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/*
* Copyright (c), Zeriph Enterprises
* All rights reserved.
*
* Contributor(s):
* Zechariah Perez, omni (at) zeriph (dot) com
*
* THIS SOFTWARE IS PROVIDED BY ZERIPH AND CONTRIBUTORS "AS IS" AND ANY
* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL ZERIPH AND CONTRIBUTORS BE LIABLE FOR ANY
* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#if !defined(OMNI_TRIANGLE_HPP)
#define OMNI_TRIANGLE_HPP 1
#include <omni/defs/global.hpp>
#include <omni/defs/class_macros.hpp>
#include <omni/geometry/point2d.hpp>
#include <omni/geometry/circle.hpp>
#if defined(OMNI_SAFE_TRIANGLE)
#include <omni/sync/basic_lock.hpp>
#define OMNI_SAFE_TRIMTX_FW ,m_mtx()
#define OMNI_SAFE_TRILOCK_FW this->m_mtx.lock();
#define OMNI_SAFE_TRIUNLOCK_FW this->m_mtx.unlock();
#define OMNI_SAFE_TRIALOCK_FW omni::sync::scoped_basic_lock uuid12345(&this->m_mtx);
#define OMNI_SAFE_TRIOALOCK_FW(o) omni::sync::scoped_basic_lock uuid54321(&o.m_mtx);
#else
#define OMNI_SAFE_TRIMTX_FW
#define OMNI_SAFE_TRILOCK_FW
#define OMNI_SAFE_TRIUNLOCK_FW
#define OMNI_SAFE_TRIALOCK_FW
#define OMNI_SAFE_TRIOALOCK_FW(o)
#endif
#if defined(OMNI_TRIANGLE_USE_SA)
#define OMNI_TRI_SA_FW ,m_sides(), m_angle()
#define OMNI_TRI_SACP_FW(cp) ,m_sides(cp.m_sides), m_angle(cp.m_angle)
#define OMNI_TRI_SA_CALC_FW this->_recalc_sas()
#else
#define OMNI_TRI_SA_FW
#define OMNI_TRI_SACP_FW(cp)
#define OMNI_TRI_SA_CALC_FW
#endif
// DEV_NOTE: overflows are not checked in theses class due to double's and raw_point2d's being used, no need to check for overflow
namespace omni {
namespace geometry {
class triangle_side
{
public:
typedef enum enum_t {
// Side A
A = 0,
// Side B
B = 1,
// Side C
C = 2
} enum_t;
static inline unsigned short COUNT()
{
return 3;
}
static inline enum_t DEFAULT_VALUE()
{
return A;
}
static std::string to_string(enum_t v)
{
return _to_val<std::stringstream>(v);
}
static std::wstring to_wstring(enum_t v)
{
return _to_val<std::wstringstream>(v);
}
static enum_t parse(const std::string& val)
{
return _parse(val);
}
static enum_t parse(const std::wstring& val)
{
return _parse(val);
}
static bool try_parse(const std::string& val, enum_t& out)
{
return _try_parse(val, out);
}
static bool try_parse(const std::wstring& val, enum_t& out)
{
return _try_parse(val, out);
}
static bool try_parse(const std::string& val, triangle_side& out)
{
return _try_parse(val, out);
}
static bool try_parse(const std::wstring& val, triangle_side& out)
{
return _try_parse(val, out);
}
static bool is_valid(int32_t val)
{
return _valid(val);
}
triangle_side() :
OMNI_CTOR_FW(omni::geometry::triangle_side)
m_val(DEFAULT_VALUE())
{ }
triangle_side(const triangle_side& cp) :
OMNI_CPCTOR_FW(cp)
m_val(cp.m_val)
{ }
triangle_side(enum_t val) :
OMNI_CTOR_FW(omni::geometry::triangle_side)
m_val(val)
{ }
~triangle_side()
{
OMNI_TRY_FW
OMNI_DTOR_FW
OMNI_CATCH_FW
OMNI_D5_FW("destroyed");
}
unsigned short count() const
{
return COUNT();
}
enum_t value() const
{
return this->m_val;
}
std::string to_string() const
{
return to_string(this->m_val);
}
std::wstring to_wstring() const
{
return to_wstring(this->m_val);
}
bool operator!=(const triangle_side& val) const
{
return !(*this == val);
}
bool operator!=(enum_t val) const
{
return (this->m_val != val);
}
triangle_side& operator=(const triangle_side& val)
{
if (this != &val) {
OMNI_ASSIGN_FW(val)
this->m_val = val.m_val;
}
return *this;
}
triangle_side& operator=(enum_t val)
{
this->m_val = val;
return *this;
}
triangle_side& operator=(int32_t val)
{
if (!triangle_side::is_valid(val)) {
OMNI_ERR_RET_FW("Invalid enumeration value specified.", omni::exceptions::invalid_enum(val));
} else {
this->m_val = static_cast<enum_t>(val);
}
return *this;
}
bool operator<(const triangle_side& val) const
{
return this->m_val < val.m_val;
}
bool operator<(enum_t val) const
{
return this->m_val < val;
}
bool operator<(int32_t val) const
{
return this->m_val < static_cast<enum_t>(val);
}
bool operator>(const triangle_side& val) const
{
return this->m_val > val.m_val;
}
bool operator>(enum_t val) const
{
return this->m_val > val;
}
bool operator>(int32_t val) const
{
return this->m_val > val;
}
bool operator==(const triangle_side& val) const
{
if (this == &val) { return true; }
return this->m_val == val.m_val
OMNI_EQUAL_FW(val);
}
bool operator==(enum_t val) const
{
return this->m_val == val;
}
bool operator==(int32_t val) const
{
return this->m_val == val;
}
operator enum_t() const
{
return this->m_val;
}
operator std::string() const
{
return this->to_string();
}
operator std::wstring() const
{
return this->to_wstring();
}
OMNI_MEMBERS_FW(omni::geometry::triangle_side) // disposing,name,type(),hash()
OMNI_OSTREAM_FW(omni::geometry::triangle_side)
OMNI_OSTREAM_FN_FW(enum_t)
private:
enum_t m_val;
template < typename S >
static enum_t _parse(const S& val)
{
enum_t ret;
if (_try_parse(val, ret)) { return ret; }
OMNI_ERR_FW("invalid enum parse", omni::exceptions::invalid_enum())
return DEFAULT_VALUE();
}
template < typename S >
static bool _try_parse(const S& str, enum_t& out)
{
return _try_parse(omni::string::util::to_upper(str), out);
}
template < typename S >
static bool _try_parse(const S& val, triangle_side& out)
{
enum_t tmp;
if (_try_parse(val, tmp)) {
out.m_val = tmp;
return true;
}
return false;
}
static bool _try_parse(const std::wstring& val, enum_t& out)
{
return _try_parse(omni::string::util::to_string(val), out);
}
static bool _try_parse(const std::string& val, enum_t& out)
{
if (!val.empty()) {
OMNI_S2E_FW(A)
OMNI_S2E_FW(B)
OMNI_S2E_FW(C)
}
return false;
}
template < typename S >
static std::basic_string< typename S::char_type > _to_val(enum_t v)
{
S ss;
switch (v) {
OMNI_E2SS_FW(A);
OMNI_E2SS_FW(B);
OMNI_E2SS_FW(C);
default:
ss << "UNKNOWN (" << static_cast<int>(v) << ")";
break;
}
return ss.str();
}
static bool _valid(int32_t val)
{
return (
OMNI_I2EV_FW(A) ||
OMNI_I2EV_FW(B) ||
OMNI_I2EV_FW(C)
);
}
};
template < typename T >
class triangle
{
public:
typedef T coordinate_t;
typedef omni_sequence_t< omni::geometry::point2d< T > > path_t;
triangle() :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(), m_b(), m_c(), m_base()
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{ }
triangle(const omni::geometry::triangle<T>& cp) :
OMNI_CPCTOR_FW(cp)
m_a(cp.a()), m_b(cp.b()), m_c(cp.c()), m_base(cp.base_side())
OMNI_TRI_SACP_FW(cp)
OMNI_SAFE_TRIMTX_FW
{ }
OMNI_EXPLICIT triangle(const omni::math::dimensional<T, 6>& cp) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(cp[0], cp[1]), m_b(cp[2], cp[3]), m_c(cp[4], cp[5]), m_base()
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(const omni::math::dimensional<T, 6>& cp, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(cp[0], cp[1]), m_b(cp[2], cp[3]), m_c(cp[4], cp[5]), m_base(base)
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(const omni::math::dimensional<T, 2>& a, const omni::math::dimensional<T, 2>& b, const omni::math::dimensional<T, 2>& c) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(a[0], a[1]), m_b(b[0], b[1]), m_c(c[0], c[1]), m_base()
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(const omni::math::dimensional<T, 2>& a, const omni::math::dimensional<T, 2>& b, const omni::math::dimensional<T, 2>& c, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(a[0], a[1]), m_b(b[0], b[1]), m_c(c[0], c[1]), m_base(base)
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(const omni::geometry::point2d<T>& a, const omni::geometry::point2d<T>& b, const omni::geometry::point2d<T>& c) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(a.x(), a.y()), m_b(b.x(), b.y()), m_c(c.x(), c.y()), m_base()
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(const omni::geometry::point2d<T>& a, const omni::geometry::point2d<T>& b, const omni::geometry::point2d<T>& c, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(a.x(), a.y()), m_b(b.x(), b.y()), m_c(c.x(), c.y()), m_base(base)
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(const omni::geometry::raw_point2d<T>& a, const omni::geometry::raw_point2d<T>& b, const omni::geometry::raw_point2d<T>& c) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(a.x, a.y), m_b(b.x, b.y), m_c(c.x, c.y), m_base()
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(const omni::geometry::raw_point2d<T>& a, const omni::geometry::raw_point2d<T>& b, const omni::geometry::raw_point2d<T>& c, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(a.x, a.y), m_b(b.x, b.y), m_c(c.x, c.y), m_base(base)
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(T x1, T y1, T x2, T y2, T x3, T y3) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(x1, y1), m_b(x2, y2), m_c(x3, y3), m_base()
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
triangle(T x1, T y1, T x2, T y2, T x3, T y3, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(x1, y1), m_b(x2, y2), m_c(x3, y3), m_base(base)
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
OMNI_TRI_SA_CALC_FW
}
~triangle()
{
OMNI_TRY_FW
OMNI_DTOR_FW
OMNI_CATCH_FW
OMNI_D5_FW("destroyed");
}
omni::geometry::raw_point2d<T> a() const
{
OMNI_SAFE_TRIALOCK_FW
return this->m_a;
}
double angle_a() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_angle_a();
}
double angle_b() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_angle_b();
}
double angle_c() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_angle_c();
}
double area() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_area();
}
omni::geometry::raw_point2d<T> b() const
{
OMNI_SAFE_TRIALOCK_FW
return this->m_b;
}
double base() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_base();
}
omni::geometry::triangle_side base_side() const
{
OMNI_SAFE_TRIALOCK_FW
return this->m_base;
}
omni::geometry::raw_point2d<T> c() const
{
OMNI_SAFE_TRIALOCK_FW
return this->m_c;
}
omni::geometry::point2d<double> centroid() const
{
double x, y;
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_get_centroid<double>(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y,
x, y);
return omni::geometry::point2d<double>(x, y);
}
omni::geometry::point2d<double> circumcenter() const
{
double x, y;
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_get_circumcenter<double>(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y,
x, y);
return omni::geometry::point2d<double>(x, y);
}
omni::geometry::circle<double> circle_from_circumcenter() const
{
double x, y;
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_get_circumcenter<double>(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y,
x, y);
double a = this->_side_a();
double b = this->_side_b();
double c = this->_side_c();
return omni::geometry::circle<double>(x, y,
((a * b * c) / std::sqrt((a + b + c) * (b + c - a) * (c + a - b) * (a + b - c)))
);
}
omni::geometry::circle<double> circle_from_incenter() const
{
double x, y;
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_get_incenter<double>(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y,
x, y);
return omni::geometry::circle<double>(x, y,
((this->_area() * 2.0) / (this->_side_a() + this->_side_b() + this->_side_c()))
);
}
omni::math::shape_comparator compare(const omni::geometry::triangle<T>& tri) const
{
if (this == &tri) { return omni::math::shape_comparator::SIMILAR_CONGRUENT; }
omni::math::shape_comparator ret = omni::math::shape_comparator::NOT_EQUAL;
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(tri)
double ta = this->_angle_a(); double oa = tri._angle_a();
double tb = this->_angle_b(); double ob = tri._angle_b();
double tc = this->_angle_c(); double oc = tri._angle_c();
if (
// a
(omni::math::are_equal(ta, oa) || omni::math::are_equal(ta, ob) || omni::math::are_equal(ta, oc)) &&
// b
(omni::math::are_equal(tb, oa) || omni::math::are_equal(tb, ob) || omni::math::are_equal(tb, oc)) &&
// c
(omni::math::are_equal(tc, oa) || omni::math::are_equal(tc, ob) || omni::math::are_equal(tc, oc))
)
{
ret = omni::math::shape_comparator::SIMILAR;
}
ta = this->_side_a(); oa = tri._side_a();
tb = this->_side_b(); ob = tri._side_b();
tc = this->_side_c(); oc = tri._side_c();
if (
// a
(omni::math::are_equal(ta, oa) || omni::math::are_equal(ta, ob) || omni::math::are_equal(ta, oc)) &&
// b
(omni::math::are_equal(tb, oa) || omni::math::are_equal(tb, ob) || omni::math::are_equal(tb, oc)) &&
// c
(omni::math::are_equal(tc, oa) || omni::math::are_equal(tc, ob) || omni::math::are_equal(tc, oc))
)
{
ret |= omni::math::shape_comparator::CONGRUENT;
}
return ret;
}
bool contains(T x, T y) const
{
OMNI_SAFE_TRIALOCK_FW
return omni::math::triangle_contains_point(
x, y,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
}
bool contains(const omni::math::dimensional<T, 2>& point) const
{
return this->contains(point[0], point[1]);
}
bool contains(const omni::geometry::point2d<T>& point) const
{
return this->contains(point.x(), point.y());
}
bool contains(const omni::geometry::raw_point2d<T>& point) const
{
return this->contains(point.x, point.y);
}
bool contains(const omni::geometry::triangle<T>& tri) const
{
if (&tri == this) { return true; }
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(tri)
return
omni::math::triangle_contains_point(
tri.m_a.x, tri.m_a.y,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
) &&
omni::math::triangle_contains_point(
tri.m_b.x, tri.m_b.y,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
) &&
omni::math::triangle_contains_point(
tri.m_c.x, tri.m_c.y,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
}
omni::geometry::triangle<T>& deflate(double percent)
{
if (percent < 0) {
OMNI_ERR_RETV_FW("value must be greater than 0", omni::exceptions::overflow_error("value must be greater than 0"), *this)
}
OMNI_SAFE_TRIALOCK_FW
double factor = (1.0 - (percent / 100.0));
double x, y;
omni::math::triangle_get_incenter<double>(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y,
x, y);
omni::math::extend_line<double>(x, y, this->m_a.x, this->m_a.y, (omni::math::distance_between_2_points(x, y, this->m_a.x, this->m_a.y) * factor), this->m_a.x, this->m_a.y);
omni::math::extend_line<double>(x, y, this->m_b.x, this->m_b.y, (omni::math::distance_between_2_points(x, y, this->m_b.x, this->m_b.y) * factor), this->m_b.x, this->m_b.y);
omni::math::extend_line<double>(x, y, this->m_c.x, this->m_c.y, (omni::math::distance_between_2_points(x, y, this->m_c.x, this->m_c.y) * factor), this->m_c.x, this->m_c.y);
OMNI_TRI_SA_CALC_FW
return *this;
}
bool empty() const
{
OMNI_SAFE_TRIALOCK_FW
return this->m_a.empty() &&
this->m_b.empty() &&
this->m_c.empty()
#if defined(OMNI_TRIANGLE_USE_SA)
&&
omni::math::are_equal(m_sides[0], 0) &&
omni::math::are_equal(m_sides[1], 0) &&
omni::math::are_equal(m_sides[2], 0) &&
omni::math::are_equal(m_angle[0], 0) &&
omni::math::are_equal(m_angle[1], 0) &&
omni::math::are_equal(m_angle[2], 0)
#endif
;
}
bool empty_size() const
{
OMNI_SAFE_TRIALOCK_FW
return (
(this->m_a == this->m_b) ||
(this->m_a == this->m_c) ||
(this->m_b == this->m_c)
);
}
bool equals(T ax, T ay, T bx, T by, T cx, T cy) const
{
OMNI_SAFE_TRIALOCK_FW
return
omni::math::are_equal(this->m_a.x, ax) &&
omni::math::are_equal(this->m_a.y, ay) &&
omni::math::are_equal(this->m_b.x, bx) &&
omni::math::are_equal(this->m_b.y, by) &&
omni::math::are_equal(this->m_c.x, cx) &&
omni::math::are_equal(this->m_c.y, cy);
}
bool equals(const omni::math::dimensional<T, 2>& a, const omni::math::dimensional<T, 2>& b, const omni::math::dimensional<T, 2>& c) const
{
return this->equals(a[0], a[1], b[0], b[1], c[0], c[1]);
}
bool equals(const omni::geometry::point2d<T>& a, const omni::geometry::point2d<T>& b, const omni::geometry::point2d<T>& c) const
{
return this->equals(a.x(), a.y(), b.x(), b.y(), c.x(), c.y());
}
bool equals(const omni::geometry::raw_point2d<T>& a, const omni::geometry::raw_point2d<T>& b, const omni::geometry::raw_point2d<T>& c) const
{
return this->equals(a.x, a.y, b.x, b.y, c.x, c.y);
}
int32_t hash_code() const
{
OMNI_SAFE_TRIALOCK_FW
return (
static_cast<int32_t>(this->m_base.value()) ^
m_a.hash_code() ^ m_b.hash_code() ^ m_c.hash_code()
);
}
double height() const
{
OMNI_SAFE_TRIALOCK_FW
return (this->_area() * 2.0) / this->_base();
}
omni::geometry::point2d<double> incenter() const
{
double x, y;
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_get_incenter<double>(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y,
x, y);
return omni::geometry::point2d<double>(x, y);
}
omni::geometry::triangle<T>& inflate(double percent)
{
if (percent < 0) {
OMNI_ERR_RETV_FW("value must be greater than 0", omni::exceptions::overflow_error("value must be greater than 0"), *this)
}
OMNI_SAFE_TRIALOCK_FW
double factor = percent / 100.0;
double x, y;
omni::math::triangle_get_incenter<double>(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y,
x, y);
omni::math::extend_line<double>(x, y, this->m_a.x, this->m_a.y, (omni::math::distance_between_2_points(x, y, this->m_a.x, this->m_a.y) * factor), this->m_a.x, this->m_a.y);
omni::math::extend_line<double>(x, y, this->m_b.x, this->m_b.y, (omni::math::distance_between_2_points(x, y, this->m_b.x, this->m_b.y) * factor), this->m_b.x, this->m_b.y);
omni::math::extend_line<double>(x, y, this->m_c.x, this->m_c.y, (omni::math::distance_between_2_points(x, y, this->m_c.x, this->m_c.y) * factor), this->m_c.x, this->m_c.y);
OMNI_TRI_SA_CALC_FW
return *this;
}
omni::geometry::triangle<T>& intersect(const omni::geometry::triangle<T>& r2)
{
if (this == &r2) { return *this; }
omni::geometry::raw_point2d<T> a = r2.a();
omni::geometry::raw_point2d<T> b = r2.b();
omni::geometry::raw_point2d<T> c = r2.c();
if (this->intersects_with(r2)) {
OMNI_SAFE_TRIALOCK_FW
if (this->m_a.x < a.x) { this->m_a.x = a.x; }
if (this->m_a.y < a.y) { this->m_a.y = a.y; }
if (this->m_b.x < b.x) { this->m_b.x = b.x; }
if (this->m_b.y < b.y) { this->m_b.y = b.y; }
if (this->m_c.x < c.x) { this->m_c.x = c.x; }
if (this->m_c.y < c.y) { this->m_c.y = c.y; }
OMNI_TRI_SA_CALC_FW
} else {
OMNI_SAFE_TRIALOCK_FW
this->m_a.x = 0; this->m_a.y = 0;
this->m_b.x = 0; this->m_b.y = 0;
this->m_c.x = 0; this->m_c.y = 0;
#if defined(OMNI_TRIANGLE_USE_SA)
std::memset(this->m_sides, 0, sizeof(this->m_sides));
std::memset(this->m_angle, 0, sizeof(this->m_angle));
#endif
}
return *this;
}
bool intersects_with(const omni::geometry::triangle<T>& tri) const
{
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(tri)
return omni::math::triangle_intersects(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y,
tri.m_a.x, tri.m_a.y,
tri.m_b.x, tri.m_b.y,
tri.m_c.x, tri.m_c.y
);
}
omni::math::triangle_measure measure() const
{
OMNI_SAFE_TRIALOCK_FW
bool ab = omni::math::are_equal(this->_side_a(), this->_side_b());
bool bc = omni::math::are_equal(this->_side_b(), this->_side_c());
bool ac = omni::math::are_equal(this->_side_a(), this->_side_c());
if (ab && bc) {
return omni::math::triangle_measure::EQUILATERAL;
}
if (ab || bc || ac) {
return omni::math::triangle_measure::ISOSCELES;
}
return omni::math::triangle_measure::SCALENE;
}
path_t path() const
{
OMNI_SAFE_TRIALOCK_FW
return omni::geometry::path::triangle(this->m_a.x, this->m_a.y, this->m_b.x, this->m_b.y, this->m_c.x, this->m_c.y);
}
double perimeter() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_side_a() + this->_side_b() + this->_side_c();
}
omni::geometry::triangle<T>& rotate_on_a(double degrees, const omni::math::rotation_direction& dir)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_rotate_abc(
degrees, this->m_a.x, this->m_a.y, dir,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::geometry::triangle<T>& rotate_on_b(double degrees, const omni::math::rotation_direction& dir)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_rotate_abc(
degrees, this->m_b.x, this->m_b.y, dir,
this->m_a.x, this->m_a.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::geometry::triangle<T>& rotate_on_c(double degrees, const omni::math::rotation_direction& dir)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_rotate_abc(
degrees, this->m_c.x, this->m_c.y, dir,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y
);
return *this;
}
omni::geometry::triangle<T>& rotate_centroid(double degrees, const omni::math::rotation_direction& dir)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_rotate_centroid(
degrees, dir,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::geometry::triangle<T>& rotate_circumcenter(double degrees, const omni::math::rotation_direction& dir)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_rotate_circumcenter(
degrees, dir,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::geometry::triangle<T>& rotate_incenter(double degrees, const omni::math::rotation_direction& dir)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_rotate_incenter(
degrees, dir,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::geometry::triangle<T>& rotate_origin(double degrees, const omni::math::rotation_direction& dir)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_rotate_origin(
degrees, dir,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::geometry::triangle<T>& rotate_point(double degrees, T x, T y, const omni::math::rotation_direction& dir)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_rotate_point(
degrees, x, y, dir,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::geometry::triangle<T>& reflect()
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_reflect(
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
double semiperimeter() const
{
OMNI_SAFE_TRIALOCK_FW
return (this->_side_a() + this->_side_b() + this->_side_c()) / 2.0;
}
omni::geometry::triangle<T>& set_base(const omni::geometry::triangle_side& base)
{
OMNI_SAFE_TRIALOCK_FW
this->m_base = base;
return *this;
}
double side_a() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_side_a();
}
double side_b() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_side_b();
}
double side_c() const
{
OMNI_SAFE_TRIALOCK_FW
return this->_side_c();
}
void swap(omni::geometry::triangle<T>& o)
{
if (this != &o) {
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(o)
std::swap(this->m_a, o.m_a);
std::swap(this->m_b, o.m_b);
std::swap(this->m_c, o.m_c);
#if defined(OMNI_TRIANGLE_USE_SA)
std::swap(this->m_sides, o.m_sides);
std::swap(this->m_angle, o.m_angle);
#endif
}
}
omni::geometry::triangle<T>& translate_xy(T x, T y)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_translate_xy(
x, y,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::geometry::triangle<T>& translate_angle(double degrees, T distance)
{
OMNI_SAFE_TRIALOCK_FW
omni::math::triangle_translate_angle(
degrees, distance,
this->m_a.x, this->m_a.y,
this->m_b.x, this->m_b.y,
this->m_c.x, this->m_c.y
);
return *this;
}
omni::string_t to_string_t() const
{
omni::sstream_t s;
OMNI_SAFE_TRIALOCK_FW
s << "{[A:" << this->m_a << "],[B:" << this->m_b << "],[C:" << this->m_c << "]}";
return s.str();
}
std::string to_string() const
{
std::stringstream s;
OMNI_SAFE_TRIALOCK_FW
s << "{[A:" << this->m_a << "],[B:" << this->m_b << "],[C:" << this->m_c << "]}";
return s.str();
}
std::wstring to_wstring() const
{
std::wstringstream s;
OMNI_SAFE_TRIALOCK_FW
s << "{[A:" << this->m_a << "],[B:" << this->m_b << "],[C:" << this->m_c << "]}";
return s.str();
}
operator std::string() const
{
return this->to_string();
}
operator std::wstring() const
{
return this->to_wstring();
}
bool operator!=(const omni::geometry::triangle<T>& val) const
{
return !(*this == val);
}
bool operator==(const omni::geometry::triangle<T>& val) const
{
if (this == &val) { return true; }
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(val)
return (
(this->m_a == val.m_a) &&
(this->m_b == val.m_b) &&
(this->m_c == val.m_c))
OMNI_EQUAL_FW(val);
}
omni::geometry::triangle<T>& operator=(const omni::geometry::triangle<T>& val)
{
if (this != &val) {
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(val)
OMNI_ASSIGN_FW(val)
this->m_a = val.m_a;
this->m_b = val.m_b;
this->m_c = val.m_c;
this->m_base = val.m_base;
OMNI_TRI_SA_CALC_FW
}
return *this;
}
bool operator<(const omni::geometry::triangle<T>& val) const
{
if (this == &val) { return false; }
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(val)
return (this->m_a < val.m_a) &&
(this->m_b < val.m_b) &&
(this->m_c < val.m_c);
}
bool operator<=(const omni::geometry::triangle<T>& val) const
{
if (this == &val) { return false; }
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(val)
return (this->m_a <= val.m_a) &&
(this->m_b <= val.m_b) &&
(this->m_c <= val.m_c);
}
bool operator>(const omni::geometry::triangle<T>& val) const
{
if (this == &val) { return false; }
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(val)
return (this->m_a > val.m_a) &&
(this->m_b > val.m_b) &&
(this->m_c > val.m_c);
}
bool operator>=(const omni::geometry::triangle<T>& val) const
{
if (this == &val) { return false; }
OMNI_SAFE_TRIALOCK_FW
OMNI_SAFE_TRIOALOCK_FW(val)
return (this->m_a >= val.m_a) &&
(this->m_b >= val.m_b) &&
(this->m_c >= val.m_c);
}
omni::geometry::triangle<T> operator+(const omni::geometry::point2d<T>& val) const
{
OMNI_SAFE_TRIALOCK_FW
omni::geometry::triangle<T> ret(*this);
ret.translate_xy(val.x(), val.y());
return ret;
}
omni::geometry::triangle<T> operator-(const omni::geometry::point2d<T>& val) const
{
OMNI_SAFE_TRIALOCK_FW
omni::geometry::triangle<T> ret(*this);
ret.translate_xy(-val.x(), -val.y());
return ret;
}
omni::geometry::triangle<T>& operator+=(const omni::geometry::point2d<T>& val)
{
this->translate_xy(val.x(), val.y());
return *this;
}
omni::geometry::triangle<T>& operator-=(const omni::geometry::point2d<T>& val)
{
this->translate_xy(val.x(), val.y());
return *this;
}
static omni::geometry::triangle<T> deflate(const omni::geometry::triangle<T>& tri, double percent)
{
return omni::geometry::triangle<T>(tri, percent, true);
}
static omni::geometry::triangle<T> inflate(const omni::geometry::triangle<T>& tri, double percent)
{
return omni::geometry::triangle<T>(tri, percent, false);
}
static omni::geometry::triangle<T> intersect(const omni::geometry::triangle<T>& a, const omni::geometry::triangle<T>& b)
{
return omni::geometry::triangle<T>(a, b);
}
OMNI_MEMBERS_FW(omni::geometry::triangle<T>) // disposing,name,type(),hash()
OMNI_OSTREAM_FW(omni::geometry::triangle<T>)
private:
omni::geometry::raw_point2d<T> m_a;
omni::geometry::raw_point2d<T> m_b;
omni::geometry::raw_point2d<T> m_c;
omni::geometry::triangle_side m_base;
#if defined(OMNI_TRIANGLE_USE_SA)
double m_sides[3];
double m_angle[3];
#endif
#if defined(OMNI_SAFE_TRIANGLE)
mutable omni::sync::basic_lock m_mtx;
#endif
triangle(const omni::geometry::triangle<T>& a, const omni::geometry::triangle<T>& b) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(a.a()), m_b(a.b()), m_c(a.c()), m_base(a.base_side())
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
this->intersect(b);
}
triangle(const omni::geometry::triangle<T>& a, double percent, bool deflate) :
OMNI_CTOR_FW(omni::geometry::triangle<T>)
m_a(a.a()), m_b(a.b()), m_c(a.c()), m_base(a.base_side())
OMNI_TRI_SA_FW
OMNI_SAFE_TRIMTX_FW
{
if (deflate) {
this->deflate(percent);
} else {
this->inflate(percent);
}
}
#if defined(OMNI_TRIANGLE_USE_SA)
void _recalc_sas()
{
this->m_sides[0] = this->_calc_side_a();
this->m_sides[1] = this->_calc_side_b();
this->m_sides[2] = this->_calc_side_c();
this->m_angle[0] = omni::math::calculate_angle(this->m_a.x, this->m_a.y, this->m_b.x, this->m_b.y, this->m_c.x, this->m_c.y);
this->m_angle[1] = omni::math::calculate_angle(this->m_b.x, this->m_b.y, this->m_a.x, this->m_a.y, this->m_c.x, this->m_c.y);
this->m_angle[2] = omni::math::calculate_angle(this->m_c.x, this->m_c.y, this->m_b.x, this->m_b.y, this->m_a.x, this->m_a.y);
}
#endif
double _area() const
{
#if defined(OMNI_TRIANGLE_USE_SA)
return omni::math::area_of_triangle(this->m_angle[0], this->m_sides[1], this->m_sides[2]);
#else
return omni::math::area_of_triangle(this->m_a.x, this->m_a.y, this->m_b.x, this->m_b.y, this->m_c.x, this->m_c.y);
#endif
}
double _angle_a() const
{
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_angle[0];
#else
return omni::math::calculate_angle(this->m_a.x, this->m_a.y, this->m_b.x, this->m_b.y, this->m_c.x, this->m_c.y);
#endif
}
double _angle_b() const
{
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_angle[1];
#else
return omni::math::calculate_angle(this->m_b.x, this->m_b.y, this->m_a.x, this->m_a.y, this->m_c.x, this->m_c.y);
#endif
}
double _angle_c() const
{
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_angle[2];
#else
return omni::math::calculate_angle(this->m_c.x, this->m_c.y, this->m_b.x, this->m_b.y, this->m_a.x, this->m_a.y);
#endif
}
double _base() const
{
switch (this->m_base) {
case omni::geometry::triangle_side::A:
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_sides[0];
#else
return this->_side_a();
#endif
case omni::geometry::triangle_side::B:
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_sides[1];
#else
return this->_side_b();
#endif
case omni::geometry::triangle_side::C:
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_sides[2];
#else
return this->_side_c();
#endif
default: break;
}
return -1.0; // invalid base
}
double _calc_side_a() const
{
if (this->m_b >= this->m_c) {
return omni::math::distance_between_2_points(this->m_b.x, this->m_b.y, this->m_c.x, this->m_c.y);
}
return omni::math::distance_between_2_points(this->m_c.x, this->m_c.y, this->m_b.x, this->m_b.y);
}
double _calc_side_b() const
{
if (this->m_a >= this->m_c) {
return omni::math::distance_between_2_points(this->m_a.x, this->m_a.y, this->m_c.x, this->m_c.y);
}
return omni::math::distance_between_2_points(this->m_c.x, this->m_c.y, this->m_a.x, this->m_a.y);
}
double _calc_side_c() const
{
if (this->m_a >= this->m_b) {
return omni::math::distance_between_2_points(this->m_a.x, this->m_a.y, this->m_b.x, this->m_b.y);
}
return omni::math::distance_between_2_points(this->m_b.x, this->m_b.y, this->m_a.x, this->m_a.y);
}
inline double _side_a() const
{
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_sides[0];
#else
return this->_calc_side_a();
#endif
}
inline double _side_b() const
{
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_sides[1];
#else
return this->_calc_side_b();
#endif
}
inline double _side_c() const
{
#if defined(OMNI_TRIANGLE_USE_SA)
return this->m_sides[2];
#else
return this->_calc_side_c();
#endif
}
};
typedef omni::geometry::triangle<double> triangle_t;
typedef omni::geometry::triangle<float> triangleF_t;
typedef omni::geometry::triangle<int32_t> triangle32_t;
typedef omni::geometry::triangle<int64_t> triangle64_t;
template < typename T >
class raw_triangle
{
public:
typedef T coordinate_t;
typedef omni_sequence_t< omni::geometry::point2d< T > > path_t;
raw_triangle() :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(), b(), c(), base_side()
{ }
raw_triangle(const omni::geometry::raw_triangle<T>& cp) :
OMNI_CPCTOR_FW(cp)
a(cp.a), b(cp.b), c(cp.c), base_side(cp.base_side)
{ }
raw_triangle(const omni::geometry::triangle<T>& cp) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(cp.a()), b(cp.b()), c(cp.c()), base_side(cp.base_side())
{ }
raw_triangle(const omni::math::dimensional<T, 6>& cp) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(cp[0], cp[1]), b(cp[2], cp[3]), c(cp[4], cp[5]), base_side()
{ }
raw_triangle(const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(), b(), c(), base_side(base)
{ }
raw_triangle(const omni::math::dimensional<T, 6>& cp, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(cp[0], cp[1]), b(cp[2], cp[3]), c(cp[4], cp[5]), base_side(base)
{ }
raw_triangle(const omni::math::dimensional<T, 2>& _a, const omni::math::dimensional<T, 2>& _b, const omni::math::dimensional<T, 2>& _c) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(_a[0], _a[1]), b(_b[0], _b[1]), c(_c[0], _c[1]), base_side()
{ }
raw_triangle(const omni::math::dimensional<T, 2>& _a, const omni::math::dimensional<T, 2>& _b, const omni::math::dimensional<T, 2>& _c, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(_a[0], _a[1]), b(_b[0], _b[1]), c(_c[0], _c[1]), base_side(base)
{ }
raw_triangle(const omni::geometry::point2d<T>& _a, const omni::geometry::point2d<T>& _b, const omni::geometry::point2d<T>& _c) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(_a.x(), _a.y()), b(_b.x(), _b.y()), c(_c.x(), _c.y()), base_side()
{ }
raw_triangle(const omni::geometry::point2d<T>& _a, const omni::geometry::point2d<T>& _b, const omni::geometry::point2d<T>& _c, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(_a.x(), _a.y()), b(_b.x(), _b.y()), c(_c.x(), _c.y()), base_side(base)
{ }
raw_triangle(const omni::geometry::raw_point2d<T>& _a, const omni::geometry::raw_point2d<T>& _b, const omni::geometry::raw_point2d<T>& _c) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(_a.x, _a.y), b(_b.x, _b.y), c(_c.x, _c.y), base_side()
{ }
raw_triangle(const omni::geometry::raw_point2d<T>& _a, const omni::geometry::raw_point2d<T>& _b, const omni::geometry::raw_point2d<T>& _c, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(_a.x, _a.y), b(_b.x, _b.y), c(_c.x, _c.y), base_side(base)
{ }
raw_triangle(T x1, T y1, T x2, T y2, T x3, T y3) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(x1, y1), b(x2, y2), c(x3, y3), base_side()
{ }
raw_triangle(T x1, T y1, T x2, T y2, T x3, T y3, const omni::geometry::triangle_side& base) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(x1, y1), b(x2, y2), c(x3, y3), base_side(base)
{ }
~raw_triangle()
{
OMNI_TRY_FW
OMNI_DTOR_FW
OMNI_CATCH_FW
OMNI_D5_FW("destroyed");
}
double angle_a() const
{
return this->_angle_a();
}
double angle_b() const
{
return this->_angle_b();
}
double angle_c() const
{
return this->_angle_c();
}
double area() const
{
return this->_area();
}
double base() const
{
return this->_base();
}
omni::geometry::point2d<double> centroid() const
{
double x, y;
omni::math::triangle_get_centroid<double>(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y,
x, y);
return omni::geometry::point2d<double>(x, y);
}
omni::geometry::point2d<double> circumcenter() const
{
double x, y;
omni::math::triangle_get_circumcenter<double>(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y,
x, y);
return omni::geometry::point2d<double>(x, y);
}
omni::geometry::circle<double> circle_frocircumcenter() const
{
double x, y;
omni::math::triangle_get_circumcenter<double>(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y,
x, y);
double _a = this->_side_a();
double _b = this->_side_b();
double _c = this->_side_c();
return omni::geometry::circle<double>(x, y,
((_a * _b * _c) / std::sqrt((_a + _b + _c) * (_b + _c - _a) * (_c + _a - _b) * (_a + _b - _c)))
);
}
omni::geometry::circle<double> circle_from_incenter() const
{
double x, y;
omni::math::triangle_get_incenter<double>(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y,
x, y);
return omni::geometry::circle<double>(x, y,
((this->_area() * 2.0) / (this->_side_a() + this->_side_b() + this->_side_c()))
);
}
omni::math::shape_comparator compare(const omni::geometry::raw_triangle<T>& tri) const
{
if (this == &tri) { return omni::math::shape_comparator::SIMILAR_CONGRUENT; }
omni::math::shape_comparator ret = omni::math::shape_comparator::NOT_EQUAL;
double ta = this->_angle_a(); double oa = tri._angle_a();
double tb = this->_angle_b(); double ob = tri._angle_b();
double tc = this->_angle_c(); double oc = tri._angle_c();
if (
// a
(omni::math::are_equal(ta, oa) || omni::math::are_equal(ta, ob) || omni::math::are_equal(ta, oc)) &&
// b
(omni::math::are_equal(tb, oa) || omni::math::are_equal(tb, ob) || omni::math::are_equal(tb, oc)) &&
// c
(omni::math::are_equal(tc, oa) || omni::math::are_equal(tc, ob) || omni::math::are_equal(tc, oc))
)
{
ret = omni::math::shape_comparator::SIMILAR;
}
ta = this->_side_a(); oa = tri._side_a();
tb = this->_side_b(); ob = tri._side_b();
tc = this->_side_c(); oc = tri._side_c();
if (
// a
(omni::math::are_equal(ta, oa) || omni::math::are_equal(ta, ob) || omni::math::are_equal(ta, oc)) &&
// b
(omni::math::are_equal(tb, oa) || omni::math::are_equal(tb, ob) || omni::math::are_equal(tb, oc)) &&
// c
(omni::math::are_equal(tc, oa) || omni::math::are_equal(tc, ob) || omni::math::are_equal(tc, oc))
)
{
ret |= omni::math::shape_comparator::CONGRUENT;
}
return ret;
}
bool contains(T x, T y) const
{
return omni::math::triangle_contains_point(
x, y,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
}
bool contains(const omni::math::dimensional<T, 2>& point) const
{
return this->contains(point[0], point[1]);
}
bool contains(const omni::geometry::point2d<T>& point) const
{
return this->contains(point.x(), point.y());
}
bool contains(const omni::geometry::raw_point2d<T>& point) const
{
return this->contains(point.x, point.y);
}
bool contains(const omni::geometry::raw_triangle<T>& tri) const
{
if (&tri == this) { return true; }
return
omni::math::triangle_contains_point(
tri.a.x, tri.a.y,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
) &&
omni::math::triangle_contains_point(
tri.b.x, tri.b.y,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
) &&
omni::math::triangle_contains_point(
tri.c.x, tri.c.y,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
}
omni::geometry::raw_triangle<T>& deflate(double percent)
{
if (percent < 0) {
OMNI_ERR_RETV_FW("value must be greater than 0", omni::exceptions::overflow_error("value must be greater than 0"), *this)
}
double factor = (1.0 - (percent / 100.0));
double x, y;
omni::math::triangle_get_incenter<double>(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y,
x, y);
omni::math::extend_line<double>(x, y, this->a.x, this->a.y, (omni::math::distance_between_2_points(x, y, this->a.x, this->a.y) * factor), this->a.x, this->a.y);
omni::math::extend_line<double>(x, y, this->b.x, this->b.y, (omni::math::distance_between_2_points(x, y, this->b.x, this->b.y) * factor), this->b.x, this->b.y);
omni::math::extend_line<double>(x, y, this->c.x, this->c.y, (omni::math::distance_between_2_points(x, y, this->c.x, this->c.y) * factor), this->c.x, this->c.y);
return *this;
}
bool empty() const
{
return this->a.empty() &&
this->b.empty() &&
this->c.empty();
}
bool empty_size() const
{
OMNI_SAFE_TRIALOCK_FW
return (
(this->a == this->b) ||
(this->a == this->c) ||
(this->b == this->c)
);
}
bool equals(T ax, T ay, T bx, T by, T cx, T cy) const
{
return
omni::math::are_equal(this->a.x, ax) &&
omni::math::are_equal(this->a.y, ay) &&
omni::math::are_equal(this->b.x, bx) &&
omni::math::are_equal(this->b.y, by) &&
omni::math::are_equal(this->c.x, cx) &&
omni::math::are_equal(this->c.y, cy);
}
bool equals(const omni::math::dimensional<T, 2>& _a, const omni::math::dimensional<T, 2>& _b, const omni::math::dimensional<T, 2>& _c) const
{
return this->equals(_a[0], _a[1], _b[0], _b[1], _c[0], _c[1]);
}
bool equals(const omni::geometry::point2d<T>& _a, const omni::geometry::point2d<T>& _b, const omni::geometry::point2d<T>& _c) const
{
return this->equals(_a.x(), _a.y(), _b.x(), _b.y(), _c.x(), _c.y());
}
bool equals(const omni::geometry::raw_point2d<T>& _a, const omni::geometry::raw_point2d<T>& _b, const omni::geometry::raw_point2d<T>& _c) const
{
return this->equals(_a.x, _a.y, _b.x, _b.y, _c.x, _c.y);
}
int32_t hash_code() const
{
return (
static_cast<int32_t>(this->base_side.value()) ^
a.hash_code() ^ b.hash_code() ^ c.hash_code()
);
}
double height() const
{
return (this->_area() * 2.0) / this->_base();
}
omni::geometry::point2d<double> incenter() const
{
double x, y;
omni::math::triangle_get_incenter<double>(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y,
x, y);
return omni::geometry::point2d<double>(x, y);
}
omni::geometry::raw_triangle<T>& inflate(double percent)
{
if (percent < 0) {
OMNI_ERR_RETV_FW("value must be greater than 0", omni::exceptions::overflow_error("value must be greater than 0"), *this)
}
double factor = percent / 100.0;
double x, y;
omni::math::triangle_get_incenter<double>(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y,
x, y);
omni::math::extend_line<double>(x, y, this->a.x, this->a.y, (omni::math::distance_between_2_points(x, y, this->a.x, this->a.y) * factor), this->a.x, this->a.y);
omni::math::extend_line<double>(x, y, this->b.x, this->b.y, (omni::math::distance_between_2_points(x, y, this->b.x, this->b.y) * factor), this->b.x, this->b.y);
omni::math::extend_line<double>(x, y, this->c.x, this->c.y, (omni::math::distance_between_2_points(x, y, this->c.x, this->c.y) * factor), this->c.x, this->c.y);
return *this;
}
omni::geometry::raw_triangle<T>& intersect(const omni::geometry::raw_triangle<T>& r2)
{
if (this == &r2) { return *this; }
omni::geometry::raw_point2d<T> _a = r2.a;
omni::geometry::raw_point2d<T> _b = r2.b;
omni::geometry::raw_point2d<T> _c = r2.c;
if (this->intersects_with(r2)) {
if (this->a.x < _a.x) { this->a.x = _a.x; }
if (this->a.y < _a.y) { this->a.y = _a.y; }
if (this->b.x < _b.x) { this->b.x = _b.x; }
if (this->b.y < _b.y) { this->b.y = _b.y; }
if (this->c.x < _c.x) { this->c.x = _c.x; }
if (this->c.y < _c.y) { this->c.y = _c.y; }
} else {
this->a.x = 0; this->a.y = 0;
this->b.x = 0; this->b.y = 0;
this->c.x = 0; this->c.y = 0;
}
return *this;
}
bool intersects_with(const omni::geometry::raw_triangle<T>& tri) const
{
return omni::math::triangle_intersects(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y,
tri.a.x, tri.a.y,
tri.b.x, tri.b.y,
tri.c.x, tri.c.y
);
}
omni::math::triangle_measure measure() const
{
bool ab = omni::math::are_equal(this->_side_a(), this->_side_b());
bool bc = omni::math::are_equal(this->_side_b(), this->_side_c());
bool ac = omni::math::are_equal(this->_side_a(), this->_side_c());
if (ab && bc) {
return omni::math::triangle_measure::EQUILATERAL;
}
if ((ab && ac) || (bc && ac)) {
return omni::math::triangle_measure::ISOSCELES;
}
return omni::math::triangle_measure::SCALENE;
}
path_t path() const
{
return omni::geometry::path::triangle(this->a.x, this->a.y, this->b.x, this->b.y, this->c.x, this->c.y);
}
double perimeter() const
{
return this->_side_a() + this->_side_b() + this->_side_c();
}
omni::geometry::raw_triangle<T>& rotate_on_a(double degrees, const omni::math::rotation_direction& dir)
{
omni::math::triangle_rotate_abc(
degrees, this->a.x, this->a.y, dir,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
omni::geometry::raw_triangle<T>& rotate_on_b(double degrees, const omni::math::rotation_direction& dir)
{
omni::math::triangle_rotate_abc(
degrees, this->b.x, this->b.y, dir,
this->a.x, this->a.y,
this->c.x, this->c.y
);
return *this;
}
omni::geometry::raw_triangle<T>& rotate_on_c(double degrees, const omni::math::rotation_direction& dir)
{
omni::math::triangle_rotate_abc(
degrees, this->c.x, this->c.y, dir,
this->a.x, this->a.y,
this->b.x, this->b.y
);
return *this;
}
omni::geometry::raw_triangle<T>& rotate_centroid(double degrees, const omni::math::rotation_direction& dir)
{
omni::math::triangle_rotate_centroid(
degrees, dir,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
omni::geometry::raw_triangle<T>& rotate_circumcenter(double degrees, const omni::math::rotation_direction& dir)
{
omni::math::triangle_rotate_circumcenter(
degrees, dir,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
omni::geometry::raw_triangle<T>& rotate_incenter(double degrees, const omni::math::rotation_direction& dir)
{
omni::math::triangle_rotate_incenter(
degrees, dir,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
omni::geometry::raw_triangle<T>& rotate_origin(double degrees, const omni::math::rotation_direction& dir)
{
omni::math::triangle_rotate_origin(
degrees, dir,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
omni::geometry::raw_triangle<T>& rotate_point(double degrees, T x, T y, const omni::math::rotation_direction& dir)
{
omni::math::triangle_rotate_point(
degrees, x, y, dir,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
omni::geometry::raw_triangle<T>& reflect()
{
omni::math::triangle_reflect(
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
double semiperimeter() const
{
return (this->_side_a() + this->_side_b() + this->_side_c()) / 2.0;
}
double side_a() const
{
return this->_side_a();
}
double side_b() const
{
return this->_side_b();
}
double side_c() const
{
return this->_side_c();
}
void swap(omni::geometry::raw_triangle<T>& o)
{
if (this != &o) {
std::swap(this->a, o.a);
std::swap(this->b, o.b);
std::swap(this->c, o.c);
}
}
omni::geometry::raw_triangle<T>& translate_xy(T x, T y)
{
omni::math::triangle_translate_xy(
x, y,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
omni::geometry::raw_triangle<T>& translate_angle(double degrees, T distance)
{
omni::math::triangle_translate_angle(
degrees, distance,
this->a.x, this->a.y,
this->b.x, this->b.y,
this->c.x, this->c.y
);
return *this;
}
omni::string_t to_string_t() const
{
omni::sstream_t s;
s << "{[A:" << this->a << "],[B:" << this->b << "],[C:" << this->c << "]}";
return s.str();
}
std::string to_string() const
{
std::stringstream s;
s << "{[A:" << this->a << "],[B:" << this->b << "],[C:" << this->c << "]}";
return s.str();
}
std::wstring to_wstring() const
{
std::wstringstream s;
s << "{[A:" << this->a << "],[B:" << this->b << "],[C:" << this->c << "]}";
return s.str();
}
operator std::string() const
{
return this->to_string();
}
operator std::wstring() const
{
return this->to_wstring();
}
bool operator!=(const omni::geometry::raw_triangle<T>& val) const
{
return !(*this == val);
}
bool operator==(const omni::geometry::raw_triangle<T>& val) const
{
if (this == &val) { return true; }
return (
(this->a == val.a) &&
(this->b == val.b) &&
(this->c == val.c))
OMNI_EQUAL_FW(val);
}
omni::geometry::raw_triangle<T>& operator=(const omni::geometry::raw_triangle<T>& val)
{
if (this != &val) {
OMNI_ASSIGN_FW(val)
this->a = val.a;
this->b = val.b;
this->c = val.c;
this->base_side = val.base_side;
}
return *this;
}
bool operator<(const omni::geometry::raw_triangle<T>& val) const
{
if (this == &val) { return false; }
return (this->a < val.a) &&
(this->b < val.b) &&
(this->c < val.c);
}
bool operator<=(const omni::geometry::raw_triangle<T>& val) const
{
if (this == &val) { return false; }
return (this->a <= val.a) &&
(this->b <= val.b) &&
(this->c <= val.c);
}
bool operator>(const omni::geometry::raw_triangle<T>& val) const
{
if (this == &val) { return false; }
return (this->a > val.a) &&
(this->b > val.b) &&
(this->c > val.c);
}
bool operator>=(const omni::geometry::raw_triangle<T>& val) const
{
if (this == &val) { return false; }
return (this->a >= val.a) &&
(this->b >= val.b) &&
(this->c >= val.c);
}
omni::geometry::raw_triangle<T> operator+(const omni::geometry::point2d<T>& val) const
{
omni::geometry::raw_triangle<T> ret(*this);
ret.translate_xy(val.x(), val.y());
return ret;
}
omni::geometry::raw_triangle<T> operator-(const omni::geometry::point2d<T>& val) const
{
omni::geometry::raw_triangle<T> ret(*this);
ret.translate_xy(-val.x(), -val.y());
return ret;
}
omni::geometry::raw_triangle<T>& operator+=(const omni::geometry::point2d<T>& val)
{
this->translate_xy(val.x(), val.y());
return *this;
}
omni::geometry::raw_triangle<T>& operator-=(const omni::geometry::point2d<T>& val)
{
this->translate_xy(val.x(), val.y());
return *this;
}
static omni::geometry::raw_triangle<T> deflate(const omni::geometry::raw_triangle<T>& tri, double percent)
{
return omni::geometry::raw_triangle<T>(tri, percent, true);
}
static omni::geometry::raw_triangle<T> inflate(const omni::geometry::raw_triangle<T>& tri, double percent)
{
return omni::geometry::raw_triangle<T>(tri, percent, false);
}
static omni::geometry::raw_triangle<T> intersect(const omni::geometry::raw_triangle<T>& a, const omni::geometry::raw_triangle<T>& b)
{
return omni::geometry::raw_triangle<T>(a, b);
}
OMNI_MEMBERS_FW(omni::geometry::raw_triangle<T>) // disposing,name,type(),hash()
OMNI_OSTREAM_FW(omni::geometry::raw_triangle<T>)
omni::geometry::raw_point2d<T> a;
omni::geometry::raw_point2d<T> b;
omni::geometry::raw_point2d<T> c;
omni::geometry::triangle_side base_side;
private:
raw_triangle(const omni::geometry::raw_triangle<T>& _a, const omni::geometry::raw_triangle<T>& _b) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(_a.a), b(_a.b), c(_a.c), base_side(_a.base_side)
{
this->intersect(_b);
}
raw_triangle(const omni::geometry::raw_triangle<T>& _a, double percent, bool deflate) :
OMNI_CTOR_FW(omni::geometry::raw_triangle<T>)
a(_a.a), b(_a.b), c(_a.c), base_side(_a.base_side)
{
if (deflate) {
this->deflate(percent);
} else {
this->inflate(percent);
}
}
double _area() const
{
return omni::math::area_of_triangle(this->a.x, this->a.y, this->b.x, this->b.y, this->c.x, this->c.y);
}
double _angle_a() const
{
return omni::math::calculate_angle(this->a.x, this->a.y, this->b.x, this->b.y, this->c.x, this->c.y);
}
double _angle_b() const
{
return omni::math::calculate_angle(this->b.x, this->b.y, this->a.x, this->a.y, this->c.x, this->c.y);
}
double _angle_c() const
{
return omni::math::calculate_angle(this->c.x, this->c.y, this->b.x, this->b.y, this->a.x, this->a.y);
}
double _base() const
{
switch (this->base_side) {
case omni::geometry::triangle_side::A:
return this->_side_a();
case omni::geometry::triangle_side::B:
return this->_side_b();
case omni::geometry::triangle_side::C:
return this->_side_c();
default: break;
}
return -1.0; // invalid base
}
double _side_a() const
{
if (this->b >= this->c) {
return omni::math::distance_between_2_points(this->b.x, this->b.y, this->c.x, this->c.y);
}
return omni::math::distance_between_2_points(this->c.x, this->c.y, this->b.x, this->b.y);
}
double _side_b() const
{
if (this->a >= this->c) {
return omni::math::distance_between_2_points(this->a.x, this->a.y, this->c.x, this->c.y);
}
return omni::math::distance_between_2_points(this->c.x, this->c.y, this->a.x, this->a.y);
}
double _side_c() const
{
if (this->a >= this->b) {
return omni::math::distance_between_2_points(this->a.x, this->a.y, this->b.x, this->b.y);
}
return omni::math::distance_between_2_points(this->b.x, this->b.y, this->a.x, this->a.y);
}
};
typedef omni::geometry::raw_triangle<double> raw_triangle_t;
typedef omni::geometry::raw_triangle<float> raw_triangleF_t;
typedef omni::geometry::raw_triangle<int32_t> raw_triangle32_t;
typedef omni::geometry::raw_triangle<int64_t> raw_triangle64_t;
}
}
namespace std {
template < typename T >
inline void swap(omni::geometry::triangle<T>& o1, omni::geometry::triangle<T>& o2)
{
o1.swap(o2);
}
template < typename T >
inline void swap(omni::geometry::raw_triangle<T>& o1, omni::geometry::raw_triangle<T>& o2)
{
o1.swap(o2);
}
}
#endif // OMNI_TRIANGLE_HPP