#include #include #include #include #include #include #include #include #include #include #include "llmsset.h" #include "sylvan.h" #include "test_assert.h" __thread uint64_t seed = 1; uint64_t xorshift_rand(void) { uint64_t x = seed; if (seed == 0) seed = rand(); x ^= x >> 12; x ^= x << 25; x ^= x >> 27; seed = x; return x * 2685821657736338717LL; } double uniform_deviate(uint64_t seed) { return seed * (1.0 / (0xffffffffffffffffL + 1.0)); } int rng(int low, int high) { return low + uniform_deviate(xorshift_rand()) * (high-low); } static inline BDD make_random(int i, int j) { if (i == j) return rng(0, 2) ? sylvan_true : sylvan_false; BDD yes = make_random(i+1, j); BDD no = make_random(i+1, j); BDD result = sylvan_invalid; switch(rng(0, 4)) { case 0: result = no; sylvan_deref(yes); break; case 1: result = yes; sylvan_deref(no); break; case 2: result = sylvan_ref(sylvan_makenode(i, yes, no)); sylvan_deref(no); sylvan_deref(yes); break; case 3: default: result = sylvan_ref(sylvan_makenode(i, no, yes)); sylvan_deref(no); sylvan_deref(yes); break; } return result; } int testEqual(BDD a, BDD b) { if (a == b) return 1; if (a == sylvan_invalid) { fprintf(stderr, "a is invalid!\n"); return 0; } if (b == sylvan_invalid) { fprintf(stderr, "b is invalid!\n"); return 0; } fprintf(stderr, "a and b are not equal!\n"); sylvan_fprint(stderr, a);fprintf(stderr, "\n"); sylvan_fprint(stderr, b);fprintf(stderr, "\n"); return 0; } int test_bdd() { test_assert(sylvan_makenode(sylvan_ithvar(1), sylvan_true, sylvan_true) == sylvan_not(sylvan_makenode(sylvan_ithvar(1), sylvan_false, sylvan_false))); test_assert(sylvan_makenode(sylvan_ithvar(1), sylvan_false, sylvan_true) == sylvan_not(sylvan_makenode(sylvan_ithvar(1), sylvan_true, sylvan_false))); test_assert(sylvan_makenode(sylvan_ithvar(1), sylvan_true, sylvan_false) == sylvan_not(sylvan_makenode(sylvan_ithvar(1), sylvan_false, sylvan_true))); test_assert(sylvan_makenode(sylvan_ithvar(1), sylvan_false, sylvan_false) == sylvan_not(sylvan_makenode(sylvan_ithvar(1), sylvan_true, sylvan_true))); return 0; } int test_cube() { LACE_ME; BDDSET vars = sylvan_set_fromarray(((BDDVAR[]){1,2,3,4,6,8}), 6); uint8_t cube[6], check[6]; int i, j; for (i=0;i<6;i++) cube[i] = rng(0,3); BDD bdd = sylvan_cube(vars, cube); sylvan_sat_one(bdd, vars, check); for (i=0; i<6;i++) test_assert(cube[i] == check[i] || (cube[i] == 2 && check[i] == 0)); BDD picked = sylvan_pick_cube(bdd); test_assert(testEqual(sylvan_and(picked, bdd), picked)); BDD t1 = sylvan_cube(vars, ((uint8_t[]){1,1,2,2,0,0})); BDD t2 = sylvan_cube(vars, ((uint8_t[]){1,1,1,0,0,2})); test_assert(testEqual(sylvan_union_cube(t1, vars, ((uint8_t[]){1,1,1,0,0,2})), sylvan_or(t1, t2))); t2 = sylvan_cube(vars, ((uint8_t[]){2,2,2,1,1,0})); test_assert(testEqual(sylvan_union_cube(t1, vars, ((uint8_t[]){2,2,2,1,1,0})), sylvan_or(t1, t2))); t2 = sylvan_cube(vars, ((uint8_t[]){1,1,1,0,0,0})); test_assert(testEqual(sylvan_union_cube(t1, vars, ((uint8_t[]){1,1,1,0,0,0})), sylvan_or(t1, t2))); bdd = make_random(1, 16); for (j=0;j<10;j++) { for (i=0;i<6;i++) cube[i] = rng(0,3); BDD c = sylvan_cube(vars, cube); test_assert(sylvan_union_cube(bdd, vars, cube) == sylvan_or(bdd, c)); } for (i=0;i<10;i++) { picked = sylvan_pick_cube(bdd); test_assert(testEqual(sylvan_and(picked, bdd), picked)); } return 0; } static int test_operators() { // We need to test: xor, and, or, nand, nor, imp, biimp, invimp, diff, less LACE_ME; //int i; BDD a = sylvan_ithvar(1); BDD b = sylvan_ithvar(2); BDD one = make_random(1, 12); BDD two = make_random(6, 24); // Test or test_assert(testEqual(sylvan_or(a, b), sylvan_makenode(1, b, sylvan_true))); test_assert(testEqual(sylvan_or(a, b), sylvan_or(b, a))); test_assert(testEqual(sylvan_or(one, two), sylvan_or(two, one))); // Test and test_assert(testEqual(sylvan_and(a, b), sylvan_makenode(1, sylvan_false, b))); test_assert(testEqual(sylvan_and(a, b), sylvan_and(b, a))); test_assert(testEqual(sylvan_and(one, two), sylvan_and(two, one))); // Test xor test_assert(testEqual(sylvan_xor(a, b), sylvan_makenode(1, b, sylvan_not(b)))); test_assert(testEqual(sylvan_xor(a, b), sylvan_xor(a, b))); test_assert(testEqual(sylvan_xor(a, b), sylvan_xor(b, a))); test_assert(testEqual(sylvan_xor(one, two), sylvan_xor(two, one))); test_assert(testEqual(sylvan_xor(a, b), sylvan_ite(a, sylvan_not(b), b))); // Test diff test_assert(testEqual(sylvan_diff(a, b), sylvan_diff(a, b))); test_assert(testEqual(sylvan_diff(a, b), sylvan_diff(a, sylvan_and(a, b)))); test_assert(testEqual(sylvan_diff(a, b), sylvan_and(a, sylvan_not(b)))); test_assert(testEqual(sylvan_diff(a, b), sylvan_ite(b, sylvan_false, a))); test_assert(testEqual(sylvan_diff(one, two), sylvan_diff(one, two))); test_assert(testEqual(sylvan_diff(one, two), sylvan_diff(one, sylvan_and(one, two)))); test_assert(testEqual(sylvan_diff(one, two), sylvan_and(one, sylvan_not(two)))); test_assert(testEqual(sylvan_diff(one, two), sylvan_ite(two, sylvan_false, one))); // Test biimp test_assert(testEqual(sylvan_biimp(a, b), sylvan_makenode(1, sylvan_not(b), b))); test_assert(testEqual(sylvan_biimp(a, b), sylvan_biimp(b, a))); test_assert(testEqual(sylvan_biimp(one, two), sylvan_biimp(two, one))); // Test nand / and test_assert(testEqual(sylvan_not(sylvan_and(a, b)), sylvan_nand(b, a))); test_assert(testEqual(sylvan_not(sylvan_and(one, two)), sylvan_nand(two, one))); // Test nor / or test_assert(testEqual(sylvan_not(sylvan_or(a, b)), sylvan_nor(b, a))); test_assert(testEqual(sylvan_not(sylvan_or(one, two)), sylvan_nor(two, one))); // Test xor / biimp test_assert(testEqual(sylvan_xor(a, b), sylvan_not(sylvan_biimp(b, a)))); test_assert(testEqual(sylvan_xor(one, two), sylvan_not(sylvan_biimp(two, one)))); // Test imp test_assert(testEqual(sylvan_imp(a, b), sylvan_ite(a, b, sylvan_true))); test_assert(testEqual(sylvan_imp(one, two), sylvan_ite(one, two, sylvan_true))); test_assert(testEqual(sylvan_imp(one, two), sylvan_not(sylvan_diff(one, two)))); test_assert(testEqual(sylvan_invimp(one, two), sylvan_not(sylvan_less(one, two)))); test_assert(testEqual(sylvan_imp(a, b), sylvan_invimp(b, a))); test_assert(testEqual(sylvan_imp(one, two), sylvan_invimp(two, one))); return 0; } int test_relprod() { LACE_ME; BDDVAR vars[] = {0,2,4}; BDDVAR all_vars[] = {0,1,2,3,4,5}; BDDSET vars_set = sylvan_set_fromarray(vars, 3); BDDSET all_vars_set = sylvan_set_fromarray(all_vars, 6); BDD s, t, next, prev; BDD zeroes, ones; // transition relation: 000 --> 111 and !000 --> 000 t = sylvan_false; t = sylvan_union_cube(t, all_vars_set, ((uint8_t[]){0,1,0,1,0,1})); t = sylvan_union_cube(t, all_vars_set, ((uint8_t[]){1,0,2,0,2,0})); t = sylvan_union_cube(t, all_vars_set, ((uint8_t[]){2,0,1,0,2,0})); t = sylvan_union_cube(t, all_vars_set, ((uint8_t[]){2,0,2,0,1,0})); s = sylvan_cube(vars_set, (uint8_t[]){0,0,1}); zeroes = sylvan_cube(vars_set, (uint8_t[]){0,0,0}); ones = sylvan_cube(vars_set, (uint8_t[]){1,1,1}); next = sylvan_relnext(s, t, all_vars_set); prev = sylvan_relprev(t, next, all_vars_set); test_assert(next == zeroes); test_assert(prev == sylvan_not(zeroes)); next = sylvan_relnext(next, t, all_vars_set); prev = sylvan_relprev(t, next, all_vars_set); test_assert(next == ones); test_assert(prev == zeroes); t = sylvan_cube(all_vars_set, (uint8_t[]){0,0,0,0,0,1}); test_assert(sylvan_relprev(t, s, all_vars_set) == zeroes); test_assert(sylvan_relprev(t, sylvan_not(s), all_vars_set) == sylvan_false); test_assert(sylvan_relnext(s, t, all_vars_set) == sylvan_false); test_assert(sylvan_relnext(zeroes, t, all_vars_set) == s); t = sylvan_cube(all_vars_set, (uint8_t[]){0,0,0,0,0,2}); test_assert(sylvan_relprev(t, s, all_vars_set) == zeroes); test_assert(sylvan_relprev(t, zeroes, all_vars_set) == zeroes); test_assert(sylvan_relnext(sylvan_not(zeroes), t, all_vars_set) == sylvan_false); return 0; } int test_compose() { LACE_ME; BDD a = sylvan_ithvar(1); BDD b = sylvan_ithvar(2); BDD a_or_b = sylvan_or(a, b); BDD one = make_random(3, 16); BDD two = make_random(8, 24); BDDMAP map = sylvan_map_empty(); map = sylvan_map_add(map, 1, one); map = sylvan_map_add(map, 2, two); test_assert(sylvan_map_key(map) == 1); test_assert(sylvan_map_value(map) == one); test_assert(sylvan_map_key(sylvan_map_next(map)) == 2); test_assert(sylvan_map_value(sylvan_map_next(map)) == two); test_assert(testEqual(one, sylvan_compose(a, map))); test_assert(testEqual(two, sylvan_compose(b, map))); test_assert(testEqual(sylvan_or(one, two), sylvan_compose(a_or_b, map))); map = sylvan_map_add(map, 2, one); test_assert(testEqual(sylvan_compose(a_or_b, map), one)); map = sylvan_map_add(map, 1, two); test_assert(testEqual(sylvan_or(one, two), sylvan_compose(a_or_b, map))); test_assert(testEqual(sylvan_and(one, two), sylvan_compose(sylvan_and(a, b), map))); return 0; } int runtests() { // we are not testing garbage collection sylvan_gc_disable(); if (test_bdd()) return 1; for (int j=0;j<10;j++) if (test_cube()) return 1; for (int j=0;j<10;j++) if (test_relprod()) return 1; for (int j=0;j<10;j++) if (test_compose()) return 1; for (int j=0;j<10;j++) if (test_operators()) return 1; return 0; } int main() { // Standard Lace initialization with 1 worker lace_init(1, 0); lace_startup(0, NULL, NULL); // Simple Sylvan initialization, also initialize BDD support sylvan_init_package(1LL<<20, 1LL<<20, 1LL<<16, 1LL<<16); sylvan_init_bdd(1); int res = runtests(); sylvan_quit(); lace_exit(); return res; }