


Collecting the Results of Repeated Calculations
Problem Statement:
I need to collect the results of a calculation performed repeatedly for multiple values of x and use them afterward.
General Approaches
Using an Explicit Loop:
- Create a list or dictionary before the loop and append or associate results as they are calculated:
ys = [] for x in [1, 3, 5]: ys.append(x + 1) ys = {} x = 19 while x != 1: y = next_collatz(x) ys[x] = y x = y
Using a Comprehension or Generator Expression:
-
List comprehension:
xs = [1, 3, 5] ys = [x + 1 for x in xs]
-
Dictionary comprehension:
ys = {x: x + 1 for x in xs}
Using map:
-
Map a function to a sequence and convert the result to a list:
def calc_y(an_x): return an_x + 1 xs = [1, 3, 5] ys = list(map(calc_y, xs))
Specific Examples:
Collecting Results for a Fixed Sequence:
def make_list_with_inline_code_and_for(): ys = [] for x in [1, 3, 5]: ys.append(x + 1) return ys def make_dict_with_function_and_while(): x = 19 ys = {} while x != 1: y = next_collatz(x) ys[x] = y # associate each key with the next number in the Collatz sequence. x = y # continue calculating the sequence. return ys
Managing Changing Data during a Loop:
Using a Generator Expression:
def collatz_from_19(): def generate_collatz(): nonlocal x yield x while x != 1: x = next_collatz(x) yield x x = 19 return generate_collatz()
Using map:
def collatz_from_19_with_map(): def next_collatz2(value): nonlocal x x = value return next_collatz(x) x = 19 return map(next_collatz2, range(1))
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