#include <stdio.h> #include <stdint.h> #include <stdlib.h> #include <string.h> #include <pthread.h> #include <unistd.h> #include <time.h> #include <sys/types.h> #include <sys/time.h> #include <inttypes.h> #include "sylvan.h" #include "test_assert.h" #include "sylvan_int.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 int test_cache() { test_assert(cache_getused() == 0); /** * Test cache for large number of random entries */ size_t number_add = 4000000; uint64_t *arr = (uint64_t*)malloc(sizeof(uint64_t)*4*number_add); for (size_t i=0; i<number_add*4; i++) arr[i] = xorshift_rand(); for (size_t i=0; i<number_add; i++) { test_assert(cache_put(arr[4*i], arr[4*i+1], arr[4*i+2], arr[4*i+3])); uint64_t val; int res = cache_get(arr[4*i], arr[4*i+1], arr[4*i+2], &val); test_assert(res == 1); test_assert(val == arr[4*i+3]); } size_t count = 0; for (size_t i=0; i<number_add; i++) { uint64_t val; int res = cache_get(arr[4*i], arr[4*i+1], arr[4*i+2], &val); test_assert(res == 0 || val == arr[4*i+3]); if (res) count++; } test_assert(count == cache_getused()); /** * Now also test for double entries */ for (size_t i=0; i<number_add/2; i++) { test_assert(cache_put6(arr[8*i], arr[8*i+1], arr[8*i+2], arr[8*i+3], arr[8*i+4], arr[8*i+5], arr[8*i+6], arr[8*i+7])); uint64_t val1, val2; int res = cache_get6(arr[8*i], arr[8*i+1], arr[8*i+2], arr[8*i+3], arr[8*i+4], arr[8*i+5], &val1, &val2); test_assert(res == 1); test_assert(val1 == arr[8*i+6]); test_assert(val2 == arr[8*i+7]); } for (size_t i=0; i<number_add/2; i++) { uint64_t val1, val2; int res = cache_get6(arr[8*i], arr[8*i+1], arr[8*i+2], arr[8*i+3], arr[8*i+4], arr[8*i+5], &val1, &val2); test_assert(res == 0 || (val1 == arr[8*i+6] && val2 == arr[8*i+7])); } /** * And test that single entries are not corrupted */ for (size_t i=0; i<number_add; i++) { uint64_t val; int res = cache_get(arr[4*i], arr[4*i+1], arr[4*i+2], &val); test_assert(res == 0 || val == arr[4*i+3]); } /** * TODO: multithreaded test */ free(arr); return 0; } 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; } static MDD make_random_ldd_set(int depth, int maxvalue, int elements) { uint32_t values[depth]; MDD result = mtbdd_false; // empty set for (int i=0; i<elements; i++) { lddmc_refs_push(result); for (int j=0; j<depth; j++) { values[j] = rng(0, maxvalue); } result = lddmc_union_cube(result, values, depth); lddmc_refs_pop(1); } 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; const 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_single = sylvan_pick_single_cube(bdd, vars); test_assert(testEqual(sylvan_and(picked_single, bdd), picked_single)); assert(sylvan_satcount(picked_single, vars)==1); 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)); } // simple test for mtbdd_enum_all uint8_t arr[6]; MTBDD leaf = mtbdd_enum_all_first(mtbdd_true, vars, arr, NULL); test_assert(leaf == mtbdd_true); test_assert(mtbdd_enum_all_first(mtbdd_true, vars, arr, NULL) == mtbdd_true); test_assert(arr[0] == 0 && arr[1] == 0 && arr[2] == 0 && arr[3] == 0 && arr[4] == 0 && arr[5] == 0); test_assert(mtbdd_enum_all_next(mtbdd_true, vars, arr, NULL) == mtbdd_true); test_assert(arr[0] == 0 && arr[1] == 0 && arr[2] == 0 && arr[3] == 0 && arr[4] == 0 && arr[5] == 1); test_assert(mtbdd_enum_all_next(mtbdd_true, vars, arr, NULL) == mtbdd_true); test_assert(arr[0] == 0 && arr[1] == 0 && arr[2] == 0 && arr[3] == 0 && arr[4] == 1 && arr[5] == 0); test_assert(mtbdd_enum_all_next(mtbdd_true, vars, arr, NULL) == mtbdd_true); test_assert(arr[0] == 0 && arr[1] == 0 && arr[2] == 0 && arr[3] == 0 && arr[4] == 1 && arr[5] == 1); test_assert(mtbdd_enum_all_next(mtbdd_true, vars, arr, NULL) == mtbdd_true); test_assert(arr[0] == 0 && arr[1] == 0 && arr[2] == 0 && arr[3] == 1 && arr[4] == 0 && arr[5] == 0); test_assert(mtbdd_enum_all_next(mtbdd_true, vars, arr, NULL) == mtbdd_true); test_assert(arr[0] == 0 && arr[1] == 0 && arr[2] == 0 && arr[3] == 1 && arr[4] == 0 && arr[5] == 1); test_assert(mtbdd_enum_all_next(mtbdd_true, vars, arr, NULL) == mtbdd_true); test_assert(arr[0] == 0 && arr[1] == 0 && arr[2] == 0 && arr[3] == 1 && arr[4] == 1 && arr[5] == 0); mtbdd_enum_all_first(mtbdd_true, vars, arr, NULL); size_t count = 1; while (mtbdd_enum_all_next(mtbdd_true, vars, arr, NULL) != mtbdd_false) { test_assert(count < 64); count++; } test_assert(count == 64); 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))); // test that composing [0:=true] on "0" yields true map = sylvan_map_add(sylvan_map_empty(), 1, sylvan_true); test_assert(testEqual(sylvan_compose(a, map), sylvan_true)); // test that composing [0:=false] on "0" yields false map = sylvan_map_add(sylvan_map_empty(), 1, sylvan_false); test_assert(testEqual(sylvan_compose(a, map), sylvan_false)); return 0; } int test_ldd() { // very basic testing of makenode for (int i=0; i<10; i++) { uint32_t value = rng(0, 100); MDD m = lddmc_makenode(value, lddmc_true, lddmc_false); test_assert(lddmc_getvalue(m) == value); test_assert(lddmc_getdown(m) == lddmc_true); test_assert(lddmc_getright(m) == lddmc_false); test_assert(lddmc_iscopy(m) == 0); test_assert(lddmc_follow(m, value) == lddmc_true); for (int j=0; j<100; j++) { uint32_t other_value = rng(0, 100); if (value != other_value) test_assert(lddmc_follow(m, other_value) == lddmc_false); } } // test handling of the copy node by primitives MDD m = lddmc_make_copynode(lddmc_true, lddmc_false); test_assert(lddmc_iscopy(m) == 1); test_assert(lddmc_getvalue(m) == 0); test_assert(lddmc_getdown(m) == lddmc_true); test_assert(lddmc_getright(m) == lddmc_false); m = lddmc_extendnode(m, 0, lddmc_true); test_assert(lddmc_iscopy(m) == 1); test_assert(lddmc_getvalue(m) == 0); test_assert(lddmc_getdown(m) == lddmc_true); test_assert(lddmc_getright(m) != lddmc_false); test_assert(lddmc_follow(m, 0) == lddmc_true); test_assert(lddmc_getvalue(lddmc_getright(m)) == 0); test_assert(lddmc_iscopy(lddmc_getright(m)) == 0); test_assert(lddmc_makenode(0, lddmc_true, lddmc_false) == lddmc_getright(m)); LACE_ME; // test union_cube for (int i=0; i<100; i++) { int depth = rng(1, 6); int elements = rng(1, 30); m = make_random_ldd_set(depth, 10, elements); assert(m != lddmc_true); assert(m != lddmc_false); assert(lddmc_satcount(m) <= elements); assert(lddmc_satcount(m) >= 1); } // test simply transition relation { MDD states, rel, meta, expected; // relation: (0,0) to (1,1) rel = lddmc_cube((uint32_t[]){0,1,0,1}, 4); test_assert(lddmc_satcount(rel) == 1); // relation: (0,0) to (2,2) rel = lddmc_union_cube(rel, (uint32_t[]){0,2,0,2}, 4); test_assert(lddmc_satcount(rel) == 2); // meta: read write read write meta = lddmc_cube((uint32_t[]){1,2,1,2}, 4); test_assert(lddmc_satcount(meta) == 1); // initial state: (0,0) states = lddmc_cube((uint32_t[]){0,0}, 2); test_assert(lddmc_satcount(states) == 1); // relprod should give two states states = lddmc_relprod(states, rel, meta); test_assert(lddmc_satcount(states) == 2); // relprod should give states (1,1) and (2,2) expected = lddmc_cube((uint32_t[]){1,1}, 2); expected = lddmc_union_cube(expected, (uint32_t[]){2,2}, 2); test_assert(states == expected); // now test relprod union on the simple example states = lddmc_cube((uint32_t[]){0,0}, 2); states = lddmc_relprod_union(states, rel, meta, states); test_assert(lddmc_satcount(states) == 3); test_assert(states == lddmc_union(states, expected)); // now create transition (1,1) --> (1,1) (using copy nodes) rel = lddmc_cube_copy((uint32_t[]){1,0,1,0}, (int[]){0,1,0,1}, 4); states = lddmc_relprod(states, rel, meta); // the result should be just state (1,1) test_assert(states == lddmc_cube((uint32_t[]){1,1}, 2)); MDD statezero = lddmc_cube((uint32_t[]){0,0}, 2); states = lddmc_union_cube(statezero, (uint32_t[]){1,1}, 2); test_assert(lddmc_relprod_union(states, rel, meta, statezero) == states); // now create transition (*,*) --> (*,*) (copy nodes) rel = lddmc_cube_copy((uint32_t[]){0,0}, (int[]){1,1}, 2); meta = lddmc_cube((uint32_t[]){4,4}, 2); states = make_random_ldd_set(2, 10, 10); MDD states2 = make_random_ldd_set(2, 10, 10); test_assert(lddmc_union(states, states2) == lddmc_relprod_union(states, rel, meta, states2)); } return 0; } int runtests() { // we are not testing garbage collection sylvan_gc_disable(); if (test_cache()) return 1; 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; if (test_ldd()) 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, MTBDD and LDD support sylvan_set_sizes(1LL<<20, 1LL<<20, 1LL<<16, 1LL<<16); sylvan_init_package(); sylvan_init_bdd(); sylvan_init_mtbdd(); sylvan_init_ldd(); int res = runtests(); sylvan_quit(); lace_exit(); return res; }