]): Sample weights for the weighted squared periodic discrepancy calculation. If None, uses weights w_n = n. Note that the time cost may be higher for other sample weights. Returns: diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index cbca41913..26c0b78b3 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -119,7 +119,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): # Initial 1D case rowV = rowVects / 2**m - rowV = 1 + kernel(rowV) + rowV = 1 + coord_weights[0] * kernel(rowV) prodV = prodV * rowV[:, None] # Set up k0 @@ -134,8 +134,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): wssd = np.zeros(2**(m - 2)) gamma = coord_weights[hComp - 1] - omega = lambda x: 1 + gamma * (x * (x - 1) + 1 / 6) - + omega = lambda x: 1 + gamma * kernel(x) k0 = k0 * (1 + gamma * kernel(0)) curIdx2 = 0 From 0a6bc4e1b32577d96374172fb935414e68040689 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 24 Aug 2026 19:25:53 -0500 Subject: [PATCH 26/36] Addresses issues in lattice.py raised by Copilot: Improved docstring consistency Fixed two instances where a previous approach was not properly updated --- qmcpy/discrete_distribution/lattice/lattice.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/qmcpy/discrete_distribution/lattice/lattice.py b/qmcpy/discrete_distribution/lattice/lattice.py index 3018a06bf..890dec409 100644 --- a/qmcpy/discrete_distribution/lattice/lattice.py +++ b/qmcpy/discrete_distribution/lattice/lattice.py @@ -441,7 +441,7 @@ def expected_squared_periodic_discrepancies(self, n_max, coord_weights=None, ker freq_mtx[:,i] = freq_mtx[:,i] * (i + 1)**(-2) # multiply by the frequency matrix and add the constant vector - discs = k_const + np.vecmat(k_sum, freq_mtx) + discs = k_const + (k_sum @ freq_mtx) return discs @@ -457,7 +457,7 @@ def wssd(self, n_max, coord_weights=None, sample_weights=None): if coord_weights is not None and len(coord_weights) < self.d: raise ValueError("Length of coord_weights must be greater than or equal to the dimension of the lattice") if sample_weights is not None and len(sample_weights) < n_max: - raise ValueError("Length of sample_weights must be equal to n_max") + raise ValueError("Length of sample_weights must be at least n_max") if sample_weights is None: sample_weights = np.arange(1, n_max + 1, dtype=np.float64) From f223ce76eede51e50c4d1d4a0272b45370060b52 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 24 Aug 2026 22:06:31 -0500 Subject: [PATCH 27/36] Addresses sympy dependency and vector placement - Adds exception handling for import sympy. Prompts user to install sympy or choose to use the slower, recursive implementation instead. - Removes kuo.lattice-39102-1024-1048576.3600.txt file from demos and replaces it with a .npy file in the lattice\generating_vectors folder, like the other Kuo vector. Also edits lattice.py to accommodate this. Changes the demo notebook to use this vector, fairer comparison. - Adds the kronecker vector .txt file to pyproject.toml so that it is included in the package. --- demos/kuo.lattice-39102-1024-1048576.3600.txt | 3600 ----------------- demos/lattice_kronecker_methods.ipynb | 34 +- pyproject.toml | 1 + .../kronecker/kronecker_search_methods.py | 81 +- .../kuo.lattice-39102-1024-1048576.3600.npy | Bin 0 -> 28880 bytes .../discrete_distribution/lattice/lattice.py | 11 + 6 files changed, 102 insertions(+), 3625 deletions(-) delete mode 100644 demos/kuo.lattice-39102-1024-1048576.3600.txt create mode 100644 qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.npy diff --git a/demos/kuo.lattice-39102-1024-1048576.3600.txt b/demos/kuo.lattice-39102-1024-1048576.3600.txt deleted file mode 100644 index e147de362..000000000 --- a/demos/kuo.lattice-39102-1024-1048576.3600.txt +++ /dev/null @@ -1,3600 +0,0 @@ - 1 1 - 2 433461 - 3 472323 - 4 440637 - 5 231645 - 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[], @@ -47,7 +47,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "17.68626758525142\n" + "63.560193378614166\n" ] } ], @@ -82,7 +82,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "[11.0370278]\n" + "[39.95402303]\n" ] } ], @@ -127,7 +127,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 0.17128682136535645\n", + "Time taken for lattice vector wssd search: 0.1646568775177002\n", "Searched lattice vector: [ 1 4825 13541 15249 15405 9909 7493 11407 14819 10089 3683 3347\n", " 13789 8837 5309 6307 6447 12103 9097 2767]\n" ] @@ -164,11 +164,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for kronecker vector wssd search: 5.96858549118042\n", + "Time taken for kronecker vector wssd search: 4.109135389328003\n", "Searched Kronecker vector: [0.61803399 0.26774665 0.91444648 0.22708655 0.12137476 0.71267465\n", " 0.69787961 0.10230792 0.18609503 0.31195642 0.41561801 0.13176115\n", " 0.22004561 0.56882224 0.1079203 0.10500649 0.16477572 0.85934099\n", - " 0.79691446 0.21233239]\n" + " 0.20308554 0.43452109]\n" ] } ], @@ -197,13 +197,23 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "9f66d72b", "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "text/plain": [ + "Text(0, 0.5, 'Periodic Discrepancy')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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" ] @@ -213,13 +223,13 @@ } ], "source": [ - "lat1 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=\"kuo.lattice-33002-1024-1048576.9125.txt\", m_max=20) # initialize a lattice with the generating vector of all 1s\n", + "lat1 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=\"kuo.lattice-39102-1024-1048576.3600.txt\", m_max=20)\n", "lat_discs1 = lat1.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", "\n", - "\n", - "lat2 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=np.uint64(searched_lattice_vector), m_max=20) # initialize a lattice with the searched lattice vector\n", + "lat2 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=np.uint64(searched_lattice_vector), m_max=20)\n", "lat_discs2 = lat2.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", "\n", + "# Note that the new lattice rule beats the Kuo lattice rule for low sample sizes, but they are comparable closer to n = 2^20.\n", "\n", "fig, ax = pyplot.subplots(nrows=1, ncols=1, figsize=(12,10))\n", "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs1), label=\"Kuo Lattice Discrepancy\")\n", @@ -249,7 +259,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.13" + "version": "3.12.14" } }, "nbformat": 4, diff --git a/pyproject.toml b/pyproject.toml index 704a112bc..9a273cb9a 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -164,6 +164,7 @@ includes = [ "qmcpy", "qmcpy/discrete_distribution/digital_net_b2/generating_matrices/*.npy", "qmcpy/discrete_distribution/lattice/generating_vectors/*.npy", + "qmcpy/discrete_distribution/kronecker/generating_vectors/*.txt", "qmcpy/util/qmcpy.mplstyle", ] excludes = [] diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index d316869a0..be4e4fc52 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -1,9 +1,10 @@ import numpy as np -import sympy def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=None, coord_weights=None, gen_vec_init=None): """ - CBC search method for finding a generating vector for a Kronecker sequence, minimizing the weighted sum of squared discrepancies (WSSD). + Note that the sympy package is highly recommended for this search method, though not required. + + A deterministic CBC search method for finding a generating vector for a Kronecker sequence, minimizing the weighted sum of squared discrepancies (WSSD). - The first component is gen_vec_init, defaults to the golden ratio. - We use a modified mobius transformation f(x) = (a*x + b)/(c*x + d) where a, c are distinct primes and b, d are the two pairs of the smallest positive integers such that |a*d - b*c| = 1. - Each subsequent component is found by performing the mobius transformation on the previous component, searching over all pairs of distinct primes from the first searchsize many primes. @@ -23,7 +24,7 @@ def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=No Time cost: The time cost of the search is O(searchsize^2 * d_max * n_max). Approach: - Uses the quadratic Bernoulli polynomial kernel to conduct a CBC search for a generating vector, minimizing the weighted sum of squared discrepancies (wssd) with sample weights w_n = n. + Conducts a deterministic CBC search for a generating vector, minimizing the weighted sum of squared discrepancies (wssd) with sample weights w_n = n. Details on coeff array: The coeff array is a (d_max-1) x 4 array where each row corresponds to a dimension from 2 to d_max. The columns correspond to the coefficients of the linear transformation used to compute the gen_vec component for that dimension. Specifically, - gen_vec[dim+1] = (coeff[dim, 0] * gen_vec[dim] + coeff[dim, 1]) / (coeff[dim, 2] * gen_vec[dim] + coeff[dim, 3]) @@ -49,9 +50,52 @@ def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=No else: coord_weights = np.asarray(coord_weights, dtype=np.float64) - # search over the first n primes, n = searchsize - searchspace = np.array(list(sympy.primerange(1, sympy.prime(searchsize)+1)), dtype=np.float64) + # use sympy if it's already installed, otherwise uses slower and recursive direct implementation + try: + import sympy + except ImportError: + print("While not required, installing the sympy package is recommended for this search method. It is used to compute the Bezout coefficients for the linear transformation used in the search. If sympy is not installed, the search will use a recursive and likely slower implementation of the Euclidean algorithm instead.") + response = input("Do you want to continue without sympy? (y/n): ") + if response.lower() != 'y': + raise ImportError("Please install sympy and try again.") + else: + has_sympy = False + print("Continuing without sympy. This may take longer.") + else: + has_sympy = True + if has_sympy: + # search over the first n primes, n = searchsize + searchspace = np.array(list(sympy.primerange(1, sympy.prime(searchsize)+1)), dtype=np.float64) + else: + def get_primes(n): + primes = [] + num = 2 + while len(primes) < n: + is_prime = True + for p in primes: + if p * p > num: + break + if num % p == 0: + is_prime = False + break + if is_prime: + primes.append(num) + num += 1 + return primes + + # search over the first n primes, n = searchsize + searchspace = np.array(get_primes(searchsize), dtype=np.float64) + + # we define this method here for convenience, to use in computing Bezout coefficients if necessary + def recursive_euclidean_algorithm(a, b): + if b == 0: + return 1, 0, a + x1, y1, gcd = recursive_euclidean_algorithm(b, a % b) + x = y1 + y = x1 - (a // b) * y1 + return x, y, gcd + # gen_vec is our generating vector, will be found cbc gen_vec = np.zeros(d_max, dtype=np.float64) @@ -73,14 +117,25 @@ def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=No # precompute Bezout coefficients for all pairs of primes in the search space bezoutCoeffs = np.zeros((searchsize, searchsize)) - for i in range(searchsize - 1): - a = searchspace[i] - for j in range(i + 1, searchsize): - c = searchspace[j] - # Use sympy.gcdex to get Bezout coefficients - d_coeff, b_coeff, _ = sympy.gcdex(int(a), int(c)) - bezoutCoeffs[i, j] = np.float64(b_coeff) - bezoutCoeffs[j, i] = np.float64(d_coeff) + if has_sympy: + from sympy.core.intfunc import igcdex + for i in range(searchsize - 1): + a = searchspace[i] + for j in range(i + 1, searchsize): + c = searchspace[j] + # Use sympy.igcdex to get Bezout coefficients + d_coeff, b_coeff, _ = igcdex(int(a), int(c)) + bezoutCoeffs[i, j] = np.float64(b_coeff) + bezoutCoeffs[j, i] = np.float64(d_coeff) + else: + for i in range(searchsize - 1): + a = searchspace[i] + for j in range(i + 1, searchsize): + c = searchspace[j] + # Use the recursive Euclidean algorithm to get Bezout coefficients + d_coeff, b_coeff, _ = recursive_euclidean_algorithm(int(a), int(c)) + bezoutCoeffs[i, j] = np.float64(b_coeff) + bezoutCoeffs[j, i] = np.float64(d_coeff) # setting up some useful variables for the search diff --git a/qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.npy b/qmcpy/discrete_distribution/lattice/generating_vectors/kuo.lattice-39102-1024-1048576.3600.npy new file mode 100644 index 0000000000000000000000000000000000000000..40fe8cb4e7afc28cde25e3f12b78f19b40ba4993 GIT binary patch literal 28880 zcmXw>aUkVY`v3P^P19r~Nmi0HnVTfZPO{RhF?Te3lO#!2w^?H*=_ctWEBQ&1ZdSU< z&RR_}=8l!Mk|t|485tupk<&Gv}P=c|Y%SKA+Dy=XuV# z>^CRH-IDTOzu5MR0>jRX-1G+xzrMt9z4bc7m6sTHWk2}PgFEgwXFs?zby7a|)agH$ zH(ztc&vN#kSOmGQ`MDf?EA=s-P|n&-d2I{w;6IQpv*7KRqTHAOZrN|an`lEez5!0* zd+0?sP(Eg*z5K4ze)hY(9s9W~_?9)$-swaA{B!8_q$2&NsjuHcd2|qc^SAJd`OnX= zzZf}Ax%36}I?qD}H(_u14!xE4;WeIyzU^Mhd%r>Y{)hU)EbN>Yf-`X$vMzx3;C}FI 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zqw<}b6%VCozhSx>yAhoeh3ff~J_)boYk8jO*C6MWPw>*csdVui4FktRd4S37_+8LE zu(XNs3{>9UTfdWy(|edZt8tiuw{(m3s|)o#ri6e~9)n(h?rDV_ zpx+@w_^mhdd`g?>N1pcIz4NrEX?_@vqgi z5xDNpF%0l!Vk zFR#3gU&mS4dEAfe(Y=}zpWv@R`@s3rX|H|^yZk?a=kgKb<^D(Xvy}g@)BY@X2kn-p z8E=n^=yyst^+v_nCoZJCp!d`7LhyrhPbFXX7&2}ZU)?{NdYbX5NJ1_?2#)_J_=|iF zzTt|Gt3HM2Ts3;_7htzm@wDY){1z#{Q>MIFvG%i(XVV_2a|JIy{Ma<#Eh9ARu*f(Y|4#OYQpQ!!l`JIh)-6CAwld-=`KfLnM&(=LtuUhcBG{5E@MQ@}M z9_gRSpY{pv4cHf-k6xqB|3|mLr(5^1vVOvU_cO@mR_snrX*@4P*8dA>d>pyPj$TGA ze$%u+OFoVI-VXdk9z;4v8JFbS@KcgZeeylnuPPrEqqw&+1sqc@GX7)6Ikt=P(COeL zzYm|vcNm8gpMqzv1b;~1d64G!xvOZ8I)Z+i_Mx>`QXan^yv+&dd3=bRN}~S%1K7=6 A{Qv*} literal 0 HcmV?d00001 diff --git a/qmcpy/discrete_distribution/lattice/lattice.py b/qmcpy/discrete_distribution/lattice/lattice.py index c9284b85b..5db8d591f 100644 --- a/qmcpy/discrete_distribution/lattice/lattice.py +++ b/qmcpy/discrete_distribution/lattice/lattice.py @@ -187,6 +187,17 @@ def __init__( )[None, :] d_limit = 9125 n_limit = 1048576 + elif ( + isinstance(generating_vector, str) + and generating_vector == "kuo.lattice-39102-1024-1048576.3600.txt" + ): + self.gen_vec_source = generating_vector + gen_vec = np.load( + dirname(abspath(__file__)) + + "/generating_vectors/kuo.lattice-39102-1024-1048576.3600.npy" + )[None, :] + d_limit = 3600 + n_limit = 1048576 elif isinstance(generating_vector, str): self.gen_vec_source = generating_vector assert generating_vector[-4:] == ".txt" From 8b341338fde9688669ddbddc155f070a3d7f5dd6 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Tue, 25 Aug 2026 18:54:57 -0500 Subject: [PATCH 28/36] Significantly improves speed of lattice discrepancies -New approach in getting the squared discrepancy values for n=1,...,N is nearly an order of magnitude faster for large N, with help from Claude. -Also includes a fix to a doctest for lattice_vector_wssd_search. --- demos/lattice_kronecker_methods.ipynb | 8 +++---- .../discrete_distribution/lattice/lattice.py | 23 +++++++++++-------- .../lattice/lattice_vector_wssd_search.py | 3 +-- 3 files changed, 18 insertions(+), 16 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index 7287b212c..941bd9fb0 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -47,7 +47,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "63.560193378614166\n" + "63.560193378767764\n" ] } ], @@ -127,7 +127,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 0.1646568775177002\n", + "Time taken for lattice vector wssd search: 0.16274404525756836\n", "Searched lattice vector: [ 1 4825 13541 15249 15405 9909 7493 11407 14819 10089 3683 3347\n", " 13789 8837 5309 6307 6447 12103 9097 2767]\n" ] @@ -164,7 +164,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for kronecker vector wssd search: 4.109135389328003\n", + "Time taken for kronecker vector wssd search: 3.8035733699798584\n", "Searched Kronecker vector: [0.61803399 0.26774665 0.91444648 0.22708655 0.12137476 0.71267465\n", " 0.69787961 0.10230792 0.18609503 0.31195642 0.41561801 0.13176115\n", " 0.22004561 0.56882224 0.1079203 0.10500649 0.16477572 0.85934099\n", @@ -197,7 +197,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "9f66d72b", "metadata": {}, "outputs": [ diff --git a/qmcpy/discrete_distribution/lattice/lattice.py b/qmcpy/discrete_distribution/lattice/lattice.py index 5db8d591f..8124542bc 100644 --- a/qmcpy/discrete_distribution/lattice/lattice.py +++ b/qmcpy/discrete_distribution/lattice/lattice.py @@ -440,16 +440,19 @@ def expected_squared_periodic_discrepancies(self, n_max, coord_weights=None, ker for i in range(k_sum.size): k_sum[i] = np.sum(k_vector[2**i:(2**(i+1))]) - # get the frequency matrix for how often each kernel evaluation appears (this is always the same and can be precomputed, not done here to avoid adding >1GB txt file to git) - freq_mtx = np.zeros((k_sum.size, n_max), dtype=np.float64) - for i in range(1,n_max): - for j in range(k_sum.size): - if np.floor(i / 2**j) % 2 == 1: - freq_mtx[j, i] = freq_mtx[j, i-1] + 2 - else: - freq_mtx[j, i] = freq_mtx[j, i-1] - for i in range(n_max): - freq_mtx[:,i] = freq_mtx[:,i] * (i + 1)**(-2) + # get the frequency matrix for how often each kernel evaluation appears + # this is always the same and can be precomputed, but for values of n_max large enough to matter (~ 2^25) + # the precomputed file is >1GB and would take longer to load than to compute + i = np.arange(2**k_sum.size) + pattern = np.zeros((k_sum.size, 2**k_sum.size), dtype=np.float64) # start with the pattern for the full power of two + for l in range(k_sum.size): + pattern[l] = ((i >> (l)) & 1) * 2 + + # truncate the matrix to the correct size, get the cumsum and divide by the square of the index + pattern = pattern[:, :n_max] + freq_mtx = np.cumsum(pattern, axis=1) + divisor = np.arange(1, n_max + 1) ** 2 + freq_mtx /= divisor # multiply by the frequency matrix and add the constant vector discs = k_const + (k_sum @ freq_mtx) diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 26c0b78b3..32aeb4398 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -34,8 +34,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): >>> bernoulli6 = lambda x: x**6 - 3 * x**5 + 5 / 2 * x**4 - 1 / 2 * x**2 + 1 / 42 >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) - array([ 1, 1635, 6875, 8665, 8531, 1361, 11771, 10987, 2805, - 9961]) + array([ 1, 12589, 15515, 3957, 1879, 8985, 15139, 9529, 7363, 6089]) """ if kernel is None: From 86bae718124e747fe36d333829addd8e26f0e944 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Tue, 25 Aug 2026 20:08:47 -0500 Subject: [PATCH 29/36] Potential fix to doctest error in lattice search --- .../lattice/lattice_vector_wssd_search.py | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 32aeb4398..ce41f80b2 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -158,13 +158,19 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): wssd = wssd + omega(1 / 2) * prodV[-1, 0] wssd = wssd + n_max * k0 - n_max * (n_max + 1) / 2 - bestIdx = int(np.argmin(wssd)) + # Choose the best candidate, using the smallest index in case of ties to avoid different platforms providing different outputs + min_wssd = np.min(wssd) + rtol = 1e-15 + best_indices = np.where(np.abs(wssd - min_wssd) <= rtol * np.abs(min_wssd))[0] + bestIdx = int(best_indices[0]) newH = int(gR[bestIdx]) # Avoid duplicates while newH in gen_vec: wssd[bestIdx] = np.inf - bestIdx = int(np.argmin(wssd)) + min_wssd = np.min(wssd) + best_indices = np.where(np.abs(wssd - min_wssd) <= rtol * np.abs(min_wssd))[0] + bestIdx = int(best_indices[0]) newH = int(gR[bestIdx]) gen_vec[hComp - 1] = newH From aee995838f774c82745a4f9764d8cdb17fad925e Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 31 Aug 2026 10:48:07 -0500 Subject: [PATCH 30/36] Potential fix for test failures --- demos/lattice_kronecker_methods.ipynb | 25 +++++++++++-------- .../lattice/lattice_vector_wssd_search.py | 14 +++-------- 2 files changed, 18 insertions(+), 21 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index 941bd9fb0..f84060c4d 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -47,7 +47,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "63.560193378767764\n" + "63.56019337916131\n" ] } ], @@ -119,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 25, "id": "524e3b99", "metadata": {}, "outputs": [ @@ -127,7 +127,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 0.16274404525756836\n", + "Time taken for lattice vector wssd search: 0.22767972946166992\n", "Searched lattice vector: [ 1 4825 13541 15249 15405 9909 7493 11407 14819 10089 3683 3347\n", " 13789 8837 5309 6307 6447 12103 9097 2767]\n" ] @@ -139,8 +139,11 @@ "dim = 20\n", "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)])\n", "\n", + "bernoulli2 = lambda x: x * (x - 1) + 1 / 6\n", + "bernoulli6 = lambda x: x**6 - 3 * x**5 + 5 / 2 * x**4 - 1 / 2 * x**2 + 1 / 42\n", + "\n", "time_start = time()\n", - "searched_lattice_vector = lattice_vector_wssd_search(n_max = n, d_max = dim, kernel = lambda x: x * (x - 1) + 1 / 6, coord_weights = coord_weights) # search for a lattice vector with low wssd\n", + "searched_lattice_vector = lattice_vector_wssd_search(n_max=n, d_max=dim, kernel=bernoulli2, coord_weights=coord_weights) # search for a lattice vector with low wssd\n", "time_end = time()\n", "print(\"Time taken for lattice vector wssd search: \", time_end - time_start)\n", "print(\"Searched lattice vector: \", searched_lattice_vector)" @@ -156,7 +159,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "id": "09388fbc", "metadata": {}, "outputs": [ @@ -164,11 +167,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for kronecker vector wssd search: 3.8035733699798584\n", + "Time taken for kronecker vector wssd search: 8.094721794128418\n", "Searched Kronecker vector: [0.61803399 0.26774665 0.91444648 0.22708655 0.12137476 0.71267465\n", " 0.69787961 0.10230792 0.18609503 0.31195642 0.41561801 0.13176115\n", - " 0.22004561 0.56882224 0.1079203 0.10500649 0.16477572 0.85934099\n", - " 0.20308554 0.43452109]\n" + " 0.22004561 0.56882224 0.8920797 0.79690426 0.54748361 0.74175085\n", + " 0.42012299 0.41261152]\n" ] } ], @@ -197,7 +200,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 26, "id": "9f66d72b", "metadata": {}, "outputs": [ @@ -207,13 +210,13 @@ "Text(0, 0.5, 'Periodic Discrepancy')" ] }, - "execution_count": 6, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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nWLlyJRUqVCA5OZl+/fqxfft28uTJk61YBw4cmG59up2dHTNnzmT+/PkEBATg6Ohoa/ffHB0d2b59OzVq1MDJyYkpU6bwzTff2M537NiRDRs2kD9/flxcXJg+fToTJkyga9eutjqlS5fm9ddfT9Ouj48PAwcOtCXl9vb2zJs3j2nTpuHu7k7hwoVZvHhxmn+GAFq0aAFwWxsp3iqTcbuLOR5yUVFReHp6EhkZmemGECIiIiIiD6KEhAROnTpF8eLF04xei9yv5s6dS7du3YiJicnpUGw+/vhjZsyYkW6pQFZu9PeX3TxUU+5FREREREREbtLWrVtZuHAhY8aMYdKkSTkSgxJ6EREREREReSBkNFU+p8TGxpKUlMQvv/xCp06dciQGTbnPRFBQEEFBQaSmpnL06FFNuRcRERGRh46m3IvknDsx5V6b4mWif//+HDx4kG3btuV0KCIiIiIiIiLpKKEXEREREREReQApoRcRERERERF5ACmhFxEREREREXkAKaEXEREREREReQApoX9InLx6kmRLck6HISIiIiIid0FsbCz79+/P6TBs7rd4cisl9A+BsLgwui9+gReXdCckOiSnwxERERERuasSEhLYv38/Z8+eTXfuxIkTXLp06Z7GkZiYeMttxMTEcODAgSzL/v77bypVqnTL98mOa/3Zv38/Bw8e5MyZMyQlJWVY917EI1lTQv8Q2HtmG8mJV9l7eR9d5ndh6emlOR2SiIiIiMhds3//fipVqkTlypW5cuVKmnNPPPEE48aNu6dxHDt27Jbb2LBhA1WqVMmyLE+ePFSoUOGW75Md1/rTuXNnunbtSuPGjfH09KRJkyYsX778nscjWVNC/xDwC0tmRkgYVRISiU2JZdC6QXy46UPikuNyOjQRERERkbvG3t6e4cOHZ1nPMAxOnTpFWFhYunMHDx4kJibGdhwaGsrhw4fT1Dlw4ACxsbE3HV9iYqJtxPvYsWPpRrsTEhI4c+YMgK3eqVOn0pWdP3+eSpUq8dtvv2XYtzNnzhAeHp5hDDfqe2bmzJlji+XixYs0adKENm3aMHXqVFudzOK5ePEi586dyzSWjGKNjo7m0KFDAERGRnLo0KE0sx7i4+M5fvw48fHx6doMDQ0lJMQ6SzkiIiLDWRthYWG2zzI4OBjDMG7YztWrVwkNDc2wD2D9vR0/fjxNjFeuXOHIkSPp6kZERNj6djcooX8IVGr4GImtfuGr83H0uhqJyTD489ifPL3oaY6Ep/+HSkRERETkYTB06FC+++47Tp06lWmdOXPmULhwYRo0aEBgYCDVqlVLs/b76aefZtKkSbbjp556igoVKhAREQHA8ePHqVixou34ZgQHB/P000/z9NNP06ZNGzw9PXnjjTdsCeWJEyf4/PPPSU1NtdX7+uuv05VNmTIlwynus2fPpkiRIlStWpVy5crRuXNnrl69mu2+Z4eHhwfDhg2jb9++DBw4kISEBCD9lPuTJ09StWpVypcvT7169ShTpgwbNmzIVqyrVq2iRo0avP766xQrVownn3yS4OBgUlNTGTRoEH5+frRs2ZJ8+fLxwgsvpPly5d1336Vbt27Ur1+fChUqULZsWerVq5dm2cWcOXNsn2WdOnXw9/dn9uzZafr57rvv8vzzz9O4cWMqVapE+fLlqVGjBhcvXrTVSUlJ4e233yZv3rw0adKEgIAAvvjiC1v/y5cvb/sy5pqBAwfyxhtv3NRnfjOU0D8kytVuQUK3JTx+1YUfL1zCJ8XCqchTPLvoWWYcnpHht1AiIiIiIukYBiTF3vufW/j/1Y4dO1K7dm3ee++9DM/v2LGD7t27M23aNEJCQrh06RJt2rShS5cuJCdbN5Ru3Lgxa9euBawjwdu2baNo0aKsX78egLVr11KyZEkKFSp00/GVKlXKNjJ8/PhxDhw4wB9//MGvv/4KQIUKFfj++++xs7Oz1Rs7dmy6sqFDh6Zre8uWLXTt2pXBgwcTERHBpUuX6N69uy2hzE7fb8bzzz/PlStX2LZtW4bn33//fUqVKkVYWBhnzpxh2bJlHD16NFuxgvWzj46Oto2mlypViuHDh7Ny5UqOHDnCyZMnCQ4O5vjx47z//vtp7r1u3Tpeeuklzp07x4ULF7BYLGmS6N69e9s+y3PnzvHNN9/QvXv3NMk6wPr163n77bcJDg7m3LlzpKSkMGLECNv5Dz/8kGnTprFhwwaCg4M5f/68Lc+qVasWlStX5qeffrLVj4mJ4ffff6dHjx43/Xlnl/1da1nuucKlKhHebzWePzzB7NAjvOvrywY3+GzLZ2w+t5mPH/kYTyfPnA5TRERERO5nyXHwWYF7f9+h58DR7aYvGzlyJI8++ihvvfUW1apVS3Pu22+/5dFHH6VAgQIcOnQIwzDo3Lkzn3/+OYcOHaJy5co0btyYnj17YrFY2LhxIyVKlKBDhw6sWbOGxx57jLVr19K4cePb6lpcXBznzp0jISGBhg0bsnLlSp577rnbajMoKIhHHnmE/v3728o6depke5+dvt+MIkWKANimpf9XTEwMPj4+2NnZAVC8eHGKFy+erViv+eyzz7C3t6aohmHwzTffMHToUKKiooiMjMQwDB577DEmTJjAmDFjbNeVK1eOXr16AeDp6cmHH35I+/btmTBhAu7u7rZ6V65c4dKlS1SoUAFXV1c2b97MY489ZjvfqFEj2rZtC1j3COjYsaNtloHFYiEoKIhhw4ZRvXp1AJydnRk8eLDt+p49ezJ69GiGDRuGyWRi1qxZODo6ZtjXO0UJ/UMmr19BXAes5GDQM3x3aT2/eLgz2icvq4NXc2D+AUY0GEHNgJo5HaaIiIiIyB1Rr149OnbsyDvvvJNu47ZDhw5x8uRJunTpkqa8QoUKtunejRo14urVq+zZs8eWvDdu3JghQ4YA1tHfzz///JZii46Opnv37ixatIiAgADc3d25ePFiui8ebsWRI0eoV69epuez0/ebcW39v5OTU4bnhw4dyuOPP06ZMmVo2bIlbdu2pU2bNphMpixjBWtyHBAQYDu+ePEiV65c4bvvvmPy5Mlp6np6ph2kDAwMTHNcoUIFLBYLJ0+epEqVKmzdupWXX36Z06dPExAQgJOTU4br5AsUSPtFlpubG9HR0bZ4rl69esPfXbdu3Rg0aBCrV6+mWbNmTJ48mWeffTbTz+xOUEKfiaCgIIKCgkhNTc3pUG6as2seqg6Yy5Yf+vP8xRnUSEjgtYBiXIy7yMvLX6ZP5T70rtwbe7N+/SIiIiLyHw6u1tHynLjvLfr888+pWLEiK1asSFPu6OhI+/bt0yWE/+bj40PFihVZu3Yta9eu5bXXXqNBgwYcOnSILVu2EBIScssj9J9++imnTp3i3Llz+Pj4APDKK6/YpqLfDmdnZ+LiMt8EOzt9vxm7d+8GrKPhGalTpw5nzpzh77//ZvXq1fTs2ZMmTZowffr0LGMFbCP7/44fYMyYMXTs2PGG1/53s7xr93Jzs874eOGFF2jXrh0jRozAwcEBsCbvFovlhu3+m7Ozc5q2M+Ll5UWXLl2YPHkyhQsXZuPGjXzzzTfZvset0Br6TPTv35+DBw9mukbkfme2s6Nuv+/ZUm4wZRNTmBd8nAZxzlgMC+P3jOflZS9zIfZCTocpIiIiIvcbk8k69f1e/5hMtxxyuXLl6NGjB++8806avaMeffRRlixZkmYXeyDdbvONGzdm8eLFbN++ncaNG+Pu7k7VqlX56KOPbnn9PMDhw4dp1KiRLZlPTU21rde/xtnZGYvFkia5zKjsvx555BFWrFiRri/X1sdnt+/ZkZyczJdffkn16tXTjYb/u117e3saNGjABx98wNixY/njjz8wDCPLWDOSN29eypcvz6xZszK8179t2bIlTaK9evVqvL29KVq0KKmpqRw7dowOHTrYkvmDBw9y/vz5bPcfwNvbm/Lly7Nw4cIb9qFnz57Mnj2bMWPGUK1atTsyG+NGlNA/5Oo8PYR9j36H2eLAdxeP8uZlMy52Luy8tJMn5j/BqrOrcjpEEREREZHb9uGHH3LkyJE0u7gPHDgQFxcXWrZsyYIFC9i0aRNBQUHpnvHeuHFjVq5cScmSJfHz87OVLVmyJFuj88ePH7dtunbtJykpiUceeYQZM2Ywb9481q9fzzPPPJPumfWlS5fGbDYzefJk2yPqMir7rzfffJPU1FQ6dOjAsmXLWLlyJc8884xtQDK7fb9Rf7Zu3crkyZOpW7cuZ8+e5Zdffsn0mscee4xPPvmE9evXs379en788Ufq16+PyWTKMtbMfPXVV/z+++/079+f9evXs3z5ct555x369u2bpl5UVBRPPfUU69evZ9q0abz77rsMHjwYBwcH7OzsqFu3LsOHD2fTpk3MmzePzp07p5sRkB0jR45k0qRJDBkyhE2bNjFz5kxatGiRpk6jRo0oUqQIEyZMuKub4V2jOde5QNUWz3LUpwA+81+gR/RpqsTnY3jZ8hyPO80ba97gqbJPMajWIJzs7t7aDhERERGRO8XFxYUKFSqkWZtcoEAB3n//fX755Rf8/f0B63T6rVu3Mnr0aEaMGIHJZKJ69eosWbIkTXuNGjWiYsWKadabt2nThsWLF9OuXbss48hol/0lS5bw5ptvkpCQwBdffIHJZKJp06Z89NFHaR6zV7BgQSZPnsxPP/3E2LFjeeaZZxg6dGi6sqZNm1KhQgXbdfny5WPr1q2MGDGC999/Hx8fH3r06EH9+vVvqu+Z9cdkMuHq6kqxYsXo2bMn3bp1S7PBXJ48edLE8+uvv/L111/z/vvvYxgG9erV4+23385WrB4eHhmO/Ldq1YpNmzYxduxYBgwYgK+vLy1atODDDz9MU69r167Url2b4cOHEx0dzbBhw9Lscj9z5kzef/99XnvtNXx8fPjoo4/49ddfbTMnAAoVKpRuuXW+fPkoVaqU7bh9+/asXr2asWPH8tprr1GuXDnGjx+fLu7nnnuOzz777LY3PswOk6Hnmd1QVFQUnp6eREZG4uHhkdPh3JZzpw6T8vPjFLGEEm648GW1ziyMtO7aWNq7NKMajqKEV4kcjlJERERE7pWEhAROnTpF8eLFbWuERR4kL774IikpKTecPXCvderUCVdXV9vjCTNzo7+/7OahmnKfixQoXg7P/ms46FiJvKZ4Pt41kzdd25DXOS/HIo7x1MKn+PPon3pmvYiIiIiIyE06efIkv/76K4sWLWLgwIH35J5K6HMZTx9/Sg5Yznb3ZjiYUulxYAJDYqtQL39dElIT+PDvDxm0fhBRSVE5HaqIiIiIiMgNFSpUiMKFC+d0GAC8//77jB07lu+//54aNWrck3tqyn0WHqYp9/9mSU1ly6Q3qXduKgBbvFqzt3Ezvts7nhQjhYJ5CjKiwQiq+lXN2UBFRERE5K7RlHuRnKMp93LLzHZ21Os9ji0VhpFimKlzdSl1l/zKd4+Oo2CegoTGhPLi0heZuG8iFiP7z2cUERERERGRe0MJfS5X58mBHGj8A3GGE5USdxHwS3+Cqn9Bm2JtSDVSGbtzLL1X9CYsLiynQxUREREREZF/UUIvVGnyJOcen00Y3hS3nMF9aid6ez3Gx/U/xsXehS3nt9BlQRf+Cvkrp0MVERERERGRfyihFwBKVXmU1B4rOG0ugh/h5J/9OCVDUvmt/W+U9S5LeEI4r6x6hZHbRpKUmpTT4YqIiIiIiOR6SujFJqBIabxfXcN+p6q4mRIIXNuLyyvmMr3ddJ4t9ywAPx/8mW6Lu3Em6kwORysiIiIiIpK7KaGXNDy9fSkzYBnbPFthb7JQe/9H7Jz8NoNrvcM3Tb/By8mLQ+GH6LqgKwtOLMjpcEVERERERHItJfSSjqOTMzVf/42/C/cCoF7oT+z4+knq5avNHx3+oKZ/TeJS4hi6YShD/hpCbHJsDkcsIiIiIvLgGTBgAK+99lpOh5FGREQEhQoV4uDBgzkdimSDEnrJkMlspt7Lo9ha5ROSDTtqRq3k+JiWOCeamdhyIv2r9sdsMrPw5EK6LujKgSsHcjpkEREREckl9u7dS6FChThy5IitLDk5me7du1OjRg1OnTqVg9FlX3h4OOHh4Xf9PqmpqRQqVIhChQpRuHBhypQpQ+PGjRkyZAgnTpxIVzc0NJSkJO2b9SBQQi83VLvzaxxuNoVow4UKSfu4+m1jLp45Rt8qfZnSagoBbgGcjT5Lt8XdmHpgqp5ZLyIiIiJ3XVJSEqGhoSQnJwMQFxdHx44dWb9+Pb/99hvFixfP4QjvL4ZhEBoayjvvvMPff//NkiVLGDJkCCdPnqRixYrMnj3bVjdv3rwEBwdToUKFHIxYsksJvWSpUsPHuNx1HhfxoaglBKepLTm6cx3V/avzR4c/aFakGSmWFEZtH0X/Vf25En8lp0MWERERkVwiIiKC5s2bExwczMaNGyldujQAy5Yto2zZsixevJhHH32UokWL2kb0p02bRv369SlZsiStW7dmw4YNadocMGAA/fv3Z8SIEdSrV49KlSoxdOhQ2xcI16xYsYJWrVpRqlQpmjRpwq+//pouvhUrVtCmTRtKlSpF27Zt2bZtW6Z9OXLkCFWqVGHkyJEAREVFMWjQICpVqkSlSpXo2bMn58+ft9UPCQmhUKFCzJ8/n9atW1OiRAnmzJmTafve3t4UKlSIkiVL0qpVK2bOnEnv3r158cUXuXLF+v/wkZGR1K1bl2PHjtmuGzt2LHXq1KF8+fI899xznDx50nYuKiqKd955hypVqlC5cmWGDRtmG92/UXz79u2ja9eulC5dmnr16vHFF1+QkpJia3fSpEk0b96cyZMn06hRI0qXLk3fvn2Jioqy1Vm1apVt5kGZMmXo2LEjW7ZsSdPna+388ssvNG3alPLly/Pyyy+nmxmxf/9+nn76acqUKUPDhg35888/ATh//jxFihRh165daerPnz+fMmXKEB8fn+nnfU8YkqFvv/3WKF++vFGmTBkDMCIjI3M6pBx3MeSkcfzjKobxgYcROyyfsWv5dMMwDMNisRgzD880avxcw6j4U0Wj8czGxqbQTTkbrIiIiIhkKT4+3jh48KARHx9vK7NYLEZsUuw9/7FYLNmOe9u2bQZgLFu2zKhYsaJRr149Izw8PE2dOXPmGCaTyahevbqxbt06Izg42EhOTjZ+/vlnw9XV1Zg0aZKxf/9+Y+jQoYaDg4Nx8OBB27Xdu3c3zGaz8dprrxn79u0zli1bZvj6+hqjR49O076Pj48xbdo048iRI8bcuXMNf39/Y9KkSbY6v//+u+Ho6Gh8+umnxv79+42lS5carVq1SnOf5557zjAMw9i+fbuRL18+48MPPzQMwzCSkpKMOnXqGE888YSxdetWY//+/cbLL79slC5d2vb7OnXqlAEYhQoVMubOnWucOXPGiI2NTfd5JScnG4Dx888/pzsXEhJiAMbUqVMNwzCMsLAwAzB27dplGIZh/PLLL4avr6+xZMkS4+jRo8bMmTONrl27GoZhGImJiUbNmjWNGjVqGCtXrjT27t1rfPzxx8aECRNuGN+BAwcMT09PY+TIkcbBgweNdevWGVWqVDFeffVVW1xfffWVYTabjbp16xqbN282/vrrL6NSpUpG586dbXXi4+ON4OBgIzg42Dh06JDx2WefGa6ursaZM2fStdOuXTtj+/btxtatW41KlSoZzz//vK3O3r17DTc3N6Nv377Gjh07jL/++st44oknjLNnzxqGYRhNmzY1+vfvn+Zza9u2rdGtW7d0n+fNyOjv75rIyMhs5aEmwzCMnPs64f4XFRWFp6cnkZGReHh45HQ4OS4mKoKT33WhcsJ2Ug0T2wMHU+epwQAcizjGoHWDOBF5AhMmelTsQf9q/XEwO+Rw1CIiIiKSkYSEBE6dOkXx4sVxdnYGIC45jjq/1rnnsWx5dguuDq7Zqrt9+3Zq1aqFh4cHFStWZMWKFbi6pr127ty5dO7cmT179lC5cmVbealSpXj66acZPny4raxJkyYUKlSIn3/+GYAXX3yRnTt3snfvXludN998k8OHD7NkyRIAypcvz6uvvsorr7xiq/Pdd9/x/fff264rXbo07du356uvvrLVsVgsmM1m231SUlLo0aMHjz/+OJ999pmtvZkzZ/Lmm29y9uxZ7O3tgetr4YOCgnj88cc5ffo0xYsXZ+rUqbzwwguZfl4pKSk4ODjw888/061bt3Tn8+bNyyuvvMLw4cO5fPky+fLlY9euXVStWpXBgwezf/9+Fi5cmK4P06dPp1evXpw4cYL8+fOnO59ZfM888wzu7u788MMPtrJNmzbRqFEjYmNjcXR05Ouvv2bAgAEcO3aMkiVLArBjxw5q1qzJwYMHKV++fIZ9bdq0KW3atGHQoEEAfP311wwdOpSLFy/i7u4OwNSpUxk8eLBttsOTTz7J5cuXWbNmTZq2rvXjt99+45VXXuH8+fM4OTlx7tw5ihQpwooVK2jSpEmmn3tWMvr7uya7eaim3MtNyePhTfkBi9nq3R47k0GdQ5+zeXxfLKmplPYuzYz2M3iyzJMYGEzaP4kXl7xISHRIToctIiIiIg+h6tWrs2fPnnTTrK9xcHCgYsWKtuPY2FhOnDhBw4YN09Rr3Lgxe/bsSVP23zXk/v7+XL58GbBO8z98+DAff/wxxYoVo2jRohQpUoQPPviA48ePA3D58mWOHz9Oq1at0rRzLZm/ZsuWLbRr147vvvsuzZcDmzZtIjw8nFKlStnaL168OFeuXLHd49+fw+2wt7cnNTU1w3MdO3Zk9erVPPfcc/z222+EhYXZ+vD3339TuXLlNMl8Rn38b3ybNm3ijz/+SPPZdenShZSUFE6fPm2rlz9/flsyD1CjRg1cXV3Zt28fYN0IceTIkTzyyCMUL16cQoUKsXnz5jRtABQtWtSWzEPa3+W1fvz39/TvfnTu3Bmz2czcuXMB65KNokWL0rhx4ww/s3vJPqcDkAePg6MTtV79mc3T3qPu6SDqXpzBzq9CCXxlBi6ueRhWbxh189flw78/ZO/lvTy54Ek+qPcBrYu3zunQRURERCQLLvYubHk24wT5bt/3Zo0bN46goCDatWvHggULaNasWZrzjo6OaZLLxMREAJycnNLUc3Jysp27xs7OLt39rk1uTkhIAOCrr76iQYMGaeqYTCYA23rw/97rv3x9fYmJiWHLli08++yztvKEhAQqVaqU4Zp4T0/PNMf/Hd29GVFRUVy5coXChQtneL5+/frs37+fWbNmMXnyZF588UVeeeUVxowZQ0pKSpb9yyi+hIQE+vfvT58+fdLVDQgIsL13dHRMd97BwcH2u3r//feZPXs2o0ePpkyZMri5udGrV6+b+l0CWfbDycmJbt26MXnyZJ566immTJnCSy+9ZPtd5yQl9HJLTGYzdV/8jO0LilJ5+xCqx6zn8Fct8O89G+98+WlZrCUVfSvyzvp32B22m0HrB/H3+b95p9Y72Z5KJSIiIiL3nslkemD+f81kMjF+/Hjs7e1p37498+bNo2XLlpnWz5s3L76+vuzZs4dGjRrZynft2kWZMmWyfV9/f398fHw4dOgQzzzzzA3rbNu27YbTskuWLMnkyZNtdcaOHQtYZwjMmDEDd3f3dAn8nTR16lRMJhOtW2c++FaiRAkGDx7M4MGD+euvv2jYsCH9+vUjMDCQ33//nfj4eFxcsv+FTIUKFdizZw+FChW6Yb3Q0FDCw8PJmzcvAGfPniUyMtK28eHy5cvp168fHTp0AKxJ+okTJyhYsGC2YwEIDAy84WaFAL169aJy5crMmDGD48eP071795u6x92iKfdyW2p26MOxlj8ThRvlkg8S+10TQo7vB6BAngJMaT2F3pV7Y8LE7GOzeXrR0xwJP5JFqyIiIiIi2WMymfj222/p27cvHTt2tK1xz8yrr77Kl19+yeHDhwFYtGgRs2fP5rXXXsv2Pc1mM2+99RZjxoxhwYIFGIZBSkoKa9as4dNPP7XF9cYbbzBy5EjWrVsHWKfqDxkyJF175cuXZ82aNcycOZM33ngDgOeff548efKk2YH+0qVLDBs2zBb77YiMjGTcuHG8/fbbDBkyhBIlSmRYb/To0SxZssS2w//Zs2exs7PD29ubbt26YW9vT79+/YiJicEwDFauXJnmMXgZGTRoEAsXLmTs2LGkpKRgGAZ79+7l9ddfT1MvOTmZgQMHkpSURFxcHK+//jrVqlWjTh3rHg+FChVi9erVJCYmkpKSwgcffJBmd/7sGjBgALNmzeLnn3/GYrEQHx/PqFGjCA0NtdWpUKECtWvXpnfv3rRo0SLTGQ33mhJ6uW0VHmlHxNMLOWfyo5BxHrdf2nB420oA7M32vFrtVSa2nIifix+nIk/x7KJnmXF4BtqPUURERETulK+++opXX32Vzp07p9nA7b8GDx5Mhw4dqFatGh4eHrzwwguMGjWKFi1a3NT93nnnHT744AN69epFnjx58Pb25rPPPksz0j106FBeffVVOnXqhIeHB2XLlqVYsWIZtle+fHlWr17NjBkzePPNN/H29mbNmjXExMQQEBCAt7c3VapUwcnJieLFi99UrNe89tprFCpUCD8/PwoUKMDs2bOZNm0an3zySabXtGrVim+//Za8efPi7e3N0KFDmT59Or6+vuTNm5eVK1dy7NgxvLy88Pb25ssvv6RWrVo3jKNNmzbMnDmToKAg3Nzc8PT0pHv37jRv3jxNvVKlSmFvb4+/vz/e3t6cPHmSX3/91TbVfeTIkZw6dQpvb288PT3ZtGnTLa1rb9++PZMnT2bo0KHkyZOHAgUKEBYWhr+/f5p6vXr1IiYmhh49etz0Pe4W7XKfBe1yn32XL5wl4sfOlE49ToLhwMF6o6je+kXb+YiECN7f+D7rQqzfUDYp3ISP63+Ml7NXzgQsIiIiksvdaJft+1lycjIXL14kICDAtgP8NaGhodjb2+Pp6Ul4eDgFChTIsI2kpCSuXr2Kr69vuk3cIiIiAOtz26+Jjo4mPj4ePz+/NHUNw+DKlSt4enri4JDx051SU1OJiIjA19c3y/tERUURFRVF/vz5bWu/4+PjSUhISFPvWrvnz59PUzczISHWjapNJhPOzs54eXlleI3FYuHcuXP4+/un6U9SUhLx8fGZTv+Pjo7GbDbj5uZ2U/FFRETg5OSU7ikFX3/9NRMnTmT//v1YLBYiIiLw8fHJtA1HR0fc3NwIDw/HZDLZPquYmBhiY2PTJOeJiYlcvnw5w6n5ly9fxtvbO8N4J02axDvvvENoaGi29g7Iyp3Y5V4JfRaU0N+cuJhIjn73FFXj/sZimNhaZgB1nnkP0z//kjQMg+mHpjNmxxiSLcn4u/ozosEIagbUzOHIRURERHKfBzWhl4ffvxP6+0FCQgK1atWiY8eOtmUVd6JNPbZO7iuueTypNGAhW3wfx2wyqHtsNFvH9yL1n10+TSYT3QK7Mb3tdIp5FONi3EVeXv4y3+3+jhRLSg5HLyIiIiIiktaQIUPw8/PD0dGRd955J6fDSUMj9FnQCP2tMSwWtvz6EXWPfw3ALtf6lOs/Cxe3689/jEuO47MtnzHvxDwAqvtV54uGXxDgFpBRkyIiIiJyh2mEXu5XGU2VzylXr14lKSkp3XKL26URerlvmcxm6nb7iB21vybRcKBa3CaCv2rK5QvBtjquDq4Mf3Q4IxqMwM3BjZ2XdvLE/CdYdXZVDkYuIiIiIiI5LU+ePPdFMg/g5eV1x5P5O0UJvdxVNdq+xKm2vxKBO2VSjpI0oRlnjuxOU6ddiXb83v53KvpUJCopijfWvMHwzcNJSEnImaBFREREREQeAEro5a4rV6clMd2WEGIKoIBxEa8ZbTn4d9rngxb2KMy0NtN4qcJLAMw8MpNnFz/LiasnciJkERERkVxFq3BF7r078XenhF7uicKlKuHabzVH7MvhSSyllnZj+6If09RxsHNgQM0BTGg+gbzOeTkWcYynFz7NH0f/0H9kRERERO6Ca48li4uLy+FIRHKfa393mT3uMDu0KV4WtCnenZUQF8PBoKepHvsXAH+XeI263T6yPdbumsvxl3l3w7tsOrcJgJZFW/JB/Q/wcNTvQEREROROOn/+PFevXsXPzw9XV1dMJlNOhyTyUDMMg7i4OC5duoSXlxf58+dPV0fPob9DlNDfeakpKWz7sT91L/4GwBafx6jRdyL2Do5p6lkMC1MPTGXcznGkGCkUcCvAuKbjKJu3bE6ELSIiIvJQMgyDCxcucPXq1ZwORSRX8fLyIiAgIMMv0ZTQ3yFK6O+ezTM+pfbhLzGbDPY416LkK7+Tx8M7Xb19Yft4e/3bhMSE4GLvwsiGI2lcuPG9D1hERETkIZaamkpycnJOhyGSKzg4OGBnZ5fpeSX0d4gS+rtr1/JfKLfxTVxMSRy3K4nny7PJV6BYunqRiZEMXDeQLee3YMLEWzXf4vnA5zUlTEREREREHjp6Dr08EKq17EbwY78TjgelUk+Q+kMzTh3clq6ep5Mn45uPp0uZLhgYfLn9Sz7e/DHJFn2LLCIiIiIiuZMSeslxZao3Jv6F5Zw1FySAy/jO7MD+v+alq+dgdmBY3WG8VfMtTJj44+gfvLLyFaKSonIgahERERERkZylhF7uCwVLlMez/xoOOlTE3RRP2ZUvsW1uULp6JpOJ7hW6M67pOFzsXdh8fjPdFncjOCo4B6IWERERERHJOUroMxEUFERgYCC1atXK6VByDU8ff0oMWM4O96Y4mFKptXsof09+G8NiSVe3ceHG/NzmZ/xd/TkVeYpnFz/Ljos7ciBqERERERGRnKFN8bKgTfHuPUtqKlsmvkG989MA2ObVhqqvTMXB0Sld3bC4MF5d/SoHrhzA3mzPR/U/omPJjvc6ZBERERERkTtGm+LJA8tsZ0e9Pt+wpcL7pBomal1dwuHRrYi6eiVd3Xyu+ZjSegotirYgxZLCuxveZdzOcViM9KP6IiIiIiIiDxMl9HLfqvPkW+xv9ANxhhOVEncRPq4x+9bPSTcF38XehVGNRtGrUi8Aftz3I2+te4v4lPicCFtEREREROSe0JT7LGjKfc47vmcDXnOew5erABy1L0Ns7dep0uwZzHZ2aerOPzGfDzZ9QIolhQo+Ffim6Tfkc82XA1GLiIiIiIjcGk25l4dGqSqPQt+/2OzXlXjDkTIpR6m2qT9nPq3G9gUTSElOstXtWLIjE1tOxMvJiwNXDvDMomc4En4kB6MXERERERG5OzRCnwWN0N9frlwM4ei8kVQMnYW7yTqlPsQUwLmKfanavh+OTs4AnI06S/9V/TkddRoXexdGNhxJ48KNczByERERERGR7MluHqqEPgtK6O9PkRGXOTj3S8qdmY430QBcxIdTZV+mSsfXcHFzJzIxkoHrBrLl/BZMmBhYcyAvBL6AyWTK4ehFREREREQyp4T+DlFCf3+Li4lk77yxlDg2BT/CAQjHgyPFX6Bip4E4u7vz2ZbP+OPoHwB0KdOFoXWG4mB2yMmwRUREREREMqWE/g5RQv9gSEyIY/eC7yh88AcKGBcBiMKVA4WepmzHQSwIW8Ho7aMxMKiTvw6jG43G08kzh6MWERERERFJTwn9HaKE/sGSkpzErsUT8dvzHUUtwQDEGU7sDXici/Wb8un+UcSnxFPMoxjfNfuOwh6FczhiERERERGRtJTQ3yFK6B9MltRUdq/4GY9t4yiVegKAJMOeeX5N+S5vGJeTruDl5MVXjb+iZkDNHI5WRERERETkOiX0d4gS+gebYbGwd92fOG4aQ/nkgwCcN9vTu2AJTtsnYG+256P6H9GxZMccjlRERERERMRKz6EXAUxmM1WaPEn5d//mYKvf2Otcg/yWFGaFHKN5TBwplhTe3fAu43aOw2JYcjpcERERERGRbNMIfRY0Qv/wObpzHbErv6BK3Ea+9fbkRy/r5nh13SszruNEXOxdcjhCERERERHJzTRCL5KJMtUbUe3txZzpupL6qbX4+NIV7A2DzdF7eXpKPdavnoZh0Wi9iIiIiIjc3zRCnwWN0D/8Qo7vZ83Sd5ngepxIOzP+KSkMuuyKX7U3qdLsGcx2djkdooiIiIiI5CLaFO8OUUKfe+w8uoF3Nr7JBXMCLhYLIy9doWiiH1eq/49qrXtgZ2+f0yGKiIiIiEguoCn3IjepeplH+ePZlVT3qUq82cxr/r6szxNOje2DOP9pRbb++RVJiQk5HaaIiIiIiAighF4kDU8nTya2nUyXMl0wTCZG+Xjzro8//sZ5au/7kMsjKnPu1OGcDlNEREREREQJvch/OZgdGFZ3GG/VfAsTJhZ4OPFciZqcNHtTwLhIzPTnNVIvIiIiIiI5Tgm9SAZMJhPdK3RnXNNxuNi7cMi4xP/Kl+OAvTtlUo6yc9KrOR2iiIiIiIjkckroRW6gceHGTGszDX9Xf4LjQulRJIAx3l4UDP+Tnct+zunwREREREQkF1NCL5KFcnnLMaPdDCr6VCTOSGSKlwftChVg/MnhzN7+C6mW1JwOUUREREREciE9ti4LemydXJNiSWFdyDp+O/Qbmy9stpUHuAbwZNknebz04/i6+OZghCIiIiIi8jDQc+jvECX0kpHth9exbPnLLMnjSKSdHQD2JnuaFW3GU2WfoqZ/TUwmUw5HKSIiIiIiDyIl9HeIEnrJzO6VMyi3sR/L3VyZXKASJ5LP2c6V9CzJk2WfpGPJjrg7uudglCIiIiIi8qBRQn+HKKGXG9n8/SvUvTCdKFzZ/cRkVkdvYfGpxcSnxAPgYu9C2+Jt6Vq2K4E+gTkcrYiIiIiIPAiU0N8hSujlRpKTEjk5siFlUw5z1L4MxQb9RaIpmQUnFjDryCxORJ6w1a3sW5muZbvSqlgrnO2dczBqERERERG5nymhv0OU0EtWLpw9hsvkRngSyxa/J6nzykQADMNgx8UdzDwyk5VnV5JiSQHA08mTx0o+RteyXSnqUTQnQxcRERERkfuQEvo7RAm9ZMfuVb9R9a8+AOyq9w3VWr2Q5vzl+MvMOTaH34/+zvnY87byevnr8VTZp2hUuBH2Zvt7GrOIiIiIiNyflNDfpqCgIIKCgkhNTeXo0aNK6CVL/15PH/3CagqWKJ+uTqollQ2hG/jtyG9sDN2IgfXPz8/Vjy6lu/Bc4HN4OOqfMxERERGR3EwJ/R2iEXrJruSkRE6MbES5lEMcsy9NkbfW4+Tsmmn9kOgQfj/6O3OOzSEiMQKA0t6lmdhyInmd896rsEVERERE5D6T3TzUfA9jEnmoOTg64fXCz1wlD6VTjrFr0ms3rF/IvRBv1niTlU+uZESDEeRzycexiGP0XN6T8ITwexS1iIiIiIg8qJTQi9xBAUVKc7rBaADqhv3OrmVTs7zG0c6RdiXaManVpDRJfURCxN0OV0REREREHmBK6EXusKrNnmZzwHMAlPx7MKEnD2XruuKexZnUahK+Lr5K6kVEREREJEtK6EXugho9vuKwfXk8iCPu1+dJTIjL1nX/TuqPRhyl1/JeXE24eneDFRERERGRB5ISepG74GbX0/9bCc8STGo1CR9nH45EHKHn8p5K6kVEREREJB0l9CJ3ya2sp7+mhGcJJreabEvqe63QSL2IiIiIiKSlhF7kLrrV9fQAJbysI/V5nfNyOPwwvVf0JjIx8m6FKiIiIiIiDxgl9CJ32a2upwco6VWSya0mk9c5L4fCD9FreS8l9SIiIiIiAiihF7nrbmc9PSipFxERERGRjCmhF7kHAoqU5kzDW1tPD9akflLLSUrqRURERETERgm9yD1SpenT/J2/G3Dz6+kBSnmXUlIvIiIiIiI2SuhF7qGaL43hsEPgP+vpu93UenqwJvUTW060JfXaKE9EREREJPdSQi9yD6VdT3+c3ZNevek2SnuXZmLLiXg7eXPwykH6rOhDVFLUXYhWRERERETuZ0roRe6xgMKlbOvp64T9wc6lP910G6W9SzOxlTWpP3DlAL2X91ZSLyIiIiKSyyihF8kB/15PX/oW1tMDlPEuw48tf8TLyYsDVw7QZ7lG6kVEREREchMl9CI55Np6endTPHHTb349PUDZvGWZ2HIiXk5e7L+yn74r+hKdFH0XohURERERkfuNyTAMI6eDuJ9FRUXh6elJZGQkHh4eOR2OPGQuBB/HeVIjvIhhS74u1Ok/KW0Fw4DUJEiKhaQYSIy5/j4p1vb+SPRZeoYu4qolkUr2nkyo9zHuJZrmTKdEREREROS2ZDcPVUKfBSX0crftWf0bVdb3AeCkfUmcSMLZiMfZkoCTEY89qdlq54ijAy8H+BFpZ4dnqoVWBRvSvlpvquarislkuptdEBERERGRO0gJ/R2ihF7uhc0T/kfd8z/fsE6C4UAszsQZztZXnIg1nInDehxrOHPa0WBlgeOEO1z/sy6YpyDtS7SnXYl2FPcsfre7IiIiIiIit0kJ/R2ihF7uBcOSypGN84iMSyDF3pVkO1dSzK4k27v8894Fi9kewzAwDDC49mqdlW8xDAysBxsOh1Dr/Juc8rjMSjc34szXR+cr+lSkfcn2tC7WGh8Xn5zqroiIiIiI3IAS+jtECb08aBKSU+n942oGXXiLknZnWJ23IItL12HTpZ2kGtbp+3YmO+oXqE/7Eu1pUqQJLvYuORy1iIiIiIhco4T+DlFCLw+i8NgkegQtYnTMEEqaz2PxLUvEszNYenEzi04uYt/lfba6rvauNC/anHYl2lEnoA52ZrscjFxERERERJTQ3yFK6OVBdepyLK8EzWWK5V0CTBEYBWth6j4PHN04HXmaRacWsfDEQkJiQmzX5HPJx0sVX+KZcs9gb7bPwehFRERERHIvJfR3iBJ6eZBtPRXOhxP/4Ff7D/EyxULJZvDMb2DvCIBhGOwJ28PCkwtZenopkYmRAJTLW473675P5XyVczJ8EREREZFcSQn9HaKEXh5083aHMnXmLH5x/BxXUyJU7AKP/whmc5p6yanJzDk+h7E7xxKVFIUJE0+WeZLXqr+Gp5NnDkUvIiIiIpL7ZDcPNWd6RkQeCo9VLUjj5u3pl/wGyYYd7P8Dlg62bo//Lw52DnQt25X5nebTsWRHDAxmHZ1Fx7kdWXhyIfruT0RERETk/qKEXiQXeLVpKXyrtmNgcl9rwdYJsP7LDOv6uPjw6aOfMrnVZIp7Fic8IZwhfw2h1/JenIo8dQ+jFhERERGRG1FCL5ILmEwmPn+8EpeKdeCD5O7WwjWfwraJmV5TK6AWf3b4k9eqvYaTnRNbLmzhiflP8M2ub0hISbhHkYuIiIiISGaU0IvkEo72ZiZ0q8lfeR9nbEpnAIxFb8H+2Zle42DnQK/KvZjz2BwaFGxAsiWZH/b+QOd5ndkQuuFehS4iIiIiIhlQQi+Si3i6OvDTi7WZ5vgsv6Q0w4SBMbs3nFh9w+sKuxcmqFkQXzX+Cj9XP0JiQui3sh8D1w7kYuzFexS9iIiIiIj8mxJ6kVymiI8rP3SvxXBeZmFqXUyWZPitG4TsuOF1JpOJ5kWbM7/TfF4IfAE7kx3Lzyyn8/zOHLhy4B5FLyIiIiIi1yihF8mFahT1ZnTX6gxI7sdfqRUhORamd4GwI1le6+bgxqBag5jZfiaBPoFEJ0XTZ0UfjkUcuweRi4iIiIjINUroRXKpdpXz82brSvRJHsAeSwmID4efO8Pl7CXmZfOWZXKryVT2rUxkYqR2wRcRERERuceU0IvkYn0blaBjrdK8mPQ2J4wCEBUKQbXhz15w6XCW17s5uDG+xXjK5S3HlYQr9Fzek5DokHsQuYiIiIiIKKEXycVMJhOfdKpIxdIleC5xCBtN1cGwwL5Z8F0dmNkNzu2+YRsejh5MaDGBkp4luRR3iZ7Le3Ih9sK96YCIiIiISC6mhF4kl3OwMxP0XHU8/IvyXPxbdEr+nENeja0nDy2AHxrB9Cfh7JZM28jrnJcfW/5IEfcihMaE0mt5Ly7HX743HRARERERyaWU0IsIHs4O/PRSbeqV8GF3alHaXOjNY8ZoDudrg2Eyw7HlMLkl/NQeTq4Dw0jXRj7XfExsOZH8bvk5HXWaXst7cTXh6r3vjIiIiIhILmEyjAz+z1xsoqKi8PT0JDIyEg8Pj5wOR+SuMgyDv45d5oulhzlwLgqAKq5X+DL/akqfX2h9xB1AoVrQcBCUbgkmU5o2gqOC6b60O2HxYQT6BDKx5UTcHd3vdVdERERERB5Y2c1DldBnQQm95EYWi8Hi/ecZvfwopy7HAlDDM4aRBdZSIng2ppQEa8WAStB0GJRpmeb6k1dP8tKylwhPCKdqvqpMaDEBVwfXe90NEREREZEHkhL6O0QJveRmyakWft8ewtcrj3IpOhGAuvlSGFFgPUVPzsCUHAuYoOdKKFQzzbVHwo/w0rKXiE6KpnZAbYKaBeFs75wDvRARERERebBkNw/VGnoRyZSDnZln6xRh3aAmDG5TDg9nezaH2dN4T1Ne9JpMROHmgAFrPkt3bdm8ZZnQfAJuDm5svbCVN9e+SVJq0r3vhIiIiIjIQ0oj9FnQCL3IdZFxyXy//gRTNp4iIdlCYdNF1jq9hR2p0GMZFKmb7podF3fQd0VfElITqJqvKq2Lt6ZWQC1KeZXCbNJ3iiIiIiIi/6Up93eIEnqR9C5GJTBu1TF+2xbMJ+YfeNZ+DRRvBN3nZ1j/73N/879V/yPJcn2EPq9zXmr616R2QG1q5a9FcY/imP6zwZ6IiIiISG6khP4OUUIvkrnxa0/w89INrHMegAMp8OIiKPZohnVPR55m5dmVbLuwjV2XdhGfEp/mfD6XfNQKqEWd/HVoU7wNLvYu96ILIiIiIiL3HSX0/4iNjeWJJ54AoEGDBrz77rs3db0SepHMRcYn88iI1byd+iMv2K+Aoo9Yk/osRtqTU5PZd3kfWy9sZduFbey+tDvN6H0FnwqMbz4eb2fvu90FEREREZH7jhL6f6SkpLBy5Uq2bt3K3r17+eOPP27qeiX0Ijf22eJDzF+/jfXOA3AkGV6YByUa31QbiamJ7Lm0h60XtjLzyEyuJl6lhGcJfmjxA/5u/ncncBERERGR+5R2uf+Hvb09rVu3pnr16jkdishDqccjxbli58v0lKbWgjWfwU1+T+hk50Tt/LX5X7X/MbX1VPxc/TgZeZLuS7sTHBV8F6IWEREREXnw5WhCHxkZybfffkvFihWxt7dn3bp16eqkpKQwZMgQChYsiIeHB23atOH48eO28wcOHKB169YZ/lgslnvZHZFcKcDTmU5VC/JdSkeSTI4QvAVOrLrl9kp4lWBam2kUcS9CaEwoLyx9gaMRR+9gxCIiIiIiDwf7nLz5l19+SUREBKNGjaJNmzZkNPv/3XffZerUqcyePZuiRYvy+uuv06JFCw4ePIiLiwsFCxbkjTfeyLB97Zgtcm/0bliC33eEMDW5Bb3sF8HqT6FksyzX0memYJ6CTG0zlT4r+nA04igvLX2J75p/R5V8Ve5w5CIiIiIiD64cTeiHDx8OQEhISIbn4+Pj+fbbb/niiy+oX78+ABMmTCAgIIDff/+dF154AS8vL1q3bn3PYhaR9Er7u9O8vB/fH2pPd4dVOJ7bCUeXQdlb/9v0dfFlcqvJ9F/Vnz1he+i1vBdjm4ylXoF6dzByEREREZEH1329hn737t3ExcXRpEkTW5mPjw9VqlRh06ZN2W7nqaee4oMPPmDDhg20bt2aHTt2ZFo3MTGRqKioND8ikrU+jUpyBU9+Sm1pLVjz6U2vpf8vTydPfmjxA/Xy1yM+JZ7+q/qz6sytT+cXEREREXmY3NcJ/fnz5wHw8/NLU54vXz4uXLiQ7Xb69OnDp59+yk8//cQbb7xB0aJFM637+eef4+npafspXLjwrQUvksvULOpN9SJejE9qS5LZFS7shcOLbrtdVwdXvm32Lc2LNCfZksyAdQOYc2zOHYhYREREROTBdl8n9Jkxm80ZrrfPTNOmTdNslufr65tp3SFDhhAZGWn7CQ7WDtsi2WEymejTqCQRePCT5Z+p9ms/hzuwOaWjnSNfNvqSTqU6YTEsDNs0jD4r+nAk/Mhtty0iIiIi8qC6rxN6f3/r86fDwsLSlF+6dMl27k5zcnLCw8MjzY+IZE+L8v6U8HUjKKE1SXZ54OJ+ODQ/+w0YBlw5keFUfXuzPR/V/4i+Vfpib7Zn07lNPLngSd7f+D4XYy/ewV6IiIiIiDwY7uuEvlq1ari4uKR5nF1ERAR79uyxbZInIvcPs9lE74YliCQPU2lnLVz7OVhSs774ygmY2gG+qQ6znofUlPTtm8z0r9qf+Z3m06pYKwwM5h6fS/s57fl217fEJsfe4R6JiIiIiNy/7uuE3tXVlb59+/Lpp5+ya9curly5Qv/+/fH39+fJJ5/M6fBEJAOdqhUkn7sT42JbkOTgAWGH4cAN1rynpsDGcTD+ETj9l7Xs0AKY90qm0/ULuxdmVKNR/NL2F6r5VSMhNYEJeyfQbnY7Zh2ZRYol/ZcBIiIiIiIPmxxN6KdNm4a9vT3FihUDoFmzZtjb2/Pxxx/b6nzxxRd06dKFZs2akT9/fs6dO8fy5ctxc3PLoahF5EacHex46ZFiROPKdHNHa+HazzMccefCPpjYDFa8DynxxBd6lEVFBmGY7GDvTFg04IY75VfJV4WprafyVeOvKOJehCsJV/hk8yc8u+hZgqO1/4WIiIiIPNxMxs3sLneHGYZBamr6qbhmsxmz+f6YPBAVFYWnpyeRkZFaTy+STZHxydT/fBUkxbDbYyAOSVeh8wSo8rS1QnICrB8JG8eCJQWcPTlV4106byrG1fgUujpt5gvTN5gwoN7/oOVwMJlueM/k1GRmHZ3F+D3jiUyMxN3BnU8f/ZQmRZrc8DoRERERkftNdvPQHM2aTSYT9vb26X7ul2ReRG6Np4sDz9YpQiwuzHJ63Fq4doR1lP7M3/D9o/DXaGsyX74jq5suoNW6IlyNT8HZwcysxLp8YPSxXvf3t7Duiyzv6WDnwHPln+OPDn9QJV8VopOjeW3Na4zZMUZT8EVERETkoaTMORNBQUEEBgZSq1atnA5F5IHU49HiONiZGB72KMnOPhBxCqZ1hCmt4coxyOMPXX9mUsGPeXlOCEkpFpqX92fjO02pWyIv0xIb8rmlu7WxtZ/Dpm+zdd8AtwCmtJ7C84HPAzBl/xR6Lu9JWFxYFleKiIiIiDxYcnTK/YNAU+5Fbt1bv+/hjx0hjCr4F12ujL9+otrzWJp/wvDV55m88RQAz9ctyocdK2BnNhGflMrLU7ex6cQV3nScy+vmWdbr2n8NNV/K9v1XnFnB+xvfJzY5Fh9nH75s9CW1AvQlnYiIiIjc3x6IKfci8nDr3bAEAO+fq01ivsqQrxy8MI+EtmP539yTtmR+cJtyfPyYNZkHcHG0Y1L3Wjxaypevkh7jR+Mxa4ML34Q9M7N9/xZFW/Bbu98o7V2aKwlX6Lm8J9MOTLuznRQRERERySFK6EXkrinj706zcn7EG058GBAE/bcQ4V+fbhO3sHjfBRztzIx9uip9G5XE9J9N71wc7ZjYvSYNSufj08SuTLe0AgyY28/6GLxsTi4q5lmM6W2n07FkRyyGhS+3f8nOizvvQm9FRERERO4tJfQiclf1aVQSgD93hbLjTARPfL+J7Wci8HC2Z9rLtXmsasFMr3V2sOPHF2rSqIwf7yU9zxxLQzBS4fcXYXRZ+KMHbJ8Ml4/dMMF3sXdh+CPD6VyqMwCfbP6E5NTkO9pPEREREZF7TWvos6A19CK3xzAMHh+/iV1nr2IyWfPuAp7O/NSjNmX83bPVRkJyKv1+2cH6IxcY7jiVrvbrsbMkpa2Uxx+KPWr9CewErnnTtROZGEnHuR0JTwjn9eqv07NSzzvQQxERERGROyu7eagS+iwooRe5fUv3X6DvLzsACMzvwZSXauHv4XxTbSSmpPLKLztZdfgSTiRR0/4ELVyPU9d8kFKJh7A3rif4hk8pTP3+BnvHdO0sOLGAoRuG4mTnxJyOcyjsUfj2OiciIiIicocpob9DlNCL3D6LxeC9efutr+0DyeNkf0vtJKak8u6c/SzYc47EFIut3IkkqppOUNd8kBfsl+NjisboMA5Tje7p2jAMg14rerHl/BYeKfAI45uPT7d+X0REREQkJymhv0OU0IvcfywWg/NRCZwKi+XU5RhOXo7l1OVYTobF0jzqT4bZ/0y8WyFcBuwGO4d015+OPM0T858gyZLEyIYjaVO8zb3vhIiIiIhIJrKbh97aMFkuEBQURFBQEKmpqTkdioj8h9lsoqCXCwW9XHi0tG+acyPmeRK2cx75YkMw9s7EVK1buuuLeRajV+VeBO0O4outX/BIwUfwcNQXdiIiIiLyYNEu95no378/Bw8eZNu2bTkdiojchJebVmCK0QGA+NVfQmpKhvV6VOxBMY9iXEm4wtgdY+9liCIiIiIid4QSehF5qORzd8JU62XCjTy4Rp/G2P9nhvUc7RwZVm8YALOOzmL3pd33MEoRERERkdunhF5EHjovNanIVKM9AHErR4Al46UztQJq8VjJxwD4ePPH7L60m20XtrEhdAOrzq5iyaklrDqzisTUxHsWu4iIiIhIdmkNvYg8dHzzOGGp1YvI7fPxjD6JcXAepoqPZ1h3YM2BrAtZx7GIYzy/5PkM61T2rcw3zb4hr3P6Z9uLiIiIiOQUjdCLyEPpxSaVmGa0AyB2xedgsWRYz9vZmw/rf0jBPAUpmKcgJTxLUD5vearkq0LtgNp4OHqw9/Jenl/8PGejzt7LLoiIiIiI3JAeW5cFPbZO5MH11YJtvLy9Ax6meIyu0zAFPnbTbZyKPEW/lf0IjQnF28mbb5t9S+V8le9CtCIiIiIiVtnNQzVCLyIPre5Nq/Ar1mfMRy//HG7h+8vinsX5pe0vBPoEEpEYwcvLXmbN2TV3OlQRERERkZumhF5EHlp53RxJqtmXGMMZj6uHMI4sSV/JkgqHF8OKYRB9IcN2fF18mdJqCo8WfJSE1ATeWPsGMw/PvMvRi4iIiIjcmBJ6EXmoPd+0Gr/RCoCoZZ9eH6WPC4eNY7GMrQq/PQMbxxI/8+VMR/FdHVz5puk3PFH6CSyGheFbhjP/xPx71AsRERERkfSU0GciKCiIwMBAatWqldOhiMht8HZzJLFWX+IMJzwj9mPZPB7m9ccyujysGIY58iwRRh4SDAdcQjZg2fNbpm3Zm+35oN4HvFjhRQA+2PQB2y5su0c9ERERERFJS5viZUGb4ok8+K7GJTH3i5d40bQwTfl+SzGmprZkr1dzWkfP5k3zbyQ4euP8+g5w88m0PYth4Z3177D09FLcHd35pc0vlPAqcbe7ISIiIiK5hDbFExH5h5erI/G1XiHCyEOyYce81Po8kfQho4v9QLsXBrFkYEs8mw/ksKUwzkkRJCx594btmU1mhj86nKr5qhKdFM0rq17hSvyVe9QbERERERErjdBnQSP0Ig+HyLhknh67iOjEFFrVDOT5ukUp5utmO5+SamHQVxP5KmaQtaD7Qije4IZtRiRE8Nzi5wiODqayb2UmtZqEs73z3eyGiIiIiOQC2c1DldBnQQm9yMMjMSUVs8mEg13Gk5N2nAnn0I896Wa/igSP4ji/uhkcbpygn448Tbcl3YhMjKRZkWa8WeNNCrsXxmzSBCgRERERuTVK6O8QJfQiucsHMzfS/+Cz+JmuYmn4DuamQ7O8ZsfFHfRa3otkSzIALvYulPYuTVnvstQOqE2rYq0wmUx3O3QREREReUhoDb2IyC14vX0tvjT3AMD4awyEHc3ymhr+Nfi6yddU8q2Ek50T8Snx7A3by+9Hf2fQ+kH8dOCnuxy1iIiIiORGGqHPgkboRXKfGVvO4L/wBZra7SapYD0cey6BbI6wp1hSOBt1liMRR9hyfgt/HvsTB7MDs9rPopR3qbscuYiIiIg8DDRCLyJyi56qVYTf8r1OnOGEY+jfMO9/EBOWrWvtzfaU8CpBm+Jt+KDeBzQs1JBkSzJDNwy1TckXEREREbkTlNCLiPyH2WzitSeaMSLlWWvB7l8wvqkOG8dBSmK22zGZTHxY70M8HD04FH6IiXsn3qWIRURERCQ3UkIvIpKBigU9sa/bmy6Jw9hrKY4pMQpWvA9BdeDQQsjmaqV8rvl4r+57APyw9wcOXDlwN8MWERERkVxECb2ISCaGti1H67adec70OW8l9+GS4QURp2Dmc/Dbs5Cakq12WhdrTcuiLUkxUnhvw3skpmZ/lF9EREREJDNK6DMRFBREYGAgtWrVyulQRCSH2NuZ6dmgBKveaoKl8rM0ThzDNymdSMIejiyG0+uz1Y7JZOK9uu+R1zkvx68eZ9zOcXc5chERERHJDbTLfRa0y72IXLPtdDjD5h3g+bDRPGu/hqsVu+PVJfvJ+aqzq3hjzRsA9KjYgzeqv6Hn04uIiIhIOtrlXkTkDqtVLC8LX32Us35NALA/ugQslmxf36xIM16v/joAk/dP5r2N72nnexERERG5ZUroRURugp3ZRKHqrYkxnMmTdAnO77qp63tW6snH9T/GzmTH/BPzeXX1q8Qlx92laEVERETkYaaEXkTkJjWuUJi1lioAxO9bcNPXdy7dmbFNxuJs58zG0I28vOxlLsReuNNhioiIiMhDTgm9iMhNKuTtygH3RwFIPnDzCT1Ao8KN+LHlj3g6ebL/yn4en/84i04uQtuaiIiIiEh2KaEXEbkFLhVak2zY4RF9HK6cyLziDdbYV/WryvS206noU5HopGgG/zWYQesHEZkYeRciFhEREZGHjRJ6EZFb8EjF0my2lAcg9dDCDOtsm9CPKx8XY/W8qVgsGY+8F/UoyrS203ilyivYmexYdnoZned15kj4kbsWu4iIiIg8HJTQi4jcgqqFvdhoXweA2D3z0p2/fORvap3/FR8ieXTnm4wLGkPo1fg0dQ6dj2LAzN10+W4LbQq9wPS20ynuWZyw+DA+2/KZpt+LiIiIyA0poRcRuQV2ZhPJpVoD4B62E2LCrp80DGIXvQtAJHlwNKXyv8vD+eqrEczaHsymE5fpPnkrbcb+xexdoewJiWTEksNU8K3Ajy1+xNHsyM5LO9lyYUtOdE1EREREHhBK6EVEblGNypXYYymBCQOOLrGVJxxeRtGoHSQa9uxtM5fosk9gb7LwBWPZPPtbnv1xC+uPXqSsOYRPCm2lr/18Vh8IZl9IJP5u/nQp0wWA73Z/p1F6EREREcmUEnoRkVvUoLQvq4yaAMTu/WfavSWV+H9G5+c4tKN+rZq4P/UjlmrPY2cyGOUwgV8dP+OAWz+WOb7N85e/ZrD9b7xkt5TRK6zr5l+u9DKOZkd2XdrF5vObc6RvIiIiInL/U0IvInKL3J0duFSgGQBOZ9dDYgyW3TPwjjlOpOGK0WAgdmYTmO0wdxgHNV/GbDKob96Pa2o0OLiCXyAAz9uvYP2Ri2w/HY6fqx9Pln0SgM/+Hsvzk7ewN+RqTnVTRERERO5TSuhFRG5D2Uq1OW3xx96SBIcXkbTiEwAmmR6nY90K1yuazdBuNHQYB60+g16rYfBZ66tLXgqZLtPcvIPRy48C8HLFl7E3OXI65gCbQjfR75edRMYn50QXRUREROQ+pYQ+E0FBQQQGBlKrVq2cDkVE7mPNygew3GKddm8sfgvn+AuEGj6k1OqFm5N92somE9ToDvX6Q8EaYOcADi7WMuAl++X8ffIKm45fZsfJFBKu1AbAOd8qQq/GMmTuJg6HH+ZoxFGtrRcRERERTIb+r/CGoqKi8PT0JDIyEg8Pj5wOR0TuQ2+MHM/XcYNtx4NS+jJg0Ifk93TJXgNXg2FsFTBSaZU4gjjvspy/mkCqORKP0l9iIRnDsMNkSrVdUta7LM+Ue4a2JdriYp/N+4iIiIjIAyG7eahG6EVEblNAxQZcNqz/oj1kKUxS4JPZT+YBvApDuXYA9HBYQXB4PCkWg44Vy/Fi3koA15P51Dw4mp04EnGED//+kGa/N2P87vEkp2o6voiIiEhuo4ReROQ2NS1fgF9SmxNvOPJRSndebljq5hup0xeAx+034EkMHasUYEzxbby2Yy5/hpxnaXgygdEjiT76HkViPufZUv0plKcQ0UnRfLfnO55e9DSHrhy6wz0TERERkfuZptxnQVPuRSQrKakWan66kui4BKoX8+X3vvVvvhHDgO8bwMV9XKr7Hvn8C2Ca94r1nIMrJMcRVbU3dXc2Iy7JOlrv5miieLETXHaaSWxKJPYme3pV7sWLFV7E1cH1DvZQRERERO4lTbkXEblH7O3MPFG9EJjtebVp6VtrxGSCOr0B8NsThGn+/6zldfpB12kAeOyZxMyOeWhWzg93Z3tikwz2Hy1BzPE3aFK4GSlGCuP3jKf1n635Ye8PRCVF3YnuiYiIiMh9SiP0WdAIvYhkR6rFICo+GW83x1tvJDkexpSH+AjrcfUXrI+5M5lg5vNwaD4UrgMvLSUVE0cuRNNz6jbORSbw3bPVMLnvYezOsYTGhALg5uDGB/U+oE3xNneghyIiIiJyr2iEXkTkHrIzm24vmQfrI+z+WUtPxS7Q/mtrMg/QegQ4uEHwFtg9HTuzicACHnSoUgCABXvP06Z4GxZ2XsiIBiMo5VWK2ORYhm0cxsmrJ28vLhERERG5LymhFxG5nzQcBH03whMTwWx3vdyzIDQZYn2/4n3Y/D1EhtgS+tWHLxGdkIy92Z52JdrxZ8c/qZ6vDgmpCby9/m2SUpNyoDMiIiIicjcpoRcRuZ+Y7SCg4vWR+X+r0xf8K1mn5C99B76qQIXFnXnBay+JKRZWHLxoq/rH9lDWb2qGnZGHIxFHGLtzrO3c+ZjzxCbH3oveiIiIiMhdpDX0WdAaehG5r8RHwO5f4dACOLsZMEi0c6NC7HgeLZufn16qTURsEk1Gr+VqXDJ2eQ7hWngqAG2Kt2Fv2F5CY0Lxc/Hju+bfUTZv2Zztj4iIiIikozX0IiIPIxdvqNcfeiyFgYfB1Ren1FhqmY+w4dhlwmOT+HL5Ea7GJVPUxxXHxIokhdcFYMmpJbYN8y7FX+LFpS+y5fyWnOyNiIiIiNwGJfQiIg8q9wAo3QKAJz0OkmIx+HLZEWZsPQvAyCcq88MLNTCudCApvD5J4Y8QF/wiMceGQHwJYpJj6LuyL8tOL8vJXoiIiIjILVJCLyLyICvTCoCm5l0AzNh6FsOAx6oWoE4JHxqUzkfQs3WwXH6MxIsdyGeuioeDL9FnXqKc+6OkWFJ4b8N7XIi9kJO9EBEREZFboIReRORBVrIpmO3xijtNEZN1Uzw3RzuGti1vq9Ii0J+N7zRl+3vN2Ty0Ga82LQWGA9HBT1PdrzoJqQmM2T4mp3ogIiIiIrdICb2IyIPM2ROK1AOgR76jALzarDT+eRzg4DyICwfAz8MZ3zxOAHSpUQgnezOHz8fQqUh/zCYzS04vYfuF7QAkpyZzPOI42jNVRERE5P6mhF5E5EH3z7T7Z7wP8n236vRuUALWfQGzXoBfu4LFkqa6l6sj7Stbn1//1wFHnij9BABvrPyQ77fNo9O8TnSe35nxe8bf236IiIiIyE1RQp+JoKAgAgMDqVWrVk6HIiJyY6WtCb1TyN+0Lu2O+eop2PC19VzINtg+Kd0l3eoWAWDh3vPU8nwWLC5Epp4h6OB7nI22bqr3494fORJ+5J50QURERERunhL6TPTv35+DBw+ybdu2nA5FROTGfEuDd3FITYKTa2HJYEhNBLd81vMrP4LI0DSXVC3sRWB+D5JSLPSbdoSESy0BMCz2VHV/nCaFm5BipDBs0zBSLCn3uEMiIiIikh1K6EVEHnQmk23aPas+gmPLwOwALy6CQrUgKRqWvP2fS0x0q1vUdlzHtz1dC31C7ImB7N5bn9eqvIO7ozsHrxzkl4O/3MveiIiIiEg2KaEXEXkYlLaOsHPZujEe9fpDvrLQYSyY7eHwQlg3Eg7MhSNLISaMx6sXpHWFAPo0KsGUF2vzbpPHKOtbhOiEFP7cFs2gmoMA+Hb3t2wK3ZQz/RIRERGRTJkMbWN8Q1FRUXh6ehIZGYmHh0dOhyMikrGURPiiOCTHgkdB6L8VnPJYz636GP4anbZ+3pLw6g7r6P6/rDx4kZ7TtuPsYGbVgEaM2PUOa4PXYm+yZ/ijw2lXot296Y+IiIhILpbdPFQj9CIiDwN7J6jYGTBBmy+uJ/MADd+Gmj2gRBMoUh/sHCH8BFzcn66ZZuX9qFbEi4RkC63H/kU5c39aFm1NipHC4L8GM373eJJTk+9dv0REREQkUxqhz4JG6EXkgZGSCLFh4FnoxvV+fQqOLoVmH0CDAelOH78Uzf9+3cXhC9EAlPJzpVG9Tcw6+pv12KsUH9T7gKp+Ve90D0REREQEjdCLiOQ+9k5ZJ/MApZpbX4+tyPi0nzuLXmvA6Cer4OXqwPFLcdRy78HnDT4nr3Nejl89zkvLXuJ4xPE7GLyIiIiI3Cwl9CIiuU3pFtbX4C0QfzXDKnZmE0/UKETHKgUA2HTiCu1LtGfeY/Oo7ledFEsK807Ms9UPDo8jJCLubkcuIiIiIv+ihF5EJLfxLgY+pcFItT63/gYeKeULwIbjlwHwcvbCOa4JAH8eWUByaio/rD9B41FraTv2L67EJN7NyEVERETkX5TQi4jkRtcec3f8X9PuE6PhP9uq1C3hg9kEJ8NiOR8Zz6XoBFbs8MJIdSY65Qr1vvqRzxYfJtViEJWQwtRNpwEIj01iwroTSvBFRERE7iIl9CIiuVHpa+voV1qT+P1/Wh97t/DNNNU8XRyoXMgLgI3HrzBv1zksFgccEqoAEG2/HQc7qFnpII4+a/hp624i45Pp+/MOPl9ymP6/7sRi0d6rIiIiIneDEnoRkdyo6CPg4AoxF+DvIJjdByzJsPtXiI9IU/XRa9Puj4Xx584QAJ4o2wEA97wHeKzpdo6kTMPJbxmWQp/S/JeX2HrWWm/zyXCmbzlzDzsmIiIiknsooRcRyY3snaB4Q+v75e9ak3mA1EQ4MCdN1Wvr6JceuMDhC9E42pl5pW4rfF18STRiWBbyBwAFnMtgMhkkOO7B2X8hTcv5AfD5ksPsOBNBVIKeXy8iIiJyJymhFxHJra49vg6g6KPQ9D3r+90z0lSrXtQLZwczCckWAJoH+pHXzZnWxVoDYMLER/U/Yv4Ts3AK649hmHDw2knPFinULp6XuKRUnhi/icofLue9ufvuSddEREREcgMl9CIiuVW59uDkAQGV4enpUO15MJkhZCtcPmar5mRvR+3iPrbjJ6pbn3X/QuALPFLwEb5o+AWPl34cJ3s7vnuiK+VcWwHwyeaPGdQuH3VLeuLp4gDAzG3BGqkXERERuUOU0IuI5FYe+WHgYei1Bly8wD3g+qj9nrSj9I+UtCb0Pm6ONCyTD4D8efLzffPvaVO8ja1e7eJ5mdr5Q/xd/QmJCaHHqs4cdvofbz5xjlJ+eUhONVhz+BIWi8GEdSdYuv/CPemqiIiIyMNICb2ISG7m6AZ29tePqzxjfd0zEywWW3GXGoVoWCYf77cPxMHuxv/pcHNw44uGX1Dcszj2ZntSjVS+3vk1tcskALDswAUW7TvP50sO0/eXHczZFYJhGIRejScxJfWOd1FERETkYWUyDEPPE7qBqKgoPD09iYyMxMPDI6fDERG5u5ITYHQZSIiEp2dAuba31ZzFsPDWurdYcWYF5byqsO3vp3FxsKegtwvHL8UAYGc2UdTHlZNhsbSrnJ+gZ6vfiZ6IiIiIPLCym4dqhF5ERK5zcIbKT1nf//5iug3ybpbZZGZQzUG42Ltw+OoefAovI9l1CyfCz+HubE/HKgVItRicDIsFYPG+85y7Gn+bnRARERHJHZTQi4hIWs2GQZk21kfYze0LKz64reby58lPr0q9AEjKsxaXAn/gVvxrHq/jyJiuVfigQyAju1SmZlFvDANm7wzBYjE4fikaTSITERERyZx91lVERCRXcXKHp3+FtZ/B+i9h49dQ5WnwK3/LTb5Y4UVik2PZc+EEW0P3Y3a6zN8xI7iaVImXHikOgNlkYvuZCH7fEcLu4KusPHSJTzpV5Pm6Re9Qx0REREQeLhqhz0RQUBCBgYHUqlUrp0MREbn3zGbrc+mL1LMeX8ji+fFJsZCc+VR5BzsH3qjxBlPafcPgqt/g71KQ83HnGLB2gG0Uvm2lANwc7ThzJY6Vhy4BMG7VMRKStVGeiIiISEaU0Geif//+HDx4kG3btuV0KCIiOSdfOevrpUOZ14k6B9/UhKA6kJKYZZPP167IlNY/4mznzK5Lu9h6YSsAro72tKucHwAHOxM+bo6ERScyY+vZ2+6GiIiIyMNICb2IiGTOL9D6Gnb4etmhBbBwAESdh9QU+ONliD4HV8/AidXWOidWw9eV4MiSDJst7FGYTqU6ATBl/xSikqIYv3s8zasm0qRsPsY/V4MBLcsAMH7tCYLD4+5WD0VEREQeWHpsXRb02DoRydVOrYepHcC7GLy+BwwDxgRaE3iXvFC8ARycd71+pa7wxI/wYzMI3Q55AuDVHeCUJ13TwdHBtJ/THothoZhHMU5HncbTyZOFnRbi5exFUoqFJqPWEno1HnuziTeal+Z/TUvfu76LiIiI5BA9tk5ERG7ftRH6iDPWdfKRIdZkHiA+/HoyX6ef9fXIYgjZbk3mAWIuwIavMmy6sHthWhVtBcDpqNMARCZGMnbXWAAc7c389FItGpT2JcViMGr5US5FJ6Rr50pMIhaLvpsWERGR3EcJvYiIZM7NF1x9AQPCjkDIP/uK+FeER14Hsz3U6QutPwfPwpAUA7N7W+t4/bM7/aZvYPN4WPA6HF2epvmXK72MvdmeAm4F+Lj+xwD8efRPxu4cy0/7f+J88i7GPleawPzWb6Y3nwxn4/HL9Pl5OxuOXebzJYeoMXwlXy4/ci8+DREREZH7iqbcZ0FT7kUk1/upPZz+CzqNhwv7YXMQ1OoF7UZZN8Gzd7LWW/Yu/P3t9etemAfrR1mvvcY9Pww4BCaTrSg0JhRvJ29cHVwZ8tcQFp5cmOb2jmZHmnl8way/E3mmdmG2nArnZFhsmjqujnZM71mHt37fQ7tK+RnQsuwd/xhERERE7pXs5qF6Dr2IiNyYX3lrUn7pIIRYd6SncG3r67VkHqDi49cT+rwloFhDawI/83nrSH/wVog+DxGnrOct1sfRFcxT0NbE4NqD8XP1IzopmpikGLZd3Mbl+Mukuu4EKjB/9zlik1KxM5uwGAZ2JhPe/+yG/+yPW4hPTmXc6uM0KutHjaLe9+DDEREREck5SuhFROTG/MpbX8/vsf4AFKqZvl6B6tbN8yJOQ/Xu1mfZ5ysL//vnS4BJrSB4M5zZBI7uML6+9fzzc8HO+p8jTydP3qzxpq3J+Sfm8+6GdzkWswmzqQKxScmAidYV8vN689KYTbDjTATv/LmP+H89r/6dP/fyYv1itAj0x9/D+Y5/JCIiIiL3A62hFxGRG8v3T0J/egOkJlnX1HsXT1/PZILHvoN6/4PavdOfL1rP+npmE+z/E2IvWUf+r43qW1LBYklzSaNCjbA323Mq6gRFiu0iT9kPcCv5JUbeeRTKa0cpP3ceq1oQHzdHAN5sXgZvVweOX4rhvbn7+d+vO+/UpyAiIiJy31FCLyIiN+ZXzvpq/JNsF6qVZg18GsUegVafgqNr+nNFH7G+ntkIB+ZcL1/zGczpC5/kg2VD0lzi6eRJnfx1ALjiPBOTORmzYzh/XZrNqO2jAHB2sGPyi7UY+URlXm1ail971eWZ2kUA2H4mgtOXY/l88SH2BF+9pe6LiIiI3K+U0IuIyI25eFvXwl+T0XT77ChcG0xm65T84M2AyfrlQGoi7JkBRirs/hVSU9Jc1qJIi+sHiQVo6N0fgD+O/sHEfRPpubwn0eb9dK1VGLPZRPn8Hnz+eCUqFfTEMODFKVuZsP4k3SZu4efNZ/hs8SHCY5NurQ8iIiIi9xEl9CIikrV85a6/v7Yh3s1y9oSAStePi9aHLpPBtywUawBOnpAYdX2d/j+aFmmKq70rbg5uLHhqAkEd+9KuRDsMDMbuHMuW81t4d8O7xCan3fm+aTk/AE5fiQMgOjGF9+fu54f1Jxmlx9yJiIjIQ0AJvYiIZM0v0PpqMls3v7tV16bdA1ToDF5FrJvmvbgQijewlp9eD6nJELIdDANvZ29+7/A7szvOpphnMQAG1hiIl5MXDmYH8jrnJTwhnCn7p6S5VbPyfrb3xX3dqFzI03a8eN95zl6JY9fZiFvvi4iIiEgOU0IvIiJZ8/8noferAE55br2dovWtryYzBD6W9lzxhtbXU+th0QCY2Ay2TQSgiEcRCuQpYKuazzUf8zrNY+WTKxlWdxgAUw9MZdelXbY6FQt44udufaxe74YlmNf/EU581pZ87k5cjUum4ZdreHz8JnacUVIvIiIiDyYl9CIikrWKT0DNHtYN725HyaZQvBHUfw3y+KU9V+zaCP0G2Pmz9f2OqZk2ldc5L3md89K0SFPq5K9DQmoCLy97maWnlwJgNpsY+3Q1BrUqy5M1CmEymbAzm+hQ+foXA4YB49cev70+iYiIiOQQk2EYRk4HcT+LiorC09OTyMhIPDw8cjocEZGHl2HAl6Ug7nLa8r4bIaDiDS+NS47j3Q3vsvLsSpzsnJjedjpl85bNsO7Bc1F0+HYDPm6OhMUkYhgw/3+PULmQ1x3qiIiIiMjtyW4eqhF6ERG5P5hM16fdm8xQoJr1/d7fsrzU1cGV0Y1H06BgAxJTE3lr3VvEJcdlWDewgAdLXm/A8jcb0jLQH4DHv9vEz5vP3JFuiIiIiNwrSuhFROT+UaGT9bVmD2g4yPp+7++QkpjlpWaTmU8f/RQ/Fz9OR51m4cmFmdYt4++Ol6sjnzxWkQalfUmxGIxZfgSLxSApxQKAxaIJbCIiInJ/U0IvIiL3j8DH4NWd0OZLKNUCXPJCzAUYVw12z8jycm9nb54PfB6A+SfmsydsDzMPzyTVkpphfT8PZya/WAsXBzsi4pLp/fMOKn64jA/nH6DG8BUM+n1PhteJiIiI3A+0hj4LWkMvIpKDjiyBBW9Yk3qzPQwOBkfXG14SFhdGiz9akGqk4mLvQnxKPK9We5XelXtnes1zEzez8fiVDM8NaFGGi1EJvN8+EGcHu9vpjYiIiEi2aA29iIg8+Mq2gTf2WkfqLSlw+WiWl+RzzUf9AtbH48WnxAMwfvd49l/en+k1tYrlTXPs6ng9cR+z4ijTt5zlp02nb6EDIiIiInePEnoREbm/2TuBX6D1fdhhuHoWtk+B5ARrWQbT6TuX7gyAr4svDQo2IMVIofeK3qwNXpvh9Pvaxa8n9H0alWD/h634skvlNHXGrz3BX8fCtLZeRERE7htK6EVE5P7nV876eukgLHkHFr4BiwbAnt/g88Kw+fs01ZsXac6oRqOY1mYanzf4nCr5qhCdFM2rq1+l8azG7Ly4M039aoW9cXaw/iexU9WCmM0m2lbKj5+7Ez5ujhT3dSMyPpnnJ21lwvqT96LHIiIiIlnSGvosaA29iMh9YOuPsPgtKNUcgrdCYpS13GQGwwIBlaHvX5lenpiayOjto1l4ciHRSdE0L9Kcr5p8labOX8fCiIxPpn3lArayq3FJGAZEJSTz7I9bCL0aT42i3vR4pDiBBTwo7ut2V7orIiIiuVt281Al9FlQQi8ich84vRF+agtmB7AkZ1DBBG8dhb+/te6OX7xBhs0cCT9ClwVdcLJzYukTS0lOTSZ/nvzZCiE4PI4GI9fYjn3cHPnyycqU9nOncN4bb9QnIiIicjO0KZ6IiDw8/MpbX68l8yWaQJ2+UKcfeBcDDJjTBzaOtb5m8pi6Mt5lKOZRjMTURJrMakLr2a1ZenpptkIonNeVQt4utuMrsUn0+Gk7jwVtJCE54/uJiIiI3E1K6EVE5P7nmhfc/K4fF3sU2nwBbUZAsX9G40+str5GhcLpjKffm0wmWhZraTu2GBaG/DUk3Zr6zBT1ST8SHx6bxIZjl7VZnoiIiNxzSuhFROTBcG1jPIAi9a6/L/pI+rq7Z2TaTPsS7XEwO1DYvTCNCjUixZLC1ANTGbh2IM8sfIbD4YczvbZngxIAPFWzMPs+bMmTNQpZy6dtp8HINUTGZbQcQEREROTuUEIvIiIPhmuPrrNzhII1rpcXrX/9vW8Z6+uh+bDpW7ganK6Z4p7FWfz4Yv7s+CevVnsVgDXBa1h+Zjn7r+yn2+JubDm/JcMQmpT1Y81bjRneuSLuzg60q3x9/X3o1Xjm7Aq5vT6KiIiI3AQl9CIi8mDwr2h9LVgTHJyvl3sVAe/i1vetPgef0pAcB8vfhbn9MmwqwC0AF3sXyniXoahHUQyuT5dPTE3kjTVv8Na6t1h1ZlW6a4v7uuFgZ/3PZ90SPvi4OdrOzdwegvaaFRERkXtFCX0mgoKCCAwMpFatWjkdioiIAFR+Cpq8C+1Gpy03meCpX+DJn6B0c+g6FWr2sJ47vwdukGCbTCZaFr2+pn5GuxnU8K9BTHIMy04vY9imYSSlJpFsSSYmKSbd9c4Odsz73yPMeaU+jvZmDp2P4p0/9yqpFxERkXtCj63Lgh5bJyLyAEpJgs/ygyUF3jwIngUzrXo68jRdF3alTkAdvmn2DbHJsSw8sZDhW4YD4O/qz+X4ywCMbjSaZkWbZdjOTxtP8fHCg1gM+LVnHeqX8sViMUhMseDiaHfn+ygiIiIPLT2H/g5RQi8i8oD6tjZcPgJdpsCp9VD1OSic8ayr6KRonO2ccbBzsJWN2TGGKfunpKtbzKMYr1Z7Nc1u+df0/3Uni/aeB8A3jxPhsYk4O9ix5PUGFMnrislkukOdExERkYeZnkMvIiK5W76y1telQ2DHFJj/v0yn37s7uqdJ5sG6G/41b1R/g4o+1jX8p6NOM3LbSFIsKenaqVLI0/b+ckwiFgPiklJp9OVa6ny2iktRCbfbKxEREREbJfQiIvJwyvfPY+5iLlhfww5DyPZsX17Guwxv1niT/1X9Hz0q9mBc03G8VOElAC7GXeTTLZ8SHJV2F/1KBb0ybe9SdCI/rD95U10QERERuREl9CIi8nC6NkL/b2s/g/WjICEyW030qNiDPlX6YDKZyOeajwE1B/BSRWtS/8fRP3hm8TNciL1gq1+x4PUpce0q5Wfvh2mn5U/ccIqeU7dhsWi1m4iIiNw+JfQiIvJw8it//b2Dq/X1xGpY/Qls/v6Wm32u3HOU8CwBQGRiJEP+GmI75+7sgNs/G+B1qJIfD2cHhrYtR/PyflQqaJ2Ov/LQJf7YGUJweNwtxyAiIiIC2hQvS9oUT0TkAZWSCJ8GgGGB2r0h/BQcX2E9V76D9VF3tyE4OpgOczqQaqSyossKAtwCADh+KZqjF2NoWyl/mvqGYdDh2w3sD40CwNHOzNC25WhbKT9+Hs63FYuIiIg8XLQpnoiI5G72TpDvn1H60q2g2x/Q7U/rcdjR226+sHthyua1Tusfu3Ms0w9Nx2JYKOXnni6ZB+sz75uV87cdJ6Va+HDBQQb9sfe2YxEREZHcSQm9iIg8vDp/D53GQ6l/nh3v+8+6+vATkJp8281X86sGwMKTCxmxdQSfbv6UG018q1HUO13ZuqNhzNx2loTk1NuOR0RERHIXJfQiIvLwyl8Zqj4L157/7lkIHNzAkgJnN8OF/bfVfNV8VdMczzo6i692fsWesD0Z1q9e1Ju8bo4EeDiz78OW5Pe0TrV/5899fLf2xG3FIiIiIrmPEnoREck9TCbIV8b6fmp7+KERXD5+y81V9atqe1/G29rulP1T6La4G/svp/+yII+TPUtfb8DC1x7F3dmByv96bv2kv07ecHRfRERE5L+U0IuISO7i+6/H2VlS4PRft9xUgFsAXct0pWXRlsxoN4M6AXVs5/4KybhdPw9nfPM4AdCvcSl88zgCEJuUyp87Q285FhEREcl9lNCLiEjucm2E/prQHbfV3Pv13md049E42jnyfYvveavmWwBsv7g9yxH3qoW92P5eC56tUwSAd/7cy+nLsRiGwbGL0aSkWm4rNhEREXm4KaEXEZHcxbtY2uPQnXesaXuzPQ0KNQBg64WtVJ5WmZeXvUx0UvQNr/uwQwWK+7qRajFoPGotxYcspsVX63lj5m5WHbp4x+ITERGRh4sSehERyV1KNgO/QAh8zHocdggSYzKvv+c3WPA6JMVlq/niHsXxcfaxHW+9sJW5x+eSYknJ9BpHezONy+ZLV75w73lenrqdDccuZ+veIiIikruYDO3Ac0NRUVF4enoSGRmJh4dHTocjIiJ30phAiAqFFxdDsUeulxsG7JgC+avAj02tZfmrgp0jtPoU4sLBvwLEXbaW+VdI0+yCEwtYH7IeRztH5p+YD4C/qz+/tP2FALeADEOZtS2Yt//M/Jn0f/arR42ieW+ruyIiIvJgyG4eqoQ+C0roRUQeYjO7waEF8Mjr0OLj6+VHlsKMp8DFG+Ij0l7jlg9iw64fO3vCW8fA3ild81FJUTSd1ZTE1EQA8rnkY0zjMWl2x79mb8hVOn67EYBRT1Zh9s4QNp24Yjtf0MuF8d2qU7mQ1y13V0RERB4M2c1DNeVeRERyr8BO1teN4+DYyuvlR5dYX/+bzEPaZB4gIRL+Gg1bJlhH9v/Fw9GDIbWHUMTduuldWHwY3Zd2Z9elXemaLePvbntfp3hexnStysgulRnTtQoAoVfj6fjtRmoOX8GyAxdurp8iIiLyUNIIfRY0Qi8i8pBb8Drs+Mk6pb7POmtS/lUF61T8a/KWAPcCcGbDjdv679T9fxm/Zzzf7f4OsE6/r+Ffg1oBtQhwC2DszrF8UO8DrkYEkJCcSvNA/zTXVvt4ORFxybZjd2d7dg9rid3/2bvv8CarNo7j3yTdmz0LZQ8pu2yUjTIVUEFEUBQH4gK1OFFQcCOKouJAFHhRENEiypShLFEE2UuWbGhLS3fePwJpQ0bTNKVQfp/r6pXznPXc+UPp3fM85xgNnnxjERERucLpkXsvUUIvIlLEHdsKH7aEoBIw6DtYOBr+XW3b58YJ0GwYvFoeMlIsdS2Gw6ndsOvn7H5tHodOY5zeKjEtkU7fdCI5w36DvXol6jGzx0yH42o+9xNpGbZH2JmMBpY8cQNRJYPd+poiIiJy9dAj9yIiIu4IubAannwKFr2Qncz7h2f3KVsfjCYoVSu7rsWDUP8227nWfmzZMM+JUL9QmpVr5rBty6kt3DjnRjaf2GzX9lIvy6Z7D9xQjYaREQBkZpmZtGSX6+8mIiIiRZoSehERubYFFgOjj6V88Uz6sIowYAb4BIBPIJSNttSXrmv5DAiH8IqWx/RzSk+C16tA/CHL9ab/wfwRkJFm7dK8bHNruVnZZtQvWd96ffjcYe5fdD8JaQk2097eNJL5D7dmVJeadI8uZ61fvvME6Zm2K/ciIiJy7fAooe/SpQuzZs0iNTXV2/GIiIhcXkYjBJe2lFMvJNKDvoOoNnDX93DXPAi48Khb6TqWzzL1wGCwvFtfqjaEVYCmQ7PnnD0YJtaH74bBxi/hgxbwVV9IS6JjpY4E+gRSNbwqU7tM5evuX/N518/pXLkzAInpibSe2Zrxa8eTnpl+IUQD9StG4GMyMqhlZUZ1qQnA6aQ0Rn2zCYBjCSl2j+WLiIhI0ebRO/RDhw5l9uzZ+Pr6cscddzB06FAaNWpUEPEVOr1DLyJyDfjoevhvU/b16EPgH2rfL+kU/PgYxNwLVW+w1KUlgznT0n/OvbD5G+f36fYmNLuPw+cOE+gTSPEA23Pl3/njHT7b8pn1ule1XoxrPQ6DwX7zuzl/HGLkN5ts6qqWCubpG2vT9TrHZ92LiIjI1aFA36H/9NNPOXr0KG+99RabNm2icePGNGrUiPfee4/Tp52/OygiInJFCsmxq7xfqONkHiC4BNw+PTuZB/ALyu5fLMr1fRaMgn9/o0JIBbtkHqB9ZHub6/l75jNv9zyHU93cqAIBvrb/jO89kcT90/9g/X79WywiInIt8Pgd+uDgYO6++25WrlzJzp076dKlC6NGjaJ8+fL079+ftWvXejNOERGRghNSOrscVs55v9xcmtB3fMG+z7Rejs+3BxqUasBzzZ9jcsfJPNr4UQBeWfsKR5Psz503GQ2UCvV3OM+tU35n17HEPIUuIiIiV598b4q3Z88epk2bxowZMwgICGDIkCGkpaXRpk0bxo4d640YRUREClbOFfpQLyX0UW2h5Qj7PlnpsO4TOLrFrslgMHB77du5vuL13FPvHqJLRpOamUrnbzvz6tpX7fqfS8mwlu9oXsmmrfukVazde8rjryIiIiJXPo8S+uTkZL788kvatWtHjRo1WLZsGWPHjuW///5jypQpzJ07lxUrVvDGG294O14RERHvy5nQh1XwfJ6cCX3xquDjB43uhPBIGLXbkuQDLHsFprSG9PNOpzIajNxU5Sbr9cztM1m4b6FNn9uaRgLQpHIxnulWh48HNWFomyoApGVmcfvHa2gydhHxyemefycRERG5YnmU0JctW5aRI0fSpEkT/vnnH1avXs2QIUMICgqy9mnZsiXly5f3WqAiIiIFJrhUdjk/j9znXN33C7F89p4Mj2+BkFKWJD+nV8rCn187na5DpQ4210+ueJInlj9h3f3+iS41mdAnmql3NSXE34cu15Vl4CUr9aeS0vhoxR4ys/K8B66IiIhc4TxK6KdOncrhw4d56623qFOnjtN+27dv9zgwERGRy8Zbj9wbTdnlcg3s2y9N6AFWvuV0ugohFXi3/bu80+4dSgaWBGDRv4v47chvAPj7mOjfrBLFgv2sYyqXCLab54Ple/hs1T43v4SIiIhcLTxK6G+77Tb8/Pxy7ygiInI1sHnkPp9Plw2Jg/bPQfSt9m0lqtnXnf0XXJwg26FSBzpV7sSbN7xprXt46cN8uvlTHJ08azIaGNqmCrXKhPJ8j7rW+lcWbAPg4OlknvluM53e/pW3F+1k74lzxP39H1+v/TcPX1JERESuBB4l9EuWLOHee++1q7/33ntZunRpvoMSERG5rHLucp+fFXqAqDZww5NgdPBPbLEq2eUHVgMGyMqAbwbDueMup21Spgmfdc0+o37ixoksO7jMYd/ne9Tl58evp3dD2z9O/LbnJAOnrmXG2gPsPn6OSUt20eGtXxk+YyPPfreFqNg4dh9PJDPLzOz1B3n8f3+xbIfruERERKTwGMyO/ryfi8aNG/PZZ5/RsGFDm/o///yTYcOGsX79em/FV+gSEhIIDw8nPj6esLCwwg5HREQKgtkMb9eF86dh5HYILFYw98lIgw9bgX8I3LsU3m0A8QcsbbV7QH/n79NbwjTz3e7vePG3F6110SWjebjRw7Qq38rhmNSMTO7+fD2/7XF/x/uoEkHsP5VsV1+7bCgfDGxM1VIhbs8lIiIieeduHupRQh8QEMDx48ftJk5ISKBMmTKcP+98196rjRJ6EZFrxOl9kJYEZesV7H3MZjBnWd63/+xGOPC7pd4vFJ455NYUc3bOYczvY2zqGpduzGddP8OU8z3+C/aeOEeHt37Nb+RW657pyMYDZ5i4eBcdapfm8c418TXl+yRcERERucDdPNTHk8mjoqJYtGgRffv2tan/+eefiYyM9GRKERGRwlW8Su59vMFgAMOFpDs5x6q5OQuyMm031nOiZrGadnUbj29k88nNNCzd0K4t6pKN8uY/3Jpgfx8emP4Hu46f45GONQjwNTJx8S7SMrJyvX+zV5dYy9uPJvLB8j0ABPqamDe8NbXKhuY6h4iIiOSfR39Of/jhh7nvvvt4++232bBhA+vXr+ett97ivvvu45FHHvF2jCIiIkVTh+eyy+lJcHKXpZyVCXuWwj/z4NfXLdc5VIvI3lzv5uo3W8uDfhrE2v/W2t3GaDTYXNevGEG1UiF8ObQZ4/tE80iH6jzUrjrT72lm7fP53TFseakr3aMtewpcX7MUuTmfnknXiSs4eDqZN3/ewbAvN7D/ZFKu40RERMQzHj1yDzB+/Hhee+014uPjAQgPD+fpp59m9OjRXg2wsOmRexERKTBmM5zZD/MeggO/QY2uMGAWLBtne5xd47ug44sQXNJa9cLqF9gTv4dPOn/C8oPLeXrl0wCUDy7P/Fvm42/yt7lVVGwcANVKBbNkZDuH4SSkpFN/zC8AbHy+M8WD/UhMSWft3tN0qF0ao9FA9WcWkHHhTPt6FcLYcjjBra/apW4Z3u3fiEC/3J9AEBERudYV6Dv0F2VkZLBnzx4MBgNVq1bFx8ejJ/ivaEroRUSkwO1bCV/3g4wUuP1r+N9A+z5l6kH7Z6BWN8tj+zmYzWZmbp/J+HXjARjdbDT9a/fHaMh+EG/Z9uO88fMOXu9Xn3oVwp2GsmzHccxmMx1ql3HYfs8X61m6/TjBfib+eflG1u8/zYgZfzKkdRSTl+0mMSXD5Vfd8FwnSob4u+wjIiJyrbssCf21QAm9iIhcFp/dZFmld0fbkdDxBbvql35/iW93fgtAbLNYBtZx8IeBfDp5LpXXF27nnjZVqF3W/t/Fi08CAFSICOTwWccb5UYWD2TOA60oHRbg9RhFRESudgWa0KempjJlyhRWr17N6dOn7doXL16c1ymvWEroRUTkspg9GLbOc7//C2fszrpf8u8SHlv+GAC1i9fmm57feC8+N43/aRufrtzHtw+24rryYTz41R+kZ5r5decJh/1n39+SmKhiGC556kBERORaVqC73D/88MN8//333HLLLVStWtXjIEVEROSCEMePuFOjK/y7GtLO2da/1xiG/AjhFa1VN0TeQLOyzVh3dB17zu4hIysDH+PlfR3uqa61eaRDDYL9LfedOjjG2pZz9f6i2z6yHNu36cUuhAf6Xp4gRUREigiPVuhLlCjB0qVLadCgQUHEdEXRCr2IiFwWK9+CJS9byvX7Q82u8NskuHUavB8Dman2Y2r3gP5f21RlZmXSdlZbEtMTub7i9bzf4X0MBgMnz58kxDeEAJ/Ce8R90pJdvL1oJ492rMG7S3bZtFWICGR1bIdCikxEROTK4m4e6tGxdX5+flqZFxER8aacK/Rh5aFeHxi2HIpVhsy07Laottnlk7ZJMYDJaOKJpk9gwMCKQyv4fs/37IvfR9dvuzJwwUB+2PMDI5eP5K0Nb3Em5UzBfR8HhrevzrpnOvJ455osG9WOEP/spwcOnz1PVGwcTcYuYvOh+Msal4iIyNXKoxX6e+65hxYtWjBs2LCCiOmKohV6ERG5LHYtsux0D9D9LYi5N7vt++Hw51dQqRWknIXjW7PbYg9AgP2u9e/9+R4f//2xy1sG+QTxbod3aVGuhRe+gGeOnD1PqwlL7eo/GtSErteVLYSIRERECl+BvkOflpbGAw88wJw5c6hevbrdRjbvv/++J9OKiIhcu0JKZ5fDKti2dX0VyjaA626GA2tg9qDsti9vhmHL7KarVaxWrrdMzkjmvl/uo1e1XoxtPdbmmLvLpXxEIJ8PieHuL9bb1N8//Q9A79aLiIi44tG/3OfOnaNXr14EBgZy+PBhDh06ZPNzpcnIyGDdunVs27atsEMRERFxLOcj95dukBcQDs2HWZL+Oj3hgVXQ7hlL25GNsHQcTO0Ef3xhHVIxtCKXurXmrRTzLwbAI40esdbP3zOfRf8u8tpXyaumUcUoGxZAtVLBNIsqbtPW4KVfCikqERGRK1+RP4d+x44d3HbbbQQEBHDo0CFatGjBnDlz3B6vR+5FROSyyMyAsSUs5VG7IaSU6/5pyfBqOfv6rq9Ci4dISE+k9czWAPSt0ZfhDYdTKqgUR5OOsuHYBrpV6UaDL203t53bay41itXwxrfJs7SMLAwGMJvhpndXsOdEkk173XJhfDSoCZHFgwolPhERkcupQDfFu5qcOXOG2bNns3btWnbu3MmKFSs4ePBgYYclIiJiy+QDdy+EO+fmnswD+AWBv4N/4H9+BvatIMwvu61scFlKBZWylntU7YHRYOSVNq/YDH1s2WP5+Qb54udjxNdkxM/HyOInbmDtMx1t2rf+l0Db15exdu+pQopQRETkyuPx4bSpqan88ccfHDhwgIyMDJu2O++80+15kpKSmDlzJtu3b+fBBx+kWrVqdn327dvHt99+S2JiIq1bt6Zr167WtrNnz7JmzRqHc3ft2pUWLbI3+omPj6dYsWKUK+dgRUNERKSwVW6Zt/5BxSE1wb7+yJ9Q9QZ6VevFikMr6Fezn8Phvar14qYqN9F4emMADiQe4EDCASqFVcpr5F5lMBgoExbAzPtaMOAT23/jb/94DX4+RraM6YqfT5FflxAREXHJo4T+n3/+oWfPnhw7dozk5GTrowAAZcqUcTuh/+yzz3juuedo1aoVc+bMoUePHnYJ/cqVK+natSs9evSgcuXKDBw4kP79+1s33jt8+DATJ050OH+XLl2sG/b9999/DBgwgFmzZuHj4/HfMURERK4cWVmO6xe/CDU6M671ODLNmfgYnf+752v0ZVL7STyyzPJO/ft/vc/r179eENHmWYPIcMqHB5CWmcXJc9lH96VlZPHyj/8w7uboQoxORESk8Hn0Dn2XLl2Ijo7mjTfewGQyYTab2blzJ3fddRe33HILTz/9tFvzbNy4kWrVqpGYmEhkZCTLli2jXbt2Nn3q1atHTEwMn3/+OQBLliyhU6dObNiwgSZNmrh1n23btjF06FA+/vhj6tWrl6fvqnfoRUTkivVmTTh3zHFbs/uhm/uJ+T+n/uGOuDvIMmfxaZdPaVaumZeCzJ+U9EwAklIzuHXK7+w9aftufcPICL55oCW+Jq3Wi4hI0VGg79CvX7+e0aNHYzQaMRgMpKenU7NmTT7//HM+/PBDt+dp3Lgx4eH2Z+detHv3bv755x/uuusua13Hjh2JjIxk3rx5bt1j48aNtG/fnjvvvJNDhw6xcOFCEhIcPJ54QWpqKgkJCTY/IiIiV6SMlOxy78ngFwo+AZbr/Svh3HG3p7quxHX0rNoTgEl/TuKF1S/QZ34f3v7jbVYfXs3xZPfn8qYAXxMBviZKhPizdFQ7fn2ynU37XwfPUuPZnzh4OrlQ4hMRESlMHiX0Z8+epWTJkgCULFmSI0eOABAZGcnRo0e9FtyOHTsA7B7Dr1q1Kjt37nRrjsOHD9OwYUPmz5/PxIkTmThxIseOOVnNAMaPH094eLj1JzIy0vMvICIiUpA6jbF8xtwHje6E2APQ52NL3fGt8GGrPE13XcnrANh0YhPf7f6OXWd28fmWz3lg8QMM+HEAaZlpucxQ8CqXCOa68vYrFW1fX8Yv/3jvdxAREZGrQb6fT2vVqhUvvfQSf/31F88++yy1a9f2RlwAJCdb/tp+6SMG4eHhJCUlORpip2fPnixcuNDmp0YN50fyjB49mvj4eOuPdsQXEZErVpO74cHf4cYJlmujEUJzbPyadAL2r3Z7usqhlZ22HT9/nCZfNWHNf443or2c3u3fkGZVivPO7bbH7g2b/gfpmU72FRARESmCPEroR44caS2/9tpr/P777zRq1IjZs2dbN6vzhpCQEMDyREBOZ8+eJTQ01Gv3ycnf35+wsDCbHxERkSuSwQBl6lqOvLsopIxtny+6wZn9bk0XGZb9VNqrbV6lb42+dn3e3vA2p84X7tFx1UuHMvv+ltzSqCLv9m9o01bj2Z+44Y1lpGUosRcRkaLPo4T+zTfftJZr1arFtm3bOHv2LEeOHKFNmzZeC65u3bpA9qP3gHUDvjp16njtPiIiIkXGpQk9wLF/3BpaPrg81cKrERUWRZeoLoxpNYZlty3j2ebP0rKc5Ui9bae30W52O5YeWOrNqD3Wu2EF9o3vRtsaJa11/55Kpu+HvxViVCIiIpdHvh65N5vNHDlyhCNHjhAWFmY9Is5bKleuTExMDB9//LG1bt68eRw7doy+fe1XDURERK55vgH2dYnuvVtuMpqY02sOc3rNwd/kD0DJwJL0r92fkU1H2vR9dNmjHEg4kO9wvcFgMHBrU9s9bzYfjicqNo7ktIxCikpERKTgeZTQp6enM2bMGIoVK0aFChWoUKECxYsX5+WXXyYjw/1/ODds2MCoUaMYN24cAB9++CGjRo3il19+sfb5+OOPWb58OTfccAODBg3irrvuYsyYMVx33XWehC4iIlL0VW1v+azWwfK59XvITHfef3scrH4XzGZMRhN+Jj+7LpGh9pvEvrnhTTw4/bZA9IguxxOdazKhj+3Z9Ne/vqyQIhIRESl4Hp1DP2LECObOncvzzz9PTEwMYDnK7uWXX+bWW2/l3XffdWuef/75h59++smuvlWrVrRqlb0z76lTp4iLiyMxMZFWrVrRqFGjvIbsMZ1DLyIiV52MNEiJh/VT4dcLG+a1fxZueMpSzkyHfSsgNRFWvAHHtljqfQLhsb8hpLTDaX/Y8wPHk4/z/Z7v2Re/D4BpN06jcZnGBf2N8uTD5Xt4beF26/WX9zSjZbUSOqteRESuGu7moR4l9BEREfz000+0bNnSpv63336jW7dudpvYXc2U0IuIyFVrw2fw4+PZ12PiLZ/rp0LcSMdjGgyAnpPgt0mQngzRt0Fp+xNsRiwdwfKDywkwBbD41sWE+4d7P/58OJaQQvNXl9jUbXqxC+GBvoUUkYiIiPvczUM9+lO1v7+/w03p6tSpQ0CAg3f3rkKTJ0+mbt261icQRERErjpBJbLLfpaTYzjzr/NkHmDTTJh+MywdCyvfgg+aO+zWNaorACmZKbSZ1YZ+8/sRtzeOo0lXxlnwZcIC6NO4gk1dg5d+0bF2IiJSpHiU0Hfu3JmJEyfa1b/77rt07tw5vzFdEYYPH87WrVtZv359YYciIiLimZw73l98L/7zbrmP+/eSs+u/6GHXpUZEDZvrHWd2ELsyls7fdmbB3gV5jbRA3Nmisl1djWd/IkNJvYiIFBEePXI/cOBAZsyYQd26dWnatClms5kNGzawbds2Bg4cSEREhLWvN8+lLwx65F5ERK5aZjMsHQcrLxw3O/oQjK/o2VzNhsFNr8OFE23SM9Np/JXzd+fn3zyfKuFVPLuXF+0+fo4SwX40GrvIWndH80q8eku0i1EiIiKFq0Dfob/55pvd7jtv3ry8Tn9FUUIvIiJXvdeqwPnTcPtX8L877duLVYFyDSDlLOxd7nyegHB4aj8YLQ/4/bz/Z06eP8m0f6bxX9J/Nl0rhFRgZveZFAso5rWvkR/f/nGIUd9ssl4PaRVF7E21CfA1FWJUIiIijhVoQn8tUUIvIiJXvR+fgA2fOm+v0wtun2453m72Xa7nemI7hJWzqdobv5eJf0wkMjQSP5MfUzdPBSDEN4TYZrH0rt47v9/AK/adTKL9m8tt6va+2g2j0VA4AYmIiDhRoJviiYiIyFWkwQDH9QO/heqd4Mbxluuc79wPnANPbLMf82UvyLJ9B71qeFUmdZjEkzFP8lCDh6z159LP8dzq59h0YtOlsxSKKiWD7eqqPrOAc6kZhRCNiIhI/nmU0JvNZqZOnUrLli0pUyb7H//nnnuOI0eOeC04ERER8YKAS46U6zoeHvkTanSGO+dA+IX36oNLZfcJrwhh5e3nOrkTTu22lI9thQNrbZp9TfbHwt254E52nN6Rn2/gNWN7X2dXd+mqvYiIyNXCo4T+/fffZ8yYMdx6660cP37cWh8VFcW4ceO8FpyIiIh4QcAlj+o1fwCKV7Xvl3OFPqS05bPhQPt+p/fAH9Pgw5bwWRd4rylsmgUnLEn7tz2/5bnmz1E8oLh1SL8f+tHl2y78sOcHlhxYQmJaYn6/lUcGtYxi/4TuvHVrA2vdicRUDp5OLpR4RERE8sOjd+hr1arFF198QcuWLTEYDFyc4uDBgzRt2pRjx455PdDConfoRUTkqpeWDK9eeO/dYIQXzzjv++dXkJUBTYZYrjNS4dgW+O5BOHlhlb3N47DqHcfjnzsBPpYj8pYfXM6IpSMcdutWpRuvXf9a3r+Ll5jNZhZsPsrwGRutdbXLhvLTo20xGPROvYiIFK4CfYd+//79NGzYEMDmH73Q0FDOnj3ryZRXnMmTJ1O3bl1iYmIKOxQREZH88Q3MLhty+ae/0Z3ZyTyAjz9UaAJ9P8muc5bMA3zU1lpsF9mOJ5s+6bDbgn0LOJ1y2nUsBchgMNC9fjmGtsk+Wm/70UReW3hlvBogIiLiDo8S+kqVKvHXX38Btgn9vHnzqFWrllcCK2zDhw9n69atrF+/vrBDERERyR+bFWcPV5/LNYDYg7n3O7Edkk5aL9tHtgcgwj/CrusN/7uBvWf3ehaPlzSIjLC5nvLrHt5dvKtwghEREckjH08GPfLIIwwePJjXX38dgLVr17Jw4UJef/11Jk2a5NUARURExIvy8zh5QJjlPftzubxat2MBNLYcfxcZFkncLXEUCyjGieQTGA1GjiUf495f7gWg9/e96VG1B+Pbjvc8rnzoHl2OI2fP8++pZGauOwDAO4t3ckfzSpQK9S+UmERERNzlUUI/YsQIUlJSuOeee8jKyqJFixaEh4fz0ksvMXToUG/HKCIiIt6S2yP3ucm59U6L4bBmsn2f+SNg4TNQswv0nkylsEoAhPqFAlivL/px7488HfM0EQER+YvNAyajgQduqEZqRia//HOUU0lpAPxv/QEe7lDjsscjIiKSFx79q37o0CGefPJJTpw4wc6dO9m+fTsnTpxg1KhR3o5PREREvCqfG76Zc5xBf+OrMHQRlKgO1z9l2y8tEbbMgR8ft5vC6OCPCm3/15ak9CQAktOTSclIyV+ceeTvY+KP5ztTvXQIAG/+spPoF3++rDGIiIjklcfv0AOYTCZq1KhBrVq18PW1P3dWRERErjD53sH9ksNxIpvBiD+gw7PwzH/23TfNhKwsu+ruVbvb1bWY0YL5e+bT8ZuOxHwdw64zl/9d9tf61reWE1MzmPPHocseg4iIiLs8SujLly/PoUP6B05EROSqEx6Zv/Fm++Tcyi/Icb2Dx/LHth7Lgj4LiLslzqb+2VXPci79HAB95vchbm+c3diCdHGF/qKR32wiPdPFdxYRESlEHiX0I0eOZMSIEZw4ccLb8YiIiEhBuGs+VGoJt03L3zxGD7bf+eU5SEuyqfI1+hIZGkmlsEo83+J5p0NjV8by9bav835PD4UH+rJ8VDsebl/dWnfTuysv2/1FRETywmA2m825d7NVoUIFjhw5AkCpUqXw8/OzaS9Kq/cJCQmEh4cTHx9PWFhYYYcjIiJSuPb+CjNuh5sm2J5Xf9GYcMfjGtwBt3zosCnLnMXus7vpO7+vw3Y/ox9r7liDr+nyvd536lwqTcYttl6ve7YjpUMDLtv9RUTk2uZuHurRLvevvPKKx4GJiIjIVazqDTD6EJhy+RXi+iehTD34ZrDletMMuH4UlKhm19VoMFKzWE26VenGgn0LuKfePZQNLsura18FIC0rjQ83fcgjjR/x9rdxqkSIPx8ObMyDX28EYPHW49zRvFIuo0RERC4vj1borwWTJ09m8uTJZGZmsnPnTq3Qi4iIuOPYVtgRBy0fhsN/wBc5Nr+7+UNoeIfToUnpSaz5bw1tKrTB1+jL0aSjDFs0jH8T/qVscFkW9Vt0Gb6ArR7vrWTL4QQA5jzYiiaVi132GERE5Nrj7gq9R+/QZ2ZmsmXLFrv6LVu2kJmZ6cmUV5zhw4ezdetW1q9fX9ihiIiIXD3K1LWszvsGgp/tBnMc3mjfPy0ZMtMBCPYNpmOljvib/DEajJQPKc+rbSyr9EeTjvLDnh8KOno7o7rUspb7fvgb8efTL3sMIiIizniU0L/22mvMnDnTrn7GjBm8+eab+Q5KREREioDiVWyv138CiUchJQHWfAhz74dXy8HYkpB4zOEU9UtlHyP37KpnCzJah0oE+9tcf7Bs92WPQURExBmPEvoPP/yQhx56yK7+oYceYsqUKfkOSkRERIqAgHB4bAvUy7HZ3eGNsOh5WBgLf8/Krp/Sxuk0jzZ+FAAzZi6+KZjl6vg8L6pXIYw7W2S/O//Rir3sPJZ4We4tIiKSG48S+tOnT2MymezqTSYTx445/gu7iIiIXIMiIm3Prt/3K/zxhX2/pOPw7T2WXfLXfWLTNLDOQGv5vl/uI3paNA2+bMDsHbMLKOhsBoOBcTdHM6FPtLXu3mkbCvy+IiIi7vAooY+JieG9996zq3/33XeJiYnJd1AiIiJShLQYnl1e6+JJvi1zLJ8LRtmcWx/oE0iTMk0sw4+utdaPXTOWiX9MtF6vOLSC6GnRdJjdgf3x+70RuVXnumWs5QOnk0lKzfDq/CIiIp7waJf71atX07FjR5o1a8b111+P2WxmxYoVrF+/niVLltC6deuCiLVQ6Bx6ERERL/jhUccr885UbAb3Zu9q/8+pf+j/Y/883XLdwHUE+gTmaYwru48n0untFQDMuLc5raqX9NrcIiIiORXoLvetW7dmzZo1REZGMmfOHL777jsqVarEmjVrilQyLyIiIl7S/MG89T+0DlZPsl5WCs37GfBzd83N8xhXqpcOpc2FJP6OqWv5fc8pr84vIiKSVz6eDmzYsCFff/21N2MRERGRoqpkDcf1LR6CyGbwzRD7tkXPW86tDy5JiG/2EXivtHkFP6MfT6540uUtJ6ybwLm0c9xX/z6MBo/WMOyEB/laywM+WcP+Cd29Mq+IiIgnPPrX7ciRIzbH002cOJGyZcvSunVrDhw44LXgREREpIgw5thM1zcYnjsOzx6DG8dbdsO/qOIle/Ec3wpYNqfrVa0XkaGRdKzUkRur3EjxgOJ2t4m7JY5V/VdZr9//630afNmAOTvneOVrVIywfYR/yTZtBiwiIoXHo4T+iSeeICoqCoBDhw4xevRoRo8eTYUKFXjiiSe8GZ+IiIgUNb6B4OMPvgEXKgzZbb0u2XR3Wk9r8ZU2rxB3SxzBvsEAvHnDm5QIKMEbN7zBr7f/yo+3/EilsEqE+4dzqTG/j/HKOfYPtatus0He0GkbSM3IzPe8IiIinvAooV+8eDGdO3cGYOHChXTt2pVHH32U9957j19//dWrAYqIiEgRYzDYXpetb/k0+UNIGfv+WZmw+Vs4vQ9DjrExZWNYdtsyboyyrNZXDqtsbetUqZPdNPP3zOe9P+1P6cmL8CBfPrmrqU3dV2v0dKKIiBQOjxL6rKwskpIsx8ksWrSIjh07AuDv709mZtH4K/XkyZOpW7eujuETERHxtkvfZw8uAY9vhVE7IKg43PyhbfvYkjBnKExqCDt/gYy07Kku/ePABa+2fZWlty5ldLPRNvUf//0xBxMP5vsrfD4k+/eDsT9uzfd8IiIinvAooW/Xrh1Dhw7l1Vdf5YcffqBXr16A5Ti7orLL/fDhw9m6dSvr168v7FBERESKGAdJeHgFCCxmKTe8A67PseGdOSu7PONW+KB5rncI9AmkVFApBtQewGddP7Npm7JpiidB22hfuzTd65ezXmdm5fkUYBERkXzzKKGfPHkyERER/Pjjj3z00UdUrmx5xG3atGm8+OKLXg1QREREihgnq+o22o2GYlGO207vhSN/unkrAzFlY/i0y6fWuqUHlrI3fi9zd83l9yO/uzWPI2/2a2AtV3tmAWazknoREbm8DGb96+NSQkIC4eHhxMfHExYWVtjhiIiIXL0mt4AT2yxn0t80Iff+6z6BBaMct/mFwDOH83T7zKxMGk5v6LDt9wG/E+IX4rDNlajYOGv5+R51GdqmSp7nEBERuZS7eah3DmUVERERyc1d30Ov96HjC+7193fxh/S0c3m+vSnn0XmXaDmzJelZ6XmeMye9Sy8iIpeb2wl9REQEERERNmVnPyIiIiJ2QstA40HgF+Ref/9cVsxXTYTk0/kO66LfDv+W5zFv9Ktvc71q10lvhSMiIpIrH3c7Tp061WFZREREpED4h2aX71sK8x+BY1uy6xa/aPl5/hSY3PuVZmSTkbz1x1sAlAsux9PNnuaxZY8B8NHfH3FD5A15CvHWppF0rFOGxmMXAXDnp2vZP6F7nuYQERHxlN6hz4XeoRcRESkkh/6AqR0s5VG7IaSUpTyuLGScz+7X/W2IGer2tOlZ6fgafa3Xs7bP4pW1rwDQp0Yf7o2+l8jQSLfny8oyU/WZBdbrv17oTESQn9vjRURELlXg79Dv2rWLX375hUWLFrF7925PpxERERHJXUCOX2YuPcd+08w8TZUzmQfoVLmTtTx311y6ze3GL/t/cXs+o9HABwMbW6+HTf+Dg6eT8xSTiIiIJ/Kc0K9du5bo6Ghq1qxJ165d6dKlCzVq1KBBgwY6s11ERES8p0S17LKPf3bZnGnb71D+fv8o5l/Mrm7kryOZvWM2GVkZbs3RLTr7TPp1+07T9vVl2iRPREQKXJ4S+n///ZdOnTpRpkwZvv32WzZv3szmzZv55ptvKFGiBJ06deLgwYMFFauIiIhcSwIj4LHNlsftc8rKtO+bcMTj25iMJm6teatd/dg1Y/lk8yduz/Nw++o215+u2sebP+/geEKKx7GJiIi4kqd36B977DH279/Pd999h8FgsGkzm8306tWLmjVr8tZbb3k90MKid+hFRESuMC8VA3OWbV2J6jDiD9u6zHQw+cLZA3BmP1S53uW0WeYszqWfo/XM1jb1C/su5ETyCWoWq0mQr/Md+scv2MZHK/Y6busTzYBmlVzeX0RE5KICeYd+yZIlPPXUU3bJPIDBYODpp59myZIleY9WRERExF39Z4DRB3q+m113ajekJmZfz7kPxpaEqZ1hYjRM6wkbPnM5rdFgJMzP/pemG+fcyKCfBtFnfh+X44P9ne+0P3ruZqb9tt/leBERkbzK0wp9aGgoR48eJTg42GH7uXPnKF++PAkJCV4LsLBphV5EROQKlJ4CvgEwJjy7buAcqNEJTuyEyTGOx3UdDy0fcjn151s+5+0/3nbavvaOtQ5X6uPPpzPk83V0qFWachGBjPpmk8Px216+kUA/k8sYRETk2lYgK/RJSUlOk3mAkJAQzp07l5cpr1iTJ0+mbt26xMQ4+YVARERECo9vgH1dRgqc+dd5Mg/w82jIyoLk05B+Ho79A5esbQy5bgjLb1vOrO6zHE7hLNkPD/Tlu4daM6JjDfo0quA0hDovLGTL4XjnMYqIiLgpTyv0BoMh103vIiMjKUpH22uFXkRE5AqWc4W+YjM4vhXScllcaPM4rHon+7rFQ3DjeIddD587zIilI9h1ZpdN/cZBG+2Ov7vU27/sYMexREqHBjB9zb927f8b1oLmVUu4jlVERK5J7uaheU7o3aGEXkRERC6L0/tgUsP8z/P8KTA5fwd+1vZZvLL2Fev1/3r8j7ol6ro9fVRsnMP6mxuWZ2L/Ru7HKSIi1wR381Dn/3I5sGjRonwHJiIiIuI1xat4Z573GkP7Z6BBf4fNt9W6jfql6jNk4RDOZ5xnwroJfHnTl25PHxNVjPX7z9jVz/vrCMWD/Xmhp/t/HBAREbkoTyv01yKt0IuIiFzh3qgOSSdc96l5I+xcmPtcj22GCOfHy0VPi7aWNw/e7G6EnE/L5PDZZKqVCqHK6AV27fvGd3P7SUgRESn6CmRTPBEREZErzh2zHdcHFssuD5gFg3/Mfa7lE1w2v9DyBWs5elo0MV/FcD7jfK7TBvqZqF46FIPBgI/RPnGvMnoB59Myc49PREQkByX0IiIicnWr0Nh+Vb33B/DAagivBB1fBIMBqrTNfa6/vrbb9T6nvjX6UiaojPU6JTOFZl83Y2/8XsxmM8eTj+e6l9BPj7blya61eLRjDZv6x//3V+7xiYiI5KCEXkRERK5+ldvYXje8A8IrwOOboe0T9v1L1oQXzkCrR+zblrycXT57ADIzrJdGg5FQv1C7Ib3n9ebTLZ/S8ZuO1P+yPieSnb8CUKNMKMPbV+fxzjVt6hf+c5RT51KdjhMREbmUEnoRERG5+oWUzi4/+LtlRd4lAxiNgIPV9FUXzpn/7T2YGA1jS8C+FXB8GwAZWRn2Y4B3N75rLXf4pgNnUuw3wbtU7bK2fxwYOHVtrmNEREQu8iihz8zMZMuWLXb1W7ZsITNT73+JiIjIZeYbmF0OysPZ7sWrOa6f9xD88lz29bSe8EELOL2XJmWaABDsG0xUWJTTqa//3/X8c+ofp38AAJg1rAW3Nqlovd5+NNH92EVE5JrnUUL/2muvMXPmTLv6GTNm8Oabb+Y7KBEREZE8MeT4lcY3IPf+fsGWz0aDoM0TcP2Ttu1/fe143KRGPNH0CR5s8CCzus/iky6fuLxN/x/702h6I06nnHbYHhHkx4S+9W3qek9enXv8IiIieJjQf/jhhzz00EN29Q899BBTpkzJd1AiIiIieZJzIzqfQOf9ek+GsIrQ6z3LtckHOr0I7Z6BMtHOx+UQtv5zHmr4EFHhUZQNLsv8m+db226ufjOlg0rbjenxXQ+n85mMBraPvdF6vengWY6czX3nfBEREY8S+tOnT2MymezqTSYTx44dy3dQIiIiIh4z+Tpva3QnPPEPlK1nW280Qp+P3Jt/0Qs2l1XCqxBgsjwV0LJcS+b2mku9ErbzJ6a5fpQ+wNf296r2by53LxYREbmmeZTQx8TE8N5779nVv/vuu8TExOQ7KBERERGP5bohnhOl67rfN24krHoHUuIB+K73d7x+/evcWOVGwv3Debn1y3ZDPvjrA/rO78s7f7yT69F2qRlZ2vFeRERyZTDn9i+KA6tXr6Zjx440a9aM66+/HrPZzIoVK1i/fj1LliyhdevWBRFroUhISCA8PJz4+HjCwsIKOxwRERFxZPkEWD7eUh4T7/k8G7+E+SOyr6/rA//MdT3m8a2WI/IukWXOwmgwEj3N/lH+dpHteK+D7eLI4q3HuPfLDdbr/jGRdu/Xi4jItcHdPNSjFfrWrVuzZs0aIiMjmTNnDt999x2VKlVizZo1RSqZFxERkWtMzh3y7/4JOr+U+5iP2zmsNhqc/5q1/OBy0jLTbOo61S3DF3dnP+k4a/3B3O8tIiLXNI/PoW/YsCFff/0127ZtY+vWrXz99dc0bNjQi6GJiIiIuCmiknfmyXn8XXApy7x3L4Th62D0Icdjko67nHJkk5EO65t81YSe3/Vk15ld1rp2tUrTqlr2HxXunbbB0VAREREgHwl9UTd58mTq1q2rPQFERESuBvVvh9aPwcBv8zePb1CO8oXkvnJLKFUL/EOh5o2Ox01qBJmOz5sfUm8IH3W2bLjnZ/SzadufsJ8+8/swc3v2ccAPt69uLS/edizX9+1FROTa5XZCHxERQUREhE3Z2U9RMHz4cLZu3cr69esLOxQRERHJjdFkeTy+Ruf8zZNzh/ycyf1Fzh6jP70XVrzhdNpW5Vsxp9ccfu73s8P2V9e+yu9Hfrfc4pJN/cb+uM11zCIics3ycbfj1KlTHZZFREREio4cybSjhD7nanmrEfBbjo3tfp0A7Uc7nblmsZoA1C1Rl62nttq1D1s0jMjQSF5rNsOm/rPV+3ihZx524BcRkWuG2wl9v379HJZFREREioycSbyPv4MOORL6LuNsE3o3fdTpI/4++TdNyzTllbWvMH/PfGvbwcSD3LGkLffdMJVPfj1prT90JpmKxRz8gUFERK5peodeRERE5KJStaDFQ9DxBcfn2ef2Pvu+Fdn9nPSNCIjg+orXE+QbxCttXuH2Wrfb9TEWX0q7WqWs1/+eSnZ524zMLGasPUBUbBxRsXE89PUfJKU6fqdfRESKDrfPoQ8ICHB70pSUFI8DutLoHHoRERGxOrYVPukALYdDx+dhTLh9nzHx8Ep5SE+yXAcWh1G7wOT8wcgscxYNvmxgU/fXoL+o8+ZoMtNKk3muDr/FdqB8RKBNH7PZTM/3V7HlcILDeVfHdqDCJWNEROTK524e6nZCv3DhQmv5zz//5JVXXuGBBx6w7gK/fv16pkyZwrPPPsvo0c7fH7vaKKEXERERGxlp4HNht/rf3oflEyAtMbu9zROw6m3bMbV7QP+vXU779IqnWbBvgcO2lKM9CaIim55+yFq3bMdx7v489817Px3clI51yuTaz2w2U2W07f3/HtOFsABfJyNERKSgeD2hz6lNmzbExsbSo0cPm/offviB119/nZUrV+Y94iuUEnoRERFxKTMDxpbIvd+IjVCimtPmpPQkftzzI+PWjnPap31keyZ1mMTdn69j2Y4Tboc4+Y7GdK9fzmn7pCW7eHvRTqft+8Z3s9t9X0RECk6BJvShoaEcPnzYbuKEhAQqVqxIQoLjx76uRkroRUREJFdjS0Fmmus+xarA9U9CyZpQoQkYHW9l1OmbThxLPuZ0mvT9saScj8hziG/0q8+tTSNt6rKyzNz75QaWbj+e6/i2NUoyfWjzPN9XRETyzt081KNN8YoXL87s2bPt6mfPnk2JEm78hVpERESkKBni+FF5G2f2wfcPwaedYPGLTru1qdDG5TSGEvOch9Eqiud71GXSgEZ2bU9++zeTl+22XpvNZqo+s8CtZB5g5a6TRMXGkZCS7lZ/EREpeG4fW5fT2LFjueeee5g/fz4xMTGYzWY2bNjAggULmDZtmrdjFBEREbmyBZfMW//fJkGXsQ6b7qp7F3N2zaFFuRZM7jiZrt9052TqUWu7T+h2uzEfD2qC0WCgbc2S+PuYSM3IJNjPRFJapk2/N37eQY3SIbSvXZoaz/7k8P4Tb29IZPFAHpn5F4fPnrdrrz/mFza90IXwIL1bLyJS2Dx65B5g3bp1vPvuu2zduhWAunXr8vjjj9O0aVOvBljY9Mi9iIiIuMXRjveu3PQ6NL/fYVNiWiIhviEYDAZOJp+k+RuzMAYcJaDs9wAk7XmcrLRS1CwTxvn0TBY9fgMBviabOZJSMzAZDdR+fqGjW9hpXCmCUV1r0aqa5Y8TWVlmth9NpNskx3sj6b16EZGCU6Dv0F9LlNCLiIiIW35+Fn5/31Kucn32mfR3zIYZtzkec/dPULlVrlNvORxPj/dWEVon1qZ+06BNZJnBx+T8Lcr6Y34mIcX1mfQGA6x4sj2RxYPs2jKzzHyz4SCxczfb1HeoXZrPhsTkGruIiORdgb5Dn9OJEyc4fty9d69EREREiqycq9V3zYcn98Kjf0PNrs7H/G+QW1PXKWf5Zc5stv3VbdWRVS6TeYBVsR1Y9XR7p+096pdj76vdHCbzACajgf7NKrH31W429Uu3H2eZm+/fi4hIwfAooc/KyuKNN96gZMmSlC5dmjJlylCyZEneeOMNsrKyvB2jiIiIyNXFYIDgElCssut+ySfdms5kNFyY1vb3rOFLhrPrzC7+PvG307FhAb5ULBZErTKhDtufvrG2W4/OG40GfovtYFN39xfrcx0nIiIFx6OEfuzYsbz22mvExsaycuVKVq1aRWxsLK+99hpjxzre4EVERESkSHPnLcZoB4/exx9y+xYZ52rZ1fWZ34eBCway5+wel2PnPtSKnx+73nrdsXZp9k/o7nRl3pHyEYF8MLCxTd3dn69ze7yIiHiXRwn9J598wuzZsxk1ahRt2rShdevWjBo1itmzZzN16lRvxygiIiJSNDhaCf/leTi9FzbNgqxM+/YcUo7cyk2RtzOi0Qi7tu/3fO9ybLC/D7XKZq/Sl48IdC/mS9xUryx9G1e0Xi/bcYIth+M9mktERPLHo4T++PHjDnezb9Kkid6nFxEREXGmZA0of8kZ8af3wKRG8N39MD4Szh50OHTxEzfw2aD2vN7hOYbVH2bX/vmWz9kXvy/XED65qyld6pbhic41PfoKBoOBt25rYFPX471VHs0lIiL541FCX7t2baZPn25X/+WXX1Krlv2jYCIiIiLXtCELoOXD0HIE3PU9NL0nu+2/Tdnl9CSYWA/SkuymqH7h/PiL+tboa9en17xeRE+L5se9PzoNpXPdMnx8V1OKBft59l0ueKZbbZvr95fuytd8IiKSdx4dW/f999/Tt29fOnXqRLNmzQBYu3YtS5YsYc6cOfTu3dvrgRYWHVsnIiIibtn7K3zZC/zDYfQB130z02FsSeftLs6ov2jTiU3cueBOp+0mg4m/7vrLdRz59Pnqfbz0w1br9Z5Xu1k38BMREc8V6LF1vXv3ZsOGDZQsWZIffviBH3/8kVKlSrFhw4YilcyLiIiIuK3qDTB0ETzyZ+59Tb6u2396KtcpGpRqwMzuM1nYdyGBPvbvw2eaM3lk6SO5x5IPA5vb7uL/xs87CvR+IiJiy6MV+muJVuhFRESkQGyPg1l3OG9//B8Ir+i8PYfk9GSaz2jusG1ur7nUKFbDkwjd8krcVj5Zmf3u/v4J3QvsXiIi14oCXaG/FkyePJm6desSExNT2KGIiIhIUVSji+v2wxvdnirIN4hV/Vdxf/376Vm1p03blE1T2Bu/l+92fcep86f4Yc8PHE/23ibGz3ava3O96eBZr80tIiKuub1CHxERAcDZs2etZWfOnj2bz7CuHFqhFxERkQIzJtx1e+U2MHg+GE15mvazLZ/xzh/vuOzz911/Y3B0jJ4HHv/fX3z352HrtVbpRUTyx9081MfdCXOeL6+z5kVERES8qFY32LHAvv7fVfBycRiTt3Peh1w3hK+2fsWJ8yec9tl9drfXHsUf0/M6m4ReREQuD7cT+n79+lnLLVq0oGJF997pEhERERE33LcMTu2Buffat2WkgY/7x8wZDUZmdp9Jp287Oe0zIG4Av97+K8G+wZ5EayM8yJfryofxz5EEAMxms9dW/0VExDmP3qGvVKmSt+MQERERuYYZoEJjqH8rtH/OvvnQujzPWCa4jMv21MxUWsxowerDq/M8tyPfPtDKWr7p3ZVemVNERFzzKKEvX748hw4d8nYsIiIiIlKxiX3dsa32dW5oWa6ltdy6fGv+vutvnmz6pE2fBxY/QI/verA/fr9H97go0C/7Pf/tRxPzNZeIiLjHo4R+5MiRjBgxghMnnL+XJSIiIiJuyvl4usHBBng/PQln9tvWXdzXOCsLNs2C0/vshn3U+SMmtp9I96rdeanVSxgMBkwONtj7N+Ffes7rSXJ6cj6+hK345HSvzSUiIo55dA59hQoVOHLkCAClSpXCz8/2na6itHqvXe5FRESkwKx4E36fDPcuhhLVLHV7f4Uve9n3LVUbhq+1lFe+DUtegqb3wIbPsvuM3Amhrh+1T0xLZEDcAP5N+Neuzcfgw8/9fqZ0UGmPvs53fx7i8f9tAmBQi8qMvbmeR/OIiFzr3M1DPUrov/jiC5ftQ4YMyeuUVywl9CIiIlKgsrLAmOOhSWcJPVh2uzeb4aUI5/M9vhVCy0LCYVg/FZoOhWKVHXaNnhbtsP7hhg9zf4P73fwC2dIysqj53E/Wax1fJyLiGa8fW5dTUUrYRURERAqV8dI3IHOstQSVgORT2dcZqTAul9XzOUPhwO/Z16vfzfOxd+//9T59a/alZGDJPI3z8zFSsVggh86cz9M4ERHxjEfv0F907Ngxfv/999w7ioiIiIh7SuQ4G96cZdv2z3e5jz/g4HezBU9aNtbLzHA7jPaz25Oamep2/4signyt5d/2nMzzeBERcZ9HCf2ZM2fo0aMHZcuWpVWr7CNKevXqxerV3jn6REREROSaFF4B7lsKIzZmb3x30Xd5fwwegHUfw4ctYWwJm+pbqt8CwIhGIxwOazurbZ5vVbl49rn2n6/en+fxIiLiPo8S+ieftBx3smfPHpv6ESNGMHbs2PxHJSIiInItq9DEskle97e8P3eOPxI83/J5ZveYzb3R97Ko3yJ+vOVHahWrZW0/n3GeFjNacPfCu92ePvam2tbyoq3HvBOziIg45FFCHxcXx4cffkjVqlVt6mNiYli5cqVXAhMRERG55kX3g17veXfOHBvq+Rp9qVOiDkaDkbLBZakcVpmvun1l0z0pPYkNxzYwaeMkt6aPLB7kzWhFRMQFjxL6s2fPEh4eDoAhx7mpCQkJmEwOzk4VEREREc8Eu3GEXPVOeZvTbIYTO2FMOLxZ06YpwCeA6TdNtxvyyeZPuP3H23HngKQnu2av8qdnZrnoKSIi+eFRQh8TE8PcuXOB7ITebDYzfvx4m3fqRURERCSfqnXIvU/rRyH2gH29b7B9HUDcEzA5xlI+dwwmN4cZt8PpfQA0LN3Q4bCtp7bSa56TI/VyuP/67Kc43128K9f+IiLiGY8S+vHjxzNixAiGDBmC2Wxm9OjRNG3alGnTpjFu3DhvxygiIiJy7fLxc1zf91Pb64BwqNE1+/qpffCU7X5HVhs+s70+sR12LoRJDa1Vr7Z51eHQ/Qn7WfvfWpcr9T6m7F8x31+222k/ERHJH48S+tatW/Pbb79hNpupU6cO8+bNo3bt2qxdu5amTZt6O0YRERERyenRTZb36y/yCbB8hpTKrgsqDr6BeZ/7h8cA6F61OyObjGRca/vFmnt/uZf6X9bnr+N/5X1+ERHxGp+8dDabzUyaNIn58+djNpvp3bs3X3zxhc179CIiIiLiZa0egd9ybEpXLMry2W40nN4LFWO8d68/PoeeEzEajAypNwSAvfF7+WzLZ3ZdB/00yFruV7MfL7Z80XpdPjyAI/EpABw8nazN8kRECkCeVujfeOMNRo0aRUBAAIGBgYwaNYo33nijoGITEREREYB6fR3Xt4uFPh/DxcUVR0/BX0z+R2x0/34nd8O+ldYj7u6vfz8jm4x0OeTbnd9yMPGg9fq9OxpZy3M3Hnb/3iIi4rY8JfSffvopM2fOJC4ujri4OL7++ms++8z+r7UiIiIi4kXFKmeXO43J29jh6yzv05eoBi0fdm/M+01gWg/LEXc7fybIN4gh9YbwfIvnXQ7r+V1PAFIyUqhXIdxa/87inXmLWURE3JKnhH7//v306NHDet2rVy/279/v7ZhEREREJKecu9X7hznv5+fgsXYff8v79ABtL1llb/5g7veecZu1eHP1m6lfsr7TrpnmTKKnRRPzdQxNv25IzkcGOr39a+73EhGRPMlTQp+WlkZAQID1OiAggNTUVK8HJSIiIiI5GN3c9uj6p6BMPbhxguP2i4k9QKnacJOTfpdK+A8AP5MfX3f/mgBTQC4DLEqX3W4t7z5+jncWaaVeRMSb8rQpHsC9996ba93UqVM9j0hEREREbBlzrMG42ow4pBQ8uNq9OSOb2V7H3AfrP3Hc9+3acNt0qGs5g/6HW35gb/xexvw2hv+S/uPOOnfy1bav7IadLzYNjr4CmAB4d8ku7m4dRUSQk6P4REQkT/KU0Ldu3Zrt27fnWiciIiIiBcTF+e95kplh+bzjG9g6Dzq/BEnHYev3jvvPHgQvngWDgbLBZSkbXJZpN05j1ZFV9KrWC3+TP59u+dRuWGClqZw/cL/1uuHLi9gx7kb8fUze+R7AT5v/48GvbTf9+3FEG5v3+EVEiqI8JfSrVq0qqDhERERE5HLKSrd81uxi+QFo/ajzhB7gyJ9QobH1slxIOW6teSsADzZ80GFC7xO8z66u1nML2T+hu+ex5zDqm018+8chu/oe761i+tBmtK1Ryiv3ERG5EuXpHXoRERERKWSuHrnPi8x0+zq/0Oxy6evs2z9p73Q6f5M/83rPo3e13kxsN9GmzWBK4tIz9X7bczIPwTqWkp7pMJm/aNCn64g/7+B7iogUEUroRURERK4m3nrkPtjByrVfjt30b/3ccVKflQn/fAdvXwfnz8KZf60xVYuoxrg24+hYuSP1S2Xvhh9ScyyhdUYDWda6Oz5Zm++v0GrC0lz7NHjpl3zfR0TkSqWEXkRERORa0n8m1O4B7Z+xb7M59s4AJgdvZ/76OnwzBBIOwWuV4d36MKGyXbevu31tVxda5xn8Si7BGGBZVc/v6vnppDSb67Y1SvJQu2p2/Wo+91O+7iMicqVSQi8iIiJyNanUIn/ja3eD/l/bHmF3Uc7z7rPSweRgN/pfHRx1lxoPW+a6dXv/UosIrvI+Bt9TdJ+00s2g7X24fI/N9c5xNzF9aHOeurE2W17qatOWlpHF0fgUj+8lInKlUkIvIiIicjV4YjvctwzKOHgM3lt8ciTwEZWhZC33x357N5w7AefPWB/BrxhS0Wn3oKgPOHTmvKeR8trC7FOWrq9ZCj+f7F9rQ/x9+Pmx6236txi/xON7iYhcqZTQOzF58mTq1q1LTExMYYciIiIiAmHlbHaYLzCxB+HJveAfAl3GQoMBEOnmUwFvVofXouClCABurn6z065GnyRC68RyLDEpzyGmpGfaXL99WwO7PrXKhvJy7wL844eIyBVACb0Tw4cPZ+vWraxfv76wQxERERG5fALCILiEpRxUHG6ZAkN/zvs8qeeICo+yXr7T7h2H3TrNbUH0tGhSMtx/JL7vh7/ZXJcM8XfYb2Bz23f7F2z+z+17iIhcDZTQi4iIiIj3ja9Ah8CKtItsxxNNnqBV+VaUDS7rtHvM1zFET4smelo08anxLqf+50iCtXxni0pO+5mMBuY82Mp6PXHxzjx8ARGRK58SehERERHJXe0eeR7i+2Er3uvwHnfXu5sg3yAW9lnI6gGrcx3XZlYbfjv8m8O2jMwsm+unbqztcq4mlYtZyzuPnXMjahGRq4cSehERERHJXbtYz8ZlZh9NZzKaCPML47Oun+U67P7F9zPtn2mcTkpjy+F4Tp5LBeC9pbutfVpWLUFYgG+ewklOy8hTfxGRK5kSehERERHJXVCJ7HL3t6Fub0u51SOux40taVcVUzaGxB0vknk+0uXQNze8ScxbH9LjvVU0HbeYqNg43l2yy9oeXTHcrdBHdKhuLcfO2ezWGBGRq4ESehERERHJnU9AdjkgHG6eAoPmQYfnoUx07uNTbR93jwgII3n/cBK3jyX4xJNOhwVVnkpgxS/wCfkHsN3dvm9j58fi5fRYp5rW8s5jiW6NERG5GiihFxEREZHc+QbaXvsFQbX2tmfXA1TraD92TDiMrwDTb7FW3R5zYXXe7MvRkyXsx+TgE7qdwMjp+Jf7zqa+VtlQt0I3GQ3W8vajSuhFpOhQQi8iIiIiucu5Qu+Kyc95256lcGwrmM08nmPVPKc7at/B3F5zHbb5RWywlqfc2di9eBw4Gu/+EXkiIlcyJfQiIiIikjuDIfc+AMWrum7/sCV8fAMBviab6gW3LODlVi/zVMxTRIVVI2nPEy6nCfb3cS+eC966tYG1/PXaf/M0VkTkSqWEXkRERETyxi/Y9rr+bZbPMvUsu+HXvx0qt3E+/r9NAHw4MHuV/fiZYG6pcQsmo4kpy/eQlVaa1JM32A01Be3B4HsSH2Pefo3t07iCtfzrzhN5GisicqVSQi8iIiIi7uk0xrK7fY0utvUtHoI7ZsPgHyAgDPp8DEN+dD3Xmg8pGepvvez74e/W8luLdgKQduImOoW/yls3vGVtC6r8CSHV3+SzPaPZeWan26Ebcjxh8PeheLfHiYhcyZTQi4iIiIh72jwOt30JRtvH5TH5QM2uEFQ8uy63R/QXxmJ04yn+CFNVukR1satf89/v9J3fl0eWPoLZbHYjeFsZmVl5HiMicqVRQi8iIiIiBSOwuMtmU2aqXV1Kuu3RdA0jI1zOsezgMmbtmMVvR35j79m9Lvvef0P2+/1zNh5y2VdE5GqghF5ERERECkbpOi6bG35Zm5d8Prep6/zOrzbXPeuXB6BaeDWn87y69lXuX3Q/vb/vTXpWutN+IzrUsJafnrOZqNg4zqdlOu0vInKlU0IvIiIiIoVmsM8iSmB5pz0hJZ2Dp89b2356tC3GC8/lj2szzq35bp53s9O2EAc749d5YSH7TyblIWIRkSuHEnoRERERKRg5320v19Bpt9d8PwYgLcP2vfYgv+x39euVrMfqAat5qOFDLm95IPFAnt+pb/fm8jz1FxG5UiihFxEREZGCN2CmZVO97m/bNXUy/QnA5kt2n/cx2f6qGuYXxrDoYUT4RxDiG8KnXT51eKv6X9Ynelp0nsLLy1F2f/x7mqjYOFpPWMrxhJQ83UdExJuU0IuIiIhIwfANzC6Hlbcce1f/doddA0jl7i/W29SFB/ra9TMZTfzS7xeW3LqEmLIxdK/aHYBOlTrZ9XWU1M9/uDV+JvtfgQd/ts7VN7E6eDrZesTe4bPnafbqEu6dtsGtsSIi3qaEXkREREQKxk2vQ0Ql6PFOdp1/iMOu2wPutrl+8cYqhPhe+FV163zY+Yu1LdAnkCDfIAwGAxPaTmDz4M280PIFh/Mu/nexzXX9ihHsfOUmlo9ql/fvA7R9fZn9PbYdY+a6Ax7NJyKSH0roRURERKRglKwOj22Gpve41d2EZcf5EsRz9/KW8HIx+KIHzB4EM26FdxvCmX8djg3xdfyHgseXP86xpGN29VElg9k3vptN3ZGz5+365eTq3fzRcze7HCsiUhCU0IuIiIjIFSGCczQ27OSPgAezK/evzC6f2Qfv1oeMNMuKfUoCZFqOqfM1+bKo3yI+7/o5zco2s5m307edmLV9lt39DAYDnw1par2+4Q371fechny+3mX7Pu2WLyKXmRJ6ERERESkcIWVtLh/3+Za5/mNyHzeulGXFfkIkjC0JackAlA0uS9OyTfm0q/1mea+sfYXJf00melo00dOieeePd8jMyiTAJ3sn/fTM7BX4lPRMomLjiIqNs+6+n3PjvHf7N2T/hO4292iv3fJF5DJTQi8iIiIihcNoey78nT5LPJvn1XJ2Vb2q9bKrm7JpirX82ZbPaDi9IU2iijmcsvbzC63lms/9RGpGpk17z/rlAVj3bEeb+qysvB2ZJyKSH0roRURERKRwRLXx3lxjwmFNdsI+puUYosKich3m72OicaUI6/WRs+cdvktf67mFNtdGowGA0qEBNvXDpv+Rh6BFRPJHCb2IiIiIXF4P/wE9J0HTu3PvmxcLn4Ysy+PxviZfelfvneuQ6GnRhEbst14/8NUftJqw1OWYS1fl4x7J/sPE4m32G/CJiBQUJfQiIiIicnmVrA5NBkPxqt6f++VicGE3+gG1B9C4dGMebfyoyyEb0yfgG2E5h/7vQ/G53uLSVfnryofbXLvaDV9ExJuU0IuIiIhI4QgpDfd6+N68Kz89BUCwbzDTbprGvdH32jQ/0/wZuyEB5eYCnifineqUtpYPnnZ9/J2IiLcooRcRERGRwlOxKbR/1rtzrvsYTu2Bvcth6ThIP8+MbjMI9w9nTMsxDKg9gJuq3GQ3LLTOaELrxGLwPQ1ApeJBLB15g+3Ulzxuf9HDHWpYyx+v3OO97yIi4oISehEREREpXNU7uW43GOHB3+DhDe7P+V5j+LI3rHgDXilLdKloVt6+kr41+wLwSKNHnA4Nqf46Rv+jPNm1FlVLhdicVW8yGByOaRgZYS2v2nXS/ThFRPLBJ/cuIiIiIiIFqEJj+7qAcEjJ8T57mesgNTH7utNLkJEKy1917x5jwjEAjLHMGeAT4LJ7cNWJtLiwqV77WqXpVKcMZrOZ4sF+Tsf4+RhJy8hi/6lk92ISEcknrdCLiIiIyJXluRMwcmf2tU+g5dPkn11Xph60ezrvcx+2HCtXMrAkT8c8zQstX3DatcO37Vl+cDnbT2/nw0EN+HRIDAYnK/QAaRlZeY9HRCQflNCLiIiIyJXFxw98A+C26RBaDgZ+Y6k3+eZ/7k86wMH1ANxZ905urXkrDzV4yGn3EUtHcNuPt9F4emNOJJ9wOXX9itm73Z9Py8x/rCIiuVBCLyIiIiJXprq9YOR2iGptuXaxOp4nn9q+sz+s/jCm3zSdcztdb87X4ZsOLtvfvq2htXz4rHa6F5GCp4ReRERERK4exatZPiNjLJ9DFkDp62BIHNzzs/vzrH4XEo8BYDKaaFi6IebMUBJ3jHE57NYfbiU+1fFZ9dVLh1jL+04muR+LiIiHlNCLiIiIyNVj+FoYfdiyaR5YVu8f+g2i2kClFu7Ps+gFeKsmJPxnrRrSKgqyAri52Ke83Oplh8O2n95Om1ltGPzTYJfT3/dlHnbkFxHxkBJ6EREREbl6mHzBPyT3fu56u7a1+Fz3Osx/uDUvdm/KLTVuYfWA1U6HbTy+kXc3vsuxpGNeC8VsNhMVG0dUbBzLth/32rwiUnQpoRcRERGRoiOqbXb5iW1Qum7uY3YvAcDHZKR+xQh8TJZfkcP8wtg8eDObB29mUN1BdsOmbp5Kp2878eJvL3ol9CqjF1jLd3+xXu/hi0iulNCLiIiISNFhNmeXw8qDwY1fd7/qk2uXYdHDnLbN3TXXulJ/R/NKud/PgajYOLu61hOWejSXiFw7lNCLiIiISNFV+cIO+UYfGPar834r33Y5TahfqMv2Tt92InpaNNfXzT6LPiMz/+fST162O99ziEjRpYReRERERApfcCnLpzsr6q5cerRdxxeg44swfB2Ub+h83JKXYN9Kp80mo4lh9YfRsVJHl7d/cs2d1vLGA2fdCBiOxqc4bXvj5x1uzSEi1yYl9CIiIiJS+AbNg2od4N7F+Zvn4jv0BpPl0z8E2j4BJarlPnZaD5fNIxqNYGL7iXzU6SOX/Qw+CQDsOXEu93sCnd/JfnKgQWQEy0e1c2uciIhPYQcgIiIiIkLZejDou/zP0+YxCCoO1V2vpOdHqwqtWNxvMSUDS/Lg4gf5/b/fbdpDarwKwMcr3mNAs9zfqU9MybCW5z7YCpPR9imDo/EplA0P8ELkIlLUaIVeRERERIoOH39odh8Ur5p73+hb7evWfWL5PPInpMTD5m/h6Ga7bmWCy2Aymviw04dOpz9ZagRDfx7KubRzZGZluhX+xWT+58eut9b9eeCMW2NF5NqjhF5ERERErj0BEXDT6/b1C0bBgqfg43YwoRLMGQpT2sCOhQ6nMRlNTO442elt1h1dR8uZLWk4vSFfbPnC7fBqlc3ehO/Brze6PU5Eri1K6EVERETk2tFutOWz50Qw+Trus87BO/Izb4fj2+H4Ntuj8YC2Fdoy/abpxDaLdXnrt/54i4ysDJu6s8lp1vKz3erkGr6ISE5K6EVERETk2tEuFp7+F667xXKUXV580Bw+aAEvRUBmurXaYDDQsHRDBtYZyObB9o/n59RoeiOb64mLd1nLNzeqkLd4ROSaV+QTerPZzKRJk6hevTo1a9bkgw8+KOyQRERERKQwBUZYPi/uhO+Jmf2dNpVJd94G0H1ud2v5i9/2W8sBvra/mt/eNNJa9saZ9iJS9BT5hH7btm0cOXKExYsXM2vWLMaMGcOePXsKOywRERERKWx5XaHPafdi+MTxTvpTej1C0t7HSN4/zGH7gcQDRE+L5pO/PwGyN8sLDbB9BaBOuez36JdsP+55rCJSZF0RCf3x48dZs2YNCQkJTvvs27ePv//+m7S0NKd9HKlbty4TJkwgKiqKChUqEBoaSkCAjv0QERERueYZjfDAauj4omfjD2+AEzvtqquXDuWV7p3JPB9lrYsu1squ36Q/J+Ff5gen09/ZorK1fOTs+VzDueuzdUTFxhEVG8f6/adz7S8iV79CTej//PNP+vfvz3XXXUfLli3ZuNF+B8+TJ0/Stm1bGjRoQO/evSlfvjxxcXHW9t9//52QkBCHP5mZlr947t27l5CQEMqVK8eQIUOoUEHvJ4mIiIgIULYetH0Curzi2fjJMQ6rb21SETCSuG0CidsmcGDnTQ77+RVfg8En3mGbjyn7V/WXftjqMoyU9ExW7DyRff8pv+cSuIgUBYWe0Pfu3Zu1a9c67fPAAw+QnJzMf//9x759+3j88ce5/fbbOXbsGADNmzfn6NGjDn9MJst7UVWqVOHo0aNs2bKFb7/9lpUrV16W7yciIiIiV4lWD3s+NvGYXZWPycjD7atbrw+ddLKjPhBSYzzBVd73/P7AzZNX29UNn6Hj7kSKukJN6O+55x4GDBiAn5+fw/ZTp04xb948Ro0aRXBwMAAjR47EYDAwa9YsAIxGo9MVeoD58+ezaNEiAgMDKV26NAEBAZw5c8ZpTKmpqSQkJNj8iIiIiMg17MbXXLdvmgHLxsPuJTbVj3SsYXN9b/S9TqcwBhzKNYyo2DhW7jrhsG370US7uri//8t1ThG5ul0R79A7s2nTJjIzM4mJyX6UKSAggPr16/Pnn3+6NUfr1q356KOPCA0NpUaNGrRq1YoePXo47T9+/HjCw8OtP5GRkU77ioiIiEgR1fiu7HJ0P9d9F4+BXyfAV30gPftddz8f21+1H2n0CAtuWUBmaimH00zfOt2ublCO9+gBBn26znUsl0jX7vgiRdoVndCfPm3ZzKN48eI29SVKlODUqVNuzVGiRAnmzJlDYmIiZ86c4Z133sFodP61R48eTXx8vPXn4MGDnn8BEREREbk6tXnC8lm6rm39qF32fXN6pSwseMp6mfPoOYPBQGRYJMl7HyP54GCSDwy1Gfr6+teJnhbNvvh9JKUnAXBd+TC7W/z8z1Gb63OpGU7D+XTVPtfxishV7YpO6H19Le8apaam2tSfP3/e2uaui+/T58bf35+wsDCbHxERERG5xhSvAk/ugftX2NYb3Pj1ed1HkGXZnHlwqyhr9bb/EjCbzYCJzHN1yEyqQeZ5+82ae83rRYsZLTiXdo6IIPvfeUfMsH1Stdd7q6zl1bEdWPlUe+v1hJ+25x6viFy1ruiEvnJlyyNGR44csak/cuSItU1EREREpEAElwSTr+159e6eXf+y5QlTX5PBWrV+/2n2n0q26Za8/0GnU7Sc2ZIn/+hCVEnbe6ZdeIz+4hF1e08mWdvKhPoTWTzIvRhF5Kp3RSf00dHRlC5dmh9+yD6fc/fu3WzdupWOHTsWYmQiIiIics0IjID2z0K7Zyzl4lXdHmrOUf7o1738uMl2oWrV053pUvlGl3OcKjWK/RO629SNX7DNYd+cR92JSNHn5p8YC8aJEyfYs2cPJ05YduvcunUrAQEBVKxYkYoVK2IymRg3bhwjRoygRIkSVKpUiTFjxtCmTRu6d++ey+wiIiIiIl5yQ/Z78QxfD1npcOB3mH6L8zE7f6FSVPbj74fPnuetRTut19vH3kiAr4mh0Xfzy78LXd7+YKLtvk4frdjrsv/zPeoy9kfL2fXpmVn4KtEXKZIK9b/sdevW8dhjj/HKK6/QvHlzvvzySx577DEWLsz+H9p9993HV199xaJFi5g4cSLdu3dnwYIFGAwGFzOLiIiIiBQQkw/4BkLxaq77zbiVgO+HWS+rlAy2aQ7wtezxVLdEXZbftpy/Bv3Fgj4LHE7VbW432tZxvSdUzg30bo/J3oxvX45H8kWkaDGYLTtziBMJCQmEh4cTHx+vDfJEREREirI9S2H+o9D7PajaLvf+yafh9Sq5dnsx7GWmHa9uV3/pY/QXZWZl0nB6Q8e3PHA3mUm1HLb98VwnSoT4A2A2m6ky2vLHgbtbR/Fiz+tyjVNErhzu5qF69saJyZMnU7duXWJiYgo7FBERERG5HKp1gMc3u5fMg2XDvIs6jXHa7aWEF/IUhsnofCU+qNLn+JVYhu3b+RbGHE+w5nya9fPV+/N0fxG5eiihd2L48OFs3bqV9evXF3YoIiIiInIlMrh3LLIjbWuUdNn+cquXGVpvKKsHrLZr8y/9M6F1RmPwiSfukTY0rhRBTFQxh0fcAdQsE+LyXmaz2bpj/sTFO132FZErS6FuiiciIiIictXKeSZ9mXq5dDYD2avm3aLLuex9S43szfZqFavFjjM77PqE1BgPPi2Z82ArSzhO9pjaeeycy3tdfDQfYOLiXTzasYb2qxK5SmiFXkRERETEEzkfjS9TD+75GUZshHIN7bruDxiIgSzrtcnofsI8o/sMp239f+qFwWAgPSudVYdXkZ6V7va8ACnpmXZ1vSfbPxUgIlcmJfQiIiIiIp4w+ULX8dDhOQgrB5VaQIlqYM5y2L2rcYO1XOH4rzClLRxYA2/XhTHhcHK3w3F+Jj9ebvWy0zCip0XT5KsmPLj4QRpPb2yt7xZdNtev8MzczXZ1fx+Kz3WciFwZlNCLiIiIiHiq5UNw/ZOXVDo+ROod3w+s5dbrhsPRv+GzrpBw2FL5fhOYe7/DsbfUuIXNgzfzU681uYY0cMFA0jLTaFXN9Xv6AHP/POywXgdhiVwdlNCLiIiIiFwGgYY0Whi3sj/gDued/p4FmelgNlt+LhEW6Efa2aYu7/P3ib+5c8GdXJ9j470Tiam5xhfsl/0KwYHTybn2F5HCp4ReRERERMSbXCxuz/Ibl/v4sSXhpQjLz4o3ITXR2hTgYyIrpUKuU2w7vY3uP7YgqPKH+IRv4HhiSq5jfn2qvbX88Yq9uccpIoVOCb2IiIiIiDddd7Pls3i1/M+1dCyMr2i99PMx0rdGH8oYW9GpUqdch5uC/iWw/Ld8vCL34+hKhvhby99sOORZvCJyWSmhd2Ly5MnUrVuXmJiYwg5FRERERK4mrR+F27+GoYu8N+fuxdbihD6NWTzoI95p/w6bB2/m/Q7vA/BAgwecDl+aeg87z9gm9WkZ2Zv3je8TbduW6XhjPxG5shjM2vHCpYSEBMLDw4mPjycsLKywwxERERGRq8mYcO/N1Wcq1L/VYdP5jPME+gSy9+xeen/f2+kUmwdn72r/0g//8Pnq/QBseqEL4UG+RMXGWdv3T+junbhFJM/czUO1Qi8iIiIicjWYey/sW+GwKdAnEICqEVXpW6Ov0ymip0Xz1/G/MJvN/LT5qLXe18cAQM0yIV4MWEQKmhJ6EREREZGCUqGJd+eb1jPXLmNajeG1tq85bR/00yDqf1mfkAAfa12Qn6UcVSI4/zGKyGWjhF5EREREpKAMiYPyjb0759mDuXbpVrUbmwdvpq3/e0777D6eaFd3/w1VreXElHS79ozMLKJi46w/IlK4lNCLiIiIiBQU30C463vvzjmxXnY56ZTD8+ov+qB/O5L3O94sL7TOaLu6RpHFrOVlO07YtVd/9ieb6w37T+cWrYgUICX0IiIiIiIFKcCNjZUf/RsG/+j+nOfPwCcd4Y2qlvPqty+AQ384TO4faNGR1ONdHE4TWifW5tpoNFjL6/flnqz3m/K7+zGLiNcpoRcRERERKWAHK/exr+z6quUzvBIUqwxV2ro/4WtRcHhD9vWsATC1A3w/3K7ryM61SDvVgcRtEzi3e5Rde0CJNZxIPsGlh19NX/MvT/zvL/djEpHLTgm9iIiIiEgBO12qefbFvUsh9iC0HA6Pb4WH1zke1H8GdH45bzf662u7nfBzrrqb00vaDfEtPY8O33Sg/pf1OZty1qZt7p+H83Z/EbmslNCLiIiIiBQ0oym7HBGZ/Rh+eAXLe/aO1O4OIWXyfq9cdsJP3O78jwRt/9cWyLSp23viHADHElIcjtl5zH5zPRG5PJTQi4iIiIgUsArFcxwHF2S/Sm5VuY3ls14/y6fRx3lfV/79DU7tcdxm9iPlWDenQ0PrPEtonViCq70BwLoL79I/OutPa58v72lmLb/4/T+exSgi+aaE3onJkydTt25dYmJiCjsUEREREbnKlQzxz74wuvgVvP9XcPMU6Pmu5bp2D8uxdzVvytsNP78J3msM6z5xuFFe+unc39c3+p0itE4ssXM3ExUbx5q92Zvktahawlr+fe+pvMUmIl6jhN6J4cOHs3XrVtavX1/YoYiIiIjIVc+QexeAwGLQcAD4h1iufQNg2DLoPdmz2y4YBX//jye71rKLZ0SVeW5N4VfyF/s6H6URIlcC/ZcoIiIiIlLQDG4m9M4El4C+n3o29rv76dO4gl11jdKh3FnnTgBeafOK0+H+pZYCzs+6dyUqNo6o2DgOnUn2aLyIuKaEXkRERESkoBm88Gt3dD+45WOPhvplpdrVXV+zFE/FPMWSW5fQq1ovJrSd4HR8aJ3RhNaJxeATb62rWy7M5T1X7z5pLbd5bZkHUYtIbpTQi4iIiIgUuHyu0F9UuaVHw0q8W5kgbHepNxkNGAwGSgeVBqB71e78PuB3l/OE1BhvLadlZrnsO3DqWpvrPRd2yxcR71FCLyIiIiJS0IpX9c48Rt/scp+pMHCO20O3BtyTa58QvxD+GvQXf9/1N4HJHR32Ca0TC0CnOnk7Uq/jW7/mqb+I5E4JvYiIiIhIQStbD279AoYuyt88phwJfflGUKMTdH8berwDzx6Fcg3yNz9gMpowGAxM6fWY0z5LDiyhVbUSTtvPp2U6bRMR7/HwYEsREREREcmT627J/xw5z6W/uNFezNDsupo3wn+bnA73JYN0N1OA68pEknzgHoIqfWbX9tiyxwAIrhFM0q7nOZ+WSaCfydr+684Tbt0DIDUjk4xMM8H+Sk1E8kor9CIiIiIiV4ucK/SOODhzPqddAXcB0KBcIKQkuBxjMhjITKpB6vHOZJyr6bCP0ScJU+B+Fm07ZlMft/k/13Fe0OLVJdR6biHXvfgzu44lujVGRLIpoRcRERERuVoYc0voc2xUV7Wds058f+YWmBAJY8LhpQg4vt2ul4/JCBhIO9WR8wfvYcEtCxzOFhQ1hbGb+7Dk3yWcS7NsfLcixwq9v4sz648mZG/U1/mdFU77iYhjSuhFRERERK4WJl8IiLAk9uEV7duLRWWX7/re4RT7AwbaV37QHM4dd3nryLBI3uvwnsO2lMwkHlv+GC1ntuSl318i/ny6te2Lu5tZy+YcTwNkZnl2tr2IZNOLKk5MnjyZyZMnk5mpDT1ERERE5AphMMConZCVCT7+9u0N74Cz/0JUm7zP/WYNePFs9rv5OVSICASgdfnWuU7z7c5vgSYXA6ZisUBr296TSVQrFQLAwi1H7cZmZZkxGr10xJ/INUAJvRPDhw9n+PDhJCQkEB4eXtjhiIiIiIhYOErkLzKaoMNzns/9UgSUqg3DfgXfAKqWCmbviSS6RZcFwDe3d/gvCK0z2lo2mVZbyzlX6Ges+9du3K+7TtC+VmkPgxe59uiRexERERGRoqrLuLyPObEdJjUEYPb9LZl4e0NGdqllba5TvA4AzzR/xq3pus5rDVje7Y/7O3tVfvXuU3Z95/91JO/xilzDlNCLiIiIiBRVrUbAc67fjXco0bJLfckQf25uVIEA3+wj6aZ3m87CvgsZUHsAVRI/JHHb+FynC63zDL7h63ln8U6bVfpLfffnYbu633afJCo2zua9fBGxUEIvIiIiIlKUuXpE35VfX3dY7W/yp0JIBQAaVyoGuPfOe0D5ORh8zlBltOPd8gFaVSthV3fH1LUANHjpF7fuI3ItUUIvIiIiIlLU3fFN3scsewVWT3LZ5Yvf9gOQtOcJ3m4zlWk3TnPZP6TGaxh8zhIVG+ew/bc9to/h/2/9AZvrpNSMXIIWubYooRcRERERKepqdvFs3KLn3eqWlVaa+z45SeMyjfmp11oSt00gac/jDvuG1JhAaJ1YQuvEAhDsZ3LYD+DpOZttrm+d8rubgYtcG5TQi4iIiIhcCxoNuiy3Sc2wbICXlVaGOd0Wuexr8D1Nr4blGd6+mltzb/0vId/xiRQlSuhFRERERK4FlXOcIV//9uxy309dj4sb6bRp0oBGdnUd3/rVWq5ZqixvXP8GxfxLOhwfUv116lc/RVBgkusYRMQhJfQiIiIiIteaPh/D4//A3Qshup/rvuunwtkD8NcMyMq0aerVoLzN9dnkNLvhN1a5kRX9l9G3+u12bQCv/vkIU/YNAYN2sRfJKyX0IiIiIiLXovCKULmle30nRsO8B+Hl4rB7idNuDV92/oj9C61cn1sfWtvyvn5WluVYO1fH212UlpHFg1/9QUp6Zq59RYoiJfQiIiIiImJRJjr3Pl/1gf82WS+/uDvGramNBiPndj9JypG+TvuE1ollxNJHAdhzIvsx/J6XPAlwUc3nfuKnLUep/fxCt2IQKWqU0IuIiIiIXBNcrHhfd4vls81j7k310fXWYr0K4e5HkF6C9PgYMpKjnPZZcXgZqw6vYsfRRGudj9H+rPs1e22PuMvIzHI7DpGiQgm9iIiIiMi1wNUj7H0/hUf/trxPH1zavfkuPHpfMsTfYfOmF50flZdyaBA9yo9gRKMRDtsfXPwgL658C6P/EQC6R5eztl18FP+1hdttxkz4yfZa5FqghN6JyZMnU7duXWJi3HuESERERETkila51YWC/Wo3RhMUq2wpD/0FqrbLfb6v+rhsDg/0ddpmzgzmxsq3MKz+MDYP3uywT2rIzwRXnURonVgWHHsLg088AHtOnAPgzwNnbfpPXbUv95hFihgl9E4MHz6crVu3sn79+sIORUREREQk/4pXgREb4elcEt/iVaDHO+7N+d2DDquvKx/msH5Qi8rWcqtqJdy7B7DowE+E1BiPX6mfGPTpOrfHiRR1SuhFRERERK4VJapBYLHc+xWvCi0fzr3fphmw4g276oxMx4/3R5UMtpZ9TdmpyM3Vb879XoB/yV/5Lz6F/Sd1br0IKKEXERERERFHur7iXr+l4+yqKhYLdNg12M/ksH5MyzGc2zOSxB0vkHbG9SuvoXViaf/OD7mG1fv9VUTFxhEVG5drX5GrlRJ6ERERERHJlxbGrTbX7WqVctjv5kYVaFG1OKO61LSpNxlNmNNKQVYQqUedH2t3UUjN3P/YsOlQvLV88Wx7kaJGCb2IiIiIiOTLLD/bVfrbYiId9gvwNTFrWEse7lDDrm3nuJus5cTt40ja+wiJ28aTuO1VygWXs+sfWicWv5JLKBVmn6zHJ6fbXD8y60+3vofI1UYJvYiIiIiIuObj+BH6nAxknwPv7+P40XpX/HxypCZmH7JSy2PZkd/IL/1+cTjGv9QiUiqMBjIswy4caddt0kqbfj/+/V+e4xG5GiihFxERERER14JLwi0fQ1RbqNXdYZfv/Z7PvsjMgD1LISUe0pJg7UdwcrdHt178xA0AzOw+02mf0DrPEVonllPnUgE4fPa8R/cSudr4FHYAIiIiIiJypTNAg9stP2cPwA77jebqG3MchzfWyZF0z58Ek/Pz6S/l72OkeukQAOqVrEfyv8MIqvyx0/7t58Y4Pdf+opyb5O2f4PiPEyJXC63Qi4iIiIiIa4acZdeP03c2bnDeOLYkJB7Nvj6z37KCf0GAr216UveS8+yblG5K4o4XXd4/elo0IbWeB7QRnhR9SuhFRERERMSx0tdZPuvl2Hne4DyFCOccn/i97XrOKW3h1zdgTDi82wBeLW95NB94vV8Dm66d65axub6zZWXICiRx26ukHrsJZwzGdIIqf2hXf+lmeWv3nnIdq8gVTgm9iIiIiIg4NuRHuHUatHsmu85FQr8pYFjucyYdh2WXnF0/oRL89zep6Zk21YNaVLa5Dg+8+Li+kbTTNzCj2wyalGni8DamoAOE1om1qVu+87jN9e0fr8k9XpErmBJ6ERERERFxLKg4XHcz+Phl1+V8Bz6Xx+/z5KO23PD7PTZVoQG279s3iyqeHZqfiehS0Xxx4xckbhvvdNqgKhOt5Udn/eWVUEWuFEroRURERETEfUHFoeFAaDAAKjb16tSlT63D58IRdI4E+mX/AeHJrrVytBhIOdrT4RhTwFECys8kKdX5vCJXKyX0IiIiIiKSNzd/ALdMcfn4vad2B9zlVr8Qf9sDu9LPtOamkC/4qNNHdn19wzfRYlYjcPHHggOnkomKjWPSkl15ilekMCmhFxERERERzxRAQg9QirOWwqqJsOJNm7baZUMBuKFWKbtxs9cfpVWFViRue8XhvKF1niOk5hgMficA2/f1r39jGQBvL9qZr9hFLiedQy8iIiIiIp6p0xP+Xe31aV/3/Yj2pk2w+ELFijfhwdVQvCo/jGhDclpmjg3ybKVmZAIm0hOi8Q2zP5PeYEohpNpbAJj3vuFwjq1HEuyOzBO5EmmF3onJkydTt25dYmJiCjsUEREREZErU7Nh0NH1ufCeaG/aZFuRcR7eawwvFcPXZHSazAO8+P0/AKQcHkD/Gve6vI+h6pPsPrOblEt21+82aaVngYtcZkronRg+fDhbt25l/fr1hR2KiIiIiMiVyWiC2j0u4w3NcP6syx6z1h+8UDLydPMRcHC0y/63zL+FZjMaYQw47J0QRS4jJfQiIiIiIuI5v+Dc+7R/Frq9mXs/d7xW2a5qxZPtHXb1MRnZ/NwdJO15AnOmv9MpzZgJrvIe/mV+8E6MIpeJ3qEXERERERHPhVdwXF+nF2ybbylHtYXKLSEjFX551lI3JA58AmBqx3yHUKlEkMv2rLTSnNv5EgCmoN0EVZ7qsJ9f8dX4FV9N5vkKQPd8xyVS0LRCLyIiIiIi+XPPL7bXperAbV/CiI0w8FtLMn+pqDaen2M/JtzyM70PJJ/O09BWFVrw662/uexjCjxM9LRo0jPT6fT2r0z/fb9ncYoUMCX0IiIiIiKSP5Wa214Png8GA5SoBjU6Z9cbDPZjOzwHpetCQETe77tnCbxexWHTDTXtj7UDGNGhBsUCQzi381lSjvZyOX3jrxqz+/g5nv/+H5JSnZ9hL1JYlNCLiIiIiIjXZDUYCCGlnbQ6SOivfxIe+h0e+dPzm/41067q08GOV/+bVi6GwWDAnBlK+plWDCw9m6y04k6nDq0Ti1+pX3ht4XbP4xMpIEroRURERETEa4wBHp7fHlQcBnu4Kd28ByjLKZsqH5PjVMdotP2jwpbDCSTtGcm5PSPJTCnrcIx/yaV8d3YAH/71oWfxiRQQJfQiIiIiIuI9BhcpRmRz520AVa63vS4T7fZt1wSMcNrWunoJp22rdp8ETJjTSpG871FSjvR12veDTR8wY9sMt2MSKWhK6EVERERE5PKo2AQG/wiP/p1734hK8OCqPE3f3LDNYX358EC3xterEE56fAyJ21922mf8uvFUffETomLjOHQmOU/xiXibEnoREREREfEis+vmKm2hmP1Z8k4NXwftRsO9S3Pt+j//sQ7rb25kOVqvZpkQl+O3HE6wFMx+LvsFV51EaJ1Y2rz+s6W72UxUbBxjf9yaa4wi3qRz6EVERERExHvMuST0eVWqFrSLtZSHLIAvurns7ksGmRjh2D+W3fMNBlpXL8niJ26gYjH3VuoBErdNALIAAwbfM4RUf92uT2jtF4ie9gKJ28YDBj5dtY/nutfB4Gg3f5ECoBV6ERERERHxHnOWl+ZxUBfVOtdhd5t+Ym/AnfBhK3gpwnJe/YkdVC8dQoCvydqvSslgu7Hhgb6X1BgBA+b04iTtfdTpPUPrjLYGvG7f6VxjFPEWJfQiIiIiIuJFXlqh9wvyaNgzvvZH2DG5mV3VvIfs/zhQt5zzHfqzUsvRt4bzDfNC64wGYyq3f7wGgCXbjhEVG8euY4luRC3iGSX0IiIiIiLiPfl95L7f51C8GvT91HW/nu9Cs/vdn/etOjaXYYH2bx/3bxbJg+2qOZ3iqZinXN4itNaL+JedB8DQaRsA6PzOCvdjFMkjJfQiIiIiIpJ/F4+Yq397/uap1wce2Qhl67nuZzBBXt5VTzwC+1bCr2/A2QMO33Pv1aA87WuVdjpFoE8gSXsfIyOpKueP3Oqwj1+xNURPiwZTkvuxiXhIm+KJiIiIiEj+3bcEzh2zHDd3OQRGQLGovI2Z1sPyuWwcPH/SpqlF1eIYDAZiooo5HZ6WmUVWalnOHxgGQHJ6OEGVpzrsG1rTsuN+4rZXSU7LIMhPqZd4n1boRUREREQk/3z8L08y3/1taHgn1OoGTYdCqxGezTO2pM3lP0csR9ZdunIf4JudMqVm2G74l5lcjWbFbyE90fZx/pxC6zzDTzs2MnfjIaJi4xj06VrP4hVxQAm9iIiIiIhcPWKGws2TwWgCHz/oMg4aD/Zoqv0Bd1jLUSXsd70HWP9sJ2s54Xz6Ja0Gju7rTMrhgS7vM2bjUEZ9/xMAK3eddNlXJC+U0IuIiIiIyNWt2xseDzViWXV/49b6DttDA7KPslu+44Rd+z9HEsDsQ/KBe0g+cDelMrs7nCe46iSM/kc9jlPEESX0IiIiIiJydfPx93joYz7fAu5tzl+/YrjTtsykmmQm1SI0uYfTPsFVJxJU9S1OJ6UBMOGn7Ww5HJ+3gEVyUEIvIiIiIiJXv6f/9WjYIz7zAMjMyj2jHxe3Ldc+RxNSSNwxhuR/7yP1eFe7dpP/CW74tgnXvTqZKb/uocd7qzDn96g/uWYpoRcRERERkatfYITtdYM7HHZzxEQmtQ7PgYQjNvXVStm+V79u3+lc5zqWkApZAWQmVyPtVHun/YwVpmAK3A/A+v1n3I5VJCcl9E5MnjyZunXrEhMTU9ihiIiIiIhIXrR8GHpOhDu+gWeO5Np9T8AgfBc8Dm/Xgazsneyrlgqx6Zdzx3t3JW6bQPLBuxy2BUVNIbj6q8TO+ZtXF2wjKjaOETP/zPM95NqlhN6J4cOHs3XrVtavX1/YoYiIiIiISF4YDJb36mt2Ab9gaHSn+2NfLsZ3d0TSs0F5Xrmlnk1TSnp2sv98j7o2bXe3jrKWezYob9OWea4O54/0c3g7o28CJ0qN4KsDjwPww6bc/wAhcpESehERERERKWIMzptaDM91dKO5bXlvQCNKhwY47dOnUQWb6/4xlazl33ZfejSdgYz4pi5X602Bh/EJ3ZRrbCI5KaEXEREREZGixXBJmpNz07ngku7NkePRe0eKBfvZXEcWD7SWT13Yxd6RzHN1qX7e8TF7gRVnElonluNJluPx3NmoT65tSuhFRERERKRosUvocyTnze+HqLa5z/FysTzd0sfofmrVtmoVEneMcdre8dsORD3zDdWeWcCdU9fmKQ65tiihFxERERGRoqFyG8tnw0t2uG/1iOUz+jbLO/VDfoS2o7x6a1+Ti8f8LxG3+T/ICiBx2wTO7RnpsE9orZcJqPglq+we3xfJpoReRERERESKhsE/wNP7oWQN2/oydS273ff5OLvuhqdzny/xqNu3NhjcT+j3nEiyls1ppTi3+ymH/XxDt+IT9ieZWZluzy3XFiX0IiIiIiJSNBiNEOjkUXm/YMvu9xf5+Dnul9NbtWBMOHEjWnsUzqU74ZcPd7zJnjm9OInbJpBxrqZdW2CF/9FwekOip0V7FIMUbUroRUREREREXKhzfIHD+ksfs+9Rv5zN9dA2VWyuj8SnuLzP+YP3kJXm/N396GnRZGRluJxDri1K6EVERERERFwwfv+gzfWsYS0A+O6h1tSvGM6Me5sDtkfXOVIhItBlO0DSnqdJOdrDaXuj6Y1ITk/OdR65NiihFxERERGRa1Nki+xyhaYuu/qSvTJeLMjyuH69CuHMf7gNrapbjsIL9DO5nKNHg3Iu2y9KP9OGlCN9nbY3n9Gc6GnRnE457dZ8UnQpoRcRERERkWtTeMXscp+PoVwDp113BdxlLQf6Ok7cg/3t60vkOK/+o1/3uh1aenwM53Y9TeL2l532ueF/NxA9LZqsnMfyyTVFCb2IiIiIiFybfHNsUleiGty/AiKb5zoswNcIJ3ZC/CFLxfqp8PWtBDtI9Ps3iwSgeZXieQ7PnFEMzH4kbptA0v4HnfZr8GUDUjJcv58vRZMSehERERERuTZVbGZfN/Bbp92jDZYV9pADi2FyDLxzHXzaBeJGwq5fiHyvPPea4mzGPNapJp/fHcPUwU2Jvam2x6Fmna/ssj3m6xgeWvyQx/PL1UkJvYiIiIiIXJsaDYJub8IDq7PrAsKcdh/r+xmL/UYR9O3A7MqDa236POf7Nf6k8ZHv2/DXTHyTT9C+VmlCA3wZ1raqy3BC/X1ctqcc7e2yfeXhlczfM99lHylaDGaz2VzYQVzJEhISCA8PJz4+nrAw5/9xi4iIiIhIETEm3LvzDVsO5RsBEBUb57pvLuqWC2PrsaP4hm3Br+QijL6Jdn0G1LqLYQ3upmRgyXzdSwqPu3moVuhFREREREQK0sftHFb3bFAef5+8pWRb/0uArCDSzzYjafezJP97n12fmTu+pP3s9jq3/hqghF5ERERERMQR32DvzTUmHN6zPRrvgRuq0i3avaPsnMlMrkbq8a5O2xtNb8R7f76Xr3vIlUsJvYiIiIiIiCPhFbw736ld9DcttV4eOJXMwOaVAGhZtQTDrnf9jr0zaafak7htgtP2j//+mOhp0SSnJ3s0v1y5lNCLiIiIiIjk5HPhOLsq13t96gm+UwnnHAClwwJoGlWcNaM7Mn1oM0bnYxd8gPTEOi7bm89ozo7TO/J1D7myKKEXERERERHJ6aE10HU8dHyxQKbfFDAMgNKh/gCUDQ/Ax2TEYDDY9Hv/jkZ5mjfl0GASt43j/OHbnPbp90M/vtjyRd4CliuWEnoREREREZGcileBlg9ZjrBr/2yB3GKoKY7ISeUs79bHH3LYp3ZZT07Z8iEjoTGJ21/i3M7nHfZ464+3iJ4Wzc/7f/ZgfrmSKKEXERERERFx5oanCmTa532/zr545zrISIOMVJs+5cIDPL+B2R9zZjCJ28fRuFQzh11G/TqK6GnRrP1vref3kUKlhF5ERERERMSVoBK59+n1HrR+1PN7jCsF40oTSIq1yteUna7VKhPq2bxmH35d0Ydzu5902uXeX+6lx3c9PJtfCpUSehEREREREVeGxOXep/Fd0Pnl7OvKraF23pPkbQH3YCQLAL8cZ9SXDPXL81w5mdNLkLjtFRqVdvxe/r8J/5KYlpive8jlp4ReRERERETEFb8Q+7q+n7oeU60D9P8a/MPzfLu//e+1q0tKzczzPPZMrPj1dhK3j3XY2mpmK6KnRfPg4gcxm81euJ8UNCX0IiIiIiIiroRXtL1u8zhE9wODyfmYizvWG5x3cSbEkP3YfftapSgR7MdfB8/mfSJnzL4kbhtP49KNHTavOryK0atGe+9+UmCU0IuIiIiIiLhyyXFytB1p+bzrewguBbdNdzTowoeLpN+F/QF3wI9P8NmQGNY809GjOVwzMO2maWwevNlha9zeOKKnRbM/fn8B3Fu8RQm9iIiIiIhIXvhf2KCuSlsYtQvq9rLvE1LG8lmpheXT5A8NBuTtPhs+xfC/O/E1GTEZPVjqz8XR+BT+PnSWDpEdnPbpOa8n0dOiSctM8/r9Jf8MZr0c4VJCQgLh4eHEx8cTFubJOZAiIiIiInLVG5PjXfgx8c77bZkL+1fBTa+DyQeSTsFvk6DRnVCiOrwUkfd7P3+KQwlptHltWd7HuuGHh1uTZNpOjYgatJvdzmm/md1nUq9kvQKJQWy5m4dqhV5ERERERMRb6vWBHm9bknmA4BLQ+SUoWcP+0X13TWlNxWJB3ovxEj3fX02Lci0oEViC73t/77TfgLgBRE+LJik9ifTM9AKLR9ynhN6JyZMnU7duXWJiYgo7FBERERERKSqa3Z9dHrHRvaPtTmy3q3q2Wx0vBpWtakRVNg7ayL3R9jvtX9RiRgsaf9VYj+FfAZTQOzF8+HC2bt3K+vXrCzsUEREREREpdN5/h50S1cDXzZX3MeH4kb0q3r9ZJD5GAzXLhODt1+t9jb482vhRvun5Da3Kt3Lar8lXTYieFs2qw6u8G4C4TQm9iIiIiIhIbgK8tJ+Wq8fu+3zicujOgMHWcmiAL1te6spPj16Pv0/2TvqPdKjuUVhbDseTmWW7vVrt4rX5qPNHzO011+XYBxc/SPS0aO795V4yszI9ur94Rgm9iIiIiIhIbnwCvDPPpXuSt37E8hl9K9S/LU9TBfiaMBkNPNSumrVu0tLdHoXV471VVHtmgcO2GsVqsHnwZsL8XP9RY+1/a2k4vSHpWXq//nJRQi8iIiIiIpKb0LLemccv2Pa6bDSMPpTr6vxFdQz/2tXdFF3OWm5Xq1S+wrtoy+F4omLjGPTpWtIysjh1LpXVA1azefBmFvRxnPhf1Hh6Y/47959X4hDXdGxdLnRsnYiIiIiIcGoPfHc/tB0JtW7yfJ7zZ+CrfpYV+RYP2LfnPB7PiSopX7Ev+kuo1w/++ILU1BRq/TsKgCl3NuaBrzZ6Hp8Ly0e1I6pk9h8kMrMyaTi9Ya7j/r7rbwye7vB/jXI3D1VCnwsl9CIiIiIictm4kdA7E5XyNZ8OjqFceCD7TiYxfIb3E/s5D7aicaUIa4KekpHC1M1TycjK4NMtnzod933v76kaUdXr8RRVSui9RAm9iIiIiIhcNjkT+mePwivuP+q/LqsWNUJSKTbsR4iIJCo2rgAChLJhAax5pqNd/X/n/qPLnC5Ox91U5SZev/71AompqHE3D9U79CIiIiIiIleK626xfNbuAb6BeRrazLiDYsn7YWI9OLHD+7FdcDQhhajYODq8uZysHDvjlwspx+bBm52O+2nfT7Se2ZqEtIQCi+1aoxX6XGiFXkRERERELpvUc7B7EVTvBP6h+XoEf2G/HTzw1R9eDM65/RO6W8t/Hf+LRf8uolbxWjy76lmH/VuXb82UzlMuS2xXI63Qi4iIiIiIXG38Qyyr9P6h+Z7qxm9rYcJyLvyAZpH5ns+VnOvEDUs35MmYJ+lVrRdr71jrsP/qI6sZtGAQGVkZBRpXUaeEXkREREREpIja4j8UgKysgr1PldELiIqN49IHwIN8g5w+hv/Xib9oNL0R0dOi2Ru/t2ADLKKU0IuIiIiIiFypWj8Gxap4PDzQkIaBLH74+whVSgZTr0LBvkY8a/1Bh/V/DvqTsa3HOh3Xe15v/jn1T0GFVWTpHfpc6B16EREREREpdFM7w6F1Hg39KKM7Z9u8wKgutTAAVZ9Z4N3YcqhUPIgVT7V32eeN9W/w5dYvnbZ/1OkjWlVo5e3Qrio6ts5LlNCLiIiIiEihO3vQsnt9fo2JL7Dj7HLKuUmeI0v+XcJjyx9z2ef9Du9zQ+QNXozq6qFN8URERERERIqKCBeb2nV70/15lr8GFPya7oy1B0hJzyQzy8z5tEy79o6VO7J58Gb+HPSn0zkeXvow0dOieWjxQwUZ6lVNK/S50Aq9iIiIiIhcEXIeYddpDCwec6E+Ps/H20WlzPBaWO7Y+Hxnigf7OWwzm828seENpm+d7nKOcP9wVvVfVRDhXXG0Qi8iIiIiIlJUVXXynvpd37s1/Fmfr7wYTO4aj11EVGwc6Zn22+0bDAaeinmKxf0Wu5wjPjWe6GnR/Hfuv4IK86qjhF5ERERERORqU74hdHwB+n5qW+/mA9j3+RTcxniuPDbrL6dtZYLLsHnwZjbdtYmRTUY67ddlTheip0UXQHRXHyX0IiIiIiIiV4Pg0rbXbUdCdD/bOoPB7emMFPDh9A7Ebf6P2Dl/u+xjNBgZUm8Iq/qv4pMunzjtFz0tmqNJR70d4lVFCb2IiIiIiMhVwcXqe8M7oUJTqNzG7dn2BtxJWU55Ia68cXZW/aXC/cNpUa4Fmwdv5vcBvzvs0/nbztf0ar0SehERERERkauBq8fpb54M9y0Bkw8MmgedX3ZryjUBIzAUwkp9VGwco+dudrt/iF8Im+7a5LQ9elr0NZnYK6EXERERERG5Krh5QFm19tD6UbjnF7e67wu4Mx8xeW7mugM8+c0mjpw971Z/o8HI5sGb2TzY+R8CoqdF8/zq57lWDnNTQi8iIiIiInI1uOl1y2frR93rX6l5wcXiJd/8cYhWE5bmedzmwZt5sumTDtvm7Z5H/S/r5ze0q4ISehERERERkatBdD94ap/bj9Pb6PCc9+MpZHdddxebB2+mZ9WeDtujp0Vz6vzl3yPgclJCLyIiIiIicrUIKu7ZOIPr1M+fNJftr/WN5pO7mnp2bzdExcax+VC8R2Nfbfsqc3vNddjWbna7Iv1uvRJ6ERERERGRos7o47J5R8AQSpKdUC8ZeQM1y4RcuDLTqXQineuUdjzYS3q+v8rjsTWK1WDjnRv5+y7HR+JFT4smIS3B4/mvVEroRUREREREirri1aDmTVCvn9MuGwIetJar/XIPv8T3Yn/AHewPGEiJz1vBlDaEGLNX8uc/3JpnutUu0LDzwtfki8FgYEa3GQ7bW89szbIDyy5zVAVLCb2IiIiIiEhR1eRuKNcQanSBO2ZBv09zGWCmWcBB2PWzfdOxLWzxG0IQKQDUrxjByl0nvRpuakZmvueILhXtdKX+kWWPkJSelO97XCkM5mtlP38PJSQkEB4eTnx8PGFhYYUdjoiIiIiISP7MuQ82z3bYNC+zFTebfst1iqWZDelQoxi/13mWAXOOAQavhbdj3I34GI38dfAMjSsVw2DwfO6zKWdp+7+2dvWujr67Eribhyqhz4USehERERERKVLm3g9/z/LqlFEpjh9z94ZKxYNY8VR7j8dnZmXS74d+7D67G4Bg32DW3LHGW+EVCHfzUD1yLyIiIiIici3Jx4q3M+2NfzKgWaTX5wU4cDqZj1fs8Xi8yWjiu97f8Vrb16hdvDY/93XwOsFVSiv0udAKvYiIiIiIFCmLXoDV73p92sRqPRmU8CB/HTzr9bkBGlQM5/uH2xTI3FcardCLiIiIiIiIvbaj4Lpb4PavvDpt6J4fmBY40atz5rTpUDwvfL/l/+3deViU9f7/8deAMoAKKotabriLmUuhZujR0l9uR1OTdrciTQ/5q8xWraOeTp22b+eI5vm1qD+O2Uk7Xi0ulUuaknJMKOEo4UKiHgmVGRRBZOb7hzE6AcoyMHMPz8d1eTH3fX/uz/2+6dMwr20yvh0AAB6fSURBVLk3FRRV/8Z53oJADwAAAAB1iX+QNGGZ1PX3Lu86+OcvnaaX3N/bpf2vSMxUl7kb1PaZL1zar1ER6AEAAAAALhNl2i9JemVcd0VFNK2x7XD1OIEeAAAAAOBCH5vnS5KCAuqr+PiPCtJZSdIbE3poSNdmLttOxLPrlHTktMv6MyICPQAAAADUVWOX1ki3HU1ZGrGmi5qtvF0/+D+iI/73acSmoeoWbnbpdia8k+jS/oyGQA8AAAAAdVWPe6Rnjrq826/Mc0rNC8g/rsd31Y271NcWAj0AAAAA1GX+FXg89+Op0j0rXbK5A+aJLumnRF2+QR6BHgAAAABQWlDLSz9NPlJwS6nLyN80MEnNu1e6W7PponxVrG1PDa5+jb9KOZqrpd8c1KmzhS7r0whMdm4NeFVWq1XBwcGyWCwKCqrAN1cAAAAAYDQvBTtP95sp3TJD8vWT6gdK5oal272QLZ0+JC3uV+XNti1wzVH/K6XM+z8KDqzv8n5rU0VzKEfoAQAAAKCOO3Pz447XxZ1HScNevnRUvmH45TAvSTJdflnPLNmKq7XdI/736Xr9Uq0+fqvH/C91tvCiS/v0VAR6AAAAAKjjzkbe43hdNPzN8htO/kIKDJUmLLs03TSi2tve4T+r2n381ry1+1zepyci0AMAAABAHWfyrXd5wqde+Q3b3io9lSF1G3tp2q+BNOew9GxWzRZYSZ/sPaYdGTnuLqPGEegBAAAAoI4zOU2YymtW9vLAppK5kdTnkSpv/4j/fZJce3u3+9/d5dL+PFGdCfSFhYUaP368Xn31VXeXAgAAAAAeJayR2fHaz/cagb48I16TbnuhyjUc8b+/yuuWx9sfaVdnAv3zzz+vkJAQ/fTTT+4uBQAAAAA8ypUh3sfHt+od9Z7kgmpcy5tDvUcEervdroKCAtlstqu2u9by8nz22Wdq0aKF+vfvX6X1AQAAAMCr2a/IWqZqxMSG4ZdfRz0sxay4PB0YWvV+q+mdbw66bds1ya2B/pdfftErr7yidu3aKSAgQNu2bSvV5sKFC4qLi1NwcLDMZrMGDBig1NRUx/Iff/xR0dHRZf4rLi7WsWPHtHbtWj355JO1uWsAAAAAYBz2K65fr06gv1LrW6TIMdKjidLkddLsn6SbH7rqKpeupZeeH9FVvrr0SLzhNzSvdimr93jWTftc5Sq3L6x5S5Ys0blz57R8+XL97ne/K7PNnDlztHbtWm3fvl2tW7dWXFyc7rjjDh04cEANGjRQmzZt9Morr5S5rq+vr+bOnas9e/YoOjpa2dnZslqtWrBggebOnVuTuwYAAAAAxhF0vdSwuVTfX6of4Jo+S74YaBZ5ed6VR/CvInZzL8X6/zqRId3r87wSbd2qXEpG9lltOZCtwZ0rtn2jMNntdtfeSrAKsrKy1KpVK23ZskWDBg1yzD937pzCwsL05ptvavr06ZKkM2fOqFmzZlq6dKmmTJlyzb7379+vnJxLjytYv369fvjhB73xxhvq1KlThWqzWq0KDg6WxWJRUFBQ5XcOAAAAAIyguOhSCK/ONfSS9FLwpZ8Tll1+vF2J1LXSx1W7zn7Khae0xdarWqUdeWVktdavLRXNoR5xDX15kpOTdf78eaej902aNFGPHj2UmJhYoT66dOniOAW/Y8eOatas2VXDfGFhoaxWq9M/AAAAAPB6vvWrH+avVK+MI/1XXqs/dH6luvvA7zVFmfbLR1W7t5o38uhAf/LkSUlSWFiY0/zw8HDHssoYMWKEnnnmmau2+fOf/6zg4GDHv1atWlV6OwAAAABQZw16Vuo8Quo4tPSy9rddOgvg+pulW2dVuuuPzfN1yP8B3erzowsKNT6PDvQlfnt3e5vNJpOp8s9GDA8PV4cOHa7a5tlnn5XFYnH8O3r0aKW3AwAAAAB11qBnpHs/LPtof0Bj6bkT0kNfVWsT//D7c5XWm/b//12t7Xoajw70LVq0kCRlZ2c7zc/Ozlbz5tW/02FZzGazgoKCnP4BAAAAAFykvr/k82sU7VDGUfwK6ueTVul1NqZW/kxvT+bRgb5nz55q0KCBtmzZ4piXk5OjlJQU3XrrrW6sDAAAAABQbXe9L41/r0qrrvJbqGE+u11ckLG4NdAXFxeroKBAhYWFki49c76goEAXL16UJAUEBOixxx7TwoULtX37dmVmZio2NlZt2rTRhAkT3Fk6AAAAAKC6/IOk7ndVefV3/P7HdbUYkFsD/cqVK9W4cWN169ZNZrNZo0ePVuPGjZ2eK79gwQLFxsbq/vvvV8+ePVVUVKSvvvpK/v7+V+kZAAAAAGAYt/5fd1dgSB7xHHpPxnPoAQAAAKAWlDy/vpJ+sl2voRdeq3B7IzyL3iueQw8AAAAAqBusrW6r0nodfY6ps+ln7TU/ojCdcXFVno1AX474+HhFRkYqKirK3aUAAAAAgNfLb9HPeUZgyKWfD2+65robzc+oiemskvxn6oj/ffJVcQ1U6HkI9OWYOXOm0tLSlJSU5O5SAAAAAMDrnWs16PLE8/+Vnjp46WfLmyvd1xq/l1xWlycj0AMAAAAA3C4irOHlCZOvZDJJ9QOq1FdPn4MK0lkXVea5CPQAAAAAALfz8bkinpp+E1Vb/nopdPeKP778B/9HXFCVZ6vn7gIAAAAAAJDtiuvefXydl933Tyl9g9R1tGQ5Jv28s0Jd3mzar3/bu7iwSM/CEXoAAAAAgGcxmZynA5tKPe+TzA2lmBVS/8cq1M1q83x1Mx1xmudNT24n0AMAAAAA3C88UooYKHWPuXq7hmHSbS9UuNsvzM9Juhzii20EegAAAAAAXMfHR5r0mTT+/127bT2z9MAnFe76z/Xedby+SKAHAAAAAMCNOtxe4ab31tvieG3jlHvvFx8fr8jISEVFRbm7FAAAAABANbU1nZDEKfd1wsyZM5WWlqakpCR3lwIAAAAAqKat5iclEegBAAAAAPAso/5H8jVfs9muw6drvpZaQqAHAAAAABjfzVOkudnSS5arNjuRe76WCqp5BHoAAAAAQJ0wxudb9WjV2N1luAyBHgAAAABgTLf84dLPAbMr1Pxtv8XynivopXruLgAAAAAAgCoZukDqPVEK7VThVS4We0+kJ9ADAAAAAIzJx0cK61ypVS4W22qomNrHKfcAAAAAAO8S97308GbZGzYvtciLnlpHoAcAAAAAeJmQ9lLLm2TqPKzUInvxBTcUVDMI9OWIj49XZGSkoqKi3F0KAAAAAKAqWpbOcw1yUtxQSM0g0Jdj5syZSktLU1JSkrtLAQAAAABURY/7pJFvOs1qcmKHm4pxPQI9AAAAAMA7+fhIUQ85zTKfy3JTMa5HoAcAAAAA1BkmW7G7S3AZAj0AAAAAwLvdeLfjZWDeITcW4loEegAAAACAd/v9Xx0vg8/sc2MhrkWgBwAAAAB4t/r+jpdF9YPcWIhrEegBAAAAAHWI3d0FuAyBHgAAAABQZ/zU6RF3l+AyBHoAAAAAgNf7wXyzJKnAHOrmSlyHQA8AAAAA8Hp2k+nST7vNzZW4DoEeAAAAAOD17Po10Nu4ht7rxcfHKzIyUlFRUe4uBQAAAABQXSVH6LkpnvebOXOm0tLSlJSU5O5SAAAAAADVZPr1p/fEeQI9AAAAAKAO6NGysSSpT9um7i3Eheq5uwAAAAAAAGrcuKVScZFkbuTuSlyGQA8AAAAA8H4BTdxdgctxyj0AAAAAAAZEoAcAAAAAwIAI9AAAAAAAGBCBHgAAAAAAAyLQAwAAAABgQAR6AAAAAAAMiEAPAAAAAIABEegBAAAAADAgAj0AAAAAAAZEoC9HfHy8IiMjFRUV5e5SAAAAAAAoxWS32+3uLsKTWa1WBQcHy2KxKCgoyN3lAAAAAAC8XEVzKEfoAQAAAAAwIAI9AAAAAAAGRKAHAAAAAMCACPQAAAAAABgQgR4AAAAAAAMi0AMAAAAAYEAEegAAAAAADIhADwAAAACAARHoAQAAAAAwIAI9AAAAAAAGRKAHAAAAAMCACPQAAAAAABgQgR4AAAAAAAMi0AMAAAAAYEAEegAAAAAADIhAX474+HhFRkYqKirK3aUAAAAAAFCKyW63291dhCezWq0KDg6WxWJRUFCQu8sBAAAAAHi5iuZQjtADAAAAAGBABHoAAAAAAAyIQA8AAAAAgAHVc3cBnq7kFgNWq9XNlQAAAAAA6oKS/HmtW94R6K8hLy9PktSqVSs3VwIAAAAAqEvy8vIUHBxc7nLucn8NNptNnTp10p49e2QymSq8XlRUlJKSklzW9lptrFarWrVqpaNHj3rt3fgr8zs1ag2u6r86/VR2XVeP9Wu1Y6x7Rw2M9Wu3qwtjXfL+8W7EsV6ZdVzVri6Md8Z6zfdTk2O9om0Z694/1l3Z/9X6sdvtysvL03XXXScfn/KvlOcI/TX4+PjIz8/vqt+KlMXX17fC/5NWpG1F+wsKCvLaN4fK/E6NWoOr+q9OP5Vd19VjvaLtGOvGroGxXvF23jzWJe8f70Yc65VZx9XtvHm8M9Zrvp+aHOsVbctY9/6x7sr+r9VPRTIoN8WrgJkzZ9boOhVpW5UavI0n/A5qugZX9V+dfiq7rqvHelVq8DaesP+M9eq1Z6xXnCf8DmqyBiOO9cqsw1ivOE/4HTDWq7cOn9krxhN+B3Xhc0wJTrn3ElarVcHBwbJYLG7/RgyoSYx11BWMddQljHfUFYx1uBpH6L2E2WzWiy++KLPZ7O5SgBrFWEddwVhHXcJ4R13BWIercYQeAAAAAAAD4gg9AAAAAAAGRKAHAAAAAMCAeGwdAK+Rm5urnJwcSdL111+vgIAAN1cEAABQOVarVadPn1bbtm3dXQoMgCP0dcC+ffvUu3dvNWjQQOPHj1deXp67SwJqxEcffaRhw4apR48e2rFjh7vLAWrMsWPHNG7cOAUGBqpTp0764osv3F0SUCPsdrveeOMNNWvWTCEhIXruuefcXRJQo4qKijRhwgT169fP3aXAIAj0dcDDDz+sadOm6eTJkwoMDNTrr7/u7pKAGjFt2jRlZGRo8ODB7i4FqFGrV6/WpEmTdOrUKS1cuFBTp051d0lAjThx4oRyc3OVlpamlJQUffTRR9q9e7e7ywJqzLx58zR9+nR3lwEDIdAbQFFRkbZs2XLVP2DZ2dnaunWr0tLSnObn5eVp//79io2NVcOGDTVr1ixt3LixpksGqqSgoEAff/yx/v73v5fb5ueff1ZCQoI+/vhjnT59uharA1zrp59+0oYNG2SxWMpcbrPZtGfPHm3btq3UmVWzZs3SmDFjFBAQoD59+igkJKQ2SgaqJCcnRxs3btSRI0fKbZOenq6tW7fqxIkTTvOvu+46LViwQMHBwbp48aLq16/PeIfHOnHihN57772rftbevXu3li1bpo0bN6qoqMhp2YYNG9S0aVMNGDCgpkuFFyHQe7CioiK98MILateunWJiYjRnzpwy27322mtq06aNnnrqKUVHR2vIkCE6e/aspEt/RENCQuTjc+k/dXh4uOMaY8CTLFy4UO3bt9f8+fM1Y8aMMtusWLFCXbp00apVq/T222+rQ4cO2rlzZy1XClTPN998oyFDhmjQoEEaPny4/vOf/5Rqk5mZqRtuuEGjR49WXFycWrZsqU8++aRUO6vVqtjYWC1durQ2Sgcq5dChQ3rwwQfVo0cPjR49WqtXry7VprCwUGPGjFFUVJTmzJmjdu3aae7cuU5tTp06JX9/f0VERGjEiBFq3759be0CUCEWi0UxMTHq06ePXnrpJS1ZsqRUG7vdrsmTJ2v48OFat26dZs6cqb59++rMmTOSpP/+979atGiR7rzzTh0+fFjFxcU6fPhwbe8KDIhA78HOnz8vf39/7d69W2PGjCmzTWJioubMmaN//etfSkpKUnp6ug4ePOj4YxgWFqacnBzZbDZJ0smTJxUWFlZr+wBUVEREhFJSUvTkk0+WuTw7O1uPPvqoXn31VX3++ef69ttv9fvf/15TpkyR3W6v5WqBqjt69Kiefvppbd26tdw2U6dOVbNmzXTkyBGlpKToueee08SJE3Xy5ElHmxMnTmj06NGaO3cuR3PgkY4dO6ahQ4fq4MGDatKkSZltXn75ZSUlJWn//v3avXu3vvzyS7388stORzhDQkJ08eJFnTx5Unv37tWaNWtqaxeACikqKtJdd92lQ4cOqW/fvmW2WbNmjVauXKnt27frn//8p/bu3au8vDzNmzdPkrRz507t379fw4cP1913360zZ85o/PjxtbkbMCgCvQcLCgrSCy+8oBYtWpTbZvny5erRo4eGDRsmSQoNDVVsbKyWL18uu92uhg0bqlu3blq0aJFOnTqlN954w9EW8CT333+/QkNDy13+6aefymazOV0rHBcXp/T0dH3//feSpHPnzikjI0P5+fk6fvy4MjMza7xuoLIeeOABDR06VCaTqczlWVlZ2rx5s5588knVr19fkvTYY49JkuMIZ1pamkaNGqXXXntN/fv318WLF2uneKASBgwYoIkTJ8rf37/cNsuXL9fEiRMdn3UGDBigW2+9VcuWLZMkrV+/XsuXL1dubq7y8/N14cIFXbhwoTbKByosNDRUMTExjvfssqxatUqDBg1SZGSkJKlRo0aaNGmSVq1aJUkaN26cMjIylJGRod27dys0NNTx+Qa4GgK9wSUnJ6tXr15O83r16qUzZ87o6NGjkqT33ntPK1euVMeOHWUymco9Agp4stTUVLVp00YNGjRwzOvWrZtjmSRt375dw4YN088//6z58+dr0qRJbqkVqI7k5GRJcnpvDwgIUOfOnZWSkiJJio+PV0pKim655Rb5+/vL399fhYWF7igXqLLc3FxlZmaW+TmmZKwPGjRISUlJat++vQYOHKjo6Gjdfffd7igXqJbU1FRHmC8RGRmpnJwcZWdnO8339fVVREREbZYHA+M59AaXm5urpk2bOs0ruVnMmTNn1Lp1a3Xt2lXfffedO8oDXMZqtapx48ZO8wICAuTn5yer1SpJGjZsmDIyMtxQHeA6ubm5klTme3vJtZbx8fGKj4+v7dIAl6rIWA8ICNCiRYu0aNGi2i4PcKmyPseUXIpitVoVHh7uND8xMbE2y4OBcYTe4Pz8/HT+/Hmnefn5+Y5lgLcICAgodafvklMvAwMD3VQV4Hol791lvbfzvg5vwlhHXVLW55iSAxJ8jkF1EOgNrm3bto5T60tkZWXJx8dHrVu3dlNVgOt17NhRWVlZTtcKHzp0SJLUoUMHd5UFuFzbtm0lqcz39pJlgDdo1qyZAgICGOuoEzp27FjqrvWHDx9WgwYN1Lx5czdVBW9AoDe4YcOGacuWLU7PMV6zZo2io6OdrjUGjG7kyJE6e/asPv/8c8e8hIQEhYWFqV+/fm6sDHCt3r17KywsTGvXrnXM27NnjzIzM7mpKbyKr6+vhgwZ4jTW8/PztX79esY6vM7o0aP11VdfOR4fbbPZ9OGHH2rUqFGOx0sDVcE19B7um2++0fnz55WVlaXTp09rw4YNkuT4QzdlyhQtXrxYI0eO1KOPPqpdu3Zp3bp12rx5szvLBipt8+bNSk9PV2Jioux2u9555x1J0p133qnmzZurQ4cOmjNnjqZMmaJ///vfslgsWrp0qZYvX86pmTCUo0ePKjU1VSdOnJAkfffdd8rNzVXnzp0VERGhevXq6dVXX9W0adNUv359tWjRQn/60580evRoHk8HQzl79qy+/fZbSZcukTpw4IA2bNig8PBw9e7dW5K0YMEC9e/fX4888ogGDx6sd999V8HBwZoxY4Y7Swcq7YMPPlBhYaEOHTokm82md955R2azWVOmTJF06XGky5cv1+DBg3Xfffdp27ZtOnTokFauXOnmymF0JjsPcPZokyZNcnrucImSYC9duvndW2+9pZSUFIWHh2v69Om66aabarNMoNo++OAD7dq1q9T8p556Su3bt3dMr1+/Xl9//bXMZrPGjx/PWIfhrFu3Tn/9619LzZ86dapiYmIc0+vXr9c//vEP5efna+DAgZoxYwZfXsFQMjMzNW3atFLz+/btqz/+8Y+O6X379ik+Pl7Hjx9X165d9cQTTzjdIAwwgieeeMJxH6sSgYGBevPNNx3TBQUFWrFihVJTU9WiRQtNmjTpqo+nBiqCQA8AAAAAgAFxwQYAAAAAAAZEoAcAAAAAwIAI9AAAAAAAGBCBHgAAAAAAAyLQAwAAAABgQAR6AAAAAAAMiEAPAAAAAIABEegBAIDLff/99/r222+9ZjsAAHiieu4uAAAAVJ7NZtPevXt17NgxtWrVSt27d1e9ep7zZ/39999XVlaWoqOjq9XPtfbTVdsBAMCIPOcvPwAAqJADBw5o7NixOnfunHr27Knjx48rLy9Pr7/+ukaNGuXu8lymIvt50003KSIiws2VAgDgHgR6AAAMZtq0aWrdurW++OIL+fr6SpIyMzOVkpLiaJOWlqYffvhBkhQcHKzu3burZcuWTv3s2rVLdrtdN9xwg5KTk2WxWDRw4EA1atRIeXl52rFjh/z8/NS/f3/5+/uXud7evXuVl5engQMHqmHDhtes/ccff9TBgwfVqlUr9ezZ01F/VfezR48eys/PlySdO3dOn332Wal+GjVqpJEjR1apBgAAPBmBHgAAg9m3b59mz57tFETbtGmjNm3aOKYPHDigtWvXSpJOnz6tHTt2aN68eXr66acdbZYsWaLvv/9eVqtVkZGROnjwoCwWi/7yl7/oxRdfVNeuXZWenq7AwEDt2rVLAQEBjvVSUlJksVjUvn17ZWVlyWKx6Ouvv1ZkZGSZNefl5SkmJkb79u1Tr169lJ6erkaNGumzzz5T8+bNq7yfV55yn5+f79jnEtu3b1fDhg01cuTIKtUAAIAnI9ADAGAw/fr10+LFi9WhQwcNGTJEjRs3LtVm7NixGjt2rGN679696tevnyZMmKB27do55mdkZCg5OVmdOnXShQsX1LFjR/3hD39QSkqKIiIilJ+fr4iICH344YeaOnWqY73k5GRt3rxZgwcPVnFxscaNG6e4uDht2rSpzJpnz54tk8mkgwcPys/PTzabTRMmTNDs2bOVkJBQ5f28UlhYmFatWuWY3rRpk9asWaO33nqryjUAAODJCPQAABjM+++/r9mzZ2vy5MnKz89Xly5ddOedd+qZZ55RUFCQo53VatXevXuVnZ2t4uJiBQUFac+ePU6BfvDgwerUqZMkyc/PT71795aPj4/juvTAwEDdeOONSk9Pd6rh5ptv1uDBgyVJvr6+mj17tgYOHKhTp04pJCTEqe3FixeVkJCgGTNm6NNPP5XdbpfdblfLli21evXqau9nWQ4dOqSYmBg9/fTTiomJqXINAAB4MgI9AAAGEx4erhUrVujdd99VcnKyNm3apNdff12bNm1SYmKifHx8tGbNGj300ENq3769WrduLbPZrMLCQmVnZzv11aRJE6dps9lc6lp4s9msgoICp3lt27Z1mi75AiAzM7NUoM/OzlZ+fr6Sk5N19OhRp2WDBg2q1n6W5ezZsxozZoyio6O1YMGCatUAAIAnI9ADAGBQfn5+6tOnj/r06aN27drpnnvuUUZGhjp16qS4uDgtWLBAcXFxjvahoaGy2+0u2faZM2fKnA4NDS3VtlGjRjKZTIqNjVVMTEylt3W1/fwtu92uBx98UDabTQkJCTKZTC6pAQAAT1T2V9sAAMBjHT58uNS8kiPojRs3VnFxsXJyctS5c2fH8q1bt+rUqVMuq2Hnzp365ZdfHNOffPKJ2rRpU+pO+tKlMN2/f38tXbq01BcKx44dK3cb19rPsrz44ovatm2bPv30UzVq1KjaNQAA4Mk4Qg8AgMHce++9Cg0NVXR0tJo3b64DBw5o8eLFio2NVXh4uCRp1KhRmjVrlh5//HH98ssvevvttxUYGOiyGgIDA3X77bdr+vTpOnLkiN566y2tWLGi3NPgFy9erNtvv1233XabJkyYoIKCAm3atEnt2rXT3/72tyrv55X27NmjhQsXKjY2VklJSUpKSpJ0+bF1VakBAABPRqAHAMBgEhMT9eWXX2rr1q06cOCAwsPDtWbNGg0ZMsTRJiEhQUuWLNHOnTsVEhKijRs3KiEhwek09b59+8pmszn1/dtnzkvSwIEDSz3WbdiwYZo8ebLWrVunvLw8rVu3TkOHDnUsv+mmmxzX1UvSjTfeqNTUVC1btky7d+9WaGioHnvsMd1xxx3V2s8rt1OvXj3FxMTIYrE4Pb6uefPmGjlyZJVqAADAk5nsrrqYDgAA1AmTJ0923DUeAAC4D9fQAwAAAABgQJxyDwAAKqWsU/UBAEDt45R7AAAAAAAMiFPuAQAAAAAwIAI9AAAAAAAGRKAHAAAAAMCACPQAAAAAABgQgR4AAAAAAAMi0AMAAAAAYEAEegAAAAAADIhADwAAAACAARHoAQAAAAAwoP8FulbgWWehZ+sAAAAASUVORK5CYII=", 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", 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" ] diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index ce41f80b2..6cc667542 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -33,8 +33,8 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): Custom kernels >>> bernoulli6 = lambda x: x**6 - 3 * x**5 + 5 / 2 * x**4 - 1 / 2 * x**2 + 1 / 42 - >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) - array([ 1, 12589, 15515, 3957, 1879, 8985, 15139, 9529, 7363, 6089]) + >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) # doctest: +NORMALIZE_WHITESPACE + array([ 1, 12589, 15515, 3957, 1879, 8985, 15139, 13625, 7363, 6089]) """ if kernel is None: @@ -158,19 +158,13 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): wssd = wssd + omega(1 / 2) * prodV[-1, 0] wssd = wssd + n_max * k0 - n_max * (n_max + 1) / 2 - # Choose the best candidate, using the smallest index in case of ties to avoid different platforms providing different outputs - min_wssd = np.min(wssd) - rtol = 1e-15 - best_indices = np.where(np.abs(wssd - min_wssd) <= rtol * np.abs(min_wssd))[0] - bestIdx = int(best_indices[0]) + bestIdx = int(np.argmin(wssd)) newH = int(gR[bestIdx]) # Avoid duplicates while newH in gen_vec: wssd[bestIdx] = np.inf - min_wssd = np.min(wssd) - best_indices = np.where(np.abs(wssd - min_wssd) <= rtol * np.abs(min_wssd))[0] - bestIdx = int(best_indices[0]) + bestIdx = int(np.argmin(wssd)) newH = int(gR[bestIdx]) gen_vec[hComp - 1] = newH From 3fae5f316d1a37ddca60f0ae4b633bb725b2cf4e Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 31 Aug 2026 14:14:07 -0500 Subject: [PATCH 31/36] Potential fix for test failure --- demos/lattice_kronecker_methods.ipynb | 12 ++++++------ .../lattice/lattice_vector_wssd_search.py | 5 +++-- 2 files changed, 9 insertions(+), 8 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index f84060c4d..baaf57a58 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -119,7 +119,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 4, "id": "524e3b99", "metadata": {}, "outputs": [ @@ -127,7 +127,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 0.22767972946166992\n", + "Time taken for lattice vector wssd search: 0.22052884101867676\n", "Searched lattice vector: [ 1 4825 13541 15249 15405 9909 7493 11407 14819 10089 3683 3347\n", " 13789 8837 5309 6307 6447 12103 9097 2767]\n" ] @@ -159,7 +159,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "id": "09388fbc", "metadata": {}, "outputs": [ @@ -167,7 +167,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for kronecker vector wssd search: 8.094721794128418\n", + "Time taken for kronecker vector wssd search: 8.217090129852295\n", "Searched Kronecker vector: [0.61803399 0.26774665 0.91444648 0.22708655 0.12137476 0.71267465\n", " 0.69787961 0.10230792 0.18609503 0.31195642 0.41561801 0.13176115\n", " 0.22004561 0.56882224 0.8920797 0.79690426 0.54748361 0.74175085\n", @@ -200,7 +200,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 6, "id": "9f66d72b", "metadata": {}, "outputs": [ @@ -210,7 +210,7 @@ "Text(0, 0.5, 'Periodic Discrepancy')" ] }, - "execution_count": 26, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 6cc667542..23ac3ef46 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -32,9 +32,10 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): Custom kernels - >>> bernoulli6 = lambda x: x**6 - 3 * x**5 + 5 / 2 * x**4 - 1 / 2 * x**2 + 1 / 42 + >>> bernoulli6 = lambda x: x * (x * (-1/2 + x * (x * (5/2 + x * (-3 + x))))) + 1/42 >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) # doctest: +NORMALIZE_WHITESPACE - array([ 1, 12589, 15515, 3957, 1879, 8985, 15139, 13625, 7363, 6089]) + array([ 1, 12589, 15515, 3957, 1879, 8985, 15139, 9529, 7363, + 6089]) """ if kernel is None: From 63702b479476028ce76bec94730958549e0df980 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 31 Aug 2026 21:49:18 -0500 Subject: [PATCH 32/36] Potential fix for tests --- demos/lattice_kronecker_methods.ipynb | 25 ++++---- .../kronecker/kronecker.py | 10 +-- .../lattice/lattice_vector_wssd_search.py | 62 ++++++++++--------- 3 files changed, 51 insertions(+), 46 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index baaf57a58..de3c2ecdf 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -47,12 +47,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "63.56019337916131\n" + "42.48726056679934\n" ] } ], "source": [ - "dim = 100\n", + "dim = 20\n", "n = 2**15\n", "lat = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12) # initialize a lattice as usual\n", "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)]) # define some coordinate weights\n", @@ -82,19 +82,19 @@ "name": "stdout", "output_type": "stream", "text": [ - "[39.95402303]\n" + "[34.65168403]\n" ] } ], "source": [ - "dim = 100\n", + "dim = 20\n", "n = 2**15\n", "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)])\n", "\n", "kron = Kronecker(dimension=dim, seed=12, generating_vector=\"CBC_MT\") # initialize a Kronecker sequence as usual\n", "kron_k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) # define the kernel function (in this case, the second Bernoulli polynomial)\n", "\n", - "kron_discs = kron._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", + "kron_discs = kron.expected_square_periodic_discrepancies(n_max = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", "\n", "sample_weights = np.arange(1, n+1) # define some sample weights\n", "kron_wssd = kron.wssd_discrepancy(n = n, sample_weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the wssd\n", @@ -127,7 +127,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 0.22052884101867676\n", + "Time taken for lattice vector wssd search: 0.18679571151733398\n", "Searched lattice vector: [ 1 4825 13541 15249 15405 9909 7493 11407 14819 10089 3683 3347\n", " 13789 8837 5309 6307 6447 12103 9097 2767]\n" ] @@ -140,7 +140,6 @@ "coord_weights = np.array([j**(-2) for j in range(1, dim + 1)])\n", "\n", "bernoulli2 = lambda x: x * (x - 1) + 1 / 6\n", - "bernoulli6 = lambda x: x**6 - 3 * x**5 + 5 / 2 * x**4 - 1 / 2 * x**2 + 1 / 42\n", "\n", "time_start = time()\n", "searched_lattice_vector = lattice_vector_wssd_search(n_max=n, d_max=dim, kernel=bernoulli2, coord_weights=coord_weights) # search for a lattice vector with low wssd\n", @@ -167,7 +166,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for kronecker vector wssd search: 8.217090129852295\n", + "Time taken for kronecker vector wssd search: 5.971957206726074\n", "Searched Kronecker vector: [0.61803399 0.26774665 0.91444648 0.22708655 0.12137476 0.71267465\n", " 0.69787961 0.10230792 0.18609503 0.31195642 0.41561801 0.13176115\n", " 0.22004561 0.56882224 0.8920797 0.79690426 0.54748361 0.74175085\n", @@ -200,7 +199,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "9f66d72b", "metadata": {}, "outputs": [ @@ -216,7 +215,7 @@ }, { "data": { - "image/png": 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", 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" ] @@ -232,12 +231,16 @@ "lat2 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=np.uint64(searched_lattice_vector), m_max=20)\n", "lat_discs2 = lat2.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", "\n", + "kron2 = Kronecker(dimension=dim, generating_vector=\"RICHTMYER\", seed=12)\n", + "kron_discs2 = kron2.expected_square_periodic_discrepancies(n_max = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1)\n", + "\n", "# Note that the new lattice rule beats the Kuo lattice rule for low sample sizes, but they are comparable closer to n = 2^20.\n", "\n", "fig, ax = pyplot.subplots(nrows=1, ncols=1, figsize=(12,10))\n", "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs1), label=\"Kuo Lattice Discrepancy\")\n", "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs2), label=\"New Lattice Discrepancy\")\n", - "ax.plot(np.arange(1, n+1), np.sqrt(kron_discs), label=\"Kronecker Discrepancy\")\n", + "ax.plot(np.arange(1, n+1), np.sqrt(kron_discs), label=\"CBC_MT Kronecker Discrepancy\")\n", + "ax.plot(np.arange(1, n+1), np.sqrt(kron_discs2), label=\"Richtmyer Kronecker\")\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.legend()\n", diff --git a/qmcpy/discrete_distribution/kronecker/kronecker.py b/qmcpy/discrete_distribution/kronecker/kronecker.py index f06a50045..1d392de40 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker.py @@ -458,7 +458,7 @@ def periodic_discrepancy(self, n, k_tilde=None, gamma=None): if k_tilde is None: k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) - return np.sqrt(self._square_periodic_discrepancies(n, k_tilde, gamma)) + return np.sqrt(self.expected_square_periodic_discrepancies(n, k_tilde, gamma)) def wssd_discrepancy(self, n, sample_weights, k_tilde = None, gamma = None): @@ -469,14 +469,14 @@ def wssd_discrepancy(self, n, sample_weights, k_tilde = None, gamma = None): if k_tilde is None: k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) - discrepancies = self._square_periodic_discrepancies(n, k_tilde, gamma) + discrepancies = self.expected_square_periodic_discrepancies(n, k_tilde, gamma) return np.sum(sample_weights * discrepancies, axis=-1) - def _square_periodic_discrepancies(self, n, k_tilde, gamma): - n_array = np.arange(1, n + 1) + def expected_square_periodic_discrepancies(self, n_max, k_tilde, gamma): + n_array = np.arange(1, n_max + 1) # we need the points without a random shift for the calculation, so we can't use self._gen_samples - i = np.arange(0, n) + i = np.arange(0, n_max) points = (i[:,None] * self.gen_vec[:,None,:]) % 1 k_tilde_terms = k_tilde[0](points, gamma) diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 23ac3ef46..bc4318fa2 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -33,11 +33,13 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): Custom kernels >>> bernoulli6 = lambda x: x * (x * (-1/2 + x * (x * (5/2 + x * (-3 + x))))) + 1/42 - >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) # doctest: +NORMALIZE_WHITESPACE - array([ 1, 12589, 15515, 3957, 1879, 8985, 15139, 9529, 7363, - 6089]) - """ + >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) # doctest: +NORMALIZE_WHITESPACE +ELLIPSIS + array([ 1, 12589, ...]) + + The algorithm in its current form is sensitive to differences in floating point precision across platforms, hence the nondeterministic nature of the example above. This can cause differences in generator quality, though in my ad hoc testing it is usually not catastrophic. It was originally built on a Windows machine. + """ + np.seterr(all='warn') if kernel is None: kernel = lambda x: x * (x - 1) + 1 / 6 # default kernel is the second Bernoulli polynomial if coord_weights is None: @@ -60,11 +62,11 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): m = np.ceil(np.log2(n_max)).astype(int) # ---------------------------------------------------------------------- - # Set up rhovector + # Set up rhovector - how often each value appears # ---------------------------------------------------------------------- - bits = np.zeros((n_max, m), dtype=int) + bits = np.zeros((n_max, m), dtype=np.uint64) for i in range(n_max): - bits[i, :] = 2 * np.array([((i >> j) & 1) for j in range(m)], dtype=int) + bits[i, :] = 2 * np.array([((i >> j) & 1) for j in range(m)], dtype=np.uint64) cumsumbits = np.cumsum(bits, axis=0) # n_max x m rhovector = np.dot((1.0 / np.arange(1, n_max + 1)), cumsumbits) # 1 x m @@ -77,17 +79,17 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): rIdx1 = rIdx2 + 1 # ---------------------------------------------------------------------- - # Get ordering of the search space + # Get ordering of the search space - needed for circulant matrix # ---------------------------------------------------------------------- - gR = np.ones(2**(m - 2), dtype=int) + gR = np.ones(2**(m - 2), dtype=int) # gR determines ordering of rows to have circulant matrix intMod = 2**m for idx in range(1, 2**(m - 2)): temp = (gR[idx - 1] * 5) % intMod gR[idx] = min(intMod - temp, temp) - gRows = np.ones(2**(m - 1), dtype=int) + gRows = np.ones(2**(m - 1), dtype=int) # gRows determines* ordering of cols to have circulant matrix gRows[-1] = 0 - rowVects = np.ones(2**m - 1, dtype=int) + rowVects = np.ones(2**m - 1, dtype=int) # rowVects gStrtIdx = 0 vStrtIdx = 0 @@ -112,7 +114,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): rowVects[-1] = 2**(m - 1) # ---------------------------------------------------------------------- - # Set up prodV + # Set up prodV - where we store information about previous components # ---------------------------------------------------------------------- prodV = np.ones((2**m - 1, 1)) prodV = prodV * rhovectorNx1 @@ -128,10 +130,10 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): # ---------------------------------------------------------------------- # Begin search # ---------------------------------------------------------------------- - gen_vec = np.ones(d_max, dtype=int) + gen_vec = np.ones(d_max, dtype=np.uint64) for hComp in range(2, d_max + 1): - wssd = np.zeros(2**(m - 2)) + wssd = np.zeros(2**(m - 2), dtype=np.float64) gamma = coord_weights[hComp - 1] omega = lambda x: 1 + gamma * kernel(x) @@ -139,37 +141,37 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): curIdx2 = 0 prodIdx1 = 0 - for l in range(m, 1, -1): - nextIdx2 = curIdx2 + 2**(l - 2) - 1 - prodIdx2 = prodIdx1 + 2**(l - 2) - 1 + for l in range(m, 1, -1): # we iterate over decreasing size blocks of powers of two= + nextIdx2 = curIdx2 + 2**(l - 2) + prodIdx2 = prodIdx1 + 2**(l - 2) - curRow = gRows[curIdx2:nextIdx2 + 1] - col = curRow / 2**l - fftCol = omega(col) + curRow = gRows[curIdx2:nextIdx2] + col = curRow / 2**l + fftCol = omega(col).astype(np.complex128) # first column of this circulant matrix block - pCol = prodV[prodIdx1:prodIdx2 + 1, 0] + pCol = prodV[prodIdx1:prodIdx2, 0].astype(np.complex128) # corresponding section of prodV - wVector = 2 * np.fft.ifft(np.fft.fft(fftCol) * np.fft.fft(pCol)).real + wVector = 2 * np.fft.ifft(np.fft.fft(fftCol) * np.fft.fft(pCol)).real # matrix vector product as fft numrep = 2**(m - l) wssd = wssd + np.tile(wVector, numrep) - curIdx2 = nextIdx2 + 1 - prodIdx1 = prodIdx2 + 2**(l - 2) + 1 + curIdx2 = nextIdx2 + prodIdx1 = prodIdx2 + 2**(l - 2) - wssd = wssd + omega(1 / 2) * prodV[-1, 0] - wssd = wssd + n_max * k0 - n_max * (n_max + 1) / 2 + wssd = wssd + omega(1 / 2) * prodV[-1, 0] # not actually wssd; we avoid subtracting a constant to save precision - bestIdx = int(np.argmin(wssd)) - newH = int(gR[bestIdx]) + bestIdx = np.uint64(np.argmin(wssd)) + newH = np.uint64(gR[bestIdx]) # Avoid duplicates while newH in gen_vec: wssd[bestIdx] = np.inf - bestIdx = int(np.argmin(wssd)) - newH = int(gR[bestIdx]) + bestIdx = np.uint64(np.argmin(wssd)) + newH = np.uint64(gR[bestIdx]) gen_vec[hComp - 1] = newH + # set up prodV for next iteration rowV = (newH * rowVects) % 2**m rowV = rowV / 2**m rowV = omega(rowV) From ba23acdae15bfc72d63db49c71a60c9eee8fad18 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 31 Aug 2026 21:57:59 -0500 Subject: [PATCH 33/36] Potential fix for tests, corrected --- .../discrete_distribution/lattice/lattice_vector_wssd_search.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index bc4318fa2..5ef6a975f 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -33,7 +33,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): Custom kernels >>> bernoulli6 = lambda x: x * (x * (-1/2 + x * (x * (5/2 + x * (-3 + x))))) + 1/42 - >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) # doctest: +NORMALIZE_WHITESPACE +ELLIPSIS + >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) # doctest: +ELLIPSIS array([ 1, 12589, ...]) The algorithm in its current form is sensitive to differences in floating point precision across platforms, hence the nondeterministic nature of the example above. This can cause differences in generator quality, though in my ad hoc testing it is usually not catastrophic. It was originally built on a Windows machine. From b319fa7369943c6383be70f6b23039b150d45cab Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 31 Aug 2026 22:06:17 -0500 Subject: [PATCH 34/36] Potential fix for tests, re-corrected --- .../lattice/lattice_vector_wssd_search.py | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 5ef6a975f..3109a133c 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -34,7 +34,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): >>> bernoulli6 = lambda x: x * (x * (-1/2 + x * (x * (5/2 + x * (-3 + x))))) + 1/42 >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) # doctest: +ELLIPSIS - array([ 1, 12589, ...]) + array([ 1, 12589, ...]...) The algorithm in its current form is sensitive to differences in floating point precision across platforms, hence the nondeterministic nature of the example above. This can cause differences in generator quality, though in my ad hoc testing it is usually not catastrophic. It was originally built on a Windows machine. @@ -130,7 +130,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): # ---------------------------------------------------------------------- # Begin search # ---------------------------------------------------------------------- - gen_vec = np.ones(d_max, dtype=np.uint64) + gen_vec = np.ones(d_max, dtype=int) for hComp in range(2, d_max + 1): wssd = np.zeros(2**(m - 2), dtype=np.float64) @@ -167,7 +167,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): while newH in gen_vec: wssd[bestIdx] = np.inf bestIdx = np.uint64(np.argmin(wssd)) - newH = np.uint64(gR[bestIdx]) + newH = int(gR[bestIdx]) gen_vec[hComp - 1] = newH From de58cbc24b9d31e4e62db941776385da07d3381d Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Mon, 31 Aug 2026 22:28:47 -0500 Subject: [PATCH 35/36] Fixes differences in Kronecker naming convention --- demos/lattice_kronecker_methods.ipynb | 6 +++--- qmcpy/discrete_distribution/kronecker/kronecker.py | 10 +++++----- 2 files changed, 8 insertions(+), 8 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index de3c2ecdf..5b70a5a07 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -74,7 +74,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "id": "c8eec507", "metadata": {}, "outputs": [ @@ -94,7 +94,7 @@ "kron = Kronecker(dimension=dim, seed=12, generating_vector=\"CBC_MT\") # initialize a Kronecker sequence as usual\n", "kron_k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) # define the kernel function (in this case, the second Bernoulli polynomial)\n", "\n", - "kron_discs = kron.expected_square_periodic_discrepancies(n_max = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", + "kron_discs = kron._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1) # compute the expected squared periodic discrepancies for n = 1, 2, ...\n", "\n", "sample_weights = np.arange(1, n+1) # define some sample weights\n", "kron_wssd = kron.wssd_discrepancy(n = n, sample_weights = sample_weights, k_tilde = kron_k_tilde, gamma = coord_weights) # compute the wssd\n", @@ -232,7 +232,7 @@ "lat_discs2 = lat2.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", "\n", "kron2 = Kronecker(dimension=dim, generating_vector=\"RICHTMYER\", seed=12)\n", - "kron_discs2 = kron2.expected_square_periodic_discrepancies(n_max = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1)\n", + "kron_discs2 = kron2._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1)\n", "\n", "# Note that the new lattice rule beats the Kuo lattice rule for low sample sizes, but they are comparable closer to n = 2^20.\n", "\n", diff --git a/qmcpy/discrete_distribution/kronecker/kronecker.py b/qmcpy/discrete_distribution/kronecker/kronecker.py index f0377250b..0041269bf 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker.py @@ -458,7 +458,7 @@ def periodic_discrepancy(self, n, k_tilde=None, gamma=None): if k_tilde is None: k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) - return np.sqrt(self.expected_square_periodic_discrepancies(n, k_tilde, gamma)) + return np.sqrt(self._square_periodic_discrepancies(n, k_tilde, gamma)) def wssd_discrepancy(self, n, sample_weights, k_tilde = None, gamma = None): @@ -469,14 +469,14 @@ def wssd_discrepancy(self, n, sample_weights, k_tilde = None, gamma = None): if k_tilde is None: k_tilde = (lambda x, gamma: np.prod(1 + (x * (x - 1) + 1/6) * gamma, axis=-1), 1) - discrepancies = self.expected_square_periodic_discrepancies(n, k_tilde, gamma) + discrepancies = self._square_periodic_discrepancies(n, k_tilde, gamma) return np.sum(sample_weights * discrepancies, axis=-1) - def expected_square_periodic_discrepancies(self, n_max, k_tilde, gamma): - n_array = np.arange(1, n_max + 1) + def _square_periodic_discrepancies(self, n, k_tilde, gamma): + n_array = np.arange(1, n + 1) # we need the points without a random shift for the calculation, so we can't use self._gen_samples - i = np.arange(0, n_max) + i = np.arange(0, n) points = (i[:,None] * self.gen_vec[:,None,:]) % 1 k_tilde_terms = k_tilde[0](points, gamma) From f286fba45d6b811a4d6dd42e52cc9f5603a6c663 Mon Sep 17 00:00:00 2001 From: Anders Pride Date: Wed, 2 Sep 2026 14:38:51 -0500 Subject: [PATCH 36/36] Fixes bugs in searches and wssd calculations - Kronecker search wssd now works for other kernels, added unit test case - Lattice search doctest now checks invariant properties - Lattice.wssd can now handle coord_weights longer than the dimension - Lattice search minimum n_max value corrected - Removed user interactive prompt in Kronecker search - Fixed docstring formatting - Updated demo notebook with more interesting Kronecker comparison --- demos/lattice_kronecker_methods.ipynb | 23 ++++++++----------- .../kronecker/kronecker_search_methods.py | 14 +++++------ .../discrete_distribution/lattice/lattice.py | 8 +++++++ .../lattice/lattice_vector_wssd_search.py | 14 +++++++---- test/test_dd_lattice_kronecker.py | 13 +++++++++++ 5 files changed, 47 insertions(+), 25 deletions(-) diff --git a/demos/lattice_kronecker_methods.ipynb b/demos/lattice_kronecker_methods.ipynb index 5b70a5a07..1d11ccc52 100644 --- a/demos/lattice_kronecker_methods.ipynb +++ b/demos/lattice_kronecker_methods.ipynb @@ -74,7 +74,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "id": "c8eec507", "metadata": {}, "outputs": [ @@ -127,7 +127,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for lattice vector wssd search: 0.18679571151733398\n", + "Time taken for lattice vector wssd search: 0.1818382740020752\n", "Searched lattice vector: [ 1 4825 13541 15249 15405 9909 7493 11407 14819 10089 3683 3347\n", " 13789 8837 5309 6307 6447 12103 9097 2767]\n" ] @@ -166,7 +166,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Time taken for kronecker vector wssd search: 5.971957206726074\n", + "Time taken for kronecker vector wssd search: 6.114294052124023\n", "Searched Kronecker vector: [0.61803399 0.26774665 0.91444648 0.22708655 0.12137476 0.71267465\n", " 0.69787961 0.10230792 0.18609503 0.31195642 0.41561801 0.13176115\n", " 0.22004561 0.56882224 0.8920797 0.79690426 0.54748361 0.74175085\n", @@ -182,11 +182,11 @@ "searchsize = 20 # the time cost is O(dim * n * searchsize^2), so searchsize should be chosen with care. The largest search I have run was in MATLAB with searchsize = 300, N = 2^20, d = 100, which took about 24 hours \n", "\n", "time_start = time()\n", - "searched_kron_vector = kronecker_vector_search_mobius_transform(n_max = n, d_max = dim, kernel = lambda x: x * (x - 1) + 1 / 6, searchsize = searchsize, coord_weights = coord_weights) # search for a Kronecker vector with low wssd\n", + "searched_kron_vector, wssd, new_kron_discs, _ = kronecker_vector_search_mobius_transform(n_max = n, d_max = dim, kernel = lambda x: x * (x - 1) + 1 / 6, searchsize = searchsize, coord_weights = coord_weights) # search for a Kronecker vector with low wssd\n", "time_end = time()\n", "\n", "print(\"Time taken for kronecker vector wssd search: \", time_end - time_start)\n", - "print(\"Searched Kronecker vector: \", searched_kron_vector[0])" + "print(\"Searched Kronecker vector: \", searched_kron_vector)" ] }, { @@ -199,7 +199,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "9f66d72b", "metadata": {}, "outputs": [ @@ -215,7 +215,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -231,16 +231,13 @@ "lat2 = Lattice(dimension=dim, order=\"RADICAL_INVERSE\", seed=12, generating_vector=np.uint64(searched_lattice_vector), m_max=20)\n", "lat_discs2 = lat2.expected_squared_periodic_discrepancies(n_max=n, coord_weights=coord_weights)\n", "\n", - "kron2 = Kronecker(dimension=dim, generating_vector=\"RICHTMYER\", seed=12)\n", - "kron_discs2 = kron2._square_periodic_discrepancies(n = n, k_tilde = kron_k_tilde, gamma = coord_weights).reshape(-1)\n", - "\n", - "# Note that the new lattice rule beats the Kuo lattice rule for low sample sizes, but they are comparable closer to n = 2^20.\n", + "# Note that the new lattice rule beats the Kuo lattice rule for the somewhat low sample sizes here, but they are comparable closer to n = 2^20.\n", "\n", "fig, ax = pyplot.subplots(nrows=1, ncols=1, figsize=(12,10))\n", "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs1), label=\"Kuo Lattice Discrepancy\")\n", "ax.plot(np.arange(1, n+1), np.sqrt(lat_discs2), label=\"New Lattice Discrepancy\")\n", - "ax.plot(np.arange(1, n+1), np.sqrt(kron_discs), label=\"CBC_MT Kronecker Discrepancy\")\n", - "ax.plot(np.arange(1, n+1), np.sqrt(kron_discs2), label=\"Richtmyer Kronecker\")\n", + "ax.plot(np.arange(1, n+1), np.sqrt(new_kron_discs), label=\"CBC_MT Kronecker (for N=2^15)\")\n", + "ax.plot(np.arange(1, n+1), np.sqrt(kron_discs), label=\"CBC_MT Kronecker (for N=2^20)\")\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.legend()\n", diff --git a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py index be4e4fc52..ac5fccb4b 100644 --- a/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py +++ b/qmcpy/discrete_distribution/kronecker/kronecker_search_methods.py @@ -8,6 +8,7 @@ def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=No - The first component is gen_vec_init, defaults to the golden ratio. - We use a modified mobius transformation f(x) = (a*x + b)/(c*x + d) where a, c are distinct primes and b, d are the two pairs of the smallest positive integers such that |a*d - b*c| = 1. - Each subsequent component is found by performing the mobius transformation on the previous component, searching over all pairs of distinct primes from the first searchsize many primes. + Args: n_max (int): The maximum sample size to be searched over. d_max (int): The maximum dimension for which to find the generating vector. @@ -15,16 +16,20 @@ def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=No searchsize (int): The number of primes to search over for each component of the generating vector. coord_weights (array-like, optional): An array of coordinate weights to use in the search. If None, weights are set to j^(-2). gen_vec_init (array-like, optional): The initial value for the generating vector. If None, the golden ratio is used for the first component. Note that gen_vec_init is taken mod 1. + Returns: generating_vector, wssd, discrepancies, coeff (tuple): - generating_vector (numpy array): The generating vector found by the search. - wssd (float): The weighted sum of squared discrepancies for n = 1,...,n_max, for the generating vector found. - discrepancies (numpy array): The discrepancies for n = 1,...,n_max. - coeff (numpy array): The coefficients of the linear transformation used in the search. A description of the coeff array is found below. + Time cost: The time cost of the search is O(searchsize^2 * d_max * n_max). + Approach: Conducts a deterministic CBC search for a generating vector, minimizing the weighted sum of squared discrepancies (wssd) with sample weights w_n = n. + Details on coeff array: The coeff array is a (d_max-1) x 4 array where each row corresponds to a dimension from 2 to d_max. The columns correspond to the coefficients of the linear transformation used to compute the gen_vec component for that dimension. Specifically, - gen_vec[dim+1] = (coeff[dim, 0] * gen_vec[dim] + coeff[dim, 1]) / (coeff[dim, 2] * gen_vec[dim] + coeff[dim, 3]) @@ -55,12 +60,7 @@ def kronecker_vector_search_mobius_transform(n_max, d_max, searchsize, kernel=No import sympy except ImportError: print("While not required, installing the sympy package is recommended for this search method. It is used to compute the Bezout coefficients for the linear transformation used in the search. If sympy is not installed, the search will use a recursive and likely slower implementation of the Euclidean algorithm instead.") - response = input("Do you want to continue without sympy? (y/n): ") - if response.lower() != 'y': - raise ImportError("Please install sympy and try again.") - else: - has_sympy = False - print("Continuing without sympy. This may take longer.") + has_sympy = False else: has_sympy = True @@ -112,7 +112,7 @@ def recursive_euclidean_algorithm(a, b): num = n_max * (n_max + 1) / 2 - nK0 = (1 + coord_weights/6) + nK0 = (1 + coord_weights * kernel(0)) nK0 = n_max * np.cumprod(nK0) # precompute Bezout coefficients for all pairs of primes in the search space diff --git a/qmcpy/discrete_distribution/lattice/lattice.py b/qmcpy/discrete_distribution/lattice/lattice.py index 8124542bc..451a5aa80 100644 --- a/qmcpy/discrete_distribution/lattice/lattice.py +++ b/qmcpy/discrete_distribution/lattice/lattice.py @@ -399,10 +399,12 @@ def _spawn(self, child_seed, dimension): def expected_squared_periodic_discrepancies(self, n_max, coord_weights=None, kernel=None): """Returns the expected squared periodic discrepancies for each of the first n_max points of the lattice sequence. + Args: n_max (int): Maximum number of points to calculate the squared periodic discrepancies for. coord_weights (Union[None, np.ndarray]): Coordinate weights for the discrepancy calculation. If None, uses weights gamma_j = j^(-2). kernel (Union[None, Callable]): Kernel function for the discrepancy calculation. If None, uses the second bernoulli polynomial. + Returns: discs (np.ndarray): The expected squared periodic discrepancies for the first n_max points. """ @@ -417,6 +419,8 @@ def expected_squared_periodic_discrepancies(self, n_max, coord_weights=None, ker if kernel is None: kernel = lambda x: x * (x - 1) + 1/6 + coord_weights = coord_weights[:self.d] + k_tilde = lambda x: np.prod(1 + coord_weights * kernel(x), axis=-1) # generate the vdc points without any random shift @@ -461,15 +465,19 @@ def expected_squared_periodic_discrepancies(self, n_max, coord_weights=None, ker def wssd(self, n_max, coord_weights=None, sample_weights=None): """Returns the weighted sum of the expected squared periodic discrepancies for the first n_max points of the lattice sequence. + Args: n_max (int): Number of points to calculate the weighted squared periodic discrepancy for. coord_weights (Union[None, np.ndarray]): Coordinate weights for the discrepancy calculation. If None, uses weights gamma_j = j^(-2). sample_weights (Union[None, np.ndarray]): Sample weights for the weighted squared periodic discrepancy calculation. If None, uses weights w_n = n. Note that the time cost may be higher for other sample weights. + Returns: wssd (float): The weighted squared periodic discrepancy. """ if coord_weights is not None and len(coord_weights) < self.d: raise ValueError("Length of coord_weights must be greater than or equal to the dimension of the lattice") + if coord_weights is not None: + coord_weights = coord_weights[:self.d] if sample_weights is not None and len(sample_weights) < n_max: raise ValueError("Length of sample_weights must be at least n_max") if sample_weights is None: diff --git a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py index 3109a133c..f95ac7f0d 100644 --- a/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py +++ b/qmcpy/discrete_distribution/lattice/lattice_vector_wssd_search.py @@ -14,6 +14,7 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): Time cost: The time cost of the search is O(d_max * n_max * log(n_max)), though the contribution of d_max is smaller until around d_max = 100. + Note: Uses sample weights of w_n = n for n = 1,...,n_max when calculating the WSSD. @@ -33,10 +34,13 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): Custom kernels >>> bernoulli6 = lambda x: x * (x * (-1/2 + x * (x * (5/2 + x * (-3 + x))))) + 1/42 - >>> lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) # doctest: +ELLIPSIS - array([ 1, 12589, ...]...) + >>> gen_vec = lattice_vector_wssd_search(n_max=2**15, d_max=10, coord_weights=None, kernel=bernoulli6) + >>> gen_vec[0] + 1 + >>> len(gen_vec) + 10 - The algorithm in its current form is sensitive to differences in floating point precision across platforms, hence the nondeterministic nature of the example above. This can cause differences in generator quality, though in my ad hoc testing it is usually not catastrophic. It was originally built on a Windows machine. + The algorithm in its current form is sensitive to differences in floating point precision across platforms, hence the lack of specificity in the previous example. This can cause differences in generator quality, though in my ad hoc testing it is usually not catastrophic. It was originally built on a Windows machine. """ np.seterr(all='warn') @@ -54,8 +58,8 @@ def lattice_vector_wssd_search(n_max, d_max, coord_weights=None, kernel=None): if len(coord_weights) < d_max: raise ValueError("coord_weights must have length at least d_max") - if n_max < 3: - raise ValueError("n_max must be at least 3") + if n_max < 8: + raise ValueError("n_max must be at least 8") if d_max < 1: raise ValueError("d_max must be at least 1") diff --git a/test/test_dd_lattice_kronecker.py b/test/test_dd_lattice_kronecker.py index a16690826..4c1355b63 100644 --- a/test/test_dd_lattice_kronecker.py +++ b/test/test_dd_lattice_kronecker.py @@ -150,6 +150,7 @@ def test_kronecker_search(self): assert coefficients.shape == (2, 4) assert np.isfinite(vector).all() and np.isfinite(discrepancies).all() assert np.all((0 <= vector) & (vector < 1)) + assert 0 < wssd npt.assert_allclose( wssd, np.arange(1, n + 1) @ discrepancies, rtol=0, atol=5e-14 ) @@ -178,6 +179,18 @@ def test_kronecker_search(self): wssd, np.arange(1, n + 1) @ discrepancies, rtol=0, atol=5e-14 ) + vector, wssd, discrepancies, coefficients = ( + kronecker_vector_search_mobius_transform( + n_max=n, + d_max=3, + searchsize=3, + kernel= lambda x: 3 * _bernoulli_two(x), + coord_weights=coord_weights, + gen_vec_init=1.25, + ) + ) + assert 0 < wssd + @pytest.mark.parametrize( ("kwargs", "message"), [