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BigInt.m
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178 lines (171 loc) · 5.77 KB
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classdef BigInt
properties
digits=0;
end
methods
function obj=BigInt(n)
if nargin==0
obj.digits=0;
elseif nargin==1 && ischar(n)
n=n-'0';
for i=1:numel(n)
if n(i)<1 || n(i)>9
error('Input error!');
end
end
obj.digits=n;
elseif nargin==1 && iscellstr(n)
obj(size(n,1),size(n,2))=BigInt; %pre-allocation
for i=1:numel(n)
n{i}=n{i}-'0';
for j=1:numel(n{i})
if n{i}(j)<1 || n{i}(j)>9
error('Input error!');
end
end
obj(i).digits=n{i};
end
elseif nargin==1 && isa(n,'double')
obj(size(n,1),size(n,2))=BigInt;
tmp={};
for i=1:numel(n)
if(n(i)<0)
error('Input error!');
end
tmp{i}=num2str(n(i));
tmp{i}=tmp{i}-'0';
obj(i).digits=tmp{i};
end
else
error('Input error!');
end
end
function int=make_int(n)
sum=zeros(size(n,1),size(n,2));
for i=1:numel(n)
time=1;
for j=numel(n(i).digits):-1:1
tmp=n(i).digits(j)*time;
sum(i)=sum(i)+tmp;
time=time*10;
end
end
int=sum;
end
function disp(n)
int=make_int(n);
for y=1:size(n,2)
for x=1:size(n,1)
fprintf('(%d,%d)\t%d\n',x,y,int(x,y));
end
end
end
function n=plus(a,b)
if isa(a,'BigInt') && ~isa(b,'BigInt')
n=a;
for i=1:numel(n)
n(i).digits(end)=n(i).digits(end)+b;
end
elseif ~isa(a,'BigInt') && isa(b,'BigInt')
n=b;
for i=1:numel(n)
n(i).digits(end)=n(i).digits(end)+a;
end
else
if numel(a)==1
n=b;
for i=1:numel(n)
n(i).digits(end)=n(i).digits(end)+make_int(a);
end
elseif numel(b)==1
n=a;
for i=1:numel(n)
n(i).digits(end)=n(i).digits(end)+make_int(b);
end
else
n=make_int(a)+make_int(b);
n=BigInt(n);
end
end
for i=1:numel(n)
carry=0;
for j=numel(n(i).digits):-1:1
n(i).digits(j)=n(i).digits(j)+carry;
carry=floor(n(i).digits(j)/10);
n(i).digits(j)=mod(n(i).digits(j),10);
end
while carry
digit=mod(carry,10);
n(i).digits=[digit n(i).digits];
carry=carry-digit;
carry=carry/10;
end
end
end
function n=times(a,b)
if ~isempty(find((size(a)~=size(b))==1,1)) || ~isa(a,'BigInt') || ~isa(b,'BigInt')
error('Input error!');
end
n=BigInt(zeros(size(a)));
for i=1:numel(n)
n(i).digits=conv(a(i).digits,b(i).digits);
end
for i=1:numel(n)
carry=0;
for j=numel(n(i).digits):-1:1
n(i).digits(j)=n(i).digits(j)+carry;
carry=floor(n(i).digits(j)/10);
n(i).digits(j)=mod(n(i).digits(j),10);
end
while carry
digit=mod(carry,10);
n(i).digits=[digit n(i).digits];
carry=carry-digit;
carry=carry/10;
end
end
end
function n=mtimes(a,b)
if isa(a,'BigInt') && ~isa(b,'BigInt')
n=make_int(a)*b;
elseif ~isa(a,'BigInt') && isa(b,'BigInt')
n=a*make_int(b);
else
n=make_int(a)*make_int(b);
end
n=BigInt(n);
for i=1:numel(n)
carry=0;
for j=numel(n(i).digits):-1:1
n(i).digits(j)=n(i).digits(j)+carry;
carry=floor(n(i).digits(j)/10);
n(i).digits(j)=mod(n(i).digits(j),10);
end
while carry
digit=mod(carry,10);
n(i).digits=[digit n(i).digits];
carry=carry-digit;
carry=carry/10;
end
end
end
function bool=eq(a,b)
bool=0;
if numel(a)==numel(b)
for i=1:numel(a)
if numel(a(i).digits)==numel(b(i).digits)
for j=1:numel(a(i).digits)
if a(i).digits(j)~=b(i).digits(j)
break;
end
if j==numel(a(numel(a)).digits)
bool=1;
end
end
end
end
end
bool=logical(bool);
end
end
end