📄 bn_asm.c
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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) */#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_HIGH)#define mul_add_c(a,b,c0,c1,c2) { \ BN_ULONG ta=(a),tb=(b); \ t1 = ta * tb; \ t2 = BN_UMULT_HIGH(ta,tb); \ c0 += t1; t2 += (c0<t1)?1:0; \ c1 += t2; c2 += (c1<t2)?1:0; \ }#define mul_add_c2(a,b,c0,c1,c2) { \ BN_ULONG ta=(a),tb=(b),t0; \ t1 = BN_UMULT_HIGH(ta,tb); \ t0 = ta * tb; \ t2 = t1+t1; c2 += (t2<t1)?1:0; \ t1 = t0+t0; t2 += (t1<t0)?1:0; \ c0 += t1; t2 += (c0<t1)?1:0; \ c1 += t2; c2 += (c1<t2)?1:0; \ }#define sqr_add_c(a,i,c0,c1,c2) { \ BN_ULONG ta=(a)[i]; \ t1 = ta * ta; \ t2 = BN_UMULT_HIGH(ta,ta); \ c0 += t1; t2 += (c0<t1)?1:0; \ c1 += t2; c2 += (c1<t2)?1:0; \ }#define sqr_add_c2(a,i,j,c0,c1,c2) \ mul_add_c2((a)[i],(a)[j],c0,c1,c2)#else /* !BN_LLONG */#define mul_add_c(a,b,c0,c1,c2) \ t1=LBITS(a); t2=HBITS(a); \ bl=LBITS(b); bh=HBITS(b); \ mul64(t1,t2,bl,bh); \ 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) \ t1=LBITS(a); t2=HBITS(a); \ bl=LBITS(b); bh=HBITS(b); \ mul64(t1,t2,bl,bh); \ if (t2 & BN_TBIT) c2++; \ t2=(t2+t2)&BN_MASK2; \ if (t1 & BN_TBIT) t2++; \ t1=(t1+t1)&BN_MASK2; \ 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) \ sqr64(t1,t2,(a)[i]); \ 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)#endif /* !BN_LLONG */void bn_mul_comba8(BN_ULONG * r, BN_ULONG * a, BN_ULONG * b){#ifdef BN_LLONG BN_ULLONG t;#else BN_ULONG bl, bh;#endif BN_ULONG t1, t2; BN_ULONG c1, c2, c3; c1 = 0; c2 = 0; c3 = 0; mul_add_c(a[0], b[0], c1, c2, c3); r[0] = c1; c1 = 0; mul_add_c(a[0], b[1], c2, c3, c1); mul_add_c(a[1], b[0], c2, c3, c1); r[1] = c2; c2 = 0; mul_add_c(a[2], b[0], c3, c1, c2); mul_add_c(a[1], b[1], c3, c1, c2); mul_add_c(a[0], b[2], c3, c1, c2); r[2] = c3; c3 = 0; mul_add_c(a[0], b[3], c1, c2, c3); mul_add_c(a[1], b[2], c1, c2, c3); mul_add_c(a[2], b[1], c1, c2, c3); mul_add_c(a[3], b[0], c1, c2, c3); r[3] = c1; c1 = 0; mul_add_c(a[4], b[0], c2, c3, c1); mul_add_c(a[3], b[1], c2, c3, c1); mul_add_c(a[2], b[2], c2, c3, c1); mul_add_c(a[1], b[3], c2, c3, c1); mul_add_c(a[0], b[4], c2, c3, c1); r[4] = c2; c2 = 0; mul_add_c(a[0], b[5], c3, c1, c2); mul_add_c(a[1], b[4], c3, c1, c2); mul_add_c(a[2], b[3], c3, c1, c2); mul_add_c(a[3], b[2], c3, c1, c2); mul_add_c(a[4], b[1], c3, c1, c2); mul_add_c(a[5], b[0], c3, c1, c2); r[5] = c3; c3 = 0; mul_add_c(a[6], b[0], c1, c2, c3); mul_add_c(a[5], b[1], c1, c2, c3); mul_add_c(a[4], b[2], c1, c2, c3); mul_add_c(a[3], b[3], c1, c2, c3); mul_add_c(a[2], b[4], c1, c2, c3); mul_add_c(a[1], b[5], c1, c2, c3); mul_add_c(a[0], b[6], c1, c2, c3); r[6] = c1; c1 = 0; mul_add_c(a[0], b[7], c2, c3, c1); mul_add_c(a[1], b[6], c2, c3, c1); mul_add_c(a[2], b[5], c2, c3, c1); mul_add_c(a[3], b[4], c2, c3, c1); mul_add_c(a[4], b[3], c2, c3, c1); mul_add_c(a[5], b[2], c2, c3, c1); mul_add_c(a[6], b[1], c2, c3, c1); mul_add_c(a[7], b[0], c2, c3, c1); r[7] = c2; c2 = 0; mul_add_c(a[7], b[1], c3, c1, c2); mul_add_c(a[6], b[2], c3, c1, c2); mul_add_c(a[5], b[3], c3, c1, c2); mul_add_c(a[4], b[4], c3, c1, c2); mul_add_c(a[3], b[5], c3, c1, c2); mul_add_c(a[2], b[6], c3, c1, c2); mul_add_c(a[1], b[7], c3, c1, c2); r[8] = c3; c3 = 0; mul_add_c(a[2], b[7], c1, c2, c3); mul_add_c(a[3], b[6], c1, c2, c3); mul_add_c(a[4], b[5], c1, c2, c3); mul_add_c(a[5], b[4], c1, c2, c3); mul_add_c(a[6], b[3], c1, c2, c3); mul_add_c(a[7], b[2], c1, c2, c3); r[9] = c1; c1 = 0; mul_add_c(a[7], b[3], c2, c3, c1); mul_add_c(a[6], b[4], c2, c3, c1); mul_add_c(a[5], b[5], c2, c3, c1); mul_add_c(a[4], b[6], c2, c3, c1); mul_add_c(a[3], b[7], c2, c3, c1); r[10] = c2; c2 = 0; mul_add_c(a[4], b[7], c3, c1, c2); mul_add_c(a[5], b[6], c3, c1, c2); mul_add_c(a[6], b[5], c3, c1, c2); mul_add_c(a[7], b[4], c3, c1, c2); r[11] = c3; c3 = 0; mul_add_c(a[7], b[5], c1, c2, c3); mul_add_c(a[6], b[6], c1, c2, c3); mul_add_c(a[5], b[7], c1, c2, c3); r[12] = c1; c1 = 0; mul_add_c(a[6], b[7], c2, c3, c1); mul_add_c(a[7], b[6], c2, c3, c1); r[13] = c2; c2 = 0; mul_add_c(a[7], b[7], c3, c1, c2); r[14] = c3; r[15] = c1;}void bn_mul_comba4(BN_ULONG * r, BN_ULONG * a, BN_ULONG * b){#ifdef BN_LLONG BN_ULLONG t;#else BN_ULONG bl, bh;#endif BN_ULONG t1, t2; BN_ULONG c1, c2, c3; c1 = 0; c2 = 0; c3 = 0; mul_add_c(a[0], b[0], c1, c2, c3); r[0] = c1; c1 = 0; mul_add_c(a[0], b[1], c2, c3, c1); mul_add_c(a[1], b[0], c2, c3, c1); r[1] = c2; c2 = 0; mul_add_c(a[2], b[0], c3, c1, c2); mul_add_c(a[1], b[1], c3, c1, c2); mul_add_c(a[0], b[2], c3, c1, c2); r[2] = c3; c3 = 0; mul_add_c(a[0], b[3], c1, c2, c3); mul_add_c(a[1], b[2], c1, c2, c3); mul_add_c(a[2], b[1], c1, c2, c3); mul_add_c(a[3], b[0], c1, c2, c3); r[3] = c1; c1 = 0; mul_add_c(a[3], b[1], c2, c3, c1); mul_add_c(a[2], b[2], c2, c3, c1); mul_add_c(a[1], b[3], c2, c3, c1); r[4] = c2; c2 = 0; mul_add_c(a[2], b[3], c3, c1, c2); mul_add_c(a[3], b[2], c3, c1, c2); r[5] = c3; c3 = 0; mul_add_c(a[3], b[3], c1, c2, c3); r[6] = c1; r[7] = c2;}void bn_sqr_comba8(BN_ULONG * r, BN_ULONG * a){#ifdef BN_LLONG BN_ULLONG t, tt;#else BN_ULONG bl, bh;#endif BN_ULONG t1, t2; BN_ULONG c1, c2, c3; c1 = 0; c2 = 0; c3 = 0; sqr_add_c(a, 0, c1, c2, c3); r[0] = c1; c1 = 0; sqr_add_c2(a, 1, 0, c2, c3, c1); r[1] = c2; c2 = 0; sqr_add_c(a, 1, c3, c1, c2); sqr_add_c2(a, 2, 0, c3, c1, c2); r[2] = c3; c3 = 0; sqr_add_c2(a, 3, 0, c1, c2, c3); sqr_add_c2(a, 2, 1, c1, c2, c3); r[3] = c1; c1 = 0; sqr_add_c(a, 2, c2, c3, c1); sqr_add_c2(a, 3, 1, c2, c3, c1); sqr_add_c2(a, 4, 0, c2, c3, c1); r[4] = c2; c2 = 0; sqr_add_c2(a, 5, 0, c3, c1, c2); sqr_add_c2(a, 4, 1, c3, c1, c2); sqr_add_c2(a, 3, 2, c3, c1, c2); r[5] = c3; c3 = 0; sqr_add_c(a, 3, c1, c2, c3); sqr_add_c2(a, 4, 2, c1, c2, c3); sqr_add_c2(a, 5, 1, c1, c2, c3); sqr_add_c2(a, 6, 0, c1, c2, c3); r[6] = c1; c1 = 0; sqr_add_c2(a, 7, 0, c2, c3, c1); sqr_add_c2(a, 6, 1, c2, c3, c1); sqr_add_c2(a, 5, 2, c2, c3, c1); sqr_add_c2(a, 4, 3, c2, c3, c1); r[7] = c2; c2 = 0; sqr_add_c(a, 4, c3, c1, c2); sqr_add_c2(a, 5, 3, c3, c1, c2); sqr_add_c2(a, 6, 2, c3, c1, c2); sqr_add_c2(a, 7, 1, c3, c1, c2); r[8] = c3; c3 = 0; sqr_add_c2(a, 7, 2, c1, c2, c3); sqr_add_c2(a, 6, 3, c1, c2, c3); sqr_add_c2(a, 5, 4, c1, c2, c3); r[9] = c1; c1 = 0; sqr_add_c(a, 5, c2, c3, c1); sqr_add_c2(a, 6, 4, c2, c3, c1); sqr_add_c2(a, 7, 3, c2, c3, c1); r[10] = c2; c2 = 0; sqr_add_c2(a, 7, 4, c3, c1, c2); sqr_add_c2(a, 6, 5, c3, c1, c2); r[11] = c3; c3 = 0; sqr_add_c(a, 6, c1, c2, c3); sqr_add_c2(a, 7, 5, c1, c2, c3); r[12] = c1; c1 = 0; sqr_add_c2(a, 7, 6, c2, c3, c1); r[13] = c2; c2 = 0; sqr_add_c(a, 7, c3, c1, c2); r[14] = c3; r[15] = c1;}void bn_sqr_comba4(BN_ULONG * r, BN_ULONG * a){#ifdef BN_LLONG BN_ULLONG t, tt;#else BN_ULONG bl, bh;#endif BN_ULONG t1, t2; BN_ULONG c1, c2, c3; c1 = 0; c2 = 0; c3 = 0; sqr_add_c(a, 0, c1, c2, c3); r[0] = c1; c1 = 0; sqr_add_c2(a, 1, 0, c2, c3, c1); r[1] = c2; c2 = 0; sqr_add_c(a, 1, c3, c1, c2); sqr_add_c2(a, 2, 0, c3, c1, c2); r[2] = c3; c3 = 0; sqr_add_c2(a, 3, 0, c1, c2, c3); sqr_add_c2(a, 2, 1, c1, c2, c3); r[3] = c1; c1 = 0; sqr_add_c(a, 2, c2, c3, c1); sqr_add_c2(a, 3, 1, c2, c3, c1); r[4] = c2; c2 = 0; sqr_add_c2(a, 3, 2, c3, c1, c2); r[5] = c3; c3 = 0; sqr_add_c(a, 3, c1, c2, c3); r[6] = c1; r[7] = c2;}#else /* !BN_MUL_COMBA *//* hmm... is it faster just to do a multiply? */#undef bn_sqr_comba4void bn_sqr_comba4(BN_ULONG * r, BN_ULONG * a){ BN_ULONG t[8]; bn_sqr_normal(r, a, 4, t);}#undef bn_sqr_comba8void bn_sqr_comba8(BN_ULONG * r, BN_ULONG * a){ BN_ULONG t[16]; bn_sqr_normal(r, a, 8, t);}void bn_mul_comba4(BN_ULONG * r, BN_ULONG * a, BN_ULONG * b){ r[4] = bn_mul_words(&(r[0]), a, 4, b[0]); r[5] = bn_mul_add_words(&(r[1]), a, 4, b[1]); r[6] = bn_mul_add_words(&(r[2]), a, 4, b[2]); r[7] = bn_mul_add_words(&(r[3]), a, 4, b[3]);}void bn_mul_comba8(BN_ULONG * r, BN_ULONG * a, BN_ULONG * b){ r[8] = bn_mul_words(&(r[0]), a, 8, b[0]); r[9] = bn_mul_add_words(&(r[1]), a, 8, b[1]); r[10] = bn_mul_add_words(&(r[2]), a, 8, b[2]); r[11] = bn_mul_add_words(&(r[3]), a, 8, b[3]); r[12] = bn_mul_add_words(&(r[4]), a, 8, b[4]); r[13] = bn_mul_add_words(&(r[5]), a, 8, b[5]); r[14] = bn_mul_add_words(&(r[6]), a, 8, b[6]); r[15] = bn_mul_add_words(&(r[7]), a, 8, b[7]);}#endif /* !BN_MUL_COMBA */
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