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91b2e171 BV |
1 | ## |
2 | ## This file is part of the sigrok project. | |
3 | ## | |
4 | ## Copyright (C) 2012 Bert Vermeulen <bert@biot.com> | |
5 | ## | |
6 | ## This program is free software; you can redistribute it and/or modify | |
7 | ## it under the terms of the GNU General Public License as published by | |
8 | ## the Free Software Foundation; either version 3 of the License, or | |
9 | ## (at your option) any later version. | |
10 | ## | |
11 | ## This program is distributed in the hope that it will be useful, | |
12 | ## but WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 | ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
14 | ## GNU General Public License for more details. | |
15 | ## | |
16 | ## You should have received a copy of the GNU General Public License | |
17 | ## along with this program; if not, see <http://www.gnu.org/licenses/>. | |
18 | ## | |
19 | ||
156509ca UH |
20 | # EDID protocol decoder |
21 | ||
91b2e171 BV |
22 | # TODO: |
23 | # - EDID < 1.3 | |
1063646c | 24 | # - add short annotations |
91b2e171 BV |
25 | # - Signal level standard field in basic display parameters block |
26 | # - Additional color point descriptors | |
27 | # - Additional standard timing descriptors | |
28 | # - Extensions | |
29 | ||
30 | import sigrokdecode as srd | |
31 | import os | |
32 | ||
1063646c | 33 | |
91b2e171 BV |
34 | EDID_HEADER = [0x00, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x00] |
35 | OFF_VENDOR = 8 | |
36 | OFF_VERSION = 18 | |
37 | OFF_BASIC = 20 | |
38 | OFF_CHROM = 25 | |
39 | OFF_EST_TIMING = 35 | |
40 | OFF_STD_TIMING = 38 | |
41 | OFF_DET_TIMING = 54 | |
42 | OFF_NUM_EXT = 126 | |
43 | OFF_CHECKSUM = 127 | |
44 | ||
91b2e171 BV |
45 | # Pre-EDID established timing modes |
46 | est_modes = [ | |
47 | "720x400@70Hz", | |
48 | "720x400@88Hz", | |
49 | "640x480@60Hz", | |
50 | "640x480@67Hz", | |
51 | "640x480@72Hz", | |
52 | "640x480@75Hz", | |
53 | "800x600@56Hz", | |
54 | "800x600@60Hz", | |
55 | "800x600@72Hz", | |
56 | "800x600@75Hz", | |
57 | "832x624@75Hz", | |
58 | "1024x768@87Hz(i)", | |
59 | "1024x768@60Hz", | |
60 | "1024x768@70Hz", | |
61 | "1024x768@75Hz", | |
62 | "1280x1024@75Hz", | |
63 | "1152x870@75Hz" | |
64 | ] | |
65 | ||
66 | # X:Y display aspect ratios, as used in standard timing modes | |
67 | xy_ratio = [ | |
68 | (16, 10), | |
69 | (4, 3), | |
70 | (5, 4), | |
71 | (16, 9) | |
72 | ] | |
73 | ||
74 | # Annotation types | |
75 | ANN_FIELDS = 0 | |
76 | ANN_SECTIONS = 1 | |
77 | ||
1063646c | 78 | |
91b2e171 BV |
79 | class Decoder(srd.Decoder): |
80 | api_version = 1 | |
81 | id = 'edid' | |
82 | name = 'EDID' | |
83 | longname = 'Extended display identification data' | |
84 | desc = 'A data structure describing the capabilities of a display device.' | |
85 | license = 'gplv3+' | |
86 | inputs = ['ddc2'] | |
87 | outputs = ['edid'] | |
88 | options = {} | |
89 | annotations = [ | |
90 | ['EDID fields', 'EDID structure fields'], | |
91 | ['EDID sections', 'EDID structure sections'], | |
92 | ] | |
93 | ||
94 | def __init__(self, **kwargs): | |
95 | self.state = None | |
96 | # Received data items, used as an index into samplenum/data | |
97 | self.cnt = 0 | |
98 | # Start/end sample numbers per data item | |
99 | self.sn = [] | |
100 | # Received data | |
101 | self.cache = [] | |
102 | ||
103 | def start(self, metadata): | |
104 | self.out_ann = self.add(srd.OUTPUT_ANN, 'edid') | |
105 | ||
106 | def decode(self, ss, es, data): | |
107 | if type(data) != int: | |
108 | raise Exception('malformed ddc2 input: expected 1 byte') | |
109 | self.cnt += 1 | |
110 | self.sn.append( [ss, es] ) | |
111 | self.cache.append(data) | |
2a706c20 BV |
112 | # debug |
113 | # self.put(ss, es, self.out_ann, [0, ["%d: [%.2x]" % (self.cnt, data)]]) | |
91b2e171 BV |
114 | |
115 | if self.state is None: | |
116 | # Wait for the EDID header | |
117 | if self.cnt >= OFF_VENDOR: | |
118 | if self.cache[-8:] == EDID_HEADER: | |
119 | # Throw away any garbage before the header | |
120 | self.sn = self.sn[-8:] | |
121 | self.cache = self.cache[-8:] | |
2a706c20 | 122 | self.cnt = 8 |
91b2e171 BV |
123 | self.state = 'edid' |
124 | self.put(ss, es, self.out_ann, [0, ["EDID header"]]) | |
125 | elif self.state == 'edid': | |
126 | if self.cnt == OFF_VERSION: | |
127 | self.decode_vid(-10) | |
128 | self.decode_pid(-8) | |
129 | self.decode_serial(-6) | |
130 | self.decode_mfrdate(-2) | |
131 | elif self.cnt == OFF_BASIC: | |
132 | version = "EDID version: %d.%d" % (self.cache[-2], self.cache[-1]) | |
133 | self.put(ss, es, self.out_ann, [0, [version]]) | |
134 | elif self.cnt == OFF_CHROM: | |
135 | self.decode_basicdisplay(-5) | |
136 | elif self.cnt == OFF_EST_TIMING: | |
137 | self.decode_chromaticity(-10) | |
138 | elif self.cnt == OFF_STD_TIMING: | |
139 | self.decode_est_timing(-3) | |
140 | elif self.cnt == OFF_DET_TIMING: | |
141 | self.decode_std_timing(-16) | |
142 | elif self.cnt == OFF_NUM_EXT: | |
143 | self.decode_descriptors(-72) | |
144 | elif self.cnt == OFF_CHECKSUM: | |
145 | self.put(ss, es, self.out_ann, [0, ["Extensions present: %d" % self.cache[self.cnt-1]]]) | |
146 | elif self.cnt == OFF_CHECKSUM+1: | |
147 | checksum = 0 | |
148 | for i in range(128): | |
149 | checksum += self.cache[i] | |
150 | if checksum % 256 == 0: | |
151 | csstr = "OK" | |
152 | else: | |
153 | csstr = "WRONG!" | |
154 | self.put(ss, es, self.out_ann, [0, ["Checksum: %d (%s)" % ( | |
155 | self.cache[self.cnt-1], csstr)]]) | |
156 | self.state = 'extensions' | |
157 | elif self.state == 'extensions': | |
158 | pass | |
159 | ||
160 | def ann_field(self, start, end, annotation): | |
161 | self.put(self.sn[start][0], self.sn[end][1], self.out_ann, [ANN_FIELDS, [annotation]]) | |
162 | ||
163 | def lookup_pnpid(self, pnpid): | |
1063646c | 164 | pnpid_file = os.path.join(os.path.dirname(__file__), 'pnpids.txt') |
91b2e171 BV |
165 | if os.path.exists(pnpid_file): |
166 | for line in open(pnpid_file).readlines(): | |
167 | if line.find(pnpid + ';') == 0: | |
168 | return line[4:].strip() | |
169 | return '' | |
170 | ||
171 | def decode_vid(self, offset): | |
172 | pnpid = chr(64 + ((self.cache[offset] & 0x7c) >> 2)) | |
173 | pnpid += chr(64 + (((self.cache[offset] & 0x03) << 3) | |
174 | | ((self.cache[offset+1] & 0xe0) >> 5))) | |
175 | pnpid += chr(64 + (self.cache[offset+1] & 0x1f)) | |
176 | vendor = self.lookup_pnpid(pnpid) | |
177 | if vendor: | |
178 | pnpid += " (%s)" % vendor | |
179 | self.ann_field(offset, offset+1, pnpid) | |
180 | ||
181 | def decode_pid(self, offset): | |
182 | pidstr = "Product 0x%.2x%.2x" % (self.cache[offset+1], self.cache[offset]) | |
183 | self.ann_field(offset, offset+1, pidstr) | |
184 | ||
185 | def decode_serial(self, offset): | |
186 | serialnum = (self.cache[offset+3] << 24) \ | |
187 | + (self.cache[offset+2] << 16) \ | |
188 | + (self.cache[offset+1] << 8) \ | |
189 | + self.cache[offset] | |
190 | serialstr = '' | |
191 | is_alnum = True | |
192 | for i in range(4): | |
193 | if not chr(self.cache[offset+3-i]).isalnum(): | |
194 | is_alnum = False | |
195 | break | |
196 | serialstr += chr(self.cache[offset+3-i]) | |
197 | if is_alnum: | |
198 | serial = serialstr | |
199 | else: | |
200 | serial = str(serialnum) | |
201 | self.ann_field(offset, offset+3, "Serial " + serial) | |
202 | ||
203 | def decode_mfrdate(self, offset): | |
204 | datestr = '' | |
205 | if self.cache[offset]: | |
206 | datestr += "week %d, " % self.cache[offset] | |
207 | datestr += str(1990 + self.cache[offset+1]) | |
208 | if datestr: | |
209 | self.ann_field(offset, offset+1, "Manufactured " + datestr) | |
210 | ||
211 | def decode_basicdisplay(self, offset): | |
212 | # Video input definition | |
213 | vid = self.cache[offset] | |
214 | if vid & 0x80: | |
215 | # Digital | |
216 | self.ann_field(offset, offset, "Video input: VESA DFP 1.") | |
217 | else: | |
218 | # Analog | |
219 | sls = (vid & 60) >> 5 | |
220 | self.ann_field(offset, offset, "Signal level standard: %.2x" % sls) | |
221 | if vid & 0x10: | |
222 | self.ann_field(offset, offset, "Blank-to-black setup expected") | |
223 | syncs = '' | |
224 | if vid & 0x08: | |
225 | syncs += 'separate syncs, ' | |
226 | if vid & 0x04: | |
227 | syncs += 'composite syncs, ' | |
228 | if vid & 0x02: | |
229 | syncs += 'sync on green, ' | |
230 | if vid & 0x01: | |
231 | syncs += 'Vsync serration required, ' | |
232 | if syncs: | |
233 | self.ann_field(offset, offset, "Supported syncs: %s" % syncs[:-2]) | |
234 | # Max horizontal/vertical image size | |
235 | if self.cache[offset+1] != 0 and self.cache[offset+2] != 0: | |
236 | # Projectors have this set to 0 | |
237 | sizestr = "%dx%dcm" % (self.cache[offset+1], self.cache[offset+2]) | |
238 | self.ann_field(offset+1, offset+2, "Physical size: " + sizestr) | |
239 | # Display transfer characteristic (gamma) | |
240 | if self.cache[offset+3] != 0xff: | |
241 | gamma = (self.cache[offset+3] + 100) / 100 | |
242 | self.ann_field(offset+3, offset+3, "Gamma: %1.2f" % gamma) | |
243 | # Feature support | |
244 | fs = self.cache[offset+4] | |
245 | dpms = '' | |
246 | if fs & 0x80: | |
247 | dpms += 'standby, ' | |
248 | if fs & 0x40: | |
249 | dpms += 'suspend, ' | |
250 | if fs & 0x20: | |
251 | dpms += 'active off, ' | |
252 | if dpms: | |
253 | self.ann_field(offset+4, offset+4, "DPMS support: %s" % dpms[:-2]) | |
254 | dt = (fs & 0x18) >> 3 | |
255 | dtstr = '' | |
256 | if dt == 0: | |
257 | dtstr = 'Monochrome' | |
258 | elif dt == 1: | |
259 | dtstr = 'RGB color' | |
260 | elif dt == 2: | |
261 | dtstr = 'non-RGB multicolor' | |
262 | if dtstr: | |
263 | self.ann_field(offset+4, offset+4, "Display type: %s" % dtstr) | |
264 | if fs & 0x04: | |
265 | self.ann_field(offset+4, offset+4, "Color space: standard sRGB") | |
266 | # Save this for when we decode the first detailed timing descriptor | |
267 | self.have_preferred_timing = (fs & 0x02) == 0x02 | |
268 | if fs & 0x01: | |
269 | gft = '' | |
270 | else: | |
271 | gft = 'not ' | |
272 | self.ann_field(offset+4, offset+4, "Generalized timing formula: %ssupported" % gft) | |
273 | ||
274 | def convert_color(self, value): | |
275 | # Convert from 10-bit packet format to float | |
276 | outval = 0.0 | |
277 | for i in range(10): | |
278 | if value & 0x01: | |
279 | outval += 2 ** -(10-i) | |
280 | value >>= 1 | |
281 | return outval | |
282 | ||
283 | def decode_chromaticity(self, offset): | |
284 | redx = (self.cache[offset+2] << 2) + ((self.cache[offset] & 0xc0) >> 6) | |
285 | redy = (self.cache[offset+3] << 2) + ((self.cache[offset] & 0x30) >> 4) | |
286 | self.ann_field(offset, offset+9, "Chromacity red: X %1.3f, Y %1.3f" % ( | |
287 | self.convert_color(redx), self.convert_color(redy))) | |
288 | ||
289 | greenx = (self.cache[offset+4] << 2) + ((self.cache[offset] & 0x0c) >> 6) | |
290 | greeny = (self.cache[offset+5] << 2) + ((self.cache[offset] & 0x03) >> 4) | |
291 | self.ann_field(offset, offset+9, "Chromacity green: X %1.3f, Y %1.3f" % ( | |
292 | self.convert_color(greenx), self.convert_color(greeny))) | |
293 | ||
294 | bluex = (self.cache[offset+6] << 2) + ((self.cache[offset+1] & 0xc0) >> 6) | |
295 | bluey = (self.cache[offset+7] << 2) + ((self.cache[offset+1] & 0x30) >> 4) | |
296 | self.ann_field(offset, offset+9, "Chromacity blue: X %1.3f, Y %1.3f" % ( | |
297 | self.convert_color(bluex), self.convert_color(bluey))) | |
298 | ||
299 | whitex = (self.cache[offset+8] << 2) + ((self.cache[offset+1] & 0x0c) >> 6) | |
300 | whitey = (self.cache[offset+9] << 2) + ((self.cache[offset+1] & 0x03) >> 4) | |
301 | self.ann_field(offset, offset+9, "Chromacity white: X %1.3f, Y %1.3f" % ( | |
302 | self.convert_color(whitex), self.convert_color(whitey))) | |
303 | ||
304 | def decode_est_timing(self, offset): | |
305 | # Pre-EDID modes | |
306 | bitmap = (self.cache[offset] << 9) \ | |
307 | + (self.cache[offset+1] << 1) \ | |
308 | + ((self.cache[offset+2] & 0x80) >> 7) | |
309 | modestr = '' | |
310 | for i in range(17): | |
311 | if bitmap & (1 << (16-i)): | |
312 | modestr += est_modes[i] + ', ' | |
313 | if modestr: | |
314 | self.ann_field(offset, offset+2, "Supported establised modes: %s" % modestr[:-2]) | |
315 | ||
316 | def decode_std_timing(self, offset): | |
317 | modestr = '' | |
318 | for i in range(0, 16, 2): | |
319 | if self.cache[offset+i] == 0x01 and self.cache[offset+i+1] == 0x01: | |
320 | # Unused field | |
321 | continue | |
322 | x = (self.cache[offset+i] + 31) * 8 | |
323 | ratio = (self.cache[offset+i+1] & 0xc0) >> 6 | |
324 | ratio_x, ratio_y = xy_ratio[ratio] | |
325 | y = x / ratio_x * ratio_y | |
326 | refresh = (self.cache[offset+i+1] & 0x3f) + 60 | |
327 | modestr += "%dx%d@%dHz, " % (x, y, refresh) | |
328 | if modestr: | |
329 | self.ann_field(offset, offset+2, "Supported standard modes: %s" % modestr[:-2]) | |
330 | ||
331 | def decode_detailed_timing(self, offset): | |
332 | if offset == -72 and self.have_preferred_timing: | |
333 | # Only on first detailed timing descriptor | |
334 | section = 'Preferred' | |
335 | else: | |
336 | section = 'Detailed' | |
337 | section += ' timing descriptor' | |
338 | self.put(self.sn[offset][0], self.sn[offset+18][1], | |
339 | self.out_ann, [ANN_SECTIONS, [section]]) | |
340 | ||
341 | pixclock = float((self.cache[offset+1] << 8) + self.cache[offset]) / 100 | |
342 | self.ann_field(offset, offset+1, "Pixel clock: %.2f MHz" % pixclock) | |
343 | ||
344 | horiz_active = ((self.cache[offset+4] & 0xf0) << 4) + self.cache[offset+2] | |
345 | self.ann_field(offset+2, offset+4, "Horizontal active: %d" % horiz_active) | |
346 | ||
347 | horiz_blank = ((self.cache[offset+4] & 0x0f) << 8) + self.cache[offset+3] | |
348 | self.ann_field(offset+3, offset+4, "Horizontal blanking: %d" % horiz_blank) | |
349 | ||
350 | vert_active = ((self.cache[offset+7] & 0xf0) << 4) + self.cache[offset+5] | |
351 | self.ann_field(offset+5, offset+7, "Vertical active: %d" % vert_active) | |
352 | ||
353 | vert_blank = ((self.cache[offset+7] & 0x0f) << 8) + self.cache[offset+6] | |
354 | self.ann_field(offset+6, offset+7, "Vertical blanking: %d" % vert_blank) | |
355 | ||
356 | horiz_sync_off = ((self.cache[offset+11] & 0xc0) << 2) + self.cache[offset+8] | |
357 | self.ann_field(offset+8, offset+11, "Horizontal sync offset: %d" % horiz_sync_off) | |
358 | ||
359 | horiz_sync_pw = ((self.cache[offset+11] & 0x30) << 4) + self.cache[offset+9] | |
360 | self.ann_field(offset+9, offset+11, "Horizontal sync pulse width: %d" % horiz_sync_pw) | |
361 | ||
362 | vert_sync_off = ((self.cache[offset+11] & 0x0c) << 2) \ | |
363 | + ((self.cache[offset+10] & 0xf0) >> 4) | |
364 | self.ann_field(offset+10, offset+11, "Vertical sync offset: %d" % vert_sync_off) | |
365 | ||
366 | vert_sync_pw = ((self.cache[offset+11] & 0x03) << 4) \ | |
367 | + (self.cache[offset+10] & 0x0f) | |
368 | self.ann_field(offset+10, offset+11, "Vertical sync pulse width: %d" % vert_sync_pw) | |
369 | ||
370 | horiz_size = ((self.cache[offset+14] & 0xf0) << 4) + self.cache[offset+12] | |
371 | vert_size = ((self.cache[offset+14] & 0x0f) << 8) + self.cache[offset+13] | |
372 | self.ann_field(offset+12, offset+14, "Physical size: %dx%dmm" % (horiz_size, vert_size)) | |
373 | ||
374 | horiz_border = self.cache[offset+15] | |
375 | if horiz_border: | |
376 | self.ann_field(offset+15, offset+15, "Horizontal border: %d pixels" % horiz_border) | |
377 | vert_border = self.cache[offset+16] | |
378 | if vert_border: | |
379 | self.ann_field(offset+16, offset+16, "Vertical border: %d lines" % vert_border) | |
380 | ||
381 | features = 'Flags: ' | |
382 | if self.cache[offset+17] & 0x80: | |
383 | features += 'interlaced, ' | |
384 | stereo = (self.cache[offset+17] & 0x60) >> 5 | |
385 | if stereo: | |
386 | if self.cache[offset+17] & 0x01: | |
387 | features += '2-way interleaved stereo (' | |
388 | features += ['right image on even lines', 'left image on even lines', | |
389 | 'side-by-side'][stereo-1] | |
390 | features += '), ' | |
391 | else: | |
392 | features += 'field sequential stereo (' | |
393 | features += ['right image on sync=1', 'left image on sync=1', | |
394 | '4-way interleaved'][stereo-1] | |
395 | features += '), ' | |
396 | sync = (self.cache[offset+17] & 0x18) >> 3 | |
397 | sync2 = (self.cache[offset+17] & 0x06) >> 1 | |
398 | posneg = ['negative', 'positive'] | |
399 | features += 'sync type ' | |
400 | if sync == 0x00: | |
401 | features += 'analog composite (serrate on RGB)' | |
402 | elif sync == 0x01: | |
403 | features += 'bipolar analog composite (serrate on RGB)' | |
404 | elif sync == 0x02: | |
405 | features += 'digital composite (serrate on composite polarity ' \ | |
406 | + (posneg[sync2 & 0x01]) + ')' | |
407 | elif sync == 0x03: | |
408 | features += 'digital separate (' | |
2a706c20 | 409 | features += 'Vsync polarity ' + (posneg[(sync2 & 0x02) >> 1]) |
91b2e171 BV |
410 | features += ', Hsync polarity ' + (posneg[sync2 & 0x01]) |
411 | features += ')' | |
412 | features += ', ' | |
413 | self.ann_field(offset+17, offset+17, features[:-2]) | |
414 | ||
415 | def decode_descriptor(self, offset): | |
416 | tag = self.cache[offset+3] | |
417 | if tag == 0xff: | |
418 | # Monitor serial number | |
419 | text = bytes(self.cache[offset+5:][:13]).decode(encoding='cp437', errors='replace') | |
420 | self.ann_field(offset, offset+17, "Serial number: %s" % text.strip()) | |
421 | elif tag == 0xfe: | |
422 | # Text | |
423 | text = bytes(self.cache[offset+5:][:13]).decode(encoding='cp437', errors='replace') | |
424 | self.ann_field(offset, offset+17, "Info: %s" % text.strip()) | |
425 | elif tag == 0xfc: | |
426 | # Monitor name | |
427 | text = bytes(self.cache[offset+5:][:13]).decode(encoding='cp437', errors='replace') | |
428 | self.ann_field(offset, offset+17, "Model name: %s" % text.strip()) | |
429 | elif tag == 0xfd: | |
430 | # Monitor range limits | |
431 | self.put(self.sn[offset][0], self.sn[offset+17][1], self.out_ann, | |
432 | [ANN_SECTIONS, ["Monitor range limits"]]) | |
433 | self.ann_field(offset+5, offset+5, "Minimum vertical rate: %dHz" % | |
434 | self.cache[offset+5]) | |
435 | self.ann_field(offset+6, offset+6, "Maximum vertical rate: %dHz" % | |
436 | self.cache[offset+6]) | |
437 | self.ann_field(offset+7, offset+7, "Minimum horizontal rate: %dkHz" % | |
438 | self.cache[offset+7]) | |
439 | self.ann_field(offset+8, offset+8, "Maximum horizontal rate: %dkHz" % | |
440 | self.cache[offset+8]) | |
441 | self.ann_field(offset+9, offset+9, "Maximum pixel clock: %dMHz" % | |
442 | (self.cache[offset+9] * 10)) | |
443 | if self.cache[offset+10] == 0x02: | |
444 | # Secondary GTF curve supported | |
445 | self.ann_field(offset+10, offset+17, "Secondary timing formula supported") | |
446 | elif tag == 0xfb: | |
447 | # Additional color point data | |
448 | self.put(self.sn[offset][0], self.sn[offset+17][1], self.out_ann, | |
449 | [ANN_SECTIONS, ["Additional color point data"]]) | |
450 | elif tag == 0xfa: | |
451 | # Additional standard timing definitions | |
452 | self.put(self.sn[offset][0], self.sn[offset+17][1], self.out_ann, | |
453 | [ANN_SECTIONS, ["Additional standard timing definitions"]]) | |
454 | else: | |
455 | self.put(self.sn[offset][0], self.sn[offset+17][1], self.out_ann, | |
456 | [ANN_SECTIONS, ["Unknown descriptor"]]) | |
457 | ||
458 | def decode_descriptors(self, offset): | |
459 | # 4 consecutive 18-byte descriptor blocks | |
460 | for i in range(offset, 0, 18): | |
461 | if self.cache[i] != 0 and self.cache[i+1] != 0: | |
462 | self.decode_detailed_timing(i) | |
463 | else: | |
1063646c | 464 | if self.cache[i+2] == 0 or self.cache[i+4] == 0: |
91b2e171 BV |
465 | self.decode_descriptor(i) |
466 | ||
467 | ||
468 | ||
469 |