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calc-lang.el
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;;; calc-lang.el --- calc language functions
;; Copyright (C) 1990-1993, 2001-2020 Free Software Foundation, Inc.
;; Author: David Gillespie <[email protected]>
;; This file is part of GNU Emacs.
;; GNU Emacs 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 3 of the License, or
;; (at your option) any later version.
;; GNU Emacs 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.
;; You should have received a copy of the GNU General Public License
;; along with GNU Emacs. If not, see <https://www.gnu.org/licenses/>.
;;; Commentary:
;;; Code:
;; This file is autoloaded from calc-ext.el.
(require 'calc-ext)
(require 'calc-macs)
;; Declare functions which are defined elsewhere.
(declare-function math-compose-vector "calccomp" (a sep prec))
(declare-function math-compose-var "calccomp" (a))
(declare-function math-tex-expr-is-flat "calccomp" (a))
(declare-function math-read-factor "calc-aent" ())
(declare-function math-read-expr-level "calc-aent" (exp-prec &optional exp-term))
;; Declare variables which are defined elsewhere.
(defvar calc-lang-slash-idiv)
(defvar calc-lang-allow-underscores)
(defvar calc-lang-allow-percentsigns)
(defvar math-comp-left-bracket)
(defvar math-comp-right-bracket)
(defvar math-comp-comma)
(defvar math-comp-vector-prec)
;;; Alternate entry/display languages.
(defun calc-set-language (lang &optional option no-refresh)
(setq math-expr-opers (or (get lang 'math-oper-table) (math-standard-ops))
math-expr-function-mapping (get lang 'math-function-table)
math-expr-variable-mapping (get lang 'math-variable-table)
calc-language-input-filter (get lang 'math-input-filter)
calc-language-output-filter (get lang 'math-output-filter)
calc-vector-brackets (or (get lang 'math-vector-brackets) "[]")
calc-complex-format (get lang 'math-complex-format)
calc-radix-formatter (get lang 'math-radix-formatter)
calc-function-open (or (get lang 'math-function-open) "(")
calc-function-close (or (get lang 'math-function-close) ")"))
(if no-refresh
(setq calc-language lang
calc-language-option option)
(calc-change-mode '(calc-language calc-language-option)
(list lang option) t)))
(defun calc-normal-language ()
(interactive)
(calc-wrapper
(calc-set-language nil)
(message "Normal language mode")))
(defun calc-flat-language ()
(interactive)
(calc-wrapper
(calc-set-language 'flat)
(message "Flat language mode (all stack entries shown on one line)")))
(defun calc-big-language ()
(interactive)
(calc-wrapper
(calc-set-language 'big)
(message "\"Big\" language mode")))
(defun calc-unformatted-language ()
(interactive)
(calc-wrapper
(calc-set-language 'unform)
(message "Unformatted language mode")))
(defun calc-c-language ()
(interactive)
(calc-wrapper
(calc-set-language 'c)
(message "C language mode")))
(put 'c 'math-oper-table
'( ( "u!" calcFunc-lnot -1 1000 )
( "~" calcFunc-not -1 1000 )
( "u+" ident -1 197 )
( "u-" neg -1 197 )
( "*" * 190 191 )
( "/" / 190 191 )
( "%" % 190 191 )
( "+" + 180 181 )
( "-" - 180 181 )
( "<<" calcFunc-lsh 170 171 )
( ">>" calcFunc-rsh 170 171 )
( "<" calcFunc-lt 160 161 )
( ">" calcFunc-gt 160 161 )
( "<=" calcFunc-leq 160 161 )
( ">=" calcFunc-geq 160 161 )
( "==" calcFunc-eq 150 151 )
( "!=" calcFunc-neq 150 151 )
( "&" calcFunc-and 140 141 )
( "^" calcFunc-xor 131 130 )
( "|" calcFunc-or 120 121 )
( "&&" calcFunc-land 110 111 )
( "||" calcFunc-lor 100 101 )
( "?" (math-read-if) 91 90 )
( "!!!" calcFunc-pnot -1 88 )
( "&&&" calcFunc-pand 85 86 )
( "|||" calcFunc-por 75 76 )
( "=" calcFunc-assign 51 50 )
( ":=" calcFunc-assign 51 50 )
( "::" calcFunc-condition 45 46 ))) ; should support full assignments
(put 'c 'math-function-table
'( ( acos . calcFunc-arccos )
( acosh . calcFunc-arccosh )
( asin . calcFunc-arcsin )
( asinh . calcFunc-arcsinh )
( atan . calcFunc-arctan )
( atan2 . calcFunc-arctan2 )
( atanh . calcFunc-arctanh )
( fma . (math-C-parse-fma))
( fmax . calcFunc-max )
( j0 . (math-C-parse-bess))
( jn . calcFunc-besJ )
( j1 . (math-C-parse-bess))
( yn . calcFunc-besY )
( y0 . (math-C-parse-bess))
( y1 . (math-C-parse-bess))
( tgamma . calcFunc-gamma )))
(defun math-C-parse-bess (f val)
"Parse C's j0, j1, y0, y1 functions."
(let ((args (math-read-expr-list)))
(math-read-token)
(append
(cond ((eq val 'j0) '(calcFunc-besJ 0))
((eq val 'j1) '(calcFunc-besJ 1))
((eq val 'y0) '(calcFunc-besY 0))
((eq val 'y1) '(calcFunc-besY 1)))
args)))
(defun math-C-parse-fma (f val)
"Parse C's fma function fma(x,y,z) => (x * y + z)."
(let ((args (math-read-expr-list)))
(math-read-token)
(list 'calcFunc-add
(list 'calcFunc-mul
(nth 0 args)
(nth 1 args))
(nth 2 args))))
(put 'c 'math-variable-table
'( ( M_PI . var-pi )
( M_E . var-e )))
(put 'c 'math-vector-brackets "{}")
(put 'c 'math-radix-formatter
(function (lambda (r s)
(if (= r 16) (format "0x%s" s)
(if (= r 8) (format "0%s" s)
(format "%d#%s" r s))))))
(put 'c 'math-compose-subscr
(function
(lambda (a)
(let ((args (cdr (cdr a))))
(list 'horiz
(math-compose-expr (nth 1 a) 1000)
"["
(math-compose-vector args ", " 0)
"]")))))
(add-to-list 'calc-lang-slash-idiv 'c)
(add-to-list 'calc-lang-allow-underscores 'c)
(add-to-list 'calc-lang-c-type-hex 'c)
(add-to-list 'calc-lang-brackets-are-subscripts 'c)
(defun calc-pascal-language (n)
(interactive "P")
(calc-wrapper
(and n (setq n (prefix-numeric-value n)))
(calc-set-language 'pascal n)
(message (if (and n (/= n 0))
(if (> n 0)
"Pascal language mode (all uppercase)"
"Pascal language mode (all lowercase)")
"Pascal language mode"))))
(put 'pascal 'math-oper-table
'( ( "not" calcFunc-lnot -1 1000 )
( "*" * 190 191 )
( "/" / 190 191 )
( "and" calcFunc-and 190 191 )
( "div" calcFunc-idiv 190 191 )
( "mod" % 190 191 )
( "u+" ident -1 185 )
( "u-" neg -1 185 )
( "+" + 180 181 )
( "-" - 180 181 )
( "or" calcFunc-or 180 181 )
( "xor" calcFunc-xor 180 181 )
( "shl" calcFunc-lsh 180 181 )
( "shr" calcFunc-rsh 180 181 )
( "in" calcFunc-in 160 161 )
( "<" calcFunc-lt 160 161 )
( ">" calcFunc-gt 160 161 )
( "<=" calcFunc-leq 160 161 )
( ">=" calcFunc-geq 160 161 )
( "=" calcFunc-eq 160 161 )
( "<>" calcFunc-neq 160 161 )
( "!!!" calcFunc-pnot -1 85 )
( "&&&" calcFunc-pand 80 81 )
( "|||" calcFunc-por 75 76 )
( ":=" calcFunc-assign 51 50 )
( "::" calcFunc-condition 45 46 )))
(put 'pascal 'math-input-filter 'calc-input-case-filter)
(put 'pascal 'math-output-filter 'calc-output-case-filter)
(put 'pascal 'math-radix-formatter
(function (lambda (r s)
(if (= r 16) (format "$%s" s)
(format "%d#%s" r s)))))
(put 'pascal 'math-lang-read-symbol
'((?\$
(eq (string-match
"\\(\\$[[:xdigit:]]+\\)\\($\\|[^0-9a-zA-Zα-ωΑ-Ω]\\)"
math-exp-str math-exp-pos)
math-exp-pos)
(setq math-exp-token 'number
math-expr-data (math-match-substring math-exp-str 1)
math-exp-pos (match-end 1)))))
(put 'pascal 'math-compose-subscr
(function
(lambda (a)
(let ((args (cdr (cdr a))))
(while (eq (car-safe (nth 1 a)) 'calcFunc-subscr)
(setq args (append (cdr (cdr (nth 1 a))) args)
a (nth 1 a)))
(list 'horiz
(math-compose-expr (nth 1 a) 1000)
"["
(math-compose-vector args ", " 0)
"]")))))
(add-to-list 'calc-lang-allow-underscores 'pascal)
(add-to-list 'calc-lang-brackets-are-subscripts 'pascal)
(defun calc-input-case-filter (str)
(cond ((or (null calc-language-option) (= calc-language-option 0))
str)
(t
(downcase str))))
(defun calc-output-case-filter (str)
(cond ((or (null calc-language-option) (= calc-language-option 0))
str)
((> calc-language-option 0)
(upcase str))
(t
(downcase str))))
(defun calc-fortran-language (n)
(interactive "P")
(calc-wrapper
(and n (setq n (prefix-numeric-value n)))
(calc-set-language 'fortran n)
(message (if (and n (/= n 0))
(if (> n 0)
"FORTRAN language mode (all uppercase)"
"FORTRAN language mode (all lowercase)")
"FORTRAN language mode"))))
(put 'fortran 'math-oper-table
'( ( "u/" (math-parse-fortran-vector) -1 1 )
( "/" (math-parse-fortran-vector-end) 1 -1 )
( "**" ^ 201 200 )
( "u+" ident -1 191 )
( "u-" neg -1 191 )
( "*" * 190 191 )
( "/" / 190 191 )
( "+" + 180 181 )
( "-" - 180 181 )
( ".LT." calcFunc-lt 160 161 )
( ".GT." calcFunc-gt 160 161 )
( ".LE." calcFunc-leq 160 161 )
( ".GE." calcFunc-geq 160 161 )
( ".EQ." calcFunc-eq 160 161 )
( ".NE." calcFunc-neq 160 161 )
( ".NOT." calcFunc-lnot -1 121 )
( ".AND." calcFunc-land 110 111 )
( ".OR." calcFunc-lor 100 101 )
( "!!!" calcFunc-pnot -1 85 )
( "&&&" calcFunc-pand 80 81 )
( "|||" calcFunc-por 75 76 )
( "=" calcFunc-assign 51 50 )
( ":=" calcFunc-assign 51 50 )
( "::" calcFunc-condition 45 46 )))
(put 'fortran 'math-vector-brackets "//")
(put 'fortran 'math-function-table
'( ( acos . calcFunc-arccos )
( acosh . calcFunc-arccosh )
( aimag . calcFunc-im )
( aint . calcFunc-ftrunc )
( asin . calcFunc-arcsin )
( asinh . calcFunc-arcsinh )
( atan . calcFunc-arctan )
( atan2 . calcFunc-arctan2 )
( atanh . calcFunc-arctanh )
( conjg . calcFunc-conj )
( log . calcFunc-ln )
( nint . calcFunc-round )
( real . calcFunc-re )))
(put 'fortran 'math-input-filter 'calc-input-case-filter)
(put 'fortran 'math-output-filter 'calc-output-case-filter)
(put 'fortran 'math-lang-read-symbol
'((?\.
(eq (string-match "\\.[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω]?\\."
math-exp-str math-exp-pos) math-exp-pos)
(setq math-exp-token 'punc
math-expr-data (upcase (math-match-substring math-exp-str 0))
math-exp-pos (match-end 0)))))
(put 'fortran 'math-compose-subscr
(function
(lambda (a)
(let ((args (cdr (cdr a))))
(while (eq (car-safe (nth 1 a)) 'calcFunc-subscr)
(setq args (append (cdr (cdr (nth 1 a))) args)
a (nth 1 a)))
(list 'horiz
(math-compose-expr (nth 1 a) 1000)
"("
(math-compose-vector args ", " 0)
")")))))
(add-to-list 'calc-lang-slash-idiv 'fortran)
(add-to-list 'calc-lang-allow-underscores 'fortran)
(add-to-list 'calc-lang-parens-are-subscripts 'fortran)
;; The next few variables are local to math-read-exprs in calc-aent.el
;; and math-read-expr in calc-ext.el, but are set in functions they call.
(defvar math-exp-token)
(defvar math-expr-data)
(defvar math-exp-old-pos)
(defvar math-parsing-fortran-vector nil)
(defun math-parse-fortran-vector (op)
(let ((math-parsing-fortran-vector '(end . "\000")))
(prog1
(math-read-brackets t "]")
(setq math-exp-token (car math-parsing-fortran-vector)
math-expr-data (cdr math-parsing-fortran-vector)))))
(defun math-parse-fortran-vector-end (x op)
(if math-parsing-fortran-vector
(progn
(setq math-parsing-fortran-vector (cons math-exp-token math-expr-data)
math-exp-token 'end
math-expr-data "\000")
x)
(throw 'syntax "Unmatched closing `/'")))
(defun math-parse-fortran-subscr (sym args)
(setq sym (math-build-var-name sym))
(while args
(setq sym (list 'calcFunc-subscr sym (car args))
args (cdr args)))
sym)
(defun calc-tex-language (n)
(interactive "P")
(calc-wrapper
(and n (setq n (prefix-numeric-value n)))
(calc-set-language 'tex n)
(cond ((not n)
(message "TeX language mode"))
((= n 0)
(message "TeX language mode with multiline matrices"))
((= n 1)
(message "TeX language mode with \\hbox{func}(\\hbox{var})"))
((> n 1)
(message
"TeX language mode with \\hbox{func}(\\hbox{var}) and multiline matrices"))
((= n -1)
(message "TeX language mode with \\func(\\hbox{var})"))
((< n -1)
(message
"TeX language mode with \\func(\\hbox{var}) and multiline matrices")))))
(defun calc-latex-language (n)
(interactive "P")
(calc-wrapper
(and n (setq n (prefix-numeric-value n)))
(calc-set-language 'latex n)
(cond ((not n)
(message "LaTeX language mode"))
((= n 0)
(message "LaTeX language mode with multiline matrices"))
((= n 1)
(message "LaTeX language mode with \\text{func}(\\text{var})"))
((> n 1)
(message
"LaTeX language mode with \\text{func}(\\text{var}) and multiline matrices"))
((= n -1)
(message "LaTeX language mode with \\func(\\text{var})"))
((< n -1)
(message
"LaTeX language mode with \\func(\\text{var}) and multiline matrices")))))
(put 'tex 'math-lang-name "TeX")
(put 'latex 'math-lang-name "LaTeX")
(put 'tex 'math-oper-table
'( ( "\\hat" calcFunc-hat -1 950 )
( "\\check" calcFunc-check -1 950 )
( "\\tilde" calcFunc-tilde -1 950 )
( "\\acute" calcFunc-acute -1 950 )
( "\\grave" calcFunc-grave -1 950 )
( "\\dot" calcFunc-dot -1 950 )
( "\\ddot" calcFunc-dotdot -1 950 )
( "\\breve" calcFunc-breve -1 950 )
( "\\bar" calcFunc-bar -1 950 )
( "\\vec" calcFunc-Vec -1 950 )
( "\\underline" calcFunc-under -1 950 )
( "u|" calcFunc-abs -1 0 )
( "|" closing 0 -1 )
( "\\lfloor" calcFunc-floor -1 0 )
( "\\rfloor" closing 0 -1 )
( "\\lceil" calcFunc-ceil -1 0 )
( "\\rceil" closing 0 -1 )
( "\\pm" sdev 300 300 )
( "!" calcFunc-fact 210 -1 )
( "^" ^ 201 200 )
( "_" calcFunc-subscr 201 200 )
( "u+" ident -1 197 )
( "u-" neg -1 197 )
( "\\times" * 191 190 )
( "*" * 191 190 )
( "2x" * 191 190 )
( "+" + 180 181 )
( "-" - 180 181 )
( "\\over" / 170 171 )
( "/" / 170 171 )
( "\\choose" calcFunc-choose 170 171 )
( "\\mod" % 170 171 )
( "<" calcFunc-lt 160 161 )
( ">" calcFunc-gt 160 161 )
( "\\leq" calcFunc-leq 160 161 )
( "\\geq" calcFunc-geq 160 161 )
( "=" calcFunc-eq 160 161 )
( "\\neq" calcFunc-neq 160 161 )
( "\\ne" calcFunc-neq 160 161 )
( "\\lnot" calcFunc-lnot -1 121 )
( "\\land" calcFunc-land 110 111 )
( "\\lor" calcFunc-lor 100 101 )
( "?" (math-read-if) 91 90 )
( "!!!" calcFunc-pnot -1 85 )
( "&&&" calcFunc-pand 80 81 )
( "|||" calcFunc-por 75 76 )
( "\\gets" calcFunc-assign 51 50 )
( ":=" calcFunc-assign 51 50 )
( "::" calcFunc-condition 45 46 )
( "\\to" calcFunc-evalto 40 41 )
( "\\to" calcFunc-evalto 40 -1 )
( "=>" calcFunc-evalto 40 41 )
( "=>" calcFunc-evalto 40 -1 )))
(put 'tex 'math-function-table
'( ( \\arccos . calcFunc-arccos )
( \\arcsin . calcFunc-arcsin )
( \\arctan . calcFunc-arctan )
( \\arg . calcFunc-arg )
( \\cos . calcFunc-cos )
( \\cosh . calcFunc-cosh )
( \\cot . calcFunc-cot )
( \\coth . calcFunc-coth )
( \\csc . calcFunc-csc )
( \\det . calcFunc-det )
( \\exp . calcFunc-exp )
( \\gcd . calcFunc-gcd )
( \\ln . calcFunc-ln )
( \\log . calcFunc-log10 )
( \\max . calcFunc-max )
( \\min . calcFunc-min )
( \\sec . calcFunc-sec )
( \\sin . calcFunc-sin )
( \\sinh . calcFunc-sinh )
( \\sqrt . calcFunc-sqrt )
( \\tan . calcFunc-tan )
( \\tanh . calcFunc-tanh )
( \\phi . calcFunc-totient )
( \\mu . calcFunc-moebius )))
(put 'tex 'math-special-function-table
'((calcFunc-sum . (math-compose-tex-sum "\\sum"))
(calcFunc-prod . (math-compose-tex-sum "\\prod"))
(calcFunc-sqrt . math-compose-tex-sqrt)
(intv . math-compose-tex-intv)))
(put 'tex 'math-variable-table
'(
;; The Greek letters
( \\alpha . var-alpha )
( \\beta . var-beta )
( \\gamma . var-gamma )
( \\Gamma . var-Gamma )
( \\delta . var-delta )
( \\Delta . var-Delta )
( \\epsilon . var-epsilon )
( \\varepsilon . var-varepsilon)
( \\zeta . var-zeta )
( \\eta . var-eta )
( \\theta . var-theta )
( \\vartheta . var-vartheta )
( \\Theta . var-Theta )
( \\iota . var-iota )
( \\kappa . var-kappa )
( \\lambda . var-lambda )
( \\Lambda . var-Lambda )
( \\mu . var-mu )
( \\nu . var-nu )
( \\xi . var-xi )
( \\Xi . var-Xi )
( \\pi . var-pi )
( \\varpi . var-varpi )
( \\Pi . var-Pi )
( \\rho . var-rho )
( \\varrho . var-varrho )
( \\sigma . var-sigma )
( \\sigma . var-varsigma )
( \\Sigma . var-Sigma )
( \\tau . var-tau )
( \\upsilon . var-upsilon )
( \\Upsilon . var-Upsilon )
( \\phi . var-phi )
( \\varphi . var-varphi )
( \\Phi . var-Phi )
( \\chi . var-chi )
( \\psi . var-psi )
( \\Psi . var-Psi )
( \\omega . var-omega )
( \\Omega . var-Omega )
;; Units
( pt . var-texpt )
( pc . var-texpc )
( bp . var-texbp )
( dd . var-texdd )
( cc . var-texcc )
( sp . var-texsp )
( pint . var-pt )
( parsec . var-pc)
;; Others
( \\ell . var-ell )
( \\infty . var-inf )
( \\infty . var-uinf )
( \\sum . (math-parse-tex-sum calcFunc-sum) )
( \\prod . (math-parse-tex-sum calcFunc-prod) )))
(put 'tex 'math-punc-table
'((?\{ . ?\()
(?\} . ?\))
(?\& . ?\,)))
(put 'tex 'math-complex-format 'i)
(put 'tex 'math-input-filter 'math-tex-input-filter)
(put 'tex 'math-matrix-formatter
(function
(lambda (a)
(if (and (integerp calc-language-option)
(or (= calc-language-option 0)
(> calc-language-option 1)
(< calc-language-option -1)))
(append '(vleft 0 "\\matrix{")
(math-compose-tex-matrix (cdr a))
'("}"))
(append '(horiz "\\matrix{ ")
(math-compose-tex-matrix (cdr a))
'(" }"))))))
(put 'tex 'math-var-formatter 'math-compose-tex-var)
(put 'tex 'math-func-formatter 'math-compose-tex-func)
(put 'tex 'math-dots "\\ldots")
(put 'tex 'math-big-parens '("\\left( " . " \\right)"))
(put 'tex 'math-evalto '("\\evalto " . " \\to "))
(defconst math-tex-ignore-words
'( ("\\hbox") ("\\mbox") ("\\text") ("\\left") ("\\right")
("\\,") ("\\>") ("\\:") ("\\;") ("\\!") ("\\ ")
("\\quad") ("\\qquad") ("\\hfil") ("\\hfill")
("\\displaystyle") ("\\textstyle") ("\\dsize") ("\\tsize")
("\\scriptstyle") ("\\scriptscriptstyle") ("\\ssize") ("\\sssize")
("\\rm") ("\\bf") ("\\it") ("\\sl")
("\\roman") ("\\bold") ("\\italic") ("\\slanted")
("\\cal") ("\\mit") ("\\Cal") ("\\Bbb") ("\\frak") ("\\goth")
("\\evalto")
("\\matrix" mat) ("\\bmatrix" mat) ("\\pmatrix" mat)
("\\begin" begenv)
("\\cr" punc ";") ("\\\\" punc ";") ("\\*" punc "*")
("\\{" punc "[") ("\\}" punc "]")))
(defconst math-latex-ignore-words
(append math-tex-ignore-words
'(("\\begin" begenv))))
(put 'tex 'math-lang-read-symbol
'((?\\
(< math-exp-pos (1- (length math-exp-str)))
(progn
(or (string-match "\\\\hbox *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}"
math-exp-str math-exp-pos)
(string-match "\\(\\\\\\([a-zA-Zα-ωΑ-Ω]+\\|[^a-zA-Zα-ωΑ-Ω]\\)\\)"
math-exp-str math-exp-pos))
(setq math-exp-token 'symbol
math-exp-pos (match-end 0)
math-expr-data (math-restore-dashes
(math-match-substring math-exp-str 1)))
(let ((code (assoc math-expr-data math-latex-ignore-words)))
(cond ((null code))
((null (cdr code))
(math-read-token))
((eq (nth 1 code) 'punc)
(setq math-exp-token 'punc
math-expr-data (nth 2 code)))
((and (eq (nth 1 code) 'mat)
(string-match " *{" math-exp-str math-exp-pos))
(setq math-exp-pos (match-end 0)
math-exp-token 'punc
math-expr-data "[")
(let ((right (string-match "}" math-exp-str math-exp-pos)))
(and right
(setq math-exp-str (copy-sequence math-exp-str))
(aset math-exp-str right ?\]))))))))))
(defun math-compose-tex-matrix (a &optional ltx)
(if (cdr a)
(cons (append (math-compose-vector (cdr (car a)) " & " 0)
(if ltx '(" \\\\ ") '(" \\cr ")))
(math-compose-tex-matrix (cdr a) ltx))
(list (math-compose-vector (cdr (car a)) " & " 0))))
(defun math-compose-tex-sum (a fn)
(cond
((nth 4 a)
(list 'horiz (nth 1 fn)
"_{" (math-compose-expr (nth 2 a) 0)
"=" (math-compose-expr (nth 3 a) 0)
"}^{" (math-compose-expr (nth 4 a) 0)
"}{" (math-compose-expr (nth 1 a) 0) "}"))
((nth 3 a)
(list 'horiz (nth 1 fn)
"_{" (math-compose-expr (nth 2 a) 0)
"=" (math-compose-expr (nth 3 a) 0)
"}{" (math-compose-expr (nth 1 a) 0) "}"))
(t
(list 'horiz (nth 1 fn)
"_{" (math-compose-expr (nth 2 a) 0)
"}{" (math-compose-expr (nth 1 a) 0) "}"))))
(defun math-parse-tex-sum (f val)
(let (low high save)
(or (equal math-expr-data "_") (throw 'syntax "Expected `_'"))
(math-read-token)
(setq save math-exp-old-pos)
(setq low (math-read-factor))
(or (eq (car-safe low) 'calcFunc-eq)
(progn
(setq math-exp-old-pos (1+ save))
(throw 'syntax "Expected equation")))
(or (equal math-expr-data "^") (throw 'syntax "Expected `^'"))
(math-read-token)
(setq high (math-read-factor))
(list (nth 2 f) (math-read-factor) (nth 1 low) (nth 2 low) high)))
(defun math-tex-input-filter (str) ; allow parsing of 123\,456\,789.
(while (string-match "[0-9]\\\\,[0-9]" str)
(setq str (concat (substring str 0 (1+ (match-beginning 0)))
(substring str (1- (match-end 0))))))
str)
(defun math-compose-tex-sqrt (a)
(list 'horiz
"\\sqrt{"
(math-compose-expr (nth 1 a) 0)
"}"))
(defun math-compose-tex-intv (a)
(list 'horiz
(if (memq (nth 1 a) '(0 1)) "(" "[")
(math-compose-expr (nth 2 a) 0)
" \\ldots "
(math-compose-expr (nth 3 a) 0)
(if (memq (nth 1 a) '(0 2)) ")" "]")))
(defun math-compose-tex-var (a prec)
(if (and calc-language-option
(not (= calc-language-option 0))
(string-match "\\`[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω0-9]+\\'"
(symbol-name (nth 1 a))))
(if (eq calc-language 'latex)
(format "\\text{%s}" (symbol-name (nth 1 a)))
(format "\\hbox{%s}" (symbol-name (nth 1 a))))
(math-compose-var a)))
(defun math-compose-tex-func (func a)
(let (left right)
(if (and calc-language-option
(not (= calc-language-option 0))
(string-match "\\`[a-zA-Zα-ωΑ-Ω][a-zA-Zα-ωΑ-Ω0-9]+\\'" func))
(if (< (prefix-numeric-value calc-language-option) 0)
(setq func (format "\\%s" func))
(setq func (if (eq calc-language 'latex)
(format "\\text{%s}" func)
(format "\\hbox{%s}" func)))))
(cond ((or (> (length a) 2)
(not (math-tex-expr-is-flat (nth 1 a))))
(setq left "\\left( "
right " \\right)"))
((and (eq (aref func 0) ?\\)
(not (or
(string-match "\\\\hbox{" func)
(string-match "\\\\text{" func)))
(= (length a) 2)
(or (Math-realp (nth 1 a))
(memq (car (nth 1 a)) '(var *))))
(setq left "{" right "}"))
(t (setq left calc-function-open
right calc-function-close)))
(list 'horiz func
left
(math-compose-vector (cdr a) ", " 0)
right)))
(put 'latex 'math-oper-table
(append (get 'tex 'math-oper-table)
'(( "\\Hat" calcFunc-Hat -1 950 )
( "\\Check" calcFunc-Check -1 950 )
( "\\Tilde" calcFunc-Tilde -1 950 )
( "\\Acute" calcFunc-Acute -1 950 )
( "\\Grave" calcFunc-Grave -1 950 )
( "\\Dot" calcFunc-Dot -1 950 )
( "\\Ddot" calcFunc-Dotdot -1 950 )
( "\\Breve" calcFunc-Breve -1 950 )
( "\\Bar" calcFunc-Bar -1 950 )
( "\\Vec" calcFunc-VEC -1 950 )
( "\\dddot" calcFunc-dddot -1 950 )
( "\\ddddot" calcFunc-ddddot -1 950 )
( "\\div" / 170 171 )
( "\\le" calcFunc-leq 160 161 )
( "\\leqq" calcFunc-leq 160 161 )
( "\\leqsland" calcFunc-leq 160 161 )
( "\\ge" calcFunc-geq 160 161 )
( "\\geqq" calcFunc-geq 160 161 )
( "\\geqslant" calcFunc-geq 160 161 )
( "=" calcFunc-eq 160 161 )
( "\\neq" calcFunc-neq 160 161 )
( "\\ne" calcFunc-neq 160 161 )
( "\\lnot" calcFunc-lnot -1 121 )
( "\\land" calcFunc-land 110 111 )
( "\\lor" calcFunc-lor 100 101 )
( "?" (math-read-if) 91 90 )
( "!!!" calcFunc-pnot -1 85 )
( "&&&" calcFunc-pand 80 81 )
( "|||" calcFunc-por 75 76 )
( "\\gets" calcFunc-assign 51 50 )
( ":=" calcFunc-assign 51 50 )
( "::" calcFunc-condition 45 46 )
( "\\to" calcFunc-evalto 40 41 )
( "\\to" calcFunc-evalto 40 -1 )
( "=>" calcFunc-evalto 40 41 )
( "=>" calcFunc-evalto 40 -1 ))))
(put 'latex 'math-function-table
(append
(get 'tex 'math-function-table)
'(( \\frac . (math-latex-parse-frac))
( \\tfrac . (math-latex-parse-frac))
( \\dfrac . (math-latex-parse-frac))
( \\binom . (math-latex-parse-two-args calcFunc-choose))
( \\tbinom . (math-latex-parse-two-args calcFunc-choose))
( \\dbinom . (math-latex-parse-two-args calcFunc-choose))
( \\phi . calcFunc-totient )
( \\mu . calcFunc-moebius ))))
(put 'latex 'math-special-function-table
'((/ . (math-compose-latex-frac "\\frac"))
(calcFunc-choose . (math-compose-latex-frac "\\binom"))
(calcFunc-sum . (math-compose-tex-sum "\\sum"))
(calcFunc-prod . (math-compose-tex-sum "\\prod"))
(calcFunc-sqrt . math-compose-tex-sqrt)
(intv . math-compose-tex-intv)))
(put 'latex 'math-variable-table
(get 'tex 'math-variable-table))
(put 'latex 'math-punc-table
'((?\{ . ?\()
(?\} . ?\))
(?\& . ?\,)))
(put 'latex 'math-complex-format 'i)
(put 'latex 'math-matrix-formatter
(function
(lambda (a)
(if (and (integerp calc-language-option)
(or (= calc-language-option 0)
(> calc-language-option 1)
(< calc-language-option -1)))
(append '(vleft 0 "\\begin{pmatrix}")
(math-compose-tex-matrix (cdr a) t)
'("\\end{pmatrix}"))
(append '(horiz "\\begin{pmatrix} ")
(math-compose-tex-matrix (cdr a) t)
'(" \\end{pmatrix}"))))))
(put 'latex 'math-var-formatter 'math-compose-tex-var)
(put 'latex 'math-func-formatter 'math-compose-tex-func)
(put 'latex 'math-dots "\\ldots")
(put 'latex 'math-big-parens '("\\left( " . " \\right)"))
(put 'latex 'math-evalto '("\\evalto " . " \\to "))
(put 'latex 'math-lang-read-symbol
'((?\\
(< math-exp-pos (1- (length math-exp-str)))
(progn
(or (string-match "\\\\hbox *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}"
math-exp-str math-exp-pos)
(string-match "\\\\text *{\\([a-zA-Zα-ωΑ-Ω0-9]+\\)}"
math-exp-str math-exp-pos)
(string-match "\\(\\\\\\([a-zA-Zα-ωΑ-Ω]+\\|[^a-zA-Zα-ωΑ-Ω]\\)\\)"
math-exp-str math-exp-pos))
(setq math-exp-token 'symbol
math-exp-pos (match-end 0)
math-expr-data (math-restore-dashes
(math-match-substring math-exp-str 1)))
(let ((code (assoc math-expr-data math-tex-ignore-words))
envname)
(cond ((null code))
((null (cdr code))
(math-read-token))
((eq (nth 1 code) 'punc)
(setq math-exp-token 'punc
math-expr-data (nth 2 code)))
((and (eq (nth 1 code) 'begenv)
(string-match " *{\\([^}]*\\)}" math-exp-str math-exp-pos))
(setq math-exp-pos (match-end 0)
envname (match-string 1 math-exp-str)
math-exp-token 'punc
math-expr-data "[")
(cond ((or (string= envname "matrix")
(string= envname "bmatrix")
(string= envname "smallmatrix")
(string= envname "pmatrix"))
(if (string-match (concat "\\\\end{" envname "}")
math-exp-str math-exp-pos)
(setq math-exp-str
(replace-match "]" t t math-exp-str))
(error "%s" (concat "No closing \\end{" envname "}"))))))
((and (eq (nth 1 code) 'mat)
(string-match " *{" math-exp-str math-exp-pos))
(setq math-exp-pos (match-end 0)
math-exp-token 'punc
math-expr-data "[")
(let ((right (string-match "}" math-exp-str math-exp-pos)))
(and right
(setq math-exp-str (copy-sequence math-exp-str))
(aset math-exp-str right ?\]))))))))))
(defun math-latex-parse-frac (f val)
(let (numer denom)
(setq numer (car (math-read-expr-list)))
(math-read-token)
(setq denom (math-read-factor))
(if (and (Math-num-integerp numer)
(Math-num-integerp denom))
(list 'frac numer denom)
(list '/ numer denom))))
(defun math-latex-parse-two-args (f val)
(let (first second)
(setq first (car (math-read-expr-list)))
(math-read-token)
(setq second (math-read-factor))
(list (nth 2 f) first second)))
(defun math-compose-latex-frac (a fn)
(list 'horiz (nth 1 fn) "{" (math-compose-expr (nth 1 a) -1)
"}{"
(math-compose-expr (nth 2 a) -1)
"}"))
(put 'latex 'math-input-filter 'math-tex-input-filter)
(defun calc-eqn-language (n)
(interactive "P")
(calc-wrapper
(calc-set-language 'eqn)
(message "Eqn language mode")))
(put 'eqn 'math-oper-table
'( ( "prime" (math-parse-eqn-prime) 950 -1 )
( "prime" calcFunc-Prime 950 -1 )
( "dot" calcFunc-dot 950 -1 )
( "dotdot" calcFunc-dotdot 950 -1 )
( "hat" calcFunc-hat 950 -1 )
( "tilde" calcFunc-tilde 950 -1 )
( "vec" calcFunc-Vec 950 -1 )
( "dyad" calcFunc-dyad 950 -1 )
( "bar" calcFunc-bar 950 -1 )
( "under" calcFunc-under 950 -1 )
( "sub" calcFunc-subscr 931 930 )
( "sup" ^ 921 920 )
( "sqrt" calcFunc-sqrt -1 910 )
( "over" / 900 901 )
( "u|" calcFunc-abs -1 0 )
( "|" closing 0 -1 )
( "left floor" calcFunc-floor -1 0 )
( "right floor" closing 0 -1 )
( "left ceil" calcFunc-ceil -1 0 )
( "right ceil" closing 0 -1 )
( "+-" sdev 300 300 )
( "!" calcFunc-fact 210 -1 )
( "u+" ident -1 197 )
( "u-" neg -1 197 )
( "times" * 191 190 )
( "*" * 191 190 )
( "2x" * 191 190 )
( "/" / 180 181 )
( "%" % 180 181 )
( "+" + 170 171 )
( "-" - 170 171 )
( "<" calcFunc-lt 160 161 )
( ">" calcFunc-gt 160 161 )
( "<=" calcFunc-leq 160 161 )
( ">=" calcFunc-geq 160 161 )
( "=" calcFunc-eq 160 161 )
( "==" calcFunc-eq 160 161 )
( "!=" calcFunc-neq 160 161 )
( "u!" calcFunc-lnot -1 121 )
( "&&" calcFunc-land 110 111 )
( "||" calcFunc-lor 100 101 )
( "?" (math-read-if) 91 90 )
( "!!!" calcFunc-pnot -1 85 )
( "&&&" calcFunc-pand 80 81 )
( "|||" calcFunc-por 75 76 )
( "<-" calcFunc-assign 51 50 )
( ":=" calcFunc-assign 51 50 )
( "::" calcFunc-condition 45 46 )
( "->" calcFunc-evalto 40 41 )
( "->" calcFunc-evalto 40 -1 )
( "=>" calcFunc-evalto 40 41 )
( "=>" calcFunc-evalto 40 -1 )))
(put 'eqn 'math-function-table
'( ( arc\ cos . calcFunc-arccos )
( arc\ cosh . calcFunc-arccosh )
( arc\ sin . calcFunc-arcsin )
( arc\ sinh . calcFunc-arcsinh )
( arc\ tan . calcFunc-arctan )
( arc\ tanh . calcFunc-arctanh )