2023-01-05 13:25:55 +01:00
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/**************************************************************************/
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/* vector3.cpp */
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/**************************************************************************/
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/* This file is part of: */
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/* GODOT ENGINE */
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/* https://godotengine.org */
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/**************************************************************************/
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/* Copyright (c) 2014-present Godot Engine contributors (see AUTHORS.md). */
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/* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur. */
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/* */
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/* Permission is hereby granted, free of charge, to any person obtaining */
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/* a copy of this software and associated documentation files (the */
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/* "Software"), to deal in the Software without restriction, including */
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/* without limitation the rights to use, copy, modify, merge, publish, */
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/* distribute, sublicense, and/or sell copies of the Software, and to */
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/* permit persons to whom the Software is furnished to do so, subject to */
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/* the following conditions: */
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/* */
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/* The above copyright notice and this permission notice shall be */
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/* included in all copies or substantial portions of the Software. */
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/* */
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/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
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/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
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/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. */
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/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
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/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
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/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
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/**************************************************************************/
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2018-01-05 00:50:27 +01:00
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2014-02-10 02:10:30 +01:00
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#include "vector3.h"
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2018-09-11 18:13:45 +02:00
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2019-02-09 06:24:02 +01:00
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#include "core/math/basis.h"
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2022-02-19 16:47:24 +01:00
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#include "core/math/vector2.h"
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#include "core/math/vector3i.h"
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#include "core/string/ustring.h"
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2014-02-10 02:10:30 +01:00
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2024-02-17 23:24:59 +01:00
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void Vector3::rotate(const Vector3 &p_axis, real_t p_angle) {
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2022-05-05 13:25:04 +02:00
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*this = Basis(p_axis, p_angle).xform(*this);
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2014-02-10 02:10:30 +01:00
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}
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2024-02-17 23:24:59 +01:00
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Vector3 Vector3::rotated(const Vector3 &p_axis, real_t p_angle) const {
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2014-02-10 02:10:30 +01:00
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Vector3 r = *this;
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2022-05-05 13:25:04 +02:00
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r.rotate(p_axis, p_angle);
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2014-02-10 02:10:30 +01:00
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return r;
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}
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2021-02-01 06:10:52 +01:00
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Vector3 Vector3::clamp(const Vector3 &p_min, const Vector3 &p_max) const {
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return Vector3(
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CLAMP(x, p_min.x, p_max.x),
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CLAMP(y, p_min.y, p_max.y),
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CLAMP(z, p_min.z, p_max.z));
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}
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2024-02-17 23:24:59 +01:00
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void Vector3::snap(const Vector3 &p_step) {
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2020-12-21 19:02:57 +01:00
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x = Math::snapped(x, p_step.x);
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y = Math::snapped(y, p_step.y);
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z = Math::snapped(z, p_step.z);
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2014-02-10 02:10:30 +01:00
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}
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2020-05-14 14:29:06 +02:00
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2024-02-17 23:24:59 +01:00
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Vector3 Vector3::snapped(const Vector3 &p_step) const {
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2017-03-05 16:44:50 +01:00
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Vector3 v = *this;
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2020-12-21 19:02:57 +01:00
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v.snap(p_step);
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2016-10-01 20:54:31 +02:00
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return v;
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2014-02-10 02:10:30 +01:00
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}
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2024-02-17 23:24:59 +01:00
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Vector3 Vector3::limit_length(real_t p_len) const {
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2021-02-01 06:42:00 +01:00
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const real_t l = length();
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Vector3 v = *this;
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if (l > 0 && p_len < l) {
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v /= l;
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v *= p_len;
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}
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return v;
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}
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2024-02-17 23:24:59 +01:00
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Vector3 Vector3::move_toward(const Vector3 &p_to, real_t p_delta) const {
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2019-04-07 23:40:56 +02:00
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Vector3 v = *this;
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Vector3 vd = p_to - v;
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real_t len = vd.length();
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2022-02-24 08:17:00 +01:00
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return len <= p_delta || len < (real_t)CMP_EPSILON ? p_to : v + vd / len * p_delta;
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2019-04-07 23:40:56 +02:00
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}
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2022-02-19 16:47:24 +01:00
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Vector2 Vector3::octahedron_encode() const {
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Vector3 n = *this;
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n /= Math::abs(n.x) + Math::abs(n.y) + Math::abs(n.z);
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Vector2 o;
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if (n.z >= 0.0f) {
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o.x = n.x;
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o.y = n.y;
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} else {
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o.x = (1.0f - Math::abs(n.y)) * (n.x >= 0.0f ? 1.0f : -1.0f);
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o.y = (1.0f - Math::abs(n.x)) * (n.y >= 0.0f ? 1.0f : -1.0f);
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}
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o.x = o.x * 0.5f + 0.5f;
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o.y = o.y * 0.5f + 0.5f;
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return o;
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}
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Vector3 Vector3::octahedron_decode(const Vector2 &p_oct) {
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Vector2 f(p_oct.x * 2.0f - 1.0f, p_oct.y * 2.0f - 1.0f);
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Vector3 n(f.x, f.y, 1.0f - Math::abs(f.x) - Math::abs(f.y));
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float t = CLAMP(-n.z, 0.0f, 1.0f);
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n.x += n.x >= 0 ? -t : t;
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n.y += n.y >= 0 ? -t : t;
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return n.normalized();
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}
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2024-02-17 23:24:59 +01:00
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Vector2 Vector3::octahedron_tangent_encode(float p_sign) const {
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2023-02-14 04:24:14 +01:00
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const float bias = 1.0f / 32767.0f;
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2024-01-28 21:51:39 +01:00
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Vector2 res = octahedron_encode();
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2023-02-14 04:24:14 +01:00
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res.y = MAX(res.y, bias);
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2022-02-23 00:10:09 +01:00
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res.y = res.y * 0.5f + 0.5f;
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2024-02-17 23:24:59 +01:00
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res.y = p_sign >= 0.0f ? res.y : 1 - res.y;
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2022-02-23 00:10:09 +01:00
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return res;
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}
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2024-02-17 23:24:59 +01:00
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Vector3 Vector3::octahedron_tangent_decode(const Vector2 &p_oct, float *r_sign) {
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2022-02-23 00:10:09 +01:00
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Vector2 oct_compressed = p_oct;
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oct_compressed.y = oct_compressed.y * 2 - 1;
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2024-02-17 23:24:59 +01:00
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*r_sign = oct_compressed.y >= 0.0f ? 1.0f : -1.0f;
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2022-02-23 00:10:09 +01:00
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oct_compressed.y = Math::abs(oct_compressed.y);
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Vector3 res = Vector3::octahedron_decode(oct_compressed);
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return res;
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}
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2021-11-29 18:02:42 +01:00
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Basis Vector3::outer(const Vector3 &p_with) const {
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2022-08-31 06:28:36 +02:00
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Basis basis;
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basis.rows[0] = Vector3(x * p_with.x, x * p_with.y, x * p_with.z);
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basis.rows[1] = Vector3(y * p_with.x, y * p_with.y, y * p_with.z);
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basis.rows[2] = Vector3(z * p_with.x, z * p_with.y, z * p_with.z);
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return basis;
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2019-10-07 16:26:27 +02:00
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}
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2019-10-14 22:33:45 +02:00
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bool Vector3::is_equal_approx(const Vector3 &p_v) const {
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return Math::is_equal_approx(x, p_v.x) && Math::is_equal_approx(y, p_v.y) && Math::is_equal_approx(z, p_v.z);
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}
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2022-09-02 02:32:33 +02:00
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bool Vector3::is_zero_approx() const {
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return Math::is_zero_approx(x) && Math::is_zero_approx(y) && Math::is_zero_approx(z);
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}
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2022-08-11 10:12:27 +02:00
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bool Vector3::is_finite() const {
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return Math::is_finite(x) && Math::is_finite(y) && Math::is_finite(z);
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}
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2014-02-10 02:10:30 +01:00
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Vector3::operator String() const {
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2021-02-25 15:54:50 +01:00
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return "(" + String::num_real(x, false) + ", " + String::num_real(y, false) + ", " + String::num_real(z, false) + ")";
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2014-02-10 02:10:30 +01:00
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}
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2022-02-19 16:47:24 +01:00
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Vector3::operator Vector3i() const {
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return Vector3i(x, y, z);
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}
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