import decimal
import sys
sys.set_int_max_str_digits(0)
def binary_split(a, b):
if b == a + 1:
Pab = -(6*a - 5)*(2*a - 1)*(6*a - 1)
Qab = 10939058860032000 * a**3
Rab = Pab * (545140134*a + 13591409)
else:
m = (a + b) // 2
Pam, Qam, Ram = binary_split(a, m)
Pmb, Qmb, Rmb = binary_split(m, b)
Pab = Pam * Pmb
Qab = Qam * Qmb
Rab = Qmb * Ram + Pam * Rmb
return Pab, Qab, Rab
def chudnovsky(n):
P1n, Q1n, R1n = binary_split(1, n)
print(f"n = {(426880 * decimal.Decimal(10005).sqrt() * Q1n)}")
print(f"d = {(13591409*Q1n + R1n)}")
return (426880 * decimal.Decimal(10005).sqrt() * Q1n) / (13591409*Q1n + R1n)
decimal.getcontext().prec = 105 print(f"1 = {chudnovsky(105)}")