diff --git a/utils/alt/sizeof_01.c b/utils/alt/sizeof_01.c
deleted file mode 100644
index cb23c574e9b463cbd667208fa829f33912a04c9f..0000000000000000000000000000000000000000
--- a/utils/alt/sizeof_01.c
+++ /dev/null
@@ -1,70 +0,0 @@
-#include <stdio.h>
-
-int main ()
-{
-
-  char vetor_01[5], var_01;
-  int  vetor_02[6], var_02;
-  float vetor_03[7], var_03;
-  double  vetor_04[6], var_04;
-  long int var_05;
-  long long int var_06;
-  short int var_07;
-
-  struct cls {
-    int a;
-    char b[5];
-    int c[10];
-  };
-
-  printf("\n");
-  printf("\n");
-
-  printf("\n");
-  printf(" ================================== \n");
-  printf("|    TIPO       | TAMANHO EM BYTES |\n");
-  printf("|==================================|\n");
-  printf("| char          |       %2lu         |\n", sizeof(char));
-  printf("| int           |       %2lu         |\n", sizeof(int));
-  printf("| unsig int     |       %2lu         |\n", sizeof(unsigned int));
-  printf("| short int     |       %2lu         |\n", sizeof(short int));
-  printf("| long int      |       %2lu         |\n", sizeof(long int));
-  printf("| long long int |       %2lu         |\n", sizeof(long long int));
-  printf("| float         |       %2lu         |\n", sizeof(float));
-  printf("| double        |       %2lu         |\n", sizeof(double));
-  printf("| long double   |       %2lu         |\n", sizeof(long double));
-  printf("| struct cls    |       %2lu         |\n", sizeof(struct cls));
-  printf(" ==================================|\n");
-  printf("| void *        |       %2lu         |\n", sizeof(void *));
-  printf("| char *        |       %2lu         |\n", sizeof(char *));
-  printf("| int  *        |       %2lu         |\n", sizeof(int *));
-  printf("| short int *   |       %2lu         |\n", sizeof(short int *));
-  printf("| long int  *   |       %2lu         |\n", sizeof(long int *));
-  printf("| float     *   |       %2lu         |\n", sizeof(float *));
-  printf("| double    *   |       %2lu         |\n", sizeof(double *));
-  printf("| long double * |       %2lu         |\n", sizeof(long double *));
-  printf(" ==================================  \n");
-
-  printf("\n");
-  printf("\n");
-
-  printf(" ====================================== \n");
-  printf("|      VARIAVEL     | TAMANHO EM BYTES |\n");
-  printf("|======================================|\n");
-  printf("| char   v[5]       |       %2lu         |\n", sizeof vetor_01 );
-  printf("| int    v[6]       |       %2lu         |\n", sizeof vetor_02 );
-  printf("| float  v[7]       |       %2lu         |\n", sizeof vetor_03 );
-  printf("| double v[6]       |       %2lu         |\n", sizeof(vetor_04));
-  printf("| char   var        |       %2lu         |\n", sizeof var_01 );
-  printf("| int    var        |       %2lu         |\n", sizeof var_02 );
-  printf("| short int var     |       %2lu         |\n", sizeof(var_07));
-  printf("| long int var      |       %2lu         |\n", sizeof(var_05));
-  printf("| long long int var |       %2lu         |\n", sizeof(var_06));
-  printf("| float  var        |       %2lu         |\n", sizeof var_03 );
-  printf("| double var        |       %2lu         |\n", sizeof(var_04));
-  printf(" ====================================== \n");
-
-  printf("\n");
-  printf("\n");
-
-}
diff --git a/utils/alt/sizeof_02.c b/utils/alt/sizeof_02.c
deleted file mode 100644
index cddc32dace570b71fbce2d86bb114c282e1ca904..0000000000000000000000000000000000000000
--- a/utils/alt/sizeof_02.c
+++ /dev/null
@@ -1,34 +0,0 @@
-#include <stdio.h>
-
-#define BITCOUNT(x)   (((BX_(x) + (BX_(x) >> 4)) & 0x0F0F0F0F) % 255)
-#define BX_(x)        ((x)  - \
-		       (((x) >> 1) & 0x77777777)  - \
-                       (((x) >> 2) & 0x33333333)  - \
-                       (((x) >> 3) & 0x11111111))
-int main ()
-{
-
-  char var_01 = 0x80;
-  int  var_02 = 0x8000;
-  long int var_05 = 0x800000;
-  long long int var_06 = 0x800000000000;
-  short int var_07 = 0x8000;
-
-  printf("\n");
-  printf("\n");
-
-  printf(" ====================================== \n");
-  printf("|      VARIAVEL     | TAMANHO EM BITS  |\n");
-  printf("|======================================|\n");
-  printf("| char   var        |       %2d         |\n", BITCOUNT(var_01) );
-  printf("| int    var        |       %2d         |\n", BITCOUNT(var_02) );
-  printf("| short int var     |       %2lu         |\n", sizeof(var_07));
-  printf("| long int var      |       %2lu         |\n", sizeof(var_05));
-  printf("| long long int var |       %2lu         |\n", sizeof(var_06));
-  printf(" ====================================== \n");
-
-  printf("\n");
-  printf("\n");
-
-}
-
diff --git a/utils/alt/sizeof_03.c b/utils/alt/sizeof_03.c
deleted file mode 100644
index 7fb08649547bf3264cc88c799e6ffc1539fdf271..0000000000000000000000000000000000000000
--- a/utils/alt/sizeof_03.c
+++ /dev/null
@@ -1,14 +0,0 @@
-#include <stdio.h>
-#include <stdlib.h>
-#include <math.h>
-#include <string.h>
-
-int main ()
-{
-
-  printf("%lu %lu %lu %lu %lu\n", sizeof(long long int), sizeof(long int), sizeof(int), sizeof(short int), sizeof(char));
-
-  return 0;
-
-}
-
diff --git a/utils/alt/utils-00.c b/utils/alt/utils-00.c
deleted file mode 100644
index e712d67f3658502f8af37ce5a0ab0e1ef2390dd7..0000000000000000000000000000000000000000
--- a/utils/alt/utils-00.c
+++ /dev/null
@@ -1,21 +0,0 @@
-#include <stdio.h>
-#include "utils.h"
-
-/*  Retorna tempo em milisegundos
-
-    Forma de uso:
- 
-    double tempo;
-    tempo = timestamp();
-    <trecho de programa do qual se deseja medir tempo>
-    tempo = timestamp() - tempo;
-*/
-
-double timestamp(void)
-{
-  struct timeval tp;
-  gettimeofday(&tp, NULL);
-  // printf("\n*** %7.10lf ms %7.10lf ms\n", tp.tv_sec*1.0e3, tp.tv_usec*1.0e-3);
-  return((double)(tp.tv_sec*1.0e3 + tp.tv_usec*1.0e-3));
-}
-
diff --git a/utils/alt/utils-00.h b/utils/alt/utils-00.h
deleted file mode 100644
index 14a0ccece58b66243a5b8eade70a09b17154a8d1..0000000000000000000000000000000000000000
--- a/utils/alt/utils-00.h
+++ /dev/null
@@ -1,10 +0,0 @@
-#ifndef __UTILS_H__
-#define __UTILS_H__
-
-#include <stdlib.h>
-#include <sys/time.h>
-
-double timestamp(void);
-
-#endif // __UTILS_H__
-
diff --git a/utils/alt/utils-01.c b/utils/alt/utils-01.c
deleted file mode 100644
index 8acfd1733b81478802044691b8cfbf460fcc1197..0000000000000000000000000000000000000000
--- a/utils/alt/utils-01.c
+++ /dev/null
@@ -1,35 +0,0 @@
-#include <stdio.h>
-#include <string.h>
-#include <math.h>
-
-#include "utils.h"
-
-/*  Retorna tempo em milisegundos
-
-    Forma de uso:
- 
-    double tempo;
-    tempo = timestamp();
-    <trecho de programa do qual se deseja medir tempo>
-    tempo = timestamp() - tempo;
-*/
-
-double timestamp(void)
-{
-  struct timespec tp;
-  clock_gettime(CLOCK_MONOTONIC_RAW, &tp);
-  return((double)(tp.tv_sec*1.0e3 + tp.tv_nsec*1.0e-6));
-}
-
-string_t markerName(string_t baseName, int n)
-{
-  string_t mark = (string_t) malloc( (strlen(baseName)+1) + (log10(n)+1) + 1 );
-
-  sprintf(mark, "%s_%u", baseName,n);
-
-  // printf("*** %s\n", mark);
-
-  return mark;
-
-}
-
diff --git a/utils/alt/utils-01.h b/utils/alt/utils-01.h
deleted file mode 100644
index 5c10efd7d0d334285953832a26b42954bc9c4870..0000000000000000000000000000000000000000
--- a/utils/alt/utils-01.h
+++ /dev/null
@@ -1,16 +0,0 @@
-#ifndef __UTILS_H__
-#define __UTILS_H__
-
-#include <stdlib.h>
-#include <time.h>
-
-
-typedef double real_t;
-typedef double rtime_t;
-typedef char * string_t;
-
-double timestamp(void);
-string_t markerName(string_t baseName, int n);
-
-#endif // __UTILS_H__
-
diff --git a/utils/alt/utils-02.c b/utils/alt/utils-02.c
deleted file mode 100644
index 95c887f1631b0e704fc9f46750b6ab4c89b98e5f..0000000000000000000000000000000000000000
--- a/utils/alt/utils-02.c
+++ /dev/null
@@ -1,51 +0,0 @@
-// by W.Zola (2017)
-
-#include <stdio.h>
-#include <stdlib.h>
-#include <string.h>
-#include <math.h>
-
-#include <sys/types.h>
-#include <sys/stat.h>
-#include <fcntl.h>
-#include <sys/mman.h>
-
-#include "utils.h"
-
-/*  Retorna tempo em nanosegundos
-
-    Forma de uso:
- 
-    chronometer_t *tempo;
-    chrono_reset( &tempo);
-
-    chrono_start( &tempo);
-    <trecho de programa do qual se deseja medir tempo>
-    chrono_stop( &tempo);
-
-    chrono_reportTime( &tempo, "Tempo: ");
-*/
-
-void chrono_reset( chronometer_t *chrono )
-{
-  chrono->xtotal_ns = 0;
-  chrono->xn_events = 0;
-}
-
-void chrono_start( chronometer_t *chrono ) {
-  clock_gettime(CLOCK_MONOTONIC_RAW, &(chrono->xadd_time1) );
-}
-
-void chrono_stop( chronometer_t *chrono ) {
-
-  clock_gettime(CLOCK_MONOTONIC_RAW, &(chrono->xadd_time2) );
-  
-  long long ns1 = chrono->xadd_time1.tv_sec*1.0e9 + chrono->xadd_time1.tv_nsec;
-  long long ns2 = chrono->xadd_time2.tv_sec*1.0e9 + chrono->xadd_time2.tv_nsec;
-  chrono->deltaT_ns = ns2 - ns1;
-}
-
-void chrono_reportTime( chronometer_t *chrono, char *prompt ) {
-  printf("\n%s (ns): %llu ns\n", prompt, chrono->deltaT_ns);
-}
-
diff --git a/utils/alt/utils-02.h b/utils/alt/utils-02.h
deleted file mode 100644
index 092dfec00c97b9053ec1cf2116aeb8fa79913b72..0000000000000000000000000000000000000000
--- a/utils/alt/utils-02.h
+++ /dev/null
@@ -1,36 +0,0 @@
-#ifndef __UTILS_H__
-#define __UTILS_H__
-
-// by W.Zola (2017)
-
-#include <time.h>
-
-typedef struct {
-
-  struct timespec xadd_time1, xadd_time2;
-  long long deltaT_ns;
-    
-} chronometer_t;
- 
-
-/*  Retorna intervlo de tempo em nanosegundos
-
-    Forma de uso:
- 
-    chronometer_t *tempo;
-    chrono_reset( &tempo);
-
-    chrono_start( &tempo);
-    <trecho de programa do qual se deseja medir tempo>
-    chrono_stop( &tempo);
-
-    chrono_reportTime( &tempo, "Tempo: ");
-*/
-
-void chrono_reset( chronometer_t *chrono );
-void chrono_start( chronometer_t *chrono );
-void chrono_stop( chronometer_t *chrono );
-void chrono_reportTime( chronometer_t *chrono, chr *prompt );
-
-#endif // __UTILS_H__
-
diff --git a/utils/utils.c b/utils/utils.c
index 8acfd1733b81478802044691b8cfbf460fcc1197..53aeb74e18751fb641593add1a4540922f5dab26 100644
--- a/utils/utils.c
+++ b/utils/utils.c
@@ -33,3 +33,8 @@ string_t markerName(string_t baseName, int n)
 
 }
 
+int isPot2(int n)
+{
+  int k;
+  return (k = log2(n)) == log2(n) ;
+}
diff --git a/utils/utils.h b/utils/utils.h
index 5c10efd7d0d334285953832a26b42954bc9c4870..7d10cb04fe727fecf700f0c64768bc241003d4f6 100644
--- a/utils/utils.h
+++ b/utils/utils.h
@@ -11,6 +11,7 @@ typedef char * string_t;
 
 double timestamp(void);
 string_t markerName(string_t baseName, int n);
+int isPot2 (int n);
 
 #endif // __UTILS_H__