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//大数减法 Iz}2 ^  
void vlong_value::subtract( vlong_value & x ) tw'hh@7-Y  
{}  
unsigned N = n; .!JMPf"QEI  
for (unsigned i=0;i<N;i+=1) b JfD\  
{} NW{} 4~O6$;!|~  
} Dd| "iA  
96c"I;\GXX  
//使用无符号整数x初始化大数 br0u@G  
void vlong_value::init( unsigned x ) $ZQ"({} (lb6]MtTHY  
:.#z  
//将参数x（大数类型）值赋给本实例 bA}Z0a  
void vlong_value::copy( vlong_value& x ) k, f)2<  
{}ng_c  
unsigned i=x.n; m}98bw  
while (i) {} *zq.C  
} f`9JE8  
    P/ci/y_1  
vlong_value::vlong_value() pp rejUR  
{} YZ+>\ x  
&y7 0  
//大数乘法 1?(cmXj  
void vlong_value::mul( vlong_value& x, vlong_value& y ) 4qt+uNe!  
{} cGNvEM(4AV  
S ZlC4=6c  
//大数除法 mQ}Gh_'ps  
void vlong_value::divide( vlong_value& x, vlong_value& y, vlong_value& rem ) f^p^Y F+  
{} *0y{}<  
  {} PD6_)PXn  
  rem.subtract( m ); XF*.Jg]  
  add( s ); hJ*Ihwn|  
} <*(^{} &|9.}Z8U  
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/*---------------------以上为vlong_value类定义与实现---------------------------*/ iWA|8$u4gm  
PFrfd_s{} .}B(&*9,v  
}  :A1:  
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//大数比较 K`g7$r)U[  
int vlong::cf( const vlong x ) const )h{} (QoI<j""  
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//赋值函数 } :X*7 n(&  
vlong& vlong::operator =(const vlong& x) &?mD$Eo  
{}%KsZ  
if ( value->share ) value->share -=1; else delete value; |B?27PD  
value = x.value; GGnpjwXeH  
value->share += 1; C(00<~JC  
negative = x.negative; 1P~X8=9h  
return *this; ?>I;34tL(  
} 8 7D*-Gw  
sBr_a5QQ#  
//析构函数 =EHUR'  
vlong::~vlong() R8ZK]5{} S: h{} 03q 5e  
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//重载+=运算符 '<"s \,  
vlong& vlong::operator +=(const vlong& x) %J+E/  
{}+A=A=+  
  docopy(); 37s0e;aF  
  value->add( *x.value ); f4fvrL  
} 16 =sij%A  
else if ( value->cf( *x.value ) >= 0 ) x(1:s|Uyp{} Ayxkv)%:@)  
else !|^|,"A)  
{} +^60T$  
return *this; "\: `/k3  
} 01t1Z}!y  
)_HA>o_?C:  
//重载-=运算符 75T%g!c#  
vlong& vlong::operator -=(const vlong& x) NcBIg: V\c  
{}Dw3;W}m  
  docopy(); %~4M+r6T  
  value->add( *x.value ); D+lAhEN  
} )|ju~qbf  
else if ( value->cf( *x.value ) >= 0 ) K@ I 9^b  
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else p_RsU`[  
{} \j$&DCv   
return *this; yuh *  
} sA+ }TNhq  
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Kew@&j~  
//重载 - 运算符，大数减法 _qF+tm  
vlong operator -( const vlong& x, const vlong& y ) v&6-a*<Z  
{}V<*f  
vlong result = x; % aP!hy  
result -= y; 9=s<Ld  
return result; )~X2 &^orW  
} rjK%t|aV^  
P?%s #I:  
//重载 * 运算符，大数乘法  \__i  
vlong operator *( const vlong& x, const vlong& y ) <;lkUU(WT2  
{}  
} YqscZ(L:y  
9i:L&d N  
//重载 / 运算符，大数除法 j;zM{} rSY!vkLE\  
}dX*[I   
//重载 % 运算符，大数求模 hPB9@ hT$  
vlong operator %( const vlong& x, const vlong& y ) f_OQ./`  
{} DeVv4D:}@  
uh0VFL*@  
//辗转相除求最大因子 h 8q[1"a:  
vlong gcd( const vlong &X, const vlong &Y ) 5Pc;5 o0C  
{} 4"(Bu/24  
} F {}"H,h)T  
//密钥产生流程最后一步，Euclid 算法 r|8d 4  
// 返回在1到m-1之间的长整数i,使i*a = 1 mod m Qy<P463A(l  
// a必须为在1到m-1之间的长整数 <$$yw=ef  
vlong modinv( const vlong &a, const vlong &m ) u~:y\/Y6  
{} DJ k/{}\z  
return i; x /S}Q8!"}  
} CyFrb`%  
@V sG'  
/*-----------------------------------以下为vlong类实现-------------------------------*/ <?6|.\&  
L#?Ek-  
@f~RdO3  
/*--------------------------以下为monty类定义与实现-------------------------------*/ {}  
unsigned N;         //R的位（bit）数 NjScc%@y  
void mul( vlong &x, const vlong &y ); e0zq1XcZ  
public: m|n%$$S&  
vlong exp( const vlong &x, const vlong &e ); nZyX|SPk  
monty( const vlong &M ); 7 :xfPx  
}; mt{}  
{} 'Ym9;~(@R  
R1 = modinv( R-m, m ); +T1pJ 89P  
n1 = R - modinv( m, R ); IqaT?+O\?r  
} {}%  
k.value->fast_mul( *T.value, *n1.value, N ); SumF  2  
{} ,F8Yn5h  
Xv5wJ lc!d  
//返回值= (x^e)%(this->m) H7&8\ FNa  
vlong monty::exp( const vlong &x, const vlong &e ) :1. L}4"gg  
{} ~k-y &<UR  
return ( result * R1 ) % m; Tt`u:ZwhF  
} + /4 A  
}1L4 "}L.  
//返回值= (x^e)%m gS!:+G%  
vlong modexp( const vlong & x, const vlong & e, const vlong & m ) xA2YG|RU=b  
{}
lmkzy1234 2006-05-10 23:04
为什么不提供一个包或者工程？既然发出来，是否应该方便大家使用？

fleshwound 2006-05-13 13:25
发出来只是供有些朋友自己写程序时候参考

zjcnchenxi