diff options
Diffstat (limited to 'vendor/golang.org/x/crypto/ed25519/internal/edwards25519')
-rw-r--r-- | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go | 1422 | ||||
-rw-r--r-- | vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go | 1771 |
2 files changed, 0 insertions, 3193 deletions
diff --git a/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go b/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go deleted file mode 100644 index e39f086..0000000 --- a/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/const.go +++ /dev/null | |||
@@ -1,1422 +0,0 @@ | |||
1 | // Copyright 2016 The Go Authors. All rights reserved. | ||
2 | // Use of this source code is governed by a BSD-style | ||
3 | // license that can be found in the LICENSE file. | ||
4 | |||
5 | package edwards25519 | ||
6 | |||
7 | // These values are from the public domain, “ref10” implementation of ed25519 | ||
8 | // from SUPERCOP. | ||
9 | |||
10 | // d is a constant in the Edwards curve equation. | ||
11 | var d = FieldElement{ | ||
12 | -10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116, | ||
13 | } | ||
14 | |||
15 | // d2 is 2*d. | ||
16 | var d2 = FieldElement{ | ||
17 | -21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199, | ||
18 | } | ||
19 | |||
20 | // SqrtM1 is the square-root of -1 in the field. | ||
21 | var SqrtM1 = FieldElement{ | ||
22 | -32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482, | ||
23 | } | ||
24 | |||
25 | // A is a constant in the Montgomery-form of curve25519. | ||
26 | var A = FieldElement{ | ||
27 | 486662, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
28 | } | ||
29 | |||
30 | // bi contains precomputed multiples of the base-point. See the Ed25519 paper | ||
31 | // for a discussion about how these values are used. | ||
32 | var bi = [8]PreComputedGroupElement{ | ||
33 | { | ||
34 | FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, | ||
35 | FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, | ||
36 | FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}, | ||
37 | }, | ||
38 | { | ||
39 | FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, | ||
40 | FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, | ||
41 | FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}, | ||
42 | }, | ||
43 | { | ||
44 | FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, | ||
45 | FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, | ||
46 | FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}, | ||
47 | }, | ||
48 | { | ||
49 | FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, | ||
50 | FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, | ||
51 | FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}, | ||
52 | }, | ||
53 | { | ||
54 | FieldElement{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877}, | ||
55 | FieldElement{-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951}, | ||
56 | FieldElement{4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784}, | ||
57 | }, | ||
58 | { | ||
59 | FieldElement{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436}, | ||
60 | FieldElement{25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918}, | ||
61 | FieldElement{23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877}, | ||
62 | }, | ||
63 | { | ||
64 | FieldElement{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800}, | ||
65 | FieldElement{-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305}, | ||
66 | FieldElement{-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300}, | ||
67 | }, | ||
68 | { | ||
69 | FieldElement{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876}, | ||
70 | FieldElement{-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619}, | ||
71 | FieldElement{-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683}, | ||
72 | }, | ||
73 | } | ||
74 | |||
75 | // base contains precomputed multiples of the base-point. See the Ed25519 paper | ||
76 | // for a discussion about how these values are used. | ||
77 | var base = [32][8]PreComputedGroupElement{ | ||
78 | { | ||
79 | { | ||
80 | FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, | ||
81 | FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, | ||
82 | FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}, | ||
83 | }, | ||
84 | { | ||
85 | FieldElement{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303}, | ||
86 | FieldElement{-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081}, | ||
87 | FieldElement{26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697}, | ||
88 | }, | ||
89 | { | ||
90 | FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, | ||
91 | FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, | ||
92 | FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}, | ||
93 | }, | ||
94 | { | ||
95 | FieldElement{-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540}, | ||
96 | FieldElement{23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397}, | ||
97 | FieldElement{7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325}, | ||
98 | }, | ||
99 | { | ||
100 | FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, | ||
101 | FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, | ||
102 | FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}, | ||
103 | }, | ||
104 | { | ||
105 | FieldElement{-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777}, | ||
106 | FieldElement{-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737}, | ||
107 | FieldElement{-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652}, | ||
108 | }, | ||
109 | { | ||
110 | FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, | ||
111 | FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, | ||
112 | FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}, | ||
113 | }, | ||
114 | { | ||
115 | FieldElement{14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726}, | ||
116 | FieldElement{-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955}, | ||
117 | FieldElement{27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425}, | ||
118 | }, | ||
119 | }, | ||
120 | { | ||
121 | { | ||
122 | FieldElement{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171}, | ||
123 | FieldElement{27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510}, | ||
124 | FieldElement{17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660}, | ||
125 | }, | ||
126 | { | ||
127 | FieldElement{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639}, | ||
128 | FieldElement{29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963}, | ||
129 | FieldElement{5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950}, | ||
130 | }, | ||
131 | { | ||
132 | FieldElement{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568}, | ||
133 | FieldElement{12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335}, | ||
134 | FieldElement{25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628}, | ||
135 | }, | ||
136 | { | ||
137 | FieldElement{-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007}, | ||
138 | FieldElement{-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772}, | ||
139 | FieldElement{-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653}, | ||
140 | }, | ||
141 | { | ||
142 | FieldElement{2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567}, | ||
143 | FieldElement{13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686}, | ||
144 | FieldElement{21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372}, | ||
145 | }, | ||
146 | { | ||
147 | FieldElement{-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887}, | ||
148 | FieldElement{-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954}, | ||
149 | FieldElement{-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953}, | ||
150 | }, | ||
151 | { | ||
152 | FieldElement{24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833}, | ||
153 | FieldElement{-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532}, | ||
154 | FieldElement{-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876}, | ||
155 | }, | ||
156 | { | ||
157 | FieldElement{2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268}, | ||
158 | FieldElement{33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214}, | ||
159 | FieldElement{1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038}, | ||
160 | }, | ||
161 | }, | ||
162 | { | ||
163 | { | ||
164 | FieldElement{6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800}, | ||
165 | FieldElement{4409041, 2052381, 23373853, 10530217, 7676779, -12885954, 21302353, -4264057, 1244380, -12919645}, | ||
166 | FieldElement{-4421239, 7169619, 4982368, -2957590, 30256825, -2777540, 14086413, 9208236, 15886429, 16489664}, | ||
167 | }, | ||
168 | { | ||
169 | FieldElement{1996075, 10375649, 14346367, 13311202, -6874135, -16438411, -13693198, 398369, -30606455, -712933}, | ||
170 | FieldElement{-25307465, 9795880, -2777414, 14878809, -33531835, 14780363, 13348553, 12076947, -30836462, 5113182}, | ||
171 | FieldElement{-17770784, 11797796, 31950843, 13929123, -25888302, 12288344, -30341101, -7336386, 13847711, 5387222}, | ||
172 | }, | ||
173 | { | ||
174 | FieldElement{-18582163, -3416217, 17824843, -2340966, 22744343, -10442611, 8763061, 3617786, -19600662, 10370991}, | ||
175 | FieldElement{20246567, -14369378, 22358229, -543712, 18507283, -10413996, 14554437, -8746092, 32232924, 16763880}, | ||
176 | FieldElement{9648505, 10094563, 26416693, 14745928, -30374318, -6472621, 11094161, 15689506, 3140038, -16510092}, | ||
177 | }, | ||
178 | { | ||
179 | FieldElement{-16160072, 5472695, 31895588, 4744994, 8823515, 10365685, -27224800, 9448613, -28774454, 366295}, | ||
180 | FieldElement{19153450, 11523972, -11096490, -6503142, -24647631, 5420647, 28344573, 8041113, 719605, 11671788}, | ||
181 | FieldElement{8678025, 2694440, -6808014, 2517372, 4964326, 11152271, -15432916, -15266516, 27000813, -10195553}, | ||
182 | }, | ||
183 | { | ||
184 | FieldElement{-15157904, 7134312, 8639287, -2814877, -7235688, 10421742, 564065, 5336097, 6750977, -14521026}, | ||
185 | FieldElement{11836410, -3979488, 26297894, 16080799, 23455045, 15735944, 1695823, -8819122, 8169720, 16220347}, | ||
186 | FieldElement{-18115838, 8653647, 17578566, -6092619, -8025777, -16012763, -11144307, -2627664, -5990708, -14166033}, | ||
187 | }, | ||
188 | { | ||
189 | FieldElement{-23308498, -10968312, 15213228, -10081214, -30853605, -11050004, 27884329, 2847284, 2655861, 1738395}, | ||
190 | FieldElement{-27537433, -14253021, -25336301, -8002780, -9370762, 8129821, 21651608, -3239336, -19087449, -11005278}, | ||
191 | FieldElement{1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092, 5821408, 10478196, 8544890}, | ||
192 | }, | ||
193 | { | ||
194 | FieldElement{32173121, -16129311, 24896207, 3921497, 22579056, -3410854, 19270449, 12217473, 17789017, -3395995}, | ||
195 | FieldElement{-30552961, -2228401, -15578829, -10147201, 13243889, 517024, 15479401, -3853233, 30460520, 1052596}, | ||
196 | FieldElement{-11614875, 13323618, 32618793, 8175907, -15230173, 12596687, 27491595, -4612359, 3179268, -9478891}, | ||
197 | }, | ||
198 | { | ||
199 | FieldElement{31947069, -14366651, -4640583, -15339921, -15125977, -6039709, -14756777, -16411740, 19072640, -9511060}, | ||
200 | FieldElement{11685058, 11822410, 3158003, -13952594, 33402194, -4165066, 5977896, -5215017, 473099, 5040608}, | ||
201 | FieldElement{-20290863, 8198642, -27410132, 11602123, 1290375, -2799760, 28326862, 1721092, -19558642, -3131606}, | ||
202 | }, | ||
203 | }, | ||
204 | { | ||
205 | { | ||
206 | FieldElement{7881532, 10687937, 7578723, 7738378, -18951012, -2553952, 21820786, 8076149, -27868496, 11538389}, | ||
207 | FieldElement{-19935666, 3899861, 18283497, -6801568, -15728660, -11249211, 8754525, 7446702, -5676054, 5797016}, | ||
208 | FieldElement{-11295600, -3793569, -15782110, -7964573, 12708869, -8456199, 2014099, -9050574, -2369172, -5877341}, | ||
209 | }, | ||
210 | { | ||
211 | FieldElement{-22472376, -11568741, -27682020, 1146375, 18956691, 16640559, 1192730, -3714199, 15123619, 10811505}, | ||
212 | FieldElement{14352098, -3419715, -18942044, 10822655, 32750596, 4699007, -70363, 15776356, -28886779, -11974553}, | ||
213 | FieldElement{-28241164, -8072475, -4978962, -5315317, 29416931, 1847569, -20654173, -16484855, 4714547, -9600655}, | ||
214 | }, | ||
215 | { | ||
216 | FieldElement{15200332, 8368572, 19679101, 15970074, -31872674, 1959451, 24611599, -4543832, -11745876, 12340220}, | ||
217 | FieldElement{12876937, -10480056, 33134381, 6590940, -6307776, 14872440, 9613953, 8241152, 15370987, 9608631}, | ||
218 | FieldElement{-4143277, -12014408, 8446281, -391603, 4407738, 13629032, -7724868, 15866074, -28210621, -8814099}, | ||
219 | }, | ||
220 | { | ||
221 | FieldElement{26660628, -15677655, 8393734, 358047, -7401291, 992988, -23904233, 858697, 20571223, 8420556}, | ||
222 | FieldElement{14620715, 13067227, -15447274, 8264467, 14106269, 15080814, 33531827, 12516406, -21574435, -12476749}, | ||
223 | FieldElement{236881, 10476226, 57258, -14677024, 6472998, 2466984, 17258519, 7256740, 8791136, 15069930}, | ||
224 | }, | ||
225 | { | ||
226 | FieldElement{1276410, -9371918, 22949635, -16322807, -23493039, -5702186, 14711875, 4874229, -30663140, -2331391}, | ||
227 | FieldElement{5855666, 4990204, -13711848, 7294284, -7804282, 1924647, -1423175, -7912378, -33069337, 9234253}, | ||
228 | FieldElement{20590503, -9018988, 31529744, -7352666, -2706834, 10650548, 31559055, -11609587, 18979186, 13396066}, | ||
229 | }, | ||
230 | { | ||
231 | FieldElement{24474287, 4968103, 22267082, 4407354, 24063882, -8325180, -18816887, 13594782, 33514650, 7021958}, | ||
232 | FieldElement{-11566906, -6565505, -21365085, 15928892, -26158305, 4315421, -25948728, -3916677, -21480480, 12868082}, | ||
233 | FieldElement{-28635013, 13504661, 19988037, -2132761, 21078225, 6443208, -21446107, 2244500, -12455797, -8089383}, | ||
234 | }, | ||
235 | { | ||
236 | FieldElement{-30595528, 13793479, -5852820, 319136, -25723172, -6263899, 33086546, 8957937, -15233648, 5540521}, | ||
237 | FieldElement{-11630176, -11503902, -8119500, -7643073, 2620056, 1022908, -23710744, -1568984, -16128528, -14962807}, | ||
238 | FieldElement{23152971, 775386, 27395463, 14006635, -9701118, 4649512, 1689819, 892185, -11513277, -15205948}, | ||
239 | }, | ||
240 | { | ||
241 | FieldElement{9770129, 9586738, 26496094, 4324120, 1556511, -3550024, 27453819, 4763127, -19179614, 5867134}, | ||
242 | FieldElement{-32765025, 1927590, 31726409, -4753295, 23962434, -16019500, 27846559, 5931263, -29749703, -16108455}, | ||
243 | FieldElement{27461885, -2977536, 22380810, 1815854, -23033753, -3031938, 7283490, -15148073, -19526700, 7734629}, | ||
244 | }, | ||
245 | }, | ||
246 | { | ||
247 | { | ||
248 | FieldElement{-8010264, -9590817, -11120403, 6196038, 29344158, -13430885, 7585295, -3176626, 18549497, 15302069}, | ||
249 | FieldElement{-32658337, -6171222, -7672793, -11051681, 6258878, 13504381, 10458790, -6418461, -8872242, 8424746}, | ||
250 | FieldElement{24687205, 8613276, -30667046, -3233545, 1863892, -1830544, 19206234, 7134917, -11284482, -828919}, | ||
251 | }, | ||
252 | { | ||
253 | FieldElement{11334899, -9218022, 8025293, 12707519, 17523892, -10476071, 10243738, -14685461, -5066034, 16498837}, | ||
254 | FieldElement{8911542, 6887158, -9584260, -6958590, 11145641, -9543680, 17303925, -14124238, 6536641, 10543906}, | ||
255 | FieldElement{-28946384, 15479763, -17466835, 568876, -1497683, 11223454, -2669190, -16625574, -27235709, 8876771}, | ||
256 | }, | ||
257 | { | ||
258 | FieldElement{-25742899, -12566864, -15649966, -846607, -33026686, -796288, -33481822, 15824474, -604426, -9039817}, | ||
259 | FieldElement{10330056, 70051, 7957388, -9002667, 9764902, 15609756, 27698697, -4890037, 1657394, 3084098}, | ||
260 | FieldElement{10477963, -7470260, 12119566, -13250805, 29016247, -5365589, 31280319, 14396151, -30233575, 15272409}, | ||
261 | }, | ||
262 | { | ||
263 | FieldElement{-12288309, 3169463, 28813183, 16658753, 25116432, -5630466, -25173957, -12636138, -25014757, 1950504}, | ||
264 | FieldElement{-26180358, 9489187, 11053416, -14746161, -31053720, 5825630, -8384306, -8767532, 15341279, 8373727}, | ||
265 | FieldElement{28685821, 7759505, -14378516, -12002860, -31971820, 4079242, 298136, -10232602, -2878207, 15190420}, | ||
266 | }, | ||
267 | { | ||
268 | FieldElement{-32932876, 13806336, -14337485, -15794431, -24004620, 10940928, 8669718, 2742393, -26033313, -6875003}, | ||
269 | FieldElement{-1580388, -11729417, -25979658, -11445023, -17411874, -10912854, 9291594, -16247779, -12154742, 6048605}, | ||
270 | FieldElement{-30305315, 14843444, 1539301, 11864366, 20201677, 1900163, 13934231, 5128323, 11213262, 9168384}, | ||
271 | }, | ||
272 | { | ||
273 | FieldElement{-26280513, 11007847, 19408960, -940758, -18592965, -4328580, -5088060, -11105150, 20470157, -16398701}, | ||
274 | FieldElement{-23136053, 9282192, 14855179, -15390078, -7362815, -14408560, -22783952, 14461608, 14042978, 5230683}, | ||
275 | FieldElement{29969567, -2741594, -16711867, -8552442, 9175486, -2468974, 21556951, 3506042, -5933891, -12449708}, | ||
276 | }, | ||
277 | { | ||
278 | FieldElement{-3144746, 8744661, 19704003, 4581278, -20430686, 6830683, -21284170, 8971513, -28539189, 15326563}, | ||
279 | FieldElement{-19464629, 10110288, -17262528, -3503892, -23500387, 1355669, -15523050, 15300988, -20514118, 9168260}, | ||
280 | FieldElement{-5353335, 4488613, -23803248, 16314347, 7780487, -15638939, -28948358, 9601605, 33087103, -9011387}, | ||
281 | }, | ||
282 | { | ||
283 | FieldElement{-19443170, -15512900, -20797467, -12445323, -29824447, 10229461, -27444329, -15000531, -5996870, 15664672}, | ||
284 | FieldElement{23294591, -16632613, -22650781, -8470978, 27844204, 11461195, 13099750, -2460356, 18151676, 13417686}, | ||
285 | FieldElement{-24722913, -4176517, -31150679, 5988919, -26858785, 6685065, 1661597, -12551441, 15271676, -15452665}, | ||
286 | }, | ||
287 | }, | ||
288 | { | ||
289 | { | ||
290 | FieldElement{11433042, -13228665, 8239631, -5279517, -1985436, -725718, -18698764, 2167544, -6921301, -13440182}, | ||
291 | FieldElement{-31436171, 15575146, 30436815, 12192228, -22463353, 9395379, -9917708, -8638997, 12215110, 12028277}, | ||
292 | FieldElement{14098400, 6555944, 23007258, 5757252, -15427832, -12950502, 30123440, 4617780, -16900089, -655628}, | ||
293 | }, | ||
294 | { | ||
295 | FieldElement{-4026201, -15240835, 11893168, 13718664, -14809462, 1847385, -15819999, 10154009, 23973261, -12684474}, | ||
296 | FieldElement{-26531820, -3695990, -1908898, 2534301, -31870557, -16550355, 18341390, -11419951, 32013174, -10103539}, | ||
297 | FieldElement{-25479301, 10876443, -11771086, -14625140, -12369567, 1838104, 21911214, 6354752, 4425632, -837822}, | ||
298 | }, | ||
299 | { | ||
300 | FieldElement{-10433389, -14612966, 22229858, -3091047, -13191166, 776729, -17415375, -12020462, 4725005, 14044970}, | ||
301 | FieldElement{19268650, -7304421, 1555349, 8692754, -21474059, -9910664, 6347390, -1411784, -19522291, -16109756}, | ||
302 | FieldElement{-24864089, 12986008, -10898878, -5558584, -11312371, -148526, 19541418, 8180106, 9282262, 10282508}, | ||
303 | }, | ||
304 | { | ||
305 | FieldElement{-26205082, 4428547, -8661196, -13194263, 4098402, -14165257, 15522535, 8372215, 5542595, -10702683}, | ||
306 | FieldElement{-10562541, 14895633, 26814552, -16673850, -17480754, -2489360, -2781891, 6993761, -18093885, 10114655}, | ||
307 | FieldElement{-20107055, -929418, 31422704, 10427861, -7110749, 6150669, -29091755, -11529146, 25953725, -106158}, | ||
308 | }, | ||
309 | { | ||
310 | FieldElement{-4234397, -8039292, -9119125, 3046000, 2101609, -12607294, 19390020, 6094296, -3315279, 12831125}, | ||
311 | FieldElement{-15998678, 7578152, 5310217, 14408357, -33548620, -224739, 31575954, 6326196, 7381791, -2421839}, | ||
312 | FieldElement{-20902779, 3296811, 24736065, -16328389, 18374254, 7318640, 6295303, 8082724, -15362489, 12339664}, | ||
313 | }, | ||
314 | { | ||
315 | FieldElement{27724736, 2291157, 6088201, -14184798, 1792727, 5857634, 13848414, 15768922, 25091167, 14856294}, | ||
316 | FieldElement{-18866652, 8331043, 24373479, 8541013, -701998, -9269457, 12927300, -12695493, -22182473, -9012899}, | ||
317 | FieldElement{-11423429, -5421590, 11632845, 3405020, 30536730, -11674039, -27260765, 13866390, 30146206, 9142070}, | ||
318 | }, | ||
319 | { | ||
320 | FieldElement{3924129, -15307516, -13817122, -10054960, 12291820, -668366, -27702774, 9326384, -8237858, 4171294}, | ||
321 | FieldElement{-15921940, 16037937, 6713787, 16606682, -21612135, 2790944, 26396185, 3731949, 345228, -5462949}, | ||
322 | FieldElement{-21327538, 13448259, 25284571, 1143661, 20614966, -8849387, 2031539, -12391231, -16253183, -13582083}, | ||
323 | }, | ||
324 | { | ||
325 | FieldElement{31016211, -16722429, 26371392, -14451233, -5027349, 14854137, 17477601, 3842657, 28012650, -16405420}, | ||
326 | FieldElement{-5075835, 9368966, -8562079, -4600902, -15249953, 6970560, -9189873, 16292057, -8867157, 3507940}, | ||
327 | FieldElement{29439664, 3537914, 23333589, 6997794, -17555561, -11018068, -15209202, -15051267, -9164929, 6580396}, | ||
328 | }, | ||
329 | }, | ||
330 | { | ||
331 | { | ||
332 | FieldElement{-12185861, -7679788, 16438269, 10826160, -8696817, -6235611, 17860444, -9273846, -2095802, 9304567}, | ||
333 | FieldElement{20714564, -4336911, 29088195, 7406487, 11426967, -5095705, 14792667, -14608617, 5289421, -477127}, | ||
334 | FieldElement{-16665533, -10650790, -6160345, -13305760, 9192020, -1802462, 17271490, 12349094, 26939669, -3752294}, | ||
335 | }, | ||
336 | { | ||
337 | FieldElement{-12889898, 9373458, 31595848, 16374215, 21471720, 13221525, -27283495, -12348559, -3698806, 117887}, | ||
338 | FieldElement{22263325, -6560050, 3984570, -11174646, -15114008, -566785, 28311253, 5358056, -23319780, 541964}, | ||
339 | FieldElement{16259219, 3261970, 2309254, -15534474, -16885711, -4581916, 24134070, -16705829, -13337066, -13552195}, | ||
340 | }, | ||
341 | { | ||
342 | FieldElement{9378160, -13140186, -22845982, -12745264, 28198281, -7244098, -2399684, -717351, 690426, 14876244}, | ||
343 | FieldElement{24977353, -314384, -8223969, -13465086, 28432343, -1176353, -13068804, -12297348, -22380984, 6618999}, | ||
344 | FieldElement{-1538174, 11685646, 12944378, 13682314, -24389511, -14413193, 8044829, -13817328, 32239829, -5652762}, | ||
345 | }, | ||
346 | { | ||
347 | FieldElement{-18603066, 4762990, -926250, 8885304, -28412480, -3187315, 9781647, -10350059, 32779359, 5095274}, | ||
348 | FieldElement{-33008130, -5214506, -32264887, -3685216, 9460461, -9327423, -24601656, 14506724, 21639561, -2630236}, | ||
349 | FieldElement{-16400943, -13112215, 25239338, 15531969, 3987758, -4499318, -1289502, -6863535, 17874574, 558605}, | ||
350 | }, | ||
351 | { | ||
352 | FieldElement{-13600129, 10240081, 9171883, 16131053, -20869254, 9599700, 33499487, 5080151, 2085892, 5119761}, | ||
353 | FieldElement{-22205145, -2519528, -16381601, 414691, -25019550, 2170430, 30634760, -8363614, -31999993, -5759884}, | ||
354 | FieldElement{-6845704, 15791202, 8550074, -1312654, 29928809, -12092256, 27534430, -7192145, -22351378, 12961482}, | ||
355 | }, | ||
356 | { | ||
357 | FieldElement{-24492060, -9570771, 10368194, 11582341, -23397293, -2245287, 16533930, 8206996, -30194652, -5159638}, | ||
358 | FieldElement{-11121496, -3382234, 2307366, 6362031, -135455, 8868177, -16835630, 7031275, 7589640, 8945490}, | ||
359 | FieldElement{-32152748, 8917967, 6661220, -11677616, -1192060, -15793393, 7251489, -11182180, 24099109, -14456170}, | ||
360 | }, | ||
361 | { | ||
362 | FieldElement{5019558, -7907470, 4244127, -14714356, -26933272, 6453165, -19118182, -13289025, -6231896, -10280736}, | ||
363 | FieldElement{10853594, 10721687, 26480089, 5861829, -22995819, 1972175, -1866647, -10557898, -3363451, -6441124}, | ||
364 | FieldElement{-17002408, 5906790, 221599, -6563147, 7828208, -13248918, 24362661, -2008168, -13866408, 7421392}, | ||
365 | }, | ||
366 | { | ||
367 | FieldElement{8139927, -6546497, 32257646, -5890546, 30375719, 1886181, -21175108, 15441252, 28826358, -4123029}, | ||
368 | FieldElement{6267086, 9695052, 7709135, -16603597, -32869068, -1886135, 14795160, -7840124, 13746021, -1742048}, | ||
369 | FieldElement{28584902, 7787108, -6732942, -15050729, 22846041, -7571236, -3181936, -363524, 4771362, -8419958}, | ||
370 | }, | ||
371 | }, | ||
372 | { | ||
373 | { | ||
374 | FieldElement{24949256, 6376279, -27466481, -8174608, -18646154, -9930606, 33543569, -12141695, 3569627, 11342593}, | ||
375 | FieldElement{26514989, 4740088, 27912651, 3697550, 19331575, -11472339, 6809886, 4608608, 7325975, -14801071}, | ||
376 | FieldElement{-11618399, -14554430, -24321212, 7655128, -1369274, 5214312, -27400540, 10258390, -17646694, -8186692}, | ||
377 | }, | ||
378 | { | ||
379 | FieldElement{11431204, 15823007, 26570245, 14329124, 18029990, 4796082, -31446179, 15580664, 9280358, -3973687}, | ||
380 | FieldElement{-160783, -10326257, -22855316, -4304997, -20861367, -13621002, -32810901, -11181622, -15545091, 4387441}, | ||
381 | FieldElement{-20799378, 12194512, 3937617, -5805892, -27154820, 9340370, -24513992, 8548137, 20617071, -7482001}, | ||
382 | }, | ||
383 | { | ||
384 | FieldElement{-938825, -3930586, -8714311, 16124718, 24603125, -6225393, -13775352, -11875822, 24345683, 10325460}, | ||
385 | FieldElement{-19855277, -1568885, -22202708, 8714034, 14007766, 6928528, 16318175, -1010689, 4766743, 3552007}, | ||
386 | FieldElement{-21751364, -16730916, 1351763, -803421, -4009670, 3950935, 3217514, 14481909, 10988822, -3994762}, | ||
387 | }, | ||
388 | { | ||
389 | FieldElement{15564307, -14311570, 3101243, 5684148, 30446780, -8051356, 12677127, -6505343, -8295852, 13296005}, | ||
390 | FieldElement{-9442290, 6624296, -30298964, -11913677, -4670981, -2057379, 31521204, 9614054, -30000824, 12074674}, | ||
391 | FieldElement{4771191, -135239, 14290749, -13089852, 27992298, 14998318, -1413936, -1556716, 29832613, -16391035}, | ||
392 | }, | ||
393 | { | ||
394 | FieldElement{7064884, -7541174, -19161962, -5067537, -18891269, -2912736, 25825242, 5293297, -27122660, 13101590}, | ||
395 | FieldElement{-2298563, 2439670, -7466610, 1719965, -27267541, -16328445, 32512469, -5317593, -30356070, -4190957}, | ||
396 | FieldElement{-30006540, 10162316, -33180176, 3981723, -16482138, -13070044, 14413974, 9515896, 19568978, 9628812}, | ||
397 | }, | ||
398 | { | ||
399 | FieldElement{33053803, 199357, 15894591, 1583059, 27380243, -4580435, -17838894, -6106839, -6291786, 3437740}, | ||
400 | FieldElement{-18978877, 3884493, 19469877, 12726490, 15913552, 13614290, -22961733, 70104, 7463304, 4176122}, | ||
401 | FieldElement{-27124001, 10659917, 11482427, -16070381, 12771467, -6635117, -32719404, -5322751, 24216882, 5944158}, | ||
402 | }, | ||
403 | { | ||
404 | FieldElement{8894125, 7450974, -2664149, -9765752, -28080517, -12389115, 19345746, 14680796, 11632993, 5847885}, | ||
405 | FieldElement{26942781, -2315317, 9129564, -4906607, 26024105, 11769399, -11518837, 6367194, -9727230, 4782140}, | ||
406 | FieldElement{19916461, -4828410, -22910704, -11414391, 25606324, -5972441, 33253853, 8220911, 6358847, -1873857}, | ||
407 | }, | ||
408 | { | ||
409 | FieldElement{801428, -2081702, 16569428, 11065167, 29875704, 96627, 7908388, -4480480, -13538503, 1387155}, | ||
410 | FieldElement{19646058, 5720633, -11416706, 12814209, 11607948, 12749789, 14147075, 15156355, -21866831, 11835260}, | ||
411 | FieldElement{19299512, 1155910, 28703737, 14890794, 2925026, 7269399, 26121523, 15467869, -26560550, 5052483}, | ||
412 | }, | ||
413 | }, | ||
414 | { | ||
415 | { | ||
416 | FieldElement{-3017432, 10058206, 1980837, 3964243, 22160966, 12322533, -6431123, -12618185, 12228557, -7003677}, | ||
417 | FieldElement{32944382, 14922211, -22844894, 5188528, 21913450, -8719943, 4001465, 13238564, -6114803, 8653815}, | ||
418 | FieldElement{22865569, -4652735, 27603668, -12545395, 14348958, 8234005, 24808405, 5719875, 28483275, 2841751}, | ||
419 | }, | ||
420 | { | ||
421 | FieldElement{-16420968, -1113305, -327719, -12107856, 21886282, -15552774, -1887966, -315658, 19932058, -12739203}, | ||
422 | FieldElement{-11656086, 10087521, -8864888, -5536143, -19278573, -3055912, 3999228, 13239134, -4777469, -13910208}, | ||
423 | FieldElement{1382174, -11694719, 17266790, 9194690, -13324356, 9720081, 20403944, 11284705, -14013818, 3093230}, | ||
424 | }, | ||
425 | { | ||
426 | FieldElement{16650921, -11037932, -1064178, 1570629, -8329746, 7352753, -302424, 16271225, -24049421, -6691850}, | ||
427 | FieldElement{-21911077, -5927941, -4611316, -5560156, -31744103, -10785293, 24123614, 15193618, -21652117, -16739389}, | ||
428 | FieldElement{-9935934, -4289447, -25279823, 4372842, 2087473, 10399484, 31870908, 14690798, 17361620, 11864968}, | ||
429 | }, | ||
430 | { | ||
431 | FieldElement{-11307610, 6210372, 13206574, 5806320, -29017692, -13967200, -12331205, -7486601, -25578460, -16240689}, | ||
432 | FieldElement{14668462, -12270235, 26039039, 15305210, 25515617, 4542480, 10453892, 6577524, 9145645, -6443880}, | ||
433 | FieldElement{5974874, 3053895, -9433049, -10385191, -31865124, 3225009, -7972642, 3936128, -5652273, -3050304}, | ||
434 | }, | ||
435 | { | ||
436 | FieldElement{30625386, -4729400, -25555961, -12792866, -20484575, 7695099, 17097188, -16303496, -27999779, 1803632}, | ||
437 | FieldElement{-3553091, 9865099, -5228566, 4272701, -5673832, -16689700, 14911344, 12196514, -21405489, 7047412}, | ||
438 | FieldElement{20093277, 9920966, -11138194, -5343857, 13161587, 12044805, -32856851, 4124601, -32343828, -10257566}, | ||
439 | }, | ||
440 | { | ||
441 | FieldElement{-20788824, 14084654, -13531713, 7842147, 19119038, -13822605, 4752377, -8714640, -21679658, 2288038}, | ||
442 | FieldElement{-26819236, -3283715, 29965059, 3039786, -14473765, 2540457, 29457502, 14625692, -24819617, 12570232}, | ||
443 | FieldElement{-1063558, -11551823, 16920318, 12494842, 1278292, -5869109, -21159943, -3498680, -11974704, 4724943}, | ||
444 | }, | ||
445 | { | ||
446 | FieldElement{17960970, -11775534, -4140968, -9702530, -8876562, -1410617, -12907383, -8659932, -29576300, 1903856}, | ||
447 | FieldElement{23134274, -14279132, -10681997, -1611936, 20684485, 15770816, -12989750, 3190296, 26955097, 14109738}, | ||
448 | FieldElement{15308788, 5320727, -30113809, -14318877, 22902008, 7767164, 29425325, -11277562, 31960942, 11934971}, | ||
449 | }, | ||
450 | { | ||
451 | FieldElement{-27395711, 8435796, 4109644, 12222639, -24627868, 14818669, 20638173, 4875028, 10491392, 1379718}, | ||
452 | FieldElement{-13159415, 9197841, 3875503, -8936108, -1383712, -5879801, 33518459, 16176658, 21432314, 12180697}, | ||
453 | FieldElement{-11787308, 11500838, 13787581, -13832590, -22430679, 10140205, 1465425, 12689540, -10301319, -13872883}, | ||
454 | }, | ||
455 | }, | ||
456 | { | ||
457 | { | ||
458 | FieldElement{5414091, -15386041, -21007664, 9643570, 12834970, 1186149, -2622916, -1342231, 26128231, 6032912}, | ||
459 | FieldElement{-26337395, -13766162, 32496025, -13653919, 17847801, -12669156, 3604025, 8316894, -25875034, -10437358}, | ||
460 | FieldElement{3296484, 6223048, 24680646, -12246460, -23052020, 5903205, -8862297, -4639164, 12376617, 3188849}, | ||
461 | }, | ||
462 | { | ||
463 | FieldElement{29190488, -14659046, 27549113, -1183516, 3520066, -10697301, 32049515, -7309113, -16109234, -9852307}, | ||
464 | FieldElement{-14744486, -9309156, 735818, -598978, -20407687, -5057904, 25246078, -15795669, 18640741, -960977}, | ||
465 | FieldElement{-6928835, -16430795, 10361374, 5642961, 4910474, 12345252, -31638386, -494430, 10530747, 1053335}, | ||
466 | }, | ||
467 | { | ||
468 | FieldElement{-29265967, -14186805, -13538216, -12117373, -19457059, -10655384, -31462369, -2948985, 24018831, 15026644}, | ||
469 | FieldElement{-22592535, -3145277, -2289276, 5953843, -13440189, 9425631, 25310643, 13003497, -2314791, -15145616}, | ||
470 | FieldElement{-27419985, -603321, -8043984, -1669117, -26092265, 13987819, -27297622, 187899, -23166419, -2531735}, | ||
471 | }, | ||
472 | { | ||
473 | FieldElement{-21744398, -13810475, 1844840, 5021428, -10434399, -15911473, 9716667, 16266922, -5070217, 726099}, | ||
474 | FieldElement{29370922, -6053998, 7334071, -15342259, 9385287, 2247707, -13661962, -4839461, 30007388, -15823341}, | ||
475 | FieldElement{-936379, 16086691, 23751945, -543318, -1167538, -5189036, 9137109, 730663, 9835848, 4555336}, | ||
476 | }, | ||
477 | { | ||
478 | FieldElement{-23376435, 1410446, -22253753, -12899614, 30867635, 15826977, 17693930, 544696, -11985298, 12422646}, | ||
479 | FieldElement{31117226, -12215734, -13502838, 6561947, -9876867, -12757670, -5118685, -4096706, 29120153, 13924425}, | ||
480 | FieldElement{-17400879, -14233209, 19675799, -2734756, -11006962, -5858820, -9383939, -11317700, 7240931, -237388}, | ||
481 | }, | ||
482 | { | ||
483 | FieldElement{-31361739, -11346780, -15007447, -5856218, -22453340, -12152771, 1222336, 4389483, 3293637, -15551743}, | ||
484 | FieldElement{-16684801, -14444245, 11038544, 11054958, -13801175, -3338533, -24319580, 7733547, 12796905, -6335822}, | ||
485 | FieldElement{-8759414, -10817836, -25418864, 10783769, -30615557, -9746811, -28253339, 3647836, 3222231, -11160462}, | ||
486 | }, | ||
487 | { | ||
488 | FieldElement{18606113, 1693100, -25448386, -15170272, 4112353, 10045021, 23603893, -2048234, -7550776, 2484985}, | ||
489 | FieldElement{9255317, -3131197, -12156162, -1004256, 13098013, -9214866, 16377220, -2102812, -19802075, -3034702}, | ||
490 | FieldElement{-22729289, 7496160, -5742199, 11329249, 19991973, -3347502, -31718148, 9936966, -30097688, -10618797}, | ||
491 | }, | ||
492 | { | ||
493 | FieldElement{21878590, -5001297, 4338336, 13643897, -3036865, 13160960, 19708896, 5415497, -7360503, -4109293}, | ||
494 | FieldElement{27736861, 10103576, 12500508, 8502413, -3413016, -9633558, 10436918, -1550276, -23659143, -8132100}, | ||
495 | FieldElement{19492550, -12104365, -29681976, -852630, -3208171, 12403437, 30066266, 8367329, 13243957, 8709688}, | ||
496 | }, | ||
497 | }, | ||
498 | { | ||
499 | { | ||
500 | FieldElement{12015105, 2801261, 28198131, 10151021, 24818120, -4743133, -11194191, -5645734, 5150968, 7274186}, | ||
501 | FieldElement{2831366, -12492146, 1478975, 6122054, 23825128, -12733586, 31097299, 6083058, 31021603, -9793610}, | ||
502 | FieldElement{-2529932, -2229646, 445613, 10720828, -13849527, -11505937, -23507731, 16354465, 15067285, -14147707}, | ||
503 | }, | ||
504 | { | ||
505 | FieldElement{7840942, 14037873, -33364863, 15934016, -728213, -3642706, 21403988, 1057586, -19379462, -12403220}, | ||
506 | FieldElement{915865, -16469274, 15608285, -8789130, -24357026, 6060030, -17371319, 8410997, -7220461, 16527025}, | ||
507 | FieldElement{32922597, -556987, 20336074, -16184568, 10903705, -5384487, 16957574, 52992, 23834301, 6588044}, | ||
508 | }, | ||
509 | { | ||
510 | FieldElement{32752030, 11232950, 3381995, -8714866, 22652988, -10744103, 17159699, 16689107, -20314580, -1305992}, | ||
511 | FieldElement{-4689649, 9166776, -25710296, -10847306, 11576752, 12733943, 7924251, -2752281, 1976123, -7249027}, | ||
512 | FieldElement{21251222, 16309901, -2983015, -6783122, 30810597, 12967303, 156041, -3371252, 12331345, -8237197}, | ||
513 | }, | ||
514 | { | ||
515 | FieldElement{8651614, -4477032, -16085636, -4996994, 13002507, 2950805, 29054427, -5106970, 10008136, -4667901}, | ||
516 | FieldElement{31486080, 15114593, -14261250, 12951354, 14369431, -7387845, 16347321, -13662089, 8684155, -10532952}, | ||
517 | FieldElement{19443825, 11385320, 24468943, -9659068, -23919258, 2187569, -26263207, -6086921, 31316348, 14219878}, | ||
518 | }, | ||
519 | { | ||
520 | FieldElement{-28594490, 1193785, 32245219, 11392485, 31092169, 15722801, 27146014, 6992409, 29126555, 9207390}, | ||
521 | FieldElement{32382935, 1110093, 18477781, 11028262, -27411763, -7548111, -4980517, 10843782, -7957600, -14435730}, | ||
522 | FieldElement{2814918, 7836403, 27519878, -7868156, -20894015, -11553689, -21494559, 8550130, 28346258, 1994730}, | ||
523 | }, | ||
524 | { | ||
525 | FieldElement{-19578299, 8085545, -14000519, -3948622, 2785838, -16231307, -19516951, 7174894, 22628102, 8115180}, | ||
526 | FieldElement{-30405132, 955511, -11133838, -15078069, -32447087, -13278079, -25651578, 3317160, -9943017, 930272}, | ||
527 | FieldElement{-15303681, -6833769, 28856490, 1357446, 23421993, 1057177, 24091212, -1388970, -22765376, -10650715}, | ||
528 | }, | ||
529 | { | ||
530 | FieldElement{-22751231, -5303997, -12907607, -12768866, -15811511, -7797053, -14839018, -16554220, -1867018, 8398970}, | ||
531 | FieldElement{-31969310, 2106403, -4736360, 1362501, 12813763, 16200670, 22981545, -6291273, 18009408, -15772772}, | ||
532 | FieldElement{-17220923, -9545221, -27784654, 14166835, 29815394, 7444469, 29551787, -3727419, 19288549, 1325865}, | ||
533 | }, | ||
534 | { | ||
535 | FieldElement{15100157, -15835752, -23923978, -1005098, -26450192, 15509408, 12376730, -3479146, 33166107, -8042750}, | ||
536 | FieldElement{20909231, 13023121, -9209752, 16251778, -5778415, -8094914, 12412151, 10018715, 2213263, -13878373}, | ||
537 | FieldElement{32529814, -11074689, 30361439, -16689753, -9135940, 1513226, 22922121, 6382134, -5766928, 8371348}, | ||
538 | }, | ||
539 | }, | ||
540 | { | ||
541 | { | ||
542 | FieldElement{9923462, 11271500, 12616794, 3544722, -29998368, -1721626, 12891687, -8193132, -26442943, 10486144}, | ||
543 | FieldElement{-22597207, -7012665, 8587003, -8257861, 4084309, -12970062, 361726, 2610596, -23921530, -11455195}, | ||
544 | FieldElement{5408411, -1136691, -4969122, 10561668, 24145918, 14240566, 31319731, -4235541, 19985175, -3436086}, | ||
545 | }, | ||
546 | { | ||
547 | FieldElement{-13994457, 16616821, 14549246, 3341099, 32155958, 13648976, -17577068, 8849297, 65030, 8370684}, | ||
548 | FieldElement{-8320926, -12049626, 31204563, 5839400, -20627288, -1057277, -19442942, 6922164, 12743482, -9800518}, | ||
549 | FieldElement{-2361371, 12678785, 28815050, 4759974, -23893047, 4884717, 23783145, 11038569, 18800704, 255233}, | ||
550 | }, | ||
551 | { | ||
552 | FieldElement{-5269658, -1773886, 13957886, 7990715, 23132995, 728773, 13393847, 9066957, 19258688, -14753793}, | ||
553 | FieldElement{-2936654, -10827535, -10432089, 14516793, -3640786, 4372541, -31934921, 2209390, -1524053, 2055794}, | ||
554 | FieldElement{580882, 16705327, 5468415, -2683018, -30926419, -14696000, -7203346, -8994389, -30021019, 7394435}, | ||
555 | }, | ||
556 | { | ||
557 | FieldElement{23838809, 1822728, -15738443, 15242727, 8318092, -3733104, -21672180, -3492205, -4821741, 14799921}, | ||
558 | FieldElement{13345610, 9759151, 3371034, -16137791, 16353039, 8577942, 31129804, 13496856, -9056018, 7402518}, | ||
559 | FieldElement{2286874, -4435931, -20042458, -2008336, -13696227, 5038122, 11006906, -15760352, 8205061, 1607563}, | ||
560 | }, | ||
561 | { | ||
562 | FieldElement{14414086, -8002132, 3331830, -3208217, 22249151, -5594188, 18364661, -2906958, 30019587, -9029278}, | ||
563 | FieldElement{-27688051, 1585953, -10775053, 931069, -29120221, -11002319, -14410829, 12029093, 9944378, 8024}, | ||
564 | FieldElement{4368715, -3709630, 29874200, -15022983, -20230386, -11410704, -16114594, -999085, -8142388, 5640030}, | ||
565 | }, | ||
566 | { | ||
567 | FieldElement{10299610, 13746483, 11661824, 16234854, 7630238, 5998374, 9809887, -16694564, 15219798, -14327783}, | ||
568 | FieldElement{27425505, -5719081, 3055006, 10660664, 23458024, 595578, -15398605, -1173195, -18342183, 9742717}, | ||
569 | FieldElement{6744077, 2427284, 26042789, 2720740, -847906, 1118974, 32324614, 7406442, 12420155, 1994844}, | ||
570 | }, | ||
571 | { | ||
572 | FieldElement{14012521, -5024720, -18384453, -9578469, -26485342, -3936439, -13033478, -10909803, 24319929, -6446333}, | ||
573 | FieldElement{16412690, -4507367, 10772641, 15929391, -17068788, -4658621, 10555945, -10484049, -30102368, -4739048}, | ||
574 | FieldElement{22397382, -7767684, -9293161, -12792868, 17166287, -9755136, -27333065, 6199366, 21880021, -12250760}, | ||
575 | }, | ||
576 | { | ||
577 | FieldElement{-4283307, 5368523, -31117018, 8163389, -30323063, 3209128, 16557151, 8890729, 8840445, 4957760}, | ||
578 | FieldElement{-15447727, 709327, -6919446, -10870178, -29777922, 6522332, -21720181, 12130072, -14796503, 5005757}, | ||
579 | FieldElement{-2114751, -14308128, 23019042, 15765735, -25269683, 6002752, 10183197, -13239326, -16395286, -2176112}, | ||
580 | }, | ||
581 | }, | ||
582 | { | ||
583 | { | ||
584 | FieldElement{-19025756, 1632005, 13466291, -7995100, -23640451, 16573537, -32013908, -3057104, 22208662, 2000468}, | ||
585 | FieldElement{3065073, -1412761, -25598674, -361432, -17683065, -5703415, -8164212, 11248527, -3691214, -7414184}, | ||
586 | FieldElement{10379208, -6045554, 8877319, 1473647, -29291284, -12507580, 16690915, 2553332, -3132688, 16400289}, | ||
587 | }, | ||
588 | { | ||
589 | FieldElement{15716668, 1254266, -18472690, 7446274, -8448918, 6344164, -22097271, -7285580, 26894937, 9132066}, | ||
590 | FieldElement{24158887, 12938817, 11085297, -8177598, -28063478, -4457083, -30576463, 64452, -6817084, -2692882}, | ||
591 | FieldElement{13488534, 7794716, 22236231, 5989356, 25426474, -12578208, 2350710, -3418511, -4688006, 2364226}, | ||
592 | }, | ||
593 | { | ||
594 | FieldElement{16335052, 9132434, 25640582, 6678888, 1725628, 8517937, -11807024, -11697457, 15445875, -7798101}, | ||
595 | FieldElement{29004207, -7867081, 28661402, -640412, -12794003, -7943086, 31863255, -4135540, -278050, -15759279}, | ||
596 | FieldElement{-6122061, -14866665, -28614905, 14569919, -10857999, -3591829, 10343412, -6976290, -29828287, -10815811}, | ||
597 | }, | ||
598 | { | ||
599 | FieldElement{27081650, 3463984, 14099042, -4517604, 1616303, -6205604, 29542636, 15372179, 17293797, 960709}, | ||
600 | FieldElement{20263915, 11434237, -5765435, 11236810, 13505955, -10857102, -16111345, 6493122, -19384511, 7639714}, | ||
601 | FieldElement{-2830798, -14839232, 25403038, -8215196, -8317012, -16173699, 18006287, -16043750, 29994677, -15808121}, | ||
602 | }, | ||
603 | { | ||
604 | FieldElement{9769828, 5202651, -24157398, -13631392, -28051003, -11561624, -24613141, -13860782, -31184575, 709464}, | ||
605 | FieldElement{12286395, 13076066, -21775189, -1176622, -25003198, 4057652, -32018128, -8890874, 16102007, 13205847}, | ||
606 | FieldElement{13733362, 5599946, 10557076, 3195751, -5557991, 8536970, -25540170, 8525972, 10151379, 10394400}, | ||
607 | }, | ||
608 | { | ||
609 | FieldElement{4024660, -16137551, 22436262, 12276534, -9099015, -2686099, 19698229, 11743039, -33302334, 8934414}, | ||
610 | FieldElement{-15879800, -4525240, -8580747, -2934061, 14634845, -698278, -9449077, 3137094, -11536886, 11721158}, | ||
611 | FieldElement{17555939, -5013938, 8268606, 2331751, -22738815, 9761013, 9319229, 8835153, -9205489, -1280045}, | ||
612 | }, | ||
613 | { | ||
614 | FieldElement{-461409, -7830014, 20614118, 16688288, -7514766, -4807119, 22300304, 505429, 6108462, -6183415}, | ||
615 | FieldElement{-5070281, 12367917, -30663534, 3234473, 32617080, -8422642, 29880583, -13483331, -26898490, -7867459}, | ||
616 | FieldElement{-31975283, 5726539, 26934134, 10237677, -3173717, -605053, 24199304, 3795095, 7592688, -14992079}, | ||
617 | }, | ||
618 | { | ||
619 | FieldElement{21594432, -14964228, 17466408, -4077222, 32537084, 2739898, 6407723, 12018833, -28256052, 4298412}, | ||
620 | FieldElement{-20650503, -11961496, -27236275, 570498, 3767144, -1717540, 13891942, -1569194, 13717174, 10805743}, | ||
621 | FieldElement{-14676630, -15644296, 15287174, 11927123, 24177847, -8175568, -796431, 14860609, -26938930, -5863836}, | ||
622 | }, | ||
623 | }, | ||
624 | { | ||
625 | { | ||
626 | FieldElement{12962541, 5311799, -10060768, 11658280, 18855286, -7954201, 13286263, -12808704, -4381056, 9882022}, | ||
627 | FieldElement{18512079, 11319350, -20123124, 15090309, 18818594, 5271736, -22727904, 3666879, -23967430, -3299429}, | ||
628 | FieldElement{-6789020, -3146043, 16192429, 13241070, 15898607, -14206114, -10084880, -6661110, -2403099, 5276065}, | ||
629 | }, | ||
630 | { | ||
631 | FieldElement{30169808, -5317648, 26306206, -11750859, 27814964, 7069267, 7152851, 3684982, 1449224, 13082861}, | ||
632 | FieldElement{10342826, 3098505, 2119311, 193222, 25702612, 12233820, 23697382, 15056736, -21016438, -8202000}, | ||
633 | FieldElement{-33150110, 3261608, 22745853, 7948688, 19370557, -15177665, -26171976, 6482814, -10300080, -11060101}, | ||
634 | }, | ||
635 | { | ||
636 | FieldElement{32869458, -5408545, 25609743, 15678670, -10687769, -15471071, 26112421, 2521008, -22664288, 6904815}, | ||
637 | FieldElement{29506923, 4457497, 3377935, -9796444, -30510046, 12935080, 1561737, 3841096, -29003639, -6657642}, | ||
638 | FieldElement{10340844, -6630377, -18656632, -2278430, 12621151, -13339055, 30878497, -11824370, -25584551, 5181966}, | ||
639 | }, | ||
640 | { | ||
641 | FieldElement{25940115, -12658025, 17324188, -10307374, -8671468, 15029094, 24396252, -16450922, -2322852, -12388574}, | ||
642 | FieldElement{-21765684, 9916823, -1300409, 4079498, -1028346, 11909559, 1782390, 12641087, 20603771, -6561742}, | ||
643 | FieldElement{-18882287, -11673380, 24849422, 11501709, 13161720, -4768874, 1925523, 11914390, 4662781, 7820689}, | ||
644 | }, | ||
645 | { | ||
646 | FieldElement{12241050, -425982, 8132691, 9393934, 32846760, -1599620, 29749456, 12172924, 16136752, 15264020}, | ||
647 | FieldElement{-10349955, -14680563, -8211979, 2330220, -17662549, -14545780, 10658213, 6671822, 19012087, 3772772}, | ||
648 | FieldElement{3753511, -3421066, 10617074, 2028709, 14841030, -6721664, 28718732, -15762884, 20527771, 12988982}, | ||
649 | }, | ||
650 | { | ||
651 | FieldElement{-14822485, -5797269, -3707987, 12689773, -898983, -10914866, -24183046, -10564943, 3299665, -12424953}, | ||
652 | FieldElement{-16777703, -15253301, -9642417, 4978983, 3308785, 8755439, 6943197, 6461331, -25583147, 8991218}, | ||
653 | FieldElement{-17226263, 1816362, -1673288, -6086439, 31783888, -8175991, -32948145, 7417950, -30242287, 1507265}, | ||
654 | }, | ||
655 | { | ||
656 | FieldElement{29692663, 6829891, -10498800, 4334896, 20945975, -11906496, -28887608, 8209391, 14606362, -10647073}, | ||
657 | FieldElement{-3481570, 8707081, 32188102, 5672294, 22096700, 1711240, -33020695, 9761487, 4170404, -2085325}, | ||
658 | FieldElement{-11587470, 14855945, -4127778, -1531857, -26649089, 15084046, 22186522, 16002000, -14276837, -8400798}, | ||
659 | }, | ||
660 | { | ||
661 | FieldElement{-4811456, 13761029, -31703877, -2483919, -3312471, 7869047, -7113572, -9620092, 13240845, 10965870}, | ||
662 | FieldElement{-7742563, -8256762, -14768334, -13656260, -23232383, 12387166, 4498947, 14147411, 29514390, 4302863}, | ||
663 | FieldElement{-13413405, -12407859, 20757302, -13801832, 14785143, 8976368, -5061276, -2144373, 17846988, -13971927}, | ||
664 | }, | ||
665 | }, | ||
666 | { | ||
667 | { | ||
668 | FieldElement{-2244452, -754728, -4597030, -1066309, -6247172, 1455299, -21647728, -9214789, -5222701, 12650267}, | ||
669 | FieldElement{-9906797, -16070310, 21134160, 12198166, -27064575, 708126, 387813, 13770293, -19134326, 10958663}, | ||
670 | FieldElement{22470984, 12369526, 23446014, -5441109, -21520802, -9698723, -11772496, -11574455, -25083830, 4271862}, | ||
671 | }, | ||
672 | { | ||
673 | FieldElement{-25169565, -10053642, -19909332, 15361595, -5984358, 2159192, 75375, -4278529, -32526221, 8469673}, | ||
674 | FieldElement{15854970, 4148314, -8893890, 7259002, 11666551, 13824734, -30531198, 2697372, 24154791, -9460943}, | ||
675 | FieldElement{15446137, -15806644, 29759747, 14019369, 30811221, -9610191, -31582008, 12840104, 24913809, 9815020}, | ||
676 | }, | ||
677 | { | ||
678 | FieldElement{-4709286, -5614269, -31841498, -12288893, -14443537, 10799414, -9103676, 13438769, 18735128, 9466238}, | ||
679 | FieldElement{11933045, 9281483, 5081055, -5183824, -2628162, -4905629, -7727821, -10896103, -22728655, 16199064}, | ||
680 | FieldElement{14576810, 379472, -26786533, -8317236, -29426508, -10812974, -102766, 1876699, 30801119, 2164795}, | ||
681 | }, | ||
682 | { | ||
683 | FieldElement{15995086, 3199873, 13672555, 13712240, -19378835, -4647646, -13081610, -15496269, -13492807, 1268052}, | ||
684 | FieldElement{-10290614, -3659039, -3286592, 10948818, 23037027, 3794475, -3470338, -12600221, -17055369, 3565904}, | ||
685 | FieldElement{29210088, -9419337, -5919792, -4952785, 10834811, -13327726, -16512102, -10820713, -27162222, -14030531}, | ||
686 | }, | ||
687 | { | ||
688 | FieldElement{-13161890, 15508588, 16663704, -8156150, -28349942, 9019123, -29183421, -3769423, 2244111, -14001979}, | ||
689 | FieldElement{-5152875, -3800936, -9306475, -6071583, 16243069, 14684434, -25673088, -16180800, 13491506, 4641841}, | ||
690 | FieldElement{10813417, 643330, -19188515, -728916, 30292062, -16600078, 27548447, -7721242, 14476989, -12767431}, | ||
691 | }, | ||
692 | { | ||
693 | FieldElement{10292079, 9984945, 6481436, 8279905, -7251514, 7032743, 27282937, -1644259, -27912810, 12651324}, | ||
694 | FieldElement{-31185513, -813383, 22271204, 11835308, 10201545, 15351028, 17099662, 3988035, 21721536, -3148940}, | ||
695 | FieldElement{10202177, -6545839, -31373232, -9574638, -32150642, -8119683, -12906320, 3852694, 13216206, 14842320}, | ||
696 | }, | ||
697 | { | ||
698 | FieldElement{-15815640, -10601066, -6538952, -7258995, -6984659, -6581778, -31500847, 13765824, -27434397, 9900184}, | ||
699 | FieldElement{14465505, -13833331, -32133984, -14738873, -27443187, 12990492, 33046193, 15796406, -7051866, -8040114}, | ||
700 | FieldElement{30924417, -8279620, 6359016, -12816335, 16508377, 9071735, -25488601, 15413635, 9524356, -7018878}, | ||
701 | }, | ||
702 | { | ||
703 | FieldElement{12274201, -13175547, 32627641, -1785326, 6736625, 13267305, 5237659, -5109483, 15663516, 4035784}, | ||
704 | FieldElement{-2951309, 8903985, 17349946, 601635, -16432815, -4612556, -13732739, -15889334, -22258478, 4659091}, | ||
705 | FieldElement{-16916263, -4952973, -30393711, -15158821, 20774812, 15897498, 5736189, 15026997, -2178256, -13455585}, | ||
706 | }, | ||
707 | }, | ||
708 | { | ||
709 | { | ||
710 | FieldElement{-8858980, -2219056, 28571666, -10155518, -474467, -10105698, -3801496, 278095, 23440562, -290208}, | ||
711 | FieldElement{10226241, -5928702, 15139956, 120818, -14867693, 5218603, 32937275, 11551483, -16571960, -7442864}, | ||
712 | FieldElement{17932739, -12437276, -24039557, 10749060, 11316803, 7535897, 22503767, 5561594, -3646624, 3898661}, | ||
713 | }, | ||
714 | { | ||
715 | FieldElement{7749907, -969567, -16339731, -16464, -25018111, 15122143, -1573531, 7152530, 21831162, 1245233}, | ||
716 | FieldElement{26958459, -14658026, 4314586, 8346991, -5677764, 11960072, -32589295, -620035, -30402091, -16716212}, | ||
717 | FieldElement{-12165896, 9166947, 33491384, 13673479, 29787085, 13096535, 6280834, 14587357, -22338025, 13987525}, | ||
718 | }, | ||
719 | { | ||
720 | FieldElement{-24349909, 7778775, 21116000, 15572597, -4833266, -5357778, -4300898, -5124639, -7469781, -2858068}, | ||
721 | FieldElement{9681908, -6737123, -31951644, 13591838, -6883821, 386950, 31622781, 6439245, -14581012, 4091397}, | ||
722 | FieldElement{-8426427, 1470727, -28109679, -1596990, 3978627, -5123623, -19622683, 12092163, 29077877, -14741988}, | ||
723 | }, | ||
724 | { | ||
725 | FieldElement{5269168, -6859726, -13230211, -8020715, 25932563, 1763552, -5606110, -5505881, -20017847, 2357889}, | ||
726 | FieldElement{32264008, -15407652, -5387735, -1160093, -2091322, -3946900, 23104804, -12869908, 5727338, 189038}, | ||
727 | FieldElement{14609123, -8954470, -6000566, -16622781, -14577387, -7743898, -26745169, 10942115, -25888931, -14884697}, | ||
728 | }, | ||
729 | { | ||
730 | FieldElement{20513500, 5557931, -15604613, 7829531, 26413943, -2019404, -21378968, 7471781, 13913677, -5137875}, | ||
731 | FieldElement{-25574376, 11967826, 29233242, 12948236, -6754465, 4713227, -8940970, 14059180, 12878652, 8511905}, | ||
732 | FieldElement{-25656801, 3393631, -2955415, -7075526, -2250709, 9366908, -30223418, 6812974, 5568676, -3127656}, | ||
733 | }, | ||
734 | { | ||
735 | FieldElement{11630004, 12144454, 2116339, 13606037, 27378885, 15676917, -17408753, -13504373, -14395196, 8070818}, | ||
736 | FieldElement{27117696, -10007378, -31282771, -5570088, 1127282, 12772488, -29845906, 10483306, -11552749, -1028714}, | ||
737 | FieldElement{10637467, -5688064, 5674781, 1072708, -26343588, -6982302, -1683975, 9177853, -27493162, 15431203}, | ||
738 | }, | ||
739 | { | ||
740 | FieldElement{20525145, 10892566, -12742472, 12779443, -29493034, 16150075, -28240519, 14943142, -15056790, -7935931}, | ||
741 | FieldElement{-30024462, 5626926, -551567, -9981087, 753598, 11981191, 25244767, -3239766, -3356550, 9594024}, | ||
742 | FieldElement{-23752644, 2636870, -5163910, -10103818, 585134, 7877383, 11345683, -6492290, 13352335, -10977084}, | ||
743 | }, | ||
744 | { | ||
745 | FieldElement{-1931799, -5407458, 3304649, -12884869, 17015806, -4877091, -29783850, -7752482, -13215537, -319204}, | ||
746 | FieldElement{20239939, 6607058, 6203985, 3483793, -18386976, -779229, -20723742, 15077870, -22750759, 14523817}, | ||
747 | FieldElement{27406042, -6041657, 27423596, -4497394, 4996214, 10002360, -28842031, -4545494, -30172742, -4805667}, | ||
748 | }, | ||
749 | }, | ||
750 | { | ||
751 | { | ||
752 | FieldElement{11374242, 12660715, 17861383, -12540833, 10935568, 1099227, -13886076, -9091740, -27727044, 11358504}, | ||
753 | FieldElement{-12730809, 10311867, 1510375, 10778093, -2119455, -9145702, 32676003, 11149336, -26123651, 4985768}, | ||
754 | FieldElement{-19096303, 341147, -6197485, -239033, 15756973, -8796662, -983043, 13794114, -19414307, -15621255}, | ||
755 | }, | ||
756 | { | ||
757 | FieldElement{6490081, 11940286, 25495923, -7726360, 8668373, -8751316, 3367603, 6970005, -1691065, -9004790}, | ||
758 | FieldElement{1656497, 13457317, 15370807, 6364910, 13605745, 8362338, -19174622, -5475723, -16796596, -5031438}, | ||
759 | FieldElement{-22273315, -13524424, -64685, -4334223, -18605636, -10921968, -20571065, -7007978, -99853, -10237333}, | ||
760 | }, | ||
761 | { | ||
762 | FieldElement{17747465, 10039260, 19368299, -4050591, -20630635, -16041286, 31992683, -15857976, -29260363, -5511971}, | ||
763 | FieldElement{31932027, -4986141, -19612382, 16366580, 22023614, 88450, 11371999, -3744247, 4882242, -10626905}, | ||
764 | FieldElement{29796507, 37186, 19818052, 10115756, -11829032, 3352736, 18551198, 3272828, -5190932, -4162409}, | ||
765 | }, | ||
766 | { | ||
767 | FieldElement{12501286, 4044383, -8612957, -13392385, -32430052, 5136599, -19230378, -3529697, 330070, -3659409}, | ||
768 | FieldElement{6384877, 2899513, 17807477, 7663917, -2358888, 12363165, 25366522, -8573892, -271295, 12071499}, | ||
769 | FieldElement{-8365515, -4042521, 25133448, -4517355, -6211027, 2265927, -32769618, 1936675, -5159697, 3829363}, | ||
770 | }, | ||
771 | { | ||
772 | FieldElement{28425966, -5835433, -577090, -4697198, -14217555, 6870930, 7921550, -6567787, 26333140, 14267664}, | ||
773 | FieldElement{-11067219, 11871231, 27385719, -10559544, -4585914, -11189312, 10004786, -8709488, -21761224, 8930324}, | ||
774 | FieldElement{-21197785, -16396035, 25654216, -1725397, 12282012, 11008919, 1541940, 4757911, -26491501, -16408940}, | ||
775 | }, | ||
776 | { | ||
777 | FieldElement{13537262, -7759490, -20604840, 10961927, -5922820, -13218065, -13156584, 6217254, -15943699, 13814990}, | ||
778 | FieldElement{-17422573, 15157790, 18705543, 29619, 24409717, -260476, 27361681, 9257833, -1956526, -1776914}, | ||
779 | FieldElement{-25045300, -10191966, 15366585, 15166509, -13105086, 8423556, -29171540, 12361135, -18685978, 4578290}, | ||
780 | }, | ||
781 | { | ||
782 | FieldElement{24579768, 3711570, 1342322, -11180126, -27005135, 14124956, -22544529, 14074919, 21964432, 8235257}, | ||
783 | FieldElement{-6528613, -2411497, 9442966, -5925588, 12025640, -1487420, -2981514, -1669206, 13006806, 2355433}, | ||
784 | FieldElement{-16304899, -13605259, -6632427, -5142349, 16974359, -10911083, 27202044, 1719366, 1141648, -12796236}, | ||
785 | }, | ||
786 | { | ||
787 | FieldElement{-12863944, -13219986, -8318266, -11018091, -6810145, -4843894, 13475066, -3133972, 32674895, 13715045}, | ||
788 | FieldElement{11423335, -5468059, 32344216, 8962751, 24989809, 9241752, -13265253, 16086212, -28740881, -15642093}, | ||
789 | FieldElement{-1409668, 12530728, -6368726, 10847387, 19531186, -14132160, -11709148, 7791794, -27245943, 4383347}, | ||
790 | }, | ||
791 | }, | ||
792 | { | ||
793 | { | ||
794 | FieldElement{-28970898, 5271447, -1266009, -9736989, -12455236, 16732599, -4862407, -4906449, 27193557, 6245191}, | ||
795 | FieldElement{-15193956, 5362278, -1783893, 2695834, 4960227, 12840725, 23061898, 3260492, 22510453, 8577507}, | ||
796 | FieldElement{-12632451, 11257346, -32692994, 13548177, -721004, 10879011, 31168030, 13952092, -29571492, -3635906}, | ||
797 | }, | ||
798 | { | ||
799 | FieldElement{3877321, -9572739, 32416692, 5405324, -11004407, -13656635, 3759769, 11935320, 5611860, 8164018}, | ||
800 | FieldElement{-16275802, 14667797, 15906460, 12155291, -22111149, -9039718, 32003002, -8832289, 5773085, -8422109}, | ||
801 | FieldElement{-23788118, -8254300, 1950875, 8937633, 18686727, 16459170, -905725, 12376320, 31632953, 190926}, | ||
802 | }, | ||
803 | { | ||
804 | FieldElement{-24593607, -16138885, -8423991, 13378746, 14162407, 6901328, -8288749, 4508564, -25341555, -3627528}, | ||
805 | FieldElement{8884438, -5884009, 6023974, 10104341, -6881569, -4941533, 18722941, -14786005, -1672488, 827625}, | ||
806 | FieldElement{-32720583, -16289296, -32503547, 7101210, 13354605, 2659080, -1800575, -14108036, -24878478, 1541286}, | ||
807 | }, | ||
808 | { | ||
809 | FieldElement{2901347, -1117687, 3880376, -10059388, -17620940, -3612781, -21802117, -3567481, 20456845, -1885033}, | ||
810 | FieldElement{27019610, 12299467, -13658288, -1603234, -12861660, -4861471, -19540150, -5016058, 29439641, 15138866}, | ||
811 | FieldElement{21536104, -6626420, -32447818, -10690208, -22408077, 5175814, -5420040, -16361163, 7779328, 109896}, | ||
812 | }, | ||
813 | { | ||
814 | FieldElement{30279744, 14648750, -8044871, 6425558, 13639621, -743509, 28698390, 12180118, 23177719, -554075}, | ||
815 | FieldElement{26572847, 3405927, -31701700, 12890905, -19265668, 5335866, -6493768, 2378492, 4439158, -13279347}, | ||
816 | FieldElement{-22716706, 3489070, -9225266, -332753, 18875722, -1140095, 14819434, -12731527, -17717757, -5461437}, | ||
817 | }, | ||
818 | { | ||
819 | FieldElement{-5056483, 16566551, 15953661, 3767752, -10436499, 15627060, -820954, 2177225, 8550082, -15114165}, | ||
820 | FieldElement{-18473302, 16596775, -381660, 15663611, 22860960, 15585581, -27844109, -3582739, -23260460, -8428588}, | ||
821 | FieldElement{-32480551, 15707275, -8205912, -5652081, 29464558, 2713815, -22725137, 15860482, -21902570, 1494193}, | ||
822 | }, | ||
823 | { | ||
824 | FieldElement{-19562091, -14087393, -25583872, -9299552, 13127842, 759709, 21923482, 16529112, 8742704, 12967017}, | ||
825 | FieldElement{-28464899, 1553205, 32536856, -10473729, -24691605, -406174, -8914625, -2933896, -29903758, 15553883}, | ||
826 | FieldElement{21877909, 3230008, 9881174, 10539357, -4797115, 2841332, 11543572, 14513274, 19375923, -12647961}, | ||
827 | }, | ||
828 | { | ||
829 | FieldElement{8832269, -14495485, 13253511, 5137575, 5037871, 4078777, 24880818, -6222716, 2862653, 9455043}, | ||
830 | FieldElement{29306751, 5123106, 20245049, -14149889, 9592566, 8447059, -2077124, -2990080, 15511449, 4789663}, | ||
831 | FieldElement{-20679756, 7004547, 8824831, -9434977, -4045704, -3750736, -5754762, 108893, 23513200, 16652362}, | ||
832 | }, | ||
833 | }, | ||
834 | { | ||
835 | { | ||
836 | FieldElement{-33256173, 4144782, -4476029, -6579123, 10770039, -7155542, -6650416, -12936300, -18319198, 10212860}, | ||
837 | FieldElement{2756081, 8598110, 7383731, -6859892, 22312759, -1105012, 21179801, 2600940, -9988298, -12506466}, | ||
838 | FieldElement{-24645692, 13317462, -30449259, -15653928, 21365574, -10869657, 11344424, 864440, -2499677, -16710063}, | ||
839 | }, | ||
840 | { | ||
841 | FieldElement{-26432803, 6148329, -17184412, -14474154, 18782929, -275997, -22561534, 211300, 2719757, 4940997}, | ||
842 | FieldElement{-1323882, 3911313, -6948744, 14759765, -30027150, 7851207, 21690126, 8518463, 26699843, 5276295}, | ||
843 | FieldElement{-13149873, -6429067, 9396249, 365013, 24703301, -10488939, 1321586, 149635, -15452774, 7159369}, | ||
844 | }, | ||
845 | { | ||
846 | FieldElement{9987780, -3404759, 17507962, 9505530, 9731535, -2165514, 22356009, 8312176, 22477218, -8403385}, | ||
847 | FieldElement{18155857, -16504990, 19744716, 9006923, 15154154, -10538976, 24256460, -4864995, -22548173, 9334109}, | ||
848 | FieldElement{2986088, -4911893, 10776628, -3473844, 10620590, -7083203, -21413845, 14253545, -22587149, 536906}, | ||
849 | }, | ||
850 | { | ||
851 | FieldElement{4377756, 8115836, 24567078, 15495314, 11625074, 13064599, 7390551, 10589625, 10838060, -15420424}, | ||
852 | FieldElement{-19342404, 867880, 9277171, -3218459, -14431572, -1986443, 19295826, -15796950, 6378260, 699185}, | ||
853 | FieldElement{7895026, 4057113, -7081772, -13077756, -17886831, -323126, -716039, 15693155, -5045064, -13373962}, | ||
854 | }, | ||
855 | { | ||
856 | FieldElement{-7737563, -5869402, -14566319, -7406919, 11385654, 13201616, 31730678, -10962840, -3918636, -9669325}, | ||
857 | FieldElement{10188286, -15770834, -7336361, 13427543, 22223443, 14896287, 30743455, 7116568, -21786507, 5427593}, | ||
858 | FieldElement{696102, 13206899, 27047647, -10632082, 15285305, -9853179, 10798490, -4578720, 19236243, 12477404}, | ||
859 | }, | ||
860 | { | ||
861 | FieldElement{-11229439, 11243796, -17054270, -8040865, -788228, -8167967, -3897669, 11180504, -23169516, 7733644}, | ||
862 | FieldElement{17800790, -14036179, -27000429, -11766671, 23887827, 3149671, 23466177, -10538171, 10322027, 15313801}, | ||
863 | FieldElement{26246234, 11968874, 32263343, -5468728, 6830755, -13323031, -15794704, -101982, -24449242, 10890804}, | ||
864 | }, | ||
865 | { | ||
866 | FieldElement{-31365647, 10271363, -12660625, -6267268, 16690207, -13062544, -14982212, 16484931, 25180797, -5334884}, | ||
867 | FieldElement{-586574, 10376444, -32586414, -11286356, 19801893, 10997610, 2276632, 9482883, 316878, 13820577}, | ||
868 | FieldElement{-9882808, -4510367, -2115506, 16457136, -11100081, 11674996, 30756178, -7515054, 30696930, -3712849}, | ||
869 | }, | ||
870 | { | ||
871 | FieldElement{32988917, -9603412, 12499366, 7910787, -10617257, -11931514, -7342816, -9985397, -32349517, 7392473}, | ||
872 | FieldElement{-8855661, 15927861, 9866406, -3649411, -2396914, -16655781, -30409476, -9134995, 25112947, -2926644}, | ||
873 | FieldElement{-2504044, -436966, 25621774, -5678772, 15085042, -5479877, -24884878, -13526194, 5537438, -13914319}, | ||
874 | }, | ||
875 | }, | ||
876 | { | ||
877 | { | ||
878 | FieldElement{-11225584, 2320285, -9584280, 10149187, -33444663, 5808648, -14876251, -1729667, 31234590, 6090599}, | ||
879 | FieldElement{-9633316, 116426, 26083934, 2897444, -6364437, -2688086, 609721, 15878753, -6970405, -9034768}, | ||
880 | FieldElement{-27757857, 247744, -15194774, -9002551, 23288161, -10011936, -23869595, 6503646, 20650474, 1804084}, | ||
881 | }, | ||
882 | { | ||
883 | FieldElement{-27589786, 15456424, 8972517, 8469608, 15640622, 4439847, 3121995, -10329713, 27842616, -202328}, | ||
884 | FieldElement{-15306973, 2839644, 22530074, 10026331, 4602058, 5048462, 28248656, 5031932, -11375082, 12714369}, | ||
885 | FieldElement{20807691, -7270825, 29286141, 11421711, -27876523, -13868230, -21227475, 1035546, -19733229, 12796920}, | ||
886 | }, | ||
887 | { | ||
888 | FieldElement{12076899, -14301286, -8785001, -11848922, -25012791, 16400684, -17591495, -12899438, 3480665, -15182815}, | ||
889 | FieldElement{-32361549, 5457597, 28548107, 7833186, 7303070, -11953545, -24363064, -15921875, -33374054, 2771025}, | ||
890 | FieldElement{-21389266, 421932, 26597266, 6860826, 22486084, -6737172, -17137485, -4210226, -24552282, 15673397}, | ||
891 | }, | ||
892 | { | ||
893 | FieldElement{-20184622, 2338216, 19788685, -9620956, -4001265, -8740893, -20271184, 4733254, 3727144, -12934448}, | ||
894 | FieldElement{6120119, 814863, -11794402, -622716, 6812205, -15747771, 2019594, 7975683, 31123697, -10958981}, | ||
895 | FieldElement{30069250, -11435332, 30434654, 2958439, 18399564, -976289, 12296869, 9204260, -16432438, 9648165}, | ||
896 | }, | ||
897 | { | ||
898 | FieldElement{32705432, -1550977, 30705658, 7451065, -11805606, 9631813, 3305266, 5248604, -26008332, -11377501}, | ||
899 | FieldElement{17219865, 2375039, -31570947, -5575615, -19459679, 9219903, 294711, 15298639, 2662509, -16297073}, | ||
900 | FieldElement{-1172927, -7558695, -4366770, -4287744, -21346413, -8434326, 32087529, -1222777, 32247248, -14389861}, | ||
901 | }, | ||
902 | { | ||
903 | FieldElement{14312628, 1221556, 17395390, -8700143, -4945741, -8684635, -28197744, -9637817, -16027623, -13378845}, | ||
904 | FieldElement{-1428825, -9678990, -9235681, 6549687, -7383069, -468664, 23046502, 9803137, 17597934, 2346211}, | ||
905 | FieldElement{18510800, 15337574, 26171504, 981392, -22241552, 7827556, -23491134, -11323352, 3059833, -11782870}, | ||
906 | }, | ||
907 | { | ||
908 | FieldElement{10141598, 6082907, 17829293, -1947643, 9830092, 13613136, -25556636, -5544586, -33502212, 3592096}, | ||
909 | FieldElement{33114168, -15889352, -26525686, -13343397, 33076705, 8716171, 1151462, 1521897, -982665, -6837803}, | ||
910 | FieldElement{-32939165, -4255815, 23947181, -324178, -33072974, -12305637, -16637686, 3891704, 26353178, 693168}, | ||
911 | }, | ||
912 | { | ||
913 | FieldElement{30374239, 1595580, -16884039, 13186931, 4600344, 406904, 9585294, -400668, 31375464, 14369965}, | ||
914 | FieldElement{-14370654, -7772529, 1510301, 6434173, -18784789, -6262728, 32732230, -13108839, 17901441, 16011505}, | ||
915 | FieldElement{18171223, -11934626, -12500402, 15197122, -11038147, -15230035, -19172240, -16046376, 8764035, 12309598}, | ||
916 | }, | ||
917 | }, | ||
918 | { | ||
919 | { | ||
920 | FieldElement{5975908, -5243188, -19459362, -9681747, -11541277, 14015782, -23665757, 1228319, 17544096, -10593782}, | ||
921 | FieldElement{5811932, -1715293, 3442887, -2269310, -18367348, -8359541, -18044043, -15410127, -5565381, 12348900}, | ||
922 | FieldElement{-31399660, 11407555, 25755363, 6891399, -3256938, 14872274, -24849353, 8141295, -10632534, -585479}, | ||
923 | }, | ||
924 | { | ||
925 | FieldElement{-12675304, 694026, -5076145, 13300344, 14015258, -14451394, -9698672, -11329050, 30944593, 1130208}, | ||
926 | FieldElement{8247766, -6710942, -26562381, -7709309, -14401939, -14648910, 4652152, 2488540, 23550156, -271232}, | ||
927 | FieldElement{17294316, -3788438, 7026748, 15626851, 22990044, 113481, 2267737, -5908146, -408818, -137719}, | ||
928 | }, | ||
929 | { | ||
930 | FieldElement{16091085, -16253926, 18599252, 7340678, 2137637, -1221657, -3364161, 14550936, 3260525, -7166271}, | ||
931 | FieldElement{-4910104, -13332887, 18550887, 10864893, -16459325, -7291596, -23028869, -13204905, -12748722, 2701326}, | ||
932 | FieldElement{-8574695, 16099415, 4629974, -16340524, -20786213, -6005432, -10018363, 9276971, 11329923, 1862132}, | ||
933 | }, | ||
934 | { | ||
935 | FieldElement{14763076, -15903608, -30918270, 3689867, 3511892, 10313526, -21951088, 12219231, -9037963, -940300}, | ||
936 | FieldElement{8894987, -3446094, 6150753, 3013931, 301220, 15693451, -31981216, -2909717, -15438168, 11595570}, | ||
937 | FieldElement{15214962, 3537601, -26238722, -14058872, 4418657, -15230761, 13947276, 10730794, -13489462, -4363670}, | ||
938 | }, | ||
939 | { | ||
940 | FieldElement{-2538306, 7682793, 32759013, 263109, -29984731, -7955452, -22332124, -10188635, 977108, 699994}, | ||
941 | FieldElement{-12466472, 4195084, -9211532, 550904, -15565337, 12917920, 19118110, -439841, -30534533, -14337913}, | ||
942 | FieldElement{31788461, -14507657, 4799989, 7372237, 8808585, -14747943, 9408237, -10051775, 12493932, -5409317}, | ||
943 | }, | ||
944 | { | ||
945 | FieldElement{-25680606, 5260744, -19235809, -6284470, -3695942, 16566087, 27218280, 2607121, 29375955, 6024730}, | ||
946 | FieldElement{842132, -2794693, -4763381, -8722815, 26332018, -12405641, 11831880, 6985184, -9940361, 2854096}, | ||
947 | FieldElement{-4847262, -7969331, 2516242, -5847713, 9695691, -7221186, 16512645, 960770, 12121869, 16648078}, | ||
948 | }, | ||
949 | { | ||
950 | FieldElement{-15218652, 14667096, -13336229, 2013717, 30598287, -464137, -31504922, -7882064, 20237806, 2838411}, | ||
951 | FieldElement{-19288047, 4453152, 15298546, -16178388, 22115043, -15972604, 12544294, -13470457, 1068881, -12499905}, | ||
952 | FieldElement{-9558883, -16518835, 33238498, 13506958, 30505848, -1114596, -8486907, -2630053, 12521378, 4845654}, | ||
953 | }, | ||
954 | { | ||
955 | FieldElement{-28198521, 10744108, -2958380, 10199664, 7759311, -13088600, 3409348, -873400, -6482306, -12885870}, | ||
956 | FieldElement{-23561822, 6230156, -20382013, 10655314, -24040585, -11621172, 10477734, -1240216, -3113227, 13974498}, | ||
957 | FieldElement{12966261, 15550616, -32038948, -1615346, 21025980, -629444, 5642325, 7188737, 18895762, 12629579}, | ||
958 | }, | ||
959 | }, | ||
960 | { | ||
961 | { | ||
962 | FieldElement{14741879, -14946887, 22177208, -11721237, 1279741, 8058600, 11758140, 789443, 32195181, 3895677}, | ||
963 | FieldElement{10758205, 15755439, -4509950, 9243698, -4879422, 6879879, -2204575, -3566119, -8982069, 4429647}, | ||
964 | FieldElement{-2453894, 15725973, -20436342, -10410672, -5803908, -11040220, -7135870, -11642895, 18047436, -15281743}, | ||
965 | }, | ||
966 | { | ||
967 | FieldElement{-25173001, -11307165, 29759956, 11776784, -22262383, -15820455, 10993114, -12850837, -17620701, -9408468}, | ||
968 | FieldElement{21987233, 700364, -24505048, 14972008, -7774265, -5718395, 32155026, 2581431, -29958985, 8773375}, | ||
969 | FieldElement{-25568350, 454463, -13211935, 16126715, 25240068, 8594567, 20656846, 12017935, -7874389, -13920155}, | ||
970 | }, | ||
971 | { | ||
972 | FieldElement{6028182, 6263078, -31011806, -11301710, -818919, 2461772, -31841174, -5468042, -1721788, -2776725}, | ||
973 | FieldElement{-12278994, 16624277, 987579, -5922598, 32908203, 1248608, 7719845, -4166698, 28408820, 6816612}, | ||
974 | FieldElement{-10358094, -8237829, 19549651, -12169222, 22082623, 16147817, 20613181, 13982702, -10339570, 5067943}, | ||
975 | }, | ||
976 | { | ||
977 | FieldElement{-30505967, -3821767, 12074681, 13582412, -19877972, 2443951, -19719286, 12746132, 5331210, -10105944}, | ||
978 | FieldElement{30528811, 3601899, -1957090, 4619785, -27361822, -15436388, 24180793, -12570394, 27679908, -1648928}, | ||
979 | FieldElement{9402404, -13957065, 32834043, 10838634, -26580150, -13237195, 26653274, -8685565, 22611444, -12715406}, | ||
980 | }, | ||
981 | { | ||
982 | FieldElement{22190590, 1118029, 22736441, 15130463, -30460692, -5991321, 19189625, -4648942, 4854859, 6622139}, | ||
983 | FieldElement{-8310738, -2953450, -8262579, -3388049, -10401731, -271929, 13424426, -3567227, 26404409, 13001963}, | ||
984 | FieldElement{-31241838, -15415700, -2994250, 8939346, 11562230, -12840670, -26064365, -11621720, -15405155, 11020693}, | ||
985 | }, | ||
986 | { | ||
987 | FieldElement{1866042, -7949489, -7898649, -10301010, 12483315, 13477547, 3175636, -12424163, 28761762, 1406734}, | ||
988 | FieldElement{-448555, -1777666, 13018551, 3194501, -9580420, -11161737, 24760585, -4347088, 25577411, -13378680}, | ||
989 | FieldElement{-24290378, 4759345, -690653, -1852816, 2066747, 10693769, -29595790, 9884936, -9368926, 4745410}, | ||
990 | }, | ||
991 | { | ||
992 | FieldElement{-9141284, 6049714, -19531061, -4341411, -31260798, 9944276, -15462008, -11311852, 10931924, -11931931}, | ||
993 | FieldElement{-16561513, 14112680, -8012645, 4817318, -8040464, -11414606, -22853429, 10856641, -20470770, 13434654}, | ||
994 | FieldElement{22759489, -10073434, -16766264, -1871422, 13637442, -10168091, 1765144, -12654326, 28445307, -5364710}, | ||
995 | }, | ||
996 | { | ||
997 | FieldElement{29875063, 12493613, 2795536, -3786330, 1710620, 15181182, -10195717, -8788675, 9074234, 1167180}, | ||
998 | FieldElement{-26205683, 11014233, -9842651, -2635485, -26908120, 7532294, -18716888, -9535498, 3843903, 9367684}, | ||
999 | FieldElement{-10969595, -6403711, 9591134, 9582310, 11349256, 108879, 16235123, 8601684, -139197, 4242895}, | ||
1000 | }, | ||
1001 | }, | ||
1002 | { | ||
1003 | { | ||
1004 | FieldElement{22092954, -13191123, -2042793, -11968512, 32186753, -11517388, -6574341, 2470660, -27417366, 16625501}, | ||
1005 | FieldElement{-11057722, 3042016, 13770083, -9257922, 584236, -544855, -7770857, 2602725, -27351616, 14247413}, | ||
1006 | FieldElement{6314175, -10264892, -32772502, 15957557, -10157730, 168750, -8618807, 14290061, 27108877, -1180880}, | ||
1007 | }, | ||
1008 | { | ||
1009 | FieldElement{-8586597, -7170966, 13241782, 10960156, -32991015, -13794596, 33547976, -11058889, -27148451, 981874}, | ||
1010 | FieldElement{22833440, 9293594, -32649448, -13618667, -9136966, 14756819, -22928859, -13970780, -10479804, -16197962}, | ||
1011 | FieldElement{-7768587, 3326786, -28111797, 10783824, 19178761, 14905060, 22680049, 13906969, -15933690, 3797899}, | ||
1012 | }, | ||
1013 | { | ||
1014 | FieldElement{21721356, -4212746, -12206123, 9310182, -3882239, -13653110, 23740224, -2709232, 20491983, -8042152}, | ||
1015 | FieldElement{9209270, -15135055, -13256557, -6167798, -731016, 15289673, 25947805, 15286587, 30997318, -6703063}, | ||
1016 | FieldElement{7392032, 16618386, 23946583, -8039892, -13265164, -1533858, -14197445, -2321576, 17649998, -250080}, | ||
1017 | }, | ||
1018 | { | ||
1019 | FieldElement{-9301088, -14193827, 30609526, -3049543, -25175069, -1283752, -15241566, -9525724, -2233253, 7662146}, | ||
1020 | FieldElement{-17558673, 1763594, -33114336, 15908610, -30040870, -12174295, 7335080, -8472199, -3174674, 3440183}, | ||
1021 | FieldElement{-19889700, -5977008, -24111293, -9688870, 10799743, -16571957, 40450, -4431835, 4862400, 1133}, | ||
1022 | }, | ||
1023 | { | ||
1024 | FieldElement{-32856209, -7873957, -5422389, 14860950, -16319031, 7956142, 7258061, 311861, -30594991, -7379421}, | ||
1025 | FieldElement{-3773428, -1565936, 28985340, 7499440, 24445838, 9325937, 29727763, 16527196, 18278453, 15405622}, | ||
1026 | FieldElement{-4381906, 8508652, -19898366, -3674424, -5984453, 15149970, -13313598, 843523, -21875062, 13626197}, | ||
1027 | }, | ||
1028 | { | ||
1029 | FieldElement{2281448, -13487055, -10915418, -2609910, 1879358, 16164207, -10783882, 3953792, 13340839, 15928663}, | ||
1030 | FieldElement{31727126, -7179855, -18437503, -8283652, 2875793, -16390330, -25269894, -7014826, -23452306, 5964753}, | ||
1031 | FieldElement{4100420, -5959452, -17179337, 6017714, -18705837, 12227141, -26684835, 11344144, 2538215, -7570755}, | ||
1032 | }, | ||
1033 | { | ||
1034 | FieldElement{-9433605, 6123113, 11159803, -2156608, 30016280, 14966241, -20474983, 1485421, -629256, -15958862}, | ||
1035 | FieldElement{-26804558, 4260919, 11851389, 9658551, -32017107, 16367492, -20205425, -13191288, 11659922, -11115118}, | ||
1036 | FieldElement{26180396, 10015009, -30844224, -8581293, 5418197, 9480663, 2231568, -10170080, 33100372, -1306171}, | ||
1037 | }, | ||
1038 | { | ||
1039 | FieldElement{15121113, -5201871, -10389905, 15427821, -27509937, -15992507, 21670947, 4486675, -5931810, -14466380}, | ||
1040 | FieldElement{16166486, -9483733, -11104130, 6023908, -31926798, -1364923, 2340060, -16254968, -10735770, -10039824}, | ||
1041 | FieldElement{28042865, -3557089, -12126526, 12259706, -3717498, -6945899, 6766453, -8689599, 18036436, 5803270}, | ||
1042 | }, | ||
1043 | }, | ||
1044 | { | ||
1045 | { | ||
1046 | FieldElement{-817581, 6763912, 11803561, 1585585, 10958447, -2671165, 23855391, 4598332, -6159431, -14117438}, | ||
1047 | FieldElement{-31031306, -14256194, 17332029, -2383520, 31312682, -5967183, 696309, 50292, -20095739, 11763584}, | ||
1048 | FieldElement{-594563, -2514283, -32234153, 12643980, 12650761, 14811489, 665117, -12613632, -19773211, -10713562}, | ||
1049 | }, | ||
1050 | { | ||
1051 | FieldElement{30464590, -11262872, -4127476, -12734478, 19835327, -7105613, -24396175, 2075773, -17020157, 992471}, | ||
1052 | FieldElement{18357185, -6994433, 7766382, 16342475, -29324918, 411174, 14578841, 8080033, -11574335, -10601610}, | ||
1053 | FieldElement{19598397, 10334610, 12555054, 2555664, 18821899, -10339780, 21873263, 16014234, 26224780, 16452269}, | ||
1054 | }, | ||
1055 | { | ||
1056 | FieldElement{-30223925, 5145196, 5944548, 16385966, 3976735, 2009897, -11377804, -7618186, -20533829, 3698650}, | ||
1057 | FieldElement{14187449, 3448569, -10636236, -10810935, -22663880, -3433596, 7268410, -10890444, 27394301, 12015369}, | ||
1058 | FieldElement{19695761, 16087646, 28032085, 12999827, 6817792, 11427614, 20244189, -1312777, -13259127, -3402461}, | ||
1059 | }, | ||
1060 | { | ||
1061 | FieldElement{30860103, 12735208, -1888245, -4699734, -16974906, 2256940, -8166013, 12298312, -8550524, -10393462}, | ||
1062 | FieldElement{-5719826, -11245325, -1910649, 15569035, 26642876, -7587760, -5789354, -15118654, -4976164, 12651793}, | ||
1063 | FieldElement{-2848395, 9953421, 11531313, -5282879, 26895123, -12697089, -13118820, -16517902, 9768698, -2533218}, | ||
1064 | }, | ||
1065 | { | ||
1066 | FieldElement{-24719459, 1894651, -287698, -4704085, 15348719, -8156530, 32767513, 12765450, 4940095, 10678226}, | ||
1067 | FieldElement{18860224, 15980149, -18987240, -1562570, -26233012, -11071856, -7843882, 13944024, -24372348, 16582019}, | ||
1068 | FieldElement{-15504260, 4970268, -29893044, 4175593, -20993212, -2199756, -11704054, 15444560, -11003761, 7989037}, | ||
1069 | }, | ||
1070 | { | ||
1071 | FieldElement{31490452, 5568061, -2412803, 2182383, -32336847, 4531686, -32078269, 6200206, -19686113, -14800171}, | ||
1072 | FieldElement{-17308668, -15879940, -31522777, -2831, -32887382, 16375549, 8680158, -16371713, 28550068, -6857132}, | ||
1073 | FieldElement{-28126887, -5688091, 16837845, -1820458, -6850681, 12700016, -30039981, 4364038, 1155602, 5988841}, | ||
1074 | }, | ||
1075 | { | ||
1076 | FieldElement{21890435, -13272907, -12624011, 12154349, -7831873, 15300496, 23148983, -4470481, 24618407, 8283181}, | ||
1077 | FieldElement{-33136107, -10512751, 9975416, 6841041, -31559793, 16356536, 3070187, -7025928, 1466169, 10740210}, | ||
1078 | FieldElement{-1509399, -15488185, -13503385, -10655916, 32799044, 909394, -13938903, -5779719, -32164649, -15327040}, | ||
1079 | }, | ||
1080 | { | ||
1081 | FieldElement{3960823, -14267803, -28026090, -15918051, -19404858, 13146868, 15567327, 951507, -3260321, -573935}, | ||
1082 | FieldElement{24740841, 5052253, -30094131, 8961361, 25877428, 6165135, -24368180, 14397372, -7380369, -6144105}, | ||
1083 | FieldElement{-28888365, 3510803, -28103278, -1158478, -11238128, -10631454, -15441463, -14453128, -1625486, -6494814}, | ||
1084 | }, | ||
1085 | }, | ||
1086 | { | ||
1087 | { | ||
1088 | FieldElement{793299, -9230478, 8836302, -6235707, -27360908, -2369593, 33152843, -4885251, -9906200, -621852}, | ||
1089 | FieldElement{5666233, 525582, 20782575, -8038419, -24538499, 14657740, 16099374, 1468826, -6171428, -15186581}, | ||
1090 | FieldElement{-4859255, -3779343, -2917758, -6748019, 7778750, 11688288, -30404353, -9871238, -1558923, -9863646}, | ||
1091 | }, | ||
1092 | { | ||
1093 | FieldElement{10896332, -7719704, 824275, 472601, -19460308, 3009587, 25248958, 14783338, -30581476, -15757844}, | ||
1094 | FieldElement{10566929, 12612572, -31944212, 11118703, -12633376, 12362879, 21752402, 8822496, 24003793, 14264025}, | ||
1095 | FieldElement{27713862, -7355973, -11008240, 9227530, 27050101, 2504721, 23886875, -13117525, 13958495, -5732453}, | ||
1096 | }, | ||
1097 | { | ||
1098 | FieldElement{-23481610, 4867226, -27247128, 3900521, 29838369, -8212291, -31889399, -10041781, 7340521, -15410068}, | ||
1099 | FieldElement{4646514, -8011124, -22766023, -11532654, 23184553, 8566613, 31366726, -1381061, -15066784, -10375192}, | ||
1100 | FieldElement{-17270517, 12723032, -16993061, 14878794, 21619651, -6197576, 27584817, 3093888, -8843694, 3849921}, | ||
1101 | }, | ||
1102 | { | ||
1103 | FieldElement{-9064912, 2103172, 25561640, -15125738, -5239824, 9582958, 32477045, -9017955, 5002294, -15550259}, | ||
1104 | FieldElement{-12057553, -11177906, 21115585, -13365155, 8808712, -12030708, 16489530, 13378448, -25845716, 12741426}, | ||
1105 | FieldElement{-5946367, 10645103, -30911586, 15390284, -3286982, -7118677, 24306472, 15852464, 28834118, -7646072}, | ||
1106 | }, | ||
1107 | { | ||
1108 | FieldElement{-17335748, -9107057, -24531279, 9434953, -8472084, -583362, -13090771, 455841, 20461858, 5491305}, | ||
1109 | FieldElement{13669248, -16095482, -12481974, -10203039, -14569770, -11893198, -24995986, 11293807, -28588204, -9421832}, | ||
1110 | FieldElement{28497928, 6272777, -33022994, 14470570, 8906179, -1225630, 18504674, -14165166, 29867745, -8795943}, | ||
1111 | }, | ||
1112 | { | ||
1113 | FieldElement{-16207023, 13517196, -27799630, -13697798, 24009064, -6373891, -6367600, -13175392, 22853429, -4012011}, | ||
1114 | FieldElement{24191378, 16712145, -13931797, 15217831, 14542237, 1646131, 18603514, -11037887, 12876623, -2112447}, | ||
1115 | FieldElement{17902668, 4518229, -411702, -2829247, 26878217, 5258055, -12860753, 608397, 16031844, 3723494}, | ||
1116 | }, | ||
1117 | { | ||
1118 | FieldElement{-28632773, 12763728, -20446446, 7577504, 33001348, -13017745, 17558842, -7872890, 23896954, -4314245}, | ||
1119 | FieldElement{-20005381, -12011952, 31520464, 605201, 2543521, 5991821, -2945064, 7229064, -9919646, -8826859}, | ||
1120 | FieldElement{28816045, 298879, -28165016, -15920938, 19000928, -1665890, -12680833, -2949325, -18051778, -2082915}, | ||
1121 | }, | ||
1122 | { | ||
1123 | FieldElement{16000882, -344896, 3493092, -11447198, -29504595, -13159789, 12577740, 16041268, -19715240, 7847707}, | ||
1124 | FieldElement{10151868, 10572098, 27312476, 7922682, 14825339, 4723128, -32855931, -6519018, -10020567, 3852848}, | ||
1125 | FieldElement{-11430470, 15697596, -21121557, -4420647, 5386314, 15063598, 16514493, -15932110, 29330899, -15076224}, | ||
1126 | }, | ||
1127 | }, | ||
1128 | { | ||
1129 | { | ||
1130 | FieldElement{-25499735, -4378794, -15222908, -6901211, 16615731, 2051784, 3303702, 15490, -27548796, 12314391}, | ||
1131 | FieldElement{15683520, -6003043, 18109120, -9980648, 15337968, -5997823, -16717435, 15921866, 16103996, -3731215}, | ||
1132 | FieldElement{-23169824, -10781249, 13588192, -1628807, -3798557, -1074929, -19273607, 5402699, -29815713, -9841101}, | ||
1133 | }, | ||
1134 | { | ||
1135 | FieldElement{23190676, 2384583, -32714340, 3462154, -29903655, -1529132, -11266856, 8911517, -25205859, 2739713}, | ||
1136 | FieldElement{21374101, -3554250, -33524649, 9874411, 15377179, 11831242, -33529904, 6134907, 4931255, 11987849}, | ||
1137 | FieldElement{-7732, -2978858, -16223486, 7277597, 105524, -322051, -31480539, 13861388, -30076310, 10117930}, | ||
1138 | }, | ||
1139 | { | ||
1140 | FieldElement{-29501170, -10744872, -26163768, 13051539, -25625564, 5089643, -6325503, 6704079, 12890019, 15728940}, | ||
1141 | FieldElement{-21972360, -11771379, -951059, -4418840, 14704840, 2695116, 903376, -10428139, 12885167, 8311031}, | ||
1142 | FieldElement{-17516482, 5352194, 10384213, -13811658, 7506451, 13453191, 26423267, 4384730, 1888765, -5435404}, | ||
1143 | }, | ||
1144 | { | ||
1145 | FieldElement{-25817338, -3107312, -13494599, -3182506, 30896459, -13921729, -32251644, -12707869, -19464434, -3340243}, | ||
1146 | FieldElement{-23607977, -2665774, -526091, 4651136, 5765089, 4618330, 6092245, 14845197, 17151279, -9854116}, | ||
1147 | FieldElement{-24830458, -12733720, -15165978, 10367250, -29530908, -265356, 22825805, -7087279, -16866484, 16176525}, | ||
1148 | }, | ||
1149 | { | ||
1150 | FieldElement{-23583256, 6564961, 20063689, 3798228, -4740178, 7359225, 2006182, -10363426, -28746253, -10197509}, | ||
1151 | FieldElement{-10626600, -4486402, -13320562, -5125317, 3432136, -6393229, 23632037, -1940610, 32808310, 1099883}, | ||
1152 | FieldElement{15030977, 5768825, -27451236, -2887299, -6427378, -15361371, -15277896, -6809350, 2051441, -15225865}, | ||
1153 | }, | ||
1154 | { | ||
1155 | FieldElement{-3362323, -7239372, 7517890, 9824992, 23555850, 295369, 5148398, -14154188, -22686354, 16633660}, | ||
1156 | FieldElement{4577086, -16752288, 13249841, -15304328, 19958763, -14537274, 18559670, -10759549, 8402478, -9864273}, | ||
1157 | FieldElement{-28406330, -1051581, -26790155, -907698, -17212414, -11030789, 9453451, -14980072, 17983010, 9967138}, | ||
1158 | }, | ||
1159 | { | ||
1160 | FieldElement{-25762494, 6524722, 26585488, 9969270, 24709298, 1220360, -1677990, 7806337, 17507396, 3651560}, | ||
1161 | FieldElement{-10420457, -4118111, 14584639, 15971087, -15768321, 8861010, 26556809, -5574557, -18553322, -11357135}, | ||
1162 | FieldElement{2839101, 14284142, 4029895, 3472686, 14402957, 12689363, -26642121, 8459447, -5605463, -7621941}, | ||
1163 | }, | ||
1164 | { | ||
1165 | FieldElement{-4839289, -3535444, 9744961, 2871048, 25113978, 3187018, -25110813, -849066, 17258084, -7977739}, | ||
1166 | FieldElement{18164541, -10595176, -17154882, -1542417, 19237078, -9745295, 23357533, -15217008, 26908270, 12150756}, | ||
1167 | FieldElement{-30264870, -7647865, 5112249, -7036672, -1499807, -6974257, 43168, -5537701, -32302074, 16215819}, | ||
1168 | }, | ||
1169 | }, | ||
1170 | { | ||
1171 | { | ||
1172 | FieldElement{-6898905, 9824394, -12304779, -4401089, -31397141, -6276835, 32574489, 12532905, -7503072, -8675347}, | ||
1173 | FieldElement{-27343522, -16515468, -27151524, -10722951, 946346, 16291093, 254968, 7168080, 21676107, -1943028}, | ||
1174 | FieldElement{21260961, -8424752, -16831886, -11920822, -23677961, 3968121, -3651949, -6215466, -3556191, -7913075}, | ||
1175 | }, | ||
1176 | { | ||
1177 | FieldElement{16544754, 13250366, -16804428, 15546242, -4583003, 12757258, -2462308, -8680336, -18907032, -9662799}, | ||
1178 | FieldElement{-2415239, -15577728, 18312303, 4964443, -15272530, -12653564, 26820651, 16690659, 25459437, -4564609}, | ||
1179 | FieldElement{-25144690, 11425020, 28423002, -11020557, -6144921, -15826224, 9142795, -2391602, -6432418, -1644817}, | ||
1180 | }, | ||
1181 | { | ||
1182 | FieldElement{-23104652, 6253476, 16964147, -3768872, -25113972, -12296437, -27457225, -16344658, 6335692, 7249989}, | ||
1183 | FieldElement{-30333227, 13979675, 7503222, -12368314, -11956721, -4621693, -30272269, 2682242, 25993170, -12478523}, | ||
1184 | FieldElement{4364628, 5930691, 32304656, -10044554, -8054781, 15091131, 22857016, -10598955, 31820368, 15075278}, | ||
1185 | }, | ||
1186 | { | ||
1187 | FieldElement{31879134, -8918693, 17258761, 90626, -8041836, -4917709, 24162788, -9650886, -17970238, 12833045}, | ||
1188 | FieldElement{19073683, 14851414, -24403169, -11860168, 7625278, 11091125, -19619190, 2074449, -9413939, 14905377}, | ||
1189 | FieldElement{24483667, -11935567, -2518866, -11547418, -1553130, 15355506, -25282080, 9253129, 27628530, -7555480}, | ||
1190 | }, | ||
1191 | { | ||
1192 | FieldElement{17597607, 8340603, 19355617, 552187, 26198470, -3176583, 4593324, -9157582, -14110875, 15297016}, | ||
1193 | FieldElement{510886, 14337390, -31785257, 16638632, 6328095, 2713355, -20217417, -11864220, 8683221, 2921426}, | ||
1194 | FieldElement{18606791, 11874196, 27155355, -5281482, -24031742, 6265446, -25178240, -1278924, 4674690, 13890525}, | ||
1195 | }, | ||
1196 | { | ||
1197 | FieldElement{13609624, 13069022, -27372361, -13055908, 24360586, 9592974, 14977157, 9835105, 4389687, 288396}, | ||
1198 | FieldElement{9922506, -519394, 13613107, 5883594, -18758345, -434263, -12304062, 8317628, 23388070, 16052080}, | ||
1199 | FieldElement{12720016, 11937594, -31970060, -5028689, 26900120, 8561328, -20155687, -11632979, -14754271, -10812892}, | ||
1200 | }, | ||
1201 | { | ||
1202 | FieldElement{15961858, 14150409, 26716931, -665832, -22794328, 13603569, 11829573, 7467844, -28822128, 929275}, | ||
1203 | FieldElement{11038231, -11582396, -27310482, -7316562, -10498527, -16307831, -23479533, -9371869, -21393143, 2465074}, | ||
1204 | FieldElement{20017163, -4323226, 27915242, 1529148, 12396362, 15675764, 13817261, -9658066, 2463391, -4622140}, | ||
1205 | }, | ||
1206 | { | ||
1207 | FieldElement{-16358878, -12663911, -12065183, 4996454, -1256422, 1073572, 9583558, 12851107, 4003896, 12673717}, | ||
1208 | FieldElement{-1731589, -15155870, -3262930, 16143082, 19294135, 13385325, 14741514, -9103726, 7903886, 2348101}, | ||
1209 | FieldElement{24536016, -16515207, 12715592, -3862155, 1511293, 10047386, -3842346, -7129159, -28377538, 10048127}, | ||
1210 | }, | ||
1211 | }, | ||
1212 | { | ||
1213 | { | ||
1214 | FieldElement{-12622226, -6204820, 30718825, 2591312, -10617028, 12192840, 18873298, -7297090, -32297756, 15221632}, | ||
1215 | FieldElement{-26478122, -11103864, 11546244, -1852483, 9180880, 7656409, -21343950, 2095755, 29769758, 6593415}, | ||
1216 | FieldElement{-31994208, -2907461, 4176912, 3264766, 12538965, -868111, 26312345, -6118678, 30958054, 8292160}, | ||
1217 | }, | ||
1218 | { | ||
1219 | FieldElement{31429822, -13959116, 29173532, 15632448, 12174511, -2760094, 32808831, 3977186, 26143136, -3148876}, | ||
1220 | FieldElement{22648901, 1402143, -22799984, 13746059, 7936347, 365344, -8668633, -1674433, -3758243, -2304625}, | ||
1221 | FieldElement{-15491917, 8012313, -2514730, -12702462, -23965846, -10254029, -1612713, -1535569, -16664475, 8194478}, | ||
1222 | }, | ||
1223 | { | ||
1224 | FieldElement{27338066, -7507420, -7414224, 10140405, -19026427, -6589889, 27277191, 8855376, 28572286, 3005164}, | ||
1225 | FieldElement{26287124, 4821776, 25476601, -4145903, -3764513, -15788984, -18008582, 1182479, -26094821, -13079595}, | ||
1226 | FieldElement{-7171154, 3178080, 23970071, 6201893, -17195577, -4489192, -21876275, -13982627, 32208683, -1198248}, | ||
1227 | }, | ||
1228 | { | ||
1229 | FieldElement{-16657702, 2817643, -10286362, 14811298, 6024667, 13349505, -27315504, -10497842, -27672585, -11539858}, | ||
1230 | FieldElement{15941029, -9405932, -21367050, 8062055, 31876073, -238629, -15278393, -1444429, 15397331, -4130193}, | ||
1231 | FieldElement{8934485, -13485467, -23286397, -13423241, -32446090, 14047986, 31170398, -1441021, -27505566, 15087184}, | ||
1232 | }, | ||
1233 | { | ||
1234 | FieldElement{-18357243, -2156491, 24524913, -16677868, 15520427, -6360776, -15502406, 11461896, 16788528, -5868942}, | ||
1235 | FieldElement{-1947386, 16013773, 21750665, 3714552, -17401782, -16055433, -3770287, -10323320, 31322514, -11615635}, | ||
1236 | FieldElement{21426655, -5650218, -13648287, -5347537, -28812189, -4920970, -18275391, -14621414, 13040862, -12112948}, | ||
1237 | }, | ||
1238 | { | ||
1239 | FieldElement{11293895, 12478086, -27136401, 15083750, -29307421, 14748872, 14555558, -13417103, 1613711, 4896935}, | ||
1240 | FieldElement{-25894883, 15323294, -8489791, -8057900, 25967126, -13425460, 2825960, -4897045, -23971776, -11267415}, | ||
1241 | FieldElement{-15924766, -5229880, -17443532, 6410664, 3622847, 10243618, 20615400, 12405433, -23753030, -8436416}, | ||
1242 | }, | ||
1243 | { | ||
1244 | FieldElement{-7091295, 12556208, -20191352, 9025187, -17072479, 4333801, 4378436, 2432030, 23097949, -566018}, | ||
1245 | FieldElement{4565804, -16025654, 20084412, -7842817, 1724999, 189254, 24767264, 10103221, -18512313, 2424778}, | ||
1246 | FieldElement{366633, -11976806, 8173090, -6890119, 30788634, 5745705, -7168678, 1344109, -3642553, 12412659}, | ||
1247 | }, | ||
1248 | { | ||
1249 | FieldElement{-24001791, 7690286, 14929416, -168257, -32210835, -13412986, 24162697, -15326504, -3141501, 11179385}, | ||
1250 | FieldElement{18289522, -14724954, 8056945, 16430056, -21729724, 7842514, -6001441, -1486897, -18684645, -11443503}, | ||
1251 | FieldElement{476239, 6601091, -6152790, -9723375, 17503545, -4863900, 27672959, 13403813, 11052904, 5219329}, | ||
1252 | }, | ||
1253 | }, | ||
1254 | { | ||
1255 | { | ||
1256 | FieldElement{20678546, -8375738, -32671898, 8849123, -5009758, 14574752, 31186971, -3973730, 9014762, -8579056}, | ||
1257 | FieldElement{-13644050, -10350239, -15962508, 5075808, -1514661, -11534600, -33102500, 9160280, 8473550, -3256838}, | ||
1258 | FieldElement{24900749, 14435722, 17209120, -15292541, -22592275, 9878983, -7689309, -16335821, -24568481, 11788948}, | ||
1259 | }, | ||
1260 | { | ||
1261 | FieldElement{-3118155, -11395194, -13802089, 14797441, 9652448, -6845904, -20037437, 10410733, -24568470, -1458691}, | ||
1262 | FieldElement{-15659161, 16736706, -22467150, 10215878, -9097177, 7563911, 11871841, -12505194, -18513325, 8464118}, | ||
1263 | FieldElement{-23400612, 8348507, -14585951, -861714, -3950205, -6373419, 14325289, 8628612, 33313881, -8370517}, | ||
1264 | }, | ||
1265 | { | ||
1266 | FieldElement{-20186973, -4967935, 22367356, 5271547, -1097117, -4788838, -24805667, -10236854, -8940735, -5818269}, | ||
1267 | FieldElement{-6948785, -1795212, -32625683, -16021179, 32635414, -7374245, 15989197, -12838188, 28358192, -4253904}, | ||
1268 | FieldElement{-23561781, -2799059, -32351682, -1661963, -9147719, 10429267, -16637684, 4072016, -5351664, 5596589}, | ||
1269 | }, | ||
1270 | { | ||
1271 | FieldElement{-28236598, -3390048, 12312896, 6213178, 3117142, 16078565, 29266239, 2557221, 1768301, 15373193}, | ||
1272 | FieldElement{-7243358, -3246960, -4593467, -7553353, -127927, -912245, -1090902, -4504991, -24660491, 3442910}, | ||
1273 | FieldElement{-30210571, 5124043, 14181784, 8197961, 18964734, -11939093, 22597931, 7176455, -18585478, 13365930}, | ||
1274 | }, | ||
1275 | { | ||
1276 | FieldElement{-7877390, -1499958, 8324673, 4690079, 6261860, 890446, 24538107, -8570186, -9689599, -3031667}, | ||
1277 | FieldElement{25008904, -10771599, -4305031, -9638010, 16265036, 15721635, 683793, -11823784, 15723479, -15163481}, | ||
1278 | FieldElement{-9660625, 12374379, -27006999, -7026148, -7724114, -12314514, 11879682, 5400171, 519526, -1235876}, | ||
1279 | }, | ||
1280 | { | ||
1281 | FieldElement{22258397, -16332233, -7869817, 14613016, -22520255, -2950923, -20353881, 7315967, 16648397, 7605640}, | ||
1282 | FieldElement{-8081308, -8464597, -8223311, 9719710, 19259459, -15348212, 23994942, -5281555, -9468848, 4763278}, | ||
1283 | FieldElement{-21699244, 9220969, -15730624, 1084137, -25476107, -2852390, 31088447, -7764523, -11356529, 728112}, | ||
1284 | }, | ||
1285 | { | ||
1286 | FieldElement{26047220, -11751471, -6900323, -16521798, 24092068, 9158119, -4273545, -12555558, -29365436, -5498272}, | ||
1287 | FieldElement{17510331, -322857, 5854289, 8403524, 17133918, -3112612, -28111007, 12327945, 10750447, 10014012}, | ||
1288 | FieldElement{-10312768, 3936952, 9156313, -8897683, 16498692, -994647, -27481051, -666732, 3424691, 7540221}, | ||
1289 | }, | ||
1290 | { | ||
1291 | FieldElement{30322361, -6964110, 11361005, -4143317, 7433304, 4989748, -7071422, -16317219, -9244265, 15258046}, | ||
1292 | FieldElement{13054562, -2779497, 19155474, 469045, -12482797, 4566042, 5631406, 2711395, 1062915, -5136345}, | ||
1293 | FieldElement{-19240248, -11254599, -29509029, -7499965, -5835763, 13005411, -6066489, 12194497, 32960380, 1459310}, | ||
1294 | }, | ||
1295 | }, | ||
1296 | { | ||
1297 | { | ||
1298 | FieldElement{19852034, 7027924, 23669353, 10020366, 8586503, -6657907, 394197, -6101885, 18638003, -11174937}, | ||
1299 | FieldElement{31395534, 15098109, 26581030, 8030562, -16527914, -5007134, 9012486, -7584354, -6643087, -5442636}, | ||
1300 | FieldElement{-9192165, -2347377, -1997099, 4529534, 25766844, 607986, -13222, 9677543, -32294889, -6456008}, | ||
1301 | }, | ||
1302 | { | ||
1303 | FieldElement{-2444496, -149937, 29348902, 8186665, 1873760, 12489863, -30934579, -7839692, -7852844, -8138429}, | ||
1304 | FieldElement{-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576}, | ||
1305 | FieldElement{31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066}, | ||
1306 | }, | ||
1307 | { | ||
1308 | FieldElement{-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490}, | ||
1309 | FieldElement{-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104}, | ||
1310 | FieldElement{33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053}, | ||
1311 | }, | ||
1312 | { | ||
1313 | FieldElement{31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275}, | ||
1314 | FieldElement{-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511}, | ||
1315 | FieldElement{22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095}, | ||
1316 | }, | ||
1317 | { | ||
1318 | FieldElement{-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439}, | ||
1319 | FieldElement{23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939}, | ||
1320 | FieldElement{-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424}, | ||
1321 | }, | ||
1322 | { | ||
1323 | FieldElement{2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310}, | ||
1324 | FieldElement{3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608}, | ||
1325 | FieldElement{-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079}, | ||
1326 | }, | ||
1327 | { | ||
1328 | FieldElement{-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101}, | ||
1329 | FieldElement{21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418}, | ||
1330 | FieldElement{18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576}, | ||
1331 | }, | ||
1332 | { | ||
1333 | FieldElement{30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356}, | ||
1334 | FieldElement{9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996}, | ||
1335 | FieldElement{-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099}, | ||
1336 | }, | ||
1337 | }, | ||
1338 | { | ||
1339 | { | ||
1340 | FieldElement{-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728}, | ||
1341 | FieldElement{-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658}, | ||
1342 | FieldElement{-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242}, | ||
1343 | }, | ||
1344 | { | ||
1345 | FieldElement{-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001}, | ||
1346 | FieldElement{-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766}, | ||
1347 | FieldElement{18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373}, | ||
1348 | }, | ||
1349 | { | ||
1350 | FieldElement{26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458}, | ||
1351 | FieldElement{-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628}, | ||
1352 | FieldElement{-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657}, | ||
1353 | }, | ||
1354 | { | ||
1355 | FieldElement{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062}, | ||
1356 | FieldElement{25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616}, | ||
1357 | FieldElement{31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014}, | ||
1358 | }, | ||
1359 | { | ||
1360 | FieldElement{24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383}, | ||
1361 | FieldElement{-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814}, | ||
1362 | FieldElement{-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718}, | ||
1363 | }, | ||
1364 | { | ||
1365 | FieldElement{30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417}, | ||
1366 | FieldElement{2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222}, | ||
1367 | FieldElement{33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444}, | ||
1368 | }, | ||
1369 | { | ||
1370 | FieldElement{-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597}, | ||
1371 | FieldElement{23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970}, | ||
1372 | FieldElement{1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799}, | ||
1373 | }, | ||
1374 | { | ||
1375 | FieldElement{-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647}, | ||
1376 | FieldElement{13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511}, | ||
1377 | FieldElement{-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032}, | ||
1378 | }, | ||
1379 | }, | ||
1380 | { | ||
1381 | { | ||
1382 | FieldElement{9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834}, | ||
1383 | FieldElement{-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461}, | ||
1384 | FieldElement{29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062}, | ||
1385 | }, | ||
1386 | { | ||
1387 | FieldElement{-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516}, | ||
1388 | FieldElement{-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547}, | ||
1389 | FieldElement{-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240}, | ||
1390 | }, | ||
1391 | { | ||
1392 | FieldElement{-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038}, | ||
1393 | FieldElement{-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741}, | ||
1394 | FieldElement{16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103}, | ||
1395 | }, | ||
1396 | { | ||
1397 | FieldElement{-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747}, | ||
1398 | FieldElement{-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323}, | ||
1399 | FieldElement{31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016}, | ||
1400 | }, | ||
1401 | { | ||
1402 | FieldElement{-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373}, | ||
1403 | FieldElement{15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228}, | ||
1404 | FieldElement{-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141}, | ||
1405 | }, | ||
1406 | { | ||
1407 | FieldElement{16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399}, | ||
1408 | FieldElement{11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831}, | ||
1409 | FieldElement{-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376}, | ||
1410 | }, | ||
1411 | { | ||
1412 | FieldElement{-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313}, | ||
1413 | FieldElement{-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958}, | ||
1414 | FieldElement{-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577}, | ||
1415 | }, | ||
1416 | { | ||
1417 | FieldElement{-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743}, | ||
1418 | FieldElement{29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684}, | ||
1419 | FieldElement{-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476}, | ||
1420 | }, | ||
1421 | }, | ||
1422 | } | ||
diff --git a/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go b/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go deleted file mode 100644 index 5f8b994..0000000 --- a/vendor/golang.org/x/crypto/ed25519/internal/edwards25519/edwards25519.go +++ /dev/null | |||
@@ -1,1771 +0,0 @@ | |||
1 | // Copyright 2016 The Go Authors. All rights reserved. | ||
2 | // Use of this source code is governed by a BSD-style | ||
3 | // license that can be found in the LICENSE file. | ||
4 | |||
5 | package edwards25519 | ||
6 | |||
7 | // This code is a port of the public domain, “ref10” implementation of ed25519 | ||
8 | // from SUPERCOP. | ||
9 | |||
10 | // FieldElement represents an element of the field GF(2^255 - 19). An element | ||
11 | // t, entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77 | ||
12 | // t[3]+2^102 t[4]+...+2^230 t[9]. Bounds on each t[i] vary depending on | ||
13 | // context. | ||
14 | type FieldElement [10]int32 | ||
15 | |||
16 | var zero FieldElement | ||
17 | |||
18 | func FeZero(fe *FieldElement) { | ||
19 | copy(fe[:], zero[:]) | ||
20 | } | ||
21 | |||
22 | func FeOne(fe *FieldElement) { | ||
23 | FeZero(fe) | ||
24 | fe[0] = 1 | ||
25 | } | ||
26 | |||
27 | func FeAdd(dst, a, b *FieldElement) { | ||
28 | dst[0] = a[0] + b[0] | ||
29 | dst[1] = a[1] + b[1] | ||
30 | dst[2] = a[2] + b[2] | ||
31 | dst[3] = a[3] + b[3] | ||
32 | dst[4] = a[4] + b[4] | ||
33 | dst[5] = a[5] + b[5] | ||
34 | dst[6] = a[6] + b[6] | ||
35 | dst[7] = a[7] + b[7] | ||
36 | dst[8] = a[8] + b[8] | ||
37 | dst[9] = a[9] + b[9] | ||
38 | } | ||
39 | |||
40 | func FeSub(dst, a, b *FieldElement) { | ||
41 | dst[0] = a[0] - b[0] | ||
42 | dst[1] = a[1] - b[1] | ||
43 | dst[2] = a[2] - b[2] | ||
44 | dst[3] = a[3] - b[3] | ||
45 | dst[4] = a[4] - b[4] | ||
46 | dst[5] = a[5] - b[5] | ||
47 | dst[6] = a[6] - b[6] | ||
48 | dst[7] = a[7] - b[7] | ||
49 | dst[8] = a[8] - b[8] | ||
50 | dst[9] = a[9] - b[9] | ||
51 | } | ||
52 | |||
53 | func FeCopy(dst, src *FieldElement) { | ||
54 | copy(dst[:], src[:]) | ||
55 | } | ||
56 | |||
57 | // Replace (f,g) with (g,g) if b == 1; | ||
58 | // replace (f,g) with (f,g) if b == 0. | ||
59 | // | ||
60 | // Preconditions: b in {0,1}. | ||
61 | func FeCMove(f, g *FieldElement, b int32) { | ||
62 | b = -b | ||
63 | f[0] ^= b & (f[0] ^ g[0]) | ||
64 | f[1] ^= b & (f[1] ^ g[1]) | ||
65 | f[2] ^= b & (f[2] ^ g[2]) | ||
66 | f[3] ^= b & (f[3] ^ g[3]) | ||
67 | f[4] ^= b & (f[4] ^ g[4]) | ||
68 | f[5] ^= b & (f[5] ^ g[5]) | ||
69 | f[6] ^= b & (f[6] ^ g[6]) | ||
70 | f[7] ^= b & (f[7] ^ g[7]) | ||
71 | f[8] ^= b & (f[8] ^ g[8]) | ||
72 | f[9] ^= b & (f[9] ^ g[9]) | ||
73 | } | ||
74 | |||
75 | func load3(in []byte) int64 { | ||
76 | var r int64 | ||
77 | r = int64(in[0]) | ||
78 | r |= int64(in[1]) << 8 | ||
79 | r |= int64(in[2]) << 16 | ||
80 | return r | ||
81 | } | ||
82 | |||
83 | func load4(in []byte) int64 { | ||
84 | var r int64 | ||
85 | r = int64(in[0]) | ||
86 | r |= int64(in[1]) << 8 | ||
87 | r |= int64(in[2]) << 16 | ||
88 | r |= int64(in[3]) << 24 | ||
89 | return r | ||
90 | } | ||
91 | |||
92 | func FeFromBytes(dst *FieldElement, src *[32]byte) { | ||
93 | h0 := load4(src[:]) | ||
94 | h1 := load3(src[4:]) << 6 | ||
95 | h2 := load3(src[7:]) << 5 | ||
96 | h3 := load3(src[10:]) << 3 | ||
97 | h4 := load3(src[13:]) << 2 | ||
98 | h5 := load4(src[16:]) | ||
99 | h6 := load3(src[20:]) << 7 | ||
100 | h7 := load3(src[23:]) << 5 | ||
101 | h8 := load3(src[26:]) << 4 | ||
102 | h9 := (load3(src[29:]) & 8388607) << 2 | ||
103 | |||
104 | FeCombine(dst, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) | ||
105 | } | ||
106 | |||
107 | // FeToBytes marshals h to s. | ||
108 | // Preconditions: | ||
109 | // |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | ||
110 | // | ||
111 | // Write p=2^255-19; q=floor(h/p). | ||
112 | // Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). | ||
113 | // | ||
114 | // Proof: | ||
115 | // Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. | ||
116 | // Also have |h-2^230 h9|<2^230 so |19 2^(-255)(h-2^230 h9)|<1/4. | ||
117 | // | ||
118 | // Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). | ||
119 | // Then 0<y<1. | ||
120 | // | ||
121 | // Write r=h-pq. | ||
122 | // Have 0<=r<=p-1=2^255-20. | ||
123 | // Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1. | ||
124 | // | ||
125 | // Write x=r+19(2^-255)r+y. | ||
126 | // Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q. | ||
127 | // | ||
128 | // Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1)) | ||
129 | // so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q. | ||
130 | func FeToBytes(s *[32]byte, h *FieldElement) { | ||
131 | var carry [10]int32 | ||
132 | |||
133 | q := (19*h[9] + (1 << 24)) >> 25 | ||
134 | q = (h[0] + q) >> 26 | ||
135 | q = (h[1] + q) >> 25 | ||
136 | q = (h[2] + q) >> 26 | ||
137 | q = (h[3] + q) >> 25 | ||
138 | q = (h[4] + q) >> 26 | ||
139 | q = (h[5] + q) >> 25 | ||
140 | q = (h[6] + q) >> 26 | ||
141 | q = (h[7] + q) >> 25 | ||
142 | q = (h[8] + q) >> 26 | ||
143 | q = (h[9] + q) >> 25 | ||
144 | |||
145 | // Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. | ||
146 | h[0] += 19 * q | ||
147 | // Goal: Output h-2^255 q, which is between 0 and 2^255-20. | ||
148 | |||
149 | carry[0] = h[0] >> 26 | ||
150 | h[1] += carry[0] | ||
151 | h[0] -= carry[0] << 26 | ||
152 | carry[1] = h[1] >> 25 | ||
153 | h[2] += carry[1] | ||
154 | h[1] -= carry[1] << 25 | ||
155 | carry[2] = h[2] >> 26 | ||
156 | h[3] += carry[2] | ||
157 | h[2] -= carry[2] << 26 | ||
158 | carry[3] = h[3] >> 25 | ||
159 | h[4] += carry[3] | ||
160 | h[3] -= carry[3] << 25 | ||
161 | carry[4] = h[4] >> 26 | ||
162 | h[5] += carry[4] | ||
163 | h[4] -= carry[4] << 26 | ||
164 | carry[5] = h[5] >> 25 | ||
165 | h[6] += carry[5] | ||
166 | h[5] -= carry[5] << 25 | ||
167 | carry[6] = h[6] >> 26 | ||
168 | h[7] += carry[6] | ||
169 | h[6] -= carry[6] << 26 | ||
170 | carry[7] = h[7] >> 25 | ||
171 | h[8] += carry[7] | ||
172 | h[7] -= carry[7] << 25 | ||
173 | carry[8] = h[8] >> 26 | ||
174 | h[9] += carry[8] | ||
175 | h[8] -= carry[8] << 26 | ||
176 | carry[9] = h[9] >> 25 | ||
177 | h[9] -= carry[9] << 25 | ||
178 | // h10 = carry9 | ||
179 | |||
180 | // Goal: Output h[0]+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. | ||
181 | // Have h[0]+...+2^230 h[9] between 0 and 2^255-1; | ||
182 | // evidently 2^255 h10-2^255 q = 0. | ||
183 | // Goal: Output h[0]+...+2^230 h[9]. | ||
184 | |||
185 | s[0] = byte(h[0] >> 0) | ||
186 | s[1] = byte(h[0] >> 8) | ||
187 | s[2] = byte(h[0] >> 16) | ||
188 | s[3] = byte((h[0] >> 24) | (h[1] << 2)) | ||
189 | s[4] = byte(h[1] >> 6) | ||
190 | s[5] = byte(h[1] >> 14) | ||
191 | s[6] = byte((h[1] >> 22) | (h[2] << 3)) | ||
192 | s[7] = byte(h[2] >> 5) | ||
193 | s[8] = byte(h[2] >> 13) | ||
194 | s[9] = byte((h[2] >> 21) | (h[3] << 5)) | ||
195 | s[10] = byte(h[3] >> 3) | ||
196 | s[11] = byte(h[3] >> 11) | ||
197 | s[12] = byte((h[3] >> 19) | (h[4] << 6)) | ||
198 | s[13] = byte(h[4] >> 2) | ||
199 | s[14] = byte(h[4] >> 10) | ||
200 | s[15] = byte(h[4] >> 18) | ||
201 | s[16] = byte(h[5] >> 0) | ||
202 | s[17] = byte(h[5] >> 8) | ||
203 | s[18] = byte(h[5] >> 16) | ||
204 | s[19] = byte((h[5] >> 24) | (h[6] << 1)) | ||
205 | s[20] = byte(h[6] >> 7) | ||
206 | s[21] = byte(h[6] >> 15) | ||
207 | s[22] = byte((h[6] >> 23) | (h[7] << 3)) | ||
208 | s[23] = byte(h[7] >> 5) | ||
209 | s[24] = byte(h[7] >> 13) | ||
210 | s[25] = byte((h[7] >> 21) | (h[8] << 4)) | ||
211 | s[26] = byte(h[8] >> 4) | ||
212 | s[27] = byte(h[8] >> 12) | ||
213 | s[28] = byte((h[8] >> 20) | (h[9] << 6)) | ||
214 | s[29] = byte(h[9] >> 2) | ||
215 | s[30] = byte(h[9] >> 10) | ||
216 | s[31] = byte(h[9] >> 18) | ||
217 | } | ||
218 | |||
219 | func FeIsNegative(f *FieldElement) byte { | ||
220 | var s [32]byte | ||
221 | FeToBytes(&s, f) | ||
222 | return s[0] & 1 | ||
223 | } | ||
224 | |||
225 | func FeIsNonZero(f *FieldElement) int32 { | ||
226 | var s [32]byte | ||
227 | FeToBytes(&s, f) | ||
228 | var x uint8 | ||
229 | for _, b := range s { | ||
230 | x |= b | ||
231 | } | ||
232 | x |= x >> 4 | ||
233 | x |= x >> 2 | ||
234 | x |= x >> 1 | ||
235 | return int32(x & 1) | ||
236 | } | ||
237 | |||
238 | // FeNeg sets h = -f | ||
239 | // | ||
240 | // Preconditions: | ||
241 | // |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | ||
242 | // | ||
243 | // Postconditions: | ||
244 | // |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | ||
245 | func FeNeg(h, f *FieldElement) { | ||
246 | h[0] = -f[0] | ||
247 | h[1] = -f[1] | ||
248 | h[2] = -f[2] | ||
249 | h[3] = -f[3] | ||
250 | h[4] = -f[4] | ||
251 | h[5] = -f[5] | ||
252 | h[6] = -f[6] | ||
253 | h[7] = -f[7] | ||
254 | h[8] = -f[8] | ||
255 | h[9] = -f[9] | ||
256 | } | ||
257 | |||
258 | func FeCombine(h *FieldElement, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 int64) { | ||
259 | var c0, c1, c2, c3, c4, c5, c6, c7, c8, c9 int64 | ||
260 | |||
261 | /* | ||
262 | |h0| <= (1.1*1.1*2^52*(1+19+19+19+19)+1.1*1.1*2^50*(38+38+38+38+38)) | ||
263 | i.e. |h0| <= 1.2*2^59; narrower ranges for h2, h4, h6, h8 | ||
264 | |h1| <= (1.1*1.1*2^51*(1+1+19+19+19+19+19+19+19+19)) | ||
265 | i.e. |h1| <= 1.5*2^58; narrower ranges for h3, h5, h7, h9 | ||
266 | */ | ||
267 | |||
268 | c0 = (h0 + (1 << 25)) >> 26 | ||
269 | h1 += c0 | ||
270 | h0 -= c0 << 26 | ||
271 | c4 = (h4 + (1 << 25)) >> 26 | ||
272 | h5 += c4 | ||
273 | h4 -= c4 << 26 | ||
274 | /* |h0| <= 2^25 */ | ||
275 | /* |h4| <= 2^25 */ | ||
276 | /* |h1| <= 1.51*2^58 */ | ||
277 | /* |h5| <= 1.51*2^58 */ | ||
278 | |||
279 | c1 = (h1 + (1 << 24)) >> 25 | ||
280 | h2 += c1 | ||
281 | h1 -= c1 << 25 | ||
282 | c5 = (h5 + (1 << 24)) >> 25 | ||
283 | h6 += c5 | ||
284 | h5 -= c5 << 25 | ||
285 | /* |h1| <= 2^24; from now on fits into int32 */ | ||
286 | /* |h5| <= 2^24; from now on fits into int32 */ | ||
287 | /* |h2| <= 1.21*2^59 */ | ||
288 | /* |h6| <= 1.21*2^59 */ | ||
289 | |||
290 | c2 = (h2 + (1 << 25)) >> 26 | ||
291 | h3 += c2 | ||
292 | h2 -= c2 << 26 | ||
293 | c6 = (h6 + (1 << 25)) >> 26 | ||
294 | h7 += c6 | ||
295 | h6 -= c6 << 26 | ||
296 | /* |h2| <= 2^25; from now on fits into int32 unchanged */ | ||
297 | /* |h6| <= 2^25; from now on fits into int32 unchanged */ | ||
298 | /* |h3| <= 1.51*2^58 */ | ||
299 | /* |h7| <= 1.51*2^58 */ | ||
300 | |||
301 | c3 = (h3 + (1 << 24)) >> 25 | ||
302 | h4 += c3 | ||
303 | h3 -= c3 << 25 | ||
304 | c7 = (h7 + (1 << 24)) >> 25 | ||
305 | h8 += c7 | ||
306 | h7 -= c7 << 25 | ||
307 | /* |h3| <= 2^24; from now on fits into int32 unchanged */ | ||
308 | /* |h7| <= 2^24; from now on fits into int32 unchanged */ | ||
309 | /* |h4| <= 1.52*2^33 */ | ||
310 | /* |h8| <= 1.52*2^33 */ | ||
311 | |||
312 | c4 = (h4 + (1 << 25)) >> 26 | ||
313 | h5 += c4 | ||
314 | h4 -= c4 << 26 | ||
315 | c8 = (h8 + (1 << 25)) >> 26 | ||
316 | h9 += c8 | ||
317 | h8 -= c8 << 26 | ||
318 | /* |h4| <= 2^25; from now on fits into int32 unchanged */ | ||
319 | /* |h8| <= 2^25; from now on fits into int32 unchanged */ | ||
320 | /* |h5| <= 1.01*2^24 */ | ||
321 | /* |h9| <= 1.51*2^58 */ | ||
322 | |||
323 | c9 = (h9 + (1 << 24)) >> 25 | ||
324 | h0 += c9 * 19 | ||
325 | h9 -= c9 << 25 | ||
326 | /* |h9| <= 2^24; from now on fits into int32 unchanged */ | ||
327 | /* |h0| <= 1.8*2^37 */ | ||
328 | |||
329 | c0 = (h0 + (1 << 25)) >> 26 | ||
330 | h1 += c0 | ||
331 | h0 -= c0 << 26 | ||
332 | /* |h0| <= 2^25; from now on fits into int32 unchanged */ | ||
333 | /* |h1| <= 1.01*2^24 */ | ||
334 | |||
335 | h[0] = int32(h0) | ||
336 | h[1] = int32(h1) | ||
337 | h[2] = int32(h2) | ||
338 | h[3] = int32(h3) | ||
339 | h[4] = int32(h4) | ||
340 | h[5] = int32(h5) | ||
341 | h[6] = int32(h6) | ||
342 | h[7] = int32(h7) | ||
343 | h[8] = int32(h8) | ||
344 | h[9] = int32(h9) | ||
345 | } | ||
346 | |||
347 | // FeMul calculates h = f * g | ||
348 | // Can overlap h with f or g. | ||
349 | // | ||
350 | // Preconditions: | ||
351 | // |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. | ||
352 | // |g| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. | ||
353 | // | ||
354 | // Postconditions: | ||
355 | // |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | ||
356 | // | ||
357 | // Notes on implementation strategy: | ||
358 | // | ||
359 | // Using schoolbook multiplication. | ||
360 | // Karatsuba would save a little in some cost models. | ||
361 | // | ||
362 | // Most multiplications by 2 and 19 are 32-bit precomputations; | ||
363 | // cheaper than 64-bit postcomputations. | ||
364 | // | ||
365 | // There is one remaining multiplication by 19 in the carry chain; | ||
366 | // one *19 precomputation can be merged into this, | ||
367 | // but the resulting data flow is considerably less clean. | ||
368 | // | ||
369 | // There are 12 carries below. | ||
370 | // 10 of them are 2-way parallelizable and vectorizable. | ||
371 | // Can get away with 11 carries, but then data flow is much deeper. | ||
372 | // | ||
373 | // With tighter constraints on inputs, can squeeze carries into int32. | ||
374 | func FeMul(h, f, g *FieldElement) { | ||
375 | f0 := int64(f[0]) | ||
376 | f1 := int64(f[1]) | ||
377 | f2 := int64(f[2]) | ||
378 | f3 := int64(f[3]) | ||
379 | f4 := int64(f[4]) | ||
380 | f5 := int64(f[5]) | ||
381 | f6 := int64(f[6]) | ||
382 | f7 := int64(f[7]) | ||
383 | f8 := int64(f[8]) | ||
384 | f9 := int64(f[9]) | ||
385 | |||
386 | f1_2 := int64(2 * f[1]) | ||
387 | f3_2 := int64(2 * f[3]) | ||
388 | f5_2 := int64(2 * f[5]) | ||
389 | f7_2 := int64(2 * f[7]) | ||
390 | f9_2 := int64(2 * f[9]) | ||
391 | |||
392 | g0 := int64(g[0]) | ||
393 | g1 := int64(g[1]) | ||
394 | g2 := int64(g[2]) | ||
395 | g3 := int64(g[3]) | ||
396 | g4 := int64(g[4]) | ||
397 | g5 := int64(g[5]) | ||
398 | g6 := int64(g[6]) | ||
399 | g7 := int64(g[7]) | ||
400 | g8 := int64(g[8]) | ||
401 | g9 := int64(g[9]) | ||
402 | |||
403 | g1_19 := int64(19 * g[1]) /* 1.4*2^29 */ | ||
404 | g2_19 := int64(19 * g[2]) /* 1.4*2^30; still ok */ | ||
405 | g3_19 := int64(19 * g[3]) | ||
406 | g4_19 := int64(19 * g[4]) | ||
407 | g5_19 := int64(19 * g[5]) | ||
408 | g6_19 := int64(19 * g[6]) | ||
409 | g7_19 := int64(19 * g[7]) | ||
410 | g8_19 := int64(19 * g[8]) | ||
411 | g9_19 := int64(19 * g[9]) | ||
412 | |||
413 | h0 := f0*g0 + f1_2*g9_19 + f2*g8_19 + f3_2*g7_19 + f4*g6_19 + f5_2*g5_19 + f6*g4_19 + f7_2*g3_19 + f8*g2_19 + f9_2*g1_19 | ||
414 | h1 := f0*g1 + f1*g0 + f2*g9_19 + f3*g8_19 + f4*g7_19 + f5*g6_19 + f6*g5_19 + f7*g4_19 + f8*g3_19 + f9*g2_19 | ||
415 | h2 := f0*g2 + f1_2*g1 + f2*g0 + f3_2*g9_19 + f4*g8_19 + f5_2*g7_19 + f6*g6_19 + f7_2*g5_19 + f8*g4_19 + f9_2*g3_19 | ||
416 | h3 := f0*g3 + f1*g2 + f2*g1 + f3*g0 + f4*g9_19 + f5*g8_19 + f6*g7_19 + f7*g6_19 + f8*g5_19 + f9*g4_19 | ||
417 | h4 := f0*g4 + f1_2*g3 + f2*g2 + f3_2*g1 + f4*g0 + f5_2*g9_19 + f6*g8_19 + f7_2*g7_19 + f8*g6_19 + f9_2*g5_19 | ||
418 | h5 := f0*g5 + f1*g4 + f2*g3 + f3*g2 + f4*g1 + f5*g0 + f6*g9_19 + f7*g8_19 + f8*g7_19 + f9*g6_19 | ||
419 | h6 := f0*g6 + f1_2*g5 + f2*g4 + f3_2*g3 + f4*g2 + f5_2*g1 + f6*g0 + f7_2*g9_19 + f8*g8_19 + f9_2*g7_19 | ||
420 | h7 := f0*g7 + f1*g6 + f2*g5 + f3*g4 + f4*g3 + f5*g2 + f6*g1 + f7*g0 + f8*g9_19 + f9*g8_19 | ||
421 | h8 := f0*g8 + f1_2*g7 + f2*g6 + f3_2*g5 + f4*g4 + f5_2*g3 + f6*g2 + f7_2*g1 + f8*g0 + f9_2*g9_19 | ||
422 | h9 := f0*g9 + f1*g8 + f2*g7 + f3*g6 + f4*g5 + f5*g4 + f6*g3 + f7*g2 + f8*g1 + f9*g0 | ||
423 | |||
424 | FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) | ||
425 | } | ||
426 | |||
427 | func feSquare(f *FieldElement) (h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 int64) { | ||
428 | f0 := int64(f[0]) | ||
429 | f1 := int64(f[1]) | ||
430 | f2 := int64(f[2]) | ||
431 | f3 := int64(f[3]) | ||
432 | f4 := int64(f[4]) | ||
433 | f5 := int64(f[5]) | ||
434 | f6 := int64(f[6]) | ||
435 | f7 := int64(f[7]) | ||
436 | f8 := int64(f[8]) | ||
437 | f9 := int64(f[9]) | ||
438 | f0_2 := int64(2 * f[0]) | ||
439 | f1_2 := int64(2 * f[1]) | ||
440 | f2_2 := int64(2 * f[2]) | ||
441 | f3_2 := int64(2 * f[3]) | ||
442 | f4_2 := int64(2 * f[4]) | ||
443 | f5_2 := int64(2 * f[5]) | ||
444 | f6_2 := int64(2 * f[6]) | ||
445 | f7_2 := int64(2 * f[7]) | ||
446 | f5_38 := 38 * f5 // 1.31*2^30 | ||
447 | f6_19 := 19 * f6 // 1.31*2^30 | ||
448 | f7_38 := 38 * f7 // 1.31*2^30 | ||
449 | f8_19 := 19 * f8 // 1.31*2^30 | ||
450 | f9_38 := 38 * f9 // 1.31*2^30 | ||
451 | |||
452 | h0 = f0*f0 + f1_2*f9_38 + f2_2*f8_19 + f3_2*f7_38 + f4_2*f6_19 + f5*f5_38 | ||
453 | h1 = f0_2*f1 + f2*f9_38 + f3_2*f8_19 + f4*f7_38 + f5_2*f6_19 | ||
454 | h2 = f0_2*f2 + f1_2*f1 + f3_2*f9_38 + f4_2*f8_19 + f5_2*f7_38 + f6*f6_19 | ||
455 | h3 = f0_2*f3 + f1_2*f2 + f4*f9_38 + f5_2*f8_19 + f6*f7_38 | ||
456 | h4 = f0_2*f4 + f1_2*f3_2 + f2*f2 + f5_2*f9_38 + f6_2*f8_19 + f7*f7_38 | ||
457 | h5 = f0_2*f5 + f1_2*f4 + f2_2*f3 + f6*f9_38 + f7_2*f8_19 | ||
458 | h6 = f0_2*f6 + f1_2*f5_2 + f2_2*f4 + f3_2*f3 + f7_2*f9_38 + f8*f8_19 | ||
459 | h7 = f0_2*f7 + f1_2*f6 + f2_2*f5 + f3_2*f4 + f8*f9_38 | ||
460 | h8 = f0_2*f8 + f1_2*f7_2 + f2_2*f6 + f3_2*f5_2 + f4*f4 + f9*f9_38 | ||
461 | h9 = f0_2*f9 + f1_2*f8 + f2_2*f7 + f3_2*f6 + f4_2*f5 | ||
462 | |||
463 | return | ||
464 | } | ||
465 | |||
466 | // FeSquare calculates h = f*f. Can overlap h with f. | ||
467 | // | ||
468 | // Preconditions: | ||
469 | // |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. | ||
470 | // | ||
471 | // Postconditions: | ||
472 | // |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. | ||
473 | func FeSquare(h, f *FieldElement) { | ||
474 | h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f) | ||
475 | FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) | ||
476 | } | ||
477 | |||
478 | // FeSquare2 sets h = 2 * f * f | ||
479 | // | ||
480 | // Can overlap h with f. | ||
481 | // | ||
482 | // Preconditions: | ||
483 | // |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. | ||
484 | // | ||
485 | // Postconditions: | ||
486 | // |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. | ||
487 | // See fe_mul.c for discussion of implementation strategy. | ||
488 | func FeSquare2(h, f *FieldElement) { | ||
489 | h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f) | ||
490 | |||
491 | h0 += h0 | ||
492 | h1 += h1 | ||
493 | h2 += h2 | ||
494 | h3 += h3 | ||
495 | h4 += h4 | ||
496 | h5 += h5 | ||
497 | h6 += h6 | ||
498 | h7 += h7 | ||
499 | h8 += h8 | ||
500 | h9 += h9 | ||
501 | |||
502 | FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) | ||
503 | } | ||
504 | |||
505 | func FeInvert(out, z *FieldElement) { | ||
506 | var t0, t1, t2, t3 FieldElement | ||
507 | var i int | ||
508 | |||
509 | FeSquare(&t0, z) // 2^1 | ||
510 | FeSquare(&t1, &t0) // 2^2 | ||
511 | for i = 1; i < 2; i++ { // 2^3 | ||
512 | FeSquare(&t1, &t1) | ||
513 | } | ||
514 | FeMul(&t1, z, &t1) // 2^3 + 2^0 | ||
515 | FeMul(&t0, &t0, &t1) // 2^3 + 2^1 + 2^0 | ||
516 | FeSquare(&t2, &t0) // 2^4 + 2^2 + 2^1 | ||
517 | FeMul(&t1, &t1, &t2) // 2^4 + 2^3 + 2^2 + 2^1 + 2^0 | ||
518 | FeSquare(&t2, &t1) // 5,4,3,2,1 | ||
519 | for i = 1; i < 5; i++ { // 9,8,7,6,5 | ||
520 | FeSquare(&t2, &t2) | ||
521 | } | ||
522 | FeMul(&t1, &t2, &t1) // 9,8,7,6,5,4,3,2,1,0 | ||
523 | FeSquare(&t2, &t1) // 10..1 | ||
524 | for i = 1; i < 10; i++ { // 19..10 | ||
525 | FeSquare(&t2, &t2) | ||
526 | } | ||
527 | FeMul(&t2, &t2, &t1) // 19..0 | ||
528 | FeSquare(&t3, &t2) // 20..1 | ||
529 | for i = 1; i < 20; i++ { // 39..20 | ||
530 | FeSquare(&t3, &t3) | ||
531 | } | ||
532 | FeMul(&t2, &t3, &t2) // 39..0 | ||
533 | FeSquare(&t2, &t2) // 40..1 | ||
534 | for i = 1; i < 10; i++ { // 49..10 | ||
535 | FeSquare(&t2, &t2) | ||
536 | } | ||
537 | FeMul(&t1, &t2, &t1) // 49..0 | ||
538 | FeSquare(&t2, &t1) // 50..1 | ||
539 | for i = 1; i < 50; i++ { // 99..50 | ||
540 | FeSquare(&t2, &t2) | ||
541 | } | ||
542 | FeMul(&t2, &t2, &t1) // 99..0 | ||
543 | FeSquare(&t3, &t2) // 100..1 | ||
544 | for i = 1; i < 100; i++ { // 199..100 | ||
545 | FeSquare(&t3, &t3) | ||
546 | } | ||
547 | FeMul(&t2, &t3, &t2) // 199..0 | ||
548 | FeSquare(&t2, &t2) // 200..1 | ||
549 | for i = 1; i < 50; i++ { // 249..50 | ||
550 | FeSquare(&t2, &t2) | ||
551 | } | ||
552 | FeMul(&t1, &t2, &t1) // 249..0 | ||
553 | FeSquare(&t1, &t1) // 250..1 | ||
554 | for i = 1; i < 5; i++ { // 254..5 | ||
555 | FeSquare(&t1, &t1) | ||
556 | } | ||
557 | FeMul(out, &t1, &t0) // 254..5,3,1,0 | ||
558 | } | ||
559 | |||
560 | func fePow22523(out, z *FieldElement) { | ||
561 | var t0, t1, t2 FieldElement | ||
562 | var i int | ||
563 | |||
564 | FeSquare(&t0, z) | ||
565 | for i = 1; i < 1; i++ { | ||
566 | FeSquare(&t0, &t0) | ||
567 | } | ||
568 | FeSquare(&t1, &t0) | ||
569 | for i = 1; i < 2; i++ { | ||
570 | FeSquare(&t1, &t1) | ||
571 | } | ||
572 | FeMul(&t1, z, &t1) | ||
573 | FeMul(&t0, &t0, &t1) | ||
574 | FeSquare(&t0, &t0) | ||
575 | for i = 1; i < 1; i++ { | ||
576 | FeSquare(&t0, &t0) | ||
577 | } | ||
578 | FeMul(&t0, &t1, &t0) | ||
579 | FeSquare(&t1, &t0) | ||
580 | for i = 1; i < 5; i++ { | ||
581 | FeSquare(&t1, &t1) | ||
582 | } | ||
583 | FeMul(&t0, &t1, &t0) | ||
584 | FeSquare(&t1, &t0) | ||
585 | for i = 1; i < 10; i++ { | ||
586 | FeSquare(&t1, &t1) | ||
587 | } | ||
588 | FeMul(&t1, &t1, &t0) | ||
589 | FeSquare(&t2, &t1) | ||
590 | for i = 1; i < 20; i++ { | ||
591 | FeSquare(&t2, &t2) | ||
592 | } | ||
593 | FeMul(&t1, &t2, &t1) | ||
594 | FeSquare(&t1, &t1) | ||
595 | for i = 1; i < 10; i++ { | ||
596 | FeSquare(&t1, &t1) | ||
597 | } | ||
598 | FeMul(&t0, &t1, &t0) | ||
599 | FeSquare(&t1, &t0) | ||
600 | for i = 1; i < 50; i++ { | ||
601 | FeSquare(&t1, &t1) | ||
602 | } | ||
603 | FeMul(&t1, &t1, &t0) | ||
604 | FeSquare(&t2, &t1) | ||
605 | for i = 1; i < 100; i++ { | ||
606 | FeSquare(&t2, &t2) | ||
607 | } | ||
608 | FeMul(&t1, &t2, &t1) | ||
609 | FeSquare(&t1, &t1) | ||
610 | for i = 1; i < 50; i++ { | ||
611 | FeSquare(&t1, &t1) | ||
612 | } | ||
613 | FeMul(&t0, &t1, &t0) | ||
614 | FeSquare(&t0, &t0) | ||
615 | for i = 1; i < 2; i++ { | ||
616 | FeSquare(&t0, &t0) | ||
617 | } | ||
618 | FeMul(out, &t0, z) | ||
619 | } | ||
620 | |||
621 | // Group elements are members of the elliptic curve -x^2 + y^2 = 1 + d * x^2 * | ||
622 | // y^2 where d = -121665/121666. | ||
623 | // | ||
624 | // Several representations are used: | ||
625 | // ProjectiveGroupElement: (X:Y:Z) satisfying x=X/Z, y=Y/Z | ||
626 | // ExtendedGroupElement: (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT | ||
627 | // CompletedGroupElement: ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T | ||
628 | // PreComputedGroupElement: (y+x,y-x,2dxy) | ||
629 | |||
630 | type ProjectiveGroupElement struct { | ||
631 | X, Y, Z FieldElement | ||
632 | } | ||
633 | |||
634 | type ExtendedGroupElement struct { | ||
635 | X, Y, Z, T FieldElement | ||
636 | } | ||
637 | |||
638 | type CompletedGroupElement struct { | ||
639 | X, Y, Z, T FieldElement | ||
640 | } | ||
641 | |||
642 | type PreComputedGroupElement struct { | ||
643 | yPlusX, yMinusX, xy2d FieldElement | ||
644 | } | ||
645 | |||
646 | type CachedGroupElement struct { | ||
647 | yPlusX, yMinusX, Z, T2d FieldElement | ||
648 | } | ||
649 | |||
650 | func (p *ProjectiveGroupElement) Zero() { | ||
651 | FeZero(&p.X) | ||
652 | FeOne(&p.Y) | ||
653 | FeOne(&p.Z) | ||
654 | } | ||
655 | |||
656 | func (p *ProjectiveGroupElement) Double(r *CompletedGroupElement) { | ||
657 | var t0 FieldElement | ||
658 | |||
659 | FeSquare(&r.X, &p.X) | ||
660 | FeSquare(&r.Z, &p.Y) | ||
661 | FeSquare2(&r.T, &p.Z) | ||
662 | FeAdd(&r.Y, &p.X, &p.Y) | ||
663 | FeSquare(&t0, &r.Y) | ||
664 | FeAdd(&r.Y, &r.Z, &r.X) | ||
665 | FeSub(&r.Z, &r.Z, &r.X) | ||
666 | FeSub(&r.X, &t0, &r.Y) | ||
667 | FeSub(&r.T, &r.T, &r.Z) | ||
668 | } | ||
669 | |||
670 | func (p *ProjectiveGroupElement) ToBytes(s *[32]byte) { | ||
671 | var recip, x, y FieldElement | ||
672 | |||
673 | FeInvert(&recip, &p.Z) | ||
674 | FeMul(&x, &p.X, &recip) | ||
675 | FeMul(&y, &p.Y, &recip) | ||
676 | FeToBytes(s, &y) | ||
677 | s[31] ^= FeIsNegative(&x) << 7 | ||
678 | } | ||
679 | |||
680 | func (p *ExtendedGroupElement) Zero() { | ||
681 | FeZero(&p.X) | ||
682 | FeOne(&p.Y) | ||
683 | FeOne(&p.Z) | ||
684 | FeZero(&p.T) | ||
685 | } | ||
686 | |||
687 | func (p *ExtendedGroupElement) Double(r *CompletedGroupElement) { | ||
688 | var q ProjectiveGroupElement | ||
689 | p.ToProjective(&q) | ||
690 | q.Double(r) | ||
691 | } | ||
692 | |||
693 | func (p *ExtendedGroupElement) ToCached(r *CachedGroupElement) { | ||
694 | FeAdd(&r.yPlusX, &p.Y, &p.X) | ||
695 | FeSub(&r.yMinusX, &p.Y, &p.X) | ||
696 | FeCopy(&r.Z, &p.Z) | ||
697 | FeMul(&r.T2d, &p.T, &d2) | ||
698 | } | ||
699 | |||
700 | func (p *ExtendedGroupElement) ToProjective(r *ProjectiveGroupElement) { | ||
701 | FeCopy(&r.X, &p.X) | ||
702 | FeCopy(&r.Y, &p.Y) | ||
703 | FeCopy(&r.Z, &p.Z) | ||
704 | } | ||
705 | |||
706 | func (p *ExtendedGroupElement) ToBytes(s *[32]byte) { | ||
707 | var recip, x, y FieldElement | ||
708 | |||
709 | FeInvert(&recip, &p.Z) | ||
710 | FeMul(&x, &p.X, &recip) | ||
711 | FeMul(&y, &p.Y, &recip) | ||
712 | FeToBytes(s, &y) | ||
713 | s[31] ^= FeIsNegative(&x) << 7 | ||
714 | } | ||
715 | |||
716 | func (p *ExtendedGroupElement) FromBytes(s *[32]byte) bool { | ||
717 | var u, v, v3, vxx, check FieldElement | ||
718 | |||
719 | FeFromBytes(&p.Y, s) | ||
720 | FeOne(&p.Z) | ||
721 | FeSquare(&u, &p.Y) | ||
722 | FeMul(&v, &u, &d) | ||
723 | FeSub(&u, &u, &p.Z) // y = y^2-1 | ||
724 | FeAdd(&v, &v, &p.Z) // v = dy^2+1 | ||
725 | |||
726 | FeSquare(&v3, &v) | ||
727 | FeMul(&v3, &v3, &v) // v3 = v^3 | ||
728 | FeSquare(&p.X, &v3) | ||
729 | FeMul(&p.X, &p.X, &v) | ||
730 | FeMul(&p.X, &p.X, &u) // x = uv^7 | ||
731 | |||
732 | fePow22523(&p.X, &p.X) // x = (uv^7)^((q-5)/8) | ||
733 | FeMul(&p.X, &p.X, &v3) | ||
734 | FeMul(&p.X, &p.X, &u) // x = uv^3(uv^7)^((q-5)/8) | ||
735 | |||
736 | var tmpX, tmp2 [32]byte | ||
737 | |||
738 | FeSquare(&vxx, &p.X) | ||
739 | FeMul(&vxx, &vxx, &v) | ||
740 | FeSub(&check, &vxx, &u) // vx^2-u | ||
741 | if FeIsNonZero(&check) == 1 { | ||
742 | FeAdd(&check, &vxx, &u) // vx^2+u | ||
743 | if FeIsNonZero(&check) == 1 { | ||
744 | return false | ||
745 | } | ||
746 | FeMul(&p.X, &p.X, &SqrtM1) | ||
747 | |||
748 | FeToBytes(&tmpX, &p.X) | ||
749 | for i, v := range tmpX { | ||
750 | tmp2[31-i] = v | ||
751 | } | ||
752 | } | ||
753 | |||
754 | if FeIsNegative(&p.X) != (s[31] >> 7) { | ||
755 | FeNeg(&p.X, &p.X) | ||
756 | } | ||
757 | |||
758 | FeMul(&p.T, &p.X, &p.Y) | ||
759 | return true | ||
760 | } | ||
761 | |||
762 | func (p *CompletedGroupElement) ToProjective(r *ProjectiveGroupElement) { | ||
763 | FeMul(&r.X, &p.X, &p.T) | ||
764 | FeMul(&r.Y, &p.Y, &p.Z) | ||
765 | FeMul(&r.Z, &p.Z, &p.T) | ||
766 | } | ||
767 | |||
768 | func (p *CompletedGroupElement) ToExtended(r *ExtendedGroupElement) { | ||
769 | FeMul(&r.X, &p.X, &p.T) | ||
770 | FeMul(&r.Y, &p.Y, &p.Z) | ||
771 | FeMul(&r.Z, &p.Z, &p.T) | ||
772 | FeMul(&r.T, &p.X, &p.Y) | ||
773 | } | ||
774 | |||
775 | func (p *PreComputedGroupElement) Zero() { | ||
776 | FeOne(&p.yPlusX) | ||
777 | FeOne(&p.yMinusX) | ||
778 | FeZero(&p.xy2d) | ||
779 | } | ||
780 | |||
781 | func geAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) { | ||
782 | var t0 FieldElement | ||
783 | |||
784 | FeAdd(&r.X, &p.Y, &p.X) | ||
785 | FeSub(&r.Y, &p.Y, &p.X) | ||
786 | FeMul(&r.Z, &r.X, &q.yPlusX) | ||
787 | FeMul(&r.Y, &r.Y, &q.yMinusX) | ||
788 | FeMul(&r.T, &q.T2d, &p.T) | ||
789 | FeMul(&r.X, &p.Z, &q.Z) | ||
790 | FeAdd(&t0, &r.X, &r.X) | ||
791 | FeSub(&r.X, &r.Z, &r.Y) | ||
792 | FeAdd(&r.Y, &r.Z, &r.Y) | ||
793 | FeAdd(&r.Z, &t0, &r.T) | ||
794 | FeSub(&r.T, &t0, &r.T) | ||
795 | } | ||
796 | |||
797 | func geSub(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) { | ||
798 | var t0 FieldElement | ||
799 | |||
800 | FeAdd(&r.X, &p.Y, &p.X) | ||
801 | FeSub(&r.Y, &p.Y, &p.X) | ||
802 | FeMul(&r.Z, &r.X, &q.yMinusX) | ||
803 | FeMul(&r.Y, &r.Y, &q.yPlusX) | ||
804 | FeMul(&r.T, &q.T2d, &p.T) | ||
805 | FeMul(&r.X, &p.Z, &q.Z) | ||
806 | FeAdd(&t0, &r.X, &r.X) | ||
807 | FeSub(&r.X, &r.Z, &r.Y) | ||
808 | FeAdd(&r.Y, &r.Z, &r.Y) | ||
809 | FeSub(&r.Z, &t0, &r.T) | ||
810 | FeAdd(&r.T, &t0, &r.T) | ||
811 | } | ||
812 | |||
813 | func geMixedAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *PreComputedGroupElement) { | ||
814 | var t0 FieldElement | ||
815 | |||
816 | FeAdd(&r.X, &p.Y, &p.X) | ||
817 | FeSub(&r.Y, &p.Y, &p.X) | ||
818 | FeMul(&r.Z, &r.X, &q.yPlusX) | ||
819 | FeMul(&r.Y, &r.Y, &q.yMinusX) | ||
820 | FeMul(&r.T, &q.xy2d, &p.T) | ||
821 | FeAdd(&t0, &p.Z, &p.Z) | ||
822 | FeSub(&r.X, &r.Z, &r.Y) | ||
823 | FeAdd(&r.Y, &r.Z, &r.Y) | ||
824 | FeAdd(&r.Z, &t0, &r.T) | ||
825 | FeSub(&r.T, &t0, &r.T) | ||
826 | } | ||
827 | |||
828 | func geMixedSub(r *CompletedGroupElement, p *ExtendedGroupElement, q *PreComputedGroupElement) { | ||
829 | var t0 FieldElement | ||
830 | |||
831 | FeAdd(&r.X, &p.Y, &p.X) | ||
832 | FeSub(&r.Y, &p.Y, &p.X) | ||
833 | FeMul(&r.Z, &r.X, &q.yMinusX) | ||
834 | FeMul(&r.Y, &r.Y, &q.yPlusX) | ||
835 | FeMul(&r.T, &q.xy2d, &p.T) | ||
836 | FeAdd(&t0, &p.Z, &p.Z) | ||
837 | FeSub(&r.X, &r.Z, &r.Y) | ||
838 | FeAdd(&r.Y, &r.Z, &r.Y) | ||
839 | FeSub(&r.Z, &t0, &r.T) | ||
840 | FeAdd(&r.T, &t0, &r.T) | ||
841 | } | ||
842 | |||
843 | func slide(r *[256]int8, a *[32]byte) { | ||
844 | for i := range r { | ||
845 | r[i] = int8(1 & (a[i>>3] >> uint(i&7))) | ||
846 | } | ||
847 | |||
848 | for i := range r { | ||
849 | if r[i] != 0 { | ||
850 | for b := 1; b <= 6 && i+b < 256; b++ { | ||
851 | if r[i+b] != 0 { | ||
852 | if r[i]+(r[i+b]<<uint(b)) <= 15 { | ||
853 | r[i] += r[i+b] << uint(b) | ||
854 | r[i+b] = 0 | ||
855 | } else if r[i]-(r[i+b]<<uint(b)) >= -15 { | ||
856 | r[i] -= r[i+b] << uint(b) | ||
857 | for k := i + b; k < 256; k++ { | ||
858 | if r[k] == 0 { | ||
859 | r[k] = 1 | ||
860 | break | ||
861 | } | ||
862 | r[k] = 0 | ||
863 | } | ||
864 | } else { | ||
865 | break | ||
866 | } | ||
867 | } | ||
868 | } | ||
869 | } | ||
870 | } | ||
871 | } | ||
872 | |||
873 | // GeDoubleScalarMultVartime sets r = a*A + b*B | ||
874 | // where a = a[0]+256*a[1]+...+256^31 a[31]. | ||
875 | // and b = b[0]+256*b[1]+...+256^31 b[31]. | ||
876 | // B is the Ed25519 base point (x,4/5) with x positive. | ||
877 | func GeDoubleScalarMultVartime(r *ProjectiveGroupElement, a *[32]byte, A *ExtendedGroupElement, b *[32]byte) { | ||
878 | var aSlide, bSlide [256]int8 | ||
879 | var Ai [8]CachedGroupElement // A,3A,5A,7A,9A,11A,13A,15A | ||
880 | var t CompletedGroupElement | ||
881 | var u, A2 ExtendedGroupElement | ||
882 | var i int | ||
883 | |||
884 | slide(&aSlide, a) | ||
885 | slide(&bSlide, b) | ||
886 | |||
887 | A.ToCached(&Ai[0]) | ||
888 | A.Double(&t) | ||
889 | t.ToExtended(&A2) | ||
890 | |||
891 | for i := 0; i < 7; i++ { | ||
892 | geAdd(&t, &A2, &Ai[i]) | ||
893 | t.ToExtended(&u) | ||
894 | u.ToCached(&Ai[i+1]) | ||
895 | } | ||
896 | |||
897 | r.Zero() | ||
898 | |||
899 | for i = 255; i >= 0; i-- { | ||
900 | if aSlide[i] != 0 || bSlide[i] != 0 { | ||
901 | break | ||
902 | } | ||
903 | } | ||
904 | |||
905 | for ; i >= 0; i-- { | ||
906 | r.Double(&t) | ||
907 | |||
908 | if aSlide[i] > 0 { | ||
909 | t.ToExtended(&u) | ||
910 | geAdd(&t, &u, &Ai[aSlide[i]/2]) | ||
911 | } else if aSlide[i] < 0 { | ||
912 | t.ToExtended(&u) | ||
913 | geSub(&t, &u, &Ai[(-aSlide[i])/2]) | ||
914 | } | ||
915 | |||
916 | if bSlide[i] > 0 { | ||
917 | t.ToExtended(&u) | ||
918 | geMixedAdd(&t, &u, &bi[bSlide[i]/2]) | ||
919 | } else if bSlide[i] < 0 { | ||
920 | t.ToExtended(&u) | ||
921 | geMixedSub(&t, &u, &bi[(-bSlide[i])/2]) | ||
922 | } | ||
923 | |||
924 | t.ToProjective(r) | ||
925 | } | ||
926 | } | ||
927 | |||
928 | // equal returns 1 if b == c and 0 otherwise, assuming that b and c are | ||
929 | // non-negative. | ||
930 | func equal(b, c int32) int32 { | ||
931 | x := uint32(b ^ c) | ||
932 | x-- | ||
933 | return int32(x >> 31) | ||
934 | } | ||
935 | |||
936 | // negative returns 1 if b < 0 and 0 otherwise. | ||
937 | func negative(b int32) int32 { | ||
938 | return (b >> 31) & 1 | ||
939 | } | ||
940 | |||
941 | func PreComputedGroupElementCMove(t, u *PreComputedGroupElement, b int32) { | ||
942 | FeCMove(&t.yPlusX, &u.yPlusX, b) | ||
943 | FeCMove(&t.yMinusX, &u.yMinusX, b) | ||
944 | FeCMove(&t.xy2d, &u.xy2d, b) | ||
945 | } | ||
946 | |||
947 | func selectPoint(t *PreComputedGroupElement, pos int32, b int32) { | ||
948 | var minusT PreComputedGroupElement | ||
949 | bNegative := negative(b) | ||
950 | bAbs := b - (((-bNegative) & b) << 1) | ||
951 | |||
952 | t.Zero() | ||
953 | for i := int32(0); i < 8; i++ { | ||
954 | PreComputedGroupElementCMove(t, &base[pos][i], equal(bAbs, i+1)) | ||
955 | } | ||
956 | FeCopy(&minusT.yPlusX, &t.yMinusX) | ||
957 | FeCopy(&minusT.yMinusX, &t.yPlusX) | ||
958 | FeNeg(&minusT.xy2d, &t.xy2d) | ||
959 | PreComputedGroupElementCMove(t, &minusT, bNegative) | ||
960 | } | ||
961 | |||
962 | // GeScalarMultBase computes h = a*B, where | ||
963 | // a = a[0]+256*a[1]+...+256^31 a[31] | ||
964 | // B is the Ed25519 base point (x,4/5) with x positive. | ||
965 | // | ||
966 | // Preconditions: | ||
967 | // a[31] <= 127 | ||
968 | func GeScalarMultBase(h *ExtendedGroupElement, a *[32]byte) { | ||
969 | var e [64]int8 | ||
970 | |||
971 | for i, v := range a { | ||
972 | e[2*i] = int8(v & 15) | ||
973 | e[2*i+1] = int8((v >> 4) & 15) | ||
974 | } | ||
975 | |||
976 | // each e[i] is between 0 and 15 and e[63] is between 0 and 7. | ||
977 | |||
978 | carry := int8(0) | ||
979 | for i := 0; i < 63; i++ { | ||
980 | e[i] += carry | ||
981 | carry = (e[i] + 8) >> 4 | ||
982 | e[i] -= carry << 4 | ||
983 | } | ||
984 | e[63] += carry | ||
985 | // each e[i] is between -8 and 8. | ||
986 | |||
987 | h.Zero() | ||
988 | var t PreComputedGroupElement | ||
989 | var r CompletedGroupElement | ||
990 | for i := int32(1); i < 64; i += 2 { | ||
991 | selectPoint(&t, i/2, int32(e[i])) | ||
992 | geMixedAdd(&r, h, &t) | ||
993 | r.ToExtended(h) | ||
994 | } | ||
995 | |||
996 | var s ProjectiveGroupElement | ||
997 | |||
998 | h.Double(&r) | ||
999 | r.ToProjective(&s) | ||
1000 | s.Double(&r) | ||
1001 | r.ToProjective(&s) | ||
1002 | s.Double(&r) | ||
1003 | r.ToProjective(&s) | ||
1004 | s.Double(&r) | ||
1005 | r.ToExtended(h) | ||
1006 | |||
1007 | for i := int32(0); i < 64; i += 2 { | ||
1008 | selectPoint(&t, i/2, int32(e[i])) | ||
1009 | geMixedAdd(&r, h, &t) | ||
1010 | r.ToExtended(h) | ||
1011 | } | ||
1012 | } | ||
1013 | |||
1014 | // The scalars are GF(2^252 + 27742317777372353535851937790883648493). | ||
1015 | |||
1016 | // Input: | ||
1017 | // a[0]+256*a[1]+...+256^31*a[31] = a | ||
1018 | // b[0]+256*b[1]+...+256^31*b[31] = b | ||
1019 | // c[0]+256*c[1]+...+256^31*c[31] = c | ||
1020 | // | ||
1021 | // Output: | ||
1022 | // s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l | ||
1023 | // where l = 2^252 + 27742317777372353535851937790883648493. | ||
1024 | func ScMulAdd(s, a, b, c *[32]byte) { | ||
1025 | a0 := 2097151 & load3(a[:]) | ||
1026 | a1 := 2097151 & (load4(a[2:]) >> 5) | ||
1027 | a2 := 2097151 & (load3(a[5:]) >> 2) | ||
1028 | a3 := 2097151 & (load4(a[7:]) >> 7) | ||
1029 | a4 := 2097151 & (load4(a[10:]) >> 4) | ||
1030 | a5 := 2097151 & (load3(a[13:]) >> 1) | ||
1031 | a6 := 2097151 & (load4(a[15:]) >> 6) | ||
1032 | a7 := 2097151 & (load3(a[18:]) >> 3) | ||
1033 | a8 := 2097151 & load3(a[21:]) | ||
1034 | a9 := 2097151 & (load4(a[23:]) >> 5) | ||
1035 | a10 := 2097151 & (load3(a[26:]) >> 2) | ||
1036 | a11 := (load4(a[28:]) >> 7) | ||
1037 | b0 := 2097151 & load3(b[:]) | ||
1038 | b1 := 2097151 & (load4(b[2:]) >> 5) | ||
1039 | b2 := 2097151 & (load3(b[5:]) >> 2) | ||
1040 | b3 := 2097151 & (load4(b[7:]) >> 7) | ||
1041 | b4 := 2097151 & (load4(b[10:]) >> 4) | ||
1042 | b5 := 2097151 & (load3(b[13:]) >> 1) | ||
1043 | b6 := 2097151 & (load4(b[15:]) >> 6) | ||
1044 | b7 := 2097151 & (load3(b[18:]) >> 3) | ||
1045 | b8 := 2097151 & load3(b[21:]) | ||
1046 | b9 := 2097151 & (load4(b[23:]) >> 5) | ||
1047 | b10 := 2097151 & (load3(b[26:]) >> 2) | ||
1048 | b11 := (load4(b[28:]) >> 7) | ||
1049 | c0 := 2097151 & load3(c[:]) | ||
1050 | c1 := 2097151 & (load4(c[2:]) >> 5) | ||
1051 | c2 := 2097151 & (load3(c[5:]) >> 2) | ||
1052 | c3 := 2097151 & (load4(c[7:]) >> 7) | ||
1053 | c4 := 2097151 & (load4(c[10:]) >> 4) | ||
1054 | c5 := 2097151 & (load3(c[13:]) >> 1) | ||
1055 | c6 := 2097151 & (load4(c[15:]) >> 6) | ||
1056 | c7 := 2097151 & (load3(c[18:]) >> 3) | ||
1057 | c8 := 2097151 & load3(c[21:]) | ||
1058 | c9 := 2097151 & (load4(c[23:]) >> 5) | ||
1059 | c10 := 2097151 & (load3(c[26:]) >> 2) | ||
1060 | c11 := (load4(c[28:]) >> 7) | ||
1061 | var carry [23]int64 | ||
1062 | |||
1063 | s0 := c0 + a0*b0 | ||
1064 | s1 := c1 + a0*b1 + a1*b0 | ||
1065 | s2 := c2 + a0*b2 + a1*b1 + a2*b0 | ||
1066 | s3 := c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0 | ||
1067 | s4 := c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0 | ||
1068 | s5 := c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0 | ||
1069 | s6 := c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0 | ||
1070 | s7 := c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0 | ||
1071 | s8 := c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0 | ||
1072 | s9 := c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0 | ||
1073 | s10 := c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0 | ||
1074 | s11 := c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0 | ||
1075 | s12 := a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1 | ||
1076 | s13 := a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2 | ||
1077 | s14 := a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3 | ||
1078 | s15 := a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4 | ||
1079 | s16 := a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5 | ||
1080 | s17 := a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6 | ||
1081 | s18 := a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7 | ||
1082 | s19 := a8*b11 + a9*b10 + a10*b9 + a11*b8 | ||
1083 | s20 := a9*b11 + a10*b10 + a11*b9 | ||
1084 | s21 := a10*b11 + a11*b10 | ||
1085 | s22 := a11 * b11 | ||
1086 | s23 := int64(0) | ||
1087 | |||
1088 | carry[0] = (s0 + (1 << 20)) >> 21 | ||
1089 | s1 += carry[0] | ||
1090 | s0 -= carry[0] << 21 | ||
1091 | carry[2] = (s2 + (1 << 20)) >> 21 | ||
1092 | s3 += carry[2] | ||
1093 | s2 -= carry[2] << 21 | ||
1094 | carry[4] = (s4 + (1 << 20)) >> 21 | ||
1095 | s5 += carry[4] | ||
1096 | s4 -= carry[4] << 21 | ||
1097 | carry[6] = (s6 + (1 << 20)) >> 21 | ||
1098 | s7 += carry[6] | ||
1099 | s6 -= carry[6] << 21 | ||
1100 | carry[8] = (s8 + (1 << 20)) >> 21 | ||
1101 | s9 += carry[8] | ||
1102 | s8 -= carry[8] << 21 | ||
1103 | carry[10] = (s10 + (1 << 20)) >> 21 | ||
1104 | s11 += carry[10] | ||
1105 | s10 -= carry[10] << 21 | ||
1106 | carry[12] = (s12 + (1 << 20)) >> 21 | ||
1107 | s13 += carry[12] | ||
1108 | s12 -= carry[12] << 21 | ||
1109 | carry[14] = (s14 + (1 << 20)) >> 21 | ||
1110 | s15 += carry[14] | ||
1111 | s14 -= carry[14] << 21 | ||
1112 | carry[16] = (s16 + (1 << 20)) >> 21 | ||
1113 | s17 += carry[16] | ||
1114 | s16 -= carry[16] << 21 | ||
1115 | carry[18] = (s18 + (1 << 20)) >> 21 | ||
1116 | s19 += carry[18] | ||
1117 | s18 -= carry[18] << 21 | ||
1118 | carry[20] = (s20 + (1 << 20)) >> 21 | ||
1119 | s21 += carry[20] | ||
1120 | s20 -= carry[20] << 21 | ||
1121 | carry[22] = (s22 + (1 << 20)) >> 21 | ||
1122 | s23 += carry[22] | ||
1123 | s22 -= carry[22] << 21 | ||
1124 | |||
1125 | carry[1] = (s1 + (1 << 20)) >> 21 | ||
1126 | s2 += carry[1] | ||
1127 | s1 -= carry[1] << 21 | ||
1128 | carry[3] = (s3 + (1 << 20)) >> 21 | ||
1129 | s4 += carry[3] | ||
1130 | s3 -= carry[3] << 21 | ||
1131 | carry[5] = (s5 + (1 << 20)) >> 21 | ||
1132 | s6 += carry[5] | ||
1133 | s5 -= carry[5] << 21 | ||
1134 | carry[7] = (s7 + (1 << 20)) >> 21 | ||
1135 | s8 += carry[7] | ||
1136 | s7 -= carry[7] << 21 | ||
1137 | carry[9] = (s9 + (1 << 20)) >> 21 | ||
1138 | s10 += carry[9] | ||
1139 | s9 -= carry[9] << 21 | ||
1140 | carry[11] = (s11 + (1 << 20)) >> 21 | ||
1141 | s12 += carry[11] | ||
1142 | s11 -= carry[11] << 21 | ||
1143 | carry[13] = (s13 + (1 << 20)) >> 21 | ||
1144 | s14 += carry[13] | ||
1145 | s13 -= carry[13] << 21 | ||
1146 | carry[15] = (s15 + (1 << 20)) >> 21 | ||
1147 | s16 += carry[15] | ||
1148 | s15 -= carry[15] << 21 | ||
1149 | carry[17] = (s17 + (1 << 20)) >> 21 | ||
1150 | s18 += carry[17] | ||
1151 | s17 -= carry[17] << 21 | ||
1152 | carry[19] = (s19 + (1 << 20)) >> 21 | ||
1153 | s20 += carry[19] | ||
1154 | s19 -= carry[19] << 21 | ||
1155 | carry[21] = (s21 + (1 << 20)) >> 21 | ||
1156 | s22 += carry[21] | ||
1157 | s21 -= carry[21] << 21 | ||
1158 | |||
1159 | s11 += s23 * 666643 | ||
1160 | s12 += s23 * 470296 | ||
1161 | s13 += s23 * 654183 | ||
1162 | s14 -= s23 * 997805 | ||
1163 | s15 += s23 * 136657 | ||
1164 | s16 -= s23 * 683901 | ||
1165 | s23 = 0 | ||
1166 | |||
1167 | s10 += s22 * 666643 | ||
1168 | s11 += s22 * 470296 | ||
1169 | s12 += s22 * 654183 | ||
1170 | s13 -= s22 * 997805 | ||
1171 | s14 += s22 * 136657 | ||
1172 | s15 -= s22 * 683901 | ||
1173 | s22 = 0 | ||
1174 | |||
1175 | s9 += s21 * 666643 | ||
1176 | s10 += s21 * 470296 | ||
1177 | s11 += s21 * 654183 | ||
1178 | s12 -= s21 * 997805 | ||
1179 | s13 += s21 * 136657 | ||
1180 | s14 -= s21 * 683901 | ||
1181 | s21 = 0 | ||
1182 | |||
1183 | s8 += s20 * 666643 | ||
1184 | s9 += s20 * 470296 | ||
1185 | s10 += s20 * 654183 | ||
1186 | s11 -= s20 * 997805 | ||
1187 | s12 += s20 * 136657 | ||
1188 | s13 -= s20 * 683901 | ||
1189 | s20 = 0 | ||
1190 | |||
1191 | s7 += s19 * 666643 | ||
1192 | s8 += s19 * 470296 | ||
1193 | s9 += s19 * 654183 | ||
1194 | s10 -= s19 * 997805 | ||
1195 | s11 += s19 * 136657 | ||
1196 | s12 -= s19 * 683901 | ||
1197 | s19 = 0 | ||
1198 | |||
1199 | s6 += s18 * 666643 | ||
1200 | s7 += s18 * 470296 | ||
1201 | s8 += s18 * 654183 | ||
1202 | s9 -= s18 * 997805 | ||
1203 | s10 += s18 * 136657 | ||
1204 | s11 -= s18 * 683901 | ||
1205 | s18 = 0 | ||
1206 | |||
1207 | carry[6] = (s6 + (1 << 20)) >> 21 | ||
1208 | s7 += carry[6] | ||
1209 | s6 -= carry[6] << 21 | ||
1210 | carry[8] = (s8 + (1 << 20)) >> 21 | ||
1211 | s9 += carry[8] | ||
1212 | s8 -= carry[8] << 21 | ||
1213 | carry[10] = (s10 + (1 << 20)) >> 21 | ||
1214 | s11 += carry[10] | ||
1215 | s10 -= carry[10] << 21 | ||
1216 | carry[12] = (s12 + (1 << 20)) >> 21 | ||
1217 | s13 += carry[12] | ||
1218 | s12 -= carry[12] << 21 | ||
1219 | carry[14] = (s14 + (1 << 20)) >> 21 | ||
1220 | s15 += carry[14] | ||
1221 | s14 -= carry[14] << 21 | ||
1222 | carry[16] = (s16 + (1 << 20)) >> 21 | ||
1223 | s17 += carry[16] | ||
1224 | s16 -= carry[16] << 21 | ||
1225 | |||
1226 | carry[7] = (s7 + (1 << 20)) >> 21 | ||
1227 | s8 += carry[7] | ||
1228 | s7 -= carry[7] << 21 | ||
1229 | carry[9] = (s9 + (1 << 20)) >> 21 | ||
1230 | s10 += carry[9] | ||
1231 | s9 -= carry[9] << 21 | ||
1232 | carry[11] = (s11 + (1 << 20)) >> 21 | ||
1233 | s12 += carry[11] | ||
1234 | s11 -= carry[11] << 21 | ||
1235 | carry[13] = (s13 + (1 << 20)) >> 21 | ||
1236 | s14 += carry[13] | ||
1237 | s13 -= carry[13] << 21 | ||
1238 | carry[15] = (s15 + (1 << 20)) >> 21 | ||
1239 | s16 += carry[15] | ||
1240 | s15 -= carry[15] << 21 | ||
1241 | |||
1242 | s5 += s17 * 666643 | ||
1243 | s6 += s17 * 470296 | ||
1244 | s7 += s17 * 654183 | ||
1245 | s8 -= s17 * 997805 | ||
1246 | s9 += s17 * 136657 | ||
1247 | s10 -= s17 * 683901 | ||
1248 | s17 = 0 | ||
1249 | |||
1250 | s4 += s16 * 666643 | ||
1251 | s5 += s16 * 470296 | ||
1252 | s6 += s16 * 654183 | ||
1253 | s7 -= s16 * 997805 | ||
1254 | s8 += s16 * 136657 | ||
1255 | s9 -= s16 * 683901 | ||
1256 | s16 = 0 | ||
1257 | |||
1258 | s3 += s15 * 666643 | ||
1259 | s4 += s15 * 470296 | ||
1260 | s5 += s15 * 654183 | ||
1261 | s6 -= s15 * 997805 | ||
1262 | s7 += s15 * 136657 | ||
1263 | s8 -= s15 * 683901 | ||
1264 | s15 = 0 | ||
1265 | |||
1266 | s2 += s14 * 666643 | ||
1267 | s3 += s14 * 470296 | ||
1268 | s4 += s14 * 654183 | ||
1269 | s5 -= s14 * 997805 | ||
1270 | s6 += s14 * 136657 | ||
1271 | s7 -= s14 * 683901 | ||
1272 | s14 = 0 | ||
1273 | |||
1274 | s1 += s13 * 666643 | ||
1275 | s2 += s13 * 470296 | ||
1276 | s3 += s13 * 654183 | ||
1277 | s4 -= s13 * 997805 | ||
1278 | s5 += s13 * 136657 | ||
1279 | s6 -= s13 * 683901 | ||
1280 | s13 = 0 | ||
1281 | |||
1282 | s0 += s12 * 666643 | ||
1283 | s1 += s12 * 470296 | ||
1284 | s2 += s12 * 654183 | ||
1285 | s3 -= s12 * 997805 | ||
1286 | s4 += s12 * 136657 | ||
1287 | s5 -= s12 * 683901 | ||
1288 | s12 = 0 | ||
1289 | |||
1290 | carry[0] = (s0 + (1 << 20)) >> 21 | ||
1291 | s1 += carry[0] | ||
1292 | s0 -= carry[0] << 21 | ||
1293 | carry[2] = (s2 + (1 << 20)) >> 21 | ||
1294 | s3 += carry[2] | ||
1295 | s2 -= carry[2] << 21 | ||
1296 | carry[4] = (s4 + (1 << 20)) >> 21 | ||
1297 | s5 += carry[4] | ||
1298 | s4 -= carry[4] << 21 | ||
1299 | carry[6] = (s6 + (1 << 20)) >> 21 | ||
1300 | s7 += carry[6] | ||
1301 | s6 -= carry[6] << 21 | ||
1302 | carry[8] = (s8 + (1 << 20)) >> 21 | ||
1303 | s9 += carry[8] | ||
1304 | s8 -= carry[8] << 21 | ||
1305 | carry[10] = (s10 + (1 << 20)) >> 21 | ||
1306 | s11 += carry[10] | ||
1307 | s10 -= carry[10] << 21 | ||
1308 | |||
1309 | carry[1] = (s1 + (1 << 20)) >> 21 | ||
1310 | s2 += carry[1] | ||
1311 | s1 -= carry[1] << 21 | ||
1312 | carry[3] = (s3 + (1 << 20)) >> 21 | ||
1313 | s4 += carry[3] | ||
1314 | s3 -= carry[3] << 21 | ||
1315 | carry[5] = (s5 + (1 << 20)) >> 21 | ||
1316 | s6 += carry[5] | ||
1317 | s5 -= carry[5] << 21 | ||
1318 | carry[7] = (s7 + (1 << 20)) >> 21 | ||
1319 | s8 += carry[7] | ||
1320 | s7 -= carry[7] << 21 | ||
1321 | carry[9] = (s9 + (1 << 20)) >> 21 | ||
1322 | s10 += carry[9] | ||
1323 | s9 -= carry[9] << 21 | ||
1324 | carry[11] = (s11 + (1 << 20)) >> 21 | ||
1325 | s12 += carry[11] | ||
1326 | s11 -= carry[11] << 21 | ||
1327 | |||
1328 | s0 += s12 * 666643 | ||
1329 | s1 += s12 * 470296 | ||
1330 | s2 += s12 * 654183 | ||
1331 | s3 -= s12 * 997805 | ||
1332 | s4 += s12 * 136657 | ||
1333 | s5 -= s12 * 683901 | ||
1334 | s12 = 0 | ||
1335 | |||
1336 | carry[0] = s0 >> 21 | ||
1337 | s1 += carry[0] | ||
1338 | s0 -= carry[0] << 21 | ||
1339 | carry[1] = s1 >> 21 | ||
1340 | s2 += carry[1] | ||
1341 | s1 -= carry[1] << 21 | ||
1342 | carry[2] = s2 >> 21 | ||
1343 | s3 += carry[2] | ||
1344 | s2 -= carry[2] << 21 | ||
1345 | carry[3] = s3 >> 21 | ||
1346 | s4 += carry[3] | ||
1347 | s3 -= carry[3] << 21 | ||
1348 | carry[4] = s4 >> 21 | ||
1349 | s5 += carry[4] | ||
1350 | s4 -= carry[4] << 21 | ||
1351 | carry[5] = s5 >> 21 | ||
1352 | s6 += carry[5] | ||
1353 | s5 -= carry[5] << 21 | ||
1354 | carry[6] = s6 >> 21 | ||
1355 | s7 += carry[6] | ||
1356 | s6 -= carry[6] << 21 | ||
1357 | carry[7] = s7 >> 21 | ||
1358 | s8 += carry[7] | ||
1359 | s7 -= carry[7] << 21 | ||
1360 | carry[8] = s8 >> 21 | ||
1361 | s9 += carry[8] | ||
1362 | s8 -= carry[8] << 21 | ||
1363 | carry[9] = s9 >> 21 | ||
1364 | s10 += carry[9] | ||
1365 | s9 -= carry[9] << 21 | ||
1366 | carry[10] = s10 >> 21 | ||
1367 | s11 += carry[10] | ||
1368 | s10 -= carry[10] << 21 | ||
1369 | carry[11] = s11 >> 21 | ||
1370 | s12 += carry[11] | ||
1371 | s11 -= carry[11] << 21 | ||
1372 | |||
1373 | s0 += s12 * 666643 | ||
1374 | s1 += s12 * 470296 | ||
1375 | s2 += s12 * 654183 | ||
1376 | s3 -= s12 * 997805 | ||
1377 | s4 += s12 * 136657 | ||
1378 | s5 -= s12 * 683901 | ||
1379 | s12 = 0 | ||
1380 | |||
1381 | carry[0] = s0 >> 21 | ||
1382 | s1 += carry[0] | ||
1383 | s0 -= carry[0] << 21 | ||
1384 | carry[1] = s1 >> 21 | ||
1385 | s2 += carry[1] | ||
1386 | s1 -= carry[1] << 21 | ||
1387 | carry[2] = s2 >> 21 | ||
1388 | s3 += carry[2] | ||
1389 | s2 -= carry[2] << 21 | ||
1390 | carry[3] = s3 >> 21 | ||
1391 | s4 += carry[3] | ||
1392 | s3 -= carry[3] << 21 | ||
1393 | carry[4] = s4 >> 21 | ||
1394 | s5 += carry[4] | ||
1395 | s4 -= carry[4] << 21 | ||
1396 | carry[5] = s5 >> 21 | ||
1397 | s6 += carry[5] | ||
1398 | s5 -= carry[5] << 21 | ||
1399 | carry[6] = s6 >> 21 | ||
1400 | s7 += carry[6] | ||
1401 | s6 -= carry[6] << 21 | ||
1402 | carry[7] = s7 >> 21 | ||
1403 | s8 += carry[7] | ||
1404 | s7 -= carry[7] << 21 | ||
1405 | carry[8] = s8 >> 21 | ||
1406 | s9 += carry[8] | ||
1407 | s8 -= carry[8] << 21 | ||
1408 | carry[9] = s9 >> 21 | ||
1409 | s10 += carry[9] | ||
1410 | s9 -= carry[9] << 21 | ||
1411 | carry[10] = s10 >> 21 | ||
1412 | s11 += carry[10] | ||
1413 | s10 -= carry[10] << 21 | ||
1414 | |||
1415 | s[0] = byte(s0 >> 0) | ||
1416 | s[1] = byte(s0 >> 8) | ||
1417 | s[2] = byte((s0 >> 16) | (s1 << 5)) | ||
1418 | s[3] = byte(s1 >> 3) | ||
1419 | s[4] = byte(s1 >> 11) | ||
1420 | s[5] = byte((s1 >> 19) | (s2 << 2)) | ||
1421 | s[6] = byte(s2 >> 6) | ||
1422 | s[7] = byte((s2 >> 14) | (s3 << 7)) | ||
1423 | s[8] = byte(s3 >> 1) | ||
1424 | s[9] = byte(s3 >> 9) | ||
1425 | s[10] = byte((s3 >> 17) | (s4 << 4)) | ||
1426 | s[11] = byte(s4 >> 4) | ||
1427 | s[12] = byte(s4 >> 12) | ||
1428 | s[13] = byte((s4 >> 20) | (s5 << 1)) | ||
1429 | s[14] = byte(s5 >> 7) | ||
1430 | s[15] = byte((s5 >> 15) | (s6 << 6)) | ||
1431 | s[16] = byte(s6 >> 2) | ||
1432 | s[17] = byte(s6 >> 10) | ||
1433 | s[18] = byte((s6 >> 18) | (s7 << 3)) | ||
1434 | s[19] = byte(s7 >> 5) | ||
1435 | s[20] = byte(s7 >> 13) | ||
1436 | s[21] = byte(s8 >> 0) | ||
1437 | s[22] = byte(s8 >> 8) | ||
1438 | s[23] = byte((s8 >> 16) | (s9 << 5)) | ||
1439 | s[24] = byte(s9 >> 3) | ||
1440 | s[25] = byte(s9 >> 11) | ||
1441 | s[26] = byte((s9 >> 19) | (s10 << 2)) | ||
1442 | s[27] = byte(s10 >> 6) | ||
1443 | s[28] = byte((s10 >> 14) | (s11 << 7)) | ||
1444 | s[29] = byte(s11 >> 1) | ||
1445 | s[30] = byte(s11 >> 9) | ||
1446 | s[31] = byte(s11 >> 17) | ||
1447 | } | ||
1448 | |||
1449 | // Input: | ||
1450 | // s[0]+256*s[1]+...+256^63*s[63] = s | ||
1451 | // | ||
1452 | // Output: | ||
1453 | // s[0]+256*s[1]+...+256^31*s[31] = s mod l | ||
1454 | // where l = 2^252 + 27742317777372353535851937790883648493. | ||
1455 | func ScReduce(out *[32]byte, s *[64]byte) { | ||
1456 | s0 := 2097151 & load3(s[:]) | ||
1457 | s1 := 2097151 & (load4(s[2:]) >> 5) | ||
1458 | s2 := 2097151 & (load3(s[5:]) >> 2) | ||
1459 | s3 := 2097151 & (load4(s[7:]) >> 7) | ||
1460 | s4 := 2097151 & (load4(s[10:]) >> 4) | ||
1461 | s5 := 2097151 & (load3(s[13:]) >> 1) | ||
1462 | s6 := 2097151 & (load4(s[15:]) >> 6) | ||
1463 | s7 := 2097151 & (load3(s[18:]) >> 3) | ||
1464 | s8 := 2097151 & load3(s[21:]) | ||
1465 | s9 := 2097151 & (load4(s[23:]) >> 5) | ||
1466 | s10 := 2097151 & (load3(s[26:]) >> 2) | ||
1467 | s11 := 2097151 & (load4(s[28:]) >> 7) | ||
1468 | s12 := 2097151 & (load4(s[31:]) >> 4) | ||
1469 | s13 := 2097151 & (load3(s[34:]) >> 1) | ||
1470 | s14 := 2097151 & (load4(s[36:]) >> 6) | ||
1471 | s15 := 2097151 & (load3(s[39:]) >> 3) | ||
1472 | s16 := 2097151 & load3(s[42:]) | ||
1473 | s17 := 2097151 & (load4(s[44:]) >> 5) | ||
1474 | s18 := 2097151 & (load3(s[47:]) >> 2) | ||
1475 | s19 := 2097151 & (load4(s[49:]) >> 7) | ||
1476 | s20 := 2097151 & (load4(s[52:]) >> 4) | ||
1477 | s21 := 2097151 & (load3(s[55:]) >> 1) | ||
1478 | s22 := 2097151 & (load4(s[57:]) >> 6) | ||
1479 | s23 := (load4(s[60:]) >> 3) | ||
1480 | |||
1481 | s11 += s23 * 666643 | ||
1482 | s12 += s23 * 470296 | ||
1483 | s13 += s23 * 654183 | ||
1484 | s14 -= s23 * 997805 | ||
1485 | s15 += s23 * 136657 | ||
1486 | s16 -= s23 * 683901 | ||
1487 | s23 = 0 | ||
1488 | |||
1489 | s10 += s22 * 666643 | ||
1490 | s11 += s22 * 470296 | ||
1491 | s12 += s22 * 654183 | ||
1492 | s13 -= s22 * 997805 | ||
1493 | s14 += s22 * 136657 | ||
1494 | s15 -= s22 * 683901 | ||
1495 | s22 = 0 | ||
1496 | |||
1497 | s9 += s21 * 666643 | ||
1498 | s10 += s21 * 470296 | ||
1499 | s11 += s21 * 654183 | ||
1500 | s12 -= s21 * 997805 | ||
1501 | s13 += s21 * 136657 | ||
1502 | s14 -= s21 * 683901 | ||
1503 | s21 = 0 | ||
1504 | |||
1505 | s8 += s20 * 666643 | ||
1506 | s9 += s20 * 470296 | ||
1507 | s10 += s20 * 654183 | ||
1508 | s11 -= s20 * 997805 | ||
1509 | s12 += s20 * 136657 | ||
1510 | s13 -= s20 * 683901 | ||
1511 | s20 = 0 | ||
1512 | |||
1513 | s7 += s19 * 666643 | ||
1514 | s8 += s19 * 470296 | ||
1515 | s9 += s19 * 654183 | ||
1516 | s10 -= s19 * 997805 | ||
1517 | s11 += s19 * 136657 | ||
1518 | s12 -= s19 * 683901 | ||
1519 | s19 = 0 | ||
1520 | |||
1521 | s6 += s18 * 666643 | ||
1522 | s7 += s18 * 470296 | ||
1523 | s8 += s18 * 654183 | ||
1524 | s9 -= s18 * 997805 | ||
1525 | s10 += s18 * 136657 | ||
1526 | s11 -= s18 * 683901 | ||
1527 | s18 = 0 | ||
1528 | |||
1529 | var carry [17]int64 | ||
1530 | |||
1531 | carry[6] = (s6 + (1 << 20)) >> 21 | ||
1532 | s7 += carry[6] | ||
1533 | s6 -= carry[6] << 21 | ||
1534 | carry[8] = (s8 + (1 << 20)) >> 21 | ||
1535 | s9 += carry[8] | ||
1536 | s8 -= carry[8] << 21 | ||
1537 | carry[10] = (s10 + (1 << 20)) >> 21 | ||
1538 | s11 += carry[10] | ||
1539 | s10 -= carry[10] << 21 | ||
1540 | carry[12] = (s12 + (1 << 20)) >> 21 | ||
1541 | s13 += carry[12] | ||
1542 | s12 -= carry[12] << 21 | ||
1543 | carry[14] = (s14 + (1 << 20)) >> 21 | ||
1544 | s15 += carry[14] | ||
1545 | s14 -= carry[14] << 21 | ||
1546 | carry[16] = (s16 + (1 << 20)) >> 21 | ||
1547 | s17 += carry[16] | ||
1548 | s16 -= carry[16] << 21 | ||
1549 | |||
1550 | carry[7] = (s7 + (1 << 20)) >> 21 | ||
1551 | s8 += carry[7] | ||
1552 | s7 -= carry[7] << 21 | ||
1553 | carry[9] = (s9 + (1 << 20)) >> 21 | ||
1554 | s10 += carry[9] | ||
1555 | s9 -= carry[9] << 21 | ||
1556 | carry[11] = (s11 + (1 << 20)) >> 21 | ||
1557 | s12 += carry[11] | ||
1558 | s11 -= carry[11] << 21 | ||
1559 | carry[13] = (s13 + (1 << 20)) >> 21 | ||
1560 | s14 += carry[13] | ||
1561 | s13 -= carry[13] << 21 | ||
1562 | carry[15] = (s15 + (1 << 20)) >> 21 | ||
1563 | s16 += carry[15] | ||
1564 | s15 -= carry[15] << 21 | ||
1565 | |||
1566 | s5 += s17 * 666643 | ||
1567 | s6 += s17 * 470296 | ||
1568 | s7 += s17 * 654183 | ||
1569 | s8 -= s17 * 997805 | ||
1570 | s9 += s17 * 136657 | ||
1571 | s10 -= s17 * 683901 | ||
1572 | s17 = 0 | ||
1573 | |||
1574 | s4 += s16 * 666643 | ||
1575 | s5 += s16 * 470296 | ||
1576 | s6 += s16 * 654183 | ||
1577 | s7 -= s16 * 997805 | ||
1578 | s8 += s16 * 136657 | ||
1579 | s9 -= s16 * 683901 | ||
1580 | s16 = 0 | ||
1581 | |||
1582 | s3 += s15 * 666643 | ||
1583 | s4 += s15 * 470296 | ||
1584 | s5 += s15 * 654183 | ||
1585 | s6 -= s15 * 997805 | ||
1586 | s7 += s15 * 136657 | ||
1587 | s8 -= s15 * 683901 | ||
1588 | s15 = 0 | ||
1589 | |||
1590 | s2 += s14 * 666643 | ||
1591 | s3 += s14 * 470296 | ||
1592 | s4 += s14 * 654183 | ||
1593 | s5 -= s14 * 997805 | ||
1594 | s6 += s14 * 136657 | ||
1595 | s7 -= s14 * 683901 | ||
1596 | s14 = 0 | ||
1597 | |||
1598 | s1 += s13 * 666643 | ||
1599 | s2 += s13 * 470296 | ||
1600 | s3 += s13 * 654183 | ||
1601 | s4 -= s13 * 997805 | ||
1602 | s5 += s13 * 136657 | ||
1603 | s6 -= s13 * 683901 | ||
1604 | s13 = 0 | ||
1605 | |||
1606 | s0 += s12 * 666643 | ||
1607 | s1 += s12 * 470296 | ||
1608 | s2 += s12 * 654183 | ||
1609 | s3 -= s12 * 997805 | ||
1610 | s4 += s12 * 136657 | ||
1611 | s5 -= s12 * 683901 | ||
1612 | s12 = 0 | ||
1613 | |||
1614 | carry[0] = (s0 + (1 << 20)) >> 21 | ||
1615 | s1 += carry[0] | ||
1616 | s0 -= carry[0] << 21 | ||
1617 | carry[2] = (s2 + (1 << 20)) >> 21 | ||
1618 | s3 += carry[2] | ||
1619 | s2 -= carry[2] << 21 | ||
1620 | carry[4] = (s4 + (1 << 20)) >> 21 | ||
1621 | s5 += carry[4] | ||
1622 | s4 -= carry[4] << 21 | ||
1623 | carry[6] = (s6 + (1 << 20)) >> 21 | ||
1624 | s7 += carry[6] | ||
1625 | s6 -= carry[6] << 21 | ||
1626 | carry[8] = (s8 + (1 << 20)) >> 21 | ||
1627 | s9 += carry[8] | ||
1628 | s8 -= carry[8] << 21 | ||
1629 | carry[10] = (s10 + (1 << 20)) >> 21 | ||
1630 | s11 += carry[10] | ||
1631 | s10 -= carry[10] << 21 | ||
1632 | |||
1633 | carry[1] = (s1 + (1 << 20)) >> 21 | ||
1634 | s2 += carry[1] | ||
1635 | s1 -= carry[1] << 21 | ||
1636 | carry[3] = (s3 + (1 << 20)) >> 21 | ||
1637 | s4 += carry[3] | ||
1638 | s3 -= carry[3] << 21 | ||
1639 | carry[5] = (s5 + (1 << 20)) >> 21 | ||
1640 | s6 += carry[5] | ||
1641 | s5 -= carry[5] << 21 | ||
1642 | carry[7] = (s7 + (1 << 20)) >> 21 | ||
1643 | s8 += carry[7] | ||
1644 | s7 -= carry[7] << 21 | ||
1645 | carry[9] = (s9 + (1 << 20)) >> 21 | ||
1646 | s10 += carry[9] | ||
1647 | s9 -= carry[9] << 21 | ||
1648 | carry[11] = (s11 + (1 << 20)) >> 21 | ||
1649 | s12 += carry[11] | ||
1650 | s11 -= carry[11] << 21 | ||
1651 | |||
1652 | s0 += s12 * 666643 | ||
1653 | s1 += s12 * 470296 | ||
1654 | s2 += s12 * 654183 | ||
1655 | s3 -= s12 * 997805 | ||
1656 | s4 += s12 * 136657 | ||
1657 | s5 -= s12 * 683901 | ||
1658 | s12 = 0 | ||
1659 | |||
1660 | carry[0] = s0 >> 21 | ||
1661 | s1 += carry[0] | ||
1662 | s0 -= carry[0] << 21 | ||
1663 | carry[1] = s1 >> 21 | ||
1664 | s2 += carry[1] | ||
1665 | s1 -= carry[1] << 21 | ||
1666 | carry[2] = s2 >> 21 | ||
1667 | s3 += carry[2] | ||
1668 | s2 -= carry[2] << 21 | ||
1669 | carry[3] = s3 >> 21 | ||
1670 | s4 += carry[3] | ||
1671 | s3 -= carry[3] << 21 | ||
1672 | carry[4] = s4 >> 21 | ||
1673 | s5 += carry[4] | ||
1674 | s4 -= carry[4] << 21 | ||
1675 | carry[5] = s5 >> 21 | ||
1676 | s6 += carry[5] | ||
1677 | s5 -= carry[5] << 21 | ||
1678 | carry[6] = s6 >> 21 | ||
1679 | s7 += carry[6] | ||
1680 | s6 -= carry[6] << 21 | ||
1681 | carry[7] = s7 >> 21 | ||
1682 | s8 += carry[7] | ||
1683 | s7 -= carry[7] << 21 | ||
1684 | carry[8] = s8 >> 21 | ||
1685 | s9 += carry[8] | ||
1686 | s8 -= carry[8] << 21 | ||
1687 | carry[9] = s9 >> 21 | ||
1688 | s10 += carry[9] | ||
1689 | s9 -= carry[9] << 21 | ||
1690 | carry[10] = s10 >> 21 | ||
1691 | s11 += carry[10] | ||
1692 | s10 -= carry[10] << 21 | ||
1693 | carry[11] = s11 >> 21 | ||
1694 | s12 += carry[11] | ||
1695 | s11 -= carry[11] << 21 | ||
1696 | |||
1697 | s0 += s12 * 666643 | ||
1698 | s1 += s12 * 470296 | ||
1699 | s2 += s12 * 654183 | ||
1700 | s3 -= s12 * 997805 | ||
1701 | s4 += s12 * 136657 | ||
1702 | s5 -= s12 * 683901 | ||
1703 | s12 = 0 | ||
1704 | |||
1705 | carry[0] = s0 >> 21 | ||
1706 | s1 += carry[0] | ||
1707 | s0 -= carry[0] << 21 | ||
1708 | carry[1] = s1 >> 21 | ||
1709 | s2 += carry[1] | ||
1710 | s1 -= carry[1] << 21 | ||
1711 | carry[2] = s2 >> 21 | ||
1712 | s3 += carry[2] | ||
1713 | s2 -= carry[2] << 21 | ||
1714 | carry[3] = s3 >> 21 | ||
1715 | s4 += carry[3] | ||
1716 | s3 -= carry[3] << 21 | ||
1717 | carry[4] = s4 >> 21 | ||
1718 | s5 += carry[4] | ||
1719 | s4 -= carry[4] << 21 | ||
1720 | carry[5] = s5 >> 21 | ||
1721 | s6 += carry[5] | ||
1722 | s5 -= carry[5] << 21 | ||
1723 | carry[6] = s6 >> 21 | ||
1724 | s7 += carry[6] | ||
1725 | s6 -= carry[6] << 21 | ||
1726 | carry[7] = s7 >> 21 | ||
1727 | s8 += carry[7] | ||
1728 | s7 -= carry[7] << 21 | ||
1729 | carry[8] = s8 >> 21 | ||
1730 | s9 += carry[8] | ||
1731 | s8 -= carry[8] << 21 | ||
1732 | carry[9] = s9 >> 21 | ||
1733 | s10 += carry[9] | ||
1734 | s9 -= carry[9] << 21 | ||
1735 | carry[10] = s10 >> 21 | ||
1736 | s11 += carry[10] | ||
1737 | s10 -= carry[10] << 21 | ||
1738 | |||
1739 | out[0] = byte(s0 >> 0) | ||
1740 | out[1] = byte(s0 >> 8) | ||
1741 | out[2] = byte((s0 >> 16) | (s1 << 5)) | ||
1742 | out[3] = byte(s1 >> 3) | ||
1743 | out[4] = byte(s1 >> 11) | ||
1744 | out[5] = byte((s1 >> 19) | (s2 << 2)) | ||
1745 | out[6] = byte(s2 >> 6) | ||
1746 | out[7] = byte((s2 >> 14) | (s3 << 7)) | ||
1747 | out[8] = byte(s3 >> 1) | ||
1748 | out[9] = byte(s3 >> 9) | ||
1749 | out[10] = byte((s3 >> 17) | (s4 << 4)) | ||
1750 | out[11] = byte(s4 >> 4) | ||
1751 | out[12] = byte(s4 >> 12) | ||
1752 | out[13] = byte((s4 >> 20) | (s5 << 1)) | ||
1753 | out[14] = byte(s5 >> 7) | ||
1754 | out[15] = byte((s5 >> 15) | (s6 << 6)) | ||
1755 | out[16] = byte(s6 >> 2) | ||
1756 | out[17] = byte(s6 >> 10) | ||
1757 | out[18] = byte((s6 >> 18) | (s7 << 3)) | ||
1758 | out[19] = byte(s7 >> 5) | ||
1759 | out[20] = byte(s7 >> 13) | ||
1760 | out[21] = byte(s8 >> 0) | ||
1761 | out[22] = byte(s8 >> 8) | ||
1762 | out[23] = byte((s8 >> 16) | (s9 << 5)) | ||
1763 | out[24] = byte(s9 >> 3) | ||
1764 | out[25] = byte(s9 >> 11) | ||
1765 | out[26] = byte((s9 >> 19) | (s10 << 2)) | ||
1766 | out[27] = byte(s10 >> 6) | ||
1767 | out[28] = byte((s10 >> 14) | (s11 << 7)) | ||
1768 | out[29] = byte(s11 >> 1) | ||
1769 | out[30] = byte(s11 >> 9) | ||
1770 | out[31] = byte(s11 >> 17) | ||
1771 | } | ||