@realazthat/

3-SUM-by-views

Python

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  • main.py
  • generators.py
  • tests.py
  • three_sum_bisect.py
  • three_sum_indexed.py
  • three_sum_view.py
  • tsum_util.py
  • view.py

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import time
import sys
import random
import tests
import unittest
import three_sum_bisect
from generators import pathological_generator
from three_sum_view import solve_views
from three_sum_indexed import solve_brute
from view import to_view
import tsum_util
from functools import partial





def measure_complexity(f,g,n,K,t=None, p=tsum_util.print_null):
  
  times = []
  for n in range(1, 1000):
    
    p('testing K=%s trials with n=%s' % (K,n,))
    
    t0 = time.time()
    for _ in range(K):
      certification, problem = g(n)
      solution = f(problem)
      if t: assert t(solution)

    
    dt = time.time() - t0
    
    ddt = (dt-times[-1]) if len(times) > 0 else dt
    
    p('tested K trials with n=%s, K=%s, dt=%.4fs, dt/K=%.4fs, ddt=%.4fs' % (n,K,dt,dt/K, ddt))
    times.append(dt)
  return times
  
def bisect_main():
  random.seed(1)
  
  numeric_max_bits = 8
  sample_count = 1000
  sample_length = 10
  
  samples = [
    pathological_generator(
      Nbits=numeric_max_bits,
      n=sample_length,
      certify=random.random() > 0.5)
    for _ in range(sample_count)
  ]
  
  # samples = [
    #((0, 2, 1), [29, 41, 12]),
    # (None, [37, 17, 37]),
    # ((1, 0, 2), [50, 216, 266])
    # ((1, 0, 0), [31, 0, 31])
    # ]



  outfile = open('outfile.txt', 'w')
  
  heavy = True
  fancy = True
  p = tsum_util.print_null
  p = partial(print,file=outfile)
  for sample_index,(triplet, I) in enumerate(samples):
    print ('-')
    print ('sample index:',sample_index)
    print ('triplet, I:', repr((triplet, I)))
    certify = triplet is not None
    
    I,J,K = I,I,I
  
    if certify:
      i,j,k = triplet
      ivalue, jvalue, kvalue = I[i], J[j], K[k]
      assert ivalue + jvalue == kvalue
    
    triplets = three_sum_bisect.solve(I,J,K,p=p,heavy=heavy,choose='largest')
  
    print ('I:', I)
    print ('certify:', certify)
    print ('triplet:', triplet)
    print ('triplets:', triplets)
    print ('resolve(triplets):', tsum_util.resolve(I,J,K, triplets))
    print ('len(triplets):', len(triplets))
    print ('triplets:', triplets)
    if heavy:
      expected_triplets = solve_brute(I,J,K)
      print ('expected_triplets:', expected_triplets)
      print ('resolve(expected_triplets):', tsum_util.resolve(I,J,K, expected_triplets))
      assert expected_triplets == triplets
      assert tsum_util.resolve(I,J,K, expected_triplets) == tsum_util.resolve(I,J,K, triplets)
    
    
    if certify:
      assert triplet in triplets
    
    triplets = tsum_util.resolve(I,J,K, triplets)
    
    for ivalue,jvalue,kvalue in triplets:
      assert ivalue + jvalue == kvalue
  
def bisect_complexity_main():
  random.seed(1)
  
  heavy = False
  p = tsum_util.print_null
  def f(problem):
    I,J,K = problem
    solution = three_sum_bisect.solve(I,J,K,p=p,heavy=heavy,choose='largest')
    return solution
  numeric_max_bits = 8
  def g(n):
    certification,V = pathological_generator(
                Nbits=numeric_max_bits,
                n=n,
                certify=random.random() > 0.5)
    I,J,K = V,V,V
    problem = I,J,K
    return (certification,problem)
  
  times = measure_complexity(f,g,n=100,K=100,p=print)
  print (times)
  
# bisect_main()
bisect_complexity_main()

def views_main():
  random.seed(1)
  
  numeric_max_bits = 64
  sample_count = 1
  sample_length = 100
  
  samples = [
    pathological_generator(
      Nbits=numeric_max_bits,
      n=sample_length,
      certify=random.random() > 0.5)
    for _ in range(sample_count)
  ]
  # samples = [
  #   (
  #     (2, 4, 3),
  #     [4079209076, 3965891272, 3648514451, 7266853563, 3618339112]
  #   ),
    # (None, [8, 3, 25, 24, 19]),
  #   ((1, 0, 2), [2, 18, 20, 29, 7]),
  #   ((0, 8, 6), [7912, 46315, 7913, 1191, 38166, 47604, 28381, 20061, 20469, 7911])
    # ((4, 6, 8), [35632, 33120, 113244, 113242, 8549, 113243, 13162, 51739, 21711, 57736])
    # ((0, 2, 3), [6, 12, 22, 28]),
    # ((0, 0, 1), [14, 28, 15, 14]),
    # ((4, 7, 6), [22, 0, 69, 72, 226, 174, 296, 70]),
  # ]
  
  
  # unittest.main(module='tests')
  
  outfile = open('outfile.txt', 'w')
  
  heavy = True
  fancy = True
  p = tsum_util.print_null
  p = partial(print,file=outfile)
  for sample_index,(triplet, I) in enumerate(samples):
    print ('-')
    print ('sample index:',sample_index)
    print ('triplet, I:', repr((triplet, I)))
    certify = triplet is not None
    
    I,J,K = I,I,I
  
    if certify:
      i,j,k = triplet
      ivalue, jvalue, kvalue = I[i], J[j], K[k]
      assert ivalue + jvalue == kvalue
    
    # print (to_view(I,heavy=heavy).all_str())
    # break;
    
    print ('I:',I)
    print ('to_view(I).collect():',to_view(I,heavy=heavy).collect())
    print ('index(I):',tsum_util.index(I))
    assert (to_view(I,heavy=heavy).collect() == tsum_util.index(I))
    triplets = solve_views(to_view(I,heavy=heavy),
                           to_view(J,heavy=heavy),
                           to_view(K,heavy=heavy),
                           heavy=heavy, p=p, expected_case='mmm',
                           fancy=fancy)
  
    print ('I:', I)
    print ('certify:', certify)
    print ('triplet:', triplet)
    print ('resolve(triplet):', tsum_util.resolve(I,J,K, triplets))
    print ('len(triplets):', len(triplets))
    print ('triplets:', triplets)
    if heavy:
      expected_triplets = solve_brute(I,J,K)
      print ('resolve(expected_triplets):', tsum_util.resolve(I,J,K, expected_triplets))
      assert expected_triplets == triplets
      assert tsum_util.resolve(I,J,K, expected_triplets) == tsum_util.resolve(I,J,K, triplets)
    
    
    if certify:
      assert triplet in triplets
    
    triplets = tsum_util.resolve(I,J,K, triplets)
    
    for ivalue,jvalue,kvalue in triplets:
      assert ivalue + jvalue == kvalue
  
  # random.seed(0)
  
  # N = 1 << 24
  # M = 50
  
  # I = ([random.randint(1, N) for _ in range(M)])
  
  # N_I = max([x.bit_length() for x in I])
  
  # I_str = list(map(lambda x: bin(x)[2:].zfill(N_I), I))
  
  # I_str = list(map(lambda x: x[::-1], sorted(map(lambda x: x[::-1], I_str))))
  
  # print ('\n'.join(I_str))
  
  
  # print (numpy.zeros(shape=(50,50), dtype='bool'))
"},"asBuffer":null},"loaded":true}}
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import time
import sys
import random
import tests
import unittest
import three_sum_bisect
from generators import pathological_generator
from three_sum_view import solve_views
from three_sum_indexed import solve_brute
from view import to_view
import tsum_util
from functools import partial





def measure_complexity(f,g,n,K,t=None, p=tsum_util.print_null):
  
  times = []
  for n in range(1, 1000):
    
    p('testing K=%s trials with n=%s' % (K,n,))
    
    t0 = time.time()
    for _ in range(K):
      certification, problem = g(n)
      solution = f(problem)
      if t: assert t(solution)

    
    dt = time.time() - t0
    
    ddt = (dt-times[-1]) if len(times) > 0 else dt
    
    p('tested K trials with n=%s, K=%s, dt=%.4fs, dt/K=%.4fs, ddt=%.4fs' % (n,K,dt,dt/K, ddt))
    times.append(dt)
  return times
  
def bisect_main():
  random.seed(1)
  
  numeric_max_bits = 8
  sample_count = 1000
  sample_length = 10
  
  samples = [
    pathological_generator(
      Nbits=numeric_max_bits,
      n=sample_length,
      certify=random.random() > 0.5)
    for _ in range(sample_count)
  ]
  
  # samples = [
    #((0, 2, 1), [29, 41, 12]),
    # (None, [37, 17, 37]),
    # ((1, 0, 2), [50, 216, 266])
    # ((1, 0, 0), [31, 0, 31])
    # ]



  outfile = open('outfile.txt', 'w')
  
  heavy = True
  fancy = True
  p = tsum_util.print_null
  p = partial(print,file=outfile)
  for sample_index,(triplet, I) in enumerate(samples):
    print ('-')
    print ('sample index:',sample_index)
    print ('triplet, I:', repr((triplet, I)))
    certify = triplet is not None
    
    I,J,K = I,I,I
  
    if certify:
      i,j,k = triplet
      ivalue, jvalue, kvalue = I[i], J[j], K[k]
      assert ivalue + jvalue == kvalue
    
    triplets = three_sum_bisect.solve(I,J,K,p=p,heavy=heavy,choose='largest')
  
    print ('I:', I)
    print ('certify:', certify)
    print ('triplet:', triplet)
    print ('triplets:', triplets)
    print ('resolve(triplets):', tsum_util.resolve(I,J,K, triplets))
    print ('len(triplets):', len(triplets))
    print ('triplets:', triplets)
    if heavy:
      expected_triplets = solve_brute(I,J,K)
      print ('expected_triplets:', expected_triplets)
      print ('resolve(expected_triplets):', tsum_util.resolve(I,J,K, expected_triplets))
      assert expected_triplets == triplets
      assert tsum_util.resolve(I,J,K, expected_triplets) == tsum_util.resolve(I,J,K, triplets)
    
    
    if certify:
      assert triplet in triplets
    
    triplets = tsum_util.resolve(I,J,K, triplets)
    
    for ivalue,jvalue,kvalue in triplets:
      assert ivalue + jvalue == kvalue
  
def bisect_complexity_main():
  random.seed(1)
  
  heavy = False
  p = tsum_util.print_null
  def f(problem):
    I,J,K = problem
    solution = three_sum_bisect.solve(I,J,K,p=p,heavy=heavy,choose='largest')
    return solution
  numeric_max_bits = 8
  def g(n):
    certification,V = pathological_generator(
                Nbits=numeric_max_bits,
                n=n,
                certify=random.random() > 0.5)
    I,J,K = V,V,V
    problem = I,J,K
    return (certification,problem)
  
  times = measure_complexity(f,g,n=100,K=100,p=print)
  print (times)
  
# bisect_main()
bisect_complexity_main()

def views_main():
  random.seed(1)
  
  numeric_max_bits = 64
  sample_count = 1
  sample_length = 100
  
  samples = [
    pathological_generator(
      Nbits=numeric_max_bits,
      n=sample_length,
      certify=random.random() > 0.5)
    for _ in range(sample_count)
  ]
  # samples = [
  #   (
  #     (2, 4, 3),
  #     [4079209076, 3965891272, 3648514451, 7266853563, 3618339112]
  #   ),
    # (None, [8, 3, 25, 24, 19]),
  #   ((1, 0, 2), [2, 18, 20, 29, 7]),
  #   ((0, 8, 6), [7912, 46315, 7913, 1191, 38166, 47604, 28381, 20061, 20469, 7911])
    # ((4, 6, 8), [35632, 33120, 113244, 113242, 8549, 113243, 13162, 51739, 21711, 57736])
    # ((0, 2, 3), [6, 12, 22, 28]),
    # ((0, 0, 1), [14, 28, 15, 14]),
    # ((4, 7, 6), [22, 0, 69, 72, 226, 174, 296, 70]),
  # ]
  
  
  # unittest.main(module='tests')
  
  outfile = open('outfile.txt', 'w')
  
  heavy = True
  fancy = True
  p = tsum_util.print_null
  p = partial(print,file=outfile)
  for sample_index,(triplet, I) in enumerate(samples):
    print ('-')
    print ('sample index:',sample_index)
    print ('triplet, I:', repr((triplet, I)))
    certify = triplet is not None
    
    I,J,K = I,I,I
  
    if certify:
      i,j,k = triplet
      ivalue, jvalue, kvalue = I[i], J[j], K[k]
      assert ivalue + jvalue == kvalue
    
    # print (to_view(I,heavy=heavy).all_str())
    # break;
    
    print ('I:',I)
    print ('to_view(I).collect():',to_view(I,heavy=heavy).collect())
    print ('index(I):',tsum_util.index(I))
    assert (to_view(I,heavy=heavy).collect() == tsum_util.index(I))
    triplets = solve_views(to_view(I,heavy=heavy),
                           to_view(J,heavy=heavy),
                           to_view(K,heavy=heavy),
                           heavy=heavy, p=p, expected_case='mmm',
                           fancy=fancy)
  
    print ('I:', I)
    print ('certify:', certify)
    print ('triplet:', triplet)
    print ('resolve(triplet):', tsum_util.resolve(I,J,K, triplets))
    print ('len(triplets):', len(triplets))
    print ('triplets:', triplets)
    if heavy:
      expected_triplets = solve_brute(I,J,K)
      print ('resolve(expected_triplets):', tsum_util.resolve(I,J,K, expected_triplets))
      assert expected_triplets == triplets
      assert tsum_util.resolve(I,J,K, expected_triplets) == tsum_util.resolve(I,J,K, triplets)
    
    
    if certify:
      assert triplet in triplets
    
    triplets = tsum_util.resolve(I,J,K, triplets)
    
    for ivalue,jvalue,kvalue in triplets:
      assert ivalue + jvalue == kvalue
  
  # random.seed(0)
  
  # N = 1 << 24
  # M = 50
  
  # I = ([random.randint(1, N) for _ in range(M)])
  
  # N_I = max([x.bit_length() for x in I])
  
  # I_str = list(map(lambda x: bin(x)[2:].zfill(N_I), I))
  
  # I_str = list(map(lambda x: x[::-1], sorted(map(lambda x: x[::-1], I_str))))
  
  # print ('\n'.join(I_str))
  
  
  # print (numpy.zeros(shape=(50,50), dtype='bool'))