I am trying to make a python loop where the output is used as the input, until the output and input is equivalent, this is the statement that i am trying to solve:
1
----- = x
1+x
The result will be 1 less than the golden ratio (0.618034...), i have done it on paper and it takes about 20 loops for a few decimal places of accuracy. Please tell me what type of python loop i would use to to solve this?
So, based on what you're describing here, you want a while loop, since you want to keep doing something until a given condition becomes true.
lastOutput = 0; # an arbitrary starting value: the last output value
# needs to be shared between loop cycles, so its
# scope must be outside the while loop
startingValue = # whatever you start at for input
finished = False # flag for tracking whether desired value has been reached
while (!finished):
# body of loop:
# here, you need to take lastOutput, run it through the
# function again, and check if the new output value is the
# same as the input that created it. If so, you are done,
# so set the flag to True, and note that the correct value is now stored in lastOutput
# If not, set the new output as lastOutput, and go again!
# ...and now finish up with whatever you want to do now that you've
# found the value (print it, etc.)!
As far as the logic for checking whether the values are the same, you will need to have some sort of threshold value for precision purposes (otherwise it'll run forever!), and I would recommend writing that check in its own method for modularity's sake.
Hope this helps, and just let me know if you need me to post more actual code (I tried not to give away too much actual code).
whileloop.