"""Various representations of Apple II video display.""" import numpy as np # TODO: support DHGR def bitmap_similarity(a1: np.array, a2: np.array) -> float: """Measure bitwise % similarity between two bitmap arrays""" bits_different = np.sum(np.logical_xor(a1, a2)).item() return 1. - (bits_different / (np.shape(a1)[0] * np.shape(a1)[1])) def y_to_base_addr(y: int, page: int = 0) -> int: """Maps y coordinate to base address on given screen page""" a = y // 64 d = y - 64 * a b = d // 8 c = d - 8 * b addr = 8192 * (page + 1) + 1024 * c + 128 * b + 40 * a return addr Y_TO_BASE_ADDR = [ [y_to_base_addr(y, screen_page) for y in range(192)] for screen_page in (0, 1) ] # Array mapping (page, offset) to x (byte) and y coords respectively PAGE_OFFSET_TO_X = np.zeros((32, 256), dtype=np.uint8) PAGE_OFFSET_TO_Y = np.zeros((32, 256), dtype=np.uint8) # Inverse mappings X_Y_TO_PAGE = np.zeros((192, 40), dtype=np.uint8) X_Y_TO_OFFSET = np.zeros((192, 40), dtype=np.uint8) # Mask of which (page, offset) bytes represent screen holes SCREEN_HOLES = np.full((32, 256), True, dtype=np.bool) # Dict mapping memory address to (page, y, x_byte) tuple ADDR_TO_COORDS = {} def _populate_mappings(): for y in range(192): for x in range(40): y_base = Y_TO_BASE_ADDR[0][y] page = y_base >> 8 offset = y_base - (page << 8) + x PAGE_OFFSET_TO_Y[page - 32, offset] = y PAGE_OFFSET_TO_X[page - 32, offset] = x X_Y_TO_PAGE[y, x] = page - 32 X_Y_TO_OFFSET[y, x] = offset # This (page, offset) is not a screen hole SCREEN_HOLES[page - 32, offset] = False for p in range(2): a = Y_TO_BASE_ADDR[p][y] + x ADDR_TO_COORDS[a] = (p, y, x) _populate_mappings() class Bytemap: """Bitmap array with horizontal pixels packed into bytes.""" def __init__(self, bytemap: np.array = None): self.bytemap = None # type: np.array if bytemap is not None: if bytemap.shape != (192, 40): raise ValueError("Unexpected shape: %r" % (bytemap.shape,)) self.bytemap = bytemap else: self.bytemap = np.zeros((192, 40), dtype=np.uint8) def to_memory_map(self, screen_page: int) -> "MemoryMap": # Numpy magic that constructs a new array indexed by (page, offset) # instead of (y, x). mmap = self.bytemap[PAGE_OFFSET_TO_Y, PAGE_OFFSET_TO_X] # Reset whatever values ended up in the screen holes after this mapping # (which came from default 0 values in PAGE_OFFSET_TO_X) mmap[SCREEN_HOLES] = 0 return MemoryMap(screen_page, mmap) class Bitmap: XMAX = None # type: int YMAX = None # type: int def __init__(self, bitmap: np.array = None): if bitmap is None: self.bitmap = np.zeros((self.YMAX, self.XMAX), dtype=bool) else: if bitmap.shape != (self.YMAX, self.XMAX): raise ValueError("Unexpected shape: %r" % (bitmap.shape,)) self.bitmap = bitmap def randomize(self) -> None: self.bitmap = np.random.randint( 2, size=(self.YMAX, self.XMAX), dtype=bool) @staticmethod def _to_bytemap(bitmap) -> Bytemap: # Insert zero column after every 7 pixels = bitmap.copy() for i in range(pixels.shape[1] // 7 - 1, -1, -1): pixels = np.insert(pixels, (i + 1) * 7, False, axis=1) # packbits is big-endian so we flip the array before and after to # invert this return Bytemap( np.flip(np.packbits(np.flip(pixels, axis=1), axis=1), axis=1)) def to_bytemap(self) -> Bytemap: return self._to_bytemap(self.bitmap) def to_memory_map(self, screen_page:int) -> "MemoryMap": return self.to_bytemap().to_memory_map(screen_page) @staticmethod def _from_bytemap(bytemap: Bytemap) -> np.array: bm = np.unpackbits(bytemap.bytemap, axis=1) bm = np.delete(bm, np.arange(0, bm.shape[1], 8), axis=1) # Need to flip each 7-bit sequence reorder_cols = [] for i in range(bm.shape[1] // 7): for j in range((i + 1) * 7 - 1, i * 7 - 1, -1): reorder_cols.append(j) bm = bm[:, reorder_cols] return np.array(bm, dtype=np.bool) @classmethod def from_bytemap(cls, bytemap: Bytemap) -> "Bitmap": return cls(cls._from_bytemap(bytemap)) class HGR140Bitmap(Bitmap): XMAX = 140 # double-wide pixels to not worry about colour effects YMAX = 192 def to_bytemap(self) -> Bytemap: # Double each pixel horizontally return self._to_bytemap(np.repeat(self.bitmap, 2, axis=1)) @classmethod def from_bytemap(cls, bytemap: Bytemap) -> "HGR140Bitmap": # Undouble pixels bitmap = cls._from_bytemap(bytemap) bitmap = np.array( np.delete(bitmap, np.arange(0, bitmap.shape[1], 2), axis=1), dtype=np.bool ) return HGR140Bitmap(bitmap) class HGRBitmap(Bitmap): XMAX = 280 YMAX = 192 class DHGRBitmap(Bitmap): XMAX = 560 YMAX = 192 class FlatMemoryMap: """Linear 8K representation of HGR screen memory.""" def __init__(self, screen_page: int, data: np.array=None): if screen_page not in [1, 2]: raise ValueError("Screen page out of bounds: %d" % screen_page) self.screen_page = screen_page # type: int self._addr_start = 8192 * self.screen_page self._addr_end = self._addr_start + 8191 self.data = None # type: np.array if data is not None: if data.shape != (8192,): raise ValueError("Unexpected shape: %r" % (data.shape,)) self.data = data else: self.data = np.zeros((8192,), dtype=np.uint8) def to_memory_map(self): return MemoryMap(self.screen_page, self.data.reshape((32, 256))) def write(self, addr: int, val: int) -> None: """Updates screen image to set 0xaddr = val (including screen holes)""" if addr < self._addr_start or addr > self._addr_end: raise ValueError("Address out of range: 0x%04x" % addr) self.data[addr - self._addr_start] = val class MemoryMap: """Page/offset-structured representation of HGR screen memory.""" def __init__(self, screen_page: int, page_offset: np.array=None): if screen_page not in [1, 2]: raise ValueError("Screen page out of bounds: %d" % screen_page) self.screen_page = screen_page # type: int self._page_start = 32 * screen_page self.page_offset = None # type: np.array if page_offset is not None: if page_offset.shape != (32, 256): raise ValueError("Unexpected shape: %r" % (page_offset.shape,)) self.page_offset = page_offset else: self.page_offset = np.zeros((32, 256), dtype=np.uint8) def to_flat_memory_map(self) -> FlatMemoryMap: return FlatMemoryMap(self.screen_page, self.page_offset.reshape(8192)) def to_bytemap(self) -> Bytemap: bytemap = self.page_offset[X_Y_TO_PAGE, X_Y_TO_OFFSET] return Bytemap(bytemap) def write(self, page: int, offset: int, val: int) -> None: """Updates screen image to set (page, offset)=val (inc. screen holes)""" self.page_offset[page - self._page_start][offset] = val