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/*******************************************************************************

  Eurecom OpenAirInterface
  Copyright(c) 1999 - 2011 Eurecom

  This program is free software; you can redistribute it and/or modify it
  under the terms and conditions of the GNU General Public License,
  version 2, as published by the Free Software Foundation.

  This program is distributed in the hope it will be useful, but WITHOUT
  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License for
  more details.

  You should have received a copy of the GNU General Public License along with
  this program; if not, write to the Free Software Foundation, Inc.,
  51 Franklin St - Fifth Floor, Boston, MA 02110-1301 USA.

  The full GNU General Public License is included in this distribution in
  the file called "COPYING".

  Contact Information
  Openair Admin: openair_admin@eurecom.fr
  Openair Tech : openair_tech@eurecom.fr
  Forums       : http://forums.eurecom.fsr/openairinterface
  Address      : Eurecom, 2229, route des crêtes, 06560 Valbonne Sophia Antipolis, France

*******************************************************************************/

/*! \file PHY/LTE_TRANSPORT/prach.c
 * \brief Top-level routines for generating and decoding the PRACH physical channel V8.6 2009-03
 * \author R. Knopp
 * \date 2011
 * \version 0.1
 * \company Eurecom
 * \email: knopp@eurecom.fr
 * \note
 * \warning
 */
#ifdef __SSE2__
#include <emmintrin.h>
#include <xmmintrin.h>
#endif
#ifdef __SSE3__
#include <pmmintrin.h>
#include <tmmintrin.h>
#endif
#include "PHY/defs.h"
#include "PHY/extern.h"
//#include "prach.h"
#include "SCHED/defs.h"
#include "SCHED/extern.h"
#include "UTIL/LOG/vcd_signal_dumper.h"

//#define PRACH_DEBUG 1

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uint16_t NCS_unrestricted[16] = {0,13,15,18,22,26,32,38,46,59,76,93,119,167,279,419};
uint16_t NCS_restricted[15]   = {15,18,22,26,32,38,46,55,68,82,100,128,158,202,237}; // high-speed case
uint16_t NCS_4[7]             = {2,4,6,8,10,12,15};
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int16_t ru[2*839]; // quantized roots of unity
uint32_t ZC_inv[839]; // multiplicative inverse for roots u
uint16_t du[838];
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typedef struct {
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  uint8_t f_ra;
  uint8_t t0_ra;
  uint8_t t1_ra;
  uint8_t t2_ra;
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} PRACH_TDD_PREAMBLE_MAP_elem;
typedef struct {
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  uint8_t num_prach;
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  PRACH_TDD_PREAMBLE_MAP_elem map[6];
} PRACH_TDD_PREAMBLE_MAP;

// This is table 5.7.1-4 from 36.211
PRACH_TDD_PREAMBLE_MAP tdd_preamble_map[64][7] = { 
  // TDD Configuration Index 0
  { {1,{{0,1,0,2}}},{1,{{0,1,0,1}}}, {1,{{0,1,0,0}}}, {1,{{0,1,0,2}}}, {1,{{0,1,0,1}}}, {1,{{0,1,0,0}}}, {1,{{0,1,0,2}}}},
  // TDD Configuration Index 1
  { {1,{{0,2,0,2}}},{1,{{0,2,0,1}}}, {1,{{0,2,0,0}}}, {1,{{0,2,0,2}}}, {1,{{0,2,0,1}}}, {1,{{0,2,0,0}}}, {1,{{0,2,0,2}}}},
  // TDD Configuration Index 2
  { {1,{{0,1,1,2}}},{1,{{0,1,1,1}}}, {1,{{0,1,1,0}}}, {1,{{0,1,0,1}}}, {1,{{0,1,0,0}}}, {0,{{0,0,0,0}}}, {1,{{0,1,1,1}}}},
  // TDD Configuration Index 3
  { {1,{{0,0,0,2}}},{1,{{0,0,0,1}}}, {1,{{0,0,0,0}}}, {1,{{0,0,0,2}}}, {1,{{0,0,0,1}}}, {1,{{0,0,0,0}}}, {1,{{0,0,0,2}}}},
  // TDD Configuration Index 4
  { {1,{{0,0,1,2}}},{1,{{0,0,1,1}}}, {1,{{0,0,1,0}}}, {1,{{0,0,0,1}}}, {1,{{0,0,0,0}}}, {0,{{0,0,0,0}}}, {1,{{0,0,1,1}}}},
  // TDD Configuration Index 5
  { {1,{{0,0,0,1}}},{1,{{0,0,0,0}}}, {0,{{0,0,0,0}}}, {1,{{0,0,0,0}}}, {0,{{0,0,0,1}}}, {0,{{0,0,0,0}}}, {1,{{0,0,0,1}}}},
  // TDD Configuration Index 6
  { {2,{{0,0,0,2},{0,0,1,2}}}, {2,{{0,0,0,1},{0,0,1,1}}}, {2,{{0,0,0,0},{0,0,1,0}}}, {2,{{0,0,0,1},{0,0,0,2}}}, {2,{{0,0,0,0},{0,0,0,1}}}, {2,{{0,0,0,0},{1,0,0,0}}}, {2,{{0,0,0,2},{0,0,1,1}}}},
  // TDD Configuration Index 7
  { {2,{{0,0,0,1},{0,0,1,1}}}, {2,{{0,0,0,0},{0,0,1,0}}}, {0,{{0,0,0,0},{0,0,0,0}}}, {2,{{0,0,0,1},{0,0,0,2}}}, {0,{{0,0,0,0},{0,0,0,0}}}, {0,{{0,0,0,0},{0,0,0,0}}}, {2,{{0,0,0,1},{0,0,1,0}}}},
  // TDD Configuration Index 8
  { {2,{{0,0,0,0},{0,0,1,0}}}, {0,{{0,0,0,0},{0,0,0,0}}}, {0,{{0,0,0,0},{0,0,0,0}}}, {2,{{0,0,0,0},{0,0,0,1}}}, {0,{{0,0,0,0},{0,0,0,0}}}, {0,{{0,0,0,0},{0,0,0,0}}}, {2,{{0,0,0,0},{0,0,1,1}}}},
  // TDD Configuration Index 9
  { {3,{{0,0,0,1},{0,0,0,2},{0,0,1,2}}}, {3,{{0,0,0,0},{0,0,0,1},{0,0,1,1}}}, {3,{{0,0,0,0},{0,0,1,0},{1,0,0,0}}}, {3,{{0,0,0,0},{0,0,0,1},{0,0,0,2}}}, {3,{{0,0,0,0},{0,0,0,1},{1,0,0,1}}}, {3,{{0,0,0,0},{1,0,0,0},{2,0,0,0}}}, {3,{{0,0,0,1},{0,0,0,2},{0,0,1,1}}}},
  // TDD Configuration Index 10
  { {3,{{0,0,0,0},{0,0,1,0},{0,0,1,1}}}, {3,{{0,0,0,1},{0,0,1,0},{0,0,1,1}}}, {3,{{0,0,0,0},{0,0,1,0},{1,0,1,0}}}, {0,{{0,0,0,0},{0,0,0,0},{0,0,0,0}}}, {3,{{0,0,0,0},{0,0,0,1},{1,0,0,0}}}, {0,{{0,0,0,0},{0,0,0,0},{0,0,0,0}}}, {3,{{0,0,0,0},{0,0,0,2},{0,0,1,0}}}},
  // TDD Configuration Index 11
  { {0,{{0,0,0,0},{0,0,0,0},{0,0,0,0}}}, {3,{{0,0,0,0},{0,0,0,1},{0,0,1,0}}}, {0,{{0,0,0,0},{0,0,0,0},{0,0,0,0}}}, {0,{{0,0,0,0},{0,0,0,0},{0,0,0,0}}}, {0,{{0,0,0,0},{0,0,0,0},{0,0,0,0}}}, {0,{{0,0,0,0},{0,0,0,0},{0,0,0,0}}}, {3,{{0,0,0,1},{0,0,1,0},{0,0,1,1}}}}
};

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uint16_t prach_root_sequence_map0_3[838] = { 129, 710, 140, 699, 120, 719, 210, 629, 168, 671, 84, 755, 105, 734, 93, 746, 70, 769, 60, 779,
105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163
					2, 837, 1, 838,
					56, 783, 112, 727, 148, 691,
					80, 759, 42, 797, 40, 799,
					35, 804, 73, 766, 146, 693,
					31, 808, 28, 811, 30, 809, 27, 812, 29, 810,
					24, 815, 48, 791, 68, 771, 74, 765, 178, 661, 136, 703,
					86, 753, 78, 761, 43, 796, 39, 800, 20, 819, 21, 818,
					95, 744, 202, 637, 190, 649, 181, 658, 137, 702, 125, 714, 151, 688,
					217, 622, 128, 711, 142, 697, 122, 717, 203, 636, 118, 721, 110, 729, 89, 750, 103, 736, 61,
					778, 55, 784, 15, 824, 14, 825,
					12, 827, 23, 816, 34, 805, 37, 802, 46, 793, 207, 632, 179, 660, 145, 694, 130, 709, 223, 616,
					228, 611, 227, 612, 132, 707, 133, 706, 143, 696, 135, 704, 161, 678, 201, 638, 173, 666, 106,
					733, 83, 756, 91, 748, 66, 773, 53, 786, 10, 829, 9, 830,
					7, 832, 8, 831, 16, 823, 47, 792, 64, 775, 57, 782, 104, 735, 101, 738, 108, 731, 208, 631, 184,
					655, 197, 642, 191, 648, 121, 718, 141, 698, 149, 690, 216, 623, 218, 621,
					152, 687, 144, 695, 134, 705, 138, 701, 199, 640, 162, 677, 176, 663, 119, 720, 158, 681, 164,
					675, 174, 665, 171, 668, 170, 669, 87, 752, 169, 670, 88, 751, 107, 732, 81, 758, 82, 757, 100,
					739, 98, 741, 71, 768, 59, 780, 65, 774, 50, 789, 49, 790, 26, 813, 17, 822, 13, 826, 6, 833,
					5, 834, 33, 806, 51, 788, 75, 764, 99, 740, 96, 743, 97, 742, 166, 673, 172, 667, 175, 664, 187,
					652, 163, 676, 185, 654, 200, 639, 114, 725, 189, 650, 115, 724, 194, 645, 195, 644, 192, 647,
					182, 657, 157, 682, 156, 683, 211, 628, 154, 685, 123, 716, 139, 700, 212, 627, 153, 686, 213,
					626, 215, 624, 150, 689,
					225, 614, 224, 615, 221, 618, 220, 619, 127, 712, 147, 692, 124, 715, 193, 646, 205, 634, 206,
					633, 116, 723, 160, 679, 186, 653, 167, 672, 79, 760, 85, 754, 77, 762, 92, 747, 58, 781, 62,
					777, 69, 770, 54, 785, 36, 803, 32, 807, 25, 814, 18, 821, 11, 828, 4, 835,
					3, 836, 19, 820, 22, 817, 41, 798, 38, 801, 44, 795, 52, 787, 45, 794, 63, 776, 67, 772, 72,
					767, 76, 763, 94, 745, 102, 737, 90, 749, 109, 730, 165, 674, 111, 728, 209, 630, 204, 635, 117,
					722, 188, 651, 159, 680, 198, 641, 113, 726, 183, 656, 180, 659, 177, 662, 196, 643, 155, 684,
					214, 625, 126, 713, 131, 708, 219, 620, 222, 617, 226, 613,
					230, 609, 232, 607, 262, 577, 252, 587, 418, 421, 416, 423, 413, 426, 411, 428, 376, 463, 395,
					444, 283, 556, 285, 554, 379, 460, 390, 449, 363, 476, 384, 455, 388, 451, 386, 453, 361, 478,
					387, 452, 360, 479, 310, 529, 354, 485, 328, 511, 315, 524, 337, 502, 349, 490, 335, 504, 324,
					515,
					323, 516, 320, 519, 334, 505, 359, 480, 295, 544, 385, 454, 292, 547, 291, 548, 381, 458, 399,
					440, 380, 459, 397, 442, 369, 470, 377, 462, 410, 429, 407, 432, 281, 558, 414, 425, 247, 592,
					277, 562, 271, 568, 272, 567, 264, 575, 259, 580,
					237, 602, 239, 600, 244, 595, 243, 596, 275, 564, 278, 561, 250, 589, 246, 593, 417, 422, 248,
					591, 394, 445, 393, 446, 370, 469, 365, 474, 300, 539, 299, 540, 364, 475, 362, 477, 298, 541,
					312, 527, 313, 526, 314, 525, 353, 486, 352, 487, 343, 496, 327, 512, 350, 489, 326, 513, 319,
					520, 332, 507, 333, 506, 348, 491, 347, 492, 322, 517,
					330, 509, 338, 501, 341, 498, 340, 499, 342, 497, 301, 538, 366, 473, 401, 438, 371, 468, 408,
					431, 375, 464, 249, 590, 269, 570, 238, 601, 234, 605,
					257, 582, 273, 566, 255, 584, 254, 585, 245, 594, 251, 588, 412, 427, 372, 467, 282, 557, 403,
					436, 396, 443, 392, 447, 391, 448, 382, 457, 389, 450, 294, 545, 297, 542, 311, 528, 344, 495,
					345, 494, 318, 521, 331, 508, 325, 514, 321, 518,
					346, 493, 339, 500, 351, 488, 306, 533, 289, 550, 400, 439, 378, 461, 374, 465, 415, 424, 270,
					569, 241, 598,
					231, 608, 260, 579, 268, 571, 276, 563, 409, 430, 398, 441, 290, 549, 304, 535, 308, 531, 358,
					481, 316, 523,
					293, 546, 288, 551, 284, 555, 368, 471, 253, 586, 256, 583, 263, 576,
					242, 597, 274, 565, 402, 437, 383, 456, 357, 482, 329, 510,
					317, 522, 307, 532, 286, 553, 287, 552, 266, 573, 261, 578,
					236, 603, 303, 536, 356, 483,
					355, 484, 405, 434, 404, 435, 406, 433,
					235, 604, 267, 572, 302, 537,
					309, 530, 265, 574, 233, 606,
					367, 472, 296, 543,
					336, 503, 305, 534, 373, 466, 280, 559, 279, 560, 419, 420, 240, 599, 258, 581, 229, 610};

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uint16_t prach_root_sequence_map4[138] = {  1,138,2,137,3,136,4,135,5,134,6,133,7,132,8,131,9,130,10,129,
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				       11,128,12,127,13,126,14,125,15,124,16,123,17,122,18,121,19,120,20,119,
				       21,118,22,117,23,116,24,115,25,114,26,113,27,112,28,111,29,110,30,109,
				       31,108,32,107,33,106,34,105,35,104,36,103,37,102,38,101,39,100,40,99,
				       41,98,42,97,43,96,44,95,45,94,46,93,47,92,48,91,49,90,50,89,
				       51,88,52,87,53,86,54,85,55,84,56,83,57,82,58,81,59,80,60,79,
				       61,78,62,77,63,76,64,75,65,74,66,73,67,72,68,71,69,70};

#ifdef USER_MODE
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void dump_prach_config(LTE_DL_FRAME_PARMS *frame_parms,uint8_t subframe) {
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  FILE *fd;

  fd = fopen("prach_config.txt","w");
  fprintf(fd,"prach_config: subframe          = %d\n",subframe);
  fprintf(fd,"prach_config: N_RB_UL           = %d\n",frame_parms->N_RB_UL);
  fprintf(fd,"prach_config: frame_type        = %s\n",(frame_parms->frame_type==1) ? "TDD":"FDD");
  if(frame_parms->frame_type==1) fprintf(fd,"prach_config: tdd_config        = %d\n",frame_parms->tdd_config);
  fprintf(fd,"prach_config: rootSequenceIndex = %d\n",frame_parms->prach_config_common.rootSequenceIndex); 
  fprintf(fd,"prach_config: prach_ConfigIndex = %d\n",frame_parms->prach_config_common.prach_ConfigInfo.prach_ConfigIndex); 
  fprintf(fd,"prach_config: Ncs_config        = %d\n",frame_parms->prach_config_common.prach_ConfigInfo.zeroCorrelationZoneConfig);
  fprintf(fd,"prach_config: highSpeedFlag     = %d\n",frame_parms->prach_config_common.prach_ConfigInfo.highSpeedFlag);
  fprintf(fd,"prach_config: n_ra_prboffset    = %d\n",frame_parms->prach_config_common.prach_ConfigInfo.prach_FreqOffset);
  fclose(fd);

}
#endif

// This function computes the du
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void fill_du(uint8_t prach_fmt) {
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  uint16_t iu,u,p;
  uint16_t N_ZC;
  uint16_t *prach_root_sequence_map;
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  if (prach_fmt<4) {
    N_ZC = 839;
    prach_root_sequence_map = prach_root_sequence_map0_3;
  }
  else {
    N_ZC = 139;
    prach_root_sequence_map = prach_root_sequence_map4;
  }

  for (iu=0;iu<(N_ZC-1);iu++) {

    u=prach_root_sequence_map[iu];
    p=1;
    while (((u*p)%N_ZC)!=1)
      p++;
    du[u] = ((p<(N_ZC>>1)) ? p : (N_ZC-p));
  }
  
}

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uint8_t get_num_prach_tdd(LTE_DL_FRAME_PARMS *frame_parms) {
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  return(tdd_preamble_map[frame_parms->prach_config_common.prach_ConfigInfo.prach_ConfigIndex][frame_parms->tdd_config].num_prach);
}

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uint8_t get_fid_prach_tdd(LTE_DL_FRAME_PARMS *frame_parms,uint8_t tdd_map_index) {
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  return(tdd_preamble_map[frame_parms->prach_config_common.prach_ConfigInfo.prach_ConfigIndex][frame_parms->tdd_config].map[tdd_map_index].f_ra);
}

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uint8_t get_prach_fmt(uint8_t prach_ConfigIndex,lte_frame_type_t frame_type) {
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  if (frame_type == FDD) // FDD
    return(prach_ConfigIndex>>4);

  else {
    if (prach_ConfigIndex < 20)
      return (0);
    if (prach_ConfigIndex < 30)
      return (1);
    if (prach_ConfigIndex < 40)
      return (2);
    if (prach_ConfigIndex < 48)
      return (3);
    else
      return (4);
  }
}


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int is_prach_subframe(LTE_DL_FRAME_PARMS *frame_parms,uint32_t frame, uint8_t subframe) {
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  uint8_t prach_ConfigIndex  = frame_parms->prach_config_common.prach_ConfigInfo.prach_ConfigIndex; 
  uint8_t tdd_config         = frame_parms->tdd_config; 
  uint8_t t0_ra;
  uint8_t t1_ra;
  uint8_t t2_ra;
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  if (frame_parms->frame_type == FDD) { //FDD
    //implement Table 5.7.1-2 from 36.211 (Rel-10, p.41)
    if ((((frame&1) == 1) && (subframe < 9)) ||
	(((frame&1) == 0) && (subframe == 9)))  // This is an odd frame, ignore even-only PRACH frames
      if (((prach_ConfigIndex&0xf)<3) || // 0,1,2,16,17,18,32,33,34,48,49,50
	  ((prach_ConfigIndex&0x1f)==18) || // 18,50
	  ((prach_ConfigIndex&0xf)==15))   // 15,47
	return(0);

    switch (prach_ConfigIndex&0x1f) {
    case 0:
    case 3:
      return(subframe==1);
      break;
    case 1:
    case 4:
      return(subframe==4);
      break;
    case 2:
    case 5:
      return(subframe==7);
      break;
    case 6:
      return((subframe==1) || (subframe==6));
      break;
    case 7:
      return((subframe==2) || (subframe==7));
      break;
    case 8:
      return((subframe==3) || (subframe==8));
      break;
    case 9:
      return((subframe==1) || (subframe==4) || (subframe==7));
      break;
    case 10:
      return((subframe==2) || (subframe==5) || (subframe==8));
      break;
    case 11:
      return((subframe==3) || (subframe==6) || (subframe==9));
      break;
    case 12:
      return((subframe&1)==0);
      break;
    case 13:
      return((subframe&1)==1);
      break;
    case 14:
      return(1==1);
      break;
    case 15:
      return(subframe==9);
      break;
    }
  }
  else {  // TDD

    if (prach_ConfigIndex>=64) {
      LOG_E(PHY,"[PHY] Illegal prach_ConfigIndex %d for ",prach_ConfigIndex);
      return(0);
    }

    if (tdd_preamble_map[prach_ConfigIndex][tdd_config].num_prach==0) {
      LOG_E(PHY,"[PHY] Illegal prach_ConfigIndex %d for ",prach_ConfigIndex);
      return(0);
    } 

    t0_ra = tdd_preamble_map[prach_ConfigIndex][tdd_config].map[0].t0_ra;
    t1_ra = tdd_preamble_map[prach_ConfigIndex][tdd_config].map[0].t1_ra;
    t2_ra = tdd_preamble_map[prach_ConfigIndex][tdd_config].map[0].t2_ra;
#ifdef PRACH_DEBUG    
    LOG_D(PHY,"[PRACH] Checking for PRACH format (ConfigIndex %d) in TDD subframe %d (%d,%d,%d)\n",
	  prach_ConfigIndex,
	  subframe,
	  t0_ra,t1_ra,t2_ra);
#endif    
    if ((((t0_ra == 1) && ((frame &1)==0))||  // frame is even and PRACH is in even frames
	 ((t0_ra == 2) && ((frame &1)==1))||  // frame is odd and PRACH is in odd frames
	 (t0_ra == 0)) &&                                // PRACH is in all frames
	(((subframe<5)&&(t1_ra==0)) ||                   // PRACH is in 1st half-frame
	 (((subframe>4)&&(t1_ra==1))))) {                // PRACH is in 2nd half-frame
      if (prach_ConfigIndex<48)                          // PRACH only in normal UL subframe 
	return((((subframe%5)-2)==t2_ra));
      else                                               // PRACH can be in UpPTS
	return((((subframe%5)-1)==t2_ra));
    }
    else
      return(1==2);
  }
  // shouldn't get here!
  return(2==1);
}

static short prach_tmp[45600*2] __attribute__((aligned(16)));

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int32_t generate_prach(PHY_VARS_UE *phy_vars_ue,uint8_t eNB_id,uint8_t subframe, uint16_t Nf) {
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  lte_frame_type_t frame_type         = phy_vars_ue->lte_frame_parms.frame_type;
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  uint8_t tdd_config         = phy_vars_ue->lte_frame_parms.tdd_config;
  uint16_t rootSequenceIndex = phy_vars_ue->lte_frame_parms.prach_config_common.rootSequenceIndex; 
  uint8_t prach_ConfigIndex  = phy_vars_ue->lte_frame_parms.prach_config_common.prach_ConfigInfo.prach_ConfigIndex; 
  uint8_t Ncs_config         = phy_vars_ue->lte_frame_parms.prach_config_common.prach_ConfigInfo.zeroCorrelationZoneConfig;
  uint8_t restricted_set     = phy_vars_ue->lte_frame_parms.prach_config_common.prach_ConfigInfo.highSpeedFlag;
  uint8_t n_ra_prboffset     = phy_vars_ue->lte_frame_parms.prach_config_common.prach_ConfigInfo.prach_FreqOffset;
  uint8_t preamble_index     = phy_vars_ue->prach_resources[eNB_id]->ra_PreambleIndex;
  uint8_t tdd_mapindex       = phy_vars_ue->prach_resources[eNB_id]->ra_TDD_map_index;
  int16_t *prachF           = phy_vars_ue->lte_ue_prach_vars[eNB_id]->prachF;
  int16_t *prach            = (int16_t*)prach_tmp;
  int16_t *prach2;
  int16_t amp               = phy_vars_ue->lte_ue_prach_vars[eNB_id]->amp;
  int16_t Ncp;
  uint8_t n_ra_prb;
  uint16_t NCS;
  uint16_t *prach_root_sequence_map;
  uint16_t preamble_offset,preamble_shift;
  uint16_t preamble_index0,n_shift_ra,n_shift_ra_bar;
  uint16_t d_start,n_group_ra,numshift;

  uint8_t prach_fmt = get_prach_fmt(prach_ConfigIndex,frame_type);
  uint8_t Nsp=2;
  uint8_t f_ra,t1_ra;
  uint16_t N_ZC = (prach_fmt<4)?839:139;
  uint8_t not_found;
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  int k;
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  int16_t *Xu;
  uint16_t u;
  int32_t Xu_re,Xu_im;
  uint16_t offset,offset2;
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  int prach_start;
#ifdef EXMIMO
  int overflow,j;
#endif
  int i, prach_len;
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  uint16_t first_nonzero_root_idx=0; 
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  //LOG_I(PHY,"[PRACH] prach_start=%d\n",prach_start);

#ifdef BIT8_TX
  prach_start = (subframe*phy_vars_ue->lte_frame_parms.samples_per_tti)<<1;
#else
#ifdef EXMIMO
  prach_start =  (phy_vars_ue->rx_offset+subframe*phy_vars_ue->lte_frame_parms.samples_per_tti-openair_daq_vars.timing_advance);
  if (prach_start<0)
    prach_start+=(phy_vars_ue->lte_frame_parms.samples_per_tti*LTE_NUMBER_OF_SUBFRAMES_PER_FRAME);
  if (prach_start>=(phy_vars_ue->lte_frame_parms.samples_per_tti*LTE_NUMBER_OF_SUBFRAMES_PER_FRAME))
    prach_start-=(phy_vars_ue->lte_frame_parms.samples_per_tti*LTE_NUMBER_OF_SUBFRAMES_PER_FRAME);
#else //normal case (simulation)
  prach_start = subframe*phy_vars_ue->lte_frame_parms.samples_per_tti;
#endif
#endif

  // First compute physical root sequence
  if (restricted_set == 0) {
    if (Ncs_config>15) {
      LOG_E(PHY,"[PHY] FATAL, Illegal Ncs_config for unrestricted format %d\n",Ncs_config);
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      mac_xface->macphy_exit("PRACH: Illegal Ncs_config for unrestricted format");
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    }
    NCS = NCS_unrestricted[Ncs_config];      
  }
  else {
    if (Ncs_config>14) {
      LOG_E(PHY,"[PHY] FATAL, Illegal Ncs_config for restricted format %d\n",Ncs_config);
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      mac_xface->macphy_exit("PRACH: Illegal Ncs_config for restricted format");
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    }
    NCS = NCS_restricted[Ncs_config];
  }

  n_ra_prb = n_ra_prboffset;
  prach_root_sequence_map = (prach_fmt<4) ? prach_root_sequence_map0_3 : prach_root_sequence_map4;
 
  if (frame_type == TDD) { // TDD

    if (tdd_preamble_map[prach_ConfigIndex][tdd_config].num_prach==0) {
      LOG_E(PHY,"[PHY][UE %d] Illegal prach_ConfigIndex %d for ",phy_vars_ue->Mod_id,prach_ConfigIndex);
    } 

    // adjust n_ra_prboffset for frequency multiplexing (p.36 36.211)
    f_ra = tdd_preamble_map[prach_ConfigIndex][tdd_config].map[tdd_mapindex].f_ra;
    if (prach_fmt < 4) {
      if ((f_ra&1) == 0) {
	n_ra_prb = n_ra_prboffset + 6*(f_ra>>1);
      }    
      else {
	n_ra_prb = phy_vars_ue->lte_frame_parms.N_RB_UL - 6 - n_ra_prboffset + 6*(f_ra>>1);
      }
    }
    else {
      if ((tdd_config >2) && (tdd_config<6)) 
	Nsp = 2;
      t1_ra = tdd_preamble_map[prach_ConfigIndex][tdd_config].map[0].t1_ra;
        
      if ((((Nf&1)*(2-Nsp)+t1_ra)&1) == 0) {
	n_ra_prb = 6*f_ra;
      }
      else {
	n_ra_prb = phy_vars_ue->lte_frame_parms.N_RB_UL - 6*(f_ra+1);
      }
    }
  }

  // This is the relative offset (for unrestricted case) in the root sequence table (5.7.2-4 from 36.211) for the given preamble index
  preamble_offset = ((NCS==0)? preamble_index : (preamble_index/(N_ZC/NCS)));
  
  if (restricted_set == 0) {
    // This is the \nu corresponding to the preamble index 
    preamble_shift  = (NCS==0)? 0 : (preamble_index % (N_ZC/NCS));
    preamble_shift *= NCS;    
  }
  else { // This is the high-speed case

#ifdef PRACH_DEBUG
    LOG_D(PHY,"[UE %d] High-speed mode, NCS_config %d\n",phy_vars_ue->Mod_id,Ncs_config);
#endif

    not_found = 1;
    preamble_index0 = preamble_index;
    // set preamble_offset to initial rootSequenceIndex and look if we need more root sequences for this
    // preamble index and find the corresponding cyclic shift
    preamble_offset = 0; // relative rootSequenceIndex;
    while (not_found == 1) {
      // current root depending on rootSequenceIndex and preamble_offset
      u = prach_root_sequence_map[(rootSequenceIndex + preamble_offset)%N_ZC];
      if ( (du[u]<(N_ZC/3)) && (du[u]>=NCS) ) {
	n_shift_ra     = du[u]/NCS;
	d_start        = (du[u]<<1) + (n_shift_ra * NCS);
	n_group_ra     = N_ZC/d_start;
	n_shift_ra_bar = max(0,(N_ZC-(du[u]<<1)-(n_group_ra*d_start))/N_ZC);
      }
      else if  ( (du[u]>=(N_ZC/3)) && (du[u]<=((N_ZC - NCS)>>1)) ) {
	n_shift_ra     = (N_ZC - (du[u]<<1))/NCS;
	d_start        = N_ZC - (du[u]<<1) + (n_shift_ra * NCS);
	n_group_ra     = du[u]/d_start;
	n_shift_ra_bar = min(n_shift_ra,max(0,(du[u]- (n_group_ra*d_start))/NCS));
      }
      else {
	n_shift_ra     = 0;
	n_shift_ra_bar = 0;
      }
      // This is the number of cyclic shifts for the current root u
      numshift = (n_shift_ra*n_group_ra) + n_shift_ra_bar;

      if (numshift>0 && preamble_index0==preamble_index)
	first_nonzero_root_idx = preamble_offset;

      if (preamble_index0 < numshift) {
	not_found      = 0;
	preamble_shift = (d_start * (preamble_index0/n_shift_ra)) + ((preamble_index0%n_shift_ra)*NCS);
            
      }
      else {  // skip to next rootSequenceIndex and recompute parameters
	preamble_offset++;
	preamble_index0 -= numshift;
      }
    }
  }
  
  // now generate PRACH signal
#ifdef PRACH_DEBUG
  if (NCS>0)
    LOG_D(PHY,"Generate PRACH for RootSeqIndex %d, Preamble Index %d, NCS %d (NCS_config %d, N_ZC/NCS %d) n_ra_prb %d: Preamble_offset %d, Preamble_shift %d\n",
	   rootSequenceIndex,preamble_index,NCS,Ncs_config,N_ZC/NCS,n_ra_prb,
	   preamble_offset,preamble_shift);
#endif

  //  nsymb = (frame_parms->Ncp==0) ? 14:12;
  //  subframe_offset = (unsigned int)frame_parms->ofdm_symbol_size*subframe*nsymb;
  
  k = (12*n_ra_prb) - 6*phy_vars_ue->lte_frame_parms.N_RB_UL;
  if (k<0)
    k+=phy_vars_ue->lte_frame_parms.ofdm_symbol_size;
  k*=12;
  k+=13;

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  Xu = (int16_t*)phy_vars_ue->X_u[preamble_offset-first_nonzero_root_idx];
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  /*
    k+=(12*phy_vars_ue->lte_frame_parms.first_carrier_offset);
    if (k>(12*phy_vars_ue->lte_frame_parms.ofdm_symbol_size))
    k-=(12*phy_vars_ue->lte_frame_parms.ofdm_symbol_size);
  */
  k*=2;
  switch (phy_vars_ue->lte_frame_parms.N_RB_UL) {
  case 6:
    memset((void*)prachF,0,4*1536);
    break;
  case 15:
    memset((void*)prachF,0,4*3072);
    break;
  case 25:
    memset((void*)prachF,0,4*6144);
    break;
  case 50:
    memset((void*)prachF,0,4*12288);
    break;
  case 75:
    memset((void*)prachF,0,4*19432);
    break;
  case 100:
    memset((void*)prachF,0,4*24576);
    break;
  }

  for (offset=0,offset2=0;offset<N_ZC;offset++,offset2+=preamble_shift) {

    if (offset2 >= N_ZC)
      offset2 -= N_ZC;

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    Xu_re = (((int32_t)Xu[offset<<1]*amp)>>15);
    Xu_im = (((int32_t)Xu[1+(offset<<1)]*amp)>>15);
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    prachF[k++]= ((Xu_re*ru[offset2<<1]) - (Xu_im*ru[1+(offset2<<1)]))>>15;
    prachF[k++]= ((Xu_im*ru[offset2<<1]) + (Xu_re*ru[1+(offset2<<1)]))>>15;

    if (k==(12*2*phy_vars_ue->lte_frame_parms.ofdm_symbol_size))
      k=0;
  }

  switch (prach_fmt) {
  case 0:
    Ncp = 3168;
    break;
  case 1:
  case 3:
    Ncp = 21024;
    break;
  case 2:
    Ncp = 6240;
    break;
  case 4:
    Ncp = 448;
    break;
  default:
    Ncp = 3168;
    break;
  }

  switch (phy_vars_ue->lte_frame_parms.N_RB_UL) {
  case 6:
    Ncp>>=4;
    prach+=4; // makes prach2 aligned to 128-bit
    break;
  case 15:
    Ncp>>=3;
    break;
  case 25:
    Ncp>>=2;
    break;
  case 50:
    Ncp>>=1;
    break;
  case 75:
    Ncp=(Ncp*3)>>2;
    break;
  }


  prach2 = prach+(Ncp<<1);
  // do IDFT
  switch (phy_vars_ue->lte_frame_parms.N_RB_UL) {
  case 6:
    if (prach_fmt == 4) {
      fft(prachF,prach2,twiddle_ifft256,rev256,8,4,0);
      //TODO: account for repeated format in fft output
      memcpy((void*)prach,(void*)(prach+512),Ncp<<2);
      prach_len=256+Ncp;
    }
    else {
      ifft1536(prachF,prach2);
      memcpy((void*)prach,(void*)(prach+3072),Ncp<<2);
      prach_len = 1536+Ncp;
      if (prach_fmt>1) {
	memcpy((void*)(prach2+3072),(void*)prach2,6144);
	prach_len = 2*1536+Ncp;
      }
    }
    break;
  case 15:
    if (prach_fmt == 4) {
      fft(prachF,prach2,twiddle_ifft512,rev512,9,4,0);
      //TODO: account for repeated format in fft output
      memcpy((void*)prach,(void*)(prach+1024),Ncp<<2);
      prach_len = 512+Ncp;
    }
    else {
      ifft3072(prachF,prach2);
      memcpy((void*)prach,(void*)(prach+6144),Ncp<<2);
      prach_len = 3072+Ncp;
      if (prach_fmt>1) {
	memcpy((void*)(prach2+6144),(void*)prach2,12288);
	prach_len = 2*3072+Ncp;
      }
    }
    break;
  case 25:
  default:
    if (prach_fmt == 4) {
      fft(prachF,prach2,twiddle_ifft1024,rev1024,10,5,0);
      //TODO: account for repeated format in fft output
      memcpy((void*)prach,(void*)(prach+2048),Ncp<<2);
      prach_len = 1024+Ncp;
    }
    else {
      ifft6144(prachF,prach2);
      /*for (i=0;i<6144*2;i++)
	prach2[i]<<=1;*/
      memcpy((void*)prach,(void*)(prach+12288),Ncp<<2);
      prach_len = 6144+Ncp;
      if (prach_fmt>1){
	memcpy((void*)(prach2+12288),(void*)prach2,24576);
	prach_len = 2*6144+Ncp;
      }
    }
    break;
  case 50:
    if (prach_fmt == 4) {
      fft(prachF,prach2,twiddle_ifft2048,rev2048,11,5,0);
      //TODO: account for repeated format in fft output
      memcpy((void*)prach,(void*)(prach+4096),Ncp<<2);
      prach_len = 2048+Ncp;
    }
    else {
      ifft12288(prachF,prach2);
      memcpy((void*)prach,(void*)(prach+24576),Ncp<<2);
      prach_len = 12288+Ncp;
      if (prach_fmt>1) {
	memcpy((void*)(prach2+24576),(void*)prach2,49152);
	prach_len = 2*12288+Ncp;
      }
    }
    break;
  case 75:
    if (prach_fmt == 4) {
      ifft3072(prachF,prach2);
      //TODO: account for repeated format in fft output
      memcpy((void*)prach,(void*)(prach+6144),Ncp<<2);
      prach_len = 3072+Ncp;
    }
    else {
      ifft18432(prachF,prach2);
      memcpy((void*)prach,(void*)(prach+36864),Ncp<<2);
      prach_len = 18432+Ncp;
      if (prach_fmt>1) {
	memcpy((void*)(prach2+36834),(void*)prach2,73728);
	prach_len = 2*18432+Ncp;
      }
    }
    break;
  case 100:
    if (prach_fmt == 4) {
      fft(prachF,prach2,twiddle_ifft4096,rev4096,12,6,0);
      //TODO: account for repeated format in fft output
      memcpy((void*)prach,(void*)(prach+8192),Ncp<<2);
      prach_len = 4096+Ncp;
    }
    else {
      ifft24576(prachF,prach2);
      memcpy((void*)prach,(void*)(prach+49152),Ncp<<2);
      prach_len = 24576+Ncp;
      if (prach_fmt>1) {
	memcpy((void*)(prach2+49152),(void*)prach2,98304);
	prach_len = 2* 24576+Ncp;
      }
    } 
    break;
  }

  //LOG_D(PHY,"prach_len=%d\n",prach_len);
  
  if (prach_fmt==4) {
    //TODO: account for repeated format in fft output
    LOG_E(PHY,"prach_fmt4 not fully implemented");
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    mac_xface->macphy_exit("prach_fmt4 not fully implemented");
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  }
  else {
#ifdef BIT8_TX
    for (i=0; i<prach_len; i++) {
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      ((int8_t*)(&phy_vars_ue->lte_ue_common_vars.txdata[aa][prach_start]))[2*i] = (int8_t)(prach[2*i]);
      ((int8_t*)(&phy_vars_ue->lte_ue_common_vars.txdata[aa][prach_start]))[2*i+1] = (int8_t)(prach[2*i+1]);
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    }
#else
#ifdef EXMIMO
    overflow = prach_start + prach_len - LTE_NUMBER_OF_SUBFRAMES_PER_FRAME*phy_vars_ue->lte_frame_parms.samples_per_tti;
    LOG_D(PHY,"prach_start=%d, overflow=%d\n",prach_start,overflow);
    for (i=prach_start,j=0; i<min(phy_vars_ue->lte_frame_parms.samples_per_tti*LTE_NUMBER_OF_SUBFRAMES_PER_FRAME,prach_start+prach_len); i++,j++) {
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      ((int16_t*)phy_vars_ue->lte_ue_common_vars.txdata[0])[2*i] = prach[2*j]<<4;
      ((int16_t*)phy_vars_ue->lte_ue_common_vars.txdata[0])[2*i+1] = prach[2*j+1]<<4;
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    }
    for (i=0;i<overflow;i++,j++) {
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      ((int16_t*)phy_vars_ue->lte_ue_common_vars.txdata[0])[2*i] = prach[2*j]<<4;
      ((int16_t*)phy_vars_ue->lte_ue_common_vars.txdata[0])[2*i+1] = prach[2*j+1]<<4;
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    }
#else
    for (i=0; i<prach_len; i++) {
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      ((int16_t*)(&phy_vars_ue->lte_ue_common_vars.txdata[0][prach_start]))[2*i] = prach[2*i];
      ((int16_t*)(&phy_vars_ue->lte_ue_common_vars.txdata[0][prach_start]))[2*i+1] = prach[2*i+1];
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    }
#endif
#endif
  }
  
  //  apply_625_Hz(phy_vars_ue,prach);
  return(signal_energy((int*)prach,256));
}
__m128i mmtmpX0,mmtmpX1,mmtmpX2,mmtmpX3;
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int16_t prach_ifft[4][1024*4];
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void rx_prach(PHY_VARS_eNB *phy_vars_eNB,uint8_t subframe,uint16_t *preamble_energy_list, uint16_t *preamble_delay_list, uint16_t Nf, uint8_t tdd_mapindex) {
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  int i;
  lte_frame_type_t frame_type         = phy_vars_eNB->lte_frame_parms.frame_type;

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  uint8_t tdd_config         = phy_vars_eNB->lte_frame_parms.tdd_config;
  uint16_t rootSequenceIndex = phy_vars_eNB->lte_frame_parms.prach_config_common.rootSequenceIndex; 
  uint8_t prach_ConfigIndex  = phy_vars_eNB->lte_frame_parms.prach_config_common.prach_ConfigInfo.prach_ConfigIndex; 
  uint8_t Ncs_config         = phy_vars_eNB->lte_frame_parms.prach_config_common.prach_ConfigInfo.zeroCorrelationZoneConfig;
  uint8_t restricted_set     = phy_vars_eNB->lte_frame_parms.prach_config_common.prach_ConfigInfo.highSpeedFlag;
  uint8_t n_ra_prboffset     = phy_vars_eNB->lte_frame_parms.prach_config_common.prach_ConfigInfo.prach_FreqOffset;
  int16_t *prachF           = phy_vars_eNB->lte_eNB_prach_vars.prachF; 
  int16_t **rxsigF          = phy_vars_eNB->lte_eNB_prach_vars.rxsigF;
  int16_t *prach[4];
  int16_t *prach2;
  uint8_t n_ra_prb;
  uint8_t preamble_index;
  uint16_t NCS,NCS2;
  uint16_t preamble_offset=0,preamble_offset_old;
  int16_t preamble_shift=0;
  uint32_t preamble_shift2;
  uint16_t preamble_index0=0,n_shift_ra=0,n_shift_ra_bar;
  uint16_t d_start=0,n_group_ra;
  uint16_t numshift=0;
  uint16_t *prach_root_sequence_map;
  uint8_t prach_fmt = get_prach_fmt(prach_ConfigIndex,frame_type);
  uint8_t Nsp=2;
  uint8_t f_ra,t1_ra;
  uint16_t N_ZC = (prach_fmt <4)?839:139;
  uint8_t not_found;
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  //  LTE_DL_FRAME_PARMS *frame_parms = &phy_vars_eNB->lte_frame_parms;
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  //  uint16_t subframe_offset;
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  int k;
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  uint16_t u;
  int16_t *Xu;
  uint16_t offset;
  int16_t Ncp;
  uint16_t first_nonzero_root_idx=0; 
  uint8_t new_dft=0;
  uint8_t aa;
  int32_t lev;
  int8_t levdB;
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  int fft_size,log2_ifft_size;
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  uint8_t nb_ant_rx = 1; //phy_vars_eNB->lte_frame_parms.nb_antennas_rx;
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  for (aa=0;aa<nb_ant_rx;aa++) {
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    prach[aa] = (int16_t*)&phy_vars_eNB->lte_eNB_common_vars.rxdata[0][aa][subframe*phy_vars_eNB->lte_frame_parms.samples_per_tti];
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    //    remove_625_Hz(phy_vars_eNB,prach[aa]);
  }
  // First compute physical root sequence
  if (restricted_set == 0) {
    if (Ncs_config>15) {
      LOG_E(PHY,"FATAL, Illegal Ncs_config for unrestricted format %d\n",Ncs_config);
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      mac_xface->macphy_exit("PRACH Illegal Ncs_config for unrestricted format");
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    }
    NCS = NCS_unrestricted[Ncs_config];      
  }
  else {
    if (Ncs_config>14) {
      LOG_E(PHY,"FATAL, Illegal Ncs_config for restricted format %d\n",Ncs_config);
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      mac_xface->macphy_exit("PRACH Illegal Ncs_config for restricted format");
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    }
    NCS = NCS_restricted[Ncs_config];
  }

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  start_meas(&phy_vars_eNB->rx_prach);

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  n_ra_prb = n_ra_prboffset;
  prach_root_sequence_map = (prach_fmt < 4) ? prach_root_sequence_map0_3 : prach_root_sequence_map4;
  
  if (frame_type == TDD) { // TDD
    // adjust n_ra_prboffset for frequency multiplexing (p.36 36.211)

    f_ra = tdd_preamble_map[prach_ConfigIndex][tdd_config].map[tdd_mapindex].f_ra;
      
    if (prach_fmt < 4) {
      if ((f_ra&1) == 0) {
	n_ra_prb = n_ra_prboffset + 6*(f_ra>>1);
      }    
      else {
	n_ra_prb = phy_vars_eNB->lte_frame_parms.N_RB_UL - 6 - n_ra_prboffset + 6*(f_ra>>1);
      }

    }
    else {
      if ((tdd_config >2) && (tdd_config<6)) 
	Nsp = 2;
      t1_ra = tdd_preamble_map[prach_ConfigIndex][tdd_config].map[0].t1_ra;
          
      if ((((Nf&1)*(2-Nsp)+t1_ra)&1) == 0) {
	n_ra_prb = 6*f_ra;
      }
      else {
	n_ra_prb = phy_vars_eNB->lte_frame_parms.N_RB_UL - 6*(f_ra+1);
      }

    }
  }

  //    printf("NCS %d\n",NCS);
  // PDP is oversampled, e.g. 1024 sample instead of 839
  // Adapt the NCS (zero-correlation zones) with oversampling factor e.g. 1024/839
  NCS2 = (N_ZC==839) ? ((NCS<<10)/839) : ((NCS<<8)/139);
  if (NCS2==0)
      NCS2 = N_ZC;

  switch (prach_fmt) {
  case 0:
    Ncp = 3168;
    break; 
  case 1:
  case 3:
    Ncp = 21024;
    break;
  case 2:
    Ncp = 6240;
    break;
  case 4:
    Ncp = 448;
    break;
  default:
    Ncp = 3168;
    break;
  }
  
  switch (phy_vars_eNB->lte_frame_parms.N_RB_UL) {
  case 6:
    Ncp>>=4;
    break;
  case 15:
    Ncp>>=3;
    break;
  case 25:
    Ncp>>=2;
    break;
  case 50:
    Ncp>>=1;
    break;
  case 75:
    Ncp=(Ncp*3)>>2;
    break;
  }

  //  nsymb = (frame_parms->Ncp==0) ? 14:12;
  //  subframe_offset = (unsigned int)frame_parms->ofdm_symbol_size*subframe*nsymb;

  preamble_offset_old = 99;

  for (preamble_index=0 ; preamble_index<64 ; preamble_index++) { 
    if (restricted_set == 0) {      
      // This is the relative offset in the root sequence table (5.7.2-4 from 36.211) for the given preamble index
      preamble_offset = ((NCS==0)? preamble_index : (preamble_index/(N_ZC/NCS)));
      if (preamble_offset != preamble_offset_old) {
	preamble_offset_old = preamble_offset;
	new_dft = 1;
	// This is the \nu corresponding to the preamble index 
	preamble_shift  = 0;
      }

      else {
	preamble_shift  -= NCS;
	if (preamble_shift < 0)
	  preamble_shift+=N_ZC;
      }
    }
    else { // This is the high-speed case
      new_dft = 0;
      // set preamble_offset to initial rootSequenceIndex and look if we need more root sequences for this
      // preamble index and find the corresponding cyclic shift
      // Check if all shifts for that root have been processed
      if (preamble_index0 == numshift) {
	not_found = 1;
	new_dft   = 1;
	preamble_index0 -= numshift;
	(preamble_offset==0 && numshift==0) ? (preamble_offset) : (preamble_offset++);
	while (not_found == 1) {
	  // current root depending on rootSequenceIndex 
	  u = prach_root_sequence_map[(rootSequenceIndex + preamble_offset)%N_ZC];
	  if ( (du[u]<(N_ZC/3)) && (du[u]>=NCS) ) {
	    n_shift_ra     = du[u]/NCS;
	    d_start        = (du[u]<<1) + (n_shift_ra * NCS);
	    n_group_ra     = N_ZC/d_start;
	    n_shift_ra_bar = max(0,(N_ZC-(du[u]<<1)-(n_group_ra*d_start))/N_ZC);
	  }
	  else if  ( (du[u]>=(N_ZC/3)) && (du[u]<=((N_ZC - NCS)>>1)) ) {
	    n_shift_ra     = (N_ZC - (du[u]<<1))/NCS;
	    d_start        = N_ZC - (du[u]<<1) + (n_shift_ra * NCS);
	    n_group_ra     = du[u]/d_start;
	    n_shift_ra_bar = min(n_shift_ra,max(0,(du[u]- (n_group_ra*d_start))/NCS));
	  }
	  else {
	    n_shift_ra     = 0;
	    n_shift_ra_bar = 0;
	  }
	  // This is the number of cyclic shifts for the current root u
	  numshift = (n_shift_ra*n_group_ra) + n_shift_ra_bar;
	  // skip to next root and recompute parameters if numshift==0
	  (numshift>0) ? (not_found = 0) : (preamble_offset++);
	}
      }
      preamble_shift = -((d_start * (preamble_index0/n_shift_ra)) + ((preamble_index0%n_shift_ra)*NCS)); // minus because the channel is h(t -\tau + Cv)
      (preamble_shift < 0) ? (preamble_shift+=N_ZC) : preamble_shift;
      preamble_index0++;
      if (preamble_index == 0)
              first_nonzero_root_idx = preamble_offset;
    }
  
    // Compute DFT of RX signal (conjugate input, results in conjugate output) for each new rootSequenceIndex
#ifdef PRACH_DEBUG
    LOG_I(PHY,"preamble index %d: offset %d, preamble shift %d\n",preamble_index,preamble_offset,preamble_shift);
#endif
    log2_ifft_size = 10;
    fft_size = 6144;
    if (new_dft == 1) {
      new_dft = 0;
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      Xu=(int16_t*)phy_vars_eNB->X_u[preamble_offset-first_nonzero_root_idx];
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      for (aa=0;aa<nb_ant_rx;aa++) {
	prach2 = prach[aa] + (Ncp<<1);

	k = (12*n_ra_prb) - 6*phy_vars_eNB->lte_frame_parms.N_RB_UL;
	if (k<0)
	  k+=(phy_vars_eNB->lte_frame_parms.ofdm_symbol_size);
	k*=12;
	k+=13; // phi + K/2
	//      k+=(12*phy_vars_eNB->lte_frame_parms.first_carrier_offset);
	//      if (k>(12*phy_vars_eNB->lte_frame_parms.ofdm_symbol_size))
	//	k-=(12*phy_vars_eNB->lte_frame_parms.ofdm_symbol_size);
            
	// printf("First prach carrier : k %d\n",k);
	k*=2;

	// do DFT
	switch (phy_vars_eNB->lte_frame_parms.N_RB_UL) {
	case 6:
	  if (prach_fmt == 4) {
	    fft(prach2,rxsigF[aa],twiddle_fft256,rev256,8,4,0);
	  }
	  else {
	    fft1536(prach2,rxsigF[aa]);
	    if (prach_fmt>1)
	      fft1536(prach2+3072,rxsigF[aa]+3072);
	  }
                
	  break;
	case 15:
	  if (prach_fmt == 4) {
	    fft(prach2,rxsigF[aa],twiddle_fft512,rev512,9,4,0);
	  }
	  else {
	    fft3072(prach2,rxsigF[aa]);
	    if (prach_fmt>1)
	      fft3072(prach2+6144,rxsigF[aa]+6144);
	  }
	  break;
	case 25:
	default:
	  if (prach_fmt == 4) {
	    fft(prach2,rxsigF[aa],twiddle_fft1024,rev1024,10,5,0);
	    fft_size = 1024;
	  }
	  else {
	    fft6144(prach2,rxsigF[aa]);
	    if (prach_fmt>1)
	      fft6144(prach2+12288,rxsigF[aa]+12288);
	    fft_size = 6144;
	  }
	  break;
	case 50:
	  if (prach_fmt == 4) {
	    fft(prach2,rxsigF[aa],twiddle_fft2048,rev2048,11,5,0);
	  }
	  else {
	    fft12288(prach2,rxsigF[aa]);
	    if (prach_fmt>1)
	      fft12288(prach2+24576,rxsigF[aa]+24576);
	  }
	  break;
	case 75:
	  if (prach_fmt == 4) {
	    fft3072(prach2,rxsigF[aa]);
	  }
	  else {
	    fft18432(prach2,rxsigF[aa]);
	    if (prach_fmt>1)
	      fft18432(prach2+36864,rxsigF[aa]+36864);
	  }
	  break;
	case 100:
	  if (prach_fmt == 4) {
	    fft(prach2,rxsigF[aa],twiddle_fft4096,rev4096,12,6,0);
	  }
	  else {
	    fft24576(prach2,rxsigF[aa]);
	    if (prach_fmt>1)
	      fft24576(prach2+49152,rxsigF[aa]+49152);
	  } 
	  break;
	}
            
	memset(prachF,0,4*1024);



	// write_output("prach_rx0.m","prach_rx0",prach[0],6144+792,1,1);	
	// write_output("prach_rx1.m","prach_rx1",prach[1],6144+792,1,1);	
	//write_output("prach_rxF0.m","prach_rxF0",rxsigF[0],24576,1,1);	
	// write_output("prach_rxF1.m","prach_rxF1",rxsigF[1],6144,1,1);	

	// Do componentwise product with Xu*
	for (offset=0;offset<(N_ZC<<1);offset+=2) {
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	  prachF[offset]   = (int16_t)(((int32_t)Xu[offset]*rxsigF[aa][k]   + (int32_t)Xu[offset+1]*rxsigF[aa][k+1])>>15);
	  prachF[offset+1] = (int16_t)(((int32_t)Xu[offset]*rxsigF[aa][k+1] - (int32_t)Xu[offset+1]*rxsigF[aa][k])>>15);
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	  /*
	  if (offset<16)
	    printf("Xu[%d] %d %d, rxsigF[%d][%d] %d %d\n",offset,Xu[offset],Xu[offset+1],aa,k,rxsigF[aa][k],rxsigF[aa][k+1]);
	  */
	  /*
			  mmtmpX0 = _mm_madd_epi16(*(__m128i*)&Xu[offset],*(__m128i*)&rxsigF[aa][k<<1]);
			  mmtmpX1 = _mm_shufflelo_epi16(*(__m128i*)&Xu[offset],_MM_SHUFFLE(2,3,0,1));
			  mmtmpX1 = _mm_shufflehi_epi16(mmtmpX1,_MM_SHUFFLE(2,3,0,1));
			  mmtmpX1 = _mm_sign_epi16(mmtmpX1,*(__m128i*)&conjugate[0]);
			  mmtmpX1 = _mm_madd_epi16(mmtmpX1,*(__m128i*)&rxsigF[aa][k<<1]);
			  mmtmpX0 = _mm_srai_epi32(mmtmpX0,15);
			  mmtmpX1 = _mm_srai_epi32(mmtmpX1,15);
			  mmtmpX2 = _mm_unpacklo_epi32(mmtmpX0,mmtmpX1);
			  mmtmpX3 = _mm_unpackhi_epi32(mmtmpX0,mmtmpX1);
			  *(__m128i*)&prachF[offset] = _mm_packs_epi32(mmtmpX2,mmtmpX3);
			  */
	  k+=2;
	  if (k==(12*2*phy_vars_eNB->lte_frame_parms.ofdm_symbol_size))
            k=0;
	}
	// Now do IFFT of size 1024 (N_ZC=839) or 256 (N_ZC=139)
	if (N_ZC == 839) {
	  log2_ifft_size = 10;
	  fft(prachF,prach_ifft[aa],twiddle_ifft1024,rev1024,10,10,0);
	}
	else {
	  fft(prachF,prach_ifft[aa],twiddle_ifft256,rev256,8,8,0);
	  log2_ifft_size = 8;      
	}

	// write_output("prach_rxF_comp0.m","prach_rxF_comp0",prachF,1024,1,1);
	// write_output("prach_rxF_comp1.m","prach_rxF_comp1",prachF,1024,1,1);
        
      }// antennas_rx

      // write_output("prach_ifft0.m","prach_t0",prach_ifft[0],2048,1,1);
      // write_output("prach_ifft1.m","prach_t1",prach_ifft[1],2048,1,1);

    } // new dft

    // check energy in nth time shift
    preamble_shift2 = ((preamble_shift==0) ? 0 : ((preamble_shift<<log2_ifft_size)/N_ZC));
    preamble_energy_list[preamble_index] = 0;
    for (i=0;i<NCS2;i++) {
      lev = 0;
      for (aa=0; aa<nb_ant_rx; aa++) {            
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	lev += (int32_t)prach_ifft[aa][(preamble_shift2+i)<<2]*prach_ifft[aa][(preamble_shift2+i)<<2] + (int32_t)prach_ifft[aa][1+((preamble_shift2+i)<<2)]*prach_ifft[aa][1+((preamble_shift2+i)<<2)];
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      }
      levdB = dB_fixed(lev);        

      if (levdB>preamble_energy_list[preamble_index] ) {
	preamble_energy_list[preamble_index]  = levdB;
	preamble_delay_list[preamble_index]   = (i*fft_size)>>log2_ifft_size;          
      } 
    }
#ifdef PRACH_DEBUG
    LOG_D(PHY,"[RAPROC] Preamble %d => %d dB, %d (shift %d (%d), NCS2 %d(%d), Ncp %d)\n",preamble_index,preamble_energy_list[preamble_index],preamble_delay_list[preamble_index],preamble_shift2,preamble_shift, NCS2,NCS,Ncp);
#endif
    //  exit(-1);
  }// preamble_index
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  stop_meas(&phy_vars_eNB->rx_prach);

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}

void init_prach_tables(int N_ZC) {

  int i,m;

  // Compute the modular multiplicative inverse 'iu' of u s.t. iu*u = 1 mod N_ZC
  ZC_inv[0] = 0;
  ZC_inv[1] = 1;
  for (i=2;i<N_ZC;i++) {
    for (m=2;m<N_ZC;m++)
      if (((i*m)%N_ZC) == 1) {
	ZC_inv[i] = m;
	break;
      }
#ifdef PRACH_DEBUG
    if (i<16)
      printf("i %d : inv %d\n",i,ZC_inv[i]);
#endif
  }

  // Compute quantized roots of unity
  for (i=0;i<N_ZC;i++) {
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    ru[i<<1]     = (int16_t)(floor(32767.0*cos(2*M_PI*(double)i/N_ZC))); 
    ru[1+(i<<1)] = (int16_t)(floor(32767.0*sin(2*M_PI*(double)i/N_ZC))); 
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#ifdef PRACH_DEBUG
    if (i<16)
      printf("i %d : runity %d,%d\n",i,ru[i<<1],ru[1+(i<<1)]);
#endif
  }
}

void compute_prach_seq(PRACH_CONFIG_COMMON *prach_config_common,
		       lte_frame_type_t frame_type,
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		       uint32_t X_u[64][839]) {
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  // Compute DFT of x_u => X_u[k] = x_u(inv(u)*k)^* X_u[k] = exp(j\pi u*inv(u)*k*(inv(u)*k+1)/N_ZC)
  unsigned int k,inv_u,i,NCS=0,num_preambles;
  int N_ZC;
  unsigned char prach_fmt = get_prach_fmt(prach_config_common->prach_ConfigInfo.prach_ConfigIndex,frame_type);
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  uint16_t *prach_root_sequence_map;
  uint16_t u, preamble_offset;
  uint16_t n_shift_ra,n_shift_ra_bar, d_start,n_group_ra,numshift;
  uint8_t not_found;
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  vcd_signal_dumper_dump_function_by_name(VCD_SIGNAL_DUMPER_FUNCTIONS_PHY_UE_COMPUTE_PRACH, VCD_FUNCTION_IN);

#ifdef PRACH_DEBUG
  LOG_I(PHY,"compute_prach_seq: NCS_config %d, prach_fmt %d\n",prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig, prach_fmt);
#endif

  if (prach_fmt>=4) {
    LOG_E(PHY, "PRACH sequence is only precomputed for prach_fmt<4 (have %d)\n");
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    mac_xface->macphy_exit("PRACH sequence is only precomputed for prach_fmt<4");
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  }

  N_ZC = (prach_fmt < 4) ? 839 : 139;
  //init_prach_tables(N_ZC); //moved to phy_init_lte_ue/eNB, since it takes to long in real-time

  (prach_fmt < 4) ? (prach_root_sequence_map = prach_root_sequence_map0_3) : (prach_root_sequence_map = prach_root_sequence_map4);    


#ifdef PRACH_DEBUG
  LOG_I(PHY,"compute_prach_seq: done init prach_tables\n");
#endif  
  
  if (prach_config_common->prach_ConfigInfo.highSpeedFlag== 0) {
      
#ifdef PRACH_DEBUG
    LOG_I(PHY,"Low speed prach : NCS_config %d\n",prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig);
#endif
    if (prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig>15) {
      LOG_E(PHY,"FATAL, Illegal Ncs_config for unrestricted format %d\n",prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig);
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      mac_xface->macphy_exit("PRACH Illegal Ncs_config for unrestricted format");
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    }
    else {
      NCS = NCS_unrestricted[prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig];
    }
    num_preambles = (NCS==0) ? 64 : ((64*NCS)/N_ZC);
    if (NCS>0) num_preambles++;
    preamble_offset = 0;
  }
  else {
      
#ifdef PRACH_DEBUG
    LOG_I(PHY,"high speed prach : NCS_config %d\n",prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig);
#endif
    if (prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig>14) {
      LOG_E(PHY,"FATAL, Illegal Ncs_config for restricted format %d\n",prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig);
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      mac_xface->macphy_exit("PRACH Illegal Ncs_config for restricted format");
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    }
    else {
      NCS = NCS_restricted[prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig];
      fill_du(prach_fmt);
    }
    num_preambles = 64; // compute ZC sequence for 64 possible roots
    // find first non-zero shift root (stored in preamble_offset)
    not_found = 1;
    preamble_offset = 0;
    while (not_found == 1) {
      // current root depending on rootSequenceIndex 
      u = prach_root_sequence_map[(prach_config_common->rootSequenceIndex + preamble_offset)%N_ZC];
      if ( (du[u]<(N_ZC/3)) && (du[u]>=NCS) ) {
	n_shift_ra     = du[u]/NCS;
	d_start        = (du[u]<<1) + (n_shift_ra * NCS);
	n_group_ra     = N_ZC/d_start;
	n_shift_ra_bar = max(0,(N_ZC-(du[u]<<1)-(n_group_ra*d_start))/N_ZC);
      }
      else if  ( (du[u]>=(N_ZC/3)) && (du[u]<=((N_ZC - NCS)>>1)) ) {
	n_shift_ra     = (N_ZC - (du[u]<<1))/NCS;
	d_start        = N_ZC - (du[u]<<1) + (n_shift_ra * NCS);
	n_group_ra     = du[u]/d_start;
	n_shift_ra_bar = min(n_shift_ra,max(0,(du[u]- (n_group_ra*d_start))/NCS));
      }
      else {
	n_shift_ra     = 0;
	n_shift_ra_bar = 0;
      }
      // This is the number of cyclic shifts for the current root u
      numshift = (n_shift_ra*n_group_ra) + n_shift_ra_bar;
      // skip to next root and recompute parameters if numshift==0
      (numshift>0) ? (not_found = 0) : (preamble_offset++);
    }
  }

#ifdef PRACH_DEBUG
  if (NCS>0)
    LOG_I(PHY,"Initializing %d preambles for PRACH (NCS_config %d, NCS %d, N_ZC/NCS %d)\n",num_preambles,prach_config_common->prach_ConfigInfo.zeroCorrelationZoneConfig,NCS,N_ZC/NCS);
#endif

  for (i=0;i<num_preambles;i++) {
    u = prach_root_sequence_map[(prach_config_common->rootSequenceIndex+i+preamble_offset)%N_ZC];
        
    inv_u = ZC_inv[u]; // multiplicative inverse of u
    

    // X_u[0] stores the first ZC sequence where the root u has a non-zero number of shifts
    // for the unrestricted case X_u[0] is the first root indicated by the rootSequenceIndex

    for (k=0;k<N_ZC;k++) {
        // 420 is the multiplicative inverse of 2 (required since ru is exp[j 2\pi n])
1279 1280
        X_u[i][k] = ((uint32_t*)ru)[(((k*(1+(inv_u*k)))%N_ZC)*420)%N_ZC];
        //        printf("X_u[%d][%d] (%d)(%d)(%d) : %d,%d\n",i,k,u*inv_u*k*(1+(inv_u*k)),u*inv_u*k*(1+(inv_u*k))/2,(u*inv_u*k*(1+(inv_u*k))/2)%N_ZC,((int16_t*)&X_u[i][k])[0],((int16_t*)&X_u[i][k])[1]);
1281 1282 1283 1284 1285
    }
  }
  vcd_signal_dumper_dump_function_by_name(VCD_SIGNAL_DUMPER_FUNCTIONS_PHY_UE_COMPUTE_PRACH, VCD_FUNCTION_OUT);

}