;;; -*- Mode: Lisp; Package: Maxima; Syntax: Common-Lisp; Base: 10 -*- ;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; The data in this file contains enhancments. ;;;;; ;;; ;;;;; ;;; Copyright (c) 1984,1987 by William Schelter,University of Texas ;;;;; ;;; All rights reserved ;;;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; (c) Copyright 1980 Massachusetts Institute of Technology ;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; (in-package :maxima) (macsyma-module ratmac macro) ;; Macros for manipulating rational functions. (defmacro pcoefp (e) `(atom ,e)) (proclaim '(inline pzerop)) (defun pzerop (x) (if (fixnump x) (zerop (the fixnum x)) (if (consp x) nil (and (floatp x) (zerop x))))) (defmacro pzero () 0) (defmacro ptzerop (terms) `(null ,terms)) ;for poly terms (defmacro ptzero () '()) (defmacro czerop (c) `(pzerop ,c)) (defmacro cminus (c) `(- ,c)) (defmacro cminusp (c) `(minusp ,c)) ;; the rational function package uses GENSYM's to represent variables. ;; The PDP-10 implementation used to use the PRINTNAME of the gensym ;; as a place to store a VALUE. Somebody changed this to value-cell instead, ;; even though using the value-cell costs more. Anyway, in NIL I want it ;; to use the property list, as thats a lot cheaper than creating a value ;; cell. Actually, better to use the PACKAGE slot, a kludge is a kludge right? (defmacro valget (item) `(symbol-value ,item)) (defmacro valput (item val) `(setf (symbol-value ,item) ,val)) ;; A historical note from Richard Fateman, on the maxima list, ;; 2006/03/17: ;; ;; "The name pointerp comes from the original hack when we wanted a ;; bunch of atoms that could be ordered fast, we just generated, say, ;; 10 gensyms. Then we sorted them by the addresses of the symbols in ;; memory. Then we associated them with x,y,z,.... This meant that ;; pointergp was one or two instructions on a PDP-10, in assembler." ;; ;; "That version of pointergp turned out to be more trouble than it was ;; worth because we sometimes had to interpolate between two gensym ;; "addresses" and to do that we had to kind of renumber too much of ;; the universe. Or maybe we just weren't clever enough to do it ;; without introducing bugs." ;; ;; Richard Fateman also says pointergp needs to be fast because it's ;; called a lot. So if you get an error from pointergp, it's probably ;; because someone forgot to initialize things correctly. (proclaim '(inline pointergp)) (defun pointergp (a b) (> (symbol-value a) (symbol-value b))) ;;(macro ALGV (L) `(AND $ALGEBRAIC (GET ,(CADR L) 'TELLRAT))) (defmacro algv (v) `(and $algebraic (get ,v 'tellrat))) (defmacro eqn (&rest l) `(equal . ,l)) (defmacro rzero () ''(0 . 1)) (defmacro rzerop (a) `(pzerop (car ,a))) (defmacro primpart (p) `(cadr (oldcontent ,p))) ;;poly constructor (defmacro make-poly (var &optional (terms-or-e nil options?) (c nil e-c?) (terms nil terms?)) (cond ((null options?) `(cons ,var '(1 1))) ((null e-c?) `(psimp ,var ,terms-or-e)) ((null terms?) `(list ,var ,terms-or-e ,c)) (t `(psimp ,var (list* ,terms-or-e ,c ,terms))))) ;;Poly selector functions (defmacro p-var (p) `(car ,p)) (defmacro p-terms (p) `(cdr ,p)) (defmacro p-lc (p) `(caddr ,p)) ;leading coefficient (defmacro p-le (p) `(cadr ,p)) (defmacro p-red (p) `(cdddr ,p)) ;;poly terms selectors (defmacro pt-lc (terms) `(cadr ,terms)) (defmacro pt-le (terms) `(car ,terms)) (defmacro pt-red (terms) `(cddr ,terms)) ;; Taken from SININT and RISCH. Somebody document these please. (defmacro r+ (r . l) (cond ((null l) r) (t `(ratpl ,r (r+ ,@l))))) (defmacro r* (r . l) (cond ((null l) r) (t `(ratti ,r (r* ,@l) t)))) (defmacro r- (r . l) (cond ((null l) `(ratminus (ratfix ,r))) (t `(ratdif (ratfix ,r) (r+ ,@l))))) (defvar $ratvarswitch t)