/* * ezSAT -- A simple and easy to use CNF generator for SAT solvers * * Copyright (C) 2013 Claire Xenia Wolf * * Permission to use, copy, modify, and/or distribute this software for any * purpose with or without fee is hereby granted, provided that the above * copyright notice and this permission notice appear in all copies. * * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. * */ #include "ezminisat.h" #include #include #define INIT_X 123456789 #define INIT_Y 362436069 #define INIT_Z 521288629 #define INIT_W 88675123 uint32_t xorshift128() { static uint32_t x = INIT_X; static uint32_t y = INIT_Y; static uint32_t z = INIT_Z; static uint32_t w = INIT_W; uint32_t t = x ^ (x << 11); x = y; y = z; z = w; w ^= (w >> 19) ^ t ^ (t >> 8); return w; } void xorshift128_sat(ezSAT &sat, std::vector &x, std::vector &y, std::vector &z, std::vector &w) { std::vector t = sat.vec_xor(x, sat.vec_shl(x, 11)); x = y; y = z; z = w; w = sat.vec_xor(sat.vec_xor(w, sat.vec_shr(w, 19)), sat.vec_xor(t, sat.vec_shr(t, 8))); } void find_xorshift128_init_state(uint32_t &x, uint32_t &y, uint32_t &z, uint32_t &w, uint32_t w1, uint32_t w2, uint32_t w3, uint32_t w4) { ezMiniSAT sat; std::vector vx = sat.vec_var("x", 32); std::vector vy = sat.vec_var("y", 32); std::vector vz = sat.vec_var("z", 32); std::vector vw = sat.vec_var("w", 32); xorshift128_sat(sat, vx, vy, vz, vw); sat.vec_set_unsigned(vw, w1); xorshift128_sat(sat, vx, vy, vz, vw); sat.vec_set_unsigned(vw, w2); xorshift128_sat(sat, vx, vy, vz, vw); sat.vec_set_unsigned(vw, w3); xorshift128_sat(sat, vx, vy, vz, vw); sat.vec_set_unsigned(vw, w4); std::vector modelExpressions; std::vector modelValues; sat.vec_append(modelExpressions, sat.vec_var("x", 32)); sat.vec_append(modelExpressions, sat.vec_var("y", 32)); sat.vec_append(modelExpressions, sat.vec_var("z", 32)); sat.vec_append(modelExpressions, sat.vec_var("w", 32)); // sat.printDIMACS(stdout); if (!sat.solve(modelExpressions, modelValues)) { fprintf(stderr, "SAT solver failed to find a model!\n"); abort(); } x = sat.vec_model_get_unsigned(modelExpressions, modelValues, sat.vec_var("x", 32)); y = sat.vec_model_get_unsigned(modelExpressions, modelValues, sat.vec_var("y", 32)); z = sat.vec_model_get_unsigned(modelExpressions, modelValues, sat.vec_var("z", 32)); w = sat.vec_model_get_unsigned(modelExpressions, modelValues, sat.vec_var("w", 32)); } int main() { uint32_t w1 = xorshift128(); uint32_t w2 = xorshift128(); uint32_t w3 = xorshift128(); uint32_t w4 = xorshift128(); uint32_t x, y, z, w; printf("\n"); find_xorshift128_init_state(x, y, z, w, w1, w2, w3, w4); printf("x = %9u (%s)\n", (unsigned int)x, x == INIT_X ? "ok" : "ERROR"); printf("y = %9u (%s)\n", (unsigned int)y, y == INIT_Y ? "ok" : "ERROR"); printf("z = %9u (%s)\n", (unsigned int)z, z == INIT_Z ? "ok" : "ERROR"); printf("w = %9u (%s)\n", (unsigned int)w, w == INIT_W ? "ok" : "ERROR"); if (x != INIT_X || y != INIT_Y || z != INIT_Z || w != INIT_W) abort(); printf("\n"); return 0; }