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