// Copyright (C) 2011-2013, 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 #if HAVE_STDINT_H # include #endif #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 to provide 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, // that is 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 allocated in internal obejcts. 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. // ----------- // -- Value -- // ----------- // All VM values fit in a universal value datatype. using Value = uintptr_t; // The distinguished `nil' value. constexpr Value nil { }; // ------------- // -- 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 Fixnum = intptr_t; constexpr Value fix_tag = 0x1; constexpr bool is_fixnum(Value v) { return (v & 0x1) == fix_tag; } constexpr Fixnum to_fixnum(Value v) { return Fixnum(v >> 1); } constexpr Value from_fixnum(Fixnum i) { return (Fixnum(i) << 1 ) | fix_tag; } constexpr Fixnum fixnum_maximum = to_fixnum(~Value{ }); constexpr Fixnum fixnum_minimum = -fixnum_maximum - 1; // ------------ // -- String -- // ------------ using String = BasicString; constexpr Value str_tag = 0x4; constexpr bool is_string(Value v) { return (v & 0x7) == str_tag; } inline BasicString to_string(Value v) { return reinterpret_cast(v & ~Value(0x7)); } inline Value from_string(BasicString s) { return Value(s) | str_tag; } inline BasicString to_string_if_can(Value v) { return is_string(v) ? to_string(v) : nullptr; } // ------------- // -- Pointer -- // ------------- // Allocated objects are represented by their addresses. using Memory::Pointer; constexpr Value ptr_tag = 0x0; constexpr bool is_pointer(Value v) { return (v & 0x7) == ptr_tag; } inline Pointer to_pointer(Value v) { return Pointer(v); } inline Value from_pointer(Pointer p) { return Value(p); } // ---------- // -- Pair -- // ---------- struct ConsCell { Value head; Value tail; }; using Pair = ConsCell*; constexpr Value pair_tag = 0x2; inline bool is_pair(Value v) { return (v & 0x7) == pair_tag; } inline Pair to_pair(Value v) { return Pair(v & ~0x7); } inline Value from_pair(Pair p) { return Value(p) | pair_tag; } // If `v' designates a pair, return a pointer to its // concrete representation. inline Pair to_pair_if_can(Value v) { return is_pair(v) ? 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 0; } // --------------- // -- Character -- // --------------- // This datatype is prepared for Uncode characters even if // we do not handle UCN characters at the moment. using Character = Value; constexpr Value char_tag = 0xE; constexpr bool is_character(Value v) { return (v & 0xF) == char_tag; } constexpr Character to_character(Value v) { return Character(v >> 4); } constexpr Value from_character(Character c) { return (Value(c) << 4) | char_tag; } // -- Object -- // An object is a typed value. struct Type; struct Object { Value value; const Type* type; }; // ------------- // -- Dynamic -- // ------------- // Any internal value is of a class derived from this. internal_type Dynamic { virtual ~Dynamic(); }; constexpr Value dyn_tag = 0x6; constexpr bool is_dynamic(Value v) { return (v & 0xF) == dyn_tag; } inline Dynamic* to_dynamic(Value v) { return reinterpret_cast(v & ~0xF); } inline Dynamic* to_dynamic_if_can(Value v) { return is_dynamic(v) ? reinterpret_cast(v & ~0xF) : nullptr; } inline Value from_dynamic(const Dynamic* o) { return Value(o) | dyn_tag; } struct Scope; // ------------ // -- Symbol -- // ------------ struct Symbol : Dynamic, std::pair { Symbol(String, Scope*); String name() const { return first; } Scope* scope() const { return second; } }; 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; } inline Value from_symbol(const Symbol* s) { return from_dynamic(s); } // ----------- // -- Scope -- // ----------- struct Scope : Dynamic, private std::map { explicit Scope(BasicString n) : id(n) { } BasicString name() const { return id; } Value* lookup(Symbol*) const; Value* define(Symbol*, Value); private: const BasicString id; }; // -------------- // -- Function -- // -------------- struct FunctionBase : Dynamic { const Symbol name; Value type; FunctionBase(Symbol n, Value t = nil) : name(n), type(t) { } }; // ------------------------ // -- Builtin Operations -- // ------------------------ // Types for native implementation of builtin operators. struct BasicContext; using NullaryCode = Value (*)(BasicContext*); using UnaryCode = Value (*)(BasicContext*, Value); using BinaryCode = Value (*)(BasicContext*, Value, Value); using TernaryCode = Value (*)(BasicContext*, Value, Value, Value); template struct BuiltinFunction : FunctionBase { Code code; BuiltinFunction(Symbol n, Code c) : FunctionBase(n), code(c) { } }; using NullaryOperator = BuiltinFunction; using UnaryOperator = BuiltinFunction; using BinaryOperator = BuiltinFunction; using TernaryOperator = BuiltinFunction; // ------------------ // -- BasicContext -- // ------------------ // Provides basic evaluation services. struct BasicContext : StringPool { BasicContext(); ~BasicContext(); Pair make_pair(Value, Value); const Symbol* make_symbol(String, Scope*); const NullaryOperator* make_operator(Symbol, NullaryCode); const UnaryOperator* make_operator(Symbol, UnaryCode); const BinaryOperator* make_operator(Symbol, BinaryCode); const TernaryOperator* make_operator(Symbol, TernaryCode); protected: std::set syms; Memory::Factory conses; Memory::Factory nullaries; Memory::Factory unaries; Memory::Factory binaries; Memory::Factory ternaries; }; }; } #endif // OPENAXIOM_VM_INCLUDED