From dae93e6ae402c1cba8c742691d7abe8357ce200a Mon Sep 17 00:00:00 2001
From: Mark Vayngrib <mvayngrib@gmail.com>
Date: Fri, 6 Sep 2019 12:15:24 -0400
Subject: [PATCH] add script to compute precomputed curves,
 elliptic.usePrecomputed, tests

---
 lib/elliptic.js                     |    3 +
 lib/elliptic/curve/short.js         |    4 +-
 lib/elliptic/curves.js              |    9 +
 lib/elliptic/precomputed/p192.json  | 1228 +++++++++++++++++++++
 lib/elliptic/precomputed/p224.json  | 1260 ++++++++++++++++++++++
 lib/elliptic/precomputed/p256.json  | 1292 ++++++++++++++++++++++
 lib/elliptic/precomputed/p384.json  | 1420 ++++++++++++++++++++++++
 lib/elliptic/precomputed/p521.json  | 1556 +++++++++++++++++++++++++++
 lib/elliptic/use-precomputed.js     |   22 +
 package.json                        |    4 +-
 scripts/precompute.js               |   25 +
 test/api-test.js                    |    2 +
 test/curve-test.js                  |    2 +
 test/ecdh-test.js                   |    2 +
 test/ecdsa-test.js                  |    2 +
 test/ed25519-test.js                |    2 +
 test/index.js                       |    3 +
 test/init.js                        |    7 +
 test/toJSON-test.js                 |   28 +
 test/use-precomputed-test.js        |   66 ++
 test/utils.js                       |   24 +
 test/validate-preset-curves-test.js |   18 +
 22 files changed, 6976 insertions(+), 3 deletions(-)
 create mode 100644 lib/elliptic/precomputed/p192.json
 create mode 100644 lib/elliptic/precomputed/p224.json
 create mode 100644 lib/elliptic/precomputed/p256.json
 create mode 100644 lib/elliptic/precomputed/p384.json
 create mode 100644 lib/elliptic/precomputed/p521.json
 create mode 100644 lib/elliptic/use-precomputed.js
 create mode 100755 scripts/precompute.js
 create mode 100644 test/init.js
 create mode 100644 test/toJSON-test.js
 create mode 100644 test/use-precomputed-test.js
 create mode 100644 test/utils.js
 create mode 100644 test/validate-preset-curves-test.js

diff --git a/lib/elliptic.js b/lib/elliptic.js
index dfe2fe7..905aa9e 100644
--- a/lib/elliptic.js
+++ b/lib/elliptic.js
@@ -11,3 +11,6 @@ elliptic.curves = require('./elliptic/curves');
 // Protocols
 elliptic.ec = require('./elliptic/ec');
 elliptic.eddsa = require('./elliptic/eddsa');
+
+// Performance
+elliptic.usePrecomputed = require('./elliptic/use-precomputed');
diff --git a/lib/elliptic/curve/short.js b/lib/elliptic/curve/short.js
index b263ecf..734f87e 100644
--- a/lib/elliptic/curve/short.js
+++ b/lib/elliptic/curve/short.js
@@ -311,9 +311,9 @@ Point.prototype._getBeta = function _getBeta() {
 
 Point.prototype.toJSON = function toJSON() {
   if (!this.precomputed)
-    return [ this.x, this.y ];
+    return [ this.x.fromRed(), this.y.fromRed() ];
 
-  return [ this.x, this.y, this.precomputed && {
+  return [ this.x.fromRed(), this.y.fromRed(), this.precomputed && {
     doubles: this.precomputed.doubles && {
       step: this.precomputed.doubles.step,
       points: this.precomputed.doubles.points.slice(1)
diff --git a/lib/elliptic/curves.js b/lib/elliptic/curves.js
index 63d8655..0d6d5a7 100644
--- a/lib/elliptic/curves.js
+++ b/lib/elliptic/curves.js
@@ -19,9 +19,16 @@ function PresetCurve(options) {
   this.n = this.curve.n;
   this.hash = options.hash;
 
+  if (!options.skipValidation) {
+    this.validate();
+  }
+}
+
+PresetCurve.prototype.validate = function () {
   assert(this.g.validate(), 'Invalid curve');
   assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O');
 }
+
 curves.PresetCurve = PresetCurve;
 
 function defineCurve(name, options) {
@@ -29,6 +36,8 @@ function defineCurve(name, options) {
     configurable: true,
     enumerable: true,
     get: function() {
+      // ok to mutate, this getter is only used internally
+      options.skipValidation = true;
       var curve = new PresetCurve(options);
       Object.defineProperty(curves, name, {
         configurable: true,
diff --git a/lib/elliptic/precomputed/p192.json b/lib/elliptic/precomputed/p192.json
new file mode 100644
index 0000000..6d5b10f
--- /dev/null
+++ b/lib/elliptic/precomputed/p192.json
@@ -0,0 +1,1228 @@
+[
+  "188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012",
+  "7192b95ffc8da78631011ed6b24cdd573f977a11e794811",
+  {
+    "doubles": {
+      "step": 4,
+      "points": [
+        [
+          "b7310b4548fbfdbd29005092a5355bfcd99473733048afdf",
+          "ff9eae9edcd27c1e42d8585c4546d9491845c56629cf2290"
+        ],
+        [
+          "9ff5229d3b61edd21fa5302b22355286d812efff0dcb2eaa",
+          "a8a8b331e844b4d16e8bd096d13b7b8cffdfccfc026164f6"
+        ],
+        [
+          "ee355e9c6a392603fad7710de187c91af1c803e9ce1d0db6",
+          "4f71b1c6a0299f7b862f7135e93fbf85b1fa412321d2cfda"
+        ],
+        [
+          "7d23ed578c0b10cd2cba22f71fa93ae2a6ac7b9f131406ad",
+          "8b8311dcbca5df183e989364ec8bec0d262a3b0bf2525d64"
+        ],
+        [
+          "c7580802affee06347789236a3e36a89bf6cd8b820ac893b",
+          "1b14a0068c3173751bf320f4a122527aefaf2d9ec1857578"
+        ],
+        [
+          "9b95f940bd263b56b80ec5b18b038fdf60bd792ca732037",
+          "7d80d527355ed561fbc3c982043f87f319ec93700aec1acd"
+        ],
+        [
+          "f1998a3514cc1c3d65574a0c1a5368439683b9e044093861",
+          "c69a45f531b044b145a6b4e991337355ae654068d06c577a"
+        ],
+        [
+          "e9d5836399175374aa4e5b313c134d75deca499084ce428f",
+          "2f288d46327702c84a2eaee14cfbb12f875ae41fde99f1f0"
+        ],
+        [
+          "d9b3e2f526164abfe4146387a90bd1ba782134c349d986be",
+          "3e7ae645d5dd0d07f9b74f7d79639fe47be54fb9c8d1d414"
+        ],
+        [
+          "4191fb96f78a7f0796a582ba042cb2e2c7881e3b0d9979a9",
+          "ee884d47ccc4c67f94e8b959030ebd69f53068754beda193"
+        ],
+        [
+          "cf81def62a358eda1b716c5b74e7f4b6e5da35a0ba5d1b22",
+          "c720af12bdfb598dd97bf620f3b9cbd2bac71b3dba572d36"
+        ],
+        [
+          "67e30cbdcba671fbeb2cdfae5a927c35c39649c55d7c48d8",
+          "a93549c45810f5c3ce32d03c063015777a83cee1ecbfbe7d"
+        ],
+        [
+          "7fe01aa66fdd31bd0d024d62bab866b5cfaea451ca59bd50",
+          "6217317f42523cf4e4aeaa59caf3195e5ffbf3d8f51b2da1"
+        ],
+        [
+          "6e02e109fe3784c4e51a10db74101902fe75c0ea0e32b059",
+          "cb80564276d18a2987913c975a0b4169ad73921c9eb4b13b"
+        ],
+        [
+          "f994d7cb00673ad2dddf4fd3dba105b87ebbdebd4228c31b",
+          "212e05246800c662c4bae88044815a88336b43e282eff65"
+        ],
+        [
+          "5e542b93edb5d6e91e7a93b53ae1e678bae1bf020388e2d9",
+          "f9ebb891eeec6409346479926c2b0a126d3239f4bf1c2b2b"
+        ],
+        [
+          "73cadca6be975f8a92e85f81953a4c5b74930470a386a9c6",
+          "8d99bcac671b9879cef856c2320739d008240a9eec70948"
+        ],
+        [
+          "bd12ebd12ae54d508bee2c1d00914a56e9a045f1b2b87be3",
+          "ac2bd78d9e7d57b3ecc58fafe7ce8f40b283a79315349181"
+        ],
+        [
+          "e0e10bb5accc70766dcf6c829fc34c4032b8b3d1e27e65d0",
+          "de1f95461279845ac2df611da66edee3fd0ff0e6d10dcb2b"
+        ],
+        [
+          "f4110d1d500dcc19d5416d4bae78cfa169c05c3ac5e3f559",
+          "3aaaa4f1165acab1c75e9ca73f6038c433b45adce0710102"
+        ],
+        [
+          "893db51f93fa78a449b33356f34a3da65f99cb8dbd4ffff4",
+          "9931dd2476d6696d98e7f7a2f3f1f4c9243f09278ddc5c18"
+        ],
+        [
+          "372fe994ce95aeef30b40d03b9b4155f5ed4985cbe00f5ae",
+          "517c12ca0a9971ed04ff344378d5fb20e08a724d4ebd40a7"
+        ],
+        [
+          "53789c99fb457f7675706c6766098f5d254e2c931bec5470",
+          "4da9b7c8b9abf30832ee805b30319e38502b9382ae620385"
+        ],
+        [
+          "51a581d9184ac7374730d4f480d1090bb19963d8c0a1e340",
+          "5bd81ee2e0bb9f6e7cdfcea02f683f16ecc56731e69912a5"
+        ],
+        [
+          "eb139afa75e8a4ea587757c311d1deba5dab30706e1bb384",
+          "24026e2aaa65f542733b4c086348c2e91304f0b44a7e64bd"
+        ],
+        [
+          "85cb370ff441a8b9958325c10d703e65e1ce7aa37d5102e2",
+          "fc068662c86b03f5bb46e9e273c25219b495824f4b59b603"
+        ],
+        [
+          "195ff9410bd955f1d4f8ae6dd08aac4c51c34e5cad26617c",
+          "a4c9d1126e61dd41ef51700af087647d2dbef9ccfe0ec672"
+        ],
+        [
+          "f9e1f291ef8eaa48557d20bb43382fcfd5627e772fb8ff2a",
+          "ae91fcbd4adacf7cb26beee808e1e3310a9c62dc85ab986"
+        ],
+        [
+          "643e184504a9a6e9144989d399c99026f3e2eaacf057bbab",
+          "ed7df7a2f2de824129a0d0d26cb3bbc82b6c349e8ffbb15b"
+        ],
+        [
+          "4af48c159ceac819ebedd123e2035aee792fb6b77e09a7bf",
+          "b0d449d8752be821d0be4cdbb3fcec631b22e942a287bce4"
+        ],
+        [
+          "4258dc2e44ce3b9ad165b0cab858fe9005b2182323c6424b",
+          "49ebe894ef06f371c3752d96223ec75790bdb734ef38bea4"
+        ],
+        [
+          "f5e0f31b649bcbcae8a735bf62a2ed791d8601cf4b81c09c",
+          "aa9f937fd8fab05ff64549deafac9af1139908b52279a24"
+        ],
+        [
+          "f1e3d414faf379d71d72bbba35a44cc16100c532dac10960",
+          "6feda53e6eff3c49522e41e340041000ca8a6acbbfbc0308"
+        ],
+        [
+          "c4e5af0326d1d34e4c273ce380e90a17d8d659f4043b4a90",
+          "3e82f0fccd2d984683f184dd500a6acb41d298417b4295a9"
+        ],
+        [
+          "21c40e400affa5dd3f7f04472adf763fee4ed5d5decbec87",
+          "e69326449c6bf00dde0160bcc7c22324d5405c0b4b2691c9"
+        ],
+        [
+          "4bc1f71951f75131c245c02b904b596b6eb71930c5d8f50",
+          "150096e7fd69f8d08bec948a8c21962aa4d0916ebe34803d"
+        ],
+        [
+          "115095a0bb4b9f7ed259bca07fcd617dadbef439f8049d70",
+          "c63bfece7b94e4403dcd955dda2d243be809a84fc37ec132"
+        ],
+        [
+          "8f55220b94ab8df93c2072c072ac06d7143198509d36c05b",
+          "b3813b564a648f2719d3aa1bb93ca1099f2bafda6977ddc"
+        ],
+        [
+          "44a87d6e9fab3a58d572c7c2d4d87c2333294bfd8e6f7f7",
+          "e7183dee3fc6f29301d5af79fc02933ef163bd16ca6efaa2"
+        ],
+        [
+          "1cd4eca7c3bf805f575da7c2db4bc046ab8eac9f6470ab57",
+          "6b21afa068b3ebdb033af8cbab2d8df19473b64177b7090d"
+        ],
+        [
+          "6bf88b97ac45469f5f66e4079b56331e4c809f70b325c960",
+          "83d52c5dd6146193aa7f2ae9327c62243c1790aa5cb03cf8"
+        ],
+        [
+          "8eb0322c42165379f7a98167a1a0d1ce720566990dd81268",
+          "89f9b030eecccca60b7e8cc2b830d8d3b58f57dd7aa1c0a5"
+        ],
+        [
+          "920f9a3c0c56d3c63b20e5636541f6f415b007ffcbdf060c",
+          "cd7902f781f6b3b6cee00dda5192d915dd7b77d00d0028d3"
+        ],
+        [
+          "9a77925cfa9c78ee88ebc2164bc45596793d4469d5d13bb1",
+          "c450746d4d7a237d0dde6d5f21ce9fae073b6812236e3720"
+        ],
+        [
+          "eb7c10329b58df7b620ffeedb7bef219b17b83f2ddf64a97",
+          "fff6bcd5cce6e4b667dece593b5ed8620d8e8c4e2989f0b5"
+        ],
+        [
+          "d93af9b205f6511cda359fa02eacbd34ce01eb42966fa680",
+          "fffe73b0111a4548cd51acc840bfb04034e7a555bb419bf9"
+        ],
+        [
+          "33626d7d4a62a75f2b9caa3bb49c16313b76ac4bfc1d3a93",
+          "7d8796e39014319b66d49d6fd30238242b2f5693c20604cd"
+        ],
+        [
+          "d54f5b3a84da7f4e00fc800955d367765f2d207c0ca47347",
+          "8c4f78abe98eabe440888cf19be5406c4f409bf60664a6b1"
+        ],
+        [
+          "9698a372ae1da63228add63291b7deb54b005b2cb8b5396c",
+          "7e42f18bd6bc962304226e2901bfe6c4f9e4ac0fed9c9c55"
+        ]
+      ]
+    },
+    "naf": {
+      "wnd": 8,
+      "points": [
+        [
+          "76e32a2557599e6edcd283201fb2b9aadfd0d359cbb263da",
+          "782c37e372ba4520aa62e0fed121d49ef3b543660cfd05fd"
+        ],
+        [
+          "10bb8e9840049b183e078d9c300e1605590118ebdd7ff590",
+          "31361008476f917badc9f836e62762be312b72543cceaea1"
+        ],
+        [
+          "8da75a1f75ddcd7660f923243060edce5de37f007011fcfd",
+          "57cb5fcf6860b35418240db8fdb3c01dd4b702f96409ffb5"
+        ],
+        [
+          "818a4d308b1cabb74e9e8f2ba8d27c9e1d9d375ab980388f",
+          "1d1aa5e208d87cd7c292f7cbb457cdf30ea542176c8e739"
+        ],
+        [
+          "1c995995eb76324f1844f7164d22b652280940370628a2aa",
+          "ef1765ce37e9eb73029f556400fa77bdb34cb8611aaa9c04"
+        ],
+        [
+          "112af141d33efb9f2f68821e051e4ea004144a363c4a090a",
+          "6e0cbe3bfc5293f72a2c1726e081e09e7f10a094432b1c1e"
+        ],
+        [
+          "8c9595e63b56b633ba3546b2b5414de736de4a9e7578b1e7",
+          "266b762a934f00c17cf387993aa566b6ad7537cdd98fc7b1"
+        ],
+        [
+          "44275cd2e1f46dc3f9f57636c2b4213b8bb445930510ff8a",
+          "efad8348fde30c87de438612a818e98d9b76a67ad25ddfd0"
+        ],
+        [
+          "c0626bcf247de5d307fd839238d72688774fc97a1cf8ad1b",
+          "9cdc99d753973dc197e12778e829c804ec1a6b4e71faa20a"
+        ],
+        [
+          "e080b24c0b653a4867fe68873cf5e52c29209b3dbc50e857",
+          "d0fcb856066ef97fd38e0c482865eaa58f4e60097125604"
+        ],
+        [
+          "8f9d61c041cf588aed22d19c184faa9ee980559f4ba764ce",
+          "875de0ff4e0c92f1fad57ab09f23eada33e82a3ca2251d4"
+        ],
+        [
+          "a530c1366aa0723da40c6670be0f11fe9cfa98e355390164",
+          "3baa652f61ea88a6f46ac4077c9a8b37ca8b49e6c5e66e62"
+        ],
+        [
+          "1c0a558549162fe7c5d7274a730e9f58ce960bc9958d3288",
+          "618aeecd7c6d796f0fa9ba3312490cdbfa0f3488f2fcd59a"
+        ],
+        [
+          "c013b8cb3620f4482f9e82fde0ae9eeef53ccfa0f05b46f3",
+          "2d1b8f0891e05de2879b6240217afb4fc778cb2c717d0efb"
+        ],
+        [
+          "2b003cb1e24d4b79445e2e3c461cdc697a545aa0df5af1f8",
+          "ff5d8e6096e2a4877efae76a3ec5deaf9a71402ce619c94c"
+        ],
+        [
+          "b61807df1ac28a360119d94c3b7c65268af156b734fd70b5",
+          "aff247d5f77247ae71b75dd1ffc217e8a0cb9431d5065"
+        ],
+        [
+          "7bb95eb3558527455011a2add6ea5f2237a270fcc07e40fd",
+          "e8b45b9ad539e8be07e48ddfc6e4de271a949b7e45cad35c"
+        ],
+        [
+          "5d9825b0815a2849e8d4cf58dee7e8a73febd750a61b987b",
+          "952613c816d79784d4e8e1c72b7b2c0647276e6fd224dd86"
+        ],
+        [
+          "719c8c3cfad8dbbcfbd55d331ba48c43d8152ee5cfca5da3",
+          "31e7d38d789a3fa80bf49031700e747b8a030ff929dc0f77"
+        ],
+        [
+          "ac1c2c2558d32f48c2053372c39a677d18a1928d0e36cec3",
+          "b9e0a16423fd259acea6d1f1f246a297812f80f0f503a3b7"
+        ],
+        [
+          "82b3907c7d7cc1c34e5e0e360dc5c9a48e6a043a916b96c8",
+          "e86544425927712876550dd454ee03b27261e7a76c68ac61"
+        ],
+        [
+          "4361d8269faf5f772511d22e2ec18e2d7851a8606d86338b",
+          "32850fe48bc88bc5a069a9c02f4f98bc1065f49265144b39"
+        ],
+        [
+          "6369e3c69ceab52c9863bc9bb5eab6f5caba8b6fec6f2727",
+          "86f777c547da6af7cadd9da8f1a1a2bd281dadf6bba1a9bf"
+        ],
+        [
+          "7c9053a72b97b4c4e463c0ee8b7ddf51bc65135d01ca849d",
+          "95b131fe3994f5eb5e5dda40dd27e3cd0f7fd390ad85a61d"
+        ],
+        [
+          "fad2c55237b87ca5ca663695de10adc1c16df58de9c9d543",
+          "45ed10ba03ab272e897380e16a50fa814ec3272bcae2decc"
+        ],
+        [
+          "5add497e46457f0a0dbba543a40ae85c118962fdc16af318",
+          "fe53d43c9cbf08c953800d41a92b1d4c90939fac6fc1f7f9"
+        ],
+        [
+          "e72e282537e2a41dccd2737a934c7ca7f99caeab73298078",
+          "2c92a8497c982bd93269bd466a145630c8f405617f3820b9"
+        ],
+        [
+          "d234b4a06618dc76f314879b81cc7fb8fe3d4bbbdef8360a",
+          "d3416a93142c8af5b587c29b48333549f4c0364a0a4f3ffd"
+        ],
+        [
+          "9402a9163633a9c095b0a6e62379ac47e12b3b201261cf13",
+          "3dccaf410fbb5aabe2ca5ebd6133cb7396e2ecb575c12c5f"
+        ],
+        [
+          "7a3e92d5469c9b8ef94d78ff11de3b0ad0b975bbcdd5f5f4",
+          "aa43eefa54e5191a2b4f9a8a05eadd9d014324b4a766456"
+        ],
+        [
+          "809b3ae58fd7d26dfcd567077a6344604b7b39f0157c5a0f",
+          "d3e53442d43421fef99b2f64cf62fc22d36a4d0594299335"
+        ],
+        [
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+        ],
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+        ],
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+        ],
+        [
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+        ],
+        [
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+        ],
+        [
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+          "8d4aa0c7aaba0d14cc47f863fa254104b084fb69d962349a"
+        ]
+      ]
+    }
+  }
+]
\ No newline at end of file
diff --git a/lib/elliptic/precomputed/p224.json b/lib/elliptic/precomputed/p224.json
new file mode 100644
index 0000000..663f3db
--- /dev/null
+++ b/lib/elliptic/precomputed/p224.json
@@ -0,0 +1,1260 @@
+[
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+  "bd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34",
+  {
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+        ],
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+          "79e814819f496d8a2a89c4b71b6012bb72e92e271fe8bdee9b067f73"
+        ],
+        [
+          "db8651ec8ef6384098206c8c6de9f10286c01e5942a238fca0b04a0e",
+          "72cb30cacfdb5b51f51fdc70b405baf00712bbc392bf905a17a50dcd"
+        ],
+        [
+          "b9f6a8035acdb24bc571916cf9a7bf7db2365cfba84899be0ca9ce0d",
+          "22ebc15a90d6f69dc6d2d60b6a1bd85233b37c59359e7ff05f92f79d"
+        ],
+        [
+          "74ad654f82de70c4db0a21d3791fb572b1401184ce83dd78deca3ee8",
+          "79904af129f24bd5f749c17e2f3eff7067e4e21d3a65a45116a6d7dd"
+        ],
+        [
+          "52661cd44ecfb04ccbd9c9de283b28fa687223ad3618617adfad407f",
+          "7b015ad053f9072d31b63a7bc41923c39c8e66a59643926ec38f5baa"
+        ],
+        [
+          "990be08ae9cd4ab487c1843ef0661e3e4f55791ee28d35b04097cb6a",
+          "a46986605117d704c229cb6e8b5d403af95f0692cddb746c65e5198b"
+        ],
+        [
+          "2e25ce4bbe23cffc44a141b4898dbf8b7e2e4cf1aa419683389c11b",
+          "34bb85647d598646448b086af588886cf3ff4baf8b4647656b553069"
+        ],
+        [
+          "cad8666d3702e8cbcf4da42bf6b506ad5ae26e7240a42d38512ede0d",
+          "810e9f0100b0a1cef70eedfc0df2892133f627e71042c327f330ec22"
+        ],
+        [
+          "6d7744ec05b281f30993ea63c87efb9f21fdcaa9ae6d609ccce6092d",
+          "554ffc48e3fa7b9c8dd440a8f48940044e18d11a36da425d95133cb2"
+        ],
+        [
+          "838cacffe5383c52ba05a295224da04c4358572605895be7374d153c",
+          "efc5d27847b8347053492b47840ab4a59c2262eb65e75c443fc68bdc"
+        ],
+        [
+          "cc49c6084048e5965c8991a3cb24a4dfe9ec271778fbd898e7b4a9eb",
+          "6a69cd2f5dcc5c021cf47a7c37525933142b031aca7576987c3a6fc"
+        ],
+        [
+          "a662c09eb86e6c9a7e0ccb6b2586066518bf9ec7c42fe7aa965bf419",
+          "f24f0eacbe9a191471d89c360780838218200ccef826205b61a9ef8c"
+        ],
+        [
+          "9f2b4c01adefa2a247e3adb5235f430bc51215da57ce124998dbcbe9",
+          "a5ea63e08ca7fe5a6a7a15dd5c430e664c2f65d324e2f1c0a36c7e69"
+        ],
+        [
+          "1c12641e4ad6ea7fcc44e31ca1feefabebce653caa8f6fca38cd093c",
+          "30584e2b7ade0b2cbf3397ad692a839d56d8e006b319c17726f7c072"
+        ],
+        [
+          "954c9289d3847f8e136257213c6f20fb4c8dfd765d5a6a4d2898cf58",
+          "63878069fc02c8336b3391c9c2db5ba2591aa826c049a85df6e36cf4"
+        ],
+        [
+          "75738ccedd71d178e76b779dd0b39c89bd63cd13008c03535ac82f1d",
+          "78590496b1a420e750f35b67fa976743abd81d3c86dfc28b079d99c8"
+        ],
+        [
+          "c30303d1c7dffac19cdfdc48037d0c42b2fb4470cc18fd16c0408146",
+          "b31795f88511161868167132cb830994f3206039df6d93dd709bcd2d"
+        ],
+        [
+          "e98bd35b49af897d160e5a5bad45d2548fa3d1ea2beccc00f4e86f9b",
+          "c4e46c5e70ac46ea1c67826bc99553b5c3824cbc5fc059c6707dc057"
+        ],
+        [
+          "a0fc5f0cdd79a6a207ebb503e0a79560bc8725571d60595310171461",
+          "ddea97801df2e1a3a74dacdf170a38b2d5c91363ae176c4938286d58"
+        ],
+        [
+          "4fe4f6015f968a7b953dbf544fd4803657c6ff00d851e31b2e1408d4",
+          "6687163770cddc5a1b8e054b948893c5a681f68dabeeb90e3250d82b"
+        ],
+        [
+          "d47e13e7d1e89dd3d6e481ebcbd014fd477bc5abf3b1a2dc1f1f072b",
+          "ab2aa04a820eb452c434b55a849111f17356275e6b61b7bb50c68288"
+        ],
+        [
+          "1642989c5e88e2e19ff3083db53a52e46d5827ddf6de86057892d52",
+          "3454f48f3cdafb445af0ed7dd4bc3debc5580ee12a9df0366cae0291"
+        ],
+        [
+          "ee6b627c1dfcce7f959de6717a292b820547a24bd0efdc377d1eb30b",
+          "d02267eb068d781f73bac81b88f2afef011b827a8cae0c02fda3cfec"
+        ],
+        [
+          "87736539fcf477ebf30cfd8018f0cf304191449114f4492a30968ae9",
+          "110844a5e6381c2ff28af58852d43ec6b8ce040100dc4488400fe3de"
+        ],
+        [
+          "8feed92447395c81503ac333bc851c2dec24942f68d6c06e63a8fe29",
+          "8b10c4fc31401e2bc2c7bfe5eb2a3671ee657dc25bb3307a0de64101"
+        ],
+        [
+          "4d72033d489c44458cf57799e9a64b3497c4009755f03180b978550",
+          "da57eed03442edc171c06f4e7022fbaf7b1fe11678048bb8eb2dd65d"
+        ],
+        [
+          "3cff3bb3b9cad47935614008913899ebc928ec1128b05732b5179663",
+          "7e6978f161e3eb832793fcc24290ed2935ebce6b2d1021c2b5c6f05a"
+        ],
+        [
+          "bd3c8a55efec9812e50ace1aac915e05526c86a259453adaa7f49ed1",
+          "928101fdf63a6b2a8606758171a1457b98080b7b4499877bf88ced8b"
+        ],
+        [
+          "8d6e085c9ba050c22757eb6742ddfa2da0d896d5a4b8ef7e25622c0b",
+          "f4b4b84e4fd7b6c74aad1ceeaa74c6e01cc3305d4a738ad5aa833a51"
+        ],
+        [
+          "ca7724f9025c4cdcce327c5a113e3a4f42f943b6181eed4fde844ae",
+          "563bb1738ee3e1ec7d21a70a1b15bc17999f9c9d59a48562cd4fb151"
+        ],
+        [
+          "9ad15df059a96669d5477166a32b953c21a006c37f351998d416cd25",
+          "fb91606672042bed66bddb66538aa30834e8fe652d0abec01f3719fb"
+        ],
+        [
+          "7000583ea4a9776fffe7558ae2790d1f8693c90ec1d9e844dae1fc65",
+          "a4b55eabe1a0344351017bd2aa12e65b5b15c6097a8a317aedf77a91"
+        ],
+        [
+          "48708fdc2abb1fa28ac93c1f4131d91048c9629469afd25b82a5bbdc",
+          "64b3750523f8686a3b00fb6f67a7e5ca3cef8e4cac5cb07c2f471ae2"
+        ],
+        [
+          "ea06f1b8f28d93f81f267bb744c53b10bf459ee468824d37820247be",
+          "a6053afb8cd8bc8c6fc5321061bf2b67e99db92e05f4602599b746cd"
+        ],
+        [
+          "1963b892666eb9671e195254f43cd269f01d6c0abe6b17e3c8599742",
+          "9c551e64ebaffe9da58134c9024e6ff261bcdaf59ee22235c72011b0"
+        ],
+        [
+          "847326b674510c533fcbbb55e8c951eaae3a52a487e59d0cc3b9b3a7",
+          "f31a5ddb08c64bd49202c8c335b7587d5687223a9d387816d1e766ae"
+        ],
+        [
+          "679087c8127c6eedf478a2ec7849628808ed3d138171147190ff8f9b",
+          "9ee22a66a3daa2f7fec930fd6083a35213f3a2bd7e536e026ee7dcd2"
+        ],
+        [
+          "ce683727a5367e6e3719f2ad26f49599449376ddad731168caf462ce",
+          "281eae4c9d35101643b0c6f5cbcf3914ac13633b187bbc9de7c25df0"
+        ],
+        [
+          "9e40e1a2b83aac7f62b7e2b8df731d7027c1cceaa9188aa662a56e97",
+          "6b74caa3c52682e85a0073c5e72d434b766ce61f3f88ce6925baa508"
+        ],
+        [
+          "53f8d1f66c9a47f3207b3b19d806f62d5d0d9d17133395d2ad938a5b",
+          "7ebc7865d01073ffd949018591f35dd47308a8ada2e930a9757949a2"
+        ],
+        [
+          "bb1c6d6324ce8c7d3c90d921779ecd4a3a85bde61a84cf7b230a076d",
+          "99750665adbddbf771b8710bdfc27cc07b78e3e9e835d82a2e9a9b21"
+        ],
+        [
+          "deba30c49e8d8b7b92e3f38a1583acdcd66c0fb997618e0d674f1d5c",
+          "5954263781901e42deae37e39f08f43e79d876e0587db935e6f0e7b8"
+        ],
+        [
+          "a7053663f3137fef65339f9f80e5e3faab4b773e26d7dc1a817e0841",
+          "f7fec4ad6159098db72eda4c502e13ae13f2ef6e067b9350264ada8c"
+        ],
+        [
+          "a84b1cd8d5f0b20cdfb45150ea99eed8a475c377f9ef0903715e0e06",
+          "69677a592a6a2433ddb725add6c977cd17d41903743be7354d399e61"
+        ],
+        [
+          "7ae7c18bf7d1592d0e099b03d6a9e6348eeb828231609b4ff09fa26d",
+          "b5be8dafbe03c833cc8f1d37c285b61717532bddf1a2aaeec3153dd"
+        ],
+        [
+          "b1e8ba85c35b7be10543388f90e11101a5b7095ce36ac52326796d99",
+          "5b47e54a31d98eff98409d0223f8440b1e2cb93fe4eeca6bed1d151"
+        ],
+        [
+          "25cf2db6b9d88e4f054be3eb630c09f372631d3f91a6f8414f613ec2",
+          "888b5adacc71366aa693e2394ecf2ec2d2ba66f58c912b5df55cb109"
+        ],
+        [
+          "5ec596c3cc9d9ee3aac44a6df306649f16ba6ef567f951cbef3534a9",
+          "e7bbd7cb67358fd86d7b9155ad996cd52a7c4a62d1c8123d375ecfcb"
+        ],
+        [
+          "a03c2d063fcdec48e584652100ae129f6d2baaa0f3632c6edd5ed1ea",
+          "5849e0bbe1363a946931627d5c5a49098ecf77c4cb779435cc010f56"
+        ],
+        [
+          "25c5f92fdb89776467e92441978e905dd2dca555404a630cf5fc8fb",
+          "6c45d1a06dfca474e41e5511d7ddae0b07483e32e14ef6420b4e3f3b"
+        ],
+        [
+          "cb1e5231abc6c61426314b90792d35f402279d24e40a493befff5d16",
+          "121207fc9dda99d7ad8f75f304b20064a2fdc35cbdb2b9b3571d2978"
+        ],
+        [
+          "8dfaf22a808eedc64b53e5484985cee4bdafb9c4a15a917f4a04a25b",
+          "4db38a06a060ea0daa2263d912895dbadfe439d295e36e9dfdfea7b9"
+        ],
+        [
+          "203a9c25ab18c01b403c44ce9eb295f23345188553892bd048167aab",
+          "702fd0df91f0ede161d32196776628a72357532f59f41cb6dbbb8030"
+        ],
+        [
+          "ff31332c19d8fa388d263d086be3409a437fac937cc540748b69d3ed",
+          "858fc1ae7f5439675efbde0fd9bd2e1b150ecbdc64c3fa39907a6ccc"
+        ],
+        [
+          "a91c85287d50b427eef948ca4ebd6e2f647f698e35f3ee6a361de1ed",
+          "28e0160ba5bbc868e2049ab140c1e1a72b3908c3b57467c7bb8adcdb"
+        ],
+        [
+          "5d0145edae259943e1feb634b58e12f009e460746f8ca00b6a45c8ed",
+          "2445ed50bbbda583260e56b347cff31ebb0381cc0c316d15f227afb"
+        ]
+      ]
+    }
+  }
+]
\ No newline at end of file
diff --git a/lib/elliptic/precomputed/p256.json b/lib/elliptic/precomputed/p256.json
new file mode 100644
index 0000000..7abc13f
--- /dev/null
+++ b/lib/elliptic/precomputed/p256.json
@@ -0,0 +1,1292 @@
+[
+  "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296",
+  "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5",
+  {
+    "doubles": {
+      "step": 4,
+      "points": [
+        [
+          "76a94d138a6b41858b821c629836315fcd28392eff6ca038a5eb4787e1277c6e",
+          "a985fe61341f260e6cb0a1b5e11e87208599a0040fc78baa0e9ddd724b8c5110"
+        ],
+        [
+          "34a2d4a3b009165987ffd1528603ed61190d0b710d6a564c2db2e35f12d0441b",
+          "beaaed6a53a1e3c22bca71046e777fc0e7d766b9deddd81db424e7845e93b146"
+        ],
+        [
+          "e716aed2cf069e4d997789672e6d6bd2508676f2f4fd0a64f077e8daa245573f",
+          "353663e694fc72ab5912b06687b9a851d13d0df2fa07c9b3505fc26b469218d1"
+        ],
+        [
+          "a018366f4e91e90d8e5c643340e586b4714ab749c9052a0503e8465c6eade3c4",
+          "e2bbec1714110b167c6ce578349d8369d5f7284e44614f37f45c42026b26e8d0"
+        ],
+        [
+          "ec73885141fe54ffef6a0b570cd98d530e431c1aad5fcfe8f7dcecb7d96dff1",
+          "d6224f4e87ae875d91acc4ef580652511d5264ce87ed78aa9ec841ac7c7b552c"
+        ],
+        [
+          "f8f5dccf4c6a93d7a4a54daafaa3449aa87a8069875405d43725c5dce392d805",
+          "e58176cf66d63054389d3e336461327351f3da64a52143ba026619516cda02fa"
+        ],
+        [
+          "6d28b6bffd4daf313f85eaad8e4d71b91ca631161f99218f984a23176f922dbd",
+          "af39d905141dd2fa40fbe1a61ccb4a1c4c24e9f0b84da29944abff02a0ef3cff"
+        ],
+        [
+          "7fe36b40af22af8921656b32262c71da1ab919365c65dfb63a5a9e22185a5943",
+          "e697d45825b636249f09f40407dca6f174b3d5867b8af212d50d152c699ca101"
+        ],
+        [
+          "6965b6384d7061e685371fe7ff26519e76bba9dda2aea7817aff4fe1fdde3445",
+          "d1bcdae39c482511325e496638732dbef47ce6051a5f99d97cc4389e18855113"
+        ],
+        [
+          "fbc341c8c669d7632ca9f0d41bc43dc1efe47b273b95775258fca6c4d9aefbd",
+          "bd8022632f360e3fe4014b1d4957d3d3950b069e200a9ff1ed3b6ea9d3e71ca0"
+        ],
+        [
+          "6608c243773c85dcbc666b9ba97323b234a8bfe70a2e3338c6e3197aa3fe67b2",
+          "a1a916bec521c168846f640da746e03fc22b159f40c543081923fe5ce5b47a28"
+        ],
+        [
+          "d8de765227b7873763de93c34d8b561cf73a835fbb8e9c71c2ebaf8017e55104",
+          "2fd29465be13f2d15c4c628ad1dcf924c2f73fce1940db1b2a02ef80e52e08cd"
+        ],
+        [
+          "54ccc9415026d73f20a845b72a58e5b18bd27f198542a0beeea6bc92071e5c83",
+          "1c433f45b45145323a8f8715dad2bf22929e0bcc5d8ee496cfd08ef7140916a1"
+        ],
+        [
+          "c5440c597814a47d9f6cc7d1513d7f38e40cd02e32847f01c30fb77122d32936",
+          "d27ee9ba383e1fa72edc1e1d23ecf4acd8a6d28631e41e5d9a42fa3747cabfd4"
+        ],
+        [
+          "241c567a4227f1c506c79b97a6badca61c37101cb8971583bf9f4172b066fd48",
+          "40a62d93d4302d4b9363817c043203a48ea87138aea366057f7d2c6792857b08"
+        ],
+        [
+          "fa822bc2811aaa58492592e326e25de29493baaad651f7e90e75cb48e14db63",
+          "bff44ae8f5dba80d6f4ad4bcb3df188b34b1a65050fe82f5e41124545f462ee7"
+        ],
+        [
+          "54bc18d7a99899547ddc6988d7ee1b3f2b481ab443da43ff68f41305b76a6987",
+          "4b2c8c1211e6eaf37391b851ba73e2fd52eb8ed4bb73b119fe457cd05b9aae49"
+        ],
+        [
+          "1d35c9699761e3f285f248239267756f5194b85279f96b7c60aafad170aae231",
+          "c7226cb62df608231d660ab622ebf810edf58aa4729a66f15867063accd6ac71"
+        ],
+        [
+          "55d9a959844b5aef388ff0f7aa02f29acbf5ca9aa567e0e65572aea8750e4f5f",
+          "69cb7f9aa5dad203766d574fbcc8ec524c9810c633ad1b15c858eb76bca97db0"
+        ],
+        [
+          "6e29f959be28c47fae5abca185755c08346924376f5412c1d4d3d2de4351964c",
+          "34565d9f500f32f65052ec6cc184246def640c527a0bfb63118824bd563fd88f"
+        ],
+        [
+          "ff046a9eb2bfeed9c00f2ef0796f458ec141c259a845631128a7d4110cb71280",
+          "432f55acc0953a170a01eddbdd4cfcc9012b6e6ebd28487a7ec3271f5ec33919"
+        ],
+        [
+          "e486c7dffeabb058c1f9aa2349ee7eff8b2c7e63cf570cc5c7d0b24cc5852e50",
+          "51fd75ed5606a12e9ee88a5c9f51e05a694463d63392ebd866ba3cadaecf107d"
+        ],
+        [
+          "f41d7f4bb5e50430cfe08cf8b5e2ee0ab63b9998a43d1fc584b6b8ec2b519178",
+          "e6a669bebd9af8d6f1046de3faa82347ab49acc36919e1f9a7a1665dca6a3551"
+        ],
+        [
+          "4a5b506612a677a657880b3a18a2e902e9a521b074ca0141a84aa9397512218e",
+          "eb13461ceac089f1c42604fbe1627d40626db15419e26d9d0beada7a4c4f3840"
+        ],
+        [
+          "2eb3910bde2ab995012c29df8bbe0f5032c3b2574328e5f76628d837008e2df0",
+          "3f29c02337474b3a77d37d348da4999f9540d120ecf65f490910cc4ed274eaae"
+        ],
+        [
+          "7ef2ee3c5c792a0c0fef6335224d9428a7d2c98f6743333ec739a5ea3ecca7e0",
+          "afb6862730acc011a4f67f51d5e609db81b21450dfbd3d20302b22dd552ac094"
+        ],
+        [
+          "e51416421640aeb57802554eb5fa77aa9cb53529975e04a6701f090ec49e853",
+          "cf331cea65905469278eb4a53a91030df568394190c9ee36336e3d1376405cb2"
+        ],
+        [
+          "224a02299eecc99a0634a786f116445779c3bb5b5501d267f0699bf9e2f2b734",
+          "fa41a8d29b6d22b4149a08ad871d7fff07b704b673c7afd0840f585491ec7fdf"
+        ],
+        [
+          "4a89a61457374b4ccdb5d111b56493fe167d5ee4d1041ce2ea6065ad7789b84d",
+          "45b04e87ed480d5c08c2ea979fe677e6a72e280634711999ef9b7d7f018e3ea8"
+        ],
+        [
+          "e5e892363a31885cedc2f995f36d1f90ba82337d0b1fc80d3438c84a72bd05a0",
+          "77439de4da1b87d21301eb01e79b5c3eca73995b9cd099aec936de2be1a69f5d"
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+        ],
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+        ],
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+        ],
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+        ],
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+        ],
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+        ],
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+        ],
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+        ],
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+        ],
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+        ],
+        [
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+        ],
+        [
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+          "10a4dd3c7df6450dbc4f36c69d37f3c8b5e8a3a52f0174de53997a042d383336"
+        ],
+        [
+          "c216ac7b6833e40eab554531a1accacecce2d0963ce1f23545ba19439cd86cdf",
+          "1430f8df8688204043ed242e7c9149cb3d9c4e85a02991e57a60463d73949714"
+        ],
+        [
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+        ],
+        [
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+          "b7d32348d903c95bd803794c678c0628a81dc41adfb59be979874276abd98d78"
+        ],
+        [
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+          "b8fba8d4b83c692caf2c6fa85bf4bfd97f6908b36dbdffb948d23f4ef5bb263e"
+        ],
+        [
+          "244881fe7f4f8db056edbcd73c8363134e1dc223fbdee196eb9e5a9a49930ef6",
+          "80a16d9c5d093255b3ddec9a7821b15dd85d30fb1b8f987167e22b0bbf2a5de9"
+        ],
+        [
+          "969dc4d3d35ba6f1c980f2ad8bc7c9b3f107332d82e35b33a23194f8ccc0b5de",
+          "eae8da34a07031d340517c973fc3b4c16bacab58284fd9a523a033364c909408"
+        ],
+        [
+          "ddafcb1ade01a9d9a5e4d1aa0534dbc0767910d70885ea1176434effd90c5d1b",
+          "456da40e7cee7dab2f9a35a44ec6060584a3ca98c6470c2f4a92b9f0d2de9a24"
+        ],
+        [
+          "b04f042ed5e126ac7bd7eb61a87d83c9e0b3b8459dd18fae35f7e57de7f4904a",
+          "9a3126ae085c7134def4200a707d74ca59c7f858cc20d1c0a19acb6d6fc77cdb"
+        ]
+      ]
+    }
+  }
+]
\ No newline at end of file
diff --git a/lib/elliptic/precomputed/p384.json b/lib/elliptic/precomputed/p384.json
new file mode 100644
index 0000000..9ccc29b
--- /dev/null
+++ b/lib/elliptic/precomputed/p384.json
@@ -0,0 +1,1420 @@
+[
+  "aa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7",
+  "3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f",
+  {
+    "doubles": {
+      "step": 4,
+      "points": [
+        [
+          "d5d89c3b5282369c5fbd88e2b231511a6b80dff0e5152cf6a464fa9428a8583bac8ebc773d157811a462b892401dafcf",
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+        ],
+        [
+          "21a4f5d369269255deda6f0636c5018ab3f2467a351bc35ea2193f92a7dffdedb8e0f03cead4d0dcbd5ea78776ead2e4",
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+        ],
+        [
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+        ],
+        [
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+        ],
+        [
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+        ],
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+        ],
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+        ],
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+        ],
+        [
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+        ],
+        [
+          "eb168a03ad93e77956677e74294743ea952f2bb443876d16c6f3cea4c332fc9b0e08486468974c6e3cd9539f0a0b5501",
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+        ],
+        [
+          "14906269d4c2cb443df6585635953913424560eaf7250bc749ce7fb051a8b60d3b07ea2417f672fc64b719bd9108f00f",
+          "4b95c5b2f843dfaf9bf84d6deec8865657122bdd4a87de5bdb08350c5dadb8068563256abda4d504c654e772e1b3c9ce"
+        ]
+      ]
+    }
+  }
+]
\ No newline at end of file
diff --git a/lib/elliptic/precomputed/p521.json b/lib/elliptic/precomputed/p521.json
new file mode 100644
index 0000000..e8738dd
--- /dev/null
+++ b/lib/elliptic/precomputed/p521.json
@@ -0,0 +1,1556 @@
+[
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+  "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650",
+  {
+    "doubles": {
+      "step": 4,
+      "points": [
+        [
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+        ],
+        [
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+        ],
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+          "4562170c64317fcd2153aef39ff3daa0a0c0f2984539b752d582486ea7017202f391856f0b47d7d48e896e303ed7e75c86fa04ec3d936985523e5181f428f0fca"
+        ],
+        [
+          "5c76dac74eb02d8f4560412d46c1d5482039796c62a509538324a52c672b3e95a86fa76955ad5e95a890fe5d4d988e92e53de9a64c81ca29db0924606f9348973c",
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+        ]
+      ]
+    }
+  }
+]
\ No newline at end of file
diff --git a/lib/elliptic/use-precomputed.js b/lib/elliptic/use-precomputed.js
new file mode 100644
index 0000000..fe9d9c1
--- /dev/null
+++ b/lib/elliptic/use-precomputed.js
@@ -0,0 +1,22 @@
+var curves = require('./curves');
+
+function usePrecomputed(precomputed) {
+  // validate input
+  var names = Object.keys(precomputed);
+  var invalid = names.filter(function(name) {
+    return !curves[name];
+  });
+
+  if (invalid.length) {
+    throw new Error('invalid curves: ' + invalid.join(','));
+  }
+
+  // monkeypatch
+  names.forEach(function(name) {
+    if (!curves[name].g.precomputed) {
+      curves[name].g = curves[name].curve.pointFromJSON(precomputed[name]);
+    }
+  });
+}
+
+module.exports = usePrecomputed;
diff --git a/package.json b/package.json
index 07774c1..94dc07c 100644
--- a/package.json
+++ b/package.json
@@ -10,7 +10,9 @@
     "jscs": "jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js",
     "jshint": "jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js",
     "lint": "npm run jscs && npm run jshint",
-    "unit": "istanbul test _mocha --reporter=spec test/index.js",
+    "unit": "npm run unit:base && npm run unit:precomputed",
+    "unit:base": "istanbul test _mocha --reporter=spec test/index.js",
+    "unit:precomputed": "USE_PRECOMPUTED=y istanbul test _mocha --reporter=spec test/index.js",
     "test": "npm run lint && npm run unit",
     "version": "grunt dist && git add dist/"
   },
diff --git a/scripts/precompute.js b/scripts/precompute.js
new file mode 100755
index 0000000..abf8b4f
--- /dev/null
+++ b/scripts/precompute.js
@@ -0,0 +1,25 @@
+#!/usr/bin/env node
+
+const fs = require('fs')
+const path = require('path')
+const elliptic = require('..')
+const outputDir = path.join(__dirname, '..', 'lib/elliptic/precomputed')
+
+const prettify = (obj) => JSON.stringify(obj, null, 2)
+
+const getCurvePath = (name) => path.join(outputDir, `${name}.json`)
+
+const names = {
+  ec: ['p192', 'p224', 'p256', 'p384', 'p521'],
+  // eddsa: ['ed25519'], // precomputed not exportable/importable at the moment
+}
+
+const ec = names.ec.map((name) => ({ name, curve: elliptic.ec(name) }))
+// const eddsa = names.eddsa.map((name) => ({ name, curve: elliptic.eddsa(name) }))
+
+const curves = ec
+
+curves.forEach(({ name, curve }) => {
+  const precomputed = curve.g.toJSON()
+  fs.writeFileSync(getCurvePath(name), prettify(precomputed))
+})
diff --git a/test/api-test.js b/test/api-test.js
index 68bd19f..2a5c609 100644
--- a/test/api-test.js
+++ b/test/api-test.js
@@ -1,3 +1,5 @@
+require('./init');
+
 var assert = require('assert');
 var elliptic = require('../');
 
diff --git a/test/curve-test.js b/test/curve-test.js
index fcfa84e..bf7798b 100644
--- a/test/curve-test.js
+++ b/test/curve-test.js
@@ -1,5 +1,7 @@
 'use strict';
 
+require('./init');
+
 var assert = require('assert');
 var BN = require('bn.js');
 var elliptic = require('../');
diff --git a/test/ecdh-test.js b/test/ecdh-test.js
index 9f8f6f0..8aa7650 100644
--- a/test/ecdh-test.js
+++ b/test/ecdh-test.js
@@ -1,3 +1,5 @@
+require('./init');
+
 var assert = require('assert');
 var elliptic = require('../');
 var hash = require('hash.js');
diff --git a/test/ecdsa-test.js b/test/ecdsa-test.js
index 831ac19..97f6d51 100644
--- a/test/ecdsa-test.js
+++ b/test/ecdsa-test.js
@@ -1,3 +1,5 @@
+require('./init');
+
 var assert = require('assert');
 var elliptic = require('../');
 var Signature = require('../lib/elliptic/ec/signature')
diff --git a/test/ed25519-test.js b/test/ed25519-test.js
index c88ec7c..15665cc 100644
--- a/test/ed25519-test.js
+++ b/test/ed25519-test.js
@@ -1,5 +1,7 @@
 'use strict';
 
+require('./init');
+
 var assert = require('assert');
 var elliptic = require('../');
 var utils = elliptic.utils;
diff --git a/test/index.js b/test/index.js
index 34fa06d..60d65ec 100644
--- a/test/index.js
+++ b/test/index.js
@@ -4,4 +4,7 @@ describe('Test specs', function () {
   require('./ecdh-test.js');
   require('./ecdsa-test.js');
   require('./ed25519-test.js');
+  require('./use-precomputed-test.js');
+  require('./validate-preset-curves-test.js');
+  require('./toJSON-test.js');
 });
diff --git a/test/init.js b/test/init.js
new file mode 100644
index 0000000..9381400
--- /dev/null
+++ b/test/init.js
@@ -0,0 +1,7 @@
+var utils = require('./utils')
+
+utils.resetCache()
+
+if (process.env.USE_PRECOMPUTED === 'y') {
+  utils.usePrecomputed()
+}
diff --git a/test/toJSON-test.js b/test/toJSON-test.js
new file mode 100644
index 0000000..e400876
--- /dev/null
+++ b/test/toJSON-test.js
@@ -0,0 +1,28 @@
+'use strict';
+
+var fs = require('fs');
+var path = require('path');
+var assert = require('assert');
+var elliptic = require('../lib/elliptic');
+var curves = elliptic.curves;
+var compare = assert.deepStrictEqual || assert.deepEqual;
+
+function exportPoint (p) {
+  return JSON.parse(JSON.stringify(p.toJSON()));
+}
+
+describe('toJSON <-> pointFromJSON symmetry', function() {
+  it('toJSON matches pointFromJSON', function () {
+    for (var key in curves) {
+      if (key === 'PresetCurve') continue;
+
+      var curve = curves[key];
+      if (!curve.g.toJSON) continue;
+
+      var exported = exportPoint(curve.g);
+      var reimported = curve.curve.pointFromJSON(exported);
+      var reexported = exportPoint(reimported);
+      compare(exported, reexported, 'toJSON is the inverse of pointFromJSON');
+    }
+  });
+})
diff --git a/test/use-precomputed-test.js b/test/use-precomputed-test.js
new file mode 100644
index 0000000..667ffae
--- /dev/null
+++ b/test/use-precomputed-test.js
@@ -0,0 +1,66 @@
+'use strict';
+
+var fs = require('fs');
+var path = require('path');
+var assert = require('assert');
+var BN = require('bn.js');
+var utils = require('./utils');
+
+describe('usePrecomputed', function() {
+  var elliptic;
+  var curve;
+
+  function reset() {
+    utils.resetCache();
+    elliptic = require('../');
+    curve = elliptic.curves.p256;
+  }
+
+  beforeEach(reset);
+
+  it('should set g.precomputed on regular curve init', function() {
+    assert(curve.g.precomputed == null, 'g.precomputed starts out null');
+
+    elliptic.ec('p256');
+
+    assert(curve.g.precomputed != null, 'curve init sets g.precomputed');
+  });
+
+  it('should set g.precomputed via usePrecomputed', function() {
+    assert(curve.g.precomputed == null, 'g.precomputed stars out null');
+
+    elliptic.usePrecomputed({
+      p256: require('../lib/elliptic/precomputed/p256')
+    });
+
+    assert(curve.g.precomputed != null, 'usePrecomputed sets g.precomputed');
+  });
+
+  it('precomputed curves have been calculated correctly', function() {
+    this.timeout(5000);
+
+    var dir = path.join(__dirname, '..', 'lib/elliptic/precomputed')
+
+    function exportPoint(p) {
+      return JSON.parse(JSON.stringify(p.toJSON()));
+    }
+
+    fs.readdirSync(dir)
+      .filter(function (file) {
+        return path.extname(file) === '.json'
+      })
+      .forEach(function (file) {
+        var name = path.parse(file).name;
+        console.log('comparing', name)
+        var precomputed = require(path.join(dir, file));
+        var curve = elliptic.ec(name);
+        var computed = exportPoint(curve.g);
+        var compare = assert.deepStrictEqual || assert.deepEqual;
+        compare(
+          computed,
+          precomputed,
+          name + ' curve matches precomputed'
+        );
+      });
+  });
+});
diff --git a/test/utils.js b/test/utils.js
new file mode 100644
index 0000000..16f6b42
--- /dev/null
+++ b/test/utils.js
@@ -0,0 +1,24 @@
+
+module.exports = {
+  resetCache: resetCache,
+  usePrecomputed: usePrecomputed
+}
+
+function resetCache() {
+  var cache = require.cache;
+  for (var moduleId in cache) {
+    delete cache[moduleId];
+  }
+}
+
+function usePrecomputed() {
+  console.log('USING PRECOMPUTED CURVES')
+  const elliptic = require('..');
+  elliptic.usePrecomputed({
+    p192: require('../lib/elliptic/precomputed/p192'),
+    p224: require('../lib/elliptic/precomputed/p224'),
+    p256: require('../lib/elliptic/precomputed/p256'),
+    p384: require('../lib/elliptic/precomputed/p384'),
+    p521: require('../lib/elliptic/precomputed/p521')
+  });
+}
diff --git a/test/validate-preset-curves-test.js b/test/validate-preset-curves-test.js
new file mode 100644
index 0000000..a7e322d
--- /dev/null
+++ b/test/validate-preset-curves-test.js
@@ -0,0 +1,18 @@
+
+var fs = require('fs');
+var path = require('path');
+var assert = require('assert');
+var elliptic = require('..');
+
+describe('validate preset curves', function() {
+  it('validates preset curves', function () {
+    var curves = elliptic.curves;
+
+    for (var key in curves) {
+      if (key !== 'PresetCurve') {
+        console.log(`validating preset curve ${key}`)
+        curves[key].validate();
+      }
+    }
+  });
+});