我当时正在为CS类开发Datalog解释器,但遇到一个奇怪的问题,即我的Rule评估花了太多时间才能完成。在查看了我的代码之后,我在下面进行了两项修改,以固定我的评估以正确的通过次数执行:
//original form
bool addedFacts = false;
for (X x: xs) {
addedFacts = addedFacts || set.insert(x).second;
}
//modified form
bool addedFacts = false;
for (X x: xs) {
if (set.insert(x).second) {
addedFacts = true;
}
}
在我看来,这两个代码结构在逻辑上是等效的。有一个原因导致一个人正确执行而一个人执行错误/效率低下吗?
这是一个正在发生的问题的可构建示例:
#include <iostream>
#include <set>
#include <vector>
using std::set;
using std::vector;
using std::cout;
using std::endl;
const int CAP = 100;
class Rule {
public:
int factor;
Rule(int factor) {
this->factor = factor;
}
bool evaluateInefficient(set<int>& facts) {
vector<int> data;
bool addedFacts = false;
for (int fact : facts) {
data.push_back(fact);
}
for (int datum : data) {
int newFact = datum * factor;
if (newFact < CAP) {
addedFacts = addedFacts || facts.insert(newFact).second;
}
}
return addedFacts;
}
bool evaluate(set<int>& facts) {
vector<int> data;
bool addedFacts = false;
for (int fact : facts) {
data.push_back(fact);
}
for (int datum : data) {
int newFact = datum * factor;
if (newFact < CAP) {
if (facts.insert(newFact).second) {
addedFacts = true;
}
}
}
return addedFacts;
}
};
int doublyInefficient(vector<Rule>& rules) {
set<int> facts;
facts.insert(1);
bool addedFacts = true;
int passes = 0;
while (addedFacts) {
passes++;
addedFacts = false;
for (Rule rule : rules) {
addedFacts = addedFacts || rule.evaluateInefficient(facts);
}
}
return passes;
}
int singlyInefficient(vector<Rule>& rules) {
set<int> facts;
facts.insert(1);
bool addedFacts = true;
int passes = 0;
while (addedFacts) {
passes++;
addedFacts = false;
for (Rule rule : rules) {
addedFacts = addedFacts || rule.evaluate(facts);
}
}
return passes;
}
int efficient(vector<Rule>& rules) {
set<int> facts;
facts.insert(1);
bool addedFacts = true;
int passes = 0;
while (addedFacts) {
passes++;
addedFacts = false;
for (Rule rule : rules) {
if (rule.evaluate(facts)) {
addedFacts = true;
}
}
}
return passes;
}
int main(int argc, char* argv[]) {
//build the rules
vector<Rule> rules;
rules.push_back(Rule(2));
rules.push_back(Rule(3));
rules.push_back(Rule(5));
rules.push_back(Rule(7));
rules.push_back(Rule(11));
rules.push_back(Rule(13));
//Show three different codes that should (in my mind) take the same amount of passes over the rules but don't
cout << "Facts populated after " << doublyInefficient(rules) << " passes through the Rules." << endl;
cout << "Facts populated after " << singlyInefficient(rules) << " passes through the Rules." << endl;
cout << "Facts populated after " << efficient(rules) << " passes through the Rules." << endl;
getchar();
}
在Visual Studio 2017上以调试和 Release模式(32位)运行时,我得到以下输出。据我所知,代码未进行优化。
Facts populated after 61 passes through the Rules.
Facts populated after 17 passes through the Rules.
Facts populated after 7 passes through the Rules.
最佳答案
由于短路评估而产生差异:
考虑形式为(expr1 || expr2)
的表达式。短路意味着,如果expr1
评估为true
,表达式expr2
根本不会得到评估(参见this online c++ standard draft,强调是我的):
因此,在表达式addedFacts || set.insert(x).second
中,从首次将addedFacts
变为true
的点开始,将不再执行表达式set.insert(x).second
。我想这是“错误的”行为,因为您的set
那时将不包含相应的x
。