148 lines
5 KiB
C++
148 lines
5 KiB
C++
/**************************************************************************/
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/* math_defs.h */
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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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#pragma once
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#include "core/typedefs.h"
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#include <limits>
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namespace Math {
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inline constexpr double SQRT2 = 1.4142135623730950488016887242;
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inline constexpr double SQRT3 = 1.7320508075688772935274463415059;
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inline constexpr double SQRT12 = 0.7071067811865475244008443621048490;
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inline constexpr double SQRT13 = 0.57735026918962576450914878050196;
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inline constexpr double LN2 = 0.6931471805599453094172321215;
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inline constexpr double TAU = 6.2831853071795864769252867666;
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inline constexpr double PI = 3.1415926535897932384626433833;
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inline constexpr double E = 2.7182818284590452353602874714;
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inline constexpr double INF = std::numeric_limits<double>::infinity();
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inline constexpr double NaN = std::numeric_limits<double>::quiet_NaN();
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} // namespace Math
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#define CMP_EPSILON 0.00001
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#define CMP_EPSILON2 (CMP_EPSILON * CMP_EPSILON)
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#define CMP_NORMALIZE_TOLERANCE 0.000001
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#define CMP_POINT_IN_PLANE_EPSILON 0.00001
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#ifdef DEBUG_ENABLED
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#define MATH_CHECKS
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#endif
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//this epsilon is for values related to a unit size (scalar or vector len)
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#ifdef PRECISE_MATH_CHECKS
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#define UNIT_EPSILON 0.00001
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#else
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//tolerate some more floating point error normally
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#define UNIT_EPSILON 0.001
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#endif
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#define USEC_TO_SEC(m_usec) ((m_usec) / 1000000.0)
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enum ClockDirection {
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CLOCKWISE,
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COUNTERCLOCKWISE
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};
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enum Orientation {
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HORIZONTAL,
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VERTICAL
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};
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enum HorizontalAlignment {
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HORIZONTAL_ALIGNMENT_LEFT,
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HORIZONTAL_ALIGNMENT_CENTER,
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HORIZONTAL_ALIGNMENT_RIGHT,
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HORIZONTAL_ALIGNMENT_FILL,
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};
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enum VerticalAlignment {
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VERTICAL_ALIGNMENT_TOP,
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VERTICAL_ALIGNMENT_CENTER,
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VERTICAL_ALIGNMENT_BOTTOM,
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VERTICAL_ALIGNMENT_FILL,
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};
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enum InlineAlignment {
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// Image alignment points.
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INLINE_ALIGNMENT_TOP_TO = 0b0000,
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INLINE_ALIGNMENT_CENTER_TO = 0b0001,
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INLINE_ALIGNMENT_BASELINE_TO = 0b0011,
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INLINE_ALIGNMENT_BOTTOM_TO = 0b0010,
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INLINE_ALIGNMENT_IMAGE_MASK = 0b0011,
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// Text alignment points.
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INLINE_ALIGNMENT_TO_TOP = 0b0000,
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INLINE_ALIGNMENT_TO_CENTER = 0b0100,
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INLINE_ALIGNMENT_TO_BASELINE = 0b1000,
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INLINE_ALIGNMENT_TO_BOTTOM = 0b1100,
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INLINE_ALIGNMENT_TEXT_MASK = 0b1100,
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// Presets.
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INLINE_ALIGNMENT_TOP = INLINE_ALIGNMENT_TOP_TO | INLINE_ALIGNMENT_TO_TOP,
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INLINE_ALIGNMENT_CENTER = INLINE_ALIGNMENT_CENTER_TO | INLINE_ALIGNMENT_TO_CENTER,
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INLINE_ALIGNMENT_BOTTOM = INLINE_ALIGNMENT_BOTTOM_TO | INLINE_ALIGNMENT_TO_BOTTOM
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};
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enum Side {
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SIDE_LEFT,
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SIDE_TOP,
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SIDE_RIGHT,
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SIDE_BOTTOM
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};
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enum Corner {
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CORNER_TOP_LEFT,
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CORNER_TOP_RIGHT,
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CORNER_BOTTOM_RIGHT,
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CORNER_BOTTOM_LEFT
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};
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enum class EulerOrder {
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XYZ,
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XZY,
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YXZ,
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YZX,
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ZXY,
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ZYX
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};
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/**
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* The "Real" type is an abstract type used for real numbers, such as 1.5,
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* in contrast to integer numbers. Precision can be controlled with the
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* presence or absence of the REAL_T_IS_DOUBLE define.
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*/
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#ifdef REAL_T_IS_DOUBLE
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typedef double real_t;
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#else
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typedef float real_t;
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#endif
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