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Commit 8cda0a0f authored by knopp's avatar knopp
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16-bit integer optimization, reduced memcpy after list sorting

parent 8b8e6e12
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Showing with 724 additions and 209 deletions
openair1/PHY/CODING/TESTBENCH/polartest.c
View file @ 8cda0a0f
......@@ -18,6 +18,7 @@ int main(int argc, char *argv[]) {
time_stats_t polar_decoder_init,polar_rate_matching,decoding,bit_extraction,deinterleaving;
time_stats_t path_metric,sorting,update_LLR;
opp_enabled=1;
int decoder_int8=0;
cpu_freq_GHz = get_cpu_freq_GHz();
reset_meas(&timeEncoder);
reset_meas(&timeDecoder);
......@@ -30,7 +31,7 @@ int main(int argc, char *argv[]) {
reset_meas(&path_metric);
reset_meas(&update_LLR);
randominit(0);
randominit(1234);
//Default simulation values (Aim for iterations = 1000000.)
int itr, iterations = 1000, arguments, polarMessageType = 1; //0=DCI, 1=PBCH, 2=UCI
double SNRstart = -20.0, SNRstop = 0.0, SNRinc= 0.5; //dB
......@@ -43,7 +44,7 @@ int main(int argc, char *argv[]) {
uint8_t decoderListSize = 8, pathMetricAppr = 0; //0 --> eq. (8a) and (11b), 1 --> eq. (9) and (12)
while ((arguments = getopt (argc, argv, "s:d:f:m:i:l:a:h")) != -1)
while ((arguments = getopt (argc, argv, "s:d:f:m:i:l:a:h:q")) != -1)
switch (arguments)
{
case 's':
......@@ -75,6 +76,10 @@ int main(int argc, char *argv[]) {
pathMetricAppr = (uint8_t) atoi(optarg);
break;
case 'q':
decoder_int8=1;
break;
case 'h':
printf("./polartest -s SNRstart -d SNRinc -f SNRstop -m [0=DCI|1=PBCH|2=UCI] -i iterations -l decoderListSize -a pathMetricAppr\n");
exit(-1);
......@@ -131,6 +136,7 @@ int main(int argc, char *argv[]) {
double *modulatedInput = malloc (sizeof(double) * coderLength); //channel input
double *channelOutput = malloc (sizeof(double) * coderLength); //add noise
int16_t *channelOutput_int8 = malloc (sizeof(int16_t) * coderLength); //add noise
uint8_t *estimatedOutput = malloc(sizeof(uint8_t) * testLength); //decoder output
t_nrPolar_params nrPolar_params;
......@@ -159,12 +165,19 @@ int main(int argc, char *argv[]) {
modulatedInput[i]=(-1)/sqrt(2);
channelOutput[i] = modulatedInput[i] + (gaussdouble(0.0,1.0) * (1/sqrt(2*SNR_lin)));
if (decoder_int8==1) {
if (channelOutput[i] > 1024) channelOutput_int8[i] = 32768;
else if (channelOutput[i] < -1023) channelOutput_int8[i] = -32767;
else channelOutput_int8[i] = (int16_t) (32*channelOutput[i]);
}
}
start_meas(&timeDecoder);
decoderState = polar_decoder(channelOutput, estimatedOutput, &nrPolar_params, decoderListSize, aPrioriArray, pathMetricAppr,&polar_decoder_init,&polar_rate_matching,&decoding,&bit_extraction,&deinterleaving,&sorting,&path_metric,&update_LLR);
stop_meas(&timeDecoder);
if (decoder_int8==0) decoderState = polar_decoder(channelOutput, estimatedOutput, &nrPolar_params, decoderListSize, aPrioriArray, pathMetricAppr,&polar_decoder_init,&polar_rate_matching,&decoding,&bit_extraction,&deinterleaving,&sorting,&path_metric,&update_LLR);
else
decoderState = polar_decoder_int8(channelOutput_int8, estimatedOutput, &nrPolar_params, decoderListSize, &polar_decoder_init,&polar_rate_matching,&decoding,&bit_extraction,&deinterleaving,&sorting,&path_metric,&update_LLR);
stop_meas(&timeDecoder);
//calculate errors
if (decoderState==-1) {
......@@ -207,9 +220,9 @@ int main(int argc, char *argv[]) {
printf("decoding decoding %9.3fus\n",decoding.diff/(cpu_freq_GHz*1000.0*decoding.trials));
printf("decoding bit_extraction %9.3fus\n",bit_extraction.diff/(cpu_freq_GHz*1000.0*bit_extraction.trials));
printf("decoding deinterleaving %9.3fus\n",deinterleaving.diff/(cpu_freq_GHz*1000.0*deinterleaving.trials));
printf("decoding path_metric %9.3fus\n",path_metric.diff/(cpu_freq_GHz*1000.0*deinterleaving.trials));
printf("decoding sorting %9.3fus\n",sorting.diff/(cpu_freq_GHz*1000.0*deinterleaving.trials));
printf("decoding updateLLR %9.3fus\n",update_LLR.diff/(cpu_freq_GHz*1000.0*deinterleaving.trials));
printf("decoding path_metric %9.3fus\n",path_metric.diff/(cpu_freq_GHz*1000.0*decoding.trials));
printf("decoding sorting %9.3fus\n",sorting.diff/(cpu_freq_GHz*1000.0*decoding.trials));
printf("decoding updateLLR %9.3fus\n",update_LLR.diff/(cpu_freq_GHz*1000.0*decoding.trials));
blockErrorCumulative = 0; bitErrorCumulative = 0;
timeEncoderCumulative = 0; timeDecoderCumulative = 0;
}
......
openair1/PHY/CODING/nrPolar_tools/nr_polar_decoding_tools.c
View file @ 8cda0a0f
......@@ -33,7 +33,7 @@ inline void computeLLR(double llr[1+nmax][Nmax], uint16_t row, uint16_t col,
#ifdef SHOWCOMP
printf("computeLLR (%d,%d,%d,%d)\n",row,col,offset,i);
printf("computeLLR (%d,%d,%d)\n",row,col,offset);
#endif
a = llr[col + 1][row];
b = llr[col+1][row + offset];
......@@ -45,6 +45,37 @@ inline void computeLLR(double llr[1+nmax][Nmax], uint16_t row, uint16_t col,
} else { //eq. (8a)
llr[col][row] = log((exp(a + b) + 1) / (exp(a) + exp(b)));
}
// printf("LLR (a %f, b %f): llr[%d][%d] %f\n",32*a,32*b,col,row,32*llr[col][row]);
}
inline void computeLLR_int8(int16_t llr[1+nmax][Nmax], uint16_t row, uint16_t col,
uint16_t offset) __attribute__((always_inline));
inline void computeLLR_int8(int16_t llr[1+nmax][Nmax], uint16_t row, uint16_t col,
uint16_t offset) {
int16_t a;
int16_t b;
int16_t absA,absB;
int16_t maska,maskb;
int16_t minabs;
#ifdef SHOWCOMP
printf("computeLLR_int8 (%d,%d,%d)\n",row,col,offset);
#endif
a = llr[col + 1][row];
b = llr[col+1][row + offset];
// printf("LLR: a %d, b %d\n",a,b);
maska = a>>15;
maskb = b>>15;
absA = (a+maska)^maska;
absB = (b+maskb)^maskb;
// printf("LLR: absA %d, absB %d\n",absA,absB);
minabs = absA<absB ? absA : absB;
if ((maska^maskb) == 0)
llr[col][row] = minabs;
else
llr[col][row] = -minabs;
// printf("LLR (a %d, b %d): llr[%d][%d] %d\n",a,b,col,row,llr[col][row]);
}
......@@ -56,19 +87,46 @@ void updateLLR(decoder_list_t **dlist,uint8_t **llrU, uint8_t **bitU,
if (llrU[row-offset][col+1]==0) updateLLR(dlist, llrU, bitU, listSize, (row-offset), (col+1), xlen, ylen, approximation);
if (llrU[row][col+1]==0) updateLLR(dlist, llrU, bitU, listSize, row, (col+1), xlen, ylen, approximation);
for (uint8_t i=0; i<listSize; i++) {
#ifdef SHOWCOMP
printf("updating LLR (%d,%d,%d) (bit %d,%d,%d, llr0 %d,%d,%d, llr1 %d,%d,%d \n",row,col,i,
printf("updatingLLR (%d,%d,%d) (bit %d,%d,%d, llr0 %d,%d,%d, llr1 %d,%d,%d \n",row,col,i,
row-offset,col,i,row-offset,col+1,i,row,col+1,i);
#endif
dlist[i]->llr[col][row] = (pow((-1),dlist[i]->bit[col][row-offset])*dlist[i]->llr[col+1][row-offset]) + dlist[i]->llr[col+1][row];
// printf("updating dlist[%d]->llr[%d][%d] => %f (%f,%f) offset %d\n",i,col,row,32*dlist[i]->llr[col][row],
// (pow((-1),dlist[i]->bit[col][row-offset])*32*dlist[i]->llr[col+1][row-offset]),32*dlist[i]->llr[col+1][row],offset);
}
} else {
if (llrU[row][col+1]==0) updateLLR(dlist, llrU, bitU, listSize, row, (col+1), xlen, ylen, approximation);
if (llrU[row+offset][col+1]==0) updateLLR(dlist, llrU, bitU, listSize, (row+offset), (col+1), xlen, ylen, approximation);
for (int i=0;i<listSize;i++) computeLLR(dlist[i]->llr, row, col, offset, approximation);
}
llrU[row][col]=1;
}
void updateLLR_int8(decoder_list_int8_t **dlist,uint8_t **llrU, uint8_t **bitU,
uint8_t listSize, uint16_t row, uint16_t col, uint16_t xlen, uint8_t ylen) {
uint16_t offset = (xlen/(1<<(ylen-col-1)));
if (( (row) % (2*offset) ) >= offset ) {
if (bitU[row-offset][col]==0) updateBit_int8(dlist, bitU, listSize, (row-offset), col, xlen, ylen);
if (llrU[row-offset][col+1]==0) updateLLR_int8(dlist, llrU, bitU, listSize, (row-offset), (col+1), xlen, ylen);
if (llrU[row][col+1]==0) updateLLR_int8(dlist, llrU, bitU, listSize, row, (col+1), xlen, ylen);
for (uint8_t i=0; i<listSize; i++) {
#ifdef SHOWCOMP
printf("updatingLLR_int8 (%d,%d,%d) (bit %d,%d,%d, llr0 %d,%d,%d, llr1 %d,%d,%d \n",row,col,i,
row-offset,col,i,row-offset,col+1,i,row,col+1,i);
#endif
if (dlist[i]->bit[col][row-offset]==0)
dlist[i]->llr[col][row] = dlist[i]->llr[col+1][row-offset] + dlist[i]->llr[col+1][row];
else
dlist[i]->llr[col][row] = -dlist[i]->llr[col+1][row-offset] + dlist[i]->llr[col+1][row];
// printf("updating dlist[%d]->llr[%d][%d] => %d (%d,%d) offset %d\n",i,col,row,dlist[i]->llr[col][row],
// (dlist[i]->bit[col][row-offset]==0 ? 1 : -1)*dlist[i]->llr[col+1][row-offset],dlist[i]->llr[col+1][row], offset);
}
} else {
if (llrU[row][col+1]==0) updateLLR_int8(dlist, llrU, bitU, listSize, row, (col+1), xlen, ylen);
if (llrU[row+offset][col+1]==0) updateLLR_int8(dlist, llrU, bitU, listSize, (row+offset), (col+1), xlen, ylen);
for (int i=0;i<listSize;i++) computeLLR_int8(dlist[i]->llr, row, col, offset);
}
llrU[row][col]=1;
......@@ -90,6 +148,34 @@ void updateBit(decoder_list_t **dlist, uint8_t **bitU, uint8_t listSize, uint16_
if (bitU[row][col-1]==0) updateBit(dlist, bitU, listSize, row, (col-1), xlen, ylen);
if (bitU[row+offset][col-1]==0) updateBit(dlist, bitU, listSize, (row+offset), (col-1), xlen, ylen);
dlist[i]->bit[col][row] = ( (dlist[i]->bit[col-1][row]+dlist[i]->bit[col-1][row+offset]) % 2);
// printf("updating dlist[%d]->bit[%d][%d] => %d\n",i,col,row,dlist[i]->bit[col][row]);
#ifdef SHOWCOMP
printf("updating bit (%d,%d,%d) from (%d,%d,%d)+(%d,%d,%d)\n",
row,col,i,row,col-1,i,row+offset,col-1,i);
#endif
}
}
bitU[row][col]=1;
}
void updateBit_int8(decoder_list_int8_t **dlist, uint8_t **bitU, uint8_t listSize, uint16_t row,
uint16_t col, uint16_t xlen, uint8_t ylen) {
uint16_t offset = ( xlen/(pow(2,(ylen-col))) );
for (uint8_t i=0; i<listSize; i++) {
if (( (row) % (2*offset) ) >= offset ) {
if (bitU[row][col-1]==0) updateBit_int8(dlist, bitU, listSize, row, (col-1), xlen, ylen);
dlist[i]->bit[col][row] = dlist[i]->bit[col-1][row];
#ifdef SHOWCOMP
printf("updating bit (%d,%d,%d) from (%d,%d,%d)\n",
row,col,i,row,col-1,i);
#endif
} else {
if (bitU[row][col-1]==0) updateBit_int8(dlist, bitU, listSize, row, (col-1), xlen, ylen);
if (bitU[row+offset][col-1]==0) updateBit_int8(dlist, bitU, listSize, (row+offset), (col-1), xlen, ylen);
dlist[i]->bit[col][row] = dlist[i]->bit[col-1][row]^dlist[i]->bit[col-1][row+offset];
// printf("updating dlist[%d]->bit[%d][%d] => %d\n",i,col,row,dlist[i]->bit[col][row]);
#ifdef SHOWCOMP
printf("updating bit (%d,%d,%d) from (%d,%d,%d)+(%d,%d,%d)\n",
row,col,i,row,col-1,i,row+offset,col-1,i);
......@@ -111,44 +197,42 @@ void updatePathMetric(decoder_list_t **dlist,uint8_t listSize, uint8_t bitValue,
if (approximation) { //eq. (12)
for (uint8_t i=0; i<listSize; i++) {
if ((2*bitValue) != ( 1 - copysign(1.0,dlist[i]->llr[0][row]) )) dlist[i]->pathMetric += fabs(dlist[i]->llr[0][row]);
// printf("updatepathmetric : llr %f pathMetric %f (bitValue %d)\n",32*dlist[i]->llr[0][row],32*dlist[i]->pathMetric,bitValue);
}
} else { //eq. (11b)
int8_t multiplier = (2*bitValue) - 1;
for (uint8_t i=0; i<listSize; i++) dlist[i]->pathMetric += log ( 1 + exp(multiplier*dlist[i]->llr[0][row]) ) ;
int8_t multiplier = (2*bitValue) - 1;
for (uint8_t i=0; i<listSize; i++) {
dlist[i]->pathMetric += log ( 1 + exp(multiplier*dlist[i]->llr[0][row]) ) ;
// printf("updatepathmetric : llr %f pathMetric %f\n",32*dlist[i]->llr[0][row],32*dlist[i]->pathMetric);
}
}
}
/*
void updatePathMetric2(double *pathMetric, double ***llr, uint8_t listSize, uint16_t row, uint8_t appr) {
double *tempPM = malloc(sizeof(double) * listSize);
for (int i=0; i < listSize; i++) tempPM[i]=pathMetric[i];
uint8_t bitValue = 0;
if (appr) { //eq. (12)
for (uint8_t i = 0; i < listSize; i++) {
if ((2 * bitValue) != (1 - copysign(1.0, llr[row][0][i]))) pathMetric[i] += fabs(llr[row][0][i]);
}
} else { //eq. (11b)
int8_t multiplier = (2 * bitValue) - 1;
for (uint8_t i = 0; i < listSize; i++) pathMetric[i] += log(1 + exp(multiplier * llr[row][0][i]));
}
void updatePathMetric0_int8(decoder_list_int8_t **dlist,uint8_t listSize, uint16_t row) {
bitValue = 1;
if (appr) { //eq. (12)
for (uint8_t i = listSize; i < 2*listSize; i++) {
if ((2 * bitValue) != (1 - copysign(1.0, llr[row][0][(i-listSize)]))) pathMetric[i] = tempPM[(i-listSize)] + fabs(llr[row][0][(i-listSize)]);
}
} else { //eq. (11b)
int8_t multiplier = (2 * bitValue) - 1;
for (uint8_t i = listSize; i < 2*listSize; i++) pathMetric[i] = tempPM[(i-listSize)] + log(1 + exp(multiplier * llr[row][0][(i-listSize)]));
}
#ifdef SHOWCOMP
printf("updating path_metric from Frozen bit (%d,%d) \n",
row,0);
#endif
int16_t mask;
for (uint8_t i=0; i<listSize; i++) {
// if ((2*bitValue) != ( 1 - copysign(1.0,dlist[i]->llr[0][row]) )) dlist[i]->pathMetric += fabs(dlist[i]->llr[0][row]);
// equiv: if ((llr>0 && bitValue==1) || (llr<0 && bitValue==0) ...
// equiv: (llr>>7 + bitValue) != 0, in opposite case (llr>8 + bitValue) = -1 or 1
free(tempPM);
mask = dlist[i]->llr[0][row]>>15;
if (mask != 0) {
int16_t absllr = (dlist[i]->llr[0][row]+mask)^mask;
dlist[i]->pathMetric += absllr;
}
// printf("updatepathmetric : llr %d, pathMetric %d (bitValue %d)\n",dlist[i]->llr[0][row],dlist[i]->pathMetric);
}
}
*/
void updatePathMetric2(decoder_list_t **dlist, uint8_t listSize, uint16_t row, uint8_t appr) {
......@@ -174,10 +258,29 @@ void updatePathMetric2(decoder_list_t **dlist, uint8_t listSize, uint16_t row, u
dlist[i]->pathMetric += log(1 + exp(-dlist[i]->llr[0][row]));
// bitValue=1
dlist2[i]->pathMetric += log(1 + exp(dlist[i]->llr[0][row]));
}
}
}
void updatePathMetric2_int8(decoder_list_int8_t **dlist, uint8_t listSize, uint16_t row) {
int i;
for (i=0;i<listSize;i++) dlist[i+listSize]->pathMetric = dlist[i]->pathMetric;
decoder_list_int8_t **dlist2 = &dlist[listSize];
#ifdef SHOWCOMP
printf("updating path_metric from information bit (%d,%d) \n",
row,0);
#endif
for (i = 0; i < listSize; i++) {
// bitValue=0
if (dlist[i]->llr[0][row]<0) dlist[i]->pathMetric -= dlist[i]->llr[0][row];
// bitValue=1
else dlist2[i]->pathMetric += dlist[i]->llr[0][row];
}
}
void updateCrcChecksum(decoder_list_t **dlist, uint8_t **crcGen,
......@@ -197,3 +300,21 @@ void updateCrcChecksum2(decoder_list_t **dlist, uint8_t **crcGen,
}
}
}
void updateCrcChecksum_int8(decoder_list_int8_t **dlist, uint8_t **crcGen,
uint8_t listSize, uint32_t i2, uint8_t len) {
for (uint8_t i = 0; i < listSize; i++) {
for (uint8_t j = 0; j < len; j++) {
dlist[i]->crcChecksum[j] = ( (dlist[i]->crcChecksum[j] + crcGen[i2][j]) % 2 );
}
}
}
void updateCrcChecksum2_int8(decoder_list_int8_t **dlist, uint8_t **crcGen,
uint8_t listSize, uint32_t i2, uint8_t len) {
for (uint8_t i = 0; i < listSize; i++) {
for (uint8_t j = 0; j < len; j++) {
dlist[i+listSize]->crcChecksum[j] = ( (dlist[i]->crcChecksum[j] + crcGen[i2][j]) % 2 );
}
}
}
openair1/PHY/CODING/nrPolar_tools/nr_polar_defs.h
View file @ 8cda0a0f
......@@ -104,6 +104,9 @@ void nr_polar_rate_matching_pattern(uint16_t *rmp, uint16_t *J, const uint8_t *P
void nr_polar_rate_matching(double *input, double *output, uint16_t *rmp,
uint16_t K, uint16_t N, uint16_t E);
void nr_polar_rate_matching_int8(int16_t *input, int16_t *output, uint16_t *rmp,
uint16_t K, uint16_t N, uint16_t E);
void nr_polar_interleaving_pattern(uint16_t K, uint8_t I_IL, uint16_t *PI_k_);
void nr_polar_info_bit_pattern(uint8_t *ibp, int16_t *Q_I_N, int16_t *Q_F_N,
......@@ -138,31 +141,57 @@ typedef struct decoder_list_s {
uint8_t bit[1+nmax][Nmax];
double llr[1+nmax][Nmax];
uint8_t crcChecksum[24];
uint8_t crcState;
double pathMetric;
} decoder_list_t;
typedef struct decoder_list_int8_s {
uint8_t bit[1+nmax][Nmax];
int16_t llr[1+nmax][Nmax];
uint8_t crcChecksum[24];
int32_t pathMetric;
} decoder_list_int8_t;
void updateLLR(decoder_list_t **dlist,uint8_t **llrU, uint8_t **bitU,
uint8_t listSize, uint16_t row, uint16_t col, uint16_t xlen, uint8_t ylen, uint8_t approximation);
void updateLLR_int8(decoder_list_int8_t **dlist,uint8_t **llrU, uint8_t **bitU,
uint8_t listSize, uint16_t row, uint16_t col, uint16_t xlen, uint8_t ylen);
void updateBit(decoder_list_t **dlist, uint8_t **bitU, uint8_t listSize, uint16_t row,
uint16_t col, uint16_t xlen, uint8_t ylen);
void updateBit_int8(decoder_list_int8_t **dlist, uint8_t **bitU, uint8_t listSize, uint16_t row,
uint16_t col, uint16_t xlen, uint8_t ylen);
void updatePathMetric(decoder_list_t **dlist,uint8_t listSize, uint8_t bitValue,
uint16_t row, uint8_t approximation);
uint16_t row, uint8_t approximation);
void updatePathMetric0_int8(decoder_list_int8_t **dlist,uint8_t listSize, uint16_t row);
void updatePathMetric2(decoder_list_t **dlist, uint8_t listSize, uint16_t row, uint8_t appr);
void updatePathMetric2_int8(decoder_list_int8_t **dlist, uint8_t listSize, uint16_t row);
void updateCrcChecksum(decoder_list_t **dlist, uint8_t **crcGen,
uint8_t listSize, uint32_t i2, uint8_t len);
void updateCrcChecksum_int8(decoder_list_int8_t **dlist, uint8_t **crcGen,
uint8_t listSize, uint32_t i2, uint8_t len);
void updateCrcChecksum2(decoder_list_t **dlist, uint8_t **crcGen,
uint8_t listSize, uint32_t i2, uint8_t len);
void updateCrcChecksum2_int8(decoder_list_int8_t **dlist, uint8_t **crcGen,
uint8_t listSize, uint32_t i2, uint8_t len);
void nr_sort_asc_double_1D_array_ind(double *matrix, int *ind, int len);
void nr_sort_asc_int16_1D_array_ind(int32_t *matrix, int *ind, int len);
uint8_t **crc24c_generator_matrix(uint16_t payloadSizeBits);
uint8_t **crc11_generator_matrix(uint16_t payloadSizeBits);
uint8_t **crc6_generator_matrix(uint16_t payloadSizeBits);
......
openair1/PHY/CODING/nrPolar_tools/nr_polar_matrix_and_array.c
View file @ 8cda0a0f
......@@ -168,3 +168,28 @@ void nr_sort_asc_double_1D_array_ind(double *matrix, int *ind, int len) {
break;
}
}
void nr_sort_asc_int16_1D_array_ind(int32_t *matrix, int *ind, int len) {
int swaps;
int16_t temp;
int tempInd;
for (int i = 0; i < len; i++) {
swaps = 0;
for (int j = 0; j < (len - i) - 1; j++) {
if (matrix[j] > matrix[j + 1]) {
temp = matrix[j];
matrix[j] = matrix[j + 1];
matrix[j + 1] = temp;
tempInd = ind[j];
ind[j] = ind[j + 1];
ind[j + 1] = tempInd;
swaps++;
}
}
if (swaps == 0)
break;
}
}
openair1/PHY/CODING/nrPolar_tools/nr_polar_rate_match.c
View file @ 8cda0a0f
......@@ -79,3 +79,24 @@ void nr_polar_rate_matching(double *input, double *output, uint16_t *rmp, uint16
}
}
void nr_polar_rate_matching_int8(int16_t *input, int16_t *output, uint16_t *rmp, uint16_t K, uint16_t N, uint16_t E){
if (E>=N) { //repetition
for (int i=0; i<=N-1; i++) output[i]=0;
for (int i=0; i<=E-1; i++){
output[rmp[i]]+=input[i];
}
} else {
if ( (K/(double)E) <= (7.0/16) ) { //puncturing
for (int i=0; i<=N-1; i++) output[i]=0;
} else { //shortening
for (int i=0; i<=N-1; i++) output[i]=INFINITY;
}
for (int i=0; i<=E-1; i++){
output[rmp[i]]=input[i];
}
}
}
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