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285 lines
10 KiB
C
285 lines
10 KiB
C
/*
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* mpi-priv.h - Private header file for MPI
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* Arbitrary precision integer arithmetic library
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*
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* NOTE WELL: the content of this header file is NOT part of the "public"
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* API for the MPI library, and may change at any time.
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* Application programs that use libmpi should NOT include this header file.
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*
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* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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#ifndef _MPI_PRIV_H_
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#define _MPI_PRIV_H_ 1
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#include "mpi.h"
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#include <stdlib.h>
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#include <string.h>
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#include <ctype.h>
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#if MP_DEBUG
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#include <stdio.h>
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#define DIAG(T,V) {fprintf(stderr,T);mp_print(V,stderr);fputc('\n',stderr);}
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#else
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#define DIAG(T,V)
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#endif
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/* If we aren't using a wired-in logarithm table, we need to include
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the math library to get the log() function
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*/
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/* {{{ s_logv_2[] - log table for 2 in various bases */
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#if MP_LOGTAB
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/*
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A table of the logs of 2 for various bases (the 0 and 1 entries of
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this table are meaningless and should not be referenced).
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This table is used to compute output lengths for the mp_toradix()
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function. Since a number n in radix r takes up about log_r(n)
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digits, we estimate the output size by taking the least integer
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greater than log_r(n), where:
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log_r(n) = log_2(n) * log_r(2)
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This table, therefore, is a table of log_r(2) for 2 <= r <= 36,
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which are the output bases supported.
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*/
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extern const float s_logv_2[];
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#define LOG_V_2(R) s_logv_2[(R)]
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#else
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/*
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If MP_LOGTAB is not defined, use the math library to compute the
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logarithms on the fly. Otherwise, use the table.
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Pick which works best for your system.
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*/
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#include <math.h>
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#define LOG_V_2(R) (log(2.0)/log(R))
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#endif /* if MP_LOGTAB */
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/* }}} */
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/* {{{ Digit arithmetic macros */
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/*
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When adding and multiplying digits, the results can be larger than
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can be contained in an mp_digit. Thus, an mp_word is used. These
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macros mask off the upper and lower digits of the mp_word (the
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mp_word may be more than 2 mp_digits wide, but we only concern
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ourselves with the low-order 2 mp_digits)
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*/
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#define CARRYOUT(W) (mp_digit)((W)>>DIGIT_BIT)
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#define ACCUM(W) (mp_digit)(W)
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#define MP_MIN(a,b) (((a) < (b)) ? (a) : (b))
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#define MP_MAX(a,b) (((a) > (b)) ? (a) : (b))
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#define MP_HOWMANY(a,b) (((a) + (b) - 1)/(b))
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#define MP_ROUNDUP(a,b) (MP_HOWMANY(a,b) * (b))
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/* }}} */
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/* {{{ Comparison constants */
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#define MP_LT -1
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#define MP_EQ 0
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#define MP_GT 1
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/* }}} */
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/* {{{ private function declarations */
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/*
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If MP_MACRO is false, these will be defined as actual functions;
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otherwise, suitable macro definitions will be used. This works
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around the fact that ANSI C89 doesn't support an 'inline' keyword
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(although I hear C9x will ... about bloody time). At present, the
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macro definitions are identical to the function bodies, but they'll
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expand in place, instead of generating a function call.
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I chose these particular functions to be made into macros because
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some profiling showed they are called a lot on a typical workload,
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and yet they are primarily housekeeping.
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*/
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#if MP_MACRO == 0
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void s_mp_setz(mp_digit *dp, mp_size count); /* zero digits */
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void s_mp_copy(const mp_digit *sp, mp_digit *dp, mp_size count); /* copy */
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void *s_mp_alloc(size_t nb, size_t ni); /* general allocator */
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void s_mp_free(void *ptr); /* general free function */
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extern unsigned long mp_allocs;
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extern unsigned long mp_frees;
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extern unsigned long mp_copies;
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#else
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/* Even if these are defined as macros, we need to respect the settings
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of the MP_MEMSET and MP_MEMCPY configuration options...
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*/
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#if MP_MEMSET == 0
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#define s_mp_setz(dp, count) \
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{int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=0;}
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#else
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#define s_mp_setz(dp, count) memset(dp, 0, (count) * sizeof(mp_digit))
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#endif /* MP_MEMSET */
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#if MP_MEMCPY == 0
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#define s_mp_copy(sp, dp, count) \
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{int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=(sp)[ix];}
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#else
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#define s_mp_copy(sp, dp, count) memcpy(dp, sp, (count) * sizeof(mp_digit))
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#endif /* MP_MEMCPY */
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#define s_mp_alloc(nb, ni) calloc(nb, ni)
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#define s_mp_free(ptr) {if(ptr) free(ptr);}
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#endif /* MP_MACRO */
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mp_err s_mp_grow(mp_int *mp, mp_size min); /* increase allocated size */
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mp_err s_mp_pad(mp_int *mp, mp_size min); /* left pad with zeroes */
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#if MP_MACRO == 0
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void s_mp_clamp(mp_int *mp); /* clip leading zeroes */
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#else
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#define s_mp_clamp(mp)\
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{ mp_size used = MP_USED(mp); \
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while (used > 1 && DIGIT(mp, used - 1) == 0) --used; \
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MP_USED(mp) = used; \
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}
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#endif /* MP_MACRO */
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void s_mp_exch(mp_int *a, mp_int *b); /* swap a and b in place */
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mp_err s_mp_lshd(mp_int *mp, mp_size p); /* left-shift by p digits */
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void s_mp_rshd(mp_int *mp, mp_size p); /* right-shift by p digits */
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mp_err s_mp_mul_2d(mp_int *mp, mp_digit d); /* multiply by 2^d in place */
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void s_mp_div_2d(mp_int *mp, mp_digit d); /* divide by 2^d in place */
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void s_mp_mod_2d(mp_int *mp, mp_digit d); /* modulo 2^d in place */
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void s_mp_div_2(mp_int *mp); /* divide by 2 in place */
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mp_err s_mp_mul_2(mp_int *mp); /* multiply by 2 in place */
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mp_err s_mp_norm(mp_int *a, mp_int *b, mp_digit *pd);
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/* normalize for division */
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mp_err s_mp_add_d(mp_int *mp, mp_digit d); /* unsigned digit addition */
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mp_err s_mp_sub_d(mp_int *mp, mp_digit d); /* unsigned digit subtract */
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mp_err s_mp_mul_d(mp_int *mp, mp_digit d); /* unsigned digit multiply */
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mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r);
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/* unsigned digit divide */
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mp_err s_mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu);
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/* Barrett reduction */
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mp_err s_mp_add(mp_int *a, const mp_int *b); /* magnitude addition */
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mp_err s_mp_add_3arg(const mp_int *a, const mp_int *b, mp_int *c);
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mp_err s_mp_sub(mp_int *a, const mp_int *b); /* magnitude subtract */
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mp_err s_mp_sub_3arg(const mp_int *a, const mp_int *b, mp_int *c);
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mp_err s_mp_add_offset(mp_int *a, mp_int *b, mp_size offset);
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/* a += b * RADIX^offset */
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mp_err s_mp_mul(mp_int *a, const mp_int *b); /* magnitude multiply */
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#if MP_SQUARE
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mp_err s_mp_sqr(mp_int *a); /* magnitude square */
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#else
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#define s_mp_sqr(a) s_mp_mul(a, a)
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#endif
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mp_err s_mp_div(mp_int *rem, mp_int *div, mp_int *quot); /* magnitude div */
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mp_err s_mp_exptmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
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mp_err s_mp_2expt(mp_int *a, mp_digit k); /* a = 2^k */
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int s_mp_cmp(const mp_int *a, const mp_int *b); /* magnitude comparison */
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int s_mp_cmp_d(const mp_int *a, mp_digit d); /* magnitude digit compare */
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int s_mp_ispow2(const mp_int *v); /* is v a power of 2? */
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int s_mp_ispow2d(mp_digit d); /* is d a power of 2? */
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int s_mp_tovalue(char ch, int r); /* convert ch to value */
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char s_mp_todigit(mp_digit val, int r, int low); /* convert val to digit */
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int s_mp_outlen(int bits, int r); /* output length in bytes */
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mp_digit s_mp_invmod_radix(mp_digit P); /* returns (P ** -1) mod RADIX */
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mp_err s_mp_invmod_odd_m( const mp_int *a, const mp_int *m, mp_int *c);
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mp_err s_mp_invmod_2d( const mp_int *a, mp_size k, mp_int *c);
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mp_err s_mp_invmod_even_m(const mp_int *a, const mp_int *m, mp_int *c);
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#ifdef NSS_USE_COMBA
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#define IS_POWER_OF_2(a) ((a) && !((a) & ((a)-1)))
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void s_mp_mul_comba_4(const mp_int *A, const mp_int *B, mp_int *C);
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void s_mp_mul_comba_8(const mp_int *A, const mp_int *B, mp_int *C);
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void s_mp_mul_comba_16(const mp_int *A, const mp_int *B, mp_int *C);
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void s_mp_mul_comba_32(const mp_int *A, const mp_int *B, mp_int *C);
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void s_mp_sqr_comba_4(const mp_int *A, mp_int *B);
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void s_mp_sqr_comba_8(const mp_int *A, mp_int *B);
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void s_mp_sqr_comba_16(const mp_int *A, mp_int *B);
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void s_mp_sqr_comba_32(const mp_int *A, mp_int *B);
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#endif /* end NSS_USE_COMBA */
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/* ------ mpv functions, operate on arrays of digits, not on mp_int's ------ */
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#if defined (__OS2__) && defined (__IBMC__)
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#define MPI_ASM_DECL __cdecl
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#else
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#define MPI_ASM_DECL
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#endif
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#ifdef MPI_AMD64
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mp_digit MPI_ASM_DECL s_mpv_mul_set_vec64(mp_digit*, mp_digit *, mp_size, mp_digit);
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mp_digit MPI_ASM_DECL s_mpv_mul_add_vec64(mp_digit*, const mp_digit*, mp_size, mp_digit);
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/* c = a * b */
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#define s_mpv_mul_d(a, a_len, b, c) \
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((mp_digit *)c)[a_len] = s_mpv_mul_set_vec64(c, a, a_len, b)
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/* c += a * b */
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#define s_mpv_mul_d_add(a, a_len, b, c) \
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((mp_digit *)c)[a_len] = s_mpv_mul_add_vec64(c, a, a_len, b)
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#else
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void MPI_ASM_DECL s_mpv_mul_d(const mp_digit *a, mp_size a_len,
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mp_digit b, mp_digit *c);
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void MPI_ASM_DECL s_mpv_mul_d_add(const mp_digit *a, mp_size a_len,
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mp_digit b, mp_digit *c);
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#endif
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void MPI_ASM_DECL s_mpv_mul_d_add_prop(const mp_digit *a,
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mp_size a_len, mp_digit b,
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mp_digit *c);
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void MPI_ASM_DECL s_mpv_sqr_add_prop(const mp_digit *a,
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mp_size a_len,
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mp_digit *sqrs);
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mp_err MPI_ASM_DECL s_mpv_div_2dx1d(mp_digit Nhi, mp_digit Nlo,
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mp_digit divisor, mp_digit *quot, mp_digit *rem);
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/* c += a * b * (MP_RADIX ** offset); */
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#define s_mp_mul_d_add_offset(a, b, c, off) \
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(s_mpv_mul_d_add_prop(MP_DIGITS(a), MP_USED(a), b, MP_DIGITS(c) + off), MP_OKAY)
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typedef struct {
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mp_int N; /* modulus N */
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mp_digit n0prime; /* n0' = - (n0 ** -1) mod MP_RADIX */
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} mp_mont_modulus;
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mp_err s_mp_mul_mont(const mp_int *a, const mp_int *b, mp_int *c,
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mp_mont_modulus *mmm);
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mp_err s_mp_redc(mp_int *T, mp_mont_modulus *mmm);
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/*
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* s_mpi_getProcessorLineSize() returns the size in bytes of the cache line
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* if a cache exists, or zero if there is no cache. If more than one
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* cache line exists, it should return the smallest line size (which is
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* usually the L1 cache).
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*
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* mp_modexp uses this information to make sure that private key information
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* isn't being leaked through the cache.
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*
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* see mpcpucache.c for the implementation.
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*/
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unsigned long s_mpi_getProcessorLineSize();
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/* }}} */
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#endif
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