############################################################################
#
#	File:     tieutils.icn
#
#	Subject:  Procedures related to weaving tie-ups
#
#	Author:   Ralph E. Griswold
#
#	Date:     September 15, 2001
#
############################################################################
#
#  This file is in the public domain.
#
############################################################################
#
#	imr2tie(imr)	converts g2 image record to tie-ip
#
#	pat2tie(pat)	converts bi-level pattern to tie-up string
#
#	pat2tier(pat)	converts bi-level pattern to tie-up record
#
#	showpat(pat, size, fg, bg)
#			produces a hidden window for the pattern as a matrix
#			with the specified foreground and background colors
#
#	str2matrix(shafts, treadles, s)
#			produce matrix from binary string
#
#	testtie(s)	succeeds if s is a valid tie-up but fails otherwise
#
#	tie2imr(s)	converts tie-up to g2 image record
#
#	tie2pat(i, j, tie)
#			converts tie-up to bi-level pattern
#
#	tie2coltier(s)	creates a black/white color tieup-record for
#			  tie-up s
#
#	tie2tier(s)	creates a 0/1 tie-up record for tie-up s
#
#	tier2rstring(r)	creates a tie-up string from a tie-up record
#
#	twill(pattern, shift, shafts)
#			twill tie-up
#
#	overunder(pattern, treadles)
#			over/under tie-up structure
#
#	direct(shafts, treadles)
#			direct tie-up
#
#	satin(counter, shafts, treadles)
#			satin tie-up
#
#	tabby(shafts, treadles)
#			tabby tie-up
#
#	general(pattern, shift, rep, shafts)
#			general tie-up
#
#	exptie(expression, shafts, treadles)
#			expression tie-up
#
############################################################################
#
#  Requires:  Version 9 graphics
#
############################################################################
#
#  Links:  cells, numbers,  wopen, patutils, imrutils, patxform
#
############################################################################

link cells
link numbers
link wopen
link patutils
link patxform
link imrutils

record tie(shafts, treadles, matrix)

procedure imr2tie(imr)			#: convert image record to tie-up

   return imr.width || ";" || *imr.pixels / imr.width || ";" || imr.pixels

end

procedure pat2tie(pat)			#: convert pattern to tie-up string
   local matrix, tieup, shafts, treadles

   pat ? {		# OLD-STYLE BIT STRING TIE-UP
      if shafts := tab(upto(',')) &
      move(1) &
      treadles := tab(upto(',')) &
      move(1) then {
         matrix := list(shafts)
         while put(matrix, move(treadles))
         }
      else matrix := pat2rows(pat)
      }

   tieup := tie(*matrix[1], *matrix, matrix)

   return tier2string(tieup)

end

procedure pat2tier(pat)			#: convert pattern to tie-up record
   local matrix

   matrix := pat2rows(pat)

   return tie(*matrix[1], *matrix, matrix)

end

#  Set up empty palette grid

procedure showpat(pat, cellsize, fg, bg)	#: image of bi-level pattern
   local x, y, panel, row, rows, color, tieup

   /cellsize := 10

   rows := pat2rows(pat)

   panel := makepanel(*rows[1], *rows, cellsize, fg, bg)

   y := 1

   every row := !rows do {
      every x := 1 to *row do {
         color := if row[x] == "1" then "black" else "white"
         colorcell(panel, x, y, color)
         }
      y +:= 1
      }

   return panel
 
end

procedure str2matrix(shafts, treadles, tieup)
   local matrix

   matrix := []

   tieup ? {
      every 1 to treadles do 
         put(matrix, move(shafts))
      }

   return matrix

end

procedure testtie(s)			#: test validity of tie-up s
   local n, m, bits

   s ? {
      n := (0 < integer(tab(upto(';')))) &
      move(1) &
      m := (0 < integer(tab(upto(';')))) &
      move(1) &
      bits := tab(0)
      } | fail					# bad header

   if *(cset(bits) -- '01') > 0 then fail	# illegal characters

   if *bits ~= (n * m) then fail		# wrong length

   return s

end

procedure tie2imr(tie)			#: convert tie-up to image record
   local width

   tie ? {
      width := tab(upto(';'))
      move(1)
      tab(upto(';') + 1)
      return imstoimr(width || ",g2," || tab(0))
      }

end

procedure tie2pat(shafts, treadles, tie)	#: convert tie-up record to ims
   local tieup, matrix

   tieup := tie2tier(shafts, treadles, tie)
   matrix := tieup.matrix
   return rows2pat(matrix)

end 

procedure tie2tier(shafts, treadles, tieup)	#: create 0/1 tie-up record
   local matrix

   matrix := []

   tieup ? {
      every 1 to treadles do 
         put(matrix, move(shafts))
      }

   return tie(shafts, treadles, matrix)

end

procedure tie2coltier(tieup)		#: create color tie-up record
   local result, shafts, treadles, rec

   result := []

   if not upto(';', tieup) then		# old-style tie-up
      tieup := "8;8;" || tieup

   tieup ? {
      (
         shafts := tab(upto(';')) &
         move(1) &
         treadles := tab(upto(';')) &
         move(1)
         ) | stop("*** invalid tieup")
      every 1 to shafts do 
         put(result, tcolors(move(treadles)))
      }

   return tie(shafts, treadles, result)

end

procedure tcolors(s)
   local i, result

   result := []

   every i := 1 to *s do
      put(result, if s[i] == "0" then "black" else "white")

   return result

end

procedure tier2string(rec)	#: convert tie-up record to string
   local result

   result := ""

   every result ||:= !rec.matrix

   return result

end

procedure twill(pattern, shift, shafts, treadles)	#: twill tie-up
   local row, rows

   /treadles := shafts

   row := overunder(pattern, treadles) | fail

   rows := []

   put(rows, row)

   every 1 to shafts - 1 do
      put(rows, row := rotate(row, shift))

   return rows

end

procedure overunder(pattern, treadles)
   local row, count, i

   row := ""

   count := 1			# odd/even over/under toggle

   pattern ? {
      while ="/" do {		#  INITIAL / NEEDS TO BE REMOVED
         i := tab(many(&digits)) | fail
         row ||:= repl(count, i)
         count +:= 1
         count %:= 2
         }
      if not pos(0) then fail
      }
      
   return extend(row, treadles)

end

#  direct() supports a "generalized" tie-up when the number of shafts
#  is not the same as the number of treadles.

procedure direct(shafts, treadles)	#: direct tie-up
   local row, i, rows, swap

   /treadles := shafts			# normal direct tie-up

   if shafts ~= treadles then {
      shafts :=: treadles
      swap := 1
      }

   rows := []

   row := "1" || repl("0", treadles - 1)

   put(rows, row)

   every i := 1 to shafts - 1 do
      put(rows, row := rotate(row, -1))

   if /swap then return rows
   else return pflip(protate(rows, -90), "v")

end

procedure satin(counter, shafts, treadles)	#: satin tie-up
   local row, rows, m, k

   rows := list(shafts, repl("0", treadles))

   m := 1
   rows[1, 1]  := "1"

   every k := 2 to shafts do
      rows[k, residue(m +:= counter, shafts, 1)] := "1"

   return rows

end

procedure tabby(shafts, treadles)	#: tabby tie-up
   local rows, row, i

   rows := []

   row := repl("01", (treadles + 1) / 2)

   push(rows, row)

   every i := 1 to shafts - 1 do
      push(rows, row := rotate(row, 1))

   return rows

   return

end

procedure general(pattern, shift, rep, shafts)	#: general tie-up
   local row, rows, i

   row := overunder(pattern, shafts) | fail

   rows := []

   every 1 to rep do
      put(rows, row)

   every i := (1 to shafts - 1) \ (shafts / rep) do {
      row := rotate(row, shift)
      every 1 to rep do
         put(rows, row)
      }

   rows := rows[1+:shafts]		# trim

   return rows

end

procedure exptie(expression, shafts, treadles)	#: expression tie-up
   local output, size, row, rows, values, input

   size := shafts * treadles

   output := open("/tmp/expr.icn", "w") | {
      stop("*** cannot open file for tie-up expression")
      fail
      }

   write(output, "$include \"/tmp/include.wvp\"")
   write(output, "link seqfncs")
   write(output, "procedure main()")
   write(output, "   every write(", expression, " %  2) \\ ", size)
   write(output, "end")

   close(output)

#  remove("/tmp/seqdraft.err")

   if system("icont -s /tmp/expr >/dev/null 2>/tmp/seqdraft.err") ~= 0 then
      fail

   input := open("expr", "p")

   values := ""
   every values ||:= !input

   close(input)

   remove("expr")

   rows := []

   if *values < (shafts * treadles) then {
      stop("*** short tie-up sequence")
      fail
      }

   values ? {
      while put(rows, move(shafts))
      }

   return rows

end