/* ecdh-test.c Copyright (C) 2014 Niels Möller This file is part of GNU Nettle. GNU Nettle is free software: you can redistribute it and/or modify it under the terms of either: * the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. or * the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. or both in parallel, as here. GNU Nettle is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received copies of the GNU General Public License and the GNU Lesser General Public License along with this program. If not, see http://www.gnu.org/licenses/. */ #include "testutils.h" static int set_point (struct ecc_point *p, const char *x, const char *y) { mpz_t X, Y; int ret; mpz_init_set_str (X, x, 0); mpz_init_set_str (Y, y, 0); ret = ecc_point_set (p, X, Y); mpz_clear (X); mpz_clear (Y); return ret; } static void set_scalar (struct ecc_scalar *s, const char *x) { mpz_t X; mpz_init_set_str (X, x, 0); if (!ecc_scalar_set (s, X)) abort (); mpz_clear (X); } static void check_point (const char *name, const char *label, const struct ecc_point *P, const struct ecc_point *R) { mpz_t px, py, rx, ry; mpz_init (px); mpz_init (py); mpz_init (rx); mpz_init (ry); ecc_point_get (P, px, py); ecc_point_get (R, rx, ry); /* FIXME: Should have a public point compare function */ if (mpz_cmp (px, rx) != 0 || mpz_cmp (py, ry) != 0) { fprintf (stderr, "Failed %s %s\np_x = ", name, label); mpz_out_str (stderr, 10, px); fprintf (stderr, "\nr_x = "); mpz_out_str (stderr, 10, rx); fprintf (stderr, " (expected)\np_y = "); mpz_out_str (stderr, 10, py); fprintf (stderr, "\nr_y = "); mpz_out_str (stderr, 10, ry); fprintf (stderr, " (expected)\n"); abort (); } mpz_clear (px); mpz_clear (py); mpz_clear (rx); mpz_clear (ry); } static void test_dh (const char *name, const struct ecc_curve *ecc, const char *a_priv, const char *ax, const char *ay, const char *b_priv, const char *bx, const char *by, const char *sx, const char *sy) { struct ecc_point A, B, S, T; struct ecc_scalar A_priv, B_priv; ecc_scalar_init (&A_priv, ecc); set_scalar (&A_priv, a_priv); ecc_point_init (&A, ecc); ASSERT (set_point (&A, ax, ay)); ecc_scalar_init (&B_priv, ecc); set_scalar (&B_priv, b_priv); ecc_point_init (&B, ecc); ASSERT (set_point (&B, bx, by)); ecc_point_init (&S, ecc); ASSERT (set_point (&S, sx, sy)); ecc_point_init (&T, ecc); ecc_point_mul_g (&T, &A_priv); check_point (name, "a g", &T, &A); ecc_point_mul (&T, &B_priv, &T); check_point (name, "b (a g)", &T, &S); ecc_point_mul_g (&T, &B_priv); check_point (name, "b g", &T, &B); ecc_point_mul (&T, &A_priv, &T); check_point (name, "a (b g)", &T, &S); ecc_scalar_clear (&A_priv); ecc_scalar_clear (&B_priv); ecc_point_clear (&A); ecc_point_clear (&B); ecc_point_clear (&S); ecc_point_clear (&T); } static void test_public_key (const char *label, const struct ecc_curve *ecc, const char *x, const char *y, int expect_success) { struct ecc_point P; int ret; ecc_point_init (&P, ecc); ret = set_point (&P, x, y); if (!ret && expect_success) die ("Test point '%s' not on curve!\n", label); if (ret && !expect_success) die ("Expected failure to set point '%s'!", label); ecc_point_clear (&P); } void test_main(void) { test_public_key ("(0,0) with secp-192r1", &_nettle_secp_192r1, "0", "0", 0); test_public_key ( "(P,0) with secp-192r1", &_nettle_secp_192r1, "6277101735386680763835789423207666416083908700390324961279", "0", 0); test_public_key ( "(0,P) with secp-192r1", &_nettle_secp_192r1, "0", "6277101735386680763835789423207666416083908700390324961279", 0); test_public_key ( "(P,P) with secp-192r1", &_nettle_secp_192r1, "6277101735386680763835789423207666416083908700390324961279", "6277101735386680763835789423207666416083908700390324961279", 0); test_public_key ("(1,2) with secp-192r1", &_nettle_secp_192r1, "1", "2", 0); test_public_key ("(X,Y) with secp-192r1", &_nettle_secp_192r1, "1050363442265225480786760666329560655512990381040021438562", "5298249600854377235107392014200406283816103564916230704184", 1); test_dh ("secp-192r1", &_nettle_secp_192r1, "3406157206141798348095184987208239421004566462391397236532", "1050363442265225480786760666329560655512990381040021438562", "5298249600854377235107392014200406283816103564916230704184", "738368960171459956677260317271477822683777845013274506165", "2585840779771604687467445319428618542927556223024046979917", "293088185788565313717816218507714888251468410990708684573", "149293809021051532782730990145509724807636529827149481690", "2891131861147398318714693938158856874319184314120776776192"); test_dh ("secp-224r1", &_nettle_secp_224r1, "1321072106881784386340709783538698930880431939595776773514895067682", "6768311794185371282972144247871764855860666277647541840973645586477", "2880077809069104378181313860274147139049600284805670362929579614547", "13934723037778859565852601874354272638301919827851286722006496784914", "373124771833407982305885866158843810218322878380632071540538232035", "24223309755162432227459925493224336241652868856405241018762887667883", "8330362698029245839097779050425944245826040430538860338085968752913", "24167244512472228715617822000878192535267113543393576038737592837010"); test_dh ("secp-256r1", &_nettle_secp_256r1, "94731533361265297353914491124013058635674217345912524033267198103710636378786", "22441589863306126152768848344973918725077248391248404659242620344938484650846", "8673475622926171928656873398933611700804732317466515884933832073457396747355", "97657865959185011849283028361556797595752581630732610898393589042714626616209", "18453500628354973083413728373777272885280811435138222441593126858566687017580", "14365748655141740924607822284126054269177292284541187981786689038777833170313", "102958799567030688009123101477538973715497039396202015119148334812951370853564", "29188877854984806245046208182450375893010623119030341548941791125497546766367"); test_dh ("secp-384r1", &_nettle_secp_384r1, "39086550219018474560700767788227987514008150214902287969462741484831311917159729009715909108606822193356890811565070", "15536343869384820642787280162462493474000839389760580357050317691132784247078954166759523572989472049798969369413707", "23268351460749985365652822073294615614961429585671989812206213135127969284347174876010177880230302801199500921999966", "36869963309577906178833120963925446333578086292605692048464445726274368063284094788012795873582576522541658781990645", "6571571183519639697971973492227725184968062063941037806786906539419849188357322949908539215960508669158121817812397", "36555212611228586427448926841660565534959679681904941933188284044726925984417589749068550977832780023128545833460008", "27780263733159299625371532605243698753833039933618994121416145881861678645978369807598146716869504289033472077532789", "12327518461490664021199432424728005314646140038116972426756705356672414772151215711157356913456651047992140493843405"); test_dh ("secp-521r1", &_nettle_secp_521r1, "1177787298234877762125077260641419691552146813662613924864132680693789861345339466386194840381422980702458955378518702648732728796955434922249345867267377826", "3168153642368000846168628288850857848098131369578410603904155841373678828215434925507474033105518841999665785152501356092020415699294327720257651796364374116", "278603899104240796379373331240296114411332466119196525390128418935585486485808560319073463912513286987331907013829243645911963547435764718505394265715321106", "4632844957395758597246278843156350179301194123641664447791935593091018103746003967476919616681982477804041933745387575872964923485212972039478646226080044590", "3278857364905061449863537070675297207767865967146919975942590789168732752489407699106980407552332044280575891715425195464227794423128203118286002006478070253", "4488572162727491199625798812850846214916160870437505769058530973184916706326908828109446998319674522651965593412129100088877891410841200092694907512496020182", "2126311732129869456512627735193938710331935978955001830871465201548004444073866677974896970734635601049909886616595755762740651165670628002084824920216966370", "4803556648772727869384704240411011976585308117802975396033423138930126997561438092192867119930177133880625991019440171972612468402200399449807843995563872782"); /* NOTE: This isn't the standard way to do curve25519 diffie-hellman, but it tests that the ecc_point interface works also with curve25519. */ test_dh ("curve25519", &_nettle_curve25519, "238301186166219052901200372289459967515481170332211409964804596991365959539", "14283836751943535877833976277675258994717521964638468784408792140505262281235", "43912344711849354965202408139054167824861850336739416536288592824181793690574", "3795950278952272509684177709511717492358770264218705926196469999516028451559", "9468726108732441384988851273894214794301501512287024874346147472389705411936", "38072138078045635808869930165213470653418146012939584392304609812494425185763", "10481077163111981870382976851703705086808805457403127024129174358161599078055", "29260211489972704256554624312266763530759418996739976957020673870747051409679"); /* NOTE: This isn't the standard way to do curve448 diffie-hellman, but it tests that the ecc_point interface works also with curve448. */ test_dh ("curve448", &_nettle_curve448, "129458936807933142766404648460937163205634163580407624950524900086792185737444124895392953822100034523565454893159084960036749128566328", "23903108874160330022289088207864530114505726115081678533913226179385920277612083777349117962138808929878378666596532036566924169949084", "693683143993815499711046966874265987454661213870193324674425656110752379002105414428569086535475560314058341102862207145978150379762153", "66424594649188102315894632429895338306697492782714758296415311427244880255966850729749965592839835963032731282879151354354178946253531", "411851112596680430188999894591634506976361833537024658040418853047370769553774913299417695327870642536912872558385293694714169201128264", "337433451779159274143076131600929733721586133908369086734805607026091240174740218929467625260731556550599267570314197354864315711490353", "224725768629972498035446273711269105191383993674106563435257119903436206484342709996926420948730961128941009070083709026343858723205213", "514544926219850986487923720424370435708360925070646212523588162169142573918197583804309386017625350764529605929374479238949748203847320"); }