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/*************************************************************************/
/* vector3.cpp */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2018 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2018 Godot Engine contributors (cf. AUTHORS.md) */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of the Software, and to */
/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#include "vector3.h"
#include "matrix3.h"
void Vector3::rotate(const Vector3 &p_axis, real_t p_phi) {
*this = Basis(p_axis, p_phi).xform(*this);
}
Vector3 Vector3::rotated(const Vector3 &p_axis, real_t p_phi) const {
Vector3 r = *this;
r.rotate(p_axis, p_phi);
return r;
}
void Vector3::set_axis(int p_axis, real_t p_value) {
ERR_FAIL_INDEX(p_axis, 3);
coord[p_axis] = p_value;
}
real_t Vector3::get_axis(int p_axis) const {
ERR_FAIL_INDEX_V(p_axis, 3, 0);
return operator[](p_axis);
}
int Vector3::min_axis() const {
return x < y ? (x < z ? 0 : 2) : (y < z ? 1 : 2);
}
int Vector3::max_axis() const {
return x < y ? (y < z ? 2 : 1) : (x < z ? 2 : 0);
}
void Vector3::snap(Vector3 p_val) {
x = Math::stepify(x, p_val.x);
y = Math::stepify(y, p_val.y);
z = Math::stepify(z, p_val.z);
}
Vector3 Vector3::snapped(Vector3 p_val) const {
Vector3 v = *this;
v.snap(p_val);
return v;
}
Vector3 Vector3::cubic_interpolaten(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, real_t p_t) const {
Vector3 p0 = p_pre_a;
Vector3 p1 = *this;
Vector3 p2 = p_b;
Vector3 p3 = p_post_b;
{
//normalize
real_t ab = p0.distance_to(p1);
real_t bc = p1.distance_to(p2);
real_t cd = p2.distance_to(p3);
if (ab > 0)
p0 = p1 + (p0 - p1) * (bc / ab);
if (cd > 0)
p3 = p2 + (p3 - p2) * (bc / cd);
}
real_t t = p_t;
real_t t2 = t * t;
real_t t3 = t2 * t;
Vector3 out;
out = 0.5 * ((p1 * 2.0) +
(-p0 + p2) * t +
(2.0 * p0 - 5.0 * p1 + 4 * p2 - p3) * t2 +
(-p0 + 3.0 * p1 - 3.0 * p2 + p3) * t3);
return out;
}
Vector3 Vector3::cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, real_t p_t) const {
Vector3 p0 = p_pre_a;
Vector3 p1 = *this;
Vector3 p2 = p_b;
Vector3 p3 = p_post_b;
real_t t = p_t;
real_t t2 = t * t;
real_t t3 = t2 * t;
Vector3 out;
out = 0.5 * ((p1 * 2.0) +
(-p0 + p2) * t +
(2.0 * p0 - 5.0 * p1 + 4 * p2 - p3) * t2 +
(-p0 + 3.0 * p1 - 3.0 * p2 + p3) * t3);
return out;
}
Vector3::operator String() const {
return (rtos(x) + ", " + rtos(y) + ", " + rtos(z));
}
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