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1 /*
2  * Copyright 1992 by Jutta Degener and Carsten Bormann, Technische
3  * Universitaet Berlin.  See the accompanying file "COPYRIGHT" for
4  * details.  THERE IS ABSOLUTELY NO WARRANTY FOR THIS SOFTWARE.
5  */
6 
7 #include <stdio.h>
8 #include <assert.h>
9 
10 #include "gsm610_priv.h"
11 
12 /*  4.2.13 .. 4.2.17  RPE ENCODING SECTION
13  */
14 
15 /* 4.2.13 */
16 
Weighting_filter(register int16_t * e,int16_t * x)17 static void Weighting_filter (
18 	register int16_t	* e,		/* signal [-5..0.39.44]	IN  */
19 	int16_t		* x		/* signal [0..39]	OUT */
20 )
21 /*
22  *  The coefficients of the weighting filter are stored in a table
23  *  (see table 4.4).  The following scaling is used:
24  *
25  *	H[0..10] = integer(real_H [0..10] * 8192) ;
26  */
27 {
28 	/* int16_t			wt [50] ; */
29 
30 	register int32_t	L_result ;
31 	register int		k /* , i */ ;
32 
33 	/*  Initialization of a temporary working array wt[0...49]
34 	 */
35 
36 	/* for (k =  0 ; k <=  4 ; k++) wt[k] = 0 ;
37 	 * for (k =  5 ; k <= 44 ; k++) wt[k] = *e++;
38 	 * for (k = 45 ; k <= 49 ; k++) wt[k] = 0 ;
39 	 *
40 	 *  (e[-5..-1] and e[40..44] are allocated by the caller,
41 	 *  are initially zero and are not written anywhere.)
42 	 */
43 	e -= 5 ;
44 
45 	/*  Compute the signal x[0..39]
46 	 */
47 	for (k = 0 ; k <= 39 ; k++)
48 	{	L_result = 8192 >> 1 ;
49 
50 		/* for (i = 0 ; i <= 10 ; i++) {
51 		 *	L_temp   = GSM_L_MULT(wt[k+i], gsm_H[i]) ;
52 		 *	L_result = GSM_L_ADD(L_result, L_temp) ;
53 		 * }
54 		 */
55 
56 #undef	STEP
57 #define	STEP(i, H)	(e [k + i] * (int32_t) H)
58 
59 		/*  Every one of these multiplications is done twice --
60 		 *  but I don't see an elegant way to optimize this.
61 		 *  Do you?
62 		 */
63 
64 #ifdef	STUPID_COMPILER
65 		L_result += STEP (0, -134) ;
66 		L_result += STEP (1, -374) ;
67 					/* + STEP (2, 0)  */
68 		L_result += STEP (3, 2054) ;
69 		L_result += STEP (4, 5741) ;
70 		L_result += STEP (5, 8192) ;
71 		L_result += STEP (6, 5741) ;
72 		L_result += STEP (7, 2054) ;
73 					/* + STEP (8, 0)  */
74 		L_result += STEP (9, -374) ;
75 		L_result += STEP (10, -134) ;
76 #else
77 		L_result += STEP (0, -134)
78 				+ STEP (1, -374)
79 					/* + STEP (2, 0)  */
80 				+ STEP (3, 2054)
81 				+ STEP (4, 5741)
82 				+ STEP (5, 8192)
83 				+ STEP (6, 5741)
84 				+ STEP (7, 2054)
85 					/* + STEP (8, 0)  */
86 				+ STEP (9, -374)
87 				+ STEP (10, -134) ;
88 #endif
89 
90 		/* L_result = GSM_L_ADD(L_result, L_result) ; (* scaling(x2) *)
91 		 * L_result = GSM_L_ADD(L_result, L_result) ; (* scaling(x4) *)
92 		 *
93 		 * x[k] = SASR(L_result, 16) ;
94 		 */
95 
96 		/* 2 adds vs. >>16 => 14, minus one shift to compensate for
97 		 * those we lost when replacing L_MULT by '*'.
98 		 */
99 
100 		L_result = SASR_L (L_result, 13) ;
101 		x [k] = (L_result < MIN_WORD ? MIN_WORD
102 			: (L_result > MAX_WORD ? MAX_WORD : L_result)) ;
103 	}
104 }
105 
106 /* 4.2.14 */
107 
RPE_grid_selection(int16_t * x,int16_t * xM,int16_t * Mc_out)108 static void RPE_grid_selection (
109 	int16_t		* x,		/* [0..39]		IN  */
110 	int16_t		* xM,		/* [0..12]		OUT */
111 	int16_t		* Mc_out	/*			OUT */
112 )
113 /*
114  *  The signal x[0..39] is used to select the RPE grid which is
115  *  represented by Mc.
116  */
117 {
118 	register int		i ;
119 	register int32_t	L_result, L_temp ;
120 	int32_t		EM ;	/* xxx should be L_EM? */
121 	int16_t			Mc ;
122 
123 	int32_t		L_common_0_3 ;
124 
125 	EM = 0 ;
126 	Mc = 0 ;
127 
128 	/* for (m = 0 ; m <= 3 ; m++) {
129 	 *	L_result = 0 ;
130 	 *
131 	 *
132 	 *	for (i = 0 ; i <= 12 ; i++) {
133 	 *
134 	 *		temp1	= SASR_W (x[m + 3*i], 2) ;
135 	 *
136 	 *		assert (temp1 != MIN_WORD) ;
137 	 *
138 	 *		L_temp   = GSM_L_MULT(temp1, temp1) ;
139 	 *		L_result = GSM_L_ADD(L_temp, L_result) ;
140 	 *	}
141 	 *
142 	 *	if (L_result > EM) {
143 	 *		Mc = m ;
144 	 *		EM = L_result ;
145 	 *	}
146 	 * }
147 	 */
148 
149 #undef	STEP
150 #define	STEP(m, i)	L_temp = SASR_W (x [m + 3 * i], 2) ;	\
151 					L_result += L_temp * L_temp ;
152 
153 	/* common part of 0 and 3 */
154 
155 	L_result = 0 ;
156 	STEP (0, 1) ; STEP (0, 2) ; STEP (0, 3) ; STEP (0, 4) ;
157 	STEP (0, 5) ; STEP (0, 6) ; STEP (0, 7) ; STEP (0, 8) ;
158 	STEP (0, 9) ; STEP (0, 10) ; STEP (0, 11) ; STEP (0, 12) ;
159 	L_common_0_3 = L_result ;
160 
161 	/* i = 0 */
162 
163 	STEP (0, 0) ;
164 	L_result <<= 1 ;	/* implicit in L_MULT */
165 	EM = L_result ;
166 
167 	/* i = 1 */
168 
169 	L_result = 0 ;
170 	STEP (1, 0) ;
171 	STEP (1, 1) ; STEP (1, 2) ; STEP (1, 3) ; STEP (1, 4) ;
172 	STEP (1, 5) ; STEP (1, 6) ; STEP (1, 7) ; STEP (1, 8) ;
173 	STEP (1, 9) ; STEP (1, 10) ; STEP (1, 11) ; STEP (1, 12) ;
174 	L_result <<= 1 ;
175 	if (L_result > EM)
176 	{	Mc = 1 ;
177 		EM = L_result ;
178 		}
179 
180 	/* i = 2 */
181 
182 	L_result = 0 ;
183 	STEP (2, 0) ;
184 	STEP (2, 1) ; STEP (2, 2) ; STEP (2, 3) ; STEP (2, 4) ;
185 	STEP (2, 5) ; STEP (2, 6) ; STEP (2, 7) ; STEP (2, 8) ;
186 	STEP (2, 9) ; STEP (2, 10) ; STEP (2, 11) ; STEP (2, 12) ;
187 	L_result <<= 1 ;
188 	if (L_result > EM)
189 	{	Mc = 2 ;
190 		EM = L_result ;
191 		}
192 
193 	/* i = 3 */
194 
195 	L_result = L_common_0_3 ;
196 	STEP (3, 12) ;
197 	L_result <<= 1 ;
198 	if (L_result > EM)
199 	{	Mc = 3 ;
200 		EM = L_result ;
201 		}
202 
203 	/*  Down-sampling by a factor 3 to get the selected xM [0..12]
204 	 *  RPE sequence.
205 	 */
206 	for (i = 0 ; i <= 12 ; i ++) xM [i] = x [Mc + 3 * i] ;
207 	*Mc_out = Mc ;
208 }
209 
210 /* 4.12.15 */
211 
APCM_quantization_xmaxc_to_exp_mant(int16_t xmaxc,int16_t * expon_out,int16_t * mant_out)212 static void APCM_quantization_xmaxc_to_exp_mant (
213 	int16_t		xmaxc,		/* IN 	*/
214 	int16_t		* expon_out,	/* OUT	*/
215 	int16_t		* mant_out)	/* OUT  */
216 {
217 	int16_t	expon, mant ;
218 
219 	/* Compute expononent and mantissa of the decoded version of xmaxc
220 	 */
221 
222 	expon = 0 ;
223 	if (xmaxc > 15) expon = SASR_W (xmaxc, 3) - 1 ;
224 	mant = xmaxc - (expon << 3) ;
225 
226 	if (mant == 0)
227 	{	expon = -4 ;
228 		mant = 7 ;
229 		}
230 	else
231 	{	while (mant <= 7)
232 		{	mant = mant << 1 | 1 ;
233 			expon-- ;
234 			}
235 		mant -= 8 ;
236 		}
237 
238 	assert (expon >= -4 && expon <= 6) ;
239 	assert (mant >= 0 && mant <= 7) ;
240 
241 	*expon_out = expon ;
242 	*mant_out = mant ;
243 }
244 
APCM_quantization(int16_t * xM,int16_t * xMc,int16_t * mant_out,int16_t * expon_out,int16_t * xmaxc_out)245 static void APCM_quantization (
246 	int16_t		* xM,		/* [0..12]		IN	*/
247 	int16_t		* xMc,		/* [0..12]		OUT	*/
248 	int16_t		* mant_out,	/* 			OUT	*/
249 	int16_t		* expon_out,	/*			OUT	*/
250 	int16_t		* xmaxc_out	/*			OUT	*/
251 )
252 {
253 	int	i, itest ;
254 
255 	int16_t	xmax, xmaxc, temp, temp1, temp2 ;
256 	int16_t	expon, mant ;
257 
258 
259 	/*  Find the maximum absolute value xmax of xM [0..12].
260 	 */
261 
262 	xmax = 0 ;
263 	for (i = 0 ; i <= 12 ; i++)
264 	{	temp = xM [i] ;
265 		temp = GSM_ABS (temp) ;
266 		if (temp > xmax) xmax = temp ;
267 		}
268 
269 	/*  Qantizing and coding of xmax to get xmaxc.
270 	 */
271 
272 	expon = 0 ;
273 	temp = SASR_W (xmax, 9) ;
274 	itest = 0 ;
275 
276 	for (i = 0 ; i <= 5 ; i++)
277 	{	itest |= (temp <= 0) ;
278 		temp = SASR_W (temp, 1) ;
279 
280 		assert (expon <= 5) ;
281 		if (itest == 0) expon++ ;		/* expon = add (expon, 1) */
282 		}
283 
284 	assert (expon <= 6 && expon >= 0) ;
285 	temp = expon + 5 ;
286 
287 	assert (temp <= 11 && temp >= 0) ;
288 	xmaxc = gsm_add (SASR_W (xmax, temp), (int16_t) (expon << 3)) ;
289 
290 	/*   Quantizing and coding of the xM [0..12] RPE sequence
291 	 *   to get the xMc [0..12]
292 	 */
293 
294 	APCM_quantization_xmaxc_to_exp_mant (xmaxc, &expon, &mant) ;
295 
296 	/*  This computation uses the fact that the decoded version of xmaxc
297 	 *  can be calculated by using the expononent and the mantissa part of
298 	 *  xmaxc (logarithmic table).
299 	 *  So, this method avoids any division and uses only a scaling
300 	 *  of the RPE samples by a function of the expononent.  A direct
301 	 *  multiplication by the inverse of the mantissa (NRFAC[0..7]
302 	 *  found in table 4.5) gives the 3 bit coded version xMc [0..12]
303 	 *  of the RPE samples.
304 	 */
305 
306 
307 	/* Direct computation of xMc [0..12] using table 4.5
308 	 */
309 
310 	assert (expon <= 4096 && expon >= -4096) ;
311 	assert (mant >= 0 && mant <= 7) ;
312 
313 	temp1 = 6 - expon ;			/* normalization by the expononent */
314 	temp2 = gsm_NRFAC [mant] ;	/* inverse mantissa 		 */
315 
316 	for (i = 0 ; i <= 12 ; i++)
317 	{	assert (temp1 >= 0 && temp1 < 16) ;
318 
319 		temp = arith_shift_left (xM [i], temp1) ;
320 		temp = GSM_MULT (temp, temp2) ;
321 		temp = SASR_W (temp, 12) ;
322 		xMc [i] = temp + 4 ;		/* see note below */
323 	}
324 
325 	/*  NOTE: This equation is used to make all the xMc [i] positive.
326 	 */
327 
328 	*mant_out = mant ;
329 	*expon_out = expon ;
330 	*xmaxc_out = xmaxc ;
331 }
332 
333 /* 4.2.16 */
334 
APCM_inverse_quantization(register int16_t * xMc,int16_t mant,int16_t expon,register int16_t * xMp)335 static void APCM_inverse_quantization (
336 	register int16_t	* xMc,	/* [0..12]			IN 	*/
337 	int16_t		mant,
338 	int16_t		expon,
339 	register int16_t	* xMp)	/* [0..12]			OUT 	*/
340 /*
341  *  This part is for decoding the RPE sequence of coded xMc [0..12]
342  *  samples to obtain the xMp[0..12] array.  Table 4.6 is used to get
343  *  the mantissa of xmaxc (FAC[0..7]).
344  */
345 {
346 	int	i ;
347 	int16_t	temp, temp1, temp2, temp3 ;
348 
349 	assert (mant >= 0 && mant <= 7) ;
350 
351 	temp1 = gsm_FAC [mant] ;	/* see 4.2-15 for mant */
352 	temp2 = gsm_sub (6, expon) ;	/* see 4.2-15 for exp  */
353 	temp3 = gsm_asl (1, gsm_sub (temp2, 1)) ;
354 
355 	for (i = 13 ; i-- ;)
356 	{	assert (*xMc <= 7 && *xMc >= 0) ;	/* 3 bit unsigned */
357 
358 		/* temp = gsm_sub (*xMc++ << 1, 7) ; */
359 		temp = (*xMc++ << 1) - 7 ;			/* restore sign   */
360 		assert (temp <= 7 && temp >= -7) ;	/* 4 bit signed   */
361 
362 		temp = arith_shift_left (temp, 12) ;	/* 16 bit signed  */
363 		temp = GSM_MULT_R (temp1, temp) ;
364 		temp = GSM_ADD (temp, temp3) ;
365 		*xMp++ = gsm_asr (temp, temp2) ;
366 	}
367 }
368 
369 /* 4.2.17 */
370 
RPE_grid_positioning(int16_t Mc,register int16_t * xMp,register int16_t * ep)371 static void RPE_grid_positioning (
372 	int16_t		Mc,		/* grid position	IN	*/
373 	register int16_t	* xMp,		/* [0..12]		IN	*/
374 	register int16_t	* ep		/* [0..39]		OUT	*/
375 )
376 /*
377  *  This procedure computes the reconstructed long term residual signal
378  *  ep[0..39] for the LTP analysis filter.  The inputs are the Mc
379  *  which is the grid position selection and the xMp[0..12] decoded
380  *  RPE samples which are upsampled by a factor of 3 by inserting zero
381  *  values.
382  */
383 {
384 	int	i = 13 ;
385 
386 	assert (0 <= Mc && Mc <= 3) ;
387 
388 	switch (Mc)
389 	{	case 3: *ep++ = 0 ;
390 				/* Falls through. */
391 		case 2: do
392 				{	*ep++ = 0 ;
393 				/* Falls through. */
394 		case 1:		*ep++ = 0 ;
395 				/* Falls through. */
396 		case 0:		*ep++ = *xMp++ ;
397 					} while (--i) ;
398 	}
399 	while (++Mc < 4) *ep++ = 0 ;
400 }
401 
402 /* 4.2.18 */
403 
404 /*  This procedure adds the reconstructed long term residual signal
405  *  ep[0..39] to the estimated signal dpp[0..39] from the long term
406  *  analysis filter to compute the reconstructed short term residual
407  *  signal dp[-40..-1] ; also the reconstructed short term residual
408  *  array dp[-120..-41] is updated.
409  */
410 
411 #if 0	/* Has been inlined in code.c */
412 void Gsm_Update_of_reconstructed_short_time_residual_signal (
413 	int16_t	* dpp,		/* [0...39]	IN	*/
414 	int16_t	* ep,		/* [0...39]	IN	*/
415 	int16_t	* dp)		/* [-120...-1]  IN/OUT 	*/
416 {
417 	int 		k ;
418 
419 	for (k = 0 ; k <= 79 ; k++)
420 		dp [-120 + k] = dp [-80 + k] ;
421 
422 	for (k = 0 ; k <= 39 ; k++)
423 		dp [-40 + k] = gsm_add (ep [k], dpp [k]) ;
424 }
425 #endif	/* Has been inlined in code.c */
426 
Gsm_RPE_Encoding(int16_t * e,int16_t * xmaxc,int16_t * Mc,int16_t * xMc)427 void Gsm_RPE_Encoding (
428 	int16_t	* e,		/* -5..-1][0..39][40..44	IN/OUT  */
429 	int16_t	* xmaxc,	/* 				OUT */
430 	int16_t	* Mc,		/* 			  	OUT */
431 	int16_t	* xMc)		/* [0..12]			OUT */
432 {
433 	int16_t	x [40] ;
434 	int16_t	xM [13], xMp [13] ;
435 	int16_t	mant, expon ;
436 
437 	Weighting_filter (e, x) ;
438 	RPE_grid_selection (x, xM, Mc) ;
439 
440 	APCM_quantization (xM, xMc, &mant, &expon, xmaxc) ;
441 	APCM_inverse_quantization (xMc, mant, expon, xMp) ;
442 
443 	RPE_grid_positioning (*Mc, xMp, e) ;
444 
445 }
446 
Gsm_RPE_Decoding(int16_t xmaxcr,int16_t Mcr,int16_t * xMcr,int16_t * erp)447 void Gsm_RPE_Decoding (
448 	int16_t 		xmaxcr,
449 	int16_t		Mcr,
450 	int16_t		* xMcr,	/* [0..12], 3 bits 		IN	*/
451 	int16_t		* erp	/* [0..39]			OUT 	*/
452 )
453 {
454 	int16_t	expon, mant ;
455 	int16_t	xMp [13] ;
456 
457 	APCM_quantization_xmaxc_to_exp_mant (xmaxcr, &expon, &mant) ;
458 	APCM_inverse_quantization (xMcr, mant, expon, xMp) ;
459 	RPE_grid_positioning (Mcr, xMp, erp) ;
460 }
461