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-rw-r--r--lib/utils/geometry.py2
-rw-r--r--lib/utils/prng.py58
2 files changed, 59 insertions, 1 deletions
diff --git a/lib/utils/geometry.py b/lib/utils/geometry.py
index 98f40709..0ca13d8f 100644
--- a/lib/utils/geometry.py
+++ b/lib/utils/geometry.py
@@ -148,7 +148,7 @@ def cut_path(points, length):
class Point:
- def __init__(self, x, y):
+ def __init__(self, x: float, y: float):
self.x = x
self.y = y
diff --git a/lib/utils/prng.py b/lib/utils/prng.py
new file mode 100644
index 00000000..2ec037c6
--- /dev/null
+++ b/lib/utils/prng.py
@@ -0,0 +1,58 @@
+from hashlib import blake2s
+from math import ceil
+from itertools import count, chain
+import numpy as np
+
+# Framework for reproducable pseudo-random number generation.
+
+# Unlike python's random module (which uses a stateful generator based on global variables),
+# a counter-mode PRNG like uniformFloats can be used to generate multiple, independent random streams
+# by including an additional parameter before the loop counter.
+# This allows different aspects of an embroidery element to not effect each other's rolls,
+# making random generation resistant to small edits in the control paths or refactoring.
+# Using multiple counters for n-dimentional random streams is also possible and is useful for grid-like structures.
+
+
+def joinArgs(*args):
+ # Stringifies parameters into a slash-separated string for use in hash keys.
+ # Idempotent and associative.
+ return "/".join([str(x) for x in args])
+
+
+MAX_UNIFORM_INT = 2 ** 32 - 1
+
+
+def uniformInts(*args):
+ # Single pseudo-random drawing determined by the joined parameters.
+ # To get a longer sequence of random numbers, call this loop with a counter as one of the parameters.
+ # Returns 8 uniformly random uint32.
+
+ s = joinArgs(*args)
+ # blake2s is python's fastest hash algorithm for small inputs and is designed to be usable as a PRNG.
+ h = blake2s(s.encode()).hexdigest()
+ nums = []
+ for i in range(0, 64, 8):
+ nums.append(int(h[i:i+8], 16))
+ return np.array(nums)
+
+
+def uniformFloats(*args):
+ # Single pseudo-random drawing determined by the joined parameters.
+ # To get a longer sequence of random numbers, call this loop with a counter as one of the parameters.
+ # Returns an array of 8 floats in the range [0,1]
+ return uniformInts(*args) / MAX_UNIFORM_INT
+
+
+def nUniformFloats(n: int, *args):
+ # returns a fixed number (which may exceed 8) of floats in the range [0,1]
+ seed = joinArgs(*args)
+ nBlocks = ceil(n/8)
+ blocks = [uniformFloats(seed, x) for x in range(nBlocks)]
+ return np.concatenate(blocks)[0:n]
+
+
+def iterUniformFloats(*args):
+ # returns an infinite sequence of floats in the range [0,1]
+ seed = joinArgs(*args)
+ blocks = map(lambda x: list(uniformFloats(seed, x)), count(0))
+ return chain.from_iterable(blocks)