From 205fd6388175704bd7597dbfb571c84f868ce6da Mon Sep 17 00:00:00 2001 From: Matt Caswell Date: Mon, 4 Dec 2017 11:38:58 +0000 Subject: [PATCH] Run util/openssl-format-source on the Curve448 code Reviewed-by: Bernd Edlinger (Merged from https://github.com/openssl/openssl/pull/5105) --- crypto/ec/curve448/arch_32/arch_intrinsics.h | 19 +- crypto/ec/curve448/arch_32/f_impl.c | 100 +- crypto/ec/curve448/arch_32/f_impl.h | 31 +- .../ec/curve448/arch_arm_32/arch_intrinsics.h | 26 +- crypto/ec/curve448/arch_arm_32/f_impl.c | 446 ++--- crypto/ec/curve448/arch_arm_32/f_impl.h | 52 +- .../ec/curve448/arch_neon/arch_intrinsics.h | 26 +- crypto/ec/curve448/arch_neon/f_impl.c | 1093 ++++++----- crypto/ec/curve448/arch_neon/f_impl.h | 55 +- .../ec/curve448/arch_ref64/arch_intrinsics.h | 21 +- crypto/ec/curve448/arch_ref64/f_impl.c | 172 +- crypto/ec/curve448/arch_ref64/f_impl.h | 34 +- .../ec/curve448/arch_x86_64/arch_intrinsics.h | 525 +++-- crypto/ec/curve448/arch_x86_64/f_impl.c | 111 +- crypto/ec/curve448/arch_x86_64/f_impl.h | 63 +- crypto/ec/curve448/constant_time.h | 175 +- crypto/ec/curve448/curve448.c | 860 +++++---- crypto/ec/curve448/curve448_tables.c | 1689 +++++++++++++---- crypto/ec/curve448/curve448_test.c | 58 +- crypto/ec/curve448/curve448utils.h | 67 +- crypto/ec/curve448/ed448.h | 149 +- crypto/ec/curve448/eddsa.c | 333 ++-- crypto/ec/curve448/f_arithmetic.c | 62 +- crypto/ec/curve448/f_field.h | 132 +- crypto/ec/curve448/f_generic.c | 104 +- crypto/ec/curve448/field.h | 91 +- crypto/ec/curve448/point_448.h | 174 +- crypto/ec/curve448/scalar.c | 206 +- crypto/ec/curve448/word.h | 372 ++-- 29 files changed, 4178 insertions(+), 3068 deletions(-) diff --git a/crypto/ec/curve448/arch_32/arch_intrinsics.h b/crypto/ec/curve448/arch_32/arch_intrinsics.h index 4e6aac2889..33439822fe 100644 --- a/crypto/ec/curve448/arch_32/arch_intrinsics.h +++ b/crypto/ec/curve448/arch_32/arch_intrinsics.h @@ -11,20 +11,21 @@ */ #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__ */ diff --git a/crypto/ec/curve448/arch_32/f_impl.c b/crypto/ec/curve448/arch_32/f_impl.c index ca67d496df..76ec9711f0 100644 --- a/crypto/ec/curve448/arch_32/f_impl.c +++ b/crypto/ec/curve448/arch_32/f_impl.c @@ -14,84 +14,80 @@ #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 */ } - diff --git a/crypto/ec/curve448/arch_32/f_impl.h b/crypto/ec/curve448/arch_32/f_impl.h index 427e03de3f..25bfa1f79e 100644 --- a/crypto/ec/curve448/arch_32/f_impl.h +++ b/crypto/ec/curve448/arch_32/f_impl.h @@ -13,43 +13,46 @@ #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; ilimb[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; ilimb[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; ilimb[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; } - diff --git a/crypto/ec/curve448/arch_arm_32/arch_intrinsics.h b/crypto/ec/curve448/arch_arm_32/arch_intrinsics.h index 9c3d481db6..73b82755c3 100644 --- a/crypto/ec/curve448/arch_arm_32/arch_intrinsics.h +++ b/crypto/ec/curve448/arch_arm_32/arch_intrinsics.h @@ -11,22 +11,26 @@ */ #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__ */ diff --git a/crypto/ec/curve448/arch_arm_32/f_impl.c b/crypto/ec/curve448/arch_arm_32/f_impl.c index b43e24db75..25e970389b 100644 --- a/crypto/ec/curve448/arch_arm_32/f_impl.c +++ b/crypto/ec/curve448/arch_arm_32/f_impl.c @@ -12,100 +12,89 @@ #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++; } diff --git a/crypto/ec/curve448/arch_arm_32/f_impl.h b/crypto/ec/curve448/arch_arm_32/f_impl.h index ed19f80e91..9008619ce7 100644 --- a/crypto/ec/curve448/arch_arm_32/f_impl.h +++ b/crypto/ec/curve448/arch_arm_32/f_impl.h @@ -14,48 +14,52 @@ #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; ilimb[0]); i++) { - out->limb[i] = a->limb[i] + b->limb[i]; - } - */ + * for (unsigned int i=0; ilimb[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; ilimb[0]); i++) { - out->limb[i] = a->limb[i] - b->limb[i]; - } - */ + * for (unsigned int i=0; ilimb[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; } - diff --git a/crypto/ec/curve448/arch_neon/arch_intrinsics.h b/crypto/ec/curve448/arch_neon/arch_intrinsics.h index a3659823e3..201b3735b3 100644 --- a/crypto/ec/curve448/arch_neon/arch_intrinsics.h +++ b/crypto/ec/curve448/arch_neon/arch_intrinsics.h @@ -11,22 +11,26 @@ */ #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__ */ diff --git a/crypto/ec/curve448/arch_neon/f_impl.c b/crypto/ec/curve448/arch_neon/f_impl.c index dabcfdba3c..fe21aee128 100644 --- a/crypto/ec/curve448/arch_neon/f_impl.c +++ b/crypto/ec/curve448/arch_neon/f_impl.c @@ -12,589 +12,588 @@ #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); } diff --git a/crypto/ec/curve448/arch_neon/f_impl.h b/crypto/ec/curve448/arch_neon/f_impl.h index 744c61fb15..676ef1d444 100644 --- a/crypto/ec/curve448/arch_neon/f_impl.h +++ b/crypto/ec/curve448/arch_neon/f_impl.h @@ -15,50 +15,55 @@ #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; ilimb[0]); i++) { - out->limb[i] = a->limb[i] - b->limb[i]; - } - */ + * unsigned int i; for (i=0; ilimb[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); } - diff --git a/crypto/ec/curve448/arch_ref64/arch_intrinsics.h b/crypto/ec/curve448/arch_ref64/arch_intrinsics.h index ca7f69745e..f424d53068 100644 --- a/crypto/ec/curve448/arch_ref64/arch_intrinsics.h +++ b/crypto/ec/curve448/arch_ref64/arch_intrinsics.h @@ -11,20 +11,21 @@ */ #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__ */ diff --git a/crypto/ec/curve448/arch_ref64/f_impl.c b/crypto/ec/curve448/arch_ref64/f_impl.c index c37b2e8dca..73021312a6 100644 --- a/crypto/ec/curve448/arch_ref64/f_impl.c +++ b/crypto/ec/curve448/arch_ref64/f_impl.c @@ -11,68 +11,69 @@ */ #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)); } - diff --git a/crypto/ec/curve448/arch_ref64/f_impl.h b/crypto/ec/curve448/arch_ref64/f_impl.h index ce2d7dcbc2..0310008737 100644 --- a/crypto/ec/curve448/arch_ref64/f_impl.h +++ b/crypto/ec/curve448/arch_ref64/f_impl.h @@ -10,37 +10,41 @@ * 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; } diff --git a/crypto/ec/curve448/arch_x86_64/arch_intrinsics.h b/crypto/ec/curve448/arch_x86_64/arch_intrinsics.h index 9c7dbb79c3..80b3023a14 100644 --- a/crypto/ec/curve448/arch_x86_64/arch_intrinsics.h +++ b/crypto/ec/curve448/arch_x86_64/arch_intrinsics.h @@ -10,303 +10,292 @@ * 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 +# include /* 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__ */ diff --git a/crypto/ec/curve448/arch_x86_64/f_impl.c b/crypto/ec/curve448/arch_x86_64/f_impl.c index 2902412475..a1c9dbd122 100644 --- a/crypto/ec/curve448/arch_x86_64/f_impl.c +++ b/crypto/ec/curve448/arch_x86_64/f_impl.c @@ -12,32 +12,34 @@ #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>= 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>= 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]); diff --git a/crypto/ec/curve448/arch_x86_64/f_impl.h b/crypto/ec/curve448/arch_x86_64/f_impl.h index fb3421255a..23a426d4ec 100644 --- a/crypto/ec/curve448/arch_x86_64/f_impl.h +++ b/crypto/ec/curve448/arch_x86_64/f_impl.h @@ -14,60 +14,63 @@ #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; ilimb[0]); i++) { - out->limb[i] = a->limb[i] + b->limb[i]; - } - */ + * unsigned int i; for (i=0; ilimb[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; ilimb[0]); i++) { - out->limb[i] = a->limb[i] - b->limb[i]; - } - */ + * unsigned int i; for (i=0; ilimb[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; ilimb[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; } - diff --git a/crypto/ec/curve448/constant_time.h b/crypto/ec/curve448/constant_time.h index 25b6a49fe4..e6b055cc8f 100644 --- a/crypto/ec/curve448/constant_time.h +++ b/crypto/ec/curve448/constant_time.h @@ -11,10 +11,10 @@ */ #ifndef __CONSTANT_TIME_H__ -#define __CONSTANT_TIME_H__ 1 +# define __CONSTANT_TIME_H__ 1 -#include "word.h" -#include +# include "word.h" +# include /* * Constant-time operations on hopefully-compile-time-sized memory @@ -36,20 +36,19 @@ * 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 (; kunaligned - |= 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 (; kunaligned = - ( 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 (; kx ); - 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= 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; klimb[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; ilimb[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 control_pre[0].power) { pniels_to_pt(combo, precmp_var[control_var[0].addend >> 1]); contv++; - } else if (i == control_pre[0].power && i >=0 ) { + } 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], diff --git a/crypto/ec/curve448/curve448_tables.c b/crypto/ec/curve448/curve448_tables.c index 1cbe56f5e4..d363ec13d7 100644 --- a/crypto/ec/curve448/curve448_tables.c +++ b/crypto/ec/curve448/curve448_tables.c @@ -14,344 +14,1357 @@ #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)}, - 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{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)}, - 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{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)} }; diff --git a/crypto/ec/curve448/curve448_test.c b/crypto/ec/curve448/curve448_test.c index 7469a30912..c63bded7d5 100644 --- a/crypto/ec/curve448/curve448_test.c +++ b/crypto/ec/curve448/curve448_test.c @@ -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; } } diff --git a/crypto/ec/curve448/curve448utils.h b/crypto/ec/curve448/curve448utils.h index b69ecd2615..edeedef7a2 100644 --- a/crypto/ec/curve448/curve448utils.h +++ b/crypto/ec/curve448/curve448utils.h @@ -11,47 +11,47 @@ */ #ifndef __DECAF_COMMON_H__ -#define __DECAF_COMMON_H__ 1 +# define __DECAF_COMMON_H__ 1 -#include +# include #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__ */ diff --git a/crypto/ec/curve448/ed448.h b/crypto/ec/curve448/ed448.h index a3d3029bd7..a8064bec7d 100644 --- a/crypto/ec/curve448/ed448.h +++ b/crypto/ec/curve448/ed448.h @@ -11,31 +11,31 @@ */ #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__ */ diff --git a/crypto/ec/curve448/eddsa.c b/crypto/ec/curve448/eddsa.c index 27f1fd5d0f..0bf9b23cbf 100644 --- a/crypto/ec/curve448/eddsa.c +++ b/crypto/ec/curve448/eddsa.c @@ -27,12 +27,12 @@ #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 -#include +# include "constant_time.h" +# include +# include -#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[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; ilimb[LIMBPERM(i)] = (ilimb[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; ilimb[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; ilimb[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; ilimb[LIMBPERM(i)]; } diff --git a/crypto/ec/curve448/field.h b/crypto/ec/curve448/field.h index dcc3cc638c..8100fe638a 100644 --- a/crypto/ec/curve448/field.h +++ b/crypto/ec/curve448/field.h @@ -11,85 +11,90 @@ */ #ifndef __GF_H__ -#define __GF_H__ +# define __GF_H__ + +# include "constant_time.h" +# include "f_field.h" +# include -#include "constant_time.h" -#include "f_field.h" -#include - /** 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__ */ diff --git a/crypto/ec/curve448/point_448.h b/crypto/ec/curve448/point_448.h index 898574293c..148eef68f7 100644 --- a/crypto/ec/curve448/point_448.h +++ b/crypto/ec/curve448/point_448.h @@ -11,52 +11,52 @@ */ #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__ */ diff --git a/crypto/ec/curve448/scalar.c b/crypto/ec/curve448/scalar.c index a575a10e54..5090fcf3d8 100644 --- a/crypto/ec/curve448/scalar.c +++ b/crypto/ec/curve448/scalar.c @@ -15,110 +15,114 @@ #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; ilimb[i]; out->limb[i] = chain; chain >>= WBITS; } - borrow = chain+extra; /* = 0 or -1 */ - + borrow = chain + extra; /* = 0 or -1 */ + chain = 0; - for (i=0; ilimb[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; ilimb[i]; const decaf_word_t *mier = b->limb; - + decaf_dword_t chain = 0; - for (j=0; j>= WBITS; } accum[j] = chain; - + mand = accum[0] * MONTGOMERY_FACTOR; chain = 0; mier = sc_p->limb; - for (j=0; j>= 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; ilimb[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; ilimb[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; ilimb[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; ilimb[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; ilimb[i]) + (sc_p->limb[i] & mask); out->limb[i] = chain; chain >>= DECAF_WORD_BITS; } - for (i=0; ilimb[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); } - diff --git a/crypto/ec/curve448/word.h b/crypto/ec/curve448/word.h index 0c4c5e0680..d4e940d1d6 100644 --- a/crypto/ec/curve448/word.h +++ b/crypto/ec/curve448/word.h @@ -11,208 +11,212 @@ */ #ifndef __WORD_H__ -#define __WORD_H__ - -#include - -#include -#include -#include "arch_intrinsics.h" - -#include "curve448utils.h" - -#ifndef _BSD_SOURCE -#define _BSD_SOURCE 1 -#endif - -#ifndef _DEFAULT_SOURCE -#define _DEFAULT_SOURCE 1 -#endif - -#include - -#if defined(__ARM_NEON__) -#include -#elif defined(__SSE2__) - #if !defined(__GNUC__) || defined(__clang__) || __GNUC__ >= 5 || (__GNUC__==4 && __GNUC_MINOR__ >= 4) - #include - #else - #include - #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 + +# include +# include +# include "arch_intrinsics.h" + +# include "curve448utils.h" + +# ifndef _BSD_SOURCE +# define _BSD_SOURCE 1 +# endif + +# ifndef _DEFAULT_SOURCE +# define _DEFAULT_SOURCE 1 +# endif + +# include + +# if defined(__ARM_NEON__) +# include +# elif defined(__SSE2__) +# if !defined(__GNUC__) || defined(__clang__) || __GNUC__ >= 5 || (__GNUC__==4 && __GNUC_MINOR__ >= 4) +# include +# else +# include +# 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> (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__ */ -- 2.25.1