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-rw-r--r--libtommath/bn_mp_prime_frobenius_underwood.c138
1 files changed, 36 insertions, 102 deletions
diff --git a/libtommath/bn_mp_prime_frobenius_underwood.c b/libtommath/bn_mp_prime_frobenius_underwood.c
index 718ddf7..253e8d5 100644
--- a/libtommath/bn_mp_prime_frobenius_underwood.c
+++ b/libtommath/bn_mp_prime_frobenius_underwood.c
@@ -1,22 +1,13 @@
#include "tommath_private.h"
#ifdef BN_MP_PRIME_FROBENIUS_UNDERWOOD_C
-/* LibTomMath, multiple-precision integer library -- Tom St Denis
- *
- * LibTomMath is a library that provides multiple-precision
- * integer arithmetic as well as number theoretic functionality.
- *
- * The library was designed directly after the MPI library by
- * Michael Fromberger but has been written from scratch with
- * additional optimizations in place.
- *
- * SPDX-License-Identifier: Unlicense
- */
+/* LibTomMath, multiple-precision integer library -- Tom St Denis */
+/* SPDX-License-Identifier: Unlicense */
/*
* See file bn_mp_prime_is_prime.c or the documentation in doc/bn.tex for the details
*/
-#ifndef LTM_USE_FIPS_ONLY
+#ifndef LTM_USE_ONLY_MR
#ifdef MP_8BIT
/*
@@ -32,17 +23,17 @@
#else
#define LTM_FROBENIUS_UNDERWOOD_A 32764
#endif
-int mp_prime_frobenius_underwood(const mp_int *N, int *result)
+mp_err mp_prime_frobenius_underwood(const mp_int *N, mp_bool *result)
{
mp_int T1z, T2z, Np1z, sz, tz;
- int a, ap2, length, i, j, isset;
- int e;
+ int a, ap2, length, i, j;
+ mp_err err;
*result = MP_NO;
- if ((e = mp_init_multi(&T1z, &T2z, &Np1z, &sz, &tz, NULL)) != MP_OKAY) {
- return e;
+ if ((err = mp_init_multi(&T1z, &T2z, &Np1z, &sz, &tz, NULL)) != MP_OKAY) {
+ return err;
}
for (a = 0; a < LTM_FROBENIUS_UNDERWOOD_A; a++) {
@@ -52,21 +43,13 @@ int mp_prime_frobenius_underwood(const mp_int *N, int *result)
continue;
}
/* (32764^2 - 4) < 2^31, no bigint for >MP_8BIT needed) */
- if ((e = mp_set_long(&T1z, (unsigned long)a)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ mp_set_u32(&T1z, (uint32_t)a);
- if ((e = mp_sqr(&T1z, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ if ((err = mp_sqr(&T1z, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
- if ((e = mp_sub_d(&T1z, 4uL, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ if ((err = mp_sub_d(&T1z, 4uL, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
- if ((e = mp_kronecker(&T1z, N, &j)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ if ((err = mp_kronecker(&T1z, N, &j)) != MP_OKAY) goto LBL_FU_ERR;
if (j == -1) {
break;
@@ -79,26 +62,18 @@ int mp_prime_frobenius_underwood(const mp_int *N, int *result)
}
/* Tell it a composite and set return value accordingly */
if (a >= LTM_FROBENIUS_UNDERWOOD_A) {
- e = MP_ITER;
+ err = MP_ITER;
goto LBL_FU_ERR;
}
/* Composite if N and (a+4)*(2*a+5) are not coprime */
- if ((e = mp_set_long(&T1z, (unsigned long)((a+4)*((2*a)+5)))) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ mp_set_u32(&T1z, (uint32_t)((a+4)*((2*a)+5)));
- if ((e = mp_gcd(N, &T1z, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ if ((err = mp_gcd(N, &T1z, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
- if (!((T1z.used == 1) && (T1z.dp[0] == 1u))) {
- goto LBL_FU_ERR;
- }
+ if (!((T1z.used == 1) && (T1z.dp[0] == 1u))) goto LBL_FU_ERR;
ap2 = a + 2;
- if ((e = mp_add_d(N, 1uL, &Np1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ if ((err = mp_add_d(N, 1uL, &Np1z)) != MP_OKAY) goto LBL_FU_ERR;
mp_set(&sz, 1uL);
mp_set(&tz, 2uL);
@@ -110,89 +85,48 @@ int mp_prime_frobenius_underwood(const mp_int *N, int *result)
* tz = ((tz-sz)*(tz+sz))%N;
* sz = temp;
*/
- if ((e = mp_mul_2(&tz, &T2z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ if ((err = mp_mul_2(&tz, &T2z)) != MP_OKAY) goto LBL_FU_ERR;
/* a = 0 at about 50% of the cases (non-square and odd input) */
if (a != 0) {
- if ((e = mp_mul_d(&sz, (mp_digit)a, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_add(&T1z, &T2z, &T2z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ if ((err = mp_mul_d(&sz, (mp_digit)a, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
+ if ((err = mp_add(&T1z, &T2z, &T2z)) != MP_OKAY) goto LBL_FU_ERR;
}
- if ((e = mp_mul(&T2z, &sz, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_sub(&tz, &sz, &T2z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_add(&sz, &tz, &sz)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_mul(&sz, &T2z, &tz)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_mod(&tz, N, &tz)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_mod(&T1z, N, &sz)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((isset = mp_get_bit(&Np1z, i)) == MP_VAL) {
- e = isset;
- goto LBL_FU_ERR;
- }
- if (isset == MP_YES) {
+ if ((err = mp_mul(&T2z, &sz, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
+ if ((err = mp_sub(&tz, &sz, &T2z)) != MP_OKAY) goto LBL_FU_ERR;
+ if ((err = mp_add(&sz, &tz, &sz)) != MP_OKAY) goto LBL_FU_ERR;
+ if ((err = mp_mul(&sz, &T2z, &tz)) != MP_OKAY) goto LBL_FU_ERR;
+ if ((err = mp_mod(&tz, N, &tz)) != MP_OKAY) goto LBL_FU_ERR;
+ if ((err = mp_mod(&T1z, N, &sz)) != MP_OKAY) goto LBL_FU_ERR;
+ if (s_mp_get_bit(&Np1z, (unsigned int)i) == MP_YES) {
/*
* temp = (a+2) * sz + tz
* tz = 2 * tz - sz
* sz = temp
*/
if (a == 0) {
- if ((e = mp_mul_2(&sz, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
+ if ((err = mp_mul_2(&sz, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
} else {
- if ((e = mp_mul_d(&sz, (mp_digit)ap2, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- }
- if ((e = mp_add(&T1z, &tz, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_mul_2(&tz, &T2z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_sub(&T2z, &sz, &tz)) != MP_OKAY) {
- goto LBL_FU_ERR;
+ if ((err = mp_mul_d(&sz, (mp_digit)ap2, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
}
+ if ((err = mp_add(&T1z, &tz, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
+ if ((err = mp_mul_2(&tz, &T2z)) != MP_OKAY) goto LBL_FU_ERR;
+ if ((err = mp_sub(&T2z, &sz, &tz)) != MP_OKAY) goto LBL_FU_ERR;
mp_exch(&sz, &T1z);
}
}
- if ((e = mp_set_long(&T1z, (unsigned long)((2 * a) + 5))) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((e = mp_mod(&T1z, N, &T1z)) != MP_OKAY) {
- goto LBL_FU_ERR;
- }
- if ((mp_iszero(&sz) != MP_NO) && (mp_cmp(&tz, &T1z) == MP_EQ)) {
+ mp_set_u32(&T1z, (uint32_t)((2 * a) + 5));
+ if ((err = mp_mod(&T1z, N, &T1z)) != MP_OKAY) goto LBL_FU_ERR;
+ if (MP_IS_ZERO(&sz) && (mp_cmp(&tz, &T1z) == MP_EQ)) {
*result = MP_YES;
- goto LBL_FU_ERR;
}
LBL_FU_ERR:
mp_clear_multi(&tz, &sz, &Np1z, &T2z, &T1z, NULL);
- return e;
+ return err;
}
#endif
#endif
-
-/* ref: HEAD -> master, tag: v1.1.0 */
-/* git commit: 08549ad6bc8b0cede0b357a9c341c5c6473a9c55 */
-/* commit time: 2019-01-28 20:32:32 +0100 */
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