26 #if !defined(POLARSSL_CONFIG_FILE)
29 #include POLARSSL_CONFIG_FILE
32 #if defined(POLARSSL_ECP_C)
36 #if defined(_MSC_VER) && !defined(inline)
37 #define inline _inline
39 #if defined(__ARMCC_VERSION) && !defined(inline)
40 #define inline __inline
48 #if defined(POLARSSL_HAVE_INT8)
50 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
51 a, b, c, d, e, f, g, h
53 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
56 #define BYTES_TO_T_UINT_2( a, b ) \
59 #elif defined(POLARSSL_HAVE_INT16)
61 #define BYTES_TO_T_UINT_2( a, b ) \
62 ( (t_uint) a << 0 ) | \
65 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
66 BYTES_TO_T_UINT_2( a, b ), \
67 BYTES_TO_T_UINT_2( c, d )
69 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
70 BYTES_TO_T_UINT_2( a, b ), \
71 BYTES_TO_T_UINT_2( c, d ), \
72 BYTES_TO_T_UINT_2( e, f ), \
73 BYTES_TO_T_UINT_2( g, h )
75 #elif defined(POLARSSL_HAVE_INT32)
77 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
78 ( (t_uint) a << 0 ) | \
79 ( (t_uint) b << 8 ) | \
80 ( (t_uint) c << 16 ) | \
83 #define BYTES_TO_T_UINT_2( a, b ) \
84 BYTES_TO_T_UINT_4( a, b, 0, 0 )
86 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
87 BYTES_TO_T_UINT_4( a, b, c, d ), \
88 BYTES_TO_T_UINT_4( e, f, g, h )
92 #define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
93 ( (t_uint) a << 0 ) | \
94 ( (t_uint) b << 8 ) | \
95 ( (t_uint) c << 16 ) | \
96 ( (t_uint) d << 24 ) | \
97 ( (t_uint) e << 32 ) | \
98 ( (t_uint) f << 40 ) | \
99 ( (t_uint) g << 48 ) | \
102 #define BYTES_TO_T_UINT_4( a, b, c, d ) \
103 BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
105 #define BYTES_TO_T_UINT_2( a, b ) \
106 BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
118 #if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
119 static const t_uint secp192r1_p[] = {
120 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
121 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
122 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
124 static const t_uint secp192r1_b[] = {
125 BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
126 BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
127 BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
129 static const t_uint secp192r1_gx[] = {
130 BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
131 BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
132 BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
134 static const t_uint secp192r1_gy[] = {
135 BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
136 BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
137 BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
139 static const t_uint secp192r1_n[] = {
140 BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
141 BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
142 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
149 #if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
150 static const t_uint secp224r1_p[] = {
151 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
152 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
153 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
154 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
156 static const t_uint secp224r1_b[] = {
157 BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
158 BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
159 BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
160 BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
162 static const t_uint secp224r1_gx[] = {
163 BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
164 BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
165 BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
166 BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
168 static const t_uint secp224r1_gy[] = {
169 BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
170 BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
171 BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
172 BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
174 static const t_uint secp224r1_n[] = {
175 BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
176 BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
177 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
178 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
185 #if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
186 static const t_uint secp256r1_p[] = {
187 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
188 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
189 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
190 BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
192 static const t_uint secp256r1_b[] = {
193 BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
194 BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
195 BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
196 BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
198 static const t_uint secp256r1_gx[] = {
199 BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
200 BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
201 BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
202 BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
204 static const t_uint secp256r1_gy[] = {
205 BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
206 BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
207 BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
208 BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
210 static const t_uint secp256r1_n[] = {
211 BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
212 BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
213 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
214 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
221 #if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
222 static const t_uint secp384r1_p[] = {
223 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
224 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
225 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
226 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
227 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
228 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
230 static const t_uint secp384r1_b[] = {
231 BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
232 BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
233 BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
234 BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
235 BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
236 BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
238 static const t_uint secp384r1_gx[] = {
239 BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
240 BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
241 BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
242 BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
243 BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
244 BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
246 static const t_uint secp384r1_gy[] = {
247 BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
248 BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
249 BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
250 BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
251 BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
252 BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
254 static const t_uint secp384r1_n[] = {
255 BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
256 BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
257 BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
258 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
259 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
260 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
267 #if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
268 static const t_uint secp521r1_p[] = {
269 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
270 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
271 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
272 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
273 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
274 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
275 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
276 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
277 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
279 static const t_uint secp521r1_b[] = {
280 BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
281 BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
282 BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
283 BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
284 BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
285 BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
286 BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
287 BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
288 BYTES_TO_T_UINT_2( 0x51, 0x00 ),
290 static const t_uint secp521r1_gx[] = {
291 BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
292 BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
293 BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
294 BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
295 BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
296 BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
297 BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
298 BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
299 BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
301 static const t_uint secp521r1_gy[] = {
302 BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
303 BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
304 BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
305 BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
306 BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
307 BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
308 BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
309 BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
310 BYTES_TO_T_UINT_2( 0x18, 0x01 ),
312 static const t_uint secp521r1_n[] = {
313 BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
314 BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
315 BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
316 BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
317 BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
318 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
319 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
320 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
321 BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
325 #if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
326 static const t_uint secp192k1_p[] = {
327 BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
328 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
329 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
331 static const t_uint secp192k1_a[] = {
332 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
334 static const t_uint secp192k1_b[] = {
335 BYTES_TO_T_UINT_2( 0x03, 0x00 ),
337 static const t_uint secp192k1_gx[] = {
338 BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
339 BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
340 BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
342 static const t_uint secp192k1_gy[] = {
343 BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
344 BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
345 BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
347 static const t_uint secp192k1_n[] = {
348 BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
349 BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
350 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
354 #if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
355 static const t_uint secp224k1_p[] = {
356 BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
357 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
358 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
359 BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
361 static const t_uint secp224k1_a[] = {
362 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
364 static const t_uint secp224k1_b[] = {
365 BYTES_TO_T_UINT_2( 0x05, 0x00 ),
367 static const t_uint secp224k1_gx[] = {
368 BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
369 BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
370 BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
371 BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
373 static const t_uint secp224k1_gy[] = {
374 BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
375 BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
376 BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
377 BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
379 static const t_uint secp224k1_n[] = {
380 BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
381 BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
382 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
383 BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
387 #if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
388 static const t_uint secp256k1_p[] = {
389 BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
390 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
391 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
392 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
394 static const t_uint secp256k1_a[] = {
395 BYTES_TO_T_UINT_2( 0x00, 0x00 ),
397 static const t_uint secp256k1_b[] = {
398 BYTES_TO_T_UINT_2( 0x07, 0x00 ),
400 static const t_uint secp256k1_gx[] = {
401 BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
402 BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
403 BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
404 BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
406 static const t_uint secp256k1_gy[] = {
407 BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
408 BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
409 BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
410 BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
412 static const t_uint secp256k1_n[] = {
413 BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
414 BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
415 BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
416 BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
423 #if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)
424 static const t_uint brainpoolP256r1_p[] = {
425 BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
426 BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
427 BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
428 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
430 static const t_uint brainpoolP256r1_a[] = {
431 BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
432 BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
433 BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
434 BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
436 static const t_uint brainpoolP256r1_b[] = {
437 BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
438 BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
439 BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
440 BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
442 static const t_uint brainpoolP256r1_gx[] = {
443 BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
444 BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
445 BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
446 BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
448 static const t_uint brainpoolP256r1_gy[] = {
449 BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
450 BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
451 BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
452 BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
454 static const t_uint brainpoolP256r1_n[] = {
455 BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
456 BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
457 BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
458 BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
465 #if defined(POLARSSL_ECP_DP_BP384R1_ENABLED)
466 static const t_uint brainpoolP384r1_p[] = {
467 BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
468 BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
469 BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
470 BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
471 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
472 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
474 static const t_uint brainpoolP384r1_a[] = {
475 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
476 BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
477 BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
478 BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
479 BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
480 BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
482 static const t_uint brainpoolP384r1_b[] = {
483 BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
484 BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
485 BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
486 BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
487 BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
488 BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
490 static const t_uint brainpoolP384r1_gx[] = {
491 BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
492 BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
493 BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
494 BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
495 BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
496 BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
498 static const t_uint brainpoolP384r1_gy[] = {
499 BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
500 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
501 BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
502 BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
503 BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
504 BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
506 static const t_uint brainpoolP384r1_n[] = {
507 BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
508 BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
509 BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
510 BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
511 BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
512 BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
519 #if defined(POLARSSL_ECP_DP_BP512R1_ENABLED)
520 static const t_uint brainpoolP512r1_p[] = {
521 BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
522 BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
523 BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
524 BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
525 BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
526 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
527 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
528 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
530 static const t_uint brainpoolP512r1_a[] = {
531 BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
532 BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
533 BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
534 BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
535 BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
536 BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
537 BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
538 BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
540 static const t_uint brainpoolP512r1_b[] = {
541 BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
542 BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
543 BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
544 BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
545 BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
546 BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
547 BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
548 BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
550 static const t_uint brainpoolP512r1_gx[] = {
551 BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
552 BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
553 BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
554 BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
555 BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
556 BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
557 BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
558 BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
560 static const t_uint brainpoolP512r1_gy[] = {
561 BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
562 BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
563 BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
564 BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
565 BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
566 BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
567 BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
568 BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
570 static const t_uint brainpoolP512r1_n[] = {
571 BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
572 BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
573 BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
574 BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
575 BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
576 BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
577 BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
578 BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
586 static inline void ecp_mpi_load(
mpi *X,
const t_uint *p,
size_t len )
596 static inline void ecp_mpi_set1(
mpi *X )
598 static t_uint one[] = { 1 };
607 static int ecp_group_load(
ecp_group *grp,
608 const t_uint *p,
size_t plen,
609 const t_uint *a,
size_t alen,
610 const t_uint *b,
size_t blen,
611 const t_uint *gx,
size_t gxlen,
612 const t_uint *gy,
size_t gylen,
613 const t_uint *n,
size_t nlen)
615 ecp_mpi_load( &grp->
P, p, plen );
617 ecp_mpi_load( &grp->
A, a, alen );
618 ecp_mpi_load( &grp->
B, b, blen );
619 ecp_mpi_load( &grp->
N, n, nlen );
621 ecp_mpi_load( &grp->
G.
X, gx, gxlen );
622 ecp_mpi_load( &grp->
G.
Y, gy, gylen );
623 ecp_mpi_set1( &grp->
G.
Z );
633 #if defined(POLARSSL_ECP_NIST_OPTIM)
635 #if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
636 static int ecp_mod_p192(
mpi * );
638 #if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
639 static int ecp_mod_p224(
mpi * );
641 #if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
642 static int ecp_mod_p256(
mpi * );
644 #if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
645 static int ecp_mod_p384(
mpi * );
647 #if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
648 static int ecp_mod_p521(
mpi * );
651 #define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
653 #define NIST_MODP( P )
657 #if defined(POLARSSL_ECP_DP_M255_ENABLED)
658 static int ecp_mod_p255(
mpi * );
660 #if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
661 static int ecp_mod_p192k1(
mpi * );
663 #if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
664 static int ecp_mod_p224k1(
mpi * );
666 #if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
667 static int ecp_mod_p256k1(
mpi * );
670 #define LOAD_GROUP_A( G ) ecp_group_load( grp, \
671 G ## _p, sizeof( G ## _p ), \
672 G ## _a, sizeof( G ## _a ), \
673 G ## _b, sizeof( G ## _b ), \
674 G ## _gx, sizeof( G ## _gx ), \
675 G ## _gy, sizeof( G ## _gy ), \
676 G ## _n, sizeof( G ## _n ) )
678 #define LOAD_GROUP( G ) ecp_group_load( grp, \
679 G ## _p, sizeof( G ## _p ), \
681 G ## _b, sizeof( G ## _b ), \
682 G ## _gx, sizeof( G ## _gx ), \
683 G ## _gy, sizeof( G ## _gy ), \
684 G ## _n, sizeof( G ## _n ) )
686 #if defined(POLARSSL_ECP_DP_M255_ENABLED)
690 static int ecp_use_curve25519(
ecp_group *grp )
731 #if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
734 return( LOAD_GROUP( secp192r1 ) );
737 #if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
740 return( LOAD_GROUP( secp224r1 ) );
743 #if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
746 return( LOAD_GROUP( secp256r1 ) );
749 #if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
752 return( LOAD_GROUP( secp384r1 ) );
755 #if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
758 return( LOAD_GROUP( secp521r1 ) );
761 #if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
763 grp->
modp = ecp_mod_p192k1;
764 return( LOAD_GROUP_A( secp192k1 ) );
767 #if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
769 grp->
modp = ecp_mod_p224k1;
770 return( LOAD_GROUP_A( secp224k1 ) );
773 #if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
775 grp->
modp = ecp_mod_p256k1;
776 return( LOAD_GROUP_A( secp256k1 ) );
779 #if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)
781 return( LOAD_GROUP_A( brainpoolP256r1 ) );
784 #if defined(POLARSSL_ECP_DP_BP384R1_ENABLED)
786 return( LOAD_GROUP_A( brainpoolP384r1 ) );
789 #if defined(POLARSSL_ECP_DP_BP512R1_ENABLED)
791 return( LOAD_GROUP_A( brainpoolP512r1 ) );
794 #if defined(POLARSSL_ECP_DP_M255_ENABLED)
796 grp->
modp = ecp_mod_p255;
797 return( ecp_use_curve25519( grp ) );
806 #if defined(POLARSSL_ECP_NIST_OPTIM)
817 #if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
835 for( i = 0; i < 8 /
sizeof(
t_uint ); i++, dst++, src++ )
837 *dst += c; c = ( *dst < c );
838 *dst += *src; c += ( *dst < *src );
844 static inline void carry64(
t_uint *dst,
t_uint *carry )
847 for( i = 0; i < 8 /
sizeof(
t_uint ); i++, dst++ )
850 *carry = ( *dst < *carry );
854 #define WIDTH 8 / sizeof( t_uint )
855 #define A( i ) N->p + i * WIDTH
856 #define ADD( i ) add64( p, A( i ), &c )
857 #define NEXT p += WIDTH; carry64( p, &c )
858 #define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
863 static int ecp_mod_p192(
mpi *N )
875 ADD( 3 ); ADD( 5 ); NEXT;
876 ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT;
877 ADD( 4 ); ADD( 5 ); LAST;
890 #if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED) || \
891 defined(POLARSSL_ECP_DP_SECP256R1_ENABLED) || \
892 defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
909 #define LOAD32 cur = A( i );
911 #if defined(POLARSSL_HAVE_INT8)
913 #define MAX32 N->n / 4
914 #define A( j ) (uint32_t)( N->p[4*j+0] ) | \
915 ( N->p[4*j+1] << 8 ) | \
916 ( N->p[4*j+2] << 16 ) | \
917 ( N->p[4*j+3] << 24 )
918 #define STORE32 N->p[4*i+0] = (t_uint)( cur ); \
919 N->p[4*i+1] = (t_uint)( cur >> 8 ); \
920 N->p[4*i+2] = (t_uint)( cur >> 16 ); \
921 N->p[4*i+3] = (t_uint)( cur >> 24 );
923 #elif defined(POLARSSL_HAVE_INT16)
925 #define MAX32 N->n / 2
926 #define A( j ) (uint32_t)( N->p[2*j] ) | ( N->p[2*j+1] << 16 )
927 #define STORE32 N->p[2*i+0] = (t_uint)( cur ); \
928 N->p[2*i+1] = (t_uint)( cur >> 16 );
930 #elif defined(POLARSSL_HAVE_INT32)
933 #define A( j ) N->p[j]
934 #define STORE32 N->p[i] = cur;
938 #define MAX32 N->n * 2
939 #define A( j ) j % 2 ? (uint32_t)( N->p[j/2] >> 32 ) : (uint32_t)( N->p[j/2] )
942 N->p[i/2] &= 0x00000000FFFFFFFF; \
943 N->p[i/2] |= ((t_uint) cur) << 32; \
945 N->p[i/2] &= 0xFFFFFFFF00000000; \
946 N->p[i/2] |= (t_uint) cur; \
954 static inline void add32( uint32_t *dst, uint32_t src,
signed char *carry )
957 *carry += ( *dst < src );
960 static inline void sub32( uint32_t *dst, uint32_t src,
signed char *carry )
962 *carry -= ( *dst < src );
966 #define ADD( j ) add32( &cur, A( j ), &c );
967 #define SUB( j ) sub32( &cur, A( j ), &c );
975 signed char c = 0, cc; \
977 size_t i = 0, bits = b; \
979 t_uint Cp[ b / 8 / sizeof( t_uint) + 1 ]; \
982 C.n = b / 8 / sizeof( t_uint) + 1; \
984 memset( Cp, 0, C.n * sizeof( t_uint ) ); \
986 MPI_CHK( mpi_grow( N, b * 2 / 8 / sizeof( t_uint ) ) ); \
990 STORE32; i++; LOAD32; \
993 sub32( &cur, -cc, &c ); \
995 add32( &cur, cc, &c ); \
999 cur = c > 0 ? c : 0; STORE32; \
1000 cur = 0; while( ++i < MAX32 ) { STORE32; } \
1001 if( c < 0 ) fix_negative( N, c, &C, bits );
1007 static inline int fix_negative(
mpi *N,
signed char c,
mpi *C,
size_t bits )
1012 #if !defined(POLARSSL_HAVE_INT64)
1016 C->
p[ C->
n - 1 ] = ((
t_uint) -c) << 32;
1030 #if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
1034 static int ecp_mod_p224(
mpi *N )
1038 SUB( 7 ); SUB( 11 ); NEXT;
1039 SUB( 8 ); SUB( 12 ); NEXT;
1040 SUB( 9 ); SUB( 13 ); NEXT;
1041 SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT;
1042 SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT;
1043 SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT;
1044 SUB( 13 ); ADD( 10 ); LAST;
1051 #if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
1055 static int ecp_mod_p256(
mpi *N )
1060 SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT;
1062 ADD( 9 ); ADD( 10 );
1063 SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT;
1065 ADD( 10 ); ADD( 11 );
1066 SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT;
1068 ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
1069 SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT;
1071 ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
1072 SUB( 9 ); SUB( 10 ); NEXT;
1074 ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
1075 SUB( 10 ); SUB( 11 ); NEXT;
1077 ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
1078 SUB( 8 ); SUB( 9 ); NEXT;
1080 ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
1081 SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST;
1088 #if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
1092 static int ecp_mod_p384(
mpi *N )
1096 ADD( 12 ); ADD( 21 ); ADD( 20 );
1099 ADD( 13 ); ADD( 22 ); ADD( 23 );
1100 SUB( 12 ); SUB( 20 ); NEXT;
1102 ADD( 14 ); ADD( 23 );
1103 SUB( 13 ); SUB( 21 ); NEXT;
1105 ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
1106 SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT;
1108 ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
1109 SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT;
1111 ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
1114 ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
1117 ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
1120 ADD( 20 ); ADD( 17 ); ADD( 16 );
1123 ADD( 21 ); ADD( 18 ); ADD( 17 );
1126 ADD( 22 ); ADD( 19 ); ADD( 18 );
1129 ADD( 23 ); ADD( 20 ); ADD( 19 );
1149 #if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
1156 #define P521_WIDTH ( 521 / 8 / sizeof( t_uint ) + 1 )
1159 #if defined(POLARSSL_HAVE_INT8)
1160 #define P521_MASK 0x01
1162 #define P521_MASK 0x01FF
1169 static int ecp_mod_p521(
mpi *N )
1174 t_uint Mp[P521_WIDTH + 1];
1179 if( N->
n < P521_WIDTH )
1184 M.
n = N->
n - ( P521_WIDTH - 1 );
1185 if( M.
n > P521_WIDTH + 1 )
1186 M.
n = P521_WIDTH + 1;
1188 memcpy( Mp, N->
p + P521_WIDTH - 1, M.
n *
sizeof(
t_uint ) );
1192 N->
p[P521_WIDTH - 1] &= P521_MASK;
1193 for( i = P521_WIDTH; i < N->
n; i++ )
1209 #if defined(POLARSSL_ECP_DP_M255_ENABLED)
1212 #define P255_WIDTH ( 255 / 8 / sizeof( t_uint ) + 1 )
1218 static int ecp_mod_p255(
mpi *N )
1223 t_uint Mp[P255_WIDTH + 2];
1225 if( N->
n < P255_WIDTH )
1230 M.
n = N->
n - ( P255_WIDTH - 1 );
1231 if( M.
n > P255_WIDTH + 1 )
1232 M.
n = P255_WIDTH + 1;
1234 memset( Mp, 0,
sizeof Mp );
1235 memcpy( Mp, N->
p + P255_WIDTH - 1, M.
n *
sizeof(
t_uint ) );
1241 for( i = P255_WIDTH; i < N->
n; i++ )
1253 #if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED) || \
1254 defined(POLARSSL_ECP_DP_SECP224K1_ENABLED) || \
1255 defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
1263 #define P_KOBLITZ_MAX ( 256 / 8 / sizeof( t_uint ) ) // Max limbs in P
1264 #define P_KOBLITZ_R ( 8 / sizeof( t_uint ) ) // Limbs in R
1265 static inline int ecp_mod_koblitz(
mpi *N,
t_uint *Rp,
size_t p_limbs,
1266 size_t adjust,
size_t shift,
t_uint mask )
1271 t_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R];
1273 if( N->
n < p_limbs )
1286 M.
n = N->
n - ( p_limbs - adjust );
1287 if( M.
n > p_limbs + adjust )
1288 M.
n = p_limbs + adjust;
1289 memset( Mp, 0,
sizeof Mp );
1290 memcpy( Mp, N->
p + p_limbs - adjust, M.
n *
sizeof(
t_uint ) );
1293 M.
n += R.
n - adjust;
1297 N->
p[p_limbs - 1] &= mask;
1298 for( i = p_limbs; i < N->
n; i++ )
1308 M.
n = N->
n - ( p_limbs - adjust );
1309 if( M.
n > p_limbs + adjust )
1310 M.
n = p_limbs + adjust;
1311 memset( Mp, 0,
sizeof Mp );
1312 memcpy( Mp, N->
p + p_limbs - adjust, M.
n *
sizeof(
t_uint ) );
1315 M.
n += R.
n - adjust;
1319 N->
p[p_limbs - 1] &= mask;
1320 for( i = p_limbs; i < N->
n; i++ )
1334 #if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
1339 static int ecp_mod_p192k1(
mpi *N )
1342 BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
1344 return( ecp_mod_koblitz( N, Rp, 192 / 8 /
sizeof(
t_uint ), 0, 0, 0 ) );
1348 #if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
1353 static int ecp_mod_p224k1(
mpi *N )
1356 BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
1358 #if defined(POLARSSL_HAVE_INT64)
1359 return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
1361 return( ecp_mod_koblitz( N, Rp, 224 / 8 /
sizeof(
t_uint ), 0, 0, 0 ) );
1367 #if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
1372 static int ecp_mod_p256k1(
mpi *N )
1375 BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
1376 return( ecp_mod_koblitz( N, Rp, 256 / 8 /
sizeof(
t_uint ), 0, 0, 0 ) );