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+/* crypto/bn/bn_lib.c */
+/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
+ * All rights reserved.
+ *
+ * This package is an SSL implementation written
+ * by Eric Young (eay@cryptsoft.com).
+ * The implementation was written so as to conform with Netscapes SSL.
+ *
+ * This library is free for commercial and non-commercial use as long as
+ * the following conditions are aheared to. The following conditions
+ * apply to all code found in this distribution, be it the RC4, RSA,
+ * lhash, DES, etc., code; not just the SSL code. The SSL documentation
+ * included with this distribution is covered by the same copyright terms
+ * except that the holder is Tim Hudson (tjh@cryptsoft.com).
+ *
+ * Copyright remains Eric Young's, and as such any Copyright notices in
+ * the code are not to be removed.
+ * If this package is used in a product, Eric Young should be given attribution
+ * as the author of the parts of the library used.
+ * This can be in the form of a textual message at program startup or
+ * in documentation (online or textual) provided with the package.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. 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.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * "This product includes cryptographic software written by
+ * Eric Young (eay@cryptsoft.com)"
+ * The word 'cryptographic' can be left out if the rouines from the library
+ * being used are not cryptographic related :-).
+ * 4. If you include any Windows specific code (or a derivative thereof) from
+ * the apps directory (application code) you must include an acknowledgement:
+ * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``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 AUTHOR 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.
+ *
+ * The licence and distribution terms for any publically available version or
+ * derivative of this code cannot be changed. i.e. this code cannot simply be
+ * copied and put under another distribution licence
+ * [including the GNU Public Licence.]
+ */
+
+#ifndef BN_DEBUG
+# undef NDEBUG /* avoid conflicting definitions */
+# define NDEBUG
+#endif
+
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "bn_lcl.h"
+
+const char *BN_version="Big Number";
+
+/* For a 32 bit machine
+ * 2 - 4 == 128
+ * 3 - 8 == 256
+ * 4 - 16 == 512
+ * 5 - 32 == 1024
+ * 6 - 64 == 2048
+ * 7 - 128 == 4096
+ * 8 - 256 == 8192
+ */
+static int bn_limit_bits=0;
+static int bn_limit_num=8; /* (1<<bn_limit_bits) */
+static int bn_limit_bits_low=0;
+static int bn_limit_num_low=8; /* (1<<bn_limit_bits_low) */
+static int bn_limit_bits_high=0;
+static int bn_limit_num_high=8; /* (1<<bn_limit_bits_high) */
+static int bn_limit_bits_mont=0;
+static int bn_limit_num_mont=8; /* (1<<bn_limit_bits_mont) */
+
+int BN_num_bits_word(BN_ULONG l)
+ {
+ static const char bits[256]={
+ 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,
+ 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,
+ 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,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
+ };
+
+#if defined(SIXTY_FOUR_BIT_LONG)
+ if (l & 0xffffffff00000000L)
+ {
+ if (l & 0xffff000000000000L)
+ {
+ if (l & 0xff00000000000000L)
+ {
+ return(bits[(int)(l>>56)]+56);
+ }
+ else return(bits[(int)(l>>48)]+48);
+ }
+ else
+ {
+ if (l & 0x0000ff0000000000L)
+ {
+ return(bits[(int)(l>>40)]+40);
+ }
+ else return(bits[(int)(l>>32)]+32);
+ }
+ }
+ else
+#else
+#ifdef SIXTY_FOUR_BIT
+ if (l & 0xffffffff00000000LL)
+ {
+ if (l & 0xffff000000000000LL)
+ {
+ if (l & 0xff00000000000000LL)
+ {
+ return(bits[(int)(l>>56)]+56);
+ }
+ else return(bits[(int)(l>>48)]+48);
+ }
+ else
+ {
+ if (l & 0x0000ff0000000000LL)
+ {
+ return(bits[(int)(l>>40)]+40);
+ }
+ else return(bits[(int)(l>>32)]+32);
+ }
+ }
+ else
+#endif
+#endif
+ {
+#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
+ if (l & 0xffff0000L)
+ {
+ if (l & 0xff000000L)
+ return(bits[(int)(l>>24L)]+24);
+ else return(bits[(int)(l>>16L)]+16);
+ }
+ else
+#endif
+ {
+#if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
+ if (l & 0xff00L)
+ return(bits[(int)(l>>8)]+8);
+ else
+#endif
+ return(bits[(int)(l )] );
+ }
+ }
+ }
+
+int BN_num_bits(const BIGNUM *a)
+ {
+ BN_ULONG l;
+ int i;
+
+ bn_check_top(a);
+
+ if (a->top == 0) return(0);
+ l=a->d[a->top-1];
+ assert(l != 0);
+ i=(a->top-1)*BN_BITS2;
+ return(i+BN_num_bits_word(l));
+ }
+
+void BN_clear_free(BIGNUM *a)
+ {
+ int i;
+
+ if (a == NULL) return;
+ if (a->d != NULL)
+ {
+ memset(a->d,0,a->dmax*sizeof(a->d[0]));
+ if (!(BN_get_flags(a,BN_FLG_STATIC_DATA)))
+ free(a->d);
+ }
+ i=BN_get_flags(a,BN_FLG_MALLOCED);
+ memset(a,0,sizeof(BIGNUM));
+ if (i)
+ free(a);
+ }
+
+void BN_free(BIGNUM *a)
+ {
+ if (a == NULL) return;
+ if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA)))
+ free(a->d);
+ a->flags|=BN_FLG_FREE; /* REMOVE? */
+ if (a->flags & BN_FLG_MALLOCED)
+ free(a);
+ }
+
+void BN_init(BIGNUM *a)
+ {
+ memset(a,0,sizeof(BIGNUM));
+ }
+
+BIGNUM *BN_new(void)
+ {
+ BIGNUM *ret;
+
+ if ((ret=(BIGNUM *)malloc(sizeof(BIGNUM))) == NULL)
+ {
+ return(NULL);
+ }
+ ret->flags=BN_FLG_MALLOCED;
+ ret->top=0;
+ ret->neg=0;
+ ret->dmax=0;
+ ret->d=NULL;
+ return(ret);
+ }
+
+/* This is an internal function that should not be used in applications.
+ * It ensures that 'b' has enough room for a 'words' word number number.
+ * It is mostly used by the various BIGNUM routines. If there is an error,
+ * NULL is returned. If not, 'b' is returned. */
+
+BIGNUM *bn_expand2(BIGNUM *b, int words)
+ {
+ BN_ULONG *A,*a;
+ const BN_ULONG *B;
+ int i;
+
+ bn_check_top(b);
+
+ if (words > b->dmax)
+ {
+ bn_check_top(b);
+ if (BN_get_flags(b,BN_FLG_STATIC_DATA))
+ {
+ return(NULL);
+ }
+ a=A=(BN_ULONG *)malloc(sizeof(BN_ULONG)*(words+1));
+ if (A == NULL)
+ {
+ return(NULL);
+ }
+#if 1
+ B=b->d;
+ /* Check if the previous number needs to be copied */
+ if (B != NULL)
+ {
+#if 0
+ /* This lot is an unrolled loop to copy b->top
+ * BN_ULONGs from B to A
+ */
+/*
+ * I have nothing against unrolling but it's usually done for
+ * several reasons, namely:
+ * - minimize percentage of decision making code, i.e. branches;
+ * - avoid cache trashing;
+ * - make it possible to schedule loads earlier;
+ * Now let's examine the code below. The cornerstone of C is
+ * "programmer is always right" and that's what we love it for:-)
+ * For this very reason C compilers have to be paranoid when it
+ * comes to data aliasing and assume the worst. Yeah, but what
+ * does it mean in real life? This means that loop body below will
+ * be compiled to sequence of loads immediately followed by stores
+ * as compiler assumes the worst, something in A==B+1 style. As a
+ * result CPU pipeline is going to starve for incoming data. Secondly
+ * if A and B happen to share same cache line such code is going to
+ * cause severe cache trashing. Both factors have severe impact on
+ * performance of modern CPUs and this is the reason why this
+ * particular piece of code is #ifdefed away and replaced by more
+ * "friendly" version found in #else section below. This comment
+ * also applies to BN_copy function.
+ *
+ * <appro@fy.chalmers.se>
+ */
+ for (i=b->top&(~7); i>0; i-=8)
+ {
+ A[0]=B[0]; A[1]=B[1]; A[2]=B[2]; A[3]=B[3];
+ A[4]=B[4]; A[5]=B[5]; A[6]=B[6]; A[7]=B[7];
+ A+=8;
+ B+=8;
+ }
+ switch (b->top&7)
+ {
+ case 7:
+ A[6]=B[6];
+ case 6:
+ A[5]=B[5];
+ case 5:
+ A[4]=B[4];
+ case 4:
+ A[3]=B[3];
+ case 3:
+ A[2]=B[2];
+ case 2:
+ A[1]=B[1];
+ case 1:
+ A[0]=B[0];
+ case 0:
+ /* I need the 'case 0' entry for utrix cc.
+ * If the optimizer is turned on, it does the
+ * switch table by doing
+ * a=top&7
+ * a--;
+ * goto jump_table[a];
+ * If top is 0, this makes us jump to 0xffffffc
+ * which is rather bad :-(.
+ * eric 23-Apr-1998
+ */
+ ;
+ }
+#else
+ for (i=b->top>>2; i>0; i--,A+=4,B+=4)
+ {
+ /*
+ * The fact that the loop is unrolled
+ * 4-wise is a tribute to Intel. It's
+ * the one that doesn't have enough
+ * registers to accomodate more data.
+ * I'd unroll it 8-wise otherwise:-)
+ *
+ * <appro@fy.chalmers.se>
+ */
+ BN_ULONG a0,a1,a2,a3;
+ a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
+ A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
+ }
+ switch (b->top&3)
+ {
+ case 3: A[2]=B[2];
+ case 2: A[1]=B[1];
+ case 1: A[0]=B[0];
+ case 0: ; /* ultrix cc workaround, see above */
+ }
+#endif
+ free(b->d);
+ }
+
+ b->d=a;
+ b->dmax=words;
+
+ /* Now need to zero any data between b->top and b->max */
+
+ A= &(b->d[b->top]);
+ for (i=(b->dmax - b->top)>>3; i>0; i--,A+=8)
+ {
+ A[0]=0; A[1]=0; A[2]=0; A[3]=0;
+ A[4]=0; A[5]=0; A[6]=0; A[7]=0;
+ }
+ for (i=(b->dmax - b->top)&7; i>0; i--,A++)
+ A[0]=0;
+#else
+ memset(A,0,sizeof(BN_ULONG)*(words+1));
+ memcpy(A,b->d,sizeof(b->d[0])*b->top);
+ b->d=a;
+ b->max=words;
+#endif
+
+/* memset(&(p[b->max]),0,((words+1)-b->max)*sizeof(BN_ULONG)); */
+/* { int i; for (i=b->max; i<words+1; i++) p[i]=i;} */
+
+ }
+ return(b);
+ }
+
+BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
+ {
+ int i;
+ BN_ULONG *A;
+ const BN_ULONG *B;
+
+ bn_check_top(b);
+
+ if (a == b) return(a);
+ if (bn_wexpand(a,b->top) == NULL) return(NULL);
+
+#if 1
+ A=a->d;
+ B=b->d;
+ for (i=b->top>>2; i>0; i--,A+=4,B+=4)
+ {
+ BN_ULONG a0,a1,a2,a3;
+ a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
+ A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
+ }
+ switch (b->top&3)
+ {
+ case 3: A[2]=B[2];
+ case 2: A[1]=B[1];
+ case 1: A[0]=B[0];
+ case 0: ; /* ultrix cc workaround, see comments in bn_expand2 */
+ }
+#else
+ memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
+#endif
+
+/* memset(&(a->d[b->top]),0,sizeof(a->d[0])*(a->max-b->top));*/
+ a->top=b->top;
+ if ((a->top == 0) && (a->d != NULL))
+ a->d[0]=0;
+ a->neg=b->neg;
+ return(a);
+ }
+
+int BN_set_word(BIGNUM *a, BN_ULONG w)
+ {
+ int i,n;
+ if (bn_expand(a,sizeof(BN_ULONG)*8) == NULL) return(0);
+
+ n=sizeof(BN_ULONG)/BN_BYTES;
+ a->neg=0;
+ a->top=0;
+ a->d[0]=(BN_ULONG)w&BN_MASK2;
+ if (a->d[0] != 0) a->top=1;
+ for (i=1; i<n; i++)
+ {
+ /* the following is done instead of
+ * w>>=BN_BITS2 so compilers don't complain
+ * on builds where sizeof(long) == BN_TYPES */
+#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
+ w>>=BN_BITS4;
+ w>>=BN_BITS4;
+#else
+ w=0;
+#endif
+ a->d[i]=(BN_ULONG)w&BN_MASK2;
+ if (a->d[i] != 0) a->top=i+1;
+ }
+ return(1);
+ }
+
+/* ignore negative */
+BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
+ {
+ unsigned int i,m;
+ unsigned int n;
+ BN_ULONG l;
+
+ if (ret == NULL) ret=BN_new();
+ if (ret == NULL) return(NULL);
+ l=0;
+ n=len;
+ if (n == 0)
+ {
+ ret->top=0;
+ return(ret);
+ }
+ if (bn_expand(ret,(int)(n+2)*8) == NULL)
+ return(NULL);
+ i=((n-1)/BN_BYTES)+1;
+ m=((n-1)%(BN_BYTES));
+ ret->top=i;
+ while (n-- > 0)
+ {
+ l=(l<<8L)| *(s++);
+ if (m-- == 0)
+ {
+ ret->d[--i]=l;
+ l=0;
+ m=BN_BYTES-1;
+ }
+ }
+ /* need to call this due to clear byte at top if avoiding
+ * having the top bit set (-ve number) */
+ bn_fix_top(ret);
+ return(ret);
+ }
+
+/* ignore negative */
+int BN_bn2bin(const BIGNUM *a, unsigned char *to)
+ {
+ int n,i;
+ BN_ULONG l;
+
+ n=i=BN_num_bytes(a);
+ while (i-- > 0)
+ {
+ l=a->d[i/BN_BYTES];
+ *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff;
+ }
+ return(n);
+ }
+
+int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
+ {
+ int i;
+ BN_ULONG t1,t2,*ap,*bp;
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ i=a->top-b->top;
+ if (i != 0) return(i);
+ ap=a->d;
+ bp=b->d;
+ for (i=a->top-1; i>=0; i--)
+ {
+ t1= ap[i];
+ t2= bp[i];
+ if (t1 != t2)
+ return(t1 > t2?1:-1);
+ }
+ return(0);
+ }
+
+int BN_cmp(const BIGNUM *a, const BIGNUM *b)
+ {
+ int i;
+ int gt,lt;
+ BN_ULONG t1,t2;
+
+ if ((a == NULL) || (b == NULL))
+ {
+ if (a != NULL)
+ return(-1);
+ else if (b != NULL)
+ return(1);
+ else
+ return(0);
+ }
+
+ bn_check_top(a);
+ bn_check_top(b);
+
+ if (a->neg != b->neg)
+ {
+ if (a->neg)
+ return(-1);
+ else return(1);
+ }
+ if (a->neg == 0)
+ { gt=1; lt= -1; }
+ else { gt= -1; lt=1; }
+
+ if (a->top > b->top) return(gt);
+ if (a->top < b->top) return(lt);
+ for (i=a->top-1; i>=0; i--)
+ {
+ t1=a->d[i];
+ t2=b->d[i];
+ if (t1 > t2) return(gt);
+ if (t1 < t2) return(lt);
+ }
+ return(0);
+ }
+
+int BN_is_bit_set(const BIGNUM *a, int n)
+ {
+ int i,j;
+
+ if (n < 0) return(0);
+ i=n/BN_BITS2;
+ j=n%BN_BITS2;
+ if (a->top <= i) return(0);
+ return((a->d[i]&(((BN_ULONG)1)<<j))?1:0);
+ }
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