Init project after finished it and start of the report

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2026-10-12 19:45:30 +02:00
commit b2dde5453d
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*.png filter=lfs diff=lfs merge=lfs -text
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**/*.pdf
.DS_Store
.idea
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cmake_minimum_required(VERSION 4.3)
project(SimulationRabbit C)
set(CMAKE_C_STANDARD 11)
add_executable(SimulationRabbit main.c
rabbit_hole.c
rabbit_hole.h
mt19937ar.c
mt19937ar.h)
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import numpy as np
import matplotlib.pyplot as plt
data = np.loadtxt("rabbits.csv", delimiter=",", skiprows=1, usecols=(0, 1))
month, total = data[:, 0], data[:, 1]
fig, ax = plt.subplots(figsize=(9, 5))
ax.plot(month, total, lw=2, color="tab:blue")
ax.set_yscale("log")
ax.set_xlim(0, month.max())
ax.set_ylim(10, total.max() * 3)
ax.set_xticks(np.arange(0, month.max() + 1, 24))
ax.grid(True, which="both", axis="y", alpha=0.3)
ax.set_xlabel("Month")
ax.set_ylabel("Total rabbits (log)")
ax.set_title("Simulation Rabbit — population totale")
fig.tight_layout()
plt.show()
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#include <stdio.h>
#include "rabbit_hole.h"
#include "mt19937ar.h"
int main(void) {
init_genrand(42);
printf("===========Rabbit Hole Simulation =============\n");
rabbit_hole_t rabbits;
init_rabbits(&rabbits);
rabbits.male_mature[0] = 10;
rabbits.female_mature[0] = 10;
__uint128_t month = 0;
print_rabbits(&rabbits,&month);
csv_header();
for (int j = 0; j < 12*80 ; j++) {
if (!process_month(&rabbits,&month))
break;
print_rabbits(&rabbits,&month);
}
return 0;
}
Executable
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/*
A C-program for MT19937, with initialization improved 2002/1/26.
Coded by Takuji Nishimura and Makoto Matsumoto.
Before using, initialize the state by using init_genrand(seed)
or init_by_array(init_key, key_length).
Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
1. Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
3. The names of its contributors may not be used to endorse or promote
products derived from this software without specific prior written
permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
Any feedback is very welcome.
http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space)
*/
#include <math.h>
#include "mt19937ar.h"
#include <stdio.h>
/* Period parameters */
#define N 624
#define M 397
#define MATRIX_A 0x9908b0dfUL /* constant vector a */
#define UPPER_MASK 0x80000000UL /* most significant w-r bits */
#define LOWER_MASK 0x7fffffffUL /* least significant r bits */
static unsigned long mt[N]; /* the array for the state vector */
static int mti = N + 1; /* mti==N+1 means mt[N] is not initialized */
/* initializes mt[N] with a seed */
void init_genrand(unsigned long s) {
mt[0] = s & 0xffffffffUL;
for (mti = 1; mti < N; mti++) {
mt[mti] = (1812433253UL * (mt[mti - 1] ^ (mt[mti - 1] >> 30)) + mti);
/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
/* In the previous versions, MSBs of the seed affect */
/* only MSBs of the array mt[]. */
/* 2002/01/09 modified by Makoto Matsumoto */
mt[mti] &= 0xffffffffUL;
/* for >32 bit machines */
}
}
/* initialize by an array with array-length */
/* init_key is the array for initializing keys */
/* key_length is its length */
/* slight change for C++, 2004/2/26 */
void init_by_array(unsigned long init_key[], int key_length) {
int i, j, k;
init_genrand(19650218UL);
i = 1;
j = 0;
k = (N > key_length ? N : key_length);
for (; k; k--) {
mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >> 30)) * 1664525UL)) +
init_key[j] + j; /* non linear */
mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
i++;
j++;
if (i >= N) {
mt[0] = mt[N - 1];
i = 1;
}
if (j >= key_length)
j = 0;
}
for (k = N - 1; k; k--) {
mt[i] = (mt[i] ^ ((mt[i - 1] ^ (mt[i - 1] >> 30)) * 1566083941UL)) -
i; /* non linear */
mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
i++;
if (i >= N) {
mt[0] = mt[N - 1];
i = 1;
}
}
mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
}
/* generates a random number on [0,0xffffffff]-interval */
unsigned long genrand_int32(void) {
unsigned long y;
static unsigned long mag01[2] = {0x0UL, MATRIX_A};
/* mag01[x] = x * MATRIX_A for x=0,1 */
if (mti >= N) { /* generate N words at one time */
int kk;
if (mti == N + 1) /* if init_genrand() has not been called, */
init_genrand(5489UL); /* a default initial seed is used */
for (kk = 0; kk < N - M; kk++) {
y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
mt[kk] = mt[kk + M] ^ (y >> 1) ^ mag01[y & 0x1UL];
}
for (; kk < N - 1; kk++) {
y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK);
mt[kk] = mt[kk + (M - N)] ^ (y >> 1) ^ mag01[y & 0x1UL];
}
y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK);
mt[N - 1] = mt[M - 1] ^ (y >> 1) ^ mag01[y & 0x1UL];
mti = 0;
}
y = mt[mti++];
/* Tempering */
y ^= (y >> 11);
y ^= (y << 7) & 0x9d2c5680UL;
y ^= (y << 15) & 0xefc60000UL;
y ^= (y >> 18);
return y;
}
/* generates a random number on [0,0x7fffffff]-interval */
long genrand_int31(void) {
return (long)(genrand_int32() >> 1);
}
/* generates a random number on [0,1]-real-interval */
double genrand_real1(void) {
return genrand_int32() * (1.0 / 4294967295.0);
/* divided by 2^32-1 */
}
/* generates a random number on [0,1)-real-interval */
double genrand_real2(void) {
return genrand_int32() * (1.0 / 4294967296.0);
/* divided by 2^32 */
}
/* generates a random number on (0,1)-real-interval */
double genrand_real3(void) {
return (((double)genrand_int32()) + 0.5) * (1.0 / 4294967296.0);
/* divided by 2^32 */
}
/* generates a random number on [0,1) with 53-bit resolution*/
double genrand_res53(void) {
unsigned long a = genrand_int32() >> 5, b = genrand_int32() >> 6;
return (a * 67108864.0 + b) * (1.0 / 9007199254740992.0);
}
/* These real versions are due to Isaku Wada, 2002/01/09 added */
double uniform(double a, double b) {
return (genrand_real2() * (b - a)) + a;
}
char distribution_abc() {
double dice = genrand_real2();
if (dice <= 0.35)
return 'C';
else if (dice <= 0.5)
return 'B';
return 'A';
}
int distribution_array(int* array, int n) {
int i, total = 0;
double draw = genrand_real2();
for (i = 0; i < n; i++) {
total += array[i];
}
int current_count = 0;
for (i = 0; i < n; i++) {
current_count += array[i];
if (draw <= (current_count / (double)total))
return i;
}
return n - 1;
}
double negExp(double m) {
return -m * log(1 - genrand_real2());
}
void gauss(double* x_1_2) {
double rn1 = genrand_real2(), rn2 = genrand_real2();
double p = pow(-2 * log(rn2), 0.5);
x_1_2[0] = cos(2 * 3.1415 * rn1) * p;
x_1_2[1] = sin(2 * 3.1415 * rn1) * p;
}
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//
// Created by dukantic on 29/09/2026.
//
#ifndef SIMULATIONRABBIT_MT19937AR_H
#define SIMULATIONRABBIT_MT19937AR_H
void init_genrand(unsigned long s);
double genrand_real1(void);
double genrand_real2(void);
double uniform(double a, double b);
int distribution_array(int *array, int n);
void gauss(double* x_1_2) ;
#endif //SIMULATIONRABBIT_MT19937AR_H
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//
// Created by dukantic on 29/09/2026.
//
#ifndef RABBIT_HOLE_H
#define RABBIT_HOLE_H
#include "rabbit_hole.h"
#include <stdio.h>
#include <math.h>
#include "mt19937ar.h"
__uint128_t i,j;
double x_gauss[2];
void init_rabbits(rabbit_hole_t *rabbits) {
rabbits->female_litter=0;
for (i = 0; i < N_MATURE; i++) {
rabbits->male_mature[i] =0;
rabbits->female_mature[i] =0;
}
for (i = 0; i < N_KITTEN; i++) {
rabbits->kitten_male[i] =0;
rabbits->kitten_female[i] =0;
}
}
double sk_sigma_m, sk_mu_m, sk_sigma_f, sk_mu_f;
double sk_draw;
__uint128_t sk_temp_male, sk_temp_female;
void shift_kitten(rabbit_hole_t *rabbits, __uint128_t *new_male, __uint128_t *new_female) {
(*new_male) = rabbits->kitten_male[N_KITTEN-1];
(*new_female) = rabbits->kitten_female[N_KITTEN-1];
for (i = N_KITTEN - 3; i < N_KITTEN-1; i++) {
sk_temp_male = 0;
sk_temp_female = 0;
if (rabbits->kitten_male[i]<100 || rabbits->kitten_female[i]<100) {
for ( j = 0; j < rabbits->kitten_male[i]; j++) {
sk_draw = genrand_real1();
if (sk_draw <= 0.66)
sk_temp_male ++;
}
for (j = 0; j < rabbits->kitten_female[i]; j++) {
sk_draw = genrand_real1();
if (sk_draw <= 0.66)
sk_temp_female ++;
}
rabbits->kitten_male[i]-= sk_temp_male;
rabbits->kitten_female[i]-= sk_temp_female;
(*new_male) += sk_temp_male;
(*new_female) += sk_temp_female;
}
else
{
gauss(x_gauss);
sk_mu_m = (double)rabbits->kitten_male[i] * 0.66;
sk_sigma_m = sqrt(sk_mu_m * 0.33);
sk_mu_f = (double)rabbits->kitten_female[i] * 0.66;
sk_sigma_f = sqrt(sk_mu_f * 0.33);
x_gauss[0] = CLAMP_BTW(x_gauss[0] * sk_sigma_m + sk_mu_m, 0.0, rabbits->kitten_male[i]);
x_gauss[1] = CLAMP_BTW( x_gauss[1] * sk_sigma_f + sk_mu_f, 0.0, rabbits->kitten_female[i]);
(*new_male) += (__uint128_t)roundl(x_gauss[0]);
(*new_female) += (__uint128_t)roundl(x_gauss[1]);
rabbits->kitten_male[i] -= (__uint128_t)roundl(x_gauss[0]);
rabbits->kitten_female[i] -= (__uint128_t)roundl(x_gauss[1]);
}
}
for (i = N_KITTEN-1; i >=1; i--) {
rabbits->kitten_male[i] = rabbits->kitten_male[i-1];
rabbits->kitten_female[i] = rabbits->kitten_female[i-1];
}
rabbits->kitten_male[0] = 0;
rabbits->kitten_female[0] = 0;
}
__uint128_t *males;
__uint128_t *females;
double draw;
void shift_mature(rabbit_hole_t* rabbits) {
males = rabbits->male_mature;
females = rabbits->female_mature;
for (i = N_MATURE-1; i >=1; i--) {
males[i] = males[i-1];
females[i] = females[i-1];
}
males[0] = 0;
females[0] = 0;
}
double dp_threshold_death, dp_draw_death;
double sigma_m,sigma_f, mu_m, mu_f;
__uint128_t temp_male, temp_female;
void death_process(rabbit_hole_t *rabbits) {
for (i =0; i < N_MATURE; i++) {
dp_threshold_death = 1 - (0.4 + ((i >= 9)? (double)(i-9) * 0.1: 0)) / 12;
if (rabbits->male_mature[i] < 100 || rabbits->female_mature[i] < 100) {
temp_male = 0;
temp_female = 0;
for (j = 0; j < rabbits->male_mature[i]; j++) {
dp_draw_death = genrand_real1();
if (dp_draw_death <= dp_threshold_death)
temp_male ++;
}
for (j = 0; j < rabbits->female_mature[i]; j++) {
dp_draw_death = genrand_real1();
if (dp_draw_death <= dp_threshold_death)
temp_female ++;
}
rabbits->male_mature[i] = temp_male;
rabbits->female_mature[i] = temp_female;
}else {
mu_f = (double)rabbits->female_mature[i] * dp_threshold_death;
sigma_f = sqrt(mu_f * (1.0-dp_threshold_death));
mu_m = (double)rabbits->male_mature[i] * dp_threshold_death;
sigma_m = sqrt(mu_m * (1.0-dp_threshold_death));
gauss(x_gauss);
x_gauss[0] = CLAMP_BTW(x_gauss[0] * sigma_f + mu_f, 0.0, (double)rabbits->female_mature[i]);
x_gauss[1] = CLAMP_BTW(x_gauss[1] * sigma_m + mu_m, 0.0, (double)rabbits->male_mature[i]);
rabbits->female_mature[i] = (__uint128_t)roundl(x_gauss[0]);
rabbits->male_mature[i] = (__uint128_t)roundl(x_gauss[1]);
}
}
for (i = 0; i < N_KITTEN; i++) {
if (rabbits->kitten_male[i] < 100 || rabbits->kitten_female[i] < 100) {
temp_male = 0;
temp_female = 0;
for (j = 0; j < rabbits->kitten_male[i]; j++) {
dp_draw_death = genrand_real1();
if (dp_draw_death > 0.05) //0.35/7
temp_male ++;
}
for (j = 0; j < rabbits->kitten_female[i]; j++) {
dp_draw_death = genrand_real1();
if (dp_draw_death > 0.05) //0.35/7
temp_female ++;
}
rabbits->kitten_male[i] = temp_male;
rabbits->kitten_female[i] = temp_female;
}else {
mu_f = (double)rabbits->kitten_female[i] * 0.95;
sigma_f = sqrt(mu_f * 0.05);
mu_m = (double)rabbits->kitten_male[i] * 0.95;
sigma_m = sqrt(mu_m * 0.05);
gauss(x_gauss);
x_gauss[0] = x_gauss[0] * sigma_f + mu_f;
x_gauss[1] = x_gauss[1] * sigma_m + mu_m;
rabbits->kitten_female[i] = (__uint128_t)roundl(x_gauss[0]);
rabbits->kitten_male[i] = (__uint128_t)roundl(x_gauss[1]);
}
}
}
__uint128_t nb_females;
int taille1;
__uint128_t new_litter;
double draw_litter;
double ul_mu_k,ul_sigma_k, ul_mu_sex, ul_sigma_sex;
double ul_mu_litter, ul_sigma_litter;
void update_litter(rabbit_hole_t *rabbits, __uint128_t *new_kitten_male, __uint128_t *new_kitten_female) {
(*new_kitten_female) = 0;
(*new_kitten_male) = 0;
// sigma par femelle carre = ((b-a+1)caree- 1)/12 = 4
// sigma par femelle = 2
//sigma total = sqrt(sigma par femelle carre * N)
//mu = ((9+3)/2 ) * N = 6 * N
if (rabbits->female_litter < 100) {
for (i = 0; i < rabbits->female_litter; i++) {
taille1 = 3 + (int)(4.0 * genrand_real2()); //TODO
taille1 = 3 + (int)(4.0 * genrand_real2()); //TODO
for (int k = 0; k < taille1; k++) {
if (genrand_real1() > 0.5) (*new_kitten_male)++;
else (*new_kitten_female)++;
}
}
}else {
ul_mu_k = 6.0*(double)rabbits->female_litter;
ul_sigma_k = sqrt(4.0 * (double)rabbits->female_litter);
gauss(x_gauss);
x_gauss[0] = CLAMP_BTW(x_gauss[0] * ul_sigma_k+ ul_mu_k, 0.0 , rabbits->female_litter * 9.0);
ul_mu_sex = x_gauss[0] * 0.5;
ul_sigma_sex = sqrt(ul_mu_sex * 0.5);
x_gauss[1] = CLAMP_BTW(x_gauss[1] * ul_sigma_sex + ul_mu_sex , 0.0, rabbits->female_litter * 9.0);
(*new_kitten_female) = (__uint128_t)roundl(x_gauss[1]) ;
(*new_kitten_male) = (__uint128_t)roundl(x_gauss[0] - x_gauss[1]);
}
nb_females = 0;
for (i = 0; i < N_MATURE; i++) {
nb_females += rabbits->female_mature[i];
}
if (nb_females < 100) {
new_litter = 0;
for (i = 0; i < nb_females; i++) {
draw_litter = genrand_real1();
if (draw_litter > 0.5)
new_litter++;
}
rabbits->female_litter = new_litter;
}else {
ul_mu_litter = (double)nb_females * 0.5;
ul_sigma_litter = sqrt(ul_mu_litter * 0.5);
gauss(x_gauss);
x_gauss[0] = CLAMP_BTW(x_gauss[0]* ul_sigma_litter + ul_mu_litter ,0.0,nb_females);
rabbits->female_litter = (__uint128_t)roundl(x_gauss[0]);
}
}
char total_rabbits(rabbit_hole_t *rabbits, __uint128_t *total) {
*total = 0;
__uint128_t total_temp;
for (i = 0; i < N_MATURE; i++) {
total_temp = *total;
*total += rabbits->male_mature[i];
*total += rabbits->female_mature[i];
if (*total < total_temp) //overflow
{
return 0;
}
}
for (i = 0; i < N_KITTEN; i++) {
total_temp = *total;
*total += rabbits->kitten_male[i];
*total += rabbits->kitten_female[i];
if (*total < total_temp) //overflow
{
return 0;
}
}
return 1;
}
static void u128_to_str(__uint128_t v, char *buf)
{
char tmp[45];
int i = 0, j = 0;
if (v == 0) {
buf[0] = '0';
buf[1] = '\0';
return;
}
while (v > 0) {
tmp[i++] = '0' + (char)(v % 10);
v /= 10;
}
while (i > 0)
buf[j++] = tmp[--i];
buf[j] = '\0';
}
static void print_u128(__uint128_t v)
{
char buf[45];
u128_to_str(v, buf);
printf("%s", buf);
}
static void print_row_u128(const char *label, const __uint128_t *arr, size_t n)
{
fputs(label, stdout);
fputs("| ", stdout);
for (size_t i = 0; i < n; i++) {
print_u128(arr[i]);
fputs(" | ", stdout);
}
putchar('\n');
}
char print_rabbits(rabbit_hole_t *rabbits, __uint128_t *month)
{
printf("During time : ");
print_u128(*month / 12);
printf(" years, ");
print_u128(*month % 12);
printf(" months\n");
print_row_u128("Male : ", rabbits->male_mature, N_MATURE);
print_row_u128("Female : ", rabbits->female_mature, N_MATURE);
print_row_u128("Male kitten : ", rabbits->kitten_male, N_KITTEN);
print_row_u128("Female kitten : ", rabbits->kitten_female, N_KITTEN);
printf("\nLitter : | ");
print_u128(rabbits->female_litter);
printf("\n=> ");
__uint128_t total;
if ( ! total_rabbits(rabbits,&total)) {
puts("======================OVERFLOW===================");
return 0;
}
print_u128(total);
printf("\n");
puts("########################################");
return 1;
}
void csv_header() {
fprintf(stderr, "Month, Total Rabbit, Litters,");
for ( i = 0; i < N_MATURE; i++) {
fprintf(stderr,"Male (age %d),",i+1);
}
for (i = 0; i < N_MATURE; i++) {
fprintf(stderr,"Female (age %d),",i+1);
}
for (i = 0; i < N_KITTEN; i++) {
fprintf(stderr,"Kitten Male (age %d),",i+1);
}
for (i = 0; i < N_KITTEN; i++) {
fprintf(stderr,"Kitten Female (age %d),",i+1);
}
fprintf(stderr, "\n");
}
char csv_rabbits(rabbit_hole_t *rabbits, const __uint128_t *month) {
__uint128_t total;
if (!total_rabbits(rabbits,&total))
return 0;
char number_string[512];
u128_to_str(*month, number_string);
fprintf(stderr, "%s,", number_string);
u128_to_str(total,number_string);
fprintf(stderr, "%s,", number_string);
u128_to_str(rabbits->female_litter,number_string);
fprintf(stderr, "%s,", number_string);
for ( i = 0; i < N_MATURE; i++) {
u128_to_str(rabbits->male_mature[i],number_string);
fprintf(stderr,"%s,", number_string);
}
for (i = 0; i < N_MATURE; i++) {
u128_to_str(rabbits->female_mature[i],number_string);
fprintf(stderr,"%s,", number_string);
}
for (i = 0; i < N_KITTEN; i++) {
u128_to_str(rabbits->kitten_male[i],number_string);
fprintf(stderr,"%s,", number_string);
}
for (i = 0; i < N_KITTEN; i++) {
u128_to_str(rabbits->kitten_female[i],number_string);
fprintf(stderr,"%s,", number_string);
}
fprintf(stderr, "\n");
return 1;
}
__uint128_t new_male;
__uint128_t new_female;
__uint128_t new_kitten_male;
__uint128_t new_kitten_female;
char process_month(rabbit_hole_t *rabbits,__uint128_t *month) {
shift_kitten(rabbits, &new_male, &new_female);
if (*month % 12 == 0) {
shift_mature(rabbits);
}
rabbits->male_mature[0] += new_male;
rabbits->female_mature[0] += new_female;
death_process(rabbits);
update_litter(rabbits, &new_kitten_male, &new_kitten_female);
rabbits->kitten_male[0] += new_kitten_male;
rabbits->kitten_female[0] += new_kitten_female;
(*month)++;
if (!csv_rabbits(rabbits,month))
return 0;
return 1;
}
#endif
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//
// Created by dukantic on 29/09/2026.
//
#ifndef SIMULATIONRABBIT_RABBIT_HOLE_H
#define SIMULATIONRABBIT_RABBIT_HOLE_H
#include <stdint.h>
#define N_MATURE (16)
#define N_KITTEN (8)
#define CLAMP(x,y) (x >= y? y :x)
#define CLAMP_BTW(a, lo, hi) ((a) < (lo) ? (lo) : ((a) > (hi) ? (hi) : (a)))
typedef struct rabbit_hole_s {
__uint128_t male_mature[N_MATURE];
__uint128_t female_mature[N_MATURE];
__uint128_t female_litter;
__uint128_t kitten_male[N_KITTEN];
__uint128_t kitten_female[N_KITTEN];
} rabbit_hole_t;
void init_rabbits(rabbit_hole_t *rabbits);
char process_month(rabbit_hole_t *rabbits,__uint128_t *month);
void csv_header();
char print_rabbits(rabbit_hole_t *rabbits, __uint128_t *month);
#endif //SIMULATIONRABBIT_RABBIT_HOLE_H
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\documentclass[11pt, a4paper]{article}
% Préambule : packages utiles
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[french]{babel}
\usepackage{graphicx}
\usepackage{amsmath}
\usepackage{hyperref}
\graphicspath{ {./images/} }
\title{Simulation de population de lapin \\ (Rabbit's hole)}
\author{Aubin DORIVAL F2 Promo 28}
\date{\today}
\begin{document}
\maketitle
\begin{center}
\url{https://git.dukantic.fr/dukantic/Rabbit-s-Hole}
\includegraphics[width=0.7\textwidth]{draw_rabbit.jpg}
\end{center}
\section{Introduction}
Le projet `Rabbit Hole` est une simulation de population de lapin. Elle
essaye de simuler la croissance de la population de lapin en essayant de
suivre certaine règles et en faisant abstraction d'autre choses. Dans
tout le projet j'ai globalement prit les conditions et les probabilités
qui sont dans le sujet de base.
\section{Règles}
Tout d'abord il faut définir les règles à suivre.
\begin{itemize}
\item Taux de gestation à $50\%$ par mois.
\item $3$ à $6$ bébés par gestation de manière uniforme.
\item Les bébés deviennent adulte entre le $5\up{eme}$ et $8\up{eme}$ mois
\item Les adultes meurent avec un taux de $40\%/ans + 10\%/ans$ à partir de 10 ans.
\item Les bébés meurent avec un taux de $65\%/ans \Rightarrow 5\%/mois$ sur 7 mois en moyenne.
\end{itemize}
\begin{center}
\includegraphics[width=\textwidth]{rabbit's_rules.png}
\end{center}
\section{Structure de donnée}
Pour stocker les lapins j'ai choisit de les classées par âge. En effet
toute les règles sont basé sur l'âge alors je peux les compter. Ma
structure de données est donc basé sur cela. J'ai un tableau par sexe
et l'indice du tableau correspond a l'âge. J'ai aussi le nombre de lapine
en gestation. Pour les bébés j'ai exactement la même chose sauf que
l indice représente le mois plutôt que l'année. Pour les nombres j'ai
choisi un entier non-signé de 128 bits (ce qui est pas disponible pour
toute les plateformes) pour évité un maximum les dépassement d'entier.
\begin{verbatim}
#define N_MATURE (16)
#define N_KITTEN (8)
typedef struct rabbit_hole_s {
__uint128_t male_mature[N_MATURE];
__uint128_t female_mature[N_MATURE];
__uint128_t female_litter;
__uint128_t kitten_male[N_KITTEN];
__uint128_t kitten_female[N_KITTEN];
} rabbit_hole_t;
\end{verbatim}
\end{document}
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