Speed tweaks for signatures, etc.

2 files changed, 1339 insertions, 1321 deletions

diff --git a/node/C25519.cpp b/node/C25519.cpp
index 2a5575aa..3ff6310f 100644
--- a/node/C25519.cpp
+++ b/node/C25519.cpp
@@ -20,7 +20,7 @@ Derived from public domain code by D. J. Bernstein.
 #pragma warning(disable: 4146)
 #endif
 
-namespace ZeroTier {
+namespace {
 
 //////////////////////////////////////////////////////////////////////////////
 //////////////////////////////////////////////////////////////////////////////
@@ -31,265 +31,265 @@ namespace ZeroTier {
 #define crypto_uint64 uint64_t
 #define crypto_hash_sha512_BYTES 64
 
-static inline void add(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+void add(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
 {
-  unsigned int j;
-  unsigned int u;
-  u = 0;
-  for (j = 0;j < 31;++j) { u += a[j] + b[j]; out[j] = u & 255; u >>= 8; }
-  u += a[31] + b[31]; out[31] = u;
+	unsigned int j;
+	unsigned int u;
+	u = 0;
+	for (j = 0;j < 31;++j) { u += a[j] + b[j]; out[j] = u & 255; u >>= 8; }
+	u += a[31] + b[31]; out[31] = u;
 }
 
-static inline void sub(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+void sub(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
 {
-  unsigned int j;
-  unsigned int u;
-  u = 218;
-  for (j = 0;j < 31;++j) {
-    u += a[j] + 65280 - b[j];
-    out[j] = u & 255;
-    u >>= 8;
-  }
-  u += a[31] - b[31];
-  out[31] = u;
+	unsigned int j;
+	unsigned int u;
+	u = 218;
+	for (j = 0;j < 31;++j) {
+		u += a[j] + 65280 - b[j];
+		out[j] = u & 255;
+		u >>= 8;
+	}
+	u += a[31] - b[31];
+	out[31] = u;
 }
 
-static inline void squeeze(unsigned int a[32])
+void squeeze(unsigned int a[32])
 {
-  unsigned int j;
-  unsigned int u;
-  u = 0;
-  for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; }
-  u += a[31]; a[31] = u & 127;
-  u = 19 * (u >> 7);
-  for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; }
-  u += a[31]; a[31] = u;
+	unsigned int j;
+	unsigned int u;
+	u = 0;
+	for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; }
+	u += a[31]; a[31] = u & 127;
+	u = 19 * (u >> 7);
+	for (j = 0;j < 31;++j) { u += a[j]; a[j] = u & 255; u >>= 8; }
+	u += a[31]; a[31] = u;
 }
 
 static const unsigned int minusp[32] = {
  19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128
 } ;
 
-static inline void freeze(unsigned int a[32])
+void freeze(unsigned int a[32])
 {
-  unsigned int aorig[32];
-  unsigned int j;
-  unsigned int negative;
+	unsigned int aorig[32];
+	unsigned int j;
+	unsigned int negative;
 
-  for (j = 0;j < 32;++j) aorig[j] = a[j];
-  add(a,a,minusp);
-  negative = -((a[31] >> 7) & 1);
-  for (j = 0;j < 32;++j) a[j] ^= negative & (aorig[j] ^ a[j]);
+	for (j = 0;j < 32;++j) aorig[j] = a[j];
+	add(a,a,minusp);
+	negative = -((a[31] >> 7) & 1);
+	for (j = 0;j < 32;++j) a[j] ^= negative & (aorig[j] ^ a[j]);
 }
 
-static inline void mult(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
+void mult(unsigned int out[32],const unsigned int a[32],const unsigned int b[32])
 {
-  unsigned int i;
-  unsigned int j;
-  unsigned int u;
+	unsigned int i;
+	unsigned int j;
+	unsigned int u;
 
-  for (i = 0;i < 32;++i) {
-    u = 0;
-    for (j = 0;j <= i;++j) u += a[j] * b[i - j];
-    for (j = i + 1;j < 32;++j) u += 38 * a[j] * b[i + 32 - j];
-    out[i] = u;
-  }
-  squeeze(out);
+	for (i = 0;i < 32;++i) {
+		u = 0;
+		for (j = 0;j <= i;++j) u += a[j] * b[i - j];
+		for (j = i + 1;j < 32;++j) u += 38 * a[j] * b[i + 32 - j];
+		out[i] = u;
+	}
+	squeeze(out);
 }
 
-static inline void mult121665(unsigned int out[32],const unsigned int a[32])
+void mult121665(unsigned int out[32],const unsigned int a[32])
 {
-  unsigned int j;
-  unsigned int u;
+	unsigned int j;
+	unsigned int u;
 
-  u = 0;
-  for (j = 0;j < 31;++j) { u += 121665 * a[j]; out[j] = u & 255; u >>= 8; }
-  u += 121665 * a[31]; out[31] = u & 127;
-  u = 19 * (u >> 7);
-  for (j = 0;j < 31;++j) { u += out[j]; out[j] = u & 255; u >>= 8; }
-  u += out[j]; out[j] = u;
+	u = 0;
+	for (j = 0;j < 31;++j) { u += 121665 * a[j]; out[j] = u & 255; u >>= 8; }
+	u += 121665 * a[31]; out[31] = u & 127;
+	u = 19 * (u >> 7);
+	for (j = 0;j < 31;++j) { u += out[j]; out[j] = u & 255; u >>= 8; }
+	u += out[j]; out[j] = u;
 }
 
-static inline void square(unsigned int out[32],const unsigned int a[32])
+void square(unsigned int out[32],const unsigned int a[32])
 {
-  unsigned int i;
-  unsigned int j;
-  unsigned int u;
+	unsigned int i;
+	unsigned int j;
+	unsigned int u;
 
-  for (i = 0;i < 32;++i) {
-    u = 0;
-    for (j = 0;j < i - j;++j) u += a[j] * a[i - j];
-    for (j = i + 1;j < i + 32 - j;++j) u += 38 * a[j] * a[i + 32 - j];
-    u *= 2;
-    if ((i & 1) == 0) {
-      u += a[i / 2] * a[i / 2];
-      u += 38 * a[i / 2 + 16] * a[i / 2 + 16];
-    }
-    out[i] = u;
-  }
-  squeeze(out);
+	for (i = 0;i < 32;++i) {
+		u = 0;
+		for (j = 0;j < i - j;++j) u += a[j] * a[i - j];
+		for (j = i + 1;j < i + 32 - j;++j) u += 38 * a[j] * a[i + 32 - j];
+		u *= 2;
+		if ((i & 1) == 0) {
+			u += a[i / 2] * a[i / 2];
+			u += 38 * a[i / 2 + 16] * a[i / 2 + 16];
+		}
+		out[i] = u;
+	}
+	squeeze(out);
 }
 
-static inline void select(unsigned int p[64],unsigned int q[64],const unsigned int r[64],const unsigned int s[64],unsigned int b)
+void select(unsigned int p[64],unsigned int q[64],const unsigned int r[64],const unsigned int s[64],unsigned int b)
 {
-  unsigned int j;
-  unsigned int t;
-  unsigned int bminus1;
+	unsigned int j;
+	unsigned int t;
+	unsigned int bminus1;
 
-  bminus1 = b - 1;
-  for (j = 0;j < 64;++j) {
-    t = bminus1 & (r[j] ^ s[j]);
-    p[j] = s[j] ^ t;
-    q[j] = r[j] ^ t;
-  }
+	bminus1 = b - 1;
+	for (j = 0;j < 64;++j) {
+		t = bminus1 & (r[j] ^ s[j]);
+		p[j] = s[j] ^ t;
+		q[j] = r[j] ^ t;
+	}
 }
 
 static void mainloop(unsigned int work[64],const unsigned char e[32])
 {
-  unsigned int xzm1[64];
-  unsigned int xzm[64];
-  unsigned int xzmb[64];
-  unsigned int xzm1b[64];
-  unsigned int xznb[64];
-  unsigned int xzn1b[64];
-  unsigned int a0[64];
-  unsigned int a1[64];
-  unsigned int b0[64];
-  unsigned int b1[64];
-  unsigned int c1[64];
-  unsigned int r[32];
-  unsigned int s[32];
-  unsigned int t[32];
-  unsigned int u[32];
-  //unsigned int i;
-  unsigned int j;
-  unsigned int b;
-  int pos;
-
-  for (j = 0;j < 32;++j) xzm1[j] = work[j];
-  xzm1[32] = 1;
-  for (j = 33;j < 64;++j) xzm1[j] = 0;
-
-  xzm[0] = 1;
-  for (j = 1;j < 64;++j) xzm[j] = 0;
-
-  for (pos = 254;pos >= 0;--pos) {
-    b = e[pos / 8] >> (pos & 7);
-    b &= 1;
-    select(xzmb,xzm1b,xzm,xzm1,b);
-    add(a0,xzmb,xzmb + 32);
-    sub(a0 + 32,xzmb,xzmb + 32);
-    add(a1,xzm1b,xzm1b + 32);
-    sub(a1 + 32,xzm1b,xzm1b + 32);
-    square(b0,a0);
-    square(b0 + 32,a0 + 32);
-    mult(b1,a1,a0 + 32);
-    mult(b1 + 32,a1 + 32,a0);
-    add(c1,b1,b1 + 32);
-    sub(c1 + 32,b1,b1 + 32);
-    square(r,c1 + 32);
-    sub(s,b0,b0 + 32);
-    mult121665(t,s);
-    add(u,t,b0);
-    mult(xznb,b0,b0 + 32);
-    mult(xznb + 32,s,u);
-    square(xzn1b,c1);
-    mult(xzn1b + 32,r,work);
-    select(xzm,xzm1,xznb,xzn1b,b);
-  }
-
-  for (j = 0;j < 64;++j) work[j] = xzm[j];
+	unsigned int xzm1[64];
+	unsigned int xzm[64];
+	unsigned int xzmb[64];
+	unsigned int xzm1b[64];
+	unsigned int xznb[64];
+	unsigned int xzn1b[64];
+	unsigned int a0[64];
+	unsigned int a1[64];
+	unsigned int b0[64];
+	unsigned int b1[64];
+	unsigned int c1[64];
+	unsigned int r[32];
+	unsigned int s[32];
+	unsigned int t[32];
+	unsigned int u[32];
+	//unsigned int i;
+	unsigned int j;
+	unsigned int b;
+	int pos;
+
+	for (j = 0;j < 32;++j) xzm1[j] = work[j];
+	xzm1[32] = 1;
+	for (j = 33;j < 64;++j) xzm1[j] = 0;
+
+	xzm[0] = 1;
+	for (j = 1;j < 64;++j) xzm[j] = 0;
+
+	for (pos = 254;pos >= 0;--pos) {
+		b = e[pos / 8] >> (pos & 7);
+		b &= 1;
+		select(xzmb,xzm1b,xzm,xzm1,b);
+		add(a0,xzmb,xzmb + 32);
+		sub(a0 + 32,xzmb,xzmb + 32);
+		add(a1,xzm1b,xzm1b + 32);
+		sub(a1 + 32,xzm1b,xzm1b + 32);
+		square(b0,a0);
+		square(b0 + 32,a0 + 32);
+		mult(b1,a1,a0 + 32);
+		mult(b1 + 32,a1 + 32,a0);
+		add(c1,b1,b1 + 32);
+		sub(c1 + 32,b1,b1 + 32);
+		square(r,c1 + 32);
+		sub(s,b0,b0 + 32);
+		mult121665(t,s);
+		add(u,t,b0);
+		mult(xznb,b0,b0 + 32);
+		mult(xznb + 32,s,u);
+		square(xzn1b,c1);
+		mult(xzn1b + 32,r,work);
+		select(xzm,xzm1,xznb,xzn1b,b);
+	}
+
+	for (j = 0;j < 64;++j) work[j] = xzm[j];
 }
 
 static void recip(unsigned int out[32],const unsigned int z[32])
 {
-  unsigned int z2[32];
-  unsigned int z9[32];
-  unsigned int z11[32];
-  unsigned int z2_5_0[32];
-  unsigned int z2_10_0[32];
-  unsigned int z2_20_0[32];
-  unsigned int z2_50_0[32];
-  unsigned int z2_100_0[32];
-  unsigned int t0[32];
-  unsigned int t1[32];
-  int i;
-
-  /* 2 */ square(z2,z);
-  /* 4 */ square(t1,z2);
-  /* 8 */ square(t0,t1);
-  /* 9 */ mult(z9,t0,z);
-  /* 11 */ mult(z11,z9,z2);
-  /* 22 */ square(t0,z11);
-  /* 2^5 - 2^0 = 31 */ mult(z2_5_0,t0,z9);
-
-  /* 2^6 - 2^1 */ square(t0,z2_5_0);
-  /* 2^7 - 2^2 */ square(t1,t0);
-  /* 2^8 - 2^3 */ square(t0,t1);
-  /* 2^9 - 2^4 */ square(t1,t0);
-  /* 2^10 - 2^5 */ square(t0,t1);
-  /* 2^10 - 2^0 */ mult(z2_10_0,t0,z2_5_0);
-
-  /* 2^11 - 2^1 */ square(t0,z2_10_0);
-  /* 2^12 - 2^2 */ square(t1,t0);
-  /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t0,t1); square(t1,t0); }
-  /* 2^20 - 2^0 */ mult(z2_20_0,t1,z2_10_0);
-
-  /* 2^21 - 2^1 */ square(t0,z2_20_0);
-  /* 2^22 - 2^2 */ square(t1,t0);
-  /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { square(t0,t1); square(t1,t0); }
-  /* 2^40 - 2^0 */ mult(t0,t1,z2_20_0);
-
-  /* 2^41 - 2^1 */ square(t1,t0);
-  /* 2^42 - 2^2 */ square(t0,t1);
-  /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t1,t0); square(t0,t1); }
-  /* 2^50 - 2^0 */ mult(z2_50_0,t0,z2_10_0);
-
-  /* 2^51 - 2^1 */ square(t0,z2_50_0);
-  /* 2^52 - 2^2 */ square(t1,t0);
-  /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); }
-  /* 2^100 - 2^0 */ mult(z2_100_0,t1,z2_50_0);
-
-  /* 2^101 - 2^1 */ square(t1,z2_100_0);
-  /* 2^102 - 2^2 */ square(t0,t1);
-  /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { square(t1,t0); square(t0,t1); }
-  /* 2^200 - 2^0 */ mult(t1,t0,z2_100_0);
-
-  /* 2^201 - 2^1 */ square(t0,t1);
-  /* 2^202 - 2^2 */ square(t1,t0);
-  /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); }
-  /* 2^250 - 2^0 */ mult(t0,t1,z2_50_0);
-
-  /* 2^251 - 2^1 */ square(t1,t0);
-  /* 2^252 - 2^2 */ square(t0,t1);
-  /* 2^253 - 2^3 */ square(t1,t0);
-  /* 2^254 - 2^4 */ square(t0,t1);
-  /* 2^255 - 2^5 */ square(t1,t0);
-  /* 2^255 - 21 */ mult(out,t1,z11);
-}
-
-static inline int crypto_scalarmult(unsigned char *q,const unsigned char *n,const unsigned char *p)
-{
-  unsigned int work[96];
-  unsigned char e[32];
-  unsigned int i;
-  for (i = 0;i < 32;++i) e[i] = n[i];
-  e[0] &= 248;
-  e[31] &= 127;
-  e[31] |= 64;
-  for (i = 0;i < 32;++i) work[i] = p[i];
-  mainloop(work,e);
-  recip(work + 32,work + 32);
-  mult(work + 64,work,work + 32);
-  freeze(work + 64);
-  for (i = 0;i < 32;++i) q[i] = work[64 + i];
-  return 0;
+	unsigned int z2[32];
+	unsigned int z9[32];
+	unsigned int z11[32];
+	unsigned int z2_5_0[32];
+	unsigned int z2_10_0[32];
+	unsigned int z2_20_0[32];
+	unsigned int z2_50_0[32];
+	unsigned int z2_100_0[32];
+	unsigned int t0[32];
+	unsigned int t1[32];
+	int i;
+
+	/* 2 */ square(z2,z);
+	/* 4 */ square(t1,z2);
+	/* 8 */ square(t0,t1);
+	/* 9 */ mult(z9,t0,z);
+	/* 11 */ mult(z11,z9,z2);
+	/* 22 */ square(t0,z11);
+	/* 2^5 - 2^0 = 31 */ mult(z2_5_0,t0,z9);
+
+	/* 2^6 - 2^1 */ square(t0,z2_5_0);
+	/* 2^7 - 2^2 */ square(t1,t0);
+	/* 2^8 - 2^3 */ square(t0,t1);
+	/* 2^9 - 2^4 */ square(t1,t0);
+	/* 2^10 - 2^5 */ square(t0,t1);
+	/* 2^10 - 2^0 */ mult(z2_10_0,t0,z2_5_0);
+
+	/* 2^11 - 2^1 */ square(t0,z2_10_0);
+	/* 2^12 - 2^2 */ square(t1,t0);
+	/* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t0,t1); square(t1,t0); }
+	/* 2^20 - 2^0 */ mult(z2_20_0,t1,z2_10_0);
+
+	/* 2^21 - 2^1 */ square(t0,z2_20_0);
+	/* 2^22 - 2^2 */ square(t1,t0);
+	/* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { square(t0,t1); square(t1,t0); }
+	/* 2^40 - 2^0 */ mult(t0,t1,z2_20_0);
+
+	/* 2^41 - 2^1 */ square(t1,t0);
+	/* 2^42 - 2^2 */ square(t0,t1);
+	/* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { square(t1,t0); square(t0,t1); }
+	/* 2^50 - 2^0 */ mult(z2_50_0,t0,z2_10_0);
+
+	/* 2^51 - 2^1 */ square(t0,z2_50_0);
+	/* 2^52 - 2^2 */ square(t1,t0);
+	/* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); }
+	/* 2^100 - 2^0 */ mult(z2_100_0,t1,z2_50_0);
+
+	/* 2^101 - 2^1 */ square(t1,z2_100_0);
+	/* 2^102 - 2^2 */ square(t0,t1);
+	/* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { square(t1,t0); square(t0,t1); }
+	/* 2^200 - 2^0 */ mult(t1,t0,z2_100_0);
+
+	/* 2^201 - 2^1 */ square(t0,t1);
+	/* 2^202 - 2^2 */ square(t1,t0);
+	/* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { square(t0,t1); square(t1,t0); }
+	/* 2^250 - 2^0 */ mult(t0,t1,z2_50_0);
+
+	/* 2^251 - 2^1 */ square(t1,t0);
+	/* 2^252 - 2^2 */ square(t0,t1);
+	/* 2^253 - 2^3 */ square(t1,t0);
+	/* 2^254 - 2^4 */ square(t0,t1);
+	/* 2^255 - 2^5 */ square(t1,t0);
+	/* 2^255 - 21 */ mult(out,t1,z11);
+}
+
+int crypto_scalarmult(unsigned char *q,const unsigned char *n,const unsigned char *p)
+{
+	unsigned int work[96];
+	unsigned char e[32];
+	unsigned int i;
+	for (i = 0;i < 32;++i) e[i] = n[i];
+	e[0] &= 248;
+	e[31] &= 127;
+	e[31] |= 64;
+	for (i = 0;i < 32;++i) work[i] = p[i];
+	mainloop(work,e);
+	recip(work + 32,work + 32);
+	mult(work + 64,work,work + 32);
+	freeze(work + 64);
+	for (i = 0;i < 32;++i) q[i] = work[64 + i];
+	return 0;
 }
 
 static const unsigned char base[32] = {9};
-static inline int crypto_scalarmult_base(unsigned char *q,const unsigned char *n)
+int crypto_scalarmult_base(unsigned char *q,const unsigned char *n)
 {
-  return crypto_scalarmult(q,n,base);
+	return crypto_scalarmult(q,n,base);
 }
 
 //////////////////////////////////////////////////////////////////////////////
@@ -300,588 +300,588 @@ static inline int crypto_scalarmult_base(unsigned char *q,const unsigned char *n
 
 // Also public domain, newer version than the Ed25519 found in NaCl
 
-typedef struct 
+typedef struct
 {
-  crypto_uint32 v[32]; 
+	crypto_uint32 v[32];
 }
 fe25519;
 
 static void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y);
 
-static inline crypto_uint32 equal(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
+crypto_uint32 equal(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
 {
-  crypto_uint32 x = a ^ b; /* 0: yes; 1..65535: no */
-  x -= 1; /* 4294967295: yes; 0..65534: no */
-  x >>= 31; /* 1: yes; 0: no */
-  return x;
+	crypto_uint32 x = a ^ b; /* 0: yes; 1..65535: no */
+	x -= 1; /* 4294967295: yes; 0..65534: no */
+	x >>= 31; /* 1: yes; 0: no */
+	return x;
 }
 
-static inline crypto_uint32 ge(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
+crypto_uint32 ge(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
 {
-  unsigned int x = a;
-  x -= (unsigned int) b; /* 0..65535: yes; 4294901761..4294967295: no */
-  x >>= 31; /* 0: yes; 1: no */
-  x ^= 1; /* 1: yes; 0: no */
-  return x;
+	unsigned int x = a;
+	x -= (unsigned int) b; /* 0..65535: yes; 4294901761..4294967295: no */
+	x >>= 31; /* 0: yes; 1: no */
+	x ^= 1; /* 1: yes; 0: no */
+	return x;
 }
 
-static inline crypto_uint32 times19(crypto_uint32 a)
+crypto_uint32 times19(crypto_uint32 a)
 {
-  return (a << 4) + (a << 1) + a;
+	return (a << 4) + (a << 1) + a;
 }
 
-static inline crypto_uint32 times38(crypto_uint32 a)
+crypto_uint32 times38(crypto_uint32 a)
 {
-  return (a << 5) + (a << 2) + (a << 1);
+	return (a << 5) + (a << 2) + (a << 1);
 }
 
-static inline void reduce_add_sub(fe25519 *r)
+void reduce_add_sub(fe25519 *r)
 {
-  crypto_uint32 t;
-  int i,rep;
+	crypto_uint32 t;
+	int i,rep;
 
-  for(rep=0;rep<4;rep++)
-  {
-    t = r->v[31] >> 7;
-    r->v[31] &= 127;
-    t = times19(t);
-    r->v[0] += t;
-    for(i=0;i<31;i++)
-    {
-      t = r->v[i] >> 8;
-      r->v[i+1] += t;
-      r->v[i] &= 255;
-    }
-  }
+	for(rep=0;rep<4;rep++)
+	{
+		t = r->v[31] >> 7;
+		r->v[31] &= 127;
+		t = times19(t);
+		r->v[0] += t;
+		for(i=0;i<31;i++)
+		{
+			t = r->v[i] >> 8;
+			r->v[i+1] += t;
+			r->v[i] &= 255;
+		}
+	}
 }
 
-static inline void reduce_mul(fe25519 *r)
+void reduce_mul(fe25519 *r)
 {
-  crypto_uint32 t;
-  int i,rep;
+	crypto_uint32 t;
+	int i,rep;
 
-  for(rep=0;rep<2;rep++)
-  {
-    t = r->v[31] >> 7;
-    r->v[31] &= 127;
-    t = times19(t);
-    r->v[0] += t;
-    for(i=0;i<31;i++)
-    {
-      t = r->v[i] >> 8;
-      r->v[i+1] += t;
-      r->v[i] &= 255;
-    }
-  }
+	for(rep=0;rep<2;rep++)
+	{
+		t = r->v[31] >> 7;
+		r->v[31] &= 127;
+		t = times19(t);
+		r->v[0] += t;
+		for(i=0;i<31;i++)
+		{
+			t = r->v[i] >> 8;
+			r->v[i+1] += t;
+			r->v[i] &= 255;
+		}
+	}
 }
 
 /* reduction modulo 2^255-19 */
-static inline void fe25519_freeze(fe25519 *r) 
+void fe25519_freeze(fe25519 *r)
 {
-  int i;
-  crypto_uint32 m = equal(r->v[31],127);
-  for(i=30;i>0;i--)
-    m &= equal(r->v[i],255);
-  m &= ge(r->v[0],237);
+	int i;
+	crypto_uint32 m = equal(r->v[31],127);
+	for(i=30;i>0;i--)
+		m &= equal(r->v[i],255);
+	m &= ge(r->v[0],237);
 
-  m = -m;
+	m = -m;
 
-  r->v[31] -= m&127;
-  for(i=30;i>0;i--)
-    r->v[i] -= m&255;
-  r->v[0] -= m&237;
+	r->v[31] -= m&127;
+	for(i=30;i>0;i--)
+		r->v[i] -= m&255;
+	r->v[0] -= m&237;
 }
 
-static inline void fe25519_unpack(fe25519 *r, const unsigned char x[32])
+void fe25519_unpack(fe25519 *r, const unsigned char x[32])
 {
-  int i;
-  for(i=0;i<32;i++) r->v[i] = x[i];
-  r->v[31] &= 127;
+	int i;
+	for(i=0;i<32;i++) r->v[i] = x[i];
+	r->v[31] &= 127;
 }
 
 /* Assumes input x being reduced below 2^255 */
-static inline void fe25519_pack(unsigned char r[32], const fe25519 *x)
+void fe25519_pack(unsigned char r[32], const fe25519 *x)
 {
-  int i;
-  fe25519 y = *x;
-  fe25519_freeze(&y);
-  for(i=0;i<32;i++) 
-    r[i] = y.v[i];
+	int i;
+	fe25519 y = *x;
+	fe25519_freeze(&y);
+	for(i=0;i<32;i++)
+		r[i] = y.v[i];
 }
 
-static inline int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y)
+int fe25519_iseq_vartime(const fe25519 *x, const fe25519 *y)
 {
-  int i;
-  fe25519 t1 = *x;
-  fe25519 t2 = *y;
-  fe25519_freeze(&t1);
-  fe25519_freeze(&t2);
-  for(i=0;i<32;i++)
-    if(t1.v[i] != t2.v[i]) return 0;
-  return 1;
+	int i;
+	fe25519 t1 = *x;
+	fe25519 t2 = *y;
+	fe25519_freeze(&t1);
+	fe25519_freeze(&t2);
+	for(i=0;i<32;i++)
+		if(t1.v[i] != t2.v[i]) return 0;
+	return 1;
 }
 
-static inline void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b)
+void fe25519_cmov(fe25519 *r, const fe25519 *x, unsigned char b)
 {
-  int i;
-  crypto_uint32 mask = b;
-  mask = -mask;
-  for(i=0;i<32;i++) r->v[i] ^= mask & (x->v[i] ^ r->v[i]);
+	int i;
+	crypto_uint32 mask = b;
+	mask = -mask;
+	for(i=0;i<32;i++) r->v[i] ^= mask & (x->v[i] ^ r->v[i]);
 }
 
-static inline unsigned char fe25519_getparity(const fe25519 *x)
+unsigned char fe25519_getparity(const fe25519 *x)
 {
-  fe25519 t = *x;
-  fe25519_freeze(&t);
-  return t.v[0] & 1;
+	fe25519 t = *x;
+	fe25519_freeze(&t);
+	return t.v[0] & 1;
 }
 
-static inline void fe25519_setone(fe25519 *r)
+void fe25519_setone(fe25519 *r)
 {
-  int i;
-  r->v[0] = 1;
-  for(i=1;i<32;i++) r->v[i]=0;
+	int i;
+	r->v[0] = 1;
+	for(i=1;i<32;i++) r->v[i]=0;
 }
 
-static inline void fe25519_setzero(fe25519 *r)
+void fe25519_setzero(fe25519 *r)
 {
-  int i;
-  for(i=0;i<32;i++) r->v[i]=0;
+	int i;
+	for(i=0;i<32;i++) r->v[i]=0;
 }
 
-static inline void fe25519_neg(fe25519 *r, const fe25519 *x)
+void fe25519_neg(fe25519 *r, const fe25519 *x)
 {
-  fe25519 t;
-  int i;
-  for(i=0;i<32;i++) t.v[i]=x->v[i];
-  fe25519_setzero(r);
-  fe25519_sub(r, r, &t);
+	fe25519 t;
+	int i;
+	for(i=0;i<32;i++) t.v[i]=x->v[i];
+	fe25519_setzero(r);
+	fe25519_sub(r, r, &t);
 }
 
-static inline void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y)
+void fe25519_add(fe25519 *r, const fe25519 *x, const fe25519 *y)
 {
-  int i;
-  for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i];
-  reduce_add_sub(r);
+	int i;
+	for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i];
+	reduce_add_sub(r);
 }
 
-static inline void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y)
+void fe25519_sub(fe25519 *r, const fe25519 *x, const fe25519 *y)
 {
-  int i;
-  crypto_uint32 t[32];
-  t[0] = x->v[0] + 0x1da;
-  t[31] = x->v[31] + 0xfe;
-  for(i=1;i<31;i++) t[i] = x->v[i] + 0x1fe;
-  for(i=0;i<32;i++) r->v[i] = t[i] - y->v[i];
-  reduce_add_sub(r);
+	int i;
+	crypto_uint32 t[32];
+	t[0] = x->v[0] + 0x1da;
+	t[31] = x->v[31] + 0xfe;
+	for(i=1;i<31;i++) t[i] = x->v[i] + 0x1fe;
+	for(i=0;i<32;i++) r->v[i] = t[i] - y->v[i];
+	reduce_add_sub(r);
 }
 
-static inline void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y)
+void fe25519_mul(fe25519 *r, const fe25519 *x, const fe25519 *y)
 {
-  int i,j;
-  crypto_uint32 t[63];
-  for(i=0;i<63;i++)t[i] = 0;
+	int i,j;
+	crypto_uint32 t[63];
+	for(i=0;i<63;i++)t[i] = 0;
 
-  for(i=0;i<32;i++)
-    for(j=0;j<32;j++)
-      t[i+j] += x->v[i] * y->v[j];
+	for(i=0;i<32;i++)
+		for(j=0;j<32;j++)
+			t[i+j] += x->v[i] * y->v[j];
 
-  for(i=32;i<63;i++)
-    r->v[i-32] = t[i-32] + times38(t[i]); 
-  r->v[31] = t[31]; /* result now in r[0]...r[31] */
+	for(i=32;i<63;i++)
+		r->v[i-32] = t[i-32] + times38(t[i]);
+	r->v[31] = t[31]; /* result now in r[0]...r[31] */
 
-  reduce_mul(r);
+	reduce_mul(r);
 }
 
-static inline void fe25519_square(fe25519 *r, const fe25519 *x)
+void fe25519_square(fe25519 *r, const fe25519 *x)
 {
-  fe25519_mul(r, x, x);
+	fe25519_mul(r, x, x);
 }
 
-static void fe25519_invert(fe25519 *r, const fe25519 *x)
+void fe25519_invert(fe25519 *r, const fe25519 *x)
 {
-  fe25519 z2;
-  fe25519 z9;
-  fe25519 z11;
-  fe25519 z2_5_0;
-  fe25519 z2_10_0;
-  fe25519 z2_20_0;
-  fe25519 z2_50_0;
-  fe25519 z2_100_0;
-  fe25519 t0;
-  fe25519 t1;
-  int i;
-  
-  /* 2 */ fe25519_square(&z2,x);
-  /* 4 */ fe25519_square(&t1,&z2);
-  /* 8 */ fe25519_square(&t0,&t1);
-  /* 9 */ fe25519_mul(&z9,&t0,x);
-  /* 11 */ fe25519_mul(&z11,&z9,&z2);
-  /* 22 */ fe25519_square(&t0,&z11);
-  /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0,&t0,&z9);
+	fe25519 z2;
+	fe25519 z9;
+	fe25519 z11;
+	fe25519 z2_5_0;
+	fe25519 z2_10_0;
+	fe25519 z2_20_0;
+	fe25519 z2_50_0;
+	fe25519 z2_100_0;
+	fe25519 t0;
+	fe25519 t1;
+	int i;
 
-  /* 2^6 - 2^1 */ fe25519_square(&t0,&z2_5_0);
-  /* 2^7 - 2^2 */ fe25519_square(&t1,&t0);
-  /* 2^8 - 2^3 */ fe25519_square(&t0,&t1);
-  /* 2^9 - 2^4 */ fe25519_square(&t1,&t0);
-  /* 2^10 - 2^5 */ fe25519_square(&t0,&t1);
-  /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t0,&z2_5_0);
+	/* 2 */ fe25519_square(&z2,x);
+	/* 4 */ fe25519_square(&t1,&z2);
+	/* 8 */ fe25519_square(&t0,&t1);
+	/* 9 */ fe25519_mul(&z9,&t0,x);
+	/* 11 */ fe25519_mul(&z11,&z9,&z2);
+	/* 22 */ fe25519_square(&t0,&z11);
+	/* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0,&t0,&z9);
 
-  /* 2^11 - 2^1 */ fe25519_square(&t0,&z2_10_0);
-  /* 2^12 - 2^2 */ fe25519_square(&t1,&t0);
-  /* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
-  /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t1,&z2_10_0);
+	/* 2^6 - 2^1 */ fe25519_square(&t0,&z2_5_0);
+	/* 2^7 - 2^2 */ fe25519_square(&t1,&t0);
+	/* 2^8 - 2^3 */ fe25519_square(&t0,&t1);
+	/* 2^9 - 2^4 */ fe25519_square(&t1,&t0);
+	/* 2^10 - 2^5 */ fe25519_square(&t0,&t1);
+	/* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t0,&z2_5_0);
 
-  /* 2^21 - 2^1 */ fe25519_square(&t0,&z2_20_0);
-  /* 2^22 - 2^2 */ fe25519_square(&t1,&t0);
-  /* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
-  /* 2^40 - 2^0 */ fe25519_mul(&t0,&t1,&z2_20_0);
+	/* 2^11 - 2^1 */ fe25519_square(&t0,&z2_10_0);
+	/* 2^12 - 2^2 */ fe25519_square(&t1,&t0);
+	/* 2^20 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
+	/* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t1,&z2_10_0);
 
-  /* 2^41 - 2^1 */ fe25519_square(&t1,&t0);
-  /* 2^42 - 2^2 */ fe25519_square(&t0,&t1);
-  /* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); }
-  /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t0,&z2_10_0);
+	/* 2^21 - 2^1 */ fe25519_square(&t0,&z2_20_0);
+	/* 2^22 - 2^2 */ fe25519_square(&t1,&t0);
+	/* 2^40 - 2^20 */ for (i = 2;i < 20;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
+	/* 2^40 - 2^0 */ fe25519_mul(&t0,&t1,&z2_20_0);
 
-  /* 2^51 - 2^1 */ fe25519_square(&t0,&z2_50_0);
-  /* 2^52 - 2^2 */ fe25519_square(&t1,&t0);
-  /* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
-  /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t1,&z2_50_0);
+	/* 2^41 - 2^1 */ fe25519_square(&t1,&t0);
+	/* 2^42 - 2^2 */ fe25519_square(&t0,&t1);
+	/* 2^50 - 2^10 */ for (i = 2;i < 10;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); }
+	/* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t0,&z2_10_0);
 
-  /* 2^101 - 2^1 */ fe25519_square(&t1,&z2_100_0);
-  /* 2^102 - 2^2 */ fe25519_square(&t0,&t1);
-  /* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); }
-  /* 2^200 - 2^0 */ fe25519_mul(&t1,&t0,&z2_100_0);
-
-  /* 2^201 - 2^1 */ fe25519_square(&t0,&t1);
-  /* 2^202 - 2^2 */ fe25519_square(&t1,&t0);
-  /* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
-  /* 2^250 - 2^0 */ fe25519_mul(&t0,&t1,&z2_50_0);
+	/* 2^51 - 2^1 */ fe25519_square(&t0,&z2_50_0);
+	/* 2^52 - 2^2 */ fe25519_square(&t1,&t0);
+	/* 2^100 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
+	/* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t1,&z2_50_0);
 
-  /* 2^251 - 2^1 */ fe25519_square(&t1,&t0);
-  /* 2^252 - 2^2 */ fe25519_square(&t0,&t1);
-  /* 2^253 - 2^3 */ fe25519_square(&t1,&t0);
-  /* 2^254 - 2^4 */ fe25519_square(&t0,&t1);
-  /* 2^255 - 2^5 */ fe25519_square(&t1,&t0);
-  /* 2^255 - 21 */ fe25519_mul(r,&t1,&z11);
-}
-
-static void fe25519_pow2523(fe25519 *r, const fe25519 *x)
-{
-  fe25519 z2;
-  fe25519 z9;
-  fe25519 z11;
-  fe25519 z2_5_0;
-  fe25519 z2_10_0;
-  fe25519 z2_20_0;
-  fe25519 z2_50_0;
-  fe25519 z2_100_0;
-  fe25519 t;
-  int i;
-    
-  /* 2 */ fe25519_square(&z2,x);
-  /* 4 */ fe25519_square(&t,&z2);
-  /* 8 */ fe25519_square(&t,&t);
-  /* 9 */ fe25519_mul(&z9,&t,x);
-  /* 11 */ fe25519_mul(&z11,&z9,&z2);
-  /* 22 */ fe25519_square(&t,&z11);
-  /* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0,&t,&z9);
-
-  /* 2^6 - 2^1 */ fe25519_square(&t,&z2_5_0);
-  /* 2^10 - 2^5 */ for (i = 1;i < 5;i++) { fe25519_square(&t,&t); }
-  /* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t,&z2_5_0);
-
-  /* 2^11 - 2^1 */ fe25519_square(&t,&z2_10_0);
-  /* 2^20 - 2^10 */ for (i = 1;i < 10;i++) { fe25519_square(&t,&t); }
-  /* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t,&z2_10_0);
-
-  /* 2^21 - 2^1 */ fe25519_square(&t,&z2_20_0);
-  /* 2^40 - 2^20 */ for (i = 1;i < 20;i++) { fe25519_square(&t,&t); }
-  /* 2^40 - 2^0 */ fe25519_mul(&t,&t,&z2_20_0);
-
-  /* 2^41 - 2^1 */ fe25519_square(&t,&t);
-  /* 2^50 - 2^10 */ for (i = 1;i < 10;i++) { fe25519_square(&t,&t); }
-  /* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t,&z2_10_0);
-
-  /* 2^51 - 2^1 */ fe25519_square(&t,&z2_50_0);
-  /* 2^100 - 2^50 */ for (i = 1;i < 50;i++) { fe25519_square(&t,&t); }
-  /* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t,&z2_50_0);
-
-  /* 2^101 - 2^1 */ fe25519_square(&t,&z2_100_0);
-  /* 2^200 - 2^100 */ for (i = 1;i < 100;i++) { fe25519_square(&t,&t); }
-  /* 2^200 - 2^0 */ fe25519_mul(&t,&t,&z2_100_0);
-
-  /* 2^201 - 2^1 */ fe25519_square(&t,&t);
-  /* 2^250 - 2^50 */ for (i = 1;i < 50;i++) { fe25519_square(&t,&t); }
-  /* 2^250 - 2^0 */ fe25519_mul(&t,&t,&z2_50_0);
-
-  /* 2^251 - 2^1 */ fe25519_square(&t,&t);
-  /* 2^252 - 2^2 */ fe25519_square(&t,&t);
-  /* 2^252 - 3 */ fe25519_mul(r,&t,x);
-}
-
-typedef struct 
-{
-  crypto_uint32 v[32]; 
+	/* 2^101 - 2^1 */ fe25519_square(&t1,&z2_100_0);
+	/* 2^102 - 2^2 */ fe25519_square(&t0,&t1);
+	/* 2^200 - 2^100 */ for (i = 2;i < 100;i += 2) { fe25519_square(&t1,&t0); fe25519_square(&t0,&t1); }
+	/* 2^200 - 2^0 */ fe25519_mul(&t1,&t0,&z2_100_0);
+
+	/* 2^201 - 2^1 */ fe25519_square(&t0,&t1);
+	/* 2^202 - 2^2 */ fe25519_square(&t1,&t0);
+	/* 2^250 - 2^50 */ for (i = 2;i < 50;i += 2) { fe25519_square(&t0,&t1); fe25519_square(&t1,&t0); }
+	/* 2^250 - 2^0 */ fe25519_mul(&t0,&t1,&z2_50_0);
+
+	/* 2^251 - 2^1 */ fe25519_square(&t1,&t0);
+	/* 2^252 - 2^2 */ fe25519_square(&t0,&t1);
+	/* 2^253 - 2^3 */ fe25519_square(&t1,&t0);
+	/* 2^254 - 2^4 */ fe25519_square(&t0,&t1);
+	/* 2^255 - 2^5 */ fe25519_square(&t1,&t0);
+	/* 2^255 - 21 */ fe25519_mul(r,&t1,&z11);
+}
+
+void fe25519_pow2523(fe25519 *r, const fe25519 *x)
+{
+	fe25519 z2;
+	fe25519 z9;
+	fe25519 z11;
+	fe25519 z2_5_0;
+	fe25519 z2_10_0;
+	fe25519 z2_20_0;
+	fe25519 z2_50_0;
+	fe25519 z2_100_0;
+	fe25519 t;
+	int i;
+
+	/* 2 */ fe25519_square(&z2,x);
+	/* 4 */ fe25519_square(&t,&z2);
+	/* 8 */ fe25519_square(&t,&t);
+	/* 9 */ fe25519_mul(&z9,&t,x);
+	/* 11 */ fe25519_mul(&z11,&z9,&z2);
+	/* 22 */ fe25519_square(&t,&z11);
+	/* 2^5 - 2^0 = 31 */ fe25519_mul(&z2_5_0,&t,&z9);
+
+	/* 2^6 - 2^1 */ fe25519_square(&t,&z2_5_0);
+	/* 2^10 - 2^5 */ for (i = 1;i < 5;i++) { fe25519_square(&t,&t); }
+	/* 2^10 - 2^0 */ fe25519_mul(&z2_10_0,&t,&z2_5_0);
+
+	/* 2^11 - 2^1 */ fe25519_square(&t,&z2_10_0);
+	/* 2^20 - 2^10 */ for (i = 1;i < 10;i++) { fe25519_square(&t,&t); }
+	/* 2^20 - 2^0 */ fe25519_mul(&z2_20_0,&t,&z2_10_0);
+
+	/* 2^21 - 2^1 */ fe25519_square(&t,&z2_20_0);
+	/* 2^40 - 2^20 */ for (i = 1;i < 20;i++) { fe25519_square(&t,&t); }
+	/* 2^40 - 2^0 */ fe25519_mul(&t,&t,&z2_20_0);
+
+	/* 2^41 - 2^1 */ fe25519_square(&t,&t);
+	/* 2^50 - 2^10 */ for (i = 1;i < 10;i++) { fe25519_square(&t,&t); }
+	/* 2^50 - 2^0 */ fe25519_mul(&z2_50_0,&t,&z2_10_0);
+
+	/* 2^51 - 2^1 */ fe25519_square(&t,&z2_50_0);
+	/* 2^100 - 2^50 */ for (i = 1;i < 50;i++) { fe25519_square(&t,&t); }
+	/* 2^100 - 2^0 */ fe25519_mul(&z2_100_0,&t,&z2_50_0);
+
+	/* 2^101 - 2^1 */ fe25519_square(&t,&z2_100_0);
+	/* 2^200 - 2^100 */ for (i = 1;i < 100;i++) { fe25519_square(&t,&t); }
+	/* 2^200 - 2^0 */ fe25519_mul(&t,&t,&z2_100_0);
+
+	/* 2^201 - 2^1 */ fe25519_square(&t,&t);
+	/* 2^250 - 2^50 */ for (i = 1;i < 50;i++) { fe25519_square(&t,&t); }
+	/* 2^250 - 2^0 */ fe25519_mul(&t,&t,&z2_50_0);
+
+	/* 2^251 - 2^1 */ fe25519_square(&t,&t);
+	/* 2^252 - 2^2 */ fe25519_square(&t,&t);
+	/* 2^252 - 3 */ fe25519_mul(r,&t,x);
+}
+
+typedef struct
+{
+	crypto_uint32 v[32];
 }
 sc25519;
 
-typedef struct 
+typedef struct
 {
-  crypto_uint32 v[16]; 
+	crypto_uint32 v[16];
 }
 shortsc25519;
 
-static const crypto_uint32 m[32] = {0xED, 0xD3, 0xF5, 0x5C, 0x1A, 0x63, 0x12, 0x58, 0xD6, 0x9C, 0xF7, 0xA2, 0xDE, 0xF9, 0xDE, 0x14, 
-                                    0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10};
+static const crypto_uint32 m[32] = {0xED, 0xD3, 0xF5, 0x5C, 0x1A, 0x63, 0x12, 0x58, 0xD6, 0x9C, 0xF7, 0xA2, 0xDE, 0xF9, 0xDE, 0x14,
+																		0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10};
 
-static const crypto_uint32 mu[33] = {0x1B, 0x13, 0x2C, 0x0A, 0xA3, 0xE5, 0x9C, 0xED, 0xA7, 0x29, 0x63, 0x08, 0x5D, 0x21, 0x06, 0x21, 
-                                     0xEB, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0F};
+static const crypto_uint32 mu[33] = {0x1B, 0x13, 0x2C, 0x0A, 0xA3, 0xE5, 0x9C, 0xED, 0xA7, 0x29, 0x63, 0x08, 0x5D, 0x21, 0x06, 0x21,
+																		 0xEB, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x0F};
 
-static inline crypto_uint32 lt(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
+crypto_uint32 lt(crypto_uint32 a,crypto_uint32 b) /* 16-bit inputs */
 {
-  unsigned int x = a;
-  x -= (unsigned int) b; /* 0..65535: no; 4294901761..4294967295: yes */
-  x >>= 31; /* 0: no; 1: yes */
-  return x;
+	unsigned int x = a;
+	x -= (unsigned int) b; /* 0..65535: no; 4294901761..4294967295: yes */
+	x >>= 31; /* 0: no; 1: yes */
+	return x;
 }
 
 /* Reduce coefficients of r before calling reduce_add_sub */
-static inline void reduce_add_sub(sc25519 *r)
-{
-  crypto_uint32 pb = 0;
-  crypto_uint32 b;
-  crypto_uint32 mask;
-  int i;
-  unsigned char t[32];
-
-  for(i=0;i<32;i++) 
-  {
-    pb += m[i];
-    b = lt(r->v[i],pb);
-    t[i] = r->v[i]-pb+(b<<8);
-    pb = b;
-  }
-  mask = b - 1;
-  for(i=0;i<32;i++) 
-    r->v[i] ^= mask & (r->v[i] ^ t[i]);
+void reduce_add_sub(sc25519 *r)
+{
+	crypto_uint32 pb = 0;
+	crypto_uint32 b;
+	crypto_uint32 mask;
+	int i;
+	unsigned char t[32];
+
+	for(i=0;i<32;i++)
+	{
+		pb += m[i];
+		b = lt(r->v[i],pb);
+		t[i] = r->v[i]-pb+(b<<8);
+		pb = b;
+	}
+	mask = b - 1;
+	for(i=0;i<32;i++)
+		r->v[i] ^= mask & (r->v[i] ^ t[i]);
 }
 
 /* Reduce coefficients of x before calling barrett_reduce */
-static inline void barrett_reduce(sc25519 *r, const crypto_uint32 x[64])
+void barrett_reduce(sc25519 *r, const crypto_uint32 x[64])
+{
+	/* See HAC, Alg. 14.42 */
+	int i,j;
+	crypto_uint32 q2[66];
+	crypto_uint32 *q3 = q2 + 33;
+	crypto_uint32 r1[33];
+	crypto_uint32 r2[33];
+	crypto_uint32 carry;
+	crypto_uint32 pb = 0;
+	crypto_uint32 b;
+
+	for (i = 0;i < 66;++i) q2[i] = 0;
+	for (i = 0;i < 33;++i) r2[i] = 0;
+
+	for(i=0;i<33;i++)
+		for(j=0;j<33;j++)
+			if(i+j >= 31) q2[i+j] += mu[i]*x[j+31];
+	carry = q2[31] >> 8;
+	q2[32] += carry;
+	carry = q2[32] >> 8;
+	q2[33] += carry;
+
+	for(i=0;i<33;i++)r1[i] = x[i];
+	for(i=0;i<32;i++)
+		for(j=0;j<33;j++)
+			if(i+j < 33) r2[i+j] += m[i]*q3[j];
+
+	for(i=0;i<32;i++)
+	{
+		carry = r2[i] >> 8;
+		r2[i+1] += carry;
+		r2[i] &= 0xff;
+	}
+
+	for(i=0;i<32;i++)
+	{
+		pb += r2[i];
+		b = lt(r1[i],pb);
+		r->v[i] = r1[i]-pb+(b<<8);
+		pb = b;
+	}
+
+	/* XXX: Can it really happen that r<0?, See HAC, Alg 14.42, Step 3
+	 * If so: Handle  it here!
+	 */
+
+	reduce_add_sub(r);
+	reduce_add_sub(r);
+}
+
+void sc25519_from32bytes(sc25519 *r, const unsigned char x[32])
+{
+	int i;
+	crypto_uint32 t[64];
+	for(i=0;i<32;i++) t[i] = x[i];
+	for(i=32;i<64;++i) t[i] = 0;
+	barrett_reduce(r, t);
+}
+
+void sc25519_from64bytes(sc25519 *r, const unsigned char x[64])
 {
-  /* See HAC, Alg. 14.42 */
-  int i,j;
-  crypto_uint32 q2[66];
-  crypto_uint32 *q3 = q2 + 33;
-  crypto_uint32 r1[33];
-  crypto_uint32 r2[33];
-  crypto_uint32 carry;
-  crypto_uint32 pb = 0;
-  crypto_uint32 b;
+	int i;
+	crypto_uint32 t[64];
+	for(i=0;i<64;i++) t[i] = x[i];
+	barrett_reduce(r, t);
+}
 
-  for (i = 0;i < 66;++i) q2[i] = 0;
-  for (i = 0;i < 33;++i) r2[i] = 0;
+void sc25519_to32bytes(unsigned char r[32], const sc25519 *x)
+{
+	int i;
+	for(i=0;i<32;i++) r[i] = x->v[i];
+}
 
-  for(i=0;i<33;i++)
-    for(j=0;j<33;j++)
-      if(i+j >= 31) q2[i+j] += mu[i]*x[j+31];
-  carry = q2[31] >> 8;
-  q2[32] += carry;
-  carry = q2[32] >> 8;
-  q2[33] += carry;
-
-  for(i=0;i<33;i++)r1[i] = x[i];
-  for(i=0;i<32;i++)
-    for(j=0;j<33;j++)
-      if(i+j < 33) r2[i+j] += m[i]*q3[j];
-
-  for(i=0;i<32;i++)
-  {
-    carry = r2[i] >> 8;
-    r2[i+1] += carry;
-    r2[i] &= 0xff;
-  }
-
-  for(i=0;i<32;i++) 
-  {
-    pb += r2[i];
-    b = lt(r1[i],pb);
-    r->v[i] = r1[i]-pb+(b<<8);
-    pb = b;
-  }
-
-  /* XXX: Can it really happen that r<0?, See HAC, Alg 14.42, Step 3 
-   * If so: Handle  it here!
-   */
-
-  reduce_add_sub(r);
-  reduce_add_sub(r);
-}
-
-static inline void sc25519_from32bytes(sc25519 *r, const unsigned char x[32])
-{
-  int i;
-  crypto_uint32 t[64];
-  for(i=0;i<32;i++) t[i] = x[i];
-  for(i=32;i<64;++i) t[i] = 0;
-  barrett_reduce(r, t);
-}
-
-static inline void sc25519_from64bytes(sc25519 *r, const unsigned char x[64])
-{
-  int i;
-  crypto_uint32 t[64];
-  for(i=0;i<64;i++) t[i] = x[i];
-  barrett_reduce(r, t);
-}
-
-static inline void sc25519_to32bytes(unsigned char r[32], const sc25519 *x)
-{
-  int i;
-  for(i=0;i<32;i++) r[i] = x->v[i];
-}
-
-static inline void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y)
-{
-  int i, carry;
-  for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i];
-  for(i=0;i<31;i++)
-  {
-    carry = r->v[i] >> 8;
-    r->v[i+1] += carry;
-    r->v[i] &= 0xff;
-  }
-  reduce_add_sub(r);
-}
-
-static inline void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y)
-{
-  int i,j,carry;
-  crypto_uint32 t[64];
-  for(i=0;i<64;i++)t[i] = 0;
-
-  for(i=0;i<32;i++)
-    for(j=0;j<32;j++)
-      t[i+j] += x->v[i] * y->v[j];
-
-  /* Reduce coefficients */
-  for(i=0;i<63;i++)
-  {
-    carry = t[i] >> 8;
-    t[i+1] += carry;
-    t[i] &= 0xff;
-  }
-
-  barrett_reduce(r, t);
-}
-
-static inline void sc25519_window3(signed char r[85], const sc25519 *s)
-{
-  char carry;
-  int i;
-  for(i=0;i<10;i++)
-  {
-    r[8*i+0]  =  s->v[3*i+0]       & 7;
-    r[8*i+1]  = (s->v[3*i+0] >> 3) & 7;
-    r[8*i+2]  = (s->v[3*i+0] >> 6) & 7;
-    r[8*i+2] ^= (s->v[3*i+1] << 2) & 7;
-    r[8*i+3]  = (s->v[3*i+1] >> 1) & 7;
-    r[8*i+4]  = (s->v[3*i+1] >> 4) & 7;
-    r[8*i+5]  = (s->v[3*i+1] >> 7) & 7;
-    r[8*i+5] ^= (s->v[3*i+2] << 1) & 7;
-    r[8*i+6]  = (s->v[3*i+2] >> 2) & 7;
-    r[8*i+7]  = (s->v[3*i+2] >> 5) & 7;
-  }
-  r[8*i+0]  =  s->v[3*i+0]       & 7;
-  r[8*i+1]  = (s->v[3*i+0] >> 3) & 7;
-  r[8*i+2]  = (s->v[3*i+0] >> 6) & 7;
-  r[8*i+2] ^= (s->v[3*i+1] << 2) & 7;
-  r[8*i+3]  = (s->v[3*i+1] >> 1) & 7;
-  r[8*i+4]  = (s->v[3*i+1] >> 4) & 7;
-
-  /* Making it signed */
-  carry = 0;
-  for(i=0;i<84;i++)
-  {
-    r[i] += carry;
-    r[i+1] += r[i] >> 3;
-    r[i] &= 7;
-    carry = r[i] >> 2;
-    r[i] -= carry<<3;
-  }
-  r[84] += carry;
-}
-
-static inline void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2)
+void sc25519_add(sc25519 *r, const sc25519 *x, const sc25519 *y)
 {
-  int i;
-  for(i=0;i<31;i++)
-  {
-    r[4*i]   = ( s1->v[i]       & 3) ^ (( s2->v[i]       & 3) << 2);
-    r[4*i+1] = ((s1->v[i] >> 2) & 3) ^ (((s2->v[i] >> 2) & 3) << 2);
-    r[4*i+2] = ((s1->v[i] >> 4) & 3) ^ (((s2->v[i] >> 4) & 3) << 2);
-    r[4*i+3] = ((s1->v[i] >> 6) & 3) ^ (((s2->v[i] >> 6) & 3) << 2);
-  }
-  r[124] = ( s1->v[31]       & 3) ^ (( s2->v[31]       & 3) << 2);
-  r[125] = ((s1->v[31] >> 2) & 3) ^ (((s2->v[31] >> 2) & 3) << 2);
-  r[126] = ((s1->v[31] >> 4) & 3) ^ (((s2->v[31] >> 4) & 3) << 2);
+	int i, carry;
+	for(i=0;i<32;i++) r->v[i] = x->v[i] + y->v[i];
+	for(i=0;i<31;i++)
+	{
+		carry = r->v[i] >> 8;
+		r->v[i+1] += carry;
+		r->v[i] &= 0xff;
+	}
+	reduce_add_sub(r);
+}
+
+void sc25519_mul(sc25519 *r, const sc25519 *x, const sc25519 *y)
+{
+	int i,j,carry;
+	crypto_uint32 t[64];
+	for(i=0;i<64;i++)t[i] = 0;
+
+	for(i=0;i<32;i++)
+		for(j=0;j<32;j++)
+			t[i+j] += x->v[i] * y->v[j];
+
+	/* Reduce coefficients */
+	for(i=0;i<63;i++)
+	{
+		carry = t[i] >> 8;
+		t[i+1] += carry;
+		t[i] &= 0xff;
+	}
+
+	barrett_reduce(r, t);
+}
+
+void sc25519_window3(signed char r[85], const sc25519 *s)
+{
+	char carry;
+	int i;
+	for(i=0;i<10;i++)
+	{
+		r[8*i+0]  =  s->v[3*i+0]       & 7;
+		r[8*i+1]  = (s->v[3*i+0] >> 3) & 7;
+		r[8*i+2]  = (s->v[3*i+0] >> 6) & 7;
+		r[8*i+2] ^= (s->v[3*i+1] << 2) & 7;
+		r[8*i+3]  = (s->v[3*i+1] >> 1) & 7;
+		r[8*i+4]  = (s->v[3*i+1] >> 4) & 7;
+		r[8*i+5]  = (s->v[3*i+1] >> 7) & 7;
+		r[8*i+5] ^= (s->v[3*i+2] << 1) & 7;
+		r[8*i+6]  = (s->v[3*i+2] >> 2) & 7;
+		r[8*i+7]  = (s->v[3*i+2] >> 5) & 7;
+	}
+	r[8*i+0]  =  s->v[3*i+0]       & 7;
+	r[8*i+1]  = (s->v[3*i+0] >> 3) & 7;
+	r[8*i+2]  = (s->v[3*i+0] >> 6) & 7;
+	r[8*i+2] ^= (s->v[3*i+1] << 2) & 7;
+	r[8*i+3]  = (s->v[3*i+1] >> 1) & 7;
+	r[8*i+4]  = (s->v[3*i+1] >> 4) & 7;
+
+	/* Making it signed */
+	carry = 0;
+	for(i=0;i<84;i++)
+	{
+		r[i] += carry;
+		r[i+1] += r[i] >> 3;
+		r[i] &= 7;
+		carry = r[i] >> 2;
+		r[i] -= carry<<3;
+	}
+	r[84] += carry;
+}
+
+void sc25519_2interleave2(unsigned char r[127], const sc25519 *s1, const sc25519 *s2)
+{
+	int i;
+	for(i=0;i<31;i++)
+	{
+		r[4*i]   = ( s1->v[i]       & 3) ^ (( s2->v[i]       & 3) << 2);
+		r[4*i+1] = ((s1->v[i] >> 2) & 3) ^ (((s2->v[i] >> 2) & 3) << 2);
+		r[4*i+2] = ((s1->v[i] >> 4) & 3) ^ (((s2->v[i] >> 4) & 3) << 2);
+		r[4*i+3] = ((s1->v[i] >> 6) & 3) ^ (((s2->v[i] >> 6) & 3) << 2);
+	}
+	r[124] = ( s1->v[31]       & 3) ^ (( s2->v[31]       & 3) << 2);
+	r[125] = ((s1->v[31] >> 2) & 3) ^ (((s2->v[31] >> 2) & 3) << 2);
+	r[126] = ((s1->v[31] >> 4) & 3) ^ (((s2->v[31] >> 4) & 3) << 2);
 }
 
 typedef struct
 {
-  fe25519 x;
-  fe25519 y;
-  fe25519 z;
-  fe25519 t;
+	fe25519 x;
+	fe25519 y;
+	fe25519 z;
+	fe25519 t;
 } ge25519;
 
 /* d */
-static const fe25519 ge25519_ecd = {{0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00, 
-                      0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, 0xC7, 0x8C, 0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52}};
+static const fe25519 ge25519_ecd = {{0xA3, 0x78, 0x59, 0x13, 0xCA, 0x4D, 0xEB, 0x75, 0xAB, 0xD8, 0x41, 0x41, 0x4D, 0x0A, 0x70, 0x00,
+											0x98, 0xE8, 0x79, 0x77, 0x79, 0x40, 0xC7, 0x8C, 0x73, 0xFE, 0x6F, 0x2B, 0xEE, 0x6C, 0x03, 0x52}};
 /* 2*d */
-static const fe25519 ge25519_ec2d = {{0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB, 0x56, 0xB1, 0x83, 0x82, 0x9A, 0x14, 0xE0, 0x00, 
-                       0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, 0x8E, 0x19, 0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24}};
+static const fe25519 ge25519_ec2d = {{0x59, 0xF1, 0xB2, 0x26, 0x94, 0x9B, 0xD6, 0xEB, 0x56, 0xB1, 0x83, 0x82, 0x9A, 0x14, 0xE0, 0x00,
+											 0x30, 0xD1, 0xF3, 0xEE, 0xF2, 0x80, 0x8E, 0x19, 0xE7, 0xFC, 0xDF, 0x56, 0xDC, 0xD9, 0x06, 0x24}};
 /* sqrt(-1) */
-static const fe25519 ge25519_sqrtm1 = {{0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4, 0x78, 0xE4, 0x2F, 0xAD, 0x06, 0x18, 0x43, 0x2F, 
-                         0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, 0x4D, 0x2B, 0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B}};
+static const fe25519 ge25519_sqrtm1 = {{0xB0, 0xA0, 0x0E, 0x4A, 0x27, 0x1B, 0xEE, 0xC4, 0x78, 0xE4, 0x2F, 0xAD, 0x06, 0x18, 0x43, 0x2F,
+												 0xA7, 0xD7, 0xFB, 0x3D, 0x99, 0x00, 0x4D, 0x2B, 0x0B, 0xDF, 0xC1, 0x4F, 0x80, 0x24, 0x83, 0x2B}};
 
 #define ge25519_p3 ge25519
 
 typedef struct
 {
-  fe25519 x;
-  fe25519 z;
-  fe25519 y;
-  fe25519 t;
+	fe25519 x;
+	fe25519 z;
+	fe25519 y;
+	fe25519 t;
 } ge25519_p1p1;
 
 typedef struct
 {
-  fe25519 x;
-  fe25519 y;
-  fe25519 z;
+	fe25519 x;
+	fe25519 y;
+	fe25519 z;
 } ge25519_p2;
 
 typedef struct
 {
-  fe25519 x;
-  fe25519 y;
+	fe25519 x;
+	fe25519 y;
 } ge25519_aff;
 
 
 /* Packed coordinates of the base point */
-static const ge25519 ge25519_base = {{{0x1A, 0xD5, 0x25, 0x8F, 0x60, 0x2D, 0x56, 0xC9, 0xB2, 0xA7, 0x25, 0x95, 0x60, 0xC7, 0x2C, 0x69, 
-                                0x5C, 0xDC, 0xD6, 0xFD, 0x31, 0xE2, 0xA4, 0xC0, 0xFE, 0x53, 0x6E, 0xCD, 0xD3, 0x36, 0x69, 0x21}},
-                              {{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 
-                                0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}},
-                              {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 
-                                0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
-                              {{0xA3, 0xDD, 0xB7, 0xA5, 0xB3, 0x8A, 0xDE, 0x6D, 0xF5, 0x52, 0x51, 0x77, 0x80, 0x9F, 0xF0, 0x20, 
-                                0x7D, 0xE3, 0xAB, 0x64, 0x8E, 0x4E, 0xEA, 0x66, 0x65, 0x76, 0x8B, 0xD7, 0x0F, 0x5F, 0x87, 0x67}}};
+static const ge25519 ge25519_base = {{{0x1A, 0xD5, 0x25, 0x8F, 0x60, 0x2D, 0x56, 0xC9, 0xB2, 0xA7, 0x25, 0x95, 0x60, 0xC7, 0x2C, 0x69,
+																0x5C, 0xDC, 0xD6, 0xFD, 0x31, 0xE2, 0xA4, 0xC0, 0xFE, 0x53, 0x6E, 0xCD, 0xD3, 0x36, 0x69, 0x21}},
+															{{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66,
+																0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}},
+															{{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+																0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
+															{{0xA3, 0xDD, 0xB7, 0xA5, 0xB3, 0x8A, 0xDE, 0x6D, 0xF5, 0x52, 0x51, 0x77, 0x80, 0x9F, 0xF0, 0x20,
+																0x7D, 0xE3, 0xAB, 0x64, 0x8E, 0x4E, 0xEA, 0x66, 0x65, 0x76, 0x8B, 0xD7, 0x0F, 0x5F, 0x87, 0x67}}};
 
 /* Multiples of the base point in affine representation */
 static const ge25519_aff ge25519_base_multiples_affine[425] = {
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x1a, 0xd5, 0x25, 0x8f, 0x60, 0x2d, 0x56, 0xc9, 0xb2, 0xa7, 0x25, 0x95, 0x60, 0xc7, 0x2c, 0x69, 0x5c, 0xdc, 0xd6, 0xfd, 0x31, 0xe2, 0xa4, 0xc0, 0xfe, 0x53, 0x6e, 0xcd, 0xd3, 0x36, 0x69, 0x21}} ,
  {{0x58, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66, 0x66}}},
@@ -891,7 +891,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xd4, 0xb4, 0xf5, 0x78, 0x48, 0x68, 0xc3, 0x02, 0x04, 0x03, 0x24, 0x67, 0x17, 0xec, 0x16, 0x9f, 0xf7, 0x9e, 0x26, 0x60, 0x8e, 0xa1, 0x26, 0xa1, 0xab, 0x69, 0xee, 0x77, 0xd1, 0xb1, 0x67, 0x12}}},
 {{{0x70, 0xf8, 0xc9, 0xc4, 0x57, 0xa6, 0x3a, 0x49, 0x47, 0x15, 0xce, 0x93, 0xc1, 0x9e, 0x73, 0x1a, 0xf9, 0x20, 0x35, 0x7a, 0xb8, 0xd4, 0x25, 0x83, 0x46, 0xf1, 0xcf, 0x56, 0xdb, 0xa8, 0x3d, 0x20}} ,
  {{0x2f, 0x11, 0x32, 0xca, 0x61, 0xab, 0x38, 0xdf, 0xf0, 0x0f, 0x2f, 0xea, 0x32, 0x28, 0xf2, 0x4c, 0x6c, 0x71, 0xd5, 0x80, 0x85, 0xb8, 0x0e, 0x47, 0xe1, 0x95, 0x15, 0xcb, 0x27, 0xe8, 0xd0, 0x47}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xc8, 0x84, 0xa5, 0x08, 0xbc, 0xfd, 0x87, 0x3b, 0x99, 0x8b, 0x69, 0x80, 0x7b, 0xc6, 0x3a, 0xeb, 0x93, 0xcf, 0x4e, 0xf8, 0x5c, 0x2d, 0x86, 0x42, 0xb6, 0x71, 0xd7, 0x97, 0x5f, 0xe1, 0x42, 0x67}} ,
  {{0xb4, 0xb9, 0x37, 0xfc, 0xa9, 0x5b, 0x2f, 0x1e, 0x93, 0xe4, 0x1e, 0x62, 0xfc, 0x3c, 0x78, 0x81, 0x8f, 0xf3, 0x8a, 0x66, 0x09, 0x6f, 0xad, 0x6e, 0x79, 0x73, 0xe5, 0xc9, 0x00, 0x06, 0xd3, 0x21}}},
@@ -901,7 +901,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xf1, 0x79, 0x7b, 0xed, 0x4f, 0x44, 0xb2, 0xe7, 0x08, 0x0d, 0xc2, 0x08, 0x12, 0xd2, 0x9f, 0xdf, 0xcd, 0x93, 0x20, 0x8a, 0xcf, 0x33, 0xca, 0x6d, 0x89, 0xb9, 0x77, 0xc8, 0x93, 0x1b, 0x4e, 0x60}}},
 {{{0x26, 0x4f, 0x7e, 0x97, 0xf6, 0x40, 0xdd, 0x4f, 0xfc, 0x52, 0x78, 0xf9, 0x90, 0x31, 0x03, 0xe6, 0x7d, 0x56, 0x39, 0x0b, 0x1d, 0x56, 0x82, 0x85, 0xf9, 0x1a, 0x42, 0x17, 0x69, 0x6c, 0xcf, 0x39}} ,
  {{0x69, 0xd2, 0x06, 0x3a, 0x4f, 0x39, 0x2d, 0xf9, 0x38, 0x40, 0x8c, 0x4c, 0xe7, 0x05, 0x12, 0xb4, 0x78, 0x8b, 0xf8, 0xc0, 0xec, 0x93, 0xde, 0x7a, 0x6b, 0xce, 0x2c, 0xe1, 0x0e, 0xa9, 0x34, 0x44}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x0b, 0xa4, 0x3c, 0xb0, 0x0f, 0x7a, 0x51, 0xf1, 0x78, 0xd6, 0xd9, 0x6a, 0xfd, 0x46, 0xe8, 0xb8, 0xa8, 0x79, 0x1d, 0x87, 0xf9, 0x90, 0xf2, 0x9c, 0x13, 0x29, 0xf8, 0x0b, 0x20, 0x64, 0xfa, 0x05}} ,
  {{0x26, 0x09, 0xda, 0x17, 0xaf, 0x95, 0xd6, 0xfb, 0x6a, 0x19, 0x0d, 0x6e, 0x5e, 0x12, 0xf1, 0x99, 0x4c, 0xaa, 0xa8, 0x6f, 0x79, 0x86, 0xf4, 0x72, 0x28, 0x00, 0x26, 0xf9, 0xea, 0x9e, 0x19, 0x3d}}},
@@ -911,7 +911,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x1c, 0x59, 0x1c, 0x65, 0x5d, 0x34, 0xa4, 0x09, 0xcd, 0x13, 0x9c, 0x70, 0x7d, 0xb1, 0x2a, 0xc5, 0x88, 0xaf, 0x0b, 0x60, 0xc7, 0x9f, 0x34, 0x8d, 0xd6, 0xb7, 0x7f, 0xea, 0x78, 0x65, 0x8d, 0x77}}},
 {{{0x56, 0xa5, 0xc2, 0x0c, 0xdd, 0xbc, 0xb8, 0x20, 0x6d, 0x57, 0x61, 0xb5, 0xfb, 0x78, 0xb5, 0xd4, 0x49, 0x54, 0x90, 0x26, 0xc1, 0xcb, 0xe9, 0xe6, 0xbf, 0xec, 0x1d, 0x4e, 0xed, 0x07, 0x7e, 0x5e}} ,
  {{0xc7, 0xf6, 0x6c, 0x56, 0x31, 0x20, 0x14, 0x0e, 0xa8, 0xd9, 0x27, 0xc1, 0x9a, 0x3d, 0x1b, 0x7d, 0x0e, 0x26, 0xd3, 0x81, 0xaa, 0xeb, 0xf5, 0x6b, 0x79, 0x02, 0xf1, 0x51, 0x5c, 0x75, 0x55, 0x0f}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x0a, 0x34, 0xcd, 0x82, 0x3c, 0x33, 0x09, 0x54, 0xd2, 0x61, 0x39, 0x30, 0x9b, 0xfd, 0xef, 0x21, 0x26, 0xd4, 0x70, 0xfa, 0xee, 0xf9, 0x31, 0x33, 0x73, 0x84, 0xd0, 0xb3, 0x81, 0xbf, 0xec, 0x2e}} ,
  {{0xe8, 0x93, 0x8b, 0x00, 0x64, 0xf7, 0x9c, 0xb8, 0x74, 0xe0, 0xe6, 0x49, 0x48, 0x4d, 0x4d, 0x48, 0xb6, 0x19, 0xa1, 0x40, 0xb7, 0xd9, 0x32, 0x41, 0x7c, 0x82, 0x37, 0xa1, 0x2d, 0xdc, 0xd2, 0x54}}},
@@ -921,7 +921,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xbc, 0x58, 0xe6, 0xc0, 0x95, 0x2a, 0x2a, 0x81, 0x9a, 0x7a, 0xf3, 0xd2, 0x06, 0xbe, 0x48, 0xbc, 0x0c, 0xc5, 0x46, 0xe0, 0x6a, 0xd4, 0xac, 0x0f, 0xd9, 0xcc, 0x82, 0x34, 0x2c, 0xaf, 0xdb, 0x1f}}},
 {{{0xf7, 0x17, 0x13, 0xbd, 0xfb, 0xbc, 0xd2, 0xec, 0x45, 0xb3, 0x15, 0x31, 0xe9, 0xaf, 0x82, 0x84, 0x3d, 0x28, 0xc6, 0xfc, 0x11, 0xf5, 0x41, 0xb5, 0x8b, 0xd3, 0x12, 0x76, 0x52, 0xe7, 0x1a, 0x3c}} ,
  {{0x4e, 0x36, 0x11, 0x07, 0xa2, 0x15, 0x20, 0x51, 0xc4, 0x2a, 0xc3, 0x62, 0x8b, 0x5e, 0x7f, 0xa6, 0x0f, 0xf9, 0x45, 0x85, 0x6c, 0x11, 0x86, 0xb7, 0x7e, 0xe5, 0xd7, 0xf9, 0xc3, 0x91, 0x1c, 0x05}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xea, 0xd6, 0xde, 0x29, 0x3a, 0x00, 0xb9, 0x02, 0x59, 0xcb, 0x26, 0xc4, 0xba, 0x99, 0xb1, 0x97, 0x2f, 0x8e, 0x00, 0x92, 0x26, 0x4f, 0x52, 0xeb, 0x47, 0x1b, 0x89, 0x8b, 0x24, 0xc0, 0x13, 0x7d}} ,
  {{0xd5, 0x20, 0x5b, 0x80, 0xa6, 0x80, 0x20, 0x95, 0xc3, 0xe9, 0x9f, 0x8e, 0x87, 0x9e, 0x1e, 0x9e, 0x7a, 0xc7, 0xcc, 0x75, 0x6c, 0xa5, 0xf1, 0x91, 0x1a, 0xa8, 0x01, 0x2c, 0xab, 0x76, 0xa9, 0x59}}},
@@ -931,7 +931,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x22, 0xf5, 0x5f, 0x4d, 0x15, 0xef, 0xfc, 0x4e, 0x57, 0x03, 0x36, 0x89, 0xf0, 0xeb, 0x5b, 0x91, 0xd6, 0xe2, 0xca, 0x01, 0xa5, 0xee, 0x52, 0xec, 0xa0, 0x3c, 0x8f, 0x33, 0x90, 0x5a, 0x94, 0x72}}},
 {{{0x8a, 0x4b, 0xe7, 0x38, 0xbc, 0xda, 0xc2, 0xb0, 0x85, 0xe1, 0x4a, 0xfe, 0x2d, 0x44, 0x84, 0xcb, 0x20, 0x6b, 0x2d, 0xbf, 0x11, 0x9c, 0xd7, 0xbe, 0xd3, 0x3e, 0x5f, 0xbf, 0x68, 0xbc, 0xa8, 0x07}} ,
  {{0x01, 0x89, 0x28, 0x22, 0x6a, 0x78, 0xaa, 0x29, 0x03, 0xc8, 0x74, 0x95, 0x03, 0x3e, 0xdc, 0xbd, 0x07, 0x13, 0xa8, 0xa2, 0x20, 0x2d, 0xb3, 0x18, 0x70, 0x42, 0xfd, 0x7a, 0xc4, 0xd7, 0x49, 0x72}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x02, 0xff, 0x32, 0x2b, 0x5c, 0x93, 0x54, 0x32, 0xe8, 0x57, 0x54, 0x1a, 0x8b, 0x33, 0x60, 0x65, 0xd3, 0x67, 0xa4, 0xc1, 0x26, 0xc4, 0xa4, 0x34, 0x1f, 0x9b, 0xa7, 0xa9, 0xf4, 0xd9, 0x4f, 0x5b}} ,
  {{0x46, 0x8d, 0xb0, 0x33, 0x54, 0x26, 0x5b, 0x68, 0xdf, 0xbb, 0xc5, 0xec, 0xc2, 0xf9, 0x3c, 0x5a, 0x37, 0xc1, 0x8e, 0x27, 0x47, 0xaa, 0x49, 0x5a, 0xf8, 0xfb, 0x68, 0x04, 0x23, 0xd1, 0xeb, 0x40}}},
@@ -941,7 +941,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x60, 0xd6, 0xdd, 0x78, 0xe6, 0xd4, 0x22, 0x42, 0x1f, 0x00, 0xf9, 0xb1, 0x6a, 0x63, 0xe2, 0x92, 0x59, 0xd1, 0x1a, 0xb7, 0x00, 0x54, 0x29, 0xc9, 0xc1, 0xf6, 0x6f, 0x7a, 0xc5, 0x3c, 0x5f, 0x65}}},
 {{{0x27, 0x4f, 0xd0, 0x72, 0xb1, 0x11, 0x14, 0x27, 0x15, 0x94, 0x48, 0x81, 0x7e, 0x74, 0xd8, 0x32, 0xd5, 0xd1, 0x11, 0x28, 0x60, 0x63, 0x36, 0x32, 0x37, 0xb5, 0x13, 0x1c, 0xa0, 0x37, 0xe3, 0x74}} ,
  {{0xf1, 0x25, 0x4e, 0x11, 0x96, 0x67, 0xe6, 0x1c, 0xc2, 0xb2, 0x53, 0xe2, 0xda, 0x85, 0xee, 0xb2, 0x9f, 0x59, 0xf3, 0xba, 0xbd, 0xfa, 0xcf, 0x6e, 0xf9, 0xda, 0xa4, 0xb3, 0x02, 0x8f, 0x64, 0x08}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x34, 0x94, 0xf2, 0x64, 0x54, 0x47, 0x37, 0x07, 0x40, 0x8a, 0x20, 0xba, 0x4a, 0x55, 0xd7, 0x3f, 0x47, 0xba, 0x25, 0x23, 0x14, 0xb0, 0x2c, 0xe8, 0x55, 0xa8, 0xa6, 0xef, 0x51, 0xbd, 0x6f, 0x6a}} ,
  {{0x71, 0xd6, 0x16, 0x76, 0xb2, 0x06, 0xea, 0x79, 0xf5, 0xc4, 0xc3, 0x52, 0x7e, 0x61, 0xd1, 0xe1, 0xad, 0x70, 0x78, 0x1d, 0x16, 0x11, 0xf8, 0x7c, 0x2b, 0xfc, 0x55, 0x9f, 0x52, 0xf8, 0xf5, 0x16}}},
@@ -951,7 +951,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x02, 0xcc, 0x22, 0x74, 0x4d, 0x19, 0x07, 0xc0, 0xda, 0xb5, 0x76, 0x51, 0x2a, 0xaa, 0xa6, 0x0a, 0x5f, 0x26, 0xd4, 0xbc, 0xaf, 0x48, 0x88, 0x7f, 0x02, 0xbc, 0xf2, 0xe1, 0xcf, 0xe9, 0xdd, 0x15}}},
 {{{0xed, 0xb5, 0x9a, 0x8c, 0x9a, 0xdd, 0x27, 0xf4, 0x7f, 0x47, 0xd9, 0x52, 0xa7, 0xcd, 0x65, 0xa5, 0x31, 0x22, 0xed, 0xa6, 0x63, 0x5b, 0x80, 0x4a, 0xad, 0x4d, 0xed, 0xbf, 0xee, 0x49, 0xb3, 0x06}} ,
  {{0xf8, 0x64, 0x8b, 0x60, 0x90, 0xe9, 0xde, 0x44, 0x77, 0xb9, 0x07, 0x36, 0x32, 0xc2, 0x50, 0xf5, 0x65, 0xdf, 0x48, 0x4c, 0x37, 0xaa, 0x68, 0xab, 0x9a, 0x1f, 0x3e, 0xff, 0x89, 0x92, 0xa0, 0x07}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x7d, 0x4f, 0x9c, 0x19, 0xc0, 0x4a, 0x31, 0xec, 0xf9, 0xaa, 0xeb, 0xb2, 0x16, 0x9c, 0xa3, 0x66, 0x5f, 0xd1, 0xd4, 0xed, 0xb8, 0x92, 0x1c, 0xab, 0xda, 0xea, 0xd9, 0x57, 0xdf, 0x4c, 0x2a, 0x48}} ,
  {{0x4b, 0xb0, 0x4e, 0x6e, 0x11, 0x3b, 0x51, 0xbd, 0x6a, 0xfd, 0xe4, 0x25, 0xa5, 0x5f, 0x11, 0x3f, 0x98, 0x92, 0x51, 0x14, 0xc6, 0x5f, 0x3c, 0x0b, 0xa8, 0xf7, 0xc2, 0x81, 0x43, 0xde, 0x91, 0x73}}},
@@ -961,7 +961,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x2e, 0x69, 0x98, 0xfd, 0xc6, 0xbd, 0xcc, 0xca, 0xdf, 0x9a, 0x44, 0x7e, 0x9d, 0xca, 0x89, 0x6d, 0xbf, 0x27, 0xc2, 0xf8, 0xcd, 0x46, 0x00, 0x2b, 0xb5, 0x58, 0x4e, 0xb7, 0x89, 0x09, 0xe9, 0x2d}}},
 {{{0x54, 0xbe, 0x75, 0xcb, 0x05, 0xb0, 0x54, 0xb7, 0xe7, 0x26, 0x86, 0x4a, 0xfc, 0x19, 0xcf, 0x27, 0x46, 0xd4, 0x22, 0x96, 0x5a, 0x11, 0xe8, 0xd5, 0x1b, 0xed, 0x71, 0xc5, 0x5d, 0xc8, 0xaf, 0x45}} ,
  {{0x40, 0x7b, 0x77, 0x57, 0x49, 0x9e, 0x80, 0x39, 0x23, 0xee, 0x81, 0x0b, 0x22, 0xcf, 0xdb, 0x7a, 0x2f, 0x14, 0xb8, 0x57, 0x8f, 0xa1, 0x39, 0x1e, 0x77, 0xfc, 0x0b, 0xa6, 0xbf, 0x8a, 0x0c, 0x6c}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x77, 0x3a, 0xd4, 0xd8, 0x27, 0xcf, 0xe8, 0xa1, 0x72, 0x9d, 0xca, 0xdd, 0x0d, 0x96, 0xda, 0x79, 0xed, 0x56, 0x42, 0x15, 0x60, 0xc7, 0x1c, 0x6b, 0x26, 0x30, 0xf6, 0x6a, 0x95, 0x67, 0xf3, 0x0a}} ,
  {{0xc5, 0x08, 0xa4, 0x2b, 0x2f, 0xbd, 0x31, 0x81, 0x2a, 0xa6, 0xb6, 0xe4, 0x00, 0x91, 0xda, 0x3d, 0xb2, 0xb0, 0x96, 0xce, 0x8a, 0xd2, 0x8d, 0x70, 0xb3, 0xd3, 0x34, 0x01, 0x90, 0x8d, 0x10, 0x21}}},
@@ -971,7 +971,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x61, 0x36, 0xd6, 0x08, 0x90, 0xbf, 0xa7, 0x7a, 0x97, 0x6c, 0x0f, 0x84, 0xd5, 0x33, 0x2d, 0x37, 0xc9, 0x6a, 0x80, 0x90, 0x3d, 0x0a, 0xa2, 0xaa, 0xe1, 0xb8, 0x84, 0xba, 0x61, 0x36, 0xdd, 0x69}}},
 {{{0x6b, 0xdb, 0x5b, 0x9c, 0xc6, 0x92, 0xbc, 0x23, 0xaf, 0xc5, 0xb8, 0x75, 0xf8, 0x42, 0xfa, 0xd6, 0xb6, 0x84, 0x94, 0x63, 0x98, 0x93, 0x48, 0x78, 0x38, 0xcd, 0xbb, 0x18, 0x34, 0xc3, 0xdb, 0x67}} ,
  {{0x96, 0xf3, 0x3a, 0x09, 0x56, 0xb0, 0x6f, 0x7c, 0x51, 0x1e, 0x1b, 0x39, 0x48, 0xea, 0xc9, 0x0c, 0x25, 0xa2, 0x7a, 0xca, 0xe7, 0x92, 0xfc, 0x59, 0x30, 0xa3, 0x89, 0x85, 0xdf, 0x6f, 0x43, 0x38}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x79, 0x84, 0x44, 0x19, 0xbd, 0xe9, 0x54, 0xc4, 0xc0, 0x6e, 0x2a, 0xa8, 0xa8, 0x9b, 0x43, 0xd5, 0x71, 0x22, 0x5f, 0xdc, 0x01, 0xfa, 0xdf, 0xb3, 0xb8, 0x47, 0x4b, 0x0a, 0xa5, 0x44, 0xea, 0x29}} ,
  {{0x05, 0x90, 0x50, 0xaf, 0x63, 0x5f, 0x9d, 0x9e, 0xe1, 0x9d, 0x38, 0x97, 0x1f, 0x6c, 0xac, 0x30, 0x46, 0xb2, 0x6a, 0x19, 0xd1, 0x4b, 0xdb, 0xbb, 0x8c, 0xda, 0x2e, 0xab, 0xc8, 0x5a, 0x77, 0x6c}}},
@@ -981,7 +981,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x5d, 0x04, 0xb3, 0x40, 0x28, 0x95, 0x2d, 0x30, 0x83, 0xec, 0x5e, 0xe4, 0xff, 0x75, 0xfe, 0x79, 0x26, 0x9d, 0x1d, 0x36, 0xcd, 0x0a, 0x15, 0xd2, 0x24, 0x14, 0x77, 0x71, 0xd7, 0x8a, 0x1b, 0x04}}},
 {{{0x5d, 0x93, 0xc9, 0xbe, 0xaa, 0x90, 0xcd, 0x9b, 0xfb, 0x73, 0x7e, 0xb0, 0x64, 0x98, 0x57, 0x44, 0x42, 0x41, 0xb1, 0xaf, 0xea, 0xc1, 0xc3, 0x22, 0xff, 0x60, 0x46, 0xcb, 0x61, 0x81, 0x70, 0x61}} ,
  {{0x0d, 0x82, 0xb9, 0xfe, 0x21, 0xcd, 0xc4, 0xf5, 0x98, 0x0c, 0x4e, 0x72, 0xee, 0x87, 0x49, 0xf8, 0xa1, 0x95, 0xdf, 0x8f, 0x2d, 0xbd, 0x21, 0x06, 0x7c, 0x15, 0xe8, 0x12, 0x6d, 0x93, 0xd6, 0x38}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x91, 0xf7, 0x51, 0xd9, 0xef, 0x7d, 0x42, 0x01, 0x13, 0xe9, 0xb8, 0x7f, 0xa6, 0x49, 0x17, 0x64, 0x21, 0x80, 0x83, 0x2c, 0x63, 0x4c, 0x60, 0x09, 0x59, 0x91, 0x92, 0x77, 0x39, 0x51, 0xf4, 0x48}} ,
  {{0x60, 0xd5, 0x22, 0x83, 0x08, 0x2f, 0xff, 0x99, 0x3e, 0x69, 0x6d, 0x88, 0xda, 0xe7, 0x5b, 0x52, 0x26, 0x31, 0x2a, 0xe5, 0x89, 0xde, 0x68, 0x90, 0xb6, 0x22, 0x5a, 0xbd, 0xd3, 0x85, 0x53, 0x31}}},
@@ -991,7 +991,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xba, 0x38, 0x02, 0xf7, 0x81, 0x43, 0x83, 0xa3, 0x20, 0x4f, 0x01, 0x3b, 0x8a, 0x04, 0x38, 0x31, 0xc6, 0x0f, 0xc8, 0xdf, 0xd7, 0xfa, 0x2f, 0x88, 0x3f, 0xfc, 0x0c, 0x76, 0xc4, 0xa6, 0x45, 0x72}}},
 {{{0xbb, 0x0c, 0xbc, 0x6a, 0xa4, 0x97, 0x17, 0x93, 0x2d, 0x6f, 0xde, 0x72, 0x10, 0x1c, 0x08, 0x2c, 0x0f, 0x80, 0x32, 0x68, 0x27, 0xd4, 0xab, 0xdd, 0xc5, 0x58, 0x61, 0x13, 0x6d, 0x11, 0x1e, 0x4d}} ,
  {{0x1a, 0xb9, 0xc9, 0x10, 0xfb, 0x1e, 0x4e, 0xf4, 0x84, 0x4b, 0x8a, 0x5e, 0x7b, 0x4b, 0xe8, 0x43, 0x8c, 0x8f, 0x00, 0xb5, 0x54, 0x13, 0xc5, 0x5c, 0xb6, 0x35, 0x4e, 0x9d, 0xe4, 0x5b, 0x41, 0x6d}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x15, 0x7d, 0x12, 0x48, 0x82, 0x14, 0x42, 0xcd, 0x32, 0xd4, 0x4b, 0xc1, 0x72, 0x61, 0x2a, 0x8c, 0xec, 0xe2, 0xf8, 0x24, 0x45, 0x94, 0xe3, 0xbe, 0xdd, 0x67, 0xa8, 0x77, 0x5a, 0xae, 0x5b, 0x4b}} ,
  {{0xcb, 0x77, 0x9a, 0x20, 0xde, 0xb8, 0x23, 0xd9, 0xa0, 0x0f, 0x8c, 0x7b, 0xa5, 0xcb, 0xae, 0xb6, 0xec, 0x42, 0x67, 0x0e, 0x58, 0xa4, 0x75, 0x98, 0x21, 0x71, 0x84, 0xb3, 0xe0, 0x76, 0x94, 0x73}}},
@@ -1001,7 +1001,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x32, 0xfb, 0x86, 0xec, 0x33, 0x6b, 0x2e, 0x51, 0x2b, 0xc8, 0xfa, 0x6c, 0x70, 0x47, 0x7e, 0xce, 0x05, 0x0c, 0x71, 0xf3, 0xb4, 0x56, 0xa6, 0xdc, 0xcc, 0x78, 0x07, 0x75, 0xd0, 0xdd, 0xb2, 0x6a}}},
 {{{0xc6, 0xef, 0xb9, 0xc0, 0x2b, 0x22, 0x08, 0x1e, 0x71, 0x70, 0xb3, 0x35, 0x9c, 0x7a, 0x01, 0x92, 0x44, 0x9a, 0xf6, 0xb0, 0x58, 0x95, 0xc1, 0x9b, 0x02, 0xed, 0x2d, 0x7c, 0x34, 0x29, 0x49, 0x44}} ,
  {{0x45, 0x62, 0x1d, 0x2e, 0xff, 0x2a, 0x1c, 0x21, 0xa4, 0x25, 0x7b, 0x0d, 0x8c, 0x15, 0x39, 0xfc, 0x8f, 0x7c, 0xa5, 0x7d, 0x1e, 0x25, 0xa3, 0x45, 0xd6, 0xab, 0xbd, 0xcb, 0xc5, 0x5e, 0x78, 0x77}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xd0, 0xd3, 0x42, 0xed, 0x1d, 0x00, 0x3c, 0x15, 0x2c, 0x9c, 0x77, 0x81, 0xd2, 0x73, 0xd1, 0x06, 0xd5, 0xc4, 0x7f, 0x94, 0xbb, 0x92, 0x2d, 0x2c, 0x4b, 0x45, 0x4b, 0xe9, 0x2a, 0x89, 0x6b, 0x2b}} ,
  {{0xd2, 0x0c, 0x88, 0xc5, 0x48, 0x4d, 0xea, 0x0d, 0x4a, 0xc9, 0x52, 0x6a, 0x61, 0x79, 0xe9, 0x76, 0xf3, 0x85, 0x52, 0x5c, 0x1b, 0x2c, 0xe1, 0xd6, 0xc4, 0x0f, 0x18, 0x0e, 0x4e, 0xf6, 0x1c, 0x7f}}},
@@ -1011,7 +1011,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x4c, 0xe6, 0xb0, 0xc1, 0xa5, 0x2a, 0x82, 0x09, 0x08, 0xad, 0x79, 0x9c, 0x56, 0xf6, 0xf9, 0xc1, 0xd7, 0x7c, 0x39, 0x7f, 0x93, 0xca, 0x11, 0x55, 0xbf, 0x07, 0x1b, 0x82, 0x29, 0x69, 0x95, 0x5c}}},
 {{{0x87, 0xee, 0xa6, 0x56, 0x9e, 0xc2, 0x9a, 0x56, 0x24, 0x42, 0x85, 0x4d, 0x98, 0x31, 0x1e, 0x60, 0x4d, 0x87, 0x85, 0x04, 0xae, 0x46, 0x12, 0xf9, 0x8e, 0x7f, 0xe4, 0x7f, 0xf6, 0x1c, 0x37, 0x01}} ,
  {{0x73, 0x4c, 0xb6, 0xc5, 0xc4, 0xe9, 0x6c, 0x85, 0x48, 0x4a, 0x5a, 0xac, 0xd9, 0x1f, 0x43, 0xf8, 0x62, 0x5b, 0xee, 0x98, 0x2a, 0x33, 0x8e, 0x79, 0xce, 0x61, 0x06, 0x35, 0xd8, 0xd7, 0xca, 0x71}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x72, 0xd3, 0xae, 0xa6, 0xca, 0x8f, 0xcd, 0xcc, 0x78, 0x8e, 0x19, 0x4d, 0xa7, 0xd2, 0x27, 0xe9, 0xa4, 0x3c, 0x16, 0x5b, 0x84, 0x80, 0xf9, 0xd0, 0xcc, 0x6a, 0x1e, 0xca, 0x1e, 0x67, 0xbd, 0x63}} ,
  {{0x7b, 0x6e, 0x2a, 0xd2, 0x87, 0x48, 0xff, 0xa1, 0xca, 0xe9, 0x15, 0x85, 0xdc, 0xdb, 0x2c, 0x39, 0x12, 0x91, 0xa9, 0x20, 0xaa, 0x4f, 0x29, 0xf4, 0x15, 0x7a, 0xd2, 0xf5, 0x32, 0xcc, 0x60, 0x04}}},
@@ -1021,7 +1021,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xbb, 0x40, 0x5e, 0xbc, 0x16, 0x92, 0x05, 0xc4, 0xc0, 0x4e, 0x72, 0x90, 0x0e, 0xab, 0xcf, 0x8a, 0xed, 0xef, 0xb9, 0x2d, 0x3b, 0xf8, 0x43, 0x5b, 0xba, 0x2d, 0xeb, 0x2f, 0x52, 0xd2, 0xd1, 0x5a}}},
 {{{0x40, 0xb4, 0xab, 0xe6, 0xad, 0x9f, 0x46, 0x69, 0x4a, 0xb3, 0x8e, 0xaa, 0xea, 0x9c, 0x8a, 0x20, 0x16, 0x5d, 0x8c, 0x13, 0xbd, 0xf6, 0x1d, 0xc5, 0x24, 0xbd, 0x90, 0x2a, 0x1c, 0xc7, 0x13, 0x3b}} ,
  {{0x54, 0xdc, 0x16, 0x0d, 0x18, 0xbe, 0x35, 0x64, 0x61, 0x52, 0x02, 0x80, 0xaf, 0x05, 0xf7, 0xa6, 0x42, 0xd3, 0x8f, 0x2e, 0x79, 0x26, 0xa8, 0xbb, 0xb2, 0x17, 0x48, 0xb2, 0x7a, 0x0a, 0x89, 0x14}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x20, 0xa8, 0x88, 0xe3, 0x91, 0xc0, 0x6e, 0xbb, 0x8a, 0x27, 0x82, 0x51, 0x83, 0xb2, 0x28, 0xa9, 0x83, 0xeb, 0xa6, 0xa9, 0x4d, 0x17, 0x59, 0x22, 0x54, 0x00, 0x50, 0x45, 0xcb, 0x48, 0x4b, 0x18}} ,
  {{0x33, 0x7c, 0xe7, 0x26, 0xba, 0x4d, 0x32, 0xfe, 0x53, 0xf4, 0xfa, 0x83, 0xe3, 0xa5, 0x79, 0x66, 0x73, 0xef, 0x80, 0x23, 0x68, 0xc2, 0x60, 0xdd, 0xa9, 0x33, 0xdc, 0x03, 0x7a, 0xe0, 0xe0, 0x3e}}},
@@ -1031,7 +1031,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x6e, 0x44, 0xa3, 0xf9, 0x64, 0xaf, 0xe7, 0x6d, 0x7d, 0xdf, 0x1e, 0xac, 0x04, 0xea, 0x3b, 0x5f, 0x9b, 0xe8, 0x24, 0x9d, 0x0e, 0xe5, 0x2e, 0x3e, 0xdf, 0xa9, 0xf7, 0xd4, 0x50, 0x71, 0xf0, 0x78}}},
 {{{0x3e, 0xa8, 0x38, 0xc2, 0x57, 0x56, 0x42, 0x9a, 0xb1, 0xe2, 0xf8, 0x45, 0xaa, 0x11, 0x48, 0x5f, 0x17, 0xc4, 0x54, 0x27, 0xdc, 0x5d, 0xaa, 0xdd, 0x41, 0xbc, 0xdf, 0x81, 0xb9, 0x53, 0xee, 0x52}} ,
  {{0xc3, 0xf1, 0xa7, 0x6d, 0xb3, 0x5f, 0x92, 0x6f, 0xcc, 0x91, 0xb8, 0x95, 0x05, 0xdf, 0x3c, 0x64, 0x57, 0x39, 0x61, 0x51, 0xad, 0x8c, 0x38, 0x7b, 0xc8, 0xde, 0x00, 0x34, 0xbe, 0xa1, 0xb0, 0x7e}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x25, 0x24, 0x1d, 0x8a, 0x67, 0x20, 0xee, 0x42, 0xeb, 0x38, 0xed, 0x0b, 0x8b, 0xcd, 0x46, 0x9d, 0x5e, 0x6b, 0x1e, 0x24, 0x9d, 0x12, 0x05, 0x1a, 0xcc, 0x05, 0x4e, 0x92, 0x38, 0xe1, 0x1f, 0x50}} ,
  {{0x4e, 0xee, 0x1c, 0x91, 0xe6, 0x11, 0xbd, 0x8e, 0x55, 0x1a, 0x18, 0x75, 0x66, 0xaf, 0x4d, 0x7b, 0x0f, 0xae, 0x6d, 0x85, 0xca, 0x82, 0x58, 0x21, 0x9c, 0x18, 0xe0, 0xed, 0xec, 0x22, 0x80, 0x2f}}},
@@ -1041,7 +1041,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xa1, 0x0c, 0xf3, 0x08, 0x43, 0xd9, 0x24, 0x1e, 0x83, 0xa7, 0xdf, 0x91, 0xca, 0xbd, 0x69, 0x47, 0x8d, 0x1b, 0xe2, 0xb9, 0x4e, 0xb5, 0xe1, 0x76, 0xb3, 0x1c, 0x93, 0x03, 0xce, 0x5f, 0xb3, 0x5a}}},
 {{{0x1d, 0xda, 0xe4, 0x61, 0x03, 0x50, 0xa9, 0x8b, 0x68, 0x18, 0xef, 0xb2, 0x1c, 0x84, 0x3b, 0xa2, 0x44, 0x95, 0xa3, 0x04, 0x3b, 0xd6, 0x99, 0x00, 0xaf, 0x76, 0x42, 0x67, 0x02, 0x7d, 0x85, 0x56}} ,
  {{0xce, 0x72, 0x0e, 0x29, 0x84, 0xb2, 0x7d, 0xd2, 0x45, 0xbe, 0x57, 0x06, 0xed, 0x7f, 0xcf, 0xed, 0xcd, 0xef, 0x19, 0xd6, 0xbc, 0x15, 0x79, 0x64, 0xd2, 0x18, 0xe3, 0x20, 0x67, 0x3a, 0x54, 0x0b}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x52, 0xfd, 0x04, 0xc5, 0xfb, 0x99, 0xe7, 0xe8, 0xfb, 0x8c, 0xe1, 0x42, 0x03, 0xef, 0x9d, 0xd9, 0x9e, 0x4d, 0xf7, 0x80, 0xcf, 0x2e, 0xcc, 0x9b, 0x45, 0xc9, 0x7b, 0x7a, 0xbc, 0x37, 0xa8, 0x52}} ,
  {{0x96, 0x11, 0x41, 0x8a, 0x47, 0x91, 0xfe, 0xb6, 0xda, 0x7a, 0x54, 0x63, 0xd1, 0x14, 0x35, 0x05, 0x86, 0x8c, 0xa9, 0x36, 0x3f, 0xf2, 0x85, 0x54, 0x4e, 0x92, 0xd8, 0x85, 0x01, 0x46, 0xd6, 0x50}}},
@@ -1051,7 +1051,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x93, 0x1c, 0x06, 0x2d, 0x66, 0x65, 0x02, 0xa4, 0x97, 0x18, 0xfd, 0x00, 0xe7, 0xab, 0x03, 0xec, 0xce, 0xc1, 0xbf, 0x37, 0xf8, 0x13, 0x53, 0xa5, 0xe5, 0x0c, 0x3a, 0xa8, 0x55, 0xb9, 0xff, 0x68}}},
 {{{0xe4, 0xe6, 0x6d, 0x30, 0x7d, 0x30, 0x35, 0xc2, 0x78, 0x87, 0xf9, 0xfc, 0x6b, 0x5a, 0xc3, 0xb7, 0x65, 0xd8, 0x2e, 0xc7, 0xa5, 0x0c, 0xc6, 0xdc, 0x12, 0xaa, 0xd6, 0x4f, 0xc5, 0x38, 0xbc, 0x0e}} ,
  {{0xe2, 0x3c, 0x76, 0x86, 0x38, 0xf2, 0x7b, 0x2c, 0x16, 0x78, 0x8d, 0xf5, 0xa4, 0x15, 0xda, 0xdb, 0x26, 0x85, 0xa0, 0x56, 0xdd, 0x1d, 0xe3, 0xb3, 0xfd, 0x40, 0xef, 0xf2, 0xd9, 0xa1, 0xb3, 0x04}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xdb, 0x49, 0x0e, 0xe6, 0x58, 0x10, 0x7a, 0x52, 0xda, 0xb5, 0x7d, 0x37, 0x6a, 0x3e, 0xa1, 0x78, 0xce, 0xc7, 0x1c, 0x24, 0x23, 0xdb, 0x7d, 0xfb, 0x8c, 0x8d, 0xdc, 0x30, 0x67, 0x69, 0x75, 0x3b}} ,
  {{0xa9, 0xea, 0x6d, 0x16, 0x16, 0x60, 0xf4, 0x60, 0x87, 0x19, 0x44, 0x8c, 0x4a, 0x8b, 0x3e, 0xfb, 0x16, 0x00, 0x00, 0x54, 0xa6, 0x9e, 0x9f, 0xef, 0xcf, 0xd9, 0xd2, 0x4c, 0x74, 0x31, 0xd0, 0x34}}},
@@ -1061,7 +1061,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xb0, 0x8b, 0xaa, 0x1e, 0xec, 0xc7, 0xa5, 0x8f, 0x1f, 0x92, 0x04, 0xc6, 0x05, 0xf6, 0xdf, 0xa1, 0xcc, 0x1f, 0x81, 0xf5, 0x0e, 0x9c, 0x57, 0xdc, 0xe3, 0xbb, 0x06, 0x87, 0x1e, 0xfe, 0x23, 0x6c}}},
 {{{0xd8, 0x2b, 0x5b, 0x16, 0xea, 0x20, 0xf1, 0xd3, 0x68, 0x8f, 0xae, 0x5b, 0xd0, 0xa9, 0x1a, 0x19, 0xa8, 0x36, 0xfb, 0x2b, 0x57, 0x88, 0x7d, 0x90, 0xd5, 0xa6, 0xf3, 0xdc, 0x38, 0x89, 0x4e, 0x1f}} ,
  {{0xcc, 0x19, 0xda, 0x9b, 0x3b, 0x43, 0x48, 0x21, 0x2e, 0x23, 0x4d, 0x3d, 0xae, 0xf8, 0x8c, 0xfc, 0xdd, 0xa6, 0x74, 0x37, 0x65, 0xca, 0xee, 0x1a, 0x19, 0x8e, 0x9f, 0x64, 0x6f, 0x0c, 0x8b, 0x5a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x25, 0xb9, 0xc2, 0xf0, 0x72, 0xb8, 0x15, 0x16, 0xcc, 0x8d, 0x3c, 0x6f, 0x25, 0xed, 0xf4, 0x46, 0x2e, 0x0c, 0x60, 0x0f, 0xe2, 0x84, 0x34, 0x55, 0x89, 0x59, 0x34, 0x1b, 0xf5, 0x8d, 0xfe, 0x08}} ,
  {{0xf8, 0xab, 0x93, 0xbc, 0x44, 0xba, 0x1b, 0x75, 0x4b, 0x49, 0x6f, 0xd0, 0x54, 0x2e, 0x63, 0xba, 0xb5, 0xea, 0xed, 0x32, 0x14, 0xc9, 0x94, 0xd8, 0xc5, 0xce, 0xf4, 0x10, 0x68, 0xe0, 0x38, 0x27}}},
@@ -1071,7 +1071,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x6c, 0xba, 0x14, 0xc5, 0xea, 0x12, 0x9e, 0x2e, 0x82, 0x63, 0xce, 0x9b, 0x4a, 0xe7, 0x1d, 0xec, 0xf1, 0x2e, 0x51, 0x1c, 0xf4, 0xd0, 0x69, 0x15, 0x42, 0x9d, 0xa3, 0x3f, 0x0e, 0xbf, 0xe9, 0x5c}}},
 {{{0xe4, 0x0d, 0xf4, 0xbd, 0xee, 0x31, 0x10, 0xed, 0xcb, 0x12, 0x86, 0xad, 0xd4, 0x2f, 0x90, 0x37, 0x32, 0xc3, 0x0b, 0x73, 0xec, 0x97, 0x85, 0xa4, 0x01, 0x1c, 0x76, 0x35, 0xfe, 0x75, 0xdd, 0x71}} ,
  {{0x11, 0xa4, 0x88, 0x9f, 0x3e, 0x53, 0x69, 0x3b, 0x1b, 0xe0, 0xf7, 0xba, 0x9b, 0xad, 0x4e, 0x81, 0x5f, 0xb5, 0x5c, 0xae, 0xbe, 0x67, 0x86, 0x37, 0x34, 0x8e, 0x07, 0x32, 0x45, 0x4a, 0x67, 0x39}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x90, 0x70, 0x58, 0x20, 0x03, 0x1e, 0x67, 0xb2, 0xc8, 0x9b, 0x58, 0xc5, 0xb1, 0xeb, 0x2d, 0x4a, 0xde, 0x82, 0x8c, 0xf2, 0xd2, 0x14, 0xb8, 0x70, 0x61, 0x4e, 0x73, 0xd6, 0x0b, 0x6b, 0x0d, 0x30}} ,
  {{0x81, 0xfc, 0x55, 0x5c, 0xbf, 0xa7, 0xc4, 0xbd, 0xe2, 0xf0, 0x4b, 0x8f, 0xe9, 0x7d, 0x99, 0xfa, 0xd3, 0xab, 0xbc, 0xc7, 0x83, 0x2b, 0x04, 0x7f, 0x0c, 0x19, 0x43, 0x03, 0x3d, 0x07, 0xca, 0x40}}},
@@ -1081,7 +1081,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x17, 0x62, 0x6b, 0x14, 0xa1, 0x7c, 0xd0, 0x79, 0x6e, 0xd8, 0x8a, 0xa5, 0x6d, 0x8c, 0x93, 0xd2, 0x3f, 0xec, 0x44, 0x8d, 0x6e, 0x91, 0x01, 0x8c, 0x8f, 0xee, 0x01, 0x8f, 0xc0, 0xb4, 0x85, 0x0e}}},
 {{{0x02, 0x3a, 0x70, 0x41, 0xe4, 0x11, 0x57, 0x23, 0xac, 0xe6, 0xfc, 0x54, 0x7e, 0xcd, 0xd7, 0x22, 0xcb, 0x76, 0x9f, 0x20, 0xce, 0xa0, 0x73, 0x76, 0x51, 0x3b, 0xa4, 0xf8, 0xe3, 0x62, 0x12, 0x6c}} ,
  {{0x7f, 0x00, 0x9c, 0x26, 0x0d, 0x6f, 0x48, 0x7f, 0x3a, 0x01, 0xed, 0xc5, 0x96, 0xb0, 0x1f, 0x4f, 0xa8, 0x02, 0x62, 0x27, 0x8a, 0x50, 0x8d, 0x9a, 0x8b, 0x52, 0x0f, 0x1e, 0xcf, 0x41, 0x38, 0x19}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xf5, 0x6c, 0xd4, 0x2f, 0x0f, 0x69, 0x0f, 0x87, 0x3f, 0x61, 0x65, 0x1e, 0x35, 0x34, 0x85, 0xba, 0x02, 0x30, 0xac, 0x25, 0x3d, 0xe2, 0x62, 0xf1, 0xcc, 0xe9, 0x1b, 0xc2, 0xef, 0x6a, 0x42, 0x57}} ,
  {{0x34, 0x1f, 0x2e, 0xac, 0xd1, 0xc7, 0x04, 0x52, 0x32, 0x66, 0xb2, 0x33, 0x73, 0x21, 0x34, 0x54, 0xf7, 0x71, 0xed, 0x06, 0xb0, 0xff, 0xa6, 0x59, 0x6f, 0x8a, 0x4e, 0xfb, 0x02, 0xb0, 0x45, 0x6b}}},
@@ -1091,7 +1091,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xdd, 0xb5, 0x7d, 0xab, 0x5a, 0x21, 0x41, 0x53, 0xbb, 0x17, 0x79, 0x0d, 0xd1, 0xa8, 0x0c, 0x0c, 0x20, 0x88, 0x09, 0xe9, 0x84, 0xe8, 0x25, 0x11, 0x67, 0x7a, 0x8b, 0x1a, 0xe4, 0x5d, 0xe1, 0x5d}}},
 {{{0x37, 0xea, 0xfe, 0x65, 0x3b, 0x25, 0xe8, 0xe1, 0xc2, 0xc5, 0x02, 0xa4, 0xbe, 0x98, 0x0a, 0x2b, 0x61, 0xc1, 0x9b, 0xe2, 0xd5, 0x92, 0xe6, 0x9e, 0x7d, 0x1f, 0xca, 0x43, 0x88, 0x8b, 0x2c, 0x59}} ,
  {{0xe0, 0xb5, 0x00, 0x1d, 0x2a, 0x6f, 0xaf, 0x79, 0x86, 0x2f, 0xa6, 0x5a, 0x93, 0xd1, 0xfe, 0xae, 0x3a, 0xee, 0xdb, 0x7c, 0x61, 0xbe, 0x7c, 0x01, 0xf9, 0xfe, 0x52, 0xdc, 0xd8, 0x52, 0xa3, 0x42}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x22, 0xaf, 0x13, 0x37, 0xbd, 0x37, 0x71, 0xac, 0x04, 0x46, 0x63, 0xac, 0xa4, 0x77, 0xed, 0x25, 0x38, 0xe0, 0x15, 0xa8, 0x64, 0x00, 0x0d, 0xce, 0x51, 0x01, 0xa9, 0xbc, 0x0f, 0x03, 0x1c, 0x04}} ,
  {{0x89, 0xf9, 0x80, 0x07, 0xcf, 0x3f, 0xb3, 0xe9, 0xe7, 0x45, 0x44, 0x3d, 0x2a, 0x7c, 0xe9, 0xe4, 0x16, 0x5c, 0x5e, 0x65, 0x1c, 0xc7, 0x7d, 0xc6, 0x7a, 0xfb, 0x43, 0xee, 0x25, 0x76, 0x46, 0x72}}},
@@ -1101,7 +1101,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x0d, 0xac, 0x66, 0x6d, 0xc3, 0x8b, 0xba, 0x16, 0xb5, 0xe2, 0xa0, 0x0d, 0x0c, 0xbd, 0xa4, 0x8e, 0x18, 0x6c, 0xf2, 0xdc, 0xf9, 0xdc, 0x4a, 0x86, 0x25, 0x95, 0x14, 0xcb, 0xd8, 0x1a, 0x04, 0x0f}}},
 {{{0x97, 0xa5, 0xdb, 0x8b, 0x2d, 0xaa, 0x42, 0x11, 0x09, 0xf2, 0x93, 0xbb, 0xd9, 0x06, 0x84, 0x4e, 0x11, 0xa8, 0xa0, 0x25, 0x2b, 0xa6, 0x5f, 0xae, 0xc4, 0xb4, 0x4c, 0xc8, 0xab, 0xc7, 0x3b, 0x02}} ,
  {{0xee, 0xc9, 0x29, 0x0f, 0xdf, 0x11, 0x85, 0xed, 0xce, 0x0d, 0x62, 0x2c, 0x8f, 0x4b, 0xf9, 0x04, 0xe9, 0x06, 0x72, 0x1d, 0x37, 0x20, 0x50, 0xc9, 0x14, 0xeb, 0xec, 0x39, 0xa7, 0x97, 0x2b, 0x4d}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x69, 0xd1, 0x39, 0xbd, 0xfb, 0x33, 0xbe, 0xc4, 0xf0, 0x5c, 0xef, 0xf0, 0x56, 0x68, 0xfc, 0x97, 0x47, 0xc8, 0x72, 0xb6, 0x53, 0xa4, 0x0a, 0x98, 0xa5, 0xb4, 0x37, 0x71, 0xcf, 0x66, 0x50, 0x6d}} ,
  {{0x17, 0xa4, 0x19, 0x52, 0x11, 0x47, 0xb3, 0x5c, 0x5b, 0xa9, 0x2e, 0x22, 0xb4, 0x00, 0x52, 0xf9, 0x57, 0x18, 0xb8, 0xbe, 0x5a, 0xe3, 0xab, 0x83, 0xc8, 0x87, 0x0a, 0x2a, 0xd8, 0x8c, 0xbb, 0x54}}},
@@ -1111,7 +1111,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x20, 0xd6, 0xd8, 0x91, 0x54, 0xa7, 0xf3, 0x20, 0x4b, 0x34, 0x06, 0xfa, 0x30, 0xc8, 0x6f, 0x14, 0x10, 0x65, 0x74, 0x13, 0x4e, 0xf0, 0x69, 0x26, 0xce, 0xcf, 0x90, 0xf4, 0xd0, 0xc5, 0xc8, 0x64}}},
 {{{0x26, 0xa2, 0x50, 0x02, 0x24, 0x72, 0xf1, 0xf0, 0x4e, 0x2d, 0x93, 0xd5, 0x08, 0xe7, 0xae, 0x38, 0xf7, 0x18, 0xa5, 0x32, 0x34, 0xc2, 0xf0, 0xa6, 0xec, 0xb9, 0x61, 0x7b, 0x64, 0x99, 0xac, 0x71}} ,
  {{0x25, 0xcf, 0x74, 0x55, 0x1b, 0xaa, 0xa9, 0x38, 0x41, 0x40, 0xd5, 0x95, 0x95, 0xab, 0x1c, 0x5e, 0xbc, 0x41, 0x7e, 0x14, 0x30, 0xbe, 0x13, 0x89, 0xf4, 0xe5, 0xeb, 0x28, 0xc0, 0xc2, 0x96, 0x3a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x2b, 0x77, 0x45, 0xec, 0x67, 0x76, 0x32, 0x4c, 0xb9, 0xdf, 0x25, 0x32, 0x6b, 0xcb, 0xe7, 0x14, 0x61, 0x43, 0xee, 0xba, 0x9b, 0x71, 0xef, 0xd2, 0x48, 0x65, 0xbb, 0x1b, 0x8a, 0x13, 0x1b, 0x22}} ,
  {{0x84, 0xad, 0x0c, 0x18, 0x38, 0x5a, 0xba, 0xd0, 0x98, 0x59, 0xbf, 0x37, 0xb0, 0x4f, 0x97, 0x60, 0x20, 0xb3, 0x9b, 0x97, 0xf6, 0x08, 0x6c, 0xa4, 0xff, 0xfb, 0xb7, 0xfa, 0x95, 0xb2, 0x51, 0x79}}},
@@ -1121,7 +1121,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xa9, 0x85, 0xf4, 0xe7, 0xb0, 0x15, 0x33, 0x84, 0x1b, 0x14, 0x1a, 0x02, 0xd9, 0x3b, 0xad, 0x0f, 0x43, 0x6c, 0xea, 0x3e, 0x0f, 0x7e, 0xda, 0xdd, 0x6b, 0x4c, 0x7f, 0x6e, 0xd4, 0x6b, 0xbf, 0x0f}}},
 {{{0x47, 0x9f, 0x7c, 0x56, 0x7c, 0x43, 0x91, 0x1c, 0xbb, 0x4e, 0x72, 0x3e, 0x64, 0xab, 0xa0, 0xa0, 0xdf, 0xb4, 0xd8, 0x87, 0x3a, 0xbd, 0xa8, 0x48, 0xc9, 0xb8, 0xef, 0x2e, 0xad, 0x6f, 0x84, 0x4f}} ,
  {{0x2d, 0x2d, 0xf0, 0x1b, 0x7e, 0x2a, 0x6c, 0xf8, 0xa9, 0x6a, 0xe1, 0xf0, 0x99, 0xa1, 0x67, 0x9a, 0xd4, 0x13, 0xca, 0xca, 0xba, 0x27, 0x92, 0xaa, 0xa1, 0x5d, 0x50, 0xde, 0xcc, 0x40, 0x26, 0x0a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x9f, 0x3e, 0xf2, 0xb2, 0x90, 0xce, 0xdb, 0x64, 0x3e, 0x03, 0xdd, 0x37, 0x36, 0x54, 0x70, 0x76, 0x24, 0xb5, 0x69, 0x03, 0xfc, 0xa0, 0x2b, 0x74, 0xb2, 0x05, 0x0e, 0xcc, 0xd8, 0x1f, 0x6a, 0x1f}} ,
  {{0x19, 0x5e, 0x60, 0x69, 0x58, 0x86, 0xa0, 0x31, 0xbd, 0x32, 0xe9, 0x2c, 0x5c, 0xd2, 0x85, 0xba, 0x40, 0x64, 0xa8, 0x74, 0xf8, 0x0e, 0x1c, 0xb3, 0xa9, 0x69, 0xe8, 0x1e, 0x40, 0x64, 0x99, 0x77}}},
@@ -1131,7 +1131,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xca, 0x59, 0x74, 0x1a, 0x11, 0xef, 0x6d, 0xf7, 0x39, 0x5c, 0x3b, 0x1f, 0xfa, 0xe3, 0x40, 0x41, 0x23, 0x9e, 0xf6, 0xd1, 0x21, 0xa2, 0xbf, 0xad, 0x65, 0x42, 0x6b, 0x59, 0x8a, 0xe8, 0xc5, 0x7f}}},
 {{{0x64, 0x05, 0x7a, 0x84, 0x4a, 0x13, 0xc3, 0xf6, 0xb0, 0x6e, 0x9a, 0x6b, 0x53, 0x6b, 0x32, 0xda, 0xd9, 0x74, 0x75, 0xc4, 0xba, 0x64, 0x3d, 0x3b, 0x08, 0xdd, 0x10, 0x46, 0xef, 0xc7, 0x90, 0x1f}} ,
  {{0x7b, 0x2f, 0x3a, 0xce, 0xc8, 0xa1, 0x79, 0x3c, 0x30, 0x12, 0x44, 0x28, 0xf6, 0xbc, 0xff, 0xfd, 0xf4, 0xc0, 0x97, 0xb0, 0xcc, 0xc3, 0x13, 0x7a, 0xb9, 0x9a, 0x16, 0xe4, 0xcb, 0x4c, 0x34, 0x63}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x07, 0x4e, 0xd3, 0x2d, 0x09, 0x33, 0x0e, 0xd2, 0x0d, 0xbe, 0x3e, 0xe7, 0xe4, 0xaa, 0xb7, 0x00, 0x8b, 0xe8, 0xad, 0xaa, 0x7a, 0x8d, 0x34, 0x28, 0xa9, 0x81, 0x94, 0xc5, 0xe7, 0x42, 0xac, 0x47}} ,
  {{0x24, 0x89, 0x7a, 0x8f, 0xb5, 0x9b, 0xf0, 0xc2, 0x03, 0x64, 0xd0, 0x1e, 0xf5, 0xa4, 0xb2, 0xf3, 0x74, 0xe9, 0x1a, 0x16, 0xfd, 0xcb, 0x15, 0xea, 0xeb, 0x10, 0x6c, 0x35, 0xd1, 0xc1, 0xa6, 0x28}}},
@@ -1141,7 +1141,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x19, 0xa6, 0x5a, 0x65, 0x93, 0xc3, 0xb5, 0x31, 0x22, 0x4f, 0xf3, 0xf6, 0x0f, 0xeb, 0x28, 0xc3, 0x7c, 0xeb, 0xce, 0x86, 0xec, 0x67, 0x76, 0x6e, 0x35, 0x45, 0x7b, 0xd8, 0x6b, 0x92, 0x01, 0x65}}},
 {{{0x3d, 0xd5, 0x9a, 0x64, 0x73, 0x36, 0xb1, 0xd6, 0x86, 0x98, 0x42, 0x3f, 0x8a, 0xf1, 0xc7, 0xf5, 0x42, 0xa8, 0x9c, 0x52, 0xa8, 0xdc, 0xf9, 0x24, 0x3f, 0x4a, 0xa1, 0xa4, 0x5b, 0xe8, 0x62, 0x1a}} ,
  {{0xc5, 0xbd, 0xc8, 0x14, 0xd5, 0x0d, 0xeb, 0xe1, 0xa5, 0xe6, 0x83, 0x11, 0x09, 0x00, 0x1d, 0x55, 0x83, 0x51, 0x7e, 0x75, 0x00, 0x81, 0xb9, 0xcb, 0xd8, 0xc5, 0xe5, 0xa1, 0xd9, 0x17, 0x6d, 0x1f}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xea, 0xf9, 0xe4, 0xe9, 0xe1, 0x52, 0x3f, 0x51, 0x19, 0x0d, 0xdd, 0xd9, 0x9d, 0x93, 0x31, 0x87, 0x23, 0x09, 0xd5, 0x83, 0xeb, 0x92, 0x09, 0x76, 0x6e, 0xe3, 0xf8, 0xc0, 0xa2, 0x66, 0xb5, 0x36}} ,
  {{0x3a, 0xbb, 0x39, 0xed, 0x32, 0x02, 0xe7, 0x43, 0x7a, 0x38, 0x14, 0x84, 0xe3, 0x44, 0xd2, 0x5e, 0x94, 0xdd, 0x78, 0x89, 0x55, 0x4c, 0x73, 0x9e, 0xe1, 0xe4, 0x3e, 0x43, 0xd0, 0x4a, 0xde, 0x1b}}},
@@ -1151,7 +1151,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x46, 0xda, 0x9e, 0x51, 0x3a, 0xe6, 0xd1, 0xa6, 0xbb, 0x4d, 0x7b, 0x08, 0xbe, 0x8c, 0xd5, 0xf3, 0x3f, 0xfd, 0xf7, 0x44, 0x80, 0x2d, 0x53, 0x4b, 0xd0, 0x87, 0x68, 0xc1, 0xb5, 0xd8, 0xf7, 0x07}}},
 {{{0xf4, 0x10, 0x46, 0xbe, 0xb7, 0xd2, 0xd1, 0xce, 0x5e, 0x76, 0xa2, 0xd7, 0x03, 0xdc, 0xe4, 0x81, 0x5a, 0xf6, 0x3c, 0xde, 0xae, 0x7a, 0x9d, 0x21, 0x34, 0xa5, 0xf6, 0xa9, 0x73, 0xe2, 0x8d, 0x60}} ,
  {{0xfa, 0x44, 0x71, 0xf6, 0x41, 0xd8, 0xc6, 0x58, 0x13, 0x37, 0xeb, 0x84, 0x0f, 0x96, 0xc7, 0xdc, 0xc8, 0xa9, 0x7a, 0x83, 0xb2, 0x2f, 0x31, 0xb1, 0x1a, 0xd8, 0x98, 0x3f, 0x11, 0xd0, 0x31, 0x3b}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x81, 0xd5, 0x34, 0x16, 0x01, 0xa3, 0x93, 0xea, 0x52, 0x94, 0xec, 0x93, 0xb7, 0x81, 0x11, 0x2d, 0x58, 0xf9, 0xb5, 0x0a, 0xaa, 0x4f, 0xf6, 0x2e, 0x3f, 0x36, 0xbf, 0x33, 0x5a, 0xe7, 0xd1, 0x08}} ,
  {{0x1a, 0xcf, 0x42, 0xae, 0xcc, 0xb5, 0x77, 0x39, 0xc4, 0x5b, 0x5b, 0xd0, 0x26, 0x59, 0x27, 0xd0, 0x55, 0x71, 0x12, 0x9d, 0x88, 0x3d, 0x9c, 0xea, 0x41, 0x6a, 0xf0, 0x50, 0x93, 0x93, 0xdd, 0x47}}},
@@ -1161,7 +1161,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x13, 0xa8, 0x82, 0x3e, 0xe9, 0x13, 0xad, 0xeb, 0x01, 0xca, 0xcf, 0xda, 0xcd, 0xf7, 0x6c, 0xc7, 0x7a, 0xdc, 0x1e, 0x6e, 0xc8, 0x4e, 0x55, 0x62, 0x80, 0xea, 0x78, 0x0c, 0x86, 0xb9, 0x40, 0x51}}},
 {{{0x27, 0xae, 0xd3, 0x0d, 0x4c, 0x8f, 0x34, 0xea, 0x7d, 0x3c, 0xe5, 0x8a, 0xcf, 0x5b, 0x92, 0xd8, 0x30, 0x16, 0xb4, 0xa3, 0x75, 0xff, 0xeb, 0x27, 0xc8, 0x5c, 0x6c, 0xc2, 0xee, 0x6c, 0x21, 0x0b}} ,
  {{0xc3, 0xba, 0x12, 0x53, 0x2a, 0xaa, 0x77, 0xad, 0x19, 0x78, 0x55, 0x8a, 0x2e, 0x60, 0x87, 0xc2, 0x6e, 0x91, 0x38, 0x91, 0x3f, 0x7a, 0xc5, 0x24, 0x8f, 0x51, 0xc5, 0xde, 0xb0, 0x53, 0x30, 0x56}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x02, 0xfe, 0x54, 0x12, 0x18, 0xca, 0x7d, 0xa5, 0x68, 0x43, 0xa3, 0x6d, 0x14, 0x2a, 0x6a, 0xa5, 0x8e, 0x32, 0xe7, 0x63, 0x4f, 0xe3, 0xc6, 0x44, 0x3e, 0xab, 0x63, 0xca, 0x17, 0x86, 0x74, 0x3f}} ,
  {{0x1e, 0x64, 0xc1, 0x7d, 0x52, 0xdc, 0x13, 0x5a, 0xa1, 0x9c, 0x4e, 0xee, 0x99, 0x28, 0xbb, 0x4c, 0xee, 0xac, 0xa9, 0x1b, 0x89, 0xa2, 0x38, 0x39, 0x7b, 0xc4, 0x0f, 0x42, 0xe6, 0x89, 0xed, 0x0f}}},
@@ -1171,7 +1171,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xe7, 0x29, 0xf9, 0x37, 0xd9, 0x46, 0x5a, 0xcd, 0x70, 0xfe, 0x4d, 0x5b, 0xbf, 0xa5, 0xcf, 0x91, 0xf4, 0xef, 0xee, 0x8a, 0x29, 0xd0, 0xe7, 0xc4, 0x25, 0x92, 0x8a, 0xff, 0x36, 0xfc, 0xe4, 0x49}}},
 {{{0xbd, 0x00, 0xb9, 0x04, 0x7d, 0x35, 0xfc, 0xeb, 0xd0, 0x0b, 0x05, 0x32, 0x52, 0x7a, 0x89, 0x24, 0x75, 0x50, 0xe1, 0x63, 0x02, 0x82, 0x8e, 0xe7, 0x85, 0x0c, 0xf2, 0x56, 0x44, 0x37, 0x83, 0x25}} ,
  {{0x8f, 0xa1, 0xce, 0xcb, 0x60, 0xda, 0x12, 0x02, 0x1e, 0x29, 0x39, 0x2a, 0x03, 0xb7, 0xeb, 0x77, 0x40, 0xea, 0xc9, 0x2b, 0x2c, 0xd5, 0x7d, 0x7e, 0x2c, 0xc7, 0x5a, 0xfd, 0xff, 0xc4, 0xd1, 0x62}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x1d, 0x88, 0x98, 0x5b, 0x4e, 0xfc, 0x41, 0x24, 0x05, 0xe6, 0x50, 0x2b, 0xae, 0x96, 0x51, 0xd9, 0x6b, 0x72, 0xb2, 0x33, 0x42, 0x98, 0x68, 0xbb, 0x10, 0x5a, 0x7a, 0x8c, 0x9d, 0x07, 0xb4, 0x05}} ,
  {{0x2f, 0x61, 0x9f, 0xd7, 0xa8, 0x3f, 0x83, 0x8c, 0x10, 0x69, 0x90, 0xe6, 0xcf, 0xd2, 0x63, 0xa3, 0xe4, 0x54, 0x7e, 0xe5, 0x69, 0x13, 0x1c, 0x90, 0x57, 0xaa, 0xe9, 0x53, 0x22, 0x43, 0x29, 0x23}}},
@@ -1181,7 +1181,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xf5, 0xff, 0xcc, 0xf0, 0xb4, 0x12, 0x03, 0x5f, 0xc9, 0x84, 0xcb, 0x1d, 0x17, 0xe0, 0xbc, 0xcc, 0x03, 0x62, 0xa9, 0x8b, 0x94, 0xa6, 0xaa, 0x18, 0xcb, 0x27, 0x8d, 0x49, 0xa6, 0x17, 0x15, 0x07}}},
 {{{0xd9, 0xb6, 0xd4, 0x9d, 0xd4, 0x6a, 0xaf, 0x70, 0x07, 0x2c, 0x10, 0x9e, 0xbd, 0x11, 0xad, 0xe4, 0x26, 0x33, 0x70, 0x92, 0x78, 0x1c, 0x74, 0x9f, 0x75, 0x60, 0x56, 0xf4, 0x39, 0xa8, 0xa8, 0x62}} ,
  {{0x3b, 0xbf, 0x55, 0x35, 0x61, 0x8b, 0x44, 0x97, 0xe8, 0x3a, 0x55, 0xc1, 0xc8, 0x3b, 0xfd, 0x95, 0x29, 0x11, 0x60, 0x96, 0x1e, 0xcb, 0x11, 0x9d, 0xc2, 0x03, 0x8a, 0x1b, 0xc6, 0xd6, 0x45, 0x3d}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x7e, 0x0e, 0x50, 0xb2, 0xcc, 0x0d, 0x6b, 0xa6, 0x71, 0x5b, 0x42, 0xed, 0xbd, 0xaf, 0xac, 0xf0, 0xfc, 0x12, 0xa2, 0x3f, 0x4e, 0xda, 0xe8, 0x11, 0xf3, 0x23, 0xe1, 0x04, 0x62, 0x03, 0x1c, 0x4e}} ,
  {{0xc8, 0xb1, 0x1b, 0x6f, 0x73, 0x61, 0x3d, 0x27, 0x0d, 0x7d, 0x7a, 0x25, 0x5f, 0x73, 0x0e, 0x2f, 0x93, 0xf6, 0x24, 0xd8, 0x4f, 0x90, 0xac, 0xa2, 0x62, 0x0a, 0xf0, 0x61, 0xd9, 0x08, 0x59, 0x6a}}},
@@ -1191,7 +1191,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x8d, 0xa6, 0xd5, 0xac, 0x9d, 0xcc, 0x68, 0x75, 0x7f, 0xc3, 0x4d, 0x4b, 0xdd, 0x6c, 0xbb, 0x11, 0x5a, 0x60, 0xe5, 0xbd, 0x7d, 0x27, 0x8b, 0xda, 0xb4, 0x95, 0xf6, 0x03, 0x27, 0xa4, 0x92, 0x3f}}},
 {{{0x22, 0xd6, 0xb5, 0x17, 0x84, 0xbf, 0x12, 0xcc, 0x23, 0x14, 0x4a, 0xdf, 0x14, 0x31, 0xbc, 0xa1, 0xac, 0x6e, 0xab, 0xfa, 0x57, 0x11, 0x53, 0xb3, 0x27, 0xe6, 0xf9, 0x47, 0x33, 0x44, 0x34, 0x1e}} ,
  {{0x79, 0xfc, 0xa6, 0xb4, 0x0b, 0x35, 0x20, 0xc9, 0x4d, 0x22, 0x84, 0xc4, 0xa9, 0x20, 0xec, 0x89, 0x94, 0xba, 0x66, 0x56, 0x48, 0xb9, 0x87, 0x7f, 0xca, 0x1e, 0x06, 0xed, 0xa5, 0x55, 0x59, 0x29}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x56, 0xe1, 0xf5, 0xf1, 0xd5, 0xab, 0xa8, 0x2b, 0xae, 0x89, 0xf3, 0xcf, 0x56, 0x9f, 0xf2, 0x4b, 0x31, 0xbc, 0x18, 0xa9, 0x06, 0x5b, 0xbe, 0xb4, 0x61, 0xf8, 0xb2, 0x06, 0x9c, 0x81, 0xab, 0x4c}} ,
  {{0x1f, 0x68, 0x76, 0x01, 0x16, 0x38, 0x2b, 0x0f, 0x77, 0x97, 0x92, 0x67, 0x4e, 0x86, 0x6a, 0x8b, 0xe5, 0xe8, 0x0c, 0xf7, 0x36, 0x39, 0xb5, 0x33, 0xe6, 0xcf, 0x5e, 0xbd, 0x18, 0xfb, 0x10, 0x1f}}},
@@ -1201,7 +1201,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xf5, 0x1a, 0x61, 0xf7, 0x37, 0x9d, 0x00, 0xf4, 0xf2, 0x69, 0x6f, 0x4b, 0x01, 0x85, 0x19, 0x45, 0x4d, 0x7f, 0x02, 0x7c, 0x6a, 0x05, 0x47, 0x6c, 0x1f, 0x81, 0x20, 0xd4, 0xe8, 0x50, 0x27, 0x72}}},
 {{{0x2c, 0x3a, 0xe5, 0xad, 0xf4, 0xdd, 0x2d, 0xf7, 0x5c, 0x44, 0xb5, 0x5b, 0x21, 0xa3, 0x89, 0x5f, 0x96, 0x45, 0xca, 0x4d, 0xa4, 0x21, 0x99, 0x70, 0xda, 0xc4, 0xc4, 0xa0, 0xe5, 0xf4, 0xec, 0x0a}} ,
  {{0x07, 0x68, 0x21, 0x65, 0xe9, 0x08, 0xa0, 0x0b, 0x6a, 0x4a, 0xba, 0xb5, 0x80, 0xaf, 0xd0, 0x1b, 0xc5, 0xf5, 0x4b, 0x73, 0x50, 0x60, 0x2d, 0x71, 0x69, 0x61, 0x0e, 0xc0, 0x20, 0x40, 0x30, 0x19}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xd0, 0x75, 0x57, 0x3b, 0xeb, 0x5c, 0x14, 0x56, 0x50, 0xc9, 0x4f, 0xb8, 0xb8, 0x1e, 0xa3, 0xf4, 0xab, 0xf5, 0xa9, 0x20, 0x15, 0x94, 0x82, 0xda, 0x96, 0x1c, 0x9b, 0x59, 0x8c, 0xff, 0xf4, 0x51}} ,
  {{0xc1, 0x3a, 0x86, 0xd7, 0xb0, 0x06, 0x84, 0x7f, 0x1b, 0xbd, 0xd4, 0x07, 0x78, 0x80, 0x2e, 0xb1, 0xb4, 0xee, 0x52, 0x38, 0xee, 0x9a, 0xf9, 0xf6, 0xf3, 0x41, 0x6e, 0xd4, 0x88, 0x95, 0xac, 0x35}}},
@@ -1211,7 +1211,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x34, 0xe9, 0x59, 0x93, 0x9d, 0x26, 0x80, 0x54, 0xf2, 0xcc, 0x3c, 0xc2, 0x25, 0x85, 0xe3, 0x6a, 0xc1, 0x62, 0x04, 0xa7, 0x08, 0x32, 0x6d, 0xa1, 0x39, 0x84, 0x8a, 0x3b, 0x87, 0x5f, 0x11, 0x13}}},
 {{{0xda, 0x03, 0x34, 0x66, 0xc4, 0x0c, 0x73, 0x6e, 0xbc, 0x24, 0xb5, 0xf9, 0x70, 0x81, 0x52, 0xe9, 0xf4, 0x7c, 0x23, 0xdd, 0x9f, 0xb8, 0x46, 0xef, 0x1d, 0x22, 0x55, 0x7d, 0x71, 0xc4, 0x42, 0x33}} ,
  {{0xc5, 0x37, 0x69, 0x5b, 0xa8, 0xc6, 0x9d, 0xa4, 0xfc, 0x61, 0x6e, 0x68, 0x46, 0xea, 0xd7, 0x1c, 0x67, 0xd2, 0x7d, 0xfa, 0xf1, 0xcc, 0x54, 0x8d, 0x36, 0x35, 0xc9, 0x00, 0xdf, 0x6c, 0x67, 0x50}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x9a, 0x4d, 0x42, 0x29, 0x5d, 0xa4, 0x6b, 0x6f, 0xa8, 0x8a, 0x4d, 0x91, 0x7b, 0xd2, 0xdf, 0x36, 0xef, 0x01, 0x22, 0xc5, 0xcc, 0x8d, 0xeb, 0x58, 0x3d, 0xb3, 0x50, 0xfc, 0x8b, 0x97, 0x96, 0x33}} ,
  {{0x93, 0x33, 0x07, 0xc8, 0x4a, 0xca, 0xd0, 0xb1, 0xab, 0xbd, 0xdd, 0xa7, 0x7c, 0xac, 0x3e, 0x45, 0xcb, 0xcc, 0x07, 0x91, 0xbf, 0x35, 0x9d, 0xcb, 0x7d, 0x12, 0x3c, 0x11, 0x59, 0x13, 0xcf, 0x5c}}},
@@ -1221,7 +1221,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x8b, 0xa4, 0xd6, 0x50, 0xb4, 0xaa, 0x5d, 0x64, 0x64, 0x76, 0x2e, 0xa1, 0xa6, 0xb3, 0xb8, 0x7c, 0x7a, 0x56, 0xf5, 0x5c, 0x4e, 0x84, 0x5c, 0xfb, 0xdd, 0xca, 0x48, 0x8b, 0x48, 0xb9, 0xba, 0x34}}},
 {{{0xc5, 0xe3, 0xe8, 0xae, 0x17, 0x27, 0xe3, 0x64, 0x60, 0x71, 0x47, 0x29, 0x02, 0x0f, 0x92, 0x5d, 0x10, 0x93, 0xc8, 0x0e, 0xa1, 0xed, 0xba, 0xa9, 0x96, 0x1c, 0xc5, 0x76, 0x30, 0xcd, 0xf9, 0x30}} ,
  {{0x95, 0xb0, 0xbd, 0x8c, 0xbc, 0xa7, 0x4f, 0x7e, 0xfd, 0x4e, 0x3a, 0xbf, 0x5f, 0x04, 0x79, 0x80, 0x2b, 0x5a, 0x9f, 0x4f, 0x68, 0x21, 0x19, 0x71, 0xc6, 0x20, 0x01, 0x42, 0xaa, 0xdf, 0xae, 0x2c}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x90, 0x6e, 0x7e, 0x4b, 0x71, 0x93, 0xc0, 0x72, 0xed, 0xeb, 0x71, 0x24, 0x97, 0x26, 0x9c, 0xfe, 0xcb, 0x3e, 0x59, 0x19, 0xa8, 0x0f, 0x75, 0x7d, 0xbe, 0x18, 0xe6, 0x96, 0x1e, 0x95, 0x70, 0x60}} ,
  {{0x89, 0x66, 0x3e, 0x1d, 0x4c, 0x5f, 0xfe, 0xc0, 0x04, 0x43, 0xd6, 0x44, 0x19, 0xb5, 0xad, 0xc7, 0x22, 0xdc, 0x71, 0x28, 0x64, 0xde, 0x41, 0x38, 0x27, 0x8f, 0x2c, 0x6b, 0x08, 0xb8, 0xb8, 0x7b}}},
@@ -1231,7 +1231,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x42, 0xa3, 0xf1, 0xc5, 0xb4, 0x0f, 0xd8, 0xc8, 0x8d, 0x15, 0x31, 0xbd, 0xf8, 0x07, 0x8b, 0xcd, 0x08, 0x8a, 0xfb, 0x18, 0x07, 0xfe, 0x8e, 0x52, 0x86, 0xef, 0xbe, 0xec, 0x49, 0x52, 0x99, 0x08}}},
 {{{0x0f, 0xa9, 0xd5, 0x01, 0xaa, 0x48, 0x4f, 0x28, 0x66, 0x32, 0x1a, 0xba, 0x7c, 0xea, 0x11, 0x80, 0x17, 0x18, 0x9b, 0x56, 0x88, 0x25, 0x06, 0x69, 0x12, 0x2c, 0xea, 0x56, 0x69, 0x41, 0x24, 0x19}} ,
  {{0xde, 0x21, 0xf0, 0xda, 0x8a, 0xfb, 0xb1, 0xb8, 0xcd, 0xc8, 0x6a, 0x82, 0x19, 0x73, 0xdb, 0xc7, 0xcf, 0x88, 0xeb, 0x96, 0xee, 0x6f, 0xfb, 0x06, 0xd2, 0xcd, 0x7d, 0x7b, 0x12, 0x28, 0x8e, 0x0c}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x93, 0x44, 0x97, 0xce, 0x28, 0xff, 0x3a, 0x40, 0xc4, 0xf5, 0xf6, 0x9b, 0xf4, 0x6b, 0x07, 0x84, 0xfb, 0x98, 0xd8, 0xec, 0x8c, 0x03, 0x57, 0xec, 0x49, 0xed, 0x63, 0xb6, 0xaa, 0xff, 0x98, 0x28}} ,
  {{0x3d, 0x16, 0x35, 0xf3, 0x46, 0xbc, 0xb3, 0xf4, 0xc6, 0xb6, 0x4f, 0xfa, 0xf4, 0xa0, 0x13, 0xe6, 0x57, 0x45, 0x93, 0xb9, 0xbc, 0xd6, 0x59, 0xe7, 0x77, 0x94, 0x6c, 0xab, 0x96, 0x3b, 0x4f, 0x09}}},
@@ -1241,7 +1241,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xcf, 0xe8, 0x0e, 0x6b, 0x96, 0x7d, 0xed, 0x27, 0xd1, 0x3c, 0xa9, 0xd9, 0x50, 0xa9, 0x98, 0x84, 0x5e, 0x86, 0xef, 0xd6, 0xf0, 0xf8, 0x0e, 0x89, 0x05, 0x2f, 0xd9, 0x5f, 0x15, 0x5f, 0x73, 0x79}}},
 {{{0xc8, 0x5c, 0x16, 0xfe, 0xed, 0x9f, 0x26, 0x56, 0xf6, 0x4b, 0x9f, 0xa7, 0x0a, 0x85, 0xfe, 0xa5, 0x8c, 0x87, 0xdd, 0x98, 0xce, 0x4e, 0xc3, 0x58, 0x55, 0xb2, 0x7b, 0x3d, 0xd8, 0x6b, 0xb5, 0x4c}} ,
  {{0x65, 0x38, 0xa0, 0x15, 0xfa, 0xa7, 0xb4, 0x8f, 0xeb, 0xc4, 0x86, 0x9b, 0x30, 0xa5, 0x5e, 0x4d, 0xea, 0x8a, 0x9a, 0x9f, 0x1a, 0xd8, 0x5b, 0x53, 0x14, 0x19, 0x25, 0x63, 0xb4, 0x6f, 0x1f, 0x5d}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xac, 0x8f, 0xbc, 0x1e, 0x7d, 0x8b, 0x5a, 0x0b, 0x8d, 0xaf, 0x76, 0x2e, 0x71, 0xe3, 0x3b, 0x6f, 0x53, 0x2f, 0x3e, 0x90, 0x95, 0xd4, 0x35, 0x14, 0x4f, 0x8c, 0x3c, 0xce, 0x57, 0x1c, 0x76, 0x49}} ,
  {{0xa8, 0x50, 0xe1, 0x61, 0x6b, 0x57, 0x35, 0xeb, 0x44, 0x0b, 0x0c, 0x6e, 0xf9, 0x25, 0x80, 0x74, 0xf2, 0x8f, 0x6f, 0x7a, 0x3e, 0x7f, 0x2d, 0xf3, 0x4e, 0x09, 0x65, 0x10, 0x5e, 0x03, 0x25, 0x32}}},
@@ -1251,7 +1251,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x97, 0x67, 0x9e, 0xeb, 0x6a, 0xf9, 0x6e, 0xd6, 0x73, 0xe8, 0x6b, 0x29, 0xec, 0x63, 0x82, 0x00, 0xa8, 0x99, 0x1c, 0x1d, 0x30, 0xc8, 0x90, 0x52, 0x90, 0xb6, 0x6a, 0x80, 0x4e, 0xff, 0x4b, 0x51}}},
 {{{0x0f, 0x7d, 0x63, 0x8c, 0x6e, 0x5c, 0xde, 0x30, 0xdf, 0x65, 0xfa, 0x2e, 0xb0, 0xa3, 0x25, 0x05, 0x54, 0xbd, 0x25, 0xba, 0x06, 0xae, 0xdf, 0x8b, 0xd9, 0x1b, 0xea, 0x38, 0xb3, 0x05, 0x16, 0x09}} ,
  {{0xc7, 0x8c, 0xbf, 0x64, 0x28, 0xad, 0xf8, 0xa5, 0x5a, 0x6f, 0xc9, 0xba, 0xd5, 0x7f, 0xd5, 0xd6, 0xbd, 0x66, 0x2f, 0x3d, 0xaa, 0x54, 0xf6, 0xba, 0x32, 0x22, 0x9a, 0x1e, 0x52, 0x05, 0xf4, 0x1d}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xaa, 0x1f, 0xbb, 0xeb, 0xfe, 0xe4, 0x87, 0xfc, 0xb1, 0x2c, 0xb7, 0x88, 0xf4, 0xc6, 0xb9, 0xf5, 0x24, 0x46, 0xf2, 0xa5, 0x9f, 0x8f, 0x8a, 0x93, 0x70, 0x69, 0xd4, 0x56, 0xec, 0xfd, 0x06, 0x46}} ,
  {{0x4e, 0x66, 0xcf, 0x4e, 0x34, 0xce, 0x0c, 0xd9, 0xa6, 0x50, 0xd6, 0x5e, 0x95, 0xaf, 0xe9, 0x58, 0xfa, 0xee, 0x9b, 0xb8, 0xa5, 0x0f, 0x35, 0xe0, 0x43, 0x82, 0x6d, 0x65, 0xe6, 0xd9, 0x00, 0x0f}}},
@@ -1261,7 +1261,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x99, 0xeb, 0x7c, 0x31, 0x73, 0x64, 0x67, 0x7f, 0x0c, 0x66, 0xaa, 0x8c, 0x69, 0x91, 0xe2, 0x26, 0xd3, 0x23, 0xe2, 0x76, 0x5d, 0x32, 0x52, 0xdf, 0x5d, 0xc5, 0x8f, 0xb7, 0x7c, 0x84, 0xb3, 0x70}}},
 {{{0xeb, 0x01, 0xc7, 0x36, 0x97, 0x4e, 0xb6, 0xab, 0x5f, 0x0d, 0x2c, 0xba, 0x67, 0x64, 0x55, 0xde, 0xbc, 0xff, 0xa6, 0xec, 0x04, 0xd3, 0x8d, 0x39, 0x56, 0x5e, 0xee, 0xf8, 0xe4, 0x2e, 0x33, 0x62}} ,
  {{0x65, 0xef, 0xb8, 0x9f, 0xc8, 0x4b, 0xa7, 0xfd, 0x21, 0x49, 0x9b, 0x92, 0x35, 0x82, 0xd6, 0x0a, 0x9b, 0xf2, 0x79, 0xf1, 0x47, 0x2f, 0x6a, 0x7e, 0x9f, 0xcf, 0x18, 0x02, 0x3c, 0xfb, 0x1b, 0x3e}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x2f, 0x8b, 0xc8, 0x40, 0x51, 0xd1, 0xac, 0x1a, 0x0b, 0xe4, 0xa9, 0xa2, 0x42, 0x21, 0x19, 0x2f, 0x7b, 0x97, 0xbf, 0xf7, 0x57, 0x6d, 0x3f, 0x3d, 0x4f, 0x0f, 0xe2, 0xb2, 0x81, 0x00, 0x9e, 0x7b}} ,
  {{0x8c, 0x85, 0x2b, 0xc4, 0xfc, 0xf1, 0xab, 0xe8, 0x79, 0x22, 0xc4, 0x84, 0x17, 0x3a, 0xfa, 0x86, 0xa6, 0x7d, 0xf9, 0xf3, 0x6f, 0x03, 0x57, 0x20, 0x4d, 0x79, 0xf9, 0x6e, 0x71, 0x54, 0x38, 0x09}}},
@@ -1271,7 +1271,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x57, 0x82, 0x1c, 0xab, 0xbf, 0x62, 0x70, 0xe8, 0xc4, 0xcf, 0xf0, 0x28, 0x6e, 0x16, 0x3c, 0x08, 0x78, 0x89, 0x85, 0x46, 0x0f, 0xf6, 0x7f, 0xcf, 0xcb, 0x7e, 0xb8, 0x25, 0xe9, 0x5a, 0xfa, 0x03}}},
 {{{0xfb, 0x95, 0x92, 0x63, 0x50, 0xfc, 0x62, 0xf0, 0xa4, 0x5e, 0x8c, 0x18, 0xc2, 0x17, 0x24, 0xb7, 0x78, 0xc2, 0xa9, 0xe7, 0x6a, 0x32, 0xd6, 0x29, 0x85, 0xaf, 0xcb, 0x8d, 0x91, 0x13, 0xda, 0x6b}} ,
  {{0x36, 0x0a, 0xc2, 0xb6, 0x4b, 0xa5, 0x5d, 0x07, 0x17, 0x41, 0x31, 0x5f, 0x62, 0x46, 0xf8, 0x92, 0xf9, 0x66, 0x48, 0x73, 0xa6, 0x97, 0x0d, 0x7d, 0x88, 0xee, 0x62, 0xb1, 0x03, 0xa8, 0x3f, 0x2c}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x4a, 0xb1, 0x70, 0x8a, 0xa9, 0xe8, 0x63, 0x79, 0x00, 0xe2, 0x25, 0x16, 0xca, 0x4b, 0x0f, 0xa4, 0x66, 0xad, 0x19, 0x9f, 0x88, 0x67, 0x0c, 0x8b, 0xc2, 0x4a, 0x5b, 0x2b, 0x6d, 0x95, 0xaf, 0x19}} ,
  {{0x8b, 0x9d, 0xb6, 0xcc, 0x60, 0xb4, 0x72, 0x4f, 0x17, 0x69, 0x5a, 0x4a, 0x68, 0x34, 0xab, 0xa1, 0x45, 0x32, 0x3c, 0x83, 0x87, 0x72, 0x30, 0x54, 0x77, 0x68, 0xae, 0xfb, 0xb5, 0x8b, 0x22, 0x5e}}},
@@ -1281,7 +1281,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x32, 0x65, 0x03, 0xe5, 0x89, 0xa6, 0x6e, 0xb3, 0x5b, 0x8e, 0xca, 0xeb, 0xfe, 0x22, 0x56, 0x8b, 0x5d, 0x14, 0x4b, 0x4d, 0xf9, 0xbe, 0xb5, 0xf5, 0xe6, 0x5c, 0x7b, 0x8b, 0xf4, 0x13, 0x11, 0x34}}},
 {{{0x07, 0xc6, 0x22, 0x15, 0xe2, 0x9c, 0x60, 0xa2, 0x19, 0xd9, 0x27, 0xae, 0x37, 0x4e, 0xa6, 0xc9, 0x80, 0xa6, 0x91, 0x8f, 0x12, 0x49, 0xe5, 0x00, 0x18, 0x47, 0xd1, 0xd7, 0x28, 0x22, 0x63, 0x39}} ,
  {{0xe8, 0xe2, 0x00, 0x7e, 0xf2, 0x9e, 0x1e, 0x99, 0x39, 0x95, 0x04, 0xbd, 0x1e, 0x67, 0x7b, 0xb2, 0x26, 0xac, 0xe6, 0xaa, 0xe2, 0x46, 0xd5, 0xe4, 0xe8, 0x86, 0xbd, 0xab, 0x7c, 0x55, 0x59, 0x6f}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x24, 0x64, 0x6e, 0x9b, 0x35, 0x71, 0x78, 0xce, 0x33, 0x03, 0x21, 0x33, 0x36, 0xf1, 0x73, 0x9b, 0xb9, 0x15, 0x8b, 0x2c, 0x69, 0xcf, 0x4d, 0xed, 0x4f, 0x4d, 0x57, 0x14, 0x13, 0x82, 0xa4, 0x4d}} ,
  {{0x65, 0x6e, 0x0a, 0xa4, 0x59, 0x07, 0x17, 0xf2, 0x6b, 0x4a, 0x1f, 0x6e, 0xf6, 0xb5, 0xbc, 0x62, 0xe4, 0xb6, 0xda, 0xa2, 0x93, 0xbc, 0x29, 0x05, 0xd2, 0xd2, 0x73, 0x46, 0x03, 0x16, 0x40, 0x31}}},
@@ -1291,7 +1291,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x86, 0x17, 0x90, 0xe7, 0xc9, 0x1f, 0x10, 0xa5, 0x6a, 0x2d, 0x39, 0xd0, 0x3b, 0xc4, 0xa6, 0xe9, 0x59, 0x13, 0xda, 0x1a, 0xe6, 0xa0, 0xb9, 0x3c, 0x50, 0xb8, 0x40, 0x7c, 0x15, 0x36, 0x5a, 0x42}}},
 {{{0xb4, 0x0b, 0x32, 0xab, 0xdc, 0x04, 0x51, 0x55, 0x21, 0x1e, 0x0b, 0x75, 0x99, 0x89, 0x73, 0x35, 0x3a, 0x91, 0x2b, 0xfe, 0xe7, 0x49, 0xea, 0x76, 0xc1, 0xf9, 0x46, 0xb9, 0x53, 0x02, 0x23, 0x04}} ,
  {{0xfc, 0x5a, 0x1e, 0x1d, 0x74, 0x58, 0x95, 0xa6, 0x8f, 0x7b, 0x97, 0x3e, 0x17, 0x3b, 0x79, 0x2d, 0xa6, 0x57, 0xef, 0x45, 0x02, 0x0b, 0x4d, 0x6e, 0x9e, 0x93, 0x8d, 0x2f, 0xd9, 0x9d, 0xdb, 0x04}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xc0, 0xd7, 0x56, 0x97, 0x58, 0x91, 0xde, 0x09, 0x4f, 0x9f, 0xbe, 0x63, 0xb0, 0x83, 0x86, 0x43, 0x5d, 0xbc, 0xe0, 0xf3, 0xc0, 0x75, 0xbf, 0x8b, 0x8e, 0xaa, 0xf7, 0x8b, 0x64, 0x6e, 0xb0, 0x63}} ,
  {{0x16, 0xae, 0x8b, 0xe0, 0x9b, 0x24, 0x68, 0x5c, 0x44, 0xc2, 0xd0, 0x08, 0xb7, 0x7b, 0x62, 0xfd, 0x7f, 0xd8, 0xd4, 0xb7, 0x50, 0xfd, 0x2c, 0x1b, 0xbf, 0x41, 0x95, 0xd9, 0x8e, 0xd8, 0x17, 0x1b}}},
@@ -1301,7 +1301,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x02, 0xfb, 0x54, 0xb8, 0x05, 0xf3, 0x81, 0x52, 0x69, 0x34, 0x46, 0x9d, 0x86, 0x76, 0x8f, 0xd7, 0xf8, 0x6a, 0x66, 0xff, 0xe6, 0xa7, 0x90, 0xf7, 0x5e, 0xcd, 0x6a, 0x9b, 0x55, 0xfc, 0x9d, 0x48}}},
 {{{0xbd, 0xaa, 0x13, 0xe6, 0xcd, 0x45, 0x4a, 0xa4, 0x59, 0x0a, 0x64, 0xb1, 0x98, 0xd6, 0x34, 0x13, 0x04, 0xe6, 0x97, 0x94, 0x06, 0xcb, 0xd4, 0x4e, 0xbb, 0x96, 0xcd, 0xd1, 0x57, 0xd1, 0xe3, 0x06}} ,
  {{0x7a, 0x6c, 0x45, 0x27, 0xc4, 0x93, 0x7f, 0x7d, 0x7c, 0x62, 0x50, 0x38, 0x3a, 0x6b, 0xb5, 0x88, 0xc6, 0xd9, 0xf1, 0x78, 0x19, 0xb9, 0x39, 0x93, 0x3d, 0xc9, 0xe0, 0x9c, 0x3c, 0xce, 0xf5, 0x72}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x24, 0xea, 0x23, 0x7d, 0x56, 0x2c, 0xe2, 0x59, 0x0e, 0x85, 0x60, 0x04, 0x88, 0x5a, 0x74, 0x1e, 0x4b, 0xef, 0x13, 0xda, 0x4c, 0xff, 0x83, 0x45, 0x85, 0x3f, 0x08, 0x95, 0x2c, 0x20, 0x13, 0x1f}} ,
  {{0x48, 0x5f, 0x27, 0x90, 0x5c, 0x02, 0x42, 0xad, 0x78, 0x47, 0x5c, 0xb5, 0x7e, 0x08, 0x85, 0x00, 0xfa, 0x7f, 0xfd, 0xfd, 0xe7, 0x09, 0x11, 0xf2, 0x7e, 0x1b, 0x38, 0x6c, 0x35, 0x6d, 0x33, 0x66}}},
@@ -1311,7 +1311,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x4e, 0x3b, 0x69, 0xc8, 0x43, 0x75, 0x51, 0x6c, 0x79, 0x56, 0xe4, 0xcb, 0xf7, 0xa6, 0x51, 0xc2, 0x2c, 0x42, 0x0b, 0xd4, 0x82, 0x20, 0x1c, 0x01, 0x08, 0x66, 0xd7, 0xbf, 0x04, 0x56, 0xfc, 0x02}}},
 {{{0x24, 0xe8, 0xb7, 0x60, 0xae, 0x47, 0x80, 0xfc, 0xe5, 0x23, 0xe7, 0xc2, 0xc9, 0x85, 0xe6, 0x98, 0xa0, 0x29, 0x4e, 0xe1, 0x84, 0x39, 0x2d, 0x95, 0x2c, 0xf3, 0x45, 0x3c, 0xff, 0xaf, 0x27, 0x4c}} ,
  {{0x6b, 0xa6, 0xf5, 0x4b, 0x11, 0xbd, 0xba, 0x5b, 0x9e, 0xc4, 0xa4, 0x51, 0x1e, 0xbe, 0xd0, 0x90, 0x3a, 0x9c, 0xc2, 0x26, 0xb6, 0x1e, 0xf1, 0x95, 0x7d, 0xc8, 0x6d, 0x52, 0xe6, 0x99, 0x2c, 0x5f}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x85, 0xe0, 0x24, 0x32, 0xb4, 0xd1, 0xef, 0xfc, 0x69, 0xa2, 0xbf, 0x8f, 0x72, 0x2c, 0x95, 0xf6, 0xe4, 0x6e, 0x7d, 0x90, 0xf7, 0x57, 0x81, 0xa0, 0xf7, 0xda, 0xef, 0x33, 0x07, 0xe3, 0x6b, 0x78}} ,
  {{0x36, 0x27, 0x3e, 0xc6, 0x12, 0x07, 0xab, 0x4e, 0xbe, 0x69, 0x9d, 0xb3, 0xbe, 0x08, 0x7c, 0x2a, 0x47, 0x08, 0xfd, 0xd4, 0xcd, 0x0e, 0x27, 0x34, 0x5b, 0x98, 0x34, 0x2f, 0x77, 0x5f, 0x3a, 0x65}}},
@@ -1321,7 +1321,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x77, 0x5b, 0xe2, 0x37, 0xc7, 0xe1, 0x7c, 0x13, 0x8c, 0x9f, 0x7b, 0x7b, 0x2a, 0xce, 0x42, 0xa3, 0xb9, 0x2a, 0x99, 0xa8, 0xc0, 0xd8, 0x3c, 0x86, 0xb0, 0xfb, 0xe9, 0x76, 0x77, 0xf7, 0xf5, 0x56}}},
 {{{0xdf, 0xb3, 0x46, 0x11, 0x6e, 0x13, 0xb7, 0x28, 0x4e, 0x56, 0xdd, 0xf1, 0xac, 0xad, 0x58, 0xc3, 0xf8, 0x88, 0x94, 0x5e, 0x06, 0x98, 0xa1, 0xe4, 0x6a, 0xfb, 0x0a, 0x49, 0x5d, 0x8a, 0xfe, 0x77}} ,
  {{0x46, 0x02, 0xf5, 0xa5, 0xaf, 0xc5, 0x75, 0x6d, 0xba, 0x45, 0x35, 0x0a, 0xfe, 0xc9, 0xac, 0x22, 0x91, 0x8d, 0x21, 0x95, 0x33, 0x03, 0xc0, 0x8a, 0x16, 0xf3, 0x39, 0xe0, 0x01, 0x0f, 0x53, 0x3c}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x34, 0x75, 0x37, 0x1f, 0x34, 0x4e, 0xa9, 0x1d, 0x68, 0x67, 0xf8, 0x49, 0x98, 0x96, 0xfc, 0x4c, 0x65, 0x97, 0xf7, 0x02, 0x4a, 0x52, 0x6c, 0x01, 0xbd, 0x48, 0xbb, 0x1b, 0xed, 0xa4, 0xe2, 0x53}} ,
  {{0x59, 0xd5, 0x9b, 0x5a, 0xa2, 0x90, 0xd3, 0xb8, 0x37, 0x4c, 0x55, 0x82, 0x28, 0x08, 0x0f, 0x7f, 0xaa, 0x81, 0x65, 0xe0, 0x0c, 0x52, 0xc9, 0xa3, 0x32, 0x27, 0x64, 0xda, 0xfd, 0x34, 0x23, 0x5a}}},
@@ -1331,7 +1331,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x1d, 0x29, 0x7a, 0xa1, 0xec, 0x8e, 0xb5, 0xad, 0xea, 0x02, 0x68, 0x60, 0x74, 0x29, 0x1c, 0xa5, 0xcf, 0xc8, 0x3b, 0x7d, 0x8b, 0x2b, 0x7c, 0xad, 0xa4, 0x40, 0x17, 0x51, 0x59, 0x7c, 0x2e, 0x5d}}},
 {{{0x0a, 0x6c, 0x4f, 0xbc, 0x3e, 0x32, 0xe7, 0x4a, 0x1a, 0x13, 0xc1, 0x49, 0x38, 0xbf, 0xf7, 0xc2, 0xd3, 0x8f, 0x6b, 0xad, 0x52, 0xf7, 0xcf, 0xbc, 0x27, 0xcb, 0x40, 0x67, 0x76, 0xcd, 0x6d, 0x56}} ,
  {{0xe5, 0xb0, 0x27, 0xad, 0xbe, 0x9b, 0xf2, 0xb5, 0x63, 0xde, 0x3a, 0x23, 0x95, 0xb7, 0x0a, 0x7e, 0xf3, 0x9e, 0x45, 0x6f, 0x19, 0x39, 0x75, 0x8f, 0x39, 0x3d, 0x0f, 0xc0, 0x9f, 0xf1, 0xe9, 0x51}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x88, 0xaa, 0x14, 0x24, 0x86, 0x94, 0x11, 0x12, 0x3e, 0x1a, 0xb5, 0xcc, 0xbb, 0xe0, 0x9c, 0xd5, 0x9c, 0x6d, 0xba, 0x58, 0x72, 0x8d, 0xfb, 0x22, 0x7b, 0x9f, 0x7c, 0x94, 0x30, 0xb3, 0x51, 0x21}} ,
  {{0xf6, 0x74, 0x3d, 0xf2, 0xaf, 0xd0, 0x1e, 0x03, 0x7c, 0x23, 0x6b, 0xc9, 0xfc, 0x25, 0x70, 0x90, 0xdc, 0x9a, 0xa4, 0xfb, 0x49, 0xfc, 0x3d, 0x0a, 0x35, 0x38, 0x6f, 0xe4, 0x7e, 0x50, 0x01, 0x2a}}},
@@ -1341,7 +1341,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x84, 0x7c, 0xc2, 0xa6, 0x91, 0x23, 0xce, 0xbd, 0xdc, 0xf9, 0xce, 0xd5, 0x75, 0x30, 0x22, 0xe6, 0xf9, 0x43, 0x62, 0x0d, 0xf7, 0x75, 0x9d, 0x7f, 0x8c, 0xff, 0x7d, 0xe4, 0x72, 0xac, 0x9f, 0x1c}}},
 {{{0x88, 0xc1, 0x99, 0xd0, 0x3c, 0x1c, 0x5d, 0xb4, 0xef, 0x13, 0x0f, 0x90, 0xb9, 0x36, 0x2f, 0x95, 0x95, 0xc6, 0xdc, 0xde, 0x0a, 0x51, 0xe2, 0x8d, 0xf3, 0xbc, 0x51, 0xec, 0xdf, 0xb1, 0xa2, 0x5f}} ,
  {{0x2e, 0x68, 0xa1, 0x23, 0x7d, 0x9b, 0x40, 0x69, 0x85, 0x7b, 0x42, 0xbf, 0x90, 0x4b, 0xd6, 0x40, 0x2f, 0xd7, 0x52, 0x52, 0xb2, 0x21, 0xde, 0x64, 0xbd, 0x88, 0xc3, 0x6d, 0xa5, 0xfa, 0x81, 0x3f}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xfb, 0xfd, 0x47, 0x7b, 0x8a, 0x66, 0x9e, 0x79, 0x2e, 0x64, 0x82, 0xef, 0xf7, 0x21, 0xec, 0xf6, 0xd8, 0x86, 0x09, 0x31, 0x7c, 0xdd, 0x03, 0x6a, 0x58, 0xa0, 0x77, 0xb7, 0x9b, 0x8c, 0x87, 0x1f}} ,
  {{0x55, 0x47, 0xe4, 0xa8, 0x3d, 0x55, 0x21, 0x34, 0xab, 0x1d, 0xae, 0xe0, 0xf4, 0xea, 0xdb, 0xc5, 0xb9, 0x58, 0xbf, 0xc4, 0x2a, 0x89, 0x31, 0x1a, 0xf4, 0x2d, 0xe1, 0xca, 0x37, 0x99, 0x47, 0x59}}},
@@ -1351,7 +1351,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x29, 0xac, 0xff, 0x27, 0xe0, 0x59, 0xbe, 0x39, 0x9c, 0x0d, 0x83, 0xd7, 0x10, 0x0b, 0x15, 0xb7, 0xe1, 0xc2, 0x2c, 0x30, 0x73, 0x80, 0x3a, 0x7d, 0x5d, 0xab, 0x58, 0x6b, 0xc1, 0xf0, 0xf4, 0x22}}},
 {{{0xfe, 0x7f, 0xfb, 0x35, 0x7d, 0xc6, 0x01, 0x23, 0x28, 0xc4, 0x02, 0xac, 0x1f, 0x42, 0xb4, 0x9d, 0xfc, 0x00, 0x94, 0xa5, 0xee, 0xca, 0xda, 0x97, 0x09, 0x41, 0x77, 0x87, 0x5d, 0x7b, 0x87, 0x78}} ,
  {{0xf5, 0xfb, 0x90, 0x2d, 0x81, 0x19, 0x9e, 0x2f, 0x6d, 0x85, 0x88, 0x8c, 0x40, 0x5c, 0x77, 0x41, 0x4d, 0x01, 0x19, 0x76, 0x60, 0xe8, 0x4c, 0x48, 0xe4, 0x33, 0x83, 0x32, 0x6c, 0xb4, 0x41, 0x03}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xff, 0x10, 0xc2, 0x09, 0x4f, 0x6e, 0xf4, 0xd2, 0xdf, 0x7e, 0xca, 0x7b, 0x1c, 0x1d, 0xba, 0xa3, 0xb6, 0xda, 0x67, 0x33, 0xd4, 0x87, 0x36, 0x4b, 0x11, 0x20, 0x05, 0xa6, 0x29, 0xc1, 0x87, 0x17}} ,
  {{0xf6, 0x96, 0xca, 0x2f, 0xda, 0x38, 0xa7, 0x1b, 0xfc, 0xca, 0x7d, 0xfe, 0x08, 0x89, 0xe2, 0x47, 0x2b, 0x6a, 0x5d, 0x4b, 0xfa, 0xa1, 0xb4, 0xde, 0xb6, 0xc2, 0x31, 0x51, 0xf5, 0xe0, 0xa4, 0x0b}}},
@@ -1361,7 +1361,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x0c, 0x0e, 0xf3, 0xba, 0xf0, 0xe5, 0xba, 0xb2, 0x57, 0x77, 0xc6, 0x20, 0x9b, 0x89, 0x24, 0xbe, 0xf2, 0x9c, 0x8a, 0xba, 0x69, 0xc1, 0xf1, 0xb0, 0x4f, 0x2a, 0x05, 0x9a, 0xee, 0x10, 0x7e, 0x36}}},
 {{{0x3f, 0x26, 0xe9, 0x40, 0xe9, 0x03, 0xad, 0x06, 0x69, 0x91, 0xe0, 0xd1, 0x89, 0x60, 0x84, 0x79, 0xde, 0x27, 0x6d, 0xe6, 0x76, 0xbd, 0xea, 0xe6, 0xae, 0x48, 0xc3, 0x67, 0xc0, 0x57, 0xcd, 0x2f}} ,
  {{0x7f, 0xc1, 0xdc, 0xb9, 0xc7, 0xbc, 0x86, 0x3d, 0x55, 0x4b, 0x28, 0x7a, 0xfb, 0x4d, 0xc7, 0xf8, 0xbc, 0x67, 0x2a, 0x60, 0x4d, 0x8f, 0x07, 0x0b, 0x1a, 0x17, 0xbf, 0xfa, 0xac, 0xa7, 0x3d, 0x1a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x91, 0x3f, 0xed, 0x5e, 0x18, 0x78, 0x3f, 0x23, 0x2c, 0x0d, 0x8c, 0x44, 0x00, 0xe8, 0xfb, 0xe9, 0x8e, 0xd6, 0xd1, 0x36, 0x58, 0x57, 0x9e, 0xae, 0x4b, 0x5c, 0x0b, 0x07, 0xbc, 0x6b, 0x55, 0x2b}} ,
  {{0x6f, 0x4d, 0x17, 0xd7, 0xe1, 0x84, 0xd9, 0x78, 0xb1, 0x90, 0xfd, 0x2e, 0xb3, 0xb5, 0x19, 0x3f, 0x1b, 0xfa, 0xc0, 0x68, 0xb3, 0xdd, 0x00, 0x2e, 0x89, 0xbd, 0x7e, 0x80, 0x32, 0x13, 0xa0, 0x7b}}},
@@ -1371,7 +1371,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x01, 0xb8, 0xd6, 0x16, 0x67, 0xa0, 0x15, 0xb9, 0xe1, 0x58, 0xa4, 0xa7, 0x31, 0x37, 0x77, 0x2f, 0x8b, 0x12, 0x9f, 0xf4, 0x3f, 0xc7, 0x36, 0x66, 0xd2, 0xa8, 0x56, 0xf7, 0x7f, 0x74, 0xc6, 0x41}}},
 {{{0x5d, 0xf8, 0xb4, 0xa8, 0x30, 0xdd, 0xcc, 0x38, 0xa5, 0xd3, 0xca, 0xd8, 0xd1, 0xf8, 0xb2, 0x31, 0x91, 0xd4, 0x72, 0x05, 0x57, 0x4a, 0x3b, 0x82, 0x4a, 0xc6, 0x68, 0x20, 0xe2, 0x18, 0x41, 0x61}} ,
  {{0x19, 0xd4, 0x8d, 0x47, 0x29, 0x12, 0x65, 0xb0, 0x11, 0x78, 0x47, 0xb5, 0xcb, 0xa3, 0xa5, 0xfa, 0x05, 0x85, 0x54, 0xa9, 0x33, 0x97, 0x8d, 0x2b, 0xc2, 0xfe, 0x99, 0x35, 0x28, 0xe5, 0xeb, 0x63}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xb1, 0x3f, 0x3f, 0xef, 0xd8, 0xf4, 0xfc, 0xb3, 0xa0, 0x60, 0x50, 0x06, 0x2b, 0x29, 0x52, 0x70, 0x15, 0x0b, 0x24, 0x24, 0xf8, 0x5f, 0x79, 0x18, 0xcc, 0xff, 0x89, 0x99, 0x84, 0xa1, 0xae, 0x13}} ,
  {{0x44, 0x1f, 0xb8, 0xc2, 0x01, 0xc1, 0x30, 0x19, 0x55, 0x05, 0x60, 0x10, 0xa4, 0x6c, 0x2d, 0x67, 0x70, 0xe5, 0x25, 0x1b, 0xf2, 0xbf, 0xdd, 0xfb, 0x70, 0x2b, 0xa1, 0x8c, 0x9c, 0x94, 0x84, 0x08}}},
@@ -1381,7 +1381,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xdc, 0xff, 0x15, 0x61, 0x2f, 0x4a, 0x2f, 0x62, 0xf2, 0x04, 0x2f, 0xb5, 0x0c, 0xb7, 0x1e, 0x3f, 0x74, 0x1a, 0x0f, 0xd7, 0xea, 0xcd, 0xd9, 0x7d, 0xf6, 0x12, 0x0e, 0x2f, 0xdb, 0x5a, 0x3b, 0x16}}},
 {{{0x1b, 0x37, 0x47, 0xe3, 0xf5, 0x9e, 0xea, 0x2c, 0x2a, 0xe7, 0x82, 0x36, 0xf4, 0x1f, 0x81, 0x47, 0x92, 0x4b, 0x69, 0x0e, 0x11, 0x8c, 0x5d, 0x53, 0x5b, 0x81, 0x27, 0x08, 0xbc, 0xa0, 0xae, 0x25}} ,
  {{0x69, 0x32, 0xa1, 0x05, 0x11, 0x42, 0x00, 0xd2, 0x59, 0xac, 0x4d, 0x62, 0x8b, 0x13, 0xe2, 0x50, 0x5d, 0xa0, 0x9d, 0x9b, 0xfd, 0xbb, 0x12, 0x41, 0x75, 0x41, 0x9e, 0xcc, 0xdc, 0xc7, 0xdc, 0x5d}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xd9, 0xe3, 0x38, 0x06, 0x46, 0x70, 0x82, 0x5e, 0x28, 0x49, 0x79, 0xff, 0x25, 0xd2, 0x4e, 0x29, 0x8d, 0x06, 0xb0, 0x23, 0xae, 0x9b, 0x66, 0xe4, 0x7d, 0xc0, 0x70, 0x91, 0xa3, 0xfc, 0xec, 0x4e}} ,
  {{0x62, 0x12, 0x37, 0x6a, 0x30, 0xf6, 0x1e, 0xfb, 0x14, 0x5c, 0x0d, 0x0e, 0xb7, 0x81, 0x6a, 0xe7, 0x08, 0x05, 0xac, 0xaa, 0x38, 0x46, 0xe2, 0x73, 0xea, 0x4b, 0x07, 0x81, 0x43, 0x7c, 0x9e, 0x5e}}},
@@ -1391,7 +1391,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xe5, 0x44, 0xec, 0x06, 0x9d, 0x90, 0x79, 0x9f, 0xd3, 0xe0, 0x79, 0xaf, 0x8f, 0x10, 0xfd, 0xdd, 0x04, 0xae, 0x27, 0x97, 0x46, 0x33, 0x79, 0xea, 0xb8, 0x4e, 0xca, 0x5a, 0x59, 0x57, 0xe1, 0x0e}}},
 {{{0x1a, 0xda, 0xf3, 0xa5, 0x41, 0x43, 0x28, 0xfc, 0x7e, 0xe7, 0x71, 0xea, 0xc6, 0x3b, 0x59, 0xcc, 0x2e, 0xd3, 0x40, 0xec, 0xb3, 0x13, 0x6f, 0x44, 0xcd, 0x13, 0xb2, 0x37, 0xf2, 0x6e, 0xd9, 0x1c}} ,
  {{0xe3, 0xdb, 0x60, 0xcd, 0x5c, 0x4a, 0x18, 0x0f, 0xef, 0x73, 0x36, 0x71, 0x8c, 0xf6, 0x11, 0xb4, 0xd8, 0xce, 0x17, 0x5e, 0x4f, 0x26, 0x77, 0x97, 0x5f, 0xcb, 0xef, 0x91, 0xeb, 0x6a, 0x62, 0x7a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x18, 0x4a, 0xa2, 0x97, 0x08, 0x81, 0x2d, 0x83, 0xc4, 0xcc, 0xf0, 0x83, 0x7e, 0xec, 0x0d, 0x95, 0x4c, 0x5b, 0xfb, 0xfa, 0x98, 0x80, 0x4a, 0x66, 0x56, 0x0c, 0x51, 0xb3, 0xf2, 0x04, 0x5d, 0x27}} ,
  {{0x3b, 0xb9, 0xb8, 0x06, 0x5a, 0x2e, 0xfe, 0xc3, 0x82, 0x37, 0x9c, 0xa3, 0x11, 0x1f, 0x9c, 0xa6, 0xda, 0x63, 0x48, 0x9b, 0xad, 0xde, 0x2d, 0xa6, 0xbc, 0x6e, 0x32, 0xda, 0x27, 0x65, 0xdd, 0x57}}},
@@ -1401,7 +1401,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xa4, 0x4b, 0x62, 0x4c, 0xe6, 0xfd, 0x72, 0x07, 0xf2, 0x81, 0xfc, 0xf2, 0xbd, 0x12, 0x7c, 0x68, 0x76, 0x2a, 0xba, 0xf5, 0x65, 0xb1, 0x1f, 0x17, 0x0a, 0x38, 0xb0, 0xbf, 0xc0, 0xf8, 0xf4, 0x2a}}},
 {{{0x55, 0x60, 0x55, 0x5b, 0xe4, 0x1d, 0x71, 0x4c, 0x9d, 0x5b, 0x9f, 0x70, 0xa6, 0x85, 0x9a, 0x2c, 0xa0, 0xe2, 0x32, 0x48, 0xce, 0x9e, 0x2a, 0xa5, 0x07, 0x3b, 0xc7, 0x6c, 0x86, 0x77, 0xde, 0x3c}} ,
  {{0xf7, 0x18, 0x7a, 0x96, 0x7e, 0x43, 0x57, 0xa9, 0x55, 0xfc, 0x4e, 0xb6, 0x72, 0x00, 0xf2, 0xe4, 0xd7, 0x52, 0xd3, 0xd3, 0xb6, 0x85, 0xf6, 0x71, 0xc7, 0x44, 0x3f, 0x7f, 0xd7, 0xb3, 0xf2, 0x79}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x46, 0xca, 0xa7, 0x55, 0x7b, 0x79, 0xf3, 0xca, 0x5a, 0x65, 0xf6, 0xed, 0x50, 0x14, 0x7b, 0xe4, 0xc4, 0x2a, 0x65, 0x9e, 0xe2, 0xf9, 0xca, 0xa7, 0x22, 0x26, 0x53, 0xcb, 0x21, 0x5b, 0xa7, 0x31}} ,
  {{0x90, 0xd7, 0xc5, 0x26, 0x08, 0xbd, 0xb0, 0x53, 0x63, 0x58, 0xc3, 0x31, 0x5e, 0x75, 0x46, 0x15, 0x91, 0xa6, 0xf8, 0x2f, 0x1a, 0x08, 0x65, 0x88, 0x2f, 0x98, 0x04, 0xf1, 0x7c, 0x6e, 0x00, 0x77}}},
@@ -1411,7 +1411,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x68, 0x0e, 0x6f, 0x97, 0xba, 0x70, 0xbb, 0xa3, 0x0e, 0xe5, 0x0b, 0x12, 0xf4, 0xa2, 0xdc, 0x47, 0xf8, 0xe6, 0xd0, 0x23, 0x6c, 0x33, 0xa8, 0x99, 0x46, 0x6e, 0x0f, 0x44, 0xba, 0x76, 0x48, 0x0f}}},
 {{{0xa3, 0x2a, 0x61, 0x37, 0xe2, 0x59, 0x12, 0x0e, 0x27, 0xba, 0x64, 0x43, 0xae, 0xc0, 0x42, 0x69, 0x79, 0xa4, 0x1e, 0x29, 0x8b, 0x15, 0xeb, 0xf8, 0xaf, 0xd4, 0xa2, 0x68, 0x33, 0xb5, 0x7a, 0x24}} ,
  {{0x2c, 0x19, 0x33, 0xdd, 0x1b, 0xab, 0xec, 0x01, 0xb0, 0x23, 0xf8, 0x42, 0x2b, 0x06, 0x88, 0xea, 0x3d, 0x2d, 0x00, 0x2a, 0x78, 0x45, 0x4d, 0x38, 0xed, 0x2e, 0x2e, 0x44, 0x49, 0xed, 0xcb, 0x33}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xa0, 0x68, 0xe8, 0x41, 0x8f, 0x91, 0xf8, 0x11, 0x13, 0x90, 0x2e, 0xa7, 0xab, 0x30, 0xef, 0xad, 0xa0, 0x61, 0x00, 0x88, 0xef, 0xdb, 0xce, 0x5b, 0x5c, 0xbb, 0x62, 0xc8, 0x56, 0xf9, 0x00, 0x73}} ,
  {{0x3f, 0x60, 0xc1, 0x82, 0x2d, 0xa3, 0x28, 0x58, 0x24, 0x9e, 0x9f, 0xe3, 0x70, 0xcc, 0x09, 0x4e, 0x1a, 0x3f, 0x11, 0x11, 0x15, 0x07, 0x3c, 0xa4, 0x41, 0xe0, 0x65, 0xa3, 0x0a, 0x41, 0x6d, 0x11}}},
@@ -1421,7 +1421,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x32, 0xb4, 0x18, 0x47, 0x79, 0xcb, 0xd4, 0x5a, 0x07, 0x14, 0x0f, 0xa0, 0xd5, 0xac, 0xd0, 0x41, 0x40, 0xab, 0x61, 0x23, 0xe5, 0x2a, 0x2a, 0x6f, 0xf7, 0xa8, 0xd4, 0x76, 0xef, 0xe7, 0x45, 0x6c}}},
 {{{0xa1, 0x5e, 0x60, 0x4f, 0xfb, 0xe1, 0x70, 0x6a, 0x1f, 0x55, 0x4f, 0x09, 0xb4, 0x95, 0x33, 0x36, 0xc6, 0x81, 0x01, 0x18, 0x06, 0x25, 0x27, 0xa4, 0xb4, 0x24, 0xa4, 0x86, 0x03, 0x4c, 0xac, 0x02}} ,
  {{0x77, 0x38, 0xde, 0xd7, 0x60, 0x48, 0x07, 0xf0, 0x74, 0xa8, 0xff, 0x54, 0xe5, 0x30, 0x43, 0xff, 0x77, 0xfb, 0x21, 0x07, 0xff, 0xb2, 0x07, 0x6b, 0xe4, 0xe5, 0x30, 0xfc, 0x19, 0x6c, 0xa3, 0x01}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x13, 0xc5, 0x2c, 0xac, 0xd3, 0x83, 0x82, 0x7c, 0x29, 0xf7, 0x05, 0xa5, 0x00, 0xb6, 0x1f, 0x86, 0x55, 0xf4, 0xd6, 0x2f, 0x0c, 0x99, 0xd0, 0x65, 0x9b, 0x6b, 0x46, 0x0d, 0x43, 0xf8, 0x16, 0x28}} ,
  {{0x1e, 0x7f, 0xb4, 0x74, 0x7e, 0xb1, 0x89, 0x4f, 0x18, 0x5a, 0xab, 0x64, 0x06, 0xdf, 0x45, 0x87, 0xe0, 0x6a, 0xc6, 0xf0, 0x0e, 0xc9, 0x24, 0x35, 0x38, 0xea, 0x30, 0x54, 0xb4, 0xc4, 0x52, 0x54}}},
@@ -1431,7 +1431,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x32, 0xad, 0xae, 0x85, 0x58, 0x43, 0xb8, 0xb1, 0xe6, 0x3e, 0x00, 0x9c, 0x78, 0x88, 0x56, 0xdb, 0x9c, 0xfc, 0x79, 0xf6, 0xf9, 0x41, 0x5f, 0xb7, 0xbc, 0x11, 0xf9, 0x20, 0x36, 0x1c, 0x53, 0x2b}}},
 {{{0x5a, 0x20, 0x5b, 0xa1, 0xa5, 0x44, 0x91, 0x24, 0x02, 0x63, 0x12, 0x64, 0xb8, 0x55, 0xf6, 0xde, 0x2c, 0xdb, 0x47, 0xb8, 0xc6, 0x0a, 0xc3, 0x00, 0x78, 0x93, 0xd8, 0xf5, 0xf5, 0x18, 0x28, 0x0a}} ,
  {{0xd6, 0x1b, 0x9a, 0x6c, 0xe5, 0x46, 0xea, 0x70, 0x96, 0x8d, 0x4e, 0x2a, 0x52, 0x21, 0x26, 0x4b, 0xb1, 0xbb, 0x0f, 0x7c, 0xa9, 0x9b, 0x04, 0xbb, 0x51, 0x08, 0xf1, 0x9a, 0xa4, 0x76, 0x7c, 0x18}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xfa, 0x94, 0xf7, 0x40, 0xd0, 0xd7, 0xeb, 0xa9, 0x82, 0x36, 0xd5, 0x15, 0xb9, 0x33, 0x7a, 0xbf, 0x8a, 0xf2, 0x63, 0xaa, 0x37, 0xf5, 0x59, 0xac, 0xbd, 0xbb, 0x32, 0x36, 0xbe, 0x73, 0x99, 0x38}} ,
  {{0x2c, 0xb3, 0xda, 0x7a, 0xd8, 0x3d, 0x99, 0xca, 0xd2, 0xf4, 0xda, 0x99, 0x8e, 0x4f, 0x98, 0xb7, 0xf4, 0xae, 0x3e, 0x9f, 0x8e, 0x35, 0x60, 0xa4, 0x33, 0x75, 0xa4, 0x04, 0x93, 0xb1, 0x6b, 0x4d}}},
@@ -1441,7 +1441,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x53, 0xcf, 0xc2, 0xa1, 0xad, 0x6a, 0xf3, 0xcd, 0x8f, 0xc9, 0xde, 0x1c, 0xf8, 0x6c, 0x8f, 0xf8, 0x76, 0x42, 0xe7, 0xfe, 0xb2, 0x72, 0x21, 0x0a, 0x66, 0x74, 0x8f, 0xb7, 0xeb, 0xe4, 0x6f, 0x01}}},
 {{{0x22, 0x8c, 0x6b, 0xbe, 0xfc, 0x4d, 0x70, 0x62, 0x6e, 0x52, 0x77, 0x99, 0x88, 0x7e, 0x7b, 0x57, 0x7a, 0x0d, 0xfe, 0xdc, 0x72, 0x92, 0xf1, 0x68, 0x1d, 0x97, 0xd7, 0x7c, 0x8d, 0x53, 0x10, 0x37}} ,
  {{0x53, 0x88, 0x77, 0x02, 0xca, 0x27, 0xa8, 0xe5, 0x45, 0xe2, 0xa8, 0x48, 0x2a, 0xab, 0x18, 0xca, 0xea, 0x2d, 0x2a, 0x54, 0x17, 0x37, 0x32, 0x09, 0xdc, 0xe0, 0x4a, 0xb7, 0x7d, 0x82, 0x10, 0x7d}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x8a, 0x64, 0x1e, 0x14, 0x0a, 0x57, 0xd4, 0xda, 0x5c, 0x96, 0x9b, 0x01, 0x4c, 0x67, 0xbf, 0x8b, 0x30, 0xfe, 0x08, 0xdb, 0x0d, 0xd5, 0xa8, 0xd7, 0x09, 0x11, 0x85, 0xa2, 0xd3, 0x45, 0xfb, 0x7e}} ,
  {{0xda, 0x8c, 0xc2, 0xd0, 0xac, 0x18, 0xe8, 0x52, 0x36, 0xd4, 0x21, 0xa3, 0xdd, 0x57, 0x22, 0x79, 0xb7, 0xf8, 0x71, 0x9d, 0xc6, 0x91, 0x70, 0x86, 0x56, 0xbf, 0xa1, 0x11, 0x8b, 0x19, 0xe1, 0x0f}}},
@@ -1451,7 +1451,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x62, 0x4f, 0xd0, 0x75, 0x77, 0xba, 0x76, 0x77, 0xd7, 0xb8, 0xd8, 0x92, 0x6f, 0x98, 0x34, 0x3d, 0xd6, 0x4e, 0x1c, 0x0f, 0xf0, 0x8f, 0x2e, 0xf1, 0xb3, 0xbd, 0xb1, 0xb9, 0xec, 0x99, 0xb4, 0x07}}},
 {{{0x60, 0x57, 0x2e, 0x9a, 0x72, 0x1d, 0x6b, 0x6e, 0x58, 0x33, 0x24, 0x8c, 0x48, 0x39, 0x46, 0x8e, 0x89, 0x6a, 0x88, 0x51, 0x23, 0x62, 0xb5, 0x32, 0x09, 0x36, 0xe3, 0x57, 0xf5, 0x98, 0xde, 0x6f}} ,
  {{0x8b, 0x2c, 0x00, 0x48, 0x4a, 0xf9, 0x5b, 0x87, 0x69, 0x52, 0xe5, 0x5b, 0xd1, 0xb1, 0xe5, 0x25, 0x25, 0xe0, 0x9c, 0xc2, 0x13, 0x44, 0xe8, 0xb9, 0x0a, 0x70, 0xad, 0xbd, 0x0f, 0x51, 0x94, 0x69}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xa2, 0xdc, 0xab, 0xa9, 0x25, 0x2d, 0xac, 0x5f, 0x03, 0x33, 0x08, 0xe7, 0x7e, 0xfe, 0x95, 0x36, 0x3c, 0x5b, 0x3a, 0xd3, 0x05, 0x82, 0x1c, 0x95, 0x2d, 0xd8, 0x77, 0x7e, 0x02, 0xd9, 0x5b, 0x70}} ,
  {{0xc2, 0xfe, 0x1b, 0x0c, 0x67, 0xcd, 0xd6, 0xe0, 0x51, 0x8e, 0x2c, 0xe0, 0x79, 0x88, 0xf0, 0xcf, 0x41, 0x4a, 0xad, 0x23, 0xd4, 0x46, 0xca, 0x94, 0xa1, 0xc3, 0xeb, 0x28, 0x06, 0xfa, 0x17, 0x14}}},
@@ -1461,7 +1461,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x64, 0xe9, 0x28, 0xc7, 0xa4, 0xcf, 0x2a, 0xf9, 0x90, 0x64, 0x72, 0x2c, 0x8b, 0xeb, 0xec, 0xa0, 0xf2, 0x7d, 0x35, 0xb5, 0x90, 0x4d, 0x7f, 0x5b, 0x4a, 0x49, 0xe4, 0xb8, 0x3b, 0xc8, 0xa1, 0x2f}}},
 {{{0x8b, 0xc5, 0xcc, 0x3d, 0x69, 0xa6, 0xa1, 0x18, 0x44, 0xbc, 0x4d, 0x77, 0x37, 0xc7, 0x86, 0xec, 0x0c, 0xc9, 0xd6, 0x44, 0xa9, 0x23, 0x27, 0xb9, 0x03, 0x34, 0xa7, 0x0a, 0xd5, 0xc7, 0x34, 0x37}} ,
  {{0xf9, 0x7e, 0x3e, 0x66, 0xee, 0xf9, 0x99, 0x28, 0xff, 0xad, 0x11, 0xd8, 0xe2, 0x66, 0xc5, 0xcd, 0x0f, 0x0d, 0x0b, 0x6a, 0xfc, 0x7c, 0x24, 0xa8, 0x4f, 0xa8, 0x5e, 0x80, 0x45, 0x8b, 0x6c, 0x41}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xef, 0x1e, 0xec, 0xf7, 0x8d, 0x77, 0xf2, 0xea, 0xdb, 0x60, 0x03, 0x21, 0xc0, 0xff, 0x5e, 0x67, 0xc3, 0x71, 0x0b, 0x21, 0xb4, 0x41, 0xa0, 0x68, 0x38, 0xc6, 0x01, 0xa3, 0xd3, 0x51, 0x3c, 0x3c}} ,
  {{0x92, 0xf8, 0xd6, 0x4b, 0xef, 0x42, 0x13, 0xb2, 0x4a, 0xc4, 0x2e, 0x72, 0x3f, 0xc9, 0x11, 0xbd, 0x74, 0x02, 0x0e, 0xf5, 0x13, 0x9d, 0x83, 0x1a, 0x1b, 0xd5, 0x54, 0xde, 0xc4, 0x1e, 0x16, 0x6c}}},
@@ -1471,7 +1471,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x7a, 0x8d, 0xa1, 0x5d, 0x70, 0x5d, 0x51, 0x27, 0xee, 0x30, 0x65, 0x56, 0x95, 0x46, 0xde, 0xbd, 0x03, 0x75, 0xb4, 0x57, 0x59, 0x89, 0xeb, 0x02, 0x9e, 0xcc, 0x89, 0x19, 0xa7, 0xcb, 0x17, 0x67}}},
 {{{0x6a, 0xeb, 0xfc, 0x9a, 0x9a, 0x10, 0xce, 0xdb, 0x3a, 0x1c, 0x3c, 0x6a, 0x9d, 0xea, 0x46, 0xbc, 0x45, 0x49, 0xac, 0xe3, 0x41, 0x12, 0x7c, 0xf0, 0xf7, 0x4f, 0xf9, 0xf7, 0xff, 0x2c, 0x89, 0x04}} ,
  {{0x30, 0x31, 0x54, 0x1a, 0x46, 0xca, 0xe6, 0xc6, 0xcb, 0xe2, 0xc3, 0xc1, 0x8b, 0x75, 0x81, 0xbe, 0xee, 0xf8, 0xa3, 0x11, 0x1c, 0x25, 0xa3, 0xa7, 0x35, 0x51, 0x55, 0xe2, 0x25, 0xaa, 0xe2, 0x3a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xb4, 0x48, 0x10, 0x9f, 0x8a, 0x09, 0x76, 0xfa, 0xf0, 0x7a, 0xb0, 0x70, 0xf7, 0x83, 0x80, 0x52, 0x84, 0x2b, 0x26, 0xa2, 0xc4, 0x5d, 0x4f, 0xba, 0xb1, 0xc8, 0x40, 0x0d, 0x78, 0x97, 0xc4, 0x60}} ,
  {{0xd4, 0xb1, 0x6c, 0x08, 0xc7, 0x40, 0x38, 0x73, 0x5f, 0x0b, 0xf3, 0x76, 0x5d, 0xb2, 0xa5, 0x2f, 0x57, 0x57, 0x07, 0xed, 0x08, 0xa2, 0x6c, 0x4f, 0x08, 0x02, 0xb5, 0x0e, 0xee, 0x44, 0xfa, 0x22}}},
@@ -1481,7 +1481,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xff, 0x76, 0x03, 0xc5, 0x4b, 0x89, 0x99, 0x70, 0x00, 0x59, 0x70, 0x9c, 0xd5, 0xd9, 0x11, 0x89, 0x5a, 0x46, 0xfe, 0xef, 0xdc, 0xd9, 0x55, 0x2b, 0x45, 0xa7, 0xb0, 0x2d, 0xfb, 0x24, 0xc2, 0x29}}},
 {{{0x38, 0x06, 0xf8, 0x0b, 0xac, 0x82, 0xc4, 0x97, 0x2b, 0x90, 0xe0, 0xf7, 0xa8, 0xab, 0x6c, 0x08, 0x80, 0x66, 0x90, 0x46, 0xf7, 0x26, 0x2d, 0xf8, 0xf1, 0xc4, 0x6b, 0x4a, 0x82, 0x98, 0x8e, 0x37}} ,
  {{0x8e, 0xb4, 0xee, 0xb8, 0xd4, 0x3f, 0xb2, 0x1b, 0xe0, 0x0a, 0x3d, 0x75, 0x34, 0x28, 0xa2, 0x8e, 0xc4, 0x92, 0x7b, 0xfe, 0x60, 0x6e, 0x6d, 0xb8, 0x31, 0x1d, 0x62, 0x0d, 0x78, 0x14, 0x42, 0x11}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x5e, 0xa8, 0xd8, 0x04, 0x9b, 0x73, 0xc9, 0xc9, 0xdc, 0x0d, 0x73, 0xbf, 0x0a, 0x0a, 0x73, 0xff, 0x18, 0x1f, 0x9c, 0x51, 0xaa, 0xc6, 0xf1, 0x83, 0x25, 0xfd, 0xab, 0xa3, 0x11, 0xd3, 0x01, 0x24}} ,
  {{0x4d, 0xe3, 0x7e, 0x38, 0x62, 0x5e, 0x64, 0xbb, 0x2b, 0x53, 0xb5, 0x03, 0x68, 0xc4, 0xf2, 0x2b, 0x5a, 0x03, 0x32, 0x99, 0x4a, 0x41, 0x9a, 0xe1, 0x1a, 0xae, 0x8c, 0x48, 0xf3, 0x24, 0x32, 0x65}}},
@@ -1491,7 +1491,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x7c, 0x31, 0x33, 0xcc, 0xe4, 0xcf, 0x6c, 0xff, 0x80, 0x47, 0x77, 0xd1, 0xd8, 0xe9, 0x69, 0x97, 0x98, 0x7f, 0x20, 0x57, 0x1d, 0x1d, 0x4f, 0x08, 0x27, 0xc8, 0x35, 0x57, 0x40, 0xc6, 0x21, 0x0c}}},
 {{{0xd2, 0x8e, 0x9b, 0xfa, 0x42, 0x8e, 0xdf, 0x8f, 0xc7, 0x86, 0xf9, 0xa4, 0xca, 0x70, 0x00, 0x9d, 0x21, 0xbf, 0xec, 0x57, 0x62, 0x30, 0x58, 0x8c, 0x0d, 0x35, 0xdb, 0x5d, 0x8b, 0x6a, 0xa0, 0x5a}} ,
  {{0xc1, 0x58, 0x7c, 0x0d, 0x20, 0xdd, 0x11, 0x26, 0x5f, 0x89, 0x3b, 0x97, 0x58, 0xf8, 0x8b, 0xe3, 0xdf, 0x32, 0xe2, 0xfc, 0xd8, 0x67, 0xf2, 0xa5, 0x37, 0x1e, 0x6d, 0xec, 0x7c, 0x27, 0x20, 0x79}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xd0, 0xe9, 0xc0, 0xfa, 0x95, 0x45, 0x23, 0x96, 0xf1, 0x2c, 0x79, 0x25, 0x14, 0xce, 0x40, 0x14, 0x44, 0x2c, 0x36, 0x50, 0xd9, 0x63, 0x56, 0xb7, 0x56, 0x3b, 0x9e, 0xa7, 0xef, 0x89, 0xbb, 0x0e}} ,
  {{0xce, 0x7f, 0xdc, 0x0a, 0xcc, 0x82, 0x1c, 0x0a, 0x78, 0x71, 0xe8, 0x74, 0x8d, 0x01, 0x30, 0x0f, 0xa7, 0x11, 0x4c, 0xdf, 0x38, 0xd7, 0xa7, 0x0d, 0xf8, 0x48, 0x52, 0x00, 0x80, 0x7b, 0x5f, 0x0e}}},
@@ -1501,7 +1501,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x50, 0x5b, 0xff, 0xa9, 0xb2, 0xf1, 0xf1, 0x78, 0xcf, 0x14, 0xa4, 0xa9, 0xfc, 0x09, 0x46, 0x94, 0x54, 0x65, 0x0d, 0x9c, 0x5f, 0x72, 0x21, 0xe2, 0x97, 0xa5, 0x2d, 0x81, 0xce, 0x4a, 0x5f, 0x79}}},
 {{{0x3d, 0x5f, 0x5c, 0xd2, 0xbc, 0x7d, 0x77, 0x0e, 0x2a, 0x6d, 0x22, 0x45, 0x84, 0x06, 0xc4, 0xdd, 0xc6, 0xa6, 0xc6, 0xd7, 0x49, 0xad, 0x6d, 0x87, 0x91, 0x0e, 0x3a, 0x67, 0x1d, 0x2c, 0x1d, 0x56}} ,
  {{0xfe, 0x7a, 0x74, 0xcf, 0xd4, 0xd2, 0xe5, 0x19, 0xde, 0xd0, 0xdb, 0x70, 0x23, 0x69, 0xe6, 0x6d, 0xec, 0xec, 0xcc, 0x09, 0x33, 0x6a, 0x77, 0xdc, 0x6b, 0x22, 0x76, 0x5d, 0x92, 0x09, 0xac, 0x2d}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x23, 0x15, 0x17, 0xeb, 0xd3, 0xdb, 0x12, 0x5e, 0x01, 0xf0, 0x91, 0xab, 0x2c, 0x41, 0xce, 0xac, 0xed, 0x1b, 0x4b, 0x2d, 0xbc, 0xdb, 0x17, 0x66, 0x89, 0x46, 0xad, 0x4b, 0x1e, 0x6f, 0x0b, 0x14}} ,
  {{0x11, 0xce, 0xbf, 0xb6, 0x77, 0x2d, 0x48, 0x22, 0x18, 0x4f, 0xa3, 0x5d, 0x4a, 0xb0, 0x70, 0x12, 0x3e, 0x54, 0xd7, 0xd8, 0x0e, 0x2b, 0x27, 0xdc, 0x53, 0xff, 0xca, 0x8c, 0x59, 0xb3, 0x4e, 0x44}}},
@@ -1511,7 +1511,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x0d, 0x16, 0xac, 0x3c, 0x4a, 0x58, 0x86, 0x3a, 0x46, 0x7f, 0x6c, 0xa3, 0x52, 0x6e, 0x37, 0xe4, 0x96, 0x9c, 0xe9, 0x5c, 0x66, 0x41, 0x67, 0xe4, 0xfb, 0x79, 0x0c, 0x05, 0xf6, 0x64, 0xd5, 0x7c}}},
 {{{0x28, 0xc1, 0xe1, 0x54, 0x73, 0xf2, 0xbf, 0x76, 0x74, 0x19, 0x19, 0x1b, 0xe4, 0xb9, 0xa8, 0x46, 0x65, 0x73, 0xf3, 0x77, 0x9b, 0x29, 0x74, 0x5b, 0xc6, 0x89, 0x6c, 0x2c, 0x7c, 0xf8, 0xb3, 0x0f}} ,
  {{0xf7, 0xd5, 0xe9, 0x74, 0x5d, 0xb8, 0x25, 0x16, 0xb5, 0x30, 0xbc, 0x84, 0xc5, 0xf0, 0xad, 0xca, 0x12, 0x28, 0xbc, 0x9d, 0xd4, 0xfa, 0x82, 0xe6, 0xe3, 0xbf, 0xa2, 0x15, 0x2c, 0xd4, 0x34, 0x10}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x61, 0xb1, 0x46, 0xba, 0x0e, 0x31, 0xa5, 0x67, 0x6c, 0x7f, 0xd6, 0xd9, 0x27, 0x85, 0x0f, 0x79, 0x14, 0xc8, 0x6c, 0x2f, 0x5f, 0x5b, 0x9c, 0x35, 0x3d, 0x38, 0x86, 0x77, 0x65, 0x55, 0x6a, 0x7b}} ,
  {{0xd3, 0xb0, 0x3a, 0x66, 0x60, 0x1b, 0x43, 0xf1, 0x26, 0x58, 0x99, 0x09, 0x8f, 0x2d, 0xa3, 0x14, 0x71, 0x85, 0xdb, 0xed, 0xf6, 0x26, 0xd5, 0x61, 0x9a, 0x73, 0xac, 0x0e, 0xea, 0xac, 0xb7, 0x0c}}},
@@ -1521,7 +1521,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xe8, 0xc1, 0xa9, 0xc2, 0x7b, 0x59, 0x21, 0x33, 0xe2, 0x43, 0x73, 0x2b, 0xac, 0x2d, 0xc1, 0x89, 0x3b, 0x15, 0xe2, 0xd5, 0xc0, 0x97, 0x8a, 0xfd, 0x6f, 0x36, 0x33, 0xb7, 0xb9, 0xc3, 0x88, 0x09}}},
 {{{0xd0, 0xb6, 0x56, 0x30, 0x5c, 0xae, 0xb3, 0x75, 0x44, 0xa4, 0x83, 0x51, 0x6e, 0x01, 0x65, 0xef, 0x45, 0x76, 0xe6, 0xf5, 0xa2, 0x0d, 0xd4, 0x16, 0x3b, 0x58, 0x2f, 0xf2, 0x2f, 0x36, 0x18, 0x3f}} ,
  {{0xfd, 0x2f, 0xe0, 0x9b, 0x1e, 0x8c, 0xc5, 0x18, 0xa9, 0xca, 0xd4, 0x2b, 0x35, 0xb6, 0x95, 0x0a, 0x9f, 0x7e, 0xfb, 0xc4, 0xef, 0x88, 0x7b, 0x23, 0x43, 0xec, 0x2f, 0x0d, 0x0f, 0x7a, 0xfc, 0x5c}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x8d, 0xd2, 0xda, 0xc7, 0x44, 0xd6, 0x7a, 0xdb, 0x26, 0x7d, 0x1d, 0xb8, 0xe1, 0xde, 0x9d, 0x7a, 0x7d, 0x17, 0x7e, 0x1c, 0x37, 0x04, 0x8d, 0x2d, 0x7c, 0x5e, 0x18, 0x38, 0x1e, 0xaf, 0xc7, 0x1b}} ,
  {{0x33, 0x48, 0x31, 0x00, 0x59, 0xf6, 0xf2, 0xca, 0x0f, 0x27, 0x1b, 0x63, 0x12, 0x7e, 0x02, 0x1d, 0x49, 0xc0, 0x5d, 0x79, 0x87, 0xef, 0x5e, 0x7a, 0x2f, 0x1f, 0x66, 0x55, 0xd8, 0x09, 0xd9, 0x61}}},
@@ -1531,7 +1531,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xa1, 0x4c, 0x70, 0x4b, 0x0e, 0xa0, 0x83, 0x70, 0x13, 0xa4, 0xaf, 0xb8, 0x38, 0x19, 0x22, 0x65, 0x09, 0xb4, 0x02, 0x4f, 0x06, 0xf8, 0x17, 0xce, 0x46, 0x45, 0xda, 0x50, 0x7c, 0x8a, 0xd1, 0x4e}}},
 {{{0xf7, 0xd4, 0x16, 0x6c, 0x4e, 0x95, 0x9d, 0x5d, 0x0f, 0x91, 0x2b, 0x52, 0xfe, 0x5c, 0x34, 0xe5, 0x30, 0xe6, 0xa4, 0x3b, 0xf3, 0xf3, 0x34, 0x08, 0xa9, 0x4a, 0xa0, 0xb5, 0x6e, 0xb3, 0x09, 0x0a}} ,
  {{0x26, 0xd9, 0x5e, 0xa3, 0x0f, 0xeb, 0xa2, 0xf3, 0x20, 0x3b, 0x37, 0xd4, 0xe4, 0x9e, 0xce, 0x06, 0x3d, 0x53, 0xed, 0xae, 0x2b, 0xeb, 0xb6, 0x24, 0x0a, 0x11, 0xa3, 0x0f, 0xd6, 0x7f, 0xa4, 0x3a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xdb, 0x9f, 0x2c, 0xfc, 0xd6, 0xb2, 0x1e, 0x2e, 0x52, 0x7a, 0x06, 0x87, 0x2d, 0x86, 0x72, 0x2b, 0x6d, 0x90, 0x77, 0x46, 0x43, 0xb5, 0x7a, 0xf8, 0x60, 0x7d, 0x91, 0x60, 0x5b, 0x9d, 0x9e, 0x07}} ,
  {{0x97, 0x87, 0xc7, 0x04, 0x1c, 0x38, 0x01, 0x39, 0x58, 0xc7, 0x85, 0xa3, 0xfc, 0x64, 0x00, 0x64, 0x25, 0xa2, 0xbf, 0x50, 0x94, 0xca, 0x26, 0x31, 0x45, 0x0a, 0x24, 0xd2, 0x51, 0x29, 0x51, 0x16}}},
@@ -1541,7 +1541,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x95, 0x21, 0x01, 0xce, 0x95, 0x5b, 0x0e, 0x57, 0xc7, 0xb9, 0x62, 0xb5, 0x28, 0xca, 0x11, 0xec, 0xb4, 0x46, 0x06, 0x73, 0x26, 0xff, 0xfb, 0x66, 0x7d, 0xee, 0x5f, 0xb2, 0x56, 0xfd, 0x2a, 0x08}}},
 {{{0x92, 0x67, 0x77, 0x56, 0xa1, 0xff, 0xc4, 0xc5, 0x95, 0xf0, 0xe3, 0x3a, 0x0a, 0xca, 0x94, 0x4d, 0x9e, 0x7e, 0x3d, 0xb9, 0x6e, 0xb6, 0xb0, 0xce, 0xa4, 0x30, 0x89, 0x99, 0xe9, 0xad, 0x11, 0x59}} ,
  {{0xf6, 0x48, 0x95, 0xa1, 0x6f, 0x5f, 0xb7, 0xa5, 0xbb, 0x30, 0x00, 0x1c, 0xd2, 0x8a, 0xd6, 0x25, 0x26, 0x1b, 0xb2, 0x0d, 0x37, 0x6a, 0x05, 0xf4, 0x9d, 0x3e, 0x17, 0x2a, 0x43, 0xd2, 0x3a, 0x06}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x32, 0x99, 0x93, 0xd1, 0x9a, 0x72, 0xf3, 0xa9, 0x16, 0xbd, 0xb4, 0x4c, 0xdd, 0xf9, 0xd4, 0xb2, 0x64, 0x9a, 0xd3, 0x05, 0xe4, 0xa3, 0x73, 0x1c, 0xcb, 0x7e, 0x57, 0x67, 0xff, 0x04, 0xb3, 0x10}} ,
  {{0xb9, 0x4b, 0xa4, 0xad, 0xd0, 0x6d, 0x61, 0x23, 0xb4, 0xaf, 0x34, 0xa9, 0xaa, 0x65, 0xec, 0xd9, 0x69, 0xe3, 0x85, 0xcd, 0xcc, 0xe7, 0xb0, 0x9b, 0x41, 0xc1, 0x1c, 0xf9, 0xa0, 0xfa, 0xb7, 0x13}}},
@@ -1551,7 +1551,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xfd, 0x4e, 0x2a, 0xc1, 0x3a, 0xca, 0x8f, 0x00, 0xd8, 0xec, 0x74, 0x67, 0xef, 0x61, 0xe0, 0x28, 0xd0, 0x96, 0xf4, 0x48, 0xde, 0x81, 0xe3, 0xef, 0xdc, 0xaa, 0x7d, 0xf3, 0xb6, 0x55, 0xa6, 0x65}}},
 {{{0xeb, 0xcb, 0xc5, 0x70, 0x91, 0x31, 0x10, 0x93, 0x0d, 0xc8, 0xd0, 0xef, 0x62, 0xe8, 0x6f, 0x82, 0xe3, 0x69, 0x3d, 0x91, 0x7f, 0x31, 0xe1, 0x26, 0x35, 0x3c, 0x4a, 0x2f, 0xab, 0xc4, 0x9a, 0x5e}} ,
  {{0xab, 0x1b, 0xb5, 0xe5, 0x2b, 0xc3, 0x0e, 0x29, 0xb0, 0xd0, 0x73, 0xe6, 0x4f, 0x64, 0xf2, 0xbc, 0xe4, 0xe4, 0xe1, 0x9a, 0x52, 0x33, 0x2f, 0xbd, 0xcc, 0x03, 0xee, 0x8a, 0xfa, 0x00, 0x5f, 0x50}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xf6, 0xdb, 0x0d, 0x22, 0x3d, 0xb5, 0x14, 0x75, 0x31, 0xf0, 0x81, 0xe2, 0xb9, 0x37, 0xa2, 0xa9, 0x84, 0x11, 0x9a, 0x07, 0xb5, 0x53, 0x89, 0x78, 0xa9, 0x30, 0x27, 0xa1, 0xf1, 0x4e, 0x5c, 0x2e}} ,
  {{0x8b, 0x00, 0x54, 0xfb, 0x4d, 0xdc, 0xcb, 0x17, 0x35, 0x40, 0xff, 0xb7, 0x8c, 0xfe, 0x4a, 0xe4, 0x4e, 0x99, 0x4e, 0xa8, 0x74, 0x54, 0x5d, 0x5c, 0x96, 0xa3, 0x12, 0x55, 0x36, 0x31, 0x17, 0x5c}}},
@@ -1561,7 +1561,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x8c, 0x44, 0x09, 0x28, 0xd5, 0x23, 0xc9, 0x8f, 0xf3, 0x84, 0x45, 0xc6, 0x9a, 0x5e, 0xff, 0xd2, 0xc7, 0x57, 0x93, 0xa3, 0xc1, 0x69, 0xdd, 0x62, 0x0f, 0xda, 0x5c, 0x30, 0x59, 0x5d, 0xe9, 0x4c}}},
 {{{0x92, 0x7e, 0x50, 0x27, 0x72, 0xd7, 0x0c, 0xd6, 0x69, 0x96, 0x81, 0x35, 0x84, 0x94, 0x35, 0x8b, 0x6c, 0xaa, 0x62, 0x86, 0x6e, 0x1c, 0x15, 0xf3, 0x6c, 0xb3, 0xff, 0x65, 0x1b, 0xa2, 0x9b, 0x59}} ,
  {{0xe2, 0xa9, 0x65, 0x88, 0xc4, 0x50, 0xfa, 0xbb, 0x3b, 0x6e, 0x5f, 0x44, 0x01, 0xca, 0x97, 0xd4, 0xdd, 0xf6, 0xcd, 0x3f, 0x3f, 0xe5, 0x97, 0x67, 0x2b, 0x8c, 0x66, 0x0f, 0x35, 0x9b, 0xf5, 0x07}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xf1, 0x59, 0x27, 0xd8, 0xdb, 0x5a, 0x11, 0x5e, 0x82, 0xf3, 0x38, 0xff, 0x1c, 0xed, 0xfe, 0x3f, 0x64, 0x54, 0x3f, 0x7f, 0xd1, 0x81, 0xed, 0xef, 0x65, 0xc5, 0xcb, 0xfd, 0xe1, 0x80, 0xcd, 0x11}} ,
  {{0xe0, 0xdb, 0x22, 0x28, 0xe6, 0xff, 0x61, 0x9d, 0x41, 0x14, 0x2d, 0x3b, 0x26, 0x22, 0xdf, 0xf1, 0x34, 0x81, 0xe9, 0x45, 0xee, 0x0f, 0x98, 0x8b, 0xa6, 0x3f, 0xef, 0xf7, 0x43, 0x19, 0xf1, 0x43}}},
@@ -1571,7 +1571,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x60, 0xbc, 0x45, 0x1f, 0x23, 0xa2, 0x3b, 0x70, 0x76, 0xe6, 0x97, 0x99, 0x4f, 0x77, 0x54, 0x67, 0x30, 0x9a, 0xe7, 0x66, 0xd6, 0xcd, 0x2e, 0x51, 0x24, 0x2c, 0x42, 0x4a, 0x11, 0xfe, 0x6f, 0x7e}}},
 {{{0x87, 0xc0, 0xb1, 0xf0, 0xa3, 0x6f, 0x0c, 0x93, 0xa9, 0x0a, 0x72, 0xef, 0x5c, 0xbe, 0x65, 0x35, 0xa7, 0x6a, 0x4e, 0x2c, 0xbf, 0x21, 0x23, 0xe8, 0x2f, 0x97, 0xc7, 0x3e, 0xc8, 0x17, 0xac, 0x1e}} ,
  {{0x7b, 0xef, 0x21, 0xe5, 0x40, 0xcc, 0x1e, 0xdc, 0xd6, 0xbd, 0x97, 0x7a, 0x7c, 0x75, 0x86, 0x7a, 0x25, 0x5a, 0x6e, 0x7c, 0xe5, 0x51, 0x3c, 0x1b, 0x5b, 0x82, 0x9a, 0x07, 0x60, 0xa1, 0x19, 0x04}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x96, 0x88, 0xa6, 0xab, 0x8f, 0xe3, 0x3a, 0x49, 0xf8, 0xfe, 0x34, 0xe7, 0x6a, 0xb2, 0xfe, 0x40, 0x26, 0x74, 0x57, 0x4c, 0xf6, 0xd4, 0x99, 0xce, 0x5d, 0x7b, 0x2f, 0x67, 0xd6, 0x5a, 0xe4, 0x4e}} ,
  {{0x5c, 0x82, 0xb3, 0xbd, 0x55, 0x25, 0xf6, 0x6a, 0x93, 0xa4, 0x02, 0xc6, 0x7d, 0x5c, 0xb1, 0x2b, 0x5b, 0xff, 0xfb, 0x56, 0xf8, 0x01, 0x41, 0x90, 0xc6, 0xb6, 0xac, 0x4f, 0xfe, 0xa7, 0x41, 0x70}}},
@@ -1581,7 +1581,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x17, 0x0f, 0x86, 0x52, 0xd7, 0x9d, 0xc3, 0x44, 0x51, 0x76, 0x32, 0x65, 0xb4, 0x37, 0x81, 0x99, 0x46, 0x37, 0x62, 0xed, 0xcf, 0x64, 0x9d, 0x72, 0x40, 0x7a, 0x4c, 0x0b, 0x76, 0x2a, 0xfb, 0x56}}},
 {{{0x33, 0xa7, 0x90, 0x7c, 0xc3, 0x6f, 0x17, 0xa5, 0xa0, 0x67, 0x72, 0x17, 0xea, 0x7e, 0x63, 0x14, 0x83, 0xde, 0xc1, 0x71, 0x2d, 0x41, 0x32, 0x7a, 0xf3, 0xd1, 0x2b, 0xd8, 0x2a, 0xa6, 0x46, 0x36}} ,
  {{0xac, 0xcc, 0x6b, 0x7c, 0xf9, 0xb8, 0x8b, 0x08, 0x5c, 0xd0, 0x7d, 0x8f, 0x73, 0xea, 0x20, 0xda, 0x86, 0xca, 0x00, 0xc7, 0xad, 0x73, 0x4d, 0xe9, 0xe8, 0xa9, 0xda, 0x1f, 0x03, 0x06, 0xdd, 0x24}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x9c, 0xb2, 0x61, 0x0a, 0x98, 0x2a, 0xa5, 0xd7, 0xee, 0xa9, 0xac, 0x65, 0xcb, 0x0a, 0x1e, 0xe2, 0xbe, 0xdc, 0x85, 0x59, 0x0f, 0x9c, 0xa6, 0x57, 0x34, 0xa5, 0x87, 0xeb, 0x7b, 0x1e, 0x0c, 0x3c}} ,
  {{0x2f, 0xbd, 0x84, 0x63, 0x0d, 0xb5, 0xa0, 0xf0, 0x4b, 0x9e, 0x93, 0xc6, 0x34, 0x9a, 0x34, 0xff, 0x73, 0x19, 0x2f, 0x6e, 0x54, 0x45, 0x2c, 0x92, 0x31, 0x76, 0x34, 0xf1, 0xb2, 0x26, 0xe8, 0x74}}},
@@ -1591,7 +1591,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x87, 0xc8, 0xa0, 0x6e, 0xe1, 0xb0, 0xad, 0x6a, 0x4a, 0x34, 0x71, 0xed, 0x7c, 0xd6, 0x44, 0x03, 0x65, 0x4a, 0x5c, 0x5c, 0x04, 0xf5, 0x24, 0x3f, 0xb0, 0x16, 0x5e, 0x8c, 0xb2, 0xd2, 0xc5, 0x20}}},
 {{{0x98, 0x83, 0xc2, 0x37, 0xa0, 0x41, 0xa8, 0x48, 0x5c, 0x5f, 0xbf, 0xc8, 0xfa, 0x24, 0xe0, 0x59, 0x2c, 0xbd, 0xf6, 0x81, 0x7e, 0x88, 0xe6, 0xca, 0x04, 0xd8, 0x5d, 0x60, 0xbb, 0x74, 0xa7, 0x0b}} ,
  {{0x21, 0x13, 0x91, 0xbf, 0x77, 0x7a, 0x33, 0xbc, 0xe9, 0x07, 0x39, 0x0a, 0xdd, 0x7d, 0x06, 0x10, 0x9a, 0xee, 0x47, 0x73, 0x1b, 0x15, 0x5a, 0xfb, 0xcd, 0x4d, 0xd0, 0xd2, 0x3a, 0x01, 0xba, 0x54}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x48, 0xd5, 0x39, 0x4a, 0x0b, 0x20, 0x6a, 0x43, 0xa0, 0x07, 0x82, 0x5e, 0x49, 0x7c, 0xc9, 0x47, 0xf1, 0x7c, 0x37, 0xb9, 0x23, 0xef, 0x6b, 0x46, 0x45, 0x8c, 0x45, 0x76, 0xdf, 0x14, 0x6b, 0x6e}} ,
  {{0x42, 0xc9, 0xca, 0x29, 0x4c, 0x76, 0x37, 0xda, 0x8a, 0x2d, 0x7c, 0x3a, 0x58, 0xf2, 0x03, 0xb4, 0xb5, 0xb9, 0x1a, 0x13, 0x2d, 0xde, 0x5f, 0x6b, 0x9d, 0xba, 0x52, 0xc9, 0x5d, 0xb3, 0xf3, 0x30}}},
@@ -1601,7 +1601,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xe4, 0xe7, 0x43, 0x4b, 0xa0, 0x3f, 0x2b, 0x06, 0xba, 0x17, 0xae, 0x3d, 0xe6, 0xce, 0xbd, 0xb8, 0xed, 0x74, 0x11, 0x35, 0xec, 0x96, 0xfe, 0x31, 0xe3, 0x0e, 0x7a, 0x4e, 0xc9, 0x1d, 0xcb, 0x20}}},
 {{{0xe0, 0x67, 0xe9, 0x7b, 0xdb, 0x96, 0x5c, 0xb0, 0x32, 0xd0, 0x59, 0x31, 0x90, 0xdc, 0x92, 0x97, 0xac, 0x09, 0x38, 0x31, 0x0f, 0x7e, 0xd6, 0x5d, 0xd0, 0x06, 0xb6, 0x1f, 0xea, 0xf0, 0x5b, 0x07}} ,
  {{0x81, 0x9f, 0xc7, 0xde, 0x6b, 0x41, 0x22, 0x35, 0x14, 0x67, 0x77, 0x3e, 0x90, 0x81, 0xb0, 0xd9, 0x85, 0x4c, 0xca, 0x9b, 0x3f, 0x04, 0x59, 0xd6, 0xaa, 0x17, 0xc3, 0x88, 0x34, 0x37, 0xba, 0x43}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x4c, 0xb6, 0x69, 0xc8, 0x81, 0x95, 0x94, 0x33, 0x92, 0x34, 0xe9, 0x3c, 0x84, 0x0d, 0x3d, 0x5a, 0x37, 0x9c, 0x22, 0xa0, 0xaa, 0x65, 0xce, 0xb4, 0xc2, 0x2d, 0x66, 0x67, 0x02, 0xff, 0x74, 0x10}} ,
  {{0x22, 0xb0, 0xd5, 0xe6, 0xc7, 0xef, 0xb1, 0xa7, 0x13, 0xda, 0x60, 0xb4, 0x80, 0xc1, 0x42, 0x7d, 0x10, 0x70, 0x97, 0x04, 0x4d, 0xda, 0x23, 0x89, 0xc2, 0x0e, 0x68, 0xcb, 0xde, 0xe0, 0x9b, 0x29}}},
@@ -1611,7 +1611,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xa0, 0x20, 0x99, 0x69, 0x0a, 0xae, 0xa3, 0x70, 0x4e, 0x64, 0x80, 0xb7, 0x85, 0x9c, 0x87, 0x54, 0x43, 0x43, 0x55, 0x80, 0x6d, 0x8d, 0x7c, 0xa9, 0x64, 0xca, 0x6c, 0x2e, 0x21, 0xd8, 0xc8, 0x6c}}},
 {{{0x91, 0x4a, 0x07, 0xad, 0x08, 0x75, 0xc1, 0x4f, 0xa4, 0xb2, 0xc3, 0x6f, 0x46, 0x3e, 0xb1, 0xce, 0x52, 0xab, 0x67, 0x09, 0x54, 0x48, 0x6b, 0x6c, 0xd7, 0x1d, 0x71, 0x76, 0xcb, 0xff, 0xdd, 0x31}} ,
  {{0x36, 0x88, 0xfa, 0xfd, 0xf0, 0x36, 0x6f, 0x07, 0x74, 0x88, 0x50, 0xd0, 0x95, 0x38, 0x4a, 0x48, 0x2e, 0x07, 0x64, 0x97, 0x11, 0x76, 0x01, 0x1a, 0x27, 0x4d, 0x8e, 0x25, 0x9a, 0x9b, 0x1c, 0x22}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xbe, 0x57, 0xbd, 0x0e, 0x0f, 0xac, 0x5e, 0x76, 0xa3, 0x71, 0xad, 0x2b, 0x10, 0x45, 0x02, 0xec, 0x59, 0xd5, 0x5d, 0xa9, 0x44, 0xcc, 0x25, 0x4c, 0xb3, 0x3c, 0x5b, 0x69, 0x07, 0x55, 0x26, 0x6b}} ,
  {{0x30, 0x6b, 0xd4, 0xa7, 0x51, 0x29, 0xe3, 0xf9, 0x7a, 0x75, 0x2a, 0x82, 0x2f, 0xd6, 0x1d, 0x99, 0x2b, 0x80, 0xd5, 0x67, 0x1e, 0x15, 0x9d, 0xca, 0xfd, 0xeb, 0xac, 0x97, 0x35, 0x09, 0x7f, 0x3f}}},
@@ -1621,7 +1621,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xad, 0xa0, 0x41, 0xec, 0xc8, 0x4d, 0xb9, 0xd2, 0x6e, 0x96, 0x4e, 0x5b, 0xc5, 0xc2, 0xa0, 0x1b, 0xcf, 0x0c, 0xbf, 0x17, 0x66, 0x57, 0xc1, 0x17, 0x90, 0x45, 0x71, 0xc2, 0xe1, 0x24, 0xeb, 0x27}}},
 {{{0x2c, 0xb9, 0x42, 0xa4, 0xaf, 0x3b, 0x42, 0x0e, 0xc2, 0x0f, 0xf2, 0xea, 0x83, 0xaf, 0x9a, 0x13, 0x17, 0xb0, 0xbd, 0x89, 0x17, 0xe3, 0x72, 0xcb, 0x0e, 0x76, 0x7e, 0x41, 0x63, 0x04, 0x88, 0x71}} ,
  {{0x75, 0x78, 0x38, 0x86, 0x57, 0xdd, 0x9f, 0xee, 0x54, 0x70, 0x65, 0xbf, 0xf1, 0x2c, 0xe0, 0x39, 0x0d, 0xe3, 0x89, 0xfd, 0x8e, 0x93, 0x4f, 0x43, 0xdc, 0xd5, 0x5b, 0xde, 0xf9, 0x98, 0xe5, 0x7b}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xe7, 0x3b, 0x65, 0x11, 0xdf, 0xb2, 0xf2, 0x63, 0x94, 0x12, 0x6f, 0x5c, 0x9e, 0x77, 0xc1, 0xb6, 0xd8, 0xab, 0x58, 0x7a, 0x1d, 0x95, 0x73, 0xdd, 0xe7, 0xe3, 0x6f, 0xf2, 0x03, 0x1d, 0xdb, 0x76}} ,
  {{0xae, 0x06, 0x4e, 0x2c, 0x52, 0x1b, 0xbc, 0x5a, 0x5a, 0xa5, 0xbe, 0x27, 0xbd, 0xeb, 0xe1, 0x14, 0x17, 0x68, 0x26, 0x07, 0x03, 0xd1, 0x18, 0x0b, 0xdf, 0xf1, 0x06, 0x5c, 0xa6, 0x1b, 0xb9, 0x24}}},
@@ -1631,7 +1631,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x8d, 0xbd, 0xa3, 0xc4, 0x06, 0x9b, 0x1f, 0x90, 0x58, 0x60, 0x74, 0xb2, 0x00, 0x3b, 0x3c, 0xd2, 0xda, 0x82, 0xbb, 0x10, 0x90, 0x69, 0x92, 0xa9, 0xb4, 0x30, 0x81, 0xe3, 0x7c, 0xa8, 0x89, 0x45}}},
 {{{0x3f, 0xdc, 0x05, 0xcb, 0x41, 0x3c, 0xc8, 0x23, 0x04, 0x2c, 0x38, 0x99, 0xe3, 0x68, 0x55, 0xf9, 0xd3, 0x32, 0xc7, 0xbf, 0xfa, 0xd4, 0x1b, 0x5d, 0xde, 0xdc, 0x10, 0x42, 0xc0, 0x42, 0xd9, 0x75}} ,
  {{0x2d, 0xab, 0x35, 0x4e, 0x87, 0xc4, 0x65, 0x97, 0x67, 0x24, 0xa4, 0x47, 0xad, 0x3f, 0x8e, 0xf3, 0xcb, 0x31, 0x17, 0x77, 0xc5, 0xe2, 0xd7, 0x8f, 0x3c, 0xc1, 0xcd, 0x56, 0x48, 0xc1, 0x6c, 0x69}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x14, 0xae, 0x5f, 0x88, 0x7b, 0xa5, 0x90, 0xdf, 0x10, 0xb2, 0x8b, 0x5e, 0x24, 0x17, 0xc3, 0xa3, 0xd4, 0x0f, 0x92, 0x61, 0x1a, 0x19, 0x5a, 0xad, 0x76, 0xbd, 0xd8, 0x1c, 0xdd, 0xe0, 0x12, 0x6d}} ,
  {{0x8e, 0xbd, 0x70, 0x8f, 0x02, 0xa3, 0x24, 0x4d, 0x5a, 0x67, 0xc4, 0xda, 0xf7, 0x20, 0x0f, 0x81, 0x5b, 0x7a, 0x05, 0x24, 0x67, 0x83, 0x0b, 0x2a, 0x80, 0xe7, 0xfd, 0x74, 0x4b, 0x9e, 0x5c, 0x0d}}},
@@ -1641,7 +1641,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x97, 0x29, 0x6c, 0xc4, 0x42, 0x0b, 0xdd, 0xc0, 0x29, 0x5c, 0x9b, 0x34, 0x97, 0xd0, 0xc7, 0x79, 0x80, 0x63, 0x74, 0xe4, 0x8e, 0x37, 0xb0, 0x2b, 0x7c, 0xe8, 0x68, 0x6c, 0xc3, 0x82, 0x97, 0x57}}},
 {{{0x22, 0xbe, 0x83, 0xb6, 0x4b, 0x80, 0x6b, 0x43, 0x24, 0x5e, 0xef, 0x99, 0x9b, 0xa8, 0xfc, 0x25, 0x8d, 0x3b, 0x03, 0x94, 0x2b, 0x3e, 0xe7, 0x95, 0x76, 0x9b, 0xcc, 0x15, 0xdb, 0x32, 0xe6, 0x66}} ,
  {{0x84, 0xf0, 0x4a, 0x13, 0xa6, 0xd6, 0xfa, 0x93, 0x46, 0x07, 0xf6, 0x7e, 0x5c, 0x6d, 0x5e, 0xf6, 0xa6, 0xe7, 0x48, 0xf0, 0x06, 0xea, 0xff, 0x90, 0xc1, 0xcc, 0x4c, 0x19, 0x9c, 0x3c, 0x4e, 0x53}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x2a, 0x50, 0xe3, 0x07, 0x15, 0x59, 0xf2, 0x8b, 0x81, 0xf2, 0xf3, 0xd3, 0x6c, 0x99, 0x8c, 0x70, 0x67, 0xec, 0xcc, 0xee, 0x9e, 0x59, 0x45, 0x59, 0x7d, 0x47, 0x75, 0x69, 0xf5, 0x24, 0x93, 0x5d}} ,
  {{0x6a, 0x4f, 0x1b, 0xbe, 0x6b, 0x30, 0xcf, 0x75, 0x46, 0xe3, 0x7b, 0x9d, 0xfc, 0xcd, 0xd8, 0x5c, 0x1f, 0xb4, 0xc8, 0xe2, 0x24, 0xec, 0x1a, 0x28, 0x05, 0x32, 0x57, 0xfd, 0x3c, 0x5a, 0x98, 0x10}}},
@@ -1651,7 +1651,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x9b, 0x35, 0xe2, 0xa9, 0x3d, 0x32, 0x1e, 0xbb, 0x16, 0x28, 0x70, 0xe9, 0x45, 0x2f, 0x8f, 0x70, 0x7f, 0x08, 0x7e, 0x53, 0xc4, 0x7a, 0xbf, 0xf7, 0xe1, 0xa4, 0x6a, 0xd8, 0xac, 0x64, 0x1b, 0x11}}},
 {{{0xb2, 0xeb, 0x47, 0x46, 0x18, 0x3e, 0x1f, 0x99, 0x0c, 0xcc, 0xf1, 0x2c, 0xe0, 0xe7, 0x8f, 0xe0, 0x01, 0x7e, 0x65, 0xb8, 0x0c, 0xd0, 0xfb, 0xc8, 0xb9, 0x90, 0x98, 0x33, 0x61, 0x3b, 0xd8, 0x27}} ,
  {{0xa0, 0xbe, 0x72, 0x3a, 0x50, 0x4b, 0x74, 0xab, 0x01, 0xc8, 0x93, 0xc5, 0xe4, 0xc7, 0x08, 0x6c, 0xb4, 0xca, 0xee, 0xeb, 0x8e, 0xd7, 0x4e, 0x26, 0xc6, 0x1d, 0xe2, 0x71, 0xaf, 0x89, 0xa0, 0x2a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x98, 0x0b, 0xe4, 0xde, 0xdb, 0xa8, 0xfa, 0x82, 0x74, 0x06, 0x52, 0x6d, 0x08, 0x52, 0x8a, 0xff, 0x62, 0xc5, 0x6a, 0x44, 0x0f, 0x51, 0x8c, 0x1f, 0x6e, 0xb6, 0xc6, 0x2c, 0x81, 0xd3, 0x76, 0x46}} ,
  {{0xf4, 0x29, 0x74, 0x2e, 0x80, 0xa7, 0x1a, 0x8f, 0xf6, 0xbd, 0xd6, 0x8e, 0xbf, 0xc1, 0x95, 0x2a, 0xeb, 0xa0, 0x7f, 0x45, 0xa0, 0x50, 0x14, 0x05, 0xb1, 0x57, 0x4c, 0x74, 0xb7, 0xe2, 0x89, 0x7d}}},
@@ -1661,7 +1661,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x29, 0xd8, 0xf2, 0xaa, 0xe9, 0x0e, 0xf7, 0x2e, 0x5f, 0x9d, 0x8a, 0x5b, 0x09, 0xed, 0xc9, 0x24, 0x22, 0xf4, 0x0f, 0x25, 0x8f, 0x1c, 0x84, 0x6e, 0x34, 0x14, 0x6c, 0xea, 0xb3, 0x86, 0x5d, 0x04}}},
 {{{0x07, 0x98, 0x61, 0xe8, 0x6a, 0xd2, 0x81, 0x49, 0x25, 0xd5, 0x5b, 0x18, 0xc7, 0x35, 0x52, 0x51, 0xa4, 0x46, 0xad, 0x18, 0x0d, 0xc9, 0x5f, 0x18, 0x91, 0x3b, 0xb4, 0xc0, 0x60, 0x59, 0x8d, 0x66}} ,
  {{0x03, 0x1b, 0x79, 0x53, 0x6e, 0x24, 0xae, 0x57, 0xd9, 0x58, 0x09, 0x85, 0x48, 0xa2, 0xd3, 0xb5, 0xe2, 0x4d, 0x11, 0x82, 0xe6, 0x86, 0x3c, 0xe9, 0xb1, 0x00, 0x19, 0xc2, 0x57, 0xf7, 0x66, 0x7a}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x0f, 0xe3, 0x89, 0x03, 0xd7, 0x22, 0x95, 0x9f, 0xca, 0xb4, 0x8d, 0x9e, 0x6d, 0x97, 0xff, 0x8d, 0x21, 0x59, 0x07, 0xef, 0x03, 0x2d, 0x5e, 0xf8, 0x44, 0x46, 0xe7, 0x85, 0x80, 0xc5, 0x89, 0x50}} ,
  {{0x8b, 0xd8, 0x53, 0x86, 0x24, 0x86, 0x29, 0x52, 0x01, 0xfa, 0x20, 0xc3, 0x4e, 0x95, 0xcb, 0xad, 0x7b, 0x34, 0x94, 0x30, 0xb7, 0x7a, 0xfa, 0x96, 0x41, 0x60, 0x2b, 0xcb, 0x59, 0xb9, 0xca, 0x50}}},
@@ -1671,7 +1671,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x19, 0xf9, 0x35, 0xaa, 0x59, 0x1a, 0x0c, 0x5c, 0x06, 0xfc, 0x6a, 0x0b, 0x97, 0x53, 0x36, 0xfc, 0x2a, 0xa5, 0x5a, 0x9b, 0x30, 0xef, 0x23, 0xaf, 0x39, 0x5d, 0x9a, 0x6b, 0x75, 0x57, 0x48, 0x0b}}},
 {{{0x26, 0xdc, 0x76, 0x3b, 0xfc, 0xf9, 0x9c, 0x3f, 0x89, 0x0b, 0x62, 0x53, 0xaf, 0x83, 0x01, 0x2e, 0xbc, 0x6a, 0xc6, 0x03, 0x0d, 0x75, 0x2a, 0x0d, 0xe6, 0x94, 0x54, 0xcf, 0xb3, 0xe5, 0x96, 0x25}} ,
  {{0xfe, 0x82, 0xb1, 0x74, 0x31, 0x8a, 0xa7, 0x6f, 0x56, 0xbd, 0x8d, 0xf4, 0xe0, 0x94, 0x51, 0x59, 0xde, 0x2c, 0x5a, 0xf4, 0x84, 0x6b, 0x4a, 0x88, 0x93, 0xc0, 0x0c, 0x9a, 0xac, 0xa7, 0xa0, 0x68}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x25, 0x0d, 0xd6, 0xc7, 0x23, 0x47, 0x10, 0xad, 0xc7, 0x08, 0x5c, 0x87, 0x87, 0x93, 0x98, 0x18, 0xb8, 0xd3, 0x9c, 0xac, 0x5a, 0x3d, 0xc5, 0x75, 0xf8, 0x49, 0x32, 0x14, 0xcc, 0x51, 0x96, 0x24}} ,
  {{0x65, 0x9c, 0x5d, 0xf0, 0x37, 0x04, 0xf0, 0x34, 0x69, 0x2a, 0xf0, 0xa5, 0x64, 0xca, 0xde, 0x2b, 0x5b, 0x15, 0x10, 0xd2, 0xab, 0x06, 0xdd, 0xc4, 0xb0, 0xb6, 0x5b, 0xc1, 0x17, 0xdf, 0x8f, 0x02}}},
@@ -1681,7 +1681,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x00, 0xa9, 0x4c, 0xb2, 0x12, 0xf8, 0x32, 0xa8, 0x7a, 0x00, 0x4b, 0x49, 0x32, 0xba, 0x1f, 0x5d, 0x44, 0x8e, 0x44, 0x7a, 0xdc, 0x11, 0xfb, 0x39, 0x08, 0x57, 0x87, 0xa5, 0x12, 0x42, 0x93, 0x0e}}},
 {{{0x17, 0xb4, 0xae, 0x72, 0x59, 0xd0, 0xaa, 0xa8, 0x16, 0x8b, 0x63, 0x11, 0xb3, 0x43, 0x04, 0xda, 0x0c, 0xa8, 0xb7, 0x68, 0xdd, 0x4e, 0x54, 0xe7, 0xaf, 0x5d, 0x5d, 0x05, 0x76, 0x36, 0xec, 0x0d}} ,
  {{0x6d, 0x7c, 0x82, 0x32, 0x38, 0x55, 0x57, 0x74, 0x5b, 0x7d, 0xc3, 0xc4, 0xfb, 0x06, 0x29, 0xf0, 0x13, 0x55, 0x54, 0xc6, 0xa7, 0xdc, 0x4c, 0x9f, 0x98, 0x49, 0x20, 0xa8, 0xc3, 0x8d, 0xfa, 0x48}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x87, 0x47, 0x9d, 0xe9, 0x25, 0xd5, 0xe3, 0x47, 0x78, 0xdf, 0x85, 0xa7, 0x85, 0x5e, 0x7a, 0x4c, 0x5f, 0x79, 0x1a, 0xf3, 0xa2, 0xb2, 0x28, 0xa0, 0x9c, 0xdd, 0x30, 0x40, 0xd4, 0x38, 0xbd, 0x28}} ,
  {{0xfc, 0xbb, 0xd5, 0x78, 0x6d, 0x1d, 0xd4, 0x99, 0xb4, 0xaa, 0x44, 0x44, 0x7a, 0x1b, 0xd8, 0xfe, 0xb4, 0x99, 0xb9, 0xcc, 0xe7, 0xc4, 0xd3, 0x3a, 0x73, 0x83, 0x41, 0x5c, 0x40, 0xd7, 0x2d, 0x55}}},
@@ -1691,7 +1691,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xc0, 0x61, 0x48, 0x48, 0x17, 0xf4, 0x9e, 0x18, 0x51, 0x2d, 0xea, 0x2f, 0xf2, 0xf2, 0xe0, 0xa3, 0x14, 0xb7, 0x8b, 0x3a, 0x30, 0xf5, 0x81, 0xc1, 0x5d, 0x71, 0x39, 0x62, 0x55, 0x1f, 0x60, 0x5a}}},
 {{{0xe5, 0x89, 0x8a, 0x76, 0x6c, 0xdb, 0x4d, 0x0a, 0x5b, 0x72, 0x9d, 0x59, 0x6e, 0x63, 0x63, 0x18, 0x7c, 0xe3, 0xfa, 0xe2, 0xdb, 0xa1, 0x8d, 0xf4, 0xa5, 0xd7, 0x16, 0xb2, 0xd0, 0xb3, 0x3f, 0x39}} ,
  {{0xce, 0x60, 0x09, 0x6c, 0xf5, 0x76, 0x17, 0x24, 0x80, 0x3a, 0x96, 0xc7, 0x94, 0x2e, 0xf7, 0x6b, 0xef, 0xb5, 0x05, 0x96, 0xef, 0xd3, 0x7b, 0x51, 0xda, 0x05, 0x44, 0x67, 0xbc, 0x07, 0x21, 0x4e}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xe9, 0x73, 0x6f, 0x21, 0xb9, 0xde, 0x22, 0x7d, 0xeb, 0x97, 0x31, 0x10, 0xa3, 0xea, 0xe1, 0xc6, 0x37, 0xeb, 0x8f, 0x43, 0x58, 0xde, 0x41, 0x64, 0x0e, 0x3e, 0x07, 0x99, 0x3d, 0xf1, 0xdf, 0x1e}} ,
  {{0xf8, 0xad, 0x43, 0xc2, 0x17, 0x06, 0xe2, 0xe4, 0xa9, 0x86, 0xcd, 0x18, 0xd7, 0x78, 0xc8, 0x74, 0x66, 0xd2, 0x09, 0x18, 0xa5, 0xf1, 0xca, 0xa6, 0x62, 0x92, 0xc1, 0xcb, 0x00, 0xeb, 0x42, 0x2e}}},
@@ -1701,7 +1701,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xa3, 0x64, 0x17, 0x9b, 0x8b, 0xc8, 0x3a, 0x61, 0xe6, 0x9d, 0xc6, 0xed, 0x7b, 0x03, 0x52, 0x26, 0x9d, 0x3a, 0xb3, 0x13, 0xcc, 0x8a, 0xfd, 0x2c, 0x1a, 0x1d, 0xed, 0x13, 0xd0, 0x55, 0x57, 0x0e}}},
 {{{0x1a, 0xea, 0xbf, 0xfd, 0x4a, 0x3c, 0x8e, 0xec, 0x29, 0x7e, 0x77, 0x77, 0x12, 0x99, 0xd7, 0x84, 0xf9, 0x55, 0x7f, 0xf1, 0x8b, 0xb4, 0xd2, 0x95, 0xa3, 0x8d, 0xf0, 0x8a, 0xa7, 0xeb, 0x82, 0x4b}} ,
  {{0x2c, 0x28, 0xf4, 0x3a, 0xf6, 0xde, 0x0a, 0xe0, 0x41, 0x44, 0x23, 0xf8, 0x3f, 0x03, 0x64, 0x9f, 0xc3, 0x55, 0x4c, 0xc6, 0xc1, 0x94, 0x1c, 0x24, 0x5d, 0x5f, 0x92, 0x45, 0x96, 0x57, 0x37, 0x14}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xc1, 0xcd, 0x90, 0x66, 0xb9, 0x76, 0xa0, 0x5b, 0xa5, 0x85, 0x75, 0x23, 0xf9, 0x89, 0xa5, 0x82, 0xb2, 0x6f, 0xb1, 0xeb, 0xc4, 0x69, 0x6f, 0x18, 0x5a, 0xed, 0x94, 0x3d, 0x9d, 0xd9, 0x2c, 0x1a}} ,
  {{0x35, 0xb0, 0xe6, 0x73, 0x06, 0xb7, 0x37, 0xe0, 0xf8, 0xb0, 0x22, 0xe8, 0xd2, 0xed, 0x0b, 0xef, 0xe6, 0xc6, 0x5a, 0x99, 0x9e, 0x1a, 0x9f, 0x04, 0x97, 0xe4, 0x4d, 0x0b, 0xbe, 0xba, 0x44, 0x40}}},
@@ -1711,7 +1711,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0xa7, 0xbb, 0xf6, 0x8e, 0xad, 0xdd, 0xf7, 0x90, 0xdd, 0x5f, 0x93, 0x89, 0xae, 0x04, 0x37, 0xe6, 0x9a, 0xb7, 0xe8, 0xc0, 0xdf, 0x16, 0x2a, 0xbf, 0xc4, 0x3a, 0x3c, 0x41, 0xd5, 0x89, 0x72, 0x5a}}},
 {{{0x1f, 0x96, 0xff, 0x34, 0x2c, 0x13, 0x21, 0xcb, 0x0a, 0x89, 0x85, 0xbe, 0xb3, 0x70, 0x9e, 0x1e, 0xde, 0x97, 0xaf, 0x96, 0x30, 0xf7, 0x48, 0x89, 0x40, 0x8d, 0x07, 0xf1, 0x25, 0xf0, 0x30, 0x58}} ,
  {{0x1e, 0xd4, 0x93, 0x57, 0xe2, 0x17, 0xe7, 0x9d, 0xab, 0x3c, 0x55, 0x03, 0x82, 0x2f, 0x2b, 0xdb, 0x56, 0x1e, 0x30, 0x2e, 0x24, 0x47, 0x6e, 0xe6, 0xff, 0x33, 0x24, 0x2c, 0x75, 0x51, 0xd4, 0x67}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0x2b, 0x06, 0xd9, 0xa1, 0x5d, 0xe1, 0xf4, 0xd1, 0x1e, 0x3c, 0x9a, 0xc6, 0x29, 0x2b, 0x13, 0x13, 0x78, 0xc0, 0xd8, 0x16, 0x17, 0x2d, 0x9e, 0xa9, 0xc9, 0x79, 0x57, 0xab, 0x24, 0x91, 0x92, 0x19}} ,
  {{0x69, 0xfb, 0xa1, 0x9c, 0xa6, 0x75, 0x49, 0x7d, 0x60, 0x73, 0x40, 0x42, 0xc4, 0x13, 0x0a, 0x95, 0x79, 0x1e, 0x04, 0x83, 0x94, 0x99, 0x9b, 0x1e, 0x0c, 0xe8, 0x1f, 0x54, 0xef, 0xcb, 0xc0, 0x52}}},
@@ -1721,7 +1721,7 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x9d, 0x45, 0xd6, 0x80, 0xe6, 0x45, 0xaa, 0xf4, 0x15, 0xaa, 0x5c, 0x34, 0x87, 0x99, 0xa2, 0x8c, 0x26, 0x84, 0x62, 0x7d, 0xb6, 0x29, 0xc0, 0x52, 0xea, 0xf5, 0x81, 0x18, 0x0f, 0x35, 0xa9, 0x0e}}},
 {{{0xe7, 0x20, 0x72, 0x7c, 0x6d, 0x94, 0x5f, 0x52, 0x44, 0x54, 0xe3, 0xf1, 0xb2, 0xb0, 0x36, 0x46, 0x0f, 0xae, 0x92, 0xe8, 0x70, 0x9d, 0x6e, 0x79, 0xb1, 0xad, 0x37, 0xa9, 0x5f, 0xc0, 0xde, 0x03}} ,
  {{0x15, 0x55, 0x37, 0xc6, 0x1c, 0x27, 0x1c, 0x6d, 0x14, 0x4f, 0xca, 0xa4, 0xc4, 0x88, 0x25, 0x46, 0x39, 0xfc, 0x5a, 0xe5, 0xfe, 0x29, 0x11, 0x69, 0xf5, 0x72, 0x84, 0x4d, 0x78, 0x9f, 0x94, 0x15}}},
-{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}, 
+{{{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}},
  {{0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00}}},
 {{{0xec, 0xd3, 0xff, 0x57, 0x0b, 0xb0, 0xb2, 0xdc, 0xf8, 0x4f, 0xe2, 0x12, 0xd5, 0x36, 0xbe, 0x6b, 0x09, 0x43, 0x6d, 0xa3, 0x4d, 0x90, 0x2d, 0xb8, 0x74, 0xe8, 0x71, 0x45, 0x19, 0x8b, 0x0c, 0x6a}} ,
  {{0xb8, 0x42, 0x1c, 0x03, 0xad, 0x2c, 0x03, 0x8e, 0xac, 0xd7, 0x98, 0x29, 0x13, 0xc6, 0x02, 0x29, 0xb5, 0xd4, 0xe7, 0xcf, 0xcc, 0x8b, 0x83, 0xec, 0x35, 0xc7, 0x9c, 0x74, 0xb7, 0xad, 0x85, 0x5f}}},
@@ -1733,270 +1733,274 @@ static const ge25519_aff ge25519_base_multiples_affine[425] = {
  {{0x69, 0x3e, 0x47, 0x97, 0x2c, 0xaf, 0x52, 0x7c, 0x78, 0x83, 0xad, 0x1b, 0x39, 0x82, 0x2f, 0x02, 0x6f, 0x47, 0xdb, 0x2a, 0xb0, 0xe1, 0x91, 0x99, 0x55, 0xb8, 0x99, 0x3a, 0xa0, 0x44, 0x11, 0x51}}}
 };
 
-static inline void p1p1_to_p2(ge25519_p2 *r, const ge25519_p1p1 *p)
+void p1p1_to_p2(ge25519_p2 *r, const ge25519_p1p1 *p)
 {
-  fe25519_mul(&r->x, &p->x, &p->t);
-  fe25519_mul(&r->y, &p->y, &p->z);
-  fe25519_mul(&r->z, &p->z, &p->t);
+	fe25519_mul(&r->x, &p->x, &p->t);
+	fe25519_mul(&r->y, &p->y, &p->z);
+	fe25519_mul(&r->z, &p->z, &p->t);
 }
 
-static inline void p1p1_to_p2_2(ge25519_p3 *r, const ge25519_p1p1 *p)
+void p1p1_to_p2_2(ge25519_p3 *r, const ge25519_p1p1 *p)
 {
-  fe25519_mul(&r->x, &p->x, &p->t);
-  fe25519_mul(&r->y, &p->y, &p->z);
-  fe25519_mul(&r->z, &p->z, &p->t);
+	fe25519_mul(&r->x, &p->x, &p->t);
+	fe25519_mul(&r->y, &p->y, &p->z);
+	fe25519_mul(&r->z, &p->z, &p->t);
 }
 
-static inline void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p)
+void p1p1_to_p3(ge25519_p3 *r, const ge25519_p1p1 *p)
 {
-  p1p1_to_p2_2(r, p);
-  fe25519_mul(&r->t, &p->x, &p->y);
+	p1p1_to_p2_2(r, p);
+	fe25519_mul(&r->t, &p->x, &p->y);
 }
 
-static void ge25519_mixadd2(ge25519_p3 *r, const ge25519_aff *q)
+void ge25519_mixadd2(ge25519_p3 *r, const ge25519_aff *q)
 {
-  fe25519 a,b,t1,t2,c,d,e,f,g,h,qt;
-  fe25519_mul(&qt, &q->x, &q->y);
-  fe25519_sub(&a, &r->y, &r->x); /* A = (Y1-X1)*(Y2-X2) */
-  fe25519_add(&b, &r->y, &r->x); /* B = (Y1+X1)*(Y2+X2) */
-  fe25519_sub(&t1, &q->y, &q->x);
-  fe25519_add(&t2, &q->y, &q->x);
-  fe25519_mul(&a, &a, &t1);
-  fe25519_mul(&b, &b, &t2);
-  fe25519_sub(&e, &b, &a); /* E = B-A */
-  fe25519_add(&h, &b, &a); /* H = B+A */
-  fe25519_mul(&c, &r->t, &qt); /* C = T1*k*T2 */
-  fe25519_mul(&c, &c, &ge25519_ec2d);
-  fe25519_add(&d, &r->z, &r->z); /* D = Z1*2 */
-  fe25519_sub(&f, &d, &c); /* F = D-C */
-  fe25519_add(&g, &d, &c); /* G = D+C */
-  fe25519_mul(&r->x, &e, &f);
-  fe25519_mul(&r->y, &h, &g);
-  fe25519_mul(&r->z, &g, &f);
-  fe25519_mul(&r->t, &e, &h);
+	fe25519 a,b,t1,t2,c,d,e,f,g,h,qt;
+	fe25519_mul(&qt, &q->x, &q->y);
+	fe25519_sub(&a, &r->y, &r->x); /* A = (Y1-X1)*(Y2-X2) */
+	fe25519_add(&b, &r->y, &r->x); /* B = (Y1+X1)*(Y2+X2) */
+	fe25519_sub(&t1, &q->y, &q->x);
+	fe25519_add(&t2, &q->y, &q->x);
+	fe25519_mul(&a, &a, &t1);
+	fe25519_mul(&b, &b, &t2);
+	fe25519_sub(&e, &b, &a); /* E = B-A */
+	fe25519_add(&h, &b, &a); /* H = B+A */
+	fe25519_mul(&c, &r->t, &qt); /* C = T1*k*T2 */
+	fe25519_mul(&c, &c, &ge25519_ec2d);
+	fe25519_add(&d, &r->z, &r->z); /* D = Z1*2 */
+	fe25519_sub(&f, &d, &c); /* F = D-C */
+	fe25519_add(&g, &d, &c); /* G = D+C */
+	fe25519_mul(&r->x, &e, &f);
+	fe25519_mul(&r->y, &h, &g);
+	fe25519_mul(&r->z, &g, &f);
+	fe25519_mul(&r->t, &e, &h);
 }
 
-static void add_p1p1(ge25519_p1p1 *r, const ge25519_p3 *p, const ge25519_p3 *q)
+void add_p1p1(ge25519_p1p1 *r, const ge25519_p3 *p, const ge25519_p3 *q)
 {
-  fe25519 a, b, c, d, t;
-  
-  fe25519_sub(&a, &p->y, &p->x); /* A = (Y1-X1)*(Y2-X2) */
-  fe25519_sub(&t, &q->y, &q->x);
-  fe25519_mul(&a, &a, &t);
-  fe25519_add(&b, &p->x, &p->y); /* B = (Y1+X1)*(Y2+X2) */
-  fe25519_add(&t, &q->x, &q->y);
-  fe25519_mul(&b, &b, &t);
-  fe25519_mul(&c, &p->t, &q->t); /* C = T1*k*T2 */
-  fe25519_mul(&c, &c, &ge25519_ec2d);
-  fe25519_mul(&d, &p->z, &q->z); /* D = Z1*2*Z2 */
-  fe25519_add(&d, &d, &d);
-  fe25519_sub(&r->x, &b, &a); /* E = B-A */
-  fe25519_sub(&r->t, &d, &c); /* F = D-C */
-  fe25519_add(&r->z, &d, &c); /* G = D+C */
-  fe25519_add(&r->y, &b, &a); /* H = B+A */
+	fe25519 a, b, c, d, t;
+
+	fe25519_sub(&a, &p->y, &p->x); /* A = (Y1-X1)*(Y2-X2) */
+	fe25519_sub(&t, &q->y, &q->x);
+	fe25519_mul(&a, &a, &t);
+	fe25519_add(&b, &p->x, &p->y); /* B = (Y1+X1)*(Y2+X2) */
+	fe25519_add(&t, &q->x, &q->y);
+	fe25519_mul(&b, &b, &t);
+	fe25519_mul(&c, &p->t, &q->t); /* C = T1*k*T2 */
+	fe25519_mul(&c, &c, &ge25519_ec2d);
+	fe25519_mul(&d, &p->z, &q->z); /* D = Z1*2*Z2 */
+	fe25519_add(&d, &d, &d);
+	fe25519_sub(&r->x, &b, &a); /* E = B-A */
+	fe25519_sub(&r->t, &d, &c); /* F = D-C */
+	fe25519_add(&r->z, &d, &c); /* G = D+C */
+	fe25519_add(&r->y, &b, &a); /* H = B+A */
 }
 
 /* See http://www.hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-dbl-2008-hwcd */
-static void dbl_p1p1(ge25519_p1p1 *r, const ge25519_p2 *p)
+void dbl_p1p1(ge25519_p1p1 *r, const ge25519_p2 *p)
 {
-  fe25519 a,b,c,d;
-  fe25519_square(&a, &p->x);
-  fe25519_square(&b, &p->y);
-  fe25519_square(&c, &p->z);
-  fe25519_add(&c, &c, &c);
-  fe25519_neg(&d, &a);
+	fe25519 a,b,c,d;
+	fe25519_square(&a, &p->x);
+	fe25519_square(&b, &p->y);
+	fe25519_square(&c, &p->z);
+	fe25519_add(&c, &c, &c);
+	fe25519_neg(&d, &a);
 
-  fe25519_add(&r->x, &p->x, &p->y);
-  fe25519_square(&r->x, &r->x);
-  fe25519_sub(&r->x, &r->x, &a);
-  fe25519_sub(&r->x, &r->x, &b);
-  fe25519_add(&r->z, &d, &b);
-  fe25519_sub(&r->t, &r->z, &c);
-  fe25519_sub(&r->y, &d, &b);
+	fe25519_add(&r->x, &p->x, &p->y);
+	fe25519_square(&r->x, &r->x);
+	fe25519_sub(&r->x, &r->x, &a);
+	fe25519_sub(&r->x, &r->x, &b);
+	fe25519_add(&r->z, &d, &b);
+	fe25519_sub(&r->t, &r->z, &c);
+	fe25519_sub(&r->y, &d, &b);
 }
 
 /* Constant-time version of: if(b) r = p */
-static inline void cmov_aff(ge25519_aff *r, const ge25519_aff *p, unsigned char b)
+void cmov_aff(ge25519_aff *r, const ge25519_aff *p, unsigned char b)
 {
-  fe25519_cmov(&r->x, &p->x, b);
-  fe25519_cmov(&r->y, &p->y, b);
+	fe25519_cmov(&r->x, &p->x, b);
+	fe25519_cmov(&r->y, &p->y, b);
 }
 
-static inline unsigned char equal(signed char b,signed char c)
+unsigned char equal(signed char b,signed char c)
 {
-  unsigned char ub = b;
-  unsigned char uc = c;
-  unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */
-  crypto_uint32 y = x; /* 0: yes; 1..255: no */
-  y -= 1; /* 4294967295: yes; 0..254: no */
-  y >>= 31; /* 1: yes; 0: no */
-  return (unsigned char)y;
+	unsigned char ub = b;
+	unsigned char uc = c;
+	unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */
+	crypto_uint32 y = x; /* 0: yes; 1..255: no */
+	y -= 1; /* 4294967295: yes; 0..254: no */
+	y >>= 31; /* 1: yes; 0: no */
+	return (unsigned char)y;
 }
 
-static inline unsigned char negative(signed char b)
+unsigned char negative(signed char b)
 {
-  unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
-  x >>= 63; /* 1: yes; 0: no */
-  return (unsigned char)x;
+	unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
+	x >>= 63; /* 1: yes; 0: no */
+	return (unsigned char)x;
 }
 
-static inline void choose_t(ge25519_aff *t, unsigned long long pos, signed char b)
+void choose_t(ge25519_aff *t, unsigned long long pos, signed char b)
 {
-  /* constant time */
-  fe25519 v;
-  *t = ge25519_base_multiples_affine[5*pos+0];
-  cmov_aff(t, &ge25519_base_multiples_affine[5*pos+1],equal(b,1) | equal(b,-1));
-  cmov_aff(t, &ge25519_base_multiples_affine[5*pos+2],equal(b,2) | equal(b,-2));
-  cmov_aff(t, &ge25519_base_multiples_affine[5*pos+3],equal(b,3) | equal(b,-3));
-  cmov_aff(t, &ge25519_base_multiples_affine[5*pos+4],equal(b,-4));
-  fe25519_neg(&v, &t->x);
-  fe25519_cmov(&t->x, &v, negative(b));
+	/* constant time */
+	fe25519 v;
+	*t = ge25519_base_multiples_affine[5*pos+0];
+	cmov_aff(t, &ge25519_base_multiples_affine[5*pos+1],equal(b,1) | equal(b,-1));
+	cmov_aff(t, &ge25519_base_multiples_affine[5*pos+2],equal(b,2) | equal(b,-2));
+	cmov_aff(t, &ge25519_base_multiples_affine[5*pos+3],equal(b,3) | equal(b,-3));
+	cmov_aff(t, &ge25519_base_multiples_affine[5*pos+4],equal(b,-4));
+	fe25519_neg(&v, &t->x);
+	fe25519_cmov(&t->x, &v, negative(b));
 }
 
-static inline void setneutral(ge25519 *r)
+void setneutral(ge25519 *r)
 {
-  fe25519_setzero(&r->x);
-  fe25519_setone(&r->y);
-  fe25519_setone(&r->z);
-  fe25519_setzero(&r->t);
+	fe25519_setzero(&r->x);
+	fe25519_setone(&r->y);
+	fe25519_setone(&r->z);
+	fe25519_setzero(&r->t);
 }
 
 /* return 0 on success, -1 otherwise */
-static int ge25519_unpackneg_vartime(ge25519_p3 *r, const unsigned char p[32])
-{
-  unsigned char par;
-  fe25519 t, chk, num, den, den2, den4, den6;
-  fe25519_setone(&r->z);
-  par = p[31] >> 7;
-  fe25519_unpack(&r->y, p); 
-  fe25519_square(&num, &r->y); /* x = y^2 */
-  fe25519_mul(&den, &num, &ge25519_ecd); /* den = dy^2 */
-  fe25519_sub(&num, &num, &r->z); /* x = y^2-1 */
-  fe25519_add(&den, &r->z, &den); /* den = dy^2+1 */
-
-  /* Computation of sqrt(num/den) */
-  /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */
-  fe25519_square(&den2, &den);
-  fe25519_square(&den4, &den2);
-  fe25519_mul(&den6, &den4, &den2);
-  fe25519_mul(&t, &den6, &num);
-  fe25519_mul(&t, &t, &den);
-
-  fe25519_pow2523(&t, &t);
-  /* 2. computation of r->x = t * num * den^3 */
-  fe25519_mul(&t, &t, &num);
-  fe25519_mul(&t, &t, &den);
-  fe25519_mul(&t, &t, &den);
-  fe25519_mul(&r->x, &t, &den);
-
-  /* 3. Check whether sqrt computation gave correct result, multiply by sqrt(-1) if not: */
-  fe25519_square(&chk, &r->x);
-  fe25519_mul(&chk, &chk, &den);
-  if (!fe25519_iseq_vartime(&chk, &num))
-    fe25519_mul(&r->x, &r->x, &ge25519_sqrtm1);
-
-  /* 4. Now we have one of the two square roots, except if input was not a square */
-  fe25519_square(&chk, &r->x);
-  fe25519_mul(&chk, &chk, &den);
-  if (!fe25519_iseq_vartime(&chk, &num))
-    return -1;
-
-  /* 5. Choose the desired square root according to parity: */
-  if(fe25519_getparity(&r->x) != (1-par))
-    fe25519_neg(&r->x, &r->x);
-
-  fe25519_mul(&r->t, &r->x, &r->y);
-  return 0;
-}
-
-static inline void ge25519_pack(unsigned char r[32], const ge25519_p3 *p)
-{
-  fe25519 tx, ty, zi;
-  fe25519_invert(&zi, &p->z); 
-  fe25519_mul(&tx, &p->x, &zi);
-  fe25519_mul(&ty, &p->y, &zi);
-  fe25519_pack(r, &ty);
-  r[31] ^= fe25519_getparity(&tx) << 7;
+int ge25519_unpackneg_vartime(ge25519_p3 *r, const unsigned char p[32])
+{
+	unsigned char par;
+	fe25519 t, chk, num, den, den2, den4, den6;
+	fe25519_setone(&r->z);
+	par = p[31] >> 7;
+	fe25519_unpack(&r->y, p);
+	fe25519_square(&num, &r->y); /* x = y^2 */
+	fe25519_mul(&den, &num, &ge25519_ecd); /* den = dy^2 */
+	fe25519_sub(&num, &num, &r->z); /* x = y^2-1 */
+	fe25519_add(&den, &r->z, &den); /* den = dy^2+1 */
+
+	/* Computation of sqrt(num/den) */
+	/* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */
+	fe25519_square(&den2, &den);
+	fe25519_square(&den4, &den2);
+	fe25519_mul(&den6, &den4, &den2);
+	fe25519_mul(&t, &den6, &num);
+	fe25519_mul(&t, &t, &den);
+
+	fe25519_pow2523(&t, &t);
+	/* 2. computation of r->x = t * num * den^3 */
+	fe25519_mul(&t, &t, &num);
+	fe25519_mul(&t, &t, &den);
+	fe25519_mul(&t, &t, &den);
+	fe25519_mul(&r->x, &t, &den);
+
+	/* 3. Check whether sqrt computation gave correct result, multiply by sqrt(-1) if not: */
+	fe25519_square(&chk, &r->x);
+	fe25519_mul(&chk, &chk, &den);
+	if (!fe25519_iseq_vartime(&chk, &num))
+		fe25519_mul(&r->x, &r->x, &ge25519_sqrtm1);
+
+	/* 4. Now we have one of the two square roots, except if input was not a square */
+	fe25519_square(&chk, &r->x);
+	fe25519_mul(&chk, &chk, &den);
+	if (!fe25519_iseq_vartime(&chk, &num))
+		return -1;
+
+	/* 5. Choose the desired square root according to parity: */
+	if(fe25519_getparity(&r->x) != (1-par))
+		fe25519_neg(&r->x, &r->x);
+
+	fe25519_mul(&r->t, &r->x, &r->y);
+	return 0;
+}
+
+void ge25519_pack(unsigned char r[32], const ge25519_p3 *p)
+{
+	fe25519 tx, ty, zi;
+	fe25519_invert(&zi, &p->z);
+	fe25519_mul(&tx, &p->x, &zi);
+	fe25519_mul(&ty, &p->y, &zi);
+	fe25519_pack(r, &ty);
+	r[31] ^= fe25519_getparity(&tx) << 7;
 }
 
 /* computes [s1]p1 + [s2]p2 */
-static void ge25519_double_scalarmult_vartime(ge25519_p3 *r, const ge25519_p3 *p1, const sc25519 *s1, const ge25519_p3 *p2, const sc25519 *s2)
-{
-  ge25519_p1p1 tp1p1;
-  ge25519_p3 pre[16];
-  char *pre5 = (char *)(&(pre[5])); // eliminate type punning warning
-  unsigned char b[127];
-  int i;
-
-  /* precomputation                                                        s2 s1 */
-  setneutral(pre);                                                      /* 00 00 */
-  pre[1] = *p1;                                                         /* 00 01 */
-  dbl_p1p1(&tp1p1,(ge25519_p2 *)p1);      p1p1_to_p3( &pre[2], &tp1p1); /* 00 10 */
-  add_p1p1(&tp1p1,&pre[1], &pre[2]);      p1p1_to_p3( &pre[3], &tp1p1); /* 00 11 */
-  pre[4] = *p2;                                                         /* 01 00 */
-  add_p1p1(&tp1p1,&pre[1], &pre[4]);      p1p1_to_p3( &pre[5], &tp1p1); /* 01 01 */
-  add_p1p1(&tp1p1,&pre[2], &pre[4]);      p1p1_to_p3( &pre[6], &tp1p1); /* 01 10 */
-  add_p1p1(&tp1p1,&pre[3], &pre[4]);      p1p1_to_p3( &pre[7], &tp1p1); /* 01 11 */
-  dbl_p1p1(&tp1p1,(ge25519_p2 *)p2);      p1p1_to_p3( &pre[8], &tp1p1); /* 10 00 */
-  add_p1p1(&tp1p1,&pre[1], &pre[8]);      p1p1_to_p3( &pre[9], &tp1p1); /* 10 01 */
-  dbl_p1p1(&tp1p1,(ge25519_p2 *)pre5);    p1p1_to_p3(&pre[10], &tp1p1); /* 10 10 */
-  add_p1p1(&tp1p1,&pre[3], &pre[8]);      p1p1_to_p3(&pre[11], &tp1p1); /* 10 11 */
-  add_p1p1(&tp1p1,&pre[4], &pre[8]);      p1p1_to_p3(&pre[12], &tp1p1); /* 11 00 */
-  add_p1p1(&tp1p1,&pre[1],&pre[12]);      p1p1_to_p3(&pre[13], &tp1p1); /* 11 01 */
-  add_p1p1(&tp1p1,&pre[2],&pre[12]);      p1p1_to_p3(&pre[14], &tp1p1); /* 11 10 */
-  add_p1p1(&tp1p1,&pre[3],&pre[12]);      p1p1_to_p3(&pre[15], &tp1p1); /* 11 11 */
-
-  sc25519_2interleave2(b,s1,s2);
-
-  /* scalar multiplication */
-  *r = pre[b[126]];
-  for(i=125;i>=0;i--)
-  {
-    dbl_p1p1(&tp1p1, (ge25519_p2 *)r);
-    p1p1_to_p2((ge25519_p2 *) r, &tp1p1);
-    dbl_p1p1(&tp1p1, (ge25519_p2 *)r);
-    if(b[i]!=0)
-    {
-      p1p1_to_p3(r, &tp1p1);
-      add_p1p1(&tp1p1, r, &pre[b[i]]);
-    }
-    if(i != 0) p1p1_to_p2((ge25519_p2 *)r, &tp1p1);
-    else p1p1_to_p3(r, &tp1p1);
-  }
-}
-
-static inline void ge25519_scalarmult_base(ge25519_p3 *r, const sc25519 *s)
-{
-  signed char b[85];
-  int i;
-  ge25519_aff t;
-  sc25519_window3(b,s);
-
-  choose_t((ge25519_aff *)r, 0, b[0]);
-  fe25519_setone(&r->z);
-  fe25519_mul(&r->t, &r->x, &r->y);
-  for(i=1;i<85;i++)
-  {
-    choose_t(&t, (unsigned long long) i, b[i]);
-    ge25519_mixadd2(r, &t);
-  }
-}
-
-static inline void get_hram(unsigned char *hram, const unsigned char *sm, const unsigned char *pk, unsigned char *playground, unsigned long long smlen)
-{
-  unsigned long long i;
-
-  for (i =  0;i < 32;++i)    playground[i] = sm[i];
-  for (i = 32;i < 64;++i)    playground[i] = pk[i-32];
-  for (i = 64;i < smlen;++i) playground[i] = sm[i];
-
-  //crypto_hash_sha512(hram,playground,smlen);
-  SHA512::hash(hram,playground,(unsigned int)smlen);
+void ge25519_double_scalarmult_vartime(ge25519_p3 *r, const ge25519_p3 *p1, const sc25519 *s1, const ge25519_p3 *p2, const sc25519 *s2)
+{
+	ge25519_p1p1 tp1p1;
+	ge25519_p3 pre[16];
+	char *pre5 = (char *)(&(pre[5])); // eliminate type punning warning
+	unsigned char b[127];
+	int i;
+
+	/* precomputation                                                        s2 s1 */
+	setneutral(pre);                                                      /* 00 00 */
+	pre[1] = *p1;                                                         /* 00 01 */
+	dbl_p1p1(&tp1p1,(ge25519_p2 *)p1);      p1p1_to_p3( &pre[2], &tp1p1); /* 00 10 */
+	add_p1p1(&tp1p1,&pre[1], &pre[2]);      p1p1_to_p3( &pre[3], &tp1p1); /* 00 11 */
+	pre[4] = *p2;                                                         /* 01 00 */
+	add_p1p1(&tp1p1,&pre[1], &pre[4]);      p1p1_to_p3( &pre[5], &tp1p1); /* 01 01 */
+	add_p1p1(&tp1p1,&pre[2], &pre[4]);      p1p1_to_p3( &pre[6], &tp1p1); /* 01 10 */
+	add_p1p1(&tp1p1,&pre[3], &pre[4]);      p1p1_to_p3( &pre[7], &tp1p1); /* 01 11 */
+	dbl_p1p1(&tp1p1,(ge25519_p2 *)p2);      p1p1_to_p3( &pre[8], &tp1p1); /* 10 00 */
+	add_p1p1(&tp1p1,&pre[1], &pre[8]);      p1p1_to_p3( &pre[9], &tp1p1); /* 10 01 */
+	dbl_p1p1(&tp1p1,(ge25519_p2 *)pre5);    p1p1_to_p3(&pre[10], &tp1p1); /* 10 10 */
+	add_p1p1(&tp1p1,&pre[3], &pre[8]);      p1p1_to_p3(&pre[11], &tp1p1); /* 10 11 */
+	add_p1p1(&tp1p1,&pre[4], &pre[8]);      p1p1_to_p3(&pre[12], &tp1p1); /* 11 00 */
+	add_p1p1(&tp1p1,&pre[1],&pre[12]);      p1p1_to_p3(&pre[13], &tp1p1); /* 11 01 */
+	add_p1p1(&tp1p1,&pre[2],&pre[12]);      p1p1_to_p3(&pre[14], &tp1p1); /* 11 10 */
+	add_p1p1(&tp1p1,&pre[3],&pre[12]);      p1p1_to_p3(&pre[15], &tp1p1); /* 11 11 */
+
+	sc25519_2interleave2(b,s1,s2);
+
+	/* scalar multiplication */
+	*r = pre[b[126]];
+	for(i=125;i>=0;i--)
+	{
+		dbl_p1p1(&tp1p1, (ge25519_p2 *)r);
+		p1p1_to_p2((ge25519_p2 *) r, &tp1p1);
+		dbl_p1p1(&tp1p1, (ge25519_p2 *)r);
+		if(b[i]!=0)
+		{
+			p1p1_to_p3(r, &tp1p1);
+			add_p1p1(&tp1p1, r, &pre[b[i]]);
+		}
+		if(i != 0) p1p1_to_p2((ge25519_p2 *)r, &tp1p1);
+		else p1p1_to_p3(r, &tp1p1);
+	}
+}
+
+void ge25519_scalarmult_base(ge25519_p3 *r, const sc25519 *s)
+{
+	signed char b[85];
+	int i;
+	ge25519_aff t;
+	sc25519_window3(b,s);
+
+	choose_t((ge25519_aff *)r, 0, b[0]);
+	fe25519_setone(&r->z);
+	fe25519_mul(&r->t, &r->x, &r->y);
+	for(i=1;i<85;i++)
+	{
+		choose_t(&t, (unsigned long long) i, b[i]);
+		ge25519_mixadd2(r, &t);
+	}
+}
+
+void get_hram(unsigned char *hram, const unsigned char *sm, const unsigned char *pk, unsigned char *playground, unsigned long long smlen)
+{
+	unsigned long long i;
+
+	for (i =  0;i < 32;++i)    playground[i] = sm[i];
+	for (i = 32;i < 64;++i)    playground[i] = pk[i-32];
+	for (i = 64;i < smlen;++i) playground[i] = sm[i];
+
+	//crypto_hash_sha512(hram,playground,smlen);
+	ZeroTier::SHA512::hash(hram,playground,(unsigned int)smlen);
 }
 
 //////////////////////////////////////////////////////////////////////////////
 //////////////////////////////////////////////////////////////////////////////
 
+} // anonymous namespace
+
+namespace ZeroTier {
+
 void C25519::agree(const C25519::Private &mine,const C25519::Public &their,void *keybuf,unsigned int keylen)
 {
 	unsigned char rawkey[32];
@@ -2015,109 +2019,108 @@ void C25519::agree(const C25519::Private &mine,const C25519::Public &their,void
 
 void C25519::sign(const C25519::Private &myPrivate,const C25519::Public &myPublic,const void *msg,unsigned int len,void *signature)
 {
-  sc25519 sck, scs, scsk;
-  ge25519 ger;
-  unsigned char r[32];
-  unsigned char s[32];
-  unsigned char extsk[64];
-  unsigned char hmg[crypto_hash_sha512_BYTES];
-  unsigned char hram[crypto_hash_sha512_BYTES];
-  unsigned char *sig = (unsigned char *)signature;
-  unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg)
-
-  SHA512::hash(digest,msg,len);
-
-  SHA512::hash(extsk,myPrivate.data + 32,32);
-  extsk[0] &= 248;
-  extsk[31] &= 127;
-  extsk[31] |= 64;
-
-  for(unsigned int i=0;i<32;i++)
-    sig[32 + i] = extsk[32 + i];
-  for(unsigned int i=0;i<32;i++)
-    sig[64 + i] = digest[i];
-
-  SHA512::hash(hmg,sig + 32,64);
-  //crypto_hash_sha512(hmg, sm+32, mlen+32); /* Generate k as h(extsk[32],...,extsk[63],m) */
-
-  /* Computation of R */
-  sc25519_from64bytes(&sck, hmg);
-  ge25519_scalarmult_base(&ger, &sck);
-  ge25519_pack(r, &ger);
-  
-  /* Computation of s */
-  for(unsigned int i=0;i<32;i++)
-    sig[i] = r[i];
-
-  get_hram(hram,sig,myPublic.data + 32,sig,96);
-
-  sc25519_from64bytes(&scs, hram);
-  sc25519_from32bytes(&scsk, extsk);
-  sc25519_mul(&scs, &scs, &scsk);
-  
-  sc25519_add(&scs, &scs, &sck);
-
-  sc25519_to32bytes(s,&scs); /* cat s */
-  for(unsigned int i=0;i<32;i++)
-    sig[32 + i] = s[i]; 
+	sc25519 sck, scs, scsk;
+	ge25519 ger;
+	unsigned char r[32];
+	unsigned char s[32];
+	unsigned char extsk[64];
+	unsigned char hmg[crypto_hash_sha512_BYTES];
+	unsigned char hram[crypto_hash_sha512_BYTES];
+	unsigned char *sig = (unsigned char *)signature;
+	unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg)
+
+	SHA512::hash(digest,msg,len);
+
+	SHA512::hash(extsk,myPrivate.data + 32,32);
+	extsk[0] &= 248;
+	extsk[31] &= 127;
+	extsk[31] |= 64;
+
+	for(unsigned int i=0;i<32;i++)
+		sig[32 + i] = extsk[32 + i];
+	for(unsigned int i=0;i<32;i++)
+		sig[64 + i] = digest[i];
+
+	SHA512::hash(hmg,sig + 32,64);
+
+	/* Computation of R */
+	sc25519_from64bytes(&sck, hmg);
+	ge25519_scalarmult_base(&ger, &sck);
+	ge25519_pack(r, &ger);
+
+	/* Computation of s */
+	for(unsigned int i=0;i<32;i++)
+		sig[i] = r[i];
+
+	get_hram(hram,sig,myPublic.data + 32,sig,96);
+
+	sc25519_from64bytes(&scs, hram);
+	sc25519_from32bytes(&scsk, extsk);
+	sc25519_mul(&scs, &scs, &scsk);
+
+	sc25519_add(&scs, &scs, &sck);
+
+	sc25519_to32bytes(s,&scs); /* cat s */
+	for(unsigned int i=0;i<32;i++)
+		sig[32 + i] = s[i];
 }
 
 bool C25519::verify(const C25519::Public &their,const void *msg,unsigned int len,const void *signature)
 {
-  unsigned char t2[32];
-  ge25519 get1, get2;
-  sc25519 schram, scs;
-  unsigned char hram[crypto_hash_sha512_BYTES];
-  unsigned char m[96];
-  unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg)
-  const unsigned char *sig = (const unsigned char *)signature;
+	unsigned char t2[32];
+	ge25519 get1, get2;
+	sc25519 schram, scs;
+	unsigned char hram[crypto_hash_sha512_BYTES];
+	unsigned char m[96];
+	unsigned char digest[64]; // we sign the first 32 bytes of SHA-512(msg)
+	const unsigned char *sig = (const unsigned char *)signature;
 
-  // First check the message's integrity
-  SHA512::hash(digest,msg,len);
-  if (!Utils::secureEq(sig + 64,digest,32))
-    return false;
+	// First check the message's integrity
+	SHA512::hash(digest,msg,len);
+	if (!Utils::secureEq(sig + 64,digest,32))
+		return false;
 
-  if (ge25519_unpackneg_vartime(&get1,their.data + 32))
-    return false;
+	if (ge25519_unpackneg_vartime(&get1,their.data + 32))
+		return false;
 
-  get_hram(hram,sig,their.data + 32,m,96);
+	get_hram(hram,sig,their.data + 32,m,96);
 
-  sc25519_from64bytes(&schram, hram);
+	sc25519_from64bytes(&schram, hram);
 
-  sc25519_from32bytes(&scs, sig+32);
+	sc25519_from32bytes(&scs, sig+32);
 
-  ge25519_double_scalarmult_vartime(&get2, &get1, &schram, &ge25519_base, &scs);
-  ge25519_pack(t2, &get2);
+	ge25519_double_scalarmult_vartime(&get2, &get1, &schram, &ge25519_base, &scs);
+	ge25519_pack(t2, &get2);
 
-  return Utils::secureEq(sig,t2,32);
+	return Utils::secureEq(sig,t2,32);
 }
 
 void C25519::_calcPubDH(C25519::Pair &kp)
 {
-  // First 32 bytes of pub and priv are the keys for ECDH key
-  // agreement. This generates the public portion from the private.
-  crypto_scalarmult_base(kp.pub.data,kp.priv.data);
+	// First 32 bytes of pub and priv are the keys for ECDH key
+	// agreement. This generates the public portion from the private.
+	crypto_scalarmult_base(kp.pub.data,kp.priv.data);
 }
 
 void C25519::_calcPubED(C25519::Pair &kp)
 {
-  unsigned char extsk[64];
-  sc25519 scsk;
-  ge25519 gepk;
-
-  // Second 32 bytes of pub and priv are the keys for ed25519
-  // signing and verification.
-  SHA512::hash(extsk,kp.priv.data + 32,32);
-  extsk[0] &= 248;
-  extsk[31] &= 127;
-  extsk[31] |= 64;
-  sc25519_from32bytes(&scsk,extsk);
-  ge25519_scalarmult_base(&gepk,&scsk);
-  ge25519_pack(kp.pub.data + 32,&gepk);
-  // In NaCl, the public key is crammed into the next 32 bytes
-  // of the private key for signing since both keys are required
-  // to sign. In this version we just get it from kp.pub, so we
-  // leave that out of private.
+	unsigned char extsk[64];
+	sc25519 scsk;
+	ge25519 gepk;
+
+	// Second 32 bytes of pub and priv are the keys for ed25519
+	// signing and verification.
+	SHA512::hash(extsk,kp.priv.data + 32,32);
+	extsk[0] &= 248;
+	extsk[31] &= 127;
+	extsk[31] |= 64;
+	sc25519_from32bytes(&scsk,extsk);
+	ge25519_scalarmult_base(&gepk,&scsk);
+	ge25519_pack(kp.pub.data + 32,&gepk);
+	// In NaCl, the public key is crammed into the next 32 bytes
+	// of the private key for signing since both keys are required
+	// to sign. In this version we just get it from kp.pub, so we
+	// leave that out of private.
 }
 
 } // namespace ZeroTier
diff --git a/node/SHA512.cpp b/node/SHA512.cpp
index c8d81dd1..226c23e1 100644
--- a/node/SHA512.cpp
+++ b/node/SHA512.cpp
@@ -14,6 +14,22 @@ Public domain.
 #include "SHA512.hpp"
 #include "Utils.hpp"
 
+#ifdef __APPLE__
+#include <CommonCrypto/CommonDigest.h>
+#define ZT_HAVE_NATIVE_SHA512
+namespace ZeroTier {
+void SHA512::hash(void *digest,const void *data,unsigned int len)
+{
+	CC_SHA512_CTX ctx;
+	CC_SHA512_Init(&ctx);
+	CC_SHA512_Update(&ctx,data,len);
+	CC_SHA512_Final(reinterpret_cast<unsigned char *>(digest),&ctx);
+}
+}
+#endif
+
+#ifndef ZT_HAVE_NATIVE_SHA512
+
 namespace ZeroTier {
 
 #define uint64 uint64_t
@@ -22,28 +38,28 @@ namespace ZeroTier {
 
 static uint64 load_bigendian(const unsigned char *x)
 {
-  return
-      (uint64) (x[7]) \
-  | (((uint64) (x[6])) << 8) \
-  | (((uint64) (x[5])) << 16) \
-  | (((uint64) (x[4])) << 24) \
-  | (((uint64) (x[3])) << 32) \
-  | (((uint64) (x[2])) << 40) \
-  | (((uint64) (x[1])) << 48) \
-  | (((uint64) (x[0])) << 56)
-  ;
+	return
+			(uint64) (x[7]) \
+	| (((uint64) (x[6])) << 8) \
+	| (((uint64) (x[5])) << 16) \
+	| (((uint64) (x[4])) << 24) \
+	| (((uint64) (x[3])) << 32) \
+	| (((uint64) (x[2])) << 40) \
+	| (((uint64) (x[1])) << 48) \
+	| (((uint64) (x[0])) << 56)
+	;
 }
 
 static void store_bigendian(unsigned char *x,uint64 u)
 {
-  x[7] = u; u >>= 8;
-  x[6] = u; u >>= 8;
-  x[5] = u; u >>= 8;
-  x[4] = u; u >>= 8;
-  x[3] = u; u >>= 8;
-  x[2] = u; u >>= 8;
-  x[1] = u; u >>= 8;
-  x[0] = u;
+	x[7] = u; u >>= 8;
+	x[6] = u; u >>= 8;
+	x[5] = u; u >>= 8;
+	x[4] = u; u >>= 8;
+	x[3] = u; u >>= 8;
+	x[2] = u; u >>= 8;
+	x[1] = u; u >>= 8;
+	x[0] = u;
 }
 
 #else // !ZT_NO_TYPE_PUNNING
@@ -66,266 +82,265 @@ static void store_bigendian(unsigned char *x,uint64 u)
 #define M(w0,w14,w9,w1) w0 = sigma1(w14) + w9 + sigma0(w1) + w0;
 
 #define EXPAND \
-  M(w0 ,w14,w9 ,w1 ) \
-  M(w1 ,w15,w10,w2 ) \
-  M(w2 ,w0 ,w11,w3 ) \
-  M(w3 ,w1 ,w12,w4 ) \
-  M(w4 ,w2 ,w13,w5 ) \
-  M(w5 ,w3 ,w14,w6 ) \
-  M(w6 ,w4 ,w15,w7 ) \
-  M(w7 ,w5 ,w0 ,w8 ) \
-  M(w8 ,w6 ,w1 ,w9 ) \
-  M(w9 ,w7 ,w2 ,w10) \
-  M(w10,w8 ,w3 ,w11) \
-  M(w11,w9 ,w4 ,w12) \
-  M(w12,w10,w5 ,w13) \
-  M(w13,w11,w6 ,w14) \
-  M(w14,w12,w7 ,w15) \
-  M(w15,w13,w8 ,w0 )
+	M(w0 ,w14,w9 ,w1 ) \
+	M(w1 ,w15,w10,w2 ) \
+	M(w2 ,w0 ,w11,w3 ) \
+	M(w3 ,w1 ,w12,w4 ) \
+	M(w4 ,w2 ,w13,w5 ) \
+	M(w5 ,w3 ,w14,w6 ) \
+	M(w6 ,w4 ,w15,w7 ) \
+	M(w7 ,w5 ,w0 ,w8 ) \
+	M(w8 ,w6 ,w1 ,w9 ) \
+	M(w9 ,w7 ,w2 ,w10) \
+	M(w10,w8 ,w3 ,w11) \
+	M(w11,w9 ,w4 ,w12) \
+	M(w12,w10,w5 ,w13) \
+	M(w13,w11,w6 ,w14) \
+	M(w14,w12,w7 ,w15) \
+	M(w15,w13,w8 ,w0 )
 
 #define F(w,k) \
-  T1 = h + Sigma1(e) + Ch(e,f,g) + k + w; \
-  T2 = Sigma0(a) + Maj(a,b,c); \
-  h = g; \
-  g = f; \
-  f = e; \
-  e = d + T1; \
-  d = c; \
-  c = b; \
-  b = a; \
-  a = T1 + T2;
+	T1 = h + Sigma1(e) + Ch(e,f,g) + k + w; \
+	T2 = Sigma0(a) + Maj(a,b,c); \
+	h = g; \
+	g = f; \
+	f = e; \
+	e = d + T1; \
+	d = c; \
+	c = b; \
+	b = a; \
+	a = T1 + T2;
 
 static inline int crypto_hashblocks(unsigned char *statebytes,const unsigned char *in,unsigned long long inlen)
 {
-  uint64 state[8];
-  uint64 a;
-  uint64 b;
-  uint64 c;
-  uint64 d;
-  uint64 e;
-  uint64 f;
-  uint64 g;
-  uint64 h;
-  uint64 T1;
-  uint64 T2;
-
-  a = load_bigendian(statebytes +  0); state[0] = a;
-  b = load_bigendian(statebytes +  8); state[1] = b;
-  c = load_bigendian(statebytes + 16); state[2] = c;
-  d = load_bigendian(statebytes + 24); state[3] = d;
-  e = load_bigendian(statebytes + 32); state[4] = e;
-  f = load_bigendian(statebytes + 40); state[5] = f;
-  g = load_bigendian(statebytes + 48); state[6] = g;
-  h = load_bigendian(statebytes + 56); state[7] = h;
-
-  while (inlen >= 128) {
-    uint64 w0  = load_bigendian(in +   0);
-    uint64 w1  = load_bigendian(in +   8);
-    uint64 w2  = load_bigendian(in +  16);
-    uint64 w3  = load_bigendian(in +  24);
-    uint64 w4  = load_bigendian(in +  32);
-    uint64 w5  = load_bigendian(in +  40);
-    uint64 w6  = load_bigendian(in +  48);
-    uint64 w7  = load_bigendian(in +  56);
-    uint64 w8  = load_bigendian(in +  64);
-    uint64 w9  = load_bigendian(in +  72);
-    uint64 w10 = load_bigendian(in +  80);
-    uint64 w11 = load_bigendian(in +  88);
-    uint64 w12 = load_bigendian(in +  96);
-    uint64 w13 = load_bigendian(in + 104);
-    uint64 w14 = load_bigendian(in + 112);
-    uint64 w15 = load_bigendian(in + 120);
-
-    F(w0 ,0x428a2f98d728ae22ULL)
-    F(w1 ,0x7137449123ef65cdULL)
-    F(w2 ,0xb5c0fbcfec4d3b2fULL)
-    F(w3 ,0xe9b5dba58189dbbcULL)
-    F(w4 ,0x3956c25bf348b538ULL)
-    F(w5 ,0x59f111f1b605d019ULL)
-    F(w6 ,0x923f82a4af194f9bULL)
-    F(w7 ,0xab1c5ed5da6d8118ULL)
-    F(w8 ,0xd807aa98a3030242ULL)
-    F(w9 ,0x12835b0145706fbeULL)
-    F(w10,0x243185be4ee4b28cULL)
-    F(w11,0x550c7dc3d5ffb4e2ULL)
-    F(w12,0x72be5d74f27b896fULL)
-    F(w13,0x80deb1fe3b1696b1ULL)
-    F(w14,0x9bdc06a725c71235ULL)
-    F(w15,0xc19bf174cf692694ULL)
-
-    EXPAND
-
-    F(w0 ,0xe49b69c19ef14ad2ULL)
-    F(w1 ,0xefbe4786384f25e3ULL)
-    F(w2 ,0x0fc19dc68b8cd5b5ULL)
-    F(w3 ,0x240ca1cc77ac9c65ULL)
-    F(w4 ,0x2de92c6f592b0275ULL)
-    F(w5 ,0x4a7484aa6ea6e483ULL)
-    F(w6 ,0x5cb0a9dcbd41fbd4ULL)
-    F(w7 ,0x76f988da831153b5ULL)
-    F(w8 ,0x983e5152ee66dfabULL)
-    F(w9 ,0xa831c66d2db43210ULL)
-    F(w10,0xb00327c898fb213fULL)
-    F(w11,0xbf597fc7beef0ee4ULL)
-    F(w12,0xc6e00bf33da88fc2ULL)
-    F(w13,0xd5a79147930aa725ULL)
-    F(w14,0x06ca6351e003826fULL)
-    F(w15,0x142929670a0e6e70ULL)
-
-    EXPAND
-
-    F(w0 ,0x27b70a8546d22ffcULL)
-    F(w1 ,0x2e1b21385c26c926ULL)
-    F(w2 ,0x4d2c6dfc5ac42aedULL)
-    F(w3 ,0x53380d139d95b3dfULL)
-    F(w4 ,0x650a73548baf63deULL)
-    F(w5 ,0x766a0abb3c77b2a8ULL)
-    F(w6 ,0x81c2c92e47edaee6ULL)
-    F(w7 ,0x92722c851482353bULL)
-    F(w8 ,0xa2bfe8a14cf10364ULL)
-    F(w9 ,0xa81a664bbc423001ULL)
-    F(w10,0xc24b8b70d0f89791ULL)
-    F(w11,0xc76c51a30654be30ULL)
-    F(w12,0xd192e819d6ef5218ULL)
-    F(w13,0xd69906245565a910ULL)
-    F(w14,0xf40e35855771202aULL)
-    F(w15,0x106aa07032bbd1b8ULL)
-
-    EXPAND
-
-    F(w0 ,0x19a4c116b8d2d0c8ULL)
-    F(w1 ,0x1e376c085141ab53ULL)
-    F(w2 ,0x2748774cdf8eeb99ULL)
-    F(w3 ,0x34b0bcb5e19b48a8ULL)
-    F(w4 ,0x391c0cb3c5c95a63ULL)
-    F(w5 ,0x4ed8aa4ae3418acbULL)
-    F(w6 ,0x5b9cca4f7763e373ULL)
-    F(w7 ,0x682e6ff3d6b2b8a3ULL)
-    F(w8 ,0x748f82ee5defb2fcULL)
-    F(w9 ,0x78a5636f43172f60ULL)
-    F(w10,0x84c87814a1f0ab72ULL)
-    F(w11,0x8cc702081a6439ecULL)
-    F(w12,0x90befffa23631e28ULL)
-    F(w13,0xa4506cebde82bde9ULL)
-    F(w14,0xbef9a3f7b2c67915ULL)
-    F(w15,0xc67178f2e372532bULL)
-
-    EXPAND
-
-    F(w0 ,0xca273eceea26619cULL)
-    F(w1 ,0xd186b8c721c0c207ULL)
-    F(w2 ,0xeada7dd6cde0eb1eULL)
-    F(w3 ,0xf57d4f7fee6ed178ULL)
-    F(w4 ,0x06f067aa72176fbaULL)
-    F(w5 ,0x0a637dc5a2c898a6ULL)
-    F(w6 ,0x113f9804bef90daeULL)
-    F(w7 ,0x1b710b35131c471bULL)
-    F(w8 ,0x28db77f523047d84ULL)
-    F(w9 ,0x32caab7b40c72493ULL)
-    F(w10,0x3c9ebe0a15c9bebcULL)
-    F(w11,0x431d67c49c100d4cULL)
-    F(w12,0x4cc5d4becb3e42b6ULL)
-    F(w13,0x597f299cfc657e2aULL)
-    F(w14,0x5fcb6fab3ad6faecULL)
-    F(w15,0x6c44198c4a475817ULL)
-
-    a += state[0];
-    b += state[1];
-    c += state[2];
-    d += state[3];
-    e += state[4];
-    f += state[5];
-    g += state[6];
-    h += state[7];
-
-    state[0] = a;
-    state[1] = b;
-    state[2] = c;
-    state[3] = d;
-    state[4] = e;
-    state[5] = f;
-    state[6] = g;
-    state[7] = h;
-
-    in += 128;
-    inlen -= 128;
-  }
-
-  store_bigendian(statebytes +  0,state[0]);
-  store_bigendian(statebytes +  8,state[1]);
-  store_bigendian(statebytes + 16,state[2]);
-  store_bigendian(statebytes + 24,state[3]);
-  store_bigendian(statebytes + 32,state[4]);
-  store_bigendian(statebytes + 40,state[5]);
-  store_bigendian(statebytes + 48,state[6]);
-  store_bigendian(statebytes + 56,state[7]);
-
-  return 0;
+	uint64 state[8];
+	uint64 a;
+	uint64 b;
+	uint64 c;
+	uint64 d;
+	uint64 e;
+	uint64 f;
+	uint64 g;
+	uint64 h;
+	uint64 T1;
+	uint64 T2;
+
+	a = load_bigendian(statebytes +  0); state[0] = a;
+	b = load_bigendian(statebytes +  8); state[1] = b;
+	c = load_bigendian(statebytes + 16); state[2] = c;
+	d = load_bigendian(statebytes + 24); state[3] = d;
+	e = load_bigendian(statebytes + 32); state[4] = e;
+	f = load_bigendian(statebytes + 40); state[5] = f;
+	g = load_bigendian(statebytes + 48); state[6] = g;
+	h = load_bigendian(statebytes + 56); state[7] = h;
+
+	while (inlen >= 128) {
+		uint64 w0  = load_bigendian(in +   0);
+		uint64 w1  = load_bigendian(in +   8);
+		uint64 w2  = load_bigendian(in +  16);
+		uint64 w3  = load_bigendian(in +  24);
+		uint64 w4  = load_bigendian(in +  32);
+		uint64 w5  = load_bigendian(in +  40);
+		uint64 w6  = load_bigendian(in +  48);
+		uint64 w7  = load_bigendian(in +  56);
+		uint64 w8  = load_bigendian(in +  64);
+		uint64 w9  = load_bigendian(in +  72);
+		uint64 w10 = load_bigendian(in +  80);
+		uint64 w11 = load_bigendian(in +  88);
+		uint64 w12 = load_bigendian(in +  96);
+		uint64 w13 = load_bigendian(in + 104);
+		uint64 w14 = load_bigendian(in + 112);
+		uint64 w15 = load_bigendian(in + 120);
+
+		F(w0 ,0x428a2f98d728ae22ULL)
+		F(w1 ,0x7137449123ef65cdULL)
+		F(w2 ,0xb5c0fbcfec4d3b2fULL)
+		F(w3 ,0xe9b5dba58189dbbcULL)
+		F(w4 ,0x3956c25bf348b538ULL)
+		F(w5 ,0x59f111f1b605d019ULL)
+		F(w6 ,0x923f82a4af194f9bULL)
+		F(w7 ,0xab1c5ed5da6d8118ULL)
+		F(w8 ,0xd807aa98a3030242ULL)
+		F(w9 ,0x12835b0145706fbeULL)
+		F(w10,0x243185be4ee4b28cULL)
+		F(w11,0x550c7dc3d5ffb4e2ULL)
+		F(w12,0x72be5d74f27b896fULL)
+		F(w13,0x80deb1fe3b1696b1ULL)
+		F(w14,0x9bdc06a725c71235ULL)
+		F(w15,0xc19bf174cf692694ULL)
+
+		EXPAND
+
+		F(w0 ,0xe49b69c19ef14ad2ULL)
+		F(w1 ,0xefbe4786384f25e3ULL)
+		F(w2 ,0x0fc19dc68b8cd5b5ULL)
+		F(w3 ,0x240ca1cc77ac9c65ULL)
+		F(w4 ,0x2de92c6f592b0275ULL)
+		F(w5 ,0x4a7484aa6ea6e483ULL)
+		F(w6 ,0x5cb0a9dcbd41fbd4ULL)
+		F(w7 ,0x76f988da831153b5ULL)
+		F(w8 ,0x983e5152ee66dfabULL)
+		F(w9 ,0xa831c66d2db43210ULL)
+		F(w10,0xb00327c898fb213fULL)
+		F(w11,0xbf597fc7beef0ee4ULL)
+		F(w12,0xc6e00bf33da88fc2ULL)
+		F(w13,0xd5a79147930aa725ULL)
+		F(w14,0x06ca6351e003826fULL)
+		F(w15,0x142929670a0e6e70ULL)
+
+		EXPAND
+
+		F(w0 ,0x27b70a8546d22ffcULL)
+		F(w1 ,0x2e1b21385c26c926ULL)
+		F(w2 ,0x4d2c6dfc5ac42aedULL)
+		F(w3 ,0x53380d139d95b3dfULL)
+		F(w4 ,0x650a73548baf63deULL)
+		F(w5 ,0x766a0abb3c77b2a8ULL)
+		F(w6 ,0x81c2c92e47edaee6ULL)
+		F(w7 ,0x92722c851482353bULL)
+		F(w8 ,0xa2bfe8a14cf10364ULL)
+		F(w9 ,0xa81a664bbc423001ULL)
+		F(w10,0xc24b8b70d0f89791ULL)
+		F(w11,0xc76c51a30654be30ULL)
+		F(w12,0xd192e819d6ef5218ULL)
+		F(w13,0xd69906245565a910ULL)
+		F(w14,0xf40e35855771202aULL)
+		F(w15,0x106aa07032bbd1b8ULL)
+
+		EXPAND
+
+		F(w0 ,0x19a4c116b8d2d0c8ULL)
+		F(w1 ,0x1e376c085141ab53ULL)
+		F(w2 ,0x2748774cdf8eeb99ULL)
+		F(w3 ,0x34b0bcb5e19b48a8ULL)
+		F(w4 ,0x391c0cb3c5c95a63ULL)
+		F(w5 ,0x4ed8aa4ae3418acbULL)
+		F(w6 ,0x5b9cca4f7763e373ULL)
+		F(w7 ,0x682e6ff3d6b2b8a3ULL)
+		F(w8 ,0x748f82ee5defb2fcULL)
+		F(w9 ,0x78a5636f43172f60ULL)
+		F(w10,0x84c87814a1f0ab72ULL)
+		F(w11,0x8cc702081a6439ecULL)
+		F(w12,0x90befffa23631e28ULL)
+		F(w13,0xa4506cebde82bde9ULL)
+		F(w14,0xbef9a3f7b2c67915ULL)
+		F(w15,0xc67178f2e372532bULL)
+
+		EXPAND
+
+		F(w0 ,0xca273eceea26619cULL)
+		F(w1 ,0xd186b8c721c0c207ULL)
+		F(w2 ,0xeada7dd6cde0eb1eULL)
+		F(w3 ,0xf57d4f7fee6ed178ULL)
+		F(w4 ,0x06f067aa72176fbaULL)
+		F(w5 ,0x0a637dc5a2c898a6ULL)
+		F(w6 ,0x113f9804bef90daeULL)
+		F(w7 ,0x1b710b35131c471bULL)
+		F(w8 ,0x28db77f523047d84ULL)
+		F(w9 ,0x32caab7b40c72493ULL)
+		F(w10,0x3c9ebe0a15c9bebcULL)
+		F(w11,0x431d67c49c100d4cULL)
+		F(w12,0x4cc5d4becb3e42b6ULL)
+		F(w13,0x597f299cfc657e2aULL)
+		F(w14,0x5fcb6fab3ad6faecULL)
+		F(w15,0x6c44198c4a475817ULL)
+
+		a += state[0];
+		b += state[1];
+		c += state[2];
+		d += state[3];
+		e += state[4];
+		f += state[5];
+		g += state[6];
+		h += state[7];
+
+		state[0] = a;
+		state[1] = b;
+		state[2] = c;
+		state[3] = d;
+		state[4] = e;
+		state[5] = f;
+		state[6] = g;
+		state[7] = h;
+
+		in += 128;
+		inlen -= 128;
+	}
+
+	store_bigendian(statebytes +  0,state[0]);
+	store_bigendian(statebytes +  8,state[1]);
+	store_bigendian(statebytes + 16,state[2]);
+	store_bigendian(statebytes + 24,state[3]);
+	store_bigendian(statebytes + 32,state[4]);
+	store_bigendian(statebytes + 40,state[5]);
+	store_bigendian(statebytes + 48,state[6]);
+	store_bigendian(statebytes + 56,state[7]);
+
+	return 0;
 }
 
 #define blocks crypto_hashblocks
 
 static const unsigned char iv[64] = {
-  0x6a,0x09,0xe6,0x67,0xf3,0xbc,0xc9,0x08,
-  0xbb,0x67,0xae,0x85,0x84,0xca,0xa7,0x3b,
-  0x3c,0x6e,0xf3,0x72,0xfe,0x94,0xf8,0x2b,
-  0xa5,0x4f,0xf5,0x3a,0x5f,0x1d,0x36,0xf1,
-  0x51,0x0e,0x52,0x7f,0xad,0xe6,0x82,0xd1,
-  0x9b,0x05,0x68,0x8c,0x2b,0x3e,0x6c,0x1f,
-  0x1f,0x83,0xd9,0xab,0xfb,0x41,0xbd,0x6b,
-  0x5b,0xe0,0xcd,0x19,0x13,0x7e,0x21,0x79
+	0x6a,0x09,0xe6,0x67,0xf3,0xbc,0xc9,0x08,
+	0xbb,0x67,0xae,0x85,0x84,0xca,0xa7,0x3b,
+	0x3c,0x6e,0xf3,0x72,0xfe,0x94,0xf8,0x2b,
+	0xa5,0x4f,0xf5,0x3a,0x5f,0x1d,0x36,0xf1,
+	0x51,0x0e,0x52,0x7f,0xad,0xe6,0x82,0xd1,
+	0x9b,0x05,0x68,0x8c,0x2b,0x3e,0x6c,0x1f,
+	0x1f,0x83,0xd9,0xab,0xfb,0x41,0xbd,0x6b,
+	0x5b,0xe0,0xcd,0x19,0x13,0x7e,0x21,0x79
 };
 
-//////////////////////////////////////////////////////////////////////////////
-//////////////////////////////////////////////////////////////////////////////
-
 void SHA512::hash(void *digest,const void *data,unsigned int len)
 {
-  unsigned char h[64];
-  unsigned char padded[256];
-  int i;
-  uint64_t bytes = len;
-
-  const unsigned char *in = (const unsigned char *)data;
-  unsigned int inlen = len;
-
-  for (i = 0;i < 64;++i) h[i] = iv[i];
-
-  blocks(h,in,inlen);
-  in += inlen;
-  inlen &= 127;
-  in -= inlen;
-
-  for (i = 0;i < (int)inlen;++i) padded[i] = in[i];
-  padded[inlen] = 0x80;
-
-  if (inlen < 112) {
-    for (i = inlen + 1;i < 119;++i) padded[i] = 0;
-    padded[119] = (unsigned char)((bytes >> 61) & 0xff);
-    padded[120] = (unsigned char)((bytes >> 53) & 0xff);
-    padded[121] = (unsigned char)((bytes >> 45) & 0xff);
-    padded[122] = (unsigned char)((bytes >> 37) & 0xff);
-    padded[123] = (unsigned char)((bytes >> 29) & 0xff);
-    padded[124] = (unsigned char)((bytes >> 21) & 0xff);
-    padded[125] = (unsigned char)((bytes >> 13) & 0xff);
-    padded[126] = (unsigned char)((bytes >> 5) & 0xff);
-    padded[127] = (unsigned char)((bytes << 3) & 0xff);
-    blocks(h,padded,128);
-  } else {
-    for (i = inlen + 1;i < 247;++i) padded[i] = 0;
-    padded[247] = (unsigned char)((bytes >> 61) & 0xff);
-    padded[248] = (unsigned char)((bytes >> 53) & 0xff);
-    padded[249] = (unsigned char)((bytes >> 45) & 0xff);
-    padded[250] = (unsigned char)((bytes >> 37) & 0xff);
-    padded[251] = (unsigned char)((bytes >> 29) & 0xff);
-    padded[252] = (unsigned char)((bytes >> 21) & 0xff);
-    padded[253] = (unsigned char)((bytes >> 13) & 0xff);
-    padded[254] = (unsigned char)((bytes >> 5) & 0xff);
-    padded[255] = (unsigned char)((bytes << 3) & 0xff);
-    blocks(h,padded,256);
-  }
-
-  for (i = 0;i < 64;++i) ((unsigned char *)digest)[i] = h[i];
+	unsigned char h[64];
+	unsigned char padded[256];
+	int i;
+	uint64_t bytes = len;
+
+	const unsigned char *in = (const unsigned char *)data;
+	unsigned int inlen = len;
+
+	for (i = 0;i < 64;++i) h[i] = iv[i];
+
+	blocks(h,in,inlen);
+	in += inlen;
+	inlen &= 127;
+	in -= inlen;
+
+	for (i = 0;i < (int)inlen;++i) padded[i] = in[i];
+	padded[inlen] = 0x80;
+
+	if (inlen < 112) {
+		for (i = inlen + 1;i < 119;++i) padded[i] = 0;
+		padded[119] = (unsigned char)((bytes >> 61) & 0xff);
+		padded[120] = (unsigned char)((bytes >> 53) & 0xff);
+		padded[121] = (unsigned char)((bytes >> 45) & 0xff);
+		padded[122] = (unsigned char)((bytes >> 37) & 0xff);
+		padded[123] = (unsigned char)((bytes >> 29) & 0xff);
+		padded[124] = (unsigned char)((bytes >> 21) & 0xff);
+		padded[125] = (unsigned char)((bytes >> 13) & 0xff);
+		padded[126] = (unsigned char)((bytes >> 5) & 0xff);
+		padded[127] = (unsigned char)((bytes << 3) & 0xff);
+		blocks(h,padded,128);
+	} else {
+		for (i = inlen + 1;i < 247;++i) padded[i] = 0;
+		padded[247] = (unsigned char)((bytes >> 61) & 0xff);
+		padded[248] = (unsigned char)((bytes >> 53) & 0xff);
+		padded[249] = (unsigned char)((bytes >> 45) & 0xff);
+		padded[250] = (unsigned char)((bytes >> 37) & 0xff);
+		padded[251] = (unsigned char)((bytes >> 29) & 0xff);
+		padded[252] = (unsigned char)((bytes >> 21) & 0xff);
+		padded[253] = (unsigned char)((bytes >> 13) & 0xff);
+		padded[254] = (unsigned char)((bytes >> 5) & 0xff);
+		padded[255] = (unsigned char)((bytes << 3) & 0xff);
+		blocks(h,padded,256);
+	}
+
+	for (i = 0;i < 64;++i) ((unsigned char *)digest)[i] = h[i];
 }
 
 } // namespace ZeroTier
+
+#endif