GIF89a=( õ' 7IAXKgNgYvYx\%wh…hŽth%ˆs%—x¨}9®Œ©€&©‰%¶†(¹–.¹5·œD¹&Çš)ÇŸ5ǘ;Í£*È¡&Õ²)ׯ7×µ<Ñ»4ï°3ø‘HÖ§KͯT÷¨Yÿšqÿ»qÿÔFØ !ù ' !ÿ NETSCAPE2.0 , =( þÀ“pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§gª«ªE¯°¨¬ª±²Œ¹º¹E¾­”´ÂB¶¯ §Åȸ»ÑD¾¿Á•ÄÅ®° ÝH¾ÒLÀÆDÙ«D¶BÝïðÀ¾DÑÑÔTÌÍíH òGö¨A RÎڐ |¥ ٭&ºìE8œ¹kGÔAÞpx­a¶­ã R2XB®åE8I€Õ6Xî:vT)äžþÀq¦è³¥ì仕F~%xñ  4#ZÔ‰O|-4Bs‘X:= QÉ œš lºÒyXJŠGȦ|s hÏíK–3l7·B|¥$'7Jީܪ‰‡àá”Dæn=Pƒ ¤Òëí‰`䌨ljóá¯Éüv>á–Á¼5 ½.69ûϸd«­ºÀûnlv©‹ªîf{¬ÜãPbŸ  l5‘Ž¯pß ´ ˜3aÅùäI«O’ý·‘áÞ‡˜¾Æ‚ÙÏiÇÿ‹Àƒ #öó)pâš Þ½ ‘Ý{ó)vmÞü%D~ 6f s}ŃƒDØW Eþ`‡þ À…L8xá†ç˜{)x`X/> Ì}mø‚–RØ‘*|`D=‚Ø_ ^ð5 !_…'aä“OÚ—7âcð`D”Cx`ÝÂ¥ä‹éY¹—F¼¤¥Š?¡Õ™ n@`} lď’ÄÉ@4>ñd œ à‘vÒxNÃ×™@žd=ˆgsžG±æ ´²æud &p8Qñ)ˆ«lXD©øÜéAžHìySun jª×k*D¤LH] †¦§C™Jä–´Xb~ʪwStŽ6K,°£qÁœ:9ت:¨þªl¨@¡`‚ûÚ ».Û¬¯t‹ÆSÉ[:°=Š‹„‘Nåû”Ìî{¿ÂA ‡Rà›ÀÙ6úë°Ÿð0Ä_ ½;ÃϱîÉì^ÇÛÇ#Ëë¼ôº!±Ä˜íUîÅÇ;0L1óÁµö«p% AÀºU̬ݵ¼á%霼€‡¯Á~`ÏG¯»À× ­²± =4ªnpð3¾¤³¯­ü¾¦îuÙuµÙ®|%2ÊIÿür¦#0·ÔJ``8È@S@5ê¢ ö×Þ^`8EÜ]ý.뜃Âç 7 ú ȉÞj œ½Dç zý¸iþœÑÙûÄë!ˆÞÀl§Ïw‹*DçI€nEX¯¬¼ &A¬Go¼QföõFç°¯;é¦÷îŽêJ°îúôF5¡ÌQ|îúöXªæ»TÁÏyñêï]ê² o óÎC=öõ›ÒÓPB@ D×½œä(>èCÂxŽ`±«Ÿ–JЀ»Û á¤±p+eE0`ëŽ`A Ú/NE€Ø†À9‚@¤à H½7”à‡%B‰`Àl*ƒó‘–‡8 2ñ%¸ —€:Ù1Á‰E¸àux%nP1ð!‘ðC)¾P81lÑɸF#ˆ€{´âé°ÈB„0>±û °b¡Š´±O‚3È–Ù()yRpbµ¨E.Z‘D8ÊH@% òŒx+%Ù˜Æcü »¸˜fõ¬b·d`Fê™8èXH"ÉÈ-±|1Ô6iI, 2““¬$+](A*jÐ QTÂo‰.ÛU슬Œã„Ž`¯SN¡–¶Äåyše¯ª’­¬‚´b¦Éož œ)åyâ@Ì®3 ÎtT̉°&Ø+žLÀf"Ø-|žçÔ>‡Ðv¦Ðžì\‚ Q1)Ž@Žh#aP72”ˆ™¨$‚ !ù " , =( …7IAXG]KgNgYvYxR"k\%w]'}hŽth%ˆg+ˆs%—r.—m3šx3˜x¨}9®€&©€+¨‡7§‰%¶†(¹–.¹œD¹&ǘ;Í•&ײ)×»4ïÌ6ò§KÍ þ@‘pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§g «¬ E ±± ¨­¶°ººE Á´”·®C¬²§Ç¶Œ»ÓDÃÕƷ¯Ê±H½ºM×ÁGÚ¬D¶BËÁ½î½DÓôTÏÛßîG»ôõC×CÌ l&âž:'òtU³6ɹ#·Ø)€'Ü.6±&ëÍÈ» K(8p0N?!æ2"ÛˆNIJX>R¼ÐO‚M '¡¨2¸*Ÿþ>#n↠å@‚<[:¡Iïf’ ¤TÚ˘CdbÜÙ“[«ŽEú5MBo¤×@€`@„€Êt W-3 ¶Ÿ¡BíêäjIÝ…Eò9[T…$íêﯧ„…•s»Óȳ¹€ÅÚdc®UUρ#±Ùïldj?´í¼²`\ŽÁðÞu|3'ÖŒ]ë6 ¶S#²‡˜FKLÈ *N E´‘áäŠ$˜›eÄYD„ºq«.è촁ƒs \-ÔjA 9²õ÷å- üúM[Âx(ís÷ì®x€|í¡Ù’p¦‚ ŽkÛTÇDpE@WÜ ²Ç]kŠ1¨ þ€·Yb ÓÁ‰l°*n0 ç™—žzBdОu¾7ĉBl€â‰-ºx~|UåU‰  h*Hœ|e"#"?vpÄiŠe6^ˆ„+qâŠm8 #VÇá ‘å–ÄV„œ|Šè•m"сœn|@›U¶ÆΞ—Špb¥G¨ED”€±Úê2FÌIç? >Éxå Œ± ¡¤„%‘žjŸ‘ꄯ<Ìaà9ijÐ2˜D¦È&›†Z`‚å]wþ¼Â:ç6àB¤7eFJ|õÒ§Õ,¨äàFÇ®cS·Ê¶+B°,‘Þ˜ºNûãØ>PADÌHD¹æž«ÄÀnÌ¥}­#Ë’ë QÀÉSÌÂÇ2ÌXÀ{æk²lQÁ2«ÊðÀ¯w|2Í h‹ÄÂG€,m¾¶ë3ÐÙ6-´ÅE¬L°ÆIij*K½ÀÇqï`DwVÍQXœÚÔpeœ±¬Ñ q˜§Tœ½µƒ°Œìu Â<¶aØ*At¯lmEØ ü ôÛN[P1ÔÛ¦­±$ÜÆ@`ùåDpy¶yXvCAyåB`ŽD¶ 0QwG#¯ æš[^Äþ $ÀÓÝǦ{„L™[±úKÄgÌ;ï£S~¹ìGX.ôgoT.»åˆ°ùŸûù¡?1zö¦Ÿž:ÅgÁ|ìL¹ „®£œŠ‚à0œ]PÁ^p F<"•ç?!,ñ‡N4—…PÄ Á„ö¨Û:Tè@hÀ‹%táÿ:ø-žI<`þ‹p I….)^ 40D#p@ƒj4–؀:²‰1Øâr˜¼F2oW¼#Z†;$Q q” ‘ ÂK¦ñNl#29 !’F@¥Bh·ᏀL!—XFóLH‘Kh¤.«hE&JòG¨¥<™WN!€ÑÙÚˆY„@†>Œž19J" 2,/ &.GXB%ÌRÈ9B6¹W]’î×ÔW¥’IÎ$ ñ‹ÓŒE8YÆ ¼³™ñA5“à®Q.aŸB€&Ø©³ JÁ—! ¦t)K%tœ-¦JF bòNMxLôþ)ÐR¸Ð™‘ èÝ6‘O!THÌ„HÛ ‰ !ù ) , =( …AXKgNgYvYxR"k\%wh…hŽh%ˆg+ˆs%—r.—x3˜x¨}9®€&©€+¨Œ,©‡7§‰%¶†(¹–.¹5·&Çš)ǘ;Í•&×£*Ȳ)ׯ7×»4ï°3øÌ6ò‘HÖ§KÍ»Hó¯T÷¨Yÿ»qÿÇhÿ þÀ”pH,È¤rÉl:ŸÐ¨tJ­Z¯Ø¬vËíz¿à°xL.›Ïè´zÍn»ßð¸|N¯Ûïø¼~Ïïûÿ€‚ƒ„…†‡ˆ‰Š‹ŒŽ‘’“”•–—˜™š›œžŸ ¡¢£¤¥¦§g ª« E$±²¨ª­ · °²½$E$ÂÕ««D· Í ¿¦Ç¶¸ÌŒ¾³CÃÅÆ E ééH½MÛÂGâªD­ çBêêϾD²ÒaÀà€Š1r­ðÓ¤ ÔožzU!L˜C'¾yW½UGtäÇïÙllê0×àÂuGþ)AÀs[þ·xì ÁxO%ƒûX2ó—  P£n›R/¡ÑšHše+êDm?# —‘Ç£6¡8íJ¡ŸâDiäªM¥Ö„ôj“¬¹£5oQ7°- <‡ *´lãÓŒ2r/a!l)dÈ A™ÈE¢ôÔ͆…ð ;Ö˜c ¡%ß‚’Ùˆâ¸b½—pe~C"BíëÚHïeF2§æŠ8qb t_`urŠeü wÅu3êæPv§h•"ß`íÍxçLĹÜÖ3á  ~Öº“®›¸ÏMDfJÙ °„ÛµáWõ%§œ‚à©–‚X Ó؁)@®Ñ›Eþ´wëuÅSxb8y\mÖzœ¥§ZbºE—ÂLªÌw!y(>¡™wú=Ç|ÅÝs¢d €CÁW)HÜcC$€L Ä7„r.á\{)@ð` @ äXÈ$PD” `šaG:§æˆOˆ72EÐamn]ù"ŒcÊxÑŒ° &dR8`g«iÙŸLR!¦P …d’ä¡“¦ðÎTƒ¦ià|À _ ¥ Qi#¦Šg›Æ ›noMµ ›V ã£)p ç£ÎW…š=Âeªk§†j„ ´®1ß²sÉxéW«jšl|0¯B0Û, \jÛ´›6±¬¶C ÛíWþï|ëÙ‹¸ñzĸV {ì;Ýñn¼òVˆm³I¼³.Ðã¤PN¥ ²µ¼„µCã+¹ÍByî£Ñ¾HŸ›ëê 7ìYÆFTk¨SaoaY$Dµœìï¿Ã29RÈkt Çïfñ ÇÒ:ÀÐSp¹3ÇI¨â¥DZÄ ü9Ïýögñ½­uÔ*3)O‘˜Ö[_hv ,àî×Et Ÿé¶BH€ Õ[ü±64M@ÔSÌM7dÐl5-ÄÙU܍´©zߌ3Ô€3ž„ „ ¶ÛPô½5×g› êÚ˜kN„Ý…0Îj4€Ìë°“#{þÕ3S2çKÜ'ợlø¼Ú2K{° {Û¶?žm𸧠ËI¼nEò='êüóºè^üæÃ_Û=°óž‚ì#Oý¿Í'¡½áo..ÏYìnüñCœO±Áa¿¢Kô½o,üÄËbö²çºíï{ËC Ú— "”Ï{ËK ÍÒw„õ±Oz dÕ¨à:$ ƒô—«v»] A#ð «€¿šéz)Rx׿ˆ¥‚d``èw-îyÏf×K!ð€þ­Ð|ìPľ„=Ì`ý(f” 'Pa ¥ÐBJa%Ðâf§„%Š¡}FàáÝ×6>ÉäŠG"éŽè=ø!oŠ°^FP¼Ø©Q„ÀCÙÁ`(Ž\ÄÝ® ©Â$<n@dÄ E#ììUÒI! ‚#lù‹`k¦ÐÇ'Rró’ZýNBÈMF Í[¤+‹ðɈ-áwj¨¥þ8¾rá ,VÂh„"|½œ=×G_¦Ñ™EØ 0i*%̲˜Æda0mV‚k¾)›;„&6 p>ÓjK “¦Ç# âDÂ:ûc?:R Ó¬fÞéI-Ì“•Ã<ä=™Ï7˜3œ¨˜c2ŒW ,ˆ”8(T™P‰F¡Jhç"‚ ; 403WebShell
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Current File : /opt/imunify360/venv/lib64/python3.11/site-packages/Crypto/Math//_IntegerNative.py
# ===================================================================
#
# Copyright (c) 2014, Legrandin <[email protected]>
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
#
# 1. Redistributions of source code must retain the above copyright
#    notice, this list of conditions and the following disclaimer.
# 2. Redistributions in binary form must reproduce the above copyright
#    notice, this list of conditions and the following disclaimer in
#    the documentation and/or other materials provided with the
#    distribution.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
# COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
# POSSIBILITY OF SUCH DAMAGE.
# ===================================================================

from ._IntegerBase import IntegerBase

from Crypto.Util.number import long_to_bytes, bytes_to_long, inverse, GCD


class IntegerNative(IntegerBase):
    """A class to model a natural integer (including zero)"""

    def __init__(self, value):
        if isinstance(value, float):
            raise ValueError("A floating point type is not a natural number")
        try:
            self._value = value._value
        except AttributeError:
            self._value = value

    # Conversions
    def __int__(self):
        return self._value

    def __str__(self):
        return str(int(self))

    def __repr__(self):
        return "Integer(%s)" % str(self)

    # Only Python 2.x
    def __hex__(self):
        return hex(self._value)

    # Only Python 3.x
    def __index__(self):
        return int(self._value)

    def to_bytes(self, block_size=0, byteorder='big'):
        if self._value < 0:
            raise ValueError("Conversion only valid for non-negative numbers")
        result = long_to_bytes(self._value, block_size)
        if len(result) > block_size > 0:
            raise ValueError("Value too large to encode")
        if byteorder == 'big':
            pass
        elif byteorder == 'little':
            result = bytearray(result)
            result.reverse()
            result = bytes(result)
        else:
            raise ValueError("Incorrect byteorder")
        return result

    @classmethod
    def from_bytes(cls, byte_string, byteorder='big'):
        if byteorder == 'big':
            pass
        elif byteorder == 'little':
            byte_string = bytearray(byte_string)
            byte_string.reverse()
        else:
            raise ValueError("Incorrect byteorder")
        return cls(bytes_to_long(byte_string))

    # Relations
    def __eq__(self, term):
        if term is None:
            return False
        return self._value == int(term)

    def __ne__(self, term):
        return not self.__eq__(term)

    def __lt__(self, term):
        return self._value < int(term)

    def __le__(self, term):
        return self.__lt__(term) or self.__eq__(term)

    def __gt__(self, term):
        return not self.__le__(term)

    def __ge__(self, term):
        return not self.__lt__(term)

    def __nonzero__(self):
        return self._value != 0
    __bool__ = __nonzero__

    def is_negative(self):
        return self._value < 0

    # Arithmetic operations
    def __add__(self, term):
        try:
            return self.__class__(self._value + int(term))
        except (ValueError, AttributeError, TypeError):
            return NotImplemented

    def __sub__(self, term):
        try:
            return self.__class__(self._value - int(term))
        except (ValueError, AttributeError, TypeError):
            return NotImplemented

    def __mul__(self, factor):
        try:
            return self.__class__(self._value * int(factor))
        except (ValueError, AttributeError, TypeError):
            return NotImplemented

    def __floordiv__(self, divisor):
        return self.__class__(self._value // int(divisor))

    def __mod__(self, divisor):
        divisor_value = int(divisor)
        if divisor_value < 0:
            raise ValueError("Modulus must be positive")
        return self.__class__(self._value % divisor_value)

    def inplace_pow(self, exponent, modulus=None):
        exp_value = int(exponent)
        if exp_value < 0:
            raise ValueError("Exponent must not be negative")

        if modulus is not None:
            mod_value = int(modulus)
            if mod_value < 0:
                raise ValueError("Modulus must be positive")
            if mod_value == 0:
                raise ZeroDivisionError("Modulus cannot be zero")
        else:
            mod_value = None
        self._value = pow(self._value, exp_value, mod_value)
        return self

    def __pow__(self, exponent, modulus=None):
        result = self.__class__(self)
        return result.inplace_pow(exponent, modulus)

    def __abs__(self):
        return abs(self._value)

    def sqrt(self, modulus=None):

        value = self._value
        if modulus is None:
            if value < 0:
                raise ValueError("Square root of negative value")
            # http://stackoverflow.com/questions/15390807/integer-square-root-in-python

            x = value
            y = (x + 1) // 2
            while y < x:
                x = y
                y = (x + value // x) // 2
            result = x
        else:
            if modulus <= 0:
                raise ValueError("Modulus must be positive")
            result = self._tonelli_shanks(self % modulus, modulus)

        return self.__class__(result)

    def __iadd__(self, term):
        self._value += int(term)
        return self

    def __isub__(self, term):
        self._value -= int(term)
        return self

    def __imul__(self, term):
        self._value *= int(term)
        return self

    def __imod__(self, term):
        modulus = int(term)
        if modulus == 0:
            raise ZeroDivisionError("Division by zero")
        if modulus < 0:
            raise ValueError("Modulus must be positive")
        self._value %= modulus
        return self

    # Boolean/bit operations
    def __and__(self, term):
        return self.__class__(self._value & int(term))

    def __or__(self, term):
        return self.__class__(self._value | int(term))

    def __rshift__(self, pos):
        try:
            return self.__class__(self._value >> int(pos))
        except OverflowError:
            if self._value >= 0:
                return 0
            else:
                return -1

    def __irshift__(self, pos):
        try:
            self._value >>= int(pos)
        except OverflowError:
            if self._value >= 0:
                return 0
            else:
                return -1
        return self

    def __lshift__(self, pos):
        try:
            return self.__class__(self._value << int(pos))
        except OverflowError:
            raise ValueError("Incorrect shift count")

    def __ilshift__(self, pos):
        try:
            self._value <<= int(pos)
        except OverflowError:
            raise ValueError("Incorrect shift count")
        return self

    def get_bit(self, n):
        if self._value < 0:
            raise ValueError("no bit representation for negative values")
        try:
            try:
                result = (self._value >> n._value) & 1
                if n._value < 0:
                    raise ValueError("negative bit count")
            except AttributeError:
                result = (self._value >> n) & 1
                if n < 0:
                    raise ValueError("negative bit count")
        except OverflowError:
            result = 0
        return result

    # Extra
    def is_odd(self):
        return (self._value & 1) == 1

    def is_even(self):
        return (self._value & 1) == 0

    def size_in_bits(self):

        if self._value < 0:
            raise ValueError("Conversion only valid for non-negative numbers")

        if self._value == 0:
            return 1

        return self._value.bit_length()

    def size_in_bytes(self):
        return (self.size_in_bits() - 1) // 8 + 1

    def is_perfect_square(self):
        if self._value < 0:
            return False
        if self._value in (0, 1):
            return True

        x = self._value // 2
        square_x = x ** 2

        while square_x > self._value:
            x = (square_x + self._value) // (2 * x)
            square_x = x ** 2

        return self._value == x ** 2

    def fail_if_divisible_by(self, small_prime):
        if (self._value % int(small_prime)) == 0:
            raise ValueError("Value is composite")

    def multiply_accumulate(self, a, b):
        self._value += int(a) * int(b)
        return self

    def set(self, source):
        self._value = int(source)

    def inplace_inverse(self, modulus):
        self._value = inverse(self._value, int(modulus))
        return self

    def inverse(self, modulus):
        result = self.__class__(self)
        result.inplace_inverse(modulus)
        return result

    def gcd(self, term):
        return self.__class__(GCD(abs(self._value), abs(int(term))))

    def lcm(self, term):
        term = int(term)
        if self._value == 0 or term == 0:
            return self.__class__(0)
        return self.__class__(abs((self._value * term) // self.gcd(term)._value))

    @staticmethod
    def jacobi_symbol(a, n):
        a = int(a)
        n = int(n)

        if n <= 0:
            raise ValueError("n must be a positive integer")

        if (n & 1) == 0:
            raise ValueError("n must be odd for the Jacobi symbol")

        # Step 1
        a = a % n
        # Step 2
        if a == 1 or n == 1:
            return 1
        # Step 3
        if a == 0:
            return 0
        # Step 4
        e = 0
        a1 = a
        while (a1 & 1) == 0:
            a1 >>= 1
            e += 1
        # Step 5
        if (e & 1) == 0:
            s = 1
        elif n % 8 in (1, 7):
            s = 1
        else:
            s = -1
        # Step 6
        if n % 4 == 3 and a1 % 4 == 3:
            s = -s
        # Step 7
        n1 = n % a1
        # Step 8
        return s * IntegerNative.jacobi_symbol(n1, a1)

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