This commit is contained in:
Love Hornquist Astrand
2010-07-01 10:51:29 -07:00
parent 5ca101c63e
commit 1a625c0908
201 changed files with 57213 additions and 0 deletions

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const float s_logv_2[] = {
0.000000000, 0.000000000, 1.000000000, 0.630929754, /* 0 1 2 3 */
0.500000000, 0.430676558, 0.386852807, 0.356207187, /* 4 5 6 7 */
0.333333333, 0.315464877, 0.301029996, 0.289064826, /* 8 9 10 11 */
0.278942946, 0.270238154, 0.262649535, 0.255958025, /* 12 13 14 15 */
0.250000000, 0.244650542, 0.239812467, 0.235408913, /* 16 17 18 19 */
0.231378213, 0.227670249, 0.224243824, 0.221064729, /* 20 21 22 23 */
0.218104292, 0.215338279, 0.212746054, 0.210309918, /* 24 25 26 27 */
0.208014598, 0.205846832, 0.203795047, 0.201849087, /* 28 29 30 31 */
0.200000000, 0.198239863, 0.196561632, 0.194959022, /* 32 33 34 35 */
0.193426404, 0.191958720, 0.190551412, 0.189200360, /* 36 37 38 39 */
0.187901825, 0.186652411, 0.185449023, 0.184288833, /* 40 41 42 43 */
0.183169251, 0.182087900, 0.181042597, 0.180031327, /* 44 45 46 47 */
0.179052232, 0.178103594, 0.177183820, 0.176291434, /* 48 49 50 51 */
0.175425064, 0.174583430, 0.173765343, 0.172969690, /* 52 53 54 55 */
0.172195434, 0.171441601, 0.170707280, 0.169991616, /* 56 57 58 59 */
0.169293808, 0.168613099, 0.167948779, 0.167300179, /* 60 61 62 63 */
0.166666667
};
/* $Source: /cvs/libtom/libtommath/mtest/logtab.h,v $ */
/* $Revision: 1.2 $ */
/* $Date: 2005/05/05 14:38:47 $ */

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/* Default configuration for MPI library */
/* $Id: mpi-config.h,v 1.2 2005/05/05 14:38:47 tom Exp $ */
#ifndef MPI_CONFIG_H_
#define MPI_CONFIG_H_
/*
For boolean options,
0 = no
1 = yes
Other options are documented individually.
*/
#ifndef MP_IOFUNC
#define MP_IOFUNC 0 /* include mp_print() ? */
#endif
#ifndef MP_MODARITH
#define MP_MODARITH 1 /* include modular arithmetic ? */
#endif
#ifndef MP_NUMTH
#define MP_NUMTH 1 /* include number theoretic functions? */
#endif
#ifndef MP_LOGTAB
#define MP_LOGTAB 1 /* use table of logs instead of log()? */
#endif
#ifndef MP_MEMSET
#define MP_MEMSET 1 /* use memset() to zero buffers? */
#endif
#ifndef MP_MEMCPY
#define MP_MEMCPY 1 /* use memcpy() to copy buffers? */
#endif
#ifndef MP_CRYPTO
#define MP_CRYPTO 1 /* erase memory on free? */
#endif
#ifndef MP_ARGCHK
/*
0 = no parameter checks
1 = runtime checks, continue execution and return an error to caller
2 = assertions; dump core on parameter errors
*/
#define MP_ARGCHK 2 /* how to check input arguments */
#endif
#ifndef MP_DEBUG
#define MP_DEBUG 0 /* print diagnostic output? */
#endif
#ifndef MP_DEFPREC
#define MP_DEFPREC 64 /* default precision, in digits */
#endif
#ifndef MP_MACRO
#define MP_MACRO 1 /* use macros for frequent calls? */
#endif
#ifndef MP_SQUARE
#define MP_SQUARE 1 /* use separate squaring code? */
#endif
#ifndef MP_PTAB_SIZE
/*
When building mpprime.c, we build in a table of small prime
values to use for primality testing. The more you include,
the more space they take up. See primes.c for the possible
values (currently 16, 32, 64, 128, 256, and 6542)
*/
#define MP_PTAB_SIZE 128 /* how many built-in primes? */
#endif
#ifndef MP_COMPAT_MACROS
#define MP_COMPAT_MACROS 1 /* define compatibility macros? */
#endif
#endif /* ifndef MPI_CONFIG_H_ */
/* crc==3287762869, version==2, Sat Feb 02 06:43:53 2002 */
/* $Source: /cvs/libtom/libtommath/mtest/mpi-config.h,v $ */
/* $Revision: 1.2 $ */
/* $Date: 2005/05/05 14:38:47 $ */

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/* Type definitions generated by 'types.pl' */
typedef char mp_sign;
typedef unsigned short mp_digit; /* 2 byte type */
typedef unsigned int mp_word; /* 4 byte type */
typedef unsigned int mp_size;
typedef int mp_err;
#define MP_DIGIT_BIT (CHAR_BIT*sizeof(mp_digit))
#define MP_DIGIT_MAX USHRT_MAX
#define MP_WORD_BIT (CHAR_BIT*sizeof(mp_word))
#define MP_WORD_MAX UINT_MAX
#define MP_DIGIT_SIZE 2
#define DIGIT_FMT "%04X"
#define RADIX (MP_DIGIT_MAX+1)
/* $Source: /cvs/libtom/libtommath/mtest/mpi-types.h,v $ */
/* $Revision: 1.2 $ */
/* $Date: 2005/05/05 14:38:47 $ */

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/*
mpi.h
by Michael J. Fromberger <sting@linguist.dartmouth.edu>
Copyright (C) 1998 Michael J. Fromberger, All Rights Reserved
Arbitrary precision integer arithmetic library
$Id: mpi.h,v 1.2 2005/05/05 14:38:47 tom Exp $
*/
#ifndef _H_MPI_
#define _H_MPI_
#include "mpi-config.h"
#define MP_LT -1
#define MP_EQ 0
#define MP_GT 1
#if MP_DEBUG
#undef MP_IOFUNC
#define MP_IOFUNC 1
#endif
#if MP_IOFUNC
#include <stdio.h>
#include <ctype.h>
#endif
#include <limits.h>
#define MP_NEG 1
#define MP_ZPOS 0
/* Included for compatibility... */
#define NEG MP_NEG
#define ZPOS MP_ZPOS
#define MP_OKAY 0 /* no error, all is well */
#define MP_YES 0 /* yes (boolean result) */
#define MP_NO -1 /* no (boolean result) */
#define MP_MEM -2 /* out of memory */
#define MP_RANGE -3 /* argument out of range */
#define MP_BADARG -4 /* invalid parameter */
#define MP_UNDEF -5 /* answer is undefined */
#define MP_LAST_CODE MP_UNDEF
#include "mpi-types.h"
/* Included for compatibility... */
#define DIGIT_BIT MP_DIGIT_BIT
#define DIGIT_MAX MP_DIGIT_MAX
/* Macros for accessing the mp_int internals */
#define SIGN(MP) ((MP)->sign)
#define USED(MP) ((MP)->used)
#define ALLOC(MP) ((MP)->alloc)
#define DIGITS(MP) ((MP)->dp)
#define DIGIT(MP,N) (MP)->dp[(N)]
#if MP_ARGCHK == 1
#define ARGCHK(X,Y) {if(!(X)){return (Y);}}
#elif MP_ARGCHK == 2
#include <assert.h>
#define ARGCHK(X,Y) assert(X)
#else
#define ARGCHK(X,Y) /* */
#endif
/* This defines the maximum I/O base (minimum is 2) */
#define MAX_RADIX 64
typedef struct {
mp_sign sign; /* sign of this quantity */
mp_size alloc; /* how many digits allocated */
mp_size used; /* how many digits used */
mp_digit *dp; /* the digits themselves */
} mp_int;
/*------------------------------------------------------------------------*/
/* Default precision */
unsigned int mp_get_prec(void);
void mp_set_prec(unsigned int prec);
/*------------------------------------------------------------------------*/
/* Memory management */
mp_err mp_init(mp_int *mp);
mp_err mp_init_array(mp_int mp[], int count);
mp_err mp_init_size(mp_int *mp, mp_size prec);
mp_err mp_init_copy(mp_int *mp, mp_int *from);
mp_err mp_copy(mp_int *from, mp_int *to);
void mp_exch(mp_int *mp1, mp_int *mp2);
void mp_clear(mp_int *mp);
void mp_clear_array(mp_int mp[], int count);
void mp_zero(mp_int *mp);
void mp_set(mp_int *mp, mp_digit d);
mp_err mp_set_int(mp_int *mp, long z);
mp_err mp_shrink(mp_int *a);
/*------------------------------------------------------------------------*/
/* Single digit arithmetic */
mp_err mp_add_d(mp_int *a, mp_digit d, mp_int *b);
mp_err mp_sub_d(mp_int *a, mp_digit d, mp_int *b);
mp_err mp_mul_d(mp_int *a, mp_digit d, mp_int *b);
mp_err mp_mul_2(mp_int *a, mp_int *c);
mp_err mp_div_d(mp_int *a, mp_digit d, mp_int *q, mp_digit *r);
mp_err mp_div_2(mp_int *a, mp_int *c);
mp_err mp_expt_d(mp_int *a, mp_digit d, mp_int *c);
/*------------------------------------------------------------------------*/
/* Sign manipulations */
mp_err mp_abs(mp_int *a, mp_int *b);
mp_err mp_neg(mp_int *a, mp_int *b);
/*------------------------------------------------------------------------*/
/* Full arithmetic */
mp_err mp_add(mp_int *a, mp_int *b, mp_int *c);
mp_err mp_sub(mp_int *a, mp_int *b, mp_int *c);
mp_err mp_mul(mp_int *a, mp_int *b, mp_int *c);
mp_err mp_mul_2d(mp_int *a, mp_digit d, mp_int *c);
#if MP_SQUARE
mp_err mp_sqr(mp_int *a, mp_int *b);
#else
#define mp_sqr(a, b) mp_mul(a, a, b)
#endif
mp_err mp_div(mp_int *a, mp_int *b, mp_int *q, mp_int *r);
mp_err mp_div_2d(mp_int *a, mp_digit d, mp_int *q, mp_int *r);
mp_err mp_expt(mp_int *a, mp_int *b, mp_int *c);
mp_err mp_2expt(mp_int *a, mp_digit k);
mp_err mp_sqrt(mp_int *a, mp_int *b);
/*------------------------------------------------------------------------*/
/* Modular arithmetic */
#if MP_MODARITH
mp_err mp_mod(mp_int *a, mp_int *m, mp_int *c);
mp_err mp_mod_d(mp_int *a, mp_digit d, mp_digit *c);
mp_err mp_addmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
mp_err mp_submod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
mp_err mp_mulmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
#if MP_SQUARE
mp_err mp_sqrmod(mp_int *a, mp_int *m, mp_int *c);
#else
#define mp_sqrmod(a, m, c) mp_mulmod(a, a, m, c)
#endif
mp_err mp_exptmod(mp_int *a, mp_int *b, mp_int *m, mp_int *c);
mp_err mp_exptmod_d(mp_int *a, mp_digit d, mp_int *m, mp_int *c);
#endif /* MP_MODARITH */
/*------------------------------------------------------------------------*/
/* Comparisons */
int mp_cmp_z(mp_int *a);
int mp_cmp_d(mp_int *a, mp_digit d);
int mp_cmp(mp_int *a, mp_int *b);
int mp_cmp_mag(mp_int *a, mp_int *b);
int mp_cmp_int(mp_int *a, long z);
int mp_isodd(mp_int *a);
int mp_iseven(mp_int *a);
/*------------------------------------------------------------------------*/
/* Number theoretic */
#if MP_NUMTH
mp_err mp_gcd(mp_int *a, mp_int *b, mp_int *c);
mp_err mp_lcm(mp_int *a, mp_int *b, mp_int *c);
mp_err mp_xgcd(mp_int *a, mp_int *b, mp_int *g, mp_int *x, mp_int *y);
mp_err mp_invmod(mp_int *a, mp_int *m, mp_int *c);
#endif /* end MP_NUMTH */
/*------------------------------------------------------------------------*/
/* Input and output */
#if MP_IOFUNC
void mp_print(mp_int *mp, FILE *ofp);
#endif /* end MP_IOFUNC */
/*------------------------------------------------------------------------*/
/* Base conversion */
#define BITS 1
#define BYTES CHAR_BIT
mp_err mp_read_signed_bin(mp_int *mp, unsigned char *str, int len);
int mp_signed_bin_size(mp_int *mp);
mp_err mp_to_signed_bin(mp_int *mp, unsigned char *str);
mp_err mp_read_unsigned_bin(mp_int *mp, unsigned char *str, int len);
int mp_unsigned_bin_size(mp_int *mp);
mp_err mp_to_unsigned_bin(mp_int *mp, unsigned char *str);
int mp_count_bits(mp_int *mp);
#if MP_COMPAT_MACROS
#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
#define mp_raw_size(mp) mp_signed_bin_size(mp)
#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str))
#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
#define mp_mag_size(mp) mp_unsigned_bin_size(mp)
#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str))
#endif
mp_err mp_read_radix(mp_int *mp, unsigned char *str, int radix);
int mp_radix_size(mp_int *mp, int radix);
int mp_value_radix_size(int num, int qty, int radix);
mp_err mp_toradix(mp_int *mp, unsigned char *str, int radix);
int mp_char2value(char ch, int r);
#define mp_tobinary(M, S) mp_toradix((M), (S), 2)
#define mp_tooctal(M, S) mp_toradix((M), (S), 8)
#define mp_todecimal(M, S) mp_toradix((M), (S), 10)
#define mp_tohex(M, S) mp_toradix((M), (S), 16)
/*------------------------------------------------------------------------*/
/* Error strings */
const char *mp_strerror(mp_err ec);
#endif /* end _H_MPI_ */
/* $Source: /cvs/libtom/libtommath/mtest/mpi.h,v $ */
/* $Revision: 1.2 $ */
/* $Date: 2005/05/05 14:38:47 $ */

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/* makes a bignum test harness with NUM tests per operation
*
* the output is made in the following format [one parameter per line]
operation
operand1
operand2
[... operandN]
result1
result2
[... resultN]
So for example "a * b mod n" would be
mulmod
a
b
n
a*b mod n
e.g. if a=3, b=4 n=11 then
mulmod
3
4
11
1
*/
#ifdef MP_8BIT
#define THE_MASK 127
#else
#define THE_MASK 32767
#endif
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include "mpi.c"
FILE *rng;
void rand_num(mp_int *a)
{
int n, size;
unsigned char buf[2048];
size = 1 + ((fgetc(rng)<<8) + fgetc(rng)) % 101;
buf[0] = (fgetc(rng)&1)?1:0;
fread(buf+1, 1, size, rng);
while (buf[1] == 0) buf[1] = fgetc(rng);
mp_read_raw(a, buf, 1+size);
}
void rand_num2(mp_int *a)
{
int n, size;
unsigned char buf[2048];
size = 10 + ((fgetc(rng)<<8) + fgetc(rng)) % 101;
buf[0] = (fgetc(rng)&1)?1:0;
fread(buf+1, 1, size, rng);
while (buf[1] == 0) buf[1] = fgetc(rng);
mp_read_raw(a, buf, 1+size);
}
#define mp_to64(a, b) mp_toradix(a, b, 64)
int main(void)
{
int n, tmp;
mp_int a, b, c, d, e;
clock_t t1;
char buf[4096];
mp_init(&a);
mp_init(&b);
mp_init(&c);
mp_init(&d);
mp_init(&e);
/* initial (2^n - 1)^2 testing, makes sure the comba multiplier works [it has the new carry code] */
/*
mp_set(&a, 1);
for (n = 1; n < 8192; n++) {
mp_mul(&a, &a, &c);
printf("mul\n");
mp_to64(&a, buf);
printf("%s\n%s\n", buf, buf);
mp_to64(&c, buf);
printf("%s\n", buf);
mp_add_d(&a, 1, &a);
mp_mul_2(&a, &a);
mp_sub_d(&a, 1, &a);
}
*/
rng = fopen("/dev/urandom", "rb");
if (rng == NULL) {
rng = fopen("/dev/random", "rb");
if (rng == NULL) {
fprintf(stderr, "\nWarning: stdin used as random source\n\n");
rng = stdin;
}
}
t1 = clock();
for (;;) {
#if 0
if (clock() - t1 > CLOCKS_PER_SEC) {
sleep(2);
t1 = clock();
}
#endif
n = fgetc(rng) % 15;
if (n == 0) {
/* add tests */
rand_num(&a);
rand_num(&b);
mp_add(&a, &b, &c);
printf("add\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
mp_to64(&c, buf);
printf("%s\n", buf);
} else if (n == 1) {
/* sub tests */
rand_num(&a);
rand_num(&b);
mp_sub(&a, &b, &c);
printf("sub\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
mp_to64(&c, buf);
printf("%s\n", buf);
} else if (n == 2) {
/* mul tests */
rand_num(&a);
rand_num(&b);
mp_mul(&a, &b, &c);
printf("mul\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
mp_to64(&c, buf);
printf("%s\n", buf);
} else if (n == 3) {
/* div tests */
rand_num(&a);
rand_num(&b);
mp_div(&a, &b, &c, &d);
printf("div\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
mp_to64(&c, buf);
printf("%s\n", buf);
mp_to64(&d, buf);
printf("%s\n", buf);
} else if (n == 4) {
/* sqr tests */
rand_num(&a);
mp_sqr(&a, &b);
printf("sqr\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
} else if (n == 5) {
/* mul_2d test */
rand_num(&a);
mp_copy(&a, &b);
n = fgetc(rng) & 63;
mp_mul_2d(&b, n, &b);
mp_to64(&a, buf);
printf("mul2d\n");
printf("%s\n", buf);
printf("%d\n", n);
mp_to64(&b, buf);
printf("%s\n", buf);
} else if (n == 6) {
/* div_2d test */
rand_num(&a);
mp_copy(&a, &b);
n = fgetc(rng) & 63;
mp_div_2d(&b, n, &b, NULL);
mp_to64(&a, buf);
printf("div2d\n");
printf("%s\n", buf);
printf("%d\n", n);
mp_to64(&b, buf);
printf("%s\n", buf);
} else if (n == 7) {
/* gcd test */
rand_num(&a);
rand_num(&b);
a.sign = MP_ZPOS;
b.sign = MP_ZPOS;
mp_gcd(&a, &b, &c);
printf("gcd\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
mp_to64(&c, buf);
printf("%s\n", buf);
} else if (n == 8) {
/* lcm test */
rand_num(&a);
rand_num(&b);
a.sign = MP_ZPOS;
b.sign = MP_ZPOS;
mp_lcm(&a, &b, &c);
printf("lcm\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
mp_to64(&c, buf);
printf("%s\n", buf);
} else if (n == 9) {
/* exptmod test */
rand_num2(&a);
rand_num2(&b);
rand_num2(&c);
// if (c.dp[0]&1) mp_add_d(&c, 1, &c);
a.sign = b.sign = c.sign = 0;
mp_exptmod(&a, &b, &c, &d);
printf("expt\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
mp_to64(&c, buf);
printf("%s\n", buf);
mp_to64(&d, buf);
printf("%s\n", buf);
} else if (n == 10) {
/* invmod test */
rand_num2(&a);
rand_num2(&b);
b.sign = MP_ZPOS;
a.sign = MP_ZPOS;
mp_gcd(&a, &b, &c);
if (mp_cmp_d(&c, 1) != 0) continue;
if (mp_cmp_d(&b, 1) == 0) continue;
mp_invmod(&a, &b, &c);
printf("invmod\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
mp_to64(&c, buf);
printf("%s\n", buf);
} else if (n == 11) {
rand_num(&a);
mp_mul_2(&a, &a);
mp_div_2(&a, &b);
printf("div2\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
} else if (n == 12) {
rand_num2(&a);
mp_mul_2(&a, &b);
printf("mul2\n");
mp_to64(&a, buf);
printf("%s\n", buf);
mp_to64(&b, buf);
printf("%s\n", buf);
} else if (n == 13) {
rand_num2(&a);
tmp = abs(rand()) & THE_MASK;
mp_add_d(&a, tmp, &b);
printf("add_d\n");
mp_to64(&a, buf);
printf("%s\n%d\n", buf, tmp);
mp_to64(&b, buf);
printf("%s\n", buf);
} else if (n == 14) {
rand_num2(&a);
tmp = abs(rand()) & THE_MASK;
mp_sub_d(&a, tmp, &b);
printf("sub_d\n");
mp_to64(&a, buf);
printf("%s\n%d\n", buf, tmp);
mp_to64(&b, buf);
printf("%s\n", buf);
}
}
fclose(rng);
return 0;
}
/* $Source: /cvs/libtom/libtommath/mtest/mtest.c,v $ */
/* $Revision: 1.2 $ */
/* $Date: 2005/05/05 14:38:47 $ */