# [ACCEPTED]-Python: Mapping from intervals to values-intervals

You could try a take on this:

```
def check_mapping(p):
mapping = [(100, 0), (300, 1), (500, 2)] # Add all your values and returns here
for check, value in mapping:
if p <= check:
return value
print check_mapping(12)
print check_mapping(101)
print check_mapping(303)
```

produces:

```
0
1
2
```

As 2 always in Python, there will be any better 1 ways to do it.

It is indeed quite horrible. Without a requirement 6 to have no hardcoding, it should have been 5 written like this:

```
if p <= 100:
return 0
elif p <= 300:
return 1
elif p <= 500:
return 2
elif p <= 800:
return 3
elif p <= 1000:
return 4
else:
return 5
```

Here are examples of creating 4 a lookup function, both linear and using 3 binary search, with the no-hardcodings requirement 2 fulfilled, and a couple of sanity checks 1 on the two tables:

```
def make_linear_lookup(keys, values):
assert sorted(keys) == keys
assert len(values) == len(keys) + 1
def f(query):
return values[sum(1 for key in keys if query > key)]
return f
import bisect
def make_bisect_lookup(keys, values):
assert sorted(keys) == keys
assert len(values) == len(keys) + 1
def f(query):
return values[bisect.bisect_left(keys, query)]
return f
```

Try something along the lines of:

```
d = {(None,100): 0,
(100,200): 1,
...
(1000, None): 5}
value = 300 # example value
for k,v in d.items():
if (k[0] is None or value > k[0]) and (k[1] is None or value <= k[1]):
return v
```

0

```
def which_interval(endpoints, number):
for n, endpoint in enumerate(endpoints):
if number <= endpoint:
return n
previous = endpoint
return n + 1
```

Pass your endpoints as a list in `endpoints`

, like 3 this:

```
which_interval([100, 300, 500, 800, 1000], 5)
```

Edit:

The above is a linear search. Glenn 2 Maynard's answer will have better performance, since 1 it uses a bisection algorithm.

Another way ...

```
def which(lst, p):
return len([1 for el in lst if p > el])
lst = [100, 300, 500, 800, 1000]
which(lst, 2)
which(lst, 101)
which(lst, 1001)
```

0

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