github.com/luckypickle/go-ethereum-vet@v1.14.2/crypto/secp256k1/libsecp256k1/src/scalar.h (about) 1 /********************************************************************** 2 * Copyright (c) 2014 Pieter Wuille * 3 * Distributed under the MIT software license, see the accompanying * 4 * file COPYING or http://www.opensource.org/licenses/mit-license.php.* 5 **********************************************************************/ 6 7 #ifndef _SECP256K1_SCALAR_ 8 #define _SECP256K1_SCALAR_ 9 10 #include "num.h" 11 12 #if defined HAVE_CONFIG_H 13 #include "libsecp256k1-config.h" 14 #endif 15 16 #if defined(EXHAUSTIVE_TEST_ORDER) 17 #include "scalar_low.h" 18 #elif defined(USE_SCALAR_4X64) 19 #include "scalar_4x64.h" 20 #elif defined(USE_SCALAR_8X32) 21 #include "scalar_8x32.h" 22 #else 23 #error "Please select scalar implementation" 24 #endif 25 26 /** Clear a scalar to prevent the leak of sensitive data. */ 27 static void vet_secp256k1_scalar_clear(vet_secp256k1_scalar *r); 28 29 /** Access bits from a scalar. All requested bits must belong to the same 32-bit limb. */ 30 static unsigned int vet_secp256k1_scalar_get_bits(const vet_secp256k1_scalar *a, unsigned int offset, unsigned int count); 31 32 /** Access bits from a scalar. Not constant time. */ 33 static unsigned int vet_secp256k1_scalar_get_bits_var(const vet_secp256k1_scalar *a, unsigned int offset, unsigned int count); 34 35 /** Set a scalar from a big endian byte array. */ 36 static void vet_secp256k1_scalar_set_b32(vet_secp256k1_scalar *r, const unsigned char *bin, int *overflow); 37 38 /** Set a scalar to an unsigned integer. */ 39 static void vet_secp256k1_scalar_set_int(vet_secp256k1_scalar *r, unsigned int v); 40 41 /** Convert a scalar to a byte array. */ 42 static void vet_secp256k1_scalar_get_b32(unsigned char *bin, const vet_secp256k1_scalar* a); 43 44 /** Add two scalars together (modulo the group order). Returns whether it overflowed. */ 45 static int vet_secp256k1_scalar_add(vet_secp256k1_scalar *r, const vet_secp256k1_scalar *a, const vet_secp256k1_scalar *b); 46 47 /** Conditionally add a power of two to a scalar. The result is not allowed to overflow. */ 48 static void vet_secp256k1_scalar_cadd_bit(vet_secp256k1_scalar *r, unsigned int bit, int flag); 49 50 /** Multiply two scalars (modulo the group order). */ 51 static void vet_secp256k1_scalar_mul(vet_secp256k1_scalar *r, const vet_secp256k1_scalar *a, const vet_secp256k1_scalar *b); 52 53 /** Shift a scalar right by some amount strictly between 0 and 16, returning 54 * the low bits that were shifted off */ 55 static int vet_secp256k1_scalar_shr_int(vet_secp256k1_scalar *r, int n); 56 57 /** Compute the square of a scalar (modulo the group order). */ 58 static void vet_secp256k1_scalar_sqr(vet_secp256k1_scalar *r, const vet_secp256k1_scalar *a); 59 60 /** Compute the inverse of a scalar (modulo the group order). */ 61 static void vet_secp256k1_scalar_inverse(vet_secp256k1_scalar *r, const vet_secp256k1_scalar *a); 62 63 /** Compute the inverse of a scalar (modulo the group order), without constant-time guarantee. */ 64 static void vet_secp256k1_scalar_inverse_var(vet_secp256k1_scalar *r, const vet_secp256k1_scalar *a); 65 66 /** Compute the complement of a scalar (modulo the group order). */ 67 static void vet_secp256k1_scalar_negate(vet_secp256k1_scalar *r, const vet_secp256k1_scalar *a); 68 69 /** Check whether a scalar equals zero. */ 70 static int vet_secp256k1_scalar_is_zero(const vet_secp256k1_scalar *a); 71 72 /** Check whether a scalar equals one. */ 73 static int vet_secp256k1_scalar_is_one(const vet_secp256k1_scalar *a); 74 75 /** Check whether a scalar, considered as an nonnegative integer, is even. */ 76 static int vet_secp256k1_scalar_is_even(const vet_secp256k1_scalar *a); 77 78 /** Check whether a scalar is higher than the group order divided by 2. */ 79 static int vet_secp256k1_scalar_is_high(const vet_secp256k1_scalar *a); 80 81 /** Conditionally negate a number, in constant time. 82 * Returns -1 if the number was negated, 1 otherwise */ 83 static int vet_secp256k1_scalar_cond_negate(vet_secp256k1_scalar *a, int flag); 84 85 #ifndef USE_NUM_NONE 86 /** Convert a scalar to a number. */ 87 static void vet_secp256k1_scalar_get_num(vet_secp256k1_num *r, const vet_secp256k1_scalar *a); 88 89 /** Get the order of the group as a number. */ 90 static void vet_secp256k1_scalar_order_get_num(vet_secp256k1_num *r); 91 #endif 92 93 /** Compare two scalars. */ 94 static int vet_secp256k1_scalar_eq(const vet_secp256k1_scalar *a, const vet_secp256k1_scalar *b); 95 96 #ifdef USE_ENDOMORPHISM 97 /** Find r1 and r2 such that r1+r2*2^128 = a. */ 98 static void vet_secp256k1_scalar_split_128(vet_secp256k1_scalar *r1, vet_secp256k1_scalar *r2, const vet_secp256k1_scalar *a); 99 /** Find r1 and r2 such that r1+r2*lambda = a, and r1 and r2 are maximum 128 bits long (see secp256k1_gej_mul_lambda). */ 100 static void vet_secp256k1_scalar_split_lambda(vet_secp256k1_scalar *r1, vet_secp256k1_scalar *r2, const vet_secp256k1_scalar *a); 101 #endif 102 103 /** Multiply a and b (without taking the modulus!), divide by 2**shift, and round to the nearest integer. Shift must be at least 256. */ 104 static void vet_secp256k1_scalar_mul_shift_var(vet_secp256k1_scalar *r, const vet_secp256k1_scalar *a, const vet_secp256k1_scalar *b, unsigned int shift); 105 106 #endif