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#include <sylvan_config.h>
#include <assert.h>
#include <inttypes.h>
#include <math.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <sylvan.h>
#include <sylvan_common.h>
#include <sylvan_cache.h>
#include <sylvan_int.h>
#include <sylvan_mtbdd_int.h>
#include <sylvan_storm_rational_number.h>
uint32_t srn_type;
static uint64_t sylvan_storm_rational_number_hash(const uint64_t v, const uint64_t seed) {
storm_rational_number_ptr x = (storm_rational_number_ptr)v;
return storm_rational_number_hash(x, seed);
}
static int sylvan_storm_rational_number_equals(const uint64_t left, const uint64_t right) {
return storm_rational_number_equals((storm_rational_number_ptr)(size_t)left, (storm_rational_number_ptr)(size_t)right);
}
static void sylvan_storm_rational_number_create(uint64_t *val) {
// This function is called by the unique table when a leaf does not yet exist. We make a copy, which will be stored in the hash table.
storm_rational_number_ptr* x = (storm_rational_number_ptr*)(size_t)val;
storm_rational_number_init(x);
}
static void sylvan_storm_rational_number_destroy(uint64_t val) {
// This function is called by the unique table when a leaf is removed during garbage collection.
storm_rational_number_ptr x = (storm_rational_number_ptr)(size_t)val;
storm_rational_number_destroy(x);
}
static char* sylvan_storm_rational_number_to_str(int comp, uint64_t val, char* buf, size_t buflen) {
return storm_rational_number_to_str((storm_rational_number_ptr)(size_t)val, buf, buflen);
(void)comp;
}
void sylvan_storm_rational_number_init() {
// Register custom leaf type storing rational numbers.
srn_type = sylvan_mt_create_type();
sylvan_mt_set_hash(srn_type, sylvan_storm_rational_number_hash);
sylvan_mt_set_equals(srn_type, sylvan_storm_rational_number_equals);
sylvan_mt_set_create(srn_type, sylvan_storm_rational_number_create);
sylvan_mt_set_destroy(srn_type, sylvan_storm_rational_number_destroy);
sylvan_mt_set_to_str(srn_type, sylvan_storm_rational_number_to_str);
// sylvan_mt_set_write_binary(srn_type, sylvan_storm_rational_number_write_binary);
// sylvan_mt_set_read_binary(srn_type, sylvan_storm_rational_number_read_binary);
}
uint32_t sylvan_storm_rational_number_get_type() {
return srn_type;
}
MTBDD mtbdd_storm_rational_number(storm_rational_number_ptr val) {
uint64_t terminalValue = (uint64_t)val;
return mtbdd_makeleaf(srn_type, terminalValue);
}
storm_rational_number_ptr mtbdd_getstorm_rational_number_ptr(MTBDD terminal) {
uint64_t value = mtbdd_getvalue(terminal);
return (storm_rational_number_ptr)value;
}
TASK_IMPL_2(MTBDD, mtbdd_op_bool_to_storm_rational_number, MTBDD, a, size_t, v) {
if (a == mtbdd_false) {
return mtbdd_storm_rational_number(storm_rational_number_get_zero());
}
if (a == mtbdd_true) {
return mtbdd_storm_rational_number(storm_rational_number_get_one());
}
// Ugly hack to get rid of the error "unused variable v" (because there is no version of uapply without a parameter).
(void)v;
return mtbdd_invalid;
}
TASK_IMPL_1(MTBDD, mtbdd_bool_to_storm_rational_number, MTBDD, dd) {
return mtbdd_uapply(dd, TASK(mtbdd_op_bool_to_storm_rational_number), 0);
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_equals, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
return storm_rational_number_equals(ma, mb) ? mtbdd_true : mtbdd_false;
}
/* Commutative, so swap a,b for better cache performance */
if (a < b) {
*pa = b;
*pb = a;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_plus, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions */
if (a == mtbdd_false) return b;
if (b == mtbdd_false) return a;
/* If both leaves, compute plus */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
storm_rational_number_ptr mres = storm_rational_number_plus(ma, mb);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
/* Commutative, so swap a,b for better cache performance */
if (a < b) {
*pa = b;
*pb = a;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_minus, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions */
if (a == mtbdd_false) return sylvan_storm_rational_number_neg(b);
if (b == mtbdd_false) return a;
/* If both leaves, compute minus */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
storm_rational_number_ptr mres = storm_rational_number_minus(ma, mb);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_times, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute multiplication */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
storm_rational_number_ptr mres = storm_rational_number_times(ma, mb);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
/* Commutative, so make "a" the lowest for better cache performance */
if (a < b) {
*pa = b;
*pb = a;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_divide, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute division */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mres;
if (storm_rational_number_is_zero(ma)) {
mres = storm_rational_number_get_zero();
} else {
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
mres = storm_rational_number_divide(ma, mb);
}
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_less, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions and for Boolean (filter) */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute less */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
return storm_rational_number_less(ma, mb) ? mtbdd_true : mtbdd_false;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_greater, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions and for Boolean (filter) */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute less */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
return storm_rational_number_less_or_equal(ma, mb) ? mtbdd_false : mtbdd_true;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_less_or_equal, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions and for Boolean (filter) */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute less or equal */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
return storm_rational_number_less_or_equal(ma, mb) ? mtbdd_true : mtbdd_false;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_greater_or_equal, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions and for Boolean (filter) */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute less or equal */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
return storm_rational_number_less(ma, mb) ? mtbdd_false : mtbdd_true;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_mod, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions and for Boolean (filter) */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute modulo */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
storm_rational_number_ptr mres = storm_rational_number_mod(ma, mb);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_min, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions and for Boolean (filter) */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute min */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
storm_rational_number_ptr mres = storm_rational_number_min(ma, mb);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
/* Commutative, so make "a" the lowest for better cache performance */
if (a < b) {
*pa = b;
*pb = a;
}
return mtbdd_invalid;
}
TASK_IMPL_3(MTBDD, sylvan_storm_rational_number_abstract_op_min, MTBDD, a, MTBDD, b, int, k) {
if (k==0) {
return mtbdd_apply(a, b, TASK(sylvan_storm_rational_number_op_min));
} else {
MTBDD res = a;
for (int i=0; i<k; i++) {
mtbdd_refs_push(res);
res = mtbdd_apply(res, res, TASK(sylvan_storm_rational_number_op_min));
mtbdd_refs_pop(1);
}
return res;
}
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_max, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions and for Boolean (filter) */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* If both leaves, compute max */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
storm_rational_number_ptr mres = storm_rational_number_max(ma, mb);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
/* Commutative, so make "a" the lowest for better cache performance */
if (a < b) {
*pa = b;
*pb = a;
}
return mtbdd_invalid;
}
TASK_IMPL_3(MTBDD, sylvan_storm_rational_number_abstract_op_max, MTBDD, a, MTBDD, b, int, k) {
if (k==0) {
return mtbdd_apply(a, b, TASK(sylvan_storm_rational_number_op_max));
} else {
MTBDD res = a;
for (int i=0; i<k; i++) {
mtbdd_refs_push(res);
res = mtbdd_apply(res, res, TASK(sylvan_storm_rational_number_op_max));
mtbdd_refs_pop(1);
}
return res;
}
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_pow, MTBDD*, pa, MTBDD*, pb) {
MTBDD a = *pa, b = *pb;
/* Check for partial functions and for Boolean (filter) */
if (a == mtbdd_false || b == mtbdd_false) return mtbdd_false;
/* Handle multiplication of leaves */
if (mtbdd_isleaf(a) && mtbdd_isleaf(b)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr mb = mtbdd_getstorm_rational_number_ptr(b);
storm_rational_number_ptr mres = storm_rational_number_pow(ma, mb);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
return mtbdd_invalid;
}
TASK_IMPL_3(MTBDD, sylvan_storm_rational_number_abstract_op_plus, MTBDD, a, MTBDD, b, int, k) {
if (k==0) {
return mtbdd_apply(a, b, TASK(sylvan_storm_rational_number_op_plus));
} else {
MTBDD res = a;
for (int i=0; i<k; i++) {
mtbdd_refs_push(res);
res = mtbdd_apply(res, res, TASK(sylvan_storm_rational_number_op_plus));
mtbdd_refs_pop(1);
}
return res;
}
}
TASK_IMPL_3(MTBDD, sylvan_storm_rational_number_abstract_op_times, MTBDD, a, MTBDD, b, int, k) {
if (k==0) {
return mtbdd_apply(a, b, TASK(sylvan_storm_rational_number_op_times));
} else {
MTBDD res = a;
for (int i=0; i<k; i++) {
mtbdd_refs_push(res);
res = mtbdd_apply(res, res, TASK(sylvan_storm_rational_number_op_times));
mtbdd_refs_pop(1);
}
return res;
}
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_neg, MTBDD, dd, size_t, p) {
/* Handle partial functions */
if (dd == mtbdd_false) return mtbdd_false;
/* Compute result for leaf */
if (mtbdd_isleaf(dd)) {
storm_rational_number_ptr mdd = mtbdd_getstorm_rational_number_ptr(dd);
storm_rational_number_ptr mres = storm_rational_number_negate(mdd);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
return mtbdd_invalid;
(void)p;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_floor, MTBDD, dd, size_t, p) {
/* Handle partial functions */
if (dd == mtbdd_false) return mtbdd_false;
/* Compute result for leaf */
if (mtbdd_isleaf(dd)) {
storm_rational_number_ptr mdd = mtbdd_getstorm_rational_number_ptr(dd);
storm_rational_number_ptr mres = storm_rational_number_floor(mdd);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
return mtbdd_invalid;
(void)p;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_ceil, MTBDD, dd, size_t, p) {
/* Handle partial functions */
if (dd == mtbdd_false) return mtbdd_false;
/* Compute result for leaf */
if (mtbdd_isleaf(dd)) {
storm_rational_number_ptr mdd = mtbdd_getstorm_rational_number_ptr(dd);
storm_rational_number_ptr mres = storm_rational_number_ceil(mdd);
MTBDD res = mtbdd_storm_rational_number(mres);
storm_rational_number_destroy(mres);
return res;
}
return mtbdd_invalid;
(void)p;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_to_double, MTBDD, dd, size_t, p) {
/* Handle partial functions */
if (dd == mtbdd_false) return mtbdd_false;
/* Compute result for leaf */
if (mtbdd_isleaf(dd)) {
storm_rational_number_ptr mdd = mtbdd_getstorm_rational_number_ptr(dd);
MTBDD result = mtbdd_double(storm_rational_number_get_value_double(mdd));
return result;
}
return mtbdd_invalid;
(void)p;
}
TASK_IMPL_3(MTBDD, sylvan_storm_rational_number_and_exists, MTBDD, a, MTBDD, b, MTBDD, v) {
/* Check terminal cases */
/* If v == true, then <vars> is an empty set */
if (v == mtbdd_true) return mtbdd_apply(a, b, TASK(sylvan_storm_rational_number_op_times));
/* Try the times operator on a and b */
MTBDD result = CALL(sylvan_storm_rational_number_op_times, &a, &b);
if (result != mtbdd_invalid) {
/* Times operator successful, store reference (for garbage collection) */
mtbdd_refs_push(result);
/* ... and perform abstraction */
result = mtbdd_abstract(result, v, TASK(sylvan_storm_rational_number_abstract_op_plus));
mtbdd_refs_pop(1);
/* Note that the operation cache is used in mtbdd_abstract */
return result;
}
/* Maybe perform garbage collection */
sylvan_gc_test();
/* Check cache. Note that we do this now, since the times operator might swap a and b (commutative) */
if (cache_get3(CACHE_MTBDD_AND_EXISTS_RN, a, b, v, &result)) return result;
/* Now, v is not a constant, and either a or b is not a constant */
/* Get top variable */
int la = mtbdd_isleaf(a);
int lb = mtbdd_isleaf(b);
mtbddnode_t na = la ? 0 : MTBDD_GETNODE(a);
mtbddnode_t nb = lb ? 0 : MTBDD_GETNODE(b);
uint32_t va = la ? 0xffffffff : mtbddnode_getvariable(na);
uint32_t vb = lb ? 0xffffffff : mtbddnode_getvariable(nb);
uint32_t var = va < vb ? va : vb;
mtbddnode_t nv = MTBDD_GETNODE(v);
uint32_t vv = mtbddnode_getvariable(nv);
if (vv < var) {
/* Recursive, then abstract result */
result = CALL(sylvan_storm_rational_number_and_exists, a, b, node_gethigh(v, nv));
mtbdd_refs_push(result);
result = mtbdd_apply(result, result, TASK(sylvan_storm_rational_number_op_plus));
mtbdd_refs_pop(1);
} else {
/* Get cofactors */
MTBDD alow, ahigh, blow, bhigh;
alow = (!la && va == var) ? node_getlow(a, na) : a;
ahigh = (!la && va == var) ? node_gethigh(a, na) : a;
blow = (!lb && vb == var) ? node_getlow(b, nb) : b;
bhigh = (!lb && vb == var) ? node_gethigh(b, nb) : b;
if (vv == var) {
/* Recursive, then abstract result */
mtbdd_refs_spawn(SPAWN(sylvan_storm_rational_number_and_exists, ahigh, bhigh, node_gethigh(v, nv)));
MTBDD low = mtbdd_refs_push(CALL(sylvan_storm_rational_number_and_exists, alow, blow, node_gethigh(v, nv)));
MTBDD high = mtbdd_refs_push(mtbdd_refs_sync(SYNC(sylvan_storm_rational_number_and_exists)));
result = CALL(mtbdd_apply, low, high, TASK(sylvan_storm_rational_number_op_plus));
mtbdd_refs_pop(2);
} else /* vv > v */ {
/* Recursive, then create node */
mtbdd_refs_spawn(SPAWN(sylvan_storm_rational_number_and_exists, ahigh, bhigh, v));
MTBDD low = mtbdd_refs_push(CALL(sylvan_storm_rational_number_and_exists, alow, blow, v));
MTBDD high = mtbdd_refs_sync(SYNC(sylvan_storm_rational_number_and_exists));
mtbdd_refs_pop(1);
result = mtbdd_makenode(var, low, high);
}
}
/* Store in cache */
cache_put3(CACHE_MTBDD_AND_EXISTS_RN, a, b, v, result);
return result;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_threshold, MTBDD, a, size_t*, svalue) {
storm_rational_number_ptr value = (storm_rational_number_ptr)svalue;
if (mtbdd_isleaf(a)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
return storm_rational_number_less_or_equal(ma, value) ? mtbdd_false : mtbdd_true;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_op_strict_threshold, MTBDD, a, size_t*, svalue) {
storm_rational_number_ptr value = (storm_rational_number_ptr)svalue;
if (mtbdd_isleaf(a)) {
storm_rational_number_ptr ma = mtbdd_getstorm_rational_number_ptr(a);
return storm_rational_number_less(ma, value) ? mtbdd_false : mtbdd_true;
}
return mtbdd_invalid;
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_threshold, MTBDD, dd, storm_rational_number_ptr, value)
{
return mtbdd_uapply(dd, TASK(sylvan_storm_rational_number_op_threshold), (size_t*)value);
}
TASK_IMPL_2(MTBDD, sylvan_storm_rational_number_strict_threshold, MTBDD, dd, storm_rational_number_ptr, value)
{
return mtbdd_uapply(dd, TASK(sylvan_storm_rational_number_op_strict_threshold), (size_t*)value);
}
TASK_IMPL_1(MTBDD, sylvan_storm_rational_number_minimum, MTBDD, a) {
/* Check terminal case */
if (a == mtbdd_false) return mtbdd_false;
mtbddnode_t na = MTBDD_GETNODE(a);
if (mtbddnode_isleaf(na)) return a;
/* Maybe perform garbage collection */
sylvan_gc_test();
/* Check cache */
MTBDD result;
if (cache_get3(CACHE_MTBDD_MINIMUM_RN, a, 0, 0, &result)) return result;
/* Call recursive */
SPAWN(sylvan_storm_rational_number_minimum, node_getlow(a, na));
MTBDD high = CALL(sylvan_storm_rational_number_minimum, node_gethigh(a, na));
MTBDD low = SYNC(sylvan_storm_rational_number_minimum);
storm_rational_number_ptr fl = mtbdd_getstorm_rational_number_ptr(low);
storm_rational_number_ptr fh = mtbdd_getstorm_rational_number_ptr(high);
if (storm_rational_number_less_or_equal(fl, fh)) {
return low;
} else {
return high;
}
/* Store in cache */
cache_put3(CACHE_MTBDD_MINIMUM_RN, a, 0, 0, result);
return result;
}
TASK_IMPL_1(MTBDD, sylvan_storm_rational_number_maximum, MTBDD, a)
{
/* Check terminal case */
if (a == mtbdd_false) return mtbdd_false;
mtbddnode_t na = MTBDD_GETNODE(a);
if (mtbddnode_isleaf(na)) return a;
/* Maybe perform garbage collection */
sylvan_gc_test();
/* Check cache */
MTBDD result;
if (cache_get3(CACHE_MTBDD_MAXIMUM_RN, a, 0, 0, &result)) return result;
/* Call recursive */
SPAWN(sylvan_storm_rational_number_maximum, node_getlow(a, na));
MTBDD high = CALL(sylvan_storm_rational_number_maximum, node_gethigh(a, na));
MTBDD low = SYNC(sylvan_storm_rational_number_maximum);
storm_rational_number_ptr fl = mtbdd_getstorm_rational_number_ptr(low);
storm_rational_number_ptr fh = mtbdd_getstorm_rational_number_ptr(high);
if (storm_rational_number_less(fl, fh)) {
return high;
} else {
return low;
}
/* Store in cache */
cache_put3(CACHE_MTBDD_MAXIMUM_RN, a, 0, 0, result);
return result;
}
TASK_4(MTBDD, sylvan_storm_rational_number_equal_norm_d2, MTBDD, a, MTBDD, b, storm_rational_number_ptr, svalue, int*, shortcircuit)
{
/* Check short circuit */
if (*shortcircuit) return mtbdd_false;
/* Check terminal case */
if (a == b) return mtbdd_true;
if (a == mtbdd_false) return mtbdd_false;
if (b == mtbdd_false) return mtbdd_false;
mtbddnode_t na = MTBDD_GETNODE(a);
mtbddnode_t nb = MTBDD_GETNODE(b);
int la = mtbddnode_isleaf(na);
int lb = mtbddnode_isleaf(nb);
if (la && lb) {
storm_rational_number_ptr fa = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr fb = mtbdd_getstorm_rational_number_ptr(b);
return storm_rational_number_equal_modulo_precision(0, fa, fb, svalue) ? mtbdd_true : mtbdd_false;
}
if (b < a) {
MTBDD t = a;
a = b;
b = t;
}
/* Maybe perform garbage collection */
sylvan_gc_test();
/* Count operation */
sylvan_stats_count(MTBDD_EQUAL_NORM);
/* Check cache */
MTBDD result;
if (cache_get3(CACHE_MTBDD_EQUAL_NORM_RN, a, b, svalue, &result)) {
sylvan_stats_count(MTBDD_EQUAL_NORM_CACHED);
return result;
}
/* Get top variable */
uint32_t va = la ? 0xffffffff : mtbddnode_getvariable(na);
uint32_t vb = lb ? 0xffffffff : mtbddnode_getvariable(nb);
uint32_t var = va < vb ? va : vb;
/* Get cofactors */
MTBDD alow, ahigh, blow, bhigh;
alow = va == var ? node_getlow(a, na) : a;
ahigh = va == var ? node_gethigh(a, na) : a;
blow = vb == var ? node_getlow(b, nb) : b;
bhigh = vb == var ? node_gethigh(b, nb) : b;
SPAWN(sylvan_storm_rational_number_equal_norm_d2, ahigh, bhigh, svalue, shortcircuit);
result = CALL(sylvan_storm_rational_number_equal_norm_d2, alow, blow, svalue, shortcircuit);
if (result == mtbdd_false) *shortcircuit = 1;
if (result != SYNC(sylvan_storm_rational_number_equal_norm_d2)) result = mtbdd_false;
if (result == mtbdd_false) *shortcircuit = 1;
/* Store in cache */
if (cache_put3(CACHE_MTBDD_EQUAL_NORM_RN, a, b, svalue, result)) {
sylvan_stats_count(MTBDD_EQUAL_NORM_CACHEDPUT);
}
return result;
}
TASK_IMPL_3(MTBDD, sylvan_storm_rational_number_equal_norm_d, MTBDD, a, MTBDD, b, storm_rational_number_ptr, d)
{
/* the implementation checks shortcircuit in every task and if the two
MTBDDs are not equal module epsilon, then the computation tree quickly aborts */
int shortcircuit = 0;
return CALL(sylvan_storm_rational_number_equal_norm_d2, a, b, d, &shortcircuit);
}
/**
* Compare two Double MTBDDs, returns Boolean True if they are equal within some value epsilon
* This version computes the relative difference vs the value in a.
*/
TASK_4(MTBDD, sylvan_storm_rational_number_equal_norm_rel_d2, MTBDD, a, MTBDD, b, storm_rational_number_ptr, svalue, int*, shortcircuit)
{
/* Check short circuit */
if (*shortcircuit) return mtbdd_false;
/* Check terminal case */
if (a == b) return mtbdd_true;
if (a == mtbdd_false) return mtbdd_false;
if (b == mtbdd_false) return mtbdd_false;
mtbddnode_t na = MTBDD_GETNODE(a);
mtbddnode_t nb = MTBDD_GETNODE(b);
int la = mtbddnode_isleaf(na);
int lb = mtbddnode_isleaf(nb);
if (la && lb) {
storm_rational_number_ptr fa = mtbdd_getstorm_rational_number_ptr(a);
storm_rational_number_ptr fb = mtbdd_getstorm_rational_number_ptr(b);
return storm_rational_number_equal_modulo_precision(1, fa, fb, svalue) ? mtbdd_true : mtbdd_false;
}
/* Maybe perform garbage collection */
sylvan_gc_test();
/* Count operation */
sylvan_stats_count(MTBDD_EQUAL_NORM_REL);
/* Check cache */
MTBDD result;
if (cache_get3(CACHE_MTBDD_EQUAL_NORM_REL_RN, a, b, svalue, &result)) {
sylvan_stats_count(MTBDD_EQUAL_NORM_REL_CACHED);
return result;
}
/* Get top variable */
uint32_t va = la ? 0xffffffff : mtbddnode_getvariable(na);
uint32_t vb = lb ? 0xffffffff : mtbddnode_getvariable(nb);
uint32_t var = va < vb ? va : vb;
/* Get cofactors */
MTBDD alow, ahigh, blow, bhigh;
alow = va == var ? node_getlow(a, na) : a;
ahigh = va == var ? node_gethigh(a, na) : a;
blow = vb == var ? node_getlow(b, nb) : b;
bhigh = vb == var ? node_gethigh(b, nb) : b;
SPAWN(sylvan_storm_rational_number_equal_norm_rel_d2, ahigh, bhigh, svalue, shortcircuit);
result = CALL(sylvan_storm_rational_number_equal_norm_rel_d2, alow, blow, svalue, shortcircuit);
if (result == mtbdd_false) *shortcircuit = 1;
if (result != SYNC(sylvan_storm_rational_number_equal_norm_rel_d2)) result = mtbdd_false;
if (result == mtbdd_false) *shortcircuit = 1;
/* Store in cache */
if (cache_put3(CACHE_MTBDD_EQUAL_NORM_REL_RN, a, b, svalue, result)) {
sylvan_stats_count(MTBDD_EQUAL_NORM_REL_CACHEDPUT);
}
return result;
}
TASK_IMPL_3(MTBDD, sylvan_storm_rational_number_equal_norm_rel_d, MTBDD, a, MTBDD, b, storm_rational_number_ptr, d)
{
/* the implementation checks shortcircuit in every task and if the two
MTBDDs are not equal module epsilon, then the computation tree quickly aborts */
int shortcircuit = 0;
return CALL(sylvan_storm_rational_number_equal_norm_rel_d2, a, b, d, &shortcircuit);
}
TASK_IMPL_3(BDD, sylvan_storm_rational_number_min_abstract_representative, MTBDD, a, BDD, v, BDDVAR, prev_level) {
/* Maybe perform garbage collection */
sylvan_gc_test();
if (sylvan_set_isempty(v)) {
return sylvan_true;
}
/* Cube is guaranteed to be a cube at this point. */
if (mtbdd_isleaf(a)) {
BDD _v = sylvan_set_next(v);
BDD res = CALL(sylvan_storm_rational_number_min_abstract_representative, a, _v, prev_level);
if (res == sylvan_invalid) {
return sylvan_invalid;
}
sylvan_ref(res);
BDD res1 = sylvan_not(sylvan_ite(sylvan_ithvar(bddnode_getvariable(MTBDD_GETNODE(v))), sylvan_true, sylvan_not(res)));
if (res1 == sylvan_invalid) {
sylvan_deref(res);
return sylvan_invalid;
}
sylvan_deref(res);
return res1;
}
mtbddnode_t na = MTBDD_GETNODE(a);
uint32_t va = mtbddnode_getvariable(na);
bddnode_t nv = MTBDD_GETNODE(v);
BDDVAR vv = bddnode_getvariable(nv);
/* Abstract a variable that does not appear in a. */
if (va > vv) {
BDD _v = sylvan_set_next(v);
BDD res = CALL(sylvan_storm_rational_number_min_abstract_representative, a, _v, va);
if (res == sylvan_invalid) {
return sylvan_invalid;
}
// Fill in the missing variables to make representative unique.
sylvan_ref(res);
BDD res1 = sylvan_ite(sylvan_ithvar(vv), sylvan_false, res);
if (res1 == sylvan_invalid) {
sylvan_deref(res);
return sylvan_invalid;
}
sylvan_deref(res);
return res1;
}
/* Check cache */
MTBDD result;
if (cache_get3(CACHE_MTBDD_ABSTRACT_REPRESENTATIVE, a, v, (size_t)1, &result)) {
sylvan_stats_count(MTBDD_ABSTRACT_CACHED);
return result;
}
MTBDD E = mtbdd_getlow(a);
MTBDD T = mtbdd_gethigh(a);
/* If the two indices are the same, so are their levels. */
if (va == vv) {
BDD _v = sylvan_set_next(v);
BDD res1 = CALL(sylvan_storm_rational_number_min_abstract_representative, E, _v, va);
if (res1 == sylvan_invalid) {
return sylvan_invalid;
}
sylvan_ref(res1);
BDD res2 = CALL(sylvan_storm_rational_number_min_abstract_representative, T, _v, va);
if (res2 == sylvan_invalid) {
sylvan_deref(res1);
return sylvan_invalid;
}
sylvan_ref(res2);
MTBDD left = sylvan_storm_rational_number_abstract_min(E, _v);
if (left == mtbdd_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
return sylvan_invalid;
}
mtbdd_ref(left);
MTBDD right = sylvan_storm_rational_number_abstract_min(T, _v);
if (right == mtbdd_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
mtbdd_deref(left);
return sylvan_invalid;
}
mtbdd_ref(right);
BDD tmp = sylvan_storm_rational_number_less_or_equal(left, right);
if (tmp == sylvan_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
mtbdd_deref(left);
mtbdd_deref(right);
return sylvan_invalid;
}
sylvan_ref(tmp);
mtbdd_deref(left);
mtbdd_deref(right);
BDD res1Inf = sylvan_ite(tmp, res1, sylvan_false);
if (res1Inf == sylvan_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
sylvan_deref(tmp);
return sylvan_invalid;
}
sylvan_ref(res1Inf);
sylvan_deref(res1);
BDD res2Inf = sylvan_ite(tmp, sylvan_false, res2);
if (res2Inf == sylvan_invalid) {
sylvan_deref(res2);
sylvan_deref(res1Inf);
sylvan_deref(tmp);
return sylvan_invalid;
}
sylvan_ref(res2Inf);
sylvan_deref(res2);
sylvan_deref(tmp);
BDD res = (res1Inf == res2Inf) ? sylvan_ite(sylvan_ithvar(va), sylvan_false, res1Inf) : sylvan_ite(sylvan_ithvar(va), res2Inf, res1Inf);
if (res == sylvan_invalid) {
sylvan_deref(res1Inf);
sylvan_deref(res2Inf);
return sylvan_invalid;
}
sylvan_ref(res);
sylvan_deref(res1Inf);
sylvan_deref(res2Inf);
/* Store in cache */
if (cache_put3(CACHE_MTBDD_ABSTRACT_REPRESENTATIVE, a, v, (size_t)1, res)) {
sylvan_stats_count(MTBDD_ABSTRACT_CACHEDPUT);
}
sylvan_deref(res);
return res;
}
else { /* if (va < vv) */
BDD res1 = CALL(sylvan_storm_rational_number_min_abstract_representative, E, v, va);
if (res1 == sylvan_invalid) {
return sylvan_invalid;
}
sylvan_ref(res1);
BDD res2 = CALL(sylvan_storm_rational_number_min_abstract_representative, T, v, va);
if (res2 == sylvan_invalid) {
sylvan_deref(res1);
return sylvan_invalid;
}
sylvan_ref(res2);
BDD res = (res1 == res2) ? res1 : sylvan_ite(sylvan_ithvar(va), res2, res1);
if (res == sylvan_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
return sylvan_invalid;
}
sylvan_deref(res1);
sylvan_deref(res2);
/* Store in cache */
if (cache_put3(CACHE_MTBDD_ABSTRACT_REPRESENTATIVE, a, v, (size_t)1, res)) {
sylvan_stats_count(MTBDD_ABSTRACT_CACHEDPUT);
}
return res;
}
}
TASK_IMPL_3(BDD, sylvan_storm_rational_number_max_abstract_representative, MTBDD, a, MTBDD, v, uint32_t, prev_level) {
/* Maybe perform garbage collection */
sylvan_gc_test();
if (sylvan_set_isempty(v)) {
return sylvan_true;
}
/* Count operation */
sylvan_stats_count(MTBDD_ABSTRACT);
/* Cube is guaranteed to be a cube at this point. */
if (mtbdd_isleaf(a)) {
/* Compute result */
BDD _v = sylvan_set_next(v);
BDD res = CALL(sylvan_storm_rational_number_max_abstract_representative, a, _v, prev_level);
if (res == sylvan_invalid) {
return sylvan_invalid;
}
sylvan_ref(res);
BDD res1 = sylvan_not(sylvan_ite(sylvan_ithvar(bddnode_getvariable(MTBDD_GETNODE(v))), sylvan_true, sylvan_not(res)));
if (res1 == sylvan_invalid) {
sylvan_deref(res);
return sylvan_invalid;
}
sylvan_deref(res);
return res1;
}
mtbddnode_t na = MTBDD_GETNODE(a);
uint32_t va = mtbddnode_getvariable(na);
bddnode_t nv = MTBDD_GETNODE(v);
BDDVAR vv = bddnode_getvariable(nv);
/* Abstract a variable that does not appear in a. */
if (vv < va) {
BDD _v = sylvan_set_next(v);
BDD res = CALL(sylvan_storm_rational_number_max_abstract_representative, a, _v, va);
if (res == sylvan_invalid) {
return sylvan_invalid;
}
// Fill in the missing variables to make representative unique.
sylvan_ref(res);
BDD res1 = sylvan_ite(sylvan_ithvar(vv), sylvan_false, res);
if (res1 == sylvan_invalid) {
sylvan_deref(res);
return sylvan_invalid;
}
sylvan_deref(res);
return res1;
}
/* Check cache */
MTBDD result;
if (cache_get3(CACHE_MTBDD_ABSTRACT_REPRESENTATIVE, a, v, (size_t)0, &result)) {
sylvan_stats_count(MTBDD_ABSTRACT_CACHED);
return result;
}
MTBDD E = mtbdd_getlow(a);
MTBDD T = mtbdd_gethigh(a);
/* If the two indices are the same, so are their levels. */
if (va == vv) {
BDD _v = sylvan_set_next(v);
BDD res1 = CALL(sylvan_storm_rational_number_max_abstract_representative, E, _v, va);
if (res1 == sylvan_invalid) {
return sylvan_invalid;
}
sylvan_ref(res1);
BDD res2 = CALL(sylvan_storm_rational_number_max_abstract_representative, T, _v, va);
if (res2 == sylvan_invalid) {
sylvan_deref(res1);
return sylvan_invalid;
}
sylvan_ref(res2);
MTBDD left = sylvan_storm_rational_number_abstract_max(E, _v);
if (left == mtbdd_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
return sylvan_invalid;
}
mtbdd_ref(left);
MTBDD right = sylvan_storm_rational_number_abstract_max(T, _v);
if (right == mtbdd_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
mtbdd_deref(left);
return sylvan_invalid;
}
mtbdd_ref(right);
BDD tmp = sylvan_storm_rational_number_greater_or_equal(left, right);
if (tmp == sylvan_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
mtbdd_deref(left);
mtbdd_deref(right);
return sylvan_invalid;
}
sylvan_ref(tmp);
mtbdd_deref(left);
mtbdd_deref(right);
BDD res1Inf = sylvan_ite(tmp, res1, sylvan_false);
if (res1Inf == sylvan_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
sylvan_deref(tmp);
return sylvan_invalid;
}
sylvan_ref(res1Inf);
sylvan_deref(res1);
BDD res2Inf = sylvan_ite(tmp, sylvan_false, res2);
if (res2Inf == sylvan_invalid) {
sylvan_deref(res2);
sylvan_deref(res1Inf);
sylvan_deref(tmp);
return sylvan_invalid;
}
sylvan_ref(res2Inf);
sylvan_deref(res2);
sylvan_deref(tmp);
BDD res = (res1Inf == res2Inf) ? sylvan_ite(sylvan_ithvar(va), sylvan_false, res1Inf) : sylvan_ite(sylvan_ithvar(va), res2Inf, res1Inf);
if (res == sylvan_invalid) {
sylvan_deref(res1Inf);
sylvan_deref(res2Inf);
return sylvan_invalid;
}
sylvan_ref(res);
sylvan_deref(res1Inf);
sylvan_deref(res2Inf);
/* Store in cache */
if (cache_put3(CACHE_MTBDD_ABSTRACT_REPRESENTATIVE, a, v, (size_t)0, res)) {
sylvan_stats_count(MTBDD_ABSTRACT_CACHEDPUT);
}
sylvan_deref(res);
return res;
}
else { /* if (va < vv) */
BDD res1 = CALL(sylvan_storm_rational_number_max_abstract_representative, E, v, va);
if (res1 == sylvan_invalid) {
return sylvan_invalid;
}
sylvan_ref(res1);
BDD res2 = CALL(sylvan_storm_rational_number_max_abstract_representative, T, v, va);
if (res2 == sylvan_invalid) {
sylvan_deref(res1);
return sylvan_invalid;
}
sylvan_ref(res2);
BDD res = (res1 == res2) ? res1 : sylvan_ite(sylvan_ithvar(va), res2, res1);
if (res == sylvan_invalid) {
sylvan_deref(res1);
sylvan_deref(res2);
return sylvan_invalid;
}
sylvan_deref(res1);
sylvan_deref(res2);
/* Store in cache */
if (cache_put3(CACHE_MTBDD_ABSTRACT_REPRESENTATIVE, a, v, (size_t)0, res)) {
sylvan_stats_count(MTBDD_ABSTRACT_CACHEDPUT);
}
return res;
}
}