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Transitional angular codex for palindrome signatures
# QOP-ANGULAR s24 (QOPAS24)
# Version: 1.1.283
# ○●○○○○○○ ○○○○○○●○
# ○○○○○○○○ ○○○○○○○○
# ○○○◒○○○○ ○○○○◒○○○
# ○○○○◒○○○ ○○○◒○○○○
# ○○○○○◒○○ ○○◒○○○○○
# ○○○○○○◒○ ○◒○○○○○○
# ○○○○○○○◑ ◐○○○○○○○
# ○○○○○○○● ○●●●●●●●
# ○○○○○○○◐ ◑○○○○○○○
# ○○○○○○○◐ ◑○○○○○○○
# ●●●●●●●○ ●○○○○○○○
# ○○○○○○○◑ ◐○○○○○○○
# ○○○○○○◒○ ○◒○○○○○○
# ○○○○○◒○○ ○○◒○○○○○
# ○○○○◒○○○ ○○○◒○○○○
# ○○○◒○○○○ ○○○○◒○○○
# ○○○○○○○○ ○○○○○○○○
# ○●○○○○○○ ○○○○○○●○
import re
import math
import random
# See test() function comments for proper use of this encoder.
__MNAV = [515,131,777,141,525,787,535,151,797,545,161,555,171,565,181,
575,191,707,585,717,595,727,737,101,747,111,757,505,767]
__MSYM = ['○','◓','◑','◒','◐','●','⇄','⇆','→','←','⇉','⇇','⍆',
'⍅','↔','↻','↺','⋉','⋊','⧔','⧕','⌲','⏀','⏅']
# ======================================================================================
def qop_angular(l: list) -> list:
rl = len(l)
qa = []
for t in l:
p = 0
if t < 11:
n = t+p-1
elif t > rl:
n = t+1
else:
n = t-1
# define the elapse surface begin c
c = (1-(math.tan(t+n))*math.pi/n)+1
x = [c]*t
r = len(x)
o = x
q = 1
k = c
while p < r:
t = r-p+1
if t+p/t <= r and (x[p] < r or x[p] == 1):
h = c-1
if h >= 1:
# pole cnd = 1-r◐⍆x◑ or a palindrome extract loop rate
# for a lattice mapping is searchable within t+p/t <= r
# consisting of upper angular ranges as set r elements
o[p] = math.floor(((k+h/p)+math.sqrt(x[p]))*r)
else:
q = x[p]+t-1
if x[p]+r/2 <= q:
# t is both post positions @p, aka framed
# .......q+? >= ((h*t/r)-x[p])-(t+x[p])
if x[p]+r <= h+t:
o[p] = 0
else:
# is an favorable semi-spherical node
if p+1 < r:
o[p] = (math.ceil(math.cos(x[p]+r))*2)/h
else:
o[p] = (math.ceil(math.cos(x[p]-r))*2)/h
k = o[p]
else:
# t isn't a regional cosine-r, aka renown
# this should always be greater c*c when
# palindrome sectionals wrap back to a r
# field if the previous else x[p] - r
# example: r◓⇉◑<t+p⋉t◑ where h+t+1
o[p] = math.ceil(((q+p)*math.sqrt(math.sin(x[p]))/t)+1)
else:
# manifold indice bound x for x, is the non-escape duality span
o[p] = f'MIB:{math.floor(x[p])}'
p+=1
qa.append(set(o))
n = t
return qa
# ======================================================================================
def qop_montage(l: list, qa: list, k: int):
# get the filtered pivot-range list for __MNAV node replacements
mrt = qop_get_mrate(l)
mrtI = [_.split(',') for _ in mrt]
mrtI = [int(_[0]) for _ in mrtI]
lr = len(l)
# get the palindromes from pList
srp = qop_get_plndrm(l, lr, 1)
slp = qop_get_plndrm(l, lr, 0)
spx = len(srp)
# get the authorized prenode-keys list @[?/h^t] - terminators
pnkL = qop_get_prenode_keys(l, 5, 2, 42)
# get a list of probable sub-prime-palindromes, these as major half-loops @[?/h^t]
rl = 10**(lr//2-1)
rr = 10**(lr//2)-1
pp = {int(str(x)+str(x)[-2::-1]) for x in (random.randint(rl,rr) for _ in range(k-1)) if (int(str(x)[-2::-1])%6 in {1,5}) and (int(str(x)+str(x)[-2::-1])**0.5%1 != 0)}
crp = 0
vCnt = -1
clp = len(slp)-1
eslRslt = None
esnRslt = None
sp = ['.', 0]
asan = None
etx = False
hls = []
sto = 1
lr = []
for vp in qa:
vCnt+=1
vp = list(vp)
for t in vp:
if isinstance(t, int):
if math.floor(math.sin((math.pi*t)/math.tan(t))-1) == -2:
# encoded shift /--> locality[-2]
eslRslt = qop_esl_qring(sto, l[vCnt], t, crp, srp, spx)
if len(eslRslt) > 0:
crp = eslRslt[0]
if len(eslRslt) > 1:
lr.append(eslRslt[1])
sto == -2
else:
# encoded anti-shift /--> non-locality[-1]
if not etx:
etx = 1
asan = qop_esn_etx_map(l)
esnRslt = qop_esn_qring(sto, l[vCnt], t, sp, clp, slp, asan, hls, spx)
if len(esnRslt) > 0:
clp = esnRslt[0]
if len(esnRslt) > 1:
if esnRslt[1] == '<' or esnRslt[1] == '>':
sp = [esnRslt[1], esnRslt[2], esnRslt[3]]
#lr.append(esnRslt[4])
elif esnRslt[1] == '.':
sp = ['.', esnRslt[2], esnRslt[3], esnRslt[4]]
hls = esnRslt[5]
if len(hls) == 1 and isinstance(hls[0], str):
lr.append(hls[0])
sp = ['.', 0]
hls = []
else:
sp = ['.', 0]
lr.append(esnRslt[1])
else:
# a esn __MNAV probable, not applied for this version
pass
sto = -1
else:
#print('reserved & secure calculation')
pass
qop_enc_info(l, ''.join(lr), srp, slp, spx)
# ======================================================================================
def qop_esn_qring(sto: int, s: int, t: int, sp: list, clp: int, slp: str, etx: str, hls: list, slpLen: int) -> list:
rtrn = None
ocVp = int(slp[math.floor((clp+s)%((slpLen/2)+1))])
if t in __MNAV:
# rm = max(min([[(int(math.tan((r*r)+m)), int(math.sqrt(math.pi*m*r))) for r in range(m, min(l)+m)] for m in l]))
return []
else:
esnR = qop_es_range("esn", s, t, clp, slpLen)
#print(f'ESN RANGE: {esnR}')
ri = esnR[0]
nwClp = esnR[1]
clp = esnR[2]
if nwClp <= slpLen-clp+1:
nwClp+=1
else:
# double-halves reverse to esl; or any xy√y-tan(y)+x√y+cos(x)+1 dec depth
nwClp = slpLen-clp-clp+1
if nwClp <= 0 or nwClp >= slpLen-1:
# is an etx opposed range conversion from @clp
rtrn = [clp+nwClp]
rli = (((nwClp+(clp*2))/2)/(clp*2))+nwClp
if rli <= len(etx)*2 and sto == -1:
clp = math.floor((clp+rli)%len(etx))
rtrn.append(qop_esn_etx_enc(etx[clp], sto, s, t, ri, rli, clp, nwClp, ocVp, slpLen))
else:
# @pList is of a rookie length or attempts to crack the above @rli
if sto == -2:
print('[[ ETX, STO=-2: ... ]]')
else:
print('[[ ETX, STO=-1: ... ]]')
else:
if ri == ocVp:
if s == clp:
raise Exception(f'QOPAS24-ERR-505: Non-locality encoding failed, qa-set timer position matches current set @clp position')
else:
rtrn = [clp+nwClp]
if s > clp:
rtrn.append('>')
if sp[0] == '.' or sp[0] == '<':
#print(f's({s}) is greater than clp({clp})')
rtrn.append(1)
rtrn.append(s)
else:
sp[1]+=1
rtrn.append(sp[1])
rtrn.append(s)
if sp[1] > 1:
if s == sp[2]:
# if this is happening later in the encoding process
# then will take much longer @ Solace-XN to decipher
#print(f's({s}) is greater than clp({clp}) and PAIRED')
pass
else:
raise Exception('QOPAS24-ERR-909: Illegal non-locality symmetry comparison')
else:
#print(f's({s}) is greater than clp({clp})')
pass
else:
rtrn.append('<')
if sp[0] == '.' or sp[0] == '>':
#print(f's({s}) is lesser than clp({clp})')
rtrn.append(1)
rtrn.append(s)
else:
sp[1]+=1
rtrn.append(sp[1])
rtrn.append(s)
if sp[1] > 1:
if s == sp[2]:
#print(f's({s}) is lesser than clp({clp}) and PAIRED')
pass
else:
raise Exception('QOPAS24-ERR-909: Illegal non-locality symmetry comparison')
else:
#print(f's({s}) is lesser than clp({clp})')
pass
else:
if len(sp) > 3:
if ri != sp[1] and ocVp != sp[3]:
hls = qop_esn_hls_bridge(1, ri, clp, nwClp, ocVp, hls, None)
else:
#print(f'■FRAME IN VIEW --> ri={ri}, clp={clp}, nwClp={nwClp}, ocVp={ocVp}')
hls = qop_esn_hls_bridge(2, ri, clp, nwClp, ocVp, hls, slpLen)
rtrn = [clp+nwClp, '.', ri, clp, ocVp, hls]
return rtrn
# ======================================================================================
def qop_esn_hls_bridge(mode: int, ri: int, clp: int, nwClp: int, ocVp: int, hls: list, slpLen: int) -> list:
if mode == 1:
hls.append([ri, clp, nwClp, ocVp])
return hls
elif mode == 2:
if len(hls) > 0:
hlr = []
hli = None
hll = None
for hsi in hls:
hli = hsi[1]
hll = hsi[2]
if hsi[0]+1 == hsi[2]:
if hsi[0]+hsi[2]+1 >= hsi[1]:
# has absolute phasing to current frame @ri < [9,9-1,etc]
hli = hli+ri+1
hll = hll+hsi[3]+1
else:
# is less continuous if next sim frame @ri[hsi[0]] > 0,
# simply @nwClp as extension of any tangent mapping but
# if __MNAV used with probable sub-primes to @nwClp NO
hli = hli+ri-1
if hsi[3] > 5:
if hsi[3] != 9:
hll = hll+hsi[1]-hsi[3]+1
else:
hll = hll+hsi[3]-1
else:
hll = hll+hli-hsi[3]+1
else:
raise Exception('QOPAS24-ERR-909: Illegal non-locality symmetry comparison')
if hli <= 1:
raise Exception('QOPAS24-ERR-909: Illegal non-locality symmetry comparison')
else:
if hli > hll:
hlr.append((hli+hll)%slpLen)
elif hli == hll:
hlr.append(math.floor((hli/2))%slpLen)
else:
hlr.append((hll-hli)%slpLen)
# not a lock however hlr must be deciphered LtoR and are p-index constant(s)
# these as total appended to enc vs the total non-locality anti-shifts close
# TODO: has no check if ending hls set is there and no ending frame in view
if len(hlr) < 2:
hlr.append(f'({ri},{ri+ocVp},{math.ceil(math.sqrt(clp+nwClp+slpLen)/nwClp)})')
hlr = str(hlr).replace("'", '').replace(' ', '')
if clp == ocVp:
return [f'|{__MSYM[17]}{__MSYM[0]}{__MSYM[8]}{hlr}']
else:
if nwClp >= ri+ocVp:
return [f'|{__MSYM[17]}{__MSYM[3]}{__MSYM[9]}{hlr}']
else:
return [f'|{__MSYM[17]}{__MSYM[1]}{__MSYM[8]}{hlr}']
else:
# TODO: a frame in view however empty hls bridge
pass
return []
# ======================================================================================
def qop_esn_etx_enc(etxS: str, sto: int, s: int, t: int, ri, rli, clp: int, nwClp: int, ocVp: int, slpLen: int) -> str:
if etxS == '|<':
if s+clp >= slpLen and clp < slpLen:
if t-s > clp:
return f'{__MSYM[14]}{nwClp}{__MSYM[5]}{__MSYM[13]}'
else:
if s+t >= slpLen:
return f'{__MSYM[14]}{nwClp}{__MSYM[5]}{__MSYM[8]}'
else:
return f'{__MSYM[14]}{nwClp}{__MSYM[5]}{__MSYM[12]}'
else:
return f'{__MSYM[19]}{nwClp}{__MSYM[0]}{__MSYM[10]}'
elif etxS == '>|':
if s+clp < slpLen and nwClp >= slpLen:
if s+t < nwClp:
return f'{__MSYM[14]}{nwClp}{__MSYM[3]}{__MSYM[16]}'
else:
if t-s >= slpLen and nwClp <= t:
return f'{__MSYM[14]}{nwClp}{__MSYM[3]}{__MSYM[10]}'
else:
return f'{__MSYM[14]}{nwClp}{__MSYM[3]}{__MSYM[11]}'
else:
if s >= t and nwClp < clp:
return f'{__MSYM[19]}{nwClp}{__MSYM[1]}{__MSYM[7]}{__MSYM[3]}{__MSYM[16]}'
else:
return f'{__MSYM[19]}{nwClp}{__MSYM[1]}{__MSYM[16]}{__MSYM[9]}'
else:
cvlR = [[(math.floor((math.sin(rli/(clp-nwClp+x-1)))), math.floor(math.tan(rli*(nwClp-y+1)))) for y in range(2)] for x in range(2)]
cvlR = [_ for r in cvlR for _ in r]
cvlR = [cvlR.count((1,1)), cvlR.count((-1,-1)), cvlR.count((1,-1)), cvlR.count((-1,1))]
cvlM = max(cvlR)
if sto == -1:
if etxS == ':<':
if cvlM == 2:
if cvlR[1] == 2 and cvlR[3] == 2:
return f'{qop_esn_etx_rm_clp("rl", ri, nwClp, clp)}'
else:
if math.floor(slpLen/2)-1 >= ri:
return f'~□{__MSYM[16]}{__MSYM[9]}{ri-ocVp}{__MSYM[9]}{ri}'
else:
return f'~□{__MSYM[15]}{__MSYM[9]}{ri+ocVp}{__MSYM[9]}{ri}'
else:
if math.ceil(rli) < -99:
raise Exception(f'RLI range has exceeded max limit, cannot apply proper non-locality sets @ "{slp}"')
else:
if (rli-(math.floor(((slpLen/2)-(rli*clp))-rli)/math.ceil(rli)))-10 > rli+10:
if rli > -75:
return f'~{__MSYM[12]}{__MSYM[6]}{math.ceil(rli)}{__MSYM[3]}{__MSYM[16]}'
else:
return f'~{__MSYM[12]}{__MSYM[6]}{math.ceil(rli)}{__MSYM[1]}{__MSYM[16]}'
else:
# an intact gap @clp, is quasi-compatible with mid-rli lengths LtoR
return f'~{__MSYM[13]}{__MSYM[7]}{math.ceil(rli)}{__MSYM[0]}{__MSYM[15]}'
else:
if cvlM == 2:
if cvlR[1] == 2 and cvlR[3] == 2:
return f'{qop_esn_etx_rm_clp("lr", ri, nwClp, clp)}'
else:
if math.floor(slpLen/2)-1 <= ri:
return f'~□{__MSYM[15]}{__MSYM[8]}{ri-ocVp}{__MSYM[8]}{ri}'
else:
return f'~□{__MSYM[16]}{__MSYM[8]}{ri+ocVp}{__MSYM[8]}{ri}'
else:
if math.ceil(rli) < -99:
raise Exception(f'RLI range has exceeded max limit, cannot apply proper non-locality sets @ "{slp}"')
else:
if (rli-(math.floor(((slpLen/2)-(rli*clp))-rli)/math.ceil(rli)))-10 > rli+10:
if rli > -75:
return f'~{__MSYM[13]}{__MSYM[7]}{math.ceil(rli)}{__MSYM[1]}{__MSYM[15]}'
else:
return f'~{__MSYM[13]}{__MSYM[7]}{math.ceil(rli)}{__MSYM[3]}{__MSYM[15]}'
else:
return f'~{__MSYM[12]}{__MSYM[6]}{math.ceil(rli)}{__MSYM[5]}{__MSYM[16]}'
else:
raise Exception('Cannot perform non-locality encodings, a valid balance between normal locality sets has failed')
# ======================================================================================
def qop_esn_etx_rm_clp(encP: str, ri: int, nwClp: int, clp: int) -> str:
rmGde = [clp+ri, clp+ri-nwClp, clp-ri, clp-ri+nwClp]
rmGde = [(math.floor(rmGde[r%len(rmGde)]+math.cos(ri+clp)), math.floor(rmGde[m%len(rmGde)]+clp-1)) for r in range(ri//2) for m in range(len(rmGde))]
rmGde = str(min(rmGde))
if encP == 'rl':
rmGde = f'~{__MSYM[23]}{rmGde.replace("-", __MSYM[9]).replace(",", __MSYM[16]).replace("(", "").replace(")", "").replace(" ", "")}'
else:
rmGde = f'~{__MSYM[23]}{rmGde.replace("-", __MSYM[8]).replace(",", __MSYM[15]).replace("(", "").replace(")", "").replace(" ", "")}'
return rmGde
# ======================================================================================
def qop_esn_etx_map(l: list) -> list:
if len(l) > 2:
rtrn = []
etxL = None
etxCm = None
etxM = len(l)
etxR = int(etxM/2)
for asan in range(1, etxM):
if asan+1 < etxM:
etxL = [l[asan-1], l[asan], l[asan+1]]
etxCm = {math.floor(math.atan(max(etxL[e:f])))-math.floor(math.cos(min(etxL[e:f]))) for e in range(3) for f in range(e+1, 4)}
if len(etxCm) > 1:
if asan >= etxR:
rtrn.append('|<')
else:
rtrn.append(':<')
else:
etxCm = list(etxCm)
if etxCm[0] == 1:
rtrn.append('>|')
else:
rtrn.append('>:')
else:
return rtrn
else:
raise Exception(f'Cannot assign non-locality encodings, @pList is of a insufficient length({len(l)})')
# ======================================================================================
def qop_esl_qring(sto: int, s: int, t: int, crp: int, srp: str, srpLen: int) -> list:
rtrn = []
if t in __MNAV:
# rm = max(min([[(int(math.tan((r*r)+m)), int(math.sqrt(math.pi*m*r))) for r in range(m, min(l)+m)] for m in l]))
pass
else:
eslR = qop_es_range('esl', s, t, crp, srpLen)
#print(f'ESL RANGE: {eslR}')
ri = eslR[0]
nwCrp = eslR[1]
crp = eslR[2]
# *stability for mnav-probables...yet set order is still in determinable
# here even if both crp & nwCrp match the previous ri outward range @qa
if sto == -2 and crp > 0:
crp-=1
else:
if sto == -1:
if crp+nwCrp > srpLen:
nwCrp-=1
else:
crp+=1
rtrn.append(crp+nwCrp)
if crp != nwCrp:
if srp[(crp-1)%srpLen] == srp[(nwCrp+1)%srpLen]:
# crp & nwCrp are toroidal
rtrn.append(qop_esl_toroidal_enc(s, t, ri, crp, nwCrp, srp, srpLen))
else:
# crp & nwCrp are non-toroidal
crp = int(srp[crp])
nwCrp = int(srp[nwCrp])
rtrn.append(qop_esl_nontoroidal_enc(s, t, crp, nwCrp, srpLen))
else:
# crp & nwCrp are singularity
rtrn.append(qop_esl_singularity_enc(s, t, ri, crp, nwCrp, srp, srpLen))
return rtrn
# ======================================================================================
def qop_esl_singularity_enc(s: int, t: int, ri: int, crp: int, nwCrp: int, srp: str, srpLen: int) -> str:
# crp & nwCrp same index @srp, get total remaining indices LtoR & RtoL
# of palindrome @srp, from those multiple determine the nearest limit
# range @ ~srp[crp+?] as a half-loop to be uniform if .../s repeats
# from the normal toroidal or non-toroidal method calls then used
# whereof the raise exception here should be extreme rare
if crp+1 == srpLen:
crpR = 0
elif crp == 0:
crpR = srpLen-1
else:
crpR = srpLen-crp-1
# ...genesis doesn't begin on verse zero :)
if crp < 1:
crp = srpLen-1
crpR = int(srpLen/2)+1
if crpR < 1:
crp = int(srpLen/2)-1
crpR = srpLen-1
# reset the esl indices range with the ri regress equation
crp = (crp*crpR)%srpLen
eslR = qop_es_range('esl', s, t, crp, srpLen)
#print(f'ESL RANGE: {eslR}')
ri = eslR[0]
nwCrp = eslR[1]
crp = eslR[2]
# do the same toroidal or non-toroidal local esl enc
if crp != nwCrp:
if srp[(crp-1)%srpLen] == srp[(nwCrp+1)%srpLen]:
return qop_esl_toroidal_enc(s, t, ri, crp, nwCrp, srp, srpLen)
else:
crp = int(srp[crp])
nwCrp = int(srp[nwCrp])
return qop_esl_nontoroidal_enc(s, t, crp, nwCrp, srpLen)
else:
raise Exception(f'Cannot perform double singularity calculations @ "{srp}"')
# ======================================================================================
def qop_esl_toroidal_enc(s: int, t: int, ri: int, crp: int, nwCrp: int, srp: str, srpLen: int) -> str:
# get directional bounds array for a toroidal match & set the esl-local encodings
zvn = math.sqrt(crp+nwCrp+srpLen)
ptr = [math.cos(zvn+int(n))*ri//2 for n in srp]
zvn = int(max(ptr)-min(ptr))
if (zvn >= srpLen and zvn+t > s) or zvn+1 >= crp+nwCrp-zvn:
if s >= t:
if t > int(srp[nwCrp]):
return f'{__MSYM[4]}{__MSYM[13]}{zvn}::'
else:
return f'{__MSYM[2]}{__MSYM[12]}{zvn}::'
else:
if s == t:
return f'{__MSYM[2]}{__MSYM[11]}{__MSYM[0]}{__MSYM[13]}{zvn}::'
else:
return f'{__MSYM[2]}{__MSYM[10]}{__MSYM[0]}{__MSYM[13]}{zvn}::'
elif zvn < 2:
return f'{__MSYM[5]}{__MSYM[20]}{zvn}::'
else:
if s > t and nwCrp-crp > 0:
return f'{__MSYM[4]}{__MSYM[7]}{__MSYM[2]}{__MSYM[18]}{zvn}::'
elif s < t and nwCrp+crp < zvn:
return f'{__MSYM[2]}{__MSYM[6]}{__MSYM[4]}{__MSYM[20]}{zvn}::'
else:
if max(ptr)*s <= s+t+1:
return f'{__MSYM[4]}{__MSYM[18]}{zvn}::'
else:
return f'{__MSYM[4]}{__MSYM[20]}{zvn}::'
# ======================================================================================
def qop_esl_nontoroidal_enc(s: int, t: int, crp: int, nwCrp: int, srpLen: int) -> str:
# do sqi-ring calculation & set the esl-local encodings
sqi = math.ceil((crp+s)%(crp+(math.sin(t*nwCrp)))+(nwCrp+s)%(nwCrp+(math.atan(t*crp))))
if sqi < 0:
if s+crp >= t+nwCrp+1:
return f'{__MSYM[5]}{__MSYM[11]}{__MSYM[0]}{__MYSM[20]}'
else:
return f'{__MSYM[5]}{__MSYM[13]}{__MSYM[0]}{__MSYM[18]}'
elif sqi == 0:
if t < s+nwCrp and crp+t+s < nwCrp+t+1:
return f'{__MSYM[8]}{__MSYM[0]}{__MSYM[13]}'
else:
return f'{__MSYM[9]}{__MSYM[0]}{__MSYM[12]}'
elif sqi == 1:
if crp+s <= nwCrp+1 and crp > nwCrp-1:
return f'{__MSYM[17]}{__MSYM[1]}{__MSYM[9]}'
elif nwCrp+t == nwCrp+s and crp < nwCrp:
return f'{__MSYM[17]}{__MSYM[3]}{__MSYM[8]}'
elif crp+t-1 >= nwCrp+t+1:
return f'{__MSYM[19]}{__MSYM[3]}{__MSYM[11]}'
else:
return f'{__MSYM[1]}{__MSYM[20]}{__MSYM[8]}'
elif sqi > nwCrp:
if crp+nwCrp-1 < s+t+nwCrp:
return f'{__MSYM[21]}{sqi}{__MSYM[3]}{__MSYM[16]}'
elif s+crp == t+nwCrp:
return f'{__MSYM[21]}{sqi}{__MSYM[1]}{__MSYM[15]}'
else:
return f'{__MSYM[21]}{sqi}{__MSYM[1]}{__MSYM[20]}'
elif sqi < nwCrp:
if crp+s+t >= crp+nwCrp+1:
return f'{__MSYM[21]}{sqi}{__MSYM[1]}{__MSYM[18]}'
else:
return f'{__MSYM[21]}{sqi}{__MSYM[3]}{__MSYM[6]}'
elif sqi == nwCrp:
if s+crp+1 > t+nwCrp-1 and nwCrp < crp:
return f'{__MSYM[22]}{sqi}{__MSYM[3]}{__MSYM[15]}'
elif s+t+nwCrp == crp+s+1 or nwCrp > crp+s+1:
return f'{__MSYM[10]}{sqi}{__MSYM[3]}{__MSYM[20]}'
else:
return f'{__MSYM[6]}{sqi}{__MSYM[1]}{__MSYM[18]}'
elif sqi >= srpLen:
return f'{__MSYM[14]}{sqi}{__MSYM[5]}{__MSYM[12]}'
# ======================================================================================
def qop_es_range(dsg: str, s: int, t: int, cpx: int, spx: int):
if dsg == 'esl':
# setting the next esl regress-index(++crp range) @srp
ri = math.floor(math.sqrt(((s+cpx)/s)*t))
return [ri, ri%spx, cpx%spx]
elif dsg == 'esn':
# setting the next esn regress-index(--clp range to s separation) @slp
ri = math.floor(math.sqrt((((spx+cpx+s)*t)/s)))
# @slp steps secondary @pList, qa calculations balanced to ri @ RtoL
if math.floor((ri/2)-1) >= math.floor(spx/2):
ri-=2
else:
ri-=1
return [ri, ri%spx, cpx%spx]
# ======================================================================================
def qop_get_mrate(l: list) -> list:
h = 1
c = 0
rtrn = []
for t in l:
# return set m-pivot distinctions from pList, from only 3-digit number(s)
# as bonded median values when __MNAV as index occurence n(c**t-1|c**t+1)
# sine(t+h+1) isn't an exact filtered range for all pi*h when more than 3
# for instance: ht◓⍆h○⍅y?-1 as a limited frequency rotation of y then h
# remains chaim regardless of the dual ⍆Iy outer half-loop in LtoR shift
n = math.ceil((t*((math.pi*h)-(h*math.cos(h-t)+(t*math.sin(t+h+1)))))-(t+h))
if n > 0:
if len(str(n)) == 3:
rtrn.append(f'{c},{n}')
h = t
c+=1
return rtrn
# ======================================================================================
def qop_get_plndrm(l: list, lr: int, i: int) -> str:
# returns the L~[R] or [R]~L palindrome number from pList
rtrn = [str(_)[i] for _ in l]
rtrn = ''.join(rtrn)
if i == 1:
return f'{rtrn[::-1]}{rtrn[1:lr]}'
else:
return f'{rtrn[:lr-1]}{rtrn[::-1]}'
# ======================================================================================
def qop_get_prenode_keys(l, r, k, t):
ecskR = None
ecskL = None
ecskS = None
ecskV = []
s = True
cnt = 1
while 1:
if s:
# <./---> p, sk, df, si
ecskR = [random.randint(3,9),random.randint(11,99),random.randint(11,99),random.randint(0,1)]
ecskL = qop_prenode_key_sim(l, r, k, ecskR[0], ecskR[1], ecskR[2], ecskR[3])
ecskS = [str(e) for e in ecskR]
s = -1
# <---/.> sk, df, si, p
ecskR = [str(random.randint(11,99)),str(random.randint(11,99)),str(random.randint(0,1)),str(random.randint(3,9))]
if qop_prenode_key_val(int(''.join(ecskR)), ecskL, l, r, k):
ecskV.append(f'{"".join(ecskS)}-{"".join(ecskR)}')
if len(ecskV) == t:
return ecskV
cnt+=1
if cnt > 999999:
raise Exception('Prenode key generator exceeded max-loop limit(999,999)')
# ======================================================================================
def qop_prenode_key_val(key, ee, l, r, k):
key = str(key)
sk = None
df = None
si = None
p = None
if len(key) == 6:
sk = int(f'{key[0]}{key[1]}')
df = int(f'{key[2]}{key[3]}')
si = int(f'{key[5]}')
p = int(f'{4}')
else:
raise Exception(f'Unauthorized prenode-key configuration')
s = 0
nl = []
for _ in range(r):
nl.append(l[s:s+k])
s+=k
dd = []
for i, n in enumerate(nl):
dn = [qop_prenode_key_dec(ev, i, ov, p, sk, df, si) for ev, ov in zip(ee[i*len(n):(i+1)*len(n)], n)]
dd.extend(dn)
ee = [math.ceil(math.cos(math.tan(_*_+_)+_-_/_)) for _ in ee]
dd = [math.ceil(math.sin(math.cos(_*_)/_-_+_+_)) for _ in dd]
nCntD = 0
oCntE = 0
nCntE = 0
oCntD = 0
for c in ee:
if c < 1: oCntE+=1
else: nCntE+=1
for c in dd:
if c < 1: oCntD+=1
else: nCntD+=1
if oCntD == oCntE and nCntE == nCntD:
return True
else:
return False
# ======================================================================================
def qop_prenode_key_dec(ev, i, on, p, sk, df, si):
p = ev%10
if si == 0:
return (ev/(math.sin(i*sk)+math.cos(on*df)))-p
else:
return (ev/(math.tan(i*sk+p)+math.cos((on+p)*df)))-p
# ======================================================================================
def qop_prenode_key_sim(l, r, k, p, sk, df, si):
e = []
n = []
s = 0
for _ in range(r):
n.append(l[s:s+k])
s+=k
for i, d in enumerate(n):
en = [qop_prenode_key_enc(v, i, p, sk, df, si) for v in d]
e.extend(en)
return e
# ======================================================================================
def qop_prenode_key_enc(n, i, p, sk, df, si):
if si == 0:
return (n+p)*(math.sin(i*sk)+math.cos(n*df))
else:
return (n+p)*(math.tan(i*sk+p)+math.cos((n+p)*df))
# ======================================================================================
def qop_enc_info(l: list, qop_enc: str, srp: str, slp: str, spx: int):
srch = None
ccnd = None
tst = None
nlt = None
print('\n\nQOP-s24 unsigned encoding:\n')
print(qop_enc)
print('\n\nStats:')
print(' _______________________________________________________________________')
print(f" {spx} palindromes' lengths")
srch = re.findall(r'9', srp)
print(f" {len(srch)} digit 9s in RtoL palindrome")
srch = re.findall(r'9', slp)
print(f" {len(srch)} digit 9s in LtoR palindrome")
print(f' {len(qop_enc)} raw encryption size')
print(' _______________________________________________________________________')
srch = re.findall(__MSYM[21], qop_enc)
print(f' {len(srch)} boundary node(s)')
srch = re.findall(r'\:\:', qop_enc)
tst = len(srch)
print(f' {tst} toroidal separation(s)')
srch = re.findall(__MSYM[20], qop_enc)
print(f' {len(srch)} RtoL closed half-loop lock(s)')
srch = re.findall(__MSYM[18], qop_enc)
print(f' {len(srch)} RtoL open half-loop lock(s)')
srch = re.findall(__MSYM[19], qop_enc)
print(f' {len(srch)} LtoR closed half-loop lock(s)')
srch = re.findall(__MSYM[17], qop_enc)
print(f' {len(srch)} LtoR open half-loop lock(s)')
srch = re.findall(r'\-', qop_enc)
nlt = len(srch)
print(f' {nlt} non-locality anti-shift(s)')
print(' _______________________________________________________________________')
srch = str(max(min([[(int(math.tan((r*r)+m)), int(math.sqrt(math.pi*m*r))) for r in range(m, min(l)+m)] for m in l])))
print(f' {srch.replace(" ","").replace("(","").replace(")","").replace(",",":")} max/min hl-ratio qop limits')
srch = [[(int(math.sqrt(max(l)*math.atan(x+y))), int(math.sqrt(min(l)*y-x))) for x in range(y)] for y in l]
print(f' {str(max(max(srch))).replace(" ","").replace("(","").replace(")","").replace(",",":")} max qa-ratio node collapse')
srch = [math.sqrt(x*max(l)+(x+min(l))) for x in l]
print(f' {max(srch)} max corner arch')
srch = [x-(math.tan((x+min(l))*math.cos(x))) for x in l]
print(f' {min(srch)} min inverted s/t')
print(' _______________________________________________________________________')
srch = 'No'
if qop_enc.find('□') > -1: srch = 'Yes'
print(f' Has 2D non-locality constant(s): {srch}')
srch = 'No'
if qop_enc.find(__MSYM[23]) > -1: srch = 'Yes'
print(f' Has 4D non-locality constant(s): {srch}')
srch = 'No'
if qop_enc.find(__MSYM[15]) > -1: srch = 'Yes'
print(f' Has clockwise rotational ciphers: {srch}')
srch = 'No'
if qop_enc.find(__MSYM[16]) > -1: srch = 'Yes'
print(f' Has counter-clockwise rotational ciphers: {srch}')
if tst == nlt:
print(f' Encoded sequence stability: invalid, total toroidals match non-locality')
if tst > nlt:
ccnd = tst-nlt
if ccnd < 15:
print(f' Encoded sequence stability: valid, toroidals > non-locality: diff={ccnd}')
else:
print(f' Encoded sequence stability: invalid, toroidals > non-locality: diff={ccnd}')
if tst < nlt:
ccnd = nlt-tst
if ccnd < 15:
print(f' Encoded sequence stability: valid, non-locality > toroidals: diff={ccnd}')
else:
print(f' Encoded sequence stability: invalid, non-locality > toroidals: diff={ccnd}')
if ccnd != None:
if ccnd < 4:
print(f' Encoded sequence quality: very accurate')
elif ccnd > 3 and ccnd < 8:
print(f' Encoded sequence quality: accurate')
elif ccnd > 7 and ccnd < 12:
print(f' Encoded sequence quality: normal')
else:
print(f' Encoded sequence quality: off')
else:
print(f' Encoded sequence quality: N/A')
# ======================================================================================
# ======================================================================================
def test():
# Occuring float returns in pList will be pivot control to any palindrome sectional
# ***** Division by zero error *****
# pList = [10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37]
# ***** No division by zero error *****
# pList = [37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10]
# ***** Does not encode well with many zeros or @pList's length being greater than 49. Avoiding any use of zeros is ideal. *****
# ***** QOP-s24 is a versatile rotational/anti-rotational half-loops mirroring(menorah) palindrome encoder, @pList list will be those, RtoL & LtoR *****
pList = [55,23,99,86,35,98,23,12,11,45,12,99,32,99,17,93,45,18,99,14,76,99,11,73,65,98,23,47,45,76,13,24,18,72,33,19,55,42,49,28,39,24,82,95,45,71,63,55,11]
qop_montage(pList, qop_angular(pList), len(pList)*256)
test()
# ======================================================================================
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