X-Git-Url: https://git.openssl.org/gitweb/?p=openssl.git;a=blobdiff_plain;f=crypto%2Fbn%2Fasm%2Fx86_64-gcc.c;h=d77dc433d4055516840c827b2b78721bbefb4577;hp=7d97c0bedc4a9cf451b3aa90aba98d8c250d9bd1;hb=985c3146967633707f7c165df82bb0fd8f279758;hpb=7753a3a68431aa81b82beea4c3f5374b41454679

diff --git a/crypto/bn/asm/x86_64-gcc.c b/crypto/bn/asm/x86_64-gcc.c
index 7d97c0bedc..d77dc433d4 100644
--- a/crypto/bn/asm/x86_64-gcc.c
+++ b/crypto/bn/asm/x86_64-gcc.c
@@ -1,8 +1,8 @@
 #include "../bn_lcl.h"
 #if !(defined(__GNUC__) && __GNUC__>=2)
-# include "../bn_asm.c"	/* kind of dirty hack for Sun Studio */
+# include "../bn_asm.c"         /* kind of dirty hack for Sun Studio */
 #else
-/*
+/*-
  * x86_64 BIGNUM accelerator version 0.1, December 2002.
  *
  * Implemented by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
@@ -28,582 +28,611 @@
  * Q. How much faster does it get?
  * A. 'apps/openssl speed rsa dsa' output with no-asm:
  *
- *	                  sign    verify    sign/s verify/s
- *	rsa  512 bits   0.0006s   0.0001s   1683.8  18456.2
- *	rsa 1024 bits   0.0028s   0.0002s    356.0   6407.0
- *	rsa 2048 bits   0.0172s   0.0005s     58.0   1957.8
- *	rsa 4096 bits   0.1155s   0.0018s      8.7    555.6
- *	                  sign    verify    sign/s verify/s
- *	dsa  512 bits   0.0005s   0.0006s   2100.8   1768.3
- *	dsa 1024 bits   0.0014s   0.0018s    692.3    559.2
- *	dsa 2048 bits   0.0049s   0.0061s    204.7    165.0
+ *                        sign    verify    sign/s verify/s
+ *      rsa  512 bits   0.0006s   0.0001s   1683.8  18456.2
+ *      rsa 1024 bits   0.0028s   0.0002s    356.0   6407.0
+ *      rsa 2048 bits   0.0172s   0.0005s     58.0   1957.8
+ *      rsa 4096 bits   0.1155s   0.0018s      8.7    555.6
+ *                        sign    verify    sign/s verify/s
+ *      dsa  512 bits   0.0005s   0.0006s   2100.8   1768.3
+ *      dsa 1024 bits   0.0014s   0.0018s    692.3    559.2
+ *      dsa 2048 bits   0.0049s   0.0061s    204.7    165.0
  *
  *    'apps/openssl speed rsa dsa' output with this module:
  *
- *	                  sign    verify    sign/s verify/s
- *	rsa  512 bits   0.0004s   0.0000s   2767.1  33297.9
- *	rsa 1024 bits   0.0012s   0.0001s    867.4  14674.7
- *	rsa 2048 bits   0.0061s   0.0002s    164.0   5270.0
- *	rsa 4096 bits   0.0384s   0.0006s     26.1   1650.8
- *	                  sign    verify    sign/s verify/s
- *	dsa  512 bits   0.0002s   0.0003s   4442.2   3786.3
- *	dsa 1024 bits   0.0005s   0.0007s   1835.1   1497.4
- *	dsa 2048 bits   0.0016s   0.0020s    620.4    504.6
+ *                        sign    verify    sign/s verify/s
+ *      rsa  512 bits   0.0004s   0.0000s   2767.1  33297.9
+ *      rsa 1024 bits   0.0012s   0.0001s    867.4  14674.7
+ *      rsa 2048 bits   0.0061s   0.0002s    164.0   5270.0
+ *      rsa 4096 bits   0.0384s   0.0006s     26.1   1650.8
+ *                        sign    verify    sign/s verify/s
+ *      dsa  512 bits   0.0002s   0.0003s   4442.2   3786.3
+ *      dsa 1024 bits   0.0005s   0.0007s   1835.1   1497.4
+ *      dsa 2048 bits   0.0016s   0.0020s    620.4    504.6
  *
  *    For the reference. IA-32 assembler implementation performs
  *    very much like 64-bit code compiled with no-asm on the same
  *    machine.
  */
 
-#if defined(_WIN64) || !defined(__LP64__)
-#define BN_ULONG unsigned long long
-#else
-#define BN_ULONG unsigned long
-#endif
+# if defined(_WIN64) || !defined(__LP64__)
+#  define BN_ULONG unsigned long long
+# else
+#  define BN_ULONG unsigned long
+# endif
 
-#undef mul
-#undef mul_add
+# undef mul
+# undef mul_add
 
-/*
- * "m"(a), "+m"(r)	is the way to favor DirectPath µ-code;
- * "g"(0)		let the compiler to decide where does it
- *			want to keep the value of zero;
+/*-
+ * "m"(a), "+m"(r)      is the way to favor DirectPath µ-code;
+ * "g"(0)               let the compiler to decide where does it
+ *                      want to keep the value of zero;
  */
-#define mul_add(r,a,word,carry) do {	\
-	register BN_ULONG high,low;	\
-	asm ("mulq %3"			\
-		: "=a"(low),"=d"(high)	\
-		: "a"(word),"m"(a)	\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+r"(carry),"+d"(high)\
-		: "a"(low),"g"(0)	\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+m"(r),"+d"(high)	\
-		: "r"(carry),"g"(0)	\
-		: "cc");		\
-	carry=high;			\
-	} while (0)
-
-#define mul(r,a,word,carry) do {	\
-	register BN_ULONG high,low;	\
-	asm ("mulq %3"			\
-		: "=a"(low),"=d"(high)	\
-		: "a"(word),"g"(a)	\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+r"(carry),"+d"(high)\
-		: "a"(low),"g"(0)	\
-		: "cc");		\
-	(r)=carry, carry=high;		\
-	} while (0)
-#undef sqr
-#define sqr(r0,r1,a)			\
-	asm ("mulq %2"			\
-		: "=a"(r0),"=d"(r1)	\
-		: "a"(a)		\
-		: "cc");
-
-BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
-	{
-	BN_ULONG c1=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);
-	} 
+# define mul_add(r,a,word,carry) do {   \
+        register BN_ULONG high,low;     \
+        asm ("mulq %3"                  \
+                : "=a"(low),"=d"(high)  \
+                : "a"(word),"m"(a)      \
+                : "cc");                \
+        asm ("addq %2,%0; adcq %3,%1"   \
+                : "+r"(carry),"+d"(high)\
+                : "a"(low),"g"(0)       \
+                : "cc");                \
+        asm ("addq %2,%0; adcq %3,%1"   \
+                : "+m"(r),"+d"(high)    \
+                : "r"(carry),"g"(0)     \
+                : "cc");                \
+        carry=high;                     \
+        } while (0)
+
+# define mul(r,a,word,carry) do {       \
+        register BN_ULONG high,low;     \
+        asm ("mulq %3"                  \
+                : "=a"(low),"=d"(high)  \
+                : "a"(word),"g"(a)      \
+                : "cc");                \
+        asm ("addq %2,%0; adcq %3,%1"   \
+                : "+r"(carry),"+d"(high)\
+                : "a"(low),"g"(0)       \
+                : "cc");                \
+        (r)=carry, carry=high;          \
+        } while (0)
+# undef sqr
+# define sqr(r0,r1,a)                   \
+        asm ("mulq %2"                  \
+                : "=a"(r0),"=d"(r1)     \
+                : "a"(a)                \
+                : "cc");
+
+BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
+                          BN_ULONG w)
+{
+    BN_ULONG c1 = 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;
-
-	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);
-	} 
+{
+    BN_ULONG c1 = 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)
-        {
-	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]);
-		}
-	}
+{
+    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]);
+    }
+}
 
 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
-{	BN_ULONG ret,waste;
+{
+    BN_ULONG ret, waste;
 
-	asm ("divq	%4"
-		: "=a"(ret),"=d"(waste)
-		: "a"(l),"d"(h),"g"(d)
-		: "cc");
+ asm("divq      %4":"=a"(ret), "=d"(waste)
+ :     "a"(l), "d"(h), "g"(d)
+ :     "cc");
 
-	return ret;
+    return ret;
 }
 
-BN_ULONG bn_add_words (BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int n)
-{ BN_ULONG ret;
-  size_t i=0;
-
-	if (n <= 0) return 0;
-
-	asm volatile (
-	"	subq	%0,%0		\n"	/* clear carry */
-	"	jmp	1f		\n"
-	".p2align 4			\n"
-	"1:	movq	(%4,%2,8),%0	\n"
-	"	adcq	(%5,%2,8),%0	\n"
-	"	movq	%0,(%3,%2,8)	\n"
-	"	lea	1(%2),%2	\n"
-	"	loop	1b		\n"
-	"	sbbq	%0,%0		\n"
-		: "=&r"(ret),"+c"(n),"+r"(i)
-		: "r"(rp),"r"(ap),"r"(bp)
-		: "cc", "memory"
-	);
-
-  return ret&1;
+BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+                      int n)
+{
+    BN_ULONG ret;
+    size_t i = 0;
+
+    if (n <= 0)
+        return 0;
+
+    asm volatile ("       subq    %0,%0           \n" /* clear carry */
+                  "       jmp     1f              \n"
+                  ".p2align 4                     \n"
+                  "1:     movq    (%4,%2,8),%0    \n"
+                  "       adcq    (%5,%2,8),%0    \n"
+                  "       movq    %0,(%3,%2,8)    \n"
+                  "       lea     1(%2),%2        \n"
+                  "       loop    1b              \n"
+                  "       sbbq    %0,%0           \n":"=&r" (ret), "+c"(n),
+                  "+r"(i)
+                  :"r"(rp), "r"(ap), "r"(bp)
+                  :"cc", "memory");
+
+    return ret & 1;
 }
 
-#ifndef SIMICS
-BN_ULONG bn_sub_words (BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int n)
-{ BN_ULONG ret;
-  size_t i=0;
-
-	if (n <= 0) return 0;
-
-	asm volatile (
-	"	subq	%0,%0		\n"	/* clear borrow */
-	"	jmp	1f		\n"
-	".p2align 4			\n"
-	"1:	movq	(%4,%2,8),%0	\n"
-	"	sbbq	(%5,%2,8),%0	\n"
-	"	movq	%0,(%3,%2,8)	\n"
-	"	lea	1(%2),%2	\n"
-	"	loop	1b		\n"
-	"	sbbq	%0,%0		\n"
-		: "=&r"(ret),"+c"(n),"+r"(i)
-		: "r"(rp),"r"(ap),"r"(bp)
-		: "cc", "memory"
-	);
-
-  return ret&1;
+# ifndef SIMICS
+BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
+                      int n)
+{
+    BN_ULONG ret;
+    size_t i = 0;
+
+    if (n <= 0)
+        return 0;
+
+    asm volatile ("       subq    %0,%0           \n" /* clear borrow */
+                  "       jmp     1f              \n"
+                  ".p2align 4                     \n"
+                  "1:     movq    (%4,%2,8),%0    \n"
+                  "       sbbq    (%5,%2,8),%0    \n"
+                  "       movq    %0,(%3,%2,8)    \n"
+                  "       lea     1(%2),%2        \n"
+                  "       loop    1b              \n"
+                  "       sbbq    %0,%0           \n":"=&r" (ret), "+c"(n),
+                  "+r"(i)
+                  :"r"(rp), "r"(ap), "r"(bp)
+                  :"cc", "memory");
+
+    return ret & 1;
 }
-#else
+# else
 /* Simics 1.4<7 has buggy sbbq:-( */
-#define BN_MASK2 0xffffffffffffffffL
+#  define BN_MASK2 0xffffffffffffffffL
 BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
-        {
-	BN_ULONG t1,t2;
-	int c=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);
-	}
-#endif
+{
+    BN_ULONG t1, t2;
+    int c = 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);
+}
+# endif
 
 /* 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) */
+/*
+ * sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number
+ * c=(c2,c1,c0)
+ */
 
-#if 0
+/*
+ * Keep in mind that carrying into high part of multiplication result
+ * can not overflow, because it cannot be all-ones.
+ */
+# if 0
 /* original macros are kept for reference purposes */
-#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;	\
-	}
-#else
-#define mul_add_c(a,b,c0,c1,c2)	do {	\
-	asm ("mulq %3"			\
-		: "=a"(t1),"=d"(t2)	\
-		: "a"(a),"m"(b)		\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+r"(c0),"+d"(t2)	\
-		: "a"(t1),"g"(0)	\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+r"(c1),"+r"(c2)	\
-		: "d"(t2),"g"(0)	\
-		: "cc");		\
-	} while (0)
-
-#define sqr_add_c(a,i,c0,c1,c2)	do {	\
-	asm ("mulq %2"			\
-		: "=a"(t1),"=d"(t2)	\
-		: "a"(a[i])		\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+r"(c0),"+d"(t2)	\
-		: "a"(t1),"g"(0)	\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+r"(c1),"+r"(c2)	\
-		: "d"(t2),"g"(0)	\
-		: "cc");		\
-	} while (0)
-
-#define mul_add_c2(a,b,c0,c1,c2) do {	\
-	asm ("mulq %3"			\
-		: "=a"(t1),"=d"(t2)	\
-		: "a"(a),"m"(b)		\
-		: "cc");		\
-	asm ("addq %0,%0; adcq %2,%1"	\
-		: "+d"(t2),"+r"(c2)	\
-		: "g"(0)		\
-		: "cc");		\
-	asm ("addq %0,%0; adcq %2,%1"	\
-		: "+a"(t1),"+d"(t2)	\
-		: "g"(0)		\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+r"(c0),"+d"(t2)	\
-		: "a"(t1),"g"(0)	\
-		: "cc");		\
-	asm ("addq %2,%0; adcq %3,%1"	\
-		: "+r"(c1),"+r"(c2)	\
-		: "d"(t2),"g"(0)	\
-		: "cc");		\
-	} while (0)
-#endif
-
-#define sqr_add_c2(a,i,j,c0,c1,c2)	\
-	mul_add_c2((a)[i],(a)[j],c0,c1,c2)
+#  define mul_add_c(a,b,c0,c1,c2)       do {    \
+        BN_ULONG ta = (a), tb = (b);            \
+        BN_ULONG lo, hi;                        \
+        BN_UMULT_LOHI(lo,hi,ta,tb);             \
+        c0 += lo; hi += (c0<lo)?1:0;            \
+        c1 += hi; c2 += (c1<hi)?1:0;            \
+        } while(0)
+
+#  define mul_add_c2(a,b,c0,c1,c2)      do {    \
+        BN_ULONG ta = (a), tb = (b);            \
+        BN_ULONG lo, hi, tt;                    \
+        BN_UMULT_LOHI(lo,hi,ta,tb);             \
+        c0 += lo; tt = hi+((c0<lo)?1:0);        \
+        c1 += tt; c2 += (c1<tt)?1:0;            \
+        c0 += lo; hi += (c0<lo)?1:0;            \
+        c1 += hi; c2 += (c1<hi)?1:0;            \
+        } while(0)
+
+#  define sqr_add_c(a,i,c0,c1,c2)       do {    \
+        BN_ULONG ta = (a)[i];                   \
+        BN_ULONG lo, hi;                        \
+        BN_UMULT_LOHI(lo,hi,ta,ta);             \
+        c0 += lo; hi += (c0<lo)?1:0;            \
+        c1 += hi; c2 += (c1<hi)?1:0;            \
+        } while(0)
+# else
+#  define mul_add_c(a,b,c0,c1,c2) do {  \
+        BN_ULONG t1,t2;                 \
+        asm ("mulq %3"                  \
+                : "=a"(t1),"=d"(t2)     \
+                : "a"(a),"m"(b)         \
+                : "cc");                \
+        asm ("addq %3,%0; adcq %4,%1; adcq %5,%2"       \
+                : "+r"(c0),"+r"(c1),"+r"(c2)            \
+                : "r"(t1),"r"(t2),"g"(0)                \
+                : "cc");                                \
+        } while (0)
+
+#  define sqr_add_c(a,i,c0,c1,c2) do {  \
+        BN_ULONG t1,t2;                 \
+        asm ("mulq %2"                  \
+                : "=a"(t1),"=d"(t2)     \
+                : "a"(a[i])             \
+                : "cc");                \
+        asm ("addq %3,%0; adcq %4,%1; adcq %5,%2"       \
+                : "+r"(c0),"+r"(c1),"+r"(c2)            \
+                : "r"(t1),"r"(t2),"g"(0)                \
+                : "cc");                                \
+        } while (0)
+
+#  define mul_add_c2(a,b,c0,c1,c2) do { \
+        BN_ULONG t1,t2;                 \
+        asm ("mulq %3"                  \
+                : "=a"(t1),"=d"(t2)     \
+                : "a"(a),"m"(b)         \
+                : "cc");                \
+        asm ("addq %3,%0; adcq %4,%1; adcq %5,%2"       \
+                : "+r"(c0),"+r"(c1),"+r"(c2)            \
+                : "r"(t1),"r"(t2),"g"(0)                \
+                : "cc");                                \
+        asm ("addq %3,%0; adcq %4,%1; adcq %5,%2"       \
+                : "+r"(c0),"+r"(c1),"+r"(c2)            \
+                : "r"(t1),"r"(t2),"g"(0)                \
+                : "cc");                                \
+        } while (0)
+# endif
+
+# define sqr_add_c2(a,i,j,c0,c1,c2)      \
+        mul_add_c2((a)[i],(a)[j],c0,c1,c2)
 
 void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
-	{
-	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;
-	}
+{
+    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)
-	{
-	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;
-	}
+{
+    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, const BN_ULONG *a)
-	{
-	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;
-	}
+{
+    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, const BN_ULONG *a)
-	{
-	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;
-	}
+{
+    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;
+}
 #endif