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