2021-01-25 23:16:46 +00:00
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"""Representation of Apple II screen memory."""
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2021-01-15 22:18:25 +00:00
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import numpy as np
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import palette as palette_py
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2021-02-14 23:34:25 +00:00
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# TODO: rename "4bit" variable naming now that we also have palettes with 8 bit
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# depth.
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2021-01-15 22:18:25 +00:00
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class Screen:
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X_RES = None
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Y_RES = None
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X_PIXEL_WIDTH = None
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def __init__(self, palette: palette_py.Palette):
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self.main = np.zeros(8192, dtype=np.uint8)
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self.aux = np.zeros(8192, dtype=np.uint8)
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self.palette = palette
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@staticmethod
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def y_to_base_addr(y: int) -> int:
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"""Maps y coordinate to screen memory base address."""
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a = y // 64
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d = y - 64 * a
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b = d // 8
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c = d - 8 * b
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return 1024 * c + 128 * b + 40 * a
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def _image_to_bitmap(self, image: np.ndarray) -> np.ndarray:
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2021-01-25 23:16:46 +00:00
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"""Converts 4-bit image to 2-bit image bitmap.
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Each 4-bit colour value maps to a sliding window of 4 successive pixels,
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via x%4.
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"""
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raise NotImplementedError
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def pack(self, image: np.ndarray):
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"""Packs an image into memory format (8k AUX + 8K MAIN)."""
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2021-01-15 22:18:25 +00:00
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bitmap = self._image_to_bitmap(image)
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# The DHGR display encodes 7 pixels across interleaved 4-byte sequences
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# of AUX and MAIN memory, as follows:
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# PBBBAAAA PDDCCCCB PFEEEEDD PGGGGFFF
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# Aux N Main N Aux N+1 Main N+1 (N even)
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main_col = np.zeros(
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(self.Y_RES, self.X_RES * self.X_PIXEL_WIDTH // 14), dtype=np.uint8)
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aux_col = np.zeros(
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(self.Y_RES, self.X_RES * self.X_PIXEL_WIDTH // 14), dtype=np.uint8)
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for byte_offset in range(80):
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column = np.zeros(self.Y_RES, dtype=np.uint8)
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for bit in range(7):
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column |= (bitmap[:, 7 * byte_offset + bit].astype(
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np.uint8) << bit)
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if byte_offset % 2 == 0:
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aux_col[:, byte_offset // 2] = column
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else:
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main_col[:, (byte_offset - 1) // 2] = column
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for y in range(self.Y_RES):
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addr = self.y_to_base_addr(y)
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self.aux[addr:addr + 40] = aux_col[y, :]
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self.main[addr:addr + 40] = main_col[y, :]
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2021-01-16 18:11:21 +00:00
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return bitmap
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def bitmap_to_image_rgb(self, bitmap: np.ndarray) -> np.ndarray:
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"""Convert our 2-bit bitmap image into a RGB image.
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Colour at every pixel is determined by the value of a 4-bit sliding
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window indexed by x % 4, which gives the index into our 16-colour RGB
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palette.
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"""
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image_rgb = np.empty((192, 560, 3), dtype=np.uint8)
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for y in range(self.Y_RES):
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pixel = [False, False, False, False]
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for x in range(560):
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pixel[x % 4] = bitmap[y, x]
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dots = self.palette.DOTS_TO_INDEX[tuple(pixel)]
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image_rgb[y, x, :] = self.palette.RGB[dots]
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return image_rgb
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2021-01-15 22:18:25 +00:00
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def pixel_palette_options(self, last_pixel_4bit, x: int):
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"""Returns available colours for given x pos and 4-bit colour of x-1"""
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raise NotImplementedError
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2021-02-03 23:40:16 +00:00
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@staticmethod
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def _sin(pos, phase0=4):
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x = pos % 12 + phase0
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return 8 * np.sin(x * 2 * np.pi / 12)
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@staticmethod
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def _cos(pos, phase0=4):
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x = pos % 12 + phase0
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return 8 * np.cos(x * 2 * np.pi / 12)
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def _read(self, line, pos):
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if pos < 0:
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return 0
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# Sather says black level is 0.36V and white level 1.1V, but this
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# doesn't seem to be right (they correspond to values -29 and +33)
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# which means that 0101 grey has Y value ~0, i.e. is black. These are
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# only mentioned as labels on figure 8.2 though.
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#
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# _The Apple II Circuit description_ by W. Gayler gives black=0.5V
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# and white=2.0V which is much more plausible.
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#
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# Conversion is given by floor((voltage-0.518)*1000/12)-15
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return 108 if line[pos] else 0 # -16
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2021-02-03 23:40:16 +00:00
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def bitmap_to_ntsc(self, bitmap: np.ndarray) -> np.ndarray:
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"""
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See http://forums.nesdev.com/viewtopic.php?p=172329#p172329
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"""
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y_width = 12
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i_width = 24
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q_width = 24
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contrast = 167941
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saturation = 144044
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yr = contrast / y_width
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ir = contrast * 1.994681e-6 * saturation / i_width
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qr = contrast * 9.915742e-7 * saturation / q_width
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yg = contrast / y_width
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ig = contrast * 9.151351e-8 * saturation / i_width
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qg = contrast * -6.334805e-7 * saturation / q_width
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yb = contrast / y_width
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ib = contrast * -1.012984e-6 * saturation / i_width
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qb = contrast * 1.667217e-6 * saturation / q_width
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2021-02-14 23:34:25 +00:00
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out_rgb = np.empty((bitmap.shape[0], bitmap.shape[1] * 3, 3),
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dtype=np.uint8)
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for y in range(bitmap.shape[0]):
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ysum = 0
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isum = 0
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qsum = 0
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line = np.repeat(bitmap[y], 3)
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2021-02-04 22:00:03 +00:00
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2021-02-14 23:34:25 +00:00
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# color = y // (192//16)
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# line = np.repeat(np.tile((color & 1, color & 2, color & 4,
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# color & 8), 140), 3)
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for x in range(bitmap.shape[1] * 3):
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ysum += self._read(line, x) - self._read(line, x - y_width)
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isum += self._read(line, x) * self._cos(x) - self._read(
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line, x - i_width) * self._cos((x - i_width))
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qsum += self._read(line, x) * self._sin(x) - self._read(
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line, x - q_width) * self._sin((x - q_width))
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r = min(255, max(0, ysum * yr + isum * ir + qsum * qr) /
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65536)
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g = min(255,
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max(0, (ysum * yg + isum * ig + qsum * qg) / 65536))
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b = min(255,
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max(0, (ysum * yb + isum * ib + qsum * qb) / 65536))
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out_rgb[y, x, :] = (r, g, b)
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return out_rgb
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2021-01-15 22:18:25 +00:00
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class DHGR140Screen(Screen):
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"""DHGR screen ignoring colour fringing, i.e. treating as 140x192x16."""
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X_RES = 140
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Y_RES = 192
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X_PIXEL_WIDTH = 4
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def _image_to_bitmap(self, image_4bit: np.ndarray) -> np.ndarray:
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bitmap = np.zeros(
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(self.Y_RES, self.X_RES * self.X_PIXEL_WIDTH), dtype=np.bool)
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for y in range(self.Y_RES):
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for x in range(self.X_RES):
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pixel = image_4bit[y, x]
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dots = self.palette.DOTS[pixel]
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bitmap[y, x * self.X_PIXEL_WIDTH:(
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(x + 1) * self.X_PIXEL_WIDTH)] = dots
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return bitmap
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def pixel_palette_options(self, last_pixel_4bit, x: int):
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# All 16 colour choices are available at every x position.
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return (
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np.array(list(self.palette.RGB.keys()), dtype=np.uint8),
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np.array(list(self.palette.RGB.values()), dtype=np.uint8))
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class DHGR560Screen(Screen):
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"""DHGR screen including colour fringing and 4 pixel chroma bleed."""
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X_RES = 560
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Y_RES = 192
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X_PIXEL_WIDTH = 1
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def _image_to_bitmap(self, image_4bit: np.ndarray) -> np.ndarray:
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bitmap = np.zeros((self.Y_RES, self.X_RES), dtype=np.bool)
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for y in range(self.Y_RES):
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for x in range(self.X_RES):
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pixel = image_4bit[y, x]
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dots = self.palette.DOTS[pixel]
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phase = x % 4
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bitmap[y, x] = dots[phase]
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return bitmap
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def pixel_palette_options(self, last_pixel_4bit, x: int):
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# The two available colours for position x are given by the 4-bit
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# value of position x-1, and the 4-bit value produced by toggling the
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# value of the x % 4 bit (the current value of NTSC phase)
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last_dots = self.palette.DOTS[last_pixel_4bit]
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other_dots = list(last_dots)
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other_dots[x % 4] = not other_dots[x % 4]
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other_dots = tuple(other_dots)
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other_pixel_4bit = self.palette.DOTS_TO_INDEX[other_dots]
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return (np.array([last_pixel_4bit, other_pixel_4bit], dtype=np.uint8),
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np.array([self.palette.RGB[last_pixel_4bit],
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self.palette.RGB[other_pixel_4bit]], dtype=np.uint8))
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# TODO: refactor to share implementation with DHGR560Screen
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class DHGR560NTSCScreen(Screen):
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"""DHGR screen including colour fringing and 8 pixel chroma bleed."""
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X_RES = 560
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Y_RES = 192
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X_PIXEL_WIDTH = 1
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def _image_to_bitmap(self, image_4bit: np.ndarray) -> np.ndarray:
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bitmap = np.zeros((self.Y_RES, self.X_RES), dtype=np.bool)
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for y in range(self.Y_RES):
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for x in range(self.X_RES):
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pixel = image_4bit[y, x]
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dots = self.palette.DOTS[pixel]
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phase = x % 4
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bitmap[y, x] = dots[4 + phase]
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return bitmap
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def bitmap_to_image_rgb(self, bitmap: np.ndarray) -> np.ndarray:
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"""Convert our 2-bit bitmap image into a RGB image.
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Colour at every pixel is determined by the value of a 8-bit sliding
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window indexed by x % 4, which gives the index into our 256-colour RGB
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palette.
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"""
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image_rgb = np.empty((192, 560, 3), dtype=np.uint8)
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for y in range(self.Y_RES):
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pixel = [False, False, False, False, False, False, False, False]
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for x in range(560):
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pixel[x % 4] = pixel[x % 4 + 4]
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pixel[x % 4 + 4] = bitmap[y, x]
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dots = self.palette.DOTS_TO_INDEX[tuple(pixel)]
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image_rgb[y, x, :] = self.palette.RGB[dots]
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return image_rgb
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def pixel_palette_options(self, last_pixel_4bit, x: int):
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# The two available 8-bit pixel colour choices are given by:
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# - Rotating the pixel value from the current x % 4 + 4 position to
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# x % 4
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# - choosing 0 and 1 for the new values of x % 4 + 4
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next_dots0 = list(self.palette.DOTS[last_pixel_4bit])
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next_dots1 = list(next_dots0)
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next_dots0[x % 4] = next_dots0[x % 4 + 4]
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next_dots0[x % 4 + 4] = False
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next_dots1[x % 4] = next_dots1[x % 4 + 4]
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next_dots1[x % 4 + 4] = True
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pixel_4bit_0 = self.palette.DOTS_TO_INDEX[tuple(next_dots0)]
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pixel_4bit_1 = self.palette.DOTS_TO_INDEX[tuple(next_dots1)]
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return (
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np.array([pixel_4bit_0, pixel_4bit_1], dtype=np.uint8),
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np.array([self.palette.RGB[pixel_4bit_0],
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self.palette.RGB[pixel_4bit_1]], dtype=np.uint8))
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