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RSA_E&D_BigInt
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RSA_E&D_BigInt
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#pragma once
#include<iostream>
#include<math.h>
#include<string>
#include<time.h>
#include<stdlib.h>
#include<fstream>
using namespace std;
const int max = 1025;
class bi
{
private:
bool num[max];
public:
bool flag;
bi()
{
int i;
for (i = 0; i < max; i++)
{
num[i] = 0;
}
flag = 0;
}
bi(int in)
{
if (in >= 0)flag = 0;
else flag = 1;
int i = 0;
while (in)
{
num[i] = in % 2;
in = in / 2;
i++;
}
for (; i < max; i++)
{
num[i] = 0;
}
}
bi(string in)
{
int i, j = 0;
int temp;
for (i = 0; i < max; i++) {
num[i] = 0;
}
for (i = in.length() - 1; i >= 0; i--) {
if (in[i] >= 'a'&&in[i] <= 'f') {
temp = in[i] - 'a' + 10;
}
else {
if (in[i] >= 'A'&&in[i] <= 'F') {
temp = in[i] - 'A' + 10;
}
else {
temp = in[i] - '0';
}
}
if (temp / 8) {
num[4 * j + 3] = 1;
}
if ((temp % 8) / 4) {
num[4 * j + 2] = 1;
}
if ((temp % 4) / 2) {
num[4 * j + 1] = 1;
}
if (temp % 2) {
num[4 * j] = 1;
}
j++;
}
flag = 0;
}
void random(int n)
{
bi temp;
srand((int)time(0));
for (int i = 0; i < n; i++)
{
int x = rand() % 2;
if (x == 1)
num[i] = true;
else
num[i] = false;
}
for (int i = max - 1; i >= n; i--)
{
num[i] = false;
}
num[n - 1] = true;
num[0] = true;
}
friend bi operator+(bi a, bi b)
{
bi result;
int i;
bool temp = 0;
if (a.flag == b.flag) {
for (i = 0; i < max; i++) {
if (a[i] == 0 && b[i] == 0 && temp == 0) {
result.make(i, 0);
temp = 0;
}
else {
if (a[i] == 1 && b[i] == 0 && temp == 0 ||
a[i] == 0 && b[i] == 1 && temp == 0 ||
a[i] == 0 && b[i] == 0 && temp == 1) {
temp = 0;
result.make(i, 1);
}
else {
if (a[i] == 1 && b[i] == 1 && temp == 0 ||
a[i] == 0 && b[i] == 1 && temp == 1 ||
a[i] == 1 && b[i] == 0 && temp == 1) {
temp = 1;
result.make(i, 0);
}
else {
if (a[i] == 1 && b[i] == 1 && temp == 1) {
temp = 1;
result.make(i, 1);
}
}
}
}
}
result.flag = a.flag;
}
if (a.flag == 0 && b.flag == 1) {
b.Num_Not();
return a - b;
}
if (a.flag == 1 && b.flag == 0) {
a.Num_Not();
return b - a;
}
if (temp) {
cout << "Overflow" << endl;
}
return result;
}
friend bi operator-(bi a, bi b)
{
bi result;
int i;
bool temp = 0;
if (a.flag == b.flag) {
if (!(b.abs() > a.abs())) {
for (i = 0; i < max; i++) {
if (a[i] == 0 && b[i] == 0 && temp == 0 ||
a[i] == 1 && b[i] == 0 && temp == 1 ||
a[i] == 1 && b[i] == 1 && temp == 0) {
result.make(i, 0);
temp = 0;
}
else {
if (a[i] == 0 && b[i] == 0 && temp == 1 ||
a[i] == 0 && b[i] == 1 && temp == 0 ||
a[i] == 1 && b[i] == 1 && temp == 1) {
temp = 1;
result.make(i, 1);
}
else {
if (a[i] == 0 && b[i] == 1 && temp == 1) {
temp = 1;
result.make(i, 0);
}
else {
if (a[i] == 1 && b[i] == 0 && temp == 0) {
temp = 0;
result.make(i, 1);
}
}
}
}
}
result.flag = a.flag;
}
else {
result = (b - a);
result.flag = !a.flag;
}
}
if (a.flag == 0 && b.flag == 1) {
b.Num_Not();
return a + b;
}
if (a.flag == 1 && b.flag == 0) {
b.Num_Not();
return a + b;
}
if (temp) {
cout << "Overflow" << endl;
}
return result;
}
friend bi operator*(bi a, bi b)
{
bi result;
int i;
bool first = true;
for (i = 0; i < max; i++) {
if (b[i] == 1) {
result = result + a;
}
a.leftMove(1);
}
if (a.flag == b.flag) {
result.flag = 0;
}
else {
result.flag = 1;
}
return result;
}
friend bi operator/(bi a, bi b)
{
bi count("0");
if (a.flag == b.flag) {
count.flag = 0;
}
else {
count.flag = 1;
}
int i, j;
bi tempA = a, tempB = b, ZERO("0");
if (ZERO > tempA) {
tempA.Num_Not();
}
if (ZERO > tempB) {
tempB.Num_Not();
}
for (j = max - 1; j >= 0; j--) {
if (b[j]) {
break;
}
}
bi tempBB = tempB;
for (i = max - j - 1; i >= 0; i--) {
tempBB = tempB;
tempBB.leftMove(i);
if (!(tempBB > tempA)) {
count.make(i, 1);
tempA = tempA - tempBB;
}
}
return count;
}
friend bi operator%(bi a, bi b)
{
bi result;
result = a - (a / b)*b;
return result;
}
friend bool operator>(bi a, bi b)
{
bool Bigger = 0;
int i;
if (a.flag == 0 && b.flag == 1) {
Bigger = true;
bool allZERO = true;
for (i = 0; i < max; i++) {
if (a[i] != 0 || b[i] != 0) {
allZERO = false;
}
}
if (allZERO) {
Bigger = false;
}
}
else {
if (a.flag == 1 && b.flag == 0) {
Bigger = false;
bool allZERO = true;
for (i = 0; i < max; i++) {
if (a[i] != 0 || b[i] != 0) {
allZERO = false;
}
}
if (allZERO) {
Bigger = false;
}
}
else {
if (a.flag == 0 && b.flag == 0) {
for (i = max - 1; i >= 0; i--) {
if (a[i] == 1 && b[i] == 0) {
Bigger = true;
break;
}
if (a[i] == 0 && b[i] == 1) {
Bigger = false;
break;
}
}
}
else {
for (i = max - 1; i >= 0; i--) {
if (a[i] == 1 && b[i] == 0) {
Bigger = false;
break;
}
if (a[i] == 0 && b[i] == 1) {
Bigger = true;
break;
}
}
}
}
}
return Bigger;
}
friend bool operator==(bi a, bi b)
{
int i;
bool same = true;
if (a.flag != b.flag) {
same = false;
}
for (i = 0; i < max; i++) {
if (a[i] != b[i]) {
same = false;
break;
}
}
return same;
}
friend bool operator!=(bi a, bi b)
{
int i;
if (a.flag != b.flag) {
return true;
}
for (i = 0; i < max; i++) {
if (a[i] != b[i]) {
return true;
}
}
return false;
}
bi modMult(bi a, bi b, bi c)
{
bi result;
int i;
bool first = true;
for (i = 0; i < max; i++) {
if (b[i] == 1) {
result = result + a;
while (result > c)
result = result - c;
}
a.leftMove(1);
while (a > c)
a = a - c;
}
if (a.flag == b.flag) {
result.flag = 0;
}
else {
result.flag = 1;
}
return result;
}
bi exp(bi x, bi y)
{
bi d("1");
int i = max - 1;
while (!x[i]) {
i--;
}
int j;
for (j = i; j >= 0; j--) {
d = modMult(d, d, y);
if (x[j]) {
d = modMult(d, (*this), y);
}
}
return d;
}
bi inv(bi x)
{
bi ZERO("0"), ONE("1");
bi x1 = ONE, x2 = ZERO, x3 = x;
bi y1 = ZERO, y2 = ONE, y3 = (*this);
bi t1, t2, t3;
if (y3 == ONE) {
return ONE;
}
bi q;
bi g;
do {
q = x3 / y3;
t1 = x1 - q * y1;
t2 = x2 - q * y2;
t3 = x3 - q * y3;
x1 = y1;
x2 = y2;
x3 = y3;
y1 = t1;
y2 = t2;
y3 = t3;
} while (!(y3 == ONE));
g = y2;
if (!(g > ZERO))
g = x + g;
return g;
}
void leftMove(int i)
{
int k;
for (k = max - 1; k > i - 1; k--) {
num[k] = num[k - i];
}
for (k = 0; k < i; k++) {
num[k] = 0;
}
}
bool operator[](int i)
{
return num[i];
}
void make(int i, bool a)
{
num[i] = a;
}
void out()
{
if (this->flag == 1) {
cout << '-';
}
char result[max];
int i;
for (i = max - 1; i >= 0; i--) {
if ((*this)[i] == 1) {
break;
}
}
i++;
int k;
int length = 0;
switch (i % 4) {
case 1:
length = i + 3;
break;
case 2:
length = i + 2;
break;
case 3:
length = i + 1;
break;
case 0:
length = i;
break;
}
for (k = 0; k < length; k = k + 4) {
if ((*this)[k] == 0 && (*this)[k + 1] == 0 && (*this)[k + 2] == 0 && (*this)[k + 3] == 0) {
result[k / 4] = '0';
}
if ((*this)[k] == 1 && (*this)[k + 1] == 0 && (*this)[k + 2] == 0 && (*this)[k + 3] == 0) {
result[k / 4] = '1';
}
if ((*this)[k] == 0 && (*this)[k + 1] == 1 && (*this)[k + 2] == 0 && (*this)[k + 3] == 0) {
result[k / 4] = '2';
}
if ((*this)[k] == 1 && (*this)[k + 1] == 1 && (*this)[k + 2] == 0 && (*this)[k + 3] == 0) {
result[k / 4] = '3';
}
if ((*this)[k] == 0 && (*this)[k + 1] == 0 && (*this)[k + 2] == 1 && (*this)[k + 3] == 0) {
result[k / 4] = '4';
}
if ((*this)[k] == 1 && (*this)[k + 1] == 0 && (*this)[k + 2] == 1 && (*this)[k + 3] == 0) {
result[k / 4] = '5';
}
if ((*this)[k] == 0 && (*this)[k + 1] == 1 && (*this)[k + 2] == 1 && (*this)[k + 3] == 0) {
result[k / 4] = '6';
}
if ((*this)[k] == 1 && (*this)[k + 1] == 1 && (*this)[k + 2] == 1 && (*this)[k + 3] == 0) {
result[k / 4] = '7';
}
if ((*this)[k] == 0 && (*this)[k + 1] == 0 && (*this)[k + 2] == 0 && (*this)[k + 3] == 1) {
result[k / 4] = '8';
}
if ((*this)[k] == 1 && (*this)[k + 1] == 0 && (*this)[k + 2] == 0 && (*this)[k + 3] == 1) {
result[k / 4] = '9';
}
if ((*this)[k] == 0 && (*this)[k + 1] == 1 && (*this)[k + 2] == 0 && (*this)[k + 3] == 1) {
result[k / 4] = 'A';
}
if ((*this)[k] == 1 && (*this)[k + 1] == 1 && (*this)[k + 2] == 0 && (*this)[k + 3] == 1) {
result[k / 4] = 'B';
}
if ((*this)[k] == 0 && (*this)[k + 1] == 0 && (*this)[k + 2] == 1 && (*this)[k + 3] == 1) {
result[k / 4] = 'C';
}
if ((*this)[k] == 1 && (*this)[k + 1] == 0 && (*this)[k + 2] == 1 && (*this)[k + 3] == 1) {
result[k / 4] = 'D';
}
if ((*this)[k] == 0 && (*this)[k + 1] == 1 && (*this)[k + 2] == 1 && (*this)[k + 3] == 1) {
result[k / 4] = 'E';
}
if ((*this)[k] == 1 && (*this)[k + 1] == 1 && (*this)[k + 2] == 1 && (*this)[k + 3] == 1) {
result[k / 4] = 'F';
}
}
if (i == 0) {
cout << '0' << endl;
}
else {
for (i = (k / 4) - 1; i >= 0; i--) {
cout << result[i];
}
cout << endl;
}
}
void Num_Not()
{
this->flag = !(this->flag);
}
bi abs()
{
bi temp = (*this);
if (temp.flag == 0) {
return temp;
}
else {
temp.Num_Not();
return temp;
}
}
};