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const_a.py
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const_a.py
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# coding: UTF-8
import math
import cmath
import random
import os
import scipy.linalg as slinalg
import numpy.linalg as linalg
import numpy as np
import rdft
import lib_lu_solve as lib
import iteration
import partial_pivot as pp
import main
#------------------------------------
# function definition
#------------------------------------
def const_a_detection(sample, size, rand_range):
test_result = main.const_a(sample, size, rand_range)
condition_satisfy = 0
failed_satisfy = 0
mcfras, fras, a_subconds, fra_subconds, a_subsingulars, fra_subsingulars = [], [], 0.0, [], 0.0, []
mca_flg = 0
for i in range(0,sample):
[a, mca, mcfra, fra, a_subcond, fra_subcond] = test_result[i]
fras.append(fra)
mcfras.append(mcfra)
_, a_subsingulars, _ = linalg.svd(a)
for seq in rdft.all_leading_sequence(size):
_, fra_subsing, _ = linalg.svd(fra[np.ix_(seq,seq)])
fra_subsingulars.append(fra_subsing)
fra_subconds.append(fra_subcond)
if mca < 20:
mca_flg = 1 # this is not what we want to detect even as a sample
continue
if mcfra < 1.5:
condition_satisfy = condition_satisfy + 1
if mcfra > 10:
failed_satisfy = failed_satisfy + 1
return [condition_satisfy, mca_flg, failed_satisfy, a, mca, mcfras, fras, a_subcond, fra_subconds, a_subsingulars, fra_subsingulars]
#
# cd : the number of the tests satisfying the detection condition
# mca : maxcond(A[k|k])/cond(A)
# mcfra: maxcond[FRA[k|k])/cond(FRA)
# cdnum: condition number of the matrix A
#
def const_a_run(test_num, sample, size, rand_range):
counter = 0
failed_counter = 0
sample_counter = 0
#for i in range(0, test_num):
while counter < 100:
[cd, mca_flg, fs, a, mca, mcfra, fras, a_subcond, fra_subconds, a_subsing, fra_subsing] = const_a_detection(sample, size, rand_range)
if mca_flg == 1:
continue
if cd > sample*(2/3):
counter = counter + 1
np.savetxt("./result/result" + str(counter) + "_a.txt",a)
os.mkdir("./result/fra_" + str(counter))
for i in range(0,len(fras)):
np.savetxt("./result/fra_" + str(counter) + "/" + str(i) + ".txt", fras[i])
output = open("./result/result" + str(counter) + "_a_subcond.txt",'w')
output.write(str(a_subcond))
output.close()
output = open("./result/result" + str(counter) + "_fra_subcond.txt",'w')
output.write(str(fra_subconds))
output.close()
output = open("./result/result" + str(counter) + "_mca.txt",'w')
output.write(str(mca))
output = open("./result/result" + str(counter) + "_mcfra.txt",'w')
output.write(str(mcfra))
output.close()
output = open("./result/result" + str(counter) + "_det.txt",'w')
output.write(str(np.linalg.det(a)))
output.close()
output = open("./result/result" + str(counter) + "_cd.txt",'w')
output.write(str(cd))
output.close()
output = open("./result/result" + str(counter) + "_cdnum.txt",'w')
output.write(str(linalg.cond(a)))
output.close()
output = open("./result/result" + str(counter) + "_a_subsing.txt",'w')
output.write(str(a_subsing))
output.close()
output = open("./result/result" + str(counter) + "_fra_subsing.txt",'w')
output.write(str(fra_subsing))
output.close()
print(counter)
elif fs > sample/3:
np.savetxt("./failed/failed" + str(failed_counter) + "_a.txt",a)
os.mkdir("./failed/fra_" + str(faled_counter))
for i in range(0,len(fras)):
np.savetxt("./failed/fra_" + str(failed_counter) + "/" + str(i) + ".txt", fras[i])
output = open("./failed/result" + str(failed_counter) + "_a_subcond.txt",'w')
output.write(str(a_subcond))
output.close()
output = open("./failed/result" + str(failed_counter) + "_fra_subcond.txt",'w')
output.write(str(fra_subconds))
output.close()
output = open("./failed/failed" + str(failed_counter) + "_mca.txt",'w')
output.write(str(mca))
output = open("./failed/failed" + str(failed_counter) + "_mcfra.txt",'w')
output.write(str(mcfra))
output.close()
output = open("./failed/failed" + str(failed_counter) + "_det.txt",'w')
output.write(str(np.linalg.det(a)))
output.close()
output = open("./failed/failed" + str(failed_counter) + "_cd.txt",'w')
output.write(str(cd))
output.close()
output = open("./failed/failed" + str(failed_counter) + "_cdnum.txt",'w')
output.write(str(linalg.cond(a)))
output.close()
output = open("./failed/failed" + str(counter) + "_a_subsing.txt",'w')
output.write(str(a_subsing))
output.close()
output = open("./failed/failed" + str(counter) + "_fra_subsing.txt",'w')
output.write(str(fra_subsing))
output.close()
failed_counter = failed_counter + 1
elif sample_counter < 10:
np.savetxt("./sample/sample" + str(sample_counter) + "_a.txt",a)
os.mkdir("./sample/fra_" + str(sample_counter))
for i in range(0,len(fras)):
np.savetxt("./sample/fra_" + str(sample_counter) + "/" + str(i) + ".txt", fras[i])
output = open("./sample/sample" + str(sample_counter) + "_a_subcond.txt",'w')
output.write(str(a_subcond))
output.close()
output = open("./sample/sample" + str(sample_counter) + "_fra_subcond.txt",'w')
output.write(str(fra_subconds))
output.close()
output = open("./sample/sample" + str(sample_counter) + "_mca.txt",'w')
output.write(str(mca))
output = open("./sample/sample" + str(sample_counter) + "_mcfra.txt",'w')
output.write(str(mcfra))
output.close()
output = open("./sample/sample" + str(sample_counter) + "_det.txt",'w')
output.write(str(np.linalg.det(a)))
output.close()
output = open("./sample/sample" + str(sample_counter) + "_cd.txt",'w')
output.write(str(cd))
output.close()
output = open("./sample/sample" + str(sample_counter) + "_cdnum.txt",'w')
output.write(str(linalg.cond(a)))
output.close()
output = open("./sample/sample" + str(counter) + "_a_subsing.txt",'w')
output.write(str(a_subsing))
output.close()
output = open("./sample/sample" + str(counter) + "_fra_subsing.txt",'w')
output.write(str(fra_subsing))
output.close()
sample_counter = sample_counter + 1
print(str(counter) + "detected", str(failed_counter) + "failed", str(sample_counter) + "samples")
# way: -1:none, 0:transpose A, 1:swap column
def const_a_test(test_num, sample, size, rand_range, way=-1, way_option=[]):
counter = 0
sample_counter = 0
for i in range(0, test_num):
[cd, fs, mat, mca, mcfra, fras, a_subcond, fra_subconds] = const_a_detection(sample, size, rand_range)
a = np.array(mat)
if way == 0:
mat = mat.T
elif way == 1:
for (k,j) in way_option:
mat = pp.swap(mat,k,j)
if cd > sample*(2/3):
np.savetxt("./test_result/test_result" + str(counter) + "_a.txt",a)
os.mkdir("./test_result/fra_" + str(counter))
for i in range(0,len(fras)):
np.savetxt("./test_result/fra_" + str(counter) + "/" + str(i) + ".txt", fras[i])
output = open("./test_result/test_result" + str(counter) + "_a_subcond.txt",'w')
output.write(str(a_subcond))
output.close()
output = open("./test_result/test_result" + str(counter) + "_fra_subcond.txt",'w')
output.write(str(fra_subconds))
output.close()
output = open("./test_result/test_result" + str(counter) + "_mca.txt",'w')
output.write(str(mca))
output = open("./test_result/test_result" + str(counter) + "_mcfra.txt",'w')
output.write(str(mcfra))
output.close()
output = open("./test_result/test_result" + str(counter) + "_det.txt",'w')
output.write(str(np.linalg.det(a)))
output.close()
output = open("./test_result/test_result" + str(counter) + "_cd.txt",'w')
output.write(str(cd))
output.close()
output = open("./test_result/test_result" + str(counter) + "_cdnum.txt",'w')
output.write(str(linalg.cond(a)))
output.close()
sample_counter = 0
a_subcond, fra_subconds = [], []
while sample_counter < 100:
f = rdft.generate_f(size)
r = rdft.generate_r(size)
fr = f.dot(r)
fra = fr.dot(mat)
(a_maxcond,_,a_subcond) = rdft.get_leading_maxcond(mat)
(fra_maxcond,_,fra_subcond) = rdft.get_leading_maxcond(fra)
fra_subconds.append(fra_subcond)
sample_counter = sample_counter + 1
np.savetxt("./test_result/test_result" + str(counter) + "_z_mod_a.txt",mat)
os.mkdir("./test_result/fra_" + str(counter) + "_" + str(sample_counter))
for i in range(0,len(fras)):
np.savetxt("./test_result/fra_" + str(counter) + "_" + str(sample_counter) + "/" + str(i) + ".txt", fras[i])
output = open("./test_result/test_result" + str(counter) + "_z_a_subcond.txt",'w')
output.write(str(a_subcond))
output.close()
output = open("./test_result/test_result" + str(counter) + "_z_fra_subcond.txt",'w')
output.write(str(fra_subconds))
output.close()
output = open("./test_result/test_result" + str(counter) + "_z_mca.txt",'w')
output.write(str(mca))
output = open("./test_result/test_result" + str(counter) + "_z_mcfra.txt",'w')
output.write(str(mcfra))
output.close()
output = open("./test_result/test_result" + str(counter) + "_z_det.txt",'w')
output.write(str(np.linalg.det(mat)))
output.close()
output = open("./test_result/test_result" + str(counter) + "_z_cdnum.txt",'w')
output.write(str(linalg.cond(mat)))
output.close()
counter = counter + 1
print(str(counter) + "detected")
#------------------------------------
# test code
#------------------------------------
# test_num, sample, size, rand_range
const_a_run(100,100,3,10)
#const_a_test(100,100,3,10,1,[(1,2)])