/* $OpenBSD: bn_convert.c,v 1.8 2023/05/09 05:15:55 jsing 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 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); } int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen) { if (tolen < 0) return -1; return bn2binpad(a, to, tolen, big); } 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); } int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen) { if (tolen < 0) return -1; return bn2binpad(a, to, tolen, little); } 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; } 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; } if (*a == '-') BN_set_negative(*bn, 1); return 1; } 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; } 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++) ; if (i > INT_MAX / 4) return (0); 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)) goto err; j = BN_DEC_NUM - (i % BN_DEC_NUM); if (j == BN_DEC_NUM) j = 0; l = 0; while (*a) { l *= 10; l += *a - '0'; a++; if (++j == BN_DEC_NUM) { if (!BN_mul_word(ret, BN_DEC_CONV)) goto err; if (!BN_add_word(ret, l)) goto err; l = 0; j = 0; } } bn_correct_top(ret); BN_set_negative(ret, neg); *bn = ret; return (num); err: if (*bn == NULL) BN_free(ret); return (0); } char * BN_bn2hex(const BIGNUM *bn) { int started = 0; uint8_t *s = NULL; size_t s_len; BN_ULONG v, w; int i, j; CBB cbb; if (!CBB_init(&cbb, 0)) goto err; if (BN_is_negative(bn)) { 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 (!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; err: CBB_cleanup(&cbb); return s; } 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++) ; if (i > INT_MAX / 4) return (0); 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)) 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]; if ((c >= '0') && (c <= '9')) k = c - '0'; else if ((c >= 'a') && (c <= 'f')) k = c - 'a' + 10; else if ((c >= 'A') && (c <= 'F')) k = c - 'A' + 10; else 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_set_negative(ret, neg); *bn = ret; return (num); err: if (*bn == NULL) BN_free(ret); return (0); } 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); } 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); } #ifndef OPENSSL_NO_BIO 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); } 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_digits[v], 1) != 1) goto end; z = 1; } } } ret = 1; end: return (ret); } #endif