commit 81665efaae5ea5965f0ab42b500fb3fa3c253452
Author: Jordi Baylina <jordi@baylina.cat>
Date:   Sun Oct 21 19:51:38 2018 +0200

    first commit

diff --git a/.eslintrc.js b/.eslintrc.js
new file mode 100644
index 0000000..2f45ad9
--- /dev/null
+++ b/.eslintrc.js
@@ -0,0 +1,33 @@
+module.exports = {
+    "plugins": [
+        "mocha"
+    ],
+    "env": {
+        "es6": true,
+        "node": true,
+        "mocha": true
+    },
+    "parserOptions": {
+        "ecmaVersion": 2017
+    },
+    "extends": "eslint:recommended",
+    "rules": {
+        "indent": [
+            "error",
+            4
+        ],
+        "linebreak-style": [
+            "error",
+            "unix"
+        ],
+        "quotes": [
+            "error",
+            "double"
+        ],
+        "semi": [
+            "error",
+            "always"
+        ],
+        "mocha/no-exclusive-tests": "error"
+    }
+};
diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..50d8b98
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,65 @@
+# Logs
+logs
+*.log
+npm-debug.log*
+yarn-debug.log*
+yarn-error.log*
+
+# Runtime data
+pids
+*.pid
+*.seed
+*.pid.lock
+
+# Directory for instrumented libs generated by jscoverage/JSCover
+lib-cov
+
+# Coverage directory used by tools like istanbul
+coverage
+
+# nyc test coverage
+.nyc_output
+
+# Grunt intermediate storage (http://gruntjs.com/creating-plugins#storing-task-files)
+.grunt
+
+# Bower dependency directory (https://bower.io/)
+bower_components
+
+# node-waf configuration
+.lock-wscript
+
+# Compiled binary addons (https://nodejs.org/api/addons.html)
+build/Release
+
+# Dependency directories
+node_modules/
+jspm_packages/
+
+# Typescript v1 declaration files
+typings/
+
+# Optional npm cache directory
+.npm
+
+# Optional eslint cache
+.eslintcache
+
+# Optional REPL history
+.node_repl_history
+
+# Output of 'npm pack'
+*.tgz
+
+# Yarn Integrity file
+.yarn-integrity
+
+# dotenv environment variables file
+.env
+
+# next.js build output
+.next
+
+tmp
+
+.DS_Store
\ No newline at end of file
diff --git a/README.md b/README.md
new file mode 100644
index 0000000..95b6c7e
--- /dev/null
+++ b/README.md
@@ -0,0 +1,2 @@
+# cirpedersen
+
diff --git a/circuit/babyjub.circom b/circuit/babyjub.circom
new file mode 100644
index 0000000..6d7f9db
--- /dev/null
+++ b/circuit/babyjub.circom
@@ -0,0 +1,31 @@
+
+
+template BabyAdd() {
+    signal input x1;
+    signal input y1;
+    signal input x2;
+    signal input y2;
+    signal output xout;
+    signal output yout;
+
+    signal beta;
+    signal gamma;
+    signal delta;
+    signal epsilon;
+    signal tau;
+
+    var a = 168700;
+    var d = 168696;
+
+    beta <== x1*y2;
+    gamma <== y1*x2;
+    delta <== y1*y2;
+    epsilon <== x1*x2;
+    tau <== delta * epsilon;
+
+    xout <-- (beta + gamma) / (1+ d*tau);
+    (1+ d*tau) * xout === (beta + gamma);
+
+    yout <-- (delta - a * epsilon) / (1-d*tau);
+    (1-d*tau)*yout === (delta - a * epsilon);
+}
diff --git a/circuit/exp.circom b/circuit/exp.circom
new file mode 100644
index 0000000..bfcbd4c
--- /dev/null
+++ b/circuit/exp.circom
@@ -0,0 +1,145 @@
+/*
+
+                                                        ┏━━━━━━━━━━━┓
+                                                        ┃           ┃
+                                                        ┃           ┃
+  (inx, iny) ══════════════════════════════════════════▶┃ EC Point  ┃
+                                                        ┃           ╠═▶ (outx, outy)
+                                                    ╔══▶┃   Adder   ┃
+                                                    ║   ┃           ┃
+                                                    ║   ┃           ┃
+                                                    ║   ┃           ┃
+       ┏━━━━━━━━━━━┓                ┏━━━━━━━━━━━━┓  ║   ┗━━━━━━━━━━━┛
+       ┃           ┃                ┃            ┃  ║
+       ┃           ┃                ┃            ┃  ║
+       ┃           ╠═══(p0x,p0y)═══▶┃            ┃  ║
+       ┃           ╠═══(p1x,p1y)═══▶┃            ┃  ║
+       ┃           ╠═══(p2x,p2y)═══▶┃            ┃  ║
+       ┃           ╠═══(p3x,p3y)═══▶┃            ┃  ║
+       ┃           ╠═══(p4x,p4y)═══▶┃            ┃  ║
+       ┃           ╠═══(p5x,p5y)═══▶┃            ┃  ║
+       ┃           ╠═══(p6x,p6y)═══▶┃            ┃  ║
+       ┃ Constant  ╠═══(p7x,p7y)═══▶┃            ┃  ║
+       ┃  Points   ┃                ┃    Mux4    ╠══╝
+       ┃           ╠═══(p8x,p8y)═══▶┃            ┃
+       ┃           ╠═══(p9x,p9y)═══▶┃            ┃
+       ┃           ╠══(p10x,p10y)══▶┃            ┃
+       ┃           ╠══(p11x,p11y)══▶┃            ┃
+       ┃           ╠══(p12x,p12y)══▶┃            ┃
+       ┃           ╠══(p13x,p13y)══▶┃            ┃
+       ┃           ╠══(p14x,p14y)══▶┃            ┃
+       ┃           ╠══(p15x,p15y)══▶┃            ┃
+       ┃           ┃                ┃            ┃
+       ┃           ┃                ┃            ┃
+       ┗━━━━━━━━━━━┛                ┗━━━━━━━━━━━━┛
+                                      ▲  ▲  ▲  ▲
+                                      │  │  │  │
+  s0 ─────────────────────────────────┘  │  │  │
+  s1 ────────────────────────────────────┘  │  │
+  s2 ───────────────────────────────────────┘  │
+  s3 ──────────────────────────────────────────┘
+
+
+ */
+
+include "mux4.circom";
+include "expw4table.circom";
+include "babyjub.circom";
+
+template ExpWindow(k) {
+
+    signal input in[2];
+    signal input sel[4];
+    signal output out[2];
+
+    component table;
+    component mux;
+    component adder;
+
+    var i;
+
+    table = ExpW4Table(k);
+    mux = MultiMux4(2);
+    adder = BabyAdd();
+
+    for (i=0; i<4; i++) {
+        sel[i] ==> mux.s[i];
+    }
+
+    for (i=0; i<16; i++) {
+        table.out[i][0] ==> mux.c[0][i];
+        table.out[i][1] ==> mux.c[1][i];
+    }
+
+    in[0] ==> adder.x1;
+    in[1] ==> adder.y1;
+
+    mux.out[0] ==> adder.x2;
+    mux.out[1] ==> adder.y2;
+
+    adder.xout ==> out[0];
+    adder.yout ==> out[1];
+}
+
+/*
+
+
+                ┏━━━━━━━━━┓      ┏━━━━━━━━━┓                            ┏━━━━━━━━━━━━━━━━━━━┓
+                ┃         ┃      ┃         ┃                            ┃                   ┃
+     (0,1) ════▶┃Window(0)┃═════▶┃Window(1)┃════════  . . . . ═════════▶┃ Window(nBlocks-1) ┃═════▶ out
+                ┃         ┃      ┃         ┃                            ┃                   ┃
+                ┗━━━━━━━━━┛      ┗━━━━━━━━━┛                            ┗━━━━━━━━━━━━━━━━━━━┛
+                  ▲ ▲ ▲ ▲          ▲ ▲ ▲ ▲                                    ▲ ▲ ▲ ▲
+    in[0]─────────┘ │ │ │          │ │ │ │                                    │ │ │ │
+    in[1]───────────┘ │ │          │ │ │ │                                    │ │ │ │
+    in[2]─────────────┘ │          │ │ │ │                                    │ │ 0 0
+    in[3]───────────────┘          │ │ │ │                                    │ │
+    in[4]──────────────────────────┘ │ │ │                                    │ │
+    in[5]────────────────────────────┘ │ │                                    │ │
+    in[6]──────────────────────────────┘ │                                    │ │
+    in[7]────────────────────────────────┘                                    │ │
+        .                                                                     │ │
+        .                                                                     │ │
+  in[n-2]─────────────────────────────────────────────────────────────────────┘ │
+  in[n-1]───────────────────────────────────────────────────────────────────────┘
+
+ */
+
+template Exp(n) {
+    signal input in[n];
+    signal output out[2];
+
+    var nBlocks = ((n-1)>>2)+1;
+    var i;
+    var j;
+
+    component windows[nBlocks];
+
+    // Construct the windows
+    for (i=0; i<nBlocks; i++) {
+      windows[i] = ExpWindow(i);
+    }
+
+    // Connect the selectors
+    for (i=0; i<nBlocks; i++) {
+        for (j=0; j<4; j++) {
+            if (i*4+j >= n) {
+                windows[i].sel[j] <== 0;
+            } else {
+                windows[i].sel[j] <== in[i*4+j];
+            }
+        }
+    }
+
+    // Start with generator
+    windows[0].in[0] <== 0;
+    windows[0].in[1] <== 1;
+
+    for(i=0; i<nBlocks-1; i++) {
+        windows[i].out[0] ==> windows[i+1].in[0];
+        windows[i].out[1] ==> windows[i+1].in[1];
+    }
+
+    windows[nBlocks-1].out[0] ==> out[0];
+    windows[nBlocks-1].out[1] ==> out[1];
+}
diff --git a/circuit/expw4table.circom b/circuit/expw4table.circom
new file mode 100644
index 0000000..dac18af
--- /dev/null
+++ b/circuit/expw4table.circom
@@ -0,0 +1,33 @@
+function pointAdd(x1,y1,x2,y2) {
+    var a = 168700;
+    var d = 168696;
+
+    var res[2];
+    res[0] = (x1*y2 + y1*x2) / (1 + d*x1*x2*y1*y2);
+    res[1] = (y1*y2 - a*x1*x2) / (1 - d*x1*x2*y1*y2);
+    return res;
+}
+
+template ExpW4Table(k) {
+    signal output out[16][2];
+
+    var i;
+    var p[2];
+
+    var g = [17777552123799933955779906779655732241715742912184938656739573121738514868268,
+             2626589144620713026669568689430873010625803728049924121243784502389097019475];
+
+    var dbl = g;
+
+    for (i=0; i<k*4; i++) {
+        dbl = pointAdd(dbl[0], dbl[1], dbl[0], dbl[1]);
+    }
+
+    out[0][0] <== 0;
+    out[0][1] <== 1;
+    for (i=1; i<16; i++) {
+        p = pointAdd(out[i-1][0], out[i-1][1], dbl[0], dbl[1]);
+        out[i][0] <== p[0];
+        out[i][1] <== p[1];
+    }
+}
diff --git a/circuit/mux4.circom b/circuit/mux4.circom
new file mode 100644
index 0000000..8814126
--- /dev/null
+++ b/circuit/mux4.circom
@@ -0,0 +1,103 @@
+
+
+
+
+template MultiMux4(n) {
+    signal input c[n][16];  // Constants
+    signal input s[4];   // Selector
+    signal output out[n];
+
+    signal a3210[n];
+    signal a321[n];
+    signal a320[n];
+    signal a310[n];
+    signal a32[n];
+    signal a31[n];
+    signal a30[n];
+    signal a3[n];
+
+    signal a210[n];
+    signal a21[n];
+    signal a20[n];
+    signal a10[n];
+    signal a2[n];
+    signal a1[n];
+    signal a0[n];
+    signal a[n];
+
+    // 4 constrains for the intermediary variables
+    signal  s10;
+    s10 <== s[1] * s[0];
+    signal  s20;
+    s20 <== s[2] * s[0];
+    signal  s21;
+    s21 <== s[2] * s[1];
+    signal s210;
+    s210 <==  s21 * s[0];
+
+
+    for (var i=0; i<n; i++) {
+
+        a3210[i] <==  ( c[i][15]-c[i][14]-c[i][13]+c[i][12] - c[i][11]+c[i][10]+c[i][ 9]-c[i][ 8]
+                       -c[i][ 7]+c[i][ 6]+c[i][ 5]-c[i][ 4] + c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s210;
+         a321[i] <==  ( c[i][14]-c[i][12]-c[i][10]+c[i][ 8] - c[i][ 6]+c[i][ 4]+c[i][ 2]-c[i][ 0] ) * s21;
+         a320[i] <==  ( c[i][13]-c[i][12]-c[i][ 9]+c[i][ 8] - c[i][ 5]+c[i][ 4]+c[i][ 1]-c[i][ 0] ) * s20;
+         a310[i] <==  ( c[i][11]-c[i][10]-c[i][ 9]+c[i][ 8] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) * s10;
+          a32[i] <==  ( c[i][12]-c[i][ 8]-c[i][ 4]+c[i][ 0] ) * s[2];
+          a31[i] <==  ( c[i][10]-c[i][ 8]-c[i][ 2]+c[i][ 0] ) * s[1];
+          a30[i] <==  ( c[i][ 9]-c[i][ 8]-c[i][ 1]+c[i][ 0] ) * s[0];
+           a3[i] <==  ( c[i][ 8]-c[i][ 0] );
+
+         a210[i] <==  ( c[i][ 7]-c[i][ 6]-c[i][ 5]+c[i][ 4] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) * s210;
+          a21[i] <==  ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) * s21;
+          a20[i] <==  ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) * s20;
+          a10[i] <==  ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) * s10;
+           a2[i] <==  ( c[i][ 4]-c[i][ 0] ) * s[2];
+           a1[i] <==  ( c[i][ 2]-c[i][ 0] ) * s[1];
+           a0[i] <==  ( c[i][ 1]-c[i][ 0] ) * s[0];
+            a[i] <==  ( c[i][ 0] )
+
+          out[i] <== ( a3210[i] + a321[i] + a320[i] + a310[i] + a32[i] + a31[i] + a30[i] + a3[i] ) * s[3] +
+                     (  a210[i] +  a21[i] +  a20[i] +  a10[i] +  a2[i] +  a1[i] +  a0[i] +  a[i] );
+
+/*
+        out[i] <== (  s210 * ( c[i][15]-c[i][14]-c[i][13]+c[i][12] - c[i][11]+c[i][10]+c[i][ 9]-c[i][ 8]
+                              -c[i][ 7]+c[i][ 6]+c[i][ 5]-c[i][ 4] + c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) +
+                       s21 * ( c[i][14]-c[i][12]-c[i][10]+c[i][ 8] - c[i][ 6]+c[i][ 4]+c[i][ 2]-c[i][ 0] ) +
+                       s20 * ( c[i][13]-c[i][12]-c[i][ 9]+c[i][ 8] - c[i][ 5]+c[i][ 4]+c[i][ 1]-c[i][ 0] ) +
+                       s10 * ( c[i][11]-c[i][10]-c[i][ 9]+c[i][ 8] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) +
+                      s[2] * ( c[i][12]-c[i][ 8]-c[i][ 4]+c[i][ 0] ) +
+                      s[1] * ( c[i][10]-c[i][ 8]-c[i][ 2]+c[i][ 0] ) +
+                      s[0] * ( c[i][ 9]-c[i][ 8]-c[i][ 1]+c[i][ 0] ) +
+                             ( c[i][ 8]-c[i][ 0] ) ) * s[3]  +
+                (     s210 * ( c[i][ 7]-c[i][ 6]-c[i][ 5]+c[i][ 4] - c[i][ 3]+c[i][ 2]+c[i][ 1]-c[i][ 0] ) +
+                       s21 * ( c[i][ 6]-c[i][ 4]-c[i][ 2]+c[i][ 0] ) +
+                       s20 * ( c[i][ 5]-c[i][ 4]-c[i][ 1]+c[i][ 0] ) +
+                       s10 * ( c[i][ 3]-c[i][ 2]-c[i][ 1]+c[i][ 0] ) +
+                      s[2] * ( c[i][ 4]-c[i][ 0] ) +
+                      s[1] * ( c[i][ 2]-c[i][ 0] ) +
+                      s[0] * ( c[i][ 1]-c[i][ 0] ) +
+                             ( c[i][ 0] ));
+
+*/
+    }
+}
+
+template Mux4() {
+    var i;
+    signal input c[16];  // Constants
+    signal input s[4];   // Selector
+    signal output out;
+
+    component mux = MultiMux4(1);
+
+    for (i=0; i<16; i++) {
+        mux.c[0][i] <== c[i];
+    }
+
+    for (i=0; i<4; i++) {
+      s[i] ==> mux.s[i];
+    }
+
+    mux.out[0] ==> out;
+}
diff --git a/doc/window.monopic b/doc/window.monopic
new file mode 100644
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diff --git a/doc/window_chain.monopic b/doc/window_chain.monopic
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index 0000000..47c18bd
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diff --git a/package-lock.json b/package-lock.json
new file mode 100644
index 0000000..83845ba
--- /dev/null
+++ b/package-lock.json
@@ -0,0 +1,1356 @@
+{
+  "name": "cirpedersen",
+  "version": "0.0.1",
+  "lockfileVersion": 1,
+  "requires": true,
+  "dependencies": {
+    "@babel/code-frame": {
+      "version": "7.0.0",
+      "resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.0.0.tgz",
+      "integrity": "sha512-OfC2uemaknXr87bdLUkWog7nYuliM9Ij5HUcajsVcMCpQrcLmtxRbVFTIqmcSkSeYRBFBRxs2FiUqFJDLdiebA==",
+      "requires": {
+        "@babel/highlight": "^7.0.0"
+      }
+    },
+    "@babel/highlight": {
+      "version": "7.0.0",
+      "resolved": "https://registry.npmjs.org/@babel/highlight/-/highlight-7.0.0.tgz",
+      "integrity": "sha512-UFMC4ZeFC48Tpvj7C8UgLvtkaUuovQX+5xNWrsIoMG8o2z+XFKjKaN9iVmS84dPwVN00W4wPmqvYoZF3EGAsfw==",
+      "requires": {
+        "chalk": "^2.0.0",
+        "esutils": "^2.0.2",
+        "js-tokens": "^4.0.0"
+      }
+    },
+    "acorn": {
+      "version": "5.7.3",
+      "resolved": "https://registry.npmjs.org/acorn/-/acorn-5.7.3.tgz",
+      "integrity": "sha512-T/zvzYRfbVojPWahDsE5evJdHb3oJoQfFbsrKM7w5Zcs++Tr257tia3BmMP8XYVjp1S9RZXQMh7gao96BlqZOw=="
+    },
+    "acorn-jsx": {
+      "version": "4.1.1",
+      "resolved": "https://registry.npmjs.org/acorn-jsx/-/acorn-jsx-4.1.1.tgz",
+      "integrity": "sha512-JY+iV6r+cO21KtntVvFkD+iqjtdpRUpGqKWgfkCdZq1R+kbreEl8EcdcJR4SmiIgsIQT33s6QzheQ9a275Q8xw==",
+      "requires": {
+        "acorn": "^5.0.3"
+      }
+    },
+    "ajv": {
+      "version": "6.5.4",
+      "resolved": "https://registry.npmjs.org/ajv/-/ajv-6.5.4.tgz",
+      "integrity": "sha512-4Wyjt8+t6YszqaXnLDfMmG/8AlO5Zbcsy3ATHncCzjW/NoPzAId8AK6749Ybjmdt+kUY1gP60fCu46oDxPv/mg==",
+      "requires": {
+        "fast-deep-equal": "^2.0.1",
+        "fast-json-stable-stringify": "^2.0.0",
+        "json-schema-traverse": "^0.4.1",
+        "uri-js": "^4.2.2"
+      }
+    },
+    "ansi-escapes": {
+      "version": "3.1.0",
+      "resolved": "https://registry.npmjs.org/ansi-escapes/-/ansi-escapes-3.1.0.tgz",
+      "integrity": "sha512-UgAb8H9D41AQnu/PbWlCofQVcnV4Gs2bBJi9eZPxfU/hgglFh3SMDMENRIqdr7H6XFnXdoknctFByVsCOotTVw=="
+    },
+    "ansi-regex": {
+      "version": "3.0.0",
+      "resolved": "https://registry.npmjs.org/ansi-regex/-/ansi-regex-3.0.0.tgz",
+      "integrity": "sha1-7QMXwyIGT3lGbAKWa922Bas32Zg="
+    },
+    "ansi-styles": {
+      "version": "3.2.1",
+      "resolved": "https://registry.npmjs.org/ansi-styles/-/ansi-styles-3.2.1.tgz",
+      "integrity": "sha512-VT0ZI6kZRdTh8YyJw3SMbYm/u+NqfsAxEpWO0Pf9sq8/e94WxxOpPKx9FR1FlyCtOVDNOQ+8ntlqFxiRc+r5qA==",
+      "requires": {
+        "color-convert": "^1.9.0"
+      }
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+      "integrity": "sha512-PHyM+sQouu7xspQQwELlGwwd05mXUFqwFYfqPO0cC7x4fxyHnnuetmQr6CjJiafIDoH4MogHb9dOoJzR/Y4rFg=="
+    },
+    "y18n": {
+      "version": "4.0.0",
+      "resolved": "https://registry.npmjs.org/y18n/-/y18n-4.0.0.tgz",
+      "integrity": "sha512-r9S/ZyXu/Xu9q1tYlpsLIsa3EeLXXk0VwlxqTcFRfg9EhMW+17kbt9G0NrgCmhGb5vT2hyhJZLfDGx+7+5Uj/w=="
+    },
+    "yargs": {
+      "version": "12.0.2",
+      "resolved": "https://registry.npmjs.org/yargs/-/yargs-12.0.2.tgz",
+      "integrity": "sha512-e7SkEx6N6SIZ5c5H22RTZae61qtn3PYUE8JYbBFlK9sYmh3DMQ6E5ygtaG/2BW0JZi4WGgTR2IV5ChqlqrDGVQ==",
+      "requires": {
+        "cliui": "^4.0.0",
+        "decamelize": "^2.0.0",
+        "find-up": "^3.0.0",
+        "get-caller-file": "^1.0.1",
+        "os-locale": "^3.0.0",
+        "require-directory": "^2.1.1",
+        "require-main-filename": "^1.0.1",
+        "set-blocking": "^2.0.0",
+        "string-width": "^2.0.0",
+        "which-module": "^2.0.0",
+        "y18n": "^3.2.1 || ^4.0.0",
+        "yargs-parser": "^10.1.0"
+      }
+    },
+    "yargs-parser": {
+      "version": "10.1.0",
+      "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-10.1.0.tgz",
+      "integrity": "sha512-VCIyR1wJoEBZUqk5PA+oOBF6ypbwh5aNB3I50guxAL/quggdfs4TtNHQrSazFA3fYZ+tEqfs0zIGlv0c/rgjbQ==",
+      "requires": {
+        "camelcase": "^4.1.0"
+      }
+    },
+    "zksnark": {
+      "version": "0.0.11",
+      "resolved": "https://registry.npmjs.org/zksnark/-/zksnark-0.0.11.tgz",
+      "integrity": "sha512-YIOk93pLvc8NDVvedB0SDM1kGjPTdTYC/sgAvc9Dm6qMSYnS7tzCr844QaUlMApFTldz7D/6xlF1l24ttTGLXw==",
+      "requires": {
+        "big-integer": "^1.6.35",
+        "chai": "^4.1.2",
+        "eslint": "^5.3.0"
+      }
+    }
+  }
+}
diff --git a/package.json b/package.json
new file mode 100644
index 0000000..f55f07a
--- /dev/null
+++ b/package.json
@@ -0,0 +1,29 @@
+{
+  "name": "cirpedersen",
+  "version": "0.0.1",
+  "description": "Pesersen Circuit for Circom",
+  "main": "index.js",
+  "directories": {
+    "test": "test"
+  },
+  "scripts": {
+    "test": "mocha"
+  },
+  "keywords": [
+    "pedersen",
+    "hash",
+    "ethereum",
+    "circuit",
+    "circom",
+    "zksnark"
+  ],
+  "author": "Jordi Baylina",
+  "license": "GPL-3.0",
+  "dependencies": {
+    "circom": "0.0.7",
+    "zksnark": "0.0.11"
+  },
+  "devDependencies": {
+    "mocha": "^5.2.0"
+  }
+}
diff --git a/test/babyjub.js b/test/babyjub.js
new file mode 100644
index 0000000..536e7a6
--- /dev/null
+++ b/test/babyjub.js
@@ -0,0 +1,98 @@
+const chai = require("chai");
+const path = require("path");
+const zkSnark = require("zksnark");
+const compiler = require("circom");
+
+const assert = chai.assert;
+
+const bigInt = require("big-integer");
+
+
+describe("Baby Jub test", () => {
+    it("Should add point (0,1) and (0,1)", async () => {
+
+        const cirDef = await compiler(path.join(__dirname, "circuits", "babyadd_tester.circom"));
+
+//        console.log(JSON.stringify(cirDef, null, 1));
+
+//        assert.equal(cirDef.nVars, 2);
+
+        const circuit = new zkSnark.Circuit(cirDef);
+
+        console.log("NConstrains: " + circuit.nConstraints);
+
+        const input={
+            x1: zkSnark.bigInt(0),
+            y1: zkSnark.bigInt(1),
+            x2: zkSnark.bigInt(0),
+            y2: zkSnark.bigInt(1)
+        }
+
+        const w = circuit.calculateWitness(input);
+
+        const xout = w[circuit.getSignalIdx("main.xout")];
+        const yout = w[circuit.getSignalIdx("main.yout")];
+
+        assert(xout.equals(0));
+        assert(yout.equals(1));
+    });
+
+    it("Should add 2 same numbers", async () => {
+
+        const cirDef = await compiler(path.join(__dirname, "circuits", "babyadd_tester.circom"));
+
+//        console.log(JSON.stringify(cirDef, null, 1));
+
+//        assert.equal(cirDef.nVars, 2);
+
+        const circuit = new zkSnark.Circuit(cirDef);
+
+        console.log("NConstrains: " + circuit.nConstraints);
+
+        const input={
+            x1: zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"),
+            y1: zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475"),
+            x2: zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"),
+            y2: zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")
+        }
+
+        const w = circuit.calculateWitness(input);
+
+        const xout = w[circuit.getSignalIdx("main.xout")];
+        const yout = w[circuit.getSignalIdx("main.yout")];
+
+        assert(xout.equals(zkSnark.bigInt("6890855772600357754907169075114257697580319025794532037257385534741338397365")));
+        assert(yout.equals(zkSnark.bigInt("4338620300185947561074059802482547481416142213883829469920100239455078257889")));
+    });
+
+    it("Should add 2 different numbers", async () => {
+
+        const cirDef = await compiler(path.join(__dirname, "circuits", "babyadd_tester.circom"));
+
+//        console.log(JSON.stringify(cirDef, null, 1));
+
+//        assert.equal(cirDef.nVars, 2);
+
+        const circuit = new zkSnark.Circuit(cirDef);
+
+        console.log("NConstrains: " + circuit.nConstraints);
+
+        const input={
+            x1: zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"),
+            y1: zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475"),
+            x2: zkSnark.bigInt("16540640123574156134436876038791482806971768689494387082833631921987005038935"),
+            y2: zkSnark.bigInt("20819045374670962167435360035096875258406992893633759881276124905556507972311")
+        }
+
+        const w = circuit.calculateWitness(input);
+
+        const xout = w[circuit.getSignalIdx("main.xout")];
+        const yout = w[circuit.getSignalIdx("main.yout")];
+
+        console.log(xout.toString());
+        console.log(yout.toString());
+
+        assert(xout.equals(zkSnark.bigInt("7916061937171219682591368294088513039687205273691143098332585753343424131937")));
+        assert(yout.equals(zkSnark.bigInt("14035240266687799601661095864649209771790948434046947201833777492504781204499")));
+    });
+});
diff --git a/test/circuits/babyadd_tester.circom b/test/circuits/babyadd_tester.circom
new file mode 100644
index 0000000..8214326
--- /dev/null
+++ b/test/circuits/babyadd_tester.circom
@@ -0,0 +1,3 @@
+include "../../circuit/babyjub.circom";
+
+component main = BabyAdd();
diff --git a/test/circuits/exp_test.circom b/test/circuits/exp_test.circom
new file mode 100644
index 0000000..dd101da
--- /dev/null
+++ b/test/circuits/exp_test.circom
@@ -0,0 +1,24 @@
+include "../../circuit/exp.circom";
+include "../../node_modules/circom/circuits/sha256/bitify.circom";
+
+
+template Main() {
+    signal input in;
+    signal output out[2];
+
+    component n2b = Num2Bits(253);
+    component exp = Exp(253);
+
+    var i;
+
+    in ==> n2b.in;
+
+    for  (i=0; i<253; i++) {
+        n2b.out[i] ==> exp.in[i];
+    }
+
+    exp.out[0] ==> out[0];
+    exp.out[1] ==> out[1];
+}
+
+component main = Main();
diff --git a/test/circuits/exp_test_min.circom b/test/circuits/exp_test_min.circom
new file mode 100644
index 0000000..883eefa
--- /dev/null
+++ b/test/circuits/exp_test_min.circom
@@ -0,0 +1,20 @@
+include "../../circuit/exp.circom";
+
+
+template Main() {
+    signal input in[256];
+    signal output out[2];
+
+    var i;
+
+    component exp = Exp(256);
+
+    for  (i=0; i<256; i++) {
+        in[i] ==> exp.in[i];
+    }
+
+    exp.out[0] ==> out[0];
+    exp.out[1] ==> out[1];
+}
+
+component main = Main();
diff --git a/test/circuits/expw4table_test.circom b/test/circuits/expw4table_test.circom
new file mode 100644
index 0000000..fe8236e
--- /dev/null
+++ b/test/circuits/expw4table_test.circom
@@ -0,0 +1,3 @@
+include "../../circuit/ExpW4Table.circom";
+
+component main = ExpW4Table(0);
diff --git a/test/circuits/expw4table_test3.circom b/test/circuits/expw4table_test3.circom
new file mode 100644
index 0000000..04cffaf
--- /dev/null
+++ b/test/circuits/expw4table_test3.circom
@@ -0,0 +1,3 @@
+include "../../circuit/ExpW4Table.circom";
+
+component main = ExpW4Table(3);
diff --git a/test/circuits/mux4_1.circom b/test/circuits/mux4_1.circom
new file mode 100644
index 0000000..f71cf20
--- /dev/null
+++ b/test/circuits/mux4_1.circom
@@ -0,0 +1,54 @@
+include "../../circuit/mux4.circom";
+include "../../node_modules/circom/circuits/sha256/bitify.circom";
+
+
+template Constants() {
+    var i;
+    signal output out[16];
+
+    out[0] <== 123;
+    out[1] <== 456;
+    out[2] <== 789;
+    out[3] <== 012;
+    out[4] <== 111;
+    out[5] <== 222;
+    out[6] <== 333;
+    out[7] <== 4546;
+    out[8] <== 134523;
+    out[9] <== 44356;
+    out[10] <== 15623;
+    out[11] <== 4566;
+    out[12] <== 1223;
+    out[13] <== 4546;
+    out[14] <== 4256;
+    out[15] <== 4456;
+
+/*
+    for (i=0;i<16; i++) {
+        out[i] <== i*2+100;
+    }
+*/
+
+}
+
+template Main() {
+    var i;
+    signal private input selector;
+    signal output out;
+
+    component mux = Mux4();
+    component n2b = Num2Bits(4);
+    component cst = Constants();
+
+    selector ==> n2b.in;
+    for (i=0; i<4; i++) {
+        n2b.out[i] ==> mux.s[i];
+    }
+    for (i=0; i<16; i++) {
+        cst.out[i] ==> mux.c[i];
+    }
+
+    mux.out ==> out;
+}
+
+component main = Main();
diff --git a/test/exp.js b/test/exp.js
new file mode 100644
index 0000000..47be9c0
--- /dev/null
+++ b/test/exp.js
@@ -0,0 +1,168 @@
+const chai = require("chai");
+const path = require("path");
+const zkSnark = require("zksnark");
+const compiler = require("circom");
+
+const assert = chai.assert;
+
+const bigInt = require("big-integer");
+
+
+const q=21888242871839275222246405745257275088548364400416034343698204186575808495617n
+function addPoint(a,b) {
+    const cta = 168700n;
+    const d = 168696n;
+
+    const res = [];
+    res[0] = bigInt((a[0]*b[1] + b[0]*a[1]) *  bigInt(1n + d*a[0]*b[0]*a[1]*b[1]).inverse(q)).affine(q);
+    res[1] = bigInt((a[1]*b[1] - cta*a[0]*b[0]) * bigInt(1n - d*a[0]*b[0]*a[1]*b[1]).inverse(q)).affine(q);
+    return res;
+}
+
+function print(circuit, w, s) {
+    console.log(s + ": " + w[circuit.getSignalIdx(s)]);
+}
+
+describe("Exponentioation test", () => {
+    it("Should generate the Exponentiation table in k=0", async () => {
+
+        const cirDef = await compiler(path.join(__dirname, "circuits", "expw4table_test.circom"));
+
+//        console.log(JSON.stringify(cirDef, null, 1));
+
+//        assert.equal(cirDef.nVars, 2);
+
+        const circuit = new zkSnark.Circuit(cirDef);
+
+        console.log("NConstrains: " + circuit.nConstraints);
+
+        const w = circuit.calculateWitness({});
+
+        let g = [zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"),
+                 zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")]
+
+        dbl= [zkSnark.bigInt("0"), zkSnark.bigInt("1")];
+
+        for (let i=0; i<16; i++) {
+            const xout1 = w[circuit.getSignalIdx(`main.out[${i}][0]`)];
+            const yout1 = w[circuit.getSignalIdx(`main.out[${i}][1]`)];
+/*
+            console.log(xout1.toString());
+            console.log(yout1.toString());
+            console.log(dbl[0]);
+            console.log(dbl[1]);
+*/
+            assert(xout1.equals(dbl[0]));
+            assert(yout1.equals(dbl[1]));
+
+            dbl = addPoint([xout1, yout1],g);
+        }
+
+    });
+
+    it("Should generate the Exponentiation table in k=3", async () => {
+
+        const cirDef = await compiler(path.join(__dirname, "circuits", "expw4table_test3.circom"));
+
+//        console.log(JSON.stringify(cirDef, null, 1));
+
+//        assert.equal(cirDef.nVars, 2);
+
+        const circuit = new zkSnark.Circuit(cirDef);
+
+        console.log("NConstrains: " + circuit.nConstraints);
+
+        const w = circuit.calculateWitness({});
+
+        let g = [zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"),
+                 zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")]
+
+        for (let i=0; i<12;i++) {
+            g = addPoint(g,g);
+        }
+
+        dbl= [zkSnark.bigInt("0"), zkSnark.bigInt("1")];
+
+        for (let i=0; i<16; i++) {
+            const xout1 = w[circuit.getSignalIdx(`main.out[${i}][0]`)];
+            const yout1 = w[circuit.getSignalIdx(`main.out[${i}][1]`)];
+
+/*
+            console.log(xout1.toString());
+            console.log(yout1.toString());
+            console.log(dbl[0]);
+            console.log(dbl[1]);
+*/
+            assert(xout1.equals(dbl[0]));
+            assert(yout1.equals(dbl[1]));
+
+            dbl = addPoint([xout1, yout1],g);
+        }
+
+    });
+
+    it("Should exponentiate g^31", async () => {
+        const cirDef = await compiler(path.join(__dirname, "circuits", "exp_test.circom"));
+
+//        console.log(JSON.stringify(cirDef, null, 1));
+
+//        assert.equal(cirDef.nVars, 2);
+
+        const circuit = new zkSnark.Circuit(cirDef);
+
+        console.log("NConstrains: " + circuit.nConstraints);
+
+        const w = circuit.calculateWitness({"in": 31});
+
+        assert(circuit.checkWitness(w));
+
+        let g = [zkSnark.bigInt("17777552123799933955779906779655732241715742912184938656739573121738514868268"),
+                 zkSnark.bigInt("2626589144620713026669568689430873010625803728049924121243784502389097019475")]
+
+        let c = [0n, 1n];
+
+        for (let i=0; i<31;i++) {
+            c = addPoint(c,g);
+        }
+
+        const xout = w[circuit.getSignalIdx(`main.out[0]`)];
+        const yout = w[circuit.getSignalIdx(`main.out[1]`)];
+
+/*
+        console.log(xout.toString());
+        console.log(yout.toString());
+*/
+        assert(xout.equals(c[0]));
+        assert(yout.equals(c[1]));
+
+        console.log("-------")
+        const w2 = circuit.calculateWitness({"in": (1n<<252n)+1n});
+
+        const xout2 = w2[circuit.getSignalIdx(`main.out[0]`)];
+        const yout2 = w2[circuit.getSignalIdx(`main.out[1]`)];
+
+        c = [g[0], g[1]];
+        for (let i=0; i<252;i++) {
+            c = addPoint(c,c);
+        }
+        c = addPoint(c,g);
+/*
+        console.log(xout2.toString());
+        console.log(yout2.toString());
+        console.log(c[0].toString());
+        console.log(c[1].toString());
+*/
+        assert(xout2.equals(c[0]));
+        assert(yout2.equals(c[1]));
+
+    }).timeout(10000000);
+
+    it("Number of constrains for 256 bits", async () => {
+        const cirDef = await compiler(path.join(__dirname, "circuits", "exp_test_min.circom"));
+
+        const circuit = new zkSnark.Circuit(cirDef);
+
+        console.log("NConstrains: " + circuit.nConstraints);
+    }).timeout(10000000);
+
+});
diff --git a/test/multiplexer.js b/test/multiplexer.js
new file mode 100644
index 0000000..9efc33e
--- /dev/null
+++ b/test/multiplexer.js
@@ -0,0 +1,33 @@
+const chai = require("chai");
+const path = require("path");
+const zkSnark = require("zksnark");
+const compiler = require("circom");
+
+const assert = chai.assert;
+
+const bigInt = require("big-integer");
+
+
+describe("Mux4 test", () => {
+    it("Should create a constant multiplexer", async () => {
+
+        const cirDef = await compiler(path.join(__dirname, "circuits", "mux4_1.circom"));
+
+//        console.log(JSON.stringify(cirDef, null, 1));
+
+//        assert.equal(cirDef.nVars, 2);
+
+        const circuit = new zkSnark.Circuit(cirDef);
+
+        console.log("NConstrains: " + circuit.nConstraints);
+
+        for (i=0; i<16; i++) {
+            const w = circuit.calculateWitness({ "selector": zkSnark.bigInt(i).toString() });
+
+            assert(w[0].equals(zkSnark.bigInt(1)));
+
+            console.log(i + " -> " + w[circuit.getSignalIdx("main.out")].toString());
+//            assert(w[circuit.getSignalIdx("main.out")].equals(zkSnark.bigInt("100").add(zkSnark.bigInt(i))));
+        }
+    });
+});