godot/modules/jolt_physics/misc/jolt_math_funcs.cpp

/**************************************************************************/
/*  jolt_math_funcs.cpp                                                   */
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/* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur.                  */
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/*
Adapted to Godot from the Jolt Physics library.
*/

/*
Copyright 2021 Jorrit Rouwe

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 "jolt_math_funcs.h"

void JoltMath::decompose(Basis &p_basis, Vector3 &r_scale) {
	Vector3 x = p_basis.get_column(Vector3::AXIS_X);
	Vector3 y = p_basis.get_column(Vector3::AXIS_Y);
	Vector3 z = p_basis.get_column(Vector3::AXIS_Z);

	const real_t x_dot_x = x.dot(x);
	y -= x * (y.dot(x) / x_dot_x);
	z -= x * (z.dot(x) / x_dot_x);
	const real_t y_dot_y = y.dot(y);
	z -= y * (z.dot(y) / y_dot_y);
	const real_t z_dot_z = z.dot(z);

	const real_t det = x.cross(y).dot(z);

	r_scale = SIGN(det) * Vector3(Math::sqrt(x_dot_x), Math::sqrt(y_dot_y), Math::sqrt(z_dot_z));

	p_basis.set_column(Vector3::AXIS_X, x / r_scale.x);
	p_basis.set_column(Vector3::AXIS_Y, y / r_scale.y);
	p_basis.set_column(Vector3::AXIS_Z, z / r_scale.z);
}