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Diffstat (limited to 'libtomcrypt/src/math/tfm_desc.c')
| -rw-r--r-- | libtomcrypt/src/math/tfm_desc.c | 777 |
1 files changed, 777 insertions, 0 deletions
diff --git a/libtomcrypt/src/math/tfm_desc.c b/libtomcrypt/src/math/tfm_desc.c new file mode 100644 index 0000000..023756d --- /dev/null +++ b/libtomcrypt/src/math/tfm_desc.c @@ -0,0 +1,777 @@ +/* LibTomCrypt, modular cryptographic library -- Tom St Denis + * + * LibTomCrypt is a library that provides various cryptographic + * algorithms in a highly modular and flexible manner. + * + * The library is free for all purposes without any express + * guarantee it works. + * + * Tom St Denis, tomstdenis@gmail.com, http://libtomcrypt.com + */ + +#define DESC_DEF_ONLY +#include "tomcrypt.h" + +#ifdef TFM_DESC + +#include <tfm.h> + +static const struct { + int tfm_code, ltc_code; +} tfm_to_ltc_codes[] = { + { FP_OKAY , CRYPT_OK}, + { FP_MEM , CRYPT_MEM}, + { FP_VAL , CRYPT_INVALID_ARG}, +}; + +/** + Convert a tfm error to a LTC error (Possibly the most powerful function ever! Oh wait... no) + @param err The error to convert + @return The equivalent LTC error code or CRYPT_ERROR if none found +*/ +static int tfm_to_ltc_error(int err) +{ + int x; + + for (x = 0; x < (int)(sizeof(tfm_to_ltc_codes)/sizeof(tfm_to_ltc_codes[0])); x++) { + if (err == tfm_to_ltc_codes[x].tfm_code) { + return tfm_to_ltc_codes[x].ltc_code; + } + } + return CRYPT_ERROR; +} + +static int init(void **a) +{ + LTC_ARGCHK(a != NULL); + + *a = XCALLOC(1, sizeof(fp_int)); + if (*a == NULL) { + return CRYPT_MEM; + } + fp_init(*a); + return CRYPT_OK; +} + +static void deinit(void *a) +{ + LTC_ARGCHKVD(a != NULL); + XFREE(a); +} + +static int neg(void *a, void *b) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + fp_neg(((fp_int*)a), ((fp_int*)b)); + return CRYPT_OK; +} + +static int copy(void *a, void *b) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + fp_copy(a, b); + return CRYPT_OK; +} + +static int init_copy(void **a, void *b) +{ + if (init(a) != CRYPT_OK) { + return CRYPT_MEM; + } + return copy(b, *a); +} + +/* ---- trivial ---- */ +static int set_int(void *a, unsigned long b) +{ + LTC_ARGCHK(a != NULL); + fp_set(a, b); + return CRYPT_OK; +} + +static unsigned long get_int(void *a) +{ + fp_int *A; + LTC_ARGCHK(a != NULL); + A = a; + return A->used > 0 ? A->dp[0] : 0; +} + +static unsigned long get_digit(void *a, int n) +{ + fp_int *A; + LTC_ARGCHK(a != NULL); + A = a; + return (n >= A->used || n < 0) ? 0 : A->dp[n]; +} + +static int get_digit_count(void *a) +{ + fp_int *A; + LTC_ARGCHK(a != NULL); + A = a; + return A->used; +} + +static int compare(void *a, void *b) +{ + int ret; + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + ret = fp_cmp(a, b); + switch (ret) { + case FP_LT: return LTC_MP_LT; + case FP_EQ: return LTC_MP_EQ; + case FP_GT: return LTC_MP_GT; + } + return 0; +} + +static int compare_d(void *a, unsigned long b) +{ + int ret; + LTC_ARGCHK(a != NULL); + ret = fp_cmp_d(a, b); + switch (ret) { + case FP_LT: return LTC_MP_LT; + case FP_EQ: return LTC_MP_EQ; + case FP_GT: return LTC_MP_GT; + } + return 0; +} + +static int count_bits(void *a) +{ + LTC_ARGCHK(a != NULL); + return fp_count_bits(a); +} + +static int count_lsb_bits(void *a) +{ + LTC_ARGCHK(a != NULL); + return fp_cnt_lsb(a); +} + +static int twoexpt(void *a, int n) +{ + LTC_ARGCHK(a != NULL); + fp_2expt(a, n); + return CRYPT_OK; +} + +/* ---- conversions ---- */ + +/* read ascii string */ +static int read_radix(void *a, const char *b, int radix) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + return tfm_to_ltc_error(fp_read_radix(a, (char *)b, radix)); +} + +/* write one */ +static int write_radix(void *a, char *b, int radix) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + return tfm_to_ltc_error(fp_toradix(a, b, radix)); +} + +/* get size as unsigned char string */ +static unsigned long unsigned_size(void *a) +{ + LTC_ARGCHK(a != NULL); + return fp_unsigned_bin_size(a); +} + +/* store */ +static int unsigned_write(void *a, unsigned char *b) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + fp_to_unsigned_bin(a, b); + return CRYPT_OK; +} + +/* read */ +static int unsigned_read(void *a, unsigned char *b, unsigned long len) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + fp_read_unsigned_bin(a, b, len); + return CRYPT_OK; +} + +/* add */ +static int add(void *a, void *b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + fp_add(a, b, c); + return CRYPT_OK; +} + +static int addi(void *a, unsigned long b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(c != NULL); + fp_add_d(a, b, c); + return CRYPT_OK; +} + +/* sub */ +static int sub(void *a, void *b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + fp_sub(a, b, c); + return CRYPT_OK; +} + +static int subi(void *a, unsigned long b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(c != NULL); + fp_sub_d(a, b, c); + return CRYPT_OK; +} + +/* mul */ +static int mul(void *a, void *b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + fp_mul(a, b, c); + return CRYPT_OK; +} + +static int muli(void *a, unsigned long b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(c != NULL); + fp_mul_d(a, b, c); + return CRYPT_OK; +} + +/* sqr */ +static int sqr(void *a, void *b) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + fp_sqr(a, b); + return CRYPT_OK; +} + +/* div */ +static int divide(void *a, void *b, void *c, void *d) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + return tfm_to_ltc_error(fp_div(a, b, c, d)); +} + +static int div_2(void *a, void *b) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + fp_div_2(a, b); + return CRYPT_OK; +} + +/* modi */ +static int modi(void *a, unsigned long b, unsigned long *c) +{ + fp_digit tmp; + int err; + + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(c != NULL); + + if ((err = tfm_to_ltc_error(fp_mod_d(a, b, &tmp))) != CRYPT_OK) { + return err; + } + *c = tmp; + return CRYPT_OK; +} + +/* gcd */ +static int gcd(void *a, void *b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + fp_gcd(a, b, c); + return CRYPT_OK; +} + +/* lcm */ +static int lcm(void *a, void *b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + fp_lcm(a, b, c); + return CRYPT_OK; +} + +static int mulmod(void *a, void *b, void *c, void *d) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + LTC_ARGCHK(d != NULL); + return tfm_to_ltc_error(fp_mulmod(a,b,c,d)); +} + +static int sqrmod(void *a, void *b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + return tfm_to_ltc_error(fp_sqrmod(a,b,c)); +} + +/* invmod */ +static int invmod(void *a, void *b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + return tfm_to_ltc_error(fp_invmod(a, b, c)); +} + +/* setup */ +static int montgomery_setup(void *a, void **b) +{ + int err; + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + *b = XCALLOC(1, sizeof(fp_digit)); + if (*b == NULL) { + return CRYPT_MEM; + } + if ((err = tfm_to_ltc_error(fp_montgomery_setup(a, (fp_digit *)*b))) != CRYPT_OK) { + XFREE(*b); + } + return err; +} + +/* get normalization value */ +static int montgomery_normalization(void *a, void *b) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + fp_montgomery_calc_normalization(a, b); + return CRYPT_OK; +} + +/* reduce */ +static int montgomery_reduce(void *a, void *b, void *c) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + fp_montgomery_reduce(a, b, *((fp_digit *)c)); + return CRYPT_OK; +} + +/* clean up */ +static void montgomery_deinit(void *a) +{ + XFREE(a); +} + +static int exptmod(void *a, void *b, void *c, void *d) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + LTC_ARGCHK(c != NULL); + LTC_ARGCHK(d != NULL); + return tfm_to_ltc_error(fp_exptmod(a,b,c,d)); +} + +static int isprime(void *a, int *b) +{ + LTC_ARGCHK(a != NULL); + LTC_ARGCHK(b != NULL); + *b = (fp_isprime(a) == FP_YES) ? LTC_MP_YES : LTC_MP_NO; + return CRYPT_OK; +} + +#if defined(MECC) && defined(MECC_ACCEL) + +static int tfm_ecc_projective_dbl_point(ecc_point *P, ecc_point *R, void *modulus, void *Mp) +{ + fp_int t1, t2; + fp_digit mp; + + LTC_ARGCHK(P != NULL); + LTC_ARGCHK(R != NULL); + LTC_ARGCHK(modulus != NULL); + LTC_ARGCHK(Mp != NULL); + + mp = *((fp_digit*)Mp); + + fp_init(&t1); + fp_init(&t2); + + if (P != R) { + fp_copy(P->x, R->x); + fp_copy(P->y, R->y); + fp_copy(P->z, R->z); + } + + /* t1 = Z * Z */ + fp_sqr(R->z, &t1); + fp_montgomery_reduce(&t1, modulus, mp); + /* Z = Y * Z */ + fp_mul(R->z, R->y, R->z); + fp_montgomery_reduce(R->z, modulus, mp); + /* Z = 2Z */ + fp_add(R->z, R->z, R->z); + if (fp_cmp(R->z, modulus) != FP_LT) { + fp_sub(R->z, modulus, R->z); + } + + /* &t2 = X - T1 */ + fp_sub(R->x, &t1, &t2); + if (fp_cmp_d(&t2, 0) == FP_LT) { + fp_add(&t2, modulus, &t2); + } + /* T1 = X + T1 */ + fp_add(&t1, R->x, &t1); + if (fp_cmp(&t1, modulus) != FP_LT) { + fp_sub(&t1, modulus, &t1); + } + /* T2 = T1 * T2 */ + fp_mul(&t1, &t2, &t2); + fp_montgomery_reduce(&t2, modulus, mp); + /* T1 = 2T2 */ + fp_add(&t2, &t2, &t1); + if (fp_cmp(&t1, modulus) != FP_LT) { + fp_sub(&t1, modulus, &t1); + } + /* T1 = T1 + T2 */ + fp_add(&t1, &t2, &t1); + if (fp_cmp(&t1, modulus) != FP_LT) { + fp_sub(&t1, modulus, &t1); + } + + /* Y = 2Y */ + fp_add(R->y, R->y, R->y); + if (fp_cmp(R->y, modulus) != FP_LT) { + fp_sub(R->y, modulus, R->y); + } + /* Y = Y * Y */ + fp_sqr(R->y, R->y); + fp_montgomery_reduce(R->y, modulus, mp); + /* T2 = Y * Y */ + fp_sqr(R->y, &t2); + fp_montgomery_reduce(&t2, modulus, mp); + /* T2 = T2/2 */ + if (fp_isodd(&t2)) { + fp_add(&t2, modulus, &t2); + } + fp_div_2(&t2, &t2); + /* Y = Y * X */ + fp_mul(R->y, R->x, R->y); + fp_montgomery_reduce(R->y, modulus, mp); + + /* X = T1 * T1 */ + fp_sqr(&t1, R->x); + fp_montgomery_reduce(R->x, modulus, mp); + /* X = X - Y */ + fp_sub(R->x, R->y, R->x); + if (fp_cmp_d(R->x, 0) == FP_LT) { + fp_add(R->x, modulus, R->x); + } + /* X = X - Y */ + fp_sub(R->x, R->y, R->x); + if (fp_cmp_d(R->x, 0) == FP_LT) { + fp_add(R->x, modulus, R->x); + } + + /* Y = Y - X */ + fp_sub(R->y, R->x, R->y); + if (fp_cmp_d(R->y, 0) == FP_LT) { + fp_add(R->y, modulus, R->y); + } + /* Y = Y * T1 */ + fp_mul(R->y, &t1, R->y); + fp_montgomery_reduce(R->y, modulus, mp); + /* Y = Y - T2 */ + fp_sub(R->y, &t2, R->y); + if (fp_cmp_d(R->y, 0) == FP_LT) { + fp_add(R->y, modulus, R->y); + } + + return CRYPT_OK; +} + +/** + Add two ECC points + @param P The point to add + @param Q The point to add + @param R [out] The destination of the double + @param modulus The modulus of the field the ECC curve is in + @param mp The "b" value from montgomery_setup() + @return CRYPT_OK on success +*/ +static int tfm_ecc_projective_add_point(ecc_point *P, ecc_point *Q, ecc_point *R, void *modulus, void *Mp) +{ + fp_int t1, t2, x, y, z; + fp_digit mp; + + LTC_ARGCHK(P != NULL); + LTC_ARGCHK(Q != NULL); + LTC_ARGCHK(R != NULL); + LTC_ARGCHK(modulus != NULL); + LTC_ARGCHK(Mp != NULL); + + mp = *((fp_digit*)Mp); + + fp_init(&t1); + fp_init(&t2); + fp_init(&x); + fp_init(&y); + fp_init(&z); + + /* should we dbl instead? */ + fp_sub(modulus, Q->y, &t1); + if ( (fp_cmp(P->x, Q->x) == FP_EQ) && + (Q->z != NULL && fp_cmp(P->z, Q->z) == FP_EQ) && + (fp_cmp(P->y, Q->y) == FP_EQ || fp_cmp(P->y, &t1) == FP_EQ)) { + return tfm_ecc_projective_dbl_point(P, R, modulus, Mp); + } + + fp_copy(P->x, &x); + fp_copy(P->y, &y); + fp_copy(P->z, &z); + + /* if Z is one then these are no-operations */ + if (Q->z != NULL) { + /* T1 = Z' * Z' */ + fp_sqr(Q->z, &t1); + fp_montgomery_reduce(&t1, modulus, mp); + /* X = X * T1 */ + fp_mul(&t1, &x, &x); + fp_montgomery_reduce(&x, modulus, mp); + /* T1 = Z' * T1 */ + fp_mul(Q->z, &t1, &t1); + fp_montgomery_reduce(&t1, modulus, mp); + /* Y = Y * T1 */ + fp_mul(&t1, &y, &y); + fp_montgomery_reduce(&y, modulus, mp); + } + + /* T1 = Z*Z */ + fp_sqr(&z, &t1); + fp_montgomery_reduce(&t1, modulus, mp); + /* T2 = X' * T1 */ + fp_mul(Q->x, &t1, &t2); + fp_montgomery_reduce(&t2, modulus, mp); + /* T1 = Z * T1 */ + fp_mul(&z, &t1, &t1); + fp_montgomery_reduce(&t1, modulus, mp); + /* T1 = Y' * T1 */ + fp_mul(Q->y, &t1, &t1); + fp_montgomery_reduce(&t1, modulus, mp); + + /* Y = Y - T1 */ + fp_sub(&y, &t1, &y); + if (fp_cmp_d(&y, 0) == FP_LT) { + fp_add(&y, modulus, &y); + } + /* T1 = 2T1 */ + fp_add(&t1, &t1, &t1); + if (fp_cmp(&t1, modulus) != FP_LT) { + fp_sub(&t1, modulus, &t1); + } + /* T1 = Y + T1 */ + fp_add(&t1, &y, &t1); + if (fp_cmp(&t1, modulus) != FP_LT) { + fp_sub(&t1, modulus, &t1); + } + /* X = X - T2 */ + fp_sub(&x, &t2, &x); + if (fp_cmp_d(&x, 0) == FP_LT) { + fp_add(&x, modulus, &x); + } + /* T2 = 2T2 */ + fp_add(&t2, &t2, &t2); + if (fp_cmp(&t2, modulus) != FP_LT) { + fp_sub(&t2, modulus, &t2); + } + /* T2 = X + T2 */ + fp_add(&t2, &x, &t2); + if (fp_cmp(&t2, modulus) != FP_LT) { + fp_sub(&t2, modulus, &t2); + } + + /* if Z' != 1 */ + if (Q->z != NULL) { + /* Z = Z * Z' */ + fp_mul(&z, Q->z, &z); + fp_montgomery_reduce(&z, modulus, mp); + } + + /* Z = Z * X */ + fp_mul(&z, &x, &z); + fp_montgomery_reduce(&z, modulus, mp); + + /* T1 = T1 * X */ + fp_mul(&t1, &x, &t1); + fp_montgomery_reduce(&t1, modulus, mp); + /* X = X * X */ + fp_sqr(&x, &x); + fp_montgomery_reduce(&x, modulus, mp); + /* T2 = T2 * x */ + fp_mul(&t2, &x, &t2); + fp_montgomery_reduce(&t2, modulus, mp); + /* T1 = T1 * X */ + fp_mul(&t1, &x, &t1); + fp_montgomery_reduce(&t1, modulus, mp); + + /* X = Y*Y */ + fp_sqr(&y, &x); + fp_montgomery_reduce(&x, modulus, mp); + /* X = X - T2 */ + fp_sub(&x, &t2, &x); + if (fp_cmp_d(&x, 0) == FP_LT) { + fp_add(&x, modulus, &x); + } + + /* T2 = T2 - X */ + fp_sub(&t2, &x, &t2); + if (fp_cmp_d(&t2, 0) == FP_LT) { + fp_add(&t2, modulus, &t2); + } + /* T2 = T2 - X */ + fp_sub(&t2, &x, &t2); + if (fp_cmp_d(&t2, 0) == FP_LT) { + fp_add(&t2, modulus, &t2); + } + /* T2 = T2 * Y */ + fp_mul(&t2, &y, &t2); + fp_montgomery_reduce(&t2, modulus, mp); + /* Y = T2 - T1 */ + fp_sub(&t2, &t1, &y); + if (fp_cmp_d(&y, 0) == FP_LT) { + fp_add(&y, modulus, &y); + } + /* Y = Y/2 */ + if (fp_isodd(&y)) { + fp_add(&y, modulus, &y); + } + fp_div_2(&y, &y); + + fp_copy(&x, R->x); + fp_copy(&y, R->y); + fp_copy(&z, R->z); + + return CRYPT_OK; +} + + +#endif + +const ltc_math_descriptor tfm_desc = { + + "TomsFastMath", + (int)DIGIT_BIT, + + &init, + &init_copy, + &deinit, + + &neg, + ©, + + &set_int, + &get_int, + &get_digit, + &get_digit_count, + &compare, + &compare_d, + &count_bits, + &count_lsb_bits, + &twoexpt, + + &read_radix, + &write_radix, + &unsigned_size, + &unsigned_write, + &unsigned_read, + + &add, + &addi, + &sub, + &subi, + &mul, + &muli, + &sqr, + ÷, + &div_2, + &modi, + &gcd, + &lcm, + + &mulmod, + &sqrmod, + &invmod, + + &montgomery_setup, + &montgomery_normalization, + &montgomery_reduce, + &montgomery_deinit, + + &exptmod, + &isprime, + +#ifdef MECC +#ifdef MECC_FP + <c_ecc_fp_mulmod, +#else + <c_ecc_mulmod, +#endif /* MECC_FP */ +#ifdef MECC_ACCEL + &tfm_ecc_projective_add_point, + &tfm_ecc_projective_dbl_point, +#else + <c_ecc_projective_add_point, + <c_ecc_projective_dbl_point, +#endif /* MECC_ACCEL */ + <c_ecc_map, +#ifdef LTC_ECC_SHAMIR +#ifdef MECC_FP + <c_ecc_fp_mul2add, +#else + <c_ecc_mul2add, +#endif /* MECC_FP */ +#else + NULL, +#endif /* LTC_ECC_SHAMIR */ +#else + NULL, NULL, NULL, NULL, NULL, +#endif /* MECC */ + +#ifdef MRSA + &rsa_make_key, + &rsa_exptmod, +#else + NULL, NULL +#endif + +}; + + +#endif + +/* $Source: /cvs/libtom/libtomcrypt/src/math/tfm_desc.c,v $ */ +/* $Revision: 1.26 $ */ +/* $Date: 2006/12/03 00:39:56 $ */ |