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fmpz_montgomery-test.c
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fmpz_montgomery-test.c
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/*============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
===============================================================================*/
/****************************************************************************
fmpz_montgomery-test.c: test code for fmpz_montgomery.c/h
Copyright (C) 2008, William Hart and Gonzalo Tornaria
*****************************************************************************/
#include "fmpz_montgomery.h"
int test_fmpz_montgomery_redc()
{
mpz_t num1, num2, num3, num4;
fmpz_t fnum1, fnum2, fnum3;
unsigned long bits, bits2;
int result = 1;
mpz_init(num1);
mpz_init(num2);
mpz_init(num3);
mpz_init(num4);
unsigned long i;
for (i = 0; (i < 10000) && (result == 1); i++)
{
// m
bits = random_ulong(1000) + 1;
do {
mpz_rrandomb(num1, state, bits);
const char * s = mpz_get_str(0, 10, num1);
free((void *)s);
} while( mpz_sgn(num1) == 0 || mpz_even_p(num1) );
// x
bits2 = 2*bits-1;
mpz_rrandomb(num2, state, bits2);
fnum1 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum2 = fmpz_init(FLINT_MAX((long)(bits2-1)/FLINT_BITS,0)+1);
fnum3 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
mpz_to_fmpz(fnum1, num1);
mpz_to_fmpz(fnum2, num2);
fmpz_montgomery_t mont;
fmpz_montgomery_init(mont, fnum1);
fmpz_montgomery_redc(fnum3, fnum2, mont);
fmpz_check_normalisation(fnum3);
fmpz_to_mpz(num3, fnum3);
fmpz_to_mpz(num4, mont->t);
fmpz_montgomery_clear(mont);
mpz_invert(num4, num4, num1);
mpz_mul(num4, num4, num2);
mpz_mod(num4, num4, num1);
result = (mpz_cmp(num3, num4) == 0);
fmpz_clear(fnum1);
fmpz_clear(fnum2);
fmpz_clear(fnum3);
}
mpz_clear(num1);
mpz_clear(num2);
mpz_clear(num3);
mpz_clear(num4);
return result;
}
int test_fmpz_montgomery_mulmod()
{
mpz_t num1, num2, num3, num4, num5;
fmpz_t fnum1, fnum2, fnum3, fnum4;
unsigned long bits;
int result = 1;
mpz_init(num1);
mpz_init(num2);
mpz_init(num3);
mpz_init(num4);
mpz_init(num5);
unsigned long i;
for (i = 0; (i < 10000) && (result == 1); i++)
{
// modulus
bits = random_ulong(1000) + 1;
do {
mpz_rrandomb(num1, state, bits);
} while( mpz_sgn(num1) == 0 || mpz_even_p(num1) );
mpz_rrandomb(num2, state, bits);
mpz_rrandomb(num3, state, bits);
fnum1 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum2 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum3 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum4 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
mpz_to_fmpz(fnum1, num1);
mpz_to_fmpz(fnum2, num2);
mpz_to_fmpz(fnum3, num3);
fmpz_montgomery_t mont;
fmpz_montgomery_mulmod_init(mont, fnum2, fnum1);
fmpz_montgomery_mulmod(fnum4, fnum3, mont);
fmpz_check_normalisation(fnum4);
fmpz_to_mpz(num4, fnum4);
fmpz_montgomery_clear(mont);
mpz_mul(num5, num3, num2);
mpz_mod(num5, num5, num1);
result = (mpz_cmp(num4, num5) == 0);
fmpz_clear(fnum1);
fmpz_clear(fnum2);
fmpz_clear(fnum3);
fmpz_clear(fnum4);
}
mpz_clear(num1);
mpz_clear(num2);
mpz_clear(num3);
mpz_clear(num4);
mpz_clear(num5);
return result;
}
int test_fmpz_montgomery_divmod()
{
mpz_t num1, num2, num3, num4, num5;
fmpz_t fnum1, fnum2, fnum3, fnum4;
unsigned long bits;
int result = 1;
mpz_init(num1);
mpz_init(num2);
mpz_init(num3);
mpz_init(num4);
mpz_init(num5);
unsigned long i;
for (i = 0; (i < 10000) && (result == 1); i++)
{
// m
bits = random_ulong(1000) + 1;
fnum1 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum2 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum3 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum4 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
do {
mpz_rrandomb(num1, state, bits);
const char * s = mpz_get_str(0, 10, num1);
free((void *)s);
} while( mpz_sgn(num1) == 0 || mpz_even_p(num1) );
mpz_to_fmpz(fnum1, num1);
do {
mpz_rrandomb(num2, state, bits);
mpz_to_fmpz(fnum2, num2);
fmpz_gcd(fnum3, fnum1, fnum2);
} while (!fmpz_is_one(fnum3));
mpz_rrandomb(num3, state, bits);
mpz_to_fmpz(fnum3, num3);
fmpz_montgomery_t mont;
fmpz_montgomery_divmod_init(mont, fnum2, fnum1);
fmpz_montgomery_divmod(fnum4, fnum3, mont);
fmpz_check_normalisation(fnum4);
fmpz_to_mpz(num4, fnum4);
fmpz_montgomery_clear(mont);
mpz_invert(num5, num2, num1);
mpz_mul(num5, num5, num3);
mpz_mod(num5, num5, num1);
result = (mpz_cmp(num4, num5) == 0);
fmpz_clear(fnum1);
fmpz_clear(fnum2);
fmpz_clear(fnum3);
fmpz_clear(fnum4);
}
mpz_clear(num1);
mpz_clear(num2);
mpz_clear(num3);
mpz_clear(num4);
mpz_clear(num5);
return result;
}
int test_fmpz_montgomery_mod()
{
mpz_t num1, num2, num3, num4;
fmpz_t fnum1, fnum2, fnum3;
unsigned long bits;
int result = 1;
mpz_init(num1);
mpz_init(num2);
mpz_init(num3);
mpz_init(num4);
unsigned long i;
for (i = 0; (i < 10000) && (result == 1); i++)
{
// modulus
bits = random_ulong(1000) + 1;
do {
mpz_rrandomb(num1, state, bits);
} while( mpz_sgn(num1) == 0 || mpz_even_p(num1) );
mpz_rrandomb(num2, state, bits);
fnum1 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum2 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
fnum3 = fmpz_init(FLINT_MAX((long)(bits-1)/FLINT_BITS,0)+1);
mpz_to_fmpz(fnum1, num1);
mpz_to_fmpz(fnum2, num2);
fmpz_montgomery_t mont;
fmpz_montgomery_mod_init(mont, fnum1);
fmpz_montgomery_mod(fnum3, fnum2, mont);
fmpz_check_normalisation(fnum3);
fmpz_to_mpz(num3, fnum3);
fmpz_montgomery_clear(mont);
mpz_mod(num4, num2, num1);
result = (mpz_cmp(num3, num4) == 0);
fmpz_clear(fnum1);
fmpz_clear(fnum2);
fmpz_clear(fnum3);
}
mpz_clear(num1);
mpz_clear(num2);
mpz_clear(num3);
mpz_clear(num4);
return result;
}