/* crypto/bn/bn_asm.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 #include #include "cryptlib.h" #include "bn_lcl.h" #if defined(BN_LLONG) || defined(BN_UMULT_HIGH) BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) { BN_ULONG c1 = 0; assert(num >= 0); if (num <= 0) return (c1); while (num & ~3) { mul_add(rp[0], ap[0], w, c1); mul_add(rp[1], ap[1], w, c1); mul_add(rp[2], ap[2], w, c1); mul_add(rp[3], ap[3], w, c1); ap += 4; rp += 4; num -= 4; } if (num) { mul_add(rp[0], ap[0], w, c1); if (--num == 0) return c1; mul_add(rp[1], ap[1], w, c1); if (--num == 0) return c1; mul_add(rp[2], ap[2], w, c1); return c1; } return (c1); } BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) { BN_ULONG c1 = 0; assert(num >= 0); if (num <= 0) return (c1); while (num & ~3) { mul(rp[0], ap[0], w, c1); mul(rp[1], ap[1], w, c1); mul(rp[2], ap[2], w, c1); mul(rp[3], ap[3], w, c1); ap += 4; rp += 4; num -= 4; } if (num) { mul(rp[0], ap[0], w, c1); if (--num == 0) return c1; mul(rp[1], ap[1], w, c1); if (--num == 0) return c1; mul(rp[2], ap[2], w, c1); } return (c1); } void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n) { assert(n >= 0); if (n <= 0) return; while (n & ~3) { sqr(r[0], r[1], a[0]); sqr(r[2], r[3], a[1]); sqr(r[4], r[5], a[2]); sqr(r[6], r[7], a[3]); a += 4; r += 8; n -= 4; } if (n) { sqr(r[0], r[1], a[0]); if (--n == 0) return; sqr(r[2], r[3], a[1]); if (--n == 0) return; sqr(r[4], r[5], a[2]); } } #else /* !(defined(BN_LLONG) || * defined(BN_UMULT_HIGH)) */ BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) { BN_ULONG c = 0; BN_ULONG bl, bh; assert(num >= 0); if (num <= 0) return ((BN_ULONG)0); bl = LBITS(w); bh = HBITS(w); for (;;) { mul_add(rp[0], ap[0], bl, bh, c); if (--num == 0) break; mul_add(rp[1], ap[1], bl, bh, c); if (--num == 0) break; mul_add(rp[2], ap[2], bl, bh, c); if (--num == 0) break; mul_add(rp[3], ap[3], bl, bh, c); if (--num == 0) break; ap += 4; rp += 4; } return (c); } BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w) { BN_ULONG carry = 0; BN_ULONG bl, bh; assert(num >= 0); if (num <= 0) return ((BN_ULONG)0); bl = LBITS(w); bh = HBITS(w); for (;;) { mul(rp[0], ap[0], bl, bh, carry); if (--num == 0) break; mul(rp[1], ap[1], bl, bh, carry); if (--num == 0) break; mul(rp[2], ap[2], bl, bh, carry); if (--num == 0) break; mul(rp[3], ap[3], bl, bh, carry); if (--num == 0) break; ap += 4; rp += 4; } return (carry); } void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n) { assert(n >= 0); if (n <= 0) return; for (;;) { sqr64(r[0], r[1], a[0]); if (--n == 0) break; sqr64(r[2], r[3], a[1]); if (--n == 0) break; sqr64(r[4], r[5], a[2]); if (--n == 0) break; sqr64(r[6], r[7], a[3]); if (--n == 0) break; a += 4; r += 8; } } #endif /* !(defined(BN_LLONG) || * defined(BN_UMULT_HIGH)) */ #if defined(BN_LLONG) && defined(BN_DIV2W) BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d) { return ((BN_ULONG)(((((BN_ULLONG) h) << BN_BITS2) | l) / (BN_ULLONG) d)); } #else /* Divide h,l by d and return the result. */ /* I need to test this some more :-( */ BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d) { BN_ULONG dh, dl, q, ret = 0, th, tl, t; int i, count = 2; if (d == 0) return (BN_MASK2); i = BN_num_bits_word(d); assert((i == BN_BITS2) || (h <= (BN_ULONG)1 << i)); i = BN_BITS2 - i; if (h >= d) h -= d; if (i) { d <<= i; h = (h << i) | (l >> (BN_BITS2 - i)); l <<= i; } dh = (d & BN_MASK2h) >> BN_BITS4; dl = (d & BN_MASK2l); for (;;) { if ((h >> BN_BITS4) == dh) q = BN_MASK2l; else q = h / dh; th = q * dh; tl = dl * q; for (;;) { t = h - th; if ((t & BN_MASK2h) || ((tl) <= ((t << BN_BITS4) | ((l & BN_MASK2h) >> BN_BITS4)))) break; q--; th -= dh; tl -= dl; } t = (tl >> BN_BITS4); tl = (tl << BN_BITS4) & BN_MASK2h; th += t; if (l < tl) th++; l -= tl; if (h < th) { h += d; q--; } h -= th; if (--count == 0) break; ret = q << BN_BITS4; h = ((h << BN_BITS4) | (l >> BN_BITS4)) & BN_MASK2; l = (l & BN_MASK2l) << BN_BITS4; } ret |= q; return (ret); } #endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */ #ifdef BN_LLONG BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n) { BN_ULLONG ll = 0; assert(n >= 0); if (n <= 0) return ((BN_ULONG)0); for (;;) { ll += (BN_ULLONG) a[0] + b[0]; r[0] = (BN_ULONG)ll & BN_MASK2; ll >>= BN_BITS2; if (--n <= 0) break; ll += (BN_ULLONG) a[1] + b[1]; r[1] = (BN_ULONG)ll & BN_MASK2; ll >>= BN_BITS2; if (--n <= 0) break; ll += (BN_ULLONG) a[2] + b[2]; r[2] = (BN_ULONG)ll & BN_MASK2; ll >>= BN_BITS2; if (--n <= 0) break; ll += (BN_ULLONG) a[3] + b[3]; r[3] = (BN_ULONG)ll & BN_MASK2; ll >>= BN_BITS2; if (--n <= 0) break; a += 4; b += 4; r += 4; } return ((BN_ULONG)ll); } #else /* !BN_LLONG */ BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n) { BN_ULONG c, l, t; assert(n >= 0); if (n <= 0) return ((BN_ULONG)0); c = 0; for (;;) { t = a[0]; t = (t + c) & BN_MASK2; c = (t < c); l = (t + b[0]) & BN_MASK2; c += (l < t); r[0] = l; if (--n <= 0) break; t = a[1]; t = (t + c) & BN_MASK2; c = (t < c); l = (t + b[1]) & BN_MASK2; c += (l < t); r[1] = l; if (--n <= 0) break; t = a[2]; t = (t + c) & BN_MASK2; c = (t < c); l = (t + b[2]) & BN_MASK2; c += (l < t); r[2] = l; if (--n <= 0) break; t = a[3]; t = (t + c) & BN_MASK2; c = (t < c); l = (t + b[3]) & BN_MASK2; c += (l < t); r[3] = l; if (--n <= 0) break; a += 4; b += 4; r += 4; } return ((BN_ULONG)c); } #endif /* !BN_LLONG */ BN_ULONG bn_sub_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n) { BN_ULONG t1, t2; int c = 0; assert(n >= 0); if (n <= 0) return ((BN_ULONG)0); for (;;) { t1 = a[0]; t2 = b[0]; r[0] = (t1 - t2 - c) & BN_MASK2; if (t1 != t2) c = (t1 < t2); if (--n <= 0) break; t1 = a[1]; t2 = b[1]; r[1] = (t1 - t2 - c) & BN_MASK2; if (t1 != t2) c = (t1 < t2); if (--n <= 0) break; t1 = a[2]; t2 = b[2]; r[2] = (t1 - t2 - c) & BN_MASK2; if (t1 != t2) c = (t1 < t2); if (--n <= 0) break; t1 = a[3]; t2 = b[3]; r[3] = (t1 - t2 - c) & BN_MASK2; if (t1 != t2) c = (t1 < t2); if (--n <= 0) break; a += 4; b += 4; r += 4; } return (c); } #ifdef BN_MUL_COMBA # undef bn_mul_comba8 # undef bn_mul_comba4 # undef bn_sqr_comba8 # undef bn_sqr_comba4 /* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */ /* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */ /* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */ /* * sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number * c=(c2,c1,c0) */ /* * Keep in mind that carrying into high part of multiplication result * can not overflow, because it cannot be all-ones. */ # ifdef BN_LLONG # define mul_add_c(a,b,c0,c1,c2) \ t=(BN_ULLONG)a*b; \ t1=(BN_ULONG)Lw(t); \ t2=(BN_ULONG)Hw(t); \ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; # define mul_add_c2(a,b,c0,c1,c2) \ t=(BN_ULLONG)a*b; \ tt=(t+t)&BN_MASK; \ if (tt < t) c2++; \ t1=(BN_ULONG)Lw(tt); \ t2=(BN_ULONG)Hw(tt); \ c0=(c0+t1)&BN_MASK2; \ if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; # define sqr_add_c(a,i,c0,c1,c2) \ t=(BN_ULLONG)a[i]*a[i]; \ t1=(BN_ULONG)Lw(t); \ t2=(BN_ULONG)Hw(t); \ c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \ c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++; # define sqr_add_c2(a,i,j,c0,c1,c2) \ mul_add_c2((a)[i],(a)[j],c0,c1,c2) # elif defined(BN_UMULT_LOHI) # define mul_add_c(a,b,c0,c1,c2) { \ BN_ULONG ta=(a),tb=(b); \ BN_UMULT_LOHI(t1,t2,ta,tb); \ c0 += t1; t2 += (c0