def main():
print("Root Finding With Newton's Method")
while True:
try:
string = input("expression > ")
guess = input("guess > ")
try:
guess = float(guess)
except Exception:
raise Exception()
precision = input("precision > ")
try:
precision = float(precision)
except Exception:
raise Exception()
niter = input("iterations > ")
try:
niter = int(niter)
except Exception:
raise Exception()
tokens = lex(string)
expr = parse(tokens)
root = newton(expr, guess, precision, niter)
if root == None:
print("No root was found.")
else:
print(root)
print()
except KeyboardInterrupt:
print("Quitting...")
exit(0)
except Exception:
print("Issue in expression or guess. ")
continue
def test():
tokens = [
LN, LEFT_PAREN, 4., ADD, 3., RIGHT_PAREN, SUB, LEFT_PAREN, 2., ADD, 5.,
ADD, 3., ADD, 3., MUL, 2., RIGHT_PAREN
]
s = "x + (x * x) * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x"
tokens = lex(s)
print(parse(tokens))
def test():
s = "-6 - -5 + 4 + 3 + 2 + 1 + 0 ^ 3 + x"
s = "x + (x * x) * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x"
s = "((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3) + ((1 + 2) + 3)"
s = "1 + 2 * 1 * 3 ^ 4 - 1 * 3"
s = "1 + 2 + 3 * 0 + 3 + 3 ^ 1 + 2 + 3 + 2 * 3 + 1 + 3"
tokens = lex(s)
# tokens = [LN, LEFT_PAREN, 4., ADD, 3., RIGHT_PAREN, SUB, LEFT_PAREN,
# 2., ADD, 5., ADD, 3., ADD, 3., MUL, 2., RIGHT_PAREN]
print(parse(tokens))
def test():
s = "3 + 4"
tokens = lex(s)
expr = parse(tokens)
deriv = diff(expr)
optimized = optimize(deriv)
print(tokens)
print(expr)
print(deriv)
print(optimized)
def main():
print("Automatic Differentiation")
while True:
try:
string = input("> ")
tokens = lex(string)
expr = parse(tokens)
deriv = diff(expr)
optimized = optimize(deriv)
print(optimized)
except KeyboardInterrupt:
print("Quitting...")
exit(0)
except Exception:
print("Issue in expression. ")
continue