diff --git a/third_party/fiat/curve25519_tables.h b/third_party/fiat/curve25519_tables.h
index b459660..a05702d 100644
--- a/third_party/fiat/curve25519_tables.h
+++ b/third_party/fiat/curve25519_tables.h
@@ -9,8 +9,8 @@
 // copies of the Software, and to permit persons to whom the Software is
 // furnished to do so, subject to the following conditions:
 //
-// The above copyright notice and this permission notice shall be included in all
-// copies or substantial portions of the Software.
+// The above copyright notice and this permission notice shall be included in
+// all copies or substantial portions of the Software.
 //
 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 // IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
@@ -20,6 +20,10 @@
 // OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
 // SOFTWARE.
 
+// This file is generated from
+//    ./make_curve25519_tables.py > curve25519_tables.h
+
+
 #if defined(OPENSSL_SMALL)
 
 // This block of code replaces the standard base-point table with a much smaller
@@ -120,2182 +124,2183 @@
     {
         {
             {{25967493, 19198397, 29566455, 3660896, 54414519, 4014786,
-             27544626, 21800161, 61029707, 2047604}},
+              27544626, 21800161, 61029707, 2047604}},
             {{54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692,
-             5043384, 19500929, 18085054}},
+              5043384, 19500929, 18085054}},
             {{58370664, 4489569, 9688441, 18769238, 10184608, 21191052,
-             29287918, 11864899, 42594502, 29115885}},
+              29287918, 11864899, 42594502, 29115885}},
         },
         {
             {{54292951, 20578084, 45527620, 11784319, 41753206, 30803714,
-             55390960, 29739860, 66750418, 23343128}},
+              55390960, 29739860, 66750418, 23343128}},
             {{45405608, 6903824, 27185491, 6451973, 37531140, 24000426,
-             51492312, 11189267, 40279186, 28235350}},
+              51492312, 11189267, 40279186, 28235350}},
             {{26966623, 11152617, 32442495, 15396054, 14353839, 20802097,
-             63980037, 24013313, 51636816, 29387734}},
+              63980037, 24013313, 51636816, 29387734}},
         },
         {
             {{15636272, 23865875, 24204772, 25642034, 616976, 16869170,
-             27787599, 18782243, 28944399, 32004408}},
+              27787599, 18782243, 28944399, 32004408}},
             {{16568933, 4717097, 55552716, 32452109, 15682895, 21747389,
-             16354576, 21778470, 7689661, 11199574}},
+              16354576, 21778470, 7689661, 11199574}},
             {{30464137, 27578307, 55329429, 17883566, 23220364, 15915852,
-             7512774, 10017326, 49359771, 23634074}},
+              7512774, 10017326, 49359771, 23634074}},
         },
         {
             {{50071967, 13921891, 10945806, 27521001, 27105051, 17470053,
-             38182653, 15006022, 3284568, 27277892}},
+              38182653, 15006022, 3284568, 27277892}},
             {{23599295, 25248385, 55915199, 25867015, 13236773, 10506355,
-             7464579, 9656445, 13059162, 10374397}},
+              7464579, 9656445, 13059162, 10374397}},
             {{7798537, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664,
-             29715387, 66467155, 33453106}},
+              29715387, 66467155, 33453106}},
         },
         {
             {{10861363, 11473154, 27284546, 1981175, 37044515, 12577860,
-             32867885, 14515107, 51670560, 10819379}},
+              32867885, 14515107, 51670560, 10819379}},
             {{4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196,
-             12483687, 54440373, 5581305}},
+              12483687, 54440373, 5581305}},
             {{19563141, 16186464, 37722007, 4097518, 10237984, 29206317,
-             28542349, 13850243, 43430843, 17738489}},
+              28542349, 13850243, 43430843, 17738489}},
         },
         {
             {{51736881, 20691677, 32573249, 4720197, 40672342, 5875510,
-             47920237, 18329612, 57289923, 21468654}},
+              47920237, 18329612, 57289923, 21468654}},
             {{58559652, 109982, 15149363, 2178705, 22900618, 4543417, 3044240,
-             17864545, 1762327, 14866737}},
+              17864545, 1762327, 14866737}},
             {{48909169, 17603008, 56635573, 1707277, 49922944, 3916100,
-             38872452, 3959420, 27914454, 4383652}},
+              38872452, 3959420, 27914454, 4383652}},
         },
         {
             {{5153727, 9909285, 1723747, 30776558, 30523604, 5516873, 19480852,
-             5230134, 43156425, 18378665}},
+              5230134, 43156425, 18378665}},
             {{36839857, 30090922, 7665485, 10083793, 28475525, 1649722,
-             20654025, 16520125, 30598449, 7715701}},
-            {{28881826, 14381568, 9657904, 3680757, 46927229, 7843315,
-             35708204, 1370707, 29794553, 32145132}},
+              20654025, 16520125, 30598449, 7715701}},
+            {{28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204,
+              1370707, 29794553, 32145132}},
         },
         {
             {{14499471, 30824833, 33917750, 29299779, 28494861, 14271267,
-             30290735, 10876454, 33954766, 2381725}},
-            {{59913433, 30899068, 52378708, 462250, 39384538, 3941371,
-             60872247, 3696004, 34808032, 15351954}},
+              30290735, 10876454, 33954766, 2381725}},
+            {{59913433, 30899068, 52378708, 462250, 39384538, 3941371, 60872247,
+              3696004, 34808032, 15351954}},
             {{27431194, 8222322, 16448760, 29646437, 48401861, 11938354,
-             34147463, 30583916, 29551812, 10109425}},
+              34147463, 30583916, 29551812, 10109425}},
         },
     },
     {
         {
             {{53451805, 20399000, 35825113, 11777097, 21447386, 6519384,
-             64730580, 31926875, 10092782, 28790261}},
+              64730580, 31926875, 10092782, 28790261}},
             {{27939166, 14210322, 4677035, 16277044, 44144402, 21156292,
-             34600109, 12005537, 49298737, 12803509}},
+              34600109, 12005537, 49298737, 12803509}},
             {{17228999, 17892808, 65875336, 300139, 65883994, 21839654,
-             30364212, 24516238, 18016356, 4397660}},
+              30364212, 24516238, 18016356, 4397660}},
         },
         {
             {{56150021, 25864224, 4776340, 18600194, 27850027, 17952220,
-             40489757, 14544524, 49631360, 982638}},
-            {{29253598, 15796703, 64244882, 23645547, 10057022, 3163536, 7332899,
-             29434304, 46061167, 9934962}},
+              40489757, 14544524, 49631360, 982638}},
+            {{29253598, 15796703, 64244882, 23645547, 10057022, 3163536,
+              7332899, 29434304, 46061167, 9934962}},
             {{5793284, 16271923, 42977250, 23438027, 29188559, 1206517,
-             52360934, 4559894, 36984942, 22656481}},
+              52360934, 4559894, 36984942, 22656481}},
         },
         {
             {{39464912, 22061425, 16282656, 22517939, 28414020, 18542168,
-             24191033, 4541697, 53770555, 5500567}},
+              24191033, 4541697, 53770555, 5500567}},
             {{12650548, 32057319, 9052870, 11355358, 49428827, 25154267,
-             49678271, 12264342, 10874051, 13524335}},
+              49678271, 12264342, 10874051, 13524335}},
             {{25556948, 30508442, 714650, 2510400, 23394682, 23139102, 33119037,
-             5080568, 44580805, 5376627}},
+              5080568, 44580805, 5376627}},
         },
         {
             {{41020600, 29543379, 50095164, 30016803, 60382070, 1920896,
-             44787559, 24106988, 4535767, 1569007}},
+              44787559, 24106988, 4535767, 1569007}},
             {{64853442, 14606629, 45416424, 25514613, 28430648, 8775819,
-             36614302, 3044289, 31848280, 12543772}},
+              36614302, 3044289, 31848280, 12543772}},
             {{45080285, 2943892, 35251351, 6777305, 13784462, 29262229,
-             39731668, 31491700, 7718481, 14474653}},
+              39731668, 31491700, 7718481, 14474653}},
         },
         {
             {{2385296, 2454213, 44477544, 46602, 62670929, 17874016, 656964,
-             26317767, 24316167, 28300865}},
+              26317767, 24316167, 28300865}},
             {{13741529, 10911568, 33875447, 24950694, 46931033, 32521134,
-             33040650, 20129900, 46379407, 8321685}},
+              33040650, 20129900, 46379407, 8321685}},
             {{21060490, 31341688, 15712756, 29218333, 1639039, 10656336,
-             23845965, 21679594, 57124405, 608371}},
+              23845965, 21679594, 57124405, 608371}},
         },
         {
             {{53436132, 18466845, 56219170, 25997372, 61071954, 11305546,
-             1123968, 26773855, 27229398, 23887}},
+              1123968, 26773855, 27229398, 23887}},
             {{43864724, 33260226, 55364135, 14712570, 37643165, 31524814,
-             12797023, 27114124, 65475458, 16678953}},
-            {{37608244, 4770661, 51054477, 14001337, 7830047, 9564805,
-             65600720, 28759386, 49939598, 4904952}},
+              12797023, 27114124, 65475458, 16678953}},
+            {{37608244, 4770661, 51054477, 14001337, 7830047, 9564805, 65600720,
+              28759386, 49939598, 4904952}},
         },
         {
             {{24059538, 14617003, 19037157, 18514524, 19766092, 18648003,
-             5169210, 16191880, 2128236, 29227599}},
+              5169210, 16191880, 2128236, 29227599}},
             {{50127693, 4124965, 58568254, 22900634, 30336521, 19449185,
-             37302527, 916032, 60226322, 30567899}},
+              37302527, 916032, 60226322, 30567899}},
             {{44477957, 12419371, 59974635, 26081060, 50629959, 16739174,
-             285431, 2763829, 15736322, 4143876}},
+              285431, 2763829, 15736322, 4143876}},
         },
         {
             {{2379333, 11839345, 62998462, 27565766, 11274297, 794957, 212801,
-             18959769, 23527083, 17096164}},
+              18959769, 23527083, 17096164}},
             {{33431108, 22423954, 49269897, 17927531, 8909498, 8376530,
-             34483524, 4087880, 51919953, 19138217}},
+              34483524, 4087880, 51919953, 19138217}},
             {{1767664, 7197987, 53903638, 31531796, 54017513, 448825, 5799055,
-             4357868, 62334673, 17231393}},
+              4357868, 62334673, 17231393}},
         },
     },
     {
         {
             {{6721966, 13833823, 43585476, 32003117, 26354292, 21691111,
-             23365146, 29604700, 7390889, 2759800}},
+              23365146, 29604700, 7390889, 2759800}},
             {{4409022, 2052381, 23373853, 10530217, 7676779, 20668478, 21302352,
-             29290375, 1244379, 20634787}},
-            {{62687625, 7169618, 4982368, 30596842, 30256824, 30776892, 14086412,
-             9208236, 15886429, 16489664}},
+              29290375, 1244379, 20634787}},
+            {{62687625, 7169618, 4982368, 30596842, 30256824, 30776892,
+              14086412, 9208236, 15886429, 16489664}},
         },
         {
             {{1996056, 10375649, 14346367, 13311202, 60234729, 17116020,
-             53415665, 398368, 36502409, 32841498}},
+              53415665, 398368, 36502409, 32841498}},
             {{41801399, 9795879, 64331450, 14878808, 33577029, 14780362,
-             13348553, 12076947, 36272402, 5113181}},
+              13348553, 12076947, 36272402, 5113181}},
             {{49338080, 11797795, 31950843, 13929123, 41220562, 12288343,
-             36767763, 26218045, 13847710, 5387222}},
+              36767763, 26218045, 13847710, 5387222}},
         },
         {
             {{48526701, 30138214, 17824842, 31213466, 22744342, 23111821,
-             8763060, 3617786, 47508202, 10370990}},
+              8763060, 3617786, 47508202, 10370990}},
             {{20246567, 19185054, 22358228, 33010720, 18507282, 23140436,
-             14554436, 24808340, 32232923, 16763880}},
+              14554436, 24808340, 32232923, 16763880}},
             {{9648486, 10094563, 26416693, 14745928, 36734546, 27081810,
-             11094160, 15689506, 3140038, 17044340}},
+              11094160, 15689506, 3140038, 17044340}},
         },
         {
-            {{50948792, 5472694, 31895588, 4744994, 8823515, 10365685,
-             39884064, 9448612, 38334410, 366294}},
+            {{50948792, 5472694, 31895588, 4744994, 8823515, 10365685, 39884064,
+              9448612, 38334410, 366294}},
             {{19153450, 11523972, 56012374, 27051289, 42461232, 5420646,
-             28344573, 8041113, 719605, 11671788}},
+              28344573, 8041113, 719605, 11671788}},
             {{8678006, 2694440, 60300850, 2517371, 4964326, 11152271, 51675948,
-             18287915, 27000812, 23358879}},
+              18287915, 27000812, 23358879}},
         },
         {
             {{51950941, 7134311, 8639287, 30739555, 59873175, 10421741, 564065,
-             5336097, 6750977, 19033406}},
+              5336097, 6750977, 19033406}},
             {{11836410, 29574944, 26297893, 16080799, 23455045, 15735944,
-             1695823, 24735310, 8169719, 16220347}},
+              1695823, 24735310, 8169719, 16220347}},
             {{48993007, 8653646, 17578566, 27461813, 59083086, 17541668,
-             55964556, 30926767, 61118155, 19388398}},
+              55964556, 30926767, 61118155, 19388398}},
         },
         {
             {{43800366, 22586119, 15213227, 23473218, 36255258, 22504427,
-             27884328, 2847284, 2655861, 1738395}},
+              27884328, 2847284, 2655861, 1738395}},
             {{39571412, 19301410, 41772562, 25551651, 57738101, 8129820,
-             21651608, 30315096, 48021414, 22549153}},
+              21651608, 30315096, 48021414, 22549153}},
             {{1533110, 3437855, 23735889, 459276, 29970501, 11335377, 26030092,
-             5821408, 10478196, 8544890}},
+              5821408, 10478196, 8544890}},
         },
         {
             {{32173102, 17425121, 24896206, 3921497, 22579056, 30143578,
-             19270448, 12217473, 17789017, 30158437}},
+              19270448, 12217473, 17789017, 30158437}},
             {{36555903, 31326030, 51530034, 23407230, 13243888, 517024,
-             15479401, 29701199, 30460519, 1052596}},
+              15479401, 29701199, 30460519, 1052596}},
             {{55493970, 13323617, 32618793, 8175907, 51878691, 12596686,
-             27491595, 28942073, 3179267, 24075541}},
+              27491595, 28942073, 3179267, 24075541}},
         },
         {
             {{31947050, 19187781, 62468280, 18214510, 51982886, 27514722,
-             52352086, 17142691, 19072639, 24043372}},
+              52352086, 17142691, 19072639, 24043372}},
             {{11685058, 11822410, 3158003, 19601838, 33402193, 29389366,
-             5977895, 28339415, 473098, 5040608}},
+              5977895, 28339415, 473098, 5040608}},
             {{46817982, 8198641, 39698732, 11602122, 1290375, 30754672,
-             28326861, 1721092, 47550222, 30422825}},
+              28326861, 1721092, 47550222, 30422825}},
         },
     },
     {
         {
             {{7881532, 10687937, 7578723, 7738378, 48157852, 31000479, 21820785,
-             8076149, 39240368, 11538388}},
+              8076149, 39240368, 11538388}},
             {{47173198, 3899860, 18283497, 26752864, 51380203, 22305220,
-             8754524, 7446702, 61432810, 5797015}},
+              8754524, 7446702, 61432810, 5797015}},
             {{55813245, 29760862, 51326753, 25589858, 12708868, 25098233,
-             2014098, 24503858, 64739691, 27677090}},
+              2014098, 24503858, 64739691, 27677090}},
         },
         {
             {{44636488, 21985690, 39426843, 1146374, 18956691, 16640559,
-             1192730, 29840233, 15123618, 10811505}},
-            {{14352079, 30134717, 48166819, 10822654, 32750596, 4699007, 67038501,
-             15776355, 38222085, 21579878}},
+              1192730, 29840233, 15123618, 10811505}},
+            {{14352079, 30134717, 48166819, 10822654, 32750596, 4699007,
+              67038501, 15776355, 38222085, 21579878}},
             {{38867681, 25481956, 62129901, 28239114, 29416930, 1847569,
-             46454691, 17069576, 4714546, 23953777}},
+              46454691, 17069576, 4714546, 23953777}},
         },
         {
             {{15200332, 8368572, 19679101, 15970074, 35236190, 1959450,
-             24611599, 29010600, 55362987, 12340219}},
+              24611599, 29010600, 55362987, 12340219}},
             {{12876937, 23074376, 33134380, 6590940, 60801088, 14872439,
-             9613953, 8241152, 15370987, 9608631}},
-            {{62965568, 21540023, 8446280, 33162829, 4407737, 13629032, 59383996,
-             15866073, 38898243, 24740332}},
+              9613953, 8241152, 15370987, 9608631}},
+            {{62965568, 21540023, 8446280, 33162829, 4407737, 13629032,
+              59383996, 15866073, 38898243, 24740332}},
         },
         {
             {{26660628, 17876777, 8393733, 358047, 59707573, 992987, 43204631,
-             858696, 20571223, 8420556}},
+              858696, 20571223, 8420556}},
             {{14620696, 13067227, 51661590, 8264466, 14106269, 15080814,
-             33531827, 12516406, 45534429, 21077682}},
+              33531827, 12516406, 45534429, 21077682}},
             {{236881, 10476226, 57258, 18877408, 6472997, 2466984, 17258519,
-             7256740, 8791136, 15069930}},
+              7256740, 8791136, 15069930}},
         },
         {
             {{1276391, 24182514, 22949634, 17231625, 43615824, 27852245,
-             14711874, 4874229, 36445724, 31223040}},
+              14711874, 4874229, 36445724, 31223040}},
             {{5855666, 4990204, 53397016, 7294283, 59304582, 1924646, 65685689,
-             25642053, 34039526, 9234252}},
+              25642053, 34039526, 9234252}},
             {{20590503, 24535444, 31529743, 26201766, 64402029, 10650547,
-             31559055, 21944845, 18979185, 13396066}},
+              31559055, 21944845, 18979185, 13396066}},
         },
         {
             {{24474287, 4968103, 22267082, 4407354, 24063882, 25229252,
-             48291976, 13594781, 33514650, 7021958}},
+              48291976, 13594781, 33514650, 7021958}},
             {{55541958, 26988926, 45743778, 15928891, 40950559, 4315420,
-             41160136, 29637754, 45628383, 12868081}},
+              41160136, 29637754, 45628383, 12868081}},
             {{38473832, 13504660, 19988037, 31421671, 21078224, 6443208,
-             45662757, 2244499, 54653067, 25465048}},
+              45662757, 2244499, 54653067, 25465048}},
         },
         {
             {{36513336, 13793478, 61256044, 319135, 41385692, 27290532,
-             33086545, 8957937, 51875216, 5540520}},
+              33086545, 8957937, 51875216, 5540520}},
             {{55478669, 22050529, 58989363, 25911358, 2620055, 1022908,
-             43398120, 31985447, 50980335, 18591624}},
+              43398120, 31985447, 50980335, 18591624}},
             {{23152952, 775386, 27395463, 14006635, 57407746, 4649511, 1689819,
-             892185, 55595587, 18348483}},
+              892185, 55595587, 18348483}},
         },
         {
             {{9770129, 9586738, 26496094, 4324120, 1556511, 30004408, 27453818,
-             4763127, 47929250, 5867133}},
+              4763127, 47929250, 5867133}},
             {{34343820, 1927589, 31726409, 28801137, 23962433, 17534932,
-             27846558, 5931263, 37359161, 17445976}},
+              27846558, 5931263, 37359161, 17445976}},
             {{27461885, 30576896, 22380809, 1815854, 44075111, 30522493,
-             7283489, 18406359, 47582163, 7734628}},
+              7283489, 18406359, 47582163, 7734628}},
         },
     },
     {
         {
             {{59098600, 23963614, 55988460, 6196037, 29344158, 20123547,
-             7585294, 30377806, 18549496, 15302069}},
+              7585294, 30377806, 18549496, 15302069}},
             {{34450527, 27383209, 59436070, 22502750, 6258877, 13504381,
-             10458790, 27135971, 58236621, 8424745}},
+              10458790, 27135971, 58236621, 8424745}},
             {{24687186, 8613276, 36441818, 30320886, 1863891, 31723888,
-             19206233, 7134917, 55824382, 32725512}},
+              19206233, 7134917, 55824382, 32725512}},
         },
         {
             {{11334899, 24336410, 8025292, 12707519, 17523892, 23078361,
-             10243737, 18868971, 62042829, 16498836}},
-            {{8911542, 6887158, 57524604, 26595841, 11145640, 24010752, 17303924,
-             19430194, 6536640, 10543906}},
+              10243737, 18868971, 62042829, 16498836}},
+            {{8911542, 6887158, 57524604, 26595841, 11145640, 24010752,
+              17303924, 19430194, 6536640, 10543906}},
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+            {{62992557, 22282898, 43222677, 4843614, 37020525, 690622, 35572776,
+              23147595, 8317859, 12352766}},
             {{18200138, 19078521, 34021104, 30857812, 43406342, 24451920,
-             43556767, 31266881, 20712162, 6719373}},
+              43556767, 31266881, 20712162, 6719373}},
         },
         {
             {{26656189, 6075253, 59250308, 1886071, 38764821, 4262325, 11117530,
-             29791222, 26224234, 30256974}},
+              29791222, 26224234, 30256974}},
             {{49939907, 18700334, 63713187, 17184554, 47154818, 14050419,
-             21728352, 9493610, 18620611, 17125804}},
+              21728352, 9493610, 18620611, 17125804}},
             {{53785524, 13325348, 11432106, 5964811, 18609221, 6062965,
-             61839393, 23828875, 36407290, 17074774}},
+              61839393, 23828875, 36407290, 17074774}},
         },
         {
             {{43248326, 22321272, 26961356, 1640861, 34695752, 16816491,
-             12248508, 28313793, 13735341, 1934062}},
+              12248508, 28313793, 13735341, 1934062}},
             {{25089769, 6742589, 17081145, 20148166, 21909292, 17486451,
-             51972569, 29789085, 45830866, 5473615}},
+              51972569, 29789085, 45830866, 5473615}},
             {{31883658, 25593331, 1083431, 21982029, 22828470, 13290673,
-             59983779, 12469655, 29111212, 28103418}},
+              59983779, 12469655, 29111212, 28103418}},
         },
         {
             {{24244947, 18504025, 40845887, 2791539, 52111265, 16666677,
-             24367466, 6388839, 56813277, 452382}},
+              24367466, 6388839, 56813277, 452382}},
             {{41468082, 30136590, 5217915, 16224624, 19987036, 29472163,
-             42872612, 27639183, 15766061, 8407814}},
+              42872612, 27639183, 15766061, 8407814}},
             {{46701865, 13990230, 15495425, 16395525, 5377168, 15166495,
-             58191841, 29165478, 59040954, 2276717}},
+              58191841, 29165478, 59040954, 2276717}},
         },
         {
             {{30157899, 12924066, 49396814, 9245752, 19895028, 3368142,
-             43281277, 5096218, 22740376, 26251015}},
+              43281277, 5096218, 22740376, 26251015}},
             {{2041139, 19298082, 7783686, 13876377, 41161879, 20201972,
-             24051123, 13742383, 51471265, 13295221}},
+              24051123, 13742383, 51471265, 13295221}},
             {{33338218, 25048699, 12532112, 7977527, 9106186, 31839181,
-             49388668, 28941459, 62657506, 18884987}},
+              49388668, 28941459, 62657506, 18884987}},
         },
         {
-            {{47063583, 5454096, 52762316, 6447145, 28862071, 1883651,
-             64639598, 29412551, 7770568, 9620597}},
+            {{47063583, 5454096, 52762316, 6447145, 28862071, 1883651, 64639598,
+              29412551, 7770568, 9620597}},
             {{23208049, 7979712, 33071466, 8149229, 1758231, 22719437, 30945527,
-             31860109, 33606523, 18786461}},
-            {{1439939, 17283952, 66028874, 32760649, 4625401, 10647766, 62065063,
-             1220117, 30494170, 22113633}},
+              31860109, 33606523, 18786461}},
+            {{1439939, 17283952, 66028874, 32760649, 4625401, 10647766,
+              62065063, 1220117, 30494170, 22113633}},
         },
         {
             {{62071265, 20526136, 64138304, 30492664, 15640973, 26852766,
-             40369837, 926049, 65424525, 20220784}},
+              40369837, 926049, 65424525, 20220784}},
             {{13908495, 30005160, 30919927, 27280607, 45587000, 7989038,
-             9021034, 9078865, 3353509, 4033511}},
+              9021034, 9078865, 3353509, 4033511}},
             {{37445433, 18440821, 32259990, 33209950, 24295848, 20642309,
-             23161162, 8839127, 27485041, 7356032}},
+              23161162, 8839127, 27485041, 7356032}},
         },
     },
     {
         {
             {{9661008, 705443, 11980065, 28184278, 65480320, 14661172, 60762722,
-             2625014, 28431036, 16782598}},
+              2625014, 28431036, 16782598}},
             {{43269631, 25243016, 41163352, 7480957, 49427195, 25200248,
-             44562891, 14150564, 15970762, 4099461}},
+              44562891, 14150564, 15970762, 4099461}},
             {{29262576, 16756590, 26350592, 24760869, 8529670, 22346382,
-             13617292, 23617289, 11465738, 8317062}},
+              13617292, 23617289, 11465738, 8317062}},
         },
         {
             {{41615764, 26591503, 32500199, 24135381, 44070139, 31252209,
-             14898636, 3848455, 20969334, 28396916}},
+              14898636, 3848455, 20969334, 28396916}},
             {{46724414, 19206718, 48772458, 13884721, 34069410, 2842113,
-             45498038, 29904543, 11177094, 14989547}},
+              45498038, 29904543, 11177094, 14989547}},
             {{42612143, 21838415, 16959895, 2278463, 12066309, 10137771,
-             13515641, 2581286, 38621356, 9930239}},
+              13515641, 2581286, 38621356, 9930239}},
         },
         {
             {{49357223, 31456605, 16544299, 20545132, 51194056, 18605350,
-             18345766, 20150679, 16291480, 28240394}},
+              18345766, 20150679, 16291480, 28240394}},
             {{33879670, 2553287, 32678213, 9875984, 8534129, 6889387, 57432090,
-             6957616, 4368891, 9788741}},
+              6957616, 4368891, 9788741}},
             {{16660737, 7281060, 56278106, 12911819, 20108584, 25452756,
-             45386327, 24941283, 16250551, 22443329}},
+              45386327, 24941283, 16250551, 22443329}},
         },
         {
             {{47343357, 2390525, 50557833, 14161979, 1905286, 6414907, 4689584,
-             10604807, 36918461, 4782746}},
+              10604807, 36918461, 4782746}},
             {{65754325, 14736940, 59741422, 20261545, 7710541, 19398842,
-             57127292, 4383044, 22546403, 437323}},
+              57127292, 4383044, 22546403, 437323}},
             {{31665558, 21373968, 50922033, 1491338, 48740239, 3294681,
-             27343084, 2786261, 36475274, 19457415}},
+              27343084, 2786261, 36475274, 19457415}},
         },
         {
             {{52641566, 32870716, 33734756, 7448551, 19294360, 14334329,
-             47418233, 2355318, 47824193, 27440058}},
+              47418233, 2355318, 47824193, 27440058}},
             {{15121312, 17758270, 6377019, 27523071, 56310752, 20596586,
-             18952176, 15496498, 37728731, 11754227}},
+              18952176, 15496498, 37728731, 11754227}},
             {{64471568, 20071356, 8488726, 19250536, 12728760, 31931939,
-             7141595, 11724556, 22761615, 23420291}},
+              7141595, 11724556, 22761615, 23420291}},
         },
         {
             {{16918416, 11729663, 49025285, 3022986, 36093132, 20214772,
-             38367678, 21327038, 32851221, 11717399}},
+              38367678, 21327038, 32851221, 11717399}},
             {{11166615, 7338049, 60386341, 4531519, 37640192, 26252376,
-             31474878, 3483633, 65915689, 29523600}},
+              31474878, 3483633, 65915689, 29523600}},
             {{66923210, 9921304, 31456609, 20017994, 55095045, 13348922,
-             33142652, 6546660, 47123585, 29606055}},
+              33142652, 6546660, 47123585, 29606055}},
         },
         {
             {{34648249, 11266711, 55911757, 25655328, 31703693, 3855903,
-             58571733, 20721383, 36336829, 18068118}},
+              58571733, 20721383, 36336829, 18068118}},
             {{49102387, 12709067, 3991746, 27075244, 45617340, 23004006,
-             35973516, 17504552, 10928916, 3011958}},
+              35973516, 17504552, 10928916, 3011958}},
             {{60151107, 17960094, 31696058, 334240, 29576716, 14796075,
-             36277808, 20749251, 18008030, 10258577}},
+              36277808, 20749251, 18008030, 10258577}},
         },
         {
             {{44660220, 15655568, 7018479, 29144429, 36794597, 32352840,
-             65255398, 1367119, 25127874, 6671743}},
+              65255398, 1367119, 25127874, 6671743}},
             {{29701166, 19180498, 56230743, 9279287, 67091296, 13127209,
-             21382910, 11042292, 25838796, 4642684}},
+              21382910, 11042292, 25838796, 4642684}},
             {{46678630, 14955536, 42982517, 8124618, 61739576, 27563961,
-             30468146, 19653792, 18423288, 4177476}},
+              30468146, 19653792, 18423288, 4177476}},
         },
     },
 };
 
 #endif  // OPENSSL_SMALL
 
+// Bi[i] = (2*i+1)*B
 static const ge_precomp Bi[8] = {
     {
         {{25967493, 19198397, 29566455, 3660896, 54414519, 4014786, 27544626,
-         21800161, 61029707, 2047604}},
+          21800161, 61029707, 2047604}},
         {{54563134, 934261, 64385954, 3049989, 66381436, 9406985, 12720692,
-         5043384, 19500929, 18085054}},
+          5043384, 19500929, 18085054}},
         {{58370664, 4489569, 9688441, 18769238, 10184608, 21191052, 29287918,
-         11864899, 42594502, 29115885}},
+          11864899, 42594502, 29115885}},
     },
     {
         {{15636272, 23865875, 24204772, 25642034, 616976, 16869170, 27787599,
-         18782243, 28944399, 32004408}},
+          18782243, 28944399, 32004408}},
         {{16568933, 4717097, 55552716, 32452109, 15682895, 21747389, 16354576,
-         21778470, 7689661, 11199574}},
+          21778470, 7689661, 11199574}},
         {{30464137, 27578307, 55329429, 17883566, 23220364, 15915852, 7512774,
-         10017326, 49359771, 23634074}},
+          10017326, 49359771, 23634074}},
     },
     {
         {{10861363, 11473154, 27284546, 1981175, 37044515, 12577860, 32867885,
-         14515107, 51670560, 10819379}},
+          14515107, 51670560, 10819379}},
         {{4708026, 6336745, 20377586, 9066809, 55836755, 6594695, 41455196,
-         12483687, 54440373, 5581305}},
+          12483687, 54440373, 5581305}},
         {{19563141, 16186464, 37722007, 4097518, 10237984, 29206317, 28542349,
-         13850243, 43430843, 17738489}},
+          13850243, 43430843, 17738489}},
     },
     {
         {{5153727, 9909285, 1723747, 30776558, 30523604, 5516873, 19480852,
-         5230134, 43156425, 18378665}},
+          5230134, 43156425, 18378665}},
         {{36839857, 30090922, 7665485, 10083793, 28475525, 1649722, 20654025,
-         16520125, 30598449, 7715701}},
+          16520125, 30598449, 7715701}},
         {{28881826, 14381568, 9657904, 3680757, 46927229, 7843315, 35708204,
-         1370707, 29794553, 32145132}},
+          1370707, 29794553, 32145132}},
     },
     {
         {{44589871, 26862249, 14201701, 24808930, 43598457, 8844725, 18474211,
-         32192982, 54046167, 13821876}},
+          32192982, 54046167, 13821876}},
         {{60653668, 25714560, 3374701, 28813570, 40010246, 22982724, 31655027,
-         26342105, 18853321, 19333481}},
+          26342105, 18853321, 19333481}},
         {{4566811, 20590564, 38133974, 21313742, 59506191, 30723862, 58594505,
-         23123294, 2207752, 30344648}},
+          23123294, 2207752, 30344648}},
     },
     {
         {{41954014, 29368610, 29681143, 7868801, 60254203, 24130566, 54671499,
-         32891431, 35997400, 17421995}},
+          32891431, 35997400, 17421995}},
         {{25576264, 30851218, 7349803, 21739588, 16472781, 9300885, 3844789,
-         15725684, 171356, 6466918}},
+          15725684, 171356, 6466918}},
         {{23103977, 13316479, 9739013, 17404951, 817874, 18515490, 8965338,
-         19466374, 36393951, 16193876}},
+          19466374, 36393951, 16193876}},
     },
     {
         {{33587053, 3180712, 64714734, 14003686, 50205390, 17283591, 17238397,
-         4729455, 49034351, 9256799}},
+          4729455, 49034351, 9256799}},
         {{41926547, 29380300, 32336397, 5036987, 45872047, 11360616, 22616405,
-         9761698, 47281666, 630304}},
+          9761698, 47281666, 630304}},
         {{53388152, 2639452, 42871404, 26147950, 9494426, 27780403, 60554312,
-         17593437, 64659607, 19263131}},
+          17593437, 64659607, 19263131}},
     },
     {
         {{63957664, 28508356, 9282713, 6866145, 35201802, 32691408, 48168288,
-         15033783, 25105118, 25659556}},
-        {{42782475, 15950225, 35307649, 18961608, 55446126, 28463506,
-         1573891, 30928545, 2198789, 17749813}},
+          15033783, 25105118, 25659556}},
+        {{42782475, 15950225, 35307649, 18961608, 55446126, 28463506, 1573891,
+          30928545, 2198789, 17749813}},
         {{64009494, 10324966, 64867251, 7453182, 61661885, 30818928, 53296841,
-         17317989, 34647629, 21263748}},
+          17317989, 34647629, 21263748}},
     },
 };
diff --git a/third_party/fiat/make_curve25519_tables.py b/third_party/fiat/make_curve25519_tables.py
new file mode 100755
index 0000000..3318dbf
--- /dev/null
+++ b/third_party/fiat/make_curve25519_tables.py
@@ -0,0 +1,209 @@
+#!/usr/bin/env python
+# coding=utf-8
+# The MIT License (MIT)
+#
+# Copyright (c) 2015-2016 the fiat-crypto authors (see the AUTHORS file).
+#
+# Permission is hereby granted, free of charge, to any person obtaining a copy
+# of this software and associated documentation files (the "Software"), to deal
+# in the Software without restriction, including without limitation the rights
+# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+# copies of the Software, and to permit persons to whom the Software is
+# furnished to do so, subject to the following conditions:
+#
+# The above copyright notice and this permission notice shall be included in all
+# copies or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+# SOFTWARE.
+
+import StringIO
+import subprocess
+
+# Base field Z_p
+p = 2**255 - 19
+
+def modp_inv(x):
+    return pow(x, p-2, p)
+
+# Compute corresponding x-coordinate, with low bit corresponding to
+# sign, or return None on failure
+def recover_x(y, sign):
+    if y >= p:
+        return None
+    x2 = (y*y-1) * modp_inv(d*y*y+1)
+    if x2 == 0:
+        if sign:
+            return None
+        else:
+            return 0
+
+    # Compute square root of x2
+    x = pow(x2, (p+3) // 8, p)
+    if (x*x - x2) % p != 0:
+        x = x * modp_sqrt_m1 % p
+    if (x*x - x2) % p != 0:
+        return None
+
+    if (x & 1) != sign:
+        x = p - x
+    return x
+
+# Curve constant
+d = -121665 * modp_inv(121666) % p
+
+# Base point
+g_y = 4 * modp_inv(5) % p
+g_x = recover_x(g_y, 0)
+
+# Points are represented as affine tuples (x, y).
+
+def point_add(P, Q):
+    x1, y1 = P
+    x2, y2 = Q
+    x3 = ((x1*y2 + y1*x2) * modp_inv(1 + d*x1*x2*y1*y2)) % p
+    y3 = ((y1*y2 + x1*x2) * modp_inv(1 - d*x1*x2*y1*y2)) % p
+    return (x3, y3)
+
+# Computes Q = s * P
+def point_mul(s, P):
+    Q = (0, 1)  # Neutral element
+    while s > 0:
+        if s & 1:
+            Q = point_add(Q, P)
+        P = point_add(P, P)
+        s >>= 1
+    return Q
+
+def to_bytes(x):
+    ret = bytearray(32)
+    for i in range(len(ret)):
+        ret[i] = x % 256
+        x >>= 8
+    assert x == 0
+    return ret
+
+def to_ge_precomp(P):
+    # typedef struct {
+    #   fe_loose yplusx;
+    #   fe_loose yminusx;
+    #   fe_loose xy2d;
+    # } ge_precomp;
+    x, y = P
+    return ((y + x) % p, (y - x) % p, (x * y * 2 * d) % p)
+
+def to_base_25_5(x):
+    limbs = (26, 25, 26, 25, 26, 25, 26, 25, 26, 25)
+    ret = []
+    for l in limbs:
+        ret.append(x & ((1<<l) - 1))
+        x >>= l
+    assert x == 0
+    return ret
+
+def main():
+    small_precomp = bytearray()
+    for i in range(1, 16):
+        s = (i&1) | ((i&2) << (64-1)) | ((i&4) << (128-2)) | ((i&8) << (192-3))
+        P = point_mul(s, (g_x, g_y))
+        small_precomp += to_bytes(P[0])
+        small_precomp += to_bytes(P[1])
+
+    large_precomp = []
+    for i in range(32):
+        large_precomp.append([])
+        for j in range(8):
+            P = point_mul((j + 1) << (i * 8), (g_x, g_y))
+            large_precomp[-1].append(to_ge_precomp(P))
+
+    bi_precomp = []
+    for i in range(8):
+        P = point_mul(2*i + 1, (g_x, g_y))
+        bi_precomp.append(to_ge_precomp(P))
+
+
+    buf = StringIO.StringIO()
+    buf.write("""// The MIT License (MIT)
+//
+// Copyright (c) 2015-2016 the fiat-crypto authors (see the AUTHORS file).
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in
+// all copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+
+// This file is generated from
+//    ./make_curve25519_tables.py > curve25519_tables.h
+
+
+#if defined(OPENSSL_SMALL)
+
+// This block of code replaces the standard base-point table with a much smaller
+// one. The standard table is 30,720 bytes while this one is just 960.
+//
+// This table contains 15 pairs of group elements, (x, y), where each field
+// element is serialised with |fe_tobytes|. If |i| is the index of the group
+// element then consider i+1 as a four-bit number: (i₀, i₁, i₂, i₃) (where i₀
+// is the most significant bit). The value of the group element is then:
+// (i₀×2^192 + i₁×2^128 + i₂×2^64 + i₃)G, where G is the generator.
+static const uint8_t k25519SmallPrecomp[15 * 2 * 32] = {""")
+    for i, b in enumerate(small_precomp):
+        buf.write("0x%02x, " % b)
+    buf.write("""
+};
+
+#else
+
+// k25519Precomp[i][j] = (j+1)*256^i*B
+static const ge_precomp k25519Precomp[32][8] = {
+""")
+    for child in large_precomp:
+        buf.write("{\n")
+        for val in child:
+            buf.write("{\n")
+            for term in val:
+                buf.write("{{")
+                buf.write(", ".join(map(str, to_base_25_5(term))))
+                buf.write("}},\n")
+            buf.write("},\n")
+        buf.write("},\n")
+    buf.write("""};
+
+#endif  // OPENSSL_SMALL
+
+// Bi[i] = (2*i+1)*B
+static const ge_precomp Bi[8] = {
+""")
+    for val in bi_precomp:
+        buf.write("{\n")
+        for term in val:
+            buf.write("{{")
+            buf.write(", ".join(map(str, to_base_25_5(term))))
+            buf.write("}},\n")
+        buf.write("},\n")
+    buf.write("""};
+""")
+
+    proc = subprocess.Popen(["clang-format"], stdin=subprocess.PIPE)
+    proc.communicate(buf.getvalue())
+
+if __name__ == "__main__":
+    main()