Python arithmetic operation returns 0 - python-2.7

read = True
while read:
my_input = int(raw_input())
print my_input
result = (1/6) * my_input * (my_input + 1) * (my_input +2)
if result == 0:
print ''
read = False
break
else:
print result
I wrote this little code snippet to solve 1 + (1+2) + (1+2+3+)... without looping over anything but the result is always 0 for some reason. I am using PyDev on Eclipse but I do not think that's even remotely the issue
Thank you

Multiplying by zero always results in zero.
>>> a = (1/6)
>>> print a
0
This is happening because Python is casting the resulting operation to integer.
In order to get a float result you can specify the values in decimal notation.
>>> a = 1.0/6.0
>>> print a
0.166666666667

Integer division.
When you divide (1/6) it comes out to 0 because of integer division.
When two ints are divided, they come out to the normal answer, minus anything after the decimal point.
For example, 1/4 would usually equal 0.25.
However, everything after the decimal point is dropped, so it comes out to 0.

Related

Python - Rounding to two specific digits EXACTLY

The number I have = 52.003
The number I want = 52.00
The number I get after rounding to 2 decimal places:
round(52.003, 2)
>>> 52.0
How do I keep the second digit without Python automatically rounding it?
You can use the format() function in Python.
"{0:.2f}".format(round(52.003, 2))
You can also use the string formatting operator.
'%.2f' % 52.003
You can modify the output format like this:
a = 52.003
print "%.2f" % a
Try this function :
import numpy as np
Round = lambda x, n: eval('"%.' + str(int(n)) + 'f" % ' + repr(x))
a = Round(52.003,2)
print a
>>> 52.00
Just indicate the number of decimals you want as a kwarg. However the result will be a string.

Python code to convert decimal to binary

I need to write a Python script that will convert and number x in base 10 to binary with up to n values after the decimal point. And I can't just use bin(x)! Here's what I have:
def decimal_to_binary(x, n):
x = float(x)
test_str = str(x)
dec_at = test_str.find('.')
#This section will work with numbers in front of the decimal
p=0
binary_equivalent = [0]
c=0
for m in range(0,100):
if 2**m <= int(test_str[0:dec_at]):
c += 1
else:
break
for i in range(c, -1, -1):
if 2**i + p <= (int(test_str[0:dec_at])):
binary_equivalent.append(1)
p = p + 2**i
else:
binary_equivalent.append(0)
binary_equivalent.append('.')
#This section will work with numbers after the decimal
q=0
for j in range(-1, -n-1, -1):
if 2**j + q <= (int(test_str[dec_at+1:])):
binary_equivalent.append(1)
q = q + 2**j
else:
binary_equivalent.append(0)
print float((''.join(map(str, binary_equivalent))))
So say you call the function by decimal_to_binary(123.456, 4) it should convert 123.456 to binary with 4 places after the decimal, yielding 1111011.0111.
The first portion is fine - it will take the numbers in front of the decimal, in this case 123, and convert it to binary, outputting 1111011
However, the second portion, which deals with values after the decimal, is not doing what I think it should. The output it gives is not .0111, but rather .1111
I ran through the code with pen and paper writing down the value for each variable and it should work. But it doesn't. Can anyone help me fix this?
I call the function as decimal_to_binary(123.456, 4) and it prints out 1111011.1111
You're close, but there's an issue with your comparison when you go beyond the decimal:
if 2**j + q <= (int(test_str[dec_at+1:])):
What you're doing here is comparing a fractional value (since j is always negative) to a whole integer value. This comparison will, for all practical purposes, always be true.
Based on the surrounding logic, my guess would be that you're attempting to compare it to the actual decimal value here. Using your data, that would be 0.4 on the first iteration, so you expect the statement to be evaluated as:
0.5 <= 0.4
The actual comparison in your code is:
0.5 <= 4
There are two separate issues here:
You're taking all of the numbers after the decimal point, but not actually including the decimal point itself in your extraction. This is primarily why you are getting whole numbers in your test incorrectly. This is fixed simply by referencing test_str[dec_at:] rather than test_str[dec_at+1:]
You're casting to int. Even if you applied the change in the first point, your code would still not run correctly. However, in that case it would be because the cast would truncate the value down to 0 on every iteration. Cast to a float instead: float(test_str[dec_at:])
Your comparison line thus becomes if 2**j + q <= (float(test_str[dec_at:])):, which provides the correct output on my machine.
Note that floating point comparisons can be "finicky" in some situations, depending on rounding and the like. There are ways to mitigate this if needed.

Division in python 2.7

This gives output as 0:
print -4/-5
Whereas:
print float(-4/-5)
This gives output as 0.0 . The required output is 0.8
You are doing integer division instead of floating point division. It has been answered already: Python division .
Casting types after the division doesn't make sense.
float(4)/float(5)
Or simpler
4./5.
should do the trick
To understand,
print float(-4/-5)
Bracket is calculated first. Value given to float is 0. Typecasting 0 to 0.0
This will give the required output:
print float(-4)/-5
/ does integer division.
To get your desired output, the operands should be float (either or both).
-4.0 / -5.0 = 0.8
To explain the second code snippet, the first one to be evaluated is the operation -4 / -5 which results to 0 since we did an integer division. Now what you tried to do is to convert 0 to a floating point using the function float(). Converting that resulted to 0.0

Can't divide a smaller number by a larger number in Python

In python, i cannot divide 5 by 22. When I try this, it gives me zero-even when i use float?!!
>>> print float(5/22)
0.0
It's a problem with order of operations. What's happening is this:
* First python takes 5/22. Since 5 and 22 are integers, it returns an integer result, rounding down. The result is 0
* Next you're converting to a float. So float(0) results in 0.0
What you want to do is force one (or both) operands to floats before dividing. e.g.
print 5.0/22 (if you know the numbers absolutely)
print float(x)/22 (if you need to work with a variable integer x)
Right now you're casting the result of integer division (5/22) to float. 5/22 in integer division is 0, so you'll be getting 0 from that. You need to call float(5)/22.

Differentiate between a number (of type double) with decimal places and one without - c++

I am trying to implement a simple decimation algorithm in c++. I have two arrays, say p & q, where the subscripts are related to each other by the following relation:
p[k] = q[0.5*k]. This means that the following sequence should hold valid:
p[0] = q[0]
p[1] = 0
p[2] = q[1]
p[3] = 0
p[4] = q[2]
and so on...
Please note that p[k] takes on a value only and only when the result of (0.5*k) contains no decimal places (or has 0 in decimal) and does not use any rounding off etc.
My question is: Is there a way to distinguish between an integer (a number with no decimal places or only 0 in decimal, say 2.0) and a number with decimal places in C++, provided both are cast to double?
eg.) 2.0 is an integer cast to double. 2.1 is a number with decimal places.
eg. 2) * 0.9*2 should put 0 into array p while 0.9*10 should put q[9] into array p.*
If I use the statement, (int) (0.5*k), then I end up with an integer in every case, irrespective of the value of k.
Edit: The 0.5 in the above case is only illustrative. It could be any number, say 2, 2.5, 0.9, 0.95 etc.)
Any help is most welcome,
Thanks,
Sriram.
Assuming k is of an integer type, you could use if (k % 2 == 0) ... to check if kis divisible by two:
if (k % 2 == 0)
p[k] = q[k / 2];
else
p[k] = 0;
This can also be expressed using the ternary operator:
p[k] = (k % 2 == 0) ? q[k / 2] : 0;
Presuming that the coef can be anything else,
p[floor(coef*k)] = (fabs(coef*k-floor(coef*k))<1E-6)?q[k]:0;
The short syntax for what you want to do could be this:
p[k] = k % 2 ? 0 : q[k/2];
Is there a way to distinguish between a whole number and an integer in C++?
Define whole number, and define integer in this context. I'm confused!
Are you taking about the difference as explained here?
If you want to detect whether a number is integer or not, then probably this may help:
#include<cmath>
bool IsInteger(double d)
{
double intpart;
return std::modf(double number, &intpart) == 0.0;
}
k % 2 is in a couple of answers in this thread.
However, this is not useful in answering the OP's question. Note the edit:
"Edit: The 0.5 in the above case is only illustrative. It could be any number, say 2, 2.5, 0.9, 0.95 etc.)"
k % 2 only works because the value chosen was 0.5. It won't hold true for any other values.
Therefore, unless I'm missing something entirely, the simplest approach I can think of is the following:
Subtract the floor of the number from the number itself. If the result is > 0, it is not an integer.
Unless you have expressions that result in irrational numbers, you could use Boost.Rational to represent your indizes.
#Aix's suggestion of k%2 looks like it'd combine nicely with the ?: operator:
p[k] = (k%2) ? 0 : q[k/2];