Files
cw_tree/src/numerics.cpp
Aryadev Chavali 163f1e691a NodeAllocator can now get nodes by value or by reference
Abstracting the interface more, such that callers can use functions
rather than accessing internals directly, allows me to refactor the
allocator without having to do a ton of edits all across the source
tree.
2024-07-26 17:01:20 +01:00

148 lines
3.7 KiB
C++

/* Copyright (C) 2024 Aryadev Chavali
* 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 Version 2 for
* details.
* You may distribute and modify this code under the terms of the GNU General
* Public License Version 2, which you should have received a copy of along with
* this program. If not, please go to <https://www.gnu.org/licenses/>.
* Created: 2024-07-26
* Author: Aryadev Chavali
* Description: Implementation of numerics
*/
#include "./numerics.hpp"
#include <sstream>
Fraction::Fraction(word_t numerator, word_t denominator)
: numerator{numerator}, denominator{denominator},
norm{numerator / ((long double)denominator)}
{
word_t hcf = gcd(MIN(numerator, denominator), MAX(numerator, denominator));
numerator /= hcf;
denominator /= hcf;
}
// floating point arithmetic inaccuracies blah blah blah better to use
// simplified fractions here
bool Fraction::operator<(const Fraction other)
{
if (other.denominator == denominator)
return numerator < other.numerator;
// TODO: Is it better to use the GCD?
return (numerator * other.denominator) < (other.numerator * denominator);
}
bool Fraction::operator==(const Fraction &other)
{
return numerator == other.numerator && denominator == other.denominator;
}
Node::Node(Fraction val, index_t left, index_t right)
: value{val}, left{left}, right{right}
{
}
NodeAllocator::NodeAllocator(word_t capacity) : vec{capacity}
{
}
word_t NodeAllocator::alloc(Node n)
{
word_t ind = vec.size();
vec.push_back(n);
return ind;
}
// WHY DO I NEED TO DO IT TWICE REEEEEEE
Node &NodeAllocator::getRef(word_t n)
{
if (n >= vec.size())
return vec[0];
return vec[n];
}
Node NodeAllocator::getVal(word_t n) const
{
if (n >= vec.size())
return vec[0];
return vec[n];
}
word_t gcd(word_t a, word_t b)
{
if (a == b)
return a;
else if (a <= 1 || b <= 1)
return 1;
for (word_t r = b % a; r != 0; b = a, a = r, r = b % a)
continue;
return a;
}
Fraction iterate(std::queue<word_t> &queue, NodeAllocator &allocator)
{
if (queue.empty())
return {};
word_t index = queue.front();
Node node = allocator.getVal(index);
if (!node.left.has_value())
{
allocator.getRef(index).left = allocator.alloc(Fraction{
node.value.numerator, node.value.numerator + node.value.denominator});
}
if (!node.right.has_value())
{
allocator.getRef(index).right = allocator.alloc(Fraction{
node.value.numerator + node.value.denominator, node.value.denominator});
}
queue.pop();
queue.push(allocator.getVal(index).left.value());
queue.push(allocator.getVal(index).right.value());
node = allocator.getVal(index);
Fraction best = MAX(node.value, allocator.getVal(node.left.value()).value);
best = MAX(best, allocator.getVal(node.right.value()).value);
return best;
}
std::string to_string(const Fraction &f)
{
std::stringstream ss;
ss << f.numerator << "/" << f.denominator;
return ss.str();
}
void indent_depth(int depth, std::stringstream &ss)
{
for (int i = 0; i < depth; ++i)
ss << " ";
}
std::string to_string(const NodeAllocator &allocator, const index_t n,
int depth)
{
if (!n.has_value())
return "NIL";
std::stringstream ss;
Node x = allocator.getVal(n.value());
ss << "(" << to_string(x.value) << "\n";
indent_depth(depth, ss);
if (x.left == -1)
ss << "NIL";
else
ss << to_string(allocator, x.left, depth + 1);
ss << "\n";
indent_depth(depth, ss);
if (x.right == -1)
ss << "NIL";
else
ss << to_string(allocator, x.right, depth + 1);
ss << ")";
return ss.str();
}