AI / IA 2022-10-19

# 1.py
import math

DEFAULT_STARTING_NUMBER = 999
DEFAULT_PRECISION = 1/1000

def heronOfAlexandriaAlgoForSR(
    pX, # I want to know the square root of
    pStartingGuess = DEFAULT_STARTING_NUMBER,
    pPrecision = DEFAULT_PRECISION,
    pbVerbose:bool = True
):
    guess = pStartingGuess
    distance = guess**2 - pX
    distance = math.fabs(distance)
    bGoodEnough:bool = distance <= pPrecision

    iIteration:int = 1
    while(not bGoodEnough):
        iIteration += 1
        guess = (guess + pX/guess)/2
        distance = guess ** 2 - pX
        distance = math.fabs(distance)
        bGoodEnough: bool = distance <= pPrecision

        strMsg = f"Iteration:{iIteration}\n"
        strMsg += f"Current guess: {guess}\n"
        strMsg += f"Current distance: {distance}\n"
        if (pbVerbose):
            print(strMsg)
        # if
    # while
    # guess is the square of pX
    return guess
# def heronOfAlexandriaAlgoForSR