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/*
* mpi-test.c
*
* This is a general test suite for the MPI library, which tests
* all the functions in the library with known values. The program
* exits with a zero (successful) status if the tests pass, or a
* nonzero status if the tests fail.
*
* This Source Code Form is subject to the terms of the Mozilla Public
* License, v. 2.0. If a copy of the MPL was not distributed with this
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <stdarg.h>
#include <limits.h>
#include <time.h>
#include "blapi.h"
#include "mpi.h"
#include "secmpi.h"
#include "mpprime.h"
#include "test-info.c"
/* ZS means Zero Suppressed (no leading zeros) */
#if MP_USE_LONG_DIGIT
#define ZS_DIGIT_FMT "%lX"
#elif MP_USE_LONG_LONG_DIGIT
#define ZS_DIGIT_FMT "%llX"
#elif MP_USE_UINT_DIGIT
#define ZS_DIGIT_FMT "%X"
#else
#error "unknown type of digit"
#endif
/*
Test vectors
If you intend to change any of these values, you must also recompute
the corresponding solutions below. Basically, these are just hex
strings (for the big integers) or integer values (for the digits).
The comparison tests think they know what relationships hold between
these values. If you change that, you may have to adjust the code
for the comparison tests accordingly. Most of the other tests
should be fine as long as you re-compute the solutions, though.
*/
const char *mp1 = "639A868CDA0C569861B";
const char *mp2 = "AAFC0A3FE45E5E09DBE2C29";
const char *mp3 = "B55AA8DF8A7E83241F38AC7A9E479CAEF2E4D7C5";
const char *mp4 = "-63DBC2265B88268DC801C10EA68476B7BDE0090F";
const char *mp5 = "F595CB42";
const char *mp5a = "-4B597E";
const char *mp6 = "0";
const char *mp7 = "EBFA7121CD838CE6439CC59DDB4CBEF3";
const char *mp8 = "5";
const char *mp9 = "F74A2876A1432698923B0767DA19DCF3D71795EE";
const char *mp10 = "9184E72A000";
const char *mp11 = "54D79A3557E8";
const char *mp12 = "10000000000000000";
const char *mp13 =
"34584F700C15A341E40BF7BFDD88A6630C8FF2B2067469372D391342BDAB6163963C"
"D5A5C79F708BDE26E0CCF2DB66CD6D6089E29A877C45F2B050D226E6DA88";
const char *mp14 =
"AC3FA0EABAAC45724814D798942A1E28E14C81E0DE8055CED630E7689DA648683645DB6E"
"458D9F5338CC3D4E33A5D1C9BF42780133599E60DEE0049AFA8F9489501AE5C9AA2B8C13"
"FD21285A538B2CA87A626BB56E0A654C8707535E637FF4E39174157402BDE3AA30C9F134"
"0C1307BAA864B075A9CC828B6A5E2B2BF1AE406D920CC5E7657D7C0E697DEE5375773AF9"
"E200A1B8FAD7CD141F9EE47ABB55511FEB9A4D99EBA22F3A3FF6792FA7EE9E5DC0EE94F7"
"7A631EDF3D7DD7C2DAAAFDF234D60302AB63D5234CEAE941B9AF0ADDD9E6E3A940A94EE5"
"5DB45A7C66E61EDD0477419BBEFA44C325129601C4F45671C6A0E64665DF341D17FBC71F"
"77418BD9F4375DDB3B9D56126526D8E5E0F35A121FD4F347013DA880020A752324F31DDD"
"9BCDB13A3B86E207A2DE086825E6EEB87B3A64232CFD8205B799BC018634AAE193F19531"
"D6EBC19A75F27CFFAA03EB5974898F53FD569AA5CE60F431B53B0CDE715A5F382405C9C4"
"761A8E24888328F09F7BCE4E8D80C957DF177629C8421ACCD0C268C63C0DD47C3C0D954F"
"D79F7D7297C6788DF4B3E51381759864D880ACA246DF09533739B8BB6085EAF7AE8DC2D9"
"F224E6874926C8D24D34B457FD2C9A586C6B99582DC24F787A39E3942786CF1D494B6EB4"
"A513498CDA0B217C4E80BCE7DA1C704C35E071AC21E0DA9F57C27C3533F46A8D20B04137"
"C1B1384BE4B2EB46";
const char *mp15 =
"39849CF7FD65AF2E3C4D87FE5526221103D90BA26A6642FFE3C3ECC0887BBBC57E011BF1"
"05D822A841653509C68F79EBE51C0099B8CBB04DEF31F36F5954208A3209AC122F0E11D8"
"4AE67A494D78336A2066D394D42E27EF6B03DDAF6D69F5112C93E714D27C94F82FC7EF77"
"445768C68EAE1C4A1407BE1B303243391D325090449764AE469CC53EC8012C4C02A72F37"
"07ED7275D2CC8D0A14B5BCC6BF264941520EBA97E3E6BAE4EE8BC87EE0DDA1F5611A6ECB"
"65F8AEF4F184E10CADBDFA5A2FEF828901D18C20785E5CC63473D638762DA80625003711"
"9E984AC43E707915B133543AF9D5522C3E7180DC58E1E5381C1FB7DC6A5F4198F3E88FA6"
"CBB6DFA8B2D1C763226B253E18BCCB79A29EE82D2DE735078C8AE3C3C86D476AAA08434C"
"09C274BDD40A1D8FDE38D6536C22F44E807EB73DE4FB36C9F51E0BC835DDBE3A8EFCF2FE"
"672B525769DC39230EE624D5EEDBD837C82A52E153F37378C3AD68A81A7ADBDF3345DBCE"
"8FA18CA1DE618EF94DF72EAD928D4F45B9E51632ACF158CF8332C51891D1D12C2A7E6684"
"360C4BF177C952579A9F442CFFEC8DAE4821A8E7A31C4861D8464CA9116C60866C5E72F7"
"434ADBED36D54ACDFDFF70A4EFB46E285131FE725F1C637D1C62115EDAD01C4189716327"
"BFAA79618B1656CBFA22C2C965687D0381CC2FE0245913C4D8D96108213680BD8E93E821"
"822AD9DDBFE4BD04";
const char *mp16 = "4A724340668DB150339A70";
const char *mp17 = "8ADB90F58";
const char *mp18 = "C64C230AB20E5";
const char *mp19 =
"F1C9DACDA287F2E3C88DCE2393B8F53DAAAC1196DC36510962B6B59454CFE64B";
const char *mp20 =
"D445662C8B6FE394107B867797750C326E0F4A967E135FC430F6CD7207913AC7";
const char *mp21 = "2";
const mp_digit md1 = 0;
const mp_digit md2 = 0x1;
const mp_digit md3 = 0x80;
const mp_digit md4 = 0x9C97;
const mp_digit md5 = 0xF5BF;
const mp_digit md6 = 0x14A0;
const mp_digit md7 = 0x03E8;
const mp_digit md8 = 0x0101;
const mp_digit md9 = 0xA;
/*
Solutions of the form x_mpABC, where:
x = (p)roduct, (s)um, (d)ifference, (q)uotient, (r)emainder, (g)cd,
(i)nverse, (e)xponent, square roo(t), (g)cd, (l)cm. A
leading 'm' indicates a modular operation, e.g. ms_mp12 is the
modular sum of operands 1 and 2
ABC are the operand numbers involved in the computation. If a 'd'
precedes the number, it is a digit operand; if a 'c' precedes it,
it is a constant; otherwise, it is a full integer.
*/
const char *p_mp12 = "4286AD72E095C9FE009938750743174ADDD7FD1E53";
const char *p_mp34 = "-46BDBD66CA108C94A8CF46C325F7B6E2F2BA82D35"
"A1BFD6934C441EE369B60CA29BADC26845E918B";
const char *p_mp57 = "E260C265A0A27C17AD5F4E59D6E0360217A2EBA6";
const char *p_mp22 = "7233B5C1097FFC77CCF55928FDC3A5D31B712FDE7A1E91";
const char *p_mp1d4 = "3CECEA2331F4220BEF68DED";
const char *p_mp8d6 = "6720";
const char *p_mp1113 =
"11590FC3831C8C3C51813142C88E566408DB04F9E27642F6471A1822E0100B12F7F1"
"5699A127C0FA9D26DCBFF458522661F30C6ADA4A07C8C90F9116893F6DBFBF24C3A2"
"4340";
const char *p_mp1415 =
"26B36540DE8B3586699CCEAE218A2842C7D5A01590E70C4A26E789107FBCDB06AA2C"
"6DDC39E6FA18B16FCB2E934C9A5F844DAD60EE3B1EA82199EC5E9608F67F860FB965"
"736055DF0E8F2540EB28D07F47E309B5F5D7C94FF190AB9C83A6970160CA700B1081"
"F60518132AF28C6CEE6B7C473E461ABAC52C39CED50A08DD4E7EA8BA18DAD545126D"
"A388F6983C29B6BE3F9DCBC15766E8E6D626A92C5296A9C4653CAE5788350C0E2107"
"F57E5E8B6994C4847D727FF1A63A66A6CEF42B9C9E6BD04C92550B85D5527DE8A132"
"E6BE89341A9285C7CE7FB929D871BBCBD0ED2863B6B078B0DBB30FCA66D6C64284D6"
"57F394A0271E15B6EC7A9D530EBAC6CA262EF6F97E1A29FCE7749240E4AECA591ECF"
"272122BC587370F9371B67BB696B3CDC1BC8C5B64B6280994EBA00CDEB8EB0F5D06E"
"18F401D65FDCECF23DD7B9BB5B4C5458AEF2CCC09BA7F70EACB844750ACFD027521E"
"2E047DE8388B35F8512D3DA46FF1A12D4260213602BF7BFFDB6059439B1BD0676449"
"8D98C74F48FB3F548948D5BA0C8ECFCD054465132DC43466D6BBD59FBAF8D6D4E157"
"2D612B40A956C7D3E140F3B8562EF18568B24D335707D5BAC7495014DF2444172426"
"FD099DED560D30D1F945386604AFC85C64BD1E5F531F5C7840475FC0CF0F79810012"
"4572BAF5A9910CDBD02B27FFCC3C7E5E88EF59F3AE152476E33EDA696A4F751E0AE4"
"A3D2792DEA78E25B9110E12A19EFD09EA47FF9D6594DA445478BEB6901EAF8A35B2D"
"FD59BEE9BF7AA8535B7D326EFA5AA2121B5EBE04DD85827A3D43BD04F4AA6D7B62A2"
"B6D7A3077286A511A431E1EF75FCEBA3FAE9D5843A8ED17AA02BBB1B571F904699C5"
"A6073F87DDD012E2322AB3F41F2A61F428636FE86914148E19B8EF8314ED83332F2F"
"8C2ADE95071E792C0A68B903E060DD322A75FD0C2B992059FCCBB58AFA06B50D1634"
"BBD93F187FCE0566609FCC2BABB269C66CEB097598AA17957BB4FDA3E64A1B30402E"
"851CF9208E33D52E459A92C63FBB66435BB018E155E2C7F055E0B7AB82CD58FC4889"
"372ED9EEAC2A07E8E654AB445B9298D2830D6D4DFD117B9C8ABE3968927DC24B3633"
"BAD6E6466DB45DDAE87A0AB00336AC2CCCE176704F7214FCAB55743AB76C2B6CA231"
"7984610B27B5786DE55C184DDF556EDFEA79A3652831940DAD941E243F482DC17E50"
"284BC2FB1AD712A92542C573E55678878F02DFD9E3A863C7DF863227AEDE14B47AD3"
"957190124820ADC19F5353878EDB6BF7D0C77352A6E3BDB53EEB88F5AEF6226D6E68"
"756776A8FB49B77564147A641664C2A54F7E5B680CCC6A4D22D894E464DF20537094"
"548F1732452F9E7F810C0B4B430C073C0FBCE03F0D03F82630654BCE166AA772E1EE"
"DD0C08D3E3EBDF0AF54203B43AFDFC40D8FC79C97A4B0A4E1BEB14D8FCEFDDED8758"
"6ED65B18";
const char *p_mp2121 = "4";
const char *mp_mp345 = "B9B6D3A3";
const char *mp_mp335 = "16609C2D";
const char *s_mp13 = "B55AA8DF8A7E83241F38B2B446B06A4FB84E5DE0";
const char *s_mp34 = "517EE6B92EF65C965736EB6BF7C325F73504CEB6";
const char *s_mp46 = "-63DBC2265B88268DC801C10EA68476B7BDE0090F";
const char *s_mp5d4 = "F59667D9";
const char *s_mp2d5 = "AAFC0A3FE45E5E09DBF21E8";
const char *s_mp1415 =
"E5C43DE2B811F4A084625F96E9504039E5258D8348E698CEB9F4D4292622042DB446"
"F75F4B65C1FB7A317257FA354BB5A45E789AEC254EAECE11F80A53E3B513822491DB"
"D9399DEC4807A2A3A10360129AC93F4A42388D3BF20B310DD0E9E9F4BE07FC88D53A"
"78A26091E0AB506A70813712CCBFBDD440A69A906E650EE090FDD6A42A95AC1A414D"
"317F1A9F781E6A30E9EE142ECDA45A1E3454A1417A7B9A613DA90831CF88EA1F2E82"
"41AE88CC4053220903C2E05BCDD42F02B8CF8868F84C64C5858BAD356143C5494607"
"EE22E11650148BAF65A985F6FC4CA540A55697F2B5AA95D6B8CF96EF638416DE1DD6"
"3BA9E2C09E22D03E75B60BE456C642F86B82A709253E5E087B507DE3A45F8392423F"
"4DBC284E8DC88C43CA77BC8DCEFB6129A59025F80F90FF978116DEBB9209E306FBB9"
"1B6111F8B8CFACB7C7C9BC12691C22EE88303E1713F1DFCEB622B8EA102F6365678B"
"C580ED87225467AA78E875868BD53B17574BA59305BC1AC666E4B7E9ED72FCFC200E"
"189D98FC8C5C7533739C53F52DDECDDFA5A8668BFBD40DABC9640F8FCAE58F532940"
"8162261320A25589E9FB51B50F80056471F24B7E1AEC35D1356FC2747FFC13A04B34"
"24FCECE10880BD9D97CA8CDEB2F5969BF4F30256EB5ED2BCD1DC64BDC2EE65217848"
"48A37FB13F84ED4FB7ACA18C4639EE64309BDD3D552AEB4AAF44295943DC1229A497"
"A84A";
const char *ms_mp345 = "1E71E292";
const char *d_mp12 = "-AAFBA6A55DD183FD854A60E";
const char *d_mp34 = "119366B05E606A9B1E73A6D8944CC1366B0C4E0D4";
const char *d_mp5d4 = "F5952EAB";
const char *d_mp6d2 = "-1";
const char *md_mp345 = "26596B86";
const char *q_mp42 = "-95825A1FFA1A155D5";
const char *r_mp42 = "-6312E99D7700A3DCB32ADF2";
const char *q_mp45a = "15344CDA3D841F661D2B61B6EDF7828CE36";
const char *r_mp45a = "-47C47B";
const char *q_mp7c2 = "75FD3890E6C1C67321CE62CEEDA65F79";
const char *q_mp3d6 = "8CAFD53C272BD6FE8B0847BDC3B539EFAB5C3";
const char *r_mp3d6 = "1E5";
const char *r_mp5d5 = "1257";
const char *r_mp47 = "B3A9018D970281A90FB729A181D95CB8";
const char *q_mp1404 =
"-1B994D869142D3EF6123A3CBBC3C0114FA071CFCEEF4B7D231D65591D32501AD80F"
"FF49AE4EC80514CC071EF6B42521C2508F4CB2FEAD69A2D2EF3934087DCAF88CC4C4"
"659F1CA8A7F4D36817D802F778F1392337FE36302D6865BF0D4645625DF8BB044E19"
"930635BE2609FAC8D99357D3A9F81F2578DE15A300964188292107DAC980E0A08CD7"
"E938A2135FAD45D50CB1D8C2D4C4E60C27AB98B9FBD7E4DBF752C57D2674520E4BB2"
"7E42324C0EFE84FB3E38CF6950E699E86FD45FE40D428400F2F94EDF7E94FAE10B45"
"89329E1BF61E5A378C7B31C9C6A234F8254D4C24823B84D0BF8D671D8BC9154DFAC9"
"49BD8ACABD6BD32DD4DC587F22C86153CB3954BDF7C2A890D623642492C482CF3E2C"
"776FC019C3BBC61688B485E6FD35D6376089C1E33F880E84C4E51E8ABEACE1B3FB70"
"3EAD0E28D2D44E7F1C0A859C840775E94F8C1369D985A3C5E8114B21D68B3CBB75D2"
"791C586153C85B90CAA483E57A40E2D97950AAB84920A4396C950C87C7FFFE748358"
"42A0BF65445B26D40F05BE164B822CA96321F41D85A289C5F5CD5F438A78704C9683"
"422299D21899A22F853B0C93081CC9925E350132A0717A611DD932A68A0ACC6E4C7F"
"7F685EF8C1F4910AEA5DC00BB5A36FCA07FFEAA490C547F6E14A08FE87041AB803E1"
"BD9E23E4D367A2C35762F209073DFF48F3";
const char *r_mp1404 = "12FF98621ABF63144BFFC3207AC8FC10D8D1A09";
const char *q_mp13c =
"34584F700C15A341E40BF7BFDD88A6630C8FF2B2067469372D391342"
"BDAB6163963CD5A5C79F708BDE26E0CCF2DB66CD6D6089E29A877C45";
const char *r_mp13c = "F2B050D226E6DA88";
const char *q_mp9c16 = "F74A2876A1432698923B0767DA19DCF3D71795E";
const char *r_mp9c16 = "E";
const char *e_mp5d9 = "A8FD7145E727A20E52E73D22990D35D158090307A"
"13A5215AAC4E9AB1E96BD34E531209E03310400";
const char *e_mp78 = "AA5F72C737DFFD8CCD108008BFE7C79ADC01A819B"
"32B75FB82EC0FB8CA83311DA36D4063F1E57857A2"
"1AB226563D84A15BB63CE975FF1453BD6750C58D9"
"D113175764F5D0B3C89B262D4702F4D9640A3";
const char *me_mp817 = "E504493ACB02F7F802B327AB13BF25";
const char *me_mp5d47 = "1D45ED0D78F2778157992C951DD2734C";
const char *me_mp1512 = "FB5B2A28D902B9D9";
const char *me_mp161718 = "423C6AC6DBD74";
const char *me_mp5114 =
"64F0F72807993578BBA3C7C36FFB184028F9EB9A810C92079E1498D8A80FC848E1F0"
"25F1DE43B7F6AC063F5CC29D8A7C2D7A66269D72BF5CDC327AF88AF8EF9E601DCB0A"
"3F35BFF3525FB1B61CE3A25182F17C0A0633B4089EA15BDC47664A43FEF639748AAC"
"19CF58E83D8FA32CD10661D2D4210CC84792937E6F36CB601851356622E63ADD4BD5"
"542412C2E0C4958E51FD2524AABDC7D60CFB5DB332EEC9DC84210F10FAE0BA2018F2"
"14C9D6867C9D6E49CF28C18D06CE009FD4D04BFC8837C3FAAA773F5CCF6DED1C22DE"
"181786AFE188540586F2D74BF312E595244E6936AE52E45742109BAA76C36F2692F5"
"CEF97AD462B138BE92721194B163254CBAAEE9B9864B21CCDD5375BCAD0D24132724"
"113D3374B4BCF9AA49BA5ACBC12288C0BCF46DCE6CB4A241A91BD559B130B6E9CD3D"
"D7A2C8B280C2A278BA9BF5D93244D563015C9484B86D9FEB602501DC16EEBC3EFF19"
"53D7999682BF1A1E3B2E7B21F4BDCA3C355039FEF55B9C0885F98DC355CA7A6D8ECF"
"5F7F1A6E11A764F2343C823B879B44616B56BF6AE3FA2ACF5483660E618882018E3F"
"C8459313BACFE1F93CECC37B2576A5C0B2714BD3EEDEEC22F0E7E3E77B11396B9B99"
"D683F2447A4004BBD4A57F6A616CDDFEC595C4FC19884CC2FC21CF5BF5B0B81E0F83"
"B9DDA0CF4DFF35BB8D31245912BF4497FD0BD95F0C604E26EA5A8EA4F5EAE870A5BD"
"FE8C";
const char *e_mpc2d3 = "100000000000000000000000000000000";
const char *t_mp9 = "FB9B6E32FF0452A34746";
const char *i_mp27 = "B6AD8DCCDAF92B6FE57D062FFEE3A99";
const char *i_mp2019 =
"BDF3D88DC373A63EED92903115B03FC8501910AF68297B4C41870AED3EA9F839";
/* "15E3FE09E8AE5523AABA197BD2D16318D3CA148EDF4AE1C1C52FC96AFAF5680B"; */
const char *t_mp15 =
"795853094E59B0008093BCA8DECF68587C64BDCA2F3F7F8963DABC12F1CFFFA9B8C4"
"365232FD4751870A0EF6CA619287C5D8B7F1747D95076AB19645EF309773E9EACEA0"
"975FA4AE16251A8DA5865349C3A903E3B8A2C0DEA3C0720B6020C7FED69AFF62BB72"
"10FAC443F9FFA2950776F949E819260C2AF8D94E8A1431A40F8C23C1973DE5D49AA2"
"0B3FF5DA5C1D5324E712A78FF33A9B1748F83FA529905924A31DF38643B3F693EF9B"
"58D846BB1AEAE4523ECC843FF551C1B300A130B65C1677402778F98C51C10813250E"
"2496882877B069E877B59740DC1226F18A5C0F66F64A5F59A9FAFC5E9FC45AEC0E7A"
"BEE244F7DD3AC268CF512A0E52E4F5BE5B94";
const char *g_mp71 = "1";
const char *g_mp25 = "7";
const char *l_mp1011 = "C589E3D7D64A6942A000";
/* mp9 in radices from 5 to 64 inclusive */
#define LOW_RADIX 5
#define HIGH_RADIX 64
const char *v_mp9[] = {
"404041130042310320100141302000203430214122130002340212132414134210033",
"44515230120451152500101352430105520150025145320010504454125502",
"644641136612541136016610100564613624243140151310023515322",
"173512120732412062323044435407317550316717172705712756",
"265785018434285762514442046172754680368422060744852",
"1411774500397290569709059837552310354075408897518",
"184064268501499311A17746095910428222A241708032A",
"47706011B225950B02BB45602AA039893118A85950892",
"1A188C826B982353CB58422563AC602B783101671A86",
"105957B358B89B018958908A9114BC3DDC410B77982",
"CB7B3387E23452178846C55DD9D70C7CA9AEA78E8",
"F74A2876A1432698923B0767DA19DCF3D71795EE",
"17BF7C3673B76D7G7A5GA836277296F806E7453A",
"2EBG8HH3HFA6185D6H0596AH96G24C966DD3HG2",
"6G3HGBFEG8I3F25EAF61B904EIA40CFDH2124F",
"10AHC3D29EBHDF3HD97905CG0JA8061855C3FI",
"3BA5A55J5K699B2D09C38A4B237CH51IHA132",
"EDEA90DJ0B5CB3FGG1C8587FEB99D3C143CA",
"31M26JI1BBD56K3I028MML4EEDMAJK60LGLE",
"GGG5M3142FKKG82EJ28111D70EMHC241E4E",
"4446F4D5H10982023N297BF0DKBBHLLJB0I",
"12E9DEEOBMKAKEP0IM284MIP7FO1O521M46",
"85NN0HD48NN2FDDB1F5BMMKIB8CK20MDPK",
"2D882A7A0O0JPCJ4APDRIB77IABAKDGJP2",
"MFMCI0R7S27AAA3O3L2S8K44HKA7O02CN",
"7IGQS73FFSHC50NNH44B6PTTNLC3M6H78",
"2KLUB3U9850CSN6ANIDNIF1LB29MJ43LH",
"UT52GTL18CJ9H4HR0TJTK6ESUFBHF5FE",
"BTVL87QQBMUGF8PFWU4W3VU7U922QTMW",
"4OG10HW0MSWJBIDEE2PDH24GA7RIHIAA",
"1W8W9AX2DRUX48GXOLMK0PE42H0FEUWN",
"SVWI84VBH069WR15W1U2VTK06USY8Z2",
"CPTPNPDa5TYCPPNLALENT9IMX2GL0W2",
"5QU21UJMRaUYYYYYN6GHSMPOYOXEEUY",
"2O2Q7C6RPPB1SXJ9bR4035SPaQQ3H2W",
"18d994IbT4PHbD7cGIPCRP00bbQO0bc",
"NcDUEEWRO7XT76260WGeBHPVa72RdA",
"BbX2WCF9VfSB5LPdJAdeXKV1fd6LC2",
"60QDKW67P4JSQaTdQg7JE9ISafLaVU",
"33ba9XbDbRdNF4BeDB2XYMhAVDaBdA",
"1RIPZJA8gT5L5H7fTcaRhQ39geMMTc",
"d65j70fBATjcDiidPYXUGcaBVVLME",
"LKA9jhPabDG612TXWkhfT2gMXNIP2",
"BgNaYhjfT0G8PBcYRP8khJCR3C9QE",
"6Wk8RhJTAgDh10fYAiUVB1aM0HacG",
"3dOCjaf78kd5EQNViUZWj3AfFL90I",
"290VWkL3aiJoW4MBbHk0Z0bDo22Ni",
"1DbDZ1hpPZNUDBUp6UigcJllEdC26",
"dFSOLBUM7UZX8Vnc6qokGIOiFo1h",
"NcoUYJOg0HVmKI9fR2ag0S8R2hrK",
"EOpiJ5Te7oDe2pn8ZhAUKkhFHlZh",
"8nXK8rp8neV8LWta1WDgd1QnlWsU",
"5T3d6bcSBtHgrH9bCbu84tblaa7r",
"3PlUDIYUvMqOVCir7AtquK5dWanq",
"2A70gDPX2AtiicvIGGk9poiMtgvu",
"1MjiRxjk10J6SVAxFguv9kZiUnIc",
"rpre2vIDeb4h3sp50r1YBbtEx9L",
"ZHcoip0AglDAfibrsUcJ9M1C8fm",
"NHP18+eoe6uU54W49Kc6ZK7+bT2",
"FTAA7QXGoQOaZi7PzePtFFN5vNk"
};
const unsigned char b_mp4[] = {
0x01,
#if MP_DIGIT_MAX > MP_32BIT_MAX
0x00, 0x00, 0x00, 0x00,
#endif
0x63, 0xDB, 0xC2, 0x26,
0x5B, 0x88, 0x26, 0x8D,
0xC8, 0x01, 0xC1, 0x0E,
0xA6, 0x84, 0x76, 0xB7,
0xBD, 0xE0, 0x09, 0x0F
};
/* Search for a test suite name in the names table */
int find_name(char *name);
void reason(char *fmt, ...);
/*------------------------------------------------------------------------*/
/*------------------------------------------------------------------------*/
char g_intbuf[4096]; /* buffer for integer comparison */
char a_intbuf[4096]; /* buffer for integer comparison */
int g_verbose = 1; /* print out reasons for failure? */
#define IFOK(x) \
{ \
int ifok_res = (x); \
if (MP_OKAY > ifok_res) { \
reason("test %s failed: error %d\n", #x, ifok_res); \
return 1; \
} \
}
int
main(int argc, char *argv[])
{
int which, res;
srand((unsigned int)time(NULL));
if (argc < 2) {
fprintf(stderr, "Usage: %s <test-suite> | list\n"
"Type '%s help' for assistance\n",
argv[0], argv[0]);
return 2;
} else if (argc > 2) {
if (strcmp(argv[2], "quiet") == 0)
g_verbose = 0;
}
if (strcmp(argv[1], "help") == 0) {
fprintf(stderr, "Help for mpi-test\n\n"
"This program is a test driver for the MPI library, which\n"
"tests all the various functions in the library to make sure\n"
"they are working correctly. The syntax is:\n"
" %s <suite-name>\n"
"...where <suite-name> is the name of the test you wish to\n"
"run. To get a list of the tests, use '%s list'.\n\n"
"The program exits with a status of zero if the test passes,\n"
"or non-zero if it fails. Ordinarily, failure is accompanied\n"
"by a diagnostic message to standard error. To suppress this\n"
"add the keyword 'quiet' after the suite-name on the command\n"
"line.\n\n",
argv[0], argv[0]);
return 0;
}
if ((which = find_name(argv[1])) < 0) {
fprintf(stderr, "%s: test suite '%s' is not known\n", argv[0], argv[1]);
return 2;
}
if ((res = (g_tests[which])()) < 0) {
fprintf(stderr, "%s: test suite not implemented yet\n", argv[0]);
return 2;
} else {
return res;
}
}
/*------------------------------------------------------------------------*/
int
find_name(char *name)
{
int ix = 0;
while (ix < g_count) {
if (strcmp(name, g_names[ix]) == 0)
return ix;
++ix;
}
return -1;
}
/*------------------------------------------------------------------------*/
int
test_list(void)
{
int ix;
fprintf(stderr, "There are currently %d test suites available\n",
g_count);
for (ix = 1; ix < g_count; ix++)
fprintf(stdout, "%-20s %s\n", g_names[ix], g_descs[ix]);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_copy(void)
{
mp_int a, b;
int ix;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp3, 16);
mp_copy(&a, &b);
if (SIGN(&a) != SIGN(&b) || USED(&a) != USED(&b)) {
if (SIGN(&a) != SIGN(&b)) {
reason("error: sign of original is %d, sign of copy is %d\n",
SIGN(&a), SIGN(&b));
} else {
reason("error: original precision is %d, copy precision is %d\n",
USED(&a), USED(&b));
}
mp_clear(&a);
mp_clear(&b);
return 1;
}
for (ix = 0; ix < USED(&b); ix++) {
if (DIGIT(&a, ix) != DIGIT(&b, ix)) {
reason("error: digit %d " DIGIT_FMT " != " DIGIT_FMT "\n",
ix, DIGIT(&a, ix), DIGIT(&b, ix));
mp_clear(&a);
mp_clear(&b);
return 1;
}
}
mp_clear(&a);
mp_clear(&b);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_exch(void)
{
mp_int a, b;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp7, 16);
mp_read_radix(&b, mp1, 16);
mp_exch(&a, &b);
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
if (strcmp(g_intbuf, mp1) != 0) {
mp_clear(&b);
reason("error: exchange failed\n");
return 1;
}
mp_toradix(&b, g_intbuf, 16);
mp_clear(&b);
if (strcmp(g_intbuf, mp7) != 0) {
reason("error: exchange failed\n");
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_zero(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp7, 16);
mp_zero(&a);
if (USED(&a) != 1 || DIGIT(&a, 1) != 0) {
mp_toradix(&a, g_intbuf, 16);
reason("error: result is %s\n", g_intbuf);
mp_clear(&a);
return 1;
}
mp_clear(&a);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_set(void)
{
mp_int a;
/* Test single digit set */
mp_init(&a);
mp_set(&a, 5);
if (DIGIT(&a, 0) != 5) {
mp_toradix(&a, g_intbuf, 16);
reason("error: result is %s, expected 5\n", g_intbuf);
mp_clear(&a);
return 1;
}
/* Test integer set */
mp_set_int(&a, -4938110);
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
if (strcmp(g_intbuf, mp5a) != 0) {
reason("error: result is %s, expected %s\n", g_intbuf, mp5a);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_abs(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp4, 16);
mp_abs(&a, &a);
if (SIGN(&a) != ZPOS) {
reason("error: sign of result is negative\n");
mp_clear(&a);
return 1;
}
mp_clear(&a);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_neg(void)
{
mp_int a;
mp_sign s;
mp_init(&a);
mp_read_radix(&a, mp4, 16);
s = SIGN(&a);
mp_neg(&a, &a);
if (SIGN(&a) == s) {
reason("error: sign of result is same as sign of nonzero input\n");
mp_clear(&a);
return 1;
}
mp_clear(&a);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_add_d(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp5, 16);
mp_add_d(&a, md4, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, s_mp5d4) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, s_mp5d4);
mp_clear(&a);
return 1;
}
mp_read_radix(&a, mp2, 16);
mp_add_d(&a, md5, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, s_mp2d5) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, s_mp2d5);
mp_clear(&a);
return 1;
}
mp_clear(&a);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_add(void)
{
mp_int a, b;
int res = 0;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp1, 16);
mp_read_radix(&b, mp3, 16);
mp_add(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, s_mp13) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, s_mp13);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp4, 16);
mp_add(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, s_mp34) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, s_mp34);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp4, 16);
mp_read_radix(&b, mp6, 16);
mp_add(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, s_mp46) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, s_mp46);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp14, 16);
mp_read_radix(&b, mp15, 16);
mp_add(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, s_mp1415) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, s_mp1415);
res = 1;
}
CLEANUP:
mp_clear(&a);
mp_clear(&b);
return res;
}
/*------------------------------------------------------------------------*/
int
test_sub_d(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp5, 16);
mp_sub_d(&a, md4, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, d_mp5d4) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, d_mp5d4);
mp_clear(&a);
return 1;
}
mp_read_radix(&a, mp6, 16);
mp_sub_d(&a, md2, &a);
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
if (strcmp(g_intbuf, d_mp6d2) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, d_mp6d2);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_sub(void)
{
mp_int a, b;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp1, 16);
mp_read_radix(&b, mp2, 16);
mp_sub(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, d_mp12) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, d_mp12);
mp_clear(&a);
mp_clear(&b);
return 1;
}
mp_read_radix(&a, mp3, 16);
mp_read_radix(&b, mp4, 16);
mp_sub(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, d_mp34) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, d_mp34);
mp_clear(&a);
mp_clear(&b);
return 1;
}
mp_clear(&a);
mp_clear(&b);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_mul_d(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp1, 16);
IFOK(mp_mul_d(&a, md4, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, p_mp1d4) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp1d4);
mp_clear(&a);
return 1;
}
mp_read_radix(&a, mp8, 16);
IFOK(mp_mul_d(&a, md6, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
if (strcmp(g_intbuf, p_mp8d6) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp8d6);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_mul(void)
{
mp_int a, b;
int res = 0;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp1, 16);
mp_read_radix(&b, mp2, 16);
IFOK(mp_mul(&a, &b, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, p_mp12) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp12);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp3, 16);
mp_read_radix(&b, mp4, 16);
IFOK(mp_mul(&a, &b, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, p_mp34) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp34);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp5, 16);
mp_read_radix(&b, mp7, 16);
IFOK(mp_mul(&a, &b, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, p_mp57) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp57);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp11, 16);
mp_read_radix(&b, mp13, 16);
IFOK(mp_mul(&a, &b, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, p_mp1113) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp1113);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp14, 16);
mp_read_radix(&b, mp15, 16);
IFOK(mp_mul(&a, &b, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, p_mp1415) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp1415);
res = 1;
}
mp_read_radix(&a, mp21, 10);
mp_read_radix(&b, mp21, 10);
IFOK(mp_mul(&a, &b, &a));
mp_toradix(&a, g_intbuf, 10);
if (strcmp(g_intbuf, p_mp2121) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp2121);
res = 1;
goto CLEANUP;
}
CLEANUP:
mp_clear(&a);
mp_clear(&b);
return res;
}
/*------------------------------------------------------------------------*/
int
test_sqr(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp2, 16);
mp_sqr(&a, &a);
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
if (strcmp(g_intbuf, p_mp22) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, p_mp22);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_div_d(void)
{
mp_int a, q;
mp_digit r;
int err = 0;
mp_init(&a);
mp_init(&q);
mp_read_radix(&a, mp3, 16);
IFOK(mp_div_d(&a, md6, &q, &r));
mp_toradix(&q, g_intbuf, 16);
if (strcmp(g_intbuf, q_mp3d6) != 0) {
reason("error: computed q = %s, expected %s\n", g_intbuf, q_mp3d6);
++err;
}
snprintf(g_intbuf, sizeof(g_intbuf), ZS_DIGIT_FMT, r);
if (strcmp(g_intbuf, r_mp3d6) != 0) {
reason("error: computed r = %s, expected %s\n", g_intbuf, r_mp3d6);
++err;
}
mp_read_radix(&a, mp9, 16);
IFOK(mp_div_d(&a, 16, &q, &r));
mp_toradix(&q, g_intbuf, 16);
if (strcmp(g_intbuf, q_mp9c16) != 0) {
reason("error: computed q = %s, expected %s\n", g_intbuf, q_mp9c16);
++err;
}
snprintf(g_intbuf, sizeof(g_intbuf), ZS_DIGIT_FMT, r);
if (strcmp(g_intbuf, r_mp9c16) != 0) {
reason("error: computed r = %s, expected %s\n", g_intbuf, r_mp9c16);
++err;
}
mp_clear(&a);
mp_clear(&q);
return err;
}
/*------------------------------------------------------------------------*/
int
test_div_2(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp7, 16);
IFOK(mp_div_2(&a, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
if (strcmp(g_intbuf, q_mp7c2) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, q_mp7c2);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_div_2d(void)
{
mp_int a, q, r;
mp_init(&q);
mp_init(&r);
mp_init(&a);
mp_read_radix(&a, mp13, 16);
IFOK(mp_div_2d(&a, 64, &q, &r));
mp_clear(&a);
mp_toradix(&q, g_intbuf, 16);
if (strcmp(g_intbuf, q_mp13c) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, q_mp13c);
mp_clear(&q);
mp_clear(&r);
return 1;
}
mp_clear(&q);
mp_toradix(&r, g_intbuf, 16);
if (strcmp(g_intbuf, r_mp13c) != 0) {
reason("error, computed %s, expected %s\n", g_intbuf, r_mp13c);
mp_clear(&r);
return 1;
}
mp_clear(&r);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_div(void)
{
mp_int a, b, r;
int err = 0;
mp_init(&a);
mp_init(&b);
mp_init(&r);
mp_read_radix(&a, mp4, 16);
mp_read_radix(&b, mp2, 16);
IFOK(mp_div(&a, &b, &a, &r));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, q_mp42) != 0) {
reason("error: test 1 computed quot %s, expected %s\n", g_intbuf, q_mp42);
++err;
}
mp_toradix(&r, g_intbuf, 16);
if (strcmp(g_intbuf, r_mp42) != 0) {
reason("error: test 1 computed rem %s, expected %s\n", g_intbuf, r_mp42);
++err;
}
mp_read_radix(&a, mp4, 16);
mp_read_radix(&b, mp5a, 16);
IFOK(mp_div(&a, &b, &a, &r));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, q_mp45a) != 0) {
reason("error: test 2 computed quot %s, expected %s\n", g_intbuf, q_mp45a);
++err;
}
mp_toradix(&r, g_intbuf, 16);
if (strcmp(g_intbuf, r_mp45a) != 0) {
reason("error: test 2 computed rem %s, expected %s\n", g_intbuf, r_mp45a);
++err;
}
mp_read_radix(&a, mp14, 16);
mp_read_radix(&b, mp4, 16);
IFOK(mp_div(&a, &b, &a, &r));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, q_mp1404) != 0) {
reason("error: test 3 computed quot %s, expected %s\n", g_intbuf, q_mp1404);
++err;
}
mp_toradix(&r, g_intbuf, 16);
if (strcmp(g_intbuf, r_mp1404) != 0) {
reason("error: test 3 computed rem %s, expected %s\n", g_intbuf, r_mp1404);
++err;
}
mp_clear(&a);
mp_clear(&b);
mp_clear(&r);
return err;
}
/*------------------------------------------------------------------------*/
int
test_expt_d(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp5, 16);
mp_expt_d(&a, md9, &a);
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
if (strcmp(g_intbuf, e_mp5d9) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, e_mp5d9);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_expt(void)
{
mp_int a, b;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp7, 16);
mp_read_radix(&b, mp8, 16);
mp_expt(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&b);
if (strcmp(g_intbuf, e_mp78) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, e_mp78);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_2expt(void)
{
mp_int a;
mp_init(&a);
mp_2expt(&a, md3);
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
if (strcmp(g_intbuf, e_mpc2d3) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, e_mpc2d3);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_mod_d(void)
{
mp_int a;
mp_digit r;
mp_init(&a);
mp_read_radix(&a, mp5, 16);
IFOK(mp_mod_d(&a, md5, &r));
snprintf(g_intbuf, sizeof(g_intbuf), ZS_DIGIT_FMT, r);
mp_clear(&a);
if (strcmp(g_intbuf, r_mp5d5) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, r_mp5d5);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_mod(void)
{
mp_int a, m;
mp_init(&a);
mp_init(&m);
mp_read_radix(&a, mp4, 16);
mp_read_radix(&m, mp7, 16);
IFOK(mp_mod(&a, &m, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&m);
if (strcmp(g_intbuf, r_mp47) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, r_mp47);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_addmod(void)
{
mp_int a, b, m;
mp_init(&a);
mp_init(&b);
mp_init(&m);
mp_read_radix(&a, mp3, 16);
mp_read_radix(&b, mp4, 16);
mp_read_radix(&m, mp5, 16);
IFOK(mp_addmod(&a, &b, &m, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&b);
mp_clear(&m);
if (strcmp(g_intbuf, ms_mp345) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, ms_mp345);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_submod(void)
{
mp_int a, b, m;
mp_init(&a);
mp_init(&b);
mp_init(&m);
mp_read_radix(&a, mp3, 16);
mp_read_radix(&b, mp4, 16);
mp_read_radix(&m, mp5, 16);
IFOK(mp_submod(&a, &b, &m, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&b);
mp_clear(&m);
if (strcmp(g_intbuf, md_mp345) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, md_mp345);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_mulmod(void)
{
mp_int a, b, m;
mp_init(&a);
mp_init(&b);
mp_init(&m);
mp_read_radix(&a, mp3, 16);
mp_read_radix(&b, mp4, 16);
mp_read_radix(&m, mp5, 16);
IFOK(mp_mulmod(&a, &b, &m, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&b);
mp_clear(&m);
if (strcmp(g_intbuf, mp_mp345) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, mp_mp345);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_sqrmod(void)
{
mp_int a, m;
mp_init(&a);
mp_init(&m);
mp_read_radix(&a, mp3, 16);
mp_read_radix(&m, mp5, 16);
IFOK(mp_sqrmod(&a, &m, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&m);
if (strcmp(g_intbuf, mp_mp335) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, mp_mp335);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_exptmod(void)
{
mp_int a, b, m;
int res = 0;
mp_init(&a);
mp_init(&b);
mp_init(&m);
mp_read_radix(&a, mp8, 16);
mp_read_radix(&b, mp1, 16);
mp_read_radix(&m, mp7, 16);
IFOK(mp_exptmod(&a, &b, &m, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, me_mp817) != 0) {
reason("case 1: error: computed %s, expected %s\n", g_intbuf, me_mp817);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp1, 16);
mp_read_radix(&b, mp5, 16);
mp_read_radix(&m, mp12, 16);
IFOK(mp_exptmod(&a, &b, &m, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, me_mp1512) != 0) {
reason("case 2: error: computed %s, expected %s\n", g_intbuf, me_mp1512);
res = 1;
goto CLEANUP;
}
mp_read_radix(&a, mp5, 16);
mp_read_radix(&b, mp1, 16);
mp_read_radix(&m, mp14, 16);
IFOK(mp_exptmod(&a, &b, &m, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, me_mp5114) != 0) {
reason("case 3: error: computed %s, expected %s\n", g_intbuf, me_mp5114);
res = 1;
}
mp_read_radix(&a, mp16, 16);
mp_read_radix(&b, mp17, 16);
mp_read_radix(&m, mp18, 16);
IFOK(mp_exptmod(&a, &b, &m, &a));
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, me_mp161718) != 0) {
reason("case 4: error: computed %s, expected %s\n", g_intbuf, me_mp161718);
res = 1;
}
CLEANUP:
mp_clear(&a);
mp_clear(&b);
mp_clear(&m);
return res;
}
/*------------------------------------------------------------------------*/
int
test_exptmod_d(void)
{
mp_int a, m;
mp_init(&a);
mp_init(&m);
mp_read_radix(&a, mp5, 16);
mp_read_radix(&m, mp7, 16);
IFOK(mp_exptmod_d(&a, md4, &m, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&m);
if (strcmp(g_intbuf, me_mp5d47) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, me_mp5d47);
return 1;
}
return 0;
}
/*------------------------------------------------------------------------*/
int
test_invmod(void)
{
mp_int a, m, c;
mp_int p1, p2, p3, p4, p5;
mp_int t1, t2, t3, t4;
mp_err res;
/* 5 128-bit primes. */
static const char ivp1[] = { "AAD8A5A2A2BEF644BAEE7DB0CA643719" };
static const char ivp2[] = { "CB371AD2B79A90BCC88D0430663E40B9" };
static const char ivp3[] = { "C6C818D4DF2618406CA09280C0400099" };
static const char ivp4[] = { "CE949C04512E68918006B1F0D7E93F27" };
static const char ivp5[] = { "F8EE999B6416645040687440E0B89F51" };
mp_init(&a);
mp_init(&m);
mp_read_radix(&a, mp2, 16);
mp_read_radix(&m, mp7, 16);
IFOK(mp_invmod(&a, &m, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&m);
if (strcmp(g_intbuf, i_mp27) != 0) {
reason("error: invmod test 1 computed %s, expected %s\n", g_intbuf, i_mp27);
return 1;
}
mp_init(&a);
mp_init(&m);
mp_read_radix(&a, mp20, 16);
mp_read_radix(&m, mp19, 16);
IFOK(mp_invmod(&a, &m, &a));
mp_toradix(&a, g_intbuf, 16);
mp_clear(&a);
mp_clear(&m);
if (strcmp(g_intbuf, i_mp2019) != 0) {
reason("error: invmod test 2 computed %s, expected %s\n", g_intbuf, i_mp2019);
return 1;
}
/* Need the following test cases:
Odd modulus
- a is odd, relatively prime to m
- a is odd, not relatively prime to m
- a is even, relatively prime to m
- a is even, not relatively prime to m
Even modulus
- a is even (should fail)
- a is odd, not relatively prime to m
- a is odd, relatively prime to m,
m is not a power of 2
- m has factor 2**k, k < 32
- m has factor 2**k, k > 32
m is a power of 2, 2**k
- k < 32
- k > 32
*/
mp_init(&a);
mp_init(&m);
mp_init(&c);
mp_init(&p1);
mp_init(&p2);
mp_init(&p3);
mp_init(&p4);
mp_init(&p5);
mp_init(&t1);
mp_init(&t2);
mp_init(&t3);
mp_init(&t4);
mp_read_radix(&p1, ivp1, 16);
mp_read_radix(&p2, ivp2, 16);
mp_read_radix(&p3, ivp3, 16);
mp_read_radix(&p4, ivp4, 16);
mp_read_radix(&p5, ivp5, 16);
IFOK(mp_2expt(&t2, 68)); /* t2 = 2**68 */
IFOK(mp_2expt(&t3, 128)); /* t3 = 2**128 */
IFOK(mp_2expt(&t4, 31)); /* t4 = 2**31 */
/* test 3: Odd modulus - a is odd, relatively prime to m */
IFOK(mp_mul(&p1, &p2, &a));
IFOK(mp_mul(&p3, &p4, &m));
IFOK(mp_invmod(&a, &m, &t1));
IFOK(mp_invmod_xgcd(&a, &m, &c));
if (mp_cmp(&t1, &c) != 0) {
mp_toradix(&t1, g_intbuf, 16);
mp_toradix(&c, a_intbuf, 16);
reason("error: invmod test 3 computed %s, expected %s\n",
g_intbuf, a_intbuf);
return 1;
}
mp_clear(&a);
mp_clear(&t1);
mp_clear(&c);
mp_init(&a);
mp_init(&t1);
mp_init(&c);
/* test 4: Odd modulus - a is odd, NOT relatively prime to m */
IFOK(mp_mul(&p1, &p3, &a));
/* reuse same m as before */
res = mp_invmod_xgcd(&a, &m, &c);
if (res != MP_UNDEF)
goto CLEANUP4;
res = mp_invmod(&a, &m, &t1); /* we expect this to fail. */
if (res != MP_UNDEF) {
CLEANUP4:
reason("error: invmod test 4 succeeded, should have failed.\n");
return 1;
}
mp_clear(&a);
mp_clear(&t1);
mp_clear(&c);
mp_init(&a);
mp_init(&t1);
mp_init(&c);
/* test 5: Odd modulus - a is even, relatively prime to m */
IFOK(mp_mul(&p1, &t2, &a));
/* reuse m */
IFOK(mp_invmod(&a, &m, &t1));
IFOK(mp_invmod_xgcd(&a, &m, &c));
if (mp_cmp(&t1, &c) != 0) {
mp_toradix(&t1, g_intbuf, 16);
mp_toradix(&c, a_intbuf, 16);
reason("error: invmod test 5 computed %s, expected %s\n",
g_intbuf, a_intbuf);
return 1;
}
mp_clear(&a);
mp_clear(&t1);
mp_clear(&c);
mp_init(&a);
mp_init(&t1);
mp_init(&c);
/* test 6: Odd modulus - a is odd, NOT relatively prime to m */
/* reuse t2 */
IFOK(mp_mul(&t2, &p3, &a));
/* reuse same m as before */
res = mp_invmod_xgcd(&a, &m, &c);
if (res != MP_UNDEF)
goto CLEANUP6;
res = mp_invmod(&a, &m, &t1); /* we expect this to fail. */
if (res != MP_UNDEF) {
CLEANUP6:
reason("error: invmod test 6 succeeded, should have failed.\n");
return 1;
}
mp_clear(&a);
mp_clear(&m);
mp_clear(&c);
mp_clear(&t1);
mp_init(&a);
mp_init(&m);
mp_init(&c);
mp_init(&t1);
/* test 7: Even modulus, even a, should fail */
IFOK(mp_mul(&p3, &t3, &m)); /* even m */
/* reuse t2 */
IFOK(mp_mul(&p1, &t2, &a)); /* even a */
res = mp_invmod_xgcd(&a, &m, &c);
if (res != MP_UNDEF)
goto CLEANUP7;
res = mp_invmod(&a, &m, &t1); /* we expect this to fail. */
if (res != MP_UNDEF) {
CLEANUP7:
reason("error: invmod test 7 succeeded, should have failed.\n");
return 1;
}
mp_clear(&a);
mp_clear(&c);
mp_clear(&t1);
mp_init(&a);
mp_init(&c);
mp_init(&t1);
/* test 8: Even modulus - a is odd, not relatively prime to m */
/* reuse m */
IFOK(mp_mul(&p3, &p1, &a)); /* even a */
res = mp_invmod_xgcd(&a, &m, &c);
if (res != MP_UNDEF)
goto CLEANUP8;
res = mp_invmod(&a, &m, &t1); /* we expect this to fail. */
if (res != MP_UNDEF) {
CLEANUP8:
reason("error: invmod test 8 succeeded, should have failed.\n");
return 1;
}
mp_clear(&a);
mp_clear(&m);
mp_clear(&c);
mp_clear(&t1);
mp_init(&a);
mp_init(&m);
mp_init(&c);
mp_init(&t1);
/* test 9: Even modulus - m has factor 2**k, k < 32
* - a is odd, relatively prime to m,
*/
IFOK(mp_mul(&p3, &t4, &m)); /* even m */
IFOK(mp_mul(&p1, &p2, &a));
IFOK(mp_invmod(&a, &m, &t1));
IFOK(mp_invmod_xgcd(&a, &m, &c));
if (mp_cmp(&t1, &c) != 0) {
mp_toradix(&t1, g_intbuf, 16);
mp_toradix(&c, a_intbuf, 16);
reason("error: invmod test 9 computed %s, expected %s\n",
g_intbuf, a_intbuf);
return 1;
}
mp_clear(&m);
mp_clear(&t1);
mp_clear(&c);
mp_init(&m);
mp_init(&t1);
mp_init(&c);
/* test 10: Even modulus - m has factor 2**k, k > 32
* - a is odd, relatively prime to m,
*/
IFOK(mp_mul(&p3, &t3, &m)); /* even m */
/* reuse a */
IFOK(mp_invmod(&a, &m, &t1));
IFOK(mp_invmod_xgcd(&a, &m, &c));
if (mp_cmp(&t1, &c) != 0) {
mp_toradix(&t1, g_intbuf, 16);
mp_toradix(&c, a_intbuf, 16);
reason("error: invmod test 10 computed %s, expected %s\n",
g_intbuf, a_intbuf);
return 1;
}
mp_clear(&t1);
mp_clear(&c);
mp_init(&t1);
mp_init(&c);
/* test 11: Even modulus - m is a power of 2, 2**k | k < 32
* - a is odd, relatively prime to m,
*/
IFOK(mp_invmod(&a, &t4, &t1));
IFOK(mp_invmod_xgcd(&a, &t4, &c));
if (mp_cmp(&t1, &c) != 0) {
mp_toradix(&t1, g_intbuf, 16);
mp_toradix(&c, a_intbuf, 16);
reason("error: invmod test 11 computed %s, expected %s\n",
g_intbuf, a_intbuf);
return 1;
}
mp_clear(&t1);
mp_clear(&c);
mp_init(&t1);
mp_init(&c);
/* test 12: Even modulus - m is a power of 2, 2**k | k > 32
* - a is odd, relatively prime to m,
*/
IFOK(mp_invmod(&a, &t3, &t1));
IFOK(mp_invmod_xgcd(&a, &t3, &c));
if (mp_cmp(&t1, &c) != 0) {
mp_toradix(&t1, g_intbuf, 16);
mp_toradix(&c, a_intbuf, 16);
reason("error: invmod test 12 computed %s, expected %s\n",
g_intbuf, a_intbuf);
return 1;
}
mp_clear(&a);
mp_clear(&m);
mp_clear(&c);
mp_clear(&t1);
mp_clear(&t2);
mp_clear(&t3);
mp_clear(&t4);
mp_clear(&p1);
mp_clear(&p2);
mp_clear(&p3);
mp_clear(&p4);
mp_clear(&p5);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_cmp_d(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp8, 16);
if (mp_cmp_d(&a, md8) >= 0) {
reason("error: %s >= " DIGIT_FMT "\n", mp8, md8);
mp_clear(&a);
return 1;
}
mp_read_radix(&a, mp5, 16);
if (mp_cmp_d(&a, md8) <= 0) {
reason("error: %s <= " DIGIT_FMT "\n", mp5, md8);
mp_clear(&a);
return 1;
}
mp_read_radix(&a, mp6, 16);
if (mp_cmp_d(&a, md1) != 0) {
reason("error: %s != " DIGIT_FMT "\n", mp6, md1);
mp_clear(&a);
return 1;
}
mp_clear(&a);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_cmp_z(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp6, 16);
if (mp_cmp_z(&a) != 0) {
reason("error: someone thinks a zero value is non-zero\n");
mp_clear(&a);
return 1;
}
mp_read_radix(&a, mp1, 16);
if (mp_cmp_z(&a) <= 0) {
reason("error: someone thinks a positive value is non-positive\n");
mp_clear(&a);
return 1;
}
mp_read_radix(&a, mp4, 16);
if (mp_cmp_z(&a) >= 0) {
reason("error: someone thinks a negative value is non-negative\n");
mp_clear(&a);
return 1;
}
mp_clear(&a);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_cmp(void)
{
mp_int a, b;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp3, 16);
mp_read_radix(&b, mp4, 16);
if (mp_cmp(&a, &b) <= 0) {
reason("error: %s <= %s\n", mp3, mp4);
mp_clear(&a);
mp_clear(&b);
return 1;
}
mp_read_radix(&b, mp3, 16);
if (mp_cmp(&a, &b) != 0) {
reason("error: %s != %s\n", mp3, mp3);
mp_clear(&a);
mp_clear(&b);
return 1;
}
mp_read_radix(&a, mp5, 16);
if (mp_cmp(&a, &b) >= 0) {
reason("error: %s >= %s\n", mp5, mp3);
mp_clear(&a);
mp_clear(&b);
return 1;
}
mp_clear(&a);
mp_clear(&b);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_cmp_mag(void)
{
mp_int a, b;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp5, 16);
mp_read_radix(&b, mp4, 16);
if (mp_cmp_mag(&a, &b) >= 0) {
reason("error: %s >= %s\n", mp5, mp4);
mp_clear(&a);
mp_clear(&b);
return 1;
}
mp_read_radix(&b, mp5, 16);
if (mp_cmp_mag(&a, &b) != 0) {
reason("error: %s != %s\n", mp5, mp5);
mp_clear(&a);
mp_clear(&b);
return 1;
}
mp_read_radix(&a, mp1, 16);
if (mp_cmp_mag(&b, &a) >= 0) {
reason("error: %s >= %s\n", mp5, mp1);
mp_clear(&a);
mp_clear(&b);
return 1;
}
mp_clear(&a);
mp_clear(&b);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_parity(void)
{
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp1, 16);
if (!mp_isodd(&a)) {
reason("error: expected operand to be odd, but it isn't\n");
mp_clear(&a);
return 1;
}
mp_read_radix(&a, mp6, 16);
if (!mp_iseven(&a)) {
reason("error: expected operand to be even, but it isn't\n");
mp_clear(&a);
return 1;
}
mp_clear(&a);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_gcd(void)
{
mp_int a, b;
int out = 0;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp7, 16);
mp_read_radix(&b, mp1, 16);
mp_gcd(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, g_mp71) != 0) {
reason("error: computed %s, expected %s\n", g_intbuf, g_mp71);
out = 1;
}
mp_clear(&a);
mp_clear(&b);
return out;
}
/*------------------------------------------------------------------------*/
int
test_lcm(void)
{
mp_int a, b;
int out = 0;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp10, 16);
mp_read_radix(&b, mp11, 16);
mp_lcm(&a, &b, &a);
mp_toradix(&a, g_intbuf, 16);
if (strcmp(g_intbuf, l_mp1011) != 0) {
reason("error: computed %s, expected%s\n", g_intbuf, l_mp1011);
out = 1;
}
mp_clear(&a);
mp_clear(&b);
return out;
}
/*------------------------------------------------------------------------*/
int
test_convert(void)
{
int ix;
mp_int a;
mp_init(&a);
mp_read_radix(&a, mp9, 16);
for (ix = LOW_RADIX; ix <= HIGH_RADIX; ix++) {
mp_toradix(&a, g_intbuf, ix);
if (strcmp(g_intbuf, v_mp9[ix - LOW_RADIX]) != 0) {
reason("error: radix %d, computed %s, expected %s\n",
ix, g_intbuf, v_mp9[ix - LOW_RADIX]);
mp_clear(&a);
return 1;
}
}
mp_clear(&a);
return 0;
}
/*------------------------------------------------------------------------*/
int
test_raw(void)
{
int len, out = 0;
mp_int a;
mp_int b;
char *buf;
mp_init(&a);
mp_init(&b);
mp_read_radix(&a, mp4, 16);
len = mp_raw_size(&a);
if (len != sizeof(b_mp4)) {
reason("error: test_raw: expected length %d, computed %d\n", sizeof(b_mp4),
len);
mp_clear(&a);
return 1;
}
buf = calloc(len, sizeof(char));
mp_toraw(&a, buf);
if (memcmp(buf, b_mp4, sizeof(b_mp4)) != 0) {
reason("error: test_raw: binary output does not match test vector\n");
out = 1;
}
// read the binary output back and compare with the original number
memcpy(buf, b_mp4, sizeof(b_mp4));
mp_err read_err = mp_read_raw(&b, buf, sizeof(b_mp4));
if (read_err != MP_OKAY) {
reason("error: reading raw mp_int failed: %d\n", read_err);
out = 1;
}
if (mp_cmp(&a, &b) != 0) {
reason("error: test_raw: mp_int from read_raw does not match the original number\n");
out = 1;
}
free(buf);
mp_clear(&a);
mp_clear(&b);
return out;
}
/*------------------------------------------------------------------------*/
int
test_pprime(void)
{
mp_int p;
int err = 0;
mp_err res;
RNG_RNGInit();
mp_init(&p);
mp_read_radix(&p, mp7, 16);
if (mpp_pprime_secure(&p, 5) != MP_YES) {
reason("error: %s failed Rabin-Miller test, but is prime\n", mp7);
err = 1;
}
IFOK(mp_set_int(&p, 9));
res = mpp_pprime_secure(&p, 50);
if (res == MP_YES) {
reason("error: 9 is composite but passed Rabin-Miller test\n");
err = 1;
} else if (res != MP_NO) {
reason("test mpp_pprime_secure(9, 50) failed: error %d\n", res);
err = 1;
}
IFOK(mp_set_int(&p, 15));
res = mpp_pprime_secure(&p, 50);
if (res == MP_YES) {
reason("error: 15 is composite but passed Rabin-Miller test\n");
err = 1;
} else if (res != MP_NO) {
reason("test mpp_pprime_secure(15, 50) failed: error %d\n", res);
err = 1;
}
mp_clear(&p);
return err;
}
/*------------------------------------------------------------------------*/
int
test_fermat(void)
{
mp_int p;
mp_err res;
int err = 0;
mp_init(&p);
mp_read_radix(&p, mp7, 16);
if ((res = mpp_fermat(&p, 2)) != MP_YES) {
reason("error: %s failed Fermat test on 2: %s\n", mp7,
mp_strerror(res));
++err;
}
if ((res = mpp_fermat(&p, 3)) != MP_YES) {
reason("error: %s failed Fermat test on 3: %s\n", mp7,
mp_strerror(res));
++err;
}
mp_clear(&p);
return err;
}
/*------------------------------------------------------------------------*/
/* Like fprintf(), but only if we are behaving in a verbose manner */
void
reason(char *fmt, ...)
{
va_list ap;
if (!g_verbose)
return;
va_start(ap, fmt);
vfprintf(stderr, fmt, ap);
va_end(ap);
}
/*------------------------------------------------------------------------*/
/* HERE THERE BE DRAGONS */