MathUtil.h
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/******************************************************************************
* Spine Runtimes License Agreement
* Last updated May 1, 2019. Replaces all prior versions.
*
* Copyright (c) 2013-2019, Esoteric Software LLC
*
* Integration of the Spine Runtimes into software or otherwise creating
* derivative works of the Spine Runtimes is permitted under the terms and
* conditions of Section 2 of the Spine Editor License Agreement:
* http://esotericsoftware.com/spine-editor-license
*
* Otherwise, it is permitted to integrate the Spine Runtimes into software
* or otherwise create derivative works of the Spine Runtimes (collectively,
* "Products"), provided that each user of the Products must obtain their own
* Spine Editor license and redistribution of the Products in any form must
* include this license and copyright notice.
*
* THIS SOFTWARE IS PROVIDED BY ESOTERIC SOFTWARE LLC "AS IS" AND ANY EXPRESS
* OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN
* NO EVENT SHALL ESOTERIC SOFTWARE LLC BE LIABLE FOR ANY DIRECT, INDIRECT,
* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES, BUSINESS
* INTERRUPTION, OR LOSS OF USE, DATA, OR PROFITS) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
* NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*****************************************************************************/
#ifndef Spine_MathUtil_h
#define Spine_MathUtil_h
#include <spine/SpineObject.h>
#include <string.h>
namespace spine {
class SP_API MathUtil : public SpineObject {
private:
MathUtil();
public:
static const float Pi;
static const float Pi_2;
static const float Deg_Rad;
static const float Rad_Deg;
template<typename T>
static inline T min(T a, T b) { return a < b ? a : b; }
template<typename T>
static inline T max(T a, T b) { return a > b ? a : b; }
static float sign(float val);
static float clamp(float x, float lower, float upper);
static float abs(float v);
/// Returns the sine in radians from a lookup table.
static float sin(float radians);
/// Returns the cosine in radians from a lookup table.
static float cos(float radians);
/// Returns the sine in radians from a lookup table.
static float sinDeg(float degrees);
/// Returns the cosine in radians from a lookup table.
static float cosDeg(float degrees);
/// Returns atan2 in radians, faster but less accurate than Math.Atan2. Average error of 0.00231 radians (0.1323
/// degrees), largest error of 0.00488 radians (0.2796 degrees).
static float atan2(float y, float x);
static float acos(float v);
static float sqrt(float v);
static float fmod(float a, float b);
static bool isNan(float v);
static float random();
static float randomTriangular(float min, float max);
static float randomTriangular(float min, float max, float mode);
static float pow(float a, float b);
};
struct SP_API Interpolation {
virtual float apply(float a) = 0;
virtual float interpolate(float start, float end, float a) {
return start + (end - start) * apply(a);
}
virtual ~Interpolation() {};
};
struct SP_API PowInterpolation: public Interpolation {
PowInterpolation(int power): power(power) {
}
float apply(float a) {
if (a <= 0.5f) return MathUtil::pow(a * 2.0f, (float)power) / 2.0f;
return MathUtil::pow((a - 1.0f) * 2.0f, (float)power) / (power % 2 == 0 ? -2.0f : 2.0f) + 1.0f;
}
int power;
};
struct SP_API PowOutInterpolation: public Interpolation {
PowOutInterpolation(int power): power(power) {
}
float apply(float a) {
return MathUtil::pow(a - 1, (float)power) * (power % 2 == 0 ? -1.0f : 1.0f) + 1.0f;
}
int power;
};
}
#endif /* Spine_MathUtil_h */