Bitcoin ABC  0.28.12
P2P Digital Currency
scalar_low_impl.h
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1 /***********************************************************************
2  * Copyright (c) 2015 Andrew Poelstra *
3  * Distributed under the MIT software license, see the accompanying *
4  * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
5  ***********************************************************************/
6 
7 #ifndef SECP256K1_SCALAR_REPR_IMPL_H
8 #define SECP256K1_SCALAR_REPR_IMPL_H
9 
10 #include "scalar.h"
11 
12 #include <string.h>
13 
15  return !(*a & 1);
16 }
17 
19 SECP256K1_INLINE static void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v) { *r = v; }
20 
21 SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
22  if (offset < 32)
23  return ((*a >> offset) & ((((uint32_t)1) << count) - 1));
24  else
25  return 0;
26 }
27 
28 SECP256K1_INLINE static unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count) {
29  return secp256k1_scalar_get_bits(a, offset, count);
30 }
31 
33 
35  *r = (*a + *b) % EXHAUSTIVE_TEST_ORDER;
36  return *r < *b;
37 }
38 
39 static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag) {
40  if (flag && bit < 32)
41  *r += ((uint32_t)1 << bit);
42 #ifdef VERIFY
43  VERIFY_CHECK(bit < 32);
44  /* Verify that adding (1 << bit) will not overflow any in-range scalar *r by overflowing the underlying uint32_t. */
45  VERIFY_CHECK(((uint32_t)1 << bit) - 1 <= UINT32_MAX - EXHAUSTIVE_TEST_ORDER);
47 #endif
48 }
49 
50 static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow) {
51  int i;
52  int over = 0;
53  *r = 0;
54  for (i = 0; i < 32; i++) {
55  *r = (*r * 0x100) + b32[i];
56  if (*r >= EXHAUSTIVE_TEST_ORDER) {
57  over = 1;
59  }
60  }
61  if (overflow) *overflow = over;
62 }
63 
64 static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar* a) {
65  memset(bin, 0, 32);
66  bin[28] = *a >> 24; bin[29] = *a >> 16; bin[30] = *a >> 8; bin[31] = *a;
67 }
68 
70  return *a == 0;
71 }
72 
74  if (*a == 0) {
75  *r = 0;
76  } else {
77  *r = EXHAUSTIVE_TEST_ORDER - *a;
78  }
79 }
80 
82  return *a == 1;
83 }
84 
86  return *a > EXHAUSTIVE_TEST_ORDER / 2;
87 }
88 
90  if (flag) secp256k1_scalar_negate(r, r);
91  return flag ? -1 : 1;
92 }
93 
95  *r = (*a * *b) % EXHAUSTIVE_TEST_ORDER;
96 }
97 
99  int ret;
100  VERIFY_CHECK(n > 0);
101  VERIFY_CHECK(n < 16);
102  ret = *r & ((1 << n) - 1);
103  *r >>= n;
104  return ret;
105 }
106 
108  *r1 = *a;
109  *r2 = 0;
110 }
111 
113  return *a == *b;
114 }
115 
117  uint32_t mask0, mask1;
118  VG_CHECK_VERIFY(r, sizeof(*r));
119  mask0 = flag + ~((uint32_t)0);
120  mask1 = ~mask0;
121  *r = (*r & mask0) | (*a & mask1);
122 }
123 
125  int i;
126  *r = 0;
127  for (i = 0; i < EXHAUSTIVE_TEST_ORDER; i++)
128  if ((i * *x) % EXHAUSTIVE_TEST_ORDER == 1)
129  *r = i;
130  /* If this VERIFY_CHECK triggers we were given a noninvertible scalar (and thus
131  * have a composite group order; fix it in exhaustive_tests.c). */
132  VERIFY_CHECK(*r != 0);
133 }
134 
137 }
138 
139 #endif /* SECP256K1_SCALAR_REPR_IMPL_H */
static SECP256K1_INLINE int secp256k1_scalar_is_even(const secp256k1_scalar *a)
static SECP256K1_INLINE int secp256k1_scalar_check_overflow(const secp256k1_scalar *a)
static SECP256K1_INLINE unsigned int secp256k1_scalar_get_bits_var(const secp256k1_scalar *a, unsigned int offset, unsigned int count)
static SECP256K1_INLINE void secp256k1_scalar_clear(secp256k1_scalar *r)
static void secp256k1_scalar_set_b32(secp256k1_scalar *r, const unsigned char *b32, int *overflow)
static void secp256k1_scalar_inverse_var(secp256k1_scalar *r, const secp256k1_scalar *x)
static void secp256k1_scalar_get_b32(unsigned char *bin, const secp256k1_scalar *a)
static SECP256K1_INLINE void secp256k1_scalar_set_int(secp256k1_scalar *r, unsigned int v)
static void secp256k1_scalar_inverse(secp256k1_scalar *r, const secp256k1_scalar *x)
static SECP256K1_INLINE void secp256k1_scalar_cmov(secp256k1_scalar *r, const secp256k1_scalar *a, int flag)
static SECP256K1_INLINE int secp256k1_scalar_eq(const secp256k1_scalar *a, const secp256k1_scalar *b)
static int secp256k1_scalar_add(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b)
static int secp256k1_scalar_cond_negate(secp256k1_scalar *r, int flag)
static void secp256k1_scalar_mul(secp256k1_scalar *r, const secp256k1_scalar *a, const secp256k1_scalar *b)
static void secp256k1_scalar_negate(secp256k1_scalar *r, const secp256k1_scalar *a)
static SECP256K1_INLINE int secp256k1_scalar_is_zero(const secp256k1_scalar *a)
static int secp256k1_scalar_is_high(const secp256k1_scalar *a)
static SECP256K1_INLINE unsigned int secp256k1_scalar_get_bits(const secp256k1_scalar *a, unsigned int offset, unsigned int count)
static void secp256k1_scalar_split_128(secp256k1_scalar *r1, secp256k1_scalar *r2, const secp256k1_scalar *a)
static void secp256k1_scalar_cadd_bit(secp256k1_scalar *r, unsigned int bit, int flag)
static SECP256K1_INLINE int secp256k1_scalar_is_one(const secp256k1_scalar *a)
static int secp256k1_scalar_shr_int(secp256k1_scalar *r, int n)
#define VG_CHECK_VERIFY(x, y)
Definition: util.h:88
#define VERIFY_CHECK(cond)
Definition: util.h:68
#define SECP256K1_INLINE
Definition: secp256k1.h:124
A scalar modulo the group order of the secp256k1 curve.
Definition: scalar_4x64.h:13
static int count
Definition: tests.c:31
#define EXHAUSTIVE_TEST_ORDER