Negative base numbers: Difference between revisions

(Rescued Java entry which had become embedded in J entry.)
Line 98:
Algol 68 decodes to: -36492107981104 base -63
</pre>
 
=={{header|C++}}==
{{trans|C#}}
<lang cpp>#include <iomanip>
#include <iostream>
#include <tuple>
#include <vector>
 
const std::string DIGITS = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz";
 
std::string encodeNegativeBase(int64_t n, int b) {
if (b < -62 || b > -1) {
throw std::runtime_error("Argument out of range: b");
}
if (n == 0) {
return "0";
}
 
std::string output;
int64_t nn = n;
while (nn != 0) {
int rem = nn % b;
nn /= b;
if (rem < 0) {
nn++;
rem -= b;
}
output += DIGITS[rem];
}
 
std::reverse(output.begin(), output.end());
return output;
}
 
int64_t decodeNegativeBase(const std::string& ns, int b) {
if (b < -62 || b > -1) {
throw std::runtime_error("Argument out of range: b");
}
if (ns == "0") {
return 0;
}
 
int64_t total = 0;
int64_t bb = 1;
 
for (auto it = ns.crbegin(); it != ns.crend(); it = std::next(it)) {
auto ptr = std::find(DIGITS.cbegin(), DIGITS.cend(), *it);
if (ptr != DIGITS.cend()) {
auto idx = ptr - DIGITS.cbegin();
total += idx * bb;
}
bb *= b;
}
return total;
}
 
int main() {
using namespace std;
 
vector<pair<int64_t, int>> nbl({
make_pair(10, -2),
make_pair(146, -3),
make_pair(15, -10),
make_pair(142961, -62)
});
 
for (auto& p : nbl) {
string ns = encodeNegativeBase(p.first, p.second);
cout << setw(12) << p.first << " encoded in base " << setw(3) << p.second << " = " << ns.c_str() << endl;
 
int64_t n = decodeNegativeBase(ns, p.second);
cout << setw(12) << ns.c_str() << " decoded in base " << setw(3) << p.second << " = " << n << endl;
 
cout << endl;
}
 
return 0;
}</lang>
{{out}}
<pre> 10 encoded in base -2 = 11110
11110 decoded in base -2 = 10
 
146 encoded in base -3 = 21102
21102 decoded in base -3 = 146
 
15 encoded in base -10 = 195
195 decoded in base -10 = 15
 
142961 encoded in base -62 = cpp
cpp decoded in base -62 = 142961</pre>
 
=={{header|C#|C sharp}}==
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