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+# A binary morphology add-on for the Python Imaging Library
+#
+# History:
+#   2014-06-04 Initial version.
+#
+# Copyright (c) 2014 Dov Grobgeld <dov.grobgeld@gmail.com>
+from __future__ import annotations
+
+import re
+
+from . import Image, _imagingmorph
+
+LUT_SIZE = 1 << 9
+
+# fmt: off
+ROTATION_MATRIX = [
+    6, 3, 0,
+    7, 4, 1,
+    8, 5, 2,
+]
+MIRROR_MATRIX = [
+    2, 1, 0,
+    5, 4, 3,
+    8, 7, 6,
+]
+# fmt: on
+
+
+class LutBuilder:
+    """A class for building a MorphLut from a descriptive language
+
+    The input patterns is a list of a strings sequences like these::
+
+        4:(...
+           .1.
+           111)->1
+
+    (whitespaces including linebreaks are ignored). The option 4
+    describes a series of symmetry operations (in this case a
+    4-rotation), the pattern is described by:
+
+    - . or X - Ignore
+    - 1 - Pixel is on
+    - 0 - Pixel is off
+
+    The result of the operation is described after "->" string.
+
+    The default is to return the current pixel value, which is
+    returned if no other match is found.
+
+    Operations:
+
+    - 4 - 4 way rotation
+    - N - Negate
+    - 1 - Dummy op for no other operation (an op must always be given)
+    - M - Mirroring
+
+    Example::
+
+        lb = LutBuilder(patterns = ["4:(... .1. 111)->1"])
+        lut = lb.build_lut()
+
+    """
+
+    def __init__(
+        self, patterns: list[str] | None = None, op_name: str | None = None
+    ) -> None:
+        if patterns is not None:
+            self.patterns = patterns
+        else:
+            self.patterns = []
+        self.lut: bytearray | None = None
+        if op_name is not None:
+            known_patterns = {
+                "corner": ["1:(... ... ...)->0", "4:(00. 01. ...)->1"],
+                "dilation4": ["4:(... .0. .1.)->1"],
+                "dilation8": ["4:(... .0. .1.)->1", "4:(... .0. ..1)->1"],
+                "erosion4": ["4:(... .1. .0.)->0"],
+                "erosion8": ["4:(... .1. .0.)->0", "4:(... .1. ..0)->0"],
+                "edge": [
+                    "1:(... ... ...)->0",
+                    "4:(.0. .1. ...)->1",
+                    "4:(01. .1. ...)->1",
+                ],
+            }
+            if op_name not in known_patterns:
+                msg = f"Unknown pattern {op_name}!"
+                raise Exception(msg)
+
+            self.patterns = known_patterns[op_name]
+
+    def add_patterns(self, patterns: list[str]) -> None:
+        self.patterns += patterns
+
+    def build_default_lut(self) -> None:
+        symbols = [0, 1]
+        m = 1 << 4  # pos of current pixel
+        self.lut = bytearray(symbols[(i & m) > 0] for i in range(LUT_SIZE))
+
+    def get_lut(self) -> bytearray | None:
+        return self.lut
+
+    def _string_permute(self, pattern: str, permutation: list[int]) -> str:
+        """string_permute takes a pattern and a permutation and returns the
+        string permuted according to the permutation list.
+        """
+        assert len(permutation) == 9
+        return "".join(pattern[p] for p in permutation)
+
+    def _pattern_permute(
+        self, basic_pattern: str, options: str, basic_result: int
+    ) -> list[tuple[str, int]]:
+        """pattern_permute takes a basic pattern and its result and clones
+        the pattern according to the modifications described in the $options
+        parameter. It returns a list of all cloned patterns."""
+        patterns = [(basic_pattern, basic_result)]
+
+        # rotations
+        if "4" in options:
+            res = patterns[-1][1]
+            for i in range(4):
+                patterns.append(
+                    (self._string_permute(patterns[-1][0], ROTATION_MATRIX), res)
+                )
+        # mirror
+        if "M" in options:
+            n = len(patterns)
+            for pattern, res in patterns[:n]:
+                patterns.append((self._string_permute(pattern, MIRROR_MATRIX), res))
+
+        # negate
+        if "N" in options:
+            n = len(patterns)
+            for pattern, res in patterns[:n]:
+                # Swap 0 and 1
+                pattern = pattern.replace("0", "Z").replace("1", "0").replace("Z", "1")
+                res = 1 - int(res)
+                patterns.append((pattern, res))
+
+        return patterns
+
+    def build_lut(self) -> bytearray:
+        """Compile all patterns into a morphology lut.
+
+        TBD :Build based on (file) morphlut:modify_lut
+        """
+        self.build_default_lut()
+        assert self.lut is not None
+        patterns = []
+
+        # Parse and create symmetries of the patterns strings
+        for p in self.patterns:
+            m = re.search(r"(\w*):?\s*\((.+?)\)\s*->\s*(\d)", p.replace("\n", ""))
+            if not m:
+                msg = 'Syntax error in pattern "' + p + '"'
+                raise Exception(msg)
+            options = m.group(1)
+            pattern = m.group(2)
+            result = int(m.group(3))
+
+            # Get rid of spaces
+            pattern = pattern.replace(" ", "").replace("\n", "")
+
+            patterns += self._pattern_permute(pattern, options, result)
+
+        # compile the patterns into regular expressions for speed
+        compiled_patterns = []
+        for pattern in patterns:
+            p = pattern[0].replace(".", "X").replace("X", "[01]")
+            compiled_patterns.append((re.compile(p), pattern[1]))
+
+        # Step through table and find patterns that match.
+        # Note that all the patterns are searched. The last one
+        # caught overrides
+        for i in range(LUT_SIZE):
+            # Build the bit pattern
+            bitpattern = bin(i)[2:]
+            bitpattern = ("0" * (9 - len(bitpattern)) + bitpattern)[::-1]
+
+            for pattern, r in compiled_patterns:
+                if pattern.match(bitpattern):
+                    self.lut[i] = [0, 1][r]
+
+        return self.lut
+
+
+class MorphOp:
+    """A class for binary morphological operators"""
+
+    def __init__(
+        self,
+        lut: bytearray | None = None,
+        op_name: str | None = None,
+        patterns: list[str] | None = None,
+    ) -> None:
+        """Create a binary morphological operator"""
+        self.lut = lut
+        if op_name is not None:
+            self.lut = LutBuilder(op_name=op_name).build_lut()
+        elif patterns is not None:
+            self.lut = LutBuilder(patterns=patterns).build_lut()
+
+    def apply(self, image: Image.Image) -> tuple[int, Image.Image]:
+        """Run a single morphological operation on an image
+
+        Returns a tuple of the number of changed pixels and the
+        morphed image"""
+        if self.lut is None:
+            msg = "No operator loaded"
+            raise Exception(msg)
+
+        if image.mode != "L":
+            msg = "Image mode must be L"
+            raise ValueError(msg)
+        outimage = Image.new(image.mode, image.size, None)
+        count = _imagingmorph.apply(bytes(self.lut), image.getim(), outimage.getim())
+        return count, outimage
+
+    def match(self, image: Image.Image) -> list[tuple[int, int]]:
+        """Get a list of coordinates matching the morphological operation on
+        an image.
+
+        Returns a list of tuples of (x,y) coordinates
+        of all matching pixels. See :ref:`coordinate-system`."""
+        if self.lut is None:
+            msg = "No operator loaded"
+            raise Exception(msg)
+
+        if image.mode != "L":
+            msg = "Image mode must be L"
+            raise ValueError(msg)
+        return _imagingmorph.match(bytes(self.lut), image.getim())
+
+    def get_on_pixels(self, image: Image.Image) -> list[tuple[int, int]]:
+        """Get a list of all turned on pixels in a binary image
+
+        Returns a list of tuples of (x,y) coordinates
+        of all matching pixels. See :ref:`coordinate-system`."""
+
+        if image.mode != "L":
+            msg = "Image mode must be L"
+            raise ValueError(msg)
+        return _imagingmorph.get_on_pixels(image.getim())
+
+    def load_lut(self, filename: str) -> None:
+        """Load an operator from an mrl file"""
+        with open(filename, "rb") as f:
+            self.lut = bytearray(f.read())
+
+        if len(self.lut) != LUT_SIZE:
+            self.lut = None
+            msg = "Wrong size operator file!"
+            raise Exception(msg)
+
+    def save_lut(self, filename: str) -> None:
+        """Save an operator to an mrl file"""
+        if self.lut is None:
+            msg = "No operator loaded"
+            raise Exception(msg)
+        with open(filename, "wb") as f:
+            f.write(self.lut)
+
+    def set_lut(self, lut: bytearray | None) -> None:
+        """Set the lut from an external source"""
+        self.lut = lut