Compilation and static link of static link

a.c

#include <stdio.h> 
void print_name(){
        printf("LIB A\n");
}

abis.c

#include <stdio.h> 
void print_name(){
        printf("LIB A (BIS) \n");
}
void print_name_bis() {
        print_name();
}

b.c

#include <stdio.h>

#define INTERNAL __attribute__((visibility("hidden")))
INTERNAL extern void print_name();


void print_all_name() {
        printf("Print all name:\n");
        print_name();
}

compile.sh

#!/bin/bash

rm *.o 2>/dev/null
rm *.a 2>/dev/null
rm prog 2>/dev/null


echo "Compiling A"
gcc -W -g -c -o a.o a.c
ar rcs liba.a a.o
rm *.o 2>/dev/null

echo "Compiling ABIS"
gcc -W -g -c -o abis.o abis.c
ar rcs libabis.a abis.o
rm *.o 2>/dev/null

echo "Compiling B"
gcc -W -g -c -o b.o b.c
ar -x liba.a
ar rcs libb.a *.o
rm *.o 2>/dev/null

echo "Compiling PROG"
gcc  prog.c -L. -lb -labis -o prog
rm *.o 2>/dev/null

prog.c

#include <stdio.h>

extern void print_all_name();

extern void print_name();
extern void print_name_bis();


int main(int argc, char ** argv) {
        printf("MAIN\n");
        print_all_name();
        print_name();
        print_name_bis();
}