Creating a list from a for loop-CodePudding

I have attempted to change my code several times to create an array of the required values of S.

import math as math

def trap(f,a,b):
    return ( f(a)   f(b) ) / 2 * (b-a)

a = 0
b = 2
n_vals = [2**p for p in range (0,21)]
h_vals = [(b-a)/n for n in n_vals]

f= lambda x: math.exp(x) x**2
for n,h in zip(n_vals,h_vals):
    S = 0
    for k in range(n):
        thisA = a k*h
        thisB = a (k 1)*h
        S  = trap(f,thisA,thisB)        
        print(f"Integral  for {n} partitions = {S}")

Is there a way to produce a list that reads

I = [12.38905609893065, 9.91280987792437, 9.271610109481282, ...]

CodePudding user response：

What are the "required" values? If it's all of them, you can initialize a list and append to it.

import math as math

def trap(f,a,b):
    return ( f(a)   f(b) ) / 2 * (b-a)

a = 0
b = 2
n_vals = [2**p for p in range (0,21)]
h_vals = [(b-a)/n for n in n_vals]

f= lambda x: math.exp(x) x**2
output = []
for n,h in zip(n_vals,h_vals):
    S = 0
    for k in range(n):
        thisA = a k*h
        thisB = a (k 1)*h
        S  = trap(f,thisA,thisB)        
        print(f"Integral  for {n} partitions = {S}")
        output.append(S)
print(output)