/* $OpenBSD: bn_convert.c,v 1.15 2023/07/09 18:37:58 tb Exp $ */ /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) * All rights reserved. * * This package is an SSL implementation written * by Eric Young (eay@cryptsoft.com). * The implementation was written so as to conform with Netscapes SSL. * * This library is free for commercial and non-commercial use as long as * the following conditions are aheared to. The following conditions * apply to all code found in this distribution, be it the RC4, RSA, * lhash, DES, etc., code; not just the SSL code. The SSL documentation * included with this distribution is covered by the same copyright terms * except that the holder is Tim Hudson (tjh@cryptsoft.com). * * Copyright remains Eric Young's, and as such any Copyright notices in * the code are not to be removed. * If this package is used in a product, Eric Young should be given attribution * as the author of the parts of the library used. * This can be in the form of a textual message at program startup or * in documentation (online or textual) provided with the package. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * 3. All advertising materials mentioning features or use of this software * must display the following acknowledgement: * "This product includes cryptographic software written by * Eric Young (eay@cryptsoft.com)" * The word 'cryptographic' can be left out if the rouines from the library * being used are not cryptographic related :-). * 4. If you include any Windows specific code (or a derivative thereof) from * the apps directory (application code) you must include an acknowledgement: * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" * * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * SUCH DAMAGE. * * The licence and distribution terms for any publically available version or * derivative of this code cannot be changed. i.e. this code cannot simply be * copied and put under another distribution licence * [including the GNU Public Licence.] */ #include #include #include #include #include #include #include #include #include "bn_local.h" #include "bytestring.h" static int bn_dec2bn_cbs(BIGNUM **bnp, CBS *cbs); static int bn_hex2bn_cbs(BIGNUM **bnp, CBS *cbs); static const char hex_digits[] = "0123456789ABCDEF"; typedef enum { big, little, } endianness_t; /* ignore negative */ static int bn2binpad(const BIGNUM *a, unsigned char *to, int tolen, endianness_t endianness) { int n; size_t i, lasti, j, atop, mask; BN_ULONG l; /* * In case |a| is fixed-top, BN_num_bytes can return bogus length, * but it's assumed that fixed-top inputs ought to be "nominated" * even for padded output, so it works out... */ n = BN_num_bytes(a); if (tolen == -1) tolen = n; else if (tolen < n) { /* uncommon/unlike case */ BIGNUM temp = *a; bn_correct_top(&temp); n = BN_num_bytes(&temp); if (tolen < n) return -1; } /* Swipe through whole available data and don't give away padded zero. */ atop = a->dmax * BN_BYTES; if (atop == 0) { explicit_bzero(to, tolen); return tolen; } lasti = atop - 1; atop = a->top * BN_BYTES; if (endianness == big) to += tolen; /* start from the end of the buffer */ for (i = 0, j = 0; j < (size_t)tolen; j++) { unsigned char val; l = a->d[i / BN_BYTES]; mask = 0 - ((j - atop) >> (8 * sizeof(i) - 1)); val = (unsigned char)(l >> (8 * (i % BN_BYTES)) & mask); if (endianness == big) *--to = val; else *to++ = val; i += (i - lasti) >> (8 * sizeof(i) - 1); /* stay on last limb */ } return tolen; } int BN_bn2bin(const BIGNUM *a, unsigned char *to) { return bn2binpad(a, to, -1, big); } LCRYPTO_ALIAS(BN_bn2bin); int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen) { if (tolen < 0) return -1; return bn2binpad(a, to, tolen, big); } LCRYPTO_ALIAS(BN_bn2binpad); BIGNUM * BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret) { unsigned int i, m; unsigned int n; BN_ULONG l; BIGNUM *bn = NULL; if (len < 0) return (NULL); if (ret == NULL) ret = bn = BN_new(); if (ret == NULL) return (NULL); l = 0; n = len; if (n == 0) { ret->top = 0; return (ret); } i = ((n - 1) / BN_BYTES) + 1; m = ((n - 1) % (BN_BYTES)); if (!bn_wexpand(ret, (int)i)) { BN_free(bn); return NULL; } ret->top = i; ret->neg = 0; while (n--) { l = (l << 8L) | *(s++); if (m-- == 0) { ret->d[--i] = l; l = 0; m = BN_BYTES - 1; } } /* need to call this due to clear byte at top if avoiding * having the top bit set (-ve number) */ bn_correct_top(ret); return (ret); } LCRYPTO_ALIAS(BN_bin2bn); int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen) { if (tolen < 0) return -1; return bn2binpad(a, to, tolen, little); } LCRYPTO_ALIAS(BN_bn2lebinpad); BIGNUM * BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret) { unsigned int i, m, n; BN_ULONG l; BIGNUM *bn = NULL; if (ret == NULL) ret = bn = BN_new(); if (ret == NULL) return NULL; s += len; /* Skip trailing zeroes. */ for (; len > 0 && s[-1] == 0; s--, len--) continue; n = len; if (n == 0) { ret->top = 0; return ret; } i = ((n - 1) / BN_BYTES) + 1; m = (n - 1) % BN_BYTES; if (!bn_wexpand(ret, (int)i)) { BN_free(bn); return NULL; } ret->top = i; ret->neg = 0; l = 0; while (n-- > 0) { s--; l = (l << 8L) | *s; if (m-- == 0) { ret->d[--i] = l; l = 0; m = BN_BYTES - 1; } } /* * need to call this due to clear byte at top if avoiding having the * top bit set (-ve number) */ bn_correct_top(ret); return ret; } LCRYPTO_ALIAS(BN_lebin2bn); int BN_asc2bn(BIGNUM **bnp, const char *s) { CBS cbs, cbs_hex; size_t s_len; uint8_t v; int neg; if (bnp != NULL && *bnp != NULL) BN_zero(*bnp); if (s == NULL) return 0; if ((s_len = strlen(s)) == 0) return 0; CBS_init(&cbs, s, s_len); /* Handle negative sign. */ if (!CBS_peek_u8(&cbs, &v)) return 0; if ((neg = (v == '-'))) { if (!CBS_skip(&cbs, 1)) return 0; } /* Try parsing as hexadecimal with a 0x prefix. */ CBS_dup(&cbs, &cbs_hex); if (!CBS_get_u8(&cbs_hex, &v)) goto decimal; if (v != '0') goto decimal; if (!CBS_get_u8(&cbs_hex, &v)) goto decimal; if (v != 'X' && v != 'x') goto decimal; if (bn_hex2bn_cbs(bnp, &cbs_hex) == 0) return 0; goto done; decimal: if (bn_dec2bn_cbs(bnp, &cbs) == 0) return 0; done: if (bnp != NULL && *bnp != NULL) BN_set_negative(*bnp, neg); return 1; } LCRYPTO_ALIAS(BN_asc2bn); char * BN_bn2dec(const BIGNUM *bn) { int started = 0; BIGNUM *tmp = NULL; uint8_t *data = NULL; size_t data_len = 0; uint8_t *s = NULL; size_t s_len; BN_ULONG v, w; uint8_t c; CBB cbb; CBS cbs; int i; if (!CBB_init(&cbb, 0)) goto err; if ((tmp = BN_dup(bn)) == NULL) goto err; /* * Divide the BIGNUM by a large multiple of 10, then break the remainder * into decimal digits. This produces a reversed string of digits, * potentially with leading zeroes. */ while (!BN_is_zero(tmp)) { if ((w = BN_div_word(tmp, BN_DEC_CONV)) == -1) goto err; for (i = 0; i < BN_DEC_NUM; i++) { v = w % 10; if (!CBB_add_u8(&cbb, '0' + v)) goto err; w /= 10; } } if (!CBB_finish(&cbb, &data, &data_len)) goto err; if (data_len > SIZE_MAX - 3) goto err; if (!CBB_init(&cbb, data_len + 3)) goto err; if (BN_is_negative(bn)) { if (!CBB_add_u8(&cbb, '-')) goto err; } /* Reverse digits and trim leading zeroes. */ CBS_init(&cbs, data, data_len); while (CBS_len(&cbs) > 0) { if (!CBS_get_last_u8(&cbs, &c)) goto err; if (!started && c == '0') continue; if (!CBB_add_u8(&cbb, c)) goto err; started = 1; } if (!started) { if (!CBB_add_u8(&cbb, '0')) goto err; } if (!CBB_add_u8(&cbb, '\0')) goto err; if (!CBB_finish(&cbb, &s, &s_len)) goto err; err: BN_free(tmp); CBB_cleanup(&cbb); freezero(data, data_len); return s; } LCRYPTO_ALIAS(BN_bn2dec); static int bn_dec2bn_cbs(BIGNUM **bnp, CBS *cbs) { CBS cbs_digits; BIGNUM *bn = NULL; int d, neg, num; size_t digits = 0; BN_ULONG w; uint8_t v; /* Handle negative sign. */ if (!CBS_peek_u8(cbs, &v)) goto err; if ((neg = (v == '-'))) { if (!CBS_skip(cbs, 1)) goto err; } /* Scan to find last decimal digit. */ CBS_dup(cbs, &cbs_digits); while (CBS_len(&cbs_digits) > 0) { if (!CBS_get_u8(&cbs_digits, &v)) goto err; if (!isdigit(v)) break; digits++; } if (digits > INT_MAX / 4) goto err; num = digits + neg; if (bnp == NULL) return num; if ((bn = *bnp) == NULL) bn = BN_new(); if (bn == NULL) goto err; if (!bn_expand(bn, digits * 4)) goto err; if ((d = digits % BN_DEC_NUM) == 0) d = BN_DEC_NUM; w = 0; /* Work forwards from most significant digit. */ while (digits-- > 0) { if (!CBS_get_u8(cbs, &v)) goto err; if (v < '0' || v > '9') goto err; v -= '0'; w = w * 10 + v; d--; if (d == 0) { if (!BN_mul_word(bn, BN_DEC_CONV)) goto err; if (!BN_add_word(bn, w)) goto err; d = BN_DEC_NUM; w = 0; } } bn_correct_top(bn); BN_set_negative(bn, neg); *bnp = bn; return num; err: if (bnp != NULL && *bnp == NULL) BN_free(bn); return 0; } int BN_dec2bn(BIGNUM **bnp, const char *s) { size_t s_len; CBS cbs; if (bnp != NULL && *bnp != NULL) BN_zero(*bnp); if (s == NULL) return 0; if ((s_len = strlen(s)) == 0) return 0; CBS_init(&cbs, s, s_len); return bn_dec2bn_cbs(bnp, &cbs); } LCRYPTO_ALIAS(BN_dec2bn); static int bn_bn2hex_internal(const BIGNUM *bn, int include_sign, int nibbles_only, char **out, size_t *out_len) { int started = 0; uint8_t *s = NULL; size_t s_len = 0; BN_ULONG v, w; int i, j; CBB cbb; CBS cbs; uint8_t nul; int ret = 0; *out = NULL; *out_len = 0; if (!CBB_init(&cbb, 0)) goto err; if (BN_is_negative(bn) && include_sign) { if (!CBB_add_u8(&cbb, '-')) goto err; } if (BN_is_zero(bn)) { if (!CBB_add_u8(&cbb, '0')) goto err; } for (i = bn->top - 1; i >= 0; i--) { w = bn->d[i]; for (j = BN_BITS2 - 8; j >= 0; j -= 8) { v = (w >> j) & 0xff; if (!started && v == 0) continue; if (started || !nibbles_only || (v >> 4) != 0) { if (!CBB_add_u8(&cbb, hex_digits[v >> 4])) goto err; } if (!CBB_add_u8(&cbb, hex_digits[v & 0xf])) goto err; started = 1; } } if (!CBB_add_u8(&cbb, '\0')) goto err; if (!CBB_finish(&cbb, &s, &s_len)) goto err; /* The length of a C string does not include the terminating NUL. */ CBS_init(&cbs, s, s_len); if (!CBS_get_last_u8(&cbs, &nul)) goto err; *out = (char *)CBS_data(&cbs); *out_len = CBS_len(&cbs); s = NULL; s_len = 0; ret = 1; err: CBB_cleanup(&cbb); freezero(s, s_len); return ret; } int bn_bn2hex_nosign(const BIGNUM *bn, char **out, size_t *out_len) { return bn_bn2hex_internal(bn, 0, 0, out, out_len); } int bn_bn2hex_nibbles(const BIGNUM *bn, char **out, size_t *out_len) { return bn_bn2hex_internal(bn, 1, 1, out, out_len); } char * BN_bn2hex(const BIGNUM *bn) { char *s; size_t s_len; if (!bn_bn2hex_internal(bn, 1, 0, &s, &s_len)) return NULL; return s; } LCRYPTO_ALIAS(BN_bn2hex); static int bn_hex2bn_cbs(BIGNUM **bnp, CBS *cbs) { CBS cbs_digits; BIGNUM *bn = NULL; int b, i, neg, num; size_t digits = 0; BN_ULONG w; uint8_t v; /* Handle negative sign. */ if (!CBS_peek_u8(cbs, &v)) goto err; if ((neg = (v == '-'))) { if (!CBS_skip(cbs, 1)) goto err; } /* Scan to find last hexadecimal digit. */ CBS_dup(cbs, &cbs_digits); while (CBS_len(&cbs_digits) > 0) { if (!CBS_get_u8(&cbs_digits, &v)) goto err; if (!isxdigit(v)) break; digits++; } if (digits > INT_MAX / 4) goto err; num = digits + neg; if (bnp == NULL) return num; if ((bn = *bnp) == NULL) bn = BN_new(); if (bn == NULL) goto err; if (!bn_expand(bn, digits * 4)) goto err; if (!CBS_get_bytes(cbs, cbs, digits)) goto err; b = BN_BITS2; i = 0; w = 0; /* Work backwards from least significant digit. */ while (digits-- > 0) { if (!CBS_get_last_u8(cbs, &v)) goto err; if (v >= '0' && v <= '9') v -= '0'; else if (v >= 'a' && v <= 'f') v -= 'a' - 10; else if (v >= 'A' && v <= 'F') v -= 'A' - 10; else goto err; w |= (BN_ULONG)v << (BN_BITS2 - b); b -= 4; if (b == 0 || digits == 0) { b = BN_BITS2; bn->d[i++] = w; w = 0; } } bn->top = i; bn_correct_top(bn); BN_set_negative(bn, neg); *bnp = bn; return num; err: if (bnp != NULL && *bnp == NULL) BN_free(bn); return 0; } int BN_hex2bn(BIGNUM **bnp, const char *s) { size_t s_len; CBS cbs; if (bnp != NULL && *bnp != NULL) BN_zero(*bnp); if (s == NULL) return 0; if ((s_len = strlen(s)) == 0) return 0; CBS_init(&cbs, s, s_len); return bn_hex2bn_cbs(bnp, &cbs); } LCRYPTO_ALIAS(BN_hex2bn); int BN_bn2mpi(const BIGNUM *a, unsigned char *d) { int bits; int num = 0; int ext = 0; long l; bits = BN_num_bits(a); num = (bits + 7) / 8; if (bits > 0) { ext = ((bits & 0x07) == 0); } if (d == NULL) return (num + 4 + ext); l = num + ext; d[0] = (unsigned char)(l >> 24) & 0xff; d[1] = (unsigned char)(l >> 16) & 0xff; d[2] = (unsigned char)(l >> 8) & 0xff; d[3] = (unsigned char)(l) & 0xff; if (ext) d[4] = 0; num = BN_bn2bin(a, &(d[4 + ext])); if (a->neg) d[4] |= 0x80; return (num + 4 + ext); } LCRYPTO_ALIAS(BN_bn2mpi); BIGNUM * BN_mpi2bn(const unsigned char *d, int n, BIGNUM *ain) { BIGNUM *a = ain; long len; int neg = 0; if (n < 4) { BNerror(BN_R_INVALID_LENGTH); return (NULL); } len = ((long)d[0] << 24) | ((long)d[1] << 16) | ((int)d[2] << 8) | (int)d[3]; if ((len + 4) != n) { BNerror(BN_R_ENCODING_ERROR); return (NULL); } if (a == NULL) a = BN_new(); if (a == NULL) return (NULL); if (len == 0) { a->neg = 0; a->top = 0; return (a); } d += 4; if ((*d) & 0x80) neg = 1; if (BN_bin2bn(d, (int)len, a) == NULL) { if (ain == NULL) BN_free(a); return (NULL); } BN_set_negative(a, neg); if (neg) { BN_clear_bit(a, BN_num_bits(a) - 1); } return (a); } LCRYPTO_ALIAS(BN_mpi2bn);