Run util/openssl-format-source on the Curve448 code
authorMatt Caswell <matt@openssl.org>
Mon, 4 Dec 2017 11:38:58 +0000 (11:38 +0000)
committerMatt Caswell <matt@openssl.org>
Tue, 20 Feb 2018 12:59:30 +0000 (12:59 +0000)
Reviewed-by: Bernd Edlinger <bernd.edlinger@hotmail.de>
(Merged from https://github.com/openssl/openssl/pull/5105)

29 files changed:
crypto/ec/curve448/arch_32/arch_intrinsics.h
crypto/ec/curve448/arch_32/f_impl.c
crypto/ec/curve448/arch_32/f_impl.h
crypto/ec/curve448/arch_arm_32/arch_intrinsics.h
crypto/ec/curve448/arch_arm_32/f_impl.c
crypto/ec/curve448/arch_arm_32/f_impl.h
crypto/ec/curve448/arch_neon/arch_intrinsics.h
crypto/ec/curve448/arch_neon/f_impl.c
crypto/ec/curve448/arch_neon/f_impl.h
crypto/ec/curve448/arch_ref64/arch_intrinsics.h
crypto/ec/curve448/arch_ref64/f_impl.c
crypto/ec/curve448/arch_ref64/f_impl.h
crypto/ec/curve448/arch_x86_64/arch_intrinsics.h
crypto/ec/curve448/arch_x86_64/f_impl.c
crypto/ec/curve448/arch_x86_64/f_impl.h
crypto/ec/curve448/constant_time.h
crypto/ec/curve448/curve448.c
crypto/ec/curve448/curve448_tables.c
crypto/ec/curve448/curve448_test.c
crypto/ec/curve448/curve448utils.h
crypto/ec/curve448/ed448.h
crypto/ec/curve448/eddsa.c
crypto/ec/curve448/f_arithmetic.c
crypto/ec/curve448/f_field.h
crypto/ec/curve448/f_generic.c
crypto/ec/curve448/field.h
crypto/ec/curve448/point_448.h
crypto/ec/curve448/scalar.c
crypto/ec/curve448/word.h

index 4e6aac2889e9347e688726be47f9f1eb26b059f7..33439822fea3111fcadea74703f5377c152488d1 100644 (file)
  */
 
 #ifndef __ARCH_ARCH_32_ARCH_INTRINSICS_H__
-#define __ARCH_ARCH_32_ARCH_INTRINSICS_H__
+# define __ARCH_ARCH_32_ARCH_INTRINSICS_H__
 
-#define ARCH_WORD_BITS 32
+# define ARCH_WORD_BITS 32
 
-static __inline__ __attribute((always_inline,unused))
-uint32_t word_is_zero(uint32_t a) {
+static __inline__ __attribute((always_inline, unused))
+uint32_t word_is_zero(uint32_t a)
+{
     /* let's hope the compiler isn't clever enough to optimize this. */
-    return (((uint64_t)a)-1)>>32;
+    return (((uint64_t)a) - 1) >> 32;
 }
 
-static __inline__ __attribute((always_inline,unused))
-uint64_t widemul(uint32_t a, uint32_t b) {
+static __inline__ __attribute((always_inline, unused))
+uint64_t widemul(uint32_t a, uint32_t b)
+{
     return ((uint64_t)a) * b;
 }
 
-#endif /* __ARCH_ARM_32_ARCH_INTRINSICS_H__ */
-
+#endif                          /* __ARCH_ARM_32_ARCH_INTRINSICS_H__ */
index ca67d496df3d5a6ed02dc4b3f5c60fff11282da4..76ec9711f0811fda12f46a4f94b0c5207548c653 100644 (file)
 
 #if (defined(__OPTIMIZE__) && !defined(__OPTIMIZE_SIZE__) && !I_HATE_UNROLLED_LOOPS) \
      || defined(DECAF_FORCE_UNROLL)
-#define REPEAT8(_x) _x _x _x _x _x _x _x _x
-#define FOR_LIMB(_i,_start,_end,_x) do { _i=_start; REPEAT8( if (_i<_end) { _x; } _i++;) } while (0)
+# define REPEAT8(_x) _x _x _x _x _x _x _x _x
+# define FOR_LIMB(_i,_start,_end,_x) do { _i=_start; REPEAT8( if (_i<_end) { _x; } _i++;) } while (0)
 #else
-#define FOR_LIMB(_i,_start,_end,_x) do { for (_i=_start; _i<_end; _i++) _x; } while (0)
+# define FOR_LIMB(_i,_start,_end,_x) do { for (_i=_start; _i<_end; _i++) _x; } while (0)
 #endif
 
-void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) { 
+void gf_mul(gf_s * __restrict__ cs, const gf as, const gf bs)
+{
     const uint32_t *a = as->limb, *b = bs->limb;
     uint32_t *c = cs->limb;
 
     uint64_t accum0 = 0, accum1 = 0, accum2 = 0;
-    uint32_t mask = (1<<28) - 1;  
+    uint32_t mask = (1 << 28) - 1;
 
     uint32_t aa[8], bb[8];
-    
-    int i,j;
-    for (i=0; i<8; i++) {
-        aa[i] = a[i] + a[i+8];
-        bb[i] = b[i] + b[i+8];
-    }
-    
-    FOR_LIMB(j,0,8,{
-        accum2 = 0;
-    
-        FOR_LIMB (i,0,j+1,{
-            accum2 += widemul(a[j-i],b[i]);
-            accum1 += widemul(aa[j-i],bb[i]);
-            accum0 += widemul(a[8+j-i], b[8+i]);
-        });
-        
-        accum1 -= accum2;
-        accum0 += accum2;
-        accum2 = 0;
-    
-        FOR_LIMB (i,j+1,8,{
-            accum0 -= widemul(a[8+j-i], b[i]);
-            accum2 += widemul(aa[8+j-i], bb[i]);
-            accum1 += widemul(a[16+j-i], b[8+i]);
-        });
 
-        accum1 += accum2;
-        accum0 += accum2;
+    int i, j;
+    for (i = 0; i < 8; i++) {
+        aa[i] = a[i] + a[i + 8];
+        bb[i] = b[i] + b[i + 8];
+    }
 
-        c[j] = ((uint32_t)(accum0)) & mask;
-        c[j+8] = ((uint32_t)(accum1)) & mask;
+    FOR_LIMB(j, 0, 8, {
+             accum2 = 0;
+             FOR_LIMB(i, 0, j + 1, {
+                      accum2 += widemul(a[j - i], b[i]);
+                      accum1 += widemul(aa[j - i], bb[i]);
+                      accum0 += widemul(a[8 + j - i], b[8 + i]);
+                      }
+             ); accum1 -= accum2; accum0 += accum2;
+             accum2 = 0;
+             FOR_LIMB(i, j + 1, 8, {
+                      accum0 -=
+                      widemul(a[8 + j - i], b[i]);
+                      accum2 +=
+                      widemul(aa[8 + j - i],
+                              bb[i]);
+                      accum1 += widemul(a[16 + j - i], b[8 + i]);
+                      }
+             );
+             accum1 += accum2;
+             accum0 += accum2;
+             c[j] = ((uint32_t)(accum0)) & mask;
+             c[j + 8] = ((uint32_t)(accum1)) & mask;
+             accum0 >>= 28; accum1 >>= 28;
+             });
 
-        accum0 >>= 28;
-        accum1 >>= 28;
-    });
-    
     accum0 += accum1;
     accum0 += c[8];
     accum1 += c[0];
     c[8] = ((uint32_t)(accum0)) & mask;
     c[0] = ((uint32_t)(accum1)) & mask;
-    
+
     accum0 >>= 28;
     accum1 >>= 28;
     c[9] += ((uint32_t)(accum0));
     c[1] += ((uint32_t)(accum1));
 }
 
-void gf_mulw_unsigned (gf_s *__restrict__ cs, const gf as, uint32_t b) {
+void gf_mulw_unsigned(gf_s * __restrict__ cs, const gf as, uint32_t b)
+{
     const uint32_t *a = as->limb;
     uint32_t *c = cs->limb;
     uint64_t accum0 = 0, accum8 = 0;
-    uint32_t mask = (1<<28)-1;  
+    uint32_t mask = (1 << 28) - 1;
     int i;
 
-    assert(b<1<<28);
+    assert(b < 1 << 28);
 
-    FOR_LIMB(i,0,8,{
-        accum0 += widemul(b, a[i]);
-        accum8 += widemul(b, a[i+8]);
-
-        c[i] = accum0 & mask; accum0 >>= 28;
-        c[i+8] = accum8 & mask; accum8 >>= 28;
-    });
+    FOR_LIMB(i, 0, 8, {
+             accum0 += widemul(b, a[i]); accum8 += widemul(b, a[i + 8]);
+             c[i] = accum0 & mask; accum0 >>= 28;
+             c[i + 8] = accum8 & mask; accum8 >>= 28;
+             });
 
     accum0 += accum8 + c[8];
     c[8] = accum0 & mask;
@@ -102,7 +98,7 @@ void gf_mulw_unsigned (gf_s *__restrict__ cs, const gf as, uint32_t b) {
     c[1] += accum8 >> 28;
 }
 
-void gf_sqr (gf_s *__restrict__ cs, const gf as) {
-    gf_mul(cs,as,as); /* Performs better with a dedicated square */
+void gf_sqr(gf_s * __restrict__ cs, const gf as)
+{
+    gf_mul(cs, as, as);         /* Performs better with a dedicated square */
 }
-
index 427e03de3faf027e124c6ac83078adaaad0a3019..25bfa1f79ef2a37d52f787f1c819f0e66129a4c8 100644 (file)
 #define LIMB(x) (x)&((1<<28)-1), (x)>>28
 #define FIELD_LITERAL(a,b,c,d,e,f,g,h) \
     {{LIMB(a),LIMB(b),LIMB(c),LIMB(d),LIMB(e),LIMB(f),LIMB(g),LIMB(h)}}
-    
+
 #define LIMB_PLACE_VALUE(i) 28
 
-void gf_add_RAW (gf out, const gf a, const gf b) {
+void gf_add_RAW(gf out, const gf a, const gf b)
+{
     unsigned int i;
 
-    for (i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
+    for (i = 0; i < sizeof(*out) / sizeof(out->limb[0]); i++) {
         out->limb[i] = a->limb[i] + b->limb[i];
     }
 }
 
-void gf_sub_RAW (gf out, const gf a, const gf b) {
+void gf_sub_RAW(gf out, const gf a, const gf b)
+{
     unsigned int i;
 
-    for (i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
+    for (i = 0; i < sizeof(*out) / sizeof(out->limb[0]); i++) {
         out->limb[i] = a->limb[i] - b->limb[i];
     }
 }
 
-void gf_bias (gf a, int amt) {
+void gf_bias(gf a, int amt)
+{
     unsigned int i;
-    uint32_t co1 = ((1<<28)-1)*amt, co2 = co1-amt;
+    uint32_t co1 = ((1 << 28) - 1) * amt, co2 = co1 - amt;
 
-    for (i=0; i<sizeof(*a)/sizeof(a->limb[0]); i++) {
-        a->limb[i] += (i==sizeof(*a)/sizeof(a->limb[0])/2) ? co2 : co1;
+    for (i = 0; i < sizeof(*a) / sizeof(a->limb[0]); i++) {
+        a->limb[i] += (i == sizeof(*a) / sizeof(a->limb[0]) / 2) ? co2 : co1;
     }
 }
 
-void gf_weak_reduce (gf a) {
-    uint32_t mask = (1<<28) - 1;
+void gf_weak_reduce(gf a)
+{
+    uint32_t mask = (1 << 28) - 1;
     uint32_t tmp = a->limb[15] >> 28;
     unsigned int i;
 
     a->limb[8] += tmp;
-    for (i=15; i>0; i--) {
-        a->limb[i] = (a->limb[i] & mask) + (a->limb[i-1]>>28);
+    for (i = 15; i > 0; i--) {
+        a->limb[i] = (a->limb[i] & mask) + (a->limb[i - 1] >> 28);
     }
     a->limb[0] = (a->limb[0] & mask) + tmp;
 }
-
index 9c3d481db655081030de21b27296132060f7f5e1..73b82755c3ddc7f21acf696e893aae0abd517cf6 100644 (file)
  */
 
 #ifndef __ARCH_ARM_32_ARCH_INTRINSICS_H__
-#define __ARCH_ARM_32_ARCH_INTRINSICS_H__
+# define __ARCH_ARM_32_ARCH_INTRINSICS_H__
 
-#define ARCH_WORD_BITS 32
+# define ARCH_WORD_BITS 32
 
-static __inline__ __attribute((always_inline,unused))
-uint32_t word_is_zero(uint32_t a) {
+static __inline__ __attribute((always_inline, unused))
+uint32_t word_is_zero(uint32_t a)
+{
     uint32_t ret;
   asm("subs %0, %1, #1;\n\tsbc %0, %0, %0" : "=r"(ret) : "r"(a) : "cc");
asm("subs %0, %1, #1;\n\tsbc %0, %0, %0": "=r"(ret): "r"(a):"cc");
     return ret;
 }
 
-static __inline__ __attribute((always_inline,unused))
-uint64_t widemul(uint32_t a, uint32_t b) {
-    /* Could be UMULL, but it's hard to express to CC that the registers must be different */
-    return ((uint64_t)a) * b; 
+static __inline__ __attribute((always_inline, unused))
+uint64_t widemul(uint32_t a, uint32_t b)
+{
+    /*
+     * Could be UMULL, but it's hard to express to CC that the registers must
+     * be different
+     */
+    return ((uint64_t)a) * b;
 }
 
-#endif /* __ARCH_ARM_32_ARCH_INTRINSICS_H__ */
-
+#endif                          /* __ARCH_ARM_32_ARCH_INTRINSICS_H__ */
index b43e24db755e4b159e21d84689b175ddee4ce764..25e970389bea54bdbba66fc7ea97376ae2873028 100644 (file)
 
 #include "f_field.h"
 
-static inline void __attribute__((gnu_inline,always_inline))
-smlal (
-    uint64_t *acc,
-    const uint32_t a,
-    const uint32_t b
-) {
+static inline void __attribute__ ((gnu_inline, always_inline))
+    smlal(uint64_t *acc, const uint32_t a, const uint32_t b)
+{
 
 #ifdef  __ARMEL__
-    uint32_t lo = *acc, hi = (*acc)>>32;
-    
-    __asm__ __volatile__ ("smlal %[lo], %[hi], %[a], %[b]"
-        : [lo]"+&r"(lo), [hi]"+&r"(hi)
-        : [a]"r"(a), [b]"r"(b));
-    
-    *acc = lo + (((uint64_t)hi)<<32);
+    uint32_t lo = *acc, hi = (*acc) >> 32;
+
+    __asm__ __volatile__("smlal %[lo], %[hi], %[a], %[b]":[lo] "+&r"(lo),
+                         [hi] "+&r"(hi)
+                         :[a] "r"(a),[b] "r"(b));
+
+    *acc = lo + (((uint64_t)hi) << 32);
 #else
-    *acc += (int64_t)(int32_t)a * (int64_t)(int32_t)b;
+    *acc += (int64_t)(int32_t)a *(int64_t)(int32_t)b;
 #endif
 }
 
-static inline void __attribute__((gnu_inline,always_inline))
-smlal2 (
-    uint64_t *acc,
-    const uint32_t a,
-    const uint32_t b
-) {
+static inline void __attribute__ ((gnu_inline, always_inline))
+    smlal2(uint64_t *acc, const uint32_t a, const uint32_t b)
+{
 #ifdef __ARMEL__
-    uint32_t lo = *acc, hi = (*acc)>>32;
-    
-    __asm__ __volatile__ ("smlal %[lo], %[hi], %[a], %[b]"
-        : [lo]"+&r"(lo), [hi]"+&r"(hi)
-        : [a]"r"(a), [b]"r"(2*b));
-    
-    *acc = lo + (((uint64_t)hi)<<32);
+    uint32_t lo = *acc, hi = (*acc) >> 32;
+
+    __asm__ __volatile__("smlal %[lo], %[hi], %[a], %[b]":[lo] "+&r"(lo),
+                         [hi] "+&r"(hi)
+                         :[a] "r"(a),[b] "r"(2 * b));
+
+    *acc = lo + (((uint64_t)hi) << 32);
 #else
-    *acc += (int64_t)(int32_t)a * (int64_t)(int32_t)(b * 2);
+    *acc += (int64_t)(int32_t)a *(int64_t)(int32_t)(b * 2);
 #endif
 }
 
-static inline void __attribute__((gnu_inline,always_inline))
-smull (
-    uint64_t *acc,
-    const uint32_t a,
-    const uint32_t b
-) {
+static inline void __attribute__ ((gnu_inline, always_inline))
+    smull(uint64_t *acc, const uint32_t a, const uint32_t b)
+{
 #ifdef __ARMEL__
     uint32_t lo, hi;
-    
-    __asm__ __volatile__ ("smull %[lo], %[hi], %[a], %[b]"
-        : [lo]"=&r"(lo), [hi]"=&r"(hi)
-        : [a]"r"(a), [b]"r"(b));
-    
-    *acc = lo + (((uint64_t)hi)<<32);
+
+    __asm__ __volatile__("smull %[lo], %[hi], %[a], %[b]":[lo] "=&r"(lo),
+                         [hi] "=&r"(hi)
+                         :[a] "r"(a),[b] "r"(b));
+
+    *acc = lo + (((uint64_t)hi) << 32);
 #else
-    *acc = (int64_t)(int32_t)a * (int64_t)(int32_t)b;
+    *acc = (int64_t)(int32_t)a *(int64_t)(int32_t)b;
 #endif
 }
 
-static inline void __attribute__((gnu_inline,always_inline))
-smull2 (
-    uint64_t *acc,
-    const uint32_t a,
-    const uint32_t b
-) {
+static inline void __attribute__ ((gnu_inline, always_inline))
+    smull2(uint64_t *acc, const uint32_t a, const uint32_t b)
+{
 #ifdef __ARMEL__
     uint32_t lo, hi;
-    
+
     __asm__ /*__volatile__*/ ("smull %[lo], %[hi], %[a], %[b]"
       : [lo]"=&r"(lo), [hi]"=&r"(hi)
       : [a]"r"(a), [b]"r"(2*b));
-    
-    *acc = lo + (((uint64_t)hi)<<32);
:                           [lo] "=&r"(lo),[hi] "=&r"(hi)
:                           [a] "r"(a),[b] "r"(2 * b));
+
+    *acc = lo + (((uint64_t)hi) << 32);
 #else
-    *acc = (int64_t)(int32_t)a * (int64_t)(int32_t)(b * 2);
+    *acc = (int64_t)(int32_t)a *(int64_t)(int32_t)(b * 2);
 #endif
 }
 
-void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
-    
+void gf_mul(gf_s * __restrict__ cs, const gf as, const gf bs)
+{
+
     const uint32_t *a = as->limb, *b = bs->limb;
     uint32_t *c = cs->limb;
 
     uint64_t accum0 = 0, accum1 = 0, accum2, accum3, accumC0, accumC1;
-    uint32_t mask = (1<<28) - 1;  
+    uint32_t mask = (1 << 28) - 1;
 
     uint32_t aa[8], bm[8];
 
     int i;
-    for (i=0; i<8; i++) {
-        aa[i] = a[i] + a[i+8];
-        bm[i] = b[i] - b[i+8];
+    for (i = 0; i < 8; i++) {
+        aa[i] = a[i] + a[i + 8];
+        bm[i] = b[i] - b[i + 8];
     }
 
-    uint32_t ax,bx;
+    uint32_t ax, bx;
     {
         /* t^3 terms */
         smull(&accum1, ax = aa[1], bx = b[15]);
@@ -121,15 +110,15 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum1, ax, bx = b[10]);
         smlal(&accum3, ax = aa[7], bx);
         smlal(&accum1, ax, bx = b[9]);
-        
+
         accum0 = accum1;
         accum2 = accum3;
-        
+
         /* t^2 terms */
         smlal(&accum2, ax = aa[0], bx);
         smlal(&accum0, ax, bx = b[8]);
         smlal(&accum2, ax = aa[1], bx);
-        
+
         smlal(&accum0, ax = a[9], bx = b[7]);
         smlal(&accum2, ax = a[10], bx);
         smlal(&accum0, ax, bx = b[6]);
@@ -143,14 +132,14 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum0, ax, bx = b[2]);
         smlal(&accum2, ax = a[15], bx);
         smlal(&accum0, ax, bx = b[1]);
-        
+
         /* t terms */
         accum1 += accum0;
         accum3 += accum2;
         smlal(&accum3, ax = a[8], bx);
         smlal(&accum1, ax, bx = b[0]);
         smlal(&accum3, ax = a[9], bx);
-        
+
         smlal(&accum1, ax = a[1], bx = bm[7]);
         smlal(&accum3, ax = a[2], bx);
         smlal(&accum1, ax, bx = bm[6]);
@@ -164,20 +153,20 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum1, ax, bx = bm[2]);
         smlal(&accum3, ax = a[7], bx);
         smlal(&accum1, ax, bx = bm[1]);
-        
+
         /* 1 terms */
         smlal(&accum2, ax = a[0], bx);
         smlal(&accum0, ax, bx = bm[0]);
         smlal(&accum2, ax = a[1], bx);
-        
+
         accum2 += accum0 >> 28;
         accum3 += accum1 >> 28;
-        
+
         c[0] = ((uint32_t)(accum0)) & mask;
         c[1] = ((uint32_t)(accum2)) & mask;
         c[8] = ((uint32_t)(accum1)) & mask;
         c[9] = ((uint32_t)(accum3)) & mask;
-        
+
         accumC0 = accum2 >> 28;
         accumC1 = accum3 >> 28;
     }
@@ -192,10 +181,10 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum1, ax, bx = b[12]);
         smlal(&accum3, ax = aa[7], bx);
         smlal(&accum1, ax, bx = b[11]);
-        
+
         accum0 = accum1;
         accum2 = accum3;
-        
+
         /* t^2 terms */
         smlal(&accum2, ax = aa[0], bx);
         smlal(&accum0, ax, bx = b[10]);
@@ -204,7 +193,7 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum2, ax = aa[2], bx);
         smlal(&accum0, ax, bx = b[8]);
         smlal(&accum2, ax = aa[3], bx);
-        
+
         smlal(&accum0, ax = a[11], bx = b[7]);
         smlal(&accum2, ax = a[12], bx);
         smlal(&accum0, ax, bx = b[6]);
@@ -214,7 +203,7 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum0, ax, bx = b[4]);
         smlal(&accum2, ax = a[15], bx);
         smlal(&accum0, ax, bx = b[3]);
-        
+
         /* t terms */
         accum1 += accum0;
         accum3 += accum2;
@@ -225,7 +214,7 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum3, ax = a[10], bx);
         smlal(&accum1, ax, bx = b[0]);
         smlal(&accum3, ax = a[11], bx);
-        
+
         smlal(&accum1, ax = a[3], bx = bm[7]);
         smlal(&accum3, ax = a[4], bx);
         smlal(&accum1, ax, bx = bm[6]);
@@ -235,7 +224,7 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum1, ax, bx = bm[4]);
         smlal(&accum3, ax = a[7], bx);
         smlal(&accum1, ax, bx = bm[3]);
-        
+
         /* 1 terms */
         smlal(&accum2, ax = a[0], bx);
         smlal(&accum0, ax, bx = bm[2]);
@@ -244,34 +233,34 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum2, ax = a[2], bx);
         smlal(&accum0, ax, bx = bm[0]);
         smlal(&accum2, ax = a[3], bx);
-        
+
         accum0 += accumC0;
         accum1 += accumC1;
         accum2 += accum0 >> 28;
         accum3 += accum1 >> 28;
-        
+
         c[2] = ((uint32_t)(accum0)) & mask;
         c[3] = ((uint32_t)(accum2)) & mask;
         c[10] = ((uint32_t)(accum1)) & mask;
         c[11] = ((uint32_t)(accum3)) & mask;
-        
+
         accumC0 = accum2 >> 28;
         accumC1 = accum3 >> 28;
     }
     {
-        
+
         /* t^3 terms */
         smull(&accum1, ax = aa[5], bx = b[15]);
         smull(&accum3, ax = aa[6], bx);
         smlal(&accum1, ax, bx = b[14]);
         smlal(&accum3, ax = aa[7], bx);
         smlal(&accum1, ax, bx = b[13]);
-        
+
         accum0 = accum1;
         accum2 = accum3;
-        
+
         /* t^2 terms */
-        
+
         smlal(&accum2, ax = aa[0], bx);
         smlal(&accum0, ax, bx = b[12]);
         smlal(&accum2, ax = aa[1], bx);
@@ -283,18 +272,17 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum2, ax = aa[4], bx);
         smlal(&accum0, ax, bx = b[8]);
         smlal(&accum2, ax = aa[5], bx);
-        
-        
+
         smlal(&accum0, ax = a[13], bx = b[7]);
         smlal(&accum2, ax = a[14], bx);
         smlal(&accum0, ax, bx = b[6]);
         smlal(&accum2, ax = a[15], bx);
         smlal(&accum0, ax, bx = b[5]);
-        
+
         /* t terms */
         accum1 += accum0;
         accum3 += accum2;
-        
+
         smlal(&accum3, ax = a[8], bx);
         smlal(&accum1, ax, bx = b[4]);
         smlal(&accum3, ax = a[9], bx);
@@ -306,16 +294,15 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum3, ax = a[12], bx);
         smlal(&accum1, ax, bx = b[0]);
         smlal(&accum3, ax = a[13], bx);
-        
-        
+
         smlal(&accum1, ax = a[5], bx = bm[7]);
         smlal(&accum3, ax = a[6], bx);
         smlal(&accum1, ax, bx = bm[6]);
         smlal(&accum3, ax = a[7], bx);
         smlal(&accum1, ax, bx = bm[5]);
-        
+
         /* 1 terms */
-        
+
         smlal(&accum2, ax = a[0], bx);
         smlal(&accum0, ax, bx = bm[4]);
         smlal(&accum2, ax = a[1], bx);
@@ -327,28 +314,28 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum2, ax = a[4], bx);
         smlal(&accum0, ax, bx = bm[0]);
         smlal(&accum2, ax = a[5], bx);
-        
+
         accum0 += accumC0;
         accum1 += accumC1;
         accum2 += accum0 >> 28;
         accum3 += accum1 >> 28;
-        
+
         c[4] = ((uint32_t)(accum0)) & mask;
         c[5] = ((uint32_t)(accum2)) & mask;
         c[12] = ((uint32_t)(accum1)) & mask;
         c[13] = ((uint32_t)(accum3)) & mask;
-        
+
         accumC0 = accum2 >> 28;
         accumC1 = accum3 >> 28;
     }
     {
-        
+
         /* t^3 terms */
         smull(&accum1, ax = aa[7], bx = b[15]);
         accum0 = accum1;
-        
+
         /* t^2 terms */
-        
+
         smull(&accum2, ax = aa[0], bx);
         smlal(&accum0, ax, bx = b[14]);
         smlal(&accum2, ax = aa[1], bx);
@@ -364,14 +351,13 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum2, ax = aa[6], bx);
         smlal(&accum0, ax, bx = b[8]);
         smlal(&accum2, ax = aa[7], bx);
-        
-        
+
         smlal(&accum0, ax = a[15], bx = b[7]);
-        
+
         /* t terms */
         accum1 += accum0;
         accum3 = accum2;
-        
+
         smlal(&accum3, ax = a[8], bx);
         smlal(&accum1, ax, bx = b[6]);
         smlal(&accum3, ax = a[9], bx);
@@ -387,12 +373,11 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum3, ax = a[14], bx);
         smlal(&accum1, ax, bx = b[0]);
         smlal(&accum3, ax = a[15], bx);
-        
-        
+
         smlal(&accum1, ax = a[7], bx = bm[7]);
-        
+
         /* 1 terms */
-        
+
         smlal(&accum2, ax = a[0], bx);
         smlal(&accum0, ax, bx = bm[6]);
         smlal(&accum2, ax = a[1], bx);
@@ -408,17 +393,17 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         smlal(&accum2, ax = a[6], bx);
         smlal(&accum0, ax, bx = bm[0]);
         smlal(&accum2, ax = a[7], bx);
-        
+
         accum0 += accumC0;
         accum1 += accumC1;
         accum2 += accum0 >> 28;
         accum3 += accum1 >> 28;
-        
+
         c[6] = ((uint32_t)(accum0)) & mask;
         c[7] = ((uint32_t)(accum2)) & mask;
         c[14] = ((uint32_t)(accum1)) & mask;
         c[15] = ((uint32_t)(accum3)) & mask;
-        
+
         accum0 = accum2 >> 28;
         accum1 = accum3 >> 28;
     }
@@ -428,28 +413,29 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
     accum1 += c[0];
     c[8] = ((uint32_t)(accum0)) & mask;
     c[0] = ((uint32_t)(accum1)) & mask;
-    
+
     accum0 >>= 28;
     accum1 >>= 28;
     c[9] += ((uint32_t)(accum0));
     c[1] += ((uint32_t)(accum1));
 }
 
-void gf_sqr (gf_s *__restrict__ cs, const gf as) {
+void gf_sqr(gf_s * __restrict__ cs, const gf as)
+{
     const uint32_t *a = as->limb;
     uint32_t *c = cs->limb;
 
     uint64_t accum0 = 0, accum1 = 0, accum2, accum3, accumC0, accumC1, tmp;
-    uint32_t mask = (1<<28) - 1;  
+    uint32_t mask = (1 << 28) - 1;
 
     uint32_t bm[8];
-    
+
     int i;
-    for (i=0; i<8; i++) {
-        bm[i] = a[i] - a[i+8];
+    for (i = 0; i < 8; i++) {
+        bm[i] = a[i] - a[i + 8];
     }
 
-    uint32_t ax,bx;
+    uint32_t ax, bx;
     {
         /* t^3 terms */
         smull2(&accum1, ax = a[9], bx = a[15]);
@@ -459,14 +445,14 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
         smlal2(&accum1, ax, bx = a[13]);
         smlal2(&accum3, ax = a[12], bx);
         smlal(&accum1, ax, ax);
-        
+
         accum0 = accum1;
         accum2 = accum3;
-        
+
         /* t^2 terms */
         smlal2(&accum2, ax = a[8], a[9]);
         smlal(&accum0, ax, ax);
-        
+
         smlal2(&accum0, ax = a[1], bx = a[7]);
         smlal2(&accum2, ax = a[2], bx);
         smlal2(&accum0, ax, bx = a[6]);
@@ -474,18 +460,18 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
         smlal2(&accum0, ax, bx = a[5]);
         smlal2(&accum2, ax = a[4], bx);
         smlal(&accum0, ax, ax);
-        
+
         /* t terms */
         accum1 += accum0;
         accum3 += accum2;
         smlal2(&accum3, ax = a[0], bx = a[1]);
         smlal(&accum1, ax, ax);
-        
+
         accum1 = -accum1;
         accum3 = -accum3;
         accum2 = -accum2;
         accum0 = -accum0;
-        
+
         smlal2(&accum1, ax = bm[1], bx = bm[7]);
         smlal2(&accum3, ax = bm[2], bx);
         smlal2(&accum1, ax, bx = bm[6]);
@@ -493,22 +479,26 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
         smlal2(&accum1, ax, bx = bm[5]);
         smlal2(&accum3, ax = bm[4], bx);
         smlal(&accum1, ax, ax);
-        
+
         /* 1 terms */
         smlal2(&accum2, ax = bm[0], bx = bm[1]);
         smlal(&accum0, ax, ax);
-        
-        tmp = -accum3; accum3 = tmp-accum2; accum2 = tmp;
-        tmp = -accum1; accum1 = tmp-accum0; accum0 = tmp;
-        
+
+        tmp = -accum3;
+        accum3 = tmp - accum2;
+        accum2 = tmp;
+        tmp = -accum1;
+        accum1 = tmp - accum0;
+        accum0 = tmp;
+
         accum2 += accum0 >> 28;
         accum3 += accum1 >> 28;
-        
+
         c[0] = ((uint32_t)(accum0)) & mask;
         c[1] = ((uint32_t)(accum2)) & mask;
         c[8] = ((uint32_t)(accum1)) & mask;
         c[9] = ((uint32_t)(accum3)) & mask;
-        
+
         accumC0 = accum2 >> 28;
         accumC1 = accum3 >> 28;
     }
@@ -519,22 +509,22 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
         smlal2(&accum1, ax, bx = a[14]);
         smlal2(&accum3, ax = a[13], bx);
         smlal(&accum1, ax, ax);
-        
+
         accum0 = accum1;
         accum2 = accum3;
-        
+
         /* t^2 terms */
         smlal2(&accum2, ax = a[8], bx = a[11]);
         smlal2(&accum0, ax, bx = a[10]);
         smlal2(&accum2, ax = a[9], bx);
         smlal(&accum0, ax, ax);
-        
+
         smlal2(&accum0, ax = a[3], bx = a[7]);
         smlal2(&accum2, ax = a[4], bx);
         smlal2(&accum0, ax, bx = a[6]);
         smlal2(&accum2, ax = a[5], bx);
         smlal(&accum0, ax, ax);
-        
+
         /* t terms */
         accum1 += accum0;
         accum3 += accum2;
@@ -542,119 +532,124 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
         smlal2(&accum1, ax, bx = a[2]);
         smlal2(&accum3, ax = a[1], bx);
         smlal(&accum1, ax, ax);
-        
+
         accum1 = -accum1;
         accum3 = -accum3;
         accum2 = -accum2;
         accum0 = -accum0;
-        
+
         smlal2(&accum1, ax = bm[3], bx = bm[7]);
         smlal2(&accum3, ax = bm[4], bx);
         smlal2(&accum1, ax, bx = bm[6]);
         smlal2(&accum3, ax = bm[5], bx);
         smlal(&accum1, ax, ax);
-        
+
         /* 1 terms */
         smlal2(&accum2, ax = bm[0], bx = bm[3]);
         smlal2(&accum0, ax, bx = bm[2]);
         smlal2(&accum2, ax = bm[1], bx);
         smlal(&accum0, ax, ax);
-        
-        
-        tmp = -accum3; accum3 = tmp-accum2; accum2 = tmp;
-        tmp = -accum1; accum1 = tmp-accum0; accum0 = tmp;
-        
+
+        tmp = -accum3;
+        accum3 = tmp - accum2;
+        accum2 = tmp;
+        tmp = -accum1;
+        accum1 = tmp - accum0;
+        accum0 = tmp;
+
         accum0 += accumC0;
         accum1 += accumC1;
         accum2 += accum0 >> 28;
         accum3 += accum1 >> 28;
-        
+
         c[2] = ((uint32_t)(accum0)) & mask;
         c[3] = ((uint32_t)(accum2)) & mask;
         c[10] = ((uint32_t)(accum1)) & mask;
         c[11] = ((uint32_t)(accum3)) & mask;
-        
+
         accumC0 = accum2 >> 28;
         accumC1 = accum3 >> 28;
     }
     {
-        
+
         /* t^3 terms */
         smull2(&accum1, ax = a[13], bx = a[15]);
         smull2(&accum3, ax = a[14], bx);
         smlal(&accum1, ax, ax);
-        
+
         accum0 = accum1;
         accum2 = accum3;
-        
+
         /* t^2 terms */
-        
+
         smlal2(&accum2, ax = a[8], bx = a[13]);
         smlal2(&accum0, ax, bx = a[12]);
         smlal2(&accum2, ax = a[9], bx);
         smlal2(&accum0, ax, bx = a[11]);
         smlal2(&accum2, ax = a[10], bx);
         smlal(&accum0, ax, ax);
-        
-        
+
         smlal2(&accum0, ax = a[5], bx = a[7]);
         smlal2(&accum2, ax = a[6], bx);
         smlal(&accum0, ax, ax);
-        
+
         /* t terms */
         accum1 += accum0;
         accum3 += accum2;
-        
+
         smlal2(&accum3, ax = a[0], bx = a[5]);
         smlal2(&accum1, ax, bx = a[4]);
         smlal2(&accum3, ax = a[1], bx);
         smlal2(&accum1, ax, bx = a[3]);
         smlal2(&accum3, ax = a[2], bx);
         smlal(&accum1, ax, ax);
-        
+
         accum1 = -accum1;
         accum3 = -accum3;
         accum2 = -accum2;
         accum0 = -accum0;
-        
+
         smlal2(&accum1, ax = bm[5], bx = bm[7]);
         smlal2(&accum3, ax = bm[6], bx);
         smlal(&accum1, ax, ax);
-        
+
         /* 1 terms */
-        
+
         smlal2(&accum2, ax = bm[0], bx = bm[5]);
         smlal2(&accum0, ax, bx = bm[4]);
         smlal2(&accum2, ax = bm[1], bx);
         smlal2(&accum0, ax, bx = bm[3]);
         smlal2(&accum2, ax = bm[2], bx);
         smlal(&accum0, ax, ax);
-        
-        
-        tmp = -accum3; accum3 = tmp-accum2; accum2 = tmp;
-        tmp = -accum1; accum1 = tmp-accum0; accum0 = tmp;
-        
+
+        tmp = -accum3;
+        accum3 = tmp - accum2;
+        accum2 = tmp;
+        tmp = -accum1;
+        accum1 = tmp - accum0;
+        accum0 = tmp;
+
         accum0 += accumC0;
         accum1 += accumC1;
         accum2 += accum0 >> 28;
         accum3 += accum1 >> 28;
-        
+
         c[4] = ((uint32_t)(accum0)) & mask;
         c[5] = ((uint32_t)(accum2)) & mask;
         c[12] = ((uint32_t)(accum1)) & mask;
         c[13] = ((uint32_t)(accum3)) & mask;
-        
+
         accumC0 = accum2 >> 28;
         accumC1 = accum3 >> 28;
     }
     {
-        
+
         /* t^3 terms */
         smull(&accum1, ax = a[15], bx = a[15]);
         accum0 = accum1;
-        
+
         /* t^2 terms */
-        
+
         smull2(&accum2, ax = a[8], bx);
         smlal2(&accum0, ax, bx = a[14]);
         smlal2(&accum2, ax = a[9], bx);
@@ -663,14 +658,13 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
         smlal2(&accum0, ax, bx = a[12]);
         smlal2(&accum2, ax = a[11], bx);
         smlal(&accum0, ax, ax);
-        
-        
+
         smlal(&accum0, ax = a[7], bx = a[7]);
-        
+
         /* t terms */
         accum1 += accum0;
         accum3 = accum2;
-        
+
         smlal2(&accum3, ax = a[0], bx);
         smlal2(&accum1, ax, bx = a[6]);
         smlal2(&accum3, ax = a[1], bx);
@@ -679,17 +673,17 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
         smlal2(&accum1, ax, bx = a[4]);
         smlal2(&accum3, ax = a[3], bx);
         smlal(&accum1, ax, ax);
-        
+
         accum1 = -accum1;
         accum3 = -accum3;
         accum2 = -accum2;
         accum0 = -accum0;
-        
+
         bx = bm[7];
         smlal(&accum1, bx, bx);
-        
+
         /* 1 terms */
-        
+
         smlal2(&accum2, ax = bm[0], bx);
         smlal2(&accum0, ax, bx = bm[6]);
         smlal2(&accum2, ax = bm[1], bx);
@@ -698,21 +692,24 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
         smlal2(&accum0, ax, bx = bm[4]);
         smlal2(&accum2, ax = bm[3], bx);
         smlal(&accum0, ax, ax);
-        
-        tmp = -accum3; accum3 = tmp-accum2; accum2 = tmp;
-        tmp = -accum1; accum1 = tmp-accum0; accum0 = tmp;
-        
-        
+
+        tmp = -accum3;
+        accum3 = tmp - accum2;
+        accum2 = tmp;
+        tmp = -accum1;
+        accum1 = tmp - accum0;
+        accum0 = tmp;
+
         accum0 += accumC0;
         accum1 += accumC1;
         accum2 += accum0 >> 28;
         accum3 += accum1 >> 28;
-        
+
         c[6] = ((uint32_t)(accum0)) & mask;
         c[7] = ((uint32_t)(accum2)) & mask;
         c[14] = ((uint32_t)(accum1)) & mask;
         c[15] = ((uint32_t)(accum3)) & mask;
-        
+
         accum0 = accum2 >> 28;
         accum1 = accum3 >> 28;
     }
@@ -722,21 +719,18 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
     accum1 += c[0];
     c[8] = ((uint32_t)(accum0)) & mask;
     c[0] = ((uint32_t)(accum1)) & mask;
-    
+
     accum0 >>= 28;
     accum1 >>= 28;
     c[9] += ((uint32_t)(accum0));
     c[1] += ((uint32_t)(accum1));
 }
 
-void gf_mulw_unsigned (
-    gf_s *__restrict__ cs,
-    const gf as,
-    uint32_t b
-) {
-    uint32_t mask = (1ull<<28)-1;  
+void gf_mulw_unsigned(gf_s * __restrict__ cs, const gf as, uint32_t b)
+{
+    uint32_t mask = (1ull << 28) - 1;
     assert(b <= mask);
-    
+
     const uint32_t *a = as->limb;
     uint32_t *c = cs->limb;
 
@@ -745,75 +739,99 @@ void gf_mulw_unsigned (
     int i;
 
     uint32_t c0, c8, n0, n8;
-    c0 = a[0]; c8 = a[8];
+    c0 = a[0];
+    c8 = a[8];
     accum0 = widemul(b, c0);
     accum8 = widemul(b, c8);
 
-    c[0] = accum0 & mask; accum0 >>= 28;
-    c[8] = accum8 & mask; accum8 >>= 28;
-    
-    i=1;
+    c[0] = accum0 & mask;
+    accum0 >>= 28;
+    c[8] = accum8 & mask;
+    accum8 >>= 28;
+
+    i = 1;
     {
-        n0 = a[i]; n8 = a[i+8];
+        n0 = a[i];
+        n8 = a[i + 8];
         smlal(&accum0, b, n0);
         smlal(&accum8, b, n8);
-        
-        c[i] = accum0 & mask; accum0 >>= 28;
-        c[i+8] = accum8 & mask; accum8 >>= 28;
+
+        c[i] = accum0 & mask;
+        accum0 >>= 28;
+        c[i + 8] = accum8 & mask;
+        accum8 >>= 28;
         i++;
     }
     {
-        c0 = a[i]; c8 = a[i+8];
+        c0 = a[i];
+        c8 = a[i + 8];
         smlal(&accum0, b, c0);
         smlal(&accum8, b, c8);
 
-        c[i] = accum0 & mask; accum0 >>= 28;
-        c[i+8] = accum8 & mask; accum8 >>= 28;
+        c[i] = accum0 & mask;
+        accum0 >>= 28;
+        c[i + 8] = accum8 & mask;
+        accum8 >>= 28;
         i++;
     }
     {
-        n0 = a[i]; n8 = a[i+8];
+        n0 = a[i];
+        n8 = a[i + 8];
         smlal(&accum0, b, n0);
         smlal(&accum8, b, n8);
 
-        c[i] = accum0 & mask; accum0 >>= 28;
-        c[i+8] = accum8 & mask; accum8 >>= 28;
+        c[i] = accum0 & mask;
+        accum0 >>= 28;
+        c[i + 8] = accum8 & mask;
+        accum8 >>= 28;
         i++;
     }
     {
-        c0 = a[i]; c8 = a[i+8];
+        c0 = a[i];
+        c8 = a[i + 8];
         smlal(&accum0, b, c0);
         smlal(&accum8, b, c8);
 
-        c[i] = accum0 & mask; accum0 >>= 28;
-        c[i+8] = accum8 & mask; accum8 >>= 28;
+        c[i] = accum0 & mask;
+        accum0 >>= 28;
+        c[i + 8] = accum8 & mask;
+        accum8 >>= 28;
         i++;
     }
     {
-        n0 = a[i]; n8 = a[i+8];
+        n0 = a[i];
+        n8 = a[i + 8];
         smlal(&accum0, b, n0);
         smlal(&accum8, b, n8);
 
-        c[i] = accum0 & mask; accum0 >>= 28;
-        c[i+8] = accum8 & mask; accum8 >>= 28;
+        c[i] = accum0 & mask;
+        accum0 >>= 28;
+        c[i + 8] = accum8 & mask;
+        accum8 >>= 28;
         i++;
     }
     {
-        c0 = a[i]; c8 = a[i+8];
+        c0 = a[i];
+        c8 = a[i + 8];
         smlal(&accum0, b, c0);
         smlal(&accum8, b, c8);
-        
-        c[i] = accum0 & mask; accum0 >>= 28;
-        c[i+8] = accum8 & mask; accum8 >>= 28;
+
+        c[i] = accum0 & mask;
+        accum0 >>= 28;
+        c[i + 8] = accum8 & mask;
+        accum8 >>= 28;
         i++;
     }
     {
-        n0 = a[i]; n8 = a[i+8];
+        n0 = a[i];
+        n8 = a[i + 8];
         smlal(&accum0, b, n0);
         smlal(&accum8, b, n8);
 
-        c[i] = accum0 & mask; accum0 >>= 28;
-        c[i+8] = accum8 & mask; accum8 >>= 28;
+        c[i] = accum0 & mask;
+        accum0 >>= 28;
+        c[i + 8] = accum8 & mask;
+        accum8 >>= 28;
         i++;
     }
 
index ed19f80e9124a6bfafa01b8518ac4bef29ed7d0a..9008619ce771db95a43df1a97af34d464137b52b 100644 (file)
 #define LIMB(x) (x##ull)&((1ull<<28)-1), (x##ull)>>28
 #define FIELD_LITERAL(a,b,c,d,e,f,g,h) \
     {{LIMB(a),LIMB(b),LIMB(c),LIMB(d),LIMB(e),LIMB(f),LIMB(g),LIMB(h)}}
-    
+
 #define LIMB_PLACE_VALUE(i) 28
 
-void gf_add_RAW (gf out, const gf a, const gf b) {
-    for (unsigned int i=0; i<sizeof(*out)/sizeof(uint32xn_t); i++) {
-        ((uint32xn_t*)out)[i] = ((const uint32xn_t*)a)[i] + ((const uint32xn_t*)b)[i];
+void gf_add_RAW(gf out, const gf a, const gf b)
+{
+    for (unsigned int i = 0; i < sizeof(*out) / sizeof(uint32xn_t); i++) {
+        ((uint32xn_t *) out)[i] =
+            ((const uint32xn_t *)a)[i] + ((const uint32xn_t *)b)[i];
     }
     /*
-    for (unsigned int i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
-        out->limb[i] = a->limb[i] + b->limb[i];
-    }
-    */
+     * for (unsigned int i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
+     * out->limb[i] = a->limb[i] + b->limb[i]; }
+     */
 }
 
-void gf_sub_RAW (gf out, const gf a, const gf b) {
-    for (unsigned int i=0; i<sizeof(*out)/sizeof(uint32xn_t); i++) {
-        ((uint32xn_t*)out)[i] = ((const uint32xn_t*)a)[i] - ((const uint32xn_t*)b)[i];
+void gf_sub_RAW(gf out, const gf a, const gf b)
+{
+    for (unsigned int i = 0; i < sizeof(*out) / sizeof(uint32xn_t); i++) {
+        ((uint32xn_t *) out)[i] =
+            ((const uint32xn_t *)a)[i] - ((const uint32xn_t *)b)[i];
     }
     /*
-    for (unsigned int i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
-        out->limb[i] = a->limb[i] - b->limb[i];
-    }
-    */
+     * for (unsigned int i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
+     * out->limb[i] = a->limb[i] - b->limb[i]; }
+     */
 }
 
-void gf_bias (gf a, int amt) {
-    uint32_t co1 = ((1ull<<28)-1)*amt, co2 = co1-amt;
-    uint32x4_t lo = {co1,co1,co1,co1}, hi = {co2,co1,co1,co1};
-    uint32x4_t *aa = (uint32x4_t*) a;
+void gf_bias(gf a, int amt)
+{
+    uint32_t co1 = ((1ull << 28) - 1) * amt, co2 = co1 - amt;
+    uint32x4_t lo = { co1, co1, co1, co1 }, hi = {
+    co2, co1, co1, co1};
+    uint32x4_t *aa = (uint32x4_t *) a;
     aa[0] += lo;
     aa[1] += lo;
     aa[2] += hi;
     aa[3] += lo;
 }
 
-void gf_weak_reduce (gf a) {
-    uint64_t mask = (1ull<<28) - 1;
+void gf_weak_reduce(gf a)
+{
+    uint64_t mask = (1ull << 28) - 1;
     uint64_t tmp = a->limb[15] >> 28;
     a->limb[8] += tmp;
-    for (unsigned int i=15; i>0; i--) {
-        a->limb[i] = (a->limb[i] & mask) + (a->limb[i-1]>>28);
+    for (unsigned int i = 15; i > 0; i--) {
+        a->limb[i] = (a->limb[i] & mask) + (a->limb[i - 1] >> 28);
     }
     a->limb[0] = (a->limb[0] & mask) + tmp;
 }
-
index a3659823e3b190197dbc8d1301abe6a8fac0c1a0..201b3735b3eb2002ea0a0c318f38fb20ee5de61f 100644 (file)
  */
 
 #ifndef __ARCH_NEON_ARCH_INTRINSICS_H__
-#define __ARCH_NEON_ARCH_INTRINSICS_H__
+# define __ARCH_NEON_ARCH_INTRINSICS_H__
 
-#define ARCH_WORD_BITS 32
+# define ARCH_WORD_BITS 32
 
-static __inline__ __attribute((always_inline,unused))
-uint32_t word_is_zero(uint32_t a) {
+static __inline__ __attribute((always_inline, unused))
+uint32_t word_is_zero(uint32_t a)
+{
     uint32_t ret;
   __asm__("subs %0, %1, #1;\n\tsbc %0, %0, %0" : "=r"(ret) : "r"(a) : "cc");
__asm__("subs %0, %1, #1;\n\tsbc %0, %0, %0": "=r"(ret): "r"(a):"cc");
     return ret;
 }
 
-static __inline__ __attribute((always_inline,unused))
-uint64_t widemul(uint32_t a, uint32_t b) {
-    /* Could be UMULL, but it's hard to express to CC that the registers must be different */
-    return ((uint64_t)a) * b; 
+static __inline__ __attribute((always_inline, unused))
+uint64_t widemul(uint32_t a, uint32_t b)
+{
+    /*
+     * Could be UMULL, but it's hard to express to CC that the registers must
+     * be different
+     */
+    return ((uint64_t)a) * b;
 }
 
-#endif /* __ARCH_NEON_ARCH_INTRINSICS_H__ */
-
+#endif                          /* __ARCH_NEON_ARCH_INTRINSICS_H__ */
index dabcfdba3caa8d2b73fdf674c759723015880d02..fe21aee1281f24c6379010c2d7bfbe56fd8047ce 100644 (file)
 
 #include "f_field.h"
 
-static __inline__ uint64x2_t __attribute__((gnu_inline,always_inline,unused))
-xx_vaddup_u64(uint64x2_t x) {
-    __asm__ ("vadd.s64 %f0, %e0" : "+w"(x));
+static __inline__ uint64x2_t __attribute__ ((gnu_inline, always_inline, unused))
+    xx_vaddup_u64(uint64x2_t x)
+{
+ __asm__("vadd.s64 %f0, %e0":"+w"(x));
     return x;
 }
 
-static __inline__ int64x2_t __attribute__((gnu_inline,always_inline,unused))
-vrev128_s64(int64x2_t x) {
-    __asm__ ("vswp.s64 %e0, %f0" : "+w"(x));
+static __inline__ int64x2_t __attribute__ ((gnu_inline, always_inline, unused))
+    vrev128_s64(int64x2_t x)
+{
+ __asm__("vswp.s64 %e0, %f0":"+w"(x));
     return x;
 }
 
-static __inline__ uint64x2_t __attribute__((gnu_inline,always_inline))
-vrev128_u64(uint64x2_t x) {
-    __asm__ ("vswp.s64 %e0, %f0" : "+w"(x));
+static __inline__ uint64x2_t __attribute__ ((gnu_inline, always_inline))
+    vrev128_u64(uint64x2_t x)
+{
+ __asm__("vswp.s64 %e0, %f0":"+w"(x));
     return x;
 }
 
-static inline void __attribute__((gnu_inline,always_inline,unused))
-smlal (
-    uint64_t *acc,
-    const uint32_t a,
-    const uint32_t b
-) {
-    *acc += (int64_t)(int32_t)a * (int64_t)(int32_t)b;
+static inline void __attribute__ ((gnu_inline, always_inline, unused))
+    smlal(uint64_t *acc, const uint32_t a, const uint32_t b)
+{
+    *acc += (int64_t)(int32_t)a *(int64_t)(int32_t)b;
 }
 
-static inline void __attribute__((gnu_inline,always_inline,unused))
-smlal2 (
-    uint64_t *acc,
-    const uint32_t a,
-    const uint32_t b
-) {
-    *acc += (int64_t)(int32_t)a * (int64_t)(int32_t)b * 2;
+static inline void __attribute__ ((gnu_inline, always_inline, unused))
+    smlal2(uint64_t *acc, const uint32_t a, const uint32_t b)
+{
+    *acc += (int64_t)(int32_t)a *(int64_t)(int32_t)b *2;
 }
 
-static inline void __attribute__((gnu_inline,always_inline,unused))
-smull (
-    uint64_t *acc,
-    const uint32_t a,
-    const uint32_t b
-) {
-    *acc = (int64_t)(int32_t)a * (int64_t)(int32_t)b;
+static inline void __attribute__ ((gnu_inline, always_inline, unused))
+    smull(uint64_t *acc, const uint32_t a, const uint32_t b)
+{
+    *acc = (int64_t)(int32_t)a *(int64_t)(int32_t)b;
 }
 
-static inline void __attribute__((gnu_inline,always_inline,unused))
-smull2 (
-    uint64_t *acc,
-    const uint32_t a,
-    const uint32_t b
-) {
-    *acc = (int64_t)(int32_t)a * (int64_t)(int32_t)b * 2;
+static inline void __attribute__ ((gnu_inline, always_inline, unused))
+    smull2(uint64_t *acc, const uint32_t a, const uint32_t b)
+{
+    *acc = (int64_t)(int32_t)a *(int64_t)(int32_t)b *2;
 }
 
-void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
-    #define _bl0 "q0"
-    #define _bl0_0 "d0"
-    #define _bl0_1 "d1"
-    #define _bh0 "q1"
-    #define _bh0_0 "d2"
-    #define _bh0_1 "d3"
-    #define _bs0 "q2"
-    #define _bs0_0 "d4"
-    #define _bs0_1 "d5"
-    #define _bl2 "q3"
-    #define _bl2_0 "d6"
-    #define _bl2_1 "d7"
-    #define _bh2 "q4"
-    #define _bh2_0 "d8"
-    #define _bh2_1 "d9"
-    #define _bs2 "q5"
-    #define _bs2_0 "d10"
-    #define _bs2_1 "d11"
-
-    #define _as0 "q6"
-    #define _as0_0 "d12"
-    #define _as0_1 "d13"
-    #define _as2 "q7"
-    #define _as2_0 "d14"
-    #define _as2_1 "d15"
-    #define _al0 "q8"
-    #define _al0_0 "d16"
-    #define _al0_1 "d17"
-    #define _ah0 "q9"
-    #define _ah0_0 "d18"
-    #define _ah0_1 "d19"
-    #define _al2 "q10"
-    #define _al2_0 "d20"
-    #define _al2_1 "d21"
-    #define _ah2 "q11"
-    #define _ah2_0 "d22"
-    #define _ah2_1 "d23"
-
-    #define _a0a "q12"
-    #define _a0a_0 "d24"
-    #define _a0a_1 "d25"
-    #define _a0b "q13"
-    #define _a0b_0 "d26"
-    #define _a0b_1 "d27"
-    #define _a1a "q14"
-    #define _a1a_0 "d28"
-    #define _a1a_1 "d29"
-    #define _a1b "q15"
-    #define _a1b_0 "d30"
-    #define _a1b_1 "d31"
-    #define VMAC(op,result,a,b,n) #op" "result", "a", "b"[" #n "]\n\t"
-    #define VOP3(op,result,a,b)   #op" "result", "a", "b"\n\t"
-    #define VOP2(op,result,a)     #op" "result", "a"\n\t"
-
-    int32x2_t *vc = (int32x2_t*) cs->limb;
-
-    __asm__ __volatile__(
-        
-        "vld2.32 {"_al0_0","_al0_1","_ah0_0","_ah0_1"}, [%[a],:128]!" "\n\t"
-        VOP3(vadd.i32,_as0,_al0,_ah0)
-        
-        "vld2.32 {"_bl0_0","_bl0_1","_bh0_0","_bh0_1"}, [%[b],:128]!" "\n\t"
-        VOP3(vadd.i32,_bs0_1,_bl0_1,_bh0_1)
-        VOP3(vsub.i32,_bs0_0,_bl0_0,_bh0_0)
-            
-        "vld2.32 {"_bl2_0","_bl2_1","_bh2_0","_bh2_1"}, [%[b],:128]!" "\n\t"
-        VOP3(vadd.i32,_bs2,_bl2,_bh2)
-            
-        "vld2.32 {"_al2_0","_al2_1","_ah2_0","_ah2_1"}, [%[a],:128]!" "\n\t"
-        VOP3(vadd.i32,_as2,_al2,_ah2)
-        
-        VMAC(vmull.s32,_a0b,_as0_1,_bs2_1,0)
-        VMAC(vmlal.s32,_a0b,_as2_0,_bs2_0,0)
-        VMAC(vmlal.s32,_a0b,_as2_1,_bs0_1,0)
-        VMAC(vmlal.s32,_a0b,_as0_0,_bh0_0,0)
-            
-        VMAC(vmull.s32,_a1b,_as0_1,_bs2_1,1)
-        VMAC(vmlal.s32,_a1b,_as2_0,_bs2_0,1)
-        VMAC(vmlal.s32,_a1b,_as2_1,_bs0_1,1)
-        VMAC(vmlal.s32,_a1b,_as0_0,_bh0_0,1)
-            
-        VOP2(vmov,_a0a,_a0b)
-        VMAC(vmlal.s32,_a0a,_ah0_1,_bh2_1,0)
-        VMAC(vmlal.s32,_a0a,_ah2_0,_bh2_0,0)
-        VMAC(vmlal.s32,_a0a,_ah2_1,_bh0_1,0)
-        VMAC(vmlal.s32,_a0a,_ah0_0,_bl0_0,0)
-            
-        VMAC(vmlsl.s32,_a0b,_al0_1,_bl2_1,0)
-        VMAC(vmlsl.s32,_a0b,_al2_0,_bl2_0,0)
-        VMAC(vmlsl.s32,_a0b,_al2_1,_bl0_1,0)
-        VMAC(vmlal.s32,_a0b,_al0_0,_bs0_0,0)
-            
-        VOP2(vmov,_a1a,_a1b)
-        VMAC(vmlal.s32,_a1a,_ah0_1,_bh2_1,1)
-        VMAC(vmlal.s32,_a1a,_ah2_0,_bh2_0,1)
-        VMAC(vmlal.s32,_a1a,_ah2_1,_bh0_1,1)
-        VMAC(vmlal.s32,_a1a,_ah0_0,_bl0_0,1)
-            
-            VOP2(vswp,_a0b_1,_a0a_0)
-            
-        VMAC(vmlsl.s32,_a1b,_al0_1,_bl2_1,1)
-        VMAC(vmlsl.s32,_a1b,_al2_0,_bl2_0,1)
-        VMAC(vmlsl.s32,_a1b,_al2_1,_bl0_1,1)
-        VMAC(vmlal.s32,_a1b,_al0_0,_bs0_0,1)
-                
-            VOP3(vsra.u64,_a0a,_a0b,"#28")
-            VOP3(vsub.i32,_bs0_1,_bl0_1,_bh0_1)
-            VOP2(vmovn.i64,_a0b_0,_a0b)
-                
-            VOP2(vswp,_a1b_1,_a1a_0)
-            VOP3(vadd.i64,_a1b,_a0a,_a1b)
-                    
-                    
-        VMAC(vmull.s32,_a0a,_as2_0,_bs2_1,0)
-            VOP2(vmovn.i64,_a0b_1,_a1b)
-        VMAC(vmlal.s32,_a0a,_as2_1,_bs2_0,0)
-            VOP3(vsra.u64,_a1a,_a1b,"#28")
-        VMAC(vmlal.s32,_a0a,_as0_0,_bh0_1,0)
-            VOP2(vbic.i32,_a0b,"#0xf0000000")
-        VMAC(vmlal.s32,_a0a,_as0_1,_bh0_0,0)
-            "vstmia %[c]!, {"_a0b_0", "_a0b_1"}" "\n\t"
-                    
-        VMAC(vmull.s32,_a1b,_as2_0,_bs2_1,1)
-        VMAC(vmlal.s32,_a1b,_as2_1,_bs2_0,1)
-        VMAC(vmlal.s32,_a1b,_as0_0,_bh0_1,1)
-        VMAC(vmlal.s32,_a1b,_as0_1,_bh0_0,1)
-
-        VOP2(vmov,_a0b_1,_a0a_1)
-        VOP3(vadd.i64,_a0b_0,_a0a_0,_a1a_0)
-        VOP3(vadd.i64,_a0a_0,_a0a_0,_a1a_1)
-        VMAC(vmlal.s32,_a0a,_ah2_0,_bh2_1,0)
-        VMAC(vmlal.s32,_a0a,_ah2_1,_bh2_0,0)
-        VMAC(vmlal.s32,_a0a,_ah0_0,_bl0_1,0)
-        VMAC(vmlal.s32,_a0a,_ah0_1,_bl0_0,0)
-
-        VMAC(vmlsl.s32,_a0b,_al2_0,_bl2_1,0)
-        VMAC(vmlsl.s32,_a0b,_al2_1,_bl2_0,0)
-        VMAC(vmlal.s32,_a0b,_al0_0,_bs0_1,0)
-        VMAC(vmlal.s32,_a0b,_al0_1,_bs0_0,0)
-
-        VOP2(vmov,_a1a,_a1b)
-        VMAC(vmlal.s32,_a1a,_ah2_0,_bh2_1,1)
-        VMAC(vmlal.s32,_a1a,_ah2_1,_bh2_0,1)
-        VMAC(vmlal.s32,_a1a,_ah0_0,_bl0_1,1)
-        VMAC(vmlal.s32,_a1a,_ah0_1,_bl0_0,1)
-
-            VOP2(vswp,_a0b_1,_a0a_0)
-
-        VMAC(vmlsl.s32,_a1b,_al2_0,_bl2_1,1)
-        VMAC(vmlsl.s32,_a1b,_al2_1,_bl2_0,1)
-        VMAC(vmlal.s32,_a1b,_al0_0,_bs0_1,1)
-        VMAC(vmlal.s32,_a1b,_al0_1,_bs0_0,1)
-                                        
-            VOP3(vsra.u64,_a0a,_a0b,"#28")
-            VOP3(vsub.i32,_bs2_0,_bl2_0,_bh2_0)
-            VOP2(vmovn.i64,_a0b_0,_a0b)
-                        
-            VOP2(vswp,_a1b_1,_a1a_0)
-            VOP3(vadd.i64,_a1b,_a0a,_a1b)
-
-        VMAC(vmull.s32,_a0a,_as2_1,_bs2_1,0)
-            VOP2(vmovn.i64,_a0b_1,_a1b)
-        VMAC(vmlal.s32,_a0a,_as0_0,_bh2_0,0)
-            VOP3(vsra.u64,_a1a,_a1b,"#28")
-        VMAC(vmlal.s32,_a0a,_as0_1,_bh0_1,0)
-            VOP2(vbic.i32,_a0b,"#0xf0000000")
-        VMAC(vmlal.s32,_a0a,_as2_0,_bh0_0,0)
-            "vstmia %[c]!, {"_a0b_0", "_a0b_1"}" "\n\t"
-
-        VMAC(vmull.s32,_a1b,_as2_1,_bs2_1,1)
-        VMAC(vmlal.s32,_a1b,_as0_0,_bh2_0,1)
-        VMAC(vmlal.s32,_a1b,_as0_1,_bh0_1,1)
-        VMAC(vmlal.s32,_a1b,_as2_0,_bh0_0,1)
-
-        VOP2(vmov,_a0b_1,_a0a_1)
-        VOP3(vadd.i64,_a0b_0,_a0a_0,_a1a_0)
-        VOP3(vadd.i64,_a0a_0,_a0a_0,_a1a_1)
-        VMAC(vmlal.s32,_a0a,_ah2_1,_bh2_1,0)
-        VMAC(vmlal.s32,_a0a,_ah0_0,_bl2_0,0)
-        VMAC(vmlal.s32,_a0a,_ah0_1,_bl0_1,0)
-        VMAC(vmlal.s32,_a0a,_ah2_0,_bl0_0,0)
-
-        VMAC(vmlsl.s32,_a0b,_al2_1,_bl2_1,0)
-        VMAC(vmlal.s32,_a0b,_al0_0,_bs2_0,0)
-        VMAC(vmlal.s32,_a0b,_al0_1,_bs0_1,0)
-        VMAC(vmlal.s32,_a0b,_al2_0,_bs0_0,0)
-
-        VOP2(vmov,_a1a,_a1b)
-        VMAC(vmlal.s32,_a1a,_ah2_1,_bh2_1,1)
-        VMAC(vmlal.s32,_a1a,_ah0_0,_bl2_0,1)
-        VMAC(vmlal.s32,_a1a,_ah0_1,_bl0_1,1)
-        VMAC(vmlal.s32,_a1a,_ah2_0,_bl0_0,1)
-
-            VOP2(vswp,_a0b_1,_a0a_0)
-
-        VMAC(vmlsl.s32,_a1b,_al2_1,_bl2_1,1)
-        VMAC(vmlal.s32,_a1b,_al0_0,_bs2_0,1)
-        VMAC(vmlal.s32,_a1b,_al0_1,_bs0_1,1)
-        VMAC(vmlal.s32,_a1b,_al2_0,_bs0_0,1)
-                                                                
-            VOP3(vsub.i32,_bs2_1,_bl2_1,_bh2_1)
-            VOP3(vsra.u64,_a0a,_a0b,"#28")
-            VOP2(vmovn.i64,_a0b_0,_a0b)
-                        
-            VOP2(vswp,_a1b_1,_a1a_0)
-            VOP3(vadd.i64,_a1b,_a0a,_a1b)
-
-        VMAC(vmull.s32,_a0a,_as0_0,_bh2_1,0)
-            VOP2(vmovn.i64,_a0b_1,_a1b)
-        VMAC(vmlal.s32,_a0a,_as0_1,_bh2_0,0)
-            VOP3(vsra.u64,_a1a,_a1b,"#28")
-        VMAC(vmlal.s32,_a0a,_as2_0,_bh0_1,0)
-            VOP2(vbic.i32,_a0b,"#0xf0000000")
-        VMAC(vmlal.s32,_a0a,_as2_1,_bh0_0,0)
-            "vstmia %[c]!, {"_a0b_0", "_a0b_1"}" "\n\t"
-
-        VMAC(vmull.s32,_a1b,_as0_0,_bh2_1,1)
-        VMAC(vmlal.s32,_a1b,_as0_1,_bh2_0,1)
-        VMAC(vmlal.s32,_a1b,_as2_0,_bh0_1,1)
-        VMAC(vmlal.s32,_a1b,_as2_1,_bh0_0,1)
-
-        VOP2(vmov,_a0b_1,_a0a_1)
-        VOP3(vadd.i64,_a0b_0,_a0a_0,_a1a_0)
-        VOP3(vadd.i64,_a0a_0,_a0a_0,_a1a_1)
-        VMAC(vmlal.s32,_a0a,_ah0_0,_bl2_1,0)
-        VMAC(vmlal.s32,_a0a,_ah0_1,_bl2_0,0)
-        VMAC(vmlal.s32,_a0a,_ah2_0,_bl0_1,0)
-        VMAC(vmlal.s32,_a0a,_ah2_1,_bl0_0,0)
-
-        VMAC(vmlal.s32,_a0b,_al0_0,_bs2_1,0)
-        VMAC(vmlal.s32,_a0b,_al0_1,_bs2_0,0)
-        VMAC(vmlal.s32,_a0b,_al2_0,_bs0_1,0)
-        VMAC(vmlal.s32,_a0b,_al2_1,_bs0_0,0)
-
-        VOP2(vmov,_a1a,_a1b)
-        VMAC(vmlal.s32,_a1a,_ah0_0,_bl2_1,1)
-        VMAC(vmlal.s32,_a1a,_ah0_1,_bl2_0,1)
-        VMAC(vmlal.s32,_a1a,_ah2_0,_bl0_1,1)
-        VMAC(vmlal.s32,_a1a,_ah2_1,_bl0_0,1)
-
-            VOP2(vswp,_a0b_1,_a0a_0)
-
-        VMAC(vmlal.s32,_a1b,_al0_0,_bs2_1,1)
-        VMAC(vmlal.s32,_a1b,_al0_1,_bs2_0,1)
-        VMAC(vmlal.s32,_a1b,_al2_0,_bs0_1,1)
-        VMAC(vmlal.s32,_a1b,_al2_1,_bs0_0,1)
-                        
-            VOP3(vsra.u64,_a0a,_a0b,"#28")
-            VOP2(vmovn.i64,_a0b_0,_a0b)
-                                                                                            
-            VOP2(vswp,_a1b_1,_a1a_0)
-            VOP3(vadd.i64,_a0a,_a0a,_a1b)
-
-            VOP2(vmovn.i64,_a0b_1,_a0a)
-            VOP3(vsra.u64,_a1a,_a0a,"#28")
-                                                                                            
-            VOP2(vbic.i32,_a0b,"#0xf0000000") 
-                                                                                            
-        VOP2(vswp,_a1a_0,_a1a_1)
-                                                                                            
-            "vstmia %[c]!, {"_a0b_0", "_a0b_1"}" "\n\t"  
-            "sub %[c], #64" "\n\t"
-                                                                                                
-        VOP3(vadd.i64,_a1a_1,_a1a_1,_a1a_0)
-        
-            "vldmia %[c], {"_a0a_0", "_a0a_1", "_a0b_0"}" "\n\t"
-            VOP2(vaddw.s32,_a1a,_a0a_0)
-            VOP2(vmovn.i64,_a0a_0,_a1a)
-            VOP2(vshr.s64,_a1a,"#28")
-                                                
-            VOP2(vaddw.s32,_a1a,_a0a_1)
-            VOP2(vmovn.i64,_a0a_1,_a1a)
-            VOP2(vshr.s64,_a1a,"#28")
-                                                                                                    
-            VOP2(vbic.i32,_a0a,"#0xf0000000")
-                                                
-            VOP2(vaddw.s32,_a1a,_a0b_0) 
-            VOP2(vmovn.i64,_a0b_0,_a1a)
-            
-            "vstmia %[c], {"_a0a_0", "_a0a_1", "_a0b_0"}" "\n\t"
-        
-        : [a]"+r"(as)
-        , [b]"+r"(bs)
-        , [c]"+r"(vc)
-                            
-        :: "q0","q1","q2","q3",
-            "q4","q5","q6","q7",
-            "q8","q9","q10","q11",
-            "q12","q13","q14","q15",
-            "memory"
-    );
+void gf_mul(gf_s * __restrict__ cs, const gf as, const gf bs)
+{
+#define _bl0 "q0"
+#define _bl0_0 "d0"
+#define _bl0_1 "d1"
+#define _bh0 "q1"
+#define _bh0_0 "d2"
+#define _bh0_1 "d3"
+#define _bs0 "q2"
+#define _bs0_0 "d4"
+#define _bs0_1 "d5"
+#define _bl2 "q3"
+#define _bl2_0 "d6"
+#define _bl2_1 "d7"
+#define _bh2 "q4"
+#define _bh2_0 "d8"
+#define _bh2_1 "d9"
+#define _bs2 "q5"
+#define _bs2_0 "d10"
+#define _bs2_1 "d11"
+
+#define _as0 "q6"
+#define _as0_0 "d12"
+#define _as0_1 "d13"
+#define _as2 "q7"
+#define _as2_0 "d14"
+#define _as2_1 "d15"
+#define _al0 "q8"
+#define _al0_0 "d16"
+#define _al0_1 "d17"
+#define _ah0 "q9"
+#define _ah0_0 "d18"
+#define _ah0_1 "d19"
+#define _al2 "q10"
+#define _al2_0 "d20"
+#define _al2_1 "d21"
+#define _ah2 "q11"
+#define _ah2_0 "d22"
+#define _ah2_1 "d23"
+
+#define _a0a "q12"
+#define _a0a_0 "d24"
+#define _a0a_1 "d25"
+#define _a0b "q13"
+#define _a0b_0 "d26"
+#define _a0b_1 "d27"
+#define _a1a "q14"
+#define _a1a_0 "d28"
+#define _a1a_1 "d29"
+#define _a1b "q15"
+#define _a1b_0 "d30"
+#define _a1b_1 "d31"
+#define VMAC(op,result,a,b,n) #op" "result", "a", "b"[" #n "]\n\t"
+#define VOP3(op,result,a,b)   #op" "result", "a", "b"\n\t"
+#define VOP2(op,result,a)     #op" "result", "a"\n\t"
+
+    int32x2_t *vc = (int32x2_t *) cs->limb;
+
+    __asm__ __volatile__("vld2.32 {" _al0_0 "," _al0_1 "," _ah0_0 "," _ah0_1
+                         "}, [%[a],:128]!" "\n\t" VOP3(vadd.i32, _as0, _al0,
+                                                       _ah0)
+                         "vld2.32 {" _bl0_0 "," _bl0_1 "," _bh0_0 "," _bh0_1
+                         "}, [%[b],:128]!" "\n\t" VOP3(vadd.i32, _bs0_1, _bl0_1,
+                                                       _bh0_1) VOP3(vsub.i32,
+                                                                    _bs0_0,
+                                                                    _bl0_0,
+                                                                    _bh0_0)
+                         "vld2.32 {" _bl2_0 "," _bl2_1 "," _bh2_0 "," _bh2_1
+                         "}, [%[b],:128]!" "\n\t" VOP3(vadd.i32, _bs2, _bl2,
+                                                       _bh2)
+                         "vld2.32 {" _al2_0 "," _al2_1 "," _ah2_0 "," _ah2_1
+                         "}, [%[a],:128]!" "\n\t" VOP3(vadd.i32, _as2, _al2,
+                                                       _ah2)
+                         VMAC(vmull.s32, _a0b, _as0_1, _bs2_1,
+                              0) VMAC(vmlal.s32, _a0b, _as2_0, _bs2_0,
+                                      0) VMAC(vmlal.s32, _a0b, _as2_1, _bs0_1,
+                                              0) VMAC(vmlal.s32, _a0b, _as0_0,
+                                                      _bh0_0, 0)
+                         VMAC(vmull.s32, _a1b, _as0_1, _bs2_1,
+                              1) VMAC(vmlal.s32, _a1b, _as2_0, _bs2_0,
+                                      1) VMAC(vmlal.s32, _a1b, _as2_1, _bs0_1,
+                                              1) VMAC(vmlal.s32, _a1b, _as0_0,
+                                                      _bh0_0, 1)
+                         VOP2(vmov, _a0a, _a0b) VMAC(vmlal.s32, _a0a, _ah0_1,
+                                                     _bh2_1, 0) VMAC(vmlal.s32,
+                                                                     _a0a,
+                                                                     _ah2_0,
+                                                                     _bh2_0,
+                                                                     0)
+                         VMAC(vmlal.s32, _a0a, _ah2_1, _bh0_1,
+                              0) VMAC(vmlal.s32, _a0a, _ah0_0, _bl0_0, 0)
+                         VMAC(vmlsl.s32, _a0b, _al0_1, _bl2_1,
+                              0) VMAC(vmlsl.s32, _a0b, _al2_0, _bl2_0,
+                                      0) VMAC(vmlsl.s32, _a0b, _al2_1, _bl0_1,
+                                              0) VMAC(vmlal.s32, _a0b, _al0_0,
+                                                      _bs0_0, 0)
+                         VOP2(vmov, _a1a, _a1b) VMAC(vmlal.s32, _a1a, _ah0_1,
+                                                     _bh2_1, 1) VMAC(vmlal.s32,
+                                                                     _a1a,
+                                                                     _ah2_0,
+                                                                     _bh2_0,
+                                                                     1)
+                         VMAC(vmlal.s32, _a1a, _ah2_1, _bh0_1,
+                              1) VMAC(vmlal.s32, _a1a, _ah0_0, _bl0_0, 1)
+                         VOP2(vswp, _a0b_1, _a0a_0)
+                         VMAC(vmlsl.s32, _a1b, _al0_1, _bl2_1, 1)
+                         VMAC(vmlsl.s32, _a1b, _al2_0, _bl2_0, 1)
+                         VMAC(vmlsl.s32, _a1b, _al2_1, _bl0_1, 1)
+                         VMAC(vmlal.s32, _a1b, _al0_0, _bs0_0, 1)
+                         VOP3(vsra.u64, _a0a, _a0b, "#28")
+                         VOP3(vsub.i32, _bs0_1, _bl0_1, _bh0_1)
+                         VOP2(vmovn.i64, _a0b_0, _a0b)
+                         VOP2(vswp, _a1b_1, _a1a_0)
+                         VOP3(vadd.i64, _a1b, _a0a, _a1b)
+                         VMAC(vmull.s32, _a0a, _as2_0, _bs2_1, 0)
+                         VOP2(vmovn.i64, _a0b_1, _a1b)
+                         VMAC(vmlal.s32, _a0a, _as2_1, _bs2_0, 0)
+                         VOP3(vsra.u64, _a1a, _a1b, "#28")
+                         VMAC(vmlal.s32, _a0a, _as0_0, _bh0_1, 0)
+                         VOP2(vbic.i32, _a0b, "#0xf0000000")
+                         VMAC(vmlal.s32, _a0a, _as0_1, _bh0_0, 0)
+                         "vstmia %[c]!, {" _a0b_0 ", " _a0b_1 "}" "\n\t"
+                         VMAC(vmull.s32, _a1b, _as2_0, _bs2_1, 1)
+                         VMAC(vmlal.s32, _a1b, _as2_1, _bs2_0, 1)
+                         VMAC(vmlal.s32, _a1b, _as0_0, _bh0_1, 1)
+                         VMAC(vmlal.s32, _a1b, _as0_1, _bh0_0, 1)
+                         VOP2(vmov, _a0b_1, _a0a_1)
+                         VOP3(vadd.i64, _a0b_0, _a0a_0, _a1a_0)
+                         VOP3(vadd.i64, _a0a_0, _a0a_0, _a1a_1)
+                         VMAC(vmlal.s32, _a0a, _ah2_0, _bh2_1, 0)
+                         VMAC(vmlal.s32, _a0a, _ah2_1, _bh2_0, 0)
+                         VMAC(vmlal.s32, _a0a, _ah0_0, _bl0_1, 0)
+                         VMAC(vmlal.s32, _a0a, _ah0_1, _bl0_0, 0)
+                         VMAC(vmlsl.s32, _a0b, _al2_0, _bl2_1, 0)
+                         VMAC(vmlsl.s32, _a0b, _al2_1, _bl2_0, 0)
+                         VMAC(vmlal.s32, _a0b, _al0_0, _bs0_1, 0)
+                         VMAC(vmlal.s32, _a0b, _al0_1, _bs0_0, 0)
+                         VOP2(vmov, _a1a, _a1b)
+                         VMAC(vmlal.s32, _a1a, _ah2_0, _bh2_1, 1)
+                         VMAC(vmlal.s32, _a1a, _ah2_1, _bh2_0, 1)
+                         VMAC(vmlal.s32, _a1a, _ah0_0, _bl0_1, 1)
+                         VMAC(vmlal.s32, _a1a, _ah0_1, _bl0_0, 1)
+                         VOP2(vswp, _a0b_1, _a0a_0)
+                         VMAC(vmlsl.s32, _a1b, _al2_0, _bl2_1, 1)
+                         VMAC(vmlsl.s32, _a1b, _al2_1, _bl2_0, 1)
+                         VMAC(vmlal.s32, _a1b, _al0_0, _bs0_1, 1)
+                         VMAC(vmlal.s32, _a1b, _al0_1, _bs0_0, 1)
+                         VOP3(vsra.u64, _a0a, _a0b, "#28")
+                         VOP3(vsub.i32, _bs2_0, _bl2_0, _bh2_0)
+                         VOP2(vmovn.i64, _a0b_0, _a0b)
+                         VOP2(vswp, _a1b_1, _a1a_0)
+                         VOP3(vadd.i64, _a1b, _a0a, _a1b)
+                         VMAC(vmull.s32, _a0a, _as2_1, _bs2_1, 0)
+                         VOP2(vmovn.i64, _a0b_1, _a1b)
+                         VMAC(vmlal.s32, _a0a, _as0_0, _bh2_0, 0)
+                         VOP3(vsra.u64, _a1a, _a1b, "#28")
+                         VMAC(vmlal.s32, _a0a, _as0_1, _bh0_1, 0)
+                         VOP2(vbic.i32, _a0b, "#0xf0000000")
+                         VMAC(vmlal.s32, _a0a, _as2_0, _bh0_0, 0)
+                         "vstmia %[c]!, {" _a0b_0 ", " _a0b_1 "}" "\n\t"
+                         VMAC(vmull.s32, _a1b, _as2_1, _bs2_1, 1)
+                         VMAC(vmlal.s32, _a1b, _as0_0, _bh2_0, 1)
+                         VMAC(vmlal.s32, _a1b, _as0_1, _bh0_1, 1)
+                         VMAC(vmlal.s32, _a1b, _as2_0, _bh0_0, 1)
+                         VOP2(vmov, _a0b_1, _a0a_1)
+                         VOP3(vadd.i64, _a0b_0, _a0a_0, _a1a_0)
+                         VOP3(vadd.i64, _a0a_0, _a0a_0, _a1a_1)
+                         VMAC(vmlal.s32, _a0a, _ah2_1, _bh2_1, 0)
+                         VMAC(vmlal.s32, _a0a, _ah0_0, _bl2_0, 0)
+                         VMAC(vmlal.s32, _a0a, _ah0_1, _bl0_1, 0)
+                         VMAC(vmlal.s32, _a0a, _ah2_0, _bl0_0, 0)
+                         VMAC(vmlsl.s32, _a0b, _al2_1, _bl2_1, 0)
+                         VMAC(vmlal.s32, _a0b, _al0_0, _bs2_0, 0)
+                         VMAC(vmlal.s32, _a0b, _al0_1, _bs0_1, 0)
+                         VMAC(vmlal.s32, _a0b, _al2_0, _bs0_0, 0)
+                         VOP2(vmov, _a1a, _a1b)
+                         VMAC(vmlal.s32, _a1a, _ah2_1, _bh2_1, 1)
+                         VMAC(vmlal.s32, _a1a, _ah0_0, _bl2_0, 1)
+                         VMAC(vmlal.s32, _a1a, _ah0_1, _bl0_1, 1)
+                         VMAC(vmlal.s32, _a1a, _ah2_0, _bl0_0, 1)
+                         VOP2(vswp, _a0b_1, _a0a_0)
+                         VMAC(vmlsl.s32, _a1b, _al2_1, _bl2_1, 1)
+                         VMAC(vmlal.s32, _a1b, _al0_0, _bs2_0, 1)
+                         VMAC(vmlal.s32, _a1b, _al0_1, _bs0_1, 1)
+                         VMAC(vmlal.s32, _a1b, _al2_0, _bs0_0, 1)
+                         VOP3(vsub.i32, _bs2_1, _bl2_1, _bh2_1)
+                         VOP3(vsra.u64, _a0a, _a0b, "#28")
+                         VOP2(vmovn.i64, _a0b_0, _a0b)
+                         VOP2(vswp, _a1b_1, _a1a_0)
+                         VOP3(vadd.i64, _a1b, _a0a, _a1b)
+                         VMAC(vmull.s32, _a0a, _as0_0, _bh2_1, 0)
+                         VOP2(vmovn.i64, _a0b_1, _a1b)
+                         VMAC(vmlal.s32, _a0a, _as0_1, _bh2_0, 0)
+                         VOP3(vsra.u64, _a1a, _a1b, "#28")
+                         VMAC(vmlal.s32, _a0a, _as2_0, _bh0_1, 0)
+                         VOP2(vbic.i32, _a0b, "#0xf0000000")
+                         VMAC(vmlal.s32, _a0a, _as2_1, _bh0_0, 0)
+                         "vstmia %[c]!, {" _a0b_0 ", " _a0b_1 "}" "\n\t"
+                         VMAC(vmull.s32, _a1b, _as0_0, _bh2_1, 1)
+                         VMAC(vmlal.s32, _a1b, _as0_1, _bh2_0, 1)
+                         VMAC(vmlal.s32, _a1b, _as2_0, _bh0_1, 1)
+                         VMAC(vmlal.s32, _a1b, _as2_1, _bh0_0, 1)
+                         VOP2(vmov, _a0b_1, _a0a_1)
+                         VOP3(vadd.i64, _a0b_0, _a0a_0, _a1a_0)
+                         VOP3(vadd.i64, _a0a_0, _a0a_0, _a1a_1)
+                         VMAC(vmlal.s32, _a0a, _ah0_0, _bl2_1, 0)
+                         VMAC(vmlal.s32, _a0a, _ah0_1, _bl2_0, 0)
+                         VMAC(vmlal.s32, _a0a, _ah2_0, _bl0_1, 0)
+                         VMAC(vmlal.s32, _a0a, _ah2_1, _bl0_0, 0)
+                         VMAC(vmlal.s32, _a0b, _al0_0, _bs2_1, 0)
+                         VMAC(vmlal.s32, _a0b, _al0_1, _bs2_0, 0)
+                         VMAC(vmlal.s32, _a0b, _al2_0, _bs0_1, 0)
+                         VMAC(vmlal.s32, _a0b, _al2_1, _bs0_0, 0)
+                         VOP2(vmov, _a1a, _a1b)
+                         VMAC(vmlal.s32, _a1a, _ah0_0, _bl2_1, 1)
+                         VMAC(vmlal.s32, _a1a, _ah0_1, _bl2_0, 1)
+                         VMAC(vmlal.s32, _a1a, _ah2_0, _bl0_1, 1)
+                         VMAC(vmlal.s32, _a1a, _ah2_1, _bl0_0, 1)
+                         VOP2(vswp, _a0b_1, _a0a_0)
+                         VMAC(vmlal.s32, _a1b, _al0_0, _bs2_1, 1)
+                         VMAC(vmlal.s32, _a1b, _al0_1, _bs2_0, 1)
+                         VMAC(vmlal.s32, _a1b, _al2_0, _bs0_1, 1)
+                         VMAC(vmlal.s32, _a1b, _al2_1, _bs0_0, 1)
+                         VOP3(vsra.u64, _a0a, _a0b, "#28")
+                         VOP2(vmovn.i64, _a0b_0, _a0b)
+                         VOP2(vswp, _a1b_1, _a1a_0)
+                         VOP3(vadd.i64, _a0a, _a0a, _a1b)
+                         VOP2(vmovn.i64, _a0b_1, _a0a)
+                         VOP3(vsra.u64, _a1a, _a0a, "#28")
+                         VOP2(vbic.i32, _a0b, "#0xf0000000")
+                         VOP2(vswp, _a1a_0, _a1a_1)
+                         "vstmia %[c]!, {" _a0b_0 ", " _a0b_1 "}" "\n\t"
+                         "sub %[c], #64" "\n\t"
+                         VOP3(vadd.i64, _a1a_1, _a1a_1, _a1a_0)
+                         "vldmia %[c], {" _a0a_0 ", " _a0a_1 ", " _a0b_0 "}"
+                         "\n\t" VOP2(vaddw.s32, _a1a, _a0a_0) VOP2(vmovn.i64,
+                                                                   _a0a_0,
+                                                                   _a1a)
+                         VOP2(vshr.s64, _a1a, "#28")
+                         VOP2(vaddw.s32, _a1a, _a0a_1) VOP2(vmovn.i64, _a0a_1,
+                                                            _a1a) VOP2(vshr.s64,
+                                                                       _a1a,
+                                                                       "#28")
+                         VOP2(vbic.i32, _a0a, "#0xf0000000")
+                         VOP2(vaddw.s32, _a1a, _a0b_0)
+                         VOP2(vmovn.i64, _a0b_0, _a1a)
+                         "vstmia %[c], {" _a0a_0 ", " _a0a_1 ", " _a0b_0 "}"
+                         "\n\t":[a] "+r"(as)
+                         ,[b] "+r"(bs)
+                         ,[c] "+r"(vc)
+
+                         ::"q0", "q1", "q2", "q3",
+                         "q4", "q5", "q6", "q7",
+                         "q8", "q9", "q10", "q11",
+                         "q12", "q13", "q14", "q15", "memory");
 }
 
-void gf_sqr (gf_s *__restrict__ cs, const gf bs) {
-    int32x2_t *vc = (int32x2_t*) cs->limb;
-
-    __asm__ __volatile__ (
-        "vld2.32 {"_bl0_0","_bl0_1","_bh0_0","_bh0_1"}, [%[b],:128]!" "\n\t"
-        VOP3(vadd.i32,_bs0_1,_bl0_1,_bh0_1) /* 0 .. 2^30 */
-        VOP3(vsub.i32,_bs0_0,_bl0_0,_bh0_0) /* +- 2^29 */
-        VOP3(vadd.i32,_as0,_bl0,_bh0)       /* 0 .. 2^30 */
-            
-        "vld2.32 {"_bl2_0","_bl2_1","_bh2_0","_bh2_1"}, [%[b],:128]!" "\n\t"
-        VOP3(vadd.i32,_bs2,_bl2,_bh2)       /* 0 .. 2^30 */
-        VOP2(vmov,_as2,_bs2)
-        
-        VMAC(vqdmull.s32,_a0b,_as0_1,_bs2_1,0) /* 0 .. 8 * 2^58.  danger for vqdmlal is 32 */
-        VMAC(vmlal.s32,_a0b,_as2_0,_bs2_0,0)   /* 0 .. 12 */
-        VMAC(vmlal.s32,_a0b,_as0_0,_bh0_0,0)   /* 0 .. 14 */
-            
-        VMAC(vqdmull.s32,_a1b,_as0_1,_bs2_1,1) /* 0 .. 8 */
-        VMAC(vmlal.s32,_a1b,_as2_0,_bs2_0,1)   /* 0 .. 14 */
-        VMAC(vmlal.s32,_a1b,_as0_0,_bh0_0,1)   /* 0 .. 16 */
-            
-        VOP2(vmov,_a0a,_a0b)                   /* 0 .. 14 */
-        VMAC(vqdmlal.s32,_a0a,_bh0_1,_bh2_1,0) /* 0 .. 16 */
-        VMAC(vmlal.s32,_a0a,_bh2_0,_bh2_0,0)   /* 0 .. 17 */
-        VMAC(vmlal.s32,_a0a,_bh0_0,_bl0_0,0)   /* 0 .. 18 */
-            
-        VMAC(vqdmlsl.s32,_a0b,_bl0_1,_bl2_1,0) /*-2 .. 14 */
-        VMAC(vmlsl.s32,_a0b,_bl2_0,_bl2_0,0)   /*-3 .. 14 */
-        VMAC(vmlal.s32,_a0b,_bl0_0,_bs0_0,0)   /*-4 .. 15 */
-            
-        VOP2(vmov,_a1a,_a1b)
-        VMAC(vqdmlal.s32,_a1a,_bh0_1,_bh2_1,1) /* 0 .. 18 */
-        VMAC(vmlal.s32,_a1a,_bh2_0,_bh2_0,1)   /* 0 .. 19 */
-        VMAC(vmlal.s32,_a1a,_bh0_0,_bl0_0,1)   /* 0 .. 20 */
-            
-            VOP2(vswp,_a0b_1,_a0a_0)
-            
-        VMAC(vqdmlsl.s32,_a1b,_bl0_1,_bl2_1,1) /*-2 .. 16 */
-        VMAC(vmlsl.s32,_a1b,_bl2_0,_bl2_0,1)   /*-3 .. 16 */
-        VMAC(vmlal.s32,_a1b,_bl0_0,_bs0_0,1)   /*-4 .. 17 */
-                
-            VOP3(vsra.u64,_a0a,_a0b,"#28")
-            VOP3(vsub.i32,_bs0_1,_bl0_1,_bh0_1)
-            VOP2(vmovn.i64,_a0b_0,_a0b)
-                
-            VOP2(vswp,_a1b_1,_a1a_0)
-            VOP3(vadd.i64,_a1b,_a0a,_a1b)
-                    
-                    
-        VMAC(vqdmull.s32,_a0a,_as2_0,_bs2_1,0) /* 0 .. 8 */
-            VOP2(vmovn.i64,_a0b_1,_a1b)
-            VOP3(vsra.u64,_a1a,_a1b,"#28")
-        VMAC(vqdmlal.s32,_a0a,_as0_0,_bh0_1,0) /* 0 .. 12 */
-            VOP2(vbic.i32,_a0b,"#0xf0000000")
-            "vstmia %[c]!, {"_a0b_0", "_a0b_1"}" "\n\t"
-                    
-        VMAC(vqdmull.s32,_a1b,_as2_0,_bs2_1,1) /* 0 .. 8 */
-        VMAC(vqdmlal.s32,_a1b,_as0_0,_bh0_1,1) /* 0 .. 12 */
-
-        VOP2(vmov,_a0b,_a0a)               /* 0 .. 12 */
-        VMAC(vqdmlal.s32,_a0a,_bh2_0,_bh2_1,0) /* 0 .. 14 */
-        VMAC(vqdmlal.s32,_a0a,_bh0_0,_bl0_1,0) /* 0 .. 16 */
-
-        VMAC(vqdmlsl.s32,_a0b,_bl2_0,_bl2_1,0) /*-2 .. 12 */
-        VMAC(vqdmlal.s32,_a0b,_bl0_0,_bs0_1,0) /*-4 .. 14 */
-        VOP3(vadd.i64,_a0a_0,_a0a_0,_a1a_1)
-        VOP3(vadd.i64,_a0b_0,_a0b_0,_a1a_0)
-
-        VOP2(vmov,_a1a,_a1b)                   /* 0 .. 12 */
-        VMAC(vqdmlal.s32,_a1a,_bh2_0,_bh2_1,1) /* 0 .. 14 */
-        VMAC(vqdmlal.s32,_a1a,_bh0_0,_bl0_1,1) /* 0 .. 16 */
-
-            VOP2(vswp,_a0b_1,_a0a_0)
-
-        VMAC(vqdmlsl.s32,_a1b,_bl2_0,_bl2_1,1) /*-2 .. 12 */
-        VMAC(vqdmlal.s32,_a1b,_bl0_0,_bs0_1,1) /*-4 .. 14 */
-                                        
-            VOP3(vsra.u64,_a0a,_a0b,"#28")
-            VOP3(vsub.i32,_bs2_0,_bl2_0,_bh2_0)
-            VOP2(vmovn.i64,_a0b_0,_a0b)
-                        
-            VOP2(vswp,_a1b_1,_a1a_0)
-            VOP3(vadd.i64,_a1b,_a0a,_a1b)
-
-        VMAC(vmull.s32,_a0a,_as2_1,_bs2_1,0)
-            VOP2(vmovn.i64,_a0b_1,_a1b)
-        VMAC(vqdmlal.s32,_a0a,_as0_0,_bh2_0,0)
-            VOP3(vsra.u64,_a1a,_a1b,"#28")
-        VMAC(vmlal.s32,_a0a,_as0_1,_bh0_1,0)
-            VOP2(vbic.i32,_a0b,"#0xf0000000")
-            "vstmia %[c]!, {"_a0b_0", "_a0b_1"}" "\n\t"
-
-        VMAC(vmull.s32,_a1b,_as2_1,_bs2_1,1)
-        VMAC(vqdmlal.s32,_a1b,_as0_0,_bh2_0,1)
-        VMAC(vmlal.s32,_a1b,_as0_1,_bh0_1,1)
-
-        VOP2(vmov,_a0b_1,_a0a_1)
-        VOP3(vadd.i64,_a0b_0,_a0a_0,_a1a_0)
-        VOP3(vadd.i64,_a0a_0,_a0a_0,_a1a_1)
-        VMAC(vmlal.s32,_a0a,_bh2_1,_bh2_1,0)
-        VMAC(vqdmlal.s32,_a0a,_bh0_0,_bl2_0,0)
-        VMAC(vmlal.s32,_a0a,_bh0_1,_bl0_1,0)
-
-        VMAC(vmlsl.s32,_a0b,_bl2_1,_bl2_1,0)
-        VMAC(vqdmlal.s32,_a0b,_bl0_0,_bs2_0,0)
-        VMAC(vmlal.s32,_a0b,_bl0_1,_bs0_1,0)
-
-        VOP2(vmov,_a1a,_a1b)
-        VMAC(vmlal.s32,_a1a,_bh2_1,_bh2_1,1)
-        VMAC(vqdmlal.s32,_a1a,_bh0_0,_bl2_0,1)
-        VMAC(vmlal.s32,_a1a,_bh0_1,_bl0_1,1)
-
-            VOP2(vswp,_a0b_1,_a0a_0)
-
-        VMAC(vmlsl.s32,_a1b,_bl2_1,_bl2_1,1)
-        VMAC(vqdmlal.s32,_a1b,_bl0_0,_bs2_0,1)
-        VMAC(vmlal.s32,_a1b,_bl0_1,_bs0_1,1)
-                                                                
-            VOP3(vsub.i32,_bs2_1,_bl2_1,_bh2_1)
-            VOP3(vsra.u64,_a0a,_a0b,"#28")
-            VOP2(vmovn.i64,_a0b_0,_a0b)
-                        
-            VOP2(vswp,_a1b_1,_a1a_0)
-            VOP3(vadd.i64,_a1b,_a0a,_a1b)
-
-        VMAC(vqdmull.s32,_a0a,_as0_0,_bh2_1,0)
-            VOP2(vmovn.i64,_a0b_1,_a1b)
-            VOP3(vsra.u64,_a1a,_a1b,"#28")
-        VMAC(vqdmlal.s32,_a0a,_as2_0,_bh0_1,0)
-            VOP2(vbic.i32,_a0b,"#0xf0000000")
-            "vstmia %[c]!, {"_a0b_0", "_a0b_1"}" "\n\t"
-
-        VMAC(vqdmull.s32,_a1b,_as0_0,_bh2_1,1)
-        VMAC(vqdmlal.s32,_a1b,_as2_0,_bh0_1,1)
-
-        VOP2(vmov,_a0b_1,_a0a_1)
-        VOP3(vadd.i64,_a0b_0,_a0a_0,_a1a_0)
-        VOP3(vadd.i64,_a0a_0,_a0a_0,_a1a_1)
-        VMAC(vqdmlal.s32,_a0a,_bh0_0,_bl2_1,0)
-        VMAC(vqdmlal.s32,_a0a,_bh2_0,_bl0_1,0)
-
-        VMAC(vqdmlal.s32,_a0b,_bl0_0,_bs2_1,0)
-        VMAC(vqdmlal.s32,_a0b,_bl2_0,_bs0_1,0)
-
-        VOP2(vmov,_a1a,_a1b)
-        VMAC(vqdmlal.s32,_a1a,_bh0_0,_bl2_1,1)
-        VMAC(vqdmlal.s32,_a1a,_bh2_0,_bl0_1,1)
-
-            VOP2(vswp,_a0b_1,_a0a_0)
-
-        VMAC(vqdmlal.s32,_a1b,_bl0_0,_bs2_1,1)
-        VMAC(vqdmlal.s32,_a1b,_bl2_0,_bs0_1,1)
-                        
-            VOP3(vsra.u64,_a0a,_a0b,"#28")
-            VOP2(vmovn.i64,_a0b_0,_a0b)
-                                                                                            
-            VOP2(vswp,_a1b_1,_a1a_0)
-            VOP3(vadd.i64,_a0a,_a0a,_a1b)
-
-            VOP2(vmovn.i64,_a0b_1,_a0a)
-            VOP3(vsra.u64,_a1a,_a0a,"#28")
-                                                                                            
-            VOP2(vbic.i32,_a0b,"#0xf0000000") 
-                                                                                            
-        VOP2(vswp,_a1a_0,_a1a_1)
-                                                                                            
-            "vstmia %[c]!, {"_a0b_0", "_a0b_1"}" "\n\t"  
-            "sub %[c], #64" "\n\t"
-                                                                                                
-        VOP3(vadd.i64,_a1a_1,_a1a_1,_a1a_0)
-        
-            "vldmia %[c], {"_a0a_0", "_a0a_1", "_a0b_0"}" "\n\t"
-            VOP2(vaddw.s32,_a1a,_a0a_0)
-            VOP2(vmovn.i64,_a0a_0,_a1a)
-            VOP2(vshr.s64,_a1a,"#28")
-                                                
-            VOP2(vaddw.s32,_a1a,_a0a_1)
-            VOP2(vmovn.i64,_a0a_1,_a1a)
-            VOP2(vshr.s64,_a1a,"#28")
-                                                                                                    
-            VOP2(vbic.i32,_a0a,"#0xf0000000")
-                                                
-            VOP2(vaddw.s32,_a1a,_a0b_0) 
-            VOP2(vmovn.i64,_a0b_0,_a1a)
-            
-            "vstmia %[c], {"_a0a_0", "_a0a_1", "_a0b_0"}" "\n\t"
-        
-        : [b]"+r"(bs)
-        , [c]"+r"(vc)
-                            
-        :: "q0","q1","q2","q3",
-            "q4","q5","q6","q7",
-            "q12","q13","q14","q15",
-            "memory"
-    );
+void gf_sqr(gf_s * __restrict__ cs, const gf bs)
+{
+    int32x2_t *vc = (int32x2_t *) cs->limb;
+
+    __asm__ __volatile__("vld2.32 {" _bl0_0 "," _bl0_1 "," _bh0_0 "," _bh0_1 "}, [%[b],:128]!" "\n\t" VOP3(vadd.i32, _bs0_1, _bl0_1, _bh0_1) /* 0
+                                                                                                                                              * *
+                                                                                                                                              * ..
+                                                                                                                                              * *
+                                                                                                                                              * 2^30 */ VOP3(vsub.i32, _bs0_0, _bl0_0, _bh0_0)
+                         /* +- 2^29 */
+                         VOP3(vadd.i32, _as0, _bl0, _bh0)
+                         /*
+                          * 0 .. 2^30
+                          */
+                         "vld2.32 {" _bl2_0 "," _bl2_1 "," _bh2_0 "," _bh2_1 "}, [%[b],:128]!" "\n\t" VOP3(vadd.i32, _bs2, _bl2, _bh2) /* 0
+                                                                                                                                        * *
+                                                                                                                                        * ..
+                                                                                                                                        * *
+                                                                                                                                        * 2^30 */
+                         VOP2(vmov, _as2, _bs2)
+
+                         VMAC(vqdmull.s32, _a0b, _as0_1, _bs2_1, 0) /* 0 .. 8 *
+                                                                     * * 2^58. *
+                                                                     * danger *
+                                                                     * for *
+                                                                     * vqdmlal *
+                                                                     * is 32 */
+                         VMAC(vmlal.s32, _a0b, _as2_0, _bs2_0, 0) /* 0 .. 12 */
+                         VMAC(vmlal.s32, _a0b, _as0_0, _bh0_0, 0)
+                         /*
+                          * 0 .. 14
+                          */
+                         VMAC(vqdmull.s32, _a1b, _as0_1, _bs2_1, 1) /* 0 .. 8 */
+                         VMAC(vmlal.s32, _a1b, _as2_0, _bs2_0, 1) /* 0 .. 14 */
+                         VMAC(vmlal.s32, _a1b, _as0_0, _bh0_0, 1)
+                         /*
+                          * 0 .. 16
+                          */
+                         VOP2(vmov, _a0a, _a0b) /* 0 .. 14 */
+                         VMAC(vqdmlal.s32, _a0a, _bh0_1, _bh2_1, 0) /* 0 .. 16 */
+                         VMAC(vmlal.s32, _a0a, _bh2_0, _bh2_0, 0) /* 0 .. 17 */
+                         VMAC(vmlal.s32, _a0a, _bh0_0, _bl0_0, 0)
+                         /*
+                          * 0 .. 18
+                          */
+                         VMAC(vqdmlsl.s32, _a0b, _bl0_1, _bl2_1, 0)
+                         /*
+                          * 2 .. 14
+                          */
+                         VMAC(vmlsl.s32, _a0b, _bl2_0, _bl2_0, 0)
+                         /*
+                          * 3 .. 14
+                          */
+                         VMAC(vmlal.s32, _a0b, _bl0_0, _bs0_0, 0)
+                         /*
+                          * 4 .. 15
+                          */
+                         VOP2(vmov, _a1a, _a1b)
+                         VMAC(vqdmlal.s32, _a1a, _bh0_1, _bh2_1, 1) /* 0 .. 18 */
+                         VMAC(vmlal.s32, _a1a, _bh2_0, _bh2_0, 1) /* 0 .. 19 */
+                         VMAC(vmlal.s32, _a1a, _bh0_0, _bl0_0, 1)
+                         /*
+                          * 0 .. 20
+                          */
+                         VOP2(vswp, _a0b_1, _a0a_0)
+
+                         VMAC(vqdmlsl.s32, _a1b, _bl0_1, _bl2_1, 1)
+                         /*
+                          * 2 .. 16
+                          */
+                         VMAC(vmlsl.s32, _a1b, _bl2_0, _bl2_0, 1)
+                         /*
+                          * 3 .. 16
+                          */
+                         VMAC(vmlal.s32, _a1b, _bl0_0, _bs0_0, 1)
+                         /*
+                          * 4 .. 17
+                          */
+                         VOP3(vsra.u64, _a0a, _a0b, "#28")
+                         VOP3(vsub.i32, _bs0_1, _bl0_1, _bh0_1)
+                         VOP2(vmovn.i64, _a0b_0, _a0b)
+
+                         VOP2(vswp, _a1b_1, _a1a_0)
+                         VOP3(vadd.i64, _a1b, _a0a, _a1b)
+
+                         VMAC(vqdmull.s32, _a0a, _as2_0, _bs2_1, 0) /* 0 .. 8 */
+                         VOP2(vmovn.i64, _a0b_1, _a1b)
+                         VOP3(vsra.u64, _a1a, _a1b, "#28")
+                         VMAC(vqdmlal.s32, _a0a, _as0_0, _bh0_1, 0) /* 0 .. 12 */
+                         VOP2(vbic.i32, _a0b, "#0xf0000000")
+                         "vstmia %[c]!, {" _a0b_0 ", " _a0b_1 "}" "\n\t" VMAC(vqdmull.s32, _a1b, _as2_0, _bs2_1, 1) /* 0
+                                                                                                                     * *
+                                                                                                                     * ..
+                                                                                                                     * * 8 */
+                         VMAC(vqdmlal.s32, _a1b, _as0_0, _bh0_1, 1)
+                         /*
+                          * 0 .. 12
+                          */
+                         VOP2(vmov, _a0b, _a0a) /* 0 .. 12 */
+                         VMAC(vqdmlal.s32, _a0a, _bh2_0, _bh2_1, 0) /* 0 .. 14 */
+                         VMAC(vqdmlal.s32, _a0a, _bh0_0, _bl0_1, 0)
+                         /*
+                          * 0 .. 16
+                          */
+                         VMAC(vqdmlsl.s32, _a0b, _bl2_0, _bl2_1, 0)
+                         /*
+                          * 2 .. 12
+                          */
+                         VMAC(vqdmlal.s32, _a0b, _bl0_0, _bs0_1, 0)
+                         /*
+                          * 4 .. 14
+                          */
+                         VOP3(vadd.i64, _a0a_0, _a0a_0, _a1a_1)
+                         VOP3(vadd.i64, _a0b_0, _a0b_0, _a1a_0)
+
+                         VOP2(vmov, _a1a, _a1b) /* 0 .. 12 */
+                         VMAC(vqdmlal.s32, _a1a, _bh2_0, _bh2_1, 1) /* 0 .. 14 */
+                         VMAC(vqdmlal.s32, _a1a, _bh0_0, _bl0_1, 1)
+                         /*
+                          * 0 .. 16
+                          */
+                         VOP2(vswp, _a0b_1, _a0a_0)
+
+                         VMAC(vqdmlsl.s32, _a1b, _bl2_0, _bl2_1, 1)
+                         /*
+                          * 2 .. 12
+                          */
+                         VMAC(vqdmlal.s32, _a1b, _bl0_0, _bs0_1, 1)
+                         /*
+                          * 4 .. 14
+                          */
+                         VOP3(vsra.u64, _a0a, _a0b, "#28")
+                         VOP3(vsub.i32, _bs2_0, _bl2_0, _bh2_0)
+                         VOP2(vmovn.i64, _a0b_0, _a0b)
+
+                         VOP2(vswp, _a1b_1, _a1a_0)
+                         VOP3(vadd.i64, _a1b, _a0a, _a1b)
+
+                         VMAC(vmull.s32, _a0a, _as2_1, _bs2_1, 0)
+                         VOP2(vmovn.i64, _a0b_1, _a1b)
+                         VMAC(vqdmlal.s32, _a0a, _as0_0, _bh2_0, 0)
+                         VOP3(vsra.u64, _a1a, _a1b, "#28")
+                         VMAC(vmlal.s32, _a0a, _as0_1, _bh0_1, 0)
+                         VOP2(vbic.i32, _a0b, "#0xf0000000")
+                         "vstmia %[c]!, {" _a0b_0 ", " _a0b_1 "}" "\n\t"
+                         VMAC(vmull.s32, _a1b, _as2_1, _bs2_1, 1)
+                         VMAC(vqdmlal.s32, _a1b, _as0_0, _bh2_0, 1)
+                         VMAC(vmlal.s32, _a1b, _as0_1, _bh0_1, 1)
+
+                         VOP2(vmov, _a0b_1, _a0a_1)
+                         VOP3(vadd.i64, _a0b_0, _a0a_0, _a1a_0)
+                         VOP3(vadd.i64, _a0a_0, _a0a_0, _a1a_1)
+                         VMAC(vmlal.s32, _a0a, _bh2_1, _bh2_1, 0)
+                         VMAC(vqdmlal.s32, _a0a, _bh0_0, _bl2_0, 0)
+                         VMAC(vmlal.s32, _a0a, _bh0_1, _bl0_1, 0)
+
+                         VMAC(vmlsl.s32, _a0b, _bl2_1, _bl2_1, 0)
+                         VMAC(vqdmlal.s32, _a0b, _bl0_0, _bs2_0, 0)
+                         VMAC(vmlal.s32, _a0b, _bl0_1, _bs0_1, 0)
+
+                         VOP2(vmov, _a1a, _a1b)
+                         VMAC(vmlal.s32, _a1a, _bh2_1, _bh2_1, 1)
+                         VMAC(vqdmlal.s32, _a1a, _bh0_0, _bl2_0, 1)
+                         VMAC(vmlal.s32, _a1a, _bh0_1, _bl0_1, 1)
+
+                         VOP2(vswp, _a0b_1, _a0a_0)
+
+                         VMAC(vmlsl.s32, _a1b, _bl2_1, _bl2_1, 1)
+                         VMAC(vqdmlal.s32, _a1b, _bl0_0, _bs2_0, 1)
+                         VMAC(vmlal.s32, _a1b, _bl0_1, _bs0_1, 1)
+
+                         VOP3(vsub.i32, _bs2_1, _bl2_1, _bh2_1)
+                         VOP3(vsra.u64, _a0a, _a0b, "#28")
+                         VOP2(vmovn.i64, _a0b_0, _a0b)
+
+                         VOP2(vswp, _a1b_1, _a1a_0)
+                         VOP3(vadd.i64, _a1b, _a0a, _a1b)
+
+                         VMAC(vqdmull.s32, _a0a, _as0_0, _bh2_1, 0)
+                         VOP2(vmovn.i64, _a0b_1, _a1b)
+                         VOP3(vsra.u64, _a1a, _a1b, "#28")
+                         VMAC(vqdmlal.s32, _a0a, _as2_0, _bh0_1, 0)
+                         VOP2(vbic.i32, _a0b, "#0xf0000000")
+                         "vstmia %[c]!, {" _a0b_0 ", " _a0b_1 "}" "\n\t"
+                         VMAC(vqdmull.s32, _a1b, _as0_0, _bh2_1, 1)
+                         VMAC(vqdmlal.s32, _a1b, _as2_0, _bh0_1, 1)
+
+                         VOP2(vmov, _a0b_1, _a0a_1)
+                         VOP3(vadd.i64, _a0b_0, _a0a_0, _a1a_0)
+                         VOP3(vadd.i64, _a0a_0, _a0a_0, _a1a_1)
+                         VMAC(vqdmlal.s32, _a0a, _bh0_0, _bl2_1, 0)
+                         VMAC(vqdmlal.s32, _a0a, _bh2_0, _bl0_1, 0)
+
+                         VMAC(vqdmlal.s32, _a0b, _bl0_0, _bs2_1, 0)
+                         VMAC(vqdmlal.s32, _a0b, _bl2_0, _bs0_1, 0)
+
+                         VOP2(vmov, _a1a, _a1b)
+                         VMAC(vqdmlal.s32, _a1a, _bh0_0, _bl2_1, 1)
+                         VMAC(vqdmlal.s32, _a1a, _bh2_0, _bl0_1, 1)
+
+                         VOP2(vswp, _a0b_1, _a0a_0)
+
+                         VMAC(vqdmlal.s32, _a1b, _bl0_0, _bs2_1, 1)
+                         VMAC(vqdmlal.s32, _a1b, _bl2_0, _bs0_1, 1)
+
+                         VOP3(vsra.u64, _a0a, _a0b, "#28")
+                         VOP2(vmovn.i64, _a0b_0, _a0b)
+
+                         VOP2(vswp, _a1b_1, _a1a_0)
+                         VOP3(vadd.i64, _a0a, _a0a, _a1b)
+
+                         VOP2(vmovn.i64, _a0b_1, _a0a)
+                         VOP3(vsra.u64, _a1a, _a0a, "#28")
+
+                         VOP2(vbic.i32, _a0b, "#0xf0000000")
+
+                         VOP2(vswp, _a1a_0, _a1a_1)
+
+                         "vstmia %[c]!, {" _a0b_0 ", " _a0b_1 "}" "\n\t"
+                         "sub %[c], #64" "\n\t"
+                         VOP3(vadd.i64, _a1a_1, _a1a_1, _a1a_0)
+
+                         "vldmia %[c], {" _a0a_0 ", " _a0a_1 ", " _a0b_0 "}"
+                         "\n\t" VOP2(vaddw.s32, _a1a, _a0a_0)
+                         VOP2(vmovn.i64, _a0a_0, _a1a)
+                         VOP2(vshr.s64, _a1a, "#28")
+
+                         VOP2(vaddw.s32, _a1a, _a0a_1)
+                         VOP2(vmovn.i64, _a0a_1, _a1a)
+                         VOP2(vshr.s64, _a1a, "#28")
+
+                         VOP2(vbic.i32, _a0a, "#0xf0000000")
+
+                         VOP2(vaddw.s32, _a1a, _a0b_0)
+                         VOP2(vmovn.i64, _a0b_0, _a1a)
+
+                         "vstmia %[c], {" _a0a_0 ", " _a0a_1 ", " _a0b_0 "}"
+                         "\n\t":[b] "+r"(bs)
+                         ,[c] "+r"(vc)
+
+                         ::"q0", "q1", "q2", "q3",
+                         "q4", "q5", "q6", "q7",
+                         "q12", "q13", "q14", "q15", "memory");
 }
 
-void gf_mulw_unsigned (gf_s *__restrict__ cs, const gf as, uint32_t b) { 
-    uint32x2_t vmask = {(1<<28) - 1, (1<<28)-1};
-    assert(b<(1<<28));
-    
+void gf_mulw_unsigned(gf_s * __restrict__ cs, const gf as, uint32_t b)
+{
+    uint32x2_t vmask = { (1 << 28) - 1, (1 << 28) - 1 };
+    assert(b < (1 << 28));
+
     uint64x2_t accum;
-    const uint32x2_t *va = (const uint32x2_t *) as->limb;
+    const uint32x2_t *va = (const uint32x2_t *)as->limb;
     uint32x2_t *vo = (uint32x2_t *) cs->limb;
     uint32x2_t vc, vn;
-    uint32x2_t vb = {b, 0};
-    
+    uint32x2_t vb = { b, 0 };
+
     vc = va[0];
     accum = vmull_lane_u32(vc, vb, 0);
     vo[0] = vmovn_u64(accum) & vmask;
-    accum = vshrq_n_u64(accum,28);
-    
-    /* PERF: the right way to do this is to reduce behind, i.e.
-     * vmull + vmlal round 0
-     * vmull + vmlal round 1
-     * vmull + vmlal round 2
-     * vsraq round 0, 1
-     * vmull + vmlal round 3
-     * vsraq round 1, 2
-     * ...
+    accum = vshrq_n_u64(accum, 28);
+
+    /*
+     * PERF: the right way to do this is to reduce behind, i.e. vmull + vmlal
+     * round 0 vmull + vmlal round 1 vmull + vmlal round 2 vsraq round 0, 1
+     * vmull + vmlal round 3 vsraq round 1, 2 ...
      */
-    
+
     int i;
-    for (i=1; i<8; i++) {
+    for (i = 1; i < 8; i++) {
         vn = va[i];
         accum = vmlal_lane_u32(accum, vn, vb, 0);
         vo[i] = vmovn_u64(accum) & vmask;
-        accum = vshrq_n_u64(accum,28);
+        accum = vshrq_n_u64(accum, 28);
         vc = vn;
     }
-        
+
     accum = xx_vaddup_u64(vrev128_u64(accum));
     accum = vaddw_u32(accum, vo[0]);
     vo[0] = vmovn_u64(accum) & vmask;
-    
-    accum = vshrq_n_u64(accum,28);
+
+    accum = vshrq_n_u64(accum, 28);
     vo[1] += vmovn_u64(accum);
 }
index 744c61fb154f5b5a21b58cbe6e33f8724e24c8f0..676ef1d4441fb5a084021940744cd586d15c4a4a 100644 (file)
 #define USE_NEON_PERM 1
 #define LIMBHI(x) ((x##ull)>>28)
 #define LIMBLO(x) ((x##ull)&((1ull<<28)-1))
-#  define FIELD_LITERAL(a,b,c,d,e,f,g,h) \
+#define FIELD_LITERAL(a,b,c,d,e,f,g,h) \
     {{LIMBLO(a),LIMBLO(e), LIMBHI(a),LIMBHI(e), \
       LIMBLO(b),LIMBLO(f), LIMBHI(b),LIMBHI(f), \
       LIMBLO(c),LIMBLO(g), LIMBHI(c),LIMBHI(g), \
       LIMBLO(d),LIMBLO(h), LIMBHI(d),LIMBHI(h)}}
-    
+
 #define LIMB_PLACE_VALUE(i) 28
 
-void gf_add_RAW (gf out, const gf a, const gf b) {
-    for (unsigned int i=0; i<sizeof(*out)/sizeof(uint32xn_t); i++) {
-        ((uint32xn_t*)out)[i] = ((const uint32xn_t*)a)[i] + ((const uint32xn_t*)b)[i];
+void gf_add_RAW(gf out, const gf a, const gf b)
+{
+    for (unsigned int i = 0; i < sizeof(*out) / sizeof(uint32xn_t); i++) {
+        ((uint32xn_t *) out)[i] =
+            ((const uint32xn_t *)a)[i] + ((const uint32xn_t *)b)[i];
     }
 }
 
-void gf_sub_RAW (gf out, const gf a, const gf b) {
-    for (unsigned int i=0; i<sizeof(*out)/sizeof(uint32xn_t); i++) {
-        ((uint32xn_t*)out)[i] = ((const uint32xn_t*)a)[i] - ((const uint32xn_t*)b)[i];
+void gf_sub_RAW(gf out, const gf a, const gf b)
+{
+    for (unsigned int i = 0; i < sizeof(*out) / sizeof(uint32xn_t); i++) {
+        ((uint32xn_t *) out)[i] =
+            ((const uint32xn_t *)a)[i] - ((const uint32xn_t *)b)[i];
     }
     /*
-    unsigned int i;
-    for (i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
-        out->limb[i] = a->limb[i] - b->limb[i];
-    }
-    */
+     * unsigned int i; for (i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
+     * out->limb[i] = a->limb[i] - b->limb[i]; }
+     */
 }
 
-void gf_bias (gf a, int amt) {
-    uint32_t co1 = ((1ull<<28)-1)*amt, co2 = co1-amt;
-    uint32x4_t lo = {co1,co2,co1,co1}, hi = {co1,co1,co1,co1};
-    uint32x4_t *aa = (uint32x4_t*) a;
+void gf_bias(gf a, int amt)
+{
+    uint32_t co1 = ((1ull << 28) - 1) * amt, co2 = co1 - amt;
+    uint32x4_t lo = { co1, co2, co1, co1 }, hi = {
+    co1, co1, co1, co1};
+    uint32x4_t *aa = (uint32x4_t *) a;
     aa[0] += lo;
     aa[1] += hi;
     aa[2] += hi;
     aa[3] += hi;
 }
 
-void gf_weak_reduce (gf a) {
+void gf_weak_reduce(gf a)
+{
 
-    uint32x2_t *aa = (uint32x2_t*) a, vmask = {(1ull<<28)-1, (1ull<<28)-1}, vm2 = {0,-1},
-       tmp = vshr_n_u32(aa[7],28);
-       
-    for (unsigned int i=7; i>=1; i--) {
-        aa[i] = vsra_n_u32(aa[i] & vmask, aa[i-1], 28);
+    uint32x2_t *aa = (uint32x2_t *) a, vmask = {
+    (1ull << 28) - 1, (1ull << 28) - 1}, vm2 = {
+    0, -1}, tmp = vshr_n_u32(aa[7], 28);
+
+    for (unsigned int i = 7; i >= 1; i--) {
+        aa[i] = vsra_n_u32(aa[i] & vmask, aa[i - 1], 28);
     }
-    aa[0] = (aa[0] & vmask) + vrev64_u32(tmp) + (tmp&vm2);
+    aa[0] = (aa[0] & vmask) + vrev64_u32(tmp) + (tmp & vm2);
 }
-
index ca7f69745e6ae4273140b5156df3bd6007744771..f424d5306853710a2c2eca5a97b1f75017350d75 100644 (file)
  */
 
 #ifndef __ARCH_REF64_ARCH_INTRINSICS_H__
-#define __ARCH_REF64_ARCH_INTRINSICS_H__
+# define __ARCH_REF64_ARCH_INTRINSICS_H__
 
-#define ARCH_WORD_BITS 64
+# define ARCH_WORD_BITS 64
 
-static __inline__ __attribute((always_inline,unused))
-uint64_t word_is_zero(uint64_t a) {
+static __inline__ __attribute((always_inline, unused))
+uint64_t word_is_zero(uint64_t a)
+{
     /* let's hope the compiler isn't clever enough to optimize this. */
-    return (((__uint128_t)a)-1)>>64;
+    return (((__uint128_t) a) - 1) >> 64;
 }
 
-static __inline__ __attribute((always_inline,unused))
-__uint128_t widemul(uint64_t a, uint64_t b) {
-    return ((__uint128_t)a) * b; 
+static __inline__ __attribute((always_inline, unused))
+__uint128_t widemul(uint64_t a, uint64_t b)
+{
+    return ((__uint128_t) a) * b;
 }
 
-#endif /* ARCH_REF64_ARCH_INTRINSICS_H__ */
-
+#endif                          /* ARCH_REF64_ARCH_INTRINSICS_H__ */
index c37b2e8dca8ac8d9c797bc6bba4de17ddd3b602f..73021312a64f545d45910a7a11384a186977bcf7 100644 (file)
  */
 #include "f_field.h"
 
-void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
+void gf_mul(gf_s * __restrict__ cs, const gf as, const gf bs)
+{
     const uint64_t *a = as->limb, *b = bs->limb;
     uint64_t *c = cs->limb;
 
     __uint128_t accum0 = 0, accum1 = 0, accum2;
-    uint64_t mask = (1ull<<56) - 1;  
+    uint64_t mask = (1ull << 56) - 1;
 
     uint64_t aa[4], bb[4], bbb[4];
 
     unsigned int i;
-    for (i=0; i<4; i++) {
-        aa[i]  = a[i] + a[i+4];
-        bb[i]  = b[i] + b[i+4];
-        bbb[i] = bb[i] + b[i+4];
+    for (i = 0; i < 4; i++) {
+        aa[i] = a[i] + a[i + 4];
+        bb[i] = b[i] + b[i + 4];
+        bbb[i] = bb[i] + b[i + 4];
     }
 
     int I_HATE_UNROLLED_LOOPS = 0;
 
     if (I_HATE_UNROLLED_LOOPS) {
-        /* The compiler probably won't unroll this,
-         * so it's like 80% slower.
+        /*
+         * The compiler probably won't unroll this, so it's like 80% slower.
          */
-        for (i=0; i<4; i++) {
+        for (i = 0; i < 4; i++) {
             accum2 = 0;
 
             unsigned int j;
-            for (j=0; j<=i; j++) {
-                accum2 += widemul(a[j],   b[i-j]);
-                accum1 += widemul(aa[j], bb[i-j]);
-                accum0 += widemul(a[j+4], b[i-j+4]);
+            for (j = 0; j <= i; j++) {
+                accum2 += widemul(a[j], b[i - j]);
+                accum1 += widemul(aa[j], bb[i - j]);
+                accum0 += widemul(a[j + 4], b[i - j + 4]);
             }
-            for (; j<4; j++) {
-                accum2 += widemul(a[j],   b[i-j+8]);
-                accum1 += widemul(aa[j], bbb[i-j+4]);
-                accum0 += widemul(a[j+4], bb[i-j+4]);
+            for (; j < 4; j++) {
+                accum2 += widemul(a[j], b[i - j + 8]);
+                accum1 += widemul(aa[j], bbb[i - j + 4]);
+                accum0 += widemul(a[j + 4], bb[i - j + 4]);
             }
 
             accum1 -= accum2;
             accum0 += accum2;
 
-            c[i]   = ((uint64_t)(accum0)) & mask;
-            c[i+4] = ((uint64_t)(accum1)) & mask;
+            c[i] = ((uint64_t)(accum0)) & mask;
+            c[i + 4] = ((uint64_t)(accum1)) & mask;
 
             accum0 >>= 56;
             accum1 >>= 56;
         }
     } else {
-        accum2  = widemul(a[0],  b[0]);
+        accum2 = widemul(a[0], b[0]);
         accum1 += widemul(aa[0], bb[0]);
-        accum0 += widemul(a[4],  b[4]);
+        accum0 += widemul(a[4], b[4]);
 
-        accum2 += widemul(a[1],  b[7]);
+        accum2 += widemul(a[1], b[7]);
         accum1 += widemul(aa[1], bbb[3]);
-        accum0 += widemul(a[5],  bb[3]);
+        accum0 += widemul(a[5], bb[3]);
 
-        accum2 += widemul(a[2],  b[6]);
+        accum2 += widemul(a[2], b[6]);
         accum1 += widemul(aa[2], bbb[2]);
-        accum0 += widemul(a[6],  bb[2]);
+        accum0 += widemul(a[6], bb[2]);
 
-        accum2 += widemul(a[3],  b[5]);
+        accum2 += widemul(a[3], b[5]);
         accum1 += widemul(aa[3], bbb[1]);
-        accum0 += widemul(a[7],  bb[1]);
+        accum0 += widemul(a[7], bb[1]);
 
         accum1 -= accum2;
         accum0 += accum2;
@@ -83,21 +84,21 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         accum0 >>= 56;
         accum1 >>= 56;
 
-        accum2  = widemul(a[0],  b[1]);
+        accum2 = widemul(a[0], b[1]);
         accum1 += widemul(aa[0], bb[1]);
-        accum0 += widemul(a[4],  b[5]);
+        accum0 += widemul(a[4], b[5]);
 
-        accum2 += widemul(a[1],  b[0]);
+        accum2 += widemul(a[1], b[0]);
         accum1 += widemul(aa[1], bb[0]);
-        accum0 += widemul(a[5],  b[4]);
+        accum0 += widemul(a[5], b[4]);
 
-        accum2 += widemul(a[2],  b[7]);
+        accum2 += widemul(a[2], b[7]);
         accum1 += widemul(aa[2], bbb[3]);
-        accum0 += widemul(a[6],  bb[3]);
+        accum0 += widemul(a[6], bb[3]);
 
-        accum2 += widemul(a[3],  b[6]);
+        accum2 += widemul(a[3], b[6]);
         accum1 += widemul(aa[3], bbb[2]);
-        accum0 += widemul(a[7],  bb[2]);
+        accum0 += widemul(a[7], bb[2]);
 
         accum1 -= accum2;
         accum0 += accum2;
@@ -108,21 +109,21 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         accum0 >>= 56;
         accum1 >>= 56;
 
-        accum2  = widemul(a[0],  b[2]);
+        accum2 = widemul(a[0], b[2]);
         accum1 += widemul(aa[0], bb[2]);
-        accum0 += widemul(a[4],  b[6]);
+        accum0 += widemul(a[4], b[6]);
 
-        accum2 += widemul(a[1],  b[1]);
+        accum2 += widemul(a[1], b[1]);
         accum1 += widemul(aa[1], bb[1]);
-        accum0 += widemul(a[5],  b[5]);
+        accum0 += widemul(a[5], b[5]);
 
-        accum2 += widemul(a[2],  b[0]);
+        accum2 += widemul(a[2], b[0]);
         accum1 += widemul(aa[2], bb[0]);
-        accum0 += widemul(a[6],  b[4]);
+        accum0 += widemul(a[6], b[4]);
 
-        accum2 += widemul(a[3],  b[7]);
+        accum2 += widemul(a[3], b[7]);
         accum1 += widemul(aa[3], bbb[3]);
-        accum0 += widemul(a[7],  bb[3]);
+        accum0 += widemul(a[7], bb[3]);
 
         accum1 -= accum2;
         accum0 += accum2;
@@ -133,21 +134,21 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
         accum0 >>= 56;
         accum1 >>= 56;
 
-        accum2  = widemul(a[0],  b[3]);
+        accum2 = widemul(a[0], b[3]);
         accum1 += widemul(aa[0], bb[3]);
-        accum0 += widemul(a[4],  b[7]);
+        accum0 += widemul(a[4], b[7]);
 
-        accum2 += widemul(a[1],  b[2]);
+        accum2 += widemul(a[1], b[2]);
         accum1 += widemul(aa[1], bb[2]);
-        accum0 += widemul(a[5],  b[6]);
+        accum0 += widemul(a[5], b[6]);
 
-        accum2 += widemul(a[2],  b[1]);
+        accum2 += widemul(a[2], b[1]);
         accum1 += widemul(aa[2], bb[1]);
-        accum0 += widemul(a[6],  b[5]);
+        accum0 += widemul(a[6], b[5]);
 
-        accum2 += widemul(a[3],  b[0]);
+        accum2 += widemul(a[3], b[0]);
         accum1 += widemul(aa[3], bb[0]);
-        accum0 += widemul(a[7],  b[4]);
+        accum0 += widemul(a[7], b[4]);
 
         accum1 -= accum2;
         accum0 += accum2;
@@ -157,7 +158,7 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
 
         accum0 >>= 56;
         accum1 >>= 56;
-    } /* !I_HATE_UNROLLED_LOOPS */
+    }                           /* !I_HATE_UNROLLED_LOOPS */
 
     accum0 += accum1;
     accum0 += c[4];
@@ -172,21 +173,24 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
     c[1] += ((uint64_t)(accum1));
 }
 
-void gf_mulw_unsigned (gf_s *__restrict__ cs, const gf as, uint32_t b) {
+void gf_mulw_unsigned(gf_s * __restrict__ cs, const gf as, uint32_t b)
+{
     const uint64_t *a = as->limb;
     uint64_t *c = cs->limb;
 
     __uint128_t accum0 = 0, accum4 = 0;
-    uint64_t mask = (1ull<<56) - 1;  
+    uint64_t mask = (1ull << 56) - 1;
 
     int i;
-    for (i=0; i<4; i++) {
+    for (i = 0; i < 4; i++) {
         accum0 += widemul(b, a[i]);
-        accum4 += widemul(b, a[i+4]);
-        c[i]   = accum0 & mask; accum0 >>= 56;
-        c[i+4] = accum4 & mask; accum4 >>= 56;
+        accum4 += widemul(b, a[i + 4]);
+        c[i] = accum0 & mask;
+        accum0 >>= 56;
+        c[i + 4] = accum4 & mask;
+        accum4 >>= 56;
     }
-    
+
     accum0 += accum4 + c[4];
     c[4] = accum0 & mask;
     c[5] += accum0 >> 56;
@@ -196,24 +200,25 @@ void gf_mulw_unsigned (gf_s *__restrict__ cs, const gf as, uint32_t b) {
     c[1] += accum4 >> 56;
 }
 
-void gf_sqr (gf_s *__restrict__ cs, const gf as) {
+void gf_sqr(gf_s * __restrict__ cs, const gf as)
+{
     const uint64_t *a = as->limb;
     uint64_t *c = cs->limb;
 
     __uint128_t accum0 = 0, accum1 = 0, accum2;
-    uint64_t mask = (1ull<<56) - 1;  
+    uint64_t mask = (1ull << 56) - 1;
 
     uint64_t aa[4];
 
     /* For some reason clang doesn't vectorize this without prompting? */
     unsigned int i;
-    for (i=0; i<4; i++) {
-        aa[i] = a[i] + a[i+4];
+    for (i = 0; i < 4; i++) {
+        aa[i] = a[i] + a[i + 4];
     }
 
-    accum2  = widemul(a[0],a[3]);
-    accum0  = widemul(aa[0],aa[3]);
-    accum1  = widemul(a[4],a[7]);
+    accum2 = widemul(a[0], a[3]);
+    accum0 = widemul(aa[0], aa[3]);
+    accum1 = widemul(a[4], a[7]);
 
     accum2 += widemul(a[1], a[2]);
     accum0 += widemul(aa[1], aa[2]);
@@ -222,21 +227,21 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
     accum0 -= accum2;
     accum1 += accum2;
 
-    c[3] = ((uint64_t)(accum1))<<1 & mask;
-    c[7] = ((uint64_t)(accum0))<<1 & mask;
+    c[3] = ((uint64_t)(accum1)) << 1 & mask;
+    c[7] = ((uint64_t)(accum0)) << 1 & mask;
 
     accum0 >>= 55;
     accum1 >>= 55;
 
-    accum0 += widemul(2*aa[1],aa[3]);
-    accum1 += widemul(2*a[5], a[7]);
+    accum0 += widemul(2 * aa[1], aa[3]);
+    accum1 += widemul(2 * a[5], a[7]);
     accum0 += widemul(aa[2], aa[2]);
     accum1 += accum0;
 
-    accum0 -= widemul(2*a[1], a[3]);
+    accum0 -= widemul(2 * a[1], a[3]);
     accum1 += widemul(a[6], a[6]);
-    
-    accum2 = widemul(a[0],a[0]);
+
+    accum2 = widemul(a[0], a[0]);
     accum1 -= accum2;
     accum0 += accum2;
 
@@ -250,16 +255,16 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
     accum0 >>= 56;
     accum1 >>= 56;
 
-    accum2  = widemul(2*aa[2],aa[3]);
-    accum0 -= widemul(2*a[2], a[3]);
-    accum1 += widemul(2*a[6], a[7]);
+    accum2 = widemul(2 * aa[2], aa[3]);
+    accum0 -= widemul(2 * a[2], a[3]);
+    accum1 += widemul(2 * a[6], a[7]);
 
     accum1 += accum2;
     accum0 += accum2;
 
-    accum2  = widemul(2*a[0],a[1]);
-    accum1 += widemul(2*aa[0], aa[1]);
-    accum0 += widemul(2*a[4], a[5]);
+    accum2 = widemul(2 * a[0], a[1]);
+    accum1 += widemul(2 * aa[0], aa[1]);
+    accum0 += widemul(2 * a[4], a[5]);
 
     accum1 -= accum2;
     accum0 += accum2;
@@ -270,16 +275,16 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
     accum0 >>= 56;
     accum1 >>= 56;
 
-    accum2  = widemul(aa[3],aa[3]);
+    accum2 = widemul(aa[3], aa[3]);
     accum0 -= widemul(a[3], a[3]);
     accum1 += widemul(a[7], a[7]);
 
     accum1 += accum2;
     accum0 += accum2;
 
-    accum2  = widemul(2*a[0],a[2]);
-    accum1 += widemul(2*aa[0], aa[2]);
-    accum0 += widemul(2*a[4], a[6]);
+    accum2 = widemul(2 * a[0], a[2]);
+    accum1 += widemul(2 * aa[0], aa[2]);
+    accum0 += widemul(2 * a[4], a[6]);
 
     accum2 += widemul(a[1], a[1]);
     accum1 += widemul(aa[1], aa[1]);
@@ -306,4 +311,3 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
     c[4] += ((uint64_t)(accum0)) + ((uint64_t)(accum1));
     c[0] += ((uint64_t)(accum1));
 }
-
index ce2d7dcbc2c3e96a160f57b9edeea10b004e5d22..031000873796daeda3abd8eb027fdb7f736267e5 100644 (file)
  * Originally written by Mike Hamburg
  */
 
-#define GF_HEADROOM 9999 /* Everything is reduced anyway */
+#define GF_HEADROOM 9999        /* Everything is reduced anyway */
 #define FIELD_LITERAL(a,b,c,d,e,f,g,h) {{a,b,c,d,e,f,g,h}}
-    
+
 #define LIMB_PLACE_VALUE(i) 56
 
-void gf_add_RAW (gf out, const gf a, const gf b) {
-    for (unsigned int i=0; i<8; i++) {
+void gf_add_RAW(gf out, const gf a, const gf b)
+{
+    for (unsigned int i = 0; i < 8; i++) {
         out->limb[i] = a->limb[i] + b->limb[i];
     }
     gf_weak_reduce(out);
 }
 
-void gf_sub_RAW (gf out, const gf a, const gf b) {
-    uint64_t co1 = ((1ull<<56)-1)*2, co2 = co1-2;
-    for (unsigned int i=0; i<8; i++) {
-        out->limb[i] = a->limb[i] - b->limb[i] + ((i==4) ? co2 : co1);
+void gf_sub_RAW(gf out, const gf a, const gf b)
+{
+    uint64_t co1 = ((1ull << 56) - 1) * 2, co2 = co1 - 2;
+    for (unsigned int i = 0; i < 8; i++) {
+        out->limb[i] = a->limb[i] - b->limb[i] + ((i == 4) ? co2 : co1);
     }
     gf_weak_reduce(out);
 }
 
-void gf_bias (gf a, int amt) {
-    (void) a;
-    (void) amt;
+void gf_bias(gf a, int amt)
+{
+    (void)a;
+    (void)amt;
 }
 
-void gf_weak_reduce (gf a) {
-    uint64_t mask = (1ull<<56) - 1;
+void gf_weak_reduce(gf a)
+{
+    uint64_t mask = (1ull << 56) - 1;
     uint64_t tmp = a->limb[7] >> 56;
     a->limb[4] += tmp;
-    for (unsigned int i=7; i>0; i--) {
-        a->limb[i] = (a->limb[i] & mask) + (a->limb[i-1]>>56);
+    for (unsigned int i = 7; i > 0; i--) {
+        a->limb[i] = (a->limb[i] & mask) + (a->limb[i - 1] >> 56);
     }
     a->limb[0] = (a->limb[0] & mask) + tmp;
 }
index 9c7dbb79c3449087f3cb7bf8b921b8bd46405924..80b3023a149367aa352eea5fd0312d961c556eed 100644 (file)
  * Originally written by Mike Hamburg
  */
 #ifndef __ARCH_X86_64_ARCH_INTRINSICS_H__
-#define __ARCH_X86_64_ARCH_INTRINSICS_H__
+# define __ARCH_X86_64_ARCH_INTRINSICS_H__
 
-#define ARCH_WORD_BITS 64
+# define ARCH_WORD_BITS 64
 
-#include <openssl/e_os2.h>
+# include <openssl/e_os2.h>
 
 /* FUTURE: autogenerate */
-static __inline__ __uint128_t widemul(const uint64_t *a, const uint64_t *b) {
-  uint64_t c,d;
-  #ifndef __BMI2__
-      __asm__ volatile
-          ("movq %[a], %%rax;"
-           "mulq %[b];"
-           : [c]"=&a"(c), [d]"=d"(d)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "cc");
-  #else
-      __asm__ volatile
-          ("movq %[a], %%rdx;"
-           "mulx %[b], %[c], %[d];"
-           : [c]"=r"(c), [d]"=r"(d)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rdx");
-  #endif
-  return (((__uint128_t)(d))<<64) | c;
+static __inline__ __uint128_t widemul(const uint64_t *a, const uint64_t *b)
+{
+    uint64_t c, d;
+# ifndef __BMI2__
+    __asm__ volatile
+     ("movq %[a], %%rax;" "mulq %[b];":[c] "=&a"(c),[d] "=d"(d)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"cc");
+# else
+    __asm__ volatile
+     ("movq %[a], %%rdx;" "mulx %[b], %[c], %[d];":[c] "=r"(c),[d] "=r"(d)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rdx");
+# endif
+    return (((__uint128_t) (d)) << 64) | c;
 }
 
-static __inline__ __uint128_t widemul_rm(uint64_t a, const uint64_t *b) {
-  uint64_t c,d;
-  #ifndef __BMI2__
-      __asm__ volatile
-          ("movq %[a], %%rax;"
-           "mulq %[b];"
-           : [c]"=&a"(c), [d]"=d"(d)
-           : [b]"m"(*b), [a]"r"(a)
-           : "cc");
-  #else
-      __asm__ volatile
-          ("mulx %[b], %[c], %[d];"
-           : [c]"=r"(c), [d]"=r"(d)
-           : [b]"m"(*b), [a]"d"(a));
-  #endif
-  return (((__uint128_t)(d))<<64) | c;
+static __inline__ __uint128_t widemul_rm(uint64_t a, const uint64_t *b)
+{
+    uint64_t c, d;
+# ifndef __BMI2__
+    __asm__ volatile
+     ("movq %[a], %%rax;" "mulq %[b];":[c] "=&a"(c),[d] "=d"(d)
+      :[b] "m"(*b),[a] "r"(a)
+      :"cc");
+# else
+    __asm__ volatile
+     ("mulx %[b], %[c], %[d];":[c] "=r"(c),[d] "=r"(d)
+      :[b] "m"(*b),[a] "d"(a));
+# endif
+    return (((__uint128_t) (d)) << 64) | c;
 }
 
-static __inline__ __uint128_t widemul_rr(uint64_t a, uint64_t b) {
-  uint64_t c,d;
-  #ifndef __BMI2__
-      __asm__ volatile
-          ("mulq %[b];"
-           : [c]"=a"(c), [d]"=d"(d)
-           : [b]"r"(b), "a"(a)
-           : "cc");
-  #else
-      __asm__ volatile
-          ("mulx %[b], %[c], %[d];"
-           : [c]"=r"(c), [d]"=r"(d)
-           : [b]"r"(b), [a]"d"(a));
-  #endif
-  return (((__uint128_t)(d))<<64) | c;
+static __inline__ __uint128_t widemul_rr(uint64_t a, uint64_t b)
+{
+    uint64_t c, d;
+# ifndef __BMI2__
+    __asm__ volatile
+     ("mulq %[b];":[c] "=a"(c),[d] "=d"(d)
+      :[b] "r"(b), "a"(a)
+      :"cc");
+# else
+    __asm__ volatile
+     ("mulx %[b], %[c], %[d];":[c] "=r"(c),[d] "=r"(d)
+      :[b] "r"(b),[a] "d"(a));
+# endif
+    return (((__uint128_t) (d)) << 64) | c;
 }
 
-static __inline__ __uint128_t widemul2(const uint64_t *a, const uint64_t *b) {
-  uint64_t c,d;
-  #ifndef __BMI2__
-      __asm__ volatile
-          ("movq %[a], %%rax; "
-           "addq %%rax, %%rax; "
-           "mulq %[b];"
-           : [c]"=&a"(c), [d]"=d"(d)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "cc");
-  #else
-      __asm__ volatile
-          ("movq %[a], %%rdx;"
-           "leaq (,%%rdx,2), %%rdx;"
-           "mulx %[b], %[c], %[d];"
-           : [c]"=r"(c), [d]"=r"(d)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rdx");
-  #endif
-  return (((__uint128_t)(d))<<64) | c;
+static __inline__ __uint128_t widemul2(const uint64_t *a, const uint64_t *b)
+{
+    uint64_t c, d;
+# ifndef __BMI2__
+    __asm__ volatile
+     ("movq %[a], %%rax; "
+      "addq %%rax, %%rax; " "mulq %[b];":[c] "=&a"(c),[d] "=d"(d)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"cc");
+# else
+    __asm__ volatile
+     ("movq %[a], %%rdx;"
+      "leaq (,%%rdx,2), %%rdx;" "mulx %[b], %[c], %[d];":[c] "=r"(c),[d] "=r"(d)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rdx");
+# endif
+    return (((__uint128_t) (d)) << 64) | c;
 }
 
-static __inline__ void mac(__uint128_t *acc, const uint64_t *a, const uint64_t *b) {
-  uint64_t lo = *acc, hi = *acc>>64;
-  
-  #ifdef __BMI2__
-      uint64_t c,d;
-      __asm__ volatile
-          ("movq %[a], %%rdx; "
-           "mulx %[b], %[c], %[d]; "
-           "addq %[c], %[lo]; "
-           "adcq %[d], %[hi]; "
-           : [c]"=&r"(c), [d]"=&r"(d), [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rdx", "cc");
-  #else
-      __asm__ volatile
-          ("movq %[a], %%rax; "
-           "mulq %[b]; "
-           "addq %%rax, %[lo]; "
-           "adcq %%rdx, %[hi]; "
-           : [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rax", "rdx", "cc");
-  #endif
-  
-  *acc = (((__uint128_t)(hi))<<64) | lo;
+static __inline__ void mac(__uint128_t * acc, const uint64_t *a,
+                           const uint64_t *b)
+{
+    uint64_t lo = *acc, hi = *acc >> 64;
+
+# ifdef __BMI2__
+    uint64_t c, d;
+    __asm__ volatile
+     ("movq %[a], %%rdx; "
+      "mulx %[b], %[c], %[d]; "
+      "addq %[c], %[lo]; "
+      "adcq %[d], %[hi]; ":[c] "=&r"(c),[d] "=&r"(d),[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rdx", "cc");
+# else
+    __asm__ volatile
+     ("movq %[a], %%rax; "
+      "mulq %[b]; "
+      "addq %%rax, %[lo]; " "adcq %%rdx, %[hi]; ":[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rax", "rdx", "cc");
+# endif
+
+    *acc = (((__uint128_t) (hi)) << 64) | lo;
 }
 
-static __inline__ void macac(__uint128_t *acc, __uint128_t *acc2, const uint64_t *a, const uint64_t *b) {
-  uint64_t lo = *acc, hi = *acc>>64;
-  uint64_t lo2 = *acc2, hi2 = *acc2>>64;
-  
-  #ifdef __BMI2__
-      uint64_t c,d;
-      __asm__ volatile
-          ("movq %[a], %%rdx; "
-           "mulx %[b], %[c], %[d]; "
-           "addq %[c], %[lo]; "
-           "adcq %[d], %[hi]; "
-           "addq %[c], %[lo2]; "
-           "adcq %[d], %[hi2]; "
-           : [c]"=r"(c), [d]"=r"(d), [lo]"+r"(lo), [hi]"+r"(hi), [lo2]"+r"(lo2), [hi2]"+r"(hi2)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rdx", "cc");
-  #else
-      __asm__ volatile
-          ("movq %[a], %%rax; "
-           "mulq %[b]; "
-           "addq %%rax, %[lo]; "
-           "adcq %%rdx, %[hi]; "
-           "addq %%rax, %[lo2]; "
-           "adcq %%rdx, %[hi2]; "
-           : [lo]"+r"(lo), [hi]"+r"(hi), [lo2]"+r"(lo2), [hi2]"+r"(hi2)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rax", "rdx", "cc");
-  #endif
-  
-  *acc = (((__uint128_t)(hi))<<64) | lo;
-  *acc2 = (((__uint128_t)(hi2))<<64) | lo2;
+static __inline__ void macac(__uint128_t * acc, __uint128_t * acc2,
+                             const uint64_t *a, const uint64_t *b)
+{
+    uint64_t lo = *acc, hi = *acc >> 64;
+    uint64_t lo2 = *acc2, hi2 = *acc2 >> 64;
+
+# ifdef __BMI2__
+    uint64_t c, d;
+    __asm__ volatile
+     ("movq %[a], %%rdx; "
+      "mulx %[b], %[c], %[d]; "
+      "addq %[c], %[lo]; "
+      "adcq %[d], %[hi]; "
+      "addq %[c], %[lo2]; "
+      "adcq %[d], %[hi2]; ":[c] "=r"(c),[d] "=r"(d),[lo] "+r"(lo),[hi] "+r"(hi),
+      [lo2] "+r"(lo2),[hi2] "+r"(hi2)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rdx", "cc");
+# else
+    __asm__ volatile
+     ("movq %[a], %%rax; "
+      "mulq %[b]; "
+      "addq %%rax, %[lo]; "
+      "adcq %%rdx, %[hi]; "
+      "addq %%rax, %[lo2]; "
+      "adcq %%rdx, %[hi2]; ":[lo] "+r"(lo),[hi] "+r"(hi),[lo2] "+r"(lo2),
+      [hi2] "+r"(hi2)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rax", "rdx", "cc");
+# endif
+
+    *acc = (((__uint128_t) (hi)) << 64) | lo;
+    *acc2 = (((__uint128_t) (hi2)) << 64) | lo2;
 }
 
-static __inline__ void mac_rm(__uint128_t *acc, uint64_t a, const uint64_t *b) {
-  uint64_t lo = *acc, hi = *acc>>64;
-  
-  #ifdef __BMI2__
-      uint64_t c,d;
-      __asm__ volatile
-          ("mulx %[b], %[c], %[d]; "
-           "addq %[c], %[lo]; "
-           "adcq %[d], %[hi]; "
-           : [c]"=r"(c), [d]"=r"(d), [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"d"(a)
-           : "cc");
-  #else
-      __asm__ volatile
-          ("movq %[a], %%rax; "
-           "mulq %[b]; "
-           "addq %%rax, %[lo]; "
-           "adcq %%rdx, %[hi]; "
-           : [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"r"(a)
-           : "rax", "rdx", "cc");
-  #endif
-  
-  *acc = (((__uint128_t)(hi))<<64) | lo;
+static __inline__ void mac_rm(__uint128_t * acc, uint64_t a, const uint64_t *b)
+{
+    uint64_t lo = *acc, hi = *acc >> 64;
+
+# ifdef __BMI2__
+    uint64_t c, d;
+    __asm__ volatile
+     ("mulx %[b], %[c], %[d]; "
+      "addq %[c], %[lo]; "
+      "adcq %[d], %[hi]; ":[c] "=r"(c),[d] "=r"(d),[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "d"(a)
+      :"cc");
+# else
+    __asm__ volatile
+     ("movq %[a], %%rax; "
+      "mulq %[b]; "
+      "addq %%rax, %[lo]; " "adcq %%rdx, %[hi]; ":[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "r"(a)
+      :"rax", "rdx", "cc");
+# endif
+
+    *acc = (((__uint128_t) (hi)) << 64) | lo;
 }
 
-static __inline__ void mac_rr(__uint128_t *acc, uint64_t a, const uint64_t b) {
-  uint64_t lo = *acc, hi = *acc>>64;
-  
-  #ifdef __BMI2__
-      uint64_t c,d;
-      __asm__ volatile
-          ("mulx %[b], %[c], %[d]; "
-           "addq %[c], %[lo]; "
-           "adcq %[d], %[hi]; "
-           : [c]"=r"(c), [d]"=r"(d), [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"r"(b), [a]"d"(a)
-           : "cc");
-  #else
-      __asm__ volatile
-          ("mulq %[b]; "
-           "addq %%rax, %[lo]; "
-           "adcq %%rdx, %[hi]; "
-           : [lo]"+r"(lo), [hi]"+r"(hi), "+a"(a)
-           : [b]"r"(b)
-           : "rdx", "cc");
-  #endif
-  
-  *acc = (((__uint128_t)(hi))<<64) | lo;
+static __inline__ void mac_rr(__uint128_t * acc, uint64_t a, const uint64_t b)
+{
+    uint64_t lo = *acc, hi = *acc >> 64;
+
+# ifdef __BMI2__
+    uint64_t c, d;
+    __asm__ volatile
+     ("mulx %[b], %[c], %[d]; "
+      "addq %[c], %[lo]; "
+      "adcq %[d], %[hi]; ":[c] "=r"(c),[d] "=r"(d),[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "r"(b),[a] "d"(a)
+      :"cc");
+# else
+    __asm__ volatile
+     ("mulq %[b]; "
+      "addq %%rax, %[lo]; "
+      "adcq %%rdx, %[hi]; ":[lo] "+r"(lo),[hi] "+r"(hi), "+a"(a)
+      :[b] "r"(b)
+      :"rdx", "cc");
+# endif
+
+    *acc = (((__uint128_t) (hi)) << 64) | lo;
 }
 
-static __inline__ void mac2(__uint128_t *acc, const uint64_t *a, const uint64_t *b) {
-  uint64_t lo = *acc, hi = *acc>>64;
-  
-  #ifdef __BMI2__
-      uint64_t c,d;
-      __asm__ volatile
-          ("movq %[a], %%rdx; "
-           "addq %%rdx, %%rdx; "
-           "mulx %[b], %[c], %[d]; "
-           "addq %[c], %[lo]; "
-           "adcq %[d], %[hi]; "
-           : [c]"=r"(c), [d]"=r"(d), [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rdx", "cc");
-  #else
-      __asm__ volatile
-          ("movq %[a], %%rax; "
-           "addq %%rax, %%rax; "
-           "mulq %[b]; "
-           "addq %%rax, %[lo]; "
-           "adcq %%rdx, %[hi]; "
-           : [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rax", "rdx", "cc");
-  #endif
-  
-  *acc = (((__uint128_t)(hi))<<64) | lo;
+static __inline__ void mac2(__uint128_t * acc, const uint64_t *a,
+                            const uint64_t *b)
+{
+    uint64_t lo = *acc, hi = *acc >> 64;
+
+# ifdef __BMI2__
+    uint64_t c, d;
+    __asm__ volatile
+     ("movq %[a], %%rdx; "
+      "addq %%rdx, %%rdx; "
+      "mulx %[b], %[c], %[d]; "
+      "addq %[c], %[lo]; "
+      "adcq %[d], %[hi]; ":[c] "=r"(c),[d] "=r"(d),[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rdx", "cc");
+# else
+    __asm__ volatile
+     ("movq %[a], %%rax; "
+      "addq %%rax, %%rax; "
+      "mulq %[b]; "
+      "addq %%rax, %[lo]; " "adcq %%rdx, %[hi]; ":[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rax", "rdx", "cc");
+# endif
+
+    *acc = (((__uint128_t) (hi)) << 64) | lo;
 }
 
-static __inline__ void msb(__uint128_t *acc, const uint64_t *a, const uint64_t *b) {
-  uint64_t lo = *acc, hi = *acc>>64;
-  #ifdef __BMI2__
-      uint64_t c,d;
-      __asm__ volatile
-          ("movq %[a], %%rdx; "
-           "mulx %[b], %[c], %[d]; "
-           "subq %[c], %[lo]; "
-           "sbbq %[d], %[hi]; "
-           : [c]"=r"(c), [d]"=r"(d), [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rdx", "cc");
-  #else
-      __asm__ volatile
-          ("movq %[a], %%rax; "
-           "mulq %[b]; "
-           "subq %%rax, %[lo]; "
-           "sbbq %%rdx, %[hi]; "
-           : [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rax", "rdx", "cc");
-  #endif
-  *acc = (((__uint128_t)(hi))<<64) | lo;
+static __inline__ void msb(__uint128_t * acc, const uint64_t *a,
+                           const uint64_t *b)
+{
+    uint64_t lo = *acc, hi = *acc >> 64;
+# ifdef __BMI2__
+    uint64_t c, d;
+    __asm__ volatile
+     ("movq %[a], %%rdx; "
+      "mulx %[b], %[c], %[d]; "
+      "subq %[c], %[lo]; "
+      "sbbq %[d], %[hi]; ":[c] "=r"(c),[d] "=r"(d),[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rdx", "cc");
+# else
+    __asm__ volatile
+     ("movq %[a], %%rax; "
+      "mulq %[b]; "
+      "subq %%rax, %[lo]; " "sbbq %%rdx, %[hi]; ":[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rax", "rdx", "cc");
+# endif
+    *acc = (((__uint128_t) (hi)) << 64) | lo;
 }
 
-static __inline__ void msb2(__uint128_t *acc, const uint64_t *a, const uint64_t *b) {
-  uint64_t lo = *acc, hi = *acc>>64;
-  #ifdef __BMI2__
-      uint64_t c,d;
-      __asm__ volatile
-          ("movq %[a], %%rdx; "
-           "addq %%rdx, %%rdx; "
-           "mulx %[b], %[c], %[d]; "
-           "subq %[c], %[lo]; "
-           "sbbq %[d], %[hi]; "
-           : [c]"=r"(c), [d]"=r"(d), [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rdx", "cc");
-  #else
-      __asm__ volatile
-          ("movq %[a], %%rax; "
-           "addq %%rax, %%rax; "
-           "mulq %[b]; "
-           "subq %%rax, %[lo]; "
-           "sbbq %%rdx, %[hi]; "
-           : [lo]"+r"(lo), [hi]"+r"(hi)
-           : [b]"m"(*b), [a]"m"(*a)
-           : "rax", "rdx", "cc");
-  #endif
-  *acc = (((__uint128_t)(hi))<<64) | lo;
-  
+static __inline__ void msb2(__uint128_t * acc, const uint64_t *a,
+                            const uint64_t *b)
+{
+    uint64_t lo = *acc, hi = *acc >> 64;
+# ifdef __BMI2__
+    uint64_t c, d;
+    __asm__ volatile
+     ("movq %[a], %%rdx; "
+      "addq %%rdx, %%rdx; "
+      "mulx %[b], %[c], %[d]; "
+      "subq %[c], %[lo]; "
+      "sbbq %[d], %[hi]; ":[c] "=r"(c),[d] "=r"(d),[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rdx", "cc");
+# else
+    __asm__ volatile
+     ("movq %[a], %%rax; "
+      "addq %%rax, %%rax; "
+      "mulq %[b]; "
+      "subq %%rax, %[lo]; " "sbbq %%rdx, %[hi]; ":[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rax", "rdx", "cc");
+# endif
+    *acc = (((__uint128_t) (hi)) << 64) | lo;
+
 }
 
-static __inline__ void mrs(__uint128_t *acc, const uint64_t *a, const uint64_t *b) {
-  uint64_t c,d, lo = *acc, hi = *acc>>64;
-  __asm__ volatile
-      ("movq %[a], %%rdx; "
-       "mulx %[b], %[c], %[d]; "
-       "subq %[lo], %[c]; "
-       "sbbq %[hi], %[d]; "
-       : [c]"=r"(c), [d]"=r"(d), [lo]"+r"(lo), [hi]"+r"(hi)
-       : [b]"m"(*b), [a]"m"(*a)
-       : "rdx", "cc");
-  *acc = (((__uint128_t)(d))<<64) | c;
+static __inline__ void mrs(__uint128_t * acc, const uint64_t *a,
+                           const uint64_t *b)
+{
+    uint64_t c, d, lo = *acc, hi = *acc >> 64;
+    __asm__ volatile
+     ("movq %[a], %%rdx; "
+      "mulx %[b], %[c], %[d]; "
+      "subq %[lo], %[c]; "
+      "sbbq %[hi], %[d]; ":[c] "=r"(c),[d] "=r"(d),[lo] "+r"(lo),[hi] "+r"(hi)
+      :[b] "m"(*b),[a] "m"(*a)
+      :"rdx", "cc");
+    *acc = (((__uint128_t) (d)) << 64) | c;
 }
 
-static __inline__ uint64_t word_is_zero(uint64_t x) {
-  __asm__ volatile("neg %0; sbb %0, %0;" : "+r"(x));
-  return ~x;
+static __inline__ uint64_t word_is_zero(uint64_t x)
+{
+    __asm__ volatile ("neg %0; sbb %0, %0;":"+r" (x));
+    return ~x;
 }
 
-static inline uint64_t shrld(__uint128_t x, int n) {
-    return x>>n;
+static inline uint64_t shrld(__uint128_t x, int n)
+{
+    return x >> n;
 }
 
-#endif /* __ARCH_X86_64_ARCH_INTRINSICS_H__ */
+#endif                          /* __ARCH_X86_64_ARCH_INTRINSICS_H__ */
index 29024124752bf272d6bc9bed653565c994e76b32..a1c9dbd12259727680e592c831bc1e2177cd1388 100644 (file)
 
 #include "f_field.h"
 
-void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
+void gf_mul(gf_s * __restrict__ cs, const gf as, const gf bs)
+{
     const uint64_t *a = as->limb, *b = bs->limb;
     uint64_t *c = cs->limb;
 
     __uint128_t accum0 = 0, accum1 = 0, accum2;
-    uint64_t mask = (1ull<<56) - 1;  
+    uint64_t mask = (1ull << 56) - 1;
 
     uint64_t aa[4] VECTOR_ALIGNED, bb[4] VECTOR_ALIGNED, bbb[4] VECTOR_ALIGNED;
 
     /* For some reason clang doesn't vectorize this without prompting? */
     unsigned int i;
-    for (i=0; i<sizeof(aa)/sizeof(uint64xn_t); i++) {
-        ((uint64xn_t*)aa)[i] = ((const uint64xn_t*)a)[i] + ((const uint64xn_t*)(&a[4]))[i];
-        ((uint64xn_t*)bb)[i] = ((const uint64xn_t*)b)[i] + ((const uint64xn_t*)(&b[4]))[i]; 
-        ((uint64xn_t*)bbb)[i] = ((const uint64xn_t*)bb)[i] + ((const uint64xn_t*)(&b[4]))[i];     
+    for (i = 0; i < sizeof(aa) / sizeof(uint64xn_t); i++) {
+        ((uint64xn_t *) aa)[i] =
+            ((const uint64xn_t *)a)[i] + ((const uint64xn_t *)(&a[4]))[i];
+        ((uint64xn_t *) bb)[i] =
+            ((const uint64xn_t *)b)[i] + ((const uint64xn_t *)(&b[4]))[i];
+        ((uint64xn_t *) bbb)[i] =
+            ((const uint64xn_t *)bb)[i] + ((const uint64xn_t *)(&b[4]))[i];
     }
     /*
-    for (int i=0; i<4; i++) {
-    aa[i] = a[i] + a[i+4];
-    bb[i] = b[i] + b[i+4];
-    }
-    */
+     * for (int i=0; i<4; i++) { aa[i] = a[i] + a[i+4]; bb[i] = b[i] + b[i+4];
+     * }
+     */
 
-    accum2  = widemul(&a[0],&b[3]);
-    accum0  = widemul(&aa[0],&bb[3]);
-    accum1  = widemul(&a[4],&b[7]);
+    accum2 = widemul(&a[0], &b[3]);
+    accum0 = widemul(&aa[0], &bb[3]);
+    accum1 = widemul(&a[4], &b[7]);
 
     mac(&accum2, &a[1], &b[2]);
     mac(&accum0, &aa[1], &bb[2]);
@@ -59,18 +61,18 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
 
     accum0 >>= 56;
     accum1 >>= 56;
-    
-    mac(&accum0, &aa[1],&bb[3]);
+
+    mac(&accum0, &aa[1], &bb[3]);
     mac(&accum1, &a[5], &b[7]);
     mac(&accum0, &aa[2], &bb[2]);
     mac(&accum1, &a[6], &b[6]);
     mac(&accum0, &aa[3], &bb[1]);
     accum1 += accum0;
 
-    accum2 = widemul(&a[0],&b[0]);
+    accum2 = widemul(&a[0], &b[0]);
     accum1 -= accum2;
     accum0 += accum2;
-    
+
     msb(&accum0, &a[1], &b[3]);
     msb(&accum0, &a[2], &b[2]);
     mac(&accum1, &a[7], &b[5]);
@@ -84,7 +86,7 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
     accum0 >>= 56;
     accum1 >>= 56;
 
-    accum2  = widemul(&a[2],&b[7]);
+    accum2 = widemul(&a[2], &b[7]);
     mac(&accum0, &a[6], &bb[3]);
     mac(&accum1, &aa[2], &bbb[3]);
 
@@ -92,7 +94,7 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
     mac(&accum0, &a[7], &bb[2]);
     mac(&accum1, &aa[3], &bbb[2]);
 
-    mac(&accum2, &a[0],&b[1]);
+    mac(&accum2, &a[0], &b[1]);
     mac(&accum1, &aa[0], &bb[1]);
     mac(&accum0, &a[4], &b[5]);
 
@@ -109,11 +111,11 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
     accum0 >>= 56;
     accum1 >>= 56;
 
-    accum2  = widemul(&a[3],&b[7]);
+    accum2 = widemul(&a[3], &b[7]);
     mac(&accum0, &a[7], &bb[3]);
     mac(&accum1, &aa[3], &bbb[3]);
 
-    mac(&accum2, &a[0],&b[2]);
+    mac(&accum2, &a[0], &b[2]);
     mac(&accum1, &aa[0], &bb[2]);
     mac(&accum0, &a[4], &b[6]);
 
@@ -147,37 +149,46 @@ void gf_mul (gf_s *__restrict__ cs, const gf as, const gf bs) {
     c[0] += ((uint64_t)(accum1));
 }
 
-void gf_mulw_unsigned (gf_s *__restrict__ cs, const gf as, uint32_t b) {
+void gf_mulw_unsigned(gf_s * __restrict__ cs, const gf as, uint32_t b)
+{
     const uint64_t *a = as->limb;
     uint64_t *c = cs->limb;
 
     __uint128_t accum0, accum4;
-    uint64_t mask = (1ull<<56) - 1;  
+    uint64_t mask = (1ull << 56) - 1;
 
     accum0 = widemul_rm(b, &a[0]);
     accum4 = widemul_rm(b, &a[4]);
 
-    c[0] = accum0 & mask; accum0 >>= 56;
-    c[4] = accum4 & mask; accum4 >>= 56;
+    c[0] = accum0 & mask;
+    accum0 >>= 56;
+    c[4] = accum4 & mask;
+    accum4 >>= 56;
 
     mac_rm(&accum0, b, &a[1]);
     mac_rm(&accum4, b, &a[5]);
 
-    c[1] = accum0 & mask; accum0 >>= 56;
-    c[5] = accum4 & mask; accum4 >>= 56;
+    c[1] = accum0 & mask;
+    accum0 >>= 56;
+    c[5] = accum4 & mask;
+    accum4 >>= 56;
 
     mac_rm(&accum0, b, &a[2]);
     mac_rm(&accum4, b, &a[6]);
 
-    c[2] = accum0 & mask; accum0 >>= 56;
-    c[6] = accum4 & mask; accum4 >>= 56;
+    c[2] = accum0 & mask;
+    accum0 >>= 56;
+    c[6] = accum4 & mask;
+    accum4 >>= 56;
 
     mac_rm(&accum0, b, &a[3]);
     mac_rm(&accum4, b, &a[7]);
 
-    c[3] = accum0 & mask; accum0 >>= 56;
-    c[7] = accum4 & mask; accum4 >>= 56;
-    
+    c[3] = accum0 & mask;
+    accum0 >>= 56;
+    c[7] = accum4 & mask;
+    accum4 >>= 56;
+
     accum0 += accum4 + c[4];
     c[4] = accum0 & mask;
     c[5] += accum0 >> 56;
@@ -187,24 +198,26 @@ void gf_mulw_unsigned (gf_s *__restrict__ cs, const gf as, uint32_t b) {
     c[1] += accum4 >> 56;
 }
 
-void gf_sqr (gf_s *__restrict__ cs, const gf as) {
+void gf_sqr(gf_s * __restrict__ cs, const gf as)
+{
     const uint64_t *a = as->limb;
     uint64_t *c = cs->limb;
 
     __uint128_t accum0 = 0, accum1 = 0, accum2;
-    uint64_t mask = (1ull<<56) - 1;  
+    uint64_t mask = (1ull << 56) - 1;
 
     uint64_t aa[4] VECTOR_ALIGNED;
 
     /* For some reason clang doesn't vectorize this without prompting? */
     unsigned int i;
-    for (i=0; i<sizeof(aa)/sizeof(uint64xn_t); i++) {
-      ((uint64xn_t*)aa)[i] = ((const uint64xn_t*)a)[i] + ((const uint64xn_t*)(&a[4]))[i];
+    for (i = 0; i < sizeof(aa) / sizeof(uint64xn_t); i++) {
+        ((uint64xn_t *) aa)[i] =
+            ((const uint64xn_t *)a)[i] + ((const uint64xn_t *)(&a[4]))[i];
     }
 
-    accum2  = widemul(&a[0],&a[3]);
-    accum0  = widemul(&aa[0],&aa[3]);
-    accum1  = widemul(&a[4],&a[7]);
+    accum2 = widemul(&a[0], &a[3]);
+    accum0 = widemul(&aa[0], &aa[3]);
+    accum1 = widemul(&a[4], &a[7]);
 
     mac(&accum2, &a[1], &a[2]);
     mac(&accum0, &aa[1], &aa[2]);
@@ -213,21 +226,21 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
     accum0 -= accum2;
     accum1 += accum2;
 
-    c[3] = ((uint64_t)(accum1))<<1 & mask;
-    c[7] = ((uint64_t)(accum0))<<1 & mask;
+    c[3] = ((uint64_t)(accum1)) << 1 & mask;
+    c[7] = ((uint64_t)(accum0)) << 1 & mask;
 
     accum0 >>= 55;
     accum1 >>= 55;
 
-    mac2(&accum0, &aa[1],&aa[3]);
+    mac2(&accum0, &aa[1], &aa[3]);
     mac2(&accum1, &a[5], &a[7]);
     mac(&accum0, &aa[2], &aa[2]);
     accum1 += accum0;
 
     msb2(&accum0, &a[1], &a[3]);
     mac(&accum1, &a[6], &a[6]);
-    
-    accum2 = widemul(&a[0],&a[0]);
+
+    accum2 = widemul(&a[0], &a[0]);
     accum1 -= accum2;
     accum0 += accum2;
 
@@ -241,14 +254,14 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
     accum0 >>= 56;
     accum1 >>= 56;
 
-    accum2  = widemul2(&aa[2],&aa[3]);
+    accum2 = widemul2(&aa[2], &aa[3]);
     msb2(&accum0, &a[2], &a[3]);
     mac2(&accum1, &a[6], &a[7]);
 
     accum1 += accum2;
     accum0 += accum2;
 
-    accum2  = widemul2(&a[0],&a[1]);
+    accum2 = widemul2(&a[0], &a[1]);
     mac2(&accum1, &aa[0], &aa[1]);
     mac2(&accum0, &a[4], &a[5]);
 
@@ -261,14 +274,14 @@ void gf_sqr (gf_s *__restrict__ cs, const gf as) {
     accum0 >>= 56;
     accum1 >>= 56;
 
-    accum2  = widemul(&aa[3],&aa[3]);
+    accum2 = widemul(&aa[3], &aa[3]);
     msb(&accum0, &a[3], &a[3]);
     mac(&accum1, &a[7], &a[7]);
 
     accum1 += accum2;
     accum0 += accum2;
 
-    accum2  = widemul2(&a[0],&a[2]);
+    accum2 = widemul2(&a[0], &a[2]);
     mac2(&accum1, &aa[0], &aa[2]);
     mac2(&accum0, &a[4], &a[6]);
 
index fb3421255ae9287539120e1bc66bf80a21c87647..23a426d4ec4173a04f783721f9a7af1c670ef833 100644 (file)
 #define FIELD_LITERAL(a,b,c,d,e,f,g,h) {{a,b,c,d,e,f,g,h}}
 #define LIMB_PLACE_VALUE(i) 56
 
-void gf_add_RAW (gf out, const gf a, const gf b) {
-    for (unsigned int i=0; i<sizeof(*out)/sizeof(uint64xn_t); i++) {
-        ((uint64xn_t*)out)[i] = ((const uint64xn_t*)a)[i] + ((const uint64xn_t*)b)[i];
+void gf_add_RAW(gf out, const gf a, const gf b)
+{
+    for (unsigned int i = 0; i < sizeof(*out) / sizeof(uint64xn_t); i++) {
+        ((uint64xn_t *) out)[i] =
+            ((const uint64xn_t *)a)[i] + ((const uint64xn_t *)b)[i];
     }
     /*
-    unsigned int i;
-    for (i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
-        out->limb[i] = a->limb[i] + b->limb[i];
-    }
-    */
+     * unsigned int i; for (i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
+     * out->limb[i] = a->limb[i] + b->limb[i]; }
+     */
 }
 
-void gf_sub_RAW (gf out, const gf a, const gf b) {
-    for (unsigned int i=0; i<sizeof(*out)/sizeof(uint64xn_t); i++) {
-        ((uint64xn_t*)out)[i] = ((const uint64xn_t*)a)[i] - ((const uint64xn_t*)b)[i];
+void gf_sub_RAW(gf out, const gf a, const gf b)
+{
+    for (unsigned int i = 0; i < sizeof(*out) / sizeof(uint64xn_t); i++) {
+        ((uint64xn_t *) out)[i] =
+            ((const uint64xn_t *)a)[i] - ((const uint64xn_t *)b)[i];
     }
     /*
-    unsigned int i;
-    for (i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
-        out->limb[i] = a->limb[i] - b->limb[i];
-    }
-    */
+     * unsigned int i; for (i=0; i<sizeof(*out)/sizeof(out->limb[0]); i++) {
+     * out->limb[i] = a->limb[i] - b->limb[i]; }
+     */
 }
 
-void gf_bias (gf a, int amt) {
-    uint64_t co1 = ((1ull<<56)-1)*amt, co2 = co1-amt;
-    
+void gf_bias(gf a, int amt)
+{
+    uint64_t co1 = ((1ull << 56) - 1) * amt, co2 = co1 - amt;
+
 #if __AVX2__
-    uint64x4_t lo = {co1,co1,co1,co1}, hi = {co2,co1,co1,co1};
-    uint64x4_t *aa = (uint64x4_t*) a;
+    uint64x4_t lo = { co1, co1, co1, co1 }, hi = {
+    co2, co1, co1, co1};
+    uint64x4_t *aa = (uint64x4_t *) a;
     aa[0] += lo;
     aa[1] += hi;
 #elif __SSE2__
-    uint64x2_t lo = {co1,co1}, hi = {co2,co1};
-    uint64x2_t *aa = (uint64x2_t*) a;
+    uint64x2_t lo = { co1, co1 }, hi = {
+    co2, co1};
+    uint64x2_t *aa = (uint64x2_t *) a;
     aa[0] += lo;
     aa[1] += lo;
     aa[2] += hi;
     aa[3] += lo;
 #else
-    for (unsigned int i=0; i<sizeof(*a)/sizeof(uint64_t); i++) {
-        a->limb[i] += (i==4) ? co2 : co1;
+    for (unsigned int i = 0; i < sizeof(*a) / sizeof(uint64_t); i++) {
+        a->limb[i] += (i == 4) ? co2 : co1;
     }
 #endif
 }
 
-void gf_weak_reduce (gf a) {
+void gf_weak_reduce(gf a)
+{
     /* PERF: use pshufb/palignr if anyone cares about speed of this */
-    uint64_t mask = (1ull<<56) - 1;
+    uint64_t mask = (1ull << 56) - 1;
     uint64_t tmp = a->limb[7] >> 56;
     a->limb[4] += tmp;
-    for (unsigned int i=7; i>0; i--) {
-        a->limb[i] = (a->limb[i] & mask) + (a->limb[i-1]>>56);
+    for (unsigned int i = 7; i > 0; i--) {
+        a->limb[i] = (a->limb[i] & mask) + (a->limb[i - 1] >> 56);
     }
     a->limb[0] = (a->limb[0] & mask) + tmp;
 }
-
index 25b6a49fe4e08f485975b24807effc5af585ee05..e6b055cc8fff8d33a087d5e536b86ad1f87552cc 100644 (file)
  */
 
 #ifndef __CONSTANT_TIME_H__
-#define __CONSTANT_TIME_H__ 1
+# define __CONSTANT_TIME_H__ 1
 
-#include "word.h"
-#include <string.h>
+# include "word.h"
+# include <string.h>
 
 /*
  * Constant-time operations on hopefully-compile-time-sized memory
  * Instead, we're putting our trust in the loop unroller and unswitcher.
  */
 
-
 /**
  * Unaligned big (vector?) register.
  */
 typedef struct {
     big_register_t unaligned;
-} __attribute__((packed)) unaligned_br_t;
+} __attribute__ ((packed)) unaligned_br_t;
 
 /**
  * Unaligned word register, for architectures where that matters.
  */
 typedef struct {
     word_t unaligned;
-} __attribute__((packed)) unaligned_word_t;
+} __attribute__ ((packed)) unaligned_word_t;
 
 /**
  * @brief Constant-time conditional swap.
@@ -60,62 +59,58 @@ typedef struct {
  * as their sizes, if the CPU cares about that sort of thing.
  */
 static __inline__ void
-__attribute__((unused,always_inline))
-constant_time_cond_swap (
-    void *__restrict__ a_,
-    void *__restrict__ b_,
-    word_t elem_bytes,
-    mask_t doswap
-) {
+    __attribute__ ((unused, always_inline))
+    constant_time_cond_swap(void *__restrict__ a_,
+                        void *__restrict__ b_, word_t elem_bytes, mask_t doswap)
+{
     word_t k;
     unsigned char *a = (unsigned char *)a_;
     unsigned char *b = (unsigned char *)b_;
-    
+
     big_register_t br_mask = br_set_to_mask(doswap);
-    for (k=0; k<=elem_bytes-sizeof(big_register_t); k+=sizeof(big_register_t)) {
+    for (k = 0; k <= elem_bytes - sizeof(big_register_t);
+         k += sizeof(big_register_t)) {
         if (elem_bytes % sizeof(big_register_t)) {
             /* unaligned */
             big_register_t xor =
-                ((unaligned_br_t*)(&a[k]))->unaligned
-              ^ ((unaligned_br_t*)(&b[k]))->unaligned;
+                ((unaligned_br_t *) (&a[k]))->unaligned
+                ^ ((unaligned_br_t *) (&b[k]))->unaligned;
             xor &= br_mask;
-            ((unaligned_br_t*)(&a[k]))->unaligned ^= xor;
-            ((unaligned_br_t*)(&b[k]))->unaligned ^= xor;
+            ((unaligned_br_t *) (&a[k]))->unaligned ^= xor;
+            ((unaligned_br_t *) (&b[k]))->unaligned ^= xor;
         } else {
             /* aligned */
-            big_register_t xor =
-                *((big_register_t*)(&a[k]))
-              ^ *((big_register_t*)(&b[k]));
+            big_register_t xor = *((big_register_t *) (&a[k]))
+                ^ *((big_register_t *) (&b[k]));
             xor &= br_mask;
-            *((big_register_t*)(&a[k])) ^= xor;
-            *((big_register_t*)(&b[k])) ^= xor;
+            *((big_register_t *) (&a[k])) ^= xor;
+            *((big_register_t *) (&b[k])) ^= xor;
         }
     }
 
     if (elem_bytes % sizeof(big_register_t) >= sizeof(word_t)) {
-        for (; k<=elem_bytes-sizeof(word_t); k+=sizeof(word_t)) {
+        for (; k <= elem_bytes - sizeof(word_t); k += sizeof(word_t)) {
             if (elem_bytes % sizeof(word_t)) {
                 /* unaligned */
                 word_t xor =
-                    ((unaligned_word_t*)(&a[k]))->unaligned
-                  ^ ((unaligned_word_t*)(&b[k]))->unaligned;
+                    ((unaligned_word_t *) (&a[k]))->unaligned
+                    ^ ((unaligned_word_t *) (&b[k]))->unaligned;
                 xor &= doswap;
-                ((unaligned_word_t*)(&a[k]))->unaligned ^= xor;
-                ((unaligned_word_t*)(&b[k]))->unaligned ^= xor;
+                ((unaligned_word_t *) (&a[k]))->unaligned ^= xor;
+                ((unaligned_word_t *) (&b[k]))->unaligned ^= xor;
             } else {
                 /* aligned */
-                word_t xor =
-                    *((word_t*)(&a[k]))
-                  ^ *((word_t*)(&b[k]));
+                word_t xor = *((word_t *) (&a[k]))
+                    ^ *((word_t *) (&b[k]));
                 xor &= doswap;
-                *((word_t*)(&a[k])) ^= xor;
-                *((word_t*)(&b[k])) ^= xor;
+                *((word_t *) (&a[k])) ^= xor;
+                *((word_t *) (&b[k])) ^= xor;
             }
         }
     }
-    
+
     if (elem_bytes % sizeof(word_t)) {
-        for (; k<elem_bytes; k+=1) {
+        for (; k < elem_bytes; k += 1) {
             unsigned char xor = a[k] ^ b[k];
             xor &= doswap;
             a[k] ^= xor;
@@ -133,53 +128,60 @@ constant_time_cond_swap (
  * The table and output must not alias.
  */
 static __inline__ void
-__attribute__((unused,always_inline))
-constant_time_lookup (
-    void *__restrict__ out_,
-    const void *table_,
-    word_t elem_bytes,
-    word_t n_table,
-    word_t idx
-) {
+    __attribute__ ((unused, always_inline))
+    constant_time_lookup(void *__restrict__ out_,
+                     const void *table_,
+                     word_t elem_bytes, word_t n_table, word_t idx)
+{
     big_register_t big_one = br_set_to_mask(1), big_i = br_set_to_mask(idx);
-    
+
     /* Can't do pointer arithmetic on void* */
     unsigned char *out = (unsigned char *)out_;
     const unsigned char *table = (const unsigned char *)table_;
-    word_t j,k;
-    
+    word_t j, k;
+
     memset(out, 0, elem_bytes);
-    for (j=0; j<n_table; j++, big_i-=big_one) {        
+    for (j = 0; j < n_table; j++, big_i -= big_one) {
         big_register_t br_mask = br_is_zero(big_i);
         word_t mask;
 
-        for (k=0; k<=elem_bytes-sizeof(big_register_t); k+=sizeof(big_register_t)) {
+        for (k = 0; k <= elem_bytes - sizeof(big_register_t);
+             k += sizeof(big_register_t)) {
             if (elem_bytes % sizeof(big_register_t)) {
                 /* unaligned */
-                ((unaligned_br_t *)(out+k))->unaligned
-                       |= br_mask & ((const unaligned_br_t*)(&table[k+j*elem_bytes]))->unaligned;
+                ((unaligned_br_t *) (out + k))->unaligned
+                    |=
+                    br_mask &
+                    ((const unaligned_br_t
+                      *)(&table[k + j * elem_bytes]))->unaligned;
             } else {
                 /* aligned */
-                *(big_register_t *)(out+k) |= br_mask & *(const big_register_t*)(&table[k+j*elem_bytes]);
+                *(big_register_t *) (out + k) |=
+                    br_mask & *(const big_register_t
+                                *)(&table[k + j * elem_bytes]);
             }
         }
 
-        mask = word_is_zero(idx^j);
+        mask = word_is_zero(idx ^ j);
         if (elem_bytes % sizeof(big_register_t) >= sizeof(word_t)) {
-            for (; k<=elem_bytes-sizeof(word_t); k+=sizeof(word_t)) {
+            for (; k <= elem_bytes - sizeof(word_t); k += sizeof(word_t)) {
                 if (elem_bytes % sizeof(word_t)) {
                     /* input unaligned, output aligned */
-                    *(word_t *)(out+k) |= mask & ((const unaligned_word_t*)(&table[k+j*elem_bytes]))->unaligned;
+                    *(word_t *) (out + k) |=
+                        mask &
+                        ((const unaligned_word_t
+                          *)(&table[k + j * elem_bytes]))->unaligned;
                 } else {
                     /* aligned */
-                    *(word_t *)(out+k) |= mask & *(const word_t*)(&table[k+j*elem_bytes]);
+                    *(word_t *) (out + k) |=
+                        mask & *(const word_t *)(&table[k + j * elem_bytes]);
                 }
             }
         }
-        
+
         if (elem_bytes % sizeof(word_t)) {
-            for (; k<elem_bytes; k+=1) {
-                out[k] |= mask & table[k+j*elem_bytes];
+            for (; k < elem_bytes; k += 1) {
+                out[k] |= mask & table[k + j * elem_bytes];
             }
         }
     }
@@ -195,58 +197,57 @@ constant_time_lookup (
  * input, it must be equal and not partially overlap.
  */
 static __inline__ void
-__attribute__((unused,always_inline))
-constant_time_select (
-    void *a_,
-    const void *bFalse_,
-    const void *bTrue_,
-    word_t elem_bytes,
-    mask_t mask,
-    size_t alignment_bytes
-) {
+    __attribute__ ((unused, always_inline))
+    constant_time_select(void *a_,
+                     const void *bFalse_,
+                     const void *bTrue_,
+                     word_t elem_bytes, mask_t mask, size_t alignment_bytes)
+{
     unsigned char *a = (unsigned char *)a_;
     const unsigned char *bTrue = (const unsigned char *)bTrue_;
     const unsigned char *bFalse = (const unsigned char *)bFalse_;
     word_t k;
     big_register_t br_mask = br_set_to_mask(mask);
-    
+
     alignment_bytes |= elem_bytes;
 
-    for (k=0; k<=elem_bytes-sizeof(big_register_t); k+=sizeof(big_register_t)) {
+    for (k = 0; k <= elem_bytes - sizeof(big_register_t);
+         k += sizeof(big_register_t)) {
         if (alignment_bytes % sizeof(big_register_t)) {
             /* unaligned */
-            ((unaligned_br_t*)(&a[k]))->unaligned =
-                 ( br_mask & ((const unaligned_br_t*)(&bTrue [k]))->unaligned)
-               | (~br_mask & ((const unaligned_br_t*)(&bFalse[k]))->unaligned);
+            ((unaligned_br_t *) (&a[k]))->unaligned =
+                (br_mask & ((const unaligned_br_t *)(&bTrue[k]))->unaligned)
+                | (~br_mask &
+                   ((const unaligned_br_t *)(&bFalse[k]))->unaligned);
         } else {
             /* aligned */
-            *(big_register_t *)(a+k) =
-                 ( br_mask & *(const big_register_t*)(&bTrue [k]))
-               | (~br_mask & *(const big_register_t*)(&bFalse[k]));
+            *(big_register_t *) (a + k) =
+                (br_mask & *(const big_register_t *)(&bTrue[k]))
+                | (~br_mask & *(const big_register_t *)(&bFalse[k]));
         }
     }
 
     if (elem_bytes % sizeof(big_register_t) >= sizeof(word_t)) {
-        for (; k<=elem_bytes-sizeof(word_t); k+=sizeof(word_t)) {
+        for (; k <= elem_bytes - sizeof(word_t); k += sizeof(word_t)) {
             if (alignment_bytes % sizeof(word_t)) {
                 /* unaligned */
-                ((unaligned_word_t*)(&a[k]))->unaligned =
-                   ( mask & ((const unaligned_word_t*)(&bTrue [k]))->unaligned)
-                 | (~mask & ((const unaligned_word_t*)(&bFalse[k]))->unaligned);
+                ((unaligned_word_t *) (&a[k]))->unaligned =
+                    (mask & ((const unaligned_word_t *)(&bTrue[k]))->unaligned)
+                    | (~mask &
+                       ((const unaligned_word_t *)(&bFalse[k]))->unaligned);
             } else {
                 /* aligned */
-                *(word_t *)(a+k) =
-                   ( mask & *(const word_t*)(&bTrue [k]))
-                 | (~mask & *(const word_t*)(&bFalse[k]));
+                *(word_t *) (a + k) = (mask & *(const word_t *)(&bTrue[k]))
+                    | (~mask & *(const word_t *)(&bFalse[k]));
             }
         }
     }
-    
+
     if (elem_bytes % sizeof(word_t)) {
-        for (; k<elem_bytes; k+=1) {
-            a[k] = ( mask & bTrue[k]) | (~mask & bFalse[k]);
+        for (; k < elem_bytes; k += 1) {
+            a[k] = (mask & bTrue[k]) | (~mask & bFalse[k]);
         }
     }
 }
 
-#endif /* __CONSTANT_TIME_H__ */
+#endif                          /* __CONSTANT_TIME_H__ */
index 68085bf464c545e15fc5cefd2a40127e457a8d08..2a8678a40d9d9f2e098c44f196f9bd0f13c608cd 100644 (file)
 #define DECAF_WNAF_VAR_TABLE_BITS 3
 
 static const int EDWARDS_D = -39081;
-static const curve448_scalar_t precomputed_scalarmul_adjustment = {{{
-    SC_LIMB(0xc873d6d54a7bb0cf), SC_LIMB(0xe933d8d723a70aad), SC_LIMB(0xbb124b65129c96fd), SC_LIMB(0x00000008335dc163)
-}}};
+static const curve448_scalar_t precomputed_scalarmul_adjustment = { {{
+                                                                      SC_LIMB
+                                                                      (0xc873d6d54a7bb0cf),
+                                                                      SC_LIMB
+                                                                      (0xe933d8d723a70aad),
+                                                                      SC_LIMB
+                                                                      (0xbb124b65129c96fd),
+                                                                      SC_LIMB
+                                                                      (0x00000008335dc163)
+                                                                      }}
+};
 
 const uint8_t decaf_x448_base_point[DECAF_X448_PUBLIC_BYTES] = { 0x05 };
 
-
 #define TWISTED_D ((EDWARDS_D)-1)
 
 #define EFF_D (-(TWISTED_D))
@@ -42,511 +49,507 @@ const uint8_t decaf_x448_base_point[DECAF_X448_PUBLIC_BYTES] = { 0x05 };
 
 /* End of template stuff */
 
-#define WBITS DECAF_WORD_BITS /* NB this may be different from ARCH_WORD_BITS */
+#define WBITS DECAF_WORD_BITS   /* NB this may be different from ARCH_WORD_BITS */
 
 /* Projective Niels coordinates */
-typedef struct { gf a, b, c; } niels_s, niels_t[1];
-typedef struct { niels_t n; gf z; } VECTOR_ALIGNED pniels_s, pniels_t[1];
+typedef struct {
+    gf a, b, c;
+} niels_s, niels_t[1];
+typedef struct {
+    niels_t n;
+    gf z;
+} VECTOR_ALIGNED pniels_s, pniels_t[1];
 
 /* Precomputed base */
-struct curve448_precomputed_s { niels_t table [COMBS_N<<(COMBS_T-1)]; };
+struct curve448_precomputed_s {
+    niels_t table[COMBS_N << (COMBS_T - 1)];
+};
 
 extern const gf curve448_precomputed_base_as_fe[];
 const curve448_precomputed_s *curve448_precomputed_base =
-    (const curve448_precomputed_s *) &curve448_precomputed_base_as_fe;
+    (const curve448_precomputed_s *)&curve448_precomputed_base_as_fe;
 
 /** Inverse. */
-static void
-gf_invert(gf y, const gf x, int assert_nonzero) {
+static void gf_invert(gf y, const gf x, int assert_nonzero)
+{
     mask_t ret;
 
     gf t1, t2;
-    gf_sqr(t1, x); /* o^2 */
-    ret = gf_isr(t2, t1); /* +-1/sqrt(o^2) = +-1/o */
+    gf_sqr(t1, x);              /* o^2 */
+    ret = gf_isr(t2, t1);       /* +-1/sqrt(o^2) = +-1/o */
     (void)ret;
-    if (assert_nonzero) assert(ret);
+    if (assert_nonzero)
+        assert(ret);
     gf_sqr(t1, t2);
-    gf_mul(t2, t1, x); /* not direct to y in case of alias. */
+    gf_mul(t2, t1, x);          /* not direct to y in case of alias. */
     gf_copy(y, t2);
 }
 
 /** identity = (0,1) */
-const curve448_point_t curve448_point_identity = {{{{{0}}},{{{1}}},{{{1}}},{{{0}}}}};
+const curve448_point_t curve448_point_identity =
+    { {{{{0}}}, {{{1}}}, {{{1}}}, {{{0}}}} };
 
 static void
-point_double_internal (
-    curve448_point_t p,
-    const curve448_point_t q,
-    int before_double
-) {
+point_double_internal(curve448_point_t p,
+                      const curve448_point_t q, int before_double)
+{
     gf a, b, c, d;
-    gf_sqr ( c, q->x );
-    gf_sqr ( a, q->y );
-    gf_add_nr ( d, c, a );             /* 2+e */
-    gf_add_nr ( p->t, q->y, q->x );    /* 2+e */
-    gf_sqr ( b, p->t );
-    gf_subx_nr ( b, b, d, 3 );         /* 4+e */
-    gf_sub_nr ( p->t, a, c );          /* 3+e */
-    gf_sqr ( p->x, q->z );
-    gf_add_nr ( p->z, p->x, p->x );    /* 2+e */
-    gf_subx_nr ( a, p->z, p->t, 4 );   /* 6+e */
-    if (GF_HEADROOM == 5) gf_weak_reduce(a); /* or 1+e */
-    gf_mul ( p->x, a, b );
-    gf_mul ( p->z, p->t, a );
-    gf_mul ( p->y, p->t, d );
-    if (!before_double) gf_mul ( p->t, b, d );
+    gf_sqr(c, q->x);
+    gf_sqr(a, q->y);
+    gf_add_nr(d, c, a);         /* 2+e */
+    gf_add_nr(p->t, q->y, q->x); /* 2+e */
+    gf_sqr(b, p->t);
+    gf_subx_nr(b, b, d, 3);     /* 4+e */
+    gf_sub_nr(p->t, a, c);      /* 3+e */
+    gf_sqr(p->x, q->z);
+    gf_add_nr(p->z, p->x, p->x); /* 2+e */
+    gf_subx_nr(a, p->z, p->t, 4); /* 6+e */
+    if (GF_HEADROOM == 5)
+        gf_weak_reduce(a);      /* or 1+e */
+    gf_mul(p->x, a, b);
+    gf_mul(p->z, p->t, a);
+    gf_mul(p->y, p->t, d);
+    if (!before_double)
+        gf_mul(p->t, b, d);
 }
 
-void curve448_point_double(curve448_point_t p, const curve448_point_t q) {
-    point_double_internal(p,q,0);
+void curve448_point_double(curve448_point_t p, const curve448_point_t q)
+{
+    point_double_internal(p, q, 0);
 }
 
 /* Operations on [p]niels */
-static ossl_inline void
-cond_neg_niels (
-    niels_t n,
-    mask_t neg
-) {
+static ossl_inline void cond_neg_niels(niels_t n, mask_t neg)
+{
     gf_cond_swap(n->a, n->b, neg);
     gf_cond_neg(n->c, neg);
 }
 
-static void pt_to_pniels (
-    pniels_t b,
-    const curve448_point_t a
-) {
-    gf_sub ( b->n->a, a->y, a->x );
-    gf_add ( b->n->b, a->x, a->y );
-    gf_mulw ( b->n->c, a->t, 2*TWISTED_D );
-    gf_add ( b->z, a->z, a->z );
+static void pt_to_pniels(pniels_t b, const curve448_point_t a)
+{
+    gf_sub(b->n->a, a->y, a->x);
+    gf_add(b->n->b, a->x, a->y);
+    gf_mulw(b->n->c, a->t, 2 * TWISTED_D);
+    gf_add(b->z, a->z, a->z);
 }
 
-static void pniels_to_pt (
-    curve448_point_t e,
-    const pniels_t d
-) {
+static void pniels_to_pt(curve448_point_t e, const pniels_t d)
+{
     gf eu;
-    gf_add ( eu, d->n->b, d->n->a );
-    gf_sub ( e->y, d->n->b, d->n->a );
-    gf_mul ( e->t, e->y, eu);
-    gf_mul ( e->x, d->z, e->y );
-    gf_mul ( e->y, d->z, eu );
-    gf_sqr ( e->z, d->z );
+    gf_add(eu, d->n->b, d->n->a);
+    gf_sub(e->y, d->n->b, d->n->a);
+    gf_mul(e->t, e->y, eu);
+    gf_mul(e->x, d->z, e->y);
+    gf_mul(e->y, d->z, eu);
+    gf_sqr(e->z, d->z);
 }
 
-static void
-niels_to_pt (
-    curve448_point_t e,
-    const niels_t n
-) {
-    gf_add ( e->y, n->b, n->a );
-    gf_sub ( e->x, n->b, n->a );
-    gf_mul ( e->t, e->y, e->x );
-    gf_copy ( e->z, ONE );
+static void niels_to_pt(curve448_point_t e, const niels_t n)
+{
+    gf_add(e->y, n->b, n->a);
+    gf_sub(e->x, n->b, n->a);
+    gf_mul(e->t, e->y, e->x);
+    gf_copy(e->z, ONE);
 }
 
 static void
-add_niels_to_pt (
-    curve448_point_t d,
-    const niels_t e,
-    int before_double
-) {
+add_niels_to_pt(curve448_point_t d, const niels_t e, int before_double)
+{
     gf a, b, c;
-    gf_sub_nr ( b, d->y, d->x ); /* 3+e */
-    gf_mul ( a, e->a, b );
-    gf_add_nr ( b, d->x, d->y ); /* 2+e */
-    gf_mul ( d->y, e->b, b );
-    gf_mul ( d->x, e->c, d->t );
-    gf_add_nr ( c, a, d->y );    /* 2+e */
-    gf_sub_nr ( b, d->y, a );    /* 3+e */
-    gf_sub_nr ( d->y, d->z, d->x ); /* 3+e */
-    gf_add_nr ( a, d->x, d->z ); /* 2+e */
-    gf_mul ( d->z, a, d->y );
-    gf_mul ( d->x, d->y, b );
-    gf_mul ( d->y, a, c );
-    if (!before_double) gf_mul ( d->t, b, c );
+    gf_sub_nr(b, d->y, d->x);   /* 3+e */
+    gf_mul(a, e->a, b);
+    gf_add_nr(b, d->x, d->y);   /* 2+e */
+    gf_mul(d->y, e->b, b);
+    gf_mul(d->x, e->c, d->t);
+    gf_add_nr(c, a, d->y);      /* 2+e */
+    gf_sub_nr(b, d->y, a);      /* 3+e */
+    gf_sub_nr(d->y, d->z, d->x); /* 3+e */
+    gf_add_nr(a, d->x, d->z);   /* 2+e */
+    gf_mul(d->z, a, d->y);
+    gf_mul(d->x, d->y, b);
+    gf_mul(d->y, a, c);
+    if (!before_double)
+        gf_mul(d->t, b, c);
 }
 
 static void
-sub_niels_from_pt (
-    curve448_point_t d,
-    const niels_t e,
-    int before_double
-) {
+sub_niels_from_pt(curve448_point_t d, const niels_t e, int before_double)
+{
     gf a, b, c;
-    gf_sub_nr ( b, d->y, d->x ); /* 3+e */
-    gf_mul ( a, e->b, b );
-    gf_add_nr ( b, d->x, d->y ); /* 2+e */
-    gf_mul ( d->y, e->a, b );
-    gf_mul ( d->x, e->c, d->t );
-    gf_add_nr ( c, a, d->y );    /* 2+e */
-    gf_sub_nr ( b, d->y, a );    /* 3+e */
-    gf_add_nr ( d->y, d->z, d->x ); /* 2+e */
-    gf_sub_nr ( a, d->z, d->x ); /* 3+e */
-    gf_mul ( d->z, a, d->y );
-    gf_mul ( d->x, d->y, b );
-    gf_mul ( d->y, a, c );
-    if (!before_double) gf_mul ( d->t, b, c );
+    gf_sub_nr(b, d->y, d->x);   /* 3+e */
+    gf_mul(a, e->b, b);
+    gf_add_nr(b, d->x, d->y);   /* 2+e */
+    gf_mul(d->y, e->a, b);
+    gf_mul(d->x, e->c, d->t);
+    gf_add_nr(c, a, d->y);      /* 2+e */
+    gf_sub_nr(b, d->y, a);      /* 3+e */
+    gf_add_nr(d->y, d->z, d->x); /* 2+e */
+    gf_sub_nr(a, d->z, d->x);   /* 3+e */
+    gf_mul(d->z, a, d->y);
+    gf_mul(d->x, d->y, b);
+    gf_mul(d->y, a, c);
+    if (!before_double)
+        gf_mul(d->t, b, c);
 }
 
 static void
-add_pniels_to_pt (
-    curve448_point_t p,
-    const pniels_t pn,
-    int before_double
-) {
+add_pniels_to_pt(curve448_point_t p, const pniels_t pn, int before_double)
+{
     gf L0;
-    gf_mul ( L0, p->z, pn->z );
-    gf_copy ( p->z, L0 );
-    add_niels_to_pt( p, pn->n, before_double );
+    gf_mul(L0, p->z, pn->z);
+    gf_copy(p->z, L0);
+    add_niels_to_pt(p, pn->n, before_double);
 }
 
 static void
-sub_pniels_from_pt (
-    curve448_point_t p,
-    const pniels_t pn,
-    int before_double
-) {
+sub_pniels_from_pt(curve448_point_t p, const pniels_t pn, int before_double)
+{
     gf L0;
-    gf_mul ( L0, p->z, pn->z );
-    gf_copy ( p->z, L0 );
-    sub_niels_from_pt( p, pn->n, before_double );
+    gf_mul(L0, p->z, pn->z);
+    gf_copy(p->z, L0);
+    sub_niels_from_pt(p, pn->n, before_double);
 }
 
-decaf_bool_t curve448_point_eq ( const curve448_point_t p, const curve448_point_t q ) {
+decaf_bool_t curve448_point_eq(const curve448_point_t p,
+                               const curve448_point_t q)
+{
     mask_t succ;
 
     /* equality mod 2-torsion compares x/y */
     gf a, b;
-    gf_mul ( a, p->y, q->x );
-    gf_mul ( b, q->y, p->x );
-    succ = gf_eq(a,b);
+    gf_mul(a, p->y, q->x);
+    gf_mul(b, q->y, p->x);
+    succ = gf_eq(a, b);
 
     return mask_to_bool(succ);
 }
 
-decaf_bool_t curve448_point_valid (
-    const curve448_point_t p
-) {
+decaf_bool_t curve448_point_valid(const curve448_point_t p)
+{
     mask_t out;
 
-    gf a,b,c;
-    gf_mul(a,p->x,p->y);
-    gf_mul(b,p->z,p->t);
-    out = gf_eq(a,b);
-    gf_sqr(a,p->x);
-    gf_sqr(b,p->y);
-    gf_sub(a,b,a);
-    gf_sqr(b,p->t);
-    gf_mulw(c,b,TWISTED_D);
-    gf_sqr(b,p->z);
-    gf_add(b,b,c);
-    out &= gf_eq(a,b);
-    out &= ~gf_eq(p->z,ZERO);
+    gf a, b, c;
+    gf_mul(a, p->x, p->y);
+    gf_mul(b, p->z, p->t);
+    out = gf_eq(a, b);
+    gf_sqr(a, p->x);
+    gf_sqr(b, p->y);
+    gf_sub(a, b, a);
+    gf_sqr(b, p->t);
+    gf_mulw(c, b, TWISTED_D);
+    gf_sqr(b, p->z);
+    gf_add(b, b, c);
+    out &= gf_eq(a, b);
+    out &= ~gf_eq(p->z, ZERO);
     return mask_to_bool(out);
 }
 
 static ossl_inline void
-constant_time_lookup_niels (
-    niels_s *__restrict__ ni,
-    const niels_t *table,
-    int nelts,
-    int idx
-) {
+constant_time_lookup_niels(niels_s * __restrict__ ni,
+                           const niels_t * table, int nelts, int idx)
+{
     constant_time_lookup(ni, table, sizeof(niels_s), nelts, idx);
 }
 
-void curve448_precomputed_scalarmul (
-    curve448_point_t out,
-    const curve448_precomputed_s *table,
-    const curve448_scalar_t scalar
-) {
+void curve448_precomputed_scalarmul(curve448_point_t out,
+                                    const curve448_precomputed_s * table,
+                                    const curve448_scalar_t scalar)
+{
     int i;
-    unsigned j,k;
+    unsigned j, k;
     const unsigned int n = COMBS_N, t = COMBS_T, s = COMBS_S;
     niels_t ni;
-    
+
     curve448_scalar_t scalar1x;
     curve448_scalar_add(scalar1x, scalar, precomputed_scalarmul_adjustment);
-    curve448_scalar_halve(scalar1x,scalar1x);
-    
-    for (i=s-1; i>=0; i--) {
-        if (i != (int)s-1) point_double_internal(out,out,0);
-        
-        for (j=0; j<n; j++) {
+    curve448_scalar_halve(scalar1x, scalar1x);
+
+    for (i = s - 1; i >= 0; i--) {
+        if (i != (int)s - 1)
+            point_double_internal(out, out, 0);
+
+        for (j = 0; j < n; j++) {
             int tab = 0;
             mask_t invert;
-         
-            for (k=0; k<t; k++) {
-                unsigned int bit = i + s*(k + j*t);
+
+            for (k = 0; k < t; k++) {
+                unsigned int bit = i + s * (k + j * t);
                 if (bit < DECAF_448_SCALAR_BITS) {
-                    tab |= (scalar1x->limb[bit/WBITS] >> (bit%WBITS) & 1) << k;
+                    tab |=
+                        (scalar1x->limb[bit / WBITS] >> (bit % WBITS) & 1) << k;
                 }
             }
-            
-            invert = (tab>>(t-1))-1;
+
+            invert = (tab >> (t - 1)) - 1;
             tab ^= invert;
-            tab &= (1<<(t-1)) - 1;
+            tab &= (1 << (t - 1)) - 1;
 
-            constant_time_lookup_niels(ni, &table->table[j<<(t-1)], 1<<(t-1), tab);
+            constant_time_lookup_niels(ni, &table->table[j << (t - 1)],
+                                       1 << (t - 1), tab);
 
             cond_neg_niels(ni, invert);
-            if ((i!=(int)s-1)||j) {
-                add_niels_to_pt(out, ni, j==n-1 && i);
+            if ((i != (int)s - 1) || j) {
+                add_niels_to_pt(out, ni, j == n - 1 && i);
             } else {
                 niels_to_pt(out, ni);
             }
         }
     }
-    
-    OPENSSL_cleanse(ni,sizeof(ni));
-    OPENSSL_cleanse(scalar1x,sizeof(scalar1x));
+
+    OPENSSL_cleanse(ni, sizeof(ni));
+    OPENSSL_cleanse(scalar1x, sizeof(scalar1x));
 }
 
-void curve448_point_mul_by_ratio_and_encode_like_eddsa (
-    uint8_t enc[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const curve448_point_t p
-) {
-    
+void curve448_point_mul_by_ratio_and_encode_like_eddsa(uint8_t
+                                                       enc
+                                                       [DECAF_EDDSA_448_PUBLIC_BYTES],
+                                                       const curve448_point_t p)
+{
+
     /* The point is now on the twisted curve.  Move it to untwisted. */
     gf x, y, z, t;
     curve448_point_t q;
-    curve448_point_copy(q,p);
+    curve448_point_copy(q, p);
 
     {
         /* 4-isogeny: 2xy/(y^+x^2), (y^2-x^2)/(2z^2-y^2+x^2) */
         gf u;
-        gf_sqr ( x, q->x );
-        gf_sqr ( t, q->y );
-        gf_add( u, x, t );
-        gf_add( z, q->y, q->x );
-        gf_sqr ( y, z);
-        gf_sub ( y, y, u );
-        gf_sub ( z, t, x );
-        gf_sqr ( x, q->z );
-        gf_add ( t, x, x); 
-        gf_sub ( t, t, z);
-        gf_mul ( x, t, y );
-        gf_mul ( y, z, u );
-        gf_mul ( z, u, t );
-        OPENSSL_cleanse(u,sizeof(u));
+        gf_sqr(x, q->x);
+        gf_sqr(t, q->y);
+        gf_add(u, x, t);
+        gf_add(z, q->y, q->x);
+        gf_sqr(y, z);
+        gf_sub(y, y, u);
+        gf_sub(z, t, x);
+        gf_sqr(x, q->z);
+        gf_add(t, x, x);
+        gf_sub(t, t, z);
+        gf_mul(x, t, y);
+        gf_mul(y, z, u);
+        gf_mul(z, u, t);
+        OPENSSL_cleanse(u, sizeof(u));
     }
 
     /* Affinize */
-    gf_invert(z,z,1);
-    gf_mul(t,x,z);
-    gf_mul(x,y,z);
-    
+    gf_invert(z, z, 1);
+    gf_mul(t, x, z);
+    gf_mul(x, y, z);
+
     /* Encode */
-    enc[DECAF_EDDSA_448_PRIVATE_BYTES-1] = 0;
+    enc[DECAF_EDDSA_448_PRIVATE_BYTES - 1] = 0;
     gf_serialize(enc, x, 1);
-    enc[DECAF_EDDSA_448_PRIVATE_BYTES-1] |= 0x80 & gf_lobit(t);
+    enc[DECAF_EDDSA_448_PRIVATE_BYTES - 1] |= 0x80 & gf_lobit(t);
 
-    OPENSSL_cleanse(x,sizeof(x));
-    OPENSSL_cleanse(y,sizeof(y));
-    OPENSSL_cleanse(z,sizeof(z));
-    OPENSSL_cleanse(t,sizeof(t));
+    OPENSSL_cleanse(x, sizeof(x));
+    OPENSSL_cleanse(y, sizeof(y));
+    OPENSSL_cleanse(z, sizeof(z));
+    OPENSSL_cleanse(t, sizeof(t));
     curve448_point_destroy(q);
 }
 
-
-decaf_error_t curve448_point_decode_like_eddsa_and_mul_by_ratio (
-    curve448_point_t p,
-    const uint8_t enc[DECAF_EDDSA_448_PUBLIC_BYTES]
-) {
+decaf_error_t curve448_point_decode_like_eddsa_and_mul_by_ratio(curve448_point_t
+                                                                p,
+                                                                const uint8_t
+                                                                enc
+                                                                [DECAF_EDDSA_448_PUBLIC_BYTES]
+    )
+{
     uint8_t enc2[DECAF_EDDSA_448_PUBLIC_BYTES];
     mask_t low;
     mask_t succ;
 
-    memcpy(enc2,enc,sizeof(enc2));
+    memcpy(enc2, enc, sizeof(enc2));
+
+    low = ~word_is_zero(enc2[DECAF_EDDSA_448_PRIVATE_BYTES - 1] & 0x80);
+    enc2[DECAF_EDDSA_448_PRIVATE_BYTES - 1] &= ~0x80;
 
-    low = ~word_is_zero(enc2[DECAF_EDDSA_448_PRIVATE_BYTES-1] & 0x80);
-    enc2[DECAF_EDDSA_448_PRIVATE_BYTES-1] &= ~0x80;
-    
     succ = gf_deserialize(p->y, enc2, 1, 0);
 #if 0 == 0
-    succ &= word_is_zero(enc2[DECAF_EDDSA_448_PRIVATE_BYTES-1]);
+    succ &= word_is_zero(enc2[DECAF_EDDSA_448_PRIVATE_BYTES - 1]);
 #endif
 
-    gf_sqr(p->x,p->y);
-    gf_sub(p->z,ONE,p->x); /* num = 1-y^2 */
-    gf_mulw(p->t,p->x,EDWARDS_D); /* dy^2 */
-    gf_sub(p->t,ONE,p->t); /* denom = 1-dy^2 or 1-d + dy^2 */
-    
-    gf_mul(p->x,p->z,p->t);
-    succ &= gf_isr(p->t,p->x); /* 1/sqrt(num * denom) */
-    
-    gf_mul(p->x,p->t,p->z); /* sqrt(num / denom) */
-    gf_cond_neg(p->x,gf_lobit(p->x)^low);
-    gf_copy(p->z,ONE);
-  
+    gf_sqr(p->x, p->y);
+    gf_sub(p->z, ONE, p->x);    /* num = 1-y^2 */
+    gf_mulw(p->t, p->x, EDWARDS_D); /* dy^2 */
+    gf_sub(p->t, ONE, p->t);    /* denom = 1-dy^2 or 1-d + dy^2 */
+
+    gf_mul(p->x, p->z, p->t);
+    succ &= gf_isr(p->t, p->x); /* 1/sqrt(num * denom) */
+
+    gf_mul(p->x, p->t, p->z);   /* sqrt(num / denom) */
+    gf_cond_neg(p->x, gf_lobit(p->x) ^ low);
+    gf_copy(p->z, ONE);
+
     {
         /* 4-isogeny 2xy/(y^2-ax^2), (y^2+ax^2)/(2-y^2-ax^2) */
         gf a, b, c, d;
-        gf_sqr ( c, p->x );
-        gf_sqr ( a, p->y );
-        gf_add ( d, c, a );
-        gf_add ( p->t, p->y, p->x );
-        gf_sqr ( b, p->t );
-        gf_sub ( b, b, d );
-        gf_sub ( p->t, a, c );
-        gf_sqr ( p->x, p->z );
-        gf_add ( p->z, p->x, p->x );
-        gf_sub ( a, p->z, d );
-        gf_mul ( p->x, a, b );
-        gf_mul ( p->z, p->t, a );
-        gf_mul ( p->y, p->t, d );
-        gf_mul ( p->t, b, d );
-        OPENSSL_cleanse(a,sizeof(a));
-        OPENSSL_cleanse(b,sizeof(b));
-        OPENSSL_cleanse(c,sizeof(c));
-        OPENSSL_cleanse(d,sizeof(d));
+        gf_sqr(c, p->x);
+        gf_sqr(a, p->y);
+        gf_add(d, c, a);
+        gf_add(p->t, p->y, p->x);
+        gf_sqr(b, p->t);
+        gf_sub(b, b, d);
+        gf_sub(p->t, a, c);
+        gf_sqr(p->x, p->z);
+        gf_add(p->z, p->x, p->x);
+        gf_sub(a, p->z, d);
+        gf_mul(p->x, a, b);
+        gf_mul(p->z, p->t, a);
+        gf_mul(p->y, p->t, d);
+        gf_mul(p->t, b, d);
+        OPENSSL_cleanse(a, sizeof(a));
+        OPENSSL_cleanse(b, sizeof(b));
+        OPENSSL_cleanse(c, sizeof(c));
+        OPENSSL_cleanse(d, sizeof(d));
     }
-    
-    OPENSSL_cleanse(enc2,sizeof(enc2));
+
+    OPENSSL_cleanse(enc2, sizeof(enc2));
     assert(curve448_point_valid(p) || ~succ);
-    
+
     return decaf_succeed_if(mask_to_bool(succ));
 }
 
-decaf_error_t decaf_x448 (
-    uint8_t out[X_PUBLIC_BYTES],
-    const uint8_t base[X_PUBLIC_BYTES],
-    const uint8_t scalar[X_PRIVATE_BYTES]
-{
+decaf_error_t decaf_x448(uint8_t out[X_PUBLIC_BYTES],
+                         const uint8_t base[X_PUBLIC_BYTES],
+                         const uint8_t scalar[X_PRIVATE_BYTES]
+    )
+{
     gf x1, x2, z2, x3, z3, t1, t2;
     int t;
     mask_t swap = 0;
     mask_t nz;
 
-    ignore_result(gf_deserialize(x1,base,1,0));
-    gf_copy(x2,ONE);
-    gf_copy(z2,ZERO);
-    gf_copy(x3,x1);
-    gf_copy(z3,ONE);
-    
-    for (t = X_PRIVATE_BITS-1; t>=0; t--) {
-        uint8_t sb = scalar[t/8];
+    ignore_result(gf_deserialize(x1, base, 1, 0));
+    gf_copy(x2, ONE);
+    gf_copy(z2, ZERO);
+    gf_copy(x3, x1);
+    gf_copy(z3, ONE);
+
+    for (t = X_PRIVATE_BITS - 1; t >= 0; t--) {
+        uint8_t sb = scalar[t / 8];
         mask_t k_t;
-        
+
         /* Scalar conditioning */
-        if (t/8==0) sb &= -(uint8_t)COFACTOR;
-        else if (t == X_PRIVATE_BITS-1) sb = -1;
-        
-        k_t = (sb>>(t%8)) & 1;
-        k_t = -k_t; /* set to all 0s or all 1s */
-        
+        if (t / 8 == 0)
+            sb &= -(uint8_t)COFACTOR;
+        else if (t == X_PRIVATE_BITS - 1)
+            sb = -1;
+
+        k_t = (sb >> (t % 8)) & 1;
+        k_t = -k_t;             /* set to all 0s or all 1s */
+
         swap ^= k_t;
-        gf_cond_swap(x2,x3,swap);
-        gf_cond_swap(z2,z3,swap);
+        gf_cond_swap(x2, x3, swap);
+        gf_cond_swap(z2, z3, swap);
         swap = k_t;
-        
-        gf_add_nr(t1,x2,z2); /* A = x2 + z2 */        /* 2+e */
-        gf_sub_nr(t2,x2,z2); /* B = x2 - z2 */        /* 3+e */
-        gf_sub_nr(z2,x3,z3); /* D = x3 - z3 */        /* 3+e */
-        gf_mul(x2,t1,z2);    /* DA */
-        gf_add_nr(z2,z3,x3); /* C = x3 + z3 */        /* 2+e */
-        gf_mul(x3,t2,z2);    /* CB */
-        gf_sub_nr(z3,x2,x3); /* DA-CB */              /* 3+e */
-        gf_sqr(z2,z3);       /* (DA-CB)^2 */
-        gf_mul(z3,x1,z2);    /* z3 = x1(DA-CB)^2 */
-        gf_add_nr(z2,x2,x3); /* (DA+CB) */            /* 2+e */
-        gf_sqr(x3,z2);       /* x3 = (DA+CB)^2 */
-        
-        gf_sqr(z2,t1);       /* AA = A^2 */
-        gf_sqr(t1,t2);       /* BB = B^2 */
-        gf_mul(x2,z2,t1);    /* x2 = AA*BB */
-        gf_sub_nr(t2,z2,t1); /* E = AA-BB */          /* 3+e */
-        
-        gf_mulw(t1,t2,-EDWARDS_D); /* E*-d = a24*E */
-        gf_add_nr(t1,t1,z2); /* AA + a24*E */         /* 2+e */
-        gf_mul(z2,t2,t1); /* z2 = E(AA+a24*E) */
+
+        gf_add_nr(t1, x2, z2);  /* A = x2 + z2 *//* 2+e */
+        gf_sub_nr(t2, x2, z2);  /* B = x2 - z2 *//* 3+e */
+        gf_sub_nr(z2, x3, z3);  /* D = x3 - z3 *//* 3+e */
+        gf_mul(x2, t1, z2);     /* DA */
+        gf_add_nr(z2, z3, x3);  /* C = x3 + z3 *//* 2+e */
+        gf_mul(x3, t2, z2);     /* CB */
+        gf_sub_nr(z3, x2, x3);  /* DA-CB *//* 3+e */
+        gf_sqr(z2, z3);         /* (DA-CB)^2 */
+        gf_mul(z3, x1, z2);     /* z3 = x1(DA-CB)^2 */
+        gf_add_nr(z2, x2, x3);  /* (DA+CB) *//* 2+e */
+        gf_sqr(x3, z2);         /* x3 = (DA+CB)^2 */
+
+        gf_sqr(z2, t1);         /* AA = A^2 */
+        gf_sqr(t1, t2);         /* BB = B^2 */
+        gf_mul(x2, z2, t1);     /* x2 = AA*BB */
+        gf_sub_nr(t2, z2, t1);  /* E = AA-BB *//* 3+e */
+
+        gf_mulw(t1, t2, -EDWARDS_D); /* E*-d = a24*E */
+        gf_add_nr(t1, t1, z2);  /* AA + a24*E *//* 2+e */
+        gf_mul(z2, t2, t1);     /* z2 = E(AA+a24*E) */
     }
-    
+
     /* Finish */
-    gf_cond_swap(x2,x3,swap);
-    gf_cond_swap(z2,z3,swap);
-    gf_invert(z2,z2,0);
-    gf_mul(x1,x2,z2);
-    gf_serialize(out,x1,1);
-    nz = ~gf_eq(x1,ZERO);
-    
-    OPENSSL_cleanse(x1,sizeof(x1));
-    OPENSSL_cleanse(x2,sizeof(x2));
-    OPENSSL_cleanse(z2,sizeof(z2));
-    OPENSSL_cleanse(x3,sizeof(x3));
-    OPENSSL_cleanse(z3,sizeof(z3));
-    OPENSSL_cleanse(t1,sizeof(t1));
-    OPENSSL_cleanse(t2,sizeof(t2));
-    
+    gf_cond_swap(x2, x3, swap);
+    gf_cond_swap(z2, z3, swap);
+    gf_invert(z2, z2, 0);
+    gf_mul(x1, x2, z2);
+    gf_serialize(out, x1, 1);
+    nz = ~gf_eq(x1, ZERO);
+
+    OPENSSL_cleanse(x1, sizeof(x1));
+    OPENSSL_cleanse(x2, sizeof(x2));
+    OPENSSL_cleanse(z2, sizeof(z2));
+    OPENSSL_cleanse(x3, sizeof(x3));
+    OPENSSL_cleanse(z3, sizeof(z3));
+    OPENSSL_cleanse(t1, sizeof(t1));
+    OPENSSL_cleanse(t2, sizeof(t2));
+
     return decaf_succeed_if(mask_to_bool(nz));
 }
 
 /* Thanks Johan Pascal */
-void decaf_ed448_convert_public_key_to_x448 (
-    uint8_t x[DECAF_X448_PUBLIC_BYTES],
-    const uint8_t ed[DECAF_EDDSA_448_PUBLIC_BYTES]
-) {
+void decaf_ed448_convert_public_key_to_x448(uint8_t x[DECAF_X448_PUBLIC_BYTES],
+                                            const uint8_t
+                                            ed[DECAF_EDDSA_448_PUBLIC_BYTES]
+    )
+{
     gf y;
-    const uint8_t mask = (uint8_t)(0xFE<<(7));
+    const uint8_t mask = (uint8_t)(0xFE << (7));
     ignore_result(gf_deserialize(y, ed, 1, mask));
-    
+
     {
-        gf n,d;
-        
+        gf n, d;
+
         /* u = y^2 * (1-dy^2) / (1-y^2) */
-        gf_sqr(n,y); /* y^2*/
-        gf_sub(d,ONE,n); /* 1-y^2*/
-        gf_invert(d,d,0); /* 1/(1-y^2)*/
-        gf_mul(y,n,d); /* y^2 / (1-y^2) */
-        gf_mulw(d,n,EDWARDS_D); /* dy^2*/
-        gf_sub(d, ONE, d); /* 1-dy^2*/
-        gf_mul(n, y, d); /* y^2 * (1-dy^2) / (1-y^2) */
-        gf_serialize(x,n,1);
-        
-        OPENSSL_cleanse(y,sizeof(y));
-        OPENSSL_cleanse(n,sizeof(n));
-        OPENSSL_cleanse(d,sizeof(d));
+        gf_sqr(n, y);           /* y^2 */
+        gf_sub(d, ONE, n);      /* 1-y^2 */
+        gf_invert(d, d, 0);     /* 1/(1-y^2) */
+        gf_mul(y, n, d);        /* y^2 / (1-y^2) */
+        gf_mulw(d, n, EDWARDS_D); /* dy^2 */
+        gf_sub(d, ONE, d);      /* 1-dy^2 */
+        gf_mul(n, y, d);        /* y^2 * (1-dy^2) / (1-y^2) */
+        gf_serialize(x, n, 1);
+
+        OPENSSL_cleanse(y, sizeof(y));
+        OPENSSL_cleanse(n, sizeof(n));
+        OPENSSL_cleanse(d, sizeof(d));
     }
 }
 
-void curve448_point_mul_by_ratio_and_encode_like_x448 (
-    uint8_t out[X_PUBLIC_BYTES],
-    const curve448_point_t p
-{
+void curve448_point_mul_by_ratio_and_encode_like_x448(uint8_t
+                                                      out[X_PUBLIC_BYTES],
+                                                      const curve448_point_t p)
+{
     curve448_point_t q;
-    curve448_point_copy(q,p);
-    gf_invert(q->t,q->x,0); /* 1/x */
-    gf_mul(q->z,q->t,q->y); /* y/x */
-    gf_sqr(q->y,q->z); /* (y/x)^2 */
-    gf_serialize(out,q->y,1);
+    curve448_point_copy(q, p);
+    gf_invert(q->t, q->x, 0);   /* 1/x */
+    gf_mul(q->z, q->t, q->y);   /* y/x */
+    gf_sqr(q->y, q->z);         /* (y/x)^2 */
+    gf_serialize(out, q->y, 1);
     curve448_point_destroy(q);
 }
 
-void decaf_x448_derive_public_key (
-    uint8_t out[X_PUBLIC_BYTES],
-    const uint8_t scalar[X_PRIVATE_BYTES]
-{
+void decaf_x448_derive_public_key(uint8_t out[X_PUBLIC_BYTES],
+                                  const uint8_t scalar[X_PRIVATE_BYTES]
+    )
+{
     /* Scalar conditioning */
     uint8_t scalar2[X_PRIVATE_BYTES];
     curve448_scalar_t the_scalar;
     curve448_point_t p;
     unsigned int i;
 
-    memcpy(scalar2,scalar,sizeof(scalar2));
+    memcpy(scalar2, scalar, sizeof(scalar2));
     scalar2[0] &= -(uint8_t)COFACTOR;
-    
-    scalar2[X_PRIVATE_BYTES-1] &= ~(-1u<<((X_PRIVATE_BITS+7)%8));
-    scalar2[X_PRIVATE_BYTES-1] |= 1<<((X_PRIVATE_BITS+7)%8);
-    
-    curve448_scalar_decode_long(the_scalar,scalar2,sizeof(scalar2));
-    
+
+    scalar2[X_PRIVATE_BYTES - 1] &= ~(-1u << ((X_PRIVATE_BITS + 7) % 8));
+    scalar2[X_PRIVATE_BYTES - 1] |= 1 << ((X_PRIVATE_BITS + 7) % 8);
+
+    curve448_scalar_decode_long(the_scalar, scalar2, sizeof(scalar2));
+
     /* Compensate for the encoding ratio */
-    for (i=1; i<DECAF_X448_ENCODE_RATIO; i<<=1) {
-        curve448_scalar_halve(the_scalar,the_scalar);
+    for (i = 1; i < DECAF_X448_ENCODE_RATIO; i <<= 1) {
+        curve448_scalar_halve(the_scalar, the_scalar);
     }
-    curve448_precomputed_scalarmul(p,curve448_precomputed_base,the_scalar);
-    curve448_point_mul_by_ratio_and_encode_like_x448(out,p);
+    curve448_precomputed_scalarmul(p, curve448_precomputed_base, the_scalar);
+    curve448_point_mul_by_ratio_and_encode_like_x448(out, p);
     curve448_point_destroy(p);
 }
 
@@ -555,18 +558,17 @@ void decaf_x448_derive_public_key (
  * Control for variable-time scalar multiply algorithms.
  */
 struct smvt_control {
-  int power, addend;
+    int power, addend;
 };
 
-static int recode_wnaf (
-    struct smvt_control *control, /* [nbits/(table_bits+1) + 3] */
-    const curve448_scalar_t scalar,
-    unsigned int table_bits
-) {
-    unsigned int table_size = DECAF_448_SCALAR_BITS/(table_bits+1) + 3;
+static int recode_wnaf(struct smvt_control *control, /* [nbits/(table_bits+1) +
+                                                      * 3] */
+                       const curve448_scalar_t scalar, unsigned int table_bits)
+{
+    unsigned int table_size = DECAF_448_SCALAR_BITS / (table_bits + 1) + 3;
     int position = table_size - 1; /* at the end */
     uint64_t current = scalar->limb[0] & 0xFFFF;
-    uint32_t mask = (1<<(table_bits+1))-1;
+    uint32_t mask = (1 << (table_bits + 1)) - 1;
     unsigned int w;
     const unsigned int B_OVER_16 = sizeof(scalar->limb[0]) / 2;
     unsigned int n, i;
@@ -576,86 +578,94 @@ static int recode_wnaf (
     control[position].addend = 0;
     position--;
 
-    /* PERF: Could negate scalar if it's large.  But then would need more cases
-     * in the actual code that uses it, all for an expected reduction of like 1/5 op.
-     * Probably not worth it.
+    /*
+     * PERF: Could negate scalar if it's large.  But then would need more cases
+     * in the actual code that uses it, all for an expected reduction of like
+     * 1/5 op. Probably not worth it.
      */
 
-    for (w = 1; w<(DECAF_448_SCALAR_BITS-1)/16+3; w++) {
-        if (w < (DECAF_448_SCALAR_BITS-1)/16+1) {
+    for (w = 1; w < (DECAF_448_SCALAR_BITS - 1) / 16 + 3; w++) {
+        if (w < (DECAF_448_SCALAR_BITS - 1) / 16 + 1) {
             /* Refill the 16 high bits of current */
-            current += (uint32_t)((scalar->limb[w/B_OVER_16]>>(16*(w%B_OVER_16)))<<16);
+            current +=
+                (uint32_t)((scalar->limb[w / B_OVER_16] >> (16 *
+                                                            (w %
+                                                             B_OVER_16))) <<
+                           16);
         }
-        
+
         while (current & 0xFFFF) {
-            uint32_t pos = __builtin_ctz((uint32_t)current), odd = (uint32_t)current >> pos;
+            uint32_t pos = __builtin_ctz((uint32_t)current), odd =
+                (uint32_t)current >> pos;
             int32_t delta = odd & mask;
 
             assert(position >= 0);
-            if (odd & 1<<(table_bits+1)) delta -= (1<<(table_bits+1));
+            if (odd & 1 << (table_bits + 1))
+                delta -= (1 << (table_bits + 1));
             current -= delta << pos;
-            control[position].power = pos + 16*(w-1);
+            control[position].power = pos + 16 * (w - 1);
             control[position].addend = delta;
             position--;
         }
         current >>= 16;
     }
-    assert(current==0);
-    
+    assert(current == 0);
+
     position++;
     n = table_size - position;
-    for (i=0; i<n; i++) {
-        control[i] = control[i+position];
+    for (i = 0; i < n; i++) {
+        control[i] = control[i + position];
     }
-    return n-1;
+    return n - 1;
 }
 
 static void
-prepare_wnaf_table(
-    pniels_t *output,
-    const curve448_point_t working,
-    unsigned int tbits
-) {
+prepare_wnaf_table(pniels_t * output,
+                   const curve448_point_t working, unsigned int tbits)
+{
     curve448_point_t tmp;
     int i;
     pniels_t twop;
 
     pt_to_pniels(output[0], working);
 
-    if (tbits == 0) return;
+    if (tbits == 0)
+        return;
 
-    curve448_point_double(tmp,working);
+    curve448_point_double(tmp, working);
     pt_to_pniels(twop, tmp);
 
-    add_pniels_to_pt(tmp, output[0],0);
+    add_pniels_to_pt(tmp, output[0], 0);
     pt_to_pniels(output[1], tmp);
 
-    for (i=2; i < 1<<tbits; i++) {
-        add_pniels_to_pt(tmp, twop,0);
+    for (i = 2; i < 1 << tbits; i++) {
+        add_pniels_to_pt(tmp, twop, 0);
         pt_to_pniels(output[i], tmp);
     }
-    
+
     curve448_point_destroy(tmp);
-    OPENSSL_cleanse(twop,sizeof(twop));
+    OPENSSL_cleanse(twop, sizeof(twop));
 }
 
 extern const gf curve448_precomputed_wnaf_as_fe[];
-static const niels_t *curve448_wnaf_base = (const niels_t *)curve448_precomputed_wnaf_as_fe;
-
-void curve448_base_double_scalarmul_non_secret (
-    curve448_point_t combo,
-    const curve448_scalar_t scalar1,
-    const curve448_point_t base2,
-    const curve448_scalar_t scalar2
-{
+static const niels_t *curve448_wnaf_base =
+    (const niels_t *)curve448_precomputed_wnaf_as_fe;
+
+void curve448_base_double_scalarmul_non_secret(curve448_point_t combo,
+                                               const curve448_scalar_t scalar1,
+                                               const curve448_point_t base2,
+                                               const curve448_scalar_t scalar2)
+{
     const int table_bits_var = DECAF_WNAF_VAR_TABLE_BITS,
         table_bits_pre = DECAF_WNAF_FIXED_TABLE_BITS;
-    struct smvt_control control_var[DECAF_448_SCALAR_BITS/(DECAF_WNAF_VAR_TABLE_BITS+1)+3];
-    struct smvt_control control_pre[DECAF_448_SCALAR_BITS/(DECAF_WNAF_FIXED_TABLE_BITS+1)+3];
+    struct smvt_control control_var[DECAF_448_SCALAR_BITS /
+                                    (DECAF_WNAF_VAR_TABLE_BITS + 1) + 3];
+    struct smvt_control control_pre[DECAF_448_SCALAR_BITS /
+                                    (DECAF_WNAF_FIXED_TABLE_BITS + 1) + 3];
     int ncb_pre = recode_wnaf(control_pre, scalar1, table_bits_pre);
     int ncb_var = recode_wnaf(control_var, scalar2, table_bits_var);
-    pniels_t precmp_var[1<<DECAF_WNAF_VAR_TABLE_BITS];
-    int contp=0, contv=0, i;
+    pniels_t precmp_var[1 << DECAF_WNAF_VAR_TABLE_BITS];
+    int contp = 0, contv = 0, i;
 
     prepare_wnaf_table(precmp_var, base2, table_bits_var);
     i = control_var[0].power;
@@ -666,27 +676,34 @@ void curve448_base_double_scalarmul_non_secret (
     } else if (i > control_pre[0].power) {
         pniels_to_pt(combo, precmp_var[control_var[0].addend >> 1]);
         contv++;
-    } else if (i == control_pre[0].power && i >=) {
+    } else if (i == control_pre[0].power && i >= 0) {
         pniels_to_pt(combo, precmp_var[control_var[0].addend >> 1]);
-        add_niels_to_pt(combo, curve448_wnaf_base[control_pre[0].addend >> 1], i);
-        contv++; contp++;
+        add_niels_to_pt(combo, curve448_wnaf_base[control_pre[0].addend >> 1],
+                        i);
+        contv++;
+        contp++;
     } else {
         i = control_pre[0].power;
         niels_to_pt(combo, curve448_wnaf_base[control_pre[0].addend >> 1]);
         contp++;
     }
-    
+
     for (i--; i >= 0; i--) {
-        int cv = (i==control_var[contv].power), cp = (i==control_pre[contp].power);
-        point_double_internal(combo,combo,i && !(cv||cp));
+        int cv = (i == control_var[contv].power), cp =
+            (i == control_pre[contp].power);
+        point_double_internal(combo, combo, i && !(cv || cp));
 
         if (cv) {
             assert(control_var[contv].addend);
 
             if (control_var[contv].addend > 0) {
-                add_pniels_to_pt(combo, precmp_var[control_var[contv].addend >> 1], i&&!cp);
+                add_pniels_to_pt(combo,
+                                 precmp_var[control_var[contv].addend >> 1], i
+                                 && !cp);
             } else {
-                sub_pniels_from_pt(combo, precmp_var[(-control_var[contv].addend) >> 1], i&&!cp);
+                sub_pniels_from_pt(combo,
+                                   precmp_var[(-control_var[contv].addend) >>
+                                              1], i && !cp);
             }
             contv++;
         }
@@ -695,34 +712,39 @@ void curve448_base_double_scalarmul_non_secret (
             assert(control_pre[contp].addend);
 
             if (control_pre[contp].addend > 0) {
-                add_niels_to_pt(combo, curve448_wnaf_base[control_pre[contp].addend >> 1], i);
+                add_niels_to_pt(combo,
+                                curve448_wnaf_base[control_pre[contp].addend >>
+                                                   1], i);
             } else {
-                sub_niels_from_pt(combo, curve448_wnaf_base[(-control_pre[contp].addend) >> 1], i);
+                sub_niels_from_pt(combo,
+                                  curve448_wnaf_base[(-control_pre
+                                                      [contp].addend) >> 1], i);
             }
             contp++;
         }
     }
-    
-    /* This function is non-secret, but whatever this is cheap. */
-    OPENSSL_cleanse(control_var,sizeof(control_var));
-    OPENSSL_cleanse(control_pre,sizeof(control_pre));
-    OPENSSL_cleanse(precmp_var,sizeof(precmp_var));
 
-    assert(contv == ncb_var); (void)ncb_var;
-    assert(contp == ncb_pre); (void)ncb_pre;
+    /* This function is non-secret, but whatever this is cheap. */
+    OPENSSL_cleanse(control_var, sizeof(control_var));
+    OPENSSL_cleanse(control_pre, sizeof(control_pre));
+    OPENSSL_cleanse(precmp_var, sizeof(precmp_var));
+
+    assert(contv == ncb_var);
+    (void)ncb_var;
+    assert(contp == ncb_pre);
+    (void)ncb_pre;
 }
 
-void curve448_point_destroy (
-    curve448_point_t point
-) {
+void curve448_point_destroy(curve448_point_t point)
+{
     OPENSSL_cleanse(point, sizeof(curve448_point_t));
 }
 
 int X448(uint8_t out_shared_key[56], const uint8_t private_key[56],
          const uint8_t peer_public_value[56])
 {
-  return decaf_x448(out_shared_key, peer_public_value, private_key)
-         == DECAF_SUCCESS;
+    return decaf_x448(out_shared_key, peer_public_value, private_key)
+        == DECAF_SUCCESS;
 }
 
 void X448_public_from_private(uint8_t out_public_value[56],
index 1cbe56f5e415a082551ab5cdf64e2d44d0f7cc33..d363ec13d714d502086754ac26b20f6f415864c5 100644 (file)
 #include "point_448.h"
 
 const gf curve448_precomputed_base_as_fe[240]
-VECTOR_ALIGNED __attribute__((visibility("hidden"))) = {
-  {FIELD_LITERAL(0x00cc3b062366f4cc,0x003d6e34e314aa3c,0x00d51c0a7521774d,0x0094e060eec6ab8b,0x00d21291b4d80082,0x00befed12b55ef1e,0x00c3dd2df5c94518,0x00e0a7b112b8d4e6)},
-  {FIELD_LITERAL(0x0019eb5608d8723a,0x00d1bab52fb3aedb,0x00270a7311ebc90c,0x0037c12b91be7f13,0x005be16cd8b5c704,0x003e181acda888e1,0x00bc1f00fc3fc6d0,0x00d3839bfa319e20)},
-  {FIELD_LITERAL(0x003caeb88611909f,0x00ea8b378c4df3d4,0x00b3295b95a5a19a,0x00a65f97514bdfb5,0x00b39efba743cab1,0x0016ba98b862fd2d,0x0001508812ee71d7,0x000a75740eea114a)},
-  {FIELD_LITERAL(0x00ebcf0eb649f823,0x00166d332e98ea03,0x0059ddf64f5cd5f6,0x0047763123d9471b,0x00a64065c53ef62f,0x00978e44c480153d,0x000b5b2a0265f194,0x0046a24b9f32965a)},
-  {FIELD_LITERAL(0x00b9eef787034df0,0x0020bc24de3390cd,0x000022160bae99bb,0x00ae66e886e97946,0x0048d4bbe02cbb8b,0x0072ba97b34e38d4,0x00eae7ec8f03e85a,0x005ba92ecf808b2c)},
-  {FIELD_LITERAL(0x00c9cfbbe74258fd,0x00843a979ea9eaa7,0x000cbb4371cfbe90,0x0059bac8f7f0a628,0x004b3dff882ff530,0x0011869df4d90733,0x00595aa71f4abfc2,0x0070e2d38990c2e6)},
-  {FIELD_LITERAL(0x00de2010c0a01733,0x00c739a612e24297,0x00a7212643141d7c,0x00f88444f6b67c11,0x00484b7b16ec28f2,0x009c1b8856af9c68,0x00ff4669591fe9d6,0x0054974be08a32c8)},
-  {FIELD_LITERAL(0x0010de3fd682ceed,0x008c07642d83ca4e,0x0013bb064e00a1cc,0x009411ae27870e11,0x00ea8e5b4d531223,0x0032fe7d2aaece2e,0x00d989e243e7bb41,0x000fe79a508e9b8b)},
-  {FIELD_LITERAL(0x005e0426b9bfc5b1,0x0041a5b1d29ee4fa,0x0015b0def7774391,0x00bc164f1f51af01,0x00d543b0942797b9,0x003c129b6398099c,0x002b114c6e5adf18,0x00b4e630e4018a7b)},
-  {FIELD_LITERAL(0x00d490afc95f8420,0x00b096bf50c1d9b9,0x00799fd707679866,0x007c74d9334afbea,0x00efaa8be80ff4ed,0x0075c4943bb81694,0x00c21c2fca161f36,0x00e77035d492bfee)},
-  {FIELD_LITERAL(0x006658a190dd6661,0x00e0e9bab38609a6,0x0028895c802237ed,0x006a0229c494f587,0x002dcde96c9916b7,0x00d158822de16218,0x00173b917a06856f,0x00ca78a79ae07326)},
-  {FIELD_LITERAL(0x00e35bfc79caced4,0x0087238a3e1fe3bb,0x00bcbf0ff4ceff5b,0x00a19c1c94099b91,0x0071e102b49db976,0x0059e3d004eada1e,0x008da78afa58a47e,0x00579c8ebf269187)},
-  {FIELD_LITERAL(0x00a16c2905eee75f,0x009d4bcaea2c7e1d,0x00d3bd79bfad19df,0x0050da745193342c,0x006abdb8f6b29ab1,0x00a24fe0a4fef7ef,0x0063730da1057dfb,0x00a08c312c8eb108)},
-  {FIELD_LITERAL(0x00b583be005375be,0x00a40c8f8a4e3df4,0x003fac4a8f5bdbf7,0x00d4481d872cd718,0x004dc8749cdbaefe,0x00cce740d5e5c975,0x000b1c1f4241fd21,0x00a76de1b4e1cd07)},
-  {FIELD_LITERAL(0x007a076500d30b62,0x000a6e117b7f090f,0x00c8712ae7eebd9a,0x000fbd6c1d5f6ff7,0x003a7977246ebf11,0x00166ed969c6600e,0x00aa42e469c98bec,0x00dc58f307cf0666)},
-  {FIELD_LITERAL(0x004b491f65a9a28b,0x006a10309e8a55b7,0x00b67210185187ef,0x00cf6497b12d9b8f,0x0085778c56e2b1ba,0x0015b4c07a814d85,0x00686479e62da561,0x008de5d88f114916)},
-  {FIELD_LITERAL(0x00e37c88d6bba7b1,0x003e4577e1b8d433,0x0050d8ea5f510ec0,0x0042fc9f2da9ef59,0x003bd074c1141420,0x00561b8b7b68774e,0x00232e5e5d1013a3,0x006b7f2cb3d7e73f)},
-  {FIELD_LITERAL(0x004bdd0f0b41e6a0,0x001773057c405d24,0x006029f99915bd97,0x006a5ba70a17fe2f,0x0046111977df7e08,0x004d8124c89fb6b7,0x00580983b2bb2724,0x00207bf330d6f3fe)},
-  {FIELD_LITERAL(0x007efdc93972a48b,0x002f5e50e78d5fee,0x0080dc11d61c7fe5,0x0065aa598707245b,0x009abba2300641be,0x000c68787656543a,0x00ffe0fef2dc0a17,0x00007ffbd6cb4f3a)},
-  {FIELD_LITERAL(0x0036012f2b836efc,0x00458c126d6b5fbc,0x00a34436d719ad1e,0x0097be6167117dea,0x0009c219c879cff3,0x0065564493e60755,0x00993ac94a8cdec0,0x002d4885a4d0dbaf)},
-  {FIELD_LITERAL(0x00598b60b4c068ba,0x00c547a0be7f1afd,0x009582164acf12af,0x00af4acac4fbbe40,0x005f6ca7c539121a,0x003b6e752ebf9d66,0x00f08a30d5cac5d4,0x00e399bb5f97c5a9)},
-  {FIELD_LITERAL(0x007445a0409c0a66,0x00a65c369f3829c0,0x0031d248a4f74826,0x006817f34defbe8e,0x00649741d95ebf2e,0x00d46466ab16b397,0x00fdc35703bee414,0x00343b43334525f8)},
-  {FIELD_LITERAL(0x001796bea93f6401,0x00090c5a42e85269,0x00672412ba1252ed,0x001201d47b6de7de,0x006877bccfe66497,0x00b554fd97a4c161,0x009753f42dbac3cf,0x00e983e3e378270a)},
-  {FIELD_LITERAL(0x00ac3eff18849872,0x00f0eea3bff05690,0x00a6d72c21dd505d,0x001b832642424169,0x00a6813017b540e5,0x00a744bd71b385cd,0x0022a7d089130a7b,0x004edeec9a133486)},
-  {FIELD_LITERAL(0x00b2d6729196e8a9,0x0088a9bb2031cef4,0x00579e7787dc1567,0x0030f49feb059190,0x00a0b1d69c7f7d8f,0x0040bdcc6d9d806f,0x00d76c4037edd095,0x00bbf24376415dd7)},
-  {FIELD_LITERAL(0x00240465ff5a7197,0x00bb97e76caf27d0,0x004b4edbf8116d39,0x001d8586f708cbaa,0x000f8ee8ff8e4a50,0x00dde5a1945dd622,0x00e6fc1c0957e07c,0x0041c9cdabfd88a0)},
-  {FIELD_LITERAL(0x005344b0bf5b548c,0x002957d0b705cc99,0x00f586a70390553d,0x0075b3229f583cc3,0x00a1aa78227490e4,0x001bf09cf7957717,0x00cf6bf344325f52,0x0065bd1c23ca3ecf)},
-  {FIELD_LITERAL(0x009bff3b3239363c,0x00e17368796ef7c0,0x00528b0fe0971f3a,0x0008014fc8d4a095,0x00d09f2e8a521ec4,0x006713ab5dde5987,0x0003015758e0dbb1,0x00215999f1ba212d)},
-  {FIELD_LITERAL(0x002c88e93527da0e,0x0077c78f3456aad5,0x0071087a0a389d1c,0x00934dac1fb96dbd,0x008470e801162697,0x005bc2196cd4ad49,0x00e535601d5087c3,0x00769888700f497f)},
-  {FIELD_LITERAL(0x00da7a4b557298ad,0x0019d2589ea5df76,0x00ef3e38be0c6497,0x00a9644e1312609a,0x004592f61b2558da,0x0082c1df510d7e46,0x0042809a535c0023,0x00215bcb5afd7757)},
-  {FIELD_LITERAL(0x002b9df55a1a4213,0x00dcfc3b464a26be,0x00c4f9e07a8144d5,0x00c8e0617a92b602,0x008e3c93accafae0,0x00bf1bcb95b2ca60,0x004ce2426a613bf3,0x00266cac58e40921)},
-  {FIELD_LITERAL(0x008456d5db76e8f0,0x0032ca9cab2ce163,0x0059f2b8bf91abcf,0x0063c2a021712788,0x00f86155af22f72d,0x00db98b2a6c005a0,0x00ac6e416a693ac4,0x007a93572af53226)},
-  {FIELD_LITERAL(0x0087767520f0de22,0x0091f64012279fb5,0x001050f1f0644999,0x004f097a2477ad3c,0x006b37913a9947bd,0x001a3d78645af241,0x0057832bbb3008a7,0x002c1d902b80dc20)},
-  {FIELD_LITERAL(0x001a6002bf178877,0x009bce168aa5af50,0x005fc318ff04a7f5,0x0052818f55c36461,0x008768f5d4b24afb,0x0037ffbae7b69c85,0x0018195a4b61edc0,0x001e12ea088434b2)},
-  {FIELD_LITERAL(0x0047d3f804e7ab07,0x00a809ab5f905260,0x00b3ffc7cdaf306d,0x00746e8ec2d6e509,0x00d0dade8887a645,0x00acceeebde0dd37,0x009bc2579054686b,0x0023804f97f1c2bf)},
-  {FIELD_LITERAL(0x0043e2e2e50b80d7,0x00143aafe4427e0f,0x005594aaecab855b,0x008b12ccaaecbc01,0x002deeb091082bc3,0x009cca4be2ae7514,0x00142b96e696d047,0x00ad2a2b1c05256a)},
-  {FIELD_LITERAL(0x003914f2f144b78b,0x007a95dd8bee6f68,0x00c7f4384d61c8e6,0x004e51eb60f1bdb2,0x00f64be7aa4621d8,0x006797bfec2f0ac0,0x007d17aab3c75900,0x001893e73cac8bc5)},
-  {FIELD_LITERAL(0x00140360b768665b,0x00b68aca4967f977,0x0001089b66195ae4,0x00fe71122185e725,0x000bca2618d49637,0x00a54f0557d7e98a,0x00cdcd2f91d6f417,0x00ab8c13741fd793)},
-  {FIELD_LITERAL(0x00725ee6b1e549e0,0x007124a0769777fa,0x000b68fdad07ae42,0x0085b909cd4952df,0x0092d2e3c81606f4,0x009f22f6cac099a0,0x00f59da57f2799a8,0x00f06c090122f777)},
-  {FIELD_LITERAL(0x00ce0bed0a3532bc,0x001a5048a22df16b,0x00e31db4cbad8bf1,0x00e89292120cf00e,0x007d1dd1a9b00034,0x00e2a9041ff8f680,0x006a4c837ae596e7,0x00713af1068070b3)},
-  {FIELD_LITERAL(0x00c4fe64ce66d04b,0x00b095d52e09b3d7,0x00758bbecb1a3a8e,0x00f35cce8d0650c0,0x002b878aa5984473,0x0062e0a3b7544ddc,0x00b25b290ed116fe,0x007b0f6abe0bebf2)},
-  {FIELD_LITERAL(0x0081d4e3addae0a8,0x003410c836c7ffcc,0x00c8129ad89e4314,0x000e3d5a23922dcd,0x00d91e46f29c31f3,0x006c728cde8c5947,0x002bc655ba2566c0,0x002ca94721533108)},
-  {FIELD_LITERAL(0x0051e4b3f764d8a9,0x0019792d46e904a0,0x00853bc13dbc8227,0x000840208179f12d,0x0068243474879235,0x0013856fbfe374d0,0x00bda12fe8676424,0x00bbb43635926eb2)},
-  {FIELD_LITERAL(0x0012cdc880a93982,0x003c495b21cd1b58,0x00b7e5c93f22a26e,0x0044aa82dfb99458,0x009ba092cdffe9c0,0x00a14b3ab2083b73,0x000271c2f70e1c4b,0x00eea9cac0f66eb8)},
-  {FIELD_LITERAL(0x001a1847c4ac5480,0x00b1b412935bb03a,0x00f74285983bf2b2,0x00624138b5b5d0f1,0x008820c0b03d38bf,0x00b94e50a18c1572,0x0060f6934841798f,0x00c52f5d66d6ebe2)},
-  {FIELD_LITERAL(0x00da23d59f9bcea6,0x00e0f27007a06a4b,0x00128b5b43a6758c,0x000cf50190fa8b56,0x00fc877aba2b2d72,0x00623bef52edf53f,0x00e6af6b819669e2,0x00e314dc34fcaa4f)},
-  {FIELD_LITERAL(0x0066e5eddd164d1e,0x00418a7c6fe28238,0x0002e2f37e962c25,0x00f01f56b5975306,0x0048842fa503875c,0x0057b0e968078143,0x00ff683024f3d134,0x0082ae28fcad12e4)},
-  {FIELD_LITERAL(0x0011ddfd21260e42,0x00d05b0319a76892,0x00183ea4368e9b8f,0x00b0815662affc96,0x00b466a5e7ce7c88,0x00db93b07506e6ee,0x0033885f82f62401,0x0086f9090ec9b419)},
-  {FIELD_LITERAL(0x00d95d1c5fcb435a,0x0016d1ed6b5086f9,0x00792aa0b7e54d71,0x0067b65715f1925d,0x00a219755ec6176b,0x00bc3f026b12c28f,0x00700c897ffeb93e,0x0089b83f6ec50b46)},
-  {FIELD_LITERAL(0x003c97e6384da36e,0x00423d53eac81a09,0x00b70d68f3cdce35,0x00ee7959b354b92c,0x00f4e9718819c8ca,0x009349f12acbffe9,0x005aee7b62cb7da6,0x00d97764154ffc86)},
-  {FIELD_LITERAL(0x00526324babb46dc,0x002ee99b38d7bf9e,0x007ea51794706ef4,0x00abeb04da6e3c39,0x006b457c1d281060,0x00fe243e9a66c793,0x00378de0fb6c6ee4,0x003e4194b9c3cb93)},
-  {FIELD_LITERAL(0x00fed3cd80ca2292,0x0015b043a73ca613,0x000a9fd7bf9be227,0x003b5e03de2db983,0x005af72d46904ef7,0x00c0f1b5c49faa99,0x00dc86fc3bd305e1,0x00c92f08c1cb1797)},
-  {FIELD_LITERAL(0x0079680ce111ed3b,0x001a1ed82806122c,0x000c2e7466d15df3,0x002c407f6f7150fd,0x00c5e7c96b1b0ce3,0x009aa44626863ff9,0x00887b8b5b80be42,0x00b6023cec964825)},
-  {FIELD_LITERAL(0x00e4a8e1048970c8,0x0062887b7830a302,0x00bcf1c8cd81402b,0x0056dbb81a68f5be,0x0014eced83f12452,0x00139e1a510150df,0x00bb81140a82d1a3,0x000febcc1aaf1aa7)},
-  {FIELD_LITERAL(0x00a7527958238159,0x0013ec9537a84cd6,0x001d7fee7d562525,0x00b9eefa6191d5e5,0x00dbc97db70bcb8a,0x00481affc7a4d395,0x006f73d3e70c31bb,0x00183f324ed96a61)},
-  {FIELD_LITERAL(0x0039dd7ce7fc6860,0x00d64f6425653da1,0x003e037c7f57d0af,0x0063477a06e2bcf2,0x001727dbb7ac67e6,0x0049589f5efafe2e,0x00fc0fef2e813d54,0x008baa5d087fb50d)},
-  {FIELD_LITERAL(0x0024fb59d9b457c7,0x00a7d4e060223e4c,0x00c118d1b555fd80,0x0082e216c732f22a,0x00cd2a2993089504,0x003638e836a3e13d,0x000d855ee89b4729,0x008ec5b7d4810c91)},
-  {FIELD_LITERAL(0x001bf51f7d65cdfd,0x00d14cdafa16a97d,0x002c38e60fcd10e7,0x00a27446e393efbd,0x000b5d8946a71fdd,0x0063df2cde128f2f,0x006c8679569b1888,0x0059ffc4925d732d)},
-  {FIELD_LITERAL(0x00ece96f95f2b66f,0x00ece7952813a27b,0x0026fc36592e489e,0x007157d1a2de0f66,0x00759dc111d86ddf,0x0012881e5780bb0f,0x00c8ccc83ad29496,0x0012b9bd1929eb71)},
-  {FIELD_LITERAL(0x000fa15a20da5df0,0x00349ddb1a46cd31,0x002c512ad1d8e726,0x00047611f669318d,0x009e68fba591e17e,0x004320dffa803906,0x00a640874951a3d3,0x00b6353478baa24f)},
-  {FIELD_LITERAL(0x009696510000d333,0x00ec2f788bc04826,0x000e4d02b1f67ba5,0x00659aa8dace08b6,0x00d7a38a3a3ae533,0x008856defa8c746b,0x004d7a4402d3da1a,0x00ea82e06229260f)},
-  {FIELD_LITERAL(0x006a15bb20f75c0c,0x0079a144027a5d0c,0x00d19116ce0b4d70,0x0059b83bcb0b268e,0x005f58f63f16c127,0x0079958318ee2c37,0x00defbb063d07f82,0x00f1f0b931d2d446)},
-  {FIELD_LITERAL(0x00cb5e4c3c35d422,0x008df885ca43577f,0x00fa50b16ca3e471,0x005a0e58e17488c8,0x00b2ceccd6d34d19,0x00f01d5d235e36e9,0x00db2e7e4be6ca44,0x00260ab77f35fccd)},
-  {FIELD_LITERAL(0x006f6fd9baac61d5,0x002a7710a020a895,0x009de0db7fc03d4d,0x00cdedcb1875f40b,0x00050caf9b6b1e22,0x005e3a6654456ab0,0x00775fdf8c4423d4,0x0028701ea5738b5d)},
-  {FIELD_LITERAL(0x009ffd90abfeae96,0x00cba3c2b624a516,0x005ef08bcee46c91,0x00e6fde30afb6185,0x00f0b4db4f818ce4,0x006c54f45d2127f5,0x00040125035854c7,0x00372658a3287e13)},
-  {FIELD_LITERAL(0x00d7070fb1beb2ab,0x0078fc845a93896b,0x006894a4b2f224a6,0x005bdd8192b9dbde,0x00b38839874b3a9e,0x00f93618b04b7a57,0x003e3ec75fd2c67e,0x00bf5e6bfc29494a)},
-  {FIELD_LITERAL(0x00f19224ebba2aa5,0x0074f89d358e694d,0x00eea486597135ad,0x0081579a4555c7e1,0x0010b9b872930a9d,0x00f002e87a30ecc0,0x009b9d66b6de56e2,0x00a3c4f45e8004eb)},
-  {FIELD_LITERAL(0x0045e8dda9400888,0x002ff12e5fc05db7,0x00a7098d54afe69c,0x00cdbe846a500585,0x00879c1593ca1882,0x003f7a7fea76c8b0,0x002cd73dd0c8e0a1,0x00645d6ce96f51fe)},
-  {FIELD_LITERAL(0x002b7e83e123d6d6,0x00398346f7419c80,0x0042922e55940163,0x005e7fc5601886a3,0x00e88f2cee1d3103,0x00e7fab135f2e377,0x00b059984dbf0ded,0x0009ce080faa5bb8)},
-  {FIELD_LITERAL(0x0085e78af7758979,0x00275a4ee1631a3a,0x00d26bc0ed78b683,0x004f8355ea21064f,0x00d618e1a32696e5,0x008d8d7b150e5680,0x00a74cd854b278d2,0x001dd62702203ea0)},
-  {FIELD_LITERAL(0x00f89335c2a59286,0x00a0f5c905d55141,0x00b41fb836ee9382,0x00e235d51730ca43,0x00a5cb37b5c0a69a,0x009b966ffe136c45,0x00cb2ea10bf80ed1,0x00fb2b370b40dc35)},
-  {FIELD_LITERAL(0x00d687d16d4ee8ba,0x0071520bdd069dff,0x00de85c60d32355d,0x0087d2e3565102f4,0x00cde391b8dfc9aa,0x00e18d69efdfefe5,0x004a9d0591954e91,0x00fa36dd8b50eee5)},
-  {FIELD_LITERAL(0x002e788749a865f7,0x006e4dc3116861ea,0x009f1428c37276e6,0x00e7d2e0fc1e1226,0x003aeebc6b6c45f6,0x0071a8073bf500c9,0x004b22ad986b530c,0x00f439e63c0d79d4)},
-  {FIELD_LITERAL(0x006bc3d53011f470,0x00032d6e692b83e8,0x00059722f497cd0b,0x0009b4e6f0c497cc,0x0058a804b7cce6c0,0x002b71d3302bbd5d,0x00e2f82a36765fce,0x008dded99524c703)},
-  {FIELD_LITERAL(0x004d058953747d64,0x00701940fe79aa6f,0x00a620ac71c760bf,0x009532b611158b75,0x00547ed7f466f300,0x003cb5ab53a8401a,0x00c7763168ce3120,0x007e48e33e4b9ab2)},
-  {FIELD_LITERAL(0x001b2fc57bf3c738,0x006a3f918993fb80,0x0026f7a14fdec288,0x0075a2cdccef08db,0x00d3ecbc9eecdbf1,0x0048c40f06e5bf7f,0x00d63e423009896b,0x000598bc99c056a8)},
-  {FIELD_LITERAL(0x002f194eaafa46dc,0x008e38f57fe87613,0x00dc8e5ae25f4ab2,0x000a17809575e6bd,0x00d3ec7923ba366a,0x003a7e72e0ad75e3,0x0010024b88436e0a,0x00ed3c5444b64051)},
-  {FIELD_LITERAL(0x00831fc1340af342,0x00c9645669466d35,0x007692b4cc5a080f,0x009fd4a47ac9259f,0x001eeddf7d45928b,0x003c0446fc45f28b,0x002c0713aa3e2507,0x0095706935f0f41e)},
-  {FIELD_LITERAL(0x00766ae4190ec6d8,0x0065768cabc71380,0x00b902598416cdc2,0x00380021ad38df52,0x008f0b89d6551134,0x004254d4cc62c5a5,0x000d79f4484b9b94,0x00b516732ae3c50e)},
-  {FIELD_LITERAL(0x001fb73475c45509,0x00d2b2e5ea43345a,0x00cb3c3842077bd1,0x0029f90ad820946e,0x007c11b2380778aa,0x009e54ece62c1704,0x004bc60c41ca01c3,0x004525679a5a0b03)},
-  {FIELD_LITERAL(0x00c64fbddbed87b3,0x0040601d11731faa,0x009c22475b6f9d67,0x0024b79dae875f15,0x00616fed3f02c3b0,0x0000cf39f6af2d3b,0x00c46bac0aa9a688,0x00ab23e2800da204)},
-  {FIELD_LITERAL(0x000b3a37617632b0,0x00597199fe1cfb6c,0x0042a7ccdfeafdd6,0x004cc9f15ebcea17,0x00f436e596a6b4a4,0x00168861142df0d8,0x000753edfec26af5,0x000c495d7e388116)},
-  {FIELD_LITERAL(0x0017085f4a346148,0x00c7cf7a37f62272,0x001776e129bc5c30,0x009955134c9eef2a,0x001ba5bdf1df07be,0x00ec39497103a55c,0x006578354fda6cfb,0x005f02719d4f15ee)},
-  {FIELD_LITERAL(0x0052b9d9b5d9655d,0x00d4ec7ba1b461c3,0x00f95df4974f280b,0x003d8e5ca11aeb51,0x00d4981eb5a70b26,0x000af9a4f6659f29,0x004598c846faeb43,0x0049d9a183a47670)},
-  {FIELD_LITERAL(0x000a72d23dcb3f1f,0x00a3737f84011727,0x00f870c0fbbf4a47,0x00a7aadd04b5c9ca,0x000c7715c67bd072,0x00015a136afcd74e,0x0080d5caea499634,0x0026b448ec7514b7)},
-  {FIELD_LITERAL(0x00b60167d9e7d065,0x00e60ba0d07381e8,0x003a4f17b725c2d4,0x006c19fe176b64fa,0x003b57b31af86ccb,0x0021047c286180fd,0x00bdc8fb00c6dbb6,0x00fe4a9f4bab4f3f)},
-  {FIELD_LITERAL(0x0088ffc3a16111f7,0x009155e4245d0bc8,0x00851d68220572d5,0x00557ace1e514d29,0x0031d7c339d91022,0x00101d0ae2eaceea,0x00246ab3f837b66a,0x00d5216d381ff530)},
-  {FIELD_LITERAL(0x0057e7ea35f36dae,0x00f47d7ad15de22e,0x00d757ea4b105115,0x008311457d579d7e,0x00b49b75b1edd4eb,0x0081c7ff742fd63a,0x00ddda3187433df6,0x00475727d55f9c66)},
-  {FIELD_LITERAL(0x00a6295218dc136a,0x00563b3af0e9c012,0x00d3753b0145db1b,0x004550389c043dc1,0x00ea94ae27401bdf,0x002b0b949f2b7956,0x00c63f780ad8e23c,0x00e591c47d6bab15)},
-  {FIELD_LITERAL(0x00416c582b058eb6,0x004107da5b2cc695,0x00b3cd2556aeec64,0x00c0b418267e57a1,0x001799293579bd2e,0x0046ed44590e4d07,0x001d7459b3630a1e,0x00c6afba8b6696aa)},
-  {FIELD_LITERAL(0x008d6009b26da3f8,0x00898e88ca06b1ca,0x00edb22b2ed7fe62,0x00fbc93516aabe80,0x008b4b470c42ce0d,0x00e0032ba7d0dcbb,0x00d76da3a956ecc8,0x007f20fe74e3852a)},
-  {FIELD_LITERAL(0x002419222c607674,0x00a7f23af89188b3,0x00ad127284e73d1c,0x008bba582fae1c51,0x00fc6aa7ca9ecab1,0x003df5319eb6c2ba,0x002a05af8a8b199a,0x004bf8354558407c)},
-  {FIELD_LITERAL(0x00ce7d4a30f0fcbf,0x00d02c272629f03d,0x0048c001f7400bc2,0x002c21368011958d,0x0098a550391e96b5,0x002d80b66390f379,0x001fa878760cc785,0x001adfce54b613d5)},
-  {FIELD_LITERAL(0x001ed4dc71fa2523,0x005d0bff19bf9b5c,0x00c3801cee065a64,0x001ed0b504323fbf,0x0003ab9fdcbbc593,0x00df82070178b8d2,0x00a2bcaa9c251f85,0x00c628a3674bd02e)},
-  {FIELD_LITERAL(0x006b7a0674f9f8de,0x00a742414e5c7cff,0x0041cbf3c6e13221,0x00e3a64fd207af24,0x0087c05f15fbe8d1,0x004c50936d9e8a33,0x001306ec21042b6d,0x00a4f4137d1141c2)},
-  {FIELD_LITERAL(0x0009e6fb921568b0,0x00b3c60120219118,0x002a6c3460dd503a,0x009db1ef11654b54,0x0063e4bf0be79601,0x00670d34bb2592b9,0x00dcee2f6c4130ce,0x00b2682e88e77f54)},
-  {FIELD_LITERAL(0x000d5b4b3da135ab,0x00838f3e5064d81d,0x00d44eb50f6d94ed,0x0008931ab502ac6d,0x00debe01ca3d3586,0x0025c206775f0641,0x005ad4b6ae912763,0x007e2c318ad8f247)},
-  {FIELD_LITERAL(0x00ddbe0750dd1add,0x004b3c7b885844b8,0x00363e7ecf12f1ae,0x0062e953e6438f9d,0x0023cc73b076afe9,0x00b09fa083b4da32,0x00c7c3d2456c541d,0x005b591ec6b694d4)},
-  {FIELD_LITERAL(0x0028656e19d62fcf,0x0052a4af03df148d,0x00122765ddd14e42,0x00f2252904f67157,0x004741965b636f3a,0x006441d296132cb9,0x005e2106f956a5b7,0x00247029592d335c)},
-  {FIELD_LITERAL(0x003fe038eb92f894,0x000e6da1b72e8e32,0x003a1411bfcbe0fa,0x00b55d473164a9e4,0x00b9a775ac2df48d,0x0002ddf350659e21,0x00a279a69eb19cb3,0x00f844eab25cba44)},
-  {FIELD_LITERAL(0x00c41d1f9c1f1ac1,0x007b2df4e9f19146,0x00b469355fd5ba7a,0x00b5e1965afc852a,0x00388d5f1e2d8217,0x0022079e4c09ae93,0x0014268acd4ef518,0x00c1dd8d9640464c)},
-  {FIELD_LITERAL(0x0038526adeed0c55,0x00dd68c607e3fe85,0x00f746ddd48a5d57,0x0042f2952b963b7c,0x001cbbd6876d5ec2,0x005e341470bca5c2,0x00871d41e085f413,0x00e53ab098f45732)},
-  {FIELD_LITERAL(0x004d51124797c831,0x008f5ae3750347ad,0x0070ced94c1a0c8e,0x00f6db2043898e64,0x000d00c9a5750cd0,0x000741ec59bad712,0x003c9d11aab37b7f,0x00a67ba169807714)},
-  {FIELD_LITERAL(0x00adb2c1566e8b8f,0x0096c68a35771a9a,0x00869933356f334a,0x00ba9c93459f5962,0x009ec73fb6e8ca4b,0x003c3802c27202e1,0x0031f5b733e0c008,0x00f9058c19611fa9)},
-  {FIELD_LITERAL(0x00238f01814a3421,0x00c325a44b6cce28,0x002136f97aeb0e73,0x000cac8268a4afe2,0x0022fd218da471b3,0x009dcd8dfff8def9,0x00cb9f8181d999bb,0x00143ae56edea349)},
-  {FIELD_LITERAL(0x0000623bf87622c5,0x00a1966fdd069496,0x00c315b7b812f9fc,0x00bdf5efcd128b97,0x001d464f532e3e16,0x003cd94f081bfd7e,0x00ed9dae12ce4009,0x002756f5736eee70)},
-  {FIELD_LITERAL(0x00a5187e6ee7341b,0x00e6d52e82d83b6e,0x00df3c41323094a7,0x00b3324f444e9de9,0x00689eb21a35bfe5,0x00f16363becd548d,0x00e187cc98e7f60f,0x00127d9062f0ccab)},
-  {FIELD_LITERAL(0x004ad71b31c29e40,0x00a5fcace12fae29,0x004425b5597280ed,0x00e7ef5d716c3346,0x0010b53ada410ac8,0x0092310226060c9b,0x0091c26128729c7e,0x0088b42900f8ec3b)},
-  {FIELD_LITERAL(0x00f1e26e9762d4a8,0x00d9d74082183414,0x00ffec9bd57a0282,0x000919e128fd497a,0x00ab7ae7d00fe5f8,0x0054dc442851ff68,0x00c9ebeb3b861687,0x00507f7cab8b698f)},
-  {FIELD_LITERAL(0x00c13c5aae3ae341,0x009c6c9ed98373e7,0x00098f26864577a8,0x0015b886e9488b45,0x0037692c42aadba5,0x00b83170b8e7791c,0x001670952ece1b44,0x00fd932a39276da2)},
-  {FIELD_LITERAL(0x0081a3259bef3398,0x005480fff416107b,0x00ce4f607d21be98,0x003ffc084b41df9b,0x0043d0bb100502d1,0x00ec35f575ba3261,0x00ca18f677300ef3,0x00e8bb0a827d8548)},
-  {FIELD_LITERAL(0x00df76b3328ada72,0x002e20621604a7c2,0x00f910638a105b09,0x00ef4724d96ef2cd,0x00377d83d6b8a2f7,0x00b4f48805ade324,0x001cd5da8b152018,0x0045af671a20ca7f)},
-  {FIELD_LITERAL(0x009ae3b93a56c404,0x004a410b7a456699,0x00023a619355e6b2,0x009cdc7297387257,0x0055b94d4ae70d04,0x002cbd607f65b005,0x003208b489697166,0x00ea2aa058867370)},
-  {FIELD_LITERAL(0x00f29d2598ee3f32,0x00b4ac5385d82adc,0x007633eaf04df19b,0x00aa2d3d77ceab01,0x004a2302fcbb778a,0x00927f225d5afa34,0x004a8e9d5047f237,0x008224ae9dbce530)},
-  {FIELD_LITERAL(0x001cf640859b02f8,0x00758d1d5d5ce427,0x00763c784ef4604c,0x005fa81aee205270,0x00ac537bfdfc44cb,0x004b919bd342d670,0x00238508d9bf4b7a,0x00154888795644f3)},
-  {FIELD_LITERAL(0x00c845923c084294,0x00072419a201bc25,0x0045f408b5f8e669,0x00e9d6a186b74dfe,0x00e19108c68fa075,0x0017b91d874177b7,0x002f0ca2c7912c5a,0x009400aa385a90a2)},
-  {FIELD_LITERAL(0x0071110b01482184,0x00cfed0044f2bef8,0x0034f2901cf4662e,0x003b4ae2a67f9834,0x00cca9b96fe94810,0x00522507ae77abd0,0x00bac7422721e73e,0x0066622b0f3a62b0)},
-  {FIELD_LITERAL(0x00f8ac5cf4705b6a,0x00867d82dcb457e3,0x007e13ab2ccc2ce9,0x009ee9a018d3930e,0x008370f8ecb42df8,0x002d9f019add263e,0x003302385b92d196,0x00a15654536e2c0c)},
-  {FIELD_LITERAL(0x0026ef1614e160af,0x00c023f9edfc9c76,0x00cff090da5f57ba,0x0076db7a66643ae9,0x0019462f8c646999,0x008fec00b3854b22,0x00d55041692a0a1c,0x0065db894215ca00)},
-  {FIELD_LITERAL(0x00a925036e0a451c,0x002a0390c36b6cc1,0x00f27020d90894f4,0x008d90d52cbd3d7f,0x00e1d0137392f3b8,0x00f017c158b51a8f,0x00cac313d3ed7dbc,0x00b99a81e3eb42d3)},
-  {FIELD_LITERAL(0x00b54850275fe626,0x0053a3fd1ec71140,0x00e3d2d7dbe096fa,0x00e4ac7b595cce4c,0x0077bad449c0a494,0x00b7c98814afd5b3,0x0057226f58486cf9,0x00b1557154f0cc57)},
-  {FIELD_LITERAL(0x008cc9cd236315c0,0x0031d9c5b39fda54,0x00a5713ef37e1171,0x00293d5ae2886325,0x00c4aba3e05015e1,0x0003f35ef78e4fc6,0x0039d6bd3ac1527b,0x0019d7c3afb77106)},
-  {FIELD_LITERAL(0x007b162931a985af,0x00ad40a2e0daa713,0x006df27c4009f118,0x00503e9f4e2e8bec,0x00751a77c82c182d,0x000298937769245b,0x00ffb1e8fabf9ee5,0x0008334706e09abe)},
-  {FIELD_LITERAL(0x00dbca4e98a7dcd9,0x00ee29cfc78bde99,0x00e4a3b6995f52e9,0x0045d70189ae8096,0x00fd2a8a3b9b0d1b,0x00af1793b107d8e1,0x00dbf92cbe4afa20,0x00da60f798e3681d)},
-  {FIELD_LITERAL(0x004246bfcecc627a,0x004ba431246c03a4,0x00bd1d101872d497,0x003b73d3f185ee16,0x001feb2e2678c0e3,0x00ff13c5a89dec76,0x00ed06042e771d8f,0x00a4fd2a897a83dd)},
-  {FIELD_LITERAL(0x009a4a3be50d6597,0x00de3165fc5a1096,0x004f3f56e345b0c7,0x00f7bf721d5ab8bc,0x004313e47b098c50,0x00e4c7d5c0e1adbb,0x002e3e3db365051e,0x00a480c2cd6a96fb)},
-  {FIELD_LITERAL(0x00417fa30a7119ed,0x00af257758419751,0x00d358a487b463d4,0x0089703cc720b00d,0x00ce56314ff7f271,0x0064db171ade62c1,0x00640b36d4a22fed,0x00424eb88696d23f)},
-  {FIELD_LITERAL(0x004ede34af2813f3,0x00d4a8e11c9e8216,0x004796d5041de8a5,0x00c4c6b4d21cc987,0x00e8a433ee07fa1e,0x0055720b5abcc5a1,0x008873ea9c74b080,0x005b3fec1ab65d48)},
-  {FIELD_LITERAL(0x0047e5277db70ec5,0x000a096c66db7d6b,0x00b4164cc1730159,0x004a9f783fe720fe,0x00a8177b94449dbc,0x0095a24ff49a599f,0x0069c1c578250cbc,0x00452019213debf4)},
-  {FIELD_LITERAL(0x0021ce99e09ebda3,0x00fcbd9f91875ad0,0x009bbf6b7b7a0b5f,0x00388886a69b1940,0x00926a56d0f81f12,0x00e12903c3358d46,0x005dfce4e8e1ce9d,0x0044cfa94e2f7e23)},
-  {FIELD_LITERAL(0x001bd59c09e982ea,0x00f72daeb937b289,0x0018b76dca908e0e,0x00edb498512384ad,0x00ce0243b6cc9538,0x00f96ff690cb4e70,0x007c77bf9f673c8d,0x005bf704c088a528)},
-  {FIELD_LITERAL(0x0093d4628dcb33be,0x0095263d51d42582,0x0049b3222458fe06,0x00e7fce73b653a7f,0x003ca2ebce60b369,0x00c5de239a32bea4,0x0063b8b3d71fb6bf,0x0039aeeb78a1a839)},
-  {FIELD_LITERAL(0x007dc52da400336c,0x001fded1e15b9457,0x00902e00f5568e3a,0x00219bef40456d2d,0x005684161fb3dbc9,0x004a4e9be49a76ea,0x006e685ae88b78ff,0x0021c42f13042d3c)},
-  {FIELD_LITERAL(0x00fb22bb5fd3ce50,0x0017b48aada7ae54,0x00fd5c44ad19a536,0x000ccc4e4e55e45c,0x00fd637d45b4c3f5,0x0038914e023c37cf,0x00ac1881d6a8d898,0x00611ed8d3d943a8)},
-  {FIELD_LITERAL(0x0056e2259d113d2b,0x00594819b284ec16,0x00c7bf794bb36696,0x00721ee75097cdc6,0x00f71be9047a2892,0x00df6ba142564edf,0x0069580b7a184e8d,0x00f056e38fca0fee)},
-  {FIELD_LITERAL(0x009df98566a18c6d,0x00cf3a200968f219,0x0044ba60da6d9086,0x00dbc9c0e344da03,0x000f9401c4466855,0x00d46a57c5b0a8d1,0x00875a635d7ac7c6,0x00ef4a933b7e0ae6)},
-  {FIELD_LITERAL(0x005e8694077a1535,0x008bef75f71c8f1d,0x000a7c1316423511,0x00906e1d70604320,0x003fc46c1a2ffbd6,0x00d1d5022e68f360,0x002515fba37bbf46,0x00ca16234e023b44)},
-  {FIELD_LITERAL(0x00787c99561f4690,0x00a857a8c1561f27,0x00a10df9223c09fe,0x00b98a9562e3b154,0x004330b8744c3ed2,0x00e06812807ec5c4,0x00e4cf6a7db9f1e3,0x00d95b089f132a34)},
-  {FIELD_LITERAL(0x002922b39ca33eec,0x0090d12a5f3ab194,0x00ab60c02fb5f8ed,0x00188d292abba1cf,0x00e10edec9698f6e,0x0069a4d9934133c8,0x0024aac40e6d3d06,0x001702c2177661b0)},
-  {FIELD_LITERAL(0x00139078397030bd,0x000e3c447e859a00,0x0064a5b334c82393,0x00b8aabeb7358093,0x00020778bb9ae73b,0x0032ee94c7892a18,0x008215253cb41bda,0x005e2797593517ae)},
-  {FIELD_LITERAL(0x0083765a5f855d4a,0x0051b6d1351b8ee2,0x00116de548b0f7bb,0x0087bd88703affa0,0x0095b2cc34d7fdd2,0x0084cd81b53f0bc8,0x008562fc995350ed,0x00a39abb193651e3)},
-  {FIELD_LITERAL(0x0019e23f0474b114,0x00eb94c2ad3b437e,0x006ddb34683b75ac,0x00391f9209b564c6,0x00083b3bb3bff7aa,0x00eedcd0f6dceefc,0x00b50817f794fe01,0x0036474deaaa75c9)},
-  {FIELD_LITERAL(0x0091868594265aa2,0x00797accae98ca6d,0x0008d8c5f0f8a184,0x00d1f4f1c2b2fe6e,0x0036783dfb48a006,0x008c165120503527,0x0025fd780058ce9b,0x0068beb007be7d27)},
-  {FIELD_LITERAL(0x00d0ff88aa7c90c2,0x00b2c60dacf53394,0x0094a7284d9666d6,0x00bed9022ce7a19d,0x00c51553f0cd7682,0x00c3fb870b124992,0x008d0bc539956c9b,0x00fc8cf258bb8885)},
-  {FIELD_LITERAL(0x003667bf998406f8,0x0000115c43a12975,0x001e662f3b20e8fd,0x0019ffa534cb24eb,0x00016be0dc8efb45,0x00ff76a8b26243f5,0x00ae20d241a541e3,0x0069bd6af13cd430)},
-  {FIELD_LITERAL(0x0045fdc16487cda3,0x00b2d8e844cf2ed7,0x00612c50e88c1607,0x00a08aabc66c1672,0x006031fdcbb24d97,0x001b639525744b93,0x004409d62639ab17,0x00a1853d0347ab1d)},
-  {FIELD_LITERAL(0x0075a1a56ebf5c21,0x00a3e72be9ac53ed,0x00efcde1629170c2,0x0004225fe91ef535,0x0088049fc73dfda7,0x004abc74857e1288,0x0024e2434657317c,0x00d98cb3d3e5543c)},
-  {FIELD_LITERAL(0x00b4b53eab6bdb19,0x009b22d8b43711d0,0x00d948b9d961785d,0x00cb167b6f279ead,0x00191de3a678e1c9,0x00d9dd9511095c2e,0x00f284324cd43067,0x00ed74fa535151dd)},
-  {FIELD_LITERAL(0x007e32c049b5c477,0x009d2bfdbd9bcfd8,0x00636e93045938c6,0x007fde4af7687298,0x0046a5184fafa5d3,0x0079b1e7f13a359b,0x00875adf1fb927d6,0x00333e21c61bcad2)},
-  {FIELD_LITERAL(0x00048014f73d8b8d,0x0075684aa0966388,0x0092be7df06dc47c,0x0097cebcd0f5568a,0x005a7004d9c4c6a9,0x00b0ecbb659924c7,0x00d90332dd492a7c,0x0057fc14df11493d)},
-  {FIELD_LITERAL(0x0008ed8ea0ad95be,0x0041d324b9709645,0x00e25412257a19b4,0x0058df9f3423d8d2,0x00a9ab20def71304,0x009ae0dbf8ac4a81,0x00c9565977e4392a,0x003c9269444baf55)},
-  {FIELD_LITERAL(0x007df6cbb926830b,0x00d336058ae37865,0x007af47dac696423,0x0048d3011ec64ac8,0x006b87666e40049f,0x0036a2e0e51303d7,0x00ba319bd79dbc55,0x003e2737ecc94f53)},
-  {FIELD_LITERAL(0x00d296ff726272d9,0x00f6d097928fcf57,0x00e0e616a55d7013,0x00deaf454ed9eac7,0x0073a56bedef4d92,0x006ccfdf6fc92e19,0x009d1ee1371a7218,0x00ee3c2ee4462d80)},
-  {FIELD_LITERAL(0x00437bce9bccdf9d,0x00e0c8e2f85dc0a3,0x00c91a7073995a19,0x00856ec9fe294559,0x009e4b33394b156e,0x00e245b0dc497e5c,0x006a54e687eeaeff,0x00f1cd1cd00fdb7c)},
-  {FIELD_LITERAL(0x008132ae5c5d8cd1,0x00121d68324a1d9f,0x00d6be9dafcb8c76,0x00684d9070edf745,0x00519fbc96d7448e,0x00388182fdc1f27e,0x000235baed41f158,0x00bf6cf6f1a1796a)},
-  {FIELD_LITERAL(0x002adc4b4d148219,0x003084ada0d3a90a,0x0046de8aab0f2e4e,0x00452d342a67b5fd,0x00d4b50f01d4de21,0x00db6d9fc0cefb79,0x008c184c86a462cd,0x00e17c83764d42da)},
-  {FIELD_LITERAL(0x007b2743b9a1e01a,0x007847ffd42688c4,0x006c7844d610a316,0x00f0cb8b250aa4b0,0x00a19060143b3ae6,0x0014eb10b77cfd80,0x000170905729dd06,0x00063b5b9cd72477)},
-  {FIELD_LITERAL(0x00ce382dc7993d92,0x00021153e938b4c8,0x00096f7567f48f51,0x0058f81ddfe4b0d5,0x00cc379a56b355c7,0x002c760770d3e819,0x00ee22d1d26e5a40,0x00de6d93d5b082d7)},
-  {FIELD_LITERAL(0x000a91a42c52e056,0x00185f6b77fce7ea,0x000803c51962f6b5,0x0022528582ba563d,0x0043f8040e9856d6,0x0085a29ec81fb860,0x005f9a611549f5ff,0x00c1f974ecbd4b06)},
-  {FIELD_LITERAL(0x005b64c6fd65ec97,0x00c1fdd7f877bc7f,0x000d9cc6c89f841c,0x005c97b7f1aff9ad,0x0075e3c61475d47e,0x001ecb1ba8153011,0x00fe7f1c8d71d40d,0x003fa9757a229832)},
-  {FIELD_LITERAL(0x00ffc5c89d2b0cba,0x00d363d42e3e6fc3,0x0019a1a0118e2e8a,0x00f7baeff48882e1,0x001bd5af28c6b514,0x0055476ca2253cb2,0x00d8eb1977e2ddf3,0x00b173b1adb228a1)},
-  {FIELD_LITERAL(0x00f2cb99dd0ad707,0x00e1e08b6859ddd8,0x000008f2d0650bcc,0x00d7ed392f8615c3,0x00976750a94da27f,0x003e83bb0ecb69ba,0x00df8e8d15c14ac6,0x00f9f7174295d9c2)},
-  {FIELD_LITERAL(0x00f11cc8e0e70bcb,0x00e5dc689974e7dd,0x0014e409f9ee5870,0x00826e6689acbd63,0x008a6f4e3d895d88,0x00b26a8da41fd4ad,0x000fb7723f83efd7,0x009c749db0a5f6c3)},
-  {FIELD_LITERAL(0x002389319450f9ba,0x003677f31aa1250a,0x0092c3db642f38cb,0x00f8b64c0dfc9773,0x00cd49fe3505b795,0x0068105a4090a510,0x00df0ba2072a8bb6,0x00eb396143afd8be)},
-  {FIELD_LITERAL(0x00a0d4ecfb24cdff,0x00ddaf8008ba6479,0x00f0b3e36d4b0f44,0x003734bd3af1f146,0x00b87e2efc75527e,0x00d230df55ddab50,0x002613257ae56c1d,0x00bc0946d135934d)},
-  {FIELD_LITERAL(0x00468711bd994651,0x0033108fa67561bf,0x0089d760192a54b4,0x00adc433de9f1871,0x000467d05f36e050,0x007847e0f0579f7f,0x00a2314ad320052d,0x00b3a93649f0b243)},
-  {FIELD_LITERAL(0x0067f8f0c4fe26c9,0x0079c4a3cc8f67b9,0x0082b1e62f23550d,0x00f2d409caefd7f5,0x0080e67dcdb26e81,0x0087ae993ea1f98a,0x00aa108becf61d03,0x001acf11efb608a3)},
-  {FIELD_LITERAL(0x008225febbab50d9,0x00f3b605e4dd2083,0x00a32b28189e23d2,0x00d507e5e5eb4c97,0x005a1a84e302821f,0x0006f54c1c5f08c7,0x00a347c8cb2843f0,0x0009f73e9544bfa5)},
-  {FIELD_LITERAL(0x006c59c9ae744185,0x009fc32f1b4282cd,0x004d6348ca59b1ac,0x00105376881be067,0x00af4096013147dc,0x004abfb5a5cb3124,0x000d2a7f8626c354,0x009c6ed568e07431)},
-  {FIELD_LITERAL(0x00e828333c297f8b,0x009ef3cf8c3f7e1f,0x00ab45f8fff31cb9,0x00c8b4178cb0b013,0x00d0c50dd3260a3f,0x0097126ac257f5bc,0x0042376cc90c705a,0x001d96fdb4a1071e)},
-  {FIELD_LITERAL(0x00542d44d89ee1a8,0x00306642e0442d98,0x0090853872b87338,0x002362cbf22dc044,0x002c222adff663b8,0x0067c924495fcb79,0x000e621d983c977c,0x00df77a9eccb66fb)},
-  {FIELD_LITERAL(0x002809e4bbf1814a,0x00b9e854f9fafb32,0x00d35e67c10f7a67,0x008f1bcb76e748cf,0x004224d9515687d2,0x005ba0b774e620c4,0x00b5e57db5d54119,0x00e15babe5683282)},
-  {FIELD_LITERAL(0x00832d02369b482c,0x00cba52ff0d93450,0x003fa9c908d554db,0x008d1e357b54122f,0x00abd91c2dc950c6,0x007eff1df4c0ec69,0x003f6aeb13fb2d31,0x00002d6179fc5b2c)},
-  {FIELD_LITERAL(0x0046c9eda81c9c89,0x00b60cb71c8f62fc,0x0022f5a683baa558,0x00f87319fccdf997,0x009ca09b51ce6a22,0x005b12baf4af7d77,0x008a46524a1e33e2,0x00035a77e988be0d)},
-  {FIELD_LITERAL(0x00a7efe46a7dbe2f,0x002f66fd55014fe7,0x006a428afa1ff026,0x0056caaa9604ab72,0x0033f3bcd7fac8ae,0x00ccb1aa01c86764,0x00158d1edf13bf40,0x009848ee76fcf3b4)},
-  {FIELD_LITERAL(0x00a9e7730a819691,0x00d9cc73c4992b70,0x00e299bde067de5a,0x008c314eb705192a,0x00e7226f17e8a3cc,0x0029dfd956e65a47,0x0053a8e839073b12,0x006f942b2ab1597e)},
-  {FIELD_LITERAL(0x001c3d780ecd5e39,0x0094f247fbdcc5fe,0x00d5c786fd527764,0x00b6f4da74f0db2a,0x0080f1f8badcd5fc,0x00f36a373ad2e23b,0x00f804f9f4343bf2,0x00d1af40ec623982)},
-  {FIELD_LITERAL(0x0082aeace5f1b144,0x00f68b3108cf4dd3,0x00634af01dde3020,0x000beab5df5c2355,0x00e8b790d1b49b0b,0x00e48d15854e36f4,0x0040ab2d95f3db9f,0x002711c4ed9e899a)},
-  {FIELD_LITERAL(0x0039343746531ebe,0x00c8509d835d429d,0x00e79eceff6b0018,0x004abfd31e8efce5,0x007bbfaaa1e20210,0x00e3be89c193e179,0x001c420f4c31d585,0x00f414a315bef5ae)},
-  {FIELD_LITERAL(0x007c296a24990df8,0x00d5d07525a75588,0x00dd8e113e94b7e7,0x007bbc58febe0cc8,0x0029f51af9bfcad3,0x007e9311ec7ab6f3,0x009a884de1676343,0x0050d5f2dce84be9)},
-  {FIELD_LITERAL(0x005fa020cca2450a,0x00491c29db6416d8,0x0037cefe3f9f9a85,0x003d405230647066,0x0049e835f0fdbe89,0x00feb78ac1a0815c,0x00828e4b32dc9724,0x00db84f2dc8d6fd4)},
-  {FIELD_LITERAL(0x0098cddc8b39549a,0x006da37e3b05d22c,0x00ce633cfd4eb3cb,0x00fda288ef526acd,0x0025338878c5d30a,0x00f34438c4e5a1b4,0x00584efea7c310f1,0x0041a551f1b660ad)},
-  {FIELD_LITERAL(0x00d7f7a8fbd6437a,0x0062872413bf3753,0x00ad4bbcb43c584b,0x007fe49be601d7e3,0x0077c659789babf4,0x00eb45fcb06a741b,0x005ce244913f9708,0x0088426401736326)},
-  {FIELD_LITERAL(0x007bf562ca768d7c,0x006c1f3a174e387c,0x00f024b447fee939,0x007e7af75f01143f,0x003adb70b4eed89d,0x00e43544021ad79a,0x0091f7f7042011f6,0x0093c1a1ee3a0ddc)},
-  {FIELD_LITERAL(0x00a0b68ec1eb72d2,0x002c03235c0d45a0,0x00553627323fe8c5,0x006186e94b17af94,0x00a9906196e29f14,0x0025b3aee6567733,0x007e0dd840080517,0x0018eb5801a4ba93)},
-  {FIELD_LITERAL(0x00d7fe7017bf6a40,0x006e3f0624be0c42,0x00ffbba205358245,0x00f9fc2cf8194239,0x008d93b37bf15b4e,0x006ddf2e38be8e95,0x002b6e79bf5fcff9,0x00ab355da425e2de)},
-  {FIELD_LITERAL(0x00938f97e20be973,0x0099141a36aaf306,0x0057b0ca29e545a1,0x0085db571f9fbc13,0x008b333c554b4693,0x0043ab6ef3e241cb,0x0054fb20aa1e5c70,0x00be0ff852760adf)},
-  {FIELD_LITERAL(0x003973d8938971d6,0x002aca26fa80c1f5,0x00108af1faa6b513,0x00daae275d7924e6,0x0053634ced721308,0x00d2355fe0bbd443,0x00357612b2d22095,0x00f9bb9dd4136cf3)},
-  {FIELD_LITERAL(0x002bff12cf5e03a5,0x001bdb1fa8a19cf8,0x00c91c6793f84d39,0x00f869f1b2eba9af,0x0059bc547dc3236b,0x00d91611d6d38689,0x00e062daaa2c0214,0x00ed3c047cc2bc82)},
-  {FIELD_LITERAL(0x000050d70c32b31a,0x001939d576d437b3,0x00d709e598bf9fe6,0x00a885b34bd2ee9e,0x00dd4b5c08ab1a50,0x0091bebd50b55639,0x00cf79ff64acdbc6,0x006067a39d826336)},
-  {FIELD_LITERAL(0x0062dd0fb31be374,0x00fcc96b84c8e727,0x003f64f1375e6ae3,0x0057d9b6dd1af004,0x00d6a167b1103c7b,0x00dd28f3180fb537,0x004ff27ad7167128,0x008934c33461f2ac)},
-  {FIELD_LITERAL(0x0065b472b7900043,0x00ba7efd2ff1064b,0x000b67d6c4c3020f,0x0012d28469f4e46d,0x0031c32939703ec7,0x00b49f0bce133066,0x00f7e10416181d47,0x005c90f51867eecc)},
-  {FIELD_LITERAL(0x0051207abd179101,0x00fc2a5c20d9c5da,0x00fb9d5f2701b6df,0x002dd040fdea82b8,0x00f163b0738442ff,0x00d9736bd68855b8,0x00e0d8e93005e61c,0x00df5a40b3988570)},
-  {FIELD_LITERAL(0x0006918f5dfce6dc,0x00d4bf1c793c57fb,0x0069a3f649435364,0x00e89a50e5b0cd6e,0x00b9f6a237e973af,0x006d4ed8b104e41d,0x00498946a3924cd2,0x00c136ec5ac9d4f7)},
-  {FIELD_LITERAL(0x0011a9c290ac5336,0x002b9a2d4a6a6533,0x009a8a68c445d937,0x00361b27b07e5e5c,0x003c043b1755b974,0x00b7eb66cf1155ee,0x0077af5909eefff2,0x0098f609877cc806)},
-  {FIELD_LITERAL(0x00ab13af436bf8f4,0x000bcf0a0dac8574,0x00d50c864f705045,0x00c40e611debc842,0x0085010489bd5caa,0x007c5050acec026f,0x00f67d943c8da6d1,0x00de1da0278074c6)},
-  {FIELD_LITERAL(0x00b373076597455f,0x00e83f1af53ac0f5,0x0041f63c01dc6840,0x0097dea19b0c6f4b,0x007f9d63b4c1572c,0x00e692d492d0f5f0,0x00cbcb392e83b4ad,0x0069c0f39ed9b1a8)},
-  {FIELD_LITERAL(0x00861030012707c9,0x009fbbdc7fd4aafb,0x008f591d6b554822,0x00df08a41ea18ade,0x009d7d83e642abea,0x0098c71bda3b78ff,0x0022c89e7021f005,0x0044d29a3fe1e3c4)},
-  {FIELD_LITERAL(0x00e748cd7b5c52f2,0x00ea9df883f89cc3,0x0018970df156b6c7,0x00c5a46c2a33a847,0x00cbde395e32aa09,0x0072474ebb423140,0x00fb00053086a23d,0x001dafcfe22d4e1f)},
-  {FIELD_LITERAL(0x00c903ee6d825540,0x00add6c4cf98473e,0x007636efed4227f1,0x00905124ae55e772,0x00e6b38fab12ed53,0x0045e132b863fe55,0x003974662edb366a,0x00b1787052be8208)},
-  {FIELD_LITERAL(0x00a614b00d775c7c,0x00d7c78941cc7754,0x00422dd68b5dabc4,0x00a6110f0167d28b,0x00685a309c252886,0x00b439ffd5143660,0x003656e29ee7396f,0x00c7c9b9ed5ad854)},
-  {FIELD_LITERAL(0x0040f7e7c5b37bf2,0x0064e4dc81181bba,0x00a8767ae2a366b6,0x001496b4f90546f2,0x002a28493f860441,0x0021f59513049a3a,0x00852d369a8b7ee3,0x00dd2e7d8b7d30a9)},
-  {FIELD_LITERAL(0x00006e34a35d9fbc,0x00eee4e48b2f019a,0x006b344743003a5f,0x00541d514f04a7e3,0x00e81f9ee7647455,0x005e2b916c438f81,0x00116f8137b7eff0,0x009bd3decc7039d1)},
-  {FIELD_LITERAL(0x0005d226f434110d,0x00af8288b8ef21d5,0x004a7a52ef181c8c,0x00be0b781b4b06de,0x00e6e3627ded07e1,0x00e43aa342272b8b,0x00e86ab424577d84,0x00fb292c566e35bb)},
-  {FIELD_LITERAL(0x00334f5303ea1222,0x00dfb3dbeb0a5d3e,0x002940d9592335c1,0x00706a7a63e8938a,0x005a533558bc4caf,0x00558e33192022a9,0x00970d9faf74c133,0x002979fcb63493ca)},
-  {FIELD_LITERAL(0x00e38abece3c82ab,0x005a51f18a2c7a86,0x009dafa2e86d592e,0x00495a62eb688678,0x00b79df74c0eb212,0x0023e8cc78b75982,0x005998cb91075e13,0x00735aa9ba61bc76)},
-  {FIELD_LITERAL(0x00d9f7a82ddbe628,0x00a1fc782889ae0f,0x0071ffda12d14b66,0x0037cf4eca7fb3d5,0x00c80bc242c58808,0x0075bf8c2d08c863,0x008d41f31afc52a7,0x00197962ecf38741)},
-  {FIELD_LITERAL(0x006e9f475cccf2ee,0x00454b9cd506430c,0x00224a4fb79ee479,0x0062e3347ef0b5e2,0x0034fd2a3512232a,0x00b8b3cb0f457046,0x00eb20165daa38ec,0x00128eebc2d9c0f7)},
-  {FIELD_LITERAL(0x00bfc5fa1e4ea21f,0x00c21d7b6bb892e6,0x00cf043f3acf0291,0x00c13f2f849b3c90,0x00d1a97ebef10891,0x0061e130a445e7fe,0x0019513fdedbf22b,0x001d60c813bff841)},
-  {FIELD_LITERAL(0x0019561c7fcf0213,0x00e3dca6843ebd77,0x0068ea95b9ca920e,0x009bdfb70f253595,0x00c68f59186aa02a,0x005aee1cca1c3039,0x00ab79a8a937a1ce,0x00b9a0e549959e6f)},
-  {FIELD_LITERAL(0x00c79e0b6d97dfbd,0x00917c71fd2bc6e8,0x00db7529ccfb63d8,0x00be5be957f17866,0x00a9e11fdc2cdac1,0x007b91a8e1f44443,0x00a3065e4057d80f,0x004825f5b8d5f6d4)},
-  {FIELD_LITERAL(0x003e4964fa8a8fc8,0x00f6a1cdbcf41689,0x00943cb18fe7fda7,0x00606dafbf34440a,0x005d37a86399c789,0x00e79a2a69417403,0x00fe34f7e68b8866,0x0011f448ed2df10e)},
-  {FIELD_LITERAL(0x00f1f57efcc1fcc4,0x00513679117de154,0x002e5b5b7c86d8c3,0x009f6486561f9cfb,0x00169e74b0170cf7,0x00900205af4af696,0x006acfddb77853f3,0x00df184c90f31068)},
-  {FIELD_LITERAL(0x00b37396c3320791,0x00fc7b67175c5783,0x00c36d2cd73ecc38,0x0080ebcc0b328fc5,0x0043a5b22b35d35d,0x00466c9f1713c9da,0x0026ad346dcaa8da,0x007c684e701183a6)},
-  {FIELD_LITERAL(0x00fd579ffb691713,0x00b76af4f81c412d,0x00f239de96110f82,0x00e965fb437f0306,0x00ca7e9436900921,0x00e487f1325fa24a,0x00633907de476380,0x00721c62ac5b8ea0)},
-  {FIELD_LITERAL(0x00c0d54e542eb4f9,0x004ed657171c8dcf,0x00b743a4f7c2a39b,0x00fd9f93ed6cc567,0x00307fae3113e58b,0x0058aa577c93c319,0x00d254556f35b346,0x00491aada2203f0d)},
-  {FIELD_LITERAL(0x00dff3103786ff34,0x000144553b1f20c3,0x0095613baeb930e4,0x00098058275ea5d4,0x007cd1402b046756,0x0074d74e4d58aee3,0x005f93fc343ff69b,0x00873df17296b3b0)},
-  {FIELD_LITERAL(0x00c4a1fb48635413,0x00b5dd54423ad59f,0x009ff5d53fd24a88,0x003c98d267fc06a7,0x002db7cb20013641,0x00bd1d6716e191f2,0x006dbc8b29094241,0x0044bbf233dafa2c)},
-  {FIELD_LITERAL(0x0055838d41f531e6,0x00bf6a2dd03c81b2,0x005827a061c4839e,0x0000de2cbb36aac3,0x002efa29d9717478,0x00f9e928cc8a77ba,0x00c134b458def9ef,0x00958a182223fc48)},
-  {FIELD_LITERAL(0x000a9ee23c06881f,0x002c727d3d871945,0x00f47d971512d24a,0x00671e816f9ef31a,0x00883af2cfaad673,0x00601f98583d6c9a,0x00b435f5adc79655,0x00ad87b71c04bff2)},
-  {FIELD_LITERAL(0x007860d99db787cf,0x00fda8983018f4a8,0x008c8866bac4743c,0x00ef471f84c82a3f,0x00abea5976d3b8e7,0x00714882896cd015,0x00b49fae584ddac5,0x008e33a1a0b69c81)},
-  {FIELD_LITERAL(0x007b6ee2c9e8a9ec,0x002455dbbd89d622,0x006490cf4eaab038,0x00d925f6c3081561,0x00153b3047de7382,0x003b421f8bdceb6f,0x00761a4a5049da78,0x00980348c5202433)},
-  {FIELD_LITERAL(0x007f8a43da97dd5c,0x00058539c800fc7b,0x0040f3cf5a28414a,0x00d68dd0d95283d6,0x004adce9da90146e,0x00befa41c7d4f908,0x007603bc2e3c3060,0x00bdf360ab3545db)},
-  {FIELD_LITERAL(0x00eebfd4e2312cc3,0x00474b2564e4fc8c,0x003303ef14b1da9b,0x003c93e0e66beb1d,0x0013619b0566925a,0x008817c24d901bf3,0x00b62bd8898d218b,0x0075a7716f1e88a2)},
-  {FIELD_LITERAL(0x0009218da1e6890f,0x0026907f5fd02575,0x004dabed5f19d605,0x003abf181870249d,0x00b52fd048cc92c4,0x00b6dd51e415a5c5,0x00d9eb82bd2b4014,0x002c865a43b46b43)},
-  {FIELD_LITERAL(0x0070047189452f4c,0x00f7ad12e1ce78d5,0x00af1ba51ec44a8b,0x005f39f63e667cd6,0x00058eac4648425e,0x00d7fdab42bea03b,0x0028576a5688de15,0x00af973209e77c10)},
-  {FIELD_LITERAL(0x00c338b915d8fef0,0x00a893292045c39a,0x0028ab4f2eba6887,0x0060743cb519fd61,0x0006213964093ac0,0x007c0b7a43f6266d,0x008e3557c4fa5bda,0x002da976de7b8d9d)},
-  {FIELD_LITERAL(0x0048729f8a8b6dcd,0x00fe23b85cc4d323,0x00e7384d16e4db0e,0x004a423970678942,0x00ec0b763345d4ba,0x00c477b9f99ed721,0x00c29dad3777b230,0x001c517b466f7df6)},
-  {FIELD_LITERAL(0x006366c380f7b574,0x001c7d1f09ff0438,0x003e20a7301f5b22,0x00d3efb1916d28f6,0x0049f4f81060ce83,0x00c69d91ea43ced1,0x002b6f3e5cd269ed,0x005b0fb22ce9ec65)},
-  {FIELD_LITERAL(0x00aa2261022d883f,0x00ebcca4548010ac,0x002528512e28a437,0x0070ca7676b66082,0x0084bda170f7c6d3,0x00581b4747c9b8bb,0x005c96a01061c7e2,0x00fb7c4a362b5273)},
-  {FIELD_LITERAL(0x00c30020eb512d02,0x0060f288283a4d26,0x00b7ed13becde260,0x0075ebb74220f6e9,0x00701079fcfe8a1f,0x001c28fcdff58938,0x002e4544b8f4df6b,0x0060c5bc4f1a7d73)},
-  {FIELD_LITERAL(0x00ae307cf069f701,0x005859f222dd618b,0x00212d6c46ec0b0d,0x00a0fe4642afb62d,0x00420d8e4a0a8903,0x00a80ff639bdf7b0,0x0019bee1490b5d8e,0x007439e4b9c27a86)},
-  {FIELD_LITERAL(0x00a94700032a093f,0x0076e96c225216e7,0x00a63a4316e45f91,0x007d8bbb4645d3b2,0x00340a6ff22793eb,0x006f935d4572aeb7,0x00b1fb69f00afa28,0x009e8f3423161ed3)},
-  {FIELD_LITERAL(0x009ef49c6b5ced17,0x00a555e6269e9f0a,0x007e6f1d79ec73b5,0x009ac78695a32ac4,0x0001d77fbbcd5682,0x008cea1fee0aaeed,0x00f42bea82a53462,0x002e46ab96cafcc9)},
-  {FIELD_LITERAL(0x0051cfcc5885377a,0x00dce566cb1803ca,0x00430c7643f2c7d4,0x00dce1a1337bdcc0,0x0010d5bd7283c128,0x003b1b547f9b46fe,0x000f245e37e770ab,0x007b72511f022b37)},
-  {FIELD_LITERAL(0x0060db815bc4786c,0x006fab25beedc434,0x00c610d06084797c,0x000c48f08537bec0,0x0031aba51c5b93da,0x007968fa6e01f347,0x0030070da52840c6,0x00c043c225a4837f)},
-  {FIELD_LITERAL(0x001bcfd00649ee93,0x006dceb47e2a0fd5,0x00f2cebda0cf8fd0,0x00b6b9d9d1fbdec3,0x00815262e6490611,0x00ef7f5ce3176760,0x00e49cd0c998d58b,0x005fc6cc269ba57c)},
-  {FIELD_LITERAL(0x008940211aa0d633,0x00addae28136571d,0x00d68fdbba20d673,0x003bc6129bc9e21a,0x000346cf184ebe9a,0x0068774d741ebc7f,0x0019d5e9e6966557,0x0003cbd7f981b651)},
-  {FIELD_LITERAL(0x004a2902926f8d3f,0x00ad79b42637ab75,0x0088f60b90f2d4e8,0x0030f54ef0e398c4,0x00021dc9bf99681e,0x007ebf66fde74ee3,0x004ade654386e9a4,0x00e7485066be4c27)},
-  {FIELD_LITERAL(0x00445f1263983be0,0x004cf371dda45e6a,0x00744a89d5a310e7,0x001f20ce4f904833,0x00e746edebe66e29,0x000912ab1f6c153d,0x00f61d77d9b2444c,0x0001499cd6647610)}
+VECTOR_ALIGNED __attribute__ ((visibility("hidden"))) =
+{
+    {
+    FIELD_LITERAL(0x00cc3b062366f4cc, 0x003d6e34e314aa3c,
+                      0x00d51c0a7521774d, 0x0094e060eec6ab8b,
+                      0x00d21291b4d80082, 0x00befed12b55ef1e,
+                      0x00c3dd2df5c94518, 0x00e0a7b112b8d4e6)}, {
+    FIELD_LITERAL(0x0019eb5608d8723a, 0x00d1bab52fb3aedb,
+                      0x00270a7311ebc90c, 0x0037c12b91be7f13,
+                      0x005be16cd8b5c704, 0x003e181acda888e1,
+                      0x00bc1f00fc3fc6d0, 0x00d3839bfa319e20)}, {
+    FIELD_LITERAL(0x003caeb88611909f, 0x00ea8b378c4df3d4,
+                      0x00b3295b95a5a19a, 0x00a65f97514bdfb5,
+                      0x00b39efba743cab1, 0x0016ba98b862fd2d,
+                      0x0001508812ee71d7, 0x000a75740eea114a)}, {
+    FIELD_LITERAL(0x00ebcf0eb649f823, 0x00166d332e98ea03,
+                      0x0059ddf64f5cd5f6, 0x0047763123d9471b,
+                      0x00a64065c53ef62f, 0x00978e44c480153d,
+                      0x000b5b2a0265f194, 0x0046a24b9f32965a)}, {
+    FIELD_LITERAL(0x00b9eef787034df0, 0x0020bc24de3390cd,
+                      0x000022160bae99bb, 0x00ae66e886e97946,
+                      0x0048d4bbe02cbb8b, 0x0072ba97b34e38d4,
+                      0x00eae7ec8f03e85a, 0x005ba92ecf808b2c)}, {
+    FIELD_LITERAL(0x00c9cfbbe74258fd, 0x00843a979ea9eaa7,
+                      0x000cbb4371cfbe90, 0x0059bac8f7f0a628,
+                      0x004b3dff882ff530, 0x0011869df4d90733,
+                      0x00595aa71f4abfc2, 0x0070e2d38990c2e6)}, {
+    FIELD_LITERAL(0x00de2010c0a01733, 0x00c739a612e24297,
+                      0x00a7212643141d7c, 0x00f88444f6b67c11,
+                      0x00484b7b16ec28f2, 0x009c1b8856af9c68,
+                      0x00ff4669591fe9d6, 0x0054974be08a32c8)}, {
+    FIELD_LITERAL(0x0010de3fd682ceed, 0x008c07642d83ca4e,
+                      0x0013bb064e00a1cc, 0x009411ae27870e11,
+                      0x00ea8e5b4d531223, 0x0032fe7d2aaece2e,
+                      0x00d989e243e7bb41, 0x000fe79a508e9b8b)}, {
+    FIELD_LITERAL(0x005e0426b9bfc5b1, 0x0041a5b1d29ee4fa,
+                      0x0015b0def7774391, 0x00bc164f1f51af01,
+                      0x00d543b0942797b9, 0x003c129b6398099c,
+                      0x002b114c6e5adf18, 0x00b4e630e4018a7b)}, {
+    FIELD_LITERAL(0x00d490afc95f8420, 0x00b096bf50c1d9b9,
+                      0x00799fd707679866, 0x007c74d9334afbea,
+                      0x00efaa8be80ff4ed, 0x0075c4943bb81694,
+                      0x00c21c2fca161f36, 0x00e77035d492bfee)}, {
+    FIELD_LITERAL(0x006658a190dd6661, 0x00e0e9bab38609a6,
+                      0x0028895c802237ed, 0x006a0229c494f587,
+                      0x002dcde96c9916b7, 0x00d158822de16218,
+                      0x00173b917a06856f, 0x00ca78a79ae07326)}, {
+    FIELD_LITERAL(0x00e35bfc79caced4, 0x0087238a3e1fe3bb,
+                      0x00bcbf0ff4ceff5b, 0x00a19c1c94099b91,
+                      0x0071e102b49db976, 0x0059e3d004eada1e,
+                      0x008da78afa58a47e, 0x00579c8ebf269187)}, {
+    FIELD_LITERAL(0x00a16c2905eee75f, 0x009d4bcaea2c7e1d,
+                      0x00d3bd79bfad19df, 0x0050da745193342c,
+                      0x006abdb8f6b29ab1, 0x00a24fe0a4fef7ef,
+                      0x0063730da1057dfb, 0x00a08c312c8eb108)}, {
+    FIELD_LITERAL(0x00b583be005375be, 0x00a40c8f8a4e3df4,
+                      0x003fac4a8f5bdbf7, 0x00d4481d872cd718,
+                      0x004dc8749cdbaefe, 0x00cce740d5e5c975,
+                      0x000b1c1f4241fd21, 0x00a76de1b4e1cd07)}, {
+    FIELD_LITERAL(0x007a076500d30b62, 0x000a6e117b7f090f,
+                      0x00c8712ae7eebd9a, 0x000fbd6c1d5f6ff7,
+                      0x003a7977246ebf11, 0x00166ed969c6600e,
+                      0x00aa42e469c98bec, 0x00dc58f307cf0666)}, {
+    FIELD_LITERAL(0x004b491f65a9a28b, 0x006a10309e8a55b7,
+                      0x00b67210185187ef, 0x00cf6497b12d9b8f,
+                      0x0085778c56e2b1ba, 0x0015b4c07a814d85,
+                      0x00686479e62da561, 0x008de5d88f114916)}, {
+    FIELD_LITERAL(0x00e37c88d6bba7b1, 0x003e4577e1b8d433,
+                      0x0050d8ea5f510ec0, 0x0042fc9f2da9ef59,
+                      0x003bd074c1141420, 0x00561b8b7b68774e,
+                      0x00232e5e5d1013a3, 0x006b7f2cb3d7e73f)}, {
+    FIELD_LITERAL(0x004bdd0f0b41e6a0, 0x001773057c405d24,
+                      0x006029f99915bd97, 0x006a5ba70a17fe2f,
+                      0x0046111977df7e08, 0x004d8124c89fb6b7,
+                      0x00580983b2bb2724, 0x00207bf330d6f3fe)}, {
+    FIELD_LITERAL(0x007efdc93972a48b, 0x002f5e50e78d5fee,
+                      0x0080dc11d61c7fe5, 0x0065aa598707245b,
+                      0x009abba2300641be, 0x000c68787656543a,
+                      0x00ffe0fef2dc0a17, 0x00007ffbd6cb4f3a)}, {
+    FIELD_LITERAL(0x0036012f2b836efc, 0x00458c126d6b5fbc,
+                      0x00a34436d719ad1e, 0x0097be6167117dea,
+                      0x0009c219c879cff3, 0x0065564493e60755,
+                      0x00993ac94a8cdec0, 0x002d4885a4d0dbaf)}, {
+    FIELD_LITERAL(0x00598b60b4c068ba, 0x00c547a0be7f1afd,
+                      0x009582164acf12af, 0x00af4acac4fbbe40,
+                      0x005f6ca7c539121a, 0x003b6e752ebf9d66,
+                      0x00f08a30d5cac5d4, 0x00e399bb5f97c5a9)}, {
+    FIELD_LITERAL(0x007445a0409c0a66, 0x00a65c369f3829c0,
+                      0x0031d248a4f74826, 0x006817f34defbe8e,
+                      0x00649741d95ebf2e, 0x00d46466ab16b397,
+                      0x00fdc35703bee414, 0x00343b43334525f8)}, {
+    FIELD_LITERAL(0x001796bea93f6401, 0x00090c5a42e85269,
+                      0x00672412ba1252ed, 0x001201d47b6de7de,
+                      0x006877bccfe66497, 0x00b554fd97a4c161,
+                      0x009753f42dbac3cf, 0x00e983e3e378270a)}, {
+    FIELD_LITERAL(0x00ac3eff18849872, 0x00f0eea3bff05690,
+                      0x00a6d72c21dd505d, 0x001b832642424169,
+                      0x00a6813017b540e5, 0x00a744bd71b385cd,
+                      0x0022a7d089130a7b, 0x004edeec9a133486)}, {
+    FIELD_LITERAL(0x00b2d6729196e8a9, 0x0088a9bb2031cef4,
+                      0x00579e7787dc1567, 0x0030f49feb059190,
+                      0x00a0b1d69c7f7d8f, 0x0040bdcc6d9d806f,
+                      0x00d76c4037edd095, 0x00bbf24376415dd7)}, {
+    FIELD_LITERAL(0x00240465ff5a7197, 0x00bb97e76caf27d0,
+                      0x004b4edbf8116d39, 0x001d8586f708cbaa,
+                      0x000f8ee8ff8e4a50, 0x00dde5a1945dd622,
+                      0x00e6fc1c0957e07c, 0x0041c9cdabfd88a0)}, {
+    FIELD_LITERAL(0x005344b0bf5b548c, 0x002957d0b705cc99,
+                      0x00f586a70390553d, 0x0075b3229f583cc3,
+                      0x00a1aa78227490e4, 0x001bf09cf7957717,
+                      0x00cf6bf344325f52, 0x0065bd1c23ca3ecf)}, {
+    FIELD_LITERAL(0x009bff3b3239363c, 0x00e17368796ef7c0,
+                      0x00528b0fe0971f3a, 0x0008014fc8d4a095,
+                      0x00d09f2e8a521ec4, 0x006713ab5dde5987,
+                      0x0003015758e0dbb1, 0x00215999f1ba212d)}, {
+    FIELD_LITERAL(0x002c88e93527da0e, 0x0077c78f3456aad5,
+                      0x0071087a0a389d1c, 0x00934dac1fb96dbd,
+                      0x008470e801162697, 0x005bc2196cd4ad49,
+                      0x00e535601d5087c3, 0x00769888700f497f)}, {
+    FIELD_LITERAL(0x00da7a4b557298ad, 0x0019d2589ea5df76,
+                      0x00ef3e38be0c6497, 0x00a9644e1312609a,
+                      0x004592f61b2558da, 0x0082c1df510d7e46,
+                      0x0042809a535c0023, 0x00215bcb5afd7757)}, {
+    FIELD_LITERAL(0x002b9df55a1a4213, 0x00dcfc3b464a26be,
+                      0x00c4f9e07a8144d5, 0x00c8e0617a92b602,
+                      0x008e3c93accafae0, 0x00bf1bcb95b2ca60,
+                      0x004ce2426a613bf3, 0x00266cac58e40921)}, {
+    FIELD_LITERAL(0x008456d5db76e8f0, 0x0032ca9cab2ce163,
+                      0x0059f2b8bf91abcf, 0x0063c2a021712788,
+                      0x00f86155af22f72d, 0x00db98b2a6c005a0,
+                      0x00ac6e416a693ac4, 0x007a93572af53226)}, {
+    FIELD_LITERAL(0x0087767520f0de22, 0x0091f64012279fb5,
+                      0x001050f1f0644999, 0x004f097a2477ad3c,
+                      0x006b37913a9947bd, 0x001a3d78645af241,
+                      0x0057832bbb3008a7, 0x002c1d902b80dc20)}, {
+    FIELD_LITERAL(0x001a6002bf178877, 0x009bce168aa5af50,
+                      0x005fc318ff04a7f5, 0x0052818f55c36461,
+                      0x008768f5d4b24afb, 0x0037ffbae7b69c85,
+                      0x0018195a4b61edc0, 0x001e12ea088434b2)}, {
+    FIELD_LITERAL(0x0047d3f804e7ab07, 0x00a809ab5f905260,
+                      0x00b3ffc7cdaf306d, 0x00746e8ec2d6e509,
+                      0x00d0dade8887a645, 0x00acceeebde0dd37,
+                      0x009bc2579054686b, 0x0023804f97f1c2bf)}, {
+    FIELD_LITERAL(0x0043e2e2e50b80d7, 0x00143aafe4427e0f,
+                      0x005594aaecab855b, 0x008b12ccaaecbc01,
+                      0x002deeb091082bc3, 0x009cca4be2ae7514,
+                      0x00142b96e696d047, 0x00ad2a2b1c05256a)}, {
+    FIELD_LITERAL(0x003914f2f144b78b, 0x007a95dd8bee6f68,
+                      0x00c7f4384d61c8e6, 0x004e51eb60f1bdb2,
+                      0x00f64be7aa4621d8, 0x006797bfec2f0ac0,
+                      0x007d17aab3c75900, 0x001893e73cac8bc5)}, {
+    FIELD_LITERAL(0x00140360b768665b, 0x00b68aca4967f977,
+                      0x0001089b66195ae4, 0x00fe71122185e725,
+                      0x000bca2618d49637, 0x00a54f0557d7e98a,
+                      0x00cdcd2f91d6f417, 0x00ab8c13741fd793)}, {
+    FIELD_LITERAL(0x00725ee6b1e549e0, 0x007124a0769777fa,
+                      0x000b68fdad07ae42, 0x0085b909cd4952df,
+                      0x0092d2e3c81606f4, 0x009f22f6cac099a0,
+                      0x00f59da57f2799a8, 0x00f06c090122f777)}, {
+    FIELD_LITERAL(0x00ce0bed0a3532bc, 0x001a5048a22df16b,
+                      0x00e31db4cbad8bf1, 0x00e89292120cf00e,
+                      0x007d1dd1a9b00034, 0x00e2a9041ff8f680,
+                      0x006a4c837ae596e7, 0x00713af1068070b3)}, {
+    FIELD_LITERAL(0x00c4fe64ce66d04b, 0x00b095d52e09b3d7,
+                      0x00758bbecb1a3a8e, 0x00f35cce8d0650c0,
+                      0x002b878aa5984473, 0x0062e0a3b7544ddc,
+                      0x00b25b290ed116fe, 0x007b0f6abe0bebf2)}, {
+    FIELD_LITERAL(0x0081d4e3addae0a8, 0x003410c836c7ffcc,
+                      0x00c8129ad89e4314, 0x000e3d5a23922dcd,
+                      0x00d91e46f29c31f3, 0x006c728cde8c5947,
+                      0x002bc655ba2566c0, 0x002ca94721533108)}, {
+    FIELD_LITERAL(0x0051e4b3f764d8a9, 0x0019792d46e904a0,
+                      0x00853bc13dbc8227, 0x000840208179f12d,
+                      0x0068243474879235, 0x0013856fbfe374d0,
+                      0x00bda12fe8676424, 0x00bbb43635926eb2)}, {
+    FIELD_LITERAL(0x0012cdc880a93982, 0x003c495b21cd1b58,
+                      0x00b7e5c93f22a26e, 0x0044aa82dfb99458,
+                      0x009ba092cdffe9c0, 0x00a14b3ab2083b73,
+                      0x000271c2f70e1c4b, 0x00eea9cac0f66eb8)}, {
+    FIELD_LITERAL(0x001a1847c4ac5480, 0x00b1b412935bb03a,
+                      0x00f74285983bf2b2, 0x00624138b5b5d0f1,
+                      0x008820c0b03d38bf, 0x00b94e50a18c1572,
+                      0x0060f6934841798f, 0x00c52f5d66d6ebe2)}, {
+    FIELD_LITERAL(0x00da23d59f9bcea6, 0x00e0f27007a06a4b,
+                      0x00128b5b43a6758c, 0x000cf50190fa8b56,
+                      0x00fc877aba2b2d72, 0x00623bef52edf53f,
+                      0x00e6af6b819669e2, 0x00e314dc34fcaa4f)}, {
+    FIELD_LITERAL(0x0066e5eddd164d1e, 0x00418a7c6fe28238,
+                      0x0002e2f37e962c25, 0x00f01f56b5975306,
+                      0x0048842fa503875c, 0x0057b0e968078143,
+                      0x00ff683024f3d134, 0x0082ae28fcad12e4)}, {
+    FIELD_LITERAL(0x0011ddfd21260e42, 0x00d05b0319a76892,
+                      0x00183ea4368e9b8f, 0x00b0815662affc96,
+                      0x00b466a5e7ce7c88, 0x00db93b07506e6ee,
+                      0x0033885f82f62401, 0x0086f9090ec9b419)}, {
+    FIELD_LITERAL(0x00d95d1c5fcb435a, 0x0016d1ed6b5086f9,
+                      0x00792aa0b7e54d71, 0x0067b65715f1925d,
+                      0x00a219755ec6176b, 0x00bc3f026b12c28f,
+                      0x00700c897ffeb93e, 0x0089b83f6ec50b46)}, {
+    FIELD_LITERAL(0x003c97e6384da36e, 0x00423d53eac81a09,
+                      0x00b70d68f3cdce35, 0x00ee7959b354b92c,
+                      0x00f4e9718819c8ca, 0x009349f12acbffe9,
+                      0x005aee7b62cb7da6, 0x00d97764154ffc86)}, {
+    FIELD_LITERAL(0x00526324babb46dc, 0x002ee99b38d7bf9e,
+                      0x007ea51794706ef4, 0x00abeb04da6e3c39,
+                      0x006b457c1d281060, 0x00fe243e9a66c793,
+                      0x00378de0fb6c6ee4, 0x003e4194b9c3cb93)}, {
+    FIELD_LITERAL(0x00fed3cd80ca2292, 0x0015b043a73ca613,
+                      0x000a9fd7bf9be227, 0x003b5e03de2db983,
+                      0x005af72d46904ef7, 0x00c0f1b5c49faa99,
+                      0x00dc86fc3bd305e1, 0x00c92f08c1cb1797)}, {
+    FIELD_LITERAL(0x0079680ce111ed3b, 0x001a1ed82806122c,
+                      0x000c2e7466d15df3, 0x002c407f6f7150fd,
+                      0x00c5e7c96b1b0ce3, 0x009aa44626863ff9,
+                      0x00887b8b5b80be42, 0x00b6023cec964825)}, {
+    FIELD_LITERAL(0x00e4a8e1048970c8, 0x0062887b7830a302,
+                      0x00bcf1c8cd81402b, 0x0056dbb81a68f5be,
+                      0x0014eced83f12452, 0x00139e1a510150df,
+                      0x00bb81140a82d1a3, 0x000febcc1aaf1aa7)}, {
+    FIELD_LITERAL(0x00a7527958238159, 0x0013ec9537a84cd6,
+                      0x001d7fee7d562525, 0x00b9eefa6191d5e5,
+                      0x00dbc97db70bcb8a, 0x00481affc7a4d395,
+                      0x006f73d3e70c31bb, 0x00183f324ed96a61)}, {
+    FIELD_LITERAL(0x0039dd7ce7fc6860, 0x00d64f6425653da1,
+                      0x003e037c7f57d0af, 0x0063477a06e2bcf2,
+                      0x001727dbb7ac67e6, 0x0049589f5efafe2e,
+                      0x00fc0fef2e813d54, 0x008baa5d087fb50d)}, {
+    FIELD_LITERAL(0x0024fb59d9b457c7, 0x00a7d4e060223e4c,
+                      0x00c118d1b555fd80, 0x0082e216c732f22a,
+                      0x00cd2a2993089504, 0x003638e836a3e13d,
+                      0x000d855ee89b4729, 0x008ec5b7d4810c91)}, {
+    FIELD_LITERAL(0x001bf51f7d65cdfd, 0x00d14cdafa16a97d,
+                      0x002c38e60fcd10e7, 0x00a27446e393efbd,
+                      0x000b5d8946a71fdd, 0x0063df2cde128f2f,
+                      0x006c8679569b1888, 0x0059ffc4925d732d)}, {
+    FIELD_LITERAL(0x00ece96f95f2b66f, 0x00ece7952813a27b,
+                      0x0026fc36592e489e, 0x007157d1a2de0f66,
+                      0x00759dc111d86ddf, 0x0012881e5780bb0f,
+                      0x00c8ccc83ad29496, 0x0012b9bd1929eb71)}, {
+    FIELD_LITERAL(0x000fa15a20da5df0, 0x00349ddb1a46cd31,
+                      0x002c512ad1d8e726, 0x00047611f669318d,
+                      0x009e68fba591e17e, 0x004320dffa803906,
+                      0x00a640874951a3d3, 0x00b6353478baa24f)}, {
+    FIELD_LITERAL(0x009696510000d333, 0x00ec2f788bc04826,
+                      0x000e4d02b1f67ba5, 0x00659aa8dace08b6,
+                      0x00d7a38a3a3ae533, 0x008856defa8c746b,
+                      0x004d7a4402d3da1a, 0x00ea82e06229260f)}, {
+    FIELD_LITERAL(0x006a15bb20f75c0c, 0x0079a144027a5d0c,
+                      0x00d19116ce0b4d70, 0x0059b83bcb0b268e,
+                      0x005f58f63f16c127, 0x0079958318ee2c37,
+                      0x00defbb063d07f82, 0x00f1f0b931d2d446)}, {
+    FIELD_LITERAL(0x00cb5e4c3c35d422, 0x008df885ca43577f,
+                      0x00fa50b16ca3e471, 0x005a0e58e17488c8,
+                      0x00b2ceccd6d34d19, 0x00f01d5d235e36e9,
+                      0x00db2e7e4be6ca44, 0x00260ab77f35fccd)}, {
+    FIELD_LITERAL(0x006f6fd9baac61d5, 0x002a7710a020a895,
+                      0x009de0db7fc03d4d, 0x00cdedcb1875f40b,
+                      0x00050caf9b6b1e22, 0x005e3a6654456ab0,
+                      0x00775fdf8c4423d4, 0x0028701ea5738b5d)}, {
+    FIELD_LITERAL(0x009ffd90abfeae96, 0x00cba3c2b624a516,
+                      0x005ef08bcee46c91, 0x00e6fde30afb6185,
+                      0x00f0b4db4f818ce4, 0x006c54f45d2127f5,
+                      0x00040125035854c7, 0x00372658a3287e13)}, {
+    FIELD_LITERAL(0x00d7070fb1beb2ab, 0x0078fc845a93896b,
+                      0x006894a4b2f224a6, 0x005bdd8192b9dbde,
+                      0x00b38839874b3a9e, 0x00f93618b04b7a57,
+                      0x003e3ec75fd2c67e, 0x00bf5e6bfc29494a)}, {
+    FIELD_LITERAL(0x00f19224ebba2aa5, 0x0074f89d358e694d,
+                      0x00eea486597135ad, 0x0081579a4555c7e1,
+                      0x0010b9b872930a9d, 0x00f002e87a30ecc0,
+                      0x009b9d66b6de56e2, 0x00a3c4f45e8004eb)}, {
+    FIELD_LITERAL(0x0045e8dda9400888, 0x002ff12e5fc05db7,
+                      0x00a7098d54afe69c, 0x00cdbe846a500585,
+                      0x00879c1593ca1882, 0x003f7a7fea76c8b0,
+                      0x002cd73dd0c8e0a1, 0x00645d6ce96f51fe)}, {
+    FIELD_LITERAL(0x002b7e83e123d6d6, 0x00398346f7419c80,
+                      0x0042922e55940163, 0x005e7fc5601886a3,
+                      0x00e88f2cee1d3103, 0x00e7fab135f2e377,
+                      0x00b059984dbf0ded, 0x0009ce080faa5bb8)}, {
+    FIELD_LITERAL(0x0085e78af7758979, 0x00275a4ee1631a3a,
+                      0x00d26bc0ed78b683, 0x004f8355ea21064f,
+                      0x00d618e1a32696e5, 0x008d8d7b150e5680,
+                      0x00a74cd854b278d2, 0x001dd62702203ea0)}, {
+    FIELD_LITERAL(0x00f89335c2a59286, 0x00a0f5c905d55141,
+                      0x00b41fb836ee9382, 0x00e235d51730ca43,
+                      0x00a5cb37b5c0a69a, 0x009b966ffe136c45,
+                      0x00cb2ea10bf80ed1, 0x00fb2b370b40dc35)}, {
+    FIELD_LITERAL(0x00d687d16d4ee8ba, 0x0071520bdd069dff,
+                      0x00de85c60d32355d, 0x0087d2e3565102f4,
+                      0x00cde391b8dfc9aa, 0x00e18d69efdfefe5,
+                      0x004a9d0591954e91, 0x00fa36dd8b50eee5)}, {
+    FIELD_LITERAL(0x002e788749a865f7, 0x006e4dc3116861ea,
+                      0x009f1428c37276e6, 0x00e7d2e0fc1e1226,
+                      0x003aeebc6b6c45f6, 0x0071a8073bf500c9,
+                      0x004b22ad986b530c, 0x00f439e63c0d79d4)}, {
+    FIELD_LITERAL(0x006bc3d53011f470, 0x00032d6e692b83e8,
+                      0x00059722f497cd0b, 0x0009b4e6f0c497cc,
+                      0x0058a804b7cce6c0, 0x002b71d3302bbd5d,
+                      0x00e2f82a36765fce, 0x008dded99524c703)}, {
+    FIELD_LITERAL(0x004d058953747d64, 0x00701940fe79aa6f,
+                      0x00a620ac71c760bf, 0x009532b611158b75,
+                      0x00547ed7f466f300, 0x003cb5ab53a8401a,
+                      0x00c7763168ce3120, 0x007e48e33e4b9ab2)}, {
+    FIELD_LITERAL(0x001b2fc57bf3c738, 0x006a3f918993fb80,
+                      0x0026f7a14fdec288, 0x0075a2cdccef08db,
+                      0x00d3ecbc9eecdbf1, 0x0048c40f06e5bf7f,
+                      0x00d63e423009896b, 0x000598bc99c056a8)}, {
+    FIELD_LITERAL(0x002f194eaafa46dc, 0x008e38f57fe87613,
+                      0x00dc8e5ae25f4ab2, 0x000a17809575e6bd,
+                      0x00d3ec7923ba366a, 0x003a7e72e0ad75e3,
+                      0x0010024b88436e0a, 0x00ed3c5444b64051)}, {
+    FIELD_LITERAL(0x00831fc1340af342, 0x00c9645669466d35,
+                      0x007692b4cc5a080f, 0x009fd4a47ac9259f,
+                      0x001eeddf7d45928b, 0x003c0446fc45f28b,
+                      0x002c0713aa3e2507, 0x0095706935f0f41e)}, {
+    FIELD_LITERAL(0x00766ae4190ec6d8, 0x0065768cabc71380,
+                      0x00b902598416cdc2, 0x00380021ad38df52,
+                      0x008f0b89d6551134, 0x004254d4cc62c5a5,
+                      0x000d79f4484b9b94, 0x00b516732ae3c50e)}, {
+    FIELD_LITERAL(0x001fb73475c45509, 0x00d2b2e5ea43345a,
+                      0x00cb3c3842077bd1, 0x0029f90ad820946e,
+                      0x007c11b2380778aa, 0x009e54ece62c1704,
+                      0x004bc60c41ca01c3, 0x004525679a5a0b03)}, {
+    FIELD_LITERAL(0x00c64fbddbed87b3, 0x0040601d11731faa,
+                      0x009c22475b6f9d67, 0x0024b79dae875f15,
+                      0x00616fed3f02c3b0, 0x0000cf39f6af2d3b,
+                      0x00c46bac0aa9a688, 0x00ab23e2800da204)}, {
+    FIELD_LITERAL(0x000b3a37617632b0, 0x00597199fe1cfb6c,
+                      0x0042a7ccdfeafdd6, 0x004cc9f15ebcea17,
+                      0x00f436e596a6b4a4, 0x00168861142df0d8,
+                      0x000753edfec26af5, 0x000c495d7e388116)}, {
+    FIELD_LITERAL(0x0017085f4a346148, 0x00c7cf7a37f62272,
+                      0x001776e129bc5c30, 0x009955134c9eef2a,
+                      0x001ba5bdf1df07be, 0x00ec39497103a55c,
+                      0x006578354fda6cfb, 0x005f02719d4f15ee)}, {
+    FIELD_LITERAL(0x0052b9d9b5d9655d, 0x00d4ec7ba1b461c3,
+                      0x00f95df4974f280b, 0x003d8e5ca11aeb51,
+                      0x00d4981eb5a70b26, 0x000af9a4f6659f29,
+                      0x004598c846faeb43, 0x0049d9a183a47670)}, {
+    FIELD_LITERAL(0x000a72d23dcb3f1f, 0x00a3737f84011727,
+                      0x00f870c0fbbf4a47, 0x00a7aadd04b5c9ca,
+                      0x000c7715c67bd072, 0x00015a136afcd74e,
+                      0x0080d5caea499634, 0x0026b448ec7514b7)}, {
+    FIELD_LITERAL(0x00b60167d9e7d065, 0x00e60ba0d07381e8,
+                      0x003a4f17b725c2d4, 0x006c19fe176b64fa,
+                      0x003b57b31af86ccb, 0x0021047c286180fd,
+                      0x00bdc8fb00c6dbb6, 0x00fe4a9f4bab4f3f)}, {
+    FIELD_LITERAL(0x0088ffc3a16111f7, 0x009155e4245d0bc8,
+                      0x00851d68220572d5, 0x00557ace1e514d29,
+                      0x0031d7c339d91022, 0x00101d0ae2eaceea,
+                      0x00246ab3f837b66a, 0x00d5216d381ff530)}, {
+    FIELD_LITERAL(0x0057e7ea35f36dae, 0x00f47d7ad15de22e,
+                      0x00d757ea4b105115, 0x008311457d579d7e,
+                      0x00b49b75b1edd4eb, 0x0081c7ff742fd63a,
+                      0x00ddda3187433df6, 0x00475727d55f9c66)}, {
+    FIELD_LITERAL(0x00a6295218dc136a, 0x00563b3af0e9c012,
+                      0x00d3753b0145db1b, 0x004550389c043dc1,
+                      0x00ea94ae27401bdf, 0x002b0b949f2b7956,
+                      0x00c63f780ad8e23c, 0x00e591c47d6bab15)}, {
+    FIELD_LITERAL(0x00416c582b058eb6, 0x004107da5b2cc695,
+                      0x00b3cd2556aeec64, 0x00c0b418267e57a1,
+                      0x001799293579bd2e, 0x0046ed44590e4d07,
+                      0x001d7459b3630a1e, 0x00c6afba8b6696aa)}, {
+    FIELD_LITERAL(0x008d6009b26da3f8, 0x00898e88ca06b1ca,
+                      0x00edb22b2ed7fe62, 0x00fbc93516aabe80,
+                      0x008b4b470c42ce0d, 0x00e0032ba7d0dcbb,
+                      0x00d76da3a956ecc8, 0x007f20fe74e3852a)}, {
+    FIELD_LITERAL(0x002419222c607674, 0x00a7f23af89188b3,
+                      0x00ad127284e73d1c, 0x008bba582fae1c51,
+                      0x00fc6aa7ca9ecab1, 0x003df5319eb6c2ba,
+                      0x002a05af8a8b199a, 0x004bf8354558407c)}, {
+    FIELD_LITERAL(0x00ce7d4a30f0fcbf, 0x00d02c272629f03d,
+                      0x0048c001f7400bc2, 0x002c21368011958d,
+                      0x0098a550391e96b5, 0x002d80b66390f379,
+                      0x001fa878760cc785, 0x001adfce54b613d5)}, {
+    FIELD_LITERAL(0x001ed4dc71fa2523, 0x005d0bff19bf9b5c,
+                      0x00c3801cee065a64, 0x001ed0b504323fbf,
+                      0x0003ab9fdcbbc593, 0x00df82070178b8d2,
+                      0x00a2bcaa9c251f85, 0x00c628a3674bd02e)}, {
+    FIELD_LITERAL(0x006b7a0674f9f8de, 0x00a742414e5c7cff,
+                      0x0041cbf3c6e13221, 0x00e3a64fd207af24,
+                      0x0087c05f15fbe8d1, 0x004c50936d9e8a33,
+                      0x001306ec21042b6d, 0x00a4f4137d1141c2)}, {
+    FIELD_LITERAL(0x0009e6fb921568b0, 0x00b3c60120219118,
+                      0x002a6c3460dd503a, 0x009db1ef11654b54,
+                      0x0063e4bf0be79601, 0x00670d34bb2592b9,
+                      0x00dcee2f6c4130ce, 0x00b2682e88e77f54)}, {
+    FIELD_LITERAL(0x000d5b4b3da135ab, 0x00838f3e5064d81d,
+                      0x00d44eb50f6d94ed, 0x0008931ab502ac6d,
+                      0x00debe01ca3d3586, 0x0025c206775f0641,
+                      0x005ad4b6ae912763, 0x007e2c318ad8f247)}, {
+    FIELD_LITERAL(0x00ddbe0750dd1add, 0x004b3c7b885844b8,
+                      0x00363e7ecf12f1ae, 0x0062e953e6438f9d,
+                      0x0023cc73b076afe9, 0x00b09fa083b4da32,
+                      0x00c7c3d2456c541d, 0x005b591ec6b694d4)}, {
+    FIELD_LITERAL(0x0028656e19d62fcf, 0x0052a4af03df148d,
+                      0x00122765ddd14e42, 0x00f2252904f67157,
+                      0x004741965b636f3a, 0x006441d296132cb9,
+                      0x005e2106f956a5b7, 0x00247029592d335c)}, {
+    FIELD_LITERAL(0x003fe038eb92f894, 0x000e6da1b72e8e32,
+                      0x003a1411bfcbe0fa, 0x00b55d473164a9e4,
+                      0x00b9a775ac2df48d, 0x0002ddf350659e21,
+                      0x00a279a69eb19cb3, 0x00f844eab25cba44)}, {
+    FIELD_LITERAL(0x00c41d1f9c1f1ac1, 0x007b2df4e9f19146,
+                      0x00b469355fd5ba7a, 0x00b5e1965afc852a,
+                      0x00388d5f1e2d8217, 0x0022079e4c09ae93,
+                      0x0014268acd4ef518, 0x00c1dd8d9640464c)}, {
+    FIELD_LITERAL(0x0038526adeed0c55, 0x00dd68c607e3fe85,
+                      0x00f746ddd48a5d57, 0x0042f2952b963b7c,
+                      0x001cbbd6876d5ec2, 0x005e341470bca5c2,
+                      0x00871d41e085f413, 0x00e53ab098f45732)}, {
+    FIELD_LITERAL(0x004d51124797c831, 0x008f5ae3750347ad,
+                      0x0070ced94c1a0c8e, 0x00f6db2043898e64,
+                      0x000d00c9a5750cd0, 0x000741ec59bad712,
+                      0x003c9d11aab37b7f, 0x00a67ba169807714)}, {
+    FIELD_LITERAL(0x00adb2c1566e8b8f, 0x0096c68a35771a9a,
+                      0x00869933356f334a, 0x00ba9c93459f5962,
+                      0x009ec73fb6e8ca4b, 0x003c3802c27202e1,
+                      0x0031f5b733e0c008, 0x00f9058c19611fa9)}, {
+    FIELD_LITERAL(0x00238f01814a3421, 0x00c325a44b6cce28,
+                      0x002136f97aeb0e73, 0x000cac8268a4afe2,
+                      0x0022fd218da471b3, 0x009dcd8dfff8def9,
+                      0x00cb9f8181d999bb, 0x00143ae56edea349)}, {
+    FIELD_LITERAL(0x0000623bf87622c5, 0x00a1966fdd069496,
+                      0x00c315b7b812f9fc, 0x00bdf5efcd128b97,
+                      0x001d464f532e3e16, 0x003cd94f081bfd7e,
+                      0x00ed9dae12ce4009, 0x002756f5736eee70)}, {
+    FIELD_LITERAL(0x00a5187e6ee7341b, 0x00e6d52e82d83b6e,
+                      0x00df3c41323094a7, 0x00b3324f444e9de9,
+                      0x00689eb21a35bfe5, 0x00f16363becd548d,
+                      0x00e187cc98e7f60f, 0x00127d9062f0ccab)}, {
+    FIELD_LITERAL(0x004ad71b31c29e40, 0x00a5fcace12fae29,
+                      0x004425b5597280ed, 0x00e7ef5d716c3346,
+                      0x0010b53ada410ac8, 0x0092310226060c9b,
+                      0x0091c26128729c7e, 0x0088b42900f8ec3b)}, {
+    FIELD_LITERAL(0x00f1e26e9762d4a8, 0x00d9d74082183414,
+                      0x00ffec9bd57a0282, 0x000919e128fd497a,
+                      0x00ab7ae7d00fe5f8, 0x0054dc442851ff68,
+                      0x00c9ebeb3b861687, 0x00507f7cab8b698f)}, {
+    FIELD_LITERAL(0x00c13c5aae3ae341, 0x009c6c9ed98373e7,
+                      0x00098f26864577a8, 0x0015b886e9488b45,
+                      0x0037692c42aadba5, 0x00b83170b8e7791c,
+                      0x001670952ece1b44, 0x00fd932a39276da2)}, {
+    FIELD_LITERAL(0x0081a3259bef3398, 0x005480fff416107b,
+                      0x00ce4f607d21be98, 0x003ffc084b41df9b,
+                      0x0043d0bb100502d1, 0x00ec35f575ba3261,
+                      0x00ca18f677300ef3, 0x00e8bb0a827d8548)}, {
+    FIELD_LITERAL(0x00df76b3328ada72, 0x002e20621604a7c2,
+                      0x00f910638a105b09, 0x00ef4724d96ef2cd,
+                      0x00377d83d6b8a2f7, 0x00b4f48805ade324,
+                      0x001cd5da8b152018, 0x0045af671a20ca7f)}, {
+    FIELD_LITERAL(0x009ae3b93a56c404, 0x004a410b7a456699,
+                      0x00023a619355e6b2, 0x009cdc7297387257,
+                      0x0055b94d4ae70d04, 0x002cbd607f65b005,
+                      0x003208b489697166, 0x00ea2aa058867370)}, {
+    FIELD_LITERAL(0x00f29d2598ee3f32, 0x00b4ac5385d82adc,
+                      0x007633eaf04df19b, 0x00aa2d3d77ceab01,
+                      0x004a2302fcbb778a, 0x00927f225d5afa34,
+                      0x004a8e9d5047f237, 0x008224ae9dbce530)}, {
+    FIELD_LITERAL(0x001cf640859b02f8, 0x00758d1d5d5ce427,
+                      0x00763c784ef4604c, 0x005fa81aee205270,
+                      0x00ac537bfdfc44cb, 0x004b919bd342d670,
+                      0x00238508d9bf4b7a, 0x00154888795644f3)}, {
+    FIELD_LITERAL(0x00c845923c084294, 0x00072419a201bc25,
+                      0x0045f408b5f8e669, 0x00e9d6a186b74dfe,
+                      0x00e19108c68fa075, 0x0017b91d874177b7,
+                      0x002f0ca2c7912c5a, 0x009400aa385a90a2)}, {
+    FIELD_LITERAL(0x0071110b01482184, 0x00cfed0044f2bef8,
+                      0x0034f2901cf4662e, 0x003b4ae2a67f9834,
+                      0x00cca9b96fe94810, 0x00522507ae77abd0,
+                      0x00bac7422721e73e, 0x0066622b0f3a62b0)}, {
+    FIELD_LITERAL(0x00f8ac5cf4705b6a, 0x00867d82dcb457e3,
+                      0x007e13ab2ccc2ce9, 0x009ee9a018d3930e,
+                      0x008370f8ecb42df8, 0x002d9f019add263e,
+                      0x003302385b92d196, 0x00a15654536e2c0c)}, {
+    FIELD_LITERAL(0x0026ef1614e160af, 0x00c023f9edfc9c76,
+                      0x00cff090da5f57ba, 0x0076db7a66643ae9,
+                      0x0019462f8c646999, 0x008fec00b3854b22,
+                      0x00d55041692a0a1c, 0x0065db894215ca00)}, {
+    FIELD_LITERAL(0x00a925036e0a451c, 0x002a0390c36b6cc1,
+                      0x00f27020d90894f4, 0x008d90d52cbd3d7f,
+                      0x00e1d0137392f3b8, 0x00f017c158b51a8f,
+                      0x00cac313d3ed7dbc, 0x00b99a81e3eb42d3)}, {
+    FIELD_LITERAL(0x00b54850275fe626, 0x0053a3fd1ec71140,
+                      0x00e3d2d7dbe096fa, 0x00e4ac7b595cce4c,
+                      0x0077bad449c0a494, 0x00b7c98814afd5b3,
+                      0x0057226f58486cf9, 0x00b1557154f0cc57)}, {
+    FIELD_LITERAL(0x008cc9cd236315c0, 0x0031d9c5b39fda54,
+                      0x00a5713ef37e1171, 0x00293d5ae2886325,
+                      0x00c4aba3e05015e1, 0x0003f35ef78e4fc6,
+                      0x0039d6bd3ac1527b, 0x0019d7c3afb77106)}, {
+    FIELD_LITERAL(0x007b162931a985af, 0x00ad40a2e0daa713,
+                      0x006df27c4009f118, 0x00503e9f4e2e8bec,
+                      0x00751a77c82c182d, 0x000298937769245b,
+                      0x00ffb1e8fabf9ee5, 0x0008334706e09abe)}, {
+    FIELD_LITERAL(0x00dbca4e98a7dcd9, 0x00ee29cfc78bde99,
+                      0x00e4a3b6995f52e9, 0x0045d70189ae8096,
+                      0x00fd2a8a3b9b0d1b, 0x00af1793b107d8e1,
+                      0x00dbf92cbe4afa20, 0x00da60f798e3681d)}, {
+    FIELD_LITERAL(0x004246bfcecc627a, 0x004ba431246c03a4,
+                      0x00bd1d101872d497, 0x003b73d3f185ee16,
+                      0x001feb2e2678c0e3, 0x00ff13c5a89dec76,
+                      0x00ed06042e771d8f, 0x00a4fd2a897a83dd)}, {
+    FIELD_LITERAL(0x009a4a3be50d6597, 0x00de3165fc5a1096,
+                      0x004f3f56e345b0c7, 0x00f7bf721d5ab8bc,
+                      0x004313e47b098c50, 0x00e4c7d5c0e1adbb,
+                      0x002e3e3db365051e, 0x00a480c2cd6a96fb)}, {
+    FIELD_LITERAL(0x00417fa30a7119ed, 0x00af257758419751,
+                      0x00d358a487b463d4, 0x0089703cc720b00d,
+                      0x00ce56314ff7f271, 0x0064db171ade62c1,
+                      0x00640b36d4a22fed, 0x00424eb88696d23f)}, {
+    FIELD_LITERAL(0x004ede34af2813f3, 0x00d4a8e11c9e8216,
+                      0x004796d5041de8a5, 0x00c4c6b4d21cc987,
+                      0x00e8a433ee07fa1e, 0x0055720b5abcc5a1,
+                      0x008873ea9c74b080, 0x005b3fec1ab65d48)}, {
+    FIELD_LITERAL(0x0047e5277db70ec5, 0x000a096c66db7d6b,
+                      0x00b4164cc1730159, 0x004a9f783fe720fe,
+                      0x00a8177b94449dbc, 0x0095a24ff49a599f,
+                      0x0069c1c578250cbc, 0x00452019213debf4)}, {
+    FIELD_LITERAL(0x0021ce99e09ebda3, 0x00fcbd9f91875ad0,
+                      0x009bbf6b7b7a0b5f, 0x00388886a69b1940,
+                      0x00926a56d0f81f12, 0x00e12903c3358d46,
+                      0x005dfce4e8e1ce9d, 0x0044cfa94e2f7e23)}, {
+    FIELD_LITERAL(0x001bd59c09e982ea, 0x00f72daeb937b289,
+                      0x0018b76dca908e0e, 0x00edb498512384ad,
+                      0x00ce0243b6cc9538, 0x00f96ff690cb4e70,
+                      0x007c77bf9f673c8d, 0x005bf704c088a528)}, {
+    FIELD_LITERAL(0x0093d4628dcb33be, 0x0095263d51d42582,
+                      0x0049b3222458fe06, 0x00e7fce73b653a7f,
+                      0x003ca2ebce60b369, 0x00c5de239a32bea4,
+                      0x0063b8b3d71fb6bf, 0x0039aeeb78a1a839)}, {
+    FIELD_LITERAL(0x007dc52da400336c, 0x001fded1e15b9457,
+                      0x00902e00f5568e3a, 0x00219bef40456d2d,
+                      0x005684161fb3dbc9, 0x004a4e9be49a76ea,
+                      0x006e685ae88b78ff, 0x0021c42f13042d3c)}, {
+    FIELD_LITERAL(0x00fb22bb5fd3ce50, 0x0017b48aada7ae54,
+                      0x00fd5c44ad19a536, 0x000ccc4e4e55e45c,
+                      0x00fd637d45b4c3f5, 0x0038914e023c37cf,
+                      0x00ac1881d6a8d898, 0x00611ed8d3d943a8)}, {
+    FIELD_LITERAL(0x0056e2259d113d2b, 0x00594819b284ec16,
+                      0x00c7bf794bb36696, 0x00721ee75097cdc6,
+                      0x00f71be9047a2892, 0x00df6ba142564edf,
+                      0x0069580b7a184e8d, 0x00f056e38fca0fee)}, {
+    FIELD_LITERAL(0x009df98566a18c6d, 0x00cf3a200968f219,
+                      0x0044ba60da6d9086, 0x00dbc9c0e344da03,
+                      0x000f9401c4466855, 0x00d46a57c5b0a8d1,
+                      0x00875a635d7ac7c6, 0x00ef4a933b7e0ae6)}, {
+    FIELD_LITERAL(0x005e8694077a1535, 0x008bef75f71c8f1d,
+                      0x000a7c1316423511, 0x00906e1d70604320,
+                      0x003fc46c1a2ffbd6, 0x00d1d5022e68f360,
+                      0x002515fba37bbf46, 0x00ca16234e023b44)}, {
+    FIELD_LITERAL(0x00787c99561f4690, 0x00a857a8c1561f27,
+                      0x00a10df9223c09fe, 0x00b98a9562e3b154,
+                      0x004330b8744c3ed2, 0x00e06812807ec5c4,
+                      0x00e4cf6a7db9f1e3, 0x00d95b089f132a34)}, {
+    FIELD_LITERAL(0x002922b39ca33eec, 0x0090d12a5f3ab194,
+                      0x00ab60c02fb5f8ed, 0x00188d292abba1cf,
+                      0x00e10edec9698f6e, 0x0069a4d9934133c8,
+                      0x0024aac40e6d3d06, 0x001702c2177661b0)}, {
+    FIELD_LITERAL(0x00139078397030bd, 0x000e3c447e859a00,
+                      0x0064a5b334c82393, 0x00b8aabeb7358093,
+                      0x00020778bb9ae73b, 0x0032ee94c7892a18,
+                      0x008215253cb41bda, 0x005e2797593517ae)}, {
+    FIELD_LITERAL(0x0083765a5f855d4a, 0x0051b6d1351b8ee2,
+                      0x00116de548b0f7bb, 0x0087bd88703affa0,
+                      0x0095b2cc34d7fdd2, 0x0084cd81b53f0bc8,
+                      0x008562fc995350ed, 0x00a39abb193651e3)}, {
+    FIELD_LITERAL(0x0019e23f0474b114, 0x00eb94c2ad3b437e,
+                      0x006ddb34683b75ac, 0x00391f9209b564c6,
+                      0x00083b3bb3bff7aa, 0x00eedcd0f6dceefc,
+                      0x00b50817f794fe01, 0x0036474deaaa75c9)}, {
+    FIELD_LITERAL(0x0091868594265aa2, 0x00797accae98ca6d,
+                      0x0008d8c5f0f8a184, 0x00d1f4f1c2b2fe6e,
+                      0x0036783dfb48a006, 0x008c165120503527,
+                      0x0025fd780058ce9b, 0x0068beb007be7d27)}, {
+    FIELD_LITERAL(0x00d0ff88aa7c90c2, 0x00b2c60dacf53394,
+                      0x0094a7284d9666d6, 0x00bed9022ce7a19d,
+                      0x00c51553f0cd7682, 0x00c3fb870b124992,
+                      0x008d0bc539956c9b, 0x00fc8cf258bb8885)}, {
+    FIELD_LITERAL(0x003667bf998406f8, 0x0000115c43a12975,
+                      0x001e662f3b20e8fd, 0x0019ffa534cb24eb,
+                      0x00016be0dc8efb45, 0x00ff76a8b26243f5,
+                      0x00ae20d241a541e3, 0x0069bd6af13cd430)}, {
+    FIELD_LITERAL(0x0045fdc16487cda3, 0x00b2d8e844cf2ed7,
+                      0x00612c50e88c1607, 0x00a08aabc66c1672,
+                      0x006031fdcbb24d97, 0x001b639525744b93,
+                      0x004409d62639ab17, 0x00a1853d0347ab1d)}, {
+    FIELD_LITERAL(0x0075a1a56ebf5c21, 0x00a3e72be9ac53ed,
+                      0x00efcde1629170c2, 0x0004225fe91ef535,
+                      0x0088049fc73dfda7, 0x004abc74857e1288,
+                      0x0024e2434657317c, 0x00d98cb3d3e5543c)}, {
+    FIELD_LITERAL(0x00b4b53eab6bdb19, 0x009b22d8b43711d0,
+                      0x00d948b9d961785d, 0x00cb167b6f279ead,
+                      0x00191de3a678e1c9, 0x00d9dd9511095c2e,
+                      0x00f284324cd43067, 0x00ed74fa535151dd)}, {
+    FIELD_LITERAL(0x007e32c049b5c477, 0x009d2bfdbd9bcfd8,
+                      0x00636e93045938c6, 0x007fde4af7687298,
+                      0x0046a5184fafa5d3, 0x0079b1e7f13a359b,
+                      0x00875adf1fb927d6, 0x00333e21c61bcad2)}, {
+    FIELD_LITERAL(0x00048014f73d8b8d, 0x0075684aa0966388,
+                      0x0092be7df06dc47c, 0x0097cebcd0f5568a,
+                      0x005a7004d9c4c6a9, 0x00b0ecbb659924c7,
+                      0x00d90332dd492a7c, 0x0057fc14df11493d)}, {
+    FIELD_LITERAL(0x0008ed8ea0ad95be, 0x0041d324b9709645,
+                      0x00e25412257a19b4, 0x0058df9f3423d8d2,
+                      0x00a9ab20def71304, 0x009ae0dbf8ac4a81,
+                      0x00c9565977e4392a, 0x003c9269444baf55)}, {
+    FIELD_LITERAL(0x007df6cbb926830b, 0x00d336058ae37865,
+                      0x007af47dac696423, 0x0048d3011ec64ac8,
+                      0x006b87666e40049f, 0x0036a2e0e51303d7,
+                      0x00ba319bd79dbc55, 0x003e2737ecc94f53)}, {
+    FIELD_LITERAL(0x00d296ff726272d9, 0x00f6d097928fcf57,
+                      0x00e0e616a55d7013, 0x00deaf454ed9eac7,
+                      0x0073a56bedef4d92, 0x006ccfdf6fc92e19,
+                      0x009d1ee1371a7218, 0x00ee3c2ee4462d80)}, {
+    FIELD_LITERAL(0x00437bce9bccdf9d, 0x00e0c8e2f85dc0a3,
+                      0x00c91a7073995a19, 0x00856ec9fe294559,
+                      0x009e4b33394b156e, 0x00e245b0dc497e5c,
+                      0x006a54e687eeaeff, 0x00f1cd1cd00fdb7c)}, {
+    FIELD_LITERAL(0x008132ae5c5d8cd1, 0x00121d68324a1d9f,
+                      0x00d6be9dafcb8c76, 0x00684d9070edf745,
+                      0x00519fbc96d7448e, 0x00388182fdc1f27e,
+                      0x000235baed41f158, 0x00bf6cf6f1a1796a)}, {
+    FIELD_LITERAL(0x002adc4b4d148219, 0x003084ada0d3a90a,
+                      0x0046de8aab0f2e4e, 0x00452d342a67b5fd,
+                      0x00d4b50f01d4de21, 0x00db6d9fc0cefb79,
+                      0x008c184c86a462cd, 0x00e17c83764d42da)}, {
+    FIELD_LITERAL(0x007b2743b9a1e01a, 0x007847ffd42688c4,
+                      0x006c7844d610a316, 0x00f0cb8b250aa4b0,
+                      0x00a19060143b3ae6, 0x0014eb10b77cfd80,
+                      0x000170905729dd06, 0x00063b5b9cd72477)}, {
+    FIELD_LITERAL(0x00ce382dc7993d92, 0x00021153e938b4c8,
+                      0x00096f7567f48f51, 0x0058f81ddfe4b0d5,
+                      0x00cc379a56b355c7, 0x002c760770d3e819,
+                      0x00ee22d1d26e5a40, 0x00de6d93d5b082d7)}, {
+    FIELD_LITERAL(0x000a91a42c52e056, 0x00185f6b77fce7ea,
+                      0x000803c51962f6b5, 0x0022528582ba563d,
+                      0x0043f8040e9856d6, 0x0085a29ec81fb860,
+                      0x005f9a611549f5ff, 0x00c1f974ecbd4b06)}, {
+    FIELD_LITERAL(0x005b64c6fd65ec97, 0x00c1fdd7f877bc7f,
+                      0x000d9cc6c89f841c, 0x005c97b7f1aff9ad,
+                      0x0075e3c61475d47e, 0x001ecb1ba8153011,
+                      0x00fe7f1c8d71d40d, 0x003fa9757a229832)}, {
+    FIELD_LITERAL(0x00ffc5c89d2b0cba, 0x00d363d42e3e6fc3,
+                      0x0019a1a0118e2e8a, 0x00f7baeff48882e1,
+                      0x001bd5af28c6b514, 0x0055476ca2253cb2,
+                      0x00d8eb1977e2ddf3, 0x00b173b1adb228a1)}, {
+    FIELD_LITERAL(0x00f2cb99dd0ad707, 0x00e1e08b6859ddd8,
+                      0x000008f2d0650bcc, 0x00d7ed392f8615c3,
+                      0x00976750a94da27f, 0x003e83bb0ecb69ba,
+                      0x00df8e8d15c14ac6, 0x00f9f7174295d9c2)}, {
+    FIELD_LITERAL(0x00f11cc8e0e70bcb, 0x00e5dc689974e7dd,
+                      0x0014e409f9ee5870, 0x00826e6689acbd63,
+                      0x008a6f4e3d895d88, 0x00b26a8da41fd4ad,
+                      0x000fb7723f83efd7, 0x009c749db0a5f6c3)}, {
+    FIELD_LITERAL(0x002389319450f9ba, 0x003677f31aa1250a,
+                      0x0092c3db642f38cb, 0x00f8b64c0dfc9773,
+                      0x00cd49fe3505b795, 0x0068105a4090a510,
+                      0x00df0ba2072a8bb6, 0x00eb396143afd8be)}, {
+    FIELD_LITERAL(0x00a0d4ecfb24cdff, 0x00ddaf8008ba6479,
+                      0x00f0b3e36d4b0f44, 0x003734bd3af1f146,
+                      0x00b87e2efc75527e, 0x00d230df55ddab50,
+                      0x002613257ae56c1d, 0x00bc0946d135934d)}, {
+    FIELD_LITERAL(0x00468711bd994651, 0x0033108fa67561bf,
+                      0x0089d760192a54b4, 0x00adc433de9f1871,
+                      0x000467d05f36e050, 0x007847e0f0579f7f,
+                      0x00a2314ad320052d, 0x00b3a93649f0b243)}, {
+    FIELD_LITERAL(0x0067f8f0c4fe26c9, 0x0079c4a3cc8f67b9,
+                      0x0082b1e62f23550d, 0x00f2d409caefd7f5,
+                      0x0080e67dcdb26e81, 0x0087ae993ea1f98a,
+                      0x00aa108becf61d03, 0x001acf11efb608a3)}, {
+    FIELD_LITERAL(0x008225febbab50d9, 0x00f3b605e4dd2083,
+                      0x00a32b28189e23d2, 0x00d507e5e5eb4c97,
+                      0x005a1a84e302821f, 0x0006f54c1c5f08c7,
+                      0x00a347c8cb2843f0, 0x0009f73e9544bfa5)}, {
+    FIELD_LITERAL(0x006c59c9ae744185, 0x009fc32f1b4282cd,
+                      0x004d6348ca59b1ac, 0x00105376881be067,
+                      0x00af4096013147dc, 0x004abfb5a5cb3124,
+                      0x000d2a7f8626c354, 0x009c6ed568e07431)}, {
+    FIELD_LITERAL(0x00e828333c297f8b, 0x009ef3cf8c3f7e1f,
+                      0x00ab45f8fff31cb9, 0x00c8b4178cb0b013,
+                      0x00d0c50dd3260a3f, 0x0097126ac257f5bc,
+                      0x0042376cc90c705a, 0x001d96fdb4a1071e)}, {
+    FIELD_LITERAL(0x00542d44d89ee1a8, 0x00306642e0442d98,
+                      0x0090853872b87338, 0x002362cbf22dc044,
+                      0x002c222adff663b8, 0x0067c924495fcb79,
+                      0x000e621d983c977c, 0x00df77a9eccb66fb)}, {
+    FIELD_LITERAL(0x002809e4bbf1814a, 0x00b9e854f9fafb32,
+                      0x00d35e67c10f7a67, 0x008f1bcb76e748cf,
+                      0x004224d9515687d2, 0x005ba0b774e620c4,
+                      0x00b5e57db5d54119, 0x00e15babe5683282)}, {
+    FIELD_LITERAL(0x00832d02369b482c, 0x00cba52ff0d93450,
+                      0x003fa9c908d554db, 0x008d1e357b54122f,
+                      0x00abd91c2dc950c6, 0x007eff1df4c0ec69,
+                      0x003f6aeb13fb2d31, 0x00002d6179fc5b2c)}, {
+    FIELD_LITERAL(0x0046c9eda81c9c89, 0x00b60cb71c8f62fc,
+                      0x0022f5a683baa558, 0x00f87319fccdf997,
+                      0x009ca09b51ce6a22, 0x005b12baf4af7d77,
+                      0x008a46524a1e33e2, 0x00035a77e988be0d)}, {
+    FIELD_LITERAL(0x00a7efe46a7dbe2f, 0x002f66fd55014fe7,
+                      0x006a428afa1ff026, 0x0056caaa9604ab72,
+                      0x0033f3bcd7fac8ae, 0x00ccb1aa01c86764,
+                      0x00158d1edf13bf40, 0x009848ee76fcf3b4)}, {
+    FIELD_LITERAL(0x00a9e7730a819691, 0x00d9cc73c4992b70,
+                      0x00e299bde067de5a, 0x008c314eb705192a,
+                      0x00e7226f17e8a3cc, 0x0029dfd956e65a47,
+                      0x0053a8e839073b12, 0x006f942b2ab1597e)}, {
+    FIELD_LITERAL(0x001c3d780ecd5e39, 0x0094f247fbdcc5fe,
+                      0x00d5c786fd527764, 0x00b6f4da74f0db2a,
+                      0x0080f1f8badcd5fc, 0x00f36a373ad2e23b,
+                      0x00f804f9f4343bf2, 0x00d1af40ec623982)}, {
+    FIELD_LITERAL(0x0082aeace5f1b144, 0x00f68b3108cf4dd3,
+                      0x00634af01dde3020, 0x000beab5df5c2355,
+                      0x00e8b790d1b49b0b, 0x00e48d15854e36f4,
+                      0x0040ab2d95f3db9f, 0x002711c4ed9e899a)}, {
+    FIELD_LITERAL(0x0039343746531ebe, 0x00c8509d835d429d,
+                      0x00e79eceff6b0018, 0x004abfd31e8efce5,
+                      0x007bbfaaa1e20210, 0x00e3be89c193e179,
+                      0x001c420f4c31d585, 0x00f414a315bef5ae)}, {
+    FIELD_LITERAL(0x007c296a24990df8, 0x00d5d07525a75588,
+                      0x00dd8e113e94b7e7, 0x007bbc58febe0cc8,
+                      0x0029f51af9bfcad3, 0x007e9311ec7ab6f3,
+                      0x009a884de1676343, 0x0050d5f2dce84be9)}, {
+    FIELD_LITERAL(0x005fa020cca2450a, 0x00491c29db6416d8,
+                      0x0037cefe3f9f9a85, 0x003d405230647066,
+                      0x0049e835f0fdbe89, 0x00feb78ac1a0815c,
+                      0x00828e4b32dc9724, 0x00db84f2dc8d6fd4)}, {
+    FIELD_LITERAL(0x0098cddc8b39549a, 0x006da37e3b05d22c,
+                      0x00ce633cfd4eb3cb, 0x00fda288ef526acd,
+                      0x0025338878c5d30a, 0x00f34438c4e5a1b4,
+                      0x00584efea7c310f1, 0x0041a551f1b660ad)}, {
+    FIELD_LITERAL(0x00d7f7a8fbd6437a, 0x0062872413bf3753,
+                      0x00ad4bbcb43c584b, 0x007fe49be601d7e3,
+                      0x0077c659789babf4, 0x00eb45fcb06a741b,
+                      0x005ce244913f9708, 0x0088426401736326)}, {
+    FIELD_LITERAL(0x007bf562ca768d7c, 0x006c1f3a174e387c,
+                      0x00f024b447fee939, 0x007e7af75f01143f,
+                      0x003adb70b4eed89d, 0x00e43544021ad79a,
+                      0x0091f7f7042011f6, 0x0093c1a1ee3a0ddc)}, {
+    FIELD_LITERAL(0x00a0b68ec1eb72d2, 0x002c03235c0d45a0,
+                      0x00553627323fe8c5, 0x006186e94b17af94,
+                      0x00a9906196e29f14, 0x0025b3aee6567733,
+                      0x007e0dd840080517, 0x0018eb5801a4ba93)}, {
+    FIELD_LITERAL(0x00d7fe7017bf6a40, 0x006e3f0624be0c42,
+                      0x00ffbba205358245, 0x00f9fc2cf8194239,
+                      0x008d93b37bf15b4e, 0x006ddf2e38be8e95,
+                      0x002b6e79bf5fcff9, 0x00ab355da425e2de)}, {
+    FIELD_LITERAL(0x00938f97e20be973, 0x0099141a36aaf306,
+                      0x0057b0ca29e545a1, 0x0085db571f9fbc13,
+                      0x008b333c554b4693, 0x0043ab6ef3e241cb,
+                      0x0054fb20aa1e5c70, 0x00be0ff852760adf)}, {
+    FIELD_LITERAL(0x003973d8938971d6, 0x002aca26fa80c1f5,
+                      0x00108af1faa6b513, 0x00daae275d7924e6,
+                      0x0053634ced721308, 0x00d2355fe0bbd443,
+                      0x00357612b2d22095, 0x00f9bb9dd4136cf3)}, {
+    FIELD_LITERAL(0x002bff12cf5e03a5, 0x001bdb1fa8a19cf8,
+                      0x00c91c6793f84d39, 0x00f869f1b2eba9af,
+                      0x0059bc547dc3236b, 0x00d91611d6d38689,
+                      0x00e062daaa2c0214, 0x00ed3c047cc2bc82)}, {
+    FIELD_LITERAL(0x000050d70c32b31a, 0x001939d576d437b3,
+                      0x00d709e598bf9fe6, 0x00a885b34bd2ee9e,
+                      0x00dd4b5c08ab1a50, 0x0091bebd50b55639,
+                      0x00cf79ff64acdbc6, 0x006067a39d826336)}, {
+    FIELD_LITERAL(0x0062dd0fb31be374, 0x00fcc96b84c8e727,
+                      0x003f64f1375e6ae3, 0x0057d9b6dd1af004,
+                      0x00d6a167b1103c7b, 0x00dd28f3180fb537,
+                      0x004ff27ad7167128, 0x008934c33461f2ac)}, {
+    FIELD_LITERAL(0x0065b472b7900043, 0x00ba7efd2ff1064b,
+                      0x000b67d6c4c3020f, 0x0012d28469f4e46d,
+                      0x0031c32939703ec7, 0x00b49f0bce133066,
+                      0x00f7e10416181d47, 0x005c90f51867eecc)}, {
+    FIELD_LITERAL(0x0051207abd179101, 0x00fc2a5c20d9c5da,
+                      0x00fb9d5f2701b6df, 0x002dd040fdea82b8,
+                      0x00f163b0738442ff, 0x00d9736bd68855b8,
+                      0x00e0d8e93005e61c, 0x00df5a40b3988570)}, {
+    FIELD_LITERAL(0x0006918f5dfce6dc, 0x00d4bf1c793c57fb,
+                      0x0069a3f649435364, 0x00e89a50e5b0cd6e,
+                      0x00b9f6a237e973af, 0x006d4ed8b104e41d,
+                      0x00498946a3924cd2, 0x00c136ec5ac9d4f7)}, {
+    FIELD_LITERAL(0x0011a9c290ac5336, 0x002b9a2d4a6a6533,
+                      0x009a8a68c445d937, 0x00361b27b07e5e5c,
+                      0x003c043b1755b974, 0x00b7eb66cf1155ee,
+                      0x0077af5909eefff2, 0x0098f609877cc806)}, {
+    FIELD_LITERAL(0x00ab13af436bf8f4, 0x000bcf0a0dac8574,
+                      0x00d50c864f705045, 0x00c40e611debc842,
+                      0x0085010489bd5caa, 0x007c5050acec026f,
+                      0x00f67d943c8da6d1, 0x00de1da0278074c6)}, {
+    FIELD_LITERAL(0x00b373076597455f, 0x00e83f1af53ac0f5,
+                      0x0041f63c01dc6840, 0x0097dea19b0c6f4b,
+                      0x007f9d63b4c1572c, 0x00e692d492d0f5f0,
+                      0x00cbcb392e83b4ad, 0x0069c0f39ed9b1a8)}, {
+    FIELD_LITERAL(0x00861030012707c9, 0x009fbbdc7fd4aafb,
+                      0x008f591d6b554822, 0x00df08a41ea18ade,
+                      0x009d7d83e642abea, 0x0098c71bda3b78ff,
+                      0x0022c89e7021f005, 0x0044d29a3fe1e3c4)}, {
+    FIELD_LITERAL(0x00e748cd7b5c52f2, 0x00ea9df883f89cc3,
+                      0x0018970df156b6c7, 0x00c5a46c2a33a847,
+                      0x00cbde395e32aa09, 0x0072474ebb423140,
+                      0x00fb00053086a23d, 0x001dafcfe22d4e1f)}, {
+    FIELD_LITERAL(0x00c903ee6d825540, 0x00add6c4cf98473e,
+                      0x007636efed4227f1, 0x00905124ae55e772,
+                      0x00e6b38fab12ed53, 0x0045e132b863fe55,
+                      0x003974662edb366a, 0x00b1787052be8208)}, {
+    FIELD_LITERAL(0x00a614b00d775c7c, 0x00d7c78941cc7754,
+                      0x00422dd68b5dabc4, 0x00a6110f0167d28b,
+                      0x00685a309c252886, 0x00b439ffd5143660,
+                      0x003656e29ee7396f, 0x00c7c9b9ed5ad854)}, {
+    FIELD_LITERAL(0x0040f7e7c5b37bf2, 0x0064e4dc81181bba,
+                      0x00a8767ae2a366b6, 0x001496b4f90546f2,
+                      0x002a28493f860441, 0x0021f59513049a3a,
+                      0x00852d369a8b7ee3, 0x00dd2e7d8b7d30a9)}, {
+    FIELD_LITERAL(0x00006e34a35d9fbc, 0x00eee4e48b2f019a,
+                      0x006b344743003a5f, 0x00541d514f04a7e3,
+                      0x00e81f9ee7647455, 0x005e2b916c438f81,
+                      0x00116f8137b7eff0, 0x009bd3decc7039d1)}, {
+    FIELD_LITERAL(0x0005d226f434110d, 0x00af8288b8ef21d5,
+                      0x004a7a52ef181c8c, 0x00be0b781b4b06de,
+                      0x00e6e3627ded07e1, 0x00e43aa342272b8b,
+                      0x00e86ab424577d84, 0x00fb292c566e35bb)}, {
+    FIELD_LITERAL(0x00334f5303ea1222, 0x00dfb3dbeb0a5d3e,
+                      0x002940d9592335c1, 0x00706a7a63e8938a,
+                      0x005a533558bc4caf, 0x00558e33192022a9,
+                      0x00970d9faf74c133, 0x002979fcb63493ca)}, {
+    FIELD_LITERAL(0x00e38abece3c82ab, 0x005a51f18a2c7a86,
+                      0x009dafa2e86d592e, 0x00495a62eb688678,
+                      0x00b79df74c0eb212, 0x0023e8cc78b75982,
+                      0x005998cb91075e13, 0x00735aa9ba61bc76)}, {
+    FIELD_LITERAL(0x00d9f7a82ddbe628, 0x00a1fc782889ae0f,
+                      0x0071ffda12d14b66, 0x0037cf4eca7fb3d5,
+                      0x00c80bc242c58808, 0x0075bf8c2d08c863,
+                      0x008d41f31afc52a7, 0x00197962ecf38741)}, {
+    FIELD_LITERAL(0x006e9f475cccf2ee, 0x00454b9cd506430c,
+                      0x00224a4fb79ee479, 0x0062e3347ef0b5e2,
+                      0x0034fd2a3512232a, 0x00b8b3cb0f457046,
+                      0x00eb20165daa38ec, 0x00128eebc2d9c0f7)}, {
+    FIELD_LITERAL(0x00bfc5fa1e4ea21f, 0x00c21d7b6bb892e6,
+                      0x00cf043f3acf0291, 0x00c13f2f849b3c90,
+                      0x00d1a97ebef10891, 0x0061e130a445e7fe,
+                      0x0019513fdedbf22b, 0x001d60c813bff841)}, {
+    FIELD_LITERAL(0x0019561c7fcf0213, 0x00e3dca6843ebd77,
+                      0x0068ea95b9ca920e, 0x009bdfb70f253595,
+                      0x00c68f59186aa02a, 0x005aee1cca1c3039,
+                      0x00ab79a8a937a1ce, 0x00b9a0e549959e6f)}, {
+    FIELD_LITERAL(0x00c79e0b6d97dfbd, 0x00917c71fd2bc6e8,
+                      0x00db7529ccfb63d8, 0x00be5be957f17866,
+                      0x00a9e11fdc2cdac1, 0x007b91a8e1f44443,
+                      0x00a3065e4057d80f, 0x004825f5b8d5f6d4)}, {
+    FIELD_LITERAL(0x003e4964fa8a8fc8, 0x00f6a1cdbcf41689,
+                      0x00943cb18fe7fda7, 0x00606dafbf34440a,
+                      0x005d37a86399c789, 0x00e79a2a69417403,
+                      0x00fe34f7e68b8866, 0x0011f448ed2df10e)}, {
+    FIELD_LITERAL(0x00f1f57efcc1fcc4, 0x00513679117de154,
+                      0x002e5b5b7c86d8c3, 0x009f6486561f9cfb,
+                      0x00169e74b0170cf7, 0x00900205af4af696,
+                      0x006acfddb77853f3, 0x00df184c90f31068)}, {
+    FIELD_LITERAL(0x00b37396c3320791, 0x00fc7b67175c5783,
+                      0x00c36d2cd73ecc38, 0x0080ebcc0b328fc5,
+                      0x0043a5b22b35d35d, 0x00466c9f1713c9da,
+                      0x0026ad346dcaa8da, 0x007c684e701183a6)}, {
+    FIELD_LITERAL(0x00fd579ffb691713, 0x00b76af4f81c412d,
+                      0x00f239de96110f82, 0x00e965fb437f0306,
+                      0x00ca7e9436900921, 0x00e487f1325fa24a,
+                      0x00633907de476380, 0x00721c62ac5b8ea0)}, {
+    FIELD_LITERAL(0x00c0d54e542eb4f9, 0x004ed657171c8dcf,
+                      0x00b743a4f7c2a39b, 0x00fd9f93ed6cc567,
+                      0x00307fae3113e58b, 0x0058aa577c93c319,
+                      0x00d254556f35b346, 0x00491aada2203f0d)}, {
+    FIELD_LITERAL(0x00dff3103786ff34, 0x000144553b1f20c3,
+                      0x0095613baeb930e4, 0x00098058275ea5d4,
+                      0x007cd1402b046756, 0x0074d74e4d58aee3,
+                      0x005f93fc343ff69b, 0x00873df17296b3b0)}, {
+    FIELD_LITERAL(0x00c4a1fb48635413, 0x00b5dd54423ad59f,
+                      0x009ff5d53fd24a88, 0x003c98d267fc06a7,
+                      0x002db7cb20013641, 0x00bd1d6716e191f2,
+                      0x006dbc8b29094241, 0x0044bbf233dafa2c)}, {
+    FIELD_LITERAL(0x0055838d41f531e6, 0x00bf6a2dd03c81b2,
+                      0x005827a061c4839e, 0x0000de2cbb36aac3,
+                      0x002efa29d9717478, 0x00f9e928cc8a77ba,
+                      0x00c134b458def9ef, 0x00958a182223fc48)}, {
+    FIELD_LITERAL(0x000a9ee23c06881f, 0x002c727d3d871945,
+                      0x00f47d971512d24a, 0x00671e816f9ef31a,
+                      0x00883af2cfaad673, 0x00601f98583d6c9a,
+                      0x00b435f5adc79655, 0x00ad87b71c04bff2)}, {
+    FIELD_LITERAL(0x007860d99db787cf, 0x00fda8983018f4a8,
+                      0x008c8866bac4743c, 0x00ef471f84c82a3f,
+                      0x00abea5976d3b8e7, 0x00714882896cd015,
+                      0x00b49fae584ddac5, 0x008e33a1a0b69c81)}, {
+    FIELD_LITERAL(0x007b6ee2c9e8a9ec, 0x002455dbbd89d622,
+                      0x006490cf4eaab038, 0x00d925f6c3081561,
+                      0x00153b3047de7382, 0x003b421f8bdceb6f,
+                      0x00761a4a5049da78, 0x00980348c5202433)}, {
+    FIELD_LITERAL(0x007f8a43da97dd5c, 0x00058539c800fc7b,
+                      0x0040f3cf5a28414a, 0x00d68dd0d95283d6,
+                      0x004adce9da90146e, 0x00befa41c7d4f908,
+                      0x007603bc2e3c3060, 0x00bdf360ab3545db)}, {
+    FIELD_LITERAL(0x00eebfd4e2312cc3, 0x00474b2564e4fc8c,
+                      0x003303ef14b1da9b, 0x003c93e0e66beb1d,
+                      0x0013619b0566925a, 0x008817c24d901bf3,
+                      0x00b62bd8898d218b, 0x0075a7716f1e88a2)}, {
+    FIELD_LITERAL(0x0009218da1e6890f, 0x0026907f5fd02575,
+                      0x004dabed5f19d605, 0x003abf181870249d,
+                      0x00b52fd048cc92c4, 0x00b6dd51e415a5c5,
+                      0x00d9eb82bd2b4014, 0x002c865a43b46b43)}, {
+    FIELD_LITERAL(0x0070047189452f4c, 0x00f7ad12e1ce78d5,
+                      0x00af1ba51ec44a8b, 0x005f39f63e667cd6,
+                      0x00058eac4648425e, 0x00d7fdab42bea03b,
+                      0x0028576a5688de15, 0x00af973209e77c10)}, {
+    FIELD_LITERAL(0x00c338b915d8fef0, 0x00a893292045c39a,
+                      0x0028ab4f2eba6887, 0x0060743cb519fd61,
+                      0x0006213964093ac0, 0x007c0b7a43f6266d,
+                      0x008e3557c4fa5bda, 0x002da976de7b8d9d)}, {
+    FIELD_LITERAL(0x0048729f8a8b6dcd, 0x00fe23b85cc4d323,
+                      0x00e7384d16e4db0e, 0x004a423970678942,
+                      0x00ec0b763345d4ba, 0x00c477b9f99ed721,
+                      0x00c29dad3777b230, 0x001c517b466f7df6)}, {
+    FIELD_LITERAL(0x006366c380f7b574, 0x001c7d1f09ff0438,
+                      0x003e20a7301f5b22, 0x00d3efb1916d28f6,
+                      0x0049f4f81060ce83, 0x00c69d91ea43ced1,
+                      0x002b6f3e5cd269ed, 0x005b0fb22ce9ec65)}, {
+    FIELD_LITERAL(0x00aa2261022d883f, 0x00ebcca4548010ac,
+                      0x002528512e28a437, 0x0070ca7676b66082,
+                      0x0084bda170f7c6d3, 0x00581b4747c9b8bb,
+                      0x005c96a01061c7e2, 0x00fb7c4a362b5273)}, {
+    FIELD_LITERAL(0x00c30020eb512d02, 0x0060f288283a4d26,
+                      0x00b7ed13becde260, 0x0075ebb74220f6e9,
+                      0x00701079fcfe8a1f, 0x001c28fcdff58938,
+                      0x002e4544b8f4df6b, 0x0060c5bc4f1a7d73)}, {
+    FIELD_LITERAL(0x00ae307cf069f701, 0x005859f222dd618b,
+                      0x00212d6c46ec0b0d, 0x00a0fe4642afb62d,
+                      0x00420d8e4a0a8903, 0x00a80ff639bdf7b0,
+                      0x0019bee1490b5d8e, 0x007439e4b9c27a86)}, {
+    FIELD_LITERAL(0x00a94700032a093f, 0x0076e96c225216e7,
+                      0x00a63a4316e45f91, 0x007d8bbb4645d3b2,
+                      0x00340a6ff22793eb, 0x006f935d4572aeb7,
+                      0x00b1fb69f00afa28, 0x009e8f3423161ed3)}, {
+    FIELD_LITERAL(0x009ef49c6b5ced17, 0x00a555e6269e9f0a,
+                      0x007e6f1d79ec73b5, 0x009ac78695a32ac4,
+                      0x0001d77fbbcd5682, 0x008cea1fee0aaeed,
+                      0x00f42bea82a53462, 0x002e46ab96cafcc9)}, {
+    FIELD_LITERAL(0x0051cfcc5885377a, 0x00dce566cb1803ca,
+                      0x00430c7643f2c7d4, 0x00dce1a1337bdcc0,
+                      0x0010d5bd7283c128, 0x003b1b547f9b46fe,
+                      0x000f245e37e770ab, 0x007b72511f022b37)}, {
+    FIELD_LITERAL(0x0060db815bc4786c, 0x006fab25beedc434,
+                      0x00c610d06084797c, 0x000c48f08537bec0,
+                      0x0031aba51c5b93da, 0x007968fa6e01f347,
+                      0x0030070da52840c6, 0x00c043c225a4837f)}, {
+    FIELD_LITERAL(0x001bcfd00649ee93, 0x006dceb47e2a0fd5,
+                      0x00f2cebda0cf8fd0, 0x00b6b9d9d1fbdec3,
+                      0x00815262e6490611, 0x00ef7f5ce3176760,
+                      0x00e49cd0c998d58b, 0x005fc6cc269ba57c)}, {
+    FIELD_LITERAL(0x008940211aa0d633, 0x00addae28136571d,
+                      0x00d68fdbba20d673, 0x003bc6129bc9e21a,
+                      0x000346cf184ebe9a, 0x0068774d741ebc7f,
+                      0x0019d5e9e6966557, 0x0003cbd7f981b651)}, {
+    FIELD_LITERAL(0x004a2902926f8d3f, 0x00ad79b42637ab75,
+                      0x0088f60b90f2d4e8, 0x0030f54ef0e398c4,
+                      0x00021dc9bf99681e, 0x007ebf66fde74ee3,
+                      0x004ade654386e9a4, 0x00e7485066be4c27)}, {
+    FIELD_LITERAL(0x00445f1263983be0, 0x004cf371dda45e6a,
+                      0x00744a89d5a310e7, 0x001f20ce4f904833,
+                      0x00e746edebe66e29, 0x000912ab1f6c153d,
+                      0x00f61d77d9b2444c, 0x0001499cd6647610)}
 };
+
 const gf curve448_precomputed_wnaf_as_fe[96]
-VECTOR_ALIGNED __attribute__((visibility("hidden"))) = {
-  {FIELD_LITERAL(0x00303cda6feea532,0x00860f1d5a3850e4,0x00226b9fa4728ccd,0x00e822938a0a0c0c,0x00263a61c9ea9216,0x001204029321b828,0x006a468360983c65,0x0002846f0a782143)},
-  {FIELD_LITERAL(0x00303cda6feea532,0x00860f1d5a3850e4,0x00226b9fa4728ccd,0x006822938a0a0c0c,0x00263a61c9ea9215,0x001204029321b828,0x006a468360983c65,0x0082846f0a782143)},
-  {FIELD_LITERAL(0x00ef8e22b275198d,0x00b0eb141a0b0e8b,0x001f6789da3cb38c,0x006d2ff8ed39073e,0x00610bdb69a167f3,0x00571f306c9689b4,0x00f557e6f84b2df8,0x002affd38b2c86db)},
-  {FIELD_LITERAL(0x00cea0fc8d2e88b5,0x00821612d69f1862,0x0074c283b3e67522,0x005a195ba05a876d,0x000cddfe557feea4,0x008046c795bcc5e5,0x00540969f4d6e119,0x00d27f96d6b143d5)},
-  {FIELD_LITERAL(0x000c3b1019d474e8,0x00e19533e4952284,0x00cc9810ba7c920a,0x00f103d2785945ac,0x00bfa5696cc69b34,0x00a8d3d51e9ca839,0x005623cb459586b9,0x00eae7ce1cd52e9e)},
-  {FIELD_LITERAL(0x0005a178751dd7d8,0x002cc3844c69c42f,0x00acbfe5efe10539,0x009c20f43431a65a,0x008435d96374a7b3,0x009ee57566877bd3,0x0044691725ed4757,0x001e87bb2fe2c6b2)},
-  {FIELD_LITERAL(0x000cedc4debf7a04,0x002ffa45000470ac,0x002e9f9678201915,0x0017da1208c4fe72,0x007d558cc7d656cb,0x0037a827287cf289,0x00142472d3441819,0x009c21f166cf8dd1)},
-  {FIELD_LITERAL(0x003ef83af164b2f2,0x000949a5a0525d0d,0x00f4498186cac051,0x00e77ac09ef126d2,0x0073ae0b2c9296e9,0x001c163f6922e3ed,0x0062946159321bea,0x00cfb79b22990b39)},
-  {FIELD_LITERAL(0x00b001431ca9e654,0x002d7e5eabcc9a3a,0x0052e8114c2f6747,0x0079ac4f94487f92,0x00bffd919b5d749c,0x00261f92ad15e620,0x00718397b7a97895,0x00c1443e6ebbc0c4)},
-  {FIELD_LITERAL(0x00eacd90c1e0a049,0x008977935b149fbe,0x0004cb9ba11c93dc,0x009fbd5b3470844d,0x004bc18c9bfc22cf,0x0057679a991839f3,0x00ef15b76fb4092e,0x0074a5173a225041)},
-  {FIELD_LITERAL(0x003f5f9d7ec4777b,0x00ab2e733c919c94,0x001bb6c035245ae5,0x00a325a49a883630,0x0033e9a9ea3cea2f,0x00e442a1eaa0e844,0x00b2116d5b0e71b8,0x00c16abed6d64047)},
-  {FIELD_LITERAL(0x00c560b5ed051165,0x001945adc5d65094,0x00e221865710f910,0x00cc12bc9e9b8ceb,0x004faa9518914e35,0x0017476d89d42f6d,0x00b8f637c8fa1c8b,0x0088c7d2790864b8)},
-  {FIELD_LITERAL(0x00ef7eafc1c69be6,0x0085d3855778fbea,0x002c8d5b450cb6f5,0x004e77de5e1e7fec,0x0047c057893abded,0x001b430b85d51e16,0x00965c7b45640c3c,0x00487b2bb1162b97)},
-  {FIELD_LITERAL(0x0099c73a311beec2,0x00a3eff38d8912ad,0x002efa9d1d7e8972,0x00f717ae1e14d126,0x002833f795850c8b,0x0066c12ad71486bd,0x00ae9889da4820eb,0x00d6044309555c08)},
-  {FIELD_LITERAL(0x004b1c5283d15e41,0x00669d8ea308ff75,0x0004390233f762a1,0x00e1d67b83cb6cec,0x003eebaa964c78b1,0x006b0aff965eb664,0x00b313d4470bdc37,0x008814ffcb3cb9d8)},
-  {FIELD_LITERAL(0x009724b8ce68db70,0x007678b5ed006f3d,0x00bdf4b89c0abd73,0x00299748e04c7c6d,0x00ddd86492c3c977,0x00c5a7febfa30a99,0x00ed84715b4b02bb,0x00319568adf70486)},
-  {FIELD_LITERAL(0x0070ff2d864de5bb,0x005a37eeb637ee95,0x0033741c258de160,0x00e6ca5cb1988f46,0x001ceabd92a24661,0x0030957bd500fe40,0x001c3362afe912c5,0x005187889f678bd2)},
-  {FIELD_LITERAL(0x0086835fc62bbdc7,0x009c3516ca4910a1,0x00956c71f8d00783,0x0095c78fcf63235f,0x00fc7ff6ba05c222,0x00cdd8b3f8d74a52,0x00ac5ae16de8256e,0x00e9d4be8ed48624)},
-  {FIELD_LITERAL(0x00c0ce11405df2d8,0x004e3f37b293d7b6,0x002410172e1ac6db,0x00b8dbff4bf8143d,0x003a7b409d56eb66,0x003e0f6a0dfef9af,0x0081c4e4d3645be1,0x00ce76076b127623)},
-  {FIELD_LITERAL(0x00f6ee0f98974239,0x0042d89af07d3a4f,0x00846b7fe84346b5,0x006a21fc6a8d39a1,0x00ac8bc2541ff2d9,0x006d4e2a77732732,0x009a39b694cc3f2f,0x0085c0aa2a404c8f)},
-  {FIELD_LITERAL(0x00b261101a218548,0x00c1cae96424277b,0x00869da0a77dd268,0x00bc0b09f8ec83ea,0x00d61027f8e82ba9,0x00aa4c85999dce67,0x00eac3132b9f3fe1,0x00fb9b0cf1c695d2)},
-  {FIELD_LITERAL(0x0043079295512f0d,0x0046a009861758e0,0x003ee2842a807378,0x0034cc9d1298e4fa,0x009744eb4d31b3ee,0x00afacec96650cd0,0x00ac891b313761ae,0x00e864d6d26e708a)},
-  {FIELD_LITERAL(0x00a84d7c8a23b491,0x0088e19aa868b27f,0x0005986d43e78ce9,0x00f28012f0606d28,0x0017ded7e10249b3,0x005ed4084b23af9b,0x00b9b0a940564472,0x00ad9056cceeb1f4)},
-  {FIELD_LITERAL(0x00db91b357fe755e,0x00a1aa544b15359c,0x00af4931a0195574,0x007686124fe11aef,0x00d1ead3c7b9ef7e,0x00aaf5fc580f8c15,0x00e727be147ee1ec,0x003c61c1e1577b86)},
-  {FIELD_LITERAL(0x009d3fca983220cf,0x00cd11acbc853dc4,0x0017590409d27f1d,0x00d2176698082802,0x00fa01251b2838c8,0x00dd297a0d9b51c6,0x00d76c92c045820a,0x00534bc7c46c9033)},
-  {FIELD_LITERAL(0x0080ed9bc9b07338,0x00fceac7745d2652,0x008a9d55f5f2cc69,0x0096ce72df301ac5,0x00f53232e7974d87,0x0071728c7ae73947,0x0090507602570778,0x00cb81cfd883b1b2)},
-  {FIELD_LITERAL(0x005011aadea373da,0x003a8578ec896034,0x00f20a6535fa6d71,0x005152d31e5a87cf,0x002bac1c8e68ca31,0x00b0e323db4c1381,0x00f1d596b7d5ae25,0x00eae458097cb4e0)},
-  {FIELD_LITERAL(0x00920ac80f9b0d21,0x00f80f7f73401246,0x0086d37849b557d6,0x0002bd4b317b752e,0x00b26463993a42bb,0x002070422a73b129,0x00341acaa0380cb3,0x00541914dd66a1b2)},
-  {FIELD_LITERAL(0x00c1513cd66abe8c,0x000139e01118944d,0x0064abbcb8080bbb,0x00b3b08202473142,0x00c629ef25da2403,0x00f0aec3310d9b7f,0x0050b2227472d8cd,0x00f6c8a922d41fb4)},
-  {FIELD_LITERAL(0x001075ccf26b7b1f,0x00bb6bb213170433,0x00e9491ad262da79,0x009ef4f48d2d384c,0x008992770766f09d,0x001584396b6b1101,0x00af3f8676c9feef,0x0024603c40269118)},
-  {FIELD_LITERAL(0x009dd7b31319527c,0x001e7ac948d873a9,0x00fa54b46ef9673a,0x0066efb8d5b02fe6,0x00754b1d3928aeae,0x0004262ac72a6f6b,0x0079b7d49a6eb026,0x003126a753540102)},
-  {FIELD_LITERAL(0x009666e24f693947,0x00f714311269d45f,0x0010ffac1d0c851c,0x0066e80c37363497,0x00f1f4ad010c60b0,0x0015c87408470ff7,0x00651d5e9c7766a4,0x008138819d7116de)},
-  {FIELD_LITERAL(0x003934b11c57253b,0x00ef308edf21f46e,0x00e54e99c7a16198,0x0080d57135764e63,0x00751c27b946bc24,0x00dd389ce4e9e129,0x00a1a2bfd1cd84dc,0x002fae73e5149b32)},
-  {FIELD_LITERAL(0x00911657dffb4cdd,0x00c100b7cc553d06,0x00449d075ec467cc,0x007062100bc64e70,0x0043cf86f7bd21e7,0x00f401dc4b797dea,0x005224afb2f62e65,0x00d1ede3fb5a42be)},
-  {FIELD_LITERAL(0x00f2ba36a41aa144,0x00a0c22d946ee18f,0x008aae8ef9a14f99,0x00eef4d79b19bb36,0x008e75ce3d27b1fc,0x00a65daa03b29a27,0x00d9cc83684eb145,0x009e1ed80cc2ed74)},
-  {FIELD_LITERAL(0x00bed953d1997988,0x00b93ed175a24128,0x00871c5963fb6365,0x00ca2df20014a787,0x00f5d9c1d0b34322,0x00f6f5942818db0a,0x004cc091f49c9906,0x00e8a188a60bff9f)},
-  {FIELD_LITERAL(0x0032c7762032fae8,0x00e4087232e0bc21,0x00f767344b6e8d85,0x00bbf369b76c2aa2,0x008a1f46c6e1570c,0x001368cd9780369f,0x007359a39d079430,0x0003646512921434)},
-  {FIELD_LITERAL(0x007c4b47ca7c73e7,0x005396221039734b,0x008b64ddf0e45d7e,0x00bfad5af285e6c2,0x008ec711c5b1a1a8,0x00cf663301237f98,0x00917ee3f1655126,0x004152f337efedd8)},
-  {FIELD_LITERAL(0x0007c7edc9305daa,0x000a6664f273701c,0x00f6e78795e200b1,0x005d05b9ecd2473e,0x0014f5f17c865786,0x00c7fd2d166fa995,0x004939a2d8eb80e0,0x002244ba0942c199)},
-  {FIELD_LITERAL(0x00321e767f0262cf,0x002e57d776caf68e,0x00bf2c94814f0437,0x00c339196acd622f,0x001db4cce71e2770,0x001ded5ddba6eee2,0x0078608ab1554c8d,0x00067fe0ab76365b)},
-  {FIELD_LITERAL(0x00f09758e11e3985,0x00169efdbd64fad3,0x00e8889b7d6dacd6,0x0035cdd58ea88209,0x00bcda47586d7f49,0x003cdddcb2879088,0x0016da70187e954b,0x009556ea2e92aacd)},
-  {FIELD_LITERAL(0x008cab16bd1ff897,0x00b389972cdf753f,0x00ea8ed1e46dfdc0,0x004fe7ef94c589f4,0x002b8ae9b805ecf3,0x0025c08d892874a5,0x0023938e98d44c4c,0x00f759134cabf69c)},
-  {FIELD_LITERAL(0x006c2a84678e4b3b,0x007a194aacd1868f,0x00ed0225af424761,0x00da0a6f293c64b8,0x001062ac5c6a7a18,0x0030f5775a8aeef4,0x0002acaad76b7af0,0x00410b8fd63a579f)},
-  {FIELD_LITERAL(0x001ec59db3d9590e,0x001e9e3f1c3f182d,0x0045a9c3ec2cab14,0x0008198572aeb673,0x00773b74068bd167,0x0012535eaa395434,0x0044dba9e3bbb74a,0x002fba4d3c74bd0e)},
-  {FIELD_LITERAL(0x0042bf08fe66922c,0x003318b8fbb49e8c,0x00d75946004aa14c,0x00f601586b42bf1c,0x00c74cf1d912fe66,0x00abcb36974b30ad,0x007eb78720c9d2b8,0x009f54ab7bd4df85)},
-  {FIELD_LITERAL(0x00db9fc948f73826,0x00fa8b3746ed8ee9,0x00132cb65aafbeb2,0x00c36ff3fe7925b8,0x00837daed353d2fe,0x00ec661be0667cf4,0x005beb8ed2e90204,0x00d77dd69e564967)},
-  {FIELD_LITERAL(0x0042e6268b861751,0x0008dd0469500c16,0x00b51b57c338a3fd,0x00cc4497d85cff6b,0x002f13d6b57c34a4,0x0083652eaf301105,0x00cc344294cc93a8,0x0060f4d02810e270)},
-  {FIELD_LITERAL(0x00a8954363cd518b,0x00ad171124bccb7b,0x0065f46a4adaae00,0x001b1a5b2a96e500,0x0043fe24f8233285,0x0066996d8ae1f2c3,0x00c530f3264169f9,0x00c0f92d07cf6a57)},
-  {FIELD_LITERAL(0x0036a55c6815d943,0x008c8d1def993db3,0x002e0e1e8ff7318f,0x00d883a4b92db00a,0x002f5e781ae33906,0x001a72adb235c06d,0x00f2e59e736e9caa,0x001a4b58e3031914)},
-  {FIELD_LITERAL(0x00d73bfae5e00844,0x00bf459766fb5f52,0x0061b4f5a5313cde,0x004392d4c3b95514,0x000d3551b1077523,0x0000998840ee5d71,0x006de6e340448b7b,0x00251aa504875d6e)},
-  {FIELD_LITERAL(0x003bf343427ac342,0x00adc0a78642b8c5,0x0003b893175a8314,0x0061a34ade5703bc,0x00ea3ea8bb71d632,0x00be0df9a1f198c2,0x0046dd8e7c1635fb,0x00f1523fdd25d5e5)},
-  {FIELD_LITERAL(0x00633f63fc9dd406,0x00e713ff80e04a43,0x0060c6e970f2d621,0x00a57cd7f0df1891,0x00f2406a550650bb,0x00b064290efdc684,0x001eab0144d17916,0x00cd15f863c293ab)},
-  {FIELD_LITERAL(0x0029cec55273f70d,0x007044ee275c6340,0x0040f637a93015e2,0x00338bb78db5aae9,0x001491b2a6132147,0x00a125d6cfe6bde3,0x005f7ac561ba8669,0x001d5eaea3fbaacf)},
-  {FIELD_LITERAL(0x00054e9635e3be31,0x000e43f31e2872be,0x00d05b1c9e339841,0x006fac50bd81fd98,0x00cdc7852eaebb09,0x004ff519b061991b,0x009099e8107d4c85,0x00273e24c36a4a61)},
-  {FIELD_LITERAL(0x00070b4441ef2c46,0x00efa5b02801a109,0x00bf0b8c3ee64adf,0x008a67e0b3452e98,0x001916b1f2fa7a74,0x00d781a78ff6cdc3,0x008682ce57e5c919,0x00cc1109dd210da3)},
-  {FIELD_LITERAL(0x00cae8aaff388663,0x005e983a35dda1c7,0x007ab1030d8e37f4,0x00e48940f5d032fe,0x006a36f9ef30b331,0x009be6f03958c757,0x0086231ceba91400,0x008bd0f7b823e7aa)},
-  {FIELD_LITERAL(0x00cf881ebef5a45a,0x004ebea78e7c6f2c,0x0090da9209cf26a0,0x00de2b2e4c775b84,0x0071d6031c3c15ae,0x00d9e927ef177d70,0x00894ee8c23896fd,0x00e3b3b401e41aad)},
-  {FIELD_LITERAL(0x00204fef26864170,0x00819269c5dee0f8,0x00bfb4713ec97966,0x0026339a6f34df78,0x001f26e64c761dc2,0x00effe3af313cb60,0x00e17b70138f601b,0x00f16e1ccd9ede5e)},
-  {FIELD_LITERAL(0x005d9a8353fdb2db,0x0055cc2048c698f0,0x00f6c4ac89657218,0x00525034d73faeb2,0x00435776fbda3c7d,0x0070ea5312323cbc,0x007a105d44d069fb,0x006dbc8d6dc786aa)},
-  {FIELD_LITERAL(0x0017cff19cd394ec,0x00fef7b810922587,0x00e6483970dff548,0x00ddf36ad6874264,0x00e61778523fcce2,0x0093a66c0c93b24a,0x00fd367114db7f86,0x007652d7ddce26dd)},
-  {FIELD_LITERAL(0x00d92ced7ba12843,0x00aea9c7771e86e7,0x0046639693354f7b,0x00a628dbb6a80c47,0x003a0b0507372953,0x00421113ab45c0d9,0x00e545f08362ab7a,0x0028ce087b4d6d96)},
-  {FIELD_LITERAL(0x00a67ee7cf9f99eb,0x005713b275f2ff68,0x00f1d536a841513d,0x00823b59b024712e,0x009c46b9d0d38cec,0x00cdb1595aa2d7d4,0x008375b3423d9af8,0x000ab0b516d978f7)},
-  {FIELD_LITERAL(0x00428dcb3c510b0f,0x00585607ea24bb4e,0x003736bf1603687a,0x00c47e568c4fe3c7,0x003cd00282848605,0x0043a487c3b91939,0x004ffc04e1095a06,0x00a4c989a3d4b918)},
-  {FIELD_LITERAL(0x00a8778d0e429f7a,0x004c02b059105a68,0x0016653b609da3ff,0x00d5107bd1a12d27,0x00b4708f9a771cab,0x00bb63b662033f69,0x0072f322240e7215,0x0019445b59c69222)},
-  {FIELD_LITERAL(0x00cf4f6069a658e6,0x0053ca52859436a6,0x0064b994d7e3e117,0x00cb469b9a07f534,0x00cfb68f399e9d47,0x00f0dcb8dac1c6e7,0x00f2ab67f538b3a5,0x0055544f178ab975)},
-  {FIELD_LITERAL(0x0099b7a2685d538c,0x00e2f1897b7c0018,0x003adac8ce48dae3,0x00089276d5c50c0c,0x00172fca07ad6717,0x00cb1a72f54069e5,0x004ee42f133545b3,0x00785f8651362f16)},
-  {FIELD_LITERAL(0x0049cbac38509e11,0x0015234505d42cdf,0x00794fb0b5840f1c,0x00496437344045a5,0x0031b6d944e4f9b0,0x00b207318ac1f5d8,0x0000c840da7f5c5d,0x00526f373a5c8814)},
-  {FIELD_LITERAL(0x002c7b7742d1dfd9,0x002cabeb18623c01,0x00055f5e3e044446,0x006c20f3b4ef54ba,0x00c600141ec6b35f,0x00354f437f1a32a3,0x00bac4624a3520f9,0x00c483f734a90691)},
-  {FIELD_LITERAL(0x0053a737d422918d,0x00f7fca1d8758625,0x00c360336dadb04c,0x00f38e3d9158a1b8,0x0069ce3b418e84c6,0x005d1697eca16ead,0x00f8bd6a35ece13d,0x007885dfc2b5afea)},
-  {FIELD_LITERAL(0x00c3617ae260776c,0x00b20dc3e96922d7,0x00a1a7802246706a,0x00ca6505a5240244,0x002246b62d919782,0x001439102d7aa9b3,0x00e8af1139e6422c,0x00c888d1b52f2b05)},
-  {FIELD_LITERAL(0x005b67690ffd41d9,0x005294f28df516f9,0x00a879272412fcb9,0x00098b629a6d1c8d,0x00fabd3c8050865a,0x00cd7e5b0a3879c5,0x00153238210f3423,0x00357cac101e9f42)},
-  {FIELD_LITERAL(0x008917b454444fb7,0x00f59247c97e441b,0x00a6200a6815152d,0x0009a4228601d254,0x001c0360559bd374,0x007563362039cb36,0x00bd75b48d74e32b,0x0017f515ac3499e8)},
-  {FIELD_LITERAL(0x001532a7ffe41c5a,0x00eb1edce358d6bf,0x00ddbacc7b678a7b,0x008a7b70f3c841a3,0x00f1923bf27d3f4c,0x000b2713ed8f7873,0x00aaf67e29047902,0x0044994a70b3976d)},
-  {FIELD_LITERAL(0x00d54e802082d42c,0x00a55aa0dce7cc6c,0x006477b96073f146,0x0082efe4ceb43594,0x00a922bcba026845,0x0077f19d1ab75182,0x00c2bb2737846e59,0x0004d7eec791dd33)},
-  {FIELD_LITERAL(0x0044588d1a81d680,0x00b0a9097208e4f8,0x00212605350dc57e,0x0028717cd2871123,0x00fb083c100fd979,0x0045a056ce063fdf,0x00a5d604b4dd6a41,0x001dabc08ba4e236)},
-  {FIELD_LITERAL(0x00c4887198d7a7fa,0x00244f98fb45784a,0x0045911e15a15d01,0x001d323d374c0966,0x00967c3915196562,0x0039373abd2f3c67,0x000d2c5614312423,0x0041cf2215442ce3)},
-  {FIELD_LITERAL(0x008ede889ada7f06,0x001611e91de2e135,0x00fdb9a458a471b9,0x00563484e03710d1,0x0031cc81925e3070,0x0062c97b3af80005,0x00fa733eea28edeb,0x00e82457e1ebbc88)},
-  {FIELD_LITERAL(0x006a0df5fe9b6f59,0x00a0d4ff46040d92,0x004a7cedb6f93250,0x00d1df8855b8c357,0x00e73a46086fd058,0x0048fb0add6dfe59,0x001e03a28f1b4e3d,0x00a871c993308d76)},
-  {FIELD_LITERAL(0x0030dbb2d1766ec8,0x00586c0ad138555e,0x00d1a34f9e91c77c,0x0063408ad0e89014,0x00d61231b05f6f5b,0x0009abf569f5fd8a,0x00aec67a110f1c43,0x0031d1a790938dd7)},
-  {FIELD_LITERAL(0x006cded841e2a862,0x00198d60af0ab6fb,0x0018f09db809e750,0x004e6ac676016263,0x00eafcd1620969cb,0x002c9784ca34917d,0x0054f00079796de7,0x00d9fab5c5972204)},
-  {FIELD_LITERAL(0x004bd0fee2438a83,0x00b571e62b0f83bd,0x0059287d7ce74800,0x00fb3631b645c3f0,0x00a018e977f78494,0x0091e27065c27b12,0x007696c1817165e0,0x008c40be7c45ba3a)},
-  {FIELD_LITERAL(0x00a0f326327cb684,0x001c7d0f672680ff,0x008c1c81ffb112d1,0x00f8f801674eddc8,0x00e926d5d48c2a9d,0x005bd6d954c6fe9a,0x004c6b24b4e33703,0x00d05eb5c09105cc)},
-  {FIELD_LITERAL(0x00d61731caacf2cf,0x002df0c7609e01c5,0x00306172208b1e2b,0x00b413fe4fb2b686,0x00826d360902a221,0x003f8d056e67e7f7,0x0065025b0175e989,0x00369add117865eb)},
-  {FIELD_LITERAL(0x00aaf895aec2fa11,0x000f892bc313eb52,0x005b1c794dad050b,0x003f8ec4864cec14,0x00af81058d0b90e5,0x00ebe43e183997bb,0x00a9d610f9f3e615,0x007acd8eec2e88d3)},
-  {FIELD_LITERAL(0x0049b2fab13812a3,0x00846db32cd60431,0x000177fa578c8d6c,0x00047d0e2ad4bc51,0x00b158ba38d1e588,0x006a45daad79e3f3,0x000997b93cab887b,0x00c47ea42fa23dc3)},
-  {FIELD_LITERAL(0x0012b6fef7aeb1ca,0x009412768194b6a7,0x00ff0d351f23ab93,0x007e8a14c1aff71b,0x006c1c0170c512bc,0x0016243ea02ab2e5,0x007bb6865b303f3e,0x0015ce6b29b159f4)},
-  {FIELD_LITERAL(0x009961cd02e68108,0x00e2035d3a1d0836,0x005d51f69b5e1a1d,0x004bccb4ea36edcd,0x0069be6a7aeef268,0x0063f4dd9de8d5a7,0x006283783092ca35,0x0075a31af2c35409)},
-  {FIELD_LITERAL(0x00c412365162e8cf,0x00012283fb34388a,0x003e6543babf39e2,0x00eead6b3a804978,0x0099c0314e8b326f,0x00e98e0a8d477a4f,0x00d2eb96b127a687,0x00ed8d7df87571bb)},
-  {FIELD_LITERAL(0x00777463e308cacf,0x00c8acb93950132d,0x00ebddbf4ca48b2c,0x0026ad7ca0795a0a,0x00f99a3d9a715064,0x000d60bcf9d4dfcc,0x005e65a73a437a06,0x0019d536a8db56c8)},
-  {FIELD_LITERAL(0x00192d7dd558d135,0x0027cd6a8323ffa7,0x00239f1a412dc1e7,0x0046b4b3be74fc5c,0x0020c47a2bef5bce,0x00aa17e48f43862b,0x00f7e26c96342e5f,0x0008011c530f39a9)},
-  {FIELD_LITERAL(0x00aad4ac569bf0f1,0x00a67adc90b27740,0x0048551369a5751a,0x0031252584a3306a,0x0084e15df770e6fc,0x00d7bba1c74b5805,0x00a80ef223af1012,0x0089c85ceb843a34)},
-  {FIELD_LITERAL(0x00c4545be4a54004,0x0099e11f60357e6c,0x001f3936d19515a6,0x007793df84341a6e,0x0051061886717ffa,0x00e9b0a660b28f85,0x0044ea685892de0d,0x000257d2a1fda9d9)},
-  {FIELD_LITERAL(0x007e8b01b24ac8a8,0x006cf3b0b5ca1337,0x00f1607d3e36a570,0x0039b7fab82991a1,0x00231777065840c5,0x00998e5afdd346f9,0x00b7dc3e64acc85f,0x00baacc748013ad6)},
-  {FIELD_LITERAL(0x008ea6a4177580bf,0x005fa1953e3f0378,0x005fe409ac74d614,0x00452327f477e047,0x00a4018507fb6073,0x007b6e71951caac8,0x0012b42ab8a6ce91,0x0080eca677294ab7)},
-  {FIELD_LITERAL(0x00a53edc023ba69b,0x00c6afa83ddde2e8,0x00c3f638b307b14e,0x004a357a64414062,0x00e4d94d8b582dc9,0x001739caf71695b7,0x0012431b2ae28de1,0x003b6bc98682907c)},
-  {FIELD_LITERAL(0x008a9a93be1f99d6,0x0079fa627cc699c8,0x00b0cfb134ba84c8,0x001c4b778249419a,0x00df4ab3d9c44f40,0x009f596e6c1a9e3c,0x001979c0df237316,0x00501e953a919b87)}
+VECTOR_ALIGNED __attribute__ ((visibility("hidden"))) =
+{
+    {
+    FIELD_LITERAL(0x00303cda6feea532, 0x00860f1d5a3850e4,
+                      0x00226b9fa4728ccd, 0x00e822938a0a0c0c,
+                      0x00263a61c9ea9216, 0x001204029321b828,
+                      0x006a468360983c65, 0x0002846f0a782143)}, {
+    FIELD_LITERAL(0x00303cda6feea532, 0x00860f1d5a3850e4,
+                      0x00226b9fa4728ccd, 0x006822938a0a0c0c,
+                      0x00263a61c9ea9215, 0x001204029321b828,
+                      0x006a468360983c65, 0x0082846f0a782143)}, {
+    FIELD_LITERAL(0x00ef8e22b275198d, 0x00b0eb141a0b0e8b,
+                      0x001f6789da3cb38c, 0x006d2ff8ed39073e,
+                      0x00610bdb69a167f3, 0x00571f306c9689b4,
+                      0x00f557e6f84b2df8, 0x002affd38b2c86db)}, {
+    FIELD_LITERAL(0x00cea0fc8d2e88b5, 0x00821612d69f1862,
+                      0x0074c283b3e67522, 0x005a195ba05a876d,
+                      0x000cddfe557feea4, 0x008046c795bcc5e5,
+                      0x00540969f4d6e119, 0x00d27f96d6b143d5)}, {
+    FIELD_LITERAL(0x000c3b1019d474e8, 0x00e19533e4952284,
+                      0x00cc9810ba7c920a, 0x00f103d2785945ac,
+                      0x00bfa5696cc69b34, 0x00a8d3d51e9ca839,
+                      0x005623cb459586b9, 0x00eae7ce1cd52e9e)}, {
+    FIELD_LITERAL(0x0005a178751dd7d8, 0x002cc3844c69c42f,
+                      0x00acbfe5efe10539, 0x009c20f43431a65a,
+                      0x008435d96374a7b3, 0x009ee57566877bd3,
+                      0x0044691725ed4757, 0x001e87bb2fe2c6b2)}, {
+    FIELD_LITERAL(0x000cedc4debf7a04, 0x002ffa45000470ac,
+                      0x002e9f9678201915, 0x0017da1208c4fe72,
+                      0x007d558cc7d656cb, 0x0037a827287cf289,
+                      0x00142472d3441819, 0x009c21f166cf8dd1)}, {
+    FIELD_LITERAL(0x003ef83af164b2f2, 0x000949a5a0525d0d,
+                      0x00f4498186cac051, 0x00e77ac09ef126d2,
+                      0x0073ae0b2c9296e9, 0x001c163f6922e3ed,
+                      0x0062946159321bea, 0x00cfb79b22990b39)}, {
+    FIELD_LITERAL(0x00b001431ca9e654, 0x002d7e5eabcc9a3a,
+                      0x0052e8114c2f6747, 0x0079ac4f94487f92,
+                      0x00bffd919b5d749c, 0x00261f92ad15e620,
+                      0x00718397b7a97895, 0x00c1443e6ebbc0c4)}, {
+    FIELD_LITERAL(0x00eacd90c1e0a049, 0x008977935b149fbe,
+                      0x0004cb9ba11c93dc, 0x009fbd5b3470844d,
+                      0x004bc18c9bfc22cf, 0x0057679a991839f3,
+                      0x00ef15b76fb4092e, 0x0074a5173a225041)}, {
+    FIELD_LITERAL(0x003f5f9d7ec4777b, 0x00ab2e733c919c94,
+                      0x001bb6c035245ae5, 0x00a325a49a883630,
+                      0x0033e9a9ea3cea2f, 0x00e442a1eaa0e844,
+                      0x00b2116d5b0e71b8, 0x00c16abed6d64047)}, {
+    FIELD_LITERAL(0x00c560b5ed051165, 0x001945adc5d65094,
+                      0x00e221865710f910, 0x00cc12bc9e9b8ceb,
+                      0x004faa9518914e35, 0x0017476d89d42f6d,
+                      0x00b8f637c8fa1c8b, 0x0088c7d2790864b8)}, {
+    FIELD_LITERAL(0x00ef7eafc1c69be6, 0x0085d3855778fbea,
+                      0x002c8d5b450cb6f5, 0x004e77de5e1e7fec,
+                      0x0047c057893abded, 0x001b430b85d51e16,
+                      0x00965c7b45640c3c, 0x00487b2bb1162b97)}, {
+    FIELD_LITERAL(0x0099c73a311beec2, 0x00a3eff38d8912ad,
+                      0x002efa9d1d7e8972, 0x00f717ae1e14d126,
+                      0x002833f795850c8b, 0x0066c12ad71486bd,
+                      0x00ae9889da4820eb, 0x00d6044309555c08)}, {
+    FIELD_LITERAL(0x004b1c5283d15e41, 0x00669d8ea308ff75,
+                      0x0004390233f762a1, 0x00e1d67b83cb6cec,
+                      0x003eebaa964c78b1, 0x006b0aff965eb664,
+                      0x00b313d4470bdc37, 0x008814ffcb3cb9d8)}, {
+    FIELD_LITERAL(0x009724b8ce68db70, 0x007678b5ed006f3d,
+                      0x00bdf4b89c0abd73, 0x00299748e04c7c6d,
+                      0x00ddd86492c3c977, 0x00c5a7febfa30a99,
+                      0x00ed84715b4b02bb, 0x00319568adf70486)}, {
+    FIELD_LITERAL(0x0070ff2d864de5bb, 0x005a37eeb637ee95,
+                      0x0033741c258de160, 0x00e6ca5cb1988f46,
+                      0x001ceabd92a24661, 0x0030957bd500fe40,
+                      0x001c3362afe912c5, 0x005187889f678bd2)}, {
+    FIELD_LITERAL(0x0086835fc62bbdc7, 0x009c3516ca4910a1,
+                      0x00956c71f8d00783, 0x0095c78fcf63235f,
+                      0x00fc7ff6ba05c222, 0x00cdd8b3f8d74a52,
+                      0x00ac5ae16de8256e, 0x00e9d4be8ed48624)}, {
+    FIELD_LITERAL(0x00c0ce11405df2d8, 0x004e3f37b293d7b6,
+                      0x002410172e1ac6db, 0x00b8dbff4bf8143d,
+                      0x003a7b409d56eb66, 0x003e0f6a0dfef9af,
+                      0x0081c4e4d3645be1, 0x00ce76076b127623)}, {
+    FIELD_LITERAL(0x00f6ee0f98974239, 0x0042d89af07d3a4f,
+                      0x00846b7fe84346b5, 0x006a21fc6a8d39a1,
+                      0x00ac8bc2541ff2d9, 0x006d4e2a77732732,
+                      0x009a39b694cc3f2f, 0x0085c0aa2a404c8f)}, {
+    FIELD_LITERAL(0x00b261101a218548, 0x00c1cae96424277b,
+                      0x00869da0a77dd268, 0x00bc0b09f8ec83ea,
+                      0x00d61027f8e82ba9, 0x00aa4c85999dce67,
+                      0x00eac3132b9f3fe1, 0x00fb9b0cf1c695d2)}, {
+    FIELD_LITERAL(0x0043079295512f0d, 0x0046a009861758e0,
+                      0x003ee2842a807378, 0x0034cc9d1298e4fa,
+                      0x009744eb4d31b3ee, 0x00afacec96650cd0,
+                      0x00ac891b313761ae, 0x00e864d6d26e708a)}, {
+    FIELD_LITERAL(0x00a84d7c8a23b491, 0x0088e19aa868b27f,
+                      0x0005986d43e78ce9, 0x00f28012f0606d28,
+                      0x0017ded7e10249b3, 0x005ed4084b23af9b,
+                      0x00b9b0a940564472, 0x00ad9056cceeb1f4)}, {
+    FIELD_LITERAL(0x00db91b357fe755e, 0x00a1aa544b15359c,
+                      0x00af4931a0195574, 0x007686124fe11aef,
+                      0x00d1ead3c7b9ef7e, 0x00aaf5fc580f8c15,
+                      0x00e727be147ee1ec, 0x003c61c1e1577b86)}, {
+    FIELD_LITERAL(0x009d3fca983220cf, 0x00cd11acbc853dc4,
+                      0x0017590409d27f1d, 0x00d2176698082802,
+                      0x00fa01251b2838c8, 0x00dd297a0d9b51c6,
+                      0x00d76c92c045820a, 0x00534bc7c46c9033)}, {
+    FIELD_LITERAL(0x0080ed9bc9b07338, 0x00fceac7745d2652,
+                      0x008a9d55f5f2cc69, 0x0096ce72df301ac5,
+                      0x00f53232e7974d87, 0x0071728c7ae73947,
+                      0x0090507602570778, 0x00cb81cfd883b1b2)}, {
+    FIELD_LITERAL(0x005011aadea373da, 0x003a8578ec896034,
+                      0x00f20a6535fa6d71, 0x005152d31e5a87cf,
+                      0x002bac1c8e68ca31, 0x00b0e323db4c1381,
+                      0x00f1d596b7d5ae25, 0x00eae458097cb4e0)}, {
+    FIELD_LITERAL(0x00920ac80f9b0d21, 0x00f80f7f73401246,
+                      0x0086d37849b557d6, 0x0002bd4b317b752e,
+                      0x00b26463993a42bb, 0x002070422a73b129,
+                      0x00341acaa0380cb3, 0x00541914dd66a1b2)}, {
+    FIELD_LITERAL(0x00c1513cd66abe8c, 0x000139e01118944d,
+                      0x0064abbcb8080bbb, 0x00b3b08202473142,
+                      0x00c629ef25da2403, 0x00f0aec3310d9b7f,
+                      0x0050b2227472d8cd, 0x00f6c8a922d41fb4)}, {
+    FIELD_LITERAL(0x001075ccf26b7b1f, 0x00bb6bb213170433,
+                      0x00e9491ad262da79, 0x009ef4f48d2d384c,
+                      0x008992770766f09d, 0x001584396b6b1101,
+                      0x00af3f8676c9feef, 0x0024603c40269118)}, {
+    FIELD_LITERAL(0x009dd7b31319527c, 0x001e7ac948d873a9,
+                      0x00fa54b46ef9673a, 0x0066efb8d5b02fe6,
+                      0x00754b1d3928aeae, 0x0004262ac72a6f6b,
+                      0x0079b7d49a6eb026, 0x003126a753540102)}, {
+    FIELD_LITERAL(0x009666e24f693947, 0x00f714311269d45f,
+                      0x0010ffac1d0c851c, 0x0066e80c37363497,
+                      0x00f1f4ad010c60b0, 0x0015c87408470ff7,
+                      0x00651d5e9c7766a4, 0x008138819d7116de)}, {
+    FIELD_LITERAL(0x003934b11c57253b, 0x00ef308edf21f46e,
+                      0x00e54e99c7a16198, 0x0080d57135764e63,
+                      0x00751c27b946bc24, 0x00dd389ce4e9e129,
+                      0x00a1a2bfd1cd84dc, 0x002fae73e5149b32)}, {
+    FIELD_LITERAL(0x00911657dffb4cdd, 0x00c100b7cc553d06,
+                      0x00449d075ec467cc, 0x007062100bc64e70,
+                      0x0043cf86f7bd21e7, 0x00f401dc4b797dea,
+                      0x005224afb2f62e65, 0x00d1ede3fb5a42be)}, {
+    FIELD_LITERAL(0x00f2ba36a41aa144, 0x00a0c22d946ee18f,
+                      0x008aae8ef9a14f99, 0x00eef4d79b19bb36,
+                      0x008e75ce3d27b1fc, 0x00a65daa03b29a27,
+                      0x00d9cc83684eb145, 0x009e1ed80cc2ed74)}, {
+    FIELD_LITERAL(0x00bed953d1997988, 0x00b93ed175a24128,
+                      0x00871c5963fb6365, 0x00ca2df20014a787,
+                      0x00f5d9c1d0b34322, 0x00f6f5942818db0a,
+                      0x004cc091f49c9906, 0x00e8a188a60bff9f)}, {
+    FIELD_LITERAL(0x0032c7762032fae8, 0x00e4087232e0bc21,
+                      0x00f767344b6e8d85, 0x00bbf369b76c2aa2,
+                      0x008a1f46c6e1570c, 0x001368cd9780369f,
+                      0x007359a39d079430, 0x0003646512921434)}, {
+    FIELD_LITERAL(0x007c4b47ca7c73e7, 0x005396221039734b,
+                      0x008b64ddf0e45d7e, 0x00bfad5af285e6c2,
+                      0x008ec711c5b1a1a8, 0x00cf663301237f98,
+                      0x00917ee3f1655126, 0x004152f337efedd8)}, {
+    FIELD_LITERAL(0x0007c7edc9305daa, 0x000a6664f273701c,
+                      0x00f6e78795e200b1, 0x005d05b9ecd2473e,
+                      0x0014f5f17c865786, 0x00c7fd2d166fa995,
+                      0x004939a2d8eb80e0, 0x002244ba0942c199)}, {
+    FIELD_LITERAL(0x00321e767f0262cf, 0x002e57d776caf68e,
+                      0x00bf2c94814f0437, 0x00c339196acd622f,
+                      0x001db4cce71e2770, 0x001ded5ddba6eee2,
+                      0x0078608ab1554c8d, 0x00067fe0ab76365b)}, {
+    FIELD_LITERAL(0x00f09758e11e3985, 0x00169efdbd64fad3,
+                      0x00e8889b7d6dacd6, 0x0035cdd58ea88209,
+                      0x00bcda47586d7f49, 0x003cdddcb2879088,
+                      0x0016da70187e954b, 0x009556ea2e92aacd)}, {
+    FIELD_LITERAL(0x008cab16bd1ff897, 0x00b389972cdf753f,
+                      0x00ea8ed1e46dfdc0, 0x004fe7ef94c589f4,
+                      0x002b8ae9b805ecf3, 0x0025c08d892874a5,
+                      0x0023938e98d44c4c, 0x00f759134cabf69c)}, {
+    FIELD_LITERAL(0x006c2a84678e4b3b, 0x007a194aacd1868f,
+                      0x00ed0225af424761, 0x00da0a6f293c64b8,
+                      0x001062ac5c6a7a18, 0x0030f5775a8aeef4,
+                      0x0002acaad76b7af0, 0x00410b8fd63a579f)}, {
+    FIELD_LITERAL(0x001ec59db3d9590e, 0x001e9e3f1c3f182d,
+                      0x0045a9c3ec2cab14, 0x0008198572aeb673,
+                      0x00773b74068bd167, 0x0012535eaa395434,
+                      0x0044dba9e3bbb74a, 0x002fba4d3c74bd0e)}, {
+    FIELD_LITERAL(0x0042bf08fe66922c, 0x003318b8fbb49e8c,
+                      0x00d75946004aa14c, 0x00f601586b42bf1c,
+                      0x00c74cf1d912fe66, 0x00abcb36974b30ad,
+                      0x007eb78720c9d2b8, 0x009f54ab7bd4df85)}, {
+    FIELD_LITERAL(0x00db9fc948f73826, 0x00fa8b3746ed8ee9,
+                      0x00132cb65aafbeb2, 0x00c36ff3fe7925b8,
+                      0x00837daed353d2fe, 0x00ec661be0667cf4,
+                      0x005beb8ed2e90204, 0x00d77dd69e564967)}, {
+    FIELD_LITERAL(0x0042e6268b861751, 0x0008dd0469500c16,
+                      0x00b51b57c338a3fd, 0x00cc4497d85cff6b,
+                      0x002f13d6b57c34a4, 0x0083652eaf301105,
+                      0x00cc344294cc93a8, 0x0060f4d02810e270)}, {
+    FIELD_LITERAL(0x00a8954363cd518b, 0x00ad171124bccb7b,
+                      0x0065f46a4adaae00, 0x001b1a5b2a96e500,
+                      0x0043fe24f8233285, 0x0066996d8ae1f2c3,
+                      0x00c530f3264169f9, 0x00c0f92d07cf6a57)}, {
+    FIELD_LITERAL(0x0036a55c6815d943, 0x008c8d1def993db3,
+                      0x002e0e1e8ff7318f, 0x00d883a4b92db00a,
+                      0x002f5e781ae33906, 0x001a72adb235c06d,
+                      0x00f2e59e736e9caa, 0x001a4b58e3031914)}, {
+    FIELD_LITERAL(0x00d73bfae5e00844, 0x00bf459766fb5f52,
+                      0x0061b4f5a5313cde, 0x004392d4c3b95514,
+                      0x000d3551b1077523, 0x0000998840ee5d71,
+                      0x006de6e340448b7b, 0x00251aa504875d6e)}, {
+    FIELD_LITERAL(0x003bf343427ac342, 0x00adc0a78642b8c5,
+                      0x0003b893175a8314, 0x0061a34ade5703bc,
+                      0x00ea3ea8bb71d632, 0x00be0df9a1f198c2,
+                      0x0046dd8e7c1635fb, 0x00f1523fdd25d5e5)}, {
+    FIELD_LITERAL(0x00633f63fc9dd406, 0x00e713ff80e04a43,
+                      0x0060c6e970f2d621, 0x00a57cd7f0df1891,
+                      0x00f2406a550650bb, 0x00b064290efdc684,
+                      0x001eab0144d17916, 0x00cd15f863c293ab)}, {
+    FIELD_LITERAL(0x0029cec55273f70d, 0x007044ee275c6340,
+                      0x0040f637a93015e2, 0x00338bb78db5aae9,
+                      0x001491b2a6132147, 0x00a125d6cfe6bde3,
+                      0x005f7ac561ba8669, 0x001d5eaea3fbaacf)}, {
+    FIELD_LITERAL(0x00054e9635e3be31, 0x000e43f31e2872be,
+                      0x00d05b1c9e339841, 0x006fac50bd81fd98,
+                      0x00cdc7852eaebb09, 0x004ff519b061991b,
+                      0x009099e8107d4c85, 0x00273e24c36a4a61)}, {
+    FIELD_LITERAL(0x00070b4441ef2c46, 0x00efa5b02801a109,
+                      0x00bf0b8c3ee64adf, 0x008a67e0b3452e98,
+                      0x001916b1f2fa7a74, 0x00d781a78ff6cdc3,
+                      0x008682ce57e5c919, 0x00cc1109dd210da3)}, {
+    FIELD_LITERAL(0x00cae8aaff388663, 0x005e983a35dda1c7,
+                      0x007ab1030d8e37f4, 0x00e48940f5d032fe,
+                      0x006a36f9ef30b331, 0x009be6f03958c757,
+                      0x0086231ceba91400, 0x008bd0f7b823e7aa)}, {
+    FIELD_LITERAL(0x00cf881ebef5a45a, 0x004ebea78e7c6f2c,
+                      0x0090da9209cf26a0, 0x00de2b2e4c775b84,
+                      0x0071d6031c3c15ae, 0x00d9e927ef177d70,
+                      0x00894ee8c23896fd, 0x00e3b3b401e41aad)}, {
+    FIELD_LITERAL(0x00204fef26864170, 0x00819269c5dee0f8,
+                      0x00bfb4713ec97966, 0x0026339a6f34df78,
+                      0x001f26e64c761dc2, 0x00effe3af313cb60,
+                      0x00e17b70138f601b, 0x00f16e1ccd9ede5e)}, {
+    FIELD_LITERAL(0x005d9a8353fdb2db, 0x0055cc2048c698f0,
+                      0x00f6c4ac89657218, 0x00525034d73faeb2,
+                      0x00435776fbda3c7d, 0x0070ea5312323cbc,
+                      0x007a105d44d069fb, 0x006dbc8d6dc786aa)}, {
+    FIELD_LITERAL(0x0017cff19cd394ec, 0x00fef7b810922587,
+                      0x00e6483970dff548, 0x00ddf36ad6874264,
+                      0x00e61778523fcce2, 0x0093a66c0c93b24a,
+                      0x00fd367114db7f86, 0x007652d7ddce26dd)}, {
+    FIELD_LITERAL(0x00d92ced7ba12843, 0x00aea9c7771e86e7,
+                      0x0046639693354f7b, 0x00a628dbb6a80c47,
+                      0x003a0b0507372953, 0x00421113ab45c0d9,
+                      0x00e545f08362ab7a, 0x0028ce087b4d6d96)}, {
+    FIELD_LITERAL(0x00a67ee7cf9f99eb, 0x005713b275f2ff68,
+                      0x00f1d536a841513d, 0x00823b59b024712e,
+                      0x009c46b9d0d38cec, 0x00cdb1595aa2d7d4,
+                      0x008375b3423d9af8, 0x000ab0b516d978f7)}, {
+    FIELD_LITERAL(0x00428dcb3c510b0f, 0x00585607ea24bb4e,
+                      0x003736bf1603687a, 0x00c47e568c4fe3c7,
+                      0x003cd00282848605, 0x0043a487c3b91939,
+                      0x004ffc04e1095a06, 0x00a4c989a3d4b918)}, {
+    FIELD_LITERAL(0x00a8778d0e429f7a, 0x004c02b059105a68,
+                      0x0016653b609da3ff, 0x00d5107bd1a12d27,
+                      0x00b4708f9a771cab, 0x00bb63b662033f69,
+                      0x0072f322240e7215, 0x0019445b59c69222)}, {
+    FIELD_LITERAL(0x00cf4f6069a658e6, 0x0053ca52859436a6,
+                      0x0064b994d7e3e117, 0x00cb469b9a07f534,
+                      0x00cfb68f399e9d47, 0x00f0dcb8dac1c6e7,
+                      0x00f2ab67f538b3a5, 0x0055544f178ab975)}, {
+    FIELD_LITERAL(0x0099b7a2685d538c, 0x00e2f1897b7c0018,
+                      0x003adac8ce48dae3, 0x00089276d5c50c0c,
+                      0x00172fca07ad6717, 0x00cb1a72f54069e5,
+                      0x004ee42f133545b3, 0x00785f8651362f16)}, {
+    FIELD_LITERAL(0x0049cbac38509e11, 0x0015234505d42cdf,
+                      0x00794fb0b5840f1c, 0x00496437344045a5,
+                      0x0031b6d944e4f9b0, 0x00b207318ac1f5d8,
+                      0x0000c840da7f5c5d, 0x00526f373a5c8814)}, {
+    FIELD_LITERAL(0x002c7b7742d1dfd9, 0x002cabeb18623c01,
+                      0x00055f5e3e044446, 0x006c20f3b4ef54ba,
+                      0x00c600141ec6b35f, 0x00354f437f1a32a3,
+                      0x00bac4624a3520f9, 0x00c483f734a90691)}, {
+    FIELD_LITERAL(0x0053a737d422918d, 0x00f7fca1d8758625,
+                      0x00c360336dadb04c, 0x00f38e3d9158a1b8,
+                      0x0069ce3b418e84c6, 0x005d1697eca16ead,
+                      0x00f8bd6a35ece13d, 0x007885dfc2b5afea)}, {
+    FIELD_LITERAL(0x00c3617ae260776c, 0x00b20dc3e96922d7,
+                      0x00a1a7802246706a, 0x00ca6505a5240244,
+                      0x002246b62d919782, 0x001439102d7aa9b3,
+                      0x00e8af1139e6422c, 0x00c888d1b52f2b05)}, {
+    FIELD_LITERAL(0x005b67690ffd41d9, 0x005294f28df516f9,
+                      0x00a879272412fcb9, 0x00098b629a6d1c8d,
+                      0x00fabd3c8050865a, 0x00cd7e5b0a3879c5,
+                      0x00153238210f3423, 0x00357cac101e9f42)}, {
+    FIELD_LITERAL(0x008917b454444fb7, 0x00f59247c97e441b,
+                      0x00a6200a6815152d, 0x0009a4228601d254,
+                      0x001c0360559bd374, 0x007563362039cb36,
+                      0x00bd75b48d74e32b, 0x0017f515ac3499e8)}, {
+    FIELD_LITERAL(0x001532a7ffe41c5a, 0x00eb1edce358d6bf,
+                      0x00ddbacc7b678a7b, 0x008a7b70f3c841a3,
+                      0x00f1923bf27d3f4c, 0x000b2713ed8f7873,
+                      0x00aaf67e29047902, 0x0044994a70b3976d)}, {
+    FIELD_LITERAL(0x00d54e802082d42c, 0x00a55aa0dce7cc6c,
+                      0x006477b96073f146, 0x0082efe4ceb43594,
+                      0x00a922bcba026845, 0x0077f19d1ab75182,
+                      0x00c2bb2737846e59, 0x0004d7eec791dd33)}, {
+    FIELD_LITERAL(0x0044588d1a81d680, 0x00b0a9097208e4f8,
+                      0x00212605350dc57e, 0x0028717cd2871123,
+                      0x00fb083c100fd979, 0x0045a056ce063fdf,
+                      0x00a5d604b4dd6a41, 0x001dabc08ba4e236)}, {
+    FIELD_LITERAL(0x00c4887198d7a7fa, 0x00244f98fb45784a,
+                      0x0045911e15a15d01, 0x001d323d374c0966,
+                      0x00967c3915196562, 0x0039373abd2f3c67,
+                      0x000d2c5614312423, 0x0041cf2215442ce3)}, {
+    FIELD_LITERAL(0x008ede889ada7f06, 0x001611e91de2e135,
+                      0x00fdb9a458a471b9, 0x00563484e03710d1,
+                      0x0031cc81925e3070, 0x0062c97b3af80005,
+                      0x00fa733eea28edeb, 0x00e82457e1ebbc88)}, {
+    FIELD_LITERAL(0x006a0df5fe9b6f59, 0x00a0d4ff46040d92,
+                      0x004a7cedb6f93250, 0x00d1df8855b8c357,
+                      0x00e73a46086fd058, 0x0048fb0add6dfe59,
+                      0x001e03a28f1b4e3d, 0x00a871c993308d76)}, {
+    FIELD_LITERAL(0x0030dbb2d1766ec8, 0x00586c0ad138555e,
+                      0x00d1a34f9e91c77c, 0x0063408ad0e89014,
+                      0x00d61231b05f6f5b, 0x0009abf569f5fd8a,
+                      0x00aec67a110f1c43, 0x0031d1a790938dd7)}, {
+    FIELD_LITERAL(0x006cded841e2a862, 0x00198d60af0ab6fb,
+                      0x0018f09db809e750, 0x004e6ac676016263,
+                      0x00eafcd1620969cb, 0x002c9784ca34917d,
+                      0x0054f00079796de7, 0x00d9fab5c5972204)}, {
+    FIELD_LITERAL(0x004bd0fee2438a83, 0x00b571e62b0f83bd,
+                      0x0059287d7ce74800, 0x00fb3631b645c3f0,
+                      0x00a018e977f78494, 0x0091e27065c27b12,
+                      0x007696c1817165e0, 0x008c40be7c45ba3a)}, {
+    FIELD_LITERAL(0x00a0f326327cb684, 0x001c7d0f672680ff,
+                      0x008c1c81ffb112d1, 0x00f8f801674eddc8,
+                      0x00e926d5d48c2a9d, 0x005bd6d954c6fe9a,
+                      0x004c6b24b4e33703, 0x00d05eb5c09105cc)}, {
+    FIELD_LITERAL(0x00d61731caacf2cf, 0x002df0c7609e01c5,
+                      0x00306172208b1e2b, 0x00b413fe4fb2b686,
+                      0x00826d360902a221, 0x003f8d056e67e7f7,
+                      0x0065025b0175e989, 0x00369add117865eb)}, {
+    FIELD_LITERAL(0x00aaf895aec2fa11, 0x000f892bc313eb52,
+                      0x005b1c794dad050b, 0x003f8ec4864cec14,
+                      0x00af81058d0b90e5, 0x00ebe43e183997bb,
+                      0x00a9d610f9f3e615, 0x007acd8eec2e88d3)}, {
+    FIELD_LITERAL(0x0049b2fab13812a3, 0x00846db32cd60431,
+                      0x000177fa578c8d6c, 0x00047d0e2ad4bc51,
+                      0x00b158ba38d1e588, 0x006a45daad79e3f3,
+                      0x000997b93cab887b, 0x00c47ea42fa23dc3)}, {
+    FIELD_LITERAL(0x0012b6fef7aeb1ca, 0x009412768194b6a7,
+                      0x00ff0d351f23ab93, 0x007e8a14c1aff71b,
+                      0x006c1c0170c512bc, 0x0016243ea02ab2e5,
+                      0x007bb6865b303f3e, 0x0015ce6b29b159f4)}, {
+    FIELD_LITERAL(0x009961cd02e68108, 0x00e2035d3a1d0836,
+                      0x005d51f69b5e1a1d, 0x004bccb4ea36edcd,
+                      0x0069be6a7aeef268, 0x0063f4dd9de8d5a7,
+                      0x006283783092ca35, 0x0075a31af2c35409)}, {
+    FIELD_LITERAL(0x00c412365162e8cf, 0x00012283fb34388a,
+                      0x003e6543babf39e2, 0x00eead6b3a804978,
+                      0x0099c0314e8b326f, 0x00e98e0a8d477a4f,
+                      0x00d2eb96b127a687, 0x00ed8d7df87571bb)}, {
+    FIELD_LITERAL(0x00777463e308cacf, 0x00c8acb93950132d,
+                      0x00ebddbf4ca48b2c, 0x0026ad7ca0795a0a,
+                      0x00f99a3d9a715064, 0x000d60bcf9d4dfcc,
+                      0x005e65a73a437a06, 0x0019d536a8db56c8)}, {
+    FIELD_LITERAL(0x00192d7dd558d135, 0x0027cd6a8323ffa7,
+                      0x00239f1a412dc1e7, 0x0046b4b3be74fc5c,
+                      0x0020c47a2bef5bce, 0x00aa17e48f43862b,
+                      0x00f7e26c96342e5f, 0x0008011c530f39a9)}, {
+    FIELD_LITERAL(0x00aad4ac569bf0f1, 0x00a67adc90b27740,
+                      0x0048551369a5751a, 0x0031252584a3306a,
+                      0x0084e15df770e6fc, 0x00d7bba1c74b5805,
+                      0x00a80ef223af1012, 0x0089c85ceb843a34)}, {
+    FIELD_LITERAL(0x00c4545be4a54004, 0x0099e11f60357e6c,
+                      0x001f3936d19515a6, 0x007793df84341a6e,
+                      0x0051061886717ffa, 0x00e9b0a660b28f85,
+                      0x0044ea685892de0d, 0x000257d2a1fda9d9)}, {
+    FIELD_LITERAL(0x007e8b01b24ac8a8, 0x006cf3b0b5ca1337,
+                      0x00f1607d3e36a570, 0x0039b7fab82991a1,
+                      0x00231777065840c5, 0x00998e5afdd346f9,
+                      0x00b7dc3e64acc85f, 0x00baacc748013ad6)}, {
+    FIELD_LITERAL(0x008ea6a4177580bf, 0x005fa1953e3f0378,
+                      0x005fe409ac74d614, 0x00452327f477e047,
+                      0x00a4018507fb6073, 0x007b6e71951caac8,
+                      0x0012b42ab8a6ce91, 0x0080eca677294ab7)}, {
+    FIELD_LITERAL(0x00a53edc023ba69b, 0x00c6afa83ddde2e8,
+                      0x00c3f638b307b14e, 0x004a357a64414062,
+                      0x00e4d94d8b582dc9, 0x001739caf71695b7,
+                      0x0012431b2ae28de1, 0x003b6bc98682907c)}, {
+    FIELD_LITERAL(0x008a9a93be1f99d6, 0x0079fa627cc699c8,
+                      0x00b0cfb134ba84c8, 0x001c4b778249419a,
+                      0x00df4ab3d9c44f40, 0x009f596e6c1a9e3c,
+                      0x001979c0df237316, 0x00501e953a919b87)}
 };
index 7469a3091277baee37baf7b5f46bfa11851568c5..c63bded7d59451520a6384f184de3f564b8db1e0 100644 (file)
@@ -72,24 +72,31 @@ const uint8_t in_u3[56] = {
 
 const uint8_t out_u3[3][56] = {
     {
-        0x3f, 0x48, 0x2c, 0x8a, 0x9f, 0x19, 0xb0, 0x1e, 0x6c, 0x46, 0xee, 0x97,
-        0x11, 0xd9, 0xdc, 0x14, 0xfd, 0x4b, 0xf6, 0x7a, 0xf3, 0x07, 0x65, 0xc2,
-        0xae, 0x2b, 0x84, 0x6a, 0x4d, 0x23, 0xa8, 0xcd, 0x0d, 0xb8, 0x97, 0x08,
-        0x62, 0x39, 0x49, 0x2c, 0xaf, 0x35, 0x0b, 0x51, 0xf8, 0x33, 0x86, 0x8b,
-        0x9b, 0xc2, 0xb3, 0xbc, 0xa9, 0xcf, 0x41, 0x13
-    }, {
-        0xaa, 0x3b, 0x47, 0x49, 0xd5, 0x5b, 0x9d, 0xaf, 0x1e, 0x5b, 0x00, 0x28,
-        0x88, 0x26, 0xc4, 0x67, 0x27, 0x4c, 0xe3, 0xeb, 0xbd, 0xd5, 0xc1, 0x7b,
-        0x97, 0x5e, 0x09, 0xd4, 0xaf, 0x6c, 0x67, 0xcf, 0x10, 0xd0, 0x87, 0x20,
-        0x2d, 0xb8, 0x82, 0x86, 0xe2, 0xb7, 0x9f, 0xce, 0xea, 0x3e, 0xc3, 0x53,
-        0xef, 0x54, 0xfa, 0xa2, 0x6e, 0x21, 0x9f, 0x38
-    }, {
-        0x07, 0x7f, 0x45, 0x36, 0x81, 0xca, 0xca, 0x36, 0x93, 0x19, 0x84, 0x20,
-        0xbb, 0xe5, 0x15, 0xca, 0xe0, 0x00, 0x24, 0x72, 0x51, 0x9b, 0x3e, 0x67,
-        0x66, 0x1a, 0x7e, 0x89, 0xca, 0xb9, 0x46, 0x95, 0xc8, 0xf4, 0xbc, 0xd6,
-        0x6e, 0x61, 0xb9, 0xb9, 0xc9, 0x46, 0xda, 0x8d, 0x52, 0x4d, 0xe3, 0xd6,
-        0x9b, 0xd9, 0xd9, 0xd6, 0x6b, 0x99, 0x7e, 0x37
-    }
+     0x3f, 0x48, 0x2c, 0x8a, 0x9f, 0x19, 0xb0, 0x1e, 0x6c, 0x46, 0xee, 0x97,
+     0x11, 0xd9, 0xdc, 0x14, 0xfd, 0x4b, 0xf6, 0x7a, 0xf3, 0x07, 0x65, 0xc2,
+     0xae, 0x2b, 0x84, 0x6a, 0x4d, 0x23, 0xa8, 0xcd, 0x0d, 0xb8, 0x97, 0x08,
+     0x62, 0x39, 0x49, 0x2c, 0xaf, 0x35, 0x0b, 0x51, 0xf8, 0x33, 0x86, 0x8b,
+     0x9b, 0xc2, 0xb3, 0xbc, 0xa9, 0xcf, 0x41, 0x13}, {
+                                                       0xaa, 0x3b, 0x47, 0x49,
+                                                       0xd5, 0x5b, 0x9d, 0xaf,
+                                                       0x1e, 0x5b, 0x00, 0x28,
+                                                       0x88, 0x26, 0xc4, 0x67,
+                                                       0x27, 0x4c, 0xe3, 0xeb,
+                                                       0xbd, 0xd5, 0xc1, 0x7b,
+                                                       0x97, 0x5e, 0x09, 0xd4,
+                                                       0xaf, 0x6c, 0x67, 0xcf,
+                                                       0x10, 0xd0, 0x87, 0x20,
+                                                       0x2d, 0xb8, 0x82, 0x86,
+                                                       0xe2, 0xb7, 0x9f, 0xce,
+                                                       0xea, 0x3e, 0xc3, 0x53,
+                                                       0xef, 0x54, 0xfa, 0xa2,
+                                                       0x6e, 0x21, 0x9f, 0x38},
+    {
+     0x07, 0x7f, 0x45, 0x36, 0x81, 0xca, 0xca, 0x36, 0x93, 0x19, 0x84, 0x20,
+     0xbb, 0xe5, 0x15, 0xca, 0xe0, 0x00, 0x24, 0x72, 0x51, 0x9b, 0x3e, 0x67,
+     0x66, 0x1a, 0x7e, 0x89, 0xca, 0xb9, 0x46, 0x95, 0xc8, 0xf4, 0xbc, 0xd6,
+     0x6e, 0x61, 0xb9, 0xb9, 0xc9, 0x46, 0xda, 0x8d, 0x52, 0x4d, 0xe3, 0xd6,
+     0x9b, 0xd9, 0xd9, 0xd6, 0x6b, 0x99, 0x7e, 0x37}
 };
 
 /* Test vectors from RFC8032 for Ed448 */
@@ -583,14 +590,13 @@ static const uint8_t *dohash(EVP_MD_CTX *hashctx, const uint8_t *msg,
     static uint8_t hashout[64];
 
     if (!EVP_DigestInit_ex(hashctx, EVP_shake256(), NULL)
-            || !EVP_DigestUpdate(hashctx, msg, msglen)
-            || !EVP_DigestFinalXOF(hashctx, hashout, sizeof(hashout)))
+        || !EVP_DigestUpdate(hashctx, msg, msglen)
+        || !EVP_DigestFinalXOF(hashctx, hashout, sizeof(hashout)))
         return NULL;
 
     return hashout;
 }
 
-
 static int test_eddsa(void)
 {
     uint8_t outsig[114];
@@ -614,7 +620,8 @@ static int test_eddsa(void)
         goto err;
     }
 
-    ED448_sign(outsig, msg3, sizeof(msg3), pubkey3, privkey3, context3, sizeof(context3));
+    ED448_sign(outsig, msg3, sizeof(msg3), pubkey3, privkey3, context3,
+               sizeof(context3));
     if (memcmp(sig3, outsig, sizeof(sig3)) != 0) {
         printf("Calculated sig and expected sig differ (3)\n");
         goto err;
@@ -683,7 +690,7 @@ int main(int argc, char *argv[])
     int j = -1;
 
     if (argc != 1 && (argc != 2 || strcmp(argv[1], "-f") != 0)) {
-        printf ("Usage: curve448_test [-f]\n");
+        printf("Usage: curve448_test [-f]\n");
         return 1;
     }
 
@@ -725,8 +732,9 @@ int main(int argc, char *argv[])
         if (i == 1 || i == 1000 || i == 1000000) {
             j++;
             if (memcmp(out, out_u3[j], sizeof(out)) != 0) {
-                printf("Calculated output and expected output differ (3, %ud)\n",
-                       i);
+                printf
+                    ("Calculated output and expected output differ (3, %ud)\n",
+                     i);
                 return 1;
             }
         }
index b69ecd2615a1ebb4e2ff9fcdd014603799dc988b..edeedef7a223e55cca4dbe08a887667a592d8cd4 100644 (file)
  */
 
 #ifndef __DECAF_COMMON_H__
-#define __DECAF_COMMON_H__ 1
+# define __DECAF_COMMON_H__ 1
 
-#include <openssl/e_os2.h>
+# include <openssl/e_os2.h>
 
 #ifdef __cplusplus
 extern "C" {
 #endif
 
-/* Internal word types.
- *
- * Somewhat tricky.  This could be decided separately per platform.  However,
- * the structs do need to be all the same size and alignment on a given
- * platform to support dynamic linking, since even if you header was built
- * with eg arch_neon, you might end up linking a library built with arch_arm32.
+/*
+ * Internal word types. Somewhat tricky.  This could be decided separately per
+ * platform.  However, the structs do need to be all the same size and
+ * alignment on a given platform to support dynamic linking, since even if you
+ * header was built with eg arch_neon, you might end up linking a library built
+ * with arch_arm32.
  */
-#ifndef DECAF_WORD_BITS
-    #if (defined(__ILP64__) || defined(__amd64__) || defined(__x86_64__) || (((__UINT_FAST32_MAX__)>>30)>>30))
-        #define DECAF_WORD_BITS 64 /**< The number of bits in a word */
-    #else
-        #define DECAF_WORD_BITS 32 /**< The number of bits in a word */
-    #endif
-#endif
-    
-#if DECAF_WORD_BITS == 64
+# ifndef DECAF_WORD_BITS
+#  if (defined(__ILP64__) || defined(__amd64__) || defined(__x86_64__) || (((__UINT_FAST32_MAX__)>>30)>>30))
+#   define DECAF_WORD_BITS 64      /**< The number of bits in a word */
+#  else
+#   define DECAF_WORD_BITS 32      /**< The number of bits in a word */
+#  endif
+# endif
+
+# if DECAF_WORD_BITS == 64
 typedef uint64_t decaf_word_t;      /**< Word size for internal computations */
 typedef int64_t decaf_sword_t;      /**< Signed word size for internal computations */
 typedef uint64_t decaf_bool_t;      /**< "Boolean" type, will be set to all-zero or all-one (i.e. -1u) */
 typedef __uint128_t decaf_dword_t;  /**< Double-word size for internal computations */
 typedef __int128_t decaf_dsword_t;  /**< Signed double-word size for internal computations */
-#elif DECAF_WORD_BITS == 32         /**< The number of bits in a word */
+# elif DECAF_WORD_BITS == 32        /**< The number of bits in a word */
 typedef uint32_t decaf_word_t;      /**< Word size for internal computations */
 typedef int32_t decaf_sword_t;      /**< Signed word size for internal computations */
 typedef uint32_t decaf_bool_t;      /**< "Boolean" type, will be set to all-zero or all-one (i.e. -1u) */
 typedef uint64_t decaf_dword_t;     /**< Double-word size for internal computations */
 typedef int64_t decaf_dsword_t;     /**< Signed double-word size for internal computations */
-#else
-#error "Only supporting DECAF_WORD_BITS = 32 or 64 for now"
-#endif
-    
+# else
+#  error "Only supporting DECAF_WORD_BITS = 32 or 64 for now"
+# endif
+
 /** DECAF_TRUE = -1 so that DECAF_TRUE & x = x */
-static const decaf_bool_t DECAF_TRUE = -(decaf_bool_t)1;
+static const decaf_bool_t DECAF_TRUE = -(decaf_bool_t) 1;
 
 /** DECAF_FALSE = 0 so that DECAF_FALSE & x = 0 */
 static const decaf_bool_t DECAF_FALSE = 0;
@@ -62,22 +62,21 @@ typedef enum {
     DECAF_FAILURE = 0   /**< The operation failed. */
 } decaf_error_t;
 
-
 /** Return success if x is true */
-static ossl_inline decaf_error_t
-decaf_succeed_if(decaf_bool_t x) {
-    return (decaf_error_t)x;
+static ossl_inline decaf_error_t decaf_succeed_if(decaf_bool_t x)
+{
+    return (decaf_error_t) x;
 }
 
 /** Return DECAF_TRUE iff x == DECAF_SUCCESS */
-static ossl_inline decaf_bool_t
-decaf_successful(decaf_error_t e) {
-    decaf_dword_t w = ((decaf_word_t)e) ^  ((decaf_word_t)DECAF_SUCCESS);
-    return (w-1)>>DECAF_WORD_BITS;
+static ossl_inline decaf_bool_t decaf_successful(decaf_error_t e)
+{
+    decaf_dword_t w = ((decaf_word_t) e) ^ ((decaf_word_t) DECAF_SUCCESS);
+    return (w - 1) >> DECAF_WORD_BITS;
 }
-    
+
 #ifdef __cplusplus
 } /* extern "C" */
 #endif
-    
-#endif /* __DECAF_COMMON_H__ */
+
+#endif                          /* __DECAF_COMMON_H__ */
index a3d3029bd79e6f6a401e6c5d6082e033d6290b4a..a8064bec7d8b7a371016fe1b8450d2247edbb523 100644 (file)
  */
 
 #ifndef __DECAF_ED448_H__
-#define __DECAF_ED448_H__ 1
+# define __DECAF_ED448_H__ 1
 
-#include "point_448.h"
+# include "point_448.h"
 
 #ifdef __cplusplus
 extern "C" {
 #endif
 
 /** Number of bytes in an EdDSA public key. */
-#define DECAF_EDDSA_448_PUBLIC_BYTES 57
+# define DECAF_EDDSA_448_PUBLIC_BYTES 57
 
 /** Number of bytes in an EdDSA private key. */
-#define DECAF_EDDSA_448_PRIVATE_BYTES DECAF_EDDSA_448_PUBLIC_BYTES
+# define DECAF_EDDSA_448_PRIVATE_BYTES DECAF_EDDSA_448_PUBLIC_BYTES
 
 /** Number of bytes in an EdDSA private key. */
-#define DECAF_EDDSA_448_SIGNATURE_BYTES (DECAF_EDDSA_448_PUBLIC_BYTES + DECAF_EDDSA_448_PRIVATE_BYTES)
+# define DECAF_EDDSA_448_SIGNATURE_BYTES (DECAF_EDDSA_448_PUBLIC_BYTES + DECAF_EDDSA_448_PRIVATE_BYTES)
 
 /** Does EdDSA support non-contextual signatures? */
-#define DECAF_EDDSA_448_SUPPORTS_CONTEXTLESS_SIGS 0
+# define DECAF_EDDSA_448_SUPPORTS_CONTEXTLESS_SIGS 0
 
 /** EdDSA encoding ratio. */
-#define DECAF_448_EDDSA_ENCODE_RATIO 4
+# define DECAF_448_EDDSA_ENCODE_RATIO 4
 
 /** EdDSA decoding ratio. */
-#define DECAF_448_EDDSA_DECODE_RATIO (4 / 4)
+# define DECAF_448_EDDSA_DECODE_RATIO (4 / 4)
 
 /**
  * @brief EdDSA key generation.  This function uses a different (non-Decaf)
@@ -43,11 +43,14 @@ extern "C" {
  *
  * @param [out] pubkey The public key.
  * @param [in] privkey The private key.
- */    
-decaf_error_t decaf_ed448_derive_public_key (
-    uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t privkey[DECAF_EDDSA_448_PRIVATE_BYTES]
-);
+ */
+decaf_error_t decaf_ed448_derive_public_key(uint8_t
+                                            pubkey
+                                            [DECAF_EDDSA_448_PUBLIC_BYTES],
+                                            const uint8_t
+                                            privkey
+                                            [DECAF_EDDSA_448_PRIVATE_BYTES]
+    );
 
 /**
  * @brief EdDSA signing.
@@ -65,17 +68,17 @@ decaf_error_t decaf_ed448_derive_public_key (
  * messages, at least without some very careful protocol-level disambiguation.  For Ed448 it is
  * safe.  The C++ wrapper is designed to make it harder to screw this up, but this C code gives
  * you no seat belt.
- */  
-decaf_error_t decaf_ed448_sign (
-    uint8_t signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
-    const uint8_t privkey[DECAF_EDDSA_448_PRIVATE_BYTES],
-    const uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t *message,
-    size_t message_len,
-    uint8_t prehashed,
-    const uint8_t *context,
-    size_t context_len
-) __attribute__((nonnull(1,2,3)));
+ */
+decaf_error_t decaf_ed448_sign(uint8_t
+                               signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
+                               const uint8_t
+                               privkey[DECAF_EDDSA_448_PRIVATE_BYTES],
+                               const uint8_t
+                               pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
+                               const uint8_t *message, size_t message_len,
+                               uint8_t prehashed, const uint8_t *context,
+                               size_t context_len)
+    __attribute__ ((nonnull(1, 2, 3)));
 
 /**
  * @brief EdDSA signing with prehash.
@@ -91,15 +94,18 @@ decaf_error_t decaf_ed448_sign (
  * messages, at least without some very careful protocol-level disambiguation.  For Ed448 it is
  * safe.  The C++ wrapper is designed to make it harder to screw this up, but this C code gives
  * you no seat belt.
- */  
-decaf_error_t decaf_ed448_sign_prehash (
-    uint8_t signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
-    const uint8_t privkey[DECAF_EDDSA_448_PRIVATE_BYTES],
-    const uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t hash[64],
-    const uint8_t *context,
-    size_t context_len
-) __attribute__((nonnull(1,2,3,4)));
+ */
+decaf_error_t decaf_ed448_sign_prehash(uint8_t
+                                       signature
+                                       [DECAF_EDDSA_448_SIGNATURE_BYTES],
+                                       const uint8_t
+                                       privkey[DECAF_EDDSA_448_PRIVATE_BYTES],
+                                       const uint8_t
+                                       pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
+                                       const uint8_t hash[64],
+                                       const uint8_t *context,
+                                       size_t context_len)
+    __attribute__ ((nonnull(1, 2, 3, 4)));
 
 /**
  * @brief EdDSA signature verification.
@@ -119,15 +125,14 @@ decaf_error_t decaf_ed448_sign_prehash (
  * safe.  The C++ wrapper is designed to make it harder to screw this up, but this C code gives
  * you no seat belt.
  */
-decaf_error_t decaf_ed448_verify (
-    const uint8_t signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
-    const uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t *message,
-    size_t message_len,
-    uint8_t prehashed,
-    const uint8_t *context,
-    uint8_t context_len
-) __attribute__((nonnull(1,2)));
+decaf_error_t decaf_ed448_verify(const uint8_t
+                                 signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
+                                 const uint8_t
+                                 pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
+                                 const uint8_t *message, size_t message_len,
+                                 uint8_t prehashed, const uint8_t *context,
+                                 uint8_t context_len)
+    __attribute__ ((nonnull(1, 2)));
 
 /**
  * @brief EdDSA signature verification.
@@ -145,13 +150,15 @@ decaf_error_t decaf_ed448_verify (
  * safe.  The C++ wrapper is designed to make it harder to screw this up, but this C code gives
  * you no seat belt.
  */
-decaf_error_t decaf_ed448_verify_prehash (
-    const uint8_t signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
-    const uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t hash[64],
-    const uint8_t *context,
-    uint8_t context_len
-) __attribute__((nonnull(1,2)));
+decaf_error_t decaf_ed448_verify_prehash(const uint8_t
+                                         signature
+                                         [DECAF_EDDSA_448_SIGNATURE_BYTES],
+                                         const uint8_t
+                                         pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
+                                         const uint8_t hash[64],
+                                         const uint8_t *context,
+                                         uint8_t context_len)
+    __attribute__ ((nonnull(1, 2)));
 
 /**
  * @brief EdDSA point encoding.  Used internally, exposed externally.
@@ -176,11 +183,12 @@ decaf_error_t decaf_ed448_verify_prehash (
  *
  * @param [out] enc The encoded point.
  * @param [in] p The point.
- */       
-void curve448_point_mul_by_ratio_and_encode_like_eddsa (
-    uint8_t enc[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const curve448_point_t p
-);
+ */
+void curve448_point_mul_by_ratio_and_encode_like_eddsa(uint8_t
+                                                       enc
+                                                       [DECAF_EDDSA_448_PUBLIC_BYTES],
+                                                       const curve448_point_t
+                                                       p);
 
 /**
  * @brief EdDSA point decoding.  Multiplies by DECAF_448_EDDSA_DECODE_RATIO,
@@ -190,11 +198,13 @@ void curve448_point_mul_by_ratio_and_encode_like_eddsa (
  *
  * @param [out] enc The encoded point.
  * @param [in] p The point.
- */       
-decaf_error_t curve448_point_decode_like_eddsa_and_mul_by_ratio (
-    curve448_point_t p,
-    const uint8_t enc[DECAF_EDDSA_448_PUBLIC_BYTES]
-);
+ */
+decaf_error_t curve448_point_decode_like_eddsa_and_mul_by_ratio(curve448_point_t
+                                                                p,
+                                                                const uint8_t
+                                                                enc
+                                                                [DECAF_EDDSA_448_PUBLIC_BYTES]
+    );
 
 /**
  * @brief EdDSA to ECDH public key conversion
@@ -207,10 +217,10 @@ decaf_error_t curve448_point_decode_like_eddsa_and_mul_by_ratio (
  * @param[out] x The ECDH public key as in RFC7748(point on Montgomery curve)
  * @param[in] ed The EdDSA public key(point on Edwards curve)
  */
-void decaf_ed448_convert_public_key_to_x448 (
-    uint8_t x[DECAF_X448_PUBLIC_BYTES],
-    const uint8_t ed[DECAF_EDDSA_448_PUBLIC_BYTES]
-);
+void decaf_ed448_convert_public_key_to_x448(uint8_t x[DECAF_X448_PUBLIC_BYTES],
+                                            const uint8_t
+                                            ed[DECAF_EDDSA_448_PUBLIC_BYTES]
+    );
 
 /**
  * @brief EdDSA to ECDH private key conversion
@@ -220,13 +230,16 @@ void decaf_ed448_convert_public_key_to_x448 (
  * @param[out] x The ECDH private key as in RFC7748
  * @param[in] ed The EdDSA private key
  */
-decaf_error_t decaf_ed448_convert_private_key_to_x448 (
-    uint8_t x[DECAF_X448_PRIVATE_BYTES],
-    const uint8_t ed[DECAF_EDDSA_448_PRIVATE_BYTES]
-);
+decaf_error_t decaf_ed448_convert_private_key_to_x448(uint8_t
+                                                      x
+                                                      [DECAF_X448_PRIVATE_BYTES],
+                                                      const uint8_t
+                                                      ed
+                                                      [DECAF_EDDSA_448_PRIVATE_BYTES]
+    );
 
 #ifdef __cplusplus
 } /* extern "C" */
 #endif
 
-#endif /* __DECAF_ED448_H__ */
+#endif                          /* __DECAF_ED448_H__ */
index 27f1fd5d0fde385286e00ecae9b89727ad3b1205..0bf9b23cbfe3b3816afe9b8aea4447f9789ccbc8 100644 (file)
 
 #if NO_CONTEXT
 const uint8_t NO_CONTEXT_POINTS_HERE = 0;
-const uint8_t * const DECAF_ED448_NO_CONTEXT = &NO_CONTEXT_POINTS_HERE;
+const uint8_t *const DECAF_ED448_NO_CONTEXT = &NO_CONTEXT_POINTS_HERE;
 #endif
 
-/* EDDSA_BASE_POINT_RATIO = 1 or 2
- * Because EdDSA25519 is not on E_d but on the isogenous E_sigma_d,
- * its base point is twice ours.
+/*
+ * EDDSA_BASE_POINT_RATIO = 1 or 2 Because EdDSA25519 is not on E_d but on the
+ * isogenous E_sigma_d, its base point is twice ours.
  */
 #define EDDSA_BASE_POINT_RATIO (1+EDDSA_USE_SIGMA_ISOGENY) /* TODO: remove */
 
@@ -45,8 +45,8 @@ static decaf_error_t oneshot_hash(uint8_t *out, size_t outlen,
         return DECAF_FAILURE;
 
     if (!EVP_DigestInit_ex(hashctx, EVP_shake256(), NULL)
-            || !EVP_DigestUpdate(hashctx, in, inlen)
-            || !EVP_DigestFinalXOF(hashctx, out, outlen)) {
+        || !EVP_DigestUpdate(hashctx, in, inlen)
+        || !EVP_DigestFinalXOF(hashctx, out, outlen)) {
         EVP_MD_CTX_free(hashctx);
         return DECAF_FAILURE;
     }
@@ -55,11 +55,10 @@ static decaf_error_t oneshot_hash(uint8_t *out, size_t outlen,
     return DECAF_SUCCESS;
 }
 
-
-static void clamp (
-    uint8_t secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES]
-) {
-    uint8_t hibit = (1<<0)>>1;
+static void clamp(uint8_t secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES]
+    )
+{
+    uint8_t hibit = (1 << 0) >> 1;
 
     /* Blarg */
     secret_scalar_ser[0] &= -COFACTOR;
@@ -67,18 +66,17 @@ static void clamp (
         secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES - 1] = 0;
         secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES - 2] |= 0x80;
     } else {
-        secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES - 1] &= hibit-1;
+        secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES - 1] &= hibit - 1;
         secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES - 1] |= hibit;
     }
 }
 
-static decaf_error_t hash_init_with_dom(
-    EVP_MD_CTX *hashctx,
-    uint8_t prehashed,
-    uint8_t for_prehash,
-    const uint8_t *context,
-    size_t context_len
-) {
+static decaf_error_t hash_init_with_dom(EVP_MD_CTX *hashctx,
+                                        uint8_t prehashed,
+                                        uint8_t for_prehash,
+                                        const uint8_t *context,
+                                        size_t context_len)
+{
     const char *dom_s = "SigEd448";
     uint8_t dom[2];
 
@@ -99,33 +97,38 @@ static decaf_error_t hash_init_with_dom(
 #endif
 
     if (!EVP_DigestInit_ex(hashctx, EVP_shake256(), NULL)
-            || !EVP_DigestUpdate(hashctx, dom_s, strlen(dom_s))
-            || !EVP_DigestUpdate(hashctx, dom, sizeof(dom))
-            || !EVP_DigestUpdate(hashctx, context, context_len))
+        || !EVP_DigestUpdate(hashctx, dom_s, strlen(dom_s))
+        || !EVP_DigestUpdate(hashctx, dom, sizeof(dom))
+        || !EVP_DigestUpdate(hashctx, context, context_len))
         return DECAF_FAILURE;
 
     return DECAF_SUCCESS;
 }
 
 /* In this file because it uses the hash */
-decaf_error_t decaf_ed448_convert_private_key_to_x448 (
-    uint8_t x[DECAF_X448_PRIVATE_BYTES],
-    const uint8_t ed[DECAF_EDDSA_448_PRIVATE_BYTES]
-) {
+decaf_error_t decaf_ed448_convert_private_key_to_x448(uint8_t
+                                                      x
+                                                      [DECAF_X448_PRIVATE_BYTES],
+                                                      const uint8_t
+                                                      ed
+                                                      [DECAF_EDDSA_448_PRIVATE_BYTES]
+    )
+{
     /* pass the private key through oneshot_hash function */
     /* and keep the first DECAF_X448_PRIVATE_BYTES bytes */
-    return oneshot_hash(
-        x,
-        DECAF_X448_PRIVATE_BYTES,
-        ed,
-        DECAF_EDDSA_448_PRIVATE_BYTES
-    );
+    return oneshot_hash(x,
+                        DECAF_X448_PRIVATE_BYTES,
+                        ed, DECAF_EDDSA_448_PRIVATE_BYTES);
 }
-    
-decaf_error_t decaf_ed448_derive_public_key (
-    uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t privkey[DECAF_EDDSA_448_PRIVATE_BYTES]
-) {
+
+decaf_error_t decaf_ed448_derive_public_key(uint8_t
+                                            pubkey
+                                            [DECAF_EDDSA_448_PUBLIC_BYTES],
+                                            const uint8_t
+                                            privkey
+                                            [DECAF_EDDSA_448_PRIVATE_BYTES]
+    )
+{
     /* only this much used for keygen */
     uint8_t secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES];
     curve448_scalar_t secret_scalar;
@@ -138,22 +141,25 @@ decaf_error_t decaf_ed448_derive_public_key (
     }
     clamp(secret_scalar_ser);
 
-    curve448_scalar_decode_long(secret_scalar, secret_scalar_ser, sizeof(secret_scalar_ser));
-    
-    /* Since we are going to mul_by_cofactor during encoding, divide by it here.
-     * However, the EdDSA base point is not the same as the decaf base point if
-     * the sigma isogeny is in use: the EdDSA base point is on Etwist_d/(1-d) and
-     * the decaf base point is on Etwist_d, and when converted it effectively
-     * picks up a factor of 2 from the isogenies.  So we might start at 2 instead of 1. 
+    curve448_scalar_decode_long(secret_scalar, secret_scalar_ser,
+                                sizeof(secret_scalar_ser));
+
+    /*
+     * Since we are going to mul_by_cofactor during encoding, divide by it
+     * here. However, the EdDSA base point is not the same as the decaf base
+     * point if the sigma isogeny is in use: the EdDSA base point is on
+     * Etwist_d/(1-d) and the decaf base point is on Etwist_d, and when
+     * converted it effectively picks up a factor of 2 from the isogenies.  So
+     * we might start at 2 instead of 1.
      */
-    for (c=1; c<DECAF_448_EDDSA_ENCODE_RATIO; c <<= 1) {
-        curve448_scalar_halve(secret_scalar,secret_scalar);
+    for (c = 1; c < DECAF_448_EDDSA_ENCODE_RATIO; c <<= 1) {
+        curve448_scalar_halve(secret_scalar, secret_scalar);
     }
-    
-    curve448_precomputed_scalarmul(p,curve448_precomputed_base,secret_scalar);
-    
+
+    curve448_precomputed_scalarmul(p, curve448_precomputed_base, secret_scalar);
+
     curve448_point_mul_by_ratio_and_encode_like_eddsa(pubkey, p);
-        
+
     /* Cleanup */
     curve448_scalar_destroy(secret_scalar);
     curve448_point_destroy(p);
@@ -162,21 +168,21 @@ decaf_error_t decaf_ed448_derive_public_key (
     return DECAF_SUCCESS;
 }
 
-decaf_error_t decaf_ed448_sign (
-    uint8_t signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
-    const uint8_t privkey[DECAF_EDDSA_448_PRIVATE_BYTES],
-    const uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t *message,
-    size_t message_len,
-    uint8_t prehashed,
-    const uint8_t *context,
-    size_t context_len
-{
+decaf_error_t decaf_ed448_sign(uint8_t
+                               signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
+                               const uint8_t
+                               privkey[DECAF_EDDSA_448_PRIVATE_BYTES],
+                               const uint8_t
+                               pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
+                               const uint8_t *message, size_t message_len,
+                               uint8_t prehashed, const uint8_t *context,
+                               size_t context_len)
+{
     curve448_scalar_t secret_scalar;
     EVP_MD_CTX *hashctx = EVP_MD_CTX_new();
     decaf_error_t ret = DECAF_FAILURE;
     curve448_scalar_t nonce_scalar;
-    uint8_t nonce_point[DECAF_EDDSA_448_PUBLIC_BYTES] = {0};
+    uint8_t nonce_point[DECAF_EDDSA_448_PUBLIC_BYTES] = { 0 };
     unsigned int c;
     curve448_scalar_t challenge_scalar;
 
@@ -188,28 +194,28 @@ decaf_error_t decaf_ed448_sign (
         struct {
             uint8_t secret_scalar_ser[DECAF_EDDSA_448_PRIVATE_BYTES];
             uint8_t seed[DECAF_EDDSA_448_PRIVATE_BYTES];
-        } __attribute__((packed)) expanded;
+        } __attribute__ ((packed)) expanded;
 
         if (!oneshot_hash((uint8_t *)&expanded, sizeof(expanded), privkey,
                           DECAF_EDDSA_448_PRIVATE_BYTES))
             goto err;
-        clamp(expanded.secret_scalar_ser);   
-        curve448_scalar_decode_long(secret_scalar, expanded.secret_scalar_ser, sizeof(expanded.secret_scalar_ser));
-    
+        clamp(expanded.secret_scalar_ser);
+        curve448_scalar_decode_long(secret_scalar, expanded.secret_scalar_ser,
+                                    sizeof(expanded.secret_scalar_ser));
+
         /* Hash to create the nonce */
         if (!hash_init_with_dom(hashctx, prehashed, 0, context, context_len)
-                || !EVP_DigestUpdate(hashctx, expanded.seed,
-                                     sizeof(expanded.seed))
-                || !EVP_DigestUpdate(hashctx, message, message_len)) {
+            || !EVP_DigestUpdate(hashctx, expanded.seed, sizeof(expanded.seed))
+            || !EVP_DigestUpdate(hashctx, message, message_len)) {
             OPENSSL_cleanse(&expanded, sizeof(expanded));
             goto err;
         }
         OPENSSL_cleanse(&expanded, sizeof(expanded));
     }
-    
+
     /* Decode the nonce */
     {
-        uint8_t nonce[2*DECAF_EDDSA_448_PRIVATE_BYTES];
+        uint8_t nonce[2 * DECAF_EDDSA_448_PRIVATE_BYTES];
 
         if (!EVP_DigestFinalXOF(hashctx, nonce, sizeof(nonce)))
             goto err;
@@ -222,40 +228,42 @@ decaf_error_t decaf_ed448_sign (
         curve448_scalar_t nonce_scalar_2;
         curve448_point_t p;
 
-        curve448_scalar_halve(nonce_scalar_2,nonce_scalar);
+        curve448_scalar_halve(nonce_scalar_2, nonce_scalar);
         for (c = 2; c < DECAF_448_EDDSA_ENCODE_RATIO; c <<= 1) {
-            curve448_scalar_halve(nonce_scalar_2,nonce_scalar_2);
+            curve448_scalar_halve(nonce_scalar_2, nonce_scalar_2);
         }
 
-        curve448_precomputed_scalarmul(p,curve448_precomputed_base,nonce_scalar_2);
+        curve448_precomputed_scalarmul(p, curve448_precomputed_base,
+                                       nonce_scalar_2);
         curve448_point_mul_by_ratio_and_encode_like_eddsa(nonce_point, p);
         curve448_point_destroy(p);
         curve448_scalar_destroy(nonce_scalar_2);
     }
 
     {
-        uint8_t challenge[2*DECAF_EDDSA_448_PRIVATE_BYTES];
+        uint8_t challenge[2 * DECAF_EDDSA_448_PRIVATE_BYTES];
 
         /* Compute the challenge */
         if (!hash_init_with_dom(hashctx, prehashed, 0, context, context_len)
-                || !EVP_DigestUpdate(hashctx, nonce_point, sizeof(nonce_point))
-                || !EVP_DigestUpdate(hashctx, pubkey,
-                                     DECAF_EDDSA_448_PUBLIC_BYTES)
-                || !EVP_DigestUpdate(hashctx, message, message_len)
-                || !EVP_DigestFinalXOF(hashctx, challenge, sizeof(challenge)))
+            || !EVP_DigestUpdate(hashctx, nonce_point, sizeof(nonce_point))
+            || !EVP_DigestUpdate(hashctx, pubkey, DECAF_EDDSA_448_PUBLIC_BYTES)
+            || !EVP_DigestUpdate(hashctx, message, message_len)
+            || !EVP_DigestFinalXOF(hashctx, challenge, sizeof(challenge)))
             goto err;
 
-        curve448_scalar_decode_long(challenge_scalar,challenge,sizeof(challenge));
-        OPENSSL_cleanse(challenge,sizeof(challenge));
+        curve448_scalar_decode_long(challenge_scalar, challenge,
+                                    sizeof(challenge));
+        OPENSSL_cleanse(challenge, sizeof(challenge));
     }
-    
-    curve448_scalar_mul(challenge_scalar,challenge_scalar,secret_scalar);
-    curve448_scalar_add(challenge_scalar,challenge_scalar,nonce_scalar);
-    
-    OPENSSL_cleanse(signature,DECAF_EDDSA_448_SIGNATURE_BYTES);
-    memcpy(signature,nonce_point,sizeof(nonce_point));
-    curve448_scalar_encode(&signature[DECAF_EDDSA_448_PUBLIC_BYTES],challenge_scalar);
-    
+
+    curve448_scalar_mul(challenge_scalar, challenge_scalar, secret_scalar);
+    curve448_scalar_add(challenge_scalar, challenge_scalar, nonce_scalar);
+
+    OPENSSL_cleanse(signature, DECAF_EDDSA_448_SIGNATURE_BYTES);
+    memcpy(signature, nonce_point, sizeof(nonce_point));
+    curve448_scalar_encode(&signature[DECAF_EDDSA_448_PUBLIC_BYTES],
+                           challenge_scalar);
+
     curve448_scalar_destroy(secret_scalar);
     curve448_scalar_destroy(nonce_scalar);
     curve448_scalar_destroy(challenge_scalar);
@@ -266,97 +274,103 @@ decaf_error_t decaf_ed448_sign (
     return ret;
 }
 
-
-decaf_error_t decaf_ed448_sign_prehash (
-    uint8_t signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
-    const uint8_t privkey[DECAF_EDDSA_448_PRIVATE_BYTES],
-    const uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t hash[64],
-    const uint8_t *context,
-    size_t context_len
-) {
-    return decaf_ed448_sign(signature,privkey,pubkey,hash,64,1,context,
+decaf_error_t decaf_ed448_sign_prehash(uint8_t
+                                       signature
+                                       [DECAF_EDDSA_448_SIGNATURE_BYTES],
+                                       const uint8_t
+                                       privkey[DECAF_EDDSA_448_PRIVATE_BYTES],
+                                       const uint8_t
+                                       pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
+                                       const uint8_t hash[64],
+                                       const uint8_t *context,
+                                       size_t context_len)
+{
+    return decaf_ed448_sign(signature, privkey, pubkey, hash, 64, 1, context,
                             context_len);
-    /*OPENSSL_cleanse(hash,sizeof(hash));*/
+    /*
+     * OPENSSL_cleanse(hash,sizeof(hash));
+     */
 }
 
-decaf_error_t decaf_ed448_verify (
-    const uint8_t signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
-    const uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t *message,
-    size_t message_len,
-    uint8_t prehashed,
-    const uint8_t *context,
-    uint8_t context_len
-) { 
+decaf_error_t decaf_ed448_verify(const uint8_t
+                                 signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
+                                 const uint8_t
+                                 pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
+                                 const uint8_t *message, size_t message_len,
+                                 uint8_t prehashed, const uint8_t *context,
+                                 uint8_t context_len)
+{
     curve448_point_t pk_point, r_point;
-    decaf_error_t error = curve448_point_decode_like_eddsa_and_mul_by_ratio(pk_point,pubkey);
+    decaf_error_t error =
+        curve448_point_decode_like_eddsa_and_mul_by_ratio(pk_point, pubkey);
     curve448_scalar_t challenge_scalar;
     curve448_scalar_t response_scalar;
     unsigned int c;
 
-    if (DECAF_SUCCESS != error) { return error; }
-    
-    error = curve448_point_decode_like_eddsa_and_mul_by_ratio(r_point,signature);
-    if (DECAF_SUCCESS != error) { return error; }
-    
+    if (DECAF_SUCCESS != error) {
+        return error;
+    }
+
+    error =
+        curve448_point_decode_like_eddsa_and_mul_by_ratio(r_point, signature);
+    if (DECAF_SUCCESS != error) {
+        return error;
+    }
+
     {
         /* Compute the challenge */
         EVP_MD_CTX *hashctx = EVP_MD_CTX_new();
-        uint8_t challenge[2*DECAF_EDDSA_448_PRIVATE_BYTES];
+        uint8_t challenge[2 * DECAF_EDDSA_448_PRIVATE_BYTES];
 
         if (hashctx == NULL
-                || !hash_init_with_dom(hashctx, prehashed, 0, context,
-                                       context_len)
-                || !EVP_DigestUpdate(hashctx, signature,
-                                     DECAF_EDDSA_448_PUBLIC_BYTES)
-                || !EVP_DigestUpdate(hashctx, pubkey,
-                                     DECAF_EDDSA_448_PUBLIC_BYTES)
-                || !EVP_DigestUpdate(hashctx, message, message_len)
-                || !EVP_DigestFinalXOF(hashctx, challenge, sizeof(challenge))) {
+            || !hash_init_with_dom(hashctx, prehashed, 0, context, context_len)
+            || !EVP_DigestUpdate(hashctx, signature,
+                                 DECAF_EDDSA_448_PUBLIC_BYTES)
+            || !EVP_DigestUpdate(hashctx, pubkey, DECAF_EDDSA_448_PUBLIC_BYTES)
+            || !EVP_DigestUpdate(hashctx, message, message_len)
+            || !EVP_DigestFinalXOF(hashctx, challenge, sizeof(challenge))) {
             EVP_MD_CTX_free(hashctx);
             return DECAF_FAILURE;
         }
 
         EVP_MD_CTX_free(hashctx);
-        curve448_scalar_decode_long(challenge_scalar,challenge,sizeof(challenge));
-        OPENSSL_cleanse(challenge,sizeof(challenge));
+        curve448_scalar_decode_long(challenge_scalar, challenge,
+                                    sizeof(challenge));
+        OPENSSL_cleanse(challenge, sizeof(challenge));
     }
-    curve448_scalar_sub(challenge_scalar, curve448_scalar_zero, challenge_scalar);
-
-    curve448_scalar_decode_long(
-        response_scalar,
-        &signature[DECAF_EDDSA_448_PUBLIC_BYTES],
-        DECAF_EDDSA_448_PRIVATE_BYTES
-    );
-    
-    for (c=1; c<DECAF_448_EDDSA_DECODE_RATIO; c<<=1) {
-        curve448_scalar_add(response_scalar,response_scalar,response_scalar);
+    curve448_scalar_sub(challenge_scalar, curve448_scalar_zero,
+                        challenge_scalar);
+
+    curve448_scalar_decode_long(response_scalar,
+                                &signature[DECAF_EDDSA_448_PUBLIC_BYTES],
+                                DECAF_EDDSA_448_PRIVATE_BYTES);
+
+    for (c = 1; c < DECAF_448_EDDSA_DECODE_RATIO; c <<= 1) {
+        curve448_scalar_add(response_scalar, response_scalar, response_scalar);
     }
-    
-    
+
     /* pk_point = -c(x(P)) + (cx + k)G = kG */
-    curve448_base_double_scalarmul_non_secret(
-        pk_point,
-        response_scalar,
-        pk_point,
-        challenge_scalar
-    );
-    return decaf_succeed_if(curve448_point_eq(pk_point,r_point));
+    curve448_base_double_scalarmul_non_secret(pk_point,
+                                              response_scalar,
+                                              pk_point, challenge_scalar);
+    return decaf_succeed_if(curve448_point_eq(pk_point, r_point));
 }
 
-
-decaf_error_t decaf_ed448_verify_prehash (
-    const uint8_t signature[DECAF_EDDSA_448_SIGNATURE_BYTES],
-    const uint8_t pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
-    const uint8_t hash[64],
-    const uint8_t *context,
-    uint8_t context_len
-) {
+decaf_error_t decaf_ed448_verify_prehash(const uint8_t
+                                         signature
+                                         [DECAF_EDDSA_448_SIGNATURE_BYTES],
+                                         const uint8_t
+                                         pubkey[DECAF_EDDSA_448_PUBLIC_BYTES],
+                                         const uint8_t hash[64],
+                                         const uint8_t *context,
+                                         uint8_t context_len)
+{
     decaf_error_t ret;
-    
-    ret = decaf_ed448_verify(signature,pubkey,hash,64,1,context,context_len);
-    
+
+    ret =
+        decaf_ed448_verify(signature, pubkey, hash, 64, 1, context,
+                           context_len);
+
     return ret;
 }
 
@@ -367,10 +381,9 @@ int ED448_sign(uint8_t *out_sig, const uint8_t *message, size_t message_len,
 
     return decaf_ed448_sign(out_sig, private_key, public_key, message,
                             message_len, 0, context, context_len)
-                            == DECAF_SUCCESS;
+        == DECAF_SUCCESS;
 }
 
-
 int ED448_verify(const uint8_t *message, size_t message_len,
                  const uint8_t signature[114], const uint8_t public_key[57],
                  const uint8_t *context, size_t context_len)
@@ -397,8 +410,8 @@ int ED448ph_verify(const uint8_t hash[64], const uint8_t signature[114],
 }
 
 int ED448_public_from_private(uint8_t out_public_key[57],
-                               const uint8_t private_key[57])
+                              const uint8_t private_key[57])
 {
     return decaf_ed448_derive_public_key(out_public_key, private_key)
-           == DECAF_SUCCESS;
+        == DECAF_SUCCESS;
 }
index 1e824e24334bcbc81232e23a1b5f35f17f5da85b..e8c5738d07aaef2c64302690b7094b3cf39b2e6d 100644 (file)
 
 #include "field.h"
 
-mask_t gf_isr (
-    gf a,
-    const gf x
-) {
+mask_t gf_isr(gf a, const gf x)
+{
     gf L0, L1, L2;
-    gf_sqr  (L1,     x );
-    gf_mul  (L2,     x,   L1 );
-    gf_sqr  (L1,   L2 );
-    gf_mul  (L2,     x,   L1 );
-    gf_sqrn (L1,   L2,     3 );
-    gf_mul  (L0,   L2,   L1 );
-    gf_sqrn (L1,   L0,     3 );
-    gf_mul  (L0,   L2,   L1 );
-    gf_sqrn (L2,   L0,     9 );
-    gf_mul  (L1,   L0,   L2 );
-    gf_sqr  (L0,   L1 );
-    gf_mul  (L2,     x,   L0 );
-    gf_sqrn (L0,   L2,    18 );
-    gf_mul  (L2,   L1,   L0 );
-    gf_sqrn (L0,   L2,    37 );
-    gf_mul  (L1,   L2,   L0 );
-    gf_sqrn (L0,   L1,    37 );
-    gf_mul  (L1,   L2,   L0 );
-    gf_sqrn (L0,   L1,   111 );
-    gf_mul  (L2,   L1,   L0 );
-    gf_sqr  (L0,   L2 );
-    gf_mul  (L1,     x,   L0 );
-    gf_sqrn (L0,   L1,   223 );
-    gf_mul  (L1,   L2,   L0 );
-    gf_sqr  (L2, L1);
-    gf_mul  (L0, L2, x);
-    gf_copy(a,L1);
-    return gf_eq(L0,ONE);
+    gf_sqr(L1, x);
+    gf_mul(L2, x, L1);
+    gf_sqr(L1, L2);
+    gf_mul(L2, x, L1);
+    gf_sqrn(L1, L2, 3);
+    gf_mul(L0, L2, L1);
+    gf_sqrn(L1, L0, 3);
+    gf_mul(L0, L2, L1);
+    gf_sqrn(L2, L0, 9);
+    gf_mul(L1, L0, L2);
+    gf_sqr(L0, L1);
+    gf_mul(L2, x, L0);
+    gf_sqrn(L0, L2, 18);
+    gf_mul(L2, L1, L0);
+    gf_sqrn(L0, L2, 37);
+    gf_mul(L1, L2, L0);
+    gf_sqrn(L0, L1, 37);
+    gf_mul(L1, L2, L0);
+    gf_sqrn(L0, L1, 111);
+    gf_mul(L2, L1, L0);
+    gf_sqr(L0, L2);
+    gf_mul(L1, x, L0);
+    gf_sqrn(L0, L1, 223);
+    gf_mul(L1, L2, L0);
+    gf_sqr(L2, L1);
+    gf_mul(L0, L2, x);
+    gf_copy(a, L1);
+    return gf_eq(L0, ONE);
 }
index f7c5e8a2d72a107a2d9ec97471b66749d3c0a61d..46897f1a60b5a6787747afdf326c9e60a1e89b89 100644 (file)
  */
 
 #ifndef __P448_F_FIELD_H__
-#define __P448_F_FIELD_H__ 1
+# define __P448_F_FIELD_H__ 1
 
-#include "constant_time.h"
-#include <string.h>
-#include <assert.h>
+# include "constant_time.h"
+# include <string.h>
+# include <assert.h>
 
-#include "word.h"
+# include "word.h"
 
-#define __DECAF_448_GF_DEFINED__ 1
-#define NLIMBS (64/sizeof(word_t))
-#define X_SER_BYTES 56
-#define SER_BYTES 56
+# define __DECAF_448_GF_DEFINED__ 1
+# define NLIMBS (64/sizeof(word_t))
+# define X_SER_BYTES 56
+# define SER_BYTES 56
 typedef struct gf_448_s {
     word_t limb[NLIMBS];
-} __attribute__((aligned(32))) gf_448_s, gf_448_t[1];
-
-#define GF_LIT_LIMB_BITS  56
-#define GF_BITS           448
-#define ZERO              gf_448_ZERO
-#define ONE               gf_448_ONE
-#define MODULUS           gf_448_MODULUS
-#define gf                gf_448_t
-#define gf_s              gf_448_s
-#define gf_eq             gf_448_eq
-#define gf_hibit          gf_448_hibit
-#define gf_lobit          gf_448_lobit
-#define gf_copy           gf_448_copy
-#define gf_add            gf_448_add
-#define gf_sub            gf_448_sub
-#define gf_add_RAW        gf_448_add_RAW
-#define gf_sub_RAW        gf_448_sub_RAW
-#define gf_bias           gf_448_bias
-#define gf_weak_reduce    gf_448_weak_reduce
-#define gf_strong_reduce  gf_448_strong_reduce
-#define gf_mul            gf_448_mul
-#define gf_sqr            gf_448_sqr
-#define gf_mulw_unsigned  gf_448_mulw_unsigned
-#define gf_isr            gf_448_isr
-#define gf_serialize      gf_448_serialize
-#define gf_deserialize    gf_448_deserialize
+} __attribute__ ((aligned(32))) gf_448_s, gf_448_t[1];
+
+# define GF_LIT_LIMB_BITS  56
+# define GF_BITS           448
+# define ZERO              gf_448_ZERO
+# define ONE               gf_448_ONE
+# define MODULUS           gf_448_MODULUS
+# define gf                gf_448_t
+# define gf_s              gf_448_s
+# define gf_eq             gf_448_eq
+# define gf_hibit          gf_448_hibit
+# define gf_lobit          gf_448_lobit
+# define gf_copy           gf_448_copy
+# define gf_add            gf_448_add
+# define gf_sub            gf_448_sub
+# define gf_add_RAW        gf_448_add_RAW
+# define gf_sub_RAW        gf_448_sub_RAW
+# define gf_bias           gf_448_bias
+# define gf_weak_reduce    gf_448_weak_reduce
+# define gf_strong_reduce  gf_448_strong_reduce
+# define gf_mul            gf_448_mul
+# define gf_sqr            gf_448_sqr
+# define gf_mulw_unsigned  gf_448_mulw_unsigned
+# define gf_isr            gf_448_isr
+# define gf_serialize      gf_448_serialize
+# define gf_deserialize    gf_448_deserialize
 
 /* RFC 7748 support */
-#define X_PUBLIC_BYTES  X_SER_BYTES
-#define X_PRIVATE_BYTES X_PUBLIC_BYTES
-#define X_PRIVATE_BITS  448
+# define X_PUBLIC_BYTES  X_SER_BYTES
+# define X_PRIVATE_BYTES X_PUBLIC_BYTES
+# define X_PRIVATE_BITS  448
 
-#define INLINE_UNUSED __inline__ __attribute__((unused,always_inline))
+# define INLINE_UNUSED __inline__ __attribute__((unused,always_inline))
 
 #ifdef __cplusplus
 extern "C" {
 #endif
 
 /* Defined below in f_impl.h */
-static INLINE_UNUSED void gf_copy (gf out, const gf a) { *out = *a; }
-static INLINE_UNUSED void gf_add_RAW (gf out, const gf a, const gf b);
-static INLINE_UNUSED void gf_sub_RAW (gf out, const gf a, const gf b);
-static INLINE_UNUSED void gf_bias (gf inout, int amount);
-static INLINE_UNUSED void gf_weak_reduce (gf inout);
-
-void gf_strong_reduce (gf inout);   
-void gf_add (gf out, const gf a, const gf b);
-void gf_sub (gf out, const gf a, const gf b);
-void gf_mul (gf_s *__restrict__ out, const gf a, const gf b);
-void gf_mulw_unsigned (gf_s *__restrict__ out, const gf a, uint32_t b);
-void gf_sqr (gf_s *__restrict__ out, const gf a);
+static INLINE_UNUSED void gf_copy(gf out, const gf a)
+{
+    *out = *a;
+}
+
+static INLINE_UNUSED void gf_add_RAW(gf out, const gf a, const gf b);
+static INLINE_UNUSED void gf_sub_RAW(gf out, const gf a, const gf b);
+static INLINE_UNUSED void gf_bias(gf inout, int amount);
+static INLINE_UNUSED void gf_weak_reduce(gf inout);
+
+void gf_strong_reduce(gf inout);
+void gf_add(gf out, const gf a, const gf b);
+void gf_sub(gf out, const gf a, const gf b);
+void gf_mul(gf_s * __restrict__ out, const gf a, const gf b);
+void gf_mulw_unsigned(gf_s * __restrict__ out, const gf a, uint32_t b);
+void gf_sqr(gf_s * __restrict__ out, const gf a);
 mask_t gf_isr(gf a, const gf x); /** a^2 x = 1, QNR, or 0 if x=0.  Return true if successful */
-mask_t gf_eq (const gf x, const gf y);
-mask_t gf_lobit (const gf x);
-mask_t gf_hibit (const gf x);
+mask_t gf_eq(const gf x, const gf y);
+mask_t gf_lobit(const gf x);
+mask_t gf_hibit(const gf x);
 
-void gf_serialize (uint8_t *serial, const gf x,int with_highbit);
-mask_t gf_deserialize (gf x, const uint8_t serial[SER_BYTES],int with_hibit,uint8_t hi_nmask);
+void gf_serialize(uint8_t *serial, const gf x, int with_highbit);
+mask_t gf_deserialize(gf x, const uint8_t serial[SER_BYTES], int with_hibit,
+                      uint8_t hi_nmask);
 
 
 #ifdef __cplusplus
 } /* extern "C" */
 #endif
 
-#include "f_impl.h" /* Bring in the inline implementations */
+# include "f_impl.h"            /* Bring in the inline implementations */
 
-#ifndef LIMBPERM
-  #define LIMBPERM(i) (i)
-#endif
-#define LIMB_MASK(i) (((1)<<LIMB_PLACE_VALUE(i))-1)
+# ifndef LIMBPERM
+#  define LIMBPERM(i) (i)
+# endif
+# define LIMB_MASK(i) (((1)<<LIMB_PLACE_VALUE(i))-1)
 
-static const gf ZERO = {{{0}}}, ONE = {{{1}}};
+static const gf ZERO = { {{0}} }, ONE = { { {
+1}}};
 
-#endif /* __P448_F_FIELD_H__ */
+#endif                          /* __P448_F_FIELD_H__ */
index 1f296247be45c8aeb4bc93bf94cf60b01641748e..fa60b746b574abb4f87430637e961de64641b331 100644 (file)
  */
 #include "field.h"
 
-static const gf MODULUS = {FIELD_LITERAL(
-    0xffffffffffffff, 0xffffffffffffff, 0xffffffffffffff, 0xffffffffffffff, 0xfffffffffffffe, 0xffffffffffffff, 0xffffffffffffff, 0xffffffffffffff
-)};
+static const gf MODULUS =
+    { FIELD_LITERAL(0xffffffffffffff, 0xffffffffffffff, 0xffffffffffffff,
+                    0xffffffffffffff, 0xfffffffffffffe, 0xffffffffffffff,
+                    0xffffffffffffff, 0xffffffffffffff)
+};
 
 /** Serialize to wire format. */
-void gf_serialize (uint8_t serial[SER_BYTES], const gf x, int with_hibit) {
-    unsigned int j=0, fill=0;
+void gf_serialize(uint8_t serial[SER_BYTES], const gf x, int with_hibit)
+{
+    unsigned int j = 0, fill = 0;
     dword_t buffer = 0;
     unsigned int i;
     gf red;
 
     gf_copy(red, x);
     gf_strong_reduce(red);
-    if (!with_hibit) { assert(gf_hibit(red) == 0); }
+    if (!with_hibit) {
+        assert(gf_hibit(red) == 0);
+    }
 
-    UNROLL for (i=0; i<(with_hibit ? X_SER_BYTES : SER_BYTES); i++) {
+    UNROLL for (i = 0; i < (with_hibit ? X_SER_BYTES : SER_BYTES); i++) {
         if (fill < 8 && j < NLIMBS) {
-            buffer |= ((dword_t)red->limb[LIMBPERM(j)]) << fill;
+            buffer |= ((dword_t) red->limb[LIMBPERM(j)]) << fill;
             fill += LIMB_PLACE_VALUE(LIMBPERM(j));
             j++;
         }
@@ -39,78 +44,90 @@ void gf_serialize (uint8_t serial[SER_BYTES], const gf x, int with_hibit) {
 }
 
 /** Return high bit of x = low bit of 2x mod p */
-mask_t gf_hibit(const gf x) {
+mask_t gf_hibit(const gf x)
+{
     gf y;
-    gf_add(y,x,x);
+    gf_add(y, x, x);
     gf_strong_reduce(y);
-    return -(y->limb[0]&1);
+    return -(y->limb[0] & 1);
 }
 
 /** Return high bit of x = low bit of 2x mod p */
-mask_t gf_lobit(const gf x) {
+mask_t gf_lobit(const gf x)
+{
     gf y;
-    gf_copy(y,x);
+    gf_copy(y, x);
     gf_strong_reduce(y);
-    return -(y->limb[0]&1);
+    return -(y->limb[0] & 1);
 }
 
 /** Deserialize from wire format; return -1 on success and 0 on failure. */
-mask_t gf_deserialize (gf x, const uint8_t serial[SER_BYTES], int with_hibit, uint8_t hi_nmask) {
-    unsigned int j=0, fill=0;
+mask_t gf_deserialize(gf x, const uint8_t serial[SER_BYTES], int with_hibit,
+                      uint8_t hi_nmask)
+{
+    unsigned int j = 0, fill = 0;
     dword_t buffer = 0;
     dsword_t scarry = 0;
     const unsigned nbytes = with_hibit ? X_SER_BYTES : SER_BYTES;
     unsigned int i;
     mask_t succ;
 
-    UNROLL for (i=0; i<NLIMBS; i++) {
+    UNROLL for (i = 0; i < NLIMBS; i++) {
         UNROLL while (fill < LIMB_PLACE_VALUE(LIMBPERM(i)) && j < nbytes) {
             uint8_t sj = serial[j];
-            if (j==nbytes-1) sj &= ~hi_nmask;
-            buffer |= ((dword_t)sj) << fill;
+            if (j == nbytes - 1)
+                sj &= ~hi_nmask;
+            buffer |= ((dword_t) sj) << fill;
             fill += 8;
             j++;
         }
-        x->limb[LIMBPERM(i)] = (i<NLIMBS-1) ? buffer & LIMB_MASK(LIMBPERM(i)) : buffer;
+        x->limb[LIMBPERM(i)] =
+            (i < NLIMBS - 1) ? buffer & LIMB_MASK(LIMBPERM(i)) : buffer;
         fill -= LIMB_PLACE_VALUE(LIMBPERM(i));
         buffer >>= LIMB_PLACE_VALUE(LIMBPERM(i));
-        scarry = (scarry + x->limb[LIMBPERM(i)] - MODULUS->limb[LIMBPERM(i)]) >> (8*sizeof(word_t));
+        scarry =
+            (scarry + x->limb[LIMBPERM(i)] -
+             MODULUS->limb[LIMBPERM(i)]) >> (8 * sizeof(word_t));
     }
-    succ = with_hibit ? -(mask_t)1 : ~gf_hibit(x);
+    succ = with_hibit ? -(mask_t) 1 : ~gf_hibit(x);
     return succ & word_is_zero(buffer) & ~word_is_zero(scarry);
 }
 
 /** Reduce to canonical form. */
-void gf_strong_reduce (gf a) {
+void gf_strong_reduce(gf a)
+{
     dsword_t scarry;
     word_t scarry_0;
     dword_t carry = 0;
     unsigned int i;
 
     /* first, clear high */
-    gf_weak_reduce(a); /* Determined to have negligible perf impact. */
+    gf_weak_reduce(a);          /* Determined to have negligible perf impact. */
 
     /* now the total is less than 2p */
 
     /* compute total_value - p.  No need to reduce mod p. */
     scarry = 0;
-    for (i=0; i<NLIMBS; i++) {
+    for (i = 0; i < NLIMBS; i++) {
         scarry = scarry + a->limb[LIMBPERM(i)] - MODULUS->limb[LIMBPERM(i)];
         a->limb[LIMBPERM(i)] = scarry & LIMB_MASK(LIMBPERM(i));
         scarry >>= LIMB_PLACE_VALUE(LIMBPERM(i));
     }
 
-    /* uncommon case: it was >= p, so now scarry = 0 and this = x
-     * common case: it was < p, so now scarry = -1 and this = x - p + 2^255
-     * so let's add back in p.  will carry back off the top for 2^255.
+    /*
+     * uncommon case: it was >= p, so now scarry = 0 and this = x common case:
+     * it was < p, so now scarry = -1 and this = x - p + 2^255 so let's add
+     * back in p.  will carry back off the top for 2^255.
      */
-    assert(word_is_zero(scarry) | word_is_zero(scarry+1));
+    assert(word_is_zero(scarry) | word_is_zero(scarry + 1));
 
     scarry_0 = scarry;
 
     /* add it back */
-    for (i=0; i<NLIMBS; i++) {
-        carry = carry + a->limb[LIMBPERM(i)] + (scarry_0 & MODULUS->limb[LIMBPERM(i)]);
+    for (i = 0; i < NLIMBS; i++) {
+        carry =
+            carry + a->limb[LIMBPERM(i)] +
+            (scarry_0 & MODULUS->limb[LIMBPERM(i)]);
         a->limb[LIMBPERM(i)] = carry & LIMB_MASK(LIMBPERM(i));
         carry >>= LIMB_PLACE_VALUE(LIMBPERM(i));
     }
@@ -119,28 +136,31 @@ void gf_strong_reduce (gf a) {
 }
 
 /** Subtract two gf elements d=a-b */
-void gf_sub (gf d, const gf a, const gf b) {
-    gf_sub_RAW ( d, a, b );
-    gf_bias( d, 2 );
-    gf_weak_reduce ( d );
+void gf_sub(gf d, const gf a, const gf b)
+{
+    gf_sub_RAW(d, a, b);
+    gf_bias(d, 2);
+    gf_weak_reduce(d);
 }
 
 /** Add two field elements d = a+b */
-void gf_add (gf d, const gf a, const gf b) {
-    gf_add_RAW ( d, a, b );
-    gf_weak_reduce ( d );
+void gf_add(gf d, const gf a, const gf b)
+{
+    gf_add_RAW(d, a, b);
+    gf_weak_reduce(d);
 }
 
 /** Compare a==b */
-mask_t gf_eq(const gf a, const gf b) {
+mask_t gf_eq(const gf a, const gf b)
+{
     gf c;
-    mask_t ret=0;
+    mask_t ret = 0;
     unsigned int i;
 
-    gf_sub(c,a,b);
+    gf_sub(c, a, b);
     gf_strong_reduce(c);
 
-    for (i=0; i<NLIMBS; i++) {
+    for (i = 0; i < NLIMBS; i++) {
         ret |= c->limb[LIMBPERM(i)];
     }
 
index dcc3cc638c1f3f8846587edea5a9ee6fafa889b3..8100fe638a8f92829db15bcd121a34e55fcc960a 100644 (file)
  */
 
 #ifndef __GF_H__
-#define __GF_H__
+# define __GF_H__
+
+# include "constant_time.h"
+# include "f_field.h"
+# include <string.h>
 
-#include "constant_time.h"
-#include "f_field.h"
-#include <string.h>
-    
 /** Square x, n times. */
-static ossl_inline void gf_sqrn (
-    gf_s *__restrict__ y,
-    const gf x,
-    int n
-) {
+static ossl_inline void gf_sqrn(gf_s * __restrict__ y, const gf x, int n)
+{
     gf tmp;
-    assert(n>0);
-    if (n&1) {
-        gf_sqr(y,x);
+    assert(n > 0);
+    if (n & 1) {
+        gf_sqr(y, x);
         n--;
     } else {
-        gf_sqr(tmp,x);
-        gf_sqr(y,tmp);
-        n-=2;
+        gf_sqr(tmp, x);
+        gf_sqr(y, tmp);
+        n -= 2;
     }
-    for (; n; n-=2) {
-        gf_sqr(tmp,y);
-        gf_sqr(y,tmp);
+    for (; n; n -= 2) {
+        gf_sqr(tmp, y);
+        gf_sqr(y, tmp);
     }
 }
 
-#define gf_add_nr gf_add_RAW
+# define gf_add_nr gf_add_RAW
 
 /** Subtract mod p.  Bias by 2 and don't reduce  */
-static ossl_inline void gf_sub_nr ( gf c, const gf a, const gf b ) {
-    gf_sub_RAW(c,a,b);
+static ossl_inline void gf_sub_nr(gf c, const gf a, const gf b)
+{
+    gf_sub_RAW(c, a, b);
     gf_bias(c, 2);
-    if (GF_HEADROOM < 3) gf_weak_reduce(c);
+    if (GF_HEADROOM < 3)
+        gf_weak_reduce(c);
 }
 
 /** Subtract mod p. Bias by amt but don't reduce.  */
-static ossl_inline void gf_subx_nr ( gf c, const gf a, const gf b, int amt ) {
-    gf_sub_RAW(c,a,b);
+static ossl_inline void gf_subx_nr(gf c, const gf a, const gf b, int amt)
+{
+    gf_sub_RAW(c, a, b);
     gf_bias(c, amt);
-    if (GF_HEADROOM < amt+1) gf_weak_reduce(c);
+    if (GF_HEADROOM < amt + 1)
+        gf_weak_reduce(c);
 }
 
 /** Mul by signed int.  Not constant-time WRT the sign of that int. */
-static ossl_inline void gf_mulw(gf c, const gf a, int32_t w) {
-    if (w>0) {
+static ossl_inline void gf_mulw(gf c, const gf a, int32_t w)
+{
+    if (w > 0) {
         gf_mulw_unsigned(c, a, w);
     } else {
         gf_mulw_unsigned(c, a, -w);
-        gf_sub(c,ZERO,c);
+        gf_sub(c, ZERO, c);
     }
 }
 
 /** Constant time, x = is_z ? z : y */
-static ossl_inline void gf_cond_sel(gf x, const gf y, const gf z, mask_t is_z) {
-    constant_time_select(x,y,z,sizeof(gf),is_z,0);
+static ossl_inline void gf_cond_sel(gf x, const gf y, const gf z, mask_t is_z)
+{
+    constant_time_select(x, y, z, sizeof(gf), is_z, 0);
 }
 
 /** Constant time, if (neg) x=-x; */
-static ossl_inline void gf_cond_neg(gf x, mask_t neg) {
+static ossl_inline void gf_cond_neg(gf x, mask_t neg)
+{
     gf y;
-    gf_sub(y,ZERO,x);
-    gf_cond_sel(x,x,y,neg);
+    gf_sub(y, ZERO, x);
+    gf_cond_sel(x, x, y, neg);
 }
 
 /** Constant time, if (swap) (x,y) = (y,x); */
-static ossl_inline void
-gf_cond_swap(gf x, gf_s *__restrict__ y, mask_t swap) {
-    constant_time_cond_swap(x,y,sizeof(gf_s),swap);
+static ossl_inline void gf_cond_swap(gf x, gf_s * __restrict__ y, mask_t swap)
+{
+    constant_time_cond_swap(x, y, sizeof(gf_s), swap);
 }
 
-static ossl_inline void gf_mul_qnr(gf_s *__restrict__ out, const gf x) {
-    gf_sub(out,ZERO,x);
+static ossl_inline void gf_mul_qnr(gf_s * __restrict__ out, const gf x)
+{
+    gf_sub(out, ZERO, x);
 }
 
-static ossl_inline void gf_div_qnr(gf_s *__restrict__ out, const gf x) {
-    gf_sub(out,ZERO,x);
+static ossl_inline void gf_div_qnr(gf_s * __restrict__ out, const gf x)
+{
+    gf_sub(out, ZERO, x);
 }
 
-
-#endif /* __GF_H__ */
+#endif                          /* __GF_H__ */
index 898574293ccf9b22506d07f46fb6b2758c94c9af..148eef68f7f14faf563949aa5b183193ae3996d4 100644 (file)
  */
 
 #ifndef __DECAF_POINT_448_H__
-#define __DECAF_POINT_448_H__ 1
+# define __DECAF_POINT_448_H__ 1
 
-#include "curve448utils.h"
-#include "field.h"
+# include "curve448utils.h"
+# include "field.h"
 
 #ifdef __cplusplus
 extern "C" {
 #endif
 
 /** @cond internal */
-#define DECAF_448_SCALAR_LIMBS ((446-1)/DECAF_WORD_BITS+1)
+# define DECAF_448_SCALAR_LIMBS ((446-1)/DECAF_WORD_BITS+1)
 /** @endcond */
 
 /** The number of bits in a scalar */
-#define DECAF_448_SCALAR_BITS 446
+# define DECAF_448_SCALAR_BITS 446
 
 /** Number of bytes in a serialized point. */
-#define DECAF_448_SER_BYTES 56
+# define DECAF_448_SER_BYTES 56
 
 /** Number of bytes in an elligated point.  For now set the same as SER_BYTES
  * but could be different for other curves.
  */
-#define DECAF_448_HASH_BYTES 56
+# define DECAF_448_HASH_BYTES 56
 
 /** Number of bytes in a serialized scalar. */
-#define DECAF_448_SCALAR_BYTES 56
+# define DECAF_448_SCALAR_BYTES 56
 
 /** Number of bits in the "which" field of an elligator inverse */
-#define DECAF_448_INVERT_ELLIGATOR_WHICH_BITS 3
+# define DECAF_448_INVERT_ELLIGATOR_WHICH_BITS 3
 
 /** The cofactor the curve would have, if we hadn't removed it */
-#define DECAF_448_REMOVED_COFACTOR 4
+# define DECAF_448_REMOVED_COFACTOR 4
 
 /** X448 encoding ratio. */
-#define DECAF_X448_ENCODE_RATIO 2
+# define DECAF_X448_ENCODE_RATIO 2
 
 /** Number of bytes in an x448 public key */
-#define DECAF_X448_PUBLIC_BYTES 56
+# define DECAF_X448_PUBLIC_BYTES 56
 
 /** Number of bytes in an x448 private key */
-#define DECAF_X448_PRIVATE_BYTES 56
+# define DECAF_X448_PRIVATE_BYTES 56
 
 /** Twisted Edwards extended homogeneous coordinates */
 typedef struct curve448_point_s {
     /** @cond internal */
-    gf_448_t x,y,z,t;
+    gf_448_t x, y, z, t;
     /** @endcond */
 } curve448_point_t[1];
 
@@ -64,7 +64,7 @@ typedef struct curve448_point_s {
 struct curve448_precomputed_s;
 
 /** Precomputed table based on a point.  Can be trivial implementation. */
-typedef struct curve448_precomputed_s curve448_precomputed_s; 
+typedef struct curve448_precomputed_s curve448_precomputed_s;
 
 /** Scalar is stored packed, because we don't need the speed. */
 typedef struct curve448_scalar_s {
@@ -98,10 +98,10 @@ extern const struct curve448_precomputed_s *curve448_precomputed_base;
  * @retval DECAF_FAILURE The scalar was greater than the modulus,
  * and has been reduced modulo that modulus.
  */
-__owur decaf_error_t curve448_scalar_decode (
-    curve448_scalar_t out,
-    const unsigned char ser[DECAF_448_SCALAR_BYTES]
-);
+__owur decaf_error_t curve448_scalar_decode(curve448_scalar_t out,
+                                            const unsigned char
+                                            ser[DECAF_448_SCALAR_BYTES]
+    );
 
 /**
  * @brief Read a scalar from wire format or from bytes.  Reduces mod
@@ -111,68 +111,51 @@ __owur decaf_error_t curve448_scalar_decode (
  * @param [in] ser_len Length of serialized form.
  * @param [out] out Deserialized form.
  */
-void curve448_scalar_decode_long (
-    curve448_scalar_t out,
-    const unsigned char *ser,
-    size_t ser_len
-);
-    
+void curve448_scalar_decode_long(curve448_scalar_t out,
+                                 const unsigned char *ser, size_t ser_len);
+
 /**
  * @brief Serialize a scalar to wire format.
  *
  * @param [out] ser Serialized form of a scalar.
  * @param [in] s Deserialized scalar.
  */
-void curve448_scalar_encode (
-    unsigned char ser[DECAF_448_SCALAR_BYTES],
-    const curve448_scalar_t s
-);
-        
+void curve448_scalar_encode(unsigned char ser[DECAF_448_SCALAR_BYTES],
+                            const curve448_scalar_t s);
+
 /**
  * @brief Add two scalars.  The scalars may use the same memory.
  * @param [in] a One scalar.
  * @param [in] b Another scalar.
  * @param [out] out a+b.
  */
-void curve448_scalar_add (
-    curve448_scalar_t out,
-    const curve448_scalar_t a,
-    const curve448_scalar_t b
-);
+void curve448_scalar_add(curve448_scalar_t out,
+                         const curve448_scalar_t a, const curve448_scalar_t b);
 
 /**
  * @brief Subtract two scalars.  The scalars may use the same memory.
  * @param [in] a One scalar.
  * @param [in] b Another scalar.
  * @param [out] out a-b.
- */  
-void curve448_scalar_sub (
-    curve448_scalar_t out,
-    const curve448_scalar_t a,
-    const curve448_scalar_t b
-);
+ */
+void curve448_scalar_sub(curve448_scalar_t out,
+                         const curve448_scalar_t a, const curve448_scalar_t b);
 
 /**
  * @brief Multiply two scalars.  The scalars may use the same memory.
  * @param [in] a One scalar.
  * @param [in] b Another scalar.
  * @param [out] out a*b.
- */  
-void curve448_scalar_mul (
-    curve448_scalar_t out,
-    const curve448_scalar_t a,
-    const curve448_scalar_t b
-);
-        
+ */
+void curve448_scalar_mul(curve448_scalar_t out,
+                         const curve448_scalar_t a, const curve448_scalar_t b);
+
 /**
 * @brief Halve a scalar.  The scalars may use the same memory.
 * @param [in] a A scalar.
 * @param [out] out a/2.
 */
-void curve448_scalar_halve (
-   curve448_scalar_t out,
-   const curve448_scalar_t a
-);
+void curve448_scalar_halve(curve448_scalar_t out, const curve448_scalar_t a);
 
 /**
  * @brief Copy a scalar.  The scalars may use the same memory, in which
@@ -180,10 +163,9 @@ void curve448_scalar_halve (
  * @param [in] a A scalar.
  * @param [out] out Will become a copy of a.
  */
-static ossl_inline void curve448_scalar_copy (
-    curve448_scalar_t out,
-    const curve448_scalar_t a
-) {
+static ossl_inline void curve448_scalar_copy(curve448_scalar_t out,
+                                             const curve448_scalar_t a)
+{
     *out = *a;
 }
 
@@ -194,11 +176,10 @@ static ossl_inline void curve448_scalar_copy (
  * @param [out] a A copy of the point.
  * @param [in] b Any point.
  */
-static ossl_inline void curve448_point_copy (
-    curve448_point_t a,
-    const curve448_point_t b
-) {
-    *a=*b;
+static ossl_inline void curve448_point_copy(curve448_point_t a,
+                                            const curve448_point_t b)
+{
+    *a = *b;
 }
 
 /**
@@ -210,10 +191,8 @@ static ossl_inline void curve448_point_copy (
  * @retval DECAF_TRUE The points are equal.
  * @retval DECAF_FALSE The points are not equal.
  */
-__owur decaf_bool_t curve448_point_eq (
-    const curve448_point_t a,
-    const curve448_point_t b
-);
+__owur decaf_bool_t curve448_point_eq(const curve448_point_t a,
+                                      const curve448_point_t b);
 
 /**
  * @brief Double a point.  Equivalent to
@@ -222,10 +201,7 @@ __owur decaf_bool_t curve448_point_eq (
  * @param [out] two_a The sum a+a.
  * @param [in] a A point.
  */
-void curve448_point_double (
-    curve448_point_t two_a,
-    const curve448_point_t a
-);
+void curve448_point_double(curve448_point_t two_a, const curve448_point_t a);
 
 /**
  * @brief RFC 7748 Diffie-Hellman scalarmul.  This function uses a different
@@ -239,11 +215,10 @@ void curve448_point_double (
  * @retval DECAF_FAILURE The scalarmul didn't succeed, because the base
  * point is in a small subgroup.
  */
-__owur decaf_error_t decaf_x448 (
-    uint8_t out[DECAF_X448_PUBLIC_BYTES],
-    const uint8_t base[DECAF_X448_PUBLIC_BYTES],
-    const uint8_t scalar[DECAF_X448_PRIVATE_BYTES]
-);
+__owur decaf_error_t decaf_x448(uint8_t out[DECAF_X448_PUBLIC_BYTES],
+                                const uint8_t base[DECAF_X448_PUBLIC_BYTES],
+                                const uint8_t scalar[DECAF_X448_PRIVATE_BYTES]
+    );
 
 /**
  * @brief Multiply a point by DECAF_X448_ENCODE_RATIO,
@@ -265,14 +240,14 @@ __owur decaf_error_t decaf_x448 (
  * @param [out] out The scaled and encoded point.
  * @param [in] p The point to be scaled and encoded.
  */
-void curve448_point_mul_by_ratio_and_encode_like_x448 (
-    uint8_t out[DECAF_X448_PUBLIC_BYTES],
-    const curve448_point_t p
-);
+void curve448_point_mul_by_ratio_and_encode_like_x448(uint8_t
+                                                      out
+                                                      [DECAF_X448_PUBLIC_BYTES],
+                                                      const curve448_point_t p);
 
 /** The base point for X448 Diffie-Hellman */
 extern const uint8_t decaf_x448_base_point[DECAF_X448_PUBLIC_BYTES];
-    
+
 /**
  * @brief RFC 7748 Diffie-Hellman base point scalarmul.  This function uses
  * a different (non-Decaf) encoding.
@@ -283,11 +258,9 @@ extern const uint8_t decaf_x448_base_point[DECAF_X448_PUBLIC_BYTES];
  * @param [out] scaled The scaled point base*scalar
  * @param [in] scalar The scalar to multiply by.
  */
-void decaf_x448_derive_public_key (
-    uint8_t out[DECAF_X448_PUBLIC_BYTES],
-    const uint8_t scalar[DECAF_X448_PRIVATE_BYTES]
-);
-
+void decaf_x448_derive_public_key(uint8_t out[DECAF_X448_PUBLIC_BYTES],
+                                  const uint8_t scalar[DECAF_X448_PRIVATE_BYTES]
+    );
 
 /**
  * @brief Multiply a precomputed base point by a scalar:
@@ -300,12 +273,9 @@ void decaf_x448_derive_public_key (
  * @param [in] base The point to be scaled.
  * @param [in] scalar The scalar to multiply by.
  */
-void curve448_precomputed_scalarmul (
-    curve448_point_t scaled,
-    const curve448_precomputed_s *base,
-    const curve448_scalar_t scalar
-);
-
+void curve448_precomputed_scalarmul(curve448_point_t scaled,
+                                    const curve448_precomputed_s * base,
+                                    const curve448_scalar_t scalar);
 
 /**
  * @brief Multiply two base points by two scalars:
@@ -322,12 +292,10 @@ void curve448_precomputed_scalarmul (
  * @warning: This function takes variable time, and may leak the scalars
  * used.  It is designed for signature verification.
  */
-void curve448_base_double_scalarmul_non_secret (
-    curve448_point_t combo,
-    const curve448_scalar_t scalar1,
-    const curve448_point_t base2,
-    const curve448_scalar_t scalar2
-);
+void curve448_base_double_scalarmul_non_secret(curve448_point_t combo,
+                                               const curve448_scalar_t scalar1,
+                                               const curve448_point_t base2,
+                                               const curve448_scalar_t scalar2);
 
 /**
  * @brief Test that a point is valid, for debugging purposes.
@@ -336,26 +304,20 @@ void curve448_base_double_scalarmul_non_secret (
  * @retval DECAF_TRUE The point is valid.
  * @retval DECAF_FALSE The point is invalid.
  */
-__owur decaf_bool_t curve448_point_valid (
-    const curve448_point_t to_test
-);
+__owur decaf_bool_t curve448_point_valid(const curve448_point_t to_test);
 
 /**
  * @brief Overwrite scalar with zeros.
  */
-void curve448_scalar_destroy (
-    curve448_scalar_t scalar
-);
+void curve448_scalar_destroy(curve448_scalar_t scalar);
 
 /**
  * @brief Overwrite point with zeros.
  */
-void curve448_point_destroy (
-    curve448_point_t point
-);
+void curve448_point_destroy(curve448_point_t point);
 
 #ifdef __cplusplus
 } /* extern "C" */
 #endif
 
-#endif /* __DECAF_POINT_448_H__ */
+#endif                          /* __DECAF_POINT_448_H__ */
index a575a10e54eb4039263e96ea1988745354006ae6..5090fcf3d8e1188092f77db1bc8b1997359ff663 100644 (file)
 #include "constant_time.h"
 #include "point_448.h"
 
-static const decaf_word_t MONTGOMERY_FACTOR = (decaf_word_t)0x3bd440fae918bc5;
-static const curve448_scalar_t sc_p = {{{
-    SC_LIMB(0x2378c292ab5844f3), SC_LIMB(0x216cc2728dc58f55), SC_LIMB(0xc44edb49aed63690), SC_LIMB(0xffffffff7cca23e9), SC_LIMB(0xffffffffffffffff), SC_LIMB(0xffffffffffffffff), SC_LIMB(0x3fffffffffffffff)
-}}}, sc_r2 = {{{
-    SC_LIMB(0xe3539257049b9b60), SC_LIMB(0x7af32c4bc1b195d9), SC_LIMB(0x0d66de2388ea1859), SC_LIMB(0xae17cf725ee4d838), SC_LIMB(0x1a9cc14ba3c47c44), SC_LIMB(0x2052bcb7e4d070af), SC_LIMB(0x3402a939f823b729)
+static const decaf_word_t MONTGOMERY_FACTOR = (decaf_word_t) 0x3bd440fae918bc5;
+static const curve448_scalar_t sc_p = { {{
+                                          SC_LIMB(0x2378c292ab5844f3),
+                                          SC_LIMB(0x216cc2728dc58f55),
+                                          SC_LIMB(0xc44edb49aed63690),
+                                          SC_LIMB(0xffffffff7cca23e9),
+                                          SC_LIMB(0xffffffffffffffff),
+                                          SC_LIMB(0xffffffffffffffff),
+                                          SC_LIMB(0x3fffffffffffffff)
+                                          }}
+}, sc_r2 = { { {
+
+            SC_LIMB(0xe3539257049b9b60), SC_LIMB(0x7af32c4bc1b195d9),
+                SC_LIMB(0x0d66de2388ea1859), SC_LIMB(0xae17cf725ee4d838),
+                SC_LIMB(0x1a9cc14ba3c47c44), SC_LIMB(0x2052bcb7e4d070af),
+                SC_LIMB(0x3402a939f823b729)
 }}};
+
 /* End of template stuff */
 
-#define WBITS DECAF_WORD_BITS /* NB this may be different from ARCH_WORD_BITS */
+#define WBITS DECAF_WORD_BITS   /* NB this may be different from ARCH_WORD_BITS */
 
-const curve448_scalar_t curve448_scalar_one = {{{1}}}, curve448_scalar_zero = {{{0}}};
+const curve448_scalar_t curve448_scalar_one = { {{1}} }, curve448_scalar_zero = { { {
+0}}};
 
 /** {extra,accum} - sub +? p
  * Must have extra <= 1
  */
-static void sc_subx(
-    curve448_scalar_t out,
-    const decaf_word_t accum[DECAF_448_SCALAR_LIMBS],
-    const curve448_scalar_t sub,
-    const curve448_scalar_t p,
-    decaf_word_t extra
-) {
+static void sc_subx(curve448_scalar_t out,
+                    const decaf_word_t accum[DECAF_448_SCALAR_LIMBS],
+                    const curve448_scalar_t sub,
+                    const curve448_scalar_t p, decaf_word_t extra)
+{
     decaf_dsword_t chain = 0;
     unsigned int i;
     decaf_word_t borrow;
 
-    for (i=0; i<DECAF_448_SCALAR_LIMBS; i++) {
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS; i++) {
         chain = (chain + accum[i]) - sub->limb[i];
         out->limb[i] = chain;
         chain >>= WBITS;
     }
-    borrow = chain+extra; /* = 0 or -1 */
-    
+    borrow = chain + extra;     /* = 0 or -1 */
+
     chain = 0;
-    for (i=0; i<DECAF_448_SCALAR_LIMBS; i++) {
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS; i++) {
         chain = (chain + out->limb[i]) + (p->limb[i] & borrow);
         out->limb[i] = chain;
         chain >>= WBITS;
     }
 }
 
-static void sc_montmul (
-    curve448_scalar_t out,
-    const curve448_scalar_t a,
-    const curve448_scalar_t b
-) {
-    unsigned int i,j;
-    decaf_word_t accum[DECAF_448_SCALAR_LIMBS+1] = {0};
+static void sc_montmul(curve448_scalar_t out,
+                       const curve448_scalar_t a, const curve448_scalar_t b)
+{
+    unsigned int i, j;
+    decaf_word_t accum[DECAF_448_SCALAR_LIMBS + 1] = { 0 };
     decaf_word_t hi_carry = 0;
-    
-    for (i=0; i<DECAF_448_SCALAR_LIMBS; i++) {
+
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS; i++) {
         decaf_word_t mand = a->limb[i];
         const decaf_word_t *mier = b->limb;
-        
+
         decaf_dword_t chain = 0;
-        for (j=0; j<DECAF_448_SCALAR_LIMBS; j++) {
-            chain += ((decaf_dword_t)mand)*mier[j] + accum[j];
+        for (j = 0; j < DECAF_448_SCALAR_LIMBS; j++) {
+            chain += ((decaf_dword_t) mand) * mier[j] + accum[j];
             accum[j] = chain;
             chain >>= WBITS;
         }
         accum[j] = chain;
-        
+
         mand = accum[0] * MONTGOMERY_FACTOR;
         chain = 0;
         mier = sc_p->limb;
-        for (j=0; j<DECAF_448_SCALAR_LIMBS; j++) {
-            chain += (decaf_dword_t)mand*mier[j] + accum[j];
-            if (j) accum[j-1] = chain;
+        for (j = 0; j < DECAF_448_SCALAR_LIMBS; j++) {
+            chain += (decaf_dword_t) mand *mier[j] + accum[j];
+            if (j)
+                accum[j - 1] = chain;
             chain >>= WBITS;
         }
         chain += accum[j];
         chain += hi_carry;
-        accum[j-1] = chain;
+        accum[j - 1] = chain;
         hi_carry = chain >> WBITS;
     }
-    
+
     sc_subx(out, accum, sc_p, sc_p, hi_carry);
 }
 
-void curve448_scalar_mul (
-    curve448_scalar_t out,
-    const curve448_scalar_t a,
-    const curve448_scalar_t b
-) {
-    sc_montmul(out,a,b);
-    sc_montmul(out,out,sc_r2);
+void curve448_scalar_mul(curve448_scalar_t out,
+                         const curve448_scalar_t a, const curve448_scalar_t b)
+{
+    sc_montmul(out, a, b);
+    sc_montmul(out, out, sc_r2);
 }
 
-void curve448_scalar_sub (
-    curve448_scalar_t out,
-    const curve448_scalar_t a,
-    const curve448_scalar_t b
-) {
+void curve448_scalar_sub(curve448_scalar_t out,
+                         const curve448_scalar_t a, const curve448_scalar_t b)
+{
     sc_subx(out, a->limb, b, sc_p, 0);
 }
 
-void curve448_scalar_add (
-    curve448_scalar_t out,
-    const curve448_scalar_t a,
-    const curve448_scalar_t b
-) {
+void curve448_scalar_add(curve448_scalar_t out,
+                         const curve448_scalar_t a, const curve448_scalar_t b)
+{
     decaf_dword_t chain = 0;
     unsigned int i;
-    for (i=0; i<DECAF_448_SCALAR_LIMBS; i++) {
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS; i++) {
         chain = (chain + a->limb[i]) + b->limb[i];
         out->limb[i] = chain;
         chain >>= WBITS;
@@ -126,50 +130,47 @@ void curve448_scalar_add (
     sc_subx(out, out->limb, sc_p, sc_p, chain);
 }
 
-static ossl_inline void scalar_decode_short (
-    curve448_scalar_t s,
-    const unsigned char *ser,
-    unsigned int nbytes
-) {
-    unsigned int i,j,k=0;
-    for (i=0; i<DECAF_448_SCALAR_LIMBS; i++) {
+static ossl_inline void scalar_decode_short(curve448_scalar_t s,
+                                            const unsigned char *ser,
+                                            unsigned int nbytes)
+{
+    unsigned int i, j, k = 0;
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS; i++) {
         decaf_word_t out = 0;
-        for (j=0; j<sizeof(decaf_word_t) && k<nbytes; j++,k++) {
-            out |= ((decaf_word_t)ser[k])<<(8*j);
+        for (j = 0; j < sizeof(decaf_word_t) && k < nbytes; j++, k++) {
+            out |= ((decaf_word_t) ser[k]) << (8 * j);
         }
         s->limb[i] = out;
     }
 }
 
-decaf_error_t curve448_scalar_decode(
-    curve448_scalar_t s,
-    const unsigned char ser[DECAF_448_SCALAR_BYTES]
-) {
+decaf_error_t curve448_scalar_decode(curve448_scalar_t s,
+                                     const unsigned char
+                                     ser[DECAF_448_SCALAR_BYTES]
+    )
+{
     unsigned int i;
     decaf_dsword_t accum = 0;
 
     scalar_decode_short(s, ser, DECAF_448_SCALAR_BYTES);
-    for (i=0; i<DECAF_448_SCALAR_LIMBS; i++) {
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS; i++) {
         accum = (accum + s->limb[i] - sc_p->limb[i]) >> WBITS;
     }
     /* Here accum == 0 or -1 */
-    
-    curve448_scalar_mul(s,s,curve448_scalar_one); /* ham-handed reduce */
-    
+
+    curve448_scalar_mul(s, s, curve448_scalar_one); /* ham-handed reduce */
+
     return decaf_succeed_if(~word_is_zero(accum));
 }
 
-void curve448_scalar_destroy (
-    curve448_scalar_t scalar
-) {
+void curve448_scalar_destroy(curve448_scalar_t scalar)
+{
     OPENSSL_cleanse(scalar, sizeof(curve448_scalar_t));
 }
 
-void curve448_scalar_decode_long(
-    curve448_scalar_t s,
-    const unsigned char *ser,
-    size_t ser_len
-) {
+void curve448_scalar_decode_long(curve448_scalar_t s,
+                                 const unsigned char *ser, size_t ser_len)
+{
     size_t i;
     curve448_scalar_t t1, t2;
 
@@ -178,23 +179,24 @@ void curve448_scalar_decode_long(
         return;
     }
 
-    i = ser_len - (ser_len%DECAF_448_SCALAR_BYTES);
-    if (i==ser_len) i -= DECAF_448_SCALAR_BYTES;
-    
-    scalar_decode_short(t1, &ser[i], ser_len-i);
+    i = ser_len - (ser_len % DECAF_448_SCALAR_BYTES);
+    if (i == ser_len)
+        i -= DECAF_448_SCALAR_BYTES;
+
+    scalar_decode_short(t1, &ser[i], ser_len - i);
 
     if (ser_len == sizeof(curve448_scalar_t)) {
-        assert(i==0);
+        assert(i == 0);
         /* ham-handed reduce */
-        curve448_scalar_mul(s,t1,curve448_scalar_one);
+        curve448_scalar_mul(s, t1, curve448_scalar_one);
         curve448_scalar_destroy(t1);
         return;
     }
 
     while (i) {
         i -= DECAF_448_SCALAR_BYTES;
-        sc_montmul(t1,t1,sc_r2);
-        ignore_result( curve448_scalar_decode(t2, ser+i) );
+        sc_montmul(t1, t1, sc_r2);
+        ignore_result(curve448_scalar_decode(t2, ser + i));
         curve448_scalar_add(t1, t1, t2);
     }
 
@@ -203,33 +205,29 @@ void curve448_scalar_decode_long(
     curve448_scalar_destroy(t2);
 }
 
-void curve448_scalar_encode(
-    unsigned char ser[DECAF_448_SCALAR_BYTES],
-    const curve448_scalar_t s
-) {
-    unsigned int i,j,k=0;
-    for (i=0; i<DECAF_448_SCALAR_LIMBS; i++) {
-        for (j=0; j<sizeof(decaf_word_t); j++,k++) {
-            ser[k] = s->limb[i] >> (8*j);
+void curve448_scalar_encode(unsigned char ser[DECAF_448_SCALAR_BYTES],
+                            const curve448_scalar_t s)
+{
+    unsigned int i, j, k = 0;
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS; i++) {
+        for (j = 0; j < sizeof(decaf_word_t); j++, k++) {
+            ser[k] = s->limb[i] >> (8 * j);
         }
     }
 }
 
-void curve448_scalar_halve (
-    curve448_scalar_t out,
-    const curve448_scalar_t a
-) {
+void curve448_scalar_halve(curve448_scalar_t out, const curve448_scalar_t a)
+{
     decaf_word_t mask = -(a->limb[0] & 1);
     decaf_dword_t chain = 0;
     unsigned int i;
-    for (i=0; i<DECAF_448_SCALAR_LIMBS; i++) {
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS; i++) {
         chain = (chain + a->limb[i]) + (sc_p->limb[i] & mask);
         out->limb[i] = chain;
         chain >>= DECAF_WORD_BITS;
     }
-    for (i=0; i<DECAF_448_SCALAR_LIMBS-1; i++) {
-        out->limb[i] = out->limb[i]>>1 | out->limb[i+1]<<(WBITS-1);
+    for (i = 0; i < DECAF_448_SCALAR_LIMBS - 1; i++) {
+        out->limb[i] = out->limb[i] >> 1 | out->limb[i + 1] << (WBITS - 1);
     }
-    out->limb[i] = out->limb[i]>>1 | chain<<(WBITS-1);
+    out->limb[i] = out->limb[i] >> 1 | chain << (WBITS - 1);
 }
-
index 0c4c5e06800c08102594ef588ebc4e580d18ed5e..d4e940d1d611e65569bfbe8fb0bf60cfb80222df 100644 (file)
  */
 
 #ifndef __WORD_H__
-#define __WORD_H__
-
-#include <string.h>
-
-#include <assert.h>
-#include <openssl/e_os2.h>
-#include "arch_intrinsics.h"
-
-#include "curve448utils.h"
-
-#ifndef _BSD_SOURCE
-#define _BSD_SOURCE 1
-#endif
-
-#ifndef _DEFAULT_SOURCE
-#define _DEFAULT_SOURCE 1
-#endif
-
-#include <stdlib.h>
-
-#if defined(__ARM_NEON__)
-#include <arm_neon.h>
-#elif defined(__SSE2__)
-    #if !defined(__GNUC__) || defined(__clang__) || __GNUC__ >= 5 || (__GNUC__==4 && __GNUC_MINOR__ >= 4)
-        #include <immintrin.h>
-    #else
-        #include <emmintrin.h>
-    #endif
-#endif
-
-#if (ARCH_WORD_BITS == 64)
-    typedef uint64_t word_t, mask_t;
-    typedef __uint128_t dword_t;
-    typedef int32_t hsword_t;
-    typedef int64_t sword_t;
-    typedef __int128_t dsword_t;
-#elif (ARCH_WORD_BITS == 32)
-    typedef uint32_t word_t, mask_t;
-    typedef uint64_t dword_t;
-    typedef int16_t hsword_t;
-    typedef int32_t sword_t;
-    typedef int64_t dsword_t;
-#else
-    #error "For now, libdecaf only supports 32- and 64-bit architectures."
-#endif
-    
-/* Scalar limbs are keyed off of the API word size instead of the arch word size. */
-#if DECAF_WORD_BITS == 64
-    #define SC_LIMB(x) (x)
-#elif DECAF_WORD_BITS == 32
-    #define SC_LIMB(x) ((uint32_t)x),(x>>32)
-#else
-    #error "For now, libdecaf only supports 32- and 64-bit architectures."
-#endif
-
-#ifdef __ARM_NEON__
-    typedef uint32x4_t vecmask_t;
-#elif defined(__clang__)
-    typedef uint64_t uint64x2_t __attribute__((ext_vector_type(2)));
-    typedef int64_t  int64x2_t __attribute__((ext_vector_type(2)));
-    typedef uint64_t uint64x4_t __attribute__((ext_vector_type(4)));
-    typedef int64_t  int64x4_t __attribute__((ext_vector_type(4)));
-    typedef uint32_t uint32x4_t __attribute__((ext_vector_type(4)));
-    typedef int32_t  int32x4_t __attribute__((ext_vector_type(4)));
-    typedef uint32_t uint32x2_t __attribute__((ext_vector_type(2)));
-    typedef int32_t  int32x2_t __attribute__((ext_vector_type(2)));
-    typedef uint32_t uint32x8_t __attribute__((ext_vector_type(8)));
-    typedef int32_t  int32x8_t __attribute__((ext_vector_type(8)));
-    typedef word_t vecmask_t __attribute__((ext_vector_type(4)));
-#else /* GCC, hopefully? */
-    typedef uint64_t uint64x2_t __attribute__((vector_size(16)));
-    typedef int64_t  int64x2_t __attribute__((vector_size(16)));
-    typedef uint64_t uint64x4_t __attribute__((vector_size(32)));
-    typedef int64_t  int64x4_t __attribute__((vector_size(32)));
-    typedef uint32_t uint32x4_t __attribute__((vector_size(16)));
-    typedef int32_t  int32x4_t __attribute__((vector_size(16)));
-    typedef uint32_t uint32x2_t __attribute__((vector_size(8)));
-    typedef int32_t  int32x2_t __attribute__((vector_size(8)));
-    typedef uint32_t uint32x8_t __attribute__((vector_size(32)));
-    typedef int32_t  int32x8_t __attribute__((vector_size(32)));
-    typedef word_t vecmask_t __attribute__((vector_size(32)));
-#endif
-
-#if defined(__AVX2__)
-    #define VECTOR_ALIGNED __attribute__((aligned(32)))
-    typedef uint32x8_t big_register_t;
-    typedef uint64x4_t uint64xn_t;
-    typedef uint32x8_t uint32xn_t;
-
-    static ossl_inline big_register_t
-    br_set_to_mask(mask_t x) {
-        uint32_t y = (uint32_t)x;
-        big_register_t ret = {y,y,y,y,y,y,y,y};
-        return ret;
-    }
-#elif defined(__SSE2__)
-    #define VECTOR_ALIGNED __attribute__((aligned(16)))
-    typedef uint32x4_t big_register_t;
-    typedef uint64x2_t uint64xn_t;
-    typedef uint32x4_t uint32xn_t;
-
-    static ossl_inline big_register_t
-    br_set_to_mask(mask_t x) {
-        uint32_t y = x;
-        big_register_t ret = {y,y,y,y};
-        return ret;
-    }
-#elif defined(__ARM_NEON__)
-    #define VECTOR_ALIGNED __attribute__((aligned(16)))
-    typedef uint32x4_t big_register_t;
-    typedef uint64x2_t uint64xn_t;
-    typedef uint32x4_t uint32xn_t;
-    
-    static ossl_inline big_register_t
-    br_set_to_mask(mask_t x) {
-        return vdupq_n_u32(x);
-    }
-#elif defined(_WIN64) || defined(__amd64__) || defined(__X86_64__) \
+# define __WORD_H__
+
+# include <string.h>
+
+# include <assert.h>
+# include <openssl/e_os2.h>
+# include "arch_intrinsics.h"
+
+# include "curve448utils.h"
+
+# ifndef _BSD_SOURCE
+#  define _BSD_SOURCE 1
+# endif
+
+# ifndef _DEFAULT_SOURCE
+#  define _DEFAULT_SOURCE 1
+# endif
+
+# include <stdlib.h>
+
+# if defined(__ARM_NEON__)
+#  include <arm_neon.h>
+# elif defined(__SSE2__)
+#  if !defined(__GNUC__) || defined(__clang__) || __GNUC__ >= 5 || (__GNUC__==4 && __GNUC_MINOR__ >= 4)
+#   include <immintrin.h>
+#  else
+#   include <emmintrin.h>
+#  endif
+# endif
+
+# if (ARCH_WORD_BITS == 64)
+typedef uint64_t word_t, mask_t;
+typedef __uint128_t dword_t;
+typedef int32_t hsword_t;
+typedef int64_t sword_t;
+typedef __int128_t dsword_t;
+# elif (ARCH_WORD_BITS == 32)
+typedef uint32_t word_t, mask_t;
+typedef uint64_t dword_t;
+typedef int16_t hsword_t;
+typedef int32_t sword_t;
+typedef int64_t dsword_t;
+# else
+#  error "For now, libdecaf only supports 32- and 64-bit architectures."
+# endif
+
+/*
+ * Scalar limbs are keyed off of the API word size instead of the arch word
+ * size.
+ */
+# if DECAF_WORD_BITS == 64
+#  define SC_LIMB(x) (x)
+# elif DECAF_WORD_BITS == 32
+#  define SC_LIMB(x) ((uint32_t)x),(x>>32)
+# else
+#  error "For now, libdecaf only supports 32- and 64-bit architectures."
+# endif
+
+# ifdef __ARM_NEON__
+typedef uint32x4_t vecmask_t;
+# elif defined(__clang__)
+typedef uint64_t uint64x2_t __attribute__ ((ext_vector_type(2)));
+typedef int64_t int64x2_t __attribute__ ((ext_vector_type(2)));
+typedef uint64_t uint64x4_t __attribute__ ((ext_vector_type(4)));
+typedef int64_t int64x4_t __attribute__ ((ext_vector_type(4)));
+typedef uint32_t uint32x4_t __attribute__ ((ext_vector_type(4)));
+typedef int32_t int32x4_t __attribute__ ((ext_vector_type(4)));
+typedef uint32_t uint32x2_t __attribute__ ((ext_vector_type(2)));
+typedef int32_t int32x2_t __attribute__ ((ext_vector_type(2)));
+typedef uint32_t uint32x8_t __attribute__ ((ext_vector_type(8)));
+typedef int32_t int32x8_t __attribute__ ((ext_vector_type(8)));
+typedef word_t vecmask_t __attribute__ ((ext_vector_type(4)));
+# else                          /* GCC, hopefully? */
+typedef uint64_t uint64x2_t __attribute__ ((vector_size(16)));
+typedef int64_t int64x2_t __attribute__ ((vector_size(16)));
+typedef uint64_t uint64x4_t __attribute__ ((vector_size(32)));
+typedef int64_t int64x4_t __attribute__ ((vector_size(32)));
+typedef uint32_t uint32x4_t __attribute__ ((vector_size(16)));
+typedef int32_t int32x4_t __attribute__ ((vector_size(16)));
+typedef uint32_t uint32x2_t __attribute__ ((vector_size(8)));
+typedef int32_t int32x2_t __attribute__ ((vector_size(8)));
+typedef uint32_t uint32x8_t __attribute__ ((vector_size(32)));
+typedef int32_t int32x8_t __attribute__ ((vector_size(32)));
+typedef word_t vecmask_t __attribute__ ((vector_size(32)));
+# endif
+
+# if defined(__AVX2__)
+#  define VECTOR_ALIGNED __attribute__((aligned(32)))
+typedef uint32x8_t big_register_t;
+typedef uint64x4_t uint64xn_t;
+typedef uint32x8_t uint32xn_t;
+
+static ossl_inline big_register_t br_set_to_mask(mask_t x)
+{
+    uint32_t y = (uint32_t)x;
+    big_register_t ret = { y, y, y, y, y, y, y, y };
+    return ret;
+}
+# elif defined(__SSE2__)
+#  define VECTOR_ALIGNED __attribute__((aligned(16)))
+typedef uint32x4_t big_register_t;
+typedef uint64x2_t uint64xn_t;
+typedef uint32x4_t uint32xn_t;
+
+static ossl_inline big_register_t br_set_to_mask(mask_t x)
+{
+    uint32_t y = x;
+    big_register_t ret = { y, y, y, y };
+    return ret;
+}
+# elif defined(__ARM_NEON__)
+#  define VECTOR_ALIGNED __attribute__((aligned(16)))
+typedef uint32x4_t big_register_t;
+typedef uint64x2_t uint64xn_t;
+typedef uint32x4_t uint32xn_t;
+
+static ossl_inline big_register_t br_set_to_mask(mask_t x)
+{
+    return vdupq_n_u32(x);
+}
+# elif defined(_WIN64) || defined(__amd64__) || defined(__X86_64__) \
       || defined(__aarch64__)
-    #define VECTOR_ALIGNED __attribute__((aligned(8)))
-    typedef uint64_t big_register_t, uint64xn_t;
+#  define VECTOR_ALIGNED __attribute__((aligned(8)))
+typedef uint64_t big_register_t, uint64xn_t;
 
-    typedef uint32_t uint32xn_t;
-    static ossl_inline big_register_t
-    br_set_to_mask(mask_t x) {
-        return (big_register_t)x;
-    }
-#else
-    #define VECTOR_ALIGNED __attribute__((aligned(4)))
-    typedef uint64_t uint64xn_t;
-    typedef uint32_t uint32xn_t;
-    typedef uint32_t big_register_t;
-
-    static ossl_inline big_register_t
-    br_set_to_mask(mask_t x) {
-        return (big_register_t)x;
-    }
-#endif
+typedef uint32_t uint32xn_t;
+static ossl_inline big_register_t br_set_to_mask(mask_t x)
+{
+    return (big_register_t) x;
+}
+# else
+#  define VECTOR_ALIGNED __attribute__((aligned(4)))
+typedef uint64_t uint64xn_t;
+typedef uint32_t uint32xn_t;
+typedef uint32_t big_register_t;
+
+static ossl_inline big_register_t br_set_to_mask(mask_t x)
+{
+    return (big_register_t) x;
+}
+# endif
 
-#if defined(__AVX2__)
-    static ossl_inline big_register_t
-    br_is_zero(big_register_t x) {
-        return (big_register_t)(x == br_set_to_mask(0));
-    }
-#elif defined(__SSE2__)
-    static ossl_inline big_register_t
-    br_is_zero(big_register_t x) {
-        return (big_register_t)_mm_cmpeq_epi32((__m128i)x, _mm_setzero_si128());
-        //return (big_register_t)(x == br_set_to_mask(0));
-    }
-#elif defined(__ARM_NEON__)
-    static ossl_inline big_register_t
-    br_is_zero(big_register_t x) {
-        return vceqq_u32(x,x^x);
-    }
-#else
-    #define br_is_zero word_is_zero
-#endif
+# if defined(__AVX2__)
+static ossl_inline big_register_t br_is_zero(big_register_t x)
+{
+    return (big_register_t) (x == br_set_to_mask(0));
+}
+# elif defined(__SSE2__)
+static ossl_inline big_register_t br_is_zero(big_register_t x)
+{
+    return (big_register_t) _mm_cmpeq_epi32((__m128i) x, _mm_setzero_si128());
+    // return (big_register_t)(x == br_set_to_mask(0));
+}
+# elif defined(__ARM_NEON__)
+static ossl_inline big_register_t br_is_zero(big_register_t x)
+{
+    return vceqq_u32(x, x ^ x);
+}
+# else
+#  define br_is_zero word_is_zero
+# endif
 
 /* PERF: vectorize vs unroll */
-#ifdef __clang__
-#if 100*__clang_major__ + __clang_minor__ > 305
-#define UNROLL _Pragma("clang loop unroll(full)")
-#endif
-#endif
+# ifdef __clang__
+#  if 100*__clang_major__ + __clang_minor__ > 305
+#   define UNROLL _Pragma("clang loop unroll(full)")
+#  endif
+# endif
 
-#ifndef UNROLL
-#define UNROLL
-#endif
+# ifndef UNROLL
+#  define UNROLL
+# endif
 
-/* The plan on booleans:
- *
- * The external interface uses decaf_bool_t, but this might be a different
- * size than our particular arch's word_t (and thus mask_t).  Also, the caller
- * isn't guaranteed to pass it as nonzero.  So bool_to_mask converts word sizes
- * and checks nonzero.
- *
- * On the flip side, mask_t is always -1 or 0, but it might be a different size
- * than decaf_bool_t.
- *
- * On the third hand, we have success vs boolean types, but that's handled in
- * common.h: it converts between decaf_bool_t and decaf_error_t.
+/*
+ * The plan on booleans: The external interface uses decaf_bool_t, but this
+ * might be a different size than our particular arch's word_t (and thus
+ * mask_t).  Also, the caller isn't guaranteed to pass it as nonzero.  So
+ * bool_to_mask converts word sizes and checks nonzero. On the flip side,
+ * mask_t is always -1 or 0, but it might be a different size than
+ * decaf_bool_t. On the third hand, we have success vs boolean types, but
+ * that's handled in common.h: it converts between decaf_bool_t and
+ * decaf_error_t.
  */
-static ossl_inline decaf_bool_t mask_to_bool (mask_t m) {
-    return (decaf_sword_t)(sword_t)m;
+static ossl_inline decaf_bool_t mask_to_bool(mask_t m)
+{
+    return (decaf_sword_t) (sword_t) m;
 }
 
-static ossl_inline mask_t bool_to_mask (decaf_bool_t m) {
+static ossl_inline mask_t bool_to_mask(decaf_bool_t m)
+{
     /* On most arches this will be optimized to a simple cast. */
     mask_t ret = 0;
     unsigned int i;
 
-    unsigned int limit = sizeof(decaf_bool_t)/sizeof(mask_t);
-    if (limit < 1) limit = 1;
-    for (i=0; i<limit; i++) {
-        ret |= ~ word_is_zero(m >> (i*8*sizeof(word_t)));
+    unsigned int limit = sizeof(decaf_bool_t) / sizeof(mask_t);
+    if (limit < 1)
+        limit = 1;
+    for (i = 0; i < limit; i++) {
+        ret |= ~word_is_zero(m >> (i * 8 * sizeof(word_t)));
     }
     return ret;
 }
 
-static ossl_inline void ignore_result ( decaf_bool_t boo ) {
+static ossl_inline void ignore_result(decaf_bool_t boo)
+{
     (void)boo;
 }
 
-#endif /* __WORD_H__ */
+#endif                          /* __WORD_H__ */