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ctx.assert(ctx.getSignal(\"s20\", []), bigInt(ctx.getSignal(\"s\", [\"2\"])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"s21\", [], bigInt(ctx.getSignal(\"s\", [\"2\"])).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"s21\", []), bigInt(ctx.getSignal(\"s\", [\"2\"])).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.setSignal(\"s210\", [], bigInt(ctx.getSignal(\"s21\", [])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"s210\", []), bigInt(ctx.getSignal(\"s21\", [])).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setSignal(\"a3210\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"15\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"14\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"13\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"11\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"7\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s210\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a3210\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"15\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"14\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"13\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"11\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"7\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s210\", []))).mod(__P__));\n ctx.setSignal(\"a321\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"14\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s21\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a321\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"14\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s21\", []))).mod(__P__));\n ctx.setSignal(\"a320\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"13\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s20\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a320\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"13\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s20\", []))).mod(__P__));\n ctx.setSignal(\"a310\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"11\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s10\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a310\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"11\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s10\", []))).mod(__P__));\n ctx.setSignal(\"a32\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"2\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a32\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"12\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"2\"]))).mod(__P__));\n ctx.setSignal(\"a31\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a31\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"10\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.setSignal(\"a30\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a30\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"9\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"a3\", [ctx.getVar(\"i\",[])], bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a3\", [ctx.getVar(\"i\",[])]), bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"8\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__));\n ctx.setSignal(\"a210\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"7\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s210\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a210\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"7\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s210\", []))).mod(__P__));\n ctx.setSignal(\"a21\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s21\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a21\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"6\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s21\", []))).mod(__P__));\n ctx.setSignal(\"a20\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s20\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a20\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"5\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s20\", []))).mod(__P__));\n ctx.setSignal(\"a10\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s10\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a10\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"3\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"]))).mod(__P__)).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"]))).mod(__P__)).add(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s10\", []))).mod(__P__));\n ctx.setSignal(\"a2\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"2\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a2\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"4\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"2\"]))).mod(__P__));\n ctx.setSignal(\"a1\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a1\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"2\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"1\"]))).mod(__P__));\n ctx.setSignal(\"a0\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getSignal(\"a0\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"1\"])).add(__P__).sub(bigInt(ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"a\", [ctx.getVar(\"i\",[])], ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]));\n ctx.assert(ctx.getSignal(\"a\", [ctx.getVar(\"i\",[])]), ctx.getSignal(\"c\", [ctx.getVar(\"i\",[]),\"0\"]));\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[])], bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"a3210\", [ctx.getVar(\"i\",[])])).add(bigInt(ctx.getSignal(\"a321\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a320\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a310\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a32\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a31\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a30\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a3\", [ctx.getVar(\"i\",[])]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"3\"]))).mod(__P__)).add(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"a210\", [ctx.getVar(\"i\",[])])).add(bigInt(ctx.getSignal(\"a21\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a20\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a10\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a2\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a1\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a0\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a\", [ctx.getVar(\"i\",[])]))).mod(__P__))).mod(__P__));\n ctx.assert(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])]), bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"a3210\", [ctx.getVar(\"i\",[])])).add(bigInt(ctx.getSignal(\"a321\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a320\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a310\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a32\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a31\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a30\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a3\", [ctx.getVar(\"i\",[])]))).mod(__P__)).mul(bigInt(ctx.getSignal(\"s\", [\"3\"]))).mod(__P__)).add(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getSignal(\"a210\", [ctx.getVar(\"i\",[])])).add(bigInt(ctx.getSignal(\"a21\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a20\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a10\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a2\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a1\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a0\", [ctx.getVar(\"i\",[])]))).mod(__P__)).add(bigInt(ctx.getSignal(\"a\", [ctx.getVar(\"i\",[])]))).mod(__P__))).mod(__P__));\n }\n\n }\n}\n", - "Mux4": "function(ctx) {\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"16\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"mux\", [], \"c\", [\"0\",ctx.getVar(\"i\",[])], ctx.getSignal(\"c\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"mux\", [], \"c\", [\"0\",ctx.getVar(\"i\",[])]), ctx.getSignal(\"c\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"4\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"mux\", [], \"s\", [ctx.getVar(\"i\",[])], ctx.getSignal(\"s\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"mux\", [], \"s\", [ctx.getVar(\"i\",[])]), ctx.getSignal(\"s\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n ctx.setSignal(\"out\", [], ctx.getPin(\"mux\", [], \"out\", [\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", []), ctx.getPin(\"mux\", [], \"out\", [\"0\"]));\n}\n", - "EscalarMulW4Table": "function(ctx) {\n ctx.setVar(\"dbl\", [], ctx.getVar(\"base\",[]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(bigInt(ctx.getVar(\"k\",[])).mul(bigInt(\"4\")).mod(__P__))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"dbl\", [], ctx.callFunction(\"pointAdd\", [ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"]),ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"])]));\n }\n\n }\n ctx.setSignal(\"out\", [\"0\",\"0\"], \"0\");\n ctx.assert(ctx.getSignal(\"out\", [\"0\",\"0\"]), \"0\");\n ctx.setSignal(\"out\", [\"0\",\"1\"], \"1\");\n ctx.assert(ctx.getSignal(\"out\", [\"0\",\"1\"]), \"1\");\n for (ctx.setVar(\"i\", [], \"1\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"16\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"p\", [], ctx.callFunction(\"pointAdd\", [ctx.getSignal(\"out\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__),\"0\"]),ctx.getSignal(\"out\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__),\"1\"]),ctx.getVar(\"dbl\",[\"0\"]),ctx.getVar(\"dbl\",[\"1\"])]));\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[]),\"0\"], ctx.getVar(\"p\",[\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[]),\"0\"]), ctx.getVar(\"p\",[\"0\"]));\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[]),\"1\"], ctx.getVar(\"p\",[\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[]),\"1\"]), ctx.getVar(\"p\",[\"1\"]));\n }\n\n }\n}\n", - "BabyAdd": "function(ctx) {\n ctx.setVar(\"a\", [], \"168700\");\n ctx.setVar(\"d\", [], \"168696\");\n ctx.setSignal(\"beta\", [], bigInt(ctx.getSignal(\"x1\", [])).mul(bigInt(ctx.getSignal(\"y2\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"beta\", []), bigInt(ctx.getSignal(\"x1\", [])).mul(bigInt(ctx.getSignal(\"y2\", []))).mod(__P__));\n ctx.setSignal(\"gamma\", [], bigInt(ctx.getSignal(\"y1\", [])).mul(bigInt(ctx.getSignal(\"x2\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"gamma\", []), bigInt(ctx.getSignal(\"y1\", [])).mul(bigInt(ctx.getSignal(\"x2\", []))).mod(__P__));\n ctx.setSignal(\"delta\", [], bigInt(ctx.getSignal(\"y1\", [])).mul(bigInt(ctx.getSignal(\"y2\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"delta\", []), bigInt(ctx.getSignal(\"y1\", [])).mul(bigInt(ctx.getSignal(\"y2\", []))).mod(__P__));\n ctx.setSignal(\"epsilon\", [], bigInt(ctx.getSignal(\"x1\", [])).mul(bigInt(ctx.getSignal(\"x2\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"epsilon\", []), bigInt(ctx.getSignal(\"x1\", [])).mul(bigInt(ctx.getSignal(\"x2\", []))).mod(__P__));\n ctx.setSignal(\"tau\", [], bigInt(ctx.getSignal(\"delta\", [])).mul(bigInt(ctx.getSignal(\"epsilon\", []))).mod(__P__));\n ctx.assert(ctx.getSignal(\"tau\", []), bigInt(ctx.getSignal(\"delta\", [])).mul(bigInt(ctx.getSignal(\"epsilon\", []))).mod(__P__));\n ctx.setSignal(\"xout\", [], bigInt(bigInt(ctx.getSignal(\"beta\", [])).add(bigInt(ctx.getSignal(\"gamma\", []))).mod(__P__)).mul( bigInt(bigInt(\"1\").add(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getSignal(\"tau\", []))).mod(__P__))).mod(__P__)).inverse(__P__) ).mod(__P__));\n ctx.assert(bigInt(bigInt(\"1\").add(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getSignal(\"tau\", []))).mod(__P__))).mod(__P__)).mul(bigInt(ctx.getSignal(\"xout\", []))).mod(__P__), bigInt(ctx.getSignal(\"beta\", [])).add(bigInt(ctx.getSignal(\"gamma\", []))).mod(__P__));\n ctx.setSignal(\"yout\", [], bigInt(bigInt(ctx.getSignal(\"delta\", [])).add(__P__).sub(bigInt(bigInt(ctx.getVar(\"a\",[])).mul(bigInt(ctx.getSignal(\"epsilon\", []))).mod(__P__))).mod(__P__)).mul( bigInt(bigInt(\"1\").add(__P__).sub(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getSignal(\"tau\", []))).mod(__P__))).mod(__P__)).inverse(__P__) ).mod(__P__));\n ctx.assert(bigInt(bigInt(\"1\").add(__P__).sub(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getSignal(\"tau\", []))).mod(__P__))).mod(__P__)).mul(bigInt(ctx.getSignal(\"yout\", []))).mod(__P__), bigInt(ctx.getSignal(\"delta\", [])).add(__P__).sub(bigInt(bigInt(ctx.getVar(\"a\",[])).mul(bigInt(ctx.getSignal(\"epsilon\", []))).mod(__P__))).mod(__P__));\n}\n", - "EscalarMulWindow": "function(ctx) {\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"4\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"mux\", [], \"s\", [ctx.getVar(\"i\",[])], ctx.getSignal(\"sel\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"mux\", [], \"s\", [ctx.getVar(\"i\",[])]), ctx.getSignal(\"sel\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"16\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"mux\", [], \"c\", [\"0\",ctx.getVar(\"i\",[])], ctx.getPin(\"table\", [], \"out\", [ctx.getVar(\"i\",[]),\"0\"]));\n ctx.assert(ctx.getPin(\"mux\", [], \"c\", [\"0\",ctx.getVar(\"i\",[])]), ctx.getPin(\"table\", [], \"out\", [ctx.getVar(\"i\",[]),\"0\"]));\n ctx.setPin(\"mux\", [], \"c\", [\"1\",ctx.getVar(\"i\",[])], ctx.getPin(\"table\", [], \"out\", [ctx.getVar(\"i\",[]),\"1\"]));\n ctx.assert(ctx.getPin(\"mux\", [], \"c\", [\"1\",ctx.getVar(\"i\",[])]), ctx.getPin(\"table\", [], \"out\", [ctx.getVar(\"i\",[]),\"1\"]));\n }\n\n }\n ctx.setPin(\"adder\", [], \"x1\", [], ctx.getSignal(\"in\", [\"0\"]));\n ctx.assert(ctx.getPin(\"adder\", [], \"x1\", []), ctx.getSignal(\"in\", [\"0\"]));\n ctx.setPin(\"adder\", [], \"y1\", [], ctx.getSignal(\"in\", [\"1\"]));\n ctx.assert(ctx.getPin(\"adder\", [], \"y1\", []), ctx.getSignal(\"in\", [\"1\"]));\n ctx.setPin(\"adder\", [], \"x2\", [], ctx.getPin(\"mux\", [], \"out\", [\"0\"]));\n ctx.assert(ctx.getPin(\"adder\", [], \"x2\", []), ctx.getPin(\"mux\", [], \"out\", [\"0\"]));\n ctx.setPin(\"adder\", [], \"y2\", [], ctx.getPin(\"mux\", [], \"out\", [\"1\"]));\n ctx.assert(ctx.getPin(\"adder\", [], \"y2\", []), ctx.getPin(\"mux\", [], \"out\", [\"1\"]));\n ctx.setSignal(\"out\", [\"0\"], ctx.getPin(\"adder\", [], \"xout\", []));\n ctx.assert(ctx.getSignal(\"out\", [\"0\"]), ctx.getPin(\"adder\", [], \"xout\", []));\n ctx.setSignal(\"out\", [\"1\"], ctx.getPin(\"adder\", [], \"yout\", []));\n ctx.assert(ctx.getSignal(\"out\", [\"1\"]), ctx.getPin(\"adder\", [], \"yout\", []));\n}\n", - "EscalarMul": "function(ctx) {\n ctx.setVar(\"nBlocks\", [], bigInt(bigInt(\"2\").greater(bigInt(256)) ? 0 : bigInt(bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)).shr(bigInt(\"2\")).and(__MASK__)).add(bigInt(\"1\")).mod(__P__));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"nBlocks\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n }\n\n }\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"nBlocks\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n for (ctx.setVar(\"j\", [], \"0\");bigInt(ctx.getVar(\"j\",[])).lt(bigInt(\"4\")) ? 1 : 0;(ctx.setVar(\"j\", [], bigInt(ctx.getVar(\"j\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n if (bigInt(bigInt(bigInt(ctx.getVar(\"i\",[])).mul(bigInt(\"4\")).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)).greaterOrEquals(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0) {\n {\n ctx.setPin(\"windows\", [ctx.getVar(\"i\",[])], \"sel\", [ctx.getVar(\"j\",[])], \"0\");\n ctx.assert(ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"sel\", [ctx.getVar(\"j\",[])]), \"0\");\n }\n\n } else {\n {\n ctx.setPin(\"windows\", [ctx.getVar(\"i\",[])], \"sel\", [ctx.getVar(\"j\",[])], ctx.getSignal(\"in\", [bigInt(bigInt(ctx.getVar(\"i\",[])).mul(bigInt(\"4\")).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)]));\n ctx.assert(ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"sel\", [ctx.getVar(\"j\",[])]), ctx.getSignal(\"in\", [bigInt(bigInt(ctx.getVar(\"i\",[])).mul(bigInt(\"4\")).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)]));\n }\n\n }\n }\n\n }\n }\n\n }\n ctx.setPin(\"windows\", [\"0\"], \"in\", [\"0\"], ctx.getSignal(\"inp\", [\"0\"]));\n ctx.assert(ctx.getPin(\"windows\", [\"0\"], \"in\", [\"0\"]), ctx.getSignal(\"inp\", [\"0\"]));\n ctx.setPin(\"windows\", [\"0\"], \"in\", [\"1\"], ctx.getSignal(\"inp\", [\"1\"]));\n ctx.assert(ctx.getPin(\"windows\", [\"0\"], \"in\", [\"1\"]), ctx.getSignal(\"inp\", [\"1\"]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"windows\", [bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__)], \"in\", [\"0\"], ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"out\", [\"0\"]));\n ctx.assert(ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__)], \"in\", [\"0\"]), ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"out\", [\"0\"]));\n ctx.setPin(\"windows\", [bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__)], \"in\", [\"1\"], ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"out\", [\"1\"]));\n ctx.assert(ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__)], \"in\", [\"1\"]), ctx.getPin(\"windows\", [ctx.getVar(\"i\",[])], \"out\", [\"1\"]));\n }\n\n }\n ctx.setSignal(\"out\", [\"0\"], ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"0\"]), ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.setSignal(\"out\", [\"1\"], ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"1\"]), ctx.getPin(\"windows\", [bigInt(ctx.getVar(\"nBlocks\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n}\n", - "Pedersen": "function(ctx) {\n ctx.setVar(\"nexps\", [], bigInt(bigInt(bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)).div( bigInt(\"253\"))).add(bigInt(\"1\")).mod(__P__));\n ctx.setVar(\"nlastbits\", [], bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(bigInt(bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)).mul(bigInt(\"253\")).mod(__P__))).mod(__P__));\n ctx.setVar(\"PBASE\", [], [[\"6842263847932328569390632736104801120816056295876316310227967232893658007436\",\"10520112236148895828506510766039255961372323270202387671483666293012156799229\"],[\"7512553369533424708326990019377586455744651641787163924108944444109352325495\",\"242060483180498555826438209654403949979206323274480625257315595534333598496\"],[\"480315709862415282411588615813248553518720286084247594626493599605932342246\",\"15016559215090999873142530067666085992648246670781771102893391410239675444873\"],[\"8311398801616893527636419786153024398643144699386228070202625261657263599049\",\"11125962584728296601438821974884453267303385157860713577195820780853779600315\"],[\"1924118814882677827825936037840538695314492559747259292440881566152665343441\",\"17232376423406964731689089286495480735310130852288107159412732879983310795144\"]]);\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"nexps\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"nexpbits\", [], bigInt((bigInt(ctx.getVar(\"i\",[])).eq(bigInt(bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__))) ? 1 : 0)).neq(bigInt(0)) ? (ctx.getVar(\"nlastbits\",[])) : (\"253\"));\n for (ctx.setVar(\"j\", [], \"0\");bigInt(ctx.getVar(\"j\",[])).lt(bigInt(ctx.getVar(\"nexpbits\",[]))) ? 1 : 0;(ctx.setVar(\"j\", [], bigInt(ctx.getVar(\"j\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"in\", [ctx.getVar(\"j\",[])], ctx.getSignal(\"in\", [bigInt(bigInt(\"253\").mul(bigInt(ctx.getVar(\"i\",[]))).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)]));\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"in\", [ctx.getVar(\"j\",[])]), ctx.getSignal(\"in\", [bigInt(bigInt(\"253\").mul(bigInt(ctx.getVar(\"i\",[]))).mod(__P__)).add(bigInt(ctx.getVar(\"j\",[]))).mod(__P__)]));\n }\n\n }\n if ((bigInt(ctx.getVar(\"i\",[])).eq(bigInt(\"0\")) ? 1 : 0)) {\n {\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"0\"], \"0\");\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"0\"]), \"0\");\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"1\"], \"0\");\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"1\"]), \"0\");\n }\n\n } else {\n {\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"0\"], ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"0\"]), ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.setPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"1\"], ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n ctx.assert(ctx.getPin(\"escalarMuls\", [ctx.getVar(\"i\",[])], \"inp\", [\"1\"]), ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"i\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n }\n\n }\n }\n\n }\n ctx.setSignal(\"out\", [\"0\"], ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"0\"]), ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"0\"]));\n ctx.setSignal(\"out\", [\"1\"], ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"1\"]), ctx.getPin(\"escalarMuls\", [bigInt(ctx.getVar(\"nexps\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)], \"out\", [\"1\"]));\n}\n", - "BinSum": "function(ctx) {\n ctx.setVar(\"nout\", [], ctx.callFunction(\"nbits\", [bigInt(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"n\",[])), __P__)).add(__P__).sub(bigInt(\"1\")).mod(__P__)).mul(bigInt(ctx.getVar(\"ops\",[]))).mod(__P__)]));\n ctx.setVar(\"lin\", [], \"0\");\n ctx.setVar(\"lout\", [], \"0\");\n for (ctx.setVar(\"k\", [], \"0\");bigInt(ctx.getVar(\"k\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"k\", [], bigInt(ctx.getVar(\"k\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n for (ctx.setVar(\"j\", [], \"0\");bigInt(ctx.getVar(\"j\",[])).lt(bigInt(ctx.getVar(\"ops\",[]))) ? 1 : 0;(ctx.setVar(\"j\", [], bigInt(ctx.getVar(\"j\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"lin\", [], bigInt(ctx.getVar(\"lin\",[])).add(bigInt(bigInt(ctx.getSignal(\"in\", [ctx.getVar(\"j\",[]),ctx.getVar(\"k\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"k\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n }\n\n }\n for (ctx.setVar(\"k\", [], \"0\");bigInt(ctx.getVar(\"k\",[])).lt(bigInt(ctx.getVar(\"nout\",[]))) ? 1 : 0;(ctx.setVar(\"k\", [], bigInt(ctx.getVar(\"k\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setSignal(\"out\", [ctx.getVar(\"k\",[])], bigInt(bigInt(ctx.getVar(\"k\",[])).greater(bigInt(256)) ? 0 : bigInt(ctx.getVar(\"lin\",[])).shr(bigInt(ctx.getVar(\"k\",[]))).and(__MASK__)).and(bigInt(\"1\")).and(__MASK__));\n ctx.assert(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"k\",[])])).mul(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"k\",[])])).add(__P__).sub(bigInt(\"1\")).mod(__P__))).mod(__P__), \"0\");\n ctx.setVar(\"lout\", [], bigInt(ctx.getVar(\"lout\",[])).add(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"k\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"k\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n ctx.assert(ctx.getVar(\"lin\",[]), ctx.getVar(\"lout\",[]));\n}\n", - "IsZero": "function(ctx) {\n ctx.setSignal(\"inv\", [], bigInt((bigInt(ctx.getSignal(\"in\", [])).eq(bigInt(\"0\")) ? 0 : 1)).neq(bigInt(0)) ? (bigInt(\"1\").mul( bigInt(ctx.getSignal(\"in\", [])).inverse(__P__) ).mod(__P__)) : (\"0\"));\n ctx.setSignal(\"out\", [], bigInt(bigInt(__P__.sub(bigInt(ctx.getSignal(\"in\", []))).mod(__P__)).mul(bigInt(ctx.getSignal(\"inv\", []))).mod(__P__)).add(bigInt(\"1\")).mod(__P__));\n ctx.assert(ctx.getSignal(\"out\", []), bigInt(bigInt(__P__.sub(bigInt(ctx.getSignal(\"in\", []))).mod(__P__)).mul(bigInt(ctx.getSignal(\"inv\", []))).mod(__P__)).add(bigInt(\"1\")).mod(__P__));\n ctx.assert(bigInt(ctx.getSignal(\"in\", [])).mul(bigInt(ctx.getSignal(\"out\", []))).mod(__P__), \"0\");\n}\n", - "IsEqual": "function(ctx) {\n ctx.setPin(\"isz\", [], \"in\", [], bigInt(ctx.getSignal(\"in\", [\"1\"])).add(__P__).sub(bigInt(ctx.getSignal(\"in\", [\"0\"]))).mod(__P__));\n ctx.assert(ctx.getPin(\"isz\", [], \"in\", []), bigInt(ctx.getSignal(\"in\", [\"1\"])).add(__P__).sub(bigInt(ctx.getSignal(\"in\", [\"0\"]))).mod(__P__));\n ctx.setSignal(\"out\", [], ctx.getPin(\"isz\", [], \"out\", []));\n ctx.assert(ctx.getSignal(\"out\", []), ctx.getPin(\"isz\", [], \"out\", []));\n}\n", - "LessThan": "function(ctx) {\n ctx.setPin(\"num2Bits0\", [], \"in\", [], ctx.getSignal(\"in\", [\"0\"]));\n ctx.assert(ctx.getPin(\"num2Bits0\", [], \"in\", []), ctx.getSignal(\"in\", [\"0\"]));\n ctx.setPin(\"num2Bits1\", [], \"in\", [], ctx.getSignal(\"in\", [\"1\"]));\n ctx.assert(ctx.getPin(\"num2Bits1\", [], \"in\", []), ctx.getSignal(\"in\", [\"1\"]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"adder\", [], \"in\", [\"0\",ctx.getVar(\"i\",[])], ctx.getPin(\"num2Bits0\", [], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"adder\", [], \"in\", [\"0\",ctx.getVar(\"i\",[])]), ctx.getPin(\"num2Bits0\", [], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.setPin(\"adder\", [], \"in\", [\"1\",ctx.getVar(\"i\",[])], ctx.getPin(\"num2Bits1\", [], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"adder\", [], \"in\", [\"1\",ctx.getVar(\"i\",[])]), ctx.getPin(\"num2Bits1\", [], \"out\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n ctx.setSignal(\"out\", [], ctx.getPin(\"adder\", [], \"out\", [bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)]));\n ctx.assert(ctx.getSignal(\"out\", []), ctx.getPin(\"adder\", [], \"out\", [bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)]));\n}\n", - "Num2Bits": "function(ctx) {\n ctx.setVar(\"lc1\", [], \"0\");\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getVar(\"i\",[])).greater(bigInt(256)) ? 0 : bigInt(ctx.getSignal(\"in\", [])).shr(bigInt(ctx.getVar(\"i\",[]))).and(__MASK__)).and(bigInt(\"1\")).and(__MASK__));\n ctx.assert(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).add(__P__).sub(bigInt(\"1\")).mod(__P__))).mod(__P__), \"0\");\n ctx.setVar(\"lc1\", [], bigInt(ctx.getVar(\"lc1\",[])).add(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"i\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n ctx.assert(ctx.getVar(\"lc1\",[]), ctx.getSignal(\"in\", []));\n}\n", - "Bits2Num": "function(ctx) {\n ctx.setVar(\"lc1\", [], \"0\");\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setVar(\"lc1\", [], bigInt(ctx.getVar(\"lc1\",[])).add(bigInt(bigInt(ctx.getSignal(\"in\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"i\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n ctx.setSignal(\"out\", [], ctx.getVar(\"lc1\",[]));\n ctx.assert(ctx.getSignal(\"out\", []), ctx.getVar(\"lc1\",[]));\n}\n", - "Num2BitsNeg": "function(ctx) {\n ctx.setVar(\"lc1\", [], \"0\");\n ctx.setVar(\"neg\", [], bigInt((bigInt(ctx.getVar(\"n\",[])).eq(bigInt(\"0\")) ? 1 : 0)).neq(bigInt(0)) ? (\"0\") : (bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"n\",[])), __P__)).add(__P__).sub(bigInt(ctx.getSignal(\"in\", []))).mod(__P__)));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(ctx.getVar(\"n\",[]))) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setSignal(\"out\", [ctx.getVar(\"i\",[])], bigInt(bigInt(ctx.getVar(\"i\",[])).greater(bigInt(256)) ? 0 : bigInt(ctx.getVar(\"neg\",[])).shr(bigInt(ctx.getVar(\"i\",[]))).and(__MASK__)).and(bigInt(\"1\")).and(__MASK__));\n ctx.assert(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).add(__P__).sub(bigInt(\"1\")).mod(__P__))).mod(__P__), \"0\");\n ctx.setVar(\"lc1\", [], bigInt(ctx.getVar(\"lc1\",[])).add(bigInt(bigInt(ctx.getSignal(\"out\", [ctx.getVar(\"i\",[])])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"i\",[])), __P__))).mod(__P__))).mod(__P__));\n }\n\n }\n ctx.setPin(\"isZero\", [], \"in\", [], ctx.getSignal(\"in\", []));\n ctx.assert(ctx.getPin(\"isZero\", [], \"in\", []), ctx.getSignal(\"in\", []));\n ctx.assert(bigInt(ctx.getVar(\"lc1\",[])).add(bigInt(bigInt(ctx.getPin(\"isZero\", [], \"out\", [])).mul(bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"n\",[])), __P__))).mod(__P__))).mod(__P__), bigInt(bigInt(\"2\").modPow(bigInt(ctx.getVar(\"n\",[])), __P__)).add(__P__).sub(bigInt(ctx.getSignal(\"in\", []))).mod(__P__));\n}\n", - "Main": "function(ctx) {\n ctx.setPin(\"n2b\", [\"0\"], \"in\", [], ctx.getSignal(\"in\", [\"0\"]));\n ctx.assert(ctx.getPin(\"n2b\", [\"0\"], \"in\", []), ctx.getSignal(\"in\", [\"0\"]));\n ctx.setPin(\"n2b\", [\"1\"], \"in\", [], ctx.getSignal(\"in\", [\"1\"]));\n ctx.assert(ctx.getPin(\"n2b\", [\"1\"], \"in\", []), ctx.getSignal(\"in\", [\"1\"]));\n for (ctx.setVar(\"i\", [], \"0\");bigInt(ctx.getVar(\"i\",[])).lt(bigInt(\"253\")) ? 1 : 0;(ctx.setVar(\"i\", [], bigInt(ctx.getVar(\"i\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__)) { \n {\n ctx.setPin(\"pedersen\", [], \"in\", [ctx.getVar(\"i\",[])], ctx.getPin(\"n2b\", [\"0\"], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"pedersen\", [], \"in\", [ctx.getVar(\"i\",[])]), ctx.getPin(\"n2b\", [\"0\"], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.setPin(\"pedersen\", [], \"in\", [bigInt(\"253\").add(bigInt(ctx.getVar(\"i\",[]))).mod(__P__)], ctx.getPin(\"n2b\", [\"1\"], \"out\", [ctx.getVar(\"i\",[])]));\n ctx.assert(ctx.getPin(\"pedersen\", [], \"in\", [bigInt(\"253\").add(bigInt(ctx.getVar(\"i\",[]))).mod(__P__)]), ctx.getPin(\"n2b\", [\"1\"], \"out\", [ctx.getVar(\"i\",[])]));\n }\n\n }\n ctx.setSignal(\"out\", [\"0\"], ctx.getPin(\"pedersen\", [], \"out\", [\"0\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"0\"]), ctx.getPin(\"pedersen\", [], \"out\", [\"0\"]));\n ctx.setSignal(\"out\", [\"1\"], ctx.getPin(\"pedersen\", [], \"out\", [\"1\"]));\n ctx.assert(ctx.getSignal(\"out\", [\"1\"]), ctx.getPin(\"pedersen\", [], \"out\", [\"1\"]));\n}\n" - }, - "functions": { - "pointAdd": { - "params": [ - "x1", - "y1", - "x2", - "y2" - ], - "func": "function(ctx) {\n ctx.setVar(\"a\", [], \"168700\");\n ctx.setVar(\"d\", [], \"168696\");\n ctx.setVar(\"res\", [\"0\"], bigInt(bigInt(bigInt(ctx.getVar(\"x1\",[])).mul(bigInt(ctx.getVar(\"y2\",[]))).mod(__P__)).add(bigInt(bigInt(ctx.getVar(\"y1\",[])).mul(bigInt(ctx.getVar(\"x2\",[]))).mod(__P__))).mod(__P__)).mul( bigInt(bigInt(\"1\").add(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getVar(\"x1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"x2\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"y1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"y2\",[]))).mod(__P__))).mod(__P__)).inverse(__P__) ).mod(__P__));\n ctx.setVar(\"res\", [\"1\"], bigInt(bigInt(bigInt(ctx.getVar(\"y1\",[])).mul(bigInt(ctx.getVar(\"y2\",[]))).mod(__P__)).add(__P__).sub(bigInt(bigInt(bigInt(ctx.getVar(\"a\",[])).mul(bigInt(ctx.getVar(\"x1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"x2\",[]))).mod(__P__))).mod(__P__)).mul( bigInt(bigInt(\"1\").add(__P__).sub(bigInt(bigInt(bigInt(bigInt(bigInt(ctx.getVar(\"d\",[])).mul(bigInt(ctx.getVar(\"x1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"x2\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"y1\",[]))).mod(__P__)).mul(bigInt(ctx.getVar(\"y2\",[]))).mod(__P__))).mod(__P__)).inverse(__P__) ).mod(__P__));\n return ctx.getVar(\"res\",[]);;\n}\n" - }, - "nbits": { - "params": [ - "a" - ], - "func": "function(ctx) {\n ctx.setVar(\"n\", [], \"1\");\n ctx.setVar(\"r\", [], \"0\");\n while (bigInt(bigInt(ctx.getVar(\"n\",[])).add(__P__).sub(bigInt(\"1\")).mod(__P__)).lt(bigInt(ctx.getVar(\"a\",[]))) ? 1 : 0) {\n {\n (ctx.setVar(\"r\", [], bigInt(ctx.getVar(\"r\",[])).add(bigInt(\"1\")).mod(__P__))).add(__P__).sub(bigInt(1)).mod(__P__);\n ctx.setVar(\"n\", [], bigInt(ctx.getVar(\"n\",[])).mul(bigInt(\"2\")).mod(__P__));\n }\n\n }\n return ctx.getVar(\"r\",[]);;\n}\n" - } - }, - "nPrvInputs": 0, - "nPubInputs": 2, - "nInputs": 2, - "nOutputs": 2, - "nVars": 6013, - "nConstants": 4104, - "nSignals": 10117 -} \ No newline at end of file diff --git a/circuits/bitify.circom b/circuits/bitify.circom index b701f93..2050e13 100644 --- a/circuits/bitify.circom +++ b/circuits/bitify.circom @@ -18,6 +18,7 @@ */ include "comparators.circom"; +include "aliascheck.circom"; template Num2Bits(n) { @@ -32,7 +33,20 @@ template Num2Bits(n) { } lc1 === in; +} +template Num2Bits_strict() { + signal input in; + signal output out[254]; + + component aliasCheck = AliasCheck(); + component n2b = Num2Bits(254); + in ==> n2b.in; + + for (var i=0; i<254; i++) { + n2b.out[i] ==> out[i]; + n2b.out[i] ==> aliasCheck.in[i]; + } } template Bits2Num(n) { @@ -47,6 +61,21 @@ template Bits2Num(n) { lc1 ==> out; } +template Bits2Num_strict() { + signal input in[n]; + signal output out; + + component aliasCheck = AliasCheck(); + component b2n = Bits2Num(254); + + for (var i=0; i<254; i++) { + in[i] ==> b2n.in[i]; + in[i] ==> aliasCheck.in[i]; + } + + b2n.out ==> out; +} + template Num2BitsNeg(n) { signal input in; signal output out[n]; diff --git a/circuits/smt/smthash.circom b/circuits/smt/smthash.circom new file mode 100644 index 0000000..a30311d --- /dev/null +++ b/circuits/smt/smthash.circom @@ -0,0 +1,48 @@ +include "../mimc.circom"; + + +/* + Hash1 = H(1 | key | value) + */ + +template SMTHash1() { + signal input key; + signal input value; + signal output out; + + component h1 = MiMC7(91); // Constant + h1.x_in <== 0; + h1.k <== 1; + + component h2 = MiMC7(91); + h2.x_in <== h1.out; + h2.k <== key; + + component h3 = MiMC7(91); + h3.x_in <== h2.out; + h3.k <== value; + + out <== h3.out; +} + +/* + This component is used to create the 2 nodes. + + Hash2 = H(Hl | Hr) + */ + +template SMTHash2() { + signal input L; + signal input R; + signal output out; + + component h1 = MiMC7(91); + h1.x_in <== 0; + h1.k <== L; + + component h2 = MiMC7(91); + h2.x_in <== h1.out; + h2.k <== R; + + out <== h2.out; +} diff --git a/circuits/smt/smtinsert.circom b/circuits/smt/smtinsert.circom index 2df4d1c..e6c940b 100644 --- a/circuits/smt/smtinsert.circom +++ b/circuits/smt/smtinsert.circom @@ -96,65 +96,72 @@ Insert to a used leaf. ***************************************************************************************************/ -include "../node_modules/circom/circuits/gates.circom"; -include "../node_modules/circom/circuits/bitify.circom"; +include "../gates.circom"; +include "../bitify.circom"; +include "../comparators.circom"; +include "../switcher.circom"; +include "smtlevins.circom"; +include "smtinsertlevel.circom"; +include "smtinsertsm.circom"; +include "smthash.circom"; template SMTInsert(nLevels) { signal input oldRoot; signal input newRoot; signal input siblings[nLevels]; - signal input oldHKey; - signal input oldHValue; - signal input newHKey; - signal input newHValue; + signal input oldKey; + signal input oldValue; + signal input isOld0; + signal input newKey; + signal input newValue; component hash1Old = SMTHash1(); - hash1Old.l <== oldHKey; - hash1Old.r <== oldHValue; + hash1Old.key <== oldKey; + hash1Old.value <== oldValue; component hash1New = SMTHash1(); - hash1New.l <== newHKey; - hash1New.r <== newHValue; + hash1New.key <== newKey; + hash1New.value <== newValue; - component n2bOld = Num2BinStrinct(); - component n2bNew = Num2BinStrinct(); + component n2bOld = Num2Bits_strict(); + component n2bNew = Num2Bits_strict(); - component dmtLevIns = SMTLevIns(nLevels); - for (var i=0; i=0; i--) { + if (newKeyBits[i]) { + rt = smtHash([res.sibblings[i], rt]); + inserts.push([rt,[res.sibblings[i], rt]] ); + } else { + rt = smtHash([rt, res.sibblings[i]]); + inserts.push([rt,[rt, res.sibblings[i]]] ); + } + } + + if (addedOne) res.sibblings.pop(); + while ((res.sibblings.length>0) && (res.sibblings[res.sibblings.length-1].isZero())) { + res.sibblings.pop(); + } + res.oldKey = resFind.notFoundKey; + res.oldValue = resFind.notFoundValue; + res.newRoot = rt; + res.isOld0 = resFind.isOld0; + + this.root = rt; + + await this.db.save(rt, inserts); + + return res; + } + + async find(key) { + const keyBits = this._splitBits(key); + return await this._find(key, keyBits, this.root, 0); + } + + async _find(key, keyBits, root, level) { + if (typeof root === "undefined") root = this.root; + + let res; + if (root.isZero()) { + res = { + found: false, + sibblings: [], + notFoundKey: key, + notFoundValue: bigInt.zero, + isOld0: true + }; + return res; + } + + const record = await this.db.get(root); + + if ((record.length==3)&&(record[0].equals(bigInt.one))) { + if (record[1].equals(key)) { + res = { + found: true, + sibblings: [], + foundValue: record[2], + isOld0: false + }; + } else { + res = { + found: false, + sibblings: [], + notFoundKey: record[1], + notFoundValue: record[2], + isOld0: false + }; + } + } else { + if (keyBits[level] == 0) { + const res = await this.find(key, keyBits, record[1], level+1); + res.sibblings.unshift(record[2]); + } else { + res = await this.find(key, keyBits, record[2], level+1); + res.sibblings.unshift(record[1]); + } + } + return res; + } +} + +async function loadFromFile(fileName) { + +} + +async function newMemEmptyTrie() { + const db = new SMTMemDB(); + const rt = await db.getRoot(); + const smt = new SMT(db, rt); + return smt; +} + +module.exports.loadFromFile = loadFromFile; +module.exports.newMemEmptyTrie = newMemEmptyTrie; diff --git a/src/smt_memdb.js b/src/smt_memdb.js new file mode 100644 index 0000000..db621ec --- /dev/null +++ b/src/smt_memdb.js @@ -0,0 +1,31 @@ +const bigInt = require("snarkjs").bigInt; + +class SMTMemDb { + constructor() { + this.nodes = {}; + this.root = bigInt(0); + } + + async getRoot() { + return this.root; + } + + async get(key) { + const res = []; + const keyS = bigInt(key).leInt2Buff(32).toString("hex"); + for (let i=0; i { + const cirDef = await compiler(path.join(__dirname, "circuits", "smtinsert10_test.circom")); + + circuit = new snarkjs.Circuit(cirDef); + + console.log("NConstrains SMTInsert: " + circuit.nConstraints); + + tree = await smt.newMemEmptyTrie(); + }); + + it("Should verify an insert to an empty tree", async () => { + const key = bigInt(111); + const value = bigInt(222); + + const res = await tree.insert(key,value); + let siblings = res.sibblings; + while (siblings.length<10) siblings.push(bigInt(0)); + + const w = circuit.calculateWitness({ + oldRoot: res.oldRoot, + newRoot: res.newRoot, + siblings: siblings, + oldKey: res.oldKey, + oldValue: res.oldValue, + isOld0: res.isOld0 ? 1 : 0, + newKey: key, + newValue: value + }); + + const root1 = w[circuit.getSignalIdx("main.levels[0].newRoot")]; + + console.log("root1: " + root1.toString()); + console.log("root2: " + res.newRoot.toString()); + assert(root1.equals(res.newRoot)); + + assert(circuit.checkWitness(w)); + }); + + it("It should add another element", async () => { + const key = bigInt(333); + const value = bigInt(444); + + const res = await tree.insert(key,value); + let siblings = res.sibblings; + while (siblings.length<10) siblings.push(bigInt(0)); + + const w = circuit.calculateWitness({ + oldRoot: res.oldRoot, + newRoot: res.newRoot, + siblings: siblings, + oldKey: res.oldKey, + oldValue: res.oldValue, + isOld0: res.isOld0 ? 1 : 0, + newKey: key, + newValue: value + }); + + const root1 = w[circuit.getSignalIdx("main.levels[0].newRoot")]; + + console.log("root1: " + root1.toString()); + console.log("root2: " + res.newRoot.toString()); + assert(root1.equals(res.newRoot)); + + assert(circuit.checkWitness(w)); + }); +});