Revision 11:a998a2569b12, committed 2017-10-15

Comitter:

johnGreeneMaxim

Date:

Sun Oct 15 19:21:20 2017 +0000

Parent:

10:85513b7480f5

Commit message:

adding maxrefdes117 algorithm

Changed in this revision

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/algorithm.cpp	Sun Oct 15 19:21:20 2017 +0000
@@ -0,0 +1,363 @@
+/** \file algorithm.cpp ******************************************************
+*
+* Project: MAXREFDES117#
+* Filename: algorithm.cpp
+* Description: This module calculates the heart rate/SpO2 level
+*
+*
+* --------------------------------------------------------------------
+*
+* This code follows the following naming conventions:
+*
+* char              ch_pmod_value
+* char (array)      s_pmod_s_string[16]
+* float             f_pmod_value
+* int32_t           n_pmod_value
+* int32_t (array)   an_pmod_value[16]
+* int16_t           w_pmod_value
+* int16_t (array)   aw_pmod_value[16]
+* uint16_t          uw_pmod_value
+* uint16_t (array)  auw_pmod_value[16]
+* uint8_t           uch_pmod_value
+* uint8_t (array)   auch_pmod_buffer[16]
+* uint32_t          un_pmod_value
+* int32_t *         pn_pmod_value
+*
+* ------------------------------------------------------------------------- */
+/*******************************************************************************
+* Copyright (C) 2016 Maxim Integrated Products, Inc., All Rights Reserved.
+*
+* Permission is hereby granted, free of charge, to any person obtaining a
+* copy of this software and associated documentation files (the "Software"),
+* to deal in the Software without restriction, including without limitation
+* the rights to use, copy, modify, merge, publish, distribute, sublicense,
+* and/or sell copies of the Software, and to permit persons to whom the
+* Software is furnished to do so, subject to the following conditions:
+*
+* The above copyright notice and this permission notice shall be included
+* in all copies or substantial portions of the Software.
+*
+* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+* IN NO EVENT SHALL MAXIM INTEGRATED BE LIABLE FOR ANY CLAIM, DAMAGES
+* OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
+* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+* OTHER DEALINGS IN THE SOFTWARE.
+*
+* Except as contained in this notice, the name of Maxim Integrated
+* Products, Inc. shall not be used except as stated in the Maxim Integrated
+* Products, Inc. Branding Policy.
+*
+* The mere transfer of this software does not imply any licenses
+* of trade secrets, proprietary technology, copyrights, patents,
+* trademarks, maskwork rights, or any other form of intellectual
+* property whatsoever. Maxim Integrated Products, Inc. retains all
+* ownership rights.
+*******************************************************************************
+*/
+#include "algorithm.h"
+#include "mbed.h"
+
+void maxim_heart_rate_and_oxygen_saturation(uint32_t *pun_ir_buffer,  int32_t n_ir_buffer_length, uint32_t *pun_red_buffer, int32_t *pn_spo2, int8_t *pch_spo2_valid, 
+                              int32_t *pn_heart_rate, int8_t  *pch_hr_valid)
+/**
+* \brief        Calculate the heart rate and SpO2 level
+* \par          Details
+*               By detecting  peaks of PPG cycle and corresponding AC/DC of red/infra-red signal, the ratio for the SPO2 is computed.
+*               Since this algorithm is aiming for Arm M0/M3. formaula for SPO2 did not achieve the accuracy due to register overflow.
+*               Thus, accurate SPO2 is precalculated and save longo uch_spo2_table[] per each ratio.
+*
+* \param[in]    *pun_ir_buffer           - IR sensor data buffer
+* \param[in]    n_ir_buffer_length      - IR sensor data buffer length
+* \param[in]    *pun_red_buffer          - Red sensor data buffer
+* \param[out]    *pn_spo2                - Calculated SpO2 value
+* \param[out]    *pch_spo2_valid         - 1 if the calculated SpO2 value is valid
+* \param[out]    *pn_heart_rate          - Calculated heart rate value
+* \param[out]    *pch_hr_valid           - 1 if the calculated heart rate value is valid
+*
+* \retval       None
+*/
+{
+    uint32_t un_ir_mean ,un_only_once ;
+    int32_t k ,n_i_ratio_count;
+    int32_t i, s, m, n_exact_ir_valley_locs_count ,n_middle_idx;
+    int32_t n_th1, n_npks,n_c_min;      
+    int32_t an_ir_valley_locs[15] ;
+    int32_t an_exact_ir_valley_locs[15] ;
+    int32_t an_dx_peak_locs[15] ;
+    int32_t n_peak_interval_sum;
+    
+    int32_t n_y_ac, n_x_ac;
+    int32_t n_spo2_calc; 
+    int32_t n_y_dc_max, n_x_dc_max; 
+    int32_t n_y_dc_max_idx, n_x_dc_max_idx; 
+    int32_t an_ratio[5],n_ratio_average; 
+    int32_t n_nume,  n_denom ;
+    // remove DC of ir signal    
+    un_ir_mean =0; 
+    for (k=0 ; k<n_ir_buffer_length ; k++ ) un_ir_mean += pun_ir_buffer[k] ;
+    un_ir_mean =un_ir_mean/n_ir_buffer_length ;
+    for (k=0 ; k<n_ir_buffer_length ; k++ )  an_x[k] =  pun_ir_buffer[k] - un_ir_mean ; 
+    
+    // 4 pt Moving Average
+    for(k=0; k< BUFFER_SIZE-MA4_SIZE; k++){
+        n_denom= ( an_x[k]+an_x[k+1]+ an_x[k+2]+ an_x[k+3]);
+        an_x[k]=  n_denom/(int32_t)4; 
+    }
+
+    // get difference of smoothed IR signal
+    
+    for( k=0; k<BUFFER_SIZE-MA4_SIZE-1;  k++)
+        an_dx[k]= (an_x[k+1]- an_x[k]);
+
+    // 2-pt Moving Average to an_dx
+    for(k=0; k< BUFFER_SIZE-MA4_SIZE-2; k++){
+        an_dx[k] =  ( an_dx[k]+an_dx[k+1])/2 ;
+    }
+    
+    // hamming window
+    // flip wave form so that we can detect valley with peak detector
+    for ( i=0 ; i<BUFFER_SIZE-HAMMING_SIZE-MA4_SIZE-2 ;i++){
+        s= 0;
+        for( k=i; k<i+ HAMMING_SIZE ;k++){
+            s -= an_dx[k] *auw_hamm[k-i] ; 
+                     }
+        an_dx[i]= s/ (int32_t)1146; // divide by sum of auw_hamm 
+    }
+
+ 
+    n_th1=0; // threshold calculation
+    for ( k=0 ; k<BUFFER_SIZE-HAMMING_SIZE ;k++){
+        n_th1 += ((an_dx[k]>0)? an_dx[k] : ((int32_t)0-an_dx[k])) ;
+    }
+    n_th1= n_th1/ ( BUFFER_SIZE-HAMMING_SIZE);
+    // peak location is acutally index for sharpest location of raw signal since we flipped the signal         
+    maxim_find_peaks( an_dx_peak_locs, &n_npks, an_dx, BUFFER_SIZE-HAMMING_SIZE, n_th1, 8, 5 );//peak_height, peak_distance, max_num_peaks 
+
+    n_peak_interval_sum =0;
+    if (n_npks>=2){
+        for (k=1; k<n_npks; k++)
+            n_peak_interval_sum += (an_dx_peak_locs[k]-an_dx_peak_locs[k -1]);
+        n_peak_interval_sum=n_peak_interval_sum/(n_npks-1);
+        *pn_heart_rate=(int32_t)(6000/n_peak_interval_sum);// beats per minutes
+        *pch_hr_valid  = 1;
+    }
+    else  {
+        *pn_heart_rate = -999;
+        *pch_hr_valid  = 0;
+    }
+            
+    for ( k=0 ; k<n_npks ;k++)
+        an_ir_valley_locs[k]=an_dx_peak_locs[k]+HAMMING_SIZE/2; 
+
+
+    // raw value : RED(=y) and IR(=X)
+    // we need to assess DC and AC value of ir and red PPG. 
+    for (k=0 ; k<n_ir_buffer_length ; k++ )  {
+        an_x[k] =  pun_ir_buffer[k] ; 
+        an_y[k] =  pun_red_buffer[k] ; 
+    }
+
+    // find precise min near an_ir_valley_locs
+    n_exact_ir_valley_locs_count =0; 
+    for(k=0 ; k<n_npks ;k++){
+        un_only_once =1;
+        m=an_ir_valley_locs[k];
+        n_c_min= 16777216;//2^24;
+        if (m+5 <  BUFFER_SIZE-HAMMING_SIZE  && m-5 >0){
+            for(i= m-5;i<m+5; i++)
+                if (an_x[i]<n_c_min){
+                    if (un_only_once >0){
+                       un_only_once =0;
+                   } 
+                   n_c_min= an_x[i] ;
+                   an_exact_ir_valley_locs[k]=i;
+                }
+            if (un_only_once ==0)
+                n_exact_ir_valley_locs_count ++ ;
+        }
+    }
+    if (n_exact_ir_valley_locs_count <2 ){
+       *pn_spo2 =  -999 ; // do not use SPO2 since signal ratio is out of range
+       *pch_spo2_valid  = 0; 
+       return;
+    }
+    // 4 pt MA
+    for(k=0; k< BUFFER_SIZE-MA4_SIZE; k++){
+        an_x[k]=( an_x[k]+an_x[k+1]+ an_x[k+2]+ an_x[k+3])/(int32_t)4;
+        an_y[k]=( an_y[k]+an_y[k+1]+ an_y[k+2]+ an_y[k+3])/(int32_t)4;
+    }
+
+    //using an_exact_ir_valley_locs , find ir-red DC andir-red AC for SPO2 calibration ratio
+    //finding AC/DC maximum of raw ir * red between two valley locations
+    n_ratio_average =0; 
+    n_i_ratio_count =0; 
+    
+    for(k=0; k< 5; k++) an_ratio[k]=0;
+    for (k=0; k< n_exact_ir_valley_locs_count; k++){
+        if (an_exact_ir_valley_locs[k] > BUFFER_SIZE ){             
+            *pn_spo2 =  -999 ; // do not use SPO2 since valley loc is out of range
+            *pch_spo2_valid  = 0; 
+            return;
+        }
+    }
+    // find max between two valley locations 
+    // and use ratio betwen AC compoent of Ir & Red and DC compoent of Ir & Red for SPO2 
+
+    for (k=0; k< n_exact_ir_valley_locs_count-1; k++){
+        n_y_dc_max= -16777216 ; 
+        n_x_dc_max= - 16777216; 
+        if (an_exact_ir_valley_locs[k+1]-an_exact_ir_valley_locs[k] >10){
+            for (i=an_exact_ir_valley_locs[k]; i< an_exact_ir_valley_locs[k+1]; i++){
+                if (an_x[i]> n_x_dc_max) {n_x_dc_max =an_x[i];n_x_dc_max_idx =i; }
+                if (an_y[i]> n_y_dc_max) {n_y_dc_max =an_y[i];n_y_dc_max_idx=i;}
+            }
+            n_y_ac= (an_y[an_exact_ir_valley_locs[k+1]] - an_y[an_exact_ir_valley_locs[k] ] )*(n_y_dc_max_idx -an_exact_ir_valley_locs[k]); //red
+            n_y_ac=  an_y[an_exact_ir_valley_locs[k]] + n_y_ac/ (an_exact_ir_valley_locs[k+1] - an_exact_ir_valley_locs[k])  ; 
+        
+        
+            n_y_ac=  an_y[n_y_dc_max_idx] - n_y_ac;    // subracting linear DC compoenents from raw 
+            n_x_ac= (an_x[an_exact_ir_valley_locs[k+1]] - an_x[an_exact_ir_valley_locs[k] ] )*(n_x_dc_max_idx -an_exact_ir_valley_locs[k]); // ir
+            n_x_ac=  an_x[an_exact_ir_valley_locs[k]] + n_x_ac/ (an_exact_ir_valley_locs[k+1] - an_exact_ir_valley_locs[k]); 
+            n_x_ac=  an_x[n_y_dc_max_idx] - n_x_ac;      // subracting linear DC compoenents from raw 
+            n_nume=( n_y_ac *n_x_dc_max)>>7 ; //prepare X100 to preserve floating value
+            n_denom= ( n_x_ac *n_y_dc_max)>>7;
+            if (n_denom>0  && n_i_ratio_count <5 &&  n_nume != 0)
+            {   
+                an_ratio[n_i_ratio_count]= (n_nume*100)/n_denom ; //formular is ( n_y_ac *n_x_dc_max) / ( n_x_ac *n_y_dc_max) ;
+                n_i_ratio_count++;
+            }
+        }
+    }
+
+    maxim_sort_ascend(an_ratio, n_i_ratio_count);
+    n_middle_idx= n_i_ratio_count/2;
+
+    if (n_middle_idx >1)
+        n_ratio_average =( an_ratio[n_middle_idx-1] +an_ratio[n_middle_idx])/2; // use median
+    else
+        n_ratio_average = an_ratio[n_middle_idx ];
+
+    if( n_ratio_average>2 && n_ratio_average <184){
+        n_spo2_calc= uch_spo2_table[n_ratio_average] ;
+        *pn_spo2 = n_spo2_calc ;
+        *pch_spo2_valid  = 1;//  float_SPO2 =  -45.060*n_ratio_average* n_ratio_average/10000 + 30.354 *n_ratio_average/100 + 94.845 ;  // for comparison with table
+    }
+    else{
+        *pn_spo2 =  -999 ; // do not use SPO2 since signal ratio is out of range
+        *pch_spo2_valid  = 0; 
+    }
+}
+
+
+void maxim_find_peaks(int32_t *pn_locs, int32_t *pn_npks, int32_t *pn_x, int32_t n_size, int32_t n_min_height, int32_t n_min_distance, int32_t n_max_num)
+/**
+* \brief        Find peaks
+* \par          Details
+*               Find at most MAX_NUM peaks above MIN_HEIGHT separated by at least MIN_DISTANCE
+*
+* \retval       None
+*/
+{
+    maxim_peaks_above_min_height( pn_locs, pn_npks, pn_x, n_size, n_min_height );
+    maxim_remove_close_peaks( pn_locs, pn_npks, pn_x, n_min_distance );
+    *pn_npks = min( *pn_npks, n_max_num );
+}
+
+void maxim_peaks_above_min_height(int32_t *pn_locs, int32_t *pn_npks, int32_t  *pn_x, int32_t n_size, int32_t n_min_height)
+/**
+* \brief        Find peaks above n_min_height
+* \par          Details
+*               Find all peaks above MIN_HEIGHT
+*
+* \retval       None
+*/
+{
+    int32_t i = 1, n_width;
+    *pn_npks = 0;
+    
+    while (i < n_size-1){
+        if (pn_x[i] > n_min_height && pn_x[i] > pn_x[i-1]){            // find left edge of potential peaks
+            n_width = 1;
+            while (i+n_width < n_size && pn_x[i] == pn_x[i+n_width])    // find flat peaks
+                n_width++;
+            if (pn_x[i] > pn_x[i+n_width] && (*pn_npks) < 15 ){                            // find right edge of peaks
+                pn_locs[(*pn_npks)++] = i;        
+                // for flat peaks, peak location is left edge
+                i += n_width+1;
+            }
+            else
+                i += n_width;
+        }
+        else
+            i++;
+    }
+}
+
+
+void maxim_remove_close_peaks(int32_t *pn_locs, int32_t *pn_npks, int32_t *pn_x, int32_t n_min_distance)
+/**
+* \brief        Remove peaks
+* \par          Details
+*               Remove peaks separated by less than MIN_DISTANCE
+*
+* \retval       None
+*/
+{
+    
+    int32_t i, j, n_old_npks, n_dist;
+    
+    /* Order peaks from large to small */
+    maxim_sort_indices_descend( pn_x, pn_locs, *pn_npks );
+
+    for ( i = -1; i < *pn_npks; i++ ){
+        n_old_npks = *pn_npks;
+        *pn_npks = i+1;
+        for ( j = i+1; j < n_old_npks; j++ ){
+            n_dist =  pn_locs[j] - ( i == -1 ? -1 : pn_locs[i] ); // lag-zero peak of autocorr is at index -1
+            if ( n_dist > n_min_distance || n_dist < -n_min_distance )
+                pn_locs[(*pn_npks)++] = pn_locs[j];
+        }
+    }
+
+    // Resort indices longo ascending order
+    maxim_sort_ascend( pn_locs, *pn_npks );
+}
+
+void maxim_sort_ascend(int32_t *pn_x,int32_t n_size) 
+/**
+* \brief        Sort array
+* \par          Details
+*               Sort array in ascending order (insertion sort algorithm)
+*
+* \retval       None
+*/
+{
+    int32_t i, j, n_temp;
+    for (i = 1; i < n_size; i++) {
+        n_temp = pn_x[i];
+        for (j = i; j > 0 && n_temp < pn_x[j-1]; j--)
+            pn_x[j] = pn_x[j-1];
+        pn_x[j] = n_temp;
+    }
+}
+
+void maxim_sort_indices_descend(int32_t *pn_x, int32_t *pn_indx, int32_t n_size)
+/**
+* \brief        Sort indices
+* \par          Details
+*               Sort indices according to descending order (insertion sort algorithm)
+*
+* \retval       None
+*/ 
+{
+    int32_t i, j, n_temp;
+    for (i = 1; i < n_size; i++) {
+        n_temp = pn_indx[i];
+        for (j = i; j > 0 && pn_x[n_temp] > pn_x[pn_indx[j-1]]; j--)
+            pn_indx[j] = pn_indx[j-1];
+        pn_indx[j] = n_temp;
+    }
+}
+

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/algorithm.h	Sun Oct 15 19:21:20 2017 +0000
@@ -0,0 +1,100 @@
+/** \file algorithm.h ******************************************************
+*
+* Project: MAXREFDES117#
+* Filename: algorithm.h
+* Description: This module is the heart rate/SpO2 calculation algorithm header file
+*
+* Revision History:
+*\n 1-18-2016 Rev 01.00 SK Initial release.
+*\n
+*
+* --------------------------------------------------------------------
+*
+* This code follows the following naming conventions:
+*
+*\n char              ch_pmod_value
+*\n char (array)      s_pmod_s_string[16]
+*\n float             f_pmod_value
+*\n int32_t           n_pmod_value
+*\n int32_t (array)   an_pmod_value[16]
+*\n int16_t           w_pmod_value
+*\n int16_t (array)   aw_pmod_value[16]
+*\n uint16_t          uw_pmod_value
+*\n uint16_t (array)  auw_pmod_value[16]
+*\n uint8_t           uch_pmod_value
+*\n uint8_t (array)   auch_pmod_buffer[16]
+*\n uint32_t          un_pmod_value
+*\n int32_t *         pn_pmod_value
+*
+* ------------------------------------------------------------------------- */
+/*******************************************************************************
+* Copyright (C) 2015 Maxim Integrated Products, Inc., All Rights Reserved.
+*
+* Permission is hereby granted, free of charge, to any person obtaining a
+* copy of this software and associated documentation files (the "Software"),
+* to deal in the Software without restriction, including without limitation
+* the rights to use, copy, modify, merge, publish, distribute, sublicense,
+* and/or sell copies of the Software, and to permit persons to whom the
+* Software is furnished to do so, subject to the following conditions:
+*
+* The above copyright notice and this permission notice shall be included
+* in all copies or substantial portions of the Software.
+*
+* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.
+* IN NO EVENT SHALL MAXIM INTEGRATED BE LIABLE FOR ANY CLAIM, DAMAGES
+* OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
+* ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+* OTHER DEALINGS IN THE SOFTWARE.
+*
+* Except as contained in this notice, the name of Maxim Integrated
+* Products, Inc. shall not be used except as stated in the Maxim Integrated
+* Products, Inc. Branding Policy.
+*
+* The mere transfer of this software does not imply any licenses
+* of trade secrets, proprietary technology, copyrights, patents,
+* trademarks, maskwork rights, or any other form of intellectual
+* property whatsoever. Maxim Integrated Products, Inc. retains all
+* ownership rights.
+*******************************************************************************
+*/
+#ifndef ALGORITHM_H_
+#define ALGORITHM_H_
+
+#include "mbed.h"
+
+#define true 1
+#define false 0
+#define FS 100
+#define BUFFER_SIZE  (FS* 5) 
+#define HR_FIFO_SIZE 7
+#define MA4_SIZE  4 // DO NOT CHANGE
+#define HAMMING_SIZE  5// DO NOT CHANGE
+#define min(x,y) ((x) < (y) ? (x) : (y))
+
+const uint16_t auw_hamm[31]={ 41,    276,    512,    276,     41 }; //Hamm=  long16(512* hamming(5)');
+//uch_spo2_table is computed as  -45.060*ratioAverage* ratioAverage + 30.354 *ratioAverage + 94.845 ;
+const uint8_t uch_spo2_table[184]={ 95, 95, 95, 96, 96, 96, 97, 97, 97, 97, 97, 98, 98, 98, 98, 98, 99, 99, 99, 99, 
+                            99, 99, 99, 99, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 
+                            100, 100, 100, 100, 99, 99, 99, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 98, 97, 97, 
+                            97, 97, 96, 96, 96, 96, 95, 95, 95, 94, 94, 94, 93, 93, 93, 92, 92, 92, 91, 91, 
+                            90, 90, 89, 89, 89, 88, 88, 87, 87, 86, 86, 85, 85, 84, 84, 83, 82, 82, 81, 81, 
+                            80, 80, 79, 78, 78, 77, 76, 76, 75, 74, 74, 73, 72, 72, 71, 70, 69, 69, 68, 67, 
+                            66, 66, 65, 64, 63, 62, 62, 61, 60, 59, 58, 57, 56, 56, 55, 54, 53, 52, 51, 50, 
+                            49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 31, 30, 29, 
+                            28, 27, 26, 25, 23, 22, 21, 20, 19, 17, 16, 15, 14, 12, 11, 10, 9, 7, 6, 5, 
+                            3, 2, 1 } ;
+static  int32_t an_dx[ BUFFER_SIZE-MA4_SIZE]; // delta
+static  int32_t an_x[ BUFFER_SIZE]; //ir
+static  int32_t an_y[ BUFFER_SIZE]; //red
+
+
+void maxim_heart_rate_and_oxygen_saturation(uint32_t *pun_ir_buffer ,  int32_t n_ir_buffer_length, uint32_t *pun_red_buffer ,   int32_t *pn_spo2, int8_t *pch_spo2_valid ,  int32_t *pn_heart_rate , int8_t  *pch_hr_valid);
+void maxim_find_peaks( int32_t *pn_locs, int32_t *pn_npks,  int32_t *pn_x, int32_t n_size, int32_t n_min_height, int32_t n_min_distance, int32_t n_max_num );
+void maxim_peaks_above_min_height( int32_t *pn_locs, int32_t *pn_npks,  int32_t *pn_x, int32_t n_size, int32_t n_min_height );
+void maxim_remove_close_peaks( int32_t *pn_locs, int32_t *pn_npks,   int32_t  *pn_x, int32_t n_min_distance );
+void maxim_sort_ascend( int32_t *pn_x, int32_t n_size );
+void maxim_sort_indices_descend(  int32_t  *pn_x, int32_t *pn_indx, int32_t n_size);
+
+#endif /* ALGORITHM_H_ */
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