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fingerprint.c
1860 lines (1712 loc) · 66.8 KB
/
fingerprint.c
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/***********************************************************************
File: fingerprint.c
Author: Mark Mitchell
Date: 05/31/1998
Contents: A port of the Modula-3 fingerpinting module to C.
Copyright (c) 1998 by Mark Mitchell. All rights reserved.
Redistribution and use in source and binary forms are permitted
provided that the above copyright notice and this paragraph are
duplicated in all such forms and that any documentation, advertising
materials, and other materials related to such distribution and use
acknowledge that the software was developed by Mark Mitchell. The
name Mark Mitchell may not be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED ``AS IS'' AND WITHOUT AND EXPRESS OR
IMPLIED WARRANTIES, INCLUDING, WITHOUT LIMITATION, THE IMPLIED
WARRANTIES OF MERCHANTIBILITY AND FITNESS FOR A PARTICULAR PURPOSE.
***********************************************************************/
/***********************************************************************
Included Files
***********************************************************************/
#include <assert.h>
#include <limits.h>
#include <stddef.h>
#include <stdlib.h>
#include <string.h>
#include "fingerprint.h"
/***********************************************************************
Macros
***********************************************************************/
/* FINGERPRINT_INT_32_TYPE is a 32-bit signed integral type. */
#ifndef FINGERPRINT_INT_32_TYPE
#define FINGERPRINT_INT_32_TYPE int
#endif /* ifndef FINGERPRINT_INT_32_TYPE */
/* FINGERPRINT_POINTER_INT_TYPE is an integral type with the same
number of bits as pointers. */
#ifndef FINGERPRINT_POINTER_INT_TYPE
#define FINGERPRINT_POINTER_INT_TYPE int
#endif /* ifndef FINGERPRINT_POINTER_INT_TYPE */
/* FINGERPRINT_LITTLE_ENDIAN is 1 if the target is little-endian, 0 if
it is big-endian, and undefined otherwise. */
#if FINGERPRINT_USE_INTEGRAL_TYPE
#ifdef FINGERPRINT_LITTLE_ENDIAN
#error "You must not define FINGERPRINT_LITTLE_ENDIAN if you define FINGERPRINT_INTEGRAL_TYPE"
#else /* ifndef FINGERPRINT_LITTLE_ENDIAN */
#define FINGERPRINT_LITTLE_ENDIAN 1
#endif /* ifdef FINGERPRINT_LITTLE_ENDIAN */
#endif /* FINGERPRINT_USE_INTEGRAL_TYPE */
/* MAY_BE_LITTLE_ENDIAN is non-zero if the target might be
little-endian. */
#if !defined(FINGERPRINT_LITTLE_ENDIAN) || FINGERPRINT_LITTLE_ENDIAN
#define MAY_BE_LITTLE_ENDIAN 1
#else /* !(!defined(FINGERPRINT_LITTLE_ENDIAN)
|| FINGERPRINT_LITTLE_ENDIAN) */
#define MAY_BE_LITTLE_ENDIAN 0
#endif /* (!defined(FINGERPRINT_LITTLE_ENDIAN)
|| FINGERPRINT_LITTLE_ENDIAN) */
/* MAY_BE_LITTLE_ENDIAN is non-zero if the target might be
big-endian. */
#if !defined(FINGERPRINT_LITTLE_ENDIAN) || !FINGERPRINT_LITTLE_ENDIAN
#define MAY_BE_BIG_ENDIAN 1
#else /* !(!defined(FINGERPRINT_LITTLE_ENDIAN)
|| 1FINGERPRINT_LITTLE_ENDIAN) */
#define MAY_BE_BIG_ENDIAN 0
#endif /* (!defined(FINGERPRINT_LITTLE_ENDIAN)
|| FINGERPRINT_LITTLE_ENDIAN) */
/***********************************************************************
Types
***********************************************************************/
/* The Modula-3 INTEGER type is the type of all integers represented
by the implementation. Implicit in the Modula-3 fingerprinting
algorithm is the idea that this type has the same size as a
pointer as the code contains:
LOOPHOLE (addr, INTEGER)
at one point. */
typedef FINGERPRINT_POINTER_INT_TYPE integer_t;
/* A fingerprint_int_32_t is a 32-bit integral type:
TYPE Int32 = [-16_7fffffff - 1 .. 16_7fffffff]. */
typedef FINGERPRINT_INT_32_TYPE
int_32_t;
#if !FINGERPRINT_USE_INTEGRAL_TYPE
/* A fingerprint_poly_t is a polynomial of degree [0..63] with
coefficients in the field Z[2]:
TYPE T = ARRAY [0..1] OF Int32;
Because arrays are not first-class types in C, we enclose the array
in a structure type.
The coefficients of a polynomial are in reverse (VAX) order: P(x) =
x^64 + c[0] * x^63 + c[1] * x^62 + ... + c[63].
The leading coefficient is not stored in the 64-bit representation
of the basis polynomial. All other polynomials are residues MOD the
basis, hence they don't have an x^64 term. */
typedef struct poly_t {
int_32_t array[2];
} poly_t;
#else /* FINGERPRINT_USE_INTEGRAL_TYPE */
typedef FINGERPRINT_INTEGRAL_TYPE poly_t;
#endif /* !FINGERPRINT_USE_INTEGRAL_TYPE */
/* We carefully use only names beginning with "fingerprint" in the
external interface, but there is no reason to be so careful
internally. */
typedef fingerprint_byte_t byte_t;
typedef fingerprint_word_t word_t;
/***********************************************************************
Static Function Definitions
***********************************************************************/
/* The Modula-3 `MOD' operator is such that `X MOD Y' is non-negative
if Y is positive and non-positive if Y is negative. C's `%'
operator makes no such guarantee. This function computes the
Modula-3 MOD operation. If your C compiler explicitly ensures a
Modula-3-like `%' operator, you might be able to improve
performance by replacing this function with a macro. */
static integer_t mod (integer_t x, integer_t y)
{
const int positive = (y > 0);
/* We cannot use the library function `abs' to do these conversions
since we don't know that integer_t is `int' which is the type of
`abs'. */
if (x < 0)
x = -x;
if (y < 0)
y = -y;
return positive ? (x % y) : - (x % y);
}
/***********************************************************************
Modula-3 `Word' Module
***********************************************************************/
/* (x + y) MOD 2^[Word.Size] */
#define word_plus(x, y) (((word_t) (x)) + ((word_t) (y)))
/* (x * y) MOD 2^[Word.Size] */
#define word_times(x, y) (((word_t) (x)) * ((word_t) (y)))
/* Bitwise AND of X and Y. */
#define word_and(x, y) (((word_t) (x)) & ((word_t) (y)))
/* Bitwise OR of X and Y. */
#define word_or(x, y) (((word_t) (x)) | ((word_t) (y)))
/* Bitwise XOR of X and Y. */
#define word_xor(x, y) (((word_t) (x)) ^ ((word_t) (y)))
/* Bitwise complement of X. */
#define word_not(x) (~((word_t) (x)))
/* The Modula-3 versions of word_left_shift and word_right_shift are
in terms of Word.Shift. Here, we code them directly. Note that
C's right-shift operator does not necessarily behave as desired,
unless the operand is unsigned. */
#define word_left_shift(x, n) (((word_t) (x)) << n)
#define word_right_shift(x, n) (((word_t) (x)) >> n)
/* Take N bits from X, with bit I as the least significant bit, and
return them as the least significant N bits of a word whose other
bits are 0. */
#define word_extract(x, i, n) \
((((word_t) (x)) >> i) & ~(((word_t) -1) << n))
/***********************************************************************
Modula-3 `Poly' Module
***********************************************************************/
/* Mask to grab 32 significant bits. */
#define POLY_SIG_BITS 0xffffffff
#if !FINGERPRINT_USE_INTEGRAL_TYPE
/* Return the Ith half of T. */
#define POLY_HALF(t, i) ((t).array[i])
/* Form an initialization expression for the polynomial whose first
word is T0 and whose second is T1. */
#define POLY_INIT(t0, t1) { (t0), (t1) }
/* Construct in T the polynomial whose first word is T0 and whose
second is T1. */
#define POLY_FORM(t, t0, t1) \
(POLY_HALF (t, 0) = t0, POLY_HALF (t, 1) = t1)
#else /* FINGERPRINT_USE_INTEGRAL_TYPE */
#define POLY_HALF(t, i) (((int_32_t*) &(t))[i])
#define POLY_INIT(t0, t1) \
((((poly_t) (t1)) << 32) | (((poly_t) (t0)) & POLY_SIG_BITS))
#define POLY_FORM(t, t0, t1) ((t) = POLY_INIT ((t0), (t1)))
#endif /* !FINGERPRINT_USE_INTEGRAL_TYPE */
/***********************************************************************
Types
***********************************************************************/
/* TYPE IntPtr = UNTRACED REF Int32 */
typedef int_32_t*
int_ptr_t;
/* TYPE IntBytes = RECORD b0, b1, b2, b2: Byte END;
The Modula-3 code assumes that it can treat these bytes as an Int32
as well. We therefore use a union; that guarantees that
Int32-accesses will not be misaligned. Note: this use of unions
(to preform "type punning") results in implementation-defined
behavior in ANSI/ISO C. */
typedef union int_bytes_t {
int_32_t w;
byte_t b[4];
} int_bytes_t;
/***********************************************************************
Variables
***********************************************************************/
#ifndef FINGERPRINT_LITTLE_ENDIAN
static int poly_little_endian;
static int poly_big_endian;
static int poly_init_done;
#else /* ifdef FINGERPRINT_LITTLE_ENDIAN */
#define poly_little_endian FINGERPRINT_LITTLE_ENDIAN
#endif /* ifndef FINGERPRINT_LITTLE_ENDIAN */
/* ONE = T { 0, FIRST (Int32) }; */
static const poly_t
POLY_ONE = POLY_INIT (0, (-0x7fffffff - 1));
static const poly_t
poly64[256]
/* poly64[i] = i(x) * x^64 MOD P */
= {POLY_INIT (0, 0),
POLY_INIT (36728807, 152935311),
POLY_INIT (73457614, 305870622),
POLY_INIT (105951273, 455519377),
POLY_INIT (85802743, 386180924),
POLY_INIT (120410384, 504970419),
POLY_INIT (25026873, 88051746),
POLY_INIT (55414494, 203557805),
POLY_INIT (132578437, 494634872),
POLY_INIT (97948514, 342236407),
POLY_INIT (59122507, 255897702),
POLY_INIT (28724396, 106769385),
POLY_INIT (50053746, 176103492),
POLY_INIT (13348245, 56802251),
POLY_INIT (110828988, 407115610),
POLY_INIT (78344795, 291081429),
POLY_INIT (34699361, 159762416),
POLY_INIT (2168710, 9985151),
POLY_INIT (108111791, 465498350),
POLY_INIT (71419976, 312699745),
POLY_INIT (118245014, 511795404),
POLY_INIT (87828849, 396163907),
POLY_INIT (57448792, 213538770),
POLY_INIT (22869695, 94882909),
POLY_INIT (100107492, 352206984),
POLY_INIT (130542339, 501472007),
POLY_INIT (26696490, 113604502),
POLY_INIT (61289677, 265874457),
POLY_INIT (15383059, 66774964),
POLY_INIT (47896052, 182942779),
POLY_INIT (76178909, 297914538),
POLY_INIT (112855610, 417090341),
POLY_INIT (69398722, 319524832),
POLY_INIT (101883685, 437654639),
POLY_INIT (4337420, 19970302),
POLY_INIT (41042155, 137175921),
POLY_INIT (20958773, 68102364),
POLY_INIT (51356114, 219329363),
POLY_INIT (90116603, 372514754),
POLY_INIT (124747292, 522814541),
POLY_INIT (63179847, 242223256),
POLY_INIT (32793504, 124621591),
POLY_INIT (128242569, 474693510),
POLY_INIT (93633646, 357999625),
POLY_INIT (114897584, 427077540),
POLY_INIT (82402647, 275330091),
POLY_INIT (45739390, 189765818),
POLY_INIT (9011865, 38929205),
POLY_INIT (104040611, 445532176),
POLY_INIT (67364676, 328455071),
POLY_INIT (39016301, 146112270),
POLY_INIT (6502538, 27845761),
POLY_INIT (53392980, 227209004),
POLY_INIT (18799027, 77034659),
POLY_INIT (122579354, 531748914),
POLY_INIT (92145277, 380388285),
POLY_INIT (30766118, 133549928),
POLY_INIT (65346497, 250107111),
POLY_INIT (95792104, 365885558),
POLY_INIT (126206991, 483615737),
POLY_INIT (80235217, 284256340),
POLY_INIT (116925750, 434959323),
POLY_INIT (11048223, 46817098),
POLY_INIT (43580152, 198689989),
POLY_INIT (93937903, 358995648),
POLY_INIT (128519944, 477646159),
POLY_INIT (33144609, 123658718),
POLY_INIT (63557830, 239303249),
POLY_INIT (8674840, 39940604),
POLY_INIT (45363711, 192735859),
POLY_INIT (82084310, 274351842),
POLY_INIT (114617905, 424140141),
POLY_INIT (41917546, 136204728),
POLY_INIT (5239693, 17025591),
POLY_INIT (102712228, 438658726),
POLY_INIT (70200387, 322501929),
POLY_INIT (123904669, 521860740),
POLY_INIT (89312634, 369585419),
POLY_INIT (50494803, 220316058),
POLY_INIT (20058804, 71064085),
POLY_INIT (126359694, 484446512),
POLY_INIT (95975273, 368937663),
POLY_INIT (65587008, 249243182),
POLY_INIT (30976167, 130465185),
POLY_INIT (43329145, 199538188),
POLY_INIT (10832286, 49884547),
POLY_INIT (116783543, 434077970),
POLY_INIT (80057936, 281156253),
POLY_INIT (7267339, 26973768),
POLY_INIT (39750636, 143003079),
POLY_INIT (68041669, 329294166),
POLY_INIT (104748066, 448608985),
POLY_INIT (91478780, 379531636),
POLY_INIT (121877787, 528657147),
POLY_INIT (18023730, 77858410),
POLY_INIT (52652757, 230268389),
POLY_INIT (29069357, 107895072),
POLY_INIT (59506634, 259244719),
POLY_INIT (98258915, 341143102),
POLY_INIT (132849668, 491320753),
POLY_INIT (78032602, 292224540),
POLY_INIT (110543165, 410477971),
POLY_INIT (13005076, 55691522),
POLY_INIT (49684211, 172774029),
POLY_INIT (106785960, 454418008),
POLY_INIT (74253135, 302532055),
POLY_INIT (37598054, 154069318),
POLY_INIT (908417, 3371721),
POLY_INIT (54547039, 202471780),
POLY_INIT (24133048, 84730603),
POLY_INIT (119573905, 506089082),
POLY_INIT (84992630, 389535221),
POLY_INIT (61532236, 267099856),
POLY_INIT (26904491, 116786527),
POLY_INIT (130692994, 500214222),
POLY_INIT (100292709, 348992065),
POLY_INIT (112711355, 418331116),
POLY_INIT (76003676, 301113955),
POLY_INIT (47647093, 181669618),
POLY_INIT (15165074, 63542653),
POLY_INIT (72094921, 311433640),
POLY_INIT (108821294, 462258727),
POLY_INIT (2935559, 11218614),
POLY_INIT (35431648, 162968889),
POLY_INIT (22096446, 93634196),
POLY_INIT (56706521, 210314523),
POLY_INIT (87160304, 397379978),
POLY_INIT (117545495, 514986501),
POLY_INIT (116277429, 431580288),
POLY_INIT (81669970, 279248655),
POLY_INIT (42901371, 193090462),
POLY_INIT (12513436, 44025873),
POLY_INIT (66289218, 247317436),
POLY_INIT (29561253, 127948851),
POLY_INIT (127115660, 478606498),
POLY_INIT (94621291, 362508077),
POLY_INIT (17349680, 79881208),
POLY_INIT (54055895, 232749175),
POLY_INIT (90727422, 385471718),
POLY_INIT (123210777, 535056233),
POLY_INIT (68518599, 331760836),
POLY_INIT (103148832, 450617163),
POLY_INIT (7691529, 33387482),
POLY_INIT (38089454, 148957269),
POLY_INIT (83835092, 272409456),
POLY_INIT (114251571, 421607679),
POLY_INIT (10479386, 34051182),
POLY_INIT (45058301, 186257377),
POLY_INIT (31589923, 121111628),
POLY_INIT (64121284, 237346755),
POLY_INIT (92461549, 352531282),
POLY_INIT (129152522, 471771357),
POLY_INIT (52020305, 222766088),
POLY_INIT (19508150, 73056135),
POLY_INIT (125377439, 528225046),
POLY_INIT (88700024, 375490713),
POLY_INIT (100989606, 440632116),
POLY_INIT (70554945, 324933819),
POLY_INIT (40117608, 142128170),
POLY_INIT (5524111, 23408549),
POLY_INIT (46968951, 179497824),
POLY_INIT (16572304, 61829359),
POLY_INIT (111964089, 411688062),
POLY_INIT (77332574, 294930417),
POLY_INIT (131174016, 498486364),
POLY_INIT (98689383, 346806227),
POLY_INIT (61952334, 260930370),
POLY_INIT (25247401, 110158029),
POLY_INIT (86658290, 399076376),
POLY_INIT (119153429, 517273495),
POLY_INIT (21664572, 99769094),
POLY_INIT (58391771, 217038985),
POLY_INIT (3633669, 13486884),
POLY_INIT (34020834, 164647083),
POLY_INIT (72854987, 318176314),
POLY_INIT (107463212, 468412341),
POLY_INIT (14534678, 53947536),
POLY_INIT (49129457, 170571551),
POLY_INIT (79501272, 286006158),
POLY_INIT (109934655, 403800065),
POLY_INIT (96532193, 338922412),
POLY_INIT (133208326, 489558051),
POLY_INIT (27273519, 101235890),
POLY_INIT (59786952, 253044541),
POLY_INIT (121320595, 508341224),
POLY_INIT (84630388, 391196775),
POLY_INIT (56355677, 209165558),
POLY_INIT (23823546, 90834809),
POLY_INIT (36047460, 155716820),
POLY_INIT (1467779, 5609307),
POLY_INIT (105305514, 460536778),
POLY_INIT (74889805, 309239877),
POLY_INIT (58138714, 215790144),
POLY_INIT (21450685, 96545231),
POLY_INIT (119013268, 518489438),
POLY_INIT (86478963, 402267857),
POLY_INIT (107617965, 467146108),
POLY_INIT (73036106, 314937075),
POLY_INIT (34259299, 165880418),
POLY_INIT (3845764, 16693741),
POLY_INIT (76668127, 296170808),
POLY_INIT (111260472, 414887607),
POLY_INIT (15794961, 60555814),
POLY_INIT (46230774, 176265641),
POLY_INIT (26010152, 111383044),
POLY_INIT (62688719, 264112523),
POLY_INIT (99368422, 345548058),
POLY_INIT (131879425, 495271573),
POLY_INIT (23484475, 89748912),
POLY_INIT (55982044, 205844031),
POLY_INIT (84314101, 392315566),
POLY_INIT (121038866, 511695137),
POLY_INIT (75196108, 308138636),
POLY_INIT (105580843, 457197827),
POLY_INIT (1816834, 6743442),
POLY_INIT (36427493, 159088157),
POLY_INIT (109094078, 404943560),
POLY_INIT (78695257, 289368391),
POLY_INIT (48266096, 169461206),
POLY_INIT (13636759, 50617945),
POLY_INIT (60660297, 254170612),
POLY_INIT (28177838, 104582779),
POLY_INIT (134038919, 488465130),
POLY_INIT (97331808, 335608165),
POLY_INIT (123064472, 534199712),
POLY_INIT (90554239, 382379567),
POLY_INIT (53808982, 233573054),
POLY_INIT (17129649, 82940209),
POLY_INIT (38334063, 148085404),
POLY_INIT (7897480, 30277907),
POLY_INIT (103297441, 451456386),
POLY_INIT (68705862, 334837261),
POLY_INIT (11742237, 44874456),
POLY_INIT (42157050, 196157783),
POLY_INIT (80999379, 278367686),
POLY_INIT (115579956, 428480073),
POLY_INIT (95294186, 363339236),
POLY_INIT (127827213, 481658475),
POLY_INIT (30330148, 127085306),
POLY_INIT (67019459, 244232565),
POLY_INIT (88385785, 374536784),
POLY_INIT (125093662, 525296095),
POLY_INIT (19167031, 74042702),
POLY_INIT (51648720, 225728193),
POLY_INIT (5871118, 22437228),
POLY_INIT (40499689, 139183843),
POLY_INIT (70863296, 325937778),
POLY_INIT (101262887, 443609597),
POLY_INIT (44192892, 187268392),
POLY_INIT (9583515, 37021351),
POLY_INIT (113413042, 420629046),
POLY_INIT (83027029, 269472185),
POLY_INIT (129985163, 472766996),
POLY_INIT (93259116, 355484059),
POLY_INIT (64992581, 236383498),
POLY_INIT (32496290, 118191749)
};
static const poly_t
poly72[256]
/* poly72[i] = i(x) * x^72 MOD P */
= {POLY_INIT (0, 0),
POLY_INIT (-1961202135, 335293334),
POLY_INIT (468213049, 344628781),
POLY_INIT (-1863175408, 125220283),
POLY_INIT (973880089, 443020634),
POLY_INIT (-1323936464, 161210060),
POLY_INIT (568616480, 250440567),
POLY_INIT (-1426192375, 487669985),
POLY_INIT (2042951513, 129835956),
POLY_INIT (-220292752, 339806242),
POLY_INIT (1647094368, 322420121),
POLY_INIT (-382286775, 13342223),
POLY_INIT (1137232960, 500881134),
POLY_INIT (-925719959, 237436280),
POLY_INIT (1478529401, 156256451),
POLY_INIT (-751108272, 447505237),
POLY_INIT (-209064270, 259671912),
POLY_INIT (2022932635, 478571774),
POLY_INIT (-396250229, 468769093),
POLY_INIT (1669062050, 135066323),
POLY_INIT (-913975893, 354267698),
POLY_INIT (1117764482, 115448228),
POLY_INIT (-764573550, 26684447),
POLY_INIT (1501030075, 309004169),
POLY_INIT (-1974658581, 147285212),
POLY_INIT (22509506, 456871754),
POLY_INIT (-1851439918, 474872561),
POLY_INIT (448735995, 263311719),
POLY_INIT (-1337908494, 312512902),
POLY_INIT (995839195, 22854160),
POLY_INIT (-1414955061, 103419819),
POLY_INIT (548606434, 366355517),
POLY_INIT (-418128540, 519343825),
POLY_INIT (1812575053, 218670407),
POLY_INIT (-50626467, 176034044),
POLY_INIT (2011295348, 427965290),
POLY_INIT (-585111939, 76774283),
POLY_INIT (1443203156, 393170973),
POLY_INIT (-956843196, 270132646),
POLY_INIT (1307432301, 65392176),
POLY_INIT (-1630066115, 424258917),
POLY_INIT (365773844, 179668723),
POLY_INIT (-2059438332, 230896456),
POLY_INIT (237312301, 507451614),
POLY_INIT (-1529147100, 53368895),
POLY_INIT (801210125, 282227625),
POLY_INIT (-1087157219, 396674578),
POLY_INIT (875110964, 72936836),
POLY_INIT (345650134, 294570425),
POLY_INIT (-1618977281, 41083439),
POLY_INIT (259157743, 84170644),
POLY_INIT (-2073558842, 385383426),
POLY_INIT (781584591, 199834851),
POLY_INIT (-1517525274, 404035445),
POLY_INIT (897471990, 526623438),
POLY_INIT (-1100727329, 211781976),
POLY_INIT (1834927247, 372501005),
POLY_INIT (-431707482, 97501595),
POLY_INIT (1991678390, 45708320),
POLY_INIT (-38996065, 289759158),
POLY_INIT (1465057174, 206839639),
POLY_INIT (-599223873, 531117249),
POLY_INIT (1287299759, 417235322),
POLY_INIT (-945763194, 186821356),
POLY_INIT (-1006945373, 245093539),
POLY_INIT (1222727050, 493354805),
POLY_INIT (-669817190, 437340814),
POLY_INIT (1393100979, 166551832),
POLY_INIT (-101252934, 352068089),
POLY_INIT (1928162963, 117443183),
POLY_INIT (-501260925, 7782356),
POLY_INIT (1761948586, 327849026),
POLY_INIT (-1170223878, 153548567),
POLY_INIT (824550099, 450550913),
POLY_INIT (-1579707965, 497838394),
POLY_INIT (718143466, 240140972),
POLY_INIT (-2144077853, 323027533),
POLY_INIT (187275722, 12397019),
POLY_INIT (-1680102694, 130784352),
POLY_INIT (281134323, 339195894),
POLY_INIT (812832017, 31560651),
POLY_INIT (-1150764232, 303937629),
POLY_INIT (731547688, 359337446),
POLY_INIT (-1602165247, 110569072),
POLY_INIT (176090632, 461792913),
POLY_INIT (-2124120031, 142232839),
POLY_INIT (295088945, 252508348),
POLY_INIT (-1702044392, 485544746),
POLY_INIT (1236673096, 106737791),
POLY_INIT (-1028895647, 362847209),
POLY_INIT (1381924721, 316026450),
POLY_INIT (-649850536, 19531204),
POLY_INIT (1941576017, 473646373),
POLY_INIT (-123701384, 264728243),
POLY_INIT (1750221928, 145873672),
POLY_INIT (-481809855, 458092702),
POLY_INIT (619243207, 275733106),
POLY_INIT (-1343059730, 59994596),
POLY_INIT (1057012734, 82166879),
POLY_INIT (-1273309737, 387575753),
POLY_INIT (518315486, 168341288),
POLY_INIT (-1778469897, 435455166),
POLY_INIT (84705511, 511848709),
POLY_INIT (-1911099698, 226368147),
POLY_INIT (1563169182, 399669702),
POLY_INIT (-701071433, 70144592),
POLY_INIT (1187269799, 56158187),
POLY_INIT (-841080178, 279235709),
POLY_INIT (1730161287, 230001820),
POLY_INIT (-331725650, 508143370),
POLY_INIT (2093512638, 423563953),
POLY_INIT (-137225833, 180566311),
POLY_INIT (-681506699, 521477402),
POLY_INIT (1551591004, 216610444),
POLY_INIT (-863414964, 195003191),
POLY_INIT (1200831333, 409184417),
POLY_INIT (-311610516, 91416640),
POLY_INIT (1719098693, 378454998),
POLY_INIT (-159027627, 301495917),
POLY_INIT (2107572348, 33840635),
POLY_INIT (-1364852948, 413679278),
POLY_INIT (633311493, 190059832),
POLY_INIT (-1253203435, 203595907),
POLY_INIT (1045941308, 534678293),
POLY_INIT (-1800813515, 47172596),
POLY_INIT (531868188, 288612450),
POLY_INIT (-1891526388, 373642713),
POLY_INIT (73135909, 96042575),
POLY_INIT (-2013890746, 490187079),
POLY_INIT (216799599, 248218321),
POLY_INIT (-1675744641, 163395434),
POLY_INIT (386155606, 440474876),
POLY_INIT (-1107669921, 122706973),
POLY_INIT (920658550, 346847115),
POLY_INIT (-1508765338, 333103664),
POLY_INIT (755531599, 2550182),
POLY_INIT (-30244833, 445287155),
POLY_INIT (1965616694, 158769509),
POLY_INIT (-438641370, 234886366),
POLY_INIT (1858122511, 503070536),
POLY_INIT (-1002521850, 15564713),
POLY_INIT (1327813935, 319902783),
POLY_INIT (-539564481, 342352260),
POLY_INIT (1422690326, 127650322),
POLY_INIT (1954519540, 307097135),
POLY_INIT (-10094627, 28427705),
POLY_INIT (1872217293, 113733634),
POLY_INIT (-460477724, 356211604),
POLY_INIT (1316201197, 136977269),
POLY_INIT (-982922044, 467022051),
POLY_INIT (1436286932, 480281944),
POLY_INIT (-561933827, 257732302),
POLY_INIT (230387373, 368102811),
POLY_INIT (-2036268924, 101508621),
POLY_INIT (374551444, 24794038),
POLY_INIT (-1656136259, 310802464),
POLY_INIT (934761908, 261568705),
POLY_INIT (-1129497699, 476779351),
POLY_INIT (744425613, 454928108),
POLY_INIT (-1488623964, 148999546),
POLY_INIT (1625664034, 63121302),
POLY_INIT (-335559669, 272567296),
POLY_INIT (2064512795, 390707643),
POLY_INIT (-266888910, 79008301),
POLY_INIT (1525256507, 430232268),
POLY_INIT (-772538606, 173603162),
POLY_INIT (1090636802, 221138145),
POLY_INIT (-904158677, 517105527),
POLY_INIT (421617019, 75367458),
POLY_INIT (-1841613998, 394407860),
POLY_INIT (46727234, 284465679),
POLY_INIT (-1982632341, 50901401),
POLY_INIT (590177890, 505016696),
POLY_INIT (-1472788405, 233167598),
POLY_INIT (952449883, 177434453),
POLY_INIT (-1277209230, 426722499),
POLY_INIT (-1821621104, 213475582),
POLY_INIT (410397369, 524634984),
POLY_INIT (-2004608599, 406060755),
POLY_INIT (60716928, 198169925),
POLY_INIT (-1453293687, 383686052),
POLY_INIT (578425248, 86162994),
POLY_INIT (-1299701072, 39062409),
POLY_INIT (965889177, 296230943),
POLY_INIT (-358042679, 184828746),
POLY_INIT (1639112160, 418932956),
POLY_INIT (-247402768, 529456487),
POLY_INIT (2052751577, 208860913),
POLY_INIT (-794523440, 291747344),
POLY_INIT (1539237625, 44014982),
POLY_INIT (-884156951, 99166269),
POLY_INIT (1079425984, 370475947),
POLY_INIT (1141722341, 330071524),
POLY_INIT (-820567348, 5265010),
POLY_INIT (1608847836, 119989193),
POLY_INIT (-721453067, 349882463),
POLY_INIT (2114025468, 164333758),
POLY_INIT (-182773291, 439853864),
POLY_INIT (1709779653, 490804883),
POLY_INIT (-286046996, 247282949),
POLY_INIT (1036630972, 336682576),
POLY_INIT (-1227631211, 133002694),
POLY_INIT (639755909, 10207357),
POLY_INIT (-1388607316, 325577707),
POLY_INIT (130384037, 242658058),
POLY_INIT (-1931481460, 495616156),
POLY_INIT (472767900, 452736295),
POLY_INIT (-1757957195, 151002801),
POLY_INIT (-1216044457, 483801740),
POLY_INIT (1017039998, 254415130),
POLY_INIT (-1402142866, 140289185),
POLY_INIT (662081863, 463507255),
POLY_INIT (-1920427698, 112316374),
POLY_INIT (110294887, 357426240),
POLY_INIT (-1772043145, 305877499),
POLY_INIT (494578270, 29850221),
POLY_INIT (-834644722, 460003640),
POLY_INIT (1163541287, 144126638),
POLY_INIT (-710408137, 266438421),
POLY_INIT (1588749854, 471706755),
POLY_INIT (-196317673, 17624162),
POLY_INIT (2136342590, 317769716),
POLY_INIT (-274451666, 361132623),
POLY_INIT (1690197255, 108681689),
POLY_INIT (-1558277759, 223933237),
POLY_INIT (671416232, 514119843),
POLY_INIT (-1191785288, 433220888),
POLY_INIT (871146129, 170804878),
POLY_INIT (-1726829928, 390006383),
POLY_INIT (302564529, 79900153),
POLY_INIT (-2097481823, 62232642),
POLY_INIT (165714312, 273265620),
POLY_INIT (-623221032, 182833281),
POLY_INIT (1371539697, 421133079),
POLY_INIT (-1053672479, 510611116),
POLY_INIT (1244157384, 227763514),
POLY_INIT (-522822207, 276964827),
POLY_INIT (1808544744, 58592845),
POLY_INIT (-79822600, 67681270),
POLY_INIT (1881435857, 401903712),
POLY_INIT (1352105779, 35828829),
POLY_INIT (-611512038, 299802571),
POLY_INIT (1266622986, 380119664),
POLY_INIT (-1067103197, 89391590),
POLY_INIT (1788560426, 407191815),
POLY_INIT (-511628797, 196700817),
POLY_INIT (1903368467, 214949674),
POLY_INIT (-93751494, 523498684),
POLY_INIT (693340266, 94345193),
POLY_INIT (-1572215229, 375635071),
POLY_INIT (851170643, 286591428),
POLY_INIT (-1180583046, 48833106),
POLY_INIT (325038963, 536371891),
POLY_INIT (-1740251814, 201607461),
POLY_INIT (146271818, 192085150),
POLY_INIT (-2085781405, 412014344)
};
static const poly_t
poly80[256]
/* poly80[i] = i(x) * X^80 MOD P */
= {POLY_INIT (0, 0),
POLY_INIT (-1753253426, 125726524),
POLY_INIT (788460444, 251453049),
POLY_INIT (-1182692782, 159560005),
POLY_INIT (1576920888, 502906098),
POLY_INIT (-897409290, 445109198),
POLY_INIT (1929581732, 319120011),
POLY_INIT (-461607574, 343608759),
POLY_INIT (-1238937829, 142717156),
POLY_INIT (559429333, 268427224),
POLY_INIT (-1730560889, 108883613),
POLY_INIT (262587721, 16974241),
POLY_INIT (-337991645, 360188950),
POLY_INIT (2091241965, 302408490),
POLY_INIT (-987472961, 461689455),
POLY_INIT (1381704305, 486194515),
POLY_INIT (1817091638, 285434313),
POLY_INIT (-80615432, 377294581),
POLY_INIT (1118858666, 536854448),
POLY_INIT (-707849116, 411160716),
POLY_INIT (833845518, 217767227),
POLY_INIT (-1496579904, 193245703),
POLY_INIT (525175442, 33948482),
POLY_INIT (-2009926820, 91778174),
POLY_INIT (-630599379, 428003629),
POLY_INIT (1293330659, 519880209),
POLY_INIT (-191421775, 394137428),
POLY_INIT (1676172159, 268460136),
POLY_INIT (-2020329963, 75197919),
POLY_INIT (283856859, 50660067),
POLY_INIT (-1452620407, 176665510),
POLY_INIT (1041611847, 234478746),
POLY_INIT (-717112057, 292817554),
POLY_INIT (1111409865, 369780142),
POLY_INIT (-71348581, 529061099),
POLY_INIT (1824536405, 418823127),
POLY_INIT (-2000922049, 210613856),
POLY_INIT (532882417, 200530268),
POLY_INIT (-1505580637, 40986649),
POLY_INIT (826134637, 84870949),
POLY_INIT (1667691036, 435534454),
POLY_INIT (-199652398, 512480586),
POLY_INIT (1301807488, 386491407),
POLY_INIT (-622364594, 276237107),
POLY_INIT (1050350884, 67896964),
POLY_INIT (-1444647702, 57829816),
POLY_INIT (275113656, 183556349),
POLY_INIT (-2028298378, 227456961),
POLY_INIT (-1190190287, 7826267),
POLY_INIT (779115263, 118031463),
POLY_INIT (-1745760083, 244036898),
POLY_INIT (9349475, 167107102),
POLY_INIT (-453852151, 495900585),
POLY_INIT (1938668999, 451983509),
POLY_INIT (-905169003, 326240720),
POLY_INIT (1567837787, 336357100),
POLY_INIT (254307370, 150395839),
POLY_INIT (-1739123228, 260617347),
POLY_INIT (567713718, 101320134),
POLY_INIT (-1230379400, 24406778),
POLY_INIT (1389726482, 353331021),
POLY_INIT (-978652452, 309397617),
POLY_INIT (2083223694, 468957492),
POLY_INIT (-346816192, 479057416),
POLY_INIT (-1486881947, 295361573),
POLY_INIT (807436971, 384086809),
POLY_INIT (-1985935111, 526778972),
POLY_INIT (517894455, 404254048),
POLY_INIT (-90039203, 207839447),
POLY_INIT (1843226003, 186453995),
POLY_INIT (-732106815, 44023470),
POLY_INIT (1126405647, 98685330),
POLY_INIT (293123198, 421227713),
POLY_INIT (-2046308944, 509936637),
POLY_INIT (1065764834, 401060536),
POLY_INIT (-1460060628, 278519172),
POLY_INIT (1283806022, 81973299),
POLY_INIT (-604362104, 60604175),
POLY_INIT (1652269274, 169741898),
POLY_INIT (-184231660, 224420214),
POLY_INIT (-888052397, 10075628),
POLY_INIT (1550720157, 132633296),
POLY_INIT (-437283121, 241525653),
POLY_INIT (1922100993, 152767657),
POLY_INIT (-1762885013, 492831006),
POLY_INIT (26475429, 438201890),
POLY_INIT (-1206750729, 329047911),
POLY_INIT (795674681, 350400603),
POLY_INIT (2100701768, 135793928),
POLY_INIT (-364293242, 258368052),
POLY_INIT (1405671892, 115659633),
POLY_INIT (-994598886, 26917965),
POLY_INIT (550227312, 367112698),
POLY_INIT (-1212894018, 312467142),
POLY_INIT (238370540, 454913923),
POLY_INIT (-1723185374, 476250303),
POLY_INIT (1914586722, 15652535),
POLY_INIT (-446611540, 126925195),
POLY_INIT (1558230526, 236062926),
POLY_INIT (-878719952, 158099442),
POLY_INIT (803447130, 488073797),
POLY_INIT (-1197680492, 443090297),
POLY_INIT (18698950, 334214204),
POLY_INIT (-1771951352, 345365248),
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POLY_INIT (-1468557489, 426510234),
POLY_INIT (1057549953, 504522918),
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POLY_INIT (-175476617, 76921704),
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POLY_INIT (-736358801, 389619319),
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POLY_INIT (-180078406, 415678895),
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POLY_INIT (-608515290, 372907990),
POLY_INIT (1288024808, 289698026),
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POLY_INIT (1069983308, 37818977),
POLY_INIT (-2042156002, 197370660),
POLY_INIT (288904656, 213765144),
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POLY_INIT (-1202548647, 104497086),
POLY_INIT (30611979, 263769851),
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POLY_INIT (-998643497, 499762826),
POLY_INIT (-93563760, 271587856),
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POLY_INIT (820955750, 179816926),
POLY_INIT (-1989197772, 53835931),
POLY_INIT (504379898, 72030119),
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POLY_INIT (-617323963, 533710280),
POLY_INIT (1656088599, 374174861),
POLY_INIT (-171273767, 288562097),
POLY_INIT (297204915, 88610310),
POLY_INIT (-2033613443, 37124410),
POLY_INIT (1061687087, 196397183),
POLY_INIT (-1472760095, 214607683),
POLY_INIT (-465793852, 31305070),
POLY_INIT (1933833482, 111395410),
POLY_INIT (-893223080, 253850391),
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POLY_INIT (-1178506244, 472125852),
POLY_INIT (784208434, 458915488),
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POLY_INIT (-983254511, 237138614),
POLY_INIT (2095394883, 127976435),
POLY_INIT (-342210163, 14593231),
POLY_INIT (266740967, 346399096),
POLY_INIT (-1734779607, 333172292),