2017-03-06 07:49:24 +00:00
|
|
|
#include "Vector3.hpp"
|
2017-03-06 02:30:46 +00:00
|
|
|
|
2017-03-06 07:49:24 +00:00
|
|
|
#include "String.hpp"
|
2017-03-06 02:30:46 +00:00
|
|
|
|
|
|
|
#include <stdlib.h>
|
|
|
|
|
|
|
|
#include <cmath>
|
|
|
|
|
|
|
|
|
2017-03-06 07:49:24 +00:00
|
|
|
#include "Basis.hpp"
|
2017-03-06 02:30:46 +00:00
|
|
|
|
|
|
|
namespace godot {
|
|
|
|
|
|
|
|
|
|
|
|
Vector3::Vector3(real_t x, real_t y, real_t z)
|
|
|
|
{
|
|
|
|
this->x = x;
|
|
|
|
this->y = y;
|
|
|
|
this->z = z;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3::Vector3()
|
|
|
|
{
|
|
|
|
this->x = 0;
|
|
|
|
this->y = 0;
|
|
|
|
this->z = 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3::Vector3(const Vector3& b)
|
|
|
|
{
|
|
|
|
this->x = b.x;
|
|
|
|
this->y = b.y;
|
|
|
|
this->z = b.z;
|
|
|
|
}
|
|
|
|
|
|
|
|
const real_t& Vector3::operator[](int p_axis) const
|
|
|
|
{
|
|
|
|
return coord[p_axis];
|
|
|
|
}
|
|
|
|
|
|
|
|
real_t& Vector3::operator[](int p_axis)
|
|
|
|
{
|
|
|
|
return coord[p_axis];
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3& Vector3::operator+=(const Vector3& p_v)
|
|
|
|
{
|
|
|
|
x += p_v.x;
|
|
|
|
y += p_v.y;
|
|
|
|
z += p_v.z;
|
|
|
|
return *this;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::operator+(const Vector3& p_v) const
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v += p_v;
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3& Vector3::operator-=(const Vector3& p_v)
|
|
|
|
{
|
|
|
|
x -= p_v.x;
|
|
|
|
y -= p_v.y;
|
|
|
|
z -= p_v.z;
|
|
|
|
return *this;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::operator-(const Vector3& p_v) const
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v -= p_v;
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3& Vector3::operator*=(const Vector3& p_v)
|
|
|
|
{
|
|
|
|
x *= p_v.x;
|
|
|
|
y *= p_v.y;
|
|
|
|
z *= p_v.z;
|
|
|
|
return *this;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::operator*(const Vector3& p_v) const
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v *= p_v;
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3& Vector3::operator/=(const Vector3& p_v)
|
|
|
|
{
|
|
|
|
x /= p_v.x;
|
|
|
|
y /= p_v.y;
|
|
|
|
z /= p_v.z;
|
|
|
|
return *this;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::operator/(const Vector3& p_v) const
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v /= p_v;
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
Vector3& Vector3::operator*=(real_t p_scalar)
|
|
|
|
{
|
|
|
|
*this *= Vector3(p_scalar, p_scalar, p_scalar);
|
|
|
|
return *this;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::operator*(real_t p_scalar) const
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v *= p_scalar;
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3& Vector3::operator/=(real_t p_scalar)
|
|
|
|
{
|
|
|
|
*this /= Vector3(p_scalar, p_scalar, p_scalar);
|
|
|
|
return *this;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::operator/(real_t p_scalar) const
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v /= p_scalar;
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::operator-() const
|
|
|
|
{
|
|
|
|
return Vector3(-x, -y, -z);
|
|
|
|
}
|
|
|
|
|
|
|
|
bool Vector3::operator==(const Vector3& p_v) const
|
|
|
|
{
|
|
|
|
return (x==p_v.x && y==p_v.y && z==p_v.z);
|
|
|
|
}
|
|
|
|
|
|
|
|
bool Vector3::operator!=(const Vector3& p_v) const
|
|
|
|
{
|
|
|
|
return (x!=p_v.x || y!=p_v.y || z!=p_v.z);
|
|
|
|
}
|
|
|
|
|
|
|
|
bool Vector3::operator<(const Vector3& p_v) const
|
|
|
|
{
|
|
|
|
if (x==p_v.x) {
|
|
|
|
if (y==p_v.y)
|
|
|
|
return z<p_v.z;
|
|
|
|
else
|
|
|
|
return y<p_v.y;
|
|
|
|
} else {
|
|
|
|
return x<p_v.x;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
bool Vector3::operator<=(const Vector3& p_v) const
|
|
|
|
{
|
|
|
|
if (x==p_v.x) {
|
|
|
|
if (y==p_v.y)
|
|
|
|
return z<=p_v.z;
|
|
|
|
else
|
|
|
|
return y<p_v.y;
|
|
|
|
} else {
|
|
|
|
return x<p_v.x;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::abs() const
|
|
|
|
{
|
|
|
|
return Vector3(::fabs(x), ::fabs(y), ::fabs(z));
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::ceil() const
|
|
|
|
{
|
|
|
|
return Vector3(::ceil(x), ::ceil(y), ::ceil(z));
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::cross(const Vector3& b) const
|
|
|
|
{
|
|
|
|
Vector3 ret (
|
|
|
|
(y * b.z) - (z * b.y),
|
|
|
|
(z * b.x) - (x * b.z),
|
|
|
|
(x * b.y) - (y * b.x)
|
|
|
|
);
|
|
|
|
|
|
|
|
return ret;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::linear_interpolate(const Vector3& p_b,real_t p_t) const
|
|
|
|
{
|
|
|
|
return Vector3(
|
|
|
|
x+(p_t * (p_b.x-x)),
|
|
|
|
y+(p_t * (p_b.y-y)),
|
|
|
|
z+(p_t * (p_b.z-z))
|
|
|
|
);
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::cubic_interpolate(const Vector3& b, const Vector3& pre_a, const Vector3& post_b, const real_t t) const
|
|
|
|
{
|
|
|
|
Vector3 p0=pre_a;
|
|
|
|
Vector3 p1=*this;
|
|
|
|
Vector3 p2=b;
|
|
|
|
Vector3 p3=post_b;
|
|
|
|
|
|
|
|
real_t t2 = t * t;
|
|
|
|
real_t t3 = t2 * t;
|
|
|
|
|
|
|
|
Vector3 out;
|
|
|
|
out = ( ( p1 * 2.0) +
|
|
|
|
( -p0 + p2 ) * t +
|
|
|
|
( p0 * 2.0 - p1 * 5.0 + p2 * 4 - p3 ) * t2 +
|
|
|
|
( -p0 + p1 * 3.0 - p2 * 3.0 + p3 ) * t3 ) * 0.5;
|
|
|
|
return out;
|
|
|
|
}
|
|
|
|
|
|
|
|
real_t Vector3::length() const
|
|
|
|
{
|
|
|
|
real_t x2=x*x;
|
|
|
|
real_t y2=y*y;
|
|
|
|
real_t z2=z*z;
|
|
|
|
|
|
|
|
return ::sqrt(x2+y2+z2);
|
|
|
|
}
|
|
|
|
|
|
|
|
real_t Vector3::length_squared() const
|
|
|
|
{
|
|
|
|
real_t x2=x*x;
|
|
|
|
real_t y2=y*y;
|
|
|
|
real_t z2=z*z;
|
|
|
|
|
|
|
|
return x2+y2+z2;
|
|
|
|
}
|
|
|
|
|
|
|
|
real_t Vector3::distance_squared_to(const Vector3& b) const
|
|
|
|
{
|
|
|
|
return (b-*this).length();
|
|
|
|
}
|
|
|
|
|
|
|
|
real_t Vector3::distance_to(const Vector3& b) const
|
|
|
|
{
|
|
|
|
return (b-*this).length_squared();
|
|
|
|
}
|
|
|
|
|
|
|
|
real_t Vector3::dot(const Vector3& b) const
|
|
|
|
{
|
|
|
|
return x*b.x + y*b.y + z*b.z;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::floor() const
|
|
|
|
{
|
|
|
|
return Vector3(::floor(x), ::floor(y), ::floor(z));
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::inverse() const
|
|
|
|
{
|
|
|
|
return Vector3( 1.0/x, 1.0/y, 1.0/z );
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
int Vector3::max_axis() const
|
|
|
|
{
|
|
|
|
return x < y ? (y < z ? 2 : 1) : (x < z ? 2 : 0);
|
|
|
|
}
|
|
|
|
|
|
|
|
int Vector3::min_axis() const
|
|
|
|
{
|
|
|
|
return x < y ? (x < z ? 0 : 2) : (y < z ? 1 : 2);
|
|
|
|
}
|
|
|
|
|
|
|
|
void Vector3::normalize()
|
|
|
|
{
|
|
|
|
real_t l=length();
|
|
|
|
if (l==0) {
|
|
|
|
x=y=z=0;
|
|
|
|
} else {
|
|
|
|
x/=l;
|
|
|
|
y/=l;
|
|
|
|
z/=l;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::normalized() const
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v.normalize();
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::reflect(const Vector3& by) const
|
|
|
|
{
|
|
|
|
return by - *this * this->dot(by) * 2.0;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::rotated(const Vector3& axis, const real_t phi) const
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v.rotate(axis, phi);
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
void Vector3::rotate(const Vector3& p_axis,real_t p_phi)
|
|
|
|
{
|
|
|
|
*this=Basis(p_axis,p_phi).xform(*this);
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3 Vector3::slide(const Vector3& by) const
|
|
|
|
{
|
|
|
|
return by - *this * this->dot(by);
|
|
|
|
}
|
|
|
|
|
|
|
|
// this is ugly as well, but hey, I'm a simple man
|
|
|
|
#define _ugly_stepify(val, step) (step != 0 ? ::floor(val / step + 0.5) * step : val)
|
|
|
|
|
|
|
|
void Vector3::snap(real_t p_val)
|
|
|
|
{
|
|
|
|
x = _ugly_stepify(x,p_val);
|
|
|
|
y = _ugly_stepify(y,p_val);
|
|
|
|
z = _ugly_stepify(z,p_val);
|
|
|
|
}
|
|
|
|
|
|
|
|
#undef _ugly_stepify
|
|
|
|
|
|
|
|
Vector3 Vector3::snapped(const float by)
|
|
|
|
{
|
|
|
|
Vector3 v = *this;
|
|
|
|
v.snap(by);
|
|
|
|
return v;
|
|
|
|
}
|
|
|
|
|
|
|
|
Vector3::operator String() const
|
|
|
|
{
|
|
|
|
return String(); // @Todo
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|