Botan: src/math/bigint/big_ops2.cpp Source File

Botan 1.10.16

big_ops2.cpp
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1 /*
2 * BigInt Assignment Operators
3 * (C) 1999-2007 Jack Lloyd
4 *
5 * Distributed under the terms of the Botan license
6 */
7
8 #include <botan/bigint.h>
9 #include <botan/internal/mp_core.h>
10 #include <botan/internal/bit_ops.h>
11 #include <algorithm>
12
13 namespace Botan {
14
15 /*
16 * Addition Operator
17 */
18 BigInt& BigInt::operator+=(const BigInt& y)
19 {
20 const size_t x_sw = sig_words(), y_sw = y.sig_words();
21
22 const size_t reg_size = std::max(x_sw, y_sw) + 1;
23 grow_to(reg_size);
24
25 if(sign() == y.sign())
26 bigint_add2(get_reg(), reg_size - 1, y.data(), y_sw);
27 else
28 {
29 s32bit relative_size = bigint_cmp(data(), x_sw, y.data(), y_sw);
30
31 if(relative_size < 0)
32 {
33 SecureVector<word> z(reg_size - 1);
34 bigint_sub3(z, y.data(), reg_size - 1, data(), x_sw);
35 copy_mem(&reg[0], &z[0], z.size());
36 set_sign(y.sign());
37 }
38 else if(relative_size == 0)
39 {
40 zeroise(reg);
41 set_sign(Positive);
42 }
43 else if(relative_size > 0)
44 bigint_sub2(get_reg(), x_sw, y.data(), y_sw);
45 }
46
47 return (*this);
48 }
49
50 /*
51 * Subtraction Operator
52 */
53 BigInt& BigInt::operator-=(const BigInt& y)
54 {
55 const size_t x_sw = sig_words(), y_sw = y.sig_words();
56
57 s32bit relative_size = bigint_cmp(data(), x_sw, y.data(), y_sw);
58
59 const size_t reg_size = std::max(x_sw, y_sw) + 1;
60 grow_to(reg_size);
61
62 if(relative_size < 0)
63 {
64 if(sign() == y.sign())
65 bigint_sub2_rev(get_reg(), y.data(), y_sw);
66 else
67 bigint_add2(get_reg(), reg_size - 1, y.data(), y_sw);
68
69 set_sign(y.reverse_sign());
70 }
71 else if(relative_size == 0)
72 {
73 if(sign() == y.sign())
74 {
75 clear();
76 set_sign(Positive);
77 }
78 else
79 bigint_shl1(get_reg(), x_sw, 0, 1);
80 }
81 else if(relative_size > 0)
82 {
83 if(sign() == y.sign())
84 bigint_sub2(get_reg(), x_sw, y.data(), y_sw);
85 else
86 bigint_add2(get_reg(), reg_size - 1, y.data(), y_sw);
87 }
88
89 return (*this);
90 }
91
92 /*
93 * Multiplication Operator
94 */
95 BigInt& BigInt::operator*=(const BigInt& y)
96 {
97 const size_t x_sw = sig_words(), y_sw = y.sig_words();
98 set_sign((sign() == y.sign()) ? Positive : Negative);
99
100 if(x_sw == 0 || y_sw == 0)
101 {
102 clear();
103 set_sign(Positive);
104 }
105 else if(x_sw == 1 && y_sw)
106 {
107 grow_to(y_sw + 2);
108 bigint_linmul3(get_reg(), y.data(), y_sw, word_at(0));
109 }
110 else if(y_sw == 1 && x_sw)
111 {
112 grow_to(x_sw + 2);
113 bigint_linmul2(get_reg(), x_sw, y.word_at(0));
114 }
115 else
116 {
117 grow_to(size() + y.size());
118
119 SecureVector<word> z(data(), x_sw);
120 SecureVector<word> workspace(size());
121
122 bigint_mul(get_reg(), size(), workspace,
123 z, z.size(), x_sw,
124 y.data(), y.size(), y_sw);
125 }
126
127 return (*this);
128 }
129
130 /*
131 * Division Operator
132 */
133 BigInt& BigInt::operator/=(const BigInt& y)
134 {
135 if(y.sig_words() == 1 && power_of_2(y.word_at(0)))
136 (*this) >>= (y.bits() - 1);
137 else
138 (*this) = (*this) / y;
139 return (*this);
140 }
141
142 /*
143 * Modulo Operator
144 */
145 BigInt& BigInt::operator%=(const BigInt& mod)
146 {
147 return (*this = (*this) % mod);
148 }
149
150 /*
151 * Modulo Operator
152 */
153 word BigInt::operator%=(word mod)
154 {
155 if(mod == 0)
156 throw BigInt::DivideByZero();
157 if(power_of_2(mod))
158 {
159 word result = (word_at(0) & (mod - 1));
160 clear();
161 grow_to(2);
162 get_reg()[0] = result;
163 return result;
164 }
165
166 word remainder = 0;
167
168 for(size_t j = sig_words(); j > 0; --j)
169 remainder = bigint_modop(remainder, word_at(j-1), mod);
170 clear();
171 grow_to(2);
172
173 if(remainder && sign() == BigInt::Negative)
174 get_reg()[0] = mod - remainder;
175 else
176 get_reg()[0] = remainder;
177
178 set_sign(BigInt::Positive);
179
180 return word_at(0);
181 }
182
183 /*
184 * Left Shift Operator
185 */
186 BigInt& BigInt::operator<<=(size_t shift)
187 {
188 if(shift)
189 {
190 const size_t shift_words = shift / MP_WORD_BITS,
191 shift_bits = shift % MP_WORD_BITS,
192 words = sig_words();
193
194 grow_to(words + shift_words + (shift_bits ? 1 : 0));
195 bigint_shl1(get_reg(), words, shift_words, shift_bits);
196 }
197
198 return (*this);
199 }
200
201 /*
202 * Right Shift Operator
203 */
204 BigInt& BigInt::operator>>=(size_t shift)
205 {
206 if(shift)
207 {
208 const size_t shift_words = shift / MP_WORD_BITS,
209 shift_bits = shift % MP_WORD_BITS;
210
211 bigint_shr1(get_reg(), sig_words(), shift_words, shift_bits);
212
213 if(is_zero())
214 set_sign(Positive);
215 }
216
217 return (*this);
218 }
219
220 }
Botan::bigint_shr1
void bigint_shr1(word x[], size_t x_size, size_t word_shift, size_t bit_shift)
Definition: mp_shift.cpp:42
Botan::bigint_sub2_rev
void bigint_sub2_rev(word x[], const word y[], size_t y_size)
Definition: mp_asm.cpp:179
Botan::BigInt::reverse_sign
Sign reverse_sign() const
Definition: bigint.cpp:310
Botan::BigInt
Definition: bigint.h:22
Botan::BigInt::Positive
Definition: bigint.h:33
Botan::BigInt::operator*=
BigInt & operator*=(const BigInt &y)
Definition: big_ops2.cpp:95
Botan::BigInt::bits
size_t bits() const
Definition: bigint.cpp:253
Botan::bigint_sub2
word bigint_sub2(word x[], size_t x_size, const word y[], size_t y_size)
Definition: mp_asm.cpp:158
Botan::bigint_linmul2
void bigint_linmul2(word x[], size_t x_size, word y)
Definition: mp_asm.cpp:220
Botan::BigInt::sign
Sign sign() const
Definition: bigint.h:257
Botan::BigInt::get_reg
SecureVector< word > & get_reg()
Definition: bigint.h:325
Botan::BigInt::is_zero
bool is_zero() const
Definition: bigint.h:176
Botan::bigint_sub3
word bigint_sub3(word z[], const word x[], size_t x_size, const word y[], size_t y_size)
Definition: mp_asm.cpp:198
Botan::BigInt::word_at
word word_at(size_t n) const
Definition: bigint.h:238
Botan::BigInt::operator<<=
BigInt & operator<<=(size_t shift)
Definition: big_ops2.cpp:186
Botan::BigInt::data
const word * data() const
Definition: bigint.h:317
Botan::BigInt::operator>>=
BigInt & operator>>=(size_t shift)
Definition: big_ops2.cpp:204
Botan::s32bit
signed int s32bit
Definition: types.h:37
Botan::bigint_linmul3
void bigint_linmul3(word z[], const word x[], size_t x_size, word y)
Definition: mp_asm.cpp:238
Botan::BigInt::Negative
Definition: bigint.h:33
Botan::BigInt::operator%=
BigInt & operator%=(const BigInt &y)
Definition: big_ops2.cpp:145
Botan::BigInt::size
size_t size() const
Definition: bigint.h:284
Botan::copy_mem
void copy_mem(T *out, const T *in, size_t n)
Definition: mem_ops.h:22
Botan
Definition: algo_base.h:14
Botan::BigInt::sig_words
size_t sig_words() const
Definition: bigint.h:290
Botan::CT::max
T max(T a, T b)
Definition: ct_utils.h:120
Botan::BigInt::operator/=
BigInt & operator/=(const BigInt &y)
Definition: big_ops2.cpp:133
Botan::BigInt::clear
void clear()
Definition: bigint.h:143
Botan::power_of_2
bool power_of_2(T arg)
Definition: bit_ops.h:21
Botan::BigInt::operator-=
BigInt & operator-=(const BigInt &y)
Definition: big_ops2.cpp:53
Botan::MemoryRegion::size
size_t size() const
Definition: secmem.h:29
Botan::bigint_shl1
void bigint_shl1(word x[], size_t x_size, size_t word_shift, size_t bit_shift)
Definition: mp_shift.cpp:18
Botan::bigint_mul
void bigint_mul(word z[], size_t z_size, word workspace[], const word x[], size_t x_size, size_t x_sw, const word y[], size_t y_size, size_t y_sw)
Definition: mp_karat.cpp:249
Botan::BigInt::grow_to
void grow_to(size_t n)
Definition: bigint.cpp:123
Botan::bigint_add2
void bigint_add2(word x[], size_t x_size, const word y[], size_t y_size)
Definition: mp_asm.cpp:139
Botan::SecureVector< word >
Botan::BigInt::set_sign
void set_sign(Sign sign)
Definition: bigint.cpp:291
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void zeroise(MemoryRegion< T > &vec)
Definition: secmem.h:415
Botan::bigint_cmp
s32bit bigint_cmp(const word x[], size_t x_size, const word y[], size_t y_size)
Definition: mp_misc.cpp:41
Botan::BigInt::DivideByZero
Definition: bigint.h:43
Botan::BigInt::operator+=
BigInt & operator+=(const BigInt &y)
Definition: big_ops2.cpp:18
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word bigint_modop(word n1, word n0, word d)
Definition: mp_misc.cpp:92
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const size_t MP_WORD_BITS
Definition: mp_core.h:18