I have a one-dimensional numpy
array - for example,
a = np.array([1, 4, 5, 7, 1, 2, 2, 4, 10])
I would like to obtain the index of the first number for which the N subsequent values are below a certain value x.
In this case, for N=3
and x=3
, I would search for the first number for which the three entries following it were all less than three. This would be a[4]
.
This can easily be implemented by simply iterating through all the values via a for
loop, but I was wondering if there any cleaner and more efficient ways of accomplishing this.
Approach #1 :
Here's a vectorized NumPy way -
def start_valid_island(a, thresh, window_size):
m = a<thresh
me = np.r_[False,m,False]
idx = np.flatnonzero(me[:-1]!=me[1:])
lens = idx[1::2]-idx[::2]
return idx[::2][(lens >= window_size).argmax()]
Sample runs -
In [44]: a
Out[44]: array([ 1, 4, 5, 7, 1, 2, 2, 4, 10])
In [45]: start_valid_island(a, thresh=3, window_size=3)
Out[45]: 4
In [46]: a[:3] = 1
In [47]: start_valid_island(a, thresh=3, window_size=3)
Out[47]: 0
Approach #2 :
With SciPy's binary-erosion
-
from scipy.ndimage.morphology import binary_erosion
def start_valid_island_v2(a, thresh, window_size):
m = a<thresh
k = np.ones(window_size,dtype=bool)
return binary_erosion(m,k,origin=-(window_size//2)).argmax()
Approach #3 :
To complete the set , here's a loopy one based on short-ciruiting and using the efficiency of numba
-
from numba import njit
@njit
def start_valid_island_v3(a, thresh, window_size):
n = len(a)
out = None
for i in range(n-window_size+1):
found = True
for j in range(window_size):
if a[i+j]>=thresh:
found = False
break
if found:
out = i
break
return out
Timings -
In [142]: np.random.seed(0)
...: a = np.random.randint(0,10,(100000000))
In [145]: %timeit start_valid_island(a, thresh=3, window_size=3)
1 loop, best of 3: 810 ms per loop
In [146]: %timeit start_valid_island_v2(a, thresh=3, window_size=3)
1 loop, best of 3: 1.27 s per loop
In [147]: %timeit start_valid_island_v3(a, thresh=3, window_size=3)
1000000 loops, best of 3: 608 ns per loop
Try it like this, will return None
if no number matches the condition:
def func(a, n, x):
for i, e in enumerate(a):
nextN = a[i+1:i+n+1]
if len(nextN) < n:
return None
elif all([j < x for j in nextN]):
return e
For what it is worth, this is how to do it in vanilla-python .
a = [1,4,5,7,1,2,2,4,10]
res = next(i for i in range(len(a)-3) if all(j<3 for j in a[i:i+3]))
print(res) # 4
Probably most Numpy
solutions are going to be faster though.
Also note that the above will throw StopIteration
if no solution can be found, so consider wrapping it up in a try
-block.
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