Ë
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¬`i4B ã óº d dl Z d dlmZmZ d dlmZmZmZmZm Z m
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Z
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d dl m Z d dl mZ G d de« Z G d d e« Z e« Z G d
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d e« Z G d d e« Zy)é N)Ú bytes_to_longÚ long_to_bytes)Ú VoidPointerÚ null_pointerÚ SmartPointerÚc_size_tÚ c_uint8_ptrÚ c_ulonglong)ÚInteger)Ú getrandbitsc ó0 e Zd ZdZdZdZdZdZdZdZ dZ
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d Z y
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) ÚCurveIDé é é é é é é é é N) Ú__name__Ú
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__module__Ú __qualname__ÚP192ÚP224ÚP256ÚP384ÚP521ÚED25519ÚED448Ú
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CURVE25519ÚCURVE448© ó õj H:\项ç®\archive\æµè¯ç»\èæ¬\Change_password\venv_build\Lib\site-packages\Crypto/PublicKey/_point.pyr r s/ Ø DØ DØ DØ DØ DØGØ EØJØHr% r c óÌ e Zd Zi Z ej
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« Zg d¢Zg d¢Zg d¢Z g d¢Z
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g d¢Z ddgZ dd gZ g d
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¢Zg d ¢Zeez e z e
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z e z e z e z ez ez Zd Zd Zd Zd Zd Zy)Ú_Curves)Úp192z
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NIST P-192zP-192Ú
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prime192v1Ú secp192r1Únistp192)Úp224z
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NIST P-224zP-224Ú
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prime224v1Ú secp224r1Únistp224)Úp256z
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NIST P-256zP-256Ú
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prime256v1Ú secp256r1Únistp256)Úp384z
|
NIST P-384zP-384Ú
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prime384v1Ú secp384r1Únistp384)Úp521z
|
NIST P-521zP-521Ú
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prime521v1Ú secp521r1Únistp521Úed25519ÚEd25519Úed448ÚEd448)Ú
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curve25519Ú
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Curve25519ÚX25519)Úcurve448ÚCurve448ÚX448c ó || j v S ©N©Ú all_names)ÚselfÚitems r& Ú __contains__z_Curves.__contains__1 s Øt~~Ð%Ð%r% c ó | j S rH rI ©rK s r& Ú__dir__z_Curves.__dir__4 s Ø~~Ð r% c ó^ || j v rfddlm} |j « }t j
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|_ | j j t j | j |« « n«|| j v rfddlm} |j « }t j |_ | j j t j | j |« « n7|| j v rfddlm} |j « }t j |_ | j j t j | j |« « nÃ|| j" v rfddlm} |j% « }t j& |_ | j j t j | j" |« « nO|| j( v rfddlm} |j+ « }t j, |_ | j j t j | j( |« « nÛ|| j. v rfddlm} |j3 « } t j4 | _ | j j t j | j. | « « ng|| j6 v reddlm} |j9 « }
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« « nô|| j< v reddlm } | jA « } t jB | _ | j j t j | j< | « « n|| jD v reddlm } | jG « } t jH | _ | j j t j | jD | « « ntK d|z « | j | S )Nr )Ú _nist_ecc)Ú_edwards)Ú _montgomeryzUnsupported curve '%s')&Ú
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p192_namesÚ rR Ú
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p192_curver r ÚidÚcurvesÚupdateÚdictÚfromkeysÚ
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p224_namesÚ
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p224_curver Ú
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p256_namesÚ
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p256_curver Ú
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p384_namesÚ
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p384_curver Ú
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p521_namesÚ
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p521_curver Ú ed25519_namesrS Ú ed25519_curver Ú ed448_namesÚ ed448_curver! Úcurve25519_namesrT Úcurve25519_curver" Úcurve448_namesÚcurve448_curver# Ú
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ValueError)rK ÚnamerR r) r- r1 r5 r9 rS r= r? rT rA rD s r& Úloadz _Curves.load7 sÇ Ø 4??Ñ "Ý #Ø ×'Ñ'Ó)DÜ llDGØ KK× Ñ t}}¨T¯_©_¸dÓ CÖ DØ T__Ñ $Ý #Ø ×'Ñ'Ó)DÜ llDGØ KK× Ñ t}}¨T¯_©_¸dÓ CÖ DØ T__Ñ $Ý #Ø ×'Ñ'Ó)DÜ llDGØ KK× Ñ t}}¨T¯_©_¸dÓ CÖ DØ T__Ñ $Ý #Ø ×'Ñ'Ó)DÜ llDGØ KK× Ñ t}}¨T¯_©_¸dÓ CÖ DØ T__Ñ $Ý #Ø ×'Ñ'Ó)DÜ llDGØ KK× Ñ t}}¨T¯_©_¸dÓ CÖ DØ T×'Ñ'Ñ 'Ý "Ø ×,Ñ,Ó.GÜ GJØ KK× Ñ t}}¨T×-?Ñ-?ÀÓ IÖ JØ T×%Ñ%Ñ %Ý "Ø ×(Ñ(Ó*EÜ }}EHØ KK× Ñ t}}¨T×-=Ñ-=¸uÓ EÕ FØ T×*Ñ*Ñ *Ý %Ø$×5Ñ5Ó7JÜ #× .Ñ .JMØ KK× Ñ t}}¨T×-BÑ-BÀJÓ OÕ PØ T×(Ñ(Ñ (Ý %Ø"×1Ñ1Ó3HÜ!×*Ñ*HKØ KK× Ñ t}}¨T×-@Ñ-@À(Ó KÕ Lä Ð 5¸Ñ <Ó=Ð =Ø{{4Ñ Ð r% c óf | j 5 | j j |« }|ñ| j |« }|| j v s|| j
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v r t |j |« |_ n&t |j |j |« |_ |j t j t j fv |_ |j t j t j" fv |_ |j xs |j$ |_ d d d « |S # 1 sw Y S xY wrH )Ú curves_lockrY Úgetro ri rk Ú EccXPointÚGxÚGÚEccPointÚGyrX r r r! Ú
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is_edwardsr" r# Ú is_montgomeryÚis_weierstrass)rK rn Úcurves r& Ú __getitem__z_Curves.__getitem__i sÿ Ø × Ñ ñ AØKKOO DÓ)EØ}Ø $Ø4×0Ñ0Ñ0°D¸D×<OÑ<OÑ4OÜ '¨¯©°$Ó 7EGä & u§x¡x°·±¸4Ó @EGØ#(§8¡8´·±ÄÇ Á Ð/OÐ#OÔ Ø&+§h¡h´7×3EÑ3EÜ3:×3CÑ3Cð3Eð 'EÔ#à,1×,<Ñ,<ò -@Ø,1×,?Ñ,?ð(AÔ$÷ Að ÷ Að ús DD&Ä&D0c ób | j D ] }| | } | j j « S rH )rJ rY Úitems)rK rn Ú_s r& r~ z _Curves.itemsy s1 àNNò DØT
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Að à{{× Ñ Ó"Ð"r% N)r r r rY Ú threadingÚRLockrq rU r] r_ ra rc re rg ri rk rJ rM rP ro r| r~ r$ r% r& r( r( s« à FØ!)//Ó#Kò Jò Jò Jò Jò Jà Ð*MØGÐ$KÚ=ÐÚ5NàZÑ'¨*Ñ4°zÑAÀJÑNØñØ#ñ$Ø&6ñ7Ø9GñHIò&ò ò0!òdó #r% r( c ó¢ e Zd ZdZddZd Zd Zd Zd Zd Z d Z
|
d Z e d
|
« Z e d « Ze d « Zd Zd Zd Zd Zd Zd Zd Zd Zy)rv aÁ A class to model a point on an Elliptic Curve.
|
|
The class supports operators for:
|
|
* Adding two points: ``R = S + T``
|
* In-place addition: ``S += T``
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* Negating a point: ``R = -T``
|
* Comparing two points: ``if S == T: ...`` or ``if S != T: ...``
|
* Multiplying a point by a scalar: ``R = S*k``
|
* In-place multiplication by a scalar: ``T *= k``
|
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:ivar curve: The **canonical** name of the curve as defined in the `ECC table`_.
|
:vartype curve: string
|
|
:ivar x: The affine X-coordinate of the ECC point
|
:vartype x: integer
|
|
:ivar y: The affine Y-coordinate of the ECC point
|
:vartype y: integer
|
|
:ivar xy: The tuple with affine X- and Y- coordinates
|
c óÄ t | | _ | j j
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| _ | j j t j k( r t d« | j « }t ||« }t ||« }t |« |k7 st |« |k7 r t d« | j j j }| j j j }t! « | _ | j j$ j' « } || j" j- « t/ |« t/ |« t1 |« | « }
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r |
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dk( r t d« t d|
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z « t3 | j" j' « |« | _ y # t $ r t dt |« z « w xY w# t( $ r t* } Y ¾w xY w)NúUnknown curve name %sz)EccPoint cannot be created for Curve25519úIncorrect coordinate lengthé ú)The EC point does not belong to the curveú(Error %d while instantiating an EC point)Ú_curvesÚ_curveÚKeyErrorrm ÚstrÚ canonicalr{ rX r r" Ú size_in_bytesr ÚlenÚrawlibÚ new_pointÚ
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free_pointr Ú_pointÚcontextrr ÚAttributeErrorr Ú
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address_ofr r r ) rK ÚxÚyr{ Ú modulus_bytesÚxbÚybr Ú free_funcr Úresults r& Ú__init__zEccPoint.__init__ s ð CÜ! %.DKð [[×*Ñ*
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à ;;>>W× /Ñ /Ò /Ü Ð HÓIÐ Ià ×*Ñ*Ó, ä 1mÓ ,Ü 1mÓ ,Ü r7mÒ #¤s¨2£w°-Ò'?Ü Ð :Ó;Ð ;àKK×&Ñ&×0Ñ0 ØKK×&Ñ&×1Ñ1 ä!m ð #Økk×)Ñ)×-Ñ-Ó/Gñ 4;;×1Ñ1Ó3Ü& r?Ü& r?Ü# MÓ2Ø"ó $ñ Ø|Ü Ð!LÓMÐMÜ Ð GÈ&Ñ PÓQÐ Qô # 4§;¡;§?¡?Ó#4°iÓ@ øôG ò CÜ Ð 4´s¸5³zÑ AÓBÐ Bð Cûô( ò #Ü"Gð #ús F) Ã<$G Æ)!G
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Ç G Ç G c ó | j j j }| j j j }t « | _ || j
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j « |j
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j « « }|rt d|z « t | j
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j « |« | _ | S ©Nz"Error %d while cloning an EC point©
|
r r Úcloner r r r rr rm r ©rK Úpointr¢ r r s r& Úsetz EccPoint.setÄ s Ø ×"Ñ"×(Ñ(ØKK×&Ñ&×1Ñ1 ä!m Ùt{{×-Ñ-Ó/Ø ||×'Ñ'Ó)ó+ñ Ü Ð AÀFÑ JÓKÐ Kä" 4§;¡;§?¡?Ó#4°iÓ@ Ø r% c óÜ t |t « sy| j j j }d || j
|
j « |j
|
j « « k( S ©NFr )Ú
|
isinstancerv r r Úcmpr rr )rK r¤ Úcmp_funcs r& Ú__eq__zEccPoint.__eq__Ò sN Ü%¤Ô*Øà;;×%Ñ%×)Ñ)ØHT[[__Ó .°· ± ×0@Ñ0@Ó0BÓCÑCÐCr% c ó | |k( S rH r$ )rK r¤ s r& Ú__ne__zEccPoint.__ne__Ú s Ø5=Ð Ð r% c óÆ | j j j }| j « } ||j j « « }|rt d|z « |S )Nz$Error %d while inverting an EC point)r r ÚnegÚcopyr rr rm )rK Úneg_funcÚnpr s r& Ú__neg__zEccPoint.__neg__Ý sO Ø;;×%Ñ%×)Ñ)Ø YY[Ù"))--/Ó*Ù Ü Ð CÀfÑ LÓMÐ MØ r% c óR | j \ }}t ||| j « }|S ©z Return a copy of this point.)Úxyrv r{ )rK r r r² s r& r° z EccPoint.copyå s& àww1Ü aDJJÓ 'Ø r% c ój | j j r| j dk( S | j dk( S )ú,``True`` if this is the *point-at-infinity*.r )r r )r rx r r¶ rO s r& Úis_point_at_infinityz EccPoint.is_point_at_infinityë s. ð ;;× !Ò !Ø66Q;Ð à77fÑ$Ð $r% c ó | j j rt dd| j « S t dd| j « S )ú-Return the *point-at-infinity* for the curve.r r )r rx rv r{ rO s r& Úpoint_at_infinityzEccPoint.point_at_infinityó s7 ð ;;× !Ò !ÜAq $§*¡*Ó-Ð -äAq $§*¡*Ó-Ð -r% c ó | j d S )Nr ©r¶ rO s r& r z
|
EccPoint.xû ó àwwqzÐr% c ó | j d S )Nr r¾ rO s r& r z
|
EccPoint.yÿ r¿ r% c óz | j « }t |« }t |« }| j j j } |t |« t |« t |« | j j « « }|rt d|z « t t |« « t t |« « fS )Nz#Error %d while encoding an EC point) r Ú bytearrayr r Úget_xyr r r rr rm r r )rK r r r rà r s r& r¶ z EccPoint.xy s à ×*Ñ*Ó, Ü }Ó %Ü }Ó %Ø×#Ñ#×*Ñ*Ù BÜ# BÜ Ó/Ø Ó)ó+ñ Ü Ð BÀVÑ KÓLÐ Lä bÓ)Ó*¬G´MÀ"Ó4EÓ,FÐGÐGr% c ó. | j « dz dz S ©z"Size of each coordinate, in bytes.r r ©Ú size_in_bitsrO s r& r zEccPoint.size_in_bytes ó à×!Ñ!Ó# aÑ'¨AÑ-Ð-r% c ó. | j j S ©z!Size of each coordinate, in bits.©r Ú modulus_bitsrO s r& rÇ zEccPoint.size_in_bits ó à{{×'Ñ'Ð'r% c ó¦ | j j j } || j j « « }|rt d|z « | S )zuDouble this point (in-place operation).
|
|
Returns:
|
This same object (to enable chaining).
|
z#Error %d while doubling an EC point)r r Údoubler rr rm )rK Ú double_funcr s r& rÏ zEccPoint.double sG ð kk×(Ñ(×/Ñ/ Ù T[[__Ó .Ó/Ù Ü Ð BÀVÑ KÓLÐ LØ r% c óø | j j j } || j j « |j j « « }|r |dk( r t d« t d|z « | S )z Add a second point to this oneé z#EC points are not on the same curvez#Error %d while adding two EC points)r r Úaddr rr rm )rK r¤ Úadd_funcr s r& Ú__iadd__zEccPoint.__iadd__' si ð ;;×%Ñ%×)Ñ)Ù$++//Ó+¨U¯\©\×-=Ñ-=Ó-?Ó@Ù Ø|Ü Ð!FÓGÐGÜ Ð BÀVÑ KÓLÐ LØ r% c ó0 | j « }||z }|S )z8Return a new point, the addition of this one and another©r° )rK r¤ r² s r& Ú__add__zEccPoint.__add__2 s ð YY[Ø
|
e Ø r% c
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ó< | j j j }|dk r t d« t |« } || j
|
j « t |« t t |« « t t d« « « }|rt d|z « | S ©z Multiply this point by a scalarr z?Scalar multiplication is only defined for non-negative integersé@ z%Error %d during scalar multiplication© r r Úscalarrm r r rr r r r r
|
r ©rK rÝ Ú scalar_funcÚsbr s r& Ú__imul__zEccPoint.__imul__9 ó ð kk×(Ñ(×/Ñ/ Ø A:Ü Ð ^Ó_Ð _Ü 6Ó "Ù T[[__Ó .Ü (¨_Ü %¤c¨"£gÓ .Ü (¬°R« Ó 9ó;ñ Ü Ð DÀvÑ MÓNÐ NØ r% c ó0 | j « }||z }|S ©z2Return a new point, the scalar product of this oner× ©rK rÝ r² s r& Ú__mul__zEccPoint.__mul__H ó ð YY[Ø
|
f Ø r% c ó$ | j |« S rH ©ræ ©rK Ú left_hands r& Ú__rmul__zEccPoint.__rmul__O ó Ø||IÓ&Ð&r% N)r1 )r r r Ú__doc__r r¥ r« r r³ r° r¹ r¼ Úpropertyr r r¶ r rÇ rÏ rÕ rØ rá ræ rì r$ r% r& rv rv s ñó.'AòR ò Dò!òòò %ò.ð ñó ðð ñó ðð ñ Hó ð Hò .ò(ò ò òò ò ó'r% rv c ób e Zd ZdZd Zd Zd Zd Zd Zd Z e
|
d « Z d Z d
|
Z d Zd Zd Zy)rs a° A class to model a point on an Elliptic Curve,
|
where only the X-coordinate is exposed.
|
|
The class supports operators for:
|
|
* Multiplying a point by a scalar: ``R = S*k``
|
* In-place multiplication by a scalar: ``T *= k``
|
|
:ivar curve: The **canonical** name of the curve as defined in the `ECC table`_.
|
:vartype curve: string
|
|
:ivar x: The affine X-coordinate of the ECC point
|
:vartype x: integer
|
c óÌ t | | _ | j j
|
| _ | j j t j t j fvr t d« | j j j }| j j j }t « | _ | j j j# « }| j) « }|t& }n.t+ t- ||« « }t/ |« |k7 r t d« t « | _ || j j1 « |t3 |« |« }|dk( r t d« |rt d|z « t5 | j j# « |« | _ y # t $ r t dt |« z « w xY w# t$ $ r
|
t& }Y w xY w)Nr z5EccXPoint can only be created for Curve25519/Curve448r
r r r )r r r rm r r r{ rX r r" r# r r r r r r rr r r r r r r r r r ) rK r r{ r r r r r r s r& r zEccXPoint.__init__c s ð
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CÜ! %.DKð [[×*Ñ*
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à ;;>>¤'×"4Ñ"4´g×6FÑ6FÐ!GÑ GÜ Ð TÓUÐ UàKK×&Ñ&×0Ñ0 ØKK×&Ñ&×1Ñ1 ä!m ð #Økk×)Ñ)×-Ñ-Ó/Gð ×*Ñ*Ó, à 9Ü Bä ]¨1¨mÓ <Ó=BÜ2w-Ò'Ü Ð!>Ó?Ð?ä!m Ù4;;×1Ñ1Ó3Ø Ü# MÓ2Ø"ó$ð
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R<Ü Ð HÓIÐ IÙ Ü Ð GÈ&Ñ PÓQÐ Qô # 4§;¡;§?¡?Ó#4°iÓ@ øôM ò CÜ Ð 4´s¸5³zÑ AÓBÐ Bð Cûô ò #Ü"Gð #ús F, Â<$G Æ,!G ÇG#Ç"G#c ó | j j j }| j j j }t « | _ || j
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j « |j
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j « « }|rt d|z « t | j
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j « |« | _ | S r r¡ r£ s r& r¥ z EccXPoint.set s Ø ×"Ñ"×(Ñ(ØKK×&Ñ&×1Ñ1 ä!m Ùt{{×-Ñ-Ó/Ø ||×'Ñ'Ó)ó+á Ü Ð AÀFÑ JÓKÐ Kä" 4§;¡;§?¡?Ó#4°iÓ@ Ø r% c óè t |t « sy| j j j }| j
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j « }|j
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j « } |||« }d|k( S r§ )r¨ rs r r r© r rr )rK r¤ rª Úp1Úp2Úress r& r« zEccXPoint.__eq__ s[ Ü%¤Ô+Øà;;×%Ñ%×)Ñ)Ø [[__Ó Ø \\× Ñ Ó Ùr2Ó ØCxr% c ó | j }t || j « S # t $ r | j « cY S w xY wrµ )r rm r¼ rs r{ )rK r s r& r° zEccXPoint.copy© sC ð ,ØAô DJJÓ'Ð'øô ò ,Ø×)Ñ)Ó+Ò +ð ,ús $ ¤A ¿A c ó< | j }y# t $ r Y yw xY w)r¸ TF)r rm )rK r s r& r¹ z EccXPoint.is_point_at_infinity² s) ð ØAð øô ò Ùð ús c ó. t d| j « S )r» N)rs r{ rO s r& r¼ zEccXPoint.point_at_infinity» s ô tzzÓ*Ð*r% c óH | j « }t |« }| j j j } |t |« t |« | j j « « }|dk( r t d« |rt d|z « t t |« « S )Né z)No X coordinate for the point at infinityz'Error %d while getting X of an EC point) r r r r Úget_xr r r rr rm r r )rK r r rü r s r& r z EccXPoint.xÀ s à ×*Ñ*Ó, Ü }Ó %Ø ×"Ñ"×(Ñ(Ù{ 2Ü Ó.Ø{{Ó(ó*ð R<Ü Ð HÓIÐ IÙ Ü Ð FÈÑ OÓPÐ PÜ} RÓ(Ó)Ð)r% c ó. | j « dz dz S rÅ rÆ rO s r& r zEccXPoint.size_in_bytesÎ rÈ r% c ó. | j j S rÊ rË rO s r& rÇ zEccXPoint.size_in_bitsÒ rÍ r% c
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ó< | j j j }|dk r t d« t |« } || j
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j « t |« t t |« « t t d« « « }|rt d|z « | S rÚ rÜ rÞ s r& rá zEccXPoint.__imul__Ö râ r% c ó0 | j « }||z }|S rä r× rå s r& ræ zEccXPoint.__mul__å rç r% c ó$ | j |« S rH ré rê s r& rì zEccXPoint.__rmul__ì rí r% N)r r r rî r r¥ r« r° r¹ r¼ rï r r rÇ rá ræ rì r$ r% r& rs rs S sT ñ ò -Aò^ òò(òò+ð
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ñ *ó ð *ò.ò(ò ò ó'r% rs )r ÚCrypto.Util.numberr r ÚCrypto.Util._raw_apir r r r r r
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ÚCrypto.Math.Numbersr ÚCrypto.Random.randomr Úobjectr r( r rv rs r$ r% r& ú<module>r s` ðó ç ;÷/÷ /õ (Ý ,ô fô ôc#fô c#ñL )ôM'vô M'ô`Z'õ Z'r%
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