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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# ===================================================================
#
# Copyright (c) 2022, 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:
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# 1. Redistributions of source code must retain the above copyright
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# 2. Redistributions in binary form must reproduce the above copyright
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#    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
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# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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import unittest
from binascii import unhexlify

from Crypto.SelfTest.st_common import list_test_cases
from Crypto.SelfTest.loader import load_test_vectors

from Crypto.PublicKey import ECC
from Crypto.PublicKey.ECC import EccPoint, _curves, EccKey

from Crypto.Math.Numbers import Integer

from Crypto.Hash import SHAKE128


class TestEccPoint_Ed25519(unittest.TestCase):

    Gxy = {"x": 15112221349535400772501151409588531511454012693041857206046113283949847762202,
           "y": 46316835694926478169428394003475163141307993866256225615783033603165251855960}

    G2xy = {"x": 24727413235106541002554574571675588834622768167397638456726423682521233608206,
            "y": 15549675580280190176352668710449542251549572066445060580507079593062643049417}

    G3xy = {"x": 46896733464454938657123544595386787789046198280132665686241321779790909858396,
            "y": 8324843778533443976490377120369201138301417226297555316741202210403726505172}

    pointG = EccPoint(Gxy['x'], Gxy['y'], curve="Ed25519")
    pointG2 = EccPoint(G2xy['x'], G2xy['y'], curve="Ed25519")
    pointG3 = EccPoint(G3xy['x'], G3xy['y'], curve="Ed25519")

    def test_init_xy(self):
        EccPoint(self.Gxy['x'], self.Gxy['y'], curve="Ed25519")

        # Neutral point
        pai = EccPoint(0, 1, curve="Ed25519")
        self.assertEqual(pai.x, 0)
        self.assertEqual(pai.y, 1)
        self.assertEqual(pai.xy, (0, 1))

        # G
        bp = self.pointG.copy()
        self.assertEqual(bp.x, 15112221349535400772501151409588531511454012693041857206046113283949847762202)
        self.assertEqual(bp.y, 46316835694926478169428394003475163141307993866256225615783033603165251855960)
        self.assertEqual(bp.xy, (bp.x, bp.y))

        # 2G
        bp2 = self.pointG2.copy()
        self.assertEqual(bp2.x, 24727413235106541002554574571675588834622768167397638456726423682521233608206)
        self.assertEqual(bp2.y, 15549675580280190176352668710449542251549572066445060580507079593062643049417)
        self.assertEqual(bp2.xy, (bp2.x, bp2.y))

        # 5G
        EccPoint(x=33467004535436536005251147249499675200073690106659565782908757308821616914995,
                 y=43097193783671926753355113395909008640284023746042808659097434958891230611693,
                 curve="Ed25519")

        # Catch if point is not on the curve
        self.assertRaises(ValueError, EccPoint, 34, 35, curve="Ed25519")

    def test_set(self):
        pointW = EccPoint(0, 1, curve="Ed25519")
        pointW.set(self.pointG)
        self.assertEqual(pointW.x, self.pointG.x)
        self.assertEqual(pointW.y, self.pointG.y)

    def test_copy(self):
        pointW = self.pointG.copy()
        self.assertEqual(pointW.x, self.pointG.x)
        self.assertEqual(pointW.y, self.pointG.y)

    def test_equal(self):
        pointH = self.pointG.copy()
        pointI = self.pointG2.copy()
        self.assertEqual(self.pointG, pointH)
        self.assertNotEqual(self.pointG, pointI)

    def test_pai(self):
        pai = EccPoint(0, 1, curve="Ed25519")
        self.assertTrue(pai.is_point_at_infinity())
        self.assertEqual(pai, pai.point_at_infinity())

    def test_negate(self):
        negG = -self.pointG
        sum = self.pointG + negG
        self.assertTrue(sum.is_point_at_infinity())

    def test_addition(self):
        self.assertEqual(self.pointG + self.pointG2, self.pointG3)
        self.assertEqual(self.pointG2 + self.pointG, self.pointG3)
        self.assertEqual(self.pointG2 + self.pointG.point_at_infinity(), self.pointG2)
        self.assertEqual(self.pointG.point_at_infinity() + self.pointG2, self.pointG2)

        G5 = self.pointG2 + self.pointG3
        self.assertEqual(G5.x, 33467004535436536005251147249499675200073690106659565782908757308821616914995)
        self.assertEqual(G5.y, 43097193783671926753355113395909008640284023746042808659097434958891230611693)

    def test_inplace_addition(self):
        pointH = self.pointG.copy()
        pointH += self.pointG
        self.assertEqual(pointH, self.pointG2)
        pointH += self.pointG
        self.assertEqual(pointH, self.pointG3)
        pointH += self.pointG.point_at_infinity()
        self.assertEqual(pointH, self.pointG3)

    def test_doubling(self):
        pointH = self.pointG.copy()
        pointH.double()
        self.assertEqual(pointH.x, self.pointG2.x)
        self.assertEqual(pointH.y, self.pointG2.y)

        # 2*0
        pai = self.pointG.point_at_infinity()
        pointR = pai.copy()
        pointR.double()
        self.assertEqual(pointR, pai)

    def test_scalar_multiply(self):
        d = 0
        pointH = d * self.pointG
        self.assertEqual(pointH.x, 0)
        self.assertEqual(pointH.y, 1)

        d = 1
        pointH = d * self.pointG
        self.assertEqual(pointH.x, self.pointG.x)
        self.assertEqual(pointH.y, self.pointG.y)

        d = 2
        pointH = d * self.pointG
        self.assertEqual(pointH.x, self.pointG2.x)
        self.assertEqual(pointH.y, self.pointG2.y)

        d = 3
        pointH = d * self.pointG
        self.assertEqual(pointH.x, self.pointG3.x)
        self.assertEqual(pointH.y, self.pointG3.y)

        d = 4
        pointH = d * self.pointG
        self.assertEqual(pointH.x, 14582954232372986451776170844943001818709880559417862259286374126315108956272)
        self.assertEqual(pointH.y, 32483318716863467900234833297694612235682047836132991208333042722294373421359)

        d = 5
        pointH = d * self.pointG
        self.assertEqual(pointH.x, 33467004535436536005251147249499675200073690106659565782908757308821616914995)
        self.assertEqual(pointH.y, 43097193783671926753355113395909008640284023746042808659097434958891230611693)

        d = 10
        pointH = d * self.pointG
        self.assertEqual(pointH.x, 43500613248243327786121022071801015118933854441360174117148262713429272820047)
        self.assertEqual(pointH.y, 45005105423099817237495816771148012388779685712352441364231470781391834741548)

        d = 20
        pointH = d * self.pointG
        self.assertEqual(pointH.x, 46694936775300686710656303283485882876784402425210400817529601134760286812591)
        self.assertEqual(pointH.y, 8786390172762935853260670851718824721296437982862763585171334833968259029560)

        d = 255
        pointH = d * self.pointG
        self.assertEqual(pointH.x, 36843863416400016952258312492144504209624961884991522125275155377549541182230)
        self.assertEqual(pointH.y, 22327030283879720808995671630924669697661065034121040761798775626517750047180)

        d = 256
        pointH = d * self.pointG
        self.assertEqual(pointH.x, 42740085206947573681423002599456489563927820004573071834350074001818321593686)
        self.assertEqual(pointH.y, 6935684722522267618220753829624209639984359598320562595061366101608187623111)

    def test_sizes(self):
        self.assertEqual(self.pointG.size_in_bits(), 255)
        self.assertEqual(self.pointG.size_in_bytes(), 32)


class TestEccKey_Ed25519(unittest.TestCase):

    def test_private_key(self):
        seed = unhexlify("9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60")
        Px = 38815646466658113194383306759739515082307681141926459231621296960732224964046
        Py = 11903303657706407974989296177215005343713679411332034699907763981919547054807

        key = EccKey(curve="Ed25519", seed=seed)
        self.assertEqual(key.seed, seed)
        self.assertEqual(key.d, 36144925721603087658594284515452164870581325872720374094707712194495455132720)
        self.assertTrue(key.has_private())
        self.assertEqual(key.pointQ.x, Px)
        self.assertEqual(key.pointQ.y, Py)

        point = EccPoint(Px, Py, "ed25519")
        key = EccKey(curve="Ed25519", seed=seed, point=point)
        self.assertEqual(key.d, 36144925721603087658594284515452164870581325872720374094707712194495455132720)
        self.assertTrue(key.has_private())
        self.assertEqual(key.pointQ, point)

        # Other names
        key = EccKey(curve="ed25519", seed=seed)

        # Must not accept d parameter
        self.assertRaises(ValueError, EccKey, curve="ed25519", d=1)

    def test_public_key(self):
        point = EccPoint(_curves['ed25519'].Gx, _curves['ed25519'].Gy, curve='ed25519')
        key = EccKey(curve="ed25519", point=point)
        self.assertFalse(key.has_private())
        self.assertEqual(key.pointQ, point)

    def test_public_key_derived(self):
        priv_key = EccKey(curve="ed25519", seed=b'H'*32)
        pub_key = priv_key.public_key()
        self.assertFalse(pub_key.has_private())
        self.assertEqual(priv_key.pointQ, pub_key.pointQ)

    def test_invalid_seed(self):
        self.assertRaises(ValueError, lambda: EccKey(curve="ed25519", seed=b'H' * 31))

    def test_equality(self):
        private_key = ECC.construct(seed=b'H'*32, curve="Ed25519")
        private_key2 = ECC.construct(seed=b'H'*32, curve="ed25519")
        private_key3 = ECC.construct(seed=b'C'*32, curve="Ed25519")

        public_key = private_key.public_key()
        public_key2 = private_key2.public_key()
        public_key3 = private_key3.public_key()

        self.assertEqual(private_key, private_key2)
        self.assertNotEqual(private_key, private_key3)

        self.assertEqual(public_key, public_key2)
        self.assertNotEqual(public_key, public_key3)

        self.assertNotEqual(public_key, private_key)

    def test_name_consistency(self):
        key = ECC.generate(curve='ed25519')
        self.assertIn("curve='Ed25519'", repr(key))
        self.assertEqual(key.curve, 'Ed25519')
        self.assertEqual(key.public_key().curve, 'Ed25519')


class TestEccModule_Ed25519(unittest.TestCase):

    def test_generate(self):
        key = ECC.generate(curve="Ed25519")
        self.assertTrue(key.has_private())
        point = EccPoint(_curves['Ed25519'].Gx, _curves['Ed25519'].Gy, curve="Ed25519") * key.d
        self.assertEqual(key.pointQ, point)

        # Always random
        key2 = ECC.generate(curve="Ed25519")
        self.assertNotEqual(key, key2)

        # Other names
        ECC.generate(curve="Ed25519")

        # Random source
        key1 = ECC.generate(curve="Ed25519", randfunc=SHAKE128.new().read)
        key2 = ECC.generate(curve="Ed25519", randfunc=SHAKE128.new().read)
        self.assertEqual(key1, key2)

    def test_construct(self):
        seed = unhexlify("9d61b19deffd5a60ba844af492ec2cc44449c5697b326919703bac031cae7f60")
        Px = 38815646466658113194383306759739515082307681141926459231621296960732224964046
        Py = 11903303657706407974989296177215005343713679411332034699907763981919547054807
        d = 36144925721603087658594284515452164870581325872720374094707712194495455132720
        point = EccPoint(Px, Py, curve="Ed25519")

        # Private key only
        key = ECC.construct(curve="Ed25519", seed=seed)
        self.assertEqual(key.pointQ, point)
        self.assertTrue(key.has_private())

        # Public key only
        key = ECC.construct(curve="Ed25519", point_x=Px, point_y=Py)
        self.assertEqual(key.pointQ, point)
        self.assertFalse(key.has_private())

        # Private and public key
        key = ECC.construct(curve="Ed25519", seed=seed, point_x=Px, point_y=Py)
        self.assertEqual(key.pointQ, point)
        self.assertTrue(key.has_private())

        # Other names
        key = ECC.construct(curve="ed25519", seed=seed)

    def test_negative_construct(self):
        coord = dict(point_x=10, point_y=4)
        coordG = dict(point_x=_curves['ed25519'].Gx, point_y=_curves['ed25519'].Gy)

        self.assertRaises(ValueError, ECC.construct, curve="Ed25519", **coord)
        self.assertRaises(ValueError, ECC.construct, curve="Ed25519", d=2, **coordG)
        self.assertRaises(ValueError, ECC.construct, curve="Ed25519", seed=b'H'*31)


def get_tests(config={}):
    tests = []
    tests += list_test_cases(TestEccPoint_Ed25519)
    tests += list_test_cases(TestEccKey_Ed25519)
    tests += list_test_cases(TestEccModule_Ed25519)
    return tests


if __name__ == '__main__':
    def suite():
        return unittest.TestSuite(get_tests())
    unittest.main(defaultTest='suite')

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