我正在为我的 CS 课程开发 Datalog 解释器,我遇到了一个奇怪的问题,即我的规则评估需要通过太多次才能完成。查看我的代码后,我在以下内容中进行了两项修改,修复了我的评估以正确执行次数:
//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;
}
}
对我来说,这两种代码结构在逻辑上是等价的。一个执行正确而一个执行不正确/效率低下是否有原因?这是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 上以调试和发布模式(32 位)运行时,我得到以下输出。据我所知,代码未优化。
Facts populated after 61 passes through the Rules.
Facts populated after 17 passes through the Rules.
Facts populated after 7 passes through the Rules.