作为一个手指练习,尽管我看到所选虚拟类型层次结构存在严重问题,但让我们尝试创建一个面向值的 Primitives 容器,可以通过它们的 id (ById) 进行索引:
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#include <boost/intrusive/set.hpp>
#include <boost/poly_collection/base_collection.hpp>
#include <iostream>
namespace bi = boost::intrusive;
struct Point {
};
using IndexHook = bi::set_member_hook<bi::link_mode<bi::auto_unlink>>;
class Primitive {
int _id;
public:
struct ById {
bool operator()(auto const&... oper) const { return std::less<>{}(access(oper)...); }
private:
static int access(int id) { return id; }
static int access(Primitive const& p) { return p._id; }
};
IndexHook _index;
Primitive(int id) : _id(id) {}
virtual ~Primitive() = default;
int id() const { return _id; }
Primitive& operator+= (Primitive const& primitive) { return *this; } //overloading arithmetic operations
Primitive& operator*= (Primitive const& primitive) { return *this; }
Primitive& operator-= (Primitive const& primitive) { return *this; }
virtual bool check_in_point_inside(Point const&) const = 0;
};
using Index =
bi::set<Primitive, bi::constant_time_size<false>,
bi::compare<Primitive::ById>,
bi::member_hook<Primitive, IndexHook, &Primitive::_index>>;
class Sphere : public Primitive {
double _radius;
public:
Sphere(int id, double radius)
: Primitive(id)
, _radius(radius) {} // In which part of the parser to create objects?
bool check_in_point_inside(Point const& point) const override { return false; }
};
class Box : public Primitive {
double _A;
double _B;
public:
Box(int id, double A, double B) : Primitive(id), _A(A), _B(B) {}
bool check_in_point_inside(Point const& point) const override { return false; }
};
class Object{
int _id;
Primitive& _primitive;
public:
Object(int id, Primitive& p) : _id(id), _primitive(p) {}
bool check_in_point_inside_object(Primitive const& p1, Primitive const& p2,
Point const& point) const
{
//>How to construct a function from an expression
//'PRIMITIVE2*(-PRIMITIVE1)' when parsing?
return false;
}
};
using Primitives = boost::poly_collection::base_collection<Primitive>;
int main() {
Primitives test;
test.insert(Sphere{2, 4.0});
test.insert(Sphere{4, 4.0});
test.insert(Box{2, 5, 6});
test.insert(Sphere{1, 4.0});
test.insert(Box{3, 5, 6});
Index idx;
for (auto& p : test)
if (not idx.insert(p).second)
std::cout << "Duplicate id " << p.id() << " not indexed\n";
for (auto& p : idx)
std::cout << typeid(p).name() << " " << p.id() << "\n";
std::cout << "---\n";
for (auto& p : test)
std::cout << typeid(p).name() << " " << p.id() << "\n";
}
打印
Duplicate id 2 not indexed
6Sphere 1
3Box 2
3Box 3
6Sphere 4
---
3Box 2
3Box 3
6Sphere 2
6Sphere 4
6Sphere 1
到目前为止一切顺利。这是在处理 Spirit 语法中的虚拟类型时防止各种痛苦的重要组成部分¹
PS:我已经放弃了 intrusive_set 的想法。它不起作用,因为 base_container 在重新分配时会移动项目,并且会取消项目与其侵入集的链接。
相反,请参阅下文,了解在解析期间不尝试解析 id 的方法。
解析原语
我们从PRIMITIVE1 获取ID。我们可以在自然解析原语本身之前将其存储在某个地方,然后在提交时为其设置 id。
让我们从为解析器定义一个 State 对象开始:
struct State {
Ast::Id next_id;
Ast::Primitives primitives;
Ast::Objects objects;
template <typename... T> void commit(boost::variant<T...>& val) {
boost::apply_visitor([this](auto& obj) { commit(obj); }, val);
}
template <typename T> void commit(T& primitiveOrExpr) {
auto id = std::exchange(next_id, 0);
if constexpr (std::is_base_of_v<Ast::Primitive, T>) {
primitiveOrExpr.id = id;
primitives.insert(std::move(primitiveOrExpr));
} else {
objects.push_back(Ast::Object{id, std::move(primitiveOrExpr)});
}
}
};
如您所见,我们只是有一个存储原语、对象的地方。然后是我们的next_id 的临时存储空间,而我们仍在解析下一个实体。
commit 函数有助于对解析器规则的产品进行排序。碰巧,它们可以是变体,这就是为什么我们在变体上为commit 分配了apply_visitor。
再一次,正如脚注¹解释的那样,Spirit 的自然属性合成有利于静态多态性。
我们现在需要的语义动作是:
static inline auto& state(auto& ctx) { return get<State>(ctx); }
auto draft = [](auto& ctx) { state(ctx).next_id = _attr(ctx); };
auto commit = [](auto& ctx) { state(ctx).commit(_attr(ctx)); };
现在让我们跳到原语:
auto sphere = as<Ast::Sphere>(eps >> "sphere" >>'(' >> param("radius") >> ')');
auto box = as<Ast::Box>(eps >> "box" >> '(' >> param('a') >> ',' >> param('b') >> ')');
auto primitive =
("primitive" >> uint_[draft] >> '=' >> (sphere | box)[commit]) > ';';
这还是有点作弊,因为我使用了 param 帮助器来减少打字:
auto number = as<Ast::Number>(double_, "number");
auto param(auto name, auto p) { return eps >> omit[name] >> '=' >> p; }
auto param(auto name) { return param(name, number); }
如您所见,我已经假设大多数参数都具有数值性质。
什么是真正的对象?
看了一会儿,我得出的结论是,真正的 Object 被定义为与表达式相关联的 id 号(OBJECT1、OBJECT2...)。该表达式可以引用原语并具有一些一元和二元运算符。
让我们为此绘制一个 AST:
using Number = double;
struct RefPrimitive { Id id; };
struct Binary;
struct Unary;
using Expr = boost::variant< //
Number, //
RefPrimitive, //
boost::recursive_wrapper<Unary>, //
boost::recursive_wrapper<Binary> //
>;
struct Unary { char op; Expr oper; };
struct Binary { Expr lhs; char op; Expr rhs; };
struct Object { Id id; Expr expr; };
现在解析成那个表达式 AST
每个 Ast 节点类型实际上是 1:1 规则。例如:
auto ref_prim = as<Ast::RefPrimitive>(lexeme["primitive" >> uint_]);
现在很多表达式规则都可以递归了,所以我们需要通过 BOOST_SPIRIT_DEFINE 定义的声明规则:
// object expression grammar
rule<struct simple_tag, Ast::Expr> simple{"simple"};
rule<struct unary_tag, Ast::Unary> unary{"unary"};
rule<struct expr_tag, Ast::Expr> expr{"expr"};
rule<struct term_tag, Ast::Expr> term{"term"};
rule<struct factor_tag, Ast::Expr> factor{"factor"};
如您所知,其中一些与 Ast 节点不是 1:1,主要是因为递归和运算符优先级的差异(term vs factor vs. simple)。使用规则定义更容易查看:
auto unary_def = char_("-+") >> simple;
auto simple_def = ref_prim | unary | '(' >> expr >> ")";
auto factor_def = simple;
auto term_def = factor[assign] >> *(char_("*/") >> term)[make_binary];
auto expr_def = term[assign] >> *(char_("-+") >> expr)[make_binary];
因为没有一个规则实际上暴露了Binary,所以自动属性传播在那里并不方便²。相反,我们使用assign 和make_binary 语义动作:
auto assign = [](auto& ctx) { _val(ctx) = _attr(ctx); };
auto make_binary = [](auto& ctx) {
using boost::fusion::at_c;
auto& attr = _attr(ctx);
auto op = at_c<0>(attr);
auto& rhs = at_c<1>(attr);
_val(ctx) = Ast::Binary { _val(ctx), op, rhs };
};
最后,让我们将定义与声明的规则联系起来(使用它们的标记类型):
BOOST_SPIRIT_DEFINE(simple, unary, expr, term, factor)
我们只需要与primitive 类似的一行:
auto object =
("object" >> uint_[draft] >> '=' >> (expr)[commit]) > ';';
我们可以通过将每一行定义为一个基元|对象来完成:
auto line = primitive | object;
auto file = no_case[skip(ws_comment)[*eol >> "[geometry]" >> (-line % eol) >> eoi]];
在顶层,我们期望 [GEOMETRY] 标头,指定我们希望不区分大小写并且...要跳过 ws_comment³:
auto ws_comment = +(blank | lexeme["//" >> *(char_ - eol) >> eol]);
这让我们也可以忽略// comments。
现场演示时间
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//#define BOOST_SPIRIT_X3_DEBUG
#include <boost/fusion/adapted.hpp>
#include <boost/poly_collection/base_collection.hpp>
#include <boost/spirit/home/x3.hpp>
#include <iostream>
#include <list>
#include <map>
namespace x3 = boost::spirit::x3;
namespace Ast {
using Id = uint32_t;
struct Point { }; // ?? where does this belong?
struct Primitive {
Id id;
virtual ~Primitive() = default;
};
struct Sphere : Primitive { double radius; };
struct Box : Primitive { double a, b; };
using Number = double;
struct RefPrimitive { Id id; };
struct Binary;
struct Unary;
using Expr = boost::variant< //
Number, //
RefPrimitive, //
boost::recursive_wrapper<Unary>, //
boost::recursive_wrapper<Binary> //
>;
struct Unary { char op; Expr oper; };
struct Binary { Expr lhs; char op; Expr rhs; };
struct Object { Id id; Expr expr; };
using Primitives = boost::poly_collection::base_collection<Primitive>;
using Objects = std::list<Object>;
using Index = std::map<Id, std::reference_wrapper<Primitive const>>;
std::ostream& operator<<(std::ostream& os, Primitive const& p) {
return os << boost::core::demangle(typeid(p).name()) << " "
<< "(id: " << p.id << ")";
}
std::ostream& operator<<(std::ostream& os, Object const& o) {
return os << "object(id:" << o.id << ", expr:" << o.expr << ")";
}
std::ostream& operator<<(std::ostream& os, RefPrimitive ref) {
return os << "reference(prim:" << ref.id << ")";
}
std::ostream& operator<<(std::ostream& os, Binary const& b) {
return os << '(' << b.lhs << b.op << b.rhs << ')';
}
std::ostream& operator<<(std::ostream& os, Unary const& u) {
return os << '(' << u.op << u.oper << ')';
}
} // namespace Ast
BOOST_FUSION_ADAPT_STRUCT(Ast::Primitive, id)
BOOST_FUSION_ADAPT_STRUCT(Ast::Sphere, radius)
BOOST_FUSION_ADAPT_STRUCT(Ast::Box, a, b)
BOOST_FUSION_ADAPT_STRUCT(Ast::Object, id)
BOOST_FUSION_ADAPT_STRUCT(Ast::RefPrimitive, id)
BOOST_FUSION_ADAPT_STRUCT(Ast::Unary, op, oper)
namespace Parser {
using namespace x3;
struct State {
Ast::Id next_id;
Ast::Primitives primitives;
Ast::Objects objects;
template <typename... T> void commit(boost::variant<T...>& val) {
boost::apply_visitor([this](auto& obj) { commit(obj); }, val);
}
template <typename T> void commit(T& val) {
auto id = std::exchange(next_id, 0);
if constexpr (std::is_base_of_v<Ast::Primitive, T>) {
val.id = id;
primitives.insert(std::move(val));
} else {
objects.push_back(Ast::Object{id, std::move(val)});
}
}
};
static inline auto& state(auto& ctx) { return get<State>(ctx); }
auto draft = [](auto& ctx) { state(ctx).next_id = _attr(ctx); };
auto commit = [](auto& ctx) { state(ctx).commit(_attr(ctx)); };
template <typename T>
auto as = [](auto p, char const* name = "as") {
return rule<struct _, T>{name} = p;
};
auto ws_comment = +(blank | lexeme["//" >> *(char_ - eol) >> (eol | eoi)]);
auto number = as<Ast::Number>(double_, "number");
auto param(auto name, auto p) { return eps >> omit[name] >> '=' >> p; }
auto param(auto name) { return param(name, number); }
auto sphere = as<Ast::Sphere>(eps >> "sphere" >>'(' >> param("radius") >> ')');
auto box = as<Ast::Box>(eps >> "box" >> '(' >> param('a') >> ',' >> param('b') >> ')');
auto primitive =
("primitive" >> uint_[draft] >> '=' >> (sphere | box)[commit]) > ';';
auto ref_prim = as<Ast::RefPrimitive>(lexeme["primitive" >> uint_], "ref_prim");
// object expression grammar
rule<struct simple_tag, Ast::Expr> simple{"simple"};
rule<struct unary_tag, Ast::Unary> unary{"unary"};
rule<struct expr_tag, Ast::Expr> expr{"expr"};
rule<struct term_tag, Ast::Expr> term{"term"};
rule<struct factor_tag, Ast::Expr> factor{"factor"};
auto assign = [](auto& ctx) { _val(ctx) = _attr(ctx); };
auto make_binary = [](auto& ctx) {
using boost::fusion::at_c;
auto& attr = _attr(ctx);
auto op = at_c<0>(attr);
auto& rhs = at_c<1>(attr);
_val(ctx) = Ast::Binary { _val(ctx), op, rhs };
};
auto unary_def = char_("-+") >> simple;
auto simple_def = ref_prim | unary | '(' >> expr >> ")";
auto factor_def = simple;
auto term_def = factor[assign] >> *(char_("*/") >> term)[make_binary];
auto expr_def = term[assign] >> *(char_("-+") >> expr)[make_binary];
BOOST_SPIRIT_DEFINE(simple, unary, expr, term, factor)
auto object =
("object" >> uint_[draft] >> '=' >> (expr)[commit]) > ';';
auto line = primitive | object;
auto file = no_case[skip(ws_comment)[*eol >> "[geometry]" >> (-line % eol) >> eoi]];
} // namespace Parser
int main() {
for (std::string const input :
{
R"(
[geometry]
primitive1=sphere(radius=5.5);
primitive2=box(a=-5.2, b=7.3);
//...
object1=primitive2*(-primitive1);
//...)",
R"(
[GEOMETRY]
PRIMITIVE1=SPHERE(RADIUS=5.5);
PRIMITIVE2=BOX(A=-5.2, B=7.3);
//...
OBJECT1=PRIMITIVE2*(-PRIMITIVE1);
//...)",
}) //
{
Parser::State state;
bool ok = parse(begin(input), end(input),
x3::with<Parser::State>(state)[Parser::file]);
std::cout << "Parse success? " << std::boolalpha << ok << "\n";
Ast::Index index;
for (auto& p : state.primitives)
if (auto[it,ok] = index.emplace(p.id, p); not ok) {
std::cout << "Duplicate id " << p
<< " (conflicts with existing " << it->second.get()
<< ")\n";
}
std::cout << "Primitives by ID:\n";
for (auto& [id, prim] : index)
std::cout << " - " << prim << "\n";
std::cout << "Objects in definition order:\n";
for (auto& obj: state.objects)
std::cout << " - " << obj << "\n";
}
}
打印
Parse success? true
Primitives by ID:
- Ast::Sphere (id: 1)
- Ast::Box (id: 2)
Objects in definition order:
- object(id:1, expr:(reference(prim:2)*(-reference(prim:1))))
Parse success? true
Primitives by ID:
- Ast::Sphere (id: 1)
- Ast::Box (id: 2)
Objects in definition order:
- object(id:1, expr:(reference(prim:2)*(-reference(prim:1))))
¹How can I use polymorphic attributes with boost::spirit::qi parsers?
² 并坚持这样做会导致经典的效率低下,规则会导致大量回溯
³在词位之外