share/tensor/tentex.lisp

   1 ;;; -*- Mode:LISP; Package:MACSYMA -*-
   2 ;;
   3 ;; This program is free software; you can redistribute it and/or
   4 ;; modify it under the terms of the GNU General Public License as
   5 ;; published by the Free Software Foundation; either version 2 of
   6 ;; the License, or (at your option) any later version.
   7 ;;
   8 ;; This program is distributed in the hope that it will be
   9 ;; useful, but WITHOUT ANY WARRANTY; without even the implied
  10 ;; warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
  11 ;; PURPOSE.  See the GNU General Public License for more details.
  12 ;;
  13 ;; Comments: TeX formatting module for itensor.lisp
  14 ;;
  15
  16 (in-package :maxima)
  17
  18 ;; top level command the result of tex'ing the expression x.
  19 ;; Lots of messing around here to get C-labels verbatim printed
  20 ;; and function definitions verbatim "ground"
  21
  22 ;(defmspec $tex(l) ;; mexplabel, and optional filename
  23 ;  (let ((args (cdr l)))
  24 ;  (apply 'tex1  args)))
  25 (defprop $dl "\\Delta" texword)
  26 (defprop $divg "(\\nabla\\cdot G)" texword)
  27 (defprop $og "(\\Omega\\cdot G)" texword)
  28 (defprop $dl_1 "\\Delta^{\\star}" texword)
  29 (defprop $dl_c "\\Delta_{\\chi}" texword)
  30 (defprop $omega "\\Omega" texword)
  31 (defprop $om "\\Omega^{\\star}" texword)
  32 (defprop $dlt "\\delta" texword)
  33 (defprop $phi  "\\Phi" texword)
  34 (defprop $d_t  "\\frac{\\partial}{\\partial t}" texword)
  35
  36 (defprop $kdelta "\\delta" texword)
  37 (defprop %kdelta "\\delta" texword)
  38 (defprop $icurvature "\\cal{R}" texword)
  39 (defprop %icurvature "\\cal{R}" texword)
  40 (defprop $ichr1 "\\Gamma" texword)
  41 (defprop %ichr1 "\\Gamma" texword)
  42 (defprop $ichr2 "\\Gamma" texword)
  43 (defprop %ichr2 "\\Gamma" texword)
  44 ;(defprop $icc1 "c" texword)
  45 ;(defprop %icc1 "c" texword)
  46 ;(defprop $icc2 "c" texword)
  47 ;(defprop %icc2 "c" texword)
  48 (defprop $ifc1 "\\gamma" texword)
  49 (defprop %ifc1 "\\gamma" texword)
  50 (defprop $ifc2 "\\gamma" texword)
  51 (defprop %ifc2 "\\gamma" texword)
  52 (defprop $ifb "\\lambda" texword)
  53 (defprop %ifb "\\lambda" texword)
  54 ;(defprop $ifr "e" texword)
  55 ;(defprop %ifr "e" texword)
  56 ;(defprop $ifri "e" texword)
  57 ;(defprop %ifri "e" texword)
  58 (defprop $ifg "\\nu" texword)
  59 (defprop $levi_civita  "\\varepsilon" texword)
  60 (defprop %levi_civita  "\\varepsilon" texword)
  61
  62 (defun $tentex (x) (meval (list '$tex (tenreform x))))
  63
  64 (defun tenreform (x)
  65   (cond
  66     ((atom x) x)
  67     ((atom (car x)) (cons (car x) (tenreform (cdr x))))
  68     (
  69       (rpobj x)
  70       (
  71         (lambda (u v) (cond (v (list '(mexpt simp) u v)) (t u)))
  72         (
  73           (lambda (y)
  74             (cond (y (cons (cons (name x) '(simp array)) y)) (t (name x)))
  75           )
  76           (append
  77             (and (covi x) (list (cons 'quote (list(cons '(mtimes simp) (covi x))))))
  78             (and
  79               (deri x)
  80               (list
  81                 (cons
  82                   'quote (list(cons '(mtimes simp)
  83                   (append (and (not (covi x)) (deri x) '(",")) (deri x))))
  84                 )
  85               )
  86             )
  87           )
  88         )
  89         (and (conti x) (cons 'quote (list(cons '(mtimes simp) (conti x)))))
  90       )
  91     )
  92     (t (cons (tenreform (car x)) (tenreform (cdr x))))
  93   )
  94 )