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scmath.cpp
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172 lines (159 loc) · 6.47 KB
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#include "scmath.h"
void Simplificate(BasicNode *&now)
{
if(now->getType() != Fun)
return;
FunNode* tempNow = (FunNode*)now;
//处理加减乘除的拆括号问题
if(tempNow->getEntity()->NAME == "*" || tempNow->getEntity()->NAME == "/")
{
if(tempNow->sonNode[0]->getType() == Fun){
FunNode* tempson = (FunNode*)(tempNow->sonNode[0]);
if(tempson->getEntity()->NAME == "+" || tempson->getEntity()->NAME == "-")
{
//处理 (1+2)*3 (1+2)/3 乘除法左操作树为加减法这种情况
FunNode* newnow = new FunNode(tempson->getEntity());
for(int i = 0; i <= 1; i++){
FunNode* newson = new FunNode(tempNow->getEntity());
newson->addNode(copyHelp::copyNode(tempson->sonNode[i]));
newson->addNode(copyHelp::copyNode(tempNow->sonNode[1]));
newnow->addNode(newson);
}
delete now;
now = newnow;
tempNow = (FunNode*)now;
}
}
}
if(tempNow->getEntity()->NAME == "*")
{
if(tempNow->sonNode[1]->getType() == Fun){
FunNode* tempson = (FunNode*)(tempNow->sonNode[1]);
if(tempson->getEntity()->NAME == "+" || tempson->getEntity()->NAME == "-")
{
//处理 1*(2+3) 乘法右操作树为加减法这种情况
FunNode* newnow = new FunNode(tempson->getEntity());
for(int i = 0; i <= 1; i++)
{
FunNode* newson = new FunNode(tempNow->getEntity());
newson->addNode(copyHelp::copyNode(tempNow->sonNode[0]));
newson->addNode(copyHelp::copyNode(tempson->sonNode[i]));
newnow->addNode(newson);
}
delete now;
now = newnow;
tempNow = (FunNode*)now;
}
}
}
//化简各个子树
for(int i = 0; i < tempNow->getEntity()->getParnum(); i++)
Simplificate(now->sonNode[i]);
//处理某个值为0/1的问题
//为了防止将(0+0)+1化简为0+1就停止,这里用从叶向上的方法
if(tempNow->getEntity()->NAME == "+")//加法某个树为0
{
for(int i = 0; i <= 1; i++){
if(tempNow->sonNode[i]->getType() == Num && ((NumNode*)(tempNow->sonNode[i]))->getNum() == 0){
BasicNode * newnow = copyHelp::copyNode(tempNow->sonNode[i ^ 1]);
delete now;
now = newnow;
return;
}
}
}
if(tempNow->getEntity()->NAME == "*")//乘法某个树为1
{
for(int i = 0; i <= 1; i++){
if(tempNow->sonNode[i]->getType() == Num && ((NumNode*)(tempNow->sonNode[i]))->getNum() == 1){
BasicNode * newnow = copyHelp::copyNode(tempNow->sonNode[i ^ 1]);
delete now;
now = newnow;
return;
}
}
}
if(tempNow->getEntity()->NAME == "*")//乘法某个树为0
{
for(int i = 0; i <= 1; i++){
if(tempNow->sonNode[i]->getType() == Num && ((NumNode*)(tempNow->sonNode[i]))->getNum() == 0){
BasicNode * newnow = new NumNode(0);
delete now;
now = newnow;
return;
}
}
}
if(tempNow->getEntity()->NAME == "-")//减法右树为0
{
if(tempNow->sonNode[1]->getType() == Num && ((NumNode*)(tempNow->sonNode[1]))->getNum() == 0){
BasicNode * newnow = copyHelp::copyNode(tempNow->sonNode[0]);
delete now;
now = newnow;
return;
}
}
//减法左树为0不变
if(tempNow->getEntity()->NAME == "/")//除法左树为0
{
if(tempNow->sonNode[0]->getType() == Num && ((NumNode*)(tempNow->sonNode[0]))->getNum() == 0){
BasicNode * newnow = new NumNode(0);
delete now;
now = newnow;
return;
}
}
//warn:除法右树为0应该报错
}
BasicNode* Derivation(BasicNode* now, const string &value){
if(now->getType() == Num)//数字的导数为0
return new NumNode(0);
if(now->getType() == Var && ((VarNode*)now)->NAME != value)//其它变量的导数为0
return new NumNode(0);
if(now->getType() == Var && ((VarNode*)now)->NAME == value)//自己的导数为1
return new NumNode(1);
if(now->getType() == Fun){
FunNode* temp = (FunNode*)now;
string op = temp->getEntity()->NAME;
if(op == "+" || op == "-")//加减法
{
FunNode* retn = new FunNode(temp->getEntity());
for(int i = 0; i <= 1; i++)
retn->addNode(Derivation(temp->sonNode[i], value));
return retn;
}
if(op == "*")//乘法
{
FunNode* retn = new FunNode(record::globalScope.functionList["+"]);
for(int i = 0; i <= 1; i++)
{
FunNode* retnson = new FunNode(temp->getEntity());
retnson->addNode(Derivation(temp->sonNode[i], value));
retnson->addNode(copyHelp::copyNode(temp->sonNode[i ^ 1]));
//当i==0(左树)的时候,i^1==1(右树) 当i==1(右树)的时候,i^1==0(左树)
retn->addNode(retnson);
}
return retn;
}
if(op == "/")//除法
{
FunNode* retn = new FunNode(temp->getEntity());
FunNode* retnson = new FunNode(record::globalScope.functionList["-"]);
FunNode* retnsonson = new FunNode(record::globalScope.functionList["*"]);//忽略这个粗糙的变量名称
retnsonson->addNode(Derivation(temp->sonNode[0], value));
retnsonson->addNode(copyHelp::copyNode(temp->sonNode[1]));
retnson->addNode(retnsonson);
retnsonson = new FunNode(record::globalScope.functionList["*"]);
retnsonson->addNode(Derivation(temp->sonNode[1], value));
retnsonson->addNode(copyHelp::copyNode(temp->sonNode[0]));
retnson->addNode(retnsonson);
retn->addNode(retnson);//返回的树的分子部分
retnson = new FunNode(record::globalScope.functionList["^"]);
retnson->addNode(copyHelp::copyNode(temp->sonNode[1]));
retnson->addNode(new NumNode(2));
retn->addNode(retnson);//分母部分
return retn;
}
}
//warn:其它函数还没有写
}