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proper.py
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proper.py
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# My own generated and maybe already existing square root algorithms
# Copyright (C) <2022> <José Manuel Naveiro Gómez>
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
# You should have received a copy of the GNU General Public License
# along with this program. If not, see <https://www.gnu.org/licenses/>.
# Defining an initial value
def valor_ini(N):
j = N
i=0
while j>1:
j = j/10
i += 1
if(i%2==0):
num = 2*(10**i)
else:
num = 6*(10**i)
i=i-1
return num,i
# My own function
def funcion(N,S,k,k1):
num = (N-k)
den = (S+k1)
frac1 = num/den
frac2 = num/(den**2)
resul = S+((frac1-S+k1)/(frac2+1))
return resul
# General iteration for my own function
def propio(N):
S0,i = valor_ini(N)
k0 = 4*(10**i)
k1 = 2*(10**(i/2))
S = funcion(N,S0,k0,k1)
for j in range(100):
S0 = S
S = funcion(N,S0,k0,k1)
if(abs(S-S0)<0.000001):
break
return S,(j+1)
# My own symple function
def funcionS(N):
s,bas = valor_ini(N)
for i in range(100):
sol = ((s/2)+(N/(2*s)))
if abs(s-sol) < 0.000001:
break
else:
s = sol
return sol,i