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1 /*
2  * SpanDSP - a series of DSP components for telephony
3  *
4  * g711.h - In line A-law and u-law conversion routines
5  *
6  * Written by Steve Underwood <steveu@coppice.org>
7  *
8  * Copyright (C) 2001 Steve Underwood
9  *
10  *  Despite my general liking of the GPL, I place this code in the
11  *  public domain for the benefit of all mankind - even the slimy
12  *  ones who might try to proprietize my work and use it to my
13  *  detriment.
14  *
15  * $Id: g711.h,v 1.1 2006/06/07 15:46:39 steveu Exp $
16  *
17  * Modifications for WebRtc, 2011/04/28, by tlegrand:
18  * -Changed to use WebRtc types
19  * -Changed __inline__ to __inline
20  * -Two changes to make implementation bitexact with ITU-T reference implementation
21  */
22 
23 /*! \page g711_page A-law and mu-law handling
24 Lookup tables for A-law and u-law look attractive, until you consider the impact
25 on the CPU cache. If it causes a substantial area of your processor cache to get
26 hit too often, cache sloshing will severely slow things down. The main reason
27 these routines are slow in C, is the lack of direct access to the CPU's "find
28 the first 1" instruction. A little in-line assembler fixes that, and the
29 conversion routines can be faster than lookup tables, in most real world usage.
30 A "find the first 1" instruction is available on most modern CPUs, and is a
31 much underused feature.
32 
33 If an assembly language method of bit searching is not available, these routines
34 revert to a method that can be a little slow, so the cache thrashing might not
35 seem so bad :(
36 
37 Feel free to submit patches to add fast "find the first 1" support for your own
38 favourite processor.
39 
40 Look up tables are used for transcoding between A-law and u-law, since it is
41 difficult to achieve the precise transcoding procedure laid down in the G.711
42 specification by other means.
43 */
44 
45 #if !defined(_G711_H_)
46 #define _G711_H_
47 
48 #ifdef __cplusplus
49 extern "C" {
50 #endif
51 
52 #include "webrtc/typedefs.h"
53 
54 #if defined(__i386__)
55 /*! \brief Find the bit position of the highest set bit in a word
56     \param bits The word to be searched
57     \return The bit number of the highest set bit, or -1 if the word is zero. */
top_bit(unsigned int bits)58 static __inline__ int top_bit(unsigned int bits) {
59   int res;
60 
61   __asm__ __volatile__(" movl $-1,%%edx;\n"
62                        " bsrl %%eax,%%edx;\n"
63                        : "=d" (res)
64                        : "a" (bits));
65   return res;
66 }
67 
68 /*! \brief Find the bit position of the lowest set bit in a word
69     \param bits The word to be searched
70     \return The bit number of the lowest set bit, or -1 if the word is zero. */
bottom_bit(unsigned int bits)71 static __inline__ int bottom_bit(unsigned int bits) {
72   int res;
73 
74   __asm__ __volatile__(" movl $-1,%%edx;\n"
75                        " bsfl %%eax,%%edx;\n"
76                        : "=d" (res)
77                        : "a" (bits));
78   return res;
79 }
80 #elif defined(__x86_64__)
81 static __inline__ int top_bit(unsigned int bits) {
82   int res;
83 
84   __asm__ __volatile__(" movq $-1,%%rdx;\n"
85                        " bsrq %%rax,%%rdx;\n"
86                        : "=d" (res)
87                        : "a" (bits));
88   return res;
89 }
90 
91 static __inline__ int bottom_bit(unsigned int bits) {
92   int res;
93 
94   __asm__ __volatile__(" movq $-1,%%rdx;\n"
95                        " bsfq %%rax,%%rdx;\n"
96                        : "=d" (res)
97                        : "a" (bits));
98   return res;
99 }
100 #else
101 static __inline int top_bit(unsigned int bits) {
102   int i;
103 
104   if (bits == 0) {
105     return -1;
106   }
107   i = 0;
108   if (bits & 0xFFFF0000) {
109     bits &= 0xFFFF0000;
110     i += 16;
111   }
112   if (bits & 0xFF00FF00) {
113     bits &= 0xFF00FF00;
114     i += 8;
115   }
116   if (bits & 0xF0F0F0F0) {
117     bits &= 0xF0F0F0F0;
118     i += 4;
119   }
120   if (bits & 0xCCCCCCCC) {
121     bits &= 0xCCCCCCCC;
122     i += 2;
123   }
124   if (bits & 0xAAAAAAAA) {
125     bits &= 0xAAAAAAAA;
126     i += 1;
127   }
128   return i;
129 }
130 
131 static __inline int bottom_bit(unsigned int bits) {
132   int i;
133 
134   if (bits == 0) {
135     return -1;
136   }
137   i = 32;
138   if (bits & 0x0000FFFF) {
139     bits &= 0x0000FFFF;
140     i -= 16;
141   }
142   if (bits & 0x00FF00FF) {
143     bits &= 0x00FF00FF;
144     i -= 8;
145   }
146   if (bits & 0x0F0F0F0F) {
147     bits &= 0x0F0F0F0F;
148     i -= 4;
149   }
150   if (bits & 0x33333333) {
151     bits &= 0x33333333;
152     i -= 2;
153   }
154   if (bits & 0x55555555) {
155     bits &= 0x55555555;
156     i -= 1;
157   }
158   return i;
159 }
160 #endif
161 
162 /* N.B. It is tempting to use look-up tables for A-law and u-law conversion.
163  *      However, you should consider the cache footprint.
164  *
165  *      A 64K byte table for linear to x-law and a 512 byte table for x-law to
166  *      linear sound like peanuts these days, and shouldn't an array lookup be
167  *      real fast? No! When the cache sloshes as badly as this one will, a tight
168  *      calculation may be better. The messiest part is normally finding the
169  *      segment, but a little inline assembly can fix that on an i386, x86_64 and
170  *      many other modern processors.
171  */
172 
173 /*
174  * Mu-law is basically as follows:
175  *
176  *      Biased Linear Input Code        Compressed Code
177  *      ------------------------        ---------------
178  *      00000001wxyza                   000wxyz
179  *      0000001wxyzab                   001wxyz
180  *      000001wxyzabc                   010wxyz
181  *      00001wxyzabcd                   011wxyz
182  *      0001wxyzabcde                   100wxyz
183  *      001wxyzabcdef                   101wxyz
184  *      01wxyzabcdefg                   110wxyz
185  *      1wxyzabcdefgh                   111wxyz
186  *
187  * Each biased linear code has a leading 1 which identifies the segment
188  * number. The value of the segment number is equal to 7 minus the number
189  * of leading 0's. The quantization interval is directly available as the
190  * four bits wxyz.  * The trailing bits (a - h) are ignored.
191  *
192  * Ordinarily the complement of the resulting code word is used for
193  * transmission, and so the code word is complemented before it is returned.
194  *
195  * For further information see John C. Bellamy's Digital Telephony, 1982,
196  * John Wiley & Sons, pps 98-111 and 472-476.
197  */
198 
199 //#define ULAW_ZEROTRAP                 /* turn on the trap as per the MIL-STD */
200 #define ULAW_BIAS 0x84  /* Bias for linear code. */
201 
202 /*! \brief Encode a linear sample to u-law
203     \param linear The sample to encode.
204     \return The u-law value.
205 */
linear_to_ulaw(int linear)206 static __inline uint8_t linear_to_ulaw(int linear) {
207   uint8_t u_val;
208   int mask;
209   int seg;
210 
211   /* Get the sign and the magnitude of the value. */
212   if (linear < 0) {
213     /* WebRtc, tlegrand: -1 added to get bitexact to reference implementation */
214     linear = ULAW_BIAS - linear - 1;
215     mask = 0x7F;
216   } else {
217     linear = ULAW_BIAS + linear;
218     mask = 0xFF;
219   }
220 
221   seg = top_bit(linear | 0xFF) - 7;
222 
223   /*
224    * Combine the sign, segment, quantization bits,
225    * and complement the code word.
226    */
227   if (seg >= 8)
228     u_val = (uint8_t)(0x7F ^ mask);
229   else
230     u_val = (uint8_t)(((seg << 4) | ((linear >> (seg + 3)) & 0xF)) ^ mask);
231 #ifdef ULAW_ZEROTRAP
232   /* Optional ITU trap */
233   if (u_val == 0)
234     u_val = 0x02;
235 #endif
236   return u_val;
237 }
238 
239 /*! \brief Decode an u-law sample to a linear value.
240     \param ulaw The u-law sample to decode.
241     \return The linear value.
242 */
ulaw_to_linear(uint8_t ulaw)243 static __inline int16_t ulaw_to_linear(uint8_t ulaw) {
244   int t;
245 
246   /* Complement to obtain normal u-law value. */
247   ulaw = ~ulaw;
248   /*
249    * Extract and bias the quantization bits. Then
250    * shift up by the segment number and subtract out the bias.
251    */
252   t = (((ulaw & 0x0F) << 3) + ULAW_BIAS) << (((int) ulaw & 0x70) >> 4);
253   return (int16_t)((ulaw & 0x80) ? (ULAW_BIAS - t) : (t - ULAW_BIAS));
254 }
255 
256 /*
257  * A-law is basically as follows:
258  *
259  *      Linear Input Code        Compressed Code
260  *      -----------------        ---------------
261  *      0000000wxyza             000wxyz
262  *      0000001wxyza             001wxyz
263  *      000001wxyzab             010wxyz
264  *      00001wxyzabc             011wxyz
265  *      0001wxyzabcd             100wxyz
266  *      001wxyzabcde             101wxyz
267  *      01wxyzabcdef             110wxyz
268  *      1wxyzabcdefg             111wxyz
269  *
270  * For further information see John C. Bellamy's Digital Telephony, 1982,
271  * John Wiley & Sons, pps 98-111 and 472-476.
272  */
273 
274 #define ALAW_AMI_MASK 0x55
275 
276 /*! \brief Encode a linear sample to A-law
277     \param linear The sample to encode.
278     \return The A-law value.
279 */
linear_to_alaw(int linear)280 static __inline uint8_t linear_to_alaw(int linear) {
281   int mask;
282   int seg;
283 
284   if (linear >= 0) {
285     /* Sign (bit 7) bit = 1 */
286     mask = ALAW_AMI_MASK | 0x80;
287   } else {
288     /* Sign (bit 7) bit = 0 */
289     mask = ALAW_AMI_MASK;
290     /* WebRtc, tlegrand: Changed from -8 to -1 to get bitexact to reference
291      * implementation */
292     linear = -linear - 1;
293   }
294 
295   /* Convert the scaled magnitude to segment number. */
296   seg = top_bit(linear | 0xFF) - 7;
297   if (seg >= 8) {
298     if (linear >= 0) {
299       /* Out of range. Return maximum value. */
300       return (uint8_t)(0x7F ^ mask);
301     }
302     /* We must be just a tiny step below zero */
303     return (uint8_t)(0x00 ^ mask);
304   }
305   /* Combine the sign, segment, and quantization bits. */
306   return (uint8_t)(((seg << 4) | ((linear >> ((seg) ? (seg + 3) : 4)) & 0x0F)) ^
307                    mask);
308 }
309 
310 /*! \brief Decode an A-law sample to a linear value.
311     \param alaw The A-law sample to decode.
312     \return The linear value.
313 */
alaw_to_linear(uint8_t alaw)314 static __inline int16_t alaw_to_linear(uint8_t alaw) {
315   int i;
316   int seg;
317 
318   alaw ^= ALAW_AMI_MASK;
319   i = ((alaw & 0x0F) << 4);
320   seg = (((int) alaw & 0x70) >> 4);
321   if (seg)
322     i = (i + 0x108) << (seg - 1);
323   else
324     i += 8;
325   return (int16_t)((alaw & 0x80) ? i : -i);
326 }
327 
328 /*! \brief Transcode from A-law to u-law, using the procedure defined in G.711.
329     \param alaw The A-law sample to transcode.
330     \return The best matching u-law value.
331 */
332 uint8_t alaw_to_ulaw(uint8_t alaw);
333 
334 /*! \brief Transcode from u-law to A-law, using the procedure defined in G.711.
335     \param alaw The u-law sample to transcode.
336     \return The best matching A-law value.
337 */
338 uint8_t ulaw_to_alaw(uint8_t ulaw);
339 
340 #ifdef __cplusplus
341 }
342 #endif
343 
344 #endif
345