RosettaCodeData/Task/Zeckendorf-arithmetic/D/zeckendorf-arithmetic.d
2023-07-01 13:44:08 -04:00

172 lines
3.6 KiB
D

import std.stdio;
int inv(int a) {
return a ^ -1;
}
class Zeckendorf {
private int dVal;
private int dLen;
private void a(int n) {
auto i = n;
while (true) {
if (dLen < i) dLen = i;
auto j = (dVal >> (i * 2)) & 3;
switch(j) {
case 0:
case 1:
return;
case 2:
if (((dVal >> ((i + 1) * 2)) & 1) != 1) return;
dVal += 1 << (i * 2 + 1);
return;
case 3:
dVal = dVal & (3 << (i * 2)).inv();
b((i + 1) * 2);
break;
default:
assert(false);
}
i++;
}
}
private void b(int pos) {
if (pos == 0) {
this++;
return;
}
if (((dVal >> pos) & 1) == 0) {
dVal += 1 << pos;
a(pos / 2);
if (pos > 1) a(pos / 2 - 1);
} else {
dVal = dVal & (1 << pos).inv();
b(pos + 1);
b(pos - (pos > 1 ? 2 : 1));
}
}
private void c(int pos) {
if (((dVal >> pos) & 1) == 1) {
dVal = dVal & (1 << pos).inv();
return;
}
c(pos + 1);
if (pos > 0) {
b(pos - 1);
} else {
++this;
}
}
this(string x = "0") {
int q = 1;
int i = x.length - 1;
dLen = i / 2;
while (i >= 0) {
dVal += (x[i] - '0') * q;
q *= 2;
i--;
}
}
auto opUnary(string op : "++")() {
dVal += 1;
a(0);
return this;
}
void opOpAssign(string op : "+")(Zeckendorf rhs) {
foreach (gn; 0..(rhs.dLen + 1) * 2) {
if (((rhs.dVal >> gn) & 1) == 1) {
b(gn);
}
}
}
void opOpAssign(string op : "-")(Zeckendorf rhs) {
foreach (gn; 0..(rhs.dLen + 1) * 2) {
if (((rhs.dVal >> gn) & 1) == 1) {
c(gn);
}
}
while ((((dVal >> dLen * 2) & 3) == 0) || (dLen == 0)) {
dLen--;
}
}
void opOpAssign(string op : "*")(Zeckendorf rhs) {
auto na = rhs.dup;
auto nb = rhs.dup;
Zeckendorf nt;
auto nr = "0".Z;
foreach (i; 0..(dLen + 1) * 2) {
if (((dVal >> i) & 1) > 0) nr += nb;
nt = nb.dup;
nb += na;
na = nt.dup;
}
dVal = nr.dVal;
dLen = nr.dLen;
}
void toString(scope void delegate(const(char)[]) sink) const {
if (dVal == 0) {
sink("0");
return;
}
sink(dig1[(dVal >> (dLen * 2)) & 3]);
foreach_reverse (i; 0..dLen) {
sink(dig[(dVal >> (i * 2)) & 3]);
}
}
Zeckendorf dup() {
auto z = "0".Z;
z.dVal = dVal;
z.dLen = dLen;
return z;
}
enum dig = ["00", "01", "10"];
enum dig1 = ["", "1", "10"];
}
auto Z(string val) {
return new Zeckendorf(val);
}
void main() {
writeln("Addition:");
auto g = "10".Z;
g += "10".Z;
writeln(g);
g += "10".Z;
writeln(g);
g += "1001".Z;
writeln(g);
g += "1000".Z;
writeln(g);
g += "10101".Z;
writeln(g);
writeln();
writeln("Subtraction:");
g = "1000".Z;
g -= "101".Z;
writeln(g);
g = "10101010".Z;
g -= "1010101".Z;
writeln(g);
writeln();
writeln("Multiplication:");
g = "1001".Z;
g *= "101".Z;
writeln(g);
g = "101010".Z;
g += "101".Z;
writeln(g);
}