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<p><span lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>5.28
<o:p></o:p></span></p>
<p><span lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>void
MPList_PianDao(MPList &L)//</span><span style='mso-bidi-font-size:10.0pt;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>对广义表存储结构的多元多项式求第一变元的偏导</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
{<br>
for(p=L->hp->tp;p&&p->exp;pre=p,p=p->tp)<br>
{<br>
if(p->tag) Mul(p->hp,p->exp);<br>
else p->coef*=p->exp; //</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>把指数乘在本结点或其下属结点上</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
p->exp--;<br>
}<br>
pre->tp=NULL;<br>
if(p) free (p); //</span><span style='mso-bidi-font-size:10.0pt;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>删除可能存在的常数项</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
}//MPList_PianDao <o:p></o:p></span></p>
<p><span lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>void
Mul(MPList &L,int x)//</span><span style='mso-bidi-font-size:10.0pt;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>递归算法</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>,</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>对多元多项式</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>L</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>乘以</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>x<br>
{<br>
for(p=L;p;p=p->tp)<br>
{<br>
if(!p->tag) p->coef*=x;<br>
else Mul(p->hp,x);<br>
}<br>
}//Mul<br>
<br>
5.29 <o:p></o:p></span></p>
<p><span lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>void
MPList_Add(MPList A,MPList B,MPList &C)//</span><span style='mso-bidi-font-size:
10.0pt;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>广义表存储结构的多项式相加的递归算法</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
{<br>
C=(MPLNode*)malloc(sizeof(MPLNode));<br>
if(!A->tag&&!B->tag) //</span><span style='mso-bidi-font-size:
10.0pt;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>原子项</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>,</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>可直接相加</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
{<br>
C->coef=A->coef+B->coef;<br>
if(!C->coef)<br>
{<br>
free(C);<br>
C=NULL;<br>
}<br>
}//if<br>
else if(A->tag&&B->tag) //</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>两个多项式相加</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
{<br>
p=A;q=B;pre=NULL;<br>
while(p&&q)<br>
{<br>
if(p->exp==q->exp)<br>
{<br>
C=(MPLNode*)malloc(sizeof(MPLNode));<br>
C->exp=p->exp;<br>
MPList_Add(A->hp,B->hp,C->hp);<br>
pre->tp=C;pre=C;<br>
p=p->tp;q=q->tp;<br>
}<br>
else if(p->exp>q->exp)<br>
{<br>
C=(MPLNode*)malloc(sizeof(MPLNode));<br>
C->exp=p->exp;<br>
C->hp=A->hp;<br>
pre->tp=C;pre=C;<br>
p=p->tp;<br>
}<br>
else<br>
{<br>
C=(MPLNode*)malloc(sizeof(MPLNode));<br>
C->exp=q->exp;<br>
C->hp=B->hp;<br>
pre->tp=C;pre=C;<br>
q=q->tp;<br>
}<br>
}//while<br>
while(p)<br>
{<br>
C=(MPLNode*)malloc(sizeof(MPLNode));<br>
C->exp=p->exp;<br>
C->hp=p->hp;<br>
pre->tp=C;pre=C;<br>
p=p->tp;<br>
}<br>
while(q)<br>
{<br>
C=(MPLNode*)malloc(sizeof(MPLNode));<br>
C->exp=q->exp;<br>
C->hp=q->hp;<br>
pre->tp=C;pre=C;<br>
q=q->tp;<br>
} //</span><span style='mso-bidi-font-size:10.0pt;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>将其同次项分别相加得到新的多项式</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>,</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>原理见第二章多项式相加一题</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
}//else if<br>
else if(A->tag&&!B->tag) //</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>多项式和常数项相加</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
{<br>
x=B->coef;<br>
for(p=A;p->tp->tp;p=p->tp);<br>
if(p->tp->exp==0) p->tp->coef+=x; //</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>当多项式中含有常数项时</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>,</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>加上常数项</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
if(!p->tp->coef)<br>
{<br>
free(p->tp);<br>
p->tp=NULL;<br>
}<br>
else<br>
{<br>
q=(MPLNode*)malloc(sizeof(MPLNode));<br>
q->coef=x;q->exp=0;<br>
q->tag=0;q->tp=NULL;<br>
p->tp=q;<br>
} //</span><span style='mso-bidi-font-size:10.0pt;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>否则新建常数项</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>,</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>下同</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
}//else if<br>
else<br>
{<br>
x=A->coef;<br>
for(p=B;p->tp->tp;p=p->tp);<br>
if(p->tp->exp==0) p->tp->coef+=x;<br>
if(!p->tp->coef)<br>
{<br>
free(p->tp);<br>
p->tp=NULL;<br>
}<br>
else<br>
{<br>
q=(MPLNode*)malloc(sizeof(MPLNode));<br>
q->coef=x;q->exp=0;<br>
q->tag=0;q->tp=NULL;<br>
p->tp=q;<br>
}<br>
}//else<br>
}//MPList_Add <o:p></o:p></span></p>
<p><span lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>5.30
<o:p></o:p></span></p>
<p><span lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>int
GList_Getdeph(GList L)//</span><span style='mso-bidi-font-size:10.0pt;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>求广义表深度的递归算法</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
{<br>
if(!L->tag) return 0; //</span><span style='mso-bidi-font-size:
10.0pt;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>原子深度为</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>0<br>
else if(!L) return 1; //</span><span style='mso-bidi-font-size:
10.0pt;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>空表深度为</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>1<br>
m=GList_Getdeph(L->ptr.hp)+1;<br>
n=GList_Getdeph(L->ptr.tp);<br>
return m>n?m:n;<br>
}//GList_Getdeph <o:p></o:p></span></p>
<p><span lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>5.31
<o:p></o:p></span></p>
<p><span lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>void
GList_Copy(GList A,GList &B)//</span><span style='mso-bidi-font-size:10.0pt;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>复制广义表的递归算法</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
{<br>
if(!A->tag) //</span><span style='mso-bidi-font-size:10.0pt;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>当结点为原子时</span><span
lang=EN-US style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'>,</span><span
style='mso-bidi-font-size:10.0pt;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>直接复制</span><span lang=EN-US
style='mso-bidi-font-size:10.0pt;font-family:"Times New Roman"'><br>
{<br>
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