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// Bubblesort Algorithm
// M.Menault 2024
void bubblesort(int* array, int length)
{
int swapped, i, tmp;
do
{
swapped = 0;
for(i=1;i<length;i++)
{
if(array[i-1] > array[i])
{
tmp = array[i-1];
array[i-1] = array[i];
array[i] = tmp;
swapped++;
}
}
} while(swapped==1);
}

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// Heapsort Algorithm
// M.Menault 2024
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
void print_array(int* array, int length)
{
static int count = 0;
int i = 0;
printf("(%3.3d) Array : ",count++);
for(i=0; i < length; i++)
{
printf("%5d ",array[i]);
}
printf("\n");
}
void sift(int* array, int node, int length)
{
int largest_node = node;
int left_node = 2*node+1;
int right_node = 2*node+2;
int temp_value = 0;
if(left_node < length && array[left_node] > array[largest_node])
{
largest_node = left_node;
}
if(right_node < length && array[right_node] > array[largest_node])
{
largest_node = right_node;
}
if(largest_node != node)
{
temp_value = array[node];
array[node] = array[largest_node];
array[largest_node] = temp_value;
sift(array,length,largest_node);
}
}
void heapsort(int* array, int length)
{
int i = 0;
int temp_value = 0;
// Sift the current array (binary tree)
for(i=(length/2); i >= 0; i--)
{
sift(array,i,length);
}
// Heapsort !
for(i=length-1; i > 0; i--)
{
temp_value = array[i];
array[i] = array[0];
array[0] = temp_value;
sift(array,0,i);
}
}
void generate_array(int* array, int length)
{
int i = 0;
static int first_call = 1;
if(first_call)
{
first_call = 0;
srand(time(NULL));
}
for(i=0; i < length; i++)
{
array[i] = rand() % 20 + 1;
}
}

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compilation :
```gcc -g -pg -o student_rank student_rank.c heapsort.c bubblesort.c```
premier test:
```./student_rank 5 5 1```
lancement de gprof:
```gprof ./student_rank```
```Flat profile:
Each sample counts as 0.01 seconds.
no time accumulated
% cumulative self self total
time seconds seconds calls Ts/call Ts/call name
0.00 0.00 0.00 30 0.00 0.00 bubblesort
0.00 0.00 0.00 25 0.00 0.00 find_rank_student
0.00 0.00 0.00 10 0.00 0.00 print_array
0.00 0.00 0.00 5 0.00 0.00 generate_array
0.00 0.00 0.00 2 0.00 0.00 free_array
0.00 0.00 0.00 2 0.00 0.00 print_student_array
0.00 0.00 0.00 1 0.00 0.00 generate_grades
0.00 0.00 0.00 1 0.00 0.00 generate_ranks
0.00 0.00 0.00 1 0.00 0.00 sort_students
```
30 appel de bubblesort et 25 appel de find_rank_student
call graph :
``` Call graph (explanation follows)
granularity: each sample hit covers 2 byte(s) no time propagated
index % time self children called name
0.00 0.00 5/30 sort_students [9]
0.00 0.00 25/30 find_rank_student [2]
[1] 0.0 0.00 0.00 30 bubblesort [1]
-----------------------------------------------
0.00 0.00 25/25 sort_students [9]
[2] 0.0 0.00 0.00 25 find_rank_student [2]
0.00 0.00 25/30 bubblesort [1]
-----------------------------------------------
0.00 0.00 10/10 print_student_array [6]
[3] 0.0 0.00 0.00 10 print_array [3]
-----------------------------------------------
0.00 0.00 5/5 generate_grades [7]
[4] 0.0 0.00 0.00 5 generate_array [4]
-----------------------------------------------
0.00 0.00 2/2 main [16]
[5] 0.0 0.00 0.00 2 free_array [5]
-----------------------------------------------
0.00 0.00 2/2 main [16]
[6] 0.0 0.00 0.00 2 print_student_array [6]
0.00 0.00 10/10 print_array [3]
-----------------------------------------------
0.00 0.00 1/1 main [16]
[7] 0.0 0.00 0.00 1 generate_grades [7]
0.00 0.00 5/5 generate_array [4]
-----------------------------------------------
0.00 0.00 1/1 main [16]
[8] 0.0 0.00 0.00 1 generate_ranks [8]
-----------------------------------------------
0.00 0.00 1/1 main [16]
[9] 0.0 0.00 0.00 1 sort_students [9]
0.00 0.00 25/25 find_rank_student [2]
0.00 0.00 5/30 bubblesort [1]
-----------------------------------------------
```
- 30 appel de bubblesort
- 5 appel de sort_student
- 25 appel de find_rank_student<br>
sort_student appel 25 fois find_rank_student et 5 fois bubblesort<br>
find_rank_student appel 25 fois bubblesort
nouveau scénario via la commande suivante :
```./student_rank 1000 1000 0```
lancement de gprof :
```gprof ./student_rank```
résultats:
```Flat profile:
Each sample counts as 0.01 seconds.
% cumulative self self total
time seconds seconds calls s/call s/call name
83.16 5.11 5.11 1001000 0.00 0.00 bubblesort
16.30 6.11 1.00 1000000 0.00 0.00 find_rank_student
0.65 6.15 0.04 1 0.04 6.15 sort_students
0.00 6.15 0.00 1000 0.00 0.00 generate_array
0.00 6.15 0.00 2 0.00 0.00 free_array
0.00 6.15 0.00 1 0.00 0.00 generate_grades
0.00 6.15 0.00 1 0.00 0.00 generate_ranks
```
- 1001000 appel de bubblesort
- 1000000 appel de find_rank_student<br>
execution du programme en 6.15s
call graph :
``` Call graph (explanation follows)
granularity: each sample hit covers 2 byte(s) for 0.16% of 6.15 seconds
index % time self children called name
0.04 6.11 1/1 main [2]
[1] 100.0 0.04 6.11 1 sort_students [1]
1.00 5.10 1000000/1000000 find_rank_student [3]
0.01 0.00 1000/1001000 bubblesort [4]
-----------------------------------------------
<spontaneous>
[2] 100.0 0.00 6.15 main [2]
0.04 6.11 1/1 sort_students [1]
0.00 0.00 2/2 free_array [6]
0.00 0.00 1/1 generate_grades [7]
0.00 0.00 1/1 generate_ranks [8]
-----------------------------------------------
1.00 5.10 1000000/1000000 sort_students [1]
[3] 99.3 1.00 5.10 1000000 find_rank_student [3]
5.10 0.00 1000000/1001000 bubblesort [4]
-----------------------------------------------
0.01 0.00 1000/1001000 sort_students [1]
5.10 0.00 1000000/1001000 find_rank_student [3]
[4] 83.1 5.11 0.00 1001000 bubblesort [4]
-----------------------------------------------
0.00 0.00 1000/1000 generate_grades [7]
[5] 0.0 0.00 0.00 1000 generate_array [5]
-----------------------------------------------
0.00 0.00 2/2 main [2]
[6] 0.0 0.00 0.00 2 free_array [6]
-----------------------------------------------
0.00 0.00 1/1 main [2]
[7] 0.0 0.00 0.00 1 generate_grades [7]
0.00 0.00 1000/1000 generate_array [5]
-----------------------------------------------
0.00 0.00 1/1 main [2]
[8] 0.0 0.00 0.00 1 generate_ranks [8]
-----------------------------------------------
```
## arbre d'appel du programme : ##
<pre>
main
|-->generate_grades
| |-->generate_array
|-->generate_ranks
|-->sort_students
| |-->find_rank_student
| | |-->bubblesort
| |-->bubblesort
|-->free_array
</pre>
## optimisation du programme : ##
- réduire les appel de bubblesort
- optimiser bubbesort (plus complexe)
- réduire les appel de sort_student car elle appelle les autres fonctions
### changmenent effectué : ###
suppression de la ligne 58 de student_rank.c
bubblesort.c est déjà optimisé

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// Student rank
// M.Menault 2024
#include <stdio.h>
#include <stdlib.h>
#include "heapsort.h"
#include "bubblesort.h"
void generate_grades(int** students_array, int students_number, int grades_number)
{
int i = 0;
for(i=0;i<students_number;i++)
{
students_array[i] = (int*) malloc(grades_number*sizeof(int));
generate_array(students_array[i],grades_number);
}
}
void generate_ranks(int** students_array, int students_number, int grades_number)
{
int i = 0;
int j = 0;
for(i=0;i<students_number;i++)
{
students_array[i] = (int*) malloc(grades_number*sizeof(int));
for(j=0;j<grades_number;j++)
{
students_array[i][j] = -1;
}
}
}
void free_array(int** students_array, int students_number)
{
int i = 0;
for(i=0;i<students_number;i++)
{
free(students_array[i]);
}
}
void print_student_array(int** students_array, int students_number, int grades_number)
{
int i = 0;
printf("----------------------\n");
for(i=0;i<students_number;i++)
{
printf("Student %d : ",i);
print_array(students_array[i],grades_number);
}
printf("----------------------\n");
}
int find_rank_student(int student_grade, int* grades_array, int students_number)
{
int position = -1;
int i = 0;
//bubblesort(grades_array,students_number); tableau déjà trié
for(i = students_number-1; i >= 0; i--)
{
if(grades_array[i] == student_grade)
{
position = students_number-i;
break;
}
}
return position;
}
void sort_students(int** students_rank, int** students_array, int students_number, int grades_number)
{
int i = 0, j = 0;
for(i = 0; i < grades_number; i++)
{
int * grades = (int*) malloc(students_number*sizeof(int));
for(j = 0; j < students_number; j++)
{
grades[j] = students_array[j][i];
}
bubblesort(grades,students_number);
for(j = 0; j < students_number; j++)
{
students_rank[j][i] = find_rank_student(students_array[j][i],grades,students_number);
}
free(grades);
}
}
int main(int argc, char** argv)
{
int** student_grades = NULL;
int** student_ranks = NULL;
int students_length = 0;
int grades_length = 0;
int debug_mode = 0;
if(argc != 4)
{
printf("Usage : %s <number of student> <number of grade per student> <debug mode : 0|1>\n",argv[0]);
return -1;
}
students_length = atoi(argv[1]);
grades_length = atoi(argv[2]);
debug_mode = atoi(argv[3]);
student_grades = (int**) malloc(students_length*sizeof(int*));
student_ranks = (int**) malloc(students_length*sizeof(int*));
generate_grades(student_grades,students_length,grades_length);
generate_ranks(student_ranks,students_length,grades_length);
sort_students(student_ranks,student_grades,students_length,grades_length);
if(debug_mode)
{
print_student_array(student_grades,students_length,grades_length);
print_student_array(student_ranks,students_length,grades_length);
}
free_array(student_grades,students_length);
free_array(student_ranks,students_length);
free(student_grades);
free(student_ranks);
return 0;
}

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272
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Flat profile:
Each sample counts as 0.01 seconds.
% cumulative self self total
time seconds seconds calls Ts/call Ts/call name
% the percentage of the total running time of the
time program used by this function.
cumulative a running sum of the number of seconds accounted
seconds for by this function and those listed above it.
self the number of seconds accounted for by this
seconds function alone. This is the major sort for this
listing.
calls the number of times this function was invoked, if
this function is profiled, else blank.
self the average number of milliseconds spent in this
ms/call function per call, if this function is profiled,
else blank.
total the average number of milliseconds spent in this
ms/call function and its descendents per call, if this
function is profiled, else blank.
name the name of the function. This is the minor sort
for this listing. The index shows the location of
the function in the gprof listing. If the index is
in parenthesis it shows where it would appear in
the gprof listing if it were to be printed.
Copyright (C) 2012-2023 Free Software Foundation, Inc.
Copying and distribution of this file, with or without modification,
are permitted in any medium without royalty provided the copyright
notice and this notice are preserved.
Call graph (explanation follows)
granularity: each sample hit covers 4 byte(s) no time propagated
index % time self children called name
This table describes the call tree of the program, and was sorted by
the total amount of time spent in each function and its children.
Each entry in this table consists of several lines. The line with the
index number at the left hand margin lists the current function.
The lines above it list the functions that called this function,
and the lines below it list the functions this one called.
This line lists:
index A unique number given to each element of the table.
Index numbers are sorted numerically.
The index number is printed next to every function name so
it is easier to look up where the function is in the table.
% time This is the percentage of the `total' time that was spent
in this function and its children. Note that due to
different viewpoints, functions excluded by options, etc,
these numbers will NOT add up to 100%.
self This is the total amount of time spent in this function.
children This is the total amount of time propagated into this
function by its children.
called This is the number of times the function was called.
If the function called itself recursively, the number
only includes non-recursive calls, and is followed by
a `+' and the number of recursive calls.
name The name of the current function. The index number is
printed after it. If the function is a member of a
cycle, the cycle number is printed between the
function's name and the index number.
For the function's parents, the fields have the following meanings:
self This is the amount of time that was propagated directly
from the function into this parent.
children This is the amount of time that was propagated from
the function's children into this parent.
called This is the number of times this parent called the
function `/' the total number of times the function
was called. Recursive calls to the function are not
included in the number after the `/'.
name This is the name of the parent. The parent's index
number is printed after it. If the parent is a
member of a cycle, the cycle number is printed between
the name and the index number.
If the parents of the function cannot be determined, the word
`<spontaneous>' is printed in the `name' field, and all the other
fields are blank.
For the function's children, the fields have the following meanings:
self This is the amount of time that was propagated directly
from the child into the function.
children This is the amount of time that was propagated from the
child's children to the function.
called This is the number of times the function called
this child `/' the total number of times the child
was called. Recursive calls by the child are not
listed in the number after the `/'.
name This is the name of the child. The child's index
number is printed after it. If the child is a
member of a cycle, the cycle number is printed
between the name and the index number.
If there are any cycles (circles) in the call graph, there is an
entry for the cycle-as-a-whole. This entry shows who called the
cycle (as parents) and the members of the cycle (as children.)
The `+' recursive calls entry shows the number of function calls that
were internal to the cycle, and the calls entry for each member shows,
for that member, how many times it was called from other members of
the cycle.
Copyright (C) 2012-2023 Free Software Foundation, Inc.
Copying and distribution of this file, with or without modification,
are permitted in any medium without royalty provided the copyright
notice and this notice are preserved.
Index by function name
Flat profile:
Each sample counts as 0.01 seconds.
% cumulative self self total
time seconds seconds calls Ts/call Ts/call name
% the percentage of the total running time of the
time program used by this function.
cumulative a running sum of the number of seconds accounted
seconds for by this function and those listed above it.
self the number of seconds accounted for by this
seconds function alone. This is the major sort for this
listing.
calls the number of times this function was invoked, if
this function is profiled, else blank.
self the average number of milliseconds spent in this
ms/call function per call, if this function is profiled,
else blank.
total the average number of milliseconds spent in this
ms/call function and its descendents per call, if this
function is profiled, else blank.
name the name of the function. This is the minor sort
for this listing. The index shows the location of
the function in the gprof listing. If the index is
in parenthesis it shows where it would appear in
the gprof listing if it were to be printed.
Copyright (C) 2012-2023 Free Software Foundation, Inc.
Copying and distribution of this file, with or without modification,
are permitted in any medium without royalty provided the copyright
notice and this notice are preserved.
Call graph (explanation follows)
granularity: each sample hit covers 4 byte(s) no time propagated
index % time self children called name
This table describes the call tree of the program, and was sorted by
the total amount of time spent in each function and its children.
Each entry in this table consists of several lines. The line with the
index number at the left hand margin lists the current function.
The lines above it list the functions that called this function,
and the lines below it list the functions this one called.
This line lists:
index A unique number given to each element of the table.
Index numbers are sorted numerically.
The index number is printed next to every function name so
it is easier to look up where the function is in the table.
% time This is the percentage of the `total' time that was spent
in this function and its children. Note that due to
different viewpoints, functions excluded by options, etc,
these numbers will NOT add up to 100%.
self This is the total amount of time spent in this function.
children This is the total amount of time propagated into this
function by its children.
called This is the number of times the function was called.
If the function called itself recursively, the number
only includes non-recursive calls, and is followed by
a `+' and the number of recursive calls.
name The name of the current function. The index number is
printed after it. If the function is a member of a
cycle, the cycle number is printed between the
function's name and the index number.
For the function's parents, the fields have the following meanings:
self This is the amount of time that was propagated directly
from the function into this parent.
children This is the amount of time that was propagated from
the function's children into this parent.
called This is the number of times this parent called the
function `/' the total number of times the function
was called. Recursive calls to the function are not
included in the number after the `/'.
name This is the name of the parent. The parent's index
number is printed after it. If the parent is a
member of a cycle, the cycle number is printed between
the name and the index number.
If the parents of the function cannot be determined, the word
`<spontaneous>' is printed in the `name' field, and all the other
fields are blank.
For the function's children, the fields have the following meanings:
self This is the amount of time that was propagated directly
from the child into the function.
children This is the amount of time that was propagated from the
child's children to the function.
called This is the number of times the function called
this child `/' the total number of times the child
was called. Recursive calls by the child are not
listed in the number after the `/'.
name This is the name of the child. The child's index
number is printed after it. If the child is a
member of a cycle, the cycle number is printed
between the name and the index number.
If there are any cycles (circles) in the call graph, there is an
entry for the cycle-as-a-whole. This entry shows who called the
cycle (as parents) and the members of the cycle (as children.)
The `+' recursive calls entry shows the number of function calls that
were internal to the cycle, and the calls entry for each member shows,
for that member, how many times it was called from other members of
the cycle.
Copyright (C) 2012-2023 Free Software Foundation, Inc.
Copying and distribution of this file, with or without modification,
are permitted in any medium without royalty provided the copyright
notice and this notice are preserved.
Index by function name