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-/*
- * mpi-priv.h - Private header file for MPI
- * Arbitrary precision integer arithmetic library
- *
- * NOTE WELL: the content of this header file is NOT part of the "public"
- * API for the MPI library, and may change at any time.
- * Application programs that use libmpi should NOT include this header file.
- *
- * The contents of this file are subject to the Mozilla Public
- * License Version 1.1 (the "License"); you may not use this file
- * except in compliance with the License. You may obtain a copy of
- * the License at http://www.mozilla.org/MPL/
- *
- * Software distributed under the License is distributed on an "AS
- * IS" basis, WITHOUT WARRANTY OF ANY KIND, either express or
- * implied. See the License for the specific language governing
- * rights and limitations under the License.
- *
- * The Original Code is the MPI Arbitrary Precision Integer Arithmetic
- * library.
- *
- * The Initial Developer of the Original Code is Michael J. Fromberger.
- * Portions created by Michael J. Fromberger are
- * Copyright (C) 1998, 1999, 2000 Michael J. Fromberger.
- * All Rights Reserved.
- *
- * Contributor(s):
- * Netscape Communications Corporation
- *
- * Alternatively, the contents of this file may be used under the
- * terms of the GNU General Public License Version 2 or later (the
- * "GPL"), in which case the provisions of the GPL are applicable
- * instead of those above. If you wish to allow use of your
- * version of this file only under the terms of the GPL and not to
- * allow others to use your version of this file under the MPL,
- * indicate your decision by deleting the provisions above and
- * replace them with the notice and other provisions required by
- * the GPL. If you do not delete the provisions above, a recipient
- * may use your version of this file under either the MPL or the GPL.
- *
- * $Id$
- */
-#ifndef _MPI_PRIV_H_
-#define _MPI_PRIV_H_ 1
-
-#include "mpi.h"
-#include <stdlib.h>
-#include <string.h>
-#include <ctype.h>
-
-#if MP_DEBUG
-#include <stdio.h>
-
-#define DIAG(T,V) {fprintf(stderr,T);mp_print(V,stderr);fputc('\n',stderr);}
-#else
-#define DIAG(T,V)
-#endif
-
-/* If we aren't using a wired-in logarithm table, we need to include
- the math library to get the log() function
- */
-
-/* {{{ s_logv_2[] - log table for 2 in various bases */
-
-#if MP_LOGTAB
-/*
- A table of the logs of 2 for various bases (the 0 and 1 entries of
- this table are meaningless and should not be referenced).
-
- This table is used to compute output lengths for the mp_toradix()
- function. Since a number n in radix r takes up about log_r(n)
- digits, we estimate the output size by taking the least integer
- greater than log_r(n), where:
-
- log_r(n) = log_2(n) * log_r(2)
-
- This table, therefore, is a table of log_r(2) for 2 <= r <= 36,
- which are the output bases supported.
- */
-
-extern const float s_logv_2[];
-#define LOG_V_2(R) s_logv_2[(R)]
-
-#else
-
-/*
- If MP_LOGTAB is not defined, use the math library to compute the
- logarithms on the fly. Otherwise, use the table.
- Pick which works best for your system.
- */
-
-#include <math.h>
-#define LOG_V_2(R) (log(2.0)/log(R))
-
-#endif /* if MP_LOGTAB */
-
-/* }}} */
-
-/* {{{ Digit arithmetic macros */
-
-/*
- When adding and multiplying digits, the results can be larger than
- can be contained in an mp_digit. Thus, an mp_word is used. These
- macros mask off the upper and lower digits of the mp_word (the
- mp_word may be more than 2 mp_digits wide, but we only concern
- ourselves with the low-order 2 mp_digits)
- */
-
-#define CARRYOUT(W) (mp_digit)((W)>>DIGIT_BIT)
-#define ACCUM(W) (mp_digit)(W)
-
-#define MP_MIN(a,b) (((a) < (b)) ? (a) : (b))
-#define MP_MAX(a,b) (((a) > (b)) ? (a) : (b))
-#define MP_HOWMANY(a,b) (((a) + (b) - 1)/(b))
-#define MP_ROUNDUP(a,b) (MP_HOWMANY(a,b) * (b))
-
-/* }}} */
-
-/* {{{ Comparison constants */
-
-#define MP_LT -1
-#define MP_EQ 0
-#define MP_GT 1
-
-/* }}} */
-
-/* {{{ private function declarations */
-
-/*
- If MP_MACRO is false, these will be defined as actual functions;
- otherwise, suitable macro definitions will be used. This works
- around the fact that ANSI C89 doesn't support an 'inline' keyword
- (although I hear C9x will ... about bloody time). At present, the
- macro definitions are identical to the function bodies, but they'll
- expand in place, instead of generating a function call.
-
- I chose these particular functions to be made into macros because
- some profiling showed they are called a lot on a typical workload,
- and yet they are primarily housekeeping.
- */
-#if MP_MACRO == 0
- void s_mp_setz(mp_digit *dp, mp_size count); /* zero digits */
- void s_mp_copy(const mp_digit *sp, mp_digit *dp, mp_size count); /* copy */
- void *s_mp_alloc(size_t nb, size_t ni); /* general allocator */
- void s_mp_free(void *ptr); /* general free function */
-extern unsigned long mp_allocs;
-extern unsigned long mp_frees;
-extern unsigned long mp_copies;
-#else
-
- /* Even if these are defined as macros, we need to respect the settings
- of the MP_MEMSET and MP_MEMCPY configuration options...
- */
- #if MP_MEMSET == 0
- #define s_mp_setz(dp, count) \
- {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=0;}
- #else
- #define s_mp_setz(dp, count) memset(dp, 0, (count) * sizeof(mp_digit))
- #endif /* MP_MEMSET */
-
- #if MP_MEMCPY == 0
- #define s_mp_copy(sp, dp, count) \
- {int ix;for(ix=0;ix<(count);ix++)(dp)[ix]=(sp)[ix];}
- #else
- #define s_mp_copy(sp, dp, count) memcpy(dp, sp, (count) * sizeof(mp_digit))
- #endif /* MP_MEMCPY */
-
- #define s_mp_alloc(nb, ni) calloc(nb, ni)
- #define s_mp_free(ptr) {if(ptr) free(ptr);}
-#endif /* MP_MACRO */
-
-mp_err s_mp_grow(mp_int *mp, mp_size min); /* increase allocated size */
-mp_err s_mp_pad(mp_int *mp, mp_size min); /* left pad with zeroes */
-
-#if MP_MACRO == 0
- void s_mp_clamp(mp_int *mp); /* clip leading zeroes */
-#else
- #define s_mp_clamp(mp)\
- { mp_size used = MP_USED(mp); \
- while (used > 1 && DIGIT(mp, used - 1) == 0) --used; \
- MP_USED(mp) = used; \
- }
-#endif /* MP_MACRO */
-
-void s_mp_exch(mp_int *a, mp_int *b); /* swap a and b in place */
-
-mp_err s_mp_lshd(mp_int *mp, mp_size p); /* left-shift by p digits */
-void s_mp_rshd(mp_int *mp, mp_size p); /* right-shift by p digits */
-mp_err s_mp_mul_2d(mp_int *mp, mp_digit d); /* multiply by 2^d in place */
-void s_mp_div_2d(mp_int *mp, mp_digit d); /* divide by 2^d in place */
-void s_mp_mod_2d(mp_int *mp, mp_digit d); /* modulo 2^d in place */
-void s_mp_div_2(mp_int *mp); /* divide by 2 in place */
-mp_err s_mp_mul_2(mp_int *mp); /* multiply by 2 in place */
-mp_err s_mp_norm(mp_int *a, mp_int *b, mp_digit *pd);
- /* normalize for division */
-mp_err s_mp_add_d(mp_int *mp, mp_digit d); /* unsigned digit addition */
-mp_err s_mp_sub_d(mp_int *mp, mp_digit d); /* unsigned digit subtract */
-mp_err s_mp_mul_d(mp_int *mp, mp_digit d); /* unsigned digit multiply */
-mp_err s_mp_div_d(mp_int *mp, mp_digit d, mp_digit *r);
- /* unsigned digit divide */
-mp_err s_mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu);
- /* Barrett reduction */
-mp_err s_mp_add(mp_int *a, const mp_int *b); /* magnitude addition */
-mp_err s_mp_add_3arg(const mp_int *a, const mp_int *b, mp_int *c);
-mp_err s_mp_sub(mp_int *a, const mp_int *b); /* magnitude subtract */
-mp_err s_mp_sub_3arg(const mp_int *a, const mp_int *b, mp_int *c);
-mp_err s_mp_add_offset(mp_int *a, mp_int *b, mp_size offset);
- /* a += b * RADIX^offset */
-mp_err s_mp_mul(mp_int *a, const mp_int *b); /* magnitude multiply */
-#if MP_SQUARE
-mp_err s_mp_sqr(mp_int *a); /* magnitude square */
-#else
-#define s_mp_sqr(a) s_mp_mul(a, a)
-#endif
-mp_err s_mp_div(mp_int *rem, mp_int *div, mp_int *quot); /* magnitude div */
-mp_err s_mp_exptmod(const mp_int *a, const mp_int *b, const mp_int *m, mp_int *c);
-mp_err s_mp_2expt(mp_int *a, mp_digit k); /* a = 2^k */
-int s_mp_cmp(const mp_int *a, const mp_int *b); /* magnitude comparison */
-int s_mp_cmp_d(const mp_int *a, mp_digit d); /* magnitude digit compare */
-int s_mp_ispow2(const mp_int *v); /* is v a power of 2? */
-int s_mp_ispow2d(mp_digit d); /* is d a power of 2? */
-
-int s_mp_tovalue(char ch, int r); /* convert ch to value */
-char s_mp_todigit(mp_digit val, int r, int low); /* convert val to digit */
-int s_mp_outlen(int bits, int r); /* output length in bytes */
-mp_digit s_mp_invmod_radix(mp_digit P); /* returns (P ** -1) mod RADIX */
-mp_err s_mp_invmod_odd_m( const mp_int *a, const mp_int *m, mp_int *c);
-mp_err s_mp_invmod_2d( const mp_int *a, mp_size k, mp_int *c);
-mp_err s_mp_invmod_even_m(const mp_int *a, const mp_int *m, mp_int *c);
-
-/* ------ mpv functions, operate on arrays of digits, not on mp_int's ------ */
-#if defined (__OS2__) && defined (__IBMC__)
-#define MPI_ASM_DECL __cdecl
-#else
-#define MPI_ASM_DECL
-#endif
-
-void MPI_ASM_DECL s_mpv_mul_d(const mp_digit *a, mp_size a_len,
- mp_digit b, mp_digit *c);
-void MPI_ASM_DECL s_mpv_mul_d_add(const mp_digit *a, mp_size a_len,
- mp_digit b, mp_digit *c);
-void MPI_ASM_DECL s_mpv_mul_d_add_prop(const mp_digit *a,
- mp_size a_len, mp_digit b,
- mp_digit *c);
-void MPI_ASM_DECL s_mpv_sqr_add_prop(const mp_digit *a,
- mp_size a_len,
- mp_digit *sqrs);
-
-mp_err MPI_ASM_DECL s_mpv_div_2dx1d(mp_digit Nhi, mp_digit Nlo,
- mp_digit divisor, mp_digit *quot, mp_digit *rem);
-
-/* c += a * b * (MP_RADIX ** offset); */
-#define s_mp_mul_d_add_offset(a, b, c, off) \
-(s_mpv_mul_d_add_prop(MP_DIGITS(a), MP_USED(a), b, MP_DIGITS(c) + off), MP_OKAY)
-
-typedef struct {
- mp_int N; /* modulus N */
- mp_digit n0prime; /* n0' = - (n0 ** -1) mod MP_RADIX */
- mp_size b; /* R == 2 ** b, also b = # significant bits in N */
-} mp_mont_modulus;
-
-mp_err s_mp_mul_mont(const mp_int *a, const mp_int *b, mp_int *c,
- mp_mont_modulus *mmm);
-mp_err s_mp_redc(mp_int *T, mp_mont_modulus *mmm);
-
-/* }}} */
-#endif
-