"""Representation of Apple II screen memory.""" import math import numpy as np import palette as palette_py class DHGRScreen: X_RES = 560 Y_RES = 192 def __init__(self, palette: palette_py.Palette): self.main = np.zeros(8192, dtype=np.uint8) self.aux = np.zeros(8192, dtype=np.uint8) self.palette = palette @staticmethod def y_to_base_addr(y: int) -> int: """Maps y coordinate to screen memory base address.""" a = y // 64 d = y - 64 * a b = d // 8 c = d - 8 * b return 1024 * c + 128 * b + 40 * a def pack(self, bitmap: np.ndarray): """Packs an image into memory format (8k AUX + 8K MAIN).""" # The DHGR display encodes 7 pixels across interleaved 4-byte sequences # of AUX and MAIN memory, as follows: # PBBBAAAA PDDCCCCB PFEEEEDD PGGGGFFF # Aux N Main N Aux N+1 Main N+1 (N even) main_col = np.zeros( (self.Y_RES, self.X_RES // 14), dtype=np.uint8) aux_col = np.zeros( (self.Y_RES, self.X_RES // 14), dtype=np.uint8) for byte_offset in range(80): column = np.zeros(self.Y_RES, dtype=np.uint8) for bit in range(7): column |= (bitmap[:, 7 * byte_offset + bit].astype( np.uint8) << bit) if byte_offset % 2 == 0: aux_col[:, byte_offset // 2] = column else: main_col[:, (byte_offset - 1) // 2] = column for y in range(self.Y_RES): addr = self.y_to_base_addr(y) self.aux[addr:addr + 40] = aux_col[y, :] self.main[addr:addr + 40] = main_col[y, :] return def bitmap_to_image_rgb(self, bitmap: np.ndarray) -> np.ndarray: """Convert our 2-bit bitmap image into a RGB image. Colour at every pixel is determined by the value of an n-bit sliding window and x % 4, which give the index into our RGB palette. """ image_rgb = np.empty((self.Y_RES, self.X_RES, 3), dtype=np.uint8) for y in range(self.Y_RES): bitmap_window = [False] * self.palette.PALETTE_DEPTH for x in range(self.X_RES): # Maintain a sliding window of pixels of width PALETTE_DEPTH bitmap_window = bitmap_window[1:] + [bitmap[y, x]] image_rgb[y, x, :] = self.palette.RGB[ self.palette.bitmap_to_idx( np.array(bitmap_window, dtype=bool)), x % 4] return image_rgb @staticmethod def _sin(pos, phase0=0): x = pos % 12 + phase0 return np.sin(x * 2 * np.pi / 12) @staticmethod def _cos(pos, phase0=0): x = pos % 12 + phase0 return np.cos(x * 2 * np.pi / 12) def _read(self, line, pos): if pos < 0: return 0 return 1 if line[pos] else 0 def bitmap_to_image_ntsc(self, bitmap: np.ndarray) -> np.ndarray: y_width = 12 u_width = 24 v_width = 24 contrast = 1 # TODO: This is necessary to match OpenEmulator. I think it is because # they introduce an extra (unexplained) factor of 2 when applying the # Chebyshev/Lanczos filtering to the u and v components. saturation = 2 # TODO: this phase shift is necessary to match OpenEmulator. I'm not # sure where it comes from - e.g. it doesn't match the phaseInfo # calculation for the signal phase at the start of the visible region. hue = 0.2 * (2 * np.pi) # Apply effect of saturation yuv_to_rgb = np.array( ((1, 0, 0), (0, saturation, 0), (0, 0, saturation)), dtype=np.float) # Apply hue phase rotation yuv_to_rgb = np.matmul(np.array( ((1, 0, 0), (0, np.cos(hue), np.sin(hue)), (0, -np.sin(hue), np.cos(hue)))), yuv_to_rgb) # Y'UV to R'G'B' conversion yuv_to_rgb = np.matmul(np.array( ((1, 0, 1.139883), (1, -0.394642, -.5806227), (1, 2.032062, 0))), yuv_to_rgb) # Apply effect of contrast yuv_to_rgb *= contrast out_rgb = np.empty((bitmap.shape[0], bitmap.shape[1] * 3, 3), dtype=np.uint8) for y in range(bitmap.shape[0]): ysum = 0 usum = 0 vsum = 0 line = np.repeat(bitmap[y], 3) for x in range(bitmap.shape[1] * 3): ysum += self._read(line, x) - self._read(line, x - y_width) usum += self._read(line, x) * self._sin(x) - self._read( line, x - u_width) * self._sin((x - u_width)) vsum += self._read(line, x) * self._cos(x) - self._read( line, x - v_width) * self._cos((x - v_width)) rgb = np.matmul( yuv_to_rgb, np.array( (ysum / y_width, usum / u_width, vsum / v_width)).reshape((3, 1))).reshape(3) r = min(255, max(0, rgb[0] * 255)) g = min(255, max(0, rgb[1] * 255)) b = min(255, max(0, rgb[2] * 255)) out_rgb[y, x, :] = (r, g, b) return out_rgb