/* * 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 test_cmp(uint32_t a, uint32_t b) { ezMiniSAT sat; printf("A = %10u (%10d)\n", a, int32_t(a)); printf("B = %10u (%10d)\n", b, int32_t(b)); printf("\n"); std::vector va = sat.vec_var("a", 32); std::vector vb = sat.vec_var("b", 32); sat.vec_set_unsigned(va, a); sat.vec_set_unsigned(vb, b); #define MONITOR_VARS \ X(carry) X(overflow) X(sign) X(zero) \ X(lt_signed) X(le_signed) X(ge_signed) X(gt_signed) \ X(lt_unsigned) X(le_unsigned) X(ge_unsigned) X(gt_unsigned) #define X(_n) int _n; bool _n ## _master; MONITOR_VARS #undef X carry_master = ((uint64_t(a) - uint64_t(b)) >> 32) & 1; overflow_master = (int32_t(a) - int32_t(b)) != (int64_t(int32_t(a)) - int64_t(int32_t(b))); sign_master = ((a - b) >> 31) & 1; zero_master = a == b; sat.vec_cmp(va, vb, carry, overflow, sign, zero); lt_signed_master = int32_t(a) < int32_t(b); le_signed_master = int32_t(a) <= int32_t(b); ge_signed_master = int32_t(a) >= int32_t(b); gt_signed_master = int32_t(a) > int32_t(b); lt_unsigned_master = a < b; le_unsigned_master = a <= b; ge_unsigned_master = a >= b; gt_unsigned_master = a > b; lt_signed = sat.vec_lt_signed(va, vb); le_signed = sat.vec_le_signed(va, vb); ge_signed = sat.vec_ge_signed(va, vb); gt_signed = sat.vec_gt_signed(va, vb); lt_unsigned = sat.vec_lt_unsigned(va, vb); le_unsigned = sat.vec_le_unsigned(va, vb); ge_unsigned = sat.vec_ge_unsigned(va, vb); gt_unsigned = sat.vec_gt_unsigned(va, vb); std::vector modelExpressions; std::vector modelValues, modelMaster; std::vector modelNames; #define X(_n) modelExpressions.push_back(_n); modelNames.push_back(#_n); modelMaster.push_back(_n ## _master); MONITOR_VARS #undef X std::vector add_ab = sat.vec_add(va, vb); std::vector sub_ab = sat.vec_sub(va, vb); std::vector sub_ba = sat.vec_sub(vb, va); sat.vec_append(modelExpressions, add_ab); sat.vec_append(modelExpressions, sub_ab); sat.vec_append(modelExpressions, sub_ba); if (!sat.solve(modelExpressions, modelValues)) { fprintf(stderr, "SAT solver failed to find a model!\n"); abort(); } bool found_error = false; for (size_t i = 0; i < modelMaster.size(); i++) { if (modelMaster.at(i) != int(modelValues.at(i))) found_error = true; printf("%-20s %d%s\n", modelNames.at(i).c_str(), int(modelValues.at(i)), modelMaster.at(i) != modelValues.at(i) ? " !!!" : ""); } printf("\n"); uint32_t add_ab_value = sat.vec_model_get_unsigned(modelExpressions, modelValues, add_ab); uint32_t sub_ab_value = sat.vec_model_get_unsigned(modelExpressions, modelValues, sub_ab); uint32_t sub_ba_value = sat.vec_model_get_unsigned(modelExpressions, modelValues, sub_ba); printf("%-20s %10u %10u%s\n", "result(a+b)", add_ab_value, a+b, add_ab_value != a+b ? " !!!" : ""); printf("%-20s %10u %10u%s\n", "result(a-b)", sub_ab_value, a-b, sub_ab_value != a-b ? " !!!" : ""); printf("%-20s %10u %10u%s\n", "result(b-a)", sub_ba_value, b-a, sub_ba_value != b-a ? " !!!" : ""); printf("\n"); if (found_error || add_ab_value != a+b || sub_ab_value != a-b || sub_ba_value != b-a) abort(); } int main() { printf("\n"); for (int i = 0; i < 1024; i++) { printf("************** %d **************\n\n", i); uint32_t a = xorshift128(); uint32_t b = xorshift128(); if (xorshift128() % 16 == 0) a = b; test_cmp(a, b); } return 0; }