import collections
import hashlib
import random
EllipticCurve_1 = collections.namedtuple('EllipticCurve', 'name p a b g n h')

curve = EllipticCurve_1(
    'secp256k1',
    # Field characteristic.
    p=0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f,
    # Curve coefficients.
    a=0,
    b=7,
    # Base point.
    g=(0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798,
       0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8),
    # Subgroup order.
    n=0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141,
    # Subgroup cofactor.
    h=1,
)


# Modular arithmetic ##########################################################

def inverse_mod(k, p):
    """Returns the inverse of k modulo p.
    This function returns the only integer x such that (x * k) % p == 1.
    k must be non-zero and p must be a prime.
    """
    if k == 0:
        raise ZeroDivisionError('division by zero')

    if k < 0:
        # k ** -1 = p - (-k) ** -1  (mod p)
        return p - inverse_mod(-k, p)

    # Extended Euclidean algorithm.
    s, old_s = 0, 1
    t, old_t = 1, 0
    r, old_r = p, k

    while r != 0:
        quotient = old_r // r
        old_r, r = r, old_r - quotient * r
        old_s, s = s, old_s - quotient * s
        old_t, t = t, old_t - quotient * t

    gcd, x, y = old_r, old_s, old_t

    assert gcd == 1
    assert (k * x) % p == 1

    return x % p


# Functions that work on curve points #########################################

def is_on_curve(point):
    """Returns True if the given point lies on the elliptic curve."""
    if point is None:
        # None represents the point at infinity.
        return True

    x, y = point

    return (y * y - x * x * x - curve.a * x - curve.b) % curve.p == 0


def point_neg(point):
    """Returns -point."""
    assert is_on_curve(point)

    if point is None:
        # -0 = 0
        return None

    x, y = point
    result = (x, -y % curve.p)

    assert is_on_curve(result)

    return result


def point_add(point1, point2):
    """Returns the result of point1 + point2 according to the group law."""
    assert is_on_curve(point1)
    assert is_on_curve(point2)

    if point1 is None:
        # 0 + point2 = point2
        return point2
    if point2 is None:
        # point1 + 0 = point1
        return point1

    x1, y1 = point1
    x2, y2 = point2

    if x1 == x2 and y1 != y2:
        # point1 + (-point1) = 0
        return None

    if x1 == x2:
        # This is the case point1 == point2.
        m = (3 * x1 * x1 + curve.a) * inverse_mod(2 * y1, curve.p)
    else:
        # This is the case point1 != point2.
        m = (y1 - y2) * inverse_mod(x1 - x2, curve.p)

    x3 = m * m - x1 - x2
    y3 = y1 + m * (x3 - x1)
    result = (x3 % curve.p,
              -y3 % curve.p)

    assert is_on_curve(result)

    return result


def scalar_mult(k, point):
    """Returns k * point computed using the double and point_add algorithm."""
    assert is_on_curve(point)

    if k % curve.n == 0 or point is None:
        return None

    if k < 0:
        # k * point = -k * (-point)
        return scalar_mult(-k, point_neg(point))

    result = None
    addend = point

    while k:
        if k & 1:
            # Add.
            result = point_add(result, addend)

        # Double.
        addend = point_add(addend, addend)

        k >>= 1

    assert is_on_curve(result)

    return result
 


for i in range(1,180):
    print("---------------"+str(i))
    k=2**32
    d=scalar_mult(k, curve.g)
    r_x=d[0]                           # here you can put x of pubkey or x of nonce
    print("r",r_x) 
    message=random.randrange(2**255,curve.n-1)
    print("message",message)
    b=random.randrange(1,10)
    #print("b",b)
    a= message*inverse_mod(r_x*inverse_mod(b,curve.n),curve.n)%curve.n
    #print("a",a)
    s = r_x * inverse_mod(b, curve.n) % curve.n
    print("s",s)
     
     
    d_a=scalar_mult(a, curve.g)
    d_a_n=point_neg(d_a)
    dr=point_add(d,d_a_n)
     
    print(dr)
     

n=0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141
import random
a=random.randrange(1,1000) # private_key 1
b=random.randrange(1,1000) # private_key 2

print("priv1",a)
print("priv2",b)

if b>a: # must priv1 be largest that priv 2
    a1=a
    a=b
    b=a1
    
dict_priv={}
c=(a-b)% n
 
print("diff priv1-priv2",c)

for i in range(1,1000000):
    # making dict of largest private_key multiply by i
    w=a*i
    dict_priv[w]=i
     
print("start")

for i in range(1,10000):
    a=a+c
    #print(i,"a",a)
    if a in dict_priv : 
        print("found in dict_priv!")
        #print("a",a)
        #print("i",i)
        #print("www",dict_priv[a],b*dict_priv[a])
        count=i*c
        
        li=dict_priv[a]
         
        re_count=li-1
        res=count / re_count
        print("result=",res)