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1 // Copyright (c) 2012 The Chromium 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 CRYPTO_P224_H_
6 #define CRYPTO_P224_H_
7 
8 #include <string>
9 
10 #include "base/basictypes.h"
11 #include "base/strings/string_piece.h"
12 #include "crypto/crypto_export.h"
13 
14 namespace crypto {
15 
16 // P224 implements an elliptic curve group, commonly known as P224 and defined
17 // in FIPS 186-3, section D.2.2.
18 namespace p224 {
19 
20 // An element of the field (ℤ/pℤ) is represented with 8, 28-bit limbs in
21 // little endian order.
22 typedef uint32 FieldElement[8];
23 
24 struct CRYPTO_EXPORT Point {
25   // SetFromString the value of the point from the 56 byte, external
26   // representation. The external point representation is an (x, y) pair of a
27   // point on the curve. Each field element is represented as a big-endian
28   // number < p.
29   bool SetFromString(const base::StringPiece& in);
30 
31   // ToString returns an external representation of the Point.
32   std::string ToString() const;
33 
34   // An Point is represented in Jacobian form (x/z², y/z³).
35   FieldElement x, y, z;
36 };
37 
38 // kScalarBytes is the number of bytes needed to represent an element of the
39 // P224 field.
40 static const size_t kScalarBytes = 28;
41 
42 // ScalarMult computes *out = in*scalar where scalar is a 28-byte, big-endian
43 // number.
44 void CRYPTO_EXPORT ScalarMult(const Point& in, const uint8* scalar, Point* out);
45 
46 // ScalarBaseMult computes *out = g*scalar where g is the base point of the
47 // curve and scalar is a 28-byte, big-endian number.
48 void CRYPTO_EXPORT ScalarBaseMult(const uint8* scalar, Point* out);
49 
50 // Add computes *out = a+b.
51 void CRYPTO_EXPORT Add(const Point& a, const Point& b, Point* out);
52 
53 // Negate calculates out = -a;
54 void CRYPTO_EXPORT Negate(const Point& a, Point* out);
55 
56 }  // namespace p224
57 
58 }  // namespace crypto
59 
60 #endif  // CRYPTO_P224_H_
61