§
    qŠtj¸ƒ  ã                   óf  — 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	d‚i eY¤Ž e
d¦  «         e
dH¦  «         e ej[        d e\ ej]        ¦   «         dz
  ¦  «        ¬I¦  «        ¦  «        dJ„ ¦   «         ¦   «         ¦   «         ¦   «         Z^ e	d‚i eY¤Ž e
d¦  «         e
dE¦  «         e ej[        d e\ ej]        ¦   «         dz
  ¦  «        ¬I¦  «        ¦  «        dK„ ¦   «         ¦   «         ¦   «         ¦   «         Z_ e	d‚i eY¤Ž 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                    d€ea¦  «        d�„ ¦   «         ZddS )ƒé    N)ÚgivenÚsettingsÚexampleé   )ÚPointEdwardsÚINFINITYÚ	CurveEdTw)Úgenerator_ed25519Úcurve_ed25519Úgenerator_ed448Úcurve_ed448Ú
PrivateKeyÚ	PublicKey)Úgenerator_256Ú	curve_256)ÚMalformedPointError)Úa2b_hexÚcompat26_strc                   ó   — e Zd Zd„ ZdS )ÚTestA2B_Hexc                 óŠ   — |                       t          ¦  «        5  t          d¦  «         d d d ¦  «         d S # 1 swxY w Y   d S )NÚ	abcdefghi)ÚassertRaisesÚ
ValueErrorr   ©Úselfs    úN/var/www/html/CA-Chatbot/venv/lib/python3.11/site-packages/ecdsa/test_eddsa.pyÚtest_invalid_inputzTestA2B_Hex.test_invalid_input   sˆ   € Ø×Ò�zÑ*Ô*ð 	!ð 	!Ý�KÑ Ô Ð ð	!ð 	!ð 	!ñ 	!ô 	!ð 	!ð 	!ð 	!ð 	!ð 	!ð 	!ð 	!øøøð 	!ð 	!ð 	!ð 	!ð 	!ð 	!s   ›8¸<¿<N)Ú__name__Ú
__module__Ú__qualname__r   © ó    r   r   r      s#   € € € € € ð!ð !ð !ð !ð !r#   r   c                  ó*   — t           t          k    sJ ‚d S ©N)r   r   r"   r#   r   Útest_ed25519_curve_comparer&       s   € Ý�IÒ%Ð%Ð%Ð%Ð%Ð%r#   c                  ó*   — t           t          k    sJ ‚d S r%   )r   r   r"   r#   r   Útest_ed25519_and_ed448_comparer(   $   s   € Ý�-Ò'Ð'Ð'Ð'Ð'Ð'r#   c                  óˆ   — t          t          j        ¦   «         t          j        ¦   «          d¦  «        } t          | k    sJ ‚d S ©Nr   ©r	   r   ÚpÚa©r-   s    r   Ú%test_ed25519_and_custom_curve_comparer/   (   s=   € Ý•-”/Ñ#Ô#¥m¤oÑ&7Ô&7Ð%7¸Ñ;Ô;€Aå˜AÒÐÐÐÐÐr#   c                  ó†   — t          t          j        ¦   «         t          j        ¦   «         d¦  «        } t          | k    sJ ‚d S r*   r+   r.   s    r   Ú+test_ed25519_and_almost_exact_curve_comparer1   .   s:   € Ý•-”/Ñ#Ô#¥]¤_Ñ%6Ô%6¸Ñ:Ô:€Aå˜AÒÐÐÐÐÐr#   c                  óÂ   — t          t          j        ¦   «         t          j        ¦   «         t          j        ¦   «         ¦  «        } t          | k    sJ ‚t          | k    rJ ‚d S r%   )r	   r   r,   r-   Údr.   s    r   Ú"test_ed25519_and_same_curve_paramsr4   4   sS   € Ý•-”/Ñ#Ô#¥]¤_Ñ%6Ô%6½¼Ñ8IÔ8IÑJÔJ€Aå˜AÒÐÐÐÝ Ò"Ð"Ð"Ð#Ð"Ð"r#   c                  óŠ   — t           } t          j        |                      ¦   «         |                      ¦   «         ¦  «        sJ ‚d S r%   )r
   r   Úcontains_pointÚxÚy©Úgs    r   Útest_ed25519_contains_pointr;   ;   s6   € Ý€AÝÔ'¨¯ª©¬¨q¯sªs©u¬uÑ5Ô5Ð5Ð5Ð5Ð5Ð5r#   c                  ó4   — t          j        dd¦  «        rJ ‚d S r*   )r   r6   r"   r#   r   Útest_ed25519_contains_point_badr=   @   s!   € ÝÔ+¨A¨qÑ1Ô1Ð1Ð1Ð1Ð1Ð1r#   c                  óü   — t           } |                      ¦   «         }t          |t          ¦  «        sJ ‚t	          d¦  «        }t	          d¦  «        }t          t
          ||d||z  ¦  «        }||k    sJ ‚| |k    sJ ‚d S )NÚM24727413235106541002554574571675588834622768167397638456726423682521233608206ÚM15549675580280190176352668710449542251549572066445060580507079593062643049417r   )r
   ÚdoubleÚ
isinstancer   Úintr   )r-   ÚzÚx2Úy2Úbs        r   Útest_ed25519_doublerH   D   s�   € Ý€Aà	�Š‰
Œ
€Aå�a�Ñ&Ô&Ð&Ð&Ð&å	ð	ñ
ô 
€Bõ 
ð	ñ
ô 
€Bõ
 	•] B¨¨A¨r°B©wÑ7Ô7€Aà�Š6ˆ6ˆ6ˆ6Ø�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  ó‚   — t           } | | z   }t          |t          ¦  «        sJ ‚t          j        ¦   «         }||k    sJ ‚d S r%   )r
   rB   r   rA   )r-   rD   rG   s      r   Útest_ed25519_add_as_doublerJ   Z   sE   € Ý€Aà	ˆA‰€Aå�a�Ñ&Ô&Ð&Ð&Ð&åÔ Ñ"Ô"€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  ót   — t          t          dddd¦  «        } |                      ¦   «         }|t          u sJ ‚d S ©Nr   r   ©r   r   rA   r   ©r-   rD   s     r   Útest_ed25519_double_infinityrO   f   s5   € Ý•] A q¨!¨QÑ/Ô/€Aà	�Š‰
Œ
€Aà•ˆ=ˆ=ˆ=ˆ=ˆ=ˆ=r#   c                  ót   — t          t          dddd¦  «        } |                      ¦   «         }|t          u sJ ‚d S ©Nr   r   rM   rN   s     r   Ú*test_ed25519_double_badly_encoded_infinityrR   n   s5   € å•] A q¨!¨QÑ/Ô/€Aà	�Š‰
Œ
€Aà•ˆ=ˆ=ˆ=ˆ=ˆ=ˆ=r#   c                  óL  — 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 ©Né   é   )r
   r7   r8   r   r,   r   )r7   r8   r,   r-   rG   s        r   Ú test_ed25519_eq_with_different_zrW   w   s«   € ÝÔÑÔ€AÝÔÑÔ€AÝŒÑÔ€Aå•] A¨¡E¨A¡I¨q°1©u°q©y¸!¸QÀ¹UÀQ¹YÈ¹]ÑKÔK€AÝ•] A¨¡E¨A¡I¨q°1©u°q©y¸!¸QÀ¹UÀQ¹YÈ¹]ÑKÔK€Aà�Š6ˆ6ˆ6ˆ6à�Q’��ˆ<��r#   c                  ó*   — t           t          k    sJ ‚d S r%   ©r
   r   r"   r#   r   Ú test_ed25519_eq_against_infinityrZ   „   s   € Ý¥Ò(Ð(Ð(Ð(Ð(Ð(r#   c                  óP   — t          t          dddd¦  «        } | t          k    sJ ‚d S rL   ©r   r   r   r.   s    r   Ú1test_ed25519_eq_encoded_infinity_against_infinityr]   ˆ   s(   € Ý•] A q¨!¨QÑ/Ô/€AØ•Š=ˆ=ˆ=ˆ=ˆ=ˆ=r#   c                  óP   — t          t          dddd¦  «        } | t          k    sJ ‚d S rQ   r\   r.   s    r   Ú7test_ed25519_eq_bad_encode_of_infinity_against_infinityr_   �   s*   € õ 	•] A q¨!¨QÑ/Ô/€AØ•Š=ˆ=ˆ=ˆ=ˆ=ˆ=r#   c                  ó*   — t           t          k    sJ ‚d S r%   )r
   r   r"   r#   r   Ú)test_ed25519_eq_against_non_Edwards_pointra   ”   s   € Ý¥Ò-Ð-Ð-Ð-Ð-Ð-r#   c            	      óî   — t           } t          t          |                      ¦   «          |                      ¦   «         d|                      ¦   «          |                      ¦   «         z  ¦  «        }| |k    sJ ‚d S r*   ©r
   r   r   r7   r8   )r:   Únegs     r   Ú%test_ed25519_eq_against_negated_pointre   ˜   sU   € Ý€AÝ
•} q§s¢s¡u¤u f¨a¯cªc©e¬e°Q¸¿º¹¼¸ÀÇÂÁÄ¹Ñ
GÔ
G€CØ�Š8ˆ8ˆ8ˆ8ˆ8ˆ8r#   c                  óv   — 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   Útest_ed25519_eq_x_different_yrg   ž   s=   € å•] A q¨!¨QÑ/Ô/€AÝ•] A q¨!¨QÑ/Ô/€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c            	      ó  — 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   Úorderr   r9   s    r   Útest_ed25519_mul_by_orderrj   ¦   sr   € ÝÝÝÔÑÔÝÔÑÔØ	ÝÔÑÔÕ 1Ô 3Ñ 5Ô 5Ñ5ñ	ô 	€Að Õ Ô&Ñ(Ô(Ñ(­HÒ4Ð4Ð4Ð4Ð4Ð4r#   c                  óZ   — t          t          dddd¦  «        } t          | z   }|| k    sJ ‚d S r*   r\   )r-   r,   s     r   Ú	test_raddrl   ²   s1   € å•] A q¨!¨QÑ/Ô/€Aå�1‰€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  óZ  — 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 )Né   )r
   r7   r8   r   r,   r   Úscale)r7   r8   r,   r-   s       r   Ú+test_ed25519_test_normalisation_and_scalingrp   »   sø   € ÝÔÑÔ€AÝÔÑÔ€AÝŒÑÔ€Aå•] A¨¡F¨Q¡J°°B±¸±
¸BÀÀAÁÈÁ
ÈQÁÑOÔO€Aà�3Š3‰5Œ5�AŠ:ˆ:ˆ:ˆ:Ø�3Š3‰5Œ5�AŠ:ˆ:ˆ:ˆ:à‡G‚G�I„I€Ià�3Š3‰5Œ5�AŠ:ˆ:ˆ:ˆ:Ø�3Š3‰5Œ5�AŠ:ˆ:ˆ:ˆ:à‡G‚G�I„I€Ià�3Š3‰5Œ5�AŠ:ˆ:ˆ:ˆ:Ø�3Š3‰5Œ5�AŠ:ˆ:ˆ:ˆ:ˆ:ˆ:r#   c                  ó¦   — t           } | | z   | z   }t          d¦  «        }t          d¦  «        }t          t          ||d||z  ¦  «        }||k    sJ ‚d S )NÚM46896733464454938657123544595386787789046198280132665686241321779790909858396ÚL8324843778533443976490377120369201138301417226297555316741202210403726505172r   )r
   rC   r   r   )r-   rD   Úx3Úy3rG   s        r   Útest_ed25519_add_three_timesrv   Ð   sj   € Ý€Aà	ˆA‰�‰	€Aå	ð	ñ
ô 
€Bõ 
ð	ñ
ô 
€Bõ
 	•] B¨¨A¨r°B©wÑ7Ô7€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  ó¢   — t          d¦  «        } t          d¦  «        }t          t          | |d| |z  ¦  «        }|t          z   }|t          u sJ ‚d S ©NÚM42783823269122696939284341094755422415180979639778424813682678720006717057747ÚM46316835694926478169428394003475163141307993866256225615783033603165251855960r   )rC   r   r   r
   r   ©Úx1Úy1Úinf_m_1Úinfs       r   Útest_ed25519_add_to_infinityr€   ã   sc   € å	ð	ñ
ô 
€Bõ 
ð	ñ
ô 
€Bõ �=¨"¨b°!°R¸"±WÑ=Ô=€Gà
Õ%Ñ
%€Cà•(ˆ?ˆ?ˆ?ˆ?ˆ?ˆ?r#   c                  óR   — t           } | | z   | dz  k    sJ ‚| | z   | z   | dz  k    sJ ‚d S rT   ©r
   r9   s    r   Ú$test_ed25519_add_and_mul_equivalencerƒ   ô   s?   € Ý€Aàˆq‰5�A˜‘EŠ>ˆ>ˆ>ˆ>Øˆq‰5�1‰9˜˜A™ÒÐÐÐÐÐr#   c                  ó8   — t           } | t          z   }|| k    sJ ‚d S r%   rY   ©r:   rD   s     r   Ú!test_ed25519_add_literal_infinityr†   û   s!   € Ý€AØ	�H‰€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  óx   — 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   Útest_ed25519_add_infinityrˆ     sL   € Ý
•} a¨¨A¨qÑ
1Ô
1€CÝ€AØ	ˆC‰€Aà�Š6ˆ6ˆ6ˆ6àˆa‰€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                   ó   — e Zd Zd„ Zd„ ZdS )ÚTestEd25519c                 óØ   — |                       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   ÚassertInÚstrÚ	exception©r   Úes     r   Útest_add_wrong_curvesz!TestEd25519.test_add_wrong_curves  sš   € Ø×Ò�zÑ*Ô*ð 	0¨aÝ¥Ñ/Ð/ð	0ð 	0ð 	0ñ 	0ô 	0ð 	0ð 	0ð 	0ð 	0ð 	0ð 	0øøøð 	0ð 	0ð 	0ð 	0ð 	�ŠÐ'­¨Q¬[Ñ)9Ô)9Ñ:Ô:Ð:Ð:Ð:ó   ›7·;¾;c                 óØ   — |                       t          ¦  «        5 }t          t          z    d d d ¦  «         n# 1 swxY w Y   |                      dt          |j        ¦  «        ¦  «         d S rŒ   )r   r   r
   r   r�   rŽ   r�   r�   s     r   Útest_add_wrong_point_typez%TestEd25519.test_add_wrong_point_type  sš   € Ø×Ò�zÑ*Ô*ð 	.¨aÝ¥Ñ-Ð-ð	.ð 	.ð 	.ñ 	.ô 	.ð 	.ð 	.ð 	.ð 	.ð 	.ð 	.øøøð 	.ð 	.ð 	.ð 	.ð 	�ŠÐ'­¨Q¬[Ñ)9Ô)9Ñ:Ô:Ð:Ð:Ð:r“   N)r   r    r!   r’   r•   r"   r#   r   rŠ   rŠ     s2   € € € € € ð;ð ;ð ;ð;ð ;ð ;ð ;ð ;r#   rŠ   c                  óÚ   — t          d¦  «        } t          d¦  «        }t          t          | |d| |z  ¦  «        }t          t          d|¬¦  «        }|                     ¦   «         |k    sJ ‚d S )Nry   rz   r   s    00000000000000000000000000000000)Úpublic_point)rC   r   r   r   r
   r—   )r|   r}   r,   Úpks       r   Útest_generate_with_pointr™     s}   € Ý	ð	ñ
ô 
€Bõ 
ð	ñ
ô 
€Bõ 	•] B¨¨A¨r°B©wÑ7Ô7€Aå	Õ$ i¸aÐ	@Ñ	@Ô	@€Bà�?Š?ÑÔ Ò!Ð!Ð!Ð!Ð!Ð!r#   c                  óÀ   — 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   Útest_ed25519_mul_to_order_min_1r›   ,  sr   € Ý	ð	ñ
ô 
€Bõ 
ð	ñ
ô 
€Bõ �=¨"¨b°!°R¸"±WÑ=Ô=€GåÕ 1Ô 7Ñ 9Ô 9¸AÑ =Ñ>À'ÒIÐIÐIÐIÐIÐIr#   c                  óR   — t           t          j        ¦   «         z  t          k    sJ ‚d S r%   )r
   ri   r   r"   r#   r   Útest_ed25519_mul_to_infinityr�   :  s(   € ÝÕ0Ô6Ñ8Ô8Ñ8½HÒDÐDÐDÐDÐDÐDr#   c                  óT   — t           } | |                      ¦   «         dz   z  | k    sJ ‚d S r*   )r
   ri   r9   s    r   Ú#test_ed25519_mul_to_infinity_plus_1rŸ   >  s/   € Ý€AØ�—’‘	”	˜A‘Ñ !Ò#Ð#Ð#Ð#Ð#Ð#r#   c                  óD   — t           } | dz  }| dz  | dz  z   }||k    sJ ‚d S )Né€   é@   r‚   ©r:   r-   rG   s      r   Útest_ed25519_mul_and_addr¤   C  s2   € Ý€AØ	ˆC‰€AØ	ˆB‰��R‘‰€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  óD   — t           } | dz  }| dz  | dz  z   }||k    sJ ‚d S )Né{   éx   rV   r‚   r£   s      r   Útest_ed25519_mul_and_add_2r¨   K  s2   € Ý€Aà	ˆC‰€AØ	ˆC‰�!�a‘%‰€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  óZ   — t          t          dddd¦  «        } | dz  }|t          k    sJ ‚d S )Nr   r   rn   r\   )r   rD   s     r   Útest_ed25519_mul_infinityrª   T  s1   € Ý
•} a¨¨A¨qÑ
1Ô
1€Càˆb‰€Aà•Š=ˆ=ˆ=ˆ=ˆ=ˆ=r#   c                  ó4   — t           dz  } | t          k    sJ ‚d S )Nr   rY   ©rD   s    r   Útest_ed25519_mul_by_zeror­   \  s   € Ý˜AÑ€Aà•Š=ˆ=ˆ=ˆ=ˆ=ˆ=r#   c                  ó4   — t           dz  } | t           k    sJ ‚d S r*   r‚   r¬   s    r   Útest_ed25519_mul_by_oner¯   b  s$   € Ý˜AÑ€AàÕ!Ò!Ð!Ð!Ð!Ð!Ð!r#   c            	      óú   — t           } t          t          |                      ¦   «         |                      ¦   «         d|                      ¦   «         |                      ¦   «         z  ¦  «        }|dz  }|| dz  k    sJ ‚d S )Nr   rn   rc   )r:   r-   rD   s      r   Útest_ed25519_mul_custom_pointr±   h  s`   € õ 	€Aå•] A§C¢C¡E¤E¨1¯3ª3©5¬5°!°Q·S²S±U´U¸Q¿SºS¹U¼U±]ÑCÔC€Aà	ˆB‰€Aà��B‘Š;ˆ;ˆ;ˆ;ˆ;ˆ;r#   c                  ól   — t           } t          j        t          j        | ¦  «        ¦  «        | k    sJ ‚d S r%   )r
   ÚpickleÚloadsÚdumpsr9   s    r   Útest_ed25519_pickler¶   t  s0   € Ý€AÝŒ<�œ Q™œÑ(Ô(¨AÒ-Ð-Ð-Ð-Ð-Ð-r#   c                  ó*   — t           t          k    sJ ‚d S r%   )r
   r   r"   r#   r   Ú%test_ed448_eq_against_different_curver¸   y  s   € Ý¥Ò/Ð/Ð/Ð/Ð/Ð/r#   c                  óü   — t           } |                      ¦   «         }t          |t          ¦  «        sJ ‚t	          d¦  «        }t	          d¦  «        }t          t
          ||d||z  ¦  «        }||k    sJ ‚| |k    sJ ‚d S )NÚ‡484559149530404593699549205258669689569094240458212040187660132787056912146709081364401144455726350866276831544947397859048262938744149Ú‡494088759867433727674302672526735089350544552303727723746126484473087719117037293890093462157703888342865036477787453078312060500281069r   )r   rA   rB   r   rC   r   )r:   rD   rE   rF   rG   s        r   Útest_ed448_doubler¼   }  s�   € Ý€AØ	�Š‰
Œ
€Aå�a�Ñ&Ô&Ð&Ð&Ð&å	ð	ñ
ô 
€Bõ
 
ð	ñ
ô 
€Bõ 	•[ " b¨!¨R°"©WÑ5Ô5€Aà�Š6ˆ6ˆ6ˆ6Ø�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  óV   — t           } | | z   }|                      ¦   «         }||k    sJ ‚d S r%   ©r   rA   ©r:   rD   rG   s      r   Útest_ed448_add_as_doublerÀ   ”  s.   € Ý€AØ	ˆA‰€Aà	�Š‰
Œ
€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  óV   — t           } | dz  }|                      ¦   «         }||k    sJ ‚d S )NrU   r¾   r¿   s      r   Útest_ed448_mul_as_doublerÂ   �  s.   € Ý€AØ	ˆA‰€AØ	�Š‰
Œ
€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  ó¢   — t          d¦  «        } t          d¦  «        }t          t          | |d| |z  ¦  «        }|t          z   }|t          u sJ ‚d S )NÚ‡502258683999682590361719473788108498106851719054753926035364737493661912699324739777367190829318592647510852386697191187378895383117729Ú‡298819210078481492676017930443930673437544040154080242095928241372331506189835876003536878655418784733982303233503462500531545062832660r   )rC   r   r   r   r   r{   s       r   Útest_ed448_add_to_infinityrÆ   ¥  sb   € å	ð	ñ
ô 
€Bõ
 
ð	ñ
ô 
€Bõ
 �;¨¨B°°2¸±7Ñ;Ô;€Gà
•OÑ
#€Cà•(ˆ?ˆ?ˆ?ˆ?ˆ?ˆ?r#   c                  óX   — t           } | |                      ¦   «         z  }|t          u sJ ‚d S r%   )r   ri   r   )r:   r   s     r   Útest_ed448_mul_to_infinityrÈ   ¸  s)   € Ý€AØ
ˆa�gŠg‰iŒi‰-€Cà•(ˆ?ˆ?ˆ?ˆ?ˆ?ˆ?r#   c                  óX   — t           } | |                      ¦   «         dz   z  }|| k    sJ ‚d S r*   )r   ri   r…   s     r   Ú!test_ed448_mul_to_infinity_plus_1rÊ   ¿  s.   € Ý€Aà	ˆQ�WŠW‰YŒY˜‰]Ñ€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                  óR   — t           } | | z   | dz  k    sJ ‚| | z   | z   | dz  k    sJ ‚d S rT   )r   r9   s    r   Ú"test_ed448_add_and_mul_equivalencerÌ   Ç  s?   € Ý€Aàˆq‰5�A˜‘EŠ>ˆ>ˆ>ˆ>Øˆq‰5�1‰9˜˜A™ÒÐÐÐÐÐr#   c                  óz   — t           } |                      ¦   «         }t          |¦  «        dk    sJ ‚d}||k    sJ ‚d S )Né    ó    Xfffffffffffffffffffffffffffffff)r
   Úto_bytesÚlen©r:   Úg_bytesÚ	exp_bytess      r   Útest_ed25519_encoderÕ   Î  sO   € Ý€AØ�jŠj‰lŒl€GÝˆw‰<Œ<˜2ÒÐÐÐð	Lð ð �iÒÐÐÐÐÐr#   c                  óX   — d} t          j        t          | ¦  «        }|t          k    sJ ‚d S )NrÏ   )r   Ú
from_bytesr   r
   ©rÔ   r-   s     r   Útest_ed25519_decoderÙ   Ù  s9   € ð	Lð õ 	Ô¥¨yÑ9Ô9€AàÕ!Ò!Ð!Ð!Ð!Ð!Ð!r#   c                   ó    — e Zd Zd„ Zd„ Zd„ ZdS )ÚTestEdwardsMalformedc                 ó¤   — 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   rÔ   s     r   Útest_invalid_pointz'TestEdwardsMalformed.test_invalid_pointä  s›   € ðPð 	ð ×ÒÕ2Ñ3Ô3ð 	>ð 	>ÝÔ#¥M°9Ñ=Ô=Ð=ð	>ð 	>ð 	>ñ 	>ô 	>ð 	>ð 	>ð 	>ð 	>ð 	>ð 	>ð 	>øøøð 	>ð 	>ð 	>ð 	>ð 	>ð 	>ó   �AÁA	ÁA	c                 óò   — d}|                       t          ¦  «        5 }t          j        t          |¦  «         d d d ¦  «         n# 1 swxY w Y   |                      dt          |j        ¦  «        ¦  «         d S )Ns!   XffffffffffffffffffffffffffffffffÚlength)r   r   r   r×   r   r�   rŽ   r�   )r   rÔ   r‘   s      r   Útest_invalid_lengthz(TestEdwardsMalformed.test_invalid_lengthì  s®   € ðð 	ð
 ×ÒÕ2Ñ3Ô3ð 	>°qÝÔ#¥M°9Ñ=Ô=Ð=ð	>ð 	>ð 	>ñ 	>ô 	>ð 	>ð 	>ð 	>ð 	>ð 	>ð 	>øøøð 	>ð 	>ð 	>ð 	>ð 	�Š�h¥ A¤KÑ 0Ô 0Ñ1Ô1Ð1Ð1Ð1s   �AÁAÁAc                 ó¤   — d}|                       t          ¦  «        5  t          j        t          |¦  «         d d d ¦  «         d S # 1 swxY w Y   d S )Ns9   ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ)r   r   r   r×   r   rÝ   s     r   Útest_ed448_invalidz'TestEdwardsMalformed.test_ed448_invalid÷  s“   € Ø ˆ	Ø×ÒÕ2Ñ3Ô3ð 	<ð 	<ÝÔ#¥K°Ñ;Ô;Ð;ð	<ð 	<ð 	<ñ 	<ô 	<ð 	<ð 	<ð 	<ð 	<ð 	<ð 	<ð 	<øøøð 	<ð 	<ð 	<ð 	<ð 	<ð 	<rß   N)r   r    r!   rÞ   râ   rä   r"   r#   r   rÛ   rÛ   ã  sA   € € € € € ð>ð >ð >ð	2ð 	2ð 	2ð<ð <ð <ð <ð <r#   rÛ   c                  óz   — t           } |                      ¦   «         }t          |¦  «        dk    sJ ‚d}||k    sJ ‚d S )Né9   ó9   ú0ò[y˜­È×N,½ýÄ9|æÿÓ:×Â œx‡@˜£lssêKbÇÉV7 vˆ$¼¶nqF?i )r   rÐ   rÑ   rÒ   s      r   Útest_ed448_encoderè   ý  sN   € Ý€AØ�jŠj‰lŒl€GÝˆw‰<Œ<˜2ÒÐÐÐð	<ð ð �iÒÐÐÐÐÐr#   c                  óX   — d} t          j        t          | ¦  «        }|t          k    sJ ‚d S )Nrç   )r   r×   r   r   rØ   s     r   Útest_ed448_decoderê   
  s7   € ð	<ð õ 	Ô¥¨YÑ7Ô7€Aà•ÒÐÐÐÐÐr#   c                   ó>   — e Zd Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z	d„ Z
d	S )
ÚTestEdDSAEqualityc                 ó¸   — t          t          d¦  «        }t          t          d¦  «        }|                      ||¦  «         |                      ||k    ¦  «         d S ©Nó    )r   r
   ÚassertEqualÚassertFalse©r   Úkey1Úkey2s      r   Útest_equal_public_pointsz*TestEdDSAEquality.test_equal_public_points  sV   € ÝÕ*¨LÑ9Ô9ˆÝÕ*¨LÑ9Ô9ˆà×Ò˜˜tÑ$Ô$Ð$à×Ò˜ šÑ&Ô&Ð&Ð&Ð&r#   c                 ó†   — t          t          d¦  «        }t          t          d¦  «        }|                      ||¦  «         d S )Nrï   s    ©r   r
   ÚassertNotEqualrò   s      r   Útest_unequal_public_pointsz,TestEdDSAEquality.test_unequal_public_points   s>   € ÝÕ*¨LÑ9Ô9ˆÝÕ*¨LÑ9Ô9ˆà×Ò˜D $Ñ'Ô'Ð'Ð'Ð'r#   c                 ó`   — t          t          d¦  «        }d}|                      ||¦  «         d S rî   r÷   rò   s      r   Útest_unequal_to_stringz(TestEdDSAEquality.test_unequal_to_string&  s3   € ÝÕ*¨LÑ9Ô9ˆØˆà×Ò˜D $Ñ'Ô'Ð'Ð'Ð'r#   c                 ó¸   — t          t          d¦  «        }t          t          d¦  «        }|                      ||¦  «         |                      ||k    ¦  «         d S )Nrï   s9    )r   r
   r   rø   Ú
assertTruerò   s      r   Útest_unequal_publickey_curvesz/TestEdDSAEquality.test_unequal_publickey_curves,  sT   € ÝÕ*¨LÑ9Ô9ˆÝ�Ð*@ÑAÔAˆà×Ò˜D $Ñ'Ô'Ð'à�Š˜ šÑ%Ô%Ð%Ð%Ð%r#   c                 ó¸   — t          t          d¦  «        }t          t          d¦  «        }|                      ||¦  «         |                      ||k    ¦  «         d S rî   )r   r
   rð   rñ   rò   s      r   Útest_equal_private_keysz)TestEdDSAEquality.test_equal_private_keys4  sV   € ÝÕ+¨\Ñ:Ô:ˆÝÕ+¨\Ñ:Ô:ˆà×Ò˜˜tÑ$Ô$Ð$à×Ò˜ šÑ&Ô&Ð&Ð&Ð&r#   c                 ó¸   — t          t          d¦  «        }t          t          d¦  «        }|                      ||¦  «         |                      ||k    ¦  «         d S )Nrï   s    )r   r
   rø   rý   rò   s      r   Útest_unequal_private_keysz+TestEdDSAEquality.test_unequal_private_keys<  sT   € ÝÕ+¨\Ñ:Ô:ˆÝÕ+¨\Ñ:Ô:ˆà×Ò˜D $Ñ'Ô'Ð'à�Š˜ šÑ%Ô%Ð%Ð%Ð%r#   c                 ó`   — t          t          d¦  «        }d}|                      ||¦  «         d S rî   )r   r
   rø   rò   s      r   Ú!test_unequal_privatekey_to_stringz3TestEdDSAEquality.test_unequal_privatekey_to_stringD  s3   € ÝÕ+¨\Ñ:Ô:ˆØˆà×Ò˜D $Ñ'Ô'Ð'Ð'Ð'r#   c                 ó†   — t          t          d¦  «        }t          t          d¦  «        }|                      ||¦  «         d S )Nrï   s9   )r   r
   r   rø   rò   s      r   Útest_unequal_privatekey_curvesz0TestEdDSAEquality.test_unequal_privatekey_curvesJ  s=   € ÝÕ+¨\Ñ:Ô:ˆÝ�/¨<Ñ8Ô8ˆà×Ò˜D $Ñ'Ô'Ð'Ð'Ð'r#   N)r   r    r!   rõ   rù   rû   rþ   r   r  r  r  r"   r#   r   rì   rì     sŒ   € € € € € ð'ð 'ð 'ð(ð (ð (ð(ð (ð (ð&ð &ð &ð'ð 'ð 'ð&ð &ð &ð(ð (ð (ð(ð (ð (ð (ð (r#   rì   c                   ó>   — e Zd Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Zd„ Z	d„ Z
d	S )
ÚTestInvalidEdDSAInputsc                 ó–   — |                       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   Ú test_wrong_length_of_private_keyz7TestInvalidEdDSAInputs.test_wrong_length_of_private_keyR  s‹   € Ø×Ò�zÑ*Ô*ð 	8ð 	8ÝÕ(¨,Ñ7Ô7Ð7ð	8ð 	8ð 	8ñ 	8ô 	8ð 	8ð 	8ð 	8ð 	8ð 	8ð 	8ð 	8øøøð 	8ð 	8ð 	8ð 	8ð 	8ð 	8ó   ›>¾AÁAc                 ó–   — |                       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   Útest_wrong_length_of_public_keyz6TestInvalidEdDSAInputs.test_wrong_length_of_public_keyV  s‹   € Ø×Ò�zÑ*Ô*ð 	7ð 	7ÝÕ'¨Ñ6Ô6Ð6ð	7ð 	7ð 	7ñ 	7ô 	7ð 	7ð 	7ð 	7ð 	7ð 	7ð 	7ð 	7øøøð 	7ð 	7ð 	7ð 	7ð 	7ð 	7r  c           	      ón  — 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                 ój   — t          j        dt          | ¦  «        ¦  «                             ¦   «         S )NÚsha512)ÚhashlibÚnewr   Údigest)Údatas    r   Ú_hashz?TestInvalidEdDSAInputs.test_wrong_cofactor_curve.<locals>._hash]  s(   € Ý”;˜x­°dÑ);Ô);Ñ<Ô<×CÒCÑEÔEÐEr#   r   Úcofactor)r   r	   r,   r-   r3   r
   r   r7   r8   r   r   r   rÐ   r�   rŽ   r�   )r   Úed_cr  Úcurver:   Úfake_genr‘   s          r   Útest_wrong_cofactor_curvez0TestInvalidEdDSAInputs.test_wrong_cofactor_curveZ  s*  € Ýˆð	Fð 	Fð 	Fõ ˜$Ÿ&š&™(œ( D§F¢F¡H¤H¨d¯fªf©h¬h¸¸5ÑAÔAˆÝˆÝ  q§s¢s¡u¤u¨a¯cªc©e¬e°Q¸¿º¹¼ÀÇÂÁÄ¹ÑFÔFˆà×Ò�zÑ*Ô*ð 	/¨aÝ�x §¢¡¤Ñ.Ô.Ð.ð	/ð 	/ð 	/ñ 	/ô 	/ð 	/ð 	/ð 	/ð 	/ð 	/ð 	/øøøð 	/ð 	/ð 	/ð 	/ð 	�Š�j¥# a¤kÑ"2Ô"2Ñ3Ô3Ð3Ð3Ð3s   Ã#DÄDÄ	Dc                 ó  — t          t          d¦  «        }|                      t          ¦  «        5 }|                     dd¦  «         d d d ¦  «         n# 1 swxY w Y   |                      dt          |j        ¦  «        ¦  «         d S )Nrï   r#   sA   rá   )r   r
   r   r   Úverifyr�   rŽ   r�   ©r   Úkeyr‘   s      r   Útest_invalid_signature_lengthz4TestInvalidEdDSAInputs.test_invalid_signature_lengthi  s²   € ÝÕ)¨<Ñ8Ô8ˆà×Ò�zÑ*Ô*ð 	*¨aØ�JŠJ�s˜LÑ)Ô)Ð)ð	*ð 	*ð 	*ñ 	*ô 	*ð 	*ð 	*ð 	*ð 	*ð 	*ð 	*øøøð 	*ð 	*ð 	*ð 	*ð 	�Š�h¥ A¤KÑ 0Ô 0Ñ1Ô1Ð1Ð1Ð1s   °AÁAÁAc           	      óH  — t          t          d¦  «        }|j        }t          t          |                     ¦   «         |                     ¦   «         d|                     ¦   «         |                     ¦   «         z  ¦  «        }||_        |                      ||j        ¦  «         d S )Nrï   r   )r   r
   Úpointr   r   r7   r8   rð   )r   r  r:   Únew_gs       r   Útest_changing_public_keyz/TestInvalidEdDSAInputs.test_changing_public_keyq  sw   € ÝÕ)¨<Ñ8Ô8ˆàŒIˆå�]¨A¯CªC©E¬E°1·3²3±5´5¸!¸Q¿SºS¹U¼UÀQÇSÂSÁUÄU¹]ÑKÔKˆàˆŒ	à×Ò˜˜CœIÑ&Ô&Ð&Ð&Ð&r#   c                 óü   — t          t          d¦  «        }|                      t          ¦  «        5 }t          |_        d d d ¦  «         n# 1 swxY w Y   |                      dt          |j        ¦  «        ¦  «         d S )Nrï   Úcoordinates)r   r
   r   r   r!  r�   rŽ   r�   r  s      r   Ú+test_changing_public_key_to_different_pointzBTestInvalidEdDSAInputs.test_changing_public_key_to_different_point|  s¥   € ÝÕ)¨<Ñ8Ô8ˆà×Ò�zÑ*Ô*ð 	*¨aÝ)ˆCŒIð	*ð 	*ð 	*ñ 	*ô 	*ð 	*ð 	*ð 	*ð 	*ð 	*ð 	*øøøð 	*ð 	*ð 	*ð 	*ð 	�Š�m¥S¨¬Ñ%5Ô%5Ñ6Ô6Ð6Ð6Ð6s   °A	Á	AÁAc                 óZ  — 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 )Nó    ×Z˜‚±
·ÕKþÓÉd:áróÚ¦#%¯h÷Qó@   åVC Ã`¬r�†âÌ€n‚Š„‡¸åÙtØsàe"IU_¸‚�£;¬Æ9pù´kÒ[õðY[¾$eQACŽzr#   éÿ   éÿÿÿÿ©r   r
   Ú	bytearrayrý   r  r   r   ©r   r  Ú	sig_validÚsig_invalids       r   Útest_invalid_s_valuez+TestInvalidEdDSAInputs.test_invalid_s_value„  sõ   € ÝÝðPñ
ô 
ˆõ
 ðPñ
ô 
ˆ	ð 	�Š˜Ÿ
š
 3¨	Ñ2Ô2Ñ3Ô3Ð3å 	Ñ*Ô*ˆØˆ�B‰à×Ò�zÑ*Ô*ð 	)ð 	)Ø�JŠJ�s˜KÑ(Ô(Ð(ð	)ð 	)ð 	)ñ 	)ô 	)ð 	)ð 	)ð 	)ð 	)ð 	)ð 	)ð 	)øøøð 	)ð 	)ð 	)ð 	)ð 	)ð 	)ó   Á<B Â B$Â'B$c                 óZ  — t          t          d¦  «        }t          d¦  «        }|                      |                     d|¦  «        ¦  «         t          |¦  «        }d|d<   |                      t          ¦  «        5  |                     d|¦  «         d d d ¦  «         d S # 1 swxY w Y   d S )Nr(  r)  r#   éà   r   r,  r.  s       r   Útest_invalid_r_valuez+TestInvalidEdDSAInputs.test_invalid_r_value™  sõ   € ÝÝðPñ
ô 
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 ðPñ
ô 
ˆ	ð 	�Š˜Ÿ
š
 3¨	Ñ2Ô2Ñ3Ô3Ð3å 	Ñ*Ô*ˆØˆ�A‰à×Ò�zÑ*Ô*ð 	)ð 	)Ø�JŠJ�s˜KÑ(Ô(Ð(ð	)ð 	)ð 	)ñ 	)ô 	)ð 	)ð 	)ð 	)ð 	)ð 	)ð 	)ð 	)øøøð 	)ð 	)ð 	)ð 	)ð 	)ð 	)r2  N)r   r    r!   r
  r  r  r  r#  r&  r1  r5  r"   r#   r   r  r  Q  sŒ   € € € € € ð8ð 8ð 8ð7ð 7ð 7ð4ð 4ð 4ð2ð 2ð 2ð	'ð 	'ð 	'ð7ð 7ð 7ð)ð )ð )ð*)ð )ð )ð )ð )r#   r  z--fastrU   Úmax_examplesé
   é   )Ú	min_valueÚ	max_valuec                 ó‚   — t           | z  }t          j        t          |                     ¦   «         ¦  «        }||k    sJ ‚d S r%   )r
   r   r×   r   rÐ   ©Úmultipler-   rG   s      r   Útest_ed25519_encode_decoder>  ¶  s9   € õ
 	˜HÑ$€AåÔ¥¨q¯zªz©|¬|Ñ<Ô<€Aà�Š6ˆ6ˆ6ˆ6ˆ6ˆ6r#   c                 ó‚   — t           | z  }t          j        t          |                     ¦   «         ¦  «        }||k    sJ ‚d S r%   )r   r   r×   r   rÐ   r<  s      r   Útest_ed448_encode_decoder@  Â  s9   € õ
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r   Ú"test_ed25519_mul_precompute_vs_nafrB  Î  sb   € õ 	€AÝ�¨¯ª©¬¨q¯sªs©u¬u°a¸¿º¹¼ÀÇÂÁÄ¹ÑGÔG€Eàˆx‰<˜8 eÑ+Ò+Ð+Ð+Ð+Ð+Ð+r#   Ú@9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60Ú@d75a980182b10ab7d54bfed3c964073a0ee172f3daa62325af021a68f707511aÚ Ú€e5564300c360ac729086e2cc806e828a84877f1eb8e5d974d873e065224901555fb8821590a33bacc61e39701cf9b46bd25bf5f0595bbe24655141438e7a100bÚ@4ccd089b28ff96da9db6c346ec114e0f5b8a319f35aba624da8cf6ed4fb8a6fbÚ@3d4017c3e843895a92b70aa74d1b7ebc9c982ccf2ec4968cc0cd55f12af4660cÚ72Ú€92a009a9f0d4cab8720e820b5f642540a2b27b5416503f8fb3762223ebdb69da085ac1e43e15996e458f3613d0f11d8c387b2eaeb4302aeeb00d291612bb0c00Ú@c5aa8df43f9f837bedb7442f31dcb7b166d38535076f094b85ce3a2e0b4458f7Ú@fc51cd8e6218a1a38da47ed00230f0580816ed13ba3303ac5deb911548908025Úaf82Ú€6291d657deec24024827e69c3abe01a30ce548a284743a445e3680d7db5ac3ac18ff9b538d16f290ae67f760984dc6594a7c15e9716ed28dc027beceea1ec40aÚ@f5e5767cf153319517630f226876b86c8160cc583bc013744c6bf255f5cc0ee5Ú@278117fc144c72340f67d0f2316e8386ceffbf2b2428c9c51fef7c597f1d426eÁþ  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Ú€0aab4c900501b3e24d7cdf4663326a3a87df5e4843b2cbdb67cbf6e460fec350aa5371b1508f9f4528ecea23c436d94b5e8fcd4f681e30a6ac00a9704a188a03Ú@833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42Ú@ec172b93ad5e563bf4932c70e1245034c35467ef2efd4d64ebf819683467e2bfÚ€ddaf35a193617abacc417349ae20413112e6fa4e89a97ea20a9eeee64b55d39a2192992a274fc1a836ba3c23a3feebbd454d4423643ce80e2a9ac94fa54ca49fÚ€dc2a4459e7369633a52b1bf277839a00201009a3efbf3ecb69bea2186c26b58909351fc9ac90b3ecfdfbc7c66431e0303dca179c138ac17ad9bef1177331a704Úr6c82a562cb808d10d632be89c8513ebf6c929f34ddfa8c9f63c9960ef6e348a3528c8a3fcc2f044e39a3fc5b94492f8f032e7549a20098f95bÚr5fd7449b59b461fd2ce787ec616ad46a1da1342485a70e1f8a0ea75d80e96778edf124769b46c7061bd6783df1e50f6cd1fa1abeafe8256180Úä533a37f6bbe457251f023c0d88f976ae2dfb504a843e34d2074fd823d41a591f2b233f034f628281f2fd7a22ddd47d7828c59bd0a21bfd3980ff0d2028d4b18a9df63e006c5d1c2d345b925d8dc00b4104852db99ac5c7cdda8530a113a0f4dbb61149f05a7363268c71d95808ff2e652600Úrc4eab05d357007c632f3dbb48489924d552b08fe0c353a0d4a1f00acda2c463afbea67c5e8d2877c5e3bc397a659949ef8021e954e0a12274eÚr43ba28f430cdff456ae531545f7ecd0ac834a55d9358c0372bfa0c6c6798c0866aea01eb00742802b8438ea4cb82169c235160627b4c3a9480Ú03Úä26b8f91727bd62897af15e41eb43c377efb9c610d48f2335cb0bd0087810f4352541b143c4b981b7e18f62de8ccdf633fc1bf037ab7cd779805e0dbcc0aae1cbcee1afb2e027df36bc04dcecbf154336c19f0af7e0a6472905e799f1953d2a0ff3348ab21aa4adafd1d234441cf807c03a00Úrcd23d24f714274e744343237b93290f511f6425f98e64459ff203e8985083ffdf60500553abc0e05cd02184bdb89c4ccd67e187951267eb328Úrdcea9e78f35a1bf3499a831b10b86c90aac01cd84b67a0109b55a36e9328b1e365fce161d71ce7131a543ea4cb5f7e9f1d8b00696447001400Ú0c3e544074ec63b0265e0cÚä1f0a8888ce25e8d458a21130879b840a9089d999aaba039eaf3e3afa090a09d389dba82c4ff2ae8ac5cdfb7c55e94d5d961a29fe0109941e00b8dbdeea6d3b051068df7254c0cdc129cbe62db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public_keyÚsignr  )Ú	generatorÚprivate_keyrw  ÚmessageÚ	signatureÚsig_keyÚver_keyÚgen_sigs           r   Útest_vectorsr€  Q  sÍ   € õ
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2ð 2ð 2ðð ð ð,	ð 	ð 	ðð ð ðð ð ð
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ð ð ð.ð .ð .ðð ð ðð ð ð	5ð 	5ð 	5ðð ð ðð ð ð*ð ð ð&ð ð ð"ð ð ðð ð ð	ð 	ð 	ð;ð ;ð ;ð ;ð ;�(Ô#ñ ;ô ;ð ;ð"ð "ð "ð Jð Jð JðEð Eð Eð$ð $ð $ð
ð ð ðð ð ðð ð ðð ð ð"ð "ð "ð	ð 	ð 	ð.ð .ð .ð
0ð 0ð 0ðð ð ð.ð ð ðð ð ðð ð ð&ð ð ðð ð ðð ð ð ð  ð  ð"ð "ð "ð<ð <ð <ð <ð <˜8Ô,ñ <ô <ð <ð4
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 ð7(ð 7(ð 7(ð 7(ð 7(˜Ô)ñ 7(ô 7(ð 7(ðt[)ð [)ð [)ð [)ð [)˜XÔ.ñ [)ô [)ð [)ð| ˆt‰vŒv€ØˆsŒxÐÐØ#$€L�Ñ Ð à#%€L�Ñ ð 
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ð	+ð	ð 	ØMØMØð	+ð	ð 	ØMØMØð	+ð	ð 	ØMØMð?	)ð@	+ðIHðV 	ØMØMð	+ð	+ðð 	ð	ð	ð 	ð	ðð, 	ð	ð	ð 	ð	ðð, 	ð	ð	ð 	!ð	ðð, 	ð	ð	ð 	#ð	ðð, 	ð	ð	ð 	%ð	ðð, 	ð	ð	ð	+ð	ðð2 	ð	ð	ð	+ð 	ð5"ðJ 	ð	ð	ð?	)ð@	ðURðA	s€ðl „×ÒØ8Øñô ð.ð .ñ	ô ð.ð .ð .s   ’ —	#¢#