1 | /* |
2 | Copyright (C) 1999-2007 The Botan Project. All rights reserved. |
3 | |
4 | Redistribution and use in source and binary forms, for any use, with or without |
5 | modification, is permitted provided that the following conditions are met: |
6 | |
7 | 1. Redistributions of source code must retain the above copyright notice, this |
8 | list of conditions, and the following disclaimer. |
9 | |
10 | 2. Redistributions in binary form must reproduce the above copyright notice, |
11 | this list of conditions, and the following disclaimer in the documentation |
12 | and/or other materials provided with the distribution. |
13 | |
14 | THIS SOFTWARE IS PROVIDED BY THE AUTHOR(S) "AS IS" AND ANY EXPRESS OR IMPLIED |
15 | WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF |
16 | MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE DISCLAIMED. |
17 | |
18 | IN NO EVENT SHALL THE AUTHOR(S) OR CONTRIBUTOR(S) BE LIABLE FOR ANY DIRECT, |
19 | INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
20 | BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
21 | DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF |
22 | LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE |
23 | OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF |
24 | ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
25 | */ |
26 | // LICENSEHEADER_END |
27 | namespace QCA { // WRAPNS_LINE |
28 | /************************************************* |
29 | * BigInt Binary Operators Source File * |
30 | * (C) 1999-2007 The Botan Project * |
31 | *************************************************/ |
32 | |
33 | } // WRAPNS_LINE |
34 | #include <botan/bigint.h> |
35 | namespace QCA { // WRAPNS_LINE |
36 | } // WRAPNS_LINE |
37 | #include <botan/numthry.h> |
38 | namespace QCA { // WRAPNS_LINE |
39 | } // WRAPNS_LINE |
40 | #include <botan/mp_core.h> |
41 | namespace QCA { // WRAPNS_LINE |
42 | } // WRAPNS_LINE |
43 | #include <botan/bit_ops.h> |
44 | namespace QCA { // WRAPNS_LINE |
45 | } // WRAPNS_LINE |
46 | #include <algorithm> |
47 | namespace QCA { // WRAPNS_LINE |
48 | |
49 | namespace Botan { |
50 | |
51 | /************************************************* |
52 | * Addition Operator * |
53 | *************************************************/ |
54 | BigInt operator+(const BigInt &x, const BigInt &y) |
55 | { |
56 | const u32bit x_sw = x.sig_words(), y_sw = y.sig_words(); |
57 | |
58 | #ifdef BOTAN_TYPES_QT |
59 | BigInt z(x.sign(), qMax(a: x_sw, b: y_sw) + 1); |
60 | #else |
61 | BigInt z(x.sign(), std::max(x_sw, y_sw) + 1); |
62 | #endif |
63 | |
64 | if ((x.sign() == y.sign())) |
65 | bigint_add3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); |
66 | else { |
67 | s32bit relative_size = bigint_cmp(x.data(), x_sw, y.data(), y_sw); |
68 | |
69 | if (relative_size < 0) { |
70 | bigint_sub3(z.get_reg(), y.data(), y_sw, x.data(), x_sw); |
71 | z.set_sign(y.sign()); |
72 | } else if (relative_size == 0) |
73 | z.set_sign(BigInt::Positive); |
74 | else if (relative_size > 0) |
75 | bigint_sub3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); |
76 | } |
77 | |
78 | return z; |
79 | } |
80 | |
81 | /************************************************* |
82 | * Subtraction Operator * |
83 | *************************************************/ |
84 | BigInt operator-(const BigInt &x, const BigInt &y) |
85 | { |
86 | const u32bit x_sw = x.sig_words(), y_sw = y.sig_words(); |
87 | |
88 | s32bit relative_size = bigint_cmp(x.data(), x_sw, y.data(), y_sw); |
89 | |
90 | #ifdef BOTAN_TYPES_QT |
91 | BigInt z(BigInt::Positive, qMax(a: x_sw, b: y_sw) + 1); |
92 | #else |
93 | BigInt z(BigInt::Positive, std::max(x_sw, y_sw) + 1); |
94 | #endif |
95 | |
96 | if (relative_size < 0) { |
97 | if (x.sign() == y.sign()) |
98 | bigint_sub3(z.get_reg(), y.data(), y_sw, x.data(), x_sw); |
99 | else |
100 | bigint_add3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); |
101 | z.set_sign(y.reverse_sign()); |
102 | } else if (relative_size == 0) { |
103 | if (x.sign() != y.sign()) |
104 | bigint_shl2(z.get_reg(), x.data(), x_sw, 0, 1); |
105 | } else if (relative_size > 0) { |
106 | if (x.sign() == y.sign()) |
107 | bigint_sub3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); |
108 | else |
109 | bigint_add3(z.get_reg(), x.data(), x_sw, y.data(), y_sw); |
110 | z.set_sign(x.sign()); |
111 | } |
112 | return z; |
113 | } |
114 | |
115 | /************************************************* |
116 | * Multiplication Operator * |
117 | *************************************************/ |
118 | BigInt operator*(const BigInt &x, const BigInt &y) |
119 | { |
120 | const u32bit x_sw = x.sig_words(), y_sw = y.sig_words(); |
121 | |
122 | BigInt z(BigInt::Positive, x.size() + y.size()); |
123 | |
124 | if (x_sw == 1 && y_sw) |
125 | bigint_linmul3(z.get_reg(), y.data(), y_sw, x.word_at(n: 0)); |
126 | else if (y_sw == 1 && x_sw) |
127 | bigint_linmul3(z.get_reg(), x.data(), x_sw, y.word_at(n: 0)); |
128 | else if (x_sw && y_sw) { |
129 | SecureVector<word> workspace(z.size()); |
130 | bigint_mul(z.get_reg(), z.size(), workspace, x.data(), x.size(), x_sw, y.data(), y.size(), y_sw); |
131 | } |
132 | |
133 | if (x_sw && y_sw && x.sign() != y.sign()) |
134 | z.flip_sign(); |
135 | return z; |
136 | } |
137 | |
138 | /************************************************* |
139 | * Division Operator * |
140 | *************************************************/ |
141 | BigInt operator/(const BigInt &x, const BigInt &y) |
142 | { |
143 | BigInt q, r; |
144 | divide(x, y, q, r); |
145 | return q; |
146 | } |
147 | |
148 | /************************************************* |
149 | * Modulo Operator * |
150 | *************************************************/ |
151 | BigInt operator%(const BigInt &n, const BigInt &mod) |
152 | { |
153 | if (mod.is_zero()) |
154 | throw BigInt::DivideByZero(); |
155 | if (mod.is_negative()) |
156 | throw Invalid_Argument("BigInt::operator%: modulus must be > 0" ); |
157 | if (n.is_positive() && mod.is_positive() && n < mod) |
158 | return n; |
159 | |
160 | BigInt q, r; |
161 | divide(n, mod, q, r); |
162 | return r; |
163 | } |
164 | |
165 | /************************************************* |
166 | * Modulo Operator * |
167 | *************************************************/ |
168 | word operator%(const BigInt &n, word mod) |
169 | { |
170 | if (mod == 0) |
171 | throw BigInt::DivideByZero(); |
172 | if (power_of_2(mod)) |
173 | return (n.word_at(n: 0) & (mod - 1)); |
174 | |
175 | word remainder = 0; |
176 | |
177 | for (u32bit j = n.sig_words(); j > 0; --j) |
178 | remainder = bigint_modop(remainder, n.word_at(n: j - 1), mod); |
179 | |
180 | if (remainder && n.sign() == BigInt::Negative) |
181 | return mod - remainder; |
182 | return remainder; |
183 | } |
184 | |
185 | /************************************************* |
186 | * Left Shift Operator * |
187 | *************************************************/ |
188 | BigInt operator<<(const BigInt &x, u32bit shift) |
189 | { |
190 | if (shift == 0) |
191 | return x; |
192 | |
193 | const u32bit shift_words = shift / MP_WORD_BITS, shift_bits = shift % MP_WORD_BITS; |
194 | |
195 | const u32bit x_sw = x.sig_words(); |
196 | |
197 | BigInt y(x.sign(), x_sw + shift_words + (shift_bits ? 1 : 0)); |
198 | bigint_shl2(y.get_reg(), x.data(), x_sw, shift_words, shift_bits); |
199 | return y; |
200 | } |
201 | |
202 | /************************************************* |
203 | * Right Shift Operator * |
204 | *************************************************/ |
205 | BigInt operator>>(const BigInt &x, u32bit shift) |
206 | { |
207 | if (shift == 0) |
208 | return x; |
209 | if (x.bits() <= shift) |
210 | return 0; |
211 | |
212 | const u32bit shift_words = shift / MP_WORD_BITS, shift_bits = shift % MP_WORD_BITS, x_sw = x.sig_words(); |
213 | |
214 | BigInt y(x.sign(), x_sw - shift_words); |
215 | bigint_shr2(y.get_reg(), x.data(), x_sw, shift_words, shift_bits); |
216 | return y; |
217 | } |
218 | |
219 | } |
220 | } // WRAPNS_LINE |
221 | |