1 // Copyright 2012 The Chromium OS Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4 
5 #ifndef LIBWEAVE_THIRD_PARTY_CHROMIUM_P224_H_
6 #define LIBWEAVE_THIRD_PARTY_CHROMIUM_P224_H_
7 
8 #include <stddef.h>
9 #include <stdint.h>
10 
11 #include <string>
12 
13 #include "base/strings/string_piece.h"
14 
15 namespace crypto {
16 
17 // P224 implements an elliptic curve group, commonly known as P224 and defined
18 // in FIPS 186-3, section D.2.2.
19 namespace p224 {
20 
21 // An element of the field (ℤ/pℤ) is represented with 8, 28-bit limbs in
22 // little endian order.
23 typedef uint32_t FieldElement[8];
24 
25 struct Point {
26   // SetFromString the value of the point from the 56 byte, external
27   // representation. The external point representation is an (x, y) pair of a
28   // point on the curve. Each field element is represented as a big-endian
29   // number < p.
30   bool SetFromString(const base::StringPiece& in);
31 
32   // ToString returns an external representation of the Point.
33   std::string ToString() const;
34 
35   // An Point is represented in Jacobian form (x/z², y/z³).
36   FieldElement x, y, z;
37 };
38 
39 // kScalarBytes is the number of bytes needed to represent an element of the
40 // P224 field.
41 static const size_t kScalarBytes = 28;
42 
43 // ScalarMult computes *out = in*scalar where scalar is a 28-byte, big-endian
44 // number.
45 void ScalarMult(const Point& in, const uint8_t* scalar, Point* out);
46 
47 // ScalarBaseMult computes *out = g*scalar where g is the base point of the
48 // curve and scalar is a 28-byte, big-endian number.
49 void ScalarBaseMult(const uint8_t* scalar, Point* out);
50 
51 // Add computes *out = a+b.
52 void Add(const Point& a, const Point& b, Point* out);
53 
54 // Negate calculates out = -a;
55 void Negate(const Point& a, Point* out);
56 
57 }  // namespace p224
58 
59 }  // namespace crypto
60 
61 #endif  // LIBWEAVE_THIRD_PARTY_CHROMIUM_P224_H_
62