diff --git a/src/arch/x86/core/x86_bigint.c b/src/arch/x86/core/x86_bigint.c new file mode 100644 index 00000000..cb6c67b1 --- /dev/null +++ b/src/arch/x86/core/x86_bigint.c @@ -0,0 +1,90 @@ +/* + * Copyright (C) 2012 Michael Brown . + * + * This program is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License as + * published by the Free Software Foundation; either version 2 of the + * License, or any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. + */ + +FILE_LICENCE ( GPL2_OR_LATER ); + +#include +#include +#include + +/** @file + * + * Big integer support + */ + +/** + * Multiply big integers + * + * @v multiplicand0 Element 0 of big integer to be multiplied + * @v multiplier0 Element 0 of big integer to be multiplied + * @v result0 Element 0 of big integer to hold result + * @v size Number of elements + */ +void bigint_multiply_raw ( const uint32_t *multiplicand0, + const uint32_t *multiplier0, + uint32_t *result0, unsigned int size ) { + const bigint_t ( size ) __attribute__ (( may_alias )) *multiplicand = + ( ( const void * ) multiplicand0 ); + const bigint_t ( size ) __attribute__ (( may_alias )) *multiplier = + ( ( const void * ) multiplier0 ); + bigint_t ( size * 2 ) __attribute__ (( may_alias )) *result = + ( ( void * ) result0 ); + unsigned int i; + unsigned int j; + uint32_t multiplicand_element; + uint32_t multiplier_element; + uint32_t *result_elements; + uint32_t discard_a; + uint32_t discard_d; + long index; + + /* Zero result */ + memset ( result, 0, sizeof ( *result ) ); + + /* Multiply integers one element at a time */ + for ( i = 0 ; i < size ; i++ ) { + multiplicand_element = multiplicand->element[i]; + for ( j = 0 ; j < size ; j++ ) { + multiplier_element = multiplier->element[j]; + result_elements = &result->element[ i + j ]; + /* Perform a single multiply, and add the + * resulting double-element into the result, + * carrying as necessary. The carry can + * never overflow beyond the end of the + * result, since: + * + * a < 2^{n}, b < 2^{n} => ab < 2^{2n} + */ + __asm__ __volatile__ ( "mull %4\n\t" + "addl %%eax, (%5,%2,4)\n\t" + "adcl %%edx, 4(%5,%2,4)\n\t" + "\n1:\n\t" + "adcl $0, 8(%5,%2,4)\n\t" + "inc %2\n\t" + /* Does not affect CF */ + "jc 1b\n\t" + : "=&a" ( discard_a ), + "=&d" ( discard_d ), + "=&r" ( index ) + : "0" ( multiplicand_element ), + "g" ( multiplier_element ), + "r" ( result_elements ), + "2" ( 0 ) ); + } + } +} diff --git a/src/arch/x86/include/bits/bigint.h b/src/arch/x86/include/bits/bigint.h new file mode 100644 index 00000000..4c9aed62 --- /dev/null +++ b/src/arch/x86/include/bits/bigint.h @@ -0,0 +1,318 @@ +#ifndef _BITS_BIGINT_H +#define _BITS_BIGINT_H + +/** @file + * + * Big integer support + */ + +FILE_LICENCE ( GPL2_OR_LATER ); + +#include +#include + +/** Element of a big integer */ +typedef uint32_t bigint_element_t; + +/** + * Initialise big integer + * + * @v value0 Element 0 of big integer to initialise + * @v size Number of elements + * @v data Raw data + * @v len Length of raw data + */ +static inline __attribute__ (( always_inline )) void +bigint_init_raw ( uint32_t *value0, unsigned int size, + const void *data, size_t len ) { + long pad_len = ( sizeof ( bigint_t ( size ) ) - len ); + void *discard_D; + long discard_c; + + /* Copy raw data in reverse order, padding with zeros */ + __asm__ __volatile__ ( "\n1:\n\t" + "movb -1(%2,%1), %%al\n\t" + "stosb\n\t" + "loop 1b\n\t" + "xorl %%eax, %%eax\n\t" + "mov %3, %1\n\t" + "rep stosb\n\t" + : "=&D" ( discard_D ), "=&c" ( discard_c ) + : "r" ( data ), "g" ( pad_len ), "0" ( value0 ), + "1" ( len ) + : "eax" ); +} + +/** + * Add big integers + * + * @v addend0 Element 0 of big integer to add + * @v value0 Element 0 of big integer to be added to + * @v size Number of elements + */ +static inline __attribute__ (( always_inline )) void +bigint_add_raw ( const uint32_t *addend0, uint32_t *value0, + unsigned int size ) { + long index; + void *discard_S; + long discard_c; + + __asm__ __volatile__ ( "xor %0, %0\n\t" /* Zero %0 and clear CF */ + "\n1:\n\t" + "lodsl\n\t" + "adcl %%eax, (%3,%0,4)\n\t" + "inc %0\n\t" /* Does not affect CF */ + "loop 1b\n\t" + : "=&r" ( index ), "=&S" ( discard_S ), + "=&c" ( discard_c ) + : "r" ( value0 ), "1" ( addend0 ), "2" ( size ) + : "eax" ); +} + +/** + * Subtract big integers + * + * @v subtrahend0 Element 0 of big integer to subtract + * @v value0 Element 0 of big integer to be subtracted from + * @v size Number of elements + */ +static inline __attribute__ (( always_inline )) void +bigint_subtract_raw ( const uint32_t *subtrahend0, uint32_t *value0, + unsigned int size ) { + long index; + void *discard_S; + long discard_c; + + __asm__ __volatile__ ( "xor %0, %0\n\t" /* Zero %0 and clear CF */ + "\n1:\n\t" + "lodsl\n\t" + "sbbl %%eax, (%3,%0,4)\n\t" + "inc %0\n\t" /* Does not affect CF */ + "loop 1b\n\t" + : "=&r" ( index ), "=&S" ( discard_S ), + "=&c" ( discard_c ) + : "r" ( value0 ), "1" ( subtrahend0 ), + "2" ( size ) + : "eax" ); +} + +/** + * Rotate big integer left + * + * @v value0 Element 0 of big integer + * @v size Number of elements + */ +static inline __attribute__ (( always_inline )) void +bigint_rol_raw ( uint32_t *value0, unsigned int size ) { + long index; + long discard_c; + + __asm__ __volatile__ ( "xor %0, %0\n\t" /* Zero %0 and clear CF */ + "\n1:\n\t" + "rcll $1, (%2,%0,4)\n\t" + "inc %0\n\t" /* Does not affect CF */ + "loop 1b\n\t" + : "=&r" ( index ), "=&c" ( discard_c ) + : "r" ( value0 ), "1" ( size ) ); +} + +/** + * Rotate big integer right + * + * @v value0 Element 0 of big integer + * @v size Number of elements + */ +static inline __attribute__ (( always_inline )) void +bigint_ror_raw ( uint32_t *value0, unsigned int size ) { + long discard_c; + + __asm__ __volatile__ ( "clc\n\t" + "\n1:\n\t" + "rcrl $1, -4(%1,%0,4)\n\t" + "loop 1b\n\t" + : "=&c" ( discard_c ) + : "r" ( value0 ), "0" ( size ) ); +} + +/** + * Test if big integer is equal to zero + * + * @v value0 Element 0 of big integer + * @v size Number of elements + * @ret is_zero Big integer is equal to zero + */ +static inline __attribute__ (( always_inline, pure )) int +bigint_is_zero_raw ( const uint32_t *value0, unsigned int size ) { + void *discard_D; + long discard_c; + int result; + + __asm__ __volatile__ ( "xor %0, %0\n\t" /* Set ZF */ + "repe scasl\n\t" + "sete %b0\n\t" + : "=&a" ( result ), "=&D" ( discard_D ), + "=&c" ( discard_c ) + : "1" ( value0 ), "2" ( size ) ); + return result; +} + +/** + * Compare big integers + * + * @v value0 Element 0 of big integer + * @v reference0 Element 0 of reference big integer + * @v size Number of elements + * @ret geq Big integer is greater than or equal to the reference + */ +static inline __attribute__ (( always_inline, pure )) int +bigint_is_geq_raw ( const uint32_t *value0, const uint32_t *reference0, + unsigned int size ) { + const bigint_t ( size ) __attribute__ (( may_alias )) *value = + ( ( const void * ) value0 ); + const bigint_t ( size ) __attribute__ (( may_alias )) *reference = + ( ( const void * ) reference0 ); + void *discard_S; + void *discard_D; + long discard_c; + int result; + + __asm__ __volatile__ ( "std\n\t" + "\n1:\n\t" + "lodsl\n\t" + "scasl\n\t" + "loope 1b\n\t" + "setae %b0\n\t" + "cld\n\t" + : "=r" ( result ), "=&S" ( discard_S ), + "=&D" ( discard_D ), "=&c" ( discard_c ) + : "0" ( 0 ), "1" ( &value->element[ size - 1 ] ), + "2" ( &reference->element[ size - 1 ] ), + "3" ( size ) + : "eax" ); + return result; +} + +/** + * Test if bit is set in big integer + * + * @v value0 Element 0 of big integer + * @v size Number of elements + * @v bit Bit to test + * @ret is_set Bit is set + */ +static inline __attribute__ (( always_inline )) int +bigint_bit_is_set_raw ( const uint32_t *value0, unsigned int size, + unsigned int bit ) { + const bigint_t ( size ) __attribute__ (( may_alias )) *value = + ( ( const void * ) value0 ); + unsigned int index = ( bit / ( 8 * sizeof ( value->element[0] ) ) ); + unsigned int subindex = ( bit % ( 8 * sizeof ( value->element[0] ) ) ); + + return ( value->element[index] & ( 1 << subindex ) ); +} + +/** + * Find highest bit set in big integer + * + * @v value0 Element 0 of big integer + * @v size Number of elements + * @ret max_bit Highest bit set + 1 (or 0 if no bits set) + */ +static inline __attribute__ (( always_inline )) int +bigint_max_set_bit_raw ( const uint32_t *value0, unsigned int size ) { + long discard_c; + int result; + + __asm__ __volatile__ ( "\n1:\n\t" + "bsrl -4(%2,%1,4), %0\n\t" + "loopz 1b\n\t" + "rol %1\n\t" /* Does not affect ZF */ + "rol %1\n\t" + "leal 1(%k0,%k1,8), %k0\n\t" + "jnz 2f\n\t" + "xor %0, %0\n\t" + "\n2:\n\t" + : "=&r" ( result ), "=&c" ( discard_c ) + : "r" ( value0 ), "1" ( size ) ); + return result; +} + +/** + * Grow big integer + * + * @v source0 Element 0 of source big integer + * @v source_size Number of elements in source big integer + * @v dest0 Element 0 of destination big integer + * @v dest_size Number of elements in destination big integer + */ +static inline __attribute__ (( always_inline )) void +bigint_grow_raw ( const uint32_t *source0, unsigned int source_size, + uint32_t *dest0, unsigned int dest_size ) { + long pad_size = ( dest_size - source_size ); + void *discard_D; + void *discard_S; + long discard_c; + + __asm__ __volatile__ ( "rep movsl\n\t" + "xorl %%eax, %%eax\n\t" + "mov %3, %2\n\t" + "rep stosl\n\t" + : "=&D" ( discard_D ), "=&S" ( discard_S ), + "=&c" ( discard_c ) + : "g" ( pad_size ), "0" ( dest0 ), + "1" ( source0 ), "2" ( source_size ) + : "eax" ); +} + +/** + * Shrink big integer + * + * @v source0 Element 0 of source big integer + * @v source_size Number of elements in source big integer + * @v dest0 Element 0 of destination big integer + * @v dest_size Number of elements in destination big integer + */ +static inline __attribute__ (( always_inline )) void +bigint_shrink_raw ( const uint32_t *source0, unsigned int source_size __unused, + uint32_t *dest0, unsigned int dest_size ) { + void *discard_D; + void *discard_S; + long discard_c; + + __asm__ __volatile__ ( "rep movsl\n\t" + : "=&D" ( discard_D ), "=&S" ( discard_S ), + "=&c" ( discard_c ) + : "0" ( dest0 ), "1" ( source0 ), + "2" ( dest_size ) + : "eax" ); +} + +/** + * Finalise big integer + * + * @v value0 Element 0 of big integer to finalise + * @v size Number of elements + * @v out Output buffer + * @v len Length of output buffer + */ +static inline __attribute__ (( always_inline )) void +bigint_done_raw ( const uint32_t *value0, unsigned int size __unused, + void *out, size_t len ) { + void *discard_D; + long discard_c; + + /* Copy raw data in reverse order */ + __asm__ __volatile__ ( "\n1:\n\t" + "movb -1(%2,%1), %%al\n\t" + "stosb\n\t" + "loop 1b\n\t" + : "=&D" ( discard_D ), "=&c" ( discard_c ) + : "r" ( value0 ), "0" ( out ), "1" ( len ) + : "eax" ); +} + +extern void bigint_multiply_raw ( const uint32_t *multiplicand0, + const uint32_t *multiplier0, + uint32_t *value0, unsigned int size ); + +#endif /* _BITS_BIGINT_H */ diff --git a/src/crypto/axtls/bigint.c b/src/crypto/axtls/axtls_bigint.c similarity index 100% rename from src/crypto/axtls/bigint.c rename to src/crypto/axtls/axtls_bigint.c diff --git a/src/crypto/bigint.c b/src/crypto/bigint.c new file mode 100644 index 00000000..c3edec9d --- /dev/null +++ b/src/crypto/bigint.c @@ -0,0 +1,122 @@ +/* + * Copyright (C) 2012 Michael Brown . + * + * This program is free software; you can redistribute it and/or + * modify it under the terms of the GNU General Public License as + * published by the Free Software Foundation; either version 2 of the + * License, or any later version. + * + * This program is distributed in the hope that it will be useful, but + * WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. + */ + +FILE_LICENCE ( GPL2_OR_LATER ); + +#include +#include +#include +#include + +/** @file + * + * Big integer support + */ + +/** + * Perform modular multiplication of big integers + * + * @v multiplicand0 Element 0 of big integer to be multiplied + * @v multiplier0 Element 0 of big integer to be multiplied + * @v modulus0 Element 0 of big integer modulus + * @v result0 Element 0 of big integer to hold result + */ +void bigint_mod_multiply_raw ( const bigint_element_t *multiplicand0, + const bigint_element_t *multiplier0, + const bigint_element_t *modulus0, + bigint_element_t *result0, + unsigned int size ) { + const bigint_t ( size ) __attribute__ (( may_alias )) *multiplicand = + ( ( const void * ) multiplicand0 ); + const bigint_t ( size ) __attribute__ (( may_alias )) *multiplier = + ( ( const void * ) multiplier0 ); + const bigint_t ( size ) __attribute__ (( may_alias )) *modulus = + ( ( const void * ) modulus0 ); + bigint_t ( size ) __attribute__ (( may_alias )) *result = + ( ( void * ) result0 ); + bigint_t ( size * 2 ) temp_result; + bigint_t ( size * 2 ) temp_modulus; + int rotation; + int i; + + /* Perform multiplication */ + bigint_multiply ( multiplicand, multiplier, &temp_result ); + + /* Rescale modulus to match result */ + bigint_grow ( modulus, &temp_modulus ); + rotation = ( bigint_max_set_bit ( &temp_result ) - + bigint_max_set_bit ( &temp_modulus ) ); + for ( i = 0 ; i < rotation ; i++ ) + bigint_rol ( &temp_modulus ); + + /* Subtract multiples of modulus */ + for ( i = 0 ; i <= rotation ; i++ ) { + if ( bigint_is_geq ( &temp_result, &temp_modulus ) ) + bigint_subtract ( &temp_modulus, &temp_result ); + bigint_ror ( &temp_modulus ); + } + + /* Resize result */ + bigint_shrink ( &temp_result, result ); + + /* Sanity check */ + assert ( bigint_is_geq ( modulus, result ) ); +} + +/** + * Perform modular exponentiation of big integers + * + * @v base0 Element 0 of big integer base + * @v modulus0 Element 0 of big integer modulus + * @v exponent0 Element 0 of big integer exponent + * @v result0 Element 0 of big integer to hold result + * @v size Number of elements in base, modulus, and result + * @v exponent_size Number of elements in exponent + */ +void bigint_mod_exp_raw ( const bigint_element_t *base0, + const bigint_element_t *modulus0, + const bigint_element_t *exponent0, + bigint_element_t *result0, + unsigned int size, + unsigned int exponent_size ) { + const bigint_t ( size ) __attribute__ (( may_alias )) *base = + ( ( const void * ) base0 ); + const bigint_t ( size ) __attribute__ (( may_alias )) *modulus = + ( ( const void * ) modulus0 ); + const bigint_t ( exponent_size ) __attribute__ (( may_alias )) + *exponent = ( ( const void * ) exponent0 ); + bigint_t ( size ) __attribute__ (( may_alias )) *result = + ( ( void * ) result0 ); + bigint_t ( size ) temp_base; + bigint_t ( exponent_size ) temp_exponent; + static const uint8_t start[1] = { 0x01 }; + + memcpy ( &temp_base, base, sizeof ( temp_base ) ); + memcpy ( &temp_exponent, exponent, sizeof ( temp_exponent ) ); + bigint_init ( result, start, sizeof ( start ) ); + + while ( ! bigint_is_zero ( &temp_exponent ) ) { + if ( bigint_bit_is_set ( &temp_exponent, 0 ) ) { + bigint_mod_multiply ( result, &temp_base, + modulus, result ); + } + bigint_ror ( &temp_exponent ); + bigint_mod_multiply ( &temp_base, &temp_base, modulus, + &temp_base ); + } +} diff --git a/src/include/ipxe/bigint.h b/src/include/ipxe/bigint.h new file mode 100644 index 00000000..a21b3e5d --- /dev/null +++ b/src/include/ipxe/bigint.h @@ -0,0 +1,268 @@ +#ifndef _IPXE_BIGINT_H +#define _IPXE_BIGINT_H + +/** @file + * + * Big integer support + */ + +FILE_LICENCE ( GPL2_OR_LATER ); + +/** + * Define a big-integer type + * + * @v size Number of elements + * @ret bigint_t Big integer type + */ +#define bigint_t( size ) \ + struct { \ + bigint_element_t element[ (size) ]; \ + } + +/** + * Determine number of elements required for a big-integer type + * + * @v len Maximum length of big integer, in bytes + * @ret size Number of elements + */ +#define bigint_required_size( len ) \ + ( ( (len) + sizeof ( bigint_element_t ) - 1 ) / \ + sizeof ( bigint_element_t ) ) + +/** + * Determine number of elements in big-integer type + * + * @v bigint Big integer + * @ret size Number of elements + */ +#define bigint_size( bigint ) \ + ( sizeof ( *(bigint) ) / sizeof ( (bigint)->element[0] ) ) + +/** + * Initialise big integer + * + * @v value Big integer to initialise + * @v data Raw data + * @v len Length of raw data + */ +#define bigint_init( value, data, len ) do { \ + unsigned int size = bigint_size (value); \ + assert ( (len) <= ( size * sizeof ( (value)->element[0] ) ) ); \ + bigint_init_raw ( (value)->element, size, (data), (len) ); \ + } while ( 0 ) + +/** + * Finalise big integer + * + * @v value Big integer to finalise + * @v out Output buffer + * @v len Length of output buffer + */ +#define bigint_done( value, out, len ) do { \ + unsigned int size = bigint_size (value); \ + bigint_done_raw ( (value)->element, size, (out), (len) ); \ + } while ( 0 ) + +/** + * Add big integers + * + * @v addend Big integer to add + * @v value Big integer to be added to + */ +#define bigint_add( addend, value ) do { \ + unsigned int size = bigint_size (addend); \ + bigint_add_raw ( (addend)->element, (value)->element, size ); \ + } while ( 0 ) + +/** + * Subtract big integers + * + * @v subtrahend Big integer to subtract + * @v value Big integer to be subtracted from + */ +#define bigint_subtract( subtrahend, value ) do { \ + unsigned int size = bigint_size (subtrahend); \ + bigint_subtract_raw ( (subtrahend)->element, (value)->element, \ + size ); \ + } while ( 0 ) + +/** + * Rotate big integer left + * + * @v value Big integer + */ +#define bigint_rol( value ) do { \ + unsigned int size = bigint_size (value); \ + bigint_rol_raw ( (value)->element, size ); \ + } while ( 0 ) + +/** + * Rotate big integer right + * + * @v value Big integer + */ +#define bigint_ror( value ) do { \ + unsigned int size = bigint_size (value); \ + bigint_ror_raw ( (value)->element, size ); \ + } while ( 0 ) + +/** + * Test if big integer is equal to zero + * + * @v value Big integer + * @v size Number of elements + * @ret is_zero Big integer is equal to zero + */ +#define bigint_is_zero( value ) ( { \ + unsigned int size = bigint_size (value); \ + bigint_is_zero_raw ( (value)->element, size ); } ) + +/** + * Compare big integers + * + * @v value Big integer + * @v reference Reference big integer + * @ret geq Big integer is greater than or equal to the reference + */ +#define bigint_is_geq( value, reference ) ( { \ + unsigned int size = bigint_size (value); \ + bigint_is_geq_raw ( (value)->element, (reference)->element, \ + size ); } ) + +/** + * Test if bit is set in big integer + * + * @v value Big integer + * @v bit Bit to test + * @ret is_set Bit is set + */ +#define bigint_bit_is_set( value, bit ) ( { \ + unsigned int size = bigint_size (value); \ + bigint_bit_is_set_raw ( (value)->element, size, bit ); } ) + +/** + * Find highest bit set in big integer + * + * @v value Big integer + * @ret max_bit Highest bit set + 1 (or 0 if no bits set) + */ +#define bigint_max_set_bit( value ) ( { \ + unsigned int size = bigint_size (value); \ + bigint_max_set_bit_raw ( (value)->element, size ); } ) + +/** + * Grow big integer + * + * @v source Source big integer + * @v dest Destination big integer + */ +#define bigint_grow( source, dest ) do { \ + unsigned int source_size = bigint_size (source); \ + unsigned int dest_size = bigint_size (dest); \ + bigint_grow_raw ( (source)->element, source_size, \ + (dest)->element, dest_size ); \ + } while ( 0 ) + +/** + * Shrink big integer + * + * @v source Source big integer + * @v dest Destination big integer + */ +#define bigint_shrink( source, dest ) do { \ + unsigned int source_size = bigint_size (source); \ + unsigned int dest_size = bigint_size (dest); \ + bigint_shrink_raw ( (source)->element, source_size, \ + (dest)->element, dest_size ); \ + } while ( 0 ) + +/** + * Multiply big integers + * + * @v multiplicand Big integer to be multiplied + * @v multiplier Big integer to be multiplied + * @v result Big integer to hold result + */ +#define bigint_multiply( multiplicand, multiplier, result ) do { \ + unsigned int size = bigint_size (multiplicand); \ + bigint_multiply_raw ( (multiplicand)->element, \ + (multiplier)->element, (result)->element, \ + size ); \ + } while ( 0 ) + +/** + * Perform modular multiplication of big integers + * + * @v multiplicand Big integer to be multiplied + * @v multiplier Big integer to be multiplied + * @v modulus Big integer modulus + * @v result Big integer to hold result + */ +#define bigint_mod_multiply( multiplicand, multiplier, modulus, \ + result ) do { \ + unsigned int size = bigint_size (multiplicand); \ + bigint_mod_multiply_raw ( (multiplicand)->element, \ + (multiplier)->element, \ + (modulus)->element, \ + (result)->element, size ); \ + } while ( 0 ) + +/** + * Perform modular exponentiation of big integers + * + * @v base Big integer base + * @v modulus Big integer modulus + * @v exponent Big integer exponent + * @v result Big integer to hold result + */ +#define bigint_mod_exp( base, modulus, exponent, result ) do { \ + unsigned int size = bigint_size (base); \ + unsigned int exponent_size = bigint_size (exponent); \ + bigint_mod_exp_raw ( (base)->element, (modulus)->element, \ + (exponent)->element, (result)->element, \ + size, exponent_size ); \ + } while ( 0 ) + +#include + +void bigint_init_raw ( bigint_element_t *value0, unsigned int size, + const void *data, size_t len ); +void bigint_done_raw ( const bigint_element_t *value0, unsigned int size, + void *out, size_t len ); +void bigint_add_raw ( const bigint_element_t *addend0, + bigint_element_t *value0, unsigned int size ); +void bigint_subtract_raw ( const bigint_element_t *subtrahend0, + bigint_element_t *value0, unsigned int size ); +void bigint_rol_raw ( bigint_element_t *value0, unsigned int size ); +void bigint_ror_raw ( bigint_element_t *value0, unsigned int size ); +int bigint_is_zero_raw ( const bigint_element_t *value0, unsigned int size ); +int bigint_is_geq_raw ( const bigint_element_t *value0, + const bigint_element_t *reference0, + unsigned int size ); +int bigint_bit_is_set_raw ( const bigint_element_t *value0, unsigned int size, + unsigned int bit ); +int bigint_max_set_bit_raw ( const bigint_element_t *value0, + unsigned int size ); +void bigint_grow_raw ( const bigint_element_t *source0, + unsigned int source_size, bigint_element_t *dest0, + unsigned int dest_size ); +void bigint_shrink_raw ( const bigint_element_t *source0, + unsigned int source_size, bigint_element_t *dest0, + unsigned int dest_size ); +void bigint_multiply_raw ( const bigint_element_t *multiplicand0, + const bigint_element_t *multiplier0, + bigint_element_t *result0, + unsigned int size ); +void bigint_mod_multiply_raw ( const bigint_element_t *multiplicand0, + const bigint_element_t *multiplier0, + const bigint_element_t *modulus0, + bigint_element_t *result0, + unsigned int size ); +void bigint_mod_exp_raw ( const bigint_element_t *base0, + const bigint_element_t *modulus0, + const bigint_element_t *exponent0, + bigint_element_t *result0, + unsigned int size, + unsigned int exponent_size ); + +#endif /* _IPXE_BIGINT_H */