pucch.c 109 KB
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/*
 * Licensed to the OpenAirInterface (OAI) Software Alliance under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The OpenAirInterface Software Alliance licenses this file to You under
 * the OAI Public License, Version 1.0  (the "License"); you may not use this file
 * except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.openairinterface.org/?page_id=698
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 *-------------------------------------------------------------------------------
 * For more information about the OpenAirInterface (OAI) Software Alliance:
 *      contact@openairinterface.org
 */

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/*! \file PHY/LTE_TRANSPORT/pucch.c
* \brief Top-level routines for generating and decoding the PUCCH physical channel V8.6 2009-03
* \author R. Knopp
* \date 2011
* \version 0.1
* \company Eurecom
* \email: knopp@eurecom.fr
* \note
* \warning
*/
#include "PHY/defs.h"
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#include "PHY/extern.h" 
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#include "LAYER2/MAC/extern.h"

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#include "UTIL/LOG/log.h"
#include "UTIL/LOG/vcd_signal_dumper.h"

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#include "T.h"

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//uint8_t ncs_cell[20][7];
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//#define DEBUG_PUCCH_TX
//#define DEBUG_PUCCH_RX
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int16_t cfo_pucch_np[24*7] = {20787,-25330,27244,-18205,31356,-9512,32767,0,31356,9511,27244,18204,20787,25329,
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                              27244,-18205,30272,-12540,32137,-6393,32767,0,32137,6392,30272,12539,27244,18204,
                              31356,-9512,32137,-6393,32609,-3212,32767,0,32609,3211,32137,6392,31356,9511,
                              32767,0,32767,0,32767,0,32767,0,32767,0,32767,0,32767,0,
                              31356,9511,32137,6392,32609,3211,32767,0,32609,-3212,32137,-6393,31356,-9512,
                              27244,18204,30272,12539,32137,6392,32767,0,32137,-6393,30272,-12540,27244,-18205,
                              20787,25329,27244,18204,31356,9511,32767,0,31356,-9512,27244,-18205,20787,-25330
                             };
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int16_t cfo_pucch_ep[24*6] = {24278,-22005,29621,-14010,32412,-4808,32412,4807,29621,14009,24278,22004,
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                              28897,-15447,31356,-9512,32609,-3212,32609,3211,31356,9511,28897,15446,
                              31785,-7962,32412,-4808,32727,-1608,32727,1607,32412,4807,31785,7961,
                              32767,0,32767,0,32767,0,32767,0,32767,0,32767,0,
                              31785,7961,32412,4807,32727,1607,32727,-1608,32412,-4808,31785,-7962,
                              28897,15446,31356,9511,32609,3211,32609,-3212,31356,-9512,28897,-15447,
                              24278,22004,29621,14009,32412,4807,32412,-4808,29621,-14010,24278,-22005
                             };
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void init_ncs_cell(LTE_DL_FRAME_PARMS *frame_parms,uint8_t ncs_cell[20][7])
{
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  uint8_t ns,l,reset=1,i,N_UL_symb;
  uint32_t x1,x2,j=0,s=0;
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  N_UL_symb = (frame_parms->Ncp==0) ? 7 : 6;
  x2 = frame_parms->Nid_cell;

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  for (ns=0; ns<20; ns++) {
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    for (l=0; l<N_UL_symb; l++) {
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      ncs_cell[ns][l]=0;

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      for (i=0; i<8; i++) {
        if ((j%32) == 0) {
          s = lte_gold_generic(&x1,&x2,reset);
          //    printf("s %x\n",s);
          reset=0;
        }

        if (((s>>(j%32))&1)==1)
          ncs_cell[ns][l] += (1<<i);

        j++;
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      }
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#ifdef DEBUG_PUCCH_TX
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      printf("[PHY] PUCCH ncs_cell init (j %d): Ns %d, l %d => ncs_cell %d\n",j,ns,l,ncs_cell[ns][l]);
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#endif
    }

  }
}

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int16_t alpha_re[12] = {32767, 28377, 16383,     0,-16384,  -28378,-32768,-28378,-16384,    -1, 16383, 28377};
int16_t alpha_im[12] = {0,     16383, 28377, 32767, 28377,   16383,     0,-16384,-28378,-32768,-28378,-16384};
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int16_t W4[3][4] = {{32767, 32767, 32767, 32767},
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  {32767,-32768, 32767,-32768},
  {32767,-32768,-32768, 32767}
};
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int16_t W3_re[3][6] = {{32767, 32767, 32767},
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  {32767,-16384,-16384},
  {32767,-16384,-16384}
};
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int16_t W3_im[3][6] = {{0    ,0     ,0     },
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  {0    , 28377,-28378},
  {0    ,-28378, 28377}
};
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char pucch_format_string[6][20] = {"format 1\0","format 1a\0","format 1b\0","format 2\0","format 2a\0","format 2b\0"};

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/* PUCCH format3 >> */
#define D_I             0
#define D_Q             1
#define D_IQDATA        2
#define D_NSLT1SF       2
#define D_NSYM1SLT      7
#define D_NSYM1SF       2*7
#define D_NSC1RB        12
#define D_NRB1PUCCH     2
#define D_NPUCCH_SF5    5
#define D_NPUCCH_SF4    4

uint8_t chcod_tbl[128][48] = { {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},
  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1},
  {1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1},
  {0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0},
  {0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0},
  {1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1},
  {1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1},
  {0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0},
  {0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0},
  {1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1},
  {1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1},
  {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0},
  {0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0},
  {1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1},
  {1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1},
  {0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0},
  {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1},
  {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0},
  {1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0},
  {0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1},
  {0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1},
  {1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0},
  {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0},
  {0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1},
  {0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1},
  {1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0},
  {1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0},
  {0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1},
  {0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1},
  {1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0},
  {1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0},
  {0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1},
  {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1},
  {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0},
  {1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0},
  {0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1},
  {0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1},
  {1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0},
  {1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0},
  {0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1},
  {0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1},
  {1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0},
  {1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0},
  {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1},
  {0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1},
  {1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0},
  {1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0},
  {0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1},
  {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0},
  {1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1},
  {1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1},
  {0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0},
  {0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0},
  {1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1},
  {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1},
  {0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0},
  {0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0},
  {1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1},
  {1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1},
  {0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0},
  {0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0},
  {1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1},
  {1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1},
  {0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0},
  {0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1},
  {1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0},
  {1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0},
  {0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1},
  {0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1},
  {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0},
  {1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0},
  {0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1},
  {0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1},
  {1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0},
  {1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0},
  {0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1},
  {0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1},
  {1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0},
  {1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0},
  {0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1},
  {0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0},
  {1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1},
  {1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1},
  {0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0},
  {0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0},
  {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1},
  {1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1},
  {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0},
  {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0},
  {1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1},
  {1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1},
  {0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0},
  {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0},
  {1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1},
  {1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1},
  {0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0},
  {0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0},
  {1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1},
  {1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1},
  {0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0},
  {0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0},
  {1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1},
  {1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1},
  {0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0},
  {0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0},
  {1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1},
  {1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1},
  {0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0},
  {0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0},
  {1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1},
  {1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1},
  {0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0},
  {0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1},
  {1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0},
  {1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0},
  {0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1},
  {0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1},
  {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0},
  {1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0},
  {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1},
  {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1},
  {1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0},
  {1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0},
  {0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1},
  {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1},
  {1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0},
  {1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0},
  {0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1} };

// W5_TBL
int16_t W5_fmt3_re[5][5] = { {32767, 32767, 32767, 32767, 32767},
  {32767, 10125, -26509, -26509, 10125},
  {32767, -26509, 10125, 10125, -26509},
  {32767, -26509, 10125, 10125, -26509},
  {32767, 10125, -26509, -26509, 10125} };

int16_t W5_fmt3_im[5][5] = { {0, 0, 0, 0, 0},
  {0, 31163, 19259, -19259, -31163},
  {0, 19259, -31163, 31163, -19259},
  {0, -19259, 31163, -31163, 19259},
  {0, -31163, -19259, 19259, 31163} };

int16_t W4_fmt3[4][4] = { {32767, 32767, 32767, 32767},
  {32767, -32767, 32767, -32767},
  {32767, 32767, -32767, -32767},
  {32767, -32767, -32767, 32767} };

// W2 TBL
int16_t W2[2] = {32767, 32767};

// e^j*pai*floor (ncs_cell(ns,l)/64)/2
int16_t RotTBL_re[4] = {32767, 0, -32767, 0};
int16_t RotTBL_im[4] = {0, 32767, 0, -32767};

//np4_tbl, np5_tbl
uint8_t Np5_TBL[5] = {0, 3, 6, 8, 10};
uint8_t Np4_TBL[4] = {0, 3, 6, 9};

// alpha_TBL
int16_t alphaTBL_re[12] = {32767, 28377, 16383, 0, -16383, -28377, -32767, -28377, -16383, 0, 16383, 28377};
int16_t alphaTBL_im[12] = {0, 16383, 28377, 32767, 28377, 16383, 0, -16383, -28377, -32767, -28377, -16383};

/* PUCCH format3 << */

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void generate_pucch1x(int32_t **txdataF,
		      LTE_DL_FRAME_PARMS *frame_parms,
		      uint8_t ncs_cell[20][7],
		      PUCCH_FMT_t fmt,
		      PUCCH_CONFIG_DEDICATED *pucch_config_dedicated,
		      uint16_t n1_pucch,
		      uint8_t shortened_format,
		      uint8_t *payload,
		      int16_t amp,
		      uint8_t subframe)
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{

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  uint32_t u,v,n;
  uint32_t z[12*14],*zptr;
  int16_t d0;
  uint8_t ns,N_UL_symb,nsymb,n_oc,n_oc0,n_oc1;
  uint8_t c = (frame_parms->Ncp==0) ? 3 : 2;
  uint16_t nprime,nprime0,nprime1;
  uint16_t i,j,re_offset,thres,h;
  uint8_t Nprime_div_deltaPUCCH_Shift,Nprime,d;
  uint8_t m,l,refs;
  uint8_t n_cs,S,alpha_ind,rem;
  int16_t tmp_re,tmp_im,ref_re,ref_im,W_re=0,W_im=0;
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  int32_t *txptr;
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  uint32_t symbol_offset;
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  uint8_t deltaPUCCH_Shift          = frame_parms->pucch_config_common.deltaPUCCH_Shift;
  uint8_t NRB2                      = frame_parms->pucch_config_common.nRB_CQI;
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  uint8_t Ncs1                      = frame_parms->pucch_config_common.nCS_AN;
  uint8_t Ncs1_div_deltaPUCCH_Shift = Ncs1/deltaPUCCH_Shift;
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  LOG_D(PHY,"generate_pucch Start [deltaPUCCH_Shift %d, NRB2 %d, Ncs1_div_deltaPUCCH_Shift %d, n1_pucch %d]\n", deltaPUCCH_Shift, NRB2, Ncs1_div_deltaPUCCH_Shift,n1_pucch);


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  uint32_t u0 = (frame_parms->Nid_cell + frame_parms->pusch_config_common.ul_ReferenceSignalsPUSCH.grouphop[subframe<<1]) % 30;
  uint32_t u1 = (frame_parms->Nid_cell + frame_parms->pusch_config_common.ul_ReferenceSignalsPUSCH.grouphop[1+(subframe<<1)]) % 30;
  uint32_t v0=frame_parms->pusch_config_common.ul_ReferenceSignalsPUSCH.seqhop[subframe<<1];
  uint32_t v1=frame_parms->pusch_config_common.ul_ReferenceSignalsPUSCH.seqhop[1+(subframe<<1)];
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  if ((deltaPUCCH_Shift==0) || (deltaPUCCH_Shift>3)) {
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    printf("[PHY] generate_pucch: Illegal deltaPUCCH_shift %d (should be 1,2,3)\n",deltaPUCCH_Shift);
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    return;
  }

  if (Ncs1_div_deltaPUCCH_Shift > 7) {
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    printf("[PHY] generate_pucch: Illegal Ncs1_div_deltaPUCCH_Shift %d (should be 0...7)\n",Ncs1_div_deltaPUCCH_Shift);
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    return;
  }

  zptr = z;
  thres = (c*Ncs1_div_deltaPUCCH_Shift);
  Nprime_div_deltaPUCCH_Shift = (n1_pucch < thres) ? Ncs1_div_deltaPUCCH_Shift : (12/deltaPUCCH_Shift);
  Nprime = Nprime_div_deltaPUCCH_Shift * deltaPUCCH_Shift;

#ifdef DEBUG_PUCCH_TX
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  printf("[PHY] PUCCH: cNcs1/deltaPUCCH_Shift %d, Nprime %d, n1_pucch %d\n",thres,Nprime,n1_pucch);
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#endif

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  LOG_D(PHY,"[PHY] PUCCH: n1_pucch %d, thres %d Ncs1_div_deltaPUCCH_Shift %d (12/deltaPUCCH_Shift) %d Nprime_div_deltaPUCCH_Shift %d \n",
		              n1_pucch, thres, Ncs1_div_deltaPUCCH_Shift, (int)(12/deltaPUCCH_Shift), Nprime_div_deltaPUCCH_Shift);
  LOG_D(PHY,"[PHY] PUCCH: deltaPUCCH_Shift %d, Nprime %d\n",deltaPUCCH_Shift,Nprime);


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  N_UL_symb = (frame_parms->Ncp==0) ? 7 : 6;

  if (n1_pucch < thres)
    nprime0=n1_pucch;
  else
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    nprime0 = (n1_pucch - thres)%(12*c/deltaPUCCH_Shift);

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  if (n1_pucch >= thres)
    nprime1= ((c*(nprime0+1))%((12*c/deltaPUCCH_Shift)+1))-1;
  else {
    d = (frame_parms->Ncp==0) ? 2 : 0;
    h= (nprime0+d)%(c*Nprime_div_deltaPUCCH_Shift);
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#ifdef DEBUG_PUCCH_TX
    printf("[PHY] PUCCH: h %d, d %d\n",h,d);
#endif
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    nprime1 = (h/c) + (h%c)*Nprime_div_deltaPUCCH_Shift;
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  }

#ifdef DEBUG_PUCCH_TX
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  printf("[PHY] PUCCH: nprime0 %d nprime1 %d, %s, payload (%d,%d)\n",nprime0,nprime1,pucch_format_string[fmt],payload[0],payload[1]);
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#endif

  n_oc0 = nprime0/Nprime_div_deltaPUCCH_Shift;
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  if (frame_parms->Ncp==1)
    n_oc0<<=1;

  n_oc1 = nprime1/Nprime_div_deltaPUCCH_Shift;
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  if (frame_parms->Ncp==1)  // extended CP
    n_oc1<<=1;

#ifdef DEBUG_PUCCH_TX
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  printf("[PHY] PUCCH: noc0 %d noc1 %d\n",n_oc0,n_oc1);
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#endif

  nprime=nprime0;
  n_oc  =n_oc0;

  // loop over 2 slots
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  for (ns=(subframe<<1),u=u0,v=v0; ns<(2+(subframe<<1)); ns++,u=u1,v=v1) {
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    if ((nprime&1) == 0)
      S=0;  // 1
    else
      S=1;  // j

    //loop over symbols in slot
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    for (l=0; l<N_UL_symb; l++) {
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      // Compute n_cs (36.211 p. 18)
      n_cs = ncs_cell[ns][l];
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      if (frame_parms->Ncp==0) { // normal CP
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        n_cs = ((uint16_t)n_cs + (nprime*deltaPUCCH_Shift + (n_oc%deltaPUCCH_Shift))%Nprime)%12;
      } else {
        n_cs = ((uint16_t)n_cs + (nprime*deltaPUCCH_Shift + (n_oc>>1))%Nprime)%12;
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      }


      refs=0;
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      // Comput W_noc(m) (36.211 p. 19)
      if ((ns==(1+(subframe<<1))) && (shortened_format==1)) {  // second slot and shortened format

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        if (l<2) {                                         // data
          W_re=W3_re[n_oc][l];
          W_im=W3_im[n_oc][l];
        } else if ((l<N_UL_symb-2)&&(frame_parms->Ncp==0)) { // reference and normal CP
          W_re=W3_re[n_oc][l-2];
          W_im=W3_im[n_oc][l-2];
          refs=1;
        } else if ((l<N_UL_symb-2)&&(frame_parms->Ncp==1)) { // reference and extended CP
          W_re=W4[n_oc][l-2];
          W_im=0;
          refs=1;
        } else if ((l>=N_UL_symb-2)) {                      // data
          W_re=W3_re[n_oc][l-N_UL_symb+4];
          W_im=W3_im[n_oc][l-N_UL_symb+4];
        }
      } else {
        if (l<2) {                                         // data
          W_re=W4[n_oc][l];
          W_im=0;
        } else if ((l<N_UL_symb-2)&&(frame_parms->Ncp==0)) { // reference and normal CP
          W_re=W3_re[n_oc][l-2];
          W_im=W3_im[n_oc][l-2];
          refs=1;
        } else if ((l<N_UL_symb-2)&&(frame_parms->Ncp==1)) { // reference and extended CP
          W_re=W4[n_oc][l-2];
          W_im=0;
          refs=1;
        } else if ((l>=N_UL_symb-2)) {                     // data
          W_re=W4[n_oc][l-N_UL_symb+4];
          W_im=0;
        }
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      }

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      // multiply W by S(ns) (36.211 p.17). only for data, reference symbols do not have this factor
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      if ((S==1)&&(refs==0)) {
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        tmp_re = W_re;
        W_re = -W_im;
        W_im = tmp_re;
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      }

#ifdef DEBUG_PUCCH_TX
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      printf("[PHY] PUCCH: ncs[%d][%d]=%d, W_re %d, W_im %d, S %d, refs %d\n",ns,l,n_cs,W_re,W_im,S,refs);
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#endif
      alpha_ind=0;
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      // compute output sequence

      for (n=0; n<12; n++) {

        // this is r_uv^alpha(n)
        tmp_re = (int16_t)(((int32_t)alpha_re[alpha_ind] * ul_ref_sigs[u][v][0][n<<1] - (int32_t)alpha_im[alpha_ind] * ul_ref_sigs[u][v][0][1+(n<<1)])>>15);
        tmp_im = (int16_t)(((int32_t)alpha_re[alpha_ind] * ul_ref_sigs[u][v][0][1+(n<<1)] + (int32_t)alpha_im[alpha_ind] * ul_ref_sigs[u][v][0][n<<1])>>15);

        // this is S(ns)*w_noc(m)*r_uv^alpha(n)
        ref_re = (tmp_re*W_re - tmp_im*W_im)>>15;
        ref_im = (tmp_re*W_im + tmp_im*W_re)>>15;

        if ((l<2)||(l>=(N_UL_symb-2))) { //these are PUCCH data symbols
          switch (fmt) {
          case pucch_format1:   //OOK 1-bit

            ((int16_t *)&zptr[n])[0] = ((int32_t)amp*ref_re)>>15;
            ((int16_t *)&zptr[n])[1] = ((int32_t)amp*ref_im)>>15;

            break;

          case pucch_format1a:  //BPSK 1-bit
            d0 = (payload[0]&1)==0 ? amp : -amp;
            ((int16_t *)&zptr[n])[0] = ((int32_t)d0*ref_re)>>15;
            ((int16_t *)&zptr[n])[1] = ((int32_t)d0*ref_im)>>15;
            //      printf("d0 %d\n",d0);
            break;

          case pucch_format1b:  //QPSK 2-bits (Table 5.4.1-1 from 36.211, pg. 18)
            if (((payload[0]&1)==0) && ((payload[1]&1)==0))  {// 1
              ((int16_t *)&zptr[n])[0] = ((int32_t)amp*ref_re)>>15;
              ((int16_t *)&zptr[n])[1] = ((int32_t)amp*ref_im)>>15;
            } else if (((payload[0]&1)==0) && ((payload[1]&1)==1))  { // -j
              ((int16_t *)&zptr[n])[0] = ((int32_t)amp*ref_im)>>15;
              ((int16_t *)&zptr[n])[1] = (-(int32_t)amp*ref_re)>>15;
            } else if (((payload[0]&1)==1) && ((payload[1]&1)==0))  { // j
              ((int16_t *)&zptr[n])[0] = (-(int32_t)amp*ref_im)>>15;
              ((int16_t *)&zptr[n])[1] = ((int32_t)amp*ref_re)>>15;
            } else  { // -1
              ((int16_t *)&zptr[n])[0] = (-(int32_t)amp*ref_re)>>15;
              ((int16_t *)&zptr[n])[1] = (-(int32_t)amp*ref_im)>>15;
            }

            break;

          case pucch_format2:
          case pucch_format2a:
          case pucch_format2b:
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            AssertFatal(1==0,"should not go here\n");
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            break;
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          case pucch_format3:
            fprintf(stderr, "PUCCH format 3 not handled\n");
            abort();
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          } // switch fmt
        } else { // These are PUCCH reference symbols

          ((int16_t *)&zptr[n])[0] = ((int32_t)amp*ref_re)>>15;
          ((int16_t *)&zptr[n])[1] = ((int32_t)amp*ref_im)>>15;
          //    printf("ref\n");
        }

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#ifdef DEBUG_PUCCH_TX
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        printf("[PHY] PUCCH subframe %d z(%d,%d) => %d,%d, alpha(%d) => %d,%d\n",subframe,l,n,((int16_t *)&zptr[n])[0],((int16_t *)&zptr[n])[1],
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            alpha_ind,alpha_re[alpha_ind],alpha_im[alpha_ind]);
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#endif
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        alpha_ind = (alpha_ind + n_cs)%12;
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      } // n
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      zptr+=12;
    } // l

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    nprime=nprime1;
    n_oc  =n_oc1;
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  } // ns

  rem = ((((12*Ncs1_div_deltaPUCCH_Shift)>>3)&7)>0) ? 1 : 0;

  m = (n1_pucch < thres) ? NRB2 : (((n1_pucch-thres)/(12*c/deltaPUCCH_Shift))+NRB2+((deltaPUCCH_Shift*Ncs1_div_deltaPUCCH_Shift)>>3)+rem);

#ifdef DEBUG_PUCCH_TX
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  printf("[PHY] PUCCH: m %d\n",m);
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#endif
  nsymb = N_UL_symb<<1;

  //for (j=0,l=0;l<(nsymb-1);l++) {
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  for (j=0,l=0; l<(nsymb); l++) {
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    if ((l<(nsymb>>1)) && ((m&1) == 0))
      re_offset = (m*6) + frame_parms->first_carrier_offset;
    else if ((l<(nsymb>>1)) && ((m&1) == 1))
      re_offset = frame_parms->first_carrier_offset + (frame_parms->N_RB_DL - (m>>1) - 1)*12;
    else if ((m&1) == 0)
      re_offset = frame_parms->first_carrier_offset + (frame_parms->N_RB_DL - (m>>1) - 1)*12;
    else
      re_offset = ((m-1)*6) + frame_parms->first_carrier_offset;

    if (re_offset > frame_parms->ofdm_symbol_size)
      re_offset -= (frame_parms->ofdm_symbol_size);

    symbol_offset = (unsigned int)frame_parms->ofdm_symbol_size*(l+(subframe*nsymb));
    txptr = &txdataF[0][symbol_offset];

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    for (i=0; i<12; i++,j++) {
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      txptr[re_offset++] = z[j];
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      if (re_offset==frame_parms->ofdm_symbol_size)
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        re_offset = 0;

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#ifdef DEBUG_PUCCH_TX
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      printf("[PHY] PUCCH subframe %d (%d,%d,%d,%d) => %d,%d\n",subframe,l,i,re_offset-1,m,((int16_t *)&z[j])[0],((int16_t *)&z[j])[1]);
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#endif
    }
  }

}

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void generate_pucch_emul(PHY_VARS_UE *ue,
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			 UE_rxtx_proc_t *proc,
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                         PUCCH_FMT_t format,
                         uint8_t ncs1,
                         uint8_t *pucch_payload,
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                         uint8_t sr)

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{
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  int subframe = proc->subframe_tx;
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  UE_transport_info[ue->Mod_id][ue->CC_id].cntl.pucch_flag    = format;
  UE_transport_info[ue->Mod_id][ue->CC_id].cntl.pucch_Ncs1    = ncs1;
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  UE_transport_info[ue->Mod_id][ue->CC_id].cntl.sr            = sr;
  // the value of ue->pucch_sel[subframe] is set by get_n1_pucch
  UE_transport_info[ue->Mod_id][ue->CC_id].cntl.pucch_sel      = ue->pucch_sel[subframe];
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  // LOG_I(PHY,"subframe %d emu tx pucch_sel is %d sr is %d \n", subframe, UE_transport_info[ue->Mod_id].cntl.pucch_sel, sr);
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  if (format == pucch_format1a) {
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    ue->pucch_payload[0] = pucch_payload[0];
    UE_transport_info[ue->Mod_id][ue->CC_id].cntl.pucch_payload = pucch_payload[0];
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  } else if (format == pucch_format1b) {
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    ue->pucch_payload[0] = pucch_payload[0] + (pucch_payload[1]<<1);
    UE_transport_info[ue->Mod_id][ue->CC_id].cntl.pucch_payload = pucch_payload[0] + (pucch_payload[1]<<1);
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  } else if (format == pucch_format1) {
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    //    LOG_D(PHY,"[UE %d] Frame %d subframe %d Generating PUCCH for SR %d\n",ue->Mod_id,proc->frame_tx,subframe,sr);
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  }
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  ue->sr[subframe] = sr;
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}

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inline void pucch2x_scrambling(LTE_DL_FRAME_PARMS *fp,int subframe,uint16_t rnti,uint32_t B,uint8_t *btilde) __attribute__((always_inline));
inline void pucch2x_scrambling(LTE_DL_FRAME_PARMS *fp,int subframe,uint16_t rnti,uint32_t B,uint8_t *btilde) {

  uint32_t x1, x2, s=0;
  int i;
  uint8_t c;

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  x2 = (rnti) + ((uint32_t)(1+subframe)<<16)*(1+(fp->Nid_cell<<1)); //this is c_init in 36.211 Sec 6.3.1
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  s = lte_gold_generic(&x1, &x2, 1);
  for (i=0;i<19;i++) {
    c = (uint8_t)((s>>i)&1);
    btilde[i] = (((B>>i)&1) ^ c);
  }
}

inline void pucch2x_modulation(uint8_t *btilde,int16_t *d,int16_t amp) __attribute__((always_inline));
inline void pucch2x_modulation(uint8_t *btilde,int16_t *d,int16_t amp) {

  int i;

  for (i=0;i<20;i++) 
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    d[i] = btilde[i] == 1 ? -amp : amp;
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}

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uint32_t pucch_code[13] = {0xFFFFF,0x5A933,0x10E5A,0x6339C,0x73CE0,
			   0xFFC00,0xD8E64,0x4F6B0,0x218EC,0x1B746,
			   0x0FFFF,0x33FFF,0x3FFFC};

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void generate_pucch2x(int32_t **txdataF,
		      LTE_DL_FRAME_PARMS *fp,
		      uint8_t ncs_cell[20][7],
		      PUCCH_FMT_t fmt,
		      PUCCH_CONFIG_DEDICATED *pucch_config_dedicated,
		      uint16_t n2_pucch,
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		      uint8_t *payload,
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		      int A,
		      int B2,
		      int16_t amp,
		      uint8_t subframe,
		      uint16_t rnti) {

  int i,j;
  uint32_t B=0;
  uint8_t btilde[20];
  int16_t d[22];
  uint8_t deltaPUCCH_Shift          = fp->pucch_config_common.deltaPUCCH_Shift;
  uint8_t NRB2                      = fp->pucch_config_common.nRB_CQI;
  uint8_t Ncs1                      = fp->pucch_config_common.nCS_AN;

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  uint32_t u0 = fp->pucch_config_common.grouphop[subframe<<1];
  uint32_t u1 = fp->pucch_config_common.grouphop[1+(subframe<<1)];
  uint32_t v0 = fp->pusch_config_common.ul_ReferenceSignalsPUSCH.seqhop[subframe<<1];
  uint32_t v1 = fp->pusch_config_common.ul_ReferenceSignalsPUSCH.seqhop[1+(subframe<<1)];

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  uint32_t z[12*14],*zptr;
  uint32_t u,v,n;
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  uint8_t ns,N_UL_symb,nsymb_slot0,nsymb_pertti;
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  uint32_t nprime,l,n_cs;
  int alpha_ind,data_ind;
  int16_t ref_re,ref_im;
  int m,re_offset,symbol_offset;
  int32_t *txptr;

  if ((deltaPUCCH_Shift==0) || (deltaPUCCH_Shift>3)) {
    printf("[PHY] generate_pucch: Illegal deltaPUCCH_shift %d (should be 1,2,3)\n",deltaPUCCH_Shift);
    return;
  }

  if (Ncs1 > 7) {
    printf("[PHY] generate_pucch: Illegal Ncs1 %d (should be 0...7)\n",Ncs1);
    return;
  }

  // pucch2x_encoding
  for (i=0;i<A;i++)
    if ((*payload & (1<<i)) > 0)
      B=B^pucch_code[i];

  // scrambling
  pucch2x_scrambling(fp,subframe,rnti,B,btilde);
  // modulation
  pucch2x_modulation(btilde,d,amp);

  // add extra symbol for 2a/2b
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  d[20]=0;
  d[21]=0;
  if (fmt==pucch_format2a)
    d[20] = (B2 == 0) ? amp : -amp;
  else if (fmt==pucch_format2b) {
    switch (B2) {
    case 0:
      d[20] = amp;
      break;
    case 1:
      d[21] = -amp;
      break;
    case 2:
      d[21] = amp;
      break;
    case 3:
      d[20] = -amp;
      break;
    default:
      AssertFatal(1==0,"Illegal modulation symbol %d for PUCCH %s\n",B2,pucch_format_string[fmt]);
      break;
    }
  }
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#ifdef DEBUG_PUCCH_TX
  printf("[PHY] PUCCH2x: n2_pucch %d\n",n2_pucch);
#endif

  N_UL_symb = (fp->Ncp==0) ? 7 : 6;
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  data_ind  = 0;
  zptr      = z;
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  nprime    = 0;
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  for (ns=(subframe<<1),u=u0,v=v0; ns<(2+(subframe<<1)); ns++,u=u1,v=v1) {

    if ((ns&1) == 0)
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        nprime = (n2_pucch < 12*NRB2) ?
                n2_pucch % 12 :
                (n2_pucch+Ncs1 + 1)%12;
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    else {
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        nprime = (n2_pucch < 12*NRB2) ?
                ((12*(nprime+1)) % 13)-1 :
                (10-n2_pucch)%12;
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    }
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    //loop over symbols in slot
    for (l=0; l<N_UL_symb; l++) {
      // Compute n_cs (36.211 p. 18)
      n_cs = (ncs_cell[ns][l]+nprime)%12;

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      alpha_ind = 0;
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      for (n=0; n<12; n++)
      {
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          // this is r_uv^alpha(n)
          ref_re = (int16_t)(((int32_t)alpha_re[alpha_ind] * ul_ref_sigs[u][v][0][n<<1] - (int32_t)alpha_im[alpha_ind] * ul_ref_sigs[u][v][0][1+(n<<1)])>>15);
          ref_im = (int16_t)(((int32_t)alpha_re[alpha_ind] * ul_ref_sigs[u][v][0][1+(n<<1)] + (int32_t)alpha_im[alpha_ind] * ul_ref_sigs[u][v][0][n<<1])>>15);

          if ((l!=1)&&(l!=5)) { //these are PUCCH data symbols
              ((int16_t *)&zptr[n])[0] = ((int32_t)d[data_ind]*ref_re - (int32_t)d[data_ind+1]*ref_im)>>15;
              ((int16_t *)&zptr[n])[1] = ((int32_t)d[data_ind]*ref_im + (int32_t)d[data_ind+1]*ref_re)>>15;
              //LOG_I(PHY,"slot %d ofdm# %d ==> d[%d,%d] \n",ns,l,data_ind,n);
          }
          else {
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              if ((l==1) || ( (l==5) && (fmt==pucch_format2) ))
              {
                  ((int16_t *)&zptr[n])[0] = ((int32_t)amp*ref_re>>15);
                  ((int16_t *)&zptr[n])[1] = ((int32_t)amp*ref_im>>15);
              }
              // l == 5 && pucch format 2a
              else if (fmt==pucch_format2a)
              {
                  ((int16_t *)&zptr[n])[0] = ((int32_t)d[20]*ref_re>>15);
                  ((int16_t *)&zptr[n])[1] = ((int32_t)d[21]*ref_im>>15);
              }
              // l == 5 && pucch format 2b
              else if (fmt==pucch_format2b)
              {
                  ((int16_t *)&zptr[n])[0] = ((int32_t)d[20]*ref_re>>15);
                  ((int16_t *)&zptr[n])[1] = ((int32_t)d[21]*ref_im>>15);
              }
          } // l==1 || l==5
      alpha_ind = (alpha_ind + n_cs)%12;
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      } // n
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      zptr+=12;

      if ((l!=1)&&(l!=5))  //these are PUCCH data symbols so increment data index
	     data_ind+=2;
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    } // l
  } //ns

  m = n2_pucch/12;

#ifdef DEBUG_PUCCH_TX
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  LOG_D(PHY,"[PHY] PUCCH: n2_pucch %d m %d\n",n2_pucch,m);
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#endif
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  nsymb_slot0  = ((fp->Ncp==0) ? 7 : 6);
  nsymb_pertti = nsymb_slot0 << 1;

  //nsymb = nsymb_slot0<<1;
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  //for (j=0,l=0;l<(nsymb-1);l++) {
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  for (j=0,l=0; l<(nsymb_pertti); l++) {

    if ((l<nsymb_slot0) && ((m&1) == 0))
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      re_offset = (m*6) + fp->first_carrier_offset;
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    else if ((l<nsymb_slot0) && ((m&1) == 1))
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      re_offset = fp->first_carrier_offset + (fp->N_RB_DL - (m>>1) - 1)*12;
    else if ((m&1) == 0)
      re_offset = fp->first_carrier_offset + (fp->N_RB_DL - (m>>1) - 1)*12;
    else
      re_offset = ((m-1)*6) + fp->first_carrier_offset;

    if (re_offset > fp->ofdm_symbol_size)
      re_offset -= (fp->ofdm_symbol_size);

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    symbol_offset = (unsigned int)fp->ofdm_symbol_size*(l+(subframe*nsymb_pertti));
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    txptr = &txdataF[0][symbol_offset];

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    //LOG_I(PHY,"ofdmSymb %d/%d, firstCarrierOffset %d, symbolOffset[sfn %d] %d, reOffset %d, &txptr: %x \n", l, nsymb, fp->first_carrier_offset, subframe, symbol_offset, re_offset, &txptr[0]);

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    for (i=0; i<12; i++,j++) {
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      txptr[re_offset] = z[j];

      re_offset++;
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      if (re_offset==fp->ofdm_symbol_size)
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          re_offset -= (fp->ofdm_symbol_size);
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#ifdef DEBUG_PUCCH_TX
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      LOG_D(PHY,"[PHY] PUCCH subframe %d (%d,%d,%d,%d) => %d,%d\n",subframe,l,i,re_offset-1,m,((int16_t *)&z[j])[0],((int16_t *)&z[j])[1]);
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#endif
    }
  }
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}

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/* PUCCH format3 >> */
/* DFT */
void pucchfmt3_Dft( int16_t *x, int16_t *y )
{
  int16_t i, k;
  int16_t tmp[2];
  int16_t calctmp[D_NSC1RB*2]={0};

  for (i=0; i<D_NSC1RB; i++) {
    for(k=0; k<D_NSC1RB; k++) {
      tmp[0] = alphaTBL_re[(12-((i*k)%12))%12];
      tmp[1] = alphaTBL_im[(12-((i*k)%12))%12];

      calctmp[2*i] += (((int32_t)x[2*k] * tmp[0] - (int32_t)x[2*k+1] * tmp[1])>>15);
      calctmp[2*i+1] += (((int32_t)x[2*k+1] * tmp[0] + (int32_t)x[2*k] * tmp[1])>>15);
    }
    y[2*i] = (int16_t)( (double) calctmp[2*i] / sqrt(D_NSC1RB));
    y[2*i+1] = (int16_t)((double) calctmp[2*i+1] / sqrt(D_NSC1RB));
  }
}

void generate_pucch3x(int32_t **txdataF,
                    LTE_DL_FRAME_PARMS *frame_parms,
                    uint8_t ncs_cell[20][7],
                    PUCCH_FMT_t fmt,
                    PUCCH_CONFIG_DEDICATED *pucch_config_dedicated,
                    uint16_t n3_pucch,
                    uint8_t shortened_format,
                    uint8_t *payload,
                    int16_t amp,
                    uint8_t subframe,
                    uint16_t rnti)
{

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  uint32_t u, v;
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  uint16_t i, j, re_offset;
  uint32_t z[12*14], *zptr;
  uint32_t y_tilda[12*14]={}, *y_tilda_ptr;
  uint8_t ns, nsymb, n_oc, n_oc0, n_oc1;
  uint8_t N_UL_symb = (frame_parms->Ncp==0) ? 7 : 6;
  uint8_t m, l;
  uint8_t n_cs;
  int16_t tmp_re, tmp_im, W_re=0, W_im=0;
  int32_t *txptr;
  uint32_t symbol_offset;
  
  uint32_t u0 = (frame_parms->Nid_cell + frame_parms->pusch_config_common.ul_ReferenceSignalsPUSCH.grouphop[subframe<<1]) % 30;
  uint32_t u1 = (frame_parms->Nid_cell + frame_parms->pusch_config_common.ul_ReferenceSignalsPUSCH.grouphop[1+(subframe<<1)]) % 30;
  uint32_t v0=frame_parms->pusch_config_common.ul_ReferenceSignalsPUSCH.seqhop[subframe<<1];
  uint32_t v1=frame_parms->pusch_config_common.ul_ReferenceSignalsPUSCH.seqhop[1+(subframe<<1)];

  // variables for channel coding
  uint8_t chcod_tbl_idx = 0;
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  //uint8_t chcod_dt[48] = {};
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  // variables for Scrambling
  uint32_t cinit = 0;
  uint32_t x1;
  uint32_t s,s0,s1;
  uint8_t  C[48] ={};
  uint8_t  scr_dt[48]={};

  // variables for Modulation
  int16_t d_re[24]={};
  int16_t d_im[24]={};

  // variables for orthogonal sequence selection
  uint8_t N_PUCCH_SF0 = 5;
  uint8_t N_PUCCH_SF1 = (shortened_format==0)? 5:4;
  uint8_t first_slot  = 0;
  int16_t rot_re=0;
  int16_t rot_im=0;

  uint8_t dt_offset;
  uint8_t sym_offset;
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  int16_t y_re[14][12]; //={0};
  int16_t y_im[14][12]; //={0};
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  // DMRS
  uint8_t alpha_idx=0;
  uint8_t m_alpha_idx=0;

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  // TODO
  // "SR+ACK/NACK" length is only 7 bits.
  // This restriction will be lifted in the future.
  // "CQI/PMI/RI+ACK/NACK" will be supported in the future.

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