Funny Fractal Encryption in Python, v:0.0.0.0

# Chris M. Thomasson 8/24/2016
# Funny Fractal Encryption pre-alpha (0.0.0.0)



import math;
import random;
import hmac;


# Some Conversion Utilities
#____________________________________________________________
def ct_bytes_to_hex(origin, offset):
    hex = "";
    n = len(origin);
    t = "0123456789ABCDEF";

    for i in range(offset, n):
        c = ord(origin[i]);

        nibl = c & 0x0F;
        nibh = (c & 0xF0) >> 4;

        hex = hex + t[nibh];
        hex = hex + t[nibl];

        hex = hex + " ";

        if (not ((i + 1) % 16)): hex = hex + "\r\n";

    return hex;


def ct_hex_to_bytes(origin, offset):
    bytes = "";
    n = len(origin);
    t = "0123456789ABCDEF";

    i = offset + 1;
    while (i < n):

        nibh = 0;
        nibl = 0;

        try:
            nibh = t.index(origin[i - 1]);
            nibl = t.index(origin[i]);
        except ValueError:
            i = i + 1;
            continue;

        if (nibh > -1 and nibl > -1):
            c = nibh * 16 + nibl;
            bytes = bytes + chr(c);

        i = i + 2;

    return bytes;



# Some Math Utilities
#____________________________________________________________

# Cantor pair
def ct_cpair(n):
    return int(((n[0] + n[1]) * ((n[0] + n[1]) + 1)) / 2) + n[1];

def ct_cpairi(n):
    n0 = 8 * n + 1;
    x = int((math.sqrt(n0) - 1) / 2);
    y = n - int(((x + 1) * x) / 2);
    return (x - 1, y);


# Complex Absolute Value
def ct_cabs(z):
    return math.sqrt(z.real**2 + z.imag**2);


def ct_range_number(n):
    while (n > 10000000000):
        n /= 1723.13327;
    return n;


def ct_obtain_number_fwd(n):
    rn = math.modf(ct_range_number(math.fabs(n)));
    v0 = rn[0] * 10000000000;
    rn = math.modf(v0);
    v1 = rn[0] * 10000000000;
    v2 = int(math.fabs(math.floor(v1)));
    return v2;


def ct_ffe_gen_rand_axes(dims):
    d = dims[1] - dims[0];
    return (-random.random() * d, random.random() * d,
            -random.random() * d, random.random() * d);

def ct_ffe_axes_combine(a0, a1):
    return (-(math.fabs(a0[0] * a1[0] * 7.13263) % 3.0),
            (math.fabs(a0[1] * a1[1] * 7.13263) % 3.0),
            -(math.fabs(a0[2] * a1[2] * 7.13263) % 3.0),
            (math.fabs(a0[3] * a1[3] * 7.13263) % 3.0));

def ct_ffe_gen_rand_bytes(n):
    rtxt = "";
    for i in range(n):
        rtxt = rtxt + chr(random.randint(0, 255));
    return rtxt;



# Funny Fractal Encryption, low-level
#____________________________________________________________

# Forward Iterate
def ct_ffe_fwd_iterate(z, c, p, s, e, n):
    for i in range(n):
        if (z.real == 0 and z.imag == 0):
            z += (0.00000001+0.0000000013);
        f = i % 2;
        z = z**p[f] + c[f];
        z = z * s;
        d = ct_cabs(z);
        if (d > e):
            return (z, i);
    return (z, n);


def ct_ffe_cipher(a, c, p, s, e, n, ptxt, encrypt):
    ctxt = "";
    n = len(ptxt);
    dims = math.ceil(math.sqrt(n));
    pn = int(math.ceil(math.fabs(p[0])));

    xstep = (a[1] - a[0]) / dims;
    ystep = (a[3] - a[2]) / dims;

    for i in range(n):
        x = i % dims;
        y = int(i / dims);

        z = complex(a[0] + x * xstep, a[3] - y * ystep);

        fwd = ct_ffe_fwd_iterate(z, c, p, s, e, n);

        fwd_mod_0 = ct_obtain_number_fwd(fwd[0].real * (fwd[1] + 1));
        fwd_mod_1 = ct_obtain_number_fwd(fwd[0].imag * (fwd[1] + 1));
        fwd_mod = ct_cpair((fwd_mod_0, fwd_mod_1)) * ((fwd_mod_0 + fwd_mod_1) % 65536);

        cmod = fwd_mod % 256;
        pchr = ord(ptxt[i]);

        if (encrypt):
            cchr = (pchr + cmod) % 256;
        else:
            cchr = pchr - cmod;
            if (cchr < 0):
                cchr = int(math.fabs((pchr + 256) - cmod));

        ctxt = ctxt + chr(cchr);

    return ctxt;


# Random Encryption
#____________________________________________________________
def ct_rand_encrypt(ptxt):
    n = len(ptxt);
    ctxt = "";
    rtxt = ct_ffe_gen_rand_bytes(n);

    for i in range(n):
        pchr = ord(ptxt[i]);
        cmod = ord(rtxt[i]);

        cchr = (pchr + cmod) % 256;

        ctxt = ctxt + chr(cchr);

    return ctxt + rtxt;


def ct_rand_decrypt(ctxt):
    n = int(len(ctxt) / 2);

    ptxt = "";

    for i in range(n):
        pchr = ord(ctxt[i]);
        cmod = ord(ctxt[i + n]);

        cchr = pchr - cmod;
        if (cchr < 0):
            cchr = int(math.fabs((pchr + 256) - cmod));

        ptxt = ptxt + chr(cchr);

    return ptxt;



# Funny Fractal Encryption, high-level
#____________________________________________________________
def ct_ffe_encrypt(axes, adims, hmack, c, p, s, e, n, ptxt):
    ffe_raxes = ct_ffe_gen_rand_axes(adims);
    ffe_axes = ct_ffe_axes_combine(axes, ffe_raxes);

    rand_ctxt = ct_rand_encrypt(ptxt);
    ffe_ctxt = ct_ffe_cipher(ffe_axes, c, p, s, e, n, rand_ctxt, True);

    ffe_hmac = hmac.new(hmack.encode());
    for i in ffe_ctxt:
        ffe_hmac.update(str(i).encode());

    ffe_hmac_hex = ffe_hmac.hexdigest();

    return [ffe_raxes, ffe_hmac_hex, ffe_ctxt];


def ct_ffe_decrypt(axes, hmack, c, p, s, e, n, ctxt):
    ffe_hmac = hmac.new(hmack.encode());
    for i in ctxt[2]:
        ffe_hmac.update(str(i).encode());

    ffe_hmac_hex = ffe_hmac.hexdigest();

    if (not hmac.compare_digest(ctxt[1], ffe_hmac_hex)):
        print("\n\n************** HMAC VIOLATION ***************\n\n");
        return "Bob is 0xDEADBEEF!";

    ffe_axes = ct_ffe_axes_combine(axes, ctxt[0]);
    ffe_dtxt = ct_ffe_cipher(ffe_axes, c, p, s, e, n, ctxt[2], False);
    ptxt = ct_rand_decrypt(ffe_dtxt);

    return ptxt;




# The Main Program
#____________________________________________________________

print("Funny Fractal Encryption, pre-alpha 0.0.0.0");
print("by Chris M. Thomasson");
print("==========================================================\n\n");

# The Secret Key
axes = (-0.75, .09, -.5, .3);
adims = (-1.25, 1.25);
hmack = "hmac_secret_key";
c = ((-.75+.09j), (.0 + 1j));
p = (2.13, 3.14);
s = 1.0;
e = 2.0;
n = 103;


# The Plaintext
ptxt = "AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA";
#ptxt = "Hello there, welcome to Funny Fractal Encryption!\nBy: Chris M. Thomasson";

print("\nOriginal Plaintext, len:%s" % (len(ptxt)));
print("________________________________________");
print("%s" % (ptxt));
print("----------------------------------------");
print("%s" % (ct_bytes_to_hex(ptxt, 0)));


# Encryption
ctxt = ct_ffe_encrypt(axes, adims, hmack, c, p, s, e, n, ptxt);
print("\n\nCiphertext:");
print("________________________________________");
print("(%s, %s)\n(%s, %s)" % (ctxt[0][0], ctxt[0][1], ctxt[0][2], ctxt[0][3]));
print("----------------------------------------");
print("%s" % (ctxt[1]));
print("----------------------------------------");
print("%s" % (ct_bytes_to_hex(ctxt[2], 0)));


# Decryption
dtxt = ct_ffe_decrypt(axes, hmack, c, p, s, e, n, ctxt);
print("\nDecrypted Plaintext, len:%s" % (len(dtxt)));
print("________________________________________");
try:
    print("%s" % (dtxt));
except:
    print("<print error>");
print("----------------------------------------");
print("%s" % (ct_bytes_to_hex(dtxt, 0)));


if (ptxt != dtxt):
    print("Data Corrupted!");


#eof