/* * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved. * * Licensed under the OpenSSL license (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */ #include #include #include #include "internal/cryptlib.h" #include #include "bn_lcl.h" static const char Hex[] = "0123456789ABCDEF"; /* Must 'OPENSSL_free' the returned data */ char *BN_bn2hex(const BIGNUM *a) { int i, j, v, z = 0; char *buf; char *p; if (BN_is_zero(a)) return OPENSSL_strdup("0"); buf = OPENSSL_malloc(a->top * BN_BYTES * 2 + 2); if (buf == NULL) { BNerr(BN_F_BN_BN2HEX, ERR_R_MALLOC_FAILURE); goto err; } p = buf; if (a->neg) *(p++) = '-'; if (BN_is_zero(a)) *(p++) = '0'; for (i = a->top - 1; i >= 0; i--) { for (j = BN_BITS2 - 8; j >= 0; j -= 8) { /* strip leading zeros */ v = ((int)(a->d[i] >> (long)j)) & 0xff; if (z || (v != 0)) { *(p++) = Hex[v >> 4]; *(p++) = Hex[v & 0x0f]; z = 1; } } } *p = '\0'; err: return (buf); } /* Must 'OPENSSL_free' the returned data */ char *BN_bn2dec(const BIGNUM *a) { int i = 0, num, ok = 0; char *buf = NULL; char *p; BIGNUM *t = NULL; BN_ULONG *bn_data = NULL, *lp; int bn_data_num; /*- * get an upper bound for the length of the decimal integer * num <= (BN_num_bits(a) + 1) * log(2) * <= 3 * BN_num_bits(a) * 0.101 + log(2) + 1 (rounding error) * <= 3 * BN_num_bits(a) / 10 + 3 * BN_num_bits / 1000 + 1 + 1 */ i = BN_num_bits(a) * 3; num = (i / 10 + i / 1000 + 1) + 1; bn_data_num = num / BN_DEC_NUM + 1; bn_data = OPENSSL_malloc(bn_data_num * sizeof(BN_ULONG)); buf = OPENSSL_malloc(num + 3); if ((buf == NULL) || (bn_data == NULL)) { BNerr(BN_F_BN_BN2DEC, ERR_R_MALLOC_FAILURE); goto err; } if ((t = BN_dup(a)) == NULL) goto err; #define BUF_REMAIN (num+3 - (size_t)(p - buf)) p = buf; lp = bn_data; if (BN_is_zero(t)) { *(p++) = '0'; *(p++) = '\0'; } else { if (BN_is_negative(t)) *p++ = '-'; while (!BN_is_zero(t)) { if (lp - bn_data >= bn_data_num) goto err; *lp = BN_div_word(t, BN_DEC_CONV); if (*lp == (BN_ULONG)-1) goto err; lp++; } lp--; /* * We now have a series of blocks, BN_DEC_NUM chars in length, where * the last one needs truncation. The blocks need to be reversed in * order. */ BIO_snprintf(p, BUF_REMAIN, BN_DEC_FMT1, *lp); while (*p) p++; while (lp != bn_data) { lp--; BIO_snprintf(p, BUF_REMAIN, BN_DEC_FMT2, *lp); while (*p) p++; } } ok = 1; err: OPENSSL_free(bn_data); BN_free(t); if (ok) return buf; OPENSSL_free(buf); return NULL; } int BN_hex2bn(BIGNUM **bn, const char *a) { BIGNUM *ret = NULL; BN_ULONG l = 0; int neg = 0, h, m, i, j, k, c; int num; if ((a == NULL) || (*a == '\0')) return (0); if (*a == '-') { neg = 1; a++; } for (i = 0; i <= (INT_MAX/4) && isxdigit((unsigned char)a[i]); i++) continue; if (i == 0 || i > INT_MAX/4) goto err; num = i + neg; if (bn == NULL) return (num); /* a is the start of the hex digits, and it is 'i' long */ if (*bn == NULL) { if ((ret = BN_new()) == NULL) return (0); } else { ret = *bn; BN_zero(ret); } /* i is the number of hex digits */ if (bn_expand(ret, i * 4) == NULL) goto err; j = i; /* least significant 'hex' */ m = 0; h = 0; while (j > 0) { m = ((BN_BYTES * 2) <= j) ? (BN_BYTES * 2) : j; l = 0; for (;;) { c = a[j - m]; k = OPENSSL_hexchar2int(c); if (k < 0) k = 0; /* paranoia */ l = (l << 4) | k; if (--m <= 0) { ret->d[h++] = l; break; } } j -= (BN_BYTES * 2); } ret->top = h; bn_correct_top(ret); *bn = ret; bn_check_top(ret); /* Don't set the negative flag if it's zero. */ if (ret->top != 0) ret->neg = neg; return (num); err: if (*bn == NULL) BN_free(ret); return (0); } int BN_dec2bn(BIGNUM **bn, const char *a) { BIGNUM *ret = NULL; BN_ULONG l = 0; int neg = 0, i, j; int num; if ((a == NULL) || (*a == '\0')) return (0); if (*a == '-') { neg = 1; a++; } for (i = 0; i <= (INT_MAX/4) && isdigit((unsigned char)a[i]); i++) continue; if (i == 0 || i > INT_MAX/4) goto err; num = i + neg; if (bn == NULL) return (num); /* * a is the start of the digits, and it is 'i' long. We chop it into * BN_DEC_NUM digits at a time */ if (*bn == NULL) { if ((ret = BN_new()) == NULL) return (0); } else { ret = *bn; BN_zero(ret); } /* i is the number of digits, a bit of an over expand */ if (bn_expand(ret, i * 4) == NULL) goto err; j = BN_DEC_NUM - (i % BN_DEC_NUM); if (j == BN_DEC_NUM) j = 0; l = 0; while (--i >= 0) { l *= 10; l += *a - '0'; a++; if (++j == BN_DEC_NUM) { if (!BN_mul_word(ret, BN_DEC_CONV) || !BN_add_word(ret, l)) goto err; l = 0; j = 0; } } bn_correct_top(ret); *bn = ret; bn_check_top(ret); /* Don't set the negative flag if it's zero. */ if (ret->top != 0) ret->neg = neg; return (num); err: if (*bn == NULL) BN_free(ret); return (0); } int BN_asc2bn(BIGNUM **bn, const char *a) { const char *p = a; if (*p == '-') p++; if (p[0] == '0' && (p[1] == 'X' || p[1] == 'x')) { if (!BN_hex2bn(bn, p + 2)) return 0; } else { if (!BN_dec2bn(bn, p)) return 0; } /* Don't set the negative flag if it's zero. */ if (*a == '-' && (*bn)->top != 0) (*bn)->neg = 1; return 1; } # ifndef OPENSSL_NO_STDIO int BN_print_fp(FILE *fp, const BIGNUM *a) { BIO *b; int ret; if ((b = BIO_new(BIO_s_file())) == NULL) return (0); BIO_set_fp(b, fp, BIO_NOCLOSE); ret = BN_print(b, a); BIO_free(b); return (ret); } # endif int BN_print(BIO *bp, const BIGNUM *a) { int i, j, v, z = 0; int ret = 0; if ((a->neg) && (BIO_write(bp, "-", 1) != 1)) goto end; if (BN_is_zero(a) && (BIO_write(bp, "0", 1) != 1)) goto end; for (i = a->top - 1; i >= 0; i--) { for (j = BN_BITS2 - 4; j >= 0; j -= 4) { /* strip leading zeros */ v = ((int)(a->d[i] >> (long)j)) & 0x0f; if (z || (v != 0)) { if (BIO_write(bp, &(Hex[v]), 1) != 1) goto end; z = 1; } } } ret = 1; end: return (ret); } char *BN_options(void) { static int init = 0; static char data[16]; if (!init) { init++; #ifdef BN_LLONG BIO_snprintf(data, sizeof data, "bn(%d,%d)", (int)sizeof(BN_ULLONG) * 8, (int)sizeof(BN_ULONG) * 8); #else BIO_snprintf(data, sizeof data, "bn(%d,%d)", (int)sizeof(BN_ULONG) * 8, (int)sizeof(BN_ULONG) * 8); #endif } return (data); }