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############################################################################
#
# File: patxform.icn
#
# Subject: Procedures to transform patterns in row form
#
# Author: Ralph E. Griswold
#
# Date: June 26, 2002
#
############################################################################
#
# This file is in the public domain.
#
############################################################################
#
# pborder(rows, l, r, t, b, c)
# pcaten(rows1, rows2, dir)
# pcenter(rows, w, h)
# pcrop(rows, l, r, t, b)
# pdisplay(rows)
# pdouble(rows, dir)
# pflip(rows, dir)
# phalve(rows, dir, choice)
# pinvert(rows)
# pminim(rows)
# por(rows1, rows2)
# protate(rows, dir)
# pscramble(rows, dir)
# pshift(rows, shift, dir)
# ptrim(rows, c)
#
############################################################################
#
# Requires: Version 9 graphics
#
############################################################################
#
# Links: patutils, random, strings
#
############################################################################
link patutils
link random
link strings
#
# Place a border around a pattern. l, r, t, and b specify the number of bits
# to add at the left, right, top, and bottom, respectively. c specifies
# the color of the border, "0" for white, "1" for black.
procedure pborder(rows, l, r, t, b, c) #: place border around pattern
local i, row, left, right
/l := 1
/r := 1
/t := 1
/b := 1
/c := "0"
if l = r = t = b = 0 then return rows
row := repl(c, *rows[1] + l + r)
left := repl(c, l)
right := repl(c, r)
every i := 1 to *rows do
rows[i] := left || rows[i] || right
every 1 to t do
push(rows, row)
every 1 to b do
put(rows, row)
return rows
end
#
# Concatenate patterns
procedure pcaten(rows1, rows2, dir) #: concatenate patterns
local rows, i
# if art is nonnull, delete duplicate line at boundary
if (*rows1 ~= *rows2) | (*rows1[1] ~= *rows2[1]) then
stop("nonconformal patterns in pcaten()")
/dir := "h"
case dir of {
"h" : {
rows := []
every i := 1 to *rows1 do
put(rows, rows1[i] || rows2[i])
}
"v" : {
rows := copy(rows1)
every put(rows, !rows2)
}
default: stop("invalid direction specification in pcaten()")
}
return rows
end
#
# Concatenate patterns pattern style
procedure pcatenp(rows1, rows2, dir)
local rows, i
if (*rows1 ~= *rows2) | (*rows1[1] ~= *rows2[1]) then
stop("nonconformal patterns in pcaten()")
/dir := "h"
rows2 := copy(rows2) # may delete row or column
case dir of {
"h" : {
repeat {
every i := 1 to *rows1 do
if rows1[i][-1] ~== rows2[i][1] then break break
every i := 1 to *rows2 do
rows2[i][1] := ""
break
}
rows := []
every i := 1 to *rows1 do
put(rows, rows1[i] || rows2[i])
}
"v" : {
if rows1[-1] == rows2[1] then # eliminate duplicate
get(rows2)
rows := copy(rows1)
every put(rows, !rows2)
}
default: stop("invalid direction specification in pcaten()")
}
return rows
end
#
# Centers non-white portion of pattern
procedure pcenter(rows, w, h) #: center pattern
local rw, rh, vert, horz, t, l
rows := ptrim(rows)
rw := *rows[1]
rh := *rows
if (rh = h) & (rw = w) then return rows
if (rh > h) | (rw > w) then fail
horz := w - rw
vert := h - rh
l := horz / 2
t := vert / 2
return pborder(rows, l, horz - l, t, vert - t)
end
#
# Crop a pattern. l, r, t, and b specify the number of bits
# to crop at the left, right, top, and bottom, respectively.
procedure pcrop(rows, l, r, t, b) #: crop pattern
local i
/l := 0
/r := 0
/t := 0
/b := 0
if l = r = t = b = 0 then return rows
if ((*rows[1] - l - r) | (*rows - t - b)) < 2 then fail
every 1 to t do
get(rows)
every 1 to b do
pull(rows)
every i := 1 to *rows do
rows[i] := rows[i][l + 1 : -r]
return rows
end
#
# Display pattern
procedure pdisplay(rows, pat) #: display pattern
/pat := "01" # mapping string
every write(map(!rows, "01", pat))
return
end
#
# Creates a tile in which each pixel doubled. dir determines the
# direction in which the doubling is done. If dir is "b" or null, it's
# done both horizontally and vertically. If dir is "v", it's only done
# vertically, while if dir is "h", it's done only horizontally.
procedure pdouble(rows, dir) #: double pattern
local row, newrows
newrows := []
case dir of {
"v": {
every row := !rows do
put(newrows, row, row)
}
"h": {
every row := !rows do
put(newrows, collate(row, row))
}
"b" | &null: return pdouble(pdouble(rows, "v"), "h")
}
return newrows
end
#
# Flip pattern. The possible values of dir are "h" (horizontal flip),
# "v" (vertical flip), "l" (left diagonal), and "r" (right diagonal).
# (The left diagonal extends from the upper left corner to the bottom
# right corner; the right diagonal from the upper right to the lower
# left.
procedure pflip(rows, dir) #: flip pattern
local newrows, x, y, i
case dir of {
"l": {
newrows := list(*rows[1], repl("0", *rows))
every y := 1 to *rows do
every x := 1 to *rows[1] do
if rows[y, x] == "1" then
newrows[-x, -y] := "1"
}
"r": {
newrows := list(*rows[1], repl("0", *rows))
every y := 1 to *rows do
every x := 1 to *rows[1] do
if rows[y, x] == "1" then
newrows[x, y] := "1"
}
"h": {
newrows := copy(rows)
every i := 1 to *rows do
newrows[i] := reverse(newrows[i])
}
"v": {
newrows := copy(rows)
every i := 1 to *rows / 2 do
newrows[i] :=: newrows[-i]
}
default: stop("*** illegal flip specification in pflip()")
}
return newrows
end
# Creates a tile in every other pixel is discarded. dir determines the
# direction is which the halving is done. If dir is "b" or null, it's
# done both vertically and horizontally. If dir is "v", it's only done
# vertically, while if dir is "v", it's done only vertically.
# If choice is "o" or null, odd-numbered rows or columns are kept;
# if "e", the even-numbered ones.
procedure phalve(rows, dir, choice) #: halve pattern by bits
local newrows, i
choice := if choice === ("o" | &null) then 1 else 0
newrows := []
case dir of {
"v": {
every i := choice to *rows by 2 do
put(newrows, rows[i])
}
"h": every put(newrows, decollate(!rows, choice))
"b" | &null: return phalve(phalve(rows, "v", choice), "h", choice)
}
return newrows
end
#
# Invert white and black bits in pattern specification
procedure pinvert(rows) #: invert B&W pattern
local i
rows := copy(rows)
every i := 1 to *rows do
rows[i] := map(rows[i], "10", "01")
return rows
end
#
# Reduce pattern to its smallest equivalent form (with at least 4 columns).
# Limited to square patterns for portability -- other possibilities exist
# for operating on and/or producing patterns that are not square.
procedure pminim(rows) #: minimize pattern
local halfw, halfh, i
# if (*rows ~= *rows[1]) | (*rows % 2 ~= 0) then return rows
repeat {
if *rows[1] < 4 then break
halfw := *rows[1] / 2
halfh := *rows / 2
every i := 1 to halfh do # check rows in top and bottom
if (rows[i] ~== rows[i + halfh]) |
(rows[i][1+:halfw] ~== rows[i][0-:halfw]) then break break
every 1 to halfh do # reducible; remove rows
pop(rows)
every i := 1 to halfh do # truncate rows
rows[i] := rows[i][1+:halfw]
}
return rows
end
# For the logical "or" of two row bit patterns
procedure por(rows1, rows2) #: "or" patterns
local rows, i
if *rows1 ~= *rows2 then fail # nonconformal
if *rows1[1] ~= *rows2[1] then fail # nonconformal
rows := copy(rows1)
every i := 1 to *rows do {
rows2[i] ? { # overlay 1s of row2 on row1
while tab(upto('1')) do {
rows[i][&pos] := "1"
move(1) | break
}
}
}
return rows
end
# Create rotated copy of a pattern. If dir is "cw" or "90", rotation is 90
# degrees clockwise; if "ccw" or "-90", 90 degrees counter-clockwise.
# If dir is "180", rotation is 180 degrees. The default is "cw".
procedure protate(rows, dir) #: rotate pattern
local newrows, i, row, pix
/dir := "cw"
case string(dir) of {
"ccw" | "-90": { # counter-clockwise
newrows := list(*rows[1], "")
every row := !rows do {
i := 0
every pix := !row do
newrows[i -:= 1] ||:= pix
}
}
"cw" | "90" | &null: { # clockwise
newrows := list(*rows[1], "")
every row := !rows do {
i := 0
every pix := !row do
newrows[i +:= 1] := pix || newrows[i]
}
}
"180": {
newrows := []
every push(newrows, reverse(!rows))
}
default: stop("*** illegal rotation specification in protate()")
}
return newrows
end
#
# Scrambles a pattern by shuffling it. If dir is "h", the columns of each row
# are scrambled; if "v", the the rows are scrambled. If "b", bits are
# scrambled throughout the pattern.
procedure pscramble(rows, dir) #: scramble pattern
local i, all
case dir of {
"h": {
every i := 1 to *rows do
rows[i] := shuffle(rows[i])
}
"v": rows := shuffle(rows)
"b" | &null: {
all := ""
every all ||:= !rows
all := shuffle(all)
every i := 1 to *rows do {
rows[i] := left(all, *rows[1])
all[1 +: *rows[1]] := ""
}
}
default: stop("*** illegal specification in scramble()")
}
return rows
end
#
# Create bit-shifted copy of a pattern. If dir is "h", then the
# shift is horizontal; if "v", vertical. The default is horizontal.
# Positive shift is to the right for horizontal shifts, downward for vertical
# shifts. The default shift is 0 and the default direction is horizontal.
procedure pshift(rows, shift, dir) #: bit shift pattern
local i
/shift := 0
case dir of {
"h" | &null: { # horizontal shift
every i := 1 to *rows do
rows[i] := rotate(rows[i], -shift)
}
"v": { # vertical shift
if shift > 0 then
every 1 to shift do
push(rows, pull(rows))
else if shift < 0 then
every 1 to -shift do
put(rows, pop(rows))
}
default: stop("*** illegal specification in pshift()")
}
return rows
end
#
# Trim border from pattern; c gives color; default "1"
procedure ptrim(rows, c) #: trim pattern
/c := '1'
c := cset(c)
while (*rows > 2) & not(upto(c, rows[1])) do
get(rows)
while (*rows > 2) & not(upto(c, rows[-1])) do
pull(rows)
rows := protate(rows, "cw")
while (*rows > 2) & not(upto(c, rows[1])) do
get(rows)
while (*rows > 2) & not(upto(c, rows[-1])) do
pull(rows)
return protate(rows, "ccw")
end
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