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/*
* 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.
*
* 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, write to the Free Software Foundation,
* Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
#ifndef __BLI_MPQ2_HH__
#define __BLI_MPQ2_HH__
#include "gmpxx.h"
#include "BLI_math_mpq.hh"
#include "BLI_mpq3.hh"
namespace BLI {
struct mpq2 {
mpq_class x, y;
mpq2() = default;
mpq2(const mpq_class *ptr) : x{ptr[0]}, y{ptr[1]}
{
}
mpq2(mpq_class x, mpq_class y) : x(x), y(y)
{
}
mpq2(const mpq3 &other) : x(other.x), y(other.y)
{
}
operator mpq_class *()
{
return &x;
}
operator const mpq_class *() const
{
return &x;
}
/* Cannot do this exactly in rational arithmetic!
* Approximate by going in and out of doubles.
*/
mpq_class length() const
{
mpq_class lsquared = dot(*this, *this);
return mpq_class(sqrt(lsquared.get_d()));
}
friend mpq2 operator+(const mpq2 &a, const mpq2 &b)
{
return {a.x + b.x, a.y + b.y};
}
friend mpq2 operator-(const mpq2 &a, const mpq2 &b)
{
return {a.x - b.x, a.y - b.y};
}
friend mpq2 operator*(const mpq2 &a, mpq_class b)
{
return {a.x * b, a.y * b};
}
friend mpq2 operator/(const mpq2 &a, mpq_class b)
{
BLI_assert(b != 0);
return {a.x / b, a.y / b};
}
friend mpq2 operator*(mpq_class a, const mpq2 &b)
{
return b * a;
}
friend bool operator==(const mpq2 &a, const mpq2 &b)
{
return a.x == b.x && a.y == b.y;
}
friend std::ostream &operator<<(std::ostream &stream, const mpq2 &v)
{
stream << "(" << v.x << ", " << v.y << ")";
return stream;
}
static mpq_class dot(const mpq2 &a, const mpq2 &b)
{
return a.x * b.x + a.y * b.y;
}
static mpq2 interpolate(const mpq2 &a, const mpq2 &b, mpq_class t)
{
return a * (1 - t) + b * t;
}
static mpq_class distance(const mpq2 &a, const mpq2 &b)
{
return (a - b).length();
}
static mpq_class distance_squared(const mpq2 &a, const mpq2 &b)
{
return dot(a, b);
}
struct isect_result {
enum {
LINE_LINE_COLINEAR = -1,
LINE_LINE_NONE = 0,
LINE_LINE_EXACT = 1,
LINE_LINE_CROSS = 2,
} kind;
mpq_class lambda;
mpq_class mu;
};
static isect_result isect_seg_seg(const mpq2 &v1,
const mpq2 &v2,
const mpq2 &v3,
const mpq2 &v4);
static int orient2d(const mpq2 &a, const mpq2 &b, const mpq2 &c);
static int incircle(const mpq2 &a, const mpq2 &b, const mpq2 &c, const mpq2 &d);
};
} // namespace BLI
#endif /* __BLI_MPQ_HH__ */
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