(;; SCCS : @(#)ARITH.LSP 3.14 2/4/86 ;;; File : $xerox/arith.lsp ;;; Author : Richard A. O'Keefe ;;; Purpose: Define the arithmetic instructions. PROGN ;;; ------------------------------------------------------------------------ ;; ;; WARNING: This material is CONFIDENTIAL and proprietary to Quintus ;; Computer Systems Inc. This notice is protection against inadvertent ;; disclosure and does not constitute publication or reflect any intent ;; to publish. ;; ;; Copyright (C) 1985, by Quintus Computer Systems, Inc. ;; All rights reserved. ;; ;; CAVEAT LECTOR: This software is under development. No warrantee is ;; made that it is any use for anything at all. ;; ;;; ------------------------------------------------------------------------ ;;; ------------------------------------------------------------------------ ;; ;; The D-machine version of the arithmetic instructions differs from ;; the VAX and Sun emulators. Instead of holding unboxed numbers, T0 ;; and T1 hold ordinary Lisp pointers to SMALLPs, FIXPs, FLOATPs, or ;; whatever. There are several reasons for this. One is that it is ;; easiest to do it this way. Another important one is that in JAZZ ;; I am told there will be BIGNUMs, so that the two-fold distinction ;; which that VAX and Sun emulators assume will not be adequate. As ;; a consequence of this change, there is no distinction between the ;; two modes here as there is in the VAX/Sun versions: we always stay ;; in whatever mode we happened to be in when we started. ;; ;; A difference between the Lisp emulator and the existing emulators ;; is the way that division by zero is handled. The existing ;; emulators check for zero and simply fail. Arithmetic overflow ;; is handling by taking whatever the hardware gives you for integers, ;; and infinities for floating point numbers. Allowing infinities ;; was a glaringly stupid mistake, we cannot possibly make that work ;; on the VAX nor on the 1108, and we may change the SUN version to ;; trap floating point overflows as well. The Koto version of Lisp ;; supports bignums, so integer overflow isn't a problem. But we ;; want to do something sensible with floating pointer overflow and ;; all kinds of integer division as well, so we run with (OVERFLOW T) ;; enabled. Floating overflow is supposed to be caught; for some ;; reason zero divide is slipping through. ;; (raw.float) ;; Takes the floating point number in T0 and turns it into a FIXP ;; with the same bits. T0 is first floated, if necessary. (def.both.mode raw.float (extend) (LET ((Ptr (FLOAT (get.nb T0)) )) (put.nb T0 (\MAKENUMBER (\GETBASE Ptr 0) (\GETBASE Ptr 1))) ) (continue 0) ) ;; (float) ;; ensures that T0 is a floating point number. (def.both.mode float (extend) (if (NOT (FLOATP (get.nb T0))) then (put.nb T0 (FLOAT (get.nb T0)) )) (continue 0) ) ;; (fix) ;; ensures that T0 is a fixed point number. ;; Note that this can cause an overflow trap. (def.both.mode fix (extend) (if (FLOATP (get.nb T0)) then (put.nb T0 (FIX (get.nb T0)) )) (continue 0) ) ;; (minus) ;; negates a number. ;; does (IMINUS -2^31) cause an integer overflow trap? It should. (def.both.mode minus (extend) (put.nb T0 (MINUS (get.nb T0))) (continue 0) ) ;; (boolean.not) ;; takes the complement of a number. (def.both.mode boolean.not (extend) (put.nb T0 (LOGNOT (get.nb T0))) (continue 0) ) ;; All the two-argument arithmetic operations follow a common pattern. ;; They just apply a Lisp function to T0 and T1, and put the result in ;; T0. So, to save my effort, they are defined via a macro. (def.macro def.binop (Op Fn) `(def.both.mode ,Op (extend) (put.nb T0 (,Fn (get.nb T1) (get.nb T0)) ) (continue 0) ) ) (def.binop add PLUS) (def.binop subtract DIFFERENCE) (def.binop multiply TIMES) (def.binop divide FQUOTIENT) (def.binop integer.divide IQUOTIENT) (def.binop modulus REMAINDER) (def.binop boolean.and LOGAND) (def.binop boolean.or LOGOR) (def.binop boolean.xor LOGXOR) (def.binop left.shift LSH) ; *NOT* LLSH (def.binop right.shift RSH) ; *NOT* LRSH ;; There are two versions of each arithmetic relation. ;; succeeds if the relation holds, fails otherwise. ;; falls through if the relation holds, or ;; jumps to L if the relation fails to hold. For convenience, ;; the jump instructions are like other jumps, [opcode:8|addr:24] ;; and the other ones are [extend:8|opcode:8]. As a matter of ;; fact, these instructions can only appear at the end of a ;; block of arithmetic instructions, so if we arranged for load ;; instructions to set read mode, we could double up the other ;; arithmetic instructions, particularly the jumps and stores. (def.macro def.relop (Fn Op1 Op2) `(PROGN (def.both.mode ,Op1 (extend) (if (,Fn (get.nb T1) (get.nb T0)) then (continue 0) else (fast.fail) ) ) (def.both.mode ,Op2 (address) (if (,Fn (get.nb T1) (get.nb T0)) then (continue 1) else (continue.at (address.operand)) ) ) ) ) (def.relop EQP equal.to equal.to.else) (def.relop (LAMBDA (X Y) (NOT (EQP X Y))) not.equal.to not.equal.to.else) (def.relop LESSP less.than less.than.else) (def.relop GEQ not.less.than not.less.than.else) (def.relop GREATERP greater.than greater.than.else) (def.relop LEQ not.greater.than not.greater.than.else) ;; (store.variable.Xn n) ;; stores the number in T0 in the previously uninitialised variable Xn. ;; We set the tag of T0, but it is safe to continue in arithmetic mode, ;; because the arithmetic operations ignore that tag. We have to use ;; tag.other here rather than tag.number because, thanks to the new ;; improved choice point code, T0 might be a Prolog choice point handle. (def.macro store.variable (store) `(LET ((Ptr (get.nb T0))) (if (AND (NOT (SMALLP Ptr)) (NUMBERP Ptr)) then (QP.ADD.REF Ptr) ; FIXP, BIGNUM, FLOATP ) (,store N (tag.other Ptr)) ) ) (def.both.mode store.variable.Xn (areg) (store.variable put.Aval) (continue 0) ) ;; (store.variable.XnM n) ;; is for the X registers stored in memory. (def.both.mode store.variable.XnM (amem) (store.variable put.Amem) (continue 0) ) ;; (store.variable.Yn n) ;; is much the same. (def.both.mode store.variable.Yn (yreg) (store.variable put.Yval) (continue 0) ) ;; (store.value.Xn n) and ;; (store.value.Yn n) ;; are really a form of unification. For the moment, the simplest ;; thing to do is to set up T0 and T1 and go ahead with a call to ;; the general unifier. We could save some time by making a special ;; case unify.constant routine, but it wouldn't save all that much ;; effort, as we still have to check for boxed numbers. Because ;; maintaining Lisp reference counts is so expensive, we want to ;; avoid calling QP.ADD.REF if we possibly can. The same criteria ;; apply to all flavours of store value, even store.value.Xn, as ;; Xn might hold an unbound variable. So the store.value macro ;; packages up the reference count maintenance and tag repair for ;; all flavours of store.value. We use tag.other because gettopval ;; is sometimes used to load procedure record addresses! (def.open store.value () (LET ((Ptr (get.nb T0))) (if (AND (EQ (tag.of T1) ref.tag.8) ; might store into memory (NOT (SMALLP Ptr)) ; might need a ref count (NUMBERP Ptr)) then ; filter out BLOCKDATAPs (QP.ADD.REF Ptr) ) (put.32 T0 (tag.other Ptr)) ) (unify.and.continue 0) ) (def.both.mode store.value.Xn (areg) (put.32 T1 (get.Aval N)) (store.value) ) (def.both.mode store.value.XnM (amem) (put.32 T1 (get.Amem N)) (store.value) ) (def.both.mode store.value.Yn (yreg) (put.32 T1 (get.Yval N)) (store.value) ) ;; (store.integer cell) and ;; (store.float cell) ;; could be done the same way, by just going off to the general unifier. ;; Indeed, the whole of the "store" family could be handled by just the ;; store.variable.An instruction, followed by unification against that ;; A register. store.integer can check immediately for a FIXP, and ;; store.float can check immediately for a FLOATP; this is no real gain ;; as these instructions are vanishingly rare. (def.both.mode store.integer (extend cell) (put.32 T1 (cell.operand)) (if (AND (FIXP (get.nb T0)) (EQP (get.nb T0) (get.nb T1)) ) then (continue 2) else (fast.fail) ) ) (def.both.mode store.float (extend cell) (put.32 T1 (cell.operand)) (if (AND (FLOATP (get.nb T0)) (EQP (get.nb T0) (get.nb T1)) ) then (continue 2) else (fast.fail) ) ) ;; In an earlier version of this file, the load instructions used to ;; demand that an integer or float be yielded. But now that BIGNUMS ;; are available, this is no longer right, and more importantly, the ;; pseudo-Prolog code that maintains dynamic clauses expects X =\= 0 ;; to work correctly for any "address" X. So now we accept any kind ;; of constant. If we do arithmetic on a non-numeric value, Inter- ;; LOSS is perfectly capable of spotting the error and reporting it. ;; As we don't check, "Y = a, X is Y" will succeed in compiled code, ;; and it isn't supposed to (and won't in interpreted code). We can ;; live with that. When we find a constant, we leave the tag in T0. ;; It doesn't matter, nothing is going to look at it. The final (?) ;; idea is to reject atoms but accept "others". (def.subr load.value.error () ; print an error message ;; Check whether we can change (MKATOM &) -> & (QP.PUT.TOKEN.SYMBOL QP.CURRENT.OUTPUT (MKATOM "% [Warning: Arithmetic predicate has failed - tried to evaluate a non number]% [ Use the interpreter and debugger to locate this error]% " ) 0) (fast.fail) ) (def.open load.value () (PROG (Tag) (while (EQ (SETQ Tag (tag.of T0)) ref.tag.8) ;; variable. Dereference, see if unbound. (put.24 R (untag.ref T0)) (put.32 T0 (get.cell R 0)) (if (EQ (get.nb T0) (get.24 R)) then (load.value.error) ; unbound variable, never ok ) ) (if (ILESSP Tag immed.tag.8) then (load.value.error) ; not a constant ) ) ;; T0 is a smallp, fixp, floatp, or "other" (continue 0) ) (def.both.mode load.value.Xn (areg) (put.32 T1 (get.32 T0)) ; "push" T0 (put.32 T0 (get.Aval N)) (load.value) ) (def.both.mode load.value.XnM (amem) (put.32 T1 (get.32 T0)) ; "push" T0 (put.32 T0 (get.Amem N)) ; #TAIL (load.value) ) (def.both.mode load.value.Yn (yreg) (put.32 T1 (get.32 T0)) ; "push" T0 (put.32 T0 (get.Yval N)) (load.value) ) ;; When it comes to loading a constant, we don't need to have separate ;; load.integer and load.float instructions. The Sun/VAX emulators use ;; them so that (1) they can work out fast what mode they are supposed ;; to be in, and (2) they can put 32-bit boxed numbers in line in the ;; code. We don't use the mode that way, and there isn't any advantage ;; to having in-line constants. Indeed, it'd cost us more boxing. ;; So there is only the ;; (load.constant cell) ;; instruction, which copies the pointer part of the cell to T0. (The ;; tag is copied too, but nobody cares about that.) (def.both.mode load.constant (extend cell) (put.32 T1 (get.32 T0)) ; "push" T0 (put.32 T0 (cell.operand)) (continue 2) ) ;; There are four instructions which take 16-bit integer arguments. ;; load.{pos/neg}.word are there for compactness; they are one word ;; shorter than load.cell. All things considered, I wonder if I am ;; wise to keep them? (def.both.mode load.pos.word (extend word) (put.32 T1 (get.32 T0)) (put.nb T0 (get.code P 0)) (continue 1) ) (def.both.mode load.neg.word (extend word) (put.32 T1 (get.32 T0)) (put.nb T0 (\VAG2 (CONSTANT (\HILOC -1)) (get.code P 0))) (continue 1) ) ;; add.{pos/neg}.word add a 17-bit integer to T0. They have to do ;; this without disturbing T1, so we use R as a scratch register. ;; This really needs some thought. add.constant would be one word ;; longer, and would not be all that much slower. (def.both.mode add.pos.word (extend word) (put.nb T0 (PLUS (get.nb T0) (get.code P 0))) (continue 1) ) (def.both.mode add.neg.word (extend word) (put.nb T0 (PLUS (get.nb T0) (\VAG2 (CONSTANT (\HILOC -1)) (get.code P 0)))) (continue 1) ) ) STOP