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+#
+# The Python Imaging Library
+# $Id$
+#
+# a simple math add-on for the Python Imaging Library
+#
+# History:
+# 1999-02-15 fl Original PIL Plus release
+# 2005-05-05 fl Simplified and cleaned up for PIL 1.1.6
+# 2005-09-12 fl Fixed int() and float() for Python 2.4.1
+#
+# Copyright (c) 1999-2005 by Secret Labs AB
+# Copyright (c) 2005 by Fredrik Lundh
+#
+# See the README file for information on usage and redistribution.
+#
+from __future__ import annotations
+
+import builtins
+from types import CodeType
+from typing import Any, Callable
+
+from . import Image, _imagingmath
+from ._deprecate import deprecate
+
+
+class _Operand:
+ """Wraps an image operand, providing standard operators"""
+
+ def __init__(self, im: Image.Image):
+ self.im = im
+
+ def __fixup(self, im1: _Operand | float) -> Image.Image:
+ # convert image to suitable mode
+ if isinstance(im1, _Operand):
+ # argument was an image.
+ if im1.im.mode in ("1", "L"):
+ return im1.im.convert("I")
+ elif im1.im.mode in ("I", "F"):
+ return im1.im
+ else:
+ msg = f"unsupported mode: {im1.im.mode}"
+ raise ValueError(msg)
+ else:
+ # argument was a constant
+ if isinstance(im1, (int, float)) and self.im.mode in ("1", "L", "I"):
+ return Image.new("I", self.im.size, im1)
+ else:
+ return Image.new("F", self.im.size, im1)
+
+ def apply(
+ self,
+ op: str,
+ im1: _Operand | float,
+ im2: _Operand | float | None = None,
+ mode: str | None = None,
+ ) -> _Operand:
+ im_1 = self.__fixup(im1)
+ if im2 is None:
+ # unary operation
+ out = Image.new(mode or im_1.mode, im_1.size, None)
+ try:
+ op = getattr(_imagingmath, f"{op}_{im_1.mode}")
+ except AttributeError as e:
+ msg = f"bad operand type for '{op}'"
+ raise TypeError(msg) from e
+ _imagingmath.unop(op, out.getim(), im_1.getim())
+ else:
+ # binary operation
+ im_2 = self.__fixup(im2)
+ if im_1.mode != im_2.mode:
+ # convert both arguments to floating point
+ if im_1.mode != "F":
+ im_1 = im_1.convert("F")
+ if im_2.mode != "F":
+ im_2 = im_2.convert("F")
+ if im_1.size != im_2.size:
+ # crop both arguments to a common size
+ size = (
+ min(im_1.size[0], im_2.size[0]),
+ min(im_1.size[1], im_2.size[1]),
+ )
+ if im_1.size != size:
+ im_1 = im_1.crop((0, 0) + size)
+ if im_2.size != size:
+ im_2 = im_2.crop((0, 0) + size)
+ out = Image.new(mode or im_1.mode, im_1.size, None)
+ try:
+ op = getattr(_imagingmath, f"{op}_{im_1.mode}")
+ except AttributeError as e:
+ msg = f"bad operand type for '{op}'"
+ raise TypeError(msg) from e
+ _imagingmath.binop(op, out.getim(), im_1.getim(), im_2.getim())
+ return _Operand(out)
+
+ # unary operators
+ def __bool__(self) -> bool:
+ # an image is "true" if it contains at least one non-zero pixel
+ return self.im.getbbox() is not None
+
+ def __abs__(self) -> _Operand:
+ return self.apply("abs", self)
+
+ def __pos__(self) -> _Operand:
+ return self
+
+ def __neg__(self) -> _Operand:
+ return self.apply("neg", self)
+
+ # binary operators
+ def __add__(self, other: _Operand | float) -> _Operand:
+ return self.apply("add", self, other)
+
+ def __radd__(self, other: _Operand | float) -> _Operand:
+ return self.apply("add", other, self)
+
+ def __sub__(self, other: _Operand | float) -> _Operand:
+ return self.apply("sub", self, other)
+
+ def __rsub__(self, other: _Operand | float) -> _Operand:
+ return self.apply("sub", other, self)
+
+ def __mul__(self, other: _Operand | float) -> _Operand:
+ return self.apply("mul", self, other)
+
+ def __rmul__(self, other: _Operand | float) -> _Operand:
+ return self.apply("mul", other, self)
+
+ def __truediv__(self, other: _Operand | float) -> _Operand:
+ return self.apply("div", self, other)
+
+ def __rtruediv__(self, other: _Operand | float) -> _Operand:
+ return self.apply("div", other, self)
+
+ def __mod__(self, other: _Operand | float) -> _Operand:
+ return self.apply("mod", self, other)
+
+ def __rmod__(self, other: _Operand | float) -> _Operand:
+ return self.apply("mod", other, self)
+
+ def __pow__(self, other: _Operand | float) -> _Operand:
+ return self.apply("pow", self, other)
+
+ def __rpow__(self, other: _Operand | float) -> _Operand:
+ return self.apply("pow", other, self)
+
+ # bitwise
+ def __invert__(self) -> _Operand:
+ return self.apply("invert", self)
+
+ def __and__(self, other: _Operand | float) -> _Operand:
+ return self.apply("and", self, other)
+
+ def __rand__(self, other: _Operand | float) -> _Operand:
+ return self.apply("and", other, self)
+
+ def __or__(self, other: _Operand | float) -> _Operand:
+ return self.apply("or", self, other)
+
+ def __ror__(self, other: _Operand | float) -> _Operand:
+ return self.apply("or", other, self)
+
+ def __xor__(self, other: _Operand | float) -> _Operand:
+ return self.apply("xor", self, other)
+
+ def __rxor__(self, other: _Operand | float) -> _Operand:
+ return self.apply("xor", other, self)
+
+ def __lshift__(self, other: _Operand | float) -> _Operand:
+ return self.apply("lshift", self, other)
+
+ def __rshift__(self, other: _Operand | float) -> _Operand:
+ return self.apply("rshift", self, other)
+
+ # logical
+ def __eq__(self, other: _Operand | float) -> _Operand: # type: ignore[override]
+ return self.apply("eq", self, other)
+
+ def __ne__(self, other: _Operand | float) -> _Operand: # type: ignore[override]
+ return self.apply("ne", self, other)
+
+ def __lt__(self, other: _Operand | float) -> _Operand:
+ return self.apply("lt", self, other)
+
+ def __le__(self, other: _Operand | float) -> _Operand:
+ return self.apply("le", self, other)
+
+ def __gt__(self, other: _Operand | float) -> _Operand:
+ return self.apply("gt", self, other)
+
+ def __ge__(self, other: _Operand | float) -> _Operand:
+ return self.apply("ge", self, other)
+
+
+# conversions
+def imagemath_int(self: _Operand) -> _Operand:
+ return _Operand(self.im.convert("I"))
+
+
+def imagemath_float(self: _Operand) -> _Operand:
+ return _Operand(self.im.convert("F"))
+
+
+# logical
+def imagemath_equal(self: _Operand, other: _Operand | float | None) -> _Operand:
+ return self.apply("eq", self, other, mode="I")
+
+
+def imagemath_notequal(self: _Operand, other: _Operand | float | None) -> _Operand:
+ return self.apply("ne", self, other, mode="I")
+
+
+def imagemath_min(self: _Operand, other: _Operand | float | None) -> _Operand:
+ return self.apply("min", self, other)
+
+
+def imagemath_max(self: _Operand, other: _Operand | float | None) -> _Operand:
+ return self.apply("max", self, other)
+
+
+def imagemath_convert(self: _Operand, mode: str) -> _Operand:
+ return _Operand(self.im.convert(mode))
+
+
+ops = {
+ "int": imagemath_int,
+ "float": imagemath_float,
+ "equal": imagemath_equal,
+ "notequal": imagemath_notequal,
+ "min": imagemath_min,
+ "max": imagemath_max,
+ "convert": imagemath_convert,
+}
+
+
+def lambda_eval(
+ expression: Callable[[dict[str, Any]], Any],
+ options: dict[str, Any] = {},
+ **kw: Any,
+) -> Any:
+ """
+ Returns the result of an image function.
+
+ :py:mod:`~PIL.ImageMath` only supports single-layer images. To process multi-band
+ images, use the :py:meth:`~PIL.Image.Image.split` method or
+ :py:func:`~PIL.Image.merge` function.
+
+ :param expression: A function that receives a dictionary.
+ :param options: Values to add to the function's dictionary. Deprecated.
+ You can instead use one or more keyword arguments.
+ :param **kw: Values to add to the function's dictionary.
+ :return: The expression result. This is usually an image object, but can
+ also be an integer, a floating point value, or a pixel tuple,
+ depending on the expression.
+ """
+
+ if options:
+ deprecate(
+ "ImageMath.lambda_eval options",
+ 12,
+ "ImageMath.lambda_eval keyword arguments",
+ )
+
+ args: dict[str, Any] = ops.copy()
+ args.update(options)
+ args.update(kw)
+ for k, v in args.items():
+ if isinstance(v, Image.Image):
+ args[k] = _Operand(v)
+
+ out = expression(args)
+ try:
+ return out.im
+ except AttributeError:
+ return out
+
+
+def unsafe_eval(
+ expression: str,
+ options: dict[str, Any] = {},
+ **kw: Any,
+) -> Any:
+ """
+ Evaluates an image expression. This uses Python's ``eval()`` function to process
+ the expression string, and carries the security risks of doing so. It is not
+ recommended to process expressions without considering this.
+ :py:meth:`~lambda_eval` is a more secure alternative.
+
+ :py:mod:`~PIL.ImageMath` only supports single-layer images. To process multi-band
+ images, use the :py:meth:`~PIL.Image.Image.split` method or
+ :py:func:`~PIL.Image.merge` function.
+
+ :param expression: A string containing a Python-style expression.
+ :param options: Values to add to the evaluation context. Deprecated.
+ You can instead use one or more keyword arguments.
+ :param **kw: Values to add to the evaluation context.
+ :return: The evaluated expression. This is usually an image object, but can
+ also be an integer, a floating point value, or a pixel tuple,
+ depending on the expression.
+ """
+
+ if options:
+ deprecate(
+ "ImageMath.unsafe_eval options",
+ 12,
+ "ImageMath.unsafe_eval keyword arguments",
+ )
+
+ # build execution namespace
+ args: dict[str, Any] = ops.copy()
+ for k in list(options.keys()) + list(kw.keys()):
+ if "__" in k or hasattr(builtins, k):
+ msg = f"'{k}' not allowed"
+ raise ValueError(msg)
+
+ args.update(options)
+ args.update(kw)
+ for k, v in args.items():
+ if isinstance(v, Image.Image):
+ args[k] = _Operand(v)
+
+ compiled_code = compile(expression, "<string>", "eval")
+
+ def scan(code: CodeType) -> None:
+ for const in code.co_consts:
+ if type(const) is type(compiled_code):
+ scan(const)
+
+ for name in code.co_names:
+ if name not in args and name != "abs":
+ msg = f"'{name}' not allowed"
+ raise ValueError(msg)
+
+ scan(compiled_code)
+ out = builtins.eval(expression, {"__builtins": {"abs": abs}}, args)
+ try:
+ return out.im
+ except AttributeError:
+ return out
+
+
+def eval(
+ expression: str,
+ _dict: dict[str, Any] = {},
+ **kw: Any,
+) -> Any:
+ """
+ Evaluates an image expression.
+
+ Deprecated. Use lambda_eval() or unsafe_eval() instead.
+
+ :param expression: A string containing a Python-style expression.
+ :param _dict: Values to add to the evaluation context. You
+ can either use a dictionary, or one or more keyword
+ arguments.
+ :return: The evaluated expression. This is usually an image object, but can
+ also be an integer, a floating point value, or a pixel tuple,
+ depending on the expression.
+
+ .. deprecated:: 10.3.0
+ """
+
+ deprecate(
+ "ImageMath.eval",
+ 12,
+ "ImageMath.lambda_eval or ImageMath.unsafe_eval",
+ )
+ return unsafe_eval(expression, _dict, **kw)