Optimized bn_nist.c. Performance improvement varies from one benchmark
and platform to another. It was measured to deliver 20-30% better performance on x86 platforms and 30-40% on x86_64, on nistp384 benchmark.
This commit is contained in:
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fc683d7213
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1fb97e1313
@ -319,6 +319,13 @@ static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
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:(to[(n)/2] =((m)&1)?(from[(m)/2]>>32):(from[(m)/2]&BN_MASK2l)))
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#define bn_32_set_0(to, n) (((n)&1)?(to[(n)/2]&=BN_MASK2l):(to[(n)/2]=0));
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#define bn_cp_32(to,n,from,m) ((m)>=0)?bn_cp_32_naked(to,n,from,m):bn_32_set_0(to,n)
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# if defined(L_ENDIAN)
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# if defined(__arch64__)
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# define NIST_INT64 long
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# else
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# define NIST_INT64 long long
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# endif
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# endif
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#else
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#define bn_cp_64(to, n, from, m) \
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{ \
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@ -330,10 +337,13 @@ static void nist_cp_bn(BN_ULONG *buf, BN_ULONG *a, int top)
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bn_32_set_0(to, (n)*2); \
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bn_32_set_0(to, (n)*2+1); \
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}
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#if BN_BITS2 == 32
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#define bn_cp_32(to, n, from, m) (to)[n] = (m>=0)?((from)[m]):0;
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#define bn_32_set_0(to, n) (to)[n] = (BN_ULONG)0;
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#endif
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# if defined(_WIN32) && !defined(__GNUC__)
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# define NIST_INT64 __int64
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# else
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# define NIST_INT64 long long
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# endif
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#endif /* BN_BITS2 != 64 */
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@ -350,8 +360,7 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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int top = a->top, i;
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int carry;
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register BN_ULONG *r_d, *a_d = a->d;
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BN_ULONG t_d[BN_NIST_192_TOP],
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buf[BN_NIST_192_TOP],
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BN_ULONG buf[BN_NIST_192_TOP],
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c_d[BN_NIST_192_TOP],
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*res;
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PTR_SIZE_INT mask;
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@ -387,13 +396,46 @@ int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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nist_cp_bn_0(buf, a_d + BN_NIST_192_TOP, top - BN_NIST_192_TOP, BN_NIST_192_TOP);
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#if defined(NIST_INT64)
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{
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NIST_INT64 r;
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unsigned int *rp=(unsigned int *)r_d;
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const unsigned int *bp=(const unsigned int *)buf;
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r = rp[0]; r += bp[3*2-6];
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r += bp[5*2-6]; rp[0] = (unsigned int)r; r >>= 32;
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r += rp[1]; r += bp[3*2-5];
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r += bp[5*2-5]; rp[1] = (unsigned int)r; r >>= 32;
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r += rp[2]; r += bp[3*2-6];
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r += bp[4*2-6];
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r += bp[5*2-6]; rp[2] = (unsigned int)r; r >>= 32;
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r += rp[3]; r += bp[3*2-5];
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r += bp[4*2-5];
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r += bp[5*2-5]; rp[3] = (unsigned int)r; r >>= 32;
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r += rp[4]; r += bp[4*2-6];
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r += bp[5*2-6]; rp[4] = (unsigned int)r; r >>= 32;
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r += rp[5]; r += bp[4*2-5];
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r += bp[5*2-5]; rp[5] = (unsigned int)r;
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carry = (int)(r>>32);
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}
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#else
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{
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BN_ULONG t_d[BN_NIST_192_TOP];
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nist_set_192(t_d, buf, 0, 3, 3);
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carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
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nist_set_192(t_d, buf, 4, 4, 0);
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carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
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nist_set_192(t_d, buf, 5, 5, 5)
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carry += (int)bn_add_words(r_d, r_d, t_d, BN_NIST_192_TOP);
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}
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#endif
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if (carry > 0)
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carry = (int)bn_sub_words(r_d,r_d,_nist_p_192[carry-1],BN_NIST_192_TOP);
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else
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@ -435,8 +477,7 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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int top = a->top, i;
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int carry;
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BN_ULONG *r_d, *a_d = a->d;
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BN_ULONG t_d[BN_NIST_224_TOP],
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buf[BN_NIST_224_TOP],
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BN_ULONG buf[BN_NIST_224_TOP],
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c_d[BN_NIST_224_TOP],
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*res;
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PTR_SIZE_INT mask;
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@ -474,14 +515,54 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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#if BN_BITS2==64
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/* copy upper 256 bits of 448 bit number ... */
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nist_cp_bn_0(t_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP);
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nist_cp_bn_0(c_d, a_d + (BN_NIST_224_TOP-1), top - (BN_NIST_224_TOP-1), BN_NIST_224_TOP);
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/* ... and right shift by 32 to obtain upper 224 bits */
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nist_set_224(buf, t_d, 14, 13, 12, 11, 10, 9, 8);
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nist_set_224(buf, c_d, 14, 13, 12, 11, 10, 9, 8);
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/* truncate lower part to 224 bits too */
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r_d[BN_NIST_224_TOP-1] &= BN_MASK2l;
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#else
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nist_cp_bn_0(buf, a_d + BN_NIST_224_TOP, top - BN_NIST_224_TOP, BN_NIST_224_TOP);
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#endif
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#if defined(NIST_INT64) && BN_BITS2!=64
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{
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NIST_INT64 r;
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unsigned int *rp=(unsigned int *)r_d;
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const unsigned int *bp=(const unsigned int *)buf;
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r = rp[0]; r -= bp[7-7];
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r -= bp[11-7]; rp[0] = (unsigned int)r; r >>= 32;
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r += rp[1]; r -= bp[8-7];
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r -= bp[12-7]; rp[1] = (unsigned int)r; r >>= 32;
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r += rp[2]; r -= bp[9-7];
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r -= bp[13-7]; rp[2] = (unsigned int)r; r >>= 32;
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r += rp[3]; r += bp[7-7];
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r += bp[11-7];
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r -= bp[10-7]; rp[3] = (unsigned int)r; r >>= 32;
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r += rp[4]; r += bp[8-7];
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r += bp[12-7];
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r -= bp[11-7]; rp[4] = (unsigned int)r; r >>= 32;
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r += rp[5]; r += bp[9-7];
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r += bp[13-7];
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r -= bp[12-7]; rp[5] = (unsigned int)r; r >>= 32;
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r += rp[6]; r += bp[10-7];
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r -= bp[13-7]; rp[6] = (unsigned int)r;
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carry = (int)(r>>32);
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# if BN_BITS2==64
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rp[7] = carry;
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# endif
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}
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#else
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{
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BN_ULONG t_d[BN_NIST_224_TOP];
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nist_set_224(t_d, buf, 10, 9, 8, 7, 0, 0, 0);
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carry = (int)bn_add_words(r_d, r_d, t_d, BN_NIST_224_TOP);
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nist_set_224(t_d, buf, 0, 13, 12, 11, 0, 0, 0);
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@ -493,6 +574,8 @@ int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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#if BN_BITS2==64
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carry = (int)(r_d[BN_NIST_224_TOP-1]>>32);
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#endif
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}
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#endif
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u.f = bn_sub_words;
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if (carry > 0)
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@ -548,8 +631,7 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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int i, top = a->top;
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int carry = 0;
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register BN_ULONG *a_d = a->d, *r_d;
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BN_ULONG t_d[BN_NIST_256_TOP],
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buf[BN_NIST_256_TOP],
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BN_ULONG buf[BN_NIST_256_TOP],
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c_d[BN_NIST_256_TOP],
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*res;
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PTR_SIZE_INT mask;
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@ -586,6 +668,81 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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nist_cp_bn_0(buf, a_d + BN_NIST_256_TOP, top - BN_NIST_256_TOP, BN_NIST_256_TOP);
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#if defined(NIST_INT64)
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{
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NIST_INT64 r;
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unsigned int *rp=(unsigned int *)r_d;
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const unsigned int *bp=(const unsigned int *)buf;
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r = rp[0]; r += bp[8-8];
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r += bp[9-8];
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r -= bp[11-8];
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r -= bp[12-8];
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r -= bp[13-8];
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r -= bp[14-8]; rp[0] = (unsigned int)r; r >>= 32;
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r += rp[1]; r += bp[9-8];
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r += bp[10-8];
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r -= bp[12-8];
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r -= bp[13-8];
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r -= bp[14-8];
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r -= bp[15-8]; rp[1] = (unsigned int)r; r >>= 32;
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r += rp[2]; r += bp[10-8];
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r += bp[11-8];
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r -= bp[13-8];
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r -= bp[14-8];
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r -= bp[15-8]; rp[2] = (unsigned int)r; r >>= 32;
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r += rp[3]; r += bp[11-8];
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r += bp[11-8];
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r += bp[12-8];
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r += bp[12-8];
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r += bp[13-8];
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r -= bp[15-8];
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r -= bp[8-8];
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r -= bp[9-8]; rp[3] = (unsigned int)r; r >>= 32;
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r += rp[4]; r += bp[12-8];
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r += bp[12-8];
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r += bp[13-8];
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r += bp[13-8];
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r += bp[14-8];
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r -= bp[9-8];
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r -= bp[10-8]; rp[4] = (unsigned int)r; r >>= 32;
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r += rp[5]; r += bp[13-8];
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r += bp[13-8];
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r += bp[14-8];
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r += bp[14-8];
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r += bp[15-8];
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r -= bp[10-8];
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r -= bp[11-8]; rp[5] = (unsigned int)r; r >>= 32;
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r += rp[6]; r += bp[14-8];
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r += bp[14-8];
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r += bp[15-8];
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r += bp[15-8];
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r += bp[14-8];
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r += bp[13-8];
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r -= bp[8-8];
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r -= bp[9-8]; rp[6] = (unsigned int)r; r >>= 32;
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r += rp[7]; r += bp[15-8];
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r += bp[15-8];
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r += bp[15-8];
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r += bp[8 -8];
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r -= bp[10-8];
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r -= bp[11-8];
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r -= bp[12-8];
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r -= bp[13-8]; rp[7] = (unsigned int)r;
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carry = (int)(r>>32);
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}
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#else
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{
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BN_ULONG t_d[BN_NIST_256_TOP];
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/*S1*/
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nist_set_256(t_d, buf, 15, 14, 13, 12, 11, 0, 0, 0);
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/*S2*/
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@ -625,6 +782,8 @@ int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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nist_set_256(t_d, buf, 13, 0, 11, 10, 9, 0, 15, 14);
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carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_256_TOP);
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}
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#endif
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/* see BN_nist_mod_224 for explanation */
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u.f = bn_sub_words;
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if (carry > 0)
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@ -672,8 +831,7 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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int i, top = a->top;
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int carry = 0;
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register BN_ULONG *r_d, *a_d = a->d;
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BN_ULONG t_d[BN_NIST_384_TOP],
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buf[BN_NIST_384_TOP],
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BN_ULONG buf[BN_NIST_384_TOP],
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c_d[BN_NIST_384_TOP],
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*res;
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PTR_SIZE_INT mask;
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@ -711,6 +869,96 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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nist_cp_bn_0(buf, a_d + BN_NIST_384_TOP, top - BN_NIST_384_TOP, BN_NIST_384_TOP);
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#if defined(NIST_INT64)
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{
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NIST_INT64 r;
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unsigned int *rp=(unsigned int *)r_d;
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const unsigned int *bp=(const unsigned int *)buf;
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r = rp[0]; r += bp[12-12];
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r += bp[21-12];
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r += bp[20-12];
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r -= bp[23-12]; rp[0] = (unsigned int)r; r >>= 32;
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r += rp[1]; r += bp[13-12];
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r += bp[22-12];
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r += bp[23-12];
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r -= bp[12-12];
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r -= bp[20-12]; rp[1] = (unsigned int)r; r >>= 32;
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r += rp[2]; r += bp[14-12];
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r += bp[23-12];
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r -= bp[13-12];
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r -= bp[21-12]; rp[2] = (unsigned int)r; r >>= 32;
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r += rp[3]; r += bp[15-12];
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r += bp[12-12];
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r += bp[20-12];
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r += bp[21-12];
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r -= bp[14-12];
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r -= bp[22-12];
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r -= bp[23-12]; rp[3] = (unsigned int)r; r >>= 32;
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r += rp[4]; r += bp[21-12];
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r += bp[21-12];
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r += bp[16-12];
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r += bp[13-12];
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r += bp[12-12];
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r += bp[20-12];
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r += bp[22-12];
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r -= bp[15-12];
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r -= bp[23-12];
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r -= bp[23-12]; rp[4] = (unsigned int)r; r >>= 32;
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r += rp[5]; r += bp[22-12];
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r += bp[22-12];
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r += bp[17-12];
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r += bp[14-12];
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r += bp[13-12];
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r += bp[21-12];
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r += bp[23-12];
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r -= bp[16-12]; rp[5] = (unsigned int)r; r >>= 32;
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r += rp[6]; r += bp[23-12];
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r += bp[23-12];
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r += bp[18-12];
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r += bp[15-12];
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r += bp[14-12];
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r += bp[22-12];
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r -= bp[17-12]; rp[6] = (unsigned int)r; r >>= 32;
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r += rp[7]; r += bp[19-12];
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r += bp[16-12];
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r += bp[15-12];
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r += bp[23-12];
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r -= bp[18-12]; rp[7] = (unsigned int)r; r >>= 32;
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r += rp[8]; r += bp[20-12];
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r += bp[17-12];
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r += bp[16-12];
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r -= bp[19-12]; rp[8] = (unsigned int)r; r >>= 32;
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r += rp[9]; r += bp[21-12];
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r += bp[18-12];
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r += bp[17-12];
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r -= bp[20-12]; rp[9] = (unsigned int)r; r >>= 32;
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r += rp[10]; r += bp[22-12];
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r += bp[19-12];
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r += bp[18-12];
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r -= bp[21-12]; rp[10] = (unsigned int)r; r >>= 32;
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r += rp[11]; r += bp[23-12];
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r += bp[20-12];
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r += bp[19-12];
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r -= bp[22-12]; rp[11] = (unsigned int)r;
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carry = (int)(r>>32);
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}
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#else
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{
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BN_ULONG t_d[BN_NIST_384_TOP];
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/*S1*/
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nist_set_256(t_d, buf, 0, 0, 0, 0, 0, 23-4, 22-4, 21-4);
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/* left shift */
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@ -752,6 +1000,8 @@ int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *field,
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nist_set_384(t_d,buf,0,0,0,0,0,0,0,23,23,0,0,0);
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carry -= (int)bn_sub_words(r_d, r_d, t_d, BN_NIST_384_TOP);
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}
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#endif
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/* see BN_nist_mod_224 for explanation */
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u.f = bn_sub_words;
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if (carry > 0)
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