ImageFont.py

#
# The Python Imaging Library.
# $Id$
#
# PIL raster font management
#
# History:
# 1996-08-07 fl   created (experimental)
# 1997-08-25 fl   minor adjustments to handle fonts from pilfont 0.3
# 1999-02-06 fl   rewrote most font management stuff in C
# 1999-03-17 fl   take pth files into account in load_path (from Richard Jones)
# 2001-02-17 fl   added freetype support
# 2001-05-09 fl   added TransposedFont wrapper class
# 2002-03-04 fl   make sure we have a "L" or "1" font
# 2002-12-04 fl   skip non-directory entries in the system path
# 2003-04-29 fl   add embedded default font
# 2003-09-27 fl   added support for truetype charmap encodings
#
# Todo:
# Adapt to PILFONT2 format (16-bit fonts, compressed, single file)
#
# Copyright (c) 1997-2003 by Secret Labs AB
# Copyright (c) 1996-2003 by Fredrik Lundh
#
# See the README file for information on usage and redistribution.
#

from . import Image
from ._util import isDirectory, isPath, py3
import os
import sys

LAYOUT_BASIC = 0
LAYOUT_RAQM = 1


class _imagingft_not_installed(object):
    # module placeholder
    def __getattr__(self, id):
        raise ImportError("The _imagingft C module is not installed")


try:
    from . import _imagingft as core
except ImportError:
    core = _imagingft_not_installed()


# FIXME: add support for pilfont2 format (see FontFile.py)

# --------------------------------------------------------------------
# Font metrics format:
#       "PILfont" LF
#       fontdescriptor LF
#       (optional) key=value... LF
#       "DATA" LF
#       binary data: 256*10*2 bytes (dx, dy, dstbox, srcbox)
#
# To place a character, cut out srcbox and paste at dstbox,
# relative to the character position.  Then move the character
# position according to dx, dy.
# --------------------------------------------------------------------


class ImageFont(object):
    "PIL font wrapper"

    def _load_pilfont(self, filename):

        with open(filename, "rb") as fp:
            for ext in (".png", ".gif", ".pbm"):
                try:
                    fullname = os.path.splitext(filename)[0] + ext
                    image = Image.open(fullname)
                except Exception:
                    pass
                else:
                    if image and image.mode in ("1", "L"):
                        break
            else:
                raise IOError("cannot find glyph data file")

            self.file = fullname

            return self._load_pilfont_data(fp, image)

    def _load_pilfont_data(self, file, image):

        # read PILfont header
        if file.readline() != b"PILfont\n":
            raise SyntaxError("Not a PILfont file")
        file.readline().split(b";")
        self.info = []  # FIXME: should be a dictionary
        while True:
            s = file.readline()
            if not s or s == b"DATA\n":
                break
            self.info.append(s)

        # read PILfont metrics
        data = file.read(256 * 20)

        # check image
        if image.mode not in ("1", "L"):
            raise TypeError("invalid font image mode")

        image.load()

        self.font = Image.core.font(image.im, data)

    def getsize(self, text, *args, **kwargs):
        return self.font.getsize(text)

    def getmask(self, text, mode="", *args, **kwargs):
        return self.font.getmask(text, mode)


##
# Wrapper for FreeType fonts.  Application code should use the
# <b>truetype</b> factory function to create font objects.


class FreeTypeFont(object):
    "FreeType font wrapper (requires _imagingft service)"

    def __init__(self, font=None, size=10, index=0, encoding="", layout_engine=None):
        # FIXME: use service provider instead

        self.path = font
        self.size = size
        self.index = index
        self.encoding = encoding

        if layout_engine not in (LAYOUT_BASIC, LAYOUT_RAQM):
            layout_engine = LAYOUT_BASIC
            if core.HAVE_RAQM:
                layout_engine = LAYOUT_RAQM
        elif layout_engine == LAYOUT_RAQM and not core.HAVE_RAQM:
            layout_engine = LAYOUT_BASIC

        self.layout_engine = layout_engine

        def load_from_bytes(f):
            self.font_bytes = f.read()
            self.font = core.getfont(
                "", size, index, encoding, self.font_bytes, layout_engine
            )

        if isPath(font):
            if sys.platform == "win32":
                font_bytes_path = font if isinstance(font, bytes) else font.encode()
                try:
                    font_bytes_path.decode("ascii")
                except UnicodeDecodeError:
                    # FreeType cannot load fonts with non-ASCII characters on Windows
                    # So load it into memory first
                    with open(font, "rb") as f:
                        load_from_bytes(f)
                    return
            self.font = core.getfont(
                font, size, index, encoding, layout_engine=layout_engine
            )
        else:
            load_from_bytes(font)

    def _multiline_split(self, text):
        split_character = "\n" if isinstance(text, str) else b"\n"
        return text.split(split_character)

    def getname(self):
        """
        :return: A tuple of the font family (e.g. Helvetica) and the font style
            (e.g. Bold)
        """
        return self.font.family, self.font.style

    def getmetrics(self):
        """
        :return: A tuple of the font ascent (the distance from the baseline to
            the highest outline point) and descent (the distance from the
            baseline to the lowest outline point, a negative value)
        """
        return self.font.ascent, self.font.descent

    def getsize(self, text, direction=None, features=None, language=None):
        """
        Returns width and height (in pixels) of given text if rendered in font with
        provided direction, features, and language.

        :param text: Text to measure.

        :param direction: Direction of the text. It can be 'rtl' (right to
                          left), 'ltr' (left to right) or 'ttb' (top to bottom).
                          Requires libraqm.

                          .. versionadded:: 4.2.0

        :param features: A list of OpenType font features to be used during text
                         layout. This is usually used to turn on optional
                         font features that are not enabled by default,
                         for example 'dlig' or 'ss01', but can be also
                         used to turn off default font features for
                         example '-liga' to disable ligatures or '-kern'
                         to disable kerning.  To get all supported
                         features, see
                         https://docs.microsoft.com/en-us/typography/opentype/spec/featurelist
                         Requires libraqm.

                         .. versionadded:: 4.2.0

        :param language: Language of the text. Different languages may use
                         different glyph shapes or ligatures. This parameter tells
                         the font which language the text is in, and to apply the
                         correct substitutions as appropriate, if available.
                         It should be a `BCP 47 language code
                         <https://www.w3.org/International/articles/language-tags/>`
                         Requires libraqm.

                         .. versionadded:: 6.0.0

        :return: (width, height)
        """
        size, offset = self.font.getsize(text, direction, features, language)
        return (size[0] + offset[0], size[1] + offset[1])

    def getsize_multiline(
        self, text, direction=None, spacing=4, features=None, language=None
    ):
        """
        Returns width and height (in pixels) of given text if rendered in font
        with provided direction, features, and language, while respecting
        newline characters.

        :param text: Text to measure.

        :param direction: Direction of the text. It can be 'rtl' (right to
                          left), 'ltr' (left to right) or 'ttb' (top to bottom).
                          Requires libraqm.

        :param spacing: The vertical gap between lines, defaulting to 4 pixels.

        :param features: A list of OpenType font features to be used during text
                         layout. This is usually used to turn on optional
                         font features that are not enabled by default,
                         for example 'dlig' or 'ss01', but can be also
                         used to turn off default font features for
                         example '-liga' to disable ligatures or '-kern'
                         to disable kerning.  To get all supported
                         features, see
                         https://docs.microsoft.com/en-us/typography/opentype/spec/featurelist
                         Requires libraqm.

        :param language: Language of the text. Different languages may use
                         different glyph shapes or ligatures. This parameter tells
                         the font which language the text is in, and to apply the
                         correct substitutions as appropriate, if available.
                         It should be a `BCP 47 language code
                         <https://www.w3.org/International/articles/language-tags/>`
                         Requires libraqm.

                         .. versionadded:: 6.0.0

        :return: (width, height)
        """
        max_width = 0
        lines = self._multiline_split(text)
        line_spacing = self.getsize("A")[1] + spacing
        for line in lines:
            line_width, line_height = self.getsize(line, direction, features, language)
            max_width = max(max_width, line_width)

        return max_width, len(lines) * line_spacing - spacing

    def getoffset(self, text):
        """
        Returns the offset of given text. This is the gap between the
        starting coordinate and the first marking. Note that this gap is
        included in the result of :py:func:`~PIL.ImageFont.FreeTypeFont.getsize`.

        :param text: Text to measure.

        :return: A tuple of the x and y offset
        """
        return self.font.getsize(text)[1]

    def getmask(self, text, mode="", direction=None, features=None, language=None):
        """
        Create a bitmap for the text.

        If the font uses antialiasing, the bitmap should have mode ``L`` and use a
        maximum value of 255. Otherwise, it should have mode ``1``.

        :param text: Text to render.
        :param mode: Used by some graphics drivers to indicate what mode the
                     driver prefers; if empty, the renderer may return either
                     mode. Note that the mode is always a string, to simplify
                     C-level implementations.

                     .. versionadded:: 1.1.5

        :param direction: Direction of the text. It can be 'rtl' (right to
                          left), 'ltr' (left to right) or 'ttb' (top to bottom).
                          Requires libraqm.

                          .. versionadded:: 4.2.0

        :param features: A list of OpenType font features to be used during text
                         layout. This is usually used to turn on optional
                         font features that are not enabled by default,
                         for example 'dlig' or 'ss01', but can be also
                         used to turn off default font features for
                         example '-liga' to disable ligatures or '-kern'
                         to disable kerning.  To get all supported
                         features, see
                         https://docs.microsoft.com/en-us/typography/opentype/spec/featurelist
                         Requires libraqm.

                         .. versionadded:: 4.2.0

        :param language: Language of the text. Different languages may use
                         different glyph shapes or ligatures. This parameter tells
                         the font which language the text is in, and to apply the
                         correct substitutions as appropriate, if available.
                         It should be a `BCP 47 language code
                         <https://www.w3.org/International/articles/language-tags/>`
                         Requires libraqm.

                         .. versionadded:: 6.0.0

        :return: An internal PIL storage memory instance as defined by the
                 :py:mod:`PIL.Image.core` interface module.
        """
        return self.getmask2(
            text, mode, direction=direction, features=features, language=language
        )[0]

    def getmask2(
        self,
        text,
        mode="",
        fill=Image.core.fill,
        direction=None,
        features=None,
        language=None,
        *args,
        **kwargs
    ):
        """
        Create a bitmap for the text.

        If the font uses antialiasing, the bitmap should have mode ``L`` and use a
        maximum value of 255. Otherwise, it should have mode ``1``.

        :param text: Text to render.
        :param mode: Used by some graphics drivers to indicate what mode the
                     driver prefers; if empty, the renderer may return either
                     mode. Note that the mode is always a string, to simplify
                     C-level implementations.

                     .. versionadded:: 1.1.5

        :param direction: Direction of the text. It can be 'rtl' (right to
                          left), 'ltr' (left to right) or 'ttb' (top to bottom).
                          Requires libraqm.

                          .. versionadded:: 4.2.0

        :param features: A list of OpenType font features to be used during text
                         layout. This is usually used to turn on optional
                         font features that are not enabled by default,
                         for example 'dlig' or 'ss01', but can be also
                         used to turn off default font features for
                         example '-liga' to disable ligatures or '-kern'
                         to disable kerning.  To get all supported
                         features, see
                         https://docs.microsoft.com/en-us/typography/opentype/spec/featurelist
                         Requires libraqm.

                         .. versionadded:: 4.2.0

        :param language: Language of the text. Different languages may use
                         different glyph shapes or ligatures. This parameter tells
                         the font which language the text is in, and to apply the
                         correct substitutions as appropriate, if available.
                         It should be a `BCP 47 language code
                         <https://www.w3.org/International/articles/language-tags/>`
                         Requires libraqm.

                         .. versionadded:: 6.0.0

        :return: A tuple of an internal PIL storage memory instance as defined by the
                 :py:mod:`PIL.Image.core` interface module, and the text offset, the
                 gap between the starting coordinate and the first marking
        """
        size, offset = self.font.getsize(text, direction, features, language)
        im = fill("L", size, 0)
        self.font.render(text, im.id, mode == "1", direction, features, language)
        return im, offset

    def font_variant(
        self, font=None, size=None, index=None, encoding=None, layout_engine=None
    ):
        """
        Create a copy of this FreeTypeFont object,
        using any specified arguments to override the settings.

        Parameters are identical to the parameters used to initialize this
        object.

        :return: A FreeTypeFont object.
        """
        return FreeTypeFont(
            font=self.path if font is None else font,
            size=self.size if size is None else size,
            index=self.index if index is None else index,
            encoding=self.encoding if encoding is None else encoding,
            layout_engine=layout_engine or self.layout_engine,
        )

    def get_variation_names(self):
        """
        :returns: A list of the named styles in a variation font.
        :exception IOError: If the font is not a variation font.
        """
        try:
            names = self.font.getvarnames()
        except AttributeError:
            raise NotImplementedError("FreeType 2.9.1 or greater is required")
        return [name.replace(b"\x00", b"") for name in names]

    def set_variation_by_name(self, name):
        """
        :param name: The name of the style.
        :exception IOError: If the font is not a variation font.
        """
        names = self.get_variation_names()
        if not isinstance(name, bytes):
            name = name.encode()
        index = names.index(name)

        if index == getattr(self, "_last_variation_index", None):
            # When the same name is set twice in a row,
            # there is an 'unknown freetype error'
            # https://savannah.nongnu.org/bugs/?56186
            return
        self._last_variation_index = index

        self.font.setvarname(index)

    def get_variation_axes(self):
        """
        :returns: A list of the axes in a variation font.
        :exception IOError: If the font is not a variation font.
        """
        try:
            axes = self.font.getvaraxes()
        except AttributeError:
            raise NotImplementedError("FreeType 2.9.1 or greater is required")
        for axis in axes:
            axis["name"] = axis["name"].replace(b"\x00", b"")
        return axes

    def set_variation_by_axes(self, axes):
        """
        :param axes: A list of values for each axis.
        :exception IOError: If the font is not a variation font.
        """
        try:
            self.font.setvaraxes(axes)
        except AttributeError:
            raise NotImplementedError("FreeType 2.9.1 or greater is required")


class TransposedFont(object):
    "Wrapper for writing rotated or mirrored text"

    def __init__(self, font, orientation=None):
        """
        Wrapper that creates a transposed font from any existing font
        object.

        :param font: A font object.
        :param orientation: An optional orientation.  If given, this should
            be one of Image.FLIP_LEFT_RIGHT, Image.FLIP_TOP_BOTTOM,
            Image.ROTATE_90, Image.ROTATE_180, or Image.ROTATE_270.
        """
        self.font = font
        self.orientation = orientation  # any 'transpose' argument, or None

    def getsize(self, text, *args, **kwargs):
        w, h = self.font.getsize(text)
        if self.orientation in (Image.ROTATE_90, Image.ROTATE_270):
            return h, w
        return w, h

    def getmask(self, text, mode="", *args, **kwargs):
        im = self.font.getmask(text, mode, *args, **kwargs)
        if self.orientation is not None:
            return im.transpose(self.orientation)
        return im


def load(filename):
    """
    Load a font file.  This function loads a font object from the given
    bitmap font file, and returns the corresponding font object.

    :param filename: Name of font file.
    :return: A font object.
    :exception IOError: If the file could not be read.
    """
    f = ImageFont()
    f._load_pilfont(filename)
    return f


def truetype(font=None, size=10, index=0, encoding="", layout_engine=None):
    """
    Load a TrueType or OpenType font from a file or file-like object,
    and create a font object.
    This function loads a font object from the given file or file-like
    object, and creates a font object for a font of the given size.

    This function requires the _imagingft service.

    :param font: A filename or file-like object containing a TrueType font.
                     Under Windows, if the file is not found in this filename,
                     the loader also looks in Windows :file:`fonts/` directory.
    :param size: The requested size, in points.
    :param index: Which font face to load (default is first available face).
    :param encoding: Which font encoding to use (default is Unicode). Common
                     encodings are "unic" (Unicode), "symb" (Microsoft
                     Symbol), "ADOB" (Adobe Standard), "ADBE" (Adobe Expert),
                     and "armn" (Apple Roman). See the FreeType documentation
                     for more information.
    :param layout_engine: Which layout engine to use, if available:
                     `ImageFont.LAYOUT_BASIC` or `ImageFont.LAYOUT_RAQM`.
    :return: A font object.
    :exception IOError: If the file could not be read.
    """

    def freetype(font):
        return FreeTypeFont(font, size, index, encoding, layout_engine)

    try:
        return freetype(font)
    except IOError:
        if not isPath(font):
            raise
        ttf_filename = os.path.basename(font)

        dirs = []
        if sys.platform == "win32":
            # check the windows font repository
            # NOTE: must use uppercase WINDIR, to work around bugs in
            # 1.5.2's os.environ.get()
            windir = os.environ.get("WINDIR")
            if windir:
                dirs.append(os.path.join(windir, "fonts"))
        elif sys.platform in ("linux", "linux2"):
            lindirs = os.environ.get("XDG_DATA_DIRS", "")
            if not lindirs:
                # According to the freedesktop spec, XDG_DATA_DIRS should
                # default to /usr/share
                lindirs = "/usr/share"
            dirs += [os.path.join(lindir, "fonts") for lindir in lindirs.split(":")]
        elif sys.platform == "darwin":
            dirs += [
                "/Library/Fonts",
                "/System/Library/Fonts",
                os.path.expanduser("~/Library/Fonts"),
            ]

        ext = os.path.splitext(ttf_filename)[1]
        first_font_with_a_different_extension = None
        for directory in dirs:
            for walkroot, walkdir, walkfilenames in os.walk(directory):
                for walkfilename in walkfilenames:
                    if ext and walkfilename == ttf_filename:
                        return freetype(os.path.join(walkroot, walkfilename))
                    elif not ext and os.path.splitext(walkfilename)[0] == ttf_filename:
                        fontpath = os.path.join(walkroot, walkfilename)
                        if os.path.splitext(fontpath)[1] == ".ttf":
                            return freetype(fontpath)
                        if not ext and first_font_with_a_different_extension is None:
                            first_font_with_a_different_extension = fontpath
        if first_font_with_a_different_extension:
            return freetype(first_font_with_a_different_extension)
        raise


def load_path(filename):
    """
    Load font file. Same as :py:func:`~PIL.ImageFont.load`, but searches for a
    bitmap font along the Python path.

    :param filename: Name of font file.
    :return: A font object.
    :exception IOError: If the file could not be read.
    """
    for directory in sys.path:
        if isDirectory(directory):
            if not isinstance(filename, str):
                if py3:
                    filename = filename.decode("utf-8")
                else:
                    filename = filename.encode("utf-8")
            try:
                return load(os.path.join(directory, filename))
            except IOError:
                pass
    raise IOError("cannot find font file")


def load_default():
    """Load a "better than nothing" default font.

    .. versionadded:: 1.1.4

    :return: A font object.
    """
    from io import BytesIO
    import base64

    f = ImageFont()
    f._load_pilfont_data(
        # courB08
        BytesIO(
            base64.b64decode(
                b"""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    return f