1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
|
/******************************************************
* Elliptic curves over GF(p) *
* *
* (C) 2007 Martin Doering *
* Christoph Ludwig *
* Falko Strenzke *
* 2008 Jack Lloyd *
******************************************************/
#include <botan/curve_gfp.h>
#include <botan/bigint.h>
#include <assert.h>
namespace Botan {
void CurveGFp::set_shrd_mod(SharedPtrConverter<GFpModulus> const mod)
{
mp_mod = mod.get_shared();
mA.turn_off_sp_red_mul();// m.m. is not needed, must be trf. back
mB.turn_off_sp_red_mul();// m.m. is not needed, must be trf. back
//ok, above we destroy any evantually computated montg. mult. values,
// but that won´t influence performance in usual applications
mA.set_shrd_mod(mod.get_shared());
mB.set_shrd_mod(mod.get_shared());
}
CurveGFp::CurveGFp(const GFpElement& a, const GFpElement& b,
const BigInt& p)
: mA(a),
mB(b)
{
if(!((p == mA.get_p()) && (p == mB.get_p())))
{
throw Invalid_Argument("could not construct curve: moduli of arguments differ");
}
std::tr1::shared_ptr<GFpModulus> p_mod = std::tr1::shared_ptr<GFpModulus>(new GFpModulus(p));
// the above is the creation of the GFpModuls object which will be shared point-wide
// (in the context of a point of course)
set_shrd_mod(p_mod);
}
// copy constructor
CurveGFp::CurveGFp(const CurveGFp& other)
: mA(other.get_a()),
mB(other.get_b())
{
mp_mod = std::tr1::shared_ptr<GFpModulus>(new GFpModulus(*other.mp_mod));
assert(mp_mod->p_equal_to(mA.get_p()));
assert(mp_mod->p_equal_to(mB.get_p()));
set_shrd_mod(mp_mod);
if(other.mp_mres_a.get())
{
mp_mres_a = std::tr1::shared_ptr<GFpElement>(new GFpElement(*other.mp_mres_a));
}
if(other.mp_mres_b.get())
{
mp_mres_b = std::tr1::shared_ptr<GFpElement>(new GFpElement(*other.mp_mres_b));
}
if(other.mp_mres_one.get())
{
mp_mres_one = std::tr1::shared_ptr<GFpElement>(new GFpElement(*other.mp_mres_one));
}
}
// assignment operator
const CurveGFp& CurveGFp::operator=(const CurveGFp& other)
{
// for exception safety...
GFpElement a_tmp = other.mA;
GFpElement b_tmp = other.mB;
mA.swap(a_tmp);
mB.swap(b_tmp);
std::tr1::shared_ptr<GFpModulus> p_mod = std::tr1::shared_ptr<GFpModulus>(new GFpModulus(*other.mp_mod));
set_shrd_mod(p_mod);
// exception safety note: no problem if we have a throw from here on...
if(other.mp_mres_a.get())
{
mp_mres_a = std::tr1::shared_ptr<GFpElement>(new GFpElement(*other.mp_mres_a));
}
if(other.mp_mres_b.get())
{
mp_mres_b = std::tr1::shared_ptr<GFpElement>(new GFpElement(*other.mp_mres_b));
}
if(other.mp_mres_one.get())
{
mp_mres_one = std::tr1::shared_ptr<GFpElement>(new GFpElement(*other.mp_mres_one));
}
return *this;
}
// getters
GFpElement const CurveGFp::get_a() const
{
return mA;
}
GFpElement const CurveGFp::get_b() const
{
return mB;
}
BigInt const CurveGFp::get_p() const
{
assert(mp_mod.get() != 0);
return mp_mod->get_p();
}
// swaps the states of *this and other, does not throw
void CurveGFp::swap(CurveGFp& other)
{
mA.swap(other.mA);
mB.swap(other.mB);
mp_mod.swap(other.mp_mod);
std::swap(mp_mres_a, other.mp_mres_a);
std::swap(mp_mres_b, other.mp_mres_b);
std::swap(mp_mres_one, other.mp_mres_one);
}
GFpElement const CurveGFp::get_mres_a() const
{
if(mp_mres_a.get() == 0)
{
mp_mres_a = std::tr1::shared_ptr<GFpElement>(new GFpElement(mA));
mp_mres_a->turn_on_sp_red_mul();
mp_mres_a->get_mres();
}
return GFpElement(*mp_mres_a);
}
GFpElement const CurveGFp::get_mres_b() const
{
if(mp_mres_b.get() == 0)
{
mp_mres_b = std::tr1::shared_ptr<GFpElement>(new GFpElement(mB));
mp_mres_b->turn_on_sp_red_mul();
mp_mres_b->get_mres();
}
return GFpElement(*mp_mres_b);
}
std::tr1::shared_ptr<GFpElement const> const CurveGFp::get_mres_one() const
{
if(mp_mres_one.get() == 0)
{
mp_mres_one = std::tr1::shared_ptr<GFpElement>(new GFpElement(mp_mod->get_p(), 1));
mp_mres_one->turn_on_sp_red_mul();
mp_mres_one->get_mres();
}
return mp_mres_one;
}
bool operator==(const CurveGFp& lhs, const CurveGFp& rhs)
{
return (lhs.get_p() == rhs.get_p() && lhs.get_a() == rhs.get_a() && lhs.get_b() == rhs.get_b());
}
std::ostream& operator<<(std::ostream& output, const CurveGFp& elem)
{
return output << "y^2f = x^3 + (" << elem.get_a() << ")x + (" << elem.get_b() << ")";
}
}
|