;;; -*- Mode:LISP; Package:MACSYMA -*-
;; 
;; This program is free software; you can redistribute it and/or
;; modify it under the terms of the GNU General Public License as
;; published by the Free Software Foundation; either version 2 of
;; the License, or (at your option) any later version.
;;
;; This program is distributed in the hope that it will be
;; useful, but WITHOUT ANY WARRANTY; without even the implied
;; warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
;; PURPOSE.  See the GNU General Public License for more details.
;;
;; Comments: TeX formatting module for itensor.lisp
;;

(in-package :maxima)

;; top level command the result of tex'ing the expression x.
;; Lots of messing around here to get C-labels verbatim printed
;; and function definitions verbatim "ground"

;(defmspec $tex(l) ;; mexplabel, and optional filename
;  (let ((args (cdr l)))
;  (apply 'tex1  args)))
(defprop $dl "\\Delta" texword)
(defprop $divg "(\\nabla\\cdot G)" texword)
(defprop $og "(\\Omega\\cdot G)" texword)
(defprop $dl_1 "\\Delta^{\\star}" texword)
(defprop $dl_c "\\Delta_{\\chi}" texword)
(defprop $omega "\\Omega" texword)
(defprop $om "\\Omega^{\\star}" texword)
(defprop $dlt "\\delta" texword)
(defprop $phi  "\\Phi" texword)
(defprop $d_t  "\\frac{\\partial}{\\partial t}" texword)

(defprop $kdelta "\\delta" texword)
(defprop %kdelta "\\delta" texword)
(defprop $icurvature "\\cal{R}" texword)
(defprop %icurvature "\\cal{R}" texword)
(defprop $ichr1 "\\Gamma" texword)
(defprop %ichr1 "\\Gamma" texword)
(defprop $ichr2 "\\Gamma" texword)
(defprop %ichr2 "\\Gamma" texword)
;(defprop $icc1 "c" texword)
;(defprop %icc1 "c" texword)
;(defprop $icc2 "c" texword)
;(defprop %icc2 "c" texword)
(defprop $ifc1 "\\gamma" texword)
(defprop %ifc1 "\\gamma" texword)
(defprop $ifc2 "\\gamma" texword)
(defprop %ifc2 "\\gamma" texword)
(defprop $ifb "\\lambda" texword)
(defprop %ifb "\\lambda" texword)
;(defprop $ifr "e" texword)
;(defprop %ifr "e" texword)
;(defprop $ifri "e" texword)
;(defprop %ifri "e" texword)
(defprop $ifg "\\nu" texword)
(defprop $levi_civita  "\\varepsilon" texword)
(defprop %levi_civita  "\\varepsilon" texword)

;(defun $tentex (x) (meval (list '$tex (tenreform x))))
; Turn off simplification to avoid meval mangling indices
(defun $tentex (x) 
(let (($simp $simp))
     (setq $simp nil)
     (meval (list '$tex (tenreform x)))))

(defun tenreform (x)
  (cond
    ((atom x) x)
    ((atom (car x)) (cons (car x) (tenreform (cdr x))))
    (
      (rpobj x)
      (
        (lambda (u v) (cond (v (list '(mexpt simp) u v)) (t u)))
        (
          (lambda (y)
            (cond (y (cons (cons (name x) '(simp array)) y)) (t (name x)))
          )
          (append
            (and (covi x) (list (cons 'quote (list(cons '(mtimes simp) (covi x))))))
            (and
              (deri x)
              (list
                (cons
                  'quote (list(cons '(mtimes simp)
                  (append (and (not (covi x)) (deri x) '(",")) (deri x))))
                )
              )
            )
          )
        )
        (and (conti x) (cons 'quote (list(cons '(mtimes simp) (conti x)))))
      )
    )
    (t (cons (tenreform (car x)) (tenreform (cdr x))))
  )
)
