diff options
Diffstat (limited to 'security/nss/cmd/mpitests/mpi-test.c')
| -rw-r--r-- | security/nss/cmd/mpitests/mpi-test.c | 2127 |
1 files changed, 2127 insertions, 0 deletions
diff --git a/security/nss/cmd/mpitests/mpi-test.c b/security/nss/cmd/mpitests/mpi-test.c new file mode 100644 index 000000000..3a1f5d6c2 --- /dev/null +++ b/security/nss/cmd/mpitests/mpi-test.c @@ -0,0 +1,2127 @@ +/* + * 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 + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ + +#include <stdio.h> +#include <stdlib.h> +#include <string.h> +#include <stdarg.h> +#include <limits.h> +#include <time.h> + +#include "mpi.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? */ +int res; + +#define IFOK(x) \ + { \ + if (MP_OKAY > (res = (x))) { \ + reason("test %s failed: error %d\n", #x, 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; + } + + sprintf(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; + } + + sprintf(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)); + sprintf(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; + char *buf; + + mp_init(&a); + 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; + } + + free(buf); + mp_clear(&a); + + return out; +} + +/*------------------------------------------------------------------------*/ + +int +test_pprime(void) +{ + mp_int p; + int err = 0; + mp_err res; + + mp_init(&p); + mp_read_radix(&p, mp7, 16); + + if (mpp_pprime(&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(&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(9, 50) failed: error %d\n", res); + err = 1; + } + + IFOK(mp_set_int(&p, 15)); + res = mpp_pprime(&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(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 */ |