diff options
Diffstat (limited to 'netwerk/srtp/src/crypto/math/math.c')
-rw-r--r-- | netwerk/srtp/src/crypto/math/math.c | 802 |
1 files changed, 802 insertions, 0 deletions
diff --git a/netwerk/srtp/src/crypto/math/math.c b/netwerk/srtp/src/crypto/math/math.c new file mode 100644 index 000000000..9e3e78ed1 --- /dev/null +++ b/netwerk/srtp/src/crypto/math/math.c @@ -0,0 +1,802 @@ +/* + * math.c + * + * crypto math operations and data types + * + * David A. McGrew + * Cisco Systems, Inc. + */ +/* + * + * Copyright (c) 2001-2006 Cisco Systems, Inc. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 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. + * + * Neither the name of the Cisco Systems, Inc. nor the names of its + * contributors may be used to endorse or promote products derived + * from this software without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS + * "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 + * COPYRIGHT HOLDERS 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. + * + */ + +#include "crypto_math.h" + +int +octet_weight[256] = { + 0, 1, 1, 2, 1, 2, 2, 3, + 1, 2, 2, 3, 2, 3, 3, 4, + 1, 2, 2, 3, 2, 3, 3, 4, + 2, 3, 3, 4, 3, 4, 4, 5, + 1, 2, 2, 3, 2, 3, 3, 4, + 2, 3, 3, 4, 3, 4, 4, 5, + 2, 3, 3, 4, 3, 4, 4, 5, + 3, 4, 4, 5, 4, 5, 5, 6, + 1, 2, 2, 3, 2, 3, 3, 4, + 2, 3, 3, 4, 3, 4, 4, 5, + 2, 3, 3, 4, 3, 4, 4, 5, + 3, 4, 4, 5, 4, 5, 5, 6, + 2, 3, 3, 4, 3, 4, 4, 5, + 3, 4, 4, 5, 4, 5, 5, 6, + 3, 4, 4, 5, 4, 5, 5, 6, + 4, 5, 5, 6, 5, 6, 6, 7, + 1, 2, 2, 3, 2, 3, 3, 4, + 2, 3, 3, 4, 3, 4, 4, 5, + 2, 3, 3, 4, 3, 4, 4, 5, + 3, 4, 4, 5, 4, 5, 5, 6, + 2, 3, 3, 4, 3, 4, 4, 5, + 3, 4, 4, 5, 4, 5, 5, 6, + 3, 4, 4, 5, 4, 5, 5, 6, + 4, 5, 5, 6, 5, 6, 6, 7, + 2, 3, 3, 4, 3, 4, 4, 5, + 3, 4, 4, 5, 4, 5, 5, 6, + 3, 4, 4, 5, 4, 5, 5, 6, + 4, 5, 5, 6, 5, 6, 6, 7, + 3, 4, 4, 5, 4, 5, 5, 6, + 4, 5, 5, 6, 5, 6, 6, 7, + 4, 5, 5, 6, 5, 6, 6, 7, + 5, 6, 6, 7, 6, 7, 7, 8 +}; + +int +low_bit[256] = { + -1, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 4, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 5, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 4, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 6, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 4, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 5, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 4, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 7, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 4, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 5, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 4, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 6, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 4, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 5, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0, + 4, 0, 1, 0, 2, 0, 1, 0, + 3, 0, 1, 0, 2, 0, 1, 0 +}; + + +int +high_bit[256] = { + -1, 0, 1, 1, 2, 2, 2, 2, + 3, 3, 3, 3, 3, 3, 3, 3, + 4, 4, 4, 4, 4, 4, 4, 4, + 4, 4, 4, 4, 4, 4, 4, 4, + 5, 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 5, + 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7, + 7, 7, 7, 7, 7, 7, 7, 7 +}; + +int +octet_get_weight(uint8_t octet) { + extern int octet_weight[256]; + + return octet_weight[octet]; +} + +unsigned char +v32_weight(v32_t a) { + unsigned int wt = 0; + + wt += octet_weight[a.v8[0]]; /* note: endian-ness makes no difference */ + wt += octet_weight[a.v8[1]]; + wt += octet_weight[a.v8[2]]; + wt += octet_weight[a.v8[3]]; + + return wt; +} + +unsigned char +v32_distance(v32_t x, v32_t y) { + x.value ^= y.value; + return v32_weight(x); +} + +unsigned int +v32_dot_product(v32_t a, v32_t b) { + a.value &= b.value; + return v32_weight(a) & 1; +} + +/* + * _bit_string returns a NULL-terminated character string suitable for + * printing + */ + +#define MAX_STRING_LENGTH 1024 + +char bit_string[MAX_STRING_LENGTH]; + +char * +octet_bit_string(uint8_t x) { + int mask, index; + + for (mask = 1, index = 0; mask < 256; mask <<= 1) + if ((x & mask) == 0) + bit_string[index++] = '0'; + else + bit_string[index++] = '1'; + + bit_string[index++] = 0; /* NULL terminate string */ + + return bit_string; +} + +char * +v16_bit_string(v16_t x) { + int i, mask, index; + + for (i = index = 0; i < 2; i++) { + for (mask = 1; mask < 256; mask <<= 1) + if ((x.v8[i] & mask) == 0) + bit_string[index++] = '0'; + else + bit_string[index++] = '1'; + } + bit_string[index++] = 0; /* NULL terminate string */ + return bit_string; +} + +char * +v32_bit_string(v32_t x) { + int i, mask, index; + + for (i = index = 0; i < 4; i++) { + for (mask = 128; mask > 0; mask >>= 1) + if ((x.v8[i] & mask) == 0) + bit_string[index++] = '0'; + else + bit_string[index++] = '1'; + } + bit_string[index++] = 0; /* NULL terminate string */ + return bit_string; +} + +char * +v64_bit_string(const v64_t *x) { + int i, mask, index; + + for (i = index = 0; i < 8; i++) { + for (mask = 1; mask < 256; mask <<= 1) + if ((x->v8[i] & mask) == 0) + bit_string[index++] = '0'; + else + bit_string[index++] = '1'; + } + bit_string[index++] = 0; /* NULL terminate string */ + return bit_string; +} + +char * +v128_bit_string(v128_t *x) { + int j, index; + uint32_t mask; + + for (j=index=0; j < 4; j++) { + for (mask=0x80000000; mask > 0; mask >>= 1) { + if (x->v32[j] & mask) + bit_string[index] = '1'; + else + bit_string[index] = '0'; + ++index; + } + } + bit_string[128] = 0; /* null terminate string */ + + return bit_string; +} + +uint8_t +nibble_to_hex_char(uint8_t nibble) { + char buf[16] = {'0', '1', '2', '3', '4', '5', '6', '7', + '8', '9', 'a', 'b', 'c', 'd', 'e', 'f' }; + return buf[nibble & 0xF]; +} + +char * +octet_hex_string(uint8_t x) { + + bit_string[0] = nibble_to_hex_char(x >> 4); + bit_string[1] = nibble_to_hex_char(x & 0xF); + + bit_string[2] = 0; /* null terminate string */ + return bit_string; +} + +char * +octet_string_hex_string(const void *str, int length) { + const uint8_t *s = str; + int i; + + /* double length, since one octet takes two hex characters */ + length *= 2; + + /* truncate string if it would be too long */ + if (length > MAX_STRING_LENGTH) + length = MAX_STRING_LENGTH-1; + + for (i=0; i < length; i+=2) { + bit_string[i] = nibble_to_hex_char(*s >> 4); + bit_string[i+1] = nibble_to_hex_char(*s++ & 0xF); + } + bit_string[i] = 0; /* null terminate string */ + return bit_string; +} + +char * +v16_hex_string(v16_t x) { + int i, j; + + for (i=j=0; i < 2; i++) { + bit_string[j++] = nibble_to_hex_char(x.v8[i] >> 4); + bit_string[j++] = nibble_to_hex_char(x.v8[i] & 0xF); + } + + bit_string[j] = 0; /* null terminate string */ + return bit_string; +} + +char * +v32_hex_string(v32_t x) { + int i, j; + + for (i=j=0; i < 4; i++) { + bit_string[j++] = nibble_to_hex_char(x.v8[i] >> 4); + bit_string[j++] = nibble_to_hex_char(x.v8[i] & 0xF); + } + + bit_string[j] = 0; /* null terminate string */ + return bit_string; +} + +char * +v64_hex_string(const v64_t *x) { + int i, j; + + for (i=j=0; i < 8; i++) { + bit_string[j++] = nibble_to_hex_char(x->v8[i] >> 4); + bit_string[j++] = nibble_to_hex_char(x->v8[i] & 0xF); + } + + bit_string[j] = 0; /* null terminate string */ + return bit_string; +} + +char * +v128_hex_string(v128_t *x) { + int i, j; + + for (i=j=0; i < 16; i++) { + bit_string[j++] = nibble_to_hex_char(x->v8[i] >> 4); + bit_string[j++] = nibble_to_hex_char(x->v8[i] & 0xF); + } + + bit_string[j] = 0; /* null terminate string */ + return bit_string; +} + +char * +char_to_hex_string(char *x, int num_char) { + int i, j; + + if (num_char >= 16) + num_char = 16; + for (i=j=0; i < num_char; i++) { + bit_string[j++] = nibble_to_hex_char(x[i] >> 4); + bit_string[j++] = nibble_to_hex_char(x[i] & 0xF); + } + + bit_string[j] = 0; /* null terminate string */ + return bit_string; +} + +int +hex_char_to_nibble(uint8_t c) { + switch(c) { + case ('0'): return 0x0; + case ('1'): return 0x1; + case ('2'): return 0x2; + case ('3'): return 0x3; + case ('4'): return 0x4; + case ('5'): return 0x5; + case ('6'): return 0x6; + case ('7'): return 0x7; + case ('8'): return 0x8; + case ('9'): return 0x9; + case ('a'): return 0xa; + case ('A'): return 0xa; + case ('b'): return 0xb; + case ('B'): return 0xb; + case ('c'): return 0xc; + case ('C'): return 0xc; + case ('d'): return 0xd; + case ('D'): return 0xd; + case ('e'): return 0xe; + case ('E'): return 0xe; + case ('f'): return 0xf; + case ('F'): return 0xf; + default: return -1; /* this flags an error */ + } + /* NOTREACHED */ + return -1; /* this keeps compilers from complaining */ +} + +int +is_hex_string(char *s) { + while(*s != 0) + if (hex_char_to_nibble(*s++) == -1) + return 0; + return 1; +} + +uint8_t +hex_string_to_octet(char *s) { + uint8_t x; + + x = (hex_char_to_nibble(s[0]) << 4) + | hex_char_to_nibble(s[1] & 0xFF); + + return x; +} + +/* + * hex_string_to_octet_string converts a hexadecimal string + * of length 2 * len to a raw octet string of length len + */ + +int +hex_string_to_octet_string(char *raw, char *hex, int len) { + uint8_t x; + int tmp; + int hex_len; + + hex_len = 0; + while (hex_len < len) { + tmp = hex_char_to_nibble(hex[0]); + if (tmp == -1) + return hex_len; + x = (tmp << 4); + hex_len++; + tmp = hex_char_to_nibble(hex[1]); + if (tmp == -1) + return hex_len; + x |= (tmp & 0xff); + hex_len++; + *raw++ = x; + hex += 2; + } + return hex_len; +} + +v16_t +hex_string_to_v16(char *s) { + v16_t x; + int i, j; + + for (i=j=0; i < 4; i += 2, j++) { + x.v8[j] = (hex_char_to_nibble(s[i]) << 4) + | hex_char_to_nibble(s[i+1] & 0xFF); + } + return x; +} + +v32_t +hex_string_to_v32(char *s) { + v32_t x; + int i, j; + + for (i=j=0; i < 8; i += 2, j++) { + x.v8[j] = (hex_char_to_nibble(s[i]) << 4) + | hex_char_to_nibble(s[i+1] & 0xFF); + } + return x; +} + +v64_t +hex_string_to_v64(char *s) { + v64_t x; + int i, j; + + for (i=j=0; i < 16; i += 2, j++) { + x.v8[j] = (hex_char_to_nibble(s[i]) << 4) + | hex_char_to_nibble(s[i+1] & 0xFF); + } + return x; +} + +v128_t +hex_string_to_v128(char *s) { + v128_t x; + int i, j; + + for (i=j=0; i < 32; i += 2, j++) { + x.v8[j] = (hex_char_to_nibble(s[i]) << 4) + | hex_char_to_nibble(s[i+1] & 0xFF); + } + return x; +} + + + +/* + * the matrix A[] is stored in column format, i.e., A[i] is the ith + * column of the matrix + */ + +uint8_t +A_times_x_plus_b(uint8_t A[8], uint8_t x, uint8_t b) { + int index = 0; + unsigned mask; + + for (mask=1; mask < 256; mask *= 2) { + if (x & mask) + b^= A[index]; + ++index; + } + + return b; +} + +void +v16_copy_octet_string(v16_t *x, const uint8_t s[2]) { + x->v8[0] = s[0]; + x->v8[1] = s[1]; +} + +void +v32_copy_octet_string(v32_t *x, const uint8_t s[4]) { + x->v8[0] = s[0]; + x->v8[1] = s[1]; + x->v8[2] = s[2]; + x->v8[3] = s[3]; +} + +void +v64_copy_octet_string(v64_t *x, const uint8_t s[8]) { + x->v8[0] = s[0]; + x->v8[1] = s[1]; + x->v8[2] = s[2]; + x->v8[3] = s[3]; + x->v8[4] = s[4]; + x->v8[5] = s[5]; + x->v8[6] = s[6]; + x->v8[7] = s[7]; +} + +void +v128_copy_octet_string(v128_t *x, const uint8_t s[16]) { + x->v8[0] = s[0]; + x->v8[1] = s[1]; + x->v8[2] = s[2]; + x->v8[3] = s[3]; + x->v8[4] = s[4]; + x->v8[5] = s[5]; + x->v8[6] = s[6]; + x->v8[7] = s[7]; + x->v8[8] = s[8]; + x->v8[9] = s[9]; + x->v8[10] = s[10]; + x->v8[11] = s[11]; + x->v8[12] = s[12]; + x->v8[13] = s[13]; + x->v8[14] = s[14]; + x->v8[15] = s[15]; + +} + +#ifndef DATATYPES_USE_MACROS /* little functions are not macros */ + +void +v128_set_to_zero(v128_t *x) { + _v128_set_to_zero(x); +} + +void +v128_copy(v128_t *x, const v128_t *y) { + _v128_copy(x, y); +} + +void +v128_xor(v128_t *z, v128_t *x, v128_t *y) { + _v128_xor(z, x, y); +} + +void +v128_and(v128_t *z, v128_t *x, v128_t *y) { + _v128_and(z, x, y); +} + +void +v128_or(v128_t *z, v128_t *x, v128_t *y) { + _v128_or(z, x, y); +} + +void +v128_complement(v128_t *x) { + _v128_complement(x); +} + +int +v128_is_eq(const v128_t *x, const v128_t *y) { + return _v128_is_eq(x, y); +} + +int +v128_get_bit(const v128_t *x, int i) { + return _v128_get_bit(x, i); +} + +void +v128_set_bit(v128_t *x, int i) { + _v128_set_bit(x, i); +} + +void +v128_clear_bit(v128_t *x, int i){ + _v128_clear_bit(x, i); +} + +void +v128_set_bit_to(v128_t *x, int i, int y){ + _v128_set_bit_to(x, i, y); +} + + +#endif /* DATATYPES_USE_MACROS */ + + +static inline void +v128_left_shift2(v128_t *x, int num_bits) { + int i; + int word_shift = num_bits >> 5; + int bit_shift = num_bits & 31; + + for (i=0; i < (4-word_shift); i++) { + x->v32[i] = x->v32[i+word_shift] << bit_shift; + } + + for ( ; i < word_shift; i++) { + x->v32[i] = 0; + } + +} + +void +v128_right_shift(v128_t *x, int index) { + const int base_index = index >> 5; + const int bit_index = index & 31; + int i, from; + uint32_t b; + + if (index > 127) { + v128_set_to_zero(x); + return; + } + + if (bit_index == 0) { + + /* copy each word from left size to right side */ + x->v32[4-1] = x->v32[4-1-base_index]; + for (i=4-1; i > base_index; i--) + x->v32[i-1] = x->v32[i-1-base_index]; + + } else { + + /* set each word to the "or" of the two bit-shifted words */ + for (i = 4; i > base_index; i--) { + from = i-1 - base_index; + b = x->v32[from] << bit_index; + if (from > 0) + b |= x->v32[from-1] >> (32-bit_index); + x->v32[i-1] = b; + } + + } + + /* now wrap up the final portion */ + for (i=0; i < base_index; i++) + x->v32[i] = 0; + +} + +void +v128_left_shift(v128_t *x, int index) { + int i; + const int base_index = index >> 5; + const int bit_index = index & 31; + + if (index > 127) { + v128_set_to_zero(x); + return; + } + + if (bit_index == 0) { + for (i=0; i < 4 - base_index; i++) + x->v32[i] = x->v32[i+base_index]; + } else { + for (i=0; i < 4 - base_index - 1; i++) + x->v32[i] = (x->v32[i+base_index] << bit_index) ^ + (x->v32[i+base_index+1] >> (32 - bit_index)); + x->v32[4 - base_index-1] = x->v32[4-1] << bit_index; + } + + /* now wrap up the final portion */ + for (i = 4 - base_index; i < 4; i++) + x->v32[i] = 0; + +} + + +#if 0 +void +v128_add(v128_t *z, v128_t *x, v128_t *y) { + /* integer addition modulo 2^128 */ + +#ifdef WORDS_BIGENDIAN + uint64_t tmp; + + tmp = x->v32[3] + y->v32[3]; + z->v32[3] = (uint32_t) tmp; + + tmp = x->v32[2] + y->v32[2] + (tmp >> 32); + z->v32[2] = (uint32_t) tmp; + + tmp = x->v32[1] + y->v32[1] + (tmp >> 32); + z->v32[1] = (uint32_t) tmp; + + tmp = x->v32[0] + y->v32[0] + (tmp >> 32); + z->v32[0] = (uint32_t) tmp; + +#else /* assume little endian architecture */ + uint64_t tmp; + + tmp = htonl(x->v32[3]) + htonl(y->v32[3]); + z->v32[3] = ntohl((uint32_t) tmp); + + tmp = htonl(x->v32[2]) + htonl(y->v32[2]) + htonl(tmp >> 32); + z->v32[2] = ntohl((uint32_t) tmp); + + tmp = htonl(x->v32[1]) + htonl(y->v32[1]) + htonl(tmp >> 32); + z->v32[1] = ntohl((uint32_t) tmp); + + tmp = htonl(x->v32[0]) + htonl(y->v32[0]) + htonl(tmp >> 32); + z->v32[0] = ntohl((uint32_t) tmp); + +#endif /* WORDS_BIGENDIAN */ + +} +#endif + +int +octet_string_is_eq(uint8_t *a, uint8_t *b, int len) { + uint8_t *end = b + len; + while (b < end) + if (*a++ != *b++) + return 1; + return 0; +} + +void +octet_string_set_to_zero(uint8_t *s, int len) { + uint8_t *end = s + len; + + do { + *s = 0; + } while (++s < end); + +} + + +/* functions below not yet tested! */ + +int +v32_low_bit(v32_t *w) { + int value; + + value = low_bit[w->v8[0]]; + if (value != -1) + return value; + value = low_bit[w->v8[1]]; + if (value != -1) + return value + 8; + value = low_bit[w->v8[2]]; + if (value != -1) + return value + 16; + value = low_bit[w->v8[3]]; + if (value == -1) + return -1; + return value + 24; +} + +/* high_bit not done yet */ + + + + + |