™
Mou Code
Divacon Trace Output
monosort-- source --
randarr = shuffled(4)
nest = PDC(d_lr,c_lr, !(min,max) @ #!corr, id, atom, id)
monosort = PDC(d_lr,c_lr, id, !nest @ !(min,max) @ #!mirr, atom, id)
trace(monosort, randarr)
-- end source --
-- lib: monosort_lib.py --
"""Helpers for monosort.dc.
Loaded via: ./pydc dcsrc/monosort.dc dcsrc/monosort_lib.py
`randints(N)` returns 2^N random integers in [0, 99] — small enough that
the trace stays readable, big enough that collisions are rare for small N.
`shuffled(N)` returns a uniform permutation of [0..2^N - 1] — useful for
verifying the sort end-to-end (output should be [0, 1, ..., 2^N - 1])."""
import random
def randints(N, lo=0, hi=99, seed=None):
"""List of 2**N random integers in [lo, hi]."""
if seed is not None:
random.seed(seed)
return [random.randint(lo, hi) for _ in range(2 ** N)]
def shuffled(N, seed=None):
"""A random permutation of [0..2**N - 1]."""
if seed is not None:
random.seed(seed)
arr = list(range(2 ** N))
random.shuffle(arr)
return arr
-- end lib --
-- trace: monosort([2,11,0,9,7,14,15,1,3,4,10,13,6,8,12,5]) --
monosort([2,11,0,9,7,14,15,1,3,4,10,13,6,8,12,5])
divide d_lr -> ([2,11,0,9,7,14,15,1], [3,4,10,13,6,8,12,5])
monosort([2,11,0,9,7,14,15,1])
divide d_lr -> ([2,11,0,9], [7,14,15,1])
monosort([2,11,0,9])
divide d_lr -> ([2,11], [0,9])
monosort([2,11])
divide d_lr -> ([2], [11])
monosort([2])
⇣ atom; basef -> [2]
monosort([11])
⇣ atom; basef -> [11]
post #!mirr -> ([(2, 11)], [(11, 2)])
post !(min, max) -> ([2], [11])
post !nest -> ([2], [11])
combine c_lr -> [2,11]
monosort([0,9])
divide d_lr -> ([0], [9])
monosort([0])
⇣ atom; basef -> [0]
monosort([9])
⇣ atom; basef -> [9]
post #!mirr -> ([(0, 9)], [(9, 0)])
post !(min, max) -> ([0], [9])
post !nest -> ([0], [9])
combine c_lr -> [0,9]
post #!mirr -> ([(2, 9),(11, 0)], [(0, 11),(9, 2)])
post !(min, max) -> ([2,0], [11,9])
post !nest -> ([0,2], [9,11])
combine c_lr -> [0,2,9,11]
monosort([7,14,15,1])
divide d_lr -> ([7,14], [15,1])
monosort([7,14])
divide d_lr -> ([7], [14])
monosort([7])
⇣ atom; basef -> [7]
monosort([14])
⇣ atom; basef -> [14]
post #!mirr -> ([(7, 14)], [(14, 7)])
post !(min, max) -> ([7], [14])
post !nest -> ([7], [14])
combine c_lr -> [7,14]
monosort([15,1])
divide d_lr -> ([15], [1])
monosort([15])
⇣ atom; basef -> [15]
monosort([1])
⇣ atom; basef -> [1]
post #!mirr -> ([(15, 1)], [(1, 15)])
post !(min, max) -> ([1], [15])
post !nest -> ([1], [15])
combine c_lr -> [1,15]
post #!mirr -> ([(7, 15),(14, 1)], [(1, 14),(15, 7)])
post !(min, max) -> ([7,1], [14,15])
post !nest -> ([1,7], [14,15])
combine c_lr -> [1,7,14,15]
post #!mirr -> ([(0, 15),(2, 14),(9, 7),(11, 1)], [(1, 11),(7, 9),(14, 2),(15, 0)])
post !(min, max) -> ([0,2,7,1], [11,9,14,15])
post !nest -> ([0,1,2,7], [9,11,14,15])
combine c_lr -> [0,1,2,7,9,11,14,15]
monosort([3,4,10,13,6,8,12,5])
divide d_lr -> ([3,4,10,13], [6,8,12,5])
monosort([3,4,10,13])
divide d_lr -> ([3,4], [10,13])
monosort([3,4])
divide d_lr -> ([3], [4])
monosort([3])
⇣ atom; basef -> [3]
monosort([4])
⇣ atom; basef -> [4]
post #!mirr -> ([(3, 4)], [(4, 3)])
post !(min, max) -> ([3], [4])
post !nest -> ([3], [4])
combine c_lr -> [3,4]
monosort([10,13])
divide d_lr -> ([10], [13])
monosort([10])
⇣ atom; basef -> [10]
monosort([13])
⇣ atom; basef -> [13]
post #!mirr -> ([(10, 13)], [(13, 10)])
post !(min, max) -> ([10], [13])
post !nest -> ([10], [13])
combine c_lr -> [10,13]
post #!mirr -> ([(3, 13),(4, 10)], [(10, 4),(13, 3)])
post !(min, max) -> ([3,4], [10,13])
post !nest -> ([3,4], [10,13])
combine c_lr -> [3,4,10,13]
monosort([6,8,12,5])
divide d_lr -> ([6,8], [12,5])
monosort([6,8])
divide d_lr -> ([6], [8])
monosort([6])
⇣ atom; basef -> [6]
monosort([8])
⇣ atom; basef -> [8]
post #!mirr -> ([(6, 8)], [(8, 6)])
post !(min, max) -> ([6], [8])
post !nest -> ([6], [8])
combine c_lr -> [6,8]
monosort([12,5])
divide d_lr -> ([12], [5])
monosort([12])
⇣ atom; basef -> [12]
monosort([5])
⇣ atom; basef -> [5]
post #!mirr -> ([(12, 5)], [(5, 12)])
post !(min, max) -> ([5], [12])
post !nest -> ([5], [12])
combine c_lr -> [5,12]
post #!mirr -> ([(6, 12),(8, 5)], [(5, 8),(12, 6)])
post !(min, max) -> ([6,5], [8,12])
post !nest -> ([5,6], [8,12])
combine c_lr -> [5,6,8,12]
post #!mirr -> ([(3, 12),(4, 8),(10, 6),(13, 5)], [(5, 13),(6, 10),(8, 4),(12, 3)])
post !(min, max) -> ([3,4,6,5], [13,10,8,12])
post !nest -> ([3,4,5,6], [8,10,12,13])
combine c_lr -> [3,4,5,6,8,10,12,13]
post #!mirr -> ([(0, 13),(1, 12),(2, 10),(7, 8),(9, 6),(11, 5),(14, 4),(15, 3)], [(3, 15),(4, 14),(5, 11),(6, 9),(8, 7),(10, 2),(12, 1),(13, 0)])
post !(min, max) -> ([0,1,2,7,6,5,4,3], [15,14,11,9,8,10,12,13])
post !nest -> ([0,1,2,3,4,5,6,7], [8,9,10,11,12,13,14,15])
combine c_lr -> [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
-- result: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
--
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