// Copyright (C) 2011, 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 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 not occupy 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. // // * Assumptions: // (a) the host machine has sizeof(Value) quo 4 = 0. // (b) allocatd 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 bits // that we can use to categorize values. // Therefore we arrive at the first design: // I. the value representation of small integer always have the // the least significant bit set. All other bits are // significant in representing small integers. 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 must have the last two bits cleared. // In consequence, the last four bits of all foreign addresses // follow the pattern 0bxx00. // // As a consequence, the second bit of a cons cell value must be set // so that we can distinguish it from foreign pointers. // // 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. // We set their last 4 bit to the pattern 0b0110. // // Finally: // V. 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 4-byte boundaries. // ----------- // -- Value -- // ----------- // All VM values fit in a universal value datatype. typedef uintptr_t Value; // ------------- // -- 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. typedef intptr_t Fixnum; const Value fix_tag = 0x1; inline bool is_fixnum(Value v) { return (v & 0x1) == fix_tag; } inline Fixnum to_fixnum(Value v) { return Fixnum(v >> 1); } inline Value from_fixnum(Fixnum i) { return (Fixnum(i) << 1 ) | fix_tag; } // ------------- // -- Pointer -- // ------------- // Allocated objects are represented by their addresses. using Memory::Pointer; const Value ptr_tag = 0x0; inline bool is_pointer(Value v) { return (v & 0x3) == 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; ConsCell(Value h, Value t) : head(h), tail(t) { } }; typedef ConsCell* Pair; const 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 pair_if_can(Value v) { return is_pair(v) ? to_pair(v) : 0; } // ------------ // -- Object -- // ------------ struct BasicObject; typedef BasicObject* Object; const Value obj_tag = 0x6; inline bool is_object(Value v) { return (v & 0xF) == obj_tag; } inline Object to_object(Value v) { return Object(v & ~0xF); } inline Value from_object(Object* o) { return Value(o) | obj_tag; } // --------------- // -- Character -- // --------------- // This datatype is prepared for Uncode characters even if // we do not handle UCN characters. typedef Value Character; const Value char_tag = 0xE; inline bool is_character(Value v) { return (v & 0xF) == char_tag; } inline Character to_character(Value v) { return Character(v >> 4); } inline Value from_character(Character c) { return (Value(c) << 4) | char_tag; } // -- // -- Builtin Operations // -- // Types for native implementation of builtin operators. struct BasicContext; typedef Value (*NullaryCode)(BasicContext*); typedef Value (*UnaryCode)(BasicContext*, Value); typedef Value (*BinaryCode)(BasicContext*, Value, Value); typedef Value (*TernaryCode)(BasicContext*, Value, Value, Value); // ------------------ // -- BasicContext -- // ------------------ // Provides basic evaluation services. struct BasicContext : StringPool { BasicContext(); Pair make_cons(Value, Value); protected: Memory::Factory conses; }; }; } #endif // OPENAXIOM_VM_INCLUDED