src/strmac.lisp

   1 ;;; -*-  Mode: Lisp; Package: Maxima; Syntax: Common-Lisp; Base: 10 -*- ;;;;
   2 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
   3 ;;;     The data in this file contains enhancments.                    ;;;;;
   4 ;;;                                                                    ;;;;;
   5 ;;;  Copyright (c) 1984,1987 by William Schelter,University of Texas   ;;;;;
   6 ;;;     All rights reserved                                            ;;;;;
   7 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
   8 ;;;     (c) Copyright 1980 Massachusetts Institute of Technology         ;;;
   9 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
  10
  11 (in-package :maxima)
  12 (macsyma-module strmac macro)
  13
  14 ;; Data Representation macros.
  15
  16 ;; Hand coded macros for manipulating data structures in a simple
  17 ;; way, yet still preserving some abstraction.  Replacement for the mode
  18 ;; package.  We no longer know the type of things at run-time, so the names
  19 ;; of each macro must reflect the type of its operand, e.g.
  20 ;; RAT-NUMER versus MRAT-NUMER.
  21
  22 (defmacro make-g-rep (operator . operands)
  23   `(list (list ,operator) . ,operands))
  24 (defmacro make-g-rep-simp (operator . operands)
  25   `(list (list ,operator) . ,operands))
  26
  27 (defmacro g-rep-operator (exp) `(caar ,exp))
  28 (defmacro g-rep-operands (exp) `(cdr ,exp))
  29 (defmacro g-rep-first-operand (exp)
  30   `(cadr ,exp))
  31
  32 (defmacro make-mplus (&rest args) `(list '(mplus) . ,args))
  33 (defmacro make-mplus-l (llist) `(cons '(mplus) ,llist))
  34 (defmacro make-mplus-simp (&rest args) `(list '(mplus simp) . ,args))
  35
  36
  37
  38 (defmacro make-mtimes (&rest args) `(list '(mtimes) . ,args))
  39 (defmacro make-mtimes-l (llist) `(cons '(mtimes) ,llist))
  40 (defmacro make-mtimes-simp (&rest args) `(list '(mtimes simp) . ,args))
  41
  42 ;; losing MACLISP doesn't like BASE as a variable name !!
  43 (defmacro make-mexpt (thing-being-raised-to-power expt)
  44   `(list '(mexpt) ,thing-being-raised-to-power ,expt))
  45 (defmacro make-mexpt-l (llist) `(cons '(mexpt) ,llist))
  46 (defmacro make-mexpt-simp (thing-being-raised-to-power expt)
  47   `(list '(mexpt simp) ,thing-being-raised-to-power ,expt))
  48
  49 (defmacro mexpt-base (mexpt) `(cadr ,mexpt))
  50 (defmacro mexpt-expt (mexpt) `(caddr ,mexpt))
  51
  52 (defmacro make-mequal (lhs rhs) `(list '(mequal) ,lhs ,rhs))
  53 (defmacro make-mequal-l (llist) `(cons '(mequal) ,llist))
  54 (defmacro make-mequal-simp (lhs rhs) `(list '(mequal simp) ,lhs ,rhs))
  55
  56 (defmacro mequal-lhs (mequal) `(cadr ,mequal))
  57 (defmacro mequal-rhs (mequal) `(caddr ,mequal))
  58
  59 (defmacro make-mlist (&rest args) `(list '(mlist) . ,args))
  60 (defmacro make-mlist-l (llist) `(cons '(mlist) ,llist))
  61 (defmacro make-mlist-simp (&rest args) `(list '(mlist simp) . ,args))
  62
  63 (defmacro make-mtext (&rest args) `(list '(mtext) . ,args))
  64
  65 (defmacro make-rat (&rest args) `(list '(rat) . ,args))
  66 (defmacro make-rat-simp (&rest args) `(list '(rat simp) . ,args))
  67 (defmacro make-rat-body (numer denom) `(cons ,numer ,denom))
  68 (defmacro rat-numer (rat) `(cadr ,rat))
  69 (defmacro rat-denom (rat) `(caddr ,rat))
  70
  71 ;; Schematic of MRAT form:
  72 ;;  ((MRAT SIMP <varlist> <genvars>) <numer> . <denom>)
  73
  74 ;; Schematic of <numer> and <denom>:
  75 ;;  (<genvar> <exponent 1> <coefficient 1> ...)
  76
  77 ;; Representation for X^2+1:
  78 ;;  ((MRAT SIMP ($X) (G0001)) (G0001 2 1 0 1) . 1)
  79
  80 ;; Representation for X+Y:
  81 ;;  ((MRAT SIMP ($X $Y) (G0001 G0002)) (G0001 1 1 0 (G0002 1 1)) . 1)
  82
  83 (defmacro mrat-body  (mrat) `(cdr ,mrat))
  84 (defmacro mrat-numer (mrat) `(cadr ,mrat))
  85 (defmacro mrat-denom (mrat) `(cddr ,mrat))
  86
  87 (defmacro make-mrat (varlist genvars numer denom)
  88   `((mrat ,varlist ,genvars) ,numer . ,denom))
  89
  90 (defmacro make-mrat-body (numer denom) `(cons ,numer ,denom))
  91
  92 ;; Data structures used only in this file.
  93
  94 (defmacro trig-cannon (operator) `(get ,operator 'trig-cannon))
  95
  96 ;; Linear equation -- cons of linear term and constant term.
  97
  98 (defmacro make-lineq (linear constant) `(cons ,linear ,constant))
  99 (defmacro lineq-linear   (lineq) `(car ,lineq))
 100 (defmacro lineq-constant (lineq) `(cdr ,lineq))
 101
 102 ;; Solutions -- a pair of polynomial/multiplicity lists
 103
 104 (defmacro make-solution (wins losses) `(cons ,wins ,losses))
 105 (defmacro solution-wins   (solution) `(car ,solution))
 106 (defmacro solution-losses (solution) `(cdr ,solution))
 107
 108 ;; Polynomials -- these appear in the numerator or denominator
 109 ;; of MRAT forms.  This doesn't handle the case of a coefficient
 110 ;; polynomial.
 111
 112 (defmacro make-mrat-poly (var terms) `(cons ,var ,terms))
 113 (defmacro poly-var   (poly) `(car ,poly))
 114 (defmacro poly-terms (poly) `(cdr ,poly))
 115
 116 \f
 117