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1987 lines
54 KiB
C
1987 lines
54 KiB
C
/*
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* mpi-test.c
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*
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* This is a general test suite for the MPI library, which tests
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* all the functions in the library with known values. The program
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* exits with a zero (successful) status if the tests pass, or a
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* nonzero status if the tests fail.
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*
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* ***** BEGIN LICENSE BLOCK *****
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* Version: MPL 1.1/GPL 2.0/LGPL 2.1
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*
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* The contents of this file are subject to the Mozilla Public License Version
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* 1.1 (the "License"); you may not use this file except in compliance with
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* the License. You may obtain a copy of the License at
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* http://www.mozilla.org/MPL/
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*
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* Software distributed under the License is distributed on an "AS IS" basis,
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* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
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* for the specific language governing rights and limitations under the
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* License.
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*
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* The Original Code is the MPI Arbitrary Precision Integer Arithmetic library.
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*
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* The Initial Developer of the Original Code is
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* Michael J. Fromberger.
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* Portions created by the Initial Developer are Copyright (C) 1999
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* the Initial Developer. All Rights Reserved.
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*
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* Contributor(s):
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* Netscape Communications Corporation
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*
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* Alternatively, the contents of this file may be used under the terms of
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* either the GNU General Public License Version 2 or later (the "GPL"), or
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* the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
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* in which case the provisions of the GPL or the LGPL are applicable instead
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* of those above. If you wish to allow use of your version of this file only
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* under the terms of either the GPL or the LGPL, and not to allow others to
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* use your version of this file under the terms of the MPL, indicate your
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* decision by deleting the provisions above and replace them with the notice
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* and other provisions required by the GPL or the LGPL. If you do not delete
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* the provisions above, a recipient may use your version of this file under
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* the terms of any one of the MPL, the GPL or the LGPL.
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*
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* ***** END LICENSE BLOCK ***** */
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/* $Id: mpi-test.c,v 1.13 2005/02/25 04:30:11 julien.pierre.bugs%sun.com Exp $ */
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include <stdarg.h>
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#include <limits.h>
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#include <time.h>
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#include "mpi.h"
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#include "mpprime.h"
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#include "test-info.c"
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/* ZS means Zero Suppressed (no leading zeros) */
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#if MP_USE_LONG_DIGIT
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#define ZS_DIGIT_FMT "%lX"
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#elif MP_USE_LONG_LONG_DIGIT
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#define ZS_DIGIT_FMT "%llX"
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#elif MP_USE_UINT_DIGIT
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#define ZS_DIGIT_FMT "%X"
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#else
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#error "unknown type of digit"
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#endif
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/*
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Test vectors
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If you intend to change any of these values, you must also recompute
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the corresponding solutions below. Basically, these are just hex
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strings (for the big integers) or integer values (for the digits).
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The comparison tests think they know what relationships hold between
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these values. If you change that, you may have to adjust the code
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for the comparison tests accordingly. Most of the other tests
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should be fine as long as you re-compute the solutions, though.
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*/
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const char *mp1 = "639A868CDA0C569861B";
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const char *mp2 = "AAFC0A3FE45E5E09DBE2C29";
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const char *mp3 = "B55AA8DF8A7E83241F38AC7A9E479CAEF2E4D7C5";
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const char *mp4 = "-63DBC2265B88268DC801C10EA68476B7BDE0090F";
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const char *mp5 = "F595CB42";
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const char *mp5a = "-4B597E";
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const char *mp6 = "0";
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const char *mp7 = "EBFA7121CD838CE6439CC59DDB4CBEF3";
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const char *mp8 = "5";
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const char *mp9 = "F74A2876A1432698923B0767DA19DCF3D71795EE";
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const char *mp10 = "9184E72A000";
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const char *mp11 = "54D79A3557E8";
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const char *mp12 = "10000000000000000";
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const char *mp13 =
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"34584F700C15A341E40BF7BFDD88A6630C8FF2B2067469372D391342BDAB6163963C"
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"D5A5C79F708BDE26E0CCF2DB66CD6D6089E29A877C45F2B050D226E6DA88";
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const char *mp14 =
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"AC3FA0EABAAC45724814D798942A1E28E14C81E0DE8055CED630E7689DA648683645DB6E"
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"458D9F5338CC3D4E33A5D1C9BF42780133599E60DEE0049AFA8F9489501AE5C9AA2B8C13"
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"FD21285A538B2CA87A626BB56E0A654C8707535E637FF4E39174157402BDE3AA30C9F134"
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"0C1307BAA864B075A9CC828B6A5E2B2BF1AE406D920CC5E7657D7C0E697DEE5375773AF9"
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"E200A1B8FAD7CD141F9EE47ABB55511FEB9A4D99EBA22F3A3FF6792FA7EE9E5DC0EE94F7"
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"7A631EDF3D7DD7C2DAAAFDF234D60302AB63D5234CEAE941B9AF0ADDD9E6E3A940A94EE5"
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"5DB45A7C66E61EDD0477419BBEFA44C325129601C4F45671C6A0E64665DF341D17FBC71F"
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"77418BD9F4375DDB3B9D56126526D8E5E0F35A121FD4F347013DA880020A752324F31DDD"
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"9BCDB13A3B86E207A2DE086825E6EEB87B3A64232CFD8205B799BC018634AAE193F19531"
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"D6EBC19A75F27CFFAA03EB5974898F53FD569AA5CE60F431B53B0CDE715A5F382405C9C4"
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"761A8E24888328F09F7BCE4E8D80C957DF177629C8421ACCD0C268C63C0DD47C3C0D954F"
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"D79F7D7297C6788DF4B3E51381759864D880ACA246DF09533739B8BB6085EAF7AE8DC2D9"
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"F224E6874926C8D24D34B457FD2C9A586C6B99582DC24F787A39E3942786CF1D494B6EB4"
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"A513498CDA0B217C4E80BCE7DA1C704C35E071AC21E0DA9F57C27C3533F46A8D20B04137"
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"C1B1384BE4B2EB46";
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const char *mp15 =
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"39849CF7FD65AF2E3C4D87FE5526221103D90BA26A6642FFE3C3ECC0887BBBC57E011BF1"
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"05D822A841653509C68F79EBE51C0099B8CBB04DEF31F36F5954208A3209AC122F0E11D8"
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"4AE67A494D78336A2066D394D42E27EF6B03DDAF6D69F5112C93E714D27C94F82FC7EF77"
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"445768C68EAE1C4A1407BE1B303243391D325090449764AE469CC53EC8012C4C02A72F37"
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"07ED7275D2CC8D0A14B5BCC6BF264941520EBA97E3E6BAE4EE8BC87EE0DDA1F5611A6ECB"
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"65F8AEF4F184E10CADBDFA5A2FEF828901D18C20785E5CC63473D638762DA80625003711"
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"9E984AC43E707915B133543AF9D5522C3E7180DC58E1E5381C1FB7DC6A5F4198F3E88FA6"
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"CBB6DFA8B2D1C763226B253E18BCCB79A29EE82D2DE735078C8AE3C3C86D476AAA08434C"
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"09C274BDD40A1D8FDE38D6536C22F44E807EB73DE4FB36C9F51E0BC835DDBE3A8EFCF2FE"
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"672B525769DC39230EE624D5EEDBD837C82A52E153F37378C3AD68A81A7ADBDF3345DBCE"
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"8FA18CA1DE618EF94DF72EAD928D4F45B9E51632ACF158CF8332C51891D1D12C2A7E6684"
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"360C4BF177C952579A9F442CFFEC8DAE4821A8E7A31C4861D8464CA9116C60866C5E72F7"
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"434ADBED36D54ACDFDFF70A4EFB46E285131FE725F1C637D1C62115EDAD01C4189716327"
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"BFAA79618B1656CBFA22C2C965687D0381CC2FE0245913C4D8D96108213680BD8E93E821"
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"822AD9DDBFE4BD04";
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const char *mp16 = "4A724340668DB150339A70";
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const char *mp17 = "8ADB90F58";
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const char *mp18 = "C64C230AB20E5";
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const char *mp19 =
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"F1C9DACDA287F2E3C88DCE2393B8F53DAAAC1196DC36510962B6B59454CFE64B";
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const char *mp20 =
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"D445662C8B6FE394107B867797750C326E0F4A967E135FC430F6CD7207913AC7";
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const char* mp21 = "2";
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const mp_digit md1 = 0;
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const mp_digit md2 = 0x1;
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const mp_digit md3 = 0x80;
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const mp_digit md4 = 0x9C97;
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const mp_digit md5 = 0xF5BF;
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const mp_digit md6 = 0x14A0;
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const mp_digit md7 = 0x03E8;
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const mp_digit md8 = 0x0101;
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const mp_digit md9 = 0xA;
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/*
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Solutions of the form x_mpABC, where:
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x = (p)roduct, (s)um, (d)ifference, (q)uotient, (r)emainder, (g)cd,
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(i)nverse, (e)xponent, square roo(t), (g)cd, (l)cm. A
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leading 'm' indicates a modular operation, e.g. ms_mp12 is the
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modular sum of operands 1 and 2
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ABC are the operand numbers involved in the computation. If a 'd'
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precedes the number, it is a digit operand; if a 'c' precedes it,
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it is a constant; otherwise, it is a full integer.
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*/
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const char *p_mp12 = "4286AD72E095C9FE009938750743174ADDD7FD1E53";
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const char *p_mp34 = "-46BDBD66CA108C94A8CF46C325F7B6E2F2BA82D35"
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"A1BFD6934C441EE369B60CA29BADC26845E918B";
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const char *p_mp57 = "E260C265A0A27C17AD5F4E59D6E0360217A2EBA6";
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const char *p_mp22 = "7233B5C1097FFC77CCF55928FDC3A5D31B712FDE7A1E91";
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const char *p_mp1d4 = "3CECEA2331F4220BEF68DED";
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const char *p_mp8d6 = "6720";
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const char *p_mp1113 =
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"11590FC3831C8C3C51813142C88E566408DB04F9E27642F6471A1822E0100B12F7F1"
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"5699A127C0FA9D26DCBFF458522661F30C6ADA4A07C8C90F9116893F6DBFBF24C3A2"
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"4340";
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const char *p_mp1415 =
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"26B36540DE8B3586699CCEAE218A2842C7D5A01590E70C4A26E789107FBCDB06AA2C"
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"6DDC39E6FA18B16FCB2E934C9A5F844DAD60EE3B1EA82199EC5E9608F67F860FB965"
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"736055DF0E8F2540EB28D07F47E309B5F5D7C94FF190AB9C83A6970160CA700B1081"
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"F60518132AF28C6CEE6B7C473E461ABAC52C39CED50A08DD4E7EA8BA18DAD545126D"
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"A388F6983C29B6BE3F9DCBC15766E8E6D626A92C5296A9C4653CAE5788350C0E2107"
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"F57E5E8B6994C4847D727FF1A63A66A6CEF42B9C9E6BD04C92550B85D5527DE8A132"
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"E6BE89341A9285C7CE7FB929D871BBCBD0ED2863B6B078B0DBB30FCA66D6C64284D6"
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"57F394A0271E15B6EC7A9D530EBAC6CA262EF6F97E1A29FCE7749240E4AECA591ECF"
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"272122BC587370F9371B67BB696B3CDC1BC8C5B64B6280994EBA00CDEB8EB0F5D06E"
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"18F401D65FDCECF23DD7B9BB5B4C5458AEF2CCC09BA7F70EACB844750ACFD027521E"
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"2E047DE8388B35F8512D3DA46FF1A12D4260213602BF7BFFDB6059439B1BD0676449"
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"8D98C74F48FB3F548948D5BA0C8ECFCD054465132DC43466D6BBD59FBAF8D6D4E157"
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"2D612B40A956C7D3E140F3B8562EF18568B24D335707D5BAC7495014DF2444172426"
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"FD099DED560D30D1F945386604AFC85C64BD1E5F531F5C7840475FC0CF0F79810012"
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"4572BAF5A9910CDBD02B27FFCC3C7E5E88EF59F3AE152476E33EDA696A4F751E0AE4"
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"A3D2792DEA78E25B9110E12A19EFD09EA47FF9D6594DA445478BEB6901EAF8A35B2D"
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"FD59BEE9BF7AA8535B7D326EFA5AA2121B5EBE04DD85827A3D43BD04F4AA6D7B62A2"
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"B6D7A3077286A511A431E1EF75FCEBA3FAE9D5843A8ED17AA02BBB1B571F904699C5"
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"A6073F87DDD012E2322AB3F41F2A61F428636FE86914148E19B8EF8314ED83332F2F"
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"8C2ADE95071E792C0A68B903E060DD322A75FD0C2B992059FCCBB58AFA06B50D1634"
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"BBD93F187FCE0566609FCC2BABB269C66CEB097598AA17957BB4FDA3E64A1B30402E"
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"851CF9208E33D52E459A92C63FBB66435BB018E155E2C7F055E0B7AB82CD58FC4889"
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"372ED9EEAC2A07E8E654AB445B9298D2830D6D4DFD117B9C8ABE3968927DC24B3633"
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"BAD6E6466DB45DDAE87A0AB00336AC2CCCE176704F7214FCAB55743AB76C2B6CA231"
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"7984610B27B5786DE55C184DDF556EDFEA79A3652831940DAD941E243F482DC17E50"
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"284BC2FB1AD712A92542C573E55678878F02DFD9E3A863C7DF863227AEDE14B47AD3"
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"957190124820ADC19F5353878EDB6BF7D0C77352A6E3BDB53EEB88F5AEF6226D6E68"
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"756776A8FB49B77564147A641664C2A54F7E5B680CCC6A4D22D894E464DF20537094"
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"548F1732452F9E7F810C0B4B430C073C0FBCE03F0D03F82630654BCE166AA772E1EE"
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"DD0C08D3E3EBDF0AF54203B43AFDFC40D8FC79C97A4B0A4E1BEB14D8FCEFDDED8758"
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"6ED65B18";
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const char *p_mp2121 = "4";
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const char *mp_mp345 = "B9B6D3A3";
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const char *mp_mp335 = "16609C2D";
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const char *s_mp13 = "B55AA8DF8A7E83241F38B2B446B06A4FB84E5DE0";
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const char *s_mp34 = "517EE6B92EF65C965736EB6BF7C325F73504CEB6";
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const char *s_mp46 = "-63DBC2265B88268DC801C10EA68476B7BDE0090F";
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const char *s_mp5d4 = "F59667D9";
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const char *s_mp2d5 = "AAFC0A3FE45E5E09DBF21E8";
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const char *s_mp1415 =
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"E5C43DE2B811F4A084625F96E9504039E5258D8348E698CEB9F4D4292622042DB446"
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"F75F4B65C1FB7A317257FA354BB5A45E789AEC254EAECE11F80A53E3B513822491DB"
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"D9399DEC4807A2A3A10360129AC93F4A42388D3BF20B310DD0E9E9F4BE07FC88D53A"
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"78A26091E0AB506A70813712CCBFBDD440A69A906E650EE090FDD6A42A95AC1A414D"
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"317F1A9F781E6A30E9EE142ECDA45A1E3454A1417A7B9A613DA90831CF88EA1F2E82"
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"41AE88CC4053220903C2E05BCDD42F02B8CF8868F84C64C5858BAD356143C5494607"
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"EE22E11650148BAF65A985F6FC4CA540A55697F2B5AA95D6B8CF96EF638416DE1DD6"
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"3BA9E2C09E22D03E75B60BE456C642F86B82A709253E5E087B507DE3A45F8392423F"
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"4DBC284E8DC88C43CA77BC8DCEFB6129A59025F80F90FF978116DEBB9209E306FBB9"
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"1B6111F8B8CFACB7C7C9BC12691C22EE88303E1713F1DFCEB622B8EA102F6365678B"
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"C580ED87225467AA78E875868BD53B17574BA59305BC1AC666E4B7E9ED72FCFC200E"
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"189D98FC8C5C7533739C53F52DDECDDFA5A8668BFBD40DABC9640F8FCAE58F532940"
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"8162261320A25589E9FB51B50F80056471F24B7E1AEC35D1356FC2747FFC13A04B34"
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"24FCECE10880BD9D97CA8CDEB2F5969BF4F30256EB5ED2BCD1DC64BDC2EE65217848"
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"48A37FB13F84ED4FB7ACA18C4639EE64309BDD3D552AEB4AAF44295943DC1229A497"
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"A84A";
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const char *ms_mp345 = "1E71E292";
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const char *d_mp12 = "-AAFBA6A55DD183FD854A60E";
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const char *d_mp34 = "119366B05E606A9B1E73A6D8944CC1366B0C4E0D4";
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const char *d_mp5d4 = "F5952EAB";
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const char *d_mp6d2 = "-1";
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const char *md_mp345 = "26596B86";
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const char *q_mp42 = "-95825A1FFA1A155D5";
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const char *r_mp42 = "-6312E99D7700A3DCB32ADF2";
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const char *q_mp45a = "15344CDA3D841F661D2B61B6EDF7828CE36";
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const char *r_mp45a = "-47C47B";
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const char *q_mp7c2 = "75FD3890E6C1C67321CE62CEEDA65F79";
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const char *q_mp3d6 = "8CAFD53C272BD6FE8B0847BDC3B539EFAB5C3";
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const char *r_mp3d6 = "1E5";
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const char *r_mp5d5 = "1257";
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const char *r_mp47 = "B3A9018D970281A90FB729A181D95CB8";
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const char *q_mp1404 =
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"-1B994D869142D3EF6123A3CBBC3C0114FA071CFCEEF4B7D231D65591D32501AD80F"
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"FF49AE4EC80514CC071EF6B42521C2508F4CB2FEAD69A2D2EF3934087DCAF88CC4C4"
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"659F1CA8A7F4D36817D802F778F1392337FE36302D6865BF0D4645625DF8BB044E19"
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"930635BE2609FAC8D99357D3A9F81F2578DE15A300964188292107DAC980E0A08CD7"
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"E938A2135FAD45D50CB1D8C2D4C4E60C27AB98B9FBD7E4DBF752C57D2674520E4BB2"
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"7E42324C0EFE84FB3E38CF6950E699E86FD45FE40D428400F2F94EDF7E94FAE10B45"
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"89329E1BF61E5A378C7B31C9C6A234F8254D4C24823B84D0BF8D671D8BC9154DFAC9"
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"49BD8ACABD6BD32DD4DC587F22C86153CB3954BDF7C2A890D623642492C482CF3E2C"
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"776FC019C3BBC61688B485E6FD35D6376089C1E33F880E84C4E51E8ABEACE1B3FB70"
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"3EAD0E28D2D44E7F1C0A859C840775E94F8C1369D985A3C5E8114B21D68B3CBB75D2"
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|
"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_sqrt(void)
|
|
{
|
|
mp_int a;
|
|
int res = 0;
|
|
|
|
mp_init(&a); mp_read_radix(&a, mp9, 16);
|
|
mp_sqrt(&a, &a);
|
|
mp_toradix(&a, g_intbuf, 16);
|
|
|
|
if(strcmp(g_intbuf, t_mp9) != 0) {
|
|
reason("error: computed %s, expected %s\n", g_intbuf, t_mp9);
|
|
res = 1; goto CLEANUP;
|
|
}
|
|
|
|
mp_read_radix(&a, mp15, 16);
|
|
mp_sqrt(&a, &a);
|
|
mp_toradix(&a, g_intbuf, 16);
|
|
|
|
if(strcmp(g_intbuf, t_mp15) != 0) {
|
|
reason("error: computed %s, expected %s\n", g_intbuf, t_mp15);
|
|
res = 1;
|
|
}
|
|
|
|
CLEANUP:
|
|
mp_clear(&a);
|
|
return res;
|
|
}
|
|
|
|
/*------------------------------------------------------------------------*/
|
|
|
|
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_read_radix(&a, mp5a, 16);
|
|
if(mp_cmp_int(&a, 1000000) >= 0 ||
|
|
(mp_cmp_int(&a, -5000000) <= 0) ||
|
|
(mp_cmp_int(&a, -4938110) != 0)) {
|
|
reason("error: long integer comparison failed (%s)", mp5a);
|
|
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 */
|