™
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([6,5,4,12,10,11,2,15,0,7,13,9,3,1,14,8]) --
monosort([6,5,4,12,10,11,2,15,0,7,13,9,3,1,14,8])
divide d_lr -> ([6,5,4,12,10,11,2,15], [0,7,13,9,3,1,14,8])
monosort([6,5,4,12,10,11,2,15])
divide d_lr -> ([6,5,4,12], [10,11,2,15])
monosort([6,5,4,12])
divide d_lr -> ([6,5], [4,12])
monosort([6,5])
divide d_lr -> ([6], [5])
monosort([6])
⇣ atom; basef -> [6]
monosort([5])
⇣ atom; basef -> [5]
post #!mirr -> ([(6, 5)], [(5, 6)])
post !(min, max) -> ([5], [6])
post !nest -> ([5], [6])
combine c_lr -> [5,6]
monosort([4,12])
divide d_lr -> ([4], [12])
monosort([4])
⇣ atom; basef -> [4]
monosort([12])
⇣ atom; basef -> [12]
post #!mirr -> ([(4, 12)], [(12, 4)])
post !(min, max) -> ([4], [12])
post !nest -> ([4], [12])
combine c_lr -> [4,12]
post #!mirr -> ([(5, 12),(6, 4)], [(4, 6),(12, 5)])
post !(min, max) -> ([5,4], [6,12])
post !nest -> ([4,5], [6,12])
combine c_lr -> [4,5,6,12]
monosort([10,11,2,15])
divide d_lr -> ([10,11], [2,15])
monosort([10,11])
divide d_lr -> ([10], [11])
monosort([10])
⇣ atom; basef -> [10]
monosort([11])
⇣ atom; basef -> [11]
post #!mirr -> ([(10, 11)], [(11, 10)])
post !(min, max) -> ([10], [11])
post !nest -> ([10], [11])
combine c_lr -> [10,11]
monosort([2,15])
divide d_lr -> ([2], [15])
monosort([2])
⇣ atom; basef -> [2]
monosort([15])
⇣ atom; basef -> [15]
post #!mirr -> ([(2, 15)], [(15, 2)])
post !(min, max) -> ([2], [15])
post !nest -> ([2], [15])
combine c_lr -> [2,15]
post #!mirr -> ([(10, 15),(11, 2)], [(2, 11),(15, 10)])
post !(min, max) -> ([10,2], [11,15])
post !nest -> ([2,10], [11,15])
combine c_lr -> [2,10,11,15]
post #!mirr -> ([(4, 15),(5, 11),(6, 10),(12, 2)], [(2, 12),(10, 6),(11, 5),(15, 4)])
post !(min, max) -> ([4,5,6,2], [12,10,11,15])
post !nest -> ([2,4,5,6], [10,11,12,15])
combine c_lr -> [2,4,5,6,10,11,12,15]
monosort([0,7,13,9,3,1,14,8])
divide d_lr -> ([0,7,13,9], [3,1,14,8])
monosort([0,7,13,9])
divide d_lr -> ([0,7], [13,9])
monosort([0,7])
divide d_lr -> ([0], [7])
monosort([0])
⇣ atom; basef -> [0]
monosort([7])
⇣ atom; basef -> [7]
post #!mirr -> ([(0, 7)], [(7, 0)])
post !(min, max) -> ([0], [7])
post !nest -> ([0], [7])
combine c_lr -> [0,7]
monosort([13,9])
divide d_lr -> ([13], [9])
monosort([13])
⇣ atom; basef -> [13]
monosort([9])
⇣ atom; basef -> [9]
post #!mirr -> ([(13, 9)], [(9, 13)])
post !(min, max) -> ([9], [13])
post !nest -> ([9], [13])
combine c_lr -> [9,13]
post #!mirr -> ([(0, 13),(7, 9)], [(9, 7),(13, 0)])
post !(min, max) -> ([0,7], [9,13])
post !nest -> ([0,7], [9,13])
combine c_lr -> [0,7,9,13]
monosort([3,1,14,8])
divide d_lr -> ([3,1], [14,8])
monosort([3,1])
divide d_lr -> ([3], [1])
monosort([3])
⇣ atom; basef -> [3]
monosort([1])
⇣ atom; basef -> [1]
post #!mirr -> ([(3, 1)], [(1, 3)])
post !(min, max) -> ([1], [3])
post !nest -> ([1], [3])
combine c_lr -> [1,3]
monosort([14,8])
divide d_lr -> ([14], [8])
monosort([14])
⇣ atom; basef -> [14]
monosort([8])
⇣ atom; basef -> [8]
post #!mirr -> ([(14, 8)], [(8, 14)])
post !(min, max) -> ([8], [14])
post !nest -> ([8], [14])
combine c_lr -> [8,14]
post #!mirr -> ([(1, 14),(3, 8)], [(8, 3),(14, 1)])
post !(min, max) -> ([1,3], [8,14])
post !nest -> ([1,3], [8,14])
combine c_lr -> [1,3,8,14]
post #!mirr -> ([(0, 14),(7, 8),(9, 3),(13, 1)], [(1, 13),(3, 9),(8, 7),(14, 0)])
post !(min, max) -> ([0,7,3,1], [13,9,8,14])
post !nest -> ([0,1,3,7], [8,9,13,14])
combine c_lr -> [0,1,3,7,8,9,13,14]
post #!mirr -> ([(2, 14),(4, 13),(5, 9),(6, 8),(10, 7),(11, 3),(12, 1),(15, 0)], [(0, 15),(1, 12),(3, 11),(7, 10),(8, 6),(9, 5),(13, 4),(14, 2)])
post !(min, max) -> ([2,4,5,6,7,3,1,0], [15,12,11,10,8,9,13,14])
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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