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/**************************************************************************
* *
* Regina - A Normal Surface Theory Calculator *
* Computational Engine *
* *
* Copyright (c) 1999-2025, Ben Burton *
* For further details contact Ben Burton (bab@debian.org). *
* *
* This program is free software; you can redistribute it and/or *
* modify it under the terms of the GNU General Public License as *
* published by the Free Software Foundation; either version 2 of the *
* License, or (at your option) any later version. *
* *
* As an exception, when this program is distributed through (i) the *
* App Store by Apple Inc.; (ii) the Mac App Store by Apple Inc.; or *
* (iii) Google Play by Google Inc., then that store may impose any *
* digital rights management, device limits and/or redistribution *
* restrictions that are required by its terms of service. *
* *
* This program is distributed in the hope that it will be useful, but *
* WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* General Public License for more details. *
* *
* You should have received a copy of the GNU General Public License *
* along with this program. If not, see <https://www.gnu.org/licenses/>. *
* *
**************************************************************************/
#include "link/link.h"
#include "utilities/fixedarray.h"
#include <cctype>
#include <climits>
#include <cstdlib>
#include <sstream>
namespace {
/**
* We cannot make this constexpr due to the use of ::isspace().
*/
inline bool isSymbolSep(char c) {
return ::isspace(c) || c == ',' ||
c == '[' || c == ']' ||
c == '(' || c == ')' ||
c == '{' || c == '}';
}
inline constexpr bool isDoubleAlphaSep(char a, char b) {
return (a == 'P' && b == 'D') ||
(a == 'X' && (b == 'p' || b == 'm'));
}
inline constexpr bool isSingleAlphaSep(char c) {
return c == 'X' || c == 'P';
}
}
namespace regina {
Link Link::fromPD(const std::string& s) {
std::vector<std::array<long, 4>> tuples;
std::array<long, 4> tuple;
int index = 0;
const char* begin = s.c_str();
char* end;
while (true) {
// Find the next integer.
while (*begin) {
if (::isdigit(*begin))
break;
if (isSymbolSep(*begin))
++begin;
else if (isDoubleAlphaSep(*begin, *(begin + 1)))
begin += 2;
else if (isSingleAlphaSep(*begin))
++begin;
else
throw InvalidArgument("fromPD(): invalid separator symbol(s)");
}
if (! *begin)
break;
long next = ::strtol(begin, &end, 10);
if (next <= 0 || next == LONG_MAX /* overflow */)
throw InvalidArgument("fromPD(): invalid integer in sequence");
tuple[index++] = next;
if (index == 4) {
tuples.push_back(tuple);
index = 0;
}
begin = end;
}
if (index != 0)
throw InvalidArgument("fromPD(): sequence length not a multiple of 4");
return fromPD(tuples.begin(), tuples.end());
}
std::vector<std::array<int, 4>> Link::pdData() const {
if (2 * crossings_.size() > INT_MAX)
throw NotImplemented("This planar diagram code has "
"entries that cannot fit into a C++ int");
const int n = static_cast<int>(crossings_.size());
std::vector<std::array<int, 4>> ans;
ans.reserve(n);
// Build a lookup table from StrandRef::id() -> PD strand number:
FixedArray<int> strand(2 * n);
int pdStrand = 1;
for (auto start : components_) {
if (! start)
continue;
StrandRef s = start;
do {
strand[s.id()] = pdStrand++;
++s;
} while (s != start);
}
// Now process each crossing in turn:
for (auto start : components_) {
if (! start)
continue;
StrandRef s = start;
do {
const StrandRef next = s.next();
if (next.strand() == 0) {
// Strand s enters the next crossing from beneath.
// Identify the other two strands involved.
const StrandRef upperOut(next.crossing(), 1);
const StrandRef upperIn = upperOut.prev();
if (next.crossing()->sign() > 0) {
// lower in, upper out, lower out, upper in
ans.push_back({ strand[s.id()], strand[upperOut.id()],
strand[next.id()], strand[upperIn.id()] });
} else {
// lower in, upper in, lower out, upper out
ans.push_back({ strand[s.id()], strand[upperIn.id()],
strand[next.id()], strand[upperOut.id()] });
}
}
s = next;
} while (s != start);
}
return ans;
}
std::string Link::pd() const {
std::ostringstream out;
pd(out);
return out.str();
}
void Link::pd(std::ostream& out) const {
const size_t n = crossings_.size();
out << "PD[";
bool nonEmpty = false;
// Build a lookup table from StrandRef::id() -> PD strand number:
FixedArray<size_t> strand(2 * n);
size_t pdStrand = 1;
for (auto start : components_) {
if (! start)
continue;
StrandRef s = start;
do {
strand[s.id()] = pdStrand++;
++s;
} while (s != start);
}
// Now process each crossing in turn:
for (auto start : components_) {
if (! start)
continue;
StrandRef s = start;
do {
const StrandRef next = s.next();
if (next.strand() == 0) {
// Strand s enters the next crossing from beneath.
// Identify the other two strands involved.
const StrandRef upperOut(next.crossing(), 1);
const StrandRef upperIn = upperOut.prev();
if (nonEmpty)
out << ", ";
else
nonEmpty = true;
out << "X[" << strand[s.id()] << ", ";
if (next.crossing()->sign() > 0) {
// lower in, upper out, lower out, upper in
out << strand[upperOut.id()] << ", "
<< strand[next.id()] << ", "
<< strand[upperIn.id()];
} else {
// lower in, upper in, lower out, upper out
out << strand[upperIn.id()] << ", "
<< strand[next.id()] << ", "
<< strand[upperOut.id()];
}
out << ']';
}
s = next;
} while (s != start);
}
out << ']';
}
bool Link::pdAmbiguous() const {
for (StrandRef c : components_) {
if (! c)
continue;
bool allOver = true;
StrandRef s = c;
do {
if (s.strand() == 0) {
allOver = false;
break;
}
++s;
} while (allOver && s != c);
if (allOver)
return true;
}
return false;
}
} // namespace regina
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