mirror of
https://github.com/KrisKennaway/ii-vision.git
synced 2025-02-20 17:29:17 +00:00
Move edit distance functions into separate module and clean up
partially. Slight optimization to not heapppush() many times, instead build a regular list and then heapify.
This commit is contained in:
parent
e0ac37fe4a
commit
01ffd034eb
163
edit_distance.py
Normal file
163
edit_distance.py
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@ -0,0 +1,163 @@
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import functools
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import numpy as np
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import weighted_levenshtein
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@functools.lru_cache(None)
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def byte_to_colour_string(b: int, is_odd_offset: bool) -> str:
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pixels = []
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idx = 0
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if is_odd_offset:
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pixels.append("01"[b & 0x01])
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idx += 1
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# K = black
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# G = green
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# V = violet
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# W = white
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palettes = (
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(
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"K", # 0x00
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"V", # 0x01
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"G", # 0x10
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"W" # 0x11
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), (
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"K", # 0x00
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"B", # 0x01
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"O", # 0x10
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"W" # 0x11
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)
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)
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palette = palettes[(b & 0x80) != 0]
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for _ in range(3):
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pixel = palette[(b >> idx) & 0b11]
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pixels.append(pixel)
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idx += 2
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if not is_odd_offset:
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pixels.append("01"[b & 0x40 != 0])
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idx += 1
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return "".join(pixels)
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# TODO: what about increasing transposition cost? Might be better to have
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# any pixel at the right place even if the wrong colour?
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substitute_costs = np.ones((128, 128), dtype=np.float64)
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error_substitute_costs = np.ones((128, 128), dtype=np.float64)
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# Penalty for turning on/off a black bit
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for c in "01GVWOB":
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substitute_costs[(ord('K'), ord(c))] = 1
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substitute_costs[(ord(c), ord('K'))] = 1
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error_substitute_costs[(ord('K'), ord(c))] = 5
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error_substitute_costs[(ord(c), ord('K'))] = 5
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# Penalty for changing colour
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for c in "01GVWOB":
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for d in "01GVWOB":
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substitute_costs[(ord(c), ord(d))] = 1
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substitute_costs[(ord(d), ord(c))] = 1
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error_substitute_costs[(ord(c), ord(d))] = 5
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error_substitute_costs[(ord(d), ord(c))] = 5
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insert_costs = np.ones(128, dtype=np.float64) * 1000
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delete_costs = np.ones(128, dtype=np.float64) * 1000
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def _edit_weight(a: int, b: int, is_odd_offset: bool, error: bool):
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a_pixels = byte_to_colour_string(a, is_odd_offset)
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b_pixels = byte_to_colour_string(b, is_odd_offset)
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dist = weighted_levenshtein.dam_lev(
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a_pixels, b_pixels,
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insert_costs=insert_costs,
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delete_costs=delete_costs,
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substitute_costs=error_substitute_costs if error else substitute_costs,
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)
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return np.int64(dist)
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def edit_weight_matrixes(error: bool) -> np.array:
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ewm = np.zeros(shape=(256, 256, 2), dtype=np.int64)
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for a in range(256):
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for b in range(256):
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for is_odd_offset in (False, True):
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ewm[a, b, int(is_odd_offset)] = _edit_weight(
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a, b, is_odd_offset, error)
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return ewm
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_ewm = edit_weight_matrixes(False)
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_error_ewm = edit_weight_matrixes(True)
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@functools.lru_cache(None)
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def edit_weight(a: int, b: int, is_odd_offset: bool, error: bool):
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e = _error_ewm if error else _ewm
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return e[a, b, int(is_odd_offset)]
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_even_ewm = {}
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_odd_ewm = {}
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_even_error_ewm = {}
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_odd_error_ewm = {}
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for a in range(256):
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for b in range(256):
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_even_ewm[(a << 8) + b] = edit_weight(a, b, False, False)
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_odd_ewm[(a << 8) + b] = edit_weight(a, b, True, False)
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_even_error_ewm[(a << 8) + b] = edit_weight(a, b, False, True)
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_odd_error_ewm[(a << 8) + b] = edit_weight(a, b, True, True)
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@functools.lru_cache(None)
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def _content_a_array(content: int, shape) -> np.array:
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return (np.ones(shape, dtype=np.uint16) * content) << 8
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def content_edit_weight(content: int, b: np.array) -> np.array:
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assert b.shape == (32, 256), b.shape
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# Extract even and off column offsets (128,)
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even_b = b[:, ::2]
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odd_b = b[:, 1::2]
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a = _content_a_array(content, even_b.shape)
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even = a + even_b
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odd = a + odd_b
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even_weights = np.vectorize(_even_error_ewm.__getitem__)(even)
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odd_weights = np.vectorize(_odd_error_ewm.__getitem__)(odd)
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res = np.ndarray(shape=b.shape, dtype=np.int64)
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res[:, ::2] = even_weights
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res[:, 1::2] = odd_weights
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return res
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def array_edit_weight(a: np.array, b: np.array) -> np.array:
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# Extract even and off column offsets (32, 128)
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even_a = a[:, ::2]
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odd_a = a[:, 1::2]
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even_b = b[:, ::2]
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odd_b = b[:, 1::2]
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even = (even_a.astype(np.uint16) << 8) + even_b
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odd = (odd_a.astype(np.uint16) << 8) + odd_b
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even_weights = np.vectorize(_even_ewm.__getitem__)(even)
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odd_weights = np.vectorize(_odd_ewm.__getitem__)(odd)
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res = np.ndarray(shape=a.shape, dtype=np.int64)
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res[:, ::2] = even_weights
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res[:, 1::2] = odd_weights
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return res
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471
video.py
471
video.py
@ -1,4 +1,3 @@
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import functools
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import heapq
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import random
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import os
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@ -11,251 +10,18 @@ from typing import List, Iterator, Tuple
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from PIL import Image
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import numpy as np
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import skvideo.io
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import weighted_levenshtein
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import edit_distance
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import opcodes
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import screen
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def hamming_weight(n):
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"""Compute hamming weight of 8-bit int"""
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n = (n & 0x55) + ((n & 0xAA) >> 1)
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n = (n & 0x33) + ((n & 0xCC) >> 2)
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n = (n & 0x0F) + ((n & 0xF0) >> 4)
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return n
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# TODO: what about increasing transposition cost? Might be better to have
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# any pixel at the right place even if the wrong colour?
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substitute_costs = np.ones((128, 128), dtype=np.float64)
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error_substitute_costs = np.ones((128, 128), dtype=np.float64)
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# Penalty for turning on/off a black bit
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for c in "01GVWOB":
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substitute_costs[(ord('K'), ord(c))] = 1
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substitute_costs[(ord(c), ord('K'))] = 1
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error_substitute_costs[(ord('K'), ord(c))] = 5
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error_substitute_costs[(ord(c), ord('K'))] = 5
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# Penalty for changing colour
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for c in "01GVWOB":
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for d in "01GVWOB":
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substitute_costs[(ord(c), ord(d))] = 1
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substitute_costs[(ord(d), ord(c))] = 1
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error_substitute_costs[(ord(c), ord(d))] = 5
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error_substitute_costs[(ord(d), ord(c))] = 5
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insert_costs = np.ones(128, dtype=np.float64) * 1000
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delete_costs = np.ones(128, dtype=np.float64) * 1000
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def _edit_weight(a: int, b: int, is_odd_offset: bool, error: bool):
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a_pixels = byte_to_colour_string(a, is_odd_offset)
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b_pixels = byte_to_colour_string(b, is_odd_offset)
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dist = weighted_levenshtein.dam_lev(
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a_pixels, b_pixels,
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insert_costs=insert_costs,
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delete_costs=delete_costs,
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substitute_costs=error_substitute_costs if error else substitute_costs,
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)
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return np.int64(dist)
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def edit_weight_matrixes(error: bool) -> np.array:
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ewm = np.zeros(shape=(256, 256, 2), dtype=np.int64)
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for a in range(256):
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for b in range(256):
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for is_odd_offset in (False, True):
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ewm[a, b, int(is_odd_offset)] = _edit_weight(
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a, b, is_odd_offset, error)
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return ewm
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_ewm = edit_weight_matrixes(False)
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_error_ewm = edit_weight_matrixes(True)
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@functools.lru_cache(None)
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def edit_weight(a: int, b: int, is_odd_offset: bool, error: bool):
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e = _error_ewm if error else _ewm
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return e[a, b, int(is_odd_offset)]
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#
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# @functools.lru_cache(None)
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# def edit_weight_old(a: int, b: int, is_odd_offset: bool):
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# a_pixels = byte_to_colour_string(a, is_odd_offset)
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# b_pixels = byte_to_colour_string(b, is_odd_offset)
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#
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# dist = weighted_levenshtein.dam_lev(
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# a_pixels, b_pixels,
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# insert_costs=insert_costs,
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# delete_costs=delete_costs,
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# substitute_costs=substitute_costs,
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# )
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# assert dist == edit_weight_new(a, b, is_odd_offset), (dist, a, b,
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# is_odd_offset)
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# return np.int64(dist)
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_even_ewm = {}
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_odd_ewm = {}
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_even_error_ewm = {}
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_odd_error_ewm = {}
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for a in range(256):
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for b in range(256):
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_even_ewm[(a << 8) + b] = edit_weight(a, b, False, False)
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_odd_ewm[(a << 8) + b] = edit_weight(a, b, True, False)
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_even_error_ewm[(a << 8) + b] = edit_weight(a, b, False, True)
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_odd_error_ewm[(a << 8) + b] = edit_weight(a, b, True, True)
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#
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# for a in range(256):
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# for b in range(256):
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# assert edit_weight(a, b, True) == edit_weight(b, a, True)
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# assert edit_weight(a, b, False) == edit_weight(b, a, False)
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# def array_edit_weight2(content: int, b: np.array) -> np.array:
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# assert b.shape == (256,), b.shape
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#
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# # Extract even and off column offsets (128,)
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# even_b = b[::2]
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# odd_b = b[1::2]
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#
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# a = np.ones(even_b.shape, dtype=np.int64) * content
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#
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# even = (a << 8) + even_b
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# odd = (a << 8) + odd_b
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#
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# even_weights = npi.remap(
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# even, _ewm_keys, _even_ewm_values, missing="raise")
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# odd_weights = npi.remap(
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# odd, _ewm_keys, _odd_ewm_values, missing="raise")
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#
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# res = np.ndarray(shape=(256,), dtype=np.int64)
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# res[::2] = even_weights
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# res[1::2] = odd_weights
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#
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# return res
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@functools.lru_cache(None)
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def _content_a_array(content: int, shape) -> np.array:
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return (np.ones(shape, dtype=np.uint16) * content) << 8
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def content_edit_weight(content: int, b: np.array) -> np.array:
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assert b.shape == (32, 256), b.shape
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# Extract even and off column offsets (128,)
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even_b = b[:, ::2]
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odd_b = b[:, 1::2]
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a = _content_a_array(content, even_b.shape)
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even = a + even_b
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odd = a + odd_b
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even_weights = np.vectorize(_even_error_ewm.__getitem__)(even)
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odd_weights = np.vectorize(_odd_error_ewm.__getitem__)(odd)
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res = np.ndarray(shape=b.shape, dtype=np.int64)
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res[:, ::2] = even_weights
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res[:, 1::2] = odd_weights
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return res
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def array_edit_weight(a: np.array, b: np.array) -> np.array:
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# assert a.shape == b.shape == (32, 256), (a.shape, b.shape)
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# Extract even and off column offsets (32, 128)
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even_a = a[:, ::2]
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odd_a = a[:, 1::2]
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even_b = b[:, ::2]
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odd_b = b[:, 1::2]
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even = (even_a.astype(np.uint16) << 8) + even_b
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odd = (odd_a.astype(np.uint16) << 8) + odd_b
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#
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# print("XXX")
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# print(a)
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# print(b)
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# print(even_a)
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# print(even_b)
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# print(even)
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even_weights = np.vectorize(_even_ewm.__getitem__)(even)
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odd_weights = np.vectorize(_odd_ewm.__getitem__)(odd)
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#
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# print(even_weights)
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# print(odd_weights)
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res = np.ndarray(shape=a.shape, dtype=np.int64)
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res[:, ::2] = even_weights
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res[:, 1::2] = odd_weights
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return res
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# _x = np.ndarray((4, 4), dtype=np.uint8)
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# print(array_edit_weight(_x, _x))
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# assert np.array_equal(array_edit_weight(_x, _x), np.zeros((32, 256)))
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@functools.lru_cache(None)
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def byte_to_colour_string(b: int, is_odd_offset: bool) -> str:
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pixels = []
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idx = 0
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if is_odd_offset:
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pixels.append("01"[b & 0x01])
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idx += 1
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# K = black
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# G = green
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# V = violet
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# W = white
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palettes = (
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(
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"K", # 0x00
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"V", # 0x01
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"G", # 0x10
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"W" # 0x11
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), (
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"K", # 0x00
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"B", # 0x01
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"O", # 0x10
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"W" # 0x11
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)
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)
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palette = palettes[(b & 0x80) != 0]
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for _ in range(3):
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pixel = palette[(b >> idx) & 0b11]
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pixels.append(pixel)
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idx += 2
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if not is_odd_offset:
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pixels.append("01"[b & 0x40 != 0])
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idx += 1
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return "".join(pixels)
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class Video:
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"""Apple II screen memory map encoding a bitmapped frame."""
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CLOCK_SPEED = 1024 * 1024
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def __init__(
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self,
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filename: str):
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def __init__(self, filename: str):
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self.filename = filename # type: str
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self._reader = skvideo.io.FFmpegReader(filename)
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@ -276,8 +42,6 @@ class Video:
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self.update_priority = np.zeros((32, 256), dtype=np.int64)
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def tick(self, cycles) -> bool:
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# print(cycles, self.cycles_per_frame, self.cycles_per_frame *
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# self.frame_number)
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if cycles > (self.cycles_per_frame * self.frame_number):
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self.frame_number += 1
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return True
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@ -344,171 +108,16 @@ class Video:
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print("Similarity %f" % (self.update_priority.mean()))
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yield from self._index_changes(self.memory_map, target)
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# def _diff_weights(
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# self,
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# source: screen.MemoryMap,
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# target: screen.MemoryMap
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# ):
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# diff_weights = np.zeros((32, 256), dtype=np.int64)
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#
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# it = np.nditer(
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# source.page_offset ^ target.page_offset, flags=['multi_index'])
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# while not it.finished:
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# # If no diff, don't need to bother
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# if not it[0]:
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# it.iternext()
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# continue
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#
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# diff_weights[it.multi_index] = edit_weight(
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# source.page_offset[it.multi_index],
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# target.page_offset[it.multi_index],
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# it.multi_index[1] % 2 == 1
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# )
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# it.iternext()
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# aew = array_edit_weight(source.page_offset,
|
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# target.page_offset)
|
||||
# if not np.array_equal(
|
||||
# diff_weights, aew
|
||||
# ):
|
||||
# it = np.nditer(
|
||||
# diff_weights - aew, flags=['multi_index'])
|
||||
# while not it.finished:
|
||||
# # If no diff, don't need to bother
|
||||
# if it[0]:
|
||||
# print(
|
||||
# source.page_offset[it.multi_index],
|
||||
# target.page_offset[it.multi_index],
|
||||
# diff_weights[it.multi_index],
|
||||
# aew[it.multi_index], it.multi_index)
|
||||
# it.iternext()
|
||||
# assert False
|
||||
|
||||
# return diff_weights
|
||||
|
||||
@staticmethod
|
||||
def _diff_weights_new(
|
||||
source: screen.MemoryMap,
|
||||
target: screen.MemoryMap
|
||||
):
|
||||
return array_edit_weight(
|
||||
source.page_offset, target.page_offset)
|
||||
|
||||
def _heapify_priorities(self) -> List:
|
||||
priorities = []
|
||||
it = np.nditer(self.update_priority, flags=['multi_index'])
|
||||
while not it.finished:
|
||||
priority = it[0]
|
||||
if not priority:
|
||||
it.iternext()
|
||||
continue
|
||||
|
||||
page, offset = it.multi_index
|
||||
# Don't use deterministic order for page, offset
|
||||
nonce = random.random()
|
||||
heapq.heappush(priorities, (-priority, nonce, page, offset))
|
||||
it.iternext()
|
||||
|
||||
return priorities
|
||||
|
||||
@staticmethod
|
||||
def _compute_delta(content, target, old):
|
||||
return content_edit_weight(content, target) - old
|
||||
|
||||
# XXX 0WKK -> 1KKV (3)
|
||||
# 1VVV -> 1KKV (2) is closer to target but a big
|
||||
# visual difference
|
||||
|
||||
# 0WKK -> 1KKV = 2 transpose + 2 flip = 12, or 3 flip = 15
|
||||
# 1VVV -> 1KKV = 2 flip = 10, delta = -2
|
||||
# @functools.lru_cache(None)
|
||||
# def _compute_delta_old(self, content, target, is_odd, old):
|
||||
# return edit_weight(content, target, is_odd) # - old
|
||||
|
||||
_OFFSETS = np.arange(256)
|
||||
|
||||
def _compute_error(self, page, content, target, old_error, content_deltas):
|
||||
offsets = []
|
||||
|
||||
delta_screen = content_deltas.get(content)
|
||||
if delta_screen is None:
|
||||
delta_screen = self._compute_delta(
|
||||
content, target.page_offset, old_error)
|
||||
content_deltas[content] = delta_screen
|
||||
delta_page = delta_screen[page]
|
||||
|
||||
# old_error_page = old_error[page]
|
||||
# tpo = target.page_offset[page]
|
||||
#
|
||||
# # If we store content at this offset, what is the difference
|
||||
# # between this edit distance and the ideal target edit distance?
|
||||
# delta_page = self._compute_delta(
|
||||
# content, tpo, old_error_page)
|
||||
# # print(delta_page)
|
||||
cond = delta_page < 0
|
||||
|
||||
candidate_offsets = self._OFFSETS[cond]
|
||||
priorities = self.update_priority[page][cond]
|
||||
# deltas = delta_page[cond]
|
||||
|
||||
# assert len(priorities) == len(candidate_offsets) == len(deltas) ==
|
||||
# sum(cond)
|
||||
|
||||
l = [
|
||||
(-priorities[i], random.random(), candidate_offsets[i])
|
||||
for i in range(len(candidate_offsets))
|
||||
]
|
||||
# offsets = [o for _, _, o in heapq.nsmallest(3, l)]
|
||||
heapq.heapify(l)
|
||||
|
||||
while l:
|
||||
_, _, o = heapq.heappop(l)
|
||||
offsets.append(o)
|
||||
if len(offsets) == 3:
|
||||
break
|
||||
#
|
||||
# page_priorities = [(-p, random.random(), o) for o, p in enumerate(
|
||||
# self.update_priority[page]) if p]
|
||||
# heapq.heapify(page_priorities)
|
||||
#
|
||||
# # Iterate in descending priority order and take first 3 offsets with
|
||||
# # negative delta
|
||||
# while page_priorities:
|
||||
# _, _, o = heapq.heappop(page_priorities)
|
||||
#
|
||||
# # If we store content at this offset, what is the difference
|
||||
# # between this edit distance and the ideal target edit distance?
|
||||
# delta = self._compute_delta_old(
|
||||
# content, tpo[o], o % 2 == 1, old_error_page[o])
|
||||
#
|
||||
# # Getting further away from goal, no thanks!
|
||||
# if delta >= 0:
|
||||
# continue
|
||||
# #
|
||||
# # # print("Offset %d prio %d: %d -> %d = %d" % (
|
||||
# # # o, p, content,
|
||||
# # # target.page_offset[page, o],
|
||||
# # # delta
|
||||
# # # ))
|
||||
# offsets.append(o)
|
||||
# if len(offsets) == 3:
|
||||
# break
|
||||
|
||||
return offsets
|
||||
|
||||
def _index_changes(
|
||||
self,
|
||||
source: screen.MemoryMap,
|
||||
target: screen.MemoryMap
|
||||
) -> Iterator[Tuple[int, int, int, int, int]]:
|
||||
"""Transform encoded screen to sequence of change tuples.
|
||||
) -> Iterator[Tuple[int, int, List[int]]]:
|
||||
"""Transform encoded screen to sequence of change tuples."""
|
||||
|
||||
Change tuple is (update_priority, page, offset, content, run_length)
|
||||
"""
|
||||
diff_weights = self._diff_weights(source, target)
|
||||
|
||||
diff_weights = self._diff_weights_new(source, target)
|
||||
|
||||
# Clear any update priority entries that have resolved themselves
|
||||
# Clear any update priority entries that have resolved themselves
|
||||
# with new frame
|
||||
self.update_priority[diff_weights == 0] = 0
|
||||
|
||||
@ -532,8 +141,6 @@ class Video:
|
||||
|
||||
offsets = [offset]
|
||||
content = target.page_offset[page, offset]
|
||||
# print("Priority %d: page %d offset %d content %d" % (
|
||||
# priority, page, offset, content))
|
||||
|
||||
# Clear priority for the offset we're emitting
|
||||
self.update_priority[page, offset] = 0
|
||||
@ -556,11 +163,73 @@ class Video:
|
||||
for _ in range(len(offsets), 4):
|
||||
offsets.append(offsets[0])
|
||||
|
||||
# print("Page %d, content %d: offsets %s" % (page+32, content,
|
||||
# offsets))
|
||||
yield (page + 32, content, offsets)
|
||||
|
||||
# If we run out of things to do, pad forever
|
||||
content = target.page_offset[(0, 0)]
|
||||
while True:
|
||||
yield (32, content, [0, 0, 0, 0])
|
||||
|
||||
@staticmethod
|
||||
def _diff_weights(
|
||||
source: screen.MemoryMap,
|
||||
target: screen.MemoryMap
|
||||
):
|
||||
return edit_distance.array_edit_weight(
|
||||
source.page_offset, target.page_offset)
|
||||
|
||||
def _heapify_priorities(self) -> List:
|
||||
priorities = []
|
||||
it = np.nditer(self.update_priority, flags=['multi_index'])
|
||||
while not it.finished:
|
||||
priority = it[0]
|
||||
if not priority:
|
||||
it.iternext()
|
||||
continue
|
||||
|
||||
page, offset = it.multi_index
|
||||
|
||||
# Don't use deterministic order for page, offset
|
||||
nonce = random.random()
|
||||
priorities.append((-priority, nonce, page, offset))
|
||||
it.iternext()
|
||||
|
||||
heapq.heapify(priorities)
|
||||
return priorities
|
||||
|
||||
@staticmethod
|
||||
def _compute_delta(content, target, old):
|
||||
"""
|
||||
This function is the critical path for the video encoding.
|
||||
"""
|
||||
return edit_distance.content_edit_weight(content, target) - old
|
||||
|
||||
_OFFSETS = np.arange(256)
|
||||
|
||||
def _compute_error(self, page, content, target, old_error, content_deltas):
|
||||
offsets = []
|
||||
|
||||
delta_screen = content_deltas.get(content)
|
||||
if delta_screen is None:
|
||||
delta_screen = self._compute_delta(
|
||||
content, target.page_offset, old_error)
|
||||
content_deltas[content] = delta_screen
|
||||
|
||||
delta_page = delta_screen[page]
|
||||
cond = delta_page < 0
|
||||
candidate_offsets = self._OFFSETS[cond]
|
||||
priorities = self.update_priority[page][cond]
|
||||
|
||||
l = [
|
||||
(-priorities[i], random.random(), candidate_offsets[i])
|
||||
for i in range(len(candidate_offsets))
|
||||
]
|
||||
heapq.heapify(l)
|
||||
|
||||
while l:
|
||||
_, _, o = heapq.heappop(l)
|
||||
offsets.append(o)
|
||||
if len(offsets) == 3:
|
||||
break
|
||||
|
||||
return offsets
|
||||
|
Loading…
x
Reference in New Issue
Block a user