
    Tf                     f   d dl Z d dlZd dlZd dlZ	 d dlZn# e$ r d dlZY nw xY wd dlmZm	Z	m
Z
 d dlmZ ddlmZmZmZ ddlmZmZmZmZmZmZ ddlmZmZ ddlmZ ddlmZm Z   G d	 d
ej!                  Z"d Z#d Z$d Z%d Z&d Z'd Z(d Z)d Z*d Z+d Z,d Z-d Z.d Z/d Z0d Z1d Z2d Z3d Z4d Z5d Z6d Z7d  Z8d! Z9d" Z:d# Z;d$ Z< G d% d&ej!                  Z=d' Z>d( Z?d) Z@d* ZAd+ ZBd, ZCd- ZDd. ZEd/ ZFd0 ZGd1 ZHd2 ZId3 ZJd4 ZKd5 ZLd6 ZMd7 ZNd8 ZOd9 ZPd: ZQd; ZR G d< d=ej!                  ZSd> ZTd? ZU G d@ dAej!                  ZV G dB dCej!                  ZW eX            ZYdDe jZ        v rdEeYdF<   ndGeYdF<    e	di eY e
d           e
dH           e ej[        d e\ ej]                    dz
            I                    dJ                                                 Z^ e	di eY e
d           e
dE           e ej[        d e\ ej]                    dz
            I                    dK                                                 Z_ e	di eY e
d           e
dE           e ej[        d e\ ej]                              dz
  I                    dL                                                 Z`edMdNdOdPfedQdRdSdTfedUdVdWdXfedYdZd[d\fed]d^d_d`fedadbdOdcfedddedfdgfedhdidjdkfedldmdndofedpdqdrdsfedtdudvdwfedxdydzd{fed|d}d~dfgZaejb        c                    dea          d             ZddS )    N)givensettingsexample   )PointEdwardsINFINITY	CurveEdTw)generator_ed25519curve_ed25519generator_ed448curve_ed448
PrivateKey	PublicKey)generator_256	curve_256)MalformedPointError)a2b_hexcompat26_strc                       e Zd Zd ZdS )TestA2B_Hexc                     |                      t                    5  t          d           d d d            d S # 1 swxY w Y   d S )N	abcdefghi)assertRaises
ValueErrorr   selfs    B/var/www/html/env/lib/python3.11/site-packages/ecdsa/test_eddsa.pytest_invalid_inputzTestA2B_Hex.test_invalid_input   s    z** 	! 	!K   	! 	! 	! 	! 	! 	! 	! 	! 	! 	! 	! 	! 	! 	! 	! 	! 	! 	!s   8<<N)__name__
__module____qualname__r        r   r   r      s#        ! ! ! ! !r#   r   c                  *    t           t          k    sJ d S N)r   r   r"   r#   r   test_ed25519_curve_comparer&       s    I%%%%%%r#   c                  *    t           t          k    sJ d S r%   )r   r   r"   r#   r   test_ed25519_and_ed448_comparer(   $   s    -''''''r#   c                      t          t          j                    t          j                     d          } t          | k    sJ d S Nr   r	   r   par-   s    r   %test_ed25519_and_custom_curve_comparer/   (   s=    -/##mo&7&7%7;;AAr#   c                      t          t          j                    t          j                    d          } t          | k    sJ d S r*   r+   r.   s    r   +test_ed25519_and_almost_exact_curve_comparer1   .   s:    -/##]_%6%6::AAr#   c                      t          t          j                    t          j                    t          j                              } t          | k    sJ t          | k    rJ d S r%   )r	   r   r,   r-   dr.   s    r   "test_ed25519_and_same_curve_paramsr4   4   sS    -/##]_%6%68I8IJJAA"""#""r#   c                      t           } t          j        |                                 |                                           sJ d S r%   )r
   r   contains_pointxygs    r   test_ed25519_contains_pointr;   ;   s6    A'qssuu5555555r#   c                  4    t          j        dd          rJ d S r*   )r   r6   r"   r#   r   test_ed25519_contains_point_badr=   @   s!    +Aq1111111r#   c                      t           } |                                 }t          |t                    sJ t	          d          }t	          d          }t          t
          ||d||z            }||k    sJ | |k    sJ d S )NM24727413235106541002554574571675588834622768167397638456726423682521233608206M15549675580280190176352668710449542251549572066445060580507079593062643049417r   )r
   double
isinstancer   intr   )r-   zx2y2bs        r   test_ed25519_doublerH   D   s    A	

Aa&&&&&		
 
B 
	
 
B
 	]BArBw77A6666666666r#   c                      t           } | | z   }t          |t                    sJ t          j                    }||k    sJ d S r%   )r
   rB   r   rA   )r-   rD   rG   s      r   test_ed25519_add_as_doublerJ   Z   sE    A	AAa&&&&& ""A666666r#   c                  t    t          t          dddd          } |                                 }|t          u sJ d S Nr   r   r   r   rA   r   r-   rD   s     r   test_ed25519_double_infinityrO   f   s5    ]Aq!Q//A	

A======r#   c                  t    t          t          dddd          } |                                 }|t          u sJ d S Nr   r   rM   rN   s     r   *test_ed25519_double_badly_encoded_infinityrR   n   s5    ]Aq!Q//A	

A======r#   c                  L   t          j                    } t          j                    }t          j                    }t          t          | dz  |z  |dz  |z  d| |z  dz  |z            }t          t          | dz  |z  |dz  |z  d| |z  dz  |z            }||k    sJ ||k    rJ d S N      )r
   r7   r8   r   r,   r   )r7   r8   r,   r-   rG   s        r    test_ed25519_eq_with_different_zrW   w   s    AAA]AEAIq1uqy!QUQY]KKA]AEAIq1uqy!QUQY]KKA6666Q<r#   c                  *    t           t          k    sJ d S r%   r
   r   r"   r#   r    test_ed25519_eq_against_infinityrZ      s    ((((((r#   c                  P    t          t          dddd          } | t          k    sJ d S rL   r   r   r   r.   s    r   1test_ed25519_eq_encoded_infinity_against_infinityr]      s(    ]Aq!Q//A======r#   c                  P    t          t          dddd          } | t          k    sJ d S rQ   r\   r.   s    r   7test_ed25519_eq_bad_encode_of_infinity_against_infinityr_      s*     	]Aq!Q//A======r#   c                  *    t           t          k    sJ d S r%   )r
   r   r"   r#   r   )test_ed25519_eq_against_non_Edwards_pointra      s    ------r#   c            	          t           } t          t          |                                  |                                 d|                                  |                                 z            }| |k    sJ d S r*   r
   r   r   r7   r8   )r:   negs     r   %test_ed25519_eq_against_negated_pointre      sU    A
}qssuufacceeQ
G
GC888888r#   c                  v    t          t          dddd          } t          t          dddd          }| |k    sJ d S )Nr   rU   )r   r   )r-   rG   s     r   test_ed25519_eq_x_different_yrg      s=    ]Aq!Q//A]Aq!Q//A666666r#   c            	         t          t          t          j                    t          j                    dt          j                    t          j                    z            } | t          j                    z  t          k    sJ d S r*   )r   r   r
   r7   r8   orderr   r9   s    r   test_ed25519_mul_by_orderrj      sr    	 1 3 5 55	 	A  &(((H444444r#   c                  Z    t          t          dddd          } t          | z   }|| k    sJ d S r*   r\   )r-   r,   s     r   	test_raddrl      s1    ]Aq!Q//A1A666666r#   c                  Z   t          j                    } t          j                    }t          j                    }t          t          | dz  |z  |dz  |z  d| |z  dz  |z            }|                                | k    sJ |                                |k    sJ |                                 |                                | k    sJ |                                |k    sJ |                                 |                                | k    sJ |                                |k    sJ d S )N   )r
   r7   r8   r   r,   r   scale)r7   r8   r,   r-   s       r   +test_ed25519_test_normalisation_and_scalingrp      s    AAA]AFQJB
BA
QOOA3355A::::3355A::::GGIII3355A::::3355A::::GGIII3355A::::3355A::::::r#   c                      t           } | | z   | z   }t          d          }t          d          }t          t          ||d||z            }||k    sJ d S )NM46896733464454938657123544595386787789046198280132665686241321779790909858396L8324843778533443976490377120369201138301417226297555316741202210403726505172r   )r
   rC   r   r   )r-   rD   x3y3rG   s        r   test_ed25519_add_three_timesrv      sj    A	A	A		
 
B 
	
 
B
 	]BArBw77A666666r#   c                      t          d          } t          d          }t          t          | |d| |z            }|t          z   }|t          u sJ d S NM42783823269122696939284341094755422415180979639778424813682678720006717057747M46316835694926478169428394003475163141307993866256225615783033603165251855960r   )rC   r   r   r
   r   x1y1inf_m_1infs       r   test_ed25519_add_to_infinityr      sc    		
 
B 
	
 
B ="b!R"W==G
%
%C(??????r#   c                  R    t           } | | z   | dz  k    sJ | | z   | z   | dz  k    sJ d S rT   r
   r9   s    r   $test_ed25519_add_and_mul_equivalencer      s?    Aq5AE>>>>q519Ar#   c                  8    t           } | t          z   }|| k    sJ d S r%   rY   r:   rD   s     r   !test_ed25519_add_literal_infinityr      s!    A	HA666666r#   c                  x    t          t          dddd          } t          }|| z   }||k    sJ | |z   }||k    sJ d S rL   )r   r   r
   )r   r:   rD   s      r   test_ed25519_add_infinityr     sL    
}aAq
1
1CA	CA6666aA666666r#   c                       e Zd Zd Zd ZdS )TestEd25519c                     |                      t                    5 }t          t          z    d d d            n# 1 swxY w Y   |                     dt          |j                             d S Nzdifferent curve)r   r   r
   r   assertInstr	exceptionr   es     r   test_add_wrong_curvesz!TestEd25519.test_add_wrong_curves  s    z** 	0a//	0 	0 	0 	0 	0 	0 	0 	0 	0 	0 	0 	0 	0 	0 	0 	'Q[)9)9:::::   7;;c                     |                      t                    5 }t          t          z    d d d            n# 1 swxY w Y   |                     dt          |j                             d S r   )r   r   r
   r   r   r   r   r   s     r   test_add_wrong_point_typez%TestEd25519.test_add_wrong_point_type  s    z** 	.a--	. 	. 	. 	. 	. 	. 	. 	. 	. 	. 	. 	. 	. 	. 	. 	'Q[)9)9:::::r   N)r   r    r!   r   r   r"   r#   r   r   r     s2        ; ; ;; ; ; ; ;r#   r   c                      t          d          } t          d          }t          t          | |d| |z            }t          t          d|          }|                                |k    sJ d S )Nry   rz   r   s    00000000000000000000000000000000)public_point)rC   r   r   r   r
   r   )r|   r}   r,   pks       r   test_generate_with_pointr     s}    		
 
B 
	
 
B 	]BArBw77A	$ia	@	@	@B??!!!!!!r#   c                      t          d          } t          d          }t          t          | |d| |z            }t          t          j                    dz
  z  |k    sJ d S rx   )rC   r   r   r
   ri   )r|   r}   r~   s      r   test_ed25519_mul_to_order_min_1r   ,  sr    		
 
B 
	
 
B ="b!R"W==G 1 7 9 9A =>'IIIIIIr#   c                  R    t           t          j                    z  t          k    sJ d S r%   )r
   ri   r   r"   r#   r   test_ed25519_mul_to_infinityr   :  s(    06888HDDDDDDr#   c                  T    t           } | |                                 dz   z  | k    sJ d S r*   )r
   ri   r9   s    r   #test_ed25519_mul_to_infinity_plus_1r   >  s/    A		A!######r#   c                  D    t           } | dz  }| dz  | dz  z   }||k    sJ d S )N   @   r   r:   r-   rG   s      r   test_ed25519_mul_and_addr   C  s2    A	CA	BRA666666r#   c                  D    t           } | dz  }| dz  | dz  z   }||k    sJ d S )N{   x   rV   r   r   s      r   test_ed25519_mul_and_add_2r   K  s2    A	CA	C!a%A666666r#   c                  Z    t          t          dddd          } | dz  }|t          k    sJ d S )Nr   r   rn   r\   )r   rD   s     r   test_ed25519_mul_infinityr   T  s1    
}aAq
1
1CbA======r#   c                  4    t           dz  } | t          k    sJ d S )Nr   rY   rD   s    r   test_ed25519_mul_by_zeror   \  s    AA======r#   c                  4    t           dz  } | t           k    sJ d S r*   r   r   s    r   test_ed25519_mul_by_oner   b  s$    AA!!!!!!!r#   c            	          t           } t          t          |                                 |                                 d|                                 |                                 z            }|dz  }|| dz  k    sJ d S )Nr   rn   rc   )r:   r-   rD   s      r   test_ed25519_mul_custom_pointr   h  s`     	A]ACCEE13355!QSSUUQSSUU]CCA	BAB;;;;;;r#   c                  l    t           } t          j        t          j        |                     | k    sJ d S r%   )r
   pickleloadsdumpsr9   s    r   test_ed25519_pickler   t  s0    A<Q((A------r#   c                  *    t           t          k    sJ d S r%   )r
   r   r"   r#   r   %test_ed448_eq_against_different_curver   y  s    //////r#   c                      t           } |                                 }t          |t                    sJ t	          d          }t	          d          }t          t
          ||d||z            }||k    sJ | |k    sJ d S )Nڇ484559149530404593699549205258669689569094240458212040187660132787056912146709081364401144455726350866276831544947397859048262938744149ڇ494088759867433727674302672526735089350544552303727723746126484473087719117037293890093462157703888342865036477787453078312060500281069r   )r   rA   rB   r   rC   r   )r:   rD   rE   rF   rG   s        r   test_ed448_doubler   }  s    A	

Aa&&&&&		
 
B
 
	
 
B 	["b!R"W55A6666666666r#   c                  V    t           } | | z   }|                                 }||k    sJ d S r%   r   rA   r:   rD   rG   s      r   test_ed448_add_as_doubler     s.    A	AA	

A666666r#   c                  V    t           } | dz  }|                                 }||k    sJ d S )NrU   r   r   s      r   test_ed448_mul_as_doubler     s.    A	AA	

A666666r#   c                      t          d          } t          d          }t          t          | |d| |z            }|t          z   }|t          u sJ d S )Nڇ502258683999682590361719473788108498106851719054753926035364737493661912699324739777367190829318592647510852386697191187378895383117729ڇ298819210078481492676017930443930673437544040154080242095928241372331506189835876003536878655418784733982303233503462500531545062832660r   )rC   r   r   r   r   r{   s       r   test_ed448_add_to_infinityr     sb    		
 
B
 
	
 
B
 ;B27;;G
O
#C(??????r#   c                  X    t           } | |                                 z  }|t          u sJ d S r%   )r   ri   r   )r:   r   s     r   test_ed448_mul_to_infinityr     s)    A
aggii-C(??????r#   c                  X    t           } | |                                 dz   z  }|| k    sJ d S r*   )r   ri   r   s     r   !test_ed448_mul_to_infinity_plus_1r     s.    A	QWWYY]A666666r#   c                  R    t           } | | z   | dz  k    sJ | | z   | z   | dz  k    sJ d S rT   )r   r9   s    r   "test_ed448_add_and_mul_equivalencer     s?    Aq5AE>>>>q519Ar#   c                  z    t           } |                                 }t          |          dk    sJ d}||k    sJ d S )N        Xfffffffffffffffffffffffffffffff)r
   to_byteslenr:   g_bytes	exp_bytess      r   test_ed25519_encoder     sO    AjjllGw<<2	L  ir#   c                  X    d} t          j        t          |           }|t          k    sJ d S )Nr   )r   
from_bytesr   r
   r   r-   s     r   test_ed25519_decoder     s9    	L  	y99A!!!!!!!r#   c                        e Zd Zd Zd Zd ZdS )TestEdwardsMalformedc                     d}|                      t                    5  t          j        t          |           d d d            d S # 1 swxY w Y   d S )Ns    xfffffffffffffffffffffffffffffff)r   r   r   r   r   r   r   s     r   test_invalid_pointz'TestEdwardsMalformed.test_invalid_point  s    P 	 233 	> 	>#M9===	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	>   AA	A	c                     d}|                      t                    5 }t          j        t          |           d d d            n# 1 swxY w Y   |                     dt          |j                             d S )Ns!   Xfffffffffffffffffffffffffffffffflength)r   r   r   r   r   r   r   r   )r   r   r   s      r   test_invalid_lengthz(TestEdwardsMalformed.test_invalid_length  s     	
 233 	>q#M9===	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	> 	hAK 0 011111s   AAAc                     d}|                      t                    5  t          j        t          |           d d d            d S # 1 swxY w Y   d S )Ns9   )r   r   r   r   r   r   s     r   test_ed448_invalidz'TestEdwardsMalformed.test_ed448_invalid  s     	233 	< 	<#K;;;	< 	< 	< 	< 	< 	< 	< 	< 	< 	< 	< 	< 	< 	< 	< 	< 	< 	<r   N)r   r    r!   r   r   r   r"   r#   r   r   r     sA        > > >	2 	2 	2< < < < <r#   r   c                  z    t           } |                                 }t          |          dk    sJ d}||k    sJ d S )N9   9   0[yN,9|: x@lssKbV7 v$nqF?i )r   r   r   r   s      r   test_ed448_encoder     sN    AjjllGw<<2	<  ir#   c                  X    d} t          j        t          |           }|t          k    sJ d S )Nr   )r   r   r   r   r   s     r   test_ed448_decoder   
  s7    	<  	Y77Ar#   c                   >    e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
d	S )
TestEdDSAEqualityc                     t          t          d          }t          t          d          }|                     ||           |                     ||k               d S N    )r   r
   assertEqualassertFalser   key1key2s      r   test_equal_public_pointsz*TestEdDSAEquality.test_equal_public_points  sV    *L99*L99t$$$&&&&&r#   c                     t          t          d          }t          t          d          }|                     ||           d S )Nr   s    r   r
   assertNotEqualr   s      r   test_unequal_public_pointsz,TestEdDSAEquality.test_unequal_public_points   s>    *L99*L99D$'''''r#   c                 `    t          t          d          }d}|                     ||           d S r   r   r   s      r   test_unequal_to_stringz(TestEdDSAEquality.test_unequal_to_string&  s3    *L99D$'''''r#   c                     t          t          d          }t          t          d          }|                     ||           |                     ||k               d S )Nr   s9    )r   r
   r   r   
assertTruer   s      r   test_unequal_publickey_curvesz/TestEdDSAEquality.test_unequal_publickey_curves,  sT    *L99*@AAD$'''%%%%%r#   c                     t          t          d          }t          t          d          }|                     ||           |                     ||k               d S r   )r   r
   r   r   r   s      r   test_equal_private_keysz)TestEdDSAEquality.test_equal_private_keys4  sV    +\::+\::t$$$&&&&&r#   c                     t          t          d          }t          t          d          }|                     ||           |                     ||k               d S )Nr   s    )r   r
   r   r   r   s      r   test_unequal_private_keysz+TestEdDSAEquality.test_unequal_private_keys<  sT    +\::+\::D$'''%%%%%r#   c                 `    t          t          d          }d}|                     ||           d S r   )r   r
   r   r   s      r   !test_unequal_privatekey_to_stringz3TestEdDSAEquality.test_unequal_privatekey_to_stringD  s3    +\::D$'''''r#   c                     t          t          d          }t          t          d          }|                     ||           d S )Nr   s9   )r   r
   r   r   r   s      r   test_unequal_privatekey_curvesz0TestEdDSAEquality.test_unequal_privatekey_curvesJ  s=    +\::/<88D$'''''r#   N)r   r    r!   r   r   r   r   r   r  r  r  r"   r#   r   r   r     s        ' ' '( ( (( ( (& & &' ' '& & &( ( (( ( ( ( (r#   r   c                   >    e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
d	S )
TestInvalidEdDSAInputsc                     |                      t                    5  t          t          d           d d d            d S # 1 swxY w Y   d S )Ns   )r   r   r   r
   r   s    r    test_wrong_length_of_private_keyz7TestInvalidEdDSAInputs.test_wrong_length_of_private_keyR  s    z** 	8 	8(,777	8 	8 	8 	8 	8 	8 	8 	8 	8 	8 	8 	8 	8 	8 	8 	8 	8 	8   >AAc                     |                      t                    5  t          t          d           d d d            d S # 1 swxY w Y   d S )Ns!   )r   r   r   r
   r   s    r   test_wrong_length_of_public_keyz6TestInvalidEdDSAInputs.test_wrong_length_of_public_keyV  s    z** 	7 	7'666	7 	7 	7 	7 	7 	7 	7 	7 	7 	7 	7 	7 	7 	7 	7 	7 	7 	7r  c           	      n   t           }d }t          |                                |                                |                                d|          }t
          }t          ||                                |                                d|                                |                                z            }| 	                    t                    5 }t          ||                                           d d d            n# 1 swxY w Y   |                     dt          |j                             d S )Nc                 j    t          j        dt          |                                                     S )Nsha512)hashlibnewr   digest)datas    r   _hashz?TestInvalidEdDSAInputs.test_wrong_cofactor_curve.<locals>._hash]  s(    ;xd););<<CCEEEr#   r   cofactor)r   r	   r,   r-   r3   r
   r   r7   r8   r   r   r   r   r   r   r   )r   ed_cr  curver:   fake_genr   s          r   test_wrong_cofactor_curvez0TestInvalidEdDSAInputs.test_wrong_cofactor_curveZ  s*   	F 	F 	F $&&((DFFHHdffhh5AAqssuuacceeQFFz** 	/ax...	/ 	/ 	/ 	/ 	/ 	/ 	/ 	/ 	/ 	/ 	/ 	/ 	/ 	/ 	/ 	j#ak"2"233333s   #DD	Dc                    t          t          d          }|                     t                    5 }|                    dd           d d d            n# 1 swxY w Y   |                     dt          |j                             d S )Nr   r#   sA   r   )r   r
   r   r   verifyr   r   r   r   keyr   s      r   test_invalid_signature_lengthz4TestInvalidEdDSAInputs.test_invalid_signature_lengthi  s    )<88z** 	*aJJsL)))	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	hAK 0 011111s   AAAc           	      H   t          t          d          }|j        }t          t          |                                |                                d|                                |                                z            }||_        |                     ||j                   d S )Nr   r   )r   r
   pointr   r   r7   r8   r   )r   r  r:   new_gs       r   test_changing_public_keyz/TestInvalidEdDSAInputs.test_changing_public_keyq  sw    )<88I]ACCEE13355!QSSUUQSSUU]KK	CI&&&&&r#   c                     t          t          d          }|                     t                    5 }t          |_        d d d            n# 1 swxY w Y   |                     dt          |j                             d S )Nr   coordinates)r   r
   r   r   r!  r   r   r   r  s      r   +test_changing_public_key_to_different_pointzBTestInvalidEdDSAInputs.test_changing_public_key_to_different_point|  s    )<88z** 	*a)CI	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	* 	mS%5%566666s   A		AAc                 Z   t          t          d          }t          d          }|                     |                    d|                     t          |          }d|d<   |                     t                    5  |                    d|           d d d            d S # 1 swxY w Y   d S )N    Z
Kd:rڦ#%hQ@   VC `r̀ntse"IU_;9pk[Y[$eQACzr#      r   r
   	bytearrayr   r  r   r   r   r  	sig_validsig_invalids       r   test_invalid_s_valuez+TestInvalidEdDSAInputs.test_invalid_s_value  s    P
 

 P
 
	 	

3	22333	**Bz** 	) 	)JJsK(((	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	)   <B  B$'B$c                 Z   t          t          d          }t          d          }|                     |                    d|                     t          |          }d|d<   |                     t                    5  |                    d|           d d d            d S # 1 swxY w Y   d S )Nr(  r)  r#      r   r,  r.  s       r   test_invalid_r_valuez+TestInvalidEdDSAInputs.test_invalid_r_value  s    P
 

 P
 
	 	

3	22333	**Az** 	) 	)JJsK(((	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	) 	)r2  N)r   r    r!   r
  r  r  r  r#  r&  r1  r5  r"   r#   r   r  r  Q  s        8 8 87 7 74 4 42 2 2	' 	' 	'7 7 7) ) )*) ) ) ) )r#   r  z--fastrU   max_examples
      )	min_value	max_valuec                     t           | z  }t          j        t          |                                          }||k    sJ d S r%   )r
   r   r   r   r   multipler-   rG   s      r   test_ed25519_encode_decoder>    s9    
 	H$Aqzz||<<A666666r#   c                     t           | z  }t          j        t          |                                          }||k    sJ d S r%   )r   r   r   r   r   r<  s      r   test_ed448_encode_decoder@    s9    
 	("AQZZ\\::A666666r#   c           	          t           }t          t          |                                |                                d|                                |                                z            }|| z  | |z  k    sJ dS )z7Compare multiplication with and without precomputation.r   Nrc   )r=  r:   r"  s      r   "test_ed25519_mul_precompute_vs_nafrB    sb     	AqssuuaGGEx<8e+++++++r#   @9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60@d75a980182b10ab7d54bfed3c964073a0ee172f3daa62325af021a68f707511a ڀe5564300c360ac729086e2cc806e828a84877f1eb8e5d974d873e065224901555fb8821590a33bacc61e39701cf9b46bd25bf5f0595bbe24655141438e7a100b@4ccd089b28ff96da9db6c346ec114e0f5b8a319f35aba624da8cf6ed4fb8a6fb@3d4017c3e843895a92b70aa74d1b7ebc9c982ccf2ec4968cc0cd55f12af4660c72ڀ92a009a9f0d4cab8720e820b5f642540a2b27b5416503f8fb3762223ebdb69da085ac1e43e15996e458f3613d0f11d8c387b2eaeb4302aeeb00d291612bb0c00@c5aa8df43f9f837bedb7442f31dcb7b166d38535076f094b85ce3a2e0b4458f7@fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025af82ڀ6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40a@f5e5767cf153319517630f226876b86c8160cc583bc013744c6bf255f5cc0ee5@278117fc144c72340f67d0f2316e8386ceffbf2b2428c9c51fef7c597f1d426e  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ڀ0aab4c900501b3e24d7cdf4663326a3a87df5e4843b2cbdb67cbf6e460fec350aa5371b1508f9f4528ecea23c436d94b5e8fcd4f681e30a6ac00a9704a188a03@833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42@ec172b93ad5e563bf4932c70e1245034c35467ef2efd4d64ebf819683467e2bfڀddaf35a193617abacc417349ae20413112e6fa4e89a97ea20a9eeee64b55d39a2192992a274fc1a836ba3c23a3feebbd454d4423643ce80e2a9ac94fa54ca49fڀdc2a4459e7369633a52b1bf277839a00201009a3efbf3ecb69bea2186c26b58909351fc9ac90b3ecfdfbc7c66431e0303dca179c138ac17ad9bef1177331a704r6c82a562cb808d10d632be89c8513ebf6c929f34ddfa8c9f63c9960ef6e348a3528c8a3fcc2f044e39a3fc5b94492f8f032e7549a20098f95br5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600rc4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274er43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a94800326b8f91727bd62897af15e41eb43c377efb9c610d48f2335cb0bd0087810f4352541b143c4b981b7e18f62de8ccdf633fc1bf037ab7cd779805e0dbcc0aae1cbcee1afb2e027df36bc04dcecbf154336c19f0af7e0a6472905e799f1953d2a0ff3348ab21aa4adafd1d234441cf807c03a00rcd23d24f714274e744343237b93290f511f6425f98e64459ff203e8985083ffdf60500553abc0e05cd02184bdb89c4ccd67e187951267eb328rdcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b006964470014000c3e544074ec63b0265e0c1f0a8888ce25e8d458a21130879b840a9089d999aaba039eaf3e3afa090a09d389dba82c4ff2ae8ac5cdfb7c55e94d5d961a29fe0109941e00b8dbdeea6d3b051068df7254c0cdc129cbe62db2dc957dbb47b51fd3f213fb8698f064774250a5028961c9bf8ffd973fe5d5c206492b140e00r258cdd4ada32ed9c9ff54e63756ae582fb8fab2ac721f2c8e676a72768513d939f63dddb55609133f29adf86ec9929dccb52c1c5fd2ff7e21br3ba16da0c6f2cc1f30187740756f5e798d6bc5fc015d7c63cc9510ee3fd44adc24d8e968b6e46e6f94d19b945361726bd75e149ef09817f58064a65f3cdedcdd66811e29157eeeab7c4e50fb799b418ee5e3197ff6bf15d43a14c34389b59dd1a7b1b85b4ae90438aca634bea45e3a2695f1270f07fdcdf7c62b8efeaf00b45c2c96ba457eb1a8bf075a3db28e5c24f6b923ed4ad747c3c9e03c7079efb87cb110d3a99861e72003cbae6d6b8b827e4e6c143064ff3c00r7ef4e84544236752fbb56b8f31a23a10e42814f5f55ca037cdcc11c64c9a3b2949c1bb60700314611732a6c2fea98eebc0266a11a93970100erb3da079b0aa493a5772029f0467baebee5a8112d9d3a22532361da294f7bb3815c5dc59e176b4d9f381ca0938e13c6c07b174be65dfa578e8064a65f3cdedcdd66811e2915e76a12066f55331b6c22acd5d5bfc5d71228fbda80ae8dec26bdd306743c5027cb4890810c162c027468675ecf645a83176c0d7323a2ccde2d80efe5a1268e8aca1d6fbc194d3f77c44986eb4ab4177919ad8bec33eb47bbb5fc6e28196fd1caf56b4e7e0ba5519234d047155ac727a1053100rd65df341ad13e008567688baedda8e9dcdc17dc024974ea5b4227b6530e339bff21f99e68ca6968f3cca6dfe0fb9f4fab4fa135d5542ea3f01rdf9705f58edbab802c7f8363cfe5560ab1c6132c20a9f1dd163483a26f8ac53a39d6808bf4a1dfbd261b099bb03b3fb50906cb28bd8a081f00ڀ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   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  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,private_key,public_key,message,signaturec                    t          |          }t          |          }t          |          }t          |          }t          | |          }t          | |          }|                                                                |                                k    sJ |                    |          }||k    sJ |                    ||          sJ d S r%   )r   r   r   
public_keysignr  )	generatorprivate_keyrw  message	signaturesig_keyver_keygen_sigs           r   test_vectorsr  Q  s    
 +&&K$$JgG	""IK00G	:..G**,,0B0B0D0DDDDDll7##Gi>>'9-------r#   r"   )esysr   r  pytest	unittest2unittestImportError
hypothesisr   r   r   hypothesis.strategies
strategiesstellipticcurver   r   r	   eddsar
   r   r   r   r   r   ecdsar   r   errorsr   _compatr   r   TestCaser   r&   r(   r/   r1   r4   r;   r=   rH   rJ   rO   rR   rW   rZ   r]   r_   ra   re   rg   rj   rl   rp   rv   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  dictHYP_SETTINGSargvintegersrC   ri   r>  r@  rB  TEST_VECTORSmarkparametrizer  r"   r#   r   <module>r     s   



           OOOOO / / / / / / / / / / " " " " " " < < < < < < < < < <                , + + + + + + + ' ' ' ' ' ' * * * * * * * *! ! ! ! !(# ! ! !& & &( ( (    $ $ $6 6 6
2 2 2  ,	 	 	    
 
 
) ) )  
  . . .    	5 	5 	5    *  &  "    	 	 	; ; ; ; ;(# ; ; ;" " " J J JE E E$ $ $
        " " "	 	 	. . .
0 0 0  .      &           " " "< < < < <8, < < <4
  
  
 
  
  
 7( 7( 7( 7( 7() 7( 7( 7(t[) [) [) [) [)X. [) [) [)| tvvsx#$L  #%L  
L{r{Q##.E.?.E.G.G!.K*L*LMMMNN  ON    
L{r{Q##.Co.C.E.E.I*J*JKKKLL  ML    
L{r{Q##.E.?.E.G.G*H*H1*LMMMNN, , ON   , 	MM
	+	 	MM	+	 	MM	+	 	MM?	)@	+IHV 	MM	+	+ 			 		, 			 		, 			 	!	, 			 	#	, 			 	%	, 				+	2 				+ 	5"J 			?	)@	URA	sl 8 . .	 . . .s    	##