// -*- C++ -*- // Copyright (C) 2011-2014, Gabriel Dos Reis. // All rights reserved. // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // - Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // // - Redistributions in binary form must reproduce the above copyright // notice, this list of conditions and the following disclaimer in // the documentation and/or other materials provided with the // distribution. // // - Neither the name of OpenAxiom nor the names of its contributors // may be used to endorse or promote products derived from this // software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS // IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED // TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A // PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER // OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // --% Author: Gabriel Dos Reis // --% Description: // --% Interface and implementation of basic services of the // --% OpenAxiom Virtual Machine. #ifndef OPENAXIOM_VM_included #define OPENAXIOM_VM_included #include #include #include #include #include #include #include #define internal_type struct alignas(16) #define internal_data alignas(16) namespace OpenAxiom { namespace VM { // --% // --% Value representation // --% // A far reaching design decision is that of providing a uniform // representation for values. That is all values, irrespective // of type have fit in a fixed format, i.e. a scalar register. // This means that values that are more complicated than a scalar, // i.e. the vast majority and most interesting values, have to // be stored in allocated objects and addresses of their container // objects used in place of the actual values. This is folklore // in the communities of garbage collected languages. // // An unfortunate but widely held belief is that AXIOM-based // systems (and computer algebra systems in general) are // Lisp-based systems. Nothing could be further from the truth // for OpenAxiom. The type system is believed to support // erasure semantics, at least for values. // // However the current implementation, being Lisp-based, // unwittingly makes use of some Lisp features that are not // strictly necessary. It would take a certain amount of effort // to get rid of them. Consequently, we must cope -- at least // for now -- with the notion of uniform value representation and // use runtime predicates to descriminate between values. // On the other hand, we do not want to carry an unduly expensive // abstraction penalty for perfectly well behaved and well // disciplined programs. So, here are a few constraints: // 1. Small integers should represent themselves -- not allocated. // Furthermore, the maximum range should be sought where possible. // 2. Since we have to deal with characters, they should be // directly represented -- not allocated. // 3. List values and list manipulation should be efficient. // Ideally, a pair should occupy no more than what it // takes to store two values in a type-erasure semantics. // 4. Idealy, pointers to foreign objects (at least) should be // left unmolested. // 5. Ideally, we want efficient access to string literals // // * Assumptions: // (a) the host machine has sizeof(Value) quo 4 = 0. // (b) allocated objects can be aligned on sizeof(Value) boundary. // (c) the host machine has 2's complement arithmetic. // // If: // -- we use a dedicated allocation pool for cons cells // -- we allocate the first cell in each cons-storage arena // on a 8-byte boundary // -- we use exactly 2 * sizeof(Value) to store a cons cell // therefore realizing constraint (3) // then: // every pointer to a cons cell will have its last 3 bits cleared. // // Therefore, we can use the last 3 bits to tag a cons value, instead // of storing the tag inside the cons cell. We can't leave those // bits cleared for we would not be able to easily and cheaply // distinguish a pointer to a cons cell from a pointer to other // objects, in particular foreign objects. // // To meet constraint (1), we must logically use at least one bit // to distinguish a small integer from a pointer to a cons cell. // The good news is that we need no more than that if pointers // to foreign pointers do not have the last bit set. Which is // the case with assumption (a). Furthermore, if we align all // other internal data on 16 byte boundary, then we have 4 spare bits // for use to categorize values. // Therefore we arrive at the first design: // I. the value representation of a small integer always has the // the least significant bit set. All other bits are // significant. In other words, the last four bits of a small // integer are 0bxxx1 // // As a consequence, the last bit of all other values must be cleared. // // Next, // II. All foreign pointers that are aligned on 8-boundary are // directly represented. Any foreign pointer not meeting // this condition is stored in an internal object. As a // consequence, the last four bits of all foreign addresses // directly represented follow the pattern 0bx000. // // III. Cons cells are represented by their addresses with the // last 4 bits matching the pattern 0bx010. // // IV. All internal objects are allocated on 16-byte boundary. // Their last 4 bits are set to the pattern 0b0110. // // V. String literals are represented by their addressed with // the last four bits following the pattern 0bx100.. // // Finally: // IV. The representation of a character shall have the last four // bits set to 0b1110. // // Note: These choices do not fully satisfy constraint 4. This is // because we restrict foreign pointers to address aligned // to 8-byte boundaries. A modest constraint. // // Special Constants: // NIL 0x00 // T 0x10 // ----------- // -- Value -- // ----------- // All VM values fit in a universal value datatype. using ValueBits = uintptr_t; using ValueMask = ValueBits; enum class Value : ValueBits { nil = 0x00, // distinguished NIL value t = 0x10, // distinguished T value }; // -- Testing for nil value. constexpr Value null(Value v) { return v == Value::nil ? Value::t : Value::nil; } // -- Convert VM Boolean value to C++ view constexpr bool to_bool(Value v) { return v != Value::nil; } // -- Convert a C++ Boolean value to VM view. constexpr Value to_value(bool b) { return b ? Value::t : Value::nil; } // -- Identity equality. constexpr Value eq(Value x, Value y) { return to_value(x == y); } template struct ValueTrait { }; // Return the tag of an abstract value, when viewed as a potential // T-value. template constexpr ValueBits tag(Value v) { return ValueBits(v) & ValueTrait::tag_mask; } // Return true if the abstract value is, in fact, a T-value. template constexpr bool is(Value v) { return tag(v) == ValueTrait::tag; } // Return the pristine bits of an abstract value without its tag. template constexpr ValueBits native(Value v) { return ValueBits(v) & ~ValueTrait::tag_mask; } // -- Arity: number of arguments or forms taken by a function // or a special operator. enum class Arity : intptr_t { variable = -1, // Any number of arguments. zero = 0, // Exactly no argument. one = 1, // Exactly one argument. two = 2, // Exactly two arguments. three = 3, // Exactly three arguments. }; // ------------- // -- Dynamic -- // ------------- // Any internal value is of a class derived from this. internal_type Dynamic { struct Visitor; virtual ~Dynamic(); virtual void accept(Visitor&) const = 0; }; // Provide an S-view of a T-typed expression, assuming the type T // derives from S. template inline const S& as(const T& t) { return t; } template<> struct ValueTrait { enum Tag : ValueBits { tag = 0x6 }; enum Mask : ValueBits { tag_mask = 0xF }; }; inline Dynamic* to_dynamic(Value v) { return reinterpret_cast(native(v)); } inline Dynamic* to_dynamic_if_can(Value v) { return is(v) ? to_dynamic(v) : nullptr; } template using IfDynamic = typename std::enable_if::value, Value>::type; template inline IfDynamic to_value(const T* o) { return Value(ValueBits(o) | ValueTrait::tag); } // -- Callable -- struct Callable : Dynamic { }; // ------------- // -- Fixnum --- // ------------- // VM integers are divided into classes: small numbers, // and large numbers. A small number fits entirely in a register. // A large number is allocated and represented by its address. using FixnumBits = intptr_t; enum class Fixnum : FixnumBits { minimum = FixnumBits(~(~ValueBits() >> 2)), zero = FixnumBits(0), one = FixnumBits(1), maximum = FixnumBits(~ValueBits() >> 2), }; template<> struct ValueTrait { enum Tag : ValueBits { tag = 0x1 }; enum Mask : ValueBits { tag_mask = 0x1 }; }; constexpr Fixnum to_fixnum(Value v) { return Fixnum(FixnumBits(v) >> 1); } constexpr Value from_fixnum(Fixnum i) { return Value((ValueBits(i) << 1 ) | ValueTrait::tag); } // ------------ // -- String -- // ------------ using String = InternedString; template<> struct ValueTrait { enum Tag : ValueBits { tag = 0x4 }; enum Mask : ValueBits { tag_mask = 0x7 }; }; inline InternedString to_string(Value v) { return reinterpret_cast(native(v)); } inline Value from_string(InternedString s) { return Value(ValueBits(s) | ValueTrait::tag); } inline InternedString to_string_if_can(Value v) { return is(v) ? to_string(v) : nullptr; } // ------------- // -- Pointer -- // ------------- // Allocated objects are represented by their addresses. using Memory::Pointer; template<> struct ValueTrait { enum Tag : ValueBits { tag = 0x0 }; enum Mask : ValueBits { tag_mask = 0x7 }; }; inline Pointer to_pointer(Value v) { return Pointer(ValueBits(v)); } inline Value from_pointer(Pointer p) { return Value(ValueBits(p) | ValueTrait::tag); } // ---------- // -- Pair -- // ---------- struct alignas(8) ConsCell { Value head; Value tail; }; using Pair = ConsCell*; template<> struct ValueTrait { enum Tag : ValueBits { tag = 0x2 }; enum Mask : ValueBits { tag_mask = 0x7 }; }; inline Pair to_pair(Value v) { return reinterpret_cast(native(v)); } inline Value from_pair(Pair p) { return Value(ValueBits(p) | ValueTrait::tag); } // Return true if argument designates a pair. constexpr Value consp(Value v) { return to_value(v != Value::nil and v != Value::t and is(v)); } inline Value atom(Value v) { return null(consp(v)); } // If `v' designates a pair, return a pointer to its // concrete representation. inline Pair to_pair_if_can(Value v) { return consp(v) == Value::t ? to_pair(v) : nullptr; } Fixnum count_nodes(Pair); inline Fixnum count_nodes(Value v) { if (auto p = to_pair_if_can(v)) return count_nodes(p); return Fixnum::zero; } // --------------- // -- Character -- // --------------- // This datatype is prepared for Uncode characters even if // we do not handle UCN characters at the moment. enum class Character : ValueBits { }; template<> struct ValueTrait { enum Tag : ValueBits { tag = 0xE }; enum Mask : ValueBits { tag_mask = 0xF }; }; constexpr Character to_character(Value v) { return Character(ValueBits(v) >> 4); } constexpr Value from_character(Character c) { return Value((ValueBits(c) << 4) | ValueTrait::tag); } // -- Object -- // An object is a typed value. struct Type; struct Object { Value value; const Type* type; }; struct Package; enum class SymbolAttribute : ValueBits { None = 0x0, // No particular attribute. Constant = 0x1, // Symbol defined constant. Special = 0x2, // Symbol declared special. Keyword = 0x4, // A keyword symbol. SpecialConstant = Constant | Special, }; constexpr SymbolAttribute operator&(SymbolAttribute x, SymbolAttribute y) { return SymbolAttribute(ValueBits(x) & ValueBits(y)); } // ------------ // -- Symbol -- // ------------ struct Symbol : Dynamic { const InternedString name; Value value; const Callable* function; Pair properties; Package* package; SymbolAttribute attributes; explicit Symbol(InternedString); void accept(Visitor&) const override; bool has(SymbolAttribute x) const { return (attributes & x) == x; } }; inline Symbol* to_symbol_if_can(Value v) { return dynamic_cast(to_dynamic_if_can(v)); } inline bool is_symbol(Value v) { return to_symbol_if_can(v) != nullptr; } // -- Test if a value is a symbol. inline Value symbolp(Value v) { return to_value(v == Value::nil or v == Value::t or is_symbol(v)); } // -- Test if a value is a keyword symbol. inline Value keywordp(Value v) { if (auto sym = to_symbol_if_can(v)) return to_value(sym->has(SymbolAttribute::Keyword)); return Value::nil; } struct CmpByName { template bool operator()(const T& x, const T& y) const { return std::less()(x.name, y.name); } }; template inline const T* setf_symbol_function(Symbol* sym, const T* fun) { sym->function = fun; return fun; } // -- Argument binding as value. // Binding a parameter to a value in a call. struct Binding : Dynamic { Symbol* symbol; Value value; void accept(Visitor&) const override; }; // -- Environments. struct Environment { struct Binding { Symbol* symbol; Value value; }; Environment(); ~Environment(); void bind(Symbol*, Value); Binding* lookup(InternedString); private: std::vector lexical; std::vector dynamic; }; // ------------- // -- Package -- // ------------- struct Package : Dynamic { const InternedString name; std::set symbols; explicit Package(InternedString); void accept(Visitor&) const override; Symbol* make_symbol(InternedString); Symbol* find_symbol(InternedString); }; // -------------- // -- Function -- // -------------- struct FunctionBase : Callable { const Symbol* name; Value type; FunctionBase(const Symbol* n, Value t = Value::nil) : name(n), type(t) { } void accept(Visitor&) const override; }; // ------------------------ // -- Builtin Operations -- // ------------------------ // Types for native implementation of builtin operators. struct BasicContext; template using RuntimeOperation = Value(*)(BasicContext*, Ts...); using NullaryCode = RuntimeOperation<>; using UnaryCode = RuntimeOperation; using BinaryCode = RuntimeOperation; using TernaryCode = RuntimeOperation; template struct BuiltinFunction : FunctionBase { Code code; BuiltinFunction(const Symbol* n, Code c) : FunctionBase(n), code(c) { } void accept(Visitor&) const override; }; using NullaryOperator = BuiltinFunction; using UnaryOperator = BuiltinFunction; using BinaryOperator = BuiltinFunction; using TernaryOperator = BuiltinFunction; // -- Operand stack. struct OperandStack : private std::vector { using super = std::vector; using iterator = std::reverse_iterator; using super::size; using super::empty; iterator begin() { return rbegin(); } iterator end() { return rend(); } Value top() { return back(); } void push(Value v) { push_back(v); } Value pop() { auto v = back(); pop_back(); return v; } void operator-=(std::size_t i) { resize(size() - i); } Value operator[](std::size_t i) { return super::operator[](size() - i - 1); } }; // -- Dynamic::Visitor -- struct Dynamic::Visitor { virtual void visit(const Symbol&) = 0; virtual void visit(const Binding&) = 0; virtual void visit(const Package&) = 0; virtual void visit(const FunctionBase&) = 0; virtual void visit(const NullaryOperator&); virtual void visit(const UnaryOperator&); virtual void visit(const BinaryOperator&); }; template void BuiltinFunction::accept(Visitor& v) const { v.visit(*this); } // ------------------ // -- BasicContext -- // ------------------ // Provides basic evaluation services. struct BasicContext : StringPool { BasicContext(); ~BasicContext(); Package* make_package(InternedString); Symbol* make_keyword(InternedString); Pair make_pair(Value, Value); const NullaryOperator* make_operator(Symbol*, NullaryCode); const UnaryOperator* make_operator(Symbol*, UnaryCode); const BinaryOperator* make_operator(Symbol*, BinaryCode); const TernaryOperator* make_operator(Symbol*, TernaryCode); Package* keyword_package() const { return keywords; } Package* homeless_package() const { return homeless; } protected: std::set packages; Memory::Factory conses; Memory::Factory nullaries; Memory::Factory unaries; Memory::Factory binaries; Memory::Factory ternaries; Package* keywords; Package* homeless; }; }; } #endif // OPENAXIOM_VM_INCLUDED