添加超大数的实现

.idea/workspace.xml

@@ -12,10 +12,11 @@
   </component>
   <component name="ChangeListManager">
     <list default="true" id="0facce0d-c642-4d80-b2fb-daf5f3e68dff" name="Default Changelist" comment="">
-      <change afterPath="$PROJECT_DIR$/obj/inc/rsa.cpp" afterDir="false" />
-      <change afterPath="$PROJECT_DIR$/obj/inc/rsa.h" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/.idea/workspace.xml" beforeDir="false" afterPath="$PROJECT_DIR$/.idea/workspace.xml" afterDir="false" />
       <change beforePath="$PROJECT_DIR$/CMakeLists.txt" beforeDir="false" afterPath="$PROJECT_DIR$/CMakeLists.txt" afterDir="false" />
+      <change beforePath="$PROJECT_DIR$/cmake-build-debug/General.cbp" beforeDir="false" afterPath="$PROJECT_DIR$/cmake-build-debug/General.cbp" afterDir="false" />
+      <change beforePath="$PROJECT_DIR$/obj/inc/rsa.cpp" beforeDir="false" afterPath="$PROJECT_DIR$/obj/inc/rsa.cpp" afterDir="false" />
+      <change beforePath="$PROJECT_DIR$/obj/inc/rsa.h" beforeDir="false" afterPath="$PROJECT_DIR$/obj/inc/rsa.h" afterDir="false" />
     </list>
     <option name="EXCLUDED_CONVERTED_TO_IGNORED" value="true" />
     <option name="SHOW_DIALOG" value="false" />
@@ -84,7 +85,7 @@
       <workItem from="1577933660908" duration="635000" />
       <workItem from="1578153114620" duration="4070000" />
       <workItem from="1578225965728" duration="1215000" />
-      <workItem from="1578280389789" duration="7997000" />
+      <workItem from="1578280389789" duration="12145000" />
     </task>
     <servers />
   </component>

CMakeLists.txt

@@ -6,7 +6,8 @@ INCLUDE_DIRECTORIES (inc)
 aux_source_directory(src DIRSRCS)
 aux_source_directory(src/pattern PaternSrc)
 
-add_library(General ${DIRSRCS} ${PaternSrc} src/pattern/signleton.h src/pattern/Observer.h src/pattern/stratergy.h src/pattern/adapter.h src/encrypt/base64.cpp src/encrypt/base64.h src/encrypt/aes.cpp src/encrypt/aes.h obj/inc/rsa.cpp obj/inc/rsa.h)
+add_library(General ${DIRSRCS} ${PaternSrc} src/pattern/signleton.h src/pattern/Observer.h src/pattern/stratergy.h src/pattern/adapter.h src/encrypt/base64.cpp src/encrypt/base64.h src/encrypt/aes.cpp src/encrypt/aes.h obj/inc/rsa.cpp obj/inc/rsa.h
+        src/math/BigInt.hpp)
 set(COPYITEM inc)
 file(GLOB INCLUDES ${PROJECT_SOURCE_DIR}/inc/*)
 file(COPY ${INCLUDES} DESTINATION ${LIBRARY_OUTPUT_PATH}/inc
@@ -19,4 +20,8 @@ file(COPY ${PatternINCLUDES} DESTINATION ${LIBRARY_OUTPUT_PATH}/inc
 
 file(GLOB EncryptINCLUDES ${PROJECT_SOURCE_DIR}/src/encrypt/*.h)
 file(COPY ${EncryptINCLUDES} DESTINATION ${LIBRARY_OUTPUT_PATH}/inc
+        FILE_PERMISSIONS OWNER_READ OWNER_WRITE GROUP_WRITE GROUP_READ WORLD_READ)
+
+file(GLOB MathINCLUDES ${PROJECT_SOURCE_DIR}/src/encrypt/*.hpp)
+file(COPY ${MathINCLUDES} DESTINATION ${LIBRARY_OUTPUT_PATH}/inc
         FILE_PERMISSIONS OWNER_READ OWNER_WRITE GROUP_WRITE GROUP_READ WORLD_READ)

cmake-build-debug/General.cbp

@@ -108,6 +108,9 @@
 		<Unit filename="D:/project/c++/generallib/src/loger.cpp">
 			<Option target="General"/>
 		</Unit>
+		<Unit filename="D:/project/c++/generallib/src/math/BigInt.hpp">
+			<Option target="General"/>
+		</Unit>
 		<Unit filename="D:/project/c++/generallib/src/pattern/Observer.h">
 			<Option target="General"/>
 		</Unit>

obj/inc/rsa.cpp

@@ -68,6 +68,18 @@ const static int PrimeTable[550]=
             3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001
         };
 
+static int Mod(uint8_t *dat,int size,int table){
+
+}
+/*
+目前的做法是基于费马素性检测
+假如a是整数，p是质数，且a,p互质(即两者只有一个公约数1)，那么a的(p-1)次方除以p的余数恒等于1。
+也就是说, 如果p为素数, 那么对于任何a<p, 有
+a ^ p % p == a   成立
+而它的逆命题则至少有1/2的概率成立
+那么我们就可以通过多次素性检测, 来减少假素数出现的概率
+而素数定理, 又指出了素数的密度与ln(x)成反比, 也就是说, 我们可以先随机生成一个n bit的整数, 如果不是素数, 则继续向后取, 那么, 大概取n个数, 就能碰到一个素数
+ */
 BigInt GetPrime(int bits)
 {
     unsigned i;
@@ -77,7 +89,7 @@ BigInt GetPrime(int bits)
     begin:
     for(i=0;i<m_nLength;i++)
         m_ulValue[i] = rand()*0x10000 + rand();
-    m_ulValue[0] = m_ulValue[0]|1;
+    m_ulValue[0] = m_ulValue[0] | 1;
     for(i = m_nLength - 1;i > 0;i--)
     {
         m_ulValue[i] = m_ulValue[i]<<1;
@@ -88,8 +100,8 @@ BigInt GetPrime(int bits)
     m_ulValue[0]++;
     for(i = 0; i <550;i++)
     {
-        //if(Mod(PrimeTable[i]) == 0)
+        if(Mod(PrimeTable[i]) == 0)
-        //    goto begin;
+            goto begin;
     }
     //CBigInt S,A,I,K;
     //K.Mov(*this);
@@ -181,15 +193,16 @@ bool rabinmiller(size_t n, size_t k)
 }
 
 BigInt::BigInt(int size) {
-
+    memset(this->mDat,0,size);
 }
 
 BigInt::BigInt(int size, uint8_t *dat) {
-
+    memcpy(this->mDat,dat,size);
 }
 
-BigInt BigInt::operator=(const BigInt &) {
+bool BigInt::operator=(BigInt &cmp) {
-    return BigInt(0);
+    return  memcmp((const void *)cmp.Data(),
+            (const void *)this->Data(),this->mSize);
 }
 
 BigInt BigInt::operator>(const BigInt &) {
@@ -208,6 +221,6 @@ string BigInt::ToString() {
     return std::__cxx11::string();
 }
 
-uint8_t *BigInt::Data() {
+const uint8_t *BigInt::Data() {
     return mDat;
 }

obj/inc/rsa.h

@@ -13,12 +13,12 @@ class BigInt{
 public:
     BigInt(int size);
     BigInt(int size,uint8_t *dat);
-    BigInt operator=(const BigInt&);
+    bool operator=(BigInt&);
     BigInt operator>(const BigInt&);
     BigInt operator<(const BigInt&);
     BigInt operator^(const BigInt&);
     string ToString();
-    uint8_t *Data();
+    const uint8_t *Data();
 private:
     uint8_t mDat[2048];
     int mSize;