/* * Copyright (c) 2002, 2003 Bob Deblier * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Lesser General Public * License as published by the Free Software Foundation; either * version 2.1 of the License, or (at your option) any later version. * * This library 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 * Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this library; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA * */ /*!\file mp.h * \brief Multi-precision integer routines. * * The routines declared here are all low-level operations, most of them * suitable to be implemented in assembler. Prime candidates are in order * of importance (according to gprof): * * * With some smart use of available assembler instructions, it's possible * to speed these routines up by a factor of 2 to 4. * * \author Bob Deblier * \ingroup MP_m */ #ifndef _MP_H #define _MP_H #include "beecrypt.api.h" #include "mpopt.h" #define MP_HWBITS (MP_WBITS >> 1) #define MP_WBYTES (MP_WBITS >> 3) #define MP_WNIBBLES (MP_WBITS >> 2) #if (MP_WBITS == 64) # define MP_WORDS_TO_BITS(x) ((x) << 6) # define MP_WORDS_TO_NIBBLES(x) ((x) << 4) # define MP_WORDS_TO_BYTES(x) ((x) << 3) # define MP_BITS_TO_WORDS(x) ((x) >> 6) # define MP_NIBBLES_TO_WORDS(x) ((x) >> 4) # define MP_BYTES_TO_WORDS(x) ((x) >> 3) #elif (MP_WBITS == 32) # define MP_WORDS_TO_BITS(x) ((x) << 5) # define MP_WORDS_TO_NIBBLES(x) ((x) << 3) # define MP_WORDS_TO_BYTES(x) ((x) << 2) # define MP_BITS_TO_WORDS(x) ((x) >> 5) # define MP_NIBBLES_TO_WORDS(x) ((x) >> 3) # define MP_BYTES_TO_WORDS(x) ((x) >> 2) #else # error #endif #define MP_MSBMASK (((mpw) 0x1) << (MP_WBITS-1)) #define MP_LSBMASK ((mpw) 0x1) #define MP_ALLMASK ~((mpw) 0x0) #ifdef __cplusplus extern "C" { #endif /** */ BEECRYPTAPI /*@unused@*/ void mpcopy(size_t size, /*@out@*/ mpw* dst, const mpw* src) /*@modifies dst @*/; #ifndef ASM_MPCOPY # define mpcopy(size, dst, src) \ /*@-aliasunique -mayaliasunique @*/ \ memcpy(dst, src, MP_WORDS_TO_BYTES((unsigned)size)) \ /*@=aliasunique =mayaliasunique @*/ #endif /** */ BEECRYPTAPI /*@unused@*/ void mpmove(size_t size, /*@out@*/ mpw* dst, const mpw* src) /*@modifies dst @*/; #ifndef ASM_MPMOVE # define mpmove(size, dst, src) memmove(dst, src, MP_WORDS_TO_BYTES((unsigned)size)) #endif /** * This function zeroes a multi-precision integer of a given size. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. */ BEECRYPTAPI void mpzero(size_t size, /*@out@*/ mpw* data) /*@modifies data @*/; /** * This function fills each word of a multi-precision integer with a * given value. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @param fill The value fill the data with. */ BEECRYPTAPI /*@unused@*/ void mpfill(size_t size, /*@out@*/ mpw* data, mpw fill) /*@modifies data @*/; /** * This function tests if a multi-precision integer is odd. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if odd, 0 if even */ BEECRYPTAPI int mpodd (size_t size, const mpw* data) /*@*/; /** * This function tests if a multi-precision integer is even. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if even, 0 if odd */ BEECRYPTAPI int mpeven(size_t size, const mpw* data) /*@*/; /** * This function tests if a multi-precision integer is zero. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if zero, 0 if not zero */ BEECRYPTAPI int mpz (size_t size, const mpw* data) /*@*/; /** * This function tests if a multi-precision integer is not zero. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if not zero, 0 if zero */ /*@-exportlocal@*/ BEECRYPTAPI int mpnz (size_t size, const mpw* data) /*@*/; /*@=exportlocal@*/ /** * This function tests if two multi-precision integers of the same size * are equal. * @param size The size of the multi-precision integers. * @param xdata The first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if equal, 0 if not equal */ BEECRYPTAPI int mpeq (size_t size, const mpw* xdata, const mpw* ydata) /*@*/; /** * This function tests if two multi-precision integers of the same size * differ. * @param size The size of the multi-precision integers. * @param xdata The first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if not equal, 0 if equal */ /*@-exportlocal@*/ BEECRYPTAPI int mpne (size_t size, const mpw* xdata, const mpw* ydata) /*@*/; /*@=exportlocal@*/ /** * This function tests if the first of two multi-precision integers * of the same size is greater than the second. * @note The comparison treats the arguments as unsigned. * @param size The size of the multi-precision integers. * @param xdata The first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if greater, 0 if less or equal */ /*@-exportlocal@*/ BEECRYPTAPI int mpgt (size_t size, const mpw* xdata, const mpw* ydata) /*@*/; /*@=exportlocal@*/ /** * This function tests if the first of two multi-precision integers * of the same size is less than the second. * @note The comparison treats the arguments as unsigned. * @param size The size of the multi-precision integers. * @param xdata The first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if less, 0 if greater or equal */ /*@-exportlocal@*/ BEECRYPTAPI int mplt (size_t size, const mpw* xdata, const mpw* ydata) /*@*/; /*@=exportlocal@*/ /** * This function tests if the first of two multi-precision integers * of the same size is greater than or equal to the second. * @note The comparison treats the arguments as unsigned. * @param size The size of the multi-precision integers. * @param xdata The first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if greater or equal, 0 if less */ BEECRYPTAPI int mpge (size_t size, const mpw* xdata, const mpw* ydata) /*@*/; /** * This function tests if the first of two multi-precision integers * of the same size is less than or equal to the second. * @note The comparison treats the arguments as unsigned. * @param size The size of the multi-precision integers. * @param xdata The first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if less or equal, 0 if greater */ BEECRYPTAPI int mple (size_t size, const mpw* xdata, const mpw* ydata) /*@*/; /** * This function tests if two multi-precision integers of different * size are equal. * @param xsize The size of the first multi-precision integer. * @param xdata The first multi-precision integer. * @param ysize The size of the first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if equal, 0 if not equal */ BEECRYPTAPI int mpeqx(size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata) /*@*/; /** * This function tests if two multi-precision integers of different * size differ. * @param xsize The size of the first multi-precision integer. * @param xdata The first multi-precision integer. * @param ysize The size of the first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if not equal, 0 if equal */ BEECRYPTAPI /*@unused@*/ int mpnex(size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata) /*@*/; /** * This function tests if the first of two multi-precision integers * of different size is greater than the second. * @note The comparison treats the arguments as unsigned. * @param xsize The size of the first multi-precision integer. * @param xdata The first multi-precision integer. * @param ysize The size of the second multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if greater, 0 if less or equal */ BEECRYPTAPI /*@unused@*/ int mpgtx(size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata) /*@*/; /** * This function tests if the first of two multi-precision integers * of different size is less than the second. * @note The comparison treats the arguments as unsigned. * @param xsize The size of the first multi-precision integer. * @param xdata The first multi-precision integer. * @param ysize The size of the second multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if less, 0 if greater or equal */ BEECRYPTAPI /*@unused@*/ int mpltx(size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata) /*@*/; /** * This function tests if the first of two multi-precision integers * of different size is greater than or equal to the second. * @note The comparison treats the arguments as unsigned. * @param xsize The size of the first multi-precision integer. * @param xdata The first multi-precision integer. * @param ysize The size of the second multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if greater or equal, 0 if less */ BEECRYPTAPI int mpgex(size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata) /*@*/; /** * This function tests if the first of two multi-precision integers * of different size is less than or equal to the second. * @note The comparison treats the arguments as unsigned. * @param xsize The size of the first multi-precision integer. * @param xdata The first multi-precision integer. * @param ysize The size of the second multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if less or equal, 0 if greater */ BEECRYPTAPI int mplex(size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata) /*@*/; /** * This function tests if the value of a multi-precision integer is * equal to one. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if equal to one, 0 otherwise. */ BEECRYPTAPI int mpisone(size_t size, const mpw* data) /*@*/; /** * This function tests if the value of a multi-precision integer is * equal to two. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if equal to two, 0 otherwise. */ BEECRYPTAPI int mpistwo(size_t size, const mpw* data) /*@*/; /** * This function tests if the value of a multi-precision integer is * less than or equal to one. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if less than or equal to one, 0 otherwise. */ BEECRYPTAPI int mpleone(size_t size, const mpw* data) /*@*/; /** * This function tests if multi-precision integer x is equal to y minus one. * @param size The size of the multi-precision integers. * @param xdata The first multi-precision integer. * @param ydata The second multi-precision integer. * @return 1 if less than or equal to (y-1), 0 otherwise. */ BEECRYPTAPI /*@unused@*/ int mpeqmone(size_t size, const mpw* xdata, const mpw* ydata) /*@*/; /** * This function tests the most significant bit of a multi-precision integer. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if set, 0 if not set */ BEECRYPTAPI int mpmsbset(size_t size, const mpw* data) /*@*/; /** * This function tests the least significant bit of a multi-precision integer. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. * @return 1 if set, 0 if not set */ BEECRYPTAPI /*@unused@*/ int mplsbset(size_t size, const mpw* data) /*@*/; /** * This function sets the most significant bit of a multi-precision integer. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. */ BEECRYPTAPI /*@unused@*/ void mpsetmsb(size_t size, mpw* data) /*@modifies data @*/; /** * This function sets the least significant bit of a multi-precision integer. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. */ BEECRYPTAPI void mpsetlsb(size_t size, mpw* data) /*@modifies data @*/; /** * This function clears the most significant bit of a multi-precision integer. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. */ BEECRYPTAPI /*@unused@*/ void mpclrmsb(size_t size, mpw* data) /*@modifies data @*/; /** * This function clears the least significant bit of a multi-precision integer. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. */ BEECRYPTAPI /*@unused@*/ void mpclrlsb(size_t size, mpw* data) /*@modifies data @*/; /** */ BEECRYPTAPI /*@unused@*/ void mpand(size_t size, mpw* xdata, const mpw* ydata) /*@modifies xdata @*/; /** */ BEECRYPTAPI /*@unused@*/ void mpxor(size_t size, mpw* xdata, const mpw* ydata) /*@modifies xdata @*/; /** */ BEECRYPTAPI /*@unused@*/ void mpor(size_t size, mpw* xdata, const mpw* ydata) /*@modifies xdata @*/; /** * This function flips all bits of a multi-precision integer. * @param size The size of the multi-precision integer. * @param data The multi-precision integer data. */ /*@-exportlocal@*/ BEECRYPTAPI void mpnot(size_t size, mpw* data) /*@modifies data @*/; /*@=exportlocal@*/ /** */ BEECRYPTAPI void mpsetw(size_t size, /*@out@*/ mpw* xdata, mpw y) /*@modifies xdata @*/; /** */ BEECRYPTAPI void mpsetx(size_t xsize, /*@out@*/ mpw* xdata, size_t ysize, const mpw* ydata) /*@modifies xdata @*/; /** */ BEECRYPTAPI int mpaddw(size_t size, mpw* xdata, mpw y) /*@modifies xdata @*/; /** * This function adds two multi-precision integers of equal size. * The performed operation is in pseudocode: x += y * @param size The size of the multi-precision integers. * @param xdata The first multi-precision integer. * @param ydata The second multi-precision integer. * @return The carry-over value of the operation (either 0 or 1). */ BEECRYPTAPI int mpadd (size_t size, mpw* xdata, const mpw* ydata) /*@modifies xdata @*/; /** */ BEECRYPTAPI int mpaddx(size_t xsize, mpw* xdata, size_t ysize, const mpw* ydata) /*@modifies xdata @*/; /** */ BEECRYPTAPI int mpsubw(size_t size, mpw* xdata, mpw y) /*@modifies xdata @*/; /** */ BEECRYPTAPI int mpsub (size_t size, mpw* xdata, const mpw* ydata) /*@modifies xdata @*/; /** */ BEECRYPTAPI int mpsubx(size_t xsize, mpw* xdata, size_t ysize, const mpw* ydata) /*@modifies xdata @*/; /** */ BEECRYPTAPI int mpmultwo(size_t size, mpw* data) /*@modifies data @*/; /** */ BEECRYPTAPI void mpneg(size_t size, mpw* data) /*@modifies data @*/; /** */ BEECRYPTAPI /*@unused@*/ size_t mpsize(size_t size, const mpw* data) /*@*/; /** */ BEECRYPTAPI size_t mpbits(size_t size, const mpw* data) /*@*/; /** */ BEECRYPTAPI size_t mpmszcnt(size_t size, const mpw* data) /*@*/; /** */ /*@-exportlocal@*/ BEECRYPTAPI /*@unused@*/ size_t mplszcnt(size_t size, const mpw* data) /*@*/; /*@=exportlocal@*/ /** */ BEECRYPTAPI void mplshift(size_t size, mpw* data, size_t count) /*@modifies data @*/; /** */ BEECRYPTAPI void mprshift(size_t size, mpw* data, size_t count) /*@modifies data @*/; /** */ BEECRYPTAPI size_t mprshiftlsz(size_t size, mpw* data) /*@modifies data @*/; /** */ BEECRYPTAPI size_t mpnorm(size_t size, mpw* data) /*@modifies data @*/; /** */ BEECRYPTAPI void mpdivtwo (size_t size, mpw* data) /*@modifies data @*/; /** */ /*@-exportlocal@*/ BEECRYPTAPI void mpsdivtwo(size_t size, mpw* data) /*@modifies data @*/; /*@=exportlocal@*/ /** * This function performs a multi-precision multiply-setup. * * This function is used in the computation of a full multi-precision * multiplication. By using it we can shave off a few cycles; otherwise we'd * have to zero the least significant half of the result first and use * another call to the slightly slower mpaddmul function. * * @param size The size of multi-precision integer multiplier. * @param result The place where result will be accumulated. * @param data The multi-precision integer multiplier. * @param y The multiplicand. * @return The carry-over multi-precision word. */ BEECRYPTAPI mpw mpsetmul (size_t size, /*@out@*/ mpw* result, const mpw* data, mpw y) /*@modifies result @*/; /** * This function performs a mult-precision multiply-accumulate. * * This function is used in the computation of a full multi-precision * multiplication. It computes the product-by-one-word and accumulates it with * the previous result. * * @param size The size of multi-precision integer multiplier. * @param result The place where result will be accumulated. * @param data The multi-precision integer multiplier. * @param y The multiplicand. * @return The carry-over multi-precision word. */ BEECRYPTAPI mpw mpaddmul (size_t size, /*@out@*/ mpw* result, const mpw* data, mpw y) /*@modifies result @*/; /** * This function is used in the calculation of a multi-precision * squaring. */ /*@-exportlocal@*/ BEECRYPTAPI void mpaddsqrtrc(size_t size, /*@out@*/ mpw* result, const mpw* data) /*@modifies result @*/; /*@=exportlocal@*/ /** * This function computes a full multi-precision product. */ BEECRYPTAPI void mpmul(/*@out@*/ mpw* result, size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata) /*@modifies result @*/; /** * This function computes a full multi-precision square. */ BEECRYPTAPI void mpsqr(/*@out@*/ mpw* result, size_t size, const mpw* data) /*@modifies result @*/; /** */ BEECRYPTAPI void mpgcd_w(size_t size, const mpw* xdata, const mpw* ydata, /*@out@*/ mpw* result, /*@out@*/ mpw* wksp) /*@modifies result, wksp @*/; /** */ BEECRYPTAPI int mpextgcd_w(size_t size, const mpw* xdata, const mpw* ndata, /*@out@*/ mpw* result, /*@out@*/ mpw* wksp) /*@modifies result, wksp @*/; /** */ /*@-exportlocal@*/ BEECRYPTAPI mpw mppndiv(mpw xhi, mpw xlo, mpw y) /*@*/; /*@=exportlocal@*/ /** */ BEECRYPTAPI /*@unused@*/ mpw mpnmodw(/*@out@*/ mpw* result, size_t xsize, const mpw* xdata, mpw y, /*@out@*/ mpw* workspace) /*@modifies result, workspace @*/; /** */ BEECRYPTAPI void mpnmod(/*@out@*/ mpw* result, size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata, /*@out@*/ mpw* workspace) /*@modifies result, workspace @*/; /** */ BEECRYPTAPI void mpndivmod(/*@out@*/ mpw* result, size_t xsize, const mpw* xdata, size_t ysize, const mpw* ydata, /*@out@*/ mpw* workspace) /*@modifies result, workspace @*/; /** */ BEECRYPTAPI /*@unused@*/ void mpprint(size_t size, /*@null@*/ const mpw* data) /*@globals stdout, fileSystem @*/ /*@modifies stdout, fileSystem @*/; /** */ BEECRYPTAPI /*@unused@*/ void mpprintln(size_t size, /*@null@*/ const mpw* data) /*@globals stdout, fileSystem @*/ /*@modifies stdout, fileSystem @*/; /** */ BEECRYPTAPI /*@unused@*/ void mpfprint(/*@null@*/ FILE * f, size_t size, /*@null@*/ const mpw* data) /*@globals fileSystem @*/ /*@modifies *f, fileSystem @*/; /** */ /*@-exportlocal@*/ BEECRYPTAPI void mpfprintln(/*@null@*/ FILE * f, size_t size, /*@null@*/ const mpw* data) /*@globals fileSystem @*/ /*@modifies *f, fileSystem @*/; /*@=exportlocal@*/ /** */ BEECRYPTAPI int i2osp(/*@out@*/ byte *osdata, size_t ossize, const mpw* idata, size_t isize) /*@modifies osdata @*/; /** */ BEECRYPTAPI int os2ip(/*@out@*/ mpw *idata, size_t isize, const byte* osdata, size_t ossize) /*@modifies idata @*/; /** */ BEECRYPTAPI int hs2ip(/*@out@*/ mpw* idata, size_t isize, const char* hsdata, size_t hssize) /*@modifies idata @*/; #ifdef __cplusplus } #endif #endif