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Python/maths/number_of_digits.py at master · CarsonHam/Python · GitHub
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import
math
from
timeit
import
timeit
def
num_digits
(
n
:
int
)
->
int
:
"""
Find the number of digits in a number.
>>> num_digits(12345)
5
>>> num_digits(123)
3
>>> num_digits(0)
1
>>> num_digits(-1)
1
>>> num_digits(-123456)
6
"""
digits
=
0
n
=
abs
(
n
)
while
True
:
n
=
n
//
10
digits
+=
1
if
n
==
0
:
break
return
digits
def
num_digits_fast
(
n
:
int
)
->
int
:
"""
Find the number of digits in a number.
abs() is used as logarithm for negative numbers is not defined.
>>> num_digits_fast(12345)
5
>>> num_digits_fast(123)
3
>>> num_digits_fast(0)
1
>>> num_digits_fast(-1)
1
>>> num_digits_fast(-123456)
6
"""
return
1
if
n
==
0
else
math
.
floor
(
math
.
log
(
abs
(
n
),
10
)
+
1
)
def
num_digits_faster
(
n
:
int
)
->
int
:
"""
Find the number of digits in a number.
abs() is used for negative numbers
>>> num_digits_faster(12345)
5
>>> num_digits_faster(123)
3
>>> num_digits_faster(0)
1
>>> num_digits_faster(-1)
1
>>> num_digits_faster(-123456)
6
"""
return
len
(
str
(
abs
(
n
)))
def
benchmark
()
->
None
:
"""
Benchmark code for comparing 3 functions,
with 3 different length int values.
"""
print
(
"
\n
For small_num = "
,
small_num
,
":"
)
print
(
"> num_digits()"
,
"
\t
\t
ans ="
,
num_digits
(
small_num
),
"
\t
time ="
,
timeit
(
"z.num_digits(z.small_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
print
(
"> num_digits_fast()"
,
"
\t
ans ="
,
num_digits_fast
(
small_num
),
"
\t
time ="
,
timeit
(
"z.num_digits_fast(z.small_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
print
(
"> num_digits_faster()"
,
"
\t
ans ="
,
num_digits_faster
(
small_num
),
"
\t
time ="
,
timeit
(
"z.num_digits_faster(z.small_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
print
(
"
\n
For medium_num = "
,
medium_num
,
":"
)
print
(
"> num_digits()"
,
"
\t
\t
ans ="
,
num_digits
(
medium_num
),
"
\t
time ="
,
timeit
(
"z.num_digits(z.medium_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
print
(
"> num_digits_fast()"
,
"
\t
ans ="
,
num_digits_fast
(
medium_num
),
"
\t
time ="
,
timeit
(
"z.num_digits_fast(z.medium_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
print
(
"> num_digits_faster()"
,
"
\t
ans ="
,
num_digits_faster
(
medium_num
),
"
\t
time ="
,
timeit
(
"z.num_digits_faster(z.medium_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
print
(
"
\n
For large_num = "
,
large_num
,
":"
)
print
(
"> num_digits()"
,
"
\t
\t
ans ="
,
num_digits
(
large_num
),
"
\t
time ="
,
timeit
(
"z.num_digits(z.large_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
print
(
"> num_digits_fast()"
,
"
\t
ans ="
,
num_digits_fast
(
large_num
),
"
\t
time ="
,
timeit
(
"z.num_digits_fast(z.large_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
print
(
"> num_digits_faster()"
,
"
\t
ans ="
,
num_digits_faster
(
large_num
),
"
\t
time ="
,
timeit
(
"z.num_digits_faster(z.large_num)"
,
setup
=
"import __main__ as z"
),
"seconds"
,
)
if
__name__
==
"__main__"
:
small_num
=
262144
medium_num
=
1125899906842624
large_num
=
1267650600228229401496703205376
benchmark
()
import
doctest
doctest
.
testmod
()
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